{[ [[[1, 25]], 1/4058579251263839404032000000], [[[2, 25]], 1/4058579251263839404032000000], [[[1, 1], [2, 24]], 361/4058579251263839404032000000], [[[1, 1], [3, 12]], 1/45137758519296000], [[[1, 1], [4, 12]], 71/8218956791808000], [[[1, 1], [5, 6]], 1/2592000000], [[[1, 1], [6, 12]], 1/45137758519296000], [[[1, 1], [8, 6]], 17/424673280], [[[1, 1], [9, 4]], 1/933120], [[[1, 1], [10, 6]], 1/2592000000], [[[1, 1], [12, 6]], 13/1433272320], [[[1, 1], [15, 3]], 1/324000], [[[1, 1], [18, 4]], 1/933120], [[[1, 1], [20, 3]], 1/32000], [[[1, 1], [24, 3]], 7/165888], [[[1, 1], [30, 3]], 1/324000], [[[1, 1], [36, 2]], 1/1728], [[[1, 1], [45, 1]], 1/180], [[[1, 1], [72, 1]], 1/144], [[[1, 1], [90, 1]], 1/180], [[[1, 2], [2, 23]], 61/4509532501404266004480000], [[[1, 3], [2, 22]], 8551/7515887502340443340800000], [[[1, 3], [3, 11]], 1/752295975321600], [[[1, 4], [2, 21]], 58837/1002118333645392445440000], [[[1, 5], [2, 20]], 168293/85895857169605066752000], [[[1, 5], [3, 10]], 23/752295975321600], [[[1, 5], [4, 10]], 17/657516543344640], [[[1, 5], [5, 5]], 1/1728000000], [[[1, 6], [2, 19]], 15572911/357899404873354444800000], [[[1, 7], [2, 18]], 2944105177/4509532501404266004480000], [[[1, 7], [3, 9]], 30403/90275517038592000], [[[1, 7], [7, 3]], 1/263424], [[[1, 7], [9, 3]], 1/15116544], [[[1, 8], [2, 17]], 9002121985021/1352859750421279801344000000], [[[1, 9], [2, 16]], 62094055501141/1352859750421279801344000000], [[[1, 9], [3, 8]], 5416017067/22468573129605120000], [[[1, 9], [4, 8]], 396917/24854125338427392000], [[[1, 9], [5, 4]], 58061/200658124800000], [[[1, 9], [6, 8]], 1/67405719388815360000], [[[1, 9], [8, 4]], 1/57076088832000], [[[1, 9], [10, 4]], 1/1003290624000000], [[[1, 9], [12, 4]], 23/3467372396544000], [[[1, 9], [15, 2]], 1/2508226560000], [[[1, 9], [16, 2]], 1/535088332800], [[[1, 9], [20, 2]], 1/668860416000], [[[1, 9], [24, 2]], 1/535088332800], [[[1, 9], [30, 2]], 1/2508226560000], [[[1, 9], [40, 1]], 1/55738368000], [[[1, 9], [48, 1]], 1/66886041600], [[[1, 9], [60, 1]], 1/83607552000], [[[1, 10], [2, 15]], 477301776229/2254766250702133002240000], [[[1, 11], [2, 14]], 2391519486991/3757943751170221670400000], [[[1, 11], [3, 7]], 2697707/561714328240128000], [[[1, 12], [2, 13]], 251538177319/214739642924012666880000], [[[1, 13], [2, 12]], 251538177319/214739642924012666880000], [[[1, 13], [3, 6]], 8198441/1685142984720384000], [[[1, 13], [4, 6]], 15751/1183529778020352000], [[[1, 13], [5, 3]], 9677/200658124800000], [[[1, 13], [7, 2]], 1/2184944025600], [[[1, 13], [9, 2]], 1/32506616217600], [[[1, 14], [2, 11]], 2391519486991/3757943751170221670400000], [[[1, 15], [2, 10]], 477301776229/2254766250702133002240000], [[[1, 15], [3, 5]], 385181/3209796161372160000], [[[1, 16], [2, 9]], 62094055501141/1352859750421279801344000000], [[[1, 17], [2, 8]], 9002121985021/1352859750421279801344000000], [[[1, 17], [3, 4]], 105757867/100659207620630937600000], [[[1, 17], [4, 4]], 94501/89474851218338611200000], [[[1, 17], [5, 2]], 58061/233007425047756800000], [[[1, 17], [6, 4]], 1/301977622861892812800000], [[[1, 17], [8, 2]], 1/372811880076410880000], [[[1, 17], [10, 2]], 1/1165037125238784000000], [[[1, 17], [12, 2]], 1/559217820114616320000], [[[1, 17], [15, 1]], 1/58251856261939200000], [[[1, 17], [20, 1]], 1/38834570841292800000], [[[1, 17], [24, 1]], 1/46601485009551360000], [[[1, 17], [30, 1]], 1/58251856261939200000], [[[1, 18], [2, 7]], 2944105177/4509532501404266004480000], [[[1, 19], [2, 6]], 15572911/357899404873354444800000], [[[1, 19], [3, 3]], 165763/45296643429283921920000], [[[1, 19], [7, 1]], 1/54368399177809920000], [[[1, 19], [9, 1]], 1/209706682542981120000], [[[1, 20], [2, 5]], 168293/85895857169605066752000], [[[1, 21], [2, 4]], 58837/1002118333645392445440000], [[[1, 21], [3, 2]], 59/15098881143094640640000], [[[1, 21], [4, 2]], 1/35789940487335444480000], [[[1, 21], [5, 1]], 1/2330074250477568000000], [[[1, 22], [2, 3]], 8551/7515887502340443340800000], [[[1, 23], [2, 2]], 61/4509532501404266004480000], [[[1, 23], [3, 1]], 1/603955245723785625600000], [[[1, 24], [2, 1]], 361/4058579251263839404032000000], [[[2, 1], [3, 12]], 1/45137758519296000], [[[2, 1], [4, 12]], 71/8218956791808000], [[[2, 1], [5, 6]], 1/2592000000], [[[2, 1], [6, 12]], 1/45137758519296000], [[[2, 1], [8, 6]], 17/424673280], [[[2, 1], [9, 4]], 1/933120], [[[2, 1], [10, 6]], 1/2592000000], [[[2, 1], [12, 6]], 13/1433272320], [[[2, 1], [15, 3]], 1/324000], [[[2, 1], [18, 4]], 1/933120], [[[2, 1], [20, 3]], 1/32000], [[[2, 1], [24, 3]], 7/165888], [[[2, 1], [30, 3]], 1/324000], [[[2, 1], [36, 2]], 1/1728], [[[2, 1], [45, 1]], 1/180], [[[2, 1], [72, 1]], 1/144], [[[2, 1], [90, 1]], 1/180], [[[2, 3], [6, 11]], 1/752295975321600], [[[2, 5], [4, 10]], 17/657516543344640], [[[2, 5], [6, 10]], 23/752295975321600], [[[2, 5], [10, 5]], 1/1728000000], [[[2, 7], [6, 9]], 30403/90275517038592000], [[[2, 7], [14, 3]], 1/263424], [[[2, 7], [18, 3]], 1/15116544], [[[2, 9], [3, 8]], 1/67405719388815360000], [[[2, 9], [4, 8]], 396917/24854125338427392000], [[[2, 9], [5, 4]], 1/1003290624000000], [[[2, 9], [6, 8]], 5416017067/22468573129605120000], [[[2, 9], [8, 4]], 1/57076088832000], [[[2, 9], [10, 4]], 58061/200658124800000], [[[2, 9], [12, 4]], 23/3467372396544000], [[[2, 9], [15, 2]], 1/2508226560000], [[[2, 9], [16, 2]], 1/535088332800], [[[2, 9], [20, 2]], 1/668860416000], [[[2, 9], [24, 2]], 1/535088332800], [[[2, 9], [30, 2]], 1/2508226560000], [[[2, 9], [40, 1]], 1/55738368000], [[[2, 9], [48, 1]], 1/66886041600], [[[2, 9], [60, 1]], 1/83607552000], [[[2, 11], [6, 7]], 2697707/561714328240128000], [[[2, 13], [4, 6]], 15751/1183529778020352000], [[[2, 13], [6, 6]], 8198441/1685142984720384000], [[[2, 13], [10, 3]], 9677/200658124800000], [[[2, 13], [14, 2]], 1/2184944025600], [[[2, 13], [18, 2]], 1/32506616217600], [[[2, 15], [6, 5]], 385181/3209796161372160000], [[[2, 17], [3, 4]], 1/301977622861892812800000], [[[2, 17], [4, 4]], 94501/89474851218338611200000], [[[2, 17], [5, 2]], 1/1165037125238784000000], [[[2, 17], [6, 4]], 105757867/100659207620630937600000], [[[2, 17], [8, 2]], 1/372811880076410880000], [[[2, 17], [10, 2]], 58061/233007425047756800000], [[[2, 17], [12, 2]], 1/559217820114616320000], [[[2, 17], [15, 1]], 1/58251856261939200000], [[[2, 17], [20, 1]], 1/38834570841292800000], [[[2, 17], [24, 1]], 1/46601485009551360000], [[[2, 17], [30, 1]], 1/58251856261939200000], [[[2, 19], [6, 3]], 165763/45296643429283921920000], [[[2, 19], [14, 1]], 1/54368399177809920000], [[[2, 19], [18, 1]], 1/209706682542981120000], [[[2, 21], [4, 2]], 1/35789940487335444480000], [[[2, 21], [6, 2]], 59/15098881143094640640000], [[[2, 21], [10, 1]], 1/2330074250477568000000], [[[2, 23], [6, 1]], 1/603955245723785625600000], [[[1, 1], [2, 2], [3, 11]], 1/250765325107200], [[[1, 1], [2, 2], [4, 11]], 71/45660871065600], [[[1, 1], [2, 2], [6, 11]], 1/188073993830400], [[[1, 1], [2, 4], [4, 10]], 221/657516543344640], [[[1, 1], [2, 4], [6, 10]], 161/752295975321600], [[[1, 1], [2, 4], [8, 5]], 1/31457280], [[[1, 1], [2, 4], [10, 5]], 11/1728000000], [[[1, 1], [2, 6], [4, 9]], 1717/547930452787200], [[[1, 1], [2, 6], [6, 9]], 304111/90275517038592000], [[[1, 1], [2, 6], [14, 3]], 1/65856], [[[1, 1], [2, 6], [18, 3]], 5/7558272], [[[1, 1], [2, 8], [3, 8]], 121/67405719388815360000], [[[1, 1], [2, 8], [4, 8]], 9924557/24854125338427392000], [[[1, 1], [2, 8], [5, 4]], 121/1003290624000000], [[[1, 1], [2, 8], [6, 8]], 5911773907/22468573129605120000], [[[1, 1], [2, 8], [8, 4]], 121/57076088832000], [[[1, 1], [2, 8], [10, 4]], 1219301/200658124800000], [[[1, 1], [2, 8], [12, 4]], 2783/3467372396544000], [[[1, 1], [2, 8], [15, 2]], 121/2508226560000], [[[1, 1], [2, 8], [16, 2]], 121/535088332800], [[[1, 1], [2, 8], [20, 2]], 121/668860416000], [[[1, 1], [2, 8], [24, 2]], 121/535088332800], [[[1, 1], [2, 8], [30, 2]], 121/2508226560000], [[[1, 1], [2, 8], [40, 1]], 121/55738368000], [[[1, 1], [2, 8], [48, 1]], 121/66886041600], [[[1, 1], [2, 8], [60, 1]], 121/83607552000], [[[1, 1], [2, 10], [3, 7]], 1/561714328240128000], [[[1, 1], [2, 10], [4, 7]], 41281/41423542230712320], [[[1, 1], [2, 10], [6, 7]], 10856357/140428582060032000], [[[1, 1], [2, 12], [4, 6]], 83269/169075682574336000], [[[1, 1], [2, 12], [6, 6]], 31880419/337028596944076800], [[[1, 1], [2, 12], [8, 3]], 1/102736959897600], [[[1, 1], [2, 12], [10, 3]], 300007/200658124800000], [[[1, 1], [2, 12], [14, 2]], 41/728314675200], [[[1, 1], [2, 12], [18, 2]], 127/32506616217600], [[[1, 1], [2, 14], [4, 5]], 15767/328758271672320000], [[[1, 1], [2, 14], [6, 5]], 132383519/22468573129605120000], [[[1, 1], [2, 16], [3, 4]], 241/301977622861892812800000], [[[1, 1], [2, 16], [4, 4]], 13702741/89474851218338611200000], [[[1, 1], [2, 16], [5, 2]], 241/1165037125238784000000], [[[1, 1], [2, 16], [6, 4]], 8647594747/100659207620630937600000], [[[1, 1], [2, 16], [8, 2]], 241/372811880076410880000], [[[1, 1], [2, 16], [10, 2]], 8186621/233007425047756800000], [[[1, 1], [2, 16], [12, 2]], 241/559217820114616320000], [[[1, 1], [2, 16], [15, 1]], 241/58251856261939200000], [[[1, 1], [2, 16], [20, 1]], 241/38834570841292800000], [[[1, 1], [2, 16], [24, 1]], 241/46601485009551360000], [[[1, 1], [2, 16], [30, 1]], 241/58251856261939200000], [[[1, 1], [2, 18], [3, 3]], 1/5032960381031546880000], [[[1, 1], [2, 18], [4, 3]], 3781/1491247520305643520000], [[[1, 1], [2, 18], [6, 3]], 5061463/11324160857320980480000], [[[1, 1], [2, 18], [7, 1]], 1/54368399177809920000], [[[1, 1], [2, 18], [9, 1]], 1/69902227514327040000], [[[1, 1], [2, 18], [14, 1]], 121/27184199588904960000], [[[1, 1], [2, 18], [18, 1]], 61/52426670635745280000], [[[1, 1], [2, 20], [4, 2]], 253/35789940487335444480000], [[[1, 1], [2, 20], [6, 2]], 11549/15098881143094640640000], [[[1, 1], [2, 20], [8, 1]], 1/745623760152821760000], [[[1, 1], [2, 20], [10, 1]], 251/2330074250477568000000], [[[1, 1], [2, 22], [4, 1]], 1/29824950406112870400000], [[[1, 1], [2, 22], [6, 1]], 277/603955245723785625600000], [[[1, 1], [3, 2], [6, 10]], 1/167176883404800], [[[1, 1], [3, 2], [12, 5]], 23/1433272320], [[[1, 1], [3, 3], [9, 3]], 1/1889568], [[[1, 1], [3, 4], [4, 8]], 17/5547795834470400], [[[1, 1], [3, 4], [5, 4]], 1/223948800000], [[[1, 1], [3, 4], [6, 8]], 163621/15045919506432000], [[[1, 1], [3, 4], [8, 4]], 1/12740198400], [[[1, 1], [3, 4], [10, 4]], 1/223948800000], [[[1, 1], [3, 4], [12, 4]], 8123/773967052800], [[[1, 1], [3, 4], [15, 2]], 1/559872000], [[[1, 1], [3, 4], [16, 2]], 1/119439360], [[[1, 1], [3, 4], [20, 2]], 1/149299200], [[[1, 1], [3, 4], [24, 2]], 1/119439360], [[[1, 1], [3, 4], [30, 2]], 1/559872000], [[[1, 1], [3, 4], [40, 1]], 1/12441600], [[[1, 1], [3, 4], [48, 1]], 1/14929920], [[[1, 1], [3, 4], [60, 1]], 1/18662400], [[[1, 1], [3, 6], [6, 6]], 79111/83588441702400], [[[1, 1], [3, 6], [9, 2]], 1/1813985280], [[[1, 1], [3, 6], [12, 3]], 91/25798901760], [[[1, 1], [3, 8], [4, 4]], 1/4458050224128000], [[[1, 1], [3, 8], [5, 2]], 1/58047528960000], [[[1, 1], [3, 8], [6, 4]], 163621/15045919506432000], [[[1, 1], [3, 8], [8, 2]], 1/18575209267200], [[[1, 1], [3, 8], [10, 2]], 1/58047528960000], [[[1, 1], [3, 8], [12, 2]], 541/27862813900800], [[[1, 1], [3, 8], [15, 1]], 1/2902376448000], [[[1, 1], [3, 8], [20, 1]], 1/1934917632000], [[[1, 1], [3, 8], [24, 1]], 1/2321901158400], [[[1, 1], [3, 8], [30, 1]], 1/2902376448000], [[[1, 1], [3, 9], [9, 1]], 1/5224277606400], [[[1, 1], [3, 10], [6, 2]], 1/167176883404800], [[[1, 1], [3, 10], [12, 1]], 1/27862813900800], [[[1, 1], [4, 2], [12, 5]], 7/39813120], [[[1, 1], [4, 4], [5, 4]], 1/66355200000], [[[1, 1], [4, 4], [6, 8]], 1/4458050224128000], [[[1, 1], [4, 4], [8, 4]], 803/11324620800], [[[1, 1], [4, 4], [10, 4]], 1/66355200000], [[[1, 1], [4, 4], [12, 4]], 349021/76441190400], [[[1, 1], [4, 4], [15, 2]], 1/165888000], [[[1, 1], [4, 4], [16, 2]], 1/35389440], [[[1, 1], [4, 4], [20, 2]], 2309/221184000], [[[1, 1], [4, 4], [24, 2]], 1/35389440], [[[1, 1], [4, 4], [30, 2]], 1/165888000], [[[1, 1], [4, 4], [40, 1]], 1/3686400], [[[1, 1], [4, 4], [48, 1]], 1/4423680], [[[1, 1], [4, 4], [60, 1]], 1/5529600], [[[1, 1], [4, 6], [12, 3]], 8983/5733089280], [[[1, 1], [4, 6], [28, 1]], 1/5160960], [[[1, 1], [4, 6], [36, 1]], 1/19906560], [[[1, 1], [4, 8], [5, 2]], 17/21403533312000], [[[1, 1], [4, 8], [6, 4]], 17/5547795834470400], [[[1, 1], [4, 8], [8, 2]], 2033/6849130659840], [[[1, 1], [4, 8], [10, 2]], 17/21403533312000], [[[1, 1], [4, 8], [12, 2]], 5443/380507258880], [[[1, 1], [4, 8], [15, 1]], 17/1070176665600], [[[1, 1], [4, 8], [20, 1]], 16213/3567255552000], [[[1, 1], [4, 8], [24, 1]], 17/856141332480], [[[1, 1], [4, 8], [30, 1]], 17/1070176665600], [[[1, 1], [4, 10], [12, 1]], 103/4280706662400], [[[1, 1], [5, 2], [6, 8]], 1/58047528960000], [[[1, 1], [5, 2], [8, 4]], 1/49152000], [[[1, 1], [5, 2], [10, 4]], 601/864000000], [[[1, 1], [5, 2], [12, 4]], 23/2985984000], [[[1, 1], [5, 2], [15, 2]], 601/2160000], [[[1, 1], [5, 2], [16, 2]], 1/460800], [[[1, 1], [5, 2], [20, 2]], 1/576000], [[[1, 1], [5, 2], [24, 2]], 1/460800], [[[1, 1], [5, 2], [30, 2]], 1/2160000], [[[1, 1], [5, 2], [40, 1]], 1/48000], [[[1, 1], [5, 2], [48, 1]], 1/57600], [[[1, 1], [5, 2], [60, 1]], 1/72000], [[[1, 1], [5, 4], [6, 4]], 1/223948800000], [[[1, 1], [5, 4], [8, 2]], 1/276480000], [[[1, 1], [5, 4], [10, 2]], 601/864000000], [[[1, 1], [5, 4], [12, 2]], 1/414720000], [[[1, 1], [5, 4], [15, 1]], 1/43200000], [[[1, 1], [5, 4], [20, 1]], 1/28800000], [[[1, 1], [5, 4], [24, 1]], 1/34560000], [[[1, 1], [5, 4], [30, 1]], 1/43200000], [[[1, 1], [6, 2], [12, 5]], 23/1433272320], [[[1, 1], [6, 3], [18, 3]], 1/1889568], [[[1, 1], [6, 4], [8, 4]], 1/12740198400], [[[1, 1], [6, 4], [10, 4]], 1/223948800000], [[[1, 1], [6, 4], [12, 4]], 8123/773967052800], [[[1, 1], [6, 4], [15, 2]], 1/559872000], [[[1, 1], [6, 4], [16, 2]], 1/119439360], [[[1, 1], [6, 4], [20, 2]], 1/149299200], [[[1, 1], [6, 4], [24, 2]], 1/119439360], [[[1, 1], [6, 4], [30, 2]], 1/559872000], [[[1, 1], [6, 4], [40, 1]], 1/12441600], [[[1, 1], [6, 4], [48, 1]], 1/14929920], [[[1, 1], [6, 4], [60, 1]], 1/18662400], [[[1, 1], [6, 6], [12, 3]], 91/25798901760], [[[1, 1], [6, 6], [18, 2]], 1/1813985280], [[[1, 1], [6, 8], [8, 2]], 1/18575209267200], [[[1, 1], [6, 8], [10, 2]], 1/58047528960000], [[[1, 1], [6, 8], [12, 2]], 541/27862813900800], [[[1, 1], [6, 8], [15, 1]], 1/2902376448000], [[[1, 1], [6, 8], [20, 1]], 1/1934917632000], [[[1, 1], [6, 8], [24, 1]], 1/2321901158400], [[[1, 1], [6, 8], [30, 1]], 1/2902376448000], [[[1, 1], [6, 9], [18, 1]], 1/5224277606400], [[[1, 1], [6, 10], [12, 1]], 1/27862813900800], [[[1, 1], [8, 2], [10, 4]], 1/276480000], [[[1, 1], [8, 2], [12, 4]], 23/955514880], [[[1, 1], [8, 2], [15, 2]], 1/691200], [[[1, 1], [8, 2], [16, 2]], 1/147456], [[[1, 1], [8, 2], [20, 2]], 1/184320], [[[1, 1], [8, 2], [24, 2]], 451/442368], [[[1, 1], [8, 2], [30, 2]], 1/691200], [[[1, 1], [8, 2], [40, 1]], 1/15360], [[[1, 1], [8, 2], [48, 1]], 1/18432], [[[1, 1], [8, 2], [60, 1]], 1/23040], [[[1, 1], [8, 4], [10, 2]], 1/49152000], [[[1, 1], [8, 4], [12, 2]], 1/23592960], [[[1, 1], [8, 4], [15, 1]], 1/2457600], [[[1, 1], [8, 4], [20, 1]], 1/1638400], [[[1, 1], [8, 4], [24, 1]], 329/17694720], [[[1, 1], [8, 4], [30, 1]], 1/2457600], [[[1, 1], [9, 1], [27, 1]], 1/324], [[[1, 1], [9, 2], [18, 2]], 1/10368], [[[1, 1], [9, 2], [36, 1]], 1/1728], [[[1, 1], [10, 2], [12, 4]], 23/2985984000], [[[1, 1], [10, 2], [15, 2]], 1/2160000], [[[1, 1], [10, 2], [16, 2]], 1/460800], [[[1, 1], [10, 2], [20, 2]], 1/576000], [[[1, 1], [10, 2], [24, 2]], 1/460800], [[[1, 1], [10, 2], [30, 2]], 601/2160000], [[[1, 1], [10, 2], [40, 1]], 1/48000], [[[1, 1], [10, 2], [48, 1]], 1/57600], [[[1, 1], [10, 2], [60, 1]], 1/72000], [[[1, 1], [10, 4], [12, 2]], 1/414720000], [[[1, 1], [10, 4], [15, 1]], 1/43200000], [[[1, 1], [10, 4], [20, 1]], 1/28800000], [[[1, 1], [10, 4], [24, 1]], 1/34560000], [[[1, 1], [10, 4], [30, 1]], 1/43200000], [[[1, 1], [12, 2], [15, 2]], 1/1036800], [[[1, 1], [12, 2], [16, 2]], 1/221184], [[[1, 1], [12, 2], [20, 2]], 1/276480], [[[1, 1], [12, 2], [24, 2]], 1/24576], [[[1, 1], [12, 2], [30, 2]], 1/1036800], [[[1, 1], [12, 2], [40, 1]], 1/23040], [[[1, 1], [12, 2], [48, 1]], 1/27648], [[[1, 1], [12, 2], [60, 1]], 1/34560], [[[1, 1], [12, 3], [36, 1]], 1/62208], [[[1, 1], [12, 4], [15, 1]], 23/149299200], [[[1, 1], [12, 4], [20, 1]], 23/99532800], [[[1, 1], [12, 4], [24, 1]], 383/119439360], [[[1, 1], [12, 4], [30, 1]], 23/149299200], [[[1, 1], [15, 1], [16, 2]], 1/23040], [[[1, 1], [15, 1], [20, 2]], 1/28800], [[[1, 1], [15, 1], [24, 2]], 1/23040], [[[1, 1], [15, 1], [30, 2]], 31/108000], [[[1, 1], [15, 1], [40, 1]], 1/2400], [[[1, 1], [15, 1], [48, 1]], 1/2880], [[[1, 1], [15, 1], [60, 1]], 1/3600], [[[1, 1], [15, 2], [20, 1]], 1/72000], [[[1, 1], [15, 2], [24, 1]], 1/86400], [[[1, 1], [15, 2], [30, 1]], 31/108000], [[[1, 1], [16, 2], [20, 1]], 1/15360], [[[1, 1], [16, 2], [24, 1]], 1/18432], [[[1, 1], [16, 2], [30, 1]], 1/23040], [[[1, 1], [18, 1], [54, 1]], 1/324], [[[1, 1], [18, 2], [36, 1]], 1/1728], [[[1, 1], [20, 1], [24, 2]], 1/15360], [[[1, 1], [20, 1], [30, 2]], 1/72000], [[[1, 1], [20, 1], [40, 1]], 1/1600], [[[1, 1], [20, 1], [48, 1]], 1/1920], [[[1, 1], [20, 1], [60, 1]], 7/800], [[[1, 1], [20, 2], [24, 1]], 1/23040], [[[1, 1], [20, 2], [30, 1]], 1/28800], [[[1, 1], [24, 1], [30, 2]], 1/86400], [[[1, 1], [24, 1], [40, 1]], 1/1920], [[[1, 1], [24, 1], [48, 1]], 1/2304], [[[1, 1], [24, 1], [60, 1]], 1/2880], [[[1, 1], [24, 2], [30, 1]], 1/23040], [[[1, 1], [30, 1], [40, 1]], 1/2400], [[[1, 1], [30, 1], [48, 1]], 1/2880], [[[1, 1], [30, 1], [60, 1]], 1/3600], [[[1, 2], [2, 1], [3, 11]], 1/188073993830400], [[[1, 2], [2, 1], [4, 11]], 71/45660871065600], [[[1, 2], [2, 1], [6, 11]], 1/250765325107200], [[[1, 2], [2, 3], [3, 10]], 23/83588441702400], [[[1, 2], [2, 3], [4, 10]], 54353/547930452787200], [[[1, 2], [2, 3], [5, 5]], 1/115200000], [[[1, 2], [2, 3], [6, 10]], 23/50153065021440], [[[1, 2], [2, 3], [8, 5]], 7/31457280], [[[1, 2], [2, 3], [10, 5]], 1/69120000], [[[1, 2], [2, 5], [3, 9]], 1/668707533619200], [[[1, 2], [2, 5], [4, 9]], 22457/547930452787200], [[[1, 2], [2, 5], [6, 9]], 60851/5015306502144000], [[[1, 2], [2, 5], [14, 3]], 1/43904], [[[1, 2], [2, 5], [18, 3]], 1/419904], [[[1, 2], [2, 7], [3, 8]], 13/224685731296051200], [[[1, 2], [2, 7], [4, 8]], 8961089/82847084461424640], [[[1, 2], [2, 7], [5, 4]], 13/3344302080000], [[[1, 2], [2, 7], [6, 8]], 9109039/74895243765350400], [[[1, 2], [2, 7], [8, 4]], 1693/190253629440], [[[1, 2], [2, 7], [10, 4]], 29033/668860416000], [[[1, 2], [2, 7], [12, 4]], 299/11557907988480], [[[1, 2], [2, 7], [15, 2]], 13/8360755200], [[[1, 2], [2, 7], [16, 2]], 13/1783627776], [[[1, 2], [2, 7], [20, 2]], 13/2229534720], [[[1, 2], [2, 7], [24, 2]], 13/1783627776], [[[1, 2], [2, 7], [30, 2]], 13/8360755200], [[[1, 2], [2, 7], [40, 1]], 13/185794560], [[[1, 2], [2, 7], [48, 1]], 13/222953472], [[[1, 2], [2, 7], [60, 1]], 13/278691840], [[[1, 2], [2, 9], [3, 7]], 13/60183678025728000], [[[1, 2], [2, 9], [4, 7]], 5225261/207117711153561600], [[[1, 2], [2, 9], [6, 7]], 13688281/26748301344768000], [[[1, 2], [2, 11], [3, 6]], 13/187238109413376000], [[[1, 2], [2, 11], [4, 6]], 2963809/197254963003392000], [[[1, 2], [2, 11], [5, 3]], 1/66886041600000], [[[1, 2], [2, 11], [6, 6]], 147046231/187238109413376000], [[[1, 2], [2, 11], [7, 2]], 1/2184944025600], [[[1, 2], [2, 11], [8, 3]], 127/102736959897600], [[[1, 2], [2, 11], [9, 2]], 1/3611846246400], [[[1, 2], [2, 11], [10, 3]], 145193/8026324992000], [[[1, 2], [2, 11], [14, 2]], 1381/728314675200], [[[1, 2], [2, 11], [18, 2]], 103/722369249280], [[[1, 2], [2, 13], [3, 5]], 1/1497904875307008000], [[[1, 2], [2, 13], [4, 5]], 2133041/986274815016960000], [[[1, 2], [2, 13], [6, 5]], 363508207/3744762188267520000], [[[1, 2], [2, 15], [3, 4]], 37/503296038103154688000], [[[1, 2], [2, 15], [4, 4]], 9727489/149124752030564352000], [[[1, 2], [2, 15], [5, 2]], 37/1941728542064640000], [[[1, 2], [2, 15], [6, 4]], 442767223/167765346034384896000], [[[1, 2], [2, 15], [8, 2]], 1549/621353133460684800], [[[1, 2], [2, 15], [10, 2]], 624161/388345708412928000], [[[1, 2], [2, 15], [12, 2]], 37/932029700191027200], [[[1, 2], [2, 15], [15, 1]], 37/97086427103232000], [[[1, 2], [2, 15], [20, 1]], 37/64724284735488000], [[[1, 2], [2, 15], [24, 1]], 37/77669141682585600], [[[1, 2], [2, 15], [30, 1]], 37/97086427103232000], [[[1, 2], [2, 17], [3, 3]], 181/3774720285773660160000], [[[1, 2], [2, 17], [4, 3]], 578581/1491247520305643520000], [[[1, 2], [2, 17], [6, 3]], 36483187/1677653460343848960000], [[[1, 2], [2, 17], [7, 1]], 121/27184199588904960000], [[[1, 2], [2, 17], [9, 1]], 181/52426670635745280000], [[[1, 2], [2, 17], [14, 1]], 22441/54368399177809920000], [[[1, 2], [2, 17], [18, 1]], 283/2588971389419520000], [[[1, 2], [2, 19], [3, 2]], 1/559217820114616320000], [[[1, 2], [2, 19], [4, 2]], 4427/1988330027074191360000], [[[1, 2], [2, 19], [5, 1]], 1/155338283365171200000], [[[1, 2], [2, 19], [6, 2]], 293351/5032960381031546880000], [[[1, 2], [2, 19], [8, 1]], 247/745623760152821760000], [[[1, 2], [2, 19], [10, 1]], 197/18640594003820544000], [[[1, 2], [2, 21], [3, 1]], 1/13421227682750791680000], [[[1, 2], [2, 21], [4, 1]], 29/3313883378456985600000], [[[1, 2], [2, 21], [6, 1]], 5191/100659207620630937600000], [[[1, 3], [2, 2], [3, 10]], 23/50153065021440], [[[1, 3], [2, 2], [4, 10]], 54353/547930452787200], [[[1, 3], [2, 2], [5, 5]], 1/69120000], [[[1, 3], [2, 2], [6, 10]], 23/83588441702400], [[[1, 3], [2, 2], [8, 5]], 7/31457280], [[[1, 3], [2, 2], [10, 5]], 1/115200000], [[[1, 3], [2, 4], [3, 9]], 677/74300837068800], [[[1, 3], [2, 4], [4, 9]], 458093/164379135836160], [[[1, 3], [2, 4], [6, 9]], 6089/334353766809600], [[[1, 3], [2, 4], [7, 3]], 1/263424], [[[1, 3], [2, 4], [9, 3]], 1/559872], [[[1, 3], [2, 4], [14, 3]], 1/65856], [[[1, 3], [2, 4], [18, 3]], 1/279936], [[[1, 3], [2, 6], [3, 8]], 3211/17832200896512000], [[[1, 3], [2, 6], [4, 8]], 9229687/6575165433446400], [[[1, 3], [2, 6], [5, 4]], 11/265420800000], [[[1, 3], [2, 6], [6, 8]], 1780057/5944066965504000], [[[1, 3], [2, 6], [8, 4]], 5233/45298483200], [[[1, 3], [2, 6], [10, 4]], 6607/53084160000], [[[1, 3], [2, 6], [12, 4]], 253/917294284800], [[[1, 3], [2, 6], [15, 2]], 11/663552000], [[[1, 3], [2, 6], [16, 2]], 11/141557760], [[[1, 3], [2, 6], [20, 2]], 11/176947200], [[[1, 3], [2, 6], [24, 2]], 11/141557760], [[[1, 3], [2, 6], [30, 2]], 11/663552000], [[[1, 3], [2, 6], [40, 1]], 11/14745600], [[[1, 3], [2, 6], [48, 1]], 11/17694720], [[[1, 3], [2, 6], [60, 1]], 11/22118400], [[[1, 3], [2, 8], [3, 7]], 11821/1685142984720384000], [[[1, 3], [2, 8], [4, 7]], 23172137/17259809262796800], [[[1, 3], [2, 8], [6, 7]], 692093/390079394611200], [[[1, 3], [2, 10], [3, 6]], 949/112342865648025600], [[[1, 3], [2, 10], [4, 6]], 52892009/197254963003392000], [[[1, 3], [2, 10], [5, 3]], 73/40131624960000], [[[1, 3], [2, 10], [6, 6]], 44900599/12482540627558400], [[[1, 3], [2, 10], [7, 2]], 41/728314675200], [[[1, 3], [2, 10], [8, 3]], 22261/14676708556800], [[[1, 3], [2, 10], [9, 2]], 73/2167107747840], [[[1, 3], [2, 10], [10, 3]], 483131/4459069440000], [[[1, 3], [2, 10], [14, 2]], 49501/2184944025600], [[[1, 3], [2, 10], [18, 2]], 2447/1203948748800], [[[1, 3], [2, 12], [3, 5]], 1573/1497904875307008000], [[[1, 3], [2, 12], [4, 5]], 618319/11835297780203520], [[[1, 3], [2, 12], [6, 5]], 66600959/83216937517056000], [[[1, 3], [2, 14], [3, 4]], 36391/838826730171924480000], [[[1, 3], [2, 14], [4, 4]], 810796411/248541253384273920000], [[[1, 3], [2, 14], [5, 2]], 2791/3236214236774400000], [[[1, 3], [2, 14], [6, 4]], 11045166157/279608910057308160000], [[[1, 3], [2, 14], [8, 2]], 337951/1035588555767808000], [[[1, 3], [2, 14], [10, 2]], 21871739/647242847354880000], [[[1, 3], [2, 14], [12, 2]], 2791/1553382833651712000], [[[1, 3], [2, 14], [15, 1]], 2791/161810711838720000], [[[1, 3], [2, 14], [20, 1]], 2791/107873807892480000], [[[1, 3], [2, 14], [24, 1]], 2791/129448569470976000], [[[1, 3], [2, 14], [30, 1]], 2791/161810711838720000], [[[1, 3], [2, 16], [3, 3]], 66841/15098881143094640640000], [[[1, 3], [2, 16], [4, 3]], 545429/12427062669213696000], [[[1, 3], [2, 16], [6, 3]], 477623/873777843929088000], [[[1, 3], [2, 16], [7, 1]], 22441/54368399177809920000], [[[1, 3], [2, 16], [9, 1]], 66841/209706682542981120000], [[[1, 3], [2, 16], [14, 1]], 4279/226534996574208000], [[[1, 3], [2, 16], [18, 1]], 31/6067901693952000], [[[1, 3], [2, 18], [3, 2]], 29/67106138413753958400], [[[1, 3], [2, 18], [4, 2]], 1678961/5964990081222574080000], [[[1, 3], [2, 18], [5, 1]], 29/18640594003820544000], [[[1, 3], [2, 18], [6, 2]], 432883/186405940038205440000], [[[1, 3], [2, 18], [8, 1]], 23647/745623760152821760000], [[[1, 3], [2, 18], [10, 1]], 3281/6213531334606848000], [[[1, 3], [2, 20], [3, 1]], 253/13421227682750791680000], [[[1, 3], [2, 20], [4, 1]], 13/14315976194934177792], [[[1, 3], [2, 20], [6, 1]], 20773/6710613841375395840000], [[[1, 3], [3, 1], [4, 10]], 17/20547391979520], [[[1, 3], [3, 1], [5, 5]], 1/86400000], [[[1, 3], [3, 1], [6, 10]], 1/83588441702400], [[[1, 3], [3, 1], [12, 5]], 23/716636160], [[[1, 3], [3, 2], [9, 3]], 7/314928], [[[1, 3], [3, 2], [27, 1]], 1/648], [[[1, 3], [3, 3], [4, 8]], 17/277389791723520], [[[1, 3], [3, 3], [5, 4]], 1/11197440000], [[[1, 3], [3, 3], [6, 8]], 1621/752295975321600], [[[1, 3], [3, 3], [8, 4]], 1/637009920], [[[1, 3], [3, 3], [10, 4]], 1/11197440000], [[[1, 3], [3, 3], [12, 4]], 1643/38698352640], [[[1, 3], [3, 3], [15, 2]], 1/27993600], [[[1, 3], [3, 3], [16, 2]], 1/5971968], [[[1, 3], [3, 3], [20, 2]], 1/7464960], [[[1, 3], [3, 3], [24, 2]], 1/5971968], [[[1, 3], [3, 3], [30, 2]], 1/27993600], [[[1, 3], [3, 3], [40, 1]], 1/622080], [[[1, 3], [3, 3], [48, 1]], 1/746496], [[[1, 3], [3, 3], [60, 1]], 1/933120], [[[1, 3], [3, 5], [4, 6]], 1/8255648563200], [[[1, 3], [3, 5], [5, 3]], 1/11197440000], [[[1, 3], [3, 5], [6, 6]], 81821/41794220851200], [[[1, 3], [3, 5], [9, 2]], 7/604661760], [[[1, 3], [3, 5], [12, 3]], 281/12899450880], [[[1, 3], [3, 7], [4, 4]], 1/111451255603200], [[[1, 3], [3, 7], [5, 2]], 1/1451188224000], [[[1, 3], [3, 7], [6, 4]], 82621/376147987660800], [[[1, 3], [3, 7], [8, 2]], 1/464380231680], [[[1, 3], [3, 7], [10, 2]], 1/1451188224000], [[[1, 3], [3, 7], [12, 2]], 65/139314069504], [[[1, 3], [3, 7], [15, 1]], 1/72559411200], [[[1, 3], [3, 7], [20, 1]], 1/48372940800], [[[1, 3], [3, 7], [24, 1]], 1/58047528960], [[[1, 3], [3, 7], [30, 1]], 1/72559411200], [[[1, 3], [3, 8], [7, 1]], 1/2708884684800], [[[1, 3], [3, 8], [9, 1]], 1/128994508800], [[[1, 3], [3, 9], [4, 2]], 1/55725627801600], [[[1, 3], [3, 9], [5, 1]], 1/5804752896000], [[[1, 3], [3, 9], [6, 2]], 7/27862813900800], [[[1, 3], [3, 9], [12, 1]], 7/4643802316800], [[[1, 3], [4, 1], [8, 5]], 1/10485760], [[[1, 3], [4, 5], [8, 3]], 241/2264924160], [[[1, 3], [4, 8], [7, 1]], 17/998831554560], [[[1, 3], [4, 8], [9, 1]], 17/3852635996160], [[[1, 3], [4, 9], [8, 1]], 17/4566087106560], [[[1, 3], [5, 4], [7, 1]], 1/40320000], [[[1, 3], [5, 4], [9, 1]], 1/155520000], [[[1, 3], [6, 8], [7, 1]], 1/2708884684800], [[[1, 3], [6, 8], [9, 1]], 1/10448555212800], [[[1, 3], [7, 1], [8, 4]], 1/2293760], [[[1, 3], [7, 1], [10, 4]], 1/40320000], [[[1, 3], [7, 1], [12, 4]], 23/139345920], [[[1, 3], [7, 1], [15, 2]], 1/100800], [[[1, 3], [7, 1], [16, 2]], 1/21504], [[[1, 3], [7, 1], [20, 2]], 1/26880], [[[1, 3], [7, 1], [24, 2]], 1/21504], [[[1, 3], [7, 1], [30, 2]], 1/100800], [[[1, 3], [7, 1], [40, 1]], 1/2240], [[[1, 3], [7, 1], [48, 1]], 1/2688], [[[1, 3], [7, 1], [60, 1]], 1/3360], [[[1, 3], [8, 4], [9, 1]], 1/8847360], [[[1, 3], [9, 1], [10, 4]], 1/155520000], [[[1, 3], [9, 1], [12, 4]], 23/537477120], [[[1, 3], [9, 1], [15, 2]], 1/388800], [[[1, 3], [9, 1], [16, 2]], 1/82944], [[[1, 3], [9, 1], [20, 2]], 1/103680], [[[1, 3], [9, 1], [24, 2]], 1/82944], [[[1, 3], [9, 1], [30, 2]], 1/388800], [[[1, 3], [9, 1], [40, 1]], 1/8640], [[[1, 3], [9, 1], [48, 1]], 1/10368], [[[1, 3], [9, 1], [60, 1]], 1/12960], [[[1, 4], [2, 1], [3, 10]], 161/752295975321600], [[[1, 4], [2, 1], [4, 10]], 221/657516543344640], [[[1, 4], [2, 1], [5, 5]], 11/1728000000], [[[1, 4], [2, 1], [8, 5]], 1/31457280], [[[1, 4], [2, 3], [3, 9]], 6089/334353766809600], [[[1, 4], [2, 3], [4, 9]], 458093/164379135836160], [[[1, 4], [2, 3], [6, 9]], 677/74300837068800], [[[1, 4], [2, 3], [7, 3]], 1/65856], [[[1, 4], [2, 3], [9, 3]], 1/279936], [[[1, 4], [2, 3], [14, 3]], 1/263424], [[[1, 4], [2, 3], [18, 3]], 1/559872], [[[1, 4], [2, 5], [3, 8]], 1076923/7132880358604800], [[[1, 4], [2, 5], [4, 8]], 285388133/7890198520135680], [[[1, 4], [2, 5], [5, 4]], 4157/63700992000], [[[1, 4], [2, 5], [6, 8]], 2501563/7132880358604800], [[[1, 4], [2, 5], [8, 4]], 9329/18119393280], [[[1, 4], [2, 5], [10, 4]], 48433/318504960000], [[[1, 4], [2, 5], [12, 4]], 1127/1100753141760], [[[1, 4], [2, 5], [15, 2]], 49/796262400], [[[1, 4], [2, 5], [16, 2]], 49/169869312], [[[1, 4], [2, 5], [20, 2]], 49/212336640], [[[1, 4], [2, 5], [24, 2]], 49/169869312], [[[1, 4], [2, 5], [30, 2]], 49/796262400], [[[1, 4], [2, 5], [40, 1]], 49/17694720], [[[1, 4], [2, 5], [48, 1]], 49/21233664], [[[1, 4], [2, 5], [60, 1]], 49/26542080], [[[1, 4], [2, 7], [3, 7]], 12419/1755357275750400], [[[1, 4], [2, 7], [4, 7]], 4485499/273965226393600], [[[1, 4], [2, 7], [6, 7]], 3006473/891610044825600], [[[1, 4], [2, 9], [3, 6]], 522451/1685142984720384000], [[[1, 4], [2, 9], [4, 6]], 7679874613/1183529778020352000], [[[1, 4], [2, 9], [5, 3]], 59711/1003290624000000], [[[1, 4], [2, 9], [6, 6]], 60980783/6241270313779200], [[[1, 4], [2, 9], [7, 2]], 1381/728314675200], [[[1, 4], [2, 9], [8, 3]], 2937901/102736959897600], [[[1, 4], [2, 9], [9, 2]], 35827/32506616217600], [[[1, 4], [2, 9], [10, 3]], 762101/2229534720000], [[[1, 4], [2, 9], [14, 2]], 8047/72831467520], [[[1, 4], [2, 9], [18, 2]], 4877/361184624640], [[[1, 4], [2, 11], [3, 5]], 30173/249650812551168000], [[[1, 4], [2, 11], [4, 5]], 243388639/295882444505088000], [[[1, 4], [2, 11], [6, 5]], 1890561049/499301625102336000], [[[1, 4], [2, 13], [3, 4]], 467261/47932956009824256000], [[[1, 4], [2, 13], [4, 4]], 150740263/2028908190892032000], [[[1, 4], [2, 13], [5, 2]], 14269/184926527815680000], [[[1, 4], [2, 13], [6, 4]], 5283609407/15977652003274752000], [[[1, 4], [2, 13], [8, 2]], 781213/59176488901017600], [[[1, 4], [2, 13], [10, 2]], 70482109/184926527815680000], [[[1, 4], [2, 13], [12, 2]], 3901/88764733351526400], [[[1, 4], [2, 13], [15, 1]], 3901/9246326390784000], [[[1, 4], [2, 13], [20, 1]], 3901/6164217593856000], [[[1, 4], [2, 13], [24, 1]], 3901/7397061112627200], [[[1, 4], [2, 13], [30, 1]], 3901/9246326390784000], [[[1, 4], [2, 15], [3, 3]], 8833/15728001190723584000], [[[1, 4], [2, 15], [4, 3]], 2731313/1380784741023744000], [[[1, 4], [2, 15], [6, 3]], 218544203/27960891005730816000], [[[1, 4], [2, 15], [7, 1]], 4279/226534996574208000], [[[1, 4], [2, 15], [9, 1]], 3163/218444460982272000], [[[1, 4], [2, 15], [14, 1]], 142117/302046662098944000], [[[1, 4], [2, 15], [18, 1]], 153281/1165037125238784000], [[[1, 4], [2, 17], [3, 2]], 239047/5032960381031546880000], [[[1, 4], [2, 17], [4, 2]], 544635913/35789940487335444480000], [[[1, 4], [2, 17], [5, 1]], 335411/2330074250477568000000], [[[1, 4], [2, 17], [6, 2]], 1509257/27960891005730816000], [[[1, 4], [2, 17], [8, 1]], 1138201/745623760152821760000], [[[1, 4], [2, 17], [10, 1]], 12947/862990463139840000], [[[1, 4], [2, 19], [3, 1]], 4183/2236871280458465280000], [[[1, 4], [2, 19], [4, 1]], 439213/8947485121833861120000], [[[1, 4], [2, 19], [6, 1]], 495347/4473742560916930560000], [[[1, 5], [2, 2], [3, 9]], 60851/5015306502144000], [[[1, 5], [2, 2], [4, 9]], 22457/547930452787200], [[[1, 5], [2, 2], [6, 9]], 1/668707533619200], [[[1, 5], [2, 2], [7, 3]], 1/43904], [[[1, 5], [2, 2], [9, 3]], 1/419904], [[[1, 5], [2, 4], [3, 8]], 2501563/7132880358604800], [[[1, 5], [2, 4], [4, 8]], 285388133/7890198520135680], [[[1, 5], [2, 4], [5, 4]], 48433/318504960000], [[[1, 5], [2, 4], [6, 8]], 1076923/7132880358604800], [[[1, 5], [2, 4], [8, 4]], 9329/18119393280], [[[1, 5], [2, 4], [10, 4]], 4157/63700992000], [[[1, 5], [2, 4], [12, 4]], 1127/1100753141760], [[[1, 5], [2, 4], [15, 2]], 49/796262400], [[[1, 5], [2, 4], [16, 2]], 49/169869312], [[[1, 5], [2, 4], [20, 2]], 49/212336640], [[[1, 5], [2, 4], [24, 2]], 49/169869312], [[[1, 5], [2, 4], [30, 2]], 49/796262400], [[[1, 5], [2, 4], [40, 1]], 49/17694720], [[[1, 5], [2, 4], [48, 1]], 49/21233664], [[[1, 5], [2, 4], [60, 1]], 49/26542080], [[[1, 5], [2, 6], [3, 7]], 1122347/891610044825600], [[[1, 5], [2, 6], [4, 7]], 52177811/234827336908800], [[[1, 5], [2, 6], [6, 7]], 146611/44580502241280], [[[1, 5], [2, 8], [3, 6]], 169884133/1685142984720384000], [[[1, 5], [2, 8], [4, 6]], 12402521143/169075682574336000], [[[1, 5], [2, 8], [5, 3]], 662821/1003290624000000], [[[1, 5], [2, 8], [6, 6]], 13941151/891610044825600], [[[1, 5], [2, 8], [7, 2]], 49501/2184944025600], [[[1, 5], [2, 8], [8, 3]], 784711/3424565329920], [[[1, 5], [2, 8], [9, 2]], 397741/32506616217600], [[[1, 5], [2, 8], [10, 3]], 36781/63700992000], [[[1, 5], [2, 8], [14, 2]], 89/385351680], [[[1, 5], [2, 8], [18, 2]], 2309/51597803520], [[[1, 5], [2, 10], [3, 5]], 22259567/3744762188267520000], [[[1, 5], [2, 10], [4, 5]], 3798763757/328758271672320000], [[[1, 5], [2, 10], [6, 5]], 5370636037/499301625102336000], [[[1, 5], [2, 12], [3, 4]], 35793077/47932956009824256000], [[[1, 5], [2, 12], [4, 4]], 2050858831/2028908190892032000], [[[1, 5], [2, 12], [5, 2]], 1321909/184926527815680000], [[[1, 5], [2, 12], [6, 4]], 26462112359/15977652003274752000], [[[1, 5], [2, 12], [8, 2]], 13583509/59176488901017600], [[[1, 5], [2, 12], [10, 2]], 18146557/7397061112627200], [[[1, 5], [2, 12], [12, 2]], 7651/12680676193075200], [[[1, 5], [2, 12], [15, 1]], 7651/1320903770112000], [[[1, 5], [2, 12], [20, 1]], 7651/880602513408000], [[[1, 5], [2, 12], [24, 1]], 7651/1056723016089600], [[[1, 5], [2, 12], [30, 1]], 7651/1320903770112000], [[[1, 5], [2, 14], [3, 3]], 4457267/83882673017192448000], [[[1, 5], [2, 14], [4, 3]], 7271531/169075682574336000], [[[1, 5], [2, 14], [6, 3]], 166193/2465687037542400], [[[1, 5], [2, 14], [7, 1]], 142117/302046662098944000], [[[1, 5], [2, 14], [9, 1]], 415187/1165037125238784000], [[[1, 5], [2, 14], [14, 1]], 28729/4314952315699200], [[[1, 5], [2, 14], [18, 1]], 3263/1664338750341120], [[[1, 5], [2, 16], [3, 2]], 14657281/5032960381031546880000], [[[1, 5], [2, 16], [4, 2]], 15158878621/35789940487335444480000], [[[1, 5], [2, 16], [5, 1]], 15293641/2330074250477568000000], [[[1, 5], [2, 16], [6, 2]], 21562799/27960891005730816000], [[[1, 5], [2, 16], [8, 1]], 510451/12427062669213696000], [[[1, 5], [2, 16], [10, 1]], 132943/517794277883904000], [[[1, 5], [2, 18], [3, 1]], 3181517/33553069206876979200000], [[[1, 5], [2, 18], [4, 1]], 46082321/29824950406112870400000], [[[1, 5], [2, 18], [6, 1]], 11151407/4473742560916930560000], [[[1, 5], [3, 1], [9, 3]], 1/2519424], [[[1, 5], [3, 2], [4, 8]], 1529/92463263907840], [[[1, 5], [3, 2], [5, 4]], 433/3732480000], [[[1, 5], [3, 2], [6, 8]], 541/250765325107200], [[[1, 5], [3, 2], [8, 4]], 1/212336640], [[[1, 5], [3, 2], [10, 4]], 1/3732480000], [[[1, 5], [3, 2], [12, 4]], 563/12899450880], [[[1, 5], [3, 2], [15, 2]], 1/9331200], [[[1, 5], [3, 2], [16, 2]], 1/1990656], [[[1, 5], [3, 2], [20, 2]], 1/2488320], [[[1, 5], [3, 2], [24, 2]], 1/1990656], [[[1, 5], [3, 2], [30, 2]], 1/9331200], [[[1, 5], [3, 2], [40, 1]], 1/207360], [[[1, 5], [3, 2], [48, 1]], 1/248832], [[[1, 5], [3, 2], [60, 1]], 1/311040], [[[1, 5], [3, 4], [4, 6]], 641/264180754022400], [[[1, 5], [3, 4], [5, 3]], 401/223948800000], [[[1, 5], [3, 4], [6, 6]], 163/835884417024], [[[1, 5], [3, 4], [7, 2]], 1/487710720], [[[1, 5], [3, 4], [9, 2]], 155627/2418647040], [[[1, 5], [3, 4], [12, 3]], 59/1289945088], [[[1, 5], [3, 6], [4, 4]], 553/111451255603200], [[[1, 5], [3, 6], [5, 2]], 661/1451188224000], [[[1, 5], [3, 6], [6, 4]], 262453/376147987660800], [[[1, 5], [3, 6], [8, 2]], 13/464380231680], [[[1, 5], [3, 6], [10, 2]], 13/1451188224000], [[[1, 5], [3, 6], [12, 2]], 1957/696570347520], [[[1, 5], [3, 6], [15, 1]], 13/72559411200], [[[1, 5], [3, 6], [20, 1]], 13/48372940800], [[[1, 5], [3, 6], [24, 1]], 13/58047528960], [[[1, 5], [3, 6], [30, 1]], 13/72559411200], [[[1, 5], [3, 7], [7, 1]], 1/67722117120], [[[1, 5], [3, 7], [9, 1]], 1/9674588160], [[[1, 5], [3, 8], [4, 2]], 427/594406696550400], [[[1, 5], [3, 8], [5, 1]], 89/12899450880000], [[[1, 5], [3, 8], [6, 2]], 1/278628139008], [[[1, 5], [3, 8], [12, 1]], 1/46438023168], [[[1, 5], [4, 2], [5, 4]], 1/26542080000], [[[1, 5], [4, 2], [6, 8]], 1/1783220089651200], [[[1, 5], [4, 2], [8, 4]], 121/1509949440], [[[1, 5], [4, 2], [10, 4]], 1/26542080000], [[[1, 5], [4, 2], [12, 4]], 23/91729428480], [[[1, 5], [4, 2], [15, 2]], 1/66355200], [[[1, 5], [4, 2], [16, 2]], 1/14155776], [[[1, 5], [4, 2], [20, 2]], 1/17694720], [[[1, 5], [4, 2], [24, 2]], 1/14155776], [[[1, 5], [4, 2], [30, 2]], 1/66355200], [[[1, 5], [4, 2], [40, 1]], 1/1474560], [[[1, 5], [4, 2], [48, 1]], 1/1769472], [[[1, 5], [4, 2], [60, 1]], 1/2211840], [[[1, 5], [4, 4], [5, 3]], 1/66355200000], [[[1, 5], [4, 4], [7, 2]], 1/144506880], [[[1, 5], [4, 4], [9, 2]], 1/2149908480], [[[1, 5], [4, 4], [12, 3]], 7/2293235712], [[[1, 5], [4, 4], [28, 1]], 1/2064384], [[[1, 5], [4, 4], [36, 1]], 1/7962624], [[[1, 5], [4, 6], [5, 2]], 1/1019215872000], [[[1, 5], [4, 6], [6, 4]], 1/264180754022400], [[[1, 5], [4, 6], [8, 2]], 349/326149079040], [[[1, 5], [4, 6], [10, 2]], 1/1019215872000], [[[1, 5], [4, 6], [12, 2]], 3841/489223618560], [[[1, 5], [4, 6], [15, 1]], 1/50960793600], [[[1, 5], [4, 6], [20, 1]], 77/6794772480], [[[1, 5], [4, 6], [24, 1]], 1/40768634880], [[[1, 5], [4, 6], [30, 1]], 1/50960793600], [[[1, 5], [4, 8], [5, 1]], 17/42807066624000], [[[1, 5], [4, 8], [12, 1]], 19/366917713920], [[[1, 5], [5, 1], [6, 8]], 1/116095057920000], [[[1, 5], [5, 1], [8, 4]], 1/98304000], [[[1, 5], [5, 1], [10, 4]], 1/1728000000], [[[1, 5], [5, 1], [12, 4]], 23/5971968000], [[[1, 5], [5, 1], [15, 2]], 1/4320000], [[[1, 5], [5, 1], [16, 2]], 1/921600], [[[1, 5], [5, 1], [20, 2]], 1/1152000], [[[1, 5], [5, 1], [24, 2]], 1/921600], [[[1, 5], [5, 1], [30, 2]], 1/4320000], [[[1, 5], [5, 1], [40, 1]], 1/96000], [[[1, 5], [5, 1], [48, 1]], 1/115200], [[[1, 5], [5, 1], [60, 1]], 1/144000], [[[1, 5], [5, 2], [7, 2]], 1/1881600], [[[1, 5], [5, 2], [9, 2]], 1/27993600], [[[1, 5], [5, 3], [6, 4]], 1/223948800000], [[[1, 5], [5, 3], [8, 2]], 1/276480000], [[[1, 5], [5, 3], [10, 2]], 301/864000000], [[[1, 5], [5, 3], [12, 2]], 1/414720000], [[[1, 5], [5, 3], [15, 1]], 1/43200000], [[[1, 5], [5, 3], [20, 1]], 1/28800000], [[[1, 5], [5, 3], [24, 1]], 1/34560000], [[[1, 5], [5, 3], [30, 1]], 1/43200000], [[[1, 5], [6, 4], [7, 2]], 1/487710720], [[[1, 5], [6, 4], [9, 2]], 1/7255941120], [[[1, 5], [7, 2], [8, 2]], 1/602112], [[[1, 5], [7, 2], [10, 2]], 1/1881600], [[[1, 5], [7, 2], [12, 2]], 1/903168], [[[1, 5], [7, 2], [15, 1]], 1/94080], [[[1, 5], [7, 2], [20, 1]], 1/62720], [[[1, 5], [7, 2], [24, 1]], 1/75264], [[[1, 5], [7, 2], [30, 1]], 1/94080], [[[1, 5], [8, 2], [9, 2]], 1/8957952], [[[1, 5], [9, 2], [10, 2]], 1/27993600], [[[1, 5], [9, 2], [12, 2]], 1/13436928], [[[1, 5], [9, 2], [15, 1]], 1/1399680], [[[1, 5], [9, 2], [20, 1]], 1/933120], [[[1, 5], [9, 2], [24, 1]], 1/1119744], [[[1, 5], [9, 2], [30, 1]], 1/1399680], [[[1, 6], [2, 1], [3, 9]], 304111/90275517038592000], [[[1, 6], [2, 1], [4, 9]], 1717/547930452787200], [[[1, 6], [2, 1], [7, 3]], 1/65856], [[[1, 6], [2, 1], [9, 3]], 5/7558272], [[[1, 6], [2, 3], [3, 8]], 1780057/5944066965504000], [[[1, 6], [2, 3], [4, 8]], 9229687/6575165433446400], [[[1, 6], [2, 3], [5, 4]], 6607/53084160000], [[[1, 6], [2, 3], [6, 8]], 3211/17832200896512000], [[[1, 6], [2, 3], [8, 4]], 5233/45298483200], [[[1, 6], [2, 3], [10, 4]], 11/265420800000], [[[1, 6], [2, 3], [12, 4]], 253/917294284800], [[[1, 6], [2, 3], [15, 2]], 11/663552000], [[[1, 6], [2, 3], [16, 2]], 11/141557760], [[[1, 6], [2, 3], [20, 2]], 11/176947200], [[[1, 6], [2, 3], [24, 2]], 11/141557760], [[[1, 6], [2, 3], [30, 2]], 11/663552000], [[[1, 6], [2, 3], [40, 1]], 11/14745600], [[[1, 6], [2, 3], [48, 1]], 11/17694720], [[[1, 6], [2, 3], [60, 1]], 11/22118400], [[[1, 6], [2, 5], [3, 7]], 146611/44580502241280], [[[1, 6], [2, 5], [4, 7]], 52177811/234827336908800], [[[1, 6], [2, 5], [6, 7]], 1122347/891610044825600], [[[1, 6], [2, 7], [3, 6]], 273211963/56171432824012800], [[[1, 6], [2, 7], [4, 6]], 58376511091/98627481501696000], [[[1, 6], [2, 7], [5, 3]], 1106873/6688604160000], [[[1, 6], [2, 7], [6, 6]], 12063659/891610044825600], [[[1, 6], [2, 7], [7, 2]], 8047/72831467520], [[[1, 6], [2, 7], [8, 3]], 129221/163074539520], [[[1, 6], [2, 7], [9, 2]], 54751/1083553873920], [[[1, 6], [2, 7], [10, 3]], 783791/1592524800000], [[[1, 6], [2, 7], [14, 2]], 89/385351680], [[[1, 6], [2, 7], [18, 2]], 1247/17199267840], [[[1, 6], [2, 9], [3, 5]], 35820816307/67405719388815360000], [[[1, 6], [2, 9], [4, 5]], 38357329057/328758271672320000], [[[1, 6], [2, 9], [6, 5]], 2262260647/124825406275584000], [[[1, 6], [2, 11], [3, 4]], 524483447/13314710002728960000], [[[1, 6], [2, 11], [4, 4]], 5352261661/563585608581120000], [[[1, 6], [2, 11], [5, 2]], 11814391/51368479948800000], [[[1, 6], [2, 11], [6, 4]], 202527418661/39944130008186880000], [[[1, 6], [2, 11], [8, 2]], 11160869/5479304527872000], [[[1, 6], [2, 11], [10, 2]], 467899511/51368479948800000], [[[1, 6], [2, 11], [12, 2]], 116087/24656870375424000], [[[1, 6], [2, 11], [15, 1]], 116087/2568423997440000], [[[1, 6], [2, 11], [20, 1]], 116087/1712282664960000], [[[1, 6], [2, 11], [24, 1]], 116087/2054739197952000], [[[1, 6], [2, 11], [30, 1]], 116087/2568423997440000], [[[1, 6], [2, 13], [3, 3]], 1368847/599161950122803200], [[[1, 6], [2, 13], [4, 3]], 591500597/1183529778020352000], [[[1, 6], [2, 13], [6, 3]], 1443119987/3994413000818688000], [[[1, 6], [2, 13], [7, 1]], 28729/4314952315699200], [[[1, 6], [2, 13], [9, 1]], 41143/8321693751705600], [[[1, 6], [2, 13], [14, 1]], 2357351/43149523156992000], [[[1, 6], [2, 13], [18, 1]], 964307/55477958344704000], [[[1, 6], [2, 15], [3, 2]], 8172091/83882673017192448000], [[[1, 6], [2, 15], [4, 2]], 9945489391/1491247520305643520000], [[[1, 6], [2, 15], [5, 1]], 1262381/7766914168258560000], [[[1, 6], [2, 15], [6, 2]], 1114901/159776520032747520], [[[1, 6], [2, 15], [8, 1]], 2699287/4142354223071232000], [[[1, 6], [2, 15], [10, 1]], 5059991/1849265278156800000], [[[1, 6], [2, 17], [3, 1]], 1654506577/603955245723785625600000], [[[1, 6], [2, 17], [4, 1]], 893014141/29824950406112870400000], [[[1, 6], [2, 17], [6, 1]], 20332177/559217820114616320000], [[[1, 7], [2, 2], [3, 8]], 9109039/74895243765350400], [[[1, 7], [2, 2], [4, 8]], 8961089/82847084461424640], [[[1, 7], [2, 2], [5, 4]], 29033/668860416000], [[[1, 7], [2, 2], [6, 8]], 13/224685731296051200], [[[1, 7], [2, 2], [8, 4]], 1693/190253629440], [[[1, 7], [2, 2], [10, 4]], 13/3344302080000], [[[1, 7], [2, 2], [12, 4]], 299/11557907988480], [[[1, 7], [2, 2], [15, 2]], 13/8360755200], [[[1, 7], [2, 2], [16, 2]], 13/1783627776], [[[1, 7], [2, 2], [20, 2]], 13/2229534720], [[[1, 7], [2, 2], [24, 2]], 13/1783627776], [[[1, 7], [2, 2], [30, 2]], 13/8360755200], [[[1, 7], [2, 2], [40, 1]], 13/185794560], [[[1, 7], [2, 2], [48, 1]], 13/222953472], [[[1, 7], [2, 2], [60, 1]], 13/278691840], [[[1, 7], [2, 4], [3, 7]], 3006473/891610044825600], [[[1, 7], [2, 4], [4, 7]], 4485499/273965226393600], [[[1, 7], [2, 4], [6, 7]], 12419/1755357275750400], [[[1, 7], [2, 6], [3, 6]], 12063659/891610044825600], [[[1, 7], [2, 6], [4, 6]], 58376511091/98627481501696000], [[[1, 7], [2, 6], [5, 3]], 783791/1592524800000], [[[1, 7], [2, 6], [6, 6]], 273211963/56171432824012800], [[[1, 7], [2, 6], [7, 2]], 89/385351680], [[[1, 7], [2, 6], [8, 3]], 129221/163074539520], [[[1, 7], [2, 6], [9, 2]], 1247/17199267840], [[[1, 7], [2, 6], [10, 3]], 1106873/6688604160000], [[[1, 7], [2, 6], [14, 2]], 8047/72831467520], [[[1, 7], [2, 6], [18, 2]], 54751/1083553873920], [[[1, 7], [2, 8], [3, 5]], 459814536271/67405719388815360000], [[[1, 7], [2, 8], [4, 5]], 8174170213/16437913583616000], [[[1, 7], [2, 8], [6, 5]], 2686676789/160489808068608000], [[[1, 7], [2, 10], [3, 4]], 351002150267/503296038103154688000], [[[1, 7], [2, 10], [4, 4]], 8804242616287/149124752030564352000], [[[1, 7], [2, 10], [5, 2]], 1023861311/388345708412928000], [[[1, 7], [2, 10], [6, 4]], 187395251699/20131841524126187520], [[[1, 7], [2, 10], [8, 2]], 6015848467/621353133460684800], [[[1, 7], [2, 10], [10, 2]], 7412508863/388345708412928000], [[[1, 7], [2, 10], [12, 2]], 3805631/186405940038205440], [[[1, 7], [2, 10], [15, 1]], 3805631/19417285420646400], [[[1, 7], [2, 10], [20, 1]], 3805631/12944856947097600], [[[1, 7], [2, 10], [24, 1]], 3805631/15533828336517120], [[[1, 7], [2, 10], [30, 1]], 3805631/19417285420646400], [[[1, 7], [2, 12], [3, 3]], 518860739/11983239002456064000], [[[1, 7], [2, 12], [4, 3]], 1973625323/591764889010176000], [[[1, 7], [2, 12], [6, 3]], 19003601353/15728001190723584000], [[[1, 7], [2, 12], [7, 1]], 2357351/43149523156992000], [[[1, 7], [2, 12], [9, 1]], 6536483/166433875034112000], [[[1, 7], [2, 12], [14, 1]], 58540609/226534996574208000], [[[1, 7], [2, 12], [18, 1]], 20120263/218444460982272000], [[[1, 7], [2, 14], [3, 2]], 50077583/27960891005730816000], [[[1, 7], [2, 14], [4, 2]], 92540752711/1491247520305643520000], [[[1, 7], [2, 14], [5, 1]], 29488357/12944856947097600000], [[[1, 7], [2, 14], [6, 2]], 10186327429/251648019051577344000], [[[1, 7], [2, 14], [8, 1]], 3715781/591764889010176000], [[[1, 7], [2, 14], [10, 1]], 142688537/7766914168258560000], [[[1, 7], [2, 16], [3, 1]], 28726696141/603955245723785625600000], [[[1, 7], [2, 16], [4, 1]], 30443041/82847084461424640000], [[[1, 7], [2, 16], [6, 1]], 1755137333/5032960381031546880000], [[[1, 7], [3, 1], [4, 8]], 11357/11095591668940800], [[[1, 7], [3, 1], [5, 4]], 1037/89579520000], [[[1, 7], [3, 1], [6, 8]], 1/30091839012864000], [[[1, 7], [3, 1], [8, 4]], 1/25480396800], [[[1, 7], [3, 1], [10, 4]], 1/447897600000], [[[1, 7], [3, 1], [12, 4]], 23/1547934105600], [[[1, 7], [3, 1], [15, 2]], 1/1119744000], [[[1, 7], [3, 1], [16, 2]], 1/238878720], [[[1, 7], [3, 1], [20, 2]], 1/298598400], [[[1, 7], [3, 1], [24, 2]], 1/238878720], [[[1, 7], [3, 1], [30, 2]], 1/1119744000], [[[1, 7], [3, 1], [40, 1]], 1/24883200], [[[1, 7], [3, 1], [48, 1]], 1/29859840], [[[1, 7], [3, 1], [60, 1]], 1/37324800], [[[1, 7], [3, 3], [4, 6]], 5857/13209037701120], [[[1, 7], [3, 3], [5, 3]], 4381/11197440000], [[[1, 7], [3, 3], [6, 6]], 21841/167176883404800], [[[1, 7], [3, 3], [7, 2]], 1/24385536], [[[1, 7], [3, 3], [9, 2]], 131/3627970560], [[[1, 7], [3, 3], [12, 3]], 1681/51597803520], [[[1, 7], [3, 5], [4, 4]], 435751/4458050224128000], [[[1, 7], [3, 5], [5, 2]], 523393/58047528960000], [[[1, 7], [3, 5], [6, 4]], 2676211/15045919506432000], [[[1, 7], [3, 5], [8, 2]], 2401/18575209267200], [[[1, 7], [3, 5], [10, 2]], 2401/58047528960000], [[[1, 7], [3, 5], [12, 2]], 175471/27862813900800], [[[1, 7], [3, 5], [15, 1]], 2401/2902376448000], [[[1, 7], [3, 5], [20, 1]], 2401/1934917632000], [[[1, 7], [3, 5], [24, 1]], 2401/2321901158400], [[[1, 7], [3, 5], [30, 1]], 2401/2902376448000], [[[1, 7], [3, 6], [7, 1]], 13/67722117120], [[[1, 7], [3, 6], [9, 1]], 934007/1741425868800], [[[1, 7], [3, 7], [4, 2]], 139/14860167413760], [[[1, 7], [3, 7], [5, 1]], 29/322486272000], [[[1, 7], [3, 7], [6, 2]], 1147/55725627801600], [[[1, 7], [3, 7], [12, 1]], 1147/9287604633600], [[[1, 7], [4, 3], [8, 3]], 37/905969664], [[[1, 7], [4, 6], [7, 1]], 1/47563407360], [[[1, 7], [4, 6], [9, 1]], 1/183458856960], [[[1, 7], [4, 7], [8, 1]], 1/217432719360], [[[1, 7], [5, 3], [7, 1]], 1/40320000], [[[1, 7], [5, 3], [9, 1]], 1/155520000], [[[1, 7], [7, 1], [9, 2]], 1/1306368], [[[1, 7], [7, 2], [9, 1]], 1/338688], [[[1, 8], [2, 1], [3, 8]], 5911773907/22468573129605120000], [[[1, 8], [2, 1], [4, 8]], 9924557/24854125338427392000], [[[1, 8], [2, 1], [5, 4]], 1219301/200658124800000], [[[1, 8], [2, 1], [6, 8]], 121/67405719388815360000], [[[1, 8], [2, 1], [8, 4]], 121/57076088832000], [[[1, 8], [2, 1], [10, 4]], 121/1003290624000000], [[[1, 8], [2, 1], [12, 4]], 2783/3467372396544000], [[[1, 8], [2, 1], [15, 2]], 121/2508226560000], [[[1, 8], [2, 1], [16, 2]], 121/535088332800], [[[1, 8], [2, 1], [20, 2]], 121/668860416000], [[[1, 8], [2, 1], [24, 2]], 121/535088332800], [[[1, 8], [2, 1], [30, 2]], 121/2508226560000], [[[1, 8], [2, 1], [40, 1]], 121/55738368000], [[[1, 8], [2, 1], [48, 1]], 121/66886041600], [[[1, 8], [2, 1], [60, 1]], 121/83607552000], [[[1, 8], [2, 3], [3, 7]], 692093/390079394611200], [[[1, 8], [2, 3], [4, 7]], 23172137/17259809262796800], [[[1, 8], [2, 3], [6, 7]], 11821/1685142984720384000], [[[1, 8], [2, 5], [3, 6]], 13941151/891610044825600], [[[1, 8], [2, 5], [4, 6]], 12402521143/169075682574336000], [[[1, 8], [2, 5], [5, 3]], 36781/63700992000], [[[1, 8], [2, 5], [6, 6]], 169884133/1685142984720384000], [[[1, 8], [2, 5], [7, 2]], 89/385351680], [[[1, 8], [2, 5], [8, 3]], 784711/3424565329920], [[[1, 8], [2, 5], [9, 2]], 2309/51597803520], [[[1, 8], [2, 5], [10, 3]], 662821/1003290624000000], [[[1, 8], [2, 5], [14, 2]], 49501/2184944025600], [[[1, 8], [2, 5], [18, 2]], 397741/32506616217600], [[[1, 8], [2, 7], [3, 5]], 2686676789/160489808068608000], [[[1, 8], [2, 7], [4, 5]], 8174170213/16437913583616000], [[[1, 8], [2, 7], [6, 5]], 459814536271/67405719388815360000], [[[1, 8], [2, 9], [3, 4]], 693617200354571/150988811430946406400000], [[[1, 8], [2, 9], [4, 4]], 7960629401114071/44737425609169305600000], [[[1, 8], [2, 9], [5, 2]], 6938649431563/582518562619392000000], [[[1, 8], [2, 9], [6, 4]], 1439779224783371/150988811430946406400000], [[[1, 8], [2, 9], [8, 2]], 4320853650571/186405940038205440000], [[[1, 8], [2, 9], [10, 2]], 12571287306763/582518562619392000000], [[[1, 8], [2, 9], [12, 2]], 13132386571/279608910057308160000], [[[1, 8], [2, 9], [15, 1]], 13132386571/29125928130969600000], [[[1, 8], [2, 9], [20, 1]], 13132386571/19417285420646400000], [[[1, 8], [2, 9], [24, 1]], 13132386571/23300742504775680000], [[[1, 8], [2, 9], [30, 1]], 13132386571/29125928130969600000], [[[1, 8], [2, 11], [3, 3]], 128021839/327666691473408000], [[[1, 8], [2, 11], [4, 3]], 34746788383/2485412533842739200], [[[1, 8], [2, 11], [6, 3]], 18557009243191/7549440571547320320000], [[[1, 8], [2, 11], [7, 1]], 58540609/226534996574208000], [[[1, 8], [2, 11], [9, 1]], 6403391/36407410163712000], [[[1, 8], [2, 11], [14, 1]], 18840833071/27184199588904960000], [[[1, 8], [2, 11], [18, 1]], 30257726071/104853341271490560000], [[[1, 8], [2, 13], [3, 2]], 221347783/11983239002456064000], [[[1, 8], [2, 13], [4, 2]], 6295991540161/17894970243667722240000], [[[1, 8], [2, 13], [5, 1]], 6808169/369853055631360000], [[[1, 8], [2, 13], [6, 2]], 1129926741901/7549440571547320320000], [[[1, 8], [2, 13], [8, 1]], 459190351/12427062669213696000], [[[1, 8], [2, 13], [10, 1]], 89963250271/1165037125238784000000], [[[1, 8], [2, 15], [3, 1]], 2561259173/5032960381031546880000], [[[1, 8], [2, 15], [4, 1]], 3798887/1315033086689280000], [[[1, 8], [2, 15], [6, 1]], 665725060921/301977622861892812800000], [[[1, 9], [2, 2], [3, 7]], 13688281/26748301344768000], [[[1, 9], [2, 2], [4, 7]], 5225261/207117711153561600], [[[1, 9], [2, 2], [6, 7]], 13/60183678025728000], [[[1, 9], [2, 4], [3, 6]], 60980783/6241270313779200], [[[1, 9], [2, 4], [4, 6]], 7679874613/1183529778020352000], [[[1, 9], [2, 4], [5, 3]], 762101/2229534720000], [[[1, 9], [2, 4], [6, 6]], 522451/1685142984720384000], [[[1, 9], [2, 4], [7, 2]], 8047/72831467520], [[[1, 9], [2, 4], [8, 3]], 2937901/102736959897600], [[[1, 9], [2, 4], [9, 2]], 4877/361184624640], [[[1, 9], [2, 4], [10, 3]], 59711/1003290624000000], [[[1, 9], [2, 4], [14, 2]], 1381/728314675200], [[[1, 9], [2, 4], [18, 2]], 35827/32506616217600], [[[1, 9], [2, 6], [3, 5]], 2262260647/124825406275584000], [[[1, 9], [2, 6], [4, 5]], 38357329057/328758271672320000], [[[1, 9], [2, 6], [6, 5]], 35820816307/67405719388815360000], [[[1, 9], [2, 8], [3, 4]], 1439779224783371/150988811430946406400000], [[[1, 9], [2, 8], [4, 4]], 7960629401114071/44737425609169305600000], [[[1, 9], [2, 8], [5, 2]], 12571287306763/582518562619392000000], [[[1, 9], [2, 8], [6, 4]], 693617200354571/150988811430946406400000], [[[1, 9], [2, 8], [8, 2]], 4320853650571/186405940038205440000], [[[1, 9], [2, 8], [10, 2]], 6938649431563/582518562619392000000], [[[1, 9], [2, 8], [12, 2]], 13132386571/279608910057308160000], [[[1, 9], [2, 8], [15, 1]], 13132386571/29125928130969600000], [[[1, 9], [2, 8], [20, 1]], 13132386571/19417285420646400000], [[[1, 9], [2, 8], [24, 1]], 13132386571/23300742504775680000], [[[1, 9], [2, 8], [30, 1]], 13132386571/29125928130969600000], [[[1, 9], [2, 10], [3, 3]], 4141831748951/2516480190515773440000], [[[1, 9], [2, 10], [4, 3]], 24390344853031/745623760152821760000], [[[1, 9], [2, 10], [6, 3]], 5373718139611/1887360142886830080000], [[[1, 9], [2, 10], [7, 1]], 18840833071/27184199588904960000], [[[1, 9], [2, 10], [9, 1]], 15035202071/34951113757163520000], [[[1, 9], [2, 10], [14, 1]], 13132386571/13592099794452480000], [[[1, 9], [2, 10], [18, 1]], 13132386571/26213335317872640000], [[[1, 9], [2, 12], [3, 2]], 8860894519/83882673017192448000], [[[1, 9], [2, 12], [4, 2]], 22402821197293/17894970243667722240000], [[[1, 9], [2, 12], [5, 1]], 219910373/2588971389419520000], [[[1, 9], [2, 12], [6, 2]], 516963157631/1509888114309464064000], [[[1, 9], [2, 12], [8, 1]], 48699492151/372811880076410880000], [[[1, 9], [2, 12], [10, 1]], 230082949781/1165037125238784000000], [[[1, 9], [2, 14], [3, 1]], 804558373/239664780049121280000], [[[1, 9], [2, 14], [4, 1]], 217655619121/14912475203056435200000], [[[1, 9], [2, 14], [6, 1]], 2745640916077/301977622861892812800000], [[[1, 9], [3, 2], [4, 6]], 2719/66045188505600], [[[1, 9], [3, 2], [5, 3]], 1303/22394880000], [[[1, 9], [3, 2], [6, 6]], 4481/374476218826752000], [[[1, 9], [3, 2], [7, 2]], 1/8128512], [[[1, 9], [3, 2], [9, 2]], 23147/2708884684800], [[[1, 9], [3, 2], [12, 3]], 4481/115579079884800], [[[1, 9], [3, 4], [4, 4]], 2971676051/9986032502046720000], [[[1, 9], [3, 4], [5, 2]], 3608023553/130026464870400000], [[[1, 9], [3, 4], [6, 4]], 4399038611/33702859694407680000], [[[1, 9], [3, 4], [8, 2]], 8108801/41608468758528000], [[[1, 9], [3, 4], [10, 2]], 8108801/130026464870400000], [[[1, 9], [3, 4], [12, 2]], 300832271/62412703137792000], [[[1, 9], [3, 4], [15, 1]], 8108801/6501323243520000], [[[1, 9], [3, 4], [20, 1]], 8108801/4334215495680000], [[[1, 9], [3, 4], [24, 1]], 8108801/5201058594816000], [[[1, 9], [3, 4], [30, 1]], 8108801/6501323243520000], [[[1, 9], [3, 5], [7, 1]], 343/386983526400], [[[1, 9], [3, 5], [9, 1]], 399923/433421549568000], [[[1, 9], [3, 6], [4, 2]], 3223/74300837068800], [[[1, 9], [3, 6], [5, 1]], 809/1934917632000], [[[1, 9], [3, 6], [6, 2]], 6288427/124825406275584000], [[[1, 9], [3, 6], [12, 1]], 6288427/20804234379264000], [[[1, 9], [4, 2], [5, 3]], 1/26542080000], [[[1, 9], [4, 2], [7, 2]], 1/57802752], [[[1, 9], [4, 2], [9, 2]], 1/859963392], [[[1, 9], [4, 2], [12, 3]], 1/12383472844800], [[[1, 9], [4, 2], [28, 1]], 1/78033715200], [[[1, 9], [4, 2], [36, 1]], 1/300987187200], [[[1, 9], [4, 4], [5, 2]], 192403/38526359961600000], [[[1, 9], [4, 4], [6, 4]], 47251/9986032502046720000], [[[1, 9], [4, 4], [8, 2]], 10253491/12328435187712000], [[[1, 9], [4, 4], [10, 2]], 47251/38526359961600000], [[[1, 9], [4, 4], [12, 2]], 51091/18492652781568000], [[[1, 9], [4, 4], [15, 1]], 47251/1926317998080000], [[[1, 9], [4, 4], [20, 1]], 1361/36691771392000], [[[1, 9], [4, 4], [24, 1]], 47251/1541054398464000], [[[1, 9], [4, 4], [30, 1]], 47251/1926317998080000], [[[1, 9], [4, 6], [5, 1]], 1/2038431744000], [[[1, 9], [4, 6], [12, 1]], 141769/13869489586176000], [[[1, 9], [5, 1], [7, 2]], 1/3763200], [[[1, 9], [5, 1], [9, 2]], 1/55987200], [[[1, 9], [5, 2], [6, 4]], 145153/130026464870400000], [[[1, 9], [5, 2], [8, 2]], 145153/160526499840000], [[[1, 9], [5, 2], [10, 2]], 20779/71663616000000], [[[1, 9], [5, 2], [12, 2]], 145153/240789749760000], [[[1, 9], [5, 2], [15, 1]], 145153/25082265600000], [[[1, 9], [5, 2], [20, 1]], 145153/16721510400000], [[[1, 9], [5, 2], [24, 1]], 145153/20065812480000], [[[1, 9], [5, 2], [30, 1]], 145153/25082265600000], [[[1, 9], [6, 2], [12, 3]], 1/115579079884800], [[[1, 9], [6, 2], [18, 2]], 1/8126654054400], [[[1, 9], [6, 4], [8, 2]], 1/41608468758528000], [[[1, 9], [6, 4], [10, 2]], 1/130026464870400000], [[[1, 9], [6, 4], [12, 2]], 271/62412703137792000], [[[1, 9], [6, 4], [15, 1]], 1/6501323243520000], [[[1, 9], [6, 4], [20, 1]], 1/4334215495680000], [[[1, 9], [6, 4], [24, 1]], 1/5201058594816000], [[[1, 9], [6, 4], [30, 1]], 1/6501323243520000], [[[1, 9], [6, 5], [18, 1]], 1/11702381838336000], [[[1, 9], [6, 6], [12, 1]], 1/62412703137792000], [[[1, 9], [8, 2], [10, 2]], 1/160526499840000], [[[1, 9], [8, 2], [12, 2]], 1/77052719923200], [[[1, 9], [8, 2], [15, 1]], 1/8026324992000], [[[1, 9], [8, 2], [20, 1]], 1/5350883328000], [[[1, 9], [8, 2], [24, 1]], 11/2140353331200], [[[1, 9], [8, 2], [30, 1]], 1/8026324992000], [[[1, 9], [10, 2], [12, 2]], 1/240789749760000], [[[1, 9], [10, 2], [15, 1]], 1/25082265600000], [[[1, 9], [10, 2], [20, 1]], 1/16721510400000], [[[1, 9], [10, 2], [24, 1]], 1/20065812480000], [[[1, 9], [10, 2], [30, 1]], 1/25082265600000], [[[1, 9], [12, 1], [36, 1]], 1/150493593600], [[[1, 9], [12, 2], [15, 1]], 1/12039487488000], [[[1, 9], [12, 2], [20, 1]], 1/8026324992000], [[[1, 9], [12, 2], [24, 1]], 13/9631589990400], [[[1, 9], [12, 2], [30, 1]], 1/12039487488000], [[[1, 9], [15, 1], [20, 1]], 1/836075520000], [[[1, 9], [15, 1], [24, 1]], 1/1003290624000], [[[1, 9], [15, 1], [30, 1]], 1/78382080000], [[[1, 9], [20, 1], [24, 1]], 1/668860416000], [[[1, 9], [20, 1], [30, 1]], 1/836075520000], [[[1, 9], [24, 1], [30, 1]], 1/1003290624000], [[[1, 10], [2, 1], [3, 7]], 10856357/140428582060032000], [[[1, 10], [2, 1], [4, 7]], 41281/41423542230712320], [[[1, 10], [2, 1], [6, 7]], 1/561714328240128000], [[[1, 10], [2, 3], [3, 6]], 44900599/12482540627558400], [[[1, 10], [2, 3], [4, 6]], 52892009/197254963003392000], [[[1, 10], [2, 3], [5, 3]], 483131/4459069440000], [[[1, 10], [2, 3], [6, 6]], 949/112342865648025600], [[[1, 10], [2, 3], [7, 2]], 49501/2184944025600], [[[1, 10], [2, 3], [8, 3]], 22261/14676708556800], [[[1, 10], [2, 3], [9, 2]], 2447/1203948748800], [[[1, 10], [2, 3], [10, 3]], 73/40131624960000], [[[1, 10], [2, 3], [14, 2]], 41/728314675200], [[[1, 10], [2, 3], [18, 2]], 73/2167107747840], [[[1, 10], [2, 5], [3, 5]], 5370636037/499301625102336000], [[[1, 10], [2, 5], [4, 5]], 3798763757/328758271672320000], [[[1, 10], [2, 5], [6, 5]], 22259567/3744762188267520000], [[[1, 10], [2, 7], [3, 4]], 187395251699/20131841524126187520], [[[1, 10], [2, 7], [4, 4]], 8804242616287/149124752030564352000], [[[1, 10], [2, 7], [5, 2]], 7412508863/388345708412928000], [[[1, 10], [2, 7], [6, 4]], 351002150267/503296038103154688000], [[[1, 10], [2, 7], [8, 2]], 6015848467/621353133460684800], [[[1, 10], [2, 7], [10, 2]], 1023861311/388345708412928000], [[[1, 10], [2, 7], [12, 2]], 3805631/186405940038205440], [[[1, 10], [2, 7], [15, 1]], 3805631/19417285420646400], [[[1, 10], [2, 7], [20, 1]], 3805631/12944856947097600], [[[1, 10], [2, 7], [24, 1]], 3805631/15533828336517120], [[[1, 10], [2, 7], [30, 1]], 3805631/19417285420646400], [[[1, 10], [2, 9], [3, 3]], 5373718139611/1887360142886830080000], [[[1, 10], [2, 9], [4, 3]], 24390344853031/745623760152821760000], [[[1, 10], [2, 9], [6, 3]], 4141831748951/2516480190515773440000], [[[1, 10], [2, 9], [7, 1]], 13132386571/13592099794452480000], [[[1, 10], [2, 9], [9, 1]], 13132386571/26213335317872640000], [[[1, 10], [2, 9], [14, 1]], 18840833071/27184199588904960000], [[[1, 10], [2, 9], [18, 1]], 15035202071/34951113757163520000], [[[1, 10], [2, 11], [3, 2]], 3547377391/11184356402292326400], [[[1, 10], [2, 11], [4, 2]], 7752536526571/2982495040611287040000], [[[1, 10], [2, 11], [5, 1]], 5675259781/25889713894195200000], [[[1, 10], [2, 11], [6, 2]], 381874732931/838826730171924480000], [[[1, 10], [2, 11], [8, 1]], 97635152497/372811880076410880000], [[[1, 10], [2, 11], [10, 1]], 13360724431/46601485009551360000], [[[1, 10], [2, 13], [3, 1]], 89667540761/6710613841375395840000], [[[1, 10], [2, 13], [4, 1]], 702132427141/14912475203056435200000], [[[1, 10], [2, 13], [6, 1]], 1194336507221/50329603810315468800000], [[[1, 11], [2, 2], [3, 6]], 147046231/187238109413376000], [[[1, 11], [2, 2], [4, 6]], 2963809/197254963003392000], [[[1, 11], [2, 2], [5, 3]], 145193/8026324992000], [[[1, 11], [2, 2], [6, 6]], 13/187238109413376000], [[[1, 11], [2, 2], [7, 2]], 1381/728314675200], [[[1, 11], [2, 2], [8, 3]], 127/102736959897600], [[[1, 11], [2, 2], [9, 2]], 103/722369249280], [[[1, 11], [2, 2], [10, 3]], 1/66886041600000], [[[1, 11], [2, 2], [14, 2]], 1/2184944025600], [[[1, 11], [2, 2], [18, 2]], 1/3611846246400], [[[1, 11], [2, 4], [3, 5]], 1890561049/499301625102336000], [[[1, 11], [2, 4], [4, 5]], 243388639/295882444505088000], [[[1, 11], [2, 4], [6, 5]], 30173/249650812551168000], [[[1, 11], [2, 6], [3, 4]], 202527418661/39944130008186880000], [[[1, 11], [2, 6], [4, 4]], 5352261661/563585608581120000], [[[1, 11], [2, 6], [5, 2]], 467899511/51368479948800000], [[[1, 11], [2, 6], [6, 4]], 524483447/13314710002728960000], [[[1, 11], [2, 6], [8, 2]], 11160869/5479304527872000], [[[1, 11], [2, 6], [10, 2]], 11814391/51368479948800000], [[[1, 11], [2, 6], [12, 2]], 116087/24656870375424000], [[[1, 11], [2, 6], [15, 1]], 116087/2568423997440000], [[[1, 11], [2, 6], [20, 1]], 116087/1712282664960000], [[[1, 11], [2, 6], [24, 1]], 116087/2054739197952000], [[[1, 11], [2, 6], [30, 1]], 116087/2568423997440000], [[[1, 11], [2, 8], [3, 3]], 18557009243191/7549440571547320320000], [[[1, 11], [2, 8], [4, 3]], 34746788383/2485412533842739200], [[[1, 11], [2, 8], [6, 3]], 128021839/327666691473408000], [[[1, 11], [2, 8], [7, 1]], 18840833071/27184199588904960000], [[[1, 11], [2, 8], [9, 1]], 30257726071/104853341271490560000], [[[1, 11], [2, 8], [14, 1]], 58540609/226534996574208000], [[[1, 11], [2, 8], [18, 1]], 6403391/36407410163712000], [[[1, 11], [2, 10], [3, 2]], 381874732931/838826730171924480000], [[[1, 11], [2, 10], [4, 2]], 7752536526571/2982495040611287040000], [[[1, 11], [2, 10], [5, 1]], 13360724431/46601485009551360000], [[[1, 11], [2, 10], [6, 2]], 3547377391/11184356402292326400], [[[1, 11], [2, 10], [8, 1]], 97635152497/372811880076410880000], [[[1, 11], [2, 10], [10, 1]], 5675259781/25889713894195200000], [[[1, 11], [2, 12], [3, 1]], 206028594677/6710613841375395840000], [[[1, 11], [2, 12], [4, 1]], 407342493199/4473742560916930560000], [[[1, 11], [2, 12], [6, 1]], 13704856439/372811880076410880000], [[[1, 11], [3, 1], [4, 6]], 47321/36985305563136000], [[[1, 11], [3, 1], [5, 3]], 29053/10032906240000], [[[1, 11], [3, 1], [6, 6]], 1/187238109413376000], [[[1, 11], [3, 1], [7, 2]], 1/975421440], [[[1, 11], [3, 1], [9, 2]], 187/2708884684800], [[[1, 11], [3, 1], [12, 3]], 1/57789539942400], [[[1, 11], [3, 3], [4, 4]], 10335571/499301625102336000], [[[1, 11], [3, 3], [5, 2]], 19021633/6501323243520000], [[[1, 11], [3, 3], [6, 4]], 1821931/1685142984720384000], [[[1, 11], [3, 3], [8, 2]], 6721/2080423437926400], [[[1, 11], [3, 3], [10, 2]], 6721/6501323243520000], [[[1, 11], [3, 3], [12, 2]], 25547/624127031377920], [[[1, 11], [3, 3], [15, 1]], 6721/325066162176000], [[[1, 11], [3, 3], [20, 1]], 6721/216710774784000], [[[1, 11], [3, 3], [24, 1]], 6721/260052929740800], [[[1, 11], [3, 3], [30, 1]], 6721/325066162176000], [[[1, 11], [3, 4], [7, 1]], 8108801/6067901693952000], [[[1, 11], [3, 4], [9, 1]], 310283/866843099136000], [[[1, 11], [3, 5], [4, 2]], 2758957/41608468758528000], [[[1, 11], [3, 5], [5, 1]], 930857/1444738498560000], [[[1, 11], [3, 5], [6, 2]], 2725337/62412703137792000], [[[1, 11], [3, 5], [12, 1]], 2725337/10402117189632000], [[[1, 11], [4, 1], [8, 3]], 1/34245653299200], [[[1, 11], [4, 4], [7, 1]], 47251/1797896798208000], [[[1, 11], [4, 4], [9, 1]], 47251/6934744793088000], [[[1, 11], [4, 5], [8, 1]], 47251/8218956791808000], [[[1, 11], [5, 2], [7, 1]], 145153/23410114560000], [[[1, 11], [5, 2], [9, 1]], 145153/90296156160000], [[[1, 11], [6, 4], [7, 1]], 1/6067901693952000], [[[1, 11], [6, 4], [9, 1]], 1/23404763676672000], [[[1, 11], [7, 1], [8, 2]], 1/7491236659200], [[[1, 11], [7, 1], [10, 2]], 1/23410114560000], [[[1, 11], [7, 1], [12, 2]], 1/11236854988800], [[[1, 11], [7, 1], [15, 1]], 1/1170505728000], [[[1, 11], [7, 1], [20, 1]], 1/780337152000], [[[1, 11], [7, 1], [24, 1]], 1/936404582400], [[[1, 11], [7, 1], [30, 1]], 1/1170505728000], [[[1, 11], [8, 2], [9, 1]], 1/28894769971200], [[[1, 11], [9, 1], [10, 2]], 1/90296156160000], [[[1, 11], [9, 1], [12, 2]], 1/43342154956800], [[[1, 11], [9, 1], [15, 1]], 1/4514807808000], [[[1, 11], [9, 1], [20, 1]], 1/3009871872000], [[[1, 11], [9, 1], [24, 1]], 1/3611846246400], [[[1, 11], [9, 1], [30, 1]], 1/4514807808000], [[[1, 12], [2, 1], [3, 6]], 31880419/337028596944076800], [[[1, 12], [2, 1], [4, 6]], 83269/169075682574336000], [[[1, 12], [2, 1], [5, 3]], 300007/200658124800000], [[[1, 12], [2, 1], [7, 2]], 41/728314675200], [[[1, 12], [2, 1], [8, 3]], 1/102736959897600], [[[1, 12], [2, 1], [9, 2]], 127/32506616217600], [[[1, 12], [2, 3], [3, 5]], 66600959/83216937517056000], [[[1, 12], [2, 3], [4, 5]], 618319/11835297780203520], [[[1, 12], [2, 3], [6, 5]], 1573/1497904875307008000], [[[1, 12], [2, 5], [3, 4]], 26462112359/15977652003274752000], [[[1, 12], [2, 5], [4, 4]], 2050858831/2028908190892032000], [[[1, 12], [2, 5], [5, 2]], 18146557/7397061112627200], [[[1, 12], [2, 5], [6, 4]], 35793077/47932956009824256000], [[[1, 12], [2, 5], [8, 2]], 13583509/59176488901017600], [[[1, 12], [2, 5], [10, 2]], 1321909/184926527815680000], [[[1, 12], [2, 5], [12, 2]], 7651/12680676193075200], [[[1, 12], [2, 5], [15, 1]], 7651/1320903770112000], [[[1, 12], [2, 5], [20, 1]], 7651/880602513408000], [[[1, 12], [2, 5], [24, 1]], 7651/1056723016089600], [[[1, 12], [2, 5], [30, 1]], 7651/1320903770112000], [[[1, 12], [2, 7], [3, 3]], 19003601353/15728001190723584000], [[[1, 12], [2, 7], [4, 3]], 1973625323/591764889010176000], [[[1, 12], [2, 7], [6, 3]], 518860739/11983239002456064000], [[[1, 12], [2, 7], [7, 1]], 58540609/226534996574208000], [[[1, 12], [2, 7], [9, 1]], 20120263/218444460982272000], [[[1, 12], [2, 7], [14, 1]], 2357351/43149523156992000], [[[1, 12], [2, 7], [18, 1]], 6536483/166433875034112000], [[[1, 12], [2, 9], [3, 2]], 516963157631/1509888114309464064000], [[[1, 12], [2, 9], [4, 2]], 22402821197293/17894970243667722240000], [[[1, 12], [2, 9], [5, 1]], 230082949781/1165037125238784000000], [[[1, 12], [2, 9], [6, 2]], 8860894519/83882673017192448000], [[[1, 12], [2, 9], [8, 1]], 48699492151/372811880076410880000], [[[1, 12], [2, 9], [10, 1]], 219910373/2588971389419520000], [[[1, 12], [2, 11], [3, 1]], 13704856439/372811880076410880000], [[[1, 12], [2, 11], [4, 1]], 407342493199/4473742560916930560000], [[[1, 12], [2, 11], [6, 1]], 206028594677/6710613841375395840000], [[[1, 13], [2, 2], [3, 5]], 363508207/3744762188267520000], [[[1, 13], [2, 2], [4, 5]], 2133041/986274815016960000], [[[1, 13], [2, 2], [6, 5]], 1/1497904875307008000], [[[1, 13], [2, 4], [3, 4]], 5283609407/15977652003274752000], [[[1, 13], [2, 4], [4, 4]], 150740263/2028908190892032000], [[[1, 13], [2, 4], [5, 2]], 70482109/184926527815680000], [[[1, 13], [2, 4], [6, 4]], 467261/47932956009824256000], [[[1, 13], [2, 4], [8, 2]], 781213/59176488901017600], [[[1, 13], [2, 4], [10, 2]], 14269/184926527815680000], [[[1, 13], [2, 4], [12, 2]], 3901/88764733351526400], [[[1, 13], [2, 4], [15, 1]], 3901/9246326390784000], [[[1, 13], [2, 4], [20, 1]], 3901/6164217593856000], [[[1, 13], [2, 4], [24, 1]], 3901/7397061112627200], [[[1, 13], [2, 4], [30, 1]], 3901/9246326390784000], [[[1, 13], [2, 6], [3, 3]], 1443119987/3994413000818688000], [[[1, 13], [2, 6], [4, 3]], 591500597/1183529778020352000], [[[1, 13], [2, 6], [6, 3]], 1368847/599161950122803200], [[[1, 13], [2, 6], [7, 1]], 2357351/43149523156992000], [[[1, 13], [2, 6], [9, 1]], 964307/55477958344704000], [[[1, 13], [2, 6], [14, 1]], 28729/4314952315699200], [[[1, 13], [2, 6], [18, 1]], 41143/8321693751705600], [[[1, 13], [2, 8], [3, 2]], 1129926741901/7549440571547320320000], [[[1, 13], [2, 8], [4, 2]], 6295991540161/17894970243667722240000], [[[1, 13], [2, 8], [5, 1]], 89963250271/1165037125238784000000], [[[1, 13], [2, 8], [6, 2]], 221347783/11983239002456064000], [[[1, 13], [2, 8], [8, 1]], 459190351/12427062669213696000], [[[1, 13], [2, 8], [10, 1]], 6808169/369853055631360000], [[[1, 13], [2, 10], [3, 1]], 1194336507221/50329603810315468800000], [[[1, 13], [2, 10], [4, 1]], 702132427141/14912475203056435200000], [[[1, 13], [2, 10], [6, 1]], 89667540761/6710613841375395840000], [[[1, 13], [3, 2], [4, 4]], 217921/499301625102336000], [[[1, 13], [3, 2], [5, 2]], 83041/928760463360000], [[[1, 13], [3, 2], [6, 4]], 841/1685142984720384000], [[[1, 13], [3, 2], [8, 2]], 31/2080423437926400], [[[1, 13], [3, 2], [10, 2]], 31/6501323243520000], [[[1, 13], [3, 2], [12, 2]], 17/624127031377920], [[[1, 13], [3, 2], [15, 1]], 31/325066162176000], [[[1, 13], [3, 2], [20, 1]], 31/216710774784000], [[[1, 13], [3, 2], [24, 1]], 31/260052929740800], [[[1, 13], [3, 2], [30, 1]], 31/325066162176000], [[[1, 13], [3, 3], [7, 1]], 6721/303395084697600], [[[1, 13], [3, 3], [9, 1]], 323/55725627801600], [[[1, 13], [3, 4], [4, 2]], 4136747/1331471000272896000], [[[1, 13], [3, 4], [5, 1]], 1199689/28894769971200000], [[[1, 13], [3, 4], [6, 2]], 499/693474479308800], [[[1, 13], [3, 4], [12, 1]], 499/115579079884800], [[[1, 13], [4, 2], [5, 2]], 145153/15410543984640000], [[[1, 13], [4, 2], [6, 4]], 1/3994413000818688000], [[[1, 13], [4, 2], [8, 2]], 109/4931374075084800], [[[1, 13], [4, 2], [10, 2]], 1/15410543984640000], [[[1, 13], [4, 2], [12, 2]], 1/7397061112627200], [[[1, 13], [4, 2], [15, 1]], 1/770527199232000], [[[1, 13], [4, 2], [20, 1]], 1/513684799488000], [[[1, 13], [4, 2], [24, 1]], 1/616421759385600], [[[1, 13], [4, 2], [30, 1]], 1/770527199232000], [[[1, 13], [4, 4], [5, 1]], 47251/77052719923200000], [[[1, 13], [4, 4], [12, 1]], 1/1849265278156800], [[[1, 13], [5, 1], [6, 4]], 1/260052929740800000], [[[1, 13], [5, 1], [8, 2]], 1/321052999680000], [[[1, 13], [5, 1], [10, 2]], 1/1003290624000000], [[[1, 13], [5, 1], [12, 2]], 1/481579499520000], [[[1, 13], [5, 1], [15, 1]], 1/50164531200000], [[[1, 13], [5, 1], [20, 1]], 1/33443020800000], [[[1, 13], [5, 1], [24, 1]], 1/40131624960000], [[[1, 13], [5, 1], [30, 1]], 1/50164531200000], [[[1, 13], [7, 1], [9, 1]], 1/4213820620800], [[[1, 14], [2, 1], [3, 5]], 132383519/22468573129605120000], [[[1, 14], [2, 1], [4, 5]], 15767/328758271672320000], [[[1, 14], [2, 3], [3, 4]], 11045166157/279608910057308160000], [[[1, 14], [2, 3], [4, 4]], 810796411/248541253384273920000], [[[1, 14], [2, 3], [5, 2]], 21871739/647242847354880000], [[[1, 14], [2, 3], [6, 4]], 36391/838826730171924480000], [[[1, 14], [2, 3], [8, 2]], 337951/1035588555767808000], [[[1, 14], [2, 3], [10, 2]], 2791/3236214236774400000], [[[1, 14], [2, 3], [12, 2]], 2791/1553382833651712000], [[[1, 14], [2, 3], [15, 1]], 2791/161810711838720000], [[[1, 14], [2, 3], [20, 1]], 2791/107873807892480000], [[[1, 14], [2, 3], [24, 1]], 2791/129448569470976000], [[[1, 14], [2, 3], [30, 1]], 2791/161810711838720000], [[[1, 14], [2, 5], [3, 3]], 166193/2465687037542400], [[[1, 14], [2, 5], [4, 3]], 7271531/169075682574336000], [[[1, 14], [2, 5], [6, 3]], 4457267/83882673017192448000], [[[1, 14], [2, 5], [7, 1]], 28729/4314952315699200], [[[1, 14], [2, 5], [9, 1]], 3263/1664338750341120], [[[1, 14], [2, 5], [14, 1]], 142117/302046662098944000], [[[1, 14], [2, 5], [18, 1]], 415187/1165037125238784000], [[[1, 14], [2, 7], [3, 2]], 10186327429/251648019051577344000], [[[1, 14], [2, 7], [4, 2]], 92540752711/1491247520305643520000], [[[1, 14], [2, 7], [5, 1]], 142688537/7766914168258560000], [[[1, 14], [2, 7], [6, 2]], 50077583/27960891005730816000], [[[1, 14], [2, 7], [8, 1]], 3715781/591764889010176000], [[[1, 14], [2, 7], [10, 1]], 29488357/12944856947097600000], [[[1, 14], [2, 9], [3, 1]], 2745640916077/301977622861892812800000], [[[1, 14], [2, 9], [4, 1]], 217655619121/14912475203056435200000], [[[1, 14], [2, 9], [6, 1]], 804558373/239664780049121280000], [[[1, 15], [2, 2], [3, 4]], 442767223/167765346034384896000], [[[1, 15], [2, 2], [4, 4]], 9727489/149124752030564352000], [[[1, 15], [2, 2], [5, 2]], 624161/388345708412928000], [[[1, 15], [2, 2], [6, 4]], 37/503296038103154688000], [[[1, 15], [2, 2], [8, 2]], 1549/621353133460684800], [[[1, 15], [2, 2], [10, 2]], 37/1941728542064640000], [[[1, 15], [2, 2], [12, 2]], 37/932029700191027200], [[[1, 15], [2, 2], [15, 1]], 37/97086427103232000], [[[1, 15], [2, 2], [20, 1]], 37/64724284735488000], [[[1, 15], [2, 2], [24, 1]], 37/77669141682585600], [[[1, 15], [2, 2], [30, 1]], 37/97086427103232000], [[[1, 15], [2, 4], [3, 3]], 218544203/27960891005730816000], [[[1, 15], [2, 4], [4, 3]], 2731313/1380784741023744000], [[[1, 15], [2, 4], [6, 3]], 8833/15728001190723584000], [[[1, 15], [2, 4], [7, 1]], 142117/302046662098944000], [[[1, 15], [2, 4], [9, 1]], 153281/1165037125238784000], [[[1, 15], [2, 4], [14, 1]], 4279/226534996574208000], [[[1, 15], [2, 4], [18, 1]], 3163/218444460982272000], [[[1, 15], [2, 6], [3, 2]], 1114901/159776520032747520], [[[1, 15], [2, 6], [4, 2]], 9945489391/1491247520305643520000], [[[1, 15], [2, 6], [5, 1]], 5059991/1849265278156800000], [[[1, 15], [2, 6], [6, 2]], 8172091/83882673017192448000], [[[1, 15], [2, 6], [8, 1]], 2699287/4142354223071232000], [[[1, 15], [2, 6], [10, 1]], 1262381/7766914168258560000], [[[1, 15], [2, 8], [3, 1]], 665725060921/301977622861892812800000], [[[1, 15], [2, 8], [4, 1]], 3798887/1315033086689280000], [[[1, 15], [2, 8], [6, 1]], 2561259173/5032960381031546880000], [[[1, 15], [3, 1], [4, 4]], 6943/2853152143441920000], [[[1, 15], [3, 1], [5, 2]], 29549/52010585948160000], [[[1, 15], [3, 1], [6, 4]], 1/67405719388815360000], [[[1, 15], [3, 1], [8, 2]], 1/83216937517056000], [[[1, 15], [3, 1], [10, 2]], 1/260052929740800000], [[[1, 15], [3, 1], [12, 2]], 1/124825406275584000], [[[1, 15], [3, 1], [15, 1]], 1/13002646487040000], [[[1, 15], [3, 1], [20, 1]], 1/8668430991360000], [[[1, 15], [3, 1], [24, 1]], 1/10402117189632000], [[[1, 15], [3, 1], [30, 1]], 1/13002646487040000], [[[1, 15], [3, 2], [7, 1]], 31/303395084697600], [[[1, 15], [3, 2], [9, 1]], 23/866843099136000], [[[1, 15], [3, 3], [4, 2]], 857/22191183337881600], [[[1, 15], [3, 3], [5, 1]], 2447/4334215495680000], [[[1, 15], [3, 3], [6, 2]], 827/249650812551168000], [[[1, 15], [3, 3], [12, 1]], 827/41608468758528000], [[[1, 15], [4, 2], [7, 1]], 1/719158719283200], [[[1, 15], [4, 2], [9, 1]], 1/2773897917235200], [[[1, 15], [4, 3], [8, 1]], 1/3287582716723200], [[[1, 15], [5, 1], [7, 1]], 1/46820229120000], [[[1, 15], [5, 1], [9, 1]], 1/180592312320000], [[[1, 16], [2, 1], [3, 4]], 8647594747/100659207620630937600000], [[[1, 16], [2, 1], [4, 4]], 13702741/89474851218338611200000], [[[1, 16], [2, 1], [5, 2]], 8186621/233007425047756800000], [[[1, 16], [2, 1], [6, 4]], 241/301977622861892812800000], [[[1, 16], [2, 1], [8, 2]], 241/372811880076410880000], [[[1, 16], [2, 1], [10, 2]], 241/1165037125238784000000], [[[1, 16], [2, 1], [12, 2]], 241/559217820114616320000], [[[1, 16], [2, 1], [15, 1]], 241/58251856261939200000], [[[1, 16], [2, 1], [20, 1]], 241/38834570841292800000], [[[1, 16], [2, 1], [24, 1]], 241/46601485009551360000], [[[1, 16], [2, 1], [30, 1]], 241/58251856261939200000], [[[1, 16], [2, 3], [3, 3]], 477623/873777843929088000], [[[1, 16], [2, 3], [4, 3]], 545429/12427062669213696000], [[[1, 16], [2, 3], [6, 3]], 66841/15098881143094640640000], [[[1, 16], [2, 3], [7, 1]], 4279/226534996574208000], [[[1, 16], [2, 3], [9, 1]], 31/6067901693952000], [[[1, 16], [2, 3], [14, 1]], 22441/54368399177809920000], [[[1, 16], [2, 3], [18, 1]], 66841/209706682542981120000], [[[1, 16], [2, 5], [3, 2]], 21562799/27960891005730816000], [[[1, 16], [2, 5], [4, 2]], 15158878621/35789940487335444480000], [[[1, 16], [2, 5], [5, 1]], 132943/517794277883904000], [[[1, 16], [2, 5], [6, 2]], 14657281/5032960381031546880000], [[[1, 16], [2, 5], [8, 1]], 510451/12427062669213696000], [[[1, 16], [2, 5], [10, 1]], 15293641/2330074250477568000000], [[[1, 16], [2, 7], [3, 1]], 1755137333/5032960381031546880000], [[[1, 16], [2, 7], [4, 1]], 30443041/82847084461424640000], [[[1, 16], [2, 7], [6, 1]], 28726696141/603955245723785625600000], [[[1, 17], [2, 2], [3, 3]], 36483187/1677653460343848960000], [[[1, 17], [2, 2], [4, 3]], 578581/1491247520305643520000], [[[1, 17], [2, 2], [6, 3]], 181/3774720285773660160000], [[[1, 17], [2, 2], [7, 1]], 22441/54368399177809920000], [[[1, 17], [2, 2], [9, 1]], 283/2588971389419520000], [[[1, 17], [2, 2], [14, 1]], 121/27184199588904960000], [[[1, 17], [2, 2], [18, 1]], 181/52426670635745280000], [[[1, 17], [2, 4], [3, 2]], 1509257/27960891005730816000], [[[1, 17], [2, 4], [4, 2]], 544635913/35789940487335444480000], [[[1, 17], [2, 4], [5, 1]], 12947/862990463139840000], [[[1, 17], [2, 4], [6, 2]], 239047/5032960381031546880000], [[[1, 17], [2, 4], [8, 1]], 1138201/745623760152821760000], [[[1, 17], [2, 4], [10, 1]], 335411/2330074250477568000000], [[[1, 17], [2, 6], [3, 1]], 20332177/559217820114616320000], [[[1, 17], [2, 6], [4, 1]], 893014141/29824950406112870400000], [[[1, 17], [2, 6], [6, 1]], 1654506577/603955245723785625600000], [[[1, 17], [3, 1], [7, 1]], 1/12135803387904000], [[[1, 17], [3, 1], [9, 1]], 83/3883457084129280000], [[[1, 17], [3, 2], [4, 2]], 53/332867750068224000], [[[1, 17], [3, 2], [5, 1]], 1/412782428160000], [[[1, 17], [3, 2], [6, 2]], 2987/1118435640229232640000], [[[1, 17], [3, 2], [12, 1]], 2987/186405940038205440000], [[[1, 17], [4, 2], [5, 1]], 1/30821087969280000], [[[1, 17], [4, 2], [12, 1]], 1/139804455028654080000], [[[1, 17], [6, 1], [18, 1]], 1/104853341271490560000], [[[1, 17], [6, 2], [12, 1]], 1/559217820114616320000], [[[1, 18], [2, 1], [3, 3]], 5061463/11324160857320980480000], [[[1, 18], [2, 1], [4, 3]], 3781/1491247520305643520000], [[[1, 18], [2, 1], [6, 3]], 1/5032960381031546880000], [[[1, 18], [2, 1], [7, 1]], 121/27184199588904960000], [[[1, 18], [2, 1], [9, 1]], 61/52426670635745280000], [[[1, 18], [2, 1], [14, 1]], 1/54368399177809920000], [[[1, 18], [2, 1], [18, 1]], 1/69902227514327040000], [[[1, 18], [2, 3], [3, 2]], 432883/186405940038205440000], [[[1, 18], [2, 3], [4, 2]], 1678961/5964990081222574080000], [[[1, 18], [2, 3], [5, 1]], 3281/6213531334606848000], [[[1, 18], [2, 3], [6, 2]], 29/67106138413753958400], [[[1, 18], [2, 3], [8, 1]], 23647/745623760152821760000], [[[1, 18], [2, 3], [10, 1]], 29/18640594003820544000], [[[1, 18], [2, 5], [3, 1]], 11151407/4473742560916930560000], [[[1, 18], [2, 5], [4, 1]], 46082321/29824950406112870400000], [[[1, 18], [2, 5], [6, 1]], 3181517/33553069206876979200000], [[[1, 19], [2, 2], [3, 2]], 293351/5032960381031546880000], [[[1, 19], [2, 2], [4, 2]], 4427/1988330027074191360000], [[[1, 19], [2, 2], [5, 1]], 197/18640594003820544000], [[[1, 19], [2, 2], [6, 2]], 1/559217820114616320000], [[[1, 19], [2, 2], [8, 1]], 247/745623760152821760000], [[[1, 19], [2, 2], [10, 1]], 1/155338283365171200000], [[[1, 19], [2, 4], [3, 1]], 495347/4473742560916930560000], [[[1, 19], [2, 4], [4, 1]], 439213/8947485121833861120000], [[[1, 19], [2, 4], [6, 1]], 4183/2236871280458465280000], [[[1, 19], [3, 1], [4, 2]], 47/372811880076410880000], [[[1, 19], [3, 1], [5, 1]], 1/517794277883904000], [[[1, 19], [3, 1], [6, 2]], 1/1677653460343848960000], [[[1, 19], [3, 1], [12, 1]], 1/279608910057308160000], [[[1, 19], [4, 1], [8, 1]], 1/248541253384273920000], [[[1, 20], [2, 1], [3, 2]], 11549/15098881143094640640000], [[[1, 20], [2, 1], [4, 2]], 253/35789940487335444480000], [[[1, 20], [2, 1], [5, 1]], 251/2330074250477568000000], [[[1, 20], [2, 1], [8, 1]], 1/745623760152821760000], [[[1, 20], [2, 3], [3, 1]], 20773/6710613841375395840000], [[[1, 20], [2, 3], [4, 1]], 13/14315976194934177792], [[[1, 20], [2, 3], [6, 1]], 253/13421227682750791680000], [[[1, 21], [2, 2], [3, 1]], 5191/100659207620630937600000], [[[1, 21], [2, 2], [4, 1]], 29/3313883378456985600000], [[[1, 21], [2, 2], [6, 1]], 1/13421227682750791680000], [[[1, 22], [2, 1], [3, 1]], 277/603955245723785625600000], [[[1, 22], [2, 1], [4, 1]], 1/29824950406112870400000], [[[2, 1], [3, 2], [6, 10]], 1/167176883404800], [[[2, 1], [3, 2], [12, 5]], 23/1433272320], [[[2, 1], [3, 3], [9, 3]], 1/1889568], [[[2, 1], [3, 4], [4, 8]], 17/5547795834470400], [[[2, 1], [3, 4], [5, 4]], 1/223948800000], [[[2, 1], [3, 4], [6, 8]], 163621/15045919506432000], [[[2, 1], [3, 4], [8, 4]], 1/12740198400], [[[2, 1], [3, 4], [10, 4]], 1/223948800000], [[[2, 1], [3, 4], [12, 4]], 8123/773967052800], [[[2, 1], [3, 4], [15, 2]], 1/559872000], [[[2, 1], [3, 4], [16, 2]], 1/119439360], [[[2, 1], [3, 4], [20, 2]], 1/149299200], [[[2, 1], [3, 4], [24, 2]], 1/119439360], [[[2, 1], [3, 4], [30, 2]], 1/559872000], [[[2, 1], [3, 4], [40, 1]], 1/12441600], [[[2, 1], [3, 4], [48, 1]], 1/14929920], [[[2, 1], [3, 4], [60, 1]], 1/18662400], [[[2, 1], [3, 6], [6, 6]], 79111/83588441702400], [[[2, 1], [3, 6], [9, 2]], 1/1813985280], [[[2, 1], [3, 6], [12, 3]], 91/25798901760], [[[2, 1], [3, 8], [4, 4]], 1/4458050224128000], [[[2, 1], [3, 8], [5, 2]], 1/58047528960000], [[[2, 1], [3, 8], [6, 4]], 163621/15045919506432000], [[[2, 1], [3, 8], [8, 2]], 1/18575209267200], [[[2, 1], [3, 8], [10, 2]], 1/58047528960000], [[[2, 1], [3, 8], [12, 2]], 541/27862813900800], [[[2, 1], [3, 8], [15, 1]], 1/2902376448000], [[[2, 1], [3, 8], [20, 1]], 1/1934917632000], [[[2, 1], [3, 8], [24, 1]], 1/2321901158400], [[[2, 1], [3, 8], [30, 1]], 1/2902376448000], [[[2, 1], [3, 9], [9, 1]], 1/5224277606400], [[[2, 1], [3, 10], [6, 2]], 1/167176883404800], [[[2, 1], [3, 10], [12, 1]], 1/27862813900800], [[[2, 1], [4, 2], [12, 5]], 7/39813120], [[[2, 1], [4, 4], [5, 4]], 1/66355200000], [[[2, 1], [4, 4], [6, 8]], 1/4458050224128000], [[[2, 1], [4, 4], [8, 4]], 803/11324620800], [[[2, 1], [4, 4], [10, 4]], 1/66355200000], [[[2, 1], [4, 4], [12, 4]], 349021/76441190400], [[[2, 1], [4, 4], [15, 2]], 1/165888000], [[[2, 1], [4, 4], [16, 2]], 1/35389440], [[[2, 1], [4, 4], [20, 2]], 2309/221184000], [[[2, 1], [4, 4], [24, 2]], 1/35389440], [[[2, 1], [4, 4], [30, 2]], 1/165888000], [[[2, 1], [4, 4], [40, 1]], 1/3686400], [[[2, 1], [4, 4], [48, 1]], 1/4423680], [[[2, 1], [4, 4], [60, 1]], 1/5529600], [[[2, 1], [4, 6], [12, 3]], 8983/5733089280], [[[2, 1], [4, 6], [28, 1]], 1/5160960], [[[2, 1], [4, 6], [36, 1]], 1/19906560], [[[2, 1], [4, 8], [5, 2]], 17/21403533312000], [[[2, 1], [4, 8], [6, 4]], 17/5547795834470400], [[[2, 1], [4, 8], [8, 2]], 2033/6849130659840], [[[2, 1], [4, 8], [10, 2]], 17/21403533312000], [[[2, 1], [4, 8], [12, 2]], 5443/380507258880], [[[2, 1], [4, 8], [15, 1]], 17/1070176665600], [[[2, 1], [4, 8], [20, 1]], 16213/3567255552000], [[[2, 1], [4, 8], [24, 1]], 17/856141332480], [[[2, 1], [4, 8], [30, 1]], 17/1070176665600], [[[2, 1], [4, 10], [12, 1]], 103/4280706662400], [[[2, 1], [5, 2], [6, 8]], 1/58047528960000], [[[2, 1], [5, 2], [8, 4]], 1/49152000], [[[2, 1], [5, 2], [10, 4]], 601/864000000], [[[2, 1], [5, 2], [12, 4]], 23/2985984000], [[[2, 1], [5, 2], [15, 2]], 601/2160000], [[[2, 1], [5, 2], [16, 2]], 1/460800], [[[2, 1], [5, 2], [20, 2]], 1/576000], [[[2, 1], [5, 2], [24, 2]], 1/460800], [[[2, 1], [5, 2], [30, 2]], 1/2160000], [[[2, 1], [5, 2], [40, 1]], 1/48000], [[[2, 1], [5, 2], [48, 1]], 1/57600], [[[2, 1], [5, 2], [60, 1]], 1/72000], [[[2, 1], [5, 4], [6, 4]], 1/223948800000], [[[2, 1], [5, 4], [8, 2]], 1/276480000], [[[2, 1], [5, 4], [10, 2]], 601/864000000], [[[2, 1], [5, 4], [12, 2]], 1/414720000], [[[2, 1], [5, 4], [15, 1]], 1/43200000], [[[2, 1], [5, 4], [20, 1]], 1/28800000], [[[2, 1], [5, 4], [24, 1]], 1/34560000], [[[2, 1], [5, 4], [30, 1]], 1/43200000], [[[2, 1], [6, 2], [12, 5]], 23/1433272320], [[[2, 1], [6, 3], [18, 3]], 1/1889568], [[[2, 1], [6, 4], [8, 4]], 1/12740198400], [[[2, 1], [6, 4], [10, 4]], 1/223948800000], [[[2, 1], [6, 4], [12, 4]], 8123/773967052800], [[[2, 1], [6, 4], [15, 2]], 1/559872000], [[[2, 1], [6, 4], [16, 2]], 1/119439360], [[[2, 1], [6, 4], [20, 2]], 1/149299200], [[[2, 1], [6, 4], [24, 2]], 1/119439360], [[[2, 1], [6, 4], [30, 2]], 1/559872000], [[[2, 1], [6, 4], [40, 1]], 1/12441600], [[[2, 1], [6, 4], [48, 1]], 1/14929920], [[[2, 1], [6, 4], [60, 1]], 1/18662400], [[[2, 1], [6, 6], [12, 3]], 91/25798901760], [[[2, 1], [6, 6], [18, 2]], 1/1813985280], [[[2, 1], [6, 8], [8, 2]], 1/18575209267200], [[[2, 1], [6, 8], [10, 2]], 1/58047528960000], [[[2, 1], [6, 8], [12, 2]], 541/27862813900800], [[[2, 1], [6, 8], [15, 1]], 1/2902376448000], [[[2, 1], [6, 8], [20, 1]], 1/1934917632000], [[[2, 1], [6, 8], [24, 1]], 1/2321901158400], [[[2, 1], [6, 8], [30, 1]], 1/2902376448000], [[[2, 1], [6, 9], [18, 1]], 1/5224277606400], [[[2, 1], [6, 10], [12, 1]], 1/27862813900800], [[[2, 1], [8, 2], [10, 4]], 1/276480000], [[[2, 1], [8, 2], [12, 4]], 23/955514880], [[[2, 1], [8, 2], [15, 2]], 1/691200], [[[2, 1], [8, 2], [16, 2]], 1/147456], [[[2, 1], [8, 2], [20, 2]], 1/184320], [[[2, 1], [8, 2], [24, 2]], 451/442368], [[[2, 1], [8, 2], [30, 2]], 1/691200], [[[2, 1], [8, 2], [40, 1]], 1/15360], [[[2, 1], [8, 2], [48, 1]], 1/18432], [[[2, 1], [8, 2], [60, 1]], 1/23040], [[[2, 1], [8, 4], [10, 2]], 1/49152000], [[[2, 1], [8, 4], [12, 2]], 1/23592960], [[[2, 1], [8, 4], [15, 1]], 1/2457600], [[[2, 1], [8, 4], [20, 1]], 1/1638400], [[[2, 1], [8, 4], [24, 1]], 329/17694720], [[[2, 1], [8, 4], [30, 1]], 1/2457600], [[[2, 1], [9, 1], [27, 1]], 1/324], [[[2, 1], [9, 2], [18, 2]], 1/10368], [[[2, 1], [9, 2], [36, 1]], 1/1728], [[[2, 1], [10, 2], [12, 4]], 23/2985984000], [[[2, 1], [10, 2], [15, 2]], 1/2160000], [[[2, 1], [10, 2], [16, 2]], 1/460800], [[[2, 1], [10, 2], [20, 2]], 1/576000], [[[2, 1], [10, 2], [24, 2]], 1/460800], [[[2, 1], [10, 2], [30, 2]], 601/2160000], [[[2, 1], [10, 2], [40, 1]], 1/48000], [[[2, 1], [10, 2], [48, 1]], 1/57600], [[[2, 1], [10, 2], [60, 1]], 1/72000], [[[2, 1], [10, 4], [12, 2]], 1/414720000], [[[2, 1], [10, 4], [15, 1]], 1/43200000], [[[2, 1], [10, 4], [20, 1]], 1/28800000], [[[2, 1], [10, 4], [24, 1]], 1/34560000], [[[2, 1], [10, 4], [30, 1]], 1/43200000], [[[2, 1], [12, 2], [15, 2]], 1/1036800], [[[2, 1], [12, 2], [16, 2]], 1/221184], [[[2, 1], [12, 2], [20, 2]], 1/276480], [[[2, 1], [12, 2], [24, 2]], 1/24576], [[[2, 1], [12, 2], [30, 2]], 1/1036800], [[[2, 1], [12, 2], [40, 1]], 1/23040], [[[2, 1], [12, 2], [48, 1]], 1/27648], [[[2, 1], [12, 2], [60, 1]], 1/34560], [[[2, 1], [12, 3], [36, 1]], 1/62208], [[[2, 1], [12, 4], [15, 1]], 23/149299200], [[[2, 1], [12, 4], [20, 1]], 23/99532800], [[[2, 1], [12, 4], [24, 1]], 383/119439360], [[[2, 1], [12, 4], [30, 1]], 23/149299200], [[[2, 1], [15, 1], [16, 2]], 1/23040], [[[2, 1], [15, 1], [20, 2]], 1/28800], [[[2, 1], [15, 1], [24, 2]], 1/23040], [[[2, 1], [15, 1], [30, 2]], 31/108000], [[[2, 1], [15, 1], [40, 1]], 1/2400], [[[2, 1], [15, 1], [48, 1]], 1/2880], [[[2, 1], [15, 1], [60, 1]], 1/3600], [[[2, 1], [15, 2], [20, 1]], 1/72000], [[[2, 1], [15, 2], [24, 1]], 1/86400], [[[2, 1], [15, 2], [30, 1]], 31/108000], [[[2, 1], [16, 2], [20, 1]], 1/15360], [[[2, 1], [16, 2], [24, 1]], 1/18432], [[[2, 1], [16, 2], [30, 1]], 1/23040], [[[2, 1], [18, 1], [54, 1]], 1/324], [[[2, 1], [18, 2], [36, 1]], 1/1728], [[[2, 1], [20, 1], [24, 2]], 1/15360], [[[2, 1], [20, 1], [30, 2]], 1/72000], [[[2, 1], [20, 1], [40, 1]], 1/1600], [[[2, 1], [20, 1], [48, 1]], 1/1920], [[[2, 1], [20, 1], [60, 1]], 7/800], [[[2, 1], [20, 2], [24, 1]], 1/23040], [[[2, 1], [20, 2], [30, 1]], 1/28800], [[[2, 1], [24, 1], [30, 2]], 1/86400], [[[2, 1], [24, 1], [40, 1]], 1/1920], [[[2, 1], [24, 1], [48, 1]], 1/2304], [[[2, 1], [24, 1], [60, 1]], 1/2880], [[[2, 1], [24, 2], [30, 1]], 1/23040], [[[2, 1], [30, 1], [40, 1]], 1/2400], [[[2, 1], [30, 1], [48, 1]], 1/2880], [[[2, 1], [30, 1], [60, 1]], 1/3600], [[[2, 3], [3, 2], [6, 9]], 7/27862813900800], [[[2, 3], [3, 4], [6, 7]], 82621/376147987660800], [[[2, 3], [3, 6], [6, 5]], 81821/41794220851200], [[[2, 3], [3, 8], [6, 3]], 1621/752295975321600], [[[2, 3], [3, 8], [14, 1]], 1/2708884684800], [[[2, 3], [3, 8], [18, 1]], 1/10448555212800], [[[2, 3], [3, 10], [6, 1]], 1/83588441702400], [[[2, 3], [4, 1], [8, 5]], 1/10485760], [[[2, 3], [4, 2], [6, 9]], 1/55725627801600], [[[2, 3], [4, 4], [6, 7]], 1/111451255603200], [[[2, 3], [4, 5], [8, 3]], 241/2264924160], [[[2, 3], [4, 6], [6, 5]], 1/8255648563200], [[[2, 3], [4, 8], [6, 3]], 17/277389791723520], [[[2, 3], [4, 8], [14, 1]], 17/998831554560], [[[2, 3], [4, 8], [18, 1]], 17/3852635996160], [[[2, 3], [4, 9], [8, 1]], 17/4566087106560], [[[2, 3], [4, 10], [6, 1]], 17/20547391979520], [[[2, 3], [5, 2], [6, 7]], 1/1451188224000], [[[2, 3], [5, 4], [6, 3]], 1/11197440000], [[[2, 3], [5, 4], [14, 1]], 1/40320000], [[[2, 3], [5, 4], [18, 1]], 1/155520000], [[[2, 3], [6, 1], [10, 5]], 1/86400000], [[[2, 3], [6, 1], [12, 5]], 23/716636160], [[[2, 3], [6, 2], [18, 3]], 7/314928], [[[2, 3], [6, 2], [54, 1]], 1/648], [[[2, 3], [6, 3], [8, 4]], 1/637009920], [[[2, 3], [6, 3], [10, 4]], 1/11197440000], [[[2, 3], [6, 3], [12, 4]], 1643/38698352640], [[[2, 3], [6, 3], [15, 2]], 1/27993600], [[[2, 3], [6, 3], [16, 2]], 1/5971968], [[[2, 3], [6, 3], [20, 2]], 1/7464960], [[[2, 3], [6, 3], [24, 2]], 1/5971968], [[[2, 3], [6, 3], [30, 2]], 1/27993600], [[[2, 3], [6, 3], [40, 1]], 1/622080], [[[2, 3], [6, 3], [48, 1]], 1/746496], [[[2, 3], [6, 3], [60, 1]], 1/933120], [[[2, 3], [6, 5], [10, 3]], 1/11197440000], [[[2, 3], [6, 5], [12, 3]], 281/12899450880], [[[2, 3], [6, 5], [18, 2]], 7/604661760], [[[2, 3], [6, 7], [8, 2]], 1/464380231680], [[[2, 3], [6, 7], [10, 2]], 1/1451188224000], [[[2, 3], [6, 7], [12, 2]], 65/139314069504], [[[2, 3], [6, 7], [15, 1]], 1/72559411200], [[[2, 3], [6, 7], [20, 1]], 1/48372940800], [[[2, 3], [6, 7], [24, 1]], 1/58047528960], [[[2, 3], [6, 7], [30, 1]], 1/72559411200], [[[2, 3], [6, 8], [14, 1]], 1/2708884684800], [[[2, 3], [6, 8], [18, 1]], 1/128994508800], [[[2, 3], [6, 9], [10, 1]], 1/5804752896000], [[[2, 3], [6, 9], [12, 1]], 7/4643802316800], [[[2, 3], [8, 4], [14, 1]], 1/2293760], [[[2, 3], [8, 4], [18, 1]], 1/8847360], [[[2, 3], [10, 4], [14, 1]], 1/40320000], [[[2, 3], [10, 4], [18, 1]], 1/155520000], [[[2, 3], [12, 4], [14, 1]], 23/139345920], [[[2, 3], [12, 4], [18, 1]], 23/537477120], [[[2, 3], [14, 1], [15, 2]], 1/100800], [[[2, 3], [14, 1], [16, 2]], 1/21504], [[[2, 3], [14, 1], [20, 2]], 1/26880], [[[2, 3], [14, 1], [24, 2]], 1/21504], [[[2, 3], [14, 1], [30, 2]], 1/100800], [[[2, 3], [14, 1], [40, 1]], 1/2240], [[[2, 3], [14, 1], [48, 1]], 1/2688], [[[2, 3], [14, 1], [60, 1]], 1/3360], [[[2, 3], [15, 2], [18, 1]], 1/388800], [[[2, 3], [16, 2], [18, 1]], 1/82944], [[[2, 3], [18, 1], [20, 2]], 1/103680], [[[2, 3], [18, 1], [24, 2]], 1/82944], [[[2, 3], [18, 1], [30, 2]], 1/388800], [[[2, 3], [18, 1], [40, 1]], 1/8640], [[[2, 3], [18, 1], [48, 1]], 1/10368], [[[2, 3], [18, 1], [60, 1]], 1/12960], [[[2, 5], [3, 2], [6, 8]], 1/278628139008], [[[2, 5], [3, 4], [4, 6]], 1/264180754022400], [[[2, 5], [3, 4], [6, 6]], 262453/376147987660800], [[[2, 5], [3, 4], [10, 3]], 1/223948800000], [[[2, 5], [3, 4], [14, 2]], 1/487710720], [[[2, 5], [3, 4], [18, 2]], 1/7255941120], [[[2, 5], [3, 6], [6, 4]], 163/835884417024], [[[2, 5], [3, 8], [4, 2]], 1/1783220089651200], [[[2, 5], [3, 8], [6, 2]], 541/250765325107200], [[[2, 5], [3, 8], [10, 1]], 1/116095057920000], [[[2, 5], [4, 2], [5, 4]], 1/26542080000], [[[2, 5], [4, 2], [6, 8]], 427/594406696550400], [[[2, 5], [4, 2], [8, 4]], 121/1509949440], [[[2, 5], [4, 2], [10, 4]], 1/26542080000], [[[2, 5], [4, 2], [12, 4]], 23/91729428480], [[[2, 5], [4, 2], [15, 2]], 1/66355200], [[[2, 5], [4, 2], [16, 2]], 1/14155776], [[[2, 5], [4, 2], [20, 2]], 1/17694720], [[[2, 5], [4, 2], [24, 2]], 1/14155776], [[[2, 5], [4, 2], [30, 2]], 1/66355200], [[[2, 5], [4, 2], [40, 1]], 1/1474560], [[[2, 5], [4, 2], [48, 1]], 1/1769472], [[[2, 5], [4, 2], [60, 1]], 1/2211840], [[[2, 5], [4, 4], [6, 6]], 553/111451255603200], [[[2, 5], [4, 4], [10, 3]], 1/66355200000], [[[2, 5], [4, 4], [12, 3]], 7/2293235712], [[[2, 5], [4, 4], [14, 2]], 1/144506880], [[[2, 5], [4, 4], [18, 2]], 1/2149908480], [[[2, 5], [4, 4], [28, 1]], 1/2064384], [[[2, 5], [4, 4], [36, 1]], 1/7962624], [[[2, 5], [4, 6], [5, 2]], 1/1019215872000], [[[2, 5], [4, 6], [6, 4]], 641/264180754022400], [[[2, 5], [4, 6], [8, 2]], 349/326149079040], [[[2, 5], [4, 6], [10, 2]], 1/1019215872000], [[[2, 5], [4, 6], [12, 2]], 3841/489223618560], [[[2, 5], [4, 6], [15, 1]], 1/50960793600], [[[2, 5], [4, 6], [20, 1]], 77/6794772480], [[[2, 5], [4, 6], [24, 1]], 1/40768634880], [[[2, 5], [4, 6], [30, 1]], 1/50960793600], [[[2, 5], [4, 8], [6, 2]], 1529/92463263907840], [[[2, 5], [4, 8], [10, 1]], 17/42807066624000], [[[2, 5], [4, 8], [12, 1]], 19/366917713920], [[[2, 5], [5, 2], [6, 6]], 13/1451188224000], [[[2, 5], [5, 2], [10, 3]], 301/864000000], [[[2, 5], [5, 2], [14, 2]], 1/1881600], [[[2, 5], [5, 2], [18, 2]], 1/27993600], [[[2, 5], [5, 4], [6, 2]], 1/3732480000], [[[2, 5], [5, 4], [10, 1]], 1/1728000000], [[[2, 5], [6, 1], [18, 3]], 1/2519424], [[[2, 5], [6, 2], [8, 4]], 1/212336640], [[[2, 5], [6, 2], [10, 4]], 433/3732480000], [[[2, 5], [6, 2], [12, 4]], 563/12899450880], [[[2, 5], [6, 2], [15, 2]], 1/9331200], [[[2, 5], [6, 2], [16, 2]], 1/1990656], [[[2, 5], [6, 2], [20, 2]], 1/2488320], [[[2, 5], [6, 2], [24, 2]], 1/1990656], [[[2, 5], [6, 2], [30, 2]], 1/9331200], [[[2, 5], [6, 2], [40, 1]], 1/207360], [[[2, 5], [6, 2], [48, 1]], 1/248832], [[[2, 5], [6, 2], [60, 1]], 1/311040], [[[2, 5], [6, 4], [10, 3]], 401/223948800000], [[[2, 5], [6, 4], [12, 3]], 59/1289945088], [[[2, 5], [6, 4], [14, 2]], 1/487710720], [[[2, 5], [6, 4], [18, 2]], 155627/2418647040], [[[2, 5], [6, 6], [8, 2]], 13/464380231680], [[[2, 5], [6, 6], [10, 2]], 661/1451188224000], [[[2, 5], [6, 6], [12, 2]], 1957/696570347520], [[[2, 5], [6, 6], [15, 1]], 13/72559411200], [[[2, 5], [6, 6], [20, 1]], 13/48372940800], [[[2, 5], [6, 6], [24, 1]], 13/58047528960], [[[2, 5], [6, 6], [30, 1]], 13/72559411200], [[[2, 5], [6, 7], [14, 1]], 1/67722117120], [[[2, 5], [6, 7], [18, 1]], 1/9674588160], [[[2, 5], [6, 8], [10, 1]], 89/12899450880000], [[[2, 5], [6, 8], [12, 1]], 1/46438023168], [[[2, 5], [8, 2], [10, 3]], 1/276480000], [[[2, 5], [8, 2], [14, 2]], 1/602112], [[[2, 5], [8, 2], [18, 2]], 1/8957952], [[[2, 5], [8, 4], [10, 1]], 1/98304000], [[[2, 5], [10, 1], [12, 4]], 23/5971968000], [[[2, 5], [10, 1], [15, 2]], 1/4320000], [[[2, 5], [10, 1], [16, 2]], 1/921600], [[[2, 5], [10, 1], [20, 2]], 1/1152000], [[[2, 5], [10, 1], [24, 2]], 1/921600], [[[2, 5], [10, 1], [30, 2]], 1/4320000], [[[2, 5], [10, 1], [40, 1]], 1/96000], [[[2, 5], [10, 1], [48, 1]], 1/115200], [[[2, 5], [10, 1], [60, 1]], 1/144000], [[[2, 5], [10, 2], [14, 2]], 1/1881600], [[[2, 5], [10, 2], [18, 2]], 1/27993600], [[[2, 5], [10, 3], [12, 2]], 1/414720000], [[[2, 5], [10, 3], [15, 1]], 1/43200000], [[[2, 5], [10, 3], [20, 1]], 1/28800000], [[[2, 5], [10, 3], [24, 1]], 1/34560000], [[[2, 5], [10, 3], [30, 1]], 1/43200000], [[[2, 5], [12, 2], [14, 2]], 1/903168], [[[2, 5], [12, 2], [18, 2]], 1/13436928], [[[2, 5], [14, 2], [15, 1]], 1/94080], [[[2, 5], [14, 2], [20, 1]], 1/62720], [[[2, 5], [14, 2], [24, 1]], 1/75264], [[[2, 5], [14, 2], [30, 1]], 1/94080], [[[2, 5], [15, 1], [18, 2]], 1/1399680], [[[2, 5], [18, 2], [20, 1]], 1/933120], [[[2, 5], [18, 2], [24, 1]], 1/1119744], [[[2, 5], [18, 2], [30, 1]], 1/1399680], [[[2, 7], [3, 2], [6, 7]], 1147/55725627801600], [[[2, 7], [3, 4], [6, 5]], 2676211/15045919506432000], [[[2, 7], [3, 6], [6, 3]], 21841/167176883404800], [[[2, 7], [3, 8], [6, 1]], 1/30091839012864000], [[[2, 7], [4, 2], [6, 7]], 139/14860167413760], [[[2, 7], [4, 3], [8, 3]], 37/905969664], [[[2, 7], [4, 4], [6, 5]], 435751/4458050224128000], [[[2, 7], [4, 6], [6, 3]], 5857/13209037701120], [[[2, 7], [4, 6], [14, 1]], 1/47563407360], [[[2, 7], [4, 6], [18, 1]], 1/183458856960], [[[2, 7], [4, 7], [8, 1]], 1/217432719360], [[[2, 7], [4, 8], [6, 1]], 11357/11095591668940800], [[[2, 7], [5, 2], [6, 5]], 2401/58047528960000], [[[2, 7], [5, 4], [6, 1]], 1/447897600000], [[[2, 7], [6, 1], [8, 4]], 1/25480396800], [[[2, 7], [6, 1], [10, 4]], 1037/89579520000], [[[2, 7], [6, 1], [12, 4]], 23/1547934105600], [[[2, 7], [6, 1], [15, 2]], 1/1119744000], [[[2, 7], [6, 1], [16, 2]], 1/238878720], [[[2, 7], [6, 1], [20, 2]], 1/298598400], [[[2, 7], [6, 1], [24, 2]], 1/238878720], [[[2, 7], [6, 1], [30, 2]], 1/1119744000], [[[2, 7], [6, 1], [40, 1]], 1/24883200], [[[2, 7], [6, 1], [48, 1]], 1/29859840], [[[2, 7], [6, 1], [60, 1]], 1/37324800], [[[2, 7], [6, 3], [10, 3]], 4381/11197440000], [[[2, 7], [6, 3], [12, 3]], 1681/51597803520], [[[2, 7], [6, 3], [14, 2]], 1/24385536], [[[2, 7], [6, 3], [18, 2]], 131/3627970560], [[[2, 7], [6, 5], [8, 2]], 2401/18575209267200], [[[2, 7], [6, 5], [10, 2]], 523393/58047528960000], [[[2, 7], [6, 5], [12, 2]], 175471/27862813900800], [[[2, 7], [6, 5], [15, 1]], 2401/2902376448000], [[[2, 7], [6, 5], [20, 1]], 2401/1934917632000], [[[2, 7], [6, 5], [24, 1]], 2401/2321901158400], [[[2, 7], [6, 5], [30, 1]], 2401/2902376448000], [[[2, 7], [6, 6], [14, 1]], 13/67722117120], [[[2, 7], [6, 6], [18, 1]], 934007/1741425868800], [[[2, 7], [6, 7], [10, 1]], 29/322486272000], [[[2, 7], [6, 7], [12, 1]], 1147/9287604633600], [[[2, 7], [10, 3], [14, 1]], 1/40320000], [[[2, 7], [10, 3], [18, 1]], 1/155520000], [[[2, 7], [14, 1], [18, 2]], 1/1306368], [[[2, 7], [14, 2], [18, 1]], 1/338688], [[[2, 9], [3, 2], [6, 6]], 6288427/124825406275584000], [[[2, 9], [3, 2], [9, 2]], 1/8126654054400], [[[2, 9], [3, 2], [12, 3]], 1/115579079884800], [[[2, 9], [3, 4], [4, 4]], 47251/9986032502046720000], [[[2, 9], [3, 4], [5, 2]], 1/130026464870400000], [[[2, 9], [3, 4], [6, 4]], 4399038611/33702859694407680000], [[[2, 9], [3, 4], [8, 2]], 1/41608468758528000], [[[2, 9], [3, 4], [10, 2]], 145153/130026464870400000], [[[2, 9], [3, 4], [12, 2]], 271/62412703137792000], [[[2, 9], [3, 4], [15, 1]], 1/6501323243520000], [[[2, 9], [3, 4], [20, 1]], 1/4334215495680000], [[[2, 9], [3, 4], [24, 1]], 1/5201058594816000], [[[2, 9], [3, 4], [30, 1]], 1/6501323243520000], [[[2, 9], [3, 5], [9, 1]], 1/11702381838336000], [[[2, 9], [3, 6], [6, 2]], 4481/374476218826752000], [[[2, 9], [3, 6], [12, 1]], 1/62412703137792000], [[[2, 9], [4, 2], [6, 6]], 3223/74300837068800], [[[2, 9], [4, 2], [10, 3]], 1/26542080000], [[[2, 9], [4, 2], [12, 3]], 1/12383472844800], [[[2, 9], [4, 2], [14, 2]], 1/57802752], [[[2, 9], [4, 2], [18, 2]], 1/859963392], [[[2, 9], [4, 2], [28, 1]], 1/78033715200], [[[2, 9], [4, 2], [36, 1]], 1/300987187200], [[[2, 9], [4, 4], [5, 2]], 47251/38526359961600000], [[[2, 9], [4, 4], [6, 4]], 2971676051/9986032502046720000], [[[2, 9], [4, 4], [8, 2]], 10253491/12328435187712000], [[[2, 9], [4, 4], [10, 2]], 192403/38526359961600000], [[[2, 9], [4, 4], [12, 2]], 51091/18492652781568000], [[[2, 9], [4, 4], [15, 1]], 47251/1926317998080000], [[[2, 9], [4, 4], [20, 1]], 1361/36691771392000], [[[2, 9], [4, 4], [24, 1]], 47251/1541054398464000], [[[2, 9], [4, 4], [30, 1]], 47251/1926317998080000], [[[2, 9], [4, 6], [6, 2]], 2719/66045188505600], [[[2, 9], [4, 6], [10, 1]], 1/2038431744000], [[[2, 9], [4, 6], [12, 1]], 141769/13869489586176000], [[[2, 9], [5, 2], [6, 4]], 8108801/130026464870400000], [[[2, 9], [5, 2], [8, 2]], 1/160526499840000], [[[2, 9], [5, 2], [10, 2]], 20779/71663616000000], [[[2, 9], [5, 2], [12, 2]], 1/240789749760000], [[[2, 9], [5, 2], [15, 1]], 1/25082265600000], [[[2, 9], [5, 2], [20, 1]], 1/16721510400000], [[[2, 9], [5, 2], [24, 1]], 1/20065812480000], [[[2, 9], [5, 2], [30, 1]], 1/25082265600000], [[[2, 9], [6, 2], [10, 3]], 1303/22394880000], [[[2, 9], [6, 2], [12, 3]], 4481/115579079884800], [[[2, 9], [6, 2], [14, 2]], 1/8128512], [[[2, 9], [6, 2], [18, 2]], 23147/2708884684800], [[[2, 9], [6, 4], [8, 2]], 8108801/41608468758528000], [[[2, 9], [6, 4], [10, 2]], 3608023553/130026464870400000], [[[2, 9], [6, 4], [12, 2]], 300832271/62412703137792000], [[[2, 9], [6, 4], [15, 1]], 8108801/6501323243520000], [[[2, 9], [6, 4], [20, 1]], 8108801/4334215495680000], [[[2, 9], [6, 4], [24, 1]], 8108801/5201058594816000], [[[2, 9], [6, 4], [30, 1]], 8108801/6501323243520000], [[[2, 9], [6, 5], [14, 1]], 343/386983526400], [[[2, 9], [6, 5], [18, 1]], 399923/433421549568000], [[[2, 9], [6, 6], [10, 1]], 809/1934917632000], [[[2, 9], [6, 6], [12, 1]], 6288427/20804234379264000], [[[2, 9], [8, 2], [10, 2]], 145153/160526499840000], [[[2, 9], [8, 2], [12, 2]], 1/77052719923200], [[[2, 9], [8, 2], [15, 1]], 1/8026324992000], [[[2, 9], [8, 2], [20, 1]], 1/5350883328000], [[[2, 9], [8, 2], [24, 1]], 11/2140353331200], [[[2, 9], [8, 2], [30, 1]], 1/8026324992000], [[[2, 9], [10, 1], [14, 2]], 1/3763200], [[[2, 9], [10, 1], [18, 2]], 1/55987200], [[[2, 9], [10, 2], [12, 2]], 145153/240789749760000], [[[2, 9], [10, 2], [15, 1]], 145153/25082265600000], [[[2, 9], [10, 2], [20, 1]], 145153/16721510400000], [[[2, 9], [10, 2], [24, 1]], 145153/20065812480000], [[[2, 9], [10, 2], [30, 1]], 145153/25082265600000], [[[2, 9], [12, 1], [36, 1]], 1/150493593600], [[[2, 9], [12, 2], [15, 1]], 1/12039487488000], [[[2, 9], [12, 2], [20, 1]], 1/8026324992000], [[[2, 9], [12, 2], [24, 1]], 13/9631589990400], [[[2, 9], [12, 2], [30, 1]], 1/12039487488000], [[[2, 9], [15, 1], [20, 1]], 1/836075520000], [[[2, 9], [15, 1], [24, 1]], 1/1003290624000], [[[2, 9], [15, 1], [30, 1]], 1/78382080000], [[[2, 9], [20, 1], [24, 1]], 1/668860416000], [[[2, 9], [20, 1], [30, 1]], 1/836075520000], [[[2, 9], [24, 1], [30, 1]], 1/1003290624000], [[[2, 11], [3, 2], [6, 5]], 2725337/62412703137792000], [[[2, 11], [3, 4], [6, 3]], 1821931/1685142984720384000], [[[2, 11], [3, 4], [14, 1]], 1/6067901693952000], [[[2, 11], [3, 4], [18, 1]], 1/23404763676672000], [[[2, 11], [3, 6], [6, 1]], 1/187238109413376000], [[[2, 11], [4, 1], [8, 3]], 1/34245653299200], [[[2, 11], [4, 2], [6, 5]], 2758957/41608468758528000], [[[2, 11], [4, 4], [6, 3]], 10335571/499301625102336000], [[[2, 11], [4, 4], [14, 1]], 47251/1797896798208000], [[[2, 11], [4, 4], [18, 1]], 47251/6934744793088000], [[[2, 11], [4, 5], [8, 1]], 47251/8218956791808000], [[[2, 11], [4, 6], [6, 1]], 47321/36985305563136000], [[[2, 11], [5, 2], [6, 3]], 6721/6501323243520000], [[[2, 11], [5, 2], [14, 1]], 1/23410114560000], [[[2, 11], [5, 2], [18, 1]], 1/90296156160000], [[[2, 11], [6, 1], [10, 3]], 29053/10032906240000], [[[2, 11], [6, 1], [12, 3]], 1/57789539942400], [[[2, 11], [6, 1], [14, 2]], 1/975421440], [[[2, 11], [6, 1], [18, 2]], 187/2708884684800], [[[2, 11], [6, 3], [8, 2]], 6721/2080423437926400], [[[2, 11], [6, 3], [10, 2]], 19021633/6501323243520000], [[[2, 11], [6, 3], [12, 2]], 25547/624127031377920], [[[2, 11], [6, 3], [15, 1]], 6721/325066162176000], [[[2, 11], [6, 3], [20, 1]], 6721/216710774784000], [[[2, 11], [6, 3], [24, 1]], 6721/260052929740800], [[[2, 11], [6, 3], [30, 1]], 6721/325066162176000], [[[2, 11], [6, 4], [14, 1]], 8108801/6067901693952000], [[[2, 11], [6, 4], [18, 1]], 310283/866843099136000], [[[2, 11], [6, 5], [10, 1]], 930857/1444738498560000], [[[2, 11], [6, 5], [12, 1]], 2725337/10402117189632000], [[[2, 11], [8, 2], [14, 1]], 1/7491236659200], [[[2, 11], [8, 2], [18, 1]], 1/28894769971200], [[[2, 11], [10, 2], [14, 1]], 145153/23410114560000], [[[2, 11], [10, 2], [18, 1]], 145153/90296156160000], [[[2, 11], [12, 2], [14, 1]], 1/11236854988800], [[[2, 11], [12, 2], [18, 1]], 1/43342154956800], [[[2, 11], [14, 1], [15, 1]], 1/1170505728000], [[[2, 11], [14, 1], [20, 1]], 1/780337152000], [[[2, 11], [14, 1], [24, 1]], 1/936404582400], [[[2, 11], [14, 1], [30, 1]], 1/1170505728000], [[[2, 11], [15, 1], [18, 1]], 1/4514807808000], [[[2, 11], [18, 1], [20, 1]], 1/3009871872000], [[[2, 11], [18, 1], [24, 1]], 1/3611846246400], [[[2, 11], [18, 1], [30, 1]], 1/4514807808000], [[[2, 13], [3, 2], [6, 4]], 499/693474479308800], [[[2, 13], [3, 4], [4, 2]], 1/3994413000818688000], [[[2, 13], [3, 4], [6, 2]], 841/1685142984720384000], [[[2, 13], [3, 4], [10, 1]], 1/260052929740800000], [[[2, 13], [4, 2], [5, 2]], 1/15410543984640000], [[[2, 13], [4, 2], [6, 4]], 4136747/1331471000272896000], [[[2, 13], [4, 2], [8, 2]], 109/4931374075084800], [[[2, 13], [4, 2], [10, 2]], 145153/15410543984640000], [[[2, 13], [4, 2], [12, 2]], 1/7397061112627200], [[[2, 13], [4, 2], [15, 1]], 1/770527199232000], [[[2, 13], [4, 2], [20, 1]], 1/513684799488000], [[[2, 13], [4, 2], [24, 1]], 1/616421759385600], [[[2, 13], [4, 2], [30, 1]], 1/770527199232000], [[[2, 13], [4, 4], [6, 2]], 217921/499301625102336000], [[[2, 13], [4, 4], [10, 1]], 47251/77052719923200000], [[[2, 13], [4, 4], [12, 1]], 1/1849265278156800], [[[2, 13], [5, 2], [6, 2]], 31/6501323243520000], [[[2, 13], [5, 2], [10, 1]], 1/1003290624000000], [[[2, 13], [6, 2], [8, 2]], 31/2080423437926400], [[[2, 13], [6, 2], [10, 2]], 83041/928760463360000], [[[2, 13], [6, 2], [12, 2]], 17/624127031377920], [[[2, 13], [6, 2], [15, 1]], 31/325066162176000], [[[2, 13], [6, 2], [20, 1]], 31/216710774784000], [[[2, 13], [6, 2], [24, 1]], 31/260052929740800], [[[2, 13], [6, 2], [30, 1]], 31/325066162176000], [[[2, 13], [6, 3], [14, 1]], 6721/303395084697600], [[[2, 13], [6, 3], [18, 1]], 323/55725627801600], [[[2, 13], [6, 4], [10, 1]], 1199689/28894769971200000], [[[2, 13], [6, 4], [12, 1]], 499/115579079884800], [[[2, 13], [8, 2], [10, 1]], 1/321052999680000], [[[2, 13], [10, 1], [12, 2]], 1/481579499520000], [[[2, 13], [10, 1], [15, 1]], 1/50164531200000], [[[2, 13], [10, 1], [20, 1]], 1/33443020800000], [[[2, 13], [10, 1], [24, 1]], 1/40131624960000], [[[2, 13], [10, 1], [30, 1]], 1/50164531200000], [[[2, 13], [14, 1], [18, 1]], 1/4213820620800], [[[2, 15], [3, 2], [6, 3]], 827/249650812551168000], [[[2, 15], [3, 4], [6, 1]], 1/67405719388815360000], [[[2, 15], [4, 2], [6, 3]], 857/22191183337881600], [[[2, 15], [4, 2], [14, 1]], 1/719158719283200], [[[2, 15], [4, 2], [18, 1]], 1/2773897917235200], [[[2, 15], [4, 3], [8, 1]], 1/3287582716723200], [[[2, 15], [4, 4], [6, 1]], 6943/2853152143441920000], [[[2, 15], [5, 2], [6, 1]], 1/260052929740800000], [[[2, 15], [6, 1], [8, 2]], 1/83216937517056000], [[[2, 15], [6, 1], [10, 2]], 29549/52010585948160000], [[[2, 15], [6, 1], [12, 2]], 1/124825406275584000], [[[2, 15], [6, 1], [15, 1]], 1/13002646487040000], [[[2, 15], [6, 1], [20, 1]], 1/8668430991360000], [[[2, 15], [6, 1], [24, 1]], 1/10402117189632000], [[[2, 15], [6, 1], [30, 1]], 1/13002646487040000], [[[2, 15], [6, 2], [14, 1]], 31/303395084697600], [[[2, 15], [6, 2], [18, 1]], 23/866843099136000], [[[2, 15], [6, 3], [10, 1]], 2447/4334215495680000], [[[2, 15], [6, 3], [12, 1]], 827/41608468758528000], [[[2, 15], [10, 1], [14, 1]], 1/46820229120000], [[[2, 15], [10, 1], [18, 1]], 1/180592312320000], [[[2, 17], [3, 1], [9, 1]], 1/104853341271490560000], [[[2, 17], [3, 2], [6, 2]], 2987/1118435640229232640000], [[[2, 17], [3, 2], [12, 1]], 1/559217820114616320000], [[[2, 17], [4, 2], [6, 2]], 53/332867750068224000], [[[2, 17], [4, 2], [10, 1]], 1/30821087969280000], [[[2, 17], [4, 2], [12, 1]], 1/139804455028654080000], [[[2, 17], [6, 1], [14, 1]], 1/12135803387904000], [[[2, 17], [6, 1], [18, 1]], 83/3883457084129280000], [[[2, 17], [6, 2], [10, 1]], 1/412782428160000], [[[2, 17], [6, 2], [12, 1]], 2987/186405940038205440000], [[[2, 19], [3, 2], [6, 1]], 1/1677653460343848960000], [[[2, 19], [4, 1], [8, 1]], 1/248541253384273920000], [[[2, 19], [4, 2], [6, 1]], 47/372811880076410880000], [[[2, 19], [6, 1], [10, 1]], 1/517794277883904000], [[[2, 19], [6, 1], [12, 1]], 1/279608910057308160000], [[[1, 1], [2, 2], [3, 1], [5, 5]], 1/86400000], [[[1, 1], [2, 2], [3, 1], [6, 10]], 1/27862813900800], [[[1, 1], [2, 2], [3, 1], [8, 5]], 1/3932160], [[[1, 1], [2, 2], [3, 1], [12, 5]], 23/238878720], [[[1, 1], [2, 2], [3, 2], [6, 9]], 7/6965703475200], [[[1, 1], [2, 2], [3, 2], [9, 3]], 1/419904], [[[1, 1], [2, 2], [3, 3], [4, 8]], 17/92463263907840], [[[1, 1], [2, 2], [3, 3], [5, 4]], 1/3732480000], [[[1, 1], [2, 2], [3, 3], [6, 8]], 1621/250765325107200], [[[1, 1], [2, 2], [3, 3], [8, 4]], 1/212336640], [[[1, 1], [2, 2], [3, 3], [10, 4]], 1/3732480000], [[[1, 1], [2, 2], [3, 3], [12, 4]], 1643/12899450880], [[[1, 1], [2, 2], [3, 3], [15, 2]], 1/9331200], [[[1, 1], [2, 2], [3, 3], [16, 2]], 1/1990656], [[[1, 1], [2, 2], [3, 3], [20, 2]], 1/2488320], [[[1, 1], [2, 2], [3, 3], [24, 2]], 1/1990656], [[[1, 1], [2, 2], [3, 3], [30, 2]], 1/9331200], [[[1, 1], [2, 2], [3, 3], [40, 1]], 1/207360], [[[1, 1], [2, 2], [3, 3], [48, 1]], 1/248832], [[[1, 1], [2, 2], [3, 3], [60, 1]], 1/311040], [[[1, 1], [2, 2], [3, 4], [4, 7]], 17/46231631953920], [[[1, 1], [2, 2], [3, 4], [6, 7]], 82621/94036996915200], [[[1, 1], [2, 2], [3, 5], [5, 3]], 1/11197440000], [[[1, 1], [2, 2], [3, 5], [6, 6]], 81821/13931406950400], [[[1, 1], [2, 2], [3, 5], [8, 3]], 1/2866544640], [[[1, 1], [2, 2], [3, 5], [9, 2]], 7/201553920], [[[1, 1], [2, 2], [3, 5], [12, 3]], 281/4299816960], [[[1, 1], [2, 2], [3, 6], [6, 5]], 81821/10448555212800], [[[1, 1], [2, 2], [3, 7], [4, 4]], 1/37150418534400], [[[1, 1], [2, 2], [3, 7], [5, 2]], 1/483729408000], [[[1, 1], [2, 2], [3, 7], [6, 4]], 82621/125382662553600], [[[1, 1], [2, 2], [3, 7], [8, 2]], 1/154793410560], [[[1, 1], [2, 2], [3, 7], [10, 2]], 1/483729408000], [[[1, 1], [2, 2], [3, 7], [12, 2]], 65/46438023168], [[[1, 1], [2, 2], [3, 7], [15, 1]], 1/24186470400], [[[1, 1], [2, 2], [3, 7], [20, 1]], 1/16124313600], [[[1, 1], [2, 2], [3, 7], [24, 1]], 1/19349176320], [[[1, 1], [2, 2], [3, 7], [30, 1]], 1/24186470400], [[[1, 1], [2, 2], [3, 8], [4, 3]], 1/74300837068800], [[[1, 1], [2, 2], [3, 8], [6, 3]], 1621/188073993830400], [[[1, 1], [2, 2], [3, 8], [7, 1]], 1/2708884684800], [[[1, 1], [2, 2], [3, 8], [9, 1]], 1/42998169600], [[[1, 1], [2, 2], [3, 8], [14, 1]], 1/1354442342400], [[[1, 1], [2, 2], [3, 8], [18, 1]], 1/2612138803200], [[[1, 1], [2, 2], [3, 9], [5, 1]], 1/5804752896000], [[[1, 1], [2, 2], [3, 9], [6, 2]], 7/9287604633600], [[[1, 1], [2, 2], [3, 9], [8, 1]], 1/4643802316800], [[[1, 1], [2, 2], [3, 9], [12, 1]], 7/1547934105600], [[[1, 1], [2, 2], [3, 10], [6, 1]], 1/20897110425600], [[[1, 1], [2, 2], [4, 1], [5, 5]], 1/57600000], [[[1, 1], [2, 2], [4, 1], [8, 5]], 259/94371840], [[[1, 1], [2, 2], [4, 1], [10, 5]], 1/57600000], [[[1, 1], [2, 2], [4, 1], [12, 5]], 7/13271040], [[[1, 1], [2, 2], [4, 2], [6, 9]], 1/55725627801600], [[[1, 1], [2, 2], [4, 3], [5, 4]], 1/1105920000], [[[1, 1], [2, 2], [4, 3], [6, 8]], 1/74300837068800], [[[1, 1], [2, 2], [4, 3], [8, 4]], 163/188743680], [[[1, 1], [2, 2], [4, 3], [10, 4]], 1/1105920000], [[[1, 1], [2, 2], [4, 3], [12, 4]], 7261/1274019840], [[[1, 1], [2, 2], [4, 3], [15, 2]], 1/2764800], [[[1, 1], [2, 2], [4, 3], [16, 2]], 1/589824], [[[1, 1], [2, 2], [4, 3], [20, 2]], 389/3686400], [[[1, 1], [2, 2], [4, 3], [24, 2]], 1/589824], [[[1, 1], [2, 2], [4, 3], [30, 2]], 1/2764800], [[[1, 1], [2, 2], [4, 3], [40, 1]], 1/61440], [[[1, 1], [2, 2], [4, 3], [48, 1]], 1/73728], [[[1, 1], [2, 2], [4, 3], [60, 1]], 1/92160], [[[1, 1], [2, 2], [4, 4], [6, 7]], 1/27862813900800], [[[1, 1], [2, 2], [4, 5], [5, 3]], 1/2211840000], [[[1, 1], [2, 2], [4, 5], [8, 3]], 953/754974720], [[[1, 1], [2, 2], [4, 5], [10, 3]], 1/2211840000], [[[1, 1], [2, 2], [4, 5], [12, 3]], 9073/637009920], [[[1, 1], [2, 2], [4, 5], [28, 1]], 61/5160960], [[[1, 1], [2, 2], [4, 5], [36, 1]], 7/2211840], [[[1, 1], [2, 2], [4, 6], [6, 5]], 1/8255648563200], [[[1, 1], [2, 2], [4, 7], [5, 2]], 17/178362777600], [[[1, 1], [2, 2], [4, 7], [6, 4]], 17/46231631953920], [[[1, 1], [2, 2], [4, 7], [8, 2]], 6133/285380444160], [[[1, 1], [2, 2], [4, 7], [10, 2]], 17/178362777600], [[[1, 1], [2, 2], [4, 7], [12, 2]], 3397/5284823040], [[[1, 1], [2, 2], [4, 7], [15, 1]], 17/8918138880], [[[1, 1], [2, 2], [4, 7], [16, 1]], 1/70778880], [[[1, 1], [2, 2], [4, 7], [20, 1]], 9493/29727129600], [[[1, 1], [2, 2], [4, 7], [24, 1]], 17/7134511104], [[[1, 1], [2, 2], [4, 7], [30, 1]], 17/8918138880], [[[1, 1], [2, 2], [4, 8], [6, 3]], 17/69347447930880], [[[1, 1], [2, 2], [4, 8], [7, 1]], 17/998831554560], [[[1, 1], [2, 2], [4, 8], [9, 1]], 17/1284211998720], [[[1, 1], [2, 2], [4, 8], [14, 1]], 17/499415777280], [[[1, 1], [2, 2], [4, 8], [18, 1]], 17/963158999040], [[[1, 1], [2, 2], [4, 9], [5, 1]], 17/1426902220800], [[[1, 1], [2, 2], [4, 9], [8, 1]], 8999/22830435532800], [[[1, 1], [2, 2], [4, 9], [10, 1]], 17/1426902220800], [[[1, 1], [2, 2], [4, 9], [12, 1]], 3551/1426902220800], [[[1, 1], [2, 2], [4, 10], [6, 1]], 17/20547391979520], [[[1, 1], [2, 2], [5, 2], [6, 7]], 1/362797056000], [[[1, 1], [2, 2], [5, 4], [6, 3]], 1/2799360000], [[[1, 1], [2, 2], [5, 4], [7, 1]], 1/40320000], [[[1, 1], [2, 2], [5, 4], [9, 1]], 1/51840000], [[[1, 1], [2, 2], [5, 4], [14, 1]], 1/20160000], [[[1, 1], [2, 2], [5, 4], [18, 1]], 1/38880000], [[[1, 1], [2, 2], [6, 1], [8, 5]], 1/3932160], [[[1, 1], [2, 2], [6, 1], [10, 5]], 1/43200000], [[[1, 1], [2, 2], [6, 1], [12, 5]], 23/179159040], [[[1, 1], [2, 2], [6, 2], [18, 3]], 31/1259712], [[[1, 1], [2, 2], [6, 2], [54, 1]], 1/648], [[[1, 1], [2, 2], [6, 3], [8, 4]], 1/159252480], [[[1, 1], [2, 2], [6, 3], [10, 4]], 1/2799360000], [[[1, 1], [2, 2], [6, 3], [12, 4]], 1643/9674588160], [[[1, 1], [2, 2], [6, 3], [15, 2]], 1/6998400], [[[1, 1], [2, 2], [6, 3], [16, 2]], 1/1492992], [[[1, 1], [2, 2], [6, 3], [20, 2]], 1/1866240], [[[1, 1], [2, 2], [6, 3], [24, 2]], 1/1492992], [[[1, 1], [2, 2], [6, 3], [30, 2]], 1/6998400], [[[1, 1], [2, 2], [6, 3], [40, 1]], 1/155520], [[[1, 1], [2, 2], [6, 3], [48, 1]], 1/186624], [[[1, 1], [2, 2], [6, 3], [60, 1]], 1/233280], [[[1, 1], [2, 2], [6, 5], [8, 3]], 1/2866544640], [[[1, 1], [2, 2], [6, 5], [10, 3]], 1/5598720000], [[[1, 1], [2, 2], [6, 5], [12, 3]], 281/3224862720], [[[1, 1], [2, 2], [6, 5], [18, 2]], 7/151165440], [[[1, 1], [2, 2], [6, 7], [8, 2]], 1/116095057920], [[[1, 1], [2, 2], [6, 7], [10, 2]], 1/362797056000], [[[1, 1], [2, 2], [6, 7], [12, 2]], 65/34828517376], [[[1, 1], [2, 2], [6, 7], [15, 1]], 1/18139852800], [[[1, 1], [2, 2], [6, 7], [20, 1]], 1/12093235200], [[[1, 1], [2, 2], [6, 7], [24, 1]], 1/14511882240], [[[1, 1], [2, 2], [6, 7], [30, 1]], 1/18139852800], [[[1, 1], [2, 2], [6, 8], [7, 1]], 1/2708884684800], [[[1, 1], [2, 2], [6, 8], [9, 1]], 1/3482851737600], [[[1, 1], [2, 2], [6, 8], [14, 1]], 1/1354442342400], [[[1, 1], [2, 2], [6, 8], [18, 1]], 1/32248627200], [[[1, 1], [2, 2], [6, 9], [8, 1]], 1/4643802316800], [[[1, 1], [2, 2], [6, 9], [10, 1]], 1/2902376448000], [[[1, 1], [2, 2], [6, 9], [12, 1]], 7/1160950579200], [[[1, 1], [2, 2], [7, 1], [8, 4]], 1/2293760], [[[1, 1], [2, 2], [7, 1], [10, 4]], 1/40320000], [[[1, 1], [2, 2], [7, 1], [12, 4]], 23/139345920], [[[1, 1], [2, 2], [7, 1], [15, 2]], 1/100800], [[[1, 1], [2, 2], [7, 1], [16, 2]], 1/21504], [[[1, 1], [2, 2], [7, 1], [20, 2]], 1/26880], [[[1, 1], [2, 2], [7, 1], [24, 2]], 1/21504], [[[1, 1], [2, 2], [7, 1], [30, 2]], 1/100800], [[[1, 1], [2, 2], [7, 1], [40, 1]], 1/2240], [[[1, 1], [2, 2], [7, 1], [48, 1]], 1/2688], [[[1, 1], [2, 2], [7, 1], [60, 1]], 1/3360], [[[1, 1], [2, 2], [8, 4], [9, 1]], 1/2949120], [[[1, 1], [2, 2], [8, 4], [14, 1]], 1/1146880], [[[1, 1], [2, 2], [8, 4], [18, 1]], 1/2211840], [[[1, 1], [2, 2], [9, 1], [10, 4]], 1/51840000], [[[1, 1], [2, 2], [9, 1], [12, 4]], 23/179159040], [[[1, 1], [2, 2], [9, 1], [15, 2]], 1/129600], [[[1, 1], [2, 2], [9, 1], [16, 2]], 1/27648], [[[1, 1], [2, 2], [9, 1], [20, 2]], 1/34560], [[[1, 1], [2, 2], [9, 1], [24, 2]], 1/27648], [[[1, 1], [2, 2], [9, 1], [30, 2]], 1/129600], [[[1, 1], [2, 2], [9, 1], [40, 1]], 1/2880], [[[1, 1], [2, 2], [9, 1], [48, 1]], 1/3456], [[[1, 1], [2, 2], [9, 1], [60, 1]], 1/4320], [[[1, 1], [2, 2], [10, 4], [14, 1]], 1/20160000], [[[1, 1], [2, 2], [10, 4], [18, 1]], 1/38880000], [[[1, 1], [2, 2], [12, 4], [14, 1]], 23/69672960], [[[1, 1], [2, 2], [12, 4], [18, 1]], 23/134369280], [[[1, 1], [2, 2], [14, 1], [15, 2]], 1/50400], [[[1, 1], [2, 2], [14, 1], [16, 2]], 1/10752], [[[1, 1], [2, 2], [14, 1], [20, 2]], 1/13440], [[[1, 1], [2, 2], [14, 1], [24, 2]], 1/10752], [[[1, 1], [2, 2], [14, 1], [30, 2]], 1/50400], [[[1, 1], [2, 2], [14, 1], [40, 1]], 1/1120], [[[1, 1], [2, 2], [14, 1], [48, 1]], 1/1344], [[[1, 1], [2, 2], [14, 1], [60, 1]], 1/1680], [[[1, 1], [2, 2], [15, 2], [18, 1]], 1/97200], [[[1, 1], [2, 2], [16, 2], [18, 1]], 1/20736], [[[1, 1], [2, 2], [18, 1], [20, 2]], 1/25920], [[[1, 1], [2, 2], [18, 1], [24, 2]], 1/20736], [[[1, 1], [2, 2], [18, 1], [30, 2]], 1/97200], [[[1, 1], [2, 2], [18, 1], [40, 1]], 1/2160], [[[1, 1], [2, 2], [18, 1], [48, 1]], 1/2592], [[[1, 1], [2, 2], [18, 1], [60, 1]], 1/3240], [[[1, 1], [2, 4], [3, 1], [4, 9]], 17/20547391979520], [[[1, 1], [2, 4], [3, 1], [6, 9]], 7/4643802316800], [[[1, 1], [2, 4], [3, 2], [6, 8]], 7/278628139008], [[[1, 1], [2, 4], [3, 3], [6, 7]], 973/6269133127680], [[[1, 1], [2, 4], [3, 4], [4, 6]], 13/264180754022400], [[[1, 1], [2, 4], [3, 4], [6, 6]], 1837171/376147987660800], [[[1, 1], [2, 4], [3, 4], [8, 3]], 1/22932357120], [[[1, 1], [2, 4], [3, 4], [10, 3]], 11/223948800000], [[[1, 1], [2, 4], [3, 4], [14, 2]], 1/162570240], [[[1, 1], [2, 4], [3, 4], [18, 2]], 7/7255941120], [[[1, 1], [2, 4], [3, 5], [4, 5]], 1/8255648563200], [[[1, 1], [2, 4], [3, 5], [6, 5]], 90031/6965703475200], [[[1, 1], [2, 4], [3, 6], [6, 4]], 1141/835884417024], [[[1, 1], [2, 4], [3, 7], [6, 3]], 973/6269133127680], [[[1, 1], [2, 4], [3, 7], [14, 1]], 1/22574039040], [[[1, 1], [2, 4], [3, 7], [18, 1]], 1/87071293440], [[[1, 1], [2, 4], [3, 8], [4, 2]], 13/1783220089651200], [[[1, 1], [2, 4], [3, 8], [6, 2]], 3787/250765325107200], [[[1, 1], [2, 4], [3, 8], [8, 1]], 1/37150418534400], [[[1, 1], [2, 4], [3, 8], [10, 1]], 11/116095057920000], [[[1, 1], [2, 4], [3, 9], [4, 1]], 1/55725627801600], [[[1, 1], [2, 4], [3, 9], [6, 1]], 7/4643802316800], [[[1, 1], [2, 4], [4, 1], [6, 9]], 1/18575209267200], [[[1, 1], [2, 4], [4, 2], [5, 4]], 13/26542080000], [[[1, 1], [2, 4], [4, 2], [6, 8]], 1711/594406696550400], [[[1, 1], [2, 4], [4, 2], [8, 4]], 6373/1509949440], [[[1, 1], [2, 4], [4, 2], [10, 4]], 13/26542080000], [[[1, 1], [2, 4], [4, 2], [12, 4]], 299/91729428480], [[[1, 1], [2, 4], [4, 2], [15, 2]], 13/66355200], [[[1, 1], [2, 4], [4, 2], [16, 2]], 13/14155776], [[[1, 1], [2, 4], [4, 2], [20, 2]], 13/17694720], [[[1, 1], [2, 4], [4, 2], [24, 2]], 13/14155776], [[[1, 1], [2, 4], [4, 2], [30, 2]], 13/66355200], [[[1, 1], [2, 4], [4, 2], [40, 1]], 13/1474560], [[[1, 1], [2, 4], [4, 2], [48, 1]], 13/1769472], [[[1, 1], [2, 4], [4, 2], [60, 1]], 13/2211840], [[[1, 1], [2, 4], [4, 3], [6, 7]], 1/1857520926720], [[[1, 1], [2, 4], [4, 4], [6, 6]], 631/111451255603200], [[[1, 1], [2, 4], [4, 4], [8, 3]], 9061/6794772480], [[[1, 1], [2, 4], [4, 4], [10, 3]], 11/66355200000], [[[1, 1], [2, 4], [4, 4], [12, 3]], 91/2293235712], [[[1, 1], [2, 4], [4, 4], [14, 2]], 1/48168960], [[[1, 1], [2, 4], [4, 4], [18, 2]], 7/2149908480], [[[1, 1], [2, 4], [4, 4], [28, 1]], 13/2064384], [[[1, 1], [2, 4], [4, 4], [36, 1]], 13/7962624], [[[1, 1], [2, 4], [4, 5], [6, 5]], 7/917294284800], [[[1, 1], [2, 4], [4, 6], [5, 2]], 13/1019215872000], [[[1, 1], [2, 4], [4, 6], [6, 4]], 2573/264180754022400], [[[1, 1], [2, 4], [4, 6], [8, 2]], 46873/326149079040], [[[1, 1], [2, 4], [4, 6], [10, 2]], 13/1019215872000], [[[1, 1], [2, 4], [4, 6], [12, 2]], 49933/489223618560], [[[1, 1], [2, 4], [4, 6], [15, 1]], 13/50960793600], [[[1, 1], [2, 4], [4, 6], [20, 1]], 1001/6794772480], [[[1, 1], [2, 4], [4, 6], [24, 1]], 13/40768634880], [[[1, 1], [2, 4], [4, 6], [30, 1]], 13/50960793600], [[[1, 1], [2, 4], [4, 7], [6, 3]], 17/2311581597696], [[[1, 1], [2, 4], [4, 7], [14, 1]], 17/8323596288], [[[1, 1], [2, 4], [4, 7], [18, 1]], 17/32105299968], [[[1, 1], [2, 4], [4, 8], [6, 2]], 233/13209037701120], [[[1, 1], [2, 4], [4, 8], [8, 1]], 6137/13698261319680], [[[1, 1], [2, 4], [4, 8], [10, 1]], 187/42807066624000], [[[1, 1], [2, 4], [4, 8], [12, 1]], 247/366917713920], [[[1, 1], [2, 4], [4, 9], [6, 1]], 697/6849130659840], [[[1, 1], [2, 4], [5, 2], [6, 6]], 91/1451188224000], [[[1, 1], [2, 4], [5, 2], [8, 3]], 1/88473600], [[[1, 1], [2, 4], [5, 2], [10, 3]], 3311/864000000], [[[1, 1], [2, 4], [5, 2], [14, 2]], 1/627200], [[[1, 1], [2, 4], [5, 2], [18, 2]], 7/27993600], [[[1, 1], [2, 4], [5, 4], [6, 2]], 7/3732480000], [[[1, 1], [2, 4], [5, 4], [8, 1]], 1/552960000], [[[1, 1], [2, 4], [5, 4], [10, 1]], 11/1728000000], [[[1, 1], [2, 4], [6, 1], [18, 3]], 7/2519424], [[[1, 1], [2, 4], [6, 2], [8, 4]], 7/212336640], [[[1, 1], [2, 4], [6, 2], [10, 4]], 1303/3732480000], [[[1, 1], [2, 4], [6, 2], [12, 4]], 3941/12899450880], [[[1, 1], [2, 4], [6, 2], [15, 2]], 7/9331200], [[[1, 1], [2, 4], [6, 2], [16, 2]], 7/1990656], [[[1, 1], [2, 4], [6, 2], [20, 2]], 7/2488320], [[[1, 1], [2, 4], [6, 2], [24, 2]], 7/1990656], [[[1, 1], [2, 4], [6, 2], [30, 2]], 7/9331200], [[[1, 1], [2, 4], [6, 2], [40, 1]], 7/207360], [[[1, 1], [2, 4], [6, 2], [48, 1]], 7/248832], [[[1, 1], [2, 4], [6, 2], [60, 1]], 7/311040], [[[1, 1], [2, 4], [6, 4], [8, 3]], 161/22932357120], [[[1, 1], [2, 4], [6, 4], [10, 3]], 2011/223948800000], [[[1, 1], [2, 4], [6, 4], [12, 3]], 413/1289945088], [[[1, 1], [2, 4], [6, 4], [14, 2]], 1/162570240], [[[1, 1], [2, 4], [6, 4], [18, 2]], 156269/2418647040], [[[1, 1], [2, 4], [6, 6], [8, 2]], 91/464380231680], [[[1, 1], [2, 4], [6, 6], [10, 2]], 407/290237644800], [[[1, 1], [2, 4], [6, 6], [12, 2]], 13699/696570347520], [[[1, 1], [2, 4], [6, 6], [15, 1]], 91/72559411200], [[[1, 1], [2, 4], [6, 6], [20, 1]], 91/48372940800], [[[1, 1], [2, 4], [6, 6], [24, 1]], 91/58047528960], [[[1, 1], [2, 4], [6, 6], [30, 1]], 91/72559411200], [[[1, 1], [2, 4], [6, 7], [7, 1]], 1/67722117120], [[[1, 1], [2, 4], [6, 7], [9, 1]], 1/87071293440], [[[1, 1], [2, 4], [6, 7], [14, 1]], 1/13544423424], [[[1, 1], [2, 4], [6, 7], [18, 1]], 7/9674588160], [[[1, 1], [2, 4], [6, 8], [8, 1]], 107/12383472844800], [[[1, 1], [2, 4], [6, 8], [10, 1]], 1337/38698352640000], [[[1, 1], [2, 4], [6, 8], [12, 1]], 7/46438023168], [[[1, 1], [2, 4], [8, 1], [10, 4]], 1/552960000], [[[1, 1], [2, 4], [8, 1], [12, 4]], 23/1911029760], [[[1, 1], [2, 4], [8, 1], [15, 2]], 1/1382400], [[[1, 1], [2, 4], [8, 1], [16, 2]], 1/294912], [[[1, 1], [2, 4], [8, 1], [20, 2]], 1/368640], [[[1, 1], [2, 4], [8, 1], [24, 2]], 1/294912], [[[1, 1], [2, 4], [8, 1], [30, 2]], 1/1382400], [[[1, 1], [2, 4], [8, 1], [40, 1]], 1/30720], [[[1, 1], [2, 4], [8, 1], [48, 1]], 1/36864], [[[1, 1], [2, 4], [8, 1], [60, 1]], 1/46080], [[[1, 1], [2, 4], [8, 2], [10, 3]], 11/276480000], [[[1, 1], [2, 4], [8, 2], [14, 2]], 1/200704], [[[1, 1], [2, 4], [8, 2], [18, 2]], 7/8957952], [[[1, 1], [2, 4], [8, 3], [10, 2]], 1/88473600], [[[1, 1], [2, 4], [8, 3], [12, 2]], 1/42467328], [[[1, 1], [2, 4], [8, 3], [15, 1]], 1/4423680], [[[1, 1], [2, 4], [8, 3], [20, 1]], 1/2949120], [[[1, 1], [2, 4], [8, 3], [24, 1]], 11/1179648], [[[1, 1], [2, 4], [8, 3], [30, 1]], 1/4423680], [[[1, 1], [2, 4], [8, 4], [10, 1]], 11/98304000], [[[1, 1], [2, 4], [10, 1], [12, 4]], 253/5971968000], [[[1, 1], [2, 4], [10, 1], [15, 2]], 11/4320000], [[[1, 1], [2, 4], [10, 1], [16, 2]], 11/921600], [[[1, 1], [2, 4], [10, 1], [20, 2]], 11/1152000], [[[1, 1], [2, 4], [10, 1], [24, 2]], 11/921600], [[[1, 1], [2, 4], [10, 1], [30, 2]], 11/4320000], [[[1, 1], [2, 4], [10, 1], [40, 1]], 11/96000], [[[1, 1], [2, 4], [10, 1], [48, 1]], 11/115200], [[[1, 1], [2, 4], [10, 1], [60, 1]], 11/144000], [[[1, 1], [2, 4], [10, 2], [14, 2]], 1/627200], [[[1, 1], [2, 4], [10, 2], [18, 2]], 7/27993600], [[[1, 1], [2, 4], [10, 3], [12, 2]], 11/414720000], [[[1, 1], [2, 4], [10, 3], [15, 1]], 11/43200000], [[[1, 1], [2, 4], [10, 3], [20, 1]], 11/28800000], [[[1, 1], [2, 4], [10, 3], [24, 1]], 11/34560000], [[[1, 1], [2, 4], [10, 3], [30, 1]], 11/43200000], [[[1, 1], [2, 4], [12, 2], [14, 2]], 1/301056], [[[1, 1], [2, 4], [12, 2], [18, 2]], 7/13436928], [[[1, 1], [2, 4], [14, 2], [15, 1]], 1/31360], [[[1, 1], [2, 4], [14, 2], [20, 1]], 3/62720], [[[1, 1], [2, 4], [14, 2], [24, 1]], 1/25088], [[[1, 1], [2, 4], [14, 2], [30, 1]], 1/31360], [[[1, 1], [2, 4], [15, 1], [18, 2]], 7/1399680], [[[1, 1], [2, 4], [18, 2], [20, 1]], 7/933120], [[[1, 1], [2, 4], [18, 2], [24, 1]], 7/1119744], [[[1, 1], [2, 4], [18, 2], [30, 1]], 7/1399680], [[[1, 1], [2, 6], [3, 1], [6, 8]], 1/46438023168], [[[1, 1], [2, 6], [3, 2], [6, 7]], 11479/55725627801600], [[[1, 1], [2, 6], [3, 3], [4, 6]], 1/4403012567040], [[[1, 1], [2, 6], [3, 3], [6, 6]], 1169/1253826625536], [[[1, 1], [2, 6], [3, 3], [10, 3]], 1/3732480000], [[[1, 1], [2, 6], [3, 3], [14, 2]], 1/8128512], [[[1, 1], [2, 6], [3, 3], [18, 2]], 1/120932352], [[[1, 1], [2, 6], [3, 4], [4, 5]], 17/73383542784000], [[[1, 1], [2, 6], [3, 4], [6, 5]], 28971007/15045919506432000], [[[1, 1], [2, 6], [3, 5], [6, 4]], 497/139314069504], [[[1, 1], [2, 6], [3, 6], [6, 3]], 218437/167176883404800], [[[1, 1], [2, 6], [3, 7], [4, 2]], 1/14860167413760], [[[1, 1], [2, 6], [3, 7], [6, 2]], 65/417942208512], [[[1, 1], [2, 6], [3, 7], [10, 1]], 1/967458816000], [[[1, 1], [2, 6], [3, 8], [4, 1]], 1/1486016741376000], [[[1, 1], [2, 6], [3, 8], [6, 1]], 37/30091839012864000], [[[1, 1], [2, 6], [4, 1], [5, 4]], 1/22118400000], [[[1, 1], [2, 6], [4, 1], [6, 8]], 1067/495338913792000], [[[1, 1], [2, 6], [4, 1], [8, 4]], 203/3774873600], [[[1, 1], [2, 6], [4, 1], [10, 4]], 77/4423680000], [[[1, 1], [2, 6], [4, 1], [12, 4]], 23/76441190400], [[[1, 1], [2, 6], [4, 1], [15, 2]], 1/55296000], [[[1, 1], [2, 6], [4, 1], [16, 2]], 1/11796480], [[[1, 1], [2, 6], [4, 1], [20, 2]], 1/14745600], [[[1, 1], [2, 6], [4, 1], [24, 2]], 1/11796480], [[[1, 1], [2, 6], [4, 1], [30, 2]], 1/55296000], [[[1, 1], [2, 6], [4, 1], [40, 1]], 1/1228800], [[[1, 1], [2, 6], [4, 1], [48, 1]], 1/1474560], [[[1, 1], [2, 6], [4, 1], [60, 1]], 1/1843200], [[[1, 1], [2, 6], [4, 2], [6, 7]], 61/928760463360], [[[1, 1], [2, 6], [4, 3], [5, 3]], 1/884736000], [[[1, 1], [2, 6], [4, 3], [6, 6]], 67/1857520926720], [[[1, 1], [2, 6], [4, 3], [8, 3]], 385/301989888], [[[1, 1], [2, 6], [4, 3], [10, 3]], 1/491520000], [[[1, 1], [2, 6], [4, 3], [12, 3]], 49/3822059520], [[[1, 1], [2, 6], [4, 3], [14, 2]], 1/2408448], [[[1, 1], [2, 6], [4, 3], [18, 2]], 1/35831808], [[[1, 1], [2, 6], [4, 3], [28, 1]], 11/10321920], [[[1, 1], [2, 6], [4, 3], [36, 1]], 7/13271040], [[[1, 1], [2, 6], [4, 4], [6, 5]], 1769587/4458050224128000], [[[1, 1], [2, 6], [4, 5], [5, 2]], 17/283115520000], [[[1, 1], [2, 6], [4, 5], [6, 4]], 3739/24461180928000], [[[1, 1], [2, 6], [4, 5], [8, 2]], 2717/90596966400], [[[1, 1], [2, 6], [4, 5], [10, 2]], 3/10485760000], [[[1, 1], [2, 6], [4, 5], [12, 2]], 7697/135895449600], [[[1, 1], [2, 6], [4, 5], [15, 1]], 17/14155776000], [[[1, 1], [2, 6], [4, 5], [16, 1]], 1/28311552], [[[1, 1], [2, 6], [4, 5], [20, 1]], 727/5662310400], [[[1, 1], [2, 6], [4, 5], [24, 1]], 17/11324620800], [[[1, 1], [2, 6], [4, 5], [30, 1]], 17/14155776000], [[[1, 1], [2, 6], [4, 6], [6, 3]], 403/825564856320], [[[1, 1], [2, 6], [4, 6], [7, 1]], 1/47563407360], [[[1, 1], [2, 6], [4, 6], [9, 1]], 1/61152952320], [[[1, 1], [2, 6], [4, 6], [14, 1]], 1/3397386240], [[[1, 1], [2, 6], [4, 6], [18, 1]], 1/11466178560], [[[1, 1], [2, 6], [4, 7], [5, 1]], 1/67947724800], [[[1, 1], [2, 6], [4, 7], [6, 2]], 4243/3852635996160], [[[1, 1], [2, 6], [4, 7], [8, 1]], 43/43486543872], [[[1, 1], [2, 6], [4, 7], [10, 1]], 89/1426902220800], [[[1, 1], [2, 6], [4, 7], [12, 1]], 1313/611529523200], [[[1, 1], [2, 6], [4, 8], [6, 1]], 148049/11095591668940800], [[[1, 1], [2, 6], [5, 2], [6, 5]], 24037/58047528960000], [[[1, 1], [2, 6], [5, 4], [6, 1]], 37/447897600000], [[[1, 1], [2, 6], [6, 1], [8, 4]], 37/25480396800], [[[1, 1], [2, 6], [6, 1], [10, 4]], 12449/89579520000], [[[1, 1], [2, 6], [6, 1], [12, 4]], 851/1547934105600], [[[1, 1], [2, 6], [6, 1], [15, 2]], 37/1119744000], [[[1, 1], [2, 6], [6, 1], [16, 2]], 37/238878720], [[[1, 1], [2, 6], [6, 1], [20, 2]], 37/298598400], [[[1, 1], [2, 6], [6, 1], [24, 2]], 37/238878720], [[[1, 1], [2, 6], [6, 1], [30, 2]], 37/1119744000], [[[1, 1], [2, 6], [6, 1], [40, 1]], 37/24883200], [[[1, 1], [2, 6], [6, 1], [48, 1]], 37/29859840], [[[1, 1], [2, 6], [6, 1], [60, 1]], 37/37324800], [[[1, 1], [2, 6], [6, 3], [8, 3]], 25/1146617856], [[[1, 1], [2, 6], [6, 3], [10, 3]], 8887/5598720000], [[[1, 1], [2, 6], [6, 3], [12, 3]], 16837/51597803520], [[[1, 1], [2, 6], [6, 3], [14, 2]], 1/4064256], [[[1, 1], [2, 6], [6, 3], [18, 2]], 1337/3627970560], [[[1, 1], [2, 6], [6, 5], [8, 2]], 24037/18575209267200], [[[1, 1], [2, 6], [6, 5], [10, 2]], 3165541/58047528960000], [[[1, 1], [2, 6], [6, 5], [12, 2]], 1762027/27862813900800], [[[1, 1], [2, 6], [6, 5], [15, 1]], 24037/2902376448000], [[[1, 1], [2, 6], [6, 5], [20, 1]], 24037/1934917632000], [[[1, 1], [2, 6], [6, 5], [24, 1]], 24037/2321901158400], [[[1, 1], [2, 6], [6, 5], [30, 1]], 24037/2902376448000], [[[1, 1], [2, 6], [6, 6], [7, 1]], 13/67722117120], [[[1, 1], [2, 6], [6, 6], [9, 1]], 13/87071293440], [[[1, 1], [2, 6], [6, 6], [14, 1]], 13/8465264640], [[[1, 1], [2, 6], [6, 6], [18, 1]], 941999/1741425868800], [[[1, 1], [2, 6], [6, 7], [8, 1]], 7/61917364224], [[[1, 1], [2, 6], [6, 7], [10, 1]], 349/483729408000], [[[1, 1], [2, 6], [6, 7], [12, 1]], 11479/9287604633600], [[[1, 1], [2, 6], [7, 1], [10, 3]], 1/40320000], [[[1, 1], [2, 6], [7, 1], [14, 2]], 1/87808], [[[1, 1], [2, 6], [7, 1], [18, 2]], 1/1306368], [[[1, 1], [2, 6], [8, 3], [14, 1]], 1/4128768], [[[1, 1], [2, 6], [8, 3], [18, 1]], 1/15925248], [[[1, 1], [2, 6], [9, 1], [10, 3]], 1/51840000], [[[1, 1], [2, 6], [9, 1], [14, 2]], 1/112896], [[[1, 1], [2, 6], [9, 1], [18, 2]], 1/1679616], [[[1, 1], [2, 6], [10, 3], [14, 1]], 1/3360000], [[[1, 1], [2, 6], [10, 3], [18, 1]], 7/77760000], [[[1, 1], [2, 6], [14, 1], [18, 2]], 1/163296], [[[1, 1], [2, 6], [14, 2], [18, 1]], 1/56448], [[[1, 1], [2, 8], [3, 1], [4, 7]], 1/978447237120], [[[1, 1], [2, 8], [3, 1], [6, 7]], 1874269/65013232435200], [[[1, 1], [2, 8], [3, 2], [6, 6]], 82193107/124825406275584000], [[[1, 1], [2, 8], [3, 2], [9, 2]], 121/8126654054400], [[[1, 1], [2, 8], [3, 2], [12, 3]], 121/115579079884800], [[[1, 1], [2, 8], [3, 3], [6, 5]], 521611/250765325107200], [[[1, 1], [2, 8], [3, 4], [4, 4]], 1181371/9986032502046720000], [[[1, 1], [2, 8], [3, 4], [5, 2]], 121/130026464870400000], [[[1, 1], [2, 8], [3, 4], [6, 4]], 58177323131/33702859694407680000], [[[1, 1], [2, 8], [3, 4], [8, 2]], 121/41608468758528000], [[[1, 1], [2, 8], [3, 4], [10, 2]], 3048313/130026464870400000], [[[1, 1], [2, 8], [3, 4], [12, 2]], 32791/62412703137792000], [[[1, 1], [2, 8], [3, 4], [15, 1]], 121/6501323243520000], [[[1, 1], [2, 8], [3, 4], [20, 1]], 121/4334215495680000], [[[1, 1], [2, 8], [3, 4], [24, 1]], 121/5201058594816000], [[[1, 1], [2, 8], [3, 4], [30, 1]], 121/6501323243520000], [[[1, 1], [2, 8], [3, 5], [4, 3]], 1/3302259425280], [[[1, 1], [2, 8], [3, 5], [6, 3]], 67451/27862813900800], [[[1, 1], [2, 8], [3, 5], [9, 1]], 121/11702381838336000], [[[1, 1], [2, 8], [3, 6], [6, 2]], 179321/374476218826752000], [[[1, 1], [2, 8], [3, 6], [12, 1]], 121/62412703137792000], [[[1, 1], [2, 8], [3, 7], [6, 1]], 1/250765325107200], [[[1, 1], [2, 8], [4, 1], [6, 7]], 347/12383472844800], [[[1, 1], [2, 8], [4, 2], [6, 6]], 32461/74300837068800], [[[1, 1], [2, 8], [4, 2], [8, 3]], 563/13589544960], [[[1, 1], [2, 8], [4, 2], [10, 3]], 23/26542080000], [[[1, 1], [2, 8], [4, 2], [12, 3]], 121/12383472844800], [[[1, 1], [2, 8], [4, 2], [14, 2]], 5/19267584], [[[1, 1], [2, 8], [4, 2], [18, 2]], 19/859963392], [[[1, 1], [2, 8], [4, 2], [28, 1]], 121/78033715200], [[[1, 1], [2, 8], [4, 2], [36, 1]], 121/300987187200], [[[1, 1], [2, 8], [4, 3], [6, 5]], 91391/148601674137600], [[[1, 1], [2, 8], [4, 4], [5, 2]], 1181371/38526359961600000], [[[1, 1], [2, 8], [4, 4], [6, 4]], 21396765371/9986032502046720000], [[[1, 1], [2, 8], [4, 4], [8, 2]], 338008411/12328435187712000], [[[1, 1], [2, 8], [4, 4], [10, 2]], 4229563/38526359961600000], [[[1, 1], [2, 8], [4, 4], [12, 2]], 1646011/18492652781568000], [[[1, 1], [2, 8], [4, 4], [15, 1]], 1181371/1926317998080000], [[[1, 1], [2, 8], [4, 4], [20, 1]], 35081/36691771392000], [[[1, 1], [2, 8], [4, 4], [24, 1]], 1181371/1541054398464000], [[[1, 1], [2, 8], [4, 4], [30, 1]], 1181371/1926317998080000], [[[1, 1], [2, 8], [4, 5], [6, 3]], 16097/3669177139200], [[[1, 1], [2, 8], [4, 5], [14, 1]], 17/13212057600], [[[1, 1], [2, 8], [4, 5], [18, 1]], 17/50960793600], [[[1, 1], [2, 8], [4, 6], [6, 2]], 35533/66045188505600], [[[1, 1], [2, 8], [4, 6], [8, 1]], 923/3261490790400], [[[1, 1], [2, 8], [4, 6], [10, 1]], 23/2038431744000], [[[1, 1], [2, 8], [4, 6], [12, 1]], 3546049/13869489586176000], [[[1, 1], [2, 8], [4, 7], [6, 1]], 60839/924632639078400], [[[1, 1], [2, 8], [5, 2], [6, 4]], 106624121/130026464870400000], [[[1, 1], [2, 8], [5, 2], [8, 2]], 121/160526499840000], [[[1, 1], [2, 8], [5, 2], [10, 2]], 440659/71663616000000], [[[1, 1], [2, 8], [5, 2], [12, 2]], 121/240789749760000], [[[1, 1], [2, 8], [5, 2], [15, 1]], 121/25082265600000], [[[1, 1], [2, 8], [5, 2], [20, 1]], 121/16721510400000], [[[1, 1], [2, 8], [5, 2], [24, 1]], 121/20065812480000], [[[1, 1], [2, 8], [5, 2], [30, 1]], 121/25082265600000], [[[1, 1], [2, 8], [6, 2], [8, 3]], 1/358318080], [[[1, 1], [2, 8], [6, 2], [10, 3]], 4247/5598720000], [[[1, 1], [2, 8], [6, 2], [12, 3]], 179321/115579079884800], [[[1, 1], [2, 8], [6, 2], [14, 2]], 1/903168], [[[1, 1], [2, 8], [6, 2], [18, 2]], 321107/2708884684800], [[[1, 1], [2, 8], [6, 4], [8, 2]], 106624121/41608468758528000], [[[1, 1], [2, 8], [6, 4], [10, 2]], 33204328313/130026464870400000], [[[1, 1], [2, 8], [6, 4], [12, 2]], 3977376791/62412703137792000], [[[1, 1], [2, 8], [6, 4], [15, 1]], 106624121/6501323243520000], [[[1, 1], [2, 8], [6, 4], [20, 1]], 106624121/4334215495680000], [[[1, 1], [2, 8], [6, 4], [24, 1]], 106624121/5201058594816000], [[[1, 1], [2, 8], [6, 4], [30, 1]], 106624121/6501323243520000], [[[1, 1], [2, 8], [6, 5], [7, 1]], 343/386983526400], [[[1, 1], [2, 8], [6, 5], [9, 1]], 2401/3482851737600], [[[1, 1], [2, 8], [6, 5], [14, 1]], 13219/1354442342400], [[[1, 1], [2, 8], [6, 5], [18, 1]], 5244923/433421549568000], [[[1, 1], [2, 8], [6, 6], [8, 1]], 137/257989017600], [[[1, 1], [2, 8], [6, 6], [10, 1]], 7/1511654400], [[[1, 1], [2, 8], [6, 6], [12, 1]], 82193107/20804234379264000], [[[1, 1], [2, 8], [8, 1], [10, 3]], 1/552960000], [[[1, 1], [2, 8], [8, 1], [14, 2]], 1/1204224], [[[1, 1], [2, 8], [8, 1], [18, 2]], 1/17915904], [[[1, 1], [2, 8], [8, 2], [10, 2]], 3048313/160526499840000], [[[1, 1], [2, 8], [8, 2], [12, 2]], 121/77052719923200], [[[1, 1], [2, 8], [8, 2], [15, 1]], 121/8026324992000], [[[1, 1], [2, 8], [8, 2], [20, 1]], 121/5350883328000], [[[1, 1], [2, 8], [8, 2], [24, 1]], 1331/2140353331200], [[[1, 1], [2, 8], [8, 2], [30, 1]], 121/8026324992000], [[[1, 1], [2, 8], [8, 3], [10, 1]], 1/176947200], [[[1, 1], [2, 8], [10, 1], [14, 2]], 13/3763200], [[[1, 1], [2, 8], [10, 1], [18, 2]], 17/55987200], [[[1, 1], [2, 8], [10, 2], [12, 2]], 3048313/240789749760000], [[[1, 1], [2, 8], [10, 2], [15, 1]], 3048313/25082265600000], [[[1, 1], [2, 8], [10, 2], [20, 1]], 3048313/16721510400000], [[[1, 1], [2, 8], [10, 2], [24, 1]], 3048313/20065812480000], [[[1, 1], [2, 8], [10, 2], [30, 1]], 3048313/25082265600000], [[[1, 1], [2, 8], [12, 1], [36, 1]], 121/150493593600], [[[1, 1], [2, 8], [12, 2], [15, 1]], 121/12039487488000], [[[1, 1], [2, 8], [12, 2], [20, 1]], 121/8026324992000], [[[1, 1], [2, 8], [12, 2], [24, 1]], 1573/9631589990400], [[[1, 1], [2, 8], [12, 2], [30, 1]], 121/12039487488000], [[[1, 1], [2, 8], [15, 1], [20, 1]], 121/836075520000], [[[1, 1], [2, 8], [15, 1], [24, 1]], 121/1003290624000], [[[1, 1], [2, 8], [15, 1], [30, 1]], 121/78382080000], [[[1, 1], [2, 8], [20, 1], [24, 1]], 121/668860416000], [[[1, 1], [2, 8], [20, 1], [30, 1]], 121/836075520000], [[[1, 1], [2, 8], [24, 1], [30, 1]], 121/1003290624000], [[[1, 1], [2, 10], [3, 1], [5, 3]], 1/50164531200000], [[[1, 1], [2, 10], [3, 1], [6, 6]], 6288427/20804234379264000], [[[1, 1], [2, 10], [3, 1], [8, 3]], 1/12842119987200], [[[1, 1], [2, 10], [3, 1], [9, 2]], 1/2708884684800], [[[1, 1], [2, 10], [3, 1], [12, 3]], 1/19263179980800], [[[1, 1], [2, 10], [3, 2], [6, 5]], 11153447/15603175784448000], [[[1, 1], [2, 10], [3, 3], [4, 4]], 47251/166433875034112000], [[[1, 1], [2, 10], [3, 3], [5, 2]], 1/2167107747840000], [[[1, 1], [2, 10], [3, 3], [6, 4]], 886279211/561714328240128000], [[[1, 1], [2, 10], [3, 3], [8, 2]], 1/693474479308800], [[[1, 1], [2, 10], [3, 3], [10, 2]], 145153/2167107747840000], [[[1, 1], [2, 10], [3, 3], [12, 2]], 11/208042343792640], [[[1, 1], [2, 10], [3, 3], [15, 1]], 1/108355387392000], [[[1, 1], [2, 10], [3, 3], [20, 1]], 1/72236924928000], [[[1, 1], [2, 10], [3, 3], [24, 1]], 1/86684309913600], [[[1, 1], [2, 10], [3, 3], [30, 1]], 1/108355387392000], [[[1, 1], [2, 10], [3, 4], [4, 3]], 1891/166433875034112000], [[[1, 1], [2, 10], [3, 4], [6, 3]], 19602181/421285746180096000], [[[1, 1], [2, 10], [3, 4], [7, 1]], 1/6067901693952000], [[[1, 1], [2, 10], [3, 4], [9, 1]], 41/7801587892224000], [[[1, 1], [2, 10], [3, 4], [14, 1]], 61/3033950846976000], [[[1, 1], [2, 10], [3, 4], [18, 1]], 31/5851190919168000], [[[1, 1], [2, 10], [3, 5], [5, 1]], 1/13002646487040000], [[[1, 1], [2, 10], [3, 5], [6, 2]], 49291/62412703137792000], [[[1, 1], [2, 10], [3, 5], [8, 1]], 1/10402117189632000], [[[1, 1], [2, 10], [3, 5], [12, 1]], 11/10402117189632000], [[[1, 1], [2, 10], [3, 6], [6, 1]], 31/46809527353344000], [[[1, 1], [2, 10], [4, 1], [5, 3]], 1/33443020800000], [[[1, 1], [2, 10], [4, 1], [6, 6]], 107/825564856320], [[[1, 1], [2, 10], [4, 1], [8, 3]], 7/1630745395200], [[[1, 1], [2, 10], [4, 1], [10, 3]], 29333/6688604160000], [[[1, 1], [2, 10], [4, 1], [12, 3]], 1/4127824281600], [[[1, 1], [2, 10], [4, 1], [14, 2]], 1/48168960], [[[1, 1], [2, 10], [4, 1], [18, 2]], 1/716636160], [[[1, 1], [2, 10], [4, 1], [28, 1]], 1/78033715200], [[[1, 1], [2, 10], [4, 1], [36, 1]], 1/100329062400], [[[1, 1], [2, 10], [4, 2], [6, 5]], 36774517/41608468758528000], [[[1, 1], [2, 10], [4, 3], [5, 2]], 1891/642105999360000], [[[1, 1], [2, 10], [4, 3], [6, 4]], 302648291/166433875034112000], [[[1, 1], [2, 10], [4, 3], [8, 2]], 45637/29353417113600], [[[1, 1], [2, 10], [4, 3], [10, 2]], 509923/642105999360000], [[[1, 1], [2, 10], [4, 3], [12, 2]], 13/1761205026816], [[[1, 1], [2, 10], [4, 3], [15, 1]], 1891/32105299968000], [[[1, 1], [2, 10], [4, 3], [16, 1]], 1/1070176665600], [[[1, 1], [2, 10], [4, 3], [20, 1]], 391/4280706662400], [[[1, 1], [2, 10], [4, 3], [24, 1]], 1891/25684239974400], [[[1, 1], [2, 10], [4, 3], [30, 1]], 1891/32105299968000], [[[1, 1], [2, 10], [4, 4], [6, 3]], 54683821/124825406275584000], [[[1, 1], [2, 10], [4, 4], [7, 1]], 47251/1797896798208000], [[[1, 1], [2, 10], [4, 4], [9, 1]], 47251/2311581597696000], [[[1, 1], [2, 10], [4, 4], [14, 1]], 614311/898948399104000], [[[1, 1], [2, 10], [4, 4], [18, 1]], 330781/1733686198272000], [[[1, 1], [2, 10], [4, 5], [5, 1]], 47251/2568423997440000], [[[1, 1], [2, 10], [4, 5], [6, 2]], 229/733835427840], [[[1, 1], [2, 10], [4, 5], [8, 1]], 1654073/8218956791808000], [[[1, 1], [2, 10], [4, 5], [10, 1]], 124363/2568423997440000], [[[1, 1], [2, 10], [4, 5], [12, 1]], 17027/308210879692800], [[[1, 1], [2, 10], [4, 6], [6, 1]], 1184801/36985305563136000], [[[1, 1], [2, 10], [5, 2], [6, 3]], 72271/1625330810880000], [[[1, 1], [2, 10], [5, 2], [7, 1]], 1/23410114560000], [[[1, 1], [2, 10], [5, 2], [9, 1]], 1/30098718720000], [[[1, 1], [2, 10], [5, 2], [14, 1]], 61/11705057280000], [[[1, 1], [2, 10], [5, 2], [18, 1]], 31/22574039040000], [[[1, 1], [2, 10], [6, 1], [8, 3]], 281/12842119987200], [[[1, 1], [2, 10], [6, 1], [10, 3]], 319873/5016453120000], [[[1, 1], [2, 10], [6, 1], [12, 3]], 31/14447384985600], [[[1, 1], [2, 10], [6, 1], [14, 2]], 13/325140480], [[[1, 1], [2, 10], [6, 1], [18, 2]], 2017/677221171200], [[[1, 1], [2, 10], [6, 3], [8, 2]], 72271/520105859481600], [[[1, 1], [2, 10], [6, 3], [10, 2]], 93477583/1625330810880000], [[[1, 1], [2, 10], [6, 3], [12, 2]], 274853/156031757844480], [[[1, 1], [2, 10], [6, 3], [15, 1]], 72271/81266540544000], [[[1, 1], [2, 10], [6, 3], [20, 1]], 72271/54177693696000], [[[1, 1], [2, 10], [6, 3], [24, 1]], 72271/65013232435200], [[[1, 1], [2, 10], [6, 3], [30, 1]], 72271/81266540544000], [[[1, 1], [2, 10], [6, 4], [7, 1]], 8108801/6067901693952000], [[[1, 1], [2, 10], [6, 4], [9, 1]], 8108801/7801587892224000], [[[1, 1], [2, 10], [6, 4], [14, 1]], 57366461/3033950846976000], [[[1, 1], [2, 10], [6, 4], [18, 1]], 1319573/216710774784000], [[[1, 1], [2, 10], [6, 5], [8, 1]], 2927027/3467372396544000], [[[1, 1], [2, 10], [6, 5], [10, 1]], 20019031/2167107747840000], [[[1, 1], [2, 10], [6, 5], [12, 1]], 11153447/2600529297408000], [[[1, 1], [2, 10], [7, 1], [8, 2]], 1/7491236659200], [[[1, 1], [2, 10], [7, 1], [10, 2]], 145153/23410114560000], [[[1, 1], [2, 10], [7, 1], [12, 2]], 1/11236854988800], [[[1, 1], [2, 10], [7, 1], [15, 1]], 1/1170505728000], [[[1, 1], [2, 10], [7, 1], [20, 1]], 1/780337152000], [[[1, 1], [2, 10], [7, 1], [24, 1]], 1/936404582400], [[[1, 1], [2, 10], [7, 1], [30, 1]], 1/1170505728000], [[[1, 1], [2, 10], [8, 2], [9, 1]], 1/9631589990400], [[[1, 1], [2, 10], [8, 2], [14, 1]], 61/3745618329600], [[[1, 1], [2, 10], [8, 2], [18, 1]], 31/7223692492800], [[[1, 1], [2, 10], [9, 1], [10, 2]], 145153/30098718720000], [[[1, 1], [2, 10], [9, 1], [12, 2]], 1/14447384985600], [[[1, 1], [2, 10], [9, 1], [15, 1]], 1/1504935936000], [[[1, 1], [2, 10], [9, 1], [20, 1]], 1/1003290624000], [[[1, 1], [2, 10], [9, 1], [24, 1]], 1/1203948748800], [[[1, 1], [2, 10], [9, 1], [30, 1]], 1/1504935936000], [[[1, 1], [2, 10], [10, 2], [14, 1]], 1596733/11705057280000], [[[1, 1], [2, 10], [10, 2], [18, 1]], 870943/22574039040000], [[[1, 1], [2, 10], [12, 2], [14, 1]], 61/5618427494400], [[[1, 1], [2, 10], [12, 2], [18, 1]], 31/10835538739200], [[[1, 1], [2, 10], [14, 1], [15, 1]], 61/585252864000], [[[1, 1], [2, 10], [14, 1], [20, 1]], 61/390168576000], [[[1, 1], [2, 10], [14, 1], [24, 1]], 61/468202291200], [[[1, 1], [2, 10], [14, 1], [30, 1]], 61/585252864000], [[[1, 1], [2, 10], [15, 1], [18, 1]], 31/1128701952000], [[[1, 1], [2, 10], [18, 1], [20, 1]], 31/752467968000], [[[1, 1], [2, 10], [18, 1], [24, 1]], 31/902961561600], [[[1, 1], [2, 10], [18, 1], [30, 1]], 31/1128701952000], [[[1, 1], [2, 12], [3, 1], [4, 5]], 47251/36985305563136000], [[[1, 1], [2, 12], [3, 1], [6, 5]], 2725337/10402117189632000], [[[1, 1], [2, 12], [3, 2], [6, 4]], 22997/693474479308800], [[[1, 1], [2, 12], [3, 3], [6, 3]], 369763/28085716412006400], [[[1, 1], [2, 12], [3, 3], [14, 1]], 1/101131694899200], [[[1, 1], [2, 12], [3, 3], [18, 1]], 1/390079394611200], [[[1, 1], [2, 12], [3, 4], [4, 2]], 19/570630428688384000], [[[1, 1], [2, 12], [3, 4], [6, 2]], 21059/337028596944076800], [[[1, 1], [2, 12], [3, 4], [8, 1]], 1/83216937517056000], [[[1, 1], [2, 12], [3, 4], [10, 1]], 131/260052929740800000], [[[1, 1], [2, 12], [3, 5], [4, 1]], 1/124825406275584000], [[[1, 1], [2, 12], [3, 5], [6, 1]], 11/31206351568896000], [[[1, 1], [2, 12], [4, 1], [6, 5]], 2725343/13869489586176000], [[[1, 1], [2, 12], [4, 2], [5, 2]], 19/2201506283520000], [[[1, 1], [2, 12], [4, 2], [6, 4]], 129647831/1331471000272896000], [[[1, 1], [2, 12], [4, 2], [8, 2]], 15361/4931374075084800], [[[1, 1], [2, 12], [4, 2], [10, 2]], 684307/2201506283520000], [[[1, 1], [2, 12], [4, 2], [12, 2]], 19/1056723016089600], [[[1, 1], [2, 12], [4, 2], [15, 1]], 19/110075314176000], [[[1, 1], [2, 12], [4, 2], [20, 1]], 19/73383542784000], [[[1, 1], [2, 12], [4, 2], [24, 1]], 19/88060251340800], [[[1, 1], [2, 12], [4, 2], [30, 1]], 19/110075314176000], [[[1, 1], [2, 12], [4, 3], [6, 3]], 764611/8321693751705600], [[[1, 1], [2, 12], [4, 3], [14, 1]], 1891/29964946636800], [[[1, 1], [2, 12], [4, 3], [18, 1]], 1891/115579079884800], [[[1, 1], [2, 12], [4, 4], [6, 2]], 1633283/99860325020467200], [[[1, 1], [2, 12], [4, 4], [8, 1]], 387631/24656870375424000], [[[1, 1], [2, 12], [4, 4], [10, 1]], 1653881/77052719923200000], [[[1, 1], [2, 12], [4, 4], [12, 1]], 19/264180754022400], [[[1, 1], [2, 12], [4, 5], [6, 1]], 1373/195689447424000], [[[1, 1], [2, 12], [5, 2], [6, 2]], 97/260052929740800], [[[1, 1], [2, 12], [5, 2], [8, 1]], 1/321052999680000], [[[1, 1], [2, 12], [5, 2], [10, 1]], 131/1003290624000000], [[[1, 1], [2, 12], [6, 2], [8, 2]], 97/83216937517056], [[[1, 1], [2, 12], [6, 2], [10, 2]], 18806737/6501323243520000], [[[1, 1], [2, 12], [6, 2], [12, 2]], 9283/3120635156889600], [[[1, 1], [2, 12], [6, 2], [15, 1]], 97/13002646487040], [[[1, 1], [2, 12], [6, 2], [20, 1]], 97/8668430991360], [[[1, 1], [2, 12], [6, 2], [24, 1]], 97/10402117189632], [[[1, 1], [2, 12], [6, 2], [30, 1]], 97/13002646487040], [[[1, 1], [2, 12], [6, 3], [7, 1]], 6721/303395084697600], [[[1, 1], [2, 12], [6, 3], [9, 1]], 6721/390079394611200], [[[1, 1], [2, 12], [6, 3], [14, 1]], 59161/60679016939520], [[[1, 1], [2, 12], [6, 3], [18, 1]], 14957/55725627801600], [[[1, 1], [2, 12], [6, 4], [8, 1]], 437341/3962711310336000], [[[1, 1], [2, 12], [6, 4], [10, 1]], 102011377/86684309913600000], [[[1, 1], [2, 12], [6, 4], [12, 1]], 22997/115579079884800], [[[1, 1], [2, 12], [7, 1], [14, 1]], 1/1092472012800], [[[1, 1], [2, 12], [7, 1], [18, 1]], 1/4213820620800], [[[1, 1], [2, 12], [8, 1], [10, 2]], 145153/321052999680000], [[[1, 1], [2, 12], [8, 1], [12, 2]], 1/154105439846400], [[[1, 1], [2, 12], [8, 1], [15, 1]], 1/16052649984000], [[[1, 1], [2, 12], [8, 1], [20, 1]], 1/10701766656000], [[[1, 1], [2, 12], [8, 1], [24, 1]], 1/12842119987200], [[[1, 1], [2, 12], [8, 1], [30, 1]], 1/16052649984000], [[[1, 1], [2, 12], [8, 2], [10, 1]], 131/321052999680000], [[[1, 1], [2, 12], [9, 1], [14, 1]], 1/1404606873600], [[[1, 1], [2, 12], [9, 1], [18, 1]], 1/5417769369600], [[[1, 1], [2, 12], [10, 1], [12, 2]], 131/481579499520000], [[[1, 1], [2, 12], [10, 1], [15, 1]], 131/50164531200000], [[[1, 1], [2, 12], [10, 1], [20, 1]], 131/33443020800000], [[[1, 1], [2, 12], [10, 1], [24, 1]], 131/40131624960000], [[[1, 1], [2, 12], [10, 1], [30, 1]], 131/50164531200000], [[[1, 1], [2, 12], [14, 1], [18, 1]], 5/168552824832], [[[1, 1], [2, 14], [3, 1], [6, 4]], 499/115579079884800], [[[1, 1], [2, 14], [3, 2], [6, 3]], 67199/249650812551168000], [[[1, 1], [2, 14], [3, 3], [4, 2]], 1/66573550013644800], [[[1, 1], [2, 14], [3, 3], [6, 2]], 193/28085716412006400], [[[1, 1], [2, 14], [3, 3], [10, 1]], 1/4334215495680000], [[[1, 1], [2, 14], [3, 4], [4, 1]], 1/3328677500682240000], [[[1, 1], [2, 14], [3, 4], [6, 1]], 157/67405719388815360000], [[[1, 1], [2, 14], [4, 1], [5, 2]], 1/12842119987200000], [[[1, 1], [2, 14], [4, 1], [6, 4]], 6287467/1109559166894080000], [[[1, 1], [2, 14], [4, 1], [8, 2]], 61/4109478395904000], [[[1, 1], [2, 14], [4, 1], [10, 2]], 29069/2568423997440000], [[[1, 1], [2, 14], [4, 1], [12, 2]], 1/6164217593856000], [[[1, 1], [2, 14], [4, 1], [15, 1]], 1/642105999360000], [[[1, 1], [2, 14], [4, 1], [20, 1]], 1/428070666240000], [[[1, 1], [2, 14], [4, 1], [24, 1]], 1/513684799488000], [[[1, 1], [2, 14], [4, 1], [30, 1]], 1/642105999360000], [[[1, 1], [2, 14], [4, 2], [6, 3]], 2071/924632639078400], [[[1, 1], [2, 14], [4, 2], [7, 1]], 1/719158719283200], [[[1, 1], [2, 14], [4, 2], [9, 1]], 1/924632639078400], [[[1, 1], [2, 14], [4, 2], [14, 1]], 67/359579359641600], [[[1, 1], [2, 14], [4, 2], [18, 1]], 17/346737239654400], [[[1, 1], [2, 14], [4, 3], [5, 1]], 1/1027369598976000], [[[1, 1], [2, 14], [4, 3], [6, 2]], 11047/8321693751705600], [[[1, 1], [2, 14], [4, 3], [8, 1]], 143/3287582716723200], [[[1, 1], [2, 14], [4, 3], [10, 1]], 841/570760888320000], [[[1, 1], [2, 14], [4, 3], [12, 1]], 1/440301256704000], [[[1, 1], [2, 14], [4, 4], [6, 1]], 3061957/19972065004093440000], [[[1, 1], [2, 14], [5, 2], [6, 1]], 157/260052929740800000], [[[1, 1], [2, 14], [6, 1], [8, 2]], 157/83216937517056000], [[[1, 1], [2, 14], [6, 1], [10, 2]], 1723193/52010585948160000], [[[1, 1], [2, 14], [6, 1], [12, 2]], 157/124825406275584000], [[[1, 1], [2, 14], [6, 1], [15, 1]], 157/13002646487040000], [[[1, 1], [2, 14], [6, 1], [20, 1]], 157/8668430991360000], [[[1, 1], [2, 14], [6, 1], [24, 1]], 157/10402117189632000], [[[1, 1], [2, 14], [6, 1], [30, 1]], 157/13002646487040000], [[[1, 1], [2, 14], [6, 2], [7, 1]], 31/303395084697600], [[[1, 1], [2, 14], [6, 2], [9, 1]], 31/390079394611200], [[[1, 1], [2, 14], [6, 2], [14, 1]], 307/37924385587200], [[[1, 1], [2, 14], [6, 2], [18, 1]], 1871/866843099136000], [[[1, 1], [2, 14], [6, 3], [8, 1]], 2323/1386948958617600], [[[1, 1], [2, 14], [6, 3], [10, 1]], 22523/722369249280000], [[[1, 1], [2, 14], [6, 3], [12, 1]], 67199/41608468758528000], [[[1, 1], [2, 14], [7, 1], [10, 1]], 1/46820229120000], [[[1, 1], [2, 14], [8, 1], [14, 1]], 1/14982473318400], [[[1, 1], [2, 14], [8, 1], [18, 1]], 1/57789539942400], [[[1, 1], [2, 14], [9, 1], [10, 1]], 1/60197437440000], [[[1, 1], [2, 14], [10, 1], [14, 1]], 11/3901685760000], [[[1, 1], [2, 14], [10, 1], [18, 1]], 67/90296156160000], [[[1, 1], [2, 16], [3, 1], [4, 3]], 1/14794122225254400], [[[1, 1], [2, 16], [3, 1], [6, 3]], 827/41608468758528000], [[[1, 1], [2, 16], [3, 1], [9, 1]], 241/104853341271490560000], [[[1, 1], [2, 16], [3, 2], [6, 2]], 477947/1118435640229232640000], [[[1, 1], [2, 16], [3, 2], [12, 1]], 241/559217820114616320000], [[[1, 1], [2, 16], [3, 3], [6, 1]], 1/1123428656480256000], [[[1, 1], [2, 16], [4, 1], [6, 3]], 3067/55477958344704000], [[[1, 1], [2, 16], [4, 1], [14, 1]], 1/599298932736000], [[[1, 1], [2, 16], [4, 1], [18, 1]], 1/2311581597696000], [[[1, 1], [2, 16], [4, 2], [6, 2]], 4871/332867750068224000], [[[1, 1], [2, 16], [4, 2], [8, 1]], 23/49313740750848000], [[[1, 1], [2, 16], [4, 2], [10, 1]], 143/30821087969280000], [[[1, 1], [2, 16], [4, 2], [12, 1]], 241/139804455028654080000], [[[1, 1], [2, 16], [4, 3], [6, 1]], 3971/665735500136448000], [[[1, 1], [2, 16], [6, 1], [7, 1]], 1/12135803387904000], [[[1, 1], [2, 16], [6, 1], [9, 1]], 1/15603175784448000], [[[1, 1], [2, 16], [6, 1], [14, 1]], 79/6067901693952000], [[[1, 1], [2, 16], [6, 1], [18, 1]], 13283/3883457084129280000], [[[1, 1], [2, 16], [6, 2], [8, 1]], 13/1733686198272000], [[[1, 1], [2, 16], [6, 2], [10, 1]], 67/309586821120000], [[[1, 1], [2, 16], [6, 2], [12, 1]], 477947/186405940038205440000], [[[1, 1], [2, 16], [8, 1], [10, 1]], 1/642105999360000], [[[1, 1], [2, 18], [3, 1], [5, 1]], 1/116503712523878400000], [[[1, 1], [2, 18], [3, 1], [6, 2]], 2987/186405940038205440000], [[[1, 1], [2, 18], [3, 1], [8, 1]], 1/93202970019102720000], [[[1, 1], [2, 18], [3, 1], [12, 1]], 1/93202970019102720000], [[[1, 1], [2, 18], [3, 2], [6, 1]], 61/419413365085962240000], [[[1, 1], [2, 18], [4, 1], [5, 1]], 1/77669141682585600000], [[[1, 1], [2, 18], [4, 1], [6, 2]], 11/55477958344704000], [[[1, 1], [2, 18], [4, 1], [8, 1]], 251/248541253384273920000], [[[1, 1], [2, 18], [4, 1], [10, 1]], 121/3106765667303424000], [[[1, 1], [2, 18], [4, 1], [12, 1]], 1/46601485009551360000], [[[1, 1], [2, 18], [4, 2], [6, 1]], 7967/372811880076410880000], [[[1, 1], [2, 18], [6, 1], [8, 1]], 187/31067656673034240000], [[[1, 1], [2, 18], [6, 1], [10, 1]], 251/776691416825856000], [[[1, 1], [2, 18], [6, 1], [12, 1]], 61/69902227514327040000], [[[1, 1], [2, 20], [3, 1], [4, 1]], 1/1118435640229232640000], [[[1, 1], [2, 20], [3, 1], [6, 1]], 1/279608910057308160000], [[[1, 1], [2, 20], [4, 1], [6, 1]], 19/124270626692136960000], [[[1, 1], [3, 1], [4, 8], [9, 1]], 17/1926317998080], [[[1, 1], [3, 1], [5, 4], [9, 1]], 1/77760000], [[[1, 1], [3, 1], [6, 8], [9, 1]], 1/5224277606400], [[[1, 1], [3, 1], [8, 4], [9, 1]], 1/4423680], [[[1, 1], [3, 1], [9, 1], [10, 4]], 1/77760000], [[[1, 1], [3, 1], [9, 1], [12, 4]], 23/268738560], [[[1, 1], [3, 1], [9, 1], [15, 2]], 1/194400], [[[1, 1], [3, 1], [9, 1], [16, 2]], 1/41472], [[[1, 1], [3, 1], [9, 1], [20, 2]], 1/51840], [[[1, 1], [3, 1], [9, 1], [24, 2]], 1/41472], [[[1, 1], [3, 1], [9, 1], [30, 2]], 1/194400], [[[1, 1], [3, 1], [9, 1], [40, 1]], 1/4320], [[[1, 1], [3, 1], [9, 1], [48, 1]], 1/5184], [[[1, 1], [3, 1], [9, 1], [60, 1]], 1/6480], [[[1, 1], [3, 2], [4, 2], [12, 4]], 7/35831808], [[[1, 1], [3, 2], [4, 4], [6, 6]], 1/24766945689600], [[[1, 1], [3, 2], [4, 4], [9, 2]], 1/537477120], [[[1, 1], [3, 2], [4, 4], [12, 3]], 3841/7644119040], [[[1, 1], [3, 2], [4, 6], [12, 2]], 19/5733089280], [[[1, 1], [3, 2], [4, 8], [6, 2]], 17/61642175938560], [[[1, 1], [3, 2], [4, 8], [12, 1]], 17/10273695989760], [[[1, 1], [3, 2], [5, 2], [6, 6]], 1/322486272000], [[[1, 1], [3, 2], [5, 2], [9, 2]], 1/6998400], [[[1, 1], [3, 2], [5, 2], [12, 3]], 1/99532800], [[[1, 1], [3, 2], [5, 4], [6, 2]], 1/2488320000], [[[1, 1], [3, 2], [5, 4], [12, 1]], 1/414720000], [[[1, 1], [3, 2], [6, 2], [8, 4]], 1/141557760], [[[1, 1], [3, 2], [6, 2], [10, 4]], 1/2488320000], [[[1, 1], [3, 2], [6, 2], [12, 4]], 4523/8599633920], [[[1, 1], [3, 2], [6, 2], [15, 2]], 1/6220800], [[[1, 1], [3, 2], [6, 2], [16, 2]], 1/1327104], [[[1, 1], [3, 2], [6, 2], [20, 2]], 1/1658880], [[[1, 1], [3, 2], [6, 2], [24, 2]], 49/1327104], [[[1, 1], [3, 2], [6, 2], [30, 2]], 1/6220800], [[[1, 1], [3, 2], [6, 2], [40, 1]], 1/138240], [[[1, 1], [3, 2], [6, 2], [48, 1]], 1/165888], [[[1, 1], [3, 2], [6, 2], [60, 1]], 1/207360], [[[1, 1], [3, 2], [6, 4], [9, 2]], 1/1813985280], [[[1, 1], [3, 2], [6, 4], [12, 3]], 13321/25798901760], [[[1, 1], [3, 2], [6, 4], [18, 2]], 1/20155392], [[[1, 1], [3, 2], [6, 6], [8, 2]], 1/103195607040], [[[1, 1], [3, 2], [6, 6], [10, 2]], 1/322486272000], [[[1, 1], [3, 2], [6, 6], [12, 2]], 421/154793410560], [[[1, 1], [3, 2], [6, 6], [15, 1]], 1/16124313600], [[[1, 1], [3, 2], [6, 6], [20, 1]], 1/10749542400], [[[1, 1], [3, 2], [6, 6], [24, 1]], 73/12899450880], [[[1, 1], [3, 2], [6, 6], [30, 1]], 1/16124313600], [[[1, 1], [3, 2], [6, 7], [18, 1]], 1/29023764480], [[[1, 1], [3, 2], [6, 8], [12, 1]], 181/27862813900800], [[[1, 1], [3, 2], [8, 2], [9, 2]], 1/2239488], [[[1, 1], [3, 2], [8, 2], [12, 3]], 1/31850496], [[[1, 1], [3, 2], [8, 4], [12, 1]], 1/23592960], [[[1, 1], [3, 2], [9, 2], [10, 2]], 1/6998400], [[[1, 1], [3, 2], [9, 2], [12, 2]], 1/3359232], [[[1, 1], [3, 2], [9, 2], [15, 1]], 1/349920], [[[1, 1], [3, 2], [9, 2], [20, 1]], 1/233280], [[[1, 1], [3, 2], [9, 2], [24, 1]], 1/279936], [[[1, 1], [3, 2], [9, 2], [30, 1]], 1/349920], [[[1, 1], [3, 2], [10, 2], [12, 3]], 1/99532800], [[[1, 1], [3, 2], [10, 4], [12, 1]], 1/414720000], [[[1, 1], [3, 2], [12, 1], [15, 2]], 1/1036800], [[[1, 1], [3, 2], [12, 1], [16, 2]], 1/221184], [[[1, 1], [3, 2], [12, 1], [20, 2]], 1/276480], [[[1, 1], [3, 2], [12, 1], [24, 2]], 1/221184], [[[1, 1], [3, 2], [12, 1], [30, 2]], 1/1036800], [[[1, 1], [3, 2], [12, 1], [40, 1]], 1/23040], [[[1, 1], [3, 2], [12, 1], [48, 1]], 1/27648], [[[1, 1], [3, 2], [12, 1], [60, 1]], 1/34560], [[[1, 1], [3, 2], [12, 2], [36, 1]], 1/62208], [[[1, 1], [3, 2], [12, 3], [15, 1]], 1/4976640], [[[1, 1], [3, 2], [12, 3], [20, 1]], 1/3317760], [[[1, 1], [3, 2], [12, 3], [24, 1]], 13/3981312], [[[1, 1], [3, 2], [12, 3], [30, 1]], 1/4976640], [[[1, 1], [3, 3], [6, 6], [9, 1]], 1/29023764480], [[[1, 1], [3, 3], [9, 1], [12, 3]], 1/8957952], [[[1, 1], [3, 4], [4, 2], [12, 3]], 817/19349176320], [[[1, 1], [3, 4], [4, 2], [28, 1]], 1/17418240], [[[1, 1], [3, 4], [4, 2], [36, 1]], 1/67184640], [[[1, 1], [3, 4], [4, 4], [5, 2]], 1/8599633920000], [[[1, 1], [3, 4], [4, 4], [6, 4]], 81811/2229025112064000], [[[1, 1], [3, 4], [4, 4], [8, 2]], 241/2751882854400], [[[1, 1], [3, 4], [4, 4], [10, 2]], 1/8599633920000], [[[1, 1], [3, 4], [4, 4], [12, 2]], 4111/4127824281600], [[[1, 1], [3, 4], [4, 4], [15, 1]], 1/429981696000], [[[1, 1], [3, 4], [4, 4], [20, 1]], 77/57330892800], [[[1, 1], [3, 4], [4, 4], [24, 1]], 1/343985356800], [[[1, 1], [3, 4], [4, 4], [30, 1]], 1/429981696000], [[[1, 1], [3, 4], [4, 6], [12, 1]], 19/3095868211200], [[[1, 1], [3, 4], [5, 2], [6, 4]], 81811/29023764480000], [[[1, 1], [3, 4], [5, 2], [8, 2]], 1/35831808000], [[[1, 1], [3, 4], [5, 2], [10, 2]], 301/111974400000], [[[1, 1], [3, 4], [5, 2], [12, 2]], 271/53747712000], [[[1, 1], [3, 4], [5, 2], [15, 1]], 1/5598720000], [[[1, 1], [3, 4], [5, 2], [20, 1]], 1/3732480000], [[[1, 1], [3, 4], [5, 2], [24, 1]], 1/4478976000], [[[1, 1], [3, 4], [5, 2], [30, 1]], 1/5598720000], [[[1, 1], [3, 4], [6, 2], [9, 2]], 1/20155392], [[[1, 1], [3, 4], [6, 2], [12, 3]], 13321/25798901760], [[[1, 1], [3, 4], [6, 2], [18, 2]], 1/1813985280], [[[1, 1], [3, 4], [6, 4], [8, 2]], 81811/9287604633600], [[[1, 1], [3, 4], [6, 4], [10, 2]], 81811/29023764480000], [[[1, 1], [3, 4], [6, 4], [12, 2]], 1297351/13931406950400], [[[1, 1], [3, 4], [6, 4], [15, 1]], 81811/1451188224000], [[[1, 1], [3, 4], [6, 4], [20, 1]], 81811/967458816000], [[[1, 1], [3, 4], [6, 4], [24, 1]], 665011/1160950579200], [[[1, 1], [3, 4], [6, 4], [30, 1]], 81811/1451188224000], [[[1, 1], [3, 4], [6, 5], [18, 1]], 81811/2612138803200], [[[1, 1], [3, 4], [6, 6], [12, 1]], 81901/13931406950400], [[[1, 1], [3, 4], [8, 2], [10, 2]], 1/35831808000], [[[1, 1], [3, 4], [8, 2], [12, 2]], 271/17199267840], [[[1, 1], [3, 4], [8, 2], [15, 1]], 1/1791590400], [[[1, 1], [3, 4], [8, 2], [20, 1]], 1/1194393600], [[[1, 1], [3, 4], [8, 2], [24, 1]], 11/477757440], [[[1, 1], [3, 4], [8, 2], [30, 1]], 1/1791590400], [[[1, 1], [3, 4], [9, 2], [12, 1]], 1/3359232], [[[1, 1], [3, 4], [10, 2], [12, 2]], 271/53747712000], [[[1, 1], [3, 4], [10, 2], [15, 1]], 1/5598720000], [[[1, 1], [3, 4], [10, 2], [20, 1]], 1/3732480000], [[[1, 1], [3, 4], [10, 2], [24, 1]], 1/4478976000], [[[1, 1], [3, 4], [10, 2], [30, 1]], 1/5598720000], [[[1, 1], [3, 4], [12, 1], [36, 1]], 1/33592320], [[[1, 1], [3, 4], [12, 2], [15, 1]], 271/2687385600], [[[1, 1], [3, 4], [12, 2], [20, 1]], 271/1791590400], [[[1, 1], [3, 4], [12, 2], [24, 1]], 283/2149908480], [[[1, 1], [3, 4], [12, 2], [30, 1]], 271/2687385600], [[[1, 1], [3, 4], [15, 1], [20, 1]], 1/186624000], [[[1, 1], [3, 4], [15, 1], [24, 1]], 1/223948800], [[[1, 1], [3, 4], [15, 1], [30, 1]], 1/17496000], [[[1, 1], [3, 4], [20, 1], [24, 1]], 1/149299200], [[[1, 1], [3, 4], [20, 1], [30, 1]], 1/186624000], [[[1, 1], [3, 4], [24, 1], [30, 1]], 1/223948800], [[[1, 1], [3, 5], [4, 4], [9, 1]], 1/773967052800], [[[1, 1], [3, 5], [5, 2], [9, 1]], 1/10077696000], [[[1, 1], [3, 5], [6, 4], [9, 1]], 81811/2612138803200], [[[1, 1], [3, 5], [8, 2], [9, 1]], 1/3224862720], [[[1, 1], [3, 5], [9, 1], [10, 2]], 1/10077696000], [[[1, 1], [3, 5], [9, 1], [12, 2]], 271/4837294080], [[[1, 1], [3, 5], [9, 1], [15, 1]], 1/503884800], [[[1, 1], [3, 5], [9, 1], [20, 1]], 1/335923200], [[[1, 1], [3, 5], [9, 1], [24, 1]], 1/403107840], [[[1, 1], [3, 5], [9, 1], [30, 1]], 1/503884800], [[[1, 1], [3, 6], [4, 2], [12, 2]], 1/6449725440], [[[1, 1], [3, 6], [4, 4], [6, 2]], 1/24766945689600], [[[1, 1], [3, 6], [4, 4], [12, 1]], 1/4127824281600], [[[1, 1], [3, 6], [5, 2], [6, 2]], 1/322486272000], [[[1, 1], [3, 6], [5, 2], [12, 1]], 1/53747712000], [[[1, 1], [3, 6], [6, 2], [8, 2]], 1/103195607040], [[[1, 1], [3, 6], [6, 2], [10, 2]], 1/322486272000], [[[1, 1], [3, 6], [6, 2], [12, 2]], 421/154793410560], [[[1, 1], [3, 6], [6, 2], [15, 1]], 1/16124313600], [[[1, 1], [3, 6], [6, 2], [20, 1]], 1/10749542400], [[[1, 1], [3, 6], [6, 2], [24, 1]], 73/12899450880], [[[1, 1], [3, 6], [6, 2], [30, 1]], 1/16124313600], [[[1, 1], [3, 6], [6, 3], [18, 1]], 1/29023764480], [[[1, 1], [3, 6], [6, 4], [12, 1]], 81901/13931406950400], [[[1, 1], [3, 6], [8, 2], [12, 1]], 1/17199267840], [[[1, 1], [3, 6], [10, 2], [12, 1]], 1/53747712000], [[[1, 1], [3, 6], [12, 1], [15, 1]], 1/2687385600], [[[1, 1], [3, 6], [12, 1], [20, 1]], 1/1791590400], [[[1, 1], [3, 6], [12, 1], [24, 1]], 1/2149908480], [[[1, 1], [3, 6], [12, 1], [30, 1]], 1/2687385600], [[[1, 1], [3, 7], [6, 2], [9, 1]], 1/29023764480], [[[1, 1], [3, 7], [9, 1], [12, 1]], 1/4837294080], [[[1, 1], [3, 8], [4, 2], [12, 1]], 1/6965703475200], [[[1, 1], [3, 8], [6, 1], [18, 1]], 1/5224277606400], [[[1, 1], [3, 8], [6, 2], [12, 1]], 181/27862813900800], [[[1, 1], [4, 2], [5, 2], [12, 3]], 7/74649600], [[[1, 1], [4, 2], [5, 2], [28, 1]], 1/67200], [[[1, 1], [4, 2], [5, 2], [36, 1]], 1/259200], [[[1, 1], [4, 2], [5, 4], [12, 1]], 1/103680000], [[[1, 1], [4, 2], [6, 2], [12, 4]], 7/35831808], [[[1, 1], [4, 2], [6, 4], [12, 3]], 817/19349176320], [[[1, 1], [4, 2], [6, 4], [28, 1]], 1/17418240], [[[1, 1], [4, 2], [6, 4], [36, 1]], 1/67184640], [[[1, 1], [4, 2], [6, 6], [12, 2]], 1/6449725440], [[[1, 1], [4, 2], [6, 8], [12, 1]], 1/6965703475200], [[[1, 1], [4, 2], [8, 2], [12, 3]], 43/23887872], [[[1, 1], [4, 2], [8, 2], [28, 1]], 1/21504], [[[1, 1], [4, 2], [8, 2], [36, 1]], 1/82944], [[[1, 1], [4, 2], [8, 3], [16, 1]], 1/98304], [[[1, 1], [4, 2], [8, 4], [12, 1]], 43/17694720], [[[1, 1], [4, 2], [10, 2], [12, 3]], 7/74649600], [[[1, 1], [4, 2], [10, 2], [28, 1]], 1/67200], [[[1, 1], [4, 2], [10, 2], [36, 1]], 1/259200], [[[1, 1], [4, 2], [10, 4], [12, 1]], 1/103680000], [[[1, 1], [4, 2], [12, 1], [15, 2]], 1/259200], [[[1, 1], [4, 2], [12, 1], [16, 2]], 1/55296], [[[1, 1], [4, 2], [12, 1], [20, 2]], 77/345600], [[[1, 1], [4, 2], [12, 1], [24, 2]], 5/55296], [[[1, 1], [4, 2], [12, 1], [30, 2]], 1/259200], [[[1, 1], [4, 2], [12, 1], [40, 1]], 1/5760], [[[1, 1], [4, 2], [12, 1], [48, 1]], 1/6912], [[[1, 1], [4, 2], [12, 1], [60, 1]], 1/8640], [[[1, 1], [4, 2], [12, 2], [28, 1]], 1/32256], [[[1, 1], [4, 2], [12, 2], [36, 1]], 11/4608], [[[1, 1], [4, 2], [12, 3], [15, 1]], 7/3732480], [[[1, 1], [4, 2], [12, 3], [20, 1]], 43/2488320], [[[1, 1], [4, 2], [12, 3], [24, 1]], 61/2985984], [[[1, 1], [4, 2], [12, 3], [30, 1]], 7/3732480], [[[1, 1], [4, 2], [15, 1], [28, 1]], 1/3360], [[[1, 1], [4, 2], [15, 1], [36, 1]], 1/12960], [[[1, 1], [4, 2], [20, 1], [28, 1]], 1/2240], [[[1, 1], [4, 2], [20, 1], [36, 1]], 1/8640], [[[1, 1], [4, 2], [24, 1], [28, 1]], 1/2688], [[[1, 1], [4, 2], [24, 1], [36, 1]], 1/10368], [[[1, 1], [4, 2], [28, 1], [30, 1]], 1/3360], [[[1, 1], [4, 2], [30, 1], [36, 1]], 1/12960], [[[1, 1], [4, 4], [5, 2], [6, 4]], 1/8599633920000], [[[1, 1], [4, 4], [5, 2], [8, 2]], 241/10616832000], [[[1, 1], [4, 4], [5, 2], [10, 2]], 301/33177600000], [[[1, 1], [4, 4], [5, 2], [12, 2]], 3841/15925248000], [[[1, 1], [4, 4], [5, 2], [15, 1]], 1/1658880000], [[[1, 1], [4, 4], [5, 2], [20, 1]], 77/221184000], [[[1, 1], [4, 4], [5, 2], [24, 1]], 1/1327104000], [[[1, 1], [4, 4], [5, 2], [30, 1]], 1/1658880000], [[[1, 1], [4, 4], [6, 2], [12, 3]], 3841/7644119040], [[[1, 1], [4, 4], [6, 2], [18, 2]], 1/537477120], [[[1, 1], [4, 4], [6, 4], [8, 2]], 241/2751882854400], [[[1, 1], [4, 4], [6, 4], [10, 2]], 1/8599633920000], [[[1, 1], [4, 4], [6, 4], [12, 2]], 4111/4127824281600], [[[1, 1], [4, 4], [6, 4], [15, 1]], 1/429981696000], [[[1, 1], [4, 4], [6, 4], [20, 1]], 77/57330892800], [[[1, 1], [4, 4], [6, 4], [24, 1]], 1/343985356800], [[[1, 1], [4, 4], [6, 4], [30, 1]], 1/429981696000], [[[1, 1], [4, 4], [6, 5], [18, 1]], 1/773967052800], [[[1, 1], [4, 4], [6, 6], [12, 1]], 1/4127824281600], [[[1, 1], [4, 4], [8, 2], [10, 2]], 241/10616832000], [[[1, 1], [4, 4], [8, 2], [12, 2]], 34801/5096079360], [[[1, 1], [4, 4], [8, 2], [15, 1]], 241/530841600], [[[1, 1], [4, 4], [8, 2], [20, 1]], 25/14155776], [[[1, 1], [4, 4], [8, 2], [24, 1]], 91/141557760], [[[1, 1], [4, 4], [8, 2], [30, 1]], 241/530841600], [[[1, 1], [4, 4], [10, 2], [12, 2]], 3841/15925248000], [[[1, 1], [4, 4], [10, 2], [15, 1]], 1/1658880000], [[[1, 1], [4, 4], [10, 2], [20, 1]], 77/221184000], [[[1, 1], [4, 4], [10, 2], [24, 1]], 1/1327104000], [[[1, 1], [4, 4], [10, 2], [30, 1]], 1/1658880000], [[[1, 1], [4, 4], [12, 1], [28, 1]], 1/8064], [[[1, 1], [4, 4], [12, 1], [36, 1]], 107/3317760], [[[1, 1], [4, 4], [12, 2], [15, 1]], 3841/796262400], [[[1, 1], [4, 4], [12, 2], [20, 1]], 6989/106168320], [[[1, 1], [4, 4], [12, 2], [24, 1]], 19213/637009920], [[[1, 1], [4, 4], [12, 2], [30, 1]], 3841/796262400], [[[1, 1], [4, 4], [15, 1], [20, 1]], 77/11059200], [[[1, 1], [4, 4], [15, 1], [24, 1]], 1/66355200], [[[1, 1], [4, 4], [15, 1], [30, 1]], 1/5184000], [[[1, 1], [4, 4], [20, 1], [24, 1]], 77/8847360], [[[1, 1], [4, 4], [20, 1], [30, 1]], 77/11059200], [[[1, 1], [4, 4], [24, 1], [30, 1]], 1/66355200], [[[1, 1], [4, 6], [5, 2], [12, 1]], 19/11943936000], [[[1, 1], [4, 6], [6, 2], [12, 2]], 19/5733089280], [[[1, 1], [4, 6], [6, 4], [12, 1]], 19/3095868211200], [[[1, 1], [4, 6], [8, 1], [16, 1]], 1/23592960], [[[1, 1], [4, 6], [8, 2], [12, 1]], 155/764411904], [[[1, 1], [4, 6], [10, 2], [12, 1]], 19/11943936000], [[[1, 1], [4, 6], [12, 1], [15, 1]], 19/597196800], [[[1, 1], [4, 6], [12, 1], [20, 1]], 1207/398131200], [[[1, 1], [4, 6], [12, 1], [24, 1]], 37/477757440], [[[1, 1], [4, 6], [12, 1], [30, 1]], 19/597196800], [[[1, 1], [4, 8], [6, 1], [18, 1]], 17/1926317998080], [[[1, 1], [4, 8], [6, 2], [12, 1]], 17/10273695989760], [[[1, 1], [5, 2], [6, 2], [12, 3]], 1/99532800], [[[1, 1], [5, 2], [6, 2], [18, 2]], 1/6998400], [[[1, 1], [5, 2], [6, 4], [8, 2]], 1/35831808000], [[[1, 1], [5, 2], [6, 4], [10, 2]], 301/111974400000], [[[1, 1], [5, 2], [6, 4], [12, 2]], 271/53747712000], [[[1, 1], [5, 2], [6, 4], [15, 1]], 1/5598720000], [[[1, 1], [5, 2], [6, 4], [20, 1]], 1/3732480000], [[[1, 1], [5, 2], [6, 4], [24, 1]], 1/4478976000], [[[1, 1], [5, 2], [6, 4], [30, 1]], 1/5598720000], [[[1, 1], [5, 2], [6, 5], [18, 1]], 1/10077696000], [[[1, 1], [5, 2], [6, 6], [12, 1]], 1/53747712000], [[[1, 1], [5, 2], [8, 2], [10, 2]], 301/138240000], [[[1, 1], [5, 2], [8, 2], [12, 2]], 1/66355200], [[[1, 1], [5, 2], [8, 2], [15, 1]], 1/6912000], [[[1, 1], [5, 2], [8, 2], [20, 1]], 1/4608000], [[[1, 1], [5, 2], [8, 2], [24, 1]], 11/1843200], [[[1, 1], [5, 2], [8, 2], [30, 1]], 1/6912000], [[[1, 1], [5, 2], [10, 2], [12, 2]], 301/207360000], [[[1, 1], [5, 2], [10, 2], [15, 1]], 301/21600000], [[[1, 1], [5, 2], [10, 2], [20, 1]], 301/14400000], [[[1, 1], [5, 2], [10, 2], [24, 1]], 301/17280000], [[[1, 1], [5, 2], [10, 2], [30, 1]], 301/21600000], [[[1, 1], [5, 2], [12, 1], [36, 1]], 1/129600], [[[1, 1], [5, 2], [12, 2], [15, 1]], 1/10368000], [[[1, 1], [5, 2], [12, 2], [20, 1]], 1/6912000], [[[1, 1], [5, 2], [12, 2], [24, 1]], 13/8294400], [[[1, 1], [5, 2], [12, 2], [30, 1]], 1/10368000], [[[1, 1], [5, 2], [15, 1], [20, 1]], 1/720000], [[[1, 1], [5, 2], [15, 1], [24, 1]], 1/864000], [[[1, 1], [5, 2], [15, 1], [30, 1]], 1/67500], [[[1, 1], [5, 2], [20, 1], [24, 1]], 1/576000], [[[1, 1], [5, 2], [20, 1], [30, 1]], 1/720000], [[[1, 1], [5, 2], [24, 1], [30, 1]], 1/864000], [[[1, 1], [5, 4], [6, 1], [18, 1]], 1/77760000], [[[1, 1], [5, 4], [6, 2], [12, 1]], 1/414720000], [[[1, 1], [6, 1], [8, 4], [18, 1]], 1/4423680], [[[1, 1], [6, 1], [10, 4], [18, 1]], 1/77760000], [[[1, 1], [6, 1], [12, 4], [18, 1]], 23/268738560], [[[1, 1], [6, 1], [15, 2], [18, 1]], 1/194400], [[[1, 1], [6, 1], [16, 2], [18, 1]], 1/41472], [[[1, 1], [6, 1], [18, 1], [20, 2]], 1/51840], [[[1, 1], [6, 1], [18, 1], [24, 2]], 1/41472], [[[1, 1], [6, 1], [18, 1], [30, 2]], 1/194400], [[[1, 1], [6, 1], [18, 1], [40, 1]], 1/4320], [[[1, 1], [6, 1], [18, 1], [48, 1]], 1/5184], [[[1, 1], [6, 1], [18, 1], [60, 1]], 1/6480], [[[1, 1], [6, 2], [8, 2], [12, 3]], 1/31850496], [[[1, 1], [6, 2], [8, 2], [18, 2]], 1/2239488], [[[1, 1], [6, 2], [8, 4], [12, 1]], 1/23592960], [[[1, 1], [6, 2], [10, 2], [12, 3]], 1/99532800], [[[1, 1], [6, 2], [10, 2], [18, 2]], 1/6998400], [[[1, 1], [6, 2], [10, 4], [12, 1]], 1/414720000], [[[1, 1], [6, 2], [12, 1], [15, 2]], 1/1036800], [[[1, 1], [6, 2], [12, 1], [16, 2]], 1/221184], [[[1, 1], [6, 2], [12, 1], [20, 2]], 1/276480], [[[1, 1], [6, 2], [12, 1], [24, 2]], 1/221184], [[[1, 1], [6, 2], [12, 1], [30, 2]], 1/1036800], [[[1, 1], [6, 2], [12, 1], [40, 1]], 1/23040], [[[1, 1], [6, 2], [12, 1], [48, 1]], 1/27648], [[[1, 1], [6, 2], [12, 1], [60, 1]], 1/34560], [[[1, 1], [6, 2], [12, 2], [18, 2]], 1/3359232], [[[1, 1], [6, 2], [12, 2], [36, 1]], 1/62208], [[[1, 1], [6, 2], [12, 3], [15, 1]], 1/4976640], [[[1, 1], [6, 2], [12, 3], [20, 1]], 1/3317760], [[[1, 1], [6, 2], [12, 3], [24, 1]], 13/3981312], [[[1, 1], [6, 2], [12, 3], [30, 1]], 1/4976640], [[[1, 1], [6, 2], [15, 1], [18, 2]], 1/349920], [[[1, 1], [6, 2], [18, 2], [20, 1]], 1/233280], [[[1, 1], [6, 2], [18, 2], [24, 1]], 1/279936], [[[1, 1], [6, 2], [18, 2], [30, 1]], 1/349920], [[[1, 1], [6, 3], [12, 3], [18, 1]], 1/8957952], [[[1, 1], [6, 4], [8, 2], [10, 2]], 1/35831808000], [[[1, 1], [6, 4], [8, 2], [12, 2]], 271/17199267840], [[[1, 1], [6, 4], [8, 2], [15, 1]], 1/1791590400], [[[1, 1], [6, 4], [8, 2], [20, 1]], 1/1194393600], [[[1, 1], [6, 4], [8, 2], [24, 1]], 11/477757440], [[[1, 1], [6, 4], [8, 2], [30, 1]], 1/1791590400], [[[1, 1], [6, 4], [10, 2], [12, 2]], 271/53747712000], [[[1, 1], [6, 4], [10, 2], [15, 1]], 1/5598720000], [[[1, 1], [6, 4], [10, 2], [20, 1]], 1/3732480000], [[[1, 1], [6, 4], [10, 2], [24, 1]], 1/4478976000], [[[1, 1], [6, 4], [10, 2], [30, 1]], 1/5598720000], [[[1, 1], [6, 4], [12, 1], [18, 2]], 1/3359232], [[[1, 1], [6, 4], [12, 1], [36, 1]], 1/33592320], [[[1, 1], [6, 4], [12, 2], [15, 1]], 271/2687385600], [[[1, 1], [6, 4], [12, 2], [20, 1]], 271/1791590400], [[[1, 1], [6, 4], [12, 2], [24, 1]], 283/2149908480], [[[1, 1], [6, 4], [12, 2], [30, 1]], 271/2687385600], [[[1, 1], [6, 4], [15, 1], [20, 1]], 1/186624000], [[[1, 1], [6, 4], [15, 1], [24, 1]], 1/223948800], [[[1, 1], [6, 4], [15, 1], [30, 1]], 1/17496000], [[[1, 1], [6, 4], [20, 1], [24, 1]], 1/149299200], [[[1, 1], [6, 4], [20, 1], [30, 1]], 1/186624000], [[[1, 1], [6, 4], [24, 1], [30, 1]], 1/223948800], [[[1, 1], [6, 5], [8, 2], [18, 1]], 1/3224862720], [[[1, 1], [6, 5], [10, 2], [18, 1]], 1/10077696000], [[[1, 1], [6, 5], [12, 2], [18, 1]], 271/4837294080], [[[1, 1], [6, 5], [15, 1], [18, 1]], 1/503884800], [[[1, 1], [6, 5], [18, 1], [20, 1]], 1/335923200], [[[1, 1], [6, 5], [18, 1], [24, 1]], 1/403107840], [[[1, 1], [6, 5], [18, 1], [30, 1]], 1/503884800], [[[1, 1], [6, 6], [8, 2], [12, 1]], 1/17199267840], [[[1, 1], [6, 6], [10, 2], [12, 1]], 1/53747712000], [[[1, 1], [6, 6], [12, 1], [15, 1]], 1/2687385600], [[[1, 1], [6, 6], [12, 1], [20, 1]], 1/1791590400], [[[1, 1], [6, 6], [12, 1], [24, 1]], 1/2149908480], [[[1, 1], [6, 6], [12, 1], [30, 1]], 1/2687385600], [[[1, 1], [6, 7], [12, 1], [18, 1]], 1/4837294080], [[[1, 1], [8, 2], [10, 2], [12, 2]], 1/66355200], [[[1, 1], [8, 2], [10, 2], [15, 1]], 1/6912000], [[[1, 1], [8, 2], [10, 2], [20, 1]], 1/4608000], [[[1, 1], [8, 2], [10, 2], [24, 1]], 11/1843200], [[[1, 1], [8, 2], [10, 2], [30, 1]], 1/6912000], [[[1, 1], [8, 2], [12, 1], [36, 1]], 1/41472], [[[1, 1], [8, 2], [12, 2], [15, 1]], 1/3317760], [[[1, 1], [8, 2], [12, 2], [20, 1]], 1/2211840], [[[1, 1], [8, 2], [12, 2], [24, 1]], 5/294912], [[[1, 1], [8, 2], [12, 2], [30, 1]], 1/3317760], [[[1, 1], [8, 2], [15, 1], [20, 1]], 1/230400], [[[1, 1], [8, 2], [15, 1], [24, 1]], 11/92160], [[[1, 1], [8, 2], [15, 1], [30, 1]], 1/21600], [[[1, 1], [8, 2], [20, 1], [24, 1]], 11/61440], [[[1, 1], [8, 2], [20, 1], [30, 1]], 1/230400], [[[1, 1], [8, 2], [24, 1], [30, 1]], 11/92160], [[[1, 1], [10, 2], [12, 1], [36, 1]], 1/129600], [[[1, 1], [10, 2], [12, 2], [15, 1]], 1/10368000], [[[1, 1], [10, 2], [12, 2], [20, 1]], 1/6912000], [[[1, 1], [10, 2], [12, 2], [24, 1]], 13/8294400], [[[1, 1], [10, 2], [12, 2], [30, 1]], 1/10368000], [[[1, 1], [10, 2], [15, 1], [20, 1]], 1/720000], [[[1, 1], [10, 2], [15, 1], [24, 1]], 1/864000], [[[1, 1], [10, 2], [15, 1], [30, 1]], 1/67500], [[[1, 1], [10, 2], [20, 1], [24, 1]], 1/576000], [[[1, 1], [10, 2], [20, 1], [30, 1]], 1/720000], [[[1, 1], [10, 2], [24, 1], [30, 1]], 1/864000], [[[1, 1], [12, 1], [15, 1], [36, 1]], 1/6480], [[[1, 1], [12, 1], [20, 1], [36, 1]], 1/4320], [[[1, 1], [12, 1], [24, 1], [36, 1]], 1/5184], [[[1, 1], [12, 1], [30, 1], [36, 1]], 1/6480], [[[1, 1], [12, 2], [15, 1], [20, 1]], 1/345600], [[[1, 1], [12, 2], [15, 1], [24, 1]], 13/414720], [[[1, 1], [12, 2], [15, 1], [30, 1]], 1/32400], [[[1, 1], [12, 2], [20, 1], [24, 1]], 13/276480], [[[1, 1], [12, 2], [20, 1], [30, 1]], 1/345600], [[[1, 1], [12, 2], [24, 1], [30, 1]], 13/414720], [[[1, 1], [15, 1], [20, 1], [24, 1]], 1/28800], [[[1, 1], [15, 1], [20, 1], [30, 1]], 1/2250], [[[1, 1], [15, 1], [24, 1], [30, 1]], 1/2700], [[[1, 1], [20, 1], [24, 1], [30, 1]], 1/28800], [[[1, 2], [2, 1], [3, 1], [4, 10]], 17/20547391979520], [[[1, 2], [2, 1], [3, 1], [5, 5]], 1/43200000], [[[1, 2], [2, 1], [3, 1], [6, 10]], 1/20897110425600], [[[1, 2], [2, 1], [3, 1], [8, 5]], 1/3932160], [[[1, 2], [2, 1], [3, 1], [12, 5]], 23/179159040], [[[1, 2], [2, 1], [3, 2], [6, 9]], 7/9287604633600], [[[1, 2], [2, 1], [3, 2], [9, 3]], 31/1259712], [[[1, 2], [2, 1], [3, 2], [27, 1]], 1/648], [[[1, 2], [2, 1], [3, 3], [4, 8]], 17/69347447930880], [[[1, 2], [2, 1], [3, 3], [5, 4]], 1/2799360000], [[[1, 2], [2, 1], [3, 3], [6, 8]], 1621/188073993830400], [[[1, 2], [2, 1], [3, 3], [8, 4]], 1/159252480], [[[1, 2], [2, 1], [3, 3], [10, 4]], 1/2799360000], [[[1, 2], [2, 1], [3, 3], [12, 4]], 1643/9674588160], [[[1, 2], [2, 1], [3, 3], [15, 2]], 1/6998400], [[[1, 2], [2, 1], [3, 3], [16, 2]], 1/1492992], [[[1, 2], [2, 1], [3, 3], [20, 2]], 1/1866240], [[[1, 2], [2, 1], [3, 3], [24, 2]], 1/1492992], [[[1, 2], [2, 1], [3, 3], [30, 2]], 1/6998400], [[[1, 2], [2, 1], [3, 3], [40, 1]], 1/155520], [[[1, 2], [2, 1], [3, 3], [48, 1]], 1/186624], [[[1, 2], [2, 1], [3, 3], [60, 1]], 1/233280], [[[1, 2], [2, 1], [3, 4], [4, 7]], 17/46231631953920], [[[1, 2], [2, 1], [3, 4], [6, 7]], 82621/125382662553600], [[[1, 2], [2, 1], [3, 5], [4, 6]], 1/8255648563200], [[[1, 2], [2, 1], [3, 5], [5, 3]], 1/5598720000], [[[1, 2], [2, 1], [3, 5], [6, 6]], 81821/10448555212800], [[[1, 2], [2, 1], [3, 5], [8, 3]], 1/2866544640], [[[1, 2], [2, 1], [3, 5], [9, 2]], 7/151165440], [[[1, 2], [2, 1], [3, 5], [12, 3]], 281/3224862720], [[[1, 2], [2, 1], [3, 6], [6, 5]], 81821/13931406950400], [[[1, 2], [2, 1], [3, 7], [4, 4]], 1/27862813900800], [[[1, 2], [2, 1], [3, 7], [5, 2]], 1/362797056000], [[[1, 2], [2, 1], [3, 7], [6, 4]], 82621/94036996915200], [[[1, 2], [2, 1], [3, 7], [8, 2]], 1/116095057920], [[[1, 2], [2, 1], [3, 7], [10, 2]], 1/362797056000], [[[1, 2], [2, 1], [3, 7], [12, 2]], 65/34828517376], [[[1, 2], [2, 1], [3, 7], [15, 1]], 1/18139852800], [[[1, 2], [2, 1], [3, 7], [20, 1]], 1/12093235200], [[[1, 2], [2, 1], [3, 7], [24, 1]], 1/14511882240], [[[1, 2], [2, 1], [3, 7], [30, 1]], 1/18139852800], [[[1, 2], [2, 1], [3, 8], [4, 3]], 1/74300837068800], [[[1, 2], [2, 1], [3, 8], [6, 3]], 1621/250765325107200], [[[1, 2], [2, 1], [3, 8], [7, 1]], 1/1354442342400], [[[1, 2], [2, 1], [3, 8], [9, 1]], 1/32248627200], [[[1, 2], [2, 1], [3, 8], [14, 1]], 1/2708884684800], [[[1, 2], [2, 1], [3, 8], [18, 1]], 1/3482851737600], [[[1, 2], [2, 1], [3, 9], [4, 2]], 1/55725627801600], [[[1, 2], [2, 1], [3, 9], [5, 1]], 1/2902376448000], [[[1, 2], [2, 1], [3, 9], [6, 2]], 7/6965703475200], [[[1, 2], [2, 1], [3, 9], [8, 1]], 1/4643802316800], [[[1, 2], [2, 1], [3, 9], [12, 1]], 7/1160950579200], [[[1, 2], [2, 1], [3, 10], [6, 1]], 1/27862813900800], [[[1, 2], [2, 1], [4, 1], [5, 5]], 1/57600000], [[[1, 2], [2, 1], [4, 1], [8, 5]], 259/94371840], [[[1, 2], [2, 1], [4, 1], [10, 5]], 1/57600000], [[[1, 2], [2, 1], [4, 1], [12, 5]], 7/13271040], [[[1, 2], [2, 1], [4, 3], [5, 4]], 1/1105920000], [[[1, 2], [2, 1], [4, 3], [6, 8]], 1/74300837068800], [[[1, 2], [2, 1], [4, 3], [8, 4]], 163/188743680], [[[1, 2], [2, 1], [4, 3], [10, 4]], 1/1105920000], [[[1, 2], [2, 1], [4, 3], [12, 4]], 7261/1274019840], [[[1, 2], [2, 1], [4, 3], [15, 2]], 1/2764800], [[[1, 2], [2, 1], [4, 3], [16, 2]], 1/589824], [[[1, 2], [2, 1], [4, 3], [20, 2]], 389/3686400], [[[1, 2], [2, 1], [4, 3], [24, 2]], 1/589824], [[[1, 2], [2, 1], [4, 3], [30, 2]], 1/2764800], [[[1, 2], [2, 1], [4, 3], [40, 1]], 1/61440], [[[1, 2], [2, 1], [4, 3], [48, 1]], 1/73728], [[[1, 2], [2, 1], [4, 3], [60, 1]], 1/92160], [[[1, 2], [2, 1], [4, 4], [6, 7]], 1/37150418534400], [[[1, 2], [2, 1], [4, 5], [5, 3]], 1/2211840000], [[[1, 2], [2, 1], [4, 5], [8, 3]], 953/754974720], [[[1, 2], [2, 1], [4, 5], [10, 3]], 1/2211840000], [[[1, 2], [2, 1], [4, 5], [12, 3]], 9073/637009920], [[[1, 2], [2, 1], [4, 5], [28, 1]], 61/5160960], [[[1, 2], [2, 1], [4, 5], [36, 1]], 7/2211840], [[[1, 2], [2, 1], [4, 7], [5, 2]], 17/178362777600], [[[1, 2], [2, 1], [4, 7], [6, 4]], 17/46231631953920], [[[1, 2], [2, 1], [4, 7], [8, 2]], 6133/285380444160], [[[1, 2], [2, 1], [4, 7], [10, 2]], 17/178362777600], [[[1, 2], [2, 1], [4, 7], [12, 2]], 3397/5284823040], [[[1, 2], [2, 1], [4, 7], [15, 1]], 17/8918138880], [[[1, 2], [2, 1], [4, 7], [16, 1]], 1/70778880], [[[1, 2], [2, 1], [4, 7], [20, 1]], 9493/29727129600], [[[1, 2], [2, 1], [4, 7], [24, 1]], 17/7134511104], [[[1, 2], [2, 1], [4, 7], [30, 1]], 17/8918138880], [[[1, 2], [2, 1], [4, 8], [6, 3]], 17/92463263907840], [[[1, 2], [2, 1], [4, 8], [7, 1]], 17/499415777280], [[[1, 2], [2, 1], [4, 8], [9, 1]], 17/963158999040], [[[1, 2], [2, 1], [4, 8], [14, 1]], 17/998831554560], [[[1, 2], [2, 1], [4, 8], [18, 1]], 17/1284211998720], [[[1, 2], [2, 1], [4, 9], [5, 1]], 17/1426902220800], [[[1, 2], [2, 1], [4, 9], [8, 1]], 8999/22830435532800], [[[1, 2], [2, 1], [4, 9], [10, 1]], 17/1426902220800], [[[1, 2], [2, 1], [4, 9], [12, 1]], 3551/1426902220800], [[[1, 2], [2, 1], [5, 2], [6, 7]], 1/483729408000], [[[1, 2], [2, 1], [5, 4], [6, 3]], 1/3732480000], [[[1, 2], [2, 1], [5, 4], [7, 1]], 1/20160000], [[[1, 2], [2, 1], [5, 4], [9, 1]], 1/38880000], [[[1, 2], [2, 1], [5, 4], [14, 1]], 1/40320000], [[[1, 2], [2, 1], [5, 4], [18, 1]], 1/51840000], [[[1, 2], [2, 1], [6, 1], [8, 5]], 1/3932160], [[[1, 2], [2, 1], [6, 1], [10, 5]], 1/86400000], [[[1, 2], [2, 1], [6, 1], [12, 5]], 23/238878720], [[[1, 2], [2, 1], [6, 2], [18, 3]], 1/419904], [[[1, 2], [2, 1], [6, 3], [8, 4]], 1/212336640], [[[1, 2], [2, 1], [6, 3], [10, 4]], 1/3732480000], [[[1, 2], [2, 1], [6, 3], [12, 4]], 1643/12899450880], [[[1, 2], [2, 1], [6, 3], [15, 2]], 1/9331200], [[[1, 2], [2, 1], [6, 3], [16, 2]], 1/1990656], [[[1, 2], [2, 1], [6, 3], [20, 2]], 1/2488320], [[[1, 2], [2, 1], [6, 3], [24, 2]], 1/1990656], [[[1, 2], [2, 1], [6, 3], [30, 2]], 1/9331200], [[[1, 2], [2, 1], [6, 3], [40, 1]], 1/207360], [[[1, 2], [2, 1], [6, 3], [48, 1]], 1/248832], [[[1, 2], [2, 1], [6, 3], [60, 1]], 1/311040], [[[1, 2], [2, 1], [6, 5], [8, 3]], 1/2866544640], [[[1, 2], [2, 1], [6, 5], [10, 3]], 1/11197440000], [[[1, 2], [2, 1], [6, 5], [12, 3]], 281/4299816960], [[[1, 2], [2, 1], [6, 5], [18, 2]], 7/201553920], [[[1, 2], [2, 1], [6, 7], [8, 2]], 1/154793410560], [[[1, 2], [2, 1], [6, 7], [10, 2]], 1/483729408000], [[[1, 2], [2, 1], [6, 7], [12, 2]], 65/46438023168], [[[1, 2], [2, 1], [6, 7], [15, 1]], 1/24186470400], [[[1, 2], [2, 1], [6, 7], [20, 1]], 1/16124313600], [[[1, 2], [2, 1], [6, 7], [24, 1]], 1/19349176320], [[[1, 2], [2, 1], [6, 7], [30, 1]], 1/24186470400], [[[1, 2], [2, 1], [6, 8], [7, 1]], 1/1354442342400], [[[1, 2], [2, 1], [6, 8], [9, 1]], 1/2612138803200], [[[1, 2], [2, 1], [6, 8], [14, 1]], 1/2708884684800], [[[1, 2], [2, 1], [6, 8], [18, 1]], 1/42998169600], [[[1, 2], [2, 1], [6, 9], [8, 1]], 1/4643802316800], [[[1, 2], [2, 1], [6, 9], [10, 1]], 1/5804752896000], [[[1, 2], [2, 1], [6, 9], [12, 1]], 7/1547934105600], [[[1, 2], [2, 1], [7, 1], [8, 4]], 1/1146880], [[[1, 2], [2, 1], [7, 1], [10, 4]], 1/20160000], [[[1, 2], [2, 1], [7, 1], [12, 4]], 23/69672960], [[[1, 2], [2, 1], [7, 1], [15, 2]], 1/50400], [[[1, 2], [2, 1], [7, 1], [16, 2]], 1/10752], [[[1, 2], [2, 1], [7, 1], [20, 2]], 1/13440], [[[1, 2], [2, 1], [7, 1], [24, 2]], 1/10752], [[[1, 2], [2, 1], [7, 1], [30, 2]], 1/50400], [[[1, 2], [2, 1], [7, 1], [40, 1]], 1/1120], [[[1, 2], [2, 1], [7, 1], [48, 1]], 1/1344], [[[1, 2], [2, 1], [7, 1], [60, 1]], 1/1680], [[[1, 2], [2, 1], [8, 4], [9, 1]], 1/2211840], [[[1, 2], [2, 1], [8, 4], [14, 1]], 1/2293760], [[[1, 2], [2, 1], [8, 4], [18, 1]], 1/2949120], [[[1, 2], [2, 1], [9, 1], [10, 4]], 1/38880000], [[[1, 2], [2, 1], [9, 1], [12, 4]], 23/134369280], [[[1, 2], [2, 1], [9, 1], [15, 2]], 1/97200], [[[1, 2], [2, 1], [9, 1], [16, 2]], 1/20736], [[[1, 2], [2, 1], [9, 1], [20, 2]], 1/25920], [[[1, 2], [2, 1], [9, 1], [24, 2]], 1/20736], [[[1, 2], [2, 1], [9, 1], [30, 2]], 1/97200], [[[1, 2], [2, 1], [9, 1], [40, 1]], 1/2160], [[[1, 2], [2, 1], [9, 1], [48, 1]], 1/2592], [[[1, 2], [2, 1], [9, 1], [60, 1]], 1/3240], [[[1, 2], [2, 1], [10, 4], [14, 1]], 1/40320000], [[[1, 2], [2, 1], [10, 4], [18, 1]], 1/51840000], [[[1, 2], [2, 1], [12, 4], [14, 1]], 23/139345920], [[[1, 2], [2, 1], [12, 4], [18, 1]], 23/179159040], [[[1, 2], [2, 1], [14, 1], [15, 2]], 1/100800], [[[1, 2], [2, 1], [14, 1], [16, 2]], 1/21504], [[[1, 2], [2, 1], [14, 1], [20, 2]], 1/26880], [[[1, 2], [2, 1], [14, 1], [24, 2]], 1/21504], [[[1, 2], [2, 1], [14, 1], [30, 2]], 1/100800], [[[1, 2], [2, 1], [14, 1], [40, 1]], 1/2240], [[[1, 2], [2, 1], [14, 1], [48, 1]], 1/2688], [[[1, 2], [2, 1], [14, 1], [60, 1]], 1/3360], [[[1, 2], [2, 1], [15, 2], [18, 1]], 1/129600], [[[1, 2], [2, 1], [16, 2], [18, 1]], 1/27648], [[[1, 2], [2, 1], [18, 1], [20, 2]], 1/34560], [[[1, 2], [2, 1], [18, 1], [24, 2]], 1/27648], [[[1, 2], [2, 1], [18, 1], [30, 2]], 1/129600], [[[1, 2], [2, 1], [18, 1], [40, 1]], 1/2880], [[[1, 2], [2, 1], [18, 1], [48, 1]], 1/3456], [[[1, 2], [2, 1], [18, 1], [60, 1]], 1/4320], [[[1, 2], [2, 3], [3, 1], [4, 9]], 17/2935341711360], [[[1, 2], [2, 3], [3, 1], [6, 9]], 11/1671768834048], [[[1, 2], [2, 3], [3, 1], [9, 3]], 1/279936], [[[1, 2], [2, 3], [3, 2], [4, 8]], 17/10273695989760], [[[1, 2], [2, 3], [3, 2], [5, 4]], 49/414720000], [[[1, 2], [2, 3], [3, 2], [6, 8]], 2041/27862813900800], [[[1, 2], [2, 3], [3, 2], [8, 4]], 43/70778880], [[[1, 2], [2, 3], [3, 2], [10, 4]], 1/414720000], [[[1, 2], [2, 3], [3, 2], [12, 4]], 563/1433272320], [[[1, 2], [2, 3], [3, 2], [15, 2]], 1/1036800], [[[1, 2], [2, 3], [3, 2], [16, 2]], 1/221184], [[[1, 2], [2, 3], [3, 2], [20, 2]], 1/276480], [[[1, 2], [2, 3], [3, 2], [24, 2]], 1/221184], [[[1, 2], [2, 3], [3, 2], [30, 2]], 1/1036800], [[[1, 2], [2, 3], [3, 2], [40, 1]], 1/23040], [[[1, 2], [2, 3], [3, 2], [48, 1]], 1/27648], [[[1, 2], [2, 3], [3, 2], [60, 1]], 1/34560], [[[1, 2], [2, 3], [3, 3], [4, 7]], 17/770527199232], [[[1, 2], [2, 3], [3, 3], [6, 7]], 16699/18807399383040], [[[1, 2], [2, 3], [3, 4], [4, 6]], 533/44030125670400], [[[1, 2], [2, 3], [3, 4], [5, 3]], 1/184320000], [[[1, 2], [2, 3], [3, 4], [6, 6]], 306463/25076532510720], [[[1, 2], [2, 3], [3, 4], [7, 2]], 1/487710720], [[[1, 2], [2, 3], [3, 4], [8, 3]], 487/22932357120], [[[1, 2], [2, 3], [3, 4], [9, 2]], 107/268738560], [[[1, 2], [2, 3], [3, 4], [10, 3]], 1/8957952000], [[[1, 2], [2, 3], [3, 4], [12, 3]], 59/143327232], [[[1, 2], [2, 3], [3, 4], [14, 2]], 1/162570240], [[[1, 2], [2, 3], [3, 4], [18, 2]], 1/483729408], [[[1, 2], [2, 3], [3, 5], [4, 5]], 7/8255648563200], [[[1, 2], [2, 3], [3, 5], [6, 5]], 7657/92876046336], [[[1, 2], [2, 3], [3, 6], [4, 4]], 13/12383472844800], [[[1, 2], [2, 3], [3, 6], [5, 2]], 17/32248627200], [[[1, 2], [2, 3], [3, 6], [6, 4]], 384703/41794220851200], [[[1, 2], [2, 3], [3, 6], [8, 2]], 49/51597803520], [[[1, 2], [2, 3], [3, 6], [10, 2]], 13/161243136000], [[[1, 2], [2, 3], [3, 6], [12, 2]], 1957/77396705280], [[[1, 2], [2, 3], [3, 6], [15, 1]], 13/8062156800], [[[1, 2], [2, 3], [3, 6], [20, 1]], 13/5374771200], [[[1, 2], [2, 3], [3, 6], [24, 1]], 13/6449725440], [[[1, 2], [2, 3], [3, 6], [30, 1]], 13/8062156800], [[[1, 2], [2, 3], [3, 7], [4, 3]], 1/619173642240], [[[1, 2], [2, 3], [3, 7], [6, 3]], 16699/18807399383040], [[[1, 2], [2, 3], [3, 7], [7, 1]], 1/22574039040], [[[1, 2], [2, 3], [3, 7], [9, 1]], 1/1074954240], [[[1, 2], [2, 3], [3, 7], [14, 1]], 1/9674588160], [[[1, 2], [2, 3], [3, 7], [18, 1]], 13/261213880320], [[[1, 2], [2, 3], [3, 8], [4, 2]], 29/297203348275200], [[[1, 2], [2, 3], [3, 8], [5, 1]], 161/7739670528000], [[[1, 2], [2, 3], [3, 8], [6, 2]], 1081/16717688340480], [[[1, 2], [2, 3], [3, 8], [8, 1]], 967/37150418534400], [[[1, 2], [2, 3], [3, 8], [10, 1]], 1/4643802316800], [[[1, 2], [2, 3], [3, 8], [12, 1]], 1/5159780352], [[[1, 2], [2, 3], [3, 9], [4, 1]], 7/55725627801600], [[[1, 2], [2, 3], [3, 9], [6, 1]], 11/1671768834048], [[[1, 2], [2, 3], [4, 1], [6, 9]], 1/6191736422400], [[[1, 2], [2, 3], [4, 2], [5, 4]], 1181/4423680000], [[[1, 2], [2, 3], [4, 2], [6, 8]], 223/99067782758400], [[[1, 2], [2, 3], [4, 2], [8, 4]], 12389/251658240], [[[1, 2], [2, 3], [4, 2], [10, 4]], 1181/4423680000], [[[1, 2], [2, 3], [4, 2], [12, 4]], 131227/15288238080], [[[1, 2], [2, 3], [4, 2], [15, 2]], 29/11059200], [[[1, 2], [2, 3], [4, 2], [16, 2]], 29/2359296], [[[1, 2], [2, 3], [4, 2], [20, 2]], 2449/14745600], [[[1, 2], [2, 3], [4, 2], [24, 2]], 29/2359296], [[[1, 2], [2, 3], [4, 2], [30, 2]], 29/11059200], [[[1, 2], [2, 3], [4, 2], [40, 1]], 29/245760], [[[1, 2], [2, 3], [4, 2], [48, 1]], 29/294912], [[[1, 2], [2, 3], [4, 2], [60, 1]], 29/368640], [[[1, 2], [2, 3], [4, 3], [6, 7]], 1/464380231680], [[[1, 2], [2, 3], [4, 4], [5, 3]], 121/4423680000], [[[1, 2], [2, 3], [4, 4], [6, 6]], 13/7430083706880], [[[1, 2], [2, 3], [4, 4], [7, 2]], 1/144506880], [[[1, 2], [2, 3], [4, 4], [8, 3]], 113107/6794772480], [[[1, 2], [2, 3], [4, 4], [9, 2]], 1/238878720], [[[1, 2], [2, 3], [4, 4], [10, 3]], 73/2654208000], [[[1, 2], [2, 3], [4, 4], [12, 3]], 16703/382205952], [[[1, 2], [2, 3], [4, 4], [14, 2]], 1/48168960], [[[1, 2], [2, 3], [4, 4], [18, 2]], 1/143327232], [[[1, 2], [2, 3], [4, 4], [28, 1]], 11/114688], [[[1, 2], [2, 3], [4, 4], [36, 1]], 41/1327104], [[[1, 2], [2, 3], [4, 5], [6, 5]], 23/2751882854400], [[[1, 2], [2, 3], [4, 6], [5, 2]], 1109/169869312000], [[[1, 2], [2, 3], [4, 6], [6, 4]], 853/44030125670400], [[[1, 2], [2, 3], [4, 6], [8, 2]], 99833/54358179840], [[[1, 2], [2, 3], [4, 6], [10, 2]], 1109/169869312000], [[[1, 2], [2, 3], [4, 6], [12, 2]], 550421/81537269760], [[[1, 2], [2, 3], [4, 6], [15, 1]], 533/8493465600], [[[1, 2], [2, 3], [4, 6], [16, 1]], 11/11796480], [[[1, 2], [2, 3], [4, 6], [20, 1]], 27413/5662310400], [[[1, 2], [2, 3], [4, 6], [24, 1]], 533/6794772480], [[[1, 2], [2, 3], [4, 6], [30, 1]], 533/8493465600], [[[1, 2], [2, 3], [4, 7], [6, 3]], 17/577895399424], [[[1, 2], [2, 3], [4, 7], [7, 1]], 17/8323596288], [[[1, 2], [2, 3], [4, 7], [9, 1]], 17/10701766656], [[[1, 2], [2, 3], [4, 7], [14, 1]], 17/4161798144], [[[1, 2], [2, 3], [4, 7], [18, 1]], 17/8026324992], [[[1, 2], [2, 3], [4, 8], [5, 1]], 4097/2853804441600], [[[1, 2], [2, 3], [4, 8], [6, 2]], 17/6164217593856], [[[1, 2], [2, 3], [4, 8], [8, 1]], 454511/13698261319680], [[[1, 2], [2, 3], [4, 8], [10, 1]], 493/342456532992], [[[1, 2], [2, 3], [4, 8], [12, 1]], 6721/85614133248], [[[1, 2], [2, 3], [4, 9], [6, 1]], 731/6849130659840], [[[1, 2], [2, 3], [5, 1], [6, 8]], 1/7739670528000], [[[1, 2], [2, 3], [5, 1], [8, 4]], 1/6553600], [[[1, 2], [2, 3], [5, 1], [10, 4]], 1/115200000], [[[1, 2], [2, 3], [5, 1], [12, 4]], 23/398131200], [[[1, 2], [2, 3], [5, 1], [15, 2]], 1/288000], [[[1, 2], [2, 3], [5, 1], [16, 2]], 1/61440], [[[1, 2], [2, 3], [5, 1], [20, 2]], 1/76800], [[[1, 2], [2, 3], [5, 1], [24, 2]], 1/61440], [[[1, 2], [2, 3], [5, 1], [30, 2]], 1/288000], [[[1, 2], [2, 3], [5, 1], [40, 1]], 1/6400], [[[1, 2], [2, 3], [5, 1], [48, 1]], 1/7680], [[[1, 2], [2, 3], [5, 1], [60, 1]], 1/9600], [[[1, 2], [2, 3], [5, 2], [6, 6]], 13/96745881600], [[[1, 2], [2, 3], [5, 2], [7, 2]], 1/1881600], [[[1, 2], [2, 3], [5, 2], [8, 3]], 7/88473600], [[[1, 2], [2, 3], [5, 2], [9, 2]], 1/3110400], [[[1, 2], [2, 3], [5, 2], [10, 3]], 301/34560000], [[[1, 2], [2, 3], [5, 2], [14, 2]], 1/627200], [[[1, 2], [2, 3], [5, 2], [18, 2]], 1/1866240], [[[1, 2], [2, 3], [5, 3], [6, 4]], 1/14929920000], [[[1, 2], [2, 3], [5, 3], [8, 2]], 1/18432000], [[[1, 2], [2, 3], [5, 3], [10, 2]], 301/57600000], [[[1, 2], [2, 3], [5, 3], [12, 2]], 1/27648000], [[[1, 2], [2, 3], [5, 3], [15, 1]], 1/2880000], [[[1, 2], [2, 3], [5, 3], [20, 1]], 1/1920000], [[[1, 2], [2, 3], [5, 3], [24, 1]], 1/2304000], [[[1, 2], [2, 3], [5, 3], [30, 1]], 1/2880000], [[[1, 2], [2, 3], [5, 4], [6, 2]], 1/248832000], [[[1, 2], [2, 3], [5, 4], [8, 1]], 7/552960000], [[[1, 2], [2, 3], [5, 4], [10, 1]], 1/69120000], [[[1, 2], [2, 3], [6, 1], [18, 3]], 5/839808], [[[1, 2], [2, 3], [6, 2], [8, 4]], 1/1572864], [[[1, 2], [2, 3], [6, 2], [10, 4]], 437/1244160000], [[[1, 2], [2, 3], [6, 2], [12, 4]], 563/859963392], [[[1, 2], [2, 3], [6, 2], [15, 2]], 1/622080], [[[1, 2], [2, 3], [6, 2], [16, 2]], 5/663552], [[[1, 2], [2, 3], [6, 2], [20, 2]], 1/165888], [[[1, 2], [2, 3], [6, 2], [24, 2]], 5/663552], [[[1, 2], [2, 3], [6, 2], [30, 2]], 1/622080], [[[1, 2], [2, 3], [6, 2], [40, 1]], 1/13824], [[[1, 2], [2, 3], [6, 2], [48, 1]], 5/82944], [[[1, 2], [2, 3], [6, 2], [60, 1]], 1/20736], [[[1, 2], [2, 3], [6, 4], [7, 2]], 1/487710720], [[[1, 2], [2, 3], [6, 4], [8, 3]], 647/22932357120], [[[1, 2], [2, 3], [6, 4], [9, 2]], 1/806215680], [[[1, 2], [2, 3], [6, 4], [10, 3]], 113/8957952000], [[[1, 2], [2, 3], [6, 4], [12, 3]], 295/429981696], [[[1, 2], [2, 3], [6, 4], [14, 2]], 1/162570240], [[[1, 2], [2, 3], [6, 4], [18, 2]], 107/161243136], [[[1, 2], [2, 3], [6, 6], [8, 2]], 173/154793410560], [[[1, 2], [2, 3], [6, 6], [10, 2]], 713/483729408000], [[[1, 2], [2, 3], [6, 6], [12, 2]], 1957/46438023168], [[[1, 2], [2, 3], [6, 6], [15, 1]], 13/4837294080], [[[1, 2], [2, 3], [6, 6], [20, 1]], 13/3224862720], [[[1, 2], [2, 3], [6, 6], [24, 1]], 13/3869835264], [[[1, 2], [2, 3], [6, 6], [30, 1]], 13/4837294080], [[[1, 2], [2, 3], [6, 7], [7, 1]], 1/13544423424], [[[1, 2], [2, 3], [6, 7], [9, 1]], 13/261213880320], [[[1, 2], [2, 3], [6, 7], [14, 1]], 1/9674588160], [[[1, 2], [2, 3], [6, 7], [18, 1]], 1/644972544], [[[1, 2], [2, 3], [6, 8], [8, 1]], 143/4127824281600], [[[1, 2], [2, 3], [6, 8], [10, 1]], 1/20639121408], [[[1, 2], [2, 3], [6, 8], [12, 1]], 5/15479341056], [[[1, 2], [2, 3], [7, 2], [8, 2]], 1/602112], [[[1, 2], [2, 3], [7, 2], [10, 2]], 1/1881600], [[[1, 2], [2, 3], [7, 2], [12, 2]], 1/903168], [[[1, 2], [2, 3], [7, 2], [15, 1]], 1/94080], [[[1, 2], [2, 3], [7, 2], [20, 1]], 1/62720], [[[1, 2], [2, 3], [7, 2], [24, 1]], 1/75264], [[[1, 2], [2, 3], [7, 2], [30, 1]], 1/94080], [[[1, 2], [2, 3], [8, 1], [10, 4]], 7/552960000], [[[1, 2], [2, 3], [8, 1], [12, 4]], 161/1911029760], [[[1, 2], [2, 3], [8, 1], [15, 2]], 7/1382400], [[[1, 2], [2, 3], [8, 1], [16, 2]], 7/294912], [[[1, 2], [2, 3], [8, 1], [20, 2]], 7/368640], [[[1, 2], [2, 3], [8, 1], [24, 2]], 7/294912], [[[1, 2], [2, 3], [8, 1], [30, 2]], 7/1382400], [[[1, 2], [2, 3], [8, 1], [40, 1]], 7/30720], [[[1, 2], [2, 3], [8, 1], [48, 1]], 7/36864], [[[1, 2], [2, 3], [8, 1], [60, 1]], 7/46080], [[[1, 2], [2, 3], [8, 2], [9, 2]], 1/995328], [[[1, 2], [2, 3], [8, 2], [10, 3]], 1/11059200], [[[1, 2], [2, 3], [8, 2], [14, 2]], 1/200704], [[[1, 2], [2, 3], [8, 2], [18, 2]], 5/2985984], [[[1, 2], [2, 3], [8, 3], [10, 2]], 7/88473600], [[[1, 2], [2, 3], [8, 3], [12, 2]], 7/42467328], [[[1, 2], [2, 3], [8, 3], [15, 1]], 7/4423680], [[[1, 2], [2, 3], [8, 3], [16, 1]], 1/98304], [[[1, 2], [2, 3], [8, 3], [20, 1]], 7/2949120], [[[1, 2], [2, 3], [8, 3], [24, 1]], 77/1179648], [[[1, 2], [2, 3], [8, 3], [30, 1]], 7/4423680], [[[1, 2], [2, 3], [8, 4], [10, 1]], 1/3932160], [[[1, 2], [2, 3], [9, 2], [10, 2]], 1/3110400], [[[1, 2], [2, 3], [9, 2], [12, 2]], 1/1492992], [[[1, 2], [2, 3], [9, 2], [15, 1]], 1/155520], [[[1, 2], [2, 3], [9, 2], [20, 1]], 1/103680], [[[1, 2], [2, 3], [9, 2], [24, 1]], 1/124416], [[[1, 2], [2, 3], [9, 2], [30, 1]], 1/155520], [[[1, 2], [2, 3], [10, 1], [12, 4]], 23/238878720], [[[1, 2], [2, 3], [10, 1], [15, 2]], 1/172800], [[[1, 2], [2, 3], [10, 1], [16, 2]], 1/36864], [[[1, 2], [2, 3], [10, 1], [20, 2]], 1/46080], [[[1, 2], [2, 3], [10, 1], [24, 2]], 1/36864], [[[1, 2], [2, 3], [10, 1], [30, 2]], 1/172800], [[[1, 2], [2, 3], [10, 1], [40, 1]], 1/3840], [[[1, 2], [2, 3], [10, 1], [48, 1]], 1/4608], [[[1, 2], [2, 3], [10, 1], [60, 1]], 1/5760], [[[1, 2], [2, 3], [10, 2], [14, 2]], 1/627200], [[[1, 2], [2, 3], [10, 2], [18, 2]], 1/1866240], [[[1, 2], [2, 3], [10, 3], [12, 2]], 1/16588800], [[[1, 2], [2, 3], [10, 3], [15, 1]], 1/1728000], [[[1, 2], [2, 3], [10, 3], [20, 1]], 1/1152000], [[[1, 2], [2, 3], [10, 3], [24, 1]], 1/1382400], [[[1, 2], [2, 3], [10, 3], [30, 1]], 1/1728000], [[[1, 2], [2, 3], [12, 2], [14, 2]], 1/301056], [[[1, 2], [2, 3], [12, 2], [18, 2]], 5/4478976], [[[1, 2], [2, 3], [14, 2], [15, 1]], 1/31360], [[[1, 2], [2, 3], [14, 2], [20, 1]], 3/62720], [[[1, 2], [2, 3], [14, 2], [24, 1]], 1/25088], [[[1, 2], [2, 3], [14, 2], [30, 1]], 1/31360], [[[1, 2], [2, 3], [15, 1], [18, 2]], 1/93312], [[[1, 2], [2, 3], [18, 2], [20, 1]], 1/62208], [[[1, 2], [2, 3], [18, 2], [24, 1]], 5/373248], [[[1, 2], [2, 3], [18, 2], [30, 1]], 1/93312], [[[1, 2], [2, 5], [3, 1], [4, 8]], 24749/246568703754240], [[[1, 2], [2, 5], [3, 1], [5, 4]], 1/9953280000], [[[1, 2], [2, 5], [3, 1], [6, 8]], 35627/222902511206400], [[[1, 2], [2, 5], [3, 1], [8, 4]], 3/20971520], [[[1, 2], [2, 5], [3, 1], [10, 4]], 1/9953280000], [[[1, 2], [2, 5], [3, 1], [12, 4]], 23/34398535680], [[[1, 2], [2, 5], [3, 1], [15, 2]], 1/24883200], [[[1, 2], [2, 5], [3, 1], [16, 2]], 1/5308416], [[[1, 2], [2, 5], [3, 1], [20, 2]], 1/6635520], [[[1, 2], [2, 5], [3, 1], [24, 2]], 1/5308416], [[[1, 2], [2, 5], [3, 1], [30, 2]], 1/24883200], [[[1, 2], [2, 5], [3, 1], [40, 1]], 1/552960], [[[1, 2], [2, 5], [3, 1], [48, 1]], 1/663552], [[[1, 2], [2, 5], [3, 1], [60, 1]], 1/829440], [[[1, 2], [2, 5], [3, 2], [6, 7]], 33691/27862813900800], [[[1, 2], [2, 5], [3, 3], [4, 6]], 1/330225942528], [[[1, 2], [2, 5], [3, 3], [6, 6]], 671741/60183678025728], [[[1, 2], [2, 5], [3, 3], [8, 3]], 1/382205952], [[[1, 2], [2, 5], [3, 3], [9, 2]], 1/80621568], [[[1, 2], [2, 5], [3, 3], [10, 3]], 17/5598720000], [[[1, 2], [2, 5], [3, 3], [12, 3]], 1/1146617856], [[[1, 2], [2, 5], [3, 3], [14, 2]], 5/12192768], [[[1, 2], [2, 5], [3, 3], [18, 2]], 11/181398528], [[[1, 2], [2, 5], [3, 4], [4, 5]], 757/73383542784000], [[[1, 2], [2, 5], [3, 4], [6, 5]], 15525587/835884417024000], [[[1, 2], [2, 5], [3, 5], [4, 4]], 751/99067782758400], [[[1, 2], [2, 5], [3, 5], [5, 2]], 1/1289945088000], [[[1, 2], [2, 5], [3, 5], [6, 4]], 7263217/111451255603200], [[[1, 2], [2, 5], [3, 5], [8, 2]], 73/412782428160], [[[1, 2], [2, 5], [3, 5], [10, 2]], 1/1289945088000], [[[1, 2], [2, 5], [3, 5], [12, 2]], 271/619173642240], [[[1, 2], [2, 5], [3, 5], [15, 1]], 1/64497254400], [[[1, 2], [2, 5], [3, 5], [20, 1]], 1/42998169600], [[[1, 2], [2, 5], [3, 5], [24, 1]], 1/51597803520], [[[1, 2], [2, 5], [3, 5], [30, 1]], 1/64497254400], [[[1, 2], [2, 5], [3, 6], [6, 3]], 627073/83588441702400], [[[1, 2], [2, 5], [3, 6], [9, 1]], 1/116095057920], [[[1, 2], [2, 5], [3, 6], [14, 1]], 13/7524679680], [[[1, 2], [2, 5], [3, 6], [18, 1]], 13/29023764480], [[[1, 2], [2, 5], [3, 7], [4, 2]], 1/1114512556032], [[[1, 2], [2, 5], [3, 7], [6, 2]], 23231/20061226008576], [[[1, 2], [2, 5], [3, 7], [8, 1]], 1/309586821120], [[[1, 2], [2, 5], [3, 7], [10, 1]], 17/1451188224000], [[[1, 2], [2, 5], [3, 7], [12, 1]], 1/619173642240], [[[1, 2], [2, 5], [3, 8], [4, 1]], 3221/1486016741376000], [[[1, 2], [2, 5], [3, 8], [6, 1]], 108017/1671768834048000], [[[1, 2], [2, 5], [4, 1], [5, 4]], 7/7372800000], [[[1, 2], [2, 5], [4, 1], [6, 8]], 6407/495338913792000], [[[1, 2], [2, 5], [4, 1], [8, 4]], 2221/1258291200], [[[1, 2], [2, 5], [4, 1], [10, 4]], 283/1474560000], [[[1, 2], [2, 5], [4, 1], [12, 4]], 161/25480396800], [[[1, 2], [2, 5], [4, 1], [15, 2]], 7/18432000], [[[1, 2], [2, 5], [4, 1], [16, 2]], 7/3932160], [[[1, 2], [2, 5], [4, 1], [20, 2]], 7/4915200], [[[1, 2], [2, 5], [4, 1], [24, 2]], 7/3932160], [[[1, 2], [2, 5], [4, 1], [30, 2]], 7/18432000], [[[1, 2], [2, 5], [4, 1], [40, 1]], 7/409600], [[[1, 2], [2, 5], [4, 1], [48, 1]], 7/491520], [[[1, 2], [2, 5], [4, 1], [60, 1]], 7/614400], [[[1, 2], [2, 5], [4, 2], [6, 7]], 239/1651129712640], [[[1, 2], [2, 5], [4, 3], [5, 3]], 13/884736000], [[[1, 2], [2, 5], [4, 3], [6, 6]], 253/1857520926720], [[[1, 2], [2, 5], [4, 3], [8, 3]], 28445/905969664], [[[1, 2], [2, 5], [4, 3], [10, 3]], 109/4423680000], [[[1, 2], [2, 5], [4, 3], [12, 3]], 749/3822059520], [[[1, 2], [2, 5], [4, 3], [14, 2]], 1/802816], [[[1, 2], [2, 5], [4, 3], [18, 2]], 7/35831808], [[[1, 2], [2, 5], [4, 3], [28, 1]], 191/10321920], [[[1, 2], [2, 5], [4, 3], [36, 1]], 107/13271040], [[[1, 2], [2, 5], [4, 4], [6, 5]], 95267/247669456896000], [[[1, 2], [2, 5], [4, 5], [5, 2]], 671/849346560000], [[[1, 2], [2, 5], [4, 5], [6, 4]], 138271/220150628352000], [[[1, 2], [2, 5], [4, 5], [8, 2]], 854051/271790899200], [[[1, 2], [2, 5], [4, 5], [10, 2]], 2783/849346560000], [[[1, 2], [2, 5], [4, 5], [12, 2]], 330911/407686348800], [[[1, 2], [2, 5], [4, 5], [15, 1]], 671/42467328000], [[[1, 2], [2, 5], [4, 5], [16, 1]], 13/28311552], [[[1, 2], [2, 5], [4, 5], [20, 1]], 10067/5662310400], [[[1, 2], [2, 5], [4, 5], [24, 1]], 671/33973862400], [[[1, 2], [2, 5], [4, 5], [30, 1]], 671/42467328000], [[[1, 2], [2, 5], [4, 6], [6, 3]], 1559/4403012567040], [[[1, 2], [2, 5], [4, 6], [7, 1]], 1/3397386240], [[[1, 2], [2, 5], [4, 6], [9, 1]], 1/4586471424], [[[1, 2], [2, 5], [4, 6], [14, 1]], 3211/47563407360], [[[1, 2], [2, 5], [4, 6], [18, 1]], 1079/61152952320], [[[1, 2], [2, 5], [4, 7], [5, 1]], 13/67947724800], [[[1, 2], [2, 5], [4, 7], [6, 2]], 787/550376570880], [[[1, 2], [2, 5], [4, 7], [8, 1]], 24601/913217421312], [[[1, 2], [2, 5], [4, 7], [10, 1]], 1021/1426902220800], [[[1, 2], [2, 5], [4, 7], [12, 1]], 5791/203843174400], [[[1, 2], [2, 5], [4, 8], [6, 1]], 2198629/616421759385600], [[[1, 2], [2, 5], [5, 1], [6, 7]], 1/193491763200], [[[1, 2], [2, 5], [5, 2], [6, 5]], 4817/3224862720000], [[[1, 2], [2, 5], [5, 3], [6, 3]], 1/746496000], [[[1, 2], [2, 5], [5, 3], [14, 1]], 1/2688000], [[[1, 2], [2, 5], [5, 3], [18, 1]], 1/10368000], [[[1, 2], [2, 5], [5, 4], [6, 1]], 17/24883200000], [[[1, 2], [2, 5], [6, 1], [8, 4]], 217/1415577600], [[[1, 2], [2, 5], [6, 1], [10, 4]], 2077/4976640000], [[[1, 2], [2, 5], [6, 1], [12, 4]], 391/85996339200], [[[1, 2], [2, 5], [6, 1], [15, 2]], 17/62208000], [[[1, 2], [2, 5], [6, 1], [16, 2]], 17/13271040], [[[1, 2], [2, 5], [6, 1], [20, 2]], 17/16588800], [[[1, 2], [2, 5], [6, 1], [24, 2]], 17/13271040], [[[1, 2], [2, 5], [6, 1], [30, 2]], 17/62208000], [[[1, 2], [2, 5], [6, 1], [40, 1]], 17/1382400], [[[1, 2], [2, 5], [6, 1], [48, 1]], 17/1658880], [[[1, 2], [2, 5], [6, 1], [60, 1]], 17/2073600], [[[1, 2], [2, 5], [6, 3], [7, 2]], 1/24385536], [[[1, 2], [2, 5], [6, 3], [8, 3]], 89/573308928], [[[1, 2], [2, 5], [6, 3], [9, 2]], 1/40310784], [[[1, 2], [2, 5], [6, 3], [10, 3]], 13649/5598720000], [[[1, 2], [2, 5], [6, 3], [12, 3]], 3377/2866544640], [[[1, 2], [2, 5], [6, 3], [14, 2]], 1/2032128], [[[1, 2], [2, 5], [6, 3], [18, 2]], 277/201553920], [[[1, 2], [2, 5], [6, 5], [8, 2]], 19397/1031956070400], [[[1, 2], [2, 5], [6, 5], [10, 2]], 355601/3224862720000], [[[1, 2], [2, 5], [6, 5], [12, 2]], 355007/1547934105600], [[[1, 2], [2, 5], [6, 5], [15, 1]], 4817/161243136000], [[[1, 2], [2, 5], [6, 5], [20, 1]], 4817/107495424000], [[[1, 2], [2, 5], [6, 5], [24, 1]], 4817/128994508800], [[[1, 2], [2, 5], [6, 5], [30, 1]], 4817/161243136000], [[[1, 2], [2, 5], [6, 6], [7, 1]], 13/8465264640], [[[1, 2], [2, 5], [6, 6], [9, 1]], 143/130606940160], [[[1, 2], [2, 5], [6, 6], [14, 1]], 143/33861058560], [[[1, 2], [2, 5], [6, 6], [18, 1]], 593/32248627200], [[[1, 2], [2, 5], [6, 7], [8, 1]], 41/51597803520], [[[1, 2], [2, 5], [6, 7], [10, 1]], 107/53747712000], [[[1, 2], [2, 5], [6, 7], [12, 1]], 2299/515978035200], [[[1, 2], [2, 5], [7, 1], [8, 3]], 1/4128768], [[[1, 2], [2, 5], [7, 1], [10, 3]], 1/3360000], [[[1, 2], [2, 5], [7, 1], [14, 2]], 1/2744], [[[1, 2], [2, 5], [7, 1], [18, 2]], 1/163296], [[[1, 2], [2, 5], [7, 2], [14, 1]], 1/87808], [[[1, 2], [2, 5], [7, 2], [18, 1]], 1/338688], [[[1, 2], [2, 5], [8, 3], [9, 1]], 1/5308416], [[[1, 2], [2, 5], [8, 3], [14, 1]], 1/516096], [[[1, 2], [2, 5], [8, 3], [18, 1]], 5/7962624], [[[1, 2], [2, 5], [9, 1], [10, 3]], 17/77760000], [[[1, 2], [2, 5], [9, 1], [14, 2]], 5/169344], [[[1, 2], [2, 5], [9, 1], [18, 2]], 65/2519424], [[[1, 2], [2, 5], [9, 2], [14, 1]], 1/145152], [[[1, 2], [2, 5], [9, 2], [18, 1]], 1/559872], [[[1, 2], [2, 5], [10, 3], [14, 1]], 1/1120000], [[[1, 2], [2, 5], [10, 3], [18, 1]], 29/77760000], [[[1, 2], [2, 5], [14, 1], [18, 2]], 11/653184], [[[1, 2], [2, 5], [14, 2], [18, 1]], 1/28224], [[[1, 2], [2, 7], [3, 1], [4, 7]], 19/978447237120], [[[1, 2], [2, 7], [3, 1], [6, 7]], 650297/21671077478400], [[[1, 2], [2, 7], [3, 2], [4, 6]], 1/54358179840], [[[1, 2], [2, 7], [3, 2], [6, 6]], 5682084641/6241270313779200], [[[1, 2], [2, 7], [3, 2], [9, 2]], 13/27088846848], [[[1, 2], [2, 7], [3, 2], [10, 3]], 1/414720000], [[[1, 2], [2, 7], [3, 2], [12, 3]], 13/385263599616], [[[1, 2], [2, 7], [3, 2], [14, 2]], 1/903168], [[[1, 2], [2, 7], [3, 2], [18, 2]], 1/13436928], [[[1, 2], [2, 7], [3, 3], [4, 5]], 17/1223059046400], [[[1, 2], [2, 7], [3, 3], [6, 5]], 26219287/752295975321600], [[[1, 2], [2, 7], [3, 4], [4, 4]], 3463/1331471000272896], [[[1, 2], [2, 7], [3, 4], [5, 2]], 13/433421549568000], [[[1, 2], [2, 7], [3, 4], [6, 4]], 696753163/22468573129605120], [[[1, 2], [2, 7], [3, 4], [8, 2]], 305/27738979172352], [[[1, 2], [2, 7], [3, 4], [10, 2]], 72589/433421549568000], [[[1, 2], [2, 7], [3, 4], [12, 2]], 3523/208042343792640], [[[1, 2], [2, 7], [3, 4], [15, 1]], 13/21671077478400], [[[1, 2], [2, 7], [3, 4], [20, 1]], 13/14447384985600], [[[1, 2], [2, 7], [3, 4], [24, 1]], 13/17336861982720], [[[1, 2], [2, 7], [3, 4], [30, 1]], 13/21671077478400], [[[1, 2], [2, 7], [3, 5], [4, 3]], 19/3302259425280], [[[1, 2], [2, 7], [3, 5], [6, 3]], 2226007/83588441702400], [[[1, 2], [2, 7], [3, 5], [9, 1]], 13/39007939461120], [[[1, 2], [2, 7], [3, 5], [14, 1]], 1/60197437440], [[[1, 2], [2, 7], [3, 5], [18, 1]], 1/232190115840], [[[1, 2], [2, 7], [3, 6], [4, 2]], 37/4953389137920], [[[1, 2], [2, 7], [3, 6], [6, 2]], 1951769/693474479308800], [[[1, 2], [2, 7], [3, 6], [10, 1]], 13/322486272000], [[[1, 2], [2, 7], [3, 6], [12, 1]], 13/208042343792640], [[[1, 2], [2, 7], [3, 7], [4, 1]], 1/12383472844800], [[[1, 2], [2, 7], [3, 7], [6, 1]], 517/752295975321600], [[[1, 2], [2, 7], [4, 1], [6, 7]], 391/1547934105600], [[[1, 2], [2, 7], [4, 2], [5, 3]], 17/8847360000], [[[1, 2], [2, 7], [4, 2], [6, 6]], 41501/24766945689600], [[[1, 2], [2, 7], [4, 2], [7, 2]], 1/57802752], [[[1, 2], [2, 7], [4, 2], [8, 3]], 15521/13589544960], [[[1, 2], [2, 7], [4, 2], [9, 2]], 1/95551488], [[[1, 2], [2, 7], [4, 2], [10, 3]], 3811/26542080000], [[[1, 2], [2, 7], [4, 2], [12, 3]], 2333/206391214080], [[[1, 2], [2, 7], [4, 2], [14, 2]], 67/19267584], [[[1, 2], [2, 7], [4, 2], [18, 2]], 29/95551488], [[[1, 2], [2, 7], [4, 2], [28, 1]], 821/1300561920], [[[1, 2], [2, 7], [4, 2], [36, 1]], 2333/5016453120], [[[1, 2], [2, 7], [4, 3], [6, 5]], 569633/148601674137600], [[[1, 2], [2, 7], [4, 4], [5, 2]], 235043/25684239974400], [[[1, 2], [2, 7], [4, 4], [6, 4]], 204530927/33286775006822400], [[[1, 2], [2, 7], [4, 4], [8, 2]], 24204583/41094783959040], [[[1, 2], [2, 7], [4, 4], [10, 2]], 597923/25684239974400], [[[1, 2], [2, 7], [4, 4], [12, 2]], 7974703/61642175938560], [[[1, 2], [2, 7], [4, 4], [15, 1]], 3463/256842399744], [[[1, 2], [2, 7], [4, 4], [16, 1]], 1/3932160], [[[1, 2], [2, 7], [4, 4], [20, 1]], 39941/122305904640], [[[1, 2], [2, 7], [4, 4], [24, 1]], 17315/1027369598976], [[[1, 2], [2, 7], [4, 4], [30, 1]], 3463/256842399744], [[[1, 2], [2, 7], [4, 5], [6, 3]], 20773/1375941427200], [[[1, 2], [2, 7], [4, 5], [7, 1]], 17/13212057600], [[[1, 2], [2, 7], [4, 5], [9, 1]], 17/16986931200], [[[1, 2], [2, 7], [4, 5], [14, 1]], 361/19818086400], [[[1, 2], [2, 7], [4, 5], [18, 1]], 103/19110297600], [[[1, 2], [2, 7], [4, 6], [5, 1]], 617/679477248000], [[[1, 2], [2, 7], [4, 6], [6, 2]], 102091/7338354278400], [[[1, 2], [2, 7], [4, 6], [8, 1]], 82409/3261490790400], [[[1, 2], [2, 7], [4, 6], [10, 1]], 5179/2038431744000], [[[1, 2], [2, 7], [4, 6], [12, 1]], 192149/9246326390784], [[[1, 2], [2, 7], [4, 7], [6, 1]], 809729/924632639078400], [[[1, 2], [2, 7], [5, 1], [6, 6]], 13/193491763200], [[[1, 2], [2, 7], [5, 1], [10, 3]], 1/115200000], [[[1, 2], [2, 7], [5, 1], [14, 2]], 1/250880], [[[1, 2], [2, 7], [5, 1], [18, 2]], 1/3732480], [[[1, 2], [2, 7], [5, 2], [6, 4]], 367273/86684309913600], [[[1, 2], [2, 7], [5, 2], [8, 2]], 61/21403533312], [[[1, 2], [2, 7], [5, 2], [10, 2]], 10927/238878720000], [[[1, 2], [2, 7], [5, 2], [12, 2]], 13/802632499200], [[[1, 2], [2, 7], [5, 2], [15, 1]], 13/83607552000], [[[1, 2], [2, 7], [5, 2], [20, 1]], 13/55738368000], [[[1, 2], [2, 7], [5, 2], [24, 1]], 13/66886041600], [[[1, 2], [2, 7], [5, 2], [30, 1]], 13/83607552000], [[[1, 2], [2, 7], [5, 3], [6, 2]], 1/248832000], [[[1, 2], [2, 7], [5, 3], [10, 1]], 1/115200000], [[[1, 2], [2, 7], [6, 2], [7, 2]], 1/8128512], [[[1, 2], [2, 7], [6, 2], [8, 3]], 29/716636160], [[[1, 2], [2, 7], [6, 2], [9, 2]], 1/13436928], [[[1, 2], [2, 7], [6, 2], [10, 3]], 63151/22394880000], [[[1, 2], [2, 7], [6, 2], [12, 3]], 31201/1926317998080], [[[1, 2], [2, 7], [6, 2], [14, 2]], 5/1354752], [[[1, 2], [2, 7], [6, 2], [18, 2]], 29851/45148078080], [[[1, 2], [2, 7], [6, 4], [8, 2]], 8127797/138694895861760], [[[1, 2], [2, 7], [6, 4], [10, 2]], 15125717/17336861982720], [[[1, 2], [2, 7], [6, 4], [12, 2]], 69069443/208042343792640], [[[1, 2], [2, 7], [6, 4], [15, 1]], 367273/4334215495680], [[[1, 2], [2, 7], [6, 4], [20, 1]], 367273/2889476997120], [[[1, 2], [2, 7], [6, 4], [24, 1]], 367273/3467372396544], [[[1, 2], [2, 7], [6, 4], [30, 1]], 367273/4334215495680], [[[1, 2], [2, 7], [6, 5], [7, 1]], 13219/1354442342400], [[[1, 2], [2, 7], [6, 5], [9, 1]], 4657/653034700800], [[[1, 2], [2, 7], [6, 5], [14, 1]], 110743/2708884684800], [[[1, 2], [2, 7], [6, 5], [18, 1]], 449867/7223692492800], [[[1, 2], [2, 7], [6, 6], [8, 1]], 4147/773967052800], [[[1, 2], [2, 7], [6, 6], [10, 1]], 37781/1934917632000], [[[1, 2], [2, 7], [6, 6], [12, 1]], 7013387/346737239654400], [[[1, 2], [2, 7], [7, 2], [10, 1]], 1/3763200], [[[1, 2], [2, 7], [8, 1], [10, 3]], 17/552960000], [[[1, 2], [2, 7], [8, 1], [14, 2]], 3/401408], [[[1, 2], [2, 7], [8, 1], [18, 2]], 13/17915904], [[[1, 2], [2, 7], [8, 2], [10, 2]], 74101/535088332800], [[[1, 2], [2, 7], [8, 2], [12, 2]], 1525/256842399744], [[[1, 2], [2, 7], [8, 2], [15, 1]], 305/5350883328], [[[1, 2], [2, 7], [8, 2], [20, 1]], 305/3567255552], [[[1, 2], [2, 7], [8, 2], [24, 1]], 647/7134511104], [[[1, 2], [2, 7], [8, 2], [30, 1]], 305/5350883328], [[[1, 2], [2, 7], [8, 3], [10, 1]], 17/176947200], [[[1, 2], [2, 7], [9, 2], [10, 1]], 1/6220800], [[[1, 2], [2, 7], [10, 1], [14, 2]], 1/78400], [[[1, 2], [2, 7], [10, 1], [18, 2]], 1/559872], [[[1, 2], [2, 7], [10, 2], [12, 2]], 72589/802632499200], [[[1, 2], [2, 7], [10, 2], [15, 1]], 72589/83607552000], [[[1, 2], [2, 7], [10, 2], [20, 1]], 72589/55738368000], [[[1, 2], [2, 7], [10, 2], [24, 1]], 72589/66886041600], [[[1, 2], [2, 7], [10, 2], [30, 1]], 72589/83607552000], [[[1, 2], [2, 7], [12, 1], [36, 1]], 13/501645312], [[[1, 2], [2, 7], [12, 2], [15, 1]], 13/40131624960], [[[1, 2], [2, 7], [12, 2], [20, 1]], 13/26754416640], [[[1, 2], [2, 7], [12, 2], [24, 1]], 169/32105299968], [[[1, 2], [2, 7], [12, 2], [30, 1]], 13/40131624960], [[[1, 2], [2, 7], [15, 1], [20, 1]], 13/2786918400], [[[1, 2], [2, 7], [15, 1], [24, 1]], 13/3344302080], [[[1, 2], [2, 7], [15, 1], [30, 1]], 13/261273600], [[[1, 2], [2, 7], [20, 1], [24, 1]], 13/2229534720], [[[1, 2], [2, 7], [20, 1], [30, 1]], 13/2786918400], [[[1, 2], [2, 7], [24, 1], [30, 1]], 13/3344302080], [[[1, 2], [2, 9], [3, 1], [4, 6]], 2363761/36985305563136000], [[[1, 2], [2, 9], [3, 1], [5, 3]], 61/25082265600000], [[[1, 2], [2, 9], [3, 1], [6, 6]], 3096277/743008370688000], [[[1, 2], [2, 9], [3, 1], [8, 3]], 121/12842119987200], [[[1, 2], [2, 9], [3, 1], [9, 2]], 13/290237644800], [[[1, 2], [2, 9], [3, 1], [10, 3]], 1/9953280000], [[[1, 2], [2, 9], [3, 1], [12, 3]], 13/2063912140800], [[[1, 2], [2, 9], [3, 1], [14, 2]], 1/21676032], [[[1, 2], [2, 9], [3, 1], [18, 2]], 1/322486272], [[[1, 2], [2, 9], [3, 2], [6, 5]], 99336953/8916100448256000], [[[1, 2], [2, 9], [3, 3], [4, 4]], 128263/17832200896512000], [[[1, 2], [2, 9], [3, 3], [5, 2]], 13/232190115840000], [[[1, 2], [2, 9], [3, 3], [6, 4]], 1357555343/60183678025728000], [[[1, 2], [2, 9], [3, 3], [8, 2]], 13/74300837068800], [[[1, 2], [2, 9], [3, 3], [10, 2]], 331789/232190115840000], [[[1, 2], [2, 9], [3, 3], [12, 2]], 143/22290251120640], [[[1, 2], [2, 9], [3, 3], [15, 1]], 13/11609505792000], [[[1, 2], [2, 9], [3, 3], [20, 1]], 13/7739670528000], [[[1, 2], [2, 9], [3, 3], [24, 1]], 13/9287604633600], [[[1, 2], [2, 9], [3, 3], [30, 1]], 13/11609505792000], [[[1, 2], [2, 9], [3, 4], [4, 3]], 3086491/166433875034112000], [[[1, 2], [2, 9], [3, 4], [6, 3]], 1270589273/80244904034304000], [[[1, 2], [2, 9], [3, 4], [7, 1]], 61/3033950846976000], [[[1, 2], [2, 9], [3, 4], [9, 1]], 533/835884417024000], [[[1, 2], [2, 9], [3, 4], [14, 1]], 4021/6067901693952000], [[[1, 2], [2, 9], [3, 4], [18, 1]], 203/1114512556032000], [[[1, 2], [2, 9], [3, 5], [4, 2]], 48511/124825406275584000], [[[1, 2], [2, 9], [3, 5], [5, 1]], 61/6501323243520000], [[[1, 2], [2, 9], [3, 5], [6, 2]], 19949/247669456896000], [[[1, 2], [2, 9], [3, 5], [8, 1]], 121/10402117189632000], [[[1, 2], [2, 9], [3, 5], [10, 1]], 1/2579890176000], [[[1, 2], [2, 9], [3, 5], [12, 1]], 143/1114512556032000], [[[1, 2], [2, 9], [3, 6], [6, 1]], 4769/26748301344768000], [[[1, 2], [2, 9], [4, 1], [5, 3]], 121/33443020800000], [[[1, 2], [2, 9], [4, 1], [6, 6]], 19343/12383472844800], [[[1, 2], [2, 9], [4, 1], [8, 3]], 17621/1268357529600], [[[1, 2], [2, 9], [4, 1], [10, 3]], 619037/6688604160000], [[[1, 2], [2, 9], [4, 1], [12, 3]], 121/4127824281600], [[[1, 2], [2, 9], [4, 1], [14, 2]], 23/48168960], [[[1, 2], [2, 9], [4, 1], [18, 2]], 1/26542080], [[[1, 2], [2, 9], [4, 1], [28, 1]], 121/78033715200], [[[1, 2], [2, 9], [4, 1], [36, 1]], 121/100329062400], [[[1, 2], [2, 9], [4, 2], [6, 5]], 3963319/693474479308800], [[[1, 2], [2, 9], [4, 3], [5, 2]], 62491/642105999360000], [[[1, 2], [2, 9], [4, 3], [6, 4]], 2802884891/166433875034112000], [[[1, 2], [2, 9], [4, 3], [8, 2]], 1675117/29353417113600], [[[1, 2], [2, 9], [4, 3], [10, 2]], 11456923/642105999360000], [[[1, 2], [2, 9], [4, 3], [12, 2]], 3113/8806025134080], [[[1, 2], [2, 9], [4, 3], [15, 1]], 62491/32105299968000], [[[1, 2], [2, 9], [4, 3], [16, 1]], 121/1070176665600], [[[1, 2], [2, 9], [4, 3], [20, 1]], 14047/4280706662400], [[[1, 2], [2, 9], [4, 3], [24, 1]], 62491/25684239974400], [[[1, 2], [2, 9], [4, 3], [30, 1]], 62491/32105299968000], [[[1, 2], [2, 9], [4, 4], [6, 3]], 442994993/23776267862016000], [[[1, 2], [2, 9], [4, 4], [7, 1]], 614311/898948399104000], [[[1, 2], [2, 9], [4, 4], [9, 1]], 128263/247669456896000], [[[1, 2], [2, 9], [4, 4], [14, 1]], 27153871/1797896798208000], [[[1, 2], [2, 9], [4, 4], [18, 1]], 1405553/330225942528000], [[[1, 2], [2, 9], [4, 5], [5, 1]], 1181371/2568423997440000], [[[1, 2], [2, 9], [4, 5], [6, 2]], 56329/11007531417600], [[[1, 2], [2, 9], [4, 5], [8, 1]], 5518259/1174136684544000], [[[1, 2], [2, 9], [4, 5], [10, 1]], 2967043/2568423997440000], [[[1, 2], [2, 9], [4, 5], [12, 1]], 487787/308210879692800], [[[1, 2], [2, 9], [4, 6], [6, 1]], 110627/123284351877120], [[[1, 2], [2, 9], [5, 1], [6, 5]], 2401/7739670528000], [[[1, 2], [2, 9], [5, 2], [6, 3]], 172043/309586821120000], [[[1, 2], [2, 9], [5, 2], [7, 1]], 61/11705057280000], [[[1, 2], [2, 9], [5, 2], [9, 1]], 13/3224862720000], [[[1, 2], [2, 9], [5, 2], [14, 1]], 4021/23410114560000], [[[1, 2], [2, 9], [5, 2], [18, 1]], 203/4299816960000], [[[1, 2], [2, 9], [5, 3], [6, 1]], 1/29859840000], [[[1, 2], [2, 9], [6, 1], [7, 2]], 1/975421440], [[[1, 2], [2, 9], [6, 1], [8, 3]], 12161/12842119987200], [[[1, 2], [2, 9], [6, 1], [9, 2]], 1/1612431360], [[[1, 2], [2, 9], [6, 1], [10, 3]], 4980481/10032906240000], [[[1, 2], [2, 9], [6, 1], [12, 3]], 203/2751882854400], [[[1, 2], [2, 9], [6, 1], [14, 2]], 127/325140480], [[[1, 2], [2, 9], [6, 1], [18, 2]], 4841/128994508800], [[[1, 2], [2, 9], [6, 3], [8, 2]], 1265003/99067782758400], [[[1, 2], [2, 9], [6, 3], [10, 2]], 125023499/309586821120000], [[[1, 2], [2, 9], [6, 3], [12, 2]], 131045/5944066965504], [[[1, 2], [2, 9], [6, 3], [15, 1]], 172043/15479341056000], [[[1, 2], [2, 9], [6, 3], [20, 1]], 172043/10319560704000], [[[1, 2], [2, 9], [6, 3], [24, 1]], 172043/12383472844800], [[[1, 2], [2, 9], [6, 3], [30, 1]], 172043/15479341056000], [[[1, 2], [2, 9], [6, 4], [7, 1]], 57366461/3033950846976000], [[[1, 2], [2, 9], [6, 4], [9, 1]], 11713613/835884417024000], [[[1, 2], [2, 9], [6, 4], [14, 1]], 657533621/6067901693952000], [[[1, 2], [2, 9], [6, 4], [18, 1]], 198961/4586471424000], [[[1, 2], [2, 9], [6, 5], [8, 1]], 13043129/1155790798848000], [[[1, 2], [2, 9], [6, 5], [10, 1]], 77577757/1444738498560000], [[[1, 2], [2, 9], [6, 5], [12, 1]], 14395411/495338913792000], [[[1, 2], [2, 9], [7, 1], [8, 2]], 61/3745618329600], [[[1, 2], [2, 9], [7, 1], [10, 2]], 1596733/11705057280000], [[[1, 2], [2, 9], [7, 1], [12, 2]], 61/5618427494400], [[[1, 2], [2, 9], [7, 1], [15, 1]], 61/585252864000], [[[1, 2], [2, 9], [7, 1], [20, 1]], 61/390168576000], [[[1, 2], [2, 9], [7, 1], [24, 1]], 61/468202291200], [[[1, 2], [2, 9], [7, 1], [30, 1]], 61/585252864000], [[[1, 2], [2, 9], [8, 2], [9, 1]], 13/1031956070400], [[[1, 2], [2, 9], [8, 2], [14, 1]], 457621/7491236659200], [[[1, 2], [2, 9], [8, 2], [18, 1]], 21803/1375941427200], [[[1, 2], [2, 9], [9, 1], [10, 2]], 331789/3224862720000], [[[1, 2], [2, 9], [9, 1], [12, 2]], 13/1547934105600], [[[1, 2], [2, 9], [9, 1], [15, 1]], 13/161243136000], [[[1, 2], [2, 9], [9, 1], [20, 1]], 13/107495424000], [[[1, 2], [2, 9], [9, 1], [24, 1]], 13/128994508800], [[[1, 2], [2, 9], [9, 1], [30, 1]], 13/161243136000], [[[1, 2], [2, 9], [10, 2], [14, 1]], 24825013/23410114560000], [[[1, 2], [2, 9], [10, 2], [18, 1]], 1472459/4299816960000], [[[1, 2], [2, 9], [12, 2], [14, 1]], 4021/11236854988800], [[[1, 2], [2, 9], [12, 2], [18, 1]], 203/2063912140800], [[[1, 2], [2, 9], [14, 1], [15, 1]], 4021/1170505728000], [[[1, 2], [2, 9], [14, 1], [20, 1]], 4021/780337152000], [[[1, 2], [2, 9], [14, 1], [24, 1]], 4021/936404582400], [[[1, 2], [2, 9], [14, 1], [30, 1]], 4021/1170505728000], [[[1, 2], [2, 9], [15, 1], [18, 1]], 203/214990848000], [[[1, 2], [2, 9], [18, 1], [20, 1]], 203/143327232000], [[[1, 2], [2, 9], [18, 1], [24, 1]], 203/171992678400], [[[1, 2], [2, 9], [18, 1], [30, 1]], 203/214990848000], [[[1, 2], [2, 11], [3, 1], [4, 5]], 1464877/36985305563136000], [[[1, 2], [2, 11], [3, 1], [6, 5]], 28416923/6241270313779200], [[[1, 2], [2, 11], [3, 2], [4, 4]], 803251/18492652781568000], [[[1, 2], [2, 11], [3, 2], [5, 2]], 1/9631589990400], [[[1, 2], [2, 11], [3, 2], [6, 4]], 330924401/62412703137792000], [[[1, 2], [2, 11], [3, 2], [8, 2]], 13/77052719923200], [[[1, 2], [2, 11], [3, 2], [10, 2]], 145153/240789749760000], [[[1, 2], [2, 11], [3, 2], [12, 2]], 19/115579079884800], [[[1, 2], [2, 11], [3, 2], [15, 1]], 1/12039487488000], [[[1, 2], [2, 11], [3, 2], [20, 1]], 1/8026324992000], [[[1, 2], [2, 11], [3, 2], [24, 1]], 1/9631589990400], [[[1, 2], [2, 11], [3, 2], [30, 1]], 1/12039487488000], [[[1, 2], [2, 11], [3, 3], [4, 3]], 1891/2773897917235200], [[[1, 2], [2, 11], [3, 3], [6, 3]], 51571549/84257149236019200], [[[1, 2], [2, 11], [3, 3], [7, 1]], 1/101131694899200], [[[1, 2], [2, 11], [3, 3], [9, 1]], 1/18575209267200], [[[1, 2], [2, 11], [3, 3], [14, 1]], 367/303395084697600], [[[1, 2], [2, 11], [3, 3], [18, 1]], 373/1170238183833600], [[[1, 2], [2, 11], [3, 4], [4, 2]], 1091/133147100027289600], [[[1, 2], [2, 11], [3, 4], [5, 1]], 1/214035333120000], [[[1, 2], [2, 11], [3, 4], [6, 2]], 2441081/187238109413376000], [[[1, 2], [2, 11], [3, 4], [8, 1]], 607/83216937517056000], [[[1, 2], [2, 11], [3, 4], [10, 1]], 41/2080423437926400], [[[1, 2], [2, 11], [3, 4], [12, 1]], 1/69347447930880], [[[1, 2], [2, 11], [3, 5], [4, 1]], 127/124825406275584000], [[[1, 2], [2, 11], [3, 5], [6, 1]], 283/6241270313779200], [[[1, 2], [2, 11], [4, 1], [6, 5]], 41619773/13869489586176000], [[[1, 2], [2, 11], [4, 2], [5, 2]], 6031/2568423997440000], [[[1, 2], [2, 11], [4, 2], [6, 4]], 1316407/328758271672320], [[[1, 2], [2, 11], [4, 2], [8, 2]], 743563/821895679180800], [[[1, 2], [2, 11], [4, 2], [10, 2]], 15392143/2568423997440000], [[[1, 2], [2, 11], [4, 2], [12, 2]], 7759/1232843518771200], [[[1, 2], [2, 11], [4, 2], [15, 1]], 1091/25684239974400], [[[1, 2], [2, 11], [4, 2], [16, 1]], 1/178362777600], [[[1, 2], [2, 11], [4, 2], [20, 1]], 5839/85614133248000], [[[1, 2], [2, 11], [4, 2], [24, 1]], 1091/20547391979520], [[[1, 2], [2, 11], [4, 2], [30, 1]], 1091/25684239974400], [[[1, 2], [2, 11], [4, 3], [6, 3]], 4874761/2080423437926400], [[[1, 2], [2, 11], [4, 3], [7, 1]], 1891/29964946636800], [[[1, 2], [2, 11], [4, 3], [9, 1]], 1891/38526359961600], [[[1, 2], [2, 11], [4, 3], [14, 1]], 32191/14982473318400], [[[1, 2], [2, 11], [4, 3], [18, 1]], 17041/28894769971200], [[[1, 2], [2, 11], [4, 4], [5, 1]], 274171/5136847994880000], [[[1, 2], [2, 11], [4, 4], [6, 2]], 56409131/55477958344704000], [[[1, 2], [2, 11], [4, 4], [8, 1]], 16128577/24656870375424000], [[[1, 2], [2, 11], [4, 4], [10, 1]], 1675951/3082108796928000], [[[1, 2], [2, 11], [4, 4], [12, 1]], 28243/308210879692800], [[[1, 2], [2, 11], [4, 5], [6, 1]], 2595889/12328435187712000], [[[1, 2], [2, 11], [5, 1], [6, 4]], 8108801/17336861982720000], [[[1, 2], [2, 11], [5, 1], [8, 2]], 1/21403533312000], [[[1, 2], [2, 11], [5, 1], [10, 2]], 145153/66886041600000], [[[1, 2], [2, 11], [5, 1], [12, 2]], 1/32105299968000], [[[1, 2], [2, 11], [5, 1], [15, 1]], 1/3344302080000], [[[1, 2], [2, 11], [5, 1], [20, 1]], 1/2229534720000], [[[1, 2], [2, 11], [5, 1], [24, 1]], 1/2675441664000], [[[1, 2], [2, 11], [5, 1], [30, 1]], 1/3344302080000], [[[1, 2], [2, 11], [5, 2], [6, 2]], 7481/722369249280000], [[[1, 2], [2, 11], [5, 2], [8, 1]], 127/321052999680000], [[[1, 2], [2, 11], [5, 2], [10, 1]], 41/8026324992000], [[[1, 2], [2, 11], [6, 2], [8, 2]], 178877/231158159769600], [[[1, 2], [2, 11], [6, 2], [10, 2]], 25997681/722369249280000], [[[1, 2], [2, 11], [6, 2], [12, 2]], 35291/346737239654400], [[[1, 2], [2, 11], [6, 2], [15, 1]], 7481/36118462464000], [[[1, 2], [2, 11], [6, 2], [20, 1]], 7481/24078974976000], [[[1, 2], [2, 11], [6, 2], [24, 1]], 7481/28894769971200], [[[1, 2], [2, 11], [6, 2], [30, 1]], 7481/36118462464000], [[[1, 2], [2, 11], [6, 3], [7, 1]], 59161/60679016939520], [[[1, 2], [2, 11], [6, 3], [9, 1]], 873973/1170238183833600], [[[1, 2], [2, 11], [6, 3], [14, 1]], 3901987/303395084697600], [[[1, 2], [2, 11], [6, 3], [18, 1]], 2713/687970713600], [[[1, 2], [2, 11], [6, 4], [8, 1]], 22392263/9246326390784000], [[[1, 2], [2, 11], [6, 4], [10, 1]], 1629421/128421199872000], [[[1, 2], [2, 11], [6, 4], [12, 1]], 334357/115579079884800], [[[1, 2], [2, 11], [7, 1], [9, 1]], 1/1404606873600], [[[1, 2], [2, 11], [7, 1], [14, 1]], 137/1092472012800], [[[1, 2], [2, 11], [7, 1], [18, 1]], 5/168552824832], [[[1, 2], [2, 11], [8, 1], [10, 2]], 3919231/321052999680000], [[[1, 2], [2, 11], [8, 1], [12, 2]], 127/154105439846400], [[[1, 2], [2, 11], [8, 1], [15, 1]], 127/16052649984000], [[[1, 2], [2, 11], [8, 1], [16, 1]], 1/356725555200], [[[1, 2], [2, 11], [8, 1], [20, 1]], 127/10701766656000], [[[1, 2], [2, 11], [8, 1], [24, 1]], 127/12842119987200], [[[1, 2], [2, 11], [8, 1], [30, 1]], 127/16052649984000], [[[1, 2], [2, 11], [8, 2], [10, 1]], 18349/12842119987200], [[[1, 2], [2, 11], [9, 1], [14, 1]], 367/4213820620800], [[[1, 2], [2, 11], [9, 1], [18, 1]], 61/2321901158400], [[[1, 2], [2, 11], [10, 1], [12, 2]], 41/3852635996160], [[[1, 2], [2, 11], [10, 1], [15, 1]], 41/401316249600], [[[1, 2], [2, 11], [10, 1], [20, 1]], 41/267544166400], [[[1, 2], [2, 11], [10, 1], [24, 1]], 41/321052999680], [[[1, 2], [2, 11], [10, 1], [30, 1]], 41/401316249600], [[[1, 2], [2, 11], [14, 1], [18, 1]], 4387/4213820620800], [[[1, 2], [2, 13], [3, 1], [4, 4]], 1408801/443823666757632000], [[[1, 2], [2, 13], [3, 1], [5, 2]], 1/5778953994240000], [[[1, 2], [2, 13], [3, 1], [6, 4]], 104202347/499301625102336000], [[[1, 2], [2, 13], [3, 1], [8, 2]], 73/1849265278156800], [[[1, 2], [2, 13], [3, 1], [10, 2]], 145153/5778953994240000], [[[1, 2], [2, 13], [3, 1], [12, 2]], 1/2773897917235200], [[[1, 2], [2, 13], [3, 1], [15, 1]], 1/288947699712000], [[[1, 2], [2, 13], [3, 1], [20, 1]], 1/192631799808000], [[[1, 2], [2, 13], [3, 1], [24, 1]], 1/231158159769600], [[[1, 2], [2, 13], [3, 1], [30, 1]], 1/288947699712000], [[[1, 2], [2, 13], [3, 2], [6, 3]], 6105541/124825406275584000], [[[1, 2], [2, 13], [3, 2], [9, 1]], 1/520105859481600], [[[1, 2], [2, 13], [3, 2], [14, 1]], 1/11236854988800], [[[1, 2], [2, 13], [3, 2], [18, 1]], 1/43342154956800], [[[1, 2], [2, 13], [3, 3], [4, 2]], 1/499301625102336], [[[1, 2], [2, 13], [3, 3], [6, 2]], 295037/269622877555261440], [[[1, 2], [2, 13], [3, 3], [8, 1]], 1/1386948958617600], [[[1, 2], [2, 13], [3, 3], [10, 1]], 197/6501323243520000], [[[1, 2], [2, 13], [3, 3], [12, 1]], 1/2773897917235200], [[[1, 2], [2, 13], [3, 4], [4, 1]], 1741/3328677500682240000], [[[1, 2], [2, 13], [3, 4], [6, 1]], 55421/11234286564802560000], [[[1, 2], [2, 13], [4, 1], [5, 2]], 47/4280706662400000], [[[1, 2], [2, 13], [4, 1], [6, 4]], 250947247/1109559166894080000], [[[1, 2], [2, 13], [4, 1], [8, 2]], 929/456608710656000], [[[1, 2], [2, 13], [4, 1], [10, 2]], 79687/171228266496000], [[[1, 2], [2, 13], [4, 1], [12, 2]], 47/2054739197952000], [[[1, 2], [2, 13], [4, 1], [15, 1]], 47/214035333120000], [[[1, 2], [2, 13], [4, 1], [20, 1]], 47/142690222080000], [[[1, 2], [2, 13], [4, 1], [24, 1]], 47/171228266496000], [[[1, 2], [2, 13], [4, 1], [30, 1]], 47/214035333120000], [[[1, 2], [2, 13], [4, 2], [6, 3]], 3085633/22191183337881600], [[[1, 2], [2, 13], [4, 2], [7, 1]], 67/359579359641600], [[[1, 2], [2, 13], [4, 2], [9, 1]], 1/6934744793088], [[[1, 2], [2, 13], [4, 2], [14, 1]], 32863/719158719283200], [[[1, 2], [2, 13], [4, 2], [18, 1]], 409/34245653299200], [[[1, 2], [2, 13], [4, 3], [5, 1]], 19/146767085568000], [[[1, 2], [2, 13], [4, 3], [6, 2]], 509161/8321693751705600], [[[1, 2], [2, 13], [4, 3], [8, 1]], 7027/469654673817600], [[[1, 2], [2, 13], [4, 3], [10, 1]], 326269/5136847994880000], [[[1, 2], [2, 13], [4, 3], [12, 1]], 947/3082108796928000], [[[1, 2], [2, 13], [4, 4], [6, 1]], 7363103/475525357240320000], [[[1, 2], [2, 13], [5, 1], [6, 3]], 6721/866843099136000], [[[1, 2], [2, 13], [5, 1], [14, 1]], 1/3121348608000], [[[1, 2], [2, 13], [5, 1], [18, 1]], 1/12039487488000], [[[1, 2], [2, 13], [5, 2], [6, 1]], 203/6191736422400000], [[[1, 2], [2, 13], [6, 1], [8, 2]], 77561/13869489586176000], [[[1, 2], [2, 13], [6, 1], [10, 2]], 6144361/8668430991360000], [[[1, 2], [2, 13], [6, 1], [12, 2]], 203/2972033482752000], [[[1, 2], [2, 13], [6, 1], [15, 1]], 203/309586821120000], [[[1, 2], [2, 13], [6, 1], [20, 1]], 203/206391214080000], [[[1, 2], [2, 13], [6, 1], [24, 1]], 203/247669456896000], [[[1, 2], [2, 13], [6, 1], [30, 1]], 203/309586821120000], [[[1, 2], [2, 13], [6, 2], [7, 1]], 307/37924385587200], [[[1, 2], [2, 13], [6, 2], [9, 1]], 3653/585119091916800], [[[1, 2], [2, 13], [6, 2], [14, 1]], 34877/151697542348800], [[[1, 2], [2, 13], [6, 2], [18, 1]], 9263/144473849856000], [[[1, 2], [2, 13], [6, 3], [8, 1]], 1661/19813556551680], [[[1, 2], [2, 13], [6, 3], [10, 1]], 1333273/2167107747840000], [[[1, 2], [2, 13], [6, 3], [12, 1]], 332047/6934744793088000], [[[1, 2], [2, 13], [7, 1], [8, 1]], 1/14982473318400], [[[1, 2], [2, 13], [7, 1], [10, 1]], 11/3901685760000], [[[1, 2], [2, 13], [8, 1], [9, 1]], 1/19263179980800], [[[1, 2], [2, 13], [8, 1], [14, 1]], 1/117050572800], [[[1, 2], [2, 13], [8, 1], [18, 1]], 13/5778953994240], [[[1, 2], [2, 13], [9, 1], [10, 1]], 197/90296156160000], [[[1, 2], [2, 13], [10, 1], [14, 1]], 73/650280960000], [[[1, 2], [2, 13], [10, 1], [18, 1]], 2759/90296156160000], [[[1, 2], [2, 15], [3, 1], [4, 3]], 139/14794122225254400], [[[1, 2], [2, 15], [3, 1], [6, 3]], 215279/124825406275584000], [[[1, 2], [2, 15], [3, 1], [9, 1]], 37/174755568785817600], [[[1, 2], [2, 15], [3, 1], [14, 1]], 1/269684519731200], [[[1, 2], [2, 15], [3, 1], [18, 1]], 1/1040211718963200], [[[1, 2], [2, 15], [3, 2], [4, 2]], 1/821895679180800], [[[1, 2], [2, 15], [3, 2], [6, 2]], 1433561/27960891005730816000], [[[1, 2], [2, 15], [3, 2], [10, 1]], 1/481579499520000], [[[1, 2], [2, 15], [3, 2], [12, 1]], 37/932029700191027200], [[[1, 2], [2, 15], [3, 3], [4, 1]], 1/55477958344704000], [[[1, 2], [2, 15], [3, 3], [6, 1]], 877/3370285969440768000], [[[1, 2], [2, 15], [4, 1], [6, 3]], 1621/433421549568000], [[[1, 2], [2, 15], [4, 1], [7, 1]], 1/599298932736000], [[[1, 2], [2, 15], [4, 1], [9, 1]], 1/770527199232000], [[[1, 2], [2, 15], [4, 1], [14, 1]], 71/299649466368000], [[[1, 2], [2, 15], [4, 1], [18, 1]], 1/16052649984000], [[[1, 2], [2, 15], [4, 2], [5, 1]], 17/10273695989760000], [[[1, 2], [2, 15], [4, 2], [6, 2]], 167071/110955916689408000], [[[1, 2], [2, 15], [4, 2], [8, 1]], 3413/49313740750848000], [[[1, 2], [2, 15], [4, 2], [10, 1]], 4873/4403012567040000], [[[1, 2], [2, 15], [4, 2], [12, 1]], 2453/1165037125238784000], [[[1, 2], [2, 15], [4, 3], [6, 1]], 286973/665735500136448000], [[[1, 2], [2, 15], [5, 1], [6, 2]], 31/866843099136000], [[[1, 2], [2, 15], [5, 1], [10, 1]], 1/133772083200000], [[[1, 2], [2, 15], [6, 1], [7, 1]], 79/6067901693952000], [[[1, 2], [2, 15], [6, 1], [9, 1]], 59/5851190919168000], [[[1, 2], [2, 15], [6, 1], [14, 1]], 8683/12135803387904000], [[[1, 2], [2, 15], [6, 1], [18, 1]], 6227/32362142367744000], [[[1, 2], [2, 15], [6, 2], [8, 1]], 367/577895399424000], [[[1, 2], [2, 15], [6, 2], [10, 1]], 21419/2889476997120000], [[[1, 2], [2, 15], [6, 2], [12, 1]], 223987/1553382833651712000], [[[1, 2], [2, 15], [8, 1], [10, 1]], 137/642105999360000], [[[1, 2], [2, 17], [3, 1], [4, 2]], 97021/1118435640229232640000], [[[1, 2], [2, 17], [3, 1], [5, 1]], 121/58251856261939200000], [[[1, 2], [2, 17], [3, 1], [6, 2]], 418567/139804455028654080000], [[[1, 2], [2, 17], [3, 1], [8, 1]], 241/93202970019102720000], [[[1, 2], [2, 17], [3, 1], [10, 1]], 1/11557907988480000], [[[1, 2], [2, 17], [3, 1], [12, 1]], 181/69902227514327040000], [[[1, 2], [2, 17], [3, 2], [6, 1]], 12121/559217820114616320000], [[[1, 2], [2, 17], [4, 1], [5, 1]], 241/77669141682585600000], [[[1, 2], [2, 17], [4, 1], [6, 2]], 1121/55477958344704000], [[[1, 2], [2, 17], [4, 1], [8, 1]], 54851/248541253384273920000], [[[1, 2], [2, 17], [4, 1], [10, 1]], 91373/15533828336517120000], [[[1, 2], [2, 17], [4, 1], [12, 1]], 241/46601485009551360000], [[[1, 2], [2, 17], [4, 2], [6, 1]], 5171/1035588555767808000], [[[1, 2], [2, 17], [5, 1], [6, 1]], 1/34673723965440000], [[[1, 2], [2, 17], [6, 1], [8, 1]], 10169/10355885557678080000], [[[1, 2], [2, 17], [6, 1], [10, 1]], 16943/862990463139840000], [[[1, 2], [2, 17], [6, 1], [12, 1]], 283/3451961852559360000], [[[1, 2], [2, 19], [3, 1], [4, 1]], 247/1118435640229232640000], [[[1, 2], [2, 19], [3, 1], [6, 1]], 29/23966478004912128000], [[[1, 2], [2, 19], [4, 1], [6, 1]], 677/24854125338427392000], [[[1, 3], [2, 2], [3, 1], [4, 9]], 731/6849130659840], [[[1, 3], [2, 2], [3, 1], [6, 9]], 11/1671768834048], [[[1, 3], [2, 2], [3, 1], [9, 3]], 5/839808], [[[1, 3], [2, 2], [3, 2], [4, 8]], 17/6164217593856], [[[1, 3], [2, 2], [3, 2], [5, 4]], 437/1244160000], [[[1, 3], [2, 2], [3, 2], [6, 8]], 1081/16717688340480], [[[1, 3], [2, 2], [3, 2], [8, 4]], 1/1572864], [[[1, 3], [2, 2], [3, 2], [10, 4]], 1/248832000], [[[1, 3], [2, 2], [3, 2], [12, 4]], 563/859963392], [[[1, 3], [2, 2], [3, 2], [15, 2]], 1/622080], [[[1, 3], [2, 2], [3, 2], [16, 2]], 5/663552], [[[1, 3], [2, 2], [3, 2], [20, 2]], 1/165888], [[[1, 3], [2, 2], [3, 2], [24, 2]], 5/663552], [[[1, 3], [2, 2], [3, 2], [30, 2]], 1/622080], [[[1, 3], [2, 2], [3, 2], [40, 1]], 1/13824], [[[1, 3], [2, 2], [3, 2], [48, 1]], 5/82944], [[[1, 3], [2, 2], [3, 2], [60, 1]], 1/20736], [[[1, 3], [2, 2], [3, 3], [4, 7]], 17/577895399424], [[[1, 3], [2, 2], [3, 3], [6, 7]], 16699/18807399383040], [[[1, 3], [2, 2], [3, 4], [4, 6]], 853/44030125670400], [[[1, 3], [2, 2], [3, 4], [5, 3]], 113/8957952000], [[[1, 3], [2, 2], [3, 4], [6, 6]], 384703/41794220851200], [[[1, 3], [2, 2], [3, 4], [7, 2]], 1/162570240], [[[1, 3], [2, 2], [3, 4], [8, 3]], 647/22932357120], [[[1, 3], [2, 2], [3, 4], [9, 2]], 107/161243136], [[[1, 3], [2, 2], [3, 4], [10, 3]], 1/14929920000], [[[1, 3], [2, 2], [3, 4], [12, 3]], 295/429981696], [[[1, 3], [2, 2], [3, 4], [14, 2]], 1/487710720], [[[1, 3], [2, 2], [3, 4], [18, 2]], 1/806215680], [[[1, 3], [2, 2], [3, 5], [4, 5]], 23/2751882854400], [[[1, 3], [2, 2], [3, 5], [6, 5]], 7657/92876046336], [[[1, 3], [2, 2], [3, 6], [4, 4]], 13/7430083706880], [[[1, 3], [2, 2], [3, 6], [5, 2]], 713/483729408000], [[[1, 3], [2, 2], [3, 6], [6, 4]], 306463/25076532510720], [[[1, 3], [2, 2], [3, 6], [8, 2]], 173/154793410560], [[[1, 3], [2, 2], [3, 6], [10, 2]], 13/96745881600], [[[1, 3], [2, 2], [3, 6], [12, 2]], 1957/46438023168], [[[1, 3], [2, 2], [3, 6], [15, 1]], 13/4837294080], [[[1, 3], [2, 2], [3, 6], [20, 1]], 13/3224862720], [[[1, 3], [2, 2], [3, 6], [24, 1]], 13/3869835264], [[[1, 3], [2, 2], [3, 6], [30, 1]], 13/4837294080], [[[1, 3], [2, 2], [3, 7], [4, 3]], 1/464380231680], [[[1, 3], [2, 2], [3, 7], [6, 3]], 16699/18807399383040], [[[1, 3], [2, 2], [3, 7], [7, 1]], 1/9674588160], [[[1, 3], [2, 2], [3, 7], [9, 1]], 1/644972544], [[[1, 3], [2, 2], [3, 7], [14, 1]], 1/13544423424], [[[1, 3], [2, 2], [3, 7], [18, 1]], 13/261213880320], [[[1, 3], [2, 2], [3, 8], [4, 2]], 223/99067782758400], [[[1, 3], [2, 2], [3, 8], [5, 1]], 1/20639121408], [[[1, 3], [2, 2], [3, 8], [6, 2]], 2041/27862813900800], [[[1, 3], [2, 2], [3, 8], [8, 1]], 143/4127824281600], [[[1, 3], [2, 2], [3, 8], [10, 1]], 1/7739670528000], [[[1, 3], [2, 2], [3, 8], [12, 1]], 5/15479341056], [[[1, 3], [2, 2], [3, 9], [4, 1]], 1/6191736422400], [[[1, 3], [2, 2], [3, 9], [6, 1]], 11/1671768834048], [[[1, 3], [2, 2], [4, 1], [6, 9]], 7/55725627801600], [[[1, 3], [2, 2], [4, 2], [5, 4]], 1181/4423680000], [[[1, 3], [2, 2], [4, 2], [6, 8]], 29/297203348275200], [[[1, 3], [2, 2], [4, 2], [8, 4]], 12389/251658240], [[[1, 3], [2, 2], [4, 2], [10, 4]], 1181/4423680000], [[[1, 3], [2, 2], [4, 2], [12, 4]], 131227/15288238080], [[[1, 3], [2, 2], [4, 2], [15, 2]], 29/11059200], [[[1, 3], [2, 2], [4, 2], [16, 2]], 29/2359296], [[[1, 3], [2, 2], [4, 2], [20, 2]], 2449/14745600], [[[1, 3], [2, 2], [4, 2], [24, 2]], 29/2359296], [[[1, 3], [2, 2], [4, 2], [30, 2]], 29/11059200], [[[1, 3], [2, 2], [4, 2], [40, 1]], 29/245760], [[[1, 3], [2, 2], [4, 2], [48, 1]], 29/294912], [[[1, 3], [2, 2], [4, 2], [60, 1]], 29/368640], [[[1, 3], [2, 2], [4, 3], [6, 7]], 1/619173642240], [[[1, 3], [2, 2], [4, 4], [5, 3]], 73/2654208000], [[[1, 3], [2, 2], [4, 4], [6, 6]], 13/12383472844800], [[[1, 3], [2, 2], [4, 4], [7, 2]], 1/48168960], [[[1, 3], [2, 2], [4, 4], [8, 3]], 113107/6794772480], [[[1, 3], [2, 2], [4, 4], [9, 2]], 1/143327232], [[[1, 3], [2, 2], [4, 4], [10, 3]], 121/4423680000], [[[1, 3], [2, 2], [4, 4], [12, 3]], 16703/382205952], [[[1, 3], [2, 2], [4, 4], [14, 2]], 1/144506880], [[[1, 3], [2, 2], [4, 4], [18, 2]], 1/238878720], [[[1, 3], [2, 2], [4, 4], [28, 1]], 11/114688], [[[1, 3], [2, 2], [4, 4], [36, 1]], 41/1327104], [[[1, 3], [2, 2], [4, 5], [6, 5]], 7/8255648563200], [[[1, 3], [2, 2], [4, 6], [5, 2]], 1109/169869312000], [[[1, 3], [2, 2], [4, 6], [6, 4]], 533/44030125670400], [[[1, 3], [2, 2], [4, 6], [8, 2]], 99833/54358179840], [[[1, 3], [2, 2], [4, 6], [10, 2]], 1109/169869312000], [[[1, 3], [2, 2], [4, 6], [12, 2]], 550421/81537269760], [[[1, 3], [2, 2], [4, 6], [15, 1]], 533/8493465600], [[[1, 3], [2, 2], [4, 6], [16, 1]], 11/11796480], [[[1, 3], [2, 2], [4, 6], [20, 1]], 27413/5662310400], [[[1, 3], [2, 2], [4, 6], [24, 1]], 533/6794772480], [[[1, 3], [2, 2], [4, 6], [30, 1]], 533/8493465600], [[[1, 3], [2, 2], [4, 7], [6, 3]], 17/770527199232], [[[1, 3], [2, 2], [4, 7], [7, 1]], 17/4161798144], [[[1, 3], [2, 2], [4, 7], [9, 1]], 17/8026324992], [[[1, 3], [2, 2], [4, 7], [14, 1]], 17/8323596288], [[[1, 3], [2, 2], [4, 7], [18, 1]], 17/10701766656], [[[1, 3], [2, 2], [4, 8], [5, 1]], 493/342456532992], [[[1, 3], [2, 2], [4, 8], [6, 2]], 17/10273695989760], [[[1, 3], [2, 2], [4, 8], [8, 1]], 454511/13698261319680], [[[1, 3], [2, 2], [4, 8], [10, 1]], 4097/2853804441600], [[[1, 3], [2, 2], [4, 8], [12, 1]], 6721/85614133248], [[[1, 3], [2, 2], [4, 9], [6, 1]], 17/2935341711360], [[[1, 3], [2, 2], [5, 1], [6, 8]], 1/4643802316800], [[[1, 3], [2, 2], [5, 1], [8, 4]], 1/3932160], [[[1, 3], [2, 2], [5, 1], [10, 4]], 1/69120000], [[[1, 3], [2, 2], [5, 1], [12, 4]], 23/238878720], [[[1, 3], [2, 2], [5, 1], [15, 2]], 1/172800], [[[1, 3], [2, 2], [5, 1], [16, 2]], 1/36864], [[[1, 3], [2, 2], [5, 1], [20, 2]], 1/46080], [[[1, 3], [2, 2], [5, 1], [24, 2]], 1/36864], [[[1, 3], [2, 2], [5, 1], [30, 2]], 1/172800], [[[1, 3], [2, 2], [5, 1], [40, 1]], 1/3840], [[[1, 3], [2, 2], [5, 1], [48, 1]], 1/4608], [[[1, 3], [2, 2], [5, 1], [60, 1]], 1/5760], [[[1, 3], [2, 2], [5, 2], [6, 6]], 13/161243136000], [[[1, 3], [2, 2], [5, 2], [7, 2]], 1/627200], [[[1, 3], [2, 2], [5, 2], [8, 3]], 7/88473600], [[[1, 3], [2, 2], [5, 2], [9, 2]], 1/1866240], [[[1, 3], [2, 2], [5, 2], [10, 3]], 301/57600000], [[[1, 3], [2, 2], [5, 2], [14, 2]], 1/1881600], [[[1, 3], [2, 2], [5, 2], [18, 2]], 1/3110400], [[[1, 3], [2, 2], [5, 3], [6, 4]], 1/8957952000], [[[1, 3], [2, 2], [5, 3], [8, 2]], 1/11059200], [[[1, 3], [2, 2], [5, 3], [10, 2]], 301/34560000], [[[1, 3], [2, 2], [5, 3], [12, 2]], 1/16588800], [[[1, 3], [2, 2], [5, 3], [15, 1]], 1/1728000], [[[1, 3], [2, 2], [5, 3], [20, 1]], 1/1152000], [[[1, 3], [2, 2], [5, 3], [24, 1]], 1/1382400], [[[1, 3], [2, 2], [5, 3], [30, 1]], 1/1728000], [[[1, 3], [2, 2], [5, 4], [6, 2]], 1/414720000], [[[1, 3], [2, 2], [5, 4], [8, 1]], 7/552960000], [[[1, 3], [2, 2], [5, 4], [10, 1]], 1/115200000], [[[1, 3], [2, 2], [6, 1], [18, 3]], 1/279936], [[[1, 3], [2, 2], [6, 2], [8, 4]], 43/70778880], [[[1, 3], [2, 2], [6, 2], [10, 4]], 49/414720000], [[[1, 3], [2, 2], [6, 2], [12, 4]], 563/1433272320], [[[1, 3], [2, 2], [6, 2], [15, 2]], 1/1036800], [[[1, 3], [2, 2], [6, 2], [16, 2]], 1/221184], [[[1, 3], [2, 2], [6, 2], [20, 2]], 1/276480], [[[1, 3], [2, 2], [6, 2], [24, 2]], 1/221184], [[[1, 3], [2, 2], [6, 2], [30, 2]], 1/1036800], [[[1, 3], [2, 2], [6, 2], [40, 1]], 1/23040], [[[1, 3], [2, 2], [6, 2], [48, 1]], 1/27648], [[[1, 3], [2, 2], [6, 2], [60, 1]], 1/34560], [[[1, 3], [2, 2], [6, 4], [7, 2]], 1/162570240], [[[1, 3], [2, 2], [6, 4], [8, 3]], 487/22932357120], [[[1, 3], [2, 2], [6, 4], [9, 2]], 1/483729408], [[[1, 3], [2, 2], [6, 4], [10, 3]], 1/184320000], [[[1, 3], [2, 2], [6, 4], [12, 3]], 59/143327232], [[[1, 3], [2, 2], [6, 4], [14, 2]], 1/487710720], [[[1, 3], [2, 2], [6, 4], [18, 2]], 107/268738560], [[[1, 3], [2, 2], [6, 6], [8, 2]], 49/51597803520], [[[1, 3], [2, 2], [6, 6], [10, 2]], 17/32248627200], [[[1, 3], [2, 2], [6, 6], [12, 2]], 1957/77396705280], [[[1, 3], [2, 2], [6, 6], [15, 1]], 13/8062156800], [[[1, 3], [2, 2], [6, 6], [20, 1]], 13/5374771200], [[[1, 3], [2, 2], [6, 6], [24, 1]], 13/6449725440], [[[1, 3], [2, 2], [6, 6], [30, 1]], 13/8062156800], [[[1, 3], [2, 2], [6, 7], [7, 1]], 1/9674588160], [[[1, 3], [2, 2], [6, 7], [9, 1]], 13/261213880320], [[[1, 3], [2, 2], [6, 7], [14, 1]], 1/22574039040], [[[1, 3], [2, 2], [6, 7], [18, 1]], 1/1074954240], [[[1, 3], [2, 2], [6, 8], [8, 1]], 967/37150418534400], [[[1, 3], [2, 2], [6, 8], [10, 1]], 161/7739670528000], [[[1, 3], [2, 2], [6, 8], [12, 1]], 1/5159780352], [[[1, 3], [2, 2], [7, 2], [8, 2]], 1/200704], [[[1, 3], [2, 2], [7, 2], [10, 2]], 1/627200], [[[1, 3], [2, 2], [7, 2], [12, 2]], 1/301056], [[[1, 3], [2, 2], [7, 2], [15, 1]], 1/31360], [[[1, 3], [2, 2], [7, 2], [20, 1]], 3/62720], [[[1, 3], [2, 2], [7, 2], [24, 1]], 1/25088], [[[1, 3], [2, 2], [7, 2], [30, 1]], 1/31360], [[[1, 3], [2, 2], [8, 1], [10, 4]], 7/552960000], [[[1, 3], [2, 2], [8, 1], [12, 4]], 161/1911029760], [[[1, 3], [2, 2], [8, 1], [15, 2]], 7/1382400], [[[1, 3], [2, 2], [8, 1], [16, 2]], 7/294912], [[[1, 3], [2, 2], [8, 1], [20, 2]], 7/368640], [[[1, 3], [2, 2], [8, 1], [24, 2]], 7/294912], [[[1, 3], [2, 2], [8, 1], [30, 2]], 7/1382400], [[[1, 3], [2, 2], [8, 1], [40, 1]], 7/30720], [[[1, 3], [2, 2], [8, 1], [48, 1]], 7/36864], [[[1, 3], [2, 2], [8, 1], [60, 1]], 7/46080], [[[1, 3], [2, 2], [8, 2], [9, 2]], 5/2985984], [[[1, 3], [2, 2], [8, 2], [10, 3]], 1/18432000], [[[1, 3], [2, 2], [8, 2], [14, 2]], 1/602112], [[[1, 3], [2, 2], [8, 2], [18, 2]], 1/995328], [[[1, 3], [2, 2], [8, 3], [10, 2]], 7/88473600], [[[1, 3], [2, 2], [8, 3], [12, 2]], 7/42467328], [[[1, 3], [2, 2], [8, 3], [15, 1]], 7/4423680], [[[1, 3], [2, 2], [8, 3], [16, 1]], 1/98304], [[[1, 3], [2, 2], [8, 3], [20, 1]], 7/2949120], [[[1, 3], [2, 2], [8, 3], [24, 1]], 77/1179648], [[[1, 3], [2, 2], [8, 3], [30, 1]], 7/4423680], [[[1, 3], [2, 2], [8, 4], [10, 1]], 1/6553600], [[[1, 3], [2, 2], [9, 2], [10, 2]], 1/1866240], [[[1, 3], [2, 2], [9, 2], [12, 2]], 5/4478976], [[[1, 3], [2, 2], [9, 2], [15, 1]], 1/93312], [[[1, 3], [2, 2], [9, 2], [20, 1]], 1/62208], [[[1, 3], [2, 2], [9, 2], [24, 1]], 5/373248], [[[1, 3], [2, 2], [9, 2], [30, 1]], 1/93312], [[[1, 3], [2, 2], [10, 1], [12, 4]], 23/398131200], [[[1, 3], [2, 2], [10, 1], [15, 2]], 1/288000], [[[1, 3], [2, 2], [10, 1], [16, 2]], 1/61440], [[[1, 3], [2, 2], [10, 1], [20, 2]], 1/76800], [[[1, 3], [2, 2], [10, 1], [24, 2]], 1/61440], [[[1, 3], [2, 2], [10, 1], [30, 2]], 1/288000], [[[1, 3], [2, 2], [10, 1], [40, 1]], 1/6400], [[[1, 3], [2, 2], [10, 1], [48, 1]], 1/7680], [[[1, 3], [2, 2], [10, 1], [60, 1]], 1/9600], [[[1, 3], [2, 2], [10, 2], [14, 2]], 1/1881600], [[[1, 3], [2, 2], [10, 2], [18, 2]], 1/3110400], [[[1, 3], [2, 2], [10, 3], [12, 2]], 1/27648000], [[[1, 3], [2, 2], [10, 3], [15, 1]], 1/2880000], [[[1, 3], [2, 2], [10, 3], [20, 1]], 1/1920000], [[[1, 3], [2, 2], [10, 3], [24, 1]], 1/2304000], [[[1, 3], [2, 2], [10, 3], [30, 1]], 1/2880000], [[[1, 3], [2, 2], [12, 2], [14, 2]], 1/903168], [[[1, 3], [2, 2], [12, 2], [18, 2]], 1/1492992], [[[1, 3], [2, 2], [14, 2], [15, 1]], 1/94080], [[[1, 3], [2, 2], [14, 2], [20, 1]], 1/62720], [[[1, 3], [2, 2], [14, 2], [24, 1]], 1/75264], [[[1, 3], [2, 2], [14, 2], [30, 1]], 1/94080], [[[1, 3], [2, 2], [15, 1], [18, 2]], 1/155520], [[[1, 3], [2, 2], [18, 2], [20, 1]], 1/103680], [[[1, 3], [2, 2], [18, 2], [24, 1]], 1/124416], [[[1, 3], [2, 2], [18, 2], [30, 1]], 1/155520], [[[1, 3], [2, 4], [3, 1], [4, 8]], 174857/246568703754240], [[[1, 3], [2, 4], [3, 1], [5, 4]], 1741/9953280000], [[[1, 3], [2, 4], [3, 1], [6, 8]], 84911/222902511206400], [[[1, 3], [2, 4], [3, 1], [8, 4]], 191/188743680], [[[1, 3], [2, 4], [3, 1], [10, 4]], 13/9953280000], [[[1, 3], [2, 4], [3, 1], [12, 4]], 299/34398535680], [[[1, 3], [2, 4], [3, 1], [15, 2]], 13/24883200], [[[1, 3], [2, 4], [3, 1], [16, 2]], 13/5308416], [[[1, 3], [2, 4], [3, 1], [20, 2]], 13/6635520], [[[1, 3], [2, 4], [3, 1], [24, 2]], 13/5308416], [[[1, 3], [2, 4], [3, 1], [30, 2]], 13/24883200], [[[1, 3], [2, 4], [3, 1], [40, 1]], 13/552960], [[[1, 3], [2, 4], [3, 1], [48, 1]], 13/663552], [[[1, 3], [2, 4], [3, 1], [60, 1]], 13/829440], [[[1, 3], [2, 4], [3, 2], [4, 7]], 11/47563407360], [[[1, 3], [2, 4], [3, 2], [6, 7]], 55921/16717688340480], [[[1, 3], [2, 4], [3, 3], [4, 6]], 9607/13209037701120], [[[1, 3], [2, 4], [3, 3], [5, 3]], 109/248832000], [[[1, 3], [2, 4], [3, 3], [6, 6]], 11130253/300918390128640], [[[1, 3], [2, 4], [3, 3], [7, 2]], 1/8128512], [[[1, 3], [2, 4], [3, 3], [8, 3]], 551/573308928], [[[1, 3], [2, 4], [3, 3], [9, 2]], 91/80621568], [[[1, 3], [2, 4], [3, 3], [10, 3]], 43/5598720000], [[[1, 3], [2, 4], [3, 3], [12, 3]], 1021/1146617856], [[[1, 3], [2, 4], [3, 3], [14, 2]], 1/2032128], [[[1, 3], [2, 4], [3, 3], [18, 2]], 13/90699264], [[[1, 3], [2, 4], [3, 4], [4, 5]], 2383/13209037701120], [[[1, 3], [2, 4], [3, 4], [6, 5]], 3342611/18575209267200], [[[1, 3], [2, 4], [3, 5], [4, 4]], 6883/99067782758400], [[[1, 3], [2, 4], [3, 5], [5, 2]], 36877/1289945088000], [[[1, 3], [2, 4], [3, 5], [6, 4]], 25045981/111451255603200], [[[1, 3], [2, 4], [3, 5], [8, 2]], 19237/412782428160], [[[1, 3], [2, 4], [3, 5], [10, 2]], 1453/1289945088000], [[[1, 3], [2, 4], [3, 5], [12, 2]], 108643/619173642240], [[[1, 3], [2, 4], [3, 5], [15, 1]], 1453/64497254400], [[[1, 3], [2, 4], [3, 5], [20, 1]], 1453/42998169600], [[[1, 3], [2, 4], [3, 5], [24, 1]], 1453/51597803520], [[[1, 3], [2, 4], [3, 5], [30, 1]], 1453/64497254400], [[[1, 3], [2, 4], [3, 6], [4, 3]], 1/13759414272], [[[1, 3], [2, 4], [3, 6], [6, 3]], 1659283/50153065021440], [[[1, 3], [2, 4], [3, 6], [7, 1]], 13/7524679680], [[[1, 3], [2, 4], [3, 6], [9, 1]], 1609/116095057920], [[[1, 3], [2, 4], [3, 6], [14, 1]], 13/2821754880], [[[1, 3], [2, 4], [3, 6], [18, 1]], 91/43535646720], [[[1, 3], [2, 4], [3, 7], [4, 2]], 107/8916100448256], [[[1, 3], [2, 4], [3, 7], [5, 1]], 53/64497254400], [[[1, 3], [2, 4], [3, 7], [6, 2]], 333391/100306130042880], [[[1, 3], [2, 4], [3, 7], [8, 1]], 479/464380231680], [[[1, 3], [2, 4], [3, 7], [10, 1]], 43/1451188224000], [[[1, 3], [2, 4], [3, 7], [12, 1]], 2077/619173642240], [[[1, 3], [2, 4], [3, 8], [4, 1]], 157/9906778275840], [[[1, 3], [2, 4], [3, 8], [6, 1]], 34243/111451255603200], [[[1, 3], [2, 4], [4, 1], [5, 4]], 1753/6635520000], [[[1, 3], [2, 4], [4, 1], [6, 8]], 727/29720334827520], [[[1, 3], [2, 4], [4, 1], [8, 4]], 829/75497472], [[[1, 3], [2, 4], [4, 1], [10, 4]], 581/1327104000], [[[1, 3], [2, 4], [4, 1], [12, 4]], 115/4586471424], [[[1, 3], [2, 4], [4, 1], [15, 2]], 1/663552], [[[1, 3], [2, 4], [4, 1], [16, 2]], 25/3538944], [[[1, 3], [2, 4], [4, 1], [20, 2]], 5/884736], [[[1, 3], [2, 4], [4, 1], [24, 2]], 25/3538944], [[[1, 3], [2, 4], [4, 1], [30, 2]], 1/663552], [[[1, 3], [2, 4], [4, 1], [40, 1]], 5/73728], [[[1, 3], [2, 4], [4, 1], [48, 1]], 25/442368], [[[1, 3], [2, 4], [4, 1], [60, 1]], 5/110592], [[[1, 3], [2, 4], [4, 2], [6, 7]], 37/371504185344], [[[1, 3], [2, 4], [4, 3], [5, 3]], 223/147456000], [[[1, 3], [2, 4], [4, 3], [6, 6]], 107/619173642240], [[[1, 3], [2, 4], [4, 3], [7, 2]], 1/2408448], [[[1, 3], [2, 4], [4, 3], [8, 3]], 232459/905969664], [[[1, 3], [2, 4], [4, 3], [9, 2]], 1/3981312], [[[1, 3], [2, 4], [4, 3], [10, 3]], 673/442368000], [[[1, 3], [2, 4], [4, 3], [12, 3]], 52289/1146617856], [[[1, 3], [2, 4], [4, 3], [14, 2]], 1/802816], [[[1, 3], [2, 4], [4, 3], [18, 2]], 5/11943936], [[[1, 3], [2, 4], [4, 3], [28, 1]], 137/1032192], [[[1, 3], [2, 4], [4, 3], [36, 1]], 311/3981312], [[[1, 3], [2, 4], [4, 4], [6, 5]], 811/5503765708800], [[[1, 3], [2, 4], [4, 5], [5, 2]], 61099/254803968000], [[[1, 3], [2, 4], [4, 5], [6, 4]], 8527/13209037701120], [[[1, 3], [2, 4], [4, 5], [8, 2]], 2877439/81537269760], [[[1, 3], [2, 4], [4, 5], [10, 2]], 2467/10192158720], [[[1, 3], [2, 4], [4, 5], [12, 2]], 631439/24461180928], [[[1, 3], [2, 4], [4, 5], [15, 1]], 1679/2548039680], [[[1, 3], [2, 4], [4, 5], [16, 1]], 199/17694720], [[[1, 3], [2, 4], [4, 5], [20, 1]], 43919/1698693120], [[[1, 3], [2, 4], [4, 5], [24, 1]], 1679/2038431744], [[[1, 3], [2, 4], [4, 5], [30, 1]], 1679/2548039680], [[[1, 3], [2, 4], [4, 6], [6, 3]], 569/550376570880], [[[1, 3], [2, 4], [4, 6], [7, 1]], 3211/47563407360], [[[1, 3], [2, 4], [4, 6], [9, 1]], 9607/183458856960], [[[1, 3], [2, 4], [4, 6], [14, 1]], 533/3963617280], [[[1, 3], [2, 4], [4, 6], [18, 1]], 533/7644119040], [[[1, 3], [2, 4], [4, 7], [5, 1]], 11363/237817036800], [[[1, 3], [2, 4], [4, 7], [6, 2]], 719/1284211998720], [[[1, 3], [2, 4], [4, 7], [8, 1]], 497549/652298158080], [[[1, 3], [2, 4], [4, 7], [10, 1]], 34429/713451110400], [[[1, 3], [2, 4], [4, 7], [12, 1]], 169241/183458856960], [[[1, 3], [2, 4], [4, 8], [6, 1]], 8147/1956894474240], [[[1, 3], [2, 4], [5, 1], [6, 7]], 7/290237644800], [[[1, 3], [2, 4], [5, 2], [6, 5]], 161/71663616000], [[[1, 3], [2, 4], [5, 3], [6, 3]], 7/1119744000], [[[1, 3], [2, 4], [5, 3], [7, 1]], 1/2688000], [[[1, 3], [2, 4], [5, 3], [9, 1]], 1/3456000], [[[1, 3], [2, 4], [5, 3], [14, 1]], 1/1008000], [[[1, 3], [2, 4], [5, 3], [18, 1]], 7/15552000], [[[1, 3], [2, 4], [5, 4], [6, 1]], 1/552960000], [[[1, 3], [2, 4], [6, 1], [8, 4]], 289/283115520], [[[1, 3], [2, 4], [6, 1], [10, 4]], 257/552960000], [[[1, 3], [2, 4], [6, 1], [12, 4]], 23/1911029760], [[[1, 3], [2, 4], [6, 1], [15, 2]], 1/1382400], [[[1, 3], [2, 4], [6, 1], [16, 2]], 1/294912], [[[1, 3], [2, 4], [6, 1], [20, 2]], 1/368640], [[[1, 3], [2, 4], [6, 1], [24, 2]], 1/294912], [[[1, 3], [2, 4], [6, 1], [30, 2]], 1/1382400], [[[1, 3], [2, 4], [6, 1], [40, 1]], 1/30720], [[[1, 3], [2, 4], [6, 1], [48, 1]], 1/36864], [[[1, 3], [2, 4], [6, 1], [60, 1]], 1/46080], [[[1, 3], [2, 4], [6, 3], [7, 2]], 1/4064256], [[[1, 3], [2, 4], [6, 3], [8, 3]], 313/286654464], [[[1, 3], [2, 4], [6, 3], [9, 2]], 7/60466176], [[[1, 3], [2, 4], [6, 3], [10, 3]], 209/124416000], [[[1, 3], [2, 4], [6, 3], [12, 3]], 113/63700992], [[[1, 3], [2, 4], [6, 3], [14, 2]], 5/12192768], [[[1, 3], [2, 4], [6, 3], [18, 2]], 29/13436928], [[[1, 3], [2, 4], [6, 5], [8, 2]], 1469/22932357120], [[[1, 3], [2, 4], [6, 5], [10, 2]], 6689/71663616000], [[[1, 3], [2, 4], [6, 5], [12, 2]], 11951/34398535680], [[[1, 3], [2, 4], [6, 5], [15, 1]], 161/3583180800], [[[1, 3], [2, 4], [6, 5], [20, 1]], 161/2388787200], [[[1, 3], [2, 4], [6, 5], [24, 1]], 161/2866544640], [[[1, 3], [2, 4], [6, 5], [30, 1]], 161/3583180800], [[[1, 3], [2, 4], [6, 6], [7, 1]], 143/33861058560], [[[1, 3], [2, 4], [6, 6], [9, 1]], 169/65303470080], [[[1, 3], [2, 4], [6, 6], [14, 1]], 13/2821754880], [[[1, 3], [2, 4], [6, 6], [18, 1]], 107/3869835264], [[[1, 3], [2, 4], [6, 7], [8, 1]], 397/232190115840], [[[1, 3], [2, 4], [6, 7], [10, 1]], 211/96745881600], [[[1, 3], [2, 4], [6, 7], [12, 1]], 691/103195607040], [[[1, 3], [2, 4], [7, 1], [8, 3]], 1/516096], [[[1, 3], [2, 4], [7, 1], [9, 2]], 1/145152], [[[1, 3], [2, 4], [7, 1], [10, 3]], 1/1120000], [[[1, 3], [2, 4], [7, 1], [14, 2]], 31/43904], [[[1, 3], [2, 4], [7, 1], [18, 2]], 11/653184], [[[1, 3], [2, 4], [7, 2], [9, 1]], 1/112896], [[[1, 3], [2, 4], [7, 2], [14, 1]], 1/2744], [[[1, 3], [2, 4], [7, 2], [18, 1]], 1/56448], [[[1, 3], [2, 4], [8, 3], [9, 1]], 11/7962624], [[[1, 3], [2, 4], [8, 3], [14, 1]], 1/294912], [[[1, 3], [2, 4], [8, 3], [18, 1]], 7/3981312], [[[1, 3], [2, 4], [9, 1], [10, 3]], 43/77760000], [[[1, 3], [2, 4], [9, 1], [14, 2]], 1/28224], [[[1, 3], [2, 4], [9, 1], [18, 2]], 121/1259712], [[[1, 3], [2, 4], [9, 2], [14, 1]], 1/54432], [[[1, 3], [2, 4], [9, 2], [18, 1]], 61/839808], [[[1, 3], [2, 4], [10, 3], [14, 1]], 1/1008000], [[[1, 3], [2, 4], [10, 3], [18, 1]], 1/1728000], [[[1, 3], [2, 4], [14, 1], [18, 2]], 1/54432], [[[1, 3], [2, 4], [14, 2], [18, 1]], 5/169344], [[[1, 3], [2, 6], [3, 1], [4, 7]], 351571/102736959897600], [[[1, 3], [2, 6], [3, 1], [6, 7]], 9367/1857520926720], [[[1, 3], [2, 6], [3, 2], [4, 6]], 353/1467670855680], [[[1, 3], [2, 6], [3, 2], [5, 3]], 1/497664000], [[[1, 3], [2, 6], [3, 2], [6, 6]], 2501688073/2674830134476800], [[[1, 3], [2, 6], [3, 2], [8, 3]], 5/15925248], [[[1, 3], [2, 6], [3, 2], [9, 2]], 91/2149908480], [[[1, 3], [2, 6], [3, 2], [10, 3]], 7/248832000], [[[1, 3], [2, 6], [3, 2], [12, 3]], 19/3397386240], [[[1, 3], [2, 6], [3, 2], [14, 2]], 11/2709504], [[[1, 3], [2, 6], [3, 2], [18, 2]], 23/40310784], [[[1, 3], [2, 6], [3, 3], [4, 5]], 29/114661785600], [[[1, 3], [2, 6], [3, 3], [6, 5]], 1390197461/150459195064320], [[[1, 3], [2, 6], [3, 4], [4, 4]], 423827/880602513408000], [[[1, 3], [2, 6], [3, 4], [5, 2]], 179/3822059520000], [[[1, 3], [2, 6], [3, 4], [6, 4]], 3867728401/8916100448256000], [[[1, 3], [2, 6], [3, 4], [8, 2]], 39457/3669177139200], [[[1, 3], [2, 6], [3, 4], [10, 2]], 6041/11466178560000], [[[1, 3], [2, 6], [3, 4], [12, 2]], 10109/1834588569600], [[[1, 3], [2, 6], [3, 4], [15, 1]], 179/191102976000], [[[1, 3], [2, 6], [3, 4], [20, 1]], 179/127401984000], [[[1, 3], [2, 6], [3, 4], [24, 1]], 179/152882380800], [[[1, 3], [2, 6], [3, 4], [30, 1]], 179/191102976000], [[[1, 3], [2, 6], [3, 5], [4, 3]], 1291/16511297126400], [[[1, 3], [2, 6], [3, 5], [6, 3]], 2101253/16717688340480], [[[1, 3], [2, 6], [3, 5], [7, 1]], 1/60197437440], [[[1, 3], [2, 6], [3, 5], [9, 1]], 1651/3095868211200], [[[1, 3], [2, 6], [3, 5], [14, 1]], 727/30098718720], [[[1, 3], [2, 6], [3, 5], [18, 1]], 91/14511882240], [[[1, 3], [2, 6], [3, 6], [4, 2]], 1469/14860167413760], [[[1, 3], [2, 6], [3, 6], [5, 1]], 1/128994508800], [[[1, 3], [2, 6], [3, 6], [6, 2]], 60758473/2674830134476800], [[[1, 3], [2, 6], [3, 6], [8, 1]], 7/51597803520], [[[1, 3], [2, 6], [3, 6], [10, 1]], 91/193491763200], [[[1, 3], [2, 6], [3, 6], [12, 1]], 1771/16511297126400], [[[1, 3], [2, 6], [3, 7], [4, 1]], 199/2321901158400], [[[1, 3], [2, 6], [3, 7], [6, 1]], 168671/150459195064320], [[[1, 3], [2, 6], [4, 1], [6, 7]], 30653/37150418534400], [[[1, 3], [2, 6], [4, 2], [5, 3]], 961/26542080000], [[[1, 3], [2, 6], [4, 2], [6, 6]], 43801/14860167413760], [[[1, 3], [2, 6], [4, 2], [7, 2]], 5/19267584], [[[1, 3], [2, 6], [4, 2], [8, 3]], 242111/13589544960], [[[1, 3], [2, 6], [4, 2], [9, 2]], 41/286654464], [[[1, 3], [2, 6], [4, 2], [10, 3]], 13627/8847360000], [[[1, 3], [2, 6], [4, 2], [12, 3]], 5369/22932357120], [[[1, 3], [2, 6], [4, 2], [14, 2]], 535/57802752], [[[1, 3], [2, 6], [4, 2], [18, 2]], 445/286654464], [[[1, 3], [2, 6], [4, 2], [28, 1]], 263/20643840], [[[1, 3], [2, 6], [4, 2], [36, 1]], 767/79626240], [[[1, 3], [2, 6], [4, 3], [6, 5]], 131573/16511297126400], [[[1, 3], [2, 6], [4, 4], [5, 2]], 1193081/10192158720000], [[[1, 3], [2, 6], [4, 4], [6, 4]], 25395961/2641807540224000], [[[1, 3], [2, 6], [4, 4], [8, 2]], 49119041/3261490790400], [[[1, 3], [2, 6], [4, 4], [10, 2]], 2730233/10192158720000], [[[1, 3], [2, 6], [4, 4], [12, 2]], 10411001/4892236185600], [[[1, 3], [2, 6], [4, 4], [15, 1]], 69881/509607936000], [[[1, 3], [2, 6], [4, 4], [16, 1]], 43/11796480], [[[1, 3], [2, 6], [4, 4], [20, 1]], 358117/67947724800], [[[1, 3], [2, 6], [4, 4], [24, 1]], 69881/407686348800], [[[1, 3], [2, 6], [4, 4], [30, 1]], 69881/509607936000], [[[1, 3], [2, 6], [4, 5], [6, 3]], 629509/33022594252800], [[[1, 3], [2, 6], [4, 5], [7, 1]], 361/19818086400], [[[1, 3], [2, 6], [4, 5], [9, 1]], 43/3185049600], [[[1, 3], [2, 6], [4, 5], [14, 1]], 85963/118908518400], [[[1, 3], [2, 6], [4, 5], [18, 1]], 89989/458647142400], [[[1, 3], [2, 6], [4, 6], [5, 1]], 24361/2038431744000], [[[1, 3], [2, 6], [4, 6], [6, 2]], 45013/1467670855680], [[[1, 3], [2, 6], [4, 6], [8, 1]], 1463159/3261490790400], [[[1, 3], [2, 6], [4, 6], [10, 1]], 19843/679477248000], [[[1, 3], [2, 6], [4, 6], [12, 1]], 989039/3669177139200], [[[1, 3], [2, 6], [4, 7], [6, 1]], 909469/20547391979520], [[[1, 3], [2, 6], [5, 1], [6, 6]], 299/580475289600], [[[1, 3], [2, 6], [5, 1], [8, 3]], 1/11796480], [[[1, 3], [2, 6], [5, 1], [10, 3]], 7/69120000], [[[1, 3], [2, 6], [5, 1], [14, 2]], 11/752640], [[[1, 3], [2, 6], [5, 1], [18, 2]], 23/11197440], [[[1, 3], [2, 6], [5, 2], [6, 4]], 366091/34398535680000], [[[1, 3], [2, 6], [5, 2], [8, 2]], 1571/42467328000], [[[1, 3], [2, 6], [5, 2], [10, 2]], 19823/132710400000], [[[1, 3], [2, 6], [5, 2], [12, 2]], 11/63700992000], [[[1, 3], [2, 6], [5, 2], [15, 1]], 11/6635520000], [[[1, 3], [2, 6], [5, 2], [20, 1]], 11/4423680000], [[[1, 3], [2, 6], [5, 2], [24, 1]], 11/5308416000], [[[1, 3], [2, 6], [5, 2], [30, 1]], 11/6635520000], [[[1, 3], [2, 6], [5, 3], [6, 2]], 23/746496000], [[[1, 3], [2, 6], [5, 3], [8, 1]], 1/36864000], [[[1, 3], [2, 6], [5, 3], [10, 1]], 7/69120000], [[[1, 3], [2, 6], [6, 2], [7, 2]], 1/903168], [[[1, 3], [2, 6], [6, 2], [8, 3]], 233/477757440], [[[1, 3], [2, 6], [6, 2], [9, 2]], 23/40310784], [[[1, 3], [2, 6], [6, 2], [10, 3]], 937/207360000], [[[1, 3], [2, 6], [6, 2], [12, 3]], 2059/30576476160], [[[1, 3], [2, 6], [6, 2], [14, 2]], 23/4064256], [[[1, 3], [2, 6], [6, 2], [18, 2]], 29/15925248], [[[1, 3], [2, 6], [6, 4], [8, 2]], 3977251/11007531417600], [[[1, 3], [2, 6], [6, 4], [10, 2]], 47322763/34398535680000], [[[1, 3], [2, 6], [6, 4], [12, 2]], 13916581/16511297126400], [[[1, 3], [2, 6], [6, 4], [15, 1]], 366091/1719926784000], [[[1, 3], [2, 6], [6, 4], [20, 1]], 366091/1146617856000], [[[1, 3], [2, 6], [6, 4], [24, 1]], 366091/1375941427200], [[[1, 3], [2, 6], [6, 4], [30, 1]], 366091/1719926784000], [[[1, 3], [2, 6], [6, 5], [7, 1]], 110743/2708884684800], [[[1, 3], [2, 6], [6, 5], [9, 1]], 56831/2089711042560], [[[1, 3], [2, 6], [6, 5], [14, 1]], 6031/75246796800], [[[1, 3], [2, 6], [6, 5], [18, 1]], 160601/1031956070400], [[[1, 3], [2, 6], [6, 6], [8, 1]], 22619/1160950579200], [[[1, 3], [2, 6], [6, 6], [10, 1]], 3733/96745881600], [[[1, 3], [2, 6], [6, 6], [12, 1]], 276313/5503765708800], [[[1, 3], [2, 6], [7, 2], [8, 1]], 1/1204224], [[[1, 3], [2, 6], [7, 2], [10, 1]], 13/3763200], [[[1, 3], [2, 6], [8, 1], [9, 2]], 1/1990656], [[[1, 3], [2, 6], [8, 1], [10, 3]], 23/138240000], [[[1, 3], [2, 6], [8, 1], [14, 2]], 11/602112], [[[1, 3], [2, 6], [8, 1], [18, 2]], 29/8957952], [[[1, 3], [2, 6], [8, 2], [10, 2]], 18083/42467328000], [[[1, 3], [2, 6], [8, 2], [12, 2]], 1571/20384317440], [[[1, 3], [2, 6], [8, 2], [15, 1]], 1571/2123366400], [[[1, 3], [2, 6], [8, 2], [16, 1]], 1/196608], [[[1, 3], [2, 6], [8, 2], [20, 1]], 1571/1415577600], [[[1, 3], [2, 6], [8, 2], [24, 1]], 641/566231040], [[[1, 3], [2, 6], [8, 2], [30, 1]], 1571/2123366400], [[[1, 3], [2, 6], [8, 3], [10, 1]], 23/44236800], [[[1, 3], [2, 6], [9, 2], [10, 1]], 7/3732480], [[[1, 3], [2, 6], [10, 1], [14, 2]], 19/940800], [[[1, 3], [2, 6], [10, 1], [18, 2]], 11/2332800], [[[1, 3], [2, 6], [10, 2], [12, 2]], 16523/63700992000], [[[1, 3], [2, 6], [10, 2], [15, 1]], 16523/6635520000], [[[1, 3], [2, 6], [10, 2], [20, 1]], 16523/4423680000], [[[1, 3], [2, 6], [10, 2], [24, 1]], 16523/5308416000], [[[1, 3], [2, 6], [10, 2], [30, 1]], 16523/6635520000], [[[1, 3], [2, 6], [12, 1], [36, 1]], 11/39813120], [[[1, 3], [2, 6], [12, 2], [15, 1]], 11/3185049600], [[[1, 3], [2, 6], [12, 2], [20, 1]], 11/2123366400], [[[1, 3], [2, 6], [12, 2], [24, 1]], 143/2548039680], [[[1, 3], [2, 6], [12, 2], [30, 1]], 11/3185049600], [[[1, 3], [2, 6], [15, 1], [20, 1]], 11/221184000], [[[1, 3], [2, 6], [15, 1], [24, 1]], 11/265420800], [[[1, 3], [2, 6], [15, 1], [30, 1]], 11/20736000], [[[1, 3], [2, 6], [20, 1], [24, 1]], 11/176947200], [[[1, 3], [2, 6], [20, 1], [30, 1]], 11/221184000], [[[1, 3], [2, 6], [24, 1], [30, 1]], 11/265420800], [[[1, 3], [2, 8], [3, 1], [4, 6]], 45576841/36985305563136000], [[[1, 3], [2, 8], [3, 1], [5, 3]], 4021/50164531200000], [[[1, 3], [2, 8], [3, 1], [6, 6]], 472438469/20804234379264000], [[[1, 3], [2, 8], [3, 1], [8, 3]], 1567/42807066624], [[[1, 3], [2, 8], [3, 1], [9, 2]], 11821/8126654054400], [[[1, 3], [2, 8], [3, 1], [10, 3]], 23/9953280000], [[[1, 3], [2, 8], [3, 1], [12, 3]], 11821/57789539942400], [[[1, 3], [2, 8], [3, 1], [14, 2]], 5/7225344], [[[1, 3], [2, 8], [3, 1], [18, 2]], 19/322486272], [[[1, 3], [2, 8], [3, 2], [4, 5]], 4369/3669177139200], [[[1, 3], [2, 8], [3, 2], [6, 5]], 21048173/234047636766720], [[[1, 3], [2, 8], [3, 3], [4, 4]], 79098871/499301625102336000], [[[1, 3], [2, 8], [3, 3], [5, 2]], 11821/6501323243520000], [[[1, 3], [2, 8], [3, 3], [6, 4]], 296969993231/1685142984720384000], [[[1, 3], [2, 8], [3, 3], [8, 2]], 1372621/2080423437926400], [[[1, 3], [2, 8], [3, 3], [10, 2]], 68378413/6501323243520000], [[[1, 3], [2, 8], [3, 3], [12, 2]], 130031/624127031377920], [[[1, 3], [2, 8], [3, 3], [15, 1]], 11821/325066162176000], [[[1, 3], [2, 8], [3, 3], [20, 1]], 11821/216710774784000], [[[1, 3], [2, 8], [3, 3], [24, 1]], 11821/260052929740800], [[[1, 3], [2, 8], [3, 3], [30, 1]], 11821/325066162176000], [[[1, 3], [2, 8], [3, 4], [4, 3]], 990131/2773897917235200], [[[1, 3], [2, 8], [3, 4], [6, 3]], 217205749/1170238183833600], [[[1, 3], [2, 8], [3, 4], [7, 1]], 4021/6067901693952000], [[[1, 3], [2, 8], [3, 4], [9, 1]], 484661/23404763676672000], [[[1, 3], [2, 8], [3, 4], [14, 1]], 50779/50565847449600], [[[1, 3], [2, 8], [3, 4], [18, 1]], 4237/16253308108800], [[[1, 3], [2, 8], [3, 5], [4, 2]], 42127591/124825406275584000], [[[1, 3], [2, 8], [3, 5], [5, 1]], 4021/13002646487040000], [[[1, 3], [2, 8], [3, 5], [6, 2]], 46532351/2311581597696000], [[[1, 3], [2, 8], [3, 5], [8, 1]], 11/6934744793088], [[[1, 3], [2, 8], [3, 5], [10, 1]], 1463/2579890176000], [[[1, 3], [2, 8], [3, 5], [12, 1]], 130031/31206351568896000], [[[1, 3], [2, 8], [3, 6], [4, 1]], 49/12383472844800], [[[1, 3], [2, 8], [3, 6], [6, 1]], 29261/702142910300160], [[[1, 3], [2, 8], [4, 1], [5, 3]], 443/557383680000], [[[1, 3], [2, 8], [4, 1], [6, 6]], 91333/12383472844800], [[[1, 3], [2, 8], [4, 1], [7, 2]], 1/48168960], [[[1, 3], [2, 8], [4, 1], [8, 3]], 1569163/4892236185600], [[[1, 3], [2, 8], [4, 1], [9, 2]], 1/79626240], [[[1, 3], [2, 8], [4, 1], [10, 3]], 74143/111476736000], [[[1, 3], [2, 8], [4, 1], [12, 3]], 13/13759414272], [[[1, 3], [2, 8], [4, 1], [14, 2]], 379/144506880], [[[1, 3], [2, 8], [4, 1], [18, 2]], 131/429981696], [[[1, 3], [2, 8], [4, 1], [28, 1]], 13/260112384], [[[1, 3], [2, 8], [4, 1], [36, 1]], 13/334430208], [[[1, 3], [2, 8], [4, 2], [6, 5]], 6224819/297203348275200], [[[1, 3], [2, 8], [4, 3], [5, 2]], 43063/2140353331200], [[[1, 3], [2, 8], [4, 3], [6, 4]], 166438771/2773897917235200], [[[1, 3], [2, 8], [4, 3], [8, 2]], 492149/489223618560], [[[1, 3], [2, 8], [4, 3], [10, 2]], 2416787/10701766656000], [[[1, 3], [2, 8], [4, 3], [12, 2]], 68021/733835427840], [[[1, 3], [2, 8], [4, 3], [15, 1]], 15731/535088332800], [[[1, 3], [2, 8], [4, 3], [16, 1]], 5231/17836277760], [[[1, 3], [2, 8], [4, 3], [20, 1]], 92467/356725555200], [[[1, 3], [2, 8], [4, 3], [24, 1]], 15731/428070666240], [[[1, 3], [2, 8], [4, 3], [30, 1]], 15731/535088332800], [[[1, 3], [2, 8], [4, 4], [6, 3]], 33836749/346737239654400], [[[1, 3], [2, 8], [4, 4], [7, 1]], 27153871/1797896798208000], [[[1, 3], [2, 8], [4, 4], [9, 1]], 79098871/6934744793088000], [[[1, 3], [2, 8], [4, 4], [14, 1]], 2417689/14982473318400], [[[1, 3], [2, 8], [4, 4], [18, 1]], 237547/4815794995200], [[[1, 3], [2, 8], [4, 5], [5, 1]], 452153/42807066624000], [[[1, 3], [2, 8], [4, 5], [6, 2]], 2380517/33022594252800], [[[1, 3], [2, 8], [4, 5], [8, 1]], 1174407991/8218956791808000], [[[1, 3], [2, 8], [4, 5], [10, 1]], 53057/1712282664960], [[[1, 3], [2, 8], [4, 5], [12, 1]], 343867/5136847994880], [[[1, 3], [2, 8], [4, 6], [6, 1]], 899777/88060251340800], [[[1, 3], [2, 8], [5, 1], [6, 5]], 76913/23219011584000], [[[1, 3], [2, 8], [5, 2], [6, 3]], 13939/4514807808000], [[[1, 3], [2, 8], [5, 2], [7, 1]], 4021/23410114560000], [[[1, 3], [2, 8], [5, 2], [9, 1]], 11821/90296156160000], [[[1, 3], [2, 8], [5, 2], [14, 1]], 379/195084288000], [[[1, 3], [2, 8], [5, 2], [18, 1]], 37/62705664000], [[[1, 3], [2, 8], [5, 3], [6, 1]], 113/89579520000], [[[1, 3], [2, 8], [6, 1], [7, 2]], 13/325140480], [[[1, 3], [2, 8], [6, 1], [8, 3]], 30281/642105999360], [[[1, 3], [2, 8], [6, 1], [9, 2]], 113/4837294080], [[[1, 3], [2, 8], [6, 1], [10, 3]], 8717/5160960000], [[[1, 3], [2, 8], [6, 1], [12, 3]], 37/40131624960], [[[1, 3], [2, 8], [6, 1], [14, 2]], 1459/975421440], [[[1, 3], [2, 8], [6, 1], [18, 2]], 797/3762339840], [[[1, 3], [2, 8], [6, 3], [8, 2]], 234187/1444738498560], [[[1, 3], [2, 8], [6, 3], [10, 2]], 5976259/4514807808000], [[[1, 3], [2, 8], [6, 3], [12, 2]], 266173/2167107747840], [[[1, 3], [2, 8], [6, 3], [15, 1]], 13939/225740390400], [[[1, 3], [2, 8], [6, 3], [20, 1]], 13939/150493593600], [[[1, 3], [2, 8], [6, 3], [24, 1]], 13939/180592312320], [[[1, 3], [2, 8], [6, 3], [30, 1]], 13939/225740390400], [[[1, 3], [2, 8], [6, 4], [7, 1]], 657533621/6067901693952000], [[[1, 3], [2, 8], [6, 4], [9, 1]], 1759352621/23404763676672000], [[[1, 3], [2, 8], [6, 4], [14, 1]], 16122779/50565847449600], [[[1, 3], [2, 8], [6, 4], [18, 1]], 32917/200658124800], [[[1, 3], [2, 8], [6, 5], [8, 1]], 30812081/520105859481600], [[[1, 3], [2, 8], [6, 5], [10, 1]], 17390269/108355387392000], [[[1, 3], [2, 8], [6, 5], [12, 1]], 749369/7223692492800], [[[1, 3], [2, 8], [7, 1], [8, 2]], 457621/7491236659200], [[[1, 3], [2, 8], [7, 1], [10, 2]], 24825013/23410114560000], [[[1, 3], [2, 8], [7, 1], [12, 2]], 4021/11236854988800], [[[1, 3], [2, 8], [7, 1], [15, 1]], 4021/1170505728000], [[[1, 3], [2, 8], [7, 1], [20, 1]], 4021/780337152000], [[[1, 3], [2, 8], [7, 1], [24, 1]], 4021/936404582400], [[[1, 3], [2, 8], [7, 1], [30, 1]], 4021/1170505728000], [[[1, 3], [2, 8], [8, 2], [9, 1]], 1372621/28894769971200], [[[1, 3], [2, 8], [8, 2], [14, 1]], 53299/62426972160], [[[1, 3], [2, 8], [8, 2], [18, 1]], 5077/20065812480], [[[1, 3], [2, 8], [9, 1], [10, 2]], 68378413/90296156160000], [[[1, 3], [2, 8], [9, 1], [12, 2]], 11821/43342154956800], [[[1, 3], [2, 8], [9, 1], [15, 1]], 11821/4514807808000], [[[1, 3], [2, 8], [9, 1], [20, 1]], 11821/3009871872000], [[[1, 3], [2, 8], [9, 1], [24, 1]], 11821/3611846246400], [[[1, 3], [2, 8], [9, 1], [30, 1]], 11821/4514807808000], [[[1, 3], [2, 8], [10, 2], [14, 1]], 701947/195084288000], [[[1, 3], [2, 8], [10, 2], [18, 1]], 88741/62705664000], [[[1, 3], [2, 8], [12, 2], [14, 1]], 379/93640458240], [[[1, 3], [2, 8], [12, 2], [18, 1]], 37/30098718720], [[[1, 3], [2, 8], [14, 1], [15, 1]], 379/9754214400], [[[1, 3], [2, 8], [14, 1], [20, 1]], 379/6502809600], [[[1, 3], [2, 8], [14, 1], [24, 1]], 379/7803371520], [[[1, 3], [2, 8], [14, 1], [30, 1]], 379/9754214400], [[[1, 3], [2, 8], [15, 1], [18, 1]], 37/3135283200], [[[1, 3], [2, 8], [18, 1], [20, 1]], 37/2090188800], [[[1, 3], [2, 8], [18, 1], [24, 1]], 37/2508226560], [[[1, 3], [2, 8], [18, 1], [30, 1]], 37/3135283200], [[[1, 3], [2, 10], [3, 1], [4, 5]], 3723191/4109478395904000], [[[1, 3], [2, 10], [3, 1], [6, 5]], 205014743/6241270313779200], [[[1, 3], [2, 10], [3, 2], [4, 4]], 12067723/11095591668940800], [[[1, 3], [2, 10], [3, 2], [5, 2]], 9221/722369249280000], [[[1, 3], [2, 10], [3, 2], [6, 4]], 2871309689/37447621882675200], [[[1, 3], [2, 10], [3, 2], [8, 2]], 4721/231158159769600], [[[1, 3], [2, 10], [3, 2], [10, 2]], 1887049/144473849856000], [[[1, 3], [2, 10], [3, 2], [12, 2]], 1387/69347447930880], [[[1, 3], [2, 10], [3, 2], [15, 1]], 73/7223692492800], [[[1, 3], [2, 10], [3, 2], [20, 1]], 73/4815794995200], [[[1, 3], [2, 10], [3, 2], [24, 1]], 73/5778953994240], [[[1, 3], [2, 10], [3, 2], [30, 1]], 73/7223692492800], [[[1, 3], [2, 10], [3, 3], [4, 3]], 184963/297203348275200], [[[1, 3], [2, 10], [3, 3], [6, 3]], 3448380289/84257149236019200], [[[1, 3], [2, 10], [3, 3], [7, 1]], 367/303395084697600], [[[1, 3], [2, 10], [3, 3], [9, 1]], 73/11145125560320], [[[1, 3], [2, 10], [3, 3], [14, 1]], 2437/60679016939520], [[[1, 3], [2, 10], [3, 3], [18, 1]], 12913/1170238183833600], [[[1, 3], [2, 10], [3, 4], [4, 2]], 449357/19021014289612800], [[[1, 3], [2, 10], [3, 4], [5, 1]], 1189/2080423437926400], [[[1, 3], [2, 10], [3, 4], [6, 2]], 4433203/4160846875852800], [[[1, 3], [2, 10], [3, 4], [8, 1]], 8981/11888133931008000], [[[1, 3], [2, 10], [3, 4], [10, 1]], 136231/5778953994240000], [[[1, 3], [2, 10], [3, 4], [12, 1]], 73/41608468758528], [[[1, 3], [2, 10], [3, 5], [4, 1]], 2803/41608468758528000], [[[1, 3], [2, 10], [3, 5], [6, 1]], 23383/6241270313779200], [[[1, 3], [2, 10], [4, 1], [6, 5]], 787006937/41608468758528000], [[[1, 3], [2, 10], [4, 2], [5, 2]], 273671/2568423997440000], [[[1, 3], [2, 10], [4, 2], [6, 4]], 148035433/3804202857922560], [[[1, 3], [2, 10], [4, 2], [8, 2]], 24922403/821895679180800], [[[1, 3], [2, 10], [4, 2], [10, 2]], 190809863/2568423997440000], [[[1, 3], [2, 10], [4, 2], [12, 2]], 482759/1232843518771200], [[[1, 3], [2, 10], [4, 2], [15, 1]], 8159/5136847994880], [[[1, 3], [2, 10], [4, 2], [16, 1]], 121/178362777600], [[[1, 3], [2, 10], [4, 2], [20, 1]], 35777/12230590464000], [[[1, 3], [2, 10], [4, 2], [24, 1]], 8159/4109478395904], [[[1, 3], [2, 10], [4, 2], [30, 1]], 8159/5136847994880], [[[1, 3], [2, 10], [4, 3], [6, 3]], 15434033/396271131033600], [[[1, 3], [2, 10], [4, 3], [7, 1]], 32191/14982473318400], [[[1, 3], [2, 10], [4, 3], [9, 1]], 6763/4127824281600], [[[1, 3], [2, 10], [4, 3], [14, 1]], 1006351/29964946636800], [[[1, 3], [2, 10], [4, 3], [18, 1]], 53873/5503765708800], [[[1, 3], [2, 10], [4, 4], [5, 1]], 29869/17612050268160], [[[1, 3], [2, 10], [4, 4], [6, 2]], 1452407/82189567918080], [[[1, 3], [2, 10], [4, 4], [8, 1]], 317220877/24656870375424000], [[[1, 3], [2, 10], [4, 4], [10, 1]], 2076443/244611809280000], [[[1, 3], [2, 10], [4, 4], [12, 1]], 965483/308210879692800], [[[1, 3], [2, 10], [4, 5], [6, 1]], 147220961/36985305563136000], [[[1, 3], [2, 10], [5, 1], [6, 4]], 67217993/10402117189632000], [[[1, 3], [2, 10], [5, 1], [8, 2]], 73/12842119987200], [[[1, 3], [2, 10], [5, 1], [10, 2]], 1887049/40131624960000], [[[1, 3], [2, 10], [5, 1], [12, 2]], 73/19263179980800], [[[1, 3], [2, 10], [5, 1], [15, 1]], 73/2006581248000], [[[1, 3], [2, 10], [5, 1], [20, 1]], 73/1337720832000], [[[1, 3], [2, 10], [5, 1], [24, 1]], 73/1605264998400], [[[1, 3], [2, 10], [5, 1], [30, 1]], 73/2006581248000], [[[1, 3], [2, 10], [5, 2], [6, 2]], 407/3210529996800], [[[1, 3], [2, 10], [5, 2], [8, 1]], 661/45864714240000], [[[1, 3], [2, 10], [5, 2], [10, 1]], 1831/22295347200000], [[[1, 3], [2, 10], [6, 2], [8, 2]], 426179/25684239974400], [[[1, 3], [2, 10], [6, 2], [10, 2]], 17740199/80263249920000], [[[1, 3], [2, 10], [6, 2], [12, 2]], 54221/38526359961600], [[[1, 3], [2, 10], [6, 2], [15, 1]], 407/160526499840], [[[1, 3], [2, 10], [6, 2], [20, 1]], 407/107017666560], [[[1, 3], [2, 10], [6, 2], [24, 1]], 407/128421199872], [[[1, 3], [2, 10], [6, 2], [30, 1]], 407/160526499840], [[[1, 3], [2, 10], [6, 3], [7, 1]], 3901987/303395084697600], [[[1, 3], [2, 10], [6, 3], [9, 1]], 11127793/1170238183833600], [[[1, 3], [2, 10], [6, 3], [14, 1]], 7895021/101131694899200], [[[1, 3], [2, 10], [6, 3], [18, 1]], 172271/6191736422400], [[[1, 3], [2, 10], [6, 4], [8, 1]], 253832501/11888133931008000], [[[1, 3], [2, 10], [6, 4], [10, 1]], 1197753733/17336861982720000], [[[1, 3], [2, 10], [6, 4], [12, 1]], 2320219/115579079884800], [[[1, 3], [2, 10], [7, 1], [9, 1]], 367/4213820620800], [[[1, 3], [2, 10], [7, 1], [14, 1]], 5837/1092472012800], [[[1, 3], [2, 10], [7, 1], [18, 1]], 4387/4213820620800], [[[1, 3], [2, 10], [8, 1], [10, 2]], 5744533/45864714240000], [[[1, 3], [2, 10], [8, 1], [12, 2]], 661/22015062835200], [[[1, 3], [2, 10], [8, 1], [15, 1]], 661/2293235712000], [[[1, 3], [2, 10], [8, 1], [16, 1]], 121/356725555200], [[[1, 3], [2, 10], [8, 1], [20, 1]], 661/1528823808000], [[[1, 3], [2, 10], [8, 1], [24, 1]], 661/1834588569600], [[[1, 3], [2, 10], [8, 1], [30, 1]], 661/2293235712000], [[[1, 3], [2, 10], [8, 2], [10, 1]], 233671/7134511104000], [[[1, 3], [2, 10], [9, 1], [14, 1]], 2437/842764124160], [[[1, 3], [2, 10], [9, 1], [18, 1]], 19447/16253308108800], [[[1, 3], [2, 10], [10, 1], [12, 2]], 1831/10701766656000], [[[1, 3], [2, 10], [10, 1], [15, 1]], 1831/1114767360000], [[[1, 3], [2, 10], [10, 1], [20, 1]], 1831/743178240000], [[[1, 3], [2, 10], [10, 1], [24, 1]], 1831/891813888000], [[[1, 3], [2, 10], [10, 1], [30, 1]], 1831/1114767360000], [[[1, 3], [2, 10], [14, 1], [18, 1]], 19181/1404606873600], [[[1, 3], [2, 12], [3, 1], [4, 4]], 54915013/443823666757632000], [[[1, 3], [2, 12], [3, 1], [5, 2]], 997/5778953994240000], [[[1, 3], [2, 12], [3, 1], [6, 4]], 1607185751/499301625102336000], [[[1, 3], [2, 12], [3, 1], [8, 2]], 9277/1849265278156800], [[[1, 3], [2, 12], [3, 1], [10, 2]], 684307/825564856320000], [[[1, 3], [2, 12], [3, 1], [12, 2]], 19/396271131033600], [[[1, 3], [2, 12], [3, 1], [15, 1]], 19/41278242816000], [[[1, 3], [2, 12], [3, 1], [20, 1]], 19/27518828544000], [[[1, 3], [2, 12], [3, 1], [24, 1]], 19/33022594252800], [[[1, 3], [2, 12], [3, 1], [30, 1]], 19/41278242816000], [[[1, 3], [2, 12], [3, 2], [4, 3]], 11467/184926527815680], [[[1, 3], [2, 12], [3, 2], [6, 3]], 160651279/74895243765350400], [[[1, 3], [2, 12], [3, 2], [7, 1]], 1/11236854988800], [[[1, 3], [2, 12], [3, 2], [9, 1]], 169/520105859481600], [[[1, 3], [2, 12], [3, 2], [14, 1]], 23/2106910310400], [[[1, 3], [2, 12], [3, 2], [18, 1]], 187/65013232435200], [[[1, 3], [2, 12], [3, 3], [4, 2]], 98323/199720650040934400], [[[1, 3], [2, 12], [3, 3], [5, 1]], 13/288947699712000], [[[1, 3], [2, 12], [3, 3], [6, 2]], 111431269/1348114387776307200], [[[1, 3], [2, 12], [3, 3], [8, 1]], 299/2080423437926400], [[[1, 3], [2, 12], [3, 3], [10, 1]], 7753/6501323243520000], [[[1, 3], [2, 12], [3, 3], [12, 1]], 277/2773897917235200], [[[1, 3], [2, 12], [3, 4], [4, 1]], 1801/28531521434419200], [[[1, 3], [2, 12], [3, 4], [6, 1]], 24731/35664401793024000], [[[1, 3], [2, 12], [4, 1], [5, 2]], 397/550376570880000], [[[1, 3], [2, 12], [4, 1], [6, 4]], 198124949/66573550013644800], [[[1, 3], [2, 12], [4, 1], [8, 2]], 34921/176120502681600], [[[1, 3], [2, 12], [4, 1], [10, 2]], 796457/110075314176000], [[[1, 3], [2, 12], [4, 1], [12, 2]], 383/369853055631360], [[[1, 3], [2, 12], [4, 1], [15, 1]], 383/38526359961600], [[[1, 3], [2, 12], [4, 1], [16, 1]], 1/1070176665600], [[[1, 3], [2, 12], [4, 1], [20, 1]], 383/25684239974400], [[[1, 3], [2, 12], [4, 1], [24, 1]], 383/30821087969280], [[[1, 3], [2, 12], [4, 1], [30, 1]], 383/38526359961600], [[[1, 3], [2, 12], [4, 2], [6, 3]], 827731/237762678620160], [[[1, 3], [2, 12], [4, 2], [7, 1]], 32863/719158719283200], [[[1, 3], [2, 12], [4, 2], [9, 1]], 98323/2773897917235200], [[[1, 3], [2, 12], [4, 2], [14, 1]], 2327/1331775406080], [[[1, 3], [2, 12], [4, 2], [18, 1]], 11017/23115815976960], [[[1, 3], [2, 12], [4, 3], [5, 1]], 3079/57076088832000], [[[1, 3], [2, 12], [4, 3], [6, 2]], 1495013/924632639078400], [[[1, 3], [2, 12], [4, 3], [8, 1]], 2146843/3287582716723200], [[[1, 3], [2, 12], [4, 3], [10, 1]], 655219/513684799488000], [[[1, 3], [2, 12], [4, 3], [12, 1]], 7643/132090377011200], [[[1, 3], [2, 12], [4, 4], [6, 1]], 35694737/73970611126272000], [[[1, 3], [2, 12], [5, 1], [6, 3]], 440347/1300264648704000], [[[1, 3], [2, 12], [5, 1], [7, 1]], 1/3121348608000], [[[1, 3], [2, 12], [5, 1], [9, 1]], 1/4013162496000], [[[1, 3], [2, 12], [5, 1], [14, 1]], 23/585252864000], [[[1, 3], [2, 12], [5, 1], [18, 1]], 187/18059231232000], [[[1, 3], [2, 12], [5, 2], [6, 1]], 797/963158999040000], [[[1, 3], [2, 12], [6, 1], [8, 2]], 84641/308210879692800], [[[1, 3], [2, 12], [6, 1], [10, 2]], 7313693/963158999040000], [[[1, 3], [2, 12], [6, 1], [12, 2]], 797/462316319539200], [[[1, 3], [2, 12], [6, 1], [15, 1]], 797/48157949952000], [[[1, 3], [2, 12], [6, 1], [20, 1]], 797/32105299968000], [[[1, 3], [2, 12], [6, 1], [24, 1]], 797/38526359961600], [[[1, 3], [2, 12], [6, 1], [30, 1]], 797/48157949952000], [[[1, 3], [2, 12], [6, 2], [7, 1]], 34877/151697542348800], [[[1, 3], [2, 12], [6, 2], [9, 1]], 51103/292559545958400], [[[1, 3], [2, 12], [6, 2], [14, 1]], 6191/2106910310400], [[[1, 3], [2, 12], [6, 2], [18, 1]], 25603/28894769971200], [[[1, 3], [2, 12], [6, 3], [8, 1]], 147319/104021171896320], [[[1, 3], [2, 12], [6, 3], [10, 1]], 2612251/433421549568000], [[[1, 3], [2, 12], [6, 3], [12, 1]], 20323/30821087969280], [[[1, 3], [2, 12], [7, 1], [8, 1]], 1/117050572800], [[[1, 3], [2, 12], [7, 1], [10, 1]], 73/650280960000], [[[1, 3], [2, 12], [8, 1], [9, 1]], 191/28894769971200], [[[1, 3], [2, 12], [8, 1], [14, 1]], 2377/7491236659200], [[[1, 3], [2, 12], [8, 1], [18, 1]], 313/3611846246400], [[[1, 3], [2, 12], [9, 1], [10, 1]], 7753/90296156160000], [[[1, 3], [2, 12], [10, 1], [14, 1]], 547/292626432000], [[[1, 3], [2, 12], [10, 1], [18, 1]], 3259/6019743744000], [[[1, 3], [2, 14], [3, 1], [4, 3]], 26653/10567230160896000], [[[1, 3], [2, 14], [3, 1], [6, 3]], 1357921/24965081255116800], [[[1, 3], [2, 14], [3, 1], [7, 1]], 1/269684519731200], [[[1, 3], [2, 14], [3, 1], [9, 1]], 3631/291259281309696000], [[[1, 3], [2, 14], [3, 1], [14, 1]], 67/134842259865600], [[[1, 3], [2, 14], [3, 1], [18, 1]], 17/130026464870400], [[[1, 3], [2, 14], [3, 2], [4, 2]], 3593/22191183337881600], [[[1, 3], [2, 14], [3, 2], [5, 1]], 1/577895399424000], [[[1, 3], [2, 14], [3, 2], [6, 2]], 442448191/83882673017192448000], [[[1, 3], [2, 14], [3, 2], [8, 1]], 1/115579079884800], [[[1, 3], [2, 14], [3, 2], [10, 1]], 79/288947699712000], [[[1, 3], [2, 14], [3, 2], [12, 1]], 6151/1553382833651712000], [[[1, 3], [2, 14], [3, 3], [4, 1]], 143/20804234379264000], [[[1, 3], [2, 14], [3, 3], [6, 1]], 27827/674057193888153600], [[[1, 3], [2, 14], [4, 1], [6, 3]], 15595393/166433875034112000], [[[1, 3], [2, 14], [4, 1], [7, 1]], 71/299649466368000], [[[1, 3], [2, 14], [4, 1], [9, 1]], 53/288947699712000], [[[1, 3], [2, 14], [4, 1], [14, 1]], 19573/1797896798208000], [[[1, 3], [2, 14], [4, 1], [18, 1]], 2917/990677827584000], [[[1, 3], [2, 14], [4, 2], [5, 1]], 7081/30821087969280000], [[[1, 3], [2, 14], [4, 2], [6, 2]], 4233643/66573550013644800], [[[1, 3], [2, 14], [4, 2], [8, 1]], 307943/49313740750848000], [[[1, 3], [2, 14], [4, 2], [10, 1]], 74201/1467670855680000], [[[1, 3], [2, 14], [4, 2], [12, 1]], 109387/388345708412928000], [[[1, 3], [2, 14], [4, 3], [6, 1]], 4069139/221911833378816000], [[[1, 3], [2, 14], [5, 1], [6, 2]], 7337/2600529297408000], [[[1, 3], [2, 14], [5, 1], [8, 1]], 1/42807066624000], [[[1, 3], [2, 14], [5, 1], [10, 1]], 79/80263249920000], [[[1, 3], [2, 14], [6, 1], [7, 1]], 8683/12135803387904000], [[[1, 3], [2, 14], [6, 1], [9, 1]], 5147/9361905470668800], [[[1, 3], [2, 14], [6, 1], [14, 1]], 18643/1011316948992000], [[[1, 3], [2, 14], [6, 1], [18, 1]], 55589/10787380789248000], [[[1, 3], [2, 14], [6, 2], [8, 1]], 104519/5201058594816000], [[[1, 3], [2, 14], [6, 2], [10, 1]], 274283/2167107747840000], [[[1, 3], [2, 14], [6, 2], [12, 1]], 1998413/517794277883904000], [[[1, 3], [2, 14], [8, 1], [10, 1]], 739/80263249920000], [[[1, 3], [2, 16], [3, 1], [4, 2]], 14249581/1118435640229232640000], [[[1, 3], [2, 16], [3, 1], [5, 1]], 22441/116503712523878400000], [[[1, 3], [2, 16], [3, 1], [6, 2]], 102935347/559217820114616320000], [[[1, 3], [2, 16], [3, 1], [8, 1]], 79/155338283365171200], [[[1, 3], [2, 16], [3, 1], [10, 1]], 143/11557907988480000], [[[1, 3], [2, 16], [3, 1], [12, 1]], 66841/279608910057308160000], [[[1, 3], [2, 16], [3, 2], [4, 1]], 19/55477958344704000], [[[1, 3], [2, 16], [3, 2], [6, 1]], 55/20970668254298112], [[[1, 3], [2, 16], [4, 1], [5, 1]], 563/647242847354880000], [[[1, 3], [2, 16], [4, 1], [6, 2]], 135473/166433875034112000], [[[1, 3], [2, 16], [4, 1], [8, 1]], 5672281/248541253384273920000], [[[1, 3], [2, 16], [4, 1], [10, 1]], 39391/129448569470976000], [[[1, 3], [2, 16], [4, 1], [12, 1]], 37/77669141682585600], [[[1, 3], [2, 16], [4, 2], [6, 1]], 3177707/9320297001910272000], [[[1, 3], [2, 16], [5, 1], [6, 1]], 473/104021171896320000], [[[1, 3], [2, 16], [6, 1], [8, 1]], 133121/2330074250477568000], [[[1, 3], [2, 16], [6, 1], [10, 1]], 286897/485432135516160000], [[[1, 3], [2, 16], [6, 1], [12, 1]], 31/8090535591936000], [[[1, 3], [2, 18], [3, 1], [4, 1]], 10403/372811880076410880000], [[[1, 3], [2, 18], [3, 1], [6, 1]], 23363/167765346034384896000], [[[1, 3], [2, 18], [4, 1], [6, 1]], 3883/2130353600436633600], [[[1, 3], [3, 1], [4, 2], [5, 4]], 1/829440000], [[[1, 3], [3, 1], [4, 2], [6, 8]], 1/55725627801600], [[[1, 3], [3, 1], [4, 2], [8, 4]], 1/47185920], [[[1, 3], [3, 1], [4, 2], [10, 4]], 1/829440000], [[[1, 3], [3, 1], [4, 2], [12, 4]], 127/318504960], [[[1, 3], [3, 1], [4, 2], [15, 2]], 1/2073600], [[[1, 3], [3, 1], [4, 2], [16, 2]], 1/442368], [[[1, 3], [3, 1], [4, 2], [20, 2]], 1/552960], [[[1, 3], [3, 1], [4, 2], [24, 2]], 1/442368], [[[1, 3], [3, 1], [4, 2], [30, 2]], 1/2073600], [[[1, 3], [3, 1], [4, 2], [40, 1]], 1/46080], [[[1, 3], [3, 1], [4, 2], [48, 1]], 1/55296], [[[1, 3], [3, 1], [4, 2], [60, 1]], 1/69120], [[[1, 3], [3, 1], [4, 4], [5, 3]], 1/3317760000], [[[1, 3], [3, 1], [4, 4], [6, 6]], 1/12383472844800], [[[1, 3], [3, 1], [4, 4], [9, 2]], 1/537477120], [[[1, 3], [3, 1], [4, 4], [12, 3]], 12643/11466178560], [[[1, 3], [3, 1], [4, 4], [28, 1]], 1/64512], [[[1, 3], [3, 1], [4, 4], [36, 1]], 1/248832], [[[1, 3], [3, 1], [4, 6], [5, 2]], 1/31850496000], [[[1, 3], [3, 1], [4, 6], [6, 4]], 1/8255648563200], [[[1, 3], [3, 1], [4, 6], [8, 2]], 241/10192158720], [[[1, 3], [3, 1], [4, 6], [10, 2]], 1/31850496000], [[[1, 3], [3, 1], [4, 6], [12, 2]], 11827/45864714240], [[[1, 3], [3, 1], [4, 6], [15, 1]], 1/1592524800], [[[1, 3], [3, 1], [4, 6], [20, 1]], 77/212336640], [[[1, 3], [3, 1], [4, 6], [24, 1]], 1/1274019840], [[[1, 3], [3, 1], [4, 6], [30, 1]], 1/1592524800], [[[1, 3], [3, 1], [4, 8], [5, 1]], 17/2140353331200], [[[1, 3], [3, 1], [4, 8], [6, 2]], 17/30821087969280], [[[1, 3], [3, 1], [4, 8], [12, 1]], 2843/1712282664960], [[[1, 3], [3, 1], [5, 1], [6, 8]], 1/5804752896000], [[[1, 3], [3, 1], [5, 1], [8, 4]], 1/4915200], [[[1, 3], [3, 1], [5, 1], [10, 4]], 1/86400000], [[[1, 3], [3, 1], [5, 1], [12, 4]], 23/298598400], [[[1, 3], [3, 1], [5, 1], [15, 2]], 1/216000], [[[1, 3], [3, 1], [5, 1], [16, 2]], 1/46080], [[[1, 3], [3, 1], [5, 1], [20, 2]], 1/57600], [[[1, 3], [3, 1], [5, 1], [24, 2]], 1/46080], [[[1, 3], [3, 1], [5, 1], [30, 2]], 1/216000], [[[1, 3], [3, 1], [5, 1], [40, 1]], 1/4800], [[[1, 3], [3, 1], [5, 1], [48, 1]], 1/5760], [[[1, 3], [3, 1], [5, 1], [60, 1]], 1/7200], [[[1, 3], [3, 1], [5, 2], [6, 6]], 1/161243136000], [[[1, 3], [3, 1], [5, 2], [9, 2]], 1/6998400], [[[1, 3], [3, 1], [5, 2], [12, 3]], 1/49766400], [[[1, 3], [3, 1], [5, 3], [6, 4]], 1/11197440000], [[[1, 3], [3, 1], [5, 3], [8, 2]], 1/13824000], [[[1, 3], [3, 1], [5, 3], [10, 2]], 301/43200000], [[[1, 3], [3, 1], [5, 3], [12, 2]], 1/20736000], [[[1, 3], [3, 1], [5, 3], [15, 1]], 1/2160000], [[[1, 3], [3, 1], [5, 3], [20, 1]], 1/1440000], [[[1, 3], [3, 1], [5, 3], [24, 1]], 1/1728000], [[[1, 3], [3, 1], [5, 3], [30, 1]], 1/2160000], [[[1, 3], [3, 1], [5, 4], [6, 2]], 1/1244160000], [[[1, 3], [3, 1], [5, 4], [12, 1]], 1/207360000], [[[1, 3], [3, 1], [6, 2], [8, 4]], 1/70778880], [[[1, 3], [3, 1], [6, 2], [10, 4]], 1/1244160000], [[[1, 3], [3, 1], [6, 2], [12, 4]], 203/4299816960], [[[1, 3], [3, 1], [6, 2], [15, 2]], 1/3110400], [[[1, 3], [3, 1], [6, 2], [16, 2]], 1/663552], [[[1, 3], [3, 1], [6, 2], [20, 2]], 1/829440], [[[1, 3], [3, 1], [6, 2], [24, 2]], 1/663552], [[[1, 3], [3, 1], [6, 2], [30, 2]], 1/3110400], [[[1, 3], [3, 1], [6, 2], [40, 1]], 1/69120], [[[1, 3], [3, 1], [6, 2], [48, 1]], 1/82944], [[[1, 3], [3, 1], [6, 2], [60, 1]], 1/103680], [[[1, 3], [3, 1], [6, 4], [9, 2]], 1/1813985280], [[[1, 3], [3, 1], [6, 4], [12, 3]], 361/12899450880], [[[1, 3], [3, 1], [6, 4], [18, 2]], 1/10077696], [[[1, 3], [3, 1], [6, 6], [8, 2]], 1/51597803520], [[[1, 3], [3, 1], [6, 6], [10, 2]], 1/161243136000], [[[1, 3], [3, 1], [6, 6], [12, 2]], 277/77396705280], [[[1, 3], [3, 1], [6, 6], [15, 1]], 1/8062156800], [[[1, 3], [3, 1], [6, 6], [20, 1]], 1/5374771200], [[[1, 3], [3, 1], [6, 6], [24, 1]], 1/6449725440], [[[1, 3], [3, 1], [6, 6], [30, 1]], 1/8062156800], [[[1, 3], [3, 1], [6, 7], [18, 1]], 1/14511882240], [[[1, 3], [3, 1], [6, 8], [12, 1]], 181/13931406950400], [[[1, 3], [3, 1], [8, 2], [9, 2]], 1/2239488], [[[1, 3], [3, 1], [8, 2], [12, 3]], 1/15925248], [[[1, 3], [3, 1], [8, 4], [12, 1]], 1/11796480], [[[1, 3], [3, 1], [9, 2], [10, 2]], 1/6998400], [[[1, 3], [3, 1], [9, 2], [12, 2]], 1/3359232], [[[1, 3], [3, 1], [9, 2], [15, 1]], 1/349920], [[[1, 3], [3, 1], [9, 2], [20, 1]], 1/233280], [[[1, 3], [3, 1], [9, 2], [24, 1]], 1/279936], [[[1, 3], [3, 1], [9, 2], [30, 1]], 1/349920], [[[1, 3], [3, 1], [10, 2], [12, 3]], 1/49766400], [[[1, 3], [3, 1], [10, 4], [12, 1]], 1/207360000], [[[1, 3], [3, 1], [12, 1], [15, 2]], 1/518400], [[[1, 3], [3, 1], [12, 1], [16, 2]], 1/110592], [[[1, 3], [3, 1], [12, 1], [20, 2]], 1/138240], [[[1, 3], [3, 1], [12, 1], [24, 2]], 1/110592], [[[1, 3], [3, 1], [12, 1], [30, 2]], 1/518400], [[[1, 3], [3, 1], [12, 1], [40, 1]], 1/11520], [[[1, 3], [3, 1], [12, 1], [48, 1]], 1/13824], [[[1, 3], [3, 1], [12, 1], [60, 1]], 1/17280], [[[1, 3], [3, 1], [12, 2], [36, 1]], 1/31104], [[[1, 3], [3, 1], [12, 3], [15, 1]], 1/2488320], [[[1, 3], [3, 1], [12, 3], [20, 1]], 1/1658880], [[[1, 3], [3, 1], [12, 3], [24, 1]], 13/1990656], [[[1, 3], [3, 1], [12, 3], [30, 1]], 1/2488320], [[[1, 3], [3, 2], [4, 6], [9, 1]], 1/2866544640], [[[1, 3], [3, 2], [5, 3], [9, 1]], 1/3888000], [[[1, 3], [3, 2], [6, 6], [7, 1]], 1/15049359360], [[[1, 3], [3, 2], [6, 6], [9, 1]], 1/11609505792], [[[1, 3], [3, 2], [7, 1], [9, 2]], 1/326592], [[[1, 3], [3, 2], [7, 1], [12, 3]], 1/4644864], [[[1, 3], [3, 2], [7, 1], [21, 1]], 1/168], [[[1, 3], [3, 2], [9, 1], [12, 3]], 5/17915904], [[[1, 3], [3, 2], [9, 1], [18, 2]], 1/5184], [[[1, 3], [3, 2], [9, 1], [36, 1]], 1/864], [[[1, 3], [3, 3], [4, 2], [6, 6]], 1/309586821120], [[[1, 3], [3, 3], [4, 2], [9, 2]], 1/6718464], [[[1, 3], [3, 3], [4, 2], [12, 3]], 1433/7739670528], [[[1, 3], [3, 3], [4, 2], [28, 1]], 1/870912], [[[1, 3], [3, 3], [4, 2], [36, 1]], 1/3359232], [[[1, 3], [3, 3], [4, 4], [5, 2]], 1/429981696000], [[[1, 3], [3, 3], [4, 4], [6, 4]], 811/111451255603200], [[[1, 3], [3, 3], [4, 4], [8, 2]], 241/137594142720], [[[1, 3], [3, 3], [4, 4], [10, 2]], 1/429981696000], [[[1, 3], [3, 3], [4, 4], [12, 2]], 2507/41278242816], [[[1, 3], [3, 3], [4, 4], [15, 1]], 1/21499084800], [[[1, 3], [3, 3], [4, 4], [20, 1]], 77/2866544640], [[[1, 3], [3, 3], [4, 4], [24, 1]], 1/17199267840], [[[1, 3], [3, 3], [4, 4], [30, 1]], 1/21499084800], [[[1, 3], [3, 3], [4, 6], [6, 2]], 1/91729428480], [[[1, 3], [3, 3], [4, 6], [12, 1]], 233/1238347284480], [[[1, 3], [3, 3], [5, 1], [6, 6]], 1/32248627200], [[[1, 3], [3, 3], [5, 1], [9, 2]], 1/699840], [[[1, 3], [3, 3], [5, 1], [12, 3]], 1/9953280], [[[1, 3], [3, 3], [5, 2], [6, 4]], 811/1451188224000], [[[1, 3], [3, 3], [5, 2], [8, 2]], 1/1791590400], [[[1, 3], [3, 3], [5, 2], [10, 2]], 301/5598720000], [[[1, 3], [3, 3], [5, 2], [12, 2]], 11/537477120], [[[1, 3], [3, 3], [5, 2], [15, 1]], 1/279936000], [[[1, 3], [3, 3], [5, 2], [20, 1]], 1/186624000], [[[1, 3], [3, 3], [5, 2], [24, 1]], 1/223948800], [[[1, 3], [3, 3], [5, 2], [30, 1]], 1/279936000], [[[1, 3], [3, 3], [5, 3], [6, 2]], 1/124416000], [[[1, 3], [3, 3], [5, 3], [12, 1]], 1/20736000], [[[1, 3], [3, 3], [6, 2], [9, 2]], 1/6718464], [[[1, 3], [3, 3], [6, 2], [12, 3]], 1369/1289945088], [[[1, 3], [3, 3], [6, 2], [18, 2]], 1/90699264], [[[1, 3], [3, 3], [6, 4], [8, 2]], 811/464380231680], [[[1, 3], [3, 3], [6, 4], [10, 2]], 811/1451188224000], [[[1, 3], [3, 3], [6, 4], [12, 2]], 25499/139314069504], [[[1, 3], [3, 3], [6, 4], [15, 1]], 811/72559411200], [[[1, 3], [3, 3], [6, 4], [20, 1]], 811/48372940800], [[[1, 3], [3, 3], [6, 4], [24, 1]], 59131/58047528960], [[[1, 3], [3, 3], [6, 4], [30, 1]], 811/72559411200], [[[1, 3], [3, 3], [6, 5], [18, 1]], 811/130606940160], [[[1, 3], [3, 3], [6, 6], [12, 1]], 829/696570347520], [[[1, 3], [3, 3], [8, 2], [10, 2]], 1/1791590400], [[[1, 3], [3, 3], [8, 2], [12, 2]], 55/859963392], [[[1, 3], [3, 3], [8, 2], [15, 1]], 1/89579520], [[[1, 3], [3, 3], [8, 2], [20, 1]], 1/59719680], [[[1, 3], [3, 3], [8, 2], [24, 1]], 11/23887872], [[[1, 3], [3, 3], [8, 2], [30, 1]], 1/89579520], [[[1, 3], [3, 3], [9, 2], [12, 1]], 1/1119744], [[[1, 3], [3, 3], [10, 2], [12, 2]], 11/537477120], [[[1, 3], [3, 3], [10, 2], [15, 1]], 1/279936000], [[[1, 3], [3, 3], [10, 2], [20, 1]], 1/186624000], [[[1, 3], [3, 3], [10, 2], [24, 1]], 1/223948800], [[[1, 3], [3, 3], [10, 2], [30, 1]], 1/279936000], [[[1, 3], [3, 3], [12, 1], [36, 1]], 1/1679616], [[[1, 3], [3, 3], [12, 2], [15, 1]], 11/26873856], [[[1, 3], [3, 3], [12, 2], [20, 1]], 11/17915904], [[[1, 3], [3, 3], [12, 2], [24, 1]], 67/107495424], [[[1, 3], [3, 3], [12, 2], [30, 1]], 11/26873856], [[[1, 3], [3, 3], [15, 1], [20, 1]], 1/9331200], [[[1, 3], [3, 3], [15, 1], [24, 1]], 1/11197440], [[[1, 3], [3, 3], [15, 1], [30, 1]], 1/874800], [[[1, 3], [3, 3], [20, 1], [24, 1]], 1/7464960], [[[1, 3], [3, 3], [20, 1], [30, 1]], 1/9331200], [[[1, 3], [3, 3], [24, 1], [30, 1]], 1/11197440], [[[1, 3], [3, 4], [4, 1], [8, 3]], 1/7644119040], [[[1, 3], [3, 4], [4, 4], [7, 1]], 1/401316249600], [[[1, 3], [3, 4], [4, 4], [9, 1]], 41/1547934105600], [[[1, 3], [3, 4], [4, 5], [8, 1]], 1/1834588569600], [[[1, 3], [3, 4], [5, 2], [7, 1]], 1/5225472000], [[[1, 3], [3, 4], [5, 2], [9, 1]], 41/20155392000], [[[1, 3], [3, 4], [6, 4], [7, 1]], 81811/1354442342400], [[[1, 3], [3, 4], [6, 4], [9, 1]], 114251/5224277606400], [[[1, 3], [3, 4], [7, 1], [8, 2]], 1/1672151040], [[[1, 3], [3, 4], [7, 1], [10, 2]], 1/5225472000], [[[1, 3], [3, 4], [7, 1], [12, 2]], 271/2508226560], [[[1, 3], [3, 4], [7, 1], [15, 1]], 1/261273600], [[[1, 3], [3, 4], [7, 1], [20, 1]], 1/174182400], [[[1, 3], [3, 4], [7, 1], [24, 1]], 1/209018880], [[[1, 3], [3, 4], [7, 1], [30, 1]], 1/261273600], [[[1, 3], [3, 4], [8, 2], [9, 1]], 41/6449725440], [[[1, 3], [3, 4], [9, 1], [10, 2]], 41/20155392000], [[[1, 3], [3, 4], [9, 1], [12, 2]], 2471/9674588160], [[[1, 3], [3, 4], [9, 1], [15, 1]], 41/1007769600], [[[1, 3], [3, 4], [9, 1], [20, 1]], 41/671846400], [[[1, 3], [3, 4], [9, 1], [24, 1]], 41/806215680], [[[1, 3], [3, 4], [9, 1], [30, 1]], 41/1007769600], [[[1, 3], [3, 5], [4, 2], [5, 2]], 1/107495424000], [[[1, 3], [3, 5], [4, 2], [6, 4]], 81811/27862813900800], [[[1, 3], [3, 5], [4, 2], [8, 2]], 1/34398535680], [[[1, 3], [3, 5], [4, 2], [10, 2]], 1/107495424000], [[[1, 3], [3, 5], [4, 2], [12, 2]], 149/17199267840], [[[1, 3], [3, 5], [4, 2], [15, 1]], 1/5374771200], [[[1, 3], [3, 5], [4, 2], [20, 1]], 1/3583180800], [[[1, 3], [3, 5], [4, 2], [24, 1]], 1/4299816960], [[[1, 3], [3, 5], [4, 2], [30, 1]], 1/5374771200], [[[1, 3], [3, 5], [4, 4], [5, 1]], 1/859963392000], [[[1, 3], [3, 5], [4, 4], [6, 2]], 11/12383472844800], [[[1, 3], [3, 5], [4, 4], [12, 1]], 19/229323571200], [[[1, 3], [3, 5], [5, 1], [6, 4]], 81811/2902376448000], [[[1, 3], [3, 5], [5, 1], [8, 2]], 1/3583180800], [[[1, 3], [3, 5], [5, 1], [10, 2]], 1/11197440000], [[[1, 3], [3, 5], [5, 1], [12, 2]], 271/5374771200], [[[1, 3], [3, 5], [5, 1], [15, 1]], 1/559872000], [[[1, 3], [3, 5], [5, 1], [20, 1]], 1/373248000], [[[1, 3], [3, 5], [5, 1], [24, 1]], 1/447897600], [[[1, 3], [3, 5], [5, 1], [30, 1]], 1/559872000], [[[1, 3], [3, 5], [5, 2], [6, 2]], 11/161243136000], [[[1, 3], [3, 5], [5, 2], [12, 1]], 11/26873856000], [[[1, 3], [3, 5], [6, 2], [8, 2]], 11/51597803520], [[[1, 3], [3, 5], [6, 2], [10, 2]], 11/161243136000], [[[1, 3], [3, 5], [6, 2], [12, 2]], 2327/77396705280], [[[1, 3], [3, 5], [6, 2], [15, 1]], 11/8062156800], [[[1, 3], [3, 5], [6, 2], [20, 1]], 11/5374771200], [[[1, 3], [3, 5], [6, 2], [24, 1]], 731/6449725440], [[[1, 3], [3, 5], [6, 2], [30, 1]], 11/8062156800], [[[1, 3], [3, 5], [6, 3], [18, 1]], 11/14511882240], [[[1, 3], [3, 5], [6, 4], [12, 1]], 90911/6965703475200], [[[1, 3], [3, 5], [7, 1], [9, 1]], 1/470292480], [[[1, 3], [3, 5], [8, 2], [12, 1]], 11/8599633920], [[[1, 3], [3, 5], [10, 2], [12, 1]], 11/26873856000], [[[1, 3], [3, 5], [12, 1], [15, 1]], 11/1343692800], [[[1, 3], [3, 5], [12, 1], [20, 1]], 11/895795200], [[[1, 3], [3, 5], [12, 1], [24, 1]], 11/1074954240], [[[1, 3], [3, 5], [12, 1], [30, 1]], 11/1343692800], [[[1, 3], [3, 6], [4, 2], [9, 1]], 1/9674588160], [[[1, 3], [3, 6], [5, 1], [9, 1]], 1/1007769600], [[[1, 3], [3, 6], [6, 2], [7, 1]], 1/15049359360], [[[1, 3], [3, 6], [6, 2], [9, 1]], 1/1289945088], [[[1, 3], [3, 6], [7, 1], [12, 1]], 1/2508226560], [[[1, 3], [3, 6], [9, 1], [12, 1]], 1/214990848], [[[1, 3], [3, 7], [4, 2], [6, 2]], 1/309586821120], [[[1, 3], [3, 7], [4, 2], [12, 1]], 7/278628139008], [[[1, 3], [3, 7], [5, 1], [6, 2]], 1/32248627200], [[[1, 3], [3, 7], [5, 1], [12, 1]], 1/5374771200], [[[1, 3], [3, 7], [6, 1], [18, 1]], 1/130606940160], [[[1, 3], [3, 7], [6, 2], [12, 1]], 109/696570347520], [[[1, 3], [3, 8], [4, 1], [8, 1]], 1/12383472844800], [[[1, 3], [4, 1], [5, 2], [8, 3]], 1/29491200], [[[1, 3], [4, 1], [5, 4], [8, 1]], 1/184320000], [[[1, 3], [4, 1], [6, 4], [8, 3]], 1/7644119040], [[[1, 3], [4, 1], [6, 8], [8, 1]], 1/12383472844800], [[[1, 3], [4, 1], [8, 1], [10, 4]], 1/184320000], [[[1, 3], [4, 1], [8, 1], [12, 4]], 23/637009920], [[[1, 3], [4, 1], [8, 1], [15, 2]], 1/460800], [[[1, 3], [4, 1], [8, 1], [16, 2]], 1/98304], [[[1, 3], [4, 1], [8, 1], [20, 2]], 1/122880], [[[1, 3], [4, 1], [8, 1], [24, 2]], 1/98304], [[[1, 3], [4, 1], [8, 1], [30, 2]], 1/460800], [[[1, 3], [4, 1], [8, 1], [40, 1]], 1/10240], [[[1, 3], [4, 1], [8, 1], [48, 1]], 1/12288], [[[1, 3], [4, 1], [8, 1], [60, 1]], 1/15360], [[[1, 3], [4, 1], [8, 3], [10, 2]], 1/29491200], [[[1, 3], [4, 1], [8, 3], [12, 2]], 1/14155776], [[[1, 3], [4, 1], [8, 3], [15, 1]], 1/1474560], [[[1, 3], [4, 1], [8, 3], [20, 1]], 1/983040], [[[1, 3], [4, 1], [8, 3], [24, 1]], 11/393216], [[[1, 3], [4, 1], [8, 3], [30, 1]], 1/1474560], [[[1, 3], [4, 2], [7, 1], [12, 3]], 1/497664], [[[1, 3], [4, 2], [7, 1], [28, 1]], 1/3136], [[[1, 3], [4, 2], [7, 1], [36, 1]], 1/12096], [[[1, 3], [4, 2], [9, 1], [12, 3]], 7/13436928], [[[1, 3], [4, 2], [9, 1], [28, 1]], 1/12096], [[[1, 3], [4, 2], [9, 1], [36, 1]], 1/46656], [[[1, 3], [4, 3], [8, 1], [12, 3]], 7/15925248], [[[1, 3], [4, 3], [8, 1], [28, 1]], 1/14336], [[[1, 3], [4, 3], [8, 1], [36, 1]], 1/55296], [[[1, 3], [4, 3], [8, 2], [16, 1]], 1/65536], [[[1, 3], [4, 3], [8, 3], [12, 1]], 13/3538944], [[[1, 3], [4, 4], [5, 2], [7, 1]], 1/1548288000], [[[1, 3], [4, 4], [5, 2], [9, 1]], 1/5971968000], [[[1, 3], [4, 4], [6, 4], [7, 1]], 1/401316249600], [[[1, 3], [4, 4], [6, 4], [9, 1]], 1/1547934105600], [[[1, 3], [4, 4], [7, 1], [8, 2]], 241/495452160], [[[1, 3], [4, 4], [7, 1], [10, 2]], 1/1548288000], [[[1, 3], [4, 4], [7, 1], [12, 2]], 3841/743178240], [[[1, 3], [4, 4], [7, 1], [15, 1]], 1/77414400], [[[1, 3], [4, 4], [7, 1], [20, 1]], 11/1474560], [[[1, 3], [4, 4], [7, 1], [24, 1]], 1/61931520], [[[1, 3], [4, 4], [7, 1], [30, 1]], 1/77414400], [[[1, 3], [4, 4], [8, 2], [9, 1]], 241/1911029760], [[[1, 3], [4, 4], [9, 1], [10, 2]], 1/5971968000], [[[1, 3], [4, 4], [9, 1], [12, 2]], 3841/2866544640], [[[1, 3], [4, 4], [9, 1], [15, 1]], 1/298598400], [[[1, 3], [4, 4], [9, 1], [20, 1]], 77/39813120], [[[1, 3], [4, 4], [9, 1], [24, 1]], 1/238878720], [[[1, 3], [4, 4], [9, 1], [30, 1]], 1/298598400], [[[1, 3], [4, 5], [5, 2], [8, 1]], 1/7077888000], [[[1, 3], [4, 5], [6, 4], [8, 1]], 1/1834588569600], [[[1, 3], [4, 5], [8, 1], [10, 2]], 1/7077888000], [[[1, 3], [4, 5], [8, 1], [12, 2]], 3841/3397386240], [[[1, 3], [4, 5], [8, 1], [15, 1]], 1/353894400], [[[1, 3], [4, 5], [8, 1], [20, 1]], 77/47185920], [[[1, 3], [4, 5], [8, 1], [24, 1]], 1/283115520], [[[1, 3], [4, 5], [8, 1], [30, 1]], 1/353894400], [[[1, 3], [4, 6], [7, 1], [12, 1]], 19/557383680], [[[1, 3], [4, 6], [9, 1], [12, 1]], 19/2149908480], [[[1, 3], [4, 7], [8, 1], [12, 1]], 19/2548039680], [[[1, 3], [5, 2], [6, 4], [7, 1]], 1/5225472000], [[[1, 3], [5, 2], [6, 4], [9, 1]], 1/20155392000], [[[1, 3], [5, 2], [7, 1], [8, 2]], 1/6451200], [[[1, 3], [5, 2], [7, 1], [10, 2]], 43/2880000], [[[1, 3], [5, 2], [7, 1], [12, 2]], 1/9676800], [[[1, 3], [5, 2], [7, 1], [15, 1]], 1/1008000], [[[1, 3], [5, 2], [7, 1], [20, 1]], 1/672000], [[[1, 3], [5, 2], [7, 1], [24, 1]], 1/806400], [[[1, 3], [5, 2], [7, 1], [30, 1]], 1/1008000], [[[1, 3], [5, 2], [8, 2], [9, 1]], 1/24883200], [[[1, 3], [5, 2], [9, 1], [10, 2]], 301/77760000], [[[1, 3], [5, 2], [9, 1], [12, 2]], 1/37324800], [[[1, 3], [5, 2], [9, 1], [15, 1]], 1/3888000], [[[1, 3], [5, 2], [9, 1], [20, 1]], 1/2592000], [[[1, 3], [5, 2], [9, 1], [24, 1]], 1/3110400], [[[1, 3], [5, 2], [9, 1], [30, 1]], 1/3888000], [[[1, 3], [6, 2], [7, 1], [12, 3]], 1/4644864], [[[1, 3], [6, 2], [7, 1], [18, 2]], 1/326592], [[[1, 3], [6, 2], [9, 1], [12, 3]], 1/17915904], [[[1, 3], [6, 2], [9, 1], [18, 2]], 1/1259712], [[[1, 3], [6, 4], [7, 1], [8, 2]], 1/1672151040], [[[1, 3], [6, 4], [7, 1], [10, 2]], 1/5225472000], [[[1, 3], [6, 4], [7, 1], [12, 2]], 271/2508226560], [[[1, 3], [6, 4], [7, 1], [15, 1]], 1/261273600], [[[1, 3], [6, 4], [7, 1], [20, 1]], 1/174182400], [[[1, 3], [6, 4], [7, 1], [24, 1]], 1/209018880], [[[1, 3], [6, 4], [7, 1], [30, 1]], 1/261273600], [[[1, 3], [6, 4], [8, 2], [9, 1]], 1/6449725440], [[[1, 3], [6, 4], [9, 1], [10, 2]], 1/20155392000], [[[1, 3], [6, 4], [9, 1], [12, 2]], 271/9674588160], [[[1, 3], [6, 4], [9, 1], [15, 1]], 1/1007769600], [[[1, 3], [6, 4], [9, 1], [20, 1]], 1/671846400], [[[1, 3], [6, 4], [9, 1], [24, 1]], 1/806215680], [[[1, 3], [6, 4], [9, 1], [30, 1]], 1/1007769600], [[[1, 3], [6, 5], [7, 1], [18, 1]], 1/470292480], [[[1, 3], [6, 5], [9, 1], [18, 1]], 1/1813985280], [[[1, 3], [6, 6], [7, 1], [12, 1]], 1/2508226560], [[[1, 3], [6, 6], [9, 1], [12, 1]], 1/9674588160], [[[1, 3], [7, 1], [8, 2], [10, 2]], 1/6451200], [[[1, 3], [7, 1], [8, 2], [12, 2]], 1/3096576], [[[1, 3], [7, 1], [8, 2], [15, 1]], 1/322560], [[[1, 3], [7, 1], [8, 2], [20, 1]], 1/215040], [[[1, 3], [7, 1], [8, 2], [24, 1]], 11/86016], [[[1, 3], [7, 1], [8, 2], [30, 1]], 1/322560], [[[1, 3], [7, 1], [10, 2], [12, 2]], 1/9676800], [[[1, 3], [7, 1], [10, 2], [15, 1]], 1/1008000], [[[1, 3], [7, 1], [10, 2], [20, 1]], 1/672000], [[[1, 3], [7, 1], [10, 2], [24, 1]], 1/806400], [[[1, 3], [7, 1], [10, 2], [30, 1]], 1/1008000], [[[1, 3], [7, 1], [12, 1], [36, 1]], 1/6048], [[[1, 3], [7, 1], [12, 2], [15, 1]], 1/483840], [[[1, 3], [7, 1], [12, 2], [20, 1]], 1/322560], [[[1, 3], [7, 1], [12, 2], [24, 1]], 13/387072], [[[1, 3], [7, 1], [12, 2], [30, 1]], 1/483840], [[[1, 3], [7, 1], [15, 1], [20, 1]], 1/33600], [[[1, 3], [7, 1], [15, 1], [24, 1]], 1/40320], [[[1, 3], [7, 1], [15, 1], [30, 1]], 1/3150], [[[1, 3], [7, 1], [20, 1], [24, 1]], 1/26880], [[[1, 3], [7, 1], [20, 1], [30, 1]], 1/33600], [[[1, 3], [7, 1], [24, 1], [30, 1]], 1/40320], [[[1, 3], [8, 2], [9, 1], [10, 2]], 1/24883200], [[[1, 3], [8, 2], [9, 1], [12, 2]], 1/11943936], [[[1, 3], [8, 2], [9, 1], [15, 1]], 1/1244160], [[[1, 3], [8, 2], [9, 1], [20, 1]], 1/829440], [[[1, 3], [8, 2], [9, 1], [24, 1]], 11/331776], [[[1, 3], [8, 2], [9, 1], [30, 1]], 1/1244160], [[[1, 3], [9, 1], [10, 2], [12, 2]], 1/37324800], [[[1, 3], [9, 1], [10, 2], [15, 1]], 1/3888000], [[[1, 3], [9, 1], [10, 2], [20, 1]], 1/2592000], [[[1, 3], [9, 1], [10, 2], [24, 1]], 1/3110400], [[[1, 3], [9, 1], [10, 2], [30, 1]], 1/3888000], [[[1, 3], [9, 1], [12, 1], [36, 1]], 1/23328], [[[1, 3], [9, 1], [12, 2], [15, 1]], 1/1866240], [[[1, 3], [9, 1], [12, 2], [20, 1]], 1/1244160], [[[1, 3], [9, 1], [12, 2], [24, 1]], 13/1492992], [[[1, 3], [9, 1], [12, 2], [30, 1]], 1/1866240], [[[1, 3], [9, 1], [15, 1], [20, 1]], 1/129600], [[[1, 3], [9, 1], [15, 1], [24, 1]], 1/155520], [[[1, 3], [9, 1], [15, 1], [30, 1]], 1/12150], [[[1, 3], [9, 1], [20, 1], [24, 1]], 1/103680], [[[1, 3], [9, 1], [20, 1], [30, 1]], 1/129600], [[[1, 3], [9, 1], [24, 1], [30, 1]], 1/155520], [[[1, 4], [2, 1], [3, 1], [4, 9]], 697/6849130659840], [[[1, 4], [2, 1], [3, 1], [6, 9]], 7/4643802316800], [[[1, 4], [2, 1], [3, 1], [9, 3]], 7/2519424], [[[1, 4], [2, 1], [3, 2], [4, 8]], 233/13209037701120], [[[1, 4], [2, 1], [3, 2], [5, 4]], 1303/3732480000], [[[1, 4], [2, 1], [3, 2], [6, 8]], 3787/250765325107200], [[[1, 4], [2, 1], [3, 2], [8, 4]], 7/212336640], [[[1, 4], [2, 1], [3, 2], [10, 4]], 7/3732480000], [[[1, 4], [2, 1], [3, 2], [12, 4]], 3941/12899450880], [[[1, 4], [2, 1], [3, 2], [15, 2]], 7/9331200], [[[1, 4], [2, 1], [3, 2], [16, 2]], 7/1990656], [[[1, 4], [2, 1], [3, 2], [20, 2]], 7/2488320], [[[1, 4], [2, 1], [3, 2], [24, 2]], 7/1990656], [[[1, 4], [2, 1], [3, 2], [30, 2]], 7/9331200], [[[1, 4], [2, 1], [3, 2], [40, 1]], 7/207360], [[[1, 4], [2, 1], [3, 2], [48, 1]], 7/248832], [[[1, 4], [2, 1], [3, 2], [60, 1]], 7/311040], [[[1, 4], [2, 1], [3, 3], [4, 7]], 17/2311581597696], [[[1, 4], [2, 1], [3, 3], [6, 7]], 973/6269133127680], [[[1, 4], [2, 1], [3, 4], [4, 6]], 2573/264180754022400], [[[1, 4], [2, 1], [3, 4], [5, 3]], 2011/223948800000], [[[1, 4], [2, 1], [3, 4], [6, 6]], 1141/835884417024], [[[1, 4], [2, 1], [3, 4], [7, 2]], 1/162570240], [[[1, 4], [2, 1], [3, 4], [8, 3]], 161/22932357120], [[[1, 4], [2, 1], [3, 4], [9, 2]], 156269/2418647040], [[[1, 4], [2, 1], [3, 4], [12, 3]], 413/1289945088], [[[1, 4], [2, 1], [3, 5], [4, 5]], 7/917294284800], [[[1, 4], [2, 1], [3, 5], [6, 5]], 90031/6965703475200], [[[1, 4], [2, 1], [3, 6], [4, 4]], 631/111451255603200], [[[1, 4], [2, 1], [3, 6], [5, 2]], 407/290237644800], [[[1, 4], [2, 1], [3, 6], [6, 4]], 1837171/376147987660800], [[[1, 4], [2, 1], [3, 6], [8, 2]], 91/464380231680], [[[1, 4], [2, 1], [3, 6], [10, 2]], 91/1451188224000], [[[1, 4], [2, 1], [3, 6], [12, 2]], 13699/696570347520], [[[1, 4], [2, 1], [3, 6], [15, 1]], 91/72559411200], [[[1, 4], [2, 1], [3, 6], [20, 1]], 91/48372940800], [[[1, 4], [2, 1], [3, 6], [24, 1]], 91/58047528960], [[[1, 4], [2, 1], [3, 6], [30, 1]], 91/72559411200], [[[1, 4], [2, 1], [3, 7], [4, 3]], 1/1857520926720], [[[1, 4], [2, 1], [3, 7], [6, 3]], 973/6269133127680], [[[1, 4], [2, 1], [3, 7], [7, 1]], 1/13544423424], [[[1, 4], [2, 1], [3, 7], [9, 1]], 7/9674588160], [[[1, 4], [2, 1], [3, 7], [14, 1]], 1/67722117120], [[[1, 4], [2, 1], [3, 7], [18, 1]], 1/87071293440], [[[1, 4], [2, 1], [3, 8], [4, 2]], 1711/594406696550400], [[[1, 4], [2, 1], [3, 8], [5, 1]], 1337/38698352640000], [[[1, 4], [2, 1], [3, 8], [6, 2]], 7/278628139008], [[[1, 4], [2, 1], [3, 8], [8, 1]], 107/12383472844800], [[[1, 4], [2, 1], [3, 8], [12, 1]], 7/46438023168], [[[1, 4], [2, 1], [3, 9], [4, 1]], 1/18575209267200], [[[1, 4], [2, 1], [3, 9], [6, 1]], 7/4643802316800], [[[1, 4], [2, 1], [4, 1], [6, 9]], 1/55725627801600], [[[1, 4], [2, 1], [4, 2], [5, 4]], 13/26542080000], [[[1, 4], [2, 1], [4, 2], [6, 8]], 13/1783220089651200], [[[1, 4], [2, 1], [4, 2], [8, 4]], 6373/1509949440], [[[1, 4], [2, 1], [4, 2], [10, 4]], 13/26542080000], [[[1, 4], [2, 1], [4, 2], [12, 4]], 299/91729428480], [[[1, 4], [2, 1], [4, 2], [15, 2]], 13/66355200], [[[1, 4], [2, 1], [4, 2], [16, 2]], 13/14155776], [[[1, 4], [2, 1], [4, 2], [20, 2]], 13/17694720], [[[1, 4], [2, 1], [4, 2], [24, 2]], 13/14155776], [[[1, 4], [2, 1], [4, 2], [30, 2]], 13/66355200], [[[1, 4], [2, 1], [4, 2], [40, 1]], 13/1474560], [[[1, 4], [2, 1], [4, 2], [48, 1]], 13/1769472], [[[1, 4], [2, 1], [4, 2], [60, 1]], 13/2211840], [[[1, 4], [2, 1], [4, 4], [5, 3]], 11/66355200000], [[[1, 4], [2, 1], [4, 4], [7, 2]], 1/48168960], [[[1, 4], [2, 1], [4, 4], [8, 3]], 9061/6794772480], [[[1, 4], [2, 1], [4, 4], [9, 2]], 7/2149908480], [[[1, 4], [2, 1], [4, 4], [12, 3]], 91/2293235712], [[[1, 4], [2, 1], [4, 4], [28, 1]], 13/2064384], [[[1, 4], [2, 1], [4, 4], [36, 1]], 13/7962624], [[[1, 4], [2, 1], [4, 5], [6, 5]], 1/8255648563200], [[[1, 4], [2, 1], [4, 6], [5, 2]], 13/1019215872000], [[[1, 4], [2, 1], [4, 6], [6, 4]], 13/264180754022400], [[[1, 4], [2, 1], [4, 6], [8, 2]], 46873/326149079040], [[[1, 4], [2, 1], [4, 6], [10, 2]], 13/1019215872000], [[[1, 4], [2, 1], [4, 6], [12, 2]], 49933/489223618560], [[[1, 4], [2, 1], [4, 6], [15, 1]], 13/50960793600], [[[1, 4], [2, 1], [4, 6], [20, 1]], 1001/6794772480], [[[1, 4], [2, 1], [4, 6], [24, 1]], 13/40768634880], [[[1, 4], [2, 1], [4, 6], [30, 1]], 13/50960793600], [[[1, 4], [2, 1], [4, 7], [7, 1]], 17/8323596288], [[[1, 4], [2, 1], [4, 7], [9, 1]], 17/32105299968], [[[1, 4], [2, 1], [4, 8], [5, 1]], 187/42807066624000], [[[1, 4], [2, 1], [4, 8], [8, 1]], 6137/13698261319680], [[[1, 4], [2, 1], [4, 8], [12, 1]], 247/366917713920], [[[1, 4], [2, 1], [4, 9], [6, 1]], 17/20547391979520], [[[1, 4], [2, 1], [5, 1], [6, 8]], 11/116095057920000], [[[1, 4], [2, 1], [5, 1], [8, 4]], 11/98304000], [[[1, 4], [2, 1], [5, 1], [10, 4]], 11/1728000000], [[[1, 4], [2, 1], [5, 1], [12, 4]], 253/5971968000], [[[1, 4], [2, 1], [5, 1], [15, 2]], 11/4320000], [[[1, 4], [2, 1], [5, 1], [16, 2]], 11/921600], [[[1, 4], [2, 1], [5, 1], [20, 2]], 11/1152000], [[[1, 4], [2, 1], [5, 1], [24, 2]], 11/921600], [[[1, 4], [2, 1], [5, 1], [30, 2]], 11/4320000], [[[1, 4], [2, 1], [5, 1], [40, 1]], 11/96000], [[[1, 4], [2, 1], [5, 1], [48, 1]], 11/115200], [[[1, 4], [2, 1], [5, 1], [60, 1]], 11/144000], [[[1, 4], [2, 1], [5, 2], [7, 2]], 1/627200], [[[1, 4], [2, 1], [5, 2], [8, 3]], 1/88473600], [[[1, 4], [2, 1], [5, 2], [9, 2]], 7/27993600], [[[1, 4], [2, 1], [5, 3], [6, 4]], 11/223948800000], [[[1, 4], [2, 1], [5, 3], [8, 2]], 11/276480000], [[[1, 4], [2, 1], [5, 3], [10, 2]], 3311/864000000], [[[1, 4], [2, 1], [5, 3], [12, 2]], 11/414720000], [[[1, 4], [2, 1], [5, 3], [15, 1]], 11/43200000], [[[1, 4], [2, 1], [5, 3], [20, 1]], 11/28800000], [[[1, 4], [2, 1], [5, 3], [24, 1]], 11/34560000], [[[1, 4], [2, 1], [5, 3], [30, 1]], 11/43200000], [[[1, 4], [2, 1], [5, 4], [8, 1]], 1/552960000], [[[1, 4], [2, 1], [6, 4], [7, 2]], 1/162570240], [[[1, 4], [2, 1], [6, 4], [8, 3]], 1/22932357120], [[[1, 4], [2, 1], [6, 4], [9, 2]], 7/7255941120], [[[1, 4], [2, 1], [6, 7], [7, 1]], 1/22574039040], [[[1, 4], [2, 1], [6, 7], [9, 1]], 1/87071293440], [[[1, 4], [2, 1], [6, 8], [8, 1]], 1/37150418534400], [[[1, 4], [2, 1], [7, 2], [8, 2]], 1/200704], [[[1, 4], [2, 1], [7, 2], [10, 2]], 1/627200], [[[1, 4], [2, 1], [7, 2], [12, 2]], 1/301056], [[[1, 4], [2, 1], [7, 2], [15, 1]], 1/31360], [[[1, 4], [2, 1], [7, 2], [20, 1]], 3/62720], [[[1, 4], [2, 1], [7, 2], [24, 1]], 1/25088], [[[1, 4], [2, 1], [7, 2], [30, 1]], 1/31360], [[[1, 4], [2, 1], [8, 1], [10, 4]], 1/552960000], [[[1, 4], [2, 1], [8, 1], [12, 4]], 23/1911029760], [[[1, 4], [2, 1], [8, 1], [15, 2]], 1/1382400], [[[1, 4], [2, 1], [8, 1], [16, 2]], 1/294912], [[[1, 4], [2, 1], [8, 1], [20, 2]], 1/368640], [[[1, 4], [2, 1], [8, 1], [24, 2]], 1/294912], [[[1, 4], [2, 1], [8, 1], [30, 2]], 1/1382400], [[[1, 4], [2, 1], [8, 1], [40, 1]], 1/30720], [[[1, 4], [2, 1], [8, 1], [48, 1]], 1/36864], [[[1, 4], [2, 1], [8, 1], [60, 1]], 1/46080], [[[1, 4], [2, 1], [8, 2], [9, 2]], 7/8957952], [[[1, 4], [2, 1], [8, 3], [10, 2]], 1/88473600], [[[1, 4], [2, 1], [8, 3], [12, 2]], 1/42467328], [[[1, 4], [2, 1], [8, 3], [15, 1]], 1/4423680], [[[1, 4], [2, 1], [8, 3], [20, 1]], 1/2949120], [[[1, 4], [2, 1], [8, 3], [24, 1]], 11/1179648], [[[1, 4], [2, 1], [8, 3], [30, 1]], 1/4423680], [[[1, 4], [2, 1], [9, 2], [10, 2]], 7/27993600], [[[1, 4], [2, 1], [9, 2], [12, 2]], 7/13436928], [[[1, 4], [2, 1], [9, 2], [15, 1]], 7/1399680], [[[1, 4], [2, 1], [9, 2], [20, 1]], 7/933120], [[[1, 4], [2, 1], [9, 2], [24, 1]], 7/1119744], [[[1, 4], [2, 1], [9, 2], [30, 1]], 7/1399680], [[[1, 4], [2, 3], [3, 1], [4, 8]], 8147/1956894474240], [[[1, 4], [2, 3], [3, 1], [5, 4]], 257/552960000], [[[1, 4], [2, 3], [3, 1], [6, 8]], 34243/111451255603200], [[[1, 4], [2, 3], [3, 1], [8, 4]], 289/283115520], [[[1, 4], [2, 3], [3, 1], [10, 4]], 1/552960000], [[[1, 4], [2, 3], [3, 1], [12, 4]], 23/1911029760], [[[1, 4], [2, 3], [3, 1], [15, 2]], 1/1382400], [[[1, 4], [2, 3], [3, 1], [16, 2]], 1/294912], [[[1, 4], [2, 3], [3, 1], [20, 2]], 1/368640], [[[1, 4], [2, 3], [3, 1], [24, 2]], 1/294912], [[[1, 4], [2, 3], [3, 1], [30, 2]], 1/1382400], [[[1, 4], [2, 3], [3, 1], [40, 1]], 1/30720], [[[1, 4], [2, 3], [3, 1], [48, 1]], 1/36864], [[[1, 4], [2, 3], [3, 1], [60, 1]], 1/46080], [[[1, 4], [2, 3], [3, 2], [4, 7]], 719/1284211998720], [[[1, 4], [2, 3], [3, 2], [6, 7]], 333391/100306130042880], [[[1, 4], [2, 3], [3, 3], [4, 6]], 569/550376570880], [[[1, 4], [2, 3], [3, 3], [5, 3]], 209/124416000], [[[1, 4], [2, 3], [3, 3], [6, 6]], 1659283/50153065021440], [[[1, 4], [2, 3], [3, 3], [7, 2]], 5/12192768], [[[1, 4], [2, 3], [3, 3], [8, 3]], 313/286654464], [[[1, 4], [2, 3], [3, 3], [9, 2]], 29/13436928], [[[1, 4], [2, 3], [3, 3], [10, 3]], 7/1119744000], [[[1, 4], [2, 3], [3, 3], [12, 3]], 113/63700992], [[[1, 4], [2, 3], [3, 3], [14, 2]], 1/4064256], [[[1, 4], [2, 3], [3, 3], [18, 2]], 7/60466176], [[[1, 4], [2, 3], [3, 4], [4, 5]], 8527/13209037701120], [[[1, 4], [2, 3], [3, 4], [6, 5]], 25045981/111451255603200], [[[1, 4], [2, 3], [3, 5], [4, 4]], 811/5503765708800], [[[1, 4], [2, 3], [3, 5], [5, 2]], 6689/71663616000], [[[1, 4], [2, 3], [3, 5], [6, 4]], 3342611/18575209267200], [[[1, 4], [2, 3], [3, 5], [8, 2]], 1469/22932357120], [[[1, 4], [2, 3], [3, 5], [10, 2]], 161/71663616000], [[[1, 4], [2, 3], [3, 5], [12, 2]], 11951/34398535680], [[[1, 4], [2, 3], [3, 5], [15, 1]], 161/3583180800], [[[1, 4], [2, 3], [3, 5], [20, 1]], 161/2388787200], [[[1, 4], [2, 3], [3, 5], [24, 1]], 161/2866544640], [[[1, 4], [2, 3], [3, 5], [30, 1]], 161/3583180800], [[[1, 4], [2, 3], [3, 6], [4, 3]], 107/619173642240], [[[1, 4], [2, 3], [3, 6], [6, 3]], 11130253/300918390128640], [[[1, 4], [2, 3], [3, 6], [7, 1]], 13/2821754880], [[[1, 4], [2, 3], [3, 6], [9, 1]], 107/3869835264], [[[1, 4], [2, 3], [3, 6], [14, 1]], 143/33861058560], [[[1, 4], [2, 3], [3, 6], [18, 1]], 169/65303470080], [[[1, 4], [2, 3], [3, 7], [4, 2]], 37/371504185344], [[[1, 4], [2, 3], [3, 7], [5, 1]], 211/96745881600], [[[1, 4], [2, 3], [3, 7], [6, 2]], 55921/16717688340480], [[[1, 4], [2, 3], [3, 7], [8, 1]], 397/232190115840], [[[1, 4], [2, 3], [3, 7], [10, 1]], 7/290237644800], [[[1, 4], [2, 3], [3, 7], [12, 1]], 691/103195607040], [[[1, 4], [2, 3], [3, 8], [4, 1]], 727/29720334827520], [[[1, 4], [2, 3], [3, 8], [6, 1]], 84911/222902511206400], [[[1, 4], [2, 3], [4, 1], [5, 4]], 581/1327104000], [[[1, 4], [2, 3], [4, 1], [6, 8]], 157/9906778275840], [[[1, 4], [2, 3], [4, 1], [8, 4]], 829/75497472], [[[1, 4], [2, 3], [4, 1], [10, 4]], 1753/6635520000], [[[1, 4], [2, 3], [4, 1], [12, 4]], 115/4586471424], [[[1, 4], [2, 3], [4, 1], [15, 2]], 1/663552], [[[1, 4], [2, 3], [4, 1], [16, 2]], 25/3538944], [[[1, 4], [2, 3], [4, 1], [20, 2]], 5/884736], [[[1, 4], [2, 3], [4, 1], [24, 2]], 25/3538944], [[[1, 4], [2, 3], [4, 1], [30, 2]], 1/663552], [[[1, 4], [2, 3], [4, 1], [40, 1]], 5/73728], [[[1, 4], [2, 3], [4, 1], [48, 1]], 25/442368], [[[1, 4], [2, 3], [4, 1], [60, 1]], 5/110592], [[[1, 4], [2, 3], [4, 2], [6, 7]], 107/8916100448256], [[[1, 4], [2, 3], [4, 3], [5, 3]], 673/442368000], [[[1, 4], [2, 3], [4, 3], [6, 6]], 1/13759414272], [[[1, 4], [2, 3], [4, 3], [7, 2]], 1/802816], [[[1, 4], [2, 3], [4, 3], [8, 3]], 232459/905969664], [[[1, 4], [2, 3], [4, 3], [9, 2]], 5/11943936], [[[1, 4], [2, 3], [4, 3], [10, 3]], 223/147456000], [[[1, 4], [2, 3], [4, 3], [12, 3]], 52289/1146617856], [[[1, 4], [2, 3], [4, 3], [14, 2]], 1/2408448], [[[1, 4], [2, 3], [4, 3], [18, 2]], 1/3981312], [[[1, 4], [2, 3], [4, 3], [28, 1]], 137/1032192], [[[1, 4], [2, 3], [4, 3], [36, 1]], 311/3981312], [[[1, 4], [2, 3], [4, 4], [6, 5]], 6883/99067782758400], [[[1, 4], [2, 3], [4, 5], [5, 2]], 2467/10192158720], [[[1, 4], [2, 3], [4, 5], [6, 4]], 2383/13209037701120], [[[1, 4], [2, 3], [4, 5], [8, 2]], 2877439/81537269760], [[[1, 4], [2, 3], [4, 5], [10, 2]], 61099/254803968000], [[[1, 4], [2, 3], [4, 5], [12, 2]], 631439/24461180928], [[[1, 4], [2, 3], [4, 5], [15, 1]], 1679/2548039680], [[[1, 4], [2, 3], [4, 5], [16, 1]], 199/17694720], [[[1, 4], [2, 3], [4, 5], [20, 1]], 43919/1698693120], [[[1, 4], [2, 3], [4, 5], [24, 1]], 1679/2038431744], [[[1, 4], [2, 3], [4, 5], [30, 1]], 1679/2548039680], [[[1, 4], [2, 3], [4, 6], [6, 3]], 9607/13209037701120], [[[1, 4], [2, 3], [4, 6], [7, 1]], 533/3963617280], [[[1, 4], [2, 3], [4, 6], [9, 1]], 533/7644119040], [[[1, 4], [2, 3], [4, 6], [14, 1]], 3211/47563407360], [[[1, 4], [2, 3], [4, 6], [18, 1]], 9607/183458856960], [[[1, 4], [2, 3], [4, 7], [5, 1]], 34429/713451110400], [[[1, 4], [2, 3], [4, 7], [6, 2]], 11/47563407360], [[[1, 4], [2, 3], [4, 7], [8, 1]], 497549/652298158080], [[[1, 4], [2, 3], [4, 7], [10, 1]], 11363/237817036800], [[[1, 4], [2, 3], [4, 7], [12, 1]], 169241/183458856960], [[[1, 4], [2, 3], [4, 8], [6, 1]], 174857/246568703754240], [[[1, 4], [2, 3], [5, 1], [6, 7]], 43/1451188224000], [[[1, 4], [2, 3], [5, 2], [6, 5]], 1453/1289945088000], [[[1, 4], [2, 3], [5, 3], [6, 3]], 43/5598720000], [[[1, 4], [2, 3], [5, 3], [7, 1]], 1/1008000], [[[1, 4], [2, 3], [5, 3], [9, 1]], 1/1728000], [[[1, 4], [2, 3], [5, 3], [14, 1]], 1/1120000], [[[1, 4], [2, 3], [5, 3], [18, 1]], 43/77760000], [[[1, 4], [2, 3], [5, 4], [6, 1]], 13/9953280000], [[[1, 4], [2, 3], [6, 1], [8, 4]], 191/188743680], [[[1, 4], [2, 3], [6, 1], [10, 4]], 1741/9953280000], [[[1, 4], [2, 3], [6, 1], [12, 4]], 299/34398535680], [[[1, 4], [2, 3], [6, 1], [15, 2]], 13/24883200], [[[1, 4], [2, 3], [6, 1], [16, 2]], 13/5308416], [[[1, 4], [2, 3], [6, 1], [20, 2]], 13/6635520], [[[1, 4], [2, 3], [6, 1], [24, 2]], 13/5308416], [[[1, 4], [2, 3], [6, 1], [30, 2]], 13/24883200], [[[1, 4], [2, 3], [6, 1], [40, 1]], 13/552960], [[[1, 4], [2, 3], [6, 1], [48, 1]], 13/663552], [[[1, 4], [2, 3], [6, 1], [60, 1]], 13/829440], [[[1, 4], [2, 3], [6, 3], [7, 2]], 1/2032128], [[[1, 4], [2, 3], [6, 3], [8, 3]], 551/573308928], [[[1, 4], [2, 3], [6, 3], [9, 2]], 13/90699264], [[[1, 4], [2, 3], [6, 3], [10, 3]], 109/248832000], [[[1, 4], [2, 3], [6, 3], [12, 3]], 1021/1146617856], [[[1, 4], [2, 3], [6, 3], [14, 2]], 1/8128512], [[[1, 4], [2, 3], [6, 3], [18, 2]], 91/80621568], [[[1, 4], [2, 3], [6, 5], [8, 2]], 19237/412782428160], [[[1, 4], [2, 3], [6, 5], [10, 2]], 36877/1289945088000], [[[1, 4], [2, 3], [6, 5], [12, 2]], 108643/619173642240], [[[1, 4], [2, 3], [6, 5], [15, 1]], 1453/64497254400], [[[1, 4], [2, 3], [6, 5], [20, 1]], 1453/42998169600], [[[1, 4], [2, 3], [6, 5], [24, 1]], 1453/51597803520], [[[1, 4], [2, 3], [6, 5], [30, 1]], 1453/64497254400], [[[1, 4], [2, 3], [6, 6], [7, 1]], 13/2821754880], [[[1, 4], [2, 3], [6, 6], [9, 1]], 91/43535646720], [[[1, 4], [2, 3], [6, 6], [14, 1]], 13/7524679680], [[[1, 4], [2, 3], [6, 6], [18, 1]], 1609/116095057920], [[[1, 4], [2, 3], [6, 7], [8, 1]], 479/464380231680], [[[1, 4], [2, 3], [6, 7], [10, 1]], 53/64497254400], [[[1, 4], [2, 3], [6, 7], [12, 1]], 2077/619173642240], [[[1, 4], [2, 3], [7, 1], [8, 3]], 1/294912], [[[1, 4], [2, 3], [7, 1], [9, 2]], 1/54432], [[[1, 4], [2, 3], [7, 1], [10, 3]], 1/1008000], [[[1, 4], [2, 3], [7, 1], [14, 2]], 1/2744], [[[1, 4], [2, 3], [7, 1], [18, 2]], 1/54432], [[[1, 4], [2, 3], [7, 2], [9, 1]], 5/169344], [[[1, 4], [2, 3], [7, 2], [14, 1]], 31/43904], [[[1, 4], [2, 3], [7, 2], [18, 1]], 1/28224], [[[1, 4], [2, 3], [8, 3], [9, 1]], 7/3981312], [[[1, 4], [2, 3], [8, 3], [14, 1]], 1/516096], [[[1, 4], [2, 3], [8, 3], [18, 1]], 11/7962624], [[[1, 4], [2, 3], [9, 1], [10, 3]], 7/15552000], [[[1, 4], [2, 3], [9, 1], [14, 2]], 1/56448], [[[1, 4], [2, 3], [9, 1], [18, 2]], 61/839808], [[[1, 4], [2, 3], [9, 2], [14, 1]], 11/653184], [[[1, 4], [2, 3], [9, 2], [18, 1]], 121/1259712], [[[1, 4], [2, 3], [10, 3], [14, 1]], 1/2688000], [[[1, 4], [2, 3], [10, 3], [18, 1]], 1/3456000], [[[1, 4], [2, 3], [14, 1], [18, 2]], 1/145152], [[[1, 4], [2, 3], [14, 2], [18, 1]], 1/112896], [[[1, 4], [2, 5], [3, 1], [4, 7]], 2450221/102736959897600], [[[1, 4], [2, 5], [3, 1], [6, 7]], 238447/27862813900800], [[[1, 4], [2, 5], [3, 2], [4, 6]], 41581/4403012567040], [[[1, 4], [2, 5], [3, 2], [5, 3]], 29/31104000], [[[1, 4], [2, 5], [3, 2], [6, 6]], 45618991/641959232274432], [[[1, 4], [2, 5], [3, 2], [7, 2]], 1/903168], [[[1, 4], [2, 5], [3, 2], [8, 3]], 1/442368], [[[1, 4], [2, 5], [3, 2], [9, 2]], 1019/859963392], [[[1, 4], [2, 5], [3, 2], [10, 3]], 73/933120000], [[[1, 4], [2, 5], [3, 2], [12, 3]], 2609/36691771392], [[[1, 4], [2, 5], [3, 2], [14, 2]], 23/4064256], [[[1, 4], [2, 5], [3, 2], [18, 2]], 89/60466176], [[[1, 4], [2, 5], [3, 3], [4, 5]], 30047/3669177139200], [[[1, 4], [2, 5], [3, 3], [6, 5]], 794466679/83588441702400], [[[1, 4], [2, 5], [3, 4], [4, 4]], 12519779/3170169048268800], [[[1, 4], [2, 5], [3, 4], [5, 2]], 11855537/41278242816000], [[[1, 4], [2, 5], [3, 4], [6, 4]], 105610863073/3566440179302400], [[[1, 4], [2, 5], [3, 4], [8, 2]], 6231761/13209037701120], [[[1, 4], [2, 5], [3, 4], [10, 2]], 257201/41278242816000], [[[1, 4], [2, 5], [3, 4], [12, 2]], 9093599/19813556551680], [[[1, 4], [2, 5], [3, 4], [15, 1]], 233009/2063912140800], [[[1, 4], [2, 5], [3, 4], [20, 1]], 233009/1375941427200], [[[1, 4], [2, 5], [3, 4], [24, 1]], 233009/1651129712640], [[[1, 4], [2, 5], [3, 4], [30, 1]], 233009/2063912140800], [[[1, 4], [2, 5], [3, 5], [4, 3]], 30541/16511297126400], [[[1, 4], [2, 5], [3, 5], [6, 3]], 11118917/27862813900800], [[[1, 4], [2, 5], [3, 5], [7, 1]], 727/30098718720], [[[1, 4], [2, 5], [3, 5], [9, 1]], 33641/412782428160], [[[1, 4], [2, 5], [3, 5], [14, 1]], 4351/60197437440], [[[1, 4], [2, 5], [3, 5], [18, 1]], 2419/77396705280], [[[1, 4], [2, 5], [3, 6], [4, 2]], 6617/8916100448256], [[[1, 4], [2, 5], [3, 6], [5, 1]], 383/32248627200], [[[1, 4], [2, 5], [3, 6], [6, 2]], 42042031/641959232274432], [[[1, 4], [2, 5], [3, 6], [8, 1]], 2329/154793410560], [[[1, 4], [2, 5], [3, 6], [10, 1]], 949/725594112000], [[[1, 4], [2, 5], [3, 6], [12, 1]], 170683/6604518850560], [[[1, 4], [2, 5], [3, 7], [4, 1]], 24191/37150418534400], [[[1, 4], [2, 5], [3, 7], [6, 1]], 485989/83588441702400], [[[1, 4], [2, 5], [4, 1], [6, 7]], 361/309586821120], [[[1, 4], [2, 5], [4, 2], [5, 3]], 57581/26542080000], [[[1, 4], [2, 5], [4, 2], [6, 6]], 20651/8916100448256], [[[1, 4], [2, 5], [4, 2], [7, 2]], 67/19267584], [[[1, 4], [2, 5], [4, 2], [8, 3]], 1276973/13589544960], [[[1, 4], [2, 5], [4, 2], [9, 2]], 1645/859963392], [[[1, 4], [2, 5], [4, 2], [10, 3]], 93763/26542080000], [[[1, 4], [2, 5], [4, 2], [12, 3]], 28999/27518828544], [[[1, 4], [2, 5], [4, 2], [14, 2]], 535/57802752], [[[1, 4], [2, 5], [4, 2], [18, 2]], 2623/859963392], [[[1, 4], [2, 5], [4, 2], [28, 1]], 1249/24772608], [[[1, 4], [2, 5], [4, 2], [36, 1]], 3649/95551488], [[[1, 4], [2, 5], [4, 3], [6, 5]], 479/73383542784], [[[1, 4], [2, 5], [4, 4], [5, 2]], 21920227/12230590464000], [[[1, 4], [2, 5], [4, 4], [6, 4]], 27847139/3170169048268800], [[[1, 4], [2, 5], [4, 4], [8, 2]], 530508451/3913788948480], [[[1, 4], [2, 5], [4, 4], [10, 2]], 23592931/12230590464000], [[[1, 4], [2, 5], [4, 4], [12, 2]], 210496099/5870683422720], [[[1, 4], [2, 5], [4, 4], [15, 1]], 1381219/611529523200], [[[1, 4], [2, 5], [4, 4], [16, 1]], 73/1769472], [[[1, 4], [2, 5], [4, 4], [20, 1]], 3606983/81537269760], [[[1, 4], [2, 5], [4, 4], [24, 1]], 1381219/489223618560], [[[1, 4], [2, 5], [4, 4], [30, 1]], 1381219/611529523200], [[[1, 4], [2, 5], [4, 5], [6, 3]], 13459/825564856320], [[[1, 4], [2, 5], [4, 5], [7, 1]], 85963/118908518400], [[[1, 4], [2, 5], [4, 5], [9, 1]], 28207/50960793600], [[[1, 4], [2, 5], [4, 5], [14, 1]], 1679/1189085184], [[[1, 4], [2, 5], [4, 5], [18, 1]], 1679/2293235712], [[[1, 4], [2, 5], [4, 6], [5, 1]], 1055501/2038431744000], [[[1, 4], [2, 5], [4, 6], [6, 2]], 23315/880602513408], [[[1, 4], [2, 5], [4, 6], [8, 1]], 20375813/3261490790400], [[[1, 4], [2, 5], [4, 6], [10, 1]], 1087363/2038431744000], [[[1, 4], [2, 5], [4, 6], [12, 1]], 19974217/4403012567040], [[[1, 4], [2, 5], [4, 7], [6, 1]], 87529/1369826131968], [[[1, 4], [2, 5], [5, 1], [6, 6]], 481/362797056000], [[[1, 4], [2, 5], [5, 1], [7, 2]], 1/250880], [[[1, 4], [2, 5], [5, 1], [8, 3]], 23/35389440], [[[1, 4], [2, 5], [5, 1], [9, 2]], 1/414720], [[[1, 4], [2, 5], [5, 1], [10, 3]], 181/288000000], [[[1, 4], [2, 5], [5, 1], [14, 2]], 19/940800], [[[1, 4], [2, 5], [5, 1], [18, 2]], 37/6998400], [[[1, 4], [2, 5], [5, 2], [6, 4]], 537137/41278242816000], [[[1, 4], [2, 5], [5, 2], [8, 2]], 18769/50960793600], [[[1, 4], [2, 5], [5, 2], [10, 2]], 49309/159252480000], [[[1, 4], [2, 5], [5, 2], [12, 2]], 10417/76441190400], [[[1, 4], [2, 5], [5, 2], [15, 1]], 10417/7962624000], [[[1, 4], [2, 5], [5, 2], [20, 1]], 10417/5308416000], [[[1, 4], [2, 5], [5, 2], [24, 1]], 10417/6370099200], [[[1, 4], [2, 5], [5, 2], [30, 1]], 10417/7962624000], [[[1, 4], [2, 5], [5, 3], [6, 2]], 37/466560000], [[[1, 4], [2, 5], [5, 3], [8, 1]], 23/110592000], [[[1, 4], [2, 5], [5, 3], [10, 1]], 181/288000000], [[[1, 4], [2, 5], [6, 2], [7, 2]], 5/1354752], [[[1, 4], [2, 5], [6, 2], [8, 3]], 229/95551488], [[[1, 4], [2, 5], [6, 2], [9, 2]], 89/60466176], [[[1, 4], [2, 5], [6, 2], [10, 3]], 1657/497664000], [[[1, 4], [2, 5], [6, 2], [12, 3]], 4337/36691771392], [[[1, 4], [2, 5], [6, 2], [14, 2]], 11/2709504], [[[1, 4], [2, 5], [6, 2], [18, 2]], 2075/859963392], [[[1, 4], [2, 5], [6, 4], [8, 2]], 10119761/13209037701120], [[[1, 4], [2, 5], [6, 4], [10, 2]], 42022961/41278242816000], [[[1, 4], [2, 5], [6, 4], [12, 2]], 20273759/19813556551680], [[[1, 4], [2, 5], [6, 4], [15, 1]], 526769/2063912140800], [[[1, 4], [2, 5], [6, 4], [20, 1]], 526769/1375941427200], [[[1, 4], [2, 5], [6, 4], [24, 1]], 526769/1651129712640], [[[1, 4], [2, 5], [6, 4], [30, 1]], 526769/2063912140800], [[[1, 4], [2, 5], [6, 5], [7, 1]], 6031/75246796800], [[[1, 4], [2, 5], [6, 5], [9, 1]], 3319/72559411200], [[[1, 4], [2, 5], [6, 5], [14, 1]], 4351/60197437440], [[[1, 4], [2, 5], [6, 5], [18, 1]], 25523/137594142720], [[[1, 4], [2, 5], [6, 6], [8, 1]], 1373/46438023168], [[[1, 4], [2, 5], [6, 6], [10, 1]], 1511/42998169600], [[[1, 4], [2, 5], [6, 6], [12, 1]], 392059/6604518850560], [[[1, 4], [2, 5], [7, 2], [8, 1]], 3/401408], [[[1, 4], [2, 5], [7, 2], [10, 1]], 1/78400], [[[1, 4], [2, 5], [8, 1], [9, 2]], 23/5971968], [[[1, 4], [2, 5], [8, 1], [10, 3]], 11/34560000], [[[1, 4], [2, 5], [8, 1], [14, 2]], 11/602112], [[[1, 4], [2, 5], [8, 1], [18, 2]], 53/8957952], [[[1, 4], [2, 5], [8, 2], [10, 2]], 32593/50960793600], [[[1, 4], [2, 5], [8, 2], [12, 2]], 8401/24461180928], [[[1, 4], [2, 5], [8, 2], [15, 1]], 8401/2548039680], [[[1, 4], [2, 5], [8, 2], [16, 1]], 7/196608], [[[1, 4], [2, 5], [8, 2], [20, 1]], 8401/1698693120], [[[1, 4], [2, 5], [8, 2], [24, 1]], 3323/679477248], [[[1, 4], [2, 5], [8, 2], [30, 1]], 8401/2548039680], [[[1, 4], [2, 5], [8, 3], [10, 1]], 11/11059200], [[[1, 4], [2, 5], [9, 2], [10, 1]], 73/13996800], [[[1, 4], [2, 5], [10, 1], [14, 2]], 11/752640], [[[1, 4], [2, 5], [10, 1], [18, 2]], 7/1244160], [[[1, 4], [2, 5], [10, 2], [12, 2]], 24241/76441190400], [[[1, 4], [2, 5], [10, 2], [15, 1]], 24241/7962624000], [[[1, 4], [2, 5], [10, 2], [20, 1]], 24241/5308416000], [[[1, 4], [2, 5], [10, 2], [24, 1]], 24241/6370099200], [[[1, 4], [2, 5], [10, 2], [30, 1]], 24241/7962624000], [[[1, 4], [2, 5], [12, 1], [36, 1]], 49/47775744], [[[1, 4], [2, 5], [12, 2], [15, 1]], 49/3822059520], [[[1, 4], [2, 5], [12, 2], [20, 1]], 49/2548039680], [[[1, 4], [2, 5], [12, 2], [24, 1]], 637/3057647616], [[[1, 4], [2, 5], [12, 2], [30, 1]], 49/3822059520], [[[1, 4], [2, 5], [15, 1], [20, 1]], 49/265420800], [[[1, 4], [2, 5], [15, 1], [24, 1]], 49/318504960], [[[1, 4], [2, 5], [15, 1], [30, 1]], 49/24883200], [[[1, 4], [2, 5], [20, 1], [24, 1]], 49/212336640], [[[1, 4], [2, 5], [20, 1], [30, 1]], 49/265420800], [[[1, 4], [2, 5], [24, 1], [30, 1]], 49/318504960], [[[1, 4], [2, 7], [3, 1], [4, 6]], 24923999/616421759385600], [[[1, 4], [2, 7], [3, 1], [5, 3]], 1009/418037760000], [[[1, 4], [2, 7], [3, 1], [6, 6]], 11932033/195039697305600], [[[1, 4], [2, 7], [3, 1], [7, 2]], 1/21676032], [[[1, 4], [2, 7], [3, 1], [8, 3]], 4903/10192158720], [[[1, 4], [2, 7], [3, 1], [9, 2]], 1481/33861058560], [[[1, 4], [2, 7], [3, 1], [10, 3]], 163/9953280000], [[[1, 4], [2, 7], [3, 1], [12, 3]], 67/30098718720], [[[1, 4], [2, 7], [3, 1], [14, 2]], 5/2408448], [[[1, 4], [2, 7], [3, 1], [18, 2]], 35/107495424], [[[1, 4], [2, 7], [3, 2], [4, 5]], 11807/733835427840], [[[1, 4], [2, 7], [3, 2], [6, 5]], 574182391/1604898080686080], [[[1, 4], [2, 7], [3, 3], [4, 4]], 3662009/520105859481600], [[[1, 4], [2, 7], [3, 3], [5, 2]], 71009/6772211712000], [[[1, 4], [2, 7], [3, 3], [6, 4]], 1419096349/1755357275750400], [[[1, 4], [2, 7], [3, 3], [8, 2]], 260009/2167107747840], [[[1, 4], [2, 7], [3, 3], [10, 2]], 220697/6772211712000], [[[1, 4], [2, 7], [3, 3], [12, 2]], 12247/650132324352], [[[1, 4], [2, 7], [3, 3], [15, 1]], 2969/338610585600], [[[1, 4], [2, 7], [3, 3], [20, 1]], 2969/225740390400], [[[1, 4], [2, 7], [3, 3], [24, 1]], 2969/270888468480], [[[1, 4], [2, 7], [3, 3], [30, 1]], 2969/338610585600], [[[1, 4], [2, 7], [3, 4], [4, 3]], 641659/132090377011200], [[[1, 4], [2, 7], [3, 4], [6, 3]], 2611763849/2674830134476800], [[[1, 4], [2, 7], [3, 4], [7, 1]], 50779/50565847449600], [[[1, 4], [2, 7], [3, 4], [9, 1]], 68897/12189981081600], [[[1, 4], [2, 7], [3, 4], [14, 1]], 1174711/9631589990400], [[[1, 4], [2, 7], [3, 4], [18, 1]], 1194043/37150418534400], [[[1, 4], [2, 7], [3, 5], [4, 2]], 9300629/2080423437926400], [[[1, 4], [2, 7], [3, 5], [5, 1]], 51409/108355387392000], [[[1, 4], [2, 7], [3, 5], [6, 2]], 33792623/195039697305600], [[[1, 4], [2, 7], [3, 5], [8, 1]], 19423/8255648563200], [[[1, 4], [2, 7], [3, 5], [10, 1]], 17443/2579890176000], [[[1, 4], [2, 7], [3, 5], [12, 1]], 12181/8126654054400], [[[1, 4], [2, 7], [3, 6], [4, 1]], 343/275188285440], [[[1, 4], [2, 7], [3, 6], [6, 1]], 42250447/4814694242058240], [[[1, 4], [2, 7], [4, 1], [5, 3]], 47/2949120000], [[[1, 4], [2, 7], [4, 1], [6, 6]], 633709/37150418534400], [[[1, 4], [2, 7], [4, 1], [7, 2]], 23/48168960], [[[1, 4], [2, 7], [4, 1], [8, 3]], 3488839/1141521776640], [[[1, 4], [2, 7], [4, 1], [9, 2]], 13/47775744], [[[1, 4], [2, 7], [4, 1], [10, 3]], 51047/26542080000], [[[1, 4], [2, 7], [4, 1], [12, 3]], 77/7644119040], [[[1, 4], [2, 7], [4, 1], [14, 2]], 271/48168960], [[[1, 4], [2, 7], [4, 1], [18, 2]], 2317/2149908480], [[[1, 4], [2, 7], [4, 1], [28, 1]], 11/20643840], [[[1, 4], [2, 7], [4, 1], [36, 1]], 11/26542080], [[[1, 4], [2, 7], [4, 2], [6, 5]], 76722823/1783220089651200], [[[1, 4], [2, 7], [4, 3], [5, 2]], 174683/509607936000], [[[1, 4], [2, 7], [4, 3], [6, 4]], 505697/4892236185600], [[[1, 4], [2, 7], [4, 3], [8, 2]], 469615/32614907904], [[[1, 4], [2, 7], [4, 3], [10, 2]], 772571/509607936000], [[[1, 4], [2, 7], [4, 3], [12, 2]], 454907/244611809280], [[[1, 4], [2, 7], [4, 3], [15, 1]], 6779/25480396800], [[[1, 4], [2, 7], [4, 3], [16, 1]], 551/94371840], [[[1, 4], [2, 7], [4, 3], [20, 1]], 81467/16986931200], [[[1, 4], [2, 7], [4, 3], [24, 1]], 6779/20384317440], [[[1, 4], [2, 7], [4, 3], [30, 1]], 6779/25480396800], [[[1, 4], [2, 7], [4, 4], [6, 3]], 158429009/792542262067200], [[[1, 4], [2, 7], [4, 4], [7, 1]], 2417689/14982473318400], [[[1, 4], [2, 7], [4, 4], [9, 1]], 213131/1805923123200], [[[1, 4], [2, 7], [4, 4], [14, 1]], 1046483/407686348800], [[[1, 4], [2, 7], [4, 4], [18, 1]], 8163953/11007531417600], [[[1, 4], [2, 7], [4, 5], [5, 1]], 74111/679477248000], [[[1, 4], [2, 7], [4, 5], [6, 2]], 7779407/33022594252800], [[[1, 4], [2, 7], [4, 5], [8, 1]], 114295361/54793045278720], [[[1, 4], [2, 7], [4, 5], [10, 1]], 591101/2038431744000], [[[1, 4], [2, 7], [4, 5], [12, 1]], 216923/244611809280], [[[1, 4], [2, 7], [4, 6], [6, 1]], 120182017/528361508044800], [[[1, 4], [2, 7], [5, 1], [6, 5]], 1543361/116095057920000], [[[1, 4], [2, 7], [5, 2], [6, 3]], 139739/10319560704000], [[[1, 4], [2, 7], [5, 2], [7, 1]], 379/195084288000], [[[1, 4], [2, 7], [5, 2], [9, 1]], 67/47029248000], [[[1, 4], [2, 7], [5, 2], [14, 1]], 52151/37158912000], [[[1, 4], [2, 7], [5, 2], [18, 1]], 52283/143327232000], [[[1, 4], [2, 7], [5, 3], [6, 1]], 4961/447897600000], [[[1, 4], [2, 7], [6, 1], [7, 2]], 127/325140480], [[[1, 4], [2, 7], [6, 1], [8, 3]], 47783/91729428480], [[[1, 4], [2, 7], [6, 1], [9, 2]], 2977/14511882240], [[[1, 4], [2, 7], [6, 1], [10, 3]], 222703/79626240000], [[[1, 4], [2, 7], [6, 1], [12, 3]], 443/91729428480], [[[1, 4], [2, 7], [6, 1], [14, 2]], 31/12042240], [[[1, 4], [2, 7], [6, 1], [18, 2]], 859/1433272320], [[[1, 4], [2, 7], [6, 3], [8, 2]], 2514731/3302259425280], [[[1, 4], [2, 7], [6, 3], [10, 2]], 22299611/10319560704000], [[[1, 4], [2, 7], [6, 3], [12, 2]], 1686029/4953389137920], [[[1, 4], [2, 7], [6, 3], [15, 1]], 87899/515978035200], [[[1, 4], [2, 7], [6, 3], [20, 1]], 87899/343985356800], [[[1, 4], [2, 7], [6, 3], [24, 1]], 87899/412782428160], [[[1, 4], [2, 7], [6, 3], [30, 1]], 87899/515978035200], [[[1, 4], [2, 7], [6, 4], [7, 1]], 16122779/50565847449600], [[[1, 4], [2, 7], [6, 4], [9, 1]], 2449157/12189981081600], [[[1, 4], [2, 7], [6, 4], [14, 1]], 4830391/9631589990400], [[[1, 4], [2, 7], [6, 4], [18, 1]], 4246481/12383472844800], [[[1, 4], [2, 7], [6, 5], [8, 1]], 11233823/74300837068800], [[[1, 4], [2, 7], [6, 5], [10, 1]], 1768357/6879707136000], [[[1, 4], [2, 7], [6, 5], [12, 1]], 1122497/5503765708800], [[[1, 4], [2, 7], [7, 1], [8, 2]], 53299/62426972160], [[[1, 4], [2, 7], [7, 1], [10, 2]], 701947/195084288000], [[[1, 4], [2, 7], [7, 1], [12, 2]], 379/93640458240], [[[1, 4], [2, 7], [7, 1], [15, 1]], 379/9754214400], [[[1, 4], [2, 7], [7, 1], [20, 1]], 379/6502809600], [[[1, 4], [2, 7], [7, 1], [24, 1]], 379/7803371520], [[[1, 4], [2, 7], [7, 1], [30, 1]], 379/9754214400], [[[1, 4], [2, 7], [8, 2], [9, 1]], 9517/15049359360], [[[1, 4], [2, 7], [8, 2], [14, 1]], 51431/11890851840], [[[1, 4], [2, 7], [8, 2], [18, 1]], 70283/45864714240], [[[1, 4], [2, 7], [9, 1], [10, 2]], 108931/47029248000], [[[1, 4], [2, 7], [9, 1], [12, 2]], 67/22574039040], [[[1, 4], [2, 7], [9, 1], [15, 1]], 67/2351462400], [[[1, 4], [2, 7], [9, 1], [20, 1]], 67/1567641600], [[[1, 4], [2, 7], [9, 1], [24, 1]], 67/1881169920], [[[1, 4], [2, 7], [9, 1], [30, 1]], 67/2351462400], [[[1, 4], [2, 7], [10, 2], [14, 1]], 220343/37158912000], [[[1, 4], [2, 7], [10, 2], [18, 1]], 418619/143327232000], [[[1, 4], [2, 7], [12, 2], [14, 1]], 311/17836277760], [[[1, 4], [2, 7], [12, 2], [18, 1]], 443/68797071360], [[[1, 4], [2, 7], [14, 1], [15, 1]], 311/1857945600], [[[1, 4], [2, 7], [14, 1], [20, 1]], 311/1238630400], [[[1, 4], [2, 7], [14, 1], [24, 1]], 311/1486356480], [[[1, 4], [2, 7], [14, 1], [30, 1]], 311/1857945600], [[[1, 4], [2, 7], [15, 1], [18, 1]], 443/7166361600], [[[1, 4], [2, 7], [18, 1], [20, 1]], 443/4777574400], [[[1, 4], [2, 7], [18, 1], [24, 1]], 443/5733089280], [[[1, 4], [2, 7], [18, 1], [30, 1]], 443/7166361600], [[[1, 4], [2, 9], [3, 1], [4, 5]], 16004759/1369826131968000], [[[1, 4], [2, 9], [3, 1], [6, 5]], 3925029991/31206351568896000], [[[1, 4], [2, 9], [3, 2], [4, 4]], 2816674657/166433875034112000], [[[1, 4], [2, 9], [3, 2], [5, 2]], 189923/433421549568000], [[[1, 4], [2, 9], [3, 2], [6, 4]], 278119703117/561714328240128000], [[[1, 4], [2, 9], [3, 2], [8, 2]], 7279927/693474479308800], [[[1, 4], [2, 9], [3, 2], [10, 2]], 214444231/2167107747840000], [[[1, 4], [2, 9], [3, 2], [12, 2]], 699613/1040211718963200], [[[1, 4], [2, 9], [3, 2], [15, 1]], 54727/108355387392000], [[[1, 4], [2, 9], [3, 2], [20, 1]], 54727/72236924928000], [[[1, 4], [2, 9], [3, 2], [24, 1]], 54727/86684309913600], [[[1, 4], [2, 9], [3, 2], [30, 1]], 54727/108355387392000], [[[1, 4], [2, 9], [3, 3], [4, 3]], 98603671/8321693751705600], [[[1, 4], [2, 9], [3, 3], [6, 3]], 13216429343/28085716412006400], [[[1, 4], [2, 9], [3, 3], [7, 1]], 2437/60679016939520], [[[1, 4], [2, 9], [3, 3], [9, 1]], 52027/167176883404800], [[[1, 4], [2, 9], [3, 3], [14, 1]], 2862061/303395084697600], [[[1, 4], [2, 9], [3, 3], [18, 1]], 961901/390079394611200], [[[1, 4], [2, 9], [3, 4], [4, 2]], 13654778723/3994413000818688000], [[[1, 4], [2, 9], [3, 4], [5, 1]], 4933711/260052929740800000], [[[1, 4], [2, 9], [3, 4], [6, 2]], 46788911/780158789222400], [[[1, 4], [2, 9], [3, 4], [8, 1]], 8004461/83216937517056000], [[[1, 4], [2, 9], [3, 4], [10, 1]], 588839/192631799808000], [[[1, 4], [2, 9], [3, 4], [12, 1]], 47167/624127031377920], [[[1, 4], [2, 9], [3, 5], [4, 1]], 3893761/41608468758528000], [[[1, 4], [2, 9], [3, 5], [6, 1]], 2034799/3467372396544000], [[[1, 4], [2, 9], [4, 1], [6, 5]], 872453789/13869489586176000], [[[1, 4], [2, 9], [4, 2], [5, 2]], 219610723/15410543984640000], [[[1, 4], [2, 9], [4, 2], [6, 4]], 659371864163/3994413000818688000], [[[1, 4], [2, 9], [4, 2], [8, 2]], 2021872711/4931374075084800], [[[1, 4], [2, 9], [4, 2], [10, 2]], 7641667939/15410543984640000], [[[1, 4], [2, 9], [4, 2], [12, 2]], 70622563/7397061112627200], [[[1, 4], [2, 9], [4, 2], [15, 1]], 16708963/770527199232000], [[[1, 4], [2, 9], [4, 2], [16, 1]], 191/2972712960], [[[1, 4], [2, 9], [4, 2], [20, 1]], 25694563/513684799488000], [[[1, 4], [2, 9], [4, 2], [24, 1]], 16708963/616421759385600], [[[1, 4], [2, 9], [4, 2], [30, 1]], 16708963/770527199232000], [[[1, 4], [2, 9], [4, 3], [6, 3]], 108569/481579499520], [[[1, 4], [2, 9], [4, 3], [7, 1]], 1006351/29964946636800], [[[1, 4], [2, 9], [4, 3], [9, 1]], 2894071/115579079884800], [[[1, 4], [2, 9], [4, 3], [14, 1]], 15809/49941577728], [[[1, 4], [2, 9], [4, 3], [18, 1]], 3949/40131624960], [[[1, 4], [2, 9], [4, 4], [5, 1]], 2100396461/77052719923200000], [[[1, 4], [2, 9], [4, 4], [6, 2]], 956335549/5547795834470400], [[[1, 4], [2, 9], [4, 4], [8, 1]], 5803956931/24656870375424000], [[[1, 4], [2, 9], [4, 4], [10, 1]], 20179727/171228266496000], [[[1, 4], [2, 9], [4, 4], [12, 1]], 142796803/1849265278156800], [[[1, 4], [2, 9], [4, 5], [6, 1]], 1566463151/36985305563136000], [[[1, 4], [2, 9], [5, 1], [6, 4]], 9337992511/260052929740800000], [[[1, 4], [2, 9], [5, 1], [8, 2]], 6863711/321052999680000], [[[1, 4], [2, 9], [5, 1], [10, 2]], 531461183/1003290624000000], [[[1, 4], [2, 9], [5, 1], [12, 2]], 59711/481579499520000], [[[1, 4], [2, 9], [5, 1], [15, 1]], 59711/50164531200000], [[[1, 4], [2, 9], [5, 1], [20, 1]], 59711/33443020800000], [[[1, 4], [2, 9], [5, 1], [24, 1]], 59711/40131624960000], [[[1, 4], [2, 9], [5, 1], [30, 1]], 59711/50164531200000], [[[1, 4], [2, 9], [5, 2], [6, 2]], 1144459/72236924928000], [[[1, 4], [2, 9], [5, 2], [8, 1]], 65101/321052999680000], [[[1, 4], [2, 9], [5, 2], [10, 1]], 73973/2229534720000], [[[1, 4], [2, 9], [6, 2], [8, 2]], 3328723/23115815976960], [[[1, 4], [2, 9], [6, 2], [10, 2]], 51895603/72236924928000], [[[1, 4], [2, 9], [6, 2], [12, 2]], 319177/34673723965440], [[[1, 4], [2, 9], [6, 2], [15, 1]], 55819/3611846246400], [[[1, 4], [2, 9], [6, 2], [20, 1]], 55819/2407897497600], [[[1, 4], [2, 9], [6, 2], [24, 1]], 55819/2889476997120], [[[1, 4], [2, 9], [6, 2], [30, 1]], 55819/3611846246400], [[[1, 4], [2, 9], [6, 3], [7, 1]], 7895021/101131694899200], [[[1, 4], [2, 9], [6, 3], [9, 1]], 21276461/390079394611200], [[[1, 4], [2, 9], [6, 3], [14, 1]], 279439/1123685498880], [[[1, 4], [2, 9], [6, 3], [18, 1]], 199429/1857520926720], [[[1, 4], [2, 9], [6, 4], [8, 1]], 8007450701/83216937517056000], [[[1, 4], [2, 9], [6, 4], [10, 1]], 119868037/577895399424000], [[[1, 4], [2, 9], [6, 4], [12, 1]], 2624549/34673723965440], [[[1, 4], [2, 9], [7, 1], [9, 1]], 2437/842764124160], [[[1, 4], [2, 9], [7, 1], [14, 1]], 104101/1092472012800], [[[1, 4], [2, 9], [7, 1], [18, 1]], 19181/1404606873600], [[[1, 4], [2, 9], [8, 1], [10, 2]], 196165453/321052999680000], [[[1, 4], [2, 9], [8, 1], [12, 2]], 65101/154105439846400], [[[1, 4], [2, 9], [8, 1], [15, 1]], 65101/16052649984000], [[[1, 4], [2, 9], [8, 1], [16, 1]], 13/1189085184], [[[1, 4], [2, 9], [8, 1], [20, 1]], 65101/10701766656000], [[[1, 4], [2, 9], [8, 1], [24, 1]], 65101/12842119987200], [[[1, 4], [2, 9], [8, 1], [30, 1]], 65101/16052649984000], [[[1, 4], [2, 9], [8, 2], [10, 1]], 206021/713451110400], [[[1, 4], [2, 9], [9, 1], [14, 1]], 140461/4213820620800], [[[1, 4], [2, 9], [9, 1], [18, 1]], 17843/773967052800], [[[1, 4], [2, 9], [10, 1], [12, 2]], 1397/1070176665600], [[[1, 4], [2, 9], [10, 1], [15, 1]], 1397/111476736000], [[[1, 4], [2, 9], [10, 1], [20, 1]], 1397/74317824000], [[[1, 4], [2, 9], [10, 1], [24, 1]], 1397/89181388800], [[[1, 4], [2, 9], [10, 1], [30, 1]], 1397/111476736000], [[[1, 4], [2, 9], [14, 1], [18, 1]], 1231/15606743040], [[[1, 4], [2, 11], [3, 1], [4, 4]], 165839873/73970611126272000], [[[1, 4], [2, 11], [3, 1], [5, 2]], 2651/137594142720000], [[[1, 4], [2, 11], [3, 1], [6, 4]], 5950961693/249650812551168000], [[[1, 4], [2, 11], [3, 1], [8, 2]], 132017/308210879692800], [[[1, 4], [2, 11], [3, 1], [10, 2]], 9871229/963158999040000], [[[1, 4], [2, 11], [3, 1], [12, 2]], 893/462316319539200], [[[1, 4], [2, 11], [3, 1], [15, 1]], 893/48157949952000], [[[1, 4], [2, 11], [3, 1], [20, 1]], 893/32105299968000], [[[1, 4], [2, 11], [3, 1], [24, 1]], 893/38526359961600], [[[1, 4], [2, 11], [3, 1], [30, 1]], 893/48157949952000], [[[1, 4], [2, 11], [3, 2], [4, 3]], 1883689/924632639078400], [[[1, 4], [2, 11], [3, 2], [6, 3]], 1986282463/64195923227443200], [[[1, 4], [2, 11], [3, 2], [7, 1]], 23/2106910310400], [[[1, 4], [2, 11], [3, 2], [9, 1]], 65/3467372396544], [[[1, 4], [2, 11], [3, 2], [14, 1]], 27911/50565847449600], [[[1, 4], [2, 11], [3, 2], [18, 1]], 14503/97519848652800], [[[1, 4], [2, 11], [3, 3], [4, 2]], 2807941/8321693751705600], [[[1, 4], [2, 11], [3, 3], [5, 1]], 797/144473849856000], [[[1, 4], [2, 11], [3, 3], [6, 2]], 44265241/10699320537907200], [[[1, 4], [2, 11], [3, 3], [8, 1]], 1259/130026464870400], [[[1, 4], [2, 11], [3, 3], [10, 1]], 297391/1300264648704000], [[[1, 4], [2, 11], [3, 3], [12, 1]], 3821/462316319539200], [[[1, 4], [2, 11], [3, 4], [4, 1]], 4094819/998603250204672000], [[[1, 4], [2, 11], [3, 4], [6, 1]], 20600569/499301625102336000], [[[1, 4], [2, 11], [4, 1], [5, 2]], 143299/3852635996160000], [[[1, 4], [2, 11], [4, 1], [6, 4]], 2104932491/110955916689408000], [[[1, 4], [2, 11], [4, 1], [8, 2]], 6570631/1232843518771200], [[[1, 4], [2, 11], [4, 1], [10, 2]], 212932099/3852635996160000], [[[1, 4], [2, 11], [4, 1], [12, 2]], 38179/1849265278156800], [[[1, 4], [2, 11], [4, 1], [15, 1]], 38179/192631799808000], [[[1, 4], [2, 11], [4, 1], [16, 1]], 121/1070176665600], [[[1, 4], [2, 11], [4, 1], [20, 1]], 38179/128421199872000], [[[1, 4], [2, 11], [4, 1], [24, 1]], 38179/154105439846400], [[[1, 4], [2, 11], [4, 1], [30, 1]], 38179/192631799808000], [[[1, 4], [2, 11], [4, 2], [6, 3]], 6623858593/199720650040934400], [[[1, 4], [2, 11], [4, 2], [7, 1]], 2327/1331775406080], [[[1, 4], [2, 11], [4, 2], [9, 1]], 30869/23115815976960], [[[1, 4], [2, 11], [4, 2], [14, 1]], 17932813/719158719283200], [[[1, 4], [2, 11], [4, 2], [18, 1]], 20380513/2773897917235200], [[[1, 4], [2, 11], [4, 3], [5, 1]], 198887/102736959897600], [[[1, 4], [2, 11], [4, 3], [6, 2]], 2470403/102736959897600], [[[1, 4], [2, 11], [4, 3], [8, 1]], 40134313/3287582716723200], [[[1, 4], [2, 11], [4, 3], [10, 1]], 2726309/171228266496000], [[[1, 4], [2, 11], [4, 3], [12, 1]], 1981829/924632639078400], [[[1, 4], [2, 11], [4, 4], [6, 1]], 3289393307/443823666757632000], [[[1, 4], [2, 11], [5, 1], [6, 3]], 28545553/6501323243520000], [[[1, 4], [2, 11], [5, 1], [7, 1]], 23/585252864000], [[[1, 4], [2, 11], [5, 1], [9, 1]], 61/2006581248000], [[[1, 4], [2, 11], [5, 1], [14, 1]], 641/487710720000], [[[1, 4], [2, 11], [5, 1], [18, 1]], 32593/90296156160000], [[[1, 4], [2, 11], [5, 2], [6, 1]], 787307/5778953994240000], [[[1, 4], [2, 11], [6, 1], [8, 2]], 8418371/1849265278156800], [[[1, 4], [2, 11], [6, 1], [10, 2]], 37143389/825564856320000], [[[1, 4], [2, 11], [6, 1], [12, 2]], 61547/2773897917235200], [[[1, 4], [2, 11], [6, 1], [15, 1]], 61547/288947699712000], [[[1, 4], [2, 11], [6, 1], [20, 1]], 61547/192631799808000], [[[1, 4], [2, 11], [6, 1], [24, 1]], 61547/231158159769600], [[[1, 4], [2, 11], [6, 1], [30, 1]], 61547/288947699712000], [[[1, 4], [2, 11], [6, 2], [7, 1]], 6191/2106910310400], [[[1, 4], [2, 11], [6, 2], [9, 1]], 141103/65013232435200], [[[1, 4], [2, 11], [6, 2], [14, 1]], 129953/6742112993280], [[[1, 4], [2, 11], [6, 2], [18, 1]], 377023/57789539942400], [[[1, 4], [2, 11], [6, 3], [8, 1]], 24316031/2080423437926400], [[[1, 4], [2, 11], [6, 3], [10, 1]], 3164809/96315899904000], [[[1, 4], [2, 11], [6, 3], [12, 1]], 4462729/924632639078400], [[[1, 4], [2, 11], [7, 1], [8, 1]], 2377/7491236659200], [[[1, 4], [2, 11], [7, 1], [10, 1]], 547/292626432000], [[[1, 4], [2, 11], [8, 1], [9, 1]], 1751/7223692492800], [[[1, 4], [2, 11], [8, 1], [14, 1]], 2179/468202291200], [[[1, 4], [2, 11], [8, 1], [18, 1]], 39491/28894769971200], [[[1, 4], [2, 11], [9, 1], [10, 1]], 25231/18059231232000], [[[1, 4], [2, 11], [10, 1], [14, 1]], 5267/346816512000], [[[1, 4], [2, 11], [10, 1], [18, 1]], 19463/4013162496000], [[[1, 4], [2, 13], [3, 1], [4, 3]], 7955821/73970611126272000], [[[1, 4], [2, 13], [3, 1], [6, 3]], 99761707/124825406275584000], [[[1, 4], [2, 13], [3, 1], [7, 1]], 67/134842259865600], [[[1, 4], [2, 13], [3, 1], [9, 1]], 10301/16643387503411200], [[[1, 4], [2, 13], [3, 1], [14, 1]], 5491/269684519731200], [[[1, 4], [2, 13], [3, 1], [18, 1]], 1919/346737239654400], [[[1, 4], [2, 13], [3, 2], [4, 2]], 1246969/66573550013644800], [[[1, 4], [2, 13], [3, 2], [5, 1]], 19/72236924928000], [[[1, 4], [2, 13], [3, 2], [6, 2]], 418194329/2054269543278182400], [[[1, 4], [2, 13], [3, 2], [8, 1]], 43/38526359961600], [[[1, 4], [2, 13], [3, 2], [10, 1]], 16453/1083553873920000], [[[1, 4], [2, 13], [3, 2], [12, 1]], 29501/88764733351526400], [[[1, 4], [2, 13], [3, 3], [4, 1]], 111211/166433875034112000], [[[1, 4], [2, 13], [3, 3], [6, 1]], 4345387/1123428656480256000], [[[1, 4], [2, 13], [4, 1], [6, 3]], 937723/832169375170560], [[[1, 4], [2, 13], [4, 1], [7, 1]], 19573/1797896798208000], [[[1, 4], [2, 13], [4, 1], [9, 1]], 19291/2311581597696000], [[[1, 4], [2, 13], [4, 1], [14, 1]], 20047/89894839910400], [[[1, 4], [2, 13], [4, 1], [18, 1]], 10981/173368619827200], [[[1, 4], [2, 13], [4, 2], [5, 1]], 722081/30821087969280000], [[[1, 4], [2, 13], [4, 2], [6, 2]], 236898187/199720650040934400], [[[1, 4], [2, 13], [4, 2], [8, 1]], 10567133/49313740750848000], [[[1, 4], [2, 13], [4, 2], [10, 1]], 29668213/30821087969280000], [[[1, 4], [2, 13], [4, 2], [12, 1]], 280813/22191183337881600], [[[1, 4], [2, 13], [4, 3], [6, 1]], 49673/109586090557440], [[[1, 4], [2, 13], [5, 1], [6, 2]], 129277/1625330810880000], [[[1, 4], [2, 13], [5, 1], [8, 1]], 383/128421199872000], [[[1, 4], [2, 13], [5, 1], [10, 1]], 1459/37158912000000], [[[1, 4], [2, 13], [6, 1], [7, 1]], 18643/1011316948992000], [[[1, 4], [2, 13], [6, 1], [9, 1]], 13627/975198486528000], [[[1, 4], [2, 13], [6, 1], [14, 1]], 66329/269684519731200], [[[1, 4], [2, 13], [6, 1], [18, 1]], 58009/792542262067200], [[[1, 4], [2, 13], [6, 2], [8, 1]], 318403/1040211718963200], [[[1, 4], [2, 13], [6, 2], [10, 1]], 33371/27518828544000], [[[1, 4], [2, 13], [6, 2], [12, 1]], 60013/1095860905574400], [[[1, 4], [2, 13], [8, 1], [10, 1]], 28319/160526499840000], [[[1, 4], [2, 15], [3, 1], [4, 2]], 7270259/9320297001910272000], [[[1, 4], [2, 15], [3, 1], [5, 1]], 4909/485432135516160000], [[[1, 4], [2, 15], [3, 1], [6, 2]], 9242141/1747555687858176000], [[[1, 4], [2, 15], [3, 1], [8, 1]], 12521/258897138941952000], [[[1, 4], [2, 15], [3, 1], [10, 1]], 6703/11557907988480000], [[[1, 4], [2, 15], [3, 1], [12, 1]], 3163/291259281309696000], [[[1, 4], [2, 15], [3, 2], [4, 1]], 533/11095591668940800], [[[1, 4], [2, 15], [3, 2], [6, 1]], 10125823/50329603810315468800], [[[1, 4], [2, 15], [4, 1], [5, 1]], 20641/215747615784960000], [[[1, 4], [2, 15], [4, 1], [6, 2]], 929849/55477958344704000], [[[1, 4], [2, 15], [4, 1], [8, 1]], 4221523/4142354223071232000], [[[1, 4], [2, 15], [4, 1], [10, 1]], 180641/23971957309440000], [[[1, 4], [2, 15], [4, 1], [12, 1]], 2791/129448569470976000], [[[1, 4], [2, 15], [4, 2], [6, 1]], 82810129/7988826001637376000], [[[1, 4], [2, 15], [5, 1], [6, 1]], 129461/520105859481600000], [[[1, 4], [2, 15], [6, 1], [8, 1]], 3756161/2330074250477568000], [[[1, 4], [2, 15], [6, 1], [10, 1]], 6425821/647242847354880000], [[[1, 4], [2, 15], [6, 1], [12, 1]], 153281/1553382833651712000], [[[1, 4], [2, 17], [3, 1], [4, 1]], 109303/53258840010915840000], [[[1, 4], [2, 17], [3, 1], [6, 1]], 2065961/279608910057308160000], [[[1, 4], [2, 17], [4, 1], [6, 1]], 7735649/124270626692136960000], [[[1, 5], [2, 2], [3, 1], [4, 8]], 2198629/616421759385600], [[[1, 5], [2, 2], [3, 1], [5, 4]], 2077/4976640000], [[[1, 5], [2, 2], [3, 1], [6, 8]], 108017/1671768834048000], [[[1, 5], [2, 2], [3, 1], [8, 4]], 217/1415577600], [[[1, 5], [2, 2], [3, 1], [10, 4]], 17/24883200000], [[[1, 5], [2, 2], [3, 1], [12, 4]], 391/85996339200], [[[1, 5], [2, 2], [3, 1], [15, 2]], 17/62208000], [[[1, 5], [2, 2], [3, 1], [16, 2]], 17/13271040], [[[1, 5], [2, 2], [3, 1], [20, 2]], 17/16588800], [[[1, 5], [2, 2], [3, 1], [24, 2]], 17/13271040], [[[1, 5], [2, 2], [3, 1], [30, 2]], 17/62208000], [[[1, 5], [2, 2], [3, 1], [40, 1]], 17/1382400], [[[1, 5], [2, 2], [3, 1], [48, 1]], 17/1658880], [[[1, 5], [2, 2], [3, 1], [60, 1]], 17/2073600], [[[1, 5], [2, 2], [3, 2], [4, 7]], 787/550376570880], [[[1, 5], [2, 2], [3, 2], [6, 7]], 23231/20061226008576], [[[1, 5], [2, 2], [3, 3], [4, 6]], 1559/4403012567040], [[[1, 5], [2, 2], [3, 3], [5, 3]], 13649/5598720000], [[[1, 5], [2, 2], [3, 3], [6, 6]], 627073/83588441702400], [[[1, 5], [2, 2], [3, 3], [7, 2]], 1/2032128], [[[1, 5], [2, 2], [3, 3], [8, 3]], 89/573308928], [[[1, 5], [2, 2], [3, 3], [9, 2]], 277/201553920], [[[1, 5], [2, 2], [3, 3], [10, 3]], 1/746496000], [[[1, 5], [2, 2], [3, 3], [12, 3]], 3377/2866544640], [[[1, 5], [2, 2], [3, 3], [14, 2]], 1/24385536], [[[1, 5], [2, 2], [3, 3], [18, 2]], 1/40310784], [[[1, 5], [2, 2], [3, 4], [4, 5]], 138271/220150628352000], [[[1, 5], [2, 2], [3, 4], [6, 5]], 7263217/111451255603200], [[[1, 5], [2, 2], [3, 5], [4, 4]], 95267/247669456896000], [[[1, 5], [2, 2], [3, 5], [5, 2]], 355601/3224862720000], [[[1, 5], [2, 2], [3, 5], [6, 4]], 15525587/835884417024000], [[[1, 5], [2, 2], [3, 5], [8, 2]], 19397/1031956070400], [[[1, 5], [2, 2], [3, 5], [10, 2]], 4817/3224862720000], [[[1, 5], [2, 2], [3, 5], [12, 2]], 355007/1547934105600], [[[1, 5], [2, 2], [3, 5], [15, 1]], 4817/161243136000], [[[1, 5], [2, 2], [3, 5], [20, 1]], 4817/107495424000], [[[1, 5], [2, 2], [3, 5], [24, 1]], 4817/128994508800], [[[1, 5], [2, 2], [3, 5], [30, 1]], 4817/161243136000], [[[1, 5], [2, 2], [3, 6], [4, 3]], 253/1857520926720], [[[1, 5], [2, 2], [3, 6], [6, 3]], 671741/60183678025728], [[[1, 5], [2, 2], [3, 6], [7, 1]], 143/33861058560], [[[1, 5], [2, 2], [3, 6], [9, 1]], 593/32248627200], [[[1, 5], [2, 2], [3, 6], [14, 1]], 13/8465264640], [[[1, 5], [2, 2], [3, 6], [18, 1]], 143/130606940160], [[[1, 5], [2, 2], [3, 7], [4, 2]], 239/1651129712640], [[[1, 5], [2, 2], [3, 7], [5, 1]], 107/53747712000], [[[1, 5], [2, 2], [3, 7], [6, 2]], 33691/27862813900800], [[[1, 5], [2, 2], [3, 7], [8, 1]], 41/51597803520], [[[1, 5], [2, 2], [3, 7], [10, 1]], 1/193491763200], [[[1, 5], [2, 2], [3, 7], [12, 1]], 2299/515978035200], [[[1, 5], [2, 2], [3, 8], [4, 1]], 6407/495338913792000], [[[1, 5], [2, 2], [3, 8], [6, 1]], 35627/222902511206400], [[[1, 5], [2, 2], [4, 1], [5, 4]], 283/1474560000], [[[1, 5], [2, 2], [4, 1], [6, 8]], 3221/1486016741376000], [[[1, 5], [2, 2], [4, 1], [8, 4]], 2221/1258291200], [[[1, 5], [2, 2], [4, 1], [10, 4]], 7/7372800000], [[[1, 5], [2, 2], [4, 1], [12, 4]], 161/25480396800], [[[1, 5], [2, 2], [4, 1], [15, 2]], 7/18432000], [[[1, 5], [2, 2], [4, 1], [16, 2]], 7/3932160], [[[1, 5], [2, 2], [4, 1], [20, 2]], 7/4915200], [[[1, 5], [2, 2], [4, 1], [24, 2]], 7/3932160], [[[1, 5], [2, 2], [4, 1], [30, 2]], 7/18432000], [[[1, 5], [2, 2], [4, 1], [40, 1]], 7/409600], [[[1, 5], [2, 2], [4, 1], [48, 1]], 7/491520], [[[1, 5], [2, 2], [4, 1], [60, 1]], 7/614400], [[[1, 5], [2, 2], [4, 2], [6, 7]], 1/1114512556032], [[[1, 5], [2, 2], [4, 3], [5, 3]], 109/4423680000], [[[1, 5], [2, 2], [4, 3], [7, 2]], 1/802816], [[[1, 5], [2, 2], [4, 3], [8, 3]], 28445/905969664], [[[1, 5], [2, 2], [4, 3], [9, 2]], 7/35831808], [[[1, 5], [2, 2], [4, 3], [10, 3]], 13/884736000], [[[1, 5], [2, 2], [4, 3], [12, 3]], 749/3822059520], [[[1, 5], [2, 2], [4, 3], [28, 1]], 191/10321920], [[[1, 5], [2, 2], [4, 3], [36, 1]], 107/13271040], [[[1, 5], [2, 2], [4, 4], [6, 5]], 751/99067782758400], [[[1, 5], [2, 2], [4, 5], [5, 2]], 2783/849346560000], [[[1, 5], [2, 2], [4, 5], [6, 4]], 757/73383542784000], [[[1, 5], [2, 2], [4, 5], [8, 2]], 854051/271790899200], [[[1, 5], [2, 2], [4, 5], [10, 2]], 671/849346560000], [[[1, 5], [2, 2], [4, 5], [12, 2]], 330911/407686348800], [[[1, 5], [2, 2], [4, 5], [15, 1]], 671/42467328000], [[[1, 5], [2, 2], [4, 5], [16, 1]], 13/28311552], [[[1, 5], [2, 2], [4, 5], [20, 1]], 10067/5662310400], [[[1, 5], [2, 2], [4, 5], [24, 1]], 671/33973862400], [[[1, 5], [2, 2], [4, 5], [30, 1]], 671/42467328000], [[[1, 5], [2, 2], [4, 6], [6, 3]], 1/330225942528], [[[1, 5], [2, 2], [4, 6], [7, 1]], 3211/47563407360], [[[1, 5], [2, 2], [4, 6], [9, 1]], 1079/61152952320], [[[1, 5], [2, 2], [4, 6], [14, 1]], 1/3397386240], [[[1, 5], [2, 2], [4, 6], [18, 1]], 1/4586471424], [[[1, 5], [2, 2], [4, 7], [5, 1]], 1021/1426902220800], [[[1, 5], [2, 2], [4, 7], [8, 1]], 24601/913217421312], [[[1, 5], [2, 2], [4, 7], [10, 1]], 13/67947724800], [[[1, 5], [2, 2], [4, 7], [12, 1]], 5791/203843174400], [[[1, 5], [2, 2], [4, 8], [6, 1]], 24749/246568703754240], [[[1, 5], [2, 2], [5, 1], [6, 7]], 17/1451188224000], [[[1, 5], [2, 2], [5, 2], [6, 5]], 1/1289945088000], [[[1, 5], [2, 2], [5, 3], [6, 3]], 17/5598720000], [[[1, 5], [2, 2], [5, 3], [7, 1]], 1/1120000], [[[1, 5], [2, 2], [5, 3], [9, 1]], 29/77760000], [[[1, 5], [2, 2], [5, 3], [14, 1]], 1/3360000], [[[1, 5], [2, 2], [5, 3], [18, 1]], 17/77760000], [[[1, 5], [2, 2], [5, 4], [6, 1]], 1/9953280000], [[[1, 5], [2, 2], [6, 1], [8, 4]], 3/20971520], [[[1, 5], [2, 2], [6, 1], [10, 4]], 1/9953280000], [[[1, 5], [2, 2], [6, 1], [12, 4]], 23/34398535680], [[[1, 5], [2, 2], [6, 1], [15, 2]], 1/24883200], [[[1, 5], [2, 2], [6, 1], [16, 2]], 1/5308416], [[[1, 5], [2, 2], [6, 1], [20, 2]], 1/6635520], [[[1, 5], [2, 2], [6, 1], [24, 2]], 1/5308416], [[[1, 5], [2, 2], [6, 1], [30, 2]], 1/24883200], [[[1, 5], [2, 2], [6, 1], [40, 1]], 1/552960], [[[1, 5], [2, 2], [6, 1], [48, 1]], 1/663552], [[[1, 5], [2, 2], [6, 1], [60, 1]], 1/829440], [[[1, 5], [2, 2], [6, 3], [7, 2]], 5/12192768], [[[1, 5], [2, 2], [6, 3], [8, 3]], 1/382205952], [[[1, 5], [2, 2], [6, 3], [9, 2]], 11/181398528], [[[1, 5], [2, 2], [6, 3], [12, 3]], 1/1146617856], [[[1, 5], [2, 2], [6, 3], [18, 2]], 1/80621568], [[[1, 5], [2, 2], [6, 5], [8, 2]], 73/412782428160], [[[1, 5], [2, 2], [6, 5], [10, 2]], 1/1289945088000], [[[1, 5], [2, 2], [6, 5], [12, 2]], 271/619173642240], [[[1, 5], [2, 2], [6, 5], [15, 1]], 1/64497254400], [[[1, 5], [2, 2], [6, 5], [20, 1]], 1/42998169600], [[[1, 5], [2, 2], [6, 5], [24, 1]], 1/51597803520], [[[1, 5], [2, 2], [6, 5], [30, 1]], 1/64497254400], [[[1, 5], [2, 2], [6, 6], [7, 1]], 13/7524679680], [[[1, 5], [2, 2], [6, 6], [9, 1]], 13/29023764480], [[[1, 5], [2, 2], [6, 6], [18, 1]], 1/116095057920], [[[1, 5], [2, 2], [6, 7], [8, 1]], 1/309586821120], [[[1, 5], [2, 2], [6, 7], [12, 1]], 1/619173642240], [[[1, 5], [2, 2], [7, 1], [8, 3]], 1/516096], [[[1, 5], [2, 2], [7, 1], [9, 2]], 11/653184], [[[1, 5], [2, 2], [7, 1], [10, 3]], 1/2688000], [[[1, 5], [2, 2], [7, 1], [14, 2]], 1/87808], [[[1, 5], [2, 2], [7, 1], [18, 2]], 1/145152], [[[1, 5], [2, 2], [7, 2], [9, 1]], 1/28224], [[[1, 5], [2, 2], [7, 2], [14, 1]], 1/2744], [[[1, 5], [2, 2], [7, 2], [18, 1]], 5/169344], [[[1, 5], [2, 2], [8, 3], [9, 1]], 5/7962624], [[[1, 5], [2, 2], [8, 3], [14, 1]], 1/4128768], [[[1, 5], [2, 2], [8, 3], [18, 1]], 1/5308416], [[[1, 5], [2, 2], [9, 1], [10, 3]], 1/10368000], [[[1, 5], [2, 2], [9, 1], [14, 2]], 1/338688], [[[1, 5], [2, 2], [9, 1], [18, 2]], 1/559872], [[[1, 5], [2, 2], [9, 2], [14, 1]], 1/163296], [[[1, 5], [2, 2], [9, 2], [18, 1]], 65/2519424], [[[1, 5], [2, 4], [3, 1], [4, 7]], 87529/1369826131968], [[[1, 5], [2, 4], [3, 1], [6, 7]], 485989/83588441702400], [[[1, 5], [2, 4], [3, 2], [4, 6]], 23315/880602513408], [[[1, 5], [2, 4], [3, 2], [5, 3]], 1657/497664000], [[[1, 5], [2, 4], [3, 2], [6, 6]], 42042031/641959232274432], [[[1, 5], [2, 4], [3, 2], [7, 2]], 11/2709504], [[[1, 5], [2, 4], [3, 2], [8, 3]], 229/95551488], [[[1, 5], [2, 4], [3, 2], [9, 2]], 2075/859963392], [[[1, 5], [2, 4], [3, 2], [10, 3]], 37/466560000], [[[1, 5], [2, 4], [3, 2], [12, 3]], 4337/36691771392], [[[1, 5], [2, 4], [3, 2], [14, 2]], 5/1354752], [[[1, 5], [2, 4], [3, 2], [18, 2]], 89/60466176], [[[1, 5], [2, 4], [3, 3], [4, 5]], 13459/825564856320], [[[1, 5], [2, 4], [3, 3], [6, 5]], 11118917/27862813900800], [[[1, 5], [2, 4], [3, 4], [4, 4]], 27847139/3170169048268800], [[[1, 5], [2, 4], [3, 4], [5, 2]], 42022961/41278242816000], [[[1, 5], [2, 4], [3, 4], [6, 4]], 105610863073/3566440179302400], [[[1, 5], [2, 4], [3, 4], [8, 2]], 10119761/13209037701120], [[[1, 5], [2, 4], [3, 4], [10, 2]], 537137/41278242816000], [[[1, 5], [2, 4], [3, 4], [12, 2]], 20273759/19813556551680], [[[1, 5], [2, 4], [3, 4], [15, 1]], 526769/2063912140800], [[[1, 5], [2, 4], [3, 4], [20, 1]], 526769/1375941427200], [[[1, 5], [2, 4], [3, 4], [24, 1]], 526769/1651129712640], [[[1, 5], [2, 4], [3, 4], [30, 1]], 526769/2063912140800], [[[1, 5], [2, 4], [3, 5], [4, 3]], 479/73383542784], [[[1, 5], [2, 4], [3, 5], [6, 3]], 794466679/83588441702400], [[[1, 5], [2, 4], [3, 5], [7, 1]], 4351/60197437440], [[[1, 5], [2, 4], [3, 5], [9, 1]], 25523/137594142720], [[[1, 5], [2, 4], [3, 5], [14, 1]], 6031/75246796800], [[[1, 5], [2, 4], [3, 5], [18, 1]], 3319/72559411200], [[[1, 5], [2, 4], [3, 6], [4, 2]], 20651/8916100448256], [[[1, 5], [2, 4], [3, 6], [5, 1]], 1511/42998169600], [[[1, 5], [2, 4], [3, 6], [6, 2]], 45618991/641959232274432], [[[1, 5], [2, 4], [3, 6], [8, 1]], 1373/46438023168], [[[1, 5], [2, 4], [3, 6], [10, 1]], 481/362797056000], [[[1, 5], [2, 4], [3, 6], [12, 1]], 392059/6604518850560], [[[1, 5], [2, 4], [3, 7], [4, 1]], 361/309586821120], [[[1, 5], [2, 4], [3, 7], [6, 1]], 238447/27862813900800], [[[1, 5], [2, 4], [4, 1], [6, 7]], 24191/37150418534400], [[[1, 5], [2, 4], [4, 2], [5, 3]], 93763/26542080000], [[[1, 5], [2, 4], [4, 2], [6, 6]], 6617/8916100448256], [[[1, 5], [2, 4], [4, 2], [7, 2]], 535/57802752], [[[1, 5], [2, 4], [4, 2], [8, 3]], 1276973/13589544960], [[[1, 5], [2, 4], [4, 2], [9, 2]], 2623/859963392], [[[1, 5], [2, 4], [4, 2], [10, 3]], 57581/26542080000], [[[1, 5], [2, 4], [4, 2], [12, 3]], 28999/27518828544], [[[1, 5], [2, 4], [4, 2], [14, 2]], 67/19267584], [[[1, 5], [2, 4], [4, 2], [18, 2]], 1645/859963392], [[[1, 5], [2, 4], [4, 2], [28, 1]], 1249/24772608], [[[1, 5], [2, 4], [4, 2], [36, 1]], 3649/95551488], [[[1, 5], [2, 4], [4, 3], [6, 5]], 30541/16511297126400], [[[1, 5], [2, 4], [4, 4], [5, 2]], 23592931/12230590464000], [[[1, 5], [2, 4], [4, 4], [6, 4]], 12519779/3170169048268800], [[[1, 5], [2, 4], [4, 4], [8, 2]], 530508451/3913788948480], [[[1, 5], [2, 4], [4, 4], [10, 2]], 21920227/12230590464000], [[[1, 5], [2, 4], [4, 4], [12, 2]], 210496099/5870683422720], [[[1, 5], [2, 4], [4, 4], [15, 1]], 1381219/611529523200], [[[1, 5], [2, 4], [4, 4], [16, 1]], 73/1769472], [[[1, 5], [2, 4], [4, 4], [20, 1]], 3606983/81537269760], [[[1, 5], [2, 4], [4, 4], [24, 1]], 1381219/489223618560], [[[1, 5], [2, 4], [4, 4], [30, 1]], 1381219/611529523200], [[[1, 5], [2, 4], [4, 5], [6, 3]], 30047/3669177139200], [[[1, 5], [2, 4], [4, 5], [7, 1]], 1679/1189085184], [[[1, 5], [2, 4], [4, 5], [9, 1]], 1679/2293235712], [[[1, 5], [2, 4], [4, 5], [14, 1]], 85963/118908518400], [[[1, 5], [2, 4], [4, 5], [18, 1]], 28207/50960793600], [[[1, 5], [2, 4], [4, 6], [5, 1]], 1087363/2038431744000], [[[1, 5], [2, 4], [4, 6], [6, 2]], 41581/4403012567040], [[[1, 5], [2, 4], [4, 6], [8, 1]], 20375813/3261490790400], [[[1, 5], [2, 4], [4, 6], [10, 1]], 1055501/2038431744000], [[[1, 5], [2, 4], [4, 6], [12, 1]], 19974217/4403012567040], [[[1, 5], [2, 4], [4, 7], [6, 1]], 2450221/102736959897600], [[[1, 5], [2, 4], [5, 1], [6, 6]], 949/725594112000], [[[1, 5], [2, 4], [5, 1], [7, 2]], 11/752640], [[[1, 5], [2, 4], [5, 1], [8, 3]], 11/11059200], [[[1, 5], [2, 4], [5, 1], [9, 2]], 7/1244160], [[[1, 5], [2, 4], [5, 1], [10, 3]], 181/288000000], [[[1, 5], [2, 4], [5, 1], [14, 2]], 1/78400], [[[1, 5], [2, 4], [5, 1], [18, 2]], 73/13996800], [[[1, 5], [2, 4], [5, 2], [6, 4]], 257201/41278242816000], [[[1, 5], [2, 4], [5, 2], [8, 2]], 32593/50960793600], [[[1, 5], [2, 4], [5, 2], [10, 2]], 49309/159252480000], [[[1, 5], [2, 4], [5, 2], [12, 2]], 24241/76441190400], [[[1, 5], [2, 4], [5, 2], [15, 1]], 24241/7962624000], [[[1, 5], [2, 4], [5, 2], [20, 1]], 24241/5308416000], [[[1, 5], [2, 4], [5, 2], [24, 1]], 24241/6370099200], [[[1, 5], [2, 4], [5, 2], [30, 1]], 24241/7962624000], [[[1, 5], [2, 4], [5, 3], [6, 2]], 73/933120000], [[[1, 5], [2, 4], [5, 3], [8, 1]], 11/34560000], [[[1, 5], [2, 4], [5, 3], [10, 1]], 181/288000000], [[[1, 5], [2, 4], [6, 2], [7, 2]], 23/4064256], [[[1, 5], [2, 4], [6, 2], [8, 3]], 1/442368], [[[1, 5], [2, 4], [6, 2], [9, 2]], 89/60466176], [[[1, 5], [2, 4], [6, 2], [10, 3]], 29/31104000], [[[1, 5], [2, 4], [6, 2], [12, 3]], 2609/36691771392], [[[1, 5], [2, 4], [6, 2], [14, 2]], 1/903168], [[[1, 5], [2, 4], [6, 2], [18, 2]], 1019/859963392], [[[1, 5], [2, 4], [6, 4], [8, 2]], 6231761/13209037701120], [[[1, 5], [2, 4], [6, 4], [10, 2]], 11855537/41278242816000], [[[1, 5], [2, 4], [6, 4], [12, 2]], 9093599/19813556551680], [[[1, 5], [2, 4], [6, 4], [15, 1]], 233009/2063912140800], [[[1, 5], [2, 4], [6, 4], [20, 1]], 233009/1375941427200], [[[1, 5], [2, 4], [6, 4], [24, 1]], 233009/1651129712640], [[[1, 5], [2, 4], [6, 4], [30, 1]], 233009/2063912140800], [[[1, 5], [2, 4], [6, 5], [7, 1]], 4351/60197437440], [[[1, 5], [2, 4], [6, 5], [9, 1]], 2419/77396705280], [[[1, 5], [2, 4], [6, 5], [14, 1]], 727/30098718720], [[[1, 5], [2, 4], [6, 5], [18, 1]], 33641/412782428160], [[[1, 5], [2, 4], [6, 6], [8, 1]], 2329/154793410560], [[[1, 5], [2, 4], [6, 6], [10, 1]], 383/32248627200], [[[1, 5], [2, 4], [6, 6], [12, 1]], 170683/6604518850560], [[[1, 5], [2, 4], [7, 2], [8, 1]], 11/602112], [[[1, 5], [2, 4], [7, 2], [10, 1]], 19/940800], [[[1, 5], [2, 4], [8, 1], [9, 2]], 53/8957952], [[[1, 5], [2, 4], [8, 1], [10, 3]], 23/110592000], [[[1, 5], [2, 4], [8, 1], [14, 2]], 3/401408], [[[1, 5], [2, 4], [8, 1], [18, 2]], 23/5971968], [[[1, 5], [2, 4], [8, 2], [10, 2]], 18769/50960793600], [[[1, 5], [2, 4], [8, 2], [12, 2]], 8401/24461180928], [[[1, 5], [2, 4], [8, 2], [15, 1]], 8401/2548039680], [[[1, 5], [2, 4], [8, 2], [16, 1]], 7/196608], [[[1, 5], [2, 4], [8, 2], [20, 1]], 8401/1698693120], [[[1, 5], [2, 4], [8, 2], [24, 1]], 3323/679477248], [[[1, 5], [2, 4], [8, 2], [30, 1]], 8401/2548039680], [[[1, 5], [2, 4], [8, 3], [10, 1]], 23/35389440], [[[1, 5], [2, 4], [9, 2], [10, 1]], 37/6998400], [[[1, 5], [2, 4], [10, 1], [14, 2]], 1/250880], [[[1, 5], [2, 4], [10, 1], [18, 2]], 1/414720], [[[1, 5], [2, 4], [10, 2], [12, 2]], 10417/76441190400], [[[1, 5], [2, 4], [10, 2], [15, 1]], 10417/7962624000], [[[1, 5], [2, 4], [10, 2], [20, 1]], 10417/5308416000], [[[1, 5], [2, 4], [10, 2], [24, 1]], 10417/6370099200], [[[1, 5], [2, 4], [10, 2], [30, 1]], 10417/7962624000], [[[1, 5], [2, 4], [12, 1], [36, 1]], 49/47775744], [[[1, 5], [2, 4], [12, 2], [15, 1]], 49/3822059520], [[[1, 5], [2, 4], [12, 2], [20, 1]], 49/2548039680], [[[1, 5], [2, 4], [12, 2], [24, 1]], 637/3057647616], [[[1, 5], [2, 4], [12, 2], [30, 1]], 49/3822059520], [[[1, 5], [2, 4], [15, 1], [20, 1]], 49/265420800], [[[1, 5], [2, 4], [15, 1], [24, 1]], 49/318504960], [[[1, 5], [2, 4], [15, 1], [30, 1]], 49/24883200], [[[1, 5], [2, 4], [20, 1], [24, 1]], 49/212336640], [[[1, 5], [2, 4], [20, 1], [30, 1]], 49/265420800], [[[1, 5], [2, 4], [24, 1], [30, 1]], 49/318504960], [[[1, 5], [2, 6], [3, 1], [4, 6]], 7438043/29353417113600], [[[1, 5], [2, 6], [3, 1], [5, 3]], 53791/79626240000], [[[1, 5], [2, 6], [3, 1], [6, 6]], 8828849/106993205379072], [[[1, 5], [2, 6], [3, 1], [7, 2]], 5/7225344], [[[1, 5], [2, 6], [3, 1], [8, 3]], 8789/4076863488], [[[1, 5], [2, 6], [3, 1], [9, 2]], 1907/4299816960], [[[1, 5], [2, 6], [3, 1], [10, 3]], 1909/49766400000], [[[1, 5], [2, 6], [3, 1], [12, 3]], 89/10192158720], [[[1, 5], [2, 6], [3, 1], [14, 2]], 31/12042240], [[[1, 5], [2, 6], [3, 1], [18, 2]], 1159/1612431360], [[[1, 5], [2, 6], [3, 2], [4, 5]], 58733/407686348800], [[[1, 5], [2, 6], [3, 2], [6, 5]], 1376152229/2006122600857600], [[[1, 5], [2, 6], [3, 3], [4, 4]], 6699179/88060251340800], [[[1, 5], [2, 6], [3, 3], [5, 2]], 611449/1146617856000], [[[1, 5], [2, 6], [3, 3], [6, 4]], 660599699/297203348275200], [[[1, 5], [2, 6], [3, 3], [8, 2]], 13387/13589544960], [[[1, 5], [2, 6], [3, 3], [10, 2]], 57977/1146617856000], [[[1, 5], [2, 6], [3, 3], [12, 2]], 25907/110075314176], [[[1, 5], [2, 6], [3, 3], [15, 1]], 6649/57330892800], [[[1, 5], [2, 6], [3, 3], [20, 1]], 6649/38220595200], [[[1, 5], [2, 6], [3, 3], [24, 1]], 6649/45864714240], [[[1, 5], [2, 6], [3, 3], [30, 1]], 6649/57330892800], [[[1, 5], [2, 6], [3, 4], [4, 3]], 9179287/264180754022400], [[[1, 5], [2, 6], [3, 4], [6, 3]], 317787763/133741506723840], [[[1, 5], [2, 6], [3, 4], [7, 1]], 1174711/9631589990400], [[[1, 5], [2, 6], [3, 4], [9, 1]], 1966147/12383472844800], [[[1, 5], [2, 6], [3, 4], [14, 1]], 379889/963158999040], [[[1, 5], [2, 6], [3, 4], [18, 1]], 306449/1857520926720], [[[1, 5], [2, 6], [3, 5], [4, 2]], 2388353/99067782758400], [[[1, 5], [2, 6], [3, 5], [5, 1]], 449717/6879707136000], [[[1, 5], [2, 6], [3, 5], [6, 2]], 100016941/178322008965120], [[[1, 5], [2, 6], [3, 5], [8, 1]], 10351/122305904640], [[[1, 5], [2, 6], [3, 5], [10, 1]], 263509/12899450880000], [[[1, 5], [2, 6], [3, 5], [12, 1]], 1367737/16511297126400], [[[1, 5], [2, 6], [3, 6], [4, 1]], 359971/37150418534400], [[[1, 5], [2, 6], [3, 6], [6, 1]], 294406637/6018367802572800], [[[1, 5], [2, 6], [4, 1], [5, 3]], 277957/265420800000], [[[1, 5], [2, 6], [4, 1], [6, 6]], 726737/37150418534400], [[[1, 5], [2, 6], [4, 1], [7, 2]], 379/144506880], [[[1, 5], [2, 6], [4, 1], [8, 3]], 655793/54358179840], [[[1, 5], [2, 6], [4, 1], [9, 2]], 877/716636160], [[[1, 5], [2, 6], [4, 1], [10, 3]], 631277/265420800000], [[[1, 5], [2, 6], [4, 1], [12, 3]], 343/9172942848], [[[1, 5], [2, 6], [4, 1], [14, 2]], 271/48168960], [[[1, 5], [2, 6], [4, 1], [18, 2]], 1271/716636160], [[[1, 5], [2, 6], [4, 1], [28, 1]], 7/3538944], [[[1, 5], [2, 6], [4, 1], [36, 1]], 49/31850496], [[[1, 5], [2, 6], [4, 2], [6, 5]], 83727007/1783220089651200], [[[1, 5], [2, 6], [4, 3], [5, 2]], 2562263/1019215872000], [[[1, 5], [2, 6], [4, 3], [6, 4]], 23410327/264180754022400], [[[1, 5], [2, 6], [4, 3], [8, 2]], 5136571/65229815808], [[[1, 5], [2, 6], [4, 3], [10, 2]], 713131/203843174400], [[[1, 5], [2, 6], [4, 3], [12, 2]], 4354967/489223618560], [[[1, 5], [2, 6], [4, 3], [15, 1]], 67607/50960793600], [[[1, 5], [2, 6], [4, 3], [16, 1]], 9337/339738624], [[[1, 5], [2, 6], [4, 3], [20, 1]], 659287/33973862400], [[[1, 5], [2, 6], [4, 3], [24, 1]], 67607/40768634880], [[[1, 5], [2, 6], [4, 3], [30, 1]], 67607/50960793600], [[[1, 5], [2, 6], [4, 4], [6, 3]], 7517803/39627113103360], [[[1, 5], [2, 6], [4, 4], [7, 1]], 1046483/407686348800], [[[1, 5], [2, 6], [4, 4], [9, 1]], 782873/407686348800], [[[1, 5], [2, 6], [4, 4], [14, 1]], 197317/40768634880], [[[1, 5], [2, 6], [4, 4], [18, 1]], 1381219/550376570880], [[[1, 5], [2, 6], [4, 5], [5, 1]], 39648607/20384317440000], [[[1, 5], [2, 6], [4, 5], [6, 2]], 121271/407686348800], [[[1, 5], [2, 6], [4, 5], [8, 1]], 78891761/4348654387200], [[[1, 5], [2, 6], [4, 5], [10, 1]], 42933527/20384317440000], [[[1, 5], [2, 6], [4, 5], [12, 1]], 4258303/489223618560], [[[1, 5], [2, 6], [4, 6], [6, 1]], 228379897/528361508044800], [[[1, 5], [2, 6], [5, 1], [6, 5]], 2847247/116095057920000], [[[1, 5], [2, 6], [5, 2], [6, 3]], 19657/515978035200], [[[1, 5], [2, 6], [5, 2], [7, 1]], 52151/37158912000], [[[1, 5], [2, 6], [5, 2], [9, 1]], 17369/15925248000], [[[1, 5], [2, 6], [5, 2], [14, 1]], 17329/3715891200], [[[1, 5], [2, 6], [5, 2], [18, 1]], 13873/7166361600], [[[1, 5], [2, 6], [5, 3], [6, 1]], 15247/447897600000], [[[1, 5], [2, 6], [6, 1], [7, 2]], 1459/975421440], [[[1, 5], [2, 6], [6, 1], [8, 3]], 44561/20384317440], [[[1, 5], [2, 6], [6, 1], [9, 2]], 9163/14511882240], [[[1, 5], [2, 6], [6, 1], [10, 3]], 88249/39813120000], [[[1, 5], [2, 6], [6, 1], [12, 3]], 49/4586471424], [[[1, 5], [2, 6], [6, 1], [14, 2]], 5/2408448], [[[1, 5], [2, 6], [6, 1], [18, 2]], 59/71663616], [[[1, 5], [2, 6], [6, 3], [8, 2]], 244009/165112971264], [[[1, 5], [2, 6], [6, 3], [10, 2]], 881929/515978035200], [[[1, 5], [2, 6], [6, 3], [12, 2]], 112591/247669456896], [[[1, 5], [2, 6], [6, 3], [15, 1]], 5833/25798901760], [[[1, 5], [2, 6], [6, 3], [20, 1]], 5833/17199267840], [[[1, 5], [2, 6], [6, 3], [24, 1]], 5833/20639121408], [[[1, 5], [2, 6], [6, 3], [30, 1]], 5833/25798901760], [[[1, 5], [2, 6], [6, 4], [7, 1]], 4830391/9631589990400], [[[1, 5], [2, 6], [6, 4], [9, 1]], 374003/1375941427200], [[[1, 5], [2, 6], [6, 4], [14, 1]], 379889/963158999040], [[[1, 5], [2, 6], [6, 4], [18, 1]], 228883/619173642240], [[[1, 5], [2, 6], [6, 5], [8, 1]], 3049201/16511297126400], [[[1, 5], [2, 6], [6, 5], [10, 1]], 710483/3439853568000], [[[1, 5], [2, 6], [6, 5], [12, 1]], 56851/275188285440], [[[1, 5], [2, 6], [7, 1], [8, 2]], 51431/11890851840], [[[1, 5], [2, 6], [7, 1], [10, 2]], 220343/37158912000], [[[1, 5], [2, 6], [7, 1], [12, 2]], 311/17836277760], [[[1, 5], [2, 6], [7, 1], [15, 1]], 311/1857945600], [[[1, 5], [2, 6], [7, 1], [20, 1]], 311/1238630400], [[[1, 5], [2, 6], [7, 1], [24, 1]], 311/1486356480], [[[1, 5], [2, 6], [7, 1], [30, 1]], 311/1857945600], [[[1, 5], [2, 6], [8, 2], [9, 1]], 15049/5096079360], [[[1, 5], [2, 6], [8, 2], [14, 1]], 8401/1189085184], [[[1, 5], [2, 6], [8, 2], [18, 1]], 8401/2293235712], [[[1, 5], [2, 6], [9, 1], [10, 2]], 5713/1769472000], [[[1, 5], [2, 6], [9, 1], [12, 2]], 89/7644119040], [[[1, 5], [2, 6], [9, 1], [15, 1]], 89/796262400], [[[1, 5], [2, 6], [9, 1], [20, 1]], 89/530841600], [[[1, 5], [2, 6], [9, 1], [24, 1]], 89/637009920], [[[1, 5], [2, 6], [9, 1], [30, 1]], 89/796262400], [[[1, 5], [2, 6], [10, 2], [14, 1]], 17329/3715891200], [[[1, 5], [2, 6], [10, 2], [18, 1]], 4157/1433272320], [[[1, 5], [2, 6], [12, 2], [14, 1]], 7/254803968], [[[1, 5], [2, 6], [12, 2], [18, 1]], 49/3439853568], [[[1, 5], [2, 6], [14, 1], [15, 1]], 7/26542080], [[[1, 5], [2, 6], [14, 1], [20, 1]], 7/17694720], [[[1, 5], [2, 6], [14, 1], [24, 1]], 7/21233664], [[[1, 5], [2, 6], [14, 1], [30, 1]], 7/26542080], [[[1, 5], [2, 6], [15, 1], [18, 1]], 49/358318080], [[[1, 5], [2, 6], [18, 1], [20, 1]], 49/238878720], [[[1, 5], [2, 6], [18, 1], [24, 1]], 49/286654464], [[[1, 5], [2, 6], [18, 1], [30, 1]], 49/358318080], [[[1, 5], [2, 8], [3, 1], [4, 5]], 9853429/58706834227200], [[[1, 5], [2, 8], [3, 1], [6, 5]], 12641489741/46809527353344000], [[[1, 5], [2, 8], [3, 2], [4, 4]], 22871791471/166433875034112000], [[[1, 5], [2, 8], [3, 2], [5, 2]], 44221657/2167107747840000], [[[1, 5], [2, 8], [3, 2], [6, 4]], 923168103611/561714328240128000], [[[1, 5], [2, 8], [3, 2], [8, 2]], 112864081/693474479308800], [[[1, 5], [2, 8], [3, 2], [10, 2]], 696293473/2167107747840000], [[[1, 5], [2, 8], [3, 2], [12, 2]], 8029579/1040211718963200], [[[1, 5], [2, 8], [3, 2], [15, 1]], 870241/108355387392000], [[[1, 5], [2, 8], [3, 2], [20, 1]], 870241/72236924928000], [[[1, 5], [2, 8], [3, 2], [24, 1]], 870241/86684309913600], [[[1, 5], [2, 8], [3, 2], [30, 1]], 870241/108355387392000], [[[1, 5], [2, 8], [3, 3], [4, 3]], 1847953/17336861982720], [[[1, 5], [2, 8], [3, 3], [6, 3]], 13399641869/4680952735334400], [[[1, 5], [2, 8], [3, 3], [7, 1]], 2862061/303395084697600], [[[1, 5], [2, 8], [3, 3], [9, 1]], 1969141/167176883404800], [[[1, 5], [2, 8], [3, 3], [14, 1]], 1351669/10113169489920], [[[1, 5], [2, 8], [3, 3], [18, 1]], 102779/2600529297408], [[[1, 5], [2, 8], [3, 4], [4, 2]], 173651310071/3994413000818688000], [[[1, 5], [2, 8], [3, 4], [5, 1]], 1236207221/260052929740800000], [[[1, 5], [2, 8], [3, 4], [6, 2]], 398515919/780158789222400], [[[1, 5], [2, 8], [3, 4], [8, 1]], 5840753/396271131033600], [[[1, 5], [2, 8], [3, 4], [10, 1]], 2885857/82556485632000], [[[1, 5], [2, 8], [3, 4], [12, 1]], 3947161/624127031377920], [[[1, 5], [2, 8], [3, 5], [4, 1]], 9906313/1386948958617600], [[[1, 5], [2, 8], [3, 5], [6, 1]], 1403700941/46809527353344000], [[[1, 5], [2, 8], [4, 1], [6, 5]], 2426376889/20804234379264000], [[[1, 5], [2, 8], [4, 2], [5, 2]], 585933073/2201506283520000], [[[1, 5], [2, 8], [4, 2], [6, 4]], 204332514833/570630428688384000], [[[1, 5], [2, 8], [4, 2], [8, 2]], 17695084459/4931374075084800], [[[1, 5], [2, 8], [4, 2], [10, 2]], 3490237969/2201506283520000], [[[1, 5], [2, 8], [4, 2], [12, 2]], 95422993/1056723016089600], [[[1, 5], [2, 8], [4, 2], [15, 1]], 13308433/110075314176000], [[[1, 5], [2, 8], [4, 2], [16, 1]], 53/47185920], [[[1, 5], [2, 8], [4, 2], [20, 1]], 26994193/73383542784000], [[[1, 5], [2, 8], [4, 2], [24, 1]], 13308433/88060251340800], [[[1, 5], [2, 8], [4, 2], [30, 1]], 13308433/110075314176000], [[[1, 5], [2, 8], [4, 3], [6, 3]], 7833209/13209037701120], [[[1, 5], [2, 8], [4, 3], [7, 1]], 15809/49941577728], [[[1, 5], [2, 8], [4, 3], [9, 1]], 55351/240789749760], [[[1, 5], [2, 8], [4, 3], [14, 1]], 773/452984832], [[[1, 5], [2, 8], [4, 3], [18, 1]], 108281/183458856960], [[[1, 5], [2, 8], [4, 4], [5, 1]], 19597931071/77052719923200000], [[[1, 5], [2, 8], [4, 4], [6, 2]], 517655173/792542262067200], [[[1, 5], [2, 8], [4, 4], [8, 1]], 2335411081/821895679180800], [[[1, 5], [2, 8], [4, 4], [10, 1]], 21332147/24461180928000], [[[1, 5], [2, 8], [4, 4], [12, 1]], 268089073/264180754022400], [[[1, 5], [2, 8], [4, 5], [6, 1]], 998272613/2054739197952000], [[[1, 5], [2, 8], [5, 1], [6, 4]], 26373078821/260052929740800000], [[[1, 5], [2, 8], [5, 1], [8, 2]], 93650821/321052999680000], [[[1, 5], [2, 8], [5, 1], [10, 2]], 3073675813/1003290624000000], [[[1, 5], [2, 8], [5, 1], [12, 2]], 662821/481579499520000], [[[1, 5], [2, 8], [5, 1], [15, 1]], 662821/50164531200000], [[[1, 5], [2, 8], [5, 1], [20, 1]], 662821/33443020800000], [[[1, 5], [2, 8], [5, 1], [24, 1]], 662821/40131624960000], [[[1, 5], [2, 8], [5, 1], [30, 1]], 662821/50164531200000], [[[1, 5], [2, 8], [5, 2], [6, 2]], 1321003/10319560704000], [[[1, 5], [2, 8], [5, 2], [8, 1]], 1102231/10701766656000], [[[1, 5], [2, 8], [5, 2], [10, 1]], 128609/318504960000], [[[1, 5], [2, 8], [6, 2], [8, 2]], 1948771/3302259425280], [[[1, 5], [2, 8], [6, 2], [10, 2]], 12767923/10319560704000], [[[1, 5], [2, 8], [6, 2], [12, 2]], 149689/4953389137920], [[[1, 5], [2, 8], [6, 2], [15, 1]], 25003/515978035200], [[[1, 5], [2, 8], [6, 2], [20, 1]], 25003/343985356800], [[[1, 5], [2, 8], [6, 2], [24, 1]], 25003/412782428160], [[[1, 5], [2, 8], [6, 2], [30, 1]], 25003/515978035200], [[[1, 5], [2, 8], [6, 3], [7, 1]], 279439/1123685498880], [[[1, 5], [2, 8], [6, 3], [9, 1]], 2068903/13002646487040], [[[1, 5], [2, 8], [6, 3], [14, 1]], 204559/481579499520], [[[1, 5], [2, 8], [6, 3], [18, 1]], 430363/1857520926720], [[[1, 5], [2, 8], [6, 4], [8, 1]], 645779831/2773897917235200], [[[1, 5], [2, 8], [6, 4], [10, 1]], 4337/12582912000], [[[1, 5], [2, 8], [6, 4], [12, 1]], 785717/4953389137920], [[[1, 5], [2, 8], [7, 1], [9, 1]], 140461/4213820620800], [[[1, 5], [2, 8], [7, 1], [14, 1]], 27451/36415733760], [[[1, 5], [2, 8], [7, 1], [18, 1]], 1231/15606743040], [[[1, 5], [2, 8], [8, 1], [10, 2]], 15762583/10701766656000], [[[1, 5], [2, 8], [8, 1], [12, 2]], 13591/5136847994880], [[[1, 5], [2, 8], [8, 1], [15, 1]], 13591/535088332800], [[[1, 5], [2, 8], [8, 1], [16, 1]], 11/94371840], [[[1, 5], [2, 8], [8, 1], [20, 1]], 13591/356725555200], [[[1, 5], [2, 8], [8, 1], [24, 1]], 13591/428070666240], [[[1, 5], [2, 8], [8, 1], [30, 1]], 13591/535088332800], [[[1, 5], [2, 8], [8, 2], [10, 1]], 120689/101921587200], [[[1, 5], [2, 8], [9, 1], [14, 1]], 21109/140460687360], [[[1, 5], [2, 8], [9, 1], [18, 1]], 34843/180592312320], [[[1, 5], [2, 8], [10, 1], [12, 2]], 737/152882380800], [[[1, 5], [2, 8], [10, 1], [15, 1]], 737/15925248000], [[[1, 5], [2, 8], [10, 1], [20, 1]], 737/10616832000], [[[1, 5], [2, 8], [10, 1], [24, 1]], 737/12740198400], [[[1, 5], [2, 8], [10, 1], [30, 1]], 737/15925248000], [[[1, 5], [2, 8], [14, 1], [18, 1]], 1423/6688604160], [[[1, 5], [2, 10], [3, 1], [4, 4]], 27455065667/1109559166894080000], [[[1, 5], [2, 10], [3, 1], [5, 2]], 9083951/14447384985600000], [[[1, 5], [2, 10], [3, 1], [6, 4]], 51746791081/534966026895360000], [[[1, 5], [2, 10], [3, 1], [8, 2]], 40290947/4623163195392000], [[[1, 5], [2, 10], [3, 1], [10, 2]], 855458351/14447384985600000], [[[1, 5], [2, 10], [3, 1], [12, 2]], 222767/6934744793088000], [[[1, 5], [2, 10], [3, 1], [15, 1]], 222767/722369249280000], [[[1, 5], [2, 10], [3, 1], [20, 1]], 222767/481579499520000], [[[1, 5], [2, 10], [3, 1], [24, 1]], 222767/577895399424000], [[[1, 5], [2, 10], [3, 1], [30, 1]], 222767/722369249280000], [[[1, 5], [2, 10], [3, 2], [4, 3]], 69530551/2773897917235200], [[[1, 5], [2, 10], [3, 2], [6, 3]], 18994675313/89874292518420480], [[[1, 5], [2, 10], [3, 2], [7, 1]], 27911/50565847449600], [[[1, 5], [2, 10], [3, 2], [9, 1]], 773687/1300264648704000], [[[1, 5], [2, 10], [3, 2], [14, 1]], 115621/12641461862400], [[[1, 5], [2, 10], [3, 2], [18, 1]], 517211/195039697305600], [[[1, 5], [2, 10], [3, 3], [4, 2]], 83329319/9510507144806400], [[[1, 5], [2, 10], [3, 3], [5, 1]], 1765139/6501323243520000], [[[1, 5], [2, 10], [3, 3], [6, 2]], 7767009781/124825406275584000], [[[1, 5], [2, 10], [3, 3], [8, 1]], 2117489/2080423437926400], [[[1, 5], [2, 10], [3, 3], [10, 1]], 1475101/288947699712000], [[[1, 5], [2, 10], [3, 3], [12, 1]], 2426447/6934744793088000], [[[1, 5], [2, 10], [3, 4], [4, 1]], 2414556971/3328677500682240000], [[[1, 5], [2, 10], [3, 4], [6, 1]], 1313045317/499301625102336000], [[[1, 5], [2, 10], [4, 1], [5, 2]], 6479869/1834588569600000], [[[1, 5], [2, 10], [4, 1], [6, 4]], 31589616253/475525357240320000], [[[1, 5], [2, 10], [4, 1], [8, 2]], 34536313/587068342272000], [[[1, 5], [2, 10], [4, 1], [10, 2]], 412357309/1834588569600000], [[[1, 5], [2, 10], [4, 1], [12, 2]], 1235371/6164217593856000], [[[1, 5], [2, 10], [4, 1], [15, 1]], 1235371/642105999360000], [[[1, 5], [2, 10], [4, 1], [16, 1]], 13/3567255552], [[[1, 5], [2, 10], [4, 1], [20, 1]], 1235371/428070666240000], [[[1, 5], [2, 10], [4, 1], [24, 1]], 1235371/513684799488000], [[[1, 5], [2, 10], [4, 1], [30, 1]], 1235371/642105999360000], [[[1, 5], [2, 10], [4, 2], [6, 3]], 188715463/1248254062755840], [[[1, 5], [2, 10], [4, 2], [7, 1]], 17932813/719158719283200], [[[1, 5], [2, 10], [4, 2], [9, 1]], 17116913/924632639078400], [[[1, 5], [2, 10], [4, 2], [14, 1]], 54933997/359579359641600], [[[1, 5], [2, 10], [4, 2], [18, 1]], 895537/17336861982720], [[[1, 5], [2, 10], [4, 3], [5, 1]], 142683619/5136847994880000], [[[1, 5], [2, 10], [4, 3], [6, 2]], 73323599/462316319539200], [[[1, 5], [2, 10], [4, 3], [8, 1]], 467155639/3287582716723200], [[[1, 5], [2, 10], [4, 3], [10, 1]], 130441531/1027369598976000], [[[1, 5], [2, 10], [4, 3], [12, 1]], 14394451/440301256704000], [[[1, 5], [2, 10], [4, 4], [6, 1]], 30842075711/443823666757632000], [[[1, 5], [2, 10], [5, 1], [6, 3]], 168750257/6501323243520000], [[[1, 5], [2, 10], [5, 1], [7, 1]], 641/487710720000], [[[1, 5], [2, 10], [5, 1], [9, 1]], 90479/90296156160000], [[[1, 5], [2, 10], [5, 1], [14, 1]], 60211/3901685760000], [[[1, 5], [2, 10], [5, 1], [18, 1]], 420977/90296156160000], [[[1, 5], [2, 10], [5, 2], [6, 1]], 4034873/825564856320000], [[[1, 5], [2, 10], [6, 1], [8, 2]], 67566263/1849265278156800], [[[1, 5], [2, 10], [6, 1], [10, 2]], 870858383/5778953994240000], [[[1, 5], [2, 10], [6, 1], [12, 2]], 60473/396271131033600], [[[1, 5], [2, 10], [6, 1], [15, 1]], 60473/41278242816000], [[[1, 5], [2, 10], [6, 1], [20, 1]], 60473/27518828544000], [[[1, 5], [2, 10], [6, 1], [24, 1]], 60473/33022594252800], [[[1, 5], [2, 10], [6, 1], [30, 1]], 60473/41278242816000], [[[1, 5], [2, 10], [6, 2], [7, 1]], 129953/6742112993280], [[[1, 5], [2, 10], [6, 2], [9, 1]], 117743/8668430991360], [[[1, 5], [2, 10], [6, 2], [14, 1]], 5771/84276412416], [[[1, 5], [2, 10], [6, 2], [18, 1]], 58117/2140353331200], [[[1, 5], [2, 10], [6, 3], [8, 1]], 73203971/1386948958617600], [[[1, 5], [2, 10], [6, 3], [10, 1]], 1493171/14447384985600], [[[1, 5], [2, 10], [6, 3], [12, 1]], 18406597/924632639078400], [[[1, 5], [2, 10], [7, 1], [8, 1]], 2179/468202291200], [[[1, 5], [2, 10], [7, 1], [10, 1]], 5267/346816512000], [[[1, 5], [2, 10], [8, 1], [9, 1]], 19993/5778953994240], [[[1, 5], [2, 10], [8, 1], [14, 1]], 472831/14982473318400], [[[1, 5], [2, 10], [8, 1], [18, 1]], 201011/19263179980800], [[[1, 5], [2, 10], [9, 1], [10, 1]], 43741/4013162496000], [[[1, 5], [2, 10], [10, 1], [14, 1]], 1639/26011238400], [[[1, 5], [2, 10], [10, 1], [18, 1]], 187/8026324992], [[[1, 5], [2, 12], [3, 1], [4, 3]], 27568109/14794122225254400], [[[1, 5], [2, 12], [3, 1], [6, 3]], 2347415779/374476218826752000], [[[1, 5], [2, 12], [3, 1], [7, 1]], 5491/269684519731200], [[[1, 5], [2, 12], [3, 1], [9, 1]], 312869/16643387503411200], [[[1, 5], [2, 12], [3, 1], [14, 1]], 118081/337105649664000], [[[1, 5], [2, 12], [3, 1], [18, 1]], 32869/325066162176000], [[[1, 5], [2, 12], [3, 2], [4, 2]], 7974479/13314710002728960], [[[1, 5], [2, 12], [3, 2], [5, 1]], 1099/82556485632000], [[[1, 5], [2, 12], [3, 2], [6, 2]], 47013395927/14379886802947276800], [[[1, 5], [2, 12], [3, 2], [8, 1]], 3869/69347447930880], [[[1, 5], [2, 12], [3, 2], [10, 1]], 12803/38698352640000], [[[1, 5], [2, 12], [3, 2], [12, 1]], 218161/17752946670305280], [[[1, 5], [2, 12], [3, 3], [4, 1]], 601177/12482540627558400], [[[1, 5], [2, 12], [3, 3], [6, 1]], 2343073/13869489586176000], [[[1, 5], [2, 12], [4, 1], [6, 3]], 1226985401/166433875034112000], [[[1, 5], [2, 12], [4, 1], [7, 1]], 20047/89894839910400], [[[1, 5], [2, 12], [4, 1], [9, 1]], 4159/24766945689600], [[[1, 5], [2, 12], [4, 1], [14, 1]], 4087903/1797896798208000], [[[1, 5], [2, 12], [4, 1], [18, 1]], 231023/330225942528000], [[[1, 5], [2, 12], [4, 2], [5, 1]], 3323809/4403012567040000], [[[1, 5], [2, 12], [4, 2], [6, 2]], 2154011449/199720650040934400], [[[1, 5], [2, 12], [4, 2], [8, 1]], 168470783/49313740750848000], [[[1, 5], [2, 12], [4, 2], [10, 1]], 40455413/4403012567040000], [[[1, 5], [2, 12], [4, 2], [12, 1]], 227629/887647333515264], [[[1, 5], [2, 12], [4, 3], [6, 1]], 436872551/73970611126272000], [[[1, 5], [2, 12], [5, 1], [6, 2]], 93131/92876046336000], [[[1, 5], [2, 12], [5, 1], [8, 1]], 17669/160526499840000], [[[1, 5], [2, 12], [5, 1], [10, 1]], 226651/334430208000000], [[[1, 5], [2, 12], [6, 1], [7, 1]], 66329/269684519731200], [[[1, 5], [2, 12], [6, 1], [9, 1]], 21047/115579079884800], [[[1, 5], [2, 12], [6, 1], [14, 1]], 242429/134842259865600], [[[1, 5], [2, 12], [6, 1], [18, 1]], 3260263/5547795834470400], [[[1, 5], [2, 12], [6, 2], [8, 1]], 294167/115579079884800], [[[1, 5], [2, 12], [6, 2], [10, 1]], 11807/1719926784000], [[[1, 5], [2, 12], [6, 2], [12, 1]], 288611/657516543344640], [[[1, 5], [2, 12], [8, 1], [10, 1]], 225629/128421199872000], [[[1, 5], [2, 14], [3, 1], [4, 2]], 7792889/345196185255936000], [[[1, 5], [2, 14], [3, 1], [5, 1]], 84799/215747615784960000], [[[1, 5], [2, 14], [3, 1], [6, 2]], 6738721163/83882673017192448000], [[[1, 5], [2, 14], [3, 1], [8, 1]], 28529/14794122225254400], [[[1, 5], [2, 14], [3, 1], [10, 1]], 723409/57789539942400000], [[[1, 5], [2, 14], [3, 1], [12, 1]], 415187/1553382833651712000], [[[1, 5], [2, 14], [3, 2], [4, 1]], 138787/55477958344704000], [[[1, 5], [2, 14], [3, 2], [6, 1]], 65503589/8987429251842048000], [[[1, 5], [2, 14], [4, 1], [5, 1]], 1263457/308210879692800000], [[[1, 5], [2, 14], [4, 1], [6, 2]], 920731/4755253572403200], [[[1, 5], [2, 14], [4, 1], [8, 1]], 31116011/1380784741023744000], [[[1, 5], [2, 14], [4, 1], [10, 1]], 4477511/44030125670400000], [[[1, 5], [2, 14], [4, 1], [12, 1]], 3901/7397061112627200], [[[1, 5], [2, 14], [4, 2], [6, 1]], 1317521137/7988826001637376000], [[[1, 5], [2, 14], [5, 1], [6, 1]], 3313267/520105859481600000], [[[1, 5], [2, 14], [6, 1], [8, 1]], 5484223/221911833378816000], [[[1, 5], [2, 14], [6, 1], [10, 1]], 509521/5136847994880000], [[[1, 5], [2, 14], [6, 1], [12, 1]], 3263/2219118333788160], [[[1, 5], [2, 16], [3, 1], [4, 1]], 509813/6213531334606848000], [[[1, 5], [2, 16], [3, 1], [6, 1]], 6250613/29958097506140160000], [[[1, 5], [2, 16], [4, 1], [6, 1]], 113279809/93202970019102720000], [[[1, 5], [3, 1], [4, 3], [8, 3]], 1/28311552], [[[1, 5], [3, 1], [4, 6], [7, 1]], 1/1486356480], [[[1, 5], [3, 1], [4, 6], [9, 1]], 17/91729428480], [[[1, 5], [3, 1], [4, 7], [8, 1]], 1/6794772480], [[[1, 5], [3, 1], [5, 3], [7, 1]], 1/2016000], [[[1, 5], [3, 1], [5, 3], [9, 1]], 11/77760000], [[[1, 5], [3, 1], [6, 6], [7, 1]], 1/7524679680], [[[1, 5], [3, 1], [6, 6], [9, 1]], 1/29023764480], [[[1, 5], [3, 1], [7, 1], [9, 2]], 1/326592], [[[1, 5], [3, 1], [7, 1], [12, 3]], 1/2322432], [[[1, 5], [3, 1], [7, 2], [9, 1]], 1/169344], [[[1, 5], [3, 1], [9, 1], [12, 3]], 1/8957952], [[[1, 5], [3, 2], [4, 2], [5, 3]], 1/41472000], [[[1, 5], [3, 2], [4, 2], [6, 6]], 13/1981355655168], [[[1, 5], [3, 2], [4, 2], [9, 2]], 11/71663616], [[[1, 5], [3, 2], [4, 2], [12, 3]], 17371/82556485632], [[[1, 5], [3, 2], [4, 2], [28, 1]], 1/290304], [[[1, 5], [3, 2], [4, 2], [36, 1]], 1/1119744], [[[1, 5], [3, 2], [4, 4], [5, 2]], 397/143327232000], [[[1, 5], [3, 2], [4, 4], [6, 4]], 451/37150418534400], [[[1, 5], [3, 2], [4, 4], [8, 2]], 421/45864714240], [[[1, 5], [3, 2], [4, 4], [10, 2]], 181/143327232000], [[[1, 5], [3, 2], [4, 4], [12, 2]], 9889/68797071360], [[[1, 5], [3, 2], [4, 4], [15, 1]], 181/7166361600], [[[1, 5], [3, 2], [4, 4], [20, 1]], 113/955514880], [[[1, 5], [3, 2], [4, 4], [24, 1]], 181/5733089280], [[[1, 5], [3, 2], [4, 4], [30, 1]], 181/7166361600], [[[1, 5], [3, 2], [4, 6], [5, 1]], 1/3185049600], [[[1, 5], [3, 2], [4, 6], [6, 2]], 13/587068342272], [[[1, 5], [3, 2], [4, 6], [12, 1]], 144859/13209037701120], [[[1, 5], [3, 2], [5, 1], [6, 6]], 41/644972544000], [[[1, 5], [3, 2], [5, 1], [9, 2]], 7/4665600], [[[1, 5], [3, 2], [5, 1], [12, 3]], 41/199065600], [[[1, 5], [3, 2], [5, 2], [6, 4]], 487/483729408000], [[[1, 5], [3, 2], [5, 2], [8, 2]], 217/597196800], [[[1, 5], [3, 2], [5, 2], [10, 2]], 517/1866240000], [[[1, 5], [3, 2], [5, 2], [12, 2]], 47/179159040], [[[1, 5], [3, 2], [5, 2], [15, 1]], 217/93312000], [[[1, 5], [3, 2], [5, 2], [20, 1]], 217/62208000], [[[1, 5], [3, 2], [5, 2], [24, 1]], 217/74649600], [[[1, 5], [3, 2], [5, 2], [30, 1]], 217/93312000], [[[1, 5], [3, 2], [5, 3], [6, 2]], 41/2488320000], [[[1, 5], [3, 2], [5, 3], [12, 1]], 41/414720000], [[[1, 5], [3, 2], [6, 2], [7, 2]], 1/5419008], [[[1, 5], [3, 2], [6, 2], [9, 2]], 1/8957952], [[[1, 5], [3, 2], [6, 2], [12, 3]], 25/429981696], [[[1, 5], [3, 2], [6, 2], [18, 2]], 1/30233088], [[[1, 5], [3, 2], [6, 4], [8, 2]], 271/154793410560], [[[1, 5], [3, 2], [6, 4], [10, 2]], 271/483729408000], [[[1, 5], [3, 2], [6, 4], [12, 2]], 3799/232190115840], [[[1, 5], [3, 2], [6, 4], [15, 1]], 271/24186470400], [[[1, 5], [3, 2], [6, 4], [20, 1]], 271/16124313600], [[[1, 5], [3, 2], [6, 4], [24, 1]], 271/19349176320], [[[1, 5], [3, 2], [6, 4], [30, 1]], 271/24186470400], [[[1, 5], [3, 2], [6, 5], [18, 1]], 271/43535646720], [[[1, 5], [3, 2], [6, 6], [12, 1]], 277/232190115840], [[[1, 5], [3, 2], [7, 2], [12, 1]], 1/903168], [[[1, 5], [3, 2], [8, 2], [10, 2]], 1/597196800], [[[1, 5], [3, 2], [8, 2], [12, 2]], 19/286654464], [[[1, 5], [3, 2], [8, 2], [15, 1]], 1/29859840], [[[1, 5], [3, 2], [8, 2], [20, 1]], 1/19906560], [[[1, 5], [3, 2], [8, 2], [24, 1]], 11/7962624], [[[1, 5], [3, 2], [8, 2], [30, 1]], 1/29859840], [[[1, 5], [3, 2], [9, 2], [12, 1]], 1/1492992], [[[1, 5], [3, 2], [10, 2], [12, 2]], 19/895795200], [[[1, 5], [3, 2], [10, 2], [15, 1]], 1/93312000], [[[1, 5], [3, 2], [10, 2], [20, 1]], 1/62208000], [[[1, 5], [3, 2], [10, 2], [24, 1]], 1/74649600], [[[1, 5], [3, 2], [10, 2], [30, 1]], 1/93312000], [[[1, 5], [3, 2], [12, 1], [36, 1]], 1/559872], [[[1, 5], [3, 2], [12, 2], [15, 1]], 19/44789760], [[[1, 5], [3, 2], [12, 2], [20, 1]], 19/29859840], [[[1, 5], [3, 2], [12, 2], [24, 1]], 31/35831808], [[[1, 5], [3, 2], [12, 2], [30, 1]], 19/44789760], [[[1, 5], [3, 2], [15, 1], [20, 1]], 1/3110400], [[[1, 5], [3, 2], [15, 1], [24, 1]], 1/3732480], [[[1, 5], [3, 2], [15, 1], [30, 1]], 1/291600], [[[1, 5], [3, 2], [20, 1], [24, 1]], 1/2488320], [[[1, 5], [3, 2], [20, 1], [30, 1]], 1/3110400], [[[1, 5], [3, 2], [24, 1], [30, 1]], 1/3732480], [[[1, 5], [3, 3], [4, 1], [8, 3]], 1/382205952], [[[1, 5], [3, 3], [4, 4], [7, 1]], 1/20065812480], [[[1, 5], [3, 3], [4, 4], [9, 1]], 1087/77396705280], [[[1, 5], [3, 3], [4, 5], [8, 1]], 1/91729428480], [[[1, 5], [3, 3], [5, 2], [7, 1]], 1/261273600], [[[1, 5], [3, 3], [5, 2], [9, 1]], 1303/1007769600], [[[1, 5], [3, 3], [6, 4], [7, 1]], 811/67722117120], [[[1, 5], [3, 3], [6, 4], [9, 1]], 2437/261213880320], [[[1, 5], [3, 3], [7, 1], [8, 2]], 1/83607552], [[[1, 5], [3, 3], [7, 1], [10, 2]], 1/261273600], [[[1, 5], [3, 3], [7, 1], [12, 2]], 55/125411328], [[[1, 5], [3, 3], [7, 1], [15, 1]], 1/13063680], [[[1, 5], [3, 3], [7, 1], [20, 1]], 1/8709120], [[[1, 5], [3, 3], [7, 1], [24, 1]], 1/10450944], [[[1, 5], [3, 3], [7, 1], [30, 1]], 1/13063680], [[[1, 5], [3, 3], [8, 2], [9, 1]], 7/322486272], [[[1, 5], [3, 3], [9, 1], [10, 2]], 7/1007769600], [[[1, 5], [3, 3], [9, 1], [12, 2]], 169/483729408], [[[1, 5], [3, 3], [9, 1], [15, 1]], 7/50388480], [[[1, 5], [3, 3], [9, 1], [20, 1]], 7/33592320], [[[1, 5], [3, 3], [9, 1], [24, 1]], 7/40310784], [[[1, 5], [3, 3], [9, 1], [30, 1]], 7/50388480], [[[1, 5], [3, 4], [4, 2], [5, 2]], 641/3439853568000], [[[1, 5], [3, 4], [4, 2], [6, 4]], 600851/891610044825600], [[[1, 5], [3, 4], [4, 2], [8, 2]], 749/1100753141760], [[[1, 5], [3, 4], [4, 2], [10, 2]], 641/3439853568000], [[[1, 5], [3, 4], [4, 2], [12, 2]], 4996997/550376570880], [[[1, 5], [3, 4], [4, 2], [15, 1]], 641/171992678400], [[[1, 5], [3, 4], [4, 2], [20, 1]], 641/114661785600], [[[1, 5], [3, 4], [4, 2], [24, 1]], 641/137594142720], [[[1, 5], [3, 4], [4, 2], [30, 1]], 641/171992678400], [[[1, 5], [3, 4], [4, 4], [5, 1]], 401/17199267840000], [[[1, 5], [3, 4], [4, 4], [6, 2]], 109/247669456896], [[[1, 5], [3, 4], [4, 4], [12, 1]], 577/137594142720], [[[1, 5], [3, 4], [5, 1], [6, 4]], 406211/58047528960000], [[[1, 5], [3, 4], [5, 1], [8, 2]], 401/71663616000], [[[1, 5], [3, 4], [5, 1], [10, 2]], 401/223948800000], [[[1, 5], [3, 4], [5, 1], [12, 2]], 22271/107495424000], [[[1, 5], [3, 4], [5, 1], [15, 1]], 1555601/11197440000], [[[1, 5], [3, 4], [5, 1], [20, 1]], 401/7464960000], [[[1, 5], [3, 4], [5, 1], [24, 1]], 401/8957952000], [[[1, 5], [3, 4], [5, 1], [30, 1]], 401/11197440000], [[[1, 5], [3, 4], [5, 2], [6, 2]], 653/16124313600], [[[1, 5], [3, 4], [5, 2], [12, 1]], 653/2687385600], [[[1, 5], [3, 4], [6, 2], [8, 2]], 5/5159780352], [[[1, 5], [3, 4], [6, 2], [10, 2]], 1/3224862720], [[[1, 5], [3, 4], [6, 2], [12, 2]], 629/7739670528], [[[1, 5], [3, 4], [6, 2], [15, 1]], 1/161243136], [[[1, 5], [3, 4], [6, 2], [20, 1]], 1/107495424], [[[1, 5], [3, 4], [6, 2], [24, 1]], 221/644972544], [[[1, 5], [3, 4], [6, 2], [30, 1]], 1/161243136], [[[1, 5], [3, 4], [6, 3], [18, 1]], 5/1451188224], [[[1, 5], [3, 4], [6, 4], [12, 1]], 577/139314069504], [[[1, 5], [3, 4], [7, 1], [9, 1]], 41/940584960], [[[1, 5], [3, 4], [8, 2], [12, 1]], 5/859963392], [[[1, 5], [3, 4], [10, 2], [12, 1]], 1/537477120], [[[1, 5], [3, 4], [12, 1], [15, 1]], 1/26873856], [[[1, 5], [3, 4], [12, 1], [20, 1]], 1/17915904], [[[1, 5], [3, 4], [12, 1], [24, 1]], 5/107495424], [[[1, 5], [3, 4], [12, 1], [30, 1]], 1/26873856], [[[1, 5], [3, 5], [4, 2], [7, 1]], 1/5016453120], [[[1, 5], [3, 5], [4, 2], [9, 1]], 73/34398535680], [[[1, 5], [3, 5], [4, 3], [8, 1]], 1/22932357120], [[[1, 5], [3, 5], [5, 1], [7, 1]], 1/522547200], [[[1, 5], [3, 5], [5, 1], [9, 1]], 137/6718464000], [[[1, 5], [3, 5], [6, 2], [7, 1]], 11/7524679680], [[[1, 5], [3, 5], [6, 2], [9, 1]], 37/9674588160], [[[1, 5], [3, 5], [7, 1], [12, 1]], 11/1254113280], [[[1, 5], [3, 5], [9, 1], [12, 1]], 37/1612431360], [[[1, 5], [3, 6], [4, 2], [5, 1]], 1/10749542400], [[[1, 5], [3, 6], [4, 2], [6, 2]], 47/660451885056], [[[1, 5], [3, 6], [4, 2], [12, 1]], 22363/44580502241280], [[[1, 5], [3, 6], [5, 1], [6, 2]], 49/71663616000], [[[1, 5], [3, 6], [5, 1], [12, 1]], 49/11943936000], [[[1, 5], [3, 6], [6, 1], [18, 1]], 13/130606940160], [[[1, 5], [3, 6], [6, 2], [12, 1]], 661/696570347520], [[[1, 5], [3, 7], [4, 1], [8, 1]], 1/309586821120], [[[1, 5], [4, 1], [7, 1], [8, 3]], 1/1376256], [[[1, 5], [4, 1], [8, 3], [9, 1]], 1/5308416], [[[1, 5], [4, 2], [5, 1], [12, 3]], 7/149299200], [[[1, 5], [4, 2], [5, 1], [28, 1]], 1/134400], [[[1, 5], [4, 2], [5, 1], [36, 1]], 1/518400], [[[1, 5], [4, 2], [5, 2], [6, 4]], 1/3439853568000], [[[1, 5], [4, 2], [5, 2], [8, 2]], 109/4246732800], [[[1, 5], [4, 2], [5, 2], [10, 2]], 301/13271040000], [[[1, 5], [4, 2], [5, 2], [12, 2]], 1/6370099200], [[[1, 5], [4, 2], [5, 2], [15, 1]], 1/663552000], [[[1, 5], [4, 2], [5, 2], [20, 1]], 1/442368000], [[[1, 5], [4, 2], [5, 2], [24, 1]], 1/530841600], [[[1, 5], [4, 2], [5, 2], [30, 1]], 1/663552000], [[[1, 5], [4, 2], [5, 3], [12, 1]], 1/103680000], [[[1, 5], [4, 2], [6, 2], [12, 3]], 1/3057647616], [[[1, 5], [4, 2], [6, 2], [18, 2]], 1/214990848], [[[1, 5], [4, 2], [6, 4], [8, 2]], 109/1100753141760], [[[1, 5], [4, 2], [6, 4], [10, 2]], 1/3439853568000], [[[1, 5], [4, 2], [6, 4], [12, 2]], 271/1651129712640], [[[1, 5], [4, 2], [6, 4], [15, 1]], 1/171992678400], [[[1, 5], [4, 2], [6, 4], [20, 1]], 1/114661785600], [[[1, 5], [4, 2], [6, 4], [24, 1]], 1/137594142720], [[[1, 5], [4, 2], [6, 4], [30, 1]], 1/171992678400], [[[1, 5], [4, 2], [6, 5], [18, 1]], 1/309586821120], [[[1, 5], [4, 2], [6, 6], [12, 1]], 1/1651129712640], [[[1, 5], [4, 2], [7, 2], [12, 1]], 1/225792], [[[1, 5], [4, 2], [8, 2], [10, 2]], 109/4246732800], [[[1, 5], [4, 2], [8, 2], [12, 2]], 109/2038431744], [[[1, 5], [4, 2], [8, 2], [15, 1]], 109/212336640], [[[1, 5], [4, 2], [8, 2], [20, 1]], 109/141557760], [[[1, 5], [4, 2], [8, 2], [24, 1]], 47/56623104], [[[1, 5], [4, 2], [8, 2], [30, 1]], 109/212336640], [[[1, 5], [4, 2], [9, 2], [12, 1]], 1/3359232], [[[1, 5], [4, 2], [10, 2], [12, 2]], 1/6370099200], [[[1, 5], [4, 2], [10, 2], [15, 1]], 1/663552000], [[[1, 5], [4, 2], [10, 2], [20, 1]], 1/442368000], [[[1, 5], [4, 2], [10, 2], [24, 1]], 1/530841600], [[[1, 5], [4, 2], [10, 2], [30, 1]], 1/663552000], [[[1, 5], [4, 2], [12, 1], [36, 1]], 1/3981312], [[[1, 5], [4, 2], [12, 2], [15, 1]], 1/318504960], [[[1, 5], [4, 2], [12, 2], [20, 1]], 1/212336640], [[[1, 5], [4, 2], [12, 2], [24, 1]], 13/254803968], [[[1, 5], [4, 2], [12, 2], [30, 1]], 1/318504960], [[[1, 5], [4, 2], [15, 1], [20, 1]], 1/22118400], [[[1, 5], [4, 2], [15, 1], [24, 1]], 1/26542080], [[[1, 5], [4, 2], [15, 1], [30, 1]], 1/2073600], [[[1, 5], [4, 2], [20, 1], [24, 1]], 1/17694720], [[[1, 5], [4, 2], [20, 1], [30, 1]], 1/22118400], [[[1, 5], [4, 2], [24, 1], [30, 1]], 1/26542080], [[[1, 5], [4, 4], [5, 1], [6, 4]], 1/17199267840000], [[[1, 5], [4, 4], [5, 1], [8, 2]], 241/21233664000], [[[1, 5], [4, 4], [5, 1], [10, 2]], 1/66355200000], [[[1, 5], [4, 4], [5, 1], [12, 2]], 3841/31850496000], [[[1, 5], [4, 4], [5, 1], [15, 1]], 1/3317760000], [[[1, 5], [4, 4], [5, 1], [20, 1]], 77/442368000], [[[1, 5], [4, 4], [5, 1], [24, 1]], 1/2654208000], [[[1, 5], [4, 4], [5, 1], [30, 1]], 1/3317760000], [[[1, 5], [4, 4], [5, 2], [12, 1]], 1/1592524800], [[[1, 5], [4, 4], [6, 2], [12, 2]], 1/764411904], [[[1, 5], [4, 4], [6, 4], [12, 1]], 1/412782428160], [[[1, 5], [4, 4], [7, 1], [9, 1]], 1/278691840], [[[1, 5], [4, 4], [8, 1], [16, 1]], 1/9437184], [[[1, 5], [4, 4], [8, 2], [12, 1]], 121/509607936], [[[1, 5], [4, 4], [10, 2], [12, 1]], 1/1592524800], [[[1, 5], [4, 4], [12, 1], [15, 1]], 1/79626240], [[[1, 5], [4, 4], [12, 1], [20, 1]], 13/53084160], [[[1, 5], [4, 4], [12, 1], [24, 1]], 7/63700992], [[[1, 5], [4, 4], [12, 1], [30, 1]], 1/79626240], [[[1, 5], [4, 5], [7, 1], [8, 1]], 1/330301440], [[[1, 5], [4, 5], [8, 1], [9, 1]], 1/1274019840], [[[1, 5], [4, 6], [5, 1], [12, 1]], 19/23887872000], [[[1, 5], [4, 6], [6, 1], [18, 1]], 1/91729428480], [[[1, 5], [4, 6], [6, 2], [12, 1]], 1/489223618560], [[[1, 5], [5, 1], [6, 2], [12, 3]], 1/199065600], [[[1, 5], [5, 1], [6, 2], [18, 2]], 1/13996800], [[[1, 5], [5, 1], [6, 4], [8, 2]], 1/71663616000], [[[1, 5], [5, 1], [6, 4], [10, 2]], 1/223948800000], [[[1, 5], [5, 1], [6, 4], [12, 2]], 271/107495424000], [[[1, 5], [5, 1], [6, 4], [15, 1]], 1/11197440000], [[[1, 5], [5, 1], [6, 4], [20, 1]], 1/7464960000], [[[1, 5], [5, 1], [6, 4], [24, 1]], 1/8957952000], [[[1, 5], [5, 1], [6, 4], [30, 1]], 1/11197440000], [[[1, 5], [5, 1], [6, 5], [18, 1]], 1/20155392000], [[[1, 5], [5, 1], [6, 6], [12, 1]], 1/107495424000], [[[1, 5], [5, 1], [8, 2], [10, 2]], 1/276480000], [[[1, 5], [5, 1], [8, 2], [12, 2]], 1/132710400], [[[1, 5], [5, 1], [8, 2], [15, 1]], 1/13824000], [[[1, 5], [5, 1], [8, 2], [20, 1]], 1/9216000], [[[1, 5], [5, 1], [8, 2], [24, 1]], 11/3686400], [[[1, 5], [5, 1], [8, 2], [30, 1]], 1/13824000], [[[1, 5], [5, 1], [10, 2], [12, 2]], 1/414720000], [[[1, 5], [5, 1], [10, 2], [15, 1]], 1/43200000], [[[1, 5], [5, 1], [10, 2], [20, 1]], 1/28800000], [[[1, 5], [5, 1], [10, 2], [24, 1]], 1/34560000], [[[1, 5], [5, 1], [10, 2], [30, 1]], 1/43200000], [[[1, 5], [5, 1], [12, 1], [36, 1]], 1/259200], [[[1, 5], [5, 1], [12, 2], [15, 1]], 1/20736000], [[[1, 5], [5, 1], [12, 2], [20, 1]], 1/13824000], [[[1, 5], [5, 1], [12, 2], [24, 1]], 13/16588800], [[[1, 5], [5, 1], [12, 2], [30, 1]], 1/20736000], [[[1, 5], [5, 1], [15, 1], [20, 1]], 1/1440000], [[[1, 5], [5, 1], [15, 1], [24, 1]], 1/1728000], [[[1, 5], [5, 1], [15, 1], [30, 1]], 1/135000], [[[1, 5], [5, 1], [20, 1], [24, 1]], 1/1152000], [[[1, 5], [5, 1], [20, 1], [30, 1]], 1/1440000], [[[1, 5], [5, 1], [24, 1], [30, 1]], 1/1728000], [[[1, 5], [5, 2], [7, 1], [9, 1]], 1/3628800], [[[1, 5], [5, 3], [6, 1], [18, 1]], 1/77760000], [[[1, 5], [5, 3], [6, 2], [12, 1]], 1/414720000], [[[1, 5], [6, 1], [7, 2], [18, 1]], 1/169344], [[[1, 5], [6, 1], [9, 2], [18, 1]], 1/2519424], [[[1, 5], [6, 2], [7, 2], [12, 1]], 1/903168], [[[1, 5], [6, 2], [9, 2], [12, 1]], 1/13436928], [[[1, 5], [6, 4], [7, 1], [9, 1]], 1/940584960], [[[1, 5], [7, 1], [8, 2], [9, 1]], 1/1161216], [[[1, 5], [7, 1], [9, 1], [10, 2]], 1/3628800], [[[1, 5], [7, 1], [9, 1], [12, 2]], 1/1741824], [[[1, 5], [7, 1], [9, 1], [15, 1]], 1/181440], [[[1, 5], [7, 1], [9, 1], [20, 1]], 1/120960], [[[1, 5], [7, 1], [9, 1], [24, 1]], 1/145152], [[[1, 5], [7, 1], [9, 1], [30, 1]], 1/181440], [[[1, 6], [2, 1], [3, 1], [4, 8]], 148049/11095591668940800], [[[1, 6], [2, 1], [3, 1], [5, 4]], 12449/89579520000], [[[1, 6], [2, 1], [3, 1], [6, 8]], 37/30091839012864000], [[[1, 6], [2, 1], [3, 1], [8, 4]], 37/25480396800], [[[1, 6], [2, 1], [3, 1], [10, 4]], 37/447897600000], [[[1, 6], [2, 1], [3, 1], [12, 4]], 851/1547934105600], [[[1, 6], [2, 1], [3, 1], [15, 2]], 37/1119744000], [[[1, 6], [2, 1], [3, 1], [16, 2]], 37/238878720], [[[1, 6], [2, 1], [3, 1], [20, 2]], 37/298598400], [[[1, 6], [2, 1], [3, 1], [24, 2]], 37/238878720], [[[1, 6], [2, 1], [3, 1], [30, 2]], 37/1119744000], [[[1, 6], [2, 1], [3, 1], [40, 1]], 37/24883200], [[[1, 6], [2, 1], [3, 1], [48, 1]], 37/29859840], [[[1, 6], [2, 1], [3, 1], [60, 1]], 37/37324800], [[[1, 6], [2, 1], [3, 2], [4, 7]], 4243/3852635996160], [[[1, 6], [2, 1], [3, 2], [6, 7]], 65/417942208512], [[[1, 6], [2, 1], [3, 3], [4, 6]], 403/825564856320], [[[1, 6], [2, 1], [3, 3], [5, 3]], 8887/5598720000], [[[1, 6], [2, 1], [3, 3], [6, 6]], 218437/167176883404800], [[[1, 6], [2, 1], [3, 3], [7, 2]], 1/4064256], [[[1, 6], [2, 1], [3, 3], [8, 3]], 25/1146617856], [[[1, 6], [2, 1], [3, 3], [9, 2]], 1337/3627970560], [[[1, 6], [2, 1], [3, 3], [12, 3]], 16837/51597803520], [[[1, 6], [2, 1], [3, 4], [4, 5]], 3739/24461180928000], [[[1, 6], [2, 1], [3, 4], [6, 5]], 497/139314069504], [[[1, 6], [2, 1], [3, 5], [4, 4]], 1769587/4458050224128000], [[[1, 6], [2, 1], [3, 5], [5, 2]], 3165541/58047528960000], [[[1, 6], [2, 1], [3, 5], [6, 4]], 28971007/15045919506432000], [[[1, 6], [2, 1], [3, 5], [8, 2]], 24037/18575209267200], [[[1, 6], [2, 1], [3, 5], [10, 2]], 24037/58047528960000], [[[1, 6], [2, 1], [3, 5], [12, 2]], 1762027/27862813900800], [[[1, 6], [2, 1], [3, 5], [15, 1]], 24037/2902376448000], [[[1, 6], [2, 1], [3, 5], [20, 1]], 24037/1934917632000], [[[1, 6], [2, 1], [3, 5], [24, 1]], 24037/2321901158400], [[[1, 6], [2, 1], [3, 5], [30, 1]], 24037/2902376448000], [[[1, 6], [2, 1], [3, 6], [4, 3]], 67/1857520926720], [[[1, 6], [2, 1], [3, 6], [6, 3]], 1169/1253826625536], [[[1, 6], [2, 1], [3, 6], [7, 1]], 13/8465264640], [[[1, 6], [2, 1], [3, 6], [9, 1]], 941999/1741425868800], [[[1, 6], [2, 1], [3, 6], [14, 1]], 13/67722117120], [[[1, 6], [2, 1], [3, 6], [18, 1]], 13/87071293440], [[[1, 6], [2, 1], [3, 7], [4, 2]], 61/928760463360], [[[1, 6], [2, 1], [3, 7], [5, 1]], 349/483729408000], [[[1, 6], [2, 1], [3, 7], [6, 2]], 11479/55725627801600], [[[1, 6], [2, 1], [3, 7], [8, 1]], 7/61917364224], [[[1, 6], [2, 1], [3, 7], [12, 1]], 11479/9287604633600], [[[1, 6], [2, 1], [3, 8], [4, 1]], 1067/495338913792000], [[[1, 6], [2, 1], [3, 8], [6, 1]], 1/46438023168], [[[1, 6], [2, 1], [4, 1], [5, 4]], 77/4423680000], [[[1, 6], [2, 1], [4, 1], [6, 8]], 1/1486016741376000], [[[1, 6], [2, 1], [4, 1], [8, 4]], 203/3774873600], [[[1, 6], [2, 1], [4, 1], [10, 4]], 1/22118400000], [[[1, 6], [2, 1], [4, 1], [12, 4]], 23/76441190400], [[[1, 6], [2, 1], [4, 1], [15, 2]], 1/55296000], [[[1, 6], [2, 1], [4, 1], [16, 2]], 1/11796480], [[[1, 6], [2, 1], [4, 1], [20, 2]], 1/14745600], [[[1, 6], [2, 1], [4, 1], [24, 2]], 1/11796480], [[[1, 6], [2, 1], [4, 1], [30, 2]], 1/55296000], [[[1, 6], [2, 1], [4, 1], [40, 1]], 1/1228800], [[[1, 6], [2, 1], [4, 1], [48, 1]], 1/1474560], [[[1, 6], [2, 1], [4, 1], [60, 1]], 1/1843200], [[[1, 6], [2, 1], [4, 2], [6, 7]], 1/14860167413760], [[[1, 6], [2, 1], [4, 3], [5, 3]], 1/491520000], [[[1, 6], [2, 1], [4, 3], [7, 2]], 1/2408448], [[[1, 6], [2, 1], [4, 3], [8, 3]], 385/301989888], [[[1, 6], [2, 1], [4, 3], [9, 2]], 1/35831808], [[[1, 6], [2, 1], [4, 3], [10, 3]], 1/884736000], [[[1, 6], [2, 1], [4, 3], [12, 3]], 49/3822059520], [[[1, 6], [2, 1], [4, 3], [28, 1]], 11/10321920], [[[1, 6], [2, 1], [4, 3], [36, 1]], 7/13271040], [[[1, 6], [2, 1], [4, 5], [5, 2]], 3/10485760000], [[[1, 6], [2, 1], [4, 5], [6, 4]], 17/73383542784000], [[[1, 6], [2, 1], [4, 5], [8, 2]], 2717/90596966400], [[[1, 6], [2, 1], [4, 5], [10, 2]], 17/283115520000], [[[1, 6], [2, 1], [4, 5], [12, 2]], 7697/135895449600], [[[1, 6], [2, 1], [4, 5], [15, 1]], 17/14155776000], [[[1, 6], [2, 1], [4, 5], [16, 1]], 1/28311552], [[[1, 6], [2, 1], [4, 5], [20, 1]], 727/5662310400], [[[1, 6], [2, 1], [4, 5], [24, 1]], 17/11324620800], [[[1, 6], [2, 1], [4, 5], [30, 1]], 17/14155776000], [[[1, 6], [2, 1], [4, 6], [6, 3]], 1/4403012567040], [[[1, 6], [2, 1], [4, 6], [7, 1]], 1/3397386240], [[[1, 6], [2, 1], [4, 6], [9, 1]], 1/11466178560], [[[1, 6], [2, 1], [4, 6], [14, 1]], 1/47563407360], [[[1, 6], [2, 1], [4, 6], [18, 1]], 1/61152952320], [[[1, 6], [2, 1], [4, 7], [5, 1]], 89/1426902220800], [[[1, 6], [2, 1], [4, 7], [8, 1]], 43/43486543872], [[[1, 6], [2, 1], [4, 7], [10, 1]], 1/67947724800], [[[1, 6], [2, 1], [4, 7], [12, 1]], 1313/611529523200], [[[1, 6], [2, 1], [5, 1], [6, 7]], 1/967458816000], [[[1, 6], [2, 1], [5, 3], [6, 3]], 1/3732480000], [[[1, 6], [2, 1], [5, 3], [7, 1]], 1/3360000], [[[1, 6], [2, 1], [5, 3], [9, 1]], 7/77760000], [[[1, 6], [2, 1], [5, 3], [14, 1]], 1/40320000], [[[1, 6], [2, 1], [5, 3], [18, 1]], 1/51840000], [[[1, 6], [2, 1], [6, 3], [7, 2]], 1/8128512], [[[1, 6], [2, 1], [6, 3], [9, 2]], 1/120932352], [[[1, 6], [2, 1], [7, 1], [8, 3]], 1/4128768], [[[1, 6], [2, 1], [7, 1], [9, 2]], 1/163296], [[[1, 6], [2, 1], [7, 2], [9, 1]], 1/56448], [[[1, 6], [2, 1], [7, 2], [14, 1]], 1/87808], [[[1, 6], [2, 1], [7, 2], [18, 1]], 1/112896], [[[1, 6], [2, 1], [8, 3], [9, 1]], 1/15925248], [[[1, 6], [2, 1], [9, 2], [14, 1]], 1/1306368], [[[1, 6], [2, 1], [9, 2], [18, 1]], 1/1679616], [[[1, 6], [2, 3], [3, 1], [4, 7]], 909469/20547391979520], [[[1, 6], [2, 3], [3, 1], [6, 7]], 168671/150459195064320], [[[1, 6], [2, 3], [3, 2], [4, 6]], 45013/1467670855680], [[[1, 6], [2, 3], [3, 2], [5, 3]], 937/207360000], [[[1, 6], [2, 3], [3, 2], [6, 6]], 60758473/2674830134476800], [[[1, 6], [2, 3], [3, 2], [7, 2]], 23/4064256], [[[1, 6], [2, 3], [3, 2], [8, 3]], 233/477757440], [[[1, 6], [2, 3], [3, 2], [9, 2]], 29/15925248], [[[1, 6], [2, 3], [3, 2], [10, 3]], 23/746496000], [[[1, 6], [2, 3], [3, 2], [12, 3]], 2059/30576476160], [[[1, 6], [2, 3], [3, 2], [14, 2]], 1/903168], [[[1, 6], [2, 3], [3, 2], [18, 2]], 23/40310784], [[[1, 6], [2, 3], [3, 3], [4, 5]], 629509/33022594252800], [[[1, 6], [2, 3], [3, 3], [6, 5]], 2101253/16717688340480], [[[1, 6], [2, 3], [3, 4], [4, 4]], 25395961/2641807540224000], [[[1, 6], [2, 3], [3, 4], [5, 2]], 47322763/34398535680000], [[[1, 6], [2, 3], [3, 4], [6, 4]], 3867728401/8916100448256000], [[[1, 6], [2, 3], [3, 4], [8, 2]], 3977251/11007531417600], [[[1, 6], [2, 3], [3, 4], [10, 2]], 366091/34398535680000], [[[1, 6], [2, 3], [3, 4], [12, 2]], 13916581/16511297126400], [[[1, 6], [2, 3], [3, 4], [15, 1]], 366091/1719926784000], [[[1, 6], [2, 3], [3, 4], [20, 1]], 366091/1146617856000], [[[1, 6], [2, 3], [3, 4], [24, 1]], 366091/1375941427200], [[[1, 6], [2, 3], [3, 4], [30, 1]], 366091/1719926784000], [[[1, 6], [2, 3], [3, 5], [4, 3]], 131573/16511297126400], [[[1, 6], [2, 3], [3, 5], [6, 3]], 1390197461/150459195064320], [[[1, 6], [2, 3], [3, 5], [7, 1]], 6031/75246796800], [[[1, 6], [2, 3], [3, 5], [9, 1]], 160601/1031956070400], [[[1, 6], [2, 3], [3, 5], [14, 1]], 110743/2708884684800], [[[1, 6], [2, 3], [3, 5], [18, 1]], 56831/2089711042560], [[[1, 6], [2, 3], [3, 6], [4, 2]], 43801/14860167413760], [[[1, 6], [2, 3], [3, 6], [5, 1]], 3733/96745881600], [[[1, 6], [2, 3], [3, 6], [6, 2]], 2501688073/2674830134476800], [[[1, 6], [2, 3], [3, 6], [8, 1]], 22619/1160950579200], [[[1, 6], [2, 3], [3, 6], [10, 1]], 299/580475289600], [[[1, 6], [2, 3], [3, 6], [12, 1]], 276313/5503765708800], [[[1, 6], [2, 3], [3, 7], [4, 1]], 30653/37150418534400], [[[1, 6], [2, 3], [3, 7], [6, 1]], 9367/1857520926720], [[[1, 6], [2, 3], [4, 1], [6, 7]], 199/2321901158400], [[[1, 6], [2, 3], [4, 2], [5, 3]], 13627/8847360000], [[[1, 6], [2, 3], [4, 2], [6, 6]], 1469/14860167413760], [[[1, 6], [2, 3], [4, 2], [7, 2]], 535/57802752], [[[1, 6], [2, 3], [4, 2], [8, 3]], 242111/13589544960], [[[1, 6], [2, 3], [4, 2], [9, 2]], 445/286654464], [[[1, 6], [2, 3], [4, 2], [10, 3]], 961/26542080000], [[[1, 6], [2, 3], [4, 2], [12, 3]], 5369/22932357120], [[[1, 6], [2, 3], [4, 2], [14, 2]], 5/19267584], [[[1, 6], [2, 3], [4, 2], [18, 2]], 41/286654464], [[[1, 6], [2, 3], [4, 2], [28, 1]], 263/20643840], [[[1, 6], [2, 3], [4, 2], [36, 1]], 767/79626240], [[[1, 6], [2, 3], [4, 3], [6, 5]], 1291/16511297126400], [[[1, 6], [2, 3], [4, 4], [5, 2]], 2730233/10192158720000], [[[1, 6], [2, 3], [4, 4], [6, 4]], 423827/880602513408000], [[[1, 6], [2, 3], [4, 4], [8, 2]], 49119041/3261490790400], [[[1, 6], [2, 3], [4, 4], [10, 2]], 1193081/10192158720000], [[[1, 6], [2, 3], [4, 4], [12, 2]], 10411001/4892236185600], [[[1, 6], [2, 3], [4, 4], [15, 1]], 69881/509607936000], [[[1, 6], [2, 3], [4, 4], [16, 1]], 43/11796480], [[[1, 6], [2, 3], [4, 4], [20, 1]], 358117/67947724800], [[[1, 6], [2, 3], [4, 4], [24, 1]], 69881/407686348800], [[[1, 6], [2, 3], [4, 4], [30, 1]], 69881/509607936000], [[[1, 6], [2, 3], [4, 5], [6, 3]], 29/114661785600], [[[1, 6], [2, 3], [4, 5], [7, 1]], 85963/118908518400], [[[1, 6], [2, 3], [4, 5], [9, 1]], 89989/458647142400], [[[1, 6], [2, 3], [4, 5], [14, 1]], 361/19818086400], [[[1, 6], [2, 3], [4, 5], [18, 1]], 43/3185049600], [[[1, 6], [2, 3], [4, 6], [5, 1]], 19843/679477248000], [[[1, 6], [2, 3], [4, 6], [6, 2]], 353/1467670855680], [[[1, 6], [2, 3], [4, 6], [8, 1]], 1463159/3261490790400], [[[1, 6], [2, 3], [4, 6], [10, 1]], 24361/2038431744000], [[[1, 6], [2, 3], [4, 6], [12, 1]], 989039/3669177139200], [[[1, 6], [2, 3], [4, 7], [6, 1]], 351571/102736959897600], [[[1, 6], [2, 3], [5, 1], [6, 6]], 91/193491763200], [[[1, 6], [2, 3], [5, 1], [7, 2]], 19/940800], [[[1, 6], [2, 3], [5, 1], [8, 3]], 23/44236800], [[[1, 6], [2, 3], [5, 1], [9, 2]], 11/2332800], [[[1, 6], [2, 3], [5, 1], [10, 3]], 7/69120000], [[[1, 6], [2, 3], [5, 1], [14, 2]], 13/3763200], [[[1, 6], [2, 3], [5, 1], [18, 2]], 7/3732480], [[[1, 6], [2, 3], [5, 2], [6, 4]], 6041/11466178560000], [[[1, 6], [2, 3], [5, 2], [8, 2]], 18083/42467328000], [[[1, 6], [2, 3], [5, 2], [10, 2]], 19823/132710400000], [[[1, 6], [2, 3], [5, 2], [12, 2]], 16523/63700992000], [[[1, 6], [2, 3], [5, 2], [15, 1]], 16523/6635520000], [[[1, 6], [2, 3], [5, 2], [20, 1]], 16523/4423680000], [[[1, 6], [2, 3], [5, 2], [24, 1]], 16523/5308416000], [[[1, 6], [2, 3], [5, 2], [30, 1]], 16523/6635520000], [[[1, 6], [2, 3], [5, 3], [6, 2]], 7/248832000], [[[1, 6], [2, 3], [5, 3], [8, 1]], 23/138240000], [[[1, 6], [2, 3], [5, 3], [10, 1]], 7/69120000], [[[1, 6], [2, 3], [6, 2], [7, 2]], 11/2709504], [[[1, 6], [2, 3], [6, 2], [8, 3]], 5/15925248], [[[1, 6], [2, 3], [6, 2], [9, 2]], 23/40310784], [[[1, 6], [2, 3], [6, 2], [10, 3]], 1/497664000], [[[1, 6], [2, 3], [6, 2], [12, 3]], 19/3397386240], [[[1, 6], [2, 3], [6, 2], [18, 2]], 91/2149908480], [[[1, 6], [2, 3], [6, 4], [8, 2]], 39457/3669177139200], [[[1, 6], [2, 3], [6, 4], [10, 2]], 179/3822059520000], [[[1, 6], [2, 3], [6, 4], [12, 2]], 10109/1834588569600], [[[1, 6], [2, 3], [6, 4], [15, 1]], 179/191102976000], [[[1, 6], [2, 3], [6, 4], [20, 1]], 179/127401984000], [[[1, 6], [2, 3], [6, 4], [24, 1]], 179/152882380800], [[[1, 6], [2, 3], [6, 4], [30, 1]], 179/191102976000], [[[1, 6], [2, 3], [6, 5], [7, 1]], 727/30098718720], [[[1, 6], [2, 3], [6, 5], [9, 1]], 91/14511882240], [[[1, 6], [2, 3], [6, 5], [14, 1]], 1/60197437440], [[[1, 6], [2, 3], [6, 5], [18, 1]], 1651/3095868211200], [[[1, 6], [2, 3], [6, 6], [8, 1]], 7/51597803520], [[[1, 6], [2, 3], [6, 6], [10, 1]], 1/128994508800], [[[1, 6], [2, 3], [6, 6], [12, 1]], 1771/16511297126400], [[[1, 6], [2, 3], [7, 2], [8, 1]], 11/602112], [[[1, 6], [2, 3], [7, 2], [10, 1]], 11/752640], [[[1, 6], [2, 3], [8, 1], [9, 2]], 29/8957952], [[[1, 6], [2, 3], [8, 1], [10, 3]], 1/36864000], [[[1, 6], [2, 3], [8, 1], [14, 2]], 1/1204224], [[[1, 6], [2, 3], [8, 1], [18, 2]], 1/1990656], [[[1, 6], [2, 3], [8, 2], [10, 2]], 1571/42467328000], [[[1, 6], [2, 3], [8, 2], [12, 2]], 1571/20384317440], [[[1, 6], [2, 3], [8, 2], [15, 1]], 1571/2123366400], [[[1, 6], [2, 3], [8, 2], [16, 1]], 1/196608], [[[1, 6], [2, 3], [8, 2], [20, 1]], 1571/1415577600], [[[1, 6], [2, 3], [8, 2], [24, 1]], 641/566231040], [[[1, 6], [2, 3], [8, 2], [30, 1]], 1571/2123366400], [[[1, 6], [2, 3], [8, 3], [10, 1]], 1/11796480], [[[1, 6], [2, 3], [9, 2], [10, 1]], 23/11197440], [[[1, 6], [2, 3], [10, 2], [12, 2]], 11/63700992000], [[[1, 6], [2, 3], [10, 2], [15, 1]], 11/6635520000], [[[1, 6], [2, 3], [10, 2], [20, 1]], 11/4423680000], [[[1, 6], [2, 3], [10, 2], [24, 1]], 11/5308416000], [[[1, 6], [2, 3], [10, 2], [30, 1]], 11/6635520000], [[[1, 6], [2, 3], [12, 1], [36, 1]], 11/39813120], [[[1, 6], [2, 3], [12, 2], [15, 1]], 11/3185049600], [[[1, 6], [2, 3], [12, 2], [20, 1]], 11/2123366400], [[[1, 6], [2, 3], [12, 2], [24, 1]], 143/2548039680], [[[1, 6], [2, 3], [12, 2], [30, 1]], 11/3185049600], [[[1, 6], [2, 3], [15, 1], [20, 1]], 11/221184000], [[[1, 6], [2, 3], [15, 1], [24, 1]], 11/265420800], [[[1, 6], [2, 3], [15, 1], [30, 1]], 11/20736000], [[[1, 6], [2, 3], [20, 1], [24, 1]], 11/176947200], [[[1, 6], [2, 3], [20, 1], [30, 1]], 11/221184000], [[[1, 6], [2, 3], [24, 1], [30, 1]], 11/265420800], [[[1, 6], [2, 5], [3, 1], [4, 6]], 228379897/528361508044800], [[[1, 6], [2, 5], [3, 1], [5, 3]], 88249/39813120000], [[[1, 6], [2, 5], [3, 1], [6, 6]], 294406637/6018367802572800], [[[1, 6], [2, 5], [3, 1], [7, 2]], 5/2408448], [[[1, 6], [2, 5], [3, 1], [8, 3]], 44561/20384317440], [[[1, 6], [2, 5], [3, 1], [9, 2]], 59/71663616], [[[1, 6], [2, 5], [3, 1], [10, 3]], 15247/447897600000], [[[1, 6], [2, 5], [3, 1], [12, 3]], 49/4586471424], [[[1, 6], [2, 5], [3, 1], [14, 2]], 1459/975421440], [[[1, 6], [2, 5], [3, 1], [18, 2]], 9163/14511882240], [[[1, 6], [2, 5], [3, 2], [4, 5]], 121271/407686348800], [[[1, 6], [2, 5], [3, 2], [6, 5]], 100016941/178322008965120], [[[1, 6], [2, 5], [3, 3], [4, 4]], 7517803/39627113103360], [[[1, 6], [2, 5], [3, 3], [5, 2]], 881929/515978035200], [[[1, 6], [2, 5], [3, 3], [6, 4]], 317787763/133741506723840], [[[1, 6], [2, 5], [3, 3], [8, 2]], 244009/165112971264], [[[1, 6], [2, 5], [3, 3], [10, 2]], 19657/515978035200], [[[1, 6], [2, 5], [3, 3], [12, 2]], 112591/247669456896], [[[1, 6], [2, 5], [3, 3], [15, 1]], 5833/25798901760], [[[1, 6], [2, 5], [3, 3], [20, 1]], 5833/17199267840], [[[1, 6], [2, 5], [3, 3], [24, 1]], 5833/20639121408], [[[1, 6], [2, 5], [3, 3], [30, 1]], 5833/25798901760], [[[1, 6], [2, 5], [3, 4], [4, 3]], 23410327/264180754022400], [[[1, 6], [2, 5], [3, 4], [6, 3]], 660599699/297203348275200], [[[1, 6], [2, 5], [3, 4], [7, 1]], 379889/963158999040], [[[1, 6], [2, 5], [3, 4], [9, 1]], 228883/619173642240], [[[1, 6], [2, 5], [3, 4], [14, 1]], 4830391/9631589990400], [[[1, 6], [2, 5], [3, 4], [18, 1]], 374003/1375941427200], [[[1, 6], [2, 5], [3, 5], [4, 2]], 83727007/1783220089651200], [[[1, 6], [2, 5], [3, 5], [5, 1]], 710483/3439853568000], [[[1, 6], [2, 5], [3, 5], [6, 2]], 1376152229/2006122600857600], [[[1, 6], [2, 5], [3, 5], [8, 1]], 3049201/16511297126400], [[[1, 6], [2, 5], [3, 5], [10, 1]], 2847247/116095057920000], [[[1, 6], [2, 5], [3, 5], [12, 1]], 56851/275188285440], [[[1, 6], [2, 5], [3, 6], [4, 1]], 726737/37150418534400], [[[1, 6], [2, 5], [3, 6], [6, 1]], 8828849/106993205379072], [[[1, 6], [2, 5], [4, 1], [5, 3]], 631277/265420800000], [[[1, 6], [2, 5], [4, 1], [6, 6]], 359971/37150418534400], [[[1, 6], [2, 5], [4, 1], [7, 2]], 271/48168960], [[[1, 6], [2, 5], [4, 1], [8, 3]], 655793/54358179840], [[[1, 6], [2, 5], [4, 1], [9, 2]], 1271/716636160], [[[1, 6], [2, 5], [4, 1], [10, 3]], 277957/265420800000], [[[1, 6], [2, 5], [4, 1], [12, 3]], 343/9172942848], [[[1, 6], [2, 5], [4, 1], [14, 2]], 379/144506880], [[[1, 6], [2, 5], [4, 1], [18, 2]], 877/716636160], [[[1, 6], [2, 5], [4, 1], [28, 1]], 7/3538944], [[[1, 6], [2, 5], [4, 1], [36, 1]], 49/31850496], [[[1, 6], [2, 5], [4, 2], [6, 5]], 2388353/99067782758400], [[[1, 6], [2, 5], [4, 3], [5, 2]], 713131/203843174400], [[[1, 6], [2, 5], [4, 3], [6, 4]], 9179287/264180754022400], [[[1, 6], [2, 5], [4, 3], [8, 2]], 5136571/65229815808], [[[1, 6], [2, 5], [4, 3], [10, 2]], 2562263/1019215872000], [[[1, 6], [2, 5], [4, 3], [12, 2]], 4354967/489223618560], [[[1, 6], [2, 5], [4, 3], [15, 1]], 67607/50960793600], [[[1, 6], [2, 5], [4, 3], [16, 1]], 9337/339738624], [[[1, 6], [2, 5], [4, 3], [20, 1]], 659287/33973862400], [[[1, 6], [2, 5], [4, 3], [24, 1]], 67607/40768634880], [[[1, 6], [2, 5], [4, 3], [30, 1]], 67607/50960793600], [[[1, 6], [2, 5], [4, 4], [6, 3]], 6699179/88060251340800], [[[1, 6], [2, 5], [4, 4], [7, 1]], 197317/40768634880], [[[1, 6], [2, 5], [4, 4], [9, 1]], 1381219/550376570880], [[[1, 6], [2, 5], [4, 4], [14, 1]], 1046483/407686348800], [[[1, 6], [2, 5], [4, 4], [18, 1]], 782873/407686348800], [[[1, 6], [2, 5], [4, 5], [5, 1]], 42933527/20384317440000], [[[1, 6], [2, 5], [4, 5], [6, 2]], 58733/407686348800], [[[1, 6], [2, 5], [4, 5], [8, 1]], 78891761/4348654387200], [[[1, 6], [2, 5], [4, 5], [10, 1]], 39648607/20384317440000], [[[1, 6], [2, 5], [4, 5], [12, 1]], 4258303/489223618560], [[[1, 6], [2, 5], [4, 6], [6, 1]], 7438043/29353417113600], [[[1, 6], [2, 5], [5, 1], [6, 5]], 263509/12899450880000], [[[1, 6], [2, 5], [5, 2], [6, 3]], 57977/1146617856000], [[[1, 6], [2, 5], [5, 2], [7, 1]], 17329/3715891200], [[[1, 6], [2, 5], [5, 2], [9, 1]], 4157/1433272320], [[[1, 6], [2, 5], [5, 2], [14, 1]], 220343/37158912000], [[[1, 6], [2, 5], [5, 2], [18, 1]], 5713/1769472000], [[[1, 6], [2, 5], [5, 3], [6, 1]], 1909/49766400000], [[[1, 6], [2, 5], [6, 1], [7, 2]], 31/12042240], [[[1, 6], [2, 5], [6, 1], [8, 3]], 8789/4076863488], [[[1, 6], [2, 5], [6, 1], [9, 2]], 1159/1612431360], [[[1, 6], [2, 5], [6, 1], [10, 3]], 53791/79626240000], [[[1, 6], [2, 5], [6, 1], [12, 3]], 89/10192158720], [[[1, 6], [2, 5], [6, 1], [14, 2]], 5/7225344], [[[1, 6], [2, 5], [6, 1], [18, 2]], 1907/4299816960], [[[1, 6], [2, 5], [6, 3], [8, 2]], 13387/13589544960], [[[1, 6], [2, 5], [6, 3], [10, 2]], 611449/1146617856000], [[[1, 6], [2, 5], [6, 3], [12, 2]], 25907/110075314176], [[[1, 6], [2, 5], [6, 3], [15, 1]], 6649/57330892800], [[[1, 6], [2, 5], [6, 3], [20, 1]], 6649/38220595200], [[[1, 6], [2, 5], [6, 3], [24, 1]], 6649/45864714240], [[[1, 6], [2, 5], [6, 3], [30, 1]], 6649/57330892800], [[[1, 6], [2, 5], [6, 4], [7, 1]], 379889/963158999040], [[[1, 6], [2, 5], [6, 4], [9, 1]], 306449/1857520926720], [[[1, 6], [2, 5], [6, 4], [14, 1]], 1174711/9631589990400], [[[1, 6], [2, 5], [6, 4], [18, 1]], 1966147/12383472844800], [[[1, 6], [2, 5], [6, 5], [8, 1]], 10351/122305904640], [[[1, 6], [2, 5], [6, 5], [10, 1]], 449717/6879707136000], [[[1, 6], [2, 5], [6, 5], [12, 1]], 1367737/16511297126400], [[[1, 6], [2, 5], [7, 1], [8, 2]], 8401/1189085184], [[[1, 6], [2, 5], [7, 1], [10, 2]], 17329/3715891200], [[[1, 6], [2, 5], [7, 1], [12, 2]], 7/254803968], [[[1, 6], [2, 5], [7, 1], [15, 1]], 7/26542080], [[[1, 6], [2, 5], [7, 1], [20, 1]], 7/17694720], [[[1, 6], [2, 5], [7, 1], [24, 1]], 7/21233664], [[[1, 6], [2, 5], [7, 1], [30, 1]], 7/26542080], [[[1, 6], [2, 5], [8, 2], [9, 1]], 8401/2293235712], [[[1, 6], [2, 5], [8, 2], [14, 1]], 51431/11890851840], [[[1, 6], [2, 5], [8, 2], [18, 1]], 15049/5096079360], [[[1, 6], [2, 5], [9, 1], [10, 2]], 13873/7166361600], [[[1, 6], [2, 5], [9, 1], [12, 2]], 49/3439853568], [[[1, 6], [2, 5], [9, 1], [15, 1]], 49/358318080], [[[1, 6], [2, 5], [9, 1], [20, 1]], 49/238878720], [[[1, 6], [2, 5], [9, 1], [24, 1]], 49/286654464], [[[1, 6], [2, 5], [9, 1], [30, 1]], 49/358318080], [[[1, 6], [2, 5], [10, 2], [14, 1]], 52151/37158912000], [[[1, 6], [2, 5], [10, 2], [18, 1]], 17369/15925248000], [[[1, 6], [2, 5], [12, 2], [14, 1]], 311/17836277760], [[[1, 6], [2, 5], [12, 2], [18, 1]], 89/7644119040], [[[1, 6], [2, 5], [14, 1], [15, 1]], 311/1857945600], [[[1, 6], [2, 5], [14, 1], [20, 1]], 311/1238630400], [[[1, 6], [2, 5], [14, 1], [24, 1]], 311/1486356480], [[[1, 6], [2, 5], [14, 1], [30, 1]], 311/1857945600], [[[1, 6], [2, 5], [15, 1], [18, 1]], 89/796262400], [[[1, 6], [2, 5], [18, 1], [20, 1]], 89/530841600], [[[1, 6], [2, 5], [18, 1], [24, 1]], 89/637009920], [[[1, 6], [2, 5], [18, 1], [30, 1]], 89/796262400], [[[1, 6], [2, 7], [3, 1], [4, 5]], 263105519/293534171136000], [[[1, 6], [2, 7], [3, 1], [6, 5]], 18853824911/60183678025728000], [[[1, 6], [2, 7], [3, 2], [4, 4]], 3819320221/5547795834470400], [[[1, 6], [2, 7], [3, 2], [5, 2]], 3952969/10319560704000], [[[1, 6], [2, 7], [3, 2], [6, 4]], 50900598671/18723810941337600], [[[1, 6], [2, 7], [3, 2], [8, 2]], 18610771/23115815976960], [[[1, 6], [2, 7], [3, 2], [10, 2]], 36238423/72236924928000], [[[1, 6], [2, 7], [3, 2], [12, 2]], 1153669/34673723965440], [[[1, 6], [2, 7], [3, 2], [15, 1]], 168151/3611846246400], [[[1, 6], [2, 7], [3, 2], [20, 1]], 168151/2407897497600], [[[1, 6], [2, 7], [3, 2], [24, 1]], 168151/2889476997120], [[[1, 6], [2, 7], [3, 2], [30, 1]], 168151/3611846246400], [[[1, 6], [2, 7], [3, 3], [4, 3]], 6013339/13209037701120], [[[1, 6], [2, 7], [3, 3], [6, 3]], 1811966717/222902511206400], [[[1, 6], [2, 7], [3, 3], [7, 1]], 1351669/10113169489920], [[[1, 6], [2, 7], [3, 3], [9, 1]], 696271/5572562780160], [[[1, 6], [2, 7], [3, 3], [14, 1]], 176501/481579499520], [[[1, 6], [2, 7], [3, 3], [18, 1]], 296183/1857520926720], [[[1, 6], [2, 7], [3, 4], [4, 2]], 71739532541/332867750068224000], [[[1, 6], [2, 7], [3, 4], [5, 1]], 181937353/1733686198272000], [[[1, 6], [2, 7], [3, 4], [6, 2]], 12174385003/6241270313779200], [[[1, 6], [2, 7], [3, 4], [8, 1]], 19208341/132090377011200], [[[1, 6], [2, 7], [3, 4], [10, 1]], 46010671/412782428160000], [[[1, 6], [2, 7], [3, 4], [12, 1]], 1646887/20804234379264], [[[1, 6], [2, 7], [3, 5], [4, 1]], 17607823/330225942528000], [[[1, 6], [2, 7], [3, 5], [6, 1]], 10221168911/60183678025728000], [[[1, 6], [2, 7], [4, 1], [6, 5]], 345071669/2972033482752000], [[[1, 6], [2, 7], [4, 2], [5, 2]], 1861099453/1284211998720000], [[[1, 6], [2, 7], [4, 2], [6, 4]], 134296554941/332867750068224000], [[[1, 6], [2, 7], [4, 2], [8, 2]], 6029958961/410947839590400], [[[1, 6], [2, 7], [4, 2], [10, 2]], 3024734653/1284211998720000], [[[1, 6], [2, 7], [4, 2], [12, 2]], 199750141/616421759385600], [[[1, 6], [2, 7], [4, 2], [15, 1]], 21938941/64210599936000], [[[1, 6], [2, 7], [4, 2], [16, 1]], 83/18874368], [[[1, 6], [2, 7], [4, 2], [20, 1]], 51574141/42807066624000], [[[1, 6], [2, 7], [4, 2], [24, 1]], 21938941/51368479948800], [[[1, 6], [2, 7], [4, 2], [30, 1]], 21938941/64210599936000], [[[1, 6], [2, 7], [4, 3], [6, 3]], 2523431/3302259425280], [[[1, 6], [2, 7], [4, 3], [7, 1]], 773/452984832], [[[1, 6], [2, 7], [4, 3], [9, 1]], 216379/183458856960], [[[1, 6], [2, 7], [4, 3], [14, 1]], 67607/23781703680], [[[1, 6], [2, 7], [4, 3], [18, 1]], 67607/45864714240], [[[1, 6], [2, 7], [4, 4], [5, 1]], 963976067/513684799488000], [[[1, 6], [2, 7], [4, 4], [6, 2]], 10414037/9784472371200], [[[1, 6], [2, 7], [4, 4], [8, 1]], 527864891/39137889484800], [[[1, 6], [2, 7], [4, 4], [10, 1]], 294764261/122305904640000], [[[1, 6], [2, 7], [4, 4], [12, 1]], 700399801/154105439846400], [[[1, 6], [2, 7], [4, 5], [6, 1]], 348300073/293534171136000], [[[1, 6], [2, 7], [5, 1], [6, 4]], 261859897/1733686198272000], [[[1, 6], [2, 7], [5, 1], [8, 2]], 3045257/2140353331200], [[[1, 6], [2, 7], [5, 1], [10, 2]], 40975289/6688604160000], [[[1, 6], [2, 7], [5, 1], [12, 2]], 18233/3210529996800], [[[1, 6], [2, 7], [5, 1], [15, 1]], 18233/334430208000], [[[1, 6], [2, 7], [5, 1], [20, 1]], 18233/222953472000], [[[1, 6], [2, 7], [5, 1], [24, 1]], 18233/267544166400], [[[1, 6], [2, 7], [5, 1], [30, 1]], 18233/334430208000], [[[1, 6], [2, 7], [5, 2], [6, 2]], 1789/4718592000], [[[1, 6], [2, 7], [5, 2], [8, 1]], 433781/509607936000], [[[1, 6], [2, 7], [5, 2], [10, 1]], 6239663/1592524800000], [[[1, 6], [2, 7], [6, 2], [8, 2]], 27269/24461180928], [[[1, 6], [2, 7], [6, 2], [10, 2]], 408869/382205952000], [[[1, 6], [2, 7], [6, 2], [12, 2]], 8903/183458856960], [[[1, 6], [2, 7], [6, 2], [15, 1]], 1421/19110297600], [[[1, 6], [2, 7], [6, 2], [20, 1]], 1421/12740198400], [[[1, 6], [2, 7], [6, 2], [24, 1]], 1421/15288238080], [[[1, 6], [2, 7], [6, 2], [30, 1]], 1421/19110297600], [[[1, 6], [2, 7], [6, 3], [7, 1]], 204559/481579499520], [[[1, 6], [2, 7], [6, 3], [9, 1]], 437879/1857520926720], [[[1, 6], [2, 7], [6, 3], [14, 1]], 176501/481579499520], [[[1, 6], [2, 7], [6, 3], [18, 1]], 32437/123834728448], [[[1, 6], [2, 7], [6, 4], [8, 1]], 12610087/44030125670400], [[[1, 6], [2, 7], [6, 4], [10, 1]], 1503311/5096079360000], [[[1, 6], [2, 7], [6, 4], [12, 1]], 286003/1651129712640], [[[1, 6], [2, 7], [7, 1], [9, 1]], 21109/140460687360], [[[1, 6], [2, 7], [7, 1], [14, 1]], 4231/1734082560], [[[1, 6], [2, 7], [7, 1], [18, 1]], 1423/6688604160], [[[1, 6], [2, 7], [8, 1], [10, 2]], 878453/509607936000], [[[1, 6], [2, 7], [8, 1], [12, 2]], 1781/244611809280], [[[1, 6], [2, 7], [8, 1], [15, 1]], 1781/25480396800], [[[1, 6], [2, 7], [8, 1], [16, 1]], 49/113246208], [[[1, 6], [2, 7], [8, 1], [20, 1]], 1781/16986931200], [[[1, 6], [2, 7], [8, 1], [24, 1]], 1781/20384317440], [[[1, 6], [2, 7], [8, 1], [30, 1]], 1781/25480396800], [[[1, 6], [2, 7], [8, 2], [10, 1]], 1059551/509607936000], [[[1, 6], [2, 7], [9, 1], [14, 1]], 1781/6688604160], [[[1, 6], [2, 7], [9, 1], [18, 1]], 16613/25798901760], [[[1, 6], [2, 7], [10, 1], [12, 2]], 6191/764411904000], [[[1, 6], [2, 7], [10, 1], [15, 1]], 6191/79626240000], [[[1, 6], [2, 7], [10, 1], [20, 1]], 6191/53084160000], [[[1, 6], [2, 7], [10, 1], [24, 1]], 6191/63700992000], [[[1, 6], [2, 7], [10, 1], [30, 1]], 6191/79626240000], [[[1, 6], [2, 7], [14, 1], [18, 1]], 1781/6688604160], [[[1, 6], [2, 9], [3, 1], [4, 4]], 500036256301/2853152143441920000], [[[1, 6], [2, 9], [3, 1], [5, 2]], 3372923251/260052929740800000], [[[1, 6], [2, 9], [3, 1], [6, 4]], 14969078037107/67405719388815360000], [[[1, 6], [2, 9], [3, 1], [8, 2]], 5842141507/83216937517056000], [[[1, 6], [2, 9], [3, 1], [10, 2]], 6164643253/37150418534400000], [[[1, 6], [2, 9], [3, 1], [12, 2]], 4350901/17832200896512000], [[[1, 6], [2, 9], [3, 1], [15, 1]], 4350901/1857520926720000], [[[1, 6], [2, 9], [3, 1], [20, 1]], 4350901/1238347284480000], [[[1, 6], [2, 9], [3, 1], [24, 1]], 4350901/1486016741376000], [[[1, 6], [2, 9], [3, 1], [30, 1]], 4350901/1857520926720000], [[[1, 6], [2, 9], [3, 2], [4, 3]], 440314969/2773897917235200], [[[1, 6], [2, 9], [3, 2], [6, 3]], 28600912961/37447621882675200], [[[1, 6], [2, 9], [3, 2], [7, 1]], 115621/12641461862400], [[[1, 6], [2, 9], [3, 2], [9, 1]], 190383307/23404763676672000], [[[1, 6], [2, 9], [3, 2], [14, 1]], 5914771/101131694899200], [[[1, 6], [2, 9], [3, 2], [18, 1]], 2551751/130026464870400], [[[1, 6], [2, 9], [3, 3], [4, 2]], 1874480261/24965081255116800], [[[1, 6], [2, 9], [3, 3], [5, 1]], 49185127/6501323243520000], [[[1, 6], [2, 9], [3, 3], [6, 2]], 285801072787/748952437653504000], [[[1, 6], [2, 9], [3, 3], [8, 1]], 432565/23776267862016], [[[1, 6], [2, 9], [3, 3], [10, 1]], 548053/14447384985600], [[[1, 6], [2, 9], [3, 3], [12, 1]], 670164307/124825406275584000], [[[1, 6], [2, 9], [3, 4], [4, 1]], 45970898471/3328677500682240000], [[[1, 6], [2, 9], [3, 4], [6, 1]], 4721482207/124825406275584000], [[[1, 6], [2, 9], [4, 1], [5, 2]], 862603303/12842119987200000], [[[1, 6], [2, 9], [4, 1], [6, 4]], 438190240871/3328677500682240000], [[[1, 6], [2, 9], [4, 1], [8, 2]], 1470938731/4109478395904000], [[[1, 6], [2, 9], [4, 1], [10, 2]], 6399922663/12842119987200000], [[[1, 6], [2, 9], [4, 1], [12, 2]], 5952871/6164217593856000], [[[1, 6], [2, 9], [4, 1], [15, 1]], 5952871/642105999360000], [[[1, 6], [2, 9], [4, 1], [16, 1]], 11/283115520], [[[1, 6], [2, 9], [4, 1], [20, 1]], 5952871/428070666240000], [[[1, 6], [2, 9], [4, 1], [24, 1]], 5952871/513684799488000], [[[1, 6], [2, 9], [4, 1], [30, 1]], 5952871/642105999360000], [[[1, 6], [2, 9], [4, 2], [6, 3]], 4814738671/13314710002728960], [[[1, 6], [2, 9], [4, 2], [7, 1]], 54933997/359579359641600], [[[1, 6], [2, 9], [4, 2], [9, 1]], 37023257/346737239654400], [[[1, 6], [2, 9], [4, 2], [14, 1]], 356426323/719158719283200], [[[1, 6], [2, 9], [4, 2], [18, 1]], 36182959/184926527815680], [[[1, 6], [2, 9], [4, 3], [5, 1]], 338763973/1712282664960000], [[[1, 6], [2, 9], [4, 3], [6, 2]], 33084839/66045188505600], [[[1, 6], [2, 9], [4, 3], [8, 1]], 104941927/93930934763520], [[[1, 6], [2, 9], [4, 3], [10, 1]], 81495817/146767085568000], [[[1, 6], [2, 9], [4, 3], [12, 1]], 709944097/3082108796928000], [[[1, 6], [2, 9], [4, 4], [6, 1]], 4729555889/12328435187712000], [[[1, 6], [2, 9], [5, 1], [6, 3]], 344993351/4334215495680000], [[[1, 6], [2, 9], [5, 1], [7, 1]], 60211/3901685760000], [[[1, 6], [2, 9], [5, 1], [9, 1]], 1024087/90296156160000], [[[1, 6], [2, 9], [5, 1], [14, 1]], 3397771/46820229120000], [[[1, 6], [2, 9], [5, 1], [18, 1]], 1574471/60197437440000], [[[1, 6], [2, 9], [5, 2], [6, 1]], 7218317/160526499840000], [[[1, 6], [2, 9], [6, 1], [8, 2]], 7809889/51368479948800], [[[1, 6], [2, 9], [6, 1], [10, 2]], 14944879/53508833280000], [[[1, 6], [2, 9], [6, 1], [12, 2]], 14383/25684239974400], [[[1, 6], [2, 9], [6, 1], [15, 1]], 14383/2675441664000], [[[1, 6], [2, 9], [6, 1], [20, 1]], 14383/1783627776000], [[[1, 6], [2, 9], [6, 1], [24, 1]], 14383/2140353331200], [[[1, 6], [2, 9], [6, 1], [30, 1]], 14383/2675441664000], [[[1, 6], [2, 9], [6, 2], [7, 1]], 5771/84276412416], [[[1, 6], [2, 9], [6, 2], [9, 1]], 290441/6501323243520], [[[1, 6], [2, 9], [6, 2], [14, 1]], 6337/48157949952], [[[1, 6], [2, 9], [6, 2], [18, 1]], 2774887/43342154956800], [[[1, 6], [2, 9], [6, 3], [8, 1]], 613157/4623163195392], [[[1, 6], [2, 9], [6, 3], [10, 1]], 1906163/10319560704000], [[[1, 6], [2, 9], [6, 3], [12, 1]], 10711207/231158159769600], [[[1, 6], [2, 9], [7, 1], [8, 1]], 472831/14982473318400], [[[1, 6], [2, 9], [7, 1], [10, 1]], 1639/26011238400], [[[1, 6], [2, 9], [8, 1], [9, 1]], 1288291/57789539942400], [[[1, 6], [2, 9], [8, 1], [14, 1]], 3187/31213486080], [[[1, 6], [2, 9], [8, 1], [18, 1]], 4343/107017666560], [[[1, 6], [2, 9], [9, 1], [10, 1]], 8437/200658124800], [[[1, 6], [2, 9], [10, 1], [14, 1]], 823/6193152000], [[[1, 6], [2, 9], [10, 1], [18, 1]], 8623/143327232000], [[[1, 6], [2, 11], [3, 1], [4, 3]], 396209521/24656870375424000], [[[1, 6], [2, 11], [3, 1], [6, 3]], 19022059841/674057193888153600], [[[1, 6], [2, 11], [3, 1], [7, 1]], 118081/337105649664000], [[[1, 6], [2, 11], [3, 1], [9, 1]], 189713/660451885056000], [[[1, 6], [2, 11], [3, 1], [14, 1]], 34466113/12135803387904000], [[[1, 6], [2, 11], [3, 1], [18, 1]], 1699429/1872381094133760], [[[1, 6], [2, 11], [3, 2], [4, 2]], 174767891/22191183337881600], [[[1, 6], [2, 11], [3, 2], [5, 1]], 163/458647142400], [[[1, 6], [2, 11], [3, 2], [6, 2]], 14611250923/570630428688384000], [[[1, 6], [2, 11], [3, 2], [8, 1]], 1833773/1733686198272000], [[[1, 6], [2, 11], [3, 2], [10, 1]], 2913569/866843099136000], [[[1, 6], [2, 11], [3, 2], [12, 1]], 4963703/24656870375424000], [[[1, 6], [2, 11], [3, 3], [4, 1]], 574834849/499301625102336000], [[[1, 6], [2, 11], [3, 3], [6, 1]], 214529041/74895243765350400], [[[1, 6], [2, 11], [4, 1], [6, 3]], 576341243/20804234379264000], [[[1, 6], [2, 11], [4, 1], [7, 1]], 4087903/1797896798208000], [[[1, 6], [2, 11], [4, 1], [9, 1]], 11500129/6934744793088000], [[[1, 6], [2, 11], [4, 1], [14, 1]], 3594121/299649466368000], [[[1, 6], [2, 11], [4, 1], [18, 1]], 1207373/288947699712000], [[[1, 6], [2, 11], [4, 2], [5, 1]], 102459677/10273695989760000], [[[1, 6], [2, 11], [4, 2], [6, 2]], 1164006131/22191183337881600], [[[1, 6], [2, 11], [4, 2], [8, 1]], 1447103213/49313740750848000], [[[1, 6], [2, 11], [4, 2], [10, 1]], 1489965403/30821087969280000], [[[1, 6], [2, 11], [4, 2], [12, 1]], 16188539/6164217593856000], [[[1, 6], [2, 11], [4, 3], [6, 1]], 2917075601/73970611126272000], [[[1, 6], [2, 11], [5, 1], [6, 2]], 9296081/1444738498560000], [[[1, 6], [2, 11], [5, 1], [8, 1]], 15983/10032906240000], [[[1, 6], [2, 11], [5, 1], [10, 1]], 503953/80263249920000], [[[1, 6], [2, 11], [6, 1], [7, 1]], 242429/134842259865600], [[[1, 6], [2, 11], [6, 1], [9, 1]], 33287/26005292974080], [[[1, 6], [2, 11], [6, 1], [14, 1]], 79067/10787380789248], [[[1, 6], [2, 11], [6, 1], [18, 1]], 37992221/13869489586176000], [[[1, 6], [2, 11], [6, 2], [8, 1]], 155951/12842119987200], [[[1, 6], [2, 11], [6, 2], [10, 1]], 4466977/192631799808000], [[[1, 6], [2, 11], [6, 2], [12, 1]], 150924101/73970611126272000], [[[1, 6], [2, 11], [8, 1], [10, 1]], 5083/528482304000], [[[1, 6], [2, 13], [3, 1], [4, 2]], 2729529217/7988826001637376000], [[[1, 6], [2, 13], [3, 1], [5, 1]], 67207/6604518850560000], [[[1, 6], [2, 13], [3, 1], [6, 2]], 18709459403/26962287755526144000], [[[1, 6], [2, 13], [3, 1], [8, 1]], 2695541/73970611126272000], [[[1, 6], [2, 13], [3, 1], [10, 1]], 74171017/520105859481600000], [[[1, 6], [2, 13], [3, 1], [12, 1]], 41143/11095591668940800], [[[1, 6], [2, 13], [3, 2], [4, 1]], 464407/7925422620672000], [[[1, 6], [2, 13], [3, 2], [6, 1]], 306829357/2396647800491212800], [[[1, 6], [2, 13], [4, 1], [5, 1]], 3573431/44030125670400000], [[[1, 6], [2, 13], [4, 1], [6, 2]], 6259793/4755253572403200], [[[1, 6], [2, 13], [4, 1], [8, 1]], 17824171/65751654334464000], [[[1, 6], [2, 13], [4, 1], [10, 1]], 34846471/44030125670400000], [[[1, 6], [2, 13], [4, 1], [12, 1]], 7651/1056723016089600], [[[1, 6], [2, 13], [4, 2], [6, 1]], 1951677971/1331471000272896000], [[[1, 6], [2, 13], [5, 1], [6, 1]], 14568217/173368619827200000], [[[1, 6], [2, 13], [6, 1], [8, 1]], 1081019/4931374075084800], [[[1, 6], [2, 13], [6, 1], [10, 1]], 889441/1467670855680000], [[[1, 6], [2, 13], [6, 1], [12, 1]], 964307/73970611126272000], [[[1, 6], [2, 15], [3, 1], [4, 1]], 56541383/31067656673034240000], [[[1, 6], [2, 15], [3, 1], [6, 1]], 6354032207/1887360142886830080000], [[[1, 6], [2, 15], [4, 1], [6, 1]], 1332093563/93202970019102720000], [[[1, 7], [2, 2], [3, 1], [4, 7]], 809729/924632639078400], [[[1, 7], [2, 2], [3, 1], [6, 7]], 517/752295975321600], [[[1, 7], [2, 2], [3, 2], [4, 6]], 102091/7338354278400], [[[1, 7], [2, 2], [3, 2], [5, 3]], 63151/22394880000], [[[1, 7], [2, 2], [3, 2], [6, 6]], 1951769/693474479308800], [[[1, 7], [2, 2], [3, 2], [7, 2]], 5/1354752], [[[1, 7], [2, 2], [3, 2], [8, 3]], 29/716636160], [[[1, 7], [2, 2], [3, 2], [9, 2]], 29851/45148078080], [[[1, 7], [2, 2], [3, 2], [10, 3]], 1/248832000], [[[1, 7], [2, 2], [3, 2], [12, 3]], 31201/1926317998080], [[[1, 7], [2, 2], [3, 2], [14, 2]], 1/8128512], [[[1, 7], [2, 2], [3, 2], [18, 2]], 1/13436928], [[[1, 7], [2, 2], [3, 3], [4, 5]], 20773/1375941427200], [[[1, 7], [2, 2], [3, 3], [6, 5]], 2226007/83588441702400], [[[1, 7], [2, 2], [3, 4], [4, 4]], 204530927/33286775006822400], [[[1, 7], [2, 2], [3, 4], [5, 2]], 15125717/17336861982720], [[[1, 7], [2, 2], [3, 4], [6, 4]], 696753163/22468573129605120], [[[1, 7], [2, 2], [3, 4], [8, 2]], 8127797/138694895861760], [[[1, 7], [2, 2], [3, 4], [10, 2]], 367273/86684309913600], [[[1, 7], [2, 2], [3, 4], [12, 2]], 69069443/208042343792640], [[[1, 7], [2, 2], [3, 4], [15, 1]], 367273/4334215495680], [[[1, 7], [2, 2], [3, 4], [20, 1]], 367273/2889476997120], [[[1, 7], [2, 2], [3, 4], [24, 1]], 367273/3467372396544], [[[1, 7], [2, 2], [3, 4], [30, 1]], 367273/4334215495680], [[[1, 7], [2, 2], [3, 5], [4, 3]], 569633/148601674137600], [[[1, 7], [2, 2], [3, 5], [6, 3]], 26219287/752295975321600], [[[1, 7], [2, 2], [3, 5], [7, 1]], 110743/2708884684800], [[[1, 7], [2, 2], [3, 5], [9, 1]], 449867/7223692492800], [[[1, 7], [2, 2], [3, 5], [14, 1]], 13219/1354442342400], [[[1, 7], [2, 2], [3, 5], [18, 1]], 4657/653034700800], [[[1, 7], [2, 2], [3, 6], [4, 2]], 41501/24766945689600], [[[1, 7], [2, 2], [3, 6], [5, 1]], 37781/1934917632000], [[[1, 7], [2, 2], [3, 6], [6, 2]], 5682084641/6241270313779200], [[[1, 7], [2, 2], [3, 6], [8, 1]], 4147/773967052800], [[[1, 7], [2, 2], [3, 6], [10, 1]], 13/193491763200], [[[1, 7], [2, 2], [3, 6], [12, 1]], 7013387/346737239654400], [[[1, 7], [2, 2], [3, 7], [4, 1]], 391/1547934105600], [[[1, 7], [2, 2], [3, 7], [6, 1]], 650297/21671077478400], [[[1, 7], [2, 2], [4, 1], [6, 7]], 1/12383472844800], [[[1, 7], [2, 2], [4, 2], [5, 3]], 3811/26542080000], [[[1, 7], [2, 2], [4, 2], [6, 6]], 37/4953389137920], [[[1, 7], [2, 2], [4, 2], [7, 2]], 67/19267584], [[[1, 7], [2, 2], [4, 2], [8, 3]], 15521/13589544960], [[[1, 7], [2, 2], [4, 2], [9, 2]], 29/95551488], [[[1, 7], [2, 2], [4, 2], [10, 3]], 17/8847360000], [[[1, 7], [2, 2], [4, 2], [12, 3]], 2333/206391214080], [[[1, 7], [2, 2], [4, 2], [14, 2]], 1/57802752], [[[1, 7], [2, 2], [4, 2], [18, 2]], 1/95551488], [[[1, 7], [2, 2], [4, 2], [28, 1]], 821/1300561920], [[[1, 7], [2, 2], [4, 2], [36, 1]], 2333/5016453120], [[[1, 7], [2, 2], [4, 3], [6, 5]], 19/3302259425280], [[[1, 7], [2, 2], [4, 4], [5, 2]], 597923/25684239974400], [[[1, 7], [2, 2], [4, 4], [6, 4]], 3463/1331471000272896], [[[1, 7], [2, 2], [4, 4], [8, 2]], 24204583/41094783959040], [[[1, 7], [2, 2], [4, 4], [10, 2]], 235043/25684239974400], [[[1, 7], [2, 2], [4, 4], [12, 2]], 7974703/61642175938560], [[[1, 7], [2, 2], [4, 4], [15, 1]], 3463/256842399744], [[[1, 7], [2, 2], [4, 4], [16, 1]], 1/3932160], [[[1, 7], [2, 2], [4, 4], [20, 1]], 39941/122305904640], [[[1, 7], [2, 2], [4, 4], [24, 1]], 17315/1027369598976], [[[1, 7], [2, 2], [4, 4], [30, 1]], 3463/256842399744], [[[1, 7], [2, 2], [4, 5], [6, 3]], 17/1223059046400], [[[1, 7], [2, 2], [4, 5], [7, 1]], 361/19818086400], [[[1, 7], [2, 2], [4, 5], [9, 1]], 103/19110297600], [[[1, 7], [2, 2], [4, 5], [14, 1]], 17/13212057600], [[[1, 7], [2, 2], [4, 5], [18, 1]], 17/16986931200], [[[1, 7], [2, 2], [4, 6], [5, 1]], 5179/2038431744000], [[[1, 7], [2, 2], [4, 6], [6, 2]], 1/54358179840], [[[1, 7], [2, 2], [4, 6], [8, 1]], 82409/3261490790400], [[[1, 7], [2, 2], [4, 6], [10, 1]], 617/679477248000], [[[1, 7], [2, 2], [4, 6], [12, 1]], 192149/9246326390784], [[[1, 7], [2, 2], [4, 7], [6, 1]], 19/978447237120], [[[1, 7], [2, 2], [5, 1], [6, 6]], 13/322486272000], [[[1, 7], [2, 2], [5, 1], [7, 2]], 1/78400], [[[1, 7], [2, 2], [5, 1], [8, 3]], 17/176947200], [[[1, 7], [2, 2], [5, 1], [9, 2]], 1/559872], [[[1, 7], [2, 2], [5, 1], [10, 3]], 1/115200000], [[[1, 7], [2, 2], [5, 1], [14, 2]], 1/3763200], [[[1, 7], [2, 2], [5, 1], [18, 2]], 1/6220800], [[[1, 7], [2, 2], [5, 2], [6, 4]], 72589/433421549568000], [[[1, 7], [2, 2], [5, 2], [8, 2]], 74101/535088332800], [[[1, 7], [2, 2], [5, 2], [10, 2]], 10927/238878720000], [[[1, 7], [2, 2], [5, 2], [12, 2]], 72589/802632499200], [[[1, 7], [2, 2], [5, 2], [15, 1]], 72589/83607552000], [[[1, 7], [2, 2], [5, 2], [20, 1]], 72589/55738368000], [[[1, 7], [2, 2], [5, 2], [24, 1]], 72589/66886041600], [[[1, 7], [2, 2], [5, 2], [30, 1]], 72589/83607552000], [[[1, 7], [2, 2], [5, 3], [6, 2]], 1/414720000], [[[1, 7], [2, 2], [5, 3], [8, 1]], 17/552960000], [[[1, 7], [2, 2], [5, 3], [10, 1]], 1/115200000], [[[1, 7], [2, 2], [6, 2], [7, 2]], 1/903168], [[[1, 7], [2, 2], [6, 2], [9, 2]], 1/13436928], [[[1, 7], [2, 2], [6, 2], [12, 3]], 13/385263599616], [[[1, 7], [2, 2], [6, 2], [18, 2]], 13/27088846848], [[[1, 7], [2, 2], [6, 4], [8, 2]], 305/27738979172352], [[[1, 7], [2, 2], [6, 4], [10, 2]], 13/433421549568000], [[[1, 7], [2, 2], [6, 4], [12, 2]], 3523/208042343792640], [[[1, 7], [2, 2], [6, 4], [15, 1]], 13/21671077478400], [[[1, 7], [2, 2], [6, 4], [20, 1]], 13/14447384985600], [[[1, 7], [2, 2], [6, 4], [24, 1]], 13/17336861982720], [[[1, 7], [2, 2], [6, 4], [30, 1]], 13/21671077478400], [[[1, 7], [2, 2], [6, 5], [7, 1]], 1/60197437440], [[[1, 7], [2, 2], [6, 5], [9, 1]], 1/232190115840], [[[1, 7], [2, 2], [6, 5], [18, 1]], 13/39007939461120], [[[1, 7], [2, 2], [6, 6], [12, 1]], 13/208042343792640], [[[1, 7], [2, 2], [7, 2], [8, 1]], 3/401408], [[[1, 7], [2, 2], [7, 2], [10, 1]], 1/250880], [[[1, 7], [2, 2], [8, 1], [9, 2]], 13/17915904], [[[1, 7], [2, 2], [8, 2], [10, 2]], 61/21403533312], [[[1, 7], [2, 2], [8, 2], [12, 2]], 1525/256842399744], [[[1, 7], [2, 2], [8, 2], [15, 1]], 305/5350883328], [[[1, 7], [2, 2], [8, 2], [20, 1]], 305/3567255552], [[[1, 7], [2, 2], [8, 2], [24, 1]], 647/7134511104], [[[1, 7], [2, 2], [8, 2], [30, 1]], 305/5350883328], [[[1, 7], [2, 2], [9, 2], [10, 1]], 1/3732480], [[[1, 7], [2, 2], [10, 2], [12, 2]], 13/802632499200], [[[1, 7], [2, 2], [10, 2], [15, 1]], 13/83607552000], [[[1, 7], [2, 2], [10, 2], [20, 1]], 13/55738368000], [[[1, 7], [2, 2], [10, 2], [24, 1]], 13/66886041600], [[[1, 7], [2, 2], [10, 2], [30, 1]], 13/83607552000], [[[1, 7], [2, 2], [12, 1], [36, 1]], 13/501645312], [[[1, 7], [2, 2], [12, 2], [15, 1]], 13/40131624960], [[[1, 7], [2, 2], [12, 2], [20, 1]], 13/26754416640], [[[1, 7], [2, 2], [12, 2], [24, 1]], 169/32105299968], [[[1, 7], [2, 2], [12, 2], [30, 1]], 13/40131624960], [[[1, 7], [2, 2], [15, 1], [20, 1]], 13/2786918400], [[[1, 7], [2, 2], [15, 1], [24, 1]], 13/3344302080], [[[1, 7], [2, 2], [15, 1], [30, 1]], 13/261273600], [[[1, 7], [2, 2], [20, 1], [24, 1]], 13/2229534720], [[[1, 7], [2, 2], [20, 1], [30, 1]], 13/2786918400], [[[1, 7], [2, 2], [24, 1], [30, 1]], 13/3344302080], [[[1, 7], [2, 4], [3, 1], [4, 6]], 120182017/528361508044800], [[[1, 7], [2, 4], [3, 1], [5, 3]], 222703/79626240000], [[[1, 7], [2, 4], [3, 1], [6, 6]], 42250447/4814694242058240], [[[1, 7], [2, 4], [3, 1], [7, 2]], 31/12042240], [[[1, 7], [2, 4], [3, 1], [8, 3]], 47783/91729428480], [[[1, 7], [2, 4], [3, 1], [9, 2]], 859/1433272320], [[[1, 7], [2, 4], [3, 1], [10, 3]], 4961/447897600000], [[[1, 7], [2, 4], [3, 1], [12, 3]], 443/91729428480], [[[1, 7], [2, 4], [3, 1], [14, 2]], 127/325140480], [[[1, 7], [2, 4], [3, 1], [18, 2]], 2977/14511882240], [[[1, 7], [2, 4], [3, 2], [4, 5]], 7779407/33022594252800], [[[1, 7], [2, 4], [3, 2], [6, 5]], 33792623/195039697305600], [[[1, 7], [2, 4], [3, 3], [4, 4]], 158429009/792542262067200], [[[1, 7], [2, 4], [3, 3], [5, 2]], 22299611/10319560704000], [[[1, 7], [2, 4], [3, 3], [6, 4]], 2611763849/2674830134476800], [[[1, 7], [2, 4], [3, 3], [8, 2]], 2514731/3302259425280], [[[1, 7], [2, 4], [3, 3], [10, 2]], 139739/10319560704000], [[[1, 7], [2, 4], [3, 3], [12, 2]], 1686029/4953389137920], [[[1, 7], [2, 4], [3, 3], [15, 1]], 87899/515978035200], [[[1, 7], [2, 4], [3, 3], [20, 1]], 87899/343985356800], [[[1, 7], [2, 4], [3, 3], [24, 1]], 87899/412782428160], [[[1, 7], [2, 4], [3, 3], [30, 1]], 87899/515978035200], [[[1, 7], [2, 4], [3, 4], [4, 3]], 505697/4892236185600], [[[1, 7], [2, 4], [3, 4], [6, 3]], 1419096349/1755357275750400], [[[1, 7], [2, 4], [3, 4], [7, 1]], 4830391/9631589990400], [[[1, 7], [2, 4], [3, 4], [9, 1]], 4246481/12383472844800], [[[1, 7], [2, 4], [3, 4], [14, 1]], 16122779/50565847449600], [[[1, 7], [2, 4], [3, 4], [18, 1]], 2449157/12189981081600], [[[1, 7], [2, 4], [3, 5], [4, 2]], 76722823/1783220089651200], [[[1, 7], [2, 4], [3, 5], [5, 1]], 1768357/6879707136000], [[[1, 7], [2, 4], [3, 5], [6, 2]], 574182391/1604898080686080], [[[1, 7], [2, 4], [3, 5], [8, 1]], 11233823/74300837068800], [[[1, 7], [2, 4], [3, 5], [10, 1]], 1543361/116095057920000], [[[1, 7], [2, 4], [3, 5], [12, 1]], 1122497/5503765708800], [[[1, 7], [2, 4], [3, 6], [4, 1]], 633709/37150418534400], [[[1, 7], [2, 4], [3, 6], [6, 1]], 11932033/195039697305600], [[[1, 7], [2, 4], [4, 1], [5, 3]], 51047/26542080000], [[[1, 7], [2, 4], [4, 1], [6, 6]], 343/275188285440], [[[1, 7], [2, 4], [4, 1], [7, 2]], 271/48168960], [[[1, 7], [2, 4], [4, 1], [8, 3]], 3488839/1141521776640], [[[1, 7], [2, 4], [4, 1], [9, 2]], 2317/2149908480], [[[1, 7], [2, 4], [4, 1], [10, 3]], 47/2949120000], [[[1, 7], [2, 4], [4, 1], [12, 3]], 77/7644119040], [[[1, 7], [2, 4], [4, 1], [14, 2]], 23/48168960], [[[1, 7], [2, 4], [4, 1], [18, 2]], 13/47775744], [[[1, 7], [2, 4], [4, 1], [28, 1]], 11/20643840], [[[1, 7], [2, 4], [4, 1], [36, 1]], 11/26542080], [[[1, 7], [2, 4], [4, 2], [6, 5]], 9300629/2080423437926400], [[[1, 7], [2, 4], [4, 3], [5, 2]], 772571/509607936000], [[[1, 7], [2, 4], [4, 3], [6, 4]], 641659/132090377011200], [[[1, 7], [2, 4], [4, 3], [8, 2]], 469615/32614907904], [[[1, 7], [2, 4], [4, 3], [10, 2]], 174683/509607936000], [[[1, 7], [2, 4], [4, 3], [12, 2]], 454907/244611809280], [[[1, 7], [2, 4], [4, 3], [15, 1]], 6779/25480396800], [[[1, 7], [2, 4], [4, 3], [16, 1]], 551/94371840], [[[1, 7], [2, 4], [4, 3], [20, 1]], 81467/16986931200], [[[1, 7], [2, 4], [4, 3], [24, 1]], 6779/20384317440], [[[1, 7], [2, 4], [4, 3], [30, 1]], 6779/25480396800], [[[1, 7], [2, 4], [4, 4], [6, 3]], 3662009/520105859481600], [[[1, 7], [2, 4], [4, 4], [7, 1]], 1046483/407686348800], [[[1, 7], [2, 4], [4, 4], [9, 1]], 8163953/11007531417600], [[[1, 7], [2, 4], [4, 4], [14, 1]], 2417689/14982473318400], [[[1, 7], [2, 4], [4, 4], [18, 1]], 213131/1805923123200], [[[1, 7], [2, 4], [4, 5], [5, 1]], 591101/2038431744000], [[[1, 7], [2, 4], [4, 5], [6, 2]], 11807/733835427840], [[[1, 7], [2, 4], [4, 5], [8, 1]], 114295361/54793045278720], [[[1, 7], [2, 4], [4, 5], [10, 1]], 74111/679477248000], [[[1, 7], [2, 4], [4, 5], [12, 1]], 216923/244611809280], [[[1, 7], [2, 4], [4, 6], [6, 1]], 24923999/616421759385600], [[[1, 7], [2, 4], [5, 1], [6, 5]], 17443/2579890176000], [[[1, 7], [2, 4], [5, 2], [6, 3]], 220697/6772211712000], [[[1, 7], [2, 4], [5, 2], [7, 1]], 220343/37158912000], [[[1, 7], [2, 4], [5, 2], [9, 1]], 418619/143327232000], [[[1, 7], [2, 4], [5, 2], [14, 1]], 701947/195084288000], [[[1, 7], [2, 4], [5, 2], [18, 1]], 108931/47029248000], [[[1, 7], [2, 4], [5, 3], [6, 1]], 163/9953280000], [[[1, 7], [2, 4], [6, 1], [7, 2]], 5/2408448], [[[1, 7], [2, 4], [6, 1], [8, 3]], 4903/10192158720], [[[1, 7], [2, 4], [6, 1], [9, 2]], 35/107495424], [[[1, 7], [2, 4], [6, 1], [10, 3]], 1009/418037760000], [[[1, 7], [2, 4], [6, 1], [12, 3]], 67/30098718720], [[[1, 7], [2, 4], [6, 1], [14, 2]], 1/21676032], [[[1, 7], [2, 4], [6, 1], [18, 2]], 1481/33861058560], [[[1, 7], [2, 4], [6, 3], [8, 2]], 260009/2167107747840], [[[1, 7], [2, 4], [6, 3], [10, 2]], 71009/6772211712000], [[[1, 7], [2, 4], [6, 3], [12, 2]], 12247/650132324352], [[[1, 7], [2, 4], [6, 3], [15, 1]], 2969/338610585600], [[[1, 7], [2, 4], [6, 3], [20, 1]], 2969/225740390400], [[[1, 7], [2, 4], [6, 3], [24, 1]], 2969/270888468480], [[[1, 7], [2, 4], [6, 3], [30, 1]], 2969/338610585600], [[[1, 7], [2, 4], [6, 4], [7, 1]], 1174711/9631589990400], [[[1, 7], [2, 4], [6, 4], [9, 1]], 1194043/37150418534400], [[[1, 7], [2, 4], [6, 4], [14, 1]], 50779/50565847449600], [[[1, 7], [2, 4], [6, 4], [18, 1]], 68897/12189981081600], [[[1, 7], [2, 4], [6, 5], [8, 1]], 19423/8255648563200], [[[1, 7], [2, 4], [6, 5], [10, 1]], 51409/108355387392000], [[[1, 7], [2, 4], [6, 5], [12, 1]], 12181/8126654054400], [[[1, 7], [2, 4], [7, 1], [8, 2]], 51431/11890851840], [[[1, 7], [2, 4], [7, 1], [10, 2]], 52151/37158912000], [[[1, 7], [2, 4], [7, 1], [12, 2]], 311/17836277760], [[[1, 7], [2, 4], [7, 1], [15, 1]], 311/1857945600], [[[1, 7], [2, 4], [7, 1], [20, 1]], 311/1238630400], [[[1, 7], [2, 4], [7, 1], [24, 1]], 311/1486356480], [[[1, 7], [2, 4], [7, 1], [30, 1]], 311/1857945600], [[[1, 7], [2, 4], [8, 2], [9, 1]], 70283/45864714240], [[[1, 7], [2, 4], [8, 2], [14, 1]], 53299/62426972160], [[[1, 7], [2, 4], [8, 2], [18, 1]], 9517/15049359360], [[[1, 7], [2, 4], [9, 1], [10, 2]], 52283/143327232000], [[[1, 7], [2, 4], [9, 1], [12, 2]], 443/68797071360], [[[1, 7], [2, 4], [9, 1], [15, 1]], 443/7166361600], [[[1, 7], [2, 4], [9, 1], [20, 1]], 443/4777574400], [[[1, 7], [2, 4], [9, 1], [24, 1]], 443/5733089280], [[[1, 7], [2, 4], [9, 1], [30, 1]], 443/7166361600], [[[1, 7], [2, 4], [10, 2], [14, 1]], 379/195084288000], [[[1, 7], [2, 4], [10, 2], [18, 1]], 67/47029248000], [[[1, 7], [2, 4], [12, 2], [14, 1]], 379/93640458240], [[[1, 7], [2, 4], [12, 2], [18, 1]], 67/22574039040], [[[1, 7], [2, 4], [14, 1], [15, 1]], 379/9754214400], [[[1, 7], [2, 4], [14, 1], [20, 1]], 379/6502809600], [[[1, 7], [2, 4], [14, 1], [24, 1]], 379/7803371520], [[[1, 7], [2, 4], [14, 1], [30, 1]], 379/9754214400], [[[1, 7], [2, 4], [15, 1], [18, 1]], 67/2351462400], [[[1, 7], [2, 4], [18, 1], [20, 1]], 67/1567641600], [[[1, 7], [2, 4], [18, 1], [24, 1]], 67/1881169920], [[[1, 7], [2, 4], [18, 1], [30, 1]], 67/2351462400], [[[1, 7], [2, 6], [3, 1], [4, 5]], 348300073/293534171136000], [[[1, 7], [2, 6], [3, 1], [6, 5]], 10221168911/60183678025728000], [[[1, 7], [2, 6], [3, 2], [4, 4]], 10414037/9784472371200], [[[1, 7], [2, 6], [3, 2], [5, 2]], 408869/382205952000], [[[1, 7], [2, 6], [3, 2], [6, 4]], 12174385003/6241270313779200], [[[1, 7], [2, 6], [3, 2], [8, 2]], 27269/24461180928], [[[1, 7], [2, 6], [3, 2], [10, 2]], 1789/4718592000], [[[1, 7], [2, 6], [3, 2], [12, 2]], 8903/183458856960], [[[1, 7], [2, 6], [3, 2], [15, 1]], 1421/19110297600], [[[1, 7], [2, 6], [3, 2], [20, 1]], 1421/12740198400], [[[1, 7], [2, 6], [3, 2], [24, 1]], 1421/15288238080], [[[1, 7], [2, 6], [3, 2], [30, 1]], 1421/19110297600], [[[1, 7], [2, 6], [3, 3], [4, 3]], 2523431/3302259425280], [[[1, 7], [2, 6], [3, 3], [6, 3]], 1811966717/222902511206400], [[[1, 7], [2, 6], [3, 3], [7, 1]], 176501/481579499520], [[[1, 7], [2, 6], [3, 3], [9, 1]], 32437/123834728448], [[[1, 7], [2, 6], [3, 3], [14, 1]], 204559/481579499520], [[[1, 7], [2, 6], [3, 3], [18, 1]], 437879/1857520926720], [[[1, 7], [2, 6], [3, 4], [4, 2]], 134296554941/332867750068224000], [[[1, 7], [2, 6], [3, 4], [5, 1]], 1503311/5096079360000], [[[1, 7], [2, 6], [3, 4], [6, 2]], 50900598671/18723810941337600], [[[1, 7], [2, 6], [3, 4], [8, 1]], 12610087/44030125670400], [[[1, 7], [2, 6], [3, 4], [10, 1]], 261859897/1733686198272000], [[[1, 7], [2, 6], [3, 4], [12, 1]], 286003/1651129712640], [[[1, 7], [2, 6], [3, 5], [4, 1]], 345071669/2972033482752000], [[[1, 7], [2, 6], [3, 5], [6, 1]], 18853824911/60183678025728000], [[[1, 7], [2, 6], [4, 1], [6, 5]], 17607823/330225942528000], [[[1, 7], [2, 6], [4, 2], [5, 2]], 3024734653/1284211998720000], [[[1, 7], [2, 6], [4, 2], [6, 4]], 71739532541/332867750068224000], [[[1, 7], [2, 6], [4, 2], [8, 2]], 6029958961/410947839590400], [[[1, 7], [2, 6], [4, 2], [10, 2]], 1861099453/1284211998720000], [[[1, 7], [2, 6], [4, 2], [12, 2]], 199750141/616421759385600], [[[1, 7], [2, 6], [4, 2], [15, 1]], 21938941/64210599936000], [[[1, 7], [2, 6], [4, 2], [16, 1]], 83/18874368], [[[1, 7], [2, 6], [4, 2], [20, 1]], 51574141/42807066624000], [[[1, 7], [2, 6], [4, 2], [24, 1]], 21938941/51368479948800], [[[1, 7], [2, 6], [4, 2], [30, 1]], 21938941/64210599936000], [[[1, 7], [2, 6], [4, 3], [6, 3]], 6013339/13209037701120], [[[1, 7], [2, 6], [4, 3], [7, 1]], 67607/23781703680], [[[1, 7], [2, 6], [4, 3], [9, 1]], 67607/45864714240], [[[1, 7], [2, 6], [4, 3], [14, 1]], 773/452984832], [[[1, 7], [2, 6], [4, 3], [18, 1]], 216379/183458856960], [[[1, 7], [2, 6], [4, 4], [5, 1]], 294764261/122305904640000], [[[1, 7], [2, 6], [4, 4], [6, 2]], 3819320221/5547795834470400], [[[1, 7], [2, 6], [4, 4], [8, 1]], 527864891/39137889484800], [[[1, 7], [2, 6], [4, 4], [10, 1]], 963976067/513684799488000], [[[1, 7], [2, 6], [4, 4], [12, 1]], 700399801/154105439846400], [[[1, 7], [2, 6], [4, 5], [6, 1]], 263105519/293534171136000], [[[1, 7], [2, 6], [5, 1], [6, 4]], 46010671/412782428160000], [[[1, 7], [2, 6], [5, 1], [8, 2]], 1059551/509607936000], [[[1, 7], [2, 6], [5, 1], [10, 2]], 6239663/1592524800000], [[[1, 7], [2, 6], [5, 1], [12, 2]], 6191/764411904000], [[[1, 7], [2, 6], [5, 1], [15, 1]], 6191/79626240000], [[[1, 7], [2, 6], [5, 1], [20, 1]], 6191/53084160000], [[[1, 7], [2, 6], [5, 1], [24, 1]], 6191/63700992000], [[[1, 7], [2, 6], [5, 1], [30, 1]], 6191/79626240000], [[[1, 7], [2, 6], [5, 2], [6, 2]], 36238423/72236924928000], [[[1, 7], [2, 6], [5, 2], [8, 1]], 878453/509607936000], [[[1, 7], [2, 6], [5, 2], [10, 1]], 40975289/6688604160000], [[[1, 7], [2, 6], [6, 2], [8, 2]], 18610771/23115815976960], [[[1, 7], [2, 6], [6, 2], [10, 2]], 3952969/10319560704000], [[[1, 7], [2, 6], [6, 2], [12, 2]], 1153669/34673723965440], [[[1, 7], [2, 6], [6, 2], [15, 1]], 168151/3611846246400], [[[1, 7], [2, 6], [6, 2], [20, 1]], 168151/2407897497600], [[[1, 7], [2, 6], [6, 2], [24, 1]], 168151/2889476997120], [[[1, 7], [2, 6], [6, 2], [30, 1]], 168151/3611846246400], [[[1, 7], [2, 6], [6, 3], [7, 1]], 176501/481579499520], [[[1, 7], [2, 6], [6, 3], [9, 1]], 296183/1857520926720], [[[1, 7], [2, 6], [6, 3], [14, 1]], 1351669/10113169489920], [[[1, 7], [2, 6], [6, 3], [18, 1]], 696271/5572562780160], [[[1, 7], [2, 6], [6, 4], [8, 1]], 19208341/132090377011200], [[[1, 7], [2, 6], [6, 4], [10, 1]], 181937353/1733686198272000], [[[1, 7], [2, 6], [6, 4], [12, 1]], 1646887/20804234379264], [[[1, 7], [2, 6], [7, 1], [9, 1]], 1781/6688604160], [[[1, 7], [2, 6], [7, 1], [14, 1]], 4231/1734082560], [[[1, 7], [2, 6], [7, 1], [18, 1]], 1781/6688604160], [[[1, 7], [2, 6], [8, 1], [10, 2]], 433781/509607936000], [[[1, 7], [2, 6], [8, 1], [12, 2]], 1781/244611809280], [[[1, 7], [2, 6], [8, 1], [15, 1]], 1781/25480396800], [[[1, 7], [2, 6], [8, 1], [16, 1]], 49/113246208], [[[1, 7], [2, 6], [8, 1], [20, 1]], 1781/16986931200], [[[1, 7], [2, 6], [8, 1], [24, 1]], 1781/20384317440], [[[1, 7], [2, 6], [8, 1], [30, 1]], 1781/25480396800], [[[1, 7], [2, 6], [8, 2], [10, 1]], 3045257/2140353331200], [[[1, 7], [2, 6], [9, 1], [14, 1]], 1423/6688604160], [[[1, 7], [2, 6], [9, 1], [18, 1]], 16613/25798901760], [[[1, 7], [2, 6], [10, 1], [12, 2]], 18233/3210529996800], [[[1, 7], [2, 6], [10, 1], [15, 1]], 18233/334430208000], [[[1, 7], [2, 6], [10, 1], [20, 1]], 18233/222953472000], [[[1, 7], [2, 6], [10, 1], [24, 1]], 18233/267544166400], [[[1, 7], [2, 6], [10, 1], [30, 1]], 18233/334430208000], [[[1, 7], [2, 6], [14, 1], [18, 1]], 21109/140460687360], [[[1, 7], [2, 8], [3, 1], [4, 4]], 13233459020071/19972065004093440000], [[[1, 7], [2, 8], [3, 1], [5, 2]], 29973868303/260052929740800000], [[[1, 7], [2, 8], [3, 1], [6, 4]], 18706981943471/67405719388815360000], [[[1, 7], [2, 8], [3, 1], [8, 2]], 20736152671/83216937517056000], [[[1, 7], [2, 8], [3, 1], [10, 2]], 60360934063/260052929740800000], [[[1, 7], [2, 8], [3, 1], [12, 2]], 101661871/124825406275584000], [[[1, 7], [2, 8], [3, 1], [15, 1]], 101661871/13002646487040000], [[[1, 7], [2, 8], [3, 1], [20, 1]], 101661871/8668430991360000], [[[1, 7], [2, 8], [3, 1], [24, 1]], 101661871/10402117189632000], [[[1, 7], [2, 8], [3, 1], [30, 1]], 101661871/13002646487040000], [[[1, 7], [2, 8], [3, 2], [4, 3]], 16806841/30821087969280], [[[1, 7], [2, 8], [3, 2], [6, 3]], 2516696789/1783220089651200], [[[1, 7], [2, 8], [3, 2], [7, 1]], 5914771/101131694899200], [[[1, 7], [2, 8], [3, 2], [9, 1]], 1061891731/23404763676672000], [[[1, 7], [2, 8], [3, 2], [14, 1]], 5459/42138206208], [[[1, 7], [2, 8], [3, 2], [18, 1]], 128837/2167107747840], [[[1, 7], [2, 8], [3, 3], [4, 2]], 56472931243/199720650040934400], [[[1, 7], [2, 8], [3, 3], [5, 1]], 948897931/13002646487040000], [[[1, 7], [2, 8], [3, 3], [6, 2]], 863916625471/748952437653504000], [[[1, 7], [2, 8], [3, 3], [8, 1]], 7060229/69347447930880], [[[1, 7], [2, 8], [3, 3], [10, 1]], 1076057/10319560704000], [[[1, 7], [2, 8], [3, 3], [12, 1]], 3942581311/124825406275584000], [[[1, 7], [2, 8], [3, 4], [4, 1]], 4092931393/55477958344704000], [[[1, 7], [2, 8], [3, 4], [6, 1]], 187158460723/1123428656480256000], [[[1, 7], [2, 8], [4, 1], [5, 2]], 7767961/23781703680000], [[[1, 7], [2, 8], [4, 1], [6, 4]], 7884078913/55477958344704000], [[[1, 7], [2, 8], [4, 1], [8, 2]], 24798911/22830435532800], [[[1, 7], [2, 8], [4, 1], [10, 2]], 41739403/71345111040000], [[[1, 7], [2, 8], [4, 1], [12, 2]], 81451/34245653299200], [[[1, 7], [2, 8], [4, 1], [15, 1]], 81451/3567255552000], [[[1, 7], [2, 8], [4, 1], [16, 1]], 49/339738624], [[[1, 7], [2, 8], [4, 1], [20, 1]], 81451/2378170368000], [[[1, 7], [2, 8], [4, 1], [24, 1]], 81451/2853804441600], [[[1, 7], [2, 8], [4, 1], [30, 1]], 81451/3567255552000], [[[1, 7], [2, 8], [4, 2], [6, 3]], 1898796121/4160846875852800], [[[1, 7], [2, 8], [4, 2], [7, 1]], 356426323/719158719283200], [[[1, 7], [2, 8], [4, 2], [9, 1]], 882960907/2773897917235200], [[[1, 7], [2, 8], [4, 2], [14, 1]], 21938941/29964946636800], [[[1, 7], [2, 8], [4, 2], [18, 1]], 21938941/57789539942400], [[[1, 7], [2, 8], [4, 3], [5, 1]], 4685909/5707608883200], [[[1, 7], [2, 8], [4, 3], [6, 2]], 51151327/66045188505600], [[[1, 7], [2, 8], [4, 3], [8, 1]], 12504573883/3287582716723200], [[[1, 7], [2, 8], [4, 3], [10, 1]], 93495727/85614133248000], [[[1, 7], [2, 8], [4, 3], [12, 1]], 37446847/51368479948800], [[[1, 7], [2, 8], [4, 4], [6, 1]], 39518347409/47552535724032000], [[[1, 7], [2, 8], [5, 1], [6, 3]], 3104209/24078974976000], [[[1, 7], [2, 8], [5, 1], [7, 1]], 3397771/46820229120000], [[[1, 7], [2, 8], [5, 1], [9, 1]], 8867671/180592312320000], [[[1, 7], [2, 8], [5, 1], [14, 1]], 27647/195084288000], [[[1, 7], [2, 8], [5, 1], [18, 1]], 22417/334430208000], [[[1, 7], [2, 8], [5, 2], [6, 1]], 676806419/4334215495680000], [[[1, 7], [2, 8], [6, 1], [8, 2]], 425866583/1386948958617600], [[[1, 7], [2, 8], [6, 1], [10, 2]], 1168405139/4334215495680000], [[[1, 7], [2, 8], [6, 1], [12, 2]], 2139923/2080423437926400], [[[1, 7], [2, 8], [6, 1], [15, 1]], 2139923/216710774784000], [[[1, 7], [2, 8], [6, 1], [20, 1]], 2139923/144473849856000], [[[1, 7], [2, 8], [6, 1], [24, 1]], 2139923/173368619827200], [[[1, 7], [2, 8], [6, 1], [30, 1]], 2139923/216710774784000], [[[1, 7], [2, 8], [6, 2], [7, 1]], 6337/48157949952], [[[1, 7], [2, 8], [6, 2], [9, 1]], 17513/232190115840], [[[1, 7], [2, 8], [6, 2], [14, 1]], 5459/42138206208], [[[1, 7], [2, 8], [6, 2], [18, 1]], 31355663/390079394611200], [[[1, 7], [2, 8], [6, 3], [8, 1]], 288659/1651129712640], [[[1, 7], [2, 8], [6, 3], [10, 1]], 37806359/216710774784000], [[[1, 7], [2, 8], [6, 3], [12, 1]], 119002883/2080423437926400], [[[1, 7], [2, 8], [7, 1], [8, 1]], 3187/31213486080], [[[1, 7], [2, 8], [7, 1], [10, 1]], 823/6193152000], [[[1, 7], [2, 8], [8, 1], [9, 1]], 62897/963158999040], [[[1, 7], [2, 8], [8, 1], [14, 1]], 1781/11890851840], [[[1, 7], [2, 8], [8, 1], [18, 1]], 1781/22932357120], [[[1, 7], [2, 8], [9, 1], [10, 1]], 11129/143327232000], [[[1, 7], [2, 8], [10, 1], [14, 1]], 27647/195084288000], [[[1, 7], [2, 8], [10, 1], [18, 1]], 240599/3009871872000], [[[1, 7], [2, 10], [3, 1], [4, 3]], 52894754183/665735500136448000], [[[1, 7], [2, 10], [3, 1], [6, 3]], 247292183407/3370285969440768000], [[[1, 7], [2, 10], [3, 1], [7, 1]], 34466113/12135803387904000], [[[1, 7], [2, 10], [3, 1], [9, 1]], 1875543679/873777843929088000], [[[1, 7], [2, 10], [3, 1], [14, 1]], 66059089/6067901693952000], [[[1, 7], [2, 10], [3, 1], [18, 1]], 24128849/5851190919168000], [[[1, 7], [2, 10], [3, 2], [4, 2]], 5286709621/110955916689408000], [[[1, 7], [2, 10], [3, 2], [5, 1]], 116077993/26005292974080000], [[[1, 7], [2, 10], [3, 2], [6, 2]], 3095125018631/27960891005730816000], [[[1, 7], [2, 10], [3, 2], [8, 1]], 46316713/5201058594816000], [[[1, 7], [2, 10], [3, 2], [10, 1]], 1590133/96315899904000], [[[1, 7], [2, 10], [3, 2], [12, 1]], 7216752391/4660148500955136000], [[[1, 7], [2, 10], [3, 3], [4, 1]], 115166059/10402117189632000], [[[1, 7], [2, 10], [3, 3], [6, 1]], 7972994447/374476218826752000], [[[1, 7], [2, 10], [4, 1], [6, 3]], 1112080937/18492652781568000], [[[1, 7], [2, 10], [4, 1], [7, 1]], 3594121/299649466368000], [[[1, 7], [2, 10], [4, 1], [9, 1]], 85241/10319560704000], [[[1, 7], [2, 10], [4, 1], [14, 1]], 20614051/599298932736000], [[[1, 7], [2, 10], [4, 1], [18, 1]], 10839931/770527199232000], [[[1, 7], [2, 10], [4, 2], [5, 1]], 254286043/4403012567040000], [[[1, 7], [2, 10], [4, 2], [6, 2]], 9348642251/66573550013644800], [[[1, 7], [2, 10], [4, 2], [8, 1]], 7607659223/49313740750848000], [[[1, 7], [2, 10], [4, 2], [10, 1]], 1502543011/10273695989760000], [[[1, 7], [2, 10], [4, 2], [12, 1]], 16111010603/1165037125238784000], [[[1, 7], [2, 10], [4, 3], [6, 1]], 2169579521/14794122225254400], [[[1, 7], [2, 10], [5, 1], [6, 2]], 255413/11557907988480], [[[1, 7], [2, 10], [5, 1], [8, 1]], 6771587/642105999360000], [[[1, 7], [2, 10], [5, 1], [10, 1]], 163309/4954521600000], [[[1, 7], [2, 10], [6, 1], [7, 1]], 79067/10787380789248], [[[1, 7], [2, 10], [6, 1], [9, 1]], 5083403/1040211718963200], [[[1, 7], [2, 10], [6, 1], [14, 1]], 1652473/101131694899200], [[[1, 7], [2, 10], [6, 1], [18, 1]], 1281266363/174755568785817600], [[[1, 7], [2, 10], [6, 2], [8, 1]], 1912313/57789539942400], [[[1, 7], [2, 10], [6, 2], [10, 1]], 9871207/216710774784000], [[[1, 7], [2, 10], [6, 2], [12, 1]], 5067980987/932029700191027200], [[[1, 7], [2, 10], [8, 1], [10, 1]], 211/7340032000], [[[1, 7], [2, 12], [3, 1], [4, 2]], 22457007169/7988826001637376000], [[[1, 7], [2, 12], [3, 1], [5, 1]], 13479871/92463263907840000], [[[1, 7], [2, 12], [3, 1], [6, 2]], 384774129011/107849151022104576000], [[[1, 7], [2, 12], [3, 1], [8, 1]], 118915553/332867750068224000], [[[1, 7], [2, 12], [3, 1], [10, 1]], 466372031/520105859481600000], [[[1, 7], [2, 12], [3, 1], [12, 1]], 6536483/221911833378816000], [[[1, 7], [2, 12], [3, 2], [4, 1]], 49130381/71328803586048000], [[[1, 7], [2, 12], [3, 2], [6, 1]], 2035321661/1747555687858176000], [[[1, 7], [2, 12], [4, 1], [5, 1]], 3545183/4403012567040000], [[[1, 7], [2, 12], [4, 1], [6, 2]], 99393121/18492652781568000], [[[1, 7], [2, 12], [4, 1], [8, 1]], 7812258703/4142354223071232000], [[[1, 7], [2, 12], [4, 1], [10, 1]], 37436443/10273695989760000], [[[1, 7], [2, 12], [4, 1], [12, 1]], 116087/2054739197952000], [[[1, 7], [2, 12], [4, 2], [6, 1]], 70596471157/9320297001910272000], [[[1, 7], [2, 12], [5, 1], [6, 1]], 6969917/11557907988480000], [[[1, 7], [2, 12], [6, 1], [8, 1]], 42592553/36985305563136000], [[[1, 7], [2, 12], [6, 1], [10, 1]], 1097475107/485432135516160000], [[[1, 7], [2, 12], [6, 1], [12, 1]], 20120263/291259281309696000], [[[1, 7], [2, 14], [3, 1], [4, 1]], 308406809/13314710002728960000], [[[1, 7], [2, 14], [3, 1], [6, 1]], 8724002741/269622877555261440000], [[[1, 7], [2, 14], [4, 1], [6, 1]], 460490669/4438236667576320000], [[[1, 7], [3, 1], [4, 2], [5, 3]], 13/6635520000], [[[1, 7], [3, 1], [4, 2], [6, 6]], 1/4953389137920], [[[1, 7], [3, 1], [4, 2], [7, 2]], 1/1806336], [[[1, 7], [3, 1], [4, 2], [9, 2]], 1/23887872], [[[1, 7], [3, 1], [4, 2], [12, 3]], 517/619173642240], [[[1, 7], [3, 1], [4, 2], [28, 1]], 1/34836480], [[[1, 7], [3, 1], [4, 2], [36, 1]], 1/134369280], [[[1, 7], [3, 1], [4, 4], [5, 2]], 3943/17199267840000], [[[1, 7], [3, 1], [4, 4], [6, 4]], 1351/4458050224128000], [[[1, 7], [3, 1], [4, 4], [8, 2]], 147391/5503765708800], [[[1, 7], [3, 1], [4, 4], [10, 2]], 1351/17199267840000], [[[1, 7], [3, 1], [4, 4], [12, 2]], 26791/8255648563200], [[[1, 7], [3, 1], [4, 4], [15, 1]], 1351/859963392000], [[[1, 7], [3, 1], [4, 4], [20, 1]], 347/114661785600], [[[1, 7], [3, 1], [4, 4], [24, 1]], 1351/687970713600], [[[1, 7], [3, 1], [4, 4], [30, 1]], 1351/859963392000], [[[1, 7], [3, 1], [4, 6], [5, 1]], 13/509607936000], [[[1, 7], [3, 1], [4, 6], [6, 2]], 1/1467670855680], [[[1, 7], [3, 1], [4, 6], [12, 1]], 65509/99067782758400], [[[1, 7], [3, 1], [5, 1], [6, 6]], 1/322486272000], [[[1, 7], [3, 1], [5, 1], [7, 2]], 1/188160], [[[1, 7], [3, 1], [5, 1], [9, 2]], 1/2332800], [[[1, 7], [3, 1], [5, 1], [12, 3]], 1/99532800], [[[1, 7], [3, 1], [5, 2], [6, 4]], 2593/58047528960000], [[[1, 7], [3, 1], [5, 2], [8, 2]], 2593/71663616000], [[[1, 7], [3, 1], [5, 2], [10, 2]], 2893/223948800000], [[[1, 7], [3, 1], [5, 2], [12, 2]], 2593/107495424000], [[[1, 7], [3, 1], [5, 2], [15, 1]], 2593/11197440000], [[[1, 7], [3, 1], [5, 2], [20, 1]], 2593/7464960000], [[[1, 7], [3, 1], [5, 2], [24, 1]], 2593/8957952000], [[[1, 7], [3, 1], [5, 2], [30, 1]], 2593/11197440000], [[[1, 7], [3, 1], [5, 3], [6, 2]], 1/1244160000], [[[1, 7], [3, 1], [5, 3], [12, 1]], 1/207360000], [[[1, 7], [3, 1], [6, 2], [7, 2]], 1/2709504], [[[1, 7], [3, 1], [6, 2], [9, 2]], 1/40310784], [[[1, 7], [3, 1], [6, 2], [12, 3]], 1/51597803520], [[[1, 7], [3, 1], [6, 2], [18, 2]], 1/3627970560], [[[1, 7], [3, 1], [6, 4], [8, 2]], 1/18575209267200], [[[1, 7], [3, 1], [6, 4], [10, 2]], 1/58047528960000], [[[1, 7], [3, 1], [6, 4], [12, 2]], 271/27862813900800], [[[1, 7], [3, 1], [6, 4], [15, 1]], 1/2902376448000], [[[1, 7], [3, 1], [6, 4], [20, 1]], 1/1934917632000], [[[1, 7], [3, 1], [6, 4], [24, 1]], 1/2321901158400], [[[1, 7], [3, 1], [6, 4], [30, 1]], 1/2902376448000], [[[1, 7], [3, 1], [6, 5], [18, 1]], 1/5224277606400], [[[1, 7], [3, 1], [6, 6], [12, 1]], 1/27862813900800], [[[1, 7], [3, 1], [7, 2], [12, 1]], 1/451584], [[[1, 7], [3, 1], [8, 2], [10, 2]], 1/71663616000], [[[1, 7], [3, 1], [8, 2], [12, 2]], 1/34398535680], [[[1, 7], [3, 1], [8, 2], [15, 1]], 1/3583180800], [[[1, 7], [3, 1], [8, 2], [20, 1]], 1/2388787200], [[[1, 7], [3, 1], [8, 2], [24, 1]], 11/955514880], [[[1, 7], [3, 1], [8, 2], [30, 1]], 1/3583180800], [[[1, 7], [3, 1], [9, 2], [12, 1]], 1/6718464], [[[1, 7], [3, 1], [10, 2], [12, 2]], 1/107495424000], [[[1, 7], [3, 1], [10, 2], [15, 1]], 1/11197440000], [[[1, 7], [3, 1], [10, 2], [20, 1]], 1/7464960000], [[[1, 7], [3, 1], [10, 2], [24, 1]], 1/8957952000], [[[1, 7], [3, 1], [10, 2], [30, 1]], 1/11197440000], [[[1, 7], [3, 1], [12, 1], [36, 1]], 1/67184640], [[[1, 7], [3, 1], [12, 2], [15, 1]], 1/5374771200], [[[1, 7], [3, 1], [12, 2], [20, 1]], 1/3583180800], [[[1, 7], [3, 1], [12, 2], [24, 1]], 13/4299816960], [[[1, 7], [3, 1], [12, 2], [30, 1]], 1/5374771200], [[[1, 7], [3, 1], [15, 1], [20, 1]], 1/373248000], [[[1, 7], [3, 1], [15, 1], [24, 1]], 1/447897600], [[[1, 7], [3, 1], [15, 1], [30, 1]], 1/34992000], [[[1, 7], [3, 1], [20, 1], [24, 1]], 1/298598400], [[[1, 7], [3, 1], [20, 1], [30, 1]], 1/373248000], [[[1, 7], [3, 1], [24, 1], [30, 1]], 1/447897600], [[[1, 7], [3, 2], [4, 1], [8, 3]], 1/127401984], [[[1, 7], [3, 2], [4, 4], [7, 1]], 181/6688604160], [[[1, 7], [3, 2], [4, 4], [9, 1]], 12211/1547934105600], [[[1, 7], [3, 2], [4, 5], [8, 1]], 181/30576476160], [[[1, 7], [3, 2], [5, 2], [7, 1]], 31/12441600], [[[1, 7], [3, 2], [5, 2], [9, 1]], 15613/20155392000], [[[1, 7], [3, 2], [6, 4], [7, 1]], 271/22574039040], [[[1, 7], [3, 2], [6, 4], [9, 1]], 16261/5224277606400], [[[1, 7], [3, 2], [7, 1], [8, 2]], 1/27869184], [[[1, 7], [3, 2], [7, 1], [10, 2]], 1/87091200], [[[1, 7], [3, 2], [7, 1], [12, 2]], 19/41803776], [[[1, 7], [3, 2], [7, 1], [15, 1]], 1/4354560], [[[1, 7], [3, 2], [7, 1], [20, 1]], 1/2903040], [[[1, 7], [3, 2], [7, 1], [24, 1]], 1/3483648], [[[1, 7], [3, 2], [7, 1], [30, 1]], 1/4354560], [[[1, 7], [3, 2], [8, 2], [9, 1]], 61/6449725440], [[[1, 7], [3, 2], [9, 1], [10, 2]], 61/20155392000], [[[1, 7], [3, 2], [9, 1], [12, 2]], 1141/9674588160], [[[1, 7], [3, 2], [9, 1], [15, 1]], 61/1007769600], [[[1, 7], [3, 2], [9, 1], [20, 1]], 61/671846400], [[[1, 7], [3, 2], [9, 1], [24, 1]], 61/806215680], [[[1, 7], [3, 2], [9, 1], [30, 1]], 61/1007769600], [[[1, 7], [3, 3], [4, 2], [5, 2]], 20833/171992678400], [[[1, 7], [3, 3], [4, 2], [6, 4]], 26827/44580502241280], [[[1, 7], [3, 3], [4, 2], [8, 2]], 205/55037657088], [[[1, 7], [3, 3], [4, 2], [10, 2]], 97/171992678400], [[[1, 7], [3, 3], [4, 2], [12, 2]], 17107/412782428160], [[[1, 7], [3, 3], [4, 2], [15, 1]], 97/8599633920], [[[1, 7], [3, 3], [4, 2], [20, 1]], 97/5733089280], [[[1, 7], [3, 3], [4, 2], [24, 1]], 97/6879707136], [[[1, 7], [3, 3], [4, 2], [30, 1]], 97/8599633920], [[[1, 7], [3, 3], [4, 4], [5, 1]], 10861/859963392000], [[[1, 7], [3, 3], [4, 4], [6, 2]], 44791/49533891379200], [[[1, 7], [3, 3], [4, 4], [12, 1]], 83591/8255648563200], [[[1, 7], [3, 3], [5, 1], [6, 4]], 17071/2902376448000], [[[1, 7], [3, 3], [5, 1], [8, 2]], 61/3583180800], [[[1, 7], [3, 3], [5, 1], [10, 2]], 61/11197440000], [[[1, 7], [3, 3], [5, 1], [12, 2]], 239/1074954240], [[[1, 7], [3, 3], [5, 1], [15, 1]], 61/559872000], [[[1, 7], [3, 3], [5, 1], [20, 1]], 61/373248000], [[[1, 7], [3, 3], [5, 1], [24, 1]], 61/447897600], [[[1, 7], [3, 3], [5, 1], [30, 1]], 61/559872000], [[[1, 7], [3, 3], [5, 2], [6, 2]], 54673/644972544000], [[[1, 7], [3, 3], [5, 2], [12, 1]], 54673/107495424000], [[[1, 7], [3, 3], [6, 2], [8, 2]], 241/206391214080], [[[1, 7], [3, 3], [6, 2], [10, 2]], 241/644972544000], [[[1, 7], [3, 3], [6, 2], [12, 2]], 6151/309586821120], [[[1, 7], [3, 3], [6, 2], [15, 1]], 241/32248627200], [[[1, 7], [3, 3], [6, 2], [20, 1]], 241/21499084800], [[[1, 7], [3, 3], [6, 2], [24, 1]], 313/25798901760], [[[1, 7], [3, 3], [6, 2], [30, 1]], 241/32248627200], [[[1, 7], [3, 3], [6, 3], [18, 1]], 241/58047528960], [[[1, 7], [3, 3], [6, 4], [12, 1]], 86731/27862813900800], [[[1, 7], [3, 3], [7, 1], [9, 1]], 1/6718464], [[[1, 7], [3, 3], [8, 2], [12, 1]], 241/34398535680], [[[1, 7], [3, 3], [10, 2], [12, 1]], 241/107495424000], [[[1, 7], [3, 3], [12, 1], [15, 1]], 241/5374771200], [[[1, 7], [3, 3], [12, 1], [20, 1]], 241/3583180800], [[[1, 7], [3, 3], [12, 1], [24, 1]], 241/4299816960], [[[1, 7], [3, 3], [12, 1], [30, 1]], 241/5374771200], [[[1, 7], [3, 4], [4, 2], [7, 1]], 641/160526499840], [[[1, 7], [3, 4], [4, 2], [9, 1]], 1507/206391214080], [[[1, 7], [3, 4], [4, 3], [8, 1]], 641/733835427840], [[[1, 7], [3, 4], [5, 1], [7, 1]], 401/10450944000], [[[1, 7], [3, 4], [5, 1], [9, 1]], 947/13436928000], [[[1, 7], [3, 4], [6, 2], [7, 1]], 5/752467968], [[[1, 7], [3, 4], [6, 2], [9, 1]], 341/58047528960], [[[1, 7], [3, 4], [7, 1], [12, 1]], 5/125411328], [[[1, 7], [3, 4], [9, 1], [12, 1]], 341/9674588160], [[[1, 7], [3, 5], [4, 2], [5, 1]], 119/63700992000], [[[1, 7], [3, 5], [4, 2], [6, 2]], 179/550376570880], [[[1, 7], [3, 5], [4, 2], [12, 1]], 255901/111451255603200], [[[1, 7], [3, 5], [5, 1], [6, 2]], 337/107495424000], [[[1, 7], [3, 5], [5, 1], [12, 1]], 337/17915904000], [[[1, 7], [3, 5], [6, 1], [18, 1]], 2401/5224277606400], [[[1, 7], [3, 5], [6, 2], [12, 1]], 60091/27862813900800], [[[1, 7], [3, 6], [4, 1], [8, 1]], 13/309586821120], [[[1, 7], [4, 1], [5, 1], [8, 3]], 1/58982400], [[[1, 7], [4, 1], [5, 3], [8, 1]], 1/184320000], [[[1, 7], [4, 1], [7, 2], [8, 1]], 1/401408], [[[1, 7], [4, 1], [8, 1], [9, 2]], 1/5971968], [[[1, 7], [4, 2], [5, 2], [7, 1]], 1/619315200], [[[1, 7], [4, 2], [5, 2], [9, 1]], 1/2388787200], [[[1, 7], [4, 2], [6, 4], [7, 1]], 1/160526499840], [[[1, 7], [4, 2], [6, 4], [9, 1]], 1/619173642240], [[[1, 7], [4, 2], [7, 1], [8, 2]], 109/198180864], [[[1, 7], [4, 2], [7, 1], [10, 2]], 1/619315200], [[[1, 7], [4, 2], [7, 1], [12, 2]], 1/297271296], [[[1, 7], [4, 2], [7, 1], [15, 1]], 1/30965760], [[[1, 7], [4, 2], [7, 1], [20, 1]], 1/20643840], [[[1, 7], [4, 2], [7, 1], [24, 1]], 1/24772608], [[[1, 7], [4, 2], [7, 1], [30, 1]], 1/30965760], [[[1, 7], [4, 2], [8, 2], [9, 1]], 109/764411904], [[[1, 7], [4, 2], [9, 1], [10, 2]], 1/2388787200], [[[1, 7], [4, 2], [9, 1], [12, 2]], 1/1146617856], [[[1, 7], [4, 2], [9, 1], [15, 1]], 1/119439360], [[[1, 7], [4, 2], [9, 1], [20, 1]], 1/79626240], [[[1, 7], [4, 2], [9, 1], [24, 1]], 1/95551488], [[[1, 7], [4, 2], [9, 1], [30, 1]], 1/119439360], [[[1, 7], [4, 3], [5, 2], [8, 1]], 1/2831155200], [[[1, 7], [4, 3], [6, 4], [8, 1]], 1/733835427840], [[[1, 7], [4, 3], [8, 1], [10, 2]], 1/2831155200], [[[1, 7], [4, 3], [8, 1], [12, 2]], 1/1358954496], [[[1, 7], [4, 3], [8, 1], [15, 1]], 1/141557760], [[[1, 7], [4, 3], [8, 1], [20, 1]], 1/94371840], [[[1, 7], [4, 3], [8, 1], [24, 1]], 1/113246208], [[[1, 7], [4, 3], [8, 1], [30, 1]], 1/141557760], [[[1, 7], [4, 4], [5, 1], [7, 1]], 1/3096576000], [[[1, 7], [4, 4], [5, 1], [9, 1]], 1/11943936000], [[[1, 7], [4, 4], [7, 1], [12, 1]], 1/74317824], [[[1, 7], [4, 4], [9, 1], [12, 1]], 1/286654464], [[[1, 7], [4, 5], [5, 1], [8, 1]], 1/14155776000], [[[1, 7], [4, 5], [8, 1], [12, 1]], 1/339738624], [[[1, 7], [5, 1], [6, 4], [7, 1]], 1/10450944000], [[[1, 7], [5, 1], [6, 4], [9, 1]], 1/40310784000], [[[1, 7], [5, 1], [7, 1], [8, 2]], 1/12902400], [[[1, 7], [5, 1], [7, 1], [10, 2]], 1/40320000], [[[1, 7], [5, 1], [7, 1], [12, 2]], 1/19353600], [[[1, 7], [5, 1], [7, 1], [15, 1]], 1/2016000], [[[1, 7], [5, 1], [7, 1], [20, 1]], 1/1344000], [[[1, 7], [5, 1], [7, 1], [24, 1]], 1/1612800], [[[1, 7], [5, 1], [7, 1], [30, 1]], 1/2016000], [[[1, 7], [5, 1], [8, 2], [9, 1]], 1/49766400], [[[1, 7], [5, 1], [9, 1], [10, 2]], 1/155520000], [[[1, 7], [5, 1], [9, 1], [12, 2]], 1/74649600], [[[1, 7], [5, 1], [9, 1], [15, 1]], 1/7776000], [[[1, 7], [5, 1], [9, 1], [20, 1]], 1/5184000], [[[1, 7], [5, 1], [9, 1], [24, 1]], 1/6220800], [[[1, 7], [5, 1], [9, 1], [30, 1]], 1/7776000], [[[1, 8], [2, 1], [3, 1], [4, 7]], 60839/924632639078400], [[[1, 8], [2, 1], [3, 1], [6, 7]], 1/250765325107200], [[[1, 8], [2, 1], [3, 2], [4, 6]], 35533/66045188505600], [[[1, 8], [2, 1], [3, 2], [5, 3]], 4247/5598720000], [[[1, 8], [2, 1], [3, 2], [6, 6]], 179321/374476218826752000], [[[1, 8], [2, 1], [3, 2], [7, 2]], 1/903168], [[[1, 8], [2, 1], [3, 2], [8, 3]], 1/358318080], [[[1, 8], [2, 1], [3, 2], [9, 2]], 321107/2708884684800], [[[1, 8], [2, 1], [3, 2], [12, 3]], 179321/115579079884800], [[[1, 8], [2, 1], [3, 3], [4, 5]], 16097/3669177139200], [[[1, 8], [2, 1], [3, 3], [6, 5]], 67451/27862813900800], [[[1, 8], [2, 1], [3, 4], [4, 4]], 21396765371/9986032502046720000], [[[1, 8], [2, 1], [3, 4], [5, 2]], 33204328313/130026464870400000], [[[1, 8], [2, 1], [3, 4], [6, 4]], 58177323131/33702859694407680000], [[[1, 8], [2, 1], [3, 4], [8, 2]], 106624121/41608468758528000], [[[1, 8], [2, 1], [3, 4], [10, 2]], 106624121/130026464870400000], [[[1, 8], [2, 1], [3, 4], [12, 2]], 3977376791/62412703137792000], [[[1, 8], [2, 1], [3, 4], [15, 1]], 106624121/6501323243520000], [[[1, 8], [2, 1], [3, 4], [20, 1]], 106624121/4334215495680000], [[[1, 8], [2, 1], [3, 4], [24, 1]], 106624121/5201058594816000], [[[1, 8], [2, 1], [3, 4], [30, 1]], 106624121/6501323243520000], [[[1, 8], [2, 1], [3, 5], [4, 3]], 91391/148601674137600], [[[1, 8], [2, 1], [3, 5], [6, 3]], 521611/250765325107200], [[[1, 8], [2, 1], [3, 5], [7, 1]], 13219/1354442342400], [[[1, 8], [2, 1], [3, 5], [9, 1]], 5244923/433421549568000], [[[1, 8], [2, 1], [3, 5], [14, 1]], 343/386983526400], [[[1, 8], [2, 1], [3, 5], [18, 1]], 2401/3482851737600], [[[1, 8], [2, 1], [3, 6], [4, 2]], 32461/74300837068800], [[[1, 8], [2, 1], [3, 6], [5, 1]], 7/1511654400], [[[1, 8], [2, 1], [3, 6], [6, 2]], 82193107/124825406275584000], [[[1, 8], [2, 1], [3, 6], [8, 1]], 137/257989017600], [[[1, 8], [2, 1], [3, 6], [12, 1]], 82193107/20804234379264000], [[[1, 8], [2, 1], [3, 7], [4, 1]], 347/12383472844800], [[[1, 8], [2, 1], [3, 7], [6, 1]], 1874269/65013232435200], [[[1, 8], [2, 1], [4, 2], [5, 3]], 23/26542080000], [[[1, 8], [2, 1], [4, 2], [7, 2]], 5/19267584], [[[1, 8], [2, 1], [4, 2], [8, 3]], 563/13589544960], [[[1, 8], [2, 1], [4, 2], [9, 2]], 19/859963392], [[[1, 8], [2, 1], [4, 2], [12, 3]], 121/12383472844800], [[[1, 8], [2, 1], [4, 2], [28, 1]], 121/78033715200], [[[1, 8], [2, 1], [4, 2], [36, 1]], 121/300987187200], [[[1, 8], [2, 1], [4, 3], [6, 5]], 1/3302259425280], [[[1, 8], [2, 1], [4, 4], [5, 2]], 4229563/38526359961600000], [[[1, 8], [2, 1], [4, 4], [6, 4]], 1181371/9986032502046720000], [[[1, 8], [2, 1], [4, 4], [8, 2]], 338008411/12328435187712000], [[[1, 8], [2, 1], [4, 4], [10, 2]], 1181371/38526359961600000], [[[1, 8], [2, 1], [4, 4], [12, 2]], 1646011/18492652781568000], [[[1, 8], [2, 1], [4, 4], [15, 1]], 1181371/1926317998080000], [[[1, 8], [2, 1], [4, 4], [20, 1]], 35081/36691771392000], [[[1, 8], [2, 1], [4, 4], [24, 1]], 1181371/1541054398464000], [[[1, 8], [2, 1], [4, 4], [30, 1]], 1181371/1926317998080000], [[[1, 8], [2, 1], [4, 5], [7, 1]], 17/13212057600], [[[1, 8], [2, 1], [4, 5], [9, 1]], 17/50960793600], [[[1, 8], [2, 1], [4, 6], [5, 1]], 23/2038431744000], [[[1, 8], [2, 1], [4, 6], [8, 1]], 923/3261490790400], [[[1, 8], [2, 1], [4, 6], [12, 1]], 3546049/13869489586176000], [[[1, 8], [2, 1], [4, 7], [6, 1]], 1/978447237120], [[[1, 8], [2, 1], [5, 1], [7, 2]], 13/3763200], [[[1, 8], [2, 1], [5, 1], [8, 3]], 1/176947200], [[[1, 8], [2, 1], [5, 1], [9, 2]], 17/55987200], [[[1, 8], [2, 1], [5, 2], [6, 4]], 3048313/130026464870400000], [[[1, 8], [2, 1], [5, 2], [8, 2]], 3048313/160526499840000], [[[1, 8], [2, 1], [5, 2], [10, 2]], 440659/71663616000000], [[[1, 8], [2, 1], [5, 2], [12, 2]], 3048313/240789749760000], [[[1, 8], [2, 1], [5, 2], [15, 1]], 3048313/25082265600000], [[[1, 8], [2, 1], [5, 2], [20, 1]], 3048313/16721510400000], [[[1, 8], [2, 1], [5, 2], [24, 1]], 3048313/20065812480000], [[[1, 8], [2, 1], [5, 2], [30, 1]], 3048313/25082265600000], [[[1, 8], [2, 1], [5, 3], [8, 1]], 1/552960000], [[[1, 8], [2, 1], [6, 2], [12, 3]], 121/115579079884800], [[[1, 8], [2, 1], [6, 2], [18, 2]], 121/8126654054400], [[[1, 8], [2, 1], [6, 4], [8, 2]], 121/41608468758528000], [[[1, 8], [2, 1], [6, 4], [10, 2]], 121/130026464870400000], [[[1, 8], [2, 1], [6, 4], [12, 2]], 32791/62412703137792000], [[[1, 8], [2, 1], [6, 4], [15, 1]], 121/6501323243520000], [[[1, 8], [2, 1], [6, 4], [20, 1]], 121/4334215495680000], [[[1, 8], [2, 1], [6, 4], [24, 1]], 121/5201058594816000], [[[1, 8], [2, 1], [6, 4], [30, 1]], 121/6501323243520000], [[[1, 8], [2, 1], [6, 5], [18, 1]], 121/11702381838336000], [[[1, 8], [2, 1], [6, 6], [12, 1]], 121/62412703137792000], [[[1, 8], [2, 1], [7, 2], [8, 1]], 1/1204224], [[[1, 8], [2, 1], [8, 1], [9, 2]], 1/17915904], [[[1, 8], [2, 1], [8, 2], [10, 2]], 121/160526499840000], [[[1, 8], [2, 1], [8, 2], [12, 2]], 121/77052719923200], [[[1, 8], [2, 1], [8, 2], [15, 1]], 121/8026324992000], [[[1, 8], [2, 1], [8, 2], [20, 1]], 121/5350883328000], [[[1, 8], [2, 1], [8, 2], [24, 1]], 1331/2140353331200], [[[1, 8], [2, 1], [8, 2], [30, 1]], 121/8026324992000], [[[1, 8], [2, 1], [10, 2], [12, 2]], 121/240789749760000], [[[1, 8], [2, 1], [10, 2], [15, 1]], 121/25082265600000], [[[1, 8], [2, 1], [10, 2], [20, 1]], 121/16721510400000], [[[1, 8], [2, 1], [10, 2], [24, 1]], 121/20065812480000], [[[1, 8], [2, 1], [10, 2], [30, 1]], 121/25082265600000], [[[1, 8], [2, 1], [12, 1], [36, 1]], 121/150493593600], [[[1, 8], [2, 1], [12, 2], [15, 1]], 121/12039487488000], [[[1, 8], [2, 1], [12, 2], [20, 1]], 121/8026324992000], [[[1, 8], [2, 1], [12, 2], [24, 1]], 1573/9631589990400], [[[1, 8], [2, 1], [12, 2], [30, 1]], 121/12039487488000], [[[1, 8], [2, 1], [15, 1], [20, 1]], 121/836075520000], [[[1, 8], [2, 1], [15, 1], [24, 1]], 121/1003290624000], [[[1, 8], [2, 1], [15, 1], [30, 1]], 121/78382080000], [[[1, 8], [2, 1], [20, 1], [24, 1]], 121/668860416000], [[[1, 8], [2, 1], [20, 1], [30, 1]], 121/836075520000], [[[1, 8], [2, 1], [24, 1], [30, 1]], 121/1003290624000], [[[1, 8], [2, 3], [3, 1], [4, 6]], 899777/88060251340800], [[[1, 8], [2, 3], [3, 1], [5, 3]], 8717/5160960000], [[[1, 8], [2, 3], [3, 1], [6, 6]], 29261/702142910300160], [[[1, 8], [2, 3], [3, 1], [7, 2]], 1459/975421440], [[[1, 8], [2, 3], [3, 1], [8, 3]], 30281/642105999360], [[[1, 8], [2, 3], [3, 1], [9, 2]], 797/3762339840], [[[1, 8], [2, 3], [3, 1], [10, 3]], 113/89579520000], [[[1, 8], [2, 3], [3, 1], [12, 3]], 37/40131624960], [[[1, 8], [2, 3], [3, 1], [14, 2]], 13/325140480], [[[1, 8], [2, 3], [3, 1], [18, 2]], 113/4837294080], [[[1, 8], [2, 3], [3, 2], [4, 5]], 2380517/33022594252800], [[[1, 8], [2, 3], [3, 2], [6, 5]], 46532351/2311581597696000], [[[1, 8], [2, 3], [3, 3], [4, 4]], 33836749/346737239654400], [[[1, 8], [2, 3], [3, 3], [5, 2]], 5976259/4514807808000], [[[1, 8], [2, 3], [3, 3], [6, 4]], 217205749/1170238183833600], [[[1, 8], [2, 3], [3, 3], [8, 2]], 234187/1444738498560], [[[1, 8], [2, 3], [3, 3], [10, 2]], 13939/4514807808000], [[[1, 8], [2, 3], [3, 3], [12, 2]], 266173/2167107747840], [[[1, 8], [2, 3], [3, 3], [15, 1]], 13939/225740390400], [[[1, 8], [2, 3], [3, 3], [20, 1]], 13939/150493593600], [[[1, 8], [2, 3], [3, 3], [24, 1]], 13939/180592312320], [[[1, 8], [2, 3], [3, 3], [30, 1]], 13939/225740390400], [[[1, 8], [2, 3], [3, 4], [4, 3]], 166438771/2773897917235200], [[[1, 8], [2, 3], [3, 4], [6, 3]], 296969993231/1685142984720384000], [[[1, 8], [2, 3], [3, 4], [7, 1]], 16122779/50565847449600], [[[1, 8], [2, 3], [3, 4], [9, 1]], 32917/200658124800], [[[1, 8], [2, 3], [3, 4], [14, 1]], 657533621/6067901693952000], [[[1, 8], [2, 3], [3, 4], [18, 1]], 1759352621/23404763676672000], [[[1, 8], [2, 3], [3, 5], [4, 2]], 6224819/297203348275200], [[[1, 8], [2, 3], [3, 5], [5, 1]], 17390269/108355387392000], [[[1, 8], [2, 3], [3, 5], [6, 2]], 21048173/234047636766720], [[[1, 8], [2, 3], [3, 5], [8, 1]], 30812081/520105859481600], [[[1, 8], [2, 3], [3, 5], [10, 1]], 76913/23219011584000], [[[1, 8], [2, 3], [3, 5], [12, 1]], 749369/7223692492800], [[[1, 8], [2, 3], [3, 6], [4, 1]], 91333/12383472844800], [[[1, 8], [2, 3], [3, 6], [6, 1]], 472438469/20804234379264000], [[[1, 8], [2, 3], [4, 1], [5, 3]], 74143/111476736000], [[[1, 8], [2, 3], [4, 1], [6, 6]], 49/12383472844800], [[[1, 8], [2, 3], [4, 1], [7, 2]], 379/144506880], [[[1, 8], [2, 3], [4, 1], [8, 3]], 1569163/4892236185600], [[[1, 8], [2, 3], [4, 1], [9, 2]], 131/429981696], [[[1, 8], [2, 3], [4, 1], [10, 3]], 443/557383680000], [[[1, 8], [2, 3], [4, 1], [12, 3]], 13/13759414272], [[[1, 8], [2, 3], [4, 1], [14, 2]], 1/48168960], [[[1, 8], [2, 3], [4, 1], [18, 2]], 1/79626240], [[[1, 8], [2, 3], [4, 1], [28, 1]], 13/260112384], [[[1, 8], [2, 3], [4, 1], [36, 1]], 13/334430208], [[[1, 8], [2, 3], [4, 2], [6, 5]], 42127591/124825406275584000], [[[1, 8], [2, 3], [4, 3], [5, 2]], 2416787/10701766656000], [[[1, 8], [2, 3], [4, 3], [6, 4]], 990131/2773897917235200], [[[1, 8], [2, 3], [4, 3], [8, 2]], 492149/489223618560], [[[1, 8], [2, 3], [4, 3], [10, 2]], 43063/2140353331200], [[[1, 8], [2, 3], [4, 3], [12, 2]], 68021/733835427840], [[[1, 8], [2, 3], [4, 3], [15, 1]], 15731/535088332800], [[[1, 8], [2, 3], [4, 3], [16, 1]], 5231/17836277760], [[[1, 8], [2, 3], [4, 3], [20, 1]], 92467/356725555200], [[[1, 8], [2, 3], [4, 3], [24, 1]], 15731/428070666240], [[[1, 8], [2, 3], [4, 3], [30, 1]], 15731/535088332800], [[[1, 8], [2, 3], [4, 4], [6, 3]], 79098871/499301625102336000], [[[1, 8], [2, 3], [4, 4], [7, 1]], 2417689/14982473318400], [[[1, 8], [2, 3], [4, 4], [9, 1]], 237547/4815794995200], [[[1, 8], [2, 3], [4, 4], [14, 1]], 27153871/1797896798208000], [[[1, 8], [2, 3], [4, 4], [18, 1]], 79098871/6934744793088000], [[[1, 8], [2, 3], [4, 5], [5, 1]], 53057/1712282664960], [[[1, 8], [2, 3], [4, 5], [6, 2]], 4369/3669177139200], [[[1, 8], [2, 3], [4, 5], [8, 1]], 1174407991/8218956791808000], [[[1, 8], [2, 3], [4, 5], [10, 1]], 452153/42807066624000], [[[1, 8], [2, 3], [4, 5], [12, 1]], 343867/5136847994880], [[[1, 8], [2, 3], [4, 6], [6, 1]], 45576841/36985305563136000], [[[1, 8], [2, 3], [5, 1], [6, 5]], 1463/2579890176000], [[[1, 8], [2, 3], [5, 2], [6, 3]], 68378413/6501323243520000], [[[1, 8], [2, 3], [5, 2], [7, 1]], 701947/195084288000], [[[1, 8], [2, 3], [5, 2], [9, 1]], 88741/62705664000], [[[1, 8], [2, 3], [5, 2], [14, 1]], 24825013/23410114560000], [[[1, 8], [2, 3], [5, 2], [18, 1]], 68378413/90296156160000], [[[1, 8], [2, 3], [5, 3], [6, 1]], 23/9953280000], [[[1, 8], [2, 3], [6, 1], [7, 2]], 5/7225344], [[[1, 8], [2, 3], [6, 1], [8, 3]], 1567/42807066624], [[[1, 8], [2, 3], [6, 1], [9, 2]], 19/322486272], [[[1, 8], [2, 3], [6, 1], [10, 3]], 4021/50164531200000], [[[1, 8], [2, 3], [6, 1], [12, 3]], 11821/57789539942400], [[[1, 8], [2, 3], [6, 1], [18, 2]], 11821/8126654054400], [[[1, 8], [2, 3], [6, 3], [8, 2]], 1372621/2080423437926400], [[[1, 8], [2, 3], [6, 3], [10, 2]], 11821/6501323243520000], [[[1, 8], [2, 3], [6, 3], [12, 2]], 130031/624127031377920], [[[1, 8], [2, 3], [6, 3], [15, 1]], 11821/325066162176000], [[[1, 8], [2, 3], [6, 3], [20, 1]], 11821/216710774784000], [[[1, 8], [2, 3], [6, 3], [24, 1]], 11821/260052929740800], [[[1, 8], [2, 3], [6, 3], [30, 1]], 11821/325066162176000], [[[1, 8], [2, 3], [6, 4], [7, 1]], 50779/50565847449600], [[[1, 8], [2, 3], [6, 4], [9, 1]], 4237/16253308108800], [[[1, 8], [2, 3], [6, 4], [14, 1]], 4021/6067901693952000], [[[1, 8], [2, 3], [6, 4], [18, 1]], 484661/23404763676672000], [[[1, 8], [2, 3], [6, 5], [8, 1]], 11/6934744793088], [[[1, 8], [2, 3], [6, 5], [10, 1]], 4021/13002646487040000], [[[1, 8], [2, 3], [6, 5], [12, 1]], 130031/31206351568896000], [[[1, 8], [2, 3], [7, 1], [8, 2]], 53299/62426972160], [[[1, 8], [2, 3], [7, 1], [10, 2]], 379/195084288000], [[[1, 8], [2, 3], [7, 1], [12, 2]], 379/93640458240], [[[1, 8], [2, 3], [7, 1], [15, 1]], 379/9754214400], [[[1, 8], [2, 3], [7, 1], [20, 1]], 379/6502809600], [[[1, 8], [2, 3], [7, 1], [24, 1]], 379/7803371520], [[[1, 8], [2, 3], [7, 1], [30, 1]], 379/9754214400], [[[1, 8], [2, 3], [8, 2], [9, 1]], 5077/20065812480], [[[1, 8], [2, 3], [8, 2], [14, 1]], 457621/7491236659200], [[[1, 8], [2, 3], [8, 2], [18, 1]], 1372621/28894769971200], [[[1, 8], [2, 3], [9, 1], [10, 2]], 37/62705664000], [[[1, 8], [2, 3], [9, 1], [12, 2]], 37/30098718720], [[[1, 8], [2, 3], [9, 1], [15, 1]], 37/3135283200], [[[1, 8], [2, 3], [9, 1], [20, 1]], 37/2090188800], [[[1, 8], [2, 3], [9, 1], [24, 1]], 37/2508226560], [[[1, 8], [2, 3], [9, 1], [30, 1]], 37/3135283200], [[[1, 8], [2, 3], [10, 2], [14, 1]], 4021/23410114560000], [[[1, 8], [2, 3], [10, 2], [18, 1]], 11821/90296156160000], [[[1, 8], [2, 3], [12, 2], [14, 1]], 4021/11236854988800], [[[1, 8], [2, 3], [12, 2], [18, 1]], 11821/43342154956800], [[[1, 8], [2, 3], [14, 1], [15, 1]], 4021/1170505728000], [[[1, 8], [2, 3], [14, 1], [20, 1]], 4021/780337152000], [[[1, 8], [2, 3], [14, 1], [24, 1]], 4021/936404582400], [[[1, 8], [2, 3], [14, 1], [30, 1]], 4021/1170505728000], [[[1, 8], [2, 3], [15, 1], [18, 1]], 11821/4514807808000], [[[1, 8], [2, 3], [18, 1], [20, 1]], 11821/3009871872000], [[[1, 8], [2, 3], [18, 1], [24, 1]], 11821/3611846246400], [[[1, 8], [2, 3], [18, 1], [30, 1]], 11821/4514807808000], [[[1, 8], [2, 5], [3, 1], [4, 5]], 998272613/2054739197952000], [[[1, 8], [2, 5], [3, 1], [6, 5]], 1403700941/46809527353344000], [[[1, 8], [2, 5], [3, 2], [4, 4]], 517655173/792542262067200], [[[1, 8], [2, 5], [3, 2], [5, 2]], 12767923/10319560704000], [[[1, 8], [2, 5], [3, 2], [6, 4]], 398515919/780158789222400], [[[1, 8], [2, 5], [3, 2], [8, 2]], 1948771/3302259425280], [[[1, 8], [2, 5], [3, 2], [10, 2]], 1321003/10319560704000], [[[1, 8], [2, 5], [3, 2], [12, 2]], 149689/4953389137920], [[[1, 8], [2, 5], [3, 2], [15, 1]], 25003/515978035200], [[[1, 8], [2, 5], [3, 2], [20, 1]], 25003/343985356800], [[[1, 8], [2, 5], [3, 2], [24, 1]], 25003/412782428160], [[[1, 8], [2, 5], [3, 2], [30, 1]], 25003/515978035200], [[[1, 8], [2, 5], [3, 3], [4, 3]], 7833209/13209037701120], [[[1, 8], [2, 5], [3, 3], [6, 3]], 13399641869/4680952735334400], [[[1, 8], [2, 5], [3, 3], [7, 1]], 204559/481579499520], [[[1, 8], [2, 5], [3, 3], [9, 1]], 430363/1857520926720], [[[1, 8], [2, 5], [3, 3], [14, 1]], 279439/1123685498880], [[[1, 8], [2, 5], [3, 3], [18, 1]], 2068903/13002646487040], [[[1, 8], [2, 5], [3, 4], [4, 2]], 204332514833/570630428688384000], [[[1, 8], [2, 5], [3, 4], [5, 1]], 4337/12582912000], [[[1, 8], [2, 5], [3, 4], [6, 2]], 923168103611/561714328240128000], [[[1, 8], [2, 5], [3, 4], [8, 1]], 645779831/2773897917235200], [[[1, 8], [2, 5], [3, 4], [10, 1]], 26373078821/260052929740800000], [[[1, 8], [2, 5], [3, 4], [12, 1]], 785717/4953389137920], [[[1, 8], [2, 5], [3, 5], [4, 1]], 2426376889/20804234379264000], [[[1, 8], [2, 5], [3, 5], [6, 1]], 12641489741/46809527353344000], [[[1, 8], [2, 5], [4, 1], [6, 5]], 9906313/1386948958617600], [[[1, 8], [2, 5], [4, 2], [5, 2]], 3490237969/2201506283520000], [[[1, 8], [2, 5], [4, 2], [6, 4]], 173651310071/3994413000818688000], [[[1, 8], [2, 5], [4, 2], [8, 2]], 17695084459/4931374075084800], [[[1, 8], [2, 5], [4, 2], [10, 2]], 585933073/2201506283520000], [[[1, 8], [2, 5], [4, 2], [12, 2]], 95422993/1056723016089600], [[[1, 8], [2, 5], [4, 2], [15, 1]], 13308433/110075314176000], [[[1, 8], [2, 5], [4, 2], [16, 1]], 53/47185920], [[[1, 8], [2, 5], [4, 2], [20, 1]], 26994193/73383542784000], [[[1, 8], [2, 5], [4, 2], [24, 1]], 13308433/88060251340800], [[[1, 8], [2, 5], [4, 2], [30, 1]], 13308433/110075314176000], [[[1, 8], [2, 5], [4, 3], [6, 3]], 1847953/17336861982720], [[[1, 8], [2, 5], [4, 3], [7, 1]], 773/452984832], [[[1, 8], [2, 5], [4, 3], [9, 1]], 108281/183458856960], [[[1, 8], [2, 5], [4, 3], [14, 1]], 15809/49941577728], [[[1, 8], [2, 5], [4, 3], [18, 1]], 55351/240789749760], [[[1, 8], [2, 5], [4, 4], [5, 1]], 21332147/24461180928000], [[[1, 8], [2, 5], [4, 4], [6, 2]], 22871791471/166433875034112000], [[[1, 8], [2, 5], [4, 4], [8, 1]], 2335411081/821895679180800], [[[1, 8], [2, 5], [4, 4], [10, 1]], 19597931071/77052719923200000], [[[1, 8], [2, 5], [4, 4], [12, 1]], 268089073/264180754022400], [[[1, 8], [2, 5], [4, 5], [6, 1]], 9853429/58706834227200], [[[1, 8], [2, 5], [5, 1], [6, 4]], 2885857/82556485632000], [[[1, 8], [2, 5], [5, 1], [8, 2]], 120689/101921587200], [[[1, 8], [2, 5], [5, 1], [10, 2]], 128609/318504960000], [[[1, 8], [2, 5], [5, 1], [12, 2]], 737/152882380800], [[[1, 8], [2, 5], [5, 1], [15, 1]], 737/15925248000], [[[1, 8], [2, 5], [5, 1], [20, 1]], 737/10616832000], [[[1, 8], [2, 5], [5, 1], [24, 1]], 737/12740198400], [[[1, 8], [2, 5], [5, 1], [30, 1]], 737/15925248000], [[[1, 8], [2, 5], [5, 2], [6, 2]], 696293473/2167107747840000], [[[1, 8], [2, 5], [5, 2], [8, 1]], 15762583/10701766656000], [[[1, 8], [2, 5], [5, 2], [10, 1]], 3073675813/1003290624000000], [[[1, 8], [2, 5], [6, 2], [8, 2]], 112864081/693474479308800], [[[1, 8], [2, 5], [6, 2], [10, 2]], 44221657/2167107747840000], [[[1, 8], [2, 5], [6, 2], [12, 2]], 8029579/1040211718963200], [[[1, 8], [2, 5], [6, 2], [15, 1]], 870241/108355387392000], [[[1, 8], [2, 5], [6, 2], [20, 1]], 870241/72236924928000], [[[1, 8], [2, 5], [6, 2], [24, 1]], 870241/86684309913600], [[[1, 8], [2, 5], [6, 2], [30, 1]], 870241/108355387392000], [[[1, 8], [2, 5], [6, 3], [7, 1]], 1351669/10113169489920], [[[1, 8], [2, 5], [6, 3], [9, 1]], 102779/2600529297408], [[[1, 8], [2, 5], [6, 3], [14, 1]], 2862061/303395084697600], [[[1, 8], [2, 5], [6, 3], [18, 1]], 1969141/167176883404800], [[[1, 8], [2, 5], [6, 4], [8, 1]], 5840753/396271131033600], [[[1, 8], [2, 5], [6, 4], [10, 1]], 1236207221/260052929740800000], [[[1, 8], [2, 5], [6, 4], [12, 1]], 3947161/624127031377920], [[[1, 8], [2, 5], [7, 1], [9, 1]], 1423/6688604160], [[[1, 8], [2, 5], [7, 1], [14, 1]], 27451/36415733760], [[[1, 8], [2, 5], [7, 1], [18, 1]], 21109/140460687360], [[[1, 8], [2, 5], [8, 1], [10, 2]], 1102231/10701766656000], [[[1, 8], [2, 5], [8, 1], [12, 2]], 13591/5136847994880], [[[1, 8], [2, 5], [8, 1], [15, 1]], 13591/535088332800], [[[1, 8], [2, 5], [8, 1], [16, 1]], 11/94371840], [[[1, 8], [2, 5], [8, 1], [20, 1]], 13591/356725555200], [[[1, 8], [2, 5], [8, 1], [24, 1]], 13591/428070666240], [[[1, 8], [2, 5], [8, 1], [30, 1]], 13591/535088332800], [[[1, 8], [2, 5], [8, 2], [10, 1]], 93650821/321052999680000], [[[1, 8], [2, 5], [9, 1], [14, 1]], 1231/15606743040], [[[1, 8], [2, 5], [9, 1], [18, 1]], 34843/180592312320], [[[1, 8], [2, 5], [10, 1], [12, 2]], 662821/481579499520000], [[[1, 8], [2, 5], [10, 1], [15, 1]], 662821/50164531200000], [[[1, 8], [2, 5], [10, 1], [20, 1]], 662821/33443020800000], [[[1, 8], [2, 5], [10, 1], [24, 1]], 662821/40131624960000], [[[1, 8], [2, 5], [10, 1], [30, 1]], 662821/50164531200000], [[[1, 8], [2, 5], [14, 1], [18, 1]], 140461/4213820620800], [[[1, 8], [2, 7], [3, 1], [4, 4]], 39518347409/47552535724032000], [[[1, 8], [2, 7], [3, 1], [5, 2]], 1168405139/4334215495680000], [[[1, 8], [2, 7], [3, 1], [6, 4]], 187158460723/1123428656480256000], [[[1, 8], [2, 7], [3, 1], [8, 2]], 425866583/1386948958617600], [[[1, 8], [2, 7], [3, 1], [10, 2]], 676806419/4334215495680000], [[[1, 8], [2, 7], [3, 1], [12, 2]], 2139923/2080423437926400], [[[1, 8], [2, 7], [3, 1], [15, 1]], 2139923/216710774784000], [[[1, 8], [2, 7], [3, 1], [20, 1]], 2139923/144473849856000], [[[1, 8], [2, 7], [3, 1], [24, 1]], 2139923/173368619827200], [[[1, 8], [2, 7], [3, 1], [30, 1]], 2139923/216710774784000], [[[1, 8], [2, 7], [3, 2], [4, 3]], 51151327/66045188505600], [[[1, 8], [2, 7], [3, 2], [6, 3]], 863916625471/748952437653504000], [[[1, 8], [2, 7], [3, 2], [7, 1]], 5459/42138206208], [[[1, 8], [2, 7], [3, 2], [9, 1]], 31355663/390079394611200], [[[1, 8], [2, 7], [3, 2], [14, 1]], 6337/48157949952], [[[1, 8], [2, 7], [3, 2], [18, 1]], 17513/232190115840], [[[1, 8], [2, 7], [3, 3], [4, 2]], 1898796121/4160846875852800], [[[1, 8], [2, 7], [3, 3], [5, 1]], 37806359/216710774784000], [[[1, 8], [2, 7], [3, 3], [6, 2]], 2516696789/1783220089651200], [[[1, 8], [2, 7], [3, 3], [8, 1]], 288659/1651129712640], [[[1, 8], [2, 7], [3, 3], [10, 1]], 3104209/24078974976000], [[[1, 8], [2, 7], [3, 3], [12, 1]], 119002883/2080423437926400], [[[1, 8], [2, 7], [3, 4], [4, 1]], 7884078913/55477958344704000], [[[1, 8], [2, 7], [3, 4], [6, 1]], 18706981943471/67405719388815360000], [[[1, 8], [2, 7], [4, 1], [5, 2]], 41739403/71345111040000], [[[1, 8], [2, 7], [4, 1], [6, 4]], 4092931393/55477958344704000], [[[1, 8], [2, 7], [4, 1], [8, 2]], 24798911/22830435532800], [[[1, 8], [2, 7], [4, 1], [10, 2]], 7767961/23781703680000], [[[1, 8], [2, 7], [4, 1], [12, 2]], 81451/34245653299200], [[[1, 8], [2, 7], [4, 1], [15, 1]], 81451/3567255552000], [[[1, 8], [2, 7], [4, 1], [16, 1]], 49/339738624], [[[1, 8], [2, 7], [4, 1], [20, 1]], 81451/2378170368000], [[[1, 8], [2, 7], [4, 1], [24, 1]], 81451/2853804441600], [[[1, 8], [2, 7], [4, 1], [30, 1]], 81451/3567255552000], [[[1, 8], [2, 7], [4, 2], [6, 3]], 56472931243/199720650040934400], [[[1, 8], [2, 7], [4, 2], [7, 1]], 21938941/29964946636800], [[[1, 8], [2, 7], [4, 2], [9, 1]], 21938941/57789539942400], [[[1, 8], [2, 7], [4, 2], [14, 1]], 356426323/719158719283200], [[[1, 8], [2, 7], [4, 2], [18, 1]], 882960907/2773897917235200], [[[1, 8], [2, 7], [4, 3], [5, 1]], 93495727/85614133248000], [[[1, 8], [2, 7], [4, 3], [6, 2]], 16806841/30821087969280], [[[1, 8], [2, 7], [4, 3], [8, 1]], 12504573883/3287582716723200], [[[1, 8], [2, 7], [4, 3], [10, 1]], 4685909/5707608883200], [[[1, 8], [2, 7], [4, 3], [12, 1]], 37446847/51368479948800], [[[1, 8], [2, 7], [4, 4], [6, 1]], 13233459020071/19972065004093440000], [[[1, 8], [2, 7], [5, 1], [6, 3]], 1076057/10319560704000], [[[1, 8], [2, 7], [5, 1], [7, 1]], 27647/195084288000], [[[1, 8], [2, 7], [5, 1], [9, 1]], 240599/3009871872000], [[[1, 8], [2, 7], [5, 1], [14, 1]], 823/6193152000], [[[1, 8], [2, 7], [5, 1], [18, 1]], 11129/143327232000], [[[1, 8], [2, 7], [5, 2], [6, 1]], 60360934063/260052929740800000], [[[1, 8], [2, 7], [6, 1], [8, 2]], 20736152671/83216937517056000], [[[1, 8], [2, 7], [6, 1], [10, 2]], 29973868303/260052929740800000], [[[1, 8], [2, 7], [6, 1], [12, 2]], 101661871/124825406275584000], [[[1, 8], [2, 7], [6, 1], [15, 1]], 101661871/13002646487040000], [[[1, 8], [2, 7], [6, 1], [20, 1]], 101661871/8668430991360000], [[[1, 8], [2, 7], [6, 1], [24, 1]], 101661871/10402117189632000], [[[1, 8], [2, 7], [6, 1], [30, 1]], 101661871/13002646487040000], [[[1, 8], [2, 7], [6, 2], [7, 1]], 5459/42138206208], [[[1, 8], [2, 7], [6, 2], [9, 1]], 128837/2167107747840], [[[1, 8], [2, 7], [6, 2], [14, 1]], 5914771/101131694899200], [[[1, 8], [2, 7], [6, 2], [18, 1]], 1061891731/23404763676672000], [[[1, 8], [2, 7], [6, 3], [8, 1]], 7060229/69347447930880], [[[1, 8], [2, 7], [6, 3], [10, 1]], 948897931/13002646487040000], [[[1, 8], [2, 7], [6, 3], [12, 1]], 3942581311/124825406275584000], [[[1, 8], [2, 7], [7, 1], [8, 1]], 1781/11890851840], [[[1, 8], [2, 7], [7, 1], [10, 1]], 27647/195084288000], [[[1, 8], [2, 7], [8, 1], [9, 1]], 1781/22932357120], [[[1, 8], [2, 7], [8, 1], [14, 1]], 3187/31213486080], [[[1, 8], [2, 7], [8, 1], [18, 1]], 62897/963158999040], [[[1, 8], [2, 7], [9, 1], [10, 1]], 22417/334430208000], [[[1, 8], [2, 7], [10, 1], [14, 1]], 3397771/46820229120000], [[[1, 8], [2, 7], [10, 1], [18, 1]], 8867671/180592312320000], [[[1, 8], [2, 9], [3, 1], [4, 3]], 150340755401/665735500136448000], [[[1, 8], [2, 9], [3, 1], [6, 3]], 117462049931/1123428656480256000], [[[1, 8], [2, 9], [3, 1], [7, 1]], 66059089/6067901693952000], [[[1, 8], [2, 9], [3, 1], [9, 1]], 388827336971/52426670635745280000], [[[1, 8], [2, 9], [3, 1], [14, 1]], 230057251/12135803387904000], [[[1, 8], [2, 9], [3, 1], [18, 1]], 144460331/15603175784448000], [[[1, 8], [2, 9], [3, 2], [4, 2]], 144633915703/998603250204672000], [[[1, 8], [2, 9], [3, 2], [5, 1]], 6386687/260052929740800], [[[1, 8], [2, 9], [3, 2], [6, 2]], 46967570698739/186405940038205440000], [[[1, 8], [2, 9], [3, 2], [8, 1]], 172394809/5201058594816000], [[[1, 8], [2, 9], [3, 2], [10, 1]], 84109/2257403904000], [[[1, 8], [2, 9], [3, 2], [12, 1]], 1515912188171/279608910057308160000], [[[1, 8], [2, 9], [3, 3], [4, 1]], 7247527531/166433875034112000], [[[1, 8], [2, 9], [3, 3], [6, 1]], 27139236433/374476218826752000], [[[1, 8], [2, 9], [4, 1], [6, 3]], 2006833/27738979172352], [[[1, 8], [2, 9], [4, 1], [7, 1]], 20614051/599298932736000], [[[1, 8], [2, 9], [4, 1], [9, 1]], 7133773/330225942528000], [[[1, 8], [2, 9], [4, 1], [14, 1]], 81451/1664719257600], [[[1, 8], [2, 9], [4, 1], [18, 1]], 81451/3210529996800], [[[1, 8], [2, 9], [4, 2], [5, 1]], 5425111133/30821087969280000], [[[1, 8], [2, 9], [4, 2], [6, 2]], 201835481989/998603250204672000], [[[1, 8], [2, 9], [4, 2], [8, 1]], 20600999693/49313740750848000], [[[1, 8], [2, 9], [4, 2], [10, 1]], 7202643811/30821087969280000], [[[1, 8], [2, 9], [4, 2], [12, 1]], 2568331040971/69902227514327040000], [[[1, 8], [2, 9], [4, 3], [6, 1]], 2426565797/8876473335152640], [[[1, 8], [2, 9], [5, 1], [6, 2]], 1458641/36118462464000], [[[1, 8], [2, 9], [5, 1], [8, 1]], 20972851/642105999360000], [[[1, 8], [2, 9], [5, 1], [10, 1]], 194399/2229534720000], [[[1, 8], [2, 9], [6, 1], [7, 1]], 1652473/101131694899200], [[[1, 8], [2, 9], [6, 1], [9, 1]], 316033/32506616217600], [[[1, 8], [2, 9], [6, 1], [14, 1]], 230057251/12135803387904000], [[[1, 8], [2, 9], [6, 1], [18, 1]], 558402158891/52426670635745280000], [[[1, 8], [2, 9], [6, 2], [8, 1]], 8399659/173368619827200], [[[1, 8], [2, 9], [6, 2], [10, 1]], 180440971/3715041853440000], [[[1, 8], [2, 9], [6, 2], [12, 1]], 2194211475851/279608910057308160000], [[[1, 8], [2, 9], [8, 1], [10, 1]], 118577/2675441664000], [[[1, 8], [2, 11], [3, 1], [4, 2]], 2423190253/190210142896128000], [[[1, 8], [2, 11], [3, 1], [5, 1]], 58064311/53936903946240000], [[[1, 8], [2, 11], [3, 1], [6, 2]], 14303195593/1310666765893632000], [[[1, 8], [2, 11], [3, 1], [8, 1]], 4323155591/2330074250477568000], [[[1, 8], [2, 11], [3, 1], [10, 1]], 320371739/104021171896320000], [[[1, 8], [2, 11], [3, 1], [12, 1]], 6403391/48543213551616000], [[[1, 8], [2, 11], [3, 2], [4, 1]], 2079285377/499301625102336000], [[[1, 8], [2, 11], [3, 2], [6, 1]], 1591850010557/279608910057308160000], [[[1, 8], [2, 11], [4, 1], [5, 1]], 2659846541/647242847354880000], [[[1, 8], [2, 11], [4, 1], [6, 2]], 28879001/2219118333788160], [[[1, 8], [2, 11], [4, 1], [8, 1]], 972641989591/124270626692136960000], [[[1, 8], [2, 11], [4, 1], [10, 1]], 6409405109/647242847354880000], [[[1, 8], [2, 11], [4, 1], [12, 1]], 3805631/15533828336517120], [[[1, 8], [2, 11], [4, 2], [6, 1]], 12904146692951/559217820114616320000], [[[1, 8], [2, 11], [5, 1], [6, 1]], 27595117/11557907988480000], [[[1, 8], [2, 11], [6, 1], [8, 1]], 548090633/155338283365171200], [[[1, 8], [2, 11], [6, 1], [10, 1]], 291464106623/58251856261939200000], [[[1, 8], [2, 11], [6, 1], [12, 1]], 30257726071/139804455028654080000], [[[1, 8], [2, 13], [3, 1], [4, 1]], 15926174669/93202970019102720000], [[[1, 8], [2, 13], [3, 1], [6, 1]], 119181985973/629120047628943360000], [[[1, 8], [2, 13], [4, 1], [6, 1]], 2914312769/6213531334606848000], [[[1, 9], [2, 2], [3, 1], [4, 6]], 110627/123284351877120], [[[1, 9], [2, 2], [3, 1], [5, 3]], 4980481/10032906240000], [[[1, 9], [2, 2], [3, 1], [6, 6]], 4769/26748301344768000], [[[1, 9], [2, 2], [3, 1], [7, 2]], 127/325140480], [[[1, 9], [2, 2], [3, 1], [8, 3]], 12161/12842119987200], [[[1, 9], [2, 2], [3, 1], [9, 2]], 4841/128994508800], [[[1, 9], [2, 2], [3, 1], [10, 3]], 1/29859840000], [[[1, 9], [2, 2], [3, 1], [12, 3]], 203/2751882854400], [[[1, 9], [2, 2], [3, 1], [14, 2]], 1/975421440], [[[1, 9], [2, 2], [3, 1], [18, 2]], 1/1612431360], [[[1, 9], [2, 2], [3, 2], [4, 5]], 56329/11007531417600], [[[1, 9], [2, 2], [3, 2], [6, 5]], 19949/247669456896000], [[[1, 9], [2, 2], [3, 3], [4, 4]], 442994993/23776267862016000], [[[1, 9], [2, 2], [3, 3], [5, 2]], 125023499/309586821120000], [[[1, 9], [2, 2], [3, 3], [6, 4]], 1270589273/80244904034304000], [[[1, 9], [2, 2], [3, 3], [8, 2]], 1265003/99067782758400], [[[1, 9], [2, 2], [3, 3], [10, 2]], 172043/309586821120000], [[[1, 9], [2, 2], [3, 3], [12, 2]], 131045/5944066965504], [[[1, 9], [2, 2], [3, 3], [15, 1]], 172043/15479341056000], [[[1, 9], [2, 2], [3, 3], [20, 1]], 172043/10319560704000], [[[1, 9], [2, 2], [3, 3], [24, 1]], 172043/12383472844800], [[[1, 9], [2, 2], [3, 3], [30, 1]], 172043/15479341056000], [[[1, 9], [2, 2], [3, 4], [4, 3]], 2802884891/166433875034112000], [[[1, 9], [2, 2], [3, 4], [6, 3]], 1357555343/60183678025728000], [[[1, 9], [2, 2], [3, 4], [7, 1]], 657533621/6067901693952000], [[[1, 9], [2, 2], [3, 4], [9, 1]], 198961/4586471424000], [[[1, 9], [2, 2], [3, 4], [14, 1]], 57366461/3033950846976000], [[[1, 9], [2, 2], [3, 4], [18, 1]], 11713613/835884417024000], [[[1, 9], [2, 2], [3, 5], [4, 2]], 3963319/693474479308800], [[[1, 9], [2, 2], [3, 5], [5, 1]], 77577757/1444738498560000], [[[1, 9], [2, 2], [3, 5], [6, 2]], 99336953/8916100448256000], [[[1, 9], [2, 2], [3, 5], [8, 1]], 13043129/1155790798848000], [[[1, 9], [2, 2], [3, 5], [10, 1]], 2401/7739670528000], [[[1, 9], [2, 2], [3, 5], [12, 1]], 14395411/495338913792000], [[[1, 9], [2, 2], [3, 6], [4, 1]], 19343/12383472844800], [[[1, 9], [2, 2], [3, 6], [6, 1]], 3096277/743008370688000], [[[1, 9], [2, 2], [4, 1], [5, 3]], 619037/6688604160000], [[[1, 9], [2, 2], [4, 1], [7, 2]], 23/48168960], [[[1, 9], [2, 2], [4, 1], [8, 3]], 17621/1268357529600], [[[1, 9], [2, 2], [4, 1], [9, 2]], 1/26542080], [[[1, 9], [2, 2], [4, 1], [10, 3]], 121/33443020800000], [[[1, 9], [2, 2], [4, 1], [12, 3]], 121/4127824281600], [[[1, 9], [2, 2], [4, 1], [28, 1]], 121/78033715200], [[[1, 9], [2, 2], [4, 1], [36, 1]], 121/100329062400], [[[1, 9], [2, 2], [4, 2], [6, 5]], 48511/124825406275584000], [[[1, 9], [2, 2], [4, 3], [5, 2]], 11456923/642105999360000], [[[1, 9], [2, 2], [4, 3], [6, 4]], 3086491/166433875034112000], [[[1, 9], [2, 2], [4, 3], [8, 2]], 1675117/29353417113600], [[[1, 9], [2, 2], [4, 3], [10, 2]], 62491/642105999360000], [[[1, 9], [2, 2], [4, 3], [12, 2]], 3113/8806025134080], [[[1, 9], [2, 2], [4, 3], [15, 1]], 62491/32105299968000], [[[1, 9], [2, 2], [4, 3], [16, 1]], 121/1070176665600], [[[1, 9], [2, 2], [4, 3], [20, 1]], 14047/4280706662400], [[[1, 9], [2, 2], [4, 3], [24, 1]], 62491/25684239974400], [[[1, 9], [2, 2], [4, 3], [30, 1]], 62491/32105299968000], [[[1, 9], [2, 2], [4, 4], [6, 3]], 128263/17832200896512000], [[[1, 9], [2, 2], [4, 4], [7, 1]], 27153871/1797896798208000], [[[1, 9], [2, 2], [4, 4], [9, 1]], 1405553/330225942528000], [[[1, 9], [2, 2], [4, 4], [14, 1]], 614311/898948399104000], [[[1, 9], [2, 2], [4, 4], [18, 1]], 128263/247669456896000], [[[1, 9], [2, 2], [4, 5], [5, 1]], 2967043/2568423997440000], [[[1, 9], [2, 2], [4, 5], [8, 1]], 5518259/1174136684544000], [[[1, 9], [2, 2], [4, 5], [10, 1]], 1181371/2568423997440000], [[[1, 9], [2, 2], [4, 5], [12, 1]], 487787/308210879692800], [[[1, 9], [2, 2], [4, 6], [6, 1]], 2363761/36985305563136000], [[[1, 9], [2, 2], [5, 1], [6, 5]], 1/2579890176000], [[[1, 9], [2, 2], [5, 2], [6, 3]], 331789/232190115840000], [[[1, 9], [2, 2], [5, 2], [7, 1]], 24825013/23410114560000], [[[1, 9], [2, 2], [5, 2], [9, 1]], 1472459/4299816960000], [[[1, 9], [2, 2], [5, 2], [14, 1]], 1596733/11705057280000], [[[1, 9], [2, 2], [5, 2], [18, 1]], 331789/3224862720000], [[[1, 9], [2, 2], [5, 3], [6, 1]], 1/9953280000], [[[1, 9], [2, 2], [6, 1], [7, 2]], 1/21676032], [[[1, 9], [2, 2], [6, 1], [8, 3]], 121/12842119987200], [[[1, 9], [2, 2], [6, 1], [9, 2]], 1/322486272], [[[1, 9], [2, 2], [6, 1], [10, 3]], 61/25082265600000], [[[1, 9], [2, 2], [6, 1], [12, 3]], 13/2063912140800], [[[1, 9], [2, 2], [6, 1], [18, 2]], 13/290237644800], [[[1, 9], [2, 2], [6, 3], [8, 2]], 13/74300837068800], [[[1, 9], [2, 2], [6, 3], [10, 2]], 13/232190115840000], [[[1, 9], [2, 2], [6, 3], [12, 2]], 143/22290251120640], [[[1, 9], [2, 2], [6, 3], [15, 1]], 13/11609505792000], [[[1, 9], [2, 2], [6, 3], [20, 1]], 13/7739670528000], [[[1, 9], [2, 2], [6, 3], [24, 1]], 13/9287604633600], [[[1, 9], [2, 2], [6, 3], [30, 1]], 13/11609505792000], [[[1, 9], [2, 2], [6, 4], [7, 1]], 4021/6067901693952000], [[[1, 9], [2, 2], [6, 4], [9, 1]], 203/1114512556032000], [[[1, 9], [2, 2], [6, 4], [14, 1]], 61/3033950846976000], [[[1, 9], [2, 2], [6, 4], [18, 1]], 533/835884417024000], [[[1, 9], [2, 2], [6, 5], [8, 1]], 121/10402117189632000], [[[1, 9], [2, 2], [6, 5], [10, 1]], 61/6501323243520000], [[[1, 9], [2, 2], [6, 5], [12, 1]], 143/1114512556032000], [[[1, 9], [2, 2], [7, 1], [8, 2]], 457621/7491236659200], [[[1, 9], [2, 2], [7, 1], [10, 2]], 4021/23410114560000], [[[1, 9], [2, 2], [7, 1], [12, 2]], 4021/11236854988800], [[[1, 9], [2, 2], [7, 1], [15, 1]], 4021/1170505728000], [[[1, 9], [2, 2], [7, 1], [20, 1]], 4021/780337152000], [[[1, 9], [2, 2], [7, 1], [24, 1]], 4021/936404582400], [[[1, 9], [2, 2], [7, 1], [30, 1]], 4021/1170505728000], [[[1, 9], [2, 2], [8, 2], [9, 1]], 21803/1375941427200], [[[1, 9], [2, 2], [8, 2], [14, 1]], 61/3745618329600], [[[1, 9], [2, 2], [8, 2], [18, 1]], 13/1031956070400], [[[1, 9], [2, 2], [9, 1], [10, 2]], 203/4299816960000], [[[1, 9], [2, 2], [9, 1], [12, 2]], 203/2063912140800], [[[1, 9], [2, 2], [9, 1], [15, 1]], 203/214990848000], [[[1, 9], [2, 2], [9, 1], [20, 1]], 203/143327232000], [[[1, 9], [2, 2], [9, 1], [24, 1]], 203/171992678400], [[[1, 9], [2, 2], [9, 1], [30, 1]], 203/214990848000], [[[1, 9], [2, 2], [10, 2], [14, 1]], 61/11705057280000], [[[1, 9], [2, 2], [10, 2], [18, 1]], 13/3224862720000], [[[1, 9], [2, 2], [12, 2], [14, 1]], 61/5618427494400], [[[1, 9], [2, 2], [12, 2], [18, 1]], 13/1547934105600], [[[1, 9], [2, 2], [14, 1], [15, 1]], 61/585252864000], [[[1, 9], [2, 2], [14, 1], [20, 1]], 61/390168576000], [[[1, 9], [2, 2], [14, 1], [24, 1]], 61/468202291200], [[[1, 9], [2, 2], [14, 1], [30, 1]], 61/585252864000], [[[1, 9], [2, 2], [15, 1], [18, 1]], 13/161243136000], [[[1, 9], [2, 2], [18, 1], [20, 1]], 13/107495424000], [[[1, 9], [2, 2], [18, 1], [24, 1]], 13/128994508800], [[[1, 9], [2, 2], [18, 1], [30, 1]], 13/161243136000], [[[1, 9], [2, 4], [3, 1], [4, 5]], 1566463151/36985305563136000], [[[1, 9], [2, 4], [3, 1], [6, 5]], 2034799/3467372396544000], [[[1, 9], [2, 4], [3, 2], [4, 4]], 956335549/5547795834470400], [[[1, 9], [2, 4], [3, 2], [5, 2]], 51895603/72236924928000], [[[1, 9], [2, 4], [3, 2], [6, 4]], 46788911/780158789222400], [[[1, 9], [2, 4], [3, 2], [8, 2]], 3328723/23115815976960], [[[1, 9], [2, 4], [3, 2], [10, 2]], 1144459/72236924928000], [[[1, 9], [2, 4], [3, 2], [12, 2]], 319177/34673723965440], [[[1, 9], [2, 4], [3, 2], [15, 1]], 55819/3611846246400], [[[1, 9], [2, 4], [3, 2], [20, 1]], 55819/2407897497600], [[[1, 9], [2, 4], [3, 2], [24, 1]], 55819/2889476997120], [[[1, 9], [2, 4], [3, 2], [30, 1]], 55819/3611846246400], [[[1, 9], [2, 4], [3, 3], [4, 3]], 108569/481579499520], [[[1, 9], [2, 4], [3, 3], [6, 3]], 13216429343/28085716412006400], [[[1, 9], [2, 4], [3, 3], [7, 1]], 279439/1123685498880], [[[1, 9], [2, 4], [3, 3], [9, 1]], 199429/1857520926720], [[[1, 9], [2, 4], [3, 3], [14, 1]], 7895021/101131694899200], [[[1, 9], [2, 4], [3, 3], [18, 1]], 21276461/390079394611200], [[[1, 9], [2, 4], [3, 4], [4, 2]], 659371864163/3994413000818688000], [[[1, 9], [2, 4], [3, 4], [5, 1]], 119868037/577895399424000], [[[1, 9], [2, 4], [3, 4], [6, 2]], 278119703117/561714328240128000], [[[1, 9], [2, 4], [3, 4], [8, 1]], 8007450701/83216937517056000], [[[1, 9], [2, 4], [3, 4], [10, 1]], 9337992511/260052929740800000], [[[1, 9], [2, 4], [3, 4], [12, 1]], 2624549/34673723965440], [[[1, 9], [2, 4], [3, 5], [4, 1]], 872453789/13869489586176000], [[[1, 9], [2, 4], [3, 5], [6, 1]], 3925029991/31206351568896000], [[[1, 9], [2, 4], [4, 1], [6, 5]], 3893761/41608468758528000], [[[1, 9], [2, 4], [4, 2], [5, 2]], 7641667939/15410543984640000], [[[1, 9], [2, 4], [4, 2], [6, 4]], 13654778723/3994413000818688000], [[[1, 9], [2, 4], [4, 2], [8, 2]], 2021872711/4931374075084800], [[[1, 9], [2, 4], [4, 2], [10, 2]], 219610723/15410543984640000], [[[1, 9], [2, 4], [4, 2], [12, 2]], 70622563/7397061112627200], [[[1, 9], [2, 4], [4, 2], [15, 1]], 16708963/770527199232000], [[[1, 9], [2, 4], [4, 2], [16, 1]], 191/2972712960], [[[1, 9], [2, 4], [4, 2], [20, 1]], 25694563/513684799488000], [[[1, 9], [2, 4], [4, 2], [24, 1]], 16708963/616421759385600], [[[1, 9], [2, 4], [4, 2], [30, 1]], 16708963/770527199232000], [[[1, 9], [2, 4], [4, 3], [6, 3]], 98603671/8321693751705600], [[[1, 9], [2, 4], [4, 3], [7, 1]], 15809/49941577728], [[[1, 9], [2, 4], [4, 3], [9, 1]], 3949/40131624960], [[[1, 9], [2, 4], [4, 3], [14, 1]], 1006351/29964946636800], [[[1, 9], [2, 4], [4, 3], [18, 1]], 2894071/115579079884800], [[[1, 9], [2, 4], [4, 4], [5, 1]], 20179727/171228266496000], [[[1, 9], [2, 4], [4, 4], [6, 2]], 2816674657/166433875034112000], [[[1, 9], [2, 4], [4, 4], [8, 1]], 5803956931/24656870375424000], [[[1, 9], [2, 4], [4, 4], [10, 1]], 2100396461/77052719923200000], [[[1, 9], [2, 4], [4, 4], [12, 1]], 142796803/1849265278156800], [[[1, 9], [2, 4], [4, 5], [6, 1]], 16004759/1369826131968000], [[[1, 9], [2, 4], [5, 1], [6, 4]], 588839/192631799808000], [[[1, 9], [2, 4], [5, 1], [8, 2]], 206021/713451110400], [[[1, 9], [2, 4], [5, 1], [10, 2]], 73973/2229534720000], [[[1, 9], [2, 4], [5, 1], [12, 2]], 1397/1070176665600], [[[1, 9], [2, 4], [5, 1], [15, 1]], 1397/111476736000], [[[1, 9], [2, 4], [5, 1], [20, 1]], 1397/74317824000], [[[1, 9], [2, 4], [5, 1], [24, 1]], 1397/89181388800], [[[1, 9], [2, 4], [5, 1], [30, 1]], 1397/111476736000], [[[1, 9], [2, 4], [5, 2], [6, 2]], 214444231/2167107747840000], [[[1, 9], [2, 4], [5, 2], [8, 1]], 196165453/321052999680000], [[[1, 9], [2, 4], [5, 2], [10, 1]], 531461183/1003290624000000], [[[1, 9], [2, 4], [6, 2], [8, 2]], 7279927/693474479308800], [[[1, 9], [2, 4], [6, 2], [10, 2]], 189923/433421549568000], [[[1, 9], [2, 4], [6, 2], [12, 2]], 699613/1040211718963200], [[[1, 9], [2, 4], [6, 2], [15, 1]], 54727/108355387392000], [[[1, 9], [2, 4], [6, 2], [20, 1]], 54727/72236924928000], [[[1, 9], [2, 4], [6, 2], [24, 1]], 54727/86684309913600], [[[1, 9], [2, 4], [6, 2], [30, 1]], 54727/108355387392000], [[[1, 9], [2, 4], [6, 3], [7, 1]], 2862061/303395084697600], [[[1, 9], [2, 4], [6, 3], [9, 1]], 961901/390079394611200], [[[1, 9], [2, 4], [6, 3], [14, 1]], 2437/60679016939520], [[[1, 9], [2, 4], [6, 3], [18, 1]], 52027/167176883404800], [[[1, 9], [2, 4], [6, 4], [8, 1]], 8004461/83216937517056000], [[[1, 9], [2, 4], [6, 4], [10, 1]], 4933711/260052929740800000], [[[1, 9], [2, 4], [6, 4], [12, 1]], 47167/624127031377920], [[[1, 9], [2, 4], [7, 1], [9, 1]], 1231/15606743040], [[[1, 9], [2, 4], [7, 1], [14, 1]], 104101/1092472012800], [[[1, 9], [2, 4], [7, 1], [18, 1]], 140461/4213820620800], [[[1, 9], [2, 4], [8, 1], [10, 2]], 65101/321052999680000], [[[1, 9], [2, 4], [8, 1], [12, 2]], 65101/154105439846400], [[[1, 9], [2, 4], [8, 1], [15, 1]], 65101/16052649984000], [[[1, 9], [2, 4], [8, 1], [16, 1]], 13/1189085184], [[[1, 9], [2, 4], [8, 1], [20, 1]], 65101/10701766656000], [[[1, 9], [2, 4], [8, 1], [24, 1]], 65101/12842119987200], [[[1, 9], [2, 4], [8, 1], [30, 1]], 65101/16052649984000], [[[1, 9], [2, 4], [8, 2], [10, 1]], 6863711/321052999680000], [[[1, 9], [2, 4], [9, 1], [14, 1]], 19181/1404606873600], [[[1, 9], [2, 4], [9, 1], [18, 1]], 17843/773967052800], [[[1, 9], [2, 4], [10, 1], [12, 2]], 59711/481579499520000], [[[1, 9], [2, 4], [10, 1], [15, 1]], 59711/50164531200000], [[[1, 9], [2, 4], [10, 1], [20, 1]], 59711/33443020800000], [[[1, 9], [2, 4], [10, 1], [24, 1]], 59711/40131624960000], [[[1, 9], [2, 4], [10, 1], [30, 1]], 59711/50164531200000], [[[1, 9], [2, 4], [14, 1], [18, 1]], 2437/842764124160], [[[1, 9], [2, 6], [3, 1], [4, 4]], 4729555889/12328435187712000], [[[1, 9], [2, 6], [3, 1], [5, 2]], 14944879/53508833280000], [[[1, 9], [2, 6], [3, 1], [6, 4]], 4721482207/124825406275584000], [[[1, 9], [2, 6], [3, 1], [8, 2]], 7809889/51368479948800], [[[1, 9], [2, 6], [3, 1], [10, 2]], 7218317/160526499840000], [[[1, 9], [2, 6], [3, 1], [12, 2]], 14383/25684239974400], [[[1, 9], [2, 6], [3, 1], [15, 1]], 14383/2675441664000], [[[1, 9], [2, 6], [3, 1], [20, 1]], 14383/1783627776000], [[[1, 9], [2, 6], [3, 1], [24, 1]], 14383/2140353331200], [[[1, 9], [2, 6], [3, 1], [30, 1]], 14383/2675441664000], [[[1, 9], [2, 6], [3, 2], [4, 3]], 33084839/66045188505600], [[[1, 9], [2, 6], [3, 2], [6, 3]], 285801072787/748952437653504000], [[[1, 9], [2, 6], [3, 2], [7, 1]], 6337/48157949952], [[[1, 9], [2, 6], [3, 2], [9, 1]], 2774887/43342154956800], [[[1, 9], [2, 6], [3, 2], [14, 1]], 5771/84276412416], [[[1, 9], [2, 6], [3, 2], [18, 1]], 290441/6501323243520], [[[1, 9], [2, 6], [3, 3], [4, 2]], 4814738671/13314710002728960], [[[1, 9], [2, 6], [3, 3], [5, 1]], 1906163/10319560704000], [[[1, 9], [2, 6], [3, 3], [6, 2]], 28600912961/37447621882675200], [[[1, 9], [2, 6], [3, 3], [8, 1]], 613157/4623163195392], [[[1, 9], [2, 6], [3, 3], [10, 1]], 344993351/4334215495680000], [[[1, 9], [2, 6], [3, 3], [12, 1]], 10711207/231158159769600], [[[1, 9], [2, 6], [3, 4], [4, 1]], 438190240871/3328677500682240000], [[[1, 9], [2, 6], [3, 4], [6, 1]], 14969078037107/67405719388815360000], [[[1, 9], [2, 6], [4, 1], [5, 2]], 6399922663/12842119987200000], [[[1, 9], [2, 6], [4, 1], [6, 4]], 45970898471/3328677500682240000], [[[1, 9], [2, 6], [4, 1], [8, 2]], 1470938731/4109478395904000], [[[1, 9], [2, 6], [4, 1], [10, 2]], 862603303/12842119987200000], [[[1, 9], [2, 6], [4, 1], [12, 2]], 5952871/6164217593856000], [[[1, 9], [2, 6], [4, 1], [15, 1]], 5952871/642105999360000], [[[1, 9], [2, 6], [4, 1], [16, 1]], 11/283115520], [[[1, 9], [2, 6], [4, 1], [20, 1]], 5952871/428070666240000], [[[1, 9], [2, 6], [4, 1], [24, 1]], 5952871/513684799488000], [[[1, 9], [2, 6], [4, 1], [30, 1]], 5952871/642105999360000], [[[1, 9], [2, 6], [4, 2], [6, 3]], 1874480261/24965081255116800], [[[1, 9], [2, 6], [4, 2], [7, 1]], 356426323/719158719283200], [[[1, 9], [2, 6], [4, 2], [9, 1]], 36182959/184926527815680], [[[1, 9], [2, 6], [4, 2], [14, 1]], 54933997/359579359641600], [[[1, 9], [2, 6], [4, 2], [18, 1]], 37023257/346737239654400], [[[1, 9], [2, 6], [4, 3], [5, 1]], 81495817/146767085568000], [[[1, 9], [2, 6], [4, 3], [6, 2]], 440314969/2773897917235200], [[[1, 9], [2, 6], [4, 3], [8, 1]], 104941927/93930934763520], [[[1, 9], [2, 6], [4, 3], [10, 1]], 338763973/1712282664960000], [[[1, 9], [2, 6], [4, 3], [12, 1]], 709944097/3082108796928000], [[[1, 9], [2, 6], [4, 4], [6, 1]], 500036256301/2853152143441920000], [[[1, 9], [2, 6], [5, 1], [6, 3]], 548053/14447384985600], [[[1, 9], [2, 6], [5, 1], [7, 1]], 823/6193152000], [[[1, 9], [2, 6], [5, 1], [9, 1]], 8623/143327232000], [[[1, 9], [2, 6], [5, 1], [14, 1]], 1639/26011238400], [[[1, 9], [2, 6], [5, 1], [18, 1]], 8437/200658124800], [[[1, 9], [2, 6], [5, 2], [6, 1]], 6164643253/37150418534400000], [[[1, 9], [2, 6], [6, 1], [8, 2]], 5842141507/83216937517056000], [[[1, 9], [2, 6], [6, 1], [10, 2]], 3372923251/260052929740800000], [[[1, 9], [2, 6], [6, 1], [12, 2]], 4350901/17832200896512000], [[[1, 9], [2, 6], [6, 1], [15, 1]], 4350901/1857520926720000], [[[1, 9], [2, 6], [6, 1], [20, 1]], 4350901/1238347284480000], [[[1, 9], [2, 6], [6, 1], [24, 1]], 4350901/1486016741376000], [[[1, 9], [2, 6], [6, 1], [30, 1]], 4350901/1857520926720000], [[[1, 9], [2, 6], [6, 2], [7, 1]], 5914771/101131694899200], [[[1, 9], [2, 6], [6, 2], [9, 1]], 2551751/130026464870400], [[[1, 9], [2, 6], [6, 2], [14, 1]], 115621/12641461862400], [[[1, 9], [2, 6], [6, 2], [18, 1]], 190383307/23404763676672000], [[[1, 9], [2, 6], [6, 3], [8, 1]], 432565/23776267862016], [[[1, 9], [2, 6], [6, 3], [10, 1]], 49185127/6501323243520000], [[[1, 9], [2, 6], [6, 3], [12, 1]], 670164307/124825406275584000], [[[1, 9], [2, 6], [7, 1], [8, 1]], 3187/31213486080], [[[1, 9], [2, 6], [7, 1], [10, 1]], 3397771/46820229120000], [[[1, 9], [2, 6], [8, 1], [9, 1]], 4343/107017666560], [[[1, 9], [2, 6], [8, 1], [14, 1]], 472831/14982473318400], [[[1, 9], [2, 6], [8, 1], [18, 1]], 1288291/57789539942400], [[[1, 9], [2, 6], [9, 1], [10, 1]], 1574471/60197437440000], [[[1, 9], [2, 6], [10, 1], [14, 1]], 60211/3901685760000], [[[1, 9], [2, 6], [10, 1], [18, 1]], 1024087/90296156160000], [[[1, 9], [2, 8], [3, 1], [4, 3]], 2426565797/8876473335152640], [[[1, 9], [2, 8], [3, 1], [6, 3]], 27139236433/374476218826752000], [[[1, 9], [2, 8], [3, 1], [7, 1]], 230057251/12135803387904000], [[[1, 9], [2, 8], [3, 1], [9, 1]], 558402158891/52426670635745280000], [[[1, 9], [2, 8], [3, 1], [14, 1]], 1652473/101131694899200], [[[1, 9], [2, 8], [3, 1], [18, 1]], 316033/32506616217600], [[[1, 9], [2, 8], [3, 2], [4, 2]], 201835481989/998603250204672000], [[[1, 9], [2, 8], [3, 2], [5, 1]], 180440971/3715041853440000], [[[1, 9], [2, 8], [3, 2], [6, 2]], 46967570698739/186405940038205440000], [[[1, 9], [2, 8], [3, 2], [8, 1]], 8399659/173368619827200], [[[1, 9], [2, 8], [3, 2], [10, 1]], 1458641/36118462464000], [[[1, 9], [2, 8], [3, 2], [12, 1]], 2194211475851/279608910057308160000], [[[1, 9], [2, 8], [3, 3], [4, 1]], 2006833/27738979172352], [[[1, 9], [2, 8], [3, 3], [6, 1]], 117462049931/1123428656480256000], [[[1, 9], [2, 8], [4, 1], [6, 3]], 7247527531/166433875034112000], [[[1, 9], [2, 8], [4, 1], [7, 1]], 81451/1664719257600], [[[1, 9], [2, 8], [4, 1], [9, 1]], 81451/3210529996800], [[[1, 9], [2, 8], [4, 1], [14, 1]], 20614051/599298932736000], [[[1, 9], [2, 8], [4, 1], [18, 1]], 7133773/330225942528000], [[[1, 9], [2, 8], [4, 2], [5, 1]], 7202643811/30821087969280000], [[[1, 9], [2, 8], [4, 2], [6, 2]], 144633915703/998603250204672000], [[[1, 9], [2, 8], [4, 2], [8, 1]], 20600999693/49313740750848000], [[[1, 9], [2, 8], [4, 2], [10, 1]], 5425111133/30821087969280000], [[[1, 9], [2, 8], [4, 2], [12, 1]], 2568331040971/69902227514327040000], [[[1, 9], [2, 8], [4, 3], [6, 1]], 150340755401/665735500136448000], [[[1, 9], [2, 8], [5, 1], [6, 2]], 84109/2257403904000], [[[1, 9], [2, 8], [5, 1], [8, 1]], 118577/2675441664000], [[[1, 9], [2, 8], [5, 1], [10, 1]], 194399/2229534720000], [[[1, 9], [2, 8], [6, 1], [7, 1]], 230057251/12135803387904000], [[[1, 9], [2, 8], [6, 1], [9, 1]], 144460331/15603175784448000], [[[1, 9], [2, 8], [6, 1], [14, 1]], 66059089/6067901693952000], [[[1, 9], [2, 8], [6, 1], [18, 1]], 388827336971/52426670635745280000], [[[1, 9], [2, 8], [6, 2], [8, 1]], 172394809/5201058594816000], [[[1, 9], [2, 8], [6, 2], [10, 1]], 6386687/260052929740800], [[[1, 9], [2, 8], [6, 2], [12, 1]], 1515912188171/279608910057308160000], [[[1, 9], [2, 8], [8, 1], [10, 1]], 20972851/642105999360000], [[[1, 9], [2, 10], [3, 1], [4, 2]], 300911442589/9320297001910272000], [[[1, 9], [2, 10], [3, 1], [5, 1]], 224192938463/58251856261939200000], [[[1, 9], [2, 10], [3, 1], [6, 2]], 1725673481117/93202970019102720000], [[[1, 9], [2, 10], [3, 1], [8, 1]], 228402802211/46601485009551360000], [[[1, 9], [2, 10], [3, 1], [10, 1]], 63972961/11557907988480000], [[[1, 9], [2, 10], [3, 1], [12, 1]], 15035202071/46601485009551360000], [[[1, 9], [2, 10], [3, 2], [4, 1]], 2088055649/166433875034112000], [[[1, 9], [2, 10], [3, 2], [6, 1]], 1062564455177/69902227514327040000], [[[1, 9], [2, 10], [4, 1], [5, 1]], 437523239443/38834570841292800000], [[[1, 9], [2, 10], [4, 1], [6, 2]], 84604729/4755253572403200], [[[1, 9], [2, 10], [4, 1], [8, 1]], 2239995623501/124270626692136960000], [[[1, 9], [2, 10], [4, 1], [10, 1]], 576325731523/38834570841292800000], [[[1, 9], [2, 10], [4, 1], [12, 1]], 13132386571/23300742504775680000], [[[1, 9], [2, 10], [4, 2], [6, 1]], 21725071527911/559217820114616320000], [[[1, 9], [2, 10], [5, 1], [6, 1]], 6528379/1284211998720000], [[[1, 9], [2, 10], [6, 1], [8, 1]], 276874335251/46601485009551360000], [[[1, 9], [2, 10], [6, 1], [10, 1]], 179620706723/29125928130969600000], [[[1, 9], [2, 10], [6, 1], [12, 1]], 13132386571/34951113757163520000], [[[1, 9], [2, 12], [3, 1], [4, 1]], 405177429071/559217820114616320000], [[[1, 9], [2, 12], [3, 1], [6, 1]], 13508931353/19972065004093440000], [[[1, 9], [2, 12], [4, 1], [6, 1]], 242335736039/186405940038205440000], [[[1, 9], [3, 1], [4, 1], [8, 3]], 1/15288238080], [[[1, 9], [3, 1], [4, 4], [7, 1]], 193/114661785600], [[[1, 9], [3, 1], [4, 4], [9, 1]], 1560371/3467372396544000], [[[1, 9], [3, 1], [4, 5], [8, 1]], 1351/3669177139200], [[[1, 9], [3, 1], [5, 2], [7, 1]], 2593/10450944000], [[[1, 9], [3, 1], [5, 2], [9, 1]], 3049313/45148078080000], [[[1, 9], [3, 1], [6, 4], [7, 1]], 1/2708884684800], [[[1, 9], [3, 1], [6, 4], [9, 1]], 1121/11702381838336000], [[[1, 9], [3, 1], [7, 1], [8, 2]], 1/3344302080], [[[1, 9], [3, 1], [7, 1], [10, 2]], 1/10450944000], [[[1, 9], [3, 1], [7, 1], [12, 2]], 1/5016453120], [[[1, 9], [3, 1], [7, 1], [15, 1]], 1/522547200], [[[1, 9], [3, 1], [7, 1], [20, 1]], 1/348364800], [[[1, 9], [3, 1], [7, 1], [24, 1]], 1/418037760], [[[1, 9], [3, 1], [7, 1], [30, 1]], 1/522547200], [[[1, 9], [3, 1], [8, 2], [9, 1]], 1121/14447384985600], [[[1, 9], [3, 1], [9, 1], [10, 2]], 1121/45148078080000], [[[1, 9], [3, 1], [9, 1], [12, 2]], 1121/21671077478400], [[[1, 9], [3, 1], [9, 1], [15, 1]], 1121/2257403904000], [[[1, 9], [3, 1], [9, 1], [20, 1]], 1121/1504935936000], [[[1, 9], [3, 1], [9, 1], [24, 1]], 1121/1805923123200], [[[1, 9], [3, 1], [9, 1], [30, 1]], 1121/2257403904000], [[[1, 9], [3, 2], [4, 2], [5, 2]], 13627/859963392000], [[[1, 9], [3, 2], [4, 2], [6, 4]], 4069/222902511206400], [[[1, 9], [3, 2], [4, 2], [8, 2]], 1639/275188285440], [[[1, 9], [3, 2], [4, 2], [10, 2]], 19/859963392000], [[[1, 9], [3, 2], [4, 2], [12, 2]], 8237/9631589990400], [[[1, 9], [3, 2], [4, 2], [15, 1]], 19/42998169600], [[[1, 9], [3, 2], [4, 2], [20, 1]], 19/28665446400], [[[1, 9], [3, 2], [4, 2], [24, 1]], 19/34398535680], [[[1, 9], [3, 2], [4, 2], [30, 1]], 19/42998169600], [[[1, 9], [3, 2], [4, 4], [5, 1]], 2437/1719926784000], [[[1, 9], [3, 2], [4, 4], [6, 2]], 6099731/110955916689408000], [[[1, 9], [3, 2], [4, 4], [12, 1]], 1056059/2054739197952000], [[[1, 9], [3, 2], [5, 1], [6, 4]], 1627/5804752896000], [[[1, 9], [3, 2], [5, 1], [8, 2]], 7/7166361600], [[[1, 9], [3, 2], [5, 1], [10, 2]], 7/22394880000], [[[1, 9], [3, 2], [5, 1], [12, 2]], 23/2149908480], [[[1, 9], [3, 2], [5, 1], [15, 1]], 7/1119744000], [[[1, 9], [3, 2], [5, 1], [20, 1]], 7/746496000], [[[1, 9], [3, 2], [5, 1], [24, 1]], 7/895795200], [[[1, 9], [3, 2], [5, 1], [30, 1]], 7/1119744000], [[[1, 9], [3, 2], [5, 2], [6, 2]], 11761793/1444738498560000], [[[1, 9], [3, 2], [5, 2], [12, 1]], 11761793/240789749760000], [[[1, 9], [3, 2], [6, 2], [8, 2]], 4481/462316319539200], [[[1, 9], [3, 2], [6, 2], [10, 2]], 4481/1444738498560000], [[[1, 9], [3, 2], [6, 2], [12, 2]], 31511/693474479308800], [[[1, 9], [3, 2], [6, 2], [15, 1]], 4481/72236924928000], [[[1, 9], [3, 2], [6, 2], [20, 1]], 4481/48157949952000], [[[1, 9], [3, 2], [6, 2], [24, 1]], 4553/57789539942400], [[[1, 9], [3, 2], [6, 2], [30, 1]], 4481/72236924928000], [[[1, 9], [3, 2], [6, 3], [18, 1]], 4481/130026464870400], [[[1, 9], [3, 2], [6, 4], [12, 1]], 58253/8916100448256000], [[[1, 9], [3, 2], [7, 1], [9, 1]], 61/940584960], [[[1, 9], [3, 2], [8, 2], [12, 1]], 4481/77052719923200], [[[1, 9], [3, 2], [10, 2], [12, 1]], 4481/240789749760000], [[[1, 9], [3, 2], [12, 1], [15, 1]], 4481/12039487488000], [[[1, 9], [3, 2], [12, 1], [20, 1]], 4481/8026324992000], [[[1, 9], [3, 2], [12, 1], [24, 1]], 4481/9631589990400], [[[1, 9], [3, 2], [12, 1], [30, 1]], 4481/12039487488000], [[[1, 9], [3, 3], [4, 2], [7, 1]], 97/8026324992], [[[1, 9], [3, 3], [4, 2], [9, 1]], 523/154793410560], [[[1, 9], [3, 3], [4, 3], [8, 1]], 97/36691771392], [[[1, 9], [3, 3], [5, 1], [7, 1]], 61/522547200], [[[1, 9], [3, 3], [5, 1], [9, 1]], 17/503884800], [[[1, 9], [3, 3], [6, 2], [7, 1]], 241/30098718720], [[[1, 9], [3, 3], [6, 2], [9, 1]], 10163/4815794995200], [[[1, 9], [3, 3], [7, 1], [12, 1]], 241/5016453120], [[[1, 9], [3, 3], [9, 1], [12, 1]], 10163/802632499200], [[[1, 9], [3, 4], [4, 2], [5, 1]], 13147/2293235712000], [[[1, 9], [3, 4], [4, 2], [6, 2]], 989/2476694568960], [[[1, 9], [3, 4], [4, 2], [12, 1]], 45493001/15603175784448000], [[[1, 9], [3, 4], [5, 1], [6, 2]], 251/64497254400], [[[1, 9], [3, 4], [5, 1], [12, 1]], 251/10749542400], [[[1, 9], [3, 4], [6, 1], [18, 1]], 8108801/11702381838336000], [[[1, 9], [3, 4], [6, 2], [12, 1]], 15097613/8916100448256000], [[[1, 9], [3, 5], [4, 1], [8, 1]], 2401/12383472844800], [[[1, 9], [4, 2], [5, 1], [6, 4]], 1/6879707136000], [[[1, 9], [4, 2], [5, 1], [8, 2]], 109/8493465600], [[[1, 9], [4, 2], [5, 1], [10, 2]], 1/26542080000], [[[1, 9], [4, 2], [5, 1], [12, 2]], 1/12740198400], [[[1, 9], [4, 2], [5, 1], [15, 1]], 1/1327104000], [[[1, 9], [4, 2], [5, 1], [20, 1]], 1/884736000], [[[1, 9], [4, 2], [5, 1], [24, 1]], 1/1061683200], [[[1, 9], [4, 2], [5, 1], [30, 1]], 1/1327104000], [[[1, 9], [4, 2], [5, 2], [12, 1]], 145153/60197437440000], [[[1, 9], [4, 2], [6, 2], [12, 2]], 1/28894769971200], [[[1, 9], [4, 2], [6, 4], [12, 1]], 1/15603175784448000], [[[1, 9], [4, 2], [7, 1], [9, 1]], 1/111476736], [[[1, 9], [4, 2], [8, 1], [16, 1]], 1/356725555200], [[[1, 9], [4, 2], [8, 2], [12, 1]], 13/19263179980800], [[[1, 9], [4, 2], [10, 2], [12, 1]], 1/60197437440000], [[[1, 9], [4, 2], [12, 1], [15, 1]], 1/3009871872000], [[[1, 9], [4, 2], [12, 1], [20, 1]], 13/2006581248000], [[[1, 9], [4, 2], [12, 1], [24, 1]], 1/343985356800], [[[1, 9], [4, 2], [12, 1], [30, 1]], 1/3009871872000], [[[1, 9], [4, 3], [7, 1], [8, 1]], 1/132120576], [[[1, 9], [4, 3], [8, 1], [9, 1]], 1/509607936], [[[1, 9], [4, 4], [5, 1], [12, 1]], 1/3185049600], [[[1, 9], [4, 4], [6, 1], [18, 1]], 47251/3467372396544000], [[[1, 9], [4, 4], [6, 2], [12, 1]], 47251/18492652781568000], [[[1, 9], [5, 1], [7, 1], [9, 1]], 1/7257600], [[[1, 9], [5, 2], [6, 1], [18, 1]], 145153/45148078080000], [[[1, 9], [5, 2], [6, 2], [12, 1]], 145153/240789749760000], [[[1, 9], [6, 1], [8, 2], [18, 1]], 1/14447384985600], [[[1, 9], [6, 1], [10, 2], [18, 1]], 1/45148078080000], [[[1, 9], [6, 1], [12, 2], [18, 1]], 1/21671077478400], [[[1, 9], [6, 1], [15, 1], [18, 1]], 1/2257403904000], [[[1, 9], [6, 1], [18, 1], [20, 1]], 1/1504935936000], [[[1, 9], [6, 1], [18, 1], [24, 1]], 1/1805923123200], [[[1, 9], [6, 1], [18, 1], [30, 1]], 1/2257403904000], [[[1, 9], [6, 2], [8, 2], [12, 1]], 1/77052719923200], [[[1, 9], [6, 2], [10, 2], [12, 1]], 1/240789749760000], [[[1, 9], [6, 2], [12, 1], [15, 1]], 1/12039487488000], [[[1, 9], [6, 2], [12, 1], [20, 1]], 1/8026324992000], [[[1, 9], [6, 2], [12, 1], [24, 1]], 1/9631589990400], [[[1, 9], [6, 2], [12, 1], [30, 1]], 1/12039487488000], [[[1, 9], [6, 3], [12, 1], [18, 1]], 1/21671077478400], [[[1, 10], [2, 1], [3, 1], [4, 6]], 1184801/36985305563136000], [[[1, 10], [2, 1], [3, 1], [5, 3]], 319873/5016453120000], [[[1, 10], [2, 1], [3, 1], [6, 6]], 31/46809527353344000], [[[1, 10], [2, 1], [3, 1], [7, 2]], 13/325140480], [[[1, 10], [2, 1], [3, 1], [8, 3]], 281/12842119987200], [[[1, 10], [2, 1], [3, 1], [9, 2]], 2017/677221171200], [[[1, 10], [2, 1], [3, 1], [12, 3]], 31/14447384985600], [[[1, 10], [2, 1], [3, 2], [4, 5]], 229/733835427840], [[[1, 10], [2, 1], [3, 2], [6, 5]], 49291/62412703137792000], [[[1, 10], [2, 1], [3, 3], [4, 4]], 54683821/124825406275584000], [[[1, 10], [2, 1], [3, 3], [5, 2]], 93477583/1625330810880000], [[[1, 10], [2, 1], [3, 3], [6, 4]], 19602181/421285746180096000], [[[1, 10], [2, 1], [3, 3], [8, 2]], 72271/520105859481600], [[[1, 10], [2, 1], [3, 3], [10, 2]], 72271/1625330810880000], [[[1, 10], [2, 1], [3, 3], [12, 2]], 274853/156031757844480], [[[1, 10], [2, 1], [3, 3], [15, 1]], 72271/81266540544000], [[[1, 10], [2, 1], [3, 3], [20, 1]], 72271/54177693696000], [[[1, 10], [2, 1], [3, 3], [24, 1]], 72271/65013232435200], [[[1, 10], [2, 1], [3, 3], [30, 1]], 72271/81266540544000], [[[1, 10], [2, 1], [3, 4], [4, 3]], 302648291/166433875034112000], [[[1, 10], [2, 1], [3, 4], [6, 3]], 886279211/561714328240128000], [[[1, 10], [2, 1], [3, 4], [7, 1]], 57366461/3033950846976000], [[[1, 10], [2, 1], [3, 4], [9, 1]], 1319573/216710774784000], [[[1, 10], [2, 1], [3, 4], [14, 1]], 8108801/6067901693952000], [[[1, 10], [2, 1], [3, 4], [18, 1]], 8108801/7801587892224000], [[[1, 10], [2, 1], [3, 5], [4, 2]], 36774517/41608468758528000], [[[1, 10], [2, 1], [3, 5], [5, 1]], 20019031/2167107747840000], [[[1, 10], [2, 1], [3, 5], [6, 2]], 11153447/15603175784448000], [[[1, 10], [2, 1], [3, 5], [8, 1]], 2927027/3467372396544000], [[[1, 10], [2, 1], [3, 5], [12, 1]], 11153447/2600529297408000], [[[1, 10], [2, 1], [3, 6], [4, 1]], 107/825564856320], [[[1, 10], [2, 1], [3, 6], [6, 1]], 6288427/20804234379264000], [[[1, 10], [2, 1], [4, 1], [5, 3]], 29333/6688604160000], [[[1, 10], [2, 1], [4, 1], [7, 2]], 1/48168960], [[[1, 10], [2, 1], [4, 1], [8, 3]], 7/1630745395200], [[[1, 10], [2, 1], [4, 1], [9, 2]], 1/716636160], [[[1, 10], [2, 1], [4, 1], [10, 3]], 1/33443020800000], [[[1, 10], [2, 1], [4, 1], [12, 3]], 1/4127824281600], [[[1, 10], [2, 1], [4, 1], [28, 1]], 1/78033715200], [[[1, 10], [2, 1], [4, 1], [36, 1]], 1/100329062400], [[[1, 10], [2, 1], [4, 3], [5, 2]], 509923/642105999360000], [[[1, 10], [2, 1], [4, 3], [6, 4]], 1891/166433875034112000], [[[1, 10], [2, 1], [4, 3], [8, 2]], 45637/29353417113600], [[[1, 10], [2, 1], [4, 3], [10, 2]], 1891/642105999360000], [[[1, 10], [2, 1], [4, 3], [12, 2]], 13/1761205026816], [[[1, 10], [2, 1], [4, 3], [15, 1]], 1891/32105299968000], [[[1, 10], [2, 1], [4, 3], [16, 1]], 1/1070176665600], [[[1, 10], [2, 1], [4, 3], [20, 1]], 391/4280706662400], [[[1, 10], [2, 1], [4, 3], [24, 1]], 1891/25684239974400], [[[1, 10], [2, 1], [4, 3], [30, 1]], 1891/32105299968000], [[[1, 10], [2, 1], [4, 4], [6, 3]], 47251/166433875034112000], [[[1, 10], [2, 1], [4, 4], [7, 1]], 614311/898948399104000], [[[1, 10], [2, 1], [4, 4], [9, 1]], 330781/1733686198272000], [[[1, 10], [2, 1], [4, 4], [14, 1]], 47251/1797896798208000], [[[1, 10], [2, 1], [4, 4], [18, 1]], 47251/2311581597696000], [[[1, 10], [2, 1], [4, 5], [5, 1]], 124363/2568423997440000], [[[1, 10], [2, 1], [4, 5], [8, 1]], 1654073/8218956791808000], [[[1, 10], [2, 1], [4, 5], [10, 1]], 47251/2568423997440000], [[[1, 10], [2, 1], [4, 5], [12, 1]], 17027/308210879692800], [[[1, 10], [2, 1], [5, 2], [6, 3]], 145153/2167107747840000], [[[1, 10], [2, 1], [5, 2], [7, 1]], 1596733/11705057280000], [[[1, 10], [2, 1], [5, 2], [9, 1]], 870943/22574039040000], [[[1, 10], [2, 1], [5, 2], [14, 1]], 145153/23410114560000], [[[1, 10], [2, 1], [5, 2], [18, 1]], 145153/30098718720000], [[[1, 10], [2, 1], [6, 1], [8, 3]], 1/12842119987200], [[[1, 10], [2, 1], [6, 1], [10, 3]], 1/50164531200000], [[[1, 10], [2, 1], [6, 1], [12, 3]], 1/19263179980800], [[[1, 10], [2, 1], [6, 1], [18, 2]], 1/2708884684800], [[[1, 10], [2, 1], [6, 3], [8, 2]], 1/693474479308800], [[[1, 10], [2, 1], [6, 3], [10, 2]], 1/2167107747840000], [[[1, 10], [2, 1], [6, 3], [12, 2]], 11/208042343792640], [[[1, 10], [2, 1], [6, 3], [15, 1]], 1/108355387392000], [[[1, 10], [2, 1], [6, 3], [20, 1]], 1/72236924928000], [[[1, 10], [2, 1], [6, 3], [24, 1]], 1/86684309913600], [[[1, 10], [2, 1], [6, 3], [30, 1]], 1/108355387392000], [[[1, 10], [2, 1], [6, 4], [7, 1]], 61/3033950846976000], [[[1, 10], [2, 1], [6, 4], [9, 1]], 31/5851190919168000], [[[1, 10], [2, 1], [6, 4], [14, 1]], 1/6067901693952000], [[[1, 10], [2, 1], [6, 4], [18, 1]], 41/7801587892224000], [[[1, 10], [2, 1], [6, 5], [8, 1]], 1/10402117189632000], [[[1, 10], [2, 1], [6, 5], [10, 1]], 1/13002646487040000], [[[1, 10], [2, 1], [6, 5], [12, 1]], 11/10402117189632000], [[[1, 10], [2, 1], [7, 1], [8, 2]], 61/3745618329600], [[[1, 10], [2, 1], [7, 1], [10, 2]], 61/11705057280000], [[[1, 10], [2, 1], [7, 1], [12, 2]], 61/5618427494400], [[[1, 10], [2, 1], [7, 1], [15, 1]], 61/585252864000], [[[1, 10], [2, 1], [7, 1], [20, 1]], 61/390168576000], [[[1, 10], [2, 1], [7, 1], [24, 1]], 61/468202291200], [[[1, 10], [2, 1], [7, 1], [30, 1]], 61/585252864000], [[[1, 10], [2, 1], [8, 2], [9, 1]], 31/7223692492800], [[[1, 10], [2, 1], [8, 2], [14, 1]], 1/7491236659200], [[[1, 10], [2, 1], [8, 2], [18, 1]], 1/9631589990400], [[[1, 10], [2, 1], [9, 1], [10, 2]], 31/22574039040000], [[[1, 10], [2, 1], [9, 1], [12, 2]], 31/10835538739200], [[[1, 10], [2, 1], [9, 1], [15, 1]], 31/1128701952000], [[[1, 10], [2, 1], [9, 1], [20, 1]], 31/752467968000], [[[1, 10], [2, 1], [9, 1], [24, 1]], 31/902961561600], [[[1, 10], [2, 1], [9, 1], [30, 1]], 31/1128701952000], [[[1, 10], [2, 1], [10, 2], [14, 1]], 1/23410114560000], [[[1, 10], [2, 1], [10, 2], [18, 1]], 1/30098718720000], [[[1, 10], [2, 1], [12, 2], [14, 1]], 1/11236854988800], [[[1, 10], [2, 1], [12, 2], [18, 1]], 1/14447384985600], [[[1, 10], [2, 1], [14, 1], [15, 1]], 1/1170505728000], [[[1, 10], [2, 1], [14, 1], [20, 1]], 1/780337152000], [[[1, 10], [2, 1], [14, 1], [24, 1]], 1/936404582400], [[[1, 10], [2, 1], [14, 1], [30, 1]], 1/1170505728000], [[[1, 10], [2, 1], [15, 1], [18, 1]], 1/1504935936000], [[[1, 10], [2, 1], [18, 1], [20, 1]], 1/1003290624000], [[[1, 10], [2, 1], [18, 1], [24, 1]], 1/1203948748800], [[[1, 10], [2, 1], [18, 1], [30, 1]], 1/1504935936000], [[[1, 10], [2, 3], [3, 1], [4, 5]], 147220961/36985305563136000], [[[1, 10], [2, 3], [3, 1], [6, 5]], 23383/6241270313779200], [[[1, 10], [2, 3], [3, 2], [4, 4]], 1452407/82189567918080], [[[1, 10], [2, 3], [3, 2], [5, 2]], 17740199/80263249920000], [[[1, 10], [2, 3], [3, 2], [6, 4]], 4433203/4160846875852800], [[[1, 10], [2, 3], [3, 2], [8, 2]], 426179/25684239974400], [[[1, 10], [2, 3], [3, 2], [10, 2]], 407/3210529996800], [[[1, 10], [2, 3], [3, 2], [12, 2]], 54221/38526359961600], [[[1, 10], [2, 3], [3, 2], [15, 1]], 407/160526499840], [[[1, 10], [2, 3], [3, 2], [20, 1]], 407/107017666560], [[[1, 10], [2, 3], [3, 2], [24, 1]], 407/128421199872], [[[1, 10], [2, 3], [3, 2], [30, 1]], 407/160526499840], [[[1, 10], [2, 3], [3, 3], [4, 3]], 15434033/396271131033600], [[[1, 10], [2, 3], [3, 3], [6, 3]], 3448380289/84257149236019200], [[[1, 10], [2, 3], [3, 3], [7, 1]], 7895021/101131694899200], [[[1, 10], [2, 3], [3, 3], [9, 1]], 172271/6191736422400], [[[1, 10], [2, 3], [3, 3], [14, 1]], 3901987/303395084697600], [[[1, 10], [2, 3], [3, 3], [18, 1]], 11127793/1170238183833600], [[[1, 10], [2, 3], [3, 4], [4, 2]], 148035433/3804202857922560], [[[1, 10], [2, 3], [3, 4], [5, 1]], 1197753733/17336861982720000], [[[1, 10], [2, 3], [3, 4], [6, 2]], 2871309689/37447621882675200], [[[1, 10], [2, 3], [3, 4], [8, 1]], 253832501/11888133931008000], [[[1, 10], [2, 3], [3, 4], [10, 1]], 67217993/10402117189632000], [[[1, 10], [2, 3], [3, 4], [12, 1]], 2320219/115579079884800], [[[1, 10], [2, 3], [3, 5], [4, 1]], 787006937/41608468758528000], [[[1, 10], [2, 3], [3, 5], [6, 1]], 205014743/6241270313779200], [[[1, 10], [2, 3], [4, 1], [6, 5]], 2803/41608468758528000], [[[1, 10], [2, 3], [4, 2], [5, 2]], 190809863/2568423997440000], [[[1, 10], [2, 3], [4, 2], [6, 4]], 449357/19021014289612800], [[[1, 10], [2, 3], [4, 2], [8, 2]], 24922403/821895679180800], [[[1, 10], [2, 3], [4, 2], [10, 2]], 273671/2568423997440000], [[[1, 10], [2, 3], [4, 2], [12, 2]], 482759/1232843518771200], [[[1, 10], [2, 3], [4, 2], [15, 1]], 8159/5136847994880], [[[1, 10], [2, 3], [4, 2], [16, 1]], 121/178362777600], [[[1, 10], [2, 3], [4, 2], [20, 1]], 35777/12230590464000], [[[1, 10], [2, 3], [4, 2], [24, 1]], 8159/4109478395904], [[[1, 10], [2, 3], [4, 2], [30, 1]], 8159/5136847994880], [[[1, 10], [2, 3], [4, 3], [6, 3]], 184963/297203348275200], [[[1, 10], [2, 3], [4, 3], [7, 1]], 1006351/29964946636800], [[[1, 10], [2, 3], [4, 3], [9, 1]], 53873/5503765708800], [[[1, 10], [2, 3], [4, 3], [14, 1]], 32191/14982473318400], [[[1, 10], [2, 3], [4, 3], [18, 1]], 6763/4127824281600], [[[1, 10], [2, 3], [4, 4], [5, 1]], 2076443/244611809280000], [[[1, 10], [2, 3], [4, 4], [6, 2]], 12067723/11095591668940800], [[[1, 10], [2, 3], [4, 4], [8, 1]], 317220877/24656870375424000], [[[1, 10], [2, 3], [4, 4], [10, 1]], 29869/17612050268160], [[[1, 10], [2, 3], [4, 4], [12, 1]], 965483/308210879692800], [[[1, 10], [2, 3], [4, 5], [6, 1]], 3723191/4109478395904000], [[[1, 10], [2, 3], [5, 1], [6, 4]], 136231/5778953994240000], [[[1, 10], [2, 3], [5, 1], [8, 2]], 233671/7134511104000], [[[1, 10], [2, 3], [5, 1], [10, 2]], 1831/22295347200000], [[[1, 10], [2, 3], [5, 1], [12, 2]], 1831/10701766656000], [[[1, 10], [2, 3], [5, 1], [15, 1]], 1831/1114767360000], [[[1, 10], [2, 3], [5, 1], [20, 1]], 1831/743178240000], [[[1, 10], [2, 3], [5, 1], [24, 1]], 1831/891813888000], [[[1, 10], [2, 3], [5, 1], [30, 1]], 1831/1114767360000], [[[1, 10], [2, 3], [5, 2], [6, 2]], 1887049/144473849856000], [[[1, 10], [2, 3], [5, 2], [8, 1]], 5744533/45864714240000], [[[1, 10], [2, 3], [5, 2], [10, 1]], 1887049/40131624960000], [[[1, 10], [2, 3], [6, 2], [8, 2]], 4721/231158159769600], [[[1, 10], [2, 3], [6, 2], [10, 2]], 9221/722369249280000], [[[1, 10], [2, 3], [6, 2], [12, 2]], 1387/69347447930880], [[[1, 10], [2, 3], [6, 2], [15, 1]], 73/7223692492800], [[[1, 10], [2, 3], [6, 2], [20, 1]], 73/4815794995200], [[[1, 10], [2, 3], [6, 2], [24, 1]], 73/5778953994240], [[[1, 10], [2, 3], [6, 2], [30, 1]], 73/7223692492800], [[[1, 10], [2, 3], [6, 3], [7, 1]], 2437/60679016939520], [[[1, 10], [2, 3], [6, 3], [9, 1]], 12913/1170238183833600], [[[1, 10], [2, 3], [6, 3], [14, 1]], 367/303395084697600], [[[1, 10], [2, 3], [6, 3], [18, 1]], 73/11145125560320], [[[1, 10], [2, 3], [6, 4], [8, 1]], 8981/11888133931008000], [[[1, 10], [2, 3], [6, 4], [10, 1]], 1189/2080423437926400], [[[1, 10], [2, 3], [6, 4], [12, 1]], 73/41608468758528], [[[1, 10], [2, 3], [7, 1], [9, 1]], 19181/1404606873600], [[[1, 10], [2, 3], [7, 1], [14, 1]], 5837/1092472012800], [[[1, 10], [2, 3], [7, 1], [18, 1]], 2437/842764124160], [[[1, 10], [2, 3], [8, 1], [10, 2]], 661/45864714240000], [[[1, 10], [2, 3], [8, 1], [12, 2]], 661/22015062835200], [[[1, 10], [2, 3], [8, 1], [15, 1]], 661/2293235712000], [[[1, 10], [2, 3], [8, 1], [16, 1]], 121/356725555200], [[[1, 10], [2, 3], [8, 1], [20, 1]], 661/1528823808000], [[[1, 10], [2, 3], [8, 1], [24, 1]], 661/1834588569600], [[[1, 10], [2, 3], [8, 1], [30, 1]], 661/2293235712000], [[[1, 10], [2, 3], [8, 2], [10, 1]], 73/12842119987200], [[[1, 10], [2, 3], [9, 1], [14, 1]], 4387/4213820620800], [[[1, 10], [2, 3], [9, 1], [18, 1]], 19447/16253308108800], [[[1, 10], [2, 3], [10, 1], [12, 2]], 73/19263179980800], [[[1, 10], [2, 3], [10, 1], [15, 1]], 73/2006581248000], [[[1, 10], [2, 3], [10, 1], [20, 1]], 73/1337720832000], [[[1, 10], [2, 3], [10, 1], [24, 1]], 73/1605264998400], [[[1, 10], [2, 3], [10, 1], [30, 1]], 73/2006581248000], [[[1, 10], [2, 3], [14, 1], [18, 1]], 367/4213820620800], [[[1, 10], [2, 5], [3, 1], [4, 4]], 30842075711/443823666757632000], [[[1, 10], [2, 5], [3, 1], [5, 2]], 870858383/5778953994240000], [[[1, 10], [2, 5], [3, 1], [6, 4]], 1313045317/499301625102336000], [[[1, 10], [2, 5], [3, 1], [8, 2]], 67566263/1849265278156800], [[[1, 10], [2, 5], [3, 1], [10, 2]], 4034873/825564856320000], [[[1, 10], [2, 5], [3, 1], [12, 2]], 60473/396271131033600], [[[1, 10], [2, 5], [3, 1], [15, 1]], 60473/41278242816000], [[[1, 10], [2, 5], [3, 1], [20, 1]], 60473/27518828544000], [[[1, 10], [2, 5], [3, 1], [24, 1]], 60473/33022594252800], [[[1, 10], [2, 5], [3, 1], [30, 1]], 60473/41278242816000], [[[1, 10], [2, 5], [3, 2], [4, 3]], 73323599/462316319539200], [[[1, 10], [2, 5], [3, 2], [6, 3]], 7767009781/124825406275584000], [[[1, 10], [2, 5], [3, 2], [7, 1]], 5771/84276412416], [[[1, 10], [2, 5], [3, 2], [9, 1]], 58117/2140353331200], [[[1, 10], [2, 5], [3, 2], [14, 1]], 129953/6742112993280], [[[1, 10], [2, 5], [3, 2], [18, 1]], 117743/8668430991360], [[[1, 10], [2, 5], [3, 3], [4, 2]], 188715463/1248254062755840], [[[1, 10], [2, 5], [3, 3], [5, 1]], 1493171/14447384985600], [[[1, 10], [2, 5], [3, 3], [6, 2]], 18994675313/89874292518420480], [[[1, 10], [2, 5], [3, 3], [8, 1]], 73203971/1386948958617600], [[[1, 10], [2, 5], [3, 3], [10, 1]], 168750257/6501323243520000], [[[1, 10], [2, 5], [3, 3], [12, 1]], 18406597/924632639078400], [[[1, 10], [2, 5], [3, 4], [4, 1]], 31589616253/475525357240320000], [[[1, 10], [2, 5], [3, 4], [6, 1]], 51746791081/534966026895360000], [[[1, 10], [2, 5], [4, 1], [5, 2]], 412357309/1834588569600000], [[[1, 10], [2, 5], [4, 1], [6, 4]], 2414556971/3328677500682240000], [[[1, 10], [2, 5], [4, 1], [8, 2]], 34536313/587068342272000], [[[1, 10], [2, 5], [4, 1], [10, 2]], 6479869/1834588569600000], [[[1, 10], [2, 5], [4, 1], [12, 2]], 1235371/6164217593856000], [[[1, 10], [2, 5], [4, 1], [15, 1]], 1235371/642105999360000], [[[1, 10], [2, 5], [4, 1], [16, 1]], 13/3567255552], [[[1, 10], [2, 5], [4, 1], [20, 1]], 1235371/428070666240000], [[[1, 10], [2, 5], [4, 1], [24, 1]], 1235371/513684799488000], [[[1, 10], [2, 5], [4, 1], [30, 1]], 1235371/642105999360000], [[[1, 10], [2, 5], [4, 2], [6, 3]], 83329319/9510507144806400], [[[1, 10], [2, 5], [4, 2], [7, 1]], 54933997/359579359641600], [[[1, 10], [2, 5], [4, 2], [9, 1]], 895537/17336861982720], [[[1, 10], [2, 5], [4, 2], [14, 1]], 17932813/719158719283200], [[[1, 10], [2, 5], [4, 2], [18, 1]], 17116913/924632639078400], [[[1, 10], [2, 5], [4, 3], [5, 1]], 130441531/1027369598976000], [[[1, 10], [2, 5], [4, 3], [6, 2]], 69530551/2773897917235200], [[[1, 10], [2, 5], [4, 3], [8, 1]], 467155639/3287582716723200], [[[1, 10], [2, 5], [4, 3], [10, 1]], 142683619/5136847994880000], [[[1, 10], [2, 5], [4, 3], [12, 1]], 14394451/440301256704000], [[[1, 10], [2, 5], [4, 4], [6, 1]], 27455065667/1109559166894080000], [[[1, 10], [2, 5], [5, 1], [6, 3]], 1475101/288947699712000], [[[1, 10], [2, 5], [5, 1], [7, 1]], 1639/26011238400], [[[1, 10], [2, 5], [5, 1], [9, 1]], 187/8026324992], [[[1, 10], [2, 5], [5, 1], [14, 1]], 5267/346816512000], [[[1, 10], [2, 5], [5, 1], [18, 1]], 43741/4013162496000], [[[1, 10], [2, 5], [5, 2], [6, 1]], 855458351/14447384985600000], [[[1, 10], [2, 5], [6, 1], [8, 2]], 40290947/4623163195392000], [[[1, 10], [2, 5], [6, 1], [10, 2]], 9083951/14447384985600000], [[[1, 10], [2, 5], [6, 1], [12, 2]], 222767/6934744793088000], [[[1, 10], [2, 5], [6, 1], [15, 1]], 222767/722369249280000], [[[1, 10], [2, 5], [6, 1], [20, 1]], 222767/481579499520000], [[[1, 10], [2, 5], [6, 1], [24, 1]], 222767/577895399424000], [[[1, 10], [2, 5], [6, 1], [30, 1]], 222767/722369249280000], [[[1, 10], [2, 5], [6, 2], [7, 1]], 115621/12641461862400], [[[1, 10], [2, 5], [6, 2], [9, 1]], 517211/195039697305600], [[[1, 10], [2, 5], [6, 2], [14, 1]], 27911/50565847449600], [[[1, 10], [2, 5], [6, 2], [18, 1]], 773687/1300264648704000], [[[1, 10], [2, 5], [6, 3], [8, 1]], 2117489/2080423437926400], [[[1, 10], [2, 5], [6, 3], [10, 1]], 1765139/6501323243520000], [[[1, 10], [2, 5], [6, 3], [12, 1]], 2426447/6934744793088000], [[[1, 10], [2, 5], [7, 1], [8, 1]], 472831/14982473318400], [[[1, 10], [2, 5], [7, 1], [10, 1]], 60211/3901685760000], [[[1, 10], [2, 5], [8, 1], [9, 1]], 201011/19263179980800], [[[1, 10], [2, 5], [8, 1], [14, 1]], 2179/468202291200], [[[1, 10], [2, 5], [8, 1], [18, 1]], 19993/5778953994240], [[[1, 10], [2, 5], [9, 1], [10, 1]], 420977/90296156160000], [[[1, 10], [2, 5], [10, 1], [14, 1]], 641/487710720000], [[[1, 10], [2, 5], [10, 1], [18, 1]], 90479/90296156160000], [[[1, 10], [2, 7], [3, 1], [4, 3]], 2169579521/14794122225254400], [[[1, 10], [2, 7], [3, 1], [6, 3]], 7972994447/374476218826752000], [[[1, 10], [2, 7], [3, 1], [7, 1]], 1652473/101131694899200], [[[1, 10], [2, 7], [3, 1], [9, 1]], 1281266363/174755568785817600], [[[1, 10], [2, 7], [3, 1], [14, 1]], 79067/10787380789248], [[[1, 10], [2, 7], [3, 1], [18, 1]], 5083403/1040211718963200], [[[1, 10], [2, 7], [3, 2], [4, 2]], 9348642251/66573550013644800], [[[1, 10], [2, 7], [3, 2], [5, 1]], 9871207/216710774784000], [[[1, 10], [2, 7], [3, 2], [6, 2]], 3095125018631/27960891005730816000], [[[1, 10], [2, 7], [3, 2], [8, 1]], 1912313/57789539942400], [[[1, 10], [2, 7], [3, 2], [10, 1]], 255413/11557907988480], [[[1, 10], [2, 7], [3, 2], [12, 1]], 5067980987/932029700191027200], [[[1, 10], [2, 7], [3, 3], [4, 1]], 1112080937/18492652781568000], [[[1, 10], [2, 7], [3, 3], [6, 1]], 247292183407/3370285969440768000], [[[1, 10], [2, 7], [4, 1], [6, 3]], 115166059/10402117189632000], [[[1, 10], [2, 7], [4, 1], [7, 1]], 20614051/599298932736000], [[[1, 10], [2, 7], [4, 1], [9, 1]], 10839931/770527199232000], [[[1, 10], [2, 7], [4, 1], [14, 1]], 3594121/299649466368000], [[[1, 10], [2, 7], [4, 1], [18, 1]], 85241/10319560704000], [[[1, 10], [2, 7], [4, 2], [5, 1]], 1502543011/10273695989760000], [[[1, 10], [2, 7], [4, 2], [6, 2]], 5286709621/110955916689408000], [[[1, 10], [2, 7], [4, 2], [8, 1]], 7607659223/49313740750848000], [[[1, 10], [2, 7], [4, 2], [10, 1]], 254286043/4403012567040000], [[[1, 10], [2, 7], [4, 2], [12, 1]], 16111010603/1165037125238784000], [[[1, 10], [2, 7], [4, 3], [6, 1]], 52894754183/665735500136448000], [[[1, 10], [2, 7], [5, 1], [6, 2]], 1590133/96315899904000], [[[1, 10], [2, 7], [5, 1], [8, 1]], 211/7340032000], [[[1, 10], [2, 7], [5, 1], [10, 1]], 163309/4954521600000], [[[1, 10], [2, 7], [6, 1], [7, 1]], 66059089/6067901693952000], [[[1, 10], [2, 7], [6, 1], [9, 1]], 24128849/5851190919168000], [[[1, 10], [2, 7], [6, 1], [14, 1]], 34466113/12135803387904000], [[[1, 10], [2, 7], [6, 1], [18, 1]], 1875543679/873777843929088000], [[[1, 10], [2, 7], [6, 2], [8, 1]], 46316713/5201058594816000], [[[1, 10], [2, 7], [6, 2], [10, 1]], 116077993/26005292974080000], [[[1, 10], [2, 7], [6, 2], [12, 1]], 7216752391/4660148500955136000], [[[1, 10], [2, 7], [8, 1], [10, 1]], 6771587/642105999360000], [[[1, 10], [2, 9], [3, 1], [4, 2]], 21725071527911/559217820114616320000], [[[1, 10], [2, 9], [3, 1], [5, 1]], 179620706723/29125928130969600000], [[[1, 10], [2, 9], [3, 1], [6, 2]], 1062564455177/69902227514327040000], [[[1, 10], [2, 9], [3, 1], [8, 1]], 276874335251/46601485009551360000], [[[1, 10], [2, 9], [3, 1], [10, 1]], 6528379/1284211998720000], [[[1, 10], [2, 9], [3, 1], [12, 1]], 13132386571/34951113757163520000], [[[1, 10], [2, 9], [3, 2], [4, 1]], 84604729/4755253572403200], [[[1, 10], [2, 9], [3, 2], [6, 1]], 1725673481117/93202970019102720000], [[[1, 10], [2, 9], [4, 1], [5, 1]], 576325731523/38834570841292800000], [[[1, 10], [2, 9], [4, 1], [6, 2]], 2088055649/166433875034112000], [[[1, 10], [2, 9], [4, 1], [8, 1]], 2239995623501/124270626692136960000], [[[1, 10], [2, 9], [4, 1], [10, 1]], 437523239443/38834570841292800000], [[[1, 10], [2, 9], [4, 1], [12, 1]], 13132386571/23300742504775680000], [[[1, 10], [2, 9], [4, 2], [6, 1]], 300911442589/9320297001910272000], [[[1, 10], [2, 9], [5, 1], [6, 1]], 63972961/11557907988480000], [[[1, 10], [2, 9], [6, 1], [8, 1]], 228402802211/46601485009551360000], [[[1, 10], [2, 9], [6, 1], [10, 1]], 224192938463/58251856261939200000], [[[1, 10], [2, 9], [6, 1], [12, 1]], 15035202071/46601485009551360000], [[[1, 10], [2, 11], [3, 1], [4, 1]], 968259997001/559217820114616320000], [[[1, 10], [2, 11], [3, 1], [6, 1]], 309113603/223687128045846528], [[[1, 10], [2, 11], [4, 1], [6, 1]], 55335891347/26629420005457920000], [[[1, 11], [2, 2], [3, 1], [4, 5]], 2595889/12328435187712000], [[[1, 11], [2, 2], [3, 1], [6, 5]], 283/6241270313779200], [[[1, 11], [2, 2], [3, 2], [4, 4]], 56409131/55477958344704000], [[[1, 11], [2, 2], [3, 2], [5, 2]], 25997681/722369249280000], [[[1, 11], [2, 2], [3, 2], [6, 4]], 2441081/187238109413376000], [[[1, 11], [2, 2], [3, 2], [8, 2]], 178877/231158159769600], [[[1, 11], [2, 2], [3, 2], [10, 2]], 7481/722369249280000], [[[1, 11], [2, 2], [3, 2], [12, 2]], 35291/346737239654400], [[[1, 11], [2, 2], [3, 2], [15, 1]], 7481/36118462464000], [[[1, 11], [2, 2], [3, 2], [20, 1]], 7481/24078974976000], [[[1, 11], [2, 2], [3, 2], [24, 1]], 7481/28894769971200], [[[1, 11], [2, 2], [3, 2], [30, 1]], 7481/36118462464000], [[[1, 11], [2, 2], [3, 3], [4, 3]], 4874761/2080423437926400], [[[1, 11], [2, 2], [3, 3], [6, 3]], 51571549/84257149236019200], [[[1, 11], [2, 2], [3, 3], [7, 1]], 3901987/303395084697600], [[[1, 11], [2, 2], [3, 3], [9, 1]], 2713/687970713600], [[[1, 11], [2, 2], [3, 3], [14, 1]], 59161/60679016939520], [[[1, 11], [2, 2], [3, 3], [18, 1]], 873973/1170238183833600], [[[1, 11], [2, 2], [3, 4], [4, 2]], 1316407/328758271672320], [[[1, 11], [2, 2], [3, 4], [5, 1]], 1629421/128421199872000], [[[1, 11], [2, 2], [3, 4], [6, 2]], 330924401/62412703137792000], [[[1, 11], [2, 2], [3, 4], [8, 1]], 22392263/9246326390784000], [[[1, 11], [2, 2], [3, 4], [10, 1]], 8108801/17336861982720000], [[[1, 11], [2, 2], [3, 4], [12, 1]], 334357/115579079884800], [[[1, 11], [2, 2], [3, 5], [4, 1]], 41619773/13869489586176000], [[[1, 11], [2, 2], [3, 5], [6, 1]], 28416923/6241270313779200], [[[1, 11], [2, 2], [4, 1], [6, 5]], 127/124825406275584000], [[[1, 11], [2, 2], [4, 2], [5, 2]], 15392143/2568423997440000], [[[1, 11], [2, 2], [4, 2], [6, 4]], 1091/133147100027289600], [[[1, 11], [2, 2], [4, 2], [8, 2]], 743563/821895679180800], [[[1, 11], [2, 2], [4, 2], [10, 2]], 6031/2568423997440000], [[[1, 11], [2, 2], [4, 2], [12, 2]], 7759/1232843518771200], [[[1, 11], [2, 2], [4, 2], [15, 1]], 1091/25684239974400], [[[1, 11], [2, 2], [4, 2], [16, 1]], 1/178362777600], [[[1, 11], [2, 2], [4, 2], [20, 1]], 5839/85614133248000], [[[1, 11], [2, 2], [4, 2], [24, 1]], 1091/20547391979520], [[[1, 11], [2, 2], [4, 2], [30, 1]], 1091/25684239974400], [[[1, 11], [2, 2], [4, 3], [6, 3]], 1891/2773897917235200], [[[1, 11], [2, 2], [4, 3], [7, 1]], 32191/14982473318400], [[[1, 11], [2, 2], [4, 3], [9, 1]], 17041/28894769971200], [[[1, 11], [2, 2], [4, 3], [14, 1]], 1891/29964946636800], [[[1, 11], [2, 2], [4, 3], [18, 1]], 1891/38526359961600], [[[1, 11], [2, 2], [4, 4], [5, 1]], 1675951/3082108796928000], [[[1, 11], [2, 2], [4, 4], [6, 2]], 803251/18492652781568000], [[[1, 11], [2, 2], [4, 4], [8, 1]], 16128577/24656870375424000], [[[1, 11], [2, 2], [4, 4], [10, 1]], 274171/5136847994880000], [[[1, 11], [2, 2], [4, 4], [12, 1]], 28243/308210879692800], [[[1, 11], [2, 2], [4, 5], [6, 1]], 1464877/36985305563136000], [[[1, 11], [2, 2], [5, 1], [6, 4]], 41/2080423437926400], [[[1, 11], [2, 2], [5, 1], [8, 2]], 18349/12842119987200], [[[1, 11], [2, 2], [5, 1], [10, 2]], 41/8026324992000], [[[1, 11], [2, 2], [5, 1], [12, 2]], 41/3852635996160], [[[1, 11], [2, 2], [5, 1], [15, 1]], 41/401316249600], [[[1, 11], [2, 2], [5, 1], [20, 1]], 41/267544166400], [[[1, 11], [2, 2], [5, 1], [24, 1]], 41/321052999680], [[[1, 11], [2, 2], [5, 1], [30, 1]], 41/401316249600], [[[1, 11], [2, 2], [5, 2], [6, 2]], 145153/240789749760000], [[[1, 11], [2, 2], [5, 2], [8, 1]], 3919231/321052999680000], [[[1, 11], [2, 2], [5, 2], [10, 1]], 145153/66886041600000], [[[1, 11], [2, 2], [6, 2], [8, 2]], 13/77052719923200], [[[1, 11], [2, 2], [6, 2], [10, 2]], 1/9631589990400], [[[1, 11], [2, 2], [6, 2], [12, 2]], 19/115579079884800], [[[1, 11], [2, 2], [6, 2], [15, 1]], 1/12039487488000], [[[1, 11], [2, 2], [6, 2], [20, 1]], 1/8026324992000], [[[1, 11], [2, 2], [6, 2], [24, 1]], 1/9631589990400], [[[1, 11], [2, 2], [6, 2], [30, 1]], 1/12039487488000], [[[1, 11], [2, 2], [6, 3], [7, 1]], 367/303395084697600], [[[1, 11], [2, 2], [6, 3], [9, 1]], 373/1170238183833600], [[[1, 11], [2, 2], [6, 3], [14, 1]], 1/101131694899200], [[[1, 11], [2, 2], [6, 3], [18, 1]], 1/18575209267200], [[[1, 11], [2, 2], [6, 4], [8, 1]], 607/83216937517056000], [[[1, 11], [2, 2], [6, 4], [10, 1]], 1/214035333120000], [[[1, 11], [2, 2], [6, 4], [12, 1]], 1/69347447930880], [[[1, 11], [2, 2], [7, 1], [9, 1]], 4387/4213820620800], [[[1, 11], [2, 2], [7, 1], [14, 1]], 137/1092472012800], [[[1, 11], [2, 2], [7, 1], [18, 1]], 367/4213820620800], [[[1, 11], [2, 2], [8, 1], [10, 2]], 127/321052999680000], [[[1, 11], [2, 2], [8, 1], [12, 2]], 127/154105439846400], [[[1, 11], [2, 2], [8, 1], [15, 1]], 127/16052649984000], [[[1, 11], [2, 2], [8, 1], [16, 1]], 1/356725555200], [[[1, 11], [2, 2], [8, 1], [20, 1]], 127/10701766656000], [[[1, 11], [2, 2], [8, 1], [24, 1]], 127/12842119987200], [[[1, 11], [2, 2], [8, 1], [30, 1]], 127/16052649984000], [[[1, 11], [2, 2], [8, 2], [10, 1]], 1/21403533312000], [[[1, 11], [2, 2], [9, 1], [14, 1]], 5/168552824832], [[[1, 11], [2, 2], [9, 1], [18, 1]], 61/2321901158400], [[[1, 11], [2, 2], [10, 1], [12, 2]], 1/32105299968000], [[[1, 11], [2, 2], [10, 1], [15, 1]], 1/3344302080000], [[[1, 11], [2, 2], [10, 1], [20, 1]], 1/2229534720000], [[[1, 11], [2, 2], [10, 1], [24, 1]], 1/2675441664000], [[[1, 11], [2, 2], [10, 1], [30, 1]], 1/3344302080000], [[[1, 11], [2, 2], [14, 1], [18, 1]], 1/1404606873600], [[[1, 11], [2, 4], [3, 1], [4, 4]], 3289393307/443823666757632000], [[[1, 11], [2, 4], [3, 1], [5, 2]], 37143389/825564856320000], [[[1, 11], [2, 4], [3, 1], [6, 4]], 20600569/499301625102336000], [[[1, 11], [2, 4], [3, 1], [8, 2]], 8418371/1849265278156800], [[[1, 11], [2, 4], [3, 1], [10, 2]], 787307/5778953994240000], [[[1, 11], [2, 4], [3, 1], [12, 2]], 61547/2773897917235200], [[[1, 11], [2, 4], [3, 1], [15, 1]], 61547/288947699712000], [[[1, 11], [2, 4], [3, 1], [20, 1]], 61547/192631799808000], [[[1, 11], [2, 4], [3, 1], [24, 1]], 61547/231158159769600], [[[1, 11], [2, 4], [3, 1], [30, 1]], 61547/288947699712000], [[[1, 11], [2, 4], [3, 2], [4, 3]], 2470403/102736959897600], [[[1, 11], [2, 4], [3, 2], [6, 3]], 44265241/10699320537907200], [[[1, 11], [2, 4], [3, 2], [7, 1]], 129953/6742112993280], [[[1, 11], [2, 4], [3, 2], [9, 1]], 377023/57789539942400], [[[1, 11], [2, 4], [3, 2], [14, 1]], 6191/2106910310400], [[[1, 11], [2, 4], [3, 2], [18, 1]], 141103/65013232435200], [[[1, 11], [2, 4], [3, 3], [4, 2]], 6623858593/199720650040934400], [[[1, 11], [2, 4], [3, 3], [5, 1]], 3164809/96315899904000], [[[1, 11], [2, 4], [3, 3], [6, 2]], 1986282463/64195923227443200], [[[1, 11], [2, 4], [3, 3], [8, 1]], 24316031/2080423437926400], [[[1, 11], [2, 4], [3, 3], [10, 1]], 28545553/6501323243520000], [[[1, 11], [2, 4], [3, 3], [12, 1]], 4462729/924632639078400], [[[1, 11], [2, 4], [3, 4], [4, 1]], 2104932491/110955916689408000], [[[1, 11], [2, 4], [3, 4], [6, 1]], 5950961693/249650812551168000], [[[1, 11], [2, 4], [4, 1], [5, 2]], 212932099/3852635996160000], [[[1, 11], [2, 4], [4, 1], [6, 4]], 4094819/998603250204672000], [[[1, 11], [2, 4], [4, 1], [8, 2]], 6570631/1232843518771200], [[[1, 11], [2, 4], [4, 1], [10, 2]], 143299/3852635996160000], [[[1, 11], [2, 4], [4, 1], [12, 2]], 38179/1849265278156800], [[[1, 11], [2, 4], [4, 1], [15, 1]], 38179/192631799808000], [[[1, 11], [2, 4], [4, 1], [16, 1]], 121/1070176665600], [[[1, 11], [2, 4], [4, 1], [20, 1]], 38179/128421199872000], [[[1, 11], [2, 4], [4, 1], [24, 1]], 38179/154105439846400], [[[1, 11], [2, 4], [4, 1], [30, 1]], 38179/192631799808000], [[[1, 11], [2, 4], [4, 2], [6, 3]], 2807941/8321693751705600], [[[1, 11], [2, 4], [4, 2], [7, 1]], 17932813/719158719283200], [[[1, 11], [2, 4], [4, 2], [9, 1]], 20380513/2773897917235200], [[[1, 11], [2, 4], [4, 2], [14, 1]], 2327/1331775406080], [[[1, 11], [2, 4], [4, 2], [18, 1]], 30869/23115815976960], [[[1, 11], [2, 4], [4, 3], [5, 1]], 2726309/171228266496000], [[[1, 11], [2, 4], [4, 3], [6, 2]], 1883689/924632639078400], [[[1, 11], [2, 4], [4, 3], [8, 1]], 40134313/3287582716723200], [[[1, 11], [2, 4], [4, 3], [10, 1]], 198887/102736959897600], [[[1, 11], [2, 4], [4, 3], [12, 1]], 1981829/924632639078400], [[[1, 11], [2, 4], [4, 4], [6, 1]], 165839873/73970611126272000], [[[1, 11], [2, 4], [5, 1], [6, 3]], 297391/1300264648704000], [[[1, 11], [2, 4], [5, 1], [7, 1]], 5267/346816512000], [[[1, 11], [2, 4], [5, 1], [9, 1]], 19463/4013162496000], [[[1, 11], [2, 4], [5, 1], [14, 1]], 547/292626432000], [[[1, 11], [2, 4], [5, 1], [18, 1]], 25231/18059231232000], [[[1, 11], [2, 4], [5, 2], [6, 1]], 9871229/963158999040000], [[[1, 11], [2, 4], [6, 1], [8, 2]], 132017/308210879692800], [[[1, 11], [2, 4], [6, 1], [10, 2]], 2651/137594142720000], [[[1, 11], [2, 4], [6, 1], [12, 2]], 893/462316319539200], [[[1, 11], [2, 4], [6, 1], [15, 1]], 893/48157949952000], [[[1, 11], [2, 4], [6, 1], [20, 1]], 893/32105299968000], [[[1, 11], [2, 4], [6, 1], [24, 1]], 893/38526359961600], [[[1, 11], [2, 4], [6, 1], [30, 1]], 893/48157949952000], [[[1, 11], [2, 4], [6, 2], [7, 1]], 27911/50565847449600], [[[1, 11], [2, 4], [6, 2], [9, 1]], 14503/97519848652800], [[[1, 11], [2, 4], [6, 2], [14, 1]], 23/2106910310400], [[[1, 11], [2, 4], [6, 2], [18, 1]], 65/3467372396544], [[[1, 11], [2, 4], [6, 3], [8, 1]], 1259/130026464870400], [[[1, 11], [2, 4], [6, 3], [10, 1]], 797/144473849856000], [[[1, 11], [2, 4], [6, 3], [12, 1]], 3821/462316319539200], [[[1, 11], [2, 4], [7, 1], [8, 1]], 2179/468202291200], [[[1, 11], [2, 4], [7, 1], [10, 1]], 641/487710720000], [[[1, 11], [2, 4], [8, 1], [9, 1]], 39491/28894769971200], [[[1, 11], [2, 4], [8, 1], [14, 1]], 2377/7491236659200], [[[1, 11], [2, 4], [8, 1], [18, 1]], 1751/7223692492800], [[[1, 11], [2, 4], [9, 1], [10, 1]], 32593/90296156160000], [[[1, 11], [2, 4], [10, 1], [14, 1]], 23/585252864000], [[[1, 11], [2, 4], [10, 1], [18, 1]], 61/2006581248000], [[[1, 11], [2, 6], [3, 1], [4, 3]], 2917075601/73970611126272000], [[[1, 11], [2, 6], [3, 1], [6, 3]], 214529041/74895243765350400], [[[1, 11], [2, 6], [3, 1], [7, 1]], 79067/10787380789248], [[[1, 11], [2, 6], [3, 1], [9, 1]], 37992221/13869489586176000], [[[1, 11], [2, 6], [3, 1], [14, 1]], 242429/134842259865600], [[[1, 11], [2, 6], [3, 1], [18, 1]], 33287/26005292974080], [[[1, 11], [2, 6], [3, 2], [4, 2]], 1164006131/22191183337881600], [[[1, 11], [2, 6], [3, 2], [5, 1]], 4466977/192631799808000], [[[1, 11], [2, 6], [3, 2], [6, 2]], 14611250923/570630428688384000], [[[1, 11], [2, 6], [3, 2], [8, 1]], 155951/12842119987200], [[[1, 11], [2, 6], [3, 2], [10, 1]], 9296081/1444738498560000], [[[1, 11], [2, 6], [3, 2], [12, 1]], 150924101/73970611126272000], [[[1, 11], [2, 6], [3, 3], [4, 1]], 576341243/20804234379264000], [[[1, 11], [2, 6], [3, 3], [6, 1]], 19022059841/674057193888153600], [[[1, 11], [2, 6], [4, 1], [6, 3]], 574834849/499301625102336000], [[[1, 11], [2, 6], [4, 1], [7, 1]], 3594121/299649466368000], [[[1, 11], [2, 6], [4, 1], [9, 1]], 1207373/288947699712000], [[[1, 11], [2, 6], [4, 1], [14, 1]], 4087903/1797896798208000], [[[1, 11], [2, 6], [4, 1], [18, 1]], 11500129/6934744793088000], [[[1, 11], [2, 6], [4, 2], [5, 1]], 1489965403/30821087969280000], [[[1, 11], [2, 6], [4, 2], [6, 2]], 174767891/22191183337881600], [[[1, 11], [2, 6], [4, 2], [8, 1]], 1447103213/49313740750848000], [[[1, 11], [2, 6], [4, 2], [10, 1]], 102459677/10273695989760000], [[[1, 11], [2, 6], [4, 2], [12, 1]], 16188539/6164217593856000], [[[1, 11], [2, 6], [4, 3], [6, 1]], 396209521/24656870375424000], [[[1, 11], [2, 6], [5, 1], [6, 2]], 2913569/866843099136000], [[[1, 11], [2, 6], [5, 1], [8, 1]], 5083/528482304000], [[[1, 11], [2, 6], [5, 1], [10, 1]], 503953/80263249920000], [[[1, 11], [2, 6], [6, 1], [7, 1]], 34466113/12135803387904000], [[[1, 11], [2, 6], [6, 1], [9, 1]], 1699429/1872381094133760], [[[1, 11], [2, 6], [6, 1], [14, 1]], 118081/337105649664000], [[[1, 11], [2, 6], [6, 1], [18, 1]], 189713/660451885056000], [[[1, 11], [2, 6], [6, 2], [8, 1]], 1833773/1733686198272000], [[[1, 11], [2, 6], [6, 2], [10, 1]], 163/458647142400], [[[1, 11], [2, 6], [6, 2], [12, 1]], 4963703/24656870375424000], [[[1, 11], [2, 6], [8, 1], [10, 1]], 15983/10032906240000], [[[1, 11], [2, 8], [3, 1], [4, 2]], 12904146692951/559217820114616320000], [[[1, 11], [2, 8], [3, 1], [5, 1]], 291464106623/58251856261939200000], [[[1, 11], [2, 8], [3, 1], [6, 2]], 1591850010557/279608910057308160000], [[[1, 11], [2, 8], [3, 1], [8, 1]], 548090633/155338283365171200], [[[1, 11], [2, 8], [3, 1], [10, 1]], 27595117/11557907988480000], [[[1, 11], [2, 8], [3, 1], [12, 1]], 30257726071/139804455028654080000], [[[1, 11], [2, 8], [3, 2], [4, 1]], 28879001/2219118333788160], [[[1, 11], [2, 8], [3, 2], [6, 1]], 14303195593/1310666765893632000], [[[1, 11], [2, 8], [4, 1], [5, 1]], 6409405109/647242847354880000], [[[1, 11], [2, 8], [4, 1], [6, 2]], 2079285377/499301625102336000], [[[1, 11], [2, 8], [4, 1], [8, 1]], 972641989591/124270626692136960000], [[[1, 11], [2, 8], [4, 1], [10, 1]], 2659846541/647242847354880000], [[[1, 11], [2, 8], [4, 1], [12, 1]], 3805631/15533828336517120], [[[1, 11], [2, 8], [4, 2], [6, 1]], 2423190253/190210142896128000], [[[1, 11], [2, 8], [5, 1], [6, 1]], 320371739/104021171896320000], [[[1, 11], [2, 8], [6, 1], [8, 1]], 4323155591/2330074250477568000], [[[1, 11], [2, 8], [6, 1], [10, 1]], 58064311/53936903946240000], [[[1, 11], [2, 8], [6, 1], [12, 1]], 6403391/48543213551616000], [[[1, 11], [2, 10], [3, 1], [4, 1]], 55335891347/26629420005457920000], [[[1, 11], [2, 10], [3, 1], [6, 1]], 309113603/223687128045846528], [[[1, 11], [2, 10], [4, 1], [6, 1]], 968259997001/559217820114616320000], [[[1, 11], [3, 1], [4, 2], [5, 2]], 326663/481579499520000], [[[1, 11], [3, 1], [4, 2], [6, 4]], 71/124825406275584000], [[[1, 11], [3, 1], [4, 2], [8, 2]], 7631/154105439846400], [[[1, 11], [3, 1], [4, 2], [10, 2]], 71/481579499520000], [[[1, 11], [3, 1], [4, 2], [12, 2]], 29/77052719923200], [[[1, 11], [3, 1], [4, 2], [15, 1]], 71/24078974976000], [[[1, 11], [3, 1], [4, 2], [20, 1]], 71/16052649984000], [[[1, 11], [3, 1], [4, 2], [24, 1]], 71/19263179980800], [[[1, 11], [3, 1], [4, 2], [30, 1]], 71/24078974976000], [[[1, 11], [3, 1], [4, 4], [5, 1]], 198563/3852635996160000], [[[1, 11], [3, 1], [4, 4], [6, 2]], 47251/55477958344704000], [[[1, 11], [3, 1], [4, 4], [12, 1]], 2791/440301256704000], [[[1, 11], [3, 1], [5, 1], [6, 4]], 113/13002646487040000], [[[1, 11], [3, 1], [5, 1], [8, 2]], 113/16052649984000], [[[1, 11], [3, 1], [5, 1], [10, 2]], 113/50164531200000], [[[1, 11], [3, 1], [5, 1], [12, 2]], 113/24078974976000], [[[1, 11], [3, 1], [5, 1], [15, 1]], 113/2508226560000], [[[1, 11], [3, 1], [5, 1], [20, 1]], 113/1672151040000], [[[1, 11], [3, 1], [5, 1], [24, 1]], 113/2006581248000], [[[1, 11], [3, 1], [5, 1], [30, 1]], 113/2508226560000], [[[1, 11], [3, 1], [5, 2], [6, 2]], 145153/722369249280000], [[[1, 11], [3, 1], [5, 2], [12, 1]], 145153/120394874880000], [[[1, 11], [3, 1], [6, 2], [8, 2]], 1/231158159769600], [[[1, 11], [3, 1], [6, 2], [10, 2]], 1/722369249280000], [[[1, 11], [3, 1], [6, 2], [12, 2]], 1/49533891379200], [[[1, 11], [3, 1], [6, 2], [15, 1]], 1/36118462464000], [[[1, 11], [3, 1], [6, 2], [20, 1]], 1/24078974976000], [[[1, 11], [3, 1], [6, 2], [24, 1]], 1/28894769971200], [[[1, 11], [3, 1], [6, 2], [30, 1]], 1/36118462464000], [[[1, 11], [3, 1], [6, 3], [18, 1]], 1/65013232435200], [[[1, 11], [3, 1], [6, 4], [12, 1]], 13/4458050224128000], [[[1, 11], [3, 1], [7, 1], [9, 1]], 1121/2106910310400], [[[1, 11], [3, 1], [8, 2], [12, 1]], 1/38526359961600], [[[1, 11], [3, 1], [10, 2], [12, 1]], 1/120394874880000], [[[1, 11], [3, 1], [12, 1], [15, 1]], 1/6019743744000], [[[1, 11], [3, 1], [12, 1], [20, 1]], 1/4013162496000], [[[1, 11], [3, 1], [12, 1], [24, 1]], 1/4815794995200], [[[1, 11], [3, 1], [12, 1], [30, 1]], 1/6019743744000], [[[1, 11], [3, 2], [4, 2], [7, 1]], 19/40131624960], [[[1, 11], [3, 2], [4, 2], [9, 1]], 599/4815794995200], [[[1, 11], [3, 2], [4, 3], [8, 1]], 19/183458856960], [[[1, 11], [3, 2], [5, 1], [7, 1]], 1/149299200], [[[1, 11], [3, 2], [5, 1], [9, 1]], 2651/1504935936000], [[[1, 11], [3, 2], [6, 2], [7, 1]], 4481/67421129932800], [[[1, 11], [3, 2], [6, 2], [9, 1]], 299/17336861982720], [[[1, 11], [3, 2], [7, 1], [12, 1]], 4481/11236854988800], [[[1, 11], [3, 2], [9, 1], [12, 1]], 299/2889476997120], [[[1, 11], [3, 3], [4, 2], [5, 1]], 173/343985356800], [[[1, 11], [3, 3], [4, 2], [6, 2]], 7117/462316319539200], [[[1, 11], [3, 3], [4, 2], [12, 1]], 18007/178322008965120], [[[1, 11], [3, 3], [5, 1], [6, 2]], 3497/16052649984000], [[[1, 11], [3, 3], [5, 1], [12, 1]], 3497/2675441664000], [[[1, 11], [3, 3], [6, 1], [18, 1]], 6721/585119091916800], [[[1, 11], [3, 3], [6, 2], [12, 1]], 47059/3120635156889600], [[[1, 11], [3, 4], [4, 1], [8, 1]], 8108801/27738979172352000], [[[1, 11], [4, 1], [5, 2], [8, 1]], 145153/107017666560000], [[[1, 11], [4, 1], [6, 4], [8, 1]], 1/27738979172352000], [[[1, 11], [4, 1], [8, 1], [10, 2]], 1/107017666560000], [[[1, 11], [4, 1], [8, 1], [12, 2]], 1/51368479948800], [[[1, 11], [4, 1], [8, 1], [15, 1]], 1/5350883328000], [[[1, 11], [4, 1], [8, 1], [20, 1]], 1/3567255552000], [[[1, 11], [4, 1], [8, 1], [24, 1]], 1/4280706662400], [[[1, 11], [4, 1], [8, 1], [30, 1]], 1/5350883328000], [[[1, 11], [4, 2], [5, 1], [7, 1]], 1/1238630400], [[[1, 11], [4, 2], [5, 1], [9, 1]], 1/4777574400], [[[1, 11], [4, 2], [7, 1], [12, 1]], 1/2809213747200], [[[1, 11], [4, 2], [9, 1], [12, 1]], 1/10835538739200], [[[1, 11], [4, 3], [5, 1], [8, 1]], 1/5662310400], [[[1, 11], [4, 3], [8, 1], [12, 1]], 1/12842119987200], [[[1, 11], [6, 1], [7, 1], [18, 1]], 1/2106910310400], [[[1, 11], [6, 1], [9, 1], [18, 1]], 1/8126654054400], [[[1, 11], [6, 2], [7, 1], [12, 1]], 1/11236854988800], [[[1, 11], [6, 2], [9, 1], [12, 1]], 1/43342154956800], [[[1, 12], [2, 1], [3, 1], [4, 5]], 1373/195689447424000], [[[1, 12], [2, 1], [3, 1], [6, 5]], 11/31206351568896000], [[[1, 12], [2, 1], [3, 2], [4, 4]], 1633283/99860325020467200], [[[1, 12], [2, 1], [3, 2], [5, 2]], 18806737/6501323243520000], [[[1, 12], [2, 1], [3, 2], [6, 4]], 21059/337028596944076800], [[[1, 12], [2, 1], [3, 2], [8, 2]], 97/83216937517056], [[[1, 12], [2, 1], [3, 2], [10, 2]], 97/260052929740800], [[[1, 12], [2, 1], [3, 2], [12, 2]], 9283/3120635156889600], [[[1, 12], [2, 1], [3, 2], [15, 1]], 97/13002646487040], [[[1, 12], [2, 1], [3, 2], [20, 1]], 97/8668430991360], [[[1, 12], [2, 1], [3, 2], [24, 1]], 97/10402117189632], [[[1, 12], [2, 1], [3, 2], [30, 1]], 97/13002646487040], [[[1, 12], [2, 1], [3, 3], [4, 3]], 764611/8321693751705600], [[[1, 12], [2, 1], [3, 3], [6, 3]], 369763/28085716412006400], [[[1, 12], [2, 1], [3, 3], [7, 1]], 59161/60679016939520], [[[1, 12], [2, 1], [3, 3], [9, 1]], 14957/55725627801600], [[[1, 12], [2, 1], [3, 3], [14, 1]], 6721/303395084697600], [[[1, 12], [2, 1], [3, 3], [18, 1]], 6721/390079394611200], [[[1, 12], [2, 1], [3, 4], [4, 2]], 129647831/1331471000272896000], [[[1, 12], [2, 1], [3, 4], [5, 1]], 102011377/86684309913600000], [[[1, 12], [2, 1], [3, 4], [6, 2]], 22997/693474479308800], [[[1, 12], [2, 1], [3, 4], [8, 1]], 437341/3962711310336000], [[[1, 12], [2, 1], [3, 4], [12, 1]], 22997/115579079884800], [[[1, 12], [2, 1], [3, 5], [4, 1]], 2725343/13869489586176000], [[[1, 12], [2, 1], [3, 5], [6, 1]], 2725337/10402117189632000], [[[1, 12], [2, 1], [4, 1], [6, 5]], 1/124825406275584000], [[[1, 12], [2, 1], [4, 2], [5, 2]], 684307/2201506283520000], [[[1, 12], [2, 1], [4, 2], [6, 4]], 19/570630428688384000], [[[1, 12], [2, 1], [4, 2], [8, 2]], 15361/4931374075084800], [[[1, 12], [2, 1], [4, 2], [10, 2]], 19/2201506283520000], [[[1, 12], [2, 1], [4, 2], [12, 2]], 19/1056723016089600], [[[1, 12], [2, 1], [4, 2], [15, 1]], 19/110075314176000], [[[1, 12], [2, 1], [4, 2], [20, 1]], 19/73383542784000], [[[1, 12], [2, 1], [4, 2], [24, 1]], 19/88060251340800], [[[1, 12], [2, 1], [4, 2], [30, 1]], 19/110075314176000], [[[1, 12], [2, 1], [4, 3], [7, 1]], 1891/29964946636800], [[[1, 12], [2, 1], [4, 3], [9, 1]], 1891/115579079884800], [[[1, 12], [2, 1], [4, 4], [5, 1]], 1653881/77052719923200000], [[[1, 12], [2, 1], [4, 4], [8, 1]], 387631/24656870375424000], [[[1, 12], [2, 1], [4, 4], [12, 1]], 19/264180754022400], [[[1, 12], [2, 1], [4, 5], [6, 1]], 47251/36985305563136000], [[[1, 12], [2, 1], [5, 1], [6, 4]], 131/260052929740800000], [[[1, 12], [2, 1], [5, 1], [8, 2]], 131/321052999680000], [[[1, 12], [2, 1], [5, 1], [10, 2]], 131/1003290624000000], [[[1, 12], [2, 1], [5, 1], [12, 2]], 131/481579499520000], [[[1, 12], [2, 1], [5, 1], [15, 1]], 131/50164531200000], [[[1, 12], [2, 1], [5, 1], [20, 1]], 131/33443020800000], [[[1, 12], [2, 1], [5, 1], [24, 1]], 131/40131624960000], [[[1, 12], [2, 1], [5, 1], [30, 1]], 131/50164531200000], [[[1, 12], [2, 1], [5, 2], [8, 1]], 145153/321052999680000], [[[1, 12], [2, 1], [6, 3], [7, 1]], 1/101131694899200], [[[1, 12], [2, 1], [6, 3], [9, 1]], 1/390079394611200], [[[1, 12], [2, 1], [6, 4], [8, 1]], 1/83216937517056000], [[[1, 12], [2, 1], [7, 1], [9, 1]], 5/168552824832], [[[1, 12], [2, 1], [7, 1], [14, 1]], 1/1092472012800], [[[1, 12], [2, 1], [7, 1], [18, 1]], 1/1404606873600], [[[1, 12], [2, 1], [8, 1], [10, 2]], 1/321052999680000], [[[1, 12], [2, 1], [8, 1], [12, 2]], 1/154105439846400], [[[1, 12], [2, 1], [8, 1], [15, 1]], 1/16052649984000], [[[1, 12], [2, 1], [8, 1], [20, 1]], 1/10701766656000], [[[1, 12], [2, 1], [8, 1], [24, 1]], 1/12842119987200], [[[1, 12], [2, 1], [8, 1], [30, 1]], 1/16052649984000], [[[1, 12], [2, 1], [9, 1], [14, 1]], 1/4213820620800], [[[1, 12], [2, 1], [9, 1], [18, 1]], 1/5417769369600], [[[1, 12], [2, 3], [3, 1], [4, 4]], 35694737/73970611126272000], [[[1, 12], [2, 3], [3, 1], [5, 2]], 7313693/963158999040000], [[[1, 12], [2, 3], [3, 1], [6, 4]], 24731/35664401793024000], [[[1, 12], [2, 3], [3, 1], [8, 2]], 84641/308210879692800], [[[1, 12], [2, 3], [3, 1], [10, 2]], 797/963158999040000], [[[1, 12], [2, 3], [3, 1], [12, 2]], 797/462316319539200], [[[1, 12], [2, 3], [3, 1], [15, 1]], 797/48157949952000], [[[1, 12], [2, 3], [3, 1], [20, 1]], 797/32105299968000], [[[1, 12], [2, 3], [3, 1], [24, 1]], 797/38526359961600], [[[1, 12], [2, 3], [3, 1], [30, 1]], 797/48157949952000], [[[1, 12], [2, 3], [3, 2], [4, 3]], 1495013/924632639078400], [[[1, 12], [2, 3], [3, 2], [6, 3]], 111431269/1348114387776307200], [[[1, 12], [2, 3], [3, 2], [7, 1]], 6191/2106910310400], [[[1, 12], [2, 3], [3, 2], [9, 1]], 25603/28894769971200], [[[1, 12], [2, 3], [3, 2], [14, 1]], 34877/151697542348800], [[[1, 12], [2, 3], [3, 2], [18, 1]], 51103/292559545958400], [[[1, 12], [2, 3], [3, 3], [4, 2]], 827731/237762678620160], [[[1, 12], [2, 3], [3, 3], [5, 1]], 2612251/433421549568000], [[[1, 12], [2, 3], [3, 3], [6, 2]], 160651279/74895243765350400], [[[1, 12], [2, 3], [3, 3], [8, 1]], 147319/104021171896320], [[[1, 12], [2, 3], [3, 3], [10, 1]], 440347/1300264648704000], [[[1, 12], [2, 3], [3, 3], [12, 1]], 20323/30821087969280], [[[1, 12], [2, 3], [3, 4], [4, 1]], 198124949/66573550013644800], [[[1, 12], [2, 3], [3, 4], [6, 1]], 1607185751/499301625102336000], [[[1, 12], [2, 3], [4, 1], [5, 2]], 796457/110075314176000], [[[1, 12], [2, 3], [4, 1], [6, 4]], 1801/28531521434419200], [[[1, 12], [2, 3], [4, 1], [8, 2]], 34921/176120502681600], [[[1, 12], [2, 3], [4, 1], [10, 2]], 397/550376570880000], [[[1, 12], [2, 3], [4, 1], [12, 2]], 383/369853055631360], [[[1, 12], [2, 3], [4, 1], [15, 1]], 383/38526359961600], [[[1, 12], [2, 3], [4, 1], [16, 1]], 1/1070176665600], [[[1, 12], [2, 3], [4, 1], [20, 1]], 383/25684239974400], [[[1, 12], [2, 3], [4, 1], [24, 1]], 383/30821087969280], [[[1, 12], [2, 3], [4, 1], [30, 1]], 383/38526359961600], [[[1, 12], [2, 3], [4, 2], [6, 3]], 98323/199720650040934400], [[[1, 12], [2, 3], [4, 2], [7, 1]], 2327/1331775406080], [[[1, 12], [2, 3], [4, 2], [9, 1]], 11017/23115815976960], [[[1, 12], [2, 3], [4, 2], [14, 1]], 32863/719158719283200], [[[1, 12], [2, 3], [4, 2], [18, 1]], 98323/2773897917235200], [[[1, 12], [2, 3], [4, 3], [5, 1]], 655219/513684799488000], [[[1, 12], [2, 3], [4, 3], [6, 2]], 11467/184926527815680], [[[1, 12], [2, 3], [4, 3], [8, 1]], 2146843/3287582716723200], [[[1, 12], [2, 3], [4, 3], [10, 1]], 3079/57076088832000], [[[1, 12], [2, 3], [4, 3], [12, 1]], 7643/132090377011200], [[[1, 12], [2, 3], [4, 4], [6, 1]], 54915013/443823666757632000], [[[1, 12], [2, 3], [5, 1], [6, 3]], 7753/6501323243520000], [[[1, 12], [2, 3], [5, 1], [7, 1]], 547/292626432000], [[[1, 12], [2, 3], [5, 1], [9, 1]], 3259/6019743744000], [[[1, 12], [2, 3], [5, 1], [14, 1]], 73/650280960000], [[[1, 12], [2, 3], [5, 1], [18, 1]], 7753/90296156160000], [[[1, 12], [2, 3], [5, 2], [6, 1]], 684307/825564856320000], [[[1, 12], [2, 3], [6, 1], [8, 2]], 9277/1849265278156800], [[[1, 12], [2, 3], [6, 1], [10, 2]], 997/5778953994240000], [[[1, 12], [2, 3], [6, 1], [12, 2]], 19/396271131033600], [[[1, 12], [2, 3], [6, 1], [15, 1]], 19/41278242816000], [[[1, 12], [2, 3], [6, 1], [20, 1]], 19/27518828544000], [[[1, 12], [2, 3], [6, 1], [24, 1]], 19/33022594252800], [[[1, 12], [2, 3], [6, 1], [30, 1]], 19/41278242816000], [[[1, 12], [2, 3], [6, 2], [7, 1]], 23/2106910310400], [[[1, 12], [2, 3], [6, 2], [9, 1]], 187/65013232435200], [[[1, 12], [2, 3], [6, 2], [14, 1]], 1/11236854988800], [[[1, 12], [2, 3], [6, 2], [18, 1]], 169/520105859481600], [[[1, 12], [2, 3], [6, 3], [8, 1]], 299/2080423437926400], [[[1, 12], [2, 3], [6, 3], [10, 1]], 13/288947699712000], [[[1, 12], [2, 3], [6, 3], [12, 1]], 277/2773897917235200], [[[1, 12], [2, 3], [7, 1], [8, 1]], 2377/7491236659200], [[[1, 12], [2, 3], [7, 1], [10, 1]], 23/585252864000], [[[1, 12], [2, 3], [8, 1], [9, 1]], 313/3611846246400], [[[1, 12], [2, 3], [8, 1], [14, 1]], 1/117050572800], [[[1, 12], [2, 3], [8, 1], [18, 1]], 191/28894769971200], [[[1, 12], [2, 3], [9, 1], [10, 1]], 187/18059231232000], [[[1, 12], [2, 3], [10, 1], [14, 1]], 1/3121348608000], [[[1, 12], [2, 3], [10, 1], [18, 1]], 1/4013162496000], [[[1, 12], [2, 5], [3, 1], [4, 3]], 436872551/73970611126272000], [[[1, 12], [2, 5], [3, 1], [6, 3]], 2343073/13869489586176000], [[[1, 12], [2, 5], [3, 1], [7, 1]], 242429/134842259865600], [[[1, 12], [2, 5], [3, 1], [9, 1]], 3260263/5547795834470400], [[[1, 12], [2, 5], [3, 1], [14, 1]], 66329/269684519731200], [[[1, 12], [2, 5], [3, 1], [18, 1]], 21047/115579079884800], [[[1, 12], [2, 5], [3, 2], [4, 2]], 2154011449/199720650040934400], [[[1, 12], [2, 5], [3, 2], [5, 1]], 11807/1719926784000], [[[1, 12], [2, 5], [3, 2], [6, 2]], 47013395927/14379886802947276800], [[[1, 12], [2, 5], [3, 2], [8, 1]], 294167/115579079884800], [[[1, 12], [2, 5], [3, 2], [10, 1]], 93131/92876046336000], [[[1, 12], [2, 5], [3, 2], [12, 1]], 288611/657516543344640], [[[1, 12], [2, 5], [3, 3], [4, 1]], 1226985401/166433875034112000], [[[1, 12], [2, 5], [3, 3], [6, 1]], 2347415779/374476218826752000], [[[1, 12], [2, 5], [4, 1], [6, 3]], 601177/12482540627558400], [[[1, 12], [2, 5], [4, 1], [7, 1]], 4087903/1797896798208000], [[[1, 12], [2, 5], [4, 1], [9, 1]], 231023/330225942528000], [[[1, 12], [2, 5], [4, 1], [14, 1]], 20047/89894839910400], [[[1, 12], [2, 5], [4, 1], [18, 1]], 4159/24766945689600], [[[1, 12], [2, 5], [4, 2], [5, 1]], 40455413/4403012567040000], [[[1, 12], [2, 5], [4, 2], [6, 2]], 7974479/13314710002728960], [[[1, 12], [2, 5], [4, 2], [8, 1]], 168470783/49313740750848000], [[[1, 12], [2, 5], [4, 2], [10, 1]], 3323809/4403012567040000], [[[1, 12], [2, 5], [4, 2], [12, 1]], 227629/887647333515264], [[[1, 12], [2, 5], [4, 3], [6, 1]], 27568109/14794122225254400], [[[1, 12], [2, 5], [5, 1], [6, 2]], 12803/38698352640000], [[[1, 12], [2, 5], [5, 1], [8, 1]], 225629/128421199872000], [[[1, 12], [2, 5], [5, 1], [10, 1]], 226651/334430208000000], [[[1, 12], [2, 5], [6, 1], [7, 1]], 118081/337105649664000], [[[1, 12], [2, 5], [6, 1], [9, 1]], 32869/325066162176000], [[[1, 12], [2, 5], [6, 1], [14, 1]], 5491/269684519731200], [[[1, 12], [2, 5], [6, 1], [18, 1]], 312869/16643387503411200], [[[1, 12], [2, 5], [6, 2], [8, 1]], 3869/69347447930880], [[[1, 12], [2, 5], [6, 2], [10, 1]], 1099/82556485632000], [[[1, 12], [2, 5], [6, 2], [12, 1]], 218161/17752946670305280], [[[1, 12], [2, 5], [8, 1], [10, 1]], 17669/160526499840000], [[[1, 12], [2, 7], [3, 1], [4, 2]], 70596471157/9320297001910272000], [[[1, 12], [2, 7], [3, 1], [5, 1]], 1097475107/485432135516160000], [[[1, 12], [2, 7], [3, 1], [6, 2]], 2035321661/1747555687858176000], [[[1, 12], [2, 7], [3, 1], [8, 1]], 42592553/36985305563136000], [[[1, 12], [2, 7], [3, 1], [10, 1]], 6969917/11557907988480000], [[[1, 12], [2, 7], [3, 1], [12, 1]], 20120263/291259281309696000], [[[1, 12], [2, 7], [3, 2], [4, 1]], 99393121/18492652781568000], [[[1, 12], [2, 7], [3, 2], [6, 1]], 384774129011/107849151022104576000], [[[1, 12], [2, 7], [4, 1], [5, 1]], 37436443/10273695989760000], [[[1, 12], [2, 7], [4, 1], [6, 2]], 49130381/71328803586048000], [[[1, 12], [2, 7], [4, 1], [8, 1]], 7812258703/4142354223071232000], [[[1, 12], [2, 7], [4, 1], [10, 1]], 3545183/4403012567040000], [[[1, 12], [2, 7], [4, 1], [12, 1]], 116087/2054739197952000], [[[1, 12], [2, 7], [4, 2], [6, 1]], 22457007169/7988826001637376000], [[[1, 12], [2, 7], [5, 1], [6, 1]], 466372031/520105859481600000], [[[1, 12], [2, 7], [6, 1], [8, 1]], 118915553/332867750068224000], [[[1, 12], [2, 7], [6, 1], [10, 1]], 13479871/92463263907840000], [[[1, 12], [2, 7], [6, 1], [12, 1]], 6536483/221911833378816000], [[[1, 12], [2, 9], [3, 1], [4, 1]], 242335736039/186405940038205440000], [[[1, 12], [2, 9], [3, 1], [6, 1]], 13508931353/19972065004093440000], [[[1, 12], [2, 9], [4, 1], [6, 1]], 405177429071/559217820114616320000], [[[1, 13], [2, 2], [3, 1], [4, 4]], 7363103/475525357240320000], [[[1, 13], [2, 2], [3, 1], [5, 2]], 6144361/8668430991360000], [[[1, 13], [2, 2], [3, 1], [6, 4]], 55421/11234286564802560000], [[[1, 13], [2, 2], [3, 1], [8, 2]], 77561/13869489586176000], [[[1, 13], [2, 2], [3, 1], [10, 2]], 203/6191736422400000], [[[1, 13], [2, 2], [3, 1], [12, 2]], 203/2972033482752000], [[[1, 13], [2, 2], [3, 1], [15, 1]], 203/309586821120000], [[[1, 13], [2, 2], [3, 1], [20, 1]], 203/206391214080000], [[[1, 13], [2, 2], [3, 1], [24, 1]], 203/247669456896000], [[[1, 13], [2, 2], [3, 1], [30, 1]], 203/309586821120000], [[[1, 13], [2, 2], [3, 2], [4, 3]], 509161/8321693751705600], [[[1, 13], [2, 2], [3, 2], [6, 3]], 295037/269622877555261440], [[[1, 13], [2, 2], [3, 2], [7, 1]], 34877/151697542348800], [[[1, 13], [2, 2], [3, 2], [9, 1]], 9263/144473849856000], [[[1, 13], [2, 2], [3, 2], [14, 1]], 307/37924385587200], [[[1, 13], [2, 2], [3, 2], [18, 1]], 3653/585119091916800], [[[1, 13], [2, 2], [3, 3], [4, 2]], 3085633/22191183337881600], [[[1, 13], [2, 2], [3, 3], [5, 1]], 1333273/2167107747840000], [[[1, 13], [2, 2], [3, 3], [6, 2]], 6105541/124825406275584000], [[[1, 13], [2, 2], [3, 3], [8, 1]], 1661/19813556551680], [[[1, 13], [2, 2], [3, 3], [10, 1]], 6721/866843099136000], [[[1, 13], [2, 2], [3, 3], [12, 1]], 332047/6934744793088000], [[[1, 13], [2, 2], [3, 4], [4, 1]], 250947247/1109559166894080000], [[[1, 13], [2, 2], [3, 4], [6, 1]], 104202347/499301625102336000], [[[1, 13], [2, 2], [4, 1], [5, 2]], 79687/171228266496000], [[[1, 13], [2, 2], [4, 1], [6, 4]], 1741/3328677500682240000], [[[1, 13], [2, 2], [4, 1], [8, 2]], 929/456608710656000], [[[1, 13], [2, 2], [4, 1], [10, 2]], 47/4280706662400000], [[[1, 13], [2, 2], [4, 1], [12, 2]], 47/2054739197952000], [[[1, 13], [2, 2], [4, 1], [15, 1]], 47/214035333120000], [[[1, 13], [2, 2], [4, 1], [20, 1]], 47/142690222080000], [[[1, 13], [2, 2], [4, 1], [24, 1]], 47/171228266496000], [[[1, 13], [2, 2], [4, 1], [30, 1]], 47/214035333120000], [[[1, 13], [2, 2], [4, 2], [6, 3]], 1/499301625102336], [[[1, 13], [2, 2], [4, 2], [7, 1]], 32863/719158719283200], [[[1, 13], [2, 2], [4, 2], [9, 1]], 409/34245653299200], [[[1, 13], [2, 2], [4, 2], [14, 1]], 67/359579359641600], [[[1, 13], [2, 2], [4, 2], [18, 1]], 1/6934744793088], [[[1, 13], [2, 2], [4, 3], [5, 1]], 326269/5136847994880000], [[[1, 13], [2, 2], [4, 3], [8, 1]], 7027/469654673817600], [[[1, 13], [2, 2], [4, 3], [10, 1]], 19/146767085568000], [[[1, 13], [2, 2], [4, 3], [12, 1]], 947/3082108796928000], [[[1, 13], [2, 2], [4, 4], [6, 1]], 1408801/443823666757632000], [[[1, 13], [2, 2], [5, 1], [6, 3]], 197/6501323243520000], [[[1, 13], [2, 2], [5, 1], [7, 1]], 73/650280960000], [[[1, 13], [2, 2], [5, 1], [9, 1]], 2759/90296156160000], [[[1, 13], [2, 2], [5, 1], [14, 1]], 11/3901685760000], [[[1, 13], [2, 2], [5, 1], [18, 1]], 197/90296156160000], [[[1, 13], [2, 2], [5, 2], [6, 1]], 145153/5778953994240000], [[[1, 13], [2, 2], [6, 1], [8, 2]], 73/1849265278156800], [[[1, 13], [2, 2], [6, 1], [10, 2]], 1/5778953994240000], [[[1, 13], [2, 2], [6, 1], [12, 2]], 1/2773897917235200], [[[1, 13], [2, 2], [6, 1], [15, 1]], 1/288947699712000], [[[1, 13], [2, 2], [6, 1], [20, 1]], 1/192631799808000], [[[1, 13], [2, 2], [6, 1], [24, 1]], 1/231158159769600], [[[1, 13], [2, 2], [6, 1], [30, 1]], 1/288947699712000], [[[1, 13], [2, 2], [6, 2], [7, 1]], 1/11236854988800], [[[1, 13], [2, 2], [6, 2], [9, 1]], 1/43342154956800], [[[1, 13], [2, 2], [6, 2], [18, 1]], 1/520105859481600], [[[1, 13], [2, 2], [6, 3], [8, 1]], 1/1386948958617600], [[[1, 13], [2, 2], [6, 3], [12, 1]], 1/2773897917235200], [[[1, 13], [2, 2], [7, 1], [8, 1]], 1/117050572800], [[[1, 13], [2, 2], [7, 1], [10, 1]], 1/3121348608000], [[[1, 13], [2, 2], [8, 1], [9, 1]], 13/5778953994240], [[[1, 13], [2, 2], [8, 1], [14, 1]], 1/14982473318400], [[[1, 13], [2, 2], [8, 1], [18, 1]], 1/19263179980800], [[[1, 13], [2, 2], [9, 1], [10, 1]], 1/12039487488000], [[[1, 13], [2, 4], [3, 1], [4, 3]], 49673/109586090557440], [[[1, 13], [2, 4], [3, 1], [6, 3]], 4345387/1123428656480256000], [[[1, 13], [2, 4], [3, 1], [7, 1]], 66329/269684519731200], [[[1, 13], [2, 4], [3, 1], [9, 1]], 58009/792542262067200], [[[1, 13], [2, 4], [3, 1], [14, 1]], 18643/1011316948992000], [[[1, 13], [2, 4], [3, 1], [18, 1]], 13627/975198486528000], [[[1, 13], [2, 4], [3, 2], [4, 2]], 236898187/199720650040934400], [[[1, 13], [2, 4], [3, 2], [5, 1]], 33371/27518828544000], [[[1, 13], [2, 4], [3, 2], [6, 2]], 418194329/2054269543278182400], [[[1, 13], [2, 4], [3, 2], [8, 1]], 318403/1040211718963200], [[[1, 13], [2, 4], [3, 2], [10, 1]], 129277/1625330810880000], [[[1, 13], [2, 4], [3, 2], [12, 1]], 60013/1095860905574400], [[[1, 13], [2, 4], [3, 3], [4, 1]], 937723/832169375170560], [[[1, 13], [2, 4], [3, 3], [6, 1]], 99761707/124825406275584000], [[[1, 13], [2, 4], [4, 1], [6, 3]], 111211/166433875034112000], [[[1, 13], [2, 4], [4, 1], [7, 1]], 20047/89894839910400], [[[1, 13], [2, 4], [4, 1], [9, 1]], 10981/173368619827200], [[[1, 13], [2, 4], [4, 1], [14, 1]], 19573/1797896798208000], [[[1, 13], [2, 4], [4, 1], [18, 1]], 19291/2311581597696000], [[[1, 13], [2, 4], [4, 2], [5, 1]], 29668213/30821087969280000], [[[1, 13], [2, 4], [4, 2], [6, 2]], 1246969/66573550013644800], [[[1, 13], [2, 4], [4, 2], [8, 1]], 10567133/49313740750848000], [[[1, 13], [2, 4], [4, 2], [10, 1]], 722081/30821087969280000], [[[1, 13], [2, 4], [4, 2], [12, 1]], 280813/22191183337881600], [[[1, 13], [2, 4], [4, 3], [6, 1]], 7955821/73970611126272000], [[[1, 13], [2, 4], [5, 1], [6, 2]], 16453/1083553873920000], [[[1, 13], [2, 4], [5, 1], [8, 1]], 28319/160526499840000], [[[1, 13], [2, 4], [5, 1], [10, 1]], 1459/37158912000000], [[[1, 13], [2, 4], [6, 1], [7, 1]], 5491/269684519731200], [[[1, 13], [2, 4], [6, 1], [9, 1]], 1919/346737239654400], [[[1, 13], [2, 4], [6, 1], [14, 1]], 67/134842259865600], [[[1, 13], [2, 4], [6, 1], [18, 1]], 10301/16643387503411200], [[[1, 13], [2, 4], [6, 2], [8, 1]], 43/38526359961600], [[[1, 13], [2, 4], [6, 2], [10, 1]], 19/72236924928000], [[[1, 13], [2, 4], [6, 2], [12, 1]], 29501/88764733351526400], [[[1, 13], [2, 4], [8, 1], [10, 1]], 383/128421199872000], [[[1, 13], [2, 6], [3, 1], [4, 2]], 1951677971/1331471000272896000], [[[1, 13], [2, 6], [3, 1], [5, 1]], 889441/1467670855680000], [[[1, 13], [2, 6], [3, 1], [6, 2]], 306829357/2396647800491212800], [[[1, 13], [2, 6], [3, 1], [8, 1]], 1081019/4931374075084800], [[[1, 13], [2, 6], [3, 1], [10, 1]], 14568217/173368619827200000], [[[1, 13], [2, 6], [3, 1], [12, 1]], 964307/73970611126272000], [[[1, 13], [2, 6], [3, 2], [4, 1]], 6259793/4755253572403200], [[[1, 13], [2, 6], [3, 2], [6, 1]], 18709459403/26962287755526144000], [[[1, 13], [2, 6], [4, 1], [5, 1]], 34846471/44030125670400000], [[[1, 13], [2, 6], [4, 1], [6, 2]], 464407/7925422620672000], [[[1, 13], [2, 6], [4, 1], [8, 1]], 17824171/65751654334464000], [[[1, 13], [2, 6], [4, 1], [10, 1]], 3573431/44030125670400000], [[[1, 13], [2, 6], [4, 1], [12, 1]], 7651/1056723016089600], [[[1, 13], [2, 6], [4, 2], [6, 1]], 2729529217/7988826001637376000], [[[1, 13], [2, 6], [5, 1], [6, 1]], 74171017/520105859481600000], [[[1, 13], [2, 6], [6, 1], [8, 1]], 2695541/73970611126272000], [[[1, 13], [2, 6], [6, 1], [10, 1]], 67207/6604518850560000], [[[1, 13], [2, 6], [6, 1], [12, 1]], 41143/11095591668940800], [[[1, 13], [2, 8], [3, 1], [4, 1]], 2914312769/6213531334606848000], [[[1, 13], [2, 8], [3, 1], [6, 1]], 119181985973/629120047628943360000], [[[1, 13], [2, 8], [4, 1], [6, 1]], 15926174669/93202970019102720000], [[[1, 13], [3, 1], [4, 2], [7, 1]], 71/22473709977600], [[[1, 13], [3, 1], [4, 2], [9, 1]], 379/462316319539200], [[[1, 13], [3, 1], [4, 3], [8, 1]], 71/102736959897600], [[[1, 13], [3, 1], [5, 1], [7, 1]], 113/2341011456000], [[[1, 13], [3, 1], [5, 1], [9, 1]], 377/30098718720000], [[[1, 13], [3, 1], [6, 2], [7, 1]], 1/33710564966400], [[[1, 13], [3, 1], [6, 2], [9, 1]], 1/130026464870400], [[[1, 13], [3, 1], [7, 1], [12, 1]], 1/5618427494400], [[[1, 13], [3, 1], [9, 1], [12, 1]], 1/21671077478400], [[[1, 13], [3, 2], [4, 2], [5, 1]], 67/5350883328000], [[[1, 13], [3, 2], [4, 2], [6, 2]], 101/986274815016960], [[[1, 13], [3, 2], [4, 2], [12, 1]], 130651/199720650040934400], [[[1, 13], [3, 2], [5, 1], [6, 2]], 1507/963158999040000], [[[1, 13], [3, 2], [5, 1], [12, 1]], 1507/160526499840000], [[[1, 13], [3, 2], [6, 1], [18, 1]], 31/585119091916800], [[[1, 13], [3, 2], [6, 2], [12, 1]], 7/445805022412800], [[[1, 13], [3, 3], [4, 1], [8, 1]], 6721/1386948958617600], [[[1, 13], [4, 1], [7, 1], [8, 1]], 1/4994157772800], [[[1, 13], [4, 1], [8, 1], [9, 1]], 1/19263179980800], [[[1, 13], [4, 2], [5, 1], [12, 1]], 1/120394874880000], [[[1, 13], [4, 2], [6, 1], [18, 1]], 1/1386948958617600], [[[1, 13], [4, 2], [6, 2], [12, 1]], 1/7397061112627200], [[[1, 13], [5, 1], [6, 1], [18, 1]], 1/90296156160000], [[[1, 13], [5, 1], [6, 2], [12, 1]], 1/481579499520000], [[[1, 14], [2, 1], [3, 1], [4, 4]], 3061957/19972065004093440000], [[[1, 14], [2, 1], [3, 1], [5, 2]], 1723193/52010585948160000], [[[1, 14], [2, 1], [3, 1], [6, 4]], 157/67405719388815360000], [[[1, 14], [2, 1], [3, 1], [8, 2]], 157/83216937517056000], [[[1, 14], [2, 1], [3, 1], [10, 2]], 157/260052929740800000], [[[1, 14], [2, 1], [3, 1], [12, 2]], 157/124825406275584000], [[[1, 14], [2, 1], [3, 1], [15, 1]], 157/13002646487040000], [[[1, 14], [2, 1], [3, 1], [20, 1]], 157/8668430991360000], [[[1, 14], [2, 1], [3, 1], [24, 1]], 157/10402117189632000], [[[1, 14], [2, 1], [3, 1], [30, 1]], 157/13002646487040000], [[[1, 14], [2, 1], [3, 2], [4, 3]], 11047/8321693751705600], [[[1, 14], [2, 1], [3, 2], [6, 3]], 193/28085716412006400], [[[1, 14], [2, 1], [3, 2], [7, 1]], 307/37924385587200], [[[1, 14], [2, 1], [3, 2], [9, 1]], 1871/866843099136000], [[[1, 14], [2, 1], [3, 2], [14, 1]], 31/303395084697600], [[[1, 14], [2, 1], [3, 2], [18, 1]], 31/390079394611200], [[[1, 14], [2, 1], [3, 3], [4, 2]], 2071/924632639078400], [[[1, 14], [2, 1], [3, 3], [5, 1]], 22523/722369249280000], [[[1, 14], [2, 1], [3, 3], [6, 2]], 67199/249650812551168000], [[[1, 14], [2, 1], [3, 3], [8, 1]], 2323/1386948958617600], [[[1, 14], [2, 1], [3, 3], [12, 1]], 67199/41608468758528000], [[[1, 14], [2, 1], [3, 4], [4, 1]], 6287467/1109559166894080000], [[[1, 14], [2, 1], [3, 4], [6, 1]], 499/115579079884800], [[[1, 14], [2, 1], [4, 1], [5, 2]], 29069/2568423997440000], [[[1, 14], [2, 1], [4, 1], [6, 4]], 1/3328677500682240000], [[[1, 14], [2, 1], [4, 1], [8, 2]], 61/4109478395904000], [[[1, 14], [2, 1], [4, 1], [10, 2]], 1/12842119987200000], [[[1, 14], [2, 1], [4, 1], [12, 2]], 1/6164217593856000], [[[1, 14], [2, 1], [4, 1], [15, 1]], 1/642105999360000], [[[1, 14], [2, 1], [4, 1], [20, 1]], 1/428070666240000], [[[1, 14], [2, 1], [4, 1], [24, 1]], 1/513684799488000], [[[1, 14], [2, 1], [4, 1], [30, 1]], 1/642105999360000], [[[1, 14], [2, 1], [4, 2], [6, 3]], 1/66573550013644800], [[[1, 14], [2, 1], [4, 2], [7, 1]], 67/359579359641600], [[[1, 14], [2, 1], [4, 2], [9, 1]], 17/346737239654400], [[[1, 14], [2, 1], [4, 2], [14, 1]], 1/719158719283200], [[[1, 14], [2, 1], [4, 2], [18, 1]], 1/924632639078400], [[[1, 14], [2, 1], [4, 3], [5, 1]], 841/570760888320000], [[[1, 14], [2, 1], [4, 3], [8, 1]], 143/3287582716723200], [[[1, 14], [2, 1], [4, 3], [10, 1]], 1/1027369598976000], [[[1, 14], [2, 1], [4, 3], [12, 1]], 1/440301256704000], [[[1, 14], [2, 1], [5, 1], [6, 3]], 1/4334215495680000], [[[1, 14], [2, 1], [5, 1], [7, 1]], 11/3901685760000], [[[1, 14], [2, 1], [5, 1], [9, 1]], 67/90296156160000], [[[1, 14], [2, 1], [5, 1], [14, 1]], 1/46820229120000], [[[1, 14], [2, 1], [5, 1], [18, 1]], 1/60197437440000], [[[1, 14], [2, 1], [7, 1], [8, 1]], 1/14982473318400], [[[1, 14], [2, 1], [8, 1], [9, 1]], 1/57789539942400], [[[1, 14], [2, 3], [3, 1], [4, 3]], 4069139/221911833378816000], [[[1, 14], [2, 3], [3, 1], [6, 3]], 27827/674057193888153600], [[[1, 14], [2, 3], [3, 1], [7, 1]], 18643/1011316948992000], [[[1, 14], [2, 3], [3, 1], [9, 1]], 55589/10787380789248000], [[[1, 14], [2, 3], [3, 1], [14, 1]], 8683/12135803387904000], [[[1, 14], [2, 3], [3, 1], [18, 1]], 5147/9361905470668800], [[[1, 14], [2, 3], [3, 2], [4, 2]], 4233643/66573550013644800], [[[1, 14], [2, 3], [3, 2], [5, 1]], 274283/2167107747840000], [[[1, 14], [2, 3], [3, 2], [6, 2]], 442448191/83882673017192448000], [[[1, 14], [2, 3], [3, 2], [8, 1]], 104519/5201058594816000], [[[1, 14], [2, 3], [3, 2], [10, 1]], 7337/2600529297408000], [[[1, 14], [2, 3], [3, 2], [12, 1]], 1998413/517794277883904000], [[[1, 14], [2, 3], [3, 3], [4, 1]], 15595393/166433875034112000], [[[1, 14], [2, 3], [3, 3], [6, 1]], 1357921/24965081255116800], [[[1, 14], [2, 3], [4, 1], [6, 3]], 143/20804234379264000], [[[1, 14], [2, 3], [4, 1], [7, 1]], 19573/1797896798208000], [[[1, 14], [2, 3], [4, 1], [9, 1]], 2917/990677827584000], [[[1, 14], [2, 3], [4, 1], [14, 1]], 71/299649466368000], [[[1, 14], [2, 3], [4, 1], [18, 1]], 53/288947699712000], [[[1, 14], [2, 3], [4, 2], [5, 1]], 74201/1467670855680000], [[[1, 14], [2, 3], [4, 2], [6, 2]], 3593/22191183337881600], [[[1, 14], [2, 3], [4, 2], [8, 1]], 307943/49313740750848000], [[[1, 14], [2, 3], [4, 2], [10, 1]], 7081/30821087969280000], [[[1, 14], [2, 3], [4, 2], [12, 1]], 109387/388345708412928000], [[[1, 14], [2, 3], [4, 3], [6, 1]], 26653/10567230160896000], [[[1, 14], [2, 3], [5, 1], [6, 2]], 79/288947699712000], [[[1, 14], [2, 3], [5, 1], [8, 1]], 739/80263249920000], [[[1, 14], [2, 3], [5, 1], [10, 1]], 79/80263249920000], [[[1, 14], [2, 3], [6, 1], [7, 1]], 67/134842259865600], [[[1, 14], [2, 3], [6, 1], [9, 1]], 17/130026464870400], [[[1, 14], [2, 3], [6, 1], [14, 1]], 1/269684519731200], [[[1, 14], [2, 3], [6, 1], [18, 1]], 3631/291259281309696000], [[[1, 14], [2, 3], [6, 2], [8, 1]], 1/115579079884800], [[[1, 14], [2, 3], [6, 2], [10, 1]], 1/577895399424000], [[[1, 14], [2, 3], [6, 2], [12, 1]], 6151/1553382833651712000], [[[1, 14], [2, 3], [8, 1], [10, 1]], 1/42807066624000], [[[1, 14], [2, 5], [3, 1], [4, 2]], 1317521137/7988826001637376000], [[[1, 14], [2, 5], [3, 1], [5, 1]], 509521/5136847994880000], [[[1, 14], [2, 5], [3, 1], [6, 2]], 65503589/8987429251842048000], [[[1, 14], [2, 5], [3, 1], [8, 1]], 5484223/221911833378816000], [[[1, 14], [2, 5], [3, 1], [10, 1]], 3313267/520105859481600000], [[[1, 14], [2, 5], [3, 1], [12, 1]], 3263/2219118333788160], [[[1, 14], [2, 5], [3, 2], [4, 1]], 920731/4755253572403200], [[[1, 14], [2, 5], [3, 2], [6, 1]], 6738721163/83882673017192448000], [[[1, 14], [2, 5], [4, 1], [5, 1]], 4477511/44030125670400000], [[[1, 14], [2, 5], [4, 1], [6, 2]], 138787/55477958344704000], [[[1, 14], [2, 5], [4, 1], [8, 1]], 31116011/1380784741023744000], [[[1, 14], [2, 5], [4, 1], [10, 1]], 1263457/308210879692800000], [[[1, 14], [2, 5], [4, 1], [12, 1]], 3901/7397061112627200], [[[1, 14], [2, 5], [4, 2], [6, 1]], 7792889/345196185255936000], [[[1, 14], [2, 5], [5, 1], [6, 1]], 723409/57789539942400000], [[[1, 14], [2, 5], [6, 1], [8, 1]], 28529/14794122225254400], [[[1, 14], [2, 5], [6, 1], [10, 1]], 84799/215747615784960000], [[[1, 14], [2, 5], [6, 1], [12, 1]], 415187/1553382833651712000], [[[1, 14], [2, 7], [3, 1], [4, 1]], 460490669/4438236667576320000], [[[1, 14], [2, 7], [3, 1], [6, 1]], 8724002741/269622877555261440000], [[[1, 14], [2, 7], [4, 1], [6, 1]], 308406809/13314710002728960000], [[[1, 15], [2, 2], [3, 1], [4, 3]], 286973/665735500136448000], [[[1, 15], [2, 2], [3, 1], [6, 3]], 877/3370285969440768000], [[[1, 15], [2, 2], [3, 1], [7, 1]], 8683/12135803387904000], [[[1, 15], [2, 2], [3, 1], [9, 1]], 6227/32362142367744000], [[[1, 15], [2, 2], [3, 1], [14, 1]], 79/6067901693952000], [[[1, 15], [2, 2], [3, 1], [18, 1]], 59/5851190919168000], [[[1, 15], [2, 2], [3, 2], [4, 2]], 167071/110955916689408000], [[[1, 15], [2, 2], [3, 2], [5, 1]], 21419/2889476997120000], [[[1, 15], [2, 2], [3, 2], [6, 2]], 1433561/27960891005730816000], [[[1, 15], [2, 2], [3, 2], [8, 1]], 367/577895399424000], [[[1, 15], [2, 2], [3, 2], [10, 1]], 31/866843099136000], [[[1, 15], [2, 2], [3, 2], [12, 1]], 223987/1553382833651712000], [[[1, 15], [2, 2], [3, 3], [4, 1]], 1621/433421549568000], [[[1, 15], [2, 2], [3, 3], [6, 1]], 215279/124825406275584000], [[[1, 15], [2, 2], [4, 1], [6, 3]], 1/55477958344704000], [[[1, 15], [2, 2], [4, 1], [7, 1]], 71/299649466368000], [[[1, 15], [2, 2], [4, 1], [9, 1]], 1/16052649984000], [[[1, 15], [2, 2], [4, 1], [14, 1]], 1/599298932736000], [[[1, 15], [2, 2], [4, 1], [18, 1]], 1/770527199232000], [[[1, 15], [2, 2], [4, 2], [5, 1]], 4873/4403012567040000], [[[1, 15], [2, 2], [4, 2], [6, 2]], 1/821895679180800], [[[1, 15], [2, 2], [4, 2], [8, 1]], 3413/49313740750848000], [[[1, 15], [2, 2], [4, 2], [10, 1]], 17/10273695989760000], [[[1, 15], [2, 2], [4, 2], [12, 1]], 2453/1165037125238784000], [[[1, 15], [2, 2], [4, 3], [6, 1]], 139/14794122225254400], [[[1, 15], [2, 2], [5, 1], [6, 2]], 1/481579499520000], [[[1, 15], [2, 2], [5, 1], [8, 1]], 137/642105999360000], [[[1, 15], [2, 2], [5, 1], [10, 1]], 1/133772083200000], [[[1, 15], [2, 2], [6, 1], [7, 1]], 1/269684519731200], [[[1, 15], [2, 2], [6, 1], [9, 1]], 1/1040211718963200], [[[1, 15], [2, 2], [6, 1], [18, 1]], 37/174755568785817600], [[[1, 15], [2, 2], [6, 2], [12, 1]], 37/932029700191027200], [[[1, 15], [2, 4], [3, 1], [4, 2]], 82810129/7988826001637376000], [[[1, 15], [2, 4], [3, 1], [5, 1]], 6425821/647242847354880000], [[[1, 15], [2, 4], [3, 1], [6, 2]], 10125823/50329603810315468800], [[[1, 15], [2, 4], [3, 1], [8, 1]], 3756161/2330074250477568000], [[[1, 15], [2, 4], [3, 1], [10, 1]], 129461/520105859481600000], [[[1, 15], [2, 4], [3, 1], [12, 1]], 153281/1553382833651712000], [[[1, 15], [2, 4], [3, 2], [4, 1]], 929849/55477958344704000], [[[1, 15], [2, 4], [3, 2], [6, 1]], 9242141/1747555687858176000], [[[1, 15], [2, 4], [4, 1], [5, 1]], 180641/23971957309440000], [[[1, 15], [2, 4], [4, 1], [6, 2]], 533/11095591668940800], [[[1, 15], [2, 4], [4, 1], [8, 1]], 4221523/4142354223071232000], [[[1, 15], [2, 4], [4, 1], [10, 1]], 20641/215747615784960000], [[[1, 15], [2, 4], [4, 1], [12, 1]], 2791/129448569470976000], [[[1, 15], [2, 4], [4, 2], [6, 1]], 7270259/9320297001910272000], [[[1, 15], [2, 4], [5, 1], [6, 1]], 6703/11557907988480000], [[[1, 15], [2, 4], [6, 1], [8, 1]], 12521/258897138941952000], [[[1, 15], [2, 4], [6, 1], [10, 1]], 4909/485432135516160000], [[[1, 15], [2, 4], [6, 1], [12, 1]], 3163/291259281309696000], [[[1, 15], [2, 6], [3, 1], [4, 1]], 1332093563/93202970019102720000], [[[1, 15], [2, 6], [3, 1], [6, 1]], 6354032207/1887360142886830080000], [[[1, 15], [2, 6], [4, 1], [6, 1]], 56541383/31067656673034240000], [[[1, 15], [3, 1], [4, 2], [5, 1]], 191/2568423997440000], [[[1, 15], [3, 1], [4, 2], [6, 2]], 1/22191183337881600], [[[1, 15], [3, 1], [4, 2], [12, 1]], 151/499301625102336000], [[[1, 15], [3, 1], [5, 1], [6, 2]], 1/1444738498560000], [[[1, 15], [3, 1], [5, 1], [12, 1]], 1/240789749760000], [[[1, 15], [3, 1], [6, 1], [18, 1]], 1/23404763676672000], [[[1, 15], [3, 1], [6, 2], [12, 1]], 1/124825406275584000], [[[1, 15], [3, 2], [4, 1], [8, 1]], 31/1386948958617600], [[[1, 15], [4, 1], [5, 1], [8, 1]], 1/214035333120000], [[[1, 16], [2, 1], [3, 1], [4, 3]], 3971/665735500136448000], [[[1, 16], [2, 1], [3, 1], [6, 3]], 1/1123428656480256000], [[[1, 16], [2, 1], [3, 1], [7, 1]], 79/6067901693952000], [[[1, 16], [2, 1], [3, 1], [9, 1]], 13283/3883457084129280000], [[[1, 16], [2, 1], [3, 1], [14, 1]], 1/12135803387904000], [[[1, 16], [2, 1], [3, 1], [18, 1]], 1/15603175784448000], [[[1, 16], [2, 1], [3, 2], [4, 2]], 4871/332867750068224000], [[[1, 16], [2, 1], [3, 2], [5, 1]], 67/309586821120000], [[[1, 16], [2, 1], [3, 2], [6, 2]], 477947/1118435640229232640000], [[[1, 16], [2, 1], [3, 2], [8, 1]], 13/1733686198272000], [[[1, 16], [2, 1], [3, 2], [12, 1]], 477947/186405940038205440000], [[[1, 16], [2, 1], [3, 3], [4, 1]], 3067/55477958344704000], [[[1, 16], [2, 1], [3, 3], [6, 1]], 827/41608468758528000], [[[1, 16], [2, 1], [4, 1], [7, 1]], 1/599298932736000], [[[1, 16], [2, 1], [4, 1], [9, 1]], 1/2311581597696000], [[[1, 16], [2, 1], [4, 2], [5, 1]], 143/30821087969280000], [[[1, 16], [2, 1], [4, 2], [8, 1]], 23/49313740750848000], [[[1, 16], [2, 1], [4, 2], [12, 1]], 241/139804455028654080000], [[[1, 16], [2, 1], [4, 3], [6, 1]], 1/14794122225254400], [[[1, 16], [2, 1], [5, 1], [8, 1]], 1/642105999360000], [[[1, 16], [2, 1], [6, 1], [18, 1]], 241/104853341271490560000], [[[1, 16], [2, 1], [6, 2], [12, 1]], 241/559217820114616320000], [[[1, 16], [2, 3], [3, 1], [4, 2]], 3177707/9320297001910272000], [[[1, 16], [2, 3], [3, 1], [5, 1]], 286897/485432135516160000], [[[1, 16], [2, 3], [3, 1], [6, 2]], 55/20970668254298112], [[[1, 16], [2, 3], [3, 1], [8, 1]], 133121/2330074250477568000], [[[1, 16], [2, 3], [3, 1], [10, 1]], 473/104021171896320000], [[[1, 16], [2, 3], [3, 1], [12, 1]], 31/8090535591936000], [[[1, 16], [2, 3], [3, 2], [4, 1]], 135473/166433875034112000], [[[1, 16], [2, 3], [3, 2], [6, 1]], 102935347/559217820114616320000], [[[1, 16], [2, 3], [4, 1], [5, 1]], 39391/129448569470976000], [[[1, 16], [2, 3], [4, 1], [6, 2]], 19/55477958344704000], [[[1, 16], [2, 3], [4, 1], [8, 1]], 5672281/248541253384273920000], [[[1, 16], [2, 3], [4, 1], [10, 1]], 563/647242847354880000], [[[1, 16], [2, 3], [4, 1], [12, 1]], 37/77669141682585600], [[[1, 16], [2, 3], [4, 2], [6, 1]], 14249581/1118435640229232640000], [[[1, 16], [2, 3], [5, 1], [6, 1]], 143/11557907988480000], [[[1, 16], [2, 3], [6, 1], [8, 1]], 79/155338283365171200], [[[1, 16], [2, 3], [6, 1], [10, 1]], 22441/116503712523878400000], [[[1, 16], [2, 3], [6, 1], [12, 1]], 66841/279608910057308160000], [[[1, 16], [2, 5], [3, 1], [4, 1]], 113279809/93202970019102720000], [[[1, 16], [2, 5], [3, 1], [6, 1]], 6250613/29958097506140160000], [[[1, 16], [2, 5], [4, 1], [6, 1]], 509813/6213531334606848000], [[[1, 17], [2, 2], [3, 1], [4, 2]], 5171/1035588555767808000], [[[1, 17], [2, 2], [3, 1], [5, 1]], 16943/862990463139840000], [[[1, 17], [2, 2], [3, 1], [6, 2]], 12121/559217820114616320000], [[[1, 17], [2, 2], [3, 1], [8, 1]], 10169/10355885557678080000], [[[1, 17], [2, 2], [3, 1], [10, 1]], 1/34673723965440000], [[[1, 17], [2, 2], [3, 1], [12, 1]], 283/3451961852559360000], [[[1, 17], [2, 2], [3, 2], [4, 1]], 1121/55477958344704000], [[[1, 17], [2, 2], [3, 2], [6, 1]], 418567/139804455028654080000], [[[1, 17], [2, 2], [4, 1], [5, 1]], 91373/15533828336517120000], [[[1, 17], [2, 2], [4, 1], [8, 1]], 54851/248541253384273920000], [[[1, 17], [2, 2], [4, 1], [10, 1]], 241/77669141682585600000], [[[1, 17], [2, 2], [4, 1], [12, 1]], 241/46601485009551360000], [[[1, 17], [2, 2], [4, 2], [6, 1]], 97021/1118435640229232640000], [[[1, 17], [2, 2], [5, 1], [6, 1]], 1/11557907988480000], [[[1, 17], [2, 2], [6, 1], [8, 1]], 241/93202970019102720000], [[[1, 17], [2, 2], [6, 1], [10, 1]], 121/58251856261939200000], [[[1, 17], [2, 2], [6, 1], [12, 1]], 181/69902227514327040000], [[[1, 17], [2, 4], [3, 1], [4, 1]], 7735649/124270626692136960000], [[[1, 17], [2, 4], [3, 1], [6, 1]], 2065961/279608910057308160000], [[[1, 17], [2, 4], [4, 1], [6, 1]], 109303/53258840010915840000], [[[1, 17], [3, 1], [4, 1], [8, 1]], 1/55477958344704000], [[[1, 18], [2, 1], [3, 1], [4, 2]], 7967/372811880076410880000], [[[1, 18], [2, 1], [3, 1], [5, 1]], 251/776691416825856000], [[[1, 18], [2, 1], [3, 1], [6, 2]], 61/419413365085962240000], [[[1, 18], [2, 1], [3, 1], [8, 1]], 187/31067656673034240000], [[[1, 18], [2, 1], [3, 1], [12, 1]], 61/69902227514327040000], [[[1, 18], [2, 1], [3, 2], [4, 1]], 11/55477958344704000], [[[1, 18], [2, 1], [3, 2], [6, 1]], 2987/186405940038205440000], [[[1, 18], [2, 1], [4, 1], [5, 1]], 121/3106765667303424000], [[[1, 18], [2, 1], [4, 1], [8, 1]], 251/248541253384273920000], [[[1, 18], [2, 1], [4, 1], [10, 1]], 1/77669141682585600000], [[[1, 18], [2, 1], [4, 1], [12, 1]], 1/46601485009551360000], [[[1, 18], [2, 1], [6, 1], [8, 1]], 1/93202970019102720000], [[[1, 18], [2, 1], [6, 1], [10, 1]], 1/116503712523878400000], [[[1, 18], [2, 1], [6, 1], [12, 1]], 1/93202970019102720000], [[[1, 18], [2, 3], [3, 1], [4, 1]], 3883/2130353600436633600], [[[1, 18], [2, 3], [3, 1], [6, 1]], 23363/167765346034384896000], [[[1, 18], [2, 3], [4, 1], [6, 1]], 10403/372811880076410880000], [[[1, 19], [2, 2], [3, 1], [4, 1]], 677/24854125338427392000], [[[1, 19], [2, 2], [3, 1], [6, 1]], 29/23966478004912128000], [[[1, 19], [2, 2], [4, 1], [6, 1]], 247/1118435640229232640000], [[[1, 20], [2, 1], [3, 1], [4, 1]], 19/124270626692136960000], [[[1, 20], [2, 1], [3, 1], [6, 1]], 1/279608910057308160000], [[[1, 20], [2, 1], [4, 1], [6, 1]], 1/1118435640229232640000], [[[2, 1], [3, 1], [4, 8], [9, 1]], 17/1926317998080], [[[2, 1], [3, 1], [5, 4], [9, 1]], 1/77760000], [[[2, 1], [3, 1], [6, 8], [9, 1]], 1/5224277606400], [[[2, 1], [3, 1], [8, 4], [9, 1]], 1/4423680], [[[2, 1], [3, 1], [9, 1], [10, 4]], 1/77760000], [[[2, 1], [3, 1], [9, 1], [12, 4]], 23/268738560], [[[2, 1], [3, 1], [9, 1], [15, 2]], 1/194400], [[[2, 1], [3, 1], [9, 1], [16, 2]], 1/41472], [[[2, 1], [3, 1], [9, 1], [20, 2]], 1/51840], [[[2, 1], [3, 1], [9, 1], [24, 2]], 1/41472], [[[2, 1], [3, 1], [9, 1], [30, 2]], 1/194400], [[[2, 1], [3, 1], [9, 1], [40, 1]], 1/4320], [[[2, 1], [3, 1], [9, 1], [48, 1]], 1/5184], [[[2, 1], [3, 1], [9, 1], [60, 1]], 1/6480], [[[2, 1], [3, 2], [4, 2], [12, 4]], 7/35831808], [[[2, 1], [3, 2], [4, 4], [6, 6]], 1/24766945689600], [[[2, 1], [3, 2], [4, 4], [9, 2]], 1/537477120], [[[2, 1], [3, 2], [4, 4], [12, 3]], 3841/7644119040], [[[2, 1], [3, 2], [4, 6], [12, 2]], 19/5733089280], [[[2, 1], [3, 2], [4, 8], [6, 2]], 17/61642175938560], [[[2, 1], [3, 2], [4, 8], [12, 1]], 17/10273695989760], [[[2, 1], [3, 2], [5, 2], [6, 6]], 1/322486272000], [[[2, 1], [3, 2], [5, 2], [9, 2]], 1/6998400], [[[2, 1], [3, 2], [5, 2], [12, 3]], 1/99532800], [[[2, 1], [3, 2], [5, 4], [6, 2]], 1/2488320000], [[[2, 1], [3, 2], [5, 4], [12, 1]], 1/414720000], [[[2, 1], [3, 2], [6, 2], [8, 4]], 1/141557760], [[[2, 1], [3, 2], [6, 2], [10, 4]], 1/2488320000], [[[2, 1], [3, 2], [6, 2], [12, 4]], 4523/8599633920], [[[2, 1], [3, 2], [6, 2], [15, 2]], 1/6220800], [[[2, 1], [3, 2], [6, 2], [16, 2]], 1/1327104], [[[2, 1], [3, 2], [6, 2], [20, 2]], 1/1658880], [[[2, 1], [3, 2], [6, 2], [24, 2]], 49/1327104], [[[2, 1], [3, 2], [6, 2], [30, 2]], 1/6220800], [[[2, 1], [3, 2], [6, 2], [40, 1]], 1/138240], [[[2, 1], [3, 2], [6, 2], [48, 1]], 1/165888], [[[2, 1], [3, 2], [6, 2], [60, 1]], 1/207360], [[[2, 1], [3, 2], [6, 4], [9, 2]], 1/1813985280], [[[2, 1], [3, 2], [6, 4], [12, 3]], 13321/25798901760], [[[2, 1], [3, 2], [6, 4], [18, 2]], 1/20155392], [[[2, 1], [3, 2], [6, 6], [8, 2]], 1/103195607040], [[[2, 1], [3, 2], [6, 6], [10, 2]], 1/322486272000], [[[2, 1], [3, 2], [6, 6], [12, 2]], 421/154793410560], [[[2, 1], [3, 2], [6, 6], [15, 1]], 1/16124313600], [[[2, 1], [3, 2], [6, 6], [20, 1]], 1/10749542400], [[[2, 1], [3, 2], [6, 6], [24, 1]], 73/12899450880], [[[2, 1], [3, 2], [6, 6], [30, 1]], 1/16124313600], [[[2, 1], [3, 2], [6, 7], [18, 1]], 1/29023764480], [[[2, 1], [3, 2], [6, 8], [12, 1]], 181/27862813900800], [[[2, 1], [3, 2], [8, 2], [9, 2]], 1/2239488], [[[2, 1], [3, 2], [8, 2], [12, 3]], 1/31850496], [[[2, 1], [3, 2], [8, 4], [12, 1]], 1/23592960], [[[2, 1], [3, 2], [9, 2], [10, 2]], 1/6998400], [[[2, 1], [3, 2], [9, 2], [12, 2]], 1/3359232], [[[2, 1], [3, 2], [9, 2], [15, 1]], 1/349920], [[[2, 1], [3, 2], [9, 2], [20, 1]], 1/233280], [[[2, 1], [3, 2], [9, 2], [24, 1]], 1/279936], [[[2, 1], [3, 2], [9, 2], [30, 1]], 1/349920], [[[2, 1], [3, 2], [10, 2], [12, 3]], 1/99532800], [[[2, 1], [3, 2], [10, 4], [12, 1]], 1/414720000], [[[2, 1], [3, 2], [12, 1], [15, 2]], 1/1036800], [[[2, 1], [3, 2], [12, 1], [16, 2]], 1/221184], [[[2, 1], [3, 2], [12, 1], [20, 2]], 1/276480], [[[2, 1], [3, 2], [12, 1], [24, 2]], 1/221184], [[[2, 1], [3, 2], [12, 1], [30, 2]], 1/1036800], [[[2, 1], [3, 2], [12, 1], [40, 1]], 1/23040], [[[2, 1], [3, 2], [12, 1], [48, 1]], 1/27648], [[[2, 1], [3, 2], [12, 1], [60, 1]], 1/34560], [[[2, 1], [3, 2], [12, 2], [36, 1]], 1/62208], [[[2, 1], [3, 2], [12, 3], [15, 1]], 1/4976640], [[[2, 1], [3, 2], [12, 3], [20, 1]], 1/3317760], [[[2, 1], [3, 2], [12, 3], [24, 1]], 13/3981312], [[[2, 1], [3, 2], [12, 3], [30, 1]], 1/4976640], [[[2, 1], [3, 3], [6, 6], [9, 1]], 1/29023764480], [[[2, 1], [3, 3], [9, 1], [12, 3]], 1/8957952], [[[2, 1], [3, 4], [4, 2], [12, 3]], 817/19349176320], [[[2, 1], [3, 4], [4, 2], [28, 1]], 1/17418240], [[[2, 1], [3, 4], [4, 2], [36, 1]], 1/67184640], [[[2, 1], [3, 4], [4, 4], [5, 2]], 1/8599633920000], [[[2, 1], [3, 4], [4, 4], [6, 4]], 81811/2229025112064000], [[[2, 1], [3, 4], [4, 4], [8, 2]], 241/2751882854400], [[[2, 1], [3, 4], [4, 4], [10, 2]], 1/8599633920000], [[[2, 1], [3, 4], [4, 4], [12, 2]], 4111/4127824281600], [[[2, 1], [3, 4], [4, 4], [15, 1]], 1/429981696000], [[[2, 1], [3, 4], [4, 4], [20, 1]], 77/57330892800], [[[2, 1], [3, 4], [4, 4], [24, 1]], 1/343985356800], [[[2, 1], [3, 4], [4, 4], [30, 1]], 1/429981696000], [[[2, 1], [3, 4], [4, 6], [12, 1]], 19/3095868211200], [[[2, 1], [3, 4], [5, 2], [6, 4]], 81811/29023764480000], [[[2, 1], [3, 4], [5, 2], [8, 2]], 1/35831808000], [[[2, 1], [3, 4], [5, 2], [10, 2]], 301/111974400000], [[[2, 1], [3, 4], [5, 2], [12, 2]], 271/53747712000], [[[2, 1], [3, 4], [5, 2], [15, 1]], 1/5598720000], [[[2, 1], [3, 4], [5, 2], [20, 1]], 1/3732480000], [[[2, 1], [3, 4], [5, 2], [24, 1]], 1/4478976000], [[[2, 1], [3, 4], [5, 2], [30, 1]], 1/5598720000], [[[2, 1], [3, 4], [6, 2], [9, 2]], 1/20155392], [[[2, 1], [3, 4], [6, 2], [12, 3]], 13321/25798901760], [[[2, 1], [3, 4], [6, 2], [18, 2]], 1/1813985280], [[[2, 1], [3, 4], [6, 4], [8, 2]], 81811/9287604633600], [[[2, 1], [3, 4], [6, 4], [10, 2]], 81811/29023764480000], [[[2, 1], [3, 4], [6, 4], [12, 2]], 1297351/13931406950400], [[[2, 1], [3, 4], [6, 4], [15, 1]], 81811/1451188224000], [[[2, 1], [3, 4], [6, 4], [20, 1]], 81811/967458816000], [[[2, 1], [3, 4], [6, 4], [24, 1]], 665011/1160950579200], [[[2, 1], [3, 4], [6, 4], [30, 1]], 81811/1451188224000], [[[2, 1], [3, 4], [6, 5], [18, 1]], 81811/2612138803200], [[[2, 1], [3, 4], [6, 6], [12, 1]], 81901/13931406950400], [[[2, 1], [3, 4], [8, 2], [10, 2]], 1/35831808000], [[[2, 1], [3, 4], [8, 2], [12, 2]], 271/17199267840], [[[2, 1], [3, 4], [8, 2], [15, 1]], 1/1791590400], [[[2, 1], [3, 4], [8, 2], [20, 1]], 1/1194393600], [[[2, 1], [3, 4], [8, 2], [24, 1]], 11/477757440], [[[2, 1], [3, 4], [8, 2], [30, 1]], 1/1791590400], [[[2, 1], [3, 4], [9, 2], [12, 1]], 1/3359232], [[[2, 1], [3, 4], [10, 2], [12, 2]], 271/53747712000], [[[2, 1], [3, 4], [10, 2], [15, 1]], 1/5598720000], [[[2, 1], [3, 4], [10, 2], [20, 1]], 1/3732480000], [[[2, 1], [3, 4], [10, 2], [24, 1]], 1/4478976000], [[[2, 1], [3, 4], [10, 2], [30, 1]], 1/5598720000], [[[2, 1], [3, 4], [12, 1], [36, 1]], 1/33592320], [[[2, 1], [3, 4], [12, 2], [15, 1]], 271/2687385600], [[[2, 1], [3, 4], [12, 2], [20, 1]], 271/1791590400], [[[2, 1], [3, 4], [12, 2], [24, 1]], 283/2149908480], [[[2, 1], [3, 4], [12, 2], [30, 1]], 271/2687385600], [[[2, 1], [3, 4], [15, 1], [20, 1]], 1/186624000], [[[2, 1], [3, 4], [15, 1], [24, 1]], 1/223948800], [[[2, 1], [3, 4], [15, 1], [30, 1]], 1/17496000], [[[2, 1], [3, 4], [20, 1], [24, 1]], 1/149299200], [[[2, 1], [3, 4], [20, 1], [30, 1]], 1/186624000], [[[2, 1], [3, 4], [24, 1], [30, 1]], 1/223948800], [[[2, 1], [3, 5], [4, 4], [9, 1]], 1/773967052800], [[[2, 1], [3, 5], [5, 2], [9, 1]], 1/10077696000], [[[2, 1], [3, 5], [6, 4], [9, 1]], 81811/2612138803200], [[[2, 1], [3, 5], [8, 2], [9, 1]], 1/3224862720], [[[2, 1], [3, 5], [9, 1], [10, 2]], 1/10077696000], [[[2, 1], [3, 5], [9, 1], [12, 2]], 271/4837294080], [[[2, 1], [3, 5], [9, 1], [15, 1]], 1/503884800], [[[2, 1], [3, 5], [9, 1], [20, 1]], 1/335923200], [[[2, 1], [3, 5], [9, 1], [24, 1]], 1/403107840], [[[2, 1], [3, 5], [9, 1], [30, 1]], 1/503884800], [[[2, 1], [3, 6], [4, 2], [12, 2]], 1/6449725440], [[[2, 1], [3, 6], [4, 4], [6, 2]], 1/24766945689600], [[[2, 1], [3, 6], [4, 4], [12, 1]], 1/4127824281600], [[[2, 1], [3, 6], [5, 2], [6, 2]], 1/322486272000], [[[2, 1], [3, 6], [5, 2], [12, 1]], 1/53747712000], [[[2, 1], [3, 6], [6, 2], [8, 2]], 1/103195607040], [[[2, 1], [3, 6], [6, 2], [10, 2]], 1/322486272000], [[[2, 1], [3, 6], [6, 2], [12, 2]], 421/154793410560], [[[2, 1], [3, 6], [6, 2], [15, 1]], 1/16124313600], [[[2, 1], [3, 6], [6, 2], [20, 1]], 1/10749542400], [[[2, 1], [3, 6], [6, 2], [24, 1]], 73/12899450880], [[[2, 1], [3, 6], [6, 2], [30, 1]], 1/16124313600], [[[2, 1], [3, 6], [6, 3], [18, 1]], 1/29023764480], [[[2, 1], [3, 6], [6, 4], [12, 1]], 81901/13931406950400], [[[2, 1], [3, 6], [8, 2], [12, 1]], 1/17199267840], [[[2, 1], [3, 6], [10, 2], [12, 1]], 1/53747712000], [[[2, 1], [3, 6], [12, 1], [15, 1]], 1/2687385600], [[[2, 1], [3, 6], [12, 1], [20, 1]], 1/1791590400], [[[2, 1], [3, 6], [12, 1], [24, 1]], 1/2149908480], [[[2, 1], [3, 6], [12, 1], [30, 1]], 1/2687385600], [[[2, 1], [3, 7], [6, 2], [9, 1]], 1/29023764480], [[[2, 1], [3, 7], [9, 1], [12, 1]], 1/4837294080], [[[2, 1], [3, 8], [4, 2], [12, 1]], 1/6965703475200], [[[2, 1], [3, 8], [6, 1], [18, 1]], 1/5224277606400], [[[2, 1], [3, 8], [6, 2], [12, 1]], 181/27862813900800], [[[2, 1], [4, 2], [5, 2], [12, 3]], 7/74649600], [[[2, 1], [4, 2], [5, 2], [28, 1]], 1/67200], [[[2, 1], [4, 2], [5, 2], [36, 1]], 1/259200], [[[2, 1], [4, 2], [5, 4], [12, 1]], 1/103680000], [[[2, 1], [4, 2], [6, 2], [12, 4]], 7/35831808], [[[2, 1], [4, 2], [6, 4], [12, 3]], 817/19349176320], [[[2, 1], [4, 2], [6, 4], [28, 1]], 1/17418240], [[[2, 1], [4, 2], [6, 4], [36, 1]], 1/67184640], [[[2, 1], [4, 2], [6, 6], [12, 2]], 1/6449725440], [[[2, 1], [4, 2], [6, 8], [12, 1]], 1/6965703475200], [[[2, 1], [4, 2], [8, 2], [12, 3]], 43/23887872], [[[2, 1], [4, 2], [8, 2], [28, 1]], 1/21504], [[[2, 1], [4, 2], [8, 2], [36, 1]], 1/82944], [[[2, 1], [4, 2], [8, 3], [16, 1]], 1/98304], [[[2, 1], [4, 2], [8, 4], [12, 1]], 43/17694720], [[[2, 1], [4, 2], [10, 2], [12, 3]], 7/74649600], [[[2, 1], [4, 2], [10, 2], [28, 1]], 1/67200], [[[2, 1], [4, 2], [10, 2], [36, 1]], 1/259200], [[[2, 1], [4, 2], [10, 4], [12, 1]], 1/103680000], [[[2, 1], [4, 2], [12, 1], [15, 2]], 1/259200], [[[2, 1], [4, 2], [12, 1], [16, 2]], 1/55296], [[[2, 1], [4, 2], [12, 1], [20, 2]], 77/345600], [[[2, 1], [4, 2], [12, 1], [24, 2]], 5/55296], [[[2, 1], [4, 2], [12, 1], [30, 2]], 1/259200], [[[2, 1], [4, 2], [12, 1], [40, 1]], 1/5760], [[[2, 1], [4, 2], [12, 1], [48, 1]], 1/6912], [[[2, 1], [4, 2], [12, 1], [60, 1]], 1/8640], [[[2, 1], [4, 2], [12, 2], [28, 1]], 1/32256], [[[2, 1], [4, 2], [12, 2], [36, 1]], 11/4608], [[[2, 1], [4, 2], [12, 3], [15, 1]], 7/3732480], [[[2, 1], [4, 2], [12, 3], [20, 1]], 43/2488320], [[[2, 1], [4, 2], [12, 3], [24, 1]], 61/2985984], [[[2, 1], [4, 2], [12, 3], [30, 1]], 7/3732480], [[[2, 1], [4, 2], [15, 1], [28, 1]], 1/3360], [[[2, 1], [4, 2], [15, 1], [36, 1]], 1/12960], [[[2, 1], [4, 2], [20, 1], [28, 1]], 1/2240], [[[2, 1], [4, 2], [20, 1], [36, 1]], 1/8640], [[[2, 1], [4, 2], [24, 1], [28, 1]], 1/2688], [[[2, 1], [4, 2], [24, 1], [36, 1]], 1/10368], [[[2, 1], [4, 2], [28, 1], [30, 1]], 1/3360], [[[2, 1], [4, 2], [30, 1], [36, 1]], 1/12960], [[[2, 1], [4, 4], [5, 2], [6, 4]], 1/8599633920000], [[[2, 1], [4, 4], [5, 2], [8, 2]], 241/10616832000], [[[2, 1], [4, 4], [5, 2], [10, 2]], 301/33177600000], [[[2, 1], [4, 4], [5, 2], [12, 2]], 3841/15925248000], [[[2, 1], [4, 4], [5, 2], [15, 1]], 1/1658880000], [[[2, 1], [4, 4], [5, 2], [20, 1]], 77/221184000], [[[2, 1], [4, 4], [5, 2], [24, 1]], 1/1327104000], [[[2, 1], [4, 4], [5, 2], [30, 1]], 1/1658880000], [[[2, 1], [4, 4], [6, 2], [12, 3]], 3841/7644119040], [[[2, 1], [4, 4], [6, 2], [18, 2]], 1/537477120], [[[2, 1], [4, 4], [6, 4], [8, 2]], 241/2751882854400], [[[2, 1], [4, 4], [6, 4], [10, 2]], 1/8599633920000], [[[2, 1], [4, 4], [6, 4], [12, 2]], 4111/4127824281600], [[[2, 1], [4, 4], [6, 4], [15, 1]], 1/429981696000], [[[2, 1], [4, 4], [6, 4], [20, 1]], 77/57330892800], [[[2, 1], [4, 4], [6, 4], [24, 1]], 1/343985356800], [[[2, 1], [4, 4], [6, 4], [30, 1]], 1/429981696000], [[[2, 1], [4, 4], [6, 5], [18, 1]], 1/773967052800], [[[2, 1], [4, 4], [6, 6], [12, 1]], 1/4127824281600], [[[2, 1], [4, 4], [8, 2], [10, 2]], 241/10616832000], [[[2, 1], [4, 4], [8, 2], [12, 2]], 34801/5096079360], [[[2, 1], [4, 4], [8, 2], [15, 1]], 241/530841600], [[[2, 1], [4, 4], [8, 2], [20, 1]], 25/14155776], [[[2, 1], [4, 4], [8, 2], [24, 1]], 91/141557760], [[[2, 1], [4, 4], [8, 2], [30, 1]], 241/530841600], [[[2, 1], [4, 4], [10, 2], [12, 2]], 3841/15925248000], [[[2, 1], [4, 4], [10, 2], [15, 1]], 1/1658880000], [[[2, 1], [4, 4], [10, 2], [20, 1]], 77/221184000], [[[2, 1], [4, 4], [10, 2], [24, 1]], 1/1327104000], [[[2, 1], [4, 4], [10, 2], [30, 1]], 1/1658880000], [[[2, 1], [4, 4], [12, 1], [28, 1]], 1/8064], [[[2, 1], [4, 4], [12, 1], [36, 1]], 107/3317760], [[[2, 1], [4, 4], [12, 2], [15, 1]], 3841/796262400], [[[2, 1], [4, 4], [12, 2], [20, 1]], 6989/106168320], [[[2, 1], [4, 4], [12, 2], [24, 1]], 19213/637009920], [[[2, 1], [4, 4], [12, 2], [30, 1]], 3841/796262400], [[[2, 1], [4, 4], [15, 1], [20, 1]], 77/11059200], [[[2, 1], [4, 4], [15, 1], [24, 1]], 1/66355200], [[[2, 1], [4, 4], [15, 1], [30, 1]], 1/5184000], [[[2, 1], [4, 4], [20, 1], [24, 1]], 77/8847360], [[[2, 1], [4, 4], [20, 1], [30, 1]], 77/11059200], [[[2, 1], [4, 4], [24, 1], [30, 1]], 1/66355200], [[[2, 1], [4, 6], [5, 2], [12, 1]], 19/11943936000], [[[2, 1], [4, 6], [6, 2], [12, 2]], 19/5733089280], [[[2, 1], [4, 6], [6, 4], [12, 1]], 19/3095868211200], [[[2, 1], [4, 6], [8, 1], [16, 1]], 1/23592960], [[[2, 1], [4, 6], [8, 2], [12, 1]], 155/764411904], [[[2, 1], [4, 6], [10, 2], [12, 1]], 19/11943936000], [[[2, 1], [4, 6], [12, 1], [15, 1]], 19/597196800], [[[2, 1], [4, 6], [12, 1], [20, 1]], 1207/398131200], [[[2, 1], [4, 6], [12, 1], [24, 1]], 37/477757440], [[[2, 1], [4, 6], [12, 1], [30, 1]], 19/597196800], [[[2, 1], [4, 8], [6, 1], [18, 1]], 17/1926317998080], [[[2, 1], [4, 8], [6, 2], [12, 1]], 17/10273695989760], [[[2, 1], [5, 2], [6, 2], [12, 3]], 1/99532800], [[[2, 1], [5, 2], [6, 2], [18, 2]], 1/6998400], [[[2, 1], [5, 2], [6, 4], [8, 2]], 1/35831808000], [[[2, 1], [5, 2], [6, 4], [10, 2]], 301/111974400000], [[[2, 1], [5, 2], [6, 4], [12, 2]], 271/53747712000], [[[2, 1], [5, 2], [6, 4], [15, 1]], 1/5598720000], [[[2, 1], [5, 2], [6, 4], [20, 1]], 1/3732480000], [[[2, 1], [5, 2], [6, 4], [24, 1]], 1/4478976000], [[[2, 1], [5, 2], [6, 4], [30, 1]], 1/5598720000], [[[2, 1], [5, 2], [6, 5], [18, 1]], 1/10077696000], [[[2, 1], [5, 2], [6, 6], [12, 1]], 1/53747712000], [[[2, 1], [5, 2], [8, 2], [10, 2]], 301/138240000], [[[2, 1], [5, 2], [8, 2], [12, 2]], 1/66355200], [[[2, 1], [5, 2], [8, 2], [15, 1]], 1/6912000], [[[2, 1], [5, 2], [8, 2], [20, 1]], 1/4608000], [[[2, 1], [5, 2], [8, 2], [24, 1]], 11/1843200], [[[2, 1], [5, 2], [8, 2], [30, 1]], 1/6912000], [[[2, 1], [5, 2], [10, 2], [12, 2]], 301/207360000], [[[2, 1], [5, 2], [10, 2], [15, 1]], 301/21600000], [[[2, 1], [5, 2], [10, 2], [20, 1]], 301/14400000], [[[2, 1], [5, 2], [10, 2], [24, 1]], 301/17280000], [[[2, 1], [5, 2], [10, 2], [30, 1]], 301/21600000], [[[2, 1], [5, 2], [12, 1], [36, 1]], 1/129600], [[[2, 1], [5, 2], [12, 2], [15, 1]], 1/10368000], [[[2, 1], [5, 2], [12, 2], [20, 1]], 1/6912000], [[[2, 1], [5, 2], [12, 2], [24, 1]], 13/8294400], [[[2, 1], [5, 2], [12, 2], [30, 1]], 1/10368000], [[[2, 1], [5, 2], [15, 1], [20, 1]], 1/720000], [[[2, 1], [5, 2], [15, 1], [24, 1]], 1/864000], [[[2, 1], [5, 2], [15, 1], [30, 1]], 1/67500], [[[2, 1], [5, 2], [20, 1], [24, 1]], 1/576000], [[[2, 1], [5, 2], [20, 1], [30, 1]], 1/720000], [[[2, 1], [5, 2], [24, 1], [30, 1]], 1/864000], [[[2, 1], [5, 4], [6, 1], [18, 1]], 1/77760000], [[[2, 1], [5, 4], [6, 2], [12, 1]], 1/414720000], [[[2, 1], [6, 1], [8, 4], [18, 1]], 1/4423680], [[[2, 1], [6, 1], [10, 4], [18, 1]], 1/77760000], [[[2, 1], [6, 1], [12, 4], [18, 1]], 23/268738560], [[[2, 1], [6, 1], [15, 2], [18, 1]], 1/194400], [[[2, 1], [6, 1], [16, 2], [18, 1]], 1/41472], [[[2, 1], [6, 1], [18, 1], [20, 2]], 1/51840], [[[2, 1], [6, 1], [18, 1], [24, 2]], 1/41472], [[[2, 1], [6, 1], [18, 1], [30, 2]], 1/194400], [[[2, 1], [6, 1], [18, 1], [40, 1]], 1/4320], [[[2, 1], [6, 1], [18, 1], [48, 1]], 1/5184], [[[2, 1], [6, 1], [18, 1], [60, 1]], 1/6480], [[[2, 1], [6, 2], [8, 2], [12, 3]], 1/31850496], [[[2, 1], [6, 2], [8, 2], [18, 2]], 1/2239488], [[[2, 1], [6, 2], [8, 4], [12, 1]], 1/23592960], [[[2, 1], [6, 2], [10, 2], [12, 3]], 1/99532800], [[[2, 1], [6, 2], [10, 2], [18, 2]], 1/6998400], [[[2, 1], [6, 2], [10, 4], [12, 1]], 1/414720000], [[[2, 1], [6, 2], [12, 1], [15, 2]], 1/1036800], [[[2, 1], [6, 2], [12, 1], [16, 2]], 1/221184], [[[2, 1], [6, 2], [12, 1], [20, 2]], 1/276480], [[[2, 1], [6, 2], [12, 1], [24, 2]], 1/221184], [[[2, 1], [6, 2], [12, 1], [30, 2]], 1/1036800], [[[2, 1], [6, 2], [12, 1], [40, 1]], 1/23040], [[[2, 1], [6, 2], [12, 1], [48, 1]], 1/27648], [[[2, 1], [6, 2], [12, 1], [60, 1]], 1/34560], [[[2, 1], [6, 2], [12, 2], [18, 2]], 1/3359232], [[[2, 1], [6, 2], [12, 2], [36, 1]], 1/62208], [[[2, 1], [6, 2], [12, 3], [15, 1]], 1/4976640], [[[2, 1], [6, 2], [12, 3], [20, 1]], 1/3317760], [[[2, 1], [6, 2], [12, 3], [24, 1]], 13/3981312], [[[2, 1], [6, 2], [12, 3], [30, 1]], 1/4976640], [[[2, 1], [6, 2], [15, 1], [18, 2]], 1/349920], [[[2, 1], [6, 2], [18, 2], [20, 1]], 1/233280], [[[2, 1], [6, 2], [18, 2], [24, 1]], 1/279936], [[[2, 1], [6, 2], [18, 2], [30, 1]], 1/349920], [[[2, 1], [6, 3], [12, 3], [18, 1]], 1/8957952], [[[2, 1], [6, 4], [8, 2], [10, 2]], 1/35831808000], [[[2, 1], [6, 4], [8, 2], [12, 2]], 271/17199267840], [[[2, 1], [6, 4], [8, 2], [15, 1]], 1/1791590400], [[[2, 1], [6, 4], [8, 2], [20, 1]], 1/1194393600], [[[2, 1], [6, 4], [8, 2], [24, 1]], 11/477757440], [[[2, 1], [6, 4], [8, 2], [30, 1]], 1/1791590400], [[[2, 1], [6, 4], [10, 2], [12, 2]], 271/53747712000], [[[2, 1], [6, 4], [10, 2], [15, 1]], 1/5598720000], [[[2, 1], [6, 4], [10, 2], [20, 1]], 1/3732480000], [[[2, 1], [6, 4], [10, 2], [24, 1]], 1/4478976000], [[[2, 1], [6, 4], [10, 2], [30, 1]], 1/5598720000], [[[2, 1], [6, 4], [12, 1], [18, 2]], 1/3359232], [[[2, 1], [6, 4], [12, 1], [36, 1]], 1/33592320], [[[2, 1], [6, 4], [12, 2], [15, 1]], 271/2687385600], [[[2, 1], [6, 4], [12, 2], [20, 1]], 271/1791590400], [[[2, 1], [6, 4], [12, 2], [24, 1]], 283/2149908480], [[[2, 1], [6, 4], [12, 2], [30, 1]], 271/2687385600], [[[2, 1], [6, 4], [15, 1], [20, 1]], 1/186624000], [[[2, 1], [6, 4], [15, 1], [24, 1]], 1/223948800], [[[2, 1], [6, 4], [15, 1], [30, 1]], 1/17496000], [[[2, 1], [6, 4], [20, 1], [24, 1]], 1/149299200], [[[2, 1], [6, 4], [20, 1], [30, 1]], 1/186624000], [[[2, 1], [6, 4], [24, 1], [30, 1]], 1/223948800], [[[2, 1], [6, 5], [8, 2], [18, 1]], 1/3224862720], [[[2, 1], [6, 5], [10, 2], [18, 1]], 1/10077696000], [[[2, 1], [6, 5], [12, 2], [18, 1]], 271/4837294080], [[[2, 1], [6, 5], [15, 1], [18, 1]], 1/503884800], [[[2, 1], [6, 5], [18, 1], [20, 1]], 1/335923200], [[[2, 1], [6, 5], [18, 1], [24, 1]], 1/403107840], [[[2, 1], [6, 5], [18, 1], [30, 1]], 1/503884800], [[[2, 1], [6, 6], [8, 2], [12, 1]], 1/17199267840], [[[2, 1], [6, 6], [10, 2], [12, 1]], 1/53747712000], [[[2, 1], [6, 6], [12, 1], [15, 1]], 1/2687385600], [[[2, 1], [6, 6], [12, 1], [20, 1]], 1/1791590400], [[[2, 1], [6, 6], [12, 1], [24, 1]], 1/2149908480], [[[2, 1], [6, 6], [12, 1], [30, 1]], 1/2687385600], [[[2, 1], [6, 7], [12, 1], [18, 1]], 1/4837294080], [[[2, 1], [8, 2], [10, 2], [12, 2]], 1/66355200], [[[2, 1], [8, 2], [10, 2], [15, 1]], 1/6912000], [[[2, 1], [8, 2], [10, 2], [20, 1]], 1/4608000], [[[2, 1], [8, 2], [10, 2], [24, 1]], 11/1843200], [[[2, 1], [8, 2], [10, 2], [30, 1]], 1/6912000], [[[2, 1], [8, 2], [12, 1], [36, 1]], 1/41472], [[[2, 1], [8, 2], [12, 2], [15, 1]], 1/3317760], [[[2, 1], [8, 2], [12, 2], [20, 1]], 1/2211840], [[[2, 1], [8, 2], [12, 2], [24, 1]], 5/294912], [[[2, 1], [8, 2], [12, 2], [30, 1]], 1/3317760], [[[2, 1], [8, 2], [15, 1], [20, 1]], 1/230400], [[[2, 1], [8, 2], [15, 1], [24, 1]], 11/92160], [[[2, 1], [8, 2], [15, 1], [30, 1]], 1/21600], [[[2, 1], [8, 2], [20, 1], [24, 1]], 11/61440], [[[2, 1], [8, 2], [20, 1], [30, 1]], 1/230400], [[[2, 1], [8, 2], [24, 1], [30, 1]], 11/92160], [[[2, 1], [10, 2], [12, 1], [36, 1]], 1/129600], [[[2, 1], [10, 2], [12, 2], [15, 1]], 1/10368000], [[[2, 1], [10, 2], [12, 2], [20, 1]], 1/6912000], [[[2, 1], [10, 2], [12, 2], [24, 1]], 13/8294400], [[[2, 1], [10, 2], [12, 2], [30, 1]], 1/10368000], [[[2, 1], [10, 2], [15, 1], [20, 1]], 1/720000], [[[2, 1], [10, 2], [15, 1], [24, 1]], 1/864000], [[[2, 1], [10, 2], [15, 1], [30, 1]], 1/67500], [[[2, 1], [10, 2], [20, 1], [24, 1]], 1/576000], [[[2, 1], [10, 2], [20, 1], [30, 1]], 1/720000], [[[2, 1], [10, 2], [24, 1], [30, 1]], 1/864000], [[[2, 1], [12, 1], [15, 1], [36, 1]], 1/6480], [[[2, 1], [12, 1], [20, 1], [36, 1]], 1/4320], [[[2, 1], [12, 1], [24, 1], [36, 1]], 1/5184], [[[2, 1], [12, 1], [30, 1], [36, 1]], 1/6480], [[[2, 1], [12, 2], [15, 1], [20, 1]], 1/345600], [[[2, 1], [12, 2], [15, 1], [24, 1]], 13/414720], [[[2, 1], [12, 2], [15, 1], [30, 1]], 1/32400], [[[2, 1], [12, 2], [20, 1], [24, 1]], 13/276480], [[[2, 1], [12, 2], [20, 1], [30, 1]], 1/345600], [[[2, 1], [12, 2], [24, 1], [30, 1]], 13/414720], [[[2, 1], [15, 1], [20, 1], [24, 1]], 1/28800], [[[2, 1], [15, 1], [20, 1], [30, 1]], 1/2250], [[[2, 1], [15, 1], [24, 1], [30, 1]], 1/2700], [[[2, 1], [20, 1], [24, 1], [30, 1]], 1/28800], [[[2, 3], [3, 1], [6, 7], [9, 1]], 1/130606940160], [[[2, 3], [3, 2], [4, 2], [6, 7]], 1/309586821120], [[[2, 3], [3, 2], [4, 4], [6, 5]], 11/12383472844800], [[[2, 3], [3, 2], [4, 6], [6, 3]], 1/91729428480], [[[2, 3], [3, 2], [4, 8], [6, 1]], 17/30821087969280], [[[2, 3], [3, 2], [5, 2], [6, 5]], 11/161243136000], [[[2, 3], [3, 2], [5, 4], [6, 1]], 1/1244160000], [[[2, 3], [3, 2], [6, 1], [8, 4]], 1/70778880], [[[2, 3], [3, 2], [6, 1], [10, 4]], 1/1244160000], [[[2, 3], [3, 2], [6, 1], [12, 4]], 203/4299816960], [[[2, 3], [3, 2], [6, 1], [15, 2]], 1/3110400], [[[2, 3], [3, 2], [6, 1], [16, 2]], 1/663552], [[[2, 3], [3, 2], [6, 1], [20, 2]], 1/829440], [[[2, 3], [3, 2], [6, 1], [24, 2]], 1/663552], [[[2, 3], [3, 2], [6, 1], [30, 2]], 1/3110400], [[[2, 3], [3, 2], [6, 1], [40, 1]], 1/69120], [[[2, 3], [3, 2], [6, 1], [48, 1]], 1/82944], [[[2, 3], [3, 2], [6, 1], [60, 1]], 1/103680], [[[2, 3], [3, 2], [6, 3], [9, 2]], 1/90699264], [[[2, 3], [3, 2], [6, 3], [10, 3]], 1/124416000], [[[2, 3], [3, 2], [6, 3], [12, 3]], 1369/1289945088], [[[2, 3], [3, 2], [6, 3], [18, 2]], 1/6718464], [[[2, 3], [3, 2], [6, 5], [8, 2]], 11/51597803520], [[[2, 3], [3, 2], [6, 5], [10, 2]], 11/161243136000], [[[2, 3], [3, 2], [6, 5], [12, 2]], 2327/77396705280], [[[2, 3], [3, 2], [6, 5], [15, 1]], 11/8062156800], [[[2, 3], [3, 2], [6, 5], [20, 1]], 11/5374771200], [[[2, 3], [3, 2], [6, 5], [24, 1]], 731/6449725440], [[[2, 3], [3, 2], [6, 5], [30, 1]], 11/8062156800], [[[2, 3], [3, 2], [6, 6], [14, 1]], 1/15049359360], [[[2, 3], [3, 2], [6, 6], [18, 1]], 1/1289945088], [[[2, 3], [3, 2], [6, 7], [10, 1]], 1/32248627200], [[[2, 3], [3, 2], [6, 7], [12, 1]], 109/696570347520], [[[2, 3], [3, 2], [9, 2], [14, 1]], 1/326592], [[[2, 3], [3, 2], [9, 2], [18, 1]], 1/1259712], [[[2, 3], [3, 2], [12, 3], [14, 1]], 1/4644864], [[[2, 3], [3, 2], [12, 3], [18, 1]], 1/17915904], [[[2, 3], [3, 3], [6, 5], [9, 1]], 11/14511882240], [[[2, 3], [3, 4], [4, 1], [8, 3]], 1/7644119040], [[[2, 3], [3, 4], [4, 2], [6, 5]], 81811/27862813900800], [[[2, 3], [3, 4], [4, 4], [6, 3]], 811/111451255603200], [[[2, 3], [3, 4], [4, 4], [14, 1]], 1/401316249600], [[[2, 3], [3, 4], [4, 4], [18, 1]], 1/1547934105600], [[[2, 3], [3, 4], [4, 5], [8, 1]], 1/1834588569600], [[[2, 3], [3, 4], [4, 6], [6, 1]], 1/8255648563200], [[[2, 3], [3, 4], [5, 2], [6, 3]], 811/1451188224000], [[[2, 3], [3, 4], [5, 2], [14, 1]], 1/5225472000], [[[2, 3], [3, 4], [5, 2], [18, 1]], 1/20155392000], [[[2, 3], [3, 4], [6, 1], [9, 2]], 1/10077696], [[[2, 3], [3, 4], [6, 1], [10, 3]], 1/11197440000], [[[2, 3], [3, 4], [6, 1], [12, 3]], 361/12899450880], [[[2, 3], [3, 4], [6, 1], [18, 2]], 1/1813985280], [[[2, 3], [3, 4], [6, 3], [8, 2]], 811/464380231680], [[[2, 3], [3, 4], [6, 3], [10, 2]], 811/1451188224000], [[[2, 3], [3, 4], [6, 3], [12, 2]], 25499/139314069504], [[[2, 3], [3, 4], [6, 3], [15, 1]], 811/72559411200], [[[2, 3], [3, 4], [6, 3], [20, 1]], 811/48372940800], [[[2, 3], [3, 4], [6, 3], [24, 1]], 59131/58047528960], [[[2, 3], [3, 4], [6, 3], [30, 1]], 811/72559411200], [[[2, 3], [3, 4], [6, 4], [14, 1]], 81811/1354442342400], [[[2, 3], [3, 4], [6, 4], [18, 1]], 114251/5224277606400], [[[2, 3], [3, 4], [6, 5], [10, 1]], 81811/2902376448000], [[[2, 3], [3, 4], [6, 5], [12, 1]], 90911/6965703475200], [[[2, 3], [3, 4], [8, 2], [14, 1]], 1/1672151040], [[[2, 3], [3, 4], [8, 2], [18, 1]], 1/6449725440], [[[2, 3], [3, 4], [10, 2], [14, 1]], 1/5225472000], [[[2, 3], [3, 4], [10, 2], [18, 1]], 1/20155392000], [[[2, 3], [3, 4], [12, 2], [14, 1]], 271/2508226560], [[[2, 3], [3, 4], [12, 2], [18, 1]], 271/9674588160], [[[2, 3], [3, 4], [14, 1], [15, 1]], 1/261273600], [[[2, 3], [3, 4], [14, 1], [20, 1]], 1/174182400], [[[2, 3], [3, 4], [14, 1], [24, 1]], 1/209018880], [[[2, 3], [3, 4], [14, 1], [30, 1]], 1/261273600], [[[2, 3], [3, 4], [15, 1], [18, 1]], 1/1007769600], [[[2, 3], [3, 4], [18, 1], [20, 1]], 1/671846400], [[[2, 3], [3, 4], [18, 1], [24, 1]], 1/806215680], [[[2, 3], [3, 4], [18, 1], [30, 1]], 1/1007769600], [[[2, 3], [3, 5], [6, 3], [9, 1]], 811/130606940160], [[[2, 3], [3, 5], [9, 1], [14, 1]], 1/470292480], [[[2, 3], [3, 5], [9, 1], [18, 1]], 1/1813985280], [[[2, 3], [3, 6], [4, 2], [6, 3]], 1/309586821120], [[[2, 3], [3, 6], [4, 4], [6, 1]], 1/12383472844800], [[[2, 3], [3, 6], [5, 2], [6, 1]], 1/161243136000], [[[2, 3], [3, 6], [6, 1], [8, 2]], 1/51597803520], [[[2, 3], [3, 6], [6, 1], [10, 2]], 1/161243136000], [[[2, 3], [3, 6], [6, 1], [12, 2]], 277/77396705280], [[[2, 3], [3, 6], [6, 1], [15, 1]], 1/8062156800], [[[2, 3], [3, 6], [6, 1], [20, 1]], 1/5374771200], [[[2, 3], [3, 6], [6, 1], [24, 1]], 1/6449725440], [[[2, 3], [3, 6], [6, 1], [30, 1]], 1/8062156800], [[[2, 3], [3, 6], [6, 2], [14, 1]], 1/15049359360], [[[2, 3], [3, 6], [6, 2], [18, 1]], 1/11609505792], [[[2, 3], [3, 6], [6, 3], [10, 1]], 1/32248627200], [[[2, 3], [3, 6], [6, 3], [12, 1]], 829/696570347520], [[[2, 3], [3, 6], [12, 1], [14, 1]], 1/2508226560], [[[2, 3], [3, 6], [12, 1], [18, 1]], 1/9674588160], [[[2, 3], [3, 7], [6, 1], [9, 1]], 1/14511882240], [[[2, 3], [3, 8], [4, 1], [8, 1]], 1/12383472844800], [[[2, 3], [3, 8], [4, 2], [6, 1]], 1/55725627801600], [[[2, 3], [3, 8], [6, 1], [10, 1]], 1/5804752896000], [[[2, 3], [3, 8], [6, 1], [12, 1]], 181/13931406950400], [[[2, 3], [4, 1], [5, 2], [8, 3]], 1/29491200], [[[2, 3], [4, 1], [5, 4], [8, 1]], 1/184320000], [[[2, 3], [4, 1], [6, 4], [8, 3]], 1/7644119040], [[[2, 3], [4, 1], [6, 8], [8, 1]], 1/12383472844800], [[[2, 3], [4, 1], [8, 1], [10, 4]], 1/184320000], [[[2, 3], [4, 1], [8, 1], [12, 4]], 23/637009920], [[[2, 3], [4, 1], [8, 1], [15, 2]], 1/460800], [[[2, 3], [4, 1], [8, 1], [16, 2]], 1/98304], [[[2, 3], [4, 1], [8, 1], [20, 2]], 1/122880], [[[2, 3], [4, 1], [8, 1], [24, 2]], 1/98304], [[[2, 3], [4, 1], [8, 1], [30, 2]], 1/460800], [[[2, 3], [4, 1], [8, 1], [40, 1]], 1/10240], [[[2, 3], [4, 1], [8, 1], [48, 1]], 1/12288], [[[2, 3], [4, 1], [8, 1], [60, 1]], 1/15360], [[[2, 3], [4, 1], [8, 3], [10, 2]], 1/29491200], [[[2, 3], [4, 1], [8, 3], [12, 2]], 1/14155776], [[[2, 3], [4, 1], [8, 3], [15, 1]], 1/1474560], [[[2, 3], [4, 1], [8, 3], [20, 1]], 1/983040], [[[2, 3], [4, 1], [8, 3], [24, 1]], 11/393216], [[[2, 3], [4, 1], [8, 3], [30, 1]], 1/1474560], [[[2, 3], [4, 2], [5, 2], [6, 5]], 1/107495424000], [[[2, 3], [4, 2], [5, 4], [6, 1]], 1/829440000], [[[2, 3], [4, 2], [6, 1], [8, 4]], 1/47185920], [[[2, 3], [4, 2], [6, 1], [10, 4]], 1/829440000], [[[2, 3], [4, 2], [6, 1], [12, 4]], 127/318504960], [[[2, 3], [4, 2], [6, 1], [15, 2]], 1/2073600], [[[2, 3], [4, 2], [6, 1], [16, 2]], 1/442368], [[[2, 3], [4, 2], [6, 1], [20, 2]], 1/552960], [[[2, 3], [4, 2], [6, 1], [24, 2]], 1/442368], [[[2, 3], [4, 2], [6, 1], [30, 2]], 1/2073600], [[[2, 3], [4, 2], [6, 1], [40, 1]], 1/46080], [[[2, 3], [4, 2], [6, 1], [48, 1]], 1/55296], [[[2, 3], [4, 2], [6, 1], [60, 1]], 1/69120], [[[2, 3], [4, 2], [6, 3], [12, 3]], 1433/7739670528], [[[2, 3], [4, 2], [6, 3], [18, 2]], 1/6718464], [[[2, 3], [4, 2], [6, 3], [28, 1]], 1/870912], [[[2, 3], [4, 2], [6, 3], [36, 1]], 1/3359232], [[[2, 3], [4, 2], [6, 5], [8, 2]], 1/34398535680], [[[2, 3], [4, 2], [6, 5], [10, 2]], 1/107495424000], [[[2, 3], [4, 2], [6, 5], [12, 2]], 149/17199267840], [[[2, 3], [4, 2], [6, 5], [15, 1]], 1/5374771200], [[[2, 3], [4, 2], [6, 5], [20, 1]], 1/3583180800], [[[2, 3], [4, 2], [6, 5], [24, 1]], 1/4299816960], [[[2, 3], [4, 2], [6, 5], [30, 1]], 1/5374771200], [[[2, 3], [4, 2], [6, 6], [18, 1]], 1/9674588160], [[[2, 3], [4, 2], [6, 7], [12, 1]], 7/278628139008], [[[2, 3], [4, 2], [12, 3], [14, 1]], 1/497664], [[[2, 3], [4, 2], [12, 3], [18, 1]], 7/13436928], [[[2, 3], [4, 2], [14, 1], [28, 1]], 1/3136], [[[2, 3], [4, 2], [14, 1], [36, 1]], 1/12096], [[[2, 3], [4, 2], [18, 1], [28, 1]], 1/12096], [[[2, 3], [4, 2], [18, 1], [36, 1]], 1/46656], [[[2, 3], [4, 3], [8, 1], [12, 3]], 7/15925248], [[[2, 3], [4, 3], [8, 1], [28, 1]], 1/14336], [[[2, 3], [4, 3], [8, 1], [36, 1]], 1/55296], [[[2, 3], [4, 3], [8, 2], [16, 1]], 1/65536], [[[2, 3], [4, 3], [8, 3], [12, 1]], 13/3538944], [[[2, 3], [4, 4], [5, 2], [6, 3]], 1/429981696000], [[[2, 3], [4, 4], [5, 2], [14, 1]], 1/1548288000], [[[2, 3], [4, 4], [5, 2], [18, 1]], 1/5971968000], [[[2, 3], [4, 4], [6, 1], [10, 3]], 1/3317760000], [[[2, 3], [4, 4], [6, 1], [12, 3]], 12643/11466178560], [[[2, 3], [4, 4], [6, 1], [18, 2]], 1/537477120], [[[2, 3], [4, 4], [6, 1], [28, 1]], 1/64512], [[[2, 3], [4, 4], [6, 1], [36, 1]], 1/248832], [[[2, 3], [4, 4], [6, 3], [8, 2]], 241/137594142720], [[[2, 3], [4, 4], [6, 3], [10, 2]], 1/429981696000], [[[2, 3], [4, 4], [6, 3], [12, 2]], 2507/41278242816], [[[2, 3], [4, 4], [6, 3], [15, 1]], 1/21499084800], [[[2, 3], [4, 4], [6, 3], [20, 1]], 77/2866544640], [[[2, 3], [4, 4], [6, 3], [24, 1]], 1/17199267840], [[[2, 3], [4, 4], [6, 3], [30, 1]], 1/21499084800], [[[2, 3], [4, 4], [6, 4], [14, 1]], 1/401316249600], [[[2, 3], [4, 4], [6, 4], [18, 1]], 41/1547934105600], [[[2, 3], [4, 4], [6, 5], [10, 1]], 1/859963392000], [[[2, 3], [4, 4], [6, 5], [12, 1]], 19/229323571200], [[[2, 3], [4, 4], [8, 2], [14, 1]], 241/495452160], [[[2, 3], [4, 4], [8, 2], [18, 1]], 241/1911029760], [[[2, 3], [4, 4], [10, 2], [14, 1]], 1/1548288000], [[[2, 3], [4, 4], [10, 2], [18, 1]], 1/5971968000], [[[2, 3], [4, 4], [12, 2], [14, 1]], 3841/743178240], [[[2, 3], [4, 4], [12, 2], [18, 1]], 3841/2866544640], [[[2, 3], [4, 4], [14, 1], [15, 1]], 1/77414400], [[[2, 3], [4, 4], [14, 1], [20, 1]], 11/1474560], [[[2, 3], [4, 4], [14, 1], [24, 1]], 1/61931520], [[[2, 3], [4, 4], [14, 1], [30, 1]], 1/77414400], [[[2, 3], [4, 4], [15, 1], [18, 1]], 1/298598400], [[[2, 3], [4, 4], [18, 1], [20, 1]], 77/39813120], [[[2, 3], [4, 4], [18, 1], [24, 1]], 1/238878720], [[[2, 3], [4, 4], [18, 1], [30, 1]], 1/298598400], [[[2, 3], [4, 5], [5, 2], [8, 1]], 1/7077888000], [[[2, 3], [4, 5], [6, 4], [8, 1]], 1/1834588569600], [[[2, 3], [4, 5], [8, 1], [10, 2]], 1/7077888000], [[[2, 3], [4, 5], [8, 1], [12, 2]], 3841/3397386240], [[[2, 3], [4, 5], [8, 1], [15, 1]], 1/353894400], [[[2, 3], [4, 5], [8, 1], [20, 1]], 77/47185920], [[[2, 3], [4, 5], [8, 1], [24, 1]], 1/283115520], [[[2, 3], [4, 5], [8, 1], [30, 1]], 1/353894400], [[[2, 3], [4, 6], [5, 2], [6, 1]], 1/31850496000], [[[2, 3], [4, 6], [6, 1], [8, 2]], 241/10192158720], [[[2, 3], [4, 6], [6, 1], [10, 2]], 1/31850496000], [[[2, 3], [4, 6], [6, 1], [12, 2]], 11827/45864714240], [[[2, 3], [4, 6], [6, 1], [15, 1]], 1/1592524800], [[[2, 3], [4, 6], [6, 1], [20, 1]], 77/212336640], [[[2, 3], [4, 6], [6, 1], [24, 1]], 1/1274019840], [[[2, 3], [4, 6], [6, 1], [30, 1]], 1/1592524800], [[[2, 3], [4, 6], [6, 2], [18, 1]], 1/2866544640], [[[2, 3], [4, 6], [6, 3], [12, 1]], 233/1238347284480], [[[2, 3], [4, 6], [12, 1], [14, 1]], 19/557383680], [[[2, 3], [4, 6], [12, 1], [18, 1]], 19/2149908480], [[[2, 3], [4, 7], [8, 1], [12, 1]], 19/2548039680], [[[2, 3], [4, 8], [6, 1], [10, 1]], 17/2140353331200], [[[2, 3], [4, 8], [6, 1], [12, 1]], 2843/1712282664960], [[[2, 3], [5, 2], [6, 1], [10, 3]], 301/43200000], [[[2, 3], [5, 2], [6, 1], [12, 3]], 1/49766400], [[[2, 3], [5, 2], [6, 1], [18, 2]], 1/6998400], [[[2, 3], [5, 2], [6, 3], [8, 2]], 1/1791590400], [[[2, 3], [5, 2], [6, 3], [10, 2]], 301/5598720000], [[[2, 3], [5, 2], [6, 3], [12, 2]], 11/537477120], [[[2, 3], [5, 2], [6, 3], [15, 1]], 1/279936000], [[[2, 3], [5, 2], [6, 3], [20, 1]], 1/186624000], [[[2, 3], [5, 2], [6, 3], [24, 1]], 1/223948800], [[[2, 3], [5, 2], [6, 3], [30, 1]], 1/279936000], [[[2, 3], [5, 2], [6, 4], [14, 1]], 1/5225472000], [[[2, 3], [5, 2], [6, 4], [18, 1]], 41/20155392000], [[[2, 3], [5, 2], [6, 5], [10, 1]], 1/11197440000], [[[2, 3], [5, 2], [6, 5], [12, 1]], 11/26873856000], [[[2, 3], [5, 2], [8, 2], [14, 1]], 1/6451200], [[[2, 3], [5, 2], [8, 2], [18, 1]], 1/24883200], [[[2, 3], [5, 2], [10, 2], [14, 1]], 43/2880000], [[[2, 3], [5, 2], [10, 2], [18, 1]], 301/77760000], [[[2, 3], [5, 2], [12, 2], [14, 1]], 1/9676800], [[[2, 3], [5, 2], [12, 2], [18, 1]], 1/37324800], [[[2, 3], [5, 2], [14, 1], [15, 1]], 1/1008000], [[[2, 3], [5, 2], [14, 1], [20, 1]], 1/672000], [[[2, 3], [5, 2], [14, 1], [24, 1]], 1/806400], [[[2, 3], [5, 2], [14, 1], [30, 1]], 1/1008000], [[[2, 3], [5, 2], [15, 1], [18, 1]], 1/3888000], [[[2, 3], [5, 2], [18, 1], [20, 1]], 1/2592000], [[[2, 3], [5, 2], [18, 1], [24, 1]], 1/3110400], [[[2, 3], [5, 2], [18, 1], [30, 1]], 1/3888000], [[[2, 3], [5, 4], [6, 1], [10, 1]], 1/86400000], [[[2, 3], [5, 4], [6, 1], [12, 1]], 1/207360000], [[[2, 3], [6, 1], [8, 2], [10, 3]], 1/13824000], [[[2, 3], [6, 1], [8, 2], [12, 3]], 1/15925248], [[[2, 3], [6, 1], [8, 2], [18, 2]], 1/2239488], [[[2, 3], [6, 1], [8, 4], [10, 1]], 1/4915200], [[[2, 3], [6, 1], [8, 4], [12, 1]], 1/11796480], [[[2, 3], [6, 1], [10, 1], [12, 4]], 23/298598400], [[[2, 3], [6, 1], [10, 1], [15, 2]], 1/216000], [[[2, 3], [6, 1], [10, 1], [16, 2]], 1/46080], [[[2, 3], [6, 1], [10, 1], [20, 2]], 1/57600], [[[2, 3], [6, 1], [10, 1], [24, 2]], 1/46080], [[[2, 3], [6, 1], [10, 1], [30, 2]], 1/216000], [[[2, 3], [6, 1], [10, 1], [40, 1]], 1/4800], [[[2, 3], [6, 1], [10, 1], [48, 1]], 1/5760], [[[2, 3], [6, 1], [10, 1], [60, 1]], 1/7200], [[[2, 3], [6, 1], [10, 2], [12, 3]], 1/49766400], [[[2, 3], [6, 1], [10, 2], [18, 2]], 1/6998400], [[[2, 3], [6, 1], [10, 3], [12, 2]], 1/20736000], [[[2, 3], [6, 1], [10, 3], [15, 1]], 1/2160000], [[[2, 3], [6, 1], [10, 3], [20, 1]], 1/1440000], [[[2, 3], [6, 1], [10, 3], [24, 1]], 1/1728000], [[[2, 3], [6, 1], [10, 3], [30, 1]], 1/2160000], [[[2, 3], [6, 1], [10, 4], [12, 1]], 1/207360000], [[[2, 3], [6, 1], [12, 1], [15, 2]], 1/518400], [[[2, 3], [6, 1], [12, 1], [16, 2]], 1/110592], [[[2, 3], [6, 1], [12, 1], [20, 2]], 1/138240], [[[2, 3], [6, 1], [12, 1], [24, 2]], 1/110592], [[[2, 3], [6, 1], [12, 1], [30, 2]], 1/518400], [[[2, 3], [6, 1], [12, 1], [40, 1]], 1/11520], [[[2, 3], [6, 1], [12, 1], [48, 1]], 1/13824], [[[2, 3], [6, 1], [12, 1], [60, 1]], 1/17280], [[[2, 3], [6, 1], [12, 2], [18, 2]], 1/3359232], [[[2, 3], [6, 1], [12, 2], [36, 1]], 1/31104], [[[2, 3], [6, 1], [12, 3], [15, 1]], 1/2488320], [[[2, 3], [6, 1], [12, 3], [20, 1]], 1/1658880], [[[2, 3], [6, 1], [12, 3], [24, 1]], 13/1990656], [[[2, 3], [6, 1], [12, 3], [30, 1]], 1/2488320], [[[2, 3], [6, 1], [15, 1], [18, 2]], 1/349920], [[[2, 3], [6, 1], [18, 2], [20, 1]], 1/233280], [[[2, 3], [6, 1], [18, 2], [24, 1]], 1/279936], [[[2, 3], [6, 1], [18, 2], [30, 1]], 1/349920], [[[2, 3], [6, 2], [9, 2], [18, 1]], 1/5184], [[[2, 3], [6, 2], [10, 3], [18, 1]], 1/3888000], [[[2, 3], [6, 2], [12, 3], [14, 1]], 1/4644864], [[[2, 3], [6, 2], [12, 3], [18, 1]], 5/17915904], [[[2, 3], [6, 2], [14, 1], [18, 2]], 1/326592], [[[2, 3], [6, 2], [14, 1], [42, 1]], 1/168], [[[2, 3], [6, 2], [18, 1], [36, 1]], 1/864], [[[2, 3], [6, 3], [8, 2], [10, 2]], 1/1791590400], [[[2, 3], [6, 3], [8, 2], [12, 2]], 55/859963392], [[[2, 3], [6, 3], [8, 2], [15, 1]], 1/89579520], [[[2, 3], [6, 3], [8, 2], [20, 1]], 1/59719680], [[[2, 3], [6, 3], [8, 2], [24, 1]], 11/23887872], [[[2, 3], [6, 3], [8, 2], [30, 1]], 1/89579520], [[[2, 3], [6, 3], [10, 1], [12, 3]], 1/9953280], [[[2, 3], [6, 3], [10, 1], [18, 2]], 1/699840], [[[2, 3], [6, 3], [10, 2], [12, 2]], 11/537477120], [[[2, 3], [6, 3], [10, 2], [15, 1]], 1/279936000], [[[2, 3], [6, 3], [10, 2], [20, 1]], 1/186624000], [[[2, 3], [6, 3], [10, 2], [24, 1]], 1/223948800], [[[2, 3], [6, 3], [10, 2], [30, 1]], 1/279936000], [[[2, 3], [6, 3], [10, 3], [12, 1]], 1/20736000], [[[2, 3], [6, 3], [12, 1], [18, 2]], 1/1119744], [[[2, 3], [6, 3], [12, 1], [36, 1]], 1/1679616], [[[2, 3], [6, 3], [12, 2], [15, 1]], 11/26873856], [[[2, 3], [6, 3], [12, 2], [20, 1]], 11/17915904], [[[2, 3], [6, 3], [12, 2], [24, 1]], 67/107495424], [[[2, 3], [6, 3], [12, 2], [30, 1]], 11/26873856], [[[2, 3], [6, 3], [15, 1], [20, 1]], 1/9331200], [[[2, 3], [6, 3], [15, 1], [24, 1]], 1/11197440], [[[2, 3], [6, 3], [15, 1], [30, 1]], 1/874800], [[[2, 3], [6, 3], [20, 1], [24, 1]], 1/7464960], [[[2, 3], [6, 3], [20, 1], [30, 1]], 1/9331200], [[[2, 3], [6, 3], [24, 1], [30, 1]], 1/11197440], [[[2, 3], [6, 4], [8, 2], [14, 1]], 1/1672151040], [[[2, 3], [6, 4], [8, 2], [18, 1]], 41/6449725440], [[[2, 3], [6, 4], [10, 2], [14, 1]], 1/5225472000], [[[2, 3], [6, 4], [10, 2], [18, 1]], 41/20155392000], [[[2, 3], [6, 4], [12, 2], [14, 1]], 271/2508226560], [[[2, 3], [6, 4], [12, 2], [18, 1]], 2471/9674588160], [[[2, 3], [6, 4], [14, 1], [15, 1]], 1/261273600], [[[2, 3], [6, 4], [14, 1], [20, 1]], 1/174182400], [[[2, 3], [6, 4], [14, 1], [24, 1]], 1/209018880], [[[2, 3], [6, 4], [14, 1], [30, 1]], 1/261273600], [[[2, 3], [6, 4], [15, 1], [18, 1]], 41/1007769600], [[[2, 3], [6, 4], [18, 1], [20, 1]], 41/671846400], [[[2, 3], [6, 4], [18, 1], [24, 1]], 41/806215680], [[[2, 3], [6, 4], [18, 1], [30, 1]], 41/1007769600], [[[2, 3], [6, 5], [8, 2], [10, 1]], 1/3583180800], [[[2, 3], [6, 5], [8, 2], [12, 1]], 11/8599633920], [[[2, 3], [6, 5], [10, 1], [12, 2]], 271/5374771200], [[[2, 3], [6, 5], [10, 1], [15, 1]], 1/559872000], [[[2, 3], [6, 5], [10, 1], [20, 1]], 1/373248000], [[[2, 3], [6, 5], [10, 1], [24, 1]], 1/447897600], [[[2, 3], [6, 5], [10, 1], [30, 1]], 1/559872000], [[[2, 3], [6, 5], [10, 2], [12, 1]], 11/26873856000], [[[2, 3], [6, 5], [12, 1], [15, 1]], 11/1343692800], [[[2, 3], [6, 5], [12, 1], [20, 1]], 11/895795200], [[[2, 3], [6, 5], [12, 1], [24, 1]], 11/1074954240], [[[2, 3], [6, 5], [12, 1], [30, 1]], 11/1343692800], [[[2, 3], [6, 5], [14, 1], [18, 1]], 1/470292480], [[[2, 3], [6, 6], [10, 1], [18, 1]], 1/1007769600], [[[2, 3], [6, 6], [12, 1], [14, 1]], 1/2508226560], [[[2, 3], [6, 6], [12, 1], [18, 1]], 1/214990848], [[[2, 3], [6, 7], [10, 1], [12, 1]], 1/5374771200], [[[2, 3], [8, 2], [10, 2], [14, 1]], 1/6451200], [[[2, 3], [8, 2], [10, 2], [18, 1]], 1/24883200], [[[2, 3], [8, 2], [12, 2], [14, 1]], 1/3096576], [[[2, 3], [8, 2], [12, 2], [18, 1]], 1/11943936], [[[2, 3], [8, 2], [14, 1], [15, 1]], 1/322560], [[[2, 3], [8, 2], [14, 1], [20, 1]], 1/215040], [[[2, 3], [8, 2], [14, 1], [24, 1]], 11/86016], [[[2, 3], [8, 2], [14, 1], [30, 1]], 1/322560], [[[2, 3], [8, 2], [15, 1], [18, 1]], 1/1244160], [[[2, 3], [8, 2], [18, 1], [20, 1]], 1/829440], [[[2, 3], [8, 2], [18, 1], [24, 1]], 11/331776], [[[2, 3], [8, 2], [18, 1], [30, 1]], 1/1244160], [[[2, 3], [10, 2], [12, 2], [14, 1]], 1/9676800], [[[2, 3], [10, 2], [12, 2], [18, 1]], 1/37324800], [[[2, 3], [10, 2], [14, 1], [15, 1]], 1/1008000], [[[2, 3], [10, 2], [14, 1], [20, 1]], 1/672000], [[[2, 3], [10, 2], [14, 1], [24, 1]], 1/806400], [[[2, 3], [10, 2], [14, 1], [30, 1]], 1/1008000], [[[2, 3], [10, 2], [15, 1], [18, 1]], 1/3888000], [[[2, 3], [10, 2], [18, 1], [20, 1]], 1/2592000], [[[2, 3], [10, 2], [18, 1], [24, 1]], 1/3110400], [[[2, 3], [10, 2], [18, 1], [30, 1]], 1/3888000], [[[2, 3], [12, 1], [14, 1], [36, 1]], 1/6048], [[[2, 3], [12, 1], [18, 1], [36, 1]], 1/23328], [[[2, 3], [12, 2], [14, 1], [15, 1]], 1/483840], [[[2, 3], [12, 2], [14, 1], [20, 1]], 1/322560], [[[2, 3], [12, 2], [14, 1], [24, 1]], 13/387072], [[[2, 3], [12, 2], [14, 1], [30, 1]], 1/483840], [[[2, 3], [12, 2], [15, 1], [18, 1]], 1/1866240], [[[2, 3], [12, 2], [18, 1], [20, 1]], 1/1244160], [[[2, 3], [12, 2], [18, 1], [24, 1]], 13/1492992], [[[2, 3], [12, 2], [18, 1], [30, 1]], 1/1866240], [[[2, 3], [14, 1], [15, 1], [20, 1]], 1/33600], [[[2, 3], [14, 1], [15, 1], [24, 1]], 1/40320], [[[2, 3], [14, 1], [15, 1], [30, 1]], 1/3150], [[[2, 3], [14, 1], [20, 1], [24, 1]], 1/26880], [[[2, 3], [14, 1], [20, 1], [30, 1]], 1/33600], [[[2, 3], [14, 1], [24, 1], [30, 1]], 1/40320], [[[2, 3], [15, 1], [18, 1], [20, 1]], 1/129600], [[[2, 3], [15, 1], [18, 1], [24, 1]], 1/155520], [[[2, 3], [15, 1], [18, 1], [30, 1]], 1/12150], [[[2, 3], [18, 1], [20, 1], [24, 1]], 1/103680], [[[2, 3], [18, 1], [20, 1], [30, 1]], 1/129600], [[[2, 3], [18, 1], [24, 1], [30, 1]], 1/155520], [[[2, 5], [3, 1], [4, 6], [9, 1]], 1/91729428480], [[[2, 5], [3, 1], [6, 6], [9, 1]], 13/130606940160], [[[2, 5], [3, 1], [9, 1], [10, 3]], 1/77760000], [[[2, 5], [3, 1], [9, 1], [14, 2]], 1/169344], [[[2, 5], [3, 1], [9, 1], [18, 2]], 1/2519424], [[[2, 5], [3, 2], [4, 2], [6, 6]], 47/660451885056], [[[2, 5], [3, 2], [4, 2], [9, 2]], 1/214990848], [[[2, 5], [3, 2], [4, 2], [12, 3]], 1/3057647616], [[[2, 5], [3, 2], [4, 4], [6, 4]], 109/247669456896], [[[2, 5], [3, 2], [4, 4], [12, 2]], 1/764411904], [[[2, 5], [3, 2], [4, 6], [6, 2]], 13/587068342272], [[[2, 5], [3, 2], [4, 6], [12, 1]], 1/489223618560], [[[2, 5], [3, 2], [5, 2], [6, 4]], 1/3224862720], [[[2, 5], [3, 2], [6, 2], [9, 2]], 1/30233088], [[[2, 5], [3, 2], [6, 2], [10, 3]], 41/2488320000], [[[2, 5], [3, 2], [6, 2], [12, 3]], 25/429981696], [[[2, 5], [3, 2], [6, 2], [14, 2]], 1/5419008], [[[2, 5], [3, 2], [6, 2], [18, 2]], 1/8957952], [[[2, 5], [3, 2], [6, 4], [8, 2]], 5/5159780352], [[[2, 5], [3, 2], [6, 4], [10, 2]], 653/16124313600], [[[2, 5], [3, 2], [6, 4], [12, 2]], 629/7739670528], [[[2, 5], [3, 2], [6, 4], [15, 1]], 1/161243136], [[[2, 5], [3, 2], [6, 4], [20, 1]], 1/107495424], [[[2, 5], [3, 2], [6, 4], [24, 1]], 221/644972544], [[[2, 5], [3, 2], [6, 4], [30, 1]], 1/161243136], [[[2, 5], [3, 2], [6, 5], [14, 1]], 11/7524679680], [[[2, 5], [3, 2], [6, 5], [18, 1]], 37/9674588160], [[[2, 5], [3, 2], [6, 6], [10, 1]], 49/71663616000], [[[2, 5], [3, 2], [6, 6], [12, 1]], 661/696570347520], [[[2, 5], [3, 2], [9, 2], [10, 1]], 1/13996800], [[[2, 5], [3, 2], [10, 1], [12, 3]], 1/199065600], [[[2, 5], [3, 2], [10, 3], [12, 1]], 1/414720000], [[[2, 5], [3, 2], [12, 1], [14, 2]], 1/903168], [[[2, 5], [3, 2], [12, 1], [18, 2]], 1/13436928], [[[2, 5], [3, 3], [6, 4], [9, 1]], 5/1451188224], [[[2, 5], [3, 4], [4, 2], [5, 2]], 1/3439853568000], [[[2, 5], [3, 4], [4, 2], [6, 4]], 600851/891610044825600], [[[2, 5], [3, 4], [4, 2], [8, 2]], 109/1100753141760], [[[2, 5], [3, 4], [4, 2], [10, 2]], 1/3439853568000], [[[2, 5], [3, 4], [4, 2], [12, 2]], 271/1651129712640], [[[2, 5], [3, 4], [4, 2], [15, 1]], 1/171992678400], [[[2, 5], [3, 4], [4, 2], [20, 1]], 1/114661785600], [[[2, 5], [3, 4], [4, 2], [24, 1]], 1/137594142720], [[[2, 5], [3, 4], [4, 2], [30, 1]], 1/171992678400], [[[2, 5], [3, 4], [4, 4], [6, 2]], 451/37150418534400], [[[2, 5], [3, 4], [4, 4], [10, 1]], 1/17199267840000], [[[2, 5], [3, 4], [4, 4], [12, 1]], 1/412782428160], [[[2, 5], [3, 4], [5, 2], [6, 2]], 271/483729408000], [[[2, 5], [3, 4], [5, 2], [10, 1]], 1/223948800000], [[[2, 5], [3, 4], [6, 2], [8, 2]], 271/154793410560], [[[2, 5], [3, 4], [6, 2], [10, 2]], 487/483729408000], [[[2, 5], [3, 4], [6, 2], [12, 2]], 3799/232190115840], [[[2, 5], [3, 4], [6, 2], [15, 1]], 271/24186470400], [[[2, 5], [3, 4], [6, 2], [20, 1]], 271/16124313600], [[[2, 5], [3, 4], [6, 2], [24, 1]], 271/19349176320], [[[2, 5], [3, 4], [6, 2], [30, 1]], 271/24186470400], [[[2, 5], [3, 4], [6, 3], [14, 1]], 811/67722117120], [[[2, 5], [3, 4], [6, 3], [18, 1]], 2437/261213880320], [[[2, 5], [3, 4], [6, 4], [10, 1]], 406211/58047528960000], [[[2, 5], [3, 4], [6, 4], [12, 1]], 577/139314069504], [[[2, 5], [3, 4], [8, 2], [10, 1]], 1/71663616000], [[[2, 5], [3, 4], [10, 1], [12, 2]], 271/107495424000], [[[2, 5], [3, 4], [10, 1], [15, 1]], 1/11197440000], [[[2, 5], [3, 4], [10, 1], [20, 1]], 1/7464960000], [[[2, 5], [3, 4], [10, 1], [24, 1]], 1/8957952000], [[[2, 5], [3, 4], [10, 1], [30, 1]], 1/11197440000], [[[2, 5], [3, 4], [14, 1], [18, 1]], 1/940584960], [[[2, 5], [3, 5], [4, 2], [9, 1]], 1/309586821120], [[[2, 5], [3, 5], [6, 2], [9, 1]], 271/43535646720], [[[2, 5], [3, 5], [9, 1], [10, 1]], 1/20155392000], [[[2, 5], [3, 6], [4, 2], [6, 2]], 13/1981355655168], [[[2, 5], [3, 6], [4, 2], [12, 1]], 1/1651129712640], [[[2, 5], [3, 6], [6, 1], [14, 1]], 1/7524679680], [[[2, 5], [3, 6], [6, 1], [18, 1]], 1/29023764480], [[[2, 5], [3, 6], [6, 2], [10, 1]], 41/644972544000], [[[2, 5], [3, 6], [6, 2], [12, 1]], 277/232190115840], [[[2, 5], [3, 6], [10, 1], [12, 1]], 1/107495424000], [[[2, 5], [4, 1], [6, 3], [8, 3]], 1/382205952], [[[2, 5], [4, 1], [6, 7], [8, 1]], 1/309586821120], [[[2, 5], [4, 1], [8, 3], [14, 1]], 1/1376256], [[[2, 5], [4, 1], [8, 3], [18, 1]], 1/5308416], [[[2, 5], [4, 2], [5, 2], [6, 4]], 641/3439853568000], [[[2, 5], [4, 2], [5, 2], [8, 2]], 109/4246732800], [[[2, 5], [4, 2], [5, 2], [10, 2]], 301/13271040000], [[[2, 5], [4, 2], [5, 2], [12, 2]], 1/6370099200], [[[2, 5], [4, 2], [5, 2], [15, 1]], 1/663552000], [[[2, 5], [4, 2], [5, 2], [20, 1]], 1/442368000], [[[2, 5], [4, 2], [5, 2], [24, 1]], 1/530841600], [[[2, 5], [4, 2], [5, 2], [30, 1]], 1/663552000], [[[2, 5], [4, 2], [6, 2], [10, 3]], 1/41472000], [[[2, 5], [4, 2], [6, 2], [12, 3]], 17371/82556485632], [[[2, 5], [4, 2], [6, 2], [18, 2]], 11/71663616], [[[2, 5], [4, 2], [6, 2], [28, 1]], 1/290304], [[[2, 5], [4, 2], [6, 2], [36, 1]], 1/1119744], [[[2, 5], [4, 2], [6, 4], [8, 2]], 749/1100753141760], [[[2, 5], [4, 2], [6, 4], [10, 2]], 641/3439853568000], [[[2, 5], [4, 2], [6, 4], [12, 2]], 4996997/550376570880], [[[2, 5], [4, 2], [6, 4], [15, 1]], 641/171992678400], [[[2, 5], [4, 2], [6, 4], [20, 1]], 641/114661785600], [[[2, 5], [4, 2], [6, 4], [24, 1]], 641/137594142720], [[[2, 5], [4, 2], [6, 4], [30, 1]], 641/171992678400], [[[2, 5], [4, 2], [6, 5], [14, 1]], 1/5016453120], [[[2, 5], [4, 2], [6, 5], [18, 1]], 73/34398535680], [[[2, 5], [4, 2], [6, 6], [10, 1]], 1/10749542400], [[[2, 5], [4, 2], [6, 6], [12, 1]], 22363/44580502241280], [[[2, 5], [4, 2], [8, 2], [10, 2]], 109/4246732800], [[[2, 5], [4, 2], [8, 2], [12, 2]], 109/2038431744], [[[2, 5], [4, 2], [8, 2], [15, 1]], 109/212336640], [[[2, 5], [4, 2], [8, 2], [20, 1]], 109/141557760], [[[2, 5], [4, 2], [8, 2], [24, 1]], 47/56623104], [[[2, 5], [4, 2], [8, 2], [30, 1]], 109/212336640], [[[2, 5], [4, 2], [10, 1], [12, 3]], 7/149299200], [[[2, 5], [4, 2], [10, 1], [28, 1]], 1/134400], [[[2, 5], [4, 2], [10, 1], [36, 1]], 1/518400], [[[2, 5], [4, 2], [10, 2], [12, 2]], 1/6370099200], [[[2, 5], [4, 2], [10, 2], [15, 1]], 1/663552000], [[[2, 5], [4, 2], [10, 2], [20, 1]], 1/442368000], [[[2, 5], [4, 2], [10, 2], [24, 1]], 1/530841600], [[[2, 5], [4, 2], [10, 2], [30, 1]], 1/663552000], [[[2, 5], [4, 2], [10, 3], [12, 1]], 1/103680000], [[[2, 5], [4, 2], [12, 1], [14, 2]], 1/225792], [[[2, 5], [4, 2], [12, 1], [18, 2]], 1/3359232], [[[2, 5], [4, 2], [12, 1], [36, 1]], 1/3981312], [[[2, 5], [4, 2], [12, 2], [15, 1]], 1/318504960], [[[2, 5], [4, 2], [12, 2], [20, 1]], 1/212336640], [[[2, 5], [4, 2], [12, 2], [24, 1]], 13/254803968], [[[2, 5], [4, 2], [12, 2], [30, 1]], 1/318504960], [[[2, 5], [4, 2], [15, 1], [20, 1]], 1/22118400], [[[2, 5], [4, 2], [15, 1], [24, 1]], 1/26542080], [[[2, 5], [4, 2], [15, 1], [30, 1]], 1/2073600], [[[2, 5], [4, 2], [20, 1], [24, 1]], 1/17694720], [[[2, 5], [4, 2], [20, 1], [30, 1]], 1/22118400], [[[2, 5], [4, 2], [24, 1], [30, 1]], 1/26542080], [[[2, 5], [4, 3], [6, 1], [8, 3]], 1/28311552], [[[2, 5], [4, 3], [6, 5], [8, 1]], 1/22932357120], [[[2, 5], [4, 4], [5, 2], [6, 2]], 181/143327232000], [[[2, 5], [4, 4], [5, 2], [10, 1]], 1/66355200000], [[[2, 5], [4, 4], [5, 2], [12, 1]], 1/1592524800], [[[2, 5], [4, 4], [6, 2], [8, 2]], 421/45864714240], [[[2, 5], [4, 4], [6, 2], [10, 2]], 397/143327232000], [[[2, 5], [4, 4], [6, 2], [12, 2]], 9889/68797071360], [[[2, 5], [4, 4], [6, 2], [15, 1]], 181/7166361600], [[[2, 5], [4, 4], [6, 2], [20, 1]], 113/955514880], [[[2, 5], [4, 4], [6, 2], [24, 1]], 181/5733089280], [[[2, 5], [4, 4], [6, 2], [30, 1]], 181/7166361600], [[[2, 5], [4, 4], [6, 3], [14, 1]], 1/20065812480], [[[2, 5], [4, 4], [6, 3], [18, 1]], 1087/77396705280], [[[2, 5], [4, 4], [6, 4], [10, 1]], 401/17199267840000], [[[2, 5], [4, 4], [6, 4], [12, 1]], 577/137594142720], [[[2, 5], [4, 4], [8, 1], [16, 1]], 1/9437184], [[[2, 5], [4, 4], [8, 2], [10, 1]], 241/21233664000], [[[2, 5], [4, 4], [8, 2], [12, 1]], 121/509607936], [[[2, 5], [4, 4], [10, 1], [12, 2]], 3841/31850496000], [[[2, 5], [4, 4], [10, 1], [15, 1]], 1/3317760000], [[[2, 5], [4, 4], [10, 1], [20, 1]], 77/442368000], [[[2, 5], [4, 4], [10, 1], [24, 1]], 1/2654208000], [[[2, 5], [4, 4], [10, 1], [30, 1]], 1/3317760000], [[[2, 5], [4, 4], [10, 2], [12, 1]], 1/1592524800], [[[2, 5], [4, 4], [12, 1], [15, 1]], 1/79626240], [[[2, 5], [4, 4], [12, 1], [20, 1]], 13/53084160], [[[2, 5], [4, 4], [12, 1], [24, 1]], 7/63700992], [[[2, 5], [4, 4], [12, 1], [30, 1]], 1/79626240], [[[2, 5], [4, 4], [14, 1], [18, 1]], 1/278691840], [[[2, 5], [4, 5], [6, 3], [8, 1]], 1/91729428480], [[[2, 5], [4, 5], [8, 1], [14, 1]], 1/330301440], [[[2, 5], [4, 5], [8, 1], [18, 1]], 1/1274019840], [[[2, 5], [4, 6], [6, 1], [14, 1]], 1/1486356480], [[[2, 5], [4, 6], [6, 1], [18, 1]], 17/91729428480], [[[2, 5], [4, 6], [6, 2], [10, 1]], 1/3185049600], [[[2, 5], [4, 6], [6, 2], [12, 1]], 144859/13209037701120], [[[2, 5], [4, 6], [10, 1], [12, 1]], 19/23887872000], [[[2, 5], [4, 7], [6, 1], [8, 1]], 1/6794772480], [[[2, 5], [5, 2], [6, 2], [8, 2]], 1/597196800], [[[2, 5], [5, 2], [6, 2], [10, 2]], 517/1866240000], [[[2, 5], [5, 2], [6, 2], [12, 2]], 19/895795200], [[[2, 5], [5, 2], [6, 2], [15, 1]], 1/93312000], [[[2, 5], [5, 2], [6, 2], [20, 1]], 1/62208000], [[[2, 5], [5, 2], [6, 2], [24, 1]], 1/74649600], [[[2, 5], [5, 2], [6, 2], [30, 1]], 1/93312000], [[[2, 5], [5, 2], [6, 3], [14, 1]], 1/261273600], [[[2, 5], [5, 2], [6, 3], [18, 1]], 7/1007769600], [[[2, 5], [5, 2], [6, 4], [10, 1]], 401/223948800000], [[[2, 5], [5, 2], [6, 4], [12, 1]], 1/537477120], [[[2, 5], [5, 2], [8, 2], [10, 1]], 1/276480000], [[[2, 5], [5, 2], [10, 1], [12, 2]], 1/414720000], [[[2, 5], [5, 2], [10, 1], [15, 1]], 1/43200000], [[[2, 5], [5, 2], [10, 1], [20, 1]], 1/28800000], [[[2, 5], [5, 2], [10, 1], [24, 1]], 1/34560000], [[[2, 5], [5, 2], [10, 1], [30, 1]], 1/43200000], [[[2, 5], [5, 2], [14, 1], [18, 1]], 1/3628800], [[[2, 5], [6, 1], [10, 3], [14, 1]], 1/2016000], [[[2, 5], [6, 1], [10, 3], [18, 1]], 11/77760000], [[[2, 5], [6, 1], [12, 3], [14, 1]], 1/2322432], [[[2, 5], [6, 1], [12, 3], [18, 1]], 1/8957952], [[[2, 5], [6, 1], [14, 1], [18, 2]], 1/326592], [[[2, 5], [6, 1], [14, 2], [18, 1]], 1/169344], [[[2, 5], [6, 2], [8, 2], [10, 2]], 217/597196800], [[[2, 5], [6, 2], [8, 2], [12, 2]], 19/286654464], [[[2, 5], [6, 2], [8, 2], [15, 1]], 1/29859840], [[[2, 5], [6, 2], [8, 2], [20, 1]], 1/19906560], [[[2, 5], [6, 2], [8, 2], [24, 1]], 11/7962624], [[[2, 5], [6, 2], [8, 2], [30, 1]], 1/29859840], [[[2, 5], [6, 2], [10, 1], [12, 3]], 41/199065600], [[[2, 5], [6, 2], [10, 1], [18, 2]], 7/4665600], [[[2, 5], [6, 2], [10, 2], [12, 2]], 47/179159040], [[[2, 5], [6, 2], [10, 2], [15, 1]], 217/93312000], [[[2, 5], [6, 2], [10, 2], [20, 1]], 217/62208000], [[[2, 5], [6, 2], [10, 2], [24, 1]], 217/74649600], [[[2, 5], [6, 2], [10, 2], [30, 1]], 217/93312000], [[[2, 5], [6, 2], [10, 3], [12, 1]], 41/414720000], [[[2, 5], [6, 2], [12, 1], [14, 2]], 1/903168], [[[2, 5], [6, 2], [12, 1], [18, 2]], 1/1492992], [[[2, 5], [6, 2], [12, 1], [36, 1]], 1/559872], [[[2, 5], [6, 2], [12, 2], [15, 1]], 19/44789760], [[[2, 5], [6, 2], [12, 2], [20, 1]], 19/29859840], [[[2, 5], [6, 2], [12, 2], [24, 1]], 31/35831808], [[[2, 5], [6, 2], [12, 2], [30, 1]], 19/44789760], [[[2, 5], [6, 2], [15, 1], [20, 1]], 1/3110400], [[[2, 5], [6, 2], [15, 1], [24, 1]], 1/3732480], [[[2, 5], [6, 2], [15, 1], [30, 1]], 1/291600], [[[2, 5], [6, 2], [20, 1], [24, 1]], 1/2488320], [[[2, 5], [6, 2], [20, 1], [30, 1]], 1/3110400], [[[2, 5], [6, 2], [24, 1], [30, 1]], 1/3732480], [[[2, 5], [6, 3], [8, 2], [14, 1]], 1/83607552], [[[2, 5], [6, 3], [8, 2], [18, 1]], 7/322486272], [[[2, 5], [6, 3], [10, 2], [14, 1]], 1/261273600], [[[2, 5], [6, 3], [10, 2], [18, 1]], 1303/1007769600], [[[2, 5], [6, 3], [12, 2], [14, 1]], 55/125411328], [[[2, 5], [6, 3], [12, 2], [18, 1]], 169/483729408], [[[2, 5], [6, 3], [14, 1], [15, 1]], 1/13063680], [[[2, 5], [6, 3], [14, 1], [20, 1]], 1/8709120], [[[2, 5], [6, 3], [14, 1], [24, 1]], 1/10450944], [[[2, 5], [6, 3], [14, 1], [30, 1]], 1/13063680], [[[2, 5], [6, 3], [15, 1], [18, 1]], 7/50388480], [[[2, 5], [6, 3], [18, 1], [20, 1]], 7/33592320], [[[2, 5], [6, 3], [18, 1], [24, 1]], 7/40310784], [[[2, 5], [6, 3], [18, 1], [30, 1]], 7/50388480], [[[2, 5], [6, 4], [8, 2], [10, 1]], 401/71663616000], [[[2, 5], [6, 4], [8, 2], [12, 1]], 5/859963392], [[[2, 5], [6, 4], [10, 1], [12, 2]], 22271/107495424000], [[[2, 5], [6, 4], [10, 1], [15, 1]], 401/11197440000], [[[2, 5], [6, 4], [10, 1], [20, 1]], 401/7464960000], [[[2, 5], [6, 4], [10, 1], [24, 1]], 401/8957952000], [[[2, 5], [6, 4], [10, 1], [30, 1]], 1555601/11197440000], [[[2, 5], [6, 4], [10, 2], [12, 1]], 653/2687385600], [[[2, 5], [6, 4], [12, 1], [15, 1]], 1/26873856], [[[2, 5], [6, 4], [12, 1], [20, 1]], 1/17915904], [[[2, 5], [6, 4], [12, 1], [24, 1]], 5/107495424], [[[2, 5], [6, 4], [12, 1], [30, 1]], 1/26873856], [[[2, 5], [6, 4], [14, 1], [18, 1]], 41/940584960], [[[2, 5], [6, 5], [10, 1], [14, 1]], 1/522547200], [[[2, 5], [6, 5], [10, 1], [18, 1]], 137/6718464000], [[[2, 5], [6, 5], [12, 1], [14, 1]], 11/1254113280], [[[2, 5], [6, 5], [12, 1], [18, 1]], 37/1612431360], [[[2, 5], [6, 6], [10, 1], [12, 1]], 49/11943936000], [[[2, 5], [8, 2], [10, 1], [12, 2]], 1/132710400], [[[2, 5], [8, 2], [10, 1], [15, 1]], 1/13824000], [[[2, 5], [8, 2], [10, 1], [20, 1]], 1/9216000], [[[2, 5], [8, 2], [10, 1], [24, 1]], 11/3686400], [[[2, 5], [8, 2], [10, 1], [30, 1]], 1/13824000], [[[2, 5], [8, 2], [14, 1], [18, 1]], 1/1161216], [[[2, 5], [10, 1], [12, 1], [36, 1]], 1/259200], [[[2, 5], [10, 1], [12, 2], [15, 1]], 1/20736000], [[[2, 5], [10, 1], [12, 2], [20, 1]], 1/13824000], [[[2, 5], [10, 1], [12, 2], [24, 1]], 13/16588800], [[[2, 5], [10, 1], [12, 2], [30, 1]], 1/20736000], [[[2, 5], [10, 1], [15, 1], [20, 1]], 1/1440000], [[[2, 5], [10, 1], [15, 1], [24, 1]], 1/1728000], [[[2, 5], [10, 1], [15, 1], [30, 1]], 1/135000], [[[2, 5], [10, 1], [20, 1], [24, 1]], 1/1152000], [[[2, 5], [10, 1], [20, 1], [30, 1]], 1/1440000], [[[2, 5], [10, 1], [24, 1], [30, 1]], 1/1728000], [[[2, 5], [10, 2], [14, 1], [18, 1]], 1/3628800], [[[2, 5], [12, 2], [14, 1], [18, 1]], 1/1741824], [[[2, 5], [14, 1], [15, 1], [18, 1]], 1/181440], [[[2, 5], [14, 1], [18, 1], [20, 1]], 1/120960], [[[2, 5], [14, 1], [18, 1], [24, 1]], 1/145152], [[[2, 5], [14, 1], [18, 1], [30, 1]], 1/181440], [[[2, 7], [3, 1], [6, 5], [9, 1]], 2401/5224277606400], [[[2, 7], [3, 2], [4, 2], [6, 5]], 179/550376570880], [[[2, 7], [3, 2], [4, 4], [6, 3]], 44791/49533891379200], [[[2, 7], [3, 2], [4, 6], [6, 1]], 1/1467670855680], [[[2, 7], [3, 2], [5, 2], [6, 3]], 241/644972544000], [[[2, 7], [3, 2], [6, 1], [9, 2]], 1/3627970560], [[[2, 7], [3, 2], [6, 1], [10, 3]], 1/1244160000], [[[2, 7], [3, 2], [6, 1], [12, 3]], 1/51597803520], [[[2, 7], [3, 2], [6, 1], [14, 2]], 1/2709504], [[[2, 7], [3, 2], [6, 1], [18, 2]], 1/40310784], [[[2, 7], [3, 2], [6, 3], [8, 2]], 241/206391214080], [[[2, 7], [3, 2], [6, 3], [10, 2]], 54673/644972544000], [[[2, 7], [3, 2], [6, 3], [12, 2]], 6151/309586821120], [[[2, 7], [3, 2], [6, 3], [15, 1]], 241/32248627200], [[[2, 7], [3, 2], [6, 3], [20, 1]], 241/21499084800], [[[2, 7], [3, 2], [6, 3], [24, 1]], 313/25798901760], [[[2, 7], [3, 2], [6, 3], [30, 1]], 241/32248627200], [[[2, 7], [3, 2], [6, 4], [14, 1]], 5/752467968], [[[2, 7], [3, 2], [6, 4], [18, 1]], 341/58047528960], [[[2, 7], [3, 2], [6, 5], [10, 1]], 337/107495424000], [[[2, 7], [3, 2], [6, 5], [12, 1]], 60091/27862813900800], [[[2, 7], [3, 3], [6, 3], [9, 1]], 241/58047528960], [[[2, 7], [3, 4], [4, 2], [6, 3]], 26827/44580502241280], [[[2, 7], [3, 4], [4, 2], [14, 1]], 1/160526499840], [[[2, 7], [3, 4], [4, 2], [18, 1]], 1/619173642240], [[[2, 7], [3, 4], [4, 3], [8, 1]], 1/733835427840], [[[2, 7], [3, 4], [4, 4], [6, 1]], 1351/4458050224128000], [[[2, 7], [3, 4], [5, 2], [6, 1]], 1/58047528960000], [[[2, 7], [3, 4], [6, 1], [8, 2]], 1/18575209267200], [[[2, 7], [3, 4], [6, 1], [10, 2]], 2593/58047528960000], [[[2, 7], [3, 4], [6, 1], [12, 2]], 271/27862813900800], [[[2, 7], [3, 4], [6, 1], [15, 1]], 1/2902376448000], [[[2, 7], [3, 4], [6, 1], [20, 1]], 1/1934917632000], [[[2, 7], [3, 4], [6, 1], [24, 1]], 1/2321901158400], [[[2, 7], [3, 4], [6, 1], [30, 1]], 1/2902376448000], [[[2, 7], [3, 4], [6, 2], [14, 1]], 271/22574039040], [[[2, 7], [3, 4], [6, 2], [18, 1]], 16261/5224277606400], [[[2, 7], [3, 4], [6, 3], [10, 1]], 17071/2902376448000], [[[2, 7], [3, 4], [6, 3], [12, 1]], 86731/27862813900800], [[[2, 7], [3, 4], [10, 1], [14, 1]], 1/10450944000], [[[2, 7], [3, 4], [10, 1], [18, 1]], 1/40310784000], [[[2, 7], [3, 5], [6, 1], [9, 1]], 1/5224277606400], [[[2, 7], [3, 6], [4, 2], [6, 1]], 1/4953389137920], [[[2, 7], [3, 6], [6, 1], [10, 1]], 1/322486272000], [[[2, 7], [3, 6], [6, 1], [12, 1]], 1/27862813900800], [[[2, 7], [4, 1], [6, 2], [8, 3]], 1/127401984], [[[2, 7], [4, 1], [6, 6], [8, 1]], 13/309586821120], [[[2, 7], [4, 1], [8, 1], [10, 3]], 1/184320000], [[[2, 7], [4, 1], [8, 1], [14, 2]], 1/401408], [[[2, 7], [4, 1], [8, 1], [18, 2]], 1/5971968], [[[2, 7], [4, 1], [8, 3], [10, 1]], 1/58982400], [[[2, 7], [4, 2], [5, 2], [6, 3]], 97/171992678400], [[[2, 7], [4, 2], [5, 2], [14, 1]], 1/619315200], [[[2, 7], [4, 2], [5, 2], [18, 1]], 1/2388787200], [[[2, 7], [4, 2], [6, 1], [10, 3]], 13/6635520000], [[[2, 7], [4, 2], [6, 1], [12, 3]], 517/619173642240], [[[2, 7], [4, 2], [6, 1], [14, 2]], 1/1806336], [[[2, 7], [4, 2], [6, 1], [18, 2]], 1/23887872], [[[2, 7], [4, 2], [6, 1], [28, 1]], 1/34836480], [[[2, 7], [4, 2], [6, 1], [36, 1]], 1/134369280], [[[2, 7], [4, 2], [6, 3], [8, 2]], 205/55037657088], [[[2, 7], [4, 2], [6, 3], [10, 2]], 20833/171992678400], [[[2, 7], [4, 2], [6, 3], [12, 2]], 17107/412782428160], [[[2, 7], [4, 2], [6, 3], [15, 1]], 97/8599633920], [[[2, 7], [4, 2], [6, 3], [20, 1]], 97/5733089280], [[[2, 7], [4, 2], [6, 3], [24, 1]], 97/6879707136], [[[2, 7], [4, 2], [6, 3], [30, 1]], 97/8599633920], [[[2, 7], [4, 2], [6, 4], [14, 1]], 641/160526499840], [[[2, 7], [4, 2], [6, 4], [18, 1]], 1507/206391214080], [[[2, 7], [4, 2], [6, 5], [10, 1]], 119/63700992000], [[[2, 7], [4, 2], [6, 5], [12, 1]], 255901/111451255603200], [[[2, 7], [4, 2], [8, 2], [14, 1]], 109/198180864], [[[2, 7], [4, 2], [8, 2], [18, 1]], 109/764411904], [[[2, 7], [4, 2], [10, 2], [14, 1]], 1/619315200], [[[2, 7], [4, 2], [10, 2], [18, 1]], 1/2388787200], [[[2, 7], [4, 2], [12, 2], [14, 1]], 1/297271296], [[[2, 7], [4, 2], [12, 2], [18, 1]], 1/1146617856], [[[2, 7], [4, 2], [14, 1], [15, 1]], 1/30965760], [[[2, 7], [4, 2], [14, 1], [20, 1]], 1/20643840], [[[2, 7], [4, 2], [14, 1], [24, 1]], 1/24772608], [[[2, 7], [4, 2], [14, 1], [30, 1]], 1/30965760], [[[2, 7], [4, 2], [15, 1], [18, 1]], 1/119439360], [[[2, 7], [4, 2], [18, 1], [20, 1]], 1/79626240], [[[2, 7], [4, 2], [18, 1], [24, 1]], 1/95551488], [[[2, 7], [4, 2], [18, 1], [30, 1]], 1/119439360], [[[2, 7], [4, 3], [5, 2], [8, 1]], 1/2831155200], [[[2, 7], [4, 3], [6, 4], [8, 1]], 641/733835427840], [[[2, 7], [4, 3], [8, 1], [10, 2]], 1/2831155200], [[[2, 7], [4, 3], [8, 1], [12, 2]], 1/1358954496], [[[2, 7], [4, 3], [8, 1], [15, 1]], 1/141557760], [[[2, 7], [4, 3], [8, 1], [20, 1]], 1/94371840], [[[2, 7], [4, 3], [8, 1], [24, 1]], 1/113246208], [[[2, 7], [4, 3], [8, 1], [30, 1]], 1/141557760], [[[2, 7], [4, 4], [5, 2], [6, 1]], 1351/17199267840000], [[[2, 7], [4, 4], [6, 1], [8, 2]], 147391/5503765708800], [[[2, 7], [4, 4], [6, 1], [10, 2]], 3943/17199267840000], [[[2, 7], [4, 4], [6, 1], [12, 2]], 26791/8255648563200], [[[2, 7], [4, 4], [6, 1], [15, 1]], 1351/859963392000], [[[2, 7], [4, 4], [6, 1], [20, 1]], 347/114661785600], [[[2, 7], [4, 4], [6, 1], [24, 1]], 1351/687970713600], [[[2, 7], [4, 4], [6, 1], [30, 1]], 1351/859963392000], [[[2, 7], [4, 4], [6, 2], [14, 1]], 181/6688604160], [[[2, 7], [4, 4], [6, 2], [18, 1]], 12211/1547934105600], [[[2, 7], [4, 4], [6, 3], [10, 1]], 10861/859963392000], [[[2, 7], [4, 4], [6, 3], [12, 1]], 83591/8255648563200], [[[2, 7], [4, 4], [10, 1], [14, 1]], 1/3096576000], [[[2, 7], [4, 4], [10, 1], [18, 1]], 1/11943936000], [[[2, 7], [4, 4], [12, 1], [14, 1]], 1/74317824], [[[2, 7], [4, 4], [12, 1], [18, 1]], 1/286654464], [[[2, 7], [4, 5], [6, 2], [8, 1]], 181/30576476160], [[[2, 7], [4, 5], [8, 1], [10, 1]], 1/14155776000], [[[2, 7], [4, 5], [8, 1], [12, 1]], 1/339738624], [[[2, 7], [4, 6], [6, 1], [10, 1]], 13/509607936000], [[[2, 7], [4, 6], [6, 1], [12, 1]], 65509/99067782758400], [[[2, 7], [5, 2], [6, 1], [8, 2]], 1/71663616000], [[[2, 7], [5, 2], [6, 1], [10, 2]], 2893/223948800000], [[[2, 7], [5, 2], [6, 1], [12, 2]], 1/107495424000], [[[2, 7], [5, 2], [6, 1], [15, 1]], 1/11197440000], [[[2, 7], [5, 2], [6, 1], [20, 1]], 1/7464960000], [[[2, 7], [5, 2], [6, 1], [24, 1]], 1/8957952000], [[[2, 7], [5, 2], [6, 1], [30, 1]], 1/11197440000], [[[2, 7], [5, 2], [6, 2], [14, 1]], 1/87091200], [[[2, 7], [5, 2], [6, 2], [18, 1]], 61/20155392000], [[[2, 7], [5, 2], [6, 3], [10, 1]], 61/11197440000], [[[2, 7], [5, 2], [6, 3], [12, 1]], 241/107495424000], [[[2, 7], [5, 2], [10, 1], [14, 1]], 1/40320000], [[[2, 7], [5, 2], [10, 1], [18, 1]], 1/155520000], [[[2, 7], [6, 1], [8, 2], [10, 2]], 2593/71663616000], [[[2, 7], [6, 1], [8, 2], [12, 2]], 1/34398535680], [[[2, 7], [6, 1], [8, 2], [15, 1]], 1/3583180800], [[[2, 7], [6, 1], [8, 2], [20, 1]], 1/2388787200], [[[2, 7], [6, 1], [8, 2], [24, 1]], 11/955514880], [[[2, 7], [6, 1], [8, 2], [30, 1]], 1/3583180800], [[[2, 7], [6, 1], [10, 1], [12, 3]], 1/99532800], [[[2, 7], [6, 1], [10, 1], [14, 2]], 1/188160], [[[2, 7], [6, 1], [10, 1], [18, 2]], 1/2332800], [[[2, 7], [6, 1], [10, 2], [12, 2]], 2593/107495424000], [[[2, 7], [6, 1], [10, 2], [15, 1]], 2593/11197440000], [[[2, 7], [6, 1], [10, 2], [20, 1]], 2593/7464960000], [[[2, 7], [6, 1], [10, 2], [24, 1]], 2593/8957952000], [[[2, 7], [6, 1], [10, 2], [30, 1]], 2593/11197440000], [[[2, 7], [6, 1], [10, 3], [12, 1]], 1/207360000], [[[2, 7], [6, 1], [12, 1], [14, 2]], 1/451584], [[[2, 7], [6, 1], [12, 1], [18, 2]], 1/6718464], [[[2, 7], [6, 1], [12, 1], [36, 1]], 1/67184640], [[[2, 7], [6, 1], [12, 2], [15, 1]], 1/5374771200], [[[2, 7], [6, 1], [12, 2], [20, 1]], 1/3583180800], [[[2, 7], [6, 1], [12, 2], [24, 1]], 13/4299816960], [[[2, 7], [6, 1], [12, 2], [30, 1]], 1/5374771200], [[[2, 7], [6, 1], [15, 1], [20, 1]], 1/373248000], [[[2, 7], [6, 1], [15, 1], [24, 1]], 1/447897600], [[[2, 7], [6, 1], [15, 1], [30, 1]], 1/34992000], [[[2, 7], [6, 1], [20, 1], [24, 1]], 1/298598400], [[[2, 7], [6, 1], [20, 1], [30, 1]], 1/373248000], [[[2, 7], [6, 1], [24, 1], [30, 1]], 1/447897600], [[[2, 7], [6, 2], [8, 2], [14, 1]], 1/27869184], [[[2, 7], [6, 2], [8, 2], [18, 1]], 61/6449725440], [[[2, 7], [6, 2], [10, 2], [14, 1]], 31/12441600], [[[2, 7], [6, 2], [10, 2], [18, 1]], 15613/20155392000], [[[2, 7], [6, 2], [12, 2], [14, 1]], 19/41803776], [[[2, 7], [6, 2], [12, 2], [18, 1]], 1141/9674588160], [[[2, 7], [6, 2], [14, 1], [15, 1]], 1/4354560], [[[2, 7], [6, 2], [14, 1], [20, 1]], 1/2903040], [[[2, 7], [6, 2], [14, 1], [24, 1]], 1/3483648], [[[2, 7], [6, 2], [14, 1], [30, 1]], 1/4354560], [[[2, 7], [6, 2], [15, 1], [18, 1]], 61/1007769600], [[[2, 7], [6, 2], [18, 1], [20, 1]], 61/671846400], [[[2, 7], [6, 2], [18, 1], [24, 1]], 61/806215680], [[[2, 7], [6, 2], [18, 1], [30, 1]], 61/1007769600], [[[2, 7], [6, 3], [8, 2], [10, 1]], 61/3583180800], [[[2, 7], [6, 3], [8, 2], [12, 1]], 241/34398535680], [[[2, 7], [6, 3], [10, 1], [12, 2]], 239/1074954240], [[[2, 7], [6, 3], [10, 1], [15, 1]], 61/559872000], [[[2, 7], [6, 3], [10, 1], [20, 1]], 61/373248000], [[[2, 7], [6, 3], [10, 1], [24, 1]], 61/447897600], [[[2, 7], [6, 3], [10, 1], [30, 1]], 61/559872000], [[[2, 7], [6, 3], [10, 2], [12, 1]], 54673/107495424000], [[[2, 7], [6, 3], [12, 1], [15, 1]], 241/5374771200], [[[2, 7], [6, 3], [12, 1], [20, 1]], 241/3583180800], [[[2, 7], [6, 3], [12, 1], [24, 1]], 241/4299816960], [[[2, 7], [6, 3], [12, 1], [30, 1]], 241/5374771200], [[[2, 7], [6, 3], [14, 1], [18, 1]], 1/6718464], [[[2, 7], [6, 4], [10, 1], [14, 1]], 401/10450944000], [[[2, 7], [6, 4], [10, 1], [18, 1]], 947/13436928000], [[[2, 7], [6, 4], [12, 1], [14, 1]], 5/125411328], [[[2, 7], [6, 4], [12, 1], [18, 1]], 341/9674588160], [[[2, 7], [6, 5], [10, 1], [12, 1]], 337/17915904000], [[[2, 7], [8, 2], [10, 1], [14, 1]], 1/12902400], [[[2, 7], [8, 2], [10, 1], [18, 1]], 1/49766400], [[[2, 7], [10, 1], [12, 2], [14, 1]], 1/19353600], [[[2, 7], [10, 1], [12, 2], [18, 1]], 1/74649600], [[[2, 7], [10, 1], [14, 1], [15, 1]], 1/2016000], [[[2, 7], [10, 1], [14, 1], [20, 1]], 1/1344000], [[[2, 7], [10, 1], [14, 1], [24, 1]], 1/1612800], [[[2, 7], [10, 1], [14, 1], [30, 1]], 1/2016000], [[[2, 7], [10, 1], [15, 1], [18, 1]], 1/7776000], [[[2, 7], [10, 1], [18, 1], [20, 1]], 1/5184000], [[[2, 7], [10, 1], [18, 1], [24, 1]], 1/6220800], [[[2, 7], [10, 1], [18, 1], [30, 1]], 1/7776000], [[[2, 9], [3, 1], [4, 4], [9, 1]], 47251/3467372396544000], [[[2, 9], [3, 1], [5, 2], [9, 1]], 1/45148078080000], [[[2, 9], [3, 1], [6, 4], [9, 1]], 8108801/11702381838336000], [[[2, 9], [3, 1], [8, 2], [9, 1]], 1/14447384985600], [[[2, 9], [3, 1], [9, 1], [10, 2]], 145153/45148078080000], [[[2, 9], [3, 1], [9, 1], [12, 2]], 1/21671077478400], [[[2, 9], [3, 1], [9, 1], [15, 1]], 1/2257403904000], [[[2, 9], [3, 1], [9, 1], [20, 1]], 1/1504935936000], [[[2, 9], [3, 1], [9, 1], [24, 1]], 1/1805923123200], [[[2, 9], [3, 1], [9, 1], [30, 1]], 1/2257403904000], [[[2, 9], [3, 2], [4, 2], [6, 4]], 989/2476694568960], [[[2, 9], [3, 2], [4, 2], [12, 2]], 1/28894769971200], [[[2, 9], [3, 2], [4, 4], [6, 2]], 6099731/110955916689408000], [[[2, 9], [3, 2], [4, 4], [12, 1]], 47251/18492652781568000], [[[2, 9], [3, 2], [5, 2], [6, 2]], 4481/1444738498560000], [[[2, 9], [3, 2], [5, 2], [12, 1]], 1/240789749760000], [[[2, 9], [3, 2], [6, 2], [8, 2]], 4481/462316319539200], [[[2, 9], [3, 2], [6, 2], [10, 2]], 11761793/1444738498560000], [[[2, 9], [3, 2], [6, 2], [12, 2]], 31511/693474479308800], [[[2, 9], [3, 2], [6, 2], [15, 1]], 4481/72236924928000], [[[2, 9], [3, 2], [6, 2], [20, 1]], 4481/48157949952000], [[[2, 9], [3, 2], [6, 2], [24, 1]], 4553/57789539942400], [[[2, 9], [3, 2], [6, 2], [30, 1]], 4481/72236924928000], [[[2, 9], [3, 2], [6, 3], [14, 1]], 241/30098718720], [[[2, 9], [3, 2], [6, 3], [18, 1]], 10163/4815794995200], [[[2, 9], [3, 2], [6, 4], [10, 1]], 251/64497254400], [[[2, 9], [3, 2], [6, 4], [12, 1]], 15097613/8916100448256000], [[[2, 9], [3, 2], [8, 2], [12, 1]], 1/77052719923200], [[[2, 9], [3, 2], [10, 2], [12, 1]], 145153/240789749760000], [[[2, 9], [3, 2], [12, 1], [15, 1]], 1/12039487488000], [[[2, 9], [3, 2], [12, 1], [20, 1]], 1/8026324992000], [[[2, 9], [3, 2], [12, 1], [24, 1]], 1/9631589990400], [[[2, 9], [3, 2], [12, 1], [30, 1]], 1/12039487488000], [[[2, 9], [3, 3], [6, 2], [9, 1]], 4481/130026464870400], [[[2, 9], [3, 3], [9, 1], [12, 1]], 1/21671077478400], [[[2, 9], [3, 4], [4, 2], [6, 2]], 4069/222902511206400], [[[2, 9], [3, 4], [4, 2], [10, 1]], 1/6879707136000], [[[2, 9], [3, 4], [4, 2], [12, 1]], 1/15603175784448000], [[[2, 9], [3, 4], [6, 1], [14, 1]], 1/2708884684800], [[[2, 9], [3, 4], [6, 1], [18, 1]], 1121/11702381838336000], [[[2, 9], [3, 4], [6, 2], [10, 1]], 1627/5804752896000], [[[2, 9], [3, 4], [6, 2], [12, 1]], 58253/8916100448256000], [[[2, 9], [4, 1], [6, 1], [8, 3]], 1/15288238080], [[[2, 9], [4, 1], [6, 5], [8, 1]], 2401/12383472844800], [[[2, 9], [4, 2], [5, 2], [6, 2]], 19/859963392000], [[[2, 9], [4, 2], [5, 2], [10, 1]], 1/26542080000], [[[2, 9], [4, 2], [5, 2], [12, 1]], 1/60197437440000], [[[2, 9], [4, 2], [6, 2], [8, 2]], 1639/275188285440], [[[2, 9], [4, 2], [6, 2], [10, 2]], 13627/859963392000], [[[2, 9], [4, 2], [6, 2], [12, 2]], 8237/9631589990400], [[[2, 9], [4, 2], [6, 2], [15, 1]], 19/42998169600], [[[2, 9], [4, 2], [6, 2], [20, 1]], 19/28665446400], [[[2, 9], [4, 2], [6, 2], [24, 1]], 19/34398535680], [[[2, 9], [4, 2], [6, 2], [30, 1]], 19/42998169600], [[[2, 9], [4, 2], [6, 3], [14, 1]], 97/8026324992], [[[2, 9], [4, 2], [6, 3], [18, 1]], 523/154793410560], [[[2, 9], [4, 2], [6, 4], [10, 1]], 13147/2293235712000], [[[2, 9], [4, 2], [6, 4], [12, 1]], 45493001/15603175784448000], [[[2, 9], [4, 2], [8, 1], [16, 1]], 1/356725555200], [[[2, 9], [4, 2], [8, 2], [10, 1]], 109/8493465600], [[[2, 9], [4, 2], [8, 2], [12, 1]], 13/19263179980800], [[[2, 9], [4, 2], [10, 1], [12, 2]], 1/12740198400], [[[2, 9], [4, 2], [10, 1], [15, 1]], 1/1327104000], [[[2, 9], [4, 2], [10, 1], [20, 1]], 1/884736000], [[[2, 9], [4, 2], [10, 1], [24, 1]], 1/1061683200], [[[2, 9], [4, 2], [10, 1], [30, 1]], 1/1327104000], [[[2, 9], [4, 2], [10, 2], [12, 1]], 145153/60197437440000], [[[2, 9], [4, 2], [12, 1], [15, 1]], 1/3009871872000], [[[2, 9], [4, 2], [12, 1], [20, 1]], 13/2006581248000], [[[2, 9], [4, 2], [12, 1], [24, 1]], 1/343985356800], [[[2, 9], [4, 2], [12, 1], [30, 1]], 1/3009871872000], [[[2, 9], [4, 2], [14, 1], [18, 1]], 1/111476736], [[[2, 9], [4, 3], [6, 3], [8, 1]], 97/36691771392], [[[2, 9], [4, 3], [8, 1], [14, 1]], 1/132120576], [[[2, 9], [4, 3], [8, 1], [18, 1]], 1/509607936], [[[2, 9], [4, 4], [6, 1], [14, 1]], 193/114661785600], [[[2, 9], [4, 4], [6, 1], [18, 1]], 1560371/3467372396544000], [[[2, 9], [4, 4], [6, 2], [10, 1]], 2437/1719926784000], [[[2, 9], [4, 4], [6, 2], [12, 1]], 1056059/2054739197952000], [[[2, 9], [4, 4], [10, 1], [12, 1]], 1/3185049600], [[[2, 9], [4, 5], [6, 1], [8, 1]], 1351/3669177139200], [[[2, 9], [5, 2], [6, 1], [14, 1]], 1/10450944000], [[[2, 9], [5, 2], [6, 1], [18, 1]], 1121/45148078080000], [[[2, 9], [5, 2], [6, 2], [10, 1]], 7/22394880000], [[[2, 9], [5, 2], [6, 2], [12, 1]], 4481/240789749760000], [[[2, 9], [6, 1], [8, 2], [14, 1]], 1/3344302080], [[[2, 9], [6, 1], [8, 2], [18, 1]], 1121/14447384985600], [[[2, 9], [6, 1], [10, 2], [14, 1]], 2593/10450944000], [[[2, 9], [6, 1], [10, 2], [18, 1]], 3049313/45148078080000], [[[2, 9], [6, 1], [12, 2], [14, 1]], 1/5016453120], [[[2, 9], [6, 1], [12, 2], [18, 1]], 1121/21671077478400], [[[2, 9], [6, 1], [14, 1], [15, 1]], 1/522547200], [[[2, 9], [6, 1], [14, 1], [20, 1]], 1/348364800], [[[2, 9], [6, 1], [14, 1], [24, 1]], 1/418037760], [[[2, 9], [6, 1], [14, 1], [30, 1]], 1/522547200], [[[2, 9], [6, 1], [15, 1], [18, 1]], 1121/2257403904000], [[[2, 9], [6, 1], [18, 1], [20, 1]], 1121/1504935936000], [[[2, 9], [6, 1], [18, 1], [24, 1]], 1121/1805923123200], [[[2, 9], [6, 1], [18, 1], [30, 1]], 1121/2257403904000], [[[2, 9], [6, 2], [8, 2], [10, 1]], 7/7166361600], [[[2, 9], [6, 2], [8, 2], [12, 1]], 4481/77052719923200], [[[2, 9], [6, 2], [10, 1], [12, 2]], 23/2149908480], [[[2, 9], [6, 2], [10, 1], [15, 1]], 7/1119744000], [[[2, 9], [6, 2], [10, 1], [20, 1]], 7/746496000], [[[2, 9], [6, 2], [10, 1], [24, 1]], 7/895795200], [[[2, 9], [6, 2], [10, 1], [30, 1]], 7/1119744000], [[[2, 9], [6, 2], [10, 2], [12, 1]], 11761793/240789749760000], [[[2, 9], [6, 2], [12, 1], [15, 1]], 4481/12039487488000], [[[2, 9], [6, 2], [12, 1], [20, 1]], 4481/8026324992000], [[[2, 9], [6, 2], [12, 1], [24, 1]], 4481/9631589990400], [[[2, 9], [6, 2], [12, 1], [30, 1]], 4481/12039487488000], [[[2, 9], [6, 2], [14, 1], [18, 1]], 61/940584960], [[[2, 9], [6, 3], [10, 1], [14, 1]], 61/522547200], [[[2, 9], [6, 3], [10, 1], [18, 1]], 17/503884800], [[[2, 9], [6, 3], [12, 1], [14, 1]], 241/5016453120], [[[2, 9], [6, 3], [12, 1], [18, 1]], 10163/802632499200], [[[2, 9], [6, 4], [10, 1], [12, 1]], 251/10749542400], [[[2, 9], [10, 1], [14, 1], [18, 1]], 1/7257600], [[[2, 11], [3, 1], [6, 3], [9, 1]], 6721/585119091916800], [[[2, 11], [3, 1], [9, 1], [14, 1]], 1/2106910310400], [[[2, 11], [3, 1], [9, 1], [18, 1]], 1/8126654054400], [[[2, 11], [3, 2], [4, 2], [6, 3]], 7117/462316319539200], [[[2, 11], [3, 2], [4, 4], [6, 1]], 47251/55477958344704000], [[[2, 11], [3, 2], [5, 2], [6, 1]], 1/722369249280000], [[[2, 11], [3, 2], [6, 1], [8, 2]], 1/231158159769600], [[[2, 11], [3, 2], [6, 1], [10, 2]], 145153/722369249280000], [[[2, 11], [3, 2], [6, 1], [12, 2]], 1/49533891379200], [[[2, 11], [3, 2], [6, 1], [15, 1]], 1/36118462464000], [[[2, 11], [3, 2], [6, 1], [20, 1]], 1/24078974976000], [[[2, 11], [3, 2], [6, 1], [24, 1]], 1/28894769971200], [[[2, 11], [3, 2], [6, 1], [30, 1]], 1/36118462464000], [[[2, 11], [3, 2], [6, 2], [14, 1]], 4481/67421129932800], [[[2, 11], [3, 2], [6, 2], [18, 1]], 299/17336861982720], [[[2, 11], [3, 2], [6, 3], [10, 1]], 3497/16052649984000], [[[2, 11], [3, 2], [6, 3], [12, 1]], 47059/3120635156889600], [[[2, 11], [3, 2], [12, 1], [14, 1]], 1/11236854988800], [[[2, 11], [3, 2], [12, 1], [18, 1]], 1/43342154956800], [[[2, 11], [3, 3], [6, 1], [9, 1]], 1/65013232435200], [[[2, 11], [3, 4], [4, 1], [8, 1]], 1/27738979172352000], [[[2, 11], [3, 4], [4, 2], [6, 1]], 71/124825406275584000], [[[2, 11], [3, 4], [6, 1], [10, 1]], 113/13002646487040000], [[[2, 11], [3, 4], [6, 1], [12, 1]], 13/4458050224128000], [[[2, 11], [4, 1], [5, 2], [8, 1]], 1/107017666560000], [[[2, 11], [4, 1], [6, 4], [8, 1]], 8108801/27738979172352000], [[[2, 11], [4, 1], [8, 1], [10, 2]], 145153/107017666560000], [[[2, 11], [4, 1], [8, 1], [12, 2]], 1/51368479948800], [[[2, 11], [4, 1], [8, 1], [15, 1]], 1/5350883328000], [[[2, 11], [4, 1], [8, 1], [20, 1]], 1/3567255552000], [[[2, 11], [4, 1], [8, 1], [24, 1]], 1/4280706662400], [[[2, 11], [4, 1], [8, 1], [30, 1]], 1/5350883328000], [[[2, 11], [4, 2], [5, 2], [6, 1]], 71/481579499520000], [[[2, 11], [4, 2], [6, 1], [8, 2]], 7631/154105439846400], [[[2, 11], [4, 2], [6, 1], [10, 2]], 326663/481579499520000], [[[2, 11], [4, 2], [6, 1], [12, 2]], 29/77052719923200], [[[2, 11], [4, 2], [6, 1], [15, 1]], 71/24078974976000], [[[2, 11], [4, 2], [6, 1], [20, 1]], 71/16052649984000], [[[2, 11], [4, 2], [6, 1], [24, 1]], 71/19263179980800], [[[2, 11], [4, 2], [6, 1], [30, 1]], 71/24078974976000], [[[2, 11], [4, 2], [6, 2], [14, 1]], 19/40131624960], [[[2, 11], [4, 2], [6, 2], [18, 1]], 599/4815794995200], [[[2, 11], [4, 2], [6, 3], [10, 1]], 173/343985356800], [[[2, 11], [4, 2], [6, 3], [12, 1]], 18007/178322008965120], [[[2, 11], [4, 2], [10, 1], [14, 1]], 1/1238630400], [[[2, 11], [4, 2], [10, 1], [18, 1]], 1/4777574400], [[[2, 11], [4, 2], [12, 1], [14, 1]], 1/2809213747200], [[[2, 11], [4, 2], [12, 1], [18, 1]], 1/10835538739200], [[[2, 11], [4, 3], [6, 2], [8, 1]], 19/183458856960], [[[2, 11], [4, 3], [8, 1], [10, 1]], 1/5662310400], [[[2, 11], [4, 3], [8, 1], [12, 1]], 1/12842119987200], [[[2, 11], [4, 4], [6, 1], [10, 1]], 198563/3852635996160000], [[[2, 11], [4, 4], [6, 1], [12, 1]], 2791/440301256704000], [[[2, 11], [5, 2], [6, 1], [10, 1]], 113/50164531200000], [[[2, 11], [5, 2], [6, 1], [12, 1]], 1/120394874880000], [[[2, 11], [6, 1], [8, 2], [10, 1]], 113/16052649984000], [[[2, 11], [6, 1], [8, 2], [12, 1]], 1/38526359961600], [[[2, 11], [6, 1], [10, 1], [12, 2]], 113/24078974976000], [[[2, 11], [6, 1], [10, 1], [15, 1]], 113/2508226560000], [[[2, 11], [6, 1], [10, 1], [20, 1]], 113/1672151040000], [[[2, 11], [6, 1], [10, 1], [24, 1]], 113/2006581248000], [[[2, 11], [6, 1], [10, 1], [30, 1]], 113/2508226560000], [[[2, 11], [6, 1], [10, 2], [12, 1]], 145153/120394874880000], [[[2, 11], [6, 1], [12, 1], [15, 1]], 1/6019743744000], [[[2, 11], [6, 1], [12, 1], [20, 1]], 1/4013162496000], [[[2, 11], [6, 1], [12, 1], [24, 1]], 1/4815794995200], [[[2, 11], [6, 1], [12, 1], [30, 1]], 1/6019743744000], [[[2, 11], [6, 1], [14, 1], [18, 1]], 1121/2106910310400], [[[2, 11], [6, 2], [10, 1], [14, 1]], 1/149299200], [[[2, 11], [6, 2], [10, 1], [18, 1]], 2651/1504935936000], [[[2, 11], [6, 2], [12, 1], [14, 1]], 4481/11236854988800], [[[2, 11], [6, 2], [12, 1], [18, 1]], 299/2889476997120], [[[2, 11], [6, 3], [10, 1], [12, 1]], 3497/2675441664000], [[[2, 13], [3, 1], [4, 2], [9, 1]], 1/1386948958617600], [[[2, 13], [3, 1], [6, 2], [9, 1]], 31/585119091916800], [[[2, 13], [3, 1], [9, 1], [10, 1]], 1/90296156160000], [[[2, 13], [3, 2], [4, 2], [6, 2]], 101/986274815016960], [[[2, 13], [3, 2], [4, 2], [12, 1]], 1/7397061112627200], [[[2, 13], [3, 2], [6, 1], [14, 1]], 1/33710564966400], [[[2, 13], [3, 2], [6, 1], [18, 1]], 1/130026464870400], [[[2, 13], [3, 2], [6, 2], [10, 1]], 1507/963158999040000], [[[2, 13], [3, 2], [6, 2], [12, 1]], 7/445805022412800], [[[2, 13], [3, 2], [10, 1], [12, 1]], 1/481579499520000], [[[2, 13], [4, 1], [6, 3], [8, 1]], 6721/1386948958617600], [[[2, 13], [4, 1], [8, 1], [14, 1]], 1/4994157772800], [[[2, 13], [4, 1], [8, 1], [18, 1]], 1/19263179980800], [[[2, 13], [4, 2], [6, 1], [14, 1]], 71/22473709977600], [[[2, 13], [4, 2], [6, 1], [18, 1]], 379/462316319539200], [[[2, 13], [4, 2], [6, 2], [10, 1]], 67/5350883328000], [[[2, 13], [4, 2], [6, 2], [12, 1]], 130651/199720650040934400], [[[2, 13], [4, 2], [10, 1], [12, 1]], 1/120394874880000], [[[2, 13], [4, 3], [6, 1], [8, 1]], 71/102736959897600], [[[2, 13], [6, 1], [10, 1], [14, 1]], 113/2341011456000], [[[2, 13], [6, 1], [10, 1], [18, 1]], 377/30098718720000], [[[2, 13], [6, 1], [12, 1], [14, 1]], 1/5618427494400], [[[2, 13], [6, 1], [12, 1], [18, 1]], 1/21671077478400], [[[2, 13], [6, 2], [10, 1], [12, 1]], 1507/160526499840000], [[[2, 15], [3, 1], [6, 1], [9, 1]], 1/23404763676672000], [[[2, 15], [3, 2], [4, 2], [6, 1]], 1/22191183337881600], [[[2, 15], [3, 2], [6, 1], [10, 1]], 1/1444738498560000], [[[2, 15], [3, 2], [6, 1], [12, 1]], 1/124825406275584000], [[[2, 15], [4, 1], [6, 2], [8, 1]], 31/1386948958617600], [[[2, 15], [4, 1], [8, 1], [10, 1]], 1/214035333120000], [[[2, 15], [4, 2], [6, 1], [10, 1]], 191/2568423997440000], [[[2, 15], [4, 2], [6, 1], [12, 1]], 151/499301625102336000], [[[2, 15], [6, 1], [10, 1], [12, 1]], 1/240789749760000], [[[2, 17], [4, 1], [6, 1], [8, 1]], 1/55477958344704000], [[[1, 1], [2, 2], [3, 1], [4, 1], [6, 9]], 1/6965703475200], [[[1, 1], [2, 2], [3, 1], [4, 2], [12, 4]], 7/5971968], [[[1, 1], [2, 2], [3, 1], [4, 4], [5, 3]], 1/3317760000], [[[1, 1], [2, 2], [3, 1], [4, 4], [6, 6]], 1/4127824281600], [[[1, 1], [2, 2], [3, 1], [4, 4], [8, 3]], 241/849346560], [[[1, 1], [2, 2], [3, 1], [4, 4], [9, 2]], 1/179159040], [[[1, 1], [2, 2], [3, 1], [4, 4], [12, 3]], 3841/1274019840], [[[1, 1], [2, 2], [3, 1], [4, 5], [6, 5]], 1/1031956070400], [[[1, 1], [2, 2], [3, 1], [4, 6], [12, 2]], 19/955514880], [[[1, 1], [2, 2], [3, 1], [4, 7], [9, 1]], 17/16052649984], [[[1, 1], [2, 2], [3, 1], [4, 8], [5, 1]], 17/2140353331200], [[[1, 1], [2, 2], [3, 1], [4, 8], [6, 2]], 17/10273695989760], [[[1, 1], [2, 2], [3, 1], [4, 8], [8, 1]], 17/1712282664960], [[[1, 1], [2, 2], [3, 1], [4, 8], [12, 1]], 17/1712282664960], [[[1, 1], [2, 2], [3, 1], [4, 9], [6, 1]], 17/2568423997440], [[[1, 1], [2, 2], [3, 1], [5, 1], [6, 8]], 1/5804752896000], [[[1, 1], [2, 2], [3, 1], [5, 1], [8, 4]], 1/4915200], [[[1, 1], [2, 2], [3, 1], [5, 1], [10, 4]], 1/86400000], [[[1, 1], [2, 2], [3, 1], [5, 1], [12, 4]], 23/298598400], [[[1, 1], [2, 2], [3, 1], [5, 1], [15, 2]], 1/216000], [[[1, 1], [2, 2], [3, 1], [5, 1], [16, 2]], 1/46080], [[[1, 1], [2, 2], [3, 1], [5, 1], [20, 2]], 1/57600], [[[1, 1], [2, 2], [3, 1], [5, 1], [24, 2]], 1/46080], [[[1, 1], [2, 2], [3, 1], [5, 1], [30, 2]], 1/216000], [[[1, 1], [2, 2], [3, 1], [5, 1], [40, 1]], 1/4800], [[[1, 1], [2, 2], [3, 1], [5, 1], [48, 1]], 1/5760], [[[1, 1], [2, 2], [3, 1], [5, 1], [60, 1]], 1/7200], [[[1, 1], [2, 2], [3, 1], [5, 2], [6, 6]], 1/53747712000], [[[1, 1], [2, 2], [3, 1], [5, 2], [8, 3]], 1/11059200], [[[1, 1], [2, 2], [3, 1], [5, 2], [9, 2]], 1/2332800], [[[1, 1], [2, 2], [3, 1], [5, 2], [12, 3]], 1/16588800], [[[1, 1], [2, 2], [3, 1], [5, 3], [6, 4]], 1/11197440000], [[[1, 1], [2, 2], [3, 1], [5, 3], [8, 2]], 1/13824000], [[[1, 1], [2, 2], [3, 1], [5, 3], [10, 2]], 301/43200000], [[[1, 1], [2, 2], [3, 1], [5, 3], [12, 2]], 1/20736000], [[[1, 1], [2, 2], [3, 1], [5, 3], [15, 1]], 1/2160000], [[[1, 1], [2, 2], [3, 1], [5, 3], [20, 1]], 1/1440000], [[[1, 1], [2, 2], [3, 1], [5, 3], [24, 1]], 1/1728000], [[[1, 1], [2, 2], [3, 1], [5, 3], [30, 1]], 1/2160000], [[[1, 1], [2, 2], [3, 1], [5, 4], [6, 2]], 1/414720000], [[[1, 1], [2, 2], [3, 1], [5, 4], [8, 1]], 1/69120000], [[[1, 1], [2, 2], [3, 1], [5, 4], [12, 1]], 1/69120000], [[[1, 1], [2, 2], [3, 1], [6, 1], [9, 3]], 1/15552], [[[1, 1], [2, 2], [3, 1], [6, 1], [18, 3]], 1/15552], [[[1, 1], [2, 2], [3, 1], [6, 1], [27, 1]], 1/216], [[[1, 1], [2, 2], [3, 1], [6, 1], [54, 1]], 1/216], [[[1, 1], [2, 2], [3, 1], [6, 2], [8, 4]], 1/23592960], [[[1, 1], [2, 2], [3, 1], [6, 2], [10, 4]], 1/414720000], [[[1, 1], [2, 2], [3, 1], [6, 2], [12, 4]], 203/1433272320], [[[1, 1], [2, 2], [3, 1], [6, 2], [15, 2]], 1/1036800], [[[1, 1], [2, 2], [3, 1], [6, 2], [16, 2]], 1/221184], [[[1, 1], [2, 2], [3, 1], [6, 2], [20, 2]], 1/276480], [[[1, 1], [2, 2], [3, 1], [6, 2], [24, 2]], 1/221184], [[[1, 1], [2, 2], [3, 1], [6, 2], [30, 2]], 1/1036800], [[[1, 1], [2, 2], [3, 1], [6, 2], [40, 1]], 1/23040], [[[1, 1], [2, 2], [3, 1], [6, 2], [48, 1]], 1/27648], [[[1, 1], [2, 2], [3, 1], [6, 2], [60, 1]], 1/34560], [[[1, 1], [2, 2], [3, 1], [6, 4], [8, 3]], 1/2866544640], [[[1, 1], [2, 2], [3, 1], [6, 4], [9, 2]], 1/604661760], [[[1, 1], [2, 2], [3, 1], [6, 4], [12, 3]], 361/4299816960], [[[1, 1], [2, 2], [3, 1], [6, 4], [18, 2]], 1/3359232], [[[1, 1], [2, 2], [3, 1], [6, 6], [8, 2]], 1/17199267840], [[[1, 1], [2, 2], [3, 1], [6, 6], [10, 2]], 1/53747712000], [[[1, 1], [2, 2], [3, 1], [6, 6], [12, 2]], 277/25798901760], [[[1, 1], [2, 2], [3, 1], [6, 6], [15, 1]], 1/2687385600], [[[1, 1], [2, 2], [3, 1], [6, 6], [20, 1]], 1/1791590400], [[[1, 1], [2, 2], [3, 1], [6, 6], [24, 1]], 1/2149908480], [[[1, 1], [2, 2], [3, 1], [6, 6], [30, 1]], 1/2687385600], [[[1, 1], [2, 2], [3, 1], [6, 7], [9, 1]], 1/32651735040], [[[1, 1], [2, 2], [3, 1], [6, 7], [18, 1]], 1/4837294080], [[[1, 1], [2, 2], [3, 1], [6, 8], [8, 1]], 1/4643802316800], [[[1, 1], [2, 2], [3, 1], [6, 8], [12, 1]], 181/4643802316800], [[[1, 1], [2, 2], [3, 1], [8, 1], [10, 4]], 1/69120000], [[[1, 1], [2, 2], [3, 1], [8, 1], [12, 4]], 23/238878720], [[[1, 1], [2, 2], [3, 1], [8, 1], [15, 2]], 1/172800], [[[1, 1], [2, 2], [3, 1], [8, 1], [16, 2]], 1/36864], [[[1, 1], [2, 2], [3, 1], [8, 1], [20, 2]], 1/46080], [[[1, 1], [2, 2], [3, 1], [8, 1], [24, 2]], 1/36864], [[[1, 1], [2, 2], [3, 1], [8, 1], [30, 2]], 1/172800], [[[1, 1], [2, 2], [3, 1], [8, 1], [40, 1]], 1/3840], [[[1, 1], [2, 2], [3, 1], [8, 1], [48, 1]], 1/4608], [[[1, 1], [2, 2], [3, 1], [8, 1], [60, 1]], 1/5760], [[[1, 1], [2, 2], [3, 1], [8, 2], [9, 2]], 1/746496], [[[1, 1], [2, 2], [3, 1], [8, 2], [12, 3]], 1/5308416], [[[1, 1], [2, 2], [3, 1], [8, 3], [10, 2]], 1/11059200], [[[1, 1], [2, 2], [3, 1], [8, 3], [12, 2]], 1/5308416], [[[1, 1], [2, 2], [3, 1], [8, 3], [15, 1]], 1/552960], [[[1, 1], [2, 2], [3, 1], [8, 3], [20, 1]], 1/368640], [[[1, 1], [2, 2], [3, 1], [8, 3], [24, 1]], 11/147456], [[[1, 1], [2, 2], [3, 1], [8, 3], [30, 1]], 1/552960], [[[1, 1], [2, 2], [3, 1], [8, 4], [12, 1]], 1/3932160], [[[1, 1], [2, 2], [3, 1], [9, 2], [10, 2]], 1/2332800], [[[1, 1], [2, 2], [3, 1], [9, 2], [12, 2]], 1/1119744], [[[1, 1], [2, 2], [3, 1], [9, 2], [15, 1]], 1/116640], [[[1, 1], [2, 2], [3, 1], [9, 2], [20, 1]], 1/77760], [[[1, 1], [2, 2], [3, 1], [9, 2], [24, 1]], 1/93312], [[[1, 1], [2, 2], [3, 1], [9, 2], [30, 1]], 1/116640], [[[1, 1], [2, 2], [3, 1], [10, 2], [12, 3]], 1/16588800], [[[1, 1], [2, 2], [3, 1], [10, 4], [12, 1]], 1/69120000], [[[1, 1], [2, 2], [3, 1], [12, 1], [15, 2]], 1/172800], [[[1, 1], [2, 2], [3, 1], [12, 1], [16, 2]], 1/36864], [[[1, 1], [2, 2], [3, 1], [12, 1], [20, 2]], 1/46080], [[[1, 1], [2, 2], [3, 1], [12, 1], [24, 2]], 1/36864], [[[1, 1], [2, 2], [3, 1], [12, 1], [30, 2]], 1/172800], [[[1, 1], [2, 2], [3, 1], [12, 1], [40, 1]], 1/3840], [[[1, 1], [2, 2], [3, 1], [12, 1], [48, 1]], 1/4608], [[[1, 1], [2, 2], [3, 1], [12, 1], [60, 1]], 1/5760], [[[1, 1], [2, 2], [3, 1], [12, 2], [36, 1]], 1/10368], [[[1, 1], [2, 2], [3, 1], [12, 3], [15, 1]], 1/829440], [[[1, 1], [2, 2], [3, 1], [12, 3], [20, 1]], 1/552960], [[[1, 1], [2, 2], [3, 1], [12, 3], [24, 1]], 13/663552], [[[1, 1], [2, 2], [3, 1], [12, 3], [30, 1]], 1/829440], [[[1, 1], [2, 2], [3, 2], [4, 1], [12, 4]], 7/11943936], [[[1, 1], [2, 2], [3, 2], [4, 2], [6, 7]], 1/309586821120], [[[1, 1], [2, 2], [3, 2], [4, 3], [6, 6]], 1/412782428160], [[[1, 1], [2, 2], [3, 2], [4, 3], [9, 2]], 1/8957952], [[[1, 1], [2, 2], [3, 2], [4, 3], [12, 3]], 385/127401984], [[[1, 1], [2, 2], [3, 2], [4, 4], [6, 5]], 11/3095868211200], [[[1, 1], [2, 2], [3, 2], [4, 5], [12, 2]], 17/127401984], [[[1, 1], [2, 2], [3, 2], [4, 6], [6, 3]], 1/91729428480], [[[1, 1], [2, 2], [3, 2], [4, 7], [6, 2]], 17/513684799488], [[[1, 1], [2, 2], [3, 2], [4, 7], [12, 1]], 17/85614133248], [[[1, 1], [2, 2], [3, 2], [4, 8], [6, 1]], 17/7705271992320], [[[1, 1], [2, 2], [3, 2], [5, 2], [6, 5]], 11/40310784000], [[[1, 1], [2, 2], [3, 2], [5, 3], [9, 1]], 1/3888000], [[[1, 1], [2, 2], [3, 2], [5, 4], [6, 1]], 1/311040000], [[[1, 1], [2, 2], [3, 2], [6, 1], [8, 4]], 1/17694720], [[[1, 1], [2, 2], [3, 2], [6, 1], [10, 4]], 1/311040000], [[[1, 1], [2, 2], [3, 2], [6, 1], [12, 4]], 203/1074954240], [[[1, 1], [2, 2], [3, 2], [6, 1], [15, 2]], 1/777600], [[[1, 1], [2, 2], [3, 2], [6, 1], [16, 2]], 1/165888], [[[1, 1], [2, 2], [3, 2], [6, 1], [20, 2]], 1/207360], [[[1, 1], [2, 2], [3, 2], [6, 1], [24, 2]], 1/165888], [[[1, 1], [2, 2], [3, 2], [6, 1], [30, 2]], 1/777600], [[[1, 1], [2, 2], [3, 2], [6, 1], [40, 1]], 1/17280], [[[1, 1], [2, 2], [3, 2], [6, 1], [48, 1]], 1/20736], [[[1, 1], [2, 2], [3, 2], [6, 1], [60, 1]], 1/25920], [[[1, 1], [2, 2], [3, 2], [6, 3], [8, 3]], 1/31850496], [[[1, 1], [2, 2], [3, 2], [6, 3], [9, 2]], 1/22674816], [[[1, 1], [2, 2], [3, 2], [6, 3], [10, 3]], 1/62208000], [[[1, 1], [2, 2], [3, 2], [6, 3], [12, 3]], 1369/322486272], [[[1, 1], [2, 2], [3, 2], [6, 3], [18, 2]], 1/1679616], [[[1, 1], [2, 2], [3, 2], [6, 5], [8, 2]], 11/12899450880], [[[1, 1], [2, 2], [3, 2], [6, 5], [10, 2]], 11/40310784000], [[[1, 1], [2, 2], [3, 2], [6, 5], [12, 2]], 2327/19349176320], [[[1, 1], [2, 2], [3, 2], [6, 5], [15, 1]], 11/2015539200], [[[1, 1], [2, 2], [3, 2], [6, 5], [20, 1]], 11/1343692800], [[[1, 1], [2, 2], [3, 2], [6, 5], [24, 1]], 731/1612431360], [[[1, 1], [2, 2], [3, 2], [6, 5], [30, 1]], 11/2015539200], [[[1, 1], [2, 2], [3, 2], [6, 6], [7, 1]], 1/15049359360], [[[1, 1], [2, 2], [3, 2], [6, 6], [9, 1]], 1/3869835264], [[[1, 1], [2, 2], [3, 2], [6, 6], [14, 1]], 1/7524679680], [[[1, 1], [2, 2], [3, 2], [6, 6], [18, 1]], 1/322486272], [[[1, 1], [2, 2], [3, 2], [6, 7], [8, 1]], 1/25798901760], [[[1, 1], [2, 2], [3, 2], [6, 7], [10, 1]], 1/16124313600], [[[1, 1], [2, 2], [3, 2], [6, 7], [12, 1]], 109/174142586880], [[[1, 1], [2, 2], [3, 2], [7, 1], [9, 2]], 1/326592], [[[1, 1], [2, 2], [3, 2], [7, 1], [12, 3]], 1/4644864], [[[1, 1], [2, 2], [3, 2], [8, 3], [9, 1]], 1/995328], [[[1, 1], [2, 2], [3, 2], [9, 1], [12, 3]], 5/5971968], [[[1, 1], [2, 2], [3, 2], [9, 2], [14, 1]], 1/163296], [[[1, 1], [2, 2], [3, 2], [9, 2], [18, 1]], 1/314928], [[[1, 1], [2, 2], [3, 2], [12, 3], [14, 1]], 1/2322432], [[[1, 1], [2, 2], [3, 2], [12, 3], [18, 1]], 1/4478976], [[[1, 1], [2, 2], [3, 3], [4, 1], [6, 7]], 5/7739670528], [[[1, 1], [2, 2], [3, 3], [4, 2], [12, 3]], 169/322486272], [[[1, 1], [2, 2], [3, 3], [4, 2], [28, 1]], 1/290304], [[[1, 1], [2, 2], [3, 3], [4, 2], [36, 1]], 1/1119744], [[[1, 1], [2, 2], [3, 3], [4, 4], [5, 2]], 1/143327232000], [[[1, 1], [2, 2], [3, 3], [4, 4], [6, 4]], 811/37150418534400], [[[1, 1], [2, 2], [3, 3], [4, 4], [8, 2]], 241/45864714240], [[[1, 1], [2, 2], [3, 3], [4, 4], [10, 2]], 1/143327232000], [[[1, 1], [2, 2], [3, 3], [4, 4], [12, 2]], 779/13759414272], [[[1, 1], [2, 2], [3, 3], [4, 4], [15, 1]], 1/7166361600], [[[1, 1], [2, 2], [3, 3], [4, 4], [20, 1]], 77/955514880], [[[1, 1], [2, 2], [3, 3], [4, 4], [24, 1]], 1/5733089280], [[[1, 1], [2, 2], [3, 3], [4, 4], [30, 1]], 1/7166361600], [[[1, 1], [2, 2], [3, 3], [4, 5], [6, 3]], 5/2293235712], [[[1, 1], [2, 2], [3, 3], [4, 6], [12, 1]], 19/51597803520], [[[1, 1], [2, 2], [3, 3], [5, 1], [6, 6]], 1/32248627200], [[[1, 1], [2, 2], [3, 3], [5, 1], [9, 2]], 1/699840], [[[1, 1], [2, 2], [3, 3], [5, 1], [12, 3]], 1/9953280], [[[1, 1], [2, 2], [3, 3], [5, 2], [6, 4]], 811/483729408000], [[[1, 1], [2, 2], [3, 3], [5, 2], [8, 2]], 1/597196800], [[[1, 1], [2, 2], [3, 3], [5, 2], [10, 2]], 301/1866240000], [[[1, 1], [2, 2], [3, 3], [5, 2], [12, 2]], 11/179159040], [[[1, 1], [2, 2], [3, 3], [5, 2], [15, 1]], 1/93312000], [[[1, 1], [2, 2], [3, 3], [5, 2], [20, 1]], 1/62208000], [[[1, 1], [2, 2], [3, 3], [5, 2], [24, 1]], 1/74649600], [[[1, 1], [2, 2], [3, 3], [5, 2], [30, 1]], 1/93312000], [[[1, 1], [2, 2], [3, 3], [5, 3], [6, 2]], 1/124416000], [[[1, 1], [2, 2], [3, 3], [5, 3], [12, 1]], 1/20736000], [[[1, 1], [2, 2], [3, 3], [6, 2], [8, 3]], 1/31850496], [[[1, 1], [2, 2], [3, 3], [6, 2], [9, 2]], 1/2239488], [[[1, 1], [2, 2], [3, 3], [6, 2], [12, 3]], 1369/429981696], [[[1, 1], [2, 2], [3, 3], [6, 2], [18, 2]], 1/30233088], [[[1, 1], [2, 2], [3, 3], [6, 4], [8, 2]], 811/154793410560], [[[1, 1], [2, 2], [3, 3], [6, 4], [10, 2]], 811/483729408000], [[[1, 1], [2, 2], [3, 3], [6, 4], [12, 2]], 25499/46438023168], [[[1, 1], [2, 2], [3, 3], [6, 4], [15, 1]], 811/24186470400], [[[1, 1], [2, 2], [3, 3], [6, 4], [20, 1]], 811/16124313600], [[[1, 1], [2, 2], [3, 3], [6, 4], [24, 1]], 59131/19349176320], [[[1, 1], [2, 2], [3, 3], [6, 4], [30, 1]], 811/24186470400], [[[1, 1], [2, 2], [3, 3], [6, 5], [9, 1]], 11/3627970560], [[[1, 1], [2, 2], [3, 3], [6, 5], [18, 1]], 811/43535646720], [[[1, 1], [2, 2], [3, 3], [6, 6], [8, 1]], 1/25798901760], [[[1, 1], [2, 2], [3, 3], [6, 6], [12, 1]], 829/232190115840], [[[1, 1], [2, 2], [3, 3], [8, 1], [9, 2]], 1/559872], [[[1, 1], [2, 2], [3, 3], [8, 1], [12, 3]], 1/7962624], [[[1, 1], [2, 2], [3, 3], [8, 2], [10, 2]], 1/597196800], [[[1, 1], [2, 2], [3, 3], [8, 2], [12, 2]], 55/286654464], [[[1, 1], [2, 2], [3, 3], [8, 2], [15, 1]], 1/29859840], [[[1, 1], [2, 2], [3, 3], [8, 2], [20, 1]], 1/19906560], [[[1, 1], [2, 2], [3, 3], [8, 2], [24, 1]], 11/7962624], [[[1, 1], [2, 2], [3, 3], [8, 2], [30, 1]], 1/29859840], [[[1, 1], [2, 2], [3, 3], [8, 3], [12, 1]], 1/5308416], [[[1, 1], [2, 2], [3, 3], [9, 2], [12, 1]], 1/373248], [[[1, 1], [2, 2], [3, 3], [10, 2], [12, 2]], 11/179159040], [[[1, 1], [2, 2], [3, 3], [10, 2], [15, 1]], 1/93312000], [[[1, 1], [2, 2], [3, 3], [10, 2], [20, 1]], 1/62208000], [[[1, 1], [2, 2], [3, 3], [10, 2], [24, 1]], 1/74649600], [[[1, 1], [2, 2], [3, 3], [10, 2], [30, 1]], 1/93312000], [[[1, 1], [2, 2], [3, 3], [12, 1], [36, 1]], 1/559872], [[[1, 1], [2, 2], [3, 3], [12, 2], [15, 1]], 11/8957952], [[[1, 1], [2, 2], [3, 3], [12, 2], [20, 1]], 11/5971968], [[[1, 1], [2, 2], [3, 3], [12, 2], [24, 1]], 67/35831808], [[[1, 1], [2, 2], [3, 3], [12, 2], [30, 1]], 11/8957952], [[[1, 1], [2, 2], [3, 3], [15, 1], [20, 1]], 1/3110400], [[[1, 1], [2, 2], [3, 3], [15, 1], [24, 1]], 1/3732480], [[[1, 1], [2, 2], [3, 3], [15, 1], [30, 1]], 1/291600], [[[1, 1], [2, 2], [3, 3], [20, 1], [24, 1]], 1/2488320], [[[1, 1], [2, 2], [3, 3], [20, 1], [30, 1]], 1/3110400], [[[1, 1], [2, 2], [3, 3], [24, 1], [30, 1]], 1/3732480], [[[1, 1], [2, 2], [3, 4], [4, 1], [5, 3]], 1/7464960000], [[[1, 1], [2, 2], [3, 4], [4, 1], [8, 3]], 1/283115520], [[[1, 1], [2, 2], [3, 4], [4, 1], [10, 3]], 1/7464960000], [[[1, 1], [2, 2], [3, 4], [4, 1], [12, 3]], 817/6449725440], [[[1, 1], [2, 2], [3, 4], [4, 1], [28, 1]], 1/17418240], [[[1, 1], [2, 2], [3, 4], [4, 1], [36, 1]], 1/22394880], [[[1, 1], [2, 2], [3, 4], [4, 2], [6, 5]], 81811/27862813900800], [[[1, 1], [2, 2], [3, 4], [4, 3], [5, 2]], 1/143327232000], [[[1, 1], [2, 2], [3, 4], [4, 3], [6, 4]], 81811/37150418534400], [[[1, 1], [2, 2], [3, 4], [4, 3], [8, 2]], 49/45864714240], [[[1, 1], [2, 2], [3, 4], [4, 3], [10, 2]], 1/143327232000], [[[1, 1], [2, 2], [3, 4], [4, 3], [12, 2]], 131/13759414272], [[[1, 1], [2, 2], [3, 4], [4, 3], [15, 1]], 1/7166361600], [[[1, 1], [2, 2], [3, 4], [4, 3], [16, 1]], 1/238878720], [[[1, 1], [2, 2], [3, 4], [4, 3], [20, 1]], 13/955514880], [[[1, 1], [2, 2], [3, 4], [4, 3], [24, 1]], 1/5733089280], [[[1, 1], [2, 2], [3, 4], [4, 3], [30, 1]], 1/7166361600], [[[1, 1], [2, 2], [3, 4], [4, 4], [6, 3]], 811/27862813900800], [[[1, 1], [2, 2], [3, 4], [4, 4], [7, 1]], 1/401316249600], [[[1, 1], [2, 2], [3, 4], [4, 4], [9, 1]], 41/515978035200], [[[1, 1], [2, 2], [3, 4], [4, 4], [14, 1]], 1/200658124800], [[[1, 1], [2, 2], [3, 4], [4, 4], [18, 1]], 1/386983526400], [[[1, 1], [2, 2], [3, 4], [4, 5], [5, 1]], 1/573308928000], [[[1, 1], [2, 2], [3, 4], [4, 5], [8, 1]], 203/1834588569600], [[[1, 1], [2, 2], [3, 4], [4, 5], [10, 1]], 1/573308928000], [[[1, 1], [2, 2], [3, 4], [4, 5], [12, 1]], 17/68797071360], [[[1, 1], [2, 2], [3, 4], [4, 6], [6, 1]], 1/8255648563200], [[[1, 1], [2, 2], [3, 4], [5, 2], [6, 3]], 811/362797056000], [[[1, 1], [2, 2], [3, 4], [5, 2], [7, 1]], 1/5225472000], [[[1, 1], [2, 2], [3, 4], [5, 2], [9, 1]], 41/6718464000], [[[1, 1], [2, 2], [3, 4], [5, 2], [14, 1]], 1/2612736000], [[[1, 1], [2, 2], [3, 4], [5, 2], [18, 1]], 1/5038848000], [[[1, 1], [2, 2], [3, 4], [6, 1], [8, 3]], 1/2866544640], [[[1, 1], [2, 2], [3, 4], [6, 1], [9, 2]], 1/2519424], [[[1, 1], [2, 2], [3, 4], [6, 1], [10, 3]], 1/5598720000], [[[1, 1], [2, 2], [3, 4], [6, 1], [12, 3]], 361/3224862720], [[[1, 1], [2, 2], [3, 4], [6, 1], [18, 2]], 1/453496320], [[[1, 1], [2, 2], [3, 4], [6, 3], [8, 2]], 811/116095057920], [[[1, 1], [2, 2], [3, 4], [6, 3], [10, 2]], 811/362797056000], [[[1, 1], [2, 2], [3, 4], [6, 3], [12, 2]], 25499/34828517376], [[[1, 1], [2, 2], [3, 4], [6, 3], [15, 1]], 811/18139852800], [[[1, 1], [2, 2], [3, 4], [6, 3], [20, 1]], 811/12093235200], [[[1, 1], [2, 2], [3, 4], [6, 3], [24, 1]], 59131/14511882240], [[[1, 1], [2, 2], [3, 4], [6, 3], [30, 1]], 811/18139852800], [[[1, 1], [2, 2], [3, 4], [6, 4], [7, 1]], 81811/1354442342400], [[[1, 1], [2, 2], [3, 4], [6, 4], [9, 1]], 114251/1741425868800], [[[1, 1], [2, 2], [3, 4], [6, 4], [14, 1]], 81811/677221171200], [[[1, 1], [2, 2], [3, 4], [6, 4], [18, 1]], 114251/1306069401600], [[[1, 1], [2, 2], [3, 4], [6, 5], [8, 1]], 81811/2321901158400], [[[1, 1], [2, 2], [3, 4], [6, 5], [10, 1]], 81811/1451188224000], [[[1, 1], [2, 2], [3, 4], [6, 5], [12, 1]], 90911/1741425868800], [[[1, 1], [2, 2], [3, 4], [7, 1], [8, 2]], 1/1672151040], [[[1, 1], [2, 2], [3, 4], [7, 1], [10, 2]], 1/5225472000], [[[1, 1], [2, 2], [3, 4], [7, 1], [12, 2]], 271/2508226560], [[[1, 1], [2, 2], [3, 4], [7, 1], [15, 1]], 1/261273600], [[[1, 1], [2, 2], [3, 4], [7, 1], [20, 1]], 1/174182400], [[[1, 1], [2, 2], [3, 4], [7, 1], [24, 1]], 1/209018880], [[[1, 1], [2, 2], [3, 4], [7, 1], [30, 1]], 1/261273600], [[[1, 1], [2, 2], [3, 4], [8, 2], [9, 1]], 41/2149908480], [[[1, 1], [2, 2], [3, 4], [8, 2], [14, 1]], 1/836075520], [[[1, 1], [2, 2], [3, 4], [8, 2], [18, 1]], 1/1612431360], [[[1, 1], [2, 2], [3, 4], [9, 1], [10, 2]], 41/6718464000], [[[1, 1], [2, 2], [3, 4], [9, 1], [12, 2]], 2471/3224862720], [[[1, 1], [2, 2], [3, 4], [9, 1], [15, 1]], 41/335923200], [[[1, 1], [2, 2], [3, 4], [9, 1], [20, 1]], 41/223948800], [[[1, 1], [2, 2], [3, 4], [9, 1], [24, 1]], 41/268738560], [[[1, 1], [2, 2], [3, 4], [9, 1], [30, 1]], 41/335923200], [[[1, 1], [2, 2], [3, 4], [10, 2], [14, 1]], 1/2612736000], [[[1, 1], [2, 2], [3, 4], [10, 2], [18, 1]], 1/5038848000], [[[1, 1], [2, 2], [3, 4], [12, 2], [14, 1]], 271/1254113280], [[[1, 1], [2, 2], [3, 4], [12, 2], [18, 1]], 271/2418647040], [[[1, 1], [2, 2], [3, 4], [14, 1], [15, 1]], 1/130636800], [[[1, 1], [2, 2], [3, 4], [14, 1], [20, 1]], 1/87091200], [[[1, 1], [2, 2], [3, 4], [14, 1], [24, 1]], 1/104509440], [[[1, 1], [2, 2], [3, 4], [14, 1], [30, 1]], 1/130636800], [[[1, 1], [2, 2], [3, 4], [15, 1], [18, 1]], 1/251942400], [[[1, 1], [2, 2], [3, 4], [18, 1], [20, 1]], 1/167961600], [[[1, 1], [2, 2], [3, 4], [18, 1], [24, 1]], 1/201553920], [[[1, 1], [2, 2], [3, 4], [18, 1], [30, 1]], 1/251942400], [[[1, 1], [2, 2], [3, 5], [4, 1], [6, 5]], 276211/3482851737600], [[[1, 1], [2, 2], [3, 5], [4, 2], [12, 2]], 11/1074954240], [[[1, 1], [2, 2], [3, 5], [4, 3], [9, 1]], 1/12899450880], [[[1, 1], [2, 2], [3, 5], [4, 4], [5, 1]], 1/859963392000], [[[1, 1], [2, 2], [3, 5], [4, 4], [6, 2]], 11/4127824281600], [[[1, 1], [2, 2], [3, 5], [4, 4], [8, 1]], 1/687970713600], [[[1, 1], [2, 2], [3, 5], [4, 4], [12, 1]], 11/687970713600], [[[1, 1], [2, 2], [3, 5], [4, 5], [6, 1]], 1/1031956070400], [[[1, 1], [2, 2], [3, 5], [5, 1], [6, 4]], 81811/2902376448000], [[[1, 1], [2, 2], [3, 5], [5, 1], [8, 2]], 1/3583180800], [[[1, 1], [2, 2], [3, 5], [5, 1], [10, 2]], 1/11197440000], [[[1, 1], [2, 2], [3, 5], [5, 1], [12, 2]], 271/5374771200], [[[1, 1], [2, 2], [3, 5], [5, 1], [15, 1]], 1/559872000], [[[1, 1], [2, 2], [3, 5], [5, 1], [20, 1]], 1/373248000], [[[1, 1], [2, 2], [3, 5], [5, 1], [24, 1]], 1/447897600], [[[1, 1], [2, 2], [3, 5], [5, 1], [30, 1]], 1/559872000], [[[1, 1], [2, 2], [3, 5], [5, 2], [6, 2]], 11/53747712000], [[[1, 1], [2, 2], [3, 5], [5, 2], [8, 1]], 1/8957952000], [[[1, 1], [2, 2], [3, 5], [5, 2], [12, 1]], 11/8957952000], [[[1, 1], [2, 2], [3, 5], [6, 2], [8, 2]], 11/17199267840], [[[1, 1], [2, 2], [3, 5], [6, 2], [10, 2]], 11/53747712000], [[[1, 1], [2, 2], [3, 5], [6, 2], [12, 2]], 2327/25798901760], [[[1, 1], [2, 2], [3, 5], [6, 2], [15, 1]], 11/2687385600], [[[1, 1], [2, 2], [3, 5], [6, 2], [20, 1]], 11/1791590400], [[[1, 1], [2, 2], [3, 5], [6, 2], [24, 1]], 731/2149908480], [[[1, 1], [2, 2], [3, 5], [6, 2], [30, 1]], 11/2687385600], [[[1, 1], [2, 2], [3, 5], [6, 3], [9, 1]], 811/32651735040], [[[1, 1], [2, 2], [3, 5], [6, 3], [18, 1]], 11/4837294080], [[[1, 1], [2, 2], [3, 5], [6, 4], [8, 1]], 81811/2321901158400], [[[1, 1], [2, 2], [3, 5], [6, 4], [12, 1]], 90911/2321901158400], [[[1, 1], [2, 2], [3, 5], [7, 1], [9, 1]], 1/470292480], [[[1, 1], [2, 2], [3, 5], [8, 1], [10, 2]], 1/8957952000], [[[1, 1], [2, 2], [3, 5], [8, 1], [12, 2]], 271/4299816960], [[[1, 1], [2, 2], [3, 5], [8, 1], [15, 1]], 1/447897600], [[[1, 1], [2, 2], [3, 5], [8, 1], [20, 1]], 1/298598400], [[[1, 1], [2, 2], [3, 5], [8, 1], [24, 1]], 1/358318080], [[[1, 1], [2, 2], [3, 5], [8, 1], [30, 1]], 1/447897600], [[[1, 1], [2, 2], [3, 5], [8, 2], [12, 1]], 11/2866544640], [[[1, 1], [2, 2], [3, 5], [9, 1], [14, 1]], 1/235146240], [[[1, 1], [2, 2], [3, 5], [9, 1], [18, 1]], 1/453496320], [[[1, 1], [2, 2], [3, 5], [10, 2], [12, 1]], 11/8957952000], [[[1, 1], [2, 2], [3, 5], [12, 1], [15, 1]], 11/447897600], [[[1, 1], [2, 2], [3, 5], [12, 1], [20, 1]], 11/298598400], [[[1, 1], [2, 2], [3, 5], [12, 1], [24, 1]], 11/358318080], [[[1, 1], [2, 2], [3, 5], [12, 1], [30, 1]], 11/447897600], [[[1, 1], [2, 2], [3, 6], [4, 1], [12, 2]], 1/2149908480], [[[1, 1], [2, 2], [3, 6], [4, 2], [6, 3]], 1/309586821120], [[[1, 1], [2, 2], [3, 6], [4, 3], [6, 2]], 1/412782428160], [[[1, 1], [2, 2], [3, 6], [4, 3], [12, 1]], 1/68797071360], [[[1, 1], [2, 2], [3, 6], [4, 4], [6, 1]], 1/3095868211200], [[[1, 1], [2, 2], [3, 6], [5, 1], [9, 1]], 1/1007769600], [[[1, 1], [2, 2], [3, 6], [5, 2], [6, 1]], 1/40310784000], [[[1, 1], [2, 2], [3, 6], [6, 1], [8, 2]], 1/12899450880], [[[1, 1], [2, 2], [3, 6], [6, 1], [10, 2]], 1/40310784000], [[[1, 1], [2, 2], [3, 6], [6, 1], [12, 2]], 277/19349176320], [[[1, 1], [2, 2], [3, 6], [6, 1], [15, 1]], 1/2015539200], [[[1, 1], [2, 2], [3, 6], [6, 1], [20, 1]], 1/1343692800], [[[1, 1], [2, 2], [3, 6], [6, 1], [24, 1]], 1/1612431360], [[[1, 1], [2, 2], [3, 6], [6, 1], [30, 1]], 1/2015539200], [[[1, 1], [2, 2], [3, 6], [6, 2], [7, 1]], 1/15049359360], [[[1, 1], [2, 2], [3, 6], [6, 2], [9, 1]], 1/429981696], [[[1, 1], [2, 2], [3, 6], [6, 2], [14, 1]], 1/7524679680], [[[1, 1], [2, 2], [3, 6], [6, 2], [18, 1]], 1/2902376448], [[[1, 1], [2, 2], [3, 6], [6, 3], [8, 1]], 1/25798901760], [[[1, 1], [2, 2], [3, 6], [6, 3], [10, 1]], 1/16124313600], [[[1, 1], [2, 2], [3, 6], [6, 3], [12, 1]], 829/174142586880], [[[1, 1], [2, 2], [3, 6], [7, 1], [12, 1]], 1/2508226560], [[[1, 1], [2, 2], [3, 6], [8, 1], [9, 1]], 1/806215680], [[[1, 1], [2, 2], [3, 6], [9, 1], [12, 1]], 1/71663616], [[[1, 1], [2, 2], [3, 6], [12, 1], [14, 1]], 1/1254113280], [[[1, 1], [2, 2], [3, 6], [12, 1], [18, 1]], 1/2418647040], [[[1, 1], [2, 2], [3, 7], [4, 1], [6, 3]], 5/7739670528], [[[1, 1], [2, 2], [3, 7], [4, 2], [12, 1]], 1/58047528960], [[[1, 1], [2, 2], [3, 7], [5, 1], [6, 2]], 1/32248627200], [[[1, 1], [2, 2], [3, 7], [5, 1], [12, 1]], 1/5374771200], [[[1, 1], [2, 2], [3, 7], [6, 1], [9, 1]], 1/3627970560], [[[1, 1], [2, 2], [3, 7], [6, 1], [18, 1]], 1/43535646720], [[[1, 1], [2, 2], [3, 7], [6, 2], [8, 1]], 1/25798901760], [[[1, 1], [2, 2], [3, 7], [6, 2], [12, 1]], 109/232190115840], [[[1, 1], [2, 2], [3, 7], [8, 1], [12, 1]], 1/4299816960], [[[1, 1], [2, 2], [3, 8], [4, 1], [5, 1]], 1/3869835264000], [[[1, 1], [2, 2], [3, 8], [4, 1], [8, 1]], 11/12383472844800], [[[1, 1], [2, 2], [3, 8], [4, 1], [10, 1]], 1/3869835264000], [[[1, 1], [2, 2], [3, 8], [4, 1], [12, 1]], 1/2321901158400], [[[1, 1], [2, 2], [3, 8], [4, 2], [6, 1]], 1/55725627801600], [[[1, 1], [2, 2], [3, 8], [6, 1], [8, 1]], 1/4643802316800], [[[1, 1], [2, 2], [3, 8], [6, 1], [10, 1]], 1/2902376448000], [[[1, 1], [2, 2], [3, 8], [6, 1], [12, 1]], 181/3482851737600], [[[1, 1], [2, 2], [3, 9], [4, 1], [6, 1]], 1/6965703475200], [[[1, 1], [2, 2], [4, 1], [5, 1], [6, 8]], 1/3869835264000], [[[1, 1], [2, 2], [4, 1], [5, 1], [8, 4]], 1/3276800], [[[1, 1], [2, 2], [4, 1], [5, 1], [10, 4]], 1/57600000], [[[1, 1], [2, 2], [4, 1], [5, 1], [12, 4]], 23/199065600], [[[1, 1], [2, 2], [4, 1], [5, 1], [15, 2]], 1/144000], [[[1, 1], [2, 2], [4, 1], [5, 1], [16, 2]], 1/30720], [[[1, 1], [2, 2], [4, 1], [5, 1], [20, 2]], 1/38400], [[[1, 1], [2, 2], [4, 1], [5, 1], [24, 2]], 1/30720], [[[1, 1], [2, 2], [4, 1], [5, 1], [30, 2]], 1/144000], [[[1, 1], [2, 2], [4, 1], [5, 1], [40, 1]], 1/3200], [[[1, 1], [2, 2], [4, 1], [5, 1], [48, 1]], 1/3840], [[[1, 1], [2, 2], [4, 1], [5, 1], [60, 1]], 1/4800], [[[1, 1], [2, 2], [4, 1], [5, 2], [8, 3]], 3/3276800], [[[1, 1], [2, 2], [4, 1], [5, 2], [10, 3]], 301/28800000], [[[1, 1], [2, 2], [4, 1], [5, 2], [12, 3]], 7/24883200], [[[1, 1], [2, 2], [4, 1], [5, 2], [28, 1]], 1/67200], [[[1, 1], [2, 2], [4, 1], [5, 2], [36, 1]], 1/86400], [[[1, 1], [2, 2], [4, 1], [5, 3], [6, 4]], 1/7464960000], [[[1, 1], [2, 2], [4, 1], [5, 3], [8, 2]], 1/9216000], [[[1, 1], [2, 2], [4, 1], [5, 3], [10, 2]], 301/28800000], [[[1, 1], [2, 2], [4, 1], [5, 3], [12, 2]], 1/13824000], [[[1, 1], [2, 2], [4, 1], [5, 3], [15, 1]], 1/1440000], [[[1, 1], [2, 2], [4, 1], [5, 3], [20, 1]], 1/960000], [[[1, 1], [2, 2], [4, 1], [5, 3], [24, 1]], 1/1152000], [[[1, 1], [2, 2], [4, 1], [5, 3], [30, 1]], 1/1440000], [[[1, 1], [2, 2], [4, 1], [5, 4], [8, 1]], 11/184320000], [[[1, 1], [2, 2], [4, 1], [5, 4], [10, 1]], 1/57600000], [[[1, 1], [2, 2], [4, 1], [5, 4], [12, 1]], 1/34560000], [[[1, 1], [2, 2], [4, 1], [6, 2], [12, 4]], 7/11943936], [[[1, 1], [2, 2], [4, 1], [6, 4], [8, 3]], 1/283115520], [[[1, 1], [2, 2], [4, 1], [6, 4], [10, 3]], 1/7464960000], [[[1, 1], [2, 2], [4, 1], [6, 4], [12, 3]], 817/6449725440], [[[1, 1], [2, 2], [4, 1], [6, 4], [28, 1]], 1/17418240], [[[1, 1], [2, 2], [4, 1], [6, 4], [36, 1]], 1/22394880], [[[1, 1], [2, 2], [4, 1], [6, 6], [12, 2]], 1/2149908480], [[[1, 1], [2, 2], [4, 1], [6, 8], [8, 1]], 11/12383472844800], [[[1, 1], [2, 2], [4, 1], [6, 8], [10, 1]], 1/3869835264000], [[[1, 1], [2, 2], [4, 1], [6, 8], [12, 1]], 1/2321901158400], [[[1, 1], [2, 2], [4, 1], [8, 1], [10, 4]], 11/184320000], [[[1, 1], [2, 2], [4, 1], [8, 1], [12, 4]], 253/637009920], [[[1, 1], [2, 2], [4, 1], [8, 1], [15, 2]], 11/460800], [[[1, 1], [2, 2], [4, 1], [8, 1], [16, 2]], 11/98304], [[[1, 1], [2, 2], [4, 1], [8, 1], [20, 2]], 247/614400], [[[1, 1], [2, 2], [4, 1], [8, 1], [24, 2]], 161/294912], [[[1, 1], [2, 2], [4, 1], [8, 1], [30, 2]], 11/460800], [[[1, 1], [2, 2], [4, 1], [8, 1], [40, 1]], 11/10240], [[[1, 1], [2, 2], [4, 1], [8, 1], [48, 1]], 11/12288], [[[1, 1], [2, 2], [4, 1], [8, 1], [60, 1]], 11/15360], [[[1, 1], [2, 2], [4, 1], [8, 2], [10, 3]], 1/9216000], [[[1, 1], [2, 2], [4, 1], [8, 2], [12, 3]], 7/7962624], [[[1, 1], [2, 2], [4, 1], [8, 2], [28, 1]], 1/21504], [[[1, 1], [2, 2], [4, 1], [8, 2], [36, 1]], 1/27648], [[[1, 1], [2, 2], [4, 1], [8, 3], [10, 2]], 3/3276800], [[[1, 1], [2, 2], [4, 1], [8, 3], [12, 2]], 1/524288], [[[1, 1], [2, 2], [4, 1], [8, 3], [15, 1]], 3/163840], [[[1, 1], [2, 2], [4, 1], [8, 3], [16, 1]], 5/49152], [[[1, 1], [2, 2], [4, 1], [8, 3], [20, 1]], 59/983040], [[[1, 1], [2, 2], [4, 1], [8, 3], [24, 1]], 443/1179648], [[[1, 1], [2, 2], [4, 1], [8, 3], [30, 1]], 3/163840], [[[1, 1], [2, 2], [4, 1], [8, 4], [10, 1]], 1/3276800], [[[1, 1], [2, 2], [4, 1], [8, 4], [12, 1]], 1/1966080], [[[1, 1], [2, 2], [4, 1], [10, 1], [12, 4]], 23/199065600], [[[1, 1], [2, 2], [4, 1], [10, 1], [15, 2]], 1/144000], [[[1, 1], [2, 2], [4, 1], [10, 1], [16, 2]], 1/30720], [[[1, 1], [2, 2], [4, 1], [10, 1], [20, 2]], 1/38400], [[[1, 1], [2, 2], [4, 1], [10, 1], [24, 2]], 1/30720], [[[1, 1], [2, 2], [4, 1], [10, 1], [30, 2]], 1/144000], [[[1, 1], [2, 2], [4, 1], [10, 1], [40, 1]], 1/3200], [[[1, 1], [2, 2], [4, 1], [10, 1], [48, 1]], 1/3840], [[[1, 1], [2, 2], [4, 1], [10, 1], [60, 1]], 1/4800], [[[1, 1], [2, 2], [4, 1], [10, 2], [12, 3]], 7/24883200], [[[1, 1], [2, 2], [4, 1], [10, 2], [28, 1]], 1/67200], [[[1, 1], [2, 2], [4, 1], [10, 2], [36, 1]], 1/86400], [[[1, 1], [2, 2], [4, 1], [10, 3], [12, 2]], 1/13824000], [[[1, 1], [2, 2], [4, 1], [10, 3], [15, 1]], 1/1440000], [[[1, 1], [2, 2], [4, 1], [10, 3], [20, 1]], 1/960000], [[[1, 1], [2, 2], [4, 1], [10, 3], [24, 1]], 1/1152000], [[[1, 1], [2, 2], [4, 1], [10, 3], [30, 1]], 1/1440000], [[[1, 1], [2, 2], [4, 1], [10, 4], [12, 1]], 1/34560000], [[[1, 1], [2, 2], [4, 1], [12, 1], [15, 2]], 1/86400], [[[1, 1], [2, 2], [4, 1], [12, 1], [16, 2]], 1/18432], [[[1, 1], [2, 2], [4, 1], [12, 1], [20, 2]], 29/115200], [[[1, 1], [2, 2], [4, 1], [12, 1], [24, 2]], 5/18432], [[[1, 1], [2, 2], [4, 1], [12, 1], [30, 2]], 1/86400], [[[1, 1], [2, 2], [4, 1], [12, 1], [40, 1]], 1/1920], [[[1, 1], [2, 2], [4, 1], [12, 1], [48, 1]], 1/2304], [[[1, 1], [2, 2], [4, 1], [12, 1], [60, 1]], 1/2880], [[[1, 1], [2, 2], [4, 1], [12, 2], [28, 1]], 1/32256], [[[1, 1], [2, 2], [4, 1], [12, 2], [36, 1]], 1/4608], [[[1, 1], [2, 2], [4, 1], [12, 3], [15, 1]], 7/1244160], [[[1, 1], [2, 2], [4, 1], [12, 3], [16, 1]], 1/55296], [[[1, 1], [2, 2], [4, 1], [12, 3], [20, 1]], 19/829440], [[[1, 1], [2, 2], [4, 1], [12, 3], [24, 1]], 61/995328], [[[1, 1], [2, 2], [4, 1], [12, 3], [30, 1]], 7/1244160], [[[1, 1], [2, 2], [4, 1], [15, 1], [28, 1]], 1/3360], [[[1, 1], [2, 2], [4, 1], [15, 1], [36, 1]], 1/4320], [[[1, 1], [2, 2], [4, 1], [20, 1], [28, 1]], 1/2240], [[[1, 1], [2, 2], [4, 1], [20, 1], [36, 1]], 1/2880], [[[1, 1], [2, 2], [4, 1], [24, 1], [28, 1]], 1/2688], [[[1, 1], [2, 2], [4, 1], [24, 1], [36, 1]], 1/3456], [[[1, 1], [2, 2], [4, 1], [28, 1], [30, 1]], 1/3360], [[[1, 1], [2, 2], [4, 1], [30, 1], [36, 1]], 1/4320], [[[1, 1], [2, 2], [4, 2], [5, 2], [6, 5]], 1/107495424000], [[[1, 1], [2, 2], [4, 2], [5, 4], [6, 1]], 1/829440000], [[[1, 1], [2, 2], [4, 2], [6, 1], [8, 4]], 1/47185920], [[[1, 1], [2, 2], [4, 2], [6, 1], [10, 4]], 1/829440000], [[[1, 1], [2, 2], [4, 2], [6, 1], [12, 4]], 1501/955514880], [[[1, 1], [2, 2], [4, 2], [6, 1], [15, 2]], 1/2073600], [[[1, 1], [2, 2], [4, 2], [6, 1], [16, 2]], 1/442368], [[[1, 1], [2, 2], [4, 2], [6, 1], [20, 2]], 1/552960], [[[1, 1], [2, 2], [4, 2], [6, 1], [24, 2]], 1/442368], [[[1, 1], [2, 2], [4, 2], [6, 1], [30, 2]], 1/2073600], [[[1, 1], [2, 2], [4, 2], [6, 1], [40, 1]], 1/46080], [[[1, 1], [2, 2], [4, 2], [6, 1], [48, 1]], 1/55296], [[[1, 1], [2, 2], [4, 2], [6, 1], [60, 1]], 1/69120], [[[1, 1], [2, 2], [4, 2], [6, 3], [12, 3]], 5489/7739670528], [[[1, 1], [2, 2], [4, 2], [6, 3], [18, 2]], 1/6718464], [[[1, 1], [2, 2], [4, 2], [6, 3], [28, 1]], 1/217728], [[[1, 1], [2, 2], [4, 2], [6, 3], [36, 1]], 1/839808], [[[1, 1], [2, 2], [4, 2], [6, 5], [8, 2]], 1/34398535680], [[[1, 1], [2, 2], [4, 2], [6, 5], [10, 2]], 1/107495424000], [[[1, 1], [2, 2], [4, 2], [6, 5], [12, 2]], 65/3439853568], [[[1, 1], [2, 2], [4, 2], [6, 5], [15, 1]], 1/5374771200], [[[1, 1], [2, 2], [4, 2], [6, 5], [20, 1]], 1/3583180800], [[[1, 1], [2, 2], [4, 2], [6, 5], [24, 1]], 1/4299816960], [[[1, 1], [2, 2], [4, 2], [6, 5], [30, 1]], 1/5374771200], [[[1, 1], [2, 2], [4, 2], [6, 6], [18, 1]], 1/9674588160], [[[1, 1], [2, 2], [4, 2], [6, 7], [12, 1]], 59/1393140695040], [[[1, 1], [2, 2], [4, 2], [7, 1], [12, 3]], 1/497664], [[[1, 1], [2, 2], [4, 2], [7, 1], [28, 1]], 1/3136], [[[1, 1], [2, 2], [4, 2], [7, 1], [36, 1]], 1/12096], [[[1, 1], [2, 2], [4, 2], [9, 1], [12, 3]], 7/4478976], [[[1, 1], [2, 2], [4, 2], [9, 1], [28, 1]], 1/4032], [[[1, 1], [2, 2], [4, 2], [9, 1], [36, 1]], 1/15552], [[[1, 1], [2, 2], [4, 2], [12, 3], [14, 1]], 1/248832], [[[1, 1], [2, 2], [4, 2], [12, 3], [18, 1]], 7/3359232], [[[1, 1], [2, 2], [4, 2], [14, 1], [28, 1]], 1/1568], [[[1, 1], [2, 2], [4, 2], [14, 1], [36, 1]], 1/6048], [[[1, 1], [2, 2], [4, 2], [18, 1], [28, 1]], 1/3024], [[[1, 1], [2, 2], [4, 2], [18, 1], [36, 1]], 1/11664], [[[1, 1], [2, 2], [4, 3], [5, 1], [12, 3]], 7/4976640], [[[1, 1], [2, 2], [4, 3], [5, 1], [28, 1]], 1/4480], [[[1, 1], [2, 2], [4, 3], [5, 1], [36, 1]], 1/17280], [[[1, 1], [2, 2], [4, 3], [5, 2], [6, 4]], 1/143327232000], [[[1, 1], [2, 2], [4, 3], [5, 2], [8, 2]], 49/176947200], [[[1, 1], [2, 2], [4, 3], [5, 2], [10, 2]], 301/552960000], [[[1, 1], [2, 2], [4, 3], [5, 2], [12, 2]], 77/53084160], [[[1, 1], [2, 2], [4, 3], [5, 2], [15, 1]], 1/27648000], [[[1, 1], [2, 2], [4, 3], [5, 2], [16, 1]], 1/921600], [[[1, 1], [2, 2], [4, 3], [5, 2], [20, 1]], 13/3686400], [[[1, 1], [2, 2], [4, 3], [5, 2], [24, 1]], 1/22118400], [[[1, 1], [2, 2], [4, 3], [5, 2], [30, 1]], 1/27648000], [[[1, 1], [2, 2], [4, 3], [5, 3], [12, 1]], 1/3456000], [[[1, 1], [2, 2], [4, 3], [6, 2], [12, 3]], 385/127401984], [[[1, 1], [2, 2], [4, 3], [6, 2], [18, 2]], 1/8957952], [[[1, 1], [2, 2], [4, 3], [6, 4], [8, 2]], 49/45864714240], [[[1, 1], [2, 2], [4, 3], [6, 4], [10, 2]], 1/143327232000], [[[1, 1], [2, 2], [4, 3], [6, 4], [12, 2]], 131/13759414272], [[[1, 1], [2, 2], [4, 3], [6, 4], [15, 1]], 1/7166361600], [[[1, 1], [2, 2], [4, 3], [6, 4], [16, 1]], 1/238878720], [[[1, 1], [2, 2], [4, 3], [6, 4], [20, 1]], 13/955514880], [[[1, 1], [2, 2], [4, 3], [6, 4], [24, 1]], 1/5733089280], [[[1, 1], [2, 2], [4, 3], [6, 4], [30, 1]], 1/7166361600], [[[1, 1], [2, 2], [4, 3], [6, 5], [18, 1]], 1/12899450880], [[[1, 1], [2, 2], [4, 3], [6, 6], [12, 1]], 1/68797071360], [[[1, 1], [2, 2], [4, 3], [8, 1], [12, 3]], 149/15925248], [[[1, 1], [2, 2], [4, 3], [8, 1], [28, 1]], 11/14336], [[[1, 1], [2, 2], [4, 3], [8, 1], [36, 1]], 11/55296], [[[1, 1], [2, 2], [4, 3], [8, 2], [10, 2]], 49/176947200], [[[1, 1], [2, 2], [4, 3], [8, 2], [12, 2]], 1969/84934656], [[[1, 1], [2, 2], [4, 3], [8, 2], [15, 1]], 49/8847360], [[[1, 1], [2, 2], [4, 3], [8, 2], [16, 1]], 101/589824], [[[1, 1], [2, 2], [4, 3], [8, 2], [20, 1]], 113/5898240], [[[1, 1], [2, 2], [4, 3], [8, 2], [24, 1]], 3/262144], [[[1, 1], [2, 2], [4, 3], [8, 2], [30, 1]], 49/8847360], [[[1, 1], [2, 2], [4, 3], [8, 3], [12, 1]], 61/1179648], [[[1, 1], [2, 2], [4, 3], [10, 1], [12, 3]], 7/4976640], [[[1, 1], [2, 2], [4, 3], [10, 1], [28, 1]], 1/4480], [[[1, 1], [2, 2], [4, 3], [10, 1], [36, 1]], 1/17280], [[[1, 1], [2, 2], [4, 3], [10, 2], [12, 2]], 77/53084160], [[[1, 1], [2, 2], [4, 3], [10, 2], [15, 1]], 1/27648000], [[[1, 1], [2, 2], [4, 3], [10, 2], [16, 1]], 1/921600], [[[1, 1], [2, 2], [4, 3], [10, 2], [20, 1]], 13/3686400], [[[1, 1], [2, 2], [4, 3], [10, 2], [24, 1]], 1/22118400], [[[1, 1], [2, 2], [4, 3], [10, 2], [30, 1]], 1/27648000], [[[1, 1], [2, 2], [4, 3], [10, 3], [12, 1]], 1/3456000], [[[1, 1], [2, 2], [4, 3], [12, 1], [28, 1]], 1/2016], [[[1, 1], [2, 2], [4, 3], [12, 1], [36, 1]], 11/55296], [[[1, 1], [2, 2], [4, 3], [12, 2], [15, 1]], 77/2654208], [[[1, 1], [2, 2], [4, 3], [12, 2], [16, 1]], 11/147456], [[[1, 1], [2, 2], [4, 3], [12, 2], [20, 1]], 2497/8847360], [[[1, 1], [2, 2], [4, 3], [12, 2], [24, 1]], 1933/10616832], [[[1, 1], [2, 2], [4, 3], [12, 2], [30, 1]], 77/2654208], [[[1, 1], [2, 2], [4, 3], [15, 1], [16, 1]], 1/46080], [[[1, 1], [2, 2], [4, 3], [15, 1], [20, 1]], 13/184320], [[[1, 1], [2, 2], [4, 3], [15, 1], [24, 1]], 1/1105920], [[[1, 1], [2, 2], [4, 3], [15, 1], [30, 1]], 1/86400], [[[1, 1], [2, 2], [4, 3], [16, 1], [20, 1]], 1/30720], [[[1, 1], [2, 2], [4, 3], [16, 1], [24, 1]], 1/36864], [[[1, 1], [2, 2], [4, 3], [16, 1], [30, 1]], 1/46080], [[[1, 1], [2, 2], [4, 3], [20, 1], [24, 1]], 13/147456], [[[1, 1], [2, 2], [4, 3], [20, 1], [30, 1]], 13/184320], [[[1, 1], [2, 2], [4, 3], [24, 1], [30, 1]], 1/1105920], [[[1, 1], [2, 2], [4, 4], [5, 2], [6, 3]], 1/107495424000], [[[1, 1], [2, 2], [4, 4], [5, 2], [7, 1]], 1/1548288000], [[[1, 1], [2, 2], [4, 4], [5, 2], [9, 1]], 1/1990656000], [[[1, 1], [2, 2], [4, 4], [5, 2], [14, 1]], 1/774144000], [[[1, 1], [2, 2], [4, 4], [5, 2], [18, 1]], 1/1492992000], [[[1, 1], [2, 2], [4, 4], [6, 1], [8, 3]], 241/849346560], [[[1, 1], [2, 2], [4, 4], [6, 1], [10, 3]], 1/1658880000], [[[1, 1], [2, 2], [4, 4], [6, 1], [12, 3]], 11803/2866544640], [[[1, 1], [2, 2], [4, 4], [6, 1], [18, 2]], 1/134369280], [[[1, 1], [2, 2], [4, 4], [6, 1], [28, 1]], 1/64512], [[[1, 1], [2, 2], [4, 4], [6, 1], [36, 1]], 1/248832], [[[1, 1], [2, 2], [4, 4], [6, 3], [8, 2]], 241/34398535680], [[[1, 1], [2, 2], [4, 4], [6, 3], [10, 2]], 1/107495424000], [[[1, 1], [2, 2], [4, 4], [6, 3], [12, 2]], 1211/10319560704], [[[1, 1], [2, 2], [4, 4], [6, 3], [15, 1]], 1/5374771200], [[[1, 1], [2, 2], [4, 4], [6, 3], [20, 1]], 77/716636160], [[[1, 1], [2, 2], [4, 4], [6, 3], [24, 1]], 1/4299816960], [[[1, 1], [2, 2], [4, 4], [6, 3], [30, 1]], 1/5374771200], [[[1, 1], [2, 2], [4, 4], [6, 4], [7, 1]], 1/401316249600], [[[1, 1], [2, 2], [4, 4], [6, 4], [9, 1]], 1/515978035200], [[[1, 1], [2, 2], [4, 4], [6, 4], [14, 1]], 1/200658124800], [[[1, 1], [2, 2], [4, 4], [6, 4], [18, 1]], 41/386983526400], [[[1, 1], [2, 2], [4, 4], [6, 5], [8, 1]], 1/687970713600], [[[1, 1], [2, 2], [4, 4], [6, 5], [10, 1]], 1/429981696000], [[[1, 1], [2, 2], [4, 4], [6, 5], [12, 1]], 17/171992678400], [[[1, 1], [2, 2], [4, 4], [7, 1], [8, 2]], 241/495452160], [[[1, 1], [2, 2], [4, 4], [7, 1], [10, 2]], 1/1548288000], [[[1, 1], [2, 2], [4, 4], [7, 1], [12, 2]], 3841/743178240], [[[1, 1], [2, 2], [4, 4], [7, 1], [15, 1]], 1/77414400], [[[1, 1], [2, 2], [4, 4], [7, 1], [20, 1]], 11/1474560], [[[1, 1], [2, 2], [4, 4], [7, 1], [24, 1]], 1/61931520], [[[1, 1], [2, 2], [4, 4], [7, 1], [30, 1]], 1/77414400], [[[1, 1], [2, 2], [4, 4], [8, 2], [9, 1]], 241/637009920], [[[1, 1], [2, 2], [4, 4], [8, 2], [14, 1]], 241/247726080], [[[1, 1], [2, 2], [4, 4], [8, 2], [18, 1]], 241/477757440], [[[1, 1], [2, 2], [4, 4], [9, 1], [10, 2]], 1/1990656000], [[[1, 1], [2, 2], [4, 4], [9, 1], [12, 2]], 3841/955514880], [[[1, 1], [2, 2], [4, 4], [9, 1], [15, 1]], 1/99532800], [[[1, 1], [2, 2], [4, 4], [9, 1], [20, 1]], 77/13271040], [[[1, 1], [2, 2], [4, 4], [9, 1], [24, 1]], 1/79626240], [[[1, 1], [2, 2], [4, 4], [9, 1], [30, 1]], 1/99532800], [[[1, 1], [2, 2], [4, 4], [10, 2], [14, 1]], 1/774144000], [[[1, 1], [2, 2], [4, 4], [10, 2], [18, 1]], 1/1492992000], [[[1, 1], [2, 2], [4, 4], [12, 2], [14, 1]], 3841/371589120], [[[1, 1], [2, 2], [4, 4], [12, 2], [18, 1]], 3841/716636160], [[[1, 1], [2, 2], [4, 4], [14, 1], [15, 1]], 1/38707200], [[[1, 1], [2, 2], [4, 4], [14, 1], [20, 1]], 11/737280], [[[1, 1], [2, 2], [4, 4], [14, 1], [24, 1]], 1/30965760], [[[1, 1], [2, 2], [4, 4], [14, 1], [30, 1]], 1/38707200], [[[1, 1], [2, 2], [4, 4], [15, 1], [18, 1]], 1/74649600], [[[1, 1], [2, 2], [4, 4], [18, 1], [20, 1]], 77/9953280], [[[1, 1], [2, 2], [4, 4], [18, 1], [24, 1]], 1/59719680], [[[1, 1], [2, 2], [4, 4], [18, 1], [30, 1]], 1/74649600], [[[1, 1], [2, 2], [4, 5], [5, 1], [6, 4]], 1/573308928000], [[[1, 1], [2, 2], [4, 5], [5, 1], [8, 2]], 241/707788800], [[[1, 1], [2, 2], [4, 5], [5, 1], [10, 2]], 1/2211840000], [[[1, 1], [2, 2], [4, 5], [5, 1], [12, 2]], 3841/1061683200], [[[1, 1], [2, 2], [4, 5], [5, 1], [15, 1]], 1/110592000], [[[1, 1], [2, 2], [4, 5], [5, 1], [20, 1]], 77/14745600], [[[1, 1], [2, 2], [4, 5], [5, 1], [24, 1]], 1/88473600], [[[1, 1], [2, 2], [4, 5], [5, 1], [30, 1]], 1/110592000], [[[1, 1], [2, 2], [4, 5], [5, 2], [8, 1]], 203/7077888000], [[[1, 1], [2, 2], [4, 5], [5, 2], [10, 1]], 1/2211840000], [[[1, 1], [2, 2], [4, 5], [5, 2], [12, 1]], 17/265420800], [[[1, 1], [2, 2], [4, 5], [6, 2], [12, 2]], 17/127401984], [[[1, 1], [2, 2], [4, 5], [6, 4], [8, 1]], 203/1834588569600], [[[1, 1], [2, 2], [4, 5], [6, 4], [10, 1]], 1/573308928000], [[[1, 1], [2, 2], [4, 5], [6, 4], [12, 1]], 17/68797071360], [[[1, 1], [2, 2], [4, 5], [7, 1], [14, 1]], 1/5160960], [[[1, 1], [2, 2], [4, 5], [8, 1], [10, 2]], 203/7077888000], [[[1, 1], [2, 2], [4, 5], [8, 1], [12, 2]], 103883/3397386240], [[[1, 1], [2, 2], [4, 5], [8, 1], [15, 1]], 203/353894400], [[[1, 1], [2, 2], [4, 5], [8, 1], [16, 1]], 7/2359296], [[[1, 1], [2, 2], [4, 5], [8, 1], [20, 1]], 4459/235929600], [[[1, 1], [2, 2], [4, 5], [8, 1], [24, 1]], 89/94371840], [[[1, 1], [2, 2], [4, 5], [8, 1], [30, 1]], 203/353894400], [[[1, 1], [2, 2], [4, 5], [8, 2], [10, 1]], 241/707788800], [[[1, 1], [2, 2], [4, 5], [8, 2], [12, 1]], 305/84934656], [[[1, 1], [2, 2], [4, 5], [9, 1], [18, 1]], 1/6635520], [[[1, 1], [2, 2], [4, 5], [10, 1], [12, 2]], 3841/1061683200], [[[1, 1], [2, 2], [4, 5], [10, 1], [15, 1]], 1/110592000], [[[1, 1], [2, 2], [4, 5], [10, 1], [20, 1]], 77/14745600], [[[1, 1], [2, 2], [4, 5], [10, 1], [24, 1]], 1/88473600], [[[1, 1], [2, 2], [4, 5], [10, 1], [30, 1]], 1/110592000], [[[1, 1], [2, 2], [4, 5], [10, 2], [12, 1]], 17/265420800], [[[1, 1], [2, 2], [4, 5], [12, 1], [15, 1]], 17/13271040], [[[1, 1], [2, 2], [4, 5], [12, 1], [16, 1]], 3/327680], [[[1, 1], [2, 2], [4, 5], [12, 1], [20, 1]], 1993/44236800], [[[1, 1], [2, 2], [4, 5], [12, 1], [24, 1]], 211/53084160], [[[1, 1], [2, 2], [4, 5], [12, 1], [30, 1]], 17/13271040], [[[1, 1], [2, 2], [4, 6], [5, 2], [6, 1]], 1/31850496000], [[[1, 1], [2, 2], [4, 6], [6, 1], [8, 2]], 241/10192158720], [[[1, 1], [2, 2], [4, 6], [6, 1], [10, 2]], 1/31850496000], [[[1, 1], [2, 2], [4, 6], [6, 1], [12, 2]], 12739/45864714240], [[[1, 1], [2, 2], [4, 6], [6, 1], [15, 1]], 1/1592524800], [[[1, 1], [2, 2], [4, 6], [6, 1], [20, 1]], 77/212336640], [[[1, 1], [2, 2], [4, 6], [6, 1], [24, 1]], 1/1274019840], [[[1, 1], [2, 2], [4, 6], [6, 1], [30, 1]], 1/1592524800], [[[1, 1], [2, 2], [4, 6], [6, 2], [18, 1]], 1/2866544640], [[[1, 1], [2, 2], [4, 6], [6, 3], [12, 1]], 689/1238347284480], [[[1, 1], [2, 2], [4, 6], [7, 1], [12, 1]], 19/557383680], [[[1, 1], [2, 2], [4, 6], [9, 1], [12, 1]], 19/716636160], [[[1, 1], [2, 2], [4, 6], [12, 1], [14, 1]], 19/278691840], [[[1, 1], [2, 2], [4, 6], [12, 1], [18, 1]], 19/537477120], [[[1, 1], [2, 2], [4, 7], [5, 1], [12, 1]], 19/796262400], [[[1, 1], [2, 2], [4, 7], [6, 1], [18, 1]], 17/16052649984], [[[1, 1], [2, 2], [4, 7], [6, 2], [12, 1]], 17/85614133248], [[[1, 1], [2, 2], [4, 7], [8, 1], [12, 1]], 857/2548039680], [[[1, 1], [2, 2], [4, 7], [10, 1], [12, 1]], 19/796262400], [[[1, 1], [2, 2], [4, 8], [6, 1], [8, 1]], 17/1712282664960], [[[1, 1], [2, 2], [4, 8], [6, 1], [10, 1]], 17/1070176665600], [[[1, 1], [2, 2], [4, 8], [6, 1], [12, 1]], 143/85614133248], [[[1, 1], [2, 2], [5, 2], [6, 1], [8, 3]], 1/11059200], [[[1, 1], [2, 2], [5, 2], [6, 1], [10, 3]], 301/21600000], [[[1, 1], [2, 2], [5, 2], [6, 1], [12, 3]], 1/12441600], [[[1, 1], [2, 2], [5, 2], [6, 1], [18, 2]], 1/1749600], [[[1, 1], [2, 2], [5, 2], [6, 3], [8, 2]], 1/447897600], [[[1, 1], [2, 2], [5, 2], [6, 3], [10, 2]], 301/1399680000], [[[1, 1], [2, 2], [5, 2], [6, 3], [12, 2]], 11/134369280], [[[1, 1], [2, 2], [5, 2], [6, 3], [15, 1]], 1/69984000], [[[1, 1], [2, 2], [5, 2], [6, 3], [20, 1]], 1/46656000], [[[1, 1], [2, 2], [5, 2], [6, 3], [24, 1]], 1/55987200], [[[1, 1], [2, 2], [5, 2], [6, 3], [30, 1]], 1/69984000], [[[1, 1], [2, 2], [5, 2], [6, 4], [7, 1]], 1/5225472000], [[[1, 1], [2, 2], [5, 2], [6, 4], [9, 1]], 1/6718464000], [[[1, 1], [2, 2], [5, 2], [6, 4], [14, 1]], 1/2612736000], [[[1, 1], [2, 2], [5, 2], [6, 4], [18, 1]], 41/5038848000], [[[1, 1], [2, 2], [5, 2], [6, 5], [8, 1]], 1/8957952000], [[[1, 1], [2, 2], [5, 2], [6, 5], [10, 1]], 1/5598720000], [[[1, 1], [2, 2], [5, 2], [6, 5], [12, 1]], 11/6718464000], [[[1, 1], [2, 2], [5, 2], [7, 1], [8, 2]], 1/6451200], [[[1, 1], [2, 2], [5, 2], [7, 1], [10, 2]], 43/2880000], [[[1, 1], [2, 2], [5, 2], [7, 1], [12, 2]], 1/9676800], [[[1, 1], [2, 2], [5, 2], [7, 1], [15, 1]], 1/1008000], [[[1, 1], [2, 2], [5, 2], [7, 1], [20, 1]], 1/672000], [[[1, 1], [2, 2], [5, 2], [7, 1], [24, 1]], 1/806400], [[[1, 1], [2, 2], [5, 2], [7, 1], [30, 1]], 1/1008000], [[[1, 1], [2, 2], [5, 2], [8, 2], [9, 1]], 1/8294400], [[[1, 1], [2, 2], [5, 2], [8, 2], [14, 1]], 1/3225600], [[[1, 1], [2, 2], [5, 2], [8, 2], [18, 1]], 1/6220800], [[[1, 1], [2, 2], [5, 2], [9, 1], [10, 2]], 301/25920000], [[[1, 1], [2, 2], [5, 2], [9, 1], [12, 2]], 1/12441600], [[[1, 1], [2, 2], [5, 2], [9, 1], [15, 1]], 1/1296000], [[[1, 1], [2, 2], [5, 2], [9, 1], [20, 1]], 1/864000], [[[1, 1], [2, 2], [5, 2], [9, 1], [24, 1]], 1/1036800], [[[1, 1], [2, 2], [5, 2], [9, 1], [30, 1]], 1/1296000], [[[1, 1], [2, 2], [5, 2], [10, 2], [14, 1]], 43/1440000], [[[1, 1], [2, 2], [5, 2], [10, 2], [18, 1]], 301/19440000], [[[1, 1], [2, 2], [5, 2], [12, 2], [14, 1]], 1/4838400], [[[1, 1], [2, 2], [5, 2], [12, 2], [18, 1]], 1/9331200], [[[1, 1], [2, 2], [5, 2], [14, 1], [15, 1]], 1/504000], [[[1, 1], [2, 2], [5, 2], [14, 1], [20, 1]], 1/336000], [[[1, 1], [2, 2], [5, 2], [14, 1], [24, 1]], 1/403200], [[[1, 1], [2, 2], [5, 2], [14, 1], [30, 1]], 1/504000], [[[1, 1], [2, 2], [5, 2], [15, 1], [18, 1]], 1/972000], [[[1, 1], [2, 2], [5, 2], [18, 1], [20, 1]], 1/648000], [[[1, 1], [2, 2], [5, 2], [18, 1], [24, 1]], 1/777600], [[[1, 1], [2, 2], [5, 2], [18, 1], [30, 1]], 1/972000], [[[1, 1], [2, 2], [5, 4], [6, 1], [8, 1]], 1/69120000], [[[1, 1], [2, 2], [5, 4], [6, 1], [10, 1]], 1/43200000], [[[1, 1], [2, 2], [5, 4], [6, 1], [12, 1]], 1/51840000], [[[1, 1], [2, 2], [6, 1], [8, 1], [10, 4]], 1/69120000], [[[1, 1], [2, 2], [6, 1], [8, 1], [12, 4]], 23/238878720], [[[1, 1], [2, 2], [6, 1], [8, 1], [15, 2]], 1/172800], [[[1, 1], [2, 2], [6, 1], [8, 1], [16, 2]], 1/36864], [[[1, 1], [2, 2], [6, 1], [8, 1], [20, 2]], 1/46080], [[[1, 1], [2, 2], [6, 1], [8, 1], [24, 2]], 1/36864], [[[1, 1], [2, 2], [6, 1], [8, 1], [30, 2]], 1/172800], [[[1, 1], [2, 2], [6, 1], [8, 1], [40, 1]], 1/3840], [[[1, 1], [2, 2], [6, 1], [8, 1], [48, 1]], 1/4608], [[[1, 1], [2, 2], [6, 1], [8, 1], [60, 1]], 1/5760], [[[1, 1], [2, 2], [6, 1], [8, 2], [10, 3]], 1/6912000], [[[1, 1], [2, 2], [6, 1], [8, 2], [12, 3]], 1/3981312], [[[1, 1], [2, 2], [6, 1], [8, 2], [18, 2]], 1/559872], [[[1, 1], [2, 2], [6, 1], [8, 3], [10, 2]], 1/11059200], [[[1, 1], [2, 2], [6, 1], [8, 3], [12, 2]], 1/5308416], [[[1, 1], [2, 2], [6, 1], [8, 3], [15, 1]], 1/552960], [[[1, 1], [2, 2], [6, 1], [8, 3], [20, 1]], 1/368640], [[[1, 1], [2, 2], [6, 1], [8, 3], [24, 1]], 11/147456], [[[1, 1], [2, 2], [6, 1], [8, 3], [30, 1]], 1/552960], [[[1, 1], [2, 2], [6, 1], [8, 4], [10, 1]], 1/2457600], [[[1, 1], [2, 2], [6, 1], [8, 4], [12, 1]], 1/2949120], [[[1, 1], [2, 2], [6, 1], [10, 1], [12, 4]], 23/149299200], [[[1, 1], [2, 2], [6, 1], [10, 1], [15, 2]], 1/108000], [[[1, 1], [2, 2], [6, 1], [10, 1], [16, 2]], 1/23040], [[[1, 1], [2, 2], [6, 1], [10, 1], [20, 2]], 1/28800], [[[1, 1], [2, 2], [6, 1], [10, 1], [24, 2]], 1/23040], [[[1, 1], [2, 2], [6, 1], [10, 1], [30, 2]], 1/108000], [[[1, 1], [2, 2], [6, 1], [10, 1], [40, 1]], 1/2400], [[[1, 1], [2, 2], [6, 1], [10, 1], [48, 1]], 1/2880], [[[1, 1], [2, 2], [6, 1], [10, 1], [60, 1]], 1/3600], [[[1, 1], [2, 2], [6, 1], [10, 2], [12, 3]], 1/12441600], [[[1, 1], [2, 2], [6, 1], [10, 2], [18, 2]], 1/1749600], [[[1, 1], [2, 2], [6, 1], [10, 3], [12, 2]], 1/10368000], [[[1, 1], [2, 2], [6, 1], [10, 3], [15, 1]], 1/1080000], [[[1, 1], [2, 2], [6, 1], [10, 3], [20, 1]], 1/720000], [[[1, 1], [2, 2], [6, 1], [10, 3], [24, 1]], 1/864000], [[[1, 1], [2, 2], [6, 1], [10, 3], [30, 1]], 1/1080000], [[[1, 1], [2, 2], [6, 1], [10, 4], [12, 1]], 1/51840000], [[[1, 1], [2, 2], [6, 1], [12, 1], [15, 2]], 1/129600], [[[1, 1], [2, 2], [6, 1], [12, 1], [16, 2]], 1/27648], [[[1, 1], [2, 2], [6, 1], [12, 1], [20, 2]], 1/34560], [[[1, 1], [2, 2], [6, 1], [12, 1], [24, 2]], 1/27648], [[[1, 1], [2, 2], [6, 1], [12, 1], [30, 2]], 1/129600], [[[1, 1], [2, 2], [6, 1], [12, 1], [40, 1]], 1/2880], [[[1, 1], [2, 2], [6, 1], [12, 1], [48, 1]], 1/3456], [[[1, 1], [2, 2], [6, 1], [12, 1], [60, 1]], 1/4320], [[[1, 1], [2, 2], [6, 1], [12, 2], [18, 2]], 1/839808], [[[1, 1], [2, 2], [6, 1], [12, 2], [36, 1]], 1/7776], [[[1, 1], [2, 2], [6, 1], [12, 3], [15, 1]], 1/622080], [[[1, 1], [2, 2], [6, 1], [12, 3], [20, 1]], 1/414720], [[[1, 1], [2, 2], [6, 1], [12, 3], [24, 1]], 13/497664], [[[1, 1], [2, 2], [6, 1], [12, 3], [30, 1]], 1/622080], [[[1, 1], [2, 2], [6, 1], [15, 1], [18, 2]], 1/87480], [[[1, 1], [2, 2], [6, 1], [18, 2], [20, 1]], 1/58320], [[[1, 1], [2, 2], [6, 1], [18, 2], [24, 1]], 1/69984], [[[1, 1], [2, 2], [6, 1], [18, 2], [30, 1]], 1/87480], [[[1, 1], [2, 2], [6, 2], [7, 1], [12, 3]], 1/4644864], [[[1, 1], [2, 2], [6, 2], [7, 1], [18, 2]], 1/326592], [[[1, 1], [2, 2], [6, 2], [8, 3], [18, 1]], 1/995328], [[[1, 1], [2, 2], [6, 2], [9, 1], [12, 3]], 1/5971968], [[[1, 1], [2, 2], [6, 2], [9, 1], [18, 2]], 1/419904], [[[1, 1], [2, 2], [6, 2], [9, 2], [18, 1]], 1/5184], [[[1, 1], [2, 2], [6, 2], [10, 3], [18, 1]], 1/1944000], [[[1, 1], [2, 2], [6, 2], [12, 3], [14, 1]], 1/2322432], [[[1, 1], [2, 2], [6, 2], [12, 3], [18, 1]], 5/4478976], [[[1, 1], [2, 2], [6, 2], [14, 1], [18, 2]], 1/163296], [[[1, 1], [2, 2], [6, 2], [14, 1], [42, 1]], 1/168], [[[1, 1], [2, 2], [6, 2], [18, 1], [36, 1]], 1/864], [[[1, 1], [2, 2], [6, 3], [8, 1], [12, 3]], 1/7962624], [[[1, 1], [2, 2], [6, 3], [8, 1], [18, 2]], 1/559872], [[[1, 1], [2, 2], [6, 3], [8, 2], [10, 2]], 1/447897600], [[[1, 1], [2, 2], [6, 3], [8, 2], [12, 2]], 55/214990848], [[[1, 1], [2, 2], [6, 3], [8, 2], [15, 1]], 1/22394880], [[[1, 1], [2, 2], [6, 3], [8, 2], [20, 1]], 1/14929920], [[[1, 1], [2, 2], [6, 3], [8, 2], [24, 1]], 11/5971968], [[[1, 1], [2, 2], [6, 3], [8, 2], [30, 1]], 1/22394880], [[[1, 1], [2, 2], [6, 3], [8, 3], [12, 1]], 1/5308416], [[[1, 1], [2, 2], [6, 3], [10, 1], [12, 3]], 1/4976640], [[[1, 1], [2, 2], [6, 3], [10, 1], [18, 2]], 1/349920], [[[1, 1], [2, 2], [6, 3], [10, 2], [12, 2]], 11/134369280], [[[1, 1], [2, 2], [6, 3], [10, 2], [15, 1]], 1/69984000], [[[1, 1], [2, 2], [6, 3], [10, 2], [20, 1]], 1/46656000], [[[1, 1], [2, 2], [6, 3], [10, 2], [24, 1]], 1/55987200], [[[1, 1], [2, 2], [6, 3], [10, 2], [30, 1]], 1/69984000], [[[1, 1], [2, 2], [6, 3], [10, 3], [12, 1]], 1/10368000], [[[1, 1], [2, 2], [6, 3], [12, 1], [18, 2]], 1/279936], [[[1, 1], [2, 2], [6, 3], [12, 1], [36, 1]], 1/419904], [[[1, 1], [2, 2], [6, 3], [12, 2], [15, 1]], 11/6718464], [[[1, 1], [2, 2], [6, 3], [12, 2], [20, 1]], 11/4478976], [[[1, 1], [2, 2], [6, 3], [12, 2], [24, 1]], 67/26873856], [[[1, 1], [2, 2], [6, 3], [12, 2], [30, 1]], 11/6718464], [[[1, 1], [2, 2], [6, 3], [15, 1], [20, 1]], 1/2332800], [[[1, 1], [2, 2], [6, 3], [15, 1], [24, 1]], 1/2799360], [[[1, 1], [2, 2], [6, 3], [15, 1], [30, 1]], 1/218700], [[[1, 1], [2, 2], [6, 3], [20, 1], [24, 1]], 1/1866240], [[[1, 1], [2, 2], [6, 3], [20, 1], [30, 1]], 1/2332800], [[[1, 1], [2, 2], [6, 3], [24, 1], [30, 1]], 1/2799360], [[[1, 1], [2, 2], [6, 4], [7, 1], [8, 2]], 1/1672151040], [[[1, 1], [2, 2], [6, 4], [7, 1], [10, 2]], 1/5225472000], [[[1, 1], [2, 2], [6, 4], [7, 1], [12, 2]], 271/2508226560], [[[1, 1], [2, 2], [6, 4], [7, 1], [15, 1]], 1/261273600], [[[1, 1], [2, 2], [6, 4], [7, 1], [20, 1]], 1/174182400], [[[1, 1], [2, 2], [6, 4], [7, 1], [24, 1]], 1/209018880], [[[1, 1], [2, 2], [6, 4], [7, 1], [30, 1]], 1/261273600], [[[1, 1], [2, 2], [6, 4], [8, 2], [9, 1]], 1/2149908480], [[[1, 1], [2, 2], [6, 4], [8, 2], [14, 1]], 1/836075520], [[[1, 1], [2, 2], [6, 4], [8, 2], [18, 1]], 41/1612431360], [[[1, 1], [2, 2], [6, 4], [9, 1], [10, 2]], 1/6718464000], [[[1, 1], [2, 2], [6, 4], [9, 1], [12, 2]], 271/3224862720], [[[1, 1], [2, 2], [6, 4], [9, 1], [15, 1]], 1/335923200], [[[1, 1], [2, 2], [6, 4], [9, 1], [20, 1]], 1/223948800], [[[1, 1], [2, 2], [6, 4], [9, 1], [24, 1]], 1/268738560], [[[1, 1], [2, 2], [6, 4], [9, 1], [30, 1]], 1/335923200], [[[1, 1], [2, 2], [6, 4], [10, 2], [14, 1]], 1/2612736000], [[[1, 1], [2, 2], [6, 4], [10, 2], [18, 1]], 41/5038848000], [[[1, 1], [2, 2], [6, 4], [12, 2], [14, 1]], 271/1254113280], [[[1, 1], [2, 2], [6, 4], [12, 2], [18, 1]], 2471/2418647040], [[[1, 1], [2, 2], [6, 4], [14, 1], [15, 1]], 1/130636800], [[[1, 1], [2, 2], [6, 4], [14, 1], [20, 1]], 1/87091200], [[[1, 1], [2, 2], [6, 4], [14, 1], [24, 1]], 1/104509440], [[[1, 1], [2, 2], [6, 4], [14, 1], [30, 1]], 1/130636800], [[[1, 1], [2, 2], [6, 4], [15, 1], [18, 1]], 41/251942400], [[[1, 1], [2, 2], [6, 4], [18, 1], [20, 1]], 41/167961600], [[[1, 1], [2, 2], [6, 4], [18, 1], [24, 1]], 41/201553920], [[[1, 1], [2, 2], [6, 4], [18, 1], [30, 1]], 41/251942400], [[[1, 1], [2, 2], [6, 5], [7, 1], [18, 1]], 1/470292480], [[[1, 1], [2, 2], [6, 5], [8, 1], [10, 2]], 1/8957952000], [[[1, 1], [2, 2], [6, 5], [8, 1], [12, 2]], 271/4299816960], [[[1, 1], [2, 2], [6, 5], [8, 1], [15, 1]], 1/447897600], [[[1, 1], [2, 2], [6, 5], [8, 1], [20, 1]], 1/298598400], [[[1, 1], [2, 2], [6, 5], [8, 1], [24, 1]], 1/358318080], [[[1, 1], [2, 2], [6, 5], [8, 1], [30, 1]], 1/447897600], [[[1, 1], [2, 2], [6, 5], [8, 2], [10, 1]], 1/1791590400], [[[1, 1], [2, 2], [6, 5], [8, 2], [12, 1]], 11/2149908480], [[[1, 1], [2, 2], [6, 5], [9, 1], [18, 1]], 1/604661760], [[[1, 1], [2, 2], [6, 5], [10, 1], [12, 2]], 271/2687385600], [[[1, 1], [2, 2], [6, 5], [10, 1], [15, 1]], 1/279936000], [[[1, 1], [2, 2], [6, 5], [10, 1], [20, 1]], 1/186624000], [[[1, 1], [2, 2], [6, 5], [10, 1], [24, 1]], 1/223948800], [[[1, 1], [2, 2], [6, 5], [10, 1], [30, 1]], 1/279936000], [[[1, 1], [2, 2], [6, 5], [10, 2], [12, 1]], 11/6718464000], [[[1, 1], [2, 2], [6, 5], [12, 1], [15, 1]], 11/335923200], [[[1, 1], [2, 2], [6, 5], [12, 1], [20, 1]], 11/223948800], [[[1, 1], [2, 2], [6, 5], [12, 1], [24, 1]], 11/268738560], [[[1, 1], [2, 2], [6, 5], [12, 1], [30, 1]], 11/335923200], [[[1, 1], [2, 2], [6, 5], [14, 1], [18, 1]], 1/235146240], [[[1, 1], [2, 2], [6, 6], [7, 1], [12, 1]], 1/2508226560], [[[1, 1], [2, 2], [6, 6], [8, 1], [18, 1]], 1/806215680], [[[1, 1], [2, 2], [6, 6], [9, 1], [12, 1]], 1/3224862720], [[[1, 1], [2, 2], [6, 6], [10, 1], [18, 1]], 1/503884800], [[[1, 1], [2, 2], [6, 6], [12, 1], [14, 1]], 1/1254113280], [[[1, 1], [2, 2], [6, 6], [12, 1], [18, 1]], 1/53747712], [[[1, 1], [2, 2], [6, 7], [8, 1], [12, 1]], 1/4299816960], [[[1, 1], [2, 2], [6, 7], [10, 1], [12, 1]], 1/2687385600], [[[1, 1], [2, 2], [7, 1], [8, 2], [10, 2]], 1/6451200], [[[1, 1], [2, 2], [7, 1], [8, 2], [12, 2]], 1/3096576], [[[1, 1], [2, 2], [7, 1], [8, 2], [15, 1]], 1/322560], [[[1, 1], [2, 2], [7, 1], [8, 2], [20, 1]], 1/215040], [[[1, 1], [2, 2], [7, 1], [8, 2], [24, 1]], 11/86016], [[[1, 1], [2, 2], [7, 1], [8, 2], [30, 1]], 1/322560], [[[1, 1], [2, 2], [7, 1], [10, 2], [12, 2]], 1/9676800], [[[1, 1], [2, 2], [7, 1], [10, 2], [15, 1]], 1/1008000], [[[1, 1], [2, 2], [7, 1], [10, 2], [20, 1]], 1/672000], [[[1, 1], [2, 2], [7, 1], [10, 2], [24, 1]], 1/806400], [[[1, 1], [2, 2], [7, 1], [10, 2], [30, 1]], 1/1008000], [[[1, 1], [2, 2], [7, 1], [12, 1], [36, 1]], 1/6048], [[[1, 1], [2, 2], [7, 1], [12, 2], [15, 1]], 1/483840], [[[1, 1], [2, 2], [7, 1], [12, 2], [20, 1]], 1/322560], [[[1, 1], [2, 2], [7, 1], [12, 2], [24, 1]], 13/387072], [[[1, 1], [2, 2], [7, 1], [12, 2], [30, 1]], 1/483840], [[[1, 1], [2, 2], [7, 1], [15, 1], [20, 1]], 1/33600], [[[1, 1], [2, 2], [7, 1], [15, 1], [24, 1]], 1/40320], [[[1, 1], [2, 2], [7, 1], [15, 1], [30, 1]], 1/3150], [[[1, 1], [2, 2], [7, 1], [20, 1], [24, 1]], 1/26880], [[[1, 1], [2, 2], [7, 1], [20, 1], [30, 1]], 1/33600], [[[1, 1], [2, 2], [7, 1], [24, 1], [30, 1]], 1/40320], [[[1, 1], [2, 2], [8, 2], [9, 1], [10, 2]], 1/8294400], [[[1, 1], [2, 2], [8, 2], [9, 1], [12, 2]], 1/3981312], [[[1, 1], [2, 2], [8, 2], [9, 1], [15, 1]], 1/414720], [[[1, 1], [2, 2], [8, 2], [9, 1], [20, 1]], 1/276480], [[[1, 1], [2, 2], [8, 2], [9, 1], [24, 1]], 11/110592], [[[1, 1], [2, 2], [8, 2], [9, 1], [30, 1]], 1/414720], [[[1, 1], [2, 2], [8, 2], [10, 2], [14, 1]], 1/3225600], [[[1, 1], [2, 2], [8, 2], [10, 2], [18, 1]], 1/6220800], [[[1, 1], [2, 2], [8, 2], [12, 2], [14, 1]], 1/1548288], [[[1, 1], [2, 2], [8, 2], [12, 2], [18, 1]], 1/2985984], [[[1, 1], [2, 2], [8, 2], [14, 1], [15, 1]], 1/161280], [[[1, 1], [2, 2], [8, 2], [14, 1], [20, 1]], 1/107520], [[[1, 1], [2, 2], [8, 2], [14, 1], [24, 1]], 11/43008], [[[1, 1], [2, 2], [8, 2], [14, 1], [30, 1]], 1/161280], [[[1, 1], [2, 2], [8, 2], [15, 1], [18, 1]], 1/311040], [[[1, 1], [2, 2], [8, 2], [18, 1], [20, 1]], 1/207360], [[[1, 1], [2, 2], [8, 2], [18, 1], [24, 1]], 11/82944], [[[1, 1], [2, 2], [8, 2], [18, 1], [30, 1]], 1/311040], [[[1, 1], [2, 2], [9, 1], [10, 2], [12, 2]], 1/12441600], [[[1, 1], [2, 2], [9, 1], [10, 2], [15, 1]], 1/1296000], [[[1, 1], [2, 2], [9, 1], [10, 2], [20, 1]], 1/864000], [[[1, 1], [2, 2], [9, 1], [10, 2], [24, 1]], 1/1036800], [[[1, 1], [2, 2], [9, 1], [10, 2], [30, 1]], 1/1296000], [[[1, 1], [2, 2], [9, 1], [12, 1], [36, 1]], 1/7776], [[[1, 1], [2, 2], [9, 1], [12, 2], [15, 1]], 1/622080], [[[1, 1], [2, 2], [9, 1], [12, 2], [20, 1]], 1/414720], [[[1, 1], [2, 2], [9, 1], [12, 2], [24, 1]], 13/497664], [[[1, 1], [2, 2], [9, 1], [12, 2], [30, 1]], 1/622080], [[[1, 1], [2, 2], [9, 1], [15, 1], [20, 1]], 1/43200], [[[1, 1], [2, 2], [9, 1], [15, 1], [24, 1]], 1/51840], [[[1, 1], [2, 2], [9, 1], [15, 1], [30, 1]], 1/4050], [[[1, 1], [2, 2], [9, 1], [20, 1], [24, 1]], 1/34560], [[[1, 1], [2, 2], [9, 1], [20, 1], [30, 1]], 1/43200], [[[1, 1], [2, 2], [9, 1], [24, 1], [30, 1]], 1/51840], [[[1, 1], [2, 2], [10, 2], [12, 2], [14, 1]], 1/4838400], [[[1, 1], [2, 2], [10, 2], [12, 2], [18, 1]], 1/9331200], [[[1, 1], [2, 2], [10, 2], [14, 1], [15, 1]], 1/504000], [[[1, 1], [2, 2], [10, 2], [14, 1], [20, 1]], 1/336000], [[[1, 1], [2, 2], [10, 2], [14, 1], [24, 1]], 1/403200], [[[1, 1], [2, 2], [10, 2], [14, 1], [30, 1]], 1/504000], [[[1, 1], [2, 2], [10, 2], [15, 1], [18, 1]], 1/972000], [[[1, 1], [2, 2], [10, 2], [18, 1], [20, 1]], 1/648000], [[[1, 1], [2, 2], [10, 2], [18, 1], [24, 1]], 1/777600], [[[1, 1], [2, 2], [10, 2], [18, 1], [30, 1]], 1/972000], [[[1, 1], [2, 2], [12, 1], [14, 1], [36, 1]], 1/3024], [[[1, 1], [2, 2], [12, 1], [18, 1], [36, 1]], 1/5832], [[[1, 1], [2, 2], [12, 2], [14, 1], [15, 1]], 1/241920], [[[1, 1], [2, 2], [12, 2], [14, 1], [20, 1]], 1/161280], [[[1, 1], [2, 2], [12, 2], [14, 1], [24, 1]], 13/193536], [[[1, 1], [2, 2], [12, 2], [14, 1], [30, 1]], 1/241920], [[[1, 1], [2, 2], [12, 2], [15, 1], [18, 1]], 1/466560], [[[1, 1], [2, 2], [12, 2], [18, 1], [20, 1]], 1/311040], [[[1, 1], [2, 2], [12, 2], [18, 1], [24, 1]], 13/373248], [[[1, 1], [2, 2], [12, 2], [18, 1], [30, 1]], 1/466560], [[[1, 1], [2, 2], [14, 1], [15, 1], [20, 1]], 1/16800], [[[1, 1], [2, 2], [14, 1], [15, 1], [24, 1]], 1/20160], [[[1, 1], [2, 2], [14, 1], [15, 1], [30, 1]], 1/1575], [[[1, 1], [2, 2], [14, 1], [20, 1], [24, 1]], 1/13440], [[[1, 1], [2, 2], [14, 1], [20, 1], [30, 1]], 1/16800], [[[1, 1], [2, 2], [14, 1], [24, 1], [30, 1]], 1/20160], [[[1, 1], [2, 2], [15, 1], [18, 1], [20, 1]], 1/32400], [[[1, 1], [2, 2], [15, 1], [18, 1], [24, 1]], 1/38880], [[[1, 1], [2, 2], [15, 1], [18, 1], [30, 1]], 2/6075], [[[1, 1], [2, 2], [18, 1], [20, 1], [24, 1]], 1/25920], [[[1, 1], [2, 2], [18, 1], [20, 1], [30, 1]], 1/32400], [[[1, 1], [2, 2], [18, 1], [24, 1], [30, 1]], 1/38880], [[[1, 1], [2, 4], [3, 1], [4, 1], [5, 4]], 1/829440000], [[[1, 1], [2, 4], [3, 1], [4, 1], [6, 8]], 107/18575209267200], [[[1, 1], [2, 4], [3, 1], [4, 1], [8, 4]], 7/15728640], [[[1, 1], [2, 4], [3, 1], [4, 1], [10, 4]], 1/829440000], [[[1, 1], [2, 4], [3, 1], [4, 1], [12, 4]], 23/2866544640], [[[1, 1], [2, 4], [3, 1], [4, 1], [15, 2]], 1/2073600], [[[1, 1], [2, 4], [3, 1], [4, 1], [16, 2]], 1/442368], [[[1, 1], [2, 4], [3, 1], [4, 1], [20, 2]], 1/552960], [[[1, 1], [2, 4], [3, 1], [4, 1], [24, 2]], 1/442368], [[[1, 1], [2, 4], [3, 1], [4, 1], [30, 2]], 1/2073600], [[[1, 1], [2, 4], [3, 1], [4, 1], [40, 1]], 1/46080], [[[1, 1], [2, 4], [3, 1], [4, 1], [48, 1]], 1/55296], [[[1, 1], [2, 4], [3, 1], [4, 1], [60, 1]], 1/69120], [[[1, 1], [2, 4], [3, 1], [4, 2], [6, 7]], 1/51597803520], [[[1, 1], [2, 4], [3, 1], [4, 3], [6, 6]], 1/12899450880], [[[1, 1], [2, 4], [3, 1], [4, 3], [12, 3]], 7/71663616], [[[1, 1], [2, 4], [3, 1], [4, 3], [28, 1]], 1/64512], [[[1, 1], [2, 4], [3, 1], [4, 3], [36, 1]], 1/248832], [[[1, 1], [2, 4], [3, 1], [4, 4], [6, 5]], 11/2063912140800], [[[1, 1], [2, 4], [3, 1], [4, 5], [5, 2]], 1/31850496000], [[[1, 1], [2, 4], [3, 1], [4, 5], [6, 4]], 161/8255648563200], [[[1, 1], [2, 4], [3, 1], [4, 5], [8, 2]], 259/10192158720], [[[1, 1], [2, 4], [3, 1], [4, 5], [10, 2]], 1/31850496000], [[[1, 1], [2, 4], [3, 1], [4, 5], [12, 2]], 3841/15288238080], [[[1, 1], [2, 4], [3, 1], [4, 5], [15, 1]], 1/1592524800], [[[1, 1], [2, 4], [3, 1], [4, 5], [20, 1]], 77/212336640], [[[1, 1], [2, 4], [3, 1], [4, 5], [24, 1]], 1/1274019840], [[[1, 1], [2, 4], [3, 1], [4, 5], [30, 1]], 1/1592524800], [[[1, 1], [2, 4], [3, 1], [4, 6], [6, 3]], 1/15288238080], [[[1, 1], [2, 4], [3, 1], [4, 6], [9, 1]], 13/91729428480], [[[1, 1], [2, 4], [3, 1], [4, 7], [6, 2]], 1/3822059520], [[[1, 1], [2, 4], [3, 1], [4, 7], [12, 1]], 19/11466178560], [[[1, 1], [2, 4], [3, 1], [4, 8], [6, 1]], 17/5136847994880], [[[1, 1], [2, 4], [3, 1], [5, 1], [6, 7]], 1/145118822400], [[[1, 1], [2, 4], [3, 1], [5, 2], [6, 5]], 11/26873856000], [[[1, 1], [2, 4], [3, 1], [5, 3], [6, 3]], 1/559872000], [[[1, 1], [2, 4], [3, 1], [5, 3], [14, 1]], 1/2016000], [[[1, 1], [2, 4], [3, 1], [5, 3], [18, 1]], 1/7776000], [[[1, 1], [2, 4], [3, 1], [5, 4], [6, 1]], 1/207360000], [[[1, 1], [2, 4], [3, 1], [6, 1], [8, 4]], 1/11796480], [[[1, 1], [2, 4], [3, 1], [6, 1], [10, 4]], 1/207360000], [[[1, 1], [2, 4], [3, 1], [6, 1], [12, 4]], 203/716636160], [[[1, 1], [2, 4], [3, 1], [6, 1], [15, 2]], 1/518400], [[[1, 1], [2, 4], [3, 1], [6, 1], [16, 2]], 1/110592], [[[1, 1], [2, 4], [3, 1], [6, 1], [20, 2]], 1/138240], [[[1, 1], [2, 4], [3, 1], [6, 1], [24, 2]], 1/110592], [[[1, 1], [2, 4], [3, 1], [6, 1], [30, 2]], 1/518400], [[[1, 1], [2, 4], [3, 1], [6, 1], [40, 1]], 1/11520], [[[1, 1], [2, 4], [3, 1], [6, 1], [48, 1]], 1/13824], [[[1, 1], [2, 4], [3, 1], [6, 1], [60, 1]], 1/17280], [[[1, 1], [2, 4], [3, 1], [6, 3], [8, 3]], 1/143327232], [[[1, 1], [2, 4], [3, 1], [6, 3], [9, 2]], 1/30233088], [[[1, 1], [2, 4], [3, 1], [6, 3], [10, 3]], 1/20736000], [[[1, 1], [2, 4], [3, 1], [6, 3], [12, 3]], 73/214990848], [[[1, 1], [2, 4], [3, 1], [6, 3], [18, 2]], 433/1119744], [[[1, 1], [2, 4], [3, 1], [6, 5], [8, 2]], 11/8599633920], [[[1, 1], [2, 4], [3, 1], [6, 5], [10, 2]], 11/26873856000], [[[1, 1], [2, 4], [3, 1], [6, 5], [12, 2]], 887/12899450880], [[[1, 1], [2, 4], [3, 1], [6, 5], [15, 1]], 11/1343692800], [[[1, 1], [2, 4], [3, 1], [6, 5], [20, 1]], 11/895795200], [[[1, 1], [2, 4], [3, 1], [6, 5], [24, 1]], 11/1074954240], [[[1, 1], [2, 4], [3, 1], [6, 5], [30, 1]], 11/1343692800], [[[1, 1], [2, 4], [3, 1], [6, 6], [9, 1]], 91/130606940160], [[[1, 1], [2, 4], [3, 1], [6, 6], [14, 1]], 1/2508226560], [[[1, 1], [2, 4], [3, 1], [6, 6], [18, 1]], 1/214990848], [[[1, 1], [2, 4], [3, 1], [6, 7], [8, 1]], 1/116095057920], [[[1, 1], [2, 4], [3, 1], [6, 7], [10, 1]], 1/5374771200], [[[1, 1], [2, 4], [3, 1], [6, 7], [12, 1]], 109/116095057920], [[[1, 1], [2, 4], [3, 1], [8, 3], [9, 1]], 1/7962624], [[[1, 1], [2, 4], [3, 1], [8, 3], [14, 1]], 1/516096], [[[1, 1], [2, 4], [3, 1], [8, 3], [18, 1]], 1/1990656], [[[1, 1], [2, 4], [3, 1], [9, 1], [10, 3]], 11/77760000], [[[1, 1], [2, 4], [3, 1], [9, 1], [14, 2]], 1/56448], [[[1, 1], [2, 4], [3, 1], [9, 1], [18, 2]], 7/2519424], [[[1, 1], [2, 4], [3, 1], [9, 2], [14, 1]], 1/108864], [[[1, 1], [2, 4], [3, 1], [9, 2], [18, 1]], 1/419904], [[[1, 1], [2, 4], [3, 1], [12, 3], [14, 1]], 1/774144], [[[1, 1], [2, 4], [3, 1], [12, 3], [18, 1]], 1/2985984], [[[1, 1], [2, 4], [3, 2], [4, 1], [6, 7]], 1/103195607040], [[[1, 1], [2, 4], [3, 2], [4, 2], [6, 6]], 943/3302259425280], [[[1, 1], [2, 4], [3, 2], [4, 2], [9, 2]], 13/214990848], [[[1, 1], [2, 4], [3, 2], [4, 2], [12, 3]], 13/3057647616], [[[1, 1], [2, 4], [3, 2], [4, 3], [6, 5]], 11/206391214080], [[[1, 1], [2, 4], [3, 2], [4, 4], [6, 4]], 115/247669456896], [[[1, 1], [2, 4], [3, 2], [4, 4], [12, 2]], 13/764411904], [[[1, 1], [2, 4], [3, 2], [4, 5], [6, 3]], 7/10192158720], [[[1, 1], [2, 4], [3, 2], [4, 5], [9, 1]], 1/2866544640], [[[1, 1], [2, 4], [3, 2], [4, 6], [6, 2]], 269/2935341711360], [[[1, 1], [2, 4], [3, 2], [4, 6], [12, 1]], 13/489223618560], [[[1, 1], [2, 4], [3, 2], [4, 7], [6, 1]], 17/256842399744], [[[1, 1], [2, 4], [3, 2], [5, 2], [6, 4]], 7/3224862720], [[[1, 1], [2, 4], [3, 2], [6, 2], [8, 3]], 17/254803968], [[[1, 1], [2, 4], [3, 2], [6, 2], [9, 2]], 7/30233088], [[[1, 1], [2, 4], [3, 2], [6, 2], [10, 3]], 211/2488320000], [[[1, 1], [2, 4], [3, 2], [6, 2], [12, 3]], 175/429981696], [[[1, 1], [2, 4], [3, 2], [6, 2], [14, 2]], 1/1806336], [[[1, 1], [2, 4], [3, 2], [6, 2], [18, 2]], 7/8957952], [[[1, 1], [2, 4], [3, 2], [6, 4], [8, 2]], 35/5159780352], [[[1, 1], [2, 4], [3, 2], [6, 4], [10, 2]], 1979/16124313600], [[[1, 1], [2, 4], [3, 2], [6, 4], [12, 2]], 4403/7739670528], [[[1, 1], [2, 4], [3, 2], [6, 4], [15, 1]], 7/161243136], [[[1, 1], [2, 4], [3, 2], [6, 4], [20, 1]], 7/107495424], [[[1, 1], [2, 4], [3, 2], [6, 4], [24, 1]], 1547/644972544], [[[1, 1], [2, 4], [3, 2], [6, 4], [30, 1]], 7/161243136], [[[1, 1], [2, 4], [3, 2], [6, 5], [7, 1]], 11/7524679680], [[[1, 1], [2, 4], [3, 2], [6, 5], [9, 1]], 11/1934917632], [[[1, 1], [2, 4], [3, 2], [6, 5], [14, 1]], 11/1504935936], [[[1, 1], [2, 4], [3, 2], [6, 5], [18, 1]], 259/9674588160], [[[1, 1], [2, 4], [3, 2], [6, 6], [8, 1]], 59/68797071360], [[[1, 1], [2, 4], [3, 2], [6, 6], [10, 1]], 737/214990848000], [[[1, 1], [2, 4], [3, 2], [6, 6], [12, 1]], 4627/696570347520], [[[1, 1], [2, 4], [3, 2], [8, 1], [9, 2]], 1/4478976], [[[1, 1], [2, 4], [3, 2], [8, 1], [12, 3]], 1/63700992], [[[1, 1], [2, 4], [3, 2], [8, 3], [12, 1]], 1/42467328], [[[1, 1], [2, 4], [3, 2], [9, 2], [10, 1]], 11/13996800], [[[1, 1], [2, 4], [3, 2], [10, 1], [12, 3]], 11/199065600], [[[1, 1], [2, 4], [3, 2], [10, 3], [12, 1]], 11/414720000], [[[1, 1], [2, 4], [3, 2], [12, 1], [14, 2]], 1/301056], [[[1, 1], [2, 4], [3, 2], [12, 1], [18, 2]], 7/13436928], [[[1, 1], [2, 4], [3, 3], [4, 1], [6, 6]], 1339/103195607040], [[[1, 1], [2, 4], [3, 3], [4, 1], [8, 3]], 1/127401984], [[[1, 1], [2, 4], [3, 3], [4, 1], [9, 2]], 1/6718464], [[[1, 1], [2, 4], [3, 3], [4, 1], [12, 3]], 1/95551488], [[[1, 1], [2, 4], [3, 3], [4, 2], [6, 5]], 811/464380231680], [[[1, 1], [2, 4], [3, 3], [4, 3], [6, 4]], 25/143327232], [[[1, 1], [2, 4], [3, 3], [4, 3], [12, 2]], 1/23887872], [[[1, 1], [2, 4], [3, 3], [4, 4], [6, 3]], 163/1857520926720], [[[1, 1], [2, 4], [3, 3], [4, 4], [14, 1]], 1/6688604160], [[[1, 1], [2, 4], [3, 3], [4, 4], [18, 1]], 1/25798901760], [[[1, 1], [2, 4], [3, 3], [4, 5], [6, 2]], 17/91729428480], [[[1, 1], [2, 4], [3, 3], [4, 5], [8, 1]], 1/30576476160], [[[1, 1], [2, 4], [3, 3], [4, 5], [12, 1]], 1/15288238080], [[[1, 1], [2, 4], [3, 3], [4, 6], [6, 1]], 1/137594142720], [[[1, 1], [2, 4], [3, 3], [5, 1], [6, 5]], 11/16124313600], [[[1, 1], [2, 4], [3, 3], [5, 2], [6, 3]], 163/24186470400], [[[1, 1], [2, 4], [3, 3], [5, 2], [14, 1]], 1/87091200], [[[1, 1], [2, 4], [3, 3], [5, 2], [18, 1]], 1/335923200], [[[1, 1], [2, 4], [3, 3], [5, 3], [6, 1]], 1/62208000], [[[1, 1], [2, 4], [3, 3], [6, 1], [8, 3]], 1/15925248], [[[1, 1], [2, 4], [3, 3], [6, 1], [9, 2]], 1/1119744], [[[1, 1], [2, 4], [3, 3], [6, 1], [10, 3]], 1/186624000], [[[1, 1], [2, 4], [3, 3], [6, 1], [12, 3]], 73/214990848], [[[1, 1], [2, 4], [3, 3], [6, 1], [18, 2]], 1/30233088], [[[1, 1], [2, 4], [3, 3], [6, 3], [8, 2]], 163/7739670528], [[[1, 1], [2, 4], [3, 3], [6, 3], [10, 2]], 163/24186470400], [[[1, 1], [2, 4], [3, 3], [6, 3], [12, 2]], 13879/11609505792], [[[1, 1], [2, 4], [3, 3], [6, 3], [15, 1]], 163/1209323520], [[[1, 1], [2, 4], [3, 3], [6, 3], [20, 1]], 163/806215680], [[[1, 1], [2, 4], [3, 3], [6, 3], [24, 1]], 5995/967458816], [[[1, 1], [2, 4], [3, 3], [6, 3], [30, 1]], 163/1209323520], [[[1, 1], [2, 4], [3, 3], [6, 4], [9, 1]], 35/1451188224], [[[1, 1], [2, 4], [3, 3], [6, 4], [14, 1]], 811/22574039040], [[[1, 1], [2, 4], [3, 3], [6, 4], [18, 1]], 7331/87071293440], [[[1, 1], [2, 4], [3, 3], [6, 5], [8, 1]], 11/12899450880], [[[1, 1], [2, 4], [3, 3], [6, 5], [10, 1]], 811/48372940800], [[[1, 1], [2, 4], [3, 3], [6, 5], [12, 1]], 2639/116095057920], [[[1, 1], [2, 4], [3, 3], [8, 2], [14, 1]], 1/27869184], [[[1, 1], [2, 4], [3, 3], [8, 2], [18, 1]], 1/107495424], [[[1, 1], [2, 4], [3, 3], [10, 2], [14, 1]], 1/87091200], [[[1, 1], [2, 4], [3, 3], [10, 2], [18, 1]], 1/335923200], [[[1, 1], [2, 4], [3, 3], [12, 2], [14, 1]], 55/41803776], [[[1, 1], [2, 4], [3, 3], [12, 2], [18, 1]], 55/161243136], [[[1, 1], [2, 4], [3, 3], [14, 1], [15, 1]], 1/4354560], [[[1, 1], [2, 4], [3, 3], [14, 1], [20, 1]], 1/2903040], [[[1, 1], [2, 4], [3, 3], [14, 1], [24, 1]], 1/3483648], [[[1, 1], [2, 4], [3, 3], [14, 1], [30, 1]], 1/4354560], [[[1, 1], [2, 4], [3, 3], [15, 1], [18, 1]], 1/16796160], [[[1, 1], [2, 4], [3, 3], [18, 1], [20, 1]], 1/11197440], [[[1, 1], [2, 4], [3, 3], [18, 1], [24, 1]], 1/13436928], [[[1, 1], [2, 4], [3, 3], [18, 1], [30, 1]], 1/16796160], [[[1, 1], [2, 4], [3, 4], [4, 1], [6, 5]], 81811/9287604633600], [[[1, 1], [2, 4], [3, 4], [4, 2], [5, 2]], 13/3439853568000], [[[1, 1], [2, 4], [3, 4], [4, 2], [6, 4]], 3139703/891610044825600], [[[1, 1], [2, 4], [3, 4], [4, 2], [8, 2]], 2281/1100753141760], [[[1, 1], [2, 4], [3, 4], [4, 2], [10, 2]], 13/3439853568000], [[[1, 1], [2, 4], [3, 4], [4, 2], [12, 2]], 3523/1651129712640], [[[1, 1], [2, 4], [3, 4], [4, 2], [15, 1]], 13/171992678400], [[[1, 1], [2, 4], [3, 4], [4, 2], [20, 1]], 13/114661785600], [[[1, 1], [2, 4], [3, 4], [4, 2], [24, 1]], 13/137594142720], [[[1, 1], [2, 4], [3, 4], [4, 2], [30, 1]], 13/171992678400], [[[1, 1], [2, 4], [3, 4], [4, 3], [6, 3]], 811/1857520926720], [[[1, 1], [2, 4], [3, 4], [4, 3], [14, 1]], 1/6688604160], [[[1, 1], [2, 4], [3, 4], [4, 3], [18, 1]], 1/25798901760], [[[1, 1], [2, 4], [3, 4], [4, 4], [6, 2]], 2077/37150418534400], [[[1, 1], [2, 4], [3, 4], [4, 4], [8, 1]], 181/5503765708800], [[[1, 1], [2, 4], [3, 4], [4, 4], [10, 1]], 11/17199267840000], [[[1, 1], [2, 4], [3, 4], [4, 4], [12, 1]], 13/412782428160], [[[1, 1], [2, 4], [3, 4], [4, 5], [6, 1]], 7/917294284800], [[[1, 1], [2, 4], [3, 4], [5, 2], [6, 2]], 1897/483729408000], [[[1, 1], [2, 4], [3, 4], [5, 2], [8, 1]], 1/71663616000], [[[1, 1], [2, 4], [3, 4], [5, 2], [10, 1]], 11/223948800000], [[[1, 1], [2, 4], [3, 4], [6, 2], [8, 2]], 1897/154793410560], [[[1, 1], [2, 4], [3, 4], [6, 2], [10, 2]], 509/96745881600], [[[1, 1], [2, 4], [3, 4], [6, 2], [12, 2]], 26593/232190115840], [[[1, 1], [2, 4], [3, 4], [6, 2], [15, 1]], 1897/24186470400], [[[1, 1], [2, 4], [3, 4], [6, 2], [20, 1]], 1897/16124313600], [[[1, 1], [2, 4], [3, 4], [6, 2], [24, 1]], 1897/19349176320], [[[1, 1], [2, 4], [3, 4], [6, 2], [30, 1]], 1897/24186470400], [[[1, 1], [2, 4], [3, 4], [6, 3], [7, 1]], 811/67722117120], [[[1, 1], [2, 4], [3, 4], [6, 3], [9, 1]], 7331/87071293440], [[[1, 1], [2, 4], [3, 4], [6, 3], [14, 1]], 811/13544423424], [[[1, 1], [2, 4], [3, 4], [6, 3], [18, 1]], 17059/261213880320], [[[1, 1], [2, 4], [3, 4], [6, 4], [8, 1]], 211571/18575209267200], [[[1, 1], [2, 4], [3, 4], [6, 4], [10, 1]], 2521921/58047528960000], [[[1, 1], [2, 4], [3, 4], [6, 4], [12, 1]], 4039/139314069504], [[[1, 1], [2, 4], [3, 4], [7, 1], [14, 1]], 1/243855360], [[[1, 1], [2, 4], [3, 4], [7, 1], [18, 1]], 1/940584960], [[[1, 1], [2, 4], [3, 4], [8, 1], [10, 2]], 1/71663616000], [[[1, 1], [2, 4], [3, 4], [8, 1], [12, 2]], 271/34398535680], [[[1, 1], [2, 4], [3, 4], [8, 1], [15, 1]], 1/3583180800], [[[1, 1], [2, 4], [3, 4], [8, 1], [20, 1]], 1/2388787200], [[[1, 1], [2, 4], [3, 4], [8, 1], [24, 1]], 1/2866544640], [[[1, 1], [2, 4], [3, 4], [8, 1], [30, 1]], 1/3583180800], [[[1, 1], [2, 4], [3, 4], [8, 2], [10, 1]], 11/71663616000], [[[1, 1], [2, 4], [3, 4], [9, 1], [14, 1]], 41/313528320], [[[1, 1], [2, 4], [3, 4], [9, 1], [18, 1]], 41/1209323520], [[[1, 1], [2, 4], [3, 4], [10, 1], [12, 2]], 2981/107495424000], [[[1, 1], [2, 4], [3, 4], [10, 1], [15, 1]], 11/11197440000], [[[1, 1], [2, 4], [3, 4], [10, 1], [20, 1]], 11/7464960000], [[[1, 1], [2, 4], [3, 4], [10, 1], [24, 1]], 11/8957952000], [[[1, 1], [2, 4], [3, 4], [10, 1], [30, 1]], 11/11197440000], [[[1, 1], [2, 4], [3, 4], [14, 1], [18, 1]], 1/188116992], [[[1, 1], [2, 4], [3, 5], [4, 1], [5, 2]], 1/107495424000], [[[1, 1], [2, 4], [3, 5], [4, 1], [6, 4]], 3321971/27862813900800], [[[1, 1], [2, 4], [3, 5], [4, 1], [8, 2]], 19/34398535680], [[[1, 1], [2, 4], [3, 5], [4, 1], [10, 2]], 1/107495424000], [[[1, 1], [2, 4], [3, 5], [4, 1], [12, 2]], 271/51597803520], [[[1, 1], [2, 4], [3, 5], [4, 1], [15, 1]], 1/5374771200], [[[1, 1], [2, 4], [3, 5], [4, 1], [20, 1]], 1/3583180800], [[[1, 1], [2, 4], [3, 5], [4, 1], [24, 1]], 1/4299816960], [[[1, 1], [2, 4], [3, 5], [4, 1], [30, 1]], 1/5374771200], [[[1, 1], [2, 4], [3, 5], [4, 2], [6, 3]], 11/51597803520], [[[1, 1], [2, 4], [3, 5], [4, 2], [9, 1]], 13/309586821120], [[[1, 1], [2, 4], [3, 5], [4, 3], [6, 2]], 1/12899450880], [[[1, 1], [2, 4], [3, 5], [4, 3], [12, 1]], 1/12899450880], [[[1, 1], [2, 4], [3, 5], [4, 4], [6, 1]], 11/2063912140800], [[[1, 1], [2, 4], [3, 5], [5, 1], [6, 3]], 811/145118822400], [[[1, 1], [2, 4], [3, 5], [5, 1], [14, 1]], 1/522547200], [[[1, 1], [2, 4], [3, 5], [5, 1], [18, 1]], 1/2015539200], [[[1, 1], [2, 4], [3, 5], [5, 2], [6, 1]], 11/26873856000], [[[1, 1], [2, 4], [3, 5], [6, 1], [8, 2]], 11/8599633920], [[[1, 1], [2, 4], [3, 5], [6, 1], [10, 2]], 11/26873856000], [[[1, 1], [2, 4], [3, 5], [6, 1], [12, 2]], 887/12899450880], [[[1, 1], [2, 4], [3, 5], [6, 1], [15, 1]], 11/1343692800], [[[1, 1], [2, 4], [3, 5], [6, 1], [20, 1]], 11/895795200], [[[1, 1], [2, 4], [3, 5], [6, 1], [24, 1]], 11/1074954240], [[[1, 1], [2, 4], [3, 5], [6, 1], [30, 1]], 11/1343692800], [[[1, 1], [2, 4], [3, 5], [6, 2], [9, 1]], 1897/43535646720], [[[1, 1], [2, 4], [3, 5], [6, 2], [14, 1]], 11/2508226560], [[[1, 1], [2, 4], [3, 5], [6, 2], [18, 1]], 11/1934917632], [[[1, 1], [2, 4], [3, 5], [6, 3], [8, 1]], 811/116095057920], [[[1, 1], [2, 4], [3, 5], [6, 3], [10, 1]], 11/5374771200], [[[1, 1], [2, 4], [3, 5], [6, 3], [12, 1]], 2639/116095057920], [[[1, 1], [2, 4], [3, 5], [8, 1], [9, 1]], 1/6449725440], [[[1, 1], [2, 4], [3, 5], [8, 1], [14, 1]], 1/418037760], [[[1, 1], [2, 4], [3, 5], [8, 1], [18, 1]], 1/1612431360], [[[1, 1], [2, 4], [3, 5], [9, 1], [10, 1]], 11/20155392000], [[[1, 1], [2, 4], [3, 5], [12, 1], [14, 1]], 11/418037760], [[[1, 1], [2, 4], [3, 5], [12, 1], [18, 1]], 11/1612431360], [[[1, 1], [2, 4], [3, 6], [4, 1], [6, 3]], 1/103195607040], [[[1, 1], [2, 4], [3, 6], [4, 1], [9, 1]], 1/9674588160], [[[1, 1], [2, 4], [3, 6], [4, 2], [6, 2]], 269/9906778275840], [[[1, 1], [2, 4], [3, 6], [4, 2], [12, 1]], 13/1651129712640], [[[1, 1], [2, 4], [3, 6], [4, 3], [6, 1]], 1/206391214080], [[[1, 1], [2, 4], [3, 6], [6, 1], [7, 1]], 1/7524679680], [[[1, 1], [2, 4], [3, 6], [6, 1], [9, 1]], 1/214990848], [[[1, 1], [2, 4], [3, 6], [6, 1], [14, 1]], 1/1504935936], [[[1, 1], [2, 4], [3, 6], [6, 1], [18, 1]], 7/29023764480], [[[1, 1], [2, 4], [3, 6], [6, 2], [8, 1]], 17/206391214080], [[[1, 1], [2, 4], [3, 6], [6, 2], [10, 1]], 211/644972544000], [[[1, 1], [2, 4], [3, 6], [6, 2], [12, 1]], 1939/232190115840], [[[1, 1], [2, 4], [3, 6], [8, 1], [12, 1]], 1/34398535680], [[[1, 1], [2, 4], [3, 6], [10, 1], [12, 1]], 11/107495424000], [[[1, 1], [2, 4], [3, 7], [4, 1], [6, 2]], 17/309586821120], [[[1, 1], [2, 4], [3, 7], [4, 1], [8, 1]], 1/103195607040], [[[1, 1], [2, 4], [3, 7], [4, 1], [12, 1]], 1/51597803520], [[[1, 1], [2, 4], [3, 7], [4, 2], [6, 1]], 1/464380231680], [[[1, 1], [2, 4], [3, 7], [5, 1], [6, 1]], 1/16124313600], [[[1, 1], [2, 4], [3, 7], [6, 1], [8, 1]], 1/12899450880], [[[1, 1], [2, 4], [3, 7], [6, 1], [10, 1]], 1/48372940800], [[[1, 1], [2, 4], [3, 7], [6, 1], [12, 1]], 109/116095057920], [[[1, 1], [2, 4], [3, 8], [4, 1], [6, 1]], 1/18575209267200], [[[1, 1], [2, 4], [4, 1], [5, 1], [6, 7]], 1/96745881600], [[[1, 1], [2, 4], [4, 1], [5, 2], [6, 5]], 1/35831808000], [[[1, 1], [2, 4], [4, 1], [5, 3], [6, 3]], 1/373248000], [[[1, 1], [2, 4], [4, 1], [5, 3], [14, 1]], 1/1344000], [[[1, 1], [2, 4], [4, 1], [5, 3], [18, 1]], 1/5184000], [[[1, 1], [2, 4], [4, 1], [5, 4], [6, 1]], 1/276480000], [[[1, 1], [2, 4], [4, 1], [6, 1], [8, 4]], 23/47185920], [[[1, 1], [2, 4], [4, 1], [6, 1], [10, 4]], 97/276480000], [[[1, 1], [2, 4], [4, 1], [6, 1], [12, 4]], 127/106168320], [[[1, 1], [2, 4], [4, 1], [6, 1], [15, 2]], 1/691200], [[[1, 1], [2, 4], [4, 1], [6, 1], [16, 2]], 1/147456], [[[1, 1], [2, 4], [4, 1], [6, 1], [20, 2]], 1/184320], [[[1, 1], [2, 4], [4, 1], [6, 1], [24, 2]], 1/147456], [[[1, 1], [2, 4], [4, 1], [6, 1], [30, 2]], 1/691200], [[[1, 1], [2, 4], [4, 1], [6, 1], [40, 1]], 1/15360], [[[1, 1], [2, 4], [4, 1], [6, 1], [48, 1]], 1/18432], [[[1, 1], [2, 4], [4, 1], [6, 1], [60, 1]], 1/23040], [[[1, 1], [2, 4], [4, 1], [6, 3], [8, 3]], 5/63700992], [[[1, 1], [2, 4], [4, 1], [6, 3], [10, 3]], 1/373248000], [[[1, 1], [2, 4], [4, 1], [6, 3], [12, 3]], 1433/2579890176], [[[1, 1], [2, 4], [4, 1], [6, 3], [18, 2]], 1/2239488], [[[1, 1], [2, 4], [4, 1], [6, 3], [28, 1]], 1/870912], [[[1, 1], [2, 4], [4, 1], [6, 3], [36, 1]], 1/1119744], [[[1, 1], [2, 4], [4, 1], [6, 5], [8, 2]], 7/11466178560], [[[1, 1], [2, 4], [4, 1], [6, 5], [10, 2]], 49/35831808000], [[[1, 1], [2, 4], [4, 1], [6, 5], [12, 2]], 149/5733089280], [[[1, 1], [2, 4], [4, 1], [6, 5], [15, 1]], 1/1791590400], [[[1, 1], [2, 4], [4, 1], [6, 5], [20, 1]], 1/1194393600], [[[1, 1], [2, 4], [4, 1], [6, 5], [24, 1]], 1/1433272320], [[[1, 1], [2, 4], [4, 1], [6, 5], [30, 1]], 1/1791590400], [[[1, 1], [2, 4], [4, 1], [6, 6], [18, 1]], 1/3224862720], [[[1, 1], [2, 4], [4, 1], [6, 7], [8, 1]], 7/154793410560], [[[1, 1], [2, 4], [4, 1], [6, 7], [10, 1]], 1/96745881600], [[[1, 1], [2, 4], [4, 1], [6, 7], [12, 1]], 7/92876046336], [[[1, 1], [2, 4], [4, 1], [7, 1], [8, 3]], 1/1376256], [[[1, 1], [2, 4], [4, 1], [7, 1], [14, 2]], 1/3136], [[[1, 1], [2, 4], [4, 1], [8, 3], [9, 1]], 1/1769472], [[[1, 1], [2, 4], [4, 1], [8, 3], [14, 1]], 1/49152], [[[1, 1], [2, 4], [4, 1], [8, 3], [18, 1]], 5/884736], [[[1, 1], [2, 4], [4, 1], [9, 1], [18, 2]], 1/15552], [[[1, 1], [2, 4], [4, 1], [10, 3], [14, 1]], 1/1344000], [[[1, 1], [2, 4], [4, 1], [10, 3], [18, 1]], 1/5184000], [[[1, 1], [2, 4], [4, 1], [12, 3], [14, 1]], 1/165888], [[[1, 1], [2, 4], [4, 1], [12, 3], [18, 1]], 7/4478976], [[[1, 1], [2, 4], [4, 1], [14, 1], [28, 1]], 1/3136], [[[1, 1], [2, 4], [4, 1], [14, 1], [36, 1]], 1/4032], [[[1, 1], [2, 4], [4, 1], [18, 1], [28, 1]], 1/12096], [[[1, 1], [2, 4], [4, 1], [18, 1], [36, 1]], 1/15552], [[[1, 1], [2, 4], [4, 2], [5, 1], [8, 3]], 1/1966080], [[[1, 1], [2, 4], [4, 2], [5, 2], [6, 4]], 2573/3439853568000], [[[1, 1], [2, 4], [4, 2], [5, 2], [8, 2]], 2281/4246732800], [[[1, 1], [2, 4], [4, 2], [5, 2], [10, 2]], 3913/13271040000], [[[1, 1], [2, 4], [4, 2], [5, 2], [12, 2]], 13/6370099200], [[[1, 1], [2, 4], [4, 2], [5, 2], [15, 1]], 13/663552000], [[[1, 1], [2, 4], [4, 2], [5, 2], [20, 1]], 13/442368000], [[[1, 1], [2, 4], [4, 2], [5, 2], [24, 1]], 13/530841600], [[[1, 1], [2, 4], [4, 2], [5, 2], [30, 1]], 13/663552000], [[[1, 1], [2, 4], [4, 2], [5, 3], [8, 1]], 1/6144000], [[[1, 1], [2, 4], [4, 2], [6, 2], [8, 3]], 1/10616832], [[[1, 1], [2, 4], [4, 2], [6, 2], [10, 3]], 1/20736000], [[[1, 1], [2, 4], [4, 2], [6, 2], [12, 3]], 116575/82556485632], [[[1, 1], [2, 4], [4, 2], [6, 2], [18, 2]], 47/71663616], [[[1, 1], [2, 4], [4, 2], [6, 2], [28, 1]], 1/41472], [[[1, 1], [2, 4], [4, 2], [6, 2], [36, 1]], 7/1119744], [[[1, 1], [2, 4], [4, 2], [6, 4], [8, 2]], 4841/1100753141760], [[[1, 1], [2, 4], [4, 2], [6, 4], [10, 2]], 2573/3439853568000], [[[1, 1], [2, 4], [4, 2], [6, 4], [12, 2]], 1694827/183458856960], [[[1, 1], [2, 4], [4, 2], [6, 4], [15, 1]], 2573/171992678400], [[[1, 1], [2, 4], [4, 2], [6, 4], [20, 1]], 2573/114661785600], [[[1, 1], [2, 4], [4, 2], [6, 4], [24, 1]], 2573/137594142720], [[[1, 1], [2, 4], [4, 2], [6, 4], [30, 1]], 2573/171992678400], [[[1, 1], [2, 4], [4, 2], [6, 5], [7, 1]], 1/5016453120], [[[1, 1], [2, 4], [4, 2], [6, 5], [9, 1]], 1/6449725440], [[[1, 1], [2, 4], [4, 2], [6, 5], [14, 1]], 1/2508226560], [[[1, 1], [2, 4], [4, 2], [6, 5], [18, 1]], 293/34398535680], [[[1, 1], [2, 4], [4, 2], [6, 6], [8, 1]], 1/8599633920], [[[1, 1], [2, 4], [4, 2], [6, 6], [10, 1]], 1/5374771200], [[[1, 1], [2, 4], [4, 2], [6, 6], [12, 1]], 99679/44580502241280], [[[1, 1], [2, 4], [4, 2], [8, 1], [10, 3]], 1/6144000], [[[1, 1], [2, 4], [4, 2], [8, 1], [12, 3]], 35/23887872], [[[1, 1], [2, 4], [4, 2], [8, 1], [28, 1]], 1/10752], [[[1, 1], [2, 4], [4, 2], [8, 1], [36, 1]], 5/82944], [[[1, 1], [2, 4], [4, 2], [8, 2], [10, 2]], 2281/4246732800], [[[1, 1], [2, 4], [4, 2], [8, 2], [12, 2]], 2281/2038431744], [[[1, 1], [2, 4], [4, 2], [8, 2], [15, 1]], 2281/212336640], [[[1, 1], [2, 4], [4, 2], [8, 2], [16, 1]], 31/196608], [[[1, 1], [2, 4], [4, 2], [8, 2], [20, 1]], 9193/141557760], [[[1, 1], [2, 4], [4, 2], [8, 2], [24, 1]], 5507/56623104], [[[1, 1], [2, 4], [4, 2], [8, 2], [30, 1]], 2281/212336640], [[[1, 1], [2, 4], [4, 2], [8, 3], [10, 1]], 1/1966080], [[[1, 1], [2, 4], [4, 2], [8, 3], [12, 1]], 11/5308416], [[[1, 1], [2, 4], [4, 2], [10, 1], [12, 3]], 77/149299200], [[[1, 1], [2, 4], [4, 2], [10, 1], [28, 1]], 11/134400], [[[1, 1], [2, 4], [4, 2], [10, 1], [36, 1]], 11/518400], [[[1, 1], [2, 4], [4, 2], [10, 2], [12, 2]], 13/6370099200], [[[1, 1], [2, 4], [4, 2], [10, 2], [15, 1]], 13/663552000], [[[1, 1], [2, 4], [4, 2], [10, 2], [20, 1]], 13/442368000], [[[1, 1], [2, 4], [4, 2], [10, 2], [24, 1]], 13/530841600], [[[1, 1], [2, 4], [4, 2], [10, 2], [30, 1]], 13/663552000], [[[1, 1], [2, 4], [4, 2], [10, 3], [12, 1]], 11/103680000], [[[1, 1], [2, 4], [4, 2], [12, 1], [14, 2]], 1/75264], [[[1, 1], [2, 4], [4, 2], [12, 1], [18, 2]], 7/3359232], [[[1, 1], [2, 4], [4, 2], [12, 1], [36, 1]], 13/3981312], [[[1, 1], [2, 4], [4, 2], [12, 2], [15, 1]], 13/318504960], [[[1, 1], [2, 4], [4, 2], [12, 2], [20, 1]], 13/212336640], [[[1, 1], [2, 4], [4, 2], [12, 2], [24, 1]], 169/254803968], [[[1, 1], [2, 4], [4, 2], [12, 2], [30, 1]], 13/318504960], [[[1, 1], [2, 4], [4, 2], [15, 1], [20, 1]], 13/22118400], [[[1, 1], [2, 4], [4, 2], [15, 1], [24, 1]], 13/26542080], [[[1, 1], [2, 4], [4, 2], [15, 1], [30, 1]], 13/2073600], [[[1, 1], [2, 4], [4, 2], [20, 1], [24, 1]], 13/17694720], [[[1, 1], [2, 4], [4, 2], [20, 1], [30, 1]], 13/22118400], [[[1, 1], [2, 4], [4, 2], [24, 1], [30, 1]], 13/26542080], [[[1, 1], [2, 4], [4, 3], [5, 1], [6, 5]], 1/7166361600], [[[1, 1], [2, 4], [4, 3], [5, 2], [6, 3]], 1/7166361600], [[[1, 1], [2, 4], [4, 3], [5, 2], [14, 1]], 1/25804800], [[[1, 1], [2, 4], [4, 3], [5, 2], [18, 1]], 1/99532800], [[[1, 1], [2, 4], [4, 3], [5, 3], [6, 1]], 1/27648000], [[[1, 1], [2, 4], [4, 3], [6, 1], [8, 3]], 1/1048576], [[[1, 1], [2, 4], [4, 3], [6, 1], [10, 3]], 1/18432000], [[[1, 1], [2, 4], [4, 3], [6, 1], [12, 3]], 1267/191102976], [[[1, 1], [2, 4], [4, 3], [6, 1], [18, 2]], 1/8957952], [[[1, 1], [2, 4], [4, 3], [6, 1], [28, 1]], 1/16128], [[[1, 1], [2, 4], [4, 3], [6, 1], [36, 1]], 1/41472], [[[1, 1], [2, 4], [4, 3], [6, 3], [8, 2]], 49/2293235712], [[[1, 1], [2, 4], [4, 3], [6, 3], [10, 2]], 1/7166361600], [[[1, 1], [2, 4], [4, 3], [6, 3], [12, 2]], 1303/3439853568], [[[1, 1], [2, 4], [4, 3], [6, 3], [15, 1]], 1/358318080], [[[1, 1], [2, 4], [4, 3], [6, 3], [16, 1]], 1/11943936], [[[1, 1], [2, 4], [4, 3], [6, 3], [20, 1]], 13/47775744], [[[1, 1], [2, 4], [4, 3], [6, 3], [24, 1]], 1/286654464], [[[1, 1], [2, 4], [4, 3], [6, 3], [30, 1]], 1/358318080], [[[1, 1], [2, 4], [4, 3], [6, 4], [14, 1]], 1/6688604160], [[[1, 1], [2, 4], [4, 3], [6, 4], [18, 1]], 41/25798901760], [[[1, 1], [2, 4], [4, 3], [6, 5], [8, 1]], 11/22932357120], [[[1, 1], [2, 4], [4, 3], [6, 5], [10, 1]], 1/4777574400], [[[1, 1], [2, 4], [4, 3], [6, 5], [12, 1]], 1/1274019840], [[[1, 1], [2, 4], [4, 3], [8, 2], [14, 1]], 7/1179648], [[[1, 1], [2, 4], [4, 3], [8, 2], [18, 1]], 49/31850496], [[[1, 1], [2, 4], [4, 3], [10, 2], [14, 1]], 1/25804800], [[[1, 1], [2, 4], [4, 3], [10, 2], [18, 1]], 1/99532800], [[[1, 1], [2, 4], [4, 3], [12, 2], [14, 1]], 55/1769472], [[[1, 1], [2, 4], [4, 3], [12, 2], [18, 1]], 385/47775744], [[[1, 1], [2, 4], [4, 3], [14, 1], [15, 1]], 1/1290240], [[[1, 1], [2, 4], [4, 3], [14, 1], [16, 1]], 1/43008], [[[1, 1], [2, 4], [4, 3], [14, 1], [20, 1]], 13/172032], [[[1, 1], [2, 4], [4, 3], [14, 1], [24, 1]], 1/1032192], [[[1, 1], [2, 4], [4, 3], [14, 1], [30, 1]], 1/1290240], [[[1, 1], [2, 4], [4, 3], [15, 1], [18, 1]], 1/4976640], [[[1, 1], [2, 4], [4, 3], [16, 1], [18, 1]], 1/165888], [[[1, 1], [2, 4], [4, 3], [18, 1], [20, 1]], 13/663552], [[[1, 1], [2, 4], [4, 3], [18, 1], [24, 1]], 1/3981312], [[[1, 1], [2, 4], [4, 3], [18, 1], [30, 1]], 1/4976640], [[[1, 1], [2, 4], [4, 4], [5, 2], [6, 2]], 187/143327232000], [[[1, 1], [2, 4], [4, 4], [5, 2], [8, 1]], 181/21233664000], [[[1, 1], [2, 4], [4, 4], [5, 2], [10, 1]], 11/66355200000], [[[1, 1], [2, 4], [4, 4], [5, 2], [12, 1]], 13/1592524800], [[[1, 1], [2, 4], [4, 4], [6, 2], [8, 2]], 1867/45864714240], [[[1, 1], [2, 4], [4, 4], [6, 2], [10, 2]], 167/28665446400], [[[1, 1], [2, 4], [4, 4], [6, 2], [12, 2]], 51403/68797071360], [[[1, 1], [2, 4], [4, 4], [6, 2], [15, 1]], 187/7166361600], [[[1, 1], [2, 4], [4, 4], [6, 2], [20, 1]], 115/191102976], [[[1, 1], [2, 4], [4, 4], [6, 2], [24, 1]], 187/5733089280], [[[1, 1], [2, 4], [4, 4], [6, 2], [30, 1]], 187/7166361600], [[[1, 1], [2, 4], [4, 4], [6, 3], [7, 1]], 1/20065812480], [[[1, 1], [2, 4], [4, 4], [6, 3], [9, 1]], 1/25798901760], [[[1, 1], [2, 4], [4, 4], [6, 3], [14, 1]], 1/4013162496], [[[1, 1], [2, 4], [4, 4], [6, 3], [18, 1]], 1129/77396705280], [[[1, 1], [2, 4], [4, 4], [6, 4], [8, 1]], 341/5503765708800], [[[1, 1], [2, 4], [4, 4], [6, 4], [10, 1]], 2011/17199267840000], [[[1, 1], [2, 4], [4, 4], [6, 4], [12, 1]], 1241/137594142720], [[[1, 1], [2, 4], [4, 4], [7, 1], [14, 1]], 1/72253440], [[[1, 1], [2, 4], [4, 4], [7, 1], [18, 1]], 1/278691840], [[[1, 1], [2, 4], [4, 4], [8, 1], [10, 2]], 181/21233664000], [[[1, 1], [2, 4], [4, 4], [8, 1], [12, 2]], 73141/10192158720], [[[1, 1], [2, 4], [4, 4], [8, 1], [15, 1]], 181/1061683200], [[[1, 1], [2, 4], [4, 4], [8, 1], [16, 1]], 61/9437184], [[[1, 1], [2, 4], [4, 4], [8, 1], [20, 1]], 2417/141557760], [[[1, 1], [2, 4], [4, 4], [8, 1], [24, 1]], 181/849346560], [[[1, 1], [2, 4], [4, 4], [8, 1], [30, 1]], 181/1061683200], [[[1, 1], [2, 4], [4, 4], [8, 2], [10, 1]], 2651/21233664000], [[[1, 1], [2, 4], [4, 4], [8, 2], [12, 1]], 7621/509607936], [[[1, 1], [2, 4], [4, 4], [9, 1], [14, 1]], 1/92897280], [[[1, 1], [2, 4], [4, 4], [9, 1], [18, 1]], 1/358318080], [[[1, 1], [2, 4], [4, 4], [10, 1], [12, 2]], 42251/31850496000], [[[1, 1], [2, 4], [4, 4], [10, 1], [15, 1]], 11/3317760000], [[[1, 1], [2, 4], [4, 4], [10, 1], [20, 1]], 847/442368000], [[[1, 1], [2, 4], [4, 4], [10, 1], [24, 1]], 11/2654208000], [[[1, 1], [2, 4], [4, 4], [10, 1], [30, 1]], 11/3317760000], [[[1, 1], [2, 4], [4, 4], [10, 2], [12, 1]], 13/1592524800], [[[1, 1], [2, 4], [4, 4], [12, 1], [15, 1]], 13/79626240], [[[1, 1], [2, 4], [4, 4], [12, 1], [20, 1]], 169/53084160], [[[1, 1], [2, 4], [4, 4], [12, 1], [24, 1]], 91/63700992], [[[1, 1], [2, 4], [4, 4], [12, 1], [30, 1]], 13/79626240], [[[1, 1], [2, 4], [4, 4], [14, 1], [18, 1]], 1/55738368], [[[1, 1], [2, 4], [4, 5], [5, 1], [6, 3]], 1/28665446400], [[[1, 1], [2, 4], [4, 5], [5, 1], [14, 1]], 1/103219200], [[[1, 1], [2, 4], [4, 5], [5, 1], [18, 1]], 1/398131200], [[[1, 1], [2, 4], [4, 5], [5, 2], [6, 1]], 7/3538944000], [[[1, 1], [2, 4], [4, 5], [6, 1], [8, 2]], 409/1132462080], [[[1, 1], [2, 4], [4, 5], [6, 1], [10, 2]], 23/3538944000], [[[1, 1], [2, 4], [4, 5], [6, 1], [12, 2]], 12901/5096079360], [[[1, 1], [2, 4], [4, 5], [6, 1], [15, 1]], 7/176947200], [[[1, 1], [2, 4], [4, 5], [6, 1], [16, 1]], 1/884736], [[[1, 1], [2, 4], [4, 5], [6, 1], [20, 1]], 337/70778880], [[[1, 1], [2, 4], [4, 5], [6, 1], [24, 1]], 7/141557760], [[[1, 1], [2, 4], [4, 5], [6, 1], [30, 1]], 7/176947200], [[[1, 1], [2, 4], [4, 5], [6, 2], [18, 1]], 7/318504960], [[[1, 1], [2, 4], [4, 5], [6, 3], [8, 1]], 103/45864714240], [[[1, 1], [2, 4], [4, 5], [6, 3], [10, 1]], 1/28665446400], [[[1, 1], [2, 4], [4, 5], [6, 3], [12, 1]], 1247/137594142720], [[[1, 1], [2, 4], [4, 5], [7, 1], [8, 1]], 1/330301440], [[[1, 1], [2, 4], [4, 5], [8, 1], [9, 1]], 1/424673280], [[[1, 1], [2, 4], [4, 5], [8, 1], [14, 1]], 17/27525120], [[[1, 1], [2, 4], [4, 5], [8, 1], [18, 1]], 103/637009920], [[[1, 1], [2, 4], [4, 5], [10, 1], [14, 1]], 1/103219200], [[[1, 1], [2, 4], [4, 5], [10, 1], [18, 1]], 1/398131200], [[[1, 1], [2, 4], [4, 5], [12, 1], [14, 1]], 17/12386304], [[[1, 1], [2, 4], [4, 5], [12, 1], [18, 1]], 17/47775744], [[[1, 1], [2, 4], [4, 6], [5, 1], [8, 1]], 1/471859200], [[[1, 1], [2, 4], [4, 6], [6, 1], [7, 1]], 1/1486356480], [[[1, 1], [2, 4], [4, 6], [6, 1], [9, 1]], 1/1911029760], [[[1, 1], [2, 4], [4, 6], [6, 1], [14, 1]], 1/743178240], [[[1, 1], [2, 4], [4, 6], [6, 1], [18, 1]], 77/91729428480], [[[1, 1], [2, 4], [4, 6], [6, 2], [8, 1]], 1/2548039680], [[[1, 1], [2, 4], [4, 6], [6, 2], [10, 1]], 1/1592524800], [[[1, 1], [2, 4], [4, 6], [6, 2], [12, 1]], 179551/13209037701120], [[[1, 1], [2, 4], [4, 6], [8, 1], [10, 1]], 1/471859200], [[[1, 1], [2, 4], [4, 6], [8, 1], [12, 1]], 1157/3822059520], [[[1, 1], [2, 4], [4, 6], [10, 1], [12, 1]], 209/23887872000], [[[1, 1], [2, 4], [4, 7], [5, 1], [6, 1]], 1/2123366400], [[[1, 1], [2, 4], [4, 7], [6, 1], [8, 1]], 203/6794772480], [[[1, 1], [2, 4], [4, 7], [6, 1], [10, 1]], 127/89181388800], [[[1, 1], [2, 4], [4, 7], [6, 1], [12, 1]], 5143/71345111040], [[[1, 1], [2, 4], [5, 2], [6, 2], [8, 2]], 7/597196800], [[[1, 1], [2, 4], [5, 2], [6, 2], [10, 2]], 551/373248000], [[[1, 1], [2, 4], [5, 2], [6, 2], [12, 2]], 133/895795200], [[[1, 1], [2, 4], [5, 2], [6, 2], [15, 1]], 7/93312000], [[[1, 1], [2, 4], [5, 2], [6, 2], [20, 1]], 7/62208000], [[[1, 1], [2, 4], [5, 2], [6, 2], [24, 1]], 7/74649600], [[[1, 1], [2, 4], [5, 2], [6, 2], [30, 1]], 7/93312000], [[[1, 1], [2, 4], [5, 2], [6, 3], [7, 1]], 1/261273600], [[[1, 1], [2, 4], [5, 2], [6, 3], [9, 1]], 1/335923200], [[[1, 1], [2, 4], [5, 2], [6, 3], [14, 1]], 1/52254720], [[[1, 1], [2, 4], [5, 2], [6, 3], [18, 1]], 49/1007769600], [[[1, 1], [2, 4], [5, 2], [6, 4], [8, 1]], 161/71663616000], [[[1, 1], [2, 4], [5, 2], [6, 4], [10, 1]], 2011/223948800000], [[[1, 1], [2, 4], [5, 2], [6, 4], [12, 1]], 7/537477120], [[[1, 1], [2, 4], [5, 2], [7, 1], [14, 1]], 1/940800], [[[1, 1], [2, 4], [5, 2], [7, 1], [18, 1]], 1/3628800], [[[1, 1], [2, 4], [5, 2], [8, 1], [10, 2]], 301/276480000], [[[1, 1], [2, 4], [5, 2], [8, 1], [12, 2]], 1/132710400], [[[1, 1], [2, 4], [5, 2], [8, 1], [15, 1]], 1/13824000], [[[1, 1], [2, 4], [5, 2], [8, 1], [20, 1]], 1/9216000], [[[1, 1], [2, 4], [5, 2], [8, 1], [24, 1]], 1/11059200], [[[1, 1], [2, 4], [5, 2], [8, 1], [30, 1]], 1/13824000], [[[1, 1], [2, 4], [5, 2], [8, 2], [10, 1]], 11/276480000], [[[1, 1], [2, 4], [5, 2], [9, 1], [14, 1]], 1/1209600], [[[1, 1], [2, 4], [5, 2], [9, 1], [18, 1]], 1/4665600], [[[1, 1], [2, 4], [5, 2], [10, 1], [12, 2]], 11/414720000], [[[1, 1], [2, 4], [5, 2], [10, 1], [15, 1]], 11/43200000], [[[1, 1], [2, 4], [5, 2], [10, 1], [20, 1]], 11/28800000], [[[1, 1], [2, 4], [5, 2], [10, 1], [24, 1]], 11/34560000], [[[1, 1], [2, 4], [5, 2], [10, 1], [30, 1]], 11/43200000], [[[1, 1], [2, 4], [5, 2], [14, 1], [18, 1]], 1/725760], [[[1, 1], [2, 4], [6, 1], [7, 1], [10, 3]], 1/2016000], [[[1, 1], [2, 4], [6, 1], [7, 1], [12, 3]], 1/2322432], [[[1, 1], [2, 4], [6, 1], [7, 1], [18, 2]], 1/326592], [[[1, 1], [2, 4], [6, 1], [8, 3], [14, 1]], 1/516096], [[[1, 1], [2, 4], [6, 1], [8, 3], [18, 1]], 5/7962624], [[[1, 1], [2, 4], [6, 1], [9, 1], [10, 3]], 1/2592000], [[[1, 1], [2, 4], [6, 1], [9, 1], [12, 3]], 1/2985984], [[[1, 1], [2, 4], [6, 1], [9, 1], [18, 2]], 1/419904], [[[1, 1], [2, 4], [6, 1], [10, 3], [14, 1]], 1/672000], [[[1, 1], [2, 4], [6, 1], [10, 3], [18, 1]], 61/77760000], [[[1, 1], [2, 4], [6, 1], [12, 3], [14, 1]], 5/2322432], [[[1, 1], [2, 4], [6, 1], [12, 3], [18, 1]], 7/8957952], [[[1, 1], [2, 4], [6, 1], [14, 1], [18, 2]], 5/326592], [[[1, 1], [2, 4], [6, 1], [14, 2], [18, 1]], 1/56448], [[[1, 1], [2, 4], [6, 2], [8, 1], [10, 3]], 1/3456000], [[[1, 1], [2, 4], [6, 2], [8, 1], [12, 3]], 17/63700992], [[[1, 1], [2, 4], [6, 2], [8, 1], [18, 2]], 1/497664], [[[1, 1], [2, 4], [6, 2], [8, 2], [10, 2]], 131/119439360], [[[1, 1], [2, 4], [6, 2], [8, 2], [12, 2]], 133/286654464], [[[1, 1], [2, 4], [6, 2], [8, 2], [15, 1]], 7/29859840], [[[1, 1], [2, 4], [6, 2], [8, 2], [20, 1]], 7/19906560], [[[1, 1], [2, 4], [6, 2], [8, 2], [24, 1]], 77/7962624], [[[1, 1], [2, 4], [6, 2], [8, 2], [30, 1]], 7/29859840], [[[1, 1], [2, 4], [6, 2], [8, 3], [10, 1]], 1/1105920], [[[1, 1], [2, 4], [6, 2], [8, 3], [12, 1]], 17/42467328], [[[1, 1], [2, 4], [6, 2], [10, 1], [12, 3]], 211/199065600], [[[1, 1], [2, 4], [6, 2], [10, 1], [18, 2]], 37/4665600], [[[1, 1], [2, 4], [6, 2], [10, 2], [12, 2]], 781/895795200], [[[1, 1], [2, 4], [6, 2], [10, 2], [15, 1]], 131/18662400], [[[1, 1], [2, 4], [6, 2], [10, 2], [20, 1]], 131/12441600], [[[1, 1], [2, 4], [6, 2], [10, 2], [24, 1]], 131/14929920], [[[1, 1], [2, 4], [6, 2], [10, 2], [30, 1]], 131/18662400], [[[1, 1], [2, 4], [6, 2], [10, 3], [12, 1]], 211/414720000], [[[1, 1], [2, 4], [6, 2], [12, 1], [14, 2]], 1/301056], [[[1, 1], [2, 4], [6, 2], [12, 1], [18, 2]], 7/1492992], [[[1, 1], [2, 4], [6, 2], [12, 1], [36, 1]], 7/559872], [[[1, 1], [2, 4], [6, 2], [12, 2], [15, 1]], 133/44789760], [[[1, 1], [2, 4], [6, 2], [12, 2], [20, 1]], 133/29859840], [[[1, 1], [2, 4], [6, 2], [12, 2], [24, 1]], 217/35831808], [[[1, 1], [2, 4], [6, 2], [12, 2], [30, 1]], 133/44789760], [[[1, 1], [2, 4], [6, 2], [15, 1], [20, 1]], 7/3110400], [[[1, 1], [2, 4], [6, 2], [15, 1], [24, 1]], 7/3732480], [[[1, 1], [2, 4], [6, 2], [15, 1], [30, 1]], 7/291600], [[[1, 1], [2, 4], [6, 2], [20, 1], [24, 1]], 7/2488320], [[[1, 1], [2, 4], [6, 2], [20, 1], [30, 1]], 7/3110400], [[[1, 1], [2, 4], [6, 2], [24, 1], [30, 1]], 7/3732480], [[[1, 1], [2, 4], [6, 3], [7, 1], [8, 2]], 1/83607552], [[[1, 1], [2, 4], [6, 3], [7, 1], [10, 2]], 1/261273600], [[[1, 1], [2, 4], [6, 3], [7, 1], [12, 2]], 55/125411328], [[[1, 1], [2, 4], [6, 3], [7, 1], [15, 1]], 1/13063680], [[[1, 1], [2, 4], [6, 3], [7, 1], [20, 1]], 1/8709120], [[[1, 1], [2, 4], [6, 3], [7, 1], [24, 1]], 1/10450944], [[[1, 1], [2, 4], [6, 3], [7, 1], [30, 1]], 1/13063680], [[[1, 1], [2, 4], [6, 3], [8, 2], [9, 1]], 1/107495424], [[[1, 1], [2, 4], [6, 3], [8, 2], [14, 1]], 5/83607552], [[[1, 1], [2, 4], [6, 3], [8, 2], [18, 1]], 49/322486272], [[[1, 1], [2, 4], [6, 3], [9, 1], [10, 2]], 1/335923200], [[[1, 1], [2, 4], [6, 3], [9, 1], [12, 2]], 55/161243136], [[[1, 1], [2, 4], [6, 3], [9, 1], [15, 1]], 1/16796160], [[[1, 1], [2, 4], [6, 3], [9, 1], [20, 1]], 1/11197440], [[[1, 1], [2, 4], [6, 3], [9, 1], [24, 1]], 1/13436928], [[[1, 1], [2, 4], [6, 3], [9, 1], [30, 1]], 1/16796160], [[[1, 1], [2, 4], [6, 3], [10, 2], [14, 1]], 1/52254720], [[[1, 1], [2, 4], [6, 3], [10, 2], [18, 1]], 3937/1007769600], [[[1, 1], [2, 4], [6, 3], [12, 2], [14, 1]], 275/125411328], [[[1, 1], [2, 4], [6, 3], [12, 2], [18, 1]], 1183/483729408], [[[1, 1], [2, 4], [6, 3], [14, 1], [15, 1]], 1/2612736], [[[1, 1], [2, 4], [6, 3], [14, 1], [20, 1]], 1/1741824], [[[1, 1], [2, 4], [6, 3], [14, 1], [24, 1]], 5/10450944], [[[1, 1], [2, 4], [6, 3], [14, 1], [30, 1]], 1/2612736], [[[1, 1], [2, 4], [6, 3], [15, 1], [18, 1]], 49/50388480], [[[1, 1], [2, 4], [6, 3], [18, 1], [20, 1]], 49/33592320], [[[1, 1], [2, 4], [6, 3], [18, 1], [24, 1]], 49/40310784], [[[1, 1], [2, 4], [6, 3], [18, 1], [30, 1]], 49/50388480], [[[1, 1], [2, 4], [6, 4], [7, 1], [14, 1]], 1/243855360], [[[1, 1], [2, 4], [6, 4], [7, 1], [18, 1]], 41/940584960], [[[1, 1], [2, 4], [6, 4], [8, 1], [10, 2]], 161/71663616000], [[[1, 1], [2, 4], [6, 4], [8, 1], [12, 2]], 9071/34398535680], [[[1, 1], [2, 4], [6, 4], [8, 1], [15, 1]], 161/3583180800], [[[1, 1], [2, 4], [6, 4], [8, 1], [20, 1]], 161/2388787200], [[[1, 1], [2, 4], [6, 4], [8, 1], [24, 1]], 161/2866544640], [[[1, 1], [2, 4], [6, 4], [8, 1], [30, 1]], 161/3583180800], [[[1, 1], [2, 4], [6, 4], [8, 2], [10, 1]], 2011/71663616000], [[[1, 1], [2, 4], [6, 4], [8, 2], [12, 1]], 35/859963392], [[[1, 1], [2, 4], [6, 4], [9, 1], [14, 1]], 1/313528320], [[[1, 1], [2, 4], [6, 4], [9, 1], [18, 1]], 41/1209323520], [[[1, 1], [2, 4], [6, 4], [10, 1], [12, 2]], 112981/107495424000], [[[1, 1], [2, 4], [6, 4], [10, 1], [15, 1]], 2011/11197440000], [[[1, 1], [2, 4], [6, 4], [10, 1], [20, 1]], 2011/7464960000], [[[1, 1], [2, 4], [6, 4], [10, 1], [24, 1]], 2011/8957952000], [[[1, 1], [2, 4], [6, 4], [10, 1], [30, 1]], 1557211/11197440000], [[[1, 1], [2, 4], [6, 4], [10, 2], [12, 1]], 1979/2687385600], [[[1, 1], [2, 4], [6, 4], [12, 1], [15, 1]], 7/26873856], [[[1, 1], [2, 4], [6, 4], [12, 1], [20, 1]], 7/17915904], [[[1, 1], [2, 4], [6, 4], [12, 1], [24, 1]], 35/107495424], [[[1, 1], [2, 4], [6, 4], [12, 1], [30, 1]], 7/26873856], [[[1, 1], [2, 4], [6, 4], [14, 1], [18, 1]], 41/188116992], [[[1, 1], [2, 4], [6, 5], [7, 1], [10, 1]], 1/522547200], [[[1, 1], [2, 4], [6, 5], [7, 1], [12, 1]], 11/1254113280], [[[1, 1], [2, 4], [6, 5], [8, 1], [14, 1]], 1/418037760], [[[1, 1], [2, 4], [6, 5], [8, 1], [18, 1]], 11/429981696], [[[1, 1], [2, 4], [6, 5], [9, 1], [10, 1]], 1/671846400], [[[1, 1], [2, 4], [6, 5], [9, 1], [12, 1]], 11/1612431360], [[[1, 1], [2, 4], [6, 5], [10, 1], [14, 1]], 1/174182400], [[[1, 1], [2, 4], [6, 5], [10, 1], [18, 1]], 229/2239488000], [[[1, 1], [2, 4], [6, 5], [12, 1], [14, 1]], 11/250822656], [[[1, 1], [2, 4], [6, 5], [12, 1], [18, 1]], 259/1612431360], [[[1, 1], [2, 4], [6, 6], [8, 1], [10, 1]], 1/895795200], [[[1, 1], [2, 4], [6, 6], [8, 1], [12, 1]], 59/11466178560], [[[1, 1], [2, 4], [6, 6], [10, 1], [12, 1]], 737/35831808000], [[[1, 1], [2, 4], [7, 1], [8, 2], [14, 1]], 1/301056], [[[1, 1], [2, 4], [7, 1], [8, 2], [18, 1]], 1/1161216], [[[1, 1], [2, 4], [7, 1], [10, 2], [14, 1]], 1/940800], [[[1, 1], [2, 4], [7, 1], [10, 2], [18, 1]], 1/3628800], [[[1, 1], [2, 4], [7, 1], [12, 2], [14, 1]], 1/451584], [[[1, 1], [2, 4], [7, 1], [12, 2], [18, 1]], 1/1741824], [[[1, 1], [2, 4], [7, 1], [14, 1], [15, 1]], 1/47040], [[[1, 1], [2, 4], [7, 1], [14, 1], [20, 1]], 1/31360], [[[1, 1], [2, 4], [7, 1], [14, 1], [24, 1]], 1/37632], [[[1, 1], [2, 4], [7, 1], [14, 1], [30, 1]], 1/47040], [[[1, 1], [2, 4], [7, 1], [15, 1], [18, 1]], 1/181440], [[[1, 1], [2, 4], [7, 1], [18, 1], [20, 1]], 1/120960], [[[1, 1], [2, 4], [7, 1], [18, 1], [24, 1]], 1/145152], [[[1, 1], [2, 4], [7, 1], [18, 1], [30, 1]], 1/181440], [[[1, 1], [2, 4], [8, 1], [10, 2], [12, 2]], 1/132710400], [[[1, 1], [2, 4], [8, 1], [10, 2], [15, 1]], 1/13824000], [[[1, 1], [2, 4], [8, 1], [10, 2], [20, 1]], 1/9216000], [[[1, 1], [2, 4], [8, 1], [10, 2], [24, 1]], 1/11059200], [[[1, 1], [2, 4], [8, 1], [10, 2], [30, 1]], 1/13824000], [[[1, 1], [2, 4], [8, 1], [12, 1], [36, 1]], 1/82944], [[[1, 1], [2, 4], [8, 1], [12, 2], [15, 1]], 1/6635520], [[[1, 1], [2, 4], [8, 1], [12, 2], [20, 1]], 1/4423680], [[[1, 1], [2, 4], [8, 1], [12, 2], [24, 1]], 13/5308416], [[[1, 1], [2, 4], [8, 1], [12, 2], [30, 1]], 1/6635520], [[[1, 1], [2, 4], [8, 1], [15, 1], [20, 1]], 1/460800], [[[1, 1], [2, 4], [8, 1], [15, 1], [24, 1]], 1/552960], [[[1, 1], [2, 4], [8, 1], [15, 1], [30, 1]], 1/43200], [[[1, 1], [2, 4], [8, 1], [20, 1], [24, 1]], 1/368640], [[[1, 1], [2, 4], [8, 1], [20, 1], [30, 1]], 1/460800], [[[1, 1], [2, 4], [8, 1], [24, 1], [30, 1]], 1/552960], [[[1, 1], [2, 4], [8, 2], [9, 1], [14, 1]], 1/387072], [[[1, 1], [2, 4], [8, 2], [9, 1], [18, 1]], 1/1492992], [[[1, 1], [2, 4], [8, 2], [10, 1], [12, 2]], 11/132710400], [[[1, 1], [2, 4], [8, 2], [10, 1], [15, 1]], 11/13824000], [[[1, 1], [2, 4], [8, 2], [10, 1], [20, 1]], 11/9216000], [[[1, 1], [2, 4], [8, 2], [10, 1], [24, 1]], 121/3686400], [[[1, 1], [2, 4], [8, 2], [10, 1], [30, 1]], 11/13824000], [[[1, 1], [2, 4], [8, 2], [14, 1], [18, 1]], 5/1161216], [[[1, 1], [2, 4], [9, 1], [10, 2], [14, 1]], 1/1209600], [[[1, 1], [2, 4], [9, 1], [10, 2], [18, 1]], 1/4665600], [[[1, 1], [2, 4], [9, 1], [12, 2], [14, 1]], 1/580608], [[[1, 1], [2, 4], [9, 1], [12, 2], [18, 1]], 1/2239488], [[[1, 1], [2, 4], [9, 1], [14, 1], [15, 1]], 1/60480], [[[1, 1], [2, 4], [9, 1], [14, 1], [20, 1]], 1/40320], [[[1, 1], [2, 4], [9, 1], [14, 1], [24, 1]], 1/48384], [[[1, 1], [2, 4], [9, 1], [14, 1], [30, 1]], 1/60480], [[[1, 1], [2, 4], [9, 1], [15, 1], [18, 1]], 1/233280], [[[1, 1], [2, 4], [9, 1], [18, 1], [20, 1]], 1/155520], [[[1, 1], [2, 4], [9, 1], [18, 1], [24, 1]], 1/186624], [[[1, 1], [2, 4], [9, 1], [18, 1], [30, 1]], 1/233280], [[[1, 1], [2, 4], [10, 1], [12, 1], [36, 1]], 11/259200], [[[1, 1], [2, 4], [10, 1], [12, 2], [15, 1]], 11/20736000], [[[1, 1], [2, 4], [10, 1], [12, 2], [20, 1]], 11/13824000], [[[1, 1], [2, 4], [10, 1], [12, 2], [24, 1]], 143/16588800], [[[1, 1], [2, 4], [10, 1], [12, 2], [30, 1]], 11/20736000], [[[1, 1], [2, 4], [10, 1], [15, 1], [20, 1]], 11/1440000], [[[1, 1], [2, 4], [10, 1], [15, 1], [24, 1]], 11/1728000], [[[1, 1], [2, 4], [10, 1], [15, 1], [30, 1]], 11/135000], [[[1, 1], [2, 4], [10, 1], [20, 1], [24, 1]], 11/1152000], [[[1, 1], [2, 4], [10, 1], [20, 1], [30, 1]], 11/1440000], [[[1, 1], [2, 4], [10, 1], [24, 1], [30, 1]], 11/1728000], [[[1, 1], [2, 4], [10, 2], [14, 1], [18, 1]], 1/725760], [[[1, 1], [2, 4], [12, 2], [14, 1], [18, 1]], 5/1741824], [[[1, 1], [2, 4], [14, 1], [15, 1], [18, 1]], 1/36288], [[[1, 1], [2, 4], [14, 1], [18, 1], [20, 1]], 1/24192], [[[1, 1], [2, 4], [14, 1], [18, 1], [24, 1]], 5/145152], [[[1, 1], [2, 4], [14, 1], [18, 1], [30, 1]], 1/36288], [[[1, 1], [2, 6], [3, 1], [4, 1], [6, 7]], 7/92876046336], [[[1, 1], [2, 6], [3, 1], [4, 2], [5, 3]], 1/1327104000], [[[1, 1], [2, 6], [3, 1], [4, 2], [6, 6]], 47/110075314176], [[[1, 1], [2, 6], [3, 1], [4, 2], [8, 3]], 121/339738624], [[[1, 1], [2, 6], [3, 1], [4, 2], [9, 2]], 1/71663616], [[[1, 1], [2, 6], [3, 1], [4, 2], [12, 3]], 1/509607936], [[[1, 1], [2, 6], [3, 1], [4, 3], [6, 5]], 43/27518828544], [[[1, 1], [2, 6], [3, 1], [4, 4], [6, 4]], 109/41278242816], [[[1, 1], [2, 6], [3, 1], [4, 4], [12, 2]], 1/127401984], [[[1, 1], [2, 6], [3, 1], [4, 5], [6, 3]], 869/82556485632], [[[1, 1], [2, 6], [3, 1], [4, 5], [9, 1]], 17/25480396800], [[[1, 1], [2, 6], [3, 1], [4, 5], [14, 1]], 1/1486356480], [[[1, 1], [2, 6], [3, 1], [4, 5], [18, 1]], 1/5733089280], [[[1, 1], [2, 6], [3, 1], [4, 6], [5, 1]], 1/101921587200], [[[1, 1], [2, 6], [3, 1], [4, 6], [6, 2]], 13/97844723712], [[[1, 1], [2, 6], [3, 1], [4, 6], [8, 1]], 13/81537269760], [[[1, 1], [2, 6], [3, 1], [4, 6], [12, 1]], 1/81537269760], [[[1, 1], [2, 6], [3, 1], [4, 7], [6, 1]], 1/24461180928], [[[1, 1], [2, 6], [3, 1], [5, 1], [6, 6]], 13/145118822400], [[[1, 1], [2, 6], [3, 1], [5, 1], [10, 3]], 1/86400000], [[[1, 1], [2, 6], [3, 1], [5, 1], [14, 2]], 1/188160], [[[1, 1], [2, 6], [3, 1], [5, 1], [18, 2]], 1/2799360], [[[1, 1], [2, 6], [3, 1], [5, 2], [6, 4]], 1/537477120], [[[1, 1], [2, 6], [3, 1], [5, 3], [6, 2]], 1/186624000], [[[1, 1], [2, 6], [3, 1], [5, 3], [10, 1]], 1/86400000], [[[1, 1], [2, 6], [3, 1], [6, 2], [8, 3]], 1/47775744], [[[1, 1], [2, 6], [3, 1], [6, 2], [9, 2]], 1/10077696], [[[1, 1], [2, 6], [3, 1], [6, 2], [10, 3]], 41/414720000], [[[1, 1], [2, 6], [3, 1], [6, 2], [12, 3]], 25/71663616], [[[1, 1], [2, 6], [3, 1], [6, 2], [14, 2]], 1/903168], [[[1, 1], [2, 6], [3, 1], [6, 2], [18, 2]], 1/1492992], [[[1, 1], [2, 6], [3, 1], [6, 4], [8, 2]], 5/859963392], [[[1, 1], [2, 6], [3, 1], [6, 4], [10, 2]], 653/2687385600], [[[1, 1], [2, 6], [3, 1], [6, 4], [12, 2]], 197/1289945088], [[[1, 1], [2, 6], [3, 1], [6, 4], [15, 1]], 1/26873856], [[[1, 1], [2, 6], [3, 1], [6, 4], [20, 1]], 1/17915904], [[[1, 1], [2, 6], [3, 1], [6, 4], [24, 1]], 5/107495424], [[[1, 1], [2, 6], [3, 1], [6, 4], [30, 1]], 1/26873856], [[[1, 1], [2, 6], [3, 1], [6, 5], [9, 1]], 24037/5224277606400], [[[1, 1], [2, 6], [3, 1], [6, 5], [14, 1]], 11/1254113280], [[[1, 1], [2, 6], [3, 1], [6, 5], [18, 1]], 31141/1612431360], [[[1, 1], [2, 6], [3, 1], [6, 6], [8, 1]], 13/116095057920], [[[1, 1], [2, 6], [3, 1], [6, 6], [10, 1]], 49/11943936000], [[[1, 1], [2, 6], [3, 1], [6, 6], [12, 1]], 661/116095057920], [[[1, 1], [2, 6], [3, 1], [8, 1], [10, 3]], 1/69120000], [[[1, 1], [2, 6], [3, 1], [8, 1], [14, 2]], 1/150528], [[[1, 1], [2, 6], [3, 1], [8, 1], [18, 2]], 1/2239488], [[[1, 1], [2, 6], [3, 1], [8, 3], [10, 1]], 1/22118400], [[[1, 1], [2, 6], [3, 1], [9, 2], [10, 1]], 1/4665600], [[[1, 1], [2, 6], [3, 1], [10, 1], [12, 3]], 1/33177600], [[[1, 1], [2, 6], [3, 1], [10, 3], [12, 1]], 1/69120000], [[[1, 1], [2, 6], [3, 1], [12, 1], [14, 2]], 1/150528], [[[1, 1], [2, 6], [3, 1], [12, 1], [18, 2]], 1/2239488], [[[1, 1], [2, 6], [3, 2], [4, 1], [6, 6]], 587/2751882854400], [[[1, 1], [2, 6], [3, 2], [4, 1], [9, 2]], 1/179159040], [[[1, 1], [2, 6], [3, 2], [4, 1], [12, 3]], 1/2548039680], [[[1, 1], [2, 6], [3, 2], [4, 2], [6, 5]], 79/34398535680], [[[1, 1], [2, 6], [3, 2], [4, 3], [6, 4]], 59/20639121408], [[[1, 1], [2, 6], [3, 2], [4, 3], [12, 2]], 7/1274019840], [[[1, 1], [2, 6], [3, 2], [4, 4], [6, 3]], 192787/49533891379200], [[[1, 1], [2, 6], [3, 2], [4, 5], [6, 2]], 379/271790899200], [[[1, 1], [2, 6], [3, 2], [4, 5], [12, 1]], 17/135895449600], [[[1, 1], [2, 6], [3, 2], [4, 6], [6, 1]], 1/91729428480], [[[1, 1], [2, 6], [3, 2], [5, 2], [6, 3]], 2437/644972544000], [[[1, 1], [2, 6], [3, 2], [6, 1], [8, 3]], 1/127401984], [[[1, 1], [2, 6], [3, 2], [6, 1], [9, 2]], 37/3627970560], [[[1, 1], [2, 6], [3, 2], [6, 1], [10, 3]], 7/622080000], [[[1, 1], [2, 6], [3, 2], [6, 1], [12, 3]], 37/51597803520], [[[1, 1], [2, 6], [3, 2], [6, 1], [14, 2]], 1/451584], [[[1, 1], [2, 6], [3, 2], [6, 1], [18, 2]], 5/20155392], [[[1, 1], [2, 6], [3, 2], [6, 3], [8, 2]], 2437/206391214080], [[[1, 1], [2, 6], [3, 2], [6, 3], [10, 2]], 344581/644972544000], [[[1, 1], [2, 6], [3, 2], [6, 3], [12, 2]], 65587/309586821120], [[[1, 1], [2, 6], [3, 2], [6, 3], [15, 1]], 2437/32248627200], [[[1, 1], [2, 6], [3, 2], [6, 3], [20, 1]], 2437/21499084800], [[[1, 1], [2, 6], [3, 2], [6, 3], [24, 1]], 5101/25798901760], [[[1, 1], [2, 6], [3, 2], [6, 3], [30, 1]], 2437/32248627200], [[[1, 1], [2, 6], [3, 2], [6, 4], [7, 1]], 5/752467968], [[[1, 1], [2, 6], [3, 2], [6, 4], [9, 1]], 25/967458816], [[[1, 1], [2, 6], [3, 2], [6, 4], [14, 1]], 5/94058496], [[[1, 1], [2, 6], [3, 2], [6, 4], [18, 1]], 3437/58047528960], [[[1, 1], [2, 6], [3, 2], [6, 5], [8, 1]], 137/34398535680], [[[1, 1], [2, 6], [3, 2], [6, 5], [10, 1]], 151/5971968000], [[[1, 1], [2, 6], [3, 2], [6, 5], [12, 1]], 603367/27862813900800], [[[1, 1], [2, 6], [3, 3], [4, 1], [6, 5]], 2057/51597803520], [[[1, 1], [2, 6], [3, 3], [4, 2], [5, 2]], 1/57330892800], [[[1, 1], [2, 6], [3, 3], [4, 2], [6, 4]], 105131/14860167413760], [[[1, 1], [2, 6], [3, 3], [4, 2], [8, 2]], 109/18345885696], [[[1, 1], [2, 6], [3, 3], [4, 2], [10, 2]], 1/57330892800], [[[1, 1], [2, 6], [3, 3], [4, 2], [12, 2]], 55/27518828544], [[[1, 1], [2, 6], [3, 3], [4, 2], [15, 1]], 1/2866544640], [[[1, 1], [2, 6], [3, 3], [4, 2], [20, 1]], 1/1911029760], [[[1, 1], [2, 6], [3, 3], [4, 2], [24, 1]], 1/2293235712], [[[1, 1], [2, 6], [3, 3], [4, 2], [30, 1]], 1/2866544640], [[[1, 1], [2, 6], [3, 3], [4, 3], [6, 3]], 31/1528823808], [[[1, 1], [2, 6], [3, 3], [4, 4], [6, 2]], 47/123834728448], [[[1, 1], [2, 6], [3, 3], [4, 4], [10, 1]], 1/286654464000], [[[1, 1], [2, 6], [3, 3], [4, 4], [12, 1]], 1/6879707136], [[[1, 1], [2, 6], [3, 3], [4, 5], [6, 1]], 1/45864714240], [[[1, 1], [2, 6], [3, 3], [5, 1], [6, 4]], 1/322486272], [[[1, 1], [2, 6], [3, 3], [5, 2], [6, 2]], 11/1612431360], [[[1, 1], [2, 6], [3, 3], [5, 2], [10, 1]], 1/3732480000], [[[1, 1], [2, 6], [3, 3], [6, 2], [8, 2]], 55/2579890176], [[[1, 1], [2, 6], [3, 3], [6, 2], [10, 2]], 271/8062156800], [[[1, 1], [2, 6], [3, 3], [6, 2], [12, 2]], 775/3869835264], [[[1, 1], [2, 6], [3, 3], [6, 2], [15, 1]], 11/80621568], [[[1, 1], [2, 6], [3, 3], [6, 2], [20, 1]], 11/53747712], [[[1, 1], [2, 6], [3, 3], [6, 2], [24, 1]], 55/322486272], [[[1, 1], [2, 6], [3, 3], [6, 2], [30, 1]], 11/80621568], [[[1, 1], [2, 6], [3, 3], [6, 3], [9, 1]], 2437/58047528960], [[[1, 1], [2, 6], [3, 3], [6, 3], [14, 1]], 163/1128701952], [[[1, 1], [2, 6], [3, 3], [6, 3], [18, 1]], 493/4353564672], [[[1, 1], [2, 6], [3, 3], [6, 4], [8, 1]], 5/1289945088], [[[1, 1], [2, 6], [3, 3], [6, 4], [10, 1]], 66011/967458816000], [[[1, 1], [2, 6], [3, 3], [6, 4], [12, 1]], 581/11609505792], [[[1, 1], [2, 6], [3, 3], [8, 2], [10, 1]], 1/1194393600], [[[1, 1], [2, 6], [3, 3], [10, 1], [12, 2]], 11/358318080], [[[1, 1], [2, 6], [3, 3], [10, 1], [15, 1]], 1/186624000], [[[1, 1], [2, 6], [3, 3], [10, 1], [20, 1]], 1/124416000], [[[1, 1], [2, 6], [3, 3], [10, 1], [24, 1]], 1/149299200], [[[1, 1], [2, 6], [3, 3], [10, 1], [30, 1]], 1/186624000], [[[1, 1], [2, 6], [3, 3], [14, 1], [18, 1]], 1/15676416], [[[1, 1], [2, 6], [3, 4], [4, 1], [5, 2]], 1/2866544640000], [[[1, 1], [2, 6], [3, 4], [4, 1], [6, 4]], 1379411/743008370688000], [[[1, 1], [2, 6], [3, 4], [4, 1], [8, 2]], 61/917294284800], [[[1, 1], [2, 6], [3, 4], [4, 1], [10, 2]], 193/2866544640000], [[[1, 1], [2, 6], [3, 4], [4, 1], [12, 2]], 271/1375941427200], [[[1, 1], [2, 6], [3, 4], [4, 1], [15, 1]], 1/143327232000], [[[1, 1], [2, 6], [3, 4], [4, 1], [20, 1]], 1/95551488000], [[[1, 1], [2, 6], [3, 4], [4, 1], [24, 1]], 1/114661785600], [[[1, 1], [2, 6], [3, 4], [4, 1], [30, 1]], 1/143327232000], [[[1, 1], [2, 6], [3, 4], [4, 2], [6, 3]], 12193/2786281390080], [[[1, 1], [2, 6], [3, 4], [4, 2], [7, 1]], 1/160526499840], [[[1, 1], [2, 6], [3, 4], [4, 2], [9, 1]], 41/206391214080], [[[1, 1], [2, 6], [3, 4], [4, 2], [14, 1]], 1/11466178560], [[[1, 1], [2, 6], [3, 4], [4, 2], [18, 1]], 1/38698352640], [[[1, 1], [2, 6], [3, 4], [4, 3], [5, 1]], 1/229323571200], [[[1, 1], [2, 6], [3, 4], [4, 3], [6, 2]], 289/619173642240], [[[1, 1], [2, 6], [3, 4], [4, 3], [8, 1]], 23/733835427840], [[[1, 1], [2, 6], [3, 4], [4, 3], [10, 1]], 1/127401984000], [[[1, 1], [2, 6], [3, 4], [4, 3], [12, 1]], 7/687970713600], [[[1, 1], [2, 6], [3, 4], [4, 4], [6, 1]], 17587/4458050224128000], [[[1, 1], [2, 6], [3, 4], [5, 2], [6, 1]], 37/58047528960000], [[[1, 1], [2, 6], [3, 4], [6, 1], [8, 2]], 37/18575209267200], [[[1, 1], [2, 6], [3, 4], [6, 1], [10, 2]], 31141/58047528960000], [[[1, 1], [2, 6], [3, 4], [6, 1], [12, 2]], 10027/27862813900800], [[[1, 1], [2, 6], [3, 4], [6, 1], [15, 1]], 37/2902376448000], [[[1, 1], [2, 6], [3, 4], [6, 1], [20, 1]], 37/1934917632000], [[[1, 1], [2, 6], [3, 4], [6, 1], [24, 1]], 37/2321901158400], [[[1, 1], [2, 6], [3, 4], [6, 1], [30, 1]], 37/2902376448000], [[[1, 1], [2, 6], [3, 4], [6, 2], [7, 1]], 271/22574039040], [[[1, 1], [2, 6], [3, 4], [6, 2], [9, 1]], 2471/29023764480], [[[1, 1], [2, 6], [3, 4], [6, 2], [14, 1]], 271/2821754880], [[[1, 1], [2, 6], [3, 4], [6, 2], [18, 1]], 162637/5224277606400], [[[1, 1], [2, 6], [3, 4], [6, 3], [8, 1]], 1463/185752092672], [[[1, 1], [2, 6], [3, 4], [6, 3], [10, 1]], 70717/1451188224000], [[[1, 1], [2, 6], [3, 4], [6, 3], [12, 1]], 869767/27862813900800], [[[1, 1], [2, 6], [3, 4], [7, 1], [10, 1]], 1/10450944000], [[[1, 1], [2, 6], [3, 4], [8, 1], [14, 1]], 1/3344302080], [[[1, 1], [2, 6], [3, 4], [8, 1], [18, 1]], 1/12899450880], [[[1, 1], [2, 6], [3, 4], [9, 1], [10, 1]], 41/13436928000], [[[1, 1], [2, 6], [3, 4], [10, 1], [14, 1]], 1/870912000], [[[1, 1], [2, 6], [3, 4], [10, 1], [18, 1]], 7/20155392000], [[[1, 1], [2, 6], [3, 5], [4, 1], [6, 3]], 1463/278628139008], [[[1, 1], [2, 6], [3, 5], [4, 1], [9, 1]], 1/257989017600], [[[1, 1], [2, 6], [3, 5], [4, 1], [14, 1]], 1/5016453120], [[[1, 1], [2, 6], [3, 5], [4, 1], [18, 1]], 1/19349176320], [[[1, 1], [2, 6], [3, 5], [4, 2], [5, 1]], 1/343985356800], [[[1, 1], [2, 6], [3, 5], [4, 2], [6, 2]], 143/330225942528], [[[1, 1], [2, 6], [3, 5], [4, 2], [8, 1]], 13/275188285440], [[[1, 1], [2, 6], [3, 5], [4, 2], [12, 1]], 11/275188285440], [[[1, 1], [2, 6], [3, 5], [4, 3], [6, 1]], 1/82556485632], [[[1, 1], [2, 6], [3, 5], [5, 1], [6, 2]], 271/48372940800], [[[1, 1], [2, 6], [3, 5], [5, 1], [10, 1]], 1/22394880000], [[[1, 1], [2, 6], [3, 5], [6, 1], [9, 1]], 37/5224277606400], [[[1, 1], [2, 6], [3, 5], [6, 1], [14, 1]], 11/1254113280], [[[1, 1], [2, 6], [3, 5], [6, 1], [18, 1]], 11/4837294080], [[[1, 1], [2, 6], [3, 5], [6, 2], [8, 1]], 271/38698352640], [[[1, 1], [2, 6], [3, 5], [6, 2], [10, 1]], 451/107495424000], [[[1, 1], [2, 6], [3, 5], [6, 2], [12, 1]], 887/38698352640], [[[1, 1], [2, 6], [3, 5], [8, 1], [10, 1]], 1/17915904000], [[[1, 1], [2, 6], [3, 5], [10, 1], [12, 1]], 11/17915904000], [[[1, 1], [2, 6], [3, 6], [4, 1], [6, 2]], 161/8255648563200], [[[1, 1], [2, 6], [3, 6], [4, 1], [12, 1]], 1/1375941427200], [[[1, 1], [2, 6], [3, 6], [4, 2], [6, 1]], 1/309586821120], [[[1, 1], [2, 6], [3, 6], [6, 1], [8, 1]], 1/103195607040], [[[1, 1], [2, 6], [3, 6], [6, 1], [10, 1]], 7/161243136000], [[[1, 1], [2, 6], [3, 6], [6, 1], [12, 1]], 37/27862813900800], [[[1, 1], [2, 6], [3, 7], [4, 1], [6, 1]], 1/154793410560], [[[1, 1], [2, 6], [4, 1], [5, 1], [6, 6]], 13/96745881600], [[[1, 1], [2, 6], [4, 1], [5, 1], [10, 3]], 1/57600000], [[[1, 1], [2, 6], [4, 1], [5, 1], [14, 2]], 1/125440], [[[1, 1], [2, 6], [4, 1], [5, 1], [18, 2]], 1/1866240], [[[1, 1], [2, 6], [4, 1], [5, 2], [6, 4]], 1601/2866544640000], [[[1, 1], [2, 6], [4, 1], [5, 2], [8, 2]], 61/3538944000], [[[1, 1], [2, 6], [4, 1], [5, 2], [10, 2]], 493/11059200000], [[[1, 1], [2, 6], [4, 1], [5, 2], [12, 2]], 1/5308416000], [[[1, 1], [2, 6], [4, 1], [5, 2], [15, 1]], 1/552960000], [[[1, 1], [2, 6], [4, 1], [5, 2], [20, 1]], 1/368640000], [[[1, 1], [2, 6], [4, 1], [5, 2], [24, 1]], 1/442368000], [[[1, 1], [2, 6], [4, 1], [5, 2], [30, 1]], 1/552960000], [[[1, 1], [2, 6], [4, 1], [5, 3], [6, 2]], 1/124416000], [[[1, 1], [2, 6], [4, 1], [5, 3], [10, 1]], 1/57600000], [[[1, 1], [2, 6], [4, 1], [6, 2], [8, 3]], 11/42467328], [[[1, 1], [2, 6], [4, 1], [6, 2], [10, 3]], 113/62208000], [[[1, 1], [2, 6], [4, 1], [6, 2], [12, 3]], 43387/68797071360], [[[1, 1], [2, 6], [4, 1], [6, 2], [18, 2]], 1/2211840], [[[1, 1], [2, 6], [4, 1], [6, 2], [28, 1]], 1/290304], [[[1, 1], [2, 6], [4, 1], [6, 2], [36, 1]], 1/373248], [[[1, 1], [2, 6], [4, 1], [6, 4], [8, 2]], 11261/917294284800], [[[1, 1], [2, 6], [4, 1], [6, 4], [10, 2]], 78593/2866544640000], [[[1, 1], [2, 6], [4, 1], [6, 4], [12, 2]], 16919/152882380800], [[[1, 1], [2, 6], [4, 1], [6, 4], [15, 1]], 1601/143327232000], [[[1, 1], [2, 6], [4, 1], [6, 4], [20, 1]], 1601/95551488000], [[[1, 1], [2, 6], [4, 1], [6, 4], [24, 1]], 1601/114661785600], [[[1, 1], [2, 6], [4, 1], [6, 4], [30, 1]], 1601/143327232000], [[[1, 1], [2, 6], [4, 1], [6, 5], [14, 1]], 1/1672151040], [[[1, 1], [2, 6], [4, 1], [6, 5], [18, 1]], 547/85996339200], [[[1, 1], [2, 6], [4, 1], [6, 6], [8, 1]], 221/309586821120], [[[1, 1], [2, 6], [4, 1], [6, 6], [10, 1]], 1/2418647040], [[[1, 1], [2, 6], [4, 1], [6, 6], [12, 1]], 55867/37150418534400], [[[1, 1], [2, 6], [4, 1], [8, 1], [10, 3]], 7/61440000], [[[1, 1], [2, 6], [4, 1], [8, 1], [14, 2]], 13/401408], [[[1, 1], [2, 6], [4, 1], [8, 1], [18, 2]], 17/5971968], [[[1, 1], [2, 6], [4, 1], [8, 2], [10, 2]], 253/3538944000], [[[1, 1], [2, 6], [4, 1], [8, 2], [12, 2]], 61/1698693120], [[[1, 1], [2, 6], [4, 1], [8, 2], [15, 1]], 61/176947200], [[[1, 1], [2, 6], [4, 1], [8, 2], [20, 1]], 61/117964800], [[[1, 1], [2, 6], [4, 1], [8, 2], [24, 1]], 31/47185920], [[[1, 1], [2, 6], [4, 1], [8, 2], [30, 1]], 61/176947200], [[[1, 1], [2, 6], [4, 1], [8, 3], [10, 1]], 37/58982400], [[[1, 1], [2, 6], [4, 1], [10, 1], [12, 3]], 7/49766400], [[[1, 1], [2, 6], [4, 1], [10, 1], [14, 2]], 1/125440], [[[1, 1], [2, 6], [4, 1], [10, 1], [18, 2]], 1/1866240], [[[1, 1], [2, 6], [4, 1], [10, 1], [28, 1]], 1/134400], [[[1, 1], [2, 6], [4, 1], [10, 1], [36, 1]], 1/172800], [[[1, 1], [2, 6], [4, 1], [10, 2], [12, 2]], 193/5308416000], [[[1, 1], [2, 6], [4, 1], [10, 2], [15, 1]], 193/552960000], [[[1, 1], [2, 6], [4, 1], [10, 2], [20, 1]], 193/368640000], [[[1, 1], [2, 6], [4, 1], [10, 2], [24, 1]], 193/442368000], [[[1, 1], [2, 6], [4, 1], [10, 2], [30, 1]], 193/552960000], [[[1, 1], [2, 6], [4, 1], [10, 3], [12, 1]], 1/34560000], [[[1, 1], [2, 6], [4, 1], [12, 1], [14, 2]], 1/75264], [[[1, 1], [2, 6], [4, 1], [12, 1], [18, 2]], 1/1119744], [[[1, 1], [2, 6], [4, 1], [12, 1], [36, 1]], 1/3317760], [[[1, 1], [2, 6], [4, 1], [12, 2], [15, 1]], 1/265420800], [[[1, 1], [2, 6], [4, 1], [12, 2], [20, 1]], 1/176947200], [[[1, 1], [2, 6], [4, 1], [12, 2], [24, 1]], 13/212336640], [[[1, 1], [2, 6], [4, 1], [12, 2], [30, 1]], 1/265420800], [[[1, 1], [2, 6], [4, 1], [15, 1], [20, 1]], 1/18432000], [[[1, 1], [2, 6], [4, 1], [15, 1], [24, 1]], 1/22118400], [[[1, 1], [2, 6], [4, 1], [15, 1], [30, 1]], 1/1728000], [[[1, 1], [2, 6], [4, 1], [20, 1], [24, 1]], 1/14745600], [[[1, 1], [2, 6], [4, 1], [20, 1], [30, 1]], 1/18432000], [[[1, 1], [2, 6], [4, 1], [24, 1], [30, 1]], 1/22118400], [[[1, 1], [2, 6], [4, 2], [5, 2], [6, 3]], 43/10749542400], [[[1, 1], [2, 6], [4, 2], [5, 2], [7, 1]], 1/619315200], [[[1, 1], [2, 6], [4, 2], [5, 2], [9, 1]], 1/796262400], [[[1, 1], [2, 6], [4, 2], [5, 2], [14, 1]], 1/44236800], [[[1, 1], [2, 6], [4, 2], [5, 2], [18, 1]], 1/149299200], [[[1, 1], [2, 6], [4, 2], [6, 1], [8, 3]], 149/339738624], [[[1, 1], [2, 6], [4, 2], [6, 1], [10, 3]], 79/3317760000], [[[1, 1], [2, 6], [4, 2], [6, 1], [12, 3]], 83/4837294080], [[[1, 1], [2, 6], [4, 2], [6, 1], [14, 2]], 1/602112], [[[1, 1], [2, 6], [4, 2], [6, 1], [18, 2]], 1/2985984], [[[1, 1], [2, 6], [4, 2], [6, 1], [28, 1]], 37/34836480], [[[1, 1], [2, 6], [4, 2], [6, 1], [36, 1]], 37/134369280], [[[1, 1], [2, 6], [4, 2], [6, 3], [8, 2]], 205/3439853568], [[[1, 1], [2, 6], [4, 2], [6, 3], [10, 2]], 3931/10749542400], [[[1, 1], [2, 6], [4, 2], [6, 3], [12, 2]], 9139/25798901760], [[[1, 1], [2, 6], [4, 2], [6, 3], [15, 1]], 43/537477120], [[[1, 1], [2, 6], [4, 2], [6, 3], [20, 1]], 43/358318080], [[[1, 1], [2, 6], [4, 2], [6, 3], [24, 1]], 43/429981696], [[[1, 1], [2, 6], [4, 2], [6, 3], [30, 1]], 43/537477120], [[[1, 1], [2, 6], [4, 2], [6, 4], [7, 1]], 641/160526499840], [[[1, 1], [2, 6], [4, 2], [6, 4], [9, 1]], 641/206391214080], [[[1, 1], [2, 6], [4, 2], [6, 4], [14, 1]], 1607/80263249920], [[[1, 1], [2, 6], [4, 2], [6, 4], [18, 1]], 667/12899450880], [[[1, 1], [2, 6], [4, 2], [6, 5], [8, 1]], 227/91729428480], [[[1, 1], [2, 6], [4, 2], [6, 5], [10, 1]], 2693/286654464000], [[[1, 1], [2, 6], [4, 2], [6, 5], [12, 1]], 60011/3482851737600], [[[1, 1], [2, 6], [4, 2], [7, 1], [8, 2]], 109/198180864], [[[1, 1], [2, 6], [4, 2], [7, 1], [10, 2]], 1/619315200], [[[1, 1], [2, 6], [4, 2], [7, 1], [12, 2]], 1/297271296], [[[1, 1], [2, 6], [4, 2], [7, 1], [15, 1]], 1/30965760], [[[1, 1], [2, 6], [4, 2], [7, 1], [20, 1]], 1/20643840], [[[1, 1], [2, 6], [4, 2], [7, 1], [24, 1]], 1/24772608], [[[1, 1], [2, 6], [4, 2], [7, 1], [30, 1]], 1/30965760], [[[1, 1], [2, 6], [4, 2], [8, 2], [9, 1]], 109/254803968], [[[1, 1], [2, 6], [4, 2], [8, 2], [14, 1]], 1195/99090432], [[[1, 1], [2, 6], [4, 2], [8, 2], [18, 1]], 163/47775744], [[[1, 1], [2, 6], [4, 2], [9, 1], [10, 2]], 1/796262400], [[[1, 1], [2, 6], [4, 2], [9, 1], [12, 2]], 1/382205952], [[[1, 1], [2, 6], [4, 2], [9, 1], [15, 1]], 1/39813120], [[[1, 1], [2, 6], [4, 2], [9, 1], [20, 1]], 1/26542080], [[[1, 1], [2, 6], [4, 2], [9, 1], [24, 1]], 1/31850496], [[[1, 1], [2, 6], [4, 2], [9, 1], [30, 1]], 1/39813120], [[[1, 1], [2, 6], [4, 2], [10, 2], [14, 1]], 1/44236800], [[[1, 1], [2, 6], [4, 2], [10, 2], [18, 1]], 1/149299200], [[[1, 1], [2, 6], [4, 2], [12, 2], [14, 1]], 1/21233664], [[[1, 1], [2, 6], [4, 2], [12, 2], [18, 1]], 1/71663616], [[[1, 1], [2, 6], [4, 2], [14, 1], [15, 1]], 1/2211840], [[[1, 1], [2, 6], [4, 2], [14, 1], [20, 1]], 1/1474560], [[[1, 1], [2, 6], [4, 2], [14, 1], [24, 1]], 1/1769472], [[[1, 1], [2, 6], [4, 2], [14, 1], [30, 1]], 1/2211840], [[[1, 1], [2, 6], [4, 2], [15, 1], [18, 1]], 1/7464960], [[[1, 1], [2, 6], [4, 2], [18, 1], [20, 1]], 1/4976640], [[[1, 1], [2, 6], [4, 2], [18, 1], [24, 1]], 1/5971968], [[[1, 1], [2, 6], [4, 2], [18, 1], [30, 1]], 1/7464960], [[[1, 1], [2, 6], [4, 3], [5, 1], [6, 4]], 641/229323571200], [[[1, 1], [2, 6], [4, 3], [5, 1], [8, 2]], 109/283115520], [[[1, 1], [2, 6], [4, 3], [5, 1], [10, 2]], 1/884736000], [[[1, 1], [2, 6], [4, 3], [5, 1], [12, 2]], 1/424673280], [[[1, 1], [2, 6], [4, 3], [5, 1], [15, 1]], 1/44236800], [[[1, 1], [2, 6], [4, 3], [5, 1], [20, 1]], 1/29491200], [[[1, 1], [2, 6], [4, 3], [5, 1], [24, 1]], 1/35389440], [[[1, 1], [2, 6], [4, 3], [5, 1], [30, 1]], 1/44236800], [[[1, 1], [2, 6], [4, 3], [5, 2], [6, 2]], 19/2388787200], [[[1, 1], [2, 6], [4, 3], [5, 2], [8, 1]], 23/2831155200], [[[1, 1], [2, 6], [4, 3], [5, 2], [10, 1]], 1/491520000], [[[1, 1], [2, 6], [4, 3], [5, 2], [12, 1]], 7/2654208000], [[[1, 1], [2, 6], [4, 3], [6, 2], [8, 2]], 175/764411904], [[[1, 1], [2, 6], [4, 3], [6, 2], [10, 2]], 1099/2388787200], [[[1, 1], [2, 6], [4, 3], [6, 2], [12, 2]], 10033/11466178560], [[[1, 1], [2, 6], [4, 3], [6, 2], [15, 1]], 19/119439360], [[[1, 1], [2, 6], [4, 3], [6, 2], [16, 1]], 1/3981312], [[[1, 1], [2, 6], [4, 3], [6, 2], [20, 1]], 83/79626240], [[[1, 1], [2, 6], [4, 3], [6, 2], [24, 1]], 19/95551488], [[[1, 1], [2, 6], [4, 3], [6, 2], [30, 1]], 19/119439360], [[[1, 1], [2, 6], [4, 3], [6, 3], [14, 1]], 1/334430208], [[[1, 1], [2, 6], [4, 3], [6, 3], [18, 1]], 115/1289945088], [[[1, 1], [2, 6], [4, 3], [6, 4], [8, 1]], 8983/733835427840], [[[1, 1], [2, 6], [4, 3], [6, 4], [10, 1]], 1603/382205952000], [[[1, 1], [2, 6], [4, 3], [6, 4], [12, 1]], 2023/76441190400], [[[1, 1], [2, 6], [4, 3], [7, 1], [14, 1]], 1/2064384], [[[1, 1], [2, 6], [4, 3], [8, 1], [10, 2]], 23/2831155200], [[[1, 1], [2, 6], [4, 3], [8, 1], [12, 2]], 23/1358954496], [[[1, 1], [2, 6], [4, 3], [8, 1], [15, 1]], 23/141557760], [[[1, 1], [2, 6], [4, 3], [8, 1], [16, 1]], 7/5898240], [[[1, 1], [2, 6], [4, 3], [8, 1], [20, 1]], 11/18874368], [[[1, 1], [2, 6], [4, 3], [8, 1], [24, 1]], 29/37748736], [[[1, 1], [2, 6], [4, 3], [8, 1], [30, 1]], 23/141557760], [[[1, 1], [2, 6], [4, 3], [8, 2], [10, 1]], 247/471859200], [[[1, 1], [2, 6], [4, 3], [8, 2], [12, 1]], 691/849346560], [[[1, 1], [2, 6], [4, 3], [9, 1], [18, 1]], 1/2654208], [[[1, 1], [2, 6], [4, 3], [10, 1], [12, 2]], 103/141557760], [[[1, 1], [2, 6], [4, 3], [10, 1], [15, 1]], 1/24576000], [[[1, 1], [2, 6], [4, 3], [10, 1], [16, 1]], 1/1843200], [[[1, 1], [2, 6], [4, 3], [10, 1], [20, 1]], 53/29491200], [[[1, 1], [2, 6], [4, 3], [10, 1], [24, 1]], 1/19660800], [[[1, 1], [2, 6], [4, 3], [10, 1], [30, 1]], 1/24576000], [[[1, 1], [2, 6], [4, 3], [10, 2], [12, 1]], 391/2654208000], [[[1, 1], [2, 6], [4, 3], [12, 1], [15, 1]], 7/132710400], [[[1, 1], [2, 6], [4, 3], [12, 1], [16, 1]], 1/3538944], [[[1, 1], [2, 6], [4, 3], [12, 1], [20, 1]], 17/29491200], [[[1, 1], [2, 6], [4, 3], [12, 1], [24, 1]], 49/106168320], [[[1, 1], [2, 6], [4, 3], [12, 1], [30, 1]], 7/132710400], [[[1, 1], [2, 6], [4, 3], [14, 1], [18, 1]], 1/4644864], [[[1, 1], [2, 6], [4, 4], [5, 2], [6, 1]], 17587/17199267840000], [[[1, 1], [2, 6], [4, 4], [6, 1], [8, 2]], 3088267/5503765708800], [[[1, 1], [2, 6], [4, 4], [6, 1], [10, 2]], 48691/17199267840000], [[[1, 1], [2, 6], [4, 4], [6, 1], [12, 2]], 505267/8255648563200], [[[1, 1], [2, 6], [4, 4], [6, 1], [15, 1]], 17587/859963392000], [[[1, 1], [2, 6], [4, 4], [6, 1], [20, 1]], 6359/114661785600], [[[1, 1], [2, 6], [4, 4], [6, 1], [24, 1]], 17587/687970713600], [[[1, 1], [2, 6], [4, 4], [6, 1], [30, 1]], 17587/859963392000], [[[1, 1], [2, 6], [4, 4], [6, 2], [7, 1]], 181/6688604160], [[[1, 1], [2, 6], [4, 4], [6, 2], [9, 1]], 181/8599633920], [[[1, 1], [2, 6], [4, 4], [6, 2], [14, 1]], 23/418037760], [[[1, 1], [2, 6], [4, 4], [6, 2], [18, 1]], 61387/1547934105600], [[[1, 1], [2, 6], [4, 4], [6, 3], [8, 1]], 905/55037657088], [[[1, 1], [2, 6], [4, 4], [6, 3], [10, 1]], 11047/429981696000], [[[1, 1], [2, 6], [4, 4], [6, 3], [12, 1]], 467987/8255648563200], [[[1, 1], [2, 6], [4, 4], [7, 1], [10, 1]], 1/3096576000], [[[1, 1], [2, 6], [4, 4], [7, 1], [12, 1]], 1/74317824], [[[1, 1], [2, 6], [4, 4], [8, 1], [14, 1]], 181/990904320], [[[1, 1], [2, 6], [4, 4], [8, 1], [18, 1]], 181/3822059520], [[[1, 1], [2, 6], [4, 4], [9, 1], [10, 1]], 1/3981312000], [[[1, 1], [2, 6], [4, 4], [9, 1], [12, 1]], 1/95551488], [[[1, 1], [2, 6], [4, 4], [10, 1], [14, 1]], 1/258048000], [[[1, 1], [2, 6], [4, 4], [10, 1], [18, 1]], 7/5971968000], [[[1, 1], [2, 6], [4, 4], [12, 1], [14, 1]], 1/5308416], [[[1, 1], [2, 6], [4, 4], [12, 1], [18, 1]], 1/17915904], [[[1, 1], [2, 6], [4, 5], [5, 1], [6, 2]], 181/9555148800], [[[1, 1], [2, 6], [4, 5], [5, 1], [10, 1]], 1/4423680000], [[[1, 1], [2, 6], [4, 5], [5, 1], [12, 1]], 1/106168320], [[[1, 1], [2, 6], [4, 5], [6, 1], [14, 1]], 1/23592960], [[[1, 1], [2, 6], [4, 5], [6, 1], [18, 1]], 11/943718400], [[[1, 1], [2, 6], [4, 5], [6, 2], [8, 1]], 2189/30576476160], [[[1, 1], [2, 6], [4, 5], [6, 2], [10, 1]], 37/955514880], [[[1, 1], [2, 6], [4, 5], [6, 2], [12, 1]], 430699/3669177139200], [[[1, 1], [2, 6], [4, 5], [8, 1], [10, 1]], 71/4718592000], [[[1, 1], [2, 6], [4, 5], [8, 1], [12, 1]], 47/339738624], [[[1, 1], [2, 6], [4, 5], [10, 1], [12, 1]], 11/265420800], [[[1, 1], [2, 6], [4, 6], [6, 1], [8, 1]], 761/81537269760], [[[1, 1], [2, 6], [4, 6], [6, 1], [10, 1]], 79/254803968000], [[[1, 1], [2, 6], [4, 6], [6, 1], [12, 1]], 26879/3095868211200], [[[1, 1], [2, 6], [5, 2], [6, 1], [8, 2]], 37/71663616000], [[[1, 1], [2, 6], [5, 2], [6, 1], [10, 2]], 42241/223948800000], [[[1, 1], [2, 6], [5, 2], [6, 1], [12, 2]], 37/107495424000], [[[1, 1], [2, 6], [5, 2], [6, 1], [15, 1]], 37/11197440000], [[[1, 1], [2, 6], [5, 2], [6, 1], [20, 1]], 37/7464960000], [[[1, 1], [2, 6], [5, 2], [6, 1], [24, 1]], 37/8957952000], [[[1, 1], [2, 6], [5, 2], [6, 1], [30, 1]], 37/11197440000], [[[1, 1], [2, 6], [5, 2], [6, 2], [7, 1]], 1/87091200], [[[1, 1], [2, 6], [5, 2], [6, 2], [9, 1]], 1/111974400], [[[1, 1], [2, 6], [5, 2], [6, 2], [14, 1]], 1/10886400], [[[1, 1], [2, 6], [5, 2], [6, 2], [18, 1]], 637/20155392000], [[[1, 1], [2, 6], [5, 2], [6, 3], [8, 1]], 1/143327232], [[[1, 1], [2, 6], [5, 2], [6, 3], [10, 1]], 247/5598720000], [[[1, 1], [2, 6], [5, 2], [6, 3], [12, 1]], 2437/107495424000], [[[1, 1], [2, 6], [5, 2], [7, 1], [10, 1]], 1/40320000], [[[1, 1], [2, 6], [5, 2], [8, 1], [14, 1]], 1/12902400], [[[1, 1], [2, 6], [5, 2], [8, 1], [18, 1]], 1/49766400], [[[1, 1], [2, 6], [5, 2], [9, 1], [10, 1]], 1/51840000], [[[1, 1], [2, 6], [5, 2], [10, 1], [14, 1]], 1/3360000], [[[1, 1], [2, 6], [5, 2], [10, 1], [18, 1]], 7/77760000], [[[1, 1], [2, 6], [6, 1], [8, 1], [10, 3]], 7/138240000], [[[1, 1], [2, 6], [6, 1], [8, 1], [12, 3]], 1/31850496], [[[1, 1], [2, 6], [6, 1], [8, 1], [14, 2]], 1/150528], [[[1, 1], [2, 6], [6, 1], [8, 1], [18, 2]], 1/1492992], [[[1, 1], [2, 6], [6, 1], [8, 2], [10, 2]], 31141/71663616000], [[[1, 1], [2, 6], [6, 1], [8, 2], [12, 2]], 37/34398535680], [[[1, 1], [2, 6], [6, 1], [8, 2], [15, 1]], 37/3583180800], [[[1, 1], [2, 6], [6, 1], [8, 2], [20, 1]], 37/2388787200], [[[1, 1], [2, 6], [6, 1], [8, 2], [24, 1]], 407/955514880], [[[1, 1], [2, 6], [6, 1], [8, 2], [30, 1]], 37/3583180800], [[[1, 1], [2, 6], [6, 1], [8, 3], [10, 1]], 7/44236800], [[[1, 1], [2, 6], [6, 1], [8, 3], [12, 1]], 1/21233664], [[[1, 1], [2, 6], [6, 1], [10, 1], [12, 3]], 7/49766400], [[[1, 1], [2, 6], [6, 1], [10, 1], [14, 2]], 1/47040], [[[1, 1], [2, 6], [6, 1], [10, 1], [18, 2]], 1/259200], [[[1, 1], [2, 6], [6, 1], [10, 2], [12, 2]], 31141/107495424000], [[[1, 1], [2, 6], [6, 1], [10, 2], [15, 1]], 31141/11197440000], [[[1, 1], [2, 6], [6, 1], [10, 2], [20, 1]], 31141/7464960000], [[[1, 1], [2, 6], [6, 1], [10, 2], [24, 1]], 31141/8957952000], [[[1, 1], [2, 6], [6, 1], [10, 2], [30, 1]], 31141/11197440000], [[[1, 1], [2, 6], [6, 1], [10, 3], [12, 1]], 7/103680000], [[[1, 1], [2, 6], [6, 1], [12, 1], [14, 2]], 1/75264], [[[1, 1], [2, 6], [6, 1], [12, 1], [18, 2]], 5/3359232], [[[1, 1], [2, 6], [6, 1], [12, 1], [36, 1]], 37/67184640], [[[1, 1], [2, 6], [6, 1], [12, 2], [15, 1]], 37/5374771200], [[[1, 1], [2, 6], [6, 1], [12, 2], [20, 1]], 37/3583180800], [[[1, 1], [2, 6], [6, 1], [12, 2], [24, 1]], 481/4299816960], [[[1, 1], [2, 6], [6, 1], [12, 2], [30, 1]], 37/5374771200], [[[1, 1], [2, 6], [6, 1], [15, 1], [20, 1]], 37/373248000], [[[1, 1], [2, 6], [6, 1], [15, 1], [24, 1]], 37/447897600], [[[1, 1], [2, 6], [6, 1], [15, 1], [30, 1]], 37/34992000], [[[1, 1], [2, 6], [6, 1], [20, 1], [24, 1]], 37/298598400], [[[1, 1], [2, 6], [6, 1], [20, 1], [30, 1]], 37/373248000], [[[1, 1], [2, 6], [6, 1], [24, 1], [30, 1]], 37/447897600], [[[1, 1], [2, 6], [6, 2], [7, 1], [8, 2]], 1/27869184], [[[1, 1], [2, 6], [6, 2], [7, 1], [10, 2]], 31/12441600], [[[1, 1], [2, 6], [6, 2], [7, 1], [12, 2]], 19/41803776], [[[1, 1], [2, 6], [6, 2], [7, 1], [15, 1]], 1/4354560], [[[1, 1], [2, 6], [6, 2], [7, 1], [20, 1]], 1/2903040], [[[1, 1], [2, 6], [6, 2], [7, 1], [24, 1]], 1/3483648], [[[1, 1], [2, 6], [6, 2], [7, 1], [30, 1]], 1/4354560], [[[1, 1], [2, 6], [6, 2], [8, 2], [9, 1]], 1/35831808], [[[1, 1], [2, 6], [6, 2], [8, 2], [14, 1]], 1/3483648], [[[1, 1], [2, 6], [6, 2], [8, 2], [18, 1]], 637/6449725440], [[[1, 1], [2, 6], [6, 2], [9, 1], [10, 2]], 217/111974400], [[[1, 1], [2, 6], [6, 2], [9, 1], [12, 2]], 19/53747712], [[[1, 1], [2, 6], [6, 2], [9, 1], [15, 1]], 1/5598720], [[[1, 1], [2, 6], [6, 2], [9, 1], [20, 1]], 1/3732480], [[[1, 1], [2, 6], [6, 2], [9, 1], [24, 1]], 1/4478976], [[[1, 1], [2, 6], [6, 2], [9, 1], [30, 1]], 1/5598720], [[[1, 1], [2, 6], [6, 2], [10, 2], [14, 1]], 109/10886400], [[[1, 1], [2, 6], [6, 2], [10, 2], [18, 1]], 109501/20155392000], [[[1, 1], [2, 6], [6, 2], [12, 2], [14, 1]], 19/5225472], [[[1, 1], [2, 6], [6, 2], [12, 2], [18, 1]], 11437/9674588160], [[[1, 1], [2, 6], [6, 2], [14, 1], [15, 1]], 1/544320], [[[1, 1], [2, 6], [6, 2], [14, 1], [20, 1]], 1/362880], [[[1, 1], [2, 6], [6, 2], [14, 1], [24, 1]], 1/435456], [[[1, 1], [2, 6], [6, 2], [14, 1], [30, 1]], 1/544320], [[[1, 1], [2, 6], [6, 2], [15, 1], [18, 1]], 637/1007769600], [[[1, 1], [2, 6], [6, 2], [18, 1], [20, 1]], 637/671846400], [[[1, 1], [2, 6], [6, 2], [18, 1], [24, 1]], 637/806215680], [[[1, 1], [2, 6], [6, 2], [18, 1], [30, 1]], 637/1007769600], [[[1, 1], [2, 6], [6, 3], [7, 1], [14, 1]], 1/12192768], [[[1, 1], [2, 6], [6, 3], [7, 1], [18, 1]], 1/6718464], [[[1, 1], [2, 6], [6, 3], [8, 1], [10, 2]], 5209/3583180800], [[[1, 1], [2, 6], [6, 3], [8, 1], [12, 2]], 511/1719926784], [[[1, 1], [2, 6], [6, 3], [8, 1], [15, 1]], 5/35831808], [[[1, 1], [2, 6], [6, 3], [8, 1], [20, 1]], 5/23887872], [[[1, 1], [2, 6], [6, 3], [8, 1], [24, 1]], 25/143327232], [[[1, 1], [2, 6], [6, 3], [8, 1], [30, 1]], 5/35831808], [[[1, 1], [2, 6], [6, 3], [8, 2], [10, 1]], 247/1791590400], [[[1, 1], [2, 6], [6, 3], [8, 2], [12, 1]], 2437/34398535680], [[[1, 1], [2, 6], [6, 3], [9, 1], [14, 1]], 1/15676416], [[[1, 1], [2, 6], [6, 3], [9, 1], [18, 1]], 7/60466176], [[[1, 1], [2, 6], [6, 3], [10, 1], [12, 2]], 989/537477120], [[[1, 1], [2, 6], [6, 3], [10, 1], [15, 1]], 247/279936000], [[[1, 1], [2, 6], [6, 3], [10, 1], [20, 1]], 247/186624000], [[[1, 1], [2, 6], [6, 3], [10, 1], [24, 1]], 247/223948800], [[[1, 1], [2, 6], [6, 3], [10, 1], [30, 1]], 247/279936000], [[[1, 1], [2, 6], [6, 3], [10, 2], [12, 1]], 344581/107495424000], [[[1, 1], [2, 6], [6, 3], [12, 1], [15, 1]], 2437/5374771200], [[[1, 1], [2, 6], [6, 3], [12, 1], [20, 1]], 2437/3583180800], [[[1, 1], [2, 6], [6, 3], [12, 1], [24, 1]], 2437/4299816960], [[[1, 1], [2, 6], [6, 3], [12, 1], [30, 1]], 2437/5374771200], [[[1, 1], [2, 6], [6, 3], [14, 1], [18, 1]], 1/839808], [[[1, 1], [2, 6], [6, 4], [7, 1], [10, 1]], 401/10450944000], [[[1, 1], [2, 6], [6, 4], [7, 1], [12, 1]], 5/125411328], [[[1, 1], [2, 6], [6, 4], [8, 1], [14, 1]], 23/477757440], [[[1, 1], [2, 6], [6, 4], [8, 1], [18, 1]], 43/477757440], [[[1, 1], [2, 6], [6, 4], [9, 1], [10, 1]], 401/13436928000], [[[1, 1], [2, 6], [6, 4], [9, 1], [12, 1]], 5/161243136], [[[1, 1], [2, 6], [6, 4], [10, 1], [14, 1]], 67/290304000], [[[1, 1], [2, 6], [6, 4], [10, 1], [18, 1]], 3829/6718464000], [[[1, 1], [2, 6], [6, 4], [12, 1], [14, 1]], 5/15676416], [[[1, 1], [2, 6], [6, 4], [12, 1], [18, 1]], 3437/9674588160], [[[1, 1], [2, 6], [6, 5], [8, 1], [10, 1]], 269/11943936000], [[[1, 1], [2, 6], [6, 5], [8, 1], [12, 1]], 137/5733089280], [[[1, 1], [2, 6], [6, 5], [10, 1], [12, 1]], 151/995328000], [[[1, 1], [2, 6], [7, 1], [8, 2], [10, 1]], 1/12902400], [[[1, 1], [2, 6], [7, 1], [10, 1], [12, 2]], 1/19353600], [[[1, 1], [2, 6], [7, 1], [10, 1], [15, 1]], 1/2016000], [[[1, 1], [2, 6], [7, 1], [10, 1], [20, 1]], 1/1344000], [[[1, 1], [2, 6], [7, 1], [10, 1], [24, 1]], 1/1612800], [[[1, 1], [2, 6], [7, 1], [10, 1], [30, 1]], 1/2016000], [[[1, 1], [2, 6], [7, 1], [14, 1], [18, 1]], 1/169344], [[[1, 1], [2, 6], [8, 1], [10, 2], [14, 1]], 1/12902400], [[[1, 1], [2, 6], [8, 1], [10, 2], [18, 1]], 1/49766400], [[[1, 1], [2, 6], [8, 1], [12, 2], [14, 1]], 1/6193152], [[[1, 1], [2, 6], [8, 1], [12, 2], [18, 1]], 1/23887872], [[[1, 1], [2, 6], [8, 1], [14, 1], [15, 1]], 1/645120], [[[1, 1], [2, 6], [8, 1], [14, 1], [20, 1]], 1/430080], [[[1, 1], [2, 6], [8, 1], [14, 1], [24, 1]], 1/516096], [[[1, 1], [2, 6], [8, 1], [14, 1], [30, 1]], 1/645120], [[[1, 1], [2, 6], [8, 1], [15, 1], [18, 1]], 1/2488320], [[[1, 1], [2, 6], [8, 1], [18, 1], [20, 1]], 1/1658880], [[[1, 1], [2, 6], [8, 1], [18, 1], [24, 1]], 1/1990656], [[[1, 1], [2, 6], [8, 1], [18, 1], [30, 1]], 1/2488320], [[[1, 1], [2, 6], [8, 2], [9, 1], [10, 1]], 1/16588800], [[[1, 1], [2, 6], [8, 2], [10, 1], [14, 1]], 1/1075200], [[[1, 1], [2, 6], [8, 2], [10, 1], [18, 1]], 7/24883200], [[[1, 1], [2, 6], [9, 1], [10, 1], [12, 2]], 1/24883200], [[[1, 1], [2, 6], [9, 1], [10, 1], [15, 1]], 1/2592000], [[[1, 1], [2, 6], [9, 1], [10, 1], [20, 1]], 1/1728000], [[[1, 1], [2, 6], [9, 1], [10, 1], [24, 1]], 1/2073600], [[[1, 1], [2, 6], [9, 1], [10, 1], [30, 1]], 1/2592000], [[[1, 1], [2, 6], [9, 1], [14, 1], [18, 1]], 1/217728], [[[1, 1], [2, 6], [10, 1], [12, 2], [14, 1]], 1/1612800], [[[1, 1], [2, 6], [10, 1], [12, 2], [18, 1]], 7/37324800], [[[1, 1], [2, 6], [10, 1], [14, 1], [15, 1]], 1/168000], [[[1, 1], [2, 6], [10, 1], [14, 1], [20, 1]], 1/112000], [[[1, 1], [2, 6], [10, 1], [14, 1], [24, 1]], 1/134400], [[[1, 1], [2, 6], [10, 1], [14, 1], [30, 1]], 1/168000], [[[1, 1], [2, 6], [10, 1], [15, 1], [18, 1]], 7/3888000], [[[1, 1], [2, 6], [10, 1], [18, 1], [20, 1]], 7/2592000], [[[1, 1], [2, 6], [10, 1], [18, 1], [24, 1]], 7/3110400], [[[1, 1], [2, 6], [10, 1], [18, 1], [30, 1]], 7/3888000], [[[1, 1], [2, 8], [3, 1], [4, 1], [6, 6]], 137/386983526400], [[[1, 1], [2, 8], [3, 1], [4, 1], [10, 3]], 1/829440000], [[[1, 1], [2, 8], [3, 1], [4, 1], [14, 2]], 1/1806336], [[[1, 1], [2, 8], [3, 1], [4, 1], [18, 2]], 1/26873856], [[[1, 1], [2, 8], [3, 1], [4, 2], [6, 5]], 179/91729428480], [[[1, 1], [2, 8], [3, 1], [4, 3], [5, 2]], 1/12740198400], [[[1, 1], [2, 8], [3, 1], [4, 3], [6, 4]], 5387/1100753141760], [[[1, 1], [2, 8], [3, 1], [4, 3], [8, 2]], 127/4076863488], [[[1, 1], [2, 8], [3, 1], [4, 3], [10, 2]], 1/12740198400], [[[1, 1], [2, 8], [3, 1], [4, 3], [12, 2]], 1/6115295232], [[[1, 1], [2, 8], [3, 1], [4, 3], [15, 1]], 1/637009920], [[[1, 1], [2, 8], [3, 1], [4, 3], [20, 1]], 1/424673280], [[[1, 1], [2, 8], [3, 1], [4, 3], [24, 1]], 1/509607936], [[[1, 1], [2, 8], [3, 1], [4, 3], [30, 1]], 1/637009920], [[[1, 1], [2, 8], [3, 1], [4, 4], [6, 3]], 44791/8255648563200], [[[1, 1], [2, 8], [3, 1], [4, 4], [9, 1]], 1181371/3467372396544000], [[[1, 1], [2, 8], [3, 1], [4, 5], [6, 2]], 2033/1031956070400], [[[1, 1], [2, 8], [3, 1], [4, 5], [10, 1]], 1/63700992000], [[[1, 1], [2, 8], [3, 1], [4, 5], [12, 1]], 1/1528823808], [[[1, 1], [2, 8], [3, 1], [4, 6], [6, 1]], 1/244611809280], [[[1, 1], [2, 8], [3, 1], [5, 1], [6, 5]], 2401/5804752896000], [[[1, 1], [2, 8], [3, 1], [5, 2], [6, 3]], 241/107495424000], [[[1, 1], [2, 8], [3, 1], [5, 2], [9, 1]], 121/45148078080000], [[[1, 1], [2, 8], [3, 1], [5, 3], [6, 1]], 1/22394880000], [[[1, 1], [2, 8], [3, 1], [6, 1], [8, 3]], 1/5733089280], [[[1, 1], [2, 8], [3, 1], [6, 1], [9, 2]], 1/1209323520], [[[1, 1], [2, 8], [3, 1], [6, 1], [10, 3]], 1/207360000], [[[1, 1], [2, 8], [3, 1], [6, 1], [12, 3]], 1/8599633920], [[[1, 1], [2, 8], [3, 1], [6, 1], [14, 2]], 1/451584], [[[1, 1], [2, 8], [3, 1], [6, 1], [18, 2]], 1/6718464], [[[1, 1], [2, 8], [3, 1], [6, 3], [8, 2]], 241/34398535680], [[[1, 1], [2, 8], [3, 1], [6, 3], [10, 2]], 54673/107495424000], [[[1, 1], [2, 8], [3, 1], [6, 3], [12, 2]], 6007/51597803520], [[[1, 1], [2, 8], [3, 1], [6, 3], [15, 1]], 241/5374771200], [[[1, 1], [2, 8], [3, 1], [6, 3], [20, 1]], 241/3583180800], [[[1, 1], [2, 8], [3, 1], [6, 3], [24, 1]], 241/4299816960], [[[1, 1], [2, 8], [3, 1], [6, 3], [30, 1]], 241/5374771200], [[[1, 1], [2, 8], [3, 1], [6, 4], [9, 1]], 106624121/11702381838336000], [[[1, 1], [2, 8], [3, 1], [6, 4], [14, 1]], 5/125411328], [[[1, 1], [2, 8], [3, 1], [6, 4], [18, 1]], 341/9674588160], [[[1, 1], [2, 8], [3, 1], [6, 5], [8, 1]], 2401/4643802316800], [[[1, 1], [2, 8], [3, 1], [6, 5], [10, 1]], 337/17915904000], [[[1, 1], [2, 8], [3, 1], [6, 5], [12, 1]], 60091/4643802316800], [[[1, 1], [2, 8], [3, 1], [8, 2], [9, 1]], 121/14447384985600], [[[1, 1], [2, 8], [3, 1], [9, 1], [10, 2]], 3048313/45148078080000], [[[1, 1], [2, 8], [3, 1], [9, 1], [12, 2]], 121/21671077478400], [[[1, 1], [2, 8], [3, 1], [9, 1], [15, 1]], 121/2257403904000], [[[1, 1], [2, 8], [3, 1], [9, 1], [20, 1]], 121/1504935936000], [[[1, 1], [2, 8], [3, 1], [9, 1], [24, 1]], 121/1805923123200], [[[1, 1], [2, 8], [3, 1], [9, 1], [30, 1]], 121/2257403904000], [[[1, 1], [2, 8], [3, 2], [4, 1], [6, 5]], 1337/1375941427200], [[[1, 1], [2, 8], [3, 2], [4, 2], [6, 4]], 10223/2476694568960], [[[1, 1], [2, 8], [3, 2], [4, 2], [12, 2]], 121/28894769971200], [[[1, 1], [2, 8], [3, 2], [4, 3], [6, 3]], 9311/1651129712640], [[[1, 1], [2, 8], [3, 2], [4, 3], [9, 1]], 1/1146617856], [[[1, 1], [2, 8], [3, 2], [4, 4], [6, 2]], 98128571/110955916689408000], [[[1, 1], [2, 8], [3, 2], [4, 4], [12, 1]], 1181371/18492652781568000], [[[1, 1], [2, 8], [3, 2], [4, 5], [6, 1]], 17/407686348800], [[[1, 1], [2, 8], [3, 2], [5, 2], [6, 2]], 179321/1444738498560000], [[[1, 1], [2, 8], [3, 2], [5, 2], [12, 1]], 121/240789749760000], [[[1, 1], [2, 8], [3, 2], [6, 2], [8, 2]], 179321/462316319539200], [[[1, 1], [2, 8], [3, 2], [6, 2], [10, 2]], 177409913/1444738498560000], [[[1, 1], [2, 8], [3, 2], [6, 2], [12, 2]], 1272671/693474479308800], [[[1, 1], [2, 8], [3, 2], [6, 2], [15, 1]], 179321/72236924928000], [[[1, 1], [2, 8], [3, 2], [6, 2], [20, 1]], 179321/48157949952000], [[[1, 1], [2, 8], [3, 2], [6, 2], [24, 1]], 188033/57789539942400], [[[1, 1], [2, 8], [3, 2], [6, 2], [30, 1]], 179321/72236924928000], [[[1, 1], [2, 8], [3, 2], [6, 3], [7, 1]], 241/30098718720], [[[1, 1], [2, 8], [3, 2], [6, 3], [9, 1]], 241/7739670528], [[[1, 1], [2, 8], [3, 2], [6, 3], [14, 1]], 1339/15049359360], [[[1, 1], [2, 8], [3, 2], [6, 3], [18, 1]], 137723/4815794995200], [[[1, 1], [2, 8], [3, 2], [6, 4], [8, 1]], 133/25798901760], [[[1, 1], [2, 8], [3, 2], [6, 4], [10, 1]], 89/2015539200], [[[1, 1], [2, 8], [3, 2], [6, 4], [12, 1]], 199553573/8916100448256000], [[[1, 1], [2, 8], [3, 2], [8, 2], [12, 1]], 121/77052719923200], [[[1, 1], [2, 8], [3, 2], [10, 2], [12, 1]], 3048313/240789749760000], [[[1, 1], [2, 8], [3, 2], [12, 1], [15, 1]], 121/12039487488000], [[[1, 1], [2, 8], [3, 2], [12, 1], [20, 1]], 121/8026324992000], [[[1, 1], [2, 8], [3, 2], [12, 1], [24, 1]], 121/9631589990400], [[[1, 1], [2, 8], [3, 2], [12, 1], [30, 1]], 121/12039487488000], [[[1, 1], [2, 8], [3, 3], [4, 1], [6, 4]], 29/7739670528], [[[1, 1], [2, 8], [3, 3], [4, 2], [6, 3]], 5443/743008370688], [[[1, 1], [2, 8], [3, 3], [4, 2], [14, 1]], 1/2675441664], [[[1, 1], [2, 8], [3, 3], [4, 2], [18, 1]], 1/10319560704], [[[1, 1], [2, 8], [3, 3], [4, 3], [6, 2]], 1/452984832], [[[1, 1], [2, 8], [3, 3], [4, 3], [8, 1]], 1/12230590464], [[[1, 1], [2, 8], [3, 3], [4, 3], [12, 1]], 1/6115295232], [[[1, 1], [2, 8], [3, 3], [4, 4], [6, 1]], 1351/74300837068800], [[[1, 1], [2, 8], [3, 3], [5, 1], [6, 3]], 241/64497254400], [[[1, 1], [2, 8], [3, 3], [5, 2], [6, 1]], 1/967458816000], [[[1, 1], [2, 8], [3, 3], [6, 1], [8, 2]], 1/309586821120], [[[1, 1], [2, 8], [3, 3], [6, 1], [10, 2]], 2593/967458816000], [[[1, 1], [2, 8], [3, 3], [6, 1], [12, 2]], 11/92876046336], [[[1, 1], [2, 8], [3, 3], [6, 1], [15, 1]], 1/48372940800], [[[1, 1], [2, 8], [3, 3], [6, 1], [20, 1]], 1/32248627200], [[[1, 1], [2, 8], [3, 3], [6, 1], [24, 1]], 1/38698352640], [[[1, 1], [2, 8], [3, 3], [6, 1], [30, 1]], 1/48372940800], [[[1, 1], [2, 8], [3, 3], [6, 2], [9, 1]], 179321/130026464870400], [[[1, 1], [2, 8], [3, 3], [6, 2], [14, 1]], 55/376233984], [[[1, 1], [2, 8], [3, 3], [6, 2], [18, 1]], 3301/87071293440], [[[1, 1], [2, 8], [3, 3], [6, 3], [8, 1]], 241/51597803520], [[[1, 1], [2, 8], [3, 3], [6, 3], [10, 1]], 3463/48372940800], [[[1, 1], [2, 8], [3, 3], [6, 3], [12, 1]], 17539/464380231680], [[[1, 1], [2, 8], [3, 3], [9, 1], [12, 1]], 121/21671077478400], [[[1, 1], [2, 8], [3, 3], [10, 1], [14, 1]], 1/174182400], [[[1, 1], [2, 8], [3, 3], [10, 1], [18, 1]], 1/671846400], [[[1, 1], [2, 8], [3, 4], [4, 1], [6, 3]], 65851/37150418534400], [[[1, 1], [2, 8], [3, 4], [4, 1], [14, 1]], 1/133772083200], [[[1, 1], [2, 8], [3, 4], [4, 1], [18, 1]], 1/515978035200], [[[1, 1], [2, 8], [3, 4], [4, 2], [6, 2]], 77383/222902511206400], [[[1, 1], [2, 8], [3, 4], [4, 2], [8, 1]], 23/11007531417600], [[[1, 1], [2, 8], [3, 4], [4, 2], [10, 1]], 23/6879707136000], [[[1, 1], [2, 8], [3, 4], [4, 2], [12, 1]], 121/15603175784448000], [[[1, 1], [2, 8], [3, 4], [4, 3], [6, 1]], 191/148601674137600], [[[1, 1], [2, 8], [3, 4], [6, 1], [7, 1]], 1/2708884684800], [[[1, 1], [2, 8], [3, 4], [6, 1], [9, 1]], 41/3482851737600], [[[1, 1], [2, 8], [3, 4], [6, 1], [14, 1]], 19/1354442342400], [[[1, 1], [2, 8], [3, 4], [6, 1], [18, 1]], 44921/11702381838336000], [[[1, 1], [2, 8], [3, 4], [6, 2], [8, 1]], 2033/2321901158400], [[[1, 1], [2, 8], [3, 4], [6, 2], [10, 1]], 173/36279705600], [[[1, 1], [2, 8], [3, 4], [6, 2], [12, 1]], 2331173/8916100448256000], [[[1, 1], [2, 8], [3, 4], [8, 1], [10, 1]], 1/143327232000], [[[1, 1], [2, 8], [3, 5], [4, 1], [6, 2]], 2033/3482851737600], [[[1, 1], [2, 8], [3, 5], [4, 1], [10, 1]], 1/214990848000], [[[1, 1], [2, 8], [3, 5], [4, 2], [6, 1]], 11/825564856320], [[[1, 1], [2, 8], [3, 5], [5, 1], [6, 1]], 1/5804752896000], [[[1, 1], [2, 8], [3, 5], [6, 1], [8, 1]], 1/4643802316800], [[[1, 1], [2, 8], [3, 5], [6, 1], [10, 1]], 11/53747712000], [[[1, 1], [2, 8], [3, 5], [6, 1], [12, 1]], 11/4643802316800], [[[1, 1], [2, 8], [3, 6], [4, 1], [6, 1]], 1/4127824281600], [[[1, 1], [2, 8], [4, 1], [5, 1], [6, 5]], 2401/3869835264000], [[[1, 1], [2, 8], [4, 1], [5, 2], [6, 3]], 241/143327232000], [[[1, 1], [2, 8], [4, 1], [5, 2], [14, 1]], 1/516096000], [[[1, 1], [2, 8], [4, 1], [5, 2], [18, 1]], 1/1990656000], [[[1, 1], [2, 8], [4, 1], [5, 3], [6, 1]], 1/14929920000], [[[1, 1], [2, 8], [4, 1], [6, 1], [8, 3]], 7/1698693120], [[[1, 1], [2, 8], [4, 1], [6, 1], [10, 3]], 5321/29859840000], [[[1, 1], [2, 8], [4, 1], [6, 1], [12, 3]], 137/103195607040], [[[1, 1], [2, 8], [4, 1], [6, 1], [14, 2]], 1/602112], [[[1, 1], [2, 8], [4, 1], [6, 1], [18, 2]], 7/59719680], [[[1, 1], [2, 8], [4, 1], [6, 1], [28, 1]], 1/34836480], [[[1, 1], [2, 8], [4, 1], [6, 1], [36, 1]], 1/44789760], [[[1, 1], [2, 8], [4, 1], [6, 3], [8, 2]], 1741/45864714240], [[[1, 1], [2, 8], [4, 1], [6, 3], [10, 2]], 63793/143327232000], [[[1, 1], [2, 8], [4, 1], [6, 3], [12, 2]], 8471/68797071360], [[[1, 1], [2, 8], [4, 1], [6, 3], [15, 1]], 241/7166361600], [[[1, 1], [2, 8], [4, 1], [6, 3], [20, 1]], 241/4777574400], [[[1, 1], [2, 8], [4, 1], [6, 3], [24, 1]], 241/5733089280], [[[1, 1], [2, 8], [4, 1], [6, 3], [30, 1]], 241/7166361600], [[[1, 1], [2, 8], [4, 1], [6, 4], [14, 1]], 1601/133772083200], [[[1, 1], [2, 8], [4, 1], [6, 4], [18, 1]], 1249/57330892800], [[[1, 1], [2, 8], [4, 1], [6, 5], [8, 1]], 48047/12383472844800], [[[1, 1], [2, 8], [4, 1], [6, 5], [10, 1]], 48137/7739670528000], [[[1, 1], [2, 8], [4, 1], [6, 5], [12, 1]], 25501/3715041853440], [[[1, 1], [2, 8], [4, 1], [8, 2], [14, 1]], 61/165150720], [[[1, 1], [2, 8], [4, 1], [8, 2], [18, 1]], 61/637009920], [[[1, 1], [2, 8], [4, 1], [10, 2], [14, 1]], 193/516096000], [[[1, 1], [2, 8], [4, 1], [10, 2], [18, 1]], 193/1990656000], [[[1, 1], [2, 8], [4, 1], [12, 2], [14, 1]], 1/247726080], [[[1, 1], [2, 8], [4, 1], [12, 2], [18, 1]], 1/955514880], [[[1, 1], [2, 8], [4, 1], [14, 1], [15, 1]], 1/25804800], [[[1, 1], [2, 8], [4, 1], [14, 1], [20, 1]], 1/17203200], [[[1, 1], [2, 8], [4, 1], [14, 1], [24, 1]], 1/20643840], [[[1, 1], [2, 8], [4, 1], [14, 1], [30, 1]], 1/25804800], [[[1, 1], [2, 8], [4, 1], [15, 1], [18, 1]], 1/99532800], [[[1, 1], [2, 8], [4, 1], [18, 1], [20, 1]], 1/66355200], [[[1, 1], [2, 8], [4, 1], [18, 1], [24, 1]], 1/79626240], [[[1, 1], [2, 8], [4, 1], [18, 1], [30, 1]], 1/99532800], [[[1, 1], [2, 8], [4, 2], [5, 2], [6, 2]], 433/859963392000], [[[1, 1], [2, 8], [4, 2], [5, 2], [8, 1]], 23/42467328000], [[[1, 1], [2, 8], [4, 2], [5, 2], [10, 1]], 23/26542080000], [[[1, 1], [2, 8], [4, 2], [5, 2], [12, 1]], 121/60197437440000], [[[1, 1], [2, 8], [4, 2], [6, 2], [8, 2]], 44173/275188285440], [[[1, 1], [2, 8], [4, 2], [6, 2], [10, 2]], 173449/859963392000], [[[1, 1], [2, 8], [4, 2], [6, 2], [12, 2]], 189577/9631589990400], [[[1, 1], [2, 8], [4, 2], [6, 2], [15, 1]], 433/42998169600], [[[1, 1], [2, 8], [4, 2], [6, 2], [20, 1]], 433/28665446400], [[[1, 1], [2, 8], [4, 2], [6, 2], [24, 1]], 433/34398535680], [[[1, 1], [2, 8], [4, 2], [6, 2], [30, 1]], 433/42998169600], [[[1, 1], [2, 8], [4, 2], [6, 3], [7, 1]], 97/8026324992], [[[1, 1], [2, 8], [4, 2], [6, 3], [9, 1]], 97/10319560704], [[[1, 1], [2, 8], [4, 2], [6, 3], [14, 1]], 785/8026324992], [[[1, 1], [2, 8], [4, 2], [6, 3], [18, 1]], 5761/154793410560], [[[1, 1], [2, 8], [4, 2], [6, 4], [8, 1]], 36541/3669177139200], [[[1, 1], [2, 8], [4, 2], [6, 4], [10, 1]], 35887/764411904000], [[[1, 1], [2, 8], [4, 2], [6, 4], [12, 1]], 493053521/15603175784448000], [[[1, 1], [2, 8], [4, 2], [7, 1], [14, 1]], 1/28901376], [[[1, 1], [2, 8], [4, 2], [7, 1], [18, 1]], 1/111476736], [[[1, 1], [2, 8], [4, 2], [8, 1], [10, 2]], 3479/42467328000], [[[1, 1], [2, 8], [4, 2], [8, 1], [12, 2]], 23/20384317440], [[[1, 1], [2, 8], [4, 2], [8, 1], [15, 1]], 23/2123366400], [[[1, 1], [2, 8], [4, 2], [8, 1], [16, 1]], 121/356725555200], [[[1, 1], [2, 8], [4, 2], [8, 1], [20, 1]], 23/1415577600], [[[1, 1], [2, 8], [4, 2], [8, 1], [24, 1]], 23/1698693120], [[[1, 1], [2, 8], [4, 2], [8, 1], [30, 1]], 23/2123366400], [[[1, 1], [2, 8], [4, 2], [8, 2], [10, 1]], 3371/8493465600], [[[1, 1], [2, 8], [4, 2], [8, 2], [12, 1]], 1573/19263179980800], [[[1, 1], [2, 8], [4, 2], [9, 1], [14, 1]], 1/37158912], [[[1, 1], [2, 8], [4, 2], [9, 1], [18, 1]], 1/143327232], [[[1, 1], [2, 8], [4, 2], [10, 1], [12, 2]], 23/12740198400], [[[1, 1], [2, 8], [4, 2], [10, 1], [15, 1]], 23/1327104000], [[[1, 1], [2, 8], [4, 2], [10, 1], [20, 1]], 23/884736000], [[[1, 1], [2, 8], [4, 2], [10, 1], [24, 1]], 23/1061683200], [[[1, 1], [2, 8], [4, 2], [10, 1], [30, 1]], 23/1327104000], [[[1, 1], [2, 8], [4, 2], [10, 2], [12, 1]], 3048313/60197437440000], [[[1, 1], [2, 8], [4, 2], [12, 1], [15, 1]], 121/3009871872000], [[[1, 1], [2, 8], [4, 2], [12, 1], [20, 1]], 1573/2006581248000], [[[1, 1], [2, 8], [4, 2], [12, 1], [24, 1]], 121/343985356800], [[[1, 1], [2, 8], [4, 2], [12, 1], [30, 1]], 121/3009871872000], [[[1, 1], [2, 8], [4, 2], [14, 1], [18, 1]], 17/111476736], [[[1, 1], [2, 8], [4, 3], [5, 1], [6, 3]], 97/11466178560], [[[1, 1], [2, 8], [4, 3], [5, 1], [14, 1]], 1/41287680], [[[1, 1], [2, 8], [4, 3], [5, 1], [18, 1]], 1/159252480], [[[1, 1], [2, 8], [4, 3], [5, 2], [6, 1]], 191/573308928000], [[[1, 1], [2, 8], [4, 3], [6, 1], [8, 2]], 18917/183458856960], [[[1, 1], [2, 8], [4, 3], [6, 1], [10, 2]], 22223/573308928000], [[[1, 1], [2, 8], [4, 3], [6, 1], [12, 2]], 3983/275188285440], [[[1, 1], [2, 8], [4, 3], [6, 1], [15, 1]], 191/28665446400], [[[1, 1], [2, 8], [4, 3], [6, 1], [16, 1]], 1/477757440], [[[1, 1], [2, 8], [4, 3], [6, 1], [20, 1]], 319/19110297600], [[[1, 1], [2, 8], [4, 3], [6, 1], [24, 1]], 191/22932357120], [[[1, 1], [2, 8], [4, 3], [6, 1], [30, 1]], 191/28665446400], [[[1, 1], [2, 8], [4, 3], [6, 2], [14, 1]], 19/111476736], [[[1, 1], [2, 8], [4, 3], [6, 2], [18, 1]], 2471/51597803520], [[[1, 1], [2, 8], [4, 3], [6, 3], [8, 1]], 829/18345885696], [[[1, 1], [2, 8], [4, 3], [6, 3], [10, 1]], 187/2123366400], [[[1, 1], [2, 8], [4, 3], [6, 3], [12, 1]], 17047/275188285440], [[[1, 1], [2, 8], [4, 3], [7, 1], [8, 1]], 1/132120576], [[[1, 1], [2, 8], [4, 3], [8, 1], [9, 1]], 1/169869312], [[[1, 1], [2, 8], [4, 3], [8, 1], [14, 1]], 1/5505024], [[[1, 1], [2, 8], [4, 3], [8, 1], [18, 1]], 13/254803968], [[[1, 1], [2, 8], [4, 3], [10, 1], [14, 1]], 1/22937600], [[[1, 1], [2, 8], [4, 3], [10, 1], [18, 1]], 1/88473600], [[[1, 1], [2, 8], [4, 3], [12, 1], [14, 1]], 1/17694720], [[[1, 1], [2, 8], [4, 3], [12, 1], [18, 1]], 7/477757440], [[[1, 1], [2, 8], [4, 4], [5, 1], [8, 1]], 1/188743680], [[[1, 1], [2, 8], [4, 4], [6, 1], [7, 1]], 193/114661785600], [[[1, 1], [2, 8], [4, 4], [6, 1], [9, 1]], 1351/1031956070400], [[[1, 1], [2, 8], [4, 4], [6, 1], [14, 1]], 9469/401316249600], [[[1, 1], [2, 8], [4, 4], [6, 1], [18, 1]], 25418171/3467372396544000], [[[1, 1], [2, 8], [4, 4], [6, 2], [8, 1]], 27683/687970713600], [[[1, 1], [2, 8], [4, 4], [6, 2], [10, 1]], 773/42998169600], [[[1, 1], [2, 8], [4, 4], [6, 2], [12, 1]], 58574057/6164217593856000], [[[1, 1], [2, 8], [4, 4], [8, 1], [10, 1]], 203/21233664000], [[[1, 1], [2, 8], [4, 4], [8, 1], [12, 1]], 17/1274019840], [[[1, 1], [2, 8], [4, 4], [10, 1], [12, 1]], 23/3185049600], [[[1, 1], [2, 8], [4, 5], [5, 1], [6, 1]], 1351/1146617856000], [[[1, 1], [2, 8], [4, 5], [6, 1], [8, 1]], 31289/3669177139200], [[[1, 1], [2, 8], [4, 5], [6, 1], [10, 1]], 6347/2293235712000], [[[1, 1], [2, 8], [4, 5], [6, 1], [12, 1]], 27977/5503765708800], [[[1, 1], [2, 8], [5, 2], [6, 1], [7, 1]], 1/10450944000], [[[1, 1], [2, 8], [5, 2], [6, 1], [9, 1]], 1/13436928000], [[[1, 1], [2, 8], [5, 2], [6, 1], [14, 1]], 19/5225472000], [[[1, 1], [2, 8], [5, 2], [6, 1], [18, 1]], 44921/45148078080000], [[[1, 1], [2, 8], [5, 2], [6, 2], [8, 1]], 1/1119744000], [[[1, 1], [2, 8], [5, 2], [6, 2], [10, 1]], 7/1119744000], [[[1, 1], [2, 8], [5, 2], [6, 2], [12, 1]], 179321/240789749760000], [[[1, 1], [2, 8], [5, 2], [8, 1], [10, 1]], 1/552960000], [[[1, 1], [2, 8], [6, 1], [7, 1], [8, 2]], 1/3344302080], [[[1, 1], [2, 8], [6, 1], [7, 1], [10, 2]], 2593/10450944000], [[[1, 1], [2, 8], [6, 1], [7, 1], [12, 2]], 1/5016453120], [[[1, 1], [2, 8], [6, 1], [7, 1], [15, 1]], 1/522547200], [[[1, 1], [2, 8], [6, 1], [7, 1], [20, 1]], 1/348364800], [[[1, 1], [2, 8], [6, 1], [7, 1], [24, 1]], 1/418037760], [[[1, 1], [2, 8], [6, 1], [7, 1], [30, 1]], 1/522547200], [[[1, 1], [2, 8], [6, 1], [8, 2], [9, 1]], 1/4299816960], [[[1, 1], [2, 8], [6, 1], [8, 2], [14, 1]], 19/1672151040], [[[1, 1], [2, 8], [6, 1], [8, 2], [18, 1]], 44921/14447384985600], [[[1, 1], [2, 8], [6, 1], [9, 1], [10, 2]], 2593/13436928000], [[[1, 1], [2, 8], [6, 1], [9, 1], [12, 2]], 1/6449725440], [[[1, 1], [2, 8], [6, 1], [9, 1], [15, 1]], 1/671846400], [[[1, 1], [2, 8], [6, 1], [9, 1], [20, 1]], 1/447897600], [[[1, 1], [2, 8], [6, 1], [9, 1], [24, 1]], 1/537477120], [[[1, 1], [2, 8], [6, 1], [9, 1], [30, 1]], 1/671846400], [[[1, 1], [2, 8], [6, 1], [10, 2], [14, 1]], 16867/5225472000], [[[1, 1], [2, 8], [6, 1], [10, 2], [18, 1]], 46638713/45148078080000], [[[1, 1], [2, 8], [6, 1], [12, 2], [14, 1]], 19/2508226560], [[[1, 1], [2, 8], [6, 1], [12, 2], [18, 1]], 44921/21671077478400], [[[1, 1], [2, 8], [6, 1], [14, 1], [15, 1]], 19/261273600], [[[1, 1], [2, 8], [6, 1], [14, 1], [20, 1]], 19/174182400], [[[1, 1], [2, 8], [6, 1], [14, 1], [24, 1]], 19/209018880], [[[1, 1], [2, 8], [6, 1], [14, 1], [30, 1]], 19/261273600], [[[1, 1], [2, 8], [6, 1], [15, 1], [18, 1]], 44921/2257403904000], [[[1, 1], [2, 8], [6, 1], [18, 1], [20, 1]], 44921/1504935936000], [[[1, 1], [2, 8], [6, 1], [18, 1], [24, 1]], 44921/1805923123200], [[[1, 1], [2, 8], [6, 1], [18, 1], [30, 1]], 44921/2257403904000], [[[1, 1], [2, 8], [6, 2], [7, 1], [14, 1]], 1/4064256], [[[1, 1], [2, 8], [6, 2], [7, 1], [18, 1]], 61/940584960], [[[1, 1], [2, 8], [6, 2], [8, 1], [10, 2]], 731/2239488000], [[[1, 1], [2, 8], [6, 2], [8, 1], [12, 2]], 143/4299816960], [[[1, 1], [2, 8], [6, 2], [8, 1], [15, 1]], 1/55987200], [[[1, 1], [2, 8], [6, 2], [8, 1], [20, 1]], 1/37324800], [[[1, 1], [2, 8], [6, 2], [8, 1], [24, 1]], 1/44789760], [[[1, 1], [2, 8], [6, 2], [8, 1], [30, 1]], 1/55987200], [[[1, 1], [2, 8], [6, 2], [8, 2], [10, 1]], 7/358318080], [[[1, 1], [2, 8], [6, 2], [8, 2], [12, 1]], 179321/77052719923200], [[[1, 1], [2, 8], [6, 2], [9, 1], [14, 1]], 1/5225472], [[[1, 1], [2, 8], [6, 2], [9, 1], [18, 1]], 61/1209323520], [[[1, 1], [2, 8], [6, 2], [10, 1], [12, 2]], 247/1343692800], [[[1, 1], [2, 8], [6, 2], [10, 1], [15, 1]], 7/55987200], [[[1, 1], [2, 8], [6, 2], [10, 1], [20, 1]], 7/37324800], [[[1, 1], [2, 8], [6, 2], [10, 1], [24, 1]], 7/44789760], [[[1, 1], [2, 8], [6, 2], [10, 1], [30, 1]], 7/55987200], [[[1, 1], [2, 8], [6, 2], [10, 2], [12, 1]], 177409913/240789749760000], [[[1, 1], [2, 8], [6, 2], [12, 1], [15, 1]], 179321/12039487488000], [[[1, 1], [2, 8], [6, 2], [12, 1], [20, 1]], 179321/8026324992000], [[[1, 1], [2, 8], [6, 2], [12, 1], [24, 1]], 179321/9631589990400], [[[1, 1], [2, 8], [6, 2], [12, 1], [30, 1]], 179321/12039487488000], [[[1, 1], [2, 8], [6, 2], [14, 1], [18, 1]], 349/470292480], [[[1, 1], [2, 8], [6, 3], [7, 1], [10, 1]], 61/522547200], [[[1, 1], [2, 8], [6, 3], [7, 1], [12, 1]], 241/5016453120], [[[1, 1], [2, 8], [6, 3], [8, 1], [14, 1]], 25/167215104], [[[1, 1], [2, 8], [6, 3], [8, 1], [18, 1]], 157/3224862720], [[[1, 1], [2, 8], [6, 3], [9, 1], [10, 1]], 61/671846400], [[[1, 1], [2, 8], [6, 3], [9, 1], [12, 1]], 241/6449725440], [[[1, 1], [2, 8], [6, 3], [10, 1], [14, 1]], 37/34836480], [[[1, 1], [2, 8], [6, 3], [10, 1], [18, 1]], 817/2015539200], [[[1, 1], [2, 8], [6, 3], [12, 1], [14, 1]], 1339/2508226560], [[[1, 1], [2, 8], [6, 3], [12, 1], [18, 1]], 137723/802632499200], [[[1, 1], [2, 8], [6, 4], [8, 1], [10, 1]], 1129/15925248000], [[[1, 1], [2, 8], [6, 4], [8, 1], [12, 1]], 133/4299816960], [[[1, 1], [2, 8], [6, 4], [10, 1], [12, 1]], 89/335923200], [[[1, 1], [2, 8], [7, 1], [10, 1], [14, 1]], 1/1881600], [[[1, 1], [2, 8], [7, 1], [10, 1], [18, 1]], 1/7257600], [[[1, 1], [2, 8], [8, 1], [10, 1], [12, 2]], 1/265420800], [[[1, 1], [2, 8], [8, 1], [10, 1], [15, 1]], 1/27648000], [[[1, 1], [2, 8], [8, 1], [10, 1], [20, 1]], 1/18432000], [[[1, 1], [2, 8], [8, 1], [10, 1], [24, 1]], 1/22118400], [[[1, 1], [2, 8], [8, 1], [10, 1], [30, 1]], 1/27648000], [[[1, 1], [2, 8], [8, 1], [14, 1], [18, 1]], 1/2322432], [[[1, 1], [2, 8], [9, 1], [10, 1], [14, 1]], 1/2419200], [[[1, 1], [2, 8], [9, 1], [10, 1], [18, 1]], 1/9331200], [[[1, 1], [2, 8], [10, 1], [14, 1], [18, 1]], 1/483840], [[[1, 1], [2, 10], [3, 1], [4, 1], [6, 5]], 2927027/5201058594816000], [[[1, 1], [2, 10], [3, 1], [4, 2], [6, 4]], 989/412782428160], [[[1, 1], [2, 10], [3, 1], [4, 2], [12, 2]], 1/4815794995200], [[[1, 1], [2, 10], [3, 1], [4, 3], [6, 3]], 637/825564856320], [[[1, 1], [2, 10], [3, 1], [4, 3], [9, 1]], 1891/57789539942400], [[[1, 1], [2, 10], [3, 1], [4, 3], [14, 1]], 1/594542592], [[[1, 1], [2, 10], [3, 1], [4, 3], [18, 1]], 1/2293235712], [[[1, 1], [2, 10], [3, 1], [4, 4], [5, 1]], 47251/3852635996160000], [[[1, 1], [2, 10], [3, 1], [4, 4], [6, 2]], 6099731/18492652781568000], [[[1, 1], [2, 10], [3, 1], [4, 4], [8, 1]], 1181251/3082108796928000], [[[1, 1], [2, 10], [3, 1], [4, 4], [12, 1]], 47251/3082108796928000], [[[1, 1], [2, 10], [3, 1], [4, 5], [6, 1]], 425531/4623163195392000], [[[1, 1], [2, 10], [3, 1], [5, 1], [6, 4]], 8108801/13002646487040000], [[[1, 1], [2, 10], [3, 1], [5, 1], [8, 2]], 1/16052649984000], [[[1, 1], [2, 10], [3, 1], [5, 1], [10, 2]], 145153/50164531200000], [[[1, 1], [2, 10], [3, 1], [5, 1], [12, 2]], 1/24078974976000], [[[1, 1], [2, 10], [3, 1], [5, 1], [15, 1]], 1/2508226560000], [[[1, 1], [2, 10], [3, 1], [5, 1], [20, 1]], 1/1672151040000], [[[1, 1], [2, 10], [3, 1], [5, 1], [24, 1]], 1/2006581248000], [[[1, 1], [2, 10], [3, 1], [5, 1], [30, 1]], 1/2508226560000], [[[1, 1], [2, 10], [3, 1], [5, 2], [6, 2]], 4481/240789749760000], [[[1, 1], [2, 10], [3, 1], [5, 2], [8, 1]], 1/40131624960000], [[[1, 1], [2, 10], [3, 1], [5, 2], [12, 1]], 1/40131624960000], [[[1, 1], [2, 10], [3, 1], [6, 2], [8, 2]], 4481/77052719923200], [[[1, 1], [2, 10], [3, 1], [6, 2], [10, 2]], 11761793/240789749760000], [[[1, 1], [2, 10], [3, 1], [6, 2], [12, 2]], 4481/16511297126400], [[[1, 1], [2, 10], [3, 1], [6, 2], [15, 1]], 4481/12039487488000], [[[1, 1], [2, 10], [3, 1], [6, 2], [20, 1]], 4481/8026324992000], [[[1, 1], [2, 10], [3, 1], [6, 2], [24, 1]], 4481/9631589990400], [[[1, 1], [2, 10], [3, 1], [6, 2], [30, 1]], 4481/12039487488000], [[[1, 1], [2, 10], [3, 1], [6, 3], [9, 1]], 72271/146279772979200], [[[1, 1], [2, 10], [3, 1], [6, 3], [14, 1]], 241/5016453120], [[[1, 1], [2, 10], [3, 1], [6, 3], [18, 1]], 10163/802632499200], [[[1, 1], [2, 10], [3, 1], [6, 4], [8, 1]], 8108801/10402117189632000], [[[1, 1], [2, 10], [3, 1], [6, 4], [10, 1]], 251/10749542400], [[[1, 1], [2, 10], [3, 1], [6, 4], [12, 1]], 15097613/1486016741376000], [[[1, 1], [2, 10], [3, 1], [7, 1], [9, 1]], 1/2106910310400], [[[1, 1], [2, 10], [3, 1], [8, 1], [10, 2]], 145153/40131624960000], [[[1, 1], [2, 10], [3, 1], [8, 1], [12, 2]], 1/19263179980800], [[[1, 1], [2, 10], [3, 1], [8, 1], [15, 1]], 1/2006581248000], [[[1, 1], [2, 10], [3, 1], [8, 1], [20, 1]], 1/1337720832000], [[[1, 1], [2, 10], [3, 1], [8, 1], [24, 1]], 1/1605264998400], [[[1, 1], [2, 10], [3, 1], [8, 1], [30, 1]], 1/2006581248000], [[[1, 1], [2, 10], [3, 1], [8, 2], [12, 1]], 1/12842119987200], [[[1, 1], [2, 10], [3, 1], [9, 1], [14, 1]], 61/1053455155200], [[[1, 1], [2, 10], [3, 1], [9, 1], [18, 1]], 31/2031663513600], [[[1, 1], [2, 10], [3, 1], [10, 2], [12, 1]], 145153/40131624960000], [[[1, 1], [2, 10], [3, 1], [12, 1], [15, 1]], 1/2006581248000], [[[1, 1], [2, 10], [3, 1], [12, 1], [20, 1]], 1/1337720832000], [[[1, 1], [2, 10], [3, 1], [12, 1], [24, 1]], 1/1605264998400], [[[1, 1], [2, 10], [3, 1], [12, 1], [30, 1]], 1/2006581248000], [[[1, 1], [2, 10], [3, 2], [4, 1], [6, 4]], 487/412782428160], [[[1, 1], [2, 10], [3, 2], [4, 1], [12, 2]], 1/9631589990400], [[[1, 1], [2, 10], [3, 2], [4, 2], [6, 3]], 184117/462316319539200], [[[1, 1], [2, 10], [3, 2], [4, 3], [6, 2]], 429731/1849265278156800], [[[1, 1], [2, 10], [3, 2], [4, 3], [12, 1]], 1891/308210879692800], [[[1, 1], [2, 10], [3, 2], [4, 4], [6, 1]], 330781/13869489586176000], [[[1, 1], [2, 10], [3, 2], [5, 1], [9, 1]], 1/4514807808000], [[[1, 1], [2, 10], [3, 2], [5, 2], [6, 1]], 31/180592312320000], [[[1, 1], [2, 10], [3, 2], [6, 1], [8, 2]], 31/57789539942400], [[[1, 1], [2, 10], [3, 2], [6, 1], [10, 2]], 870943/180592312320000], [[[1, 1], [2, 10], [3, 2], [6, 1], [12, 2]], 31/12383472844800], [[[1, 1], [2, 10], [3, 2], [6, 1], [15, 1]], 31/9029615616000], [[[1, 1], [2, 10], [3, 2], [6, 1], [20, 1]], 31/6019743744000], [[[1, 1], [2, 10], [3, 2], [6, 1], [24, 1]], 31/7223692492800], [[[1, 1], [2, 10], [3, 2], [6, 1], [30, 1]], 31/9029615616000], [[[1, 1], [2, 10], [3, 2], [6, 2], [7, 1]], 4481/67421129932800], [[[1, 1], [2, 10], [3, 2], [6, 2], [9, 1]], 4481/17336861982720], [[[1, 1], [2, 10], [3, 2], [6, 2], [14, 1]], 91901/33710564966400], [[[1, 1], [2, 10], [3, 2], [6, 2], [18, 1]], 3221/4334215495680], [[[1, 1], [2, 10], [3, 2], [6, 3], [8, 1]], 23987/38526359961600], [[[1, 1], [2, 10], [3, 2], [6, 3], [10, 1]], 121111/24078974976000], [[[1, 1], [2, 10], [3, 2], [6, 3], [12, 1]], 506269/780158789222400], [[[1, 1], [2, 10], [3, 2], [7, 1], [12, 1]], 1/11236854988800], [[[1, 1], [2, 10], [3, 2], [8, 1], [9, 1]], 1/3611846246400], [[[1, 1], [2, 10], [3, 2], [9, 1], [12, 1]], 1/2889476997120], [[[1, 1], [2, 10], [3, 2], [12, 1], [14, 1]], 61/5618427494400], [[[1, 1], [2, 10], [3, 2], [12, 1], [18, 1]], 31/10835538739200], [[[1, 1], [2, 10], [3, 3], [4, 1], [6, 3]], 4799/11557907988480], [[[1, 1], [2, 10], [3, 3], [4, 2], [6, 2]], 829/3715041853440], [[[1, 1], [2, 10], [3, 3], [4, 2], [10, 1]], 1/114661785600], [[[1, 1], [2, 10], [3, 3], [4, 2], [12, 1]], 1/260052929740800], [[[1, 1], [2, 10], [3, 3], [4, 3], [6, 1]], 1/18345885696], [[[1, 1], [2, 10], [3, 3], [5, 1], [6, 2]], 4481/144473849856000], [[[1, 1], [2, 10], [3, 3], [5, 1], [12, 1]], 1/24078974976000], [[[1, 1], [2, 10], [3, 3], [6, 1], [9, 1]], 31/16253308108800], [[[1, 1], [2, 10], [3, 3], [6, 1], [14, 1]], 1/45148078080], [[[1, 1], [2, 10], [3, 3], [6, 1], [18, 1]], 1121/195039697305600], [[[1, 1], [2, 10], [3, 3], [6, 2], [8, 1]], 4481/115579079884800], [[[1, 1], [2, 10], [3, 3], [6, 2], [10, 1]], 331/96745881600], [[[1, 1], [2, 10], [3, 3], [6, 2], [12, 1]], 85139/1040211718963200], [[[1, 1], [2, 10], [3, 3], [8, 1], [12, 1]], 1/19263179980800], [[[1, 1], [2, 10], [3, 4], [4, 1], [5, 1]], 1/8668430991360000], [[[1, 1], [2, 10], [3, 4], [4, 1], [6, 2]], 163/7430083706880], [[[1, 1], [2, 10], [3, 4], [4, 1], [8, 1]], 131/27738979172352000], [[[1, 1], [2, 10], [3, 4], [4, 1], [10, 1]], 1513/8668430991360000], [[[1, 1], [2, 10], [3, 4], [4, 1], [12, 1]], 1/5201058594816000], [[[1, 1], [2, 10], [3, 4], [4, 2], [6, 1]], 3551/124825406275584000], [[[1, 1], [2, 10], [3, 4], [6, 1], [8, 1]], 281/10402117189632000], [[[1, 1], [2, 10], [3, 4], [6, 1], [10, 1]], 2693/6501323243520000], [[[1, 1], [2, 10], [3, 4], [6, 1], [12, 1]], 403/1114512556032000], [[[1, 1], [2, 10], [3, 5], [4, 1], [6, 1]], 281/15603175784448000], [[[1, 1], [2, 10], [4, 1], [5, 1], [6, 4]], 8108801/8668430991360000], [[[1, 1], [2, 10], [4, 1], [5, 1], [8, 2]], 1/10701766656000], [[[1, 1], [2, 10], [4, 1], [5, 1], [10, 2]], 145153/33443020800000], [[[1, 1], [2, 10], [4, 1], [5, 1], [12, 2]], 1/16052649984000], [[[1, 1], [2, 10], [4, 1], [5, 1], [15, 1]], 1/1672151040000], [[[1, 1], [2, 10], [4, 1], [5, 1], [20, 1]], 1/1114767360000], [[[1, 1], [2, 10], [4, 1], [5, 1], [24, 1]], 1/1337720832000], [[[1, 1], [2, 10], [4, 1], [5, 1], [30, 1]], 1/1672151040000], [[[1, 1], [2, 10], [4, 1], [5, 2], [6, 2]], 1/28665446400], [[[1, 1], [2, 10], [4, 1], [5, 2], [8, 1]], 131/107017666560000], [[[1, 1], [2, 10], [4, 1], [5, 2], [10, 1]], 1513/33443020800000], [[[1, 1], [2, 10], [4, 1], [5, 2], [12, 1]], 1/20065812480000], [[[1, 1], [2, 10], [4, 1], [6, 2], [8, 2]], 197/45864714240], [[[1, 1], [2, 10], [4, 1], [6, 2], [10, 2]], 6509/143327232000], [[[1, 1], [2, 10], [4, 1], [6, 2], [12, 2]], 4247/3210529996800], [[[1, 1], [2, 10], [4, 1], [6, 2], [15, 1]], 1/1433272320], [[[1, 1], [2, 10], [4, 1], [6, 2], [20, 1]], 1/955514880], [[[1, 1], [2, 10], [4, 1], [6, 2], [24, 1]], 1/1146617856], [[[1, 1], [2, 10], [4, 1], [6, 2], [30, 1]], 1/1433272320], [[[1, 1], [2, 10], [4, 1], [6, 3], [14, 1]], 241/6688604160], [[[1, 1], [2, 10], [4, 1], [6, 3], [18, 1]], 251/25798901760], [[[1, 1], [2, 10], [4, 1], [6, 4], [8, 1]], 187712131/27738979172352000], [[[1, 1], [2, 10], [4, 1], [6, 4], [10, 1]], 156286313/8668430991360000], [[[1, 1], [2, 10], [4, 1], [6, 4], [12, 1]], 44926001/5201058594816000], [[[1, 1], [2, 10], [4, 1], [7, 1], [14, 1]], 1/78033715200], [[[1, 1], [2, 10], [4, 1], [8, 1], [10, 2]], 4499843/107017666560000], [[[1, 1], [2, 10], [4, 1], [8, 1], [12, 2]], 131/51368479948800], [[[1, 1], [2, 10], [4, 1], [8, 1], [15, 1]], 131/5350883328000], [[[1, 1], [2, 10], [4, 1], [8, 1], [16, 1]], 1/35672555520], [[[1, 1], [2, 10], [4, 1], [8, 1], [20, 1]], 163/3567255552000], [[[1, 1], [2, 10], [4, 1], [8, 1], [24, 1]], 13/285380444160], [[[1, 1], [2, 10], [4, 1], [8, 1], [30, 1]], 131/5350883328000], [[[1, 1], [2, 10], [4, 1], [8, 2], [10, 1]], 92233/10701766656000], [[[1, 1], [2, 10], [4, 1], [8, 2], [12, 1]], 1/6421059993600], [[[1, 1], [2, 10], [4, 1], [9, 1], [18, 1]], 1/100329062400], [[[1, 1], [2, 10], [4, 1], [10, 1], [12, 2]], 1513/16052649984000], [[[1, 1], [2, 10], [4, 1], [10, 1], [15, 1]], 1513/1672151040000], [[[1, 1], [2, 10], [4, 1], [10, 1], [20, 1]], 1513/1114767360000], [[[1, 1], [2, 10], [4, 1], [10, 1], [24, 1]], 1513/1337720832000], [[[1, 1], [2, 10], [4, 1], [10, 1], [30, 1]], 1513/1672151040000], [[[1, 1], [2, 10], [4, 1], [10, 2], [12, 1]], 145153/20065812480000], [[[1, 1], [2, 10], [4, 1], [12, 1], [15, 1]], 1/1003290624000], [[[1, 1], [2, 10], [4, 1], [12, 1], [16, 1]], 1/133772083200], [[[1, 1], [2, 10], [4, 1], [12, 1], [20, 1]], 1/133772083200], [[[1, 1], [2, 10], [4, 1], [12, 1], [24, 1]], 1/114661785600], [[[1, 1], [2, 10], [4, 1], [12, 1], [30, 1]], 1/1003290624000], [[[1, 1], [2, 10], [4, 1], [14, 1], [18, 1]], 1/92897280], [[[1, 1], [2, 10], [4, 2], [5, 2], [6, 1]], 3551/481579499520000], [[[1, 1], [2, 10], [4, 2], [6, 1], [8, 2]], 434471/154105439846400], [[[1, 1], [2, 10], [4, 2], [6, 1], [10, 2]], 7406303/481579499520000], [[[1, 1], [2, 10], [4, 2], [6, 1], [12, 2]], 41/1712282664960], [[[1, 1], [2, 10], [4, 2], [6, 1], [15, 1]], 3551/24078974976000], [[[1, 1], [2, 10], [4, 2], [6, 1], [20, 1]], 3551/16052649984000], [[[1, 1], [2, 10], [4, 2], [6, 1], [24, 1]], 3551/19263179980800], [[[1, 1], [2, 10], [4, 2], [6, 1], [30, 1]], 3551/24078974976000], [[[1, 1], [2, 10], [4, 2], [6, 2], [7, 1]], 19/40131624960], [[[1, 1], [2, 10], [4, 2], [6, 2], [9, 1]], 19/51597803520], [[[1, 1], [2, 10], [4, 2], [6, 2], [14, 1]], 113/10032906240], [[[1, 1], [2, 10], [4, 2], [6, 2], [18, 1]], 5213/1605264998400], [[[1, 1], [2, 10], [4, 2], [6, 3], [8, 1]], 995/110075314176], [[[1, 1], [2, 10], [4, 2], [6, 3], [10, 1]], 1733/171992678400], [[[1, 1], [2, 10], [4, 2], [6, 3], [12, 1]], 17226149/6241270313779200], [[[1, 1], [2, 10], [4, 2], [7, 1], [10, 1]], 1/1238630400], [[[1, 1], [2, 10], [4, 2], [7, 1], [12, 1]], 1/2809213747200], [[[1, 1], [2, 10], [4, 2], [8, 1], [14, 1]], 23/1981808640], [[[1, 1], [2, 10], [4, 2], [8, 1], [18, 1]], 23/7644119040], [[[1, 1], [2, 10], [4, 2], [9, 1], [10, 1]], 1/1592524800], [[[1, 1], [2, 10], [4, 2], [9, 1], [12, 1]], 1/3611846246400], [[[1, 1], [2, 10], [4, 2], [10, 1], [14, 1]], 1/51609600], [[[1, 1], [2, 10], [4, 2], [10, 1], [18, 1]], 13/2388787200], [[[1, 1], [2, 10], [4, 2], [12, 1], [14, 1]], 61/1404606873600], [[[1, 1], [2, 10], [4, 2], [12, 1], [18, 1]], 31/2708884684800], [[[1, 1], [2, 10], [4, 3], [5, 1], [6, 2]], 19/57330892800], [[[1, 1], [2, 10], [4, 3], [5, 1], [10, 1]], 1/1769472000], [[[1, 1], [2, 10], [4, 3], [5, 1], [12, 1]], 1/4013162496000], [[[1, 1], [2, 10], [4, 3], [6, 1], [14, 1]], 191/26754416640], [[[1, 1], [2, 10], [4, 3], [6, 1], [18, 1]], 108851/57789539942400], [[[1, 1], [2, 10], [4, 3], [6, 2], [8, 1]], 623/183458856960], [[[1, 1], [2, 10], [4, 3], [6, 2], [10, 1]], 73/9555148800], [[[1, 1], [2, 10], [4, 3], [6, 2], [12, 1]], 76619/34245653299200], [[[1, 1], [2, 10], [4, 3], [8, 1], [10, 1]], 11/1887436800], [[[1, 1], [2, 10], [4, 3], [8, 1], [12, 1]], 31/2568423997440], [[[1, 1], [2, 10], [4, 3], [10, 1], [12, 1]], 5293/4013162496000], [[[1, 1], [2, 10], [4, 4], [6, 1], [8, 1]], 5238731/3082108796928000], [[[1, 1], [2, 10], [4, 4], [6, 1], [10, 1]], 2355743/1926317998080000], [[[1, 1], [2, 10], [4, 4], [6, 1], [12, 1]], 157607/770527199232000], [[[1, 1], [2, 10], [5, 2], [6, 1], [8, 1]], 281/40131624960000], [[[1, 1], [2, 10], [5, 2], [6, 1], [10, 1]], 2693/25082265600000], [[[1, 1], [2, 10], [5, 2], [6, 1], [12, 1]], 31/30098718720000], [[[1, 1], [2, 10], [6, 1], [7, 1], [14, 1]], 1/487710720], [[[1, 1], [2, 10], [6, 1], [7, 1], [18, 1]], 1121/2106910310400], [[[1, 1], [2, 10], [6, 1], [8, 1], [10, 2]], 871193/40131624960000], [[[1, 1], [2, 10], [6, 1], [8, 1], [12, 2]], 281/19263179980800], [[[1, 1], [2, 10], [6, 1], [8, 1], [15, 1]], 281/2006581248000], [[[1, 1], [2, 10], [6, 1], [8, 1], [20, 1]], 281/1337720832000], [[[1, 1], [2, 10], [6, 1], [8, 1], [24, 1]], 281/1605264998400], [[[1, 1], [2, 10], [6, 1], [8, 1], [30, 1]], 281/2006581248000], [[[1, 1], [2, 10], [6, 1], [8, 2], [10, 1]], 2693/8026324992000], [[[1, 1], [2, 10], [6, 1], [8, 2], [12, 1]], 31/9631589990400], [[[1, 1], [2, 10], [6, 1], [9, 1], [14, 1]], 1/627056640], [[[1, 1], [2, 10], [6, 1], [9, 1], [18, 1]], 1121/2708884684800], [[[1, 1], [2, 10], [6, 1], [10, 1], [12, 2]], 2693/12039487488000], [[[1, 1], [2, 10], [6, 1], [10, 1], [15, 1]], 2693/1254113280000], [[[1, 1], [2, 10], [6, 1], [10, 1], [20, 1]], 2693/836075520000], [[[1, 1], [2, 10], [6, 1], [10, 1], [24, 1]], 2693/1003290624000], [[[1, 1], [2, 10], [6, 1], [10, 1], [30, 1]], 2693/1254113280000], [[[1, 1], [2, 10], [6, 1], [10, 2], [12, 1]], 870943/30098718720000], [[[1, 1], [2, 10], [6, 1], [12, 1], [15, 1]], 31/1504935936000], [[[1, 1], [2, 10], [6, 1], [12, 1], [20, 1]], 31/1003290624000], [[[1, 1], [2, 10], [6, 1], [12, 1], [24, 1]], 31/1203948748800], [[[1, 1], [2, 10], [6, 1], [12, 1], [30, 1]], 31/1504935936000], [[[1, 1], [2, 10], [6, 1], [14, 1], [18, 1]], 23021/1053455155200], [[[1, 1], [2, 10], [6, 2], [7, 1], [10, 1]], 1/149299200], [[[1, 1], [2, 10], [6, 2], [7, 1], [12, 1]], 4481/11236854988800], [[[1, 1], [2, 10], [6, 2], [8, 1], [14, 1]], 1/52254720], [[[1, 1], [2, 10], [6, 2], [8, 1], [18, 1]], 6067/1203948748800], [[[1, 1], [2, 10], [6, 2], [9, 1], [10, 1]], 7/1343692800], [[[1, 1], [2, 10], [6, 2], [9, 1], [12, 1]], 4481/14447384985600], [[[1, 1], [2, 10], [6, 2], [10, 1], [14, 1]], 7/49766400], [[[1, 1], [2, 10], [6, 2], [10, 1], [18, 1]], 3439/83607552000], [[[1, 1], [2, 10], [6, 2], [12, 1], [14, 1]], 91901/5618427494400], [[[1, 1], [2, 10], [6, 2], [12, 1], [18, 1]], 3221/722369249280], [[[1, 1], [2, 10], [6, 3], [8, 1], [10, 1]], 89/7166361600], [[[1, 1], [2, 10], [6, 3], [8, 1], [12, 1]], 23987/6421059993600], [[[1, 1], [2, 10], [6, 3], [10, 1], [12, 1]], 121111/4013162496000], [[[1, 1], [2, 10], [8, 1], [10, 1], [14, 1]], 1/25804800], [[[1, 1], [2, 10], [8, 1], [10, 1], [18, 1]], 1/99532800], [[[1, 1], [2, 12], [3, 1], [4, 1], [5, 2]], 1/481579499520000], [[[1, 1], [2, 12], [3, 1], [4, 1], [6, 4]], 437341/5944066965504000], [[[1, 1], [2, 12], [3, 1], [4, 1], [8, 2]], 19/154105439846400], [[[1, 1], [2, 12], [3, 1], [4, 1], [10, 2]], 145153/481579499520000], [[[1, 1], [2, 12], [3, 1], [4, 1], [12, 2]], 1/231158159769600], [[[1, 1], [2, 12], [3, 1], [4, 1], [15, 1]], 1/24078974976000], [[[1, 1], [2, 12], [3, 1], [4, 1], [20, 1]], 1/16052649984000], [[[1, 1], [2, 12], [3, 1], [4, 1], [24, 1]], 1/19263179980800], [[[1, 1], [2, 12], [3, 1], [4, 1], [30, 1]], 1/24078974976000], [[[1, 1], [2, 12], [3, 1], [4, 2], [6, 3]], 7117/77052719923200], [[[1, 1], [2, 12], [3, 1], [4, 2], [9, 1]], 19/198135565516800], [[[1, 1], [2, 12], [3, 1], [4, 3], [6, 2]], 467/19263179980800], [[[1, 1], [2, 12], [3, 1], [4, 3], [10, 1]], 1/25480396800], [[[1, 1], [2, 12], [3, 1], [4, 3], [12, 1]], 1/57789539942400], [[[1, 1], [2, 12], [3, 1], [4, 4], [6, 1]], 47251/9246326390784000], [[[1, 1], [2, 12], [3, 1], [5, 1], [6, 3]], 6721/650132324352000], [[[1, 1], [2, 12], [3, 1], [5, 1], [14, 1]], 1/2341011456000], [[[1, 1], [2, 12], [3, 1], [5, 1], [18, 1]], 1/9029615616000], [[[1, 1], [2, 12], [3, 1], [5, 2], [6, 1]], 1/120394874880000], [[[1, 1], [2, 12], [3, 1], [6, 1], [8, 2]], 1/38526359961600], [[[1, 1], [2, 12], [3, 1], [6, 1], [10, 2]], 145153/120394874880000], [[[1, 1], [2, 12], [3, 1], [6, 1], [12, 2]], 1/8255648563200], [[[1, 1], [2, 12], [3, 1], [6, 1], [15, 1]], 1/6019743744000], [[[1, 1], [2, 12], [3, 1], [6, 1], [20, 1]], 1/4013162496000], [[[1, 1], [2, 12], [3, 1], [6, 1], [24, 1]], 1/4815794995200], [[[1, 1], [2, 12], [3, 1], [6, 1], [30, 1]], 1/6019743744000], [[[1, 1], [2, 12], [3, 1], [6, 2], [9, 1]], 97/23404763676672], [[[1, 1], [2, 12], [3, 1], [6, 2], [14, 1]], 4481/11236854988800], [[[1, 1], [2, 12], [3, 1], [6, 2], [18, 1]], 299/2889476997120], [[[1, 1], [2, 12], [3, 1], [6, 3], [8, 1]], 6721/520105859481600], [[[1, 1], [2, 12], [3, 1], [6, 3], [10, 1]], 3497/2675441664000], [[[1, 1], [2, 12], [3, 1], [6, 3], [12, 1]], 47059/520105859481600], [[[1, 1], [2, 12], [3, 1], [8, 1], [9, 1]], 1/28894769971200], [[[1, 1], [2, 12], [3, 1], [8, 1], [14, 1]], 1/1872809164800], [[[1, 1], [2, 12], [3, 1], [8, 1], [18, 1]], 1/7223692492800], [[[1, 1], [2, 12], [3, 1], [9, 1], [10, 1]], 131/90296156160000], [[[1, 1], [2, 12], [3, 1], [12, 1], [14, 1]], 1/1872809164800], [[[1, 1], [2, 12], [3, 1], [12, 1], [18, 1]], 1/7223692492800], [[[1, 1], [2, 12], [3, 2], [4, 1], [6, 3]], 3743/154105439846400], [[[1, 1], [2, 12], [3, 2], [4, 1], [9, 1]], 1/43342154956800], [[[1, 1], [2, 12], [3, 2], [4, 2], [6, 2]], 8927/1643791358361600], [[[1, 1], [2, 12], [3, 2], [4, 2], [12, 1]], 19/1056723016089600], [[[1, 1], [2, 12], [3, 2], [4, 3], [6, 1]], 1891/924632639078400], [[[1, 1], [2, 12], [3, 2], [6, 1], [7, 1]], 1/33710564966400], [[[1, 1], [2, 12], [3, 2], [6, 1], [9, 1]], 1/8668430991360], [[[1, 1], [2, 12], [3, 2], [6, 1], [14, 1]], 5/1348422598656], [[[1, 1], [2, 12], [3, 2], [6, 1], [18, 1]], 127/130026464870400], [[[1, 1], [2, 12], [3, 2], [6, 2], [8, 1]], 1499/308210879692800], [[[1, 1], [2, 12], [3, 2], [6, 2], [10, 1]], 3637/45864714240000], [[[1, 1], [2, 12], [3, 2], [6, 2], [12, 1]], 673/445805022412800], [[[1, 1], [2, 12], [3, 2], [8, 1], [12, 1]], 1/154105439846400], [[[1, 1], [2, 12], [3, 2], [10, 1], [12, 1]], 131/481579499520000], [[[1, 1], [2, 12], [3, 3], [4, 1], [6, 2]], 1499/462316319539200], [[[1, 1], [2, 12], [3, 3], [4, 1], [8, 1]], 1/462316319539200], [[[1, 1], [2, 12], [3, 3], [4, 1], [12, 1]], 1/231158159769600], [[[1, 1], [2, 12], [3, 3], [4, 2], [6, 1]], 71/2080423437926400], [[[1, 1], [2, 12], [3, 3], [5, 1], [6, 1]], 1/72236924928000], [[[1, 1], [2, 12], [3, 3], [6, 1], [8, 1]], 1/57789539942400], [[[1, 1], [2, 12], [3, 3], [6, 1], [10, 1]], 113/216710774784000], [[[1, 1], [2, 12], [3, 3], [6, 1], [12, 1]], 19/520105859481600], [[[1, 1], [2, 12], [3, 4], [4, 1], [6, 1]], 29/41608468758528000], [[[1, 1], [2, 12], [4, 1], [5, 1], [6, 3]], 6721/433421549568000], [[[1, 1], [2, 12], [4, 1], [5, 1], [14, 1]], 1/1560674304000], [[[1, 1], [2, 12], [4, 1], [5, 1], [18, 1]], 1/6019743744000], [[[1, 1], [2, 12], [4, 1], [5, 2], [6, 1]], 29/160526499840000], [[[1, 1], [2, 12], [4, 1], [6, 1], [8, 2]], 49/1467670855680], [[[1, 1], [2, 12], [4, 1], [6, 1], [10, 2]], 31883/22932357120000], [[[1, 1], [2, 12], [4, 1], [6, 1], [12, 2]], 1/1712282664960], [[[1, 1], [2, 12], [4, 1], [6, 1], [15, 1]], 29/8026324992000], [[[1, 1], [2, 12], [4, 1], [6, 1], [20, 1]], 29/5350883328000], [[[1, 1], [2, 12], [4, 1], [6, 1], [24, 1]], 29/6421059993600], [[[1, 1], [2, 12], [4, 1], [6, 1], [30, 1]], 29/8026324992000], [[[1, 1], [2, 12], [4, 1], [6, 2], [14, 1]], 1/1337720832], [[[1, 1], [2, 12], [4, 1], [6, 2], [18, 1]], 943/4815794995200], [[[1, 1], [2, 12], [4, 1], [6, 3], [8, 1]], 178147/693474479308800], [[[1, 1], [2, 12], [4, 1], [6, 3], [10, 1]], 522313/433421549568000], [[[1, 1], [2, 12], [4, 1], [6, 3], [12, 1]], 50993/297203348275200], [[[1, 1], [2, 12], [4, 1], [7, 1], [8, 1]], 1/4994157772800], [[[1, 1], [2, 12], [4, 1], [8, 1], [9, 1]], 1/6421059993600], [[[1, 1], [2, 12], [4, 1], [8, 1], [14, 1]], 11/416179814400], [[[1, 1], [2, 12], [4, 1], [8, 1], [18, 1]], 67/9631589990400], [[[1, 1], [2, 12], [4, 1], [10, 1], [14, 1]], 1513/1560674304000], [[[1, 1], [2, 12], [4, 1], [10, 1], [18, 1]], 1513/6019743744000], [[[1, 1], [2, 12], [4, 1], [12, 1], [14, 1]], 1/936404582400], [[[1, 1], [2, 12], [4, 1], [12, 1], [18, 1]], 1/3611846246400], [[[1, 1], [2, 12], [4, 2], [5, 1], [8, 1]], 1/7134511104000], [[[1, 1], [2, 12], [4, 2], [6, 1], [7, 1]], 71/22473709977600], [[[1, 1], [2, 12], [4, 2], [6, 1], [9, 1]], 71/28894769971200], [[[1, 1], [2, 12], [4, 2], [6, 1], [14, 1]], 1811/11236854988800], [[[1, 1], [2, 12], [4, 2], [6, 1], [18, 1]], 20119/462316319539200], [[[1, 1], [2, 12], [4, 2], [6, 2], [8, 1]], 2567/12842119987200], [[[1, 1], [2, 12], [4, 2], [6, 2], [10, 1]], 3511/8026324992000], [[[1, 1], [2, 12], [4, 2], [6, 2], [12, 1]], 1018369/28531521434419200], [[[1, 1], [2, 12], [4, 2], [8, 1], [10, 1]], 1933/7134511104000], [[[1, 1], [2, 12], [4, 2], [8, 1], [12, 1]], 1/3852635996160], [[[1, 1], [2, 12], [4, 2], [10, 1], [12, 1]], 131/120394874880000], [[[1, 1], [2, 12], [4, 3], [5, 1], [6, 1]], 71/32105299968000], [[[1, 1], [2, 12], [4, 3], [6, 1], [8, 1]], 4261/102736959897600], [[[1, 1], [2, 12], [4, 3], [6, 1], [10, 1]], 4243/21403533312000], [[[1, 1], [2, 12], [4, 3], [6, 1], [12, 1]], 299/17122826649600], [[[1, 1], [2, 12], [6, 1], [7, 1], [10, 1]], 113/2341011456000], [[[1, 1], [2, 12], [6, 1], [7, 1], [12, 1]], 1/5618427494400], [[[1, 1], [2, 12], [6, 1], [8, 1], [14, 1]], 281/1872809164800], [[[1, 1], [2, 12], [6, 1], [8, 1], [18, 1]], 5/128421199872], [[[1, 1], [2, 12], [6, 1], [9, 1], [10, 1]], 113/3009871872000], [[[1, 1], [2, 12], [6, 1], [9, 1], [12, 1]], 1/7223692492800], [[[1, 1], [2, 12], [6, 1], [10, 1], [14, 1]], 611/260112384000], [[[1, 1], [2, 12], [6, 1], [10, 1], [18, 1]], 19127/30098718720000], [[[1, 1], [2, 12], [6, 1], [12, 1], [14, 1]], 5/224737099776], [[[1, 1], [2, 12], [6, 1], [12, 1], [18, 1]], 127/21671077478400], [[[1, 1], [2, 12], [6, 2], [8, 1], [10, 1]], 691/1337720832000], [[[1, 1], [2, 12], [6, 2], [8, 1], [12, 1]], 1499/51368479948800], [[[1, 1], [2, 12], [6, 2], [10, 1], [12, 1]], 3637/7644119040000], [[[1, 1], [2, 14], [3, 1], [4, 1], [6, 3]], 2323/2080423437926400], [[[1, 1], [2, 14], [3, 1], [4, 1], [9, 1]], 1/1155790798848000], [[[1, 1], [2, 14], [3, 1], [4, 1], [14, 1]], 1/22473709977600], [[[1, 1], [2, 14], [3, 1], [4, 1], [18, 1]], 1/86684309913600], [[[1, 1], [2, 14], [3, 1], [4, 2], [5, 1]], 1/1541054398464000], [[[1, 1], [2, 14], [3, 1], [4, 2], [6, 2]], 101/164379135836160], [[[1, 1], [2, 14], [3, 1], [4, 2], [8, 1]], 13/1232843518771200], [[[1, 1], [2, 14], [3, 1], [4, 2], [12, 1]], 1/1232843518771200], [[[1, 1], [2, 14], [3, 1], [4, 3], [6, 1]], 19/123284351877120], [[[1, 1], [2, 14], [3, 1], [5, 1], [6, 2]], 31/650132324352000], [[[1, 1], [2, 14], [3, 1], [5, 1], [10, 1]], 1/100329062400000], [[[1, 1], [2, 14], [3, 1], [6, 1], [9, 1]], 157/23404763676672000], [[[1, 1], [2, 14], [3, 1], [6, 1], [14, 1]], 1/5618427494400], [[[1, 1], [2, 14], [3, 1], [6, 1], [18, 1]], 1/21671077478400], [[[1, 1], [2, 14], [3, 1], [6, 2], [8, 1]], 31/520105859481600], [[[1, 1], [2, 14], [3, 1], [6, 2], [10, 1]], 1507/160526499840000], [[[1, 1], [2, 14], [3, 1], [6, 2], [12, 1]], 7/74300837068800], [[[1, 1], [2, 14], [3, 1], [8, 1], [10, 1]], 1/80263249920000], [[[1, 1], [2, 14], [3, 1], [10, 1], [12, 1]], 1/80263249920000], [[[1, 1], [2, 14], [3, 2], [4, 1], [6, 2]], 221/1761205026816000], [[[1, 1], [2, 14], [3, 2], [4, 1], [12, 1]], 1/6164217593856000], [[[1, 1], [2, 14], [3, 2], [4, 2], [6, 1]], 17/2773897917235200], [[[1, 1], [2, 14], [3, 2], [6, 1], [8, 1]], 1/462316319539200], [[[1, 1], [2, 14], [3, 2], [6, 1], [10, 1]], 67/722369249280000], [[[1, 1], [2, 14], [3, 2], [6, 1], [12, 1]], 157/124825406275584000], [[[1, 1], [2, 14], [3, 3], [4, 1], [6, 1]], 1/693474479308800], [[[1, 1], [2, 14], [4, 1], [5, 1], [6, 2]], 31/433421549568000], [[[1, 1], [2, 14], [4, 1], [5, 1], [10, 1]], 1/66886041600000], [[[1, 1], [2, 14], [4, 1], [6, 1], [14, 1]], 29/7491236659200], [[[1, 1], [2, 14], [4, 1], [6, 1], [18, 1]], 43/42807066624000], [[[1, 1], [2, 14], [4, 1], [6, 2], [8, 1]], 547/277389791723520], [[[1, 1], [2, 14], [4, 1], [6, 2], [10, 1]], 4187/216710774784000], [[[1, 1], [2, 14], [4, 1], [6, 2], [12, 1]], 145147/166433875034112000], [[[1, 1], [2, 14], [4, 1], [8, 1], [10, 1]], 47/71345111040000], [[[1, 1], [2, 14], [4, 1], [10, 1], [12, 1]], 1/40131624960000], [[[1, 1], [2, 14], [4, 2], [6, 1], [8, 1]], 443/410947839590400], [[[1, 1], [2, 14], [4, 2], [6, 1], [10, 1]], 1931/428070666240000], [[[1, 1], [2, 14], [4, 2], [6, 1], [12, 1]], 2609/62412703137792000], [[[1, 1], [2, 14], [6, 1], [8, 1], [10, 1]], 1/283115520000], [[[1, 1], [2, 14], [6, 1], [8, 1], [12, 1]], 1/77052719923200], [[[1, 1], [2, 14], [6, 1], [10, 1], [12, 1]], 67/120394874880000], [[[1, 1], [2, 16], [3, 1], [4, 1], [6, 2]], 13/2600529297408000], [[[1, 1], [2, 16], [3, 1], [4, 1], [10, 1]], 1/963158999040000], [[[1, 1], [2, 16], [3, 1], [4, 2], [6, 1]], 1/3698530556313600], [[[1, 1], [2, 16], [3, 1], [5, 1], [6, 1]], 1/26005292974080000], [[[1, 1], [2, 16], [3, 1], [6, 1], [8, 1]], 1/20804234379264000], [[[1, 1], [2, 16], [3, 1], [6, 1], [10, 1]], 1/240789749760000], [[[1, 1], [2, 16], [3, 1], [6, 1], [12, 1]], 1/20804234379264000], [[[1, 1], [2, 16], [3, 2], [4, 1], [6, 1]], 1/18492652781568000], [[[1, 1], [2, 16], [4, 1], [5, 1], [6, 1]], 1/17336861982720000], [[[1, 1], [2, 16], [4, 1], [6, 1], [8, 1]], 167/55477958344704000], [[[1, 1], [2, 16], [4, 1], [6, 1], [10, 1]], 3161/34673723965440000], [[[1, 1], [2, 16], [4, 1], [6, 1], [12, 1]], 1/2377626786201600], [[[1, 1], [2, 18], [3, 1], [4, 1], [6, 1]], 187/46601485009551360000], [[[1, 1], [3, 1], [4, 2], [9, 1], [12, 3]], 7/6718464], [[[1, 1], [3, 1], [4, 2], [9, 1], [28, 1]], 1/6048], [[[1, 1], [3, 1], [4, 2], [9, 1], [36, 1]], 1/23328], [[[1, 1], [3, 1], [4, 4], [5, 2], [9, 1]], 1/2985984000], [[[1, 1], [3, 1], [4, 4], [6, 4], [9, 1]], 1/773967052800], [[[1, 1], [3, 1], [4, 4], [8, 2], [9, 1]], 241/955514880], [[[1, 1], [3, 1], [4, 4], [9, 1], [10, 2]], 1/2985984000], [[[1, 1], [3, 1], [4, 4], [9, 1], [12, 2]], 3841/1433272320], [[[1, 1], [3, 1], [4, 4], [9, 1], [15, 1]], 1/149299200], [[[1, 1], [3, 1], [4, 4], [9, 1], [20, 1]], 77/19906560], [[[1, 1], [3, 1], [4, 4], [9, 1], [24, 1]], 1/119439360], [[[1, 1], [3, 1], [4, 4], [9, 1], [30, 1]], 1/149299200], [[[1, 1], [3, 1], [4, 6], [9, 1], [12, 1]], 19/1074954240], [[[1, 1], [3, 1], [5, 2], [6, 4], [9, 1]], 1/10077696000], [[[1, 1], [3, 1], [5, 2], [8, 2], [9, 1]], 1/12441600], [[[1, 1], [3, 1], [5, 2], [9, 1], [10, 2]], 301/38880000], [[[1, 1], [3, 1], [5, 2], [9, 1], [12, 2]], 1/18662400], [[[1, 1], [3, 1], [5, 2], [9, 1], [15, 1]], 1/1944000], [[[1, 1], [3, 1], [5, 2], [9, 1], [20, 1]], 1/1296000], [[[1, 1], [3, 1], [5, 2], [9, 1], [24, 1]], 1/1555200], [[[1, 1], [3, 1], [5, 2], [9, 1], [30, 1]], 1/1944000], [[[1, 1], [3, 1], [6, 2], [9, 1], [12, 3]], 1/8957952], [[[1, 1], [3, 1], [6, 2], [9, 1], [18, 2]], 55/629856], [[[1, 1], [3, 1], [6, 4], [8, 2], [9, 1]], 1/3224862720], [[[1, 1], [3, 1], [6, 4], [9, 1], [10, 2]], 1/10077696000], [[[1, 1], [3, 1], [6, 4], [9, 1], [12, 2]], 271/4837294080], [[[1, 1], [3, 1], [6, 4], [9, 1], [15, 1]], 1/503884800], [[[1, 1], [3, 1], [6, 4], [9, 1], [20, 1]], 1/335923200], [[[1, 1], [3, 1], [6, 4], [9, 1], [24, 1]], 1/403107840], [[[1, 1], [3, 1], [6, 4], [9, 1], [30, 1]], 1/503884800], [[[1, 1], [3, 1], [6, 5], [9, 1], [18, 1]], 7/226748160], [[[1, 1], [3, 1], [6, 6], [9, 1], [12, 1]], 1/4837294080], [[[1, 1], [3, 1], [8, 2], [9, 1], [10, 2]], 1/12441600], [[[1, 1], [3, 1], [8, 2], [9, 1], [12, 2]], 1/5971968], [[[1, 1], [3, 1], [8, 2], [9, 1], [15, 1]], 1/622080], [[[1, 1], [3, 1], [8, 2], [9, 1], [20, 1]], 1/414720], [[[1, 1], [3, 1], [8, 2], [9, 1], [24, 1]], 11/165888], [[[1, 1], [3, 1], [8, 2], [9, 1], [30, 1]], 1/622080], [[[1, 1], [3, 1], [9, 1], [10, 2], [12, 2]], 1/18662400], [[[1, 1], [3, 1], [9, 1], [10, 2], [15, 1]], 1/1944000], [[[1, 1], [3, 1], [9, 1], [10, 2], [20, 1]], 1/1296000], [[[1, 1], [3, 1], [9, 1], [10, 2], [24, 1]], 1/1555200], [[[1, 1], [3, 1], [9, 1], [10, 2], [30, 1]], 1/1944000], [[[1, 1], [3, 1], [9, 1], [12, 1], [36, 1]], 1/11664], [[[1, 1], [3, 1], [9, 1], [12, 2], [15, 1]], 1/933120], [[[1, 1], [3, 1], [9, 1], [12, 2], [20, 1]], 1/622080], [[[1, 1], [3, 1], [9, 1], [12, 2], [24, 1]], 13/746496], [[[1, 1], [3, 1], [9, 1], [12, 2], [30, 1]], 1/933120], [[[1, 1], [3, 1], [9, 1], [15, 1], [20, 1]], 1/64800], [[[1, 1], [3, 1], [9, 1], [15, 1], [24, 1]], 1/77760], [[[1, 1], [3, 1], [9, 1], [15, 1], [30, 1]], 1/6075], [[[1, 1], [3, 1], [9, 1], [20, 1], [24, 1]], 1/51840], [[[1, 1], [3, 1], [9, 1], [20, 1], [30, 1]], 1/64800], [[[1, 1], [3, 1], [9, 1], [24, 1], [30, 1]], 1/77760], [[[1, 1], [3, 2], [4, 2], [5, 2], [12, 2]], 1/24883200], [[[1, 1], [3, 2], [4, 2], [6, 2], [12, 3]], 673/214990848], [[[1, 1], [3, 2], [4, 2], [6, 2], [28, 1]], 1/193536], [[[1, 1], [3, 2], [4, 2], [6, 2], [36, 1]], 1/746496], [[[1, 1], [3, 2], [4, 2], [6, 4], [12, 2]], 6571/6449725440], [[[1, 1], [3, 2], [4, 2], [6, 6], [12, 1]], 73/38698352640], [[[1, 1], [3, 2], [4, 2], [8, 2], [12, 2]], 13/7962624], [[[1, 1], [3, 2], [4, 2], [9, 2], [12, 1]], 1/839808], [[[1, 1], [3, 2], [4, 2], [10, 2], [12, 2]], 1/24883200], [[[1, 1], [3, 2], [4, 2], [12, 1], [28, 1]], 1/32256], [[[1, 1], [3, 2], [4, 2], [12, 1], [36, 1]], 1/124416], [[[1, 1], [3, 2], [4, 2], [12, 2], [15, 1]], 1/1244160], [[[1, 1], [3, 2], [4, 2], [12, 2], [20, 1]], 13/829440], [[[1, 1], [3, 2], [4, 2], [12, 2], [24, 1]], 7/995328], [[[1, 1], [3, 2], [4, 2], [12, 2], [30, 1]], 1/1244160], [[[1, 1], [3, 2], [4, 4], [5, 2], [6, 2]], 1/95551488000], [[[1, 1], [3, 2], [4, 4], [5, 2], [12, 1]], 1/15925248000], [[[1, 1], [3, 2], [4, 4], [6, 2], [8, 2]], 241/30576476160], [[[1, 1], [3, 2], [4, 4], [6, 2], [10, 2]], 1/95551488000], [[[1, 1], [3, 2], [4, 4], [6, 2], [12, 2]], 188311/45864714240], [[[1, 1], [3, 2], [4, 4], [6, 2], [15, 1]], 1/4777574400], [[[1, 1], [3, 2], [4, 4], [6, 2], [20, 1]], 77/637009920], [[[1, 1], [3, 2], [4, 4], [6, 2], [24, 1]], 73/3822059520], [[[1, 1], [3, 2], [4, 4], [6, 2], [30, 1]], 1/4777574400], [[[1, 1], [3, 2], [4, 4], [6, 3], [18, 1]], 1/8599633920], [[[1, 1], [3, 2], [4, 4], [6, 4], [12, 1]], 91/4127824281600], [[[1, 1], [3, 2], [4, 4], [8, 2], [12, 1]], 241/5096079360], [[[1, 1], [3, 2], [4, 4], [10, 2], [12, 1]], 1/15925248000], [[[1, 1], [3, 2], [4, 4], [12, 1], [15, 1]], 1/796262400], [[[1, 1], [3, 2], [4, 4], [12, 1], [20, 1]], 77/106168320], [[[1, 1], [3, 2], [4, 4], [12, 1], [24, 1]], 1/637009920], [[[1, 1], [3, 2], [4, 4], [12, 1], [30, 1]], 1/796262400], [[[1, 1], [3, 2], [4, 6], [6, 2], [12, 1]], 47/6879707136], [[[1, 1], [3, 2], [5, 2], [6, 2], [8, 2]], 1/398131200], [[[1, 1], [3, 2], [5, 2], [6, 2], [10, 2]], 301/1244160000], [[[1, 1], [3, 2], [5, 2], [6, 2], [12, 2]], 151/597196800], [[[1, 1], [3, 2], [5, 2], [6, 2], [15, 1]], 1/62208000], [[[1, 1], [3, 2], [5, 2], [6, 2], [20, 1]], 1/41472000], [[[1, 1], [3, 2], [5, 2], [6, 2], [24, 1]], 73/49766400], [[[1, 1], [3, 2], [5, 2], [6, 2], [30, 1]], 1/62208000], [[[1, 1], [3, 2], [5, 2], [6, 3], [18, 1]], 1/111974400], [[[1, 1], [3, 2], [5, 2], [6, 4], [12, 1]], 91/53747712000], [[[1, 1], [3, 2], [5, 2], [8, 2], [12, 1]], 1/66355200], [[[1, 1], [3, 2], [5, 2], [10, 2], [12, 1]], 301/207360000], [[[1, 1], [3, 2], [5, 2], [12, 1], [15, 1]], 1/10368000], [[[1, 1], [3, 2], [5, 2], [12, 1], [20, 1]], 1/6912000], [[[1, 1], [3, 2], [5, 2], [12, 1], [24, 1]], 1/8294400], [[[1, 1], [3, 2], [5, 2], [12, 1], [30, 1]], 1/10368000], [[[1, 1], [3, 2], [6, 1], [9, 2], [18, 1]], 55/629856], [[[1, 1], [3, 2], [6, 1], [12, 3], [18, 1]], 1/8957952], [[[1, 1], [3, 2], [6, 2], [8, 2], [10, 2]], 1/398131200], [[[1, 1], [3, 2], [6, 2], [8, 2], [12, 2]], 151/191102976], [[[1, 1], [3, 2], [6, 2], [8, 2], [15, 1]], 1/19906560], [[[1, 1], [3, 2], [6, 2], [8, 2], [20, 1]], 1/13271040], [[[1, 1], [3, 2], [6, 2], [8, 2], [24, 1]], 35/5308416], [[[1, 1], [3, 2], [6, 2], [8, 2], [30, 1]], 1/19906560], [[[1, 1], [3, 2], [6, 2], [9, 2], [12, 1]], 1/3359232], [[[1, 1], [3, 2], [6, 2], [10, 2], [12, 2]], 151/597196800], [[[1, 1], [3, 2], [6, 2], [10, 2], [15, 1]], 1/62208000], [[[1, 1], [3, 2], [6, 2], [10, 2], [20, 1]], 1/41472000], [[[1, 1], [3, 2], [6, 2], [10, 2], [24, 1]], 73/49766400], [[[1, 1], [3, 2], [6, 2], [10, 2], [30, 1]], 1/62208000], [[[1, 1], [3, 2], [6, 2], [12, 1], [18, 2]], 1/3359232], [[[1, 1], [3, 2], [6, 2], [12, 1], [36, 1]], 1/373248], [[[1, 1], [3, 2], [6, 2], [12, 2], [15, 1]], 151/29859840], [[[1, 1], [3, 2], [6, 2], [12, 2], [20, 1]], 151/19906560], [[[1, 1], [3, 2], [6, 2], [12, 2], [24, 1]], 235/23887872], [[[1, 1], [3, 2], [6, 2], [12, 2], [30, 1]], 151/29859840], [[[1, 1], [3, 2], [6, 2], [15, 1], [20, 1]], 1/2073600], [[[1, 1], [3, 2], [6, 2], [15, 1], [24, 1]], 73/2488320], [[[1, 1], [3, 2], [6, 2], [15, 1], [30, 1]], 1/194400], [[[1, 1], [3, 2], [6, 2], [20, 1], [24, 1]], 73/1658880], [[[1, 1], [3, 2], [6, 2], [20, 1], [30, 1]], 1/2073600], [[[1, 1], [3, 2], [6, 2], [24, 1], [30, 1]], 73/2488320], [[[1, 1], [3, 2], [6, 3], [8, 2], [18, 1]], 1/35831808], [[[1, 1], [3, 2], [6, 3], [10, 2], [18, 1]], 1/111974400], [[[1, 1], [3, 2], [6, 3], [12, 2], [18, 1]], 151/53747712], [[[1, 1], [3, 2], [6, 3], [15, 1], [18, 1]], 1/5598720], [[[1, 1], [3, 2], [6, 3], [18, 1], [20, 1]], 1/3732480], [[[1, 1], [3, 2], [6, 3], [18, 1], [24, 1]], 73/4478976], [[[1, 1], [3, 2], [6, 3], [18, 1], [30, 1]], 1/5598720], [[[1, 1], [3, 2], [6, 4], [8, 2], [12, 1]], 91/17199267840], [[[1, 1], [3, 2], [6, 4], [10, 2], [12, 1]], 91/53747712000], [[[1, 1], [3, 2], [6, 4], [12, 1], [15, 1]], 91/2687385600], [[[1, 1], [3, 2], [6, 4], [12, 1], [20, 1]], 91/1791590400], [[[1, 1], [3, 2], [6, 4], [12, 1], [24, 1]], 6571/2149908480], [[[1, 1], [3, 2], [6, 4], [12, 1], [30, 1]], 91/2687385600], [[[1, 1], [3, 2], [6, 5], [12, 1], [18, 1]], 91/4837294080], [[[1, 1], [3, 2], [8, 2], [10, 2], [12, 1]], 1/66355200], [[[1, 1], [3, 2], [8, 2], [12, 1], [15, 1]], 1/3317760], [[[1, 1], [3, 2], [8, 2], [12, 1], [20, 1]], 1/2211840], [[[1, 1], [3, 2], [8, 2], [12, 1], [24, 1]], 11/884736], [[[1, 1], [3, 2], [8, 2], [12, 1], [30, 1]], 1/3317760], [[[1, 1], [3, 2], [10, 2], [12, 1], [15, 1]], 1/10368000], [[[1, 1], [3, 2], [10, 2], [12, 1], [20, 1]], 1/6912000], [[[1, 1], [3, 2], [10, 2], [12, 1], [24, 1]], 1/8294400], [[[1, 1], [3, 2], [10, 2], [12, 1], [30, 1]], 1/10368000], [[[1, 1], [3, 2], [12, 1], [15, 1], [20, 1]], 1/345600], [[[1, 1], [3, 2], [12, 1], [15, 1], [24, 1]], 1/414720], [[[1, 1], [3, 2], [12, 1], [15, 1], [30, 1]], 1/32400], [[[1, 1], [3, 2], [12, 1], [20, 1], [24, 1]], 1/276480], [[[1, 1], [3, 2], [12, 1], [20, 1], [30, 1]], 1/345600], [[[1, 1], [3, 2], [12, 1], [24, 1], [30, 1]], 1/414720], [[[1, 1], [3, 3], [4, 2], [9, 1], [12, 2]], 1/2239488], [[[1, 1], [3, 3], [4, 4], [6, 2], [9, 1]], 1/8599633920], [[[1, 1], [3, 3], [4, 4], [9, 1], [12, 1]], 1/1433272320], [[[1, 1], [3, 3], [5, 2], [6, 2], [9, 1]], 1/111974400], [[[1, 1], [3, 3], [5, 2], [9, 1], [12, 1]], 1/18662400], [[[1, 1], [3, 3], [6, 2], [8, 2], [9, 1]], 1/35831808], [[[1, 1], [3, 3], [6, 2], [9, 1], [10, 2]], 1/111974400], [[[1, 1], [3, 3], [6, 2], [9, 1], [12, 2]], 151/53747712], [[[1, 1], [3, 3], [6, 2], [9, 1], [15, 1]], 1/5598720], [[[1, 1], [3, 3], [6, 2], [9, 1], [20, 1]], 1/3732480], [[[1, 1], [3, 3], [6, 2], [9, 1], [24, 1]], 73/4478976], [[[1, 1], [3, 3], [6, 2], [9, 1], [30, 1]], 1/5598720], [[[1, 1], [3, 3], [6, 3], [9, 1], [18, 1]], 7/2519424], [[[1, 1], [3, 3], [6, 4], [9, 1], [12, 1]], 91/4837294080], [[[1, 1], [3, 3], [8, 2], [9, 1], [12, 1]], 1/5971968], [[[1, 1], [3, 3], [9, 1], [10, 2], [12, 1]], 1/18662400], [[[1, 1], [3, 3], [9, 1], [12, 1], [15, 1]], 1/933120], [[[1, 1], [3, 3], [9, 1], [12, 1], [20, 1]], 1/622080], [[[1, 1], [3, 3], [9, 1], [12, 1], [24, 1]], 1/746496], [[[1, 1], [3, 3], [9, 1], [12, 1], [30, 1]], 1/933120], [[[1, 1], [3, 4], [4, 2], [5, 2], [12, 1]], 1/13436928000], [[[1, 1], [3, 4], [4, 2], [6, 2], [12, 2]], 6571/6449725440], [[[1, 1], [3, 4], [4, 2], [6, 4], [12, 1]], 665011/3482851737600], [[[1, 1], [3, 4], [4, 2], [8, 1], [16, 1]], 1/79626240], [[[1, 1], [3, 4], [4, 2], [8, 2], [12, 1]], 13/4299816960], [[[1, 1], [3, 4], [4, 2], [10, 2], [12, 1]], 1/13436928000], [[[1, 1], [3, 4], [4, 2], [12, 1], [15, 1]], 1/671846400], [[[1, 1], [3, 4], [4, 2], [12, 1], [20, 1]], 13/447897600], [[[1, 1], [3, 4], [4, 2], [12, 1], [24, 1]], 7/537477120], [[[1, 1], [3, 4], [4, 2], [12, 1], [30, 1]], 1/671846400], [[[1, 1], [3, 4], [4, 4], [6, 1], [18, 1]], 1/773967052800], [[[1, 1], [3, 4], [4, 4], [6, 2], [12, 1]], 91/4127824281600], [[[1, 1], [3, 4], [5, 2], [6, 1], [18, 1]], 1/10077696000], [[[1, 1], [3, 4], [5, 2], [6, 2], [12, 1]], 91/53747712000], [[[1, 1], [3, 4], [6, 1], [8, 2], [18, 1]], 1/3224862720], [[[1, 1], [3, 4], [6, 1], [10, 2], [18, 1]], 1/10077696000], [[[1, 1], [3, 4], [6, 1], [12, 2], [18, 1]], 271/4837294080], [[[1, 1], [3, 4], [6, 1], [15, 1], [18, 1]], 1/503884800], [[[1, 1], [3, 4], [6, 1], [18, 1], [20, 1]], 1/335923200], [[[1, 1], [3, 4], [6, 1], [18, 1], [24, 1]], 1/403107840], [[[1, 1], [3, 4], [6, 1], [18, 1], [30, 1]], 1/503884800], [[[1, 1], [3, 4], [6, 2], [8, 2], [12, 1]], 91/17199267840], [[[1, 1], [3, 4], [6, 2], [10, 2], [12, 1]], 91/53747712000], [[[1, 1], [3, 4], [6, 2], [12, 1], [15, 1]], 91/2687385600], [[[1, 1], [3, 4], [6, 2], [12, 1], [20, 1]], 91/1791590400], [[[1, 1], [3, 4], [6, 2], [12, 1], [24, 1]], 6571/2149908480], [[[1, 1], [3, 4], [6, 2], [12, 1], [30, 1]], 91/2687385600], [[[1, 1], [3, 4], [6, 3], [12, 1], [18, 1]], 91/4837294080], [[[1, 1], [3, 5], [4, 2], [9, 1], [12, 1]], 1/1209323520], [[[1, 1], [3, 5], [6, 1], [9, 1], [18, 1]], 7/226748160], [[[1, 1], [3, 5], [6, 2], [9, 1], [12, 1]], 91/4837294080], [[[1, 1], [3, 6], [4, 2], [6, 2], [12, 1]], 73/38698352640], [[[1, 1], [3, 6], [6, 1], [12, 1], [18, 1]], 1/4837294080], [[[1, 1], [4, 2], [5, 2], [6, 2], [12, 2]], 1/24883200], [[[1, 1], [4, 2], [5, 2], [6, 4], [12, 1]], 1/13436928000], [[[1, 1], [4, 2], [5, 2], [8, 1], [16, 1]], 1/307200], [[[1, 1], [4, 2], [5, 2], [8, 2], [12, 1]], 13/16588800], [[[1, 1], [4, 2], [5, 2], [10, 2], [12, 1]], 301/51840000], [[[1, 1], [4, 2], [5, 2], [12, 1], [15, 1]], 1/2592000], [[[1, 1], [4, 2], [5, 2], [12, 1], [20, 1]], 13/1728000], [[[1, 1], [4, 2], [5, 2], [12, 1], [24, 1]], 7/2073600], [[[1, 1], [4, 2], [5, 2], [12, 1], [30, 1]], 1/2592000], [[[1, 1], [4, 2], [6, 1], [12, 3], [18, 1]], 7/6718464], [[[1, 1], [4, 2], [6, 1], [18, 1], [28, 1]], 1/6048], [[[1, 1], [4, 2], [6, 1], [18, 1], [36, 1]], 1/23328], [[[1, 1], [4, 2], [6, 2], [8, 2], [12, 2]], 13/7962624], [[[1, 1], [4, 2], [6, 2], [10, 2], [12, 2]], 1/24883200], [[[1, 1], [4, 2], [6, 2], [12, 1], [18, 2]], 1/839808], [[[1, 1], [4, 2], [6, 2], [12, 1], [28, 1]], 1/32256], [[[1, 1], [4, 2], [6, 2], [12, 1], [36, 1]], 1/124416], [[[1, 1], [4, 2], [6, 2], [12, 2], [15, 1]], 1/1244160], [[[1, 1], [4, 2], [6, 2], [12, 2], [20, 1]], 13/829440], [[[1, 1], [4, 2], [6, 2], [12, 2], [24, 1]], 7/995328], [[[1, 1], [4, 2], [6, 2], [12, 2], [30, 1]], 1/1244160], [[[1, 1], [4, 2], [6, 3], [12, 2], [18, 1]], 1/2239488], [[[1, 1], [4, 2], [6, 4], [8, 1], [16, 1]], 1/79626240], [[[1, 1], [4, 2], [6, 4], [8, 2], [12, 1]], 13/4299816960], [[[1, 1], [4, 2], [6, 4], [10, 2], [12, 1]], 1/13436928000], [[[1, 1], [4, 2], [6, 4], [12, 1], [15, 1]], 1/671846400], [[[1, 1], [4, 2], [6, 4], [12, 1], [20, 1]], 13/447897600], [[[1, 1], [4, 2], [6, 4], [12, 1], [24, 1]], 7/537477120], [[[1, 1], [4, 2], [6, 4], [12, 1], [30, 1]], 1/671846400], [[[1, 1], [4, 2], [6, 5], [12, 1], [18, 1]], 1/1209323520], [[[1, 1], [4, 2], [8, 1], [10, 2], [16, 1]], 1/307200], [[[1, 1], [4, 2], [8, 1], [12, 2], [16, 1]], 1/147456], [[[1, 1], [4, 2], [8, 1], [15, 1], [16, 1]], 1/15360], [[[1, 1], [4, 2], [8, 1], [16, 1], [20, 1]], 1/10240], [[[1, 1], [4, 2], [8, 1], [16, 1], [24, 1]], 1/12288], [[[1, 1], [4, 2], [8, 1], [16, 1], [30, 1]], 1/15360], [[[1, 1], [4, 2], [8, 2], [10, 2], [12, 1]], 13/16588800], [[[1, 1], [4, 2], [8, 2], [12, 1], [15, 1]], 13/829440], [[[1, 1], [4, 2], [8, 2], [12, 1], [20, 1]], 5/110592], [[[1, 1], [4, 2], [8, 2], [12, 1], [24, 1]], 17/221184], [[[1, 1], [4, 2], [8, 2], [12, 1], [30, 1]], 13/829440], [[[1, 1], [4, 2], [10, 2], [12, 1], [15, 1]], 1/2592000], [[[1, 1], [4, 2], [10, 2], [12, 1], [20, 1]], 13/1728000], [[[1, 1], [4, 2], [10, 2], [12, 1], [24, 1]], 7/2073600], [[[1, 1], [4, 2], [10, 2], [12, 1], [30, 1]], 1/2592000], [[[1, 1], [4, 2], [12, 1], [15, 1], [20, 1]], 13/86400], [[[1, 1], [4, 2], [12, 1], [15, 1], [24, 1]], 7/103680], [[[1, 1], [4, 2], [12, 1], [15, 1], [30, 1]], 1/8100], [[[1, 1], [4, 2], [12, 1], [20, 1], [24, 1]], 19/69120], [[[1, 1], [4, 2], [12, 1], [20, 1], [30, 1]], 13/86400], [[[1, 1], [4, 2], [12, 1], [24, 1], [30, 1]], 7/103680], [[[1, 1], [4, 4], [5, 2], [6, 1], [18, 1]], 1/2985984000], [[[1, 1], [4, 4], [5, 2], [6, 2], [12, 1]], 1/15925248000], [[[1, 1], [4, 4], [6, 1], [8, 2], [18, 1]], 241/955514880], [[[1, 1], [4, 4], [6, 1], [10, 2], [18, 1]], 1/2985984000], [[[1, 1], [4, 4], [6, 1], [12, 2], [18, 1]], 3841/1433272320], [[[1, 1], [4, 4], [6, 1], [15, 1], [18, 1]], 1/149299200], [[[1, 1], [4, 4], [6, 1], [18, 1], [20, 1]], 77/19906560], [[[1, 1], [4, 4], [6, 1], [18, 1], [24, 1]], 1/119439360], [[[1, 1], [4, 4], [6, 1], [18, 1], [30, 1]], 1/149299200], [[[1, 1], [4, 4], [6, 2], [8, 2], [12, 1]], 241/5096079360], [[[1, 1], [4, 4], [6, 2], [10, 2], [12, 1]], 1/15925248000], [[[1, 1], [4, 4], [6, 2], [12, 1], [15, 1]], 1/796262400], [[[1, 1], [4, 4], [6, 2], [12, 1], [20, 1]], 77/106168320], [[[1, 1], [4, 4], [6, 2], [12, 1], [24, 1]], 1/637009920], [[[1, 1], [4, 4], [6, 2], [12, 1], [30, 1]], 1/796262400], [[[1, 1], [4, 4], [6, 3], [12, 1], [18, 1]], 1/1433272320], [[[1, 1], [4, 4], [8, 1], [12, 1], [16, 1]], 1/36864], [[[1, 1], [4, 6], [6, 1], [12, 1], [18, 1]], 19/1074954240], [[[1, 1], [5, 2], [6, 1], [8, 2], [18, 1]], 1/12441600], [[[1, 1], [5, 2], [6, 1], [10, 2], [18, 1]], 301/38880000], [[[1, 1], [5, 2], [6, 1], [12, 2], [18, 1]], 1/18662400], [[[1, 1], [5, 2], [6, 1], [15, 1], [18, 1]], 1/1944000], [[[1, 1], [5, 2], [6, 1], [18, 1], [20, 1]], 1/1296000], [[[1, 1], [5, 2], [6, 1], [18, 1], [24, 1]], 1/1555200], [[[1, 1], [5, 2], [6, 1], [18, 1], [30, 1]], 1/1944000], [[[1, 1], [5, 2], [6, 2], [8, 2], [12, 1]], 1/66355200], [[[1, 1], [5, 2], [6, 2], [10, 2], [12, 1]], 301/207360000], [[[1, 1], [5, 2], [6, 2], [12, 1], [15, 1]], 1/10368000], [[[1, 1], [5, 2], [6, 2], [12, 1], [20, 1]], 1/6912000], [[[1, 1], [5, 2], [6, 2], [12, 1], [24, 1]], 1/8294400], [[[1, 1], [5, 2], [6, 2], [12, 1], [30, 1]], 1/10368000], [[[1, 1], [5, 2], [6, 3], [12, 1], [18, 1]], 1/18662400], [[[1, 1], [6, 1], [8, 2], [10, 2], [18, 1]], 1/12441600], [[[1, 1], [6, 1], [8, 2], [12, 2], [18, 1]], 1/5971968], [[[1, 1], [6, 1], [8, 2], [15, 1], [18, 1]], 1/622080], [[[1, 1], [6, 1], [8, 2], [18, 1], [20, 1]], 1/414720], [[[1, 1], [6, 1], [8, 2], [18, 1], [24, 1]], 11/165888], [[[1, 1], [6, 1], [8, 2], [18, 1], [30, 1]], 1/622080], [[[1, 1], [6, 1], [10, 2], [12, 2], [18, 1]], 1/18662400], [[[1, 1], [6, 1], [10, 2], [15, 1], [18, 1]], 1/1944000], [[[1, 1], [6, 1], [10, 2], [18, 1], [20, 1]], 1/1296000], [[[1, 1], [6, 1], [10, 2], [18, 1], [24, 1]], 1/1555200], [[[1, 1], [6, 1], [10, 2], [18, 1], [30, 1]], 1/1944000], [[[1, 1], [6, 1], [12, 1], [18, 1], [36, 1]], 1/11664], [[[1, 1], [6, 1], [12, 2], [15, 1], [18, 1]], 1/933120], [[[1, 1], [6, 1], [12, 2], [18, 1], [20, 1]], 1/622080], [[[1, 1], [6, 1], [12, 2], [18, 1], [24, 1]], 13/746496], [[[1, 1], [6, 1], [12, 2], [18, 1], [30, 1]], 1/933120], [[[1, 1], [6, 1], [15, 1], [18, 1], [20, 1]], 1/64800], [[[1, 1], [6, 1], [15, 1], [18, 1], [24, 1]], 1/77760], [[[1, 1], [6, 1], [15, 1], [18, 1], [30, 1]], 1/6075], [[[1, 1], [6, 1], [18, 1], [20, 1], [24, 1]], 1/51840], [[[1, 1], [6, 1], [18, 1], [20, 1], [30, 1]], 1/64800], [[[1, 1], [6, 1], [18, 1], [24, 1], [30, 1]], 1/77760], [[[1, 1], [6, 2], [8, 2], [10, 2], [12, 1]], 1/66355200], [[[1, 1], [6, 2], [8, 2], [12, 1], [15, 1]], 1/3317760], [[[1, 1], [6, 2], [8, 2], [12, 1], [20, 1]], 1/2211840], [[[1, 1], [6, 2], [8, 2], [12, 1], [24, 1]], 11/884736], [[[1, 1], [6, 2], [8, 2], [12, 1], [30, 1]], 1/3317760], [[[1, 1], [6, 2], [10, 2], [12, 1], [15, 1]], 1/10368000], [[[1, 1], [6, 2], [10, 2], [12, 1], [20, 1]], 1/6912000], [[[1, 1], [6, 2], [10, 2], [12, 1], [24, 1]], 1/8294400], [[[1, 1], [6, 2], [10, 2], [12, 1], [30, 1]], 1/10368000], [[[1, 1], [6, 2], [12, 1], [15, 1], [20, 1]], 1/345600], [[[1, 1], [6, 2], [12, 1], [15, 1], [24, 1]], 1/414720], [[[1, 1], [6, 2], [12, 1], [15, 1], [30, 1]], 1/32400], [[[1, 1], [6, 2], [12, 1], [20, 1], [24, 1]], 1/276480], [[[1, 1], [6, 2], [12, 1], [20, 1], [30, 1]], 1/345600], [[[1, 1], [6, 2], [12, 1], [24, 1], [30, 1]], 1/414720], [[[1, 1], [6, 3], [8, 2], [12, 1], [18, 1]], 1/5971968], [[[1, 1], [6, 3], [10, 2], [12, 1], [18, 1]], 1/18662400], [[[1, 1], [6, 3], [12, 1], [15, 1], [18, 1]], 1/933120], [[[1, 1], [6, 3], [12, 1], [18, 1], [20, 1]], 1/622080], [[[1, 1], [6, 3], [12, 1], [18, 1], [24, 1]], 1/746496], [[[1, 1], [6, 3], [12, 1], [18, 1], [30, 1]], 1/933120], [[[1, 2], [2, 1], [3, 1], [4, 1], [6, 9]], 1/6965703475200], [[[1, 2], [2, 1], [3, 1], [4, 2], [5, 4]], 1/829440000], [[[1, 2], [2, 1], [3, 1], [4, 2], [6, 8]], 1/55725627801600], [[[1, 2], [2, 1], [3, 1], [4, 2], [8, 4]], 1/47185920], [[[1, 2], [2, 1], [3, 1], [4, 2], [10, 4]], 1/829440000], [[[1, 2], [2, 1], [3, 1], [4, 2], [12, 4]], 1501/955514880], [[[1, 2], [2, 1], [3, 1], [4, 2], [15, 2]], 1/2073600], [[[1, 2], [2, 1], [3, 1], [4, 2], [16, 2]], 1/442368], [[[1, 2], [2, 1], [3, 1], [4, 2], [20, 2]], 1/552960], [[[1, 2], [2, 1], [3, 1], [4, 2], [24, 2]], 1/442368], [[[1, 2], [2, 1], [3, 1], [4, 2], [30, 2]], 1/2073600], [[[1, 2], [2, 1], [3, 1], [4, 2], [40, 1]], 1/46080], [[[1, 2], [2, 1], [3, 1], [4, 2], [48, 1]], 1/55296], [[[1, 2], [2, 1], [3, 1], [4, 2], [60, 1]], 1/69120], [[[1, 2], [2, 1], [3, 1], [4, 4], [5, 3]], 1/1658880000], [[[1, 2], [2, 1], [3, 1], [4, 4], [6, 6]], 1/3095868211200], [[[1, 2], [2, 1], [3, 1], [4, 4], [8, 3]], 241/849346560], [[[1, 2], [2, 1], [3, 1], [4, 4], [9, 2]], 1/134369280], [[[1, 2], [2, 1], [3, 1], [4, 4], [12, 3]], 11803/2866544640], [[[1, 2], [2, 1], [3, 1], [4, 4], [28, 1]], 1/64512], [[[1, 2], [2, 1], [3, 1], [4, 4], [36, 1]], 1/248832], [[[1, 2], [2, 1], [3, 1], [4, 5], [6, 5]], 1/1031956070400], [[[1, 2], [2, 1], [3, 1], [4, 6], [5, 2]], 1/31850496000], [[[1, 2], [2, 1], [3, 1], [4, 6], [6, 4]], 1/8255648563200], [[[1, 2], [2, 1], [3, 1], [4, 6], [8, 2]], 241/10192158720], [[[1, 2], [2, 1], [3, 1], [4, 6], [10, 2]], 1/31850496000], [[[1, 2], [2, 1], [3, 1], [4, 6], [12, 2]], 12739/45864714240], [[[1, 2], [2, 1], [3, 1], [4, 6], [15, 1]], 1/1592524800], [[[1, 2], [2, 1], [3, 1], [4, 6], [20, 1]], 77/212336640], [[[1, 2], [2, 1], [3, 1], [4, 6], [24, 1]], 1/1274019840], [[[1, 2], [2, 1], [3, 1], [4, 6], [30, 1]], 1/1592524800], [[[1, 2], [2, 1], [3, 1], [4, 7], [9, 1]], 17/16052649984], [[[1, 2], [2, 1], [3, 1], [4, 8], [5, 1]], 17/1070176665600], [[[1, 2], [2, 1], [3, 1], [4, 8], [6, 2]], 17/7705271992320], [[[1, 2], [2, 1], [3, 1], [4, 8], [8, 1]], 17/1712282664960], [[[1, 2], [2, 1], [3, 1], [4, 8], [12, 1]], 143/85614133248], [[[1, 2], [2, 1], [3, 1], [4, 9], [6, 1]], 17/2568423997440], [[[1, 2], [2, 1], [3, 1], [5, 1], [6, 8]], 1/2902376448000], [[[1, 2], [2, 1], [3, 1], [5, 1], [8, 4]], 1/2457600], [[[1, 2], [2, 1], [3, 1], [5, 1], [10, 4]], 1/43200000], [[[1, 2], [2, 1], [3, 1], [5, 1], [12, 4]], 23/149299200], [[[1, 2], [2, 1], [3, 1], [5, 1], [15, 2]], 1/108000], [[[1, 2], [2, 1], [3, 1], [5, 1], [16, 2]], 1/23040], [[[1, 2], [2, 1], [3, 1], [5, 1], [20, 2]], 1/28800], [[[1, 2], [2, 1], [3, 1], [5, 1], [24, 2]], 1/23040], [[[1, 2], [2, 1], [3, 1], [5, 1], [30, 2]], 1/108000], [[[1, 2], [2, 1], [3, 1], [5, 1], [40, 1]], 1/2400], [[[1, 2], [2, 1], [3, 1], [5, 1], [48, 1]], 1/2880], [[[1, 2], [2, 1], [3, 1], [5, 1], [60, 1]], 1/3600], [[[1, 2], [2, 1], [3, 1], [5, 2], [6, 6]], 1/40310784000], [[[1, 2], [2, 1], [3, 1], [5, 2], [8, 3]], 1/11059200], [[[1, 2], [2, 1], [3, 1], [5, 2], [9, 2]], 1/1749600], [[[1, 2], [2, 1], [3, 1], [5, 2], [12, 3]], 1/12441600], [[[1, 2], [2, 1], [3, 1], [5, 3], [6, 4]], 1/5598720000], [[[1, 2], [2, 1], [3, 1], [5, 3], [8, 2]], 1/6912000], [[[1, 2], [2, 1], [3, 1], [5, 3], [10, 2]], 301/21600000], [[[1, 2], [2, 1], [3, 1], [5, 3], [12, 2]], 1/10368000], [[[1, 2], [2, 1], [3, 1], [5, 3], [15, 1]], 1/1080000], [[[1, 2], [2, 1], [3, 1], [5, 3], [20, 1]], 1/720000], [[[1, 2], [2, 1], [3, 1], [5, 3], [24, 1]], 1/864000], [[[1, 2], [2, 1], [3, 1], [5, 3], [30, 1]], 1/1080000], [[[1, 2], [2, 1], [3, 1], [5, 4], [6, 2]], 1/311040000], [[[1, 2], [2, 1], [3, 1], [5, 4], [8, 1]], 1/69120000], [[[1, 2], [2, 1], [3, 1], [5, 4], [12, 1]], 1/51840000], [[[1, 2], [2, 1], [3, 1], [6, 1], [9, 3]], 1/15552], [[[1, 2], [2, 1], [3, 1], [6, 1], [18, 3]], 1/15552], [[[1, 2], [2, 1], [3, 1], [6, 1], [27, 1]], 1/216], [[[1, 2], [2, 1], [3, 1], [6, 1], [54, 1]], 1/216], [[[1, 2], [2, 1], [3, 1], [6, 2], [8, 4]], 1/17694720], [[[1, 2], [2, 1], [3, 1], [6, 2], [10, 4]], 1/311040000], [[[1, 2], [2, 1], [3, 1], [6, 2], [12, 4]], 203/1074954240], [[[1, 2], [2, 1], [3, 1], [6, 2], [15, 2]], 1/777600], [[[1, 2], [2, 1], [3, 1], [6, 2], [16, 2]], 1/165888], [[[1, 2], [2, 1], [3, 1], [6, 2], [20, 2]], 1/207360], [[[1, 2], [2, 1], [3, 1], [6, 2], [24, 2]], 1/165888], [[[1, 2], [2, 1], [3, 1], [6, 2], [30, 2]], 1/777600], [[[1, 2], [2, 1], [3, 1], [6, 2], [40, 1]], 1/17280], [[[1, 2], [2, 1], [3, 1], [6, 2], [48, 1]], 1/20736], [[[1, 2], [2, 1], [3, 1], [6, 2], [60, 1]], 1/25920], [[[1, 2], [2, 1], [3, 1], [6, 4], [8, 3]], 1/2866544640], [[[1, 2], [2, 1], [3, 1], [6, 4], [9, 2]], 1/453496320], [[[1, 2], [2, 1], [3, 1], [6, 4], [12, 3]], 361/3224862720], [[[1, 2], [2, 1], [3, 1], [6, 4], [18, 2]], 1/2519424], [[[1, 2], [2, 1], [3, 1], [6, 6], [8, 2]], 1/12899450880], [[[1, 2], [2, 1], [3, 1], [6, 6], [10, 2]], 1/40310784000], [[[1, 2], [2, 1], [3, 1], [6, 6], [12, 2]], 277/19349176320], [[[1, 2], [2, 1], [3, 1], [6, 6], [15, 1]], 1/2015539200], [[[1, 2], [2, 1], [3, 1], [6, 6], [20, 1]], 1/1343692800], [[[1, 2], [2, 1], [3, 1], [6, 6], [24, 1]], 1/1612431360], [[[1, 2], [2, 1], [3, 1], [6, 6], [30, 1]], 1/2015539200], [[[1, 2], [2, 1], [3, 1], [6, 7], [9, 1]], 1/43535646720], [[[1, 2], [2, 1], [3, 1], [6, 7], [18, 1]], 1/3627970560], [[[1, 2], [2, 1], [3, 1], [6, 8], [8, 1]], 1/4643802316800], [[[1, 2], [2, 1], [3, 1], [6, 8], [12, 1]], 181/3482851737600], [[[1, 2], [2, 1], [3, 1], [8, 1], [10, 4]], 1/69120000], [[[1, 2], [2, 1], [3, 1], [8, 1], [12, 4]], 23/238878720], [[[1, 2], [2, 1], [3, 1], [8, 1], [15, 2]], 1/172800], [[[1, 2], [2, 1], [3, 1], [8, 1], [16, 2]], 1/36864], [[[1, 2], [2, 1], [3, 1], [8, 1], [20, 2]], 1/46080], [[[1, 2], [2, 1], [3, 1], [8, 1], [24, 2]], 1/36864], [[[1, 2], [2, 1], [3, 1], [8, 1], [30, 2]], 1/172800], [[[1, 2], [2, 1], [3, 1], [8, 1], [40, 1]], 1/3840], [[[1, 2], [2, 1], [3, 1], [8, 1], [48, 1]], 1/4608], [[[1, 2], [2, 1], [3, 1], [8, 1], [60, 1]], 1/5760], [[[1, 2], [2, 1], [3, 1], [8, 2], [9, 2]], 1/559872], [[[1, 2], [2, 1], [3, 1], [8, 2], [12, 3]], 1/3981312], [[[1, 2], [2, 1], [3, 1], [8, 3], [10, 2]], 1/11059200], [[[1, 2], [2, 1], [3, 1], [8, 3], [12, 2]], 1/5308416], [[[1, 2], [2, 1], [3, 1], [8, 3], [15, 1]], 1/552960], [[[1, 2], [2, 1], [3, 1], [8, 3], [20, 1]], 1/368640], [[[1, 2], [2, 1], [3, 1], [8, 3], [24, 1]], 11/147456], [[[1, 2], [2, 1], [3, 1], [8, 3], [30, 1]], 1/552960], [[[1, 2], [2, 1], [3, 1], [8, 4], [12, 1]], 1/2949120], [[[1, 2], [2, 1], [3, 1], [9, 2], [10, 2]], 1/1749600], [[[1, 2], [2, 1], [3, 1], [9, 2], [12, 2]], 1/839808], [[[1, 2], [2, 1], [3, 1], [9, 2], [15, 1]], 1/87480], [[[1, 2], [2, 1], [3, 1], [9, 2], [20, 1]], 1/58320], [[[1, 2], [2, 1], [3, 1], [9, 2], [24, 1]], 1/69984], [[[1, 2], [2, 1], [3, 1], [9, 2], [30, 1]], 1/87480], [[[1, 2], [2, 1], [3, 1], [10, 2], [12, 3]], 1/12441600], [[[1, 2], [2, 1], [3, 1], [10, 4], [12, 1]], 1/51840000], [[[1, 2], [2, 1], [3, 1], [12, 1], [15, 2]], 1/129600], [[[1, 2], [2, 1], [3, 1], [12, 1], [16, 2]], 1/27648], [[[1, 2], [2, 1], [3, 1], [12, 1], [20, 2]], 1/34560], [[[1, 2], [2, 1], [3, 1], [12, 1], [24, 2]], 1/27648], [[[1, 2], [2, 1], [3, 1], [12, 1], [30, 2]], 1/129600], [[[1, 2], [2, 1], [3, 1], [12, 1], [40, 1]], 1/2880], [[[1, 2], [2, 1], [3, 1], [12, 1], [48, 1]], 1/3456], [[[1, 2], [2, 1], [3, 1], [12, 1], [60, 1]], 1/4320], [[[1, 2], [2, 1], [3, 1], [12, 2], [36, 1]], 1/7776], [[[1, 2], [2, 1], [3, 1], [12, 3], [15, 1]], 1/622080], [[[1, 2], [2, 1], [3, 1], [12, 3], [20, 1]], 1/414720], [[[1, 2], [2, 1], [3, 1], [12, 3], [24, 1]], 13/497664], [[[1, 2], [2, 1], [3, 1], [12, 3], [30, 1]], 1/622080], [[[1, 2], [2, 1], [3, 2], [4, 1], [12, 4]], 7/11943936], [[[1, 2], [2, 1], [3, 2], [4, 3], [6, 6]], 1/412782428160], [[[1, 2], [2, 1], [3, 2], [4, 3], [9, 2]], 1/8957952], [[[1, 2], [2, 1], [3, 2], [4, 3], [12, 3]], 385/127401984], [[[1, 2], [2, 1], [3, 2], [4, 4], [6, 5]], 11/4127824281600], [[[1, 2], [2, 1], [3, 2], [4, 5], [12, 2]], 17/127401984], [[[1, 2], [2, 1], [3, 2], [4, 6], [9, 1]], 1/2866544640], [[[1, 2], [2, 1], [3, 2], [4, 7], [6, 2]], 17/513684799488], [[[1, 2], [2, 1], [3, 2], [4, 7], [12, 1]], 17/85614133248], [[[1, 2], [2, 1], [3, 2], [4, 8], [6, 1]], 17/10273695989760], [[[1, 2], [2, 1], [3, 2], [5, 2], [6, 5]], 11/53747712000], [[[1, 2], [2, 1], [3, 2], [5, 3], [9, 1]], 1/1944000], [[[1, 2], [2, 1], [3, 2], [5, 4], [6, 1]], 1/414720000], [[[1, 2], [2, 1], [3, 2], [6, 1], [8, 4]], 1/23592960], [[[1, 2], [2, 1], [3, 2], [6, 1], [10, 4]], 1/414720000], [[[1, 2], [2, 1], [3, 2], [6, 1], [12, 4]], 203/1433272320], [[[1, 2], [2, 1], [3, 2], [6, 1], [15, 2]], 1/1036800], [[[1, 2], [2, 1], [3, 2], [6, 1], [16, 2]], 1/221184], [[[1, 2], [2, 1], [3, 2], [6, 1], [20, 2]], 1/276480], [[[1, 2], [2, 1], [3, 2], [6, 1], [24, 2]], 1/221184], [[[1, 2], [2, 1], [3, 2], [6, 1], [30, 2]], 1/1036800], [[[1, 2], [2, 1], [3, 2], [6, 1], [40, 1]], 1/23040], [[[1, 2], [2, 1], [3, 2], [6, 1], [48, 1]], 1/27648], [[[1, 2], [2, 1], [3, 2], [6, 1], [60, 1]], 1/34560], [[[1, 2], [2, 1], [3, 2], [6, 3], [8, 3]], 1/31850496], [[[1, 2], [2, 1], [3, 2], [6, 3], [9, 2]], 1/30233088], [[[1, 2], [2, 1], [3, 2], [6, 3], [10, 3]], 1/124416000], [[[1, 2], [2, 1], [3, 2], [6, 3], [12, 3]], 1369/429981696], [[[1, 2], [2, 1], [3, 2], [6, 3], [18, 2]], 1/2239488], [[[1, 2], [2, 1], [3, 2], [6, 5], [8, 2]], 11/17199267840], [[[1, 2], [2, 1], [3, 2], [6, 5], [10, 2]], 11/53747712000], [[[1, 2], [2, 1], [3, 2], [6, 5], [12, 2]], 2327/25798901760], [[[1, 2], [2, 1], [3, 2], [6, 5], [15, 1]], 11/2687385600], [[[1, 2], [2, 1], [3, 2], [6, 5], [20, 1]], 11/1791590400], [[[1, 2], [2, 1], [3, 2], [6, 5], [24, 1]], 731/2149908480], [[[1, 2], [2, 1], [3, 2], [6, 5], [30, 1]], 11/2687385600], [[[1, 2], [2, 1], [3, 2], [6, 6], [7, 1]], 1/7524679680], [[[1, 2], [2, 1], [3, 2], [6, 6], [9, 1]], 1/2902376448], [[[1, 2], [2, 1], [3, 2], [6, 6], [14, 1]], 1/15049359360], [[[1, 2], [2, 1], [3, 2], [6, 6], [18, 1]], 1/429981696], [[[1, 2], [2, 1], [3, 2], [6, 7], [8, 1]], 1/25798901760], [[[1, 2], [2, 1], [3, 2], [6, 7], [10, 1]], 1/32248627200], [[[1, 2], [2, 1], [3, 2], [6, 7], [12, 1]], 109/232190115840], [[[1, 2], [2, 1], [3, 2], [7, 1], [9, 2]], 1/163296], [[[1, 2], [2, 1], [3, 2], [7, 1], [12, 3]], 1/2322432], [[[1, 2], [2, 1], [3, 2], [7, 1], [21, 1]], 1/168], [[[1, 2], [2, 1], [3, 2], [8, 3], [9, 1]], 1/995328], [[[1, 2], [2, 1], [3, 2], [9, 1], [12, 3]], 5/4478976], [[[1, 2], [2, 1], [3, 2], [9, 1], [18, 2]], 1/5184], [[[1, 2], [2, 1], [3, 2], [9, 1], [36, 1]], 1/864], [[[1, 2], [2, 1], [3, 2], [9, 2], [14, 1]], 1/326592], [[[1, 2], [2, 1], [3, 2], [9, 2], [18, 1]], 1/419904], [[[1, 2], [2, 1], [3, 2], [12, 3], [14, 1]], 1/4644864], [[[1, 2], [2, 1], [3, 2], [12, 3], [18, 1]], 1/5971968], [[[1, 2], [2, 1], [3, 3], [4, 1], [6, 7]], 5/7739670528], [[[1, 2], [2, 1], [3, 3], [4, 2], [6, 6]], 1/309586821120], [[[1, 2], [2, 1], [3, 3], [4, 2], [9, 2]], 1/6718464], [[[1, 2], [2, 1], [3, 3], [4, 2], [12, 3]], 5489/7739670528], [[[1, 2], [2, 1], [3, 3], [4, 2], [28, 1]], 1/217728], [[[1, 2], [2, 1], [3, 3], [4, 2], [36, 1]], 1/839808], [[[1, 2], [2, 1], [3, 3], [4, 4], [5, 2]], 1/107495424000], [[[1, 2], [2, 1], [3, 3], [4, 4], [6, 4]], 811/27862813900800], [[[1, 2], [2, 1], [3, 3], [4, 4], [8, 2]], 241/34398535680], [[[1, 2], [2, 1], [3, 3], [4, 4], [10, 2]], 1/107495424000], [[[1, 2], [2, 1], [3, 3], [4, 4], [12, 2]], 1211/10319560704], [[[1, 2], [2, 1], [3, 3], [4, 4], [15, 1]], 1/5374771200], [[[1, 2], [2, 1], [3, 3], [4, 4], [20, 1]], 77/716636160], [[[1, 2], [2, 1], [3, 3], [4, 4], [24, 1]], 1/4299816960], [[[1, 2], [2, 1], [3, 3], [4, 4], [30, 1]], 1/5374771200], [[[1, 2], [2, 1], [3, 3], [4, 5], [6, 3]], 5/2293235712], [[[1, 2], [2, 1], [3, 3], [4, 6], [6, 2]], 1/91729428480], [[[1, 2], [2, 1], [3, 3], [4, 6], [12, 1]], 689/1238347284480], [[[1, 2], [2, 1], [3, 3], [5, 1], [6, 6]], 1/16124313600], [[[1, 2], [2, 1], [3, 3], [5, 1], [9, 2]], 1/349920], [[[1, 2], [2, 1], [3, 3], [5, 1], [12, 3]], 1/4976640], [[[1, 2], [2, 1], [3, 3], [5, 2], [6, 4]], 811/362797056000], [[[1, 2], [2, 1], [3, 3], [5, 2], [8, 2]], 1/447897600], [[[1, 2], [2, 1], [3, 3], [5, 2], [10, 2]], 301/1399680000], [[[1, 2], [2, 1], [3, 3], [5, 2], [12, 2]], 11/134369280], [[[1, 2], [2, 1], [3, 3], [5, 2], [15, 1]], 1/69984000], [[[1, 2], [2, 1], [3, 3], [5, 2], [20, 1]], 1/46656000], [[[1, 2], [2, 1], [3, 3], [5, 2], [24, 1]], 1/55987200], [[[1, 2], [2, 1], [3, 3], [5, 2], [30, 1]], 1/69984000], [[[1, 2], [2, 1], [3, 3], [5, 3], [6, 2]], 1/62208000], [[[1, 2], [2, 1], [3, 3], [5, 3], [12, 1]], 1/10368000], [[[1, 2], [2, 1], [3, 3], [6, 2], [8, 3]], 1/31850496], [[[1, 2], [2, 1], [3, 3], [6, 2], [9, 2]], 1/1679616], [[[1, 2], [2, 1], [3, 3], [6, 2], [12, 3]], 1369/322486272], [[[1, 2], [2, 1], [3, 3], [6, 2], [18, 2]], 1/22674816], [[[1, 2], [2, 1], [3, 3], [6, 4], [8, 2]], 811/116095057920], [[[1, 2], [2, 1], [3, 3], [6, 4], [10, 2]], 811/362797056000], [[[1, 2], [2, 1], [3, 3], [6, 4], [12, 2]], 25499/34828517376], [[[1, 2], [2, 1], [3, 3], [6, 4], [15, 1]], 811/18139852800], [[[1, 2], [2, 1], [3, 3], [6, 4], [20, 1]], 811/12093235200], [[[1, 2], [2, 1], [3, 3], [6, 4], [24, 1]], 59131/14511882240], [[[1, 2], [2, 1], [3, 3], [6, 4], [30, 1]], 811/18139852800], [[[1, 2], [2, 1], [3, 3], [6, 5], [9, 1]], 11/4837294080], [[[1, 2], [2, 1], [3, 3], [6, 5], [18, 1]], 811/32651735040], [[[1, 2], [2, 1], [3, 3], [6, 6], [8, 1]], 1/25798901760], [[[1, 2], [2, 1], [3, 3], [6, 6], [12, 1]], 829/174142586880], [[[1, 2], [2, 1], [3, 3], [8, 1], [9, 2]], 1/559872], [[[1, 2], [2, 1], [3, 3], [8, 1], [12, 3]], 1/7962624], [[[1, 2], [2, 1], [3, 3], [8, 2], [10, 2]], 1/447897600], [[[1, 2], [2, 1], [3, 3], [8, 2], [12, 2]], 55/214990848], [[[1, 2], [2, 1], [3, 3], [8, 2], [15, 1]], 1/22394880], [[[1, 2], [2, 1], [3, 3], [8, 2], [20, 1]], 1/14929920], [[[1, 2], [2, 1], [3, 3], [8, 2], [24, 1]], 11/5971968], [[[1, 2], [2, 1], [3, 3], [8, 2], [30, 1]], 1/22394880], [[[1, 2], [2, 1], [3, 3], [8, 3], [12, 1]], 1/5308416], [[[1, 2], [2, 1], [3, 3], [9, 2], [12, 1]], 1/279936], [[[1, 2], [2, 1], [3, 3], [10, 2], [12, 2]], 11/134369280], [[[1, 2], [2, 1], [3, 3], [10, 2], [15, 1]], 1/69984000], [[[1, 2], [2, 1], [3, 3], [10, 2], [20, 1]], 1/46656000], [[[1, 2], [2, 1], [3, 3], [10, 2], [24, 1]], 1/55987200], [[[1, 2], [2, 1], [3, 3], [10, 2], [30, 1]], 1/69984000], [[[1, 2], [2, 1], [3, 3], [12, 1], [36, 1]], 1/419904], [[[1, 2], [2, 1], [3, 3], [12, 2], [15, 1]], 11/6718464], [[[1, 2], [2, 1], [3, 3], [12, 2], [20, 1]], 11/4478976], [[[1, 2], [2, 1], [3, 3], [12, 2], [24, 1]], 67/26873856], [[[1, 2], [2, 1], [3, 3], [12, 2], [30, 1]], 11/6718464], [[[1, 2], [2, 1], [3, 3], [15, 1], [20, 1]], 1/2332800], [[[1, 2], [2, 1], [3, 3], [15, 1], [24, 1]], 1/2799360], [[[1, 2], [2, 1], [3, 3], [15, 1], [30, 1]], 1/218700], [[[1, 2], [2, 1], [3, 3], [20, 1], [24, 1]], 1/1866240], [[[1, 2], [2, 1], [3, 3], [20, 1], [30, 1]], 1/2332800], [[[1, 2], [2, 1], [3, 3], [24, 1], [30, 1]], 1/2799360], [[[1, 2], [2, 1], [3, 4], [4, 1], [5, 3]], 1/7464960000], [[[1, 2], [2, 1], [3, 4], [4, 1], [8, 3]], 1/283115520], [[[1, 2], [2, 1], [3, 4], [4, 1], [10, 3]], 1/7464960000], [[[1, 2], [2, 1], [3, 4], [4, 1], [12, 3]], 817/6449725440], [[[1, 2], [2, 1], [3, 4], [4, 1], [28, 1]], 1/17418240], [[[1, 2], [2, 1], [3, 4], [4, 1], [36, 1]], 1/22394880], [[[1, 2], [2, 1], [3, 4], [4, 3], [5, 2]], 1/143327232000], [[[1, 2], [2, 1], [3, 4], [4, 3], [6, 4]], 81811/37150418534400], [[[1, 2], [2, 1], [3, 4], [4, 3], [8, 2]], 49/45864714240], [[[1, 2], [2, 1], [3, 4], [4, 3], [10, 2]], 1/143327232000], [[[1, 2], [2, 1], [3, 4], [4, 3], [12, 2]], 131/13759414272], [[[1, 2], [2, 1], [3, 4], [4, 3], [15, 1]], 1/7166361600], [[[1, 2], [2, 1], [3, 4], [4, 3], [16, 1]], 1/238878720], [[[1, 2], [2, 1], [3, 4], [4, 3], [20, 1]], 13/955514880], [[[1, 2], [2, 1], [3, 4], [4, 3], [24, 1]], 1/5733089280], [[[1, 2], [2, 1], [3, 4], [4, 3], [30, 1]], 1/7166361600], [[[1, 2], [2, 1], [3, 4], [4, 4], [6, 3]], 811/37150418534400], [[[1, 2], [2, 1], [3, 4], [4, 4], [7, 1]], 1/200658124800], [[[1, 2], [2, 1], [3, 4], [4, 4], [9, 1]], 41/386983526400], [[[1, 2], [2, 1], [3, 4], [4, 4], [14, 1]], 1/401316249600], [[[1, 2], [2, 1], [3, 4], [4, 4], [18, 1]], 1/515978035200], [[[1, 2], [2, 1], [3, 4], [4, 5], [5, 1]], 1/573308928000], [[[1, 2], [2, 1], [3, 4], [4, 5], [8, 1]], 203/1834588569600], [[[1, 2], [2, 1], [3, 4], [4, 5], [10, 1]], 1/573308928000], [[[1, 2], [2, 1], [3, 4], [4, 5], [12, 1]], 17/68797071360], [[[1, 2], [2, 1], [3, 4], [5, 2], [6, 3]], 811/483729408000], [[[1, 2], [2, 1], [3, 4], [5, 2], [7, 1]], 1/2612736000], [[[1, 2], [2, 1], [3, 4], [5, 2], [9, 1]], 41/5038848000], [[[1, 2], [2, 1], [3, 4], [5, 2], [14, 1]], 1/5225472000], [[[1, 2], [2, 1], [3, 4], [5, 2], [18, 1]], 1/6718464000], [[[1, 2], [2, 1], [3, 4], [6, 1], [8, 3]], 1/2866544640], [[[1, 2], [2, 1], [3, 4], [6, 1], [9, 2]], 1/3359232], [[[1, 2], [2, 1], [3, 4], [6, 1], [10, 3]], 1/11197440000], [[[1, 2], [2, 1], [3, 4], [6, 1], [12, 3]], 361/4299816960], [[[1, 2], [2, 1], [3, 4], [6, 1], [18, 2]], 1/604661760], [[[1, 2], [2, 1], [3, 4], [6, 3], [8, 2]], 811/154793410560], [[[1, 2], [2, 1], [3, 4], [6, 3], [10, 2]], 811/483729408000], [[[1, 2], [2, 1], [3, 4], [6, 3], [12, 2]], 25499/46438023168], [[[1, 2], [2, 1], [3, 4], [6, 3], [15, 1]], 811/24186470400], [[[1, 2], [2, 1], [3, 4], [6, 3], [20, 1]], 811/16124313600], [[[1, 2], [2, 1], [3, 4], [6, 3], [24, 1]], 59131/19349176320], [[[1, 2], [2, 1], [3, 4], [6, 3], [30, 1]], 811/24186470400], [[[1, 2], [2, 1], [3, 4], [6, 4], [7, 1]], 81811/677221171200], [[[1, 2], [2, 1], [3, 4], [6, 4], [9, 1]], 114251/1306069401600], [[[1, 2], [2, 1], [3, 4], [6, 4], [14, 1]], 81811/1354442342400], [[[1, 2], [2, 1], [3, 4], [6, 4], [18, 1]], 114251/1741425868800], [[[1, 2], [2, 1], [3, 4], [6, 5], [8, 1]], 81811/2321901158400], [[[1, 2], [2, 1], [3, 4], [6, 5], [10, 1]], 81811/2902376448000], [[[1, 2], [2, 1], [3, 4], [6, 5], [12, 1]], 90911/2321901158400], [[[1, 2], [2, 1], [3, 4], [7, 1], [8, 2]], 1/836075520], [[[1, 2], [2, 1], [3, 4], [7, 1], [10, 2]], 1/2612736000], [[[1, 2], [2, 1], [3, 4], [7, 1], [12, 2]], 271/1254113280], [[[1, 2], [2, 1], [3, 4], [7, 1], [15, 1]], 1/130636800], [[[1, 2], [2, 1], [3, 4], [7, 1], [20, 1]], 1/87091200], [[[1, 2], [2, 1], [3, 4], [7, 1], [24, 1]], 1/104509440], [[[1, 2], [2, 1], [3, 4], [7, 1], [30, 1]], 1/130636800], [[[1, 2], [2, 1], [3, 4], [8, 2], [9, 1]], 41/1612431360], [[[1, 2], [2, 1], [3, 4], [8, 2], [14, 1]], 1/1672151040], [[[1, 2], [2, 1], [3, 4], [8, 2], [18, 1]], 1/2149908480], [[[1, 2], [2, 1], [3, 4], [9, 1], [10, 2]], 41/5038848000], [[[1, 2], [2, 1], [3, 4], [9, 1], [12, 2]], 2471/2418647040], [[[1, 2], [2, 1], [3, 4], [9, 1], [15, 1]], 41/251942400], [[[1, 2], [2, 1], [3, 4], [9, 1], [20, 1]], 41/167961600], [[[1, 2], [2, 1], [3, 4], [9, 1], [24, 1]], 41/201553920], [[[1, 2], [2, 1], [3, 4], [9, 1], [30, 1]], 41/251942400], [[[1, 2], [2, 1], [3, 4], [10, 2], [14, 1]], 1/5225472000], [[[1, 2], [2, 1], [3, 4], [10, 2], [18, 1]], 1/6718464000], [[[1, 2], [2, 1], [3, 4], [12, 2], [14, 1]], 271/2508226560], [[[1, 2], [2, 1], [3, 4], [12, 2], [18, 1]], 271/3224862720], [[[1, 2], [2, 1], [3, 4], [14, 1], [15, 1]], 1/261273600], [[[1, 2], [2, 1], [3, 4], [14, 1], [20, 1]], 1/174182400], [[[1, 2], [2, 1], [3, 4], [14, 1], [24, 1]], 1/209018880], [[[1, 2], [2, 1], [3, 4], [14, 1], [30, 1]], 1/261273600], [[[1, 2], [2, 1], [3, 4], [15, 1], [18, 1]], 1/335923200], [[[1, 2], [2, 1], [3, 4], [18, 1], [20, 1]], 1/223948800], [[[1, 2], [2, 1], [3, 4], [18, 1], [24, 1]], 1/268738560], [[[1, 2], [2, 1], [3, 4], [18, 1], [30, 1]], 1/335923200], [[[1, 2], [2, 1], [3, 5], [4, 1], [6, 5]], 276211/3482851737600], [[[1, 2], [2, 1], [3, 5], [4, 2], [5, 2]], 1/107495424000], [[[1, 2], [2, 1], [3, 5], [4, 2], [6, 4]], 81811/27862813900800], [[[1, 2], [2, 1], [3, 5], [4, 2], [8, 2]], 1/34398535680], [[[1, 2], [2, 1], [3, 5], [4, 2], [10, 2]], 1/107495424000], [[[1, 2], [2, 1], [3, 5], [4, 2], [12, 2]], 65/3439853568], [[[1, 2], [2, 1], [3, 5], [4, 2], [15, 1]], 1/5374771200], [[[1, 2], [2, 1], [3, 5], [4, 2], [20, 1]], 1/3583180800], [[[1, 2], [2, 1], [3, 5], [4, 2], [24, 1]], 1/4299816960], [[[1, 2], [2, 1], [3, 5], [4, 2], [30, 1]], 1/5374771200], [[[1, 2], [2, 1], [3, 5], [4, 3], [9, 1]], 1/12899450880], [[[1, 2], [2, 1], [3, 5], [4, 4], [5, 1]], 1/429981696000], [[[1, 2], [2, 1], [3, 5], [4, 4], [6, 2]], 11/3095868211200], [[[1, 2], [2, 1], [3, 5], [4, 4], [8, 1]], 1/687970713600], [[[1, 2], [2, 1], [3, 5], [4, 4], [12, 1]], 17/171992678400], [[[1, 2], [2, 1], [3, 5], [4, 5], [6, 1]], 1/1031956070400], [[[1, 2], [2, 1], [3, 5], [5, 1], [6, 4]], 81811/1451188224000], [[[1, 2], [2, 1], [3, 5], [5, 1], [8, 2]], 1/1791590400], [[[1, 2], [2, 1], [3, 5], [5, 1], [10, 2]], 1/5598720000], [[[1, 2], [2, 1], [3, 5], [5, 1], [12, 2]], 271/2687385600], [[[1, 2], [2, 1], [3, 5], [5, 1], [15, 1]], 1/279936000], [[[1, 2], [2, 1], [3, 5], [5, 1], [20, 1]], 1/186624000], [[[1, 2], [2, 1], [3, 5], [5, 1], [24, 1]], 1/223948800], [[[1, 2], [2, 1], [3, 5], [5, 1], [30, 1]], 1/279936000], [[[1, 2], [2, 1], [3, 5], [5, 2], [6, 2]], 11/40310784000], [[[1, 2], [2, 1], [3, 5], [5, 2], [8, 1]], 1/8957952000], [[[1, 2], [2, 1], [3, 5], [5, 2], [12, 1]], 11/6718464000], [[[1, 2], [2, 1], [3, 5], [6, 2], [8, 2]], 11/12899450880], [[[1, 2], [2, 1], [3, 5], [6, 2], [10, 2]], 11/40310784000], [[[1, 2], [2, 1], [3, 5], [6, 2], [12, 2]], 2327/19349176320], [[[1, 2], [2, 1], [3, 5], [6, 2], [15, 1]], 11/2015539200], [[[1, 2], [2, 1], [3, 5], [6, 2], [20, 1]], 11/1343692800], [[[1, 2], [2, 1], [3, 5], [6, 2], [24, 1]], 731/1612431360], [[[1, 2], [2, 1], [3, 5], [6, 2], [30, 1]], 11/2015539200], [[[1, 2], [2, 1], [3, 5], [6, 3], [9, 1]], 811/43535646720], [[[1, 2], [2, 1], [3, 5], [6, 3], [18, 1]], 11/3627970560], [[[1, 2], [2, 1], [3, 5], [6, 4], [8, 1]], 81811/2321901158400], [[[1, 2], [2, 1], [3, 5], [6, 4], [12, 1]], 90911/1741425868800], [[[1, 2], [2, 1], [3, 5], [7, 1], [9, 1]], 1/235146240], [[[1, 2], [2, 1], [3, 5], [8, 1], [10, 2]], 1/8957952000], [[[1, 2], [2, 1], [3, 5], [8, 1], [12, 2]], 271/4299816960], [[[1, 2], [2, 1], [3, 5], [8, 1], [15, 1]], 1/447897600], [[[1, 2], [2, 1], [3, 5], [8, 1], [20, 1]], 1/298598400], [[[1, 2], [2, 1], [3, 5], [8, 1], [24, 1]], 1/358318080], [[[1, 2], [2, 1], [3, 5], [8, 1], [30, 1]], 1/447897600], [[[1, 2], [2, 1], [3, 5], [8, 2], [12, 1]], 11/2149908480], [[[1, 2], [2, 1], [3, 5], [9, 1], [14, 1]], 1/470292480], [[[1, 2], [2, 1], [3, 5], [9, 1], [18, 1]], 1/604661760], [[[1, 2], [2, 1], [3, 5], [10, 2], [12, 1]], 11/6718464000], [[[1, 2], [2, 1], [3, 5], [12, 1], [15, 1]], 11/335923200], [[[1, 2], [2, 1], [3, 5], [12, 1], [20, 1]], 11/223948800], [[[1, 2], [2, 1], [3, 5], [12, 1], [24, 1]], 11/268738560], [[[1, 2], [2, 1], [3, 5], [12, 1], [30, 1]], 11/335923200], [[[1, 2], [2, 1], [3, 6], [4, 1], [12, 2]], 1/2149908480], [[[1, 2], [2, 1], [3, 6], [4, 2], [9, 1]], 1/9674588160], [[[1, 2], [2, 1], [3, 6], [4, 3], [6, 2]], 1/412782428160], [[[1, 2], [2, 1], [3, 6], [4, 3], [12, 1]], 1/68797071360], [[[1, 2], [2, 1], [3, 6], [4, 4], [6, 1]], 1/4127824281600], [[[1, 2], [2, 1], [3, 6], [5, 1], [9, 1]], 1/503884800], [[[1, 2], [2, 1], [3, 6], [5, 2], [6, 1]], 1/53747712000], [[[1, 2], [2, 1], [3, 6], [6, 1], [8, 2]], 1/17199267840], [[[1, 2], [2, 1], [3, 6], [6, 1], [10, 2]], 1/53747712000], [[[1, 2], [2, 1], [3, 6], [6, 1], [12, 2]], 277/25798901760], [[[1, 2], [2, 1], [3, 6], [6, 1], [15, 1]], 1/2687385600], [[[1, 2], [2, 1], [3, 6], [6, 1], [20, 1]], 1/1791590400], [[[1, 2], [2, 1], [3, 6], [6, 1], [24, 1]], 1/2149908480], [[[1, 2], [2, 1], [3, 6], [6, 1], [30, 1]], 1/2687385600], [[[1, 2], [2, 1], [3, 6], [6, 2], [7, 1]], 1/7524679680], [[[1, 2], [2, 1], [3, 6], [6, 2], [9, 1]], 1/322486272], [[[1, 2], [2, 1], [3, 6], [6, 2], [14, 1]], 1/15049359360], [[[1, 2], [2, 1], [3, 6], [6, 2], [18, 1]], 1/3869835264], [[[1, 2], [2, 1], [3, 6], [6, 3], [8, 1]], 1/25798901760], [[[1, 2], [2, 1], [3, 6], [6, 3], [10, 1]], 1/32248627200], [[[1, 2], [2, 1], [3, 6], [6, 3], [12, 1]], 829/232190115840], [[[1, 2], [2, 1], [3, 6], [7, 1], [12, 1]], 1/1254113280], [[[1, 2], [2, 1], [3, 6], [8, 1], [9, 1]], 1/806215680], [[[1, 2], [2, 1], [3, 6], [9, 1], [12, 1]], 1/53747712], [[[1, 2], [2, 1], [3, 6], [12, 1], [14, 1]], 1/2508226560], [[[1, 2], [2, 1], [3, 6], [12, 1], [18, 1]], 1/3224862720], [[[1, 2], [2, 1], [3, 7], [4, 1], [6, 3]], 5/7739670528], [[[1, 2], [2, 1], [3, 7], [4, 2], [6, 2]], 1/309586821120], [[[1, 2], [2, 1], [3, 7], [4, 2], [12, 1]], 59/1393140695040], [[[1, 2], [2, 1], [3, 7], [5, 1], [6, 2]], 1/16124313600], [[[1, 2], [2, 1], [3, 7], [5, 1], [12, 1]], 1/2687385600], [[[1, 2], [2, 1], [3, 7], [6, 1], [9, 1]], 1/4837294080], [[[1, 2], [2, 1], [3, 7], [6, 1], [18, 1]], 1/32651735040], [[[1, 2], [2, 1], [3, 7], [6, 2], [8, 1]], 1/25798901760], [[[1, 2], [2, 1], [3, 7], [6, 2], [12, 1]], 109/174142586880], [[[1, 2], [2, 1], [3, 7], [8, 1], [12, 1]], 1/4299816960], [[[1, 2], [2, 1], [3, 8], [4, 1], [5, 1]], 1/3869835264000], [[[1, 2], [2, 1], [3, 8], [4, 1], [8, 1]], 11/12383472844800], [[[1, 2], [2, 1], [3, 8], [4, 1], [10, 1]], 1/3869835264000], [[[1, 2], [2, 1], [3, 8], [4, 1], [12, 1]], 1/2321901158400], [[[1, 2], [2, 1], [3, 8], [6, 1], [8, 1]], 1/4643802316800], [[[1, 2], [2, 1], [3, 8], [6, 1], [10, 1]], 1/5804752896000], [[[1, 2], [2, 1], [3, 8], [6, 1], [12, 1]], 181/4643802316800], [[[1, 2], [2, 1], [3, 9], [4, 1], [6, 1]], 1/6965703475200], [[[1, 2], [2, 1], [4, 1], [5, 1], [6, 8]], 1/3869835264000], [[[1, 2], [2, 1], [4, 1], [5, 1], [8, 4]], 1/3276800], [[[1, 2], [2, 1], [4, 1], [5, 1], [10, 4]], 1/57600000], [[[1, 2], [2, 1], [4, 1], [5, 1], [12, 4]], 23/199065600], [[[1, 2], [2, 1], [4, 1], [5, 1], [15, 2]], 1/144000], [[[1, 2], [2, 1], [4, 1], [5, 1], [16, 2]], 1/30720], [[[1, 2], [2, 1], [4, 1], [5, 1], [20, 2]], 1/38400], [[[1, 2], [2, 1], [4, 1], [5, 1], [24, 2]], 1/30720], [[[1, 2], [2, 1], [4, 1], [5, 1], [30, 2]], 1/144000], [[[1, 2], [2, 1], [4, 1], [5, 1], [40, 1]], 1/3200], [[[1, 2], [2, 1], [4, 1], [5, 1], [48, 1]], 1/3840], [[[1, 2], [2, 1], [4, 1], [5, 1], [60, 1]], 1/4800], [[[1, 2], [2, 1], [4, 1], [5, 2], [8, 3]], 3/3276800], [[[1, 2], [2, 1], [4, 1], [5, 2], [10, 3]], 301/28800000], [[[1, 2], [2, 1], [4, 1], [5, 2], [12, 3]], 7/24883200], [[[1, 2], [2, 1], [4, 1], [5, 2], [28, 1]], 1/67200], [[[1, 2], [2, 1], [4, 1], [5, 2], [36, 1]], 1/86400], [[[1, 2], [2, 1], [4, 1], [5, 3], [6, 4]], 1/7464960000], [[[1, 2], [2, 1], [4, 1], [5, 3], [8, 2]], 1/9216000], [[[1, 2], [2, 1], [4, 1], [5, 3], [10, 2]], 301/28800000], [[[1, 2], [2, 1], [4, 1], [5, 3], [12, 2]], 1/13824000], [[[1, 2], [2, 1], [4, 1], [5, 3], [15, 1]], 1/1440000], [[[1, 2], [2, 1], [4, 1], [5, 3], [20, 1]], 1/960000], [[[1, 2], [2, 1], [4, 1], [5, 3], [24, 1]], 1/1152000], [[[1, 2], [2, 1], [4, 1], [5, 3], [30, 1]], 1/1440000], [[[1, 2], [2, 1], [4, 1], [5, 4], [8, 1]], 11/184320000], [[[1, 2], [2, 1], [4, 1], [5, 4], [10, 1]], 1/57600000], [[[1, 2], [2, 1], [4, 1], [5, 4], [12, 1]], 1/34560000], [[[1, 2], [2, 1], [4, 1], [6, 2], [12, 4]], 7/11943936], [[[1, 2], [2, 1], [4, 1], [6, 4], [8, 3]], 1/283115520], [[[1, 2], [2, 1], [4, 1], [6, 4], [10, 3]], 1/7464960000], [[[1, 2], [2, 1], [4, 1], [6, 4], [12, 3]], 817/6449725440], [[[1, 2], [2, 1], [4, 1], [6, 4], [28, 1]], 1/17418240], [[[1, 2], [2, 1], [4, 1], [6, 4], [36, 1]], 1/22394880], [[[1, 2], [2, 1], [4, 1], [6, 6], [12, 2]], 1/2149908480], [[[1, 2], [2, 1], [4, 1], [6, 8], [8, 1]], 11/12383472844800], [[[1, 2], [2, 1], [4, 1], [6, 8], [10, 1]], 1/3869835264000], [[[1, 2], [2, 1], [4, 1], [6, 8], [12, 1]], 1/2321901158400], [[[1, 2], [2, 1], [4, 1], [8, 1], [10, 4]], 11/184320000], [[[1, 2], [2, 1], [4, 1], [8, 1], [12, 4]], 253/637009920], [[[1, 2], [2, 1], [4, 1], [8, 1], [15, 2]], 11/460800], [[[1, 2], [2, 1], [4, 1], [8, 1], [16, 2]], 11/98304], [[[1, 2], [2, 1], [4, 1], [8, 1], [20, 2]], 247/614400], [[[1, 2], [2, 1], [4, 1], [8, 1], [24, 2]], 161/294912], [[[1, 2], [2, 1], [4, 1], [8, 1], [30, 2]], 11/460800], [[[1, 2], [2, 1], [4, 1], [8, 1], [40, 1]], 11/10240], [[[1, 2], [2, 1], [4, 1], [8, 1], [48, 1]], 11/12288], [[[1, 2], [2, 1], [4, 1], [8, 1], [60, 1]], 11/15360], [[[1, 2], [2, 1], [4, 1], [8, 2], [10, 3]], 1/9216000], [[[1, 2], [2, 1], [4, 1], [8, 2], [12, 3]], 7/7962624], [[[1, 2], [2, 1], [4, 1], [8, 2], [28, 1]], 1/21504], [[[1, 2], [2, 1], [4, 1], [8, 2], [36, 1]], 1/27648], [[[1, 2], [2, 1], [4, 1], [8, 3], [10, 2]], 3/3276800], [[[1, 2], [2, 1], [4, 1], [8, 3], [12, 2]], 1/524288], [[[1, 2], [2, 1], [4, 1], [8, 3], [15, 1]], 3/163840], [[[1, 2], [2, 1], [4, 1], [8, 3], [16, 1]], 5/49152], [[[1, 2], [2, 1], [4, 1], [8, 3], [20, 1]], 59/983040], [[[1, 2], [2, 1], [4, 1], [8, 3], [24, 1]], 443/1179648], [[[1, 2], [2, 1], [4, 1], [8, 3], [30, 1]], 3/163840], [[[1, 2], [2, 1], [4, 1], [8, 4], [10, 1]], 1/3276800], [[[1, 2], [2, 1], [4, 1], [8, 4], [12, 1]], 1/1966080], [[[1, 2], [2, 1], [4, 1], [10, 1], [12, 4]], 23/199065600], [[[1, 2], [2, 1], [4, 1], [10, 1], [15, 2]], 1/144000], [[[1, 2], [2, 1], [4, 1], [10, 1], [16, 2]], 1/30720], [[[1, 2], [2, 1], [4, 1], [10, 1], [20, 2]], 1/38400], [[[1, 2], [2, 1], [4, 1], [10, 1], [24, 2]], 1/30720], [[[1, 2], [2, 1], [4, 1], [10, 1], [30, 2]], 1/144000], [[[1, 2], [2, 1], [4, 1], [10, 1], [40, 1]], 1/3200], [[[1, 2], [2, 1], [4, 1], [10, 1], [48, 1]], 1/3840], [[[1, 2], [2, 1], [4, 1], [10, 1], [60, 1]], 1/4800], [[[1, 2], [2, 1], [4, 1], [10, 2], [12, 3]], 7/24883200], [[[1, 2], [2, 1], [4, 1], [10, 2], [28, 1]], 1/67200], [[[1, 2], [2, 1], [4, 1], [10, 2], [36, 1]], 1/86400], [[[1, 2], [2, 1], [4, 1], [10, 3], [12, 2]], 1/13824000], [[[1, 2], [2, 1], [4, 1], [10, 3], [15, 1]], 1/1440000], [[[1, 2], [2, 1], [4, 1], [10, 3], [20, 1]], 1/960000], [[[1, 2], [2, 1], [4, 1], [10, 3], [24, 1]], 1/1152000], [[[1, 2], [2, 1], [4, 1], [10, 3], [30, 1]], 1/1440000], [[[1, 2], [2, 1], [4, 1], [10, 4], [12, 1]], 1/34560000], [[[1, 2], [2, 1], [4, 1], [12, 1], [15, 2]], 1/86400], [[[1, 2], [2, 1], [4, 1], [12, 1], [16, 2]], 1/18432], [[[1, 2], [2, 1], [4, 1], [12, 1], [20, 2]], 29/115200], [[[1, 2], [2, 1], [4, 1], [12, 1], [24, 2]], 5/18432], [[[1, 2], [2, 1], [4, 1], [12, 1], [30, 2]], 1/86400], [[[1, 2], [2, 1], [4, 1], [12, 1], [40, 1]], 1/1920], [[[1, 2], [2, 1], [4, 1], [12, 1], [48, 1]], 1/2304], [[[1, 2], [2, 1], [4, 1], [12, 1], [60, 1]], 1/2880], [[[1, 2], [2, 1], [4, 1], [12, 2], [28, 1]], 1/32256], [[[1, 2], [2, 1], [4, 1], [12, 2], [36, 1]], 1/4608], [[[1, 2], [2, 1], [4, 1], [12, 3], [15, 1]], 7/1244160], [[[1, 2], [2, 1], [4, 1], [12, 3], [16, 1]], 1/55296], [[[1, 2], [2, 1], [4, 1], [12, 3], [20, 1]], 19/829440], [[[1, 2], [2, 1], [4, 1], [12, 3], [24, 1]], 61/995328], [[[1, 2], [2, 1], [4, 1], [12, 3], [30, 1]], 7/1244160], [[[1, 2], [2, 1], [4, 1], [15, 1], [28, 1]], 1/3360], [[[1, 2], [2, 1], [4, 1], [15, 1], [36, 1]], 1/4320], [[[1, 2], [2, 1], [4, 1], [20, 1], [28, 1]], 1/2240], [[[1, 2], [2, 1], [4, 1], [20, 1], [36, 1]], 1/2880], [[[1, 2], [2, 1], [4, 1], [24, 1], [28, 1]], 1/2688], [[[1, 2], [2, 1], [4, 1], [24, 1], [36, 1]], 1/3456], [[[1, 2], [2, 1], [4, 1], [28, 1], [30, 1]], 1/3360], [[[1, 2], [2, 1], [4, 1], [30, 1], [36, 1]], 1/4320], [[[1, 2], [2, 1], [4, 2], [6, 1], [12, 4]], 7/5971968], [[[1, 2], [2, 1], [4, 2], [6, 3], [12, 3]], 169/322486272], [[[1, 2], [2, 1], [4, 2], [6, 3], [28, 1]], 1/290304], [[[1, 2], [2, 1], [4, 2], [6, 3], [36, 1]], 1/1119744], [[[1, 2], [2, 1], [4, 2], [6, 5], [12, 2]], 11/1074954240], [[[1, 2], [2, 1], [4, 2], [6, 7], [12, 1]], 1/58047528960], [[[1, 2], [2, 1], [4, 2], [7, 1], [12, 3]], 1/248832], [[[1, 2], [2, 1], [4, 2], [7, 1], [28, 1]], 1/1568], [[[1, 2], [2, 1], [4, 2], [7, 1], [36, 1]], 1/6048], [[[1, 2], [2, 1], [4, 2], [9, 1], [12, 3]], 7/3359232], [[[1, 2], [2, 1], [4, 2], [9, 1], [28, 1]], 1/3024], [[[1, 2], [2, 1], [4, 2], [9, 1], [36, 1]], 1/11664], [[[1, 2], [2, 1], [4, 2], [12, 3], [14, 1]], 1/497664], [[[1, 2], [2, 1], [4, 2], [12, 3], [18, 1]], 7/4478976], [[[1, 2], [2, 1], [4, 2], [14, 1], [28, 1]], 1/3136], [[[1, 2], [2, 1], [4, 2], [14, 1], [36, 1]], 1/12096], [[[1, 2], [2, 1], [4, 2], [18, 1], [28, 1]], 1/4032], [[[1, 2], [2, 1], [4, 2], [18, 1], [36, 1]], 1/15552], [[[1, 2], [2, 1], [4, 3], [5, 1], [12, 3]], 7/4976640], [[[1, 2], [2, 1], [4, 3], [5, 1], [28, 1]], 1/4480], [[[1, 2], [2, 1], [4, 3], [5, 1], [36, 1]], 1/17280], [[[1, 2], [2, 1], [4, 3], [5, 2], [6, 4]], 1/143327232000], [[[1, 2], [2, 1], [4, 3], [5, 2], [8, 2]], 49/176947200], [[[1, 2], [2, 1], [4, 3], [5, 2], [10, 2]], 301/552960000], [[[1, 2], [2, 1], [4, 3], [5, 2], [12, 2]], 77/53084160], [[[1, 2], [2, 1], [4, 3], [5, 2], [15, 1]], 1/27648000], [[[1, 2], [2, 1], [4, 3], [5, 2], [16, 1]], 1/921600], [[[1, 2], [2, 1], [4, 3], [5, 2], [20, 1]], 13/3686400], [[[1, 2], [2, 1], [4, 3], [5, 2], [24, 1]], 1/22118400], [[[1, 2], [2, 1], [4, 3], [5, 2], [30, 1]], 1/27648000], [[[1, 2], [2, 1], [4, 3], [5, 3], [12, 1]], 1/3456000], [[[1, 2], [2, 1], [4, 3], [6, 2], [12, 3]], 385/127401984], [[[1, 2], [2, 1], [4, 3], [6, 2], [18, 2]], 1/8957952], [[[1, 2], [2, 1], [4, 3], [6, 4], [8, 2]], 49/45864714240], [[[1, 2], [2, 1], [4, 3], [6, 4], [10, 2]], 1/143327232000], [[[1, 2], [2, 1], [4, 3], [6, 4], [12, 2]], 131/13759414272], [[[1, 2], [2, 1], [4, 3], [6, 4], [15, 1]], 1/7166361600], [[[1, 2], [2, 1], [4, 3], [6, 4], [16, 1]], 1/238878720], [[[1, 2], [2, 1], [4, 3], [6, 4], [20, 1]], 13/955514880], [[[1, 2], [2, 1], [4, 3], [6, 4], [24, 1]], 1/5733089280], [[[1, 2], [2, 1], [4, 3], [6, 4], [30, 1]], 1/7166361600], [[[1, 2], [2, 1], [4, 3], [6, 5], [18, 1]], 1/12899450880], [[[1, 2], [2, 1], [4, 3], [6, 6], [12, 1]], 1/68797071360], [[[1, 2], [2, 1], [4, 3], [8, 1], [12, 3]], 149/15925248], [[[1, 2], [2, 1], [4, 3], [8, 1], [28, 1]], 11/14336], [[[1, 2], [2, 1], [4, 3], [8, 1], [36, 1]], 11/55296], [[[1, 2], [2, 1], [4, 3], [8, 2], [10, 2]], 49/176947200], [[[1, 2], [2, 1], [4, 3], [8, 2], [12, 2]], 1969/84934656], [[[1, 2], [2, 1], [4, 3], [8, 2], [15, 1]], 49/8847360], [[[1, 2], [2, 1], [4, 3], [8, 2], [16, 1]], 101/589824], [[[1, 2], [2, 1], [4, 3], [8, 2], [20, 1]], 113/5898240], [[[1, 2], [2, 1], [4, 3], [8, 2], [24, 1]], 3/262144], [[[1, 2], [2, 1], [4, 3], [8, 2], [30, 1]], 49/8847360], [[[1, 2], [2, 1], [4, 3], [8, 3], [12, 1]], 61/1179648], [[[1, 2], [2, 1], [4, 3], [10, 1], [12, 3]], 7/4976640], [[[1, 2], [2, 1], [4, 3], [10, 1], [28, 1]], 1/4480], [[[1, 2], [2, 1], [4, 3], [10, 1], [36, 1]], 1/17280], [[[1, 2], [2, 1], [4, 3], [10, 2], [12, 2]], 77/53084160], [[[1, 2], [2, 1], [4, 3], [10, 2], [15, 1]], 1/27648000], [[[1, 2], [2, 1], [4, 3], [10, 2], [16, 1]], 1/921600], [[[1, 2], [2, 1], [4, 3], [10, 2], [20, 1]], 13/3686400], [[[1, 2], [2, 1], [4, 3], [10, 2], [24, 1]], 1/22118400], [[[1, 2], [2, 1], [4, 3], [10, 2], [30, 1]], 1/27648000], [[[1, 2], [2, 1], [4, 3], [10, 3], [12, 1]], 1/3456000], [[[1, 2], [2, 1], [4, 3], [12, 1], [28, 1]], 1/2016], [[[1, 2], [2, 1], [4, 3], [12, 1], [36, 1]], 11/55296], [[[1, 2], [2, 1], [4, 3], [12, 2], [15, 1]], 77/2654208], [[[1, 2], [2, 1], [4, 3], [12, 2], [16, 1]], 11/147456], [[[1, 2], [2, 1], [4, 3], [12, 2], [20, 1]], 2497/8847360], [[[1, 2], [2, 1], [4, 3], [12, 2], [24, 1]], 1933/10616832], [[[1, 2], [2, 1], [4, 3], [12, 2], [30, 1]], 77/2654208], [[[1, 2], [2, 1], [4, 3], [15, 1], [16, 1]], 1/46080], [[[1, 2], [2, 1], [4, 3], [15, 1], [20, 1]], 13/184320], [[[1, 2], [2, 1], [4, 3], [15, 1], [24, 1]], 1/1105920], [[[1, 2], [2, 1], [4, 3], [15, 1], [30, 1]], 1/86400], [[[1, 2], [2, 1], [4, 3], [16, 1], [20, 1]], 1/30720], [[[1, 2], [2, 1], [4, 3], [16, 1], [24, 1]], 1/36864], [[[1, 2], [2, 1], [4, 3], [16, 1], [30, 1]], 1/46080], [[[1, 2], [2, 1], [4, 3], [20, 1], [24, 1]], 13/147456], [[[1, 2], [2, 1], [4, 3], [20, 1], [30, 1]], 13/184320], [[[1, 2], [2, 1], [4, 3], [24, 1], [30, 1]], 1/1105920], [[[1, 2], [2, 1], [4, 4], [5, 2], [6, 3]], 1/143327232000], [[[1, 2], [2, 1], [4, 4], [5, 2], [7, 1]], 1/774144000], [[[1, 2], [2, 1], [4, 4], [5, 2], [9, 1]], 1/1492992000], [[[1, 2], [2, 1], [4, 4], [5, 2], [14, 1]], 1/1548288000], [[[1, 2], [2, 1], [4, 4], [5, 2], [18, 1]], 1/1990656000], [[[1, 2], [2, 1], [4, 4], [6, 1], [8, 3]], 241/849346560], [[[1, 2], [2, 1], [4, 4], [6, 1], [10, 3]], 1/3317760000], [[[1, 2], [2, 1], [4, 4], [6, 1], [12, 3]], 3841/1274019840], [[[1, 2], [2, 1], [4, 4], [6, 1], [18, 2]], 1/179159040], [[[1, 2], [2, 1], [4, 4], [6, 3], [8, 2]], 241/45864714240], [[[1, 2], [2, 1], [4, 4], [6, 3], [10, 2]], 1/143327232000], [[[1, 2], [2, 1], [4, 4], [6, 3], [12, 2]], 779/13759414272], [[[1, 2], [2, 1], [4, 4], [6, 3], [15, 1]], 1/7166361600], [[[1, 2], [2, 1], [4, 4], [6, 3], [20, 1]], 77/955514880], [[[1, 2], [2, 1], [4, 4], [6, 3], [24, 1]], 1/5733089280], [[[1, 2], [2, 1], [4, 4], [6, 3], [30, 1]], 1/7166361600], [[[1, 2], [2, 1], [4, 4], [6, 4], [7, 1]], 1/200658124800], [[[1, 2], [2, 1], [4, 4], [6, 4], [9, 1]], 1/386983526400], [[[1, 2], [2, 1], [4, 4], [6, 4], [14, 1]], 1/401316249600], [[[1, 2], [2, 1], [4, 4], [6, 4], [18, 1]], 41/515978035200], [[[1, 2], [2, 1], [4, 4], [6, 5], [8, 1]], 1/687970713600], [[[1, 2], [2, 1], [4, 4], [6, 5], [10, 1]], 1/859963392000], [[[1, 2], [2, 1], [4, 4], [6, 5], [12, 1]], 11/687970713600], [[[1, 2], [2, 1], [4, 4], [7, 1], [8, 2]], 241/247726080], [[[1, 2], [2, 1], [4, 4], [7, 1], [10, 2]], 1/774144000], [[[1, 2], [2, 1], [4, 4], [7, 1], [12, 2]], 3841/371589120], [[[1, 2], [2, 1], [4, 4], [7, 1], [15, 1]], 1/38707200], [[[1, 2], [2, 1], [4, 4], [7, 1], [20, 1]], 11/737280], [[[1, 2], [2, 1], [4, 4], [7, 1], [24, 1]], 1/30965760], [[[1, 2], [2, 1], [4, 4], [7, 1], [30, 1]], 1/38707200], [[[1, 2], [2, 1], [4, 4], [8, 2], [9, 1]], 241/477757440], [[[1, 2], [2, 1], [4, 4], [8, 2], [14, 1]], 241/495452160], [[[1, 2], [2, 1], [4, 4], [8, 2], [18, 1]], 241/637009920], [[[1, 2], [2, 1], [4, 4], [9, 1], [10, 2]], 1/1492992000], [[[1, 2], [2, 1], [4, 4], [9, 1], [12, 2]], 3841/716636160], [[[1, 2], [2, 1], [4, 4], [9, 1], [15, 1]], 1/74649600], [[[1, 2], [2, 1], [4, 4], [9, 1], [20, 1]], 77/9953280], [[[1, 2], [2, 1], [4, 4], [9, 1], [24, 1]], 1/59719680], [[[1, 2], [2, 1], [4, 4], [9, 1], [30, 1]], 1/74649600], [[[1, 2], [2, 1], [4, 4], [10, 2], [14, 1]], 1/1548288000], [[[1, 2], [2, 1], [4, 4], [10, 2], [18, 1]], 1/1990656000], [[[1, 2], [2, 1], [4, 4], [12, 2], [14, 1]], 3841/743178240], [[[1, 2], [2, 1], [4, 4], [12, 2], [18, 1]], 3841/955514880], [[[1, 2], [2, 1], [4, 4], [14, 1], [15, 1]], 1/77414400], [[[1, 2], [2, 1], [4, 4], [14, 1], [20, 1]], 11/1474560], [[[1, 2], [2, 1], [4, 4], [14, 1], [24, 1]], 1/61931520], [[[1, 2], [2, 1], [4, 4], [14, 1], [30, 1]], 1/77414400], [[[1, 2], [2, 1], [4, 4], [15, 1], [18, 1]], 1/99532800], [[[1, 2], [2, 1], [4, 4], [18, 1], [20, 1]], 77/13271040], [[[1, 2], [2, 1], [4, 4], [18, 1], [24, 1]], 1/79626240], [[[1, 2], [2, 1], [4, 4], [18, 1], [30, 1]], 1/99532800], [[[1, 2], [2, 1], [4, 5], [5, 1], [6, 4]], 1/573308928000], [[[1, 2], [2, 1], [4, 5], [5, 1], [8, 2]], 241/707788800], [[[1, 2], [2, 1], [4, 5], [5, 1], [10, 2]], 1/2211840000], [[[1, 2], [2, 1], [4, 5], [5, 1], [12, 2]], 3841/1061683200], [[[1, 2], [2, 1], [4, 5], [5, 1], [15, 1]], 1/110592000], [[[1, 2], [2, 1], [4, 5], [5, 1], [20, 1]], 77/14745600], [[[1, 2], [2, 1], [4, 5], [5, 1], [24, 1]], 1/88473600], [[[1, 2], [2, 1], [4, 5], [5, 1], [30, 1]], 1/110592000], [[[1, 2], [2, 1], [4, 5], [5, 2], [8, 1]], 203/7077888000], [[[1, 2], [2, 1], [4, 5], [5, 2], [10, 1]], 1/2211840000], [[[1, 2], [2, 1], [4, 5], [5, 2], [12, 1]], 17/265420800], [[[1, 2], [2, 1], [4, 5], [6, 2], [12, 2]], 17/127401984], [[[1, 2], [2, 1], [4, 5], [6, 4], [8, 1]], 203/1834588569600], [[[1, 2], [2, 1], [4, 5], [6, 4], [10, 1]], 1/573308928000], [[[1, 2], [2, 1], [4, 5], [6, 4], [12, 1]], 17/68797071360], [[[1, 2], [2, 1], [4, 5], [7, 1], [14, 1]], 1/5160960], [[[1, 2], [2, 1], [4, 5], [8, 1], [10, 2]], 203/7077888000], [[[1, 2], [2, 1], [4, 5], [8, 1], [12, 2]], 103883/3397386240], [[[1, 2], [2, 1], [4, 5], [8, 1], [15, 1]], 203/353894400], [[[1, 2], [2, 1], [4, 5], [8, 1], [16, 1]], 7/2359296], [[[1, 2], [2, 1], [4, 5], [8, 1], [20, 1]], 4459/235929600], [[[1, 2], [2, 1], [4, 5], [8, 1], [24, 1]], 89/94371840], [[[1, 2], [2, 1], [4, 5], [8, 1], [30, 1]], 203/353894400], [[[1, 2], [2, 1], [4, 5], [8, 2], [10, 1]], 241/707788800], [[[1, 2], [2, 1], [4, 5], [8, 2], [12, 1]], 305/84934656], [[[1, 2], [2, 1], [4, 5], [9, 1], [18, 1]], 1/6635520], [[[1, 2], [2, 1], [4, 5], [10, 1], [12, 2]], 3841/1061683200], [[[1, 2], [2, 1], [4, 5], [10, 1], [15, 1]], 1/110592000], [[[1, 2], [2, 1], [4, 5], [10, 1], [20, 1]], 77/14745600], [[[1, 2], [2, 1], [4, 5], [10, 1], [24, 1]], 1/88473600], [[[1, 2], [2, 1], [4, 5], [10, 1], [30, 1]], 1/110592000], [[[1, 2], [2, 1], [4, 5], [10, 2], [12, 1]], 17/265420800], [[[1, 2], [2, 1], [4, 5], [12, 1], [15, 1]], 17/13271040], [[[1, 2], [2, 1], [4, 5], [12, 1], [16, 1]], 3/327680], [[[1, 2], [2, 1], [4, 5], [12, 1], [20, 1]], 1993/44236800], [[[1, 2], [2, 1], [4, 5], [12, 1], [24, 1]], 211/53084160], [[[1, 2], [2, 1], [4, 5], [12, 1], [30, 1]], 17/13271040], [[[1, 2], [2, 1], [4, 6], [6, 1], [12, 2]], 19/955514880], [[[1, 2], [2, 1], [4, 6], [6, 3], [12, 1]], 19/51597803520], [[[1, 2], [2, 1], [4, 6], [7, 1], [12, 1]], 19/278691840], [[[1, 2], [2, 1], [4, 6], [9, 1], [12, 1]], 19/537477120], [[[1, 2], [2, 1], [4, 6], [12, 1], [14, 1]], 19/557383680], [[[1, 2], [2, 1], [4, 6], [12, 1], [18, 1]], 19/716636160], [[[1, 2], [2, 1], [4, 7], [5, 1], [12, 1]], 19/796262400], [[[1, 2], [2, 1], [4, 7], [6, 1], [18, 1]], 17/16052649984], [[[1, 2], [2, 1], [4, 7], [6, 2], [12, 1]], 17/85614133248], [[[1, 2], [2, 1], [4, 7], [8, 1], [12, 1]], 857/2548039680], [[[1, 2], [2, 1], [4, 7], [10, 1], [12, 1]], 19/796262400], [[[1, 2], [2, 1], [4, 8], [6, 1], [8, 1]], 17/1712282664960], [[[1, 2], [2, 1], [4, 8], [6, 1], [10, 1]], 17/2140353331200], [[[1, 2], [2, 1], [4, 8], [6, 1], [12, 1]], 17/1712282664960], [[[1, 2], [2, 1], [5, 2], [6, 1], [8, 3]], 1/11059200], [[[1, 2], [2, 1], [5, 2], [6, 1], [10, 3]], 301/43200000], [[[1, 2], [2, 1], [5, 2], [6, 1], [12, 3]], 1/16588800], [[[1, 2], [2, 1], [5, 2], [6, 1], [18, 2]], 1/2332800], [[[1, 2], [2, 1], [5, 2], [6, 3], [8, 2]], 1/597196800], [[[1, 2], [2, 1], [5, 2], [6, 3], [10, 2]], 301/1866240000], [[[1, 2], [2, 1], [5, 2], [6, 3], [12, 2]], 11/179159040], [[[1, 2], [2, 1], [5, 2], [6, 3], [15, 1]], 1/93312000], [[[1, 2], [2, 1], [5, 2], [6, 3], [20, 1]], 1/62208000], [[[1, 2], [2, 1], [5, 2], [6, 3], [24, 1]], 1/74649600], [[[1, 2], [2, 1], [5, 2], [6, 3], [30, 1]], 1/93312000], [[[1, 2], [2, 1], [5, 2], [6, 4], [7, 1]], 1/2612736000], [[[1, 2], [2, 1], [5, 2], [6, 4], [9, 1]], 1/5038848000], [[[1, 2], [2, 1], [5, 2], [6, 4], [14, 1]], 1/5225472000], [[[1, 2], [2, 1], [5, 2], [6, 4], [18, 1]], 41/6718464000], [[[1, 2], [2, 1], [5, 2], [6, 5], [8, 1]], 1/8957952000], [[[1, 2], [2, 1], [5, 2], [6, 5], [10, 1]], 1/11197440000], [[[1, 2], [2, 1], [5, 2], [6, 5], [12, 1]], 11/8957952000], [[[1, 2], [2, 1], [5, 2], [7, 1], [8, 2]], 1/3225600], [[[1, 2], [2, 1], [5, 2], [7, 1], [10, 2]], 43/1440000], [[[1, 2], [2, 1], [5, 2], [7, 1], [12, 2]], 1/4838400], [[[1, 2], [2, 1], [5, 2], [7, 1], [15, 1]], 1/504000], [[[1, 2], [2, 1], [5, 2], [7, 1], [20, 1]], 1/336000], [[[1, 2], [2, 1], [5, 2], [7, 1], [24, 1]], 1/403200], [[[1, 2], [2, 1], [5, 2], [7, 1], [30, 1]], 1/504000], [[[1, 2], [2, 1], [5, 2], [8, 2], [9, 1]], 1/6220800], [[[1, 2], [2, 1], [5, 2], [8, 2], [14, 1]], 1/6451200], [[[1, 2], [2, 1], [5, 2], [8, 2], [18, 1]], 1/8294400], [[[1, 2], [2, 1], [5, 2], [9, 1], [10, 2]], 301/19440000], [[[1, 2], [2, 1], [5, 2], [9, 1], [12, 2]], 1/9331200], [[[1, 2], [2, 1], [5, 2], [9, 1], [15, 1]], 1/972000], [[[1, 2], [2, 1], [5, 2], [9, 1], [20, 1]], 1/648000], [[[1, 2], [2, 1], [5, 2], [9, 1], [24, 1]], 1/777600], [[[1, 2], [2, 1], [5, 2], [9, 1], [30, 1]], 1/972000], [[[1, 2], [2, 1], [5, 2], [10, 2], [14, 1]], 43/2880000], [[[1, 2], [2, 1], [5, 2], [10, 2], [18, 1]], 301/25920000], [[[1, 2], [2, 1], [5, 2], [12, 2], [14, 1]], 1/9676800], [[[1, 2], [2, 1], [5, 2], [12, 2], [18, 1]], 1/12441600], [[[1, 2], [2, 1], [5, 2], [14, 1], [15, 1]], 1/1008000], [[[1, 2], [2, 1], [5, 2], [14, 1], [20, 1]], 1/672000], [[[1, 2], [2, 1], [5, 2], [14, 1], [24, 1]], 1/806400], [[[1, 2], [2, 1], [5, 2], [14, 1], [30, 1]], 1/1008000], [[[1, 2], [2, 1], [5, 2], [15, 1], [18, 1]], 1/1296000], [[[1, 2], [2, 1], [5, 2], [18, 1], [20, 1]], 1/864000], [[[1, 2], [2, 1], [5, 2], [18, 1], [24, 1]], 1/1036800], [[[1, 2], [2, 1], [5, 2], [18, 1], [30, 1]], 1/1296000], [[[1, 2], [2, 1], [5, 4], [6, 1], [8, 1]], 1/69120000], [[[1, 2], [2, 1], [5, 4], [6, 1], [10, 1]], 1/86400000], [[[1, 2], [2, 1], [5, 4], [6, 1], [12, 1]], 1/69120000], [[[1, 2], [2, 1], [6, 1], [8, 1], [10, 4]], 1/69120000], [[[1, 2], [2, 1], [6, 1], [8, 1], [12, 4]], 23/238878720], [[[1, 2], [2, 1], [6, 1], [8, 1], [15, 2]], 1/172800], [[[1, 2], [2, 1], [6, 1], [8, 1], [16, 2]], 1/36864], [[[1, 2], [2, 1], [6, 1], [8, 1], [20, 2]], 1/46080], [[[1, 2], [2, 1], [6, 1], [8, 1], [24, 2]], 1/36864], [[[1, 2], [2, 1], [6, 1], [8, 1], [30, 2]], 1/172800], [[[1, 2], [2, 1], [6, 1], [8, 1], [40, 1]], 1/3840], [[[1, 2], [2, 1], [6, 1], [8, 1], [48, 1]], 1/4608], [[[1, 2], [2, 1], [6, 1], [8, 1], [60, 1]], 1/5760], [[[1, 2], [2, 1], [6, 1], [8, 2], [10, 3]], 1/13824000], [[[1, 2], [2, 1], [6, 1], [8, 2], [12, 3]], 1/5308416], [[[1, 2], [2, 1], [6, 1], [8, 2], [18, 2]], 1/746496], [[[1, 2], [2, 1], [6, 1], [8, 3], [10, 2]], 1/11059200], [[[1, 2], [2, 1], [6, 1], [8, 3], [12, 2]], 1/5308416], [[[1, 2], [2, 1], [6, 1], [8, 3], [15, 1]], 1/552960], [[[1, 2], [2, 1], [6, 1], [8, 3], [20, 1]], 1/368640], [[[1, 2], [2, 1], [6, 1], [8, 3], [24, 1]], 11/147456], [[[1, 2], [2, 1], [6, 1], [8, 3], [30, 1]], 1/552960], [[[1, 2], [2, 1], [6, 1], [8, 4], [10, 1]], 1/4915200], [[[1, 2], [2, 1], [6, 1], [8, 4], [12, 1]], 1/3932160], [[[1, 2], [2, 1], [6, 1], [10, 1], [12, 4]], 23/298598400], [[[1, 2], [2, 1], [6, 1], [10, 1], [15, 2]], 1/216000], [[[1, 2], [2, 1], [6, 1], [10, 1], [16, 2]], 1/46080], [[[1, 2], [2, 1], [6, 1], [10, 1], [20, 2]], 1/57600], [[[1, 2], [2, 1], [6, 1], [10, 1], [24, 2]], 1/46080], [[[1, 2], [2, 1], [6, 1], [10, 1], [30, 2]], 1/216000], [[[1, 2], [2, 1], [6, 1], [10, 1], [40, 1]], 1/4800], [[[1, 2], [2, 1], [6, 1], [10, 1], [48, 1]], 1/5760], [[[1, 2], [2, 1], [6, 1], [10, 1], [60, 1]], 1/7200], [[[1, 2], [2, 1], [6, 1], [10, 2], [12, 3]], 1/16588800], [[[1, 2], [2, 1], [6, 1], [10, 2], [18, 2]], 1/2332800], [[[1, 2], [2, 1], [6, 1], [10, 3], [12, 2]], 1/20736000], [[[1, 2], [2, 1], [6, 1], [10, 3], [15, 1]], 1/2160000], [[[1, 2], [2, 1], [6, 1], [10, 3], [20, 1]], 1/1440000], [[[1, 2], [2, 1], [6, 1], [10, 3], [24, 1]], 1/1728000], [[[1, 2], [2, 1], [6, 1], [10, 3], [30, 1]], 1/2160000], [[[1, 2], [2, 1], [6, 1], [10, 4], [12, 1]], 1/69120000], [[[1, 2], [2, 1], [6, 1], [12, 1], [15, 2]], 1/172800], [[[1, 2], [2, 1], [6, 1], [12, 1], [16, 2]], 1/36864], [[[1, 2], [2, 1], [6, 1], [12, 1], [20, 2]], 1/46080], [[[1, 2], [2, 1], [6, 1], [12, 1], [24, 2]], 1/36864], [[[1, 2], [2, 1], [6, 1], [12, 1], [30, 2]], 1/172800], [[[1, 2], [2, 1], [6, 1], [12, 1], [40, 1]], 1/3840], [[[1, 2], [2, 1], [6, 1], [12, 1], [48, 1]], 1/4608], [[[1, 2], [2, 1], [6, 1], [12, 1], [60, 1]], 1/5760], [[[1, 2], [2, 1], [6, 1], [12, 2], [18, 2]], 1/1119744], [[[1, 2], [2, 1], [6, 1], [12, 2], [36, 1]], 1/10368], [[[1, 2], [2, 1], [6, 1], [12, 3], [15, 1]], 1/829440], [[[1, 2], [2, 1], [6, 1], [12, 3], [20, 1]], 1/552960], [[[1, 2], [2, 1], [6, 1], [12, 3], [24, 1]], 13/663552], [[[1, 2], [2, 1], [6, 1], [12, 3], [30, 1]], 1/829440], [[[1, 2], [2, 1], [6, 1], [15, 1], [18, 2]], 1/116640], [[[1, 2], [2, 1], [6, 1], [18, 2], [20, 1]], 1/77760], [[[1, 2], [2, 1], [6, 1], [18, 2], [24, 1]], 1/93312], [[[1, 2], [2, 1], [6, 1], [18, 2], [30, 1]], 1/116640], [[[1, 2], [2, 1], [6, 2], [7, 1], [12, 3]], 1/2322432], [[[1, 2], [2, 1], [6, 2], [7, 1], [18, 2]], 1/163296], [[[1, 2], [2, 1], [6, 2], [8, 3], [18, 1]], 1/995328], [[[1, 2], [2, 1], [6, 2], [9, 1], [12, 3]], 1/4478976], [[[1, 2], [2, 1], [6, 2], [9, 1], [18, 2]], 1/314928], [[[1, 2], [2, 1], [6, 2], [10, 3], [18, 1]], 1/3888000], [[[1, 2], [2, 1], [6, 2], [12, 3], [14, 1]], 1/4644864], [[[1, 2], [2, 1], [6, 2], [12, 3], [18, 1]], 5/5971968], [[[1, 2], [2, 1], [6, 2], [14, 1], [18, 2]], 1/326592], [[[1, 2], [2, 1], [6, 3], [8, 1], [12, 3]], 1/7962624], [[[1, 2], [2, 1], [6, 3], [8, 1], [18, 2]], 1/559872], [[[1, 2], [2, 1], [6, 3], [8, 2], [10, 2]], 1/597196800], [[[1, 2], [2, 1], [6, 3], [8, 2], [12, 2]], 55/286654464], [[[1, 2], [2, 1], [6, 3], [8, 2], [15, 1]], 1/29859840], [[[1, 2], [2, 1], [6, 3], [8, 2], [20, 1]], 1/19906560], [[[1, 2], [2, 1], [6, 3], [8, 2], [24, 1]], 11/7962624], [[[1, 2], [2, 1], [6, 3], [8, 2], [30, 1]], 1/29859840], [[[1, 2], [2, 1], [6, 3], [8, 3], [12, 1]], 1/5308416], [[[1, 2], [2, 1], [6, 3], [10, 1], [12, 3]], 1/9953280], [[[1, 2], [2, 1], [6, 3], [10, 1], [18, 2]], 1/699840], [[[1, 2], [2, 1], [6, 3], [10, 2], [12, 2]], 11/179159040], [[[1, 2], [2, 1], [6, 3], [10, 2], [15, 1]], 1/93312000], [[[1, 2], [2, 1], [6, 3], [10, 2], [20, 1]], 1/62208000], [[[1, 2], [2, 1], [6, 3], [10, 2], [24, 1]], 1/74649600], [[[1, 2], [2, 1], [6, 3], [10, 2], [30, 1]], 1/93312000], [[[1, 2], [2, 1], [6, 3], [10, 3], [12, 1]], 1/20736000], [[[1, 2], [2, 1], [6, 3], [12, 1], [18, 2]], 1/373248], [[[1, 2], [2, 1], [6, 3], [12, 1], [36, 1]], 1/559872], [[[1, 2], [2, 1], [6, 3], [12, 2], [15, 1]], 11/8957952], [[[1, 2], [2, 1], [6, 3], [12, 2], [20, 1]], 11/5971968], [[[1, 2], [2, 1], [6, 3], [12, 2], [24, 1]], 67/35831808], [[[1, 2], [2, 1], [6, 3], [12, 2], [30, 1]], 11/8957952], [[[1, 2], [2, 1], [6, 3], [15, 1], [20, 1]], 1/3110400], [[[1, 2], [2, 1], [6, 3], [15, 1], [24, 1]], 1/3732480], [[[1, 2], [2, 1], [6, 3], [15, 1], [30, 1]], 1/291600], [[[1, 2], [2, 1], [6, 3], [20, 1], [24, 1]], 1/2488320], [[[1, 2], [2, 1], [6, 3], [20, 1], [30, 1]], 1/3110400], [[[1, 2], [2, 1], [6, 3], [24, 1], [30, 1]], 1/3732480], [[[1, 2], [2, 1], [6, 4], [7, 1], [8, 2]], 1/836075520], [[[1, 2], [2, 1], [6, 4], [7, 1], [10, 2]], 1/2612736000], [[[1, 2], [2, 1], [6, 4], [7, 1], [12, 2]], 271/1254113280], [[[1, 2], [2, 1], [6, 4], [7, 1], [15, 1]], 1/130636800], [[[1, 2], [2, 1], [6, 4], [7, 1], [20, 1]], 1/87091200], [[[1, 2], [2, 1], [6, 4], [7, 1], [24, 1]], 1/104509440], [[[1, 2], [2, 1], [6, 4], [7, 1], [30, 1]], 1/130636800], [[[1, 2], [2, 1], [6, 4], [8, 2], [9, 1]], 1/1612431360], [[[1, 2], [2, 1], [6, 4], [8, 2], [14, 1]], 1/1672151040], [[[1, 2], [2, 1], [6, 4], [8, 2], [18, 1]], 41/2149908480], [[[1, 2], [2, 1], [6, 4], [9, 1], [10, 2]], 1/5038848000], [[[1, 2], [2, 1], [6, 4], [9, 1], [12, 2]], 271/2418647040], [[[1, 2], [2, 1], [6, 4], [9, 1], [15, 1]], 1/251942400], [[[1, 2], [2, 1], [6, 4], [9, 1], [20, 1]], 1/167961600], [[[1, 2], [2, 1], [6, 4], [9, 1], [24, 1]], 1/201553920], [[[1, 2], [2, 1], [6, 4], [9, 1], [30, 1]], 1/251942400], [[[1, 2], [2, 1], [6, 4], [10, 2], [14, 1]], 1/5225472000], [[[1, 2], [2, 1], [6, 4], [10, 2], [18, 1]], 41/6718464000], [[[1, 2], [2, 1], [6, 4], [12, 2], [14, 1]], 271/2508226560], [[[1, 2], [2, 1], [6, 4], [12, 2], [18, 1]], 2471/3224862720], [[[1, 2], [2, 1], [6, 4], [14, 1], [15, 1]], 1/261273600], [[[1, 2], [2, 1], [6, 4], [14, 1], [20, 1]], 1/174182400], [[[1, 2], [2, 1], [6, 4], [14, 1], [24, 1]], 1/209018880], [[[1, 2], [2, 1], [6, 4], [14, 1], [30, 1]], 1/261273600], [[[1, 2], [2, 1], [6, 4], [15, 1], [18, 1]], 41/335923200], [[[1, 2], [2, 1], [6, 4], [18, 1], [20, 1]], 41/223948800], [[[1, 2], [2, 1], [6, 4], [18, 1], [24, 1]], 41/268738560], [[[1, 2], [2, 1], [6, 4], [18, 1], [30, 1]], 41/335923200], [[[1, 2], [2, 1], [6, 5], [7, 1], [18, 1]], 1/235146240], [[[1, 2], [2, 1], [6, 5], [8, 1], [10, 2]], 1/8957952000], [[[1, 2], [2, 1], [6, 5], [8, 1], [12, 2]], 271/4299816960], [[[1, 2], [2, 1], [6, 5], [8, 1], [15, 1]], 1/447897600], [[[1, 2], [2, 1], [6, 5], [8, 1], [20, 1]], 1/298598400], [[[1, 2], [2, 1], [6, 5], [8, 1], [24, 1]], 1/358318080], [[[1, 2], [2, 1], [6, 5], [8, 1], [30, 1]], 1/447897600], [[[1, 2], [2, 1], [6, 5], [8, 2], [10, 1]], 1/3583180800], [[[1, 2], [2, 1], [6, 5], [8, 2], [12, 1]], 11/2866544640], [[[1, 2], [2, 1], [6, 5], [9, 1], [18, 1]], 1/453496320], [[[1, 2], [2, 1], [6, 5], [10, 1], [12, 2]], 271/5374771200], [[[1, 2], [2, 1], [6, 5], [10, 1], [15, 1]], 1/559872000], [[[1, 2], [2, 1], [6, 5], [10, 1], [20, 1]], 1/373248000], [[[1, 2], [2, 1], [6, 5], [10, 1], [24, 1]], 1/447897600], [[[1, 2], [2, 1], [6, 5], [10, 1], [30, 1]], 1/559872000], [[[1, 2], [2, 1], [6, 5], [10, 2], [12, 1]], 11/8957952000], [[[1, 2], [2, 1], [6, 5], [12, 1], [15, 1]], 11/447897600], [[[1, 2], [2, 1], [6, 5], [12, 1], [20, 1]], 11/298598400], [[[1, 2], [2, 1], [6, 5], [12, 1], [24, 1]], 11/358318080], [[[1, 2], [2, 1], [6, 5], [12, 1], [30, 1]], 11/447897600], [[[1, 2], [2, 1], [6, 5], [14, 1], [18, 1]], 1/470292480], [[[1, 2], [2, 1], [6, 6], [7, 1], [12, 1]], 1/1254113280], [[[1, 2], [2, 1], [6, 6], [8, 1], [18, 1]], 1/806215680], [[[1, 2], [2, 1], [6, 6], [9, 1], [12, 1]], 1/2418647040], [[[1, 2], [2, 1], [6, 6], [10, 1], [18, 1]], 1/1007769600], [[[1, 2], [2, 1], [6, 6], [12, 1], [14, 1]], 1/2508226560], [[[1, 2], [2, 1], [6, 6], [12, 1], [18, 1]], 1/71663616], [[[1, 2], [2, 1], [6, 7], [8, 1], [12, 1]], 1/4299816960], [[[1, 2], [2, 1], [6, 7], [10, 1], [12, 1]], 1/5374771200], [[[1, 2], [2, 1], [7, 1], [8, 2], [10, 2]], 1/3225600], [[[1, 2], [2, 1], [7, 1], [8, 2], [12, 2]], 1/1548288], [[[1, 2], [2, 1], [7, 1], [8, 2], [15, 1]], 1/161280], [[[1, 2], [2, 1], [7, 1], [8, 2], [20, 1]], 1/107520], [[[1, 2], [2, 1], [7, 1], [8, 2], [24, 1]], 11/43008], [[[1, 2], [2, 1], [7, 1], [8, 2], [30, 1]], 1/161280], [[[1, 2], [2, 1], [7, 1], [10, 2], [12, 2]], 1/4838400], [[[1, 2], [2, 1], [7, 1], [10, 2], [15, 1]], 1/504000], [[[1, 2], [2, 1], [7, 1], [10, 2], [20, 1]], 1/336000], [[[1, 2], [2, 1], [7, 1], [10, 2], [24, 1]], 1/403200], [[[1, 2], [2, 1], [7, 1], [10, 2], [30, 1]], 1/504000], [[[1, 2], [2, 1], [7, 1], [12, 1], [36, 1]], 1/3024], [[[1, 2], [2, 1], [7, 1], [12, 2], [15, 1]], 1/241920], [[[1, 2], [2, 1], [7, 1], [12, 2], [20, 1]], 1/161280], [[[1, 2], [2, 1], [7, 1], [12, 2], [24, 1]], 13/193536], [[[1, 2], [2, 1], [7, 1], [12, 2], [30, 1]], 1/241920], [[[1, 2], [2, 1], [7, 1], [15, 1], [20, 1]], 1/16800], [[[1, 2], [2, 1], [7, 1], [15, 1], [24, 1]], 1/20160], [[[1, 2], [2, 1], [7, 1], [15, 1], [30, 1]], 1/1575], [[[1, 2], [2, 1], [7, 1], [20, 1], [24, 1]], 1/13440], [[[1, 2], [2, 1], [7, 1], [20, 1], [30, 1]], 1/16800], [[[1, 2], [2, 1], [7, 1], [24, 1], [30, 1]], 1/20160], [[[1, 2], [2, 1], [8, 2], [9, 1], [10, 2]], 1/6220800], [[[1, 2], [2, 1], [8, 2], [9, 1], [12, 2]], 1/2985984], [[[1, 2], [2, 1], [8, 2], [9, 1], [15, 1]], 1/311040], [[[1, 2], [2, 1], [8, 2], [9, 1], [20, 1]], 1/207360], [[[1, 2], [2, 1], [8, 2], [9, 1], [24, 1]], 11/82944], [[[1, 2], [2, 1], [8, 2], [9, 1], [30, 1]], 1/311040], [[[1, 2], [2, 1], [8, 2], [10, 2], [14, 1]], 1/6451200], [[[1, 2], [2, 1], [8, 2], [10, 2], [18, 1]], 1/8294400], [[[1, 2], [2, 1], [8, 2], [12, 2], [14, 1]], 1/3096576], [[[1, 2], [2, 1], [8, 2], [12, 2], [18, 1]], 1/3981312], [[[1, 2], [2, 1], [8, 2], [14, 1], [15, 1]], 1/322560], [[[1, 2], [2, 1], [8, 2], [14, 1], [20, 1]], 1/215040], [[[1, 2], [2, 1], [8, 2], [14, 1], [24, 1]], 11/86016], [[[1, 2], [2, 1], [8, 2], [14, 1], [30, 1]], 1/322560], [[[1, 2], [2, 1], [8, 2], [15, 1], [18, 1]], 1/414720], [[[1, 2], [2, 1], [8, 2], [18, 1], [20, 1]], 1/276480], [[[1, 2], [2, 1], [8, 2], [18, 1], [24, 1]], 11/110592], [[[1, 2], [2, 1], [8, 2], [18, 1], [30, 1]], 1/414720], [[[1, 2], [2, 1], [9, 1], [10, 2], [12, 2]], 1/9331200], [[[1, 2], [2, 1], [9, 1], [10, 2], [15, 1]], 1/972000], [[[1, 2], [2, 1], [9, 1], [10, 2], [20, 1]], 1/648000], [[[1, 2], [2, 1], [9, 1], [10, 2], [24, 1]], 1/777600], [[[1, 2], [2, 1], [9, 1], [10, 2], [30, 1]], 1/972000], [[[1, 2], [2, 1], [9, 1], [12, 1], [36, 1]], 1/5832], [[[1, 2], [2, 1], [9, 1], [12, 2], [15, 1]], 1/466560], [[[1, 2], [2, 1], [9, 1], [12, 2], [20, 1]], 1/311040], [[[1, 2], [2, 1], [9, 1], [12, 2], [24, 1]], 13/373248], [[[1, 2], [2, 1], [9, 1], [12, 2], [30, 1]], 1/466560], [[[1, 2], [2, 1], [9, 1], [15, 1], [20, 1]], 1/32400], [[[1, 2], [2, 1], [9, 1], [15, 1], [24, 1]], 1/38880], [[[1, 2], [2, 1], [9, 1], [15, 1], [30, 1]], 2/6075], [[[1, 2], [2, 1], [9, 1], [20, 1], [24, 1]], 1/25920], [[[1, 2], [2, 1], [9, 1], [20, 1], [30, 1]], 1/32400], [[[1, 2], [2, 1], [9, 1], [24, 1], [30, 1]], 1/38880], [[[1, 2], [2, 1], [10, 2], [12, 2], [14, 1]], 1/9676800], [[[1, 2], [2, 1], [10, 2], [12, 2], [18, 1]], 1/12441600], [[[1, 2], [2, 1], [10, 2], [14, 1], [15, 1]], 1/1008000], [[[1, 2], [2, 1], [10, 2], [14, 1], [20, 1]], 1/672000], [[[1, 2], [2, 1], [10, 2], [14, 1], [24, 1]], 1/806400], [[[1, 2], [2, 1], [10, 2], [14, 1], [30, 1]], 1/1008000], [[[1, 2], [2, 1], [10, 2], [15, 1], [18, 1]], 1/1296000], [[[1, 2], [2, 1], [10, 2], [18, 1], [20, 1]], 1/864000], [[[1, 2], [2, 1], [10, 2], [18, 1], [24, 1]], 1/1036800], [[[1, 2], [2, 1], [10, 2], [18, 1], [30, 1]], 1/1296000], [[[1, 2], [2, 1], [12, 1], [14, 1], [36, 1]], 1/6048], [[[1, 2], [2, 1], [12, 1], [18, 1], [36, 1]], 1/7776], [[[1, 2], [2, 1], [12, 2], [14, 1], [15, 1]], 1/483840], [[[1, 2], [2, 1], [12, 2], [14, 1], [20, 1]], 1/322560], [[[1, 2], [2, 1], [12, 2], [14, 1], [24, 1]], 13/387072], [[[1, 2], [2, 1], [12, 2], [14, 1], [30, 1]], 1/483840], [[[1, 2], [2, 1], [12, 2], [15, 1], [18, 1]], 1/622080], [[[1, 2], [2, 1], [12, 2], [18, 1], [20, 1]], 1/414720], [[[1, 2], [2, 1], [12, 2], [18, 1], [24, 1]], 13/497664], [[[1, 2], [2, 1], [12, 2], [18, 1], [30, 1]], 1/622080], [[[1, 2], [2, 1], [14, 1], [15, 1], [20, 1]], 1/33600], [[[1, 2], [2, 1], [14, 1], [15, 1], [24, 1]], 1/40320], [[[1, 2], [2, 1], [14, 1], [15, 1], [30, 1]], 1/3150], [[[1, 2], [2, 1], [14, 1], [20, 1], [24, 1]], 1/26880], [[[1, 2], [2, 1], [14, 1], [20, 1], [30, 1]], 1/33600], [[[1, 2], [2, 1], [14, 1], [24, 1], [30, 1]], 1/40320], [[[1, 2], [2, 1], [15, 1], [18, 1], [20, 1]], 1/43200], [[[1, 2], [2, 1], [15, 1], [18, 1], [24, 1]], 1/51840], [[[1, 2], [2, 1], [15, 1], [18, 1], [30, 1]], 1/4050], [[[1, 2], [2, 1], [18, 1], [20, 1], [24, 1]], 1/34560], [[[1, 2], [2, 1], [18, 1], [20, 1], [30, 1]], 1/43200], [[[1, 2], [2, 1], [18, 1], [24, 1], [30, 1]], 1/51840], [[[1, 2], [2, 3], [3, 1], [4, 1], [5, 4]], 59/165888000], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 8]], 143/6191736422400], [[[1, 2], [2, 3], [3, 1], [4, 1], [8, 4]], 547/47185920], [[[1, 2], [2, 3], [3, 1], [4, 1], [10, 4]], 7/829440000], [[[1, 2], [2, 3], [3, 1], [4, 1], [12, 4]], 10241/2866544640], [[[1, 2], [2, 3], [3, 1], [4, 1], [15, 2]], 7/2073600], [[[1, 2], [2, 3], [3, 1], [4, 1], [16, 2]], 7/442368], [[[1, 2], [2, 3], [3, 1], [4, 1], [20, 2]], 7/552960], [[[1, 2], [2, 3], [3, 1], [4, 1], [24, 2]], 7/442368], [[[1, 2], [2, 3], [3, 1], [4, 1], [30, 2]], 7/2073600], [[[1, 2], [2, 3], [3, 1], [4, 1], [40, 1]], 7/46080], [[[1, 2], [2, 3], [3, 1], [4, 1], [48, 1]], 7/55296], [[[1, 2], [2, 3], [3, 1], [4, 1], [60, 1]], 7/69120], [[[1, 2], [2, 3], [3, 1], [4, 2], [6, 7]], 37/1393140695040], [[[1, 2], [2, 3], [3, 1], [4, 3], [5, 3]], 1/55296000], [[[1, 2], [2, 3], [3, 1], [4, 3], [6, 6]], 19/206391214080], [[[1, 2], [2, 3], [3, 1], [4, 3], [8, 3]], 11/3145728], [[[1, 2], [2, 3], [3, 1], [4, 3], [9, 2]], 1/2985984], [[[1, 2], [2, 3], [3, 1], [4, 3], [12, 3]], 10787/573308928], [[[1, 2], [2, 3], [3, 1], [4, 3], [28, 1]], 1/9216], [[[1, 2], [2, 3], [3, 1], [4, 3], [36, 1]], 7/248832], [[[1, 2], [2, 3], [3, 1], [4, 4], [6, 5]], 401/1238347284480], [[[1, 2], [2, 3], [3, 1], [4, 5], [5, 2]], 151/31850496000], [[[1, 2], [2, 3], [3, 1], [4, 5], [6, 4]], 647/8255648563200], [[[1, 2], [2, 3], [3, 1], [4, 5], [8, 2]], 5341/10192158720], [[[1, 2], [2, 3], [3, 1], [4, 5], [10, 2]], 7/31850496000], [[[1, 2], [2, 3], [3, 1], [4, 5], [12, 2]], 39127/15288238080], [[[1, 2], [2, 3], [3, 1], [4, 5], [15, 1]], 7/1592524800], [[[1, 2], [2, 3], [3, 1], [4, 5], [20, 1]], 539/212336640], [[[1, 2], [2, 3], [3, 1], [4, 5], [24, 1]], 7/1274019840], [[[1, 2], [2, 3], [3, 1], [4, 5], [30, 1]], 7/1592524800], [[[1, 2], [2, 3], [3, 1], [4, 6], [6, 3]], 37/412782428160], [[[1, 2], [2, 3], [3, 1], [4, 6], [9, 1]], 533/15288238080], [[[1, 2], [2, 3], [3, 1], [4, 6], [14, 1]], 1/1486356480], [[[1, 2], [2, 3], [3, 1], [4, 6], [18, 1]], 1/5733089280], [[[1, 2], [2, 3], [3, 1], [4, 7], [5, 1]], 17/17836277760], [[[1, 2], [2, 3], [3, 1], [4, 7], [6, 2]], 197/428070666240], [[[1, 2], [2, 3], [3, 1], [4, 7], [8, 1]], 191/142690222080], [[[1, 2], [2, 3], [3, 1], [4, 7], [12, 1]], 8213/642105999360], [[[1, 2], [2, 3], [3, 1], [4, 8], [6, 1]], 239/146767085568], [[[1, 2], [2, 3], [3, 1], [5, 1], [6, 7]], 1/29023764480], [[[1, 2], [2, 3], [3, 1], [5, 2], [6, 5]], 29/16124313600], [[[1, 2], [2, 3], [3, 1], [5, 3], [6, 3]], 1/111974400], [[[1, 2], [2, 3], [3, 1], [5, 3], [7, 1]], 1/2016000], [[[1, 2], [2, 3], [3, 1], [5, 3], [9, 1]], 1/1728000], [[[1, 2], [2, 3], [3, 1], [5, 3], [14, 1]], 1/672000], [[[1, 2], [2, 3], [3, 1], [5, 3], [18, 1]], 1/1555200], [[[1, 2], [2, 3], [3, 1], [5, 4], [6, 1]], 1/41472000], [[[1, 2], [2, 3], [3, 1], [6, 1], [8, 4]], 1/262144], [[[1, 2], [2, 3], [3, 1], [6, 1], [10, 4]], 1/41472000], [[[1, 2], [2, 3], [3, 1], [6, 1], [12, 4]], 323/143327232], [[[1, 2], [2, 3], [3, 1], [6, 1], [15, 2]], 1/103680], [[[1, 2], [2, 3], [3, 1], [6, 1], [16, 2]], 5/110592], [[[1, 2], [2, 3], [3, 1], [6, 1], [20, 2]], 1/27648], [[[1, 2], [2, 3], [3, 1], [6, 1], [24, 2]], 13/110592], [[[1, 2], [2, 3], [3, 1], [6, 1], [30, 2]], 1/103680], [[[1, 2], [2, 3], [3, 1], [6, 1], [40, 1]], 1/2304], [[[1, 2], [2, 3], [3, 1], [6, 1], [48, 1]], 5/13824], [[[1, 2], [2, 3], [3, 1], [6, 1], [60, 1]], 1/3456], [[[1, 2], [2, 3], [3, 1], [6, 3], [8, 3]], 31/143327232], [[[1, 2], [2, 3], [3, 1], [6, 3], [9, 2]], 13/90699264], [[[1, 2], [2, 3], [3, 1], [6, 3], [10, 3]], 7/62208000], [[[1, 2], [2, 3], [3, 1], [6, 3], [12, 3]], 1615/644972544], [[[1, 2], [2, 3], [3, 1], [6, 3], [18, 2]], 3931/10077696], [[[1, 2], [2, 3], [3, 1], [6, 5], [8, 2]], 253/25798901760], [[[1, 2], [2, 3], [3, 1], [6, 5], [10, 2]], 29/16124313600], [[[1, 2], [2, 3], [3, 1], [6, 5], [12, 2]], 2429/7739670528], [[[1, 2], [2, 3], [3, 1], [6, 5], [15, 1]], 29/806215680], [[[1, 2], [2, 3], [3, 1], [6, 5], [20, 1]], 29/537477120], [[[1, 2], [2, 3], [3, 1], [6, 5], [24, 1]], 181/3224862720], [[[1, 2], [2, 3], [3, 1], [6, 5], [30, 1]], 29/806215680], [[[1, 2], [2, 3], [3, 1], [6, 6], [7, 1]], 1/2508226560], [[[1, 2], [2, 3], [3, 1], [6, 6], [9, 1]], 157/87071293440], [[[1, 2], [2, 3], [3, 1], [6, 6], [14, 1]], 1/1074954240], [[[1, 2], [2, 3], [3, 1], [6, 6], [18, 1]], 593/29023764480], [[[1, 2], [2, 3], [3, 1], [6, 7], [8, 1]], 31/116095057920], [[[1, 2], [2, 3], [3, 1], [6, 7], [10, 1]], 7/16124313600], [[[1, 2], [2, 3], [3, 1], [6, 7], [12, 1]], 287/69657034752], [[[1, 2], [2, 3], [3, 1], [7, 1], [8, 3]], 1/516096], [[[1, 2], [2, 3], [3, 1], [7, 1], [9, 2]], 1/108864], [[[1, 2], [2, 3], [3, 1], [7, 1], [12, 3]], 1/774144], [[[1, 2], [2, 3], [3, 1], [7, 2], [9, 1]], 1/169344], [[[1, 2], [2, 3], [3, 1], [8, 3], [9, 1]], 19/7962624], [[[1, 2], [2, 3], [3, 1], [8, 3], [14, 1]], 1/258048], [[[1, 2], [2, 3], [3, 1], [8, 3], [18, 1]], 1/497664], [[[1, 2], [2, 3], [3, 1], [9, 1], [10, 3]], 1/3110400], [[[1, 2], [2, 3], [3, 1], [9, 1], [12, 3]], 1/995328], [[[1, 2], [2, 3], [3, 1], [9, 1], [14, 2]], 1/56448], [[[1, 2], [2, 3], [3, 1], [9, 1], [18, 2]], 5/839808], [[[1, 2], [2, 3], [3, 1], [9, 2], [14, 1]], 1/46656], [[[1, 2], [2, 3], [3, 1], [9, 2], [18, 1]], 67/1259712], [[[1, 2], [2, 3], [3, 1], [12, 3], [14, 1]], 1/331776], [[[1, 2], [2, 3], [3, 1], [12, 3], [18, 1]], 13/8957952], [[[1, 2], [2, 3], [3, 2], [4, 1], [6, 7]], 19/103195607040], [[[1, 2], [2, 3], [3, 2], [4, 2], [6, 6]], 10109/1651129712640], [[[1, 2], [2, 3], [3, 2], [4, 2], [9, 2]], 29/35831808], [[[1, 2], [2, 3], [3, 2], [4, 2], [12, 3]], 28805/4586471424], [[[1, 2], [2, 3], [3, 2], [4, 2], [28, 1]], 1/32256], [[[1, 2], [2, 3], [3, 2], [4, 2], [36, 1]], 1/124416], [[[1, 2], [2, 3], [3, 2], [4, 3], [6, 5]], 11/51597803520], [[[1, 2], [2, 3], [3, 2], [4, 4], [5, 2]], 1/637009920], [[[1, 2], [2, 3], [3, 2], [4, 4], [6, 4]], 521/4127824281600], [[[1, 2], [2, 3], [3, 2], [4, 4], [8, 2]], 253/5096079360], [[[1, 2], [2, 3], [3, 2], [4, 4], [10, 2]], 1/15925248000], [[[1, 2], [2, 3], [3, 2], [4, 4], [12, 2]], 12079/7644119040], [[[1, 2], [2, 3], [3, 2], [4, 4], [15, 1]], 1/796262400], [[[1, 2], [2, 3], [3, 2], [4, 4], [20, 1]], 77/106168320], [[[1, 2], [2, 3], [3, 2], [4, 4], [24, 1]], 1/637009920], [[[1, 2], [2, 3], [3, 2], [4, 4], [30, 1]], 1/796262400], [[[1, 2], [2, 3], [3, 2], [4, 5], [6, 3]], 13/10192158720], [[[1, 2], [2, 3], [3, 2], [4, 5], [9, 1]], 7/2866544640], [[[1, 2], [2, 3], [3, 2], [4, 6], [6, 2]], 3431/163074539520], [[[1, 2], [2, 3], [3, 2], [4, 6], [12, 1]], 7229/733835427840], [[[1, 2], [2, 3], [3, 2], [4, 7], [6, 1]], 17/64210599936], [[[1, 2], [2, 3], [3, 2], [5, 1], [6, 6]], 1/4777574400], [[[1, 2], [2, 3], [3, 2], [5, 1], [8, 3]], 1/1105920], [[[1, 2], [2, 3], [3, 2], [5, 1], [9, 2]], 1/186624], [[[1, 2], [2, 3], [3, 2], [5, 1], [12, 3]], 1/1474560], [[[1, 2], [2, 3], [3, 2], [5, 2], [6, 4]], 109/10749542400], [[[1, 2], [2, 3], [3, 2], [5, 2], [8, 2]], 37/66355200], [[[1, 2], [2, 3], [3, 2], [5, 2], [10, 2]], 13/8294400], [[[1, 2], [2, 3], [3, 2], [5, 2], [12, 2]], 43/99532800], [[[1, 2], [2, 3], [3, 2], [5, 2], [15, 1]], 1/414720], [[[1, 2], [2, 3], [3, 2], [5, 2], [20, 1]], 1/276480], [[[1, 2], [2, 3], [3, 2], [5, 2], [24, 1]], 1/331776], [[[1, 2], [2, 3], [3, 2], [5, 2], [30, 1]], 1/414720], [[[1, 2], [2, 3], [3, 2], [5, 3], [6, 2]], 1/18432000], [[[1, 2], [2, 3], [3, 2], [5, 3], [8, 1]], 1/3456000], [[[1, 2], [2, 3], [3, 2], [5, 3], [12, 1]], 1/3072000], [[[1, 2], [2, 3], [3, 2], [6, 2], [7, 2]], 1/5419008], [[[1, 2], [2, 3], [3, 2], [6, 2], [8, 3]], 119/254803968], [[[1, 2], [2, 3], [3, 2], [6, 2], [9, 2]], 46777/80621568], [[[1, 2], [2, 3], [3, 2], [6, 2], [10, 3]], 61/497664000], [[[1, 2], [2, 3], [3, 2], [6, 2], [12, 3]], 25/17915904], [[[1, 2], [2, 3], [3, 2], [6, 2], [14, 2]], 1/1806336], [[[1, 2], [2, 3], [3, 2], [6, 2], [18, 2]], 15605/26873856], [[[1, 2], [2, 3], [3, 2], [6, 4], [8, 2]], 1613/17199267840], [[[1, 2], [2, 3], [3, 2], [6, 4], [10, 2]], 7001/53747712000], [[[1, 2], [2, 3], [3, 2], [6, 4], [12, 2]], 35249/25798901760], [[[1, 2], [2, 3], [3, 2], [6, 4], [15, 1]], 521/2687385600], [[[1, 2], [2, 3], [3, 2], [6, 4], [20, 1]], 521/1791590400], [[[1, 2], [2, 3], [3, 2], [6, 4], [24, 1]], 11321/2149908480], [[[1, 2], [2, 3], [3, 2], [6, 4], [30, 1]], 521/2687385600], [[[1, 2], [2, 3], [3, 2], [6, 5], [7, 1]], 11/1504935936], [[[1, 2], [2, 3], [3, 2], [6, 5], [9, 1]], 241/9674588160], [[[1, 2], [2, 3], [3, 2], [6, 5], [14, 1]], 11/1074954240], [[[1, 2], [2, 3], [3, 2], [6, 5], [18, 1]], 1097/9674588160], [[[1, 2], [2, 3], [3, 2], [6, 6], [8, 1]], 253/68797071360], [[[1, 2], [2, 3], [3, 2], [6, 6], [10, 1]], 23/4777574400], [[[1, 2], [2, 3], [3, 2], [6, 6], [12, 1]], 2899/116095057920], [[[1, 2], [2, 3], [3, 2], [7, 2], [12, 1]], 1/903168], [[[1, 2], [2, 3], [3, 2], [8, 1], [9, 2]], 31/4478976], [[[1, 2], [2, 3], [3, 2], [8, 1], [12, 3]], 55/63700992], [[[1, 2], [2, 3], [3, 2], [8, 2], [10, 2]], 13/66355200], [[[1, 2], [2, 3], [3, 2], [8, 2], [12, 2]], 31/31850496], [[[1, 2], [2, 3], [3, 2], [8, 2], [15, 1]], 13/3317760], [[[1, 2], [2, 3], [3, 2], [8, 2], [20, 1]], 13/2211840], [[[1, 2], [2, 3], [3, 2], [8, 2], [24, 1]], 5/294912], [[[1, 2], [2, 3], [3, 2], [8, 2], [30, 1]], 13/3317760], [[[1, 2], [2, 3], [3, 2], [8, 3], [12, 1]], 55/42467328], [[[1, 2], [2, 3], [3, 2], [9, 2], [10, 1]], 1/559872], [[[1, 2], [2, 3], [3, 2], [9, 2], [12, 1]], 1/165888], [[[1, 2], [2, 3], [3, 2], [10, 1], [12, 3]], 1/7962624], [[[1, 2], [2, 3], [3, 2], [10, 2], [12, 2]], 19/99532800], [[[1, 2], [2, 3], [3, 2], [10, 2], [15, 1]], 1/10368000], [[[1, 2], [2, 3], [3, 2], [10, 2], [20, 1]], 1/6912000], [[[1, 2], [2, 3], [3, 2], [10, 2], [24, 1]], 1/8294400], [[[1, 2], [2, 3], [3, 2], [10, 2], [30, 1]], 1/10368000], [[[1, 2], [2, 3], [3, 2], [10, 3], [12, 1]], 1/16588800], [[[1, 2], [2, 3], [3, 2], [12, 1], [14, 2]], 1/301056], [[[1, 2], [2, 3], [3, 2], [12, 1], [18, 2]], 5/4478976], [[[1, 2], [2, 3], [3, 2], [12, 1], [36, 1]], 1/62208], [[[1, 2], [2, 3], [3, 2], [12, 2], [15, 1]], 19/4976640], [[[1, 2], [2, 3], [3, 2], [12, 2], [20, 1]], 19/3317760], [[[1, 2], [2, 3], [3, 2], [12, 2], [24, 1]], 31/3981312], [[[1, 2], [2, 3], [3, 2], [12, 2], [30, 1]], 19/4976640], [[[1, 2], [2, 3], [3, 2], [15, 1], [20, 1]], 1/345600], [[[1, 2], [2, 3], [3, 2], [15, 1], [24, 1]], 1/414720], [[[1, 2], [2, 3], [3, 2], [15, 1], [30, 1]], 1/32400], [[[1, 2], [2, 3], [3, 2], [20, 1], [24, 1]], 1/276480], [[[1, 2], [2, 3], [3, 2], [20, 1], [30, 1]], 1/345600], [[[1, 2], [2, 3], [3, 2], [24, 1], [30, 1]], 1/414720], [[[1, 2], [2, 3], [3, 3], [4, 1], [5, 3]], 1/124416000], [[[1, 2], [2, 3], [3, 3], [4, 1], [6, 6]], 5357/103195607040], [[[1, 2], [2, 3], [3, 3], [4, 1], [8, 3]], 41/191102976], [[[1, 2], [2, 3], [3, 3], [4, 1], [9, 2]], 7/6718464], [[[1, 2], [2, 3], [3, 3], [4, 1], [10, 3]], 1/124416000], [[[1, 2], [2, 3], [3, 3], [4, 1], [12, 3]], 1415/859963392], [[[1, 2], [2, 3], [3, 3], [4, 1], [28, 1]], 1/290304], [[[1, 2], [2, 3], [3, 3], [4, 1], [36, 1]], 1/373248], [[[1, 2], [2, 3], [3, 3], [4, 2], [6, 5]], 3343/1393140695040], [[[1, 2], [2, 3], [3, 3], [4, 3], [5, 2]], 1/2388787200], [[[1, 2], [2, 3], [3, 3], [4, 3], [6, 4]], 108811/619173642240], [[[1, 2], [2, 3], [3, 3], [4, 3], [8, 2]], 49/764411904], [[[1, 2], [2, 3], [3, 3], [4, 3], [10, 2]], 1/2388787200], [[[1, 2], [2, 3], [3, 3], [4, 3], [12, 2]], 775/1146617856], [[[1, 2], [2, 3], [3, 3], [4, 3], [15, 1]], 1/119439360], [[[1, 2], [2, 3], [3, 3], [4, 3], [16, 1]], 1/3981312], [[[1, 2], [2, 3], [3, 3], [4, 3], [20, 1]], 13/15925248], [[[1, 2], [2, 3], [3, 3], [4, 3], [24, 1]], 1/95551488], [[[1, 2], [2, 3], [3, 3], [4, 3], [30, 1]], 1/119439360], [[[1, 2], [2, 3], [3, 3], [4, 4], [6, 3]], 856669/5572562780160], [[[1, 2], [2, 3], [3, 3], [4, 4], [7, 1]], 1/6688604160], [[[1, 2], [2, 3], [3, 3], [4, 4], [9, 1]], 7/8599633920], [[[1, 2], [2, 3], [3, 3], [4, 4], [14, 1]], 1/2866544640], [[[1, 2], [2, 3], [3, 3], [4, 4], [18, 1]], 13/77396705280], [[[1, 2], [2, 3], [3, 3], [4, 5], [5, 1]], 1/9555148800], [[[1, 2], [2, 3], [3, 3], [4, 5], [6, 2]], 71/91729428480], [[[1, 2], [2, 3], [3, 3], [4, 5], [8, 1]], 61/9172942848], [[[1, 2], [2, 3], [3, 3], [4, 5], [10, 1]], 1/9555148800], [[[1, 2], [2, 3], [3, 3], [4, 5], [12, 1]], 701/45864714240], [[[1, 2], [2, 3], [3, 3], [4, 6], [6, 1]], 13/412782428160], [[[1, 2], [2, 3], [3, 3], [5, 1], [6, 5]], 11/3224862720], [[[1, 2], [2, 3], [3, 3], [5, 2], [6, 3]], 6169/72559411200], [[[1, 2], [2, 3], [3, 3], [5, 2], [7, 1]], 1/87091200], [[[1, 2], [2, 3], [3, 3], [5, 2], [9, 1]], 151/111974400], [[[1, 2], [2, 3], [3, 3], [5, 2], [14, 1]], 1/37324800], [[[1, 2], [2, 3], [3, 3], [5, 2], [18, 1]], 13/1007769600], [[[1, 2], [2, 3], [3, 3], [5, 3], [6, 1]], 1/12441600], [[[1, 2], [2, 3], [3, 3], [6, 1], [8, 3]], 13/47775744], [[[1, 2], [2, 3], [3, 3], [6, 1], [9, 2]], 43/10077696], [[[1, 2], [2, 3], [3, 3], [6, 1], [10, 3]], 7/559872000], [[[1, 2], [2, 3], [3, 3], [6, 1], [12, 3]], 1615/644972544], [[[1, 2], [2, 3], [3, 3], [6, 1], [18, 2]], 13/90699264], [[[1, 2], [2, 3], [3, 3], [6, 3], [8, 2]], 14917/23219011584], [[[1, 2], [2, 3], [3, 3], [6, 3], [10, 2]], 6169/72559411200], [[[1, 2], [2, 3], [3, 3], [6, 3], [12, 2]], 214609/34828517376], [[[1, 2], [2, 3], [3, 3], [6, 3], [15, 1]], 6169/3627970560], [[[1, 2], [2, 3], [3, 3], [6, 3], [20, 1]], 6169/2418647040], [[[1, 2], [2, 3], [3, 3], [6, 3], [24, 1]], 96565/2902376448], [[[1, 2], [2, 3], [3, 3], [6, 3], [30, 1]], 6169/3627970560], [[[1, 2], [2, 3], [3, 3], [6, 4], [7, 1]], 811/22574039040], [[[1, 2], [2, 3], [3, 3], [6, 4], [9, 1]], 3937/29023764480], [[[1, 2], [2, 3], [3, 3], [6, 4], [14, 1]], 811/9674588160], [[[1, 2], [2, 3], [3, 3], [6, 4], [18, 1]], 257303/261213880320], [[[1, 2], [2, 3], [3, 3], [6, 5], [8, 1]], 943/38698352640], [[[1, 2], [2, 3], [3, 3], [6, 5], [10, 1]], 5677/145118822400], [[[1, 2], [2, 3], [3, 3], [6, 5], [12, 1]], 14965/69657034752], [[[1, 2], [2, 3], [3, 3], [7, 1], [8, 2]], 1/27869184], [[[1, 2], [2, 3], [3, 3], [7, 1], [10, 2]], 1/87091200], [[[1, 2], [2, 3], [3, 3], [7, 1], [12, 2]], 55/41803776], [[[1, 2], [2, 3], [3, 3], [7, 1], [15, 1]], 1/4354560], [[[1, 2], [2, 3], [3, 3], [7, 1], [20, 1]], 1/2903040], [[[1, 2], [2, 3], [3, 3], [7, 1], [24, 1]], 1/3483648], [[[1, 2], [2, 3], [3, 3], [7, 1], [30, 1]], 1/4354560], [[[1, 2], [2, 3], [3, 3], [8, 2], [9, 1]], 79/35831808], [[[1, 2], [2, 3], [3, 3], [8, 2], [14, 1]], 1/11943936], [[[1, 2], [2, 3], [3, 3], [8, 2], [18, 1]], 13/322486272], [[[1, 2], [2, 3], [3, 3], [9, 1], [10, 2]], 7/111974400], [[[1, 2], [2, 3], [3, 3], [9, 1], [12, 2]], 169/53747712], [[[1, 2], [2, 3], [3, 3], [9, 1], [15, 1]], 7/5598720], [[[1, 2], [2, 3], [3, 3], [9, 1], [20, 1]], 7/3732480], [[[1, 2], [2, 3], [3, 3], [9, 1], [24, 1]], 7/4478976], [[[1, 2], [2, 3], [3, 3], [9, 1], [30, 1]], 7/5598720], [[[1, 2], [2, 3], [3, 3], [10, 2], [14, 1]], 1/37324800], [[[1, 2], [2, 3], [3, 3], [10, 2], [18, 1]], 13/1007769600], [[[1, 2], [2, 3], [3, 3], [12, 2], [14, 1]], 55/17915904], [[[1, 2], [2, 3], [3, 3], [12, 2], [18, 1]], 715/483729408], [[[1, 2], [2, 3], [3, 3], [14, 1], [15, 1]], 1/1866240], [[[1, 2], [2, 3], [3, 3], [14, 1], [20, 1]], 1/1244160], [[[1, 2], [2, 3], [3, 3], [14, 1], [24, 1]], 1/1492992], [[[1, 2], [2, 3], [3, 3], [14, 1], [30, 1]], 1/1866240], [[[1, 2], [2, 3], [3, 3], [15, 1], [18, 1]], 13/50388480], [[[1, 2], [2, 3], [3, 3], [18, 1], [20, 1]], 13/33592320], [[[1, 2], [2, 3], [3, 3], [18, 1], [24, 1]], 13/40310784], [[[1, 2], [2, 3], [3, 3], [18, 1], [30, 1]], 13/50388480], [[[1, 2], [2, 3], [3, 4], [4, 1], [6, 5]], 3485593/9287604633600], [[[1, 2], [2, 3], [3, 4], [4, 2], [5, 2]], 121/114661785600], [[[1, 2], [2, 3], [3, 4], [4, 2], [6, 4]], 280494439/148601674137600], [[[1, 2], [2, 3], [3, 4], [4, 2], [8, 2]], 4817/183458856960], [[[1, 2], [2, 3], [3, 4], [4, 2], [10, 2]], 121/114661785600], [[[1, 2], [2, 3], [3, 4], [4, 2], [12, 2]], 48563/275188285440], [[[1, 2], [2, 3], [3, 4], [4, 2], [15, 1]], 29/28665446400], [[[1, 2], [2, 3], [3, 4], [4, 2], [16, 1]], 1/39813120], [[[1, 2], [2, 3], [3, 4], [4, 2], [20, 1]], 413/19110297600], [[[1, 2], [2, 3], [3, 4], [4, 2], [24, 1]], 29/22932357120], [[[1, 2], [2, 3], [3, 4], [4, 2], [30, 1]], 29/28665446400], [[[1, 2], [2, 3], [3, 4], [4, 3], [6, 3]], 811/464380231680], [[[1, 2], [2, 3], [3, 4], [4, 3], [7, 1]], 1/6688604160], [[[1, 2], [2, 3], [3, 4], [4, 3], [9, 1]], 41/8599633920], [[[1, 2], [2, 3], [3, 4], [4, 3], [14, 1]], 1/3344302080], [[[1, 2], [2, 3], [3, 4], [4, 3], [18, 1]], 1/6449725440], [[[1, 2], [2, 3], [3, 4], [4, 4], [5, 1]], 67/382205952000], [[[1, 2], [2, 3], [3, 4], [4, 4], [6, 2]], 361/2476694568960], [[[1, 2], [2, 3], [3, 4], [4, 4], [8, 1]], 13987/5503765708800], [[[1, 2], [2, 3], [3, 4], [4, 4], [10, 1]], 73/687970713600], [[[1, 2], [2, 3], [3, 4], [4, 4], [12, 1]], 19/8599633920], [[[1, 2], [2, 3], [3, 4], [4, 5], [6, 1]], 61/917294284800], [[[1, 2], [2, 3], [3, 4], [5, 1], [6, 4]], 1811/47775744000], [[[1, 2], [2, 3], [3, 4], [5, 1], [8, 2]], 1/58982400], [[[1, 2], [2, 3], [3, 4], [5, 1], [10, 2]], 1/184320000], [[[1, 2], [2, 3], [3, 4], [5, 1], [12, 2]], 173/265420800], [[[1, 2], [2, 3], [3, 4], [5, 1], [15, 1]], 1/9216000], [[[1, 2], [2, 3], [3, 4], [5, 1], [20, 1]], 1/6144000], [[[1, 2], [2, 3], [3, 4], [5, 1], [24, 1]], 1/7372800], [[[1, 2], [2, 3], [3, 4], [5, 1], [30, 1]], 1/9216000], [[[1, 2], [2, 3], [3, 4], [5, 2], [6, 2]], 1657/32248627200], [[[1, 2], [2, 3], [3, 4], [5, 2], [8, 1]], 487/71663616000], [[[1, 2], [2, 3], [3, 4], [5, 2], [10, 1]], 1/8957952000], [[[1, 2], [2, 3], [3, 4], [5, 2], [12, 1]], 77/298598400], [[[1, 2], [2, 3], [3, 4], [6, 2], [8, 2]], 5081/51597803520], [[[1, 2], [2, 3], [3, 4], [6, 2], [10, 2]], 2021/161243136000], [[[1, 2], [2, 3], [3, 4], [6, 2], [12, 2]], 15121/15479341056], [[[1, 2], [2, 3], [3, 4], [6, 2], [15, 1]], 361/1612431360], [[[1, 2], [2, 3], [3, 4], [6, 2], [20, 1]], 361/1074954240], [[[1, 2], [2, 3], [3, 4], [6, 2], [24, 1]], 4249/1289945088], [[[1, 2], [2, 3], [3, 4], [6, 2], [30, 1]], 361/1612431360], [[[1, 2], [2, 3], [3, 4], [6, 3], [7, 1]], 811/13544423424], [[[1, 2], [2, 3], [3, 4], [6, 3], [9, 1]], 257303/261213880320], [[[1, 2], [2, 3], [3, 4], [6, 3], [14, 1]], 811/9674588160], [[[1, 2], [2, 3], [3, 4], [6, 3], [18, 1]], 2977/17414258688], [[[1, 2], [2, 3], [3, 4], [6, 4], [8, 1]], 1480997/18575209267200], [[[1, 2], [2, 3], [3, 4], [6, 4], [10, 1]], 172643/2321901158400], [[[1, 2], [2, 3], [3, 4], [6, 4], [12, 1]], 577/5804752896], [[[1, 2], [2, 3], [3, 4], [7, 1], [9, 1]], 41/313528320], [[[1, 2], [2, 3], [3, 4], [7, 1], [14, 1]], 17/243855360], [[[1, 2], [2, 3], [3, 4], [7, 1], [18, 1]], 1/188116992], [[[1, 2], [2, 3], [3, 4], [8, 1], [10, 2]], 487/71663616000], [[[1, 2], [2, 3], [3, 4], [8, 1], [12, 2]], 28297/34398535680], [[[1, 2], [2, 3], [3, 4], [8, 1], [15, 1]], 487/3583180800], [[[1, 2], [2, 3], [3, 4], [8, 1], [16, 1]], 1/79626240], [[[1, 2], [2, 3], [3, 4], [8, 1], [20, 1]], 487/2388787200], [[[1, 2], [2, 3], [3, 4], [8, 1], [24, 1]], 487/2866544640], [[[1, 2], [2, 3], [3, 4], [8, 1], [30, 1]], 487/3583180800], [[[1, 2], [2, 3], [3, 4], [8, 2], [10, 1]], 1/2866544640], [[[1, 2], [2, 3], [3, 4], [8, 2], [12, 1]], 41/95551488], [[[1, 2], [2, 3], [3, 4], [9, 1], [14, 1]], 41/134369280], [[[1, 2], [2, 3], [3, 4], [9, 1], [18, 1]], 587/3627970560], [[[1, 2], [2, 3], [3, 4], [10, 1], [12, 2]], 271/4299816960], [[[1, 2], [2, 3], [3, 4], [10, 1], [15, 1]], 1/447897600], [[[1, 2], [2, 3], [3, 4], [10, 1], [20, 1]], 1/298598400], [[[1, 2], [2, 3], [3, 4], [10, 1], [24, 1]], 1/358318080], [[[1, 2], [2, 3], [3, 4], [10, 1], [30, 1]], 1/447897600], [[[1, 2], [2, 3], [3, 4], [10, 2], [12, 1]], 1/59719680], [[[1, 2], [2, 3], [3, 4], [12, 1], [15, 1]], 1/2985984], [[[1, 2], [2, 3], [3, 4], [12, 1], [20, 1]], 1/1990656], [[[1, 2], [2, 3], [3, 4], [12, 1], [24, 1]], 5/11943936], [[[1, 2], [2, 3], [3, 4], [12, 1], [30, 1]], 1/2985984], [[[1, 2], [2, 3], [3, 4], [14, 1], [18, 1]], 1/134369280], [[[1, 2], [2, 3], [3, 5], [4, 1], [5, 2]], 151/107495424000], [[[1, 2], [2, 3], [3, 5], [4, 1], [6, 4]], 13533317/27862813900800], [[[1, 2], [2, 3], [3, 5], [4, 1], [8, 2]], 41/6879707136], [[[1, 2], [2, 3], [3, 5], [4, 1], [10, 2]], 7/107495424000], [[[1, 2], [2, 3], [3, 5], [4, 1], [12, 2]], 3481/51597803520], [[[1, 2], [2, 3], [3, 5], [4, 1], [15, 1]], 7/5374771200], [[[1, 2], [2, 3], [3, 5], [4, 1], [20, 1]], 7/3583180800], [[[1, 2], [2, 3], [3, 5], [4, 1], [24, 1]], 7/4299816960], [[[1, 2], [2, 3], [3, 5], [4, 1], [30, 1]], 7/5374771200], [[[1, 2], [2, 3], [3, 5], [4, 2], [6, 3]], 1207/1393140695040], [[[1, 2], [2, 3], [3, 5], [4, 2], [9, 1]], 29/51597803520], [[[1, 2], [2, 3], [3, 5], [4, 2], [14, 1]], 1/5016453120], [[[1, 2], [2, 3], [3, 5], [4, 2], [18, 1]], 1/19349176320], [[[1, 2], [2, 3], [3, 5], [4, 3], [5, 1]], 1/14332723200], [[[1, 2], [2, 3], [3, 5], [4, 3], [6, 2]], 49/206391214080], [[[1, 2], [2, 3], [3, 5], [4, 3], [8, 1]], 1/7644119040], [[[1, 2], [2, 3], [3, 5], [4, 3], [12, 1]], 31/20639121408], [[[1, 2], [2, 3], [3, 5], [4, 4], [6, 1]], 401/1238347284480], [[[1, 2], [2, 3], [3, 5], [5, 1], [6, 3]], 811/29023764480], [[[1, 2], [2, 3], [3, 5], [5, 1], [7, 1]], 1/522547200], [[[1, 2], [2, 3], [3, 5], [5, 1], [9, 1]], 83/1343692800], [[[1, 2], [2, 3], [3, 5], [5, 1], [14, 1]], 1/174182400], [[[1, 2], [2, 3], [3, 5], [5, 1], [18, 1]], 1/403107840], [[[1, 2], [2, 3], [3, 5], [5, 2], [6, 1]], 29/16124313600], [[[1, 2], [2, 3], [3, 5], [6, 1], [8, 2]], 253/25798901760], [[[1, 2], [2, 3], [3, 5], [6, 1], [10, 2]], 29/16124313600], [[[1, 2], [2, 3], [3, 5], [6, 1], [12, 2]], 2429/7739670528], [[[1, 2], [2, 3], [3, 5], [6, 1], [15, 1]], 29/806215680], [[[1, 2], [2, 3], [3, 5], [6, 1], [20, 1]], 29/537477120], [[[1, 2], [2, 3], [3, 5], [6, 1], [24, 1]], 181/3224862720], [[[1, 2], [2, 3], [3, 5], [6, 1], [30, 1]], 29/806215680], [[[1, 2], [2, 3], [3, 5], [6, 2], [7, 1]], 11/2508226560], [[[1, 2], [2, 3], [3, 5], [6, 2], [9, 1]], 3709/29023764480], [[[1, 2], [2, 3], [3, 5], [6, 2], [14, 1]], 11/1074954240], [[[1, 2], [2, 3], [3, 5], [6, 2], [18, 1]], 241/9674588160], [[[1, 2], [2, 3], [3, 5], [6, 3], [8, 1]], 3541/116095057920], [[[1, 2], [2, 3], [3, 5], [6, 3], [10, 1]], 77/16124313600], [[[1, 2], [2, 3], [3, 5], [6, 3], [12, 1]], 14965/69657034752], [[[1, 2], [2, 3], [3, 5], [7, 1], [8, 1]], 1/418037760], [[[1, 2], [2, 3], [3, 5], [7, 1], [12, 1]], 11/418037760], [[[1, 2], [2, 3], [3, 5], [8, 1], [9, 1]], 499/6449725440], [[[1, 2], [2, 3], [3, 5], [8, 1], [14, 1]], 1/209018880], [[[1, 2], [2, 3], [3, 5], [8, 1], [18, 1]], 1/403107840], [[[1, 2], [2, 3], [3, 5], [9, 1], [10, 1]], 1/806215680], [[[1, 2], [2, 3], [3, 5], [9, 1], [12, 1]], 37/179159040], [[[1, 2], [2, 3], [3, 5], [12, 1], [14, 1]], 11/179159040], [[[1, 2], [2, 3], [3, 5], [12, 1], [18, 1]], 143/4837294080], [[[1, 2], [2, 3], [3, 6], [4, 1], [6, 3]], 4019/103195607040], [[[1, 2], [2, 3], [3, 6], [4, 1], [9, 1]], 7/9674588160], [[[1, 2], [2, 3], [3, 6], [4, 2], [6, 2]], 3263/550376570880], [[[1, 2], [2, 3], [3, 6], [4, 2], [12, 1]], 385/495338913792], [[[1, 2], [2, 3], [3, 6], [4, 3], [6, 1]], 1/51597803520], [[[1, 2], [2, 3], [3, 6], [5, 1], [6, 2]], 89/42998169600], [[[1, 2], [2, 3], [3, 6], [5, 1], [8, 1]], 1/895795200], [[[1, 2], [2, 3], [3, 6], [5, 1], [12, 1]], 89/7166361600], [[[1, 2], [2, 3], [3, 6], [6, 1], [7, 1]], 1/1504935936], [[[1, 2], [2, 3], [3, 6], [6, 1], [9, 1]], 593/29023764480], [[[1, 2], [2, 3], [3, 6], [6, 1], [14, 1]], 1/1074954240], [[[1, 2], [2, 3], [3, 6], [6, 1], [18, 1]], 41/29023764480], [[[1, 2], [2, 3], [3, 6], [6, 2], [8, 1]], 599/206391214080], [[[1, 2], [2, 3], [3, 6], [6, 2], [10, 1]], 61/128994508800], [[[1, 2], [2, 3], [3, 6], [6, 2], [12, 1]], 341/12899450880], [[[1, 2], [2, 3], [3, 6], [8, 1], [12, 1]], 107/6879707136], [[[1, 2], [2, 3], [3, 6], [10, 1], [12, 1]], 1/4299816960], [[[1, 2], [2, 3], [3, 7], [4, 1], [5, 1]], 1/32248627200], [[[1, 2], [2, 3], [3, 7], [4, 1], [6, 2]], 71/309586821120], [[[1, 2], [2, 3], [3, 7], [4, 1], [8, 1]], 17/154793410560], [[[1, 2], [2, 3], [3, 7], [4, 1], [10, 1]], 1/32248627200], [[[1, 2], [2, 3], [3, 7], [4, 1], [12, 1]], 29/154793410560], [[[1, 2], [2, 3], [3, 7], [4, 2], [6, 1]], 13/1393140695040], [[[1, 2], [2, 3], [3, 7], [5, 1], [6, 1]], 1/3224862720], [[[1, 2], [2, 3], [3, 7], [6, 1], [8, 1]], 13/38698352640], [[[1, 2], [2, 3], [3, 7], [6, 1], [10, 1]], 7/145118822400], [[[1, 2], [2, 3], [3, 7], [6, 1], [12, 1]], 287/69657034752], [[[1, 2], [2, 3], [3, 8], [4, 1], [6, 1]], 323/18575209267200], [[[1, 2], [2, 3], [4, 1], [5, 1], [6, 7]], 1/24186470400], [[[1, 2], [2, 3], [4, 1], [5, 2], [6, 5]], 1/11943936000], [[[1, 2], [2, 3], [4, 1], [5, 3], [6, 3]], 1/93312000], [[[1, 2], [2, 3], [4, 1], [5, 3], [7, 1]], 1/1344000], [[[1, 2], [2, 3], [4, 1], [5, 3], [9, 1]], 1/1728000], [[[1, 2], [2, 3], [4, 1], [5, 3], [14, 1]], 1/672000], [[[1, 2], [2, 3], [4, 1], [5, 3], [18, 1]], 1/1296000], [[[1, 2], [2, 3], [4, 1], [5, 4], [6, 1]], 1/92160000], [[[1, 2], [2, 3], [4, 1], [6, 1], [8, 4]], 61/5242880], [[[1, 2], [2, 3], [4, 1], [6, 1], [10, 4]], 13/18432000], [[[1, 2], [2, 3], [4, 1], [6, 1], [12, 4]], 4549/955514880], [[[1, 2], [2, 3], [4, 1], [6, 1], [15, 2]], 1/230400], [[[1, 2], [2, 3], [4, 1], [6, 1], [16, 2]], 1/49152], [[[1, 2], [2, 3], [4, 1], [6, 1], [20, 2]], 1/61440], [[[1, 2], [2, 3], [4, 1], [6, 1], [24, 2]], 1/49152], [[[1, 2], [2, 3], [4, 1], [6, 1], [30, 2]], 1/230400], [[[1, 2], [2, 3], [4, 1], [6, 1], [40, 1]], 1/5120], [[[1, 2], [2, 3], [4, 1], [6, 1], [48, 1]], 1/6144], [[[1, 2], [2, 3], [4, 1], [6, 1], [60, 1]], 1/7680], [[[1, 2], [2, 3], [4, 1], [6, 3], [8, 3]], 1/3538944], [[[1, 2], [2, 3], [4, 1], [6, 3], [10, 3]], 1/93312000], [[[1, 2], [2, 3], [4, 1], [6, 3], [12, 3]], 5651/2579890176], [[[1, 2], [2, 3], [4, 1], [6, 3], [18, 2]], 1/746496], [[[1, 2], [2, 3], [4, 1], [6, 3], [28, 1]], 1/217728], [[[1, 2], [2, 3], [4, 1], [6, 3], [36, 1]], 1/279936], [[[1, 2], [2, 3], [4, 1], [6, 5], [8, 2]], 23/3822059520], [[[1, 2], [2, 3], [4, 1], [6, 5], [10, 2]], 11/3981312000], [[[1, 2], [2, 3], [4, 1], [6, 5], [12, 2]], 1517/17199267840], [[[1, 2], [2, 3], [4, 1], [6, 5], [15, 1]], 1/597196800], [[[1, 2], [2, 3], [4, 1], [6, 5], [20, 1]], 1/398131200], [[[1, 2], [2, 3], [4, 1], [6, 5], [24, 1]], 1/477757440], [[[1, 2], [2, 3], [4, 1], [6, 5], [30, 1]], 1/597196800], [[[1, 2], [2, 3], [4, 1], [6, 6], [18, 1]], 1/1074954240], [[[1, 2], [2, 3], [4, 1], [6, 7], [8, 1]], 11/77396705280], [[[1, 2], [2, 3], [4, 1], [6, 7], [10, 1]], 1/24186470400], [[[1, 2], [2, 3], [4, 1], [6, 7], [12, 1]], 113/464380231680], [[[1, 2], [2, 3], [4, 1], [7, 1], [8, 3]], 1/49152], [[[1, 2], [2, 3], [4, 1], [7, 1], [10, 3]], 1/1344000], [[[1, 2], [2, 3], [4, 1], [7, 1], [12, 3]], 1/165888], [[[1, 2], [2, 3], [4, 1], [7, 1], [14, 2]], 1/1568], [[[1, 2], [2, 3], [4, 1], [7, 1], [28, 1]], 1/3136], [[[1, 2], [2, 3], [4, 1], [7, 1], [36, 1]], 1/4032], [[[1, 2], [2, 3], [4, 1], [7, 2], [14, 1]], 1/3136], [[[1, 2], [2, 3], [4, 1], [8, 3], [9, 1]], 41/2654208], [[[1, 2], [2, 3], [4, 1], [8, 3], [14, 1]], 9/229376], [[[1, 2], [2, 3], [4, 1], [8, 3], [18, 1]], 1/49152], [[[1, 2], [2, 3], [4, 1], [9, 1], [10, 3]], 1/1728000], [[[1, 2], [2, 3], [4, 1], [9, 1], [12, 3]], 7/1492992], [[[1, 2], [2, 3], [4, 1], [9, 1], [18, 2]], 1/3888], [[[1, 2], [2, 3], [4, 1], [9, 1], [28, 1]], 1/4032], [[[1, 2], [2, 3], [4, 1], [9, 1], [36, 1]], 1/5184], [[[1, 2], [2, 3], [4, 1], [9, 2], [18, 1]], 1/5184], [[[1, 2], [2, 3], [4, 1], [10, 3], [14, 1]], 1/672000], [[[1, 2], [2, 3], [4, 1], [10, 3], [18, 1]], 1/1296000], [[[1, 2], [2, 3], [4, 1], [12, 3], [14, 1]], 1/82944], [[[1, 2], [2, 3], [4, 1], [12, 3], [18, 1]], 7/1119744], [[[1, 2], [2, 3], [4, 1], [14, 1], [28, 1]], 1/1568], [[[1, 2], [2, 3], [4, 1], [14, 1], [36, 1]], 1/2016], [[[1, 2], [2, 3], [4, 1], [18, 1], [28, 1]], 1/3024], [[[1, 2], [2, 3], [4, 1], [18, 1], [36, 1]], 1/3888], [[[1, 2], [2, 3], [4, 2], [5, 1], [8, 3]], 9/655360], [[[1, 2], [2, 3], [4, 2], [5, 1], [10, 3]], 11/1920000], [[[1, 2], [2, 3], [4, 2], [5, 1], [12, 3]], 49/9953280], [[[1, 2], [2, 3], [4, 2], [5, 1], [28, 1]], 3/8960], [[[1, 2], [2, 3], [4, 2], [5, 1], [36, 1]], 7/34560], [[[1, 2], [2, 3], [4, 2], [5, 2], [6, 4]], 37/22932357120], [[[1, 2], [2, 3], [4, 2], [5, 2], [8, 2]], 5393/707788800], [[[1, 2], [2, 3], [4, 2], [5, 2], [10, 2]], 9881/2211840000], [[[1, 2], [2, 3], [4, 2], [5, 2], [12, 2]], 2909/1061683200], [[[1, 2], [2, 3], [4, 2], [5, 2], [15, 1]], 121/22118400], [[[1, 2], [2, 3], [4, 2], [5, 2], [16, 1]], 1/153600], [[[1, 2], [2, 3], [4, 2], [5, 2], [20, 1]], 989/73728000], [[[1, 2], [2, 3], [4, 2], [5, 2], [24, 1]], 121/17694720], [[[1, 2], [2, 3], [4, 2], [5, 2], [30, 1]], 121/22118400], [[[1, 2], [2, 3], [4, 2], [5, 3], [8, 1]], 11/6144000], [[[1, 2], [2, 3], [4, 2], [5, 3], [10, 1]], 11/1920000], [[[1, 2], [2, 3], [4, 2], [5, 3], [12, 1]], 7/6912000], [[[1, 2], [2, 3], [4, 2], [6, 2], [8, 3]], 1/10616832], [[[1, 2], [2, 3], [4, 2], [6, 2], [10, 3]], 1/41472000], [[[1, 2], [2, 3], [4, 2], [6, 2], [12, 3]], 102895/13759414272], [[[1, 2], [2, 3], [4, 2], [6, 2], [18, 2]], 5/3981312], [[[1, 2], [2, 3], [4, 2], [6, 2], [28, 1]], 5/96768], [[[1, 2], [2, 3], [4, 2], [6, 2], [36, 1]], 5/373248], [[[1, 2], [2, 3], [4, 2], [6, 4], [8, 2]], 5137/183458856960], [[[1, 2], [2, 3], [4, 2], [6, 4], [10, 2]], 37/22932357120], [[[1, 2], [2, 3], [4, 2], [6, 4], [12, 2]], 91763/275188285440], [[[1, 2], [2, 3], [4, 2], [6, 4], [15, 1]], 349/28665446400], [[[1, 2], [2, 3], [4, 2], [6, 4], [16, 1]], 1/39813120], [[[1, 2], [2, 3], [4, 2], [6, 4], [20, 1]], 733/19110297600], [[[1, 2], [2, 3], [4, 2], [6, 4], [24, 1]], 349/22932357120], [[[1, 2], [2, 3], [4, 2], [6, 4], [30, 1]], 349/28665446400], [[[1, 2], [2, 3], [4, 2], [6, 5], [7, 1]], 1/2508226560], [[[1, 2], [2, 3], [4, 2], [6, 5], [9, 1]], 1/4837294080], [[[1, 2], [2, 3], [4, 2], [6, 5], [14, 1]], 1/5016453120], [[[1, 2], [2, 3], [4, 2], [6, 5], [18, 1]], 119/17199267840], [[[1, 2], [2, 3], [4, 2], [6, 6], [8, 1]], 1/8599633920], [[[1, 2], [2, 3], [4, 2], [6, 6], [10, 1]], 1/10749542400], [[[1, 2], [2, 3], [4, 2], [6, 6], [12, 1]], 18607/7430083706880], [[[1, 2], [2, 3], [4, 2], [7, 2], [12, 1]], 1/225792], [[[1, 2], [2, 3], [4, 2], [8, 1], [10, 3]], 11/6144000], [[[1, 2], [2, 3], [4, 2], [8, 1], [12, 3]], 587/23887872], [[[1, 2], [2, 3], [4, 2], [8, 1], [28, 1]], 5/5376], [[[1, 2], [2, 3], [4, 2], [8, 1], [36, 1]], 53/82944], [[[1, 2], [2, 3], [4, 2], [8, 2], [10, 2]], 5393/707788800], [[[1, 2], [2, 3], [4, 2], [8, 2], [12, 2]], 7121/339738624], [[[1, 2], [2, 3], [4, 2], [8, 2], [15, 1]], 4817/35389440], [[[1, 2], [2, 3], [4, 2], [8, 2], [16, 1]], 341/196608], [[[1, 2], [2, 3], [4, 2], [8, 2], [20, 1]], 17873/23592960], [[[1, 2], [2, 3], [4, 2], [8, 2], [24, 1]], 10363/9437184], [[[1, 2], [2, 3], [4, 2], [8, 2], [30, 1]], 4817/35389440], [[[1, 2], [2, 3], [4, 2], [8, 3], [10, 1]], 9/655360], [[[1, 2], [2, 3], [4, 2], [8, 3], [12, 1]], 239/5308416], [[[1, 2], [2, 3], [4, 2], [9, 2], [12, 1]], 1/373248], [[[1, 2], [2, 3], [4, 2], [10, 1], [12, 3]], 161/29859840], [[[1, 2], [2, 3], [4, 2], [10, 1], [28, 1]], 11/26880], [[[1, 2], [2, 3], [4, 2], [10, 1], [36, 1]], 23/103680], [[[1, 2], [2, 3], [4, 2], [10, 2], [12, 2]], 2909/1061683200], [[[1, 2], [2, 3], [4, 2], [10, 2], [15, 1]], 121/22118400], [[[1, 2], [2, 3], [4, 2], [10, 2], [16, 1]], 1/153600], [[[1, 2], [2, 3], [4, 2], [10, 2], [20, 1]], 989/73728000], [[[1, 2], [2, 3], [4, 2], [10, 2], [24, 1]], 121/17694720], [[[1, 2], [2, 3], [4, 2], [10, 2], [30, 1]], 121/22118400], [[[1, 2], [2, 3], [4, 2], [10, 3], [12, 1]], 23/20736000], [[[1, 2], [2, 3], [4, 2], [12, 1], [14, 2]], 1/75264], [[[1, 2], [2, 3], [4, 2], [12, 1], [18, 2]], 5/1119744], [[[1, 2], [2, 3], [4, 2], [12, 1], [28, 1]], 1/2688], [[[1, 2], [2, 3], [4, 2], [12, 1], [36, 1]], 221/663552], [[[1, 2], [2, 3], [4, 2], [12, 2], [15, 1]], 2333/53084160], [[[1, 2], [2, 3], [4, 2], [12, 2], [16, 1]], 17/73728], [[[1, 2], [2, 3], [4, 2], [12, 2], [20, 1]], 8861/35389440], [[[1, 2], [2, 3], [4, 2], [12, 2], [24, 1]], 11897/42467328], [[[1, 2], [2, 3], [4, 2], [12, 2], [30, 1]], 2333/53084160], [[[1, 2], [2, 3], [4, 2], [15, 1], [16, 1]], 1/7680], [[[1, 2], [2, 3], [4, 2], [15, 1], [20, 1]], 413/3686400], [[[1, 2], [2, 3], [4, 2], [15, 1], [24, 1]], 29/4423680], [[[1, 2], [2, 3], [4, 2], [15, 1], [30, 1]], 29/345600], [[[1, 2], [2, 3], [4, 2], [16, 1], [20, 1]], 1/5120], [[[1, 2], [2, 3], [4, 2], [16, 1], [24, 1]], 1/6144], [[[1, 2], [2, 3], [4, 2], [16, 1], [30, 1]], 1/7680], [[[1, 2], [2, 3], [4, 2], [20, 1], [24, 1]], 413/2949120], [[[1, 2], [2, 3], [4, 2], [20, 1], [30, 1]], 413/3686400], [[[1, 2], [2, 3], [4, 2], [24, 1], [30, 1]], 29/4423680], [[[1, 2], [2, 3], [4, 3], [5, 1], [6, 5]], 1/7166361600], [[[1, 2], [2, 3], [4, 3], [5, 2], [6, 3]], 1/1791590400], [[[1, 2], [2, 3], [4, 3], [5, 2], [7, 1]], 1/25804800], [[[1, 2], [2, 3], [4, 3], [5, 2], [9, 1]], 1/33177600], [[[1, 2], [2, 3], [4, 3], [5, 2], [14, 1]], 1/12902400], [[[1, 2], [2, 3], [4, 3], [5, 2], [18, 1]], 1/24883200], [[[1, 2], [2, 3], [4, 3], [5, 3], [6, 1]], 1/27648000], [[[1, 2], [2, 3], [4, 3], [6, 1], [8, 3]], 125/28311552], [[[1, 2], [2, 3], [4, 3], [6, 1], [10, 3]], 1/13824000], [[[1, 2], [2, 3], [4, 3], [6, 1], [12, 3]], 1211/47775744], [[[1, 2], [2, 3], [4, 3], [6, 1], [18, 2]], 1/2239488], [[[1, 2], [2, 3], [4, 3], [6, 1], [28, 1]], 5/32256], [[[1, 2], [2, 3], [4, 3], [6, 1], [36, 1]], 1/20736], [[[1, 2], [2, 3], [4, 3], [6, 3], [8, 2]], 49/573308928], [[[1, 2], [2, 3], [4, 3], [6, 3], [10, 2]], 1/1791590400], [[[1, 2], [2, 3], [4, 3], [6, 3], [12, 2]], 871/859963392], [[[1, 2], [2, 3], [4, 3], [6, 3], [15, 1]], 1/89579520], [[[1, 2], [2, 3], [4, 3], [6, 3], [16, 1]], 1/2985984], [[[1, 2], [2, 3], [4, 3], [6, 3], [20, 1]], 13/11943936], [[[1, 2], [2, 3], [4, 3], [6, 3], [24, 1]], 1/71663616], [[[1, 2], [2, 3], [4, 3], [6, 3], [30, 1]], 1/89579520], [[[1, 2], [2, 3], [4, 3], [6, 4], [7, 1]], 1/6688604160], [[[1, 2], [2, 3], [4, 3], [6, 4], [9, 1]], 1/8599633920], [[[1, 2], [2, 3], [4, 3], [6, 4], [14, 1]], 1/3344302080], [[[1, 2], [2, 3], [4, 3], [6, 4], [18, 1]], 41/6449725440], [[[1, 2], [2, 3], [4, 3], [6, 5], [8, 1]], 13/22932357120], [[[1, 2], [2, 3], [4, 3], [6, 5], [10, 1]], 1/3583180800], [[[1, 2], [2, 3], [4, 3], [6, 5], [12, 1]], 19/8599633920], [[[1, 2], [2, 3], [4, 3], [7, 1], [8, 2]], 7/1179648], [[[1, 2], [2, 3], [4, 3], [7, 1], [10, 2]], 1/25804800], [[[1, 2], [2, 3], [4, 3], [7, 1], [12, 2]], 55/1769472], [[[1, 2], [2, 3], [4, 3], [7, 1], [15, 1]], 1/1290240], [[[1, 2], [2, 3], [4, 3], [7, 1], [16, 1]], 1/43008], [[[1, 2], [2, 3], [4, 3], [7, 1], [20, 1]], 13/172032], [[[1, 2], [2, 3], [4, 3], [7, 1], [24, 1]], 1/1032192], [[[1, 2], [2, 3], [4, 3], [7, 1], [30, 1]], 1/1290240], [[[1, 2], [2, 3], [4, 3], [8, 2], [9, 1]], 49/10616832], [[[1, 2], [2, 3], [4, 3], [8, 2], [14, 1]], 7/589824], [[[1, 2], [2, 3], [4, 3], [8, 2], [18, 1]], 49/7962624], [[[1, 2], [2, 3], [4, 3], [9, 1], [10, 2]], 1/33177600], [[[1, 2], [2, 3], [4, 3], [9, 1], [12, 2]], 385/15925248], [[[1, 2], [2, 3], [4, 3], [9, 1], [15, 1]], 1/1658880], [[[1, 2], [2, 3], [4, 3], [9, 1], [16, 1]], 1/55296], [[[1, 2], [2, 3], [4, 3], [9, 1], [20, 1]], 13/221184], [[[1, 2], [2, 3], [4, 3], [9, 1], [24, 1]], 1/1327104], [[[1, 2], [2, 3], [4, 3], [9, 1], [30, 1]], 1/1658880], [[[1, 2], [2, 3], [4, 3], [10, 2], [14, 1]], 1/12902400], [[[1, 2], [2, 3], [4, 3], [10, 2], [18, 1]], 1/24883200], [[[1, 2], [2, 3], [4, 3], [12, 2], [14, 1]], 55/884736], [[[1, 2], [2, 3], [4, 3], [12, 2], [18, 1]], 385/11943936], [[[1, 2], [2, 3], [4, 3], [14, 1], [15, 1]], 1/645120], [[[1, 2], [2, 3], [4, 3], [14, 1], [16, 1]], 1/21504], [[[1, 2], [2, 3], [4, 3], [14, 1], [20, 1]], 13/86016], [[[1, 2], [2, 3], [4, 3], [14, 1], [24, 1]], 1/516096], [[[1, 2], [2, 3], [4, 3], [14, 1], [30, 1]], 1/645120], [[[1, 2], [2, 3], [4, 3], [15, 1], [18, 1]], 1/1244160], [[[1, 2], [2, 3], [4, 3], [16, 1], [18, 1]], 1/41472], [[[1, 2], [2, 3], [4, 3], [18, 1], [20, 1]], 13/165888], [[[1, 2], [2, 3], [4, 3], [18, 1], [24, 1]], 1/995328], [[[1, 2], [2, 3], [4, 3], [18, 1], [30, 1]], 1/1244160], [[[1, 2], [2, 3], [4, 4], [5, 1], [6, 4]], 121/1146617856000], [[[1, 2], [2, 3], [4, 4], [5, 1], [8, 2]], 6121/1415577600], [[[1, 2], [2, 3], [4, 4], [5, 1], [10, 2]], 121/4423680000], [[[1, 2], [2, 3], [4, 4], [5, 1], [12, 2]], 50041/2123366400], [[[1, 2], [2, 3], [4, 4], [5, 1], [15, 1]], 121/221184000], [[[1, 2], [2, 3], [4, 4], [5, 1], [16, 1]], 1/61440], [[[1, 2], [2, 3], [4, 4], [5, 1], [20, 1]], 1637/29491200], [[[1, 2], [2, 3], [4, 4], [5, 1], [24, 1]], 121/176947200], [[[1, 2], [2, 3], [4, 4], [5, 1], [30, 1]], 121/221184000], [[[1, 2], [2, 3], [4, 4], [5, 2], [6, 2]], 1/9555148800], [[[1, 2], [2, 3], [4, 4], [5, 2], [8, 1]], 13507/21233664000], [[[1, 2], [2, 3], [4, 4], [5, 2], [10, 1]], 73/2654208000], [[[1, 2], [2, 3], [4, 4], [5, 2], [12, 1]], 713/265420800], [[[1, 2], [2, 3], [4, 4], [6, 2], [8, 2]], 1241/15288238080], [[[1, 2], [2, 3], [4, 4], [6, 2], [10, 2]], 221/47775744000], [[[1, 2], [2, 3], [4, 4], [6, 2], [12, 2]], 9943/4586471424], [[[1, 2], [2, 3], [4, 4], [6, 2], [15, 1]], 1/477757440], [[[1, 2], [2, 3], [4, 4], [6, 2], [20, 1]], 77/63700992], [[[1, 2], [2, 3], [4, 4], [6, 2], [24, 1]], 1/382205952], [[[1, 2], [2, 3], [4, 4], [6, 2], [30, 1]], 1/477757440], [[[1, 2], [2, 3], [4, 4], [6, 3], [7, 1]], 1/4013162496], [[[1, 2], [2, 3], [4, 4], [6, 3], [9, 1]], 13/77396705280], [[[1, 2], [2, 3], [4, 4], [6, 3], [14, 1]], 1/2866544640], [[[1, 2], [2, 3], [4, 4], [6, 3], [18, 1]], 7/5159780352], [[[1, 2], [2, 3], [4, 4], [6, 4], [8, 1]], 14147/5503765708800], [[[1, 2], [2, 3], [4, 4], [6, 4], [10, 1]], 37/137594142720], [[[1, 2], [2, 3], [4, 4], [6, 4], [12, 1]], 241/34398535680], [[[1, 2], [2, 3], [4, 4], [7, 1], [9, 1]], 1/92897280], [[[1, 2], [2, 3], [4, 4], [7, 1], [14, 1]], 857/72253440], [[[1, 2], [2, 3], [4, 4], [7, 1], [18, 1]], 1/55738368], [[[1, 2], [2, 3], [4, 4], [8, 1], [10, 2]], 13507/21233664000], [[[1, 2], [2, 3], [4, 4], [8, 1], [12, 2]], 1722307/10192158720], [[[1, 2], [2, 3], [4, 4], [8, 1], [15, 1]], 13507/1061683200], [[[1, 2], [2, 3], [4, 4], [8, 1], [16, 1]], 589/5898240], [[[1, 2], [2, 3], [4, 4], [8, 1], [20, 1]], 5947/28311552], [[[1, 2], [2, 3], [4, 4], [8, 1], [24, 1]], 25027/849346560], [[[1, 2], [2, 3], [4, 4], [8, 1], [30, 1]], 13507/1061683200], [[[1, 2], [2, 3], [4, 4], [8, 2], [10, 1]], 3769/849346560], [[[1, 2], [2, 3], [4, 4], [8, 2], [12, 1]], 15353/84934656], [[[1, 2], [2, 3], [4, 4], [9, 1], [14, 1]], 1/39813120], [[[1, 2], [2, 3], [4, 4], [9, 1], [18, 1]], 9787/1074954240], [[[1, 2], [2, 3], [4, 4], [10, 1], [12, 2]], 31561/1274019840], [[[1, 2], [2, 3], [4, 4], [10, 1], [15, 1]], 73/132710400], [[[1, 2], [2, 3], [4, 4], [10, 1], [16, 1]], 1/61440], [[[1, 2], [2, 3], [4, 4], [10, 1], [20, 1]], 1013/17694720], [[[1, 2], [2, 3], [4, 4], [10, 1], [24, 1]], 73/106168320], [[[1, 2], [2, 3], [4, 4], [10, 1], [30, 1]], 73/132710400], [[[1, 2], [2, 3], [4, 4], [10, 2], [12, 1]], 713/265420800], [[[1, 2], [2, 3], [4, 4], [12, 1], [15, 1]], 137/13271040], [[[1, 2], [2, 3], [4, 4], [12, 1], [16, 1]], 13/147456], [[[1, 2], [2, 3], [4, 4], [12, 1], [20, 1]], 337/1769472], [[[1, 2], [2, 3], [4, 4], [12, 1], [24, 1]], 383/10616832], [[[1, 2], [2, 3], [4, 4], [12, 1], [30, 1]], 137/13271040], [[[1, 2], [2, 3], [4, 4], [14, 1], [18, 1]], 1/39813120], [[[1, 2], [2, 3], [4, 5], [5, 1], [6, 3]], 1/7166361600], [[[1, 2], [2, 3], [4, 5], [5, 1], [7, 1]], 1/103219200], [[[1, 2], [2, 3], [4, 5], [5, 1], [9, 1]], 1/132710400], [[[1, 2], [2, 3], [4, 5], [5, 1], [14, 1]], 1/51609600], [[[1, 2], [2, 3], [4, 5], [5, 1], [18, 1]], 1/99532800], [[[1, 2], [2, 3], [4, 5], [5, 2], [6, 1]], 23/10616832000], [[[1, 2], [2, 3], [4, 5], [6, 1], [8, 2]], 2921/3397386240], [[[1, 2], [2, 3], [4, 5], [6, 1], [10, 2]], 119/10616832000], [[[1, 2], [2, 3], [4, 5], [6, 1], [12, 2]], 8221/1698693120], [[[1, 2], [2, 3], [4, 5], [6, 1], [15, 1]], 23/530841600], [[[1, 2], [2, 3], [4, 5], [6, 1], [16, 1]], 1/884736], [[[1, 2], [2, 3], [4, 5], [6, 1], [20, 1]], 491/70778880], [[[1, 2], [2, 3], [4, 5], [6, 1], [24, 1]], 23/424673280], [[[1, 2], [2, 3], [4, 5], [6, 1], [30, 1]], 23/530841600], [[[1, 2], [2, 3], [4, 5], [6, 2], [18, 1]], 23/955514880], [[[1, 2], [2, 3], [4, 5], [6, 3], [8, 1]], 203/22932357120], [[[1, 2], [2, 3], [4, 5], [6, 3], [10, 1]], 1/7166361600], [[[1, 2], [2, 3], [4, 5], [6, 3], [12, 1]], 3341/137594142720], [[[1, 2], [2, 3], [4, 5], [7, 1], [8, 1]], 17/27525120], [[[1, 2], [2, 3], [4, 5], [7, 1], [10, 1]], 1/103219200], [[[1, 2], [2, 3], [4, 5], [7, 1], [12, 1]], 17/12386304], [[[1, 2], [2, 3], [4, 5], [8, 1], [9, 1]], 61/127401984], [[[1, 2], [2, 3], [4, 5], [8, 1], [14, 1]], 29/23592960], [[[1, 2], [2, 3], [4, 5], [8, 1], [18, 1]], 203/318504960], [[[1, 2], [2, 3], [4, 5], [9, 1], [10, 1]], 1/132710400], [[[1, 2], [2, 3], [4, 5], [9, 1], [12, 1]], 17/15925248], [[[1, 2], [2, 3], [4, 5], [10, 1], [14, 1]], 1/51609600], [[[1, 2], [2, 3], [4, 5], [10, 1], [18, 1]], 1/99532800], [[[1, 2], [2, 3], [4, 5], [12, 1], [14, 1]], 17/6193152], [[[1, 2], [2, 3], [4, 5], [12, 1], [18, 1]], 17/11943936], [[[1, 2], [2, 3], [4, 6], [5, 1], [8, 1]], 203/471859200], [[[1, 2], [2, 3], [4, 6], [5, 1], [10, 1]], 11/147456000], [[[1, 2], [2, 3], [4, 6], [5, 1], [12, 1]], 1549/1592524800], [[[1, 2], [2, 3], [4, 6], [6, 1], [7, 1]], 1/743178240], [[[1, 2], [2, 3], [4, 6], [6, 1], [9, 1]], 1/1433272320], [[[1, 2], [2, 3], [4, 6], [6, 1], [14, 1]], 1/1486356480], [[[1, 2], [2, 3], [4, 6], [6, 1], [18, 1]], 541/15288238080], [[[1, 2], [2, 3], [4, 6], [6, 2], [8, 1]], 1/2548039680], [[[1, 2], [2, 3], [4, 6], [6, 2], [10, 1]], 1/3185049600], [[[1, 2], [2, 3], [4, 6], [6, 2], [12, 1]], 5483/440301256704], [[[1, 2], [2, 3], [4, 6], [8, 1], [10, 1]], 203/471859200], [[[1, 2], [2, 3], [4, 6], [8, 1], [12, 1]], 39257/3822059520], [[[1, 2], [2, 3], [4, 6], [10, 1], [12, 1]], 937/955514880], [[[1, 2], [2, 3], [4, 7], [5, 1], [6, 1]], 1/2123366400], [[[1, 2], [2, 3], [4, 7], [6, 1], [8, 1]], 4433/142690222080], [[[1, 2], [2, 3], [4, 7], [6, 1], [10, 1]], 53/22295347200], [[[1, 2], [2, 3], [4, 7], [6, 1], [12, 1]], 4453/53508833280], [[[1, 2], [2, 3], [5, 1], [6, 2], [12, 3]], 1/13271040], [[[1, 2], [2, 3], [5, 1], [6, 2], [18, 2]], 1/933120], [[[1, 2], [2, 3], [5, 1], [6, 4], [8, 2]], 1/4777574400], [[[1, 2], [2, 3], [5, 1], [6, 4], [10, 2]], 1/14929920000], [[[1, 2], [2, 3], [5, 1], [6, 4], [12, 2]], 271/7166361600], [[[1, 2], [2, 3], [5, 1], [6, 4], [15, 1]], 1/746496000], [[[1, 2], [2, 3], [5, 1], [6, 4], [20, 1]], 1/497664000], [[[1, 2], [2, 3], [5, 1], [6, 4], [24, 1]], 1/597196800], [[[1, 2], [2, 3], [5, 1], [6, 4], [30, 1]], 1/746496000], [[[1, 2], [2, 3], [5, 1], [6, 5], [18, 1]], 1/1343692800], [[[1, 2], [2, 3], [5, 1], [6, 6], [12, 1]], 1/7166361600], [[[1, 2], [2, 3], [5, 1], [8, 2], [10, 2]], 1/18432000], [[[1, 2], [2, 3], [5, 1], [8, 2], [12, 2]], 1/8847360], [[[1, 2], [2, 3], [5, 1], [8, 2], [15, 1]], 1/921600], [[[1, 2], [2, 3], [5, 1], [8, 2], [20, 1]], 1/614400], [[[1, 2], [2, 3], [5, 1], [8, 2], [24, 1]], 11/245760], [[[1, 2], [2, 3], [5, 1], [8, 2], [30, 1]], 1/921600], [[[1, 2], [2, 3], [5, 1], [10, 2], [12, 2]], 1/27648000], [[[1, 2], [2, 3], [5, 1], [10, 2], [15, 1]], 1/2880000], [[[1, 2], [2, 3], [5, 1], [10, 2], [20, 1]], 1/1920000], [[[1, 2], [2, 3], [5, 1], [10, 2], [24, 1]], 1/2304000], [[[1, 2], [2, 3], [5, 1], [10, 2], [30, 1]], 1/2880000], [[[1, 2], [2, 3], [5, 1], [12, 1], [36, 1]], 1/17280], [[[1, 2], [2, 3], [5, 1], [12, 2], [15, 1]], 1/1382400], [[[1, 2], [2, 3], [5, 1], [12, 2], [20, 1]], 1/921600], [[[1, 2], [2, 3], [5, 1], [12, 2], [24, 1]], 13/1105920], [[[1, 2], [2, 3], [5, 1], [12, 2], [30, 1]], 1/1382400], [[[1, 2], [2, 3], [5, 1], [15, 1], [20, 1]], 1/96000], [[[1, 2], [2, 3], [5, 1], [15, 1], [24, 1]], 1/115200], [[[1, 2], [2, 3], [5, 1], [15, 1], [30, 1]], 1/9000], [[[1, 2], [2, 3], [5, 1], [20, 1], [24, 1]], 1/76800], [[[1, 2], [2, 3], [5, 1], [20, 1], [30, 1]], 1/96000], [[[1, 2], [2, 3], [5, 1], [24, 1], [30, 1]], 1/115200], [[[1, 2], [2, 3], [5, 2], [6, 2], [8, 2]], 41/199065600], [[[1, 2], [2, 3], [5, 2], [6, 2], [10, 2]], 1721/622080000], [[[1, 2], [2, 3], [5, 2], [6, 2], [12, 2]], 19/59719680], [[[1, 2], [2, 3], [5, 2], [6, 2], [15, 1]], 1/6220800], [[[1, 2], [2, 3], [5, 2], [6, 2], [20, 1]], 1/4147200], [[[1, 2], [2, 3], [5, 2], [6, 2], [24, 1]], 1/4976640], [[[1, 2], [2, 3], [5, 2], [6, 2], [30, 1]], 1/6220800], [[[1, 2], [2, 3], [5, 2], [6, 3], [7, 1]], 1/52254720], [[[1, 2], [2, 3], [5, 2], [6, 3], [9, 1]], 13/1007769600], [[[1, 2], [2, 3], [5, 2], [6, 3], [14, 1]], 1/37324800], [[[1, 2], [2, 3], [5, 2], [6, 3], [18, 1]], 7/67184640], [[[1, 2], [2, 3], [5, 2], [6, 4], [8, 1]], 647/71663616000], [[[1, 2], [2, 3], [5, 2], [6, 4], [10, 1]], 113/8957952000], [[[1, 2], [2, 3], [5, 2], [6, 4], [12, 1]], 1/35831808], [[[1, 2], [2, 3], [5, 2], [7, 1], [9, 1]], 1/1209600], [[[1, 2], [2, 3], [5, 2], [7, 1], [14, 1]], 17/940800], [[[1, 2], [2, 3], [5, 2], [7, 1], [18, 1]], 1/725760], [[[1, 2], [2, 3], [5, 2], [8, 1], [10, 2]], 2107/276480000], [[[1, 2], [2, 3], [5, 2], [8, 1], [12, 2]], 7/132710400], [[[1, 2], [2, 3], [5, 2], [8, 1], [15, 1]], 7/13824000], [[[1, 2], [2, 3], [5, 2], [8, 1], [16, 1]], 1/307200], [[[1, 2], [2, 3], [5, 2], [8, 1], [20, 1]], 7/9216000], [[[1, 2], [2, 3], [5, 2], [8, 1], [24, 1]], 7/11059200], [[[1, 2], [2, 3], [5, 2], [8, 1], [30, 1]], 7/13824000], [[[1, 2], [2, 3], [5, 2], [8, 2], [10, 1]], 1/11059200], [[[1, 2], [2, 3], [5, 2], [9, 1], [14, 1]], 1/518400], [[[1, 2], [2, 3], [5, 2], [9, 1], [18, 1]], 67/13996800], [[[1, 2], [2, 3], [5, 2], [10, 1], [12, 2]], 1/16588800], [[[1, 2], [2, 3], [5, 2], [10, 1], [15, 1]], 1/1728000], [[[1, 2], [2, 3], [5, 2], [10, 1], [20, 1]], 1/1152000], [[[1, 2], [2, 3], [5, 2], [10, 1], [24, 1]], 1/1382400], [[[1, 2], [2, 3], [5, 2], [10, 1], [30, 1]], 1/1728000], [[[1, 2], [2, 3], [5, 2], [14, 1], [18, 1]], 1/518400], [[[1, 2], [2, 3], [5, 3], [6, 1], [18, 1]], 1/5184000], [[[1, 2], [2, 3], [5, 3], [6, 2], [12, 1]], 1/27648000], [[[1, 2], [2, 3], [6, 1], [7, 1], [8, 3]], 1/516096], [[[1, 2], [2, 3], [6, 1], [7, 1], [10, 3]], 1/672000], [[[1, 2], [2, 3], [6, 1], [7, 1], [12, 3]], 5/2322432], [[[1, 2], [2, 3], [6, 1], [7, 1], [18, 2]], 5/326592], [[[1, 2], [2, 3], [6, 1], [7, 2], [18, 1]], 1/169344], [[[1, 2], [2, 3], [6, 1], [8, 3], [9, 1]], 1/663552], [[[1, 2], [2, 3], [6, 1], [8, 3], [14, 1]], 1/258048], [[[1, 2], [2, 3], [6, 1], [8, 3], [18, 1]], 23/7962624], [[[1, 2], [2, 3], [6, 1], [9, 1], [10, 3]], 7/7776000], [[[1, 2], [2, 3], [6, 1], [9, 1], [12, 3]], 13/8957952], [[[1, 2], [2, 3], [6, 1], [9, 1], [18, 2]], 67/1259712], [[[1, 2], [2, 3], [6, 1], [9, 2], [18, 1]], 1/279936], [[[1, 2], [2, 3], [6, 1], [10, 3], [14, 1]], 1/672000], [[[1, 2], [2, 3], [6, 1], [10, 3], [18, 1]], 19/15552000], [[[1, 2], [2, 3], [6, 1], [12, 3], [14, 1]], 1/331776], [[[1, 2], [2, 3], [6, 1], [12, 3], [18, 1]], 5/2985984], [[[1, 2], [2, 3], [6, 1], [14, 1], [18, 2]], 1/46656], [[[1, 2], [2, 3], [6, 1], [14, 2], [18, 1]], 1/56448], [[[1, 2], [2, 3], [6, 2], [7, 2], [12, 1]], 1/903168], [[[1, 2], [2, 3], [6, 2], [8, 1], [10, 3]], 1/1728000], [[[1, 2], [2, 3], [6, 2], [8, 1], [12, 3]], 71/63700992], [[[1, 2], [2, 3], [6, 2], [8, 1], [18, 2]], 13/1492992], [[[1, 2], [2, 3], [6, 2], [8, 2], [10, 2]], 257/199065600], [[[1, 2], [2, 3], [6, 2], [8, 2], [12, 2]], 131/95551488], [[[1, 2], [2, 3], [6, 2], [8, 2], [15, 1]], 41/9953280], [[[1, 2], [2, 3], [6, 2], [8, 2], [20, 1]], 41/6635520], [[[1, 2], [2, 3], [6, 2], [8, 2], [24, 1]], 67/2654208], [[[1, 2], [2, 3], [6, 2], [8, 2], [30, 1]], 41/9953280], [[[1, 2], [2, 3], [6, 2], [8, 3], [10, 1]], 1/552960], [[[1, 2], [2, 3], [6, 2], [8, 3], [12, 1]], 71/42467328], [[[1, 2], [2, 3], [6, 2], [9, 2], [12, 1]], 1/1492992], [[[1, 2], [2, 3], [6, 2], [10, 1], [12, 3]], 61/39813120], [[[1, 2], [2, 3], [6, 2], [10, 1], [18, 2]], 11/933120], [[[1, 2], [2, 3], [6, 2], [10, 2], [12, 2]], 311/298598400], [[[1, 2], [2, 3], [6, 2], [10, 2], [15, 1]], 221/31104000], [[[1, 2], [2, 3], [6, 2], [10, 2], [20, 1]], 221/20736000], [[[1, 2], [2, 3], [6, 2], [10, 2], [24, 1]], 221/24883200], [[[1, 2], [2, 3], [6, 2], [10, 2], [30, 1]], 221/31104000], [[[1, 2], [2, 3], [6, 2], [10, 3], [12, 1]], 61/82944000], [[[1, 2], [2, 3], [6, 2], [12, 1], [14, 2]], 1/301056], [[[1, 2], [2, 3], [6, 2], [12, 1], [18, 2]], 5/497664], [[[1, 2], [2, 3], [6, 2], [12, 1], [36, 1]], 5/186624], [[[1, 2], [2, 3], [6, 2], [12, 2], [15, 1]], 19/2985984], [[[1, 2], [2, 3], [6, 2], [12, 2], [20, 1]], 19/1990656], [[[1, 2], [2, 3], [6, 2], [12, 2], [24, 1]], 155/11943936], [[[1, 2], [2, 3], [6, 2], [12, 2], [30, 1]], 19/2985984], [[[1, 2], [2, 3], [6, 2], [15, 1], [20, 1]], 1/207360], [[[1, 2], [2, 3], [6, 2], [15, 1], [24, 1]], 1/248832], [[[1, 2], [2, 3], [6, 2], [15, 1], [30, 1]], 1/19440], [[[1, 2], [2, 3], [6, 2], [20, 1], [24, 1]], 1/165888], [[[1, 2], [2, 3], [6, 2], [20, 1], [30, 1]], 1/207360], [[[1, 2], [2, 3], [6, 2], [24, 1], [30, 1]], 1/248832], [[[1, 2], [2, 3], [6, 3], [7, 1], [8, 2]], 5/83607552], [[[1, 2], [2, 3], [6, 3], [7, 1], [10, 2]], 1/52254720], [[[1, 2], [2, 3], [6, 3], [7, 1], [12, 2]], 275/125411328], [[[1, 2], [2, 3], [6, 3], [7, 1], [15, 1]], 1/2612736], [[[1, 2], [2, 3], [6, 3], [7, 1], [20, 1]], 1/1741824], [[[1, 2], [2, 3], [6, 3], [7, 1], [24, 1]], 5/10450944], [[[1, 2], [2, 3], [6, 3], [7, 1], [30, 1]], 1/2612736], [[[1, 2], [2, 3], [6, 3], [8, 2], [9, 1]], 13/322486272], [[[1, 2], [2, 3], [6, 3], [8, 2], [14, 1]], 1/11943936], [[[1, 2], [2, 3], [6, 3], [8, 2], [18, 1]], 251/107495424], [[[1, 2], [2, 3], [6, 3], [9, 1], [10, 2]], 13/1007769600], [[[1, 2], [2, 3], [6, 3], [9, 1], [12, 2]], 715/483729408], [[[1, 2], [2, 3], [6, 3], [9, 1], [15, 1]], 13/50388480], [[[1, 2], [2, 3], [6, 3], [9, 1], [20, 1]], 13/33592320], [[[1, 2], [2, 3], [6, 3], [9, 1], [24, 1]], 13/40310784], [[[1, 2], [2, 3], [6, 3], [9, 1], [30, 1]], 13/50388480], [[[1, 2], [2, 3], [6, 3], [10, 2], [14, 1]], 1/37324800], [[[1, 2], [2, 3], [6, 3], [10, 2], [18, 1]], 1331/335923200], [[[1, 2], [2, 3], [6, 3], [12, 2], [14, 1]], 55/17915904], [[[1, 2], [2, 3], [6, 3], [12, 2], [18, 1]], 845/161243136], [[[1, 2], [2, 3], [6, 3], [14, 1], [15, 1]], 1/1866240], [[[1, 2], [2, 3], [6, 3], [14, 1], [20, 1]], 1/1244160], [[[1, 2], [2, 3], [6, 3], [14, 1], [24, 1]], 1/1492992], [[[1, 2], [2, 3], [6, 3], [14, 1], [30, 1]], 1/1866240], [[[1, 2], [2, 3], [6, 3], [15, 1], [18, 1]], 7/3359232], [[[1, 2], [2, 3], [6, 3], [18, 1], [20, 1]], 7/2239488], [[[1, 2], [2, 3], [6, 3], [18, 1], [24, 1]], 35/13436928], [[[1, 2], [2, 3], [6, 3], [18, 1], [30, 1]], 7/3359232], [[[1, 2], [2, 3], [6, 4], [7, 1], [9, 1]], 1/313528320], [[[1, 2], [2, 3], [6, 4], [7, 1], [14, 1]], 17/243855360], [[[1, 2], [2, 3], [6, 4], [7, 1], [18, 1]], 41/188116992], [[[1, 2], [2, 3], [6, 4], [8, 1], [10, 2]], 647/71663616000], [[[1, 2], [2, 3], [6, 4], [8, 1], [12, 2]], 37097/34398535680], [[[1, 2], [2, 3], [6, 4], [8, 1], [15, 1]], 647/3583180800], [[[1, 2], [2, 3], [6, 4], [8, 1], [16, 1]], 1/79626240], [[[1, 2], [2, 3], [6, 4], [8, 1], [20, 1]], 647/2388787200], [[[1, 2], [2, 3], [6, 4], [8, 1], [24, 1]], 647/2866544640], [[[1, 2], [2, 3], [6, 4], [8, 1], [30, 1]], 647/3583180800], [[[1, 2], [2, 3], [6, 4], [8, 2], [10, 1]], 113/2866544640], [[[1, 2], [2, 3], [6, 4], [8, 2], [12, 1]], 133/286654464], [[[1, 2], [2, 3], [6, 4], [9, 1], [14, 1]], 1/134369280], [[[1, 2], [2, 3], [6, 4], [9, 1], [18, 1]], 587/3627970560], [[[1, 2], [2, 3], [6, 4], [10, 1], [12, 2]], 6431/4299816960], [[[1, 2], [2, 3], [6, 4], [10, 1], [15, 1]], 113/447897600], [[[1, 2], [2, 3], [6, 4], [10, 1], [20, 1]], 113/298598400], [[[1, 2], [2, 3], [6, 4], [10, 1], [24, 1]], 113/358318080], [[[1, 2], [2, 3], [6, 4], [10, 1], [30, 1]], 113/447897600], [[[1, 2], [2, 3], [6, 4], [10, 2], [12, 1]], 673/895795200], [[[1, 2], [2, 3], [6, 4], [12, 1], [15, 1]], 5/8957952], [[[1, 2], [2, 3], [6, 4], [12, 1], [20, 1]], 5/5971968], [[[1, 2], [2, 3], [6, 4], [12, 1], [24, 1]], 25/35831808], [[[1, 2], [2, 3], [6, 4], [12, 1], [30, 1]], 5/8957952], [[[1, 2], [2, 3], [6, 4], [14, 1], [18, 1]], 41/134369280], [[[1, 2], [2, 3], [6, 5], [7, 1], [8, 1]], 1/418037760], [[[1, 2], [2, 3], [6, 5], [7, 1], [10, 1]], 1/174182400], [[[1, 2], [2, 3], [6, 5], [7, 1], [12, 1]], 11/250822656], [[[1, 2], [2, 3], [6, 5], [8, 1], [9, 1]], 1/537477120], [[[1, 2], [2, 3], [6, 5], [8, 1], [14, 1]], 1/209018880], [[[1, 2], [2, 3], [6, 5], [8, 1], [18, 1]], 221/2149908480], [[[1, 2], [2, 3], [6, 5], [9, 1], [10, 1]], 7/2015539200], [[[1, 2], [2, 3], [6, 5], [9, 1], [12, 1]], 143/4837294080], [[[1, 2], [2, 3], [6, 5], [10, 1], [14, 1]], 1/174182400], [[[1, 2], [2, 3], [6, 5], [10, 1], [18, 1]], 193/1343692800], [[[1, 2], [2, 3], [6, 5], [12, 1], [14, 1]], 11/179159040], [[[1, 2], [2, 3], [6, 5], [12, 1], [18, 1]], 37/107495424], [[[1, 2], [2, 3], [6, 6], [8, 1], [10, 1]], 1/447897600], [[[1, 2], [2, 3], [6, 6], [8, 1], [12, 1]], 79/3822059520], [[[1, 2], [2, 3], [6, 6], [10, 1], [12, 1]], 23/796262400], [[[1, 2], [2, 3], [7, 1], [8, 2], [9, 1]], 1/387072], [[[1, 2], [2, 3], [7, 1], [8, 2], [14, 1]], 17/301056], [[[1, 2], [2, 3], [7, 1], [8, 2], [18, 1]], 5/1161216], [[[1, 2], [2, 3], [7, 1], [9, 1], [10, 2]], 1/1209600], [[[1, 2], [2, 3], [7, 1], [9, 1], [12, 2]], 1/580608], [[[1, 2], [2, 3], [7, 1], [9, 1], [15, 1]], 1/60480], [[[1, 2], [2, 3], [7, 1], [9, 1], [20, 1]], 1/40320], [[[1, 2], [2, 3], [7, 1], [9, 1], [24, 1]], 1/48384], [[[1, 2], [2, 3], [7, 1], [9, 1], [30, 1]], 1/60480], [[[1, 2], [2, 3], [7, 1], [10, 2], [14, 1]], 17/940800], [[[1, 2], [2, 3], [7, 1], [10, 2], [18, 1]], 1/725760], [[[1, 2], [2, 3], [7, 1], [12, 2], [14, 1]], 17/451584], [[[1, 2], [2, 3], [7, 1], [12, 2], [18, 1]], 5/1741824], [[[1, 2], [2, 3], [7, 1], [14, 1], [15, 1]], 17/47040], [[[1, 2], [2, 3], [7, 1], [14, 1], [20, 1]], 17/31360], [[[1, 2], [2, 3], [7, 1], [14, 1], [24, 1]], 17/37632], [[[1, 2], [2, 3], [7, 1], [14, 1], [30, 1]], 17/47040], [[[1, 2], [2, 3], [7, 1], [15, 1], [18, 1]], 1/36288], [[[1, 2], [2, 3], [7, 1], [18, 1], [20, 1]], 1/24192], [[[1, 2], [2, 3], [7, 1], [18, 1], [24, 1]], 5/145152], [[[1, 2], [2, 3], [7, 1], [18, 1], [30, 1]], 1/36288], [[[1, 2], [2, 3], [8, 1], [10, 2], [12, 2]], 7/132710400], [[[1, 2], [2, 3], [8, 1], [10, 2], [15, 1]], 7/13824000], [[[1, 2], [2, 3], [8, 1], [10, 2], [16, 1]], 1/307200], [[[1, 2], [2, 3], [8, 1], [10, 2], [20, 1]], 7/9216000], [[[1, 2], [2, 3], [8, 1], [10, 2], [24, 1]], 7/11059200], [[[1, 2], [2, 3], [8, 1], [10, 2], [30, 1]], 7/13824000], [[[1, 2], [2, 3], [8, 1], [12, 1], [36, 1]], 7/82944], [[[1, 2], [2, 3], [8, 1], [12, 2], [15, 1]], 7/6635520], [[[1, 2], [2, 3], [8, 1], [12, 2], [16, 1]], 1/147456], [[[1, 2], [2, 3], [8, 1], [12, 2], [20, 1]], 7/4423680], [[[1, 2], [2, 3], [8, 1], [12, 2], [24, 1]], 91/5308416], [[[1, 2], [2, 3], [8, 1], [12, 2], [30, 1]], 7/6635520], [[[1, 2], [2, 3], [8, 1], [15, 1], [16, 1]], 1/15360], [[[1, 2], [2, 3], [8, 1], [15, 1], [20, 1]], 7/460800], [[[1, 2], [2, 3], [8, 1], [15, 1], [24, 1]], 7/552960], [[[1, 2], [2, 3], [8, 1], [15, 1], [30, 1]], 7/43200], [[[1, 2], [2, 3], [8, 1], [16, 1], [20, 1]], 1/10240], [[[1, 2], [2, 3], [8, 1], [16, 1], [24, 1]], 1/12288], [[[1, 2], [2, 3], [8, 1], [16, 1], [30, 1]], 1/15360], [[[1, 2], [2, 3], [8, 1], [20, 1], [24, 1]], 7/368640], [[[1, 2], [2, 3], [8, 1], [20, 1], [30, 1]], 7/460800], [[[1, 2], [2, 3], [8, 1], [24, 1], [30, 1]], 7/552960], [[[1, 2], [2, 3], [8, 2], [9, 1], [14, 1]], 1/165888], [[[1, 2], [2, 3], [8, 2], [9, 1], [18, 1]], 67/4478976], [[[1, 2], [2, 3], [8, 2], [10, 1], [12, 2]], 1/5308416], [[[1, 2], [2, 3], [8, 2], [10, 1], [15, 1]], 1/552960], [[[1, 2], [2, 3], [8, 2], [10, 1], [20, 1]], 1/368640], [[[1, 2], [2, 3], [8, 2], [10, 1], [24, 1]], 11/147456], [[[1, 2], [2, 3], [8, 2], [10, 1], [30, 1]], 1/552960], [[[1, 2], [2, 3], [8, 2], [14, 1], [18, 1]], 1/165888], [[[1, 2], [2, 3], [9, 1], [10, 2], [14, 1]], 1/518400], [[[1, 2], [2, 3], [9, 1], [10, 2], [18, 1]], 67/13996800], [[[1, 2], [2, 3], [9, 1], [12, 2], [14, 1]], 1/248832], [[[1, 2], [2, 3], [9, 1], [12, 2], [18, 1]], 67/6718464], [[[1, 2], [2, 3], [9, 1], [14, 1], [15, 1]], 1/25920], [[[1, 2], [2, 3], [9, 1], [14, 1], [20, 1]], 1/17280], [[[1, 2], [2, 3], [9, 1], [14, 1], [24, 1]], 1/20736], [[[1, 2], [2, 3], [9, 1], [14, 1], [30, 1]], 1/25920], [[[1, 2], [2, 3], [9, 1], [15, 1], [18, 1]], 67/699840], [[[1, 2], [2, 3], [9, 1], [18, 1], [20, 1]], 67/466560], [[[1, 2], [2, 3], [9, 1], [18, 1], [24, 1]], 67/559872], [[[1, 2], [2, 3], [9, 1], [18, 1], [30, 1]], 67/699840], [[[1, 2], [2, 3], [10, 1], [12, 1], [36, 1]], 1/10368], [[[1, 2], [2, 3], [10, 1], [12, 2], [15, 1]], 1/829440], [[[1, 2], [2, 3], [10, 1], [12, 2], [20, 1]], 1/552960], [[[1, 2], [2, 3], [10, 1], [12, 2], [24, 1]], 13/663552], [[[1, 2], [2, 3], [10, 1], [12, 2], [30, 1]], 1/829440], [[[1, 2], [2, 3], [10, 1], [15, 1], [20, 1]], 1/57600], [[[1, 2], [2, 3], [10, 1], [15, 1], [24, 1]], 1/69120], [[[1, 2], [2, 3], [10, 1], [15, 1], [30, 1]], 1/5400], [[[1, 2], [2, 3], [10, 1], [20, 1], [24, 1]], 1/46080], [[[1, 2], [2, 3], [10, 1], [20, 1], [30, 1]], 1/57600], [[[1, 2], [2, 3], [10, 1], [24, 1], [30, 1]], 1/69120], [[[1, 2], [2, 3], [10, 2], [14, 1], [18, 1]], 1/518400], [[[1, 2], [2, 3], [12, 2], [14, 1], [18, 1]], 1/248832], [[[1, 2], [2, 3], [14, 1], [15, 1], [18, 1]], 1/25920], [[[1, 2], [2, 3], [14, 1], [18, 1], [20, 1]], 1/17280], [[[1, 2], [2, 3], [14, 1], [18, 1], [24, 1]], 1/20736], [[[1, 2], [2, 3], [14, 1], [18, 1], [30, 1]], 1/25920], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 7]], 91/154793410560], [[[1, 2], [2, 5], [3, 1], [4, 2], [5, 3]], 31/663552000], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 6]], 11833/5572562780160], [[[1, 2], [2, 5], [3, 1], [4, 2], [8, 3]], 2677/339738624], [[[1, 2], [2, 5], [3, 1], [4, 2], [9, 2]], 5/26873856], [[[1, 2], [2, 5], [3, 1], [4, 2], [10, 3]], 31/829440000], [[[1, 2], [2, 5], [3, 1], [4, 2], [12, 3]], 563/1719926784], [[[1, 2], [2, 5], [3, 1], [4, 2], [14, 2]], 1/1806336], [[[1, 2], [2, 5], [3, 1], [4, 2], [18, 2]], 1/26873856], [[[1, 2], [2, 5], [3, 1], [4, 2], [28, 1]], 13/774144], [[[1, 2], [2, 5], [3, 1], [4, 2], [36, 1]], 37/2985984], [[[1, 2], [2, 5], [3, 1], [4, 3], [6, 5]], 911/137594142720], [[[1, 2], [2, 5], [3, 1], [4, 4], [5, 2]], 751/382205952000], [[[1, 2], [2, 5], [3, 1], [4, 4], [6, 4]], 959791/99067782758400], [[[1, 2], [2, 5], [3, 1], [4, 4], [8, 2]], 51823/122305904640], [[[1, 2], [2, 5], [3, 1], [4, 4], [10, 2]], 751/382205952000], [[[1, 2], [2, 5], [3, 1], [4, 4], [12, 2]], 300271/183458856960], [[[1, 2], [2, 5], [3, 1], [4, 4], [15, 1]], 751/19110297600], [[[1, 2], [2, 5], [3, 1], [4, 4], [16, 1]], 1/884736], [[[1, 2], [2, 5], [3, 1], [4, 4], [20, 1]], 9443/2548039680], [[[1, 2], [2, 5], [3, 1], [4, 4], [24, 1]], 751/15288238080], [[[1, 2], [2, 5], [3, 1], [4, 4], [30, 1]], 751/19110297600], [[[1, 2], [2, 5], [3, 1], [4, 5], [6, 3]], 6199/412782428160], [[[1, 2], [2, 5], [3, 1], [4, 5], [7, 1]], 1/1486356480], [[[1, 2], [2, 5], [3, 1], [4, 5], [9, 1]], 79/8493465600], [[[1, 2], [2, 5], [3, 1], [4, 5], [14, 1]], 1/185794560], [[[1, 2], [2, 5], [3, 1], [4, 5], [18, 1]], 1/573308928], [[[1, 2], [2, 5], [3, 1], [4, 6], [5, 1]], 31/50960793600], [[[1, 2], [2, 5], [3, 1], [4, 6], [6, 2]], 44731/550376570880], [[[1, 2], [2, 5], [3, 1], [4, 6], [8, 1]], 2521/81537269760], [[[1, 2], [2, 5], [3, 1], [4, 6], [10, 1]], 31/63700992000], [[[1, 2], [2, 5], [3, 1], [4, 6], [12, 1]], 18623/275188285440], [[[1, 2], [2, 5], [3, 1], [4, 7], [6, 1]], 209/285380444160], [[[1, 2], [2, 5], [3, 1], [5, 1], [6, 6]], 13/18139852800], [[[1, 2], [2, 5], [3, 1], [5, 1], [8, 3]], 1/8847360], [[[1, 2], [2, 5], [3, 1], [5, 1], [10, 3]], 1/7200000], [[[1, 2], [2, 5], [3, 1], [5, 1], [14, 2]], 1/47040], [[[1, 2], [2, 5], [3, 1], [5, 1], [18, 2]], 1/349920], [[[1, 2], [2, 5], [3, 1], [5, 2], [6, 4]], 18241/1289945088000], [[[1, 2], [2, 5], [3, 1], [5, 2], [8, 2]], 73/1592524800], [[[1, 2], [2, 5], [3, 1], [5, 2], [10, 2]], 301/4976640000], [[[1, 2], [2, 5], [3, 1], [5, 2], [12, 2]], 1/2388787200], [[[1, 2], [2, 5], [3, 1], [5, 2], [15, 1]], 1/248832000], [[[1, 2], [2, 5], [3, 1], [5, 2], [20, 1]], 1/165888000], [[[1, 2], [2, 5], [3, 1], [5, 2], [24, 1]], 1/199065600], [[[1, 2], [2, 5], [3, 1], [5, 2], [30, 1]], 1/248832000], [[[1, 2], [2, 5], [3, 1], [5, 3], [6, 2]], 1/23328000], [[[1, 2], [2, 5], [3, 1], [5, 3], [8, 1]], 1/27648000], [[[1, 2], [2, 5], [3, 1], [5, 3], [10, 1]], 1/7200000], [[[1, 2], [2, 5], [3, 1], [6, 2], [8, 3]], 209/382205952], [[[1, 2], [2, 5], [3, 1], [6, 2], [9, 2]], 11/15116544], [[[1, 2], [2, 5], [3, 1], [6, 2], [10, 3]], 377/622080000], [[[1, 2], [2, 5], [3, 1], [6, 2], [12, 3]], 15907/3439853568], [[[1, 2], [2, 5], [3, 1], [6, 2], [14, 2]], 5/1354752], [[[1, 2], [2, 5], [3, 1], [6, 2], [18, 2]], 143/26873856], [[[1, 2], [2, 5], [3, 1], [6, 4], [8, 2]], 52873/412782428160], [[[1, 2], [2, 5], [3, 1], [6, 4], [10, 2]], 1055041/1289945088000], [[[1, 2], [2, 5], [3, 1], [6, 4], [12, 2]], 751951/619173642240], [[[1, 2], [2, 5], [3, 1], [6, 4], [15, 1]], 18241/64497254400], [[[1, 2], [2, 5], [3, 1], [6, 4], [20, 1]], 18241/42998169600], [[[1, 2], [2, 5], [3, 1], [6, 4], [24, 1]], 29761/51597803520], [[[1, 2], [2, 5], [3, 1], [6, 4], [30, 1]], 18241/64497254400], [[[1, 2], [2, 5], [3, 1], [6, 5], [7, 1]], 11/1254113280], [[[1, 2], [2, 5], [3, 1], [6, 5], [9, 1]], 6797/290237644800], [[[1, 2], [2, 5], [3, 1], [6, 5], [14, 1]], 89/1881169920], [[[1, 2], [2, 5], [3, 1], [6, 5], [18, 1]], 753227/38698352640], [[[1, 2], [2, 5], [3, 1], [6, 6], [8, 1]], 5507/928760463360], [[[1, 2], [2, 5], [3, 1], [6, 6], [10, 1]], 3577/161243136000], [[[1, 2], [2, 5], [3, 1], [6, 6], [12, 1]], 239017/5572562780160], [[[1, 2], [2, 5], [3, 1], [8, 1], [9, 2]], 1/1492992], [[[1, 2], [2, 5], [3, 1], [8, 1], [10, 3]], 11/69120000], [[[1, 2], [2, 5], [3, 1], [8, 1], [12, 3]], 1/10616832], [[[1, 2], [2, 5], [3, 1], [8, 1], [14, 2]], 1/50176], [[[1, 2], [2, 5], [3, 1], [8, 1], [18, 2]], 7/2239488], [[[1, 2], [2, 5], [3, 1], [8, 2], [10, 2]], 73/1592524800], [[[1, 2], [2, 5], [3, 1], [8, 2], [12, 2]], 73/764411904], [[[1, 2], [2, 5], [3, 1], [8, 2], [15, 1]], 73/79626240], [[[1, 2], [2, 5], [3, 1], [8, 2], [20, 1]], 73/53084160], [[[1, 2], [2, 5], [3, 1], [8, 2], [24, 1]], 35/21233664], [[[1, 2], [2, 5], [3, 1], [8, 2], [30, 1]], 73/79626240], [[[1, 2], [2, 5], [3, 1], [8, 3], [10, 1]], 11/22118400], [[[1, 2], [2, 5], [3, 1], [8, 3], [12, 1]], 1/7077888], [[[1, 2], [2, 5], [3, 1], [9, 2], [10, 1]], 17/6998400], [[[1, 2], [2, 5], [3, 1], [10, 1], [12, 3]], 17/49766400], [[[1, 2], [2, 5], [3, 1], [10, 2], [12, 2]], 1/2388787200], [[[1, 2], [2, 5], [3, 1], [10, 2], [15, 1]], 1/248832000], [[[1, 2], [2, 5], [3, 1], [10, 2], [20, 1]], 1/165888000], [[[1, 2], [2, 5], [3, 1], [10, 2], [24, 1]], 1/199065600], [[[1, 2], [2, 5], [3, 1], [10, 2], [30, 1]], 1/248832000], [[[1, 2], [2, 5], [3, 1], [10, 3], [12, 1]], 17/103680000], [[[1, 2], [2, 5], [3, 1], [12, 1], [14, 2]], 5/225792], [[[1, 2], [2, 5], [3, 1], [12, 1], [18, 2]], 11/3359232], [[[1, 2], [2, 5], [3, 1], [12, 1], [36, 1]], 1/1492992], [[[1, 2], [2, 5], [3, 1], [12, 2], [15, 1]], 1/119439360], [[[1, 2], [2, 5], [3, 1], [12, 2], [20, 1]], 1/79626240], [[[1, 2], [2, 5], [3, 1], [12, 2], [24, 1]], 13/95551488], [[[1, 2], [2, 5], [3, 1], [12, 2], [30, 1]], 1/119439360], [[[1, 2], [2, 5], [3, 1], [15, 1], [20, 1]], 1/8294400], [[[1, 2], [2, 5], [3, 1], [15, 1], [24, 1]], 1/9953280], [[[1, 2], [2, 5], [3, 1], [15, 1], [30, 1]], 1/777600], [[[1, 2], [2, 5], [3, 1], [20, 1], [24, 1]], 1/6635520], [[[1, 2], [2, 5], [3, 1], [20, 1], [30, 1]], 1/8294400], [[[1, 2], [2, 5], [3, 1], [24, 1], [30, 1]], 1/9953280], [[[1, 2], [2, 5], [3, 2], [4, 1], [5, 3]], 1/41472000], [[[1, 2], [2, 5], [3, 2], [4, 1], [6, 6]], 12967/2751882854400], [[[1, 2], [2, 5], [3, 2], [4, 1], [8, 3]], 43/42467328], [[[1, 2], [2, 5], [3, 2], [4, 1], [9, 2]], 101/179159040], [[[1, 2], [2, 5], [3, 2], [4, 1], [12, 3]], 181/2548039680], [[[1, 2], [2, 5], [3, 2], [4, 2], [6, 5]], 212141/1651129712640], [[[1, 2], [2, 5], [3, 2], [4, 3], [6, 4]], 1061/20639121408], [[[1, 2], [2, 5], [3, 2], [4, 3], [12, 2]], 427/1274019840], [[[1, 2], [2, 5], [3, 2], [4, 4], [6, 3]], 13213441/8255648563200], [[[1, 2], [2, 5], [3, 2], [4, 4], [9, 1]], 751/34398535680], [[[1, 2], [2, 5], [3, 2], [4, 4], [14, 1]], 1/743178240], [[[1, 2], [2, 5], [3, 2], [4, 4], [18, 1]], 1/2866544640], [[[1, 2], [2, 5], [3, 2], [4, 5], [5, 1]], 1/3185049600], [[[1, 2], [2, 5], [3, 2], [4, 5], [6, 2]], 5717/815372697600], [[[1, 2], [2, 5], [3, 2], [4, 5], [8, 1]], 7/10192158720], [[[1, 2], [2, 5], [3, 2], [4, 5], [12, 1]], 277/135895449600], [[[1, 2], [2, 5], [3, 2], [4, 6], [6, 1]], 413/163074539520], [[[1, 2], [2, 5], [3, 2], [5, 1], [6, 5]], 11/2388787200], [[[1, 2], [2, 5], [3, 2], [5, 2], [6, 3]], 4651/107495424000], [[[1, 2], [2, 5], [3, 2], [5, 2], [9, 1]], 1/447897600], [[[1, 2], [2, 5], [3, 2], [5, 2], [14, 1]], 1/387072], [[[1, 2], [2, 5], [3, 2], [5, 2], [18, 1]], 1/1492992], [[[1, 2], [2, 5], [3, 2], [5, 3], [6, 1]], 1/9216000], [[[1, 2], [2, 5], [3, 2], [6, 1], [7, 2]], 1/2709504], [[[1, 2], [2, 5], [3, 2], [6, 1], [8, 3]], 29/63700992], [[[1, 2], [2, 5], [3, 2], [6, 1], [9, 2]], 211/100776960], [[[1, 2], [2, 5], [3, 2], [6, 1], [10, 3]], 59/622080000], [[[1, 2], [2, 5], [3, 2], [6, 1], [12, 3]], 3017/2866544640], [[[1, 2], [2, 5], [3, 2], [6, 1], [14, 2]], 1/225792], [[[1, 2], [2, 5], [3, 2], [6, 1], [18, 2]], 1/839808], [[[1, 2], [2, 5], [3, 2], [6, 3], [8, 2]], 9031/34398535680], [[[1, 2], [2, 5], [3, 2], [6, 3], [10, 2]], 122923/107495424000], [[[1, 2], [2, 5], [3, 2], [6, 3], [12, 2]], 74701/51597803520], [[[1, 2], [2, 5], [3, 2], [6, 3], [15, 1]], 3691/5374771200], [[[1, 2], [2, 5], [3, 2], [6, 3], [20, 1]], 3691/3583180800], [[[1, 2], [2, 5], [3, 2], [6, 3], [24, 1]], 7363/4299816960], [[[1, 2], [2, 5], [3, 2], [6, 3], [30, 1]], 3691/5374771200], [[[1, 2], [2, 5], [3, 2], [6, 4], [7, 1]], 5/94058496], [[[1, 2], [2, 5], [3, 2], [6, 4], [9, 1]], 940667/38698352640], [[[1, 2], [2, 5], [3, 2], [6, 4], [14, 1]], 1913/7524679680], [[[1, 2], [2, 5], [3, 2], [6, 4], [18, 1]], 702121/4837294080], [[[1, 2], [2, 5], [3, 2], [6, 5], [8, 1]], 191/5733089280], [[[1, 2], [2, 5], [3, 2], [6, 5], [10, 1]], 2161/17915904000], [[[1, 2], [2, 5], [3, 2], [6, 5], [12, 1]], 227987/1547934105600], [[[1, 2], [2, 5], [3, 2], [8, 2], [9, 1]], 73/143327232], [[[1, 2], [2, 5], [3, 2], [8, 2], [14, 1]], 13/3096576], [[[1, 2], [2, 5], [3, 2], [8, 2], [18, 1]], 13/11943936], [[[1, 2], [2, 5], [3, 2], [9, 1], [10, 2]], 1/447897600], [[[1, 2], [2, 5], [3, 2], [9, 1], [12, 2]], 1/214990848], [[[1, 2], [2, 5], [3, 2], [9, 1], [15, 1]], 1/22394880], [[[1, 2], [2, 5], [3, 2], [9, 1], [20, 1]], 1/14929920], [[[1, 2], [2, 5], [3, 2], [9, 1], [24, 1]], 1/17915904], [[[1, 2], [2, 5], [3, 2], [9, 1], [30, 1]], 1/22394880], [[[1, 2], [2, 5], [3, 2], [10, 2], [14, 1]], 1/9676800], [[[1, 2], [2, 5], [3, 2], [10, 2], [18, 1]], 1/37324800], [[[1, 2], [2, 5], [3, 2], [12, 2], [14, 1]], 19/4644864], [[[1, 2], [2, 5], [3, 2], [12, 2], [18, 1]], 19/17915904], [[[1, 2], [2, 5], [3, 2], [14, 1], [15, 1]], 1/483840], [[[1, 2], [2, 5], [3, 2], [14, 1], [20, 1]], 1/322560], [[[1, 2], [2, 5], [3, 2], [14, 1], [24, 1]], 1/387072], [[[1, 2], [2, 5], [3, 2], [14, 1], [30, 1]], 1/483840], [[[1, 2], [2, 5], [3, 2], [15, 1], [18, 1]], 1/1866240], [[[1, 2], [2, 5], [3, 2], [18, 1], [20, 1]], 1/1244160], [[[1, 2], [2, 5], [3, 2], [18, 1], [24, 1]], 1/1492992], [[[1, 2], [2, 5], [3, 2], [18, 1], [30, 1]], 1/1866240], [[[1, 2], [2, 5], [3, 3], [4, 1], [6, 5]], 44041/154793410560], [[[1, 2], [2, 5], [3, 3], [4, 2], [5, 2]], 1/4299816960], [[[1, 2], [2, 5], [3, 3], [4, 2], [6, 4]], 683075/1114512556032], [[[1, 2], [2, 5], [3, 3], [4, 2], [8, 2]], 869/6879707136], [[[1, 2], [2, 5], [3, 3], [4, 2], [10, 2]], 1/4299816960], [[[1, 2], [2, 5], [3, 3], [4, 2], [12, 2]], 1607/10319560704], [[[1, 2], [2, 5], [3, 3], [4, 2], [15, 1]], 1/214990848], [[[1, 2], [2, 5], [3, 3], [4, 2], [20, 1]], 1/143327232], [[[1, 2], [2, 5], [3, 3], [4, 2], [24, 1]], 5/859963392], [[[1, 2], [2, 5], [3, 3], [4, 2], [30, 1]], 1/214990848], [[[1, 2], [2, 5], [3, 3], [4, 3], [6, 3]], 17095/123834728448], [[[1, 2], [2, 5], [3, 3], [4, 3], [14, 1]], 1/111476736], [[[1, 2], [2, 5], [3, 3], [4, 3], [18, 1]], 1/429981696], [[[1, 2], [2, 5], [3, 3], [4, 4], [6, 2]], 331985/5944066965504], [[[1, 2], [2, 5], [3, 3], [4, 4], [8, 1]], 181/91729428480], [[[1, 2], [2, 5], [3, 3], [4, 4], [10, 1]], 17/429981696000], [[[1, 2], [2, 5], [3, 3], [4, 4], [12, 1]], 9959/1651129712640], [[[1, 2], [2, 5], [3, 3], [4, 5], [6, 1]], 31/45864714240], [[[1, 2], [2, 5], [3, 3], [5, 1], [6, 4]], 1/40310784], [[[1, 2], [2, 5], [3, 3], [5, 2], [6, 2]], 4223/77396705280], [[[1, 2], [2, 5], [3, 3], [5, 2], [8, 1]], 1/1194393600], [[[1, 2], [2, 5], [3, 3], [5, 2], [10, 1]], 17/5598720000], [[[1, 2], [2, 5], [3, 3], [5, 2], [12, 1]], 1/2388787200], [[[1, 2], [2, 5], [3, 3], [6, 2], [8, 2]], 116371/123834728448], [[[1, 2], [2, 5], [3, 3], [6, 2], [10, 2]], 2227/15479341056], [[[1, 2], [2, 5], [3, 3], [6, 2], [12, 2]], 351181/185752092672], [[[1, 2], [2, 5], [3, 3], [6, 2], [15, 1]], 4223/3869835264], [[[1, 2], [2, 5], [3, 3], [6, 2], [20, 1]], 4223/2579890176], [[[1, 2], [2, 5], [3, 3], [6, 2], [24, 1]], 54163/15479341056], [[[1, 2], [2, 5], [3, 3], [6, 2], [30, 1]], 4223/3869835264], [[[1, 2], [2, 5], [3, 3], [6, 3], [7, 1]], 163/1128701952], [[[1, 2], [2, 5], [3, 3], [6, 3], [9, 1]], 14333/29023764480], [[[1, 2], [2, 5], [3, 3], [6, 3], [14, 1]], 3329/1693052928], [[[1, 2], [2, 5], [3, 3], [6, 3], [18, 1]], 124433/104485552128], [[[1, 2], [2, 5], [3, 3], [6, 4], [8, 1]], 35291/309586821120], [[[1, 2], [2, 5], [3, 3], [6, 4], [10, 1]], 1345387/1451188224000], [[[1, 2], [2, 5], [3, 3], [6, 4], [12, 1]], 3399539/5572562780160], [[[1, 2], [2, 5], [3, 3], [7, 1], [14, 1]], 1/4064256], [[[1, 2], [2, 5], [3, 3], [7, 1], [18, 1]], 1/15676416], [[[1, 2], [2, 5], [3, 3], [8, 1], [10, 2]], 1/1194393600], [[[1, 2], [2, 5], [3, 3], [8, 1], [12, 2]], 55/573308928], [[[1, 2], [2, 5], [3, 3], [8, 1], [15, 1]], 1/59719680], [[[1, 2], [2, 5], [3, 3], [8, 1], [20, 1]], 1/39813120], [[[1, 2], [2, 5], [3, 3], [8, 1], [24, 1]], 1/47775744], [[[1, 2], [2, 5], [3, 3], [8, 1], [30, 1]], 1/59719680], [[[1, 2], [2, 5], [3, 3], [8, 2], [10, 1]], 17/1791590400], [[[1, 2], [2, 5], [3, 3], [8, 2], [12, 1]], 73/764411904], [[[1, 2], [2, 5], [3, 3], [9, 1], [14, 1]], 1/746496], [[[1, 2], [2, 5], [3, 3], [9, 1], [18, 1]], 7/20155392], [[[1, 2], [2, 5], [3, 3], [10, 1], [12, 2]], 187/537477120], [[[1, 2], [2, 5], [3, 3], [10, 1], [15, 1]], 17/279936000], [[[1, 2], [2, 5], [3, 3], [10, 1], [20, 1]], 17/186624000], [[[1, 2], [2, 5], [3, 3], [10, 1], [24, 1]], 17/223948800], [[[1, 2], [2, 5], [3, 3], [10, 1], [30, 1]], 17/279936000], [[[1, 2], [2, 5], [3, 3], [10, 2], [12, 1]], 1/2388787200], [[[1, 2], [2, 5], [3, 3], [12, 1], [15, 1]], 1/119439360], [[[1, 2], [2, 5], [3, 3], [12, 1], [20, 1]], 1/79626240], [[[1, 2], [2, 5], [3, 3], [12, 1], [24, 1]], 1/95551488], [[[1, 2], [2, 5], [3, 3], [12, 1], [30, 1]], 1/119439360], [[[1, 2], [2, 5], [3, 3], [14, 1], [18, 1]], 1/2939328], [[[1, 2], [2, 5], [3, 4], [4, 1], [5, 2]], 1621/2866544640000], [[[1, 2], [2, 5], [3, 4], [4, 1], [6, 4]], 550193231/743008370688000], [[[1, 2], [2, 5], [3, 4], [4, 1], [8, 2]], 31441/917294284800], [[[1, 2], [2, 5], [3, 4], [4, 1], [10, 2]], 3733/2866544640000], [[[1, 2], [2, 5], [3, 4], [4, 1], [12, 2]], 93691/1375941427200], [[[1, 2], [2, 5], [3, 4], [4, 1], [15, 1]], 1621/143327232000], [[[1, 2], [2, 5], [3, 4], [4, 1], [20, 1]], 1621/95551488000], [[[1, 2], [2, 5], [3, 4], [4, 1], [24, 1]], 1621/114661785600], [[[1, 2], [2, 5], [3, 4], [4, 1], [30, 1]], 1621/143327232000], [[[1, 2], [2, 5], [3, 4], [4, 2], [6, 3]], 18582221/14860167413760], [[[1, 2], [2, 5], [3, 4], [4, 2], [7, 1]], 1/11466178560], [[[1, 2], [2, 5], [3, 4], [4, 2], [9, 1]], 41/15479341056], [[[1, 2], [2, 5], [3, 4], [4, 2], [14, 1]], 187/160526499840], [[[1, 2], [2, 5], [3, 4], [4, 2], [18, 1]], 71/206391214080], [[[1, 2], [2, 5], [3, 4], [4, 3], [5, 1]], 13/229323571200], [[[1, 2], [2, 5], [3, 4], [4, 3], [6, 2]], 4831/619173642240], [[[1, 2], [2, 5], [3, 4], [4, 3], [8, 1]], 313/733835427840], [[[1, 2], [2, 5], [3, 4], [4, 3], [10, 1]], 109/1146617856000], [[[1, 2], [2, 5], [3, 4], [4, 3], [12, 1]], 3307/687970713600], [[[1, 2], [2, 5], [3, 4], [4, 4], [6, 1]], 36467/247669456896000], [[[1, 2], [2, 5], [3, 4], [5, 1], [6, 3]], 19/265420800], [[[1, 2], [2, 5], [3, 4], [5, 1], [14, 1]], 1/8601600], [[[1, 2], [2, 5], [3, 4], [5, 1], [18, 1]], 1/33177600], [[[1, 2], [2, 5], [3, 4], [5, 2], [6, 1]], 277217/3224862720000], [[[1, 2], [2, 5], [3, 4], [6, 1], [8, 2]], 147797/1031956070400], [[[1, 2], [2, 5], [3, 4], [6, 1], [10, 2]], 23201/3224862720000], [[[1, 2], [2, 5], [3, 4], [6, 1], [12, 2]], 713807/1547934105600], [[[1, 2], [2, 5], [3, 4], [6, 1], [15, 1]], 18017/161243136000], [[[1, 2], [2, 5], [3, 4], [6, 1], [20, 1]], 18017/107495424000], [[[1, 2], [2, 5], [3, 4], [6, 1], [24, 1]], 18017/128994508800], [[[1, 2], [2, 5], [3, 4], [6, 1], [30, 1]], 18017/161243136000], [[[1, 2], [2, 5], [3, 4], [6, 2], [7, 1]], 271/2821754880], [[[1, 2], [2, 5], [3, 4], [6, 2], [9, 1]], 117499/174142586880], [[[1, 2], [2, 5], [3, 4], [6, 2], [14, 1]], 457/1410877440], [[[1, 2], [2, 5], [3, 4], [6, 2], [18, 1]], 55037/290237644800], [[[1, 2], [2, 5], [3, 4], [6, 3], [8, 1]], 65939/464380231680], [[[1, 2], [2, 5], [3, 4], [6, 3], [10, 1]], 242879/1451188224000], [[[1, 2], [2, 5], [3, 4], [6, 3], [12, 1]], 407227/1547934105600], [[[1, 2], [2, 5], [3, 4], [7, 1], [8, 1]], 1/3344302080], [[[1, 2], [2, 5], [3, 4], [7, 1], [10, 1]], 1/870912000], [[[1, 2], [2, 5], [3, 4], [8, 1], [9, 1]], 41/4299816960], [[[1, 2], [2, 5], [3, 4], [8, 1], [14, 1]], 61/418037760], [[[1, 2], [2, 5], [3, 4], [8, 1], [18, 1]], 49/1289945088], [[[1, 2], [2, 5], [3, 4], [9, 1], [10, 1]], 697/20155392000], [[[1, 2], [2, 5], [3, 4], [9, 1], [12, 1]], 1/214990848], [[[1, 2], [2, 5], [3, 4], [10, 1], [14, 1]], 1/290304000], [[[1, 2], [2, 5], [3, 4], [10, 1], [18, 1]], 29/20155392000], [[[1, 2], [2, 5], [3, 4], [12, 1], [14, 1]], 5/13934592], [[[1, 2], [2, 5], [3, 4], [12, 1], [18, 1]], 5/53747712], [[[1, 2], [2, 5], [3, 5], [4, 1], [6, 3]], 54529/1393140695040], [[[1, 2], [2, 5], [3, 5], [4, 1], [7, 1]], 1/5016453120], [[[1, 2], [2, 5], [3, 5], [4, 1], [9, 1]], 1661/257989017600], [[[1, 2], [2, 5], [3, 5], [4, 1], [14, 1]], 1/627056640], [[[1, 2], [2, 5], [3, 5], [4, 1], [18, 1]], 1/1934917632], [[[1, 2], [2, 5], [3, 5], [4, 2], [5, 1]], 31/171992678400], [[[1, 2], [2, 5], [3, 5], [4, 2], [6, 2]], 5161/1857520926720], [[[1, 2], [2, 5], [3, 5], [4, 2], [8, 1]], 217/275188285440], [[[1, 2], [2, 5], [3, 5], [4, 2], [10, 1]], 31/214990848000], [[[1, 2], [2, 5], [3, 5], [4, 2], [12, 1]], 239/309586821120], [[[1, 2], [2, 5], [3, 5], [4, 3], [6, 1]], 173/412782428160], [[[1, 2], [2, 5], [3, 5], [5, 1], [6, 2]], 271/6046617600], [[[1, 2], [2, 5], [3, 5], [5, 1], [8, 1]], 1/7166361600], [[[1, 2], [2, 5], [3, 5], [5, 1], [10, 1]], 1/1866240000], [[[1, 2], [2, 5], [3, 5], [6, 1], [7, 1]], 11/1254113280], [[[1, 2], [2, 5], [3, 5], [6, 1], [9, 1]], 19997/290237644800], [[[1, 2], [2, 5], [3, 5], [6, 1], [14, 1]], 89/1881169920], [[[1, 2], [2, 5], [3, 5], [6, 1], [18, 1]], 217/12899450880], [[[1, 2], [2, 5], [3, 5], [6, 2], [8, 1]], 16859/309586821120], [[[1, 2], [2, 5], [3, 5], [6, 2], [10, 1]], 1249/53747712000], [[[1, 2], [2, 5], [3, 5], [6, 2], [12, 1]], 329969/1857520926720], [[[1, 2], [2, 5], [3, 5], [8, 1], [10, 1]], 11/17915904000], [[[1, 2], [2, 5], [3, 5], [8, 1], [12, 1]], 11/5733089280], [[[1, 2], [2, 5], [3, 5], [10, 1], [12, 1]], 187/26873856000], [[[1, 2], [2, 5], [3, 6], [4, 1], [5, 1]], 1/10749542400], [[[1, 2], [2, 5], [3, 6], [4, 1], [6, 2]], 30901/8255648563200], [[[1, 2], [2, 5], [3, 6], [4, 1], [8, 1]], 17/34398535680], [[[1, 2], [2, 5], [3, 6], [4, 1], [12, 1]], 1781/1375941427200], [[[1, 2], [2, 5], [3, 6], [4, 2], [6, 1]], 1013/4953389137920], [[[1, 2], [2, 5], [3, 6], [5, 1], [6, 1]], 89/21499084800], [[[1, 2], [2, 5], [3, 6], [6, 1], [8, 1]], 269/51597803520], [[[1, 2], [2, 5], [3, 6], [6, 1], [10, 1]], 53/53747712000], [[[1, 2], [2, 5], [3, 6], [6, 1], [12, 1]], 8819/515978035200], [[[1, 2], [2, 5], [3, 7], [4, 1], [6, 1]], 11/154793410560], [[[1, 2], [2, 5], [4, 1], [5, 1], [6, 6]], 91/96745881600], [[[1, 2], [2, 5], [4, 1], [5, 1], [8, 3]], 1/2359296], [[[1, 2], [2, 5], [4, 1], [5, 1], [10, 3]], 11/57600000], [[[1, 2], [2, 5], [4, 1], [5, 1], [14, 2]], 3/125440], [[[1, 2], [2, 5], [4, 1], [5, 1], [18, 2]], 7/1866240], [[[1, 2], [2, 5], [4, 1], [5, 2], [6, 4]], 1069/318504960000], [[[1, 2], [2, 5], [4, 1], [5, 2], [8, 2]], 347/1179648000], [[[1, 2], [2, 5], [4, 1], [5, 2], [10, 2]], 937/1228800000], [[[1, 2], [2, 5], [4, 1], [5, 2], [12, 2]], 7/1769472000], [[[1, 2], [2, 5], [4, 1], [5, 2], [15, 1]], 7/184320000], [[[1, 2], [2, 5], [4, 1], [5, 2], [20, 1]], 7/122880000], [[[1, 2], [2, 5], [4, 1], [5, 2], [24, 1]], 7/147456000], [[[1, 2], [2, 5], [4, 1], [5, 2], [30, 1]], 7/184320000], [[[1, 2], [2, 5], [4, 1], [5, 3], [6, 2]], 7/124416000], [[[1, 2], [2, 5], [4, 1], [5, 3], [8, 1]], 1/7372800], [[[1, 2], [2, 5], [4, 1], [5, 3], [10, 1]], 11/57600000], [[[1, 2], [2, 5], [4, 1], [6, 2], [8, 3]], 19/7077888], [[[1, 2], [2, 5], [4, 1], [6, 2], [10, 3]], 691/124416000], [[[1, 2], [2, 5], [4, 1], [6, 2], [12, 3]], 299767/68797071360], [[[1, 2], [2, 5], [4, 1], [6, 2], [18, 2]], 167/59719680], [[[1, 2], [2, 5], [4, 1], [6, 2], [28, 1]], 1/41472], [[[1, 2], [2, 5], [4, 1], [6, 2], [36, 1]], 7/373248], [[[1, 2], [2, 5], [4, 1], [6, 4], [8, 2]], 48347/305764761600], [[[1, 2], [2, 5], [4, 1], [6, 4], [10, 2]], 131911/955514880000], [[[1, 2], [2, 5], [4, 1], [6, 4], [12, 2]], 981691/1375941427200], [[[1, 2], [2, 5], [4, 1], [6, 4], [15, 1]], 1069/15925248000], [[[1, 2], [2, 5], [4, 1], [6, 4], [20, 1]], 1069/10616832000], [[[1, 2], [2, 5], [4, 1], [6, 4], [24, 1]], 1069/12740198400], [[[1, 2], [2, 5], [4, 1], [6, 4], [30, 1]], 1069/15925248000], [[[1, 2], [2, 5], [4, 1], [6, 5], [7, 1]], 1/1672151040], [[[1, 2], [2, 5], [4, 1], [6, 5], [9, 1]], 1/2149908480], [[[1, 2], [2, 5], [4, 1], [6, 5], [14, 1]], 1/418037760], [[[1, 2], [2, 5], [4, 1], [6, 5], [18, 1]], 3287/85996339200], [[[1, 2], [2, 5], [4, 1], [6, 6], [8, 1]], 613/154793410560], [[[1, 2], [2, 5], [4, 1], [6, 6], [10, 1]], 199/96745881600], [[[1, 2], [2, 5], [4, 1], [6, 6], [12, 1]], 343927/37150418534400], [[[1, 2], [2, 5], [4, 1], [7, 2], [8, 1]], 1/401408], [[[1, 2], [2, 5], [4, 1], [8, 1], [9, 2]], 1/663552], [[[1, 2], [2, 5], [4, 1], [8, 1], [10, 3]], 73/92160000], [[[1, 2], [2, 5], [4, 1], [8, 1], [12, 3]], 7/15925248], [[[1, 2], [2, 5], [4, 1], [8, 1], [14, 2]], 17/200704], [[[1, 2], [2, 5], [4, 1], [8, 1], [18, 2]], 43/2985984], [[[1, 2], [2, 5], [4, 1], [8, 1], [28, 1]], 1/43008], [[[1, 2], [2, 5], [4, 1], [8, 1], [36, 1]], 1/55296], [[[1, 2], [2, 5], [4, 1], [8, 2], [10, 2]], 1051/1179648000], [[[1, 2], [2, 5], [4, 1], [8, 2], [12, 2]], 347/566231040], [[[1, 2], [2, 5], [4, 1], [8, 2], [15, 1]], 347/58982400], [[[1, 2], [2, 5], [4, 1], [8, 2], [16, 1]], 13/196608], [[[1, 2], [2, 5], [4, 1], [8, 2], [20, 1]], 329/13107200], [[[1, 2], [2, 5], [4, 1], [8, 2], [24, 1]], 617/15728640], [[[1, 2], [2, 5], [4, 1], [8, 2], [30, 1]], 347/58982400], [[[1, 2], [2, 5], [4, 1], [8, 3], [10, 1]], 161/29491200], [[[1, 2], [2, 5], [4, 1], [8, 3], [12, 1]], 1/3538944], [[[1, 2], [2, 5], [4, 1], [10, 1], [12, 3]], 77/49766400], [[[1, 2], [2, 5], [4, 1], [10, 1], [14, 2]], 3/125440], [[[1, 2], [2, 5], [4, 1], [10, 1], [18, 2]], 7/1866240], [[[1, 2], [2, 5], [4, 1], [10, 1], [28, 1]], 11/134400], [[[1, 2], [2, 5], [4, 1], [10, 1], [36, 1]], 11/172800], [[[1, 2], [2, 5], [4, 1], [10, 2], [12, 2]], 79/196608000], [[[1, 2], [2, 5], [4, 1], [10, 2], [15, 1]], 79/20480000], [[[1, 2], [2, 5], [4, 1], [10, 2], [20, 1]], 237/40960000], [[[1, 2], [2, 5], [4, 1], [10, 2], [24, 1]], 79/16384000], [[[1, 2], [2, 5], [4, 1], [10, 2], [30, 1]], 79/20480000], [[[1, 2], [2, 5], [4, 1], [10, 3], [12, 1]], 11/34560000], [[[1, 2], [2, 5], [4, 1], [12, 1], [14, 2]], 1/25088], [[[1, 2], [2, 5], [4, 1], [12, 1], [18, 2]], 7/1119744], [[[1, 2], [2, 5], [4, 1], [12, 1], [36, 1]], 7/1105920], [[[1, 2], [2, 5], [4, 1], [12, 2], [15, 1]], 7/88473600], [[[1, 2], [2, 5], [4, 1], [12, 2], [20, 1]], 7/58982400], [[[1, 2], [2, 5], [4, 1], [12, 2], [24, 1]], 91/70778880], [[[1, 2], [2, 5], [4, 1], [12, 2], [30, 1]], 7/88473600], [[[1, 2], [2, 5], [4, 1], [15, 1], [20, 1]], 7/6144000], [[[1, 2], [2, 5], [4, 1], [15, 1], [24, 1]], 7/7372800], [[[1, 2], [2, 5], [4, 1], [15, 1], [30, 1]], 7/576000], [[[1, 2], [2, 5], [4, 1], [20, 1], [24, 1]], 7/4915200], [[[1, 2], [2, 5], [4, 1], [20, 1], [30, 1]], 7/6144000], [[[1, 2], [2, 5], [4, 1], [24, 1], [30, 1]], 7/7372800], [[[1, 2], [2, 5], [4, 2], [5, 1], [6, 5]], 7/14332723200], [[[1, 2], [2, 5], [4, 2], [5, 2], [6, 3]], 1703/57330892800], [[[1, 2], [2, 5], [4, 2], [5, 2], [7, 1]], 1/44236800], [[[1, 2], [2, 5], [4, 2], [5, 2], [9, 1]], 1/59719680], [[[1, 2], [2, 5], [4, 2], [5, 2], [14, 1]], 3643/619315200], [[[1, 2], [2, 5], [4, 2], [5, 2], [18, 1]], 1223/796262400], [[[1, 2], [2, 5], [4, 2], [5, 3], [6, 1]], 7/55296000], [[[1, 2], [2, 5], [4, 2], [6, 1], [7, 2]], 1/1806336], [[[1, 2], [2, 5], [4, 2], [6, 1], [8, 3]], 3353/339738624], [[[1, 2], [2, 5], [4, 2], [6, 1], [9, 2]], 1/2985984], [[[1, 2], [2, 5], [4, 2], [6, 1], [10, 3]], 3827/1327104000], [[[1, 2], [2, 5], [4, 2], [6, 1], [12, 3]], 695953/68797071360], [[[1, 2], [2, 5], [4, 2], [6, 1], [14, 2]], 1/602112], [[[1, 2], [2, 5], [4, 2], [6, 1], [18, 2]], 37/23887872], [[[1, 2], [2, 5], [4, 2], [6, 1], [28, 1]], 107/1935360], [[[1, 2], [2, 5], [4, 2], [6, 1], [36, 1]], 287/7464960], [[[1, 2], [2, 5], [4, 2], [6, 3], [8, 2]], 15851/18345885696], [[[1, 2], [2, 5], [4, 2], [6, 3], [10, 2]], 22439/57330892800], [[[1, 2], [2, 5], [4, 2], [6, 3], [12, 2]], 235429/137594142720], [[[1, 2], [2, 5], [4, 2], [6, 3], [15, 1]], 551/2866544640], [[[1, 2], [2, 5], [4, 2], [6, 3], [16, 1]], 1/1990656], [[[1, 2], [2, 5], [4, 2], [6, 3], [20, 1]], 1319/1911029760], [[[1, 2], [2, 5], [4, 2], [6, 3], [24, 1]], 551/2293235712], [[[1, 2], [2, 5], [4, 2], [6, 3], [30, 1]], 551/2866544640], [[[1, 2], [2, 5], [4, 2], [6, 4], [7, 1]], 1607/80263249920], [[[1, 2], [2, 5], [4, 2], [6, 4], [9, 1]], 209/15479341056], [[[1, 2], [2, 5], [4, 2], [6, 4], [14, 1]], 4667/160526499840], [[[1, 2], [2, 5], [4, 2], [6, 4], [18, 1]], 8437/68797071360], [[[1, 2], [2, 5], [4, 2], [6, 5], [8, 1]], 341/30576476160], [[[1, 2], [2, 5], [4, 2], [6, 5], [10, 1]], 539/38220595200], [[[1, 2], [2, 5], [4, 2], [6, 5], [12, 1]], 557929/12383472844800], [[[1, 2], [2, 5], [4, 2], [7, 1], [8, 2]], 1195/99090432], [[[1, 2], [2, 5], [4, 2], [7, 1], [10, 2]], 1/44236800], [[[1, 2], [2, 5], [4, 2], [7, 1], [12, 2]], 1/21233664], [[[1, 2], [2, 5], [4, 2], [7, 1], [15, 1]], 1/2211840], [[[1, 2], [2, 5], [4, 2], [7, 1], [20, 1]], 1/1474560], [[[1, 2], [2, 5], [4, 2], [7, 1], [24, 1]], 1/1769472], [[[1, 2], [2, 5], [4, 2], [7, 1], [30, 1]], 1/2211840], [[[1, 2], [2, 5], [4, 2], [8, 2], [9, 1]], 869/95551488], [[[1, 2], [2, 5], [4, 2], [8, 2], [14, 1]], 31183/198180864], [[[1, 2], [2, 5], [4, 2], [8, 2], [18, 1]], 11915/254803968], [[[1, 2], [2, 5], [4, 2], [9, 1], [10, 2]], 1/59719680], [[[1, 2], [2, 5], [4, 2], [9, 1], [12, 2]], 5/143327232], [[[1, 2], [2, 5], [4, 2], [9, 1], [15, 1]], 1/2985984], [[[1, 2], [2, 5], [4, 2], [9, 1], [20, 1]], 1/1990656], [[[1, 2], [2, 5], [4, 2], [9, 1], [24, 1]], 5/11943936], [[[1, 2], [2, 5], [4, 2], [9, 1], [30, 1]], 1/2985984], [[[1, 2], [2, 5], [4, 2], [10, 2], [14, 1]], 3643/619315200], [[[1, 2], [2, 5], [4, 2], [10, 2], [18, 1]], 1223/796262400], [[[1, 2], [2, 5], [4, 2], [12, 2], [14, 1]], 14011/297271296], [[[1, 2], [2, 5], [4, 2], [12, 2], [18, 1]], 4679/382205952], [[[1, 2], [2, 5], [4, 2], [14, 1], [15, 1]], 187/30965760], [[[1, 2], [2, 5], [4, 2], [14, 1], [16, 1]], 1/7168], [[[1, 2], [2, 5], [4, 2], [14, 1], [20, 1]], 2491/20643840], [[[1, 2], [2, 5], [4, 2], [14, 1], [24, 1]], 187/24772608], [[[1, 2], [2, 5], [4, 2], [14, 1], [30, 1]], 187/30965760], [[[1, 2], [2, 5], [4, 2], [15, 1], [18, 1]], 71/39813120], [[[1, 2], [2, 5], [4, 2], [16, 1], [18, 1]], 1/27648], [[[1, 2], [2, 5], [4, 2], [18, 1], [20, 1]], 839/26542080], [[[1, 2], [2, 5], [4, 2], [18, 1], [24, 1]], 71/31850496], [[[1, 2], [2, 5], [4, 2], [18, 1], [30, 1]], 71/39813120], [[[1, 2], [2, 5], [4, 3], [5, 1], [6, 4]], 2573/229323571200], [[[1, 2], [2, 5], [4, 3], [5, 1], [8, 2]], 2281/283115520], [[[1, 2], [2, 5], [4, 3], [5, 1], [10, 2]], 13/884736000], [[[1, 2], [2, 5], [4, 3], [5, 1], [12, 2]], 13/424673280], [[[1, 2], [2, 5], [4, 3], [5, 1], [15, 1]], 13/44236800], [[[1, 2], [2, 5], [4, 3], [5, 1], [20, 1]], 13/29491200], [[[1, 2], [2, 5], [4, 3], [5, 1], [24, 1]], 13/35389440], [[[1, 2], [2, 5], [4, 3], [5, 1], [30, 1]], 13/44236800], [[[1, 2], [2, 5], [4, 3], [5, 2], [6, 2]], 61/2388787200], [[[1, 2], [2, 5], [4, 3], [5, 2], [8, 1]], 3769/2831155200], [[[1, 2], [2, 5], [4, 3], [5, 2], [10, 1]], 109/4423680000], [[[1, 2], [2, 5], [4, 3], [5, 2], [12, 1]], 107/2654208000], [[[1, 2], [2, 5], [4, 3], [6, 2], [8, 2]], 1585/764411904], [[[1, 2], [2, 5], [4, 3], [6, 2], [10, 2]], 2437/2388787200], [[[1, 2], [2, 5], [4, 3], [6, 2], [12, 2]], 58513/11466178560], [[[1, 2], [2, 5], [4, 3], [6, 2], [15, 1]], 61/119439360], [[[1, 2], [2, 5], [4, 3], [6, 2], [16, 1]], 7/3981312], [[[1, 2], [2, 5], [4, 3], [6, 2], [20, 1]], 509/79626240], [[[1, 2], [2, 5], [4, 3], [6, 2], [24, 1]], 61/95551488], [[[1, 2], [2, 5], [4, 3], [6, 2], [30, 1]], 61/119439360], [[[1, 2], [2, 5], [4, 3], [6, 3], [7, 1]], 1/334430208], [[[1, 2], [2, 5], [4, 3], [6, 3], [9, 1]], 1/429981696], [[[1, 2], [2, 5], [4, 3], [6, 3], [14, 1]], 5/334430208], [[[1, 2], [2, 5], [4, 3], [6, 3], [18, 1]], 373/1289945088], [[[1, 2], [2, 5], [4, 3], [6, 4], [8, 1]], 29753/733835427840], [[[1, 2], [2, 5], [4, 3], [6, 4], [10, 1]], 20909/1146617856000], [[[1, 2], [2, 5], [4, 3], [6, 4], [12, 1]], 71507/687970713600], [[[1, 2], [2, 5], [4, 3], [7, 1], [14, 1]], 103/14450688], [[[1, 2], [2, 5], [4, 3], [7, 1], [18, 1]], 1/4644864], [[[1, 2], [2, 5], [4, 3], [8, 1], [10, 2]], 3769/2831155200], [[[1, 2], [2, 5], [4, 3], [8, 1], [12, 2]], 17209/1358954496], [[[1, 2], [2, 5], [4, 3], [8, 1], [15, 1]], 313/141557760], [[[1, 2], [2, 5], [4, 3], [8, 1], [16, 1]], 287/5898240], [[[1, 2], [2, 5], [4, 3], [8, 1], [20, 1]], 709/18874368], [[[1, 2], [2, 5], [4, 3], [8, 1], [24, 1]], 1145/113246208], [[[1, 2], [2, 5], [4, 3], [8, 1], [30, 1]], 313/141557760], [[[1, 2], [2, 5], [4, 3], [8, 2], [10, 1]], 13561/1415577600], [[[1, 2], [2, 5], [4, 3], [8, 2], [12, 1]], 34151/849346560], [[[1, 2], [2, 5], [4, 3], [9, 1], [14, 1]], 1/1548288], [[[1, 2], [2, 5], [4, 3], [9, 1], [18, 1]], 121/23887872], [[[1, 2], [2, 5], [4, 3], [10, 1], [12, 2]], 3401/424673280], [[[1, 2], [2, 5], [4, 3], [10, 1], [15, 1]], 109/221184000], [[[1, 2], [2, 5], [4, 3], [10, 1], [16, 1]], 11/1843200], [[[1, 2], [2, 5], [4, 3], [10, 1], [20, 1]], 13/655360], [[[1, 2], [2, 5], [4, 3], [10, 1], [24, 1]], 109/176947200], [[[1, 2], [2, 5], [4, 3], [10, 1], [30, 1]], 109/221184000], [[[1, 2], [2, 5], [4, 3], [10, 2], [12, 1]], 4331/2654208000], [[[1, 2], [2, 5], [4, 3], [12, 1], [15, 1]], 107/132710400], [[[1, 2], [2, 5], [4, 3], [12, 1], [16, 1]], 13/3538944], [[[1, 2], [2, 5], [4, 3], [12, 1], [20, 1]], 871/88473600], [[[1, 2], [2, 5], [4, 3], [12, 1], [24, 1]], 749/106168320], [[[1, 2], [2, 5], [4, 3], [12, 1], [30, 1]], 107/132710400], [[[1, 2], [2, 5], [4, 3], [14, 1], [18, 1]], 5/4644864], [[[1, 2], [2, 5], [4, 4], [5, 1], [6, 3]], 121/57330892800], [[[1, 2], [2, 5], [4, 4], [5, 1], [14, 1]], 121/206438400], [[[1, 2], [2, 5], [4, 4], [5, 1], [18, 1]], 121/796262400], [[[1, 2], [2, 5], [4, 4], [5, 2], [6, 1]], 277667/955514880000], [[[1, 2], [2, 5], [4, 4], [6, 1], [8, 2]], 2468927/305764761600], [[[1, 2], [2, 5], [4, 4], [6, 1], [10, 2]], 542051/955514880000], [[[1, 2], [2, 5], [4, 4], [6, 1], [12, 2]], 4227347/458647142400], [[[1, 2], [2, 5], [4, 4], [6, 1], [15, 1]], 18467/47775744000], [[[1, 2], [2, 5], [4, 4], [6, 1], [16, 1]], 1/98304], [[[1, 2], [2, 5], [4, 4], [6, 1], [20, 1]], 108679/6370099200], [[[1, 2], [2, 5], [4, 4], [6, 1], [24, 1]], 18467/38220595200], [[[1, 2], [2, 5], [4, 4], [6, 1], [30, 1]], 18467/47775744000], [[[1, 2], [2, 5], [4, 4], [6, 2], [7, 1]], 23/418037760], [[[1, 2], [2, 5], [4, 4], [6, 2], [9, 1]], 371/12899450880], [[[1, 2], [2, 5], [4, 4], [6, 2], [14, 1]], 101/3344302080], [[[1, 2], [2, 5], [4, 4], [6, 2], [18, 1]], 20387/85996339200], [[[1, 2], [2, 5], [4, 4], [6, 3], [8, 1]], 9269/137594142720], [[[1, 2], [2, 5], [4, 4], [6, 3], [10, 1]], 6989/429981696000], [[[1, 2], [2, 5], [4, 4], [6, 3], [12, 1]], 231841/1375941427200], [[[1, 2], [2, 5], [4, 4], [7, 1], [8, 1]], 181/990904320], [[[1, 2], [2, 5], [4, 4], [7, 1], [10, 1]], 1/258048000], [[[1, 2], [2, 5], [4, 4], [7, 1], [12, 1]], 1/5308416], [[[1, 2], [2, 5], [4, 4], [8, 1], [9, 1]], 181/1274019840], [[[1, 2], [2, 5], [4, 4], [8, 1], [14, 1]], 1711/123863040], [[[1, 2], [2, 5], [4, 4], [8, 1], [18, 1]], 1405/382205952], [[[1, 2], [2, 5], [4, 4], [9, 1], [10, 1]], 17/5971968000], [[[1, 2], [2, 5], [4, 4], [9, 1], [12, 1]], 5/35831808], [[[1, 2], [2, 5], [4, 4], [10, 1], [14, 1]], 17/28672000], [[[1, 2], [2, 5], [4, 4], [10, 1], [18, 1]], 929/5971968000], [[[1, 2], [2, 5], [4, 4], [12, 1], [14, 1]], 835/74317824], [[[1, 2], [2, 5], [4, 4], [12, 1], [18, 1]], 287/95551488], [[[1, 2], [2, 5], [4, 5], [5, 1], [6, 2]], 187/9555148800], [[[1, 2], [2, 5], [4, 5], [5, 1], [8, 1]], 73/566231040], [[[1, 2], [2, 5], [4, 5], [5, 1], [10, 1]], 11/4423680000], [[[1, 2], [2, 5], [4, 5], [5, 1], [12, 1]], 13/106168320], [[[1, 2], [2, 5], [4, 5], [6, 1], [7, 1]], 1/23592960], [[[1, 2], [2, 5], [4, 5], [6, 1], [9, 1]], 7/212336640], [[[1, 2], [2, 5], [4, 5], [6, 1], [14, 1]], 11/123863040], [[[1, 2], [2, 5], [4, 5], [6, 1], [18, 1]], 4111/76441190400], [[[1, 2], [2, 5], [4, 5], [6, 2], [8, 1]], 2083/15288238080], [[[1, 2], [2, 5], [4, 5], [6, 2], [10, 1]], 583/9555148800], [[[1, 2], [2, 5], [4, 5], [6, 2], [12, 1]], 1317079/3669177139200], [[[1, 2], [2, 5], [4, 5], [8, 1], [10, 1]], 2029/7077888000], [[[1, 2], [2, 5], [4, 5], [8, 1], [12, 1]], 433/113246208], [[[1, 2], [2, 5], [4, 5], [10, 1], [12, 1]], 7/14745600], [[[1, 2], [2, 5], [4, 6], [5, 1], [6, 1]], 127/4246732800], [[[1, 2], [2, 5], [4, 6], [6, 1], [8, 1]], 61421/81537269760], [[[1, 2], [2, 5], [4, 6], [6, 1], [10, 1]], 251/4076863488], [[[1, 2], [2, 5], [4, 6], [6, 1], [12, 1]], 8277601/11007531417600], [[[1, 2], [2, 5], [5, 1], [6, 1], [10, 3]], 1/5760000], [[[1, 2], [2, 5], [5, 1], [6, 1], [12, 3]], 1/6635520], [[[1, 2], [2, 5], [5, 1], [6, 1], [18, 2]], 1/933120], [[[1, 2], [2, 5], [5, 1], [6, 3], [8, 2]], 1/238878720], [[[1, 2], [2, 5], [5, 1], [6, 3], [10, 2]], 1/746496000], [[[1, 2], [2, 5], [5, 1], [6, 3], [12, 2]], 11/71663616], [[[1, 2], [2, 5], [5, 1], [6, 3], [15, 1]], 1/37324800], [[[1, 2], [2, 5], [5, 1], [6, 3], [20, 1]], 1/24883200], [[[1, 2], [2, 5], [5, 1], [6, 3], [24, 1]], 1/29859840], [[[1, 2], [2, 5], [5, 1], [6, 3], [30, 1]], 1/37324800], [[[1, 2], [2, 5], [5, 1], [6, 4], [14, 1]], 1/696729600], [[[1, 2], [2, 5], [5, 1], [6, 4], [18, 1]], 41/2687385600], [[[1, 2], [2, 5], [5, 1], [6, 5], [10, 1]], 1/1492992000], [[[1, 2], [2, 5], [5, 1], [6, 5], [12, 1]], 11/3583180800], [[[1, 2], [2, 5], [5, 1], [8, 2], [14, 1]], 1/860160], [[[1, 2], [2, 5], [5, 1], [8, 2], [18, 1]], 1/3317760], [[[1, 2], [2, 5], [5, 1], [10, 2], [14, 1]], 1/2688000], [[[1, 2], [2, 5], [5, 1], [10, 2], [18, 1]], 1/10368000], [[[1, 2], [2, 5], [5, 1], [12, 2], [14, 1]], 1/1290240], [[[1, 2], [2, 5], [5, 1], [12, 2], [18, 1]], 1/4976640], [[[1, 2], [2, 5], [5, 1], [14, 1], [15, 1]], 1/134400], [[[1, 2], [2, 5], [5, 1], [14, 1], [20, 1]], 1/89600], [[[1, 2], [2, 5], [5, 1], [14, 1], [24, 1]], 1/107520], [[[1, 2], [2, 5], [5, 1], [14, 1], [30, 1]], 1/134400], [[[1, 2], [2, 5], [5, 1], [15, 1], [18, 1]], 1/518400], [[[1, 2], [2, 5], [5, 1], [18, 1], [20, 1]], 1/345600], [[[1, 2], [2, 5], [5, 1], [18, 1], [24, 1]], 1/414720], [[[1, 2], [2, 5], [5, 1], [18, 1], [30, 1]], 1/518400], [[[1, 2], [2, 5], [5, 2], [6, 1], [8, 2]], 197/3981312000], [[[1, 2], [2, 5], [5, 2], [6, 1], [10, 2]], 10301/12441600000], [[[1, 2], [2, 5], [5, 2], [6, 1], [12, 2]], 17/5971968000], [[[1, 2], [2, 5], [5, 2], [6, 1], [15, 1]], 17/622080000], [[[1, 2], [2, 5], [5, 2], [6, 1], [20, 1]], 17/414720000], [[[1, 2], [2, 5], [5, 2], [6, 1], [24, 1]], 17/497664000], [[[1, 2], [2, 5], [5, 2], [6, 1], [30, 1]], 17/622080000], [[[1, 2], [2, 5], [5, 2], [6, 2], [7, 1]], 1/10886400], [[[1, 2], [2, 5], [5, 2], [6, 2], [9, 1]], 11/167961600], [[[1, 2], [2, 5], [5, 2], [6, 2], [14, 1]], 11/43545600], [[[1, 2], [2, 5], [5, 2], [6, 2], [18, 1]], 137/1119744000], [[[1, 2], [2, 5], [5, 2], [6, 3], [8, 1]], 89/1791590400], [[[1, 2], [2, 5], [5, 2], [6, 3], [10, 1]], 689/5598720000], [[[1, 2], [2, 5], [5, 2], [6, 3], [12, 1]], 497/5971968000], [[[1, 2], [2, 5], [5, 2], [7, 1], [8, 1]], 1/12902400], [[[1, 2], [2, 5], [5, 2], [7, 1], [10, 1]], 1/3360000], [[[1, 2], [2, 5], [5, 2], [8, 1], [9, 1]], 1/16588800], [[[1, 2], [2, 5], [5, 2], [8, 1], [14, 1]], 1/1612800], [[[1, 2], [2, 5], [5, 2], [8, 1], [18, 1]], 1/4976640], [[[1, 2], [2, 5], [5, 2], [9, 1], [10, 1]], 17/77760000], [[[1, 2], [2, 5], [5, 2], [10, 1], [14, 1]], 1/1120000], [[[1, 2], [2, 5], [5, 2], [10, 1], [18, 1]], 29/77760000], [[[1, 2], [2, 5], [5, 3], [6, 1], [10, 1]], 1/5760000], [[[1, 2], [2, 5], [5, 3], [6, 1], [12, 1]], 1/13824000], [[[1, 2], [2, 5], [6, 1], [7, 2], [10, 1]], 1/188160], [[[1, 2], [2, 5], [6, 1], [7, 2], [12, 1]], 1/451584], [[[1, 2], [2, 5], [6, 1], [8, 1], [10, 3]], 31/69120000], [[[1, 2], [2, 5], [6, 1], [8, 1], [12, 3]], 5/15925248], [[[1, 2], [2, 5], [6, 1], [8, 1], [14, 2]], 1/50176], [[[1, 2], [2, 5], [6, 1], [8, 1], [18, 2]], 1/186624], [[[1, 2], [2, 5], [6, 1], [8, 2], [10, 2]], 5381/3981312000], [[[1, 2], [2, 5], [6, 1], [8, 2], [12, 2]], 197/1911029760], [[[1, 2], [2, 5], [6, 1], [8, 2], [15, 1]], 197/199065600], [[[1, 2], [2, 5], [6, 1], [8, 2], [20, 1]], 197/132710400], [[[1, 2], [2, 5], [6, 1], [8, 2], [24, 1]], 247/53084160], [[[1, 2], [2, 5], [6, 1], [8, 2], [30, 1]], 197/199065600], [[[1, 2], [2, 5], [6, 1], [8, 3], [10, 1]], 31/22118400], [[[1, 2], [2, 5], [6, 1], [8, 3], [12, 1]], 5/10616832], [[[1, 2], [2, 5], [6, 1], [9, 2], [10, 1]], 1/311040], [[[1, 2], [2, 5], [6, 1], [9, 2], [12, 1]], 1/746496], [[[1, 2], [2, 5], [6, 1], [10, 1], [12, 3]], 29/49766400], [[[1, 2], [2, 5], [6, 1], [10, 1], [14, 2]], 1/31360], [[[1, 2], [2, 5], [6, 1], [10, 1], [18, 2]], 7/583200], [[[1, 2], [2, 5], [6, 1], [10, 2], [12, 2]], 5201/5971968000], [[[1, 2], [2, 5], [6, 1], [10, 2], [15, 1]], 5201/622080000], [[[1, 2], [2, 5], [6, 1], [10, 2], [20, 1]], 5201/414720000], [[[1, 2], [2, 5], [6, 1], [10, 2], [24, 1]], 5201/497664000], [[[1, 2], [2, 5], [6, 1], [10, 2], [30, 1]], 5201/622080000], [[[1, 2], [2, 5], [6, 1], [10, 3], [12, 1]], 29/103680000], [[[1, 2], [2, 5], [6, 1], [12, 1], [14, 2]], 1/37632], [[[1, 2], [2, 5], [6, 1], [12, 1], [18, 2]], 1/186624], [[[1, 2], [2, 5], [6, 1], [12, 1], [36, 1]], 17/3732480], [[[1, 2], [2, 5], [6, 1], [12, 2], [15, 1]], 17/298598400], [[[1, 2], [2, 5], [6, 1], [12, 2], [20, 1]], 17/199065600], [[[1, 2], [2, 5], [6, 1], [12, 2], [24, 1]], 221/238878720], [[[1, 2], [2, 5], [6, 1], [12, 2], [30, 1]], 17/298598400], [[[1, 2], [2, 5], [6, 1], [15, 1], [20, 1]], 17/20736000], [[[1, 2], [2, 5], [6, 1], [15, 1], [24, 1]], 17/24883200], [[[1, 2], [2, 5], [6, 1], [15, 1], [30, 1]], 17/1944000], [[[1, 2], [2, 5], [6, 1], [20, 1], [24, 1]], 17/16588800], [[[1, 2], [2, 5], [6, 1], [20, 1], [30, 1]], 17/20736000], [[[1, 2], [2, 5], [6, 1], [24, 1], [30, 1]], 17/24883200], [[[1, 2], [2, 5], [6, 2], [7, 1], [8, 2]], 1/3483648], [[[1, 2], [2, 5], [6, 2], [7, 1], [10, 2]], 109/10886400], [[[1, 2], [2, 5], [6, 2], [7, 1], [12, 2]], 19/5225472], [[[1, 2], [2, 5], [6, 2], [7, 1], [15, 1]], 1/544320], [[[1, 2], [2, 5], [6, 2], [7, 1], [20, 1]], 1/362880], [[[1, 2], [2, 5], [6, 2], [7, 1], [24, 1]], 1/435456], [[[1, 2], [2, 5], [6, 2], [7, 1], [30, 1]], 1/544320], [[[1, 2], [2, 5], [6, 2], [8, 2], [9, 1]], 11/53747712], [[[1, 2], [2, 5], [6, 2], [8, 2], [14, 1]], 65/13934592], [[[1, 2], [2, 5], [6, 2], [8, 2], [18, 1]], 677/358318080], [[[1, 2], [2, 5], [6, 2], [9, 1], [10, 2]], 1091/167961600], [[[1, 2], [2, 5], [6, 2], [9, 1], [12, 2]], 209/80621568], [[[1, 2], [2, 5], [6, 2], [9, 1], [15, 1]], 11/8398080], [[[1, 2], [2, 5], [6, 2], [9, 1], [20, 1]], 11/5598720], [[[1, 2], [2, 5], [6, 2], [9, 1], [24, 1]], 11/6718464], [[[1, 2], [2, 5], [6, 2], [9, 1], [30, 1]], 11/8398080], [[[1, 2], [2, 5], [6, 2], [10, 2], [14, 1]], 659/43545600], [[[1, 2], [2, 5], [6, 2], [10, 2], [18, 1]], 13961/1119744000], [[[1, 2], [2, 5], [6, 2], [12, 2], [14, 1]], 209/20901888], [[[1, 2], [2, 5], [6, 2], [12, 2], [18, 1]], 2297/537477120], [[[1, 2], [2, 5], [6, 2], [14, 1], [15, 1]], 11/2177280], [[[1, 2], [2, 5], [6, 2], [14, 1], [20, 1]], 11/1451520], [[[1, 2], [2, 5], [6, 2], [14, 1], [24, 1]], 11/1741824], [[[1, 2], [2, 5], [6, 2], [14, 1], [30, 1]], 11/2177280], [[[1, 2], [2, 5], [6, 2], [15, 1], [18, 1]], 137/55987200], [[[1, 2], [2, 5], [6, 2], [18, 1], [20, 1]], 137/37324800], [[[1, 2], [2, 5], [6, 2], [18, 1], [24, 1]], 137/44789760], [[[1, 2], [2, 5], [6, 2], [18, 1], [30, 1]], 137/55987200], [[[1, 2], [2, 5], [6, 3], [7, 1], [9, 1]], 1/15676416], [[[1, 2], [2, 5], [6, 3], [7, 1], [14, 1]], 5/3048192], [[[1, 2], [2, 5], [6, 3], [7, 1], [18, 1]], 1/839808], [[[1, 2], [2, 5], [6, 3], [8, 1], [10, 2]], 1573/358318080], [[[1, 2], [2, 5], [6, 3], [8, 1], [12, 2]], 1871/859963392], [[[1, 2], [2, 5], [6, 3], [8, 1], [15, 1]], 89/89579520], [[[1, 2], [2, 5], [6, 3], [8, 1], [16, 1]], 1/3981312], [[[1, 2], [2, 5], [6, 3], [8, 1], [20, 1]], 89/59719680], [[[1, 2], [2, 5], [6, 3], [8, 1], [24, 1]], 89/71663616], [[[1, 2], [2, 5], [6, 3], [8, 1], [30, 1]], 89/89579520], [[[1, 2], [2, 5], [6, 3], [8, 2], [10, 1]], 3929/1791590400], [[[1, 2], [2, 5], [6, 3], [8, 2], [12, 1]], 2117/1911029760], [[[1, 2], [2, 5], [6, 3], [9, 1], [14, 1]], 1/2939328], [[[1, 2], [2, 5], [6, 3], [9, 1], [18, 1]], 13/11337408], [[[1, 2], [2, 5], [6, 3], [10, 1], [12, 2]], 2827/537477120], [[[1, 2], [2, 5], [6, 3], [10, 1], [15, 1]], 689/279936000], [[[1, 2], [2, 5], [6, 3], [10, 1], [20, 1]], 689/186624000], [[[1, 2], [2, 5], [6, 3], [10, 1], [24, 1]], 689/223948800], [[[1, 2], [2, 5], [6, 3], [10, 1], [30, 1]], 689/279936000], [[[1, 2], [2, 5], [6, 3], [10, 2], [12, 1]], 40241/5971968000], [[[1, 2], [2, 5], [6, 3], [12, 1], [15, 1]], 497/298598400], [[[1, 2], [2, 5], [6, 3], [12, 1], [20, 1]], 497/199065600], [[[1, 2], [2, 5], [6, 3], [12, 1], [24, 1]], 497/238878720], [[[1, 2], [2, 5], [6, 3], [12, 1], [30, 1]], 497/298598400], [[[1, 2], [2, 5], [6, 3], [14, 1], [18, 1]], 11/3359232], [[[1, 2], [2, 5], [6, 4], [7, 1], [8, 1]], 23/477757440], [[[1, 2], [2, 5], [6, 4], [7, 1], [10, 1]], 67/290304000], [[[1, 2], [2, 5], [6, 4], [7, 1], [12, 1]], 5/15676416], [[[1, 2], [2, 5], [6, 4], [8, 1], [9, 1]], 161/4299816960], [[[1, 2], [2, 5], [6, 4], [8, 1], [14, 1]], 101/418037760], [[[1, 2], [2, 5], [6, 4], [8, 1], [18, 1]], 275/429981696], [[[1, 2], [2, 5], [6, 4], [9, 1], [10, 1]], 3217/20155392000], [[[1, 2], [2, 5], [6, 4], [9, 1], [12, 1]], 55/241864704], [[[1, 2], [2, 5], [6, 4], [10, 1], [14, 1]], 403/870912000], [[[1, 2], [2, 5], [6, 4], [10, 1], [18, 1]], 10663/6718464000], [[[1, 2], [2, 5], [6, 4], [12, 1], [14, 1]], 55/62705664], [[[1, 2], [2, 5], [6, 4], [12, 1], [18, 1]], 697/537477120], [[[1, 2], [2, 5], [6, 5], [8, 1], [10, 1]], 677/5971968000], [[[1, 2], [2, 5], [6, 5], [8, 1], [12, 1]], 97/573308928], [[[1, 2], [2, 5], [6, 5], [10, 1], [12, 1]], 3773/8957952000], [[[1, 2], [2, 5], [7, 1], [8, 1], [10, 2]], 1/12902400], [[[1, 2], [2, 5], [7, 1], [8, 1], [12, 2]], 1/6193152], [[[1, 2], [2, 5], [7, 1], [8, 1], [15, 1]], 1/645120], [[[1, 2], [2, 5], [7, 1], [8, 1], [20, 1]], 1/430080], [[[1, 2], [2, 5], [7, 1], [8, 1], [24, 1]], 1/516096], [[[1, 2], [2, 5], [7, 1], [8, 1], [30, 1]], 1/645120], [[[1, 2], [2, 5], [7, 1], [8, 2], [10, 1]], 1/1075200], [[[1, 2], [2, 5], [7, 1], [9, 1], [14, 1]], 1/56448], [[[1, 2], [2, 5], [7, 1], [9, 1], [18, 1]], 1/217728], [[[1, 2], [2, 5], [7, 1], [10, 1], [12, 2]], 1/1612800], [[[1, 2], [2, 5], [7, 1], [10, 1], [15, 1]], 1/168000], [[[1, 2], [2, 5], [7, 1], [10, 1], [20, 1]], 1/112000], [[[1, 2], [2, 5], [7, 1], [10, 1], [24, 1]], 1/134400], [[[1, 2], [2, 5], [7, 1], [10, 1], [30, 1]], 1/168000], [[[1, 2], [2, 5], [7, 1], [14, 1], [18, 1]], 5/42336], [[[1, 2], [2, 5], [8, 1], [9, 1], [10, 2]], 1/16588800], [[[1, 2], [2, 5], [8, 1], [9, 1], [12, 2]], 1/7962624], [[[1, 2], [2, 5], [8, 1], [9, 1], [15, 1]], 1/829440], [[[1, 2], [2, 5], [8, 1], [9, 1], [20, 1]], 1/552960], [[[1, 2], [2, 5], [8, 1], [9, 1], [24, 1]], 1/663552], [[[1, 2], [2, 5], [8, 1], [9, 1], [30, 1]], 1/829440], [[[1, 2], [2, 5], [8, 1], [10, 2], [14, 1]], 1/1612800], [[[1, 2], [2, 5], [8, 1], [10, 2], [18, 1]], 1/4976640], [[[1, 2], [2, 5], [8, 1], [12, 2], [14, 1]], 1/774144], [[[1, 2], [2, 5], [8, 1], [12, 2], [18, 1]], 5/11943936], [[[1, 2], [2, 5], [8, 1], [14, 1], [15, 1]], 1/80640], [[[1, 2], [2, 5], [8, 1], [14, 1], [16, 1]], 1/14336], [[[1, 2], [2, 5], [8, 1], [14, 1], [20, 1]], 1/53760], [[[1, 2], [2, 5], [8, 1], [14, 1], [24, 1]], 1/64512], [[[1, 2], [2, 5], [8, 1], [14, 1], [30, 1]], 1/80640], [[[1, 2], [2, 5], [8, 1], [15, 1], [18, 1]], 1/248832], [[[1, 2], [2, 5], [8, 1], [16, 1], [18, 1]], 1/55296], [[[1, 2], [2, 5], [8, 1], [18, 1], [20, 1]], 1/165888], [[[1, 2], [2, 5], [8, 1], [18, 1], [24, 1]], 5/995328], [[[1, 2], [2, 5], [8, 1], [18, 1], [30, 1]], 1/248832], [[[1, 2], [2, 5], [8, 2], [9, 1], [10, 1]], 17/24883200], [[[1, 2], [2, 5], [8, 2], [10, 1], [14, 1]], 1/358400], [[[1, 2], [2, 5], [8, 2], [10, 1], [18, 1]], 29/24883200], [[[1, 2], [2, 5], [9, 1], [10, 1], [12, 2]], 17/37324800], [[[1, 2], [2, 5], [9, 1], [10, 1], [15, 1]], 17/3888000], [[[1, 2], [2, 5], [9, 1], [10, 1], [20, 1]], 17/2592000], [[[1, 2], [2, 5], [9, 1], [10, 1], [24, 1]], 17/3110400], [[[1, 2], [2, 5], [9, 1], [10, 1], [30, 1]], 17/3888000], [[[1, 2], [2, 5], [9, 1], [14, 1], [18, 1]], 5/46656], [[[1, 2], [2, 5], [10, 1], [12, 2], [14, 1]], 1/537600], [[[1, 2], [2, 5], [10, 1], [12, 2], [18, 1]], 29/37324800], [[[1, 2], [2, 5], [10, 1], [14, 1], [15, 1]], 1/56000], [[[1, 2], [2, 5], [10, 1], [14, 1], [20, 1]], 3/112000], [[[1, 2], [2, 5], [10, 1], [14, 1], [24, 1]], 1/44800], [[[1, 2], [2, 5], [10, 1], [14, 1], [30, 1]], 1/56000], [[[1, 2], [2, 5], [10, 1], [15, 1], [18, 1]], 29/3888000], [[[1, 2], [2, 5], [10, 1], [18, 1], [20, 1]], 29/2592000], [[[1, 2], [2, 5], [10, 1], [18, 1], [24, 1]], 29/3110400], [[[1, 2], [2, 5], [10, 1], [18, 1], [30, 1]], 29/3888000], [[[1, 2], [2, 7], [3, 1], [4, 1], [5, 3]], 1/1105920000], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 6]], 180251/37150418534400], [[[1, 2], [2, 7], [3, 1], [4, 1], [8, 3]], 391/1698693120], [[[1, 2], [2, 7], [3, 1], [4, 1], [9, 2]], 1/59719680], [[[1, 2], [2, 7], [3, 1], [4, 1], [10, 3]], 17/829440000], [[[1, 2], [2, 7], [3, 1], [4, 1], [12, 3]], 1/424673280], [[[1, 2], [2, 7], [3, 1], [4, 1], [14, 2]], 1/200704], [[[1, 2], [2, 7], [3, 1], [4, 1], [18, 2]], 13/26873856], [[[1, 2], [2, 7], [3, 1], [4, 2], [6, 5]], 2192801/111451255603200], [[[1, 2], [2, 7], [3, 1], [4, 3], [5, 2]], 163/12740198400], [[[1, 2], [2, 7], [3, 1], [4, 3], [6, 4]], 57713/1100753141760], [[[1, 2], [2, 7], [3, 1], [4, 3], [8, 2]], 3349/4076863488], [[[1, 2], [2, 7], [3, 1], [4, 3], [10, 2]], 19/12740198400], [[[1, 2], [2, 7], [3, 1], [4, 3], [12, 2]], 1103/30576476160], [[[1, 2], [2, 7], [3, 1], [4, 3], [15, 1]], 19/637009920], [[[1, 2], [2, 7], [3, 1], [4, 3], [20, 1]], 19/424673280], [[[1, 2], [2, 7], [3, 1], [4, 3], [24, 1]], 19/509607936], [[[1, 2], [2, 7], [3, 1], [4, 3], [30, 1]], 19/637009920], [[[1, 2], [2, 7], [3, 1], [4, 4], [6, 3]], 905129/8255648563200], [[[1, 2], [2, 7], [3, 1], [4, 4], [9, 1]], 17315/2311581597696], [[[1, 2], [2, 7], [3, 1], [4, 4], [14, 1]], 751/17836277760], [[[1, 2], [2, 7], [3, 1], [4, 4], [18, 1]], 751/68797071360], [[[1, 2], [2, 7], [3, 1], [4, 5], [5, 1]], 17/28311552000], [[[1, 2], [2, 7], [3, 1], [4, 5], [6, 2]], 863203/33022594252800], [[[1, 2], [2, 7], [3, 1], [4, 5], [8, 1]], 4081/407686348800], [[[1, 2], [2, 7], [3, 1], [4, 5], [10, 1]], 17/63700992000], [[[1, 2], [2, 7], [3, 1], [4, 5], [12, 1]], 8059/611529523200], [[[1, 2], [2, 7], [3, 1], [4, 6], [6, 1]], 154451/33022594252800], [[[1, 2], [2, 7], [3, 1], [5, 1], [6, 5]], 13219/2902376448000], [[[1, 2], [2, 7], [3, 1], [5, 2], [6, 3]], 893/35831808000], [[[1, 2], [2, 7], [3, 1], [5, 2], [9, 1]], 13/150493593600], [[[1, 2], [2, 7], [3, 1], [5, 2], [14, 1]], 1/232243200], [[[1, 2], [2, 7], [3, 1], [5, 2], [18, 1]], 1/895795200], [[[1, 2], [2, 7], [3, 1], [5, 3], [6, 1]], 19/11197440000], [[[1, 2], [2, 7], [3, 1], [6, 1], [8, 3]], 307/5733089280], [[[1, 2], [2, 7], [3, 1], [6, 1], [9, 2]], 7/226748160], [[[1, 2], [2, 7], [3, 1], [6, 1], [10, 3]], 37/497664000], [[[1, 2], [2, 7], [3, 1], [6, 1], [12, 3]], 157/25798901760], [[[1, 2], [2, 7], [3, 1], [6, 1], [14, 2]], 1/64512], [[[1, 2], [2, 7], [3, 1], [6, 1], [18, 2]], 133/80621568], [[[1, 2], [2, 7], [3, 1], [6, 3], [8, 2]], 1271/3822059520], [[[1, 2], [2, 7], [3, 1], [6, 3], [10, 2]], 132509/35831808000], [[[1, 2], [2, 7], [3, 1], [6, 3], [12, 2]], 71153/51597803520], [[[1, 2], [2, 7], [3, 1], [6, 3], [15, 1]], 893/1791590400], [[[1, 2], [2, 7], [3, 1], [6, 3], [20, 1]], 893/1194393600], [[[1, 2], [2, 7], [3, 1], [6, 3], [24, 1]], 1853/1433272320], [[[1, 2], [2, 7], [3, 1], [6, 3], [30, 1]], 893/1791590400], [[[1, 2], [2, 7], [3, 1], [6, 4], [7, 1]], 5/125411328], [[[1, 2], [2, 7], [3, 1], [6, 4], [9, 1]], 609193/7801587892224], [[[1, 2], [2, 7], [3, 1], [6, 4], [14, 1]], 20641/60197437440], [[[1, 2], [2, 7], [3, 1], [6, 4], [18, 1]], 89737/232190115840], [[[1, 2], [2, 7], [3, 1], [6, 5], [8, 1]], 135007/4643802316800], [[[1, 2], [2, 7], [3, 1], [6, 5], [10, 1]], 7007/42998169600], [[[1, 2], [2, 7], [3, 1], [6, 5], [12, 1]], 1942687/13931406950400], [[[1, 2], [2, 7], [3, 1], [8, 2], [9, 1]], 1525/48157949952], [[[1, 2], [2, 7], [3, 1], [8, 2], [14, 1]], 73/74317824], [[[1, 2], [2, 7], [3, 1], [8, 2], [18, 1]], 73/286654464], [[[1, 2], [2, 7], [3, 1], [9, 1], [10, 2]], 72589/150493593600], [[[1, 2], [2, 7], [3, 1], [9, 1], [12, 2]], 13/72236924928], [[[1, 2], [2, 7], [3, 1], [9, 1], [15, 1]], 13/7524679680], [[[1, 2], [2, 7], [3, 1], [9, 1], [20, 1]], 13/5016453120], [[[1, 2], [2, 7], [3, 1], [9, 1], [24, 1]], 13/6019743744], [[[1, 2], [2, 7], [3, 1], [9, 1], [30, 1]], 13/7524679680], [[[1, 2], [2, 7], [3, 1], [10, 2], [14, 1]], 1/232243200], [[[1, 2], [2, 7], [3, 1], [10, 2], [18, 1]], 1/895795200], [[[1, 2], [2, 7], [3, 1], [12, 2], [14, 1]], 1/111476736], [[[1, 2], [2, 7], [3, 1], [12, 2], [18, 1]], 1/429981696], [[[1, 2], [2, 7], [3, 1], [14, 1], [15, 1]], 1/11612160], [[[1, 2], [2, 7], [3, 1], [14, 1], [20, 1]], 1/7741440], [[[1, 2], [2, 7], [3, 1], [14, 1], [24, 1]], 1/9289728], [[[1, 2], [2, 7], [3, 1], [14, 1], [30, 1]], 1/11612160], [[[1, 2], [2, 7], [3, 1], [15, 1], [18, 1]], 1/44789760], [[[1, 2], [2, 7], [3, 1], [18, 1], [20, 1]], 1/29859840], [[[1, 2], [2, 7], [3, 1], [18, 1], [24, 1]], 1/35831808], [[[1, 2], [2, 7], [3, 1], [18, 1], [30, 1]], 1/44789760], [[[1, 2], [2, 7], [3, 2], [4, 1], [6, 5]], 1417/57330892800], [[[1, 2], [2, 7], [3, 2], [4, 2], [5, 2]], 11/2123366400], [[[1, 2], [2, 7], [3, 2], [4, 2], [6, 4]], 131281/330225942528], [[[1, 2], [2, 7], [3, 2], [4, 2], [8, 2]], 139/679477248], [[[1, 2], [2, 7], [3, 2], [4, 2], [10, 2]], 1/707788800], [[[1, 2], [2, 7], [3, 2], [4, 2], [12, 2]], 13171/963158999040], [[[1, 2], [2, 7], [3, 2], [4, 2], [15, 1]], 1/35389440], [[[1, 2], [2, 7], [3, 2], [4, 2], [20, 1]], 1/23592960], [[[1, 2], [2, 7], [3, 2], [4, 2], [24, 1]], 1/28311552], [[[1, 2], [2, 7], [3, 2], [4, 2], [30, 1]], 1/35389440], [[[1, 2], [2, 7], [3, 2], [4, 3], [6, 3]], 208913/1651129712640], [[[1, 2], [2, 7], [3, 2], [4, 3], [9, 1]], 19/1146617856], [[[1, 2], [2, 7], [3, 2], [4, 4], [6, 2]], 165177931/1849265278156800], [[[1, 2], [2, 7], [3, 2], [4, 4], [10, 1]], 1/31850496000], [[[1, 2], [2, 7], [3, 2], [4, 4], [12, 1]], 162467/12328435187712], [[[1, 2], [2, 7], [3, 2], [4, 5], [6, 1]], 41/50960793600], [[[1, 2], [2, 7], [3, 2], [5, 1], [6, 4]], 1/47775744], [[[1, 2], [2, 7], [3, 2], [5, 2], [6, 2]], 1187041/24078974976000], [[[1, 2], [2, 7], [3, 2], [5, 2], [10, 1]], 1/16588800], [[[1, 2], [2, 7], [3, 2], [5, 2], [12, 1]], 13/802632499200], [[[1, 2], [2, 7], [3, 2], [6, 2], [8, 2]], 1113961/7705271992320], [[[1, 2], [2, 7], [3, 2], [6, 2], [10, 2]], 20645473/24078974976000], [[[1, 2], [2, 7], [3, 2], [6, 2], [12, 2]], 7512247/11557907988480], [[[1, 2], [2, 7], [3, 2], [6, 2], [15, 1]], 541921/1203948748800], [[[1, 2], [2, 7], [3, 2], [6, 2], [20, 1]], 541921/802632499200], [[[1, 2], [2, 7], [3, 2], [6, 2], [24, 1]], 546601/963158999040], [[[1, 2], [2, 7], [3, 2], [6, 2], [30, 1]], 541921/1203948748800], [[[1, 2], [2, 7], [3, 2], [6, 3], [7, 1]], 1339/15049359360], [[[1, 2], [2, 7], [3, 2], [6, 3], [9, 1]], 1985/5804752896], [[[1, 2], [2, 7], [3, 2], [6, 3], [14, 1]], 24583/30098718720], [[[1, 2], [2, 7], [3, 2], [6, 3], [18, 1]], 218357/433421549568], [[[1, 2], [2, 7], [3, 2], [6, 4], [8, 1]], 1981/25798901760], [[[1, 2], [2, 7], [3, 2], [6, 4], [10, 1]], 16091/40310784000], [[[1, 2], [2, 7], [3, 2], [6, 4], [12, 1]], 8002793/29720334827520], [[[1, 2], [2, 7], [3, 2], [8, 2], [10, 1]], 13/132710400], [[[1, 2], [2, 7], [3, 2], [8, 2], [12, 1]], 1525/256842399744], [[[1, 2], [2, 7], [3, 2], [9, 1], [14, 1]], 1/20901888], [[[1, 2], [2, 7], [3, 2], [9, 1], [18, 1]], 1/80621568], [[[1, 2], [2, 7], [3, 2], [10, 1], [12, 2]], 19/199065600], [[[1, 2], [2, 7], [3, 2], [10, 1], [15, 1]], 1/20736000], [[[1, 2], [2, 7], [3, 2], [10, 1], [20, 1]], 1/13824000], [[[1, 2], [2, 7], [3, 2], [10, 1], [24, 1]], 1/16588800], [[[1, 2], [2, 7], [3, 2], [10, 1], [30, 1]], 1/20736000], [[[1, 2], [2, 7], [3, 2], [10, 2], [12, 1]], 72589/802632499200], [[[1, 2], [2, 7], [3, 2], [12, 1], [15, 1]], 13/40131624960], [[[1, 2], [2, 7], [3, 2], [12, 1], [20, 1]], 13/26754416640], [[[1, 2], [2, 7], [3, 2], [12, 1], [24, 1]], 13/32105299968], [[[1, 2], [2, 7], [3, 2], [12, 1], [30, 1]], 13/40131624960], [[[1, 2], [2, 7], [3, 2], [14, 1], [18, 1]], 1/1741824], [[[1, 2], [2, 7], [3, 3], [4, 1], [5, 2]], 1/47775744000], [[[1, 2], [2, 7], [3, 3], [4, 1], [6, 4]], 845611/12383472844800], [[[1, 2], [2, 7], [3, 3], [4, 1], [8, 2]], 61/15288238080], [[[1, 2], [2, 7], [3, 3], [4, 1], [10, 2]], 193/47775744000], [[[1, 2], [2, 7], [3, 3], [4, 1], [12, 2]], 11/4586471424], [[[1, 2], [2, 7], [3, 3], [4, 1], [15, 1]], 1/2388787200], [[[1, 2], [2, 7], [3, 3], [4, 1], [20, 1]], 1/1592524800], [[[1, 2], [2, 7], [3, 3], [4, 1], [24, 1]], 1/1911029760], [[[1, 2], [2, 7], [3, 3], [4, 1], [30, 1]], 1/2388787200], [[[1, 2], [2, 7], [3, 3], [4, 2], [6, 3]], 1266593/11145125560320], [[[1, 2], [2, 7], [3, 3], [4, 2], [7, 1]], 1/2675441664], [[[1, 2], [2, 7], [3, 3], [4, 2], [9, 1]], 55/3439853568], [[[1, 2], [2, 7], [3, 3], [4, 2], [14, 1]], 43/8026324992], [[[1, 2], [2, 7], [3, 3], [4, 2], [18, 1]], 49/30958682112], [[[1, 2], [2, 7], [3, 3], [4, 3], [5, 1]], 1/3822059520], [[[1, 2], [2, 7], [3, 3], [4, 3], [6, 2]], 10571/330225942528], [[[1, 2], [2, 7], [3, 3], [4, 3], [8, 1]], 35/18345885696], [[[1, 2], [2, 7], [3, 3], [4, 3], [10, 1]], 1/2123366400], [[[1, 2], [2, 7], [3, 3], [4, 3], [12, 1]], 341/91729428480], [[[1, 2], [2, 7], [3, 3], [4, 4], [6, 1]], 358267/222902511206400], [[[1, 2], [2, 7], [3, 3], [5, 1], [6, 3]], 1339/32248627200], [[[1, 2], [2, 7], [3, 3], [5, 2], [6, 1]], 517/2902376448000], [[[1, 2], [2, 7], [3, 3], [6, 1], [8, 2]], 29677/928760463360], [[[1, 2], [2, 7], [3, 3], [6, 1], [10, 2]], 96421/2902376448000], [[[1, 2], [2, 7], [3, 3], [6, 1], [12, 2]], 1799/278628139008], [[[1, 2], [2, 7], [3, 3], [6, 1], [15, 1]], 517/145118822400], [[[1, 2], [2, 7], [3, 3], [6, 1], [20, 1]], 517/96745881600], [[[1, 2], [2, 7], [3, 3], [6, 1], [24, 1]], 517/116095057920], [[[1, 2], [2, 7], [3, 3], [6, 1], [30, 1]], 517/145118822400], [[[1, 2], [2, 7], [3, 3], [6, 2], [7, 1]], 55/376233984], [[[1, 2], [2, 7], [3, 3], [6, 2], [9, 1]], 788321/2167107747840], [[[1, 2], [2, 7], [3, 3], [6, 2], [14, 1]], 23755/18059231232], [[[1, 2], [2, 7], [3, 3], [6, 2], [18, 1]], 437593/1044855521280], [[[1, 2], [2, 7], [3, 3], [6, 3], [8, 1]], 22141/154793410560], [[[1, 2], [2, 7], [3, 3], [6, 3], [10, 1]], 400561/580475289600], [[[1, 2], [2, 7], [3, 3], [6, 3], [12, 1]], 576343/1393140695040], [[[1, 2], [2, 7], [3, 3], [7, 1], [10, 1]], 1/174182400], [[[1, 2], [2, 7], [3, 3], [8, 1], [14, 1]], 1/55738368], [[[1, 2], [2, 7], [3, 3], [8, 1], [18, 1]], 1/214990848], [[[1, 2], [2, 7], [3, 3], [9, 1], [10, 1]], 7/223948800], [[[1, 2], [2, 7], [3, 3], [9, 1], [12, 1]], 13/72236924928], [[[1, 2], [2, 7], [3, 3], [10, 1], [14, 1]], 37/522547200], [[[1, 2], [2, 7], [3, 3], [10, 1], [18, 1]], 43/2015539200], [[[1, 2], [2, 7], [3, 3], [12, 1], [14, 1]], 1/111476736], [[[1, 2], [2, 7], [3, 3], [12, 1], [18, 1]], 1/429981696], [[[1, 2], [2, 7], [3, 4], [4, 1], [6, 3]], 372203/4643802316800], [[[1, 2], [2, 7], [3, 4], [4, 1], [7, 1]], 1/133772083200], [[[1, 2], [2, 7], [3, 4], [4, 1], [9, 1]], 41/171992678400], [[[1, 2], [2, 7], [3, 4], [4, 1], [14, 1]], 811/66886041600], [[[1, 2], [2, 7], [3, 4], [4, 1], [18, 1]], 203/64497254400], [[[1, 2], [2, 7], [3, 4], [4, 2], [5, 1]], 139/764411904000], [[[1, 2], [2, 7], [3, 4], [4, 2], [6, 2]], 621751/24766945689600], [[[1, 2], [2, 7], [3, 4], [4, 2], [8, 1]], 31853/11007531417600], [[[1, 2], [2, 7], [3, 4], [4, 2], [10, 1]], 71/1375941427200], [[[1, 2], [2, 7], [3, 4], [4, 2], [12, 1]], 824483/260052929740800], [[[1, 2], [2, 7], [3, 4], [4, 3], [6, 1]], 111233/148601674137600], [[[1, 2], [2, 7], [3, 4], [5, 1], [6, 2]], 173/2388787200], [[[1, 2], [2, 7], [3, 4], [5, 1], [10, 1]], 1/368640000], [[[1, 2], [2, 7], [3, 4], [6, 1], [7, 1]], 19/1354442342400], [[[1, 2], [2, 7], [3, 4], [6, 1], [9, 1]], 2599/1306069401600], [[[1, 2], [2, 7], [3, 4], [6, 1], [14, 1]], 324343/2708884684800], [[[1, 2], [2, 7], [3, 4], [6, 1], [18, 1]], 6055849/195039697305600], [[[1, 2], [2, 7], [3, 4], [6, 2], [8, 1]], 224441/2321901158400], [[[1, 2], [2, 7], [3, 4], [6, 2], [10, 1]], 495043/5804752896000], [[[1, 2], [2, 7], [3, 4], [6, 2], [12, 1]], 23100013/148601674137600], [[[1, 2], [2, 7], [3, 4], [8, 1], [10, 1]], 497/143327232000], [[[1, 2], [2, 7], [3, 4], [10, 1], [12, 1]], 1/119439360], [[[1, 2], [2, 7], [3, 5], [4, 1], [5, 1]], 1/286654464000], [[[1, 2], [2, 7], [3, 5], [4, 1], [6, 2]], 989563/111451255603200], [[[1, 2], [2, 7], [3, 5], [4, 1], [8, 1]], 31/1375941427200], [[[1, 2], [2, 7], [3, 5], [4, 1], [10, 1]], 17/214990848000], [[[1, 2], [2, 7], [3, 5], [4, 1], [12, 1]], 11/229323571200], [[[1, 2], [2, 7], [3, 5], [4, 2], [6, 1]], 28001/111451255603200], [[[1, 2], [2, 7], [3, 5], [5, 1], [6, 1]], 19/2902376448000], [[[1, 2], [2, 7], [3, 5], [6, 1], [8, 1]], 3007/4643802316800], [[[1, 2], [2, 7], [3, 5], [6, 1], [10, 1]], 127/42998169600], [[[1, 2], [2, 7], [3, 5], [6, 1], [12, 1]], 5327/13931406950400], [[[1, 2], [2, 7], [3, 6], [4, 1], [6, 1]], 223/515978035200], [[[1, 2], [2, 7], [4, 1], [5, 1], [6, 5]], 24037/3869835264000], [[[1, 2], [2, 7], [4, 1], [5, 2], [6, 3]], 91/5971968000], [[[1, 2], [2, 7], [4, 1], [5, 2], [7, 1]], 1/516096000], [[[1, 2], [2, 7], [4, 1], [5, 2], [9, 1]], 1/663552000], [[[1, 2], [2, 7], [4, 1], [5, 2], [14, 1]], 11/258048000], [[[1, 2], [2, 7], [4, 1], [5, 2], [18, 1]], 1/82944000], [[[1, 2], [2, 7], [4, 1], [5, 3], [6, 1]], 37/14929920000], [[[1, 2], [2, 7], [4, 1], [6, 1], [8, 3]], 7/20971520], [[[1, 2], [2, 7], [4, 1], [6, 1], [10, 3]], 1607/746496000], [[[1, 2], [2, 7], [4, 1], [6, 1], [12, 3]], 251/6449725440], [[[1, 2], [2, 7], [4, 1], [6, 1], [14, 2]], 5/602112], [[[1, 2], [2, 7], [4, 1], [6, 1], [18, 2]], 17/14929920], [[[1, 2], [2, 7], [4, 1], [6, 1], [28, 1]], 37/34836480], [[[1, 2], [2, 7], [4, 1], [6, 1], [36, 1]], 37/44789760], [[[1, 2], [2, 7], [4, 1], [6, 3], [8, 2]], 43/70778880], [[[1, 2], [2, 7], [4, 1], [6, 3], [10, 2]], 14843/5971968000], [[[1, 2], [2, 7], [4, 1], [6, 3], [12, 2]], 10169/8599633920], [[[1, 2], [2, 7], [4, 1], [6, 3], [15, 1]], 91/298598400], [[[1, 2], [2, 7], [4, 1], [6, 3], [20, 1]], 91/199065600], [[[1, 2], [2, 7], [4, 1], [6, 3], [24, 1]], 91/238878720], [[[1, 2], [2, 7], [4, 1], [6, 3], [30, 1]], 91/298598400], [[[1, 2], [2, 7], [4, 1], [6, 4], [7, 1]], 1601/133772083200], [[[1, 2], [2, 7], [4, 1], [6, 4], [9, 1]], 1601/171992678400], [[[1, 2], [2, 7], [4, 1], [6, 4], [14, 1]], 5611/66886041600], [[[1, 2], [2, 7], [4, 1], [6, 4], [18, 1]], 4241/21499084800], [[[1, 2], [2, 7], [4, 1], [6, 5], [8, 1]], 416471/12383472844800], [[[1, 2], [2, 7], [4, 1], [6, 5], [10, 1]], 44059/967458816000], [[[1, 2], [2, 7], [4, 1], [6, 5], [12, 1]], 36607/580475289600], [[[1, 2], [2, 7], [4, 1], [7, 1], [8, 2]], 61/165150720], [[[1, 2], [2, 7], [4, 1], [7, 1], [10, 2]], 193/516096000], [[[1, 2], [2, 7], [4, 1], [7, 1], [12, 2]], 1/247726080], [[[1, 2], [2, 7], [4, 1], [7, 1], [15, 1]], 1/25804800], [[[1, 2], [2, 7], [4, 1], [7, 1], [20, 1]], 1/17203200], [[[1, 2], [2, 7], [4, 1], [7, 1], [24, 1]], 1/20643840], [[[1, 2], [2, 7], [4, 1], [7, 1], [30, 1]], 1/25804800], [[[1, 2], [2, 7], [4, 1], [8, 2], [9, 1]], 61/212336640], [[[1, 2], [2, 7], [4, 1], [8, 2], [14, 1]], 551/82575360], [[[1, 2], [2, 7], [4, 1], [8, 2], [18, 1]], 17/8847360], [[[1, 2], [2, 7], [4, 1], [9, 1], [10, 2]], 193/663552000], [[[1, 2], [2, 7], [4, 1], [9, 1], [12, 2]], 1/318504960], [[[1, 2], [2, 7], [4, 1], [9, 1], [15, 1]], 1/33177600], [[[1, 2], [2, 7], [4, 1], [9, 1], [20, 1]], 1/22118400], [[[1, 2], [2, 7], [4, 1], [9, 1], [24, 1]], 1/26542080], [[[1, 2], [2, 7], [4, 1], [9, 1], [30, 1]], 1/33177600], [[[1, 2], [2, 7], [4, 1], [10, 2], [14, 1]], 1163/258048000], [[[1, 2], [2, 7], [4, 1], [10, 2], [18, 1]], 113/82944000], [[[1, 2], [2, 7], [4, 1], [12, 2], [14, 1]], 11/123863040], [[[1, 2], [2, 7], [4, 1], [12, 2], [18, 1]], 1/39813120], [[[1, 2], [2, 7], [4, 1], [14, 1], [15, 1]], 11/12902400], [[[1, 2], [2, 7], [4, 1], [14, 1], [20, 1]], 11/8601600], [[[1, 2], [2, 7], [4, 1], [14, 1], [24, 1]], 11/10321920], [[[1, 2], [2, 7], [4, 1], [14, 1], [30, 1]], 11/12902400], [[[1, 2], [2, 7], [4, 1], [15, 1], [18, 1]], 1/4147200], [[[1, 2], [2, 7], [4, 1], [18, 1], [20, 1]], 1/2764800], [[[1, 2], [2, 7], [4, 1], [18, 1], [24, 1]], 1/3317760], [[[1, 2], [2, 7], [4, 1], [18, 1], [30, 1]], 1/4147200], [[[1, 2], [2, 7], [4, 2], [5, 1], [6, 4]], 22417/2293235712000], [[[1, 2], [2, 7], [4, 2], [5, 1], [8, 2]], 1277/2831155200], [[[1, 2], [2, 7], [4, 2], [5, 1], [10, 2]], 25361/8847360000], [[[1, 2], [2, 7], [4, 2], [5, 1], [12, 2]], 17/4246732800], [[[1, 2], [2, 7], [4, 2], [5, 1], [15, 1]], 17/442368000], [[[1, 2], [2, 7], [4, 2], [5, 1], [20, 1]], 17/294912000], [[[1, 2], [2, 7], [4, 2], [5, 1], [24, 1]], 17/353894400], [[[1, 2], [2, 7], [4, 2], [5, 1], [30, 1]], 17/442368000], [[[1, 2], [2, 7], [4, 2], [5, 2], [6, 2]], 7411/95551488000], [[[1, 2], [2, 7], [4, 2], [5, 2], [8, 1]], 653/42467328000], [[[1, 2], [2, 7], [4, 2], [5, 2], [10, 1]], 3811/26542080000], [[[1, 2], [2, 7], [4, 2], [5, 2], [12, 1]], 2333/1003290624000], [[[1, 2], [2, 7], [4, 2], [6, 2], [8, 2]], 88411/30576476160], [[[1, 2], [2, 7], [4, 2], [6, 2], [10, 2]], 224923/95551488000], [[[1, 2], [2, 7], [4, 2], [6, 2], [12, 2]], 1475639/963158999040], [[[1, 2], [2, 7], [4, 2], [6, 2], [15, 1]], 1651/4777574400], [[[1, 2], [2, 7], [4, 2], [6, 2], [16, 1]], 1/663552], [[[1, 2], [2, 7], [4, 2], [6, 2], [20, 1]], 5491/3185049600], [[[1, 2], [2, 7], [4, 2], [6, 2], [24, 1]], 1651/3822059520], [[[1, 2], [2, 7], [4, 2], [6, 2], [30, 1]], 1651/4777574400], [[[1, 2], [2, 7], [4, 2], [6, 3], [7, 1]], 785/8026324992], [[[1, 2], [2, 7], [4, 2], [6, 3], [9, 1]], 2161/30958682112], [[[1, 2], [2, 7], [4, 2], [6, 3], [14, 1]], 2341/8026324992], [[[1, 2], [2, 7], [4, 2], [6, 3], [18, 1]], 1789/5733089280], [[[1, 2], [2, 7], [4, 2], [6, 4], [8, 1]], 347951/3669177139200], [[[1, 2], [2, 7], [4, 2], [6, 4], [10, 1]], 13753/91729428480], [[[1, 2], [2, 7], [4, 2], [6, 4], [12, 1]], 45591163/260052929740800], [[[1, 2], [2, 7], [4, 2], [7, 1], [9, 1]], 1/37158912], [[[1, 2], [2, 7], [4, 2], [7, 1], [14, 1]], 229/144506880], [[[1, 2], [2, 7], [4, 2], [7, 1], [18, 1]], 17/111476736], [[[1, 2], [2, 7], [4, 2], [8, 1], [10, 2]], 73229/42467328000], [[[1, 2], [2, 7], [4, 2], [8, 1], [12, 2]], 653/20384317440], [[[1, 2], [2, 7], [4, 2], [8, 1], [15, 1]], 653/2123366400], [[[1, 2], [2, 7], [4, 2], [8, 1], [16, 1]], 1651/1189085184], [[[1, 2], [2, 7], [4, 2], [8, 1], [20, 1]], 1229/1415577600], [[[1, 2], [2, 7], [4, 2], [8, 1], [24, 1]], 361/339738624], [[[1, 2], [2, 7], [4, 2], [8, 1], [30, 1]], 653/2123366400], [[[1, 2], [2, 7], [4, 2], [8, 2], [10, 1]], 55543/8493465600], [[[1, 2], [2, 7], [4, 2], [8, 2], [12, 1]], 146753/321052999680], [[[1, 2], [2, 7], [4, 2], [9, 1], [14, 1]], 43/111476736], [[[1, 2], [2, 7], [4, 2], [9, 1], [18, 1]], 1487/2149908480], [[[1, 2], [2, 7], [4, 2], [10, 1], [12, 2]], 14179/12740198400], [[[1, 2], [2, 7], [4, 2], [10, 1], [15, 1]], 71/265420800], [[[1, 2], [2, 7], [4, 2], [10, 1], [16, 1]], 1/307200], [[[1, 2], [2, 7], [4, 2], [10, 1], [20, 1]], 2659/884736000], [[[1, 2], [2, 7], [4, 2], [10, 1], [24, 1]], 71/212336640], [[[1, 2], [2, 7], [4, 2], [10, 1], [30, 1]], 71/265420800], [[[1, 2], [2, 7], [4, 2], [10, 2], [12, 1]], 800669/1003290624000], [[[1, 2], [2, 7], [4, 2], [12, 1], [15, 1]], 2333/50164531200], [[[1, 2], [2, 7], [4, 2], [12, 1], [16, 1]], 1/2949120], [[[1, 2], [2, 7], [4, 2], [12, 1], [20, 1]], 2437/6688604160], [[[1, 2], [2, 7], [4, 2], [12, 1], [24, 1]], 2333/5733089280], [[[1, 2], [2, 7], [4, 2], [12, 1], [30, 1]], 2333/50164531200], [[[1, 2], [2, 7], [4, 2], [14, 1], [18, 1]], 229/111476736], [[[1, 2], [2, 7], [4, 3], [5, 1], [6, 3]], 43/716636160], [[[1, 2], [2, 7], [4, 3], [5, 1], [7, 1]], 1/41287680], [[[1, 2], [2, 7], [4, 3], [5, 1], [9, 1]], 1/53084160], [[[1, 2], [2, 7], [4, 3], [5, 1], [14, 1]], 1/2949120], [[[1, 2], [2, 7], [4, 3], [5, 1], [18, 1]], 1/9953280], [[[1, 2], [2, 7], [4, 3], [5, 2], [6, 1]], 3233/573308928000], [[[1, 2], [2, 7], [4, 3], [6, 1], [8, 2]], 83167/36691771392], [[[1, 2], [2, 7], [4, 3], [6, 1], [10, 2]], 270209/573308928000], [[[1, 2], [2, 7], [4, 3], [6, 1], [12, 2]], 17389/55037657088], [[[1, 2], [2, 7], [4, 3], [6, 1], [15, 1]], 3233/28665446400], [[[1, 2], [2, 7], [4, 3], [6, 1], [16, 1]], 37/477757440], [[[1, 2], [2, 7], [4, 3], [6, 1], [20, 1]], 7969/19110297600], [[[1, 2], [2, 7], [4, 3], [6, 1], [24, 1]], 3233/22932357120], [[[1, 2], [2, 7], [4, 3], [6, 1], [30, 1]], 3233/28665446400], [[[1, 2], [2, 7], [4, 3], [6, 2], [7, 1]], 19/111476736], [[[1, 2], [2, 7], [4, 3], [6, 2], [9, 1]], 19/143327232], [[[1, 2], [2, 7], [4, 3], [6, 2], [14, 1]], 5/6967296], [[[1, 2], [2, 7], [4, 3], [6, 2], [18, 1]], 17393/51597803520], [[[1, 2], [2, 7], [4, 3], [6, 3], [8, 1]], 6143/18345885696], [[[1, 2], [2, 7], [4, 3], [6, 3], [10, 1]], 2837/7166361600], [[[1, 2], [2, 7], [4, 3], [6, 3], [12, 1]], 4531/10192158720], [[[1, 2], [2, 7], [4, 3], [7, 1], [8, 1]], 1/5505024], [[[1, 2], [2, 7], [4, 3], [7, 1], [10, 1]], 1/22937600], [[[1, 2], [2, 7], [4, 3], [7, 1], [12, 1]], 1/17694720], [[[1, 2], [2, 7], [4, 3], [8, 1], [9, 1]], 35/254803968], [[[1, 2], [2, 7], [4, 3], [8, 1], [14, 1]], 1/393216], [[[1, 2], [2, 7], [4, 3], [8, 1], [18, 1]], 191/254803968], [[[1, 2], [2, 7], [4, 3], [9, 1], [10, 1]], 1/29491200], [[[1, 2], [2, 7], [4, 3], [9, 1], [12, 1]], 7/159252480], [[[1, 2], [2, 7], [4, 3], [10, 1], [14, 1]], 59/103219200], [[[1, 2], [2, 7], [4, 3], [10, 1], [18, 1]], 17/99532800], [[[1, 2], [2, 7], [4, 3], [12, 1], [14, 1]], 19/20643840], [[[1, 2], [2, 7], [4, 3], [12, 1], [18, 1]], 1/3732480], [[[1, 2], [2, 7], [4, 4], [5, 1], [6, 2]], 2461/19110297600], [[[1, 2], [2, 7], [4, 4], [5, 1], [8, 1]], 23/188743680], [[[1, 2], [2, 7], [4, 4], [5, 1], [10, 1]], 1771/8847360000], [[[1, 2], [2, 7], [4, 4], [5, 1], [12, 1]], 47/1061683200], [[[1, 2], [2, 7], [4, 4], [6, 1], [7, 1]], 9469/401316249600], [[[1, 2], [2, 7], [4, 4], [6, 1], [9, 1]], 1691/96745881600], [[[1, 2], [2, 7], [4, 4], [6, 1], [14, 1]], 49999/114661785600], [[[1, 2], [2, 7], [4, 4], [6, 1], [18, 1]], 7622659/57789539942400], [[[1, 2], [2, 7], [4, 4], [6, 2], [8, 1]], 443591/687970713600], [[[1, 2], [2, 7], [4, 4], [6, 2], [10, 1]], 582793/1719926784000], [[[1, 2], [2, 7], [4, 4], [6, 2], [12, 1]], 160662091/308210879692800], [[[1, 2], [2, 7], [4, 4], [8, 1], [10, 1]], 5123/10616832000], [[[1, 2], [2, 7], [4, 4], [8, 1], [12, 1]], 71/127401984], [[[1, 2], [2, 7], [4, 4], [10, 1], [12, 1]], 1093/3185049600], [[[1, 2], [2, 7], [4, 5], [5, 1], [6, 1]], 17587/1146617856000], [[[1, 2], [2, 7], [4, 5], [6, 1], [8, 1]], 21233/146767085568], [[[1, 2], [2, 7], [4, 5], [6, 1], [10, 1]], 9979/286654464000], [[[1, 2], [2, 7], [4, 5], [6, 1], [12, 1]], 27533/343985356800], [[[1, 2], [2, 7], [5, 1], [6, 2], [8, 2]], 1/79626240], [[[1, 2], [2, 7], [5, 1], [6, 2], [10, 2]], 217/248832000], [[[1, 2], [2, 7], [5, 1], [6, 2], [12, 2]], 19/119439360], [[[1, 2], [2, 7], [5, 1], [6, 2], [15, 1]], 1/12441600], [[[1, 2], [2, 7], [5, 1], [6, 2], [20, 1]], 1/8294400], [[[1, 2], [2, 7], [5, 1], [6, 2], [24, 1]], 1/9953280], [[[1, 2], [2, 7], [5, 1], [6, 2], [30, 1]], 1/12441600], [[[1, 2], [2, 7], [5, 1], [6, 3], [14, 1]], 1/34836480], [[[1, 2], [2, 7], [5, 1], [6, 3], [18, 1]], 7/134369280], [[[1, 2], [2, 7], [5, 1], [6, 4], [10, 1]], 401/29859840000], [[[1, 2], [2, 7], [5, 1], [6, 4], [12, 1]], 1/71663616], [[[1, 2], [2, 7], [5, 1], [8, 2], [10, 1]], 1/36864000], [[[1, 2], [2, 7], [5, 1], [10, 1], [12, 2]], 1/55296000], [[[1, 2], [2, 7], [5, 1], [10, 1], [15, 1]], 1/5760000], [[[1, 2], [2, 7], [5, 1], [10, 1], [20, 1]], 1/3840000], [[[1, 2], [2, 7], [5, 1], [10, 1], [24, 1]], 1/4608000], [[[1, 2], [2, 7], [5, 1], [10, 1], [30, 1]], 1/5760000], [[[1, 2], [2, 7], [5, 1], [14, 1], [18, 1]], 1/483840], [[[1, 2], [2, 7], [5, 2], [6, 1], [7, 1]], 19/5225472000], [[[1, 2], [2, 7], [5, 2], [6, 1], [9, 1]], 7/2519424000], [[[1, 2], [2, 7], [5, 2], [6, 1], [14, 1]], 49/1492992000], [[[1, 2], [2, 7], [5, 2], [6, 1], [18, 1]], 7849/752467968000], [[[1, 2], [2, 7], [5, 2], [6, 2], [8, 1]], 29/2239488000], [[[1, 2], [2, 7], [5, 2], [6, 2], [10, 1]], 943/22394880000], [[[1, 2], [2, 7], [5, 2], [6, 2], [12, 1]], 31201/4013162496000], [[[1, 2], [2, 7], [5, 2], [8, 1], [10, 1]], 17/552960000], [[[1, 2], [2, 7], [6, 1], [7, 1], [8, 2]], 19/1672151040], [[[1, 2], [2, 7], [6, 1], [7, 1], [10, 2]], 16867/5225472000], [[[1, 2], [2, 7], [6, 1], [7, 1], [12, 2]], 19/2508226560], [[[1, 2], [2, 7], [6, 1], [7, 1], [15, 1]], 19/261273600], [[[1, 2], [2, 7], [6, 1], [7, 1], [20, 1]], 19/174182400], [[[1, 2], [2, 7], [6, 1], [7, 1], [24, 1]], 19/209018880], [[[1, 2], [2, 7], [6, 1], [7, 1], [30, 1]], 19/261273600], [[[1, 2], [2, 7], [6, 1], [8, 2], [9, 1]], 7/806215680], [[[1, 2], [2, 7], [6, 1], [8, 2], [14, 1]], 3583/3344302080], [[[1, 2], [2, 7], [6, 1], [8, 2], [18, 1]], 75889/240789749760], [[[1, 2], [2, 7], [6, 1], [9, 1], [10, 2]], 6001/2519424000], [[[1, 2], [2, 7], [6, 1], [9, 1], [12, 2]], 7/1209323520], [[[1, 2], [2, 7], [6, 1], [9, 1], [15, 1]], 7/125971200], [[[1, 2], [2, 7], [6, 1], [9, 1], [20, 1]], 7/83980800], [[[1, 2], [2, 7], [6, 1], [9, 1], [24, 1]], 7/100776960], [[[1, 2], [2, 7], [6, 1], [9, 1], [30, 1]], 7/125971200], [[[1, 2], [2, 7], [6, 1], [10, 2], [14, 1]], 124759/10450944000], [[[1, 2], [2, 7], [6, 1], [10, 2], [18, 1]], 3854377/752467968000], [[[1, 2], [2, 7], [6, 1], [12, 2], [14, 1]], 49/716636160], [[[1, 2], [2, 7], [6, 1], [12, 2], [18, 1]], 7849/361184624640], [[[1, 2], [2, 7], [6, 1], [14, 1], [15, 1]], 49/74649600], [[[1, 2], [2, 7], [6, 1], [14, 1], [20, 1]], 49/49766400], [[[1, 2], [2, 7], [6, 1], [14, 1], [24, 1]], 49/59719680], [[[1, 2], [2, 7], [6, 1], [14, 1], [30, 1]], 49/74649600], [[[1, 2], [2, 7], [6, 1], [15, 1], [18, 1]], 7849/37623398400], [[[1, 2], [2, 7], [6, 1], [18, 1], [20, 1]], 7849/25082265600], [[[1, 2], [2, 7], [6, 1], [18, 1], [24, 1]], 7849/30098718720], [[[1, 2], [2, 7], [6, 1], [18, 1], [30, 1]], 7849/37623398400], [[[1, 2], [2, 7], [6, 2], [7, 1], [9, 1]], 1/5225472], [[[1, 2], [2, 7], [6, 2], [7, 1], [14, 1]], 23/4064256], [[[1, 2], [2, 7], [6, 2], [7, 1], [18, 1]], 349/470292480], [[[1, 2], [2, 7], [6, 2], [8, 1], [10, 2]], 3781/1119744000], [[[1, 2], [2, 7], [6, 2], [8, 1], [12, 2]], 1871/4299816960], [[[1, 2], [2, 7], [6, 2], [8, 1], [15, 1]], 29/111974400], [[[1, 2], [2, 7], [6, 2], [8, 1], [16, 1]], 1/1327104], [[[1, 2], [2, 7], [6, 2], [8, 1], [20, 1]], 29/74649600], [[[1, 2], [2, 7], [6, 2], [8, 1], [24, 1]], 29/89579520], [[[1, 2], [2, 7], [6, 2], [8, 1], [30, 1]], 29/111974400], [[[1, 2], [2, 7], [6, 2], [8, 2], [10, 1]], 4831/7166361600], [[[1, 2], [2, 7], [6, 2], [8, 2], [12, 1]], 280681/1284211998720], [[[1, 2], [2, 7], [6, 2], [9, 1], [14, 1]], 25/15676416], [[[1, 2], [2, 7], [6, 2], [9, 1], [18, 1]], 1303/906992640], [[[1, 2], [2, 7], [6, 2], [10, 1], [12, 2]], 11743/10749542400], [[[1, 2], [2, 7], [6, 2], [10, 1], [15, 1]], 943/1119744000], [[[1, 2], [2, 7], [6, 2], [10, 1], [20, 1]], 943/746496000], [[[1, 2], [2, 7], [6, 2], [10, 1], [24, 1]], 943/895795200], [[[1, 2], [2, 7], [6, 2], [10, 1], [30, 1]], 943/1119744000], [[[1, 2], [2, 7], [6, 2], [10, 2], [12, 1]], 14328673/4013162496000], [[[1, 2], [2, 7], [6, 2], [12, 1], [15, 1]], 31201/200658124800], [[[1, 2], [2, 7], [6, 2], [12, 1], [20, 1]], 31201/133772083200], [[[1, 2], [2, 7], [6, 2], [12, 1], [24, 1]], 31201/160526499840], [[[1, 2], [2, 7], [6, 2], [12, 1], [30, 1]], 31201/200658124800], [[[1, 2], [2, 7], [6, 2], [14, 1], [18, 1]], 3103/940584960], [[[1, 2], [2, 7], [6, 3], [7, 1], [8, 1]], 25/167215104], [[[1, 2], [2, 7], [6, 3], [7, 1], [10, 1]], 37/34836480], [[[1, 2], [2, 7], [6, 3], [7, 1], [12, 1]], 1339/2508226560], [[[1, 2], [2, 7], [6, 3], [8, 1], [9, 1]], 25/214990848], [[[1, 2], [2, 7], [6, 3], [8, 1], [14, 1]], 29/23887872], [[[1, 2], [2, 7], [6, 3], [8, 1], [18, 1]], 1729/3224862720], [[[1, 2], [2, 7], [6, 3], [9, 1], [10, 1]], 1543/2015539200], [[[1, 2], [2, 7], [6, 3], [9, 1], [12, 1]], 59/151165440], [[[1, 2], [2, 7], [6, 3], [10, 1], [14, 1]], 13/3628800], [[[1, 2], [2, 7], [6, 3], [10, 1], [18, 1]], 3803/2015539200], [[[1, 2], [2, 7], [6, 3], [12, 1], [14, 1]], 11383/5016453120], [[[1, 2], [2, 7], [6, 3], [12, 1], [18, 1]], 2479/2675441664], [[[1, 2], [2, 7], [6, 4], [8, 1], [10, 1]], 3091/5308416000], [[[1, 2], [2, 7], [6, 4], [8, 1], [12, 1]], 1381/4299816960], [[[1, 2], [2, 7], [6, 4], [10, 1], [12, 1]], 12383/10749542400], [[[1, 2], [2, 7], [7, 1], [8, 1], [14, 1]], 1/602112], [[[1, 2], [2, 7], [7, 1], [8, 1], [18, 1]], 1/2322432], [[[1, 2], [2, 7], [7, 1], [9, 1], [10, 1]], 1/2419200], [[[1, 2], [2, 7], [7, 1], [10, 1], [14, 1]], 9/627200], [[[1, 2], [2, 7], [7, 1], [10, 1], [18, 1]], 1/483840], [[[1, 2], [2, 7], [8, 1], [9, 1], [14, 1]], 1/774144], [[[1, 2], [2, 7], [8, 1], [9, 1], [18, 1]], 1/2985984], [[[1, 2], [2, 7], [8, 1], [10, 1], [12, 2]], 17/265420800], [[[1, 2], [2, 7], [8, 1], [10, 1], [15, 1]], 17/27648000], [[[1, 2], [2, 7], [8, 1], [10, 1], [16, 1]], 1/614400], [[[1, 2], [2, 7], [8, 1], [10, 1], [20, 1]], 17/18432000], [[[1, 2], [2, 7], [8, 1], [10, 1], [24, 1]], 17/22118400], [[[1, 2], [2, 7], [8, 1], [10, 1], [30, 1]], 17/27648000], [[[1, 2], [2, 7], [8, 1], [14, 1], [18, 1]], 11/2322432], [[[1, 2], [2, 7], [9, 1], [10, 1], [14, 1]], 37/7257600], [[[1, 2], [2, 7], [9, 1], [10, 1], [18, 1]], 97/27993600], [[[1, 2], [2, 7], [10, 1], [14, 1], [18, 1]], 1/100800], [[[1, 2], [2, 9], [3, 1], [4, 1], [6, 5]], 23150849/1733686198272000], [[[1, 2], [2, 9], [3, 1], [4, 2], [5, 2]], 48511/481579499520000], [[[1, 2], [2, 9], [3, 1], [4, 2], [6, 4]], 5218509311/124825406275584000], [[[1, 2], [2, 9], [3, 1], [4, 2], [8, 2]], 4153591/154105439846400], [[[1, 2], [2, 9], [3, 1], [4, 2], [10, 2]], 8902783/481579499520000], [[[1, 2], [2, 9], [3, 1], [4, 2], [12, 2]], 10867/46231631953920], [[[1, 2], [2, 9], [3, 1], [4, 2], [15, 1]], 48511/24078974976000], [[[1, 2], [2, 9], [3, 1], [4, 2], [20, 1]], 48511/16052649984000], [[[1, 2], [2, 9], [3, 1], [4, 2], [24, 1]], 48511/19263179980800], [[[1, 2], [2, 9], [3, 1], [4, 2], [30, 1]], 48511/24078974976000], [[[1, 2], [2, 9], [3, 1], [4, 3], [6, 3]], 37747/825564856320], [[[1, 2], [2, 9], [3, 1], [4, 3], [7, 1]], 1/594542592], [[[1, 2], [2, 9], [3, 1], [4, 3], [9, 1]], 138091/57789539942400], [[[1, 2], [2, 9], [3, 1], [4, 3], [14, 1]], 5/148635648], [[[1, 2], [2, 9], [3, 1], [4, 3], [18, 1]], 11/1146617856], [[[1, 2], [2, 9], [3, 1], [4, 4], [5, 1]], 2882311/1926317998080000], [[[1, 2], [2, 9], [3, 1], [4, 4], [6, 2]], 33573943/1981355655168000], [[[1, 2], [2, 9], [3, 1], [4, 4], [8, 1]], 34067371/3082108796928000], [[[1, 2], [2, 9], [3, 1], [4, 4], [10, 1]], 1651/764411904000], [[[1, 2], [2, 9], [3, 1], [4, 4], [12, 1]], 7374281/2311581597696000], [[[1, 2], [2, 9], [3, 1], [4, 5], [6, 1]], 9532091/4623163195392000], [[[1, 2], [2, 9], [3, 1], [5, 1], [6, 4]], 57366461/6501323243520000], [[[1, 2], [2, 9], [3, 1], [5, 1], [8, 2]], 61/8026324992000], [[[1, 2], [2, 9], [3, 1], [5, 1], [10, 2]], 1596733/25082265600000], [[[1, 2], [2, 9], [3, 1], [5, 1], [12, 2]], 61/12039487488000], [[[1, 2], [2, 9], [3, 1], [5, 1], [15, 1]], 61/1254113280000], [[[1, 2], [2, 9], [3, 1], [5, 1], [20, 1]], 61/836075520000], [[[1, 2], [2, 9], [3, 1], [5, 1], [24, 1]], 61/1003290624000], [[[1, 2], [2, 9], [3, 1], [5, 1], [30, 1]], 61/1254113280000], [[[1, 2], [2, 9], [3, 1], [5, 2], [6, 2]], 20893/25798901760000], [[[1, 2], [2, 9], [3, 1], [5, 2], [8, 1]], 121/40131624960000], [[[1, 2], [2, 9], [3, 1], [5, 2], [10, 1]], 1/9953280000], [[[1, 2], [2, 9], [3, 1], [5, 2], [12, 1]], 13/4299816960000], [[[1, 2], [2, 9], [3, 1], [6, 2], [8, 2]], 124573/8255648563200], [[[1, 2], [2, 9], [3, 1], [6, 2], [10, 2]], 20518429/25798901760000], [[[1, 2], [2, 9], [3, 1], [6, 2], [12, 2]], 170251/12383472844800], [[[1, 2], [2, 9], [3, 1], [6, 2], [15, 1]], 20893/1289945088000], [[[1, 2], [2, 9], [3, 1], [6, 2], [20, 1]], 20893/859963392000], [[[1, 2], [2, 9], [3, 1], [6, 2], [24, 1]], 26653/1031956070400], [[[1, 2], [2, 9], [3, 1], [6, 2], [30, 1]], 20893/1289945088000], [[[1, 2], [2, 9], [3, 1], [6, 3], [7, 1]], 241/5016453120], [[[1, 2], [2, 9], [3, 1], [6, 3], [9, 1]], 1213163/27862813900800], [[[1, 2], [2, 9], [3, 1], [6, 3], [14, 1]], 73/125411328], [[[1, 2], [2, 9], [3, 1], [6, 3], [18, 1]], 429133/2321901158400], [[[1, 2], [2, 9], [3, 1], [6, 4], [8, 1]], 428377721/10402117189632000], [[[1, 2], [2, 9], [3, 1], [6, 4], [10, 1]], 743041/2579890176000], [[[1, 2], [2, 9], [3, 1], [6, 4], [12, 1]], 160560383/1114512556032000], [[[1, 2], [2, 9], [3, 1], [7, 1], [9, 1]], 61/1053455155200], [[[1, 2], [2, 9], [3, 1], [8, 1], [10, 2]], 3048313/40131624960000], [[[1, 2], [2, 9], [3, 1], [8, 1], [12, 2]], 121/19263179980800], [[[1, 2], [2, 9], [3, 1], [8, 1], [15, 1]], 121/2006581248000], [[[1, 2], [2, 9], [3, 1], [8, 1], [20, 1]], 121/1337720832000], [[[1, 2], [2, 9], [3, 1], [8, 1], [24, 1]], 121/1605264998400], [[[1, 2], [2, 9], [3, 1], [8, 1], [30, 1]], 121/2006581248000], [[[1, 2], [2, 9], [3, 1], [8, 2], [10, 1]], 73/3185049600], [[[1, 2], [2, 9], [3, 1], [8, 2], [12, 1]], 13/1375941427200], [[[1, 2], [2, 9], [3, 1], [9, 1], [14, 1]], 4021/2106910310400], [[[1, 2], [2, 9], [3, 1], [9, 1], [18, 1]], 203/386983526400], [[[1, 2], [2, 9], [3, 1], [10, 1], [12, 2]], 1/4777574400], [[[1, 2], [2, 9], [3, 1], [10, 1], [15, 1]], 1/497664000], [[[1, 2], [2, 9], [3, 1], [10, 1], [20, 1]], 1/331776000], [[[1, 2], [2, 9], [3, 1], [10, 1], [24, 1]], 1/398131200], [[[1, 2], [2, 9], [3, 1], [10, 1], [30, 1]], 1/497664000], [[[1, 2], [2, 9], [3, 1], [10, 2], [12, 1]], 331789/4299816960000], [[[1, 2], [2, 9], [3, 1], [12, 1], [15, 1]], 13/214990848000], [[[1, 2], [2, 9], [3, 1], [12, 1], [20, 1]], 13/143327232000], [[[1, 2], [2, 9], [3, 1], [12, 1], [24, 1]], 13/171992678400], [[[1, 2], [2, 9], [3, 1], [12, 1], [30, 1]], 13/214990848000], [[[1, 2], [2, 9], [3, 1], [14, 1], [18, 1]], 1/41803776], [[[1, 2], [2, 9], [3, 2], [4, 1], [6, 4]], 2897/82556485632], [[[1, 2], [2, 9], [3, 2], [4, 1], [12, 2]], 121/9631589990400], [[[1, 2], [2, 9], [3, 2], [4, 2], [6, 3]], 1008989/23115815976960], [[[1, 2], [2, 9], [3, 2], [4, 2], [9, 1]], 48511/43342154956800], [[[1, 2], [2, 9], [3, 2], [4, 2], [14, 1]], 1/33030144], [[[1, 2], [2, 9], [3, 2], [4, 2], [18, 1]], 1/127401984], [[[1, 2], [2, 9], [3, 2], [4, 3], [5, 1]], 1/1274019840], [[[1, 2], [2, 9], [3, 2], [4, 3], [6, 2]], 33082331/1849265278156800], [[[1, 2], [2, 9], [3, 2], [4, 3], [8, 1]], 31/4076863488], [[[1, 2], [2, 9], [3, 2], [4, 3], [12, 1]], 364891/308210879692800], [[[1, 2], [2, 9], [3, 2], [4, 4], [6, 1]], 7021873/2641807540224000], [[[1, 2], [2, 9], [3, 2], [5, 1], [6, 3]], 241/9555148800], [[[1, 2], [2, 9], [3, 2], [5, 1], [9, 1]], 61/2257403904000], [[[1, 2], [2, 9], [3, 2], [5, 2], [6, 1]], 8203/34398535680000], [[[1, 2], [2, 9], [3, 2], [6, 1], [8, 2]], 25963/11007531417600], [[[1, 2], [2, 9], [3, 2], [6, 1], [10, 2]], 2302219/34398535680000], [[[1, 2], [2, 9], [3, 2], [6, 1], [12, 2]], 7501/16511297126400], [[[1, 2], [2, 9], [3, 2], [6, 1], [15, 1]], 523/1719926784000], [[[1, 2], [2, 9], [3, 2], [6, 1], [20, 1]], 523/1146617856000], [[[1, 2], [2, 9], [3, 2], [6, 1], [24, 1]], 523/1375941427200], [[[1, 2], [2, 9], [3, 2], [6, 1], [30, 1]], 523/1719926784000], [[[1, 2], [2, 9], [3, 2], [6, 2], [7, 1]], 91901/33710564966400], [[[1, 2], [2, 9], [3, 2], [6, 2], [9, 1]], 6863/619173642240], [[[1, 2], [2, 9], [3, 2], [6, 2], [14, 1]], 32694581/67421129932800], [[[1, 2], [2, 9], [3, 2], [6, 2], [18, 1]], 315211/2476694568960], [[[1, 2], [2, 9], [3, 2], [6, 3], [8, 1]], 1501867/38526359961600], [[[1, 2], [2, 9], [3, 2], [6, 3], [10, 1]], 12769751/48157949952000], [[[1, 2], [2, 9], [3, 2], [6, 3], [12, 1]], 18506897/148601674137600], [[[1, 2], [2, 9], [3, 2], [7, 1], [12, 1]], 61/5618427494400], [[[1, 2], [2, 9], [3, 2], [8, 1], [9, 1]], 121/3611846246400], [[[1, 2], [2, 9], [3, 2], [9, 1], [10, 1]], 1/895795200], [[[1, 2], [2, 9], [3, 2], [9, 1], [12, 1]], 13/309586821120], [[[1, 2], [2, 9], [3, 2], [10, 1], [14, 1]], 1/19353600], [[[1, 2], [2, 9], [3, 2], [10, 1], [18, 1]], 1/74649600], [[[1, 2], [2, 9], [3, 2], [12, 1], [14, 1]], 4021/11236854988800], [[[1, 2], [2, 9], [3, 2], [12, 1], [18, 1]], 203/2063912140800], [[[1, 2], [2, 9], [3, 3], [4, 1], [6, 3]], 1002221/34673723965440], [[[1, 2], [2, 9], [3, 3], [4, 1], [14, 1]], 1/2229534720], [[[1, 2], [2, 9], [3, 3], [4, 1], [18, 1]], 1/8599633920], [[[1, 2], [2, 9], [3, 3], [4, 2], [6, 2]], 130049719/12482540627558400], [[[1, 2], [2, 9], [3, 3], [4, 2], [8, 1]], 23/183458856960], [[[1, 2], [2, 9], [3, 3], [4, 2], [10, 1]], 7/34398535680], [[[1, 2], [2, 9], [3, 3], [4, 2], [12, 1]], 1312709/6241270313779200], [[[1, 2], [2, 9], [3, 3], [4, 3], [6, 1]], 3161/2476694568960], [[[1, 2], [2, 9], [3, 3], [5, 1], [6, 2]], 91901/72236924928000], [[[1, 2], [2, 9], [3, 3], [5, 1], [12, 1]], 61/12039487488000], [[[1, 2], [2, 9], [3, 3], [6, 1], [7, 1]], 1/45148078080], [[[1, 2], [2, 9], [3, 3], [6, 1], [9, 1]], 1729/9287604633600], [[[1, 2], [2, 9], [3, 3], [6, 1], [14, 1]], 13/3386105856], [[[1, 2], [2, 9], [3, 3], [6, 1], [18, 1]], 21053/20897110425600], [[[1, 2], [2, 9], [3, 3], [6, 2], [8, 1]], 4238443/346737239654400], [[[1, 2], [2, 9], [3, 3], [6, 2], [10, 1]], 29341/464380231680], [[[1, 2], [2, 9], [3, 3], [6, 2], [12, 1]], 446567/111451255603200], [[[1, 2], [2, 9], [3, 3], [8, 1], [10, 1]], 1/2388787200], [[[1, 2], [2, 9], [3, 3], [8, 1], [12, 1]], 121/19263179980800], [[[1, 2], [2, 9], [3, 3], [10, 1], [12, 1]], 1/4777574400], [[[1, 2], [2, 9], [3, 4], [4, 1], [5, 1]], 121/8668430991360000], [[[1, 2], [2, 9], [3, 4], [4, 1], [6, 2]], 286349/37150418534400], [[[1, 2], [2, 9], [3, 4], [4, 1], [8, 1]], 20231/27738979172352000], [[[1, 2], [2, 9], [3, 4], [4, 1], [10, 1]], 2466193/8668430991360000], [[[1, 2], [2, 9], [3, 4], [4, 1], [12, 1]], 121/5201058594816000], [[[1, 2], [2, 9], [3, 4], [4, 2], [6, 1]], 2195797/2080423437926400], [[[1, 2], [2, 9], [3, 4], [5, 1], [6, 1]], 1/95551488000], [[[1, 2], [2, 9], [3, 4], [6, 1], [8, 1]], 146561/10402117189632000], [[[1, 2], [2, 9], [3, 4], [6, 1], [10, 1]], 36369413/13002646487040000], [[[1, 2], [2, 9], [3, 4], [6, 1], [12, 1]], 66473/1486016741376000], [[[1, 2], [2, 9], [3, 5], [4, 1], [6, 1]], 261641/15603175784448000], [[[1, 2], [2, 9], [4, 1], [5, 1], [6, 4]], 106624121/8668430991360000], [[[1, 2], [2, 9], [4, 1], [5, 1], [8, 2]], 121/10701766656000], [[[1, 2], [2, 9], [4, 1], [5, 1], [10, 2]], 3048313/33443020800000], [[[1, 2], [2, 9], [4, 1], [5, 1], [12, 2]], 121/16052649984000], [[[1, 2], [2, 9], [4, 1], [5, 1], [15, 1]], 121/1672151040000], [[[1, 2], [2, 9], [4, 1], [5, 1], [20, 1]], 121/1114767360000], [[[1, 2], [2, 9], [4, 1], [5, 1], [24, 1]], 121/1337720832000], [[[1, 2], [2, 9], [4, 1], [5, 1], [30, 1]], 121/1672151040000], [[[1, 2], [2, 9], [4, 1], [5, 2], [6, 2]], 53/47775744000], [[[1, 2], [2, 9], [4, 1], [5, 2], [8, 1]], 20231/107017666560000], [[[1, 2], [2, 9], [4, 1], [5, 2], [10, 1]], 46993/33443020800000], [[[1, 2], [2, 9], [4, 1], [5, 2], [12, 1]], 121/20065812480000], [[[1, 2], [2, 9], [4, 1], [6, 2], [8, 2]], 1621/15288238080], [[[1, 2], [2, 9], [4, 1], [6, 2], [10, 2]], 11231/15925248000], [[[1, 2], [2, 9], [4, 1], [6, 2], [12, 2]], 405701/9631589990400], [[[1, 2], [2, 9], [4, 1], [6, 2], [15, 1]], 53/2388787200], [[[1, 2], [2, 9], [4, 1], [6, 2], [20, 1]], 53/1592524800], [[[1, 2], [2, 9], [4, 1], [6, 2], [24, 1]], 53/1911029760], [[[1, 2], [2, 9], [4, 1], [6, 2], [30, 1]], 53/2388787200], [[[1, 2], [2, 9], [4, 1], [6, 3], [7, 1]], 241/6688604160], [[[1, 2], [2, 9], [4, 1], [6, 3], [9, 1]], 241/8599633920], [[[1, 2], [2, 9], [4, 1], [6, 3], [14, 1]], 485/1337720832], [[[1, 2], [2, 9], [4, 1], [6, 3], [18, 1]], 215/1719926784], [[[1, 2], [2, 9], [4, 1], [6, 4], [8, 1]], 2232493831/27738979172352000], [[[1, 2], [2, 9], [4, 1], [6, 4], [10, 1]], 1612018193/8668430991360000], [[[1, 2], [2, 9], [4, 1], [6, 4], [12, 1]], 558182921/5201058594816000], [[[1, 2], [2, 9], [4, 1], [7, 1], [14, 1]], 3361/78033715200], [[[1, 2], [2, 9], [4, 1], [7, 1], [18, 1]], 1/92897280], [[[1, 2], [2, 9], [4, 1], [8, 1], [10, 2]], 55323143/107017666560000], [[[1, 2], [2, 9], [4, 1], [8, 1], [12, 2]], 20231/51368479948800], [[[1, 2], [2, 9], [4, 1], [8, 1], [15, 1]], 20231/5350883328000], [[[1, 2], [2, 9], [4, 1], [8, 1], [16, 1]], 121/35672555520], [[[1, 2], [2, 9], [4, 1], [8, 1], [20, 1]], 24103/3567255552000], [[[1, 2], [2, 9], [4, 1], [8, 1], [24, 1]], 373/57076088832], [[[1, 2], [2, 9], [4, 1], [8, 1], [30, 1]], 20231/5350883328000], [[[1, 2], [2, 9], [4, 1], [8, 2], [10, 1]], 2496433/10701766656000], [[[1, 2], [2, 9], [4, 1], [8, 2], [12, 1]], 121/6421059993600], [[[1, 2], [2, 9], [4, 1], [9, 1], [14, 1]], 1/30965760], [[[1, 2], [2, 9], [4, 1], [9, 1], [18, 1]], 961/100329062400], [[[1, 2], [2, 9], [4, 1], [10, 1], [12, 2]], 46993/16052649984000], [[[1, 2], [2, 9], [4, 1], [10, 1], [15, 1]], 46993/1672151040000], [[[1, 2], [2, 9], [4, 1], [10, 1], [20, 1]], 46993/1114767360000], [[[1, 2], [2, 9], [4, 1], [10, 1], [24, 1]], 46993/1337720832000], [[[1, 2], [2, 9], [4, 1], [10, 1], [30, 1]], 46993/1672151040000], [[[1, 2], [2, 9], [4, 1], [10, 2], [12, 1]], 3048313/20065812480000], [[[1, 2], [2, 9], [4, 1], [12, 1], [15, 1]], 121/1003290624000], [[[1, 2], [2, 9], [4, 1], [12, 1], [16, 1]], 121/133772083200], [[[1, 2], [2, 9], [4, 1], [12, 1], [20, 1]], 121/133772083200], [[[1, 2], [2, 9], [4, 1], [12, 1], [24, 1]], 121/114661785600], [[[1, 2], [2, 9], [4, 1], [12, 1], [30, 1]], 121/1003290624000], [[[1, 2], [2, 9], [4, 1], [14, 1], [18, 1]], 5/18579456], [[[1, 2], [2, 9], [4, 2], [5, 1], [6, 3]], 3377/114661785600], [[[1, 2], [2, 9], [4, 2], [5, 1], [14, 1]], 17/412876800], [[[1, 2], [2, 9], [4, 2], [5, 1], [18, 1]], 17/1592524800], [[[1, 2], [2, 9], [4, 2], [5, 2], [6, 1]], 7429/8026324992000], [[[1, 2], [2, 9], [4, 2], [6, 1], [8, 2]], 327217/2568423997440], [[[1, 2], [2, 9], [4, 2], [6, 1], [10, 2]], 1948837/8026324992000], [[[1, 2], [2, 9], [4, 2], [6, 1], [12, 2]], 284749/19263179980800], [[[1, 2], [2, 9], [4, 2], [6, 1], [15, 1]], 3397/401316249600], [[[1, 2], [2, 9], [4, 2], [6, 1], [16, 1]], 1/79626240], [[[1, 2], [2, 9], [4, 2], [6, 1], [20, 1]], 1217/53508833280], [[[1, 2], [2, 9], [4, 2], [6, 1], [24, 1]], 3397/321052999680], [[[1, 2], [2, 9], [4, 2], [6, 1], [30, 1]], 3397/401316249600], [[[1, 2], [2, 9], [4, 2], [6, 2], [7, 1]], 113/10032906240], [[[1, 2], [2, 9], [4, 2], [6, 2], [9, 1]], 659/77396705280], [[[1, 2], [2, 9], [4, 2], [6, 2], [14, 1]], 3823/10032906240], [[[1, 2], [2, 9], [4, 2], [6, 2], [18, 1]], 26267/240789749760], [[[1, 2], [2, 9], [4, 2], [6, 3], [8, 1]], 46253/275188285440], [[[1, 2], [2, 9], [4, 2], [6, 3], [10, 1]], 9979/42998169600], [[[1, 2], [2, 9], [4, 2], [6, 3], [12, 1]], 65448877/520105859481600], [[[1, 2], [2, 9], [4, 2], [7, 1], [8, 1]], 23/1981808640], [[[1, 2], [2, 9], [4, 2], [7, 1], [10, 1]], 1/51609600], [[[1, 2], [2, 9], [4, 2], [7, 1], [12, 1]], 61/1404606873600], [[[1, 2], [2, 9], [4, 2], [8, 1], [9, 1]], 23/2548039680], [[[1, 2], [2, 9], [4, 2], [8, 1], [14, 1]], 169/495452160], [[[1, 2], [2, 9], [4, 2], [8, 1], [18, 1]], 361/3822059520], [[[1, 2], [2, 9], [4, 2], [9, 1], [10, 1]], 7/477757440], [[[1, 2], [2, 9], [4, 2], [9, 1], [12, 1]], 13/386983526400], [[[1, 2], [2, 9], [4, 2], [10, 1], [14, 1]], 1/3276800], [[[1, 2], [2, 9], [4, 2], [10, 1], [18, 1]], 53/597196800], [[[1, 2], [2, 9], [4, 2], [12, 1], [14, 1]], 140101/2809213747200], [[[1, 2], [2, 9], [4, 2], [12, 1], [18, 1]], 6683/515978035200], [[[1, 2], [2, 9], [4, 3], [5, 1], [6, 2]], 433/57330892800], [[[1, 2], [2, 9], [4, 3], [5, 1], [8, 1]], 61/5662310400], [[[1, 2], [2, 9], [4, 3], [5, 1], [10, 1]], 23/1769472000], [[[1, 2], [2, 9], [4, 3], [5, 1], [12, 1]], 121/4013162496000], [[[1, 2], [2, 9], [4, 3], [6, 1], [7, 1]], 191/26754416640], [[[1, 2], [2, 9], [4, 3], [6, 1], [9, 1]], 191/34398535680], [[[1, 2], [2, 9], [4, 3], [6, 1], [14, 1]], 107/836075520], [[[1, 2], [2, 9], [4, 3], [6, 1], [18, 1]], 2193851/57789539942400], [[[1, 2], [2, 9], [4, 3], [6, 2], [8, 1]], 5563/45864714240], [[[1, 2], [2, 9], [4, 3], [6, 2], [10, 1]], 6869/57330892800], [[[1, 2], [2, 9], [4, 3], [6, 2], [12, 1]], 15316891/308210879692800], [[[1, 2], [2, 9], [4, 3], [8, 1], [10, 1]], 151/1415577600], [[[1, 2], [2, 9], [4, 3], [8, 1], [12, 1]], 5629/366917713920], [[[1, 2], [2, 9], [4, 3], [10, 1], [12, 1]], 133933/4013162496000], [[[1, 2], [2, 9], [4, 4], [5, 1], [6, 1]], 12811/2293235712000], [[[1, 2], [2, 9], [4, 4], [6, 1], [8, 1]], 141204611/3082108796928000], [[[1, 2], [2, 9], [4, 4], [6, 1], [10, 1]], 105603263/3852635996160000], [[[1, 2], [2, 9], [4, 4], [6, 1], [12, 1]], 48530071/3082108796928000], [[[1, 2], [2, 9], [5, 1], [6, 1], [8, 2]], 1/9555148800], [[[1, 2], [2, 9], [5, 1], [6, 1], [10, 2]], 2593/29859840000], [[[1, 2], [2, 9], [5, 1], [6, 1], [12, 2]], 1/14332723200], [[[1, 2], [2, 9], [5, 1], [6, 1], [15, 1]], 1/1492992000], [[[1, 2], [2, 9], [5, 1], [6, 1], [20, 1]], 1/995328000], [[[1, 2], [2, 9], [5, 1], [6, 1], [24, 1]], 1/1194393600], [[[1, 2], [2, 9], [5, 1], [6, 1], [30, 1]], 1/1492992000], [[[1, 2], [2, 9], [5, 1], [6, 2], [14, 1]], 1/11612160], [[[1, 2], [2, 9], [5, 1], [6, 2], [18, 1]], 61/2687385600], [[[1, 2], [2, 9], [5, 1], [6, 3], [10, 1]], 61/1492992000], [[[1, 2], [2, 9], [5, 1], [6, 3], [12, 1]], 241/14332723200], [[[1, 2], [2, 9], [5, 1], [10, 1], [14, 1]], 1/5376000], [[[1, 2], [2, 9], [5, 1], [10, 1], [18, 1]], 1/20736000], [[[1, 2], [2, 9], [5, 2], [6, 1], [8, 1]], 12161/40131624960000], [[[1, 2], [2, 9], [5, 2], [6, 1], [10, 1]], 81413/50164531200000], [[[1, 2], [2, 9], [5, 2], [6, 1], [12, 1]], 203/5733089280000], [[[1, 2], [2, 9], [6, 1], [7, 1], [9, 1]], 1/627056640], [[[1, 2], [2, 9], [6, 1], [7, 1], [14, 1]], 53/487710720], [[[1, 2], [2, 9], [6, 1], [7, 1], [18, 1]], 23021/1053455155200], [[[1, 2], [2, 9], [6, 1], [8, 1], [10, 2]], 16124033/40131624960000], [[[1, 2], [2, 9], [6, 1], [8, 1], [12, 2]], 12161/19263179980800], [[[1, 2], [2, 9], [6, 1], [8, 1], [15, 1]], 12161/2006581248000], [[[1, 2], [2, 9], [6, 1], [8, 1], [16, 1]], 1/159252480], [[[1, 2], [2, 9], [6, 1], [8, 1], [20, 1]], 12161/1337720832000], [[[1, 2], [2, 9], [6, 1], [8, 1], [24, 1]], 12161/1605264998400], [[[1, 2], [2, 9], [6, 1], [8, 1], [30, 1]], 12161/2006581248000], [[[1, 2], [2, 9], [6, 1], [8, 2], [10, 1]], 897893/16052649984000], [[[1, 2], [2, 9], [6, 1], [8, 2], [12, 1]], 21803/1834588569600], [[[1, 2], [2, 9], [6, 1], [9, 1], [14, 1]], 23/376233984], [[[1, 2], [2, 9], [6, 1], [9, 1], [18, 1]], 7013/290237644800], [[[1, 2], [2, 9], [6, 1], [10, 1], [12, 2]], 81413/24078974976000], [[[1, 2], [2, 9], [6, 1], [10, 1], [15, 1]], 81413/2508226560000], [[[1, 2], [2, 9], [6, 1], [10, 1], [20, 1]], 81413/1672151040000], [[[1, 2], [2, 9], [6, 1], [10, 1], [24, 1]], 81413/2006581248000], [[[1, 2], [2, 9], [6, 1], [10, 1], [30, 1]], 81413/2508226560000], [[[1, 2], [2, 9], [6, 1], [10, 2], [12, 1]], 1472459/5733089280000], [[[1, 2], [2, 9], [6, 1], [12, 1], [15, 1]], 203/286654464000], [[[1, 2], [2, 9], [6, 1], [12, 1], [20, 1]], 203/191102976000], [[[1, 2], [2, 9], [6, 1], [12, 1], [24, 1]], 203/229323571200], [[[1, 2], [2, 9], [6, 1], [12, 1], [30, 1]], 203/286654464000], [[[1, 2], [2, 9], [6, 1], [14, 1], [18, 1]], 515861/2106910310400], [[[1, 2], [2, 9], [6, 2], [7, 1], [8, 1]], 1/52254720], [[[1, 2], [2, 9], [6, 2], [7, 1], [10, 1]], 7/49766400], [[[1, 2], [2, 9], [6, 2], [7, 1], [12, 1]], 91901/5618427494400], [[[1, 2], [2, 9], [6, 2], [8, 1], [9, 1]], 1/67184640], [[[1, 2], [2, 9], [6, 2], [8, 1], [14, 1]], 31/104509440], [[[1, 2], [2, 9], [6, 2], [8, 1], [18, 1]], 108587/1203948748800], [[[1, 2], [2, 9], [6, 2], [9, 1], [10, 1]], 427/4031078400], [[[1, 2], [2, 9], [6, 2], [9, 1], [12, 1]], 19373/1547934105600], [[[1, 2], [2, 9], [6, 2], [10, 1], [14, 1]], 361/348364800], [[[1, 2], [2, 9], [6, 2], [10, 1], [18, 1]], 535991/1504935936000], [[[1, 2], [2, 9], [6, 2], [12, 1], [14, 1]], 2051381/11236854988800], [[[1, 2], [2, 9], [6, 2], [12, 1], [18, 1]], 1541/27518828544], [[[1, 2], [2, 9], [6, 3], [8, 1], [10, 1]], 71/358318080], [[[1, 2], [2, 9], [6, 3], [8, 1], [12, 1]], 140729/2140353331200], [[[1, 2], [2, 9], [6, 3], [10, 1], [12, 1]], 687517/2675441664000], [[[1, 2], [2, 9], [7, 1], [8, 1], [10, 1]], 1/25804800], [[[1, 2], [2, 9], [8, 1], [9, 1], [10, 1]], 1/33177600], [[[1, 2], [2, 9], [8, 1], [10, 1], [14, 1]], 1/1433600], [[[1, 2], [2, 9], [8, 1], [10, 1], [18, 1]], 1/4976640], [[[1, 2], [2, 11], [3, 1], [4, 1], [5, 2]], 271/481579499520000], [[[1, 2], [2, 11], [3, 1], [4, 1], [6, 4]], 120571463/13869489586176000], [[[1, 2], [2, 11], [3, 1], [4, 1], [8, 2]], 71/4403012567040], [[[1, 2], [2, 11], [3, 1], [4, 1], [10, 2]], 3919231/481579499520000], [[[1, 2], [2, 11], [3, 1], [4, 1], [12, 2]], 271/231158159769600], [[[1, 2], [2, 11], [3, 1], [4, 1], [15, 1]], 127/24078974976000], [[[1, 2], [2, 11], [3, 1], [4, 1], [20, 1]], 127/16052649984000], [[[1, 2], [2, 11], [3, 1], [4, 1], [24, 1]], 127/19263179980800], [[[1, 2], [2, 11], [3, 1], [4, 1], [30, 1]], 127/24078974976000], [[[1, 2], [2, 11], [3, 1], [4, 2], [6, 3]], 28547107/6241270313779200], [[[1, 2], [2, 11], [3, 1], [4, 2], [9, 1]], 1091/46231631953920], [[[1, 2], [2, 11], [3, 1], [4, 2], [14, 1]], 48511/22473709977600], [[[1, 2], [2, 11], [3, 1], [4, 2], [18, 1]], 48511/86684309913600], [[[1, 2], [2, 11], [3, 1], [4, 3], [5, 1]], 1891/64210599936000], [[[1, 2], [2, 11], [3, 1], [4, 3], [6, 2]], 93269/44030125670400], [[[1, 2], [2, 11], [3, 1], [4, 3], [8, 1]], 21631/34245653299200], [[[1, 2], [2, 11], [3, 1], [4, 3], [10, 1]], 29/25480396800], [[[1, 2], [2, 11], [3, 1], [4, 3], [12, 1]], 3607/92463263907840], [[[1, 2], [2, 11], [3, 1], [4, 4], [6, 1]], 116905/221911833378816], [[[1, 2], [2, 11], [3, 1], [5, 1], [6, 3]], 59161/130026464870400], [[[1, 2], [2, 11], [3, 1], [5, 1], [7, 1]], 1/2341011456000], [[[1, 2], [2, 11], [3, 1], [5, 1], [9, 1]], 1/2006581248000], [[[1, 2], [2, 11], [3, 1], [5, 1], [14, 1]], 41/780337152000], [[[1, 2], [2, 11], [3, 1], [5, 1], [18, 1]], 1/72236924928], [[[1, 2], [2, 11], [3, 1], [5, 2], [6, 1]], 103/72236924928000], [[[1, 2], [2, 11], [3, 1], [6, 1], [8, 2]], 1529/16511297126400], [[[1, 2], [2, 11], [3, 1], [6, 1], [10, 2]], 2249959/72236924928000], [[[1, 2], [2, 11], [3, 1], [6, 1], [12, 2]], 113/6934744793088], [[[1, 2], [2, 11], [3, 1], [6, 1], [15, 1]], 103/3611846246400], [[[1, 2], [2, 11], [3, 1], [6, 1], [20, 1]], 103/2407897497600], [[[1, 2], [2, 11], [3, 1], [6, 1], [24, 1]], 551/14447384985600], [[[1, 2], [2, 11], [3, 1], [6, 1], [30, 1]], 103/3611846246400], [[[1, 2], [2, 11], [3, 1], [6, 2], [7, 1]], 4481/11236854988800], [[[1, 2], [2, 11], [3, 1], [6, 2], [9, 1]], 55291/130026464870400], [[[1, 2], [2, 11], [3, 1], [6, 2], [14, 1]], 598447/33710564966400], [[[1, 2], [2, 11], [3, 1], [6, 2], [18, 1]], 209131/43342154956800], [[[1, 2], [2, 11], [3, 1], [6, 3], [8, 1]], 2232031/520105859481600], [[[1, 2], [2, 11], [3, 1], [6, 3], [10, 1]], 2308351/72236924928000], [[[1, 2], [2, 11], [3, 1], [6, 3], [12, 1]], 185903/44580502241280], [[[1, 2], [2, 11], [3, 1], [7, 1], [8, 1]], 1/1872809164800], [[[1, 2], [2, 11], [3, 1], [7, 1], [12, 1]], 1/1872809164800], [[[1, 2], [2, 11], [3, 1], [8, 1], [9, 1]], 139/28894769971200], [[[1, 2], [2, 11], [3, 1], [8, 1], [14, 1]], 61/936404582400], [[[1, 2], [2, 11], [3, 1], [8, 1], [18, 1]], 31/1805923123200], [[[1, 2], [2, 11], [3, 1], [9, 1], [10, 1]], 41/722369249280], [[[1, 2], [2, 11], [3, 1], [9, 1], [12, 1]], 1/2407897497600], [[[1, 2], [2, 11], [3, 1], [10, 1], [14, 1]], 1/464486400], [[[1, 2], [2, 11], [3, 1], [10, 1], [18, 1]], 1/1791590400], [[[1, 2], [2, 11], [3, 1], [12, 1], [14, 1]], 367/5618427494400], [[[1, 2], [2, 11], [3, 1], [12, 1], [18, 1]], 373/21671077478400], [[[1, 2], [2, 11], [3, 2], [4, 1], [6, 3]], 102857/30821087969280], [[[1, 2], [2, 11], [3, 2], [4, 1], [9, 1]], 127/43342154956800], [[[1, 2], [2, 11], [3, 2], [4, 2], [6, 2]], 283397/211344603217920], [[[1, 2], [2, 11], [3, 2], [4, 2], [10, 1]], 1/1415577600], [[[1, 2], [2, 11], [3, 2], [4, 2], [12, 1]], 16493/3698530556313600], [[[1, 2], [2, 11], [3, 2], [4, 3], [6, 1]], 92641/231158159769600], [[[1, 2], [2, 11], [3, 2], [5, 1], [6, 2]], 4481/21403533312000], [[[1, 2], [2, 11], [3, 2], [5, 1], [8, 1]], 1/4013162496000], [[[1, 2], [2, 11], [3, 2], [5, 1], [12, 1]], 1/3567255552000], [[[1, 2], [2, 11], [3, 2], [6, 1], [7, 1]], 5/1348422598656], [[[1, 2], [2, 11], [3, 2], [6, 1], [9, 1]], 811/43342154956800], [[[1, 2], [2, 11], [3, 2], [6, 1], [14, 1]], 11107/33710564966400], [[[1, 2], [2, 11], [3, 2], [6, 1], [18, 1]], 541/6191736422400], [[[1, 2], [2, 11], [3, 2], [6, 2], [8, 1]], 15677/34245653299200], [[[1, 2], [2, 11], [3, 2], [6, 2], [10, 1]], 773777/64210599936000], [[[1, 2], [2, 11], [3, 2], [6, 2], [12, 1]], 3959/12383472844800], [[[1, 2], [2, 11], [3, 2], [8, 1], [12, 1]], 1/880602513408], [[[1, 2], [2, 11], [3, 2], [10, 1], [12, 1]], 41/3852635996160], [[[1, 2], [2, 11], [3, 3], [4, 1], [5, 1]], 1/144473849856000], [[[1, 2], [2, 11], [3, 3], [4, 1], [6, 2]], 582271/1386948958617600], [[[1, 2], [2, 11], [3, 3], [4, 1], [8, 1]], 197/693474479308800], [[[1, 2], [2, 11], [3, 3], [4, 1], [10, 1]], 1513/144473849856000], [[[1, 2], [2, 11], [3, 3], [4, 1], [12, 1]], 389/693474479308800], [[[1, 2], [2, 11], [3, 3], [4, 2], [6, 1]], 447323/6241270313779200], [[[1, 2], [2, 11], [3, 3], [5, 1], [6, 1]], 1/577895399424], [[[1, 2], [2, 11], [3, 3], [6, 1], [8, 1]], 653/173368619827200], [[[1, 2], [2, 11], [3, 3], [6, 1], [10, 1]], 61631/650132324352000], [[[1, 2], [2, 11], [3, 3], [6, 1], [12, 1]], 239/44580502241280], [[[1, 2], [2, 11], [3, 4], [4, 1], [6, 1]], 46679/41608468758528000], [[[1, 2], [2, 11], [4, 1], [5, 1], [6, 3]], 72271/108355387392000], [[[1, 2], [2, 11], [4, 1], [5, 1], [7, 1]], 1/1560674304000], [[[1, 2], [2, 11], [4, 1], [5, 1], [9, 1]], 1/2006581248000], [[[1, 2], [2, 11], [4, 1], [5, 1], [14, 1]], 61/780337152000], [[[1, 2], [2, 11], [4, 1], [5, 1], [18, 1]], 31/1504935936000], [[[1, 2], [2, 11], [4, 1], [5, 2], [6, 1]], 191/17836277760000], [[[1, 2], [2, 11], [4, 1], [6, 1], [8, 2]], 6103/3424565329920], [[[1, 2], [2, 11], [4, 1], [6, 1], [10, 2]], 78949/2140353331200], [[[1, 2], [2, 11], [4, 1], [6, 1], [12, 2]], 529/11007531417600], [[[1, 2], [2, 11], [4, 1], [6, 1], [15, 1]], 191/891813888000], [[[1, 2], [2, 11], [4, 1], [6, 1], [20, 1]], 191/594542592000], [[[1, 2], [2, 11], [4, 1], [6, 1], [24, 1]], 191/713451110400], [[[1, 2], [2, 11], [4, 1], [6, 1], [30, 1]], 191/891813888000], [[[1, 2], [2, 11], [4, 1], [6, 2], [7, 1]], 1/1337720832], [[[1, 2], [2, 11], [4, 1], [6, 2], [9, 1]], 1/1719926784], [[[1, 2], [2, 11], [4, 1], [6, 2], [14, 1]], 41/1672151040], [[[1, 2], [2, 11], [4, 1], [6, 2], [18, 1]], 33053/4815794995200], [[[1, 2], [2, 11], [4, 1], [6, 3], [8, 1]], 672449/86684309913600], [[[1, 2], [2, 11], [4, 1], [6, 3], [10, 1]], 3048643/108355387392000], [[[1, 2], [2, 11], [4, 1], [6, 3], [12, 1]], 2576521/416084687585280], [[[1, 2], [2, 11], [4, 1], [7, 1], [8, 1]], 11/416179814400], [[[1, 2], [2, 11], [4, 1], [7, 1], [10, 1]], 1513/1560674304000], [[[1, 2], [2, 11], [4, 1], [7, 1], [12, 1]], 1/936404582400], [[[1, 2], [2, 11], [4, 1], [8, 1], [9, 1]], 197/9631589990400], [[[1, 2], [2, 11], [4, 1], [8, 1], [14, 1]], 10181/2497078886400], [[[1, 2], [2, 11], [4, 1], [8, 1], [18, 1]], 1289/1203948748800], [[[1, 2], [2, 11], [4, 1], [9, 1], [10, 1]], 1513/2006581248000], [[[1, 2], [2, 11], [4, 1], [9, 1], [12, 1]], 1/1203948748800], [[[1, 2], [2, 11], [4, 1], [10, 1], [14, 1]], 24253/780337152000], [[[1, 2], [2, 11], [4, 1], [10, 1], [18, 1]], 12883/1504935936000], [[[1, 2], [2, 11], [4, 1], [12, 1], [14, 1]], 61/468202291200], [[[1, 2], [2, 11], [4, 1], [12, 1], [18, 1]], 31/902961561600], [[[1, 2], [2, 11], [4, 2], [5, 1], [6, 2]], 79/114661785600], [[[1, 2], [2, 11], [4, 2], [5, 1], [8, 1]], 131/7134511104000], [[[1, 2], [2, 11], [4, 2], [5, 1], [10, 1]], 2153/2229534720000], [[[1, 2], [2, 11], [4, 2], [5, 1], [12, 1]], 1/1146617856000], [[[1, 2], [2, 11], [4, 2], [6, 1], [7, 1]], 1811/11236854988800], [[[1, 2], [2, 11], [4, 2], [6, 1], [9, 1]], 383/3095868211200], [[[1, 2], [2, 11], [4, 2], [6, 1], [14, 1]], 207371/22473709977600], [[[1, 2], [2, 11], [4, 2], [6, 1], [18, 1]], 192461/77052719923200], [[[1, 2], [2, 11], [4, 2], [6, 2], [8, 1]], 11303/1426902220800], [[[1, 2], [2, 11], [4, 2], [6, 2], [10, 1]], 1067/66060288000], [[[1, 2], [2, 11], [4, 2], [6, 2], [12, 1]], 4467553/1585084524134400], [[[1, 2], [2, 11], [4, 2], [8, 1], [10, 1]], 74303/7134511104000], [[[1, 2], [2, 11], [4, 2], [8, 1], [12, 1]], 29/770527199232], [[[1, 2], [2, 11], [4, 2], [10, 1], [12, 1]], 4037/3439853568000], [[[1, 2], [2, 11], [4, 3], [5, 1], [6, 1]], 3551/32105299968000], [[[1, 2], [2, 11], [4, 3], [6, 1], [8, 1]], 296663/102736959897600], [[[1, 2], [2, 11], [4, 3], [6, 1], [10, 1]], 12839/2293235712000], [[[1, 2], [2, 11], [4, 3], [6, 1], [12, 1]], 27581/38526359961600], [[[1, 2], [2, 11], [5, 1], [6, 1], [14, 1]], 1/1393459200], [[[1, 2], [2, 11], [5, 1], [6, 1], [18, 1]], 1121/6019743744000], [[[1, 2], [2, 11], [5, 1], [6, 2], [10, 1]], 7/2985984000], [[[1, 2], [2, 11], [5, 1], [6, 2], [12, 1]], 4481/32105299968000], [[[1, 2], [2, 11], [6, 1], [7, 1], [8, 1]], 281/1872809164800], [[[1, 2], [2, 11], [6, 1], [7, 1], [10, 1]], 611/260112384000], [[[1, 2], [2, 11], [6, 1], [7, 1], [12, 1]], 5/224737099776], [[[1, 2], [2, 11], [6, 1], [8, 1], [9, 1]], 281/2407897497600], [[[1, 2], [2, 11], [6, 1], [8, 1], [14, 1]], 6221/936404582400], [[[1, 2], [2, 11], [6, 1], [8, 1], [18, 1]], 2483/1375941427200], [[[1, 2], [2, 11], [6, 1], [9, 1], [10, 1]], 16271/9029615616000], [[[1, 2], [2, 11], [6, 1], [9, 1], [12, 1]], 373/21671077478400], [[[1, 2], [2, 11], [6, 1], [10, 1], [14, 1]], 28933/780337152000], [[[1, 2], [2, 11], [6, 1], [10, 1], [18, 1]], 65389/6019743744000], [[[1, 2], [2, 11], [6, 1], [12, 1], [14, 1]], 4387/5618427494400], [[[1, 2], [2, 11], [6, 1], [12, 1], [18, 1]], 103/481579499520], [[[1, 2], [2, 11], [6, 2], [8, 1], [10, 1]], 9391/668860416000], [[[1, 2], [2, 11], [6, 2], [8, 1], [12, 1]], 69397/51368479948800], [[[1, 2], [2, 11], [6, 2], [10, 1], [12, 1]], 260531/32105299968000], [[[1, 2], [2, 13], [3, 1], [4, 1], [6, 3]], 419453/2080423437926400], [[[1, 2], [2, 13], [3, 1], [4, 1], [7, 1]], 1/22473709977600], [[[1, 2], [2, 13], [3, 1], [4, 1], [9, 1]], 181/1155790798848000], [[[1, 2], [2, 13], [3, 1], [4, 1], [14, 1]], 1/175575859200], [[[1, 2], [2, 13], [3, 1], [4, 1], [18, 1]], 13/8668430991360], [[[1, 2], [2, 13], [3, 1], [4, 2], [5, 1]], 13/110075314176000], [[[1, 2], [2, 13], [3, 1], [4, 2], [6, 2]], 910799/12482540627558400], [[[1, 2], [2, 13], [3, 1], [4, 2], [8, 1]], 1777/1232843518771200], [[[1, 2], [2, 13], [3, 1], [4, 2], [10, 1]], 48541/963158999040000], [[[1, 2], [2, 13], [3, 1], [4, 2], [12, 1]], 1/6191736422400], [[[1, 2], [2, 13], [3, 1], [4, 3], [6, 1]], 12911/616421759385600], [[[1, 2], [2, 13], [3, 1], [5, 1], [6, 2]], 307/81266540544000], [[[1, 2], [2, 13], [3, 1], [5, 1], [8, 1]], 1/32105299968000], [[[1, 2], [2, 13], [3, 1], [5, 1], [10, 1]], 11/8360755200000], [[[1, 2], [2, 13], [3, 1], [6, 1], [7, 1]], 1/5618427494400], [[[1, 2], [2, 13], [3, 1], [6, 1], [9, 1]], 1961/3900793946112000], [[[1, 2], [2, 13], [3, 1], [6, 1], [14, 1]], 37/1203948748800], [[[1, 2], [2, 13], [3, 1], [6, 1], [18, 1]], 599/74300837068800], [[[1, 2], [2, 13], [3, 1], [6, 2], [8, 1]], 20117/594406696550400], [[[1, 2], [2, 13], [3, 1], [6, 2], [10, 1]], 123359/240789749760000], [[[1, 2], [2, 13], [3, 1], [6, 2], [12, 1]], 267817/24965081255116800], [[[1, 2], [2, 13], [3, 1], [8, 1], [10, 1]], 131/80263249920000], [[[1, 2], [2, 13], [3, 1], [8, 1], [12, 1]], 1/25684239974400], [[[1, 2], [2, 13], [3, 1], [10, 1], [12, 1]], 197/120394874880000], [[[1, 2], [2, 13], [3, 2], [4, 1], [5, 1]], 1/48157949952000], [[[1, 2], [2, 13], [3, 2], [4, 1], [6, 2]], 112069/4109478395904000], [[[1, 2], [2, 13], [3, 2], [4, 1], [8, 1]], 1/22015062835200], [[[1, 2], [2, 13], [3, 2], [4, 1], [12, 1]], 43/880602513408000], [[[1, 2], [2, 13], [3, 2], [4, 2], [6, 1]], 31363/7397061112627200], [[[1, 2], [2, 13], [3, 2], [5, 1], [6, 1]], 1/10701766656000], [[[1, 2], [2, 13], [3, 2], [6, 1], [8, 1]], 89/231158159769600], [[[1, 2], [2, 13], [3, 2], [6, 1], [10, 1]], 6149/722369249280000], [[[1, 2], [2, 13], [3, 2], [6, 1], [12, 1]], 563/2972033482752000], [[[1, 2], [2, 13], [3, 3], [4, 1], [6, 1]], 53/231158159769600], [[[1, 2], [2, 13], [4, 1], [5, 1], [6, 2]], 97/17336861982720], [[[1, 2], [2, 13], [4, 1], [5, 1], [8, 1]], 1/8561413324800], [[[1, 2], [2, 13], [4, 1], [5, 1], [10, 1]], 131/66886041600000], [[[1, 2], [2, 13], [4, 1], [6, 1], [7, 1]], 29/7491236659200], [[[1, 2], [2, 13], [4, 1], [6, 1], [9, 1]], 29/9631589990400], [[[1, 2], [2, 13], [4, 1], [6, 1], [14, 1]], 437/1872809164800], [[[1, 2], [2, 13], [4, 1], [6, 1], [18, 1]], 24127/385263599616000], [[[1, 2], [2, 13], [4, 1], [6, 2], [8, 1]], 85171/693474479308800], [[[1, 2], [2, 13], [4, 1], [6, 2], [10, 1]], 365629/433421549568000], [[[1, 2], [2, 13], [4, 1], [6, 2], [12, 1]], 9357727/166433875034112000], [[[1, 2], [2, 13], [4, 1], [8, 1], [10, 1]], 10783/107017666560000], [[[1, 2], [2, 13], [4, 1], [8, 1], [12, 1]], 1/12842119987200], [[[1, 2], [2, 13], [4, 1], [10, 1], [12, 1]], 131/40131624960000], [[[1, 2], [2, 13], [4, 2], [5, 1], [6, 1]], 7/1834588569600], [[[1, 2], [2, 13], [4, 2], [6, 1], [8, 1]], 5891/82189567918080], [[[1, 2], [2, 13], [4, 2], [6, 1], [10, 1]], 140557/513684799488000], [[[1, 2], [2, 13], [4, 2], [6, 1], [12, 1]], 326851/23776267862016000], [[[1, 2], [2, 13], [5, 1], [6, 1], [10, 1]], 113/6688604160000], [[[1, 2], [2, 13], [5, 1], [6, 1], [12, 1]], 1/16052649984000], [[[1, 2], [2, 13], [6, 1], [8, 1], [10, 1]], 1699/8918138880000], [[[1, 2], [2, 13], [6, 1], [8, 1], [12, 1]], 13/7705271992320], [[[1, 2], [2, 13], [6, 1], [10, 1], [12, 1]], 2759/120394874880000], [[[1, 2], [2, 15], [3, 1], [4, 1], [5, 1]], 1/1284211998720000], [[[1, 2], [2, 15], [3, 1], [4, 1], [6, 2]], 65257/55477958344704000], [[[1, 2], [2, 15], [3, 1], [4, 1], [8, 1]], 31/6164217593856000], [[[1, 2], [2, 15], [3, 1], [4, 1], [10, 1]], 137/963158999040000], [[[1, 2], [2, 15], [3, 1], [4, 1], [12, 1]], 1/1027369598976000], [[[1, 2], [2, 15], [3, 1], [4, 2], [6, 1]], 119171/499301625102336000], [[[1, 2], [2, 15], [3, 1], [5, 1], [6, 1]], 79/13002646487040000], [[[1, 2], [2, 15], [3, 1], [6, 1], [8, 1]], 61/2972033482752000], [[[1, 2], [2, 15], [3, 1], [6, 1], [10, 1]], 437/577895399424000], [[[1, 2], [2, 15], [3, 1], [6, 1], [12, 1]], 517/62412703137792000], [[[1, 2], [2, 15], [3, 2], [4, 1], [6, 1]], 19/1155790798848000], [[[1, 2], [2, 15], [4, 1], [5, 1], [6, 1]], 157/17336861982720000], [[[1, 2], [2, 15], [4, 1], [6, 1], [8, 1]], 25811/55477958344704000], [[[1, 2], [2, 15], [4, 1], [6, 1], [10, 1]], 691/108355387392000], [[[1, 2], [2, 15], [4, 1], [6, 1], [12, 1]], 643/10402117189632000], [[[1, 2], [2, 17], [3, 1], [4, 1], [6, 1]], 15209/15533828336517120000], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 4]], 13/18432000], [[[1, 3], [2, 2], [3, 1], [4, 1], [6, 8]], 323/18575209267200], [[[1, 3], [2, 2], [3, 1], [4, 1], [8, 4]], 61/5242880], [[[1, 3], [2, 2], [3, 1], [4, 1], [10, 4]], 1/92160000], [[[1, 3], [2, 2], [3, 1], [4, 1], [12, 4]], 4549/955514880], [[[1, 3], [2, 2], [3, 1], [4, 1], [15, 2]], 1/230400], [[[1, 3], [2, 2], [3, 1], [4, 1], [16, 2]], 1/49152], [[[1, 3], [2, 2], [3, 1], [4, 1], [20, 2]], 1/61440], [[[1, 3], [2, 2], [3, 1], [4, 1], [24, 2]], 1/49152], [[[1, 3], [2, 2], [3, 1], [4, 1], [30, 2]], 1/230400], [[[1, 3], [2, 2], [3, 1], [4, 1], [40, 1]], 1/5120], [[[1, 3], [2, 2], [3, 1], [4, 1], [48, 1]], 1/6144], [[[1, 3], [2, 2], [3, 1], [4, 1], [60, 1]], 1/7680], [[[1, 3], [2, 2], [3, 1], [4, 2], [6, 7]], 13/1393140695040], [[[1, 3], [2, 2], [3, 1], [4, 3], [5, 3]], 1/13824000], [[[1, 3], [2, 2], [3, 1], [4, 3], [6, 6]], 1/51597803520], [[[1, 3], [2, 2], [3, 1], [4, 3], [8, 3]], 125/28311552], [[[1, 3], [2, 2], [3, 1], [4, 3], [9, 2]], 1/2239488], [[[1, 3], [2, 2], [3, 1], [4, 3], [10, 3]], 1/27648000], [[[1, 3], [2, 2], [3, 1], [4, 3], [12, 3]], 1211/47775744], [[[1, 3], [2, 2], [3, 1], [4, 3], [28, 1]], 5/32256], [[[1, 3], [2, 2], [3, 1], [4, 3], [36, 1]], 1/20736], [[[1, 3], [2, 2], [3, 1], [4, 4], [6, 5]], 401/1238347284480], [[[1, 3], [2, 2], [3, 1], [4, 5], [5, 2]], 119/10616832000], [[[1, 3], [2, 2], [3, 1], [4, 5], [6, 4]], 61/917294284800], [[[1, 3], [2, 2], [3, 1], [4, 5], [8, 2]], 2921/3397386240], [[[1, 3], [2, 2], [3, 1], [4, 5], [10, 2]], 23/10616832000], [[[1, 3], [2, 2], [3, 1], [4, 5], [12, 2]], 8221/1698693120], [[[1, 3], [2, 2], [3, 1], [4, 5], [15, 1]], 23/530841600], [[[1, 3], [2, 2], [3, 1], [4, 5], [16, 1]], 1/884736], [[[1, 3], [2, 2], [3, 1], [4, 5], [20, 1]], 491/70778880], [[[1, 3], [2, 2], [3, 1], [4, 5], [24, 1]], 23/424673280], [[[1, 3], [2, 2], [3, 1], [4, 5], [30, 1]], 23/530841600], [[[1, 3], [2, 2], [3, 1], [4, 6], [6, 3]], 13/412782428160], [[[1, 3], [2, 2], [3, 1], [4, 6], [7, 1]], 1/1486356480], [[[1, 3], [2, 2], [3, 1], [4, 6], [9, 1]], 541/15288238080], [[[1, 3], [2, 2], [3, 1], [4, 6], [14, 1]], 1/743178240], [[[1, 3], [2, 2], [3, 1], [4, 6], [18, 1]], 1/1433272320], [[[1, 3], [2, 2], [3, 1], [4, 7], [5, 1]], 53/22295347200], [[[1, 3], [2, 2], [3, 1], [4, 7], [6, 2]], 17/64210599936], [[[1, 3], [2, 2], [3, 1], [4, 7], [8, 1]], 4433/142690222080], [[[1, 3], [2, 2], [3, 1], [4, 7], [10, 1]], 1/2123366400], [[[1, 3], [2, 2], [3, 1], [4, 7], [12, 1]], 4453/53508833280], [[[1, 3], [2, 2], [3, 1], [4, 8], [6, 1]], 239/146767085568], [[[1, 3], [2, 2], [3, 1], [5, 1], [6, 7]], 7/145118822400], [[[1, 3], [2, 2], [3, 1], [5, 2], [6, 5]], 29/16124313600], [[[1, 3], [2, 2], [3, 1], [5, 3], [6, 3]], 7/559872000], [[[1, 3], [2, 2], [3, 1], [5, 3], [7, 1]], 1/672000], [[[1, 3], [2, 2], [3, 1], [5, 3], [9, 1]], 19/15552000], [[[1, 3], [2, 2], [3, 1], [5, 3], [14, 1]], 1/672000], [[[1, 3], [2, 2], [3, 1], [5, 3], [18, 1]], 7/7776000], [[[1, 3], [2, 2], [3, 1], [5, 4], [6, 1]], 1/41472000], [[[1, 3], [2, 2], [3, 1], [6, 1], [8, 4]], 1/262144], [[[1, 3], [2, 2], [3, 1], [6, 1], [10, 4]], 1/41472000], [[[1, 3], [2, 2], [3, 1], [6, 1], [12, 4]], 323/143327232], [[[1, 3], [2, 2], [3, 1], [6, 1], [15, 2]], 1/103680], [[[1, 3], [2, 2], [3, 1], [6, 1], [16, 2]], 5/110592], [[[1, 3], [2, 2], [3, 1], [6, 1], [20, 2]], 1/27648], [[[1, 3], [2, 2], [3, 1], [6, 1], [24, 2]], 13/110592], [[[1, 3], [2, 2], [3, 1], [6, 1], [30, 2]], 1/103680], [[[1, 3], [2, 2], [3, 1], [6, 1], [40, 1]], 1/2304], [[[1, 3], [2, 2], [3, 1], [6, 1], [48, 1]], 5/13824], [[[1, 3], [2, 2], [3, 1], [6, 1], [60, 1]], 1/3456], [[[1, 3], [2, 2], [3, 1], [6, 3], [8, 3]], 13/47775744], [[[1, 3], [2, 2], [3, 1], [6, 3], [9, 2]], 13/90699264], [[[1, 3], [2, 2], [3, 1], [6, 3], [10, 3]], 1/12441600], [[[1, 3], [2, 2], [3, 1], [6, 3], [12, 3]], 1615/644972544], [[[1, 3], [2, 2], [3, 1], [6, 3], [18, 2]], 43/10077696], [[[1, 3], [2, 2], [3, 1], [6, 5], [8, 2]], 253/25798901760], [[[1, 3], [2, 2], [3, 1], [6, 5], [10, 2]], 29/16124313600], [[[1, 3], [2, 2], [3, 1], [6, 5], [12, 2]], 2429/7739670528], [[[1, 3], [2, 2], [3, 1], [6, 5], [15, 1]], 29/806215680], [[[1, 3], [2, 2], [3, 1], [6, 5], [20, 1]], 29/537477120], [[[1, 3], [2, 2], [3, 1], [6, 5], [24, 1]], 181/3224862720], [[[1, 3], [2, 2], [3, 1], [6, 5], [30, 1]], 29/806215680], [[[1, 3], [2, 2], [3, 1], [6, 6], [7, 1]], 1/1074954240], [[[1, 3], [2, 2], [3, 1], [6, 6], [9, 1]], 41/29023764480], [[[1, 3], [2, 2], [3, 1], [6, 6], [14, 1]], 1/1504935936], [[[1, 3], [2, 2], [3, 1], [6, 6], [18, 1]], 593/29023764480], [[[1, 3], [2, 2], [3, 1], [6, 7], [8, 1]], 13/38698352640], [[[1, 3], [2, 2], [3, 1], [6, 7], [10, 1]], 1/3224862720], [[[1, 3], [2, 2], [3, 1], [6, 7], [12, 1]], 287/69657034752], [[[1, 3], [2, 2], [3, 1], [7, 1], [8, 3]], 1/258048], [[[1, 3], [2, 2], [3, 1], [7, 1], [9, 2]], 1/46656], [[[1, 3], [2, 2], [3, 1], [7, 1], [12, 3]], 1/331776], [[[1, 3], [2, 2], [3, 1], [7, 2], [9, 1]], 1/56448], [[[1, 3], [2, 2], [3, 1], [8, 3], [9, 1]], 23/7962624], [[[1, 3], [2, 2], [3, 1], [8, 3], [14, 1]], 1/516096], [[[1, 3], [2, 2], [3, 1], [8, 3], [18, 1]], 1/663552], [[[1, 3], [2, 2], [3, 1], [9, 1], [10, 3]], 1/5184000], [[[1, 3], [2, 2], [3, 1], [9, 1], [12, 3]], 5/2985984], [[[1, 3], [2, 2], [3, 1], [9, 1], [14, 2]], 1/169344], [[[1, 3], [2, 2], [3, 1], [9, 1], [18, 2]], 1/279936], [[[1, 3], [2, 2], [3, 1], [9, 2], [14, 1]], 5/326592], [[[1, 3], [2, 2], [3, 1], [9, 2], [18, 1]], 67/1259712], [[[1, 3], [2, 2], [3, 1], [12, 3], [14, 1]], 5/2322432], [[[1, 3], [2, 2], [3, 1], [12, 3], [18, 1]], 13/8957952], [[[1, 3], [2, 2], [3, 2], [4, 1], [6, 7]], 71/309586821120], [[[1, 3], [2, 2], [3, 2], [4, 2], [5, 3]], 1/41472000], [[[1, 3], [2, 2], [3, 2], [4, 2], [6, 6]], 3263/550376570880], [[[1, 3], [2, 2], [3, 2], [4, 2], [8, 3]], 1/10616832], [[[1, 3], [2, 2], [3, 2], [4, 2], [9, 2]], 5/3981312], [[[1, 3], [2, 2], [3, 2], [4, 2], [12, 3]], 102895/13759414272], [[[1, 3], [2, 2], [3, 2], [4, 2], [28, 1]], 5/96768], [[[1, 3], [2, 2], [3, 2], [4, 2], [36, 1]], 5/373248], [[[1, 3], [2, 2], [3, 2], [4, 3], [6, 5]], 49/206391214080], [[[1, 3], [2, 2], [3, 2], [4, 4], [5, 2]], 221/47775744000], [[[1, 3], [2, 2], [3, 2], [4, 4], [6, 4]], 361/2476694568960], [[[1, 3], [2, 2], [3, 2], [4, 4], [8, 2]], 1241/15288238080], [[[1, 3], [2, 2], [3, 2], [4, 4], [10, 2]], 1/9555148800], [[[1, 3], [2, 2], [3, 2], [4, 4], [12, 2]], 9943/4586471424], [[[1, 3], [2, 2], [3, 2], [4, 4], [15, 1]], 1/477757440], [[[1, 3], [2, 2], [3, 2], [4, 4], [20, 1]], 77/63700992], [[[1, 3], [2, 2], [3, 2], [4, 4], [24, 1]], 1/382205952], [[[1, 3], [2, 2], [3, 2], [4, 4], [30, 1]], 1/477757440], [[[1, 3], [2, 2], [3, 2], [4, 5], [6, 3]], 71/91729428480], [[[1, 3], [2, 2], [3, 2], [4, 5], [9, 1]], 23/955514880], [[[1, 3], [2, 2], [3, 2], [4, 6], [5, 1]], 1/3185049600], [[[1, 3], [2, 2], [3, 2], [4, 6], [6, 2]], 3431/163074539520], [[[1, 3], [2, 2], [3, 2], [4, 6], [8, 1]], 1/2548039680], [[[1, 3], [2, 2], [3, 2], [4, 6], [12, 1]], 5483/440301256704], [[[1, 3], [2, 2], [3, 2], [4, 7], [6, 1]], 197/428070666240], [[[1, 3], [2, 2], [3, 2], [5, 1], [6, 6]], 61/128994508800], [[[1, 3], [2, 2], [3, 2], [5, 1], [8, 3]], 1/552960], [[[1, 3], [2, 2], [3, 2], [5, 1], [9, 2]], 11/933120], [[[1, 3], [2, 2], [3, 2], [5, 1], [12, 3]], 61/39813120], [[[1, 3], [2, 2], [3, 2], [5, 2], [6, 4]], 2021/161243136000], [[[1, 3], [2, 2], [3, 2], [5, 2], [8, 2]], 257/199065600], [[[1, 3], [2, 2], [3, 2], [5, 2], [10, 2]], 1721/622080000], [[[1, 3], [2, 2], [3, 2], [5, 2], [12, 2]], 311/298598400], [[[1, 3], [2, 2], [3, 2], [5, 2], [15, 1]], 221/31104000], [[[1, 3], [2, 2], [3, 2], [5, 2], [20, 1]], 221/20736000], [[[1, 3], [2, 2], [3, 2], [5, 2], [24, 1]], 221/24883200], [[[1, 3], [2, 2], [3, 2], [5, 2], [30, 1]], 221/31104000], [[[1, 3], [2, 2], [3, 2], [5, 3], [6, 2]], 61/497664000], [[[1, 3], [2, 2], [3, 2], [5, 3], [8, 1]], 1/1728000], [[[1, 3], [2, 2], [3, 2], [5, 3], [12, 1]], 61/82944000], [[[1, 3], [2, 2], [3, 2], [6, 2], [7, 2]], 1/1806336], [[[1, 3], [2, 2], [3, 2], [6, 2], [8, 3]], 119/254803968], [[[1, 3], [2, 2], [3, 2], [6, 2], [9, 2]], 15605/26873856], [[[1, 3], [2, 2], [3, 2], [6, 2], [10, 3]], 1/18432000], [[[1, 3], [2, 2], [3, 2], [6, 2], [12, 3]], 25/17915904], [[[1, 3], [2, 2], [3, 2], [6, 2], [14, 2]], 1/5419008], [[[1, 3], [2, 2], [3, 2], [6, 2], [18, 2]], 46777/80621568], [[[1, 3], [2, 2], [3, 2], [6, 4], [8, 2]], 5081/51597803520], [[[1, 3], [2, 2], [3, 2], [6, 4], [10, 2]], 1657/32248627200], [[[1, 3], [2, 2], [3, 2], [6, 4], [12, 2]], 15121/15479341056], [[[1, 3], [2, 2], [3, 2], [6, 4], [15, 1]], 361/1612431360], [[[1, 3], [2, 2], [3, 2], [6, 4], [20, 1]], 361/1074954240], [[[1, 3], [2, 2], [3, 2], [6, 4], [24, 1]], 4249/1289945088], [[[1, 3], [2, 2], [3, 2], [6, 4], [30, 1]], 361/1612431360], [[[1, 3], [2, 2], [3, 2], [6, 5], [7, 1]], 11/1074954240], [[[1, 3], [2, 2], [3, 2], [6, 5], [9, 1]], 241/9674588160], [[[1, 3], [2, 2], [3, 2], [6, 5], [14, 1]], 11/2508226560], [[[1, 3], [2, 2], [3, 2], [6, 5], [18, 1]], 3709/29023764480], [[[1, 3], [2, 2], [3, 2], [6, 6], [8, 1]], 599/206391214080], [[[1, 3], [2, 2], [3, 2], [6, 6], [10, 1]], 89/42998169600], [[[1, 3], [2, 2], [3, 2], [6, 6], [12, 1]], 341/12899450880], [[[1, 3], [2, 2], [3, 2], [7, 2], [12, 1]], 1/301056], [[[1, 3], [2, 2], [3, 2], [8, 1], [9, 2]], 13/1492992], [[[1, 3], [2, 2], [3, 2], [8, 1], [12, 3]], 71/63700992], [[[1, 3], [2, 2], [3, 2], [8, 2], [10, 2]], 41/199065600], [[[1, 3], [2, 2], [3, 2], [8, 2], [12, 2]], 131/95551488], [[[1, 3], [2, 2], [3, 2], [8, 2], [15, 1]], 41/9953280], [[[1, 3], [2, 2], [3, 2], [8, 2], [20, 1]], 41/6635520], [[[1, 3], [2, 2], [3, 2], [8, 2], [24, 1]], 67/2654208], [[[1, 3], [2, 2], [3, 2], [8, 2], [30, 1]], 41/9953280], [[[1, 3], [2, 2], [3, 2], [8, 3], [12, 1]], 71/42467328], [[[1, 3], [2, 2], [3, 2], [9, 2], [10, 1]], 1/933120], [[[1, 3], [2, 2], [3, 2], [9, 2], [12, 1]], 5/497664], [[[1, 3], [2, 2], [3, 2], [10, 1], [12, 3]], 1/13271040], [[[1, 3], [2, 2], [3, 2], [10, 2], [12, 2]], 19/59719680], [[[1, 3], [2, 2], [3, 2], [10, 2], [15, 1]], 1/6220800], [[[1, 3], [2, 2], [3, 2], [10, 2], [20, 1]], 1/4147200], [[[1, 3], [2, 2], [3, 2], [10, 2], [24, 1]], 1/4976640], [[[1, 3], [2, 2], [3, 2], [10, 2], [30, 1]], 1/6220800], [[[1, 3], [2, 2], [3, 2], [10, 3], [12, 1]], 1/27648000], [[[1, 3], [2, 2], [3, 2], [12, 1], [14, 2]], 1/903168], [[[1, 3], [2, 2], [3, 2], [12, 1], [18, 2]], 1/1492992], [[[1, 3], [2, 2], [3, 2], [12, 1], [36, 1]], 5/186624], [[[1, 3], [2, 2], [3, 2], [12, 2], [15, 1]], 19/2985984], [[[1, 3], [2, 2], [3, 2], [12, 2], [20, 1]], 19/1990656], [[[1, 3], [2, 2], [3, 2], [12, 2], [24, 1]], 155/11943936], [[[1, 3], [2, 2], [3, 2], [12, 2], [30, 1]], 19/2985984], [[[1, 3], [2, 2], [3, 2], [15, 1], [20, 1]], 1/207360], [[[1, 3], [2, 2], [3, 2], [15, 1], [24, 1]], 1/248832], [[[1, 3], [2, 2], [3, 2], [15, 1], [30, 1]], 1/19440], [[[1, 3], [2, 2], [3, 2], [20, 1], [24, 1]], 1/165888], [[[1, 3], [2, 2], [3, 2], [20, 1], [30, 1]], 1/207360], [[[1, 3], [2, 2], [3, 2], [24, 1], [30, 1]], 1/248832], [[[1, 3], [2, 2], [3, 3], [4, 1], [5, 3]], 1/93312000], [[[1, 3], [2, 2], [3, 3], [4, 1], [6, 6]], 4019/103195607040], [[[1, 3], [2, 2], [3, 3], [4, 1], [8, 3]], 1/3538944], [[[1, 3], [2, 2], [3, 3], [4, 1], [9, 2]], 1/746496], [[[1, 3], [2, 2], [3, 3], [4, 1], [10, 3]], 1/93312000], [[[1, 3], [2, 2], [3, 3], [4, 1], [12, 3]], 5651/2579890176], [[[1, 3], [2, 2], [3, 3], [4, 1], [28, 1]], 1/217728], [[[1, 3], [2, 2], [3, 3], [4, 1], [36, 1]], 1/279936], [[[1, 3], [2, 2], [3, 3], [4, 2], [6, 5]], 1207/1393140695040], [[[1, 3], [2, 2], [3, 3], [4, 3], [5, 2]], 1/1791590400], [[[1, 3], [2, 2], [3, 3], [4, 3], [6, 4]], 811/464380231680], [[[1, 3], [2, 2], [3, 3], [4, 3], [8, 2]], 49/573308928], [[[1, 3], [2, 2], [3, 3], [4, 3], [10, 2]], 1/1791590400], [[[1, 3], [2, 2], [3, 3], [4, 3], [12, 2]], 871/859963392], [[[1, 3], [2, 2], [3, 3], [4, 3], [15, 1]], 1/89579520], [[[1, 3], [2, 2], [3, 3], [4, 3], [16, 1]], 1/2985984], [[[1, 3], [2, 2], [3, 3], [4, 3], [20, 1]], 13/11943936], [[[1, 3], [2, 2], [3, 3], [4, 3], [24, 1]], 1/71663616], [[[1, 3], [2, 2], [3, 3], [4, 3], [30, 1]], 1/89579520], [[[1, 3], [2, 2], [3, 3], [4, 4], [6, 3]], 856669/5572562780160], [[[1, 3], [2, 2], [3, 3], [4, 4], [7, 1]], 1/2866544640], [[[1, 3], [2, 2], [3, 3], [4, 4], [9, 1]], 7/5159780352], [[[1, 3], [2, 2], [3, 3], [4, 4], [14, 1]], 1/4013162496], [[[1, 3], [2, 2], [3, 3], [4, 4], [18, 1]], 13/77396705280], [[[1, 3], [2, 2], [3, 3], [4, 5], [5, 1]], 1/7166361600], [[[1, 3], [2, 2], [3, 3], [4, 5], [6, 2]], 13/10192158720], [[[1, 3], [2, 2], [3, 3], [4, 5], [8, 1]], 203/22932357120], [[[1, 3], [2, 2], [3, 3], [4, 5], [10, 1]], 1/7166361600], [[[1, 3], [2, 2], [3, 3], [4, 5], [12, 1]], 3341/137594142720], [[[1, 3], [2, 2], [3, 3], [4, 6], [6, 1]], 37/412782428160], [[[1, 3], [2, 2], [3, 3], [5, 1], [6, 5]], 77/16124313600], [[[1, 3], [2, 2], [3, 3], [5, 2], [6, 3]], 6169/72559411200], [[[1, 3], [2, 2], [3, 3], [5, 2], [7, 1]], 1/37324800], [[[1, 3], [2, 2], [3, 3], [5, 2], [9, 1]], 1331/335923200], [[[1, 3], [2, 2], [3, 3], [5, 2], [14, 1]], 1/52254720], [[[1, 3], [2, 2], [3, 3], [5, 2], [18, 1]], 13/1007769600], [[[1, 3], [2, 2], [3, 3], [5, 3], [6, 1]], 7/62208000], [[[1, 3], [2, 2], [3, 3], [6, 1], [8, 3]], 31/143327232], [[[1, 3], [2, 2], [3, 3], [6, 1], [9, 2]], 3931/10077696], [[[1, 3], [2, 2], [3, 3], [6, 1], [10, 3]], 1/111974400], [[[1, 3], [2, 2], [3, 3], [6, 1], [12, 3]], 1615/644972544], [[[1, 3], [2, 2], [3, 3], [6, 1], [18, 2]], 13/90699264], [[[1, 3], [2, 2], [3, 3], [6, 3], [8, 2]], 14917/23219011584], [[[1, 3], [2, 2], [3, 3], [6, 3], [10, 2]], 6169/72559411200], [[[1, 3], [2, 2], [3, 3], [6, 3], [12, 2]], 214609/34828517376], [[[1, 3], [2, 2], [3, 3], [6, 3], [15, 1]], 6169/3627970560], [[[1, 3], [2, 2], [3, 3], [6, 3], [20, 1]], 6169/2418647040], [[[1, 3], [2, 2], [3, 3], [6, 3], [24, 1]], 96565/2902376448], [[[1, 3], [2, 2], [3, 3], [6, 3], [30, 1]], 6169/3627970560], [[[1, 3], [2, 2], [3, 3], [6, 4], [7, 1]], 811/9674588160], [[[1, 3], [2, 2], [3, 3], [6, 4], [9, 1]], 2977/17414258688], [[[1, 3], [2, 2], [3, 3], [6, 4], [14, 1]], 811/13544423424], [[[1, 3], [2, 2], [3, 3], [6, 4], [18, 1]], 257303/261213880320], [[[1, 3], [2, 2], [3, 3], [6, 5], [8, 1]], 3541/116095057920], [[[1, 3], [2, 2], [3, 3], [6, 5], [10, 1]], 811/29023764480], [[[1, 3], [2, 2], [3, 3], [6, 5], [12, 1]], 14965/69657034752], [[[1, 3], [2, 2], [3, 3], [7, 1], [8, 2]], 1/11943936], [[[1, 3], [2, 2], [3, 3], [7, 1], [10, 2]], 1/37324800], [[[1, 3], [2, 2], [3, 3], [7, 1], [12, 2]], 55/17915904], [[[1, 3], [2, 2], [3, 3], [7, 1], [15, 1]], 1/1866240], [[[1, 3], [2, 2], [3, 3], [7, 1], [20, 1]], 1/1244160], [[[1, 3], [2, 2], [3, 3], [7, 1], [24, 1]], 1/1492992], [[[1, 3], [2, 2], [3, 3], [7, 1], [30, 1]], 1/1866240], [[[1, 3], [2, 2], [3, 3], [8, 2], [9, 1]], 251/107495424], [[[1, 3], [2, 2], [3, 3], [8, 2], [14, 1]], 5/83607552], [[[1, 3], [2, 2], [3, 3], [8, 2], [18, 1]], 13/322486272], [[[1, 3], [2, 2], [3, 3], [9, 1], [10, 2]], 7/67184640], [[[1, 3], [2, 2], [3, 3], [9, 1], [12, 2]], 845/161243136], [[[1, 3], [2, 2], [3, 3], [9, 1], [15, 1]], 7/3359232], [[[1, 3], [2, 2], [3, 3], [9, 1], [20, 1]], 7/2239488], [[[1, 3], [2, 2], [3, 3], [9, 1], [24, 1]], 35/13436928], [[[1, 3], [2, 2], [3, 3], [9, 1], [30, 1]], 7/3359232], [[[1, 3], [2, 2], [3, 3], [10, 2], [14, 1]], 1/52254720], [[[1, 3], [2, 2], [3, 3], [10, 2], [18, 1]], 13/1007769600], [[[1, 3], [2, 2], [3, 3], [12, 2], [14, 1]], 275/125411328], [[[1, 3], [2, 2], [3, 3], [12, 2], [18, 1]], 715/483729408], [[[1, 3], [2, 2], [3, 3], [14, 1], [15, 1]], 1/2612736], [[[1, 3], [2, 2], [3, 3], [14, 1], [20, 1]], 1/1741824], [[[1, 3], [2, 2], [3, 3], [14, 1], [24, 1]], 5/10450944], [[[1, 3], [2, 2], [3, 3], [14, 1], [30, 1]], 1/2612736], [[[1, 3], [2, 2], [3, 3], [15, 1], [18, 1]], 13/50388480], [[[1, 3], [2, 2], [3, 3], [18, 1], [20, 1]], 13/33592320], [[[1, 3], [2, 2], [3, 3], [18, 1], [24, 1]], 13/40310784], [[[1, 3], [2, 2], [3, 3], [18, 1], [30, 1]], 13/50388480], [[[1, 3], [2, 2], [3, 4], [4, 1], [6, 5]], 13533317/27862813900800], [[[1, 3], [2, 2], [3, 4], [4, 2], [5, 2]], 37/22932357120], [[[1, 3], [2, 2], [3, 4], [4, 2], [6, 4]], 280494439/148601674137600], [[[1, 3], [2, 2], [3, 4], [4, 2], [8, 2]], 5137/183458856960], [[[1, 3], [2, 2], [3, 4], [4, 2], [10, 2]], 37/22932357120], [[[1, 3], [2, 2], [3, 4], [4, 2], [12, 2]], 91763/275188285440], [[[1, 3], [2, 2], [3, 4], [4, 2], [15, 1]], 349/28665446400], [[[1, 3], [2, 2], [3, 4], [4, 2], [16, 1]], 1/39813120], [[[1, 3], [2, 2], [3, 4], [4, 2], [20, 1]], 733/19110297600], [[[1, 3], [2, 2], [3, 4], [4, 2], [24, 1]], 349/22932357120], [[[1, 3], [2, 2], [3, 4], [4, 2], [30, 1]], 349/28665446400], [[[1, 3], [2, 2], [3, 4], [4, 3], [6, 3]], 108811/619173642240], [[[1, 3], [2, 2], [3, 4], [4, 3], [7, 1]], 1/3344302080], [[[1, 3], [2, 2], [3, 4], [4, 3], [9, 1]], 41/6449725440], [[[1, 3], [2, 2], [3, 4], [4, 3], [14, 1]], 1/6688604160], [[[1, 3], [2, 2], [3, 4], [4, 3], [18, 1]], 1/8599633920], [[[1, 3], [2, 2], [3, 4], [4, 4], [5, 1]], 37/137594142720], [[[1, 3], [2, 2], [3, 4], [4, 4], [6, 2]], 521/4127824281600], [[[1, 3], [2, 2], [3, 4], [4, 4], [8, 1]], 14147/5503765708800], [[[1, 3], [2, 2], [3, 4], [4, 4], [10, 1]], 121/1146617856000], [[[1, 3], [2, 2], [3, 4], [4, 4], [12, 1]], 241/34398535680], [[[1, 3], [2, 2], [3, 4], [4, 5], [6, 1]], 647/8255648563200], [[[1, 3], [2, 2], [3, 4], [5, 1], [6, 4]], 172643/2321901158400], [[[1, 3], [2, 2], [3, 4], [5, 1], [8, 2]], 113/2866544640], [[[1, 3], [2, 2], [3, 4], [5, 1], [10, 2]], 113/8957952000], [[[1, 3], [2, 2], [3, 4], [5, 1], [12, 2]], 6431/4299816960], [[[1, 3], [2, 2], [3, 4], [5, 1], [15, 1]], 113/447897600], [[[1, 3], [2, 2], [3, 4], [5, 1], [20, 1]], 113/298598400], [[[1, 3], [2, 2], [3, 4], [5, 1], [24, 1]], 113/358318080], [[[1, 3], [2, 2], [3, 4], [5, 1], [30, 1]], 113/447897600], [[[1, 3], [2, 2], [3, 4], [5, 2], [6, 2]], 7001/53747712000], [[[1, 3], [2, 2], [3, 4], [5, 2], [8, 1]], 647/71663616000], [[[1, 3], [2, 2], [3, 4], [5, 2], [10, 1]], 1/14929920000], [[[1, 3], [2, 2], [3, 4], [5, 2], [12, 1]], 673/895795200], [[[1, 3], [2, 2], [3, 4], [6, 2], [8, 2]], 1613/17199267840], [[[1, 3], [2, 2], [3, 4], [6, 2], [10, 2]], 109/10749542400], [[[1, 3], [2, 2], [3, 4], [6, 2], [12, 2]], 35249/25798901760], [[[1, 3], [2, 2], [3, 4], [6, 2], [15, 1]], 521/2687385600], [[[1, 3], [2, 2], [3, 4], [6, 2], [20, 1]], 521/1791590400], [[[1, 3], [2, 2], [3, 4], [6, 2], [24, 1]], 11321/2149908480], [[[1, 3], [2, 2], [3, 4], [6, 2], [30, 1]], 521/2687385600], [[[1, 3], [2, 2], [3, 4], [6, 3], [7, 1]], 811/9674588160], [[[1, 3], [2, 2], [3, 4], [6, 3], [9, 1]], 257303/261213880320], [[[1, 3], [2, 2], [3, 4], [6, 3], [14, 1]], 811/22574039040], [[[1, 3], [2, 2], [3, 4], [6, 3], [18, 1]], 3937/29023764480], [[[1, 3], [2, 2], [3, 4], [6, 4], [8, 1]], 1480997/18575209267200], [[[1, 3], [2, 2], [3, 4], [6, 4], [10, 1]], 1811/47775744000], [[[1, 3], [2, 2], [3, 4], [6, 4], [12, 1]], 577/5804752896], [[[1, 3], [2, 2], [3, 4], [7, 1], [9, 1]], 41/134369280], [[[1, 3], [2, 2], [3, 4], [7, 1], [14, 1]], 17/243855360], [[[1, 3], [2, 2], [3, 4], [7, 1], [18, 1]], 1/134369280], [[[1, 3], [2, 2], [3, 4], [8, 1], [10, 2]], 647/71663616000], [[[1, 3], [2, 2], [3, 4], [8, 1], [12, 2]], 37097/34398535680], [[[1, 3], [2, 2], [3, 4], [8, 1], [15, 1]], 647/3583180800], [[[1, 3], [2, 2], [3, 4], [8, 1], [16, 1]], 1/79626240], [[[1, 3], [2, 2], [3, 4], [8, 1], [20, 1]], 647/2388787200], [[[1, 3], [2, 2], [3, 4], [8, 1], [24, 1]], 647/2866544640], [[[1, 3], [2, 2], [3, 4], [8, 1], [30, 1]], 647/3583180800], [[[1, 3], [2, 2], [3, 4], [8, 2], [10, 1]], 1/4777574400], [[[1, 3], [2, 2], [3, 4], [8, 2], [12, 1]], 133/286654464], [[[1, 3], [2, 2], [3, 4], [9, 1], [14, 1]], 41/188116992], [[[1, 3], [2, 2], [3, 4], [9, 1], [18, 1]], 587/3627970560], [[[1, 3], [2, 2], [3, 4], [10, 1], [12, 2]], 271/7166361600], [[[1, 3], [2, 2], [3, 4], [10, 1], [15, 1]], 1/746496000], [[[1, 3], [2, 2], [3, 4], [10, 1], [20, 1]], 1/497664000], [[[1, 3], [2, 2], [3, 4], [10, 1], [24, 1]], 1/597196800], [[[1, 3], [2, 2], [3, 4], [10, 1], [30, 1]], 1/746496000], [[[1, 3], [2, 2], [3, 4], [10, 2], [12, 1]], 1/35831808], [[[1, 3], [2, 2], [3, 4], [12, 1], [15, 1]], 5/8957952], [[[1, 3], [2, 2], [3, 4], [12, 1], [20, 1]], 5/5971968], [[[1, 3], [2, 2], [3, 4], [12, 1], [24, 1]], 25/35831808], [[[1, 3], [2, 2], [3, 4], [12, 1], [30, 1]], 5/8957952], [[[1, 3], [2, 2], [3, 4], [14, 1], [18, 1]], 1/313528320], [[[1, 3], [2, 2], [3, 5], [4, 1], [5, 2]], 11/3981312000], [[[1, 3], [2, 2], [3, 5], [4, 1], [6, 4]], 3485593/9287604633600], [[[1, 3], [2, 2], [3, 5], [4, 1], [8, 2]], 23/3822059520], [[[1, 3], [2, 2], [3, 5], [4, 1], [10, 2]], 1/11943936000], [[[1, 3], [2, 2], [3, 5], [4, 1], [12, 2]], 1517/17199267840], [[[1, 3], [2, 2], [3, 5], [4, 1], [15, 1]], 1/597196800], [[[1, 3], [2, 2], [3, 5], [4, 1], [20, 1]], 1/398131200], [[[1, 3], [2, 2], [3, 5], [4, 1], [24, 1]], 1/477757440], [[[1, 3], [2, 2], [3, 5], [4, 1], [30, 1]], 1/597196800], [[[1, 3], [2, 2], [3, 5], [4, 2], [6, 3]], 3343/1393140695040], [[[1, 3], [2, 2], [3, 5], [4, 2], [7, 1]], 1/5016453120], [[[1, 3], [2, 2], [3, 5], [4, 2], [9, 1]], 119/17199267840], [[[1, 3], [2, 2], [3, 5], [4, 2], [14, 1]], 1/2508226560], [[[1, 3], [2, 2], [3, 5], [4, 2], [18, 1]], 1/4837294080], [[[1, 3], [2, 2], [3, 5], [4, 3], [5, 1]], 1/3583180800], [[[1, 3], [2, 2], [3, 5], [4, 3], [6, 2]], 11/51597803520], [[[1, 3], [2, 2], [3, 5], [4, 3], [8, 1]], 13/22932357120], [[[1, 3], [2, 2], [3, 5], [4, 3], [10, 1]], 1/7166361600], [[[1, 3], [2, 2], [3, 5], [4, 3], [12, 1]], 19/8599633920], [[[1, 3], [2, 2], [3, 5], [4, 4], [6, 1]], 401/1238347284480], [[[1, 3], [2, 2], [3, 5], [5, 1], [6, 3]], 5677/145118822400], [[[1, 3], [2, 2], [3, 5], [5, 1], [7, 1]], 1/174182400], [[[1, 3], [2, 2], [3, 5], [5, 1], [9, 1]], 193/1343692800], [[[1, 3], [2, 2], [3, 5], [5, 1], [14, 1]], 1/174182400], [[[1, 3], [2, 2], [3, 5], [5, 1], [18, 1]], 7/2015539200], [[[1, 3], [2, 2], [3, 5], [5, 2], [6, 1]], 29/16124313600], [[[1, 3], [2, 2], [3, 5], [6, 1], [8, 2]], 253/25798901760], [[[1, 3], [2, 2], [3, 5], [6, 1], [10, 2]], 29/16124313600], [[[1, 3], [2, 2], [3, 5], [6, 1], [12, 2]], 2429/7739670528], [[[1, 3], [2, 2], [3, 5], [6, 1], [15, 1]], 29/806215680], [[[1, 3], [2, 2], [3, 5], [6, 1], [20, 1]], 29/537477120], [[[1, 3], [2, 2], [3, 5], [6, 1], [24, 1]], 181/3224862720], [[[1, 3], [2, 2], [3, 5], [6, 1], [30, 1]], 29/806215680], [[[1, 3], [2, 2], [3, 5], [6, 2], [7, 1]], 11/1074954240], [[[1, 3], [2, 2], [3, 5], [6, 2], [9, 1]], 1097/9674588160], [[[1, 3], [2, 2], [3, 5], [6, 2], [14, 1]], 11/1504935936], [[[1, 3], [2, 2], [3, 5], [6, 2], [18, 1]], 241/9674588160], [[[1, 3], [2, 2], [3, 5], [6, 3], [8, 1]], 943/38698352640], [[[1, 3], [2, 2], [3, 5], [6, 3], [10, 1]], 11/3224862720], [[[1, 3], [2, 2], [3, 5], [6, 3], [12, 1]], 14965/69657034752], [[[1, 3], [2, 2], [3, 5], [7, 1], [8, 1]], 1/209018880], [[[1, 3], [2, 2], [3, 5], [7, 1], [12, 1]], 11/179159040], [[[1, 3], [2, 2], [3, 5], [8, 1], [9, 1]], 221/2149908480], [[[1, 3], [2, 2], [3, 5], [8, 1], [14, 1]], 1/418037760], [[[1, 3], [2, 2], [3, 5], [8, 1], [18, 1]], 1/537477120], [[[1, 3], [2, 2], [3, 5], [9, 1], [10, 1]], 1/1343692800], [[[1, 3], [2, 2], [3, 5], [9, 1], [12, 1]], 37/107495424], [[[1, 3], [2, 2], [3, 5], [12, 1], [14, 1]], 11/250822656], [[[1, 3], [2, 2], [3, 5], [12, 1], [18, 1]], 143/4837294080], [[[1, 3], [2, 2], [3, 6], [4, 1], [6, 3]], 5357/103195607040], [[[1, 3], [2, 2], [3, 6], [4, 1], [9, 1]], 1/1074954240], [[[1, 3], [2, 2], [3, 6], [4, 2], [5, 1]], 1/10749542400], [[[1, 3], [2, 2], [3, 6], [4, 2], [6, 2]], 10109/1651129712640], [[[1, 3], [2, 2], [3, 6], [4, 2], [8, 1]], 1/8599633920], [[[1, 3], [2, 2], [3, 6], [4, 2], [12, 1]], 18607/7430083706880], [[[1, 3], [2, 2], [3, 6], [4, 3], [6, 1]], 19/206391214080], [[[1, 3], [2, 2], [3, 6], [5, 1], [6, 2]], 23/4777574400], [[[1, 3], [2, 2], [3, 6], [5, 1], [8, 1]], 1/447897600], [[[1, 3], [2, 2], [3, 6], [5, 1], [12, 1]], 23/796262400], [[[1, 3], [2, 2], [3, 6], [6, 1], [7, 1]], 1/1074954240], [[[1, 3], [2, 2], [3, 6], [6, 1], [9, 1]], 593/29023764480], [[[1, 3], [2, 2], [3, 6], [6, 1], [14, 1]], 1/2508226560], [[[1, 3], [2, 2], [3, 6], [6, 1], [18, 1]], 157/87071293440], [[[1, 3], [2, 2], [3, 6], [6, 2], [8, 1]], 253/68797071360], [[[1, 3], [2, 2], [3, 6], [6, 2], [10, 1]], 1/4777574400], [[[1, 3], [2, 2], [3, 6], [6, 2], [12, 1]], 2899/116095057920], [[[1, 3], [2, 2], [3, 6], [8, 1], [12, 1]], 79/3822059520], [[[1, 3], [2, 2], [3, 6], [10, 1], [12, 1]], 1/7166361600], [[[1, 3], [2, 2], [3, 7], [4, 1], [5, 1]], 1/24186470400], [[[1, 3], [2, 2], [3, 7], [4, 1], [6, 2]], 19/103195607040], [[[1, 3], [2, 2], [3, 7], [4, 1], [8, 1]], 11/77396705280], [[[1, 3], [2, 2], [3, 7], [4, 1], [10, 1]], 1/24186470400], [[[1, 3], [2, 2], [3, 7], [4, 1], [12, 1]], 113/464380231680], [[[1, 3], [2, 2], [3, 7], [4, 2], [6, 1]], 37/1393140695040], [[[1, 3], [2, 2], [3, 7], [5, 1], [6, 1]], 7/16124313600], [[[1, 3], [2, 2], [3, 7], [6, 1], [8, 1]], 31/116095057920], [[[1, 3], [2, 2], [3, 7], [6, 1], [10, 1]], 1/29023764480], [[[1, 3], [2, 2], [3, 7], [6, 1], [12, 1]], 287/69657034752], [[[1, 3], [2, 2], [3, 8], [4, 1], [6, 1]], 143/6191736422400], [[[1, 3], [2, 2], [4, 1], [5, 1], [6, 7]], 1/32248627200], [[[1, 3], [2, 2], [4, 1], [5, 2], [6, 5]], 7/107495424000], [[[1, 3], [2, 2], [4, 1], [5, 3], [6, 3]], 1/124416000], [[[1, 3], [2, 2], [4, 1], [5, 3], [7, 1]], 1/672000], [[[1, 3], [2, 2], [4, 1], [5, 3], [9, 1]], 1/1296000], [[[1, 3], [2, 2], [4, 1], [5, 3], [14, 1]], 1/1344000], [[[1, 3], [2, 2], [4, 1], [5, 3], [18, 1]], 1/1728000], [[[1, 3], [2, 2], [4, 1], [5, 4], [6, 1]], 7/829440000], [[[1, 3], [2, 2], [4, 1], [6, 1], [8, 4]], 547/47185920], [[[1, 3], [2, 2], [4, 1], [6, 1], [10, 4]], 59/165888000], [[[1, 3], [2, 2], [4, 1], [6, 1], [12, 4]], 10241/2866544640], [[[1, 3], [2, 2], [4, 1], [6, 1], [15, 2]], 7/2073600], [[[1, 3], [2, 2], [4, 1], [6, 1], [16, 2]], 7/442368], [[[1, 3], [2, 2], [4, 1], [6, 1], [20, 2]], 7/552960], [[[1, 3], [2, 2], [4, 1], [6, 1], [24, 2]], 7/442368], [[[1, 3], [2, 2], [4, 1], [6, 1], [30, 2]], 7/2073600], [[[1, 3], [2, 2], [4, 1], [6, 1], [40, 1]], 7/46080], [[[1, 3], [2, 2], [4, 1], [6, 1], [48, 1]], 7/55296], [[[1, 3], [2, 2], [4, 1], [6, 1], [60, 1]], 7/69120], [[[1, 3], [2, 2], [4, 1], [6, 3], [8, 3]], 41/191102976], [[[1, 3], [2, 2], [4, 1], [6, 3], [10, 3]], 1/124416000], [[[1, 3], [2, 2], [4, 1], [6, 3], [12, 3]], 1415/859963392], [[[1, 3], [2, 2], [4, 1], [6, 3], [18, 2]], 7/6718464], [[[1, 3], [2, 2], [4, 1], [6, 3], [28, 1]], 1/290304], [[[1, 3], [2, 2], [4, 1], [6, 3], [36, 1]], 1/373248], [[[1, 3], [2, 2], [4, 1], [6, 5], [8, 2]], 41/6879707136], [[[1, 3], [2, 2], [4, 1], [6, 5], [10, 2]], 151/107495424000], [[[1, 3], [2, 2], [4, 1], [6, 5], [12, 2]], 3481/51597803520], [[[1, 3], [2, 2], [4, 1], [6, 5], [15, 1]], 7/5374771200], [[[1, 3], [2, 2], [4, 1], [6, 5], [20, 1]], 7/3583180800], [[[1, 3], [2, 2], [4, 1], [6, 5], [24, 1]], 7/4299816960], [[[1, 3], [2, 2], [4, 1], [6, 5], [30, 1]], 7/5374771200], [[[1, 3], [2, 2], [4, 1], [6, 6], [18, 1]], 7/9674588160], [[[1, 3], [2, 2], [4, 1], [6, 7], [8, 1]], 17/154793410560], [[[1, 3], [2, 2], [4, 1], [6, 7], [10, 1]], 1/32248627200], [[[1, 3], [2, 2], [4, 1], [6, 7], [12, 1]], 29/154793410560], [[[1, 3], [2, 2], [4, 1], [7, 1], [8, 3]], 9/229376], [[[1, 3], [2, 2], [4, 1], [7, 1], [10, 3]], 1/672000], [[[1, 3], [2, 2], [4, 1], [7, 1], [12, 3]], 1/82944], [[[1, 3], [2, 2], [4, 1], [7, 1], [14, 2]], 1/3136], [[[1, 3], [2, 2], [4, 1], [7, 1], [28, 1]], 1/1568], [[[1, 3], [2, 2], [4, 1], [7, 1], [36, 1]], 1/2016], [[[1, 3], [2, 2], [4, 1], [7, 2], [14, 1]], 1/1568], [[[1, 3], [2, 2], [4, 1], [8, 3], [9, 1]], 1/49152], [[[1, 3], [2, 2], [4, 1], [8, 3], [14, 1]], 1/49152], [[[1, 3], [2, 2], [4, 1], [8, 3], [18, 1]], 41/2654208], [[[1, 3], [2, 2], [4, 1], [9, 1], [10, 3]], 1/1296000], [[[1, 3], [2, 2], [4, 1], [9, 1], [12, 3]], 7/1119744], [[[1, 3], [2, 2], [4, 1], [9, 1], [18, 2]], 1/5184], [[[1, 3], [2, 2], [4, 1], [9, 1], [28, 1]], 1/3024], [[[1, 3], [2, 2], [4, 1], [9, 1], [36, 1]], 1/3888], [[[1, 3], [2, 2], [4, 1], [9, 2], [18, 1]], 1/3888], [[[1, 3], [2, 2], [4, 1], [10, 3], [14, 1]], 1/1344000], [[[1, 3], [2, 2], [4, 1], [10, 3], [18, 1]], 1/1728000], [[[1, 3], [2, 2], [4, 1], [12, 3], [14, 1]], 1/165888], [[[1, 3], [2, 2], [4, 1], [12, 3], [18, 1]], 7/1492992], [[[1, 3], [2, 2], [4, 1], [14, 1], [28, 1]], 1/3136], [[[1, 3], [2, 2], [4, 1], [14, 1], [36, 1]], 1/4032], [[[1, 3], [2, 2], [4, 1], [18, 1], [28, 1]], 1/4032], [[[1, 3], [2, 2], [4, 1], [18, 1], [36, 1]], 1/5184], [[[1, 3], [2, 2], [4, 2], [5, 1], [8, 3]], 9/655360], [[[1, 3], [2, 2], [4, 2], [5, 1], [10, 3]], 11/1920000], [[[1, 3], [2, 2], [4, 2], [5, 1], [12, 3]], 161/29859840], [[[1, 3], [2, 2], [4, 2], [5, 1], [28, 1]], 11/26880], [[[1, 3], [2, 2], [4, 2], [5, 1], [36, 1]], 23/103680], [[[1, 3], [2, 2], [4, 2], [5, 2], [6, 4]], 121/114661785600], [[[1, 3], [2, 2], [4, 2], [5, 2], [8, 2]], 5393/707788800], [[[1, 3], [2, 2], [4, 2], [5, 2], [10, 2]], 9881/2211840000], [[[1, 3], [2, 2], [4, 2], [5, 2], [12, 2]], 2909/1061683200], [[[1, 3], [2, 2], [4, 2], [5, 2], [15, 1]], 121/22118400], [[[1, 3], [2, 2], [4, 2], [5, 2], [16, 1]], 1/153600], [[[1, 3], [2, 2], [4, 2], [5, 2], [20, 1]], 989/73728000], [[[1, 3], [2, 2], [4, 2], [5, 2], [24, 1]], 121/17694720], [[[1, 3], [2, 2], [4, 2], [5, 2], [30, 1]], 121/22118400], [[[1, 3], [2, 2], [4, 2], [5, 3], [8, 1]], 11/6144000], [[[1, 3], [2, 2], [4, 2], [5, 3], [10, 1]], 11/1920000], [[[1, 3], [2, 2], [4, 2], [5, 3], [12, 1]], 23/20736000], [[[1, 3], [2, 2], [4, 2], [6, 2], [12, 3]], 28805/4586471424], [[[1, 3], [2, 2], [4, 2], [6, 2], [18, 2]], 29/35831808], [[[1, 3], [2, 2], [4, 2], [6, 2], [28, 1]], 1/32256], [[[1, 3], [2, 2], [4, 2], [6, 2], [36, 1]], 1/124416], [[[1, 3], [2, 2], [4, 2], [6, 4], [8, 2]], 4817/183458856960], [[[1, 3], [2, 2], [4, 2], [6, 4], [10, 2]], 121/114661785600], [[[1, 3], [2, 2], [4, 2], [6, 4], [12, 2]], 48563/275188285440], [[[1, 3], [2, 2], [4, 2], [6, 4], [15, 1]], 29/28665446400], [[[1, 3], [2, 2], [4, 2], [6, 4], [16, 1]], 1/39813120], [[[1, 3], [2, 2], [4, 2], [6, 4], [20, 1]], 413/19110297600], [[[1, 3], [2, 2], [4, 2], [6, 4], [24, 1]], 29/22932357120], [[[1, 3], [2, 2], [4, 2], [6, 4], [30, 1]], 29/28665446400], [[[1, 3], [2, 2], [4, 2], [6, 5], [7, 1]], 1/5016453120], [[[1, 3], [2, 2], [4, 2], [6, 5], [9, 1]], 1/19349176320], [[[1, 3], [2, 2], [4, 2], [6, 5], [18, 1]], 29/51597803520], [[[1, 3], [2, 2], [4, 2], [6, 6], [12, 1]], 385/495338913792], [[[1, 3], [2, 2], [4, 2], [7, 2], [12, 1]], 1/75264], [[[1, 3], [2, 2], [4, 2], [8, 1], [10, 3]], 11/6144000], [[[1, 3], [2, 2], [4, 2], [8, 1], [12, 3]], 587/23887872], [[[1, 3], [2, 2], [4, 2], [8, 1], [28, 1]], 5/5376], [[[1, 3], [2, 2], [4, 2], [8, 1], [36, 1]], 53/82944], [[[1, 3], [2, 2], [4, 2], [8, 2], [10, 2]], 5393/707788800], [[[1, 3], [2, 2], [4, 2], [8, 2], [12, 2]], 7121/339738624], [[[1, 3], [2, 2], [4, 2], [8, 2], [15, 1]], 4817/35389440], [[[1, 3], [2, 2], [4, 2], [8, 2], [16, 1]], 341/196608], [[[1, 3], [2, 2], [4, 2], [8, 2], [20, 1]], 17873/23592960], [[[1, 3], [2, 2], [4, 2], [8, 2], [24, 1]], 10363/9437184], [[[1, 3], [2, 2], [4, 2], [8, 2], [30, 1]], 4817/35389440], [[[1, 3], [2, 2], [4, 2], [8, 3], [10, 1]], 9/655360], [[[1, 3], [2, 2], [4, 2], [8, 3], [12, 1]], 239/5308416], [[[1, 3], [2, 2], [4, 2], [9, 2], [12, 1]], 5/1119744], [[[1, 3], [2, 2], [4, 2], [10, 1], [12, 3]], 49/9953280], [[[1, 3], [2, 2], [4, 2], [10, 1], [28, 1]], 3/8960], [[[1, 3], [2, 2], [4, 2], [10, 1], [36, 1]], 7/34560], [[[1, 3], [2, 2], [4, 2], [10, 2], [12, 2]], 2909/1061683200], [[[1, 3], [2, 2], [4, 2], [10, 2], [15, 1]], 121/22118400], [[[1, 3], [2, 2], [4, 2], [10, 2], [16, 1]], 1/153600], [[[1, 3], [2, 2], [4, 2], [10, 2], [20, 1]], 989/73728000], [[[1, 3], [2, 2], [4, 2], [10, 2], [24, 1]], 121/17694720], [[[1, 3], [2, 2], [4, 2], [10, 2], [30, 1]], 121/22118400], [[[1, 3], [2, 2], [4, 2], [10, 3], [12, 1]], 7/6912000], [[[1, 3], [2, 2], [4, 2], [12, 1], [14, 2]], 1/225792], [[[1, 3], [2, 2], [4, 2], [12, 1], [18, 2]], 1/373248], [[[1, 3], [2, 2], [4, 2], [12, 1], [28, 1]], 1/2688], [[[1, 3], [2, 2], [4, 2], [12, 1], [36, 1]], 221/663552], [[[1, 3], [2, 2], [4, 2], [12, 2], [15, 1]], 2333/53084160], [[[1, 3], [2, 2], [4, 2], [12, 2], [16, 1]], 17/73728], [[[1, 3], [2, 2], [4, 2], [12, 2], [20, 1]], 8861/35389440], [[[1, 3], [2, 2], [4, 2], [12, 2], [24, 1]], 11897/42467328], [[[1, 3], [2, 2], [4, 2], [12, 2], [30, 1]], 2333/53084160], [[[1, 3], [2, 2], [4, 2], [15, 1], [16, 1]], 1/7680], [[[1, 3], [2, 2], [4, 2], [15, 1], [20, 1]], 413/3686400], [[[1, 3], [2, 2], [4, 2], [15, 1], [24, 1]], 29/4423680], [[[1, 3], [2, 2], [4, 2], [15, 1], [30, 1]], 29/345600], [[[1, 3], [2, 2], [4, 2], [16, 1], [20, 1]], 1/5120], [[[1, 3], [2, 2], [4, 2], [16, 1], [24, 1]], 1/6144], [[[1, 3], [2, 2], [4, 2], [16, 1], [30, 1]], 1/7680], [[[1, 3], [2, 2], [4, 2], [20, 1], [24, 1]], 413/2949120], [[[1, 3], [2, 2], [4, 2], [20, 1], [30, 1]], 413/3686400], [[[1, 3], [2, 2], [4, 2], [24, 1], [30, 1]], 29/4423680], [[[1, 3], [2, 2], [4, 3], [5, 2], [6, 3]], 1/2388787200], [[[1, 3], [2, 2], [4, 3], [5, 2], [7, 1]], 1/12902400], [[[1, 3], [2, 2], [4, 3], [5, 2], [9, 1]], 1/24883200], [[[1, 3], [2, 2], [4, 3], [5, 2], [14, 1]], 1/25804800], [[[1, 3], [2, 2], [4, 3], [5, 2], [18, 1]], 1/33177600], [[[1, 3], [2, 2], [4, 3], [6, 1], [8, 3]], 11/3145728], [[[1, 3], [2, 2], [4, 3], [6, 1], [10, 3]], 1/55296000], [[[1, 3], [2, 2], [4, 3], [6, 1], [12, 3]], 10787/573308928], [[[1, 3], [2, 2], [4, 3], [6, 1], [18, 2]], 1/2985984], [[[1, 3], [2, 2], [4, 3], [6, 1], [28, 1]], 1/9216], [[[1, 3], [2, 2], [4, 3], [6, 1], [36, 1]], 7/248832], [[[1, 3], [2, 2], [4, 3], [6, 3], [8, 2]], 49/764411904], [[[1, 3], [2, 2], [4, 3], [6, 3], [10, 2]], 1/2388787200], [[[1, 3], [2, 2], [4, 3], [6, 3], [12, 2]], 775/1146617856], [[[1, 3], [2, 2], [4, 3], [6, 3], [15, 1]], 1/119439360], [[[1, 3], [2, 2], [4, 3], [6, 3], [16, 1]], 1/3981312], [[[1, 3], [2, 2], [4, 3], [6, 3], [20, 1]], 13/15925248], [[[1, 3], [2, 2], [4, 3], [6, 3], [24, 1]], 1/95551488], [[[1, 3], [2, 2], [4, 3], [6, 3], [30, 1]], 1/119439360], [[[1, 3], [2, 2], [4, 3], [6, 4], [7, 1]], 1/3344302080], [[[1, 3], [2, 2], [4, 3], [6, 4], [9, 1]], 1/6449725440], [[[1, 3], [2, 2], [4, 3], [6, 4], [14, 1]], 1/6688604160], [[[1, 3], [2, 2], [4, 3], [6, 4], [18, 1]], 41/8599633920], [[[1, 3], [2, 2], [4, 3], [6, 5], [8, 1]], 1/7644119040], [[[1, 3], [2, 2], [4, 3], [6, 5], [10, 1]], 1/14332723200], [[[1, 3], [2, 2], [4, 3], [6, 5], [12, 1]], 31/20639121408], [[[1, 3], [2, 2], [4, 3], [7, 1], [8, 2]], 7/589824], [[[1, 3], [2, 2], [4, 3], [7, 1], [10, 2]], 1/12902400], [[[1, 3], [2, 2], [4, 3], [7, 1], [12, 2]], 55/884736], [[[1, 3], [2, 2], [4, 3], [7, 1], [15, 1]], 1/645120], [[[1, 3], [2, 2], [4, 3], [7, 1], [16, 1]], 1/21504], [[[1, 3], [2, 2], [4, 3], [7, 1], [20, 1]], 13/86016], [[[1, 3], [2, 2], [4, 3], [7, 1], [24, 1]], 1/516096], [[[1, 3], [2, 2], [4, 3], [7, 1], [30, 1]], 1/645120], [[[1, 3], [2, 2], [4, 3], [8, 2], [9, 1]], 49/7962624], [[[1, 3], [2, 2], [4, 3], [8, 2], [14, 1]], 7/1179648], [[[1, 3], [2, 2], [4, 3], [8, 2], [18, 1]], 49/10616832], [[[1, 3], [2, 2], [4, 3], [9, 1], [10, 2]], 1/24883200], [[[1, 3], [2, 2], [4, 3], [9, 1], [12, 2]], 385/11943936], [[[1, 3], [2, 2], [4, 3], [9, 1], [15, 1]], 1/1244160], [[[1, 3], [2, 2], [4, 3], [9, 1], [16, 1]], 1/41472], [[[1, 3], [2, 2], [4, 3], [9, 1], [20, 1]], 13/165888], [[[1, 3], [2, 2], [4, 3], [9, 1], [24, 1]], 1/995328], [[[1, 3], [2, 2], [4, 3], [9, 1], [30, 1]], 1/1244160], [[[1, 3], [2, 2], [4, 3], [10, 2], [14, 1]], 1/25804800], [[[1, 3], [2, 2], [4, 3], [10, 2], [18, 1]], 1/33177600], [[[1, 3], [2, 2], [4, 3], [12, 2], [14, 1]], 55/1769472], [[[1, 3], [2, 2], [4, 3], [12, 2], [18, 1]], 385/15925248], [[[1, 3], [2, 2], [4, 3], [14, 1], [15, 1]], 1/1290240], [[[1, 3], [2, 2], [4, 3], [14, 1], [16, 1]], 1/43008], [[[1, 3], [2, 2], [4, 3], [14, 1], [20, 1]], 13/172032], [[[1, 3], [2, 2], [4, 3], [14, 1], [24, 1]], 1/1032192], [[[1, 3], [2, 2], [4, 3], [14, 1], [30, 1]], 1/1290240], [[[1, 3], [2, 2], [4, 3], [15, 1], [18, 1]], 1/1658880], [[[1, 3], [2, 2], [4, 3], [16, 1], [18, 1]], 1/55296], [[[1, 3], [2, 2], [4, 3], [18, 1], [20, 1]], 13/221184], [[[1, 3], [2, 2], [4, 3], [18, 1], [24, 1]], 1/1327104], [[[1, 3], [2, 2], [4, 3], [18, 1], [30, 1]], 1/1658880], [[[1, 3], [2, 2], [4, 4], [5, 1], [6, 4]], 73/687970713600], [[[1, 3], [2, 2], [4, 4], [5, 1], [8, 2]], 3769/849346560], [[[1, 3], [2, 2], [4, 4], [5, 1], [10, 2]], 73/2654208000], [[[1, 3], [2, 2], [4, 4], [5, 1], [12, 2]], 31561/1274019840], [[[1, 3], [2, 2], [4, 4], [5, 1], [15, 1]], 73/132710400], [[[1, 3], [2, 2], [4, 4], [5, 1], [16, 1]], 1/61440], [[[1, 3], [2, 2], [4, 4], [5, 1], [20, 1]], 1013/17694720], [[[1, 3], [2, 2], [4, 4], [5, 1], [24, 1]], 73/106168320], [[[1, 3], [2, 2], [4, 4], [5, 1], [30, 1]], 73/132710400], [[[1, 3], [2, 2], [4, 4], [5, 2], [6, 2]], 1/15925248000], [[[1, 3], [2, 2], [4, 4], [5, 2], [8, 1]], 13507/21233664000], [[[1, 3], [2, 2], [4, 4], [5, 2], [10, 1]], 121/4423680000], [[[1, 3], [2, 2], [4, 4], [5, 2], [12, 1]], 713/265420800], [[[1, 3], [2, 2], [4, 4], [6, 2], [8, 2]], 253/5096079360], [[[1, 3], [2, 2], [4, 4], [6, 2], [10, 2]], 1/637009920], [[[1, 3], [2, 2], [4, 4], [6, 2], [12, 2]], 12079/7644119040], [[[1, 3], [2, 2], [4, 4], [6, 2], [15, 1]], 1/796262400], [[[1, 3], [2, 2], [4, 4], [6, 2], [20, 1]], 77/106168320], [[[1, 3], [2, 2], [4, 4], [6, 2], [24, 1]], 1/637009920], [[[1, 3], [2, 2], [4, 4], [6, 2], [30, 1]], 1/796262400], [[[1, 3], [2, 2], [4, 4], [6, 3], [7, 1]], 1/2866544640], [[[1, 3], [2, 2], [4, 4], [6, 3], [9, 1]], 13/77396705280], [[[1, 3], [2, 2], [4, 4], [6, 3], [14, 1]], 1/6688604160], [[[1, 3], [2, 2], [4, 4], [6, 3], [18, 1]], 7/8599633920], [[[1, 3], [2, 2], [4, 4], [6, 4], [8, 1]], 13987/5503765708800], [[[1, 3], [2, 2], [4, 4], [6, 4], [10, 1]], 67/382205952000], [[[1, 3], [2, 2], [4, 4], [6, 4], [12, 1]], 19/8599633920], [[[1, 3], [2, 2], [4, 4], [7, 1], [9, 1]], 1/39813120], [[[1, 3], [2, 2], [4, 4], [7, 1], [14, 1]], 857/72253440], [[[1, 3], [2, 2], [4, 4], [7, 1], [18, 1]], 1/39813120], [[[1, 3], [2, 2], [4, 4], [8, 1], [10, 2]], 13507/21233664000], [[[1, 3], [2, 2], [4, 4], [8, 1], [12, 2]], 1722307/10192158720], [[[1, 3], [2, 2], [4, 4], [8, 1], [15, 1]], 13507/1061683200], [[[1, 3], [2, 2], [4, 4], [8, 1], [16, 1]], 589/5898240], [[[1, 3], [2, 2], [4, 4], [8, 1], [20, 1]], 5947/28311552], [[[1, 3], [2, 2], [4, 4], [8, 1], [24, 1]], 25027/849346560], [[[1, 3], [2, 2], [4, 4], [8, 1], [30, 1]], 13507/1061683200], [[[1, 3], [2, 2], [4, 4], [8, 2], [10, 1]], 6121/1415577600], [[[1, 3], [2, 2], [4, 4], [8, 2], [12, 1]], 15353/84934656], [[[1, 3], [2, 2], [4, 4], [9, 1], [14, 1]], 1/55738368], [[[1, 3], [2, 2], [4, 4], [9, 1], [18, 1]], 9787/1074954240], [[[1, 3], [2, 2], [4, 4], [10, 1], [12, 2]], 50041/2123366400], [[[1, 3], [2, 2], [4, 4], [10, 1], [15, 1]], 121/221184000], [[[1, 3], [2, 2], [4, 4], [10, 1], [16, 1]], 1/61440], [[[1, 3], [2, 2], [4, 4], [10, 1], [20, 1]], 1637/29491200], [[[1, 3], [2, 2], [4, 4], [10, 1], [24, 1]], 121/176947200], [[[1, 3], [2, 2], [4, 4], [10, 1], [30, 1]], 121/221184000], [[[1, 3], [2, 2], [4, 4], [10, 2], [12, 1]], 713/265420800], [[[1, 3], [2, 2], [4, 4], [12, 1], [15, 1]], 137/13271040], [[[1, 3], [2, 2], [4, 4], [12, 1], [16, 1]], 13/147456], [[[1, 3], [2, 2], [4, 4], [12, 1], [20, 1]], 337/1769472], [[[1, 3], [2, 2], [4, 4], [12, 1], [24, 1]], 383/10616832], [[[1, 3], [2, 2], [4, 4], [12, 1], [30, 1]], 137/13271040], [[[1, 3], [2, 2], [4, 4], [14, 1], [18, 1]], 1/92897280], [[[1, 3], [2, 2], [4, 5], [5, 1], [6, 3]], 1/9555148800], [[[1, 3], [2, 2], [4, 5], [5, 1], [7, 1]], 1/51609600], [[[1, 3], [2, 2], [4, 5], [5, 1], [9, 1]], 1/99532800], [[[1, 3], [2, 2], [4, 5], [5, 1], [14, 1]], 1/103219200], [[[1, 3], [2, 2], [4, 5], [5, 1], [18, 1]], 1/132710400], [[[1, 3], [2, 2], [4, 5], [5, 2], [6, 1]], 7/31850496000], [[[1, 3], [2, 2], [4, 5], [6, 1], [8, 2]], 5341/10192158720], [[[1, 3], [2, 2], [4, 5], [6, 1], [10, 2]], 151/31850496000], [[[1, 3], [2, 2], [4, 5], [6, 1], [12, 2]], 39127/15288238080], [[[1, 3], [2, 2], [4, 5], [6, 1], [15, 1]], 7/1592524800], [[[1, 3], [2, 2], [4, 5], [6, 1], [20, 1]], 539/212336640], [[[1, 3], [2, 2], [4, 5], [6, 1], [24, 1]], 7/1274019840], [[[1, 3], [2, 2], [4, 5], [6, 1], [30, 1]], 7/1592524800], [[[1, 3], [2, 2], [4, 5], [6, 2], [18, 1]], 7/2866544640], [[[1, 3], [2, 2], [4, 5], [6, 3], [8, 1]], 61/9172942848], [[[1, 3], [2, 2], [4, 5], [6, 3], [10, 1]], 1/9555148800], [[[1, 3], [2, 2], [4, 5], [6, 3], [12, 1]], 701/45864714240], [[[1, 3], [2, 2], [4, 5], [7, 1], [8, 1]], 29/23592960], [[[1, 3], [2, 2], [4, 5], [7, 1], [10, 1]], 1/51609600], [[[1, 3], [2, 2], [4, 5], [7, 1], [12, 1]], 17/6193152], [[[1, 3], [2, 2], [4, 5], [8, 1], [9, 1]], 203/318504960], [[[1, 3], [2, 2], [4, 5], [8, 1], [14, 1]], 17/27525120], [[[1, 3], [2, 2], [4, 5], [8, 1], [18, 1]], 61/127401984], [[[1, 3], [2, 2], [4, 5], [9, 1], [10, 1]], 1/99532800], [[[1, 3], [2, 2], [4, 5], [9, 1], [12, 1]], 17/11943936], [[[1, 3], [2, 2], [4, 5], [10, 1], [14, 1]], 1/103219200], [[[1, 3], [2, 2], [4, 5], [10, 1], [18, 1]], 1/132710400], [[[1, 3], [2, 2], [4, 5], [12, 1], [14, 1]], 17/12386304], [[[1, 3], [2, 2], [4, 5], [12, 1], [18, 1]], 17/15925248], [[[1, 3], [2, 2], [4, 6], [5, 1], [8, 1]], 203/471859200], [[[1, 3], [2, 2], [4, 6], [5, 1], [10, 1]], 11/147456000], [[[1, 3], [2, 2], [4, 6], [5, 1], [12, 1]], 937/955514880], [[[1, 3], [2, 2], [4, 6], [6, 1], [7, 1]], 1/1486356480], [[[1, 3], [2, 2], [4, 6], [6, 1], [9, 1]], 1/5733089280], [[[1, 3], [2, 2], [4, 6], [6, 1], [18, 1]], 533/15288238080], [[[1, 3], [2, 2], [4, 6], [6, 2], [12, 1]], 7229/733835427840], [[[1, 3], [2, 2], [4, 6], [8, 1], [10, 1]], 203/471859200], [[[1, 3], [2, 2], [4, 6], [8, 1], [12, 1]], 39257/3822059520], [[[1, 3], [2, 2], [4, 6], [10, 1], [12, 1]], 1549/1592524800], [[[1, 3], [2, 2], [4, 7], [6, 1], [8, 1]], 191/142690222080], [[[1, 3], [2, 2], [4, 7], [6, 1], [10, 1]], 17/17836277760], [[[1, 3], [2, 2], [4, 7], [6, 1], [12, 1]], 8213/642105999360], [[[1, 3], [2, 2], [5, 1], [6, 2], [12, 3]], 1/7962624], [[[1, 3], [2, 2], [5, 1], [6, 2], [18, 2]], 1/559872], [[[1, 3], [2, 2], [5, 1], [6, 4], [8, 2]], 1/2866544640], [[[1, 3], [2, 2], [5, 1], [6, 4], [10, 2]], 1/8957952000], [[[1, 3], [2, 2], [5, 1], [6, 4], [12, 2]], 271/4299816960], [[[1, 3], [2, 2], [5, 1], [6, 4], [15, 1]], 1/447897600], [[[1, 3], [2, 2], [5, 1], [6, 4], [20, 1]], 1/298598400], [[[1, 3], [2, 2], [5, 1], [6, 4], [24, 1]], 1/358318080], [[[1, 3], [2, 2], [5, 1], [6, 4], [30, 1]], 1/447897600], [[[1, 3], [2, 2], [5, 1], [6, 5], [18, 1]], 1/806215680], [[[1, 3], [2, 2], [5, 1], [6, 6], [12, 1]], 1/4299816960], [[[1, 3], [2, 2], [5, 1], [8, 2], [10, 2]], 1/11059200], [[[1, 3], [2, 2], [5, 1], [8, 2], [12, 2]], 1/5308416], [[[1, 3], [2, 2], [5, 1], [8, 2], [15, 1]], 1/552960], [[[1, 3], [2, 2], [5, 1], [8, 2], [20, 1]], 1/368640], [[[1, 3], [2, 2], [5, 1], [8, 2], [24, 1]], 11/147456], [[[1, 3], [2, 2], [5, 1], [8, 2], [30, 1]], 1/552960], [[[1, 3], [2, 2], [5, 1], [10, 2], [12, 2]], 1/16588800], [[[1, 3], [2, 2], [5, 1], [10, 2], [15, 1]], 1/1728000], [[[1, 3], [2, 2], [5, 1], [10, 2], [20, 1]], 1/1152000], [[[1, 3], [2, 2], [5, 1], [10, 2], [24, 1]], 1/1382400], [[[1, 3], [2, 2], [5, 1], [10, 2], [30, 1]], 1/1728000], [[[1, 3], [2, 2], [5, 1], [12, 1], [36, 1]], 1/10368], [[[1, 3], [2, 2], [5, 1], [12, 2], [15, 1]], 1/829440], [[[1, 3], [2, 2], [5, 1], [12, 2], [20, 1]], 1/552960], [[[1, 3], [2, 2], [5, 1], [12, 2], [24, 1]], 13/663552], [[[1, 3], [2, 2], [5, 1], [12, 2], [30, 1]], 1/829440], [[[1, 3], [2, 2], [5, 1], [15, 1], [20, 1]], 1/57600], [[[1, 3], [2, 2], [5, 1], [15, 1], [24, 1]], 1/69120], [[[1, 3], [2, 2], [5, 1], [15, 1], [30, 1]], 1/5400], [[[1, 3], [2, 2], [5, 1], [20, 1], [24, 1]], 1/46080], [[[1, 3], [2, 2], [5, 1], [20, 1], [30, 1]], 1/57600], [[[1, 3], [2, 2], [5, 1], [24, 1], [30, 1]], 1/69120], [[[1, 3], [2, 2], [5, 2], [6, 2], [8, 2]], 13/66355200], [[[1, 3], [2, 2], [5, 2], [6, 2], [10, 2]], 13/8294400], [[[1, 3], [2, 2], [5, 2], [6, 2], [12, 2]], 19/99532800], [[[1, 3], [2, 2], [5, 2], [6, 2], [15, 1]], 1/10368000], [[[1, 3], [2, 2], [5, 2], [6, 2], [20, 1]], 1/6912000], [[[1, 3], [2, 2], [5, 2], [6, 2], [24, 1]], 1/8294400], [[[1, 3], [2, 2], [5, 2], [6, 2], [30, 1]], 1/10368000], [[[1, 3], [2, 2], [5, 2], [6, 3], [7, 1]], 1/37324800], [[[1, 3], [2, 2], [5, 2], [6, 3], [9, 1]], 13/1007769600], [[[1, 3], [2, 2], [5, 2], [6, 3], [14, 1]], 1/87091200], [[[1, 3], [2, 2], [5, 2], [6, 3], [18, 1]], 7/111974400], [[[1, 3], [2, 2], [5, 2], [6, 4], [8, 1]], 487/71663616000], [[[1, 3], [2, 2], [5, 2], [6, 4], [10, 1]], 1/184320000], [[[1, 3], [2, 2], [5, 2], [6, 4], [12, 1]], 1/59719680], [[[1, 3], [2, 2], [5, 2], [7, 1], [9, 1]], 1/518400], [[[1, 3], [2, 2], [5, 2], [7, 1], [14, 1]], 17/940800], [[[1, 3], [2, 2], [5, 2], [7, 1], [18, 1]], 1/518400], [[[1, 3], [2, 2], [5, 2], [8, 1], [10, 2]], 2107/276480000], [[[1, 3], [2, 2], [5, 2], [8, 1], [12, 2]], 7/132710400], [[[1, 3], [2, 2], [5, 2], [8, 1], [15, 1]], 7/13824000], [[[1, 3], [2, 2], [5, 2], [8, 1], [16, 1]], 1/307200], [[[1, 3], [2, 2], [5, 2], [8, 1], [20, 1]], 7/9216000], [[[1, 3], [2, 2], [5, 2], [8, 1], [24, 1]], 7/11059200], [[[1, 3], [2, 2], [5, 2], [8, 1], [30, 1]], 7/13824000], [[[1, 3], [2, 2], [5, 2], [8, 2], [10, 1]], 1/18432000], [[[1, 3], [2, 2], [5, 2], [9, 1], [14, 1]], 1/725760], [[[1, 3], [2, 2], [5, 2], [9, 1], [18, 1]], 67/13996800], [[[1, 3], [2, 2], [5, 2], [10, 1], [12, 2]], 1/27648000], [[[1, 3], [2, 2], [5, 2], [10, 1], [15, 1]], 1/2880000], [[[1, 3], [2, 2], [5, 2], [10, 1], [20, 1]], 1/1920000], [[[1, 3], [2, 2], [5, 2], [10, 1], [24, 1]], 1/2304000], [[[1, 3], [2, 2], [5, 2], [10, 1], [30, 1]], 1/2880000], [[[1, 3], [2, 2], [5, 2], [14, 1], [18, 1]], 1/1209600], [[[1, 3], [2, 2], [5, 3], [6, 1], [18, 1]], 1/3110400], [[[1, 3], [2, 2], [5, 3], [6, 2], [12, 1]], 1/16588800], [[[1, 3], [2, 2], [6, 1], [7, 1], [8, 3]], 1/258048], [[[1, 3], [2, 2], [6, 1], [7, 1], [10, 3]], 1/672000], [[[1, 3], [2, 2], [6, 1], [7, 1], [12, 3]], 1/331776], [[[1, 3], [2, 2], [6, 1], [7, 1], [18, 2]], 1/46656], [[[1, 3], [2, 2], [6, 1], [7, 2], [18, 1]], 1/56448], [[[1, 3], [2, 2], [6, 1], [8, 3], [9, 1]], 1/497664], [[[1, 3], [2, 2], [6, 1], [8, 3], [14, 1]], 1/516096], [[[1, 3], [2, 2], [6, 1], [8, 3], [18, 1]], 19/7962624], [[[1, 3], [2, 2], [6, 1], [9, 1], [10, 3]], 1/1555200], [[[1, 3], [2, 2], [6, 1], [9, 1], [12, 3]], 13/8957952], [[[1, 3], [2, 2], [6, 1], [9, 1], [18, 2]], 67/1259712], [[[1, 3], [2, 2], [6, 1], [9, 2], [18, 1]], 5/839808], [[[1, 3], [2, 2], [6, 1], [10, 3], [14, 1]], 1/2016000], [[[1, 3], [2, 2], [6, 1], [10, 3], [18, 1]], 1/1728000], [[[1, 3], [2, 2], [6, 1], [12, 3], [14, 1]], 1/774144], [[[1, 3], [2, 2], [6, 1], [12, 3], [18, 1]], 1/995328], [[[1, 3], [2, 2], [6, 1], [14, 1], [18, 2]], 1/108864], [[[1, 3], [2, 2], [6, 1], [14, 2], [18, 1]], 1/169344], [[[1, 3], [2, 2], [6, 2], [7, 2], [12, 1]], 1/301056], [[[1, 3], [2, 2], [6, 2], [8, 1], [10, 3]], 1/3456000], [[[1, 3], [2, 2], [6, 2], [8, 1], [12, 3]], 55/63700992], [[[1, 3], [2, 2], [6, 2], [8, 1], [18, 2]], 31/4478976], [[[1, 3], [2, 2], [6, 2], [8, 2], [10, 2]], 37/66355200], [[[1, 3], [2, 2], [6, 2], [8, 2], [12, 2]], 31/31850496], [[[1, 3], [2, 2], [6, 2], [8, 2], [15, 1]], 13/3317760], [[[1, 3], [2, 2], [6, 2], [8, 2], [20, 1]], 13/2211840], [[[1, 3], [2, 2], [6, 2], [8, 2], [24, 1]], 5/294912], [[[1, 3], [2, 2], [6, 2], [8, 2], [30, 1]], 13/3317760], [[[1, 3], [2, 2], [6, 2], [8, 3], [10, 1]], 1/1105920], [[[1, 3], [2, 2], [6, 2], [8, 3], [12, 1]], 55/42467328], [[[1, 3], [2, 2], [6, 2], [9, 2], [12, 1]], 5/4478976], [[[1, 3], [2, 2], [6, 2], [10, 1], [12, 3]], 1/1474560], [[[1, 3], [2, 2], [6, 2], [10, 1], [18, 2]], 1/186624], [[[1, 3], [2, 2], [6, 2], [10, 2], [12, 2]], 43/99532800], [[[1, 3], [2, 2], [6, 2], [10, 2], [15, 1]], 1/414720], [[[1, 3], [2, 2], [6, 2], [10, 2], [20, 1]], 1/276480], [[[1, 3], [2, 2], [6, 2], [10, 2], [24, 1]], 1/331776], [[[1, 3], [2, 2], [6, 2], [10, 2], [30, 1]], 1/414720], [[[1, 3], [2, 2], [6, 2], [10, 3], [12, 1]], 1/3072000], [[[1, 3], [2, 2], [6, 2], [12, 1], [14, 2]], 1/903168], [[[1, 3], [2, 2], [6, 2], [12, 1], [18, 2]], 1/165888], [[[1, 3], [2, 2], [6, 2], [12, 1], [36, 1]], 1/62208], [[[1, 3], [2, 2], [6, 2], [12, 2], [15, 1]], 19/4976640], [[[1, 3], [2, 2], [6, 2], [12, 2], [20, 1]], 19/3317760], [[[1, 3], [2, 2], [6, 2], [12, 2], [24, 1]], 31/3981312], [[[1, 3], [2, 2], [6, 2], [12, 2], [30, 1]], 19/4976640], [[[1, 3], [2, 2], [6, 2], [15, 1], [20, 1]], 1/345600], [[[1, 3], [2, 2], [6, 2], [15, 1], [24, 1]], 1/414720], [[[1, 3], [2, 2], [6, 2], [15, 1], [30, 1]], 1/32400], [[[1, 3], [2, 2], [6, 2], [20, 1], [24, 1]], 1/276480], [[[1, 3], [2, 2], [6, 2], [20, 1], [30, 1]], 1/345600], [[[1, 3], [2, 2], [6, 2], [24, 1], [30, 1]], 1/414720], [[[1, 3], [2, 2], [6, 3], [7, 1], [8, 2]], 1/11943936], [[[1, 3], [2, 2], [6, 3], [7, 1], [10, 2]], 1/37324800], [[[1, 3], [2, 2], [6, 3], [7, 1], [12, 2]], 55/17915904], [[[1, 3], [2, 2], [6, 3], [7, 1], [15, 1]], 1/1866240], [[[1, 3], [2, 2], [6, 3], [7, 1], [20, 1]], 1/1244160], [[[1, 3], [2, 2], [6, 3], [7, 1], [24, 1]], 1/1492992], [[[1, 3], [2, 2], [6, 3], [7, 1], [30, 1]], 1/1866240], [[[1, 3], [2, 2], [6, 3], [8, 2], [9, 1]], 13/322486272], [[[1, 3], [2, 2], [6, 3], [8, 2], [14, 1]], 1/27869184], [[[1, 3], [2, 2], [6, 3], [8, 2], [18, 1]], 79/35831808], [[[1, 3], [2, 2], [6, 3], [9, 1], [10, 2]], 13/1007769600], [[[1, 3], [2, 2], [6, 3], [9, 1], [12, 2]], 715/483729408], [[[1, 3], [2, 2], [6, 3], [9, 1], [15, 1]], 13/50388480], [[[1, 3], [2, 2], [6, 3], [9, 1], [20, 1]], 13/33592320], [[[1, 3], [2, 2], [6, 3], [9, 1], [24, 1]], 13/40310784], [[[1, 3], [2, 2], [6, 3], [9, 1], [30, 1]], 13/50388480], [[[1, 3], [2, 2], [6, 3], [10, 2], [14, 1]], 1/87091200], [[[1, 3], [2, 2], [6, 3], [10, 2], [18, 1]], 151/111974400], [[[1, 3], [2, 2], [6, 3], [12, 2], [14, 1]], 55/41803776], [[[1, 3], [2, 2], [6, 3], [12, 2], [18, 1]], 169/53747712], [[[1, 3], [2, 2], [6, 3], [14, 1], [15, 1]], 1/4354560], [[[1, 3], [2, 2], [6, 3], [14, 1], [20, 1]], 1/2903040], [[[1, 3], [2, 2], [6, 3], [14, 1], [24, 1]], 1/3483648], [[[1, 3], [2, 2], [6, 3], [14, 1], [30, 1]], 1/4354560], [[[1, 3], [2, 2], [6, 3], [15, 1], [18, 1]], 7/5598720], [[[1, 3], [2, 2], [6, 3], [18, 1], [20, 1]], 7/3732480], [[[1, 3], [2, 2], [6, 3], [18, 1], [24, 1]], 7/4478976], [[[1, 3], [2, 2], [6, 3], [18, 1], [30, 1]], 7/5598720], [[[1, 3], [2, 2], [6, 4], [7, 1], [9, 1]], 1/134369280], [[[1, 3], [2, 2], [6, 4], [7, 1], [14, 1]], 17/243855360], [[[1, 3], [2, 2], [6, 4], [7, 1], [18, 1]], 41/134369280], [[[1, 3], [2, 2], [6, 4], [8, 1], [10, 2]], 487/71663616000], [[[1, 3], [2, 2], [6, 4], [8, 1], [12, 2]], 28297/34398535680], [[[1, 3], [2, 2], [6, 4], [8, 1], [15, 1]], 487/3583180800], [[[1, 3], [2, 2], [6, 4], [8, 1], [16, 1]], 1/79626240], [[[1, 3], [2, 2], [6, 4], [8, 1], [20, 1]], 487/2388787200], [[[1, 3], [2, 2], [6, 4], [8, 1], [24, 1]], 487/2866544640], [[[1, 3], [2, 2], [6, 4], [8, 1], [30, 1]], 487/3583180800], [[[1, 3], [2, 2], [6, 4], [8, 2], [10, 1]], 1/58982400], [[[1, 3], [2, 2], [6, 4], [8, 2], [12, 1]], 41/95551488], [[[1, 3], [2, 2], [6, 4], [9, 1], [14, 1]], 1/188116992], [[[1, 3], [2, 2], [6, 4], [9, 1], [18, 1]], 587/3627970560], [[[1, 3], [2, 2], [6, 4], [10, 1], [12, 2]], 173/265420800], [[[1, 3], [2, 2], [6, 4], [10, 1], [15, 1]], 1/9216000], [[[1, 3], [2, 2], [6, 4], [10, 1], [20, 1]], 1/6144000], [[[1, 3], [2, 2], [6, 4], [10, 1], [24, 1]], 1/7372800], [[[1, 3], [2, 2], [6, 4], [10, 1], [30, 1]], 1/9216000], [[[1, 3], [2, 2], [6, 4], [10, 2], [12, 1]], 77/298598400], [[[1, 3], [2, 2], [6, 4], [12, 1], [15, 1]], 1/2985984], [[[1, 3], [2, 2], [6, 4], [12, 1], [20, 1]], 1/1990656], [[[1, 3], [2, 2], [6, 4], [12, 1], [24, 1]], 5/11943936], [[[1, 3], [2, 2], [6, 4], [12, 1], [30, 1]], 1/2985984], [[[1, 3], [2, 2], [6, 4], [14, 1], [18, 1]], 41/313528320], [[[1, 3], [2, 2], [6, 5], [7, 1], [8, 1]], 1/209018880], [[[1, 3], [2, 2], [6, 5], [7, 1], [10, 1]], 1/174182400], [[[1, 3], [2, 2], [6, 5], [7, 1], [12, 1]], 11/179159040], [[[1, 3], [2, 2], [6, 5], [8, 1], [9, 1]], 1/403107840], [[[1, 3], [2, 2], [6, 5], [8, 1], [14, 1]], 1/418037760], [[[1, 3], [2, 2], [6, 5], [8, 1], [18, 1]], 499/6449725440], [[[1, 3], [2, 2], [6, 5], [9, 1], [10, 1]], 1/403107840], [[[1, 3], [2, 2], [6, 5], [9, 1], [12, 1]], 143/4837294080], [[[1, 3], [2, 2], [6, 5], [10, 1], [14, 1]], 1/522547200], [[[1, 3], [2, 2], [6, 5], [10, 1], [18, 1]], 83/1343692800], [[[1, 3], [2, 2], [6, 5], [12, 1], [14, 1]], 11/418037760], [[[1, 3], [2, 2], [6, 5], [12, 1], [18, 1]], 37/179159040], [[[1, 3], [2, 2], [6, 6], [8, 1], [10, 1]], 1/895795200], [[[1, 3], [2, 2], [6, 6], [8, 1], [12, 1]], 107/6879707136], [[[1, 3], [2, 2], [6, 6], [10, 1], [12, 1]], 89/7166361600], [[[1, 3], [2, 2], [7, 1], [8, 2], [9, 1]], 1/165888], [[[1, 3], [2, 2], [7, 1], [8, 2], [14, 1]], 17/301056], [[[1, 3], [2, 2], [7, 1], [8, 2], [18, 1]], 1/165888], [[[1, 3], [2, 2], [7, 1], [9, 1], [10, 2]], 1/518400], [[[1, 3], [2, 2], [7, 1], [9, 1], [12, 2]], 1/248832], [[[1, 3], [2, 2], [7, 1], [9, 1], [15, 1]], 1/25920], [[[1, 3], [2, 2], [7, 1], [9, 1], [20, 1]], 1/17280], [[[1, 3], [2, 2], [7, 1], [9, 1], [24, 1]], 1/20736], [[[1, 3], [2, 2], [7, 1], [9, 1], [30, 1]], 1/25920], [[[1, 3], [2, 2], [7, 1], [10, 2], [14, 1]], 17/940800], [[[1, 3], [2, 2], [7, 1], [10, 2], [18, 1]], 1/518400], [[[1, 3], [2, 2], [7, 1], [12, 2], [14, 1]], 17/451584], [[[1, 3], [2, 2], [7, 1], [12, 2], [18, 1]], 1/248832], [[[1, 3], [2, 2], [7, 1], [14, 1], [15, 1]], 17/47040], [[[1, 3], [2, 2], [7, 1], [14, 1], [20, 1]], 17/31360], [[[1, 3], [2, 2], [7, 1], [14, 1], [24, 1]], 17/37632], [[[1, 3], [2, 2], [7, 1], [14, 1], [30, 1]], 17/47040], [[[1, 3], [2, 2], [7, 1], [15, 1], [18, 1]], 1/25920], [[[1, 3], [2, 2], [7, 1], [18, 1], [20, 1]], 1/17280], [[[1, 3], [2, 2], [7, 1], [18, 1], [24, 1]], 1/20736], [[[1, 3], [2, 2], [7, 1], [18, 1], [30, 1]], 1/25920], [[[1, 3], [2, 2], [8, 1], [10, 2], [12, 2]], 7/132710400], [[[1, 3], [2, 2], [8, 1], [10, 2], [15, 1]], 7/13824000], [[[1, 3], [2, 2], [8, 1], [10, 2], [16, 1]], 1/307200], [[[1, 3], [2, 2], [8, 1], [10, 2], [20, 1]], 7/9216000], [[[1, 3], [2, 2], [8, 1], [10, 2], [24, 1]], 7/11059200], [[[1, 3], [2, 2], [8, 1], [10, 2], [30, 1]], 7/13824000], [[[1, 3], [2, 2], [8, 1], [12, 1], [36, 1]], 7/82944], [[[1, 3], [2, 2], [8, 1], [12, 2], [15, 1]], 7/6635520], [[[1, 3], [2, 2], [8, 1], [12, 2], [16, 1]], 1/147456], [[[1, 3], [2, 2], [8, 1], [12, 2], [20, 1]], 7/4423680], [[[1, 3], [2, 2], [8, 1], [12, 2], [24, 1]], 91/5308416], [[[1, 3], [2, 2], [8, 1], [12, 2], [30, 1]], 7/6635520], [[[1, 3], [2, 2], [8, 1], [15, 1], [16, 1]], 1/15360], [[[1, 3], [2, 2], [8, 1], [15, 1], [20, 1]], 7/460800], [[[1, 3], [2, 2], [8, 1], [15, 1], [24, 1]], 7/552960], [[[1, 3], [2, 2], [8, 1], [15, 1], [30, 1]], 7/43200], [[[1, 3], [2, 2], [8, 1], [16, 1], [20, 1]], 1/10240], [[[1, 3], [2, 2], [8, 1], [16, 1], [24, 1]], 1/12288], [[[1, 3], [2, 2], [8, 1], [16, 1], [30, 1]], 1/15360], [[[1, 3], [2, 2], [8, 1], [20, 1], [24, 1]], 7/368640], [[[1, 3], [2, 2], [8, 1], [20, 1], [30, 1]], 7/460800], [[[1, 3], [2, 2], [8, 1], [24, 1], [30, 1]], 7/552960], [[[1, 3], [2, 2], [8, 2], [9, 1], [14, 1]], 5/1161216], [[[1, 3], [2, 2], [8, 2], [9, 1], [18, 1]], 67/4478976], [[[1, 3], [2, 2], [8, 2], [10, 1], [12, 2]], 1/8847360], [[[1, 3], [2, 2], [8, 2], [10, 1], [15, 1]], 1/921600], [[[1, 3], [2, 2], [8, 2], [10, 1], [20, 1]], 1/614400], [[[1, 3], [2, 2], [8, 2], [10, 1], [24, 1]], 11/245760], [[[1, 3], [2, 2], [8, 2], [10, 1], [30, 1]], 1/921600], [[[1, 3], [2, 2], [8, 2], [14, 1], [18, 1]], 1/387072], [[[1, 3], [2, 2], [9, 1], [10, 2], [14, 1]], 1/725760], [[[1, 3], [2, 2], [9, 1], [10, 2], [18, 1]], 67/13996800], [[[1, 3], [2, 2], [9, 1], [12, 2], [14, 1]], 5/1741824], [[[1, 3], [2, 2], [9, 1], [12, 2], [18, 1]], 67/6718464], [[[1, 3], [2, 2], [9, 1], [14, 1], [15, 1]], 1/36288], [[[1, 3], [2, 2], [9, 1], [14, 1], [20, 1]], 1/24192], [[[1, 3], [2, 2], [9, 1], [14, 1], [24, 1]], 5/145152], [[[1, 3], [2, 2], [9, 1], [14, 1], [30, 1]], 1/36288], [[[1, 3], [2, 2], [9, 1], [15, 1], [18, 1]], 67/699840], [[[1, 3], [2, 2], [9, 1], [18, 1], [20, 1]], 67/466560], [[[1, 3], [2, 2], [9, 1], [18, 1], [24, 1]], 67/559872], [[[1, 3], [2, 2], [9, 1], [18, 1], [30, 1]], 67/699840], [[[1, 3], [2, 2], [10, 1], [12, 1], [36, 1]], 1/17280], [[[1, 3], [2, 2], [10, 1], [12, 2], [15, 1]], 1/1382400], [[[1, 3], [2, 2], [10, 1], [12, 2], [20, 1]], 1/921600], [[[1, 3], [2, 2], [10, 1], [12, 2], [24, 1]], 13/1105920], [[[1, 3], [2, 2], [10, 1], [12, 2], [30, 1]], 1/1382400], [[[1, 3], [2, 2], [10, 1], [15, 1], [20, 1]], 1/96000], [[[1, 3], [2, 2], [10, 1], [15, 1], [24, 1]], 1/115200], [[[1, 3], [2, 2], [10, 1], [15, 1], [30, 1]], 1/9000], [[[1, 3], [2, 2], [10, 1], [20, 1], [24, 1]], 1/76800], [[[1, 3], [2, 2], [10, 1], [20, 1], [30, 1]], 1/96000], [[[1, 3], [2, 2], [10, 1], [24, 1], [30, 1]], 1/115200], [[[1, 3], [2, 2], [10, 2], [14, 1], [18, 1]], 1/1209600], [[[1, 3], [2, 2], [12, 2], [14, 1], [18, 1]], 1/580608], [[[1, 3], [2, 2], [14, 1], [15, 1], [18, 1]], 1/60480], [[[1, 3], [2, 2], [14, 1], [18, 1], [20, 1]], 1/40320], [[[1, 3], [2, 2], [14, 1], [18, 1], [24, 1]], 1/48384], [[[1, 3], [2, 2], [14, 1], [18, 1], [30, 1]], 1/60480], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 7]], 31/23219011584], [[[1, 3], [2, 4], [3, 1], [4, 2], [5, 3]], 3979/1327104000], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 6]], 122351/44580502241280], [[[1, 3], [2, 4], [3, 1], [4, 2], [8, 3]], 15605/169869312], [[[1, 3], [2, 4], [3, 1], [4, 2], [9, 2]], 535/214990848], [[[1, 3], [2, 4], [3, 1], [4, 2], [10, 3]], 221/829440000], [[[1, 3], [2, 4], [3, 1], [4, 2], [12, 3]], 407743/13759414272], [[[1, 3], [2, 4], [3, 1], [4, 2], [14, 2]], 1/602112], [[[1, 3], [2, 4], [3, 1], [4, 2], [18, 2]], 7/26873856], [[[1, 3], [2, 4], [3, 1], [4, 2], [28, 1]], 97/774144], [[[1, 3], [2, 4], [3, 1], [4, 2], [36, 1]], 265/2985984], [[[1, 3], [2, 4], [3, 1], [4, 3], [6, 5]], 1937/206391214080], [[[1, 3], [2, 4], [3, 1], [4, 4], [5, 2]], 109987/382205952000], [[[1, 3], [2, 4], [3, 1], [4, 4], [6, 4]], 2516803/99067782758400], [[[1, 3], [2, 4], [3, 1], [4, 4], [8, 2]], 1291027/122305904640], [[[1, 3], [2, 4], [3, 1], [4, 4], [10, 2]], 5443/382205952000], [[[1, 3], [2, 4], [3, 1], [4, 4], [12, 2]], 3180643/183458856960], [[[1, 3], [2, 4], [3, 1], [4, 4], [15, 1]], 5443/19110297600], [[[1, 3], [2, 4], [3, 1], [4, 4], [16, 1]], 7/884736], [[[1, 3], [2, 4], [3, 1], [4, 4], [20, 1]], 66599/2548039680], [[[1, 3], [2, 4], [3, 1], [4, 4], [24, 1]], 5443/15288238080], [[[1, 3], [2, 4], [3, 1], [4, 4], [30, 1]], 5443/19110297600], [[[1, 3], [2, 4], [3, 1], [4, 5], [6, 3]], 1/143327232], [[[1, 3], [2, 4], [3, 1], [4, 5], [7, 1]], 1/185794560], [[[1, 3], [2, 4], [3, 1], [4, 5], [9, 1]], 8483/22932357120], [[[1, 3], [2, 4], [3, 1], [4, 5], [14, 1]], 19/371589120], [[[1, 3], [2, 4], [3, 1], [4, 5], [18, 1]], 1/63700992], [[[1, 3], [2, 4], [3, 1], [4, 6], [5, 1]], 3547/101921587200], [[[1, 3], [2, 4], [3, 1], [4, 6], [6, 2]], 393653/4403012567040], [[[1, 3], [2, 4], [3, 1], [4, 6], [8, 1]], 2101/8153726976], [[[1, 3], [2, 4], [3, 1], [4, 6], [10, 1]], 221/63700992000], [[[1, 3], [2, 4], [3, 1], [4, 6], [12, 1]], 227459/440301256704], [[[1, 3], [2, 4], [3, 1], [4, 7], [6, 1]], 37243/428070666240], [[[1, 3], [2, 4], [3, 1], [5, 1], [6, 6]], 49/23219011584], [[[1, 3], [2, 4], [3, 1], [5, 1], [7, 2]], 1/188160], [[[1, 3], [2, 4], [3, 1], [5, 1], [8, 3]], 7/4423680], [[[1, 3], [2, 4], [3, 1], [5, 1], [9, 2]], 1/155520], [[[1, 3], [2, 4], [3, 1], [5, 1], [10, 3]], 1/2400000], [[[1, 3], [2, 4], [3, 1], [5, 1], [12, 3]], 1/2211840], [[[1, 3], [2, 4], [3, 1], [5, 1], [14, 2]], 1/31360], [[[1, 3], [2, 4], [3, 1], [5, 1], [18, 2]], 11/1399680], [[[1, 3], [2, 4], [3, 1], [5, 2], [6, 4]], 45037/1289945088000], [[[1, 3], [2, 4], [3, 1], [5, 2], [8, 2]], 1381/1592524800], [[[1, 3], [2, 4], [3, 1], [5, 2], [10, 2]], 4777/4976640000], [[[1, 3], [2, 4], [3, 1], [5, 2], [12, 2]], 877/2388787200], [[[1, 3], [2, 4], [3, 1], [5, 2], [15, 1]], 877/248832000], [[[1, 3], [2, 4], [3, 1], [5, 2], [20, 1]], 877/165888000], [[[1, 3], [2, 4], [3, 1], [5, 2], [24, 1]], 877/199065600], [[[1, 3], [2, 4], [3, 1], [5, 2], [30, 1]], 877/248832000], [[[1, 3], [2, 4], [3, 1], [5, 3], [6, 2]], 23/149299200], [[[1, 3], [2, 4], [3, 1], [5, 3], [8, 1]], 7/13824000], [[[1, 3], [2, 4], [3, 1], [5, 3], [10, 1]], 1/2400000], [[[1, 3], [2, 4], [3, 1], [5, 3], [12, 1]], 1/4608000], [[[1, 3], [2, 4], [3, 1], [6, 2], [7, 2]], 1/903168], [[[1, 3], [2, 4], [3, 1], [6, 2], [8, 3]], 871/63700992], [[[1, 3], [2, 4], [3, 1], [6, 2], [9, 2]], 289/120932352], [[[1, 3], [2, 4], [3, 1], [6, 2], [10, 3]], 643/622080000], [[[1, 3], [2, 4], [3, 1], [6, 2], [12, 3]], 49255/3439853568], [[[1, 3], [2, 4], [3, 1], [6, 2], [14, 2]], 1/225792], [[[1, 3], [2, 4], [3, 1], [6, 2], [18, 2]], 359/26873856], [[[1, 3], [2, 4], [3, 1], [6, 4], [8, 2]], 338437/412782428160], [[[1, 3], [2, 4], [3, 1], [6, 4], [10, 2]], 1288333/1289945088000], [[[1, 3], [2, 4], [3, 1], [6, 4], [12, 2]], 1875523/619173642240], [[[1, 3], [2, 4], [3, 1], [6, 4], [15, 1]], 44173/64497254400], [[[1, 3], [2, 4], [3, 1], [6, 4], [20, 1]], 44173/42998169600], [[[1, 3], [2, 4], [3, 1], [6, 4], [24, 1]], 90253/51597803520], [[[1, 3], [2, 4], [3, 1], [6, 4], [30, 1]], 44173/64497254400], [[[1, 3], [2, 4], [3, 1], [6, 5], [7, 1]], 89/1881169920], [[[1, 3], [2, 4], [3, 1], [6, 5], [9, 1]], 41/716636160], [[[1, 3], [2, 4], [3, 1], [6, 5], [14, 1]], 29/376233984], [[[1, 3], [2, 4], [3, 1], [6, 5], [18, 1]], 16271/38698352640], [[[1, 3], [2, 4], [3, 1], [6, 6], [8, 1]], 3773/154793410560], [[[1, 3], [2, 4], [3, 1], [6, 6], [10, 1]], 5843/161243136000], [[[1, 3], [2, 4], [3, 1], [6, 6], [12, 1]], 575413/5572562780160], [[[1, 3], [2, 4], [3, 1], [7, 2], [8, 1]], 1/150528], [[[1, 3], [2, 4], [3, 1], [7, 2], [12, 1]], 1/150528], [[[1, 3], [2, 4], [3, 1], [8, 1], [9, 2]], 5/559872], [[[1, 3], [2, 4], [3, 1], [8, 1], [10, 3]], 1/2764800], [[[1, 3], [2, 4], [3, 1], [8, 1], [12, 3]], 11/15925248], [[[1, 3], [2, 4], [3, 1], [8, 1], [14, 2]], 1/50176], [[[1, 3], [2, 4], [3, 1], [8, 1], [18, 2]], 5/746496], [[[1, 3], [2, 4], [3, 1], [8, 2], [10, 2]], 517/1592524800], [[[1, 3], [2, 4], [3, 1], [8, 2], [12, 2]], 517/764411904], [[[1, 3], [2, 4], [3, 1], [8, 2], [15, 1]], 517/79626240], [[[1, 3], [2, 4], [3, 1], [8, 2], [16, 1]], 1/24576], [[[1, 3], [2, 4], [3, 1], [8, 2], [20, 1]], 517/53084160], [[[1, 3], [2, 4], [3, 1], [8, 2], [24, 1]], 311/21233664], [[[1, 3], [2, 4], [3, 1], [8, 2], [30, 1]], 517/79626240], [[[1, 3], [2, 4], [3, 1], [8, 3], [10, 1]], 1/884736], [[[1, 3], [2, 4], [3, 1], [8, 3], [12, 1]], 11/10616832], [[[1, 3], [2, 4], [3, 1], [9, 2], [10, 1]], 43/6998400], [[[1, 3], [2, 4], [3, 1], [9, 2], [12, 1]], 1/248832], [[[1, 3], [2, 4], [3, 1], [10, 1], [12, 3]], 43/49766400], [[[1, 3], [2, 4], [3, 1], [10, 2], [12, 2]], 13/2388787200], [[[1, 3], [2, 4], [3, 1], [10, 2], [15, 1]], 13/248832000], [[[1, 3], [2, 4], [3, 1], [10, 2], [20, 1]], 13/165888000], [[[1, 3], [2, 4], [3, 1], [10, 2], [24, 1]], 13/199065600], [[[1, 3], [2, 4], [3, 1], [10, 2], [30, 1]], 13/248832000], [[[1, 3], [2, 4], [3, 1], [10, 3], [12, 1]], 43/103680000], [[[1, 3], [2, 4], [3, 1], [12, 1], [14, 2]], 1/37632], [[[1, 3], [2, 4], [3, 1], [12, 1], [18, 2]], 13/1679616], [[[1, 3], [2, 4], [3, 1], [12, 1], [36, 1]], 13/1492992], [[[1, 3], [2, 4], [3, 1], [12, 2], [15, 1]], 13/119439360], [[[1, 3], [2, 4], [3, 1], [12, 2], [20, 1]], 13/79626240], [[[1, 3], [2, 4], [3, 1], [12, 2], [24, 1]], 169/95551488], [[[1, 3], [2, 4], [3, 1], [12, 2], [30, 1]], 13/119439360], [[[1, 3], [2, 4], [3, 1], [15, 1], [20, 1]], 13/8294400], [[[1, 3], [2, 4], [3, 1], [15, 1], [24, 1]], 13/9953280], [[[1, 3], [2, 4], [3, 1], [15, 1], [30, 1]], 13/777600], [[[1, 3], [2, 4], [3, 1], [20, 1], [24, 1]], 13/6635520], [[[1, 3], [2, 4], [3, 1], [20, 1], [30, 1]], 13/8294400], [[[1, 3], [2, 4], [3, 1], [24, 1], [30, 1]], 13/9953280], [[[1, 3], [2, 4], [3, 2], [4, 1], [5, 3]], 83/41472000], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 6]], 52697/2476694568960], [[[1, 3], [2, 4], [3, 2], [4, 1], [8, 3]], 169/14155776], [[[1, 3], [2, 4], [3, 2], [4, 1], [9, 2]], 67/17915904], [[[1, 3], [2, 4], [3, 2], [4, 1], [10, 3]], 1/13824000], [[[1, 3], [2, 4], [3, 2], [4, 1], [12, 3]], 1427/254803968], [[[1, 3], [2, 4], [3, 2], [4, 1], [28, 1]], 1/32256], [[[1, 3], [2, 4], [3, 2], [4, 1], [36, 1]], 1/41472], [[[1, 3], [2, 4], [3, 2], [4, 2], [6, 5]], 300617/619173642240], [[[1, 3], [2, 4], [3, 2], [4, 3], [5, 2]], 77/796262400], [[[1, 3], [2, 4], [3, 2], [4, 3], [6, 4]], 2933/41278242816], [[[1, 3], [2, 4], [3, 2], [4, 3], [8, 2]], 221/254803968], [[[1, 3], [2, 4], [3, 2], [4, 3], [10, 2]], 1/159252480], [[[1, 3], [2, 4], [3, 2], [4, 3], [12, 2]], 467/63700992], [[[1, 3], [2, 4], [3, 2], [4, 3], [15, 1]], 1/7962624], [[[1, 3], [2, 4], [3, 2], [4, 3], [16, 1]], 1/442368], [[[1, 3], [2, 4], [3, 2], [4, 3], [20, 1]], 197/26542080], [[[1, 3], [2, 4], [3, 2], [4, 3], [24, 1]], 5/31850496], [[[1, 3], [2, 4], [3, 2], [4, 3], [30, 1]], 1/7962624], [[[1, 3], [2, 4], [3, 2], [4, 4], [6, 3]], 8744251/4953389137920], [[[1, 3], [2, 4], [3, 2], [4, 4], [7, 1]], 1/743178240], [[[1, 3], [2, 4], [3, 2], [4, 4], [9, 1]], 5479/34398535680], [[[1, 3], [2, 4], [3, 2], [4, 4], [14, 1]], 1/278691840], [[[1, 3], [2, 4], [3, 2], [4, 4], [18, 1]], 7/4299816960], [[[1, 3], [2, 4], [3, 2], [4, 5], [5, 1]], 11/3185049600], [[[1, 3], [2, 4], [3, 2], [4, 5], [6, 2]], 428249/244611809280], [[[1, 3], [2, 4], [3, 2], [4, 5], [8, 1]], 71/1132462080], [[[1, 3], [2, 4], [3, 2], [4, 5], [10, 1]], 1/1061683200], [[[1, 3], [2, 4], [3, 2], [4, 5], [12, 1]], 9209/40768634880], [[[1, 3], [2, 4], [3, 2], [4, 6], [6, 1]], 1979/183458856960], [[[1, 3], [2, 4], [3, 2], [5, 1], [6, 5]], 263/10749542400], [[[1, 3], [2, 4], [3, 2], [5, 2], [6, 3]], 11857/64497254400], [[[1, 3], [2, 4], [3, 2], [5, 2], [7, 1]], 1/387072], [[[1, 3], [2, 4], [3, 2], [5, 2], [9, 1]], 1777/447897600], [[[1, 3], [2, 4], [3, 2], [5, 2], [14, 1]], 37/3628800], [[[1, 3], [2, 4], [3, 2], [5, 2], [18, 1]], 223/55987200], [[[1, 3], [2, 4], [3, 2], [5, 3], [6, 1]], 79/124416000], [[[1, 3], [2, 4], [3, 2], [6, 1], [7, 2]], 1/451584], [[[1, 3], [2, 4], [3, 2], [6, 1], [8, 3]], 433/31850496], [[[1, 3], [2, 4], [3, 2], [6, 1], [9, 2]], 145/13436928], [[[1, 3], [2, 4], [3, 2], [6, 1], [10, 3]], 1/4976640], [[[1, 3], [2, 4], [3, 2], [6, 1], [12, 3]], 6361/573308928], [[[1, 3], [2, 4], [3, 2], [6, 1], [14, 2]], 5/1354752], [[[1, 3], [2, 4], [3, 2], [6, 1], [18, 2]], 55/20155392], [[[1, 3], [2, 4], [3, 2], [6, 3], [8, 2]], 68845/20639121408], [[[1, 3], [2, 4], [3, 2], [6, 3], [10, 2]], 70609/64497254400], [[[1, 3], [2, 4], [3, 2], [6, 3], [12, 2]], 168583/30958682112], [[[1, 3], [2, 4], [3, 2], [6, 3], [15, 1]], 8401/3224862720], [[[1, 3], [2, 4], [3, 2], [6, 3], [20, 1]], 8401/2149908480], [[[1, 3], [2, 4], [3, 2], [6, 3], [24, 1]], 29785/2579890176], [[[1, 3], [2, 4], [3, 2], [6, 3], [30, 1]], 8401/3224862720], [[[1, 3], [2, 4], [3, 2], [6, 4], [7, 1]], 1913/7524679680], [[[1, 3], [2, 4], [3, 2], [6, 4], [9, 1]], 954563/38698352640], [[[1, 3], [2, 4], [3, 2], [6, 4], [14, 1]], 421/940584960], [[[1, 3], [2, 4], [3, 2], [6, 4], [18, 1]], 4247539/29023764480], [[[1, 3], [2, 4], [3, 2], [6, 5], [8, 1]], 1261/8599633920], [[[1, 3], [2, 4], [3, 2], [6, 5], [10, 1]], 1367/6449725440], [[[1, 3], [2, 4], [3, 2], [6, 5], [12, 1]], 144899/309586821120], [[[1, 3], [2, 4], [3, 2], [7, 1], [8, 2]], 13/3096576], [[[1, 3], [2, 4], [3, 2], [7, 1], [10, 2]], 1/9676800], [[[1, 3], [2, 4], [3, 2], [7, 1], [12, 2]], 19/4644864], [[[1, 3], [2, 4], [3, 2], [7, 1], [15, 1]], 1/483840], [[[1, 3], [2, 4], [3, 2], [7, 1], [20, 1]], 1/322560], [[[1, 3], [2, 4], [3, 2], [7, 1], [24, 1]], 1/387072], [[[1, 3], [2, 4], [3, 2], [7, 1], [30, 1]], 1/483840], [[[1, 3], [2, 4], [3, 2], [8, 2], [9, 1]], 985/143327232], [[[1, 3], [2, 4], [3, 2], [8, 2], [14, 1]], 5/580608], [[[1, 3], [2, 4], [3, 2], [8, 2], [18, 1]], 79/17915904], [[[1, 3], [2, 4], [3, 2], [9, 1], [10, 2]], 49/447897600], [[[1, 3], [2, 4], [3, 2], [9, 1], [12, 2]], 697/214990848], [[[1, 3], [2, 4], [3, 2], [9, 1], [15, 1]], 49/22394880], [[[1, 3], [2, 4], [3, 2], [9, 1], [20, 1]], 49/14929920], [[[1, 3], [2, 4], [3, 2], [9, 1], [24, 1]], 49/17915904], [[[1, 3], [2, 4], [3, 2], [9, 1], [30, 1]], 49/22394880], [[[1, 3], [2, 4], [3, 2], [10, 2], [14, 1]], 1/3628800], [[[1, 3], [2, 4], [3, 2], [10, 2], [18, 1]], 7/55987200], [[[1, 3], [2, 4], [3, 2], [12, 2], [14, 1]], 19/1741824], [[[1, 3], [2, 4], [3, 2], [12, 2], [18, 1]], 133/26873856], [[[1, 3], [2, 4], [3, 2], [14, 1], [15, 1]], 1/181440], [[[1, 3], [2, 4], [3, 2], [14, 1], [20, 1]], 1/120960], [[[1, 3], [2, 4], [3, 2], [14, 1], [24, 1]], 1/145152], [[[1, 3], [2, 4], [3, 2], [14, 1], [30, 1]], 1/181440], [[[1, 3], [2, 4], [3, 2], [15, 1], [18, 1]], 7/2799360], [[[1, 3], [2, 4], [3, 2], [18, 1], [20, 1]], 7/1866240], [[[1, 3], [2, 4], [3, 2], [18, 1], [24, 1]], 7/2239488], [[[1, 3], [2, 4], [3, 2], [18, 1], [30, 1]], 7/2799360], [[[1, 3], [2, 4], [3, 3], [4, 1], [6, 5]], 76453/116095057920], [[[1, 3], [2, 4], [3, 3], [4, 2], [5, 2]], 10903/171992678400], [[[1, 3], [2, 4], [3, 3], [4, 2], [6, 4]], 43260217/8916100448256], [[[1, 3], [2, 4], [3, 3], [4, 2], [8, 2]], 88987/55037657088], [[[1, 3], [2, 4], [3, 3], [4, 2], [10, 2]], 10903/171992678400], [[[1, 3], [2, 4], [3, 3], [4, 2], [12, 2]], 188689/82556485632], [[[1, 3], [2, 4], [3, 3], [4, 2], [15, 1]], 107/1719926784], [[[1, 3], [2, 4], [3, 3], [4, 2], [16, 1]], 1/663552], [[[1, 3], [2, 4], [3, 3], [4, 2], [20, 1]], 7447/5733089280], [[[1, 3], [2, 4], [3, 3], [4, 2], [24, 1]], 535/6879707136], [[[1, 3], [2, 4], [3, 3], [4, 2], [30, 1]], 107/1719926784], [[[1, 3], [2, 4], [3, 3], [4, 3], [6, 3]], 2525849/185752092672], [[[1, 3], [2, 4], [3, 3], [4, 3], [7, 1]], 1/111476736], [[[1, 3], [2, 4], [3, 3], [4, 3], [9, 1]], 11/143327232], [[[1, 3], [2, 4], [3, 3], [4, 3], [14, 1]], 1/47775744], [[[1, 3], [2, 4], [3, 3], [4, 3], [18, 1]], 13/1289945088], [[[1, 3], [2, 4], [3, 3], [4, 4], [5, 1]], 133/19110297600], [[[1, 3], [2, 4], [3, 3], [4, 4], [6, 2]], 6634561/29720334827520], [[[1, 3], [2, 4], [3, 3], [4, 4], [8, 1]], 20459/137594142720], [[[1, 3], [2, 4], [3, 3], [4, 4], [10, 1]], 2743/429981696000], [[[1, 3], [2, 4], [3, 3], [4, 4], [12, 1]], 248603/1651129712640], [[[1, 3], [2, 4], [3, 3], [4, 5], [6, 1]], 1/318504960], [[[1, 3], [2, 4], [3, 3], [5, 1], [6, 4]], 2821/21499084800], [[[1, 3], [2, 4], [3, 3], [5, 1], [8, 2]], 157/79626240], [[[1, 3], [2, 4], [3, 3], [5, 1], [10, 2]], 13/248832000], [[[1, 3], [2, 4], [3, 3], [5, 1], [12, 2]], 283/119439360], [[[1, 3], [2, 4], [3, 3], [5, 1], [15, 1]], 13/12441600], [[[1, 3], [2, 4], [3, 3], [5, 1], [20, 1]], 13/8294400], [[[1, 3], [2, 4], [3, 3], [5, 1], [24, 1]], 13/9953280], [[[1, 3], [2, 4], [3, 3], [5, 1], [30, 1]], 13/12441600], [[[1, 3], [2, 4], [3, 3], [5, 2], [6, 2]], 173551/386983526400], [[[1, 3], [2, 4], [3, 3], [5, 2], [8, 1]], 2711/1791590400], [[[1, 3], [2, 4], [3, 3], [5, 2], [10, 1]], 43/5598720000], [[[1, 3], [2, 4], [3, 3], [5, 2], [12, 1]], 4477/2388787200], [[[1, 3], [2, 4], [3, 3], [6, 2], [8, 2]], 495607/123834728448], [[[1, 3], [2, 4], [3, 3], [6, 2], [10, 2]], 98383/386983526400], [[[1, 3], [2, 4], [3, 3], [6, 2], [12, 2]], 1092217/185752092672], [[[1, 3], [2, 4], [3, 3], [6, 2], [15, 1]], 56911/19349176320], [[[1, 3], [2, 4], [3, 3], [6, 2], [20, 1]], 56911/12899450880], [[[1, 3], [2, 4], [3, 3], [6, 2], [24, 1]], 206599/15479341056], [[[1, 3], [2, 4], [3, 3], [6, 2], [30, 1]], 56911/19349176320], [[[1, 3], [2, 4], [3, 3], [6, 3], [7, 1]], 3329/1693052928], [[[1, 3], [2, 4], [3, 3], [6, 3], [9, 1]], 5089379/17414258688], [[[1, 3], [2, 4], [3, 3], [6, 3], [14, 1]], 6169/1693052928], [[[1, 3], [2, 4], [3, 3], [6, 3], [18, 1]], 30601229/104485552128], [[[1, 3], [2, 4], [3, 3], [6, 4], [8, 1]], 558709/464380231680], [[[1, 3], [2, 4], [3, 3], [6, 4], [10, 1]], 2502473/1451188224000], [[[1, 3], [2, 4], [3, 3], [6, 4], [12, 1]], 10726823/5572562780160], [[[1, 3], [2, 4], [3, 3], [7, 1], [9, 1]], 1/746496], [[[1, 3], [2, 4], [3, 3], [7, 1], [14, 1]], 13/3048192], [[[1, 3], [2, 4], [3, 3], [7, 1], [18, 1]], 1/2939328], [[[1, 3], [2, 4], [3, 3], [8, 1], [10, 2]], 119/1791590400], [[[1, 3], [2, 4], [3, 3], [8, 1], [12, 2]], 2657/859963392], [[[1, 3], [2, 4], [3, 3], [8, 1], [15, 1]], 119/89579520], [[[1, 3], [2, 4], [3, 3], [8, 1], [16, 1]], 1/1327104], [[[1, 3], [2, 4], [3, 3], [8, 1], [20, 1]], 119/59719680], [[[1, 3], [2, 4], [3, 3], [8, 1], [24, 1]], 119/71663616], [[[1, 3], [2, 4], [3, 3], [8, 1], [30, 1]], 119/89579520], [[[1, 3], [2, 4], [3, 3], [8, 2], [10, 1]], 43/1791590400], [[[1, 3], [2, 4], [3, 3], [8, 2], [12, 1]], 2389/764411904], [[[1, 3], [2, 4], [3, 3], [9, 1], [14, 1]], 1/279936], [[[1, 3], [2, 4], [3, 3], [9, 1], [18, 1]], 19/7558272], [[[1, 3], [2, 4], [3, 3], [10, 1], [12, 2]], 473/537477120], [[[1, 3], [2, 4], [3, 3], [10, 1], [15, 1]], 43/279936000], [[[1, 3], [2, 4], [3, 3], [10, 1], [20, 1]], 43/186624000], [[[1, 3], [2, 4], [3, 3], [10, 1], [24, 1]], 43/223948800], [[[1, 3], [2, 4], [3, 3], [10, 1], [30, 1]], 43/279936000], [[[1, 3], [2, 4], [3, 3], [10, 2], [12, 1]], 157/2388787200], [[[1, 3], [2, 4], [3, 3], [12, 1], [15, 1]], 157/119439360], [[[1, 3], [2, 4], [3, 3], [12, 1], [20, 1]], 157/79626240], [[[1, 3], [2, 4], [3, 3], [12, 1], [24, 1]], 157/95551488], [[[1, 3], [2, 4], [3, 3], [12, 1], [30, 1]], 157/119439360], [[[1, 3], [2, 4], [3, 3], [14, 1], [18, 1]], 13/23514624], [[[1, 3], [2, 4], [3, 4], [4, 1], [5, 2]], 73529/859963392000], [[[1, 3], [2, 4], [3, 4], [4, 1], [6, 4]], 197676767/44580502241280], [[[1, 3], [2, 4], [3, 4], [4, 1], [8, 2]], 103157/275188285440], [[[1, 3], [2, 4], [3, 4], [4, 1], [10, 2]], 997/171992678400], [[[1, 3], [2, 4], [3, 4], [4, 1], [12, 2]], 74635/82556485632], [[[1, 3], [2, 4], [3, 4], [4, 1], [15, 1]], 709/8599633920], [[[1, 3], [2, 4], [3, 4], [4, 1], [16, 1]], 1/238878720], [[[1, 3], [2, 4], [3, 4], [4, 1], [20, 1]], 709/5733089280], [[[1, 3], [2, 4], [3, 4], [4, 1], [24, 1]], 709/6879707136], [[[1, 3], [2, 4], [3, 4], [4, 1], [30, 1]], 709/8599633920], [[[1, 3], [2, 4], [3, 4], [4, 2], [6, 3]], 2040599/371504185344], [[[1, 3], [2, 4], [3, 4], [4, 2], [7, 1]], 187/160526499840], [[[1, 3], [2, 4], [3, 4], [4, 2], [9, 1]], 4387/123834728448], [[[1, 3], [2, 4], [3, 4], [4, 2], [14, 1]], 1/70778880], [[[1, 3], [2, 4], [3, 4], [4, 2], [18, 1]], 109/25798901760], [[[1, 3], [2, 4], [3, 4], [4, 3], [5, 1]], 191/38220595200], [[[1, 3], [2, 4], [3, 4], [4, 3], [6, 2]], 2053/68797071360], [[[1, 3], [2, 4], [3, 4], [4, 3], [8, 1]], 12607/733835427840], [[[1, 3], [2, 4], [3, 4], [4, 3], [10, 1]], 97/114661785600], [[[1, 3], [2, 4], [3, 4], [4, 3], [12, 1]], 11707/206391214080], [[[1, 3], [2, 4], [3, 4], [4, 4], [6, 1]], 305473/16511297126400], [[[1, 3], [2, 4], [3, 4], [5, 1], [6, 3]], 271997/290237644800], [[[1, 3], [2, 4], [3, 4], [5, 1], [7, 1]], 1/8601600], [[[1, 3], [2, 4], [3, 4], [5, 1], [9, 1]], 601/895795200], [[[1, 3], [2, 4], [3, 4], [5, 1], [14, 1]], 101/261273600], [[[1, 3], [2, 4], [3, 4], [5, 1], [18, 1]], 647/4031078400], [[[1, 3], [2, 4], [3, 4], [5, 2], [6, 1]], 109603/214990848000], [[[1, 3], [2, 4], [3, 4], [6, 1], [8, 2]], 57847/68797071360], [[[1, 3], [2, 4], [3, 4], [6, 1], [10, 2]], 6307/214990848000], [[[1, 3], [2, 4], [3, 4], [6, 1], [12, 2]], 250573/103195607040], [[[1, 3], [2, 4], [3, 4], [6, 1], [15, 1]], 5923/10749542400], [[[1, 3], [2, 4], [3, 4], [6, 1], [20, 1]], 5923/7166361600], [[[1, 3], [2, 4], [3, 4], [6, 1], [24, 1]], 11683/8599633920], [[[1, 3], [2, 4], [3, 4], [6, 1], [30, 1]], 5923/10749542400], [[[1, 3], [2, 4], [3, 4], [6, 2], [7, 1]], 457/1410877440], [[[1, 3], [2, 4], [3, 4], [6, 2], [9, 1]], 320839/174142586880], [[[1, 3], [2, 4], [3, 4], [6, 2], [14, 1]], 421/940584960], [[[1, 3], [2, 4], [3, 4], [6, 2], [18, 1]], 235/429981696], [[[1, 3], [2, 4], [3, 4], [6, 3], [8, 1]], 284927/232190115840], [[[1, 3], [2, 4], [3, 4], [6, 3], [10, 1]], 7547/32248627200], [[[1, 3], [2, 4], [3, 4], [6, 3], [12, 1]], 1485929/928760463360], [[[1, 3], [2, 4], [3, 4], [7, 1], [8, 1]], 61/418037760], [[[1, 3], [2, 4], [3, 4], [7, 1], [10, 1]], 1/290304000], [[[1, 3], [2, 4], [3, 4], [7, 1], [12, 1]], 5/13934592], [[[1, 3], [2, 4], [3, 4], [8, 1], [9, 1]], 5491/6449725440], [[[1, 3], [2, 4], [3, 4], [8, 1], [14, 1]], 1/2949120], [[[1, 3], [2, 4], [3, 4], [8, 1], [18, 1]], 527/3224862720], [[[1, 3], [2, 4], [3, 4], [9, 1], [10, 1]], 1763/20155392000], [[[1, 3], [2, 4], [3, 4], [9, 1], [12, 1]], 217/214990848], [[[1, 3], [2, 4], [3, 4], [10, 1], [14, 1]], 1/261273600], [[[1, 3], [2, 4], [3, 4], [10, 1], [18, 1]], 1/447897600], [[[1, 3], [2, 4], [3, 4], [12, 1], [14, 1]], 5/5225472], [[[1, 3], [2, 4], [3, 4], [12, 1], [18, 1]], 35/80621568], [[[1, 3], [2, 4], [3, 5], [4, 1], [6, 3]], 10397/23219011584], [[[1, 3], [2, 4], [3, 5], [4, 1], [7, 1]], 1/627056640], [[[1, 3], [2, 4], [3, 5], [4, 1], [9, 1]], 1211/25798901760], [[[1, 3], [2, 4], [3, 5], [4, 1], [14, 1]], 1/313528320], [[[1, 3], [2, 4], [3, 5], [4, 1], [18, 1]], 1/644972544], [[[1, 3], [2, 4], [3, 5], [4, 2], [5, 1]], 523/343985356800], [[[1, 3], [2, 4], [3, 5], [4, 2], [6, 2]], 5369687/14860167413760], [[[1, 3], [2, 4], [3, 5], [4, 2], [8, 1]], 569/137594142720], [[[1, 3], [2, 4], [3, 5], [4, 2], [10, 1]], 221/214990848000], [[[1, 3], [2, 4], [3, 5], [4, 2], [12, 1]], 8987/495338913792], [[[1, 3], [2, 4], [3, 5], [4, 3], [6, 1]], 977/206391214080], [[[1, 3], [2, 4], [3, 5], [5, 1], [6, 2]], 5909/38698352640], [[[1, 3], [2, 4], [3, 5], [5, 1], [8, 1]], 247/3583180800], [[[1, 3], [2, 4], [3, 5], [5, 1], [10, 1]], 1/622080000], [[[1, 3], [2, 4], [3, 5], [5, 1], [12, 1]], 211/1194393600], [[[1, 3], [2, 4], [3, 5], [6, 1], [7, 1]], 89/1881169920], [[[1, 3], [2, 4], [3, 5], [6, 1], [9, 1]], 6547/19349176320], [[[1, 3], [2, 4], [3, 5], [6, 1], [14, 1]], 29/376233984], [[[1, 3], [2, 4], [3, 5], [6, 1], [18, 1]], 677/12899450880], [[[1, 3], [2, 4], [3, 5], [6, 2], [8, 1]], 8501/51597803520], [[[1, 3], [2, 4], [3, 5], [6, 2], [10, 1]], 697/17915904000], [[[1, 3], [2, 4], [3, 5], [6, 2], [12, 1]], 919421/1857520926720], [[[1, 3], [2, 4], [3, 5], [8, 1], [10, 1]], 1/716636160], [[[1, 3], [2, 4], [3, 5], [8, 1], [12, 1]], 1921/8599633920], [[[1, 3], [2, 4], [3, 5], [10, 1], [12, 1]], 473/26873856000], [[[1, 3], [2, 4], [3, 6], [4, 1], [5, 1]], 7/3583180800], [[[1, 3], [2, 4], [3, 6], [4, 1], [6, 2]], 50777/2476694568960], [[[1, 3], [2, 4], [3, 6], [4, 1], [8, 1]], 539/103195607040], [[[1, 3], [2, 4], [3, 6], [4, 1], [10, 1]], 13/10749542400], [[[1, 3], [2, 4], [3, 6], [4, 1], [12, 1]], 4729/412782428160], [[[1, 3], [2, 4], [3, 6], [4, 2], [6, 1]], 2321/1857520926720], [[[1, 3], [2, 4], [3, 6], [5, 1], [6, 1]], 719/32248627200], [[[1, 3], [2, 4], [3, 6], [6, 1], [8, 1]], 613/25798901760], [[[1, 3], [2, 4], [3, 6], [6, 1], [10, 1]], 47/19349176320], [[[1, 3], [2, 4], [3, 6], [6, 1], [12, 1]], 77227/928760463360], [[[1, 3], [2, 4], [3, 7], [4, 1], [6, 1]], 103/116095057920], [[[1, 3], [2, 4], [4, 1], [5, 1], [6, 6]], 13/6449725440], [[[1, 3], [2, 4], [4, 1], [5, 1], [7, 2]], 1/125440], [[[1, 3], [2, 4], [4, 1], [5, 1], [8, 3]], 97/11796480], [[[1, 3], [2, 4], [4, 1], [5, 1], [9, 2]], 1/207360], [[[1, 3], [2, 4], [4, 1], [5, 1], [10, 3]], 1/240000], [[[1, 3], [2, 4], [4, 1], [5, 1], [12, 3]], 7/3317760], [[[1, 3], [2, 4], [4, 1], [5, 1], [14, 2]], 3/125440], [[[1, 3], [2, 4], [4, 1], [5, 1], [18, 2]], 1/124416], [[[1, 3], [2, 4], [4, 1], [5, 1], [28, 1]], 1/8960], [[[1, 3], [2, 4], [4, 1], [5, 1], [36, 1]], 1/11520], [[[1, 3], [2, 4], [4, 1], [5, 2], [6, 4]], 6329/859963392000], [[[1, 3], [2, 4], [4, 1], [5, 2], [8, 2]], 2581/1061683200], [[[1, 3], [2, 4], [4, 1], [5, 2], [10, 2]], 9829/3317760000], [[[1, 3], [2, 4], [4, 1], [5, 2], [12, 2]], 889/1592524800], [[[1, 3], [2, 4], [4, 1], [5, 2], [15, 1]], 889/165888000], [[[1, 3], [2, 4], [4, 1], [5, 2], [16, 1]], 1/921600], [[[1, 3], [2, 4], [4, 1], [5, 2], [20, 1]], 889/110592000], [[[1, 3], [2, 4], [4, 1], [5, 2], [24, 1]], 889/132710400], [[[1, 3], [2, 4], [4, 1], [5, 2], [30, 1]], 889/165888000], [[[1, 3], [2, 4], [4, 1], [5, 3], [6, 2]], 1/8294400], [[[1, 3], [2, 4], [4, 1], [5, 3], [8, 1]], 49/36864000], [[[1, 3], [2, 4], [4, 1], [5, 3], [10, 1]], 1/240000], [[[1, 3], [2, 4], [4, 1], [5, 3], [12, 1]], 1/2304000], [[[1, 3], [2, 4], [4, 1], [6, 2], [8, 3]], 851/63700992], [[[1, 3], [2, 4], [4, 1], [6, 2], [10, 3]], 79/13824000], [[[1, 3], [2, 4], [4, 1], [6, 2], [12, 3]], 21227/2293235712], [[[1, 3], [2, 4], [4, 1], [6, 2], [18, 2]], 11/1990656], [[[1, 3], [2, 4], [4, 1], [6, 2], [28, 1]], 5/96768], [[[1, 3], [2, 4], [4, 1], [6, 2], [36, 1]], 5/124416], [[[1, 3], [2, 4], [4, 1], [6, 4], [8, 2]], 133877/275188285440], [[[1, 3], [2, 4], [4, 1], [6, 4], [10, 2]], 33637/171992678400], [[[1, 3], [2, 4], [4, 1], [6, 4], [12, 2]], 118795/82556485632], [[[1, 3], [2, 4], [4, 1], [6, 4], [15, 1]], 1093/8599633920], [[[1, 3], [2, 4], [4, 1], [6, 4], [16, 1]], 1/238878720], [[[1, 3], [2, 4], [4, 1], [6, 4], [20, 1]], 1093/5733089280], [[[1, 3], [2, 4], [4, 1], [6, 4], [24, 1]], 1093/6879707136], [[[1, 3], [2, 4], [4, 1], [6, 4], [30, 1]], 1093/8599633920], [[[1, 3], [2, 4], [4, 1], [6, 5], [7, 1]], 1/418037760], [[[1, 3], [2, 4], [4, 1], [6, 5], [9, 1]], 1/644972544], [[[1, 3], [2, 4], [4, 1], [6, 5], [14, 1]], 1/313528320], [[[1, 3], [2, 4], [4, 1], [6, 5], [18, 1]], 1867/25798901760], [[[1, 3], [2, 4], [4, 1], [6, 6], [8, 1]], 1241/154793410560], [[[1, 3], [2, 4], [4, 1], [6, 6], [10, 1]], 113/32248627200], [[[1, 3], [2, 4], [4, 1], [6, 6], [12, 1]], 22187/1238347284480], [[[1, 3], [2, 4], [4, 1], [7, 2], [8, 1]], 13/401408], [[[1, 3], [2, 4], [4, 1], [7, 2], [10, 1]], 1/125440], [[[1, 3], [2, 4], [4, 1], [7, 2], [12, 1]], 1/75264], [[[1, 3], [2, 4], [4, 1], [8, 1], [9, 2]], 35/1990656], [[[1, 3], [2, 4], [4, 1], [8, 1], [10, 3]], 173/92160000], [[[1, 3], [2, 4], [4, 1], [8, 1], [12, 3]], 73/15925248], [[[1, 3], [2, 4], [4, 1], [8, 1], [14, 2]], 17/200704], [[[1, 3], [2, 4], [4, 1], [8, 1], [18, 2]], 83/2985984], [[[1, 3], [2, 4], [4, 1], [8, 1], [28, 1]], 1/6144], [[[1, 3], [2, 4], [4, 1], [8, 1], [36, 1]], 7/55296], [[[1, 3], [2, 4], [4, 1], [8, 2], [10, 2]], 3157/1061683200], [[[1, 3], [2, 4], [4, 1], [8, 2], [12, 2]], 1717/509607936], [[[1, 3], [2, 4], [4, 1], [8, 2], [15, 1]], 1717/53084160], [[[1, 3], [2, 4], [4, 1], [8, 2], [16, 1]], 311/589824], [[[1, 3], [2, 4], [4, 1], [8, 2], [20, 1]], 5749/35389440], [[[1, 3], [2, 4], [4, 1], [8, 2], [24, 1]], 3527/14155776], [[[1, 3], [2, 4], [4, 1], [8, 2], [30, 1]], 1717/53084160], [[[1, 3], [2, 4], [4, 1], [8, 3], [10, 1]], 373/29491200], [[[1, 3], [2, 4], [4, 1], [8, 3], [12, 1]], 5/1179648], [[[1, 3], [2, 4], [4, 1], [9, 2], [10, 1]], 1/207360], [[[1, 3], [2, 4], [4, 1], [9, 2], [12, 1]], 1/124416], [[[1, 3], [2, 4], [4, 1], [10, 1], [12, 3]], 7/1990656], [[[1, 3], [2, 4], [4, 1], [10, 1], [14, 2]], 3/125440], [[[1, 3], [2, 4], [4, 1], [10, 1], [18, 2]], 1/124416], [[[1, 3], [2, 4], [4, 1], [10, 1], [28, 1]], 1/5376], [[[1, 3], [2, 4], [4, 1], [10, 1], [36, 1]], 1/6912], [[[1, 3], [2, 4], [4, 1], [10, 2], [12, 2]], 293/318504960], [[[1, 3], [2, 4], [4, 1], [10, 2], [15, 1]], 293/33177600], [[[1, 3], [2, 4], [4, 1], [10, 2], [16, 1]], 1/921600], [[[1, 3], [2, 4], [4, 1], [10, 2], [20, 1]], 293/22118400], [[[1, 3], [2, 4], [4, 1], [10, 2], [24, 1]], 293/26542080], [[[1, 3], [2, 4], [4, 1], [10, 2], [30, 1]], 293/33177600], [[[1, 3], [2, 4], [4, 1], [10, 3], [12, 1]], 1/1382400], [[[1, 3], [2, 4], [4, 1], [12, 1], [14, 2]], 1/25088], [[[1, 3], [2, 4], [4, 1], [12, 1], [18, 2]], 5/373248], [[[1, 3], [2, 4], [4, 1], [12, 1], [36, 1]], 25/995328], [[[1, 3], [2, 4], [4, 1], [12, 2], [15, 1]], 5/15925248], [[[1, 3], [2, 4], [4, 1], [12, 2], [16, 1]], 1/442368], [[[1, 3], [2, 4], [4, 1], [12, 2], [20, 1]], 5/10616832], [[[1, 3], [2, 4], [4, 1], [12, 2], [24, 1]], 325/63700992], [[[1, 3], [2, 4], [4, 1], [12, 2], [30, 1]], 5/15925248], [[[1, 3], [2, 4], [4, 1], [15, 1], [16, 1]], 1/46080], [[[1, 3], [2, 4], [4, 1], [15, 1], [20, 1]], 1/221184], [[[1, 3], [2, 4], [4, 1], [15, 1], [24, 1]], 5/1327104], [[[1, 3], [2, 4], [4, 1], [15, 1], [30, 1]], 1/20736], [[[1, 3], [2, 4], [4, 1], [16, 1], [20, 1]], 1/30720], [[[1, 3], [2, 4], [4, 1], [16, 1], [24, 1]], 1/36864], [[[1, 3], [2, 4], [4, 1], [16, 1], [30, 1]], 1/46080], [[[1, 3], [2, 4], [4, 1], [20, 1], [24, 1]], 5/884736], [[[1, 3], [2, 4], [4, 1], [20, 1], [30, 1]], 1/221184], [[[1, 3], [2, 4], [4, 1], [24, 1], [30, 1]], 5/1327104], [[[1, 3], [2, 4], [4, 2], [5, 1], [6, 5]], 59/42998169600], [[[1, 3], [2, 4], [4, 2], [5, 2], [6, 3]], 641/7166361600], [[[1, 3], [2, 4], [4, 2], [5, 2], [7, 1]], 3643/619315200], [[[1, 3], [2, 4], [4, 2], [5, 2], [9, 1]], 10903/2388787200], [[[1, 3], [2, 4], [4, 2], [5, 2], [14, 1]], 121/10321920], [[[1, 3], [2, 4], [4, 2], [5, 2], [18, 1]], 121/19906560], [[[1, 3], [2, 4], [4, 2], [5, 3], [6, 1]], 59/165888000], [[[1, 3], [2, 4], [4, 2], [6, 1], [7, 2]], 1/602112], [[[1, 3], [2, 4], [4, 2], [6, 1], [8, 3]], 15929/169869312], [[[1, 3], [2, 4], [4, 2], [6, 1], [9, 2]], 5/8957952], [[[1, 3], [2, 4], [4, 2], [6, 1], [10, 3]], 643/110592000], [[[1, 3], [2, 4], [4, 2], [6, 1], [12, 3]], 7531/191102976], [[[1, 3], [2, 4], [4, 2], [6, 1], [14, 2]], 1/1806336], [[[1, 3], [2, 4], [4, 2], [6, 1], [18, 2]], 1/279936], [[[1, 3], [2, 4], [4, 2], [6, 1], [28, 1]], 1/6144], [[[1, 3], [2, 4], [4, 2], [6, 1], [36, 1]], 19/165888], [[[1, 3], [2, 4], [4, 2], [6, 3], [8, 2]], 5285/2293235712], [[[1, 3], [2, 4], [4, 2], [6, 3], [10, 2]], 301/1433272320], [[[1, 3], [2, 4], [4, 2], [6, 3], [12, 2]], 12143/3439853568], [[[1, 3], [2, 4], [4, 2], [6, 3], [15, 1]], 13/71663616], [[[1, 3], [2, 4], [4, 2], [6, 3], [16, 1]], 1/497664], [[[1, 3], [2, 4], [4, 2], [6, 3], [20, 1]], 449/238878720], [[[1, 3], [2, 4], [4, 2], [6, 3], [24, 1]], 65/286654464], [[[1, 3], [2, 4], [4, 2], [6, 3], [30, 1]], 13/71663616], [[[1, 3], [2, 4], [4, 2], [6, 4], [7, 1]], 4667/160526499840], [[[1, 3], [2, 4], [4, 2], [6, 4], [9, 1]], 1771/123834728448], [[[1, 3], [2, 4], [4, 2], [6, 4], [14, 1]], 1/70778880], [[[1, 3], [2, 4], [4, 2], [6, 4], [18, 1]], 2869/25798901760], [[[1, 3], [2, 4], [4, 2], [6, 5], [8, 1]], 1661/137594142720], [[[1, 3], [2, 4], [4, 2], [6, 5], [10, 1]], 227/28665446400], [[[1, 3], [2, 4], [4, 2], [6, 5], [12, 1]], 109/2293235712], [[[1, 3], [2, 4], [4, 2], [7, 1], [8, 2]], 31183/198180864], [[[1, 3], [2, 4], [4, 2], [7, 1], [10, 2]], 3643/619315200], [[[1, 3], [2, 4], [4, 2], [7, 1], [12, 2]], 14011/297271296], [[[1, 3], [2, 4], [4, 2], [7, 1], [15, 1]], 187/30965760], [[[1, 3], [2, 4], [4, 2], [7, 1], [16, 1]], 1/7168], [[[1, 3], [2, 4], [4, 2], [7, 1], [20, 1]], 2491/20643840], [[[1, 3], [2, 4], [4, 2], [7, 1], [24, 1]], 187/24772608], [[[1, 3], [2, 4], [4, 2], [7, 1], [30, 1]], 187/30965760], [[[1, 3], [2, 4], [4, 2], [8, 2], [9, 1]], 88987/764411904], [[[1, 3], [2, 4], [4, 2], [8, 2], [14, 1]], 4817/16515072], [[[1, 3], [2, 4], [4, 2], [8, 2], [18, 1]], 4817/31850496], [[[1, 3], [2, 4], [4, 2], [9, 1], [10, 2]], 10903/2388787200], [[[1, 3], [2, 4], [4, 2], [9, 1], [12, 2]], 42007/1146617856], [[[1, 3], [2, 4], [4, 2], [9, 1], [15, 1]], 107/23887872], [[[1, 3], [2, 4], [4, 2], [9, 1], [16, 1]], 1/9216], [[[1, 3], [2, 4], [4, 2], [9, 1], [20, 1]], 7447/79626240], [[[1, 3], [2, 4], [4, 2], [9, 1], [24, 1]], 535/95551488], [[[1, 3], [2, 4], [4, 2], [9, 1], [30, 1]], 107/23887872], [[[1, 3], [2, 4], [4, 2], [10, 2], [14, 1]], 121/10321920], [[[1, 3], [2, 4], [4, 2], [10, 2], [18, 1]], 121/19906560], [[[1, 3], [2, 4], [4, 2], [12, 2], [14, 1]], 2333/24772608], [[[1, 3], [2, 4], [4, 2], [12, 2], [18, 1]], 2333/47775744], [[[1, 3], [2, 4], [4, 2], [14, 1], [15, 1]], 29/2580480], [[[1, 3], [2, 4], [4, 2], [14, 1], [16, 1]], 1/3584], [[[1, 3], [2, 4], [4, 2], [14, 1], [20, 1]], 59/245760], [[[1, 3], [2, 4], [4, 2], [14, 1], [24, 1]], 29/2064384], [[[1, 3], [2, 4], [4, 2], [14, 1], [30, 1]], 29/2580480], [[[1, 3], [2, 4], [4, 2], [15, 1], [18, 1]], 29/4976640], [[[1, 3], [2, 4], [4, 2], [16, 1], [18, 1]], 1/6912], [[[1, 3], [2, 4], [4, 2], [18, 1], [20, 1]], 413/3317760], [[[1, 3], [2, 4], [4, 2], [18, 1], [24, 1]], 29/3981312], [[[1, 3], [2, 4], [4, 2], [18, 1], [30, 1]], 29/4976640], [[[1, 3], [2, 4], [4, 3], [5, 1], [6, 4]], 13/1415577600], [[[1, 3], [2, 4], [4, 3], [5, 1], [8, 2]], 983/9437184], [[[1, 3], [2, 4], [4, 3], [5, 1], [10, 2]], 12127/147456000], [[[1, 3], [2, 4], [4, 3], [5, 1], [12, 2]], 3103/70778880], [[[1, 3], [2, 4], [4, 3], [5, 1], [15, 1]], 31/7372800], [[[1, 3], [2, 4], [4, 3], [5, 1], [16, 1]], 13/122880], [[[1, 3], [2, 4], [4, 3], [5, 1], [20, 1]], 181/1638400], [[[1, 3], [2, 4], [4, 3], [5, 1], [24, 1]], 31/5898240], [[[1, 3], [2, 4], [4, 3], [5, 1], [30, 1]], 31/7372800], [[[1, 3], [2, 4], [4, 3], [5, 2], [6, 2]], 19/796262400], [[[1, 3], [2, 4], [4, 3], [5, 2], [8, 1]], 44863/2831155200], [[[1, 3], [2, 4], [4, 3], [5, 2], [10, 1]], 7277/88473600], [[[1, 3], [2, 4], [4, 3], [5, 2], [12, 1]], 7799/796262400], [[[1, 3], [2, 4], [4, 3], [6, 2], [8, 2]], 691/254803968], [[[1, 3], [2, 4], [4, 3], [6, 2], [10, 2]], 523/796262400], [[[1, 3], [2, 4], [4, 3], [6, 2], [12, 2]], 1073/95551488], [[[1, 3], [2, 4], [4, 3], [6, 2], [15, 1]], 19/39813120], [[[1, 3], [2, 4], [4, 3], [6, 2], [16, 1]], 5/1327104], [[[1, 3], [2, 4], [4, 3], [6, 2], [20, 1]], 113/8847360], [[[1, 3], [2, 4], [4, 3], [6, 2], [24, 1]], 19/31850496], [[[1, 3], [2, 4], [4, 3], [6, 2], [30, 1]], 19/39813120], [[[1, 3], [2, 4], [4, 3], [6, 3], [7, 1]], 5/334430208], [[[1, 3], [2, 4], [4, 3], [6, 3], [9, 1]], 13/1289945088], [[[1, 3], [2, 4], [4, 3], [6, 3], [14, 1]], 1/47775744], [[[1, 3], [2, 4], [4, 3], [6, 3], [18, 1]], 119/429981696], [[[1, 3], [2, 4], [4, 3], [6, 4], [8, 1]], 33727/733835427840], [[[1, 3], [2, 4], [4, 3], [6, 4], [10, 1]], 2177/114661785600], [[[1, 3], [2, 4], [4, 3], [6, 4], [12, 1]], 26707/206391214080], [[[1, 3], [2, 4], [4, 3], [7, 1], [9, 1]], 1/1548288], [[[1, 3], [2, 4], [4, 3], [7, 1], [14, 1]], 79/802816], [[[1, 3], [2, 4], [4, 3], [7, 1], [18, 1]], 5/4644864], [[[1, 3], [2, 4], [4, 3], [8, 1], [10, 2]], 44863/2831155200], [[[1, 3], [2, 4], [4, 3], [8, 1], [12, 2]], 112021/452984832], [[[1, 3], [2, 4], [4, 3], [8, 1], [15, 1]], 6847/141557760], [[[1, 3], [2, 4], [4, 3], [8, 1], [16, 1]], 643/1179648], [[[1, 3], [2, 4], [4, 3], [8, 1], [20, 1]], 13781/31457280], [[[1, 3], [2, 4], [4, 3], [8, 1], [24, 1]], 17983/113246208], [[[1, 3], [2, 4], [4, 3], [8, 1], [30, 1]], 6847/141557760], [[[1, 3], [2, 4], [4, 3], [8, 2], [10, 1]], 14941/141557760], [[[1, 3], [2, 4], [4, 3], [8, 2], [12, 1]], 111035/254803968], [[[1, 3], [2, 4], [4, 3], [9, 1], [14, 1]], 1/663552], [[[1, 3], [2, 4], [4, 3], [9, 1], [18, 1]], 2483/35831808], [[[1, 3], [2, 4], [4, 3], [10, 1], [12, 2]], 10849/212336640], [[[1, 3], [2, 4], [4, 3], [10, 1], [15, 1]], 97/22118400], [[[1, 3], [2, 4], [4, 3], [10, 1], [16, 1]], 41/368640], [[[1, 3], [2, 4], [4, 3], [10, 1], [20, 1]], 1889/14745600], [[[1, 3], [2, 4], [4, 3], [10, 1], [24, 1]], 97/17694720], [[[1, 3], [2, 4], [4, 3], [10, 1], [30, 1]], 97/22118400], [[[1, 3], [2, 4], [4, 3], [10, 2], [12, 1]], 8951/796262400], [[[1, 3], [2, 4], [4, 3], [12, 1], [15, 1]], 887/39813120], [[[1, 3], [2, 4], [4, 3], [12, 1], [16, 1]], 391/1769472], [[[1, 3], [2, 4], [4, 3], [12, 1], [20, 1]], 5987/26542080], [[[1, 3], [2, 4], [4, 3], [12, 1], [24, 1]], 2753/31850496], [[[1, 3], [2, 4], [4, 3], [12, 1], [30, 1]], 887/39813120], [[[1, 3], [2, 4], [4, 3], [14, 1], [18, 1]], 1/663552], [[[1, 3], [2, 4], [4, 4], [5, 1], [6, 3]], 727/85996339200], [[[1, 3], [2, 4], [4, 4], [5, 1], [7, 1]], 121/206438400], [[[1, 3], [2, 4], [4, 4], [5, 1], [9, 1]], 121/265420800], [[[1, 3], [2, 4], [4, 4], [5, 1], [14, 1]], 13/11059200], [[[1, 3], [2, 4], [4, 4], [5, 1], [18, 1]], 727/1194393600], [[[1, 3], [2, 4], [4, 4], [5, 2], [6, 1]], 2137/7077888000], [[[1, 3], [2, 4], [4, 4], [6, 1], [8, 2]], 120079/6794772480], [[[1, 3], [2, 4], [4, 4], [6, 1], [10, 2]], 18059/21233664000], [[[1, 3], [2, 4], [4, 4], [6, 1], [12, 2]], 253451/10192158720], [[[1, 3], [2, 4], [4, 4], [6, 1], [15, 1]], 217/353894400], [[[1, 3], [2, 4], [4, 4], [6, 1], [16, 1]], 5/294912], [[[1, 3], [2, 4], [4, 4], [6, 1], [20, 1]], 1861/47185920], [[[1, 3], [2, 4], [4, 4], [6, 1], [24, 1]], 217/283115520], [[[1, 3], [2, 4], [4, 4], [6, 1], [30, 1]], 217/353894400], [[[1, 3], [2, 4], [4, 4], [6, 2], [7, 1]], 101/3344302080], [[[1, 3], [2, 4], [4, 4], [6, 2], [9, 1]], 29/3224862720], [[[1, 3], [2, 4], [4, 4], [6, 2], [14, 1]], 1/278691840], [[[1, 3], [2, 4], [4, 4], [6, 2], [18, 1]], 131/382205952], [[[1, 3], [2, 4], [4, 4], [6, 3], [8, 1]], 13597/68797071360], [[[1, 3], [2, 4], [4, 4], [6, 3], [10, 1]], 97/9555148800], [[[1, 3], [2, 4], [4, 4], [6, 3], [12, 1]], 73369/275188285440], [[[1, 3], [2, 4], [4, 4], [7, 1], [8, 1]], 1711/123863040], [[[1, 3], [2, 4], [4, 4], [7, 1], [10, 1]], 17/28672000], [[[1, 3], [2, 4], [4, 4], [7, 1], [12, 1]], 835/74317824], [[[1, 3], [2, 4], [4, 4], [8, 1], [9, 1]], 20351/1911029760], [[[1, 3], [2, 4], [4, 4], [8, 1], [14, 1]], 13507/495452160], [[[1, 3], [2, 4], [4, 4], [8, 1], [18, 1]], 13507/955514880], [[[1, 3], [2, 4], [4, 4], [9, 1], [10, 1]], 2743/5971968000], [[[1, 3], [2, 4], [4, 4], [9, 1], [12, 1]], 2479/286654464], [[[1, 3], [2, 4], [4, 4], [10, 1], [14, 1]], 13/11059200], [[[1, 3], [2, 4], [4, 4], [10, 1], [18, 1]], 1/1638400], [[[1, 3], [2, 4], [4, 4], [12, 1], [14, 1]], 137/6193152], [[[1, 3], [2, 4], [4, 4], [12, 1], [18, 1]], 137/11943936], [[[1, 3], [2, 4], [4, 5], [5, 1], [6, 2]], 1/637009920], [[[1, 3], [2, 4], [4, 5], [5, 1], [8, 1]], 1105/113246208], [[[1, 3], [2, 4], [4, 5], [5, 1], [10, 1]], 167/36864000], [[[1, 3], [2, 4], [4, 5], [5, 1], [12, 1]], 97/11796480], [[[1, 3], [2, 4], [4, 5], [6, 1], [7, 1]], 11/123863040], [[[1, 3], [2, 4], [4, 5], [6, 1], [9, 1]], 1/21233664], [[[1, 3], [2, 4], [4, 5], [6, 1], [14, 1]], 19/371589120], [[[1, 3], [2, 4], [4, 5], [6, 1], [18, 1]], 9251/22932357120], [[[1, 3], [2, 4], [4, 5], [6, 2], [8, 1]], 2027/15288238080], [[[1, 3], [2, 4], [4, 5], [6, 2], [10, 1]], 1/39321600], [[[1, 3], [2, 4], [4, 5], [6, 2], [12, 1]], 56939/122305904640], [[[1, 3], [2, 4], [4, 5], [8, 1], [10, 1]], 70073/7077888000], [[[1, 3], [2, 4], [4, 5], [8, 1], [12, 1]], 120481/1698693120], [[[1, 3], [2, 4], [4, 5], [10, 1], [12, 1]], 907/106168320], [[[1, 3], [2, 4], [4, 6], [5, 1], [6, 1]], 419/12740198400], [[[1, 3], [2, 4], [4, 6], [6, 1], [8, 1]], 39581/40768634880], [[[1, 3], [2, 4], [4, 6], [6, 1], [10, 1]], 811/8493465600], [[[1, 3], [2, 4], [4, 6], [6, 1], [12, 1]], 7295/6115295232], [[[1, 3], [2, 4], [5, 1], [6, 1], [8, 3]], 1/1474560], [[[1, 3], [2, 4], [5, 1], [6, 1], [10, 3]], 1/2160000], [[[1, 3], [2, 4], [5, 1], [6, 1], [12, 3]], 7/9953280], [[[1, 3], [2, 4], [5, 1], [6, 1], [18, 2]], 7/1399680], [[[1, 3], [2, 4], [5, 1], [6, 3], [8, 2]], 7/358318080], [[[1, 3], [2, 4], [5, 1], [6, 3], [10, 2]], 7/1119744000], [[[1, 3], [2, 4], [5, 1], [6, 3], [12, 2]], 77/107495424], [[[1, 3], [2, 4], [5, 1], [6, 3], [15, 1]], 7/55987200], [[[1, 3], [2, 4], [5, 1], [6, 3], [20, 1]], 7/37324800], [[[1, 3], [2, 4], [5, 1], [6, 3], [24, 1]], 7/44789760], [[[1, 3], [2, 4], [5, 1], [6, 3], [30, 1]], 7/55987200], [[[1, 3], [2, 4], [5, 1], [6, 4], [7, 1]], 1/696729600], [[[1, 3], [2, 4], [5, 1], [6, 4], [9, 1]], 1/895795200], [[[1, 3], [2, 4], [5, 1], [6, 4], [14, 1]], 1/261273600], [[[1, 3], [2, 4], [5, 1], [6, 4], [18, 1]], 287/4031078400], [[[1, 3], [2, 4], [5, 1], [6, 5], [8, 1]], 1/1194393600], [[[1, 3], [2, 4], [5, 1], [6, 5], [10, 1]], 1/559872000], [[[1, 3], [2, 4], [5, 1], [6, 5], [12, 1]], 77/5374771200], [[[1, 3], [2, 4], [5, 1], [7, 1], [8, 2]], 1/860160], [[[1, 3], [2, 4], [5, 1], [7, 1], [10, 2]], 1/2688000], [[[1, 3], [2, 4], [5, 1], [7, 1], [12, 2]], 1/1290240], [[[1, 3], [2, 4], [5, 1], [7, 1], [15, 1]], 1/134400], [[[1, 3], [2, 4], [5, 1], [7, 1], [20, 1]], 1/89600], [[[1, 3], [2, 4], [5, 1], [7, 1], [24, 1]], 1/107520], [[[1, 3], [2, 4], [5, 1], [7, 1], [30, 1]], 1/134400], [[[1, 3], [2, 4], [5, 1], [8, 2], [9, 1]], 1/1105920], [[[1, 3], [2, 4], [5, 1], [8, 2], [14, 1]], 1/322560], [[[1, 3], [2, 4], [5, 1], [8, 2], [18, 1]], 7/4976640], [[[1, 3], [2, 4], [5, 1], [9, 1], [10, 2]], 1/3456000], [[[1, 3], [2, 4], [5, 1], [9, 1], [12, 2]], 1/1658880], [[[1, 3], [2, 4], [5, 1], [9, 1], [15, 1]], 1/172800], [[[1, 3], [2, 4], [5, 1], [9, 1], [20, 1]], 1/115200], [[[1, 3], [2, 4], [5, 1], [9, 1], [24, 1]], 1/138240], [[[1, 3], [2, 4], [5, 1], [9, 1], [30, 1]], 1/172800], [[[1, 3], [2, 4], [5, 1], [10, 2], [14, 1]], 1/1008000], [[[1, 3], [2, 4], [5, 1], [10, 2], [18, 1]], 7/15552000], [[[1, 3], [2, 4], [5, 1], [12, 2], [14, 1]], 1/483840], [[[1, 3], [2, 4], [5, 1], [12, 2], [18, 1]], 7/7464960], [[[1, 3], [2, 4], [5, 1], [14, 1], [15, 1]], 1/50400], [[[1, 3], [2, 4], [5, 1], [14, 1], [20, 1]], 1/33600], [[[1, 3], [2, 4], [5, 1], [14, 1], [24, 1]], 1/40320], [[[1, 3], [2, 4], [5, 1], [14, 1], [30, 1]], 1/50400], [[[1, 3], [2, 4], [5, 1], [15, 1], [18, 1]], 7/777600], [[[1, 3], [2, 4], [5, 1], [18, 1], [20, 1]], 7/518400], [[[1, 3], [2, 4], [5, 1], [18, 1], [24, 1]], 7/622080], [[[1, 3], [2, 4], [5, 1], [18, 1], [30, 1]], 7/777600], [[[1, 3], [2, 4], [5, 2], [6, 1], [8, 2]], 29/88473600], [[[1, 3], [2, 4], [5, 2], [6, 1], [10, 2]], 143/92160000], [[[1, 3], [2, 4], [5, 2], [6, 1], [12, 2]], 1/132710400], [[[1, 3], [2, 4], [5, 2], [6, 1], [15, 1]], 1/13824000], [[[1, 3], [2, 4], [5, 2], [6, 1], [20, 1]], 1/9216000], [[[1, 3], [2, 4], [5, 2], [6, 1], [24, 1]], 1/11059200], [[[1, 3], [2, 4], [5, 2], [6, 1], [30, 1]], 1/13824000], [[[1, 3], [2, 4], [5, 2], [6, 2], [7, 1]], 11/43545600], [[[1, 3], [2, 4], [5, 2], [6, 2], [9, 1]], 13/83980800], [[[1, 3], [2, 4], [5, 2], [6, 2], [14, 1]], 1/3628800], [[[1, 3], [2, 4], [5, 2], [6, 2], [18, 1]], 1/4976640], [[[1, 3], [2, 4], [5, 2], [6, 3], [8, 1]], 97/895795200], [[[1, 3], [2, 4], [5, 2], [6, 3], [10, 1]], 17/124416000], [[[1, 3], [2, 4], [5, 2], [6, 3], [12, 1]], 17/132710400], [[[1, 3], [2, 4], [5, 2], [7, 1], [8, 1]], 1/1612800], [[[1, 3], [2, 4], [5, 2], [7, 1], [10, 1]], 1/1120000], [[[1, 3], [2, 4], [5, 2], [8, 1], [9, 1]], 11/24883200], [[[1, 3], [2, 4], [5, 2], [8, 1], [14, 1]], 1/921600], [[[1, 3], [2, 4], [5, 2], [8, 1], [18, 1]], 7/12441600], [[[1, 3], [2, 4], [5, 2], [9, 1], [10, 1]], 43/77760000], [[[1, 3], [2, 4], [5, 2], [10, 1], [14, 1]], 1/1008000], [[[1, 3], [2, 4], [5, 2], [10, 1], [18, 1]], 1/1728000], [[[1, 3], [2, 4], [5, 3], [6, 1], [8, 1]], 1/4608000], [[[1, 3], [2, 4], [5, 3], [6, 1], [10, 1]], 1/2160000], [[[1, 3], [2, 4], [5, 3], [6, 1], [12, 1]], 7/20736000], [[[1, 3], [2, 4], [6, 1], [7, 2], [8, 1]], 1/150528], [[[1, 3], [2, 4], [6, 1], [7, 2], [10, 1]], 1/47040], [[[1, 3], [2, 4], [6, 1], [7, 2], [12, 1]], 1/75264], [[[1, 3], [2, 4], [6, 1], [8, 1], [9, 2]], 1/248832], [[[1, 3], [2, 4], [6, 1], [8, 1], [10, 3]], 1/1152000], [[[1, 3], [2, 4], [6, 1], [8, 1], [12, 3]], 7/7962624], [[[1, 3], [2, 4], [6, 1], [8, 1], [14, 2]], 1/50176], [[[1, 3], [2, 4], [6, 1], [8, 1], [18, 2]], 29/2239488], [[[1, 3], [2, 4], [6, 1], [8, 2], [10, 2]], 157/88473600], [[[1, 3], [2, 4], [6, 1], [8, 2], [12, 2]], 29/42467328], [[[1, 3], [2, 4], [6, 1], [8, 2], [15, 1]], 29/4423680], [[[1, 3], [2, 4], [6, 1], [8, 2], [16, 1]], 1/24576], [[[1, 3], [2, 4], [6, 1], [8, 2], [20, 1]], 29/2949120], [[[1, 3], [2, 4], [6, 1], [8, 2], [24, 1]], 61/3538944], [[[1, 3], [2, 4], [6, 1], [8, 2], [30, 1]], 29/4423680], [[[1, 3], [2, 4], [6, 1], [8, 3], [10, 1]], 1/368640], [[[1, 3], [2, 4], [6, 1], [8, 3], [12, 1]], 7/5308416], [[[1, 3], [2, 4], [6, 1], [9, 2], [10, 1]], 1/116640], [[[1, 3], [2, 4], [6, 1], [9, 2], [12, 1]], 7/1119744], [[[1, 3], [2, 4], [6, 1], [10, 1], [12, 3]], 1/1105920], [[[1, 3], [2, 4], [6, 1], [10, 1], [14, 2]], 1/47040], [[[1, 3], [2, 4], [6, 1], [10, 1], [18, 2]], 7/466560], [[[1, 3], [2, 4], [6, 1], [10, 2], [12, 2]], 43/44236800], [[[1, 3], [2, 4], [6, 1], [10, 2], [15, 1]], 43/4608000], [[[1, 3], [2, 4], [6, 1], [10, 2], [20, 1]], 43/3072000], [[[1, 3], [2, 4], [6, 1], [10, 2], [24, 1]], 43/3686400], [[[1, 3], [2, 4], [6, 1], [10, 2], [30, 1]], 43/4608000], [[[1, 3], [2, 4], [6, 1], [10, 3], [12, 1]], 1/2304000], [[[1, 3], [2, 4], [6, 1], [12, 1], [14, 2]], 5/225792], [[[1, 3], [2, 4], [6, 1], [12, 1], [18, 2]], 1/124416], [[[1, 3], [2, 4], [6, 1], [12, 1], [36, 1]], 1/82944], [[[1, 3], [2, 4], [6, 1], [12, 2], [15, 1]], 1/6635520], [[[1, 3], [2, 4], [6, 1], [12, 2], [20, 1]], 1/4423680], [[[1, 3], [2, 4], [6, 1], [12, 2], [24, 1]], 13/5308416], [[[1, 3], [2, 4], [6, 1], [12, 2], [30, 1]], 1/6635520], [[[1, 3], [2, 4], [6, 1], [15, 1], [20, 1]], 1/460800], [[[1, 3], [2, 4], [6, 1], [15, 1], [24, 1]], 1/552960], [[[1, 3], [2, 4], [6, 1], [15, 1], [30, 1]], 1/43200], [[[1, 3], [2, 4], [6, 1], [20, 1], [24, 1]], 1/368640], [[[1, 3], [2, 4], [6, 1], [20, 1], [30, 1]], 1/460800], [[[1, 3], [2, 4], [6, 1], [24, 1], [30, 1]], 1/552960], [[[1, 3], [2, 4], [6, 2], [7, 1], [8, 2]], 65/13934592], [[[1, 3], [2, 4], [6, 2], [7, 1], [10, 2]], 659/43545600], [[[1, 3], [2, 4], [6, 2], [7, 1], [12, 2]], 209/20901888], [[[1, 3], [2, 4], [6, 2], [7, 1], [15, 1]], 11/2177280], [[[1, 3], [2, 4], [6, 2], [7, 1], [20, 1]], 11/1451520], [[[1, 3], [2, 4], [6, 2], [7, 1], [24, 1]], 11/1741824], [[[1, 3], [2, 4], [6, 2], [7, 1], [30, 1]], 11/2177280], [[[1, 3], [2, 4], [6, 2], [8, 2], [9, 1]], 47/13436928], [[[1, 3], [2, 4], [6, 2], [8, 2], [14, 1]], 5/580608], [[[1, 3], [2, 4], [6, 2], [8, 2], [18, 1]], 65/7962624], [[[1, 3], [2, 4], [6, 2], [9, 1], [10, 2]], 661/83980800], [[[1, 3], [2, 4], [6, 2], [9, 1], [12, 2]], 247/40310784], [[[1, 3], [2, 4], [6, 2], [9, 1], [15, 1]], 13/4199040], [[[1, 3], [2, 4], [6, 2], [9, 1], [20, 1]], 13/2799360], [[[1, 3], [2, 4], [6, 2], [9, 1], [24, 1]], 13/3359232], [[[1, 3], [2, 4], [6, 2], [9, 1], [30, 1]], 13/4199040], [[[1, 3], [2, 4], [6, 2], [10, 2], [14, 1]], 37/3628800], [[[1, 3], [2, 4], [6, 2], [10, 2], [18, 1]], 293/24883200], [[[1, 3], [2, 4], [6, 2], [12, 2], [14, 1]], 19/1741824], [[[1, 3], [2, 4], [6, 2], [12, 2], [18, 1]], 77/11943936], [[[1, 3], [2, 4], [6, 2], [14, 1], [15, 1]], 1/181440], [[[1, 3], [2, 4], [6, 2], [14, 1], [20, 1]], 1/120960], [[[1, 3], [2, 4], [6, 2], [14, 1], [24, 1]], 1/145152], [[[1, 3], [2, 4], [6, 2], [14, 1], [30, 1]], 1/181440], [[[1, 3], [2, 4], [6, 2], [15, 1], [18, 1]], 1/248832], [[[1, 3], [2, 4], [6, 2], [18, 1], [20, 1]], 1/165888], [[[1, 3], [2, 4], [6, 2], [18, 1], [24, 1]], 5/995328], [[[1, 3], [2, 4], [6, 2], [18, 1], [30, 1]], 1/248832], [[[1, 3], [2, 4], [6, 3], [7, 1], [9, 1]], 1/2939328], [[[1, 3], [2, 4], [6, 3], [7, 1], [14, 1]], 17/3048192], [[[1, 3], [2, 4], [6, 3], [7, 1], [18, 1]], 11/3359232], [[[1, 3], [2, 4], [6, 3], [8, 1], [10, 2]], 797/179159040], [[[1, 3], [2, 4], [6, 3], [8, 1], [12, 2]], 2095/429981696], [[[1, 3], [2, 4], [6, 3], [8, 1], [15, 1]], 97/44789760], [[[1, 3], [2, 4], [6, 3], [8, 1], [16, 1]], 1/995328], [[[1, 3], [2, 4], [6, 3], [8, 1], [20, 1]], 97/29859840], [[[1, 3], [2, 4], [6, 3], [8, 1], [24, 1]], 97/35831808], [[[1, 3], [2, 4], [6, 3], [8, 1], [30, 1]], 97/44789760], [[[1, 3], [2, 4], [6, 3], [8, 2], [10, 1]], 161/39813120], [[[1, 3], [2, 4], [6, 3], [8, 2], [12, 1]], 173/42467328], [[[1, 3], [2, 4], [6, 3], [9, 1], [14, 1]], 13/23514624], [[[1, 3], [2, 4], [6, 3], [9, 1], [18, 1]], 145/45349632], [[[1, 3], [2, 4], [6, 3], [10, 1], [12, 2]], 359/59719680], [[[1, 3], [2, 4], [6, 3], [10, 1], [15, 1]], 17/6220800], [[[1, 3], [2, 4], [6, 3], [10, 1], [20, 1]], 17/4147200], [[[1, 3], [2, 4], [6, 3], [10, 1], [24, 1]], 17/4976640], [[[1, 3], [2, 4], [6, 3], [10, 1], [30, 1]], 17/6220800], [[[1, 3], [2, 4], [6, 3], [10, 2], [12, 1]], 157/26542080], [[[1, 3], [2, 4], [6, 3], [12, 1], [15, 1]], 17/6635520], [[[1, 3], [2, 4], [6, 3], [12, 1], [20, 1]], 17/4423680], [[[1, 3], [2, 4], [6, 3], [12, 1], [24, 1]], 17/5308416], [[[1, 3], [2, 4], [6, 3], [12, 1], [30, 1]], 17/6635520], [[[1, 3], [2, 4], [6, 3], [14, 1], [18, 1]], 1/279936], [[[1, 3], [2, 4], [6, 4], [7, 1], [8, 1]], 101/418037760], [[[1, 3], [2, 4], [6, 4], [7, 1], [10, 1]], 403/870912000], [[[1, 3], [2, 4], [6, 4], [7, 1], [12, 1]], 55/62705664], [[[1, 3], [2, 4], [6, 4], [8, 1], [9, 1]], 1051/6449725440], [[[1, 3], [2, 4], [6, 4], [8, 1], [14, 1]], 1/2949120], [[[1, 3], [2, 4], [6, 4], [8, 1], [18, 1]], 4487/3224862720], [[[1, 3], [2, 4], [6, 4], [9, 1], [10, 1]], 5243/20155392000], [[[1, 3], [2, 4], [6, 4], [9, 1], [12, 1]], 65/120932352], [[[1, 3], [2, 4], [6, 4], [10, 1], [14, 1]], 101/261273600], [[[1, 3], [2, 4], [6, 4], [10, 1], [18, 1]], 2363/1343692800], [[[1, 3], [2, 4], [6, 4], [12, 1], [14, 1]], 5/5225472], [[[1, 3], [2, 4], [6, 4], [12, 1], [18, 1]], 71/35831808], [[[1, 3], [2, 4], [6, 5], [8, 1], [10, 1]], 143/895795200], [[[1, 3], [2, 4], [6, 5], [8, 1], [12, 1]], 1577/4299816960], [[[1, 3], [2, 4], [6, 5], [10, 1], [12, 1]], 833/1791590400], [[[1, 3], [2, 4], [7, 1], [8, 1], [10, 2]], 1/1612800], [[[1, 3], [2, 4], [7, 1], [8, 1], [12, 2]], 1/774144], [[[1, 3], [2, 4], [7, 1], [8, 1], [15, 1]], 1/80640], [[[1, 3], [2, 4], [7, 1], [8, 1], [16, 1]], 1/14336], [[[1, 3], [2, 4], [7, 1], [8, 1], [20, 1]], 1/53760], [[[1, 3], [2, 4], [7, 1], [8, 1], [24, 1]], 1/64512], [[[1, 3], [2, 4], [7, 1], [8, 1], [30, 1]], 1/80640], [[[1, 3], [2, 4], [7, 1], [8, 2], [10, 1]], 1/358400], [[[1, 3], [2, 4], [7, 1], [9, 1], [14, 1]], 13/42336], [[[1, 3], [2, 4], [7, 1], [9, 1], [18, 1]], 5/46656], [[[1, 3], [2, 4], [7, 1], [10, 1], [12, 2]], 1/537600], [[[1, 3], [2, 4], [7, 1], [10, 1], [15, 1]], 1/56000], [[[1, 3], [2, 4], [7, 1], [10, 1], [20, 1]], 3/112000], [[[1, 3], [2, 4], [7, 1], [10, 1], [24, 1]], 1/44800], [[[1, 3], [2, 4], [7, 1], [10, 1], [30, 1]], 1/56000], [[[1, 3], [2, 4], [7, 1], [14, 1], [18, 1]], 17/42336], [[[1, 3], [2, 4], [8, 1], [9, 1], [10, 2]], 11/24883200], [[[1, 3], [2, 4], [8, 1], [9, 1], [12, 2]], 11/11943936], [[[1, 3], [2, 4], [8, 1], [9, 1], [15, 1]], 11/1244160], [[[1, 3], [2, 4], [8, 1], [9, 1], [16, 1]], 1/18432], [[[1, 3], [2, 4], [8, 1], [9, 1], [20, 1]], 11/829440], [[[1, 3], [2, 4], [8, 1], [9, 1], [24, 1]], 11/995328], [[[1, 3], [2, 4], [8, 1], [9, 1], [30, 1]], 11/1244160], [[[1, 3], [2, 4], [8, 1], [10, 2], [14, 1]], 1/921600], [[[1, 3], [2, 4], [8, 1], [10, 2], [18, 1]], 7/12441600], [[[1, 3], [2, 4], [8, 1], [12, 2], [14, 1]], 1/442368], [[[1, 3], [2, 4], [8, 1], [12, 2], [18, 1]], 7/5971968], [[[1, 3], [2, 4], [8, 1], [14, 1], [15, 1]], 1/46080], [[[1, 3], [2, 4], [8, 1], [14, 1], [16, 1]], 1/7168], [[[1, 3], [2, 4], [8, 1], [14, 1], [20, 1]], 1/30720], [[[1, 3], [2, 4], [8, 1], [14, 1], [24, 1]], 1/36864], [[[1, 3], [2, 4], [8, 1], [14, 1], [30, 1]], 1/46080], [[[1, 3], [2, 4], [8, 1], [15, 1], [18, 1]], 7/622080], [[[1, 3], [2, 4], [8, 1], [16, 1], [18, 1]], 1/13824], [[[1, 3], [2, 4], [8, 1], [18, 1], [20, 1]], 7/414720], [[[1, 3], [2, 4], [8, 1], [18, 1], [24, 1]], 7/497664], [[[1, 3], [2, 4], [8, 1], [18, 1], [30, 1]], 7/622080], [[[1, 3], [2, 4], [8, 2], [9, 1], [10, 1]], 43/24883200], [[[1, 3], [2, 4], [8, 2], [10, 1], [14, 1]], 1/322560], [[[1, 3], [2, 4], [8, 2], [10, 1], [18, 1]], 1/552960], [[[1, 3], [2, 4], [9, 1], [10, 1], [12, 2]], 43/37324800], [[[1, 3], [2, 4], [9, 1], [10, 1], [15, 1]], 43/3888000], [[[1, 3], [2, 4], [9, 1], [10, 1], [20, 1]], 43/2592000], [[[1, 3], [2, 4], [9, 1], [10, 1], [24, 1]], 43/3110400], [[[1, 3], [2, 4], [9, 1], [10, 1], [30, 1]], 43/3888000], [[[1, 3], [2, 4], [9, 1], [14, 1], [18, 1]], 67/326592], [[[1, 3], [2, 4], [10, 1], [12, 2], [14, 1]], 1/483840], [[[1, 3], [2, 4], [10, 1], [12, 2], [18, 1]], 1/829440], [[[1, 3], [2, 4], [10, 1], [14, 1], [15, 1]], 1/50400], [[[1, 3], [2, 4], [10, 1], [14, 1], [20, 1]], 1/33600], [[[1, 3], [2, 4], [10, 1], [14, 1], [24, 1]], 1/40320], [[[1, 3], [2, 4], [10, 1], [14, 1], [30, 1]], 1/50400], [[[1, 3], [2, 4], [10, 1], [15, 1], [18, 1]], 1/86400], [[[1, 3], [2, 4], [10, 1], [18, 1], [20, 1]], 1/57600], [[[1, 3], [2, 4], [10, 1], [18, 1], [24, 1]], 1/69120], [[[1, 3], [2, 4], [10, 1], [18, 1], [30, 1]], 1/86400], [[[1, 3], [2, 6], [3, 1], [4, 1], [5, 3]], 17/414720000], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 6]], 12307/580475289600], [[[1, 3], [2, 6], [3, 1], [4, 1], [7, 2]], 1/1806336], [[[1, 3], [2, 6], [3, 1], [4, 1], [8, 3]], 6701/1698693120], [[[1, 3], [2, 6], [3, 1], [4, 1], [9, 2]], 31/44789760], [[[1, 3], [2, 6], [3, 1], [4, 1], [10, 3]], 193/1658880000], [[[1, 3], [2, 6], [3, 1], [4, 1], [12, 3]], 107/1433272320], [[[1, 3], [2, 6], [3, 1], [4, 1], [14, 2]], 1/75264], [[[1, 3], [2, 6], [3, 1], [4, 1], [18, 2]], 5/2239488], [[[1, 3], [2, 6], [3, 1], [4, 1], [28, 1]], 1/774144], [[[1, 3], [2, 6], [3, 1], [4, 1], [36, 1]], 1/995328], [[[1, 3], [2, 6], [3, 1], [4, 2], [6, 5]], 7495403/111451255603200], [[[1, 3], [2, 6], [3, 1], [4, 3], [5, 2]], 28651/63700992000], [[[1, 3], [2, 6], [3, 1], [4, 3], [6, 4]], 3397291/16511297126400], [[[1, 3], [2, 6], [3, 1], [4, 3], [8, 2]], 243601/20384317440], [[[1, 3], [2, 6], [3, 1], [4, 3], [10, 2]], 19723/63700992000], [[[1, 3], [2, 6], [3, 1], [4, 3], [12, 2]], 17999/6115295232], [[[1, 3], [2, 6], [3, 1], [4, 3], [15, 1]], 1291/3185049600], [[[1, 3], [2, 6], [3, 1], [4, 3], [16, 1]], 73/10616832], [[[1, 3], [2, 6], [3, 1], [4, 3], [20, 1]], 13451/2123366400], [[[1, 3], [2, 6], [3, 1], [4, 3], [24, 1]], 1291/2548039680], [[[1, 3], [2, 6], [3, 1], [4, 3], [30, 1]], 1291/3185049600], [[[1, 3], [2, 6], [3, 1], [4, 4], [6, 3]], 634891/1651129712640], [[[1, 3], [2, 6], [3, 1], [4, 4], [7, 1]], 751/17836277760], [[[1, 3], [2, 6], [3, 1], [4, 4], [9, 1]], 33307/305764761600], [[[1, 3], [2, 6], [3, 1], [4, 4], [14, 1]], 3097/8918138880], [[[1, 3], [2, 6], [3, 1], [4, 4], [18, 1]], 481/4299816960], [[[1, 3], [2, 6], [3, 1], [4, 5], [5, 1]], 1217/31850496000], [[[1, 3], [2, 6], [3, 1], [4, 5], [6, 2]], 9913/8493465600], [[[1, 3], [2, 6], [3, 1], [4, 5], [8, 1]], 33379/45298483200], [[[1, 3], [2, 6], [3, 1], [4, 5], [10, 1]], 4063/127401984000], [[[1, 3], [2, 6], [3, 1], [4, 5], [12, 1]], 46559/76441190400], [[[1, 3], [2, 6], [3, 1], [4, 6], [6, 1]], 2017793/33022594252800], [[[1, 3], [2, 6], [3, 1], [5, 1], [6, 5]], 128563/5804752896000], [[[1, 3], [2, 6], [3, 1], [5, 2], [6, 3]], 823/7166361600], [[[1, 3], [2, 6], [3, 1], [5, 2], [7, 1]], 1/232243200], [[[1, 3], [2, 6], [3, 1], [5, 2], [9, 1]], 17/3981312000], [[[1, 3], [2, 6], [3, 1], [5, 2], [14, 1]], 439/116121600], [[[1, 3], [2, 6], [3, 1], [5, 2], [18, 1]], 11/11197440], [[[1, 3], [2, 6], [3, 1], [5, 3], [6, 1]], 1963/22394880000], [[[1, 3], [2, 6], [3, 1], [6, 1], [7, 2]], 1/451584], [[[1, 3], [2, 6], [3, 1], [6, 1], [8, 3]], 161/70778880], [[[1, 3], [2, 6], [3, 1], [6, 1], [9, 2]], 1163/725594112], [[[1, 3], [2, 6], [3, 1], [6, 1], [10, 3]], 91/248832000], [[[1, 3], [2, 6], [3, 1], [6, 1], [12, 3]], 335/5159780352], [[[1, 3], [2, 6], [3, 1], [6, 1], [14, 2]], 1/28224], [[[1, 3], [2, 6], [3, 1], [6, 1], [18, 2]], 17/2519424], [[[1, 3], [2, 6], [3, 1], [6, 3], [8, 2]], 2261/764411904], [[[1, 3], [2, 6], [3, 1], [6, 3], [10, 2]], 12587/1433272320], [[[1, 3], [2, 6], [3, 1], [6, 3], [12, 2]], 60259/10319560704], [[[1, 3], [2, 6], [3, 1], [6, 3], [15, 1]], 727/358318080], [[[1, 3], [2, 6], [3, 1], [6, 3], [20, 1]], 727/238878720], [[[1, 3], [2, 6], [3, 1], [6, 3], [24, 1]], 2071/286654464], [[[1, 3], [2, 6], [3, 1], [6, 3], [30, 1]], 727/358318080], [[[1, 3], [2, 6], [3, 1], [6, 4], [7, 1]], 20641/60197437440], [[[1, 3], [2, 6], [3, 1], [6, 4], [9, 1]], 1127731/3095868211200], [[[1, 3], [2, 6], [3, 1], [6, 4], [14, 1]], 31207/30098718720], [[[1, 3], [2, 6], [3, 1], [6, 4], [18, 1]], 45077/29023764480], [[[1, 3], [2, 6], [3, 1], [6, 5], [8, 1]], 104269/515978035200], [[[1, 3], [2, 6], [3, 1], [6, 5], [10, 1]], 10681/21499084800], [[[1, 3], [2, 6], [3, 1], [6, 5], [12, 1]], 307153/557256278016], [[[1, 3], [2, 6], [3, 1], [7, 1], [8, 2]], 73/74317824], [[[1, 3], [2, 6], [3, 1], [7, 1], [10, 2]], 1/232243200], [[[1, 3], [2, 6], [3, 1], [7, 1], [12, 2]], 1/111476736], [[[1, 3], [2, 6], [3, 1], [7, 1], [15, 1]], 1/11612160], [[[1, 3], [2, 6], [3, 1], [7, 1], [20, 1]], 1/7741440], [[[1, 3], [2, 6], [3, 1], [7, 1], [24, 1]], 1/9289728], [[[1, 3], [2, 6], [3, 1], [7, 1], [30, 1]], 1/11612160], [[[1, 3], [2, 6], [3, 1], [8, 2], [9, 1]], 499/424673280], [[[1, 3], [2, 6], [3, 1], [8, 2], [14, 1]], 295/37158912], [[[1, 3], [2, 6], [3, 1], [8, 2], [18, 1]], 23/8957952], [[[1, 3], [2, 6], [3, 1], [9, 1], [10, 2]], 5521/3981312000], [[[1, 3], [2, 6], [3, 1], [9, 1], [12, 2]], 17/1911029760], [[[1, 3], [2, 6], [3, 1], [9, 1], [15, 1]], 17/199065600], [[[1, 3], [2, 6], [3, 1], [9, 1], [20, 1]], 17/132710400], [[[1, 3], [2, 6], [3, 1], [9, 1], [24, 1]], 17/159252480], [[[1, 3], [2, 6], [3, 1], [9, 1], [30, 1]], 17/199065600], [[[1, 3], [2, 6], [3, 1], [10, 2], [14, 1]], 1/16588800], [[[1, 3], [2, 6], [3, 1], [10, 2], [18, 1]], 1/55987200], [[[1, 3], [2, 6], [3, 1], [12, 2], [14, 1]], 1/7962624], [[[1, 3], [2, 6], [3, 1], [12, 2], [18, 1]], 1/26873856], [[[1, 3], [2, 6], [3, 1], [14, 1], [15, 1]], 1/829440], [[[1, 3], [2, 6], [3, 1], [14, 1], [20, 1]], 1/552960], [[[1, 3], [2, 6], [3, 1], [14, 1], [24, 1]], 1/663552], [[[1, 3], [2, 6], [3, 1], [14, 1], [30, 1]], 1/829440], [[[1, 3], [2, 6], [3, 1], [15, 1], [18, 1]], 1/2799360], [[[1, 3], [2, 6], [3, 1], [18, 1], [20, 1]], 1/1866240], [[[1, 3], [2, 6], [3, 1], [18, 1], [24, 1]], 1/2239488], [[[1, 3], [2, 6], [3, 1], [18, 1], [30, 1]], 1/2799360], [[[1, 3], [2, 6], [3, 2], [4, 1], [6, 5]], 995903/4127824281600], [[[1, 3], [2, 6], [3, 2], [4, 2], [5, 2]], 1669/3822059520], [[[1, 3], [2, 6], [3, 2], [4, 2], [6, 4]], 13813213/4953389137920], [[[1, 3], [2, 6], [3, 2], [4, 2], [8, 2]], 22529/6115295232], [[[1, 3], [2, 6], [3, 2], [4, 2], [10, 2]], 353/19110297600], [[[1, 3], [2, 6], [3, 2], [4, 2], [12, 2]], 45577/45864714240], [[[1, 3], [2, 6], [3, 2], [4, 2], [15, 1]], 353/955514880], [[[1, 3], [2, 6], [3, 2], [4, 2], [20, 1]], 353/637009920], [[[1, 3], [2, 6], [3, 2], [4, 2], [24, 1]], 353/764411904], [[[1, 3], [2, 6], [3, 2], [4, 2], [30, 1]], 353/955514880], [[[1, 3], [2, 6], [3, 2], [4, 3], [6, 3]], 10503677/1651129712640], [[[1, 3], [2, 6], [3, 2], [4, 3], [9, 1]], 1291/5733089280], [[[1, 3], [2, 6], [3, 2], [4, 3], [14, 1]], 5/37158912], [[[1, 3], [2, 6], [3, 2], [4, 3], [18, 1]], 5/143327232], [[[1, 3], [2, 6], [3, 2], [4, 4], [5, 1]], 751/38220595200], [[[1, 3], [2, 6], [3, 2], [4, 4], [6, 2]], 314917921/264180754022400], [[[1, 3], [2, 6], [3, 2], [4, 4], [8, 1]], 827/15288238080], [[[1, 3], [2, 6], [3, 2], [4, 4], [10, 1]], 7/19110297600], [[[1, 3], [2, 6], [3, 2], [4, 4], [12, 1]], 2829323/14676708556800], [[[1, 3], [2, 6], [3, 2], [4, 5], [6, 1]], 136823/1223059046400], [[[1, 3], [2, 6], [3, 2], [5, 1], [6, 4]], 2549/14332723200], [[[1, 3], [2, 6], [3, 2], [5, 1], [8, 2]], 73/159252480], [[[1, 3], [2, 6], [3, 2], [5, 1], [10, 2]], 1/497664000], [[[1, 3], [2, 6], [3, 2], [5, 1], [12, 2]], 1/238878720], [[[1, 3], [2, 6], [3, 2], [5, 1], [15, 1]], 1/24883200], [[[1, 3], [2, 6], [3, 2], [5, 1], [20, 1]], 1/16588800], [[[1, 3], [2, 6], [3, 2], [5, 1], [24, 1]], 1/19906560], [[[1, 3], [2, 6], [3, 2], [5, 1], [30, 1]], 1/24883200], [[[1, 3], [2, 6], [3, 2], [5, 2], [6, 2]], 1500931/3439853568000], [[[1, 3], [2, 6], [3, 2], [5, 2], [8, 1]], 19/99532800], [[[1, 3], [2, 6], [3, 2], [5, 2], [10, 1]], 971/1244160000], [[[1, 3], [2, 6], [3, 2], [5, 2], [12, 1]], 19/7077888000], [[[1, 3], [2, 6], [3, 2], [6, 2], [8, 2]], 6434011/1100753141760], [[[1, 3], [2, 6], [3, 2], [6, 2], [10, 2]], 7953283/3439853568000], [[[1, 3], [2, 6], [3, 2], [6, 2], [12, 2]], 12095173/1651129712640], [[[1, 3], [2, 6], [3, 2], [6, 2], [15, 1]], 671491/171992678400], [[[1, 3], [2, 6], [3, 2], [6, 2], [20, 1]], 671491/114661785600], [[[1, 3], [2, 6], [3, 2], [6, 2], [24, 1]], 2337499/137594142720], [[[1, 3], [2, 6], [3, 2], [6, 2], [30, 1]], 671491/171992678400], [[[1, 3], [2, 6], [3, 2], [6, 3], [7, 1]], 24583/30098718720], [[[1, 3], [2, 6], [3, 2], [6, 3], [9, 1]], 39947/23219011584], [[[1, 3], [2, 6], [3, 2], [6, 3], [14, 1]], 26539/7524679680], [[[1, 3], [2, 6], [3, 2], [6, 3], [18, 1]], 3218057/928760463360], [[[1, 3], [2, 6], [3, 2], [6, 4], [8, 1]], 11041/17199267840], [[[1, 3], [2, 6], [3, 2], [6, 4], [10, 1]], 110693/64497254400], [[[1, 3], [2, 6], [3, 2], [6, 4], [12, 1]], 78526043/49533891379200], [[[1, 3], [2, 6], [3, 2], [7, 1], [9, 1]], 1/20901888], [[[1, 3], [2, 6], [3, 2], [7, 1], [14, 1]], 1/451584], [[[1, 3], [2, 6], [3, 2], [7, 1], [18, 1]], 1/1741824], [[[1, 3], [2, 6], [3, 2], [8, 1], [10, 2]], 1/99532800], [[[1, 3], [2, 6], [3, 2], [8, 1], [12, 2]], 29/95551488], [[[1, 3], [2, 6], [3, 2], [8, 1], [15, 1]], 1/4976640], [[[1, 3], [2, 6], [3, 2], [8, 1], [20, 1]], 1/3317760], [[[1, 3], [2, 6], [3, 2], [8, 1], [24, 1]], 1/3981312], [[[1, 3], [2, 6], [3, 2], [8, 1], [30, 1]], 1/4976640], [[[1, 3], [2, 6], [3, 2], [8, 2], [10, 1]], 431/398131200], [[[1, 3], [2, 6], [3, 2], [8, 2], [12, 1]], 4417/6794772480], [[[1, 3], [2, 6], [3, 2], [9, 1], [14, 1]], 25/10450944], [[[1, 3], [2, 6], [3, 2], [9, 1], [18, 1]], 13/20155392], [[[1, 3], [2, 6], [3, 2], [10, 1], [12, 2]], 133/119439360], [[[1, 3], [2, 6], [3, 2], [10, 1], [15, 1]], 7/12441600], [[[1, 3], [2, 6], [3, 2], [10, 1], [20, 1]], 7/8294400], [[[1, 3], [2, 6], [3, 2], [10, 1], [24, 1]], 7/9953280], [[[1, 3], [2, 6], [3, 2], [10, 1], [30, 1]], 7/12441600], [[[1, 3], [2, 6], [3, 2], [10, 2], [12, 1]], 5561/21233664000], [[[1, 3], [2, 6], [3, 2], [12, 1], [15, 1]], 19/353894400], [[[1, 3], [2, 6], [3, 2], [12, 1], [20, 1]], 19/235929600], [[[1, 3], [2, 6], [3, 2], [12, 1], [24, 1]], 19/283115520], [[[1, 3], [2, 6], [3, 2], [12, 1], [30, 1]], 19/353894400], [[[1, 3], [2, 6], [3, 2], [14, 1], [18, 1]], 17/5225472], [[[1, 3], [2, 6], [3, 3], [4, 1], [5, 2]], 1129/8957952000], [[[1, 3], [2, 6], [3, 3], [4, 1], [6, 4]], 1659839/2321901158400], [[[1, 3], [2, 6], [3, 3], [4, 1], [8, 2]], 797/1433272320], [[[1, 3], [2, 6], [3, 3], [4, 1], [10, 2]], 457/8957952000], [[[1, 3], [2, 6], [3, 3], [4, 1], [12, 2]], 7/26873856], [[[1, 3], [2, 6], [3, 3], [4, 1], [15, 1]], 49/447897600], [[[1, 3], [2, 6], [3, 3], [4, 1], [20, 1]], 49/298598400], [[[1, 3], [2, 6], [3, 3], [4, 1], [24, 1]], 49/358318080], [[[1, 3], [2, 6], [3, 3], [4, 1], [30, 1]], 49/447897600], [[[1, 3], [2, 6], [3, 3], [4, 2], [6, 3]], 78524651/11145125560320], [[[1, 3], [2, 6], [3, 3], [4, 2], [7, 1]], 43/8026324992], [[[1, 3], [2, 6], [3, 3], [4, 2], [9, 1]], 2159/10319560704], [[[1, 3], [2, 6], [3, 3], [4, 2], [14, 1]], 575/8026324992], [[[1, 3], [2, 6], [3, 3], [4, 2], [18, 1]], 655/30958682112], [[[1, 3], [2, 6], [3, 3], [4, 3], [5, 1]], 1/286654464], [[[1, 3], [2, 6], [3, 3], [4, 3], [6, 2]], 11595097/4953389137920], [[[1, 3], [2, 6], [3, 3], [4, 3], [8, 1]], 481/18345885696], [[[1, 3], [2, 6], [3, 3], [4, 3], [10, 1]], 7/1194393600], [[[1, 3], [2, 6], [3, 3], [4, 3], [12, 1]], 25763/275188285440], [[[1, 3], [2, 6], [3, 3], [4, 4], [6, 1]], 838001/44580502241280], [[[1, 3], [2, 6], [3, 3], [5, 1], [6, 3]], 9281/21499084800], [[[1, 3], [2, 6], [3, 3], [5, 1], [9, 1]], 1/44789760], [[[1, 3], [2, 6], [3, 3], [5, 1], [14, 1]], 13/11612160], [[[1, 3], [2, 6], [3, 3], [5, 1], [18, 1]], 13/44789760], [[[1, 3], [2, 6], [3, 3], [5, 2], [6, 1]], 363071/580475289600], [[[1, 3], [2, 6], [3, 3], [6, 1], [8, 2]], 213383/185752092672], [[[1, 3], [2, 6], [3, 3], [6, 1], [10, 2]], 75359/580475289600], [[[1, 3], [2, 6], [3, 3], [6, 1], [12, 2]], 311177/278628139008], [[[1, 3], [2, 6], [3, 3], [6, 1], [15, 1]], 13151/29023764480], [[[1, 3], [2, 6], [3, 3], [6, 1], [20, 1]], 13151/19349176320], [[[1, 3], [2, 6], [3, 3], [6, 1], [24, 1]], 13151/23219011584], [[[1, 3], [2, 6], [3, 3], [6, 1], [30, 1]], 13151/29023764480], [[[1, 3], [2, 6], [3, 3], [6, 2], [7, 1]], 23755/18059231232], [[[1, 3], [2, 6], [3, 3], [6, 2], [9, 1]], 2894273/928760463360], [[[1, 3], [2, 6], [3, 3], [6, 2], [14, 1]], 39013/9029615616], [[[1, 3], [2, 6], [3, 3], [6, 2], [18, 1]], 103343/52242776064], [[[1, 3], [2, 6], [3, 3], [6, 3], [8, 1]], 607069/464380231680], [[[1, 3], [2, 6], [3, 3], [6, 3], [10, 1]], 735583/290237644800], [[[1, 3], [2, 6], [3, 3], [6, 3], [12, 1]], 556781/278628139008], [[[1, 3], [2, 6], [3, 3], [7, 1], [8, 1]], 1/55738368], [[[1, 3], [2, 6], [3, 3], [7, 1], [10, 1]], 37/522547200], [[[1, 3], [2, 6], [3, 3], [7, 1], [12, 1]], 1/111476736], [[[1, 3], [2, 6], [3, 3], [8, 1], [9, 1]], 1/7962624], [[[1, 3], [2, 6], [3, 3], [8, 1], [14, 1]], 241/167215104], [[[1, 3], [2, 6], [3, 3], [8, 1], [18, 1]], 247/644972544], [[[1, 3], [2, 6], [3, 3], [9, 1], [10, 1]], 49/134369280], [[[1, 3], [2, 6], [3, 3], [9, 1], [12, 1]], 211/5733089280], [[[1, 3], [2, 6], [3, 3], [10, 1], [14, 1]], 1/4354560], [[[1, 3], [2, 6], [3, 3], [10, 1], [18, 1]], 47/503884800], [[[1, 3], [2, 6], [3, 3], [12, 1], [14, 1]], 79/55738368], [[[1, 3], [2, 6], [3, 3], [12, 1], [18, 1]], 5/13436928], [[[1, 3], [2, 6], [3, 4], [4, 1], [6, 3]], 148497149/111451255603200], [[[1, 3], [2, 6], [3, 4], [4, 1], [7, 1]], 811/66886041600], [[[1, 3], [2, 6], [3, 4], [4, 1], [9, 1]], 283/4031078400], [[[1, 3], [2, 6], [3, 4], [4, 1], [14, 1]], 5759/57330892800], [[[1, 3], [2, 6], [3, 4], [4, 1], [18, 1]], 50039/1547934105600], [[[1, 3], [2, 6], [3, 4], [4, 2], [5, 1]], 75761/6879707136000], [[[1, 3], [2, 6], [3, 4], [4, 2], [6, 2]], 1093577/4953389137920], [[[1, 3], [2, 6], [3, 4], [4, 2], [8, 1]], 537763/11007531417600], [[[1, 3], [2, 6], [3, 4], [4, 2], [10, 1]], 4159/458647142400], [[[1, 3], [2, 6], [3, 4], [4, 2], [12, 1]], 77039/1375941427200], [[[1, 3], [2, 6], [3, 4], [4, 3], [6, 1]], 206773/16511297126400], [[[1, 3], [2, 6], [3, 4], [5, 1], [6, 2]], 7813/12093235200], [[[1, 3], [2, 6], [3, 4], [5, 1], [8, 1]], 1/117964800], [[[1, 3], [2, 6], [3, 4], [5, 1], [10, 1]], 599/17915904000], [[[1, 3], [2, 6], [3, 4], [5, 1], [12, 1]], 1/238878720], [[[1, 3], [2, 6], [3, 4], [6, 1], [7, 1]], 324343/2708884684800], [[[1, 3], [2, 6], [3, 4], [6, 1], [9, 1]], 720631/2089711042560], [[[1, 3], [2, 6], [3, 4], [6, 1], [14, 1]], 7633/10749542400], [[[1, 3], [2, 6], [3, 4], [6, 1], [18, 1]], 763723/3095868211200], [[[1, 3], [2, 6], [3, 4], [6, 2], [8, 1]], 156149/193491763200], [[[1, 3], [2, 6], [3, 4], [6, 2], [10, 1]], 1133/2687385600], [[[1, 3], [2, 6], [3, 4], [6, 2], [12, 1]], 64486907/49533891379200], [[[1, 3], [2, 6], [3, 4], [8, 1], [10, 1]], 461/11943936000], [[[1, 3], [2, 6], [3, 4], [8, 1], [12, 1]], 1/31850496], [[[1, 3], [2, 6], [3, 4], [10, 1], [12, 1]], 7/71663616], [[[1, 3], [2, 6], [3, 5], [4, 1], [5, 1]], 617/107495424000], [[[1, 3], [2, 6], [3, 5], [4, 1], [6, 2]], 35923/386983526400], [[[1, 3], [2, 6], [3, 5], [4, 1], [8, 1]], 5767/458647142400], [[[1, 3], [2, 6], [3, 5], [4, 1], [10, 1]], 193/429981696000], [[[1, 3], [2, 6], [3, 5], [4, 1], [12, 1]], 4769/257989017600], [[[1, 3], [2, 6], [3, 5], [4, 2], [6, 1]], 1010603/111451255603200], [[[1, 3], [2, 6], [3, 5], [5, 1], [6, 1]], 342163/5804752896000], [[[1, 3], [2, 6], [3, 5], [6, 1], [8, 1]], 39469/515978035200], [[[1, 3], [2, 6], [3, 5], [6, 1], [10, 1]], 521/21499084800], [[[1, 3], [2, 6], [3, 5], [6, 1], [12, 1]], 67841/557256278016], [[[1, 3], [2, 6], [3, 6], [4, 1], [6, 1]], 58519/12383472844800], [[[1, 3], [2, 6], [4, 1], [5, 1], [6, 5]], 2431/107495424000], [[[1, 3], [2, 6], [4, 1], [5, 2], [6, 3]], 30199/429981696000], [[[1, 3], [2, 6], [4, 1], [5, 2], [7, 1]], 11/258048000], [[[1, 3], [2, 6], [4, 1], [5, 2], [9, 1]], 1/31104000], [[[1, 3], [2, 6], [4, 1], [5, 2], [14, 1]], 1279/221184000], [[[1, 3], [2, 6], [4, 1], [5, 2], [18, 1]], 9079/5971968000], [[[1, 3], [2, 6], [4, 1], [5, 3], [6, 1]], 31/414720000], [[[1, 3], [2, 6], [4, 1], [6, 1], [7, 2]], 1/602112], [[[1, 3], [2, 6], [4, 1], [6, 1], [8, 3]], 69877/15288238080], [[[1, 3], [2, 6], [4, 1], [6, 1], [9, 2]], 1/995328], [[[1, 3], [2, 6], [4, 1], [6, 1], [10, 3]], 4337/663552000], [[[1, 3], [2, 6], [4, 1], [6, 1], [12, 3]], 3221/11466178560], [[[1, 3], [2, 6], [4, 1], [6, 1], [14, 2]], 1/64512], [[[1, 3], [2, 6], [4, 1], [6, 1], [18, 2]], 733/179159040], [[[1, 3], [2, 6], [4, 1], [6, 1], [28, 1]], 17/1935360], [[[1, 3], [2, 6], [4, 1], [6, 1], [36, 1]], 17/2488320], [[[1, 3], [2, 6], [4, 1], [6, 3], [8, 2]], 496939/137594142720], [[[1, 3], [2, 6], [4, 1], [6, 3], [10, 2]], 2266807/429981696000], [[[1, 3], [2, 6], [4, 1], [6, 3], [12, 2]], 854833/206391214080], [[[1, 3], [2, 6], [4, 1], [6, 3], [15, 1]], 21559/21499084800], [[[1, 3], [2, 6], [4, 1], [6, 3], [16, 1]], 1/11943936], [[[1, 3], [2, 6], [4, 1], [6, 3], [20, 1]], 21559/14332723200], [[[1, 3], [2, 6], [4, 1], [6, 3], [24, 1]], 21559/17199267840], [[[1, 3], [2, 6], [4, 1], [6, 3], [30, 1]], 21559/21499084800], [[[1, 3], [2, 6], [4, 1], [6, 4], [7, 1]], 5611/66886041600], [[[1, 3], [2, 6], [4, 1], [6, 4], [9, 1]], 119/2015539200], [[[1, 3], [2, 6], [4, 1], [6, 4], [14, 1]], 83513/401316249600], [[[1, 3], [2, 6], [4, 1], [6, 4], [18, 1]], 111511/171992678400], [[[1, 3], [2, 6], [4, 1], [6, 5], [8, 1]], 1545901/12383472844800], [[[1, 3], [2, 6], [4, 1], [6, 5], [10, 1]], 103349/859963392000], [[[1, 3], [2, 6], [4, 1], [6, 5], [12, 1]], 433901/2063912140800], [[[1, 3], [2, 6], [4, 1], [7, 1], [8, 2]], 551/82575360], [[[1, 3], [2, 6], [4, 1], [7, 1], [10, 2]], 1163/258048000], [[[1, 3], [2, 6], [4, 1], [7, 1], [12, 2]], 11/123863040], [[[1, 3], [2, 6], [4, 1], [7, 1], [15, 1]], 11/12902400], [[[1, 3], [2, 6], [4, 1], [7, 1], [20, 1]], 11/8601600], [[[1, 3], [2, 6], [4, 1], [7, 1], [24, 1]], 11/10321920], [[[1, 3], [2, 6], [4, 1], [7, 1], [30, 1]], 11/12902400], [[[1, 3], [2, 6], [4, 1], [8, 2], [9, 1]], 199/39813120], [[[1, 3], [2, 6], [4, 1], [8, 2], [14, 1]], 2899/70778880], [[[1, 3], [2, 6], [4, 1], [8, 2], [18, 1]], 26539/1911029760], [[[1, 3], [2, 6], [4, 1], [9, 1], [10, 2]], 103/31104000], [[[1, 3], [2, 6], [4, 1], [9, 1], [12, 2]], 1/14929920], [[[1, 3], [2, 6], [4, 1], [9, 1], [15, 1]], 1/1555200], [[[1, 3], [2, 6], [4, 1], [9, 1], [20, 1]], 1/1036800], [[[1, 3], [2, 6], [4, 1], [9, 1], [24, 1]], 1/1244160], [[[1, 3], [2, 6], [4, 1], [9, 1], [30, 1]], 1/1555200], [[[1, 3], [2, 6], [4, 1], [10, 2], [14, 1]], 3007/221184000], [[[1, 3], [2, 6], [4, 1], [10, 2], [18, 1]], 33847/5971968000], [[[1, 3], [2, 6], [4, 1], [12, 2], [14, 1]], 313/743178240], [[[1, 3], [2, 6], [4, 1], [12, 2], [18, 1]], 439/2866544640], [[[1, 3], [2, 6], [4, 1], [14, 1], [15, 1]], 313/77414400], [[[1, 3], [2, 6], [4, 1], [14, 1], [16, 1]], 1/43008], [[[1, 3], [2, 6], [4, 1], [14, 1], [20, 1]], 313/51609600], [[[1, 3], [2, 6], [4, 1], [14, 1], [24, 1]], 313/61931520], [[[1, 3], [2, 6], [4, 1], [14, 1], [30, 1]], 313/77414400], [[[1, 3], [2, 6], [4, 1], [15, 1], [18, 1]], 439/298598400], [[[1, 3], [2, 6], [4, 1], [16, 1], [18, 1]], 1/165888], [[[1, 3], [2, 6], [4, 1], [18, 1], [20, 1]], 439/199065600], [[[1, 3], [2, 6], [4, 1], [18, 1], [24, 1]], 439/238878720], [[[1, 3], [2, 6], [4, 1], [18, 1], [30, 1]], 439/298598400], [[[1, 3], [2, 6], [4, 2], [5, 1], [6, 4]], 391361/6879707136000], [[[1, 3], [2, 6], [4, 2], [5, 1], [8, 2]], 72781/8493465600], [[[1, 3], [2, 6], [4, 2], [5, 1], [10, 2]], 837313/26542080000], [[[1, 3], [2, 6], [4, 2], [5, 1], [12, 2]], 961/12740198400], [[[1, 3], [2, 6], [4, 2], [5, 1], [15, 1]], 961/1327104000], [[[1, 3], [2, 6], [4, 2], [5, 1], [20, 1]], 961/884736000], [[[1, 3], [2, 6], [4, 2], [5, 1], [24, 1]], 961/1061683200], [[[1, 3], [2, 6], [4, 2], [5, 1], [30, 1]], 961/1327104000], [[[1, 3], [2, 6], [4, 2], [5, 2], [6, 2]], 9661/19110297600], [[[1, 3], [2, 6], [4, 2], [5, 2], [8, 1]], 75683/42467328000], [[[1, 3], [2, 6], [4, 2], [5, 2], [10, 1]], 13627/8847360000], [[[1, 3], [2, 6], [4, 2], [5, 2], [12, 1]], 767/15925248000], [[[1, 3], [2, 6], [4, 2], [6, 2], [8, 2]], 111613/6115295232], [[[1, 3], [2, 6], [4, 2], [6, 2], [10, 2]], 140341/19110297600], [[[1, 3], [2, 6], [4, 2], [6, 2], [12, 2]], 86713/9172942848], [[[1, 3], [2, 6], [4, 2], [6, 2], [15, 1]], 1597/955514880], [[[1, 3], [2, 6], [4, 2], [6, 2], [16, 1]], 7/663552], [[[1, 3], [2, 6], [4, 2], [6, 2], [20, 1]], 6973/637009920], [[[1, 3], [2, 6], [4, 2], [6, 2], [24, 1]], 1597/764411904], [[[1, 3], [2, 6], [4, 2], [6, 2], [30, 1]], 1597/955514880], [[[1, 3], [2, 6], [4, 2], [6, 3], [7, 1]], 2341/8026324992], [[[1, 3], [2, 6], [4, 2], [6, 3], [9, 1]], 5647/30958682112], [[[1, 3], [2, 6], [4, 2], [6, 3], [14, 1]], 17/42467328], [[[1, 3], [2, 6], [4, 2], [6, 3], [18, 1]], 11755/10319560704], [[[1, 3], [2, 6], [4, 2], [6, 4], [8, 1]], 3501763/11007531417600], [[[1, 3], [2, 6], [4, 2], [6, 4], [10, 1]], 112751/458647142400], [[[1, 3], [2, 6], [4, 2], [6, 4], [12, 1]], 2082997/4127824281600], [[[1, 3], [2, 6], [4, 2], [7, 1], [9, 1]], 43/111476736], [[[1, 3], [2, 6], [4, 2], [7, 1], [14, 1]], 3679/144506880], [[[1, 3], [2, 6], [4, 2], [7, 1], [18, 1]], 229/111476736], [[[1, 3], [2, 6], [4, 2], [8, 1], [10, 2]], 493859/42467328000], [[[1, 3], [2, 6], [4, 2], [8, 1], [12, 2]], 75683/20384317440], [[[1, 3], [2, 6], [4, 2], [8, 1], [15, 1]], 6563/2123366400], [[[1, 3], [2, 6], [4, 2], [8, 1], [16, 1]], 1367/31457280], [[[1, 3], [2, 6], [4, 2], [8, 1], [20, 1]], 30179/1415577600], [[[1, 3], [2, 6], [4, 2], [8, 1], [24, 1]], 6151/339738624], [[[1, 3], [2, 6], [4, 2], [8, 1], [30, 1]], 6563/2123366400], [[[1, 3], [2, 6], [4, 2], [8, 2], [10, 1]], 129871/2831155200], [[[1, 3], [2, 6], [4, 2], [8, 2], [12, 1]], 91019/5096079360], [[[1, 3], [2, 6], [4, 2], [9, 1], [14, 1]], 575/111476736], [[[1, 3], [2, 6], [4, 2], [9, 1], [18, 1]], 27197/2149908480], [[[1, 3], [2, 6], [4, 2], [10, 1], [12, 2]], 51643/4246732800], [[[1, 3], [2, 6], [4, 2], [10, 1], [15, 1]], 191/88473600], [[[1, 3], [2, 6], [4, 2], [10, 1], [16, 1]], 11/307200], [[[1, 3], [2, 6], [4, 2], [10, 1], [20, 1]], 9403/294912000], [[[1, 3], [2, 6], [4, 2], [10, 1], [24, 1]], 191/70778880], [[[1, 3], [2, 6], [4, 2], [10, 1], [30, 1]], 191/88473600], [[[1, 3], [2, 6], [4, 2], [10, 2], [12, 1]], 93311/15925248000], [[[1, 3], [2, 6], [4, 2], [12, 1], [15, 1]], 767/796262400], [[[1, 3], [2, 6], [4, 2], [12, 1], [16, 1]], 7/983040], [[[1, 3], [2, 6], [4, 2], [12, 1], [20, 1]], 3923/530841600], [[[1, 3], [2, 6], [4, 2], [12, 1], [24, 1]], 5369/637009920], [[[1, 3], [2, 6], [4, 2], [12, 1], [30, 1]], 767/796262400], [[[1, 3], [2, 6], [4, 2], [14, 1], [18, 1]], 101/12386304], [[[1, 3], [2, 6], [4, 3], [5, 1], [6, 3]], 37/254803968], [[[1, 3], [2, 6], [4, 3], [5, 1], [7, 1]], 1/2949120], [[[1, 3], [2, 6], [4, 3], [5, 1], [9, 1]], 1/3981312], [[[1, 3], [2, 6], [4, 3], [5, 1], [14, 1]], 199/41287680], [[[1, 3], [2, 6], [4, 3], [5, 1], [18, 1]], 5/3538944], [[[1, 3], [2, 6], [4, 3], [5, 2], [6, 1]], 8077/7077888000], [[[1, 3], [2, 6], [4, 3], [6, 1], [8, 2]], 189449/6794772480], [[[1, 3], [2, 6], [4, 3], [6, 1], [10, 2]], 26621/7077888000], [[[1, 3], [2, 6], [4, 3], [6, 1], [12, 2]], 394373/30576476160], [[[1, 3], [2, 6], [4, 3], [6, 1], [15, 1]], 397/353894400], [[[1, 3], [2, 6], [4, 3], [6, 1], [16, 1]], 587/26542080], [[[1, 3], [2, 6], [4, 3], [6, 1], [20, 1]], 8497/424673280], [[[1, 3], [2, 6], [4, 3], [6, 1], [24, 1]], 397/283115520], [[[1, 3], [2, 6], [4, 3], [6, 1], [30, 1]], 397/353894400], [[[1, 3], [2, 6], [4, 3], [6, 2], [7, 1]], 5/6967296], [[[1, 3], [2, 6], [4, 3], [6, 2], [9, 1]], 101/214990848], [[[1, 3], [2, 6], [4, 3], [6, 2], [14, 1]], 59/55738368], [[[1, 3], [2, 6], [4, 3], [6, 2], [18, 1]], 6773/5733089280], [[[1, 3], [2, 6], [4, 3], [6, 3], [8, 1]], 17717/18345885696], [[[1, 3], [2, 6], [4, 3], [6, 3], [10, 1]], 36817/57330892800], [[[1, 3], [2, 6], [4, 3], [6, 3], [12, 1]], 206291/165112971264], [[[1, 3], [2, 6], [4, 3], [7, 1], [8, 1]], 1/393216], [[[1, 3], [2, 6], [4, 3], [7, 1], [10, 1]], 59/103219200], [[[1, 3], [2, 6], [4, 3], [7, 1], [12, 1]], 19/20643840], [[[1, 3], [2, 6], [4, 3], [8, 1], [9, 1]], 481/254803968], [[[1, 3], [2, 6], [4, 3], [8, 1], [14, 1]], 895/16515072], [[[1, 3], [2, 6], [4, 3], [8, 1], [18, 1]], 3893/254803968], [[[1, 3], [2, 6], [4, 3], [9, 1], [10, 1]], 7/16588800], [[[1, 3], [2, 6], [4, 3], [9, 1], [12, 1]], 41/59719680], [[[1, 3], [2, 6], [4, 3], [10, 1], [14, 1]], 1079/206438400], [[[1, 3], [2, 6], [4, 3], [10, 1], [18, 1]], 1297/796262400], [[[1, 3], [2, 6], [4, 3], [12, 1], [14, 1]], 1313/53084160], [[[1, 3], [2, 6], [4, 3], [12, 1], [18, 1]], 9833/1433272320], [[[1, 3], [2, 6], [4, 4], [5, 1], [6, 2]], 22883/57330892800], [[[1, 3], [2, 6], [4, 4], [5, 1], [8, 1]], 1219/707788800], [[[1, 3], [2, 6], [4, 4], [5, 1], [10, 1]], 13669/5308416000], [[[1, 3], [2, 6], [4, 4], [5, 1], [12, 1]], 2131/3185049600], [[[1, 3], [2, 6], [4, 4], [6, 1], [7, 1]], 49999/114661785600], [[[1, 3], [2, 6], [4, 4], [6, 1], [9, 1]], 202961/619173642240], [[[1, 3], [2, 6], [4, 4], [6, 1], [14, 1]], 23881/22295347200], [[[1, 3], [2, 6], [4, 4], [6, 1], [18, 1]], 521593/917294284800], [[[1, 3], [2, 6], [4, 4], [6, 2], [8, 1]], 142249/57330892800], [[[1, 3], [2, 6], [4, 4], [6, 2], [10, 1]], 569/637009920], [[[1, 3], [2, 6], [4, 4], [6, 2], [12, 1]], 33822187/14676708556800], [[[1, 3], [2, 6], [4, 4], [8, 1], [10, 1]], 221717/42467328000], [[[1, 3], [2, 6], [4, 4], [8, 1], [12, 1]], 1481/127401984], [[[1, 3], [2, 6], [4, 4], [10, 1], [12, 1]], 3721/1061683200], [[[1, 3], [2, 6], [4, 5], [5, 1], [6, 1]], 4853/15925248000], [[[1, 3], [2, 6], [4, 5], [6, 1], [8, 1]], 16831603/3669177139200], [[[1, 3], [2, 6], [4, 5], [6, 1], [10, 1]], 166399/254803968000], [[[1, 3], [2, 6], [4, 5], [6, 1], [12, 1]], 1840709/611529523200], [[[1, 3], [2, 6], [5, 1], [6, 2], [8, 2]], 23/238878720], [[[1, 3], [2, 6], [5, 1], [6, 2], [10, 2]], 2399/746496000], [[[1, 3], [2, 6], [5, 1], [6, 2], [12, 2]], 437/358318080], [[[1, 3], [2, 6], [5, 1], [6, 2], [15, 1]], 23/37324800], [[[1, 3], [2, 6], [5, 1], [6, 2], [20, 1]], 23/24883200], [[[1, 3], [2, 6], [5, 1], [6, 2], [24, 1]], 23/29859840], [[[1, 3], [2, 6], [5, 1], [6, 2], [30, 1]], 23/37324800], [[[1, 3], [2, 6], [5, 1], [6, 3], [7, 1]], 1/34836480], [[[1, 3], [2, 6], [5, 1], [6, 3], [9, 1]], 1/44789760], [[[1, 3], [2, 6], [5, 1], [6, 3], [14, 1]], 17/104509440], [[[1, 3], [2, 6], [5, 1], [6, 3], [18, 1]], 161/403107840], [[[1, 3], [2, 6], [5, 1], [6, 4], [8, 1]], 161/9555148800], [[[1, 3], [2, 6], [5, 1], [6, 4], [10, 1]], 1367/17915904000], [[[1, 3], [2, 6], [5, 1], [6, 4], [12, 1]], 23/214990848], [[[1, 3], [2, 6], [5, 1], [7, 1], [14, 1]], 1/125440], [[[1, 3], [2, 6], [5, 1], [7, 1], [18, 1]], 1/483840], [[[1, 3], [2, 6], [5, 1], [8, 1], [10, 2]], 1/36864000], [[[1, 3], [2, 6], [5, 1], [8, 1], [12, 2]], 1/17694720], [[[1, 3], [2, 6], [5, 1], [8, 1], [15, 1]], 1/1843200], [[[1, 3], [2, 6], [5, 1], [8, 1], [20, 1]], 1/1228800], [[[1, 3], [2, 6], [5, 1], [8, 1], [24, 1]], 1/1474560], [[[1, 3], [2, 6], [5, 1], [8, 1], [30, 1]], 1/1843200], [[[1, 3], [2, 6], [5, 1], [8, 2], [10, 1]], 7/22118400], [[[1, 3], [2, 6], [5, 1], [9, 1], [14, 1]], 1/161280], [[[1, 3], [2, 6], [5, 1], [9, 1], [18, 1]], 1/622080], [[[1, 3], [2, 6], [5, 1], [10, 1], [12, 2]], 7/33177600], [[[1, 3], [2, 6], [5, 1], [10, 1], [15, 1]], 7/3456000], [[[1, 3], [2, 6], [5, 1], [10, 1], [20, 1]], 7/2304000], [[[1, 3], [2, 6], [5, 1], [10, 1], [24, 1]], 7/2764800], [[[1, 3], [2, 6], [5, 1], [10, 1], [30, 1]], 7/3456000], [[[1, 3], [2, 6], [5, 1], [14, 1], [18, 1]], 17/1451520], [[[1, 3], [2, 6], [5, 2], [6, 1], [7, 1]], 49/1492992000], [[[1, 3], [2, 6], [5, 2], [6, 1], [9, 1]], 191/8062156800], [[[1, 3], [2, 6], [5, 2], [6, 1], [14, 1]], 31/290304000], [[[1, 3], [2, 6], [5, 2], [6, 1], [18, 1]], 523/11943936000], [[[1, 3], [2, 6], [5, 2], [6, 2], [8, 1]], 49/746496000], [[[1, 3], [2, 6], [5, 2], [6, 2], [10, 1]], 1/8294400], [[[1, 3], [2, 6], [5, 2], [6, 2], [12, 1]], 2059/63700992000], [[[1, 3], [2, 6], [5, 2], [8, 1], [10, 1]], 23/138240000], [[[1, 3], [2, 6], [6, 1], [7, 1], [8, 2]], 3583/3344302080], [[[1, 3], [2, 6], [6, 1], [7, 1], [10, 2]], 124759/10450944000], [[[1, 3], [2, 6], [6, 1], [7, 1], [12, 2]], 49/716636160], [[[1, 3], [2, 6], [6, 1], [7, 1], [15, 1]], 49/74649600], [[[1, 3], [2, 6], [6, 1], [7, 1], [20, 1]], 49/49766400], [[[1, 3], [2, 6], [6, 1], [7, 1], [24, 1]], 49/59719680], [[[1, 3], [2, 6], [6, 1], [7, 1], [30, 1]], 49/74649600], [[[1, 3], [2, 6], [6, 1], [8, 2], [9, 1]], 2135/2579890176], [[[1, 3], [2, 6], [6, 1], [8, 2], [14, 1]], 751/92897280], [[[1, 3], [2, 6], [6, 1], [8, 2], [18, 1]], 11683/3822059520], [[[1, 3], [2, 6], [6, 1], [9, 1], [10, 2]], 62399/8062156800], [[[1, 3], [2, 6], [6, 1], [9, 1], [12, 2]], 191/3869835264], [[[1, 3], [2, 6], [6, 1], [9, 1], [15, 1]], 191/403107840], [[[1, 3], [2, 6], [6, 1], [9, 1], [20, 1]], 191/268738560], [[[1, 3], [2, 6], [6, 1], [9, 1], [24, 1]], 191/322486272], [[[1, 3], [2, 6], [6, 1], [9, 1], [30, 1]], 191/403107840], [[[1, 3], [2, 6], [6, 1], [10, 2], [14, 1]], 5503/290304000], [[[1, 3], [2, 6], [6, 1], [10, 2], [18, 1]], 130699/11943936000], [[[1, 3], [2, 6], [6, 1], [12, 2], [14, 1]], 31/139345920], [[[1, 3], [2, 6], [6, 1], [12, 2], [18, 1]], 523/5733089280], [[[1, 3], [2, 6], [6, 1], [14, 1], [15, 1]], 31/14515200], [[[1, 3], [2, 6], [6, 1], [14, 1], [20, 1]], 31/9676800], [[[1, 3], [2, 6], [6, 1], [14, 1], [24, 1]], 31/11612160], [[[1, 3], [2, 6], [6, 1], [14, 1], [30, 1]], 31/14515200], [[[1, 3], [2, 6], [6, 1], [15, 1], [18, 1]], 523/597196800], [[[1, 3], [2, 6], [6, 1], [18, 1], [20, 1]], 523/398131200], [[[1, 3], [2, 6], [6, 1], [18, 1], [24, 1]], 523/477757440], [[[1, 3], [2, 6], [6, 1], [18, 1], [30, 1]], 523/597196800], [[[1, 3], [2, 6], [6, 2], [7, 1], [9, 1]], 25/15676416], [[[1, 3], [2, 6], [6, 2], [7, 1], [14, 1]], 1/31752], [[[1, 3], [2, 6], [6, 2], [7, 1], [18, 1]], 3103/940584960], [[[1, 3], [2, 6], [6, 2], [8, 1], [10, 2]], 6907/746496000], [[[1, 3], [2, 6], [6, 2], [8, 1], [12, 2]], 1403/716636160], [[[1, 3], [2, 6], [6, 2], [8, 1], [15, 1]], 49/37324800], [[[1, 3], [2, 6], [6, 2], [8, 1], [16, 1]], 7/1327104], [[[1, 3], [2, 6], [6, 2], [8, 1], [20, 1]], 49/24883200], [[[1, 3], [2, 6], [6, 2], [8, 1], [24, 1]], 49/29859840], [[[1, 3], [2, 6], [6, 2], [8, 1], [30, 1]], 49/37324800], [[[1, 3], [2, 6], [6, 2], [8, 2], [10, 1]], 331/66355200], [[[1, 3], [2, 6], [6, 2], [8, 2], [12, 1]], 42019/20384317440], [[[1, 3], [2, 6], [6, 2], [9, 1], [14, 1]], 37/7838208], [[[1, 3], [2, 6], [6, 2], [9, 1], [18, 1]], 6143/725594112], [[[1, 3], [2, 6], [6, 2], [10, 1], [12, 2]], 289/99532800], [[[1, 3], [2, 6], [6, 2], [10, 1], [15, 1]], 1/414720], [[[1, 3], [2, 6], [6, 2], [10, 1], [20, 1]], 1/276480], [[[1, 3], [2, 6], [6, 2], [10, 1], [24, 1]], 1/331776], [[[1, 3], [2, 6], [6, 2], [10, 1], [30, 1]], 1/414720], [[[1, 3], [2, 6], [6, 2], [10, 2], [12, 1]], 473227/63700992000], [[[1, 3], [2, 6], [6, 2], [12, 1], [15, 1]], 2059/3185049600], [[[1, 3], [2, 6], [6, 2], [12, 1], [20, 1]], 2059/2123366400], [[[1, 3], [2, 6], [6, 2], [12, 1], [24, 1]], 2059/2548039680], [[[1, 3], [2, 6], [6, 2], [12, 1], [30, 1]], 2059/3185049600], [[[1, 3], [2, 6], [6, 2], [14, 1], [18, 1]], 181/26127360], [[[1, 3], [2, 6], [6, 3], [7, 1], [8, 1]], 29/23887872], [[[1, 3], [2, 6], [6, 3], [7, 1], [10, 1]], 13/3628800], [[[1, 3], [2, 6], [6, 3], [7, 1], [12, 1]], 11383/5016453120], [[[1, 3], [2, 6], [6, 3], [8, 1], [9, 1]], 559/644972544], [[[1, 3], [2, 6], [6, 3], [8, 1], [14, 1]], 283/83607552], [[[1, 3], [2, 6], [6, 3], [8, 1], [18, 1]], 3481/1612431360], [[[1, 3], [2, 6], [6, 3], [9, 1], [10, 1]], 1157/503884800], [[[1, 3], [2, 6], [6, 3], [9, 1], [12, 1]], 5855/3869835264], [[[1, 3], [2, 6], [6, 3], [10, 1], [14, 1]], 727/130636800], [[[1, 3], [2, 6], [6, 3], [10, 1], [18, 1]], 697/167961600], [[[1, 3], [2, 6], [6, 3], [12, 1], [14, 1]], 631/139345920], [[[1, 3], [2, 6], [6, 3], [12, 1], [18, 1]], 4697/1911029760], [[[1, 3], [2, 6], [6, 4], [8, 1], [10, 1]], 58943/35831808000], [[[1, 3], [2, 6], [6, 4], [8, 1], [12, 1]], 2599/2149908480], [[[1, 3], [2, 6], [6, 4], [10, 1], [12, 1]], 2113/895795200], [[[1, 3], [2, 6], [7, 1], [8, 1], [9, 1]], 1/774144], [[[1, 3], [2, 6], [7, 1], [8, 1], [14, 1]], 23/602112], [[[1, 3], [2, 6], [7, 1], [8, 1], [18, 1]], 11/2322432], [[[1, 3], [2, 6], [7, 1], [9, 1], [10, 1]], 37/7257600], [[[1, 3], [2, 6], [7, 1], [10, 1], [14, 1]], 101/940800], [[[1, 3], [2, 6], [7, 1], [10, 1], [18, 1]], 1/100800], [[[1, 3], [2, 6], [8, 1], [9, 1], [14, 1]], 25/2322432], [[[1, 3], [2, 6], [8, 1], [9, 1], [18, 1]], 85/8957952], [[[1, 3], [2, 6], [8, 1], [10, 1], [12, 2]], 23/66355200], [[[1, 3], [2, 6], [8, 1], [10, 1], [15, 1]], 23/6912000], [[[1, 3], [2, 6], [8, 1], [10, 1], [16, 1]], 11/614400], [[[1, 3], [2, 6], [8, 1], [10, 1], [20, 1]], 23/4608000], [[[1, 3], [2, 6], [8, 1], [10, 1], [24, 1]], 23/5529600], [[[1, 3], [2, 6], [8, 1], [10, 1], [30, 1]], 23/6912000], [[[1, 3], [2, 6], [8, 1], [14, 1], [18, 1]], 19/1161216], [[[1, 3], [2, 6], [9, 1], [10, 1], [14, 1]], 1/60480], [[[1, 3], [2, 6], [9, 1], [10, 1], [18, 1]], 391/13996800], [[[1, 3], [2, 6], [10, 1], [14, 1], [18, 1]], 37/1814400], [[[1, 3], [2, 8], [3, 1], [4, 1], [6, 5]], 24910363/260052929740800], [[[1, 3], [2, 8], [3, 1], [4, 2], [5, 2]], 10557031/481579499520000], [[[1, 3], [2, 8], [3, 1], [4, 2], [6, 4]], 35012749991/124825406275584000], [[[1, 3], [2, 8], [3, 1], [4, 2], [8, 2]], 104747071/154105439846400], [[[1, 3], [2, 8], [3, 1], [4, 2], [10, 2]], 152406823/481579499520000], [[[1, 3], [2, 8], [3, 1], [4, 2], [12, 2]], 8024567/231158159769600], [[[1, 3], [2, 8], [3, 1], [4, 2], [15, 1]], 1303591/24078974976000], [[[1, 3], [2, 8], [3, 1], [4, 2], [20, 1]], 1303591/16052649984000], [[[1, 3], [2, 8], [3, 1], [4, 2], [24, 1]], 1303591/19263179980800], [[[1, 3], [2, 8], [3, 1], [4, 2], [30, 1]], 1303591/24078974976000], [[[1, 3], [2, 8], [3, 1], [4, 3], [6, 3]], 9187/15288238080], [[[1, 3], [2, 8], [3, 1], [4, 3], [7, 1]], 5/148635648], [[[1, 3], [2, 8], [3, 1], [4, 3], [9, 1]], 40091/963158999040], [[[1, 3], [2, 8], [3, 1], [4, 3], [14, 1]], 11/23592960], [[[1, 3], [2, 8], [3, 1], [4, 3], [18, 1]], 197/1433272320], [[[1, 3], [2, 8], [3, 1], [4, 4], [5, 1]], 113337871/3852635996160000], [[[1, 3], [2, 8], [3, 1], [4, 4], [6, 2]], 12698015671/55477958344704000], [[[1, 3], [2, 8], [3, 1], [4, 4], [8, 1]], 1816093/10273695989760], [[[1, 3], [2, 8], [3, 1], [4, 4], [10, 1]], 30053/764411904000], [[[1, 3], [2, 8], [3, 1], [4, 4], [12, 1]], 632409431/9246326390784000], [[[1, 3], [2, 8], [3, 1], [4, 5], [6, 1]], 1620671/25684239974400], [[[1, 3], [2, 8], [3, 1], [5, 1], [6, 4]], 838973621/13002646487040000], [[[1, 3], [2, 8], [3, 1], [5, 1], [8, 2]], 457621/16052649984000], [[[1, 3], [2, 8], [3, 1], [5, 1], [10, 2]], 24825013/50164531200000], [[[1, 3], [2, 8], [3, 1], [5, 1], [12, 2]], 4021/24078974976000], [[[1, 3], [2, 8], [3, 1], [5, 1], [15, 1]], 4021/2508226560000], [[[1, 3], [2, 8], [3, 1], [5, 1], [20, 1]], 4021/1672151040000], [[[1, 3], [2, 8], [3, 1], [5, 1], [24, 1]], 4021/2006581248000], [[[1, 3], [2, 8], [3, 1], [5, 1], [30, 1]], 4021/2508226560000], [[[1, 3], [2, 8], [3, 1], [5, 2], [6, 2]], 35795821/722369249280000], [[[1, 3], [2, 8], [3, 1], [5, 2], [8, 1]], 11/26754416640], [[[1, 3], [2, 8], [3, 1], [5, 2], [10, 1]], 887/9953280000], [[[1, 3], [2, 8], [3, 1], [5, 2], [12, 1]], 11821/120394874880000], [[[1, 3], [2, 8], [3, 1], [6, 2], [8, 2]], 101023501/231158159769600], [[[1, 3], [2, 8], [3, 1], [6, 2], [10, 2]], 3145096813/722369249280000], [[[1, 3], [2, 8], [3, 1], [6, 2], [12, 2]], 9280621/49533891379200], [[[1, 3], [2, 8], [3, 1], [6, 2], [15, 1]], 6765421/36118462464000], [[[1, 3], [2, 8], [3, 1], [6, 2], [20, 1]], 6765421/24078974976000], [[[1, 3], [2, 8], [3, 1], [6, 2], [24, 1]], 12732781/28894769971200], [[[1, 3], [2, 8], [3, 1], [6, 2], [30, 1]], 6765421/36118462464000], [[[1, 3], [2, 8], [3, 1], [6, 3], [7, 1]], 73/125411328], [[[1, 3], [2, 8], [3, 1], [6, 3], [9, 1]], 187777/406332702720], [[[1, 3], [2, 8], [3, 1], [6, 3], [14, 1]], 283/104509440], [[[1, 3], [2, 8], [3, 1], [6, 3], [18, 1]], 70410541/65013232435200], [[[1, 3], [2, 8], [3, 1], [6, 4], [8, 1]], 2801803/6934744793088], [[[1, 3], [2, 8], [3, 1], [6, 4], [10, 1]], 3522743/2579890176000], [[[1, 3], [2, 8], [3, 1], [6, 4], [12, 1]], 3611497673/4458050224128000], [[[1, 3], [2, 8], [3, 1], [7, 1], [9, 1]], 4021/2106910310400], [[[1, 3], [2, 8], [3, 1], [7, 1], [14, 1]], 1/10838016], [[[1, 3], [2, 8], [3, 1], [7, 1], [18, 1]], 1/41803776], [[[1, 3], [2, 8], [3, 1], [8, 1], [10, 2]], 72631/133772083200], [[[1, 3], [2, 8], [3, 1], [8, 1], [12, 2]], 55/64210599936], [[[1, 3], [2, 8], [3, 1], [8, 1], [15, 1]], 11/1337720832], [[[1, 3], [2, 8], [3, 1], [8, 1], [20, 1]], 11/891813888], [[[1, 3], [2, 8], [3, 1], [8, 1], [24, 1]], 55/5350883328], [[[1, 3], [2, 8], [3, 1], [8, 1], [30, 1]], 11/1337720832], [[[1, 3], [2, 8], [3, 1], [8, 2], [10, 1]], 1247/3185049600], [[[1, 3], [2, 8], [3, 1], [8, 2], [12, 1]], 1372621/38526359961600], [[[1, 3], [2, 8], [3, 1], [9, 1], [14, 1]], 1639/17557585920], [[[1, 3], [2, 8], [3, 1], [9, 1], [18, 1]], 71/2821754880], [[[1, 3], [2, 8], [3, 1], [10, 1], [12, 2]], 23/4777574400], [[[1, 3], [2, 8], [3, 1], [10, 1], [15, 1]], 23/497664000], [[[1, 3], [2, 8], [3, 1], [10, 1], [20, 1]], 23/331776000], [[[1, 3], [2, 8], [3, 1], [10, 1], [24, 1]], 23/398131200], [[[1, 3], [2, 8], [3, 1], [10, 1], [30, 1]], 23/497664000], [[[1, 3], [2, 8], [3, 1], [10, 2], [12, 1]], 68378413/120394874880000], [[[1, 3], [2, 8], [3, 1], [12, 1], [15, 1]], 11821/6019743744000], [[[1, 3], [2, 8], [3, 1], [12, 1], [20, 1]], 11821/4013162496000], [[[1, 3], [2, 8], [3, 1], [12, 1], [24, 1]], 11821/4815794995200], [[[1, 3], [2, 8], [3, 1], [12, 1], [30, 1]], 11821/6019743744000], [[[1, 3], [2, 8], [3, 1], [14, 1], [18, 1]], 17/41803776], [[[1, 3], [2, 8], [3, 2], [4, 1], [5, 2]], 47/9555148800], [[[1, 3], [2, 8], [3, 2], [4, 1], [6, 4]], 7324259/12383472844800], [[[1, 3], [2, 8], [3, 2], [4, 1], [8, 2]], 1567/15288238080], [[[1, 3], [2, 8], [3, 2], [4, 1], [10, 2]], 1747/47775744000], [[[1, 3], [2, 8], [3, 2], [4, 1], [12, 2]], 37/4459069440], [[[1, 3], [2, 8], [3, 2], [4, 1], [15, 1]], 19/2388787200], [[[1, 3], [2, 8], [3, 2], [4, 1], [20, 1]], 19/1592524800], [[[1, 3], [2, 8], [3, 2], [4, 1], [24, 1]], 19/1911029760], [[[1, 3], [2, 8], [3, 2], [4, 1], [30, 1]], 19/2388787200], [[[1, 3], [2, 8], [3, 2], [4, 2], [6, 3]], 7409369/9906778275840], [[[1, 3], [2, 8], [3, 2], [4, 2], [7, 1]], 1/33030144], [[[1, 3], [2, 8], [3, 2], [4, 2], [9, 1]], 2324191/43342154956800], [[[1, 3], [2, 8], [3, 2], [4, 2], [14, 1]], 95/222953472], [[[1, 3], [2, 8], [3, 2], [4, 2], [18, 1]], 217/1719926784], [[[1, 3], [2, 8], [3, 2], [4, 3], [5, 1]], 47/1274019840], [[[1, 3], [2, 8], [3, 2], [4, 3], [6, 2]], 7442341/18492652781568], [[[1, 3], [2, 8], [3, 2], [4, 3], [8, 1]], 233/1358954496], [[[1, 3], [2, 8], [3, 2], [4, 3], [10, 1]], 31/1274019840], [[[1, 3], [2, 8], [3, 2], [4, 3], [12, 1]], 62327/1027369598976], [[[1, 3], [2, 8], [3, 2], [4, 4], [6, 1]], 3191837/69347447930880], [[[1, 3], [2, 8], [3, 2], [5, 1], [6, 3]], 77873/257989017600], [[[1, 3], [2, 8], [3, 2], [5, 1], [9, 1]], 4021/4514807808000], [[[1, 3], [2, 8], [3, 2], [5, 1], [14, 1]], 1/23224320], [[[1, 3], [2, 8], [3, 2], [5, 1], [18, 1]], 1/89579520], [[[1, 3], [2, 8], [3, 2], [5, 2], [6, 1]], 45007/4514807808000], [[[1, 3], [2, 8], [3, 2], [6, 1], [8, 2]], 341863/1444738498560], [[[1, 3], [2, 8], [3, 2], [6, 1], [10, 2]], 87319/180592312320], [[[1, 3], [2, 8], [3, 2], [6, 1], [12, 2]], 8407/309586821120], [[[1, 3], [2, 8], [3, 2], [6, 1], [15, 1]], 1139/45148078080], [[[1, 3], [2, 8], [3, 2], [6, 1], [20, 1]], 1139/30098718720], [[[1, 3], [2, 8], [3, 2], [6, 1], [24, 1]], 1139/36118462464], [[[1, 3], [2, 8], [3, 2], [6, 1], [30, 1]], 1139/45148078080], [[[1, 3], [2, 8], [3, 2], [6, 2], [7, 1]], 32694581/67421129932800], [[[1, 3], [2, 8], [3, 2], [6, 2], [9, 1]], 8319119/17336861982720], [[[1, 3], [2, 8], [3, 2], [6, 2], [14, 1]], 2621179/561842749440], [[[1, 3], [2, 8], [3, 2], [6, 2], [18, 1]], 479021/325066162176], [[[1, 3], [2, 8], [3, 2], [6, 3], [8, 1]], 3944177/5778953994240], [[[1, 3], [2, 8], [3, 2], [6, 3], [10, 1]], 8821207/3611846246400], [[[1, 3], [2, 8], [3, 2], [6, 3], [12, 1]], 3087311/2167107747840], [[[1, 3], [2, 8], [3, 2], [7, 1], [10, 1]], 1/19353600], [[[1, 3], [2, 8], [3, 2], [7, 1], [12, 1]], 4021/11236854988800], [[[1, 3], [2, 8], [3, 2], [8, 1], [9, 1]], 55/12039487488], [[[1, 3], [2, 8], [3, 2], [8, 1], [14, 1]], 1/4644864], [[[1, 3], [2, 8], [3, 2], [8, 1], [18, 1]], 1/17915904], [[[1, 3], [2, 8], [3, 2], [9, 1], [10, 1]], 59/895795200], [[[1, 3], [2, 8], [3, 2], [9, 1], [12, 1]], 11821/8668430991360], [[[1, 3], [2, 8], [3, 2], [10, 1], [14, 1]], 19/29030400], [[[1, 3], [2, 8], [3, 2], [10, 1], [18, 1]], 11/55987200], [[[1, 3], [2, 8], [3, 2], [12, 1], [14, 1]], 5419/93640458240], [[[1, 3], [2, 8], [3, 2], [12, 1], [18, 1]], 457/30098718720], [[[1, 3], [2, 8], [3, 3], [4, 1], [6, 3]], 12232187/26005292974080], [[[1, 3], [2, 8], [3, 3], [4, 1], [7, 1]], 1/2229534720], [[[1, 3], [2, 8], [3, 3], [4, 1], [9, 1]], 41/8599633920], [[[1, 3], [2, 8], [3, 3], [4, 1], [14, 1]], 787/6688604160], [[[1, 3], [2, 8], [3, 3], [4, 1], [18, 1]], 793/25798901760], [[[1, 3], [2, 8], [3, 3], [4, 2], [5, 1]], 557/38220595200], [[[1, 3], [2, 8], [3, 3], [4, 2], [6, 2]], 3133086079/12482540627558400], [[[1, 3], [2, 8], [3, 3], [4, 2], [8, 1]], 12331/275188285440], [[[1, 3], [2, 8], [3, 3], [4, 2], [10, 1]], 17/5374771200], [[[1, 3], [2, 8], [3, 3], [4, 2], [12, 1]], 29756449/1248254062755840], [[[1, 3], [2, 8], [3, 3], [4, 3], [6, 1]], 131953/3715041853440], [[[1, 3], [2, 8], [3, 3], [5, 1], [6, 2]], 40086581/144473849856000], [[[1, 3], [2, 8], [3, 3], [5, 1], [10, 1]], 13/497664000], [[[1, 3], [2, 8], [3, 3], [5, 1], [12, 1]], 4021/24078974976000], [[[1, 3], [2, 8], [3, 3], [6, 1], [7, 1]], 13/3386105856], [[[1, 3], [2, 8], [3, 3], [6, 1], [9, 1]], 20711/1218998108160], [[[1, 3], [2, 8], [3, 3], [6, 1], [14, 1]], 2071/4232632320], [[[1, 3], [2, 8], [3, 3], [6, 1], [18, 1]], 75394541/585119091916800], [[[1, 3], [2, 8], [3, 3], [6, 2], [8, 1]], 4501645/10402117189632], [[[1, 3], [2, 8], [3, 3], [6, 2], [10, 1]], 1453159/2321901158400], [[[1, 3], [2, 8], [3, 3], [6, 2], [12, 1]], 1241957399/3120635156889600], [[[1, 3], [2, 8], [3, 3], [8, 1], [10, 1]], 67/1791590400], [[[1, 3], [2, 8], [3, 3], [8, 1], [12, 1]], 55/64210599936], [[[1, 3], [2, 8], [3, 3], [10, 1], [12, 1]], 167/4777574400], [[[1, 3], [2, 8], [3, 4], [4, 1], [5, 1]], 30683/144473849856000], [[[1, 3], [2, 8], [3, 4], [4, 1], [6, 2]], 13742887/111451255603200], [[[1, 3], [2, 8], [3, 4], [4, 1], [8, 1]], 37986541/27738979172352000], [[[1, 3], [2, 8], [3, 4], [4, 1], [10, 1]], 141343/28894769971200], [[[1, 3], [2, 8], [3, 4], [4, 1], [12, 1]], 18913/17336861982720], [[[1, 3], [2, 8], [3, 4], [4, 2], [6, 1]], 5655859/297203348275200], [[[1, 3], [2, 8], [3, 4], [5, 1], [6, 1]], 41713/23219011584000], [[[1, 3], [2, 8], [3, 4], [6, 1], [8, 1]], 5701681/520105859481600], [[[1, 3], [2, 8], [3, 4], [6, 1], [10, 1]], 56429/1337720832000], [[[1, 3], [2, 8], [3, 4], [6, 1], [12, 1]], 46943/9287604633600], [[[1, 3], [2, 8], [3, 5], [4, 1], [6, 1]], 1616603/260052929740800], [[[1, 3], [2, 8], [4, 1], [5, 1], [6, 4]], 9787003/144473849856000], [[[1, 3], [2, 8], [4, 1], [5, 1], [8, 2]], 30683/178362777600], [[[1, 3], [2, 8], [4, 1], [5, 1], [10, 2]], 1403579/557383680000], [[[1, 3], [2, 8], [4, 1], [5, 1], [12, 2]], 443/267544166400], [[[1, 3], [2, 8], [4, 1], [5, 1], [15, 1]], 443/27869184000], [[[1, 3], [2, 8], [4, 1], [5, 1], [20, 1]], 443/18579456000], [[[1, 3], [2, 8], [4, 1], [5, 1], [24, 1]], 443/22295347200], [[[1, 3], [2, 8], [4, 1], [5, 1], [30, 1]], 443/27869184000], [[[1, 3], [2, 8], [4, 1], [5, 2], [6, 2]], 30167/429981696000], [[[1, 3], [2, 8], [4, 1], [5, 2], [8, 1]], 488941/107017666560000], [[[1, 3], [2, 8], [4, 1], [5, 2], [10, 1]], 80411/557383680000], [[[1, 3], [2, 8], [4, 1], [5, 2], [12, 1]], 13/66886041600], [[[1, 3], [2, 8], [4, 1], [6, 2], [8, 2]], 159731/137594142720], [[[1, 3], [2, 8], [4, 1], [6, 2], [10, 2]], 1459727/429981696000], [[[1, 3], [2, 8], [4, 1], [6, 2], [12, 2]], 34883/90296156160], [[[1, 3], [2, 8], [4, 1], [6, 2], [15, 1]], 4247/21499084800], [[[1, 3], [2, 8], [4, 1], [6, 2], [16, 1]], 1/3981312], [[[1, 3], [2, 8], [4, 1], [6, 2], [20, 1]], 4247/14332723200], [[[1, 3], [2, 8], [4, 1], [6, 2], [24, 1]], 4247/17199267840], [[[1, 3], [2, 8], [4, 1], [6, 2], [30, 1]], 4247/21499084800], [[[1, 3], [2, 8], [4, 1], [6, 3], [7, 1]], 485/1337720832], [[[1, 3], [2, 8], [4, 1], [6, 3], [9, 1]], 6793/25798901760], [[[1, 3], [2, 8], [4, 1], [6, 3], [14, 1]], 28111/20065812480], [[[1, 3], [2, 8], [4, 1], [6, 3], [18, 1]], 49709/77396705280], [[[1, 3], [2, 8], [4, 1], [6, 4], [8, 1]], 12573788141/27738979172352000], [[[1, 3], [2, 8], [4, 1], [6, 4], [10, 1]], 21424703/28894769971200], [[[1, 3], [2, 8], [4, 1], [6, 4], [12, 1]], 9117233/17336861982720], [[[1, 3], [2, 8], [4, 1], [7, 1], [9, 1]], 1/30965760], [[[1, 3], [2, 8], [4, 1], [7, 1], [14, 1]], 2063/1300561920], [[[1, 3], [2, 8], [4, 1], [7, 1], [18, 1]], 5/18579456], [[[1, 3], [2, 8], [4, 1], [8, 1], [10, 2]], 333032173/107017666560000], [[[1, 3], [2, 8], [4, 1], [8, 1], [12, 2]], 488941/51368479948800], [[[1, 3], [2, 8], [4, 1], [8, 1], [15, 1]], 488941/5350883328000], [[[1, 3], [2, 8], [4, 1], [8, 1], [16, 1]], 703/2972712960], [[[1, 3], [2, 8], [4, 1], [8, 1], [20, 1]], 613741/3567255552000], [[[1, 3], [2, 8], [4, 1], [8, 1], [24, 1]], 738541/4280706662400], [[[1, 3], [2, 8], [4, 1], [8, 1], [30, 1]], 488941/5350883328000], [[[1, 3], [2, 8], [4, 1], [8, 2], [10, 1]], 437243/178362777600], [[[1, 3], [2, 8], [4, 1], [8, 2], [12, 1]], 1525/21403533312], [[[1, 3], [2, 8], [4, 1], [9, 1], [14, 1]], 67/92897280], [[[1, 3], [2, 8], [4, 1], [9, 1], [18, 1]], 1973/5016453120], [[[1, 3], [2, 8], [4, 1], [10, 1], [12, 2]], 1567/53508833280], [[[1, 3], [2, 8], [4, 1], [10, 1], [15, 1]], 1567/5573836800], [[[1, 3], [2, 8], [4, 1], [10, 1], [16, 1]], 1/1843200], [[[1, 3], [2, 8], [4, 1], [10, 1], [20, 1]], 1567/3715891200], [[[1, 3], [2, 8], [4, 1], [10, 1], [24, 1]], 1567/4459069440], [[[1, 3], [2, 8], [4, 1], [10, 1], [30, 1]], 1567/5573836800], [[[1, 3], [2, 8], [4, 1], [10, 2], [12, 1]], 72589/66886041600], [[[1, 3], [2, 8], [4, 1], [12, 1], [15, 1]], 13/3344302080], [[[1, 3], [2, 8], [4, 1], [12, 1], [16, 1]], 13/445906944], [[[1, 3], [2, 8], [4, 1], [12, 1], [20, 1]], 13/445906944], [[[1, 3], [2, 8], [4, 1], [12, 1], [24, 1]], 13/382205952], [[[1, 3], [2, 8], [4, 1], [12, 1], [30, 1]], 13/3344302080], [[[1, 3], [2, 8], [4, 1], [14, 1], [18, 1]], 73/39813120], [[[1, 3], [2, 8], [4, 2], [5, 1], [6, 3]], 44957/171992678400], [[[1, 3], [2, 8], [4, 2], [5, 1], [7, 1]], 17/412876800], [[[1, 3], [2, 8], [4, 2], [5, 1], [9, 1]], 17/530841600], [[[1, 3], [2, 8], [4, 2], [5, 1], [14, 1]], 253/309657600], [[[1, 3], [2, 8], [4, 2], [5, 1], [18, 1]], 557/2388787200], [[[1, 3], [2, 8], [4, 2], [5, 2], [6, 1]], 30611/1146617856000], [[[1, 3], [2, 8], [4, 2], [6, 1], [8, 2]], 752159/366917713920], [[[1, 3], [2, 8], [4, 2], [6, 1], [10, 2]], 2378963/1146617856000], [[[1, 3], [2, 8], [4, 2], [6, 1], [12, 2]], 1546949/3852635996160], [[[1, 3], [2, 8], [4, 2], [6, 1], [15, 1]], 9299/57330892800], [[[1, 3], [2, 8], [4, 2], [6, 1], [16, 1]], 37/79626240], [[[1, 3], [2, 8], [4, 2], [6, 1], [20, 1]], 23507/38220595200], [[[1, 3], [2, 8], [4, 2], [6, 1], [24, 1]], 9299/45864714240], [[[1, 3], [2, 8], [4, 2], [6, 1], [30, 1]], 9299/57330892800], [[[1, 3], [2, 8], [4, 2], [6, 2], [7, 1]], 3823/10032906240], [[[1, 3], [2, 8], [4, 2], [6, 2], [9, 1]], 4501/15479341056], [[[1, 3], [2, 8], [4, 2], [6, 2], [14, 1]], 803/371589120], [[[1, 3], [2, 8], [4, 2], [6, 2], [18, 1]], 86927/103195607040], [[[1, 3], [2, 8], [4, 2], [6, 3], [8, 1]], 337537/275188285440], [[[1, 3], [2, 8], [4, 2], [6, 3], [10, 1]], 15131/11466178560], [[[1, 3], [2, 8], [4, 2], [6, 3], [12, 1]], 34249021/34673723965440], [[[1, 3], [2, 8], [4, 2], [7, 1], [8, 1]], 169/495452160], [[[1, 3], [2, 8], [4, 2], [7, 1], [10, 1]], 1/3276800], [[[1, 3], [2, 8], [4, 2], [7, 1], [12, 1]], 140101/2809213747200], [[[1, 3], [2, 8], [4, 2], [8, 1], [9, 1]], 991/3822059520], [[[1, 3], [2, 8], [4, 2], [8, 1], [14, 1]], 451/123863040], [[[1, 3], [2, 8], [4, 2], [8, 1], [18, 1]], 4261/3822059520], [[[1, 3], [2, 8], [4, 2], [9, 1], [10, 1]], 17/74649600], [[[1, 3], [2, 8], [4, 2], [9, 1], [12, 1]], 420061/10835538739200], [[[1, 3], [2, 8], [4, 2], [10, 1], [14, 1]], 23/8847360], [[[1, 3], [2, 8], [4, 2], [10, 1], [18, 1]], 131/159252480], [[[1, 3], [2, 8], [4, 2], [12, 1], [14, 1]], 25327/23410114560], [[[1, 3], [2, 8], [4, 2], [12, 1], [18, 1]], 461/1504935936], [[[1, 3], [2, 8], [4, 3], [5, 1], [6, 2]], 677/2123366400], [[[1, 3], [2, 8], [4, 3], [5, 1], [8, 1]], 1661/5662310400], [[[1, 3], [2, 8], [4, 3], [5, 1], [10, 1]], 157/294912000], [[[1, 3], [2, 8], [4, 3], [5, 1], [12, 1]], 457/8360755200], [[[1, 3], [2, 8], [4, 3], [6, 1], [7, 1]], 107/836075520], [[[1, 3], [2, 8], [4, 3], [6, 1], [9, 1]], 989/10319560704], [[[1, 3], [2, 8], [4, 3], [6, 1], [14, 1]], 3539/2675441664], [[[1, 3], [2, 8], [4, 3], [6, 1], [18, 1]], 406387/963158999040], [[[1, 3], [2, 8], [4, 3], [6, 2], [8, 1]], 607/339738624], [[[1, 3], [2, 8], [4, 3], [6, 2], [10, 1]], 61673/57330892800], [[[1, 3], [2, 8], [4, 3], [6, 2], [12, 1]], 45722443/46231631953920], [[[1, 3], [2, 8], [4, 3], [8, 1], [10, 1]], 323/157286400], [[[1, 3], [2, 8], [4, 3], [8, 1], [12, 1]], 7998901/12842119987200], [[[1, 3], [2, 8], [4, 3], [10, 1], [12, 1]], 6799/8360755200], [[[1, 3], [2, 8], [4, 4], [5, 1], [6, 1]], 637403/6879707136000], [[[1, 3], [2, 8], [4, 4], [6, 1], [8, 1]], 94910171/154105439846400], [[[1, 3], [2, 8], [4, 4], [6, 1], [10, 1]], 2991413/10701766656000], [[[1, 3], [2, 8], [4, 4], [6, 1], [12, 1]], 5227501/19263179980800], [[[1, 3], [2, 8], [5, 1], [6, 1], [8, 2]], 113/28665446400], [[[1, 3], [2, 8], [5, 1], [6, 1], [10, 2]], 98609/89579520000], [[[1, 3], [2, 8], [5, 1], [6, 1], [12, 2]], 113/42998169600], [[[1, 3], [2, 8], [5, 1], [6, 1], [15, 1]], 113/4478976000], [[[1, 3], [2, 8], [5, 1], [6, 1], [20, 1]], 113/2985984000], [[[1, 3], [2, 8], [5, 1], [6, 1], [24, 1]], 113/3583180800], [[[1, 3], [2, 8], [5, 1], [6, 1], [30, 1]], 113/4478976000], [[[1, 3], [2, 8], [5, 1], [6, 2], [7, 1]], 1/11612160], [[[1, 3], [2, 8], [5, 1], [6, 2], [9, 1]], 1/14929920], [[[1, 3], [2, 8], [5, 1], [6, 2], [14, 1]], 13/17418240], [[[1, 3], [2, 8], [5, 1], [6, 2], [18, 1]], 2033/8062156800], [[[1, 3], [2, 8], [5, 1], [6, 3], [8, 1]], 5/95551488], [[[1, 3], [2, 8], [5, 1], [6, 3], [10, 1]], 401/1119744000], [[[1, 3], [2, 8], [5, 1], [6, 3], [12, 1]], 7793/42998169600], [[[1, 3], [2, 8], [5, 1], [7, 1], [10, 1]], 1/5376000], [[[1, 3], [2, 8], [5, 1], [8, 1], [14, 1]], 1/1720320], [[[1, 3], [2, 8], [5, 1], [8, 1], [18, 1]], 1/6635520], [[[1, 3], [2, 8], [5, 1], [9, 1], [10, 1]], 1/6912000], [[[1, 3], [2, 8], [5, 1], [10, 1], [14, 1]], 19/8064000], [[[1, 3], [2, 8], [5, 1], [10, 1], [18, 1]], 11/15552000], [[[1, 3], [2, 8], [5, 2], [6, 1], [8, 1]], 7601/2006581248000], [[[1, 3], [2, 8], [5, 2], [6, 1], [10, 1]], 167/15482880000], [[[1, 3], [2, 8], [5, 2], [6, 1], [12, 1]], 37/83607552000], [[[1, 3], [2, 8], [6, 1], [7, 1], [9, 1]], 23/376233984], [[[1, 3], [2, 8], [6, 1], [7, 1], [14, 1]], 899/487710720], [[[1, 3], [2, 8], [6, 1], [7, 1], [18, 1]], 515861/2106910310400], [[[1, 3], [2, 8], [6, 1], [8, 1], [10, 2]], 5051633/2006581248000], [[[1, 3], [2, 8], [6, 1], [8, 1], [12, 2]], 7601/963158999040], [[[1, 3], [2, 8], [6, 1], [8, 1], [15, 1]], 7601/100329062400], [[[1, 3], [2, 8], [6, 1], [8, 1], [16, 1]], 37/159252480], [[[1, 3], [2, 8], [6, 1], [8, 1], [20, 1]], 7601/66886041600], [[[1, 3], [2, 8], [6, 1], [8, 1], [24, 1]], 7601/80263249920], [[[1, 3], [2, 8], [6, 1], [8, 1], [30, 1]], 7601/100329062400], [[[1, 3], [2, 8], [6, 1], [8, 2], [10, 1]], 4031/4954521600], [[[1, 3], [2, 8], [6, 1], [8, 2], [12, 1]], 5077/26754416640], [[[1, 3], [2, 8], [6, 1], [9, 1], [14, 1]], 1067/1881169920], [[[1, 3], [2, 8], [6, 1], [9, 1], [18, 1]], 3695501/8126654054400], [[[1, 3], [2, 8], [6, 1], [10, 1], [12, 2]], 167/7431782400], [[[1, 3], [2, 8], [6, 1], [10, 1], [15, 1]], 167/774144000], [[[1, 3], [2, 8], [6, 1], [10, 1], [20, 1]], 167/516096000], [[[1, 3], [2, 8], [6, 1], [10, 1], [24, 1]], 167/619315200], [[[1, 3], [2, 8], [6, 1], [10, 1], [30, 1]], 167/774144000], [[[1, 3], [2, 8], [6, 1], [10, 2], [12, 1]], 88741/83607552000], [[[1, 3], [2, 8], [6, 1], [12, 1], [15, 1]], 37/4180377600], [[[1, 3], [2, 8], [6, 1], [12, 1], [20, 1]], 37/2786918400], [[[1, 3], [2, 8], [6, 1], [12, 1], [24, 1]], 37/3344302080], [[[1, 3], [2, 8], [6, 1], [12, 1], [30, 1]], 37/4180377600], [[[1, 3], [2, 8], [6, 1], [14, 1], [18, 1]], 20399/17557585920], [[[1, 3], [2, 8], [6, 2], [7, 1], [8, 1]], 31/104509440], [[[1, 3], [2, 8], [6, 2], [7, 1], [10, 1]], 361/348364800], [[[1, 3], [2, 8], [6, 2], [7, 1], [12, 1]], 2051381/11236854988800], [[[1, 3], [2, 8], [6, 2], [8, 1], [9, 1]], 89/403107840], [[[1, 3], [2, 8], [6, 2], [8, 1], [14, 1]], 11/6531840], [[[1, 3], [2, 8], [6, 2], [8, 1], [18, 1]], 112433/180592312320], [[[1, 3], [2, 8], [6, 2], [9, 1], [10, 1]], 2969/4031078400], [[[1, 3], [2, 8], [6, 2], [9, 1], [12, 1]], 5795501/43342154956800], [[[1, 3], [2, 8], [6, 2], [10, 1], [14, 1]], 3643/1045094400], [[[1, 3], [2, 8], [6, 2], [10, 1], [18, 1]], 56113/37623398400], [[[1, 3], [2, 8], [6, 2], [12, 1], [14, 1]], 80459/93640458240], [[[1, 3], [2, 8], [6, 2], [12, 1], [18, 1]], 3151/10032906240], [[[1, 3], [2, 8], [6, 3], [8, 1], [10, 1]], 109/95551488], [[[1, 3], [2, 8], [6, 3], [8, 1], [12, 1]], 426929/963158999040], [[[1, 3], [2, 8], [6, 3], [10, 1], [12, 1]], 8437/8026324992], [[[1, 3], [2, 8], [7, 1], [8, 1], [10, 1]], 1/1433600], [[[1, 3], [2, 8], [8, 1], [9, 1], [10, 1]], 13/24883200], [[[1, 3], [2, 8], [8, 1], [10, 1], [14, 1]], 109/25804800], [[[1, 3], [2, 8], [8, 1], [10, 1], [18, 1]], 143/99532800], [[[1, 3], [2, 10], [3, 1], [4, 1], [5, 2]], 1237/22932357120000], [[[1, 3], [2, 10], [3, 1], [4, 1], [6, 4]], 4504690963/41608468758528000], [[[1, 3], [2, 10], [3, 1], [4, 1], [8, 2]], 350989/51368479948800], [[[1, 3], [2, 10], [3, 1], [4, 1], [10, 2]], 13743859/160526499840000], [[[1, 3], [2, 10], [3, 1], [4, 1], [12, 2]], 8627/77052719923200], [[[1, 3], [2, 10], [3, 1], [4, 1], [15, 1]], 2803/8026324992000], [[[1, 3], [2, 10], [3, 1], [4, 1], [20, 1]], 2803/5350883328000], [[[1, 3], [2, 10], [3, 1], [4, 1], [24, 1]], 2803/6421059993600], [[[1, 3], [2, 10], [3, 1], [4, 1], [30, 1]], 2803/8026324992000], [[[1, 3], [2, 10], [3, 1], [4, 2], [6, 3]], 736299103/6241270313779200], [[[1, 3], [2, 10], [3, 1], [4, 2], [7, 1]], 48511/22473709977600], [[[1, 3], [2, 10], [3, 1], [4, 2], [9, 1]], 592063/231158159769600], [[[1, 3], [2, 10], [3, 1], [4, 2], [14, 1]], 676051/11236854988800], [[[1, 3], [2, 10], [3, 1], [4, 2], [18, 1]], 362281/21671077478400], [[[1, 3], [2, 10], [3, 1], [4, 3], [5, 1]], 49801/16052649984000], [[[1, 3], [2, 10], [3, 1], [4, 3], [6, 2]], 12972061/231158159769600], [[[1, 3], [2, 10], [3, 1], [4, 3], [8, 1]], 2228683/102736959897600], [[[1, 3], [2, 10], [3, 1], [4, 3], [10, 1]], 632143/32105299968000], [[[1, 3], [2, 10], [3, 1], [4, 3], [12, 1]], 149969/38526359961600], [[[1, 3], [2, 10], [3, 1], [4, 4], [6, 1]], 13622129/1109559166894080], [[[1, 3], [2, 10], [3, 1], [5, 1], [6, 3]], 14833747/650132324352000], [[[1, 3], [2, 10], [3, 1], [5, 1], [7, 1]], 41/780337152000], [[[1, 3], [2, 10], [3, 1], [5, 1], [9, 1]], 157/2579890176000], [[[1, 3], [2, 10], [3, 1], [5, 1], [14, 1]], 1381/780337152000], [[[1, 3], [2, 10], [3, 1], [5, 1], [18, 1]], 4387/9029615616000], [[[1, 3], [2, 10], [3, 1], [5, 2], [6, 1]], 5639/14447384985600], [[[1, 3], [2, 10], [3, 1], [6, 1], [8, 2]], 1827323/115579079884800], [[[1, 3], [2, 10], [3, 1], [6, 1], [10, 2]], 22212259/72236924928000], [[[1, 3], [2, 10], [3, 1], [6, 1], [12, 2]], 21241/34673723965440], [[[1, 3], [2, 10], [3, 1], [6, 1], [15, 1]], 4003/3611846246400], [[[1, 3], [2, 10], [3, 1], [6, 1], [20, 1]], 4003/2407897497600], [[[1, 3], [2, 10], [3, 1], [6, 1], [24, 1]], 24371/14447384985600], [[[1, 3], [2, 10], [3, 1], [6, 1], [30, 1]], 4003/3611846246400], [[[1, 3], [2, 10], [3, 1], [6, 2], [7, 1]], 598447/33710564966400], [[[1, 3], [2, 10], [3, 1], [6, 2], [9, 1]], 43369/2889476997120], [[[1, 3], [2, 10], [3, 1], [6, 2], [14, 1]], 294017/1348422598656], [[[1, 3], [2, 10], [3, 1], [6, 2], [18, 1]], 2866831/43342154956800], [[[1, 3], [2, 10], [3, 1], [6, 3], [8, 1]], 1907759/24766945689600], [[[1, 3], [2, 10], [3, 1], [6, 3], [10, 1]], 4246117/14447384985600], [[[1, 3], [2, 10], [3, 1], [6, 3], [12, 1]], 3519673/62412703137792], [[[1, 3], [2, 10], [3, 1], [7, 1], [8, 1]], 61/936404582400], [[[1, 3], [2, 10], [3, 1], [7, 1], [10, 1]], 1/464486400], [[[1, 3], [2, 10], [3, 1], [7, 1], [12, 1]], 367/5618427494400], [[[1, 3], [2, 10], [3, 1], [8, 1], [9, 1]], 869/4127824281600], [[[1, 3], [2, 10], [3, 1], [8, 1], [14, 1]], 16621/1872809164800], [[[1, 3], [2, 10], [3, 1], [8, 1], [18, 1]], 803/343985356800], [[[1, 3], [2, 10], [3, 1], [9, 1], [10, 1]], 5191/2006581248000], [[[1, 3], [2, 10], [3, 1], [9, 1], [12, 1]], 73/1444738498560], [[[1, 3], [2, 10], [3, 1], [10, 1], [14, 1]], 1/19353600], [[[1, 3], [2, 10], [3, 1], [10, 1], [18, 1]], 13/895795200], [[[1, 3], [2, 10], [3, 1], [12, 1], [14, 1]], 2437/1123685498880], [[[1, 3], [2, 10], [3, 1], [12, 1], [18, 1]], 12913/21671077478400], [[[1, 3], [2, 10], [3, 2], [4, 1], [6, 3]], 6929731/55477958344704], [[[1, 3], [2, 10], [3, 2], [4, 1], [9, 1]], 2803/14447384985600], [[[1, 3], [2, 10], [3, 2], [4, 1], [14, 1]], 19/2229534720], [[[1, 3], [2, 10], [3, 2], [4, 1], [18, 1]], 19/8599633920], [[[1, 3], [2, 10], [3, 2], [4, 2], [5, 1]], 48511/48157949952000], [[[1, 3], [2, 10], [3, 2], [4, 2], [6, 2]], 285573937/4438236667576320], [[[1, 3], [2, 10], [3, 2], [4, 2], [8, 1]], 205381/38526359961600], [[[1, 3], [2, 10], [3, 2], [4, 2], [10, 1]], 623/38220595200], [[[1, 3], [2, 10], [3, 2], [4, 2], [12, 1]], 2264809/1585084524134400], [[[1, 3], [2, 10], [3, 2], [4, 3], [6, 1]], 13339349/924632639078400], [[[1, 3], [2, 10], [3, 2], [5, 1], [6, 2]], 1778167/192631799808000], [[[1, 3], [2, 10], [3, 2], [5, 1], [8, 1]], 61/2006581248000], [[[1, 3], [2, 10], [3, 2], [5, 1], [10, 1]], 1/995328000], [[[1, 3], [2, 10], [3, 2], [5, 1], [12, 1]], 3301/96315899904000], [[[1, 3], [2, 10], [3, 2], [6, 1], [7, 1]], 11107/33710564966400], [[[1, 3], [2, 10], [3, 2], [6, 1], [9, 1]], 37711/43342154956800], [[[1, 3], [2, 10], [3, 2], [6, 1], [14, 1]], 922183/33710564966400], [[[1, 3], [2, 10], [3, 2], [6, 1], [18, 1]], 944879/130026464870400], [[[1, 3], [2, 10], [3, 2], [6, 2], [8, 1]], 2053879/44030125670400], [[[1, 3], [2, 10], [3, 2], [6, 2], [10, 1]], 129351191/577895399424000], [[[1, 3], [2, 10], [3, 2], [6, 2], [12, 1]], 197041/12383472844800], [[[1, 3], [2, 10], [3, 2], [8, 1], [10, 1]], 1/199065600], [[[1, 3], [2, 10], [3, 2], [8, 1], [12, 1]], 1493/22015062835200], [[[1, 3], [2, 10], [3, 2], [10, 1], [12, 1]], 15271/10701766656000], [[[1, 3], [2, 10], [3, 3], [4, 1], [5, 1]], 13/15479341056000], [[[1, 3], [2, 10], [3, 3], [4, 1], [6, 2]], 134728411/4160846875852800], [[[1, 3], [2, 10], [3, 3], [4, 1], [8, 1]], 7603/173368619827200], [[[1, 3], [2, 10], [3, 3], [4, 1], [10, 1]], 43969/15479341056000], [[[1, 3], [2, 10], [3, 3], [4, 1], [12, 1]], 78593/2080423437926400], [[[1, 3], [2, 10], [3, 3], [4, 2], [6, 1]], 50398727/6241270313779200], [[[1, 3], [2, 10], [3, 3], [5, 1], [6, 1]], 3889/24078974976000], [[[1, 3], [2, 10], [3, 3], [6, 1], [8, 1]], 35573/74300837068800], [[[1, 3], [2, 10], [3, 3], [6, 1], [10, 1]], 318433/26005292974080], [[[1, 3], [2, 10], [3, 3], [6, 1], [12, 1]], 98141/312063515688960], [[[1, 3], [2, 10], [3, 4], [4, 1], [6, 1]], 51347851/124825406275584000], [[[1, 3], [2, 10], [4, 1], [5, 1], [6, 3]], 432323/20639121408000], [[[1, 3], [2, 10], [4, 1], [5, 1], [7, 1]], 61/780337152000], [[[1, 3], [2, 10], [4, 1], [5, 1], [9, 1]], 13/214990848000], [[[1, 3], [2, 10], [4, 1], [5, 1], [14, 1]], 26701/1560674304000], [[[1, 3], [2, 10], [4, 1], [5, 1], [18, 1]], 1283/286654464000], [[[1, 3], [2, 10], [4, 1], [5, 2], [6, 1]], 347531/481579499520000], [[[1, 3], [2, 10], [4, 1], [6, 1], [8, 2]], 6749609/154105439846400], [[[1, 3], [2, 10], [4, 1], [6, 1], [10, 2]], 4841833/13759414272000], [[[1, 3], [2, 10], [4, 1], [6, 1], [12, 2]], 62047/46231631953920], [[[1, 3], [2, 10], [4, 1], [6, 1], [15, 1]], 105611/24078974976000], [[[1, 3], [2, 10], [4, 1], [6, 1], [16, 1]], 1/477757440], [[[1, 3], [2, 10], [4, 1], [6, 1], [20, 1]], 105611/16052649984000], [[[1, 3], [2, 10], [4, 1], [6, 1], [24, 1]], 105611/19263179980800], [[[1, 3], [2, 10], [4, 1], [6, 1], [30, 1]], 105611/24078974976000], [[[1, 3], [2, 10], [4, 1], [6, 2], [7, 1]], 41/1672151040], [[[1, 3], [2, 10], [4, 1], [6, 2], [9, 1]], 241/12899450880], [[[1, 3], [2, 10], [4, 1], [6, 2], [14, 1]], 1181/5016453120], [[[1, 3], [2, 10], [4, 1], [6, 2], [18, 1]], 1095097/14447384985600], [[[1, 3], [2, 10], [4, 1], [6, 3], [8, 1]], 65304257/693474479308800], [[[1, 3], [2, 10], [4, 1], [6, 3], [10, 1]], 4789739/20639121408000], [[[1, 3], [2, 10], [4, 1], [6, 3], [12, 1]], 48107401/693474479308800], [[[1, 3], [2, 10], [4, 1], [7, 1], [8, 1]], 10181/2497078886400], [[[1, 3], [2, 10], [4, 1], [7, 1], [10, 1]], 24253/780337152000], [[[1, 3], [2, 10], [4, 1], [7, 1], [12, 1]], 61/468202291200], [[[1, 3], [2, 10], [4, 1], [8, 1], [9, 1]], 7603/2407897497600], [[[1, 3], [2, 10], [4, 1], [8, 1], [14, 1]], 42431/416179814400], [[[1, 3], [2, 10], [4, 1], [8, 1], [18, 1]], 274817/9631589990400], [[[1, 3], [2, 10], [4, 1], [9, 1], [10, 1]], 5089/214990848000], [[[1, 3], [2, 10], [4, 1], [9, 1], [12, 1]], 13/128994508800], [[[1, 3], [2, 10], [4, 1], [10, 1], [14, 1]], 517093/1560674304000], [[[1, 3], [2, 10], [4, 1], [10, 1], [18, 1]], 29099/286654464000], [[[1, 3], [2, 10], [4, 1], [12, 1], [14, 1]], 4021/936404582400], [[[1, 3], [2, 10], [4, 1], [12, 1], [18, 1]], 203/171992678400], [[[1, 3], [2, 10], [4, 2], [5, 1], [6, 2]], 7061/343985356800], [[[1, 3], [2, 10], [4, 2], [5, 1], [8, 1]], 49211/7134511104000], [[[1, 3], [2, 10], [4, 2], [5, 1], [10, 1]], 63113/2229534720000], [[[1, 3], [2, 10], [4, 2], [5, 1], [12, 1]], 2543/24078974976000], [[[1, 3], [2, 10], [4, 2], [6, 1], [7, 1]], 207371/22473709977600], [[[1, 3], [2, 10], [4, 2], [6, 1], [9, 1]], 615011/86684309913600], [[[1, 3], [2, 10], [4, 2], [6, 1], [14, 1]], 761/4161798144], [[[1, 3], [2, 10], [4, 2], [6, 1], [18, 1]], 2449883/46231631953920], [[[1, 3], [2, 10], [4, 2], [6, 2], [8, 1]], 261029/1926317998080], [[[1, 3], [2, 10], [4, 2], [6, 2], [10, 1]], 46939/200658124800], [[[1, 3], [2, 10], [4, 2], [6, 2], [12, 1]], 2396557/35224100536320], [[[1, 3], [2, 10], [4, 2], [8, 1], [10, 1]], 1149023/7134511104000], [[[1, 3], [2, 10], [4, 2], [8, 1], [12, 1]], 20413/3852635996160], [[[1, 3], [2, 10], [4, 2], [10, 1], [12, 1]], 31939/891813888000], [[[1, 3], [2, 10], [4, 3], [5, 1], [6, 1]], 263/29727129600], [[[1, 3], [2, 10], [4, 3], [6, 1], [8, 1]], 7638913/102736959897600], [[[1, 3], [2, 10], [4, 3], [6, 1], [10, 1]], 5185703/64210599936000], [[[1, 3], [2, 10], [4, 3], [6, 1], [12, 1]], 9775687/462316319539200], [[[1, 3], [2, 10], [5, 1], [6, 1], [7, 1]], 1/1393459200], [[[1, 3], [2, 10], [5, 1], [6, 1], [9, 1]], 1/1791590400], [[[1, 3], [2, 10], [5, 1], [6, 1], [14, 1]], 29/1045094400], [[[1, 3], [2, 10], [5, 1], [6, 1], [18, 1]], 27401/3611846246400], [[[1, 3], [2, 10], [5, 1], [6, 2], [8, 1]], 1/149299200], [[[1, 3], [2, 10], [5, 1], [6, 2], [10, 1]], 217/4478976000], [[[1, 3], [2, 10], [5, 1], [6, 2], [12, 1]], 21877/3852635996160], [[[1, 3], [2, 10], [5, 1], [8, 1], [10, 1]], 1/73728000], [[[1, 3], [2, 10], [6, 1], [7, 1], [8, 1]], 6221/936404582400], [[[1, 3], [2, 10], [6, 1], [7, 1], [10, 1]], 28933/780337152000], [[[1, 3], [2, 10], [6, 1], [7, 1], [12, 1]], 4387/5618427494400], [[[1, 3], [2, 10], [6, 1], [8, 1], [9, 1]], 1313/257989017600], [[[1, 3], [2, 10], [6, 1], [8, 1], [14, 1]], 54727/624269721600], [[[1, 3], [2, 10], [6, 1], [8, 1], [18, 1]], 108377/4127824281600], [[[1, 3], [2, 10], [6, 1], [9, 1], [10, 1]], 1997/72236924928], [[[1, 3], [2, 10], [6, 1], [9, 1], [12, 1]], 12913/21671077478400], [[[1, 3], [2, 10], [6, 1], [10, 1], [14, 1]], 622493/2341011456000], [[[1, 3], [2, 10], [6, 1], [10, 1], [18, 1]], 75577/859963392000], [[[1, 3], [2, 10], [6, 1], [12, 1], [14, 1]], 19181/1872809164800], [[[1, 3], [2, 10], [6, 1], [12, 1], [18, 1]], 2447/802632499200], [[[1, 3], [2, 10], [6, 2], [8, 1], [10, 1]], 582613/4013162496000], [[[1, 3], [2, 10], [6, 2], [8, 1], [12, 1]], 17261/880602513408], [[[1, 3], [2, 10], [6, 2], [10, 1], [12, 1]], 2099677/32105299968000], [[[1, 3], [2, 12], [3, 1], [4, 1], [6, 3]], 3286247/520105859481600], [[[1, 3], [2, 12], [3, 1], [4, 1], [7, 1]], 1/175575859200], [[[1, 3], [2, 12], [3, 1], [4, 1], [9, 1]], 3443/346737239654400], [[[1, 3], [2, 12], [3, 1], [4, 1], [14, 1]], 1067/2809213747200], [[[1, 3], [2, 12], [3, 1], [4, 1], [18, 1]], 293/2889476997120], [[[1, 3], [2, 12], [3, 1], [4, 2], [5, 1]], 38959/1541054398464000], [[[1, 3], [2, 12], [3, 1], [4, 2], [6, 2]], 683316299/199720650040934400], [[[1, 3], [2, 12], [3, 1], [4, 2], [8, 1]], 171467/616421759385600], [[[1, 3], [2, 12], [3, 1], [4, 2], [10, 1]], 256073/137594142720000], [[[1, 3], [2, 12], [3, 1], [4, 2], [12, 1]], 370249/11095591668940800], [[[1, 3], [2, 12], [3, 1], [4, 3], [6, 1]], 914863/924632639078400], [[[1, 3], [2, 12], [3, 1], [5, 1], [6, 2]], 91711/371504185344000], [[[1, 3], [2, 12], [3, 1], [5, 1], [8, 1]], 67/16052649984000], [[[1, 3], [2, 12], [3, 1], [5, 1], [10, 1]], 73/1393459200000], [[[1, 3], [2, 12], [3, 1], [5, 1], [12, 1]], 1/5350883328000], [[[1, 3], [2, 12], [3, 1], [6, 1], [7, 1]], 37/1203948748800], [[[1, 3], [2, 12], [3, 1], [6, 1], [9, 1]], 2861/86684309913600], [[[1, 3], [2, 12], [3, 1], [6, 1], [14, 1]], 2053/1685528248320], [[[1, 3], [2, 12], [3, 1], [6, 1], [18, 1]], 24659/74300837068800], [[[1, 3], [2, 12], [3, 1], [6, 2], [8, 1]], 14675/9246326390784], [[[1, 3], [2, 12], [3, 1], [6, 2], [10, 1]], 2273051/240789749760000], [[[1, 3], [2, 12], [3, 1], [6, 2], [12, 1]], 9481069/24965081255116800], [[[1, 3], [2, 12], [3, 1], [8, 1], [10, 1]], 709/3210529996800], [[[1, 3], [2, 12], [3, 1], [8, 1], [12, 1]], 191/38526359961600], [[[1, 3], [2, 12], [3, 1], [10, 1], [12, 1]], 7753/120394874880000], [[[1, 3], [2, 12], [3, 2], [4, 1], [5, 1]], 131/48157949952000], [[[1, 3], [2, 12], [3, 2], [4, 1], [6, 2]], 1483093/739706111262720], [[[1, 3], [2, 12], [3, 2], [4, 1], [8, 1]], 43/7338354278400], [[[1, 3], [2, 12], [3, 2], [4, 1], [10, 1]], 3193/16052649984000], [[[1, 3], [2, 12], [3, 2], [4, 1], [12, 1]], 8219/1849265278156800], [[[1, 3], [2, 12], [3, 2], [4, 2], [6, 1]], 68323/110955916689408], [[[1, 3], [2, 12], [3, 2], [5, 1], [6, 1]], 251/16052649984000], [[[1, 3], [2, 12], [3, 2], [6, 1], [8, 1]], 119/2751882854400], [[[1, 3], [2, 12], [3, 2], [6, 1], [10, 1]], 4121/5778953994240], [[[1, 3], [2, 12], [3, 2], [6, 1], [12, 1]], 30151/1386948958617600], [[[1, 3], [2, 12], [3, 3], [4, 1], [6, 1]], 12947/520105859481600], [[[1, 3], [2, 12], [4, 1], [5, 1], [6, 2]], 20081/48157949952000], [[[1, 3], [2, 12], [4, 1], [5, 1], [8, 1]], 649/42807066624000], [[[1, 3], [2, 12], [4, 1], [5, 1], [10, 1]], 467/1114767360000], [[[1, 3], [2, 12], [4, 1], [5, 1], [12, 1]], 1/2675441664000], [[[1, 3], [2, 12], [4, 1], [6, 1], [7, 1]], 437/1872809164800], [[[1, 3], [2, 12], [4, 1], [6, 1], [9, 1]], 2593/14447384985600], [[[1, 3], [2, 12], [4, 1], [6, 1], [14, 1]], 989/200658124800], [[[1, 3], [2, 12], [4, 1], [6, 1], [18, 1]], 667/475634073600], [[[1, 3], [2, 12], [4, 1], [6, 2], [8, 1]], 2271611/693474479308800], [[[1, 3], [2, 12], [4, 1], [6, 2], [10, 1]], 635801/48157949952000], [[[1, 3], [2, 12], [4, 1], [6, 2], [12, 1]], 2418011/1849265278156800], [[[1, 3], [2, 12], [4, 1], [8, 1], [10, 1]], 347243/107017666560000], [[[1, 3], [2, 12], [4, 1], [8, 1], [12, 1]], 1/95126814720], [[[1, 3], [2, 12], [4, 1], [10, 1], [12, 1]], 41/321052999680], [[[1, 3], [2, 12], [4, 2], [5, 1], [6, 1]], 41737/192631799808000], [[[1, 3], [2, 12], [4, 2], [6, 1], [8, 1]], 201481/88060251340800], [[[1, 3], [2, 12], [4, 2], [6, 1], [10, 1]], 924949/128421199872000], [[[1, 3], [2, 12], [4, 2], [6, 1], [12, 1]], 292211/462316319539200], [[[1, 3], [2, 12], [5, 1], [6, 1], [8, 1]], 281/5350883328000], [[[1, 3], [2, 12], [5, 1], [6, 1], [10, 1]], 1/1224720000], [[[1, 3], [2, 12], [5, 1], [6, 1], [12, 1]], 187/24078974976000], [[[1, 3], [2, 12], [6, 1], [8, 1], [10, 1]], 4139/1146617856000], [[[1, 3], [2, 12], [6, 1], [8, 1], [12, 1]], 313/4815794995200], [[[1, 3], [2, 12], [6, 1], [10, 1], [12, 1]], 3259/8026324992000], [[[1, 3], [2, 14], [3, 1], [4, 1], [5, 1]], 31/240789749760000], [[[1, 3], [2, 14], [3, 1], [4, 1], [6, 2]], 1333301/20804234379264000], [[[1, 3], [2, 14], [3, 1], [4, 1], [8, 1]], 67/97844723712000], [[[1, 3], [2, 14], [3, 1], [4, 1], [10, 1]], 19393/1926317998080000], [[[1, 3], [2, 14], [3, 1], [4, 1], [12, 1]], 41/288947699712000], [[[1, 3], [2, 14], [3, 1], [4, 2], [6, 1]], 11066093/499301625102336000], [[[1, 3], [2, 14], [3, 1], [5, 1], [6, 1]], 10303/26005292974080000], [[[1, 3], [2, 14], [3, 1], [6, 1], [8, 1]], 18847/6934744793088000], [[[1, 3], [2, 14], [3, 1], [6, 1], [10, 1]], 10151/288947699712000], [[[1, 3], [2, 14], [3, 1], [6, 1], [12, 1]], 6371/12482540627558400], [[[1, 3], [2, 14], [3, 2], [4, 1], [6, 1]], 126659/55477958344704000], [[[1, 3], [2, 14], [4, 1], [5, 1], [6, 1]], 667/361184624640000], [[[1, 3], [2, 14], [4, 1], [6, 1], [8, 1]], 190063/7925422620672000], [[[1, 3], [2, 14], [4, 1], [6, 1], [10, 1]], 393247/2311581597696000], [[[1, 3], [2, 14], [4, 1], [6, 1], [12, 1]], 11999/3962711310336000], [[[1, 3], [2, 16], [3, 1], [4, 1], [6, 1]], 117463/1165037125238784000], [[[1, 3], [3, 1], [4, 1], [8, 3], [9, 1]], 1/2654208], [[[1, 3], [3, 1], [4, 2], [5, 1], [12, 3]], 7/7464960], [[[1, 3], [3, 1], [4, 2], [5, 1], [28, 1]], 1/6720], [[[1, 3], [3, 1], [4, 2], [5, 1], [36, 1]], 1/25920], [[[1, 3], [3, 1], [4, 2], [5, 2], [6, 4]], 1/107495424000], [[[1, 3], [3, 1], [4, 2], [5, 2], [8, 2]], 1/132710400], [[[1, 3], [3, 1], [4, 2], [5, 2], [10, 2]], 301/414720000], [[[1, 3], [3, 1], [4, 2], [5, 2], [12, 2]], 17/199065600], [[[1, 3], [3, 1], [4, 2], [5, 2], [15, 1]], 1/20736000], [[[1, 3], [3, 1], [4, 2], [5, 2], [20, 1]], 1/13824000], [[[1, 3], [3, 1], [4, 2], [5, 2], [24, 1]], 1/16588800], [[[1, 3], [3, 1], [4, 2], [5, 2], [30, 1]], 1/20736000], [[[1, 3], [3, 1], [4, 2], [5, 3], [12, 1]], 1/5184000], [[[1, 3], [3, 1], [4, 2], [6, 2], [12, 3]], 209/859963392], [[[1, 3], [3, 1], [4, 2], [6, 2], [18, 2]], 1/6718464], [[[1, 3], [3, 1], [4, 2], [6, 2], [28, 1]], 1/96768], [[[1, 3], [3, 1], [4, 2], [6, 2], [36, 1]], 1/373248], [[[1, 3], [3, 1], [4, 2], [6, 4], [8, 2]], 1/34398535680], [[[1, 3], [3, 1], [4, 2], [6, 4], [10, 2]], 1/107495424000], [[[1, 3], [3, 1], [4, 2], [6, 4], [12, 2]], 1727/51597803520], [[[1, 3], [3, 1], [4, 2], [6, 4], [15, 1]], 1/5374771200], [[[1, 3], [3, 1], [4, 2], [6, 4], [20, 1]], 1/3583180800], [[[1, 3], [3, 1], [4, 2], [6, 4], [24, 1]], 1/4299816960], [[[1, 3], [3, 1], [4, 2], [6, 4], [30, 1]], 1/5374771200], [[[1, 3], [3, 1], [4, 2], [6, 5], [18, 1]], 1/9674588160], [[[1, 3], [3, 1], [4, 2], [6, 6], [12, 1]], 11/154793410560], [[[1, 3], [3, 1], [4, 2], [8, 2], [10, 2]], 1/132710400], [[[1, 3], [3, 1], [4, 2], [8, 2], [12, 2]], 209/63700992], [[[1, 3], [3, 1], [4, 2], [8, 2], [15, 1]], 1/6635520], [[[1, 3], [3, 1], [4, 2], [8, 2], [20, 1]], 1/4423680], [[[1, 3], [3, 1], [4, 2], [8, 2], [24, 1]], 11/1769472], [[[1, 3], [3, 1], [4, 2], [8, 2], [30, 1]], 1/6635520], [[[1, 3], [3, 1], [4, 2], [9, 2], [12, 1]], 1/839808], [[[1, 3], [3, 1], [4, 2], [10, 2], [12, 2]], 17/199065600], [[[1, 3], [3, 1], [4, 2], [10, 2], [15, 1]], 1/20736000], [[[1, 3], [3, 1], [4, 2], [10, 2], [20, 1]], 1/13824000], [[[1, 3], [3, 1], [4, 2], [10, 2], [24, 1]], 1/16588800], [[[1, 3], [3, 1], [4, 2], [10, 2], [30, 1]], 1/20736000], [[[1, 3], [3, 1], [4, 2], [12, 1], [28, 1]], 1/16128], [[[1, 3], [3, 1], [4, 2], [12, 1], [36, 1]], 1/41472], [[[1, 3], [3, 1], [4, 2], [12, 2], [15, 1]], 17/9953280], [[[1, 3], [3, 1], [4, 2], [12, 2], [20, 1]], 209/6635520], [[[1, 3], [3, 1], [4, 2], [12, 2], [24, 1]], 125/7962624], [[[1, 3], [3, 1], [4, 2], [12, 2], [30, 1]], 17/9953280], [[[1, 3], [3, 1], [4, 2], [15, 1], [20, 1]], 1/691200], [[[1, 3], [3, 1], [4, 2], [15, 1], [24, 1]], 1/829440], [[[1, 3], [3, 1], [4, 2], [15, 1], [30, 1]], 1/64800], [[[1, 3], [3, 1], [4, 2], [20, 1], [24, 1]], 1/552960], [[[1, 3], [3, 1], [4, 2], [20, 1], [30, 1]], 1/691200], [[[1, 3], [3, 1], [4, 2], [24, 1], [30, 1]], 1/829440], [[[1, 3], [3, 1], [4, 4], [5, 1], [6, 4]], 1/859963392000], [[[1, 3], [3, 1], [4, 4], [5, 1], [8, 2]], 241/1061683200], [[[1, 3], [3, 1], [4, 4], [5, 1], [10, 2]], 1/3317760000], [[[1, 3], [3, 1], [4, 4], [5, 1], [12, 2]], 3841/1592524800], [[[1, 3], [3, 1], [4, 4], [5, 1], [15, 1]], 1/165888000], [[[1, 3], [3, 1], [4, 4], [5, 1], [20, 1]], 77/22118400], [[[1, 3], [3, 1], [4, 4], [5, 1], [24, 1]], 1/132710400], [[[1, 3], [3, 1], [4, 4], [5, 1], [30, 1]], 1/165888000], [[[1, 3], [3, 1], [4, 4], [5, 2], [6, 2]], 1/47775744000], [[[1, 3], [3, 1], [4, 4], [5, 2], [12, 1]], 161/7962624000], [[[1, 3], [3, 1], [4, 4], [6, 2], [8, 2]], 241/15288238080], [[[1, 3], [3, 1], [4, 4], [6, 2], [10, 2]], 1/47775744000], [[[1, 3], [3, 1], [4, 4], [6, 2], [12, 2]], 4807/22932357120], [[[1, 3], [3, 1], [4, 4], [6, 2], [15, 1]], 1/2388787200], [[[1, 3], [3, 1], [4, 4], [6, 2], [20, 1]], 77/318504960], [[[1, 3], [3, 1], [4, 4], [6, 2], [24, 1]], 1/1911029760], [[[1, 3], [3, 1], [4, 4], [6, 2], [30, 1]], 1/2388787200], [[[1, 3], [3, 1], [4, 4], [6, 3], [18, 1]], 1/4299816960], [[[1, 3], [3, 1], [4, 4], [6, 4], [12, 1]], 251/2063912140800], [[[1, 3], [3, 1], [4, 4], [7, 1], [9, 1]], 1/139345920], [[[1, 3], [3, 1], [4, 4], [8, 1], [16, 1]], 1/294912], [[[1, 3], [3, 1], [4, 4], [8, 2], [12, 1]], 2321/2548039680], [[[1, 3], [3, 1], [4, 4], [10, 2], [12, 1]], 161/7962624000], [[[1, 3], [3, 1], [4, 4], [12, 1], [15, 1]], 161/398131200], [[[1, 3], [3, 1], [4, 4], [12, 1], [20, 1]], 493/53084160], [[[1, 3], [3, 1], [4, 4], [12, 1], [24, 1]], 1121/318504960], [[[1, 3], [3, 1], [4, 4], [12, 1], [30, 1]], 161/398131200], [[[1, 3], [3, 1], [4, 5], [8, 1], [9, 1]], 1/637009920], [[[1, 3], [3, 1], [4, 6], [5, 1], [12, 1]], 19/1194393600], [[[1, 3], [3, 1], [4, 6], [6, 1], [18, 1]], 1/2866544640], [[[1, 3], [3, 1], [4, 6], [6, 2], [12, 1]], 161/137594142720], [[[1, 3], [3, 1], [5, 1], [6, 2], [12, 3]], 1/9953280], [[[1, 3], [3, 1], [5, 1], [6, 2], [18, 2]], 1/699840], [[[1, 3], [3, 1], [5, 1], [6, 4], [8, 2]], 1/3583180800], [[[1, 3], [3, 1], [5, 1], [6, 4], [10, 2]], 1/11197440000], [[[1, 3], [3, 1], [5, 1], [6, 4], [12, 2]], 271/5374771200], [[[1, 3], [3, 1], [5, 1], [6, 4], [15, 1]], 1/559872000], [[[1, 3], [3, 1], [5, 1], [6, 4], [20, 1]], 1/373248000], [[[1, 3], [3, 1], [5, 1], [6, 4], [24, 1]], 1/447897600], [[[1, 3], [3, 1], [5, 1], [6, 4], [30, 1]], 1/559872000], [[[1, 3], [3, 1], [5, 1], [6, 5], [18, 1]], 1/1007769600], [[[1, 3], [3, 1], [5, 1], [6, 6], [12, 1]], 1/5374771200], [[[1, 3], [3, 1], [5, 1], [8, 2], [10, 2]], 1/13824000], [[[1, 3], [3, 1], [5, 1], [8, 2], [12, 2]], 1/6635520], [[[1, 3], [3, 1], [5, 1], [8, 2], [15, 1]], 1/691200], [[[1, 3], [3, 1], [5, 1], [8, 2], [20, 1]], 1/460800], [[[1, 3], [3, 1], [5, 1], [8, 2], [24, 1]], 11/184320], [[[1, 3], [3, 1], [5, 1], [8, 2], [30, 1]], 1/691200], [[[1, 3], [3, 1], [5, 1], [10, 2], [12, 2]], 1/20736000], [[[1, 3], [3, 1], [5, 1], [10, 2], [15, 1]], 1/2160000], [[[1, 3], [3, 1], [5, 1], [10, 2], [20, 1]], 1/1440000], [[[1, 3], [3, 1], [5, 1], [10, 2], [24, 1]], 1/1728000], [[[1, 3], [3, 1], [5, 1], [10, 2], [30, 1]], 1/2160000], [[[1, 3], [3, 1], [5, 1], [12, 1], [36, 1]], 1/12960], [[[1, 3], [3, 1], [5, 1], [12, 2], [15, 1]], 1/1036800], [[[1, 3], [3, 1], [5, 1], [12, 2], [20, 1]], 1/691200], [[[1, 3], [3, 1], [5, 1], [12, 2], [24, 1]], 13/829440], [[[1, 3], [3, 1], [5, 1], [12, 2], [30, 1]], 1/1036800], [[[1, 3], [3, 1], [5, 1], [15, 1], [20, 1]], 1/72000], [[[1, 3], [3, 1], [5, 1], [15, 1], [24, 1]], 1/86400], [[[1, 3], [3, 1], [5, 1], [15, 1], [30, 1]], 1/6750], [[[1, 3], [3, 1], [5, 1], [20, 1], [24, 1]], 1/57600], [[[1, 3], [3, 1], [5, 1], [20, 1], [30, 1]], 1/72000], [[[1, 3], [3, 1], [5, 1], [24, 1], [30, 1]], 1/86400], [[[1, 3], [3, 1], [5, 2], [6, 2], [8, 2]], 1/199065600], [[[1, 3], [3, 1], [5, 2], [6, 2], [10, 2]], 301/622080000], [[[1, 3], [3, 1], [5, 2], [6, 2], [12, 2]], 7/298598400], [[[1, 3], [3, 1], [5, 2], [6, 2], [15, 1]], 1/31104000], [[[1, 3], [3, 1], [5, 2], [6, 2], [20, 1]], 1/20736000], [[[1, 3], [3, 1], [5, 2], [6, 2], [24, 1]], 1/24883200], [[[1, 3], [3, 1], [5, 2], [6, 2], [30, 1]], 1/31104000], [[[1, 3], [3, 1], [5, 2], [6, 3], [18, 1]], 1/55987200], [[[1, 3], [3, 1], [5, 2], [6, 4], [12, 1]], 91/26873856000], [[[1, 3], [3, 1], [5, 2], [7, 1], [9, 1]], 1/1814400], [[[1, 3], [3, 1], [5, 2], [8, 2], [12, 1]], 1/33177600], [[[1, 3], [3, 1], [5, 2], [10, 2], [12, 1]], 301/103680000], [[[1, 3], [3, 1], [5, 2], [12, 1], [15, 1]], 1/5184000], [[[1, 3], [3, 1], [5, 2], [12, 1], [20, 1]], 1/3456000], [[[1, 3], [3, 1], [5, 2], [12, 1], [24, 1]], 1/4147200], [[[1, 3], [3, 1], [5, 2], [12, 1], [30, 1]], 1/5184000], [[[1, 3], [3, 1], [5, 3], [6, 1], [18, 1]], 1/3888000], [[[1, 3], [3, 1], [5, 3], [6, 2], [12, 1]], 1/20736000], [[[1, 3], [3, 1], [6, 1], [9, 2], [18, 1]], 7/157464], [[[1, 3], [3, 1], [6, 1], [12, 3], [18, 1]], 1/4478976], [[[1, 3], [3, 1], [6, 2], [8, 2], [10, 2]], 1/199065600], [[[1, 3], [3, 1], [6, 2], [8, 2], [12, 2]], 7/95551488], [[[1, 3], [3, 1], [6, 2], [8, 2], [15, 1]], 1/9953280], [[[1, 3], [3, 1], [6, 2], [8, 2], [20, 1]], 1/6635520], [[[1, 3], [3, 1], [6, 2], [8, 2], [24, 1]], 11/2654208], [[[1, 3], [3, 1], [6, 2], [8, 2], [30, 1]], 1/9953280], [[[1, 3], [3, 1], [6, 2], [9, 2], [12, 1]], 1/3359232], [[[1, 3], [3, 1], [6, 2], [10, 2], [12, 2]], 7/298598400], [[[1, 3], [3, 1], [6, 2], [10, 2], [15, 1]], 1/31104000], [[[1, 3], [3, 1], [6, 2], [10, 2], [20, 1]], 1/20736000], [[[1, 3], [3, 1], [6, 2], [10, 2], [24, 1]], 1/24883200], [[[1, 3], [3, 1], [6, 2], [10, 2], [30, 1]], 1/31104000], [[[1, 3], [3, 1], [6, 2], [12, 1], [18, 2]], 1/1679616], [[[1, 3], [3, 1], [6, 2], [12, 1], [36, 1]], 1/186624], [[[1, 3], [3, 1], [6, 2], [12, 2], [15, 1]], 7/14929920], [[[1, 3], [3, 1], [6, 2], [12, 2], [20, 1]], 7/9953280], [[[1, 3], [3, 1], [6, 2], [12, 2], [24, 1]], 19/11943936], [[[1, 3], [3, 1], [6, 2], [12, 2], [30, 1]], 7/14929920], [[[1, 3], [3, 1], [6, 2], [15, 1], [20, 1]], 1/1036800], [[[1, 3], [3, 1], [6, 2], [15, 1], [24, 1]], 1/1244160], [[[1, 3], [3, 1], [6, 2], [15, 1], [30, 1]], 1/97200], [[[1, 3], [3, 1], [6, 2], [20, 1], [24, 1]], 1/829440], [[[1, 3], [3, 1], [6, 2], [20, 1], [30, 1]], 1/1036800], [[[1, 3], [3, 1], [6, 2], [24, 1], [30, 1]], 1/1244160], [[[1, 3], [3, 1], [6, 3], [8, 2], [18, 1]], 1/17915904], [[[1, 3], [3, 1], [6, 3], [10, 2], [18, 1]], 1/55987200], [[[1, 3], [3, 1], [6, 3], [12, 2], [18, 1]], 7/26873856], [[[1, 3], [3, 1], [6, 3], [15, 1], [18, 1]], 1/2799360], [[[1, 3], [3, 1], [6, 3], [18, 1], [20, 1]], 1/1866240], [[[1, 3], [3, 1], [6, 3], [18, 1], [24, 1]], 1/2239488], [[[1, 3], [3, 1], [6, 3], [18, 1], [30, 1]], 1/2799360], [[[1, 3], [3, 1], [6, 4], [7, 1], [9, 1]], 1/470292480], [[[1, 3], [3, 1], [6, 4], [8, 2], [12, 1]], 91/8599633920], [[[1, 3], [3, 1], [6, 4], [10, 2], [12, 1]], 91/26873856000], [[[1, 3], [3, 1], [6, 4], [12, 1], [15, 1]], 91/1343692800], [[[1, 3], [3, 1], [6, 4], [12, 1], [20, 1]], 91/895795200], [[[1, 3], [3, 1], [6, 4], [12, 1], [24, 1]], 91/1074954240], [[[1, 3], [3, 1], [6, 4], [12, 1], [30, 1]], 91/1343692800], [[[1, 3], [3, 1], [6, 5], [12, 1], [18, 1]], 91/2418647040], [[[1, 3], [3, 1], [7, 1], [8, 2], [9, 1]], 1/580608], [[[1, 3], [3, 1], [7, 1], [9, 1], [10, 2]], 1/1814400], [[[1, 3], [3, 1], [7, 1], [9, 1], [12, 2]], 1/870912], [[[1, 3], [3, 1], [7, 1], [9, 1], [15, 1]], 1/90720], [[[1, 3], [3, 1], [7, 1], [9, 1], [20, 1]], 1/60480], [[[1, 3], [3, 1], [7, 1], [9, 1], [24, 1]], 1/72576], [[[1, 3], [3, 1], [7, 1], [9, 1], [30, 1]], 1/90720], [[[1, 3], [3, 1], [8, 2], [10, 2], [12, 1]], 1/33177600], [[[1, 3], [3, 1], [8, 2], [12, 1], [15, 1]], 1/1658880], [[[1, 3], [3, 1], [8, 2], [12, 1], [20, 1]], 1/1105920], [[[1, 3], [3, 1], [8, 2], [12, 1], [24, 1]], 11/442368], [[[1, 3], [3, 1], [8, 2], [12, 1], [30, 1]], 1/1658880], [[[1, 3], [3, 1], [10, 2], [12, 1], [15, 1]], 1/5184000], [[[1, 3], [3, 1], [10, 2], [12, 1], [20, 1]], 1/3456000], [[[1, 3], [3, 1], [10, 2], [12, 1], [24, 1]], 1/4147200], [[[1, 3], [3, 1], [10, 2], [12, 1], [30, 1]], 1/5184000], [[[1, 3], [3, 1], [12, 1], [15, 1], [20, 1]], 1/172800], [[[1, 3], [3, 1], [12, 1], [15, 1], [24, 1]], 1/207360], [[[1, 3], [3, 1], [12, 1], [15, 1], [30, 1]], 1/16200], [[[1, 3], [3, 1], [12, 1], [20, 1], [24, 1]], 1/138240], [[[1, 3], [3, 1], [12, 1], [20, 1], [30, 1]], 1/172800], [[[1, 3], [3, 1], [12, 1], [24, 1], [30, 1]], 1/207360], [[[1, 3], [3, 2], [4, 1], [6, 2], [8, 3]], 1/84934656], [[[1, 3], [3, 2], [4, 1], [6, 6], [8, 1]], 1/68797071360], [[[1, 3], [3, 2], [4, 1], [8, 1], [9, 2]], 1/1492992], [[[1, 3], [3, 2], [4, 1], [8, 1], [12, 3]], 1/21233664], [[[1, 3], [3, 2], [4, 1], [8, 3], [12, 1]], 1/14155776], [[[1, 3], [3, 2], [4, 2], [5, 2], [9, 1]], 1/37324800], [[[1, 3], [3, 2], [4, 2], [6, 4], [9, 1]], 1/9674588160], [[[1, 3], [3, 2], [4, 2], [7, 1], [12, 2]], 1/1161216], [[[1, 3], [3, 2], [4, 2], [8, 2], [9, 1]], 1/11943936], [[[1, 3], [3, 2], [4, 2], [9, 1], [10, 2]], 1/37324800], [[[1, 3], [3, 2], [4, 2], [9, 1], [12, 2]], 1735/5971968], [[[1, 3], [3, 2], [4, 2], [9, 1], [15, 1]], 1/1866240], [[[1, 3], [3, 2], [4, 2], [9, 1], [20, 1]], 1/1244160], [[[1, 3], [3, 2], [4, 2], [9, 1], [24, 1]], 1/1492992], [[[1, 3], [3, 2], [4, 2], [9, 1], [30, 1]], 1/1866240], [[[1, 3], [3, 2], [4, 3], [8, 1], [12, 2]], 1/5308416], [[[1, 3], [3, 2], [4, 4], [5, 1], [9, 1]], 1/298598400], [[[1, 3], [3, 2], [4, 4], [6, 2], [7, 1]], 1/4459069440], [[[1, 3], [3, 2], [4, 4], [6, 2], [9, 1]], 1/3439853568], [[[1, 3], [3, 2], [4, 4], [7, 1], [12, 1]], 1/743178240], [[[1, 3], [3, 2], [4, 4], [9, 1], [12, 1]], 43/191102976], [[[1, 3], [3, 2], [4, 5], [6, 2], [8, 1]], 1/20384317440], [[[1, 3], [3, 2], [4, 5], [8, 1], [12, 1]], 1/3397386240], [[[1, 3], [3, 2], [5, 1], [6, 4], [9, 1]], 1/1007769600], [[[1, 3], [3, 2], [5, 1], [8, 2], [9, 1]], 1/1244160], [[[1, 3], [3, 2], [5, 1], [9, 1], [10, 2]], 1/3888000], [[[1, 3], [3, 2], [5, 1], [9, 1], [12, 2]], 1/1866240], [[[1, 3], [3, 2], [5, 1], [9, 1], [15, 1]], 541/194400], [[[1, 3], [3, 2], [5, 1], [9, 1], [20, 1]], 1/129600], [[[1, 3], [3, 2], [5, 1], [9, 1], [24, 1]], 1/155520], [[[1, 3], [3, 2], [5, 1], [9, 1], [30, 1]], 1/194400], [[[1, 3], [3, 2], [5, 2], [6, 2], [7, 1]], 1/58060800], [[[1, 3], [3, 2], [5, 2], [6, 2], [9, 1]], 1/44789760], [[[1, 3], [3, 2], [5, 2], [7, 1], [12, 1]], 1/9676800], [[[1, 3], [3, 2], [5, 2], [9, 1], [12, 1]], 1/7464960], [[[1, 3], [3, 2], [6, 2], [7, 1], [8, 2]], 1/18579456], [[[1, 3], [3, 2], [6, 2], [7, 1], [10, 2]], 1/58060800], [[[1, 3], [3, 2], [6, 2], [7, 1], [12, 2]], 151/27869184], [[[1, 3], [3, 2], [6, 2], [7, 1], [15, 1]], 1/2903040], [[[1, 3], [3, 2], [6, 2], [7, 1], [20, 1]], 1/1935360], [[[1, 3], [3, 2], [6, 2], [7, 1], [24, 1]], 73/2322432], [[[1, 3], [3, 2], [6, 2], [7, 1], [30, 1]], 1/2903040], [[[1, 3], [3, 2], [6, 2], [8, 2], [9, 1]], 5/71663616], [[[1, 3], [3, 2], [6, 2], [9, 1], [10, 2]], 1/44789760], [[[1, 3], [3, 2], [6, 2], [9, 1], [12, 2]], 179/107495424], [[[1, 3], [3, 2], [6, 2], [9, 1], [15, 1]], 1/2239488], [[[1, 3], [3, 2], [6, 2], [9, 1], [20, 1]], 1/1492992], [[[1, 3], [3, 2], [6, 2], [9, 1], [24, 1]], 77/8957952], [[[1, 3], [3, 2], [6, 2], [9, 1], [30, 1]], 1/2239488], [[[1, 3], [3, 2], [6, 3], [7, 1], [18, 1]], 1/5225472], [[[1, 3], [3, 2], [6, 3], [9, 1], [18, 1]], 113/20155392], [[[1, 3], [3, 2], [6, 4], [7, 1], [12, 1]], 13/358318080], [[[1, 3], [3, 2], [6, 4], [9, 1], [12, 1]], 91/1934917632], [[[1, 3], [3, 2], [7, 1], [8, 2], [12, 1]], 1/3096576], [[[1, 3], [3, 2], [7, 1], [10, 2], [12, 1]], 1/9676800], [[[1, 3], [3, 2], [7, 1], [12, 1], [15, 1]], 1/483840], [[[1, 3], [3, 2], [7, 1], [12, 1], [20, 1]], 1/322560], [[[1, 3], [3, 2], [7, 1], [12, 1], [24, 1]], 1/387072], [[[1, 3], [3, 2], [7, 1], [12, 1], [30, 1]], 1/483840], [[[1, 3], [3, 2], [8, 2], [9, 1], [12, 1]], 5/11943936], [[[1, 3], [3, 2], [9, 1], [10, 2], [12, 1]], 1/7464960], [[[1, 3], [3, 2], [9, 1], [12, 1], [15, 1]], 1/373248], [[[1, 3], [3, 2], [9, 1], [12, 1], [20, 1]], 1/248832], [[[1, 3], [3, 2], [9, 1], [12, 1], [24, 1]], 5/1492992], [[[1, 3], [3, 2], [9, 1], [12, 1], [30, 1]], 1/373248], [[[1, 3], [3, 3], [4, 2], [5, 1], [12, 2]], 1/2488320], [[[1, 3], [3, 3], [4, 2], [5, 2], [6, 2]], 1/1194393600], [[[1, 3], [3, 3], [4, 2], [5, 2], [12, 1]], 7/1074954240], [[[1, 3], [3, 3], [4, 2], [6, 2], [8, 2]], 1/382205952], [[[1, 3], [3, 3], [4, 2], [6, 2], [10, 2]], 1/1194393600], [[[1, 3], [3, 3], [4, 2], [6, 2], [12, 2]], 12031/5159780352], [[[1, 3], [3, 3], [4, 2], [6, 2], [15, 1]], 1/59719680], [[[1, 3], [3, 3], [4, 2], [6, 2], [20, 1]], 1/39813120], [[[1, 3], [3, 3], [4, 2], [6, 2], [24, 1]], 73/47775744], [[[1, 3], [3, 3], [4, 2], [6, 2], [30, 1]], 1/59719680], [[[1, 3], [3, 3], [4, 2], [6, 3], [18, 1]], 1/107495424], [[[1, 3], [3, 3], [4, 2], [6, 4], [12, 1]], 95101/278628139008], [[[1, 3], [3, 3], [4, 2], [8, 1], [16, 1]], 1/3981312], [[[1, 3], [3, 3], [4, 2], [8, 2], [12, 1]], 131/1719926784], [[[1, 3], [3, 3], [4, 2], [10, 2], [12, 1]], 7/1074954240], [[[1, 3], [3, 3], [4, 2], [12, 1], [15, 1]], 7/53747712], [[[1, 3], [3, 3], [4, 2], [12, 1], [20, 1]], 131/179159040], [[[1, 3], [3, 3], [4, 2], [12, 1], [24, 1]], 83/214990848], [[[1, 3], [3, 3], [4, 2], [12, 1], [30, 1]], 7/53747712], [[[1, 3], [3, 3], [4, 4], [5, 1], [6, 2]], 1/9555148800], [[[1, 3], [3, 3], [4, 4], [5, 1], [12, 1]], 1/1592524800], [[[1, 3], [3, 3], [4, 4], [6, 1], [18, 1]], 1/38698352640], [[[1, 3], [3, 3], [4, 4], [6, 2], [12, 1]], 105139/206391214080], [[[1, 3], [3, 3], [5, 1], [6, 2], [8, 2]], 1/39813120], [[[1, 3], [3, 3], [5, 1], [6, 2], [10, 2]], 1/124416000], [[[1, 3], [3, 3], [5, 1], [6, 2], [12, 2]], 151/59719680], [[[1, 3], [3, 3], [5, 1], [6, 2], [15, 1]], 1/6220800], [[[1, 3], [3, 3], [5, 1], [6, 2], [20, 1]], 1/4147200], [[[1, 3], [3, 3], [5, 1], [6, 2], [24, 1]], 73/4976640], [[[1, 3], [3, 3], [5, 1], [6, 2], [30, 1]], 1/6220800], [[[1, 3], [3, 3], [5, 1], [6, 3], [18, 1]], 1/11197440], [[[1, 3], [3, 3], [5, 1], [6, 4], [12, 1]], 91/5374771200], [[[1, 3], [3, 3], [5, 1], [8, 2], [12, 1]], 1/6635520], [[[1, 3], [3, 3], [5, 1], [10, 2], [12, 1]], 1/20736000], [[[1, 3], [3, 3], [5, 1], [12, 1], [15, 1]], 1/1036800], [[[1, 3], [3, 3], [5, 1], [12, 1], [20, 1]], 1/691200], [[[1, 3], [3, 3], [5, 1], [12, 1], [24, 1]], 1/829440], [[[1, 3], [3, 3], [5, 1], [12, 1], [30, 1]], 1/1036800], [[[1, 3], [3, 3], [5, 2], [6, 1], [18, 1]], 1/503884800], [[[1, 3], [3, 3], [5, 2], [6, 2], [12, 1]], 19/2687385600], [[[1, 3], [3, 3], [6, 1], [8, 2], [18, 1]], 1/161243136], [[[1, 3], [3, 3], [6, 1], [10, 2], [18, 1]], 1/503884800], [[[1, 3], [3, 3], [6, 1], [12, 2], [18, 1]], 55/241864704], [[[1, 3], [3, 3], [6, 1], [15, 1], [18, 1]], 1/25194240], [[[1, 3], [3, 3], [6, 1], [18, 1], [20, 1]], 1/16796160], [[[1, 3], [3, 3], [6, 1], [18, 1], [24, 1]], 1/20155392], [[[1, 3], [3, 3], [6, 1], [18, 1], [30, 1]], 1/25194240], [[[1, 3], [3, 3], [6, 2], [7, 1], [9, 1]], 1/5225472], [[[1, 3], [3, 3], [6, 2], [8, 2], [12, 1]], 19/859963392], [[[1, 3], [3, 3], [6, 2], [10, 2], [12, 1]], 19/2687385600], [[[1, 3], [3, 3], [6, 2], [12, 1], [15, 1]], 19/134369280], [[[1, 3], [3, 3], [6, 2], [12, 1], [20, 1]], 19/89579520], [[[1, 3], [3, 3], [6, 2], [12, 1], [24, 1]], 667/107495424], [[[1, 3], [3, 3], [6, 2], [12, 1], [30, 1]], 19/134369280], [[[1, 3], [3, 3], [6, 3], [12, 1], [18, 1]], 19/241864704], [[[1, 3], [3, 3], [7, 1], [9, 1], [12, 1]], 1/870912], [[[1, 3], [3, 4], [4, 1], [5, 2], [8, 1]], 1/23887872000], [[[1, 3], [3, 4], [4, 1], [6, 4], [8, 1]], 81811/6191736422400], [[[1, 3], [3, 4], [4, 1], [8, 1], [10, 2]], 1/23887872000], [[[1, 3], [3, 4], [4, 1], [8, 1], [12, 2]], 271/11466178560], [[[1, 3], [3, 4], [4, 1], [8, 1], [15, 1]], 1/1194393600], [[[1, 3], [3, 4], [4, 1], [8, 1], [20, 1]], 1/796262400], [[[1, 3], [3, 4], [4, 1], [8, 1], [24, 1]], 1/955514880], [[[1, 3], [3, 4], [4, 1], [8, 1], [30, 1]], 1/1194393600], [[[1, 3], [3, 4], [4, 2], [6, 2], [9, 1]], 1/107495424], [[[1, 3], [3, 4], [4, 2], [7, 1], [12, 1]], 1/627056640], [[[1, 3], [3, 4], [4, 2], [9, 1], [12, 1]], 11/151165440], [[[1, 3], [3, 4], [4, 3], [8, 1], [12, 1]], 1/2866544640], [[[1, 3], [3, 4], [5, 1], [6, 2], [9, 1]], 1/11197440], [[[1, 3], [3, 4], [5, 1], [9, 1], [12, 1]], 1/1866240], [[[1, 3], [3, 4], [6, 1], [7, 1], [18, 1]], 1/470292480], [[[1, 3], [3, 4], [6, 1], [9, 1], [18, 1]], 1121/1813985280], [[[1, 3], [3, 4], [6, 2], [7, 1], [12, 1]], 13/358318080], [[[1, 3], [3, 4], [6, 2], [9, 1], [12, 1]], 851/9674588160], [[[1, 3], [3, 5], [4, 1], [8, 1], [9, 1]], 1/2149908480], [[[1, 3], [3, 5], [4, 2], [5, 1], [12, 1]], 1/1343692800], [[[1, 3], [3, 5], [4, 2], [6, 1], [18, 1]], 1/9674588160], [[[1, 3], [3, 5], [4, 2], [6, 2], [12, 1]], 6121/154793410560], [[[1, 3], [3, 5], [5, 1], [6, 1], [18, 1]], 1/1007769600], [[[1, 3], [3, 5], [5, 1], [6, 2], [12, 1]], 91/5374771200], [[[1, 3], [3, 5], [6, 1], [12, 1], [18, 1]], 11/2418647040], [[[1, 3], [3, 6], [4, 1], [6, 2], [8, 1]], 1/68797071360], [[[1, 3], [3, 6], [4, 1], [8, 1], [12, 1]], 1/11466178560], [[[1, 3], [4, 1], [5, 2], [6, 4], [8, 1]], 1/23887872000], [[[1, 3], [4, 1], [5, 2], [8, 1], [10, 2]], 301/92160000], [[[1, 3], [4, 1], [5, 2], [8, 1], [12, 2]], 1/44236800], [[[1, 3], [4, 1], [5, 2], [8, 1], [15, 1]], 1/4608000], [[[1, 3], [4, 1], [5, 2], [8, 1], [20, 1]], 1/3072000], [[[1, 3], [4, 1], [5, 2], [8, 1], [24, 1]], 1/3686400], [[[1, 3], [4, 1], [5, 2], [8, 1], [30, 1]], 1/4608000], [[[1, 3], [4, 1], [6, 1], [8, 3], [18, 1]], 1/2654208], [[[1, 3], [4, 1], [6, 2], [8, 1], [12, 3]], 1/21233664], [[[1, 3], [4, 1], [6, 2], [8, 1], [18, 2]], 1/1492992], [[[1, 3], [4, 1], [6, 2], [8, 3], [12, 1]], 1/14155776], [[[1, 3], [4, 1], [6, 4], [8, 1], [10, 2]], 1/23887872000], [[[1, 3], [4, 1], [6, 4], [8, 1], [12, 2]], 271/11466178560], [[[1, 3], [4, 1], [6, 4], [8, 1], [15, 1]], 1/1194393600], [[[1, 3], [4, 1], [6, 4], [8, 1], [20, 1]], 1/796262400], [[[1, 3], [4, 1], [6, 4], [8, 1], [24, 1]], 1/955514880], [[[1, 3], [4, 1], [6, 4], [8, 1], [30, 1]], 1/1194393600], [[[1, 3], [4, 1], [6, 5], [8, 1], [18, 1]], 1/2149908480], [[[1, 3], [4, 1], [6, 6], [8, 1], [12, 1]], 1/11466178560], [[[1, 3], [4, 1], [8, 1], [10, 2], [12, 2]], 1/44236800], [[[1, 3], [4, 1], [8, 1], [10, 2], [15, 1]], 1/4608000], [[[1, 3], [4, 1], [8, 1], [10, 2], [20, 1]], 1/3072000], [[[1, 3], [4, 1], [8, 1], [10, 2], [24, 1]], 1/3686400], [[[1, 3], [4, 1], [8, 1], [10, 2], [30, 1]], 1/4608000], [[[1, 3], [4, 1], [8, 1], [12, 1], [36, 1]], 1/27648], [[[1, 3], [4, 1], [8, 1], [12, 2], [15, 1]], 1/2211840], [[[1, 3], [4, 1], [8, 1], [12, 2], [20, 1]], 1/1474560], [[[1, 3], [4, 1], [8, 1], [12, 2], [24, 1]], 13/1769472], [[[1, 3], [4, 1], [8, 1], [12, 2], [30, 1]], 1/2211840], [[[1, 3], [4, 1], [8, 1], [15, 1], [20, 1]], 1/153600], [[[1, 3], [4, 1], [8, 1], [15, 1], [24, 1]], 1/184320], [[[1, 3], [4, 1], [8, 1], [15, 1], [30, 1]], 1/14400], [[[1, 3], [4, 1], [8, 1], [20, 1], [24, 1]], 1/122880], [[[1, 3], [4, 1], [8, 1], [20, 1], [30, 1]], 1/153600], [[[1, 3], [4, 1], [8, 1], [24, 1], [30, 1]], 1/184320], [[[1, 3], [4, 2], [5, 2], [7, 1], [12, 1]], 1/2419200], [[[1, 3], [4, 2], [5, 2], [9, 1], [12, 1]], 1/9331200], [[[1, 3], [4, 2], [6, 2], [7, 1], [12, 2]], 1/1161216], [[[1, 3], [4, 2], [6, 2], [9, 1], [12, 2]], 1/4478976], [[[1, 3], [4, 2], [6, 4], [7, 1], [12, 1]], 1/627056640], [[[1, 3], [4, 2], [6, 4], [9, 1], [12, 1]], 1/2418647040], [[[1, 3], [4, 2], [7, 1], [8, 1], [16, 1]], 1/14336], [[[1, 3], [4, 2], [7, 1], [8, 2], [12, 1]], 13/774144], [[[1, 3], [4, 2], [7, 1], [10, 2], [12, 1]], 1/2419200], [[[1, 3], [4, 2], [7, 1], [12, 1], [15, 1]], 1/120960], [[[1, 3], [4, 2], [7, 1], [12, 1], [20, 1]], 13/80640], [[[1, 3], [4, 2], [7, 1], [12, 1], [24, 1]], 1/13824], [[[1, 3], [4, 2], [7, 1], [12, 1], [30, 1]], 1/120960], [[[1, 3], [4, 2], [8, 1], [9, 1], [16, 1]], 1/55296], [[[1, 3], [4, 2], [8, 2], [9, 1], [12, 1]], 13/2985984], [[[1, 3], [4, 2], [9, 1], [10, 2], [12, 1]], 1/9331200], [[[1, 3], [4, 2], [9, 1], [12, 1], [15, 1]], 1/466560], [[[1, 3], [4, 2], [9, 1], [12, 1], [20, 1]], 13/311040], [[[1, 3], [4, 2], [9, 1], [12, 1], [24, 1]], 7/373248], [[[1, 3], [4, 2], [9, 1], [12, 1], [30, 1]], 1/466560], [[[1, 3], [4, 3], [5, 2], [8, 1], [12, 1]], 1/11059200], [[[1, 3], [4, 3], [6, 2], [8, 1], [12, 2]], 1/5308416], [[[1, 3], [4, 3], [6, 4], [8, 1], [12, 1]], 1/2866544640], [[[1, 3], [4, 3], [8, 1], [10, 2], [12, 1]], 1/11059200], [[[1, 3], [4, 3], [8, 1], [12, 1], [15, 1]], 1/552960], [[[1, 3], [4, 3], [8, 1], [12, 1], [20, 1]], 13/368640], [[[1, 3], [4, 3], [8, 1], [12, 1], [24, 1]], 7/442368], [[[1, 3], [4, 3], [8, 1], [12, 1], [30, 1]], 1/552960], [[[1, 3], [4, 4], [6, 1], [7, 1], [18, 1]], 1/139345920], [[[1, 3], [4, 4], [6, 1], [9, 1], [18, 1]], 1/537477120], [[[1, 3], [4, 4], [6, 2], [7, 1], [12, 1]], 1/743178240], [[[1, 3], [4, 4], [6, 2], [9, 1], [12, 1]], 1/2866544640], [[[1, 3], [4, 5], [6, 1], [8, 1], [18, 1]], 1/637009920], [[[1, 3], [4, 5], [6, 2], [8, 1], [12, 1]], 1/3397386240], [[[1, 3], [5, 2], [6, 1], [7, 1], [18, 1]], 1/1814400], [[[1, 3], [5, 2], [6, 1], [9, 1], [18, 1]], 1/6998400], [[[1, 3], [5, 2], [6, 2], [7, 1], [12, 1]], 1/9676800], [[[1, 3], [5, 2], [6, 2], [9, 1], [12, 1]], 1/37324800], [[[1, 3], [6, 1], [7, 1], [8, 2], [18, 1]], 1/580608], [[[1, 3], [6, 1], [7, 1], [10, 2], [18, 1]], 1/1814400], [[[1, 3], [6, 1], [7, 1], [12, 2], [18, 1]], 1/870912], [[[1, 3], [6, 1], [7, 1], [15, 1], [18, 1]], 1/90720], [[[1, 3], [6, 1], [7, 1], [18, 1], [20, 1]], 1/60480], [[[1, 3], [6, 1], [7, 1], [18, 1], [24, 1]], 1/72576], [[[1, 3], [6, 1], [7, 1], [18, 1], [30, 1]], 1/90720], [[[1, 3], [6, 1], [8, 2], [9, 1], [18, 1]], 1/2239488], [[[1, 3], [6, 1], [9, 1], [10, 2], [18, 1]], 1/6998400], [[[1, 3], [6, 1], [9, 1], [12, 2], [18, 1]], 1/3359232], [[[1, 3], [6, 1], [9, 1], [15, 1], [18, 1]], 1/349920], [[[1, 3], [6, 1], [9, 1], [18, 1], [20, 1]], 1/233280], [[[1, 3], [6, 1], [9, 1], [18, 1], [24, 1]], 1/279936], [[[1, 3], [6, 1], [9, 1], [18, 1], [30, 1]], 1/349920], [[[1, 3], [6, 2], [7, 1], [8, 2], [12, 1]], 1/3096576], [[[1, 3], [6, 2], [7, 1], [10, 2], [12, 1]], 1/9676800], [[[1, 3], [6, 2], [7, 1], [12, 1], [15, 1]], 1/483840], [[[1, 3], [6, 2], [7, 1], [12, 1], [20, 1]], 1/322560], [[[1, 3], [6, 2], [7, 1], [12, 1], [24, 1]], 1/387072], [[[1, 3], [6, 2], [7, 1], [12, 1], [30, 1]], 1/483840], [[[1, 3], [6, 2], [8, 2], [9, 1], [12, 1]], 1/11943936], [[[1, 3], [6, 2], [9, 1], [10, 2], [12, 1]], 1/37324800], [[[1, 3], [6, 2], [9, 1], [12, 1], [15, 1]], 1/1866240], [[[1, 3], [6, 2], [9, 1], [12, 1], [20, 1]], 1/1244160], [[[1, 3], [6, 2], [9, 1], [12, 1], [24, 1]], 1/1492992], [[[1, 3], [6, 2], [9, 1], [12, 1], [30, 1]], 1/1866240], [[[1, 3], [6, 3], [7, 1], [12, 1], [18, 1]], 1/870912], [[[1, 3], [6, 3], [9, 1], [12, 1], [18, 1]], 1/3359232], [[[1, 4], [2, 1], [3, 1], [4, 1], [5, 4]], 97/276480000], [[[1, 4], [2, 1], [3, 1], [4, 1], [6, 8]], 1/18575209267200], [[[1, 4], [2, 1], [3, 1], [4, 1], [8, 4]], 23/47185920], [[[1, 4], [2, 1], [3, 1], [4, 1], [10, 4]], 1/276480000], [[[1, 4], [2, 1], [3, 1], [4, 1], [12, 4]], 127/106168320], [[[1, 4], [2, 1], [3, 1], [4, 1], [15, 2]], 1/691200], [[[1, 4], [2, 1], [3, 1], [4, 1], [16, 2]], 1/147456], [[[1, 4], [2, 1], [3, 1], [4, 1], [20, 2]], 1/184320], [[[1, 4], [2, 1], [3, 1], [4, 1], [24, 2]], 1/147456], [[[1, 4], [2, 1], [3, 1], [4, 1], [30, 2]], 1/691200], [[[1, 4], [2, 1], [3, 1], [4, 1], [40, 1]], 1/15360], [[[1, 4], [2, 1], [3, 1], [4, 1], [48, 1]], 1/18432], [[[1, 4], [2, 1], [3, 1], [4, 1], [60, 1]], 1/23040], [[[1, 4], [2, 1], [3, 1], [4, 2], [6, 7]], 1/464380231680], [[[1, 4], [2, 1], [3, 1], [4, 3], [5, 3]], 1/18432000], [[[1, 4], [2, 1], [3, 1], [4, 3], [6, 6]], 1/206391214080], [[[1, 4], [2, 1], [3, 1], [4, 3], [8, 3]], 1/1048576], [[[1, 4], [2, 1], [3, 1], [4, 3], [9, 2]], 1/8957952], [[[1, 4], [2, 1], [3, 1], [4, 3], [10, 3]], 1/27648000], [[[1, 4], [2, 1], [3, 1], [4, 3], [12, 3]], 1267/191102976], [[[1, 4], [2, 1], [3, 1], [4, 3], [28, 1]], 1/16128], [[[1, 4], [2, 1], [3, 1], [4, 3], [36, 1]], 1/41472], [[[1, 4], [2, 1], [3, 1], [4, 4], [6, 5]], 11/2063912140800], [[[1, 4], [2, 1], [3, 1], [4, 5], [5, 2]], 23/3538944000], [[[1, 4], [2, 1], [3, 1], [4, 5], [6, 4]], 7/917294284800], [[[1, 4], [2, 1], [3, 1], [4, 5], [8, 2]], 409/1132462080], [[[1, 4], [2, 1], [3, 1], [4, 5], [10, 2]], 7/3538944000], [[[1, 4], [2, 1], [3, 1], [4, 5], [12, 2]], 12901/5096079360], [[[1, 4], [2, 1], [3, 1], [4, 5], [15, 1]], 7/176947200], [[[1, 4], [2, 1], [3, 1], [4, 5], [16, 1]], 1/884736], [[[1, 4], [2, 1], [3, 1], [4, 5], [20, 1]], 337/70778880], [[[1, 4], [2, 1], [3, 1], [4, 5], [24, 1]], 7/141557760], [[[1, 4], [2, 1], [3, 1], [4, 5], [30, 1]], 7/176947200], [[[1, 4], [2, 1], [3, 1], [4, 6], [6, 3]], 1/137594142720], [[[1, 4], [2, 1], [3, 1], [4, 6], [7, 1]], 1/743178240], [[[1, 4], [2, 1], [3, 1], [4, 6], [9, 1]], 77/91729428480], [[[1, 4], [2, 1], [3, 1], [4, 6], [14, 1]], 1/1486356480], [[[1, 4], [2, 1], [3, 1], [4, 6], [18, 1]], 1/1911029760], [[[1, 4], [2, 1], [3, 1], [4, 7], [5, 1]], 127/89181388800], [[[1, 4], [2, 1], [3, 1], [4, 7], [6, 2]], 17/256842399744], [[[1, 4], [2, 1], [3, 1], [4, 7], [8, 1]], 203/6794772480], [[[1, 4], [2, 1], [3, 1], [4, 7], [10, 1]], 1/2123366400], [[[1, 4], [2, 1], [3, 1], [4, 7], [12, 1]], 5143/71345111040], [[[1, 4], [2, 1], [3, 1], [4, 8], [6, 1]], 17/5136847994880], [[[1, 4], [2, 1], [3, 1], [5, 1], [6, 7]], 1/48372940800], [[[1, 4], [2, 1], [3, 1], [5, 2], [6, 5]], 11/26873856000], [[[1, 4], [2, 1], [3, 1], [5, 3], [6, 3]], 1/186624000], [[[1, 4], [2, 1], [3, 1], [5, 3], [7, 1]], 1/672000], [[[1, 4], [2, 1], [3, 1], [5, 3], [9, 1]], 61/77760000], [[[1, 4], [2, 1], [3, 1], [5, 3], [14, 1]], 1/2016000], [[[1, 4], [2, 1], [3, 1], [5, 3], [18, 1]], 1/2592000], [[[1, 4], [2, 1], [3, 1], [5, 4], [6, 1]], 1/207360000], [[[1, 4], [2, 1], [3, 1], [6, 1], [8, 4]], 1/11796480], [[[1, 4], [2, 1], [3, 1], [6, 1], [10, 4]], 1/207360000], [[[1, 4], [2, 1], [3, 1], [6, 1], [12, 4]], 203/716636160], [[[1, 4], [2, 1], [3, 1], [6, 1], [15, 2]], 1/518400], [[[1, 4], [2, 1], [3, 1], [6, 1], [16, 2]], 1/110592], [[[1, 4], [2, 1], [3, 1], [6, 1], [20, 2]], 1/138240], [[[1, 4], [2, 1], [3, 1], [6, 1], [24, 2]], 1/110592], [[[1, 4], [2, 1], [3, 1], [6, 1], [30, 2]], 1/518400], [[[1, 4], [2, 1], [3, 1], [6, 1], [40, 1]], 1/11520], [[[1, 4], [2, 1], [3, 1], [6, 1], [48, 1]], 1/13824], [[[1, 4], [2, 1], [3, 1], [6, 1], [60, 1]], 1/17280], [[[1, 4], [2, 1], [3, 1], [6, 3], [8, 3]], 1/15925248], [[[1, 4], [2, 1], [3, 1], [6, 3], [9, 2]], 1/30233088], [[[1, 4], [2, 1], [3, 1], [6, 3], [10, 3]], 1/62208000], [[[1, 4], [2, 1], [3, 1], [6, 3], [12, 3]], 73/214990848], [[[1, 4], [2, 1], [3, 1], [6, 3], [18, 2]], 1/1119744], [[[1, 4], [2, 1], [3, 1], [6, 5], [8, 2]], 11/8599633920], [[[1, 4], [2, 1], [3, 1], [6, 5], [10, 2]], 11/26873856000], [[[1, 4], [2, 1], [3, 1], [6, 5], [12, 2]], 887/12899450880], [[[1, 4], [2, 1], [3, 1], [6, 5], [15, 1]], 11/1343692800], [[[1, 4], [2, 1], [3, 1], [6, 5], [20, 1]], 11/895795200], [[[1, 4], [2, 1], [3, 1], [6, 5], [24, 1]], 11/1074954240], [[[1, 4], [2, 1], [3, 1], [6, 5], [30, 1]], 11/1343692800], [[[1, 4], [2, 1], [3, 1], [6, 6], [7, 1]], 1/1504935936], [[[1, 4], [2, 1], [3, 1], [6, 6], [9, 1]], 7/29023764480], [[[1, 4], [2, 1], [3, 1], [6, 6], [14, 1]], 1/7524679680], [[[1, 4], [2, 1], [3, 1], [6, 6], [18, 1]], 1/214990848], [[[1, 4], [2, 1], [3, 1], [6, 7], [8, 1]], 1/12899450880], [[[1, 4], [2, 1], [3, 1], [6, 7], [10, 1]], 1/16124313600], [[[1, 4], [2, 1], [3, 1], [6, 7], [12, 1]], 109/116095057920], [[[1, 4], [2, 1], [3, 1], [7, 1], [8, 3]], 1/516096], [[[1, 4], [2, 1], [3, 1], [7, 1], [9, 2]], 5/326592], [[[1, 4], [2, 1], [3, 1], [7, 1], [12, 3]], 5/2322432], [[[1, 4], [2, 1], [3, 1], [7, 2], [9, 1]], 1/56448], [[[1, 4], [2, 1], [3, 1], [8, 3], [9, 1]], 5/7962624], [[[1, 4], [2, 1], [3, 1], [9, 1], [12, 3]], 7/8957952], [[[1, 4], [2, 1], [3, 1], [9, 2], [14, 1]], 1/326592], [[[1, 4], [2, 1], [3, 1], [9, 2], [18, 1]], 1/419904], [[[1, 4], [2, 1], [3, 1], [12, 3], [14, 1]], 1/2322432], [[[1, 4], [2, 1], [3, 1], [12, 3], [18, 1]], 1/2985984], [[[1, 4], [2, 1], [3, 2], [4, 1], [6, 7]], 17/309586821120], [[[1, 4], [2, 1], [3, 2], [4, 2], [5, 3]], 1/20736000], [[[1, 4], [2, 1], [3, 2], [4, 2], [6, 6]], 269/9906778275840], [[[1, 4], [2, 1], [3, 2], [4, 2], [8, 3]], 1/10616832], [[[1, 4], [2, 1], [3, 2], [4, 2], [9, 2]], 47/71663616], [[[1, 4], [2, 1], [3, 2], [4, 2], [12, 3]], 116575/82556485632], [[[1, 4], [2, 1], [3, 2], [4, 2], [28, 1]], 1/41472], [[[1, 4], [2, 1], [3, 2], [4, 2], [36, 1]], 7/1119744], [[[1, 4], [2, 1], [3, 2], [4, 3], [6, 5]], 1/12899450880], [[[1, 4], [2, 1], [3, 2], [4, 4], [5, 2]], 167/28665446400], [[[1, 4], [2, 1], [3, 2], [4, 4], [6, 4]], 2077/37150418534400], [[[1, 4], [2, 1], [3, 2], [4, 4], [8, 2]], 1867/45864714240], [[[1, 4], [2, 1], [3, 2], [4, 4], [10, 2]], 187/143327232000], [[[1, 4], [2, 1], [3, 2], [4, 4], [12, 2]], 51403/68797071360], [[[1, 4], [2, 1], [3, 2], [4, 4], [15, 1]], 187/7166361600], [[[1, 4], [2, 1], [3, 2], [4, 4], [20, 1]], 115/191102976], [[[1, 4], [2, 1], [3, 2], [4, 4], [24, 1]], 187/5733089280], [[[1, 4], [2, 1], [3, 2], [4, 4], [30, 1]], 187/7166361600], [[[1, 4], [2, 1], [3, 2], [4, 5], [6, 3]], 17/91729428480], [[[1, 4], [2, 1], [3, 2], [4, 5], [9, 1]], 7/318504960], [[[1, 4], [2, 1], [3, 2], [4, 6], [5, 1]], 1/1592524800], [[[1, 4], [2, 1], [3, 2], [4, 6], [6, 2]], 269/2935341711360], [[[1, 4], [2, 1], [3, 2], [4, 6], [8, 1]], 1/2548039680], [[[1, 4], [2, 1], [3, 2], [4, 6], [12, 1]], 179551/13209037701120], [[[1, 4], [2, 1], [3, 2], [4, 7], [6, 1]], 1/3822059520], [[[1, 4], [2, 1], [3, 2], [5, 1], [6, 6]], 211/644972544000], [[[1, 4], [2, 1], [3, 2], [5, 1], [8, 3]], 1/1105920], [[[1, 4], [2, 1], [3, 2], [5, 1], [9, 2]], 37/4665600], [[[1, 4], [2, 1], [3, 2], [5, 1], [12, 3]], 211/199065600], [[[1, 4], [2, 1], [3, 2], [5, 2], [6, 4]], 509/96745881600], [[[1, 4], [2, 1], [3, 2], [5, 2], [8, 2]], 131/119439360], [[[1, 4], [2, 1], [3, 2], [5, 2], [10, 2]], 551/373248000], [[[1, 4], [2, 1], [3, 2], [5, 2], [12, 2]], 781/895795200], [[[1, 4], [2, 1], [3, 2], [5, 2], [15, 1]], 131/18662400], [[[1, 4], [2, 1], [3, 2], [5, 2], [20, 1]], 131/12441600], [[[1, 4], [2, 1], [3, 2], [5, 2], [24, 1]], 131/14929920], [[[1, 4], [2, 1], [3, 2], [5, 2], [30, 1]], 131/18662400], [[[1, 4], [2, 1], [3, 2], [5, 3], [6, 2]], 211/2488320000], [[[1, 4], [2, 1], [3, 2], [5, 3], [8, 1]], 1/3456000], [[[1, 4], [2, 1], [3, 2], [5, 3], [12, 1]], 211/414720000], [[[1, 4], [2, 1], [3, 2], [6, 2], [7, 2]], 1/1806336], [[[1, 4], [2, 1], [3, 2], [6, 2], [8, 3]], 17/254803968], [[[1, 4], [2, 1], [3, 2], [6, 2], [9, 2]], 7/8957952], [[[1, 4], [2, 1], [3, 2], [6, 2], [12, 3]], 175/429981696], [[[1, 4], [2, 1], [3, 2], [6, 2], [18, 2]], 7/30233088], [[[1, 4], [2, 1], [3, 2], [6, 4], [8, 2]], 1897/154793410560], [[[1, 4], [2, 1], [3, 2], [6, 4], [10, 2]], 1897/483729408000], [[[1, 4], [2, 1], [3, 2], [6, 4], [12, 2]], 26593/232190115840], [[[1, 4], [2, 1], [3, 2], [6, 4], [15, 1]], 1897/24186470400], [[[1, 4], [2, 1], [3, 2], [6, 4], [20, 1]], 1897/16124313600], [[[1, 4], [2, 1], [3, 2], [6, 4], [24, 1]], 1897/19349176320], [[[1, 4], [2, 1], [3, 2], [6, 4], [30, 1]], 1897/24186470400], [[[1, 4], [2, 1], [3, 2], [6, 5], [7, 1]], 11/2508226560], [[[1, 4], [2, 1], [3, 2], [6, 5], [9, 1]], 11/1934917632], [[[1, 4], [2, 1], [3, 2], [6, 5], [18, 1]], 1897/43535646720], [[[1, 4], [2, 1], [3, 2], [6, 6], [8, 1]], 17/206391214080], [[[1, 4], [2, 1], [3, 2], [6, 6], [12, 1]], 1939/232190115840], [[[1, 4], [2, 1], [3, 2], [7, 2], [12, 1]], 1/301056], [[[1, 4], [2, 1], [3, 2], [8, 1], [9, 2]], 1/497664], [[[1, 4], [2, 1], [3, 2], [8, 1], [12, 3]], 17/63700992], [[[1, 4], [2, 1], [3, 2], [8, 2], [10, 2]], 7/597196800], [[[1, 4], [2, 1], [3, 2], [8, 2], [12, 2]], 133/286654464], [[[1, 4], [2, 1], [3, 2], [8, 2], [15, 1]], 7/29859840], [[[1, 4], [2, 1], [3, 2], [8, 2], [20, 1]], 7/19906560], [[[1, 4], [2, 1], [3, 2], [8, 2], [24, 1]], 77/7962624], [[[1, 4], [2, 1], [3, 2], [8, 2], [30, 1]], 7/29859840], [[[1, 4], [2, 1], [3, 2], [8, 3], [12, 1]], 17/42467328], [[[1, 4], [2, 1], [3, 2], [9, 2], [12, 1]], 7/1492992], [[[1, 4], [2, 1], [3, 2], [10, 2], [12, 2]], 133/895795200], [[[1, 4], [2, 1], [3, 2], [10, 2], [15, 1]], 7/93312000], [[[1, 4], [2, 1], [3, 2], [10, 2], [20, 1]], 7/62208000], [[[1, 4], [2, 1], [3, 2], [10, 2], [24, 1]], 7/74649600], [[[1, 4], [2, 1], [3, 2], [10, 2], [30, 1]], 7/93312000], [[[1, 4], [2, 1], [3, 2], [12, 1], [36, 1]], 7/559872], [[[1, 4], [2, 1], [3, 2], [12, 2], [15, 1]], 133/44789760], [[[1, 4], [2, 1], [3, 2], [12, 2], [20, 1]], 133/29859840], [[[1, 4], [2, 1], [3, 2], [12, 2], [24, 1]], 217/35831808], [[[1, 4], [2, 1], [3, 2], [12, 2], [30, 1]], 133/44789760], [[[1, 4], [2, 1], [3, 2], [15, 1], [20, 1]], 7/3110400], [[[1, 4], [2, 1], [3, 2], [15, 1], [24, 1]], 7/3732480], [[[1, 4], [2, 1], [3, 2], [15, 1], [30, 1]], 7/291600], [[[1, 4], [2, 1], [3, 2], [20, 1], [24, 1]], 7/2488320], [[[1, 4], [2, 1], [3, 2], [20, 1], [30, 1]], 7/3110400], [[[1, 4], [2, 1], [3, 2], [24, 1], [30, 1]], 7/3732480], [[[1, 4], [2, 1], [3, 3], [4, 1], [5, 3]], 1/373248000], [[[1, 4], [2, 1], [3, 3], [4, 1], [6, 6]], 1/103195607040], [[[1, 4], [2, 1], [3, 3], [4, 1], [8, 3]], 5/63700992], [[[1, 4], [2, 1], [3, 3], [4, 1], [9, 2]], 1/2239488], [[[1, 4], [2, 1], [3, 3], [4, 1], [10, 3]], 1/373248000], [[[1, 4], [2, 1], [3, 3], [4, 1], [12, 3]], 1433/2579890176], [[[1, 4], [2, 1], [3, 3], [4, 1], [28, 1]], 1/870912], [[[1, 4], [2, 1], [3, 3], [4, 1], [36, 1]], 1/1119744], [[[1, 4], [2, 1], [3, 3], [4, 2], [6, 5]], 11/51597803520], [[[1, 4], [2, 1], [3, 3], [4, 3], [5, 2]], 1/7166361600], [[[1, 4], [2, 1], [3, 3], [4, 3], [6, 4]], 811/1857520926720], [[[1, 4], [2, 1], [3, 3], [4, 3], [8, 2]], 49/2293235712], [[[1, 4], [2, 1], [3, 3], [4, 3], [10, 2]], 1/7166361600], [[[1, 4], [2, 1], [3, 3], [4, 3], [12, 2]], 1303/3439853568], [[[1, 4], [2, 1], [3, 3], [4, 3], [15, 1]], 1/358318080], [[[1, 4], [2, 1], [3, 3], [4, 3], [16, 1]], 1/11943936], [[[1, 4], [2, 1], [3, 3], [4, 3], [20, 1]], 13/47775744], [[[1, 4], [2, 1], [3, 3], [4, 3], [24, 1]], 1/286654464], [[[1, 4], [2, 1], [3, 3], [4, 3], [30, 1]], 1/358318080], [[[1, 4], [2, 1], [3, 3], [4, 4], [6, 3]], 163/1857520926720], [[[1, 4], [2, 1], [3, 3], [4, 4], [7, 1]], 1/4013162496], [[[1, 4], [2, 1], [3, 3], [4, 4], [9, 1]], 1129/77396705280], [[[1, 4], [2, 1], [3, 3], [4, 4], [14, 1]], 1/20065812480], [[[1, 4], [2, 1], [3, 3], [4, 4], [18, 1]], 1/25798901760], [[[1, 4], [2, 1], [3, 3], [4, 5], [5, 1]], 1/28665446400], [[[1, 4], [2, 1], [3, 3], [4, 5], [6, 2]], 7/10192158720], [[[1, 4], [2, 1], [3, 3], [4, 5], [8, 1]], 103/45864714240], [[[1, 4], [2, 1], [3, 3], [4, 5], [10, 1]], 1/28665446400], [[[1, 4], [2, 1], [3, 3], [4, 5], [12, 1]], 1247/137594142720], [[[1, 4], [2, 1], [3, 3], [4, 6], [6, 1]], 1/15288238080], [[[1, 4], [2, 1], [3, 3], [5, 1], [6, 5]], 11/5374771200], [[[1, 4], [2, 1], [3, 3], [5, 2], [6, 3]], 163/24186470400], [[[1, 4], [2, 1], [3, 3], [5, 2], [7, 1]], 1/52254720], [[[1, 4], [2, 1], [3, 3], [5, 2], [9, 1]], 3937/1007769600], [[[1, 4], [2, 1], [3, 3], [5, 2], [14, 1]], 1/261273600], [[[1, 4], [2, 1], [3, 3], [5, 2], [18, 1]], 1/335923200], [[[1, 4], [2, 1], [3, 3], [5, 3], [6, 1]], 1/20736000], [[[1, 4], [2, 1], [3, 3], [6, 1], [8, 3]], 1/143327232], [[[1, 4], [2, 1], [3, 3], [6, 1], [9, 2]], 433/1119744], [[[1, 4], [2, 1], [3, 3], [6, 1], [10, 3]], 1/559872000], [[[1, 4], [2, 1], [3, 3], [6, 1], [12, 3]], 73/214990848], [[[1, 4], [2, 1], [3, 3], [6, 1], [18, 2]], 1/30233088], [[[1, 4], [2, 1], [3, 3], [6, 3], [8, 2]], 163/7739670528], [[[1, 4], [2, 1], [3, 3], [6, 3], [10, 2]], 163/24186470400], [[[1, 4], [2, 1], [3, 3], [6, 3], [12, 2]], 13879/11609505792], [[[1, 4], [2, 1], [3, 3], [6, 3], [15, 1]], 163/1209323520], [[[1, 4], [2, 1], [3, 3], [6, 3], [20, 1]], 163/806215680], [[[1, 4], [2, 1], [3, 3], [6, 3], [24, 1]], 5995/967458816], [[[1, 4], [2, 1], [3, 3], [6, 3], [30, 1]], 163/1209323520], [[[1, 4], [2, 1], [3, 3], [6, 4], [7, 1]], 811/13544423424], [[[1, 4], [2, 1], [3, 3], [6, 4], [9, 1]], 17059/261213880320], [[[1, 4], [2, 1], [3, 3], [6, 4], [14, 1]], 811/67722117120], [[[1, 4], [2, 1], [3, 3], [6, 4], [18, 1]], 7331/87071293440], [[[1, 4], [2, 1], [3, 3], [6, 5], [8, 1]], 811/116095057920], [[[1, 4], [2, 1], [3, 3], [6, 5], [10, 1]], 811/145118822400], [[[1, 4], [2, 1], [3, 3], [6, 5], [12, 1]], 2639/116095057920], [[[1, 4], [2, 1], [3, 3], [7, 1], [8, 2]], 5/83607552], [[[1, 4], [2, 1], [3, 3], [7, 1], [10, 2]], 1/52254720], [[[1, 4], [2, 1], [3, 3], [7, 1], [12, 2]], 275/125411328], [[[1, 4], [2, 1], [3, 3], [7, 1], [15, 1]], 1/2612736], [[[1, 4], [2, 1], [3, 3], [7, 1], [20, 1]], 1/1741824], [[[1, 4], [2, 1], [3, 3], [7, 1], [24, 1]], 5/10450944], [[[1, 4], [2, 1], [3, 3], [7, 1], [30, 1]], 1/2612736], [[[1, 4], [2, 1], [3, 3], [8, 2], [9, 1]], 49/322486272], [[[1, 4], [2, 1], [3, 3], [8, 2], [14, 1]], 1/83607552], [[[1, 4], [2, 1], [3, 3], [8, 2], [18, 1]], 1/107495424], [[[1, 4], [2, 1], [3, 3], [9, 1], [10, 2]], 49/1007769600], [[[1, 4], [2, 1], [3, 3], [9, 1], [12, 2]], 1183/483729408], [[[1, 4], [2, 1], [3, 3], [9, 1], [15, 1]], 49/50388480], [[[1, 4], [2, 1], [3, 3], [9, 1], [20, 1]], 49/33592320], [[[1, 4], [2, 1], [3, 3], [9, 1], [24, 1]], 49/40310784], [[[1, 4], [2, 1], [3, 3], [9, 1], [30, 1]], 49/50388480], [[[1, 4], [2, 1], [3, 3], [10, 2], [14, 1]], 1/261273600], [[[1, 4], [2, 1], [3, 3], [10, 2], [18, 1]], 1/335923200], [[[1, 4], [2, 1], [3, 3], [12, 2], [14, 1]], 55/125411328], [[[1, 4], [2, 1], [3, 3], [12, 2], [18, 1]], 55/161243136], [[[1, 4], [2, 1], [3, 3], [14, 1], [15, 1]], 1/13063680], [[[1, 4], [2, 1], [3, 3], [14, 1], [20, 1]], 1/8709120], [[[1, 4], [2, 1], [3, 3], [14, 1], [24, 1]], 1/10450944], [[[1, 4], [2, 1], [3, 3], [14, 1], [30, 1]], 1/13063680], [[[1, 4], [2, 1], [3, 3], [15, 1], [18, 1]], 1/16796160], [[[1, 4], [2, 1], [3, 3], [18, 1], [20, 1]], 1/11197440], [[[1, 4], [2, 1], [3, 3], [18, 1], [24, 1]], 1/13436928], [[[1, 4], [2, 1], [3, 3], [18, 1], [30, 1]], 1/16796160], [[[1, 4], [2, 1], [3, 4], [4, 1], [6, 5]], 3321971/27862813900800], [[[1, 4], [2, 1], [3, 4], [4, 2], [5, 2]], 2573/3439853568000], [[[1, 4], [2, 1], [3, 4], [4, 2], [6, 4]], 3139703/891610044825600], [[[1, 4], [2, 1], [3, 4], [4, 2], [8, 2]], 4841/1100753141760], [[[1, 4], [2, 1], [3, 4], [4, 2], [10, 2]], 2573/3439853568000], [[[1, 4], [2, 1], [3, 4], [4, 2], [12, 2]], 1694827/183458856960], [[[1, 4], [2, 1], [3, 4], [4, 2], [15, 1]], 2573/171992678400], [[[1, 4], [2, 1], [3, 4], [4, 2], [20, 1]], 2573/114661785600], [[[1, 4], [2, 1], [3, 4], [4, 2], [24, 1]], 2573/137594142720], [[[1, 4], [2, 1], [3, 4], [4, 2], [30, 1]], 2573/171992678400], [[[1, 4], [2, 1], [3, 4], [4, 3], [6, 3]], 25/143327232], [[[1, 4], [2, 1], [3, 4], [4, 3], [7, 1]], 1/6688604160], [[[1, 4], [2, 1], [3, 4], [4, 3], [9, 1]], 41/25798901760], [[[1, 4], [2, 1], [3, 4], [4, 4], [5, 1]], 2011/17199267840000], [[[1, 4], [2, 1], [3, 4], [4, 4], [6, 2]], 115/247669456896], [[[1, 4], [2, 1], [3, 4], [4, 4], [8, 1]], 341/5503765708800], [[[1, 4], [2, 1], [3, 4], [4, 4], [12, 1]], 1241/137594142720], [[[1, 4], [2, 1], [3, 4], [4, 5], [6, 1]], 161/8255648563200], [[[1, 4], [2, 1], [3, 4], [5, 1], [6, 4]], 2521921/58047528960000], [[[1, 4], [2, 1], [3, 4], [5, 1], [8, 2]], 2011/71663616000], [[[1, 4], [2, 1], [3, 4], [5, 1], [10, 2]], 2011/223948800000], [[[1, 4], [2, 1], [3, 4], [5, 1], [12, 2]], 112981/107495424000], [[[1, 4], [2, 1], [3, 4], [5, 1], [15, 1]], 1557211/11197440000], [[[1, 4], [2, 1], [3, 4], [5, 1], [20, 1]], 2011/7464960000], [[[1, 4], [2, 1], [3, 4], [5, 1], [24, 1]], 2011/8957952000], [[[1, 4], [2, 1], [3, 4], [5, 1], [30, 1]], 2011/11197440000], [[[1, 4], [2, 1], [3, 4], [5, 2], [6, 2]], 1979/16124313600], [[[1, 4], [2, 1], [3, 4], [5, 2], [8, 1]], 161/71663616000], [[[1, 4], [2, 1], [3, 4], [5, 2], [12, 1]], 1979/2687385600], [[[1, 4], [2, 1], [3, 4], [6, 2], [8, 2]], 35/5159780352], [[[1, 4], [2, 1], [3, 4], [6, 2], [10, 2]], 7/3224862720], [[[1, 4], [2, 1], [3, 4], [6, 2], [12, 2]], 4403/7739670528], [[[1, 4], [2, 1], [3, 4], [6, 2], [15, 1]], 7/161243136], [[[1, 4], [2, 1], [3, 4], [6, 2], [20, 1]], 7/107495424], [[[1, 4], [2, 1], [3, 4], [6, 2], [24, 1]], 1547/644972544], [[[1, 4], [2, 1], [3, 4], [6, 2], [30, 1]], 7/161243136], [[[1, 4], [2, 1], [3, 4], [6, 3], [7, 1]], 811/22574039040], [[[1, 4], [2, 1], [3, 4], [6, 3], [9, 1]], 7331/87071293440], [[[1, 4], [2, 1], [3, 4], [6, 3], [18, 1]], 35/1451188224], [[[1, 4], [2, 1], [3, 4], [6, 4], [8, 1]], 211571/18575209267200], [[[1, 4], [2, 1], [3, 4], [6, 4], [12, 1]], 4039/139314069504], [[[1, 4], [2, 1], [3, 4], [7, 1], [9, 1]], 41/188116992], [[[1, 4], [2, 1], [3, 4], [7, 1], [14, 1]], 1/243855360], [[[1, 4], [2, 1], [3, 4], [7, 1], [18, 1]], 1/313528320], [[[1, 4], [2, 1], [3, 4], [8, 1], [10, 2]], 161/71663616000], [[[1, 4], [2, 1], [3, 4], [8, 1], [12, 2]], 9071/34398535680], [[[1, 4], [2, 1], [3, 4], [8, 1], [15, 1]], 161/3583180800], [[[1, 4], [2, 1], [3, 4], [8, 1], [20, 1]], 161/2388787200], [[[1, 4], [2, 1], [3, 4], [8, 1], [24, 1]], 161/2866544640], [[[1, 4], [2, 1], [3, 4], [8, 1], [30, 1]], 161/3583180800], [[[1, 4], [2, 1], [3, 4], [8, 2], [12, 1]], 35/859963392], [[[1, 4], [2, 1], [3, 4], [9, 1], [14, 1]], 41/940584960], [[[1, 4], [2, 1], [3, 4], [9, 1], [18, 1]], 41/1209323520], [[[1, 4], [2, 1], [3, 4], [10, 2], [12, 1]], 7/537477120], [[[1, 4], [2, 1], [3, 4], [12, 1], [15, 1]], 7/26873856], [[[1, 4], [2, 1], [3, 4], [12, 1], [20, 1]], 7/17915904], [[[1, 4], [2, 1], [3, 4], [12, 1], [24, 1]], 35/107495424], [[[1, 4], [2, 1], [3, 4], [12, 1], [30, 1]], 7/26873856], [[[1, 4], [2, 1], [3, 5], [4, 1], [5, 2]], 49/35831808000], [[[1, 4], [2, 1], [3, 5], [4, 1], [6, 4]], 81811/9287604633600], [[[1, 4], [2, 1], [3, 5], [4, 1], [8, 2]], 7/11466178560], [[[1, 4], [2, 1], [3, 5], [4, 1], [10, 2]], 1/35831808000], [[[1, 4], [2, 1], [3, 5], [4, 1], [12, 2]], 149/5733089280], [[[1, 4], [2, 1], [3, 5], [4, 1], [15, 1]], 1/1791590400], [[[1, 4], [2, 1], [3, 5], [4, 1], [20, 1]], 1/1194393600], [[[1, 4], [2, 1], [3, 5], [4, 1], [24, 1]], 1/1433272320], [[[1, 4], [2, 1], [3, 5], [4, 1], [30, 1]], 1/1791590400], [[[1, 4], [2, 1], [3, 5], [4, 2], [6, 3]], 811/464380231680], [[[1, 4], [2, 1], [3, 5], [4, 2], [7, 1]], 1/2508226560], [[[1, 4], [2, 1], [3, 5], [4, 2], [9, 1]], 293/34398535680], [[[1, 4], [2, 1], [3, 5], [4, 2], [14, 1]], 1/5016453120], [[[1, 4], [2, 1], [3, 5], [4, 2], [18, 1]], 1/6449725440], [[[1, 4], [2, 1], [3, 5], [4, 3], [5, 1]], 1/4777574400], [[[1, 4], [2, 1], [3, 5], [4, 3], [6, 2]], 11/206391214080], [[[1, 4], [2, 1], [3, 5], [4, 3], [8, 1]], 11/22932357120], [[[1, 4], [2, 1], [3, 5], [4, 3], [10, 1]], 1/7166361600], [[[1, 4], [2, 1], [3, 5], [4, 3], [12, 1]], 1/1274019840], [[[1, 4], [2, 1], [3, 5], [4, 4], [6, 1]], 11/2063912140800], [[[1, 4], [2, 1], [3, 5], [5, 1], [6, 3]], 811/48372940800], [[[1, 4], [2, 1], [3, 5], [5, 1], [7, 1]], 1/174182400], [[[1, 4], [2, 1], [3, 5], [5, 1], [9, 1]], 229/2239488000], [[[1, 4], [2, 1], [3, 5], [5, 1], [14, 1]], 1/522547200], [[[1, 4], [2, 1], [3, 5], [5, 1], [18, 1]], 1/671846400], [[[1, 4], [2, 1], [3, 5], [5, 2], [6, 1]], 11/26873856000], [[[1, 4], [2, 1], [3, 5], [6, 1], [8, 2]], 11/8599633920], [[[1, 4], [2, 1], [3, 5], [6, 1], [10, 2]], 11/26873856000], [[[1, 4], [2, 1], [3, 5], [6, 1], [12, 2]], 887/12899450880], [[[1, 4], [2, 1], [3, 5], [6, 1], [15, 1]], 11/1343692800], [[[1, 4], [2, 1], [3, 5], [6, 1], [20, 1]], 11/895795200], [[[1, 4], [2, 1], [3, 5], [6, 1], [24, 1]], 11/1074954240], [[[1, 4], [2, 1], [3, 5], [6, 1], [30, 1]], 11/1343692800], [[[1, 4], [2, 1], [3, 5], [6, 2], [7, 1]], 11/1504935936], [[[1, 4], [2, 1], [3, 5], [6, 2], [9, 1]], 259/9674588160], [[[1, 4], [2, 1], [3, 5], [6, 2], [14, 1]], 11/7524679680], [[[1, 4], [2, 1], [3, 5], [6, 2], [18, 1]], 11/1934917632], [[[1, 4], [2, 1], [3, 5], [6, 3], [8, 1]], 11/12899450880], [[[1, 4], [2, 1], [3, 5], [6, 3], [10, 1]], 11/16124313600], [[[1, 4], [2, 1], [3, 5], [6, 3], [12, 1]], 2639/116095057920], [[[1, 4], [2, 1], [3, 5], [7, 1], [8, 1]], 1/418037760], [[[1, 4], [2, 1], [3, 5], [7, 1], [12, 1]], 11/250822656], [[[1, 4], [2, 1], [3, 5], [8, 1], [9, 1]], 11/429981696], [[[1, 4], [2, 1], [3, 5], [9, 1], [12, 1]], 259/1612431360], [[[1, 4], [2, 1], [3, 5], [12, 1], [14, 1]], 11/1254113280], [[[1, 4], [2, 1], [3, 5], [12, 1], [18, 1]], 11/1612431360], [[[1, 4], [2, 1], [3, 6], [4, 1], [6, 3]], 1339/103195607040], [[[1, 4], [2, 1], [3, 6], [4, 1], [9, 1]], 1/3224862720], [[[1, 4], [2, 1], [3, 6], [4, 2], [5, 1]], 1/5374771200], [[[1, 4], [2, 1], [3, 6], [4, 2], [6, 2]], 943/3302259425280], [[[1, 4], [2, 1], [3, 6], [4, 2], [8, 1]], 1/8599633920], [[[1, 4], [2, 1], [3, 6], [4, 2], [12, 1]], 99679/44580502241280], [[[1, 4], [2, 1], [3, 6], [4, 3], [6, 1]], 1/12899450880], [[[1, 4], [2, 1], [3, 6], [5, 1], [6, 2]], 737/214990848000], [[[1, 4], [2, 1], [3, 6], [5, 1], [8, 1]], 1/895795200], [[[1, 4], [2, 1], [3, 6], [5, 1], [12, 1]], 737/35831808000], [[[1, 4], [2, 1], [3, 6], [6, 1], [7, 1]], 1/2508226560], [[[1, 4], [2, 1], [3, 6], [6, 1], [9, 1]], 1/214990848], [[[1, 4], [2, 1], [3, 6], [6, 1], [18, 1]], 91/130606940160], [[[1, 4], [2, 1], [3, 6], [6, 2], [8, 1]], 59/68797071360], [[[1, 4], [2, 1], [3, 6], [6, 2], [12, 1]], 4627/696570347520], [[[1, 4], [2, 1], [3, 6], [8, 1], [12, 1]], 59/11466178560], [[[1, 4], [2, 1], [3, 7], [4, 1], [5, 1]], 1/96745881600], [[[1, 4], [2, 1], [3, 7], [4, 1], [6, 2]], 1/103195607040], [[[1, 4], [2, 1], [3, 7], [4, 1], [8, 1]], 7/154793410560], [[[1, 4], [2, 1], [3, 7], [4, 1], [10, 1]], 1/96745881600], [[[1, 4], [2, 1], [3, 7], [4, 1], [12, 1]], 7/92876046336], [[[1, 4], [2, 1], [3, 7], [4, 2], [6, 1]], 1/51597803520], [[[1, 4], [2, 1], [3, 7], [5, 1], [6, 1]], 1/5374771200], [[[1, 4], [2, 1], [3, 7], [6, 1], [8, 1]], 1/116095057920], [[[1, 4], [2, 1], [3, 7], [6, 1], [10, 1]], 1/145118822400], [[[1, 4], [2, 1], [3, 7], [6, 1], [12, 1]], 109/116095057920], [[[1, 4], [2, 1], [3, 8], [4, 1], [6, 1]], 107/18575209267200], [[[1, 4], [2, 1], [4, 1], [5, 2], [6, 5]], 1/107495424000], [[[1, 4], [2, 1], [4, 1], [5, 3], [7, 1]], 1/1344000], [[[1, 4], [2, 1], [4, 1], [5, 3], [9, 1]], 1/5184000], [[[1, 4], [2, 1], [4, 1], [5, 4], [6, 1]], 1/829440000], [[[1, 4], [2, 1], [4, 1], [6, 1], [8, 4]], 7/15728640], [[[1, 4], [2, 1], [4, 1], [6, 1], [10, 4]], 1/829440000], [[[1, 4], [2, 1], [4, 1], [6, 1], [12, 4]], 23/2866544640], [[[1, 4], [2, 1], [4, 1], [6, 1], [15, 2]], 1/2073600], [[[1, 4], [2, 1], [4, 1], [6, 1], [16, 2]], 1/442368], [[[1, 4], [2, 1], [4, 1], [6, 1], [20, 2]], 1/552960], [[[1, 4], [2, 1], [4, 1], [6, 1], [24, 2]], 1/442368], [[[1, 4], [2, 1], [4, 1], [6, 1], [30, 2]], 1/2073600], [[[1, 4], [2, 1], [4, 1], [6, 1], [40, 1]], 1/46080], [[[1, 4], [2, 1], [4, 1], [6, 1], [48, 1]], 1/55296], [[[1, 4], [2, 1], [4, 1], [6, 1], [60, 1]], 1/69120], [[[1, 4], [2, 1], [4, 1], [6, 3], [8, 3]], 1/127401984], [[[1, 4], [2, 1], [4, 1], [6, 3], [12, 3]], 1/95551488], [[[1, 4], [2, 1], [4, 1], [6, 3], [18, 2]], 1/6718464], [[[1, 4], [2, 1], [4, 1], [6, 5], [8, 2]], 19/34398535680], [[[1, 4], [2, 1], [4, 1], [6, 5], [10, 2]], 1/107495424000], [[[1, 4], [2, 1], [4, 1], [6, 5], [12, 2]], 271/51597803520], [[[1, 4], [2, 1], [4, 1], [6, 5], [15, 1]], 1/5374771200], [[[1, 4], [2, 1], [4, 1], [6, 5], [20, 1]], 1/3583180800], [[[1, 4], [2, 1], [4, 1], [6, 5], [24, 1]], 1/4299816960], [[[1, 4], [2, 1], [4, 1], [6, 5], [30, 1]], 1/5374771200], [[[1, 4], [2, 1], [4, 1], [6, 6], [18, 1]], 1/9674588160], [[[1, 4], [2, 1], [4, 1], [6, 7], [8, 1]], 1/103195607040], [[[1, 4], [2, 1], [4, 1], [6, 7], [12, 1]], 1/51597803520], [[[1, 4], [2, 1], [4, 1], [7, 1], [8, 3]], 1/49152], [[[1, 4], [2, 1], [4, 1], [7, 1], [10, 3]], 1/1344000], [[[1, 4], [2, 1], [4, 1], [7, 1], [12, 3]], 1/165888], [[[1, 4], [2, 1], [4, 1], [7, 1], [28, 1]], 1/3136], [[[1, 4], [2, 1], [4, 1], [7, 1], [36, 1]], 1/4032], [[[1, 4], [2, 1], [4, 1], [7, 2], [14, 1]], 1/3136], [[[1, 4], [2, 1], [4, 1], [8, 3], [9, 1]], 5/884736], [[[1, 4], [2, 1], [4, 1], [8, 3], [14, 1]], 1/1376256], [[[1, 4], [2, 1], [4, 1], [8, 3], [18, 1]], 1/1769472], [[[1, 4], [2, 1], [4, 1], [9, 1], [10, 3]], 1/5184000], [[[1, 4], [2, 1], [4, 1], [9, 1], [12, 3]], 7/4478976], [[[1, 4], [2, 1], [4, 1], [9, 1], [28, 1]], 1/12096], [[[1, 4], [2, 1], [4, 1], [9, 1], [36, 1]], 1/15552], [[[1, 4], [2, 1], [4, 1], [9, 2], [18, 1]], 1/15552], [[[1, 4], [2, 1], [4, 2], [5, 1], [8, 3]], 1/1966080], [[[1, 4], [2, 1], [4, 2], [5, 1], [12, 3]], 77/149299200], [[[1, 4], [2, 1], [4, 2], [5, 1], [28, 1]], 11/134400], [[[1, 4], [2, 1], [4, 2], [5, 1], [36, 1]], 11/518400], [[[1, 4], [2, 1], [4, 2], [5, 2], [6, 4]], 13/3439853568000], [[[1, 4], [2, 1], [4, 2], [5, 2], [8, 2]], 2281/4246732800], [[[1, 4], [2, 1], [4, 2], [5, 2], [10, 2]], 3913/13271040000], [[[1, 4], [2, 1], [4, 2], [5, 2], [12, 2]], 13/6370099200], [[[1, 4], [2, 1], [4, 2], [5, 2], [15, 1]], 13/663552000], [[[1, 4], [2, 1], [4, 2], [5, 2], [20, 1]], 13/442368000], [[[1, 4], [2, 1], [4, 2], [5, 2], [24, 1]], 13/530841600], [[[1, 4], [2, 1], [4, 2], [5, 2], [30, 1]], 13/663552000], [[[1, 4], [2, 1], [4, 2], [5, 3], [8, 1]], 1/6144000], [[[1, 4], [2, 1], [4, 2], [5, 3], [12, 1]], 11/103680000], [[[1, 4], [2, 1], [4, 2], [6, 2], [12, 3]], 13/3057647616], [[[1, 4], [2, 1], [4, 2], [6, 2], [18, 2]], 13/214990848], [[[1, 4], [2, 1], [4, 2], [6, 4], [8, 2]], 2281/1100753141760], [[[1, 4], [2, 1], [4, 2], [6, 4], [10, 2]], 13/3439853568000], [[[1, 4], [2, 1], [4, 2], [6, 4], [12, 2]], 3523/1651129712640], [[[1, 4], [2, 1], [4, 2], [6, 4], [15, 1]], 13/171992678400], [[[1, 4], [2, 1], [4, 2], [6, 4], [20, 1]], 13/114661785600], [[[1, 4], [2, 1], [4, 2], [6, 4], [24, 1]], 13/137594142720], [[[1, 4], [2, 1], [4, 2], [6, 4], [30, 1]], 13/171992678400], [[[1, 4], [2, 1], [4, 2], [6, 5], [18, 1]], 13/309586821120], [[[1, 4], [2, 1], [4, 2], [6, 6], [12, 1]], 13/1651129712640], [[[1, 4], [2, 1], [4, 2], [7, 2], [12, 1]], 1/75264], [[[1, 4], [2, 1], [4, 2], [8, 1], [10, 3]], 1/6144000], [[[1, 4], [2, 1], [4, 2], [8, 1], [12, 3]], 35/23887872], [[[1, 4], [2, 1], [4, 2], [8, 1], [28, 1]], 1/10752], [[[1, 4], [2, 1], [4, 2], [8, 1], [36, 1]], 5/82944], [[[1, 4], [2, 1], [4, 2], [8, 2], [10, 2]], 2281/4246732800], [[[1, 4], [2, 1], [4, 2], [8, 2], [12, 2]], 2281/2038431744], [[[1, 4], [2, 1], [4, 2], [8, 2], [15, 1]], 2281/212336640], [[[1, 4], [2, 1], [4, 2], [8, 2], [16, 1]], 31/196608], [[[1, 4], [2, 1], [4, 2], [8, 2], [20, 1]], 9193/141557760], [[[1, 4], [2, 1], [4, 2], [8, 2], [24, 1]], 5507/56623104], [[[1, 4], [2, 1], [4, 2], [8, 2], [30, 1]], 2281/212336640], [[[1, 4], [2, 1], [4, 2], [8, 3], [10, 1]], 1/1966080], [[[1, 4], [2, 1], [4, 2], [8, 3], [12, 1]], 11/5308416], [[[1, 4], [2, 1], [4, 2], [9, 2], [12, 1]], 7/3359232], [[[1, 4], [2, 1], [4, 2], [10, 2], [12, 2]], 13/6370099200], [[[1, 4], [2, 1], [4, 2], [10, 2], [15, 1]], 13/663552000], [[[1, 4], [2, 1], [4, 2], [10, 2], [20, 1]], 13/442368000], [[[1, 4], [2, 1], [4, 2], [10, 2], [24, 1]], 13/530841600], [[[1, 4], [2, 1], [4, 2], [10, 2], [30, 1]], 13/663552000], [[[1, 4], [2, 1], [4, 2], [12, 1], [36, 1]], 13/3981312], [[[1, 4], [2, 1], [4, 2], [12, 2], [15, 1]], 13/318504960], [[[1, 4], [2, 1], [4, 2], [12, 2], [20, 1]], 13/212336640], [[[1, 4], [2, 1], [4, 2], [12, 2], [24, 1]], 169/254803968], [[[1, 4], [2, 1], [4, 2], [12, 2], [30, 1]], 13/318504960], [[[1, 4], [2, 1], [4, 2], [15, 1], [20, 1]], 13/22118400], [[[1, 4], [2, 1], [4, 2], [15, 1], [24, 1]], 13/26542080], [[[1, 4], [2, 1], [4, 2], [15, 1], [30, 1]], 13/2073600], [[[1, 4], [2, 1], [4, 2], [20, 1], [24, 1]], 13/17694720], [[[1, 4], [2, 1], [4, 2], [20, 1], [30, 1]], 13/22118400], [[[1, 4], [2, 1], [4, 2], [24, 1], [30, 1]], 13/26542080], [[[1, 4], [2, 1], [4, 3], [5, 2], [7, 1]], 1/25804800], [[[1, 4], [2, 1], [4, 3], [5, 2], [9, 1]], 1/99532800], [[[1, 4], [2, 1], [4, 3], [6, 1], [12, 3]], 7/71663616], [[[1, 4], [2, 1], [4, 3], [6, 1], [28, 1]], 1/64512], [[[1, 4], [2, 1], [4, 3], [6, 1], [36, 1]], 1/248832], [[[1, 4], [2, 1], [4, 3], [6, 3], [12, 2]], 1/23887872], [[[1, 4], [2, 1], [4, 3], [6, 4], [7, 1]], 1/6688604160], [[[1, 4], [2, 1], [4, 3], [6, 4], [9, 1]], 1/25798901760], [[[1, 4], [2, 1], [4, 3], [6, 5], [12, 1]], 1/12899450880], [[[1, 4], [2, 1], [4, 3], [7, 1], [8, 2]], 7/1179648], [[[1, 4], [2, 1], [4, 3], [7, 1], [10, 2]], 1/25804800], [[[1, 4], [2, 1], [4, 3], [7, 1], [12, 2]], 55/1769472], [[[1, 4], [2, 1], [4, 3], [7, 1], [15, 1]], 1/1290240], [[[1, 4], [2, 1], [4, 3], [7, 1], [16, 1]], 1/43008], [[[1, 4], [2, 1], [4, 3], [7, 1], [20, 1]], 13/172032], [[[1, 4], [2, 1], [4, 3], [7, 1], [24, 1]], 1/1032192], [[[1, 4], [2, 1], [4, 3], [7, 1], [30, 1]], 1/1290240], [[[1, 4], [2, 1], [4, 3], [8, 2], [9, 1]], 49/31850496], [[[1, 4], [2, 1], [4, 3], [9, 1], [10, 2]], 1/99532800], [[[1, 4], [2, 1], [4, 3], [9, 1], [12, 2]], 385/47775744], [[[1, 4], [2, 1], [4, 3], [9, 1], [15, 1]], 1/4976640], [[[1, 4], [2, 1], [4, 3], [9, 1], [16, 1]], 1/165888], [[[1, 4], [2, 1], [4, 3], [9, 1], [20, 1]], 13/663552], [[[1, 4], [2, 1], [4, 3], [9, 1], [24, 1]], 1/3981312], [[[1, 4], [2, 1], [4, 3], [9, 1], [30, 1]], 1/4976640], [[[1, 4], [2, 1], [4, 4], [5, 1], [6, 4]], 11/17199267840000], [[[1, 4], [2, 1], [4, 4], [5, 1], [8, 2]], 2651/21233664000], [[[1, 4], [2, 1], [4, 4], [5, 1], [10, 2]], 11/66355200000], [[[1, 4], [2, 1], [4, 4], [5, 1], [12, 2]], 42251/31850496000], [[[1, 4], [2, 1], [4, 4], [5, 1], [15, 1]], 11/3317760000], [[[1, 4], [2, 1], [4, 4], [5, 1], [20, 1]], 847/442368000], [[[1, 4], [2, 1], [4, 4], [5, 1], [24, 1]], 11/2654208000], [[[1, 4], [2, 1], [4, 4], [5, 1], [30, 1]], 11/3317760000], [[[1, 4], [2, 1], [4, 4], [5, 2], [8, 1]], 181/21233664000], [[[1, 4], [2, 1], [4, 4], [5, 2], [12, 1]], 13/1592524800], [[[1, 4], [2, 1], [4, 4], [6, 2], [12, 2]], 13/764411904], [[[1, 4], [2, 1], [4, 4], [6, 3], [7, 1]], 1/6688604160], [[[1, 4], [2, 1], [4, 4], [6, 3], [9, 1]], 1/25798901760], [[[1, 4], [2, 1], [4, 4], [6, 4], [8, 1]], 181/5503765708800], [[[1, 4], [2, 1], [4, 4], [6, 4], [12, 1]], 13/412782428160], [[[1, 4], [2, 1], [4, 4], [7, 1], [9, 1]], 1/55738368], [[[1, 4], [2, 1], [4, 4], [7, 1], [14, 1]], 1/72253440], [[[1, 4], [2, 1], [4, 4], [7, 1], [18, 1]], 1/92897280], [[[1, 4], [2, 1], [4, 4], [8, 1], [10, 2]], 181/21233664000], [[[1, 4], [2, 1], [4, 4], [8, 1], [12, 2]], 73141/10192158720], [[[1, 4], [2, 1], [4, 4], [8, 1], [15, 1]], 181/1061683200], [[[1, 4], [2, 1], [4, 4], [8, 1], [16, 1]], 61/9437184], [[[1, 4], [2, 1], [4, 4], [8, 1], [20, 1]], 2417/141557760], [[[1, 4], [2, 1], [4, 4], [8, 1], [24, 1]], 181/849346560], [[[1, 4], [2, 1], [4, 4], [8, 1], [30, 1]], 181/1061683200], [[[1, 4], [2, 1], [4, 4], [8, 2], [12, 1]], 7621/509607936], [[[1, 4], [2, 1], [4, 4], [9, 1], [14, 1]], 1/278691840], [[[1, 4], [2, 1], [4, 4], [9, 1], [18, 1]], 1/358318080], [[[1, 4], [2, 1], [4, 4], [10, 2], [12, 1]], 13/1592524800], [[[1, 4], [2, 1], [4, 4], [12, 1], [15, 1]], 13/79626240], [[[1, 4], [2, 1], [4, 4], [12, 1], [20, 1]], 169/53084160], [[[1, 4], [2, 1], [4, 4], [12, 1], [24, 1]], 91/63700992], [[[1, 4], [2, 1], [4, 4], [12, 1], [30, 1]], 13/79626240], [[[1, 4], [2, 1], [4, 5], [5, 1], [7, 1]], 1/103219200], [[[1, 4], [2, 1], [4, 5], [5, 1], [9, 1]], 1/398131200], [[[1, 4], [2, 1], [4, 5], [5, 2], [6, 1]], 1/31850496000], [[[1, 4], [2, 1], [4, 5], [6, 1], [8, 2]], 259/10192158720], [[[1, 4], [2, 1], [4, 5], [6, 1], [10, 2]], 1/31850496000], [[[1, 4], [2, 1], [4, 5], [6, 1], [12, 2]], 3841/15288238080], [[[1, 4], [2, 1], [4, 5], [6, 1], [15, 1]], 1/1592524800], [[[1, 4], [2, 1], [4, 5], [6, 1], [20, 1]], 77/212336640], [[[1, 4], [2, 1], [4, 5], [6, 1], [24, 1]], 1/1274019840], [[[1, 4], [2, 1], [4, 5], [6, 1], [30, 1]], 1/1592524800], [[[1, 4], [2, 1], [4, 5], [6, 2], [18, 1]], 1/2866544640], [[[1, 4], [2, 1], [4, 5], [6, 3], [8, 1]], 1/30576476160], [[[1, 4], [2, 1], [4, 5], [6, 3], [12, 1]], 1/15288238080], [[[1, 4], [2, 1], [4, 5], [7, 1], [8, 1]], 17/27525120], [[[1, 4], [2, 1], [4, 5], [7, 1], [10, 1]], 1/103219200], [[[1, 4], [2, 1], [4, 5], [7, 1], [12, 1]], 17/12386304], [[[1, 4], [2, 1], [4, 5], [8, 1], [9, 1]], 103/637009920], [[[1, 4], [2, 1], [4, 5], [8, 1], [14, 1]], 1/330301440], [[[1, 4], [2, 1], [4, 5], [8, 1], [18, 1]], 1/424673280], [[[1, 4], [2, 1], [4, 5], [9, 1], [10, 1]], 1/398131200], [[[1, 4], [2, 1], [4, 5], [9, 1], [12, 1]], 17/47775744], [[[1, 4], [2, 1], [4, 6], [5, 1], [8, 1]], 1/471859200], [[[1, 4], [2, 1], [4, 6], [5, 1], [12, 1]], 209/23887872000], [[[1, 4], [2, 1], [4, 6], [6, 1], [18, 1]], 13/91729428480], [[[1, 4], [2, 1], [4, 6], [6, 2], [12, 1]], 13/489223618560], [[[1, 4], [2, 1], [4, 6], [8, 1], [10, 1]], 1/471859200], [[[1, 4], [2, 1], [4, 6], [8, 1], [12, 1]], 1157/3822059520], [[[1, 4], [2, 1], [4, 7], [6, 1], [12, 1]], 19/11466178560], [[[1, 4], [2, 1], [5, 1], [6, 2], [12, 3]], 11/199065600], [[[1, 4], [2, 1], [5, 1], [6, 2], [18, 2]], 11/13996800], [[[1, 4], [2, 1], [5, 1], [6, 4], [8, 2]], 11/71663616000], [[[1, 4], [2, 1], [5, 1], [6, 4], [10, 2]], 11/223948800000], [[[1, 4], [2, 1], [5, 1], [6, 4], [12, 2]], 2981/107495424000], [[[1, 4], [2, 1], [5, 1], [6, 4], [15, 1]], 11/11197440000], [[[1, 4], [2, 1], [5, 1], [6, 4], [20, 1]], 11/7464960000], [[[1, 4], [2, 1], [5, 1], [6, 4], [24, 1]], 11/8957952000], [[[1, 4], [2, 1], [5, 1], [6, 4], [30, 1]], 11/11197440000], [[[1, 4], [2, 1], [5, 1], [6, 5], [18, 1]], 11/20155392000], [[[1, 4], [2, 1], [5, 1], [6, 6], [12, 1]], 11/107495424000], [[[1, 4], [2, 1], [5, 1], [8, 2], [10, 2]], 11/276480000], [[[1, 4], [2, 1], [5, 1], [8, 2], [12, 2]], 11/132710400], [[[1, 4], [2, 1], [5, 1], [8, 2], [15, 1]], 11/13824000], [[[1, 4], [2, 1], [5, 1], [8, 2], [20, 1]], 11/9216000], [[[1, 4], [2, 1], [5, 1], [8, 2], [24, 1]], 121/3686400], [[[1, 4], [2, 1], [5, 1], [8, 2], [30, 1]], 11/13824000], [[[1, 4], [2, 1], [5, 1], [10, 2], [12, 2]], 11/414720000], [[[1, 4], [2, 1], [5, 1], [10, 2], [15, 1]], 11/43200000], [[[1, 4], [2, 1], [5, 1], [10, 2], [20, 1]], 11/28800000], [[[1, 4], [2, 1], [5, 1], [10, 2], [24, 1]], 11/34560000], [[[1, 4], [2, 1], [5, 1], [10, 2], [30, 1]], 11/43200000], [[[1, 4], [2, 1], [5, 1], [12, 1], [36, 1]], 11/259200], [[[1, 4], [2, 1], [5, 1], [12, 2], [15, 1]], 11/20736000], [[[1, 4], [2, 1], [5, 1], [12, 2], [20, 1]], 11/13824000], [[[1, 4], [2, 1], [5, 1], [12, 2], [24, 1]], 143/16588800], [[[1, 4], [2, 1], [5, 1], [12, 2], [30, 1]], 11/20736000], [[[1, 4], [2, 1], [5, 1], [15, 1], [20, 1]], 11/1440000], [[[1, 4], [2, 1], [5, 1], [15, 1], [24, 1]], 11/1728000], [[[1, 4], [2, 1], [5, 1], [15, 1], [30, 1]], 11/135000], [[[1, 4], [2, 1], [5, 1], [20, 1], [24, 1]], 11/1152000], [[[1, 4], [2, 1], [5, 1], [20, 1], [30, 1]], 11/1440000], [[[1, 4], [2, 1], [5, 1], [24, 1], [30, 1]], 11/1728000], [[[1, 4], [2, 1], [5, 2], [6, 3], [7, 1]], 1/87091200], [[[1, 4], [2, 1], [5, 2], [6, 3], [9, 1]], 1/335923200], [[[1, 4], [2, 1], [5, 2], [6, 4], [8, 1]], 1/71663616000], [[[1, 4], [2, 1], [5, 2], [7, 1], [9, 1]], 1/725760], [[[1, 4], [2, 1], [5, 2], [7, 1], [14, 1]], 1/940800], [[[1, 4], [2, 1], [5, 2], [7, 1], [18, 1]], 1/1209600], [[[1, 4], [2, 1], [5, 2], [8, 1], [10, 2]], 301/276480000], [[[1, 4], [2, 1], [5, 2], [8, 1], [12, 2]], 1/132710400], [[[1, 4], [2, 1], [5, 2], [8, 1], [15, 1]], 1/13824000], [[[1, 4], [2, 1], [5, 2], [8, 1], [20, 1]], 1/9216000], [[[1, 4], [2, 1], [5, 2], [8, 1], [24, 1]], 1/11059200], [[[1, 4], [2, 1], [5, 2], [8, 1], [30, 1]], 1/13824000], [[[1, 4], [2, 1], [5, 2], [9, 1], [14, 1]], 1/3628800], [[[1, 4], [2, 1], [5, 2], [9, 1], [18, 1]], 1/4665600], [[[1, 4], [2, 1], [5, 3], [6, 1], [18, 1]], 11/77760000], [[[1, 4], [2, 1], [5, 3], [6, 2], [12, 1]], 11/414720000], [[[1, 4], [2, 1], [6, 1], [7, 1], [8, 3]], 1/516096], [[[1, 4], [2, 1], [6, 1], [7, 1], [10, 3]], 1/2016000], [[[1, 4], [2, 1], [6, 1], [7, 1], [12, 3]], 1/774144], [[[1, 4], [2, 1], [6, 1], [7, 1], [18, 2]], 1/108864], [[[1, 4], [2, 1], [6, 1], [7, 2], [18, 1]], 1/56448], [[[1, 4], [2, 1], [6, 1], [8, 3], [9, 1]], 1/1990656], [[[1, 4], [2, 1], [6, 1], [8, 3], [18, 1]], 1/7962624], [[[1, 4], [2, 1], [6, 1], [9, 1], [10, 3]], 1/7776000], [[[1, 4], [2, 1], [6, 1], [9, 1], [12, 3]], 1/2985984], [[[1, 4], [2, 1], [6, 1], [9, 1], [18, 2]], 1/419904], [[[1, 4], [2, 1], [6, 1], [9, 2], [18, 1]], 7/2519424], [[[1, 4], [2, 1], [6, 2], [7, 2], [12, 1]], 1/301056], [[[1, 4], [2, 1], [6, 2], [8, 1], [12, 3]], 1/63700992], [[[1, 4], [2, 1], [6, 2], [8, 1], [18, 2]], 1/4478976], [[[1, 4], [2, 1], [6, 2], [8, 3], [12, 1]], 1/42467328], [[[1, 4], [2, 1], [6, 2], [9, 2], [12, 1]], 7/13436928], [[[1, 4], [2, 1], [6, 3], [7, 1], [8, 2]], 1/27869184], [[[1, 4], [2, 1], [6, 3], [7, 1], [10, 2]], 1/87091200], [[[1, 4], [2, 1], [6, 3], [7, 1], [12, 2]], 55/41803776], [[[1, 4], [2, 1], [6, 3], [7, 1], [15, 1]], 1/4354560], [[[1, 4], [2, 1], [6, 3], [7, 1], [20, 1]], 1/2903040], [[[1, 4], [2, 1], [6, 3], [7, 1], [24, 1]], 1/3483648], [[[1, 4], [2, 1], [6, 3], [7, 1], [30, 1]], 1/4354560], [[[1, 4], [2, 1], [6, 3], [8, 2], [9, 1]], 1/107495424], [[[1, 4], [2, 1], [6, 3], [9, 1], [10, 2]], 1/335923200], [[[1, 4], [2, 1], [6, 3], [9, 1], [12, 2]], 55/161243136], [[[1, 4], [2, 1], [6, 3], [9, 1], [15, 1]], 1/16796160], [[[1, 4], [2, 1], [6, 3], [9, 1], [20, 1]], 1/11197440], [[[1, 4], [2, 1], [6, 3], [9, 1], [24, 1]], 1/13436928], [[[1, 4], [2, 1], [6, 3], [9, 1], [30, 1]], 1/16796160], [[[1, 4], [2, 1], [6, 4], [7, 1], [9, 1]], 1/188116992], [[[1, 4], [2, 1], [6, 4], [7, 1], [14, 1]], 1/243855360], [[[1, 4], [2, 1], [6, 4], [7, 1], [18, 1]], 41/313528320], [[[1, 4], [2, 1], [6, 4], [8, 1], [10, 2]], 1/71663616000], [[[1, 4], [2, 1], [6, 4], [8, 1], [12, 2]], 271/34398535680], [[[1, 4], [2, 1], [6, 4], [8, 1], [15, 1]], 1/3583180800], [[[1, 4], [2, 1], [6, 4], [8, 1], [20, 1]], 1/2388787200], [[[1, 4], [2, 1], [6, 4], [8, 1], [24, 1]], 1/2866544640], [[[1, 4], [2, 1], [6, 4], [8, 1], [30, 1]], 1/3583180800], [[[1, 4], [2, 1], [6, 4], [9, 1], [14, 1]], 1/940584960], [[[1, 4], [2, 1], [6, 4], [9, 1], [18, 1]], 41/1209323520], [[[1, 4], [2, 1], [6, 5], [7, 1], [8, 1]], 1/418037760], [[[1, 4], [2, 1], [6, 5], [7, 1], [10, 1]], 1/522547200], [[[1, 4], [2, 1], [6, 5], [7, 1], [12, 1]], 11/418037760], [[[1, 4], [2, 1], [6, 5], [8, 1], [9, 1]], 1/1612431360], [[[1, 4], [2, 1], [6, 5], [8, 1], [18, 1]], 1/6449725440], [[[1, 4], [2, 1], [6, 5], [9, 1], [10, 1]], 1/2015539200], [[[1, 4], [2, 1], [6, 5], [9, 1], [12, 1]], 11/1612431360], [[[1, 4], [2, 1], [6, 6], [8, 1], [12, 1]], 1/34398535680], [[[1, 4], [2, 1], [7, 1], [8, 2], [9, 1]], 5/1161216], [[[1, 4], [2, 1], [7, 1], [8, 2], [14, 1]], 1/301056], [[[1, 4], [2, 1], [7, 1], [8, 2], [18, 1]], 1/387072], [[[1, 4], [2, 1], [7, 1], [9, 1], [10, 2]], 1/725760], [[[1, 4], [2, 1], [7, 1], [9, 1], [12, 2]], 5/1741824], [[[1, 4], [2, 1], [7, 1], [9, 1], [15, 1]], 1/36288], [[[1, 4], [2, 1], [7, 1], [9, 1], [20, 1]], 1/24192], [[[1, 4], [2, 1], [7, 1], [9, 1], [24, 1]], 5/145152], [[[1, 4], [2, 1], [7, 1], [9, 1], [30, 1]], 1/36288], [[[1, 4], [2, 1], [7, 1], [10, 2], [14, 1]], 1/940800], [[[1, 4], [2, 1], [7, 1], [10, 2], [18, 1]], 1/1209600], [[[1, 4], [2, 1], [7, 1], [12, 2], [14, 1]], 1/451584], [[[1, 4], [2, 1], [7, 1], [12, 2], [18, 1]], 1/580608], [[[1, 4], [2, 1], [7, 1], [14, 1], [15, 1]], 1/47040], [[[1, 4], [2, 1], [7, 1], [14, 1], [20, 1]], 1/31360], [[[1, 4], [2, 1], [7, 1], [14, 1], [24, 1]], 1/37632], [[[1, 4], [2, 1], [7, 1], [14, 1], [30, 1]], 1/47040], [[[1, 4], [2, 1], [7, 1], [15, 1], [18, 1]], 1/60480], [[[1, 4], [2, 1], [7, 1], [18, 1], [20, 1]], 1/40320], [[[1, 4], [2, 1], [7, 1], [18, 1], [24, 1]], 1/48384], [[[1, 4], [2, 1], [7, 1], [18, 1], [30, 1]], 1/60480], [[[1, 4], [2, 1], [8, 1], [10, 2], [12, 2]], 1/132710400], [[[1, 4], [2, 1], [8, 1], [10, 2], [15, 1]], 1/13824000], [[[1, 4], [2, 1], [8, 1], [10, 2], [20, 1]], 1/9216000], [[[1, 4], [2, 1], [8, 1], [10, 2], [24, 1]], 1/11059200], [[[1, 4], [2, 1], [8, 1], [10, 2], [30, 1]], 1/13824000], [[[1, 4], [2, 1], [8, 1], [12, 1], [36, 1]], 1/82944], [[[1, 4], [2, 1], [8, 1], [12, 2], [15, 1]], 1/6635520], [[[1, 4], [2, 1], [8, 1], [12, 2], [20, 1]], 1/4423680], [[[1, 4], [2, 1], [8, 1], [12, 2], [24, 1]], 13/5308416], [[[1, 4], [2, 1], [8, 1], [12, 2], [30, 1]], 1/6635520], [[[1, 4], [2, 1], [8, 1], [15, 1], [20, 1]], 1/460800], [[[1, 4], [2, 1], [8, 1], [15, 1], [24, 1]], 1/552960], [[[1, 4], [2, 1], [8, 1], [15, 1], [30, 1]], 1/43200], [[[1, 4], [2, 1], [8, 1], [20, 1], [24, 1]], 1/368640], [[[1, 4], [2, 1], [8, 1], [20, 1], [30, 1]], 1/460800], [[[1, 4], [2, 1], [8, 1], [24, 1], [30, 1]], 1/552960], [[[1, 4], [2, 1], [8, 2], [9, 1], [14, 1]], 1/1161216], [[[1, 4], [2, 1], [8, 2], [9, 1], [18, 1]], 1/1492992], [[[1, 4], [2, 1], [9, 1], [10, 2], [14, 1]], 1/3628800], [[[1, 4], [2, 1], [9, 1], [10, 2], [18, 1]], 1/4665600], [[[1, 4], [2, 1], [9, 1], [12, 2], [14, 1]], 1/1741824], [[[1, 4], [2, 1], [9, 1], [12, 2], [18, 1]], 1/2239488], [[[1, 4], [2, 1], [9, 1], [14, 1], [15, 1]], 1/181440], [[[1, 4], [2, 1], [9, 1], [14, 1], [20, 1]], 1/120960], [[[1, 4], [2, 1], [9, 1], [14, 1], [24, 1]], 1/145152], [[[1, 4], [2, 1], [9, 1], [14, 1], [30, 1]], 1/181440], [[[1, 4], [2, 1], [9, 1], [15, 1], [18, 1]], 1/233280], [[[1, 4], [2, 1], [9, 1], [18, 1], [20, 1]], 1/155520], [[[1, 4], [2, 1], [9, 1], [18, 1], [24, 1]], 1/186624], [[[1, 4], [2, 1], [9, 1], [18, 1], [30, 1]], 1/233280], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 7]], 103/116095057920], [[[1, 4], [2, 3], [3, 1], [4, 2], [5, 3]], 643/110592000], [[[1, 4], [2, 3], [3, 1], [4, 2], [6, 6]], 2321/1857520926720], [[[1, 4], [2, 3], [3, 1], [4, 2], [7, 2]], 1/1806336], [[[1, 4], [2, 3], [3, 1], [4, 2], [8, 3]], 15929/169869312], [[[1, 4], [2, 3], [3, 1], [4, 2], [9, 2]], 1/279936], [[[1, 4], [2, 3], [3, 1], [4, 2], [10, 3]], 59/165888000], [[[1, 4], [2, 3], [3, 1], [4, 2], [12, 3]], 7531/191102976], [[[1, 4], [2, 3], [3, 1], [4, 2], [14, 2]], 1/602112], [[[1, 4], [2, 3], [3, 1], [4, 2], [18, 2]], 5/8957952], [[[1, 4], [2, 3], [3, 1], [4, 2], [28, 1]], 1/6144], [[[1, 4], [2, 3], [3, 1], [4, 2], [36, 1]], 19/165888], [[[1, 4], [2, 3], [3, 1], [4, 3], [6, 5]], 977/206391214080], [[[1, 4], [2, 3], [3, 1], [4, 4], [5, 2]], 18059/21233664000], [[[1, 4], [2, 3], [3, 1], [4, 4], [6, 4]], 305473/16511297126400], [[[1, 4], [2, 3], [3, 1], [4, 4], [8, 2]], 120079/6794772480], [[[1, 4], [2, 3], [3, 1], [4, 4], [10, 2]], 2137/7077888000], [[[1, 4], [2, 3], [3, 1], [4, 4], [12, 2]], 253451/10192158720], [[[1, 4], [2, 3], [3, 1], [4, 4], [15, 1]], 217/353894400], [[[1, 4], [2, 3], [3, 1], [4, 4], [16, 1]], 5/294912], [[[1, 4], [2, 3], [3, 1], [4, 4], [20, 1]], 1861/47185920], [[[1, 4], [2, 3], [3, 1], [4, 4], [24, 1]], 217/283115520], [[[1, 4], [2, 3], [3, 1], [4, 4], [30, 1]], 217/353894400], [[[1, 4], [2, 3], [3, 1], [4, 5], [6, 3]], 1/318504960], [[[1, 4], [2, 3], [3, 1], [4, 5], [7, 1]], 19/371589120], [[[1, 4], [2, 3], [3, 1], [4, 5], [9, 1]], 9251/22932357120], [[[1, 4], [2, 3], [3, 1], [4, 5], [14, 1]], 11/123863040], [[[1, 4], [2, 3], [3, 1], [4, 5], [18, 1]], 1/21233664], [[[1, 4], [2, 3], [3, 1], [4, 6], [5, 1]], 811/8493465600], [[[1, 4], [2, 3], [3, 1], [4, 6], [6, 2]], 1979/183458856960], [[[1, 4], [2, 3], [3, 1], [4, 6], [8, 1]], 39581/40768634880], [[[1, 4], [2, 3], [3, 1], [4, 6], [10, 1]], 419/12740198400], [[[1, 4], [2, 3], [3, 1], [4, 6], [12, 1]], 7295/6115295232], [[[1, 4], [2, 3], [3, 1], [4, 7], [6, 1]], 37243/428070666240], [[[1, 4], [2, 3], [3, 1], [5, 1], [6, 6]], 47/19349176320], [[[1, 4], [2, 3], [3, 1], [5, 1], [7, 2]], 1/47040], [[[1, 4], [2, 3], [3, 1], [5, 1], [8, 3]], 1/368640], [[[1, 4], [2, 3], [3, 1], [5, 1], [9, 2]], 7/466560], [[[1, 4], [2, 3], [3, 1], [5, 1], [10, 3]], 1/2160000], [[[1, 4], [2, 3], [3, 1], [5, 1], [12, 3]], 1/1105920], [[[1, 4], [2, 3], [3, 1], [5, 1], [14, 2]], 1/47040], [[[1, 4], [2, 3], [3, 1], [5, 1], [18, 2]], 1/116640], [[[1, 4], [2, 3], [3, 1], [5, 2], [6, 4]], 6307/214990848000], [[[1, 4], [2, 3], [3, 1], [5, 2], [8, 2]], 157/88473600], [[[1, 4], [2, 3], [3, 1], [5, 2], [10, 2]], 143/92160000], [[[1, 4], [2, 3], [3, 1], [5, 2], [12, 2]], 43/44236800], [[[1, 4], [2, 3], [3, 1], [5, 2], [15, 1]], 43/4608000], [[[1, 4], [2, 3], [3, 1], [5, 2], [20, 1]], 43/3072000], [[[1, 4], [2, 3], [3, 1], [5, 2], [24, 1]], 43/3686400], [[[1, 4], [2, 3], [3, 1], [5, 2], [30, 1]], 43/4608000], [[[1, 4], [2, 3], [3, 1], [5, 3], [6, 2]], 1/4976640], [[[1, 4], [2, 3], [3, 1], [5, 3], [8, 1]], 1/1152000], [[[1, 4], [2, 3], [3, 1], [5, 3], [10, 1]], 1/2160000], [[[1, 4], [2, 3], [3, 1], [5, 3], [12, 1]], 1/2304000], [[[1, 4], [2, 3], [3, 1], [6, 2], [7, 2]], 5/1354752], [[[1, 4], [2, 3], [3, 1], [6, 2], [8, 3]], 433/31850496], [[[1, 4], [2, 3], [3, 1], [6, 2], [9, 2]], 55/20155392], [[[1, 4], [2, 3], [3, 1], [6, 2], [10, 3]], 79/124416000], [[[1, 4], [2, 3], [3, 1], [6, 2], [12, 3]], 6361/573308928], [[[1, 4], [2, 3], [3, 1], [6, 2], [14, 2]], 1/451584], [[[1, 4], [2, 3], [3, 1], [6, 2], [18, 2]], 145/13436928], [[[1, 4], [2, 3], [3, 1], [6, 4], [8, 2]], 57847/68797071360], [[[1, 4], [2, 3], [3, 1], [6, 4], [10, 2]], 109603/214990848000], [[[1, 4], [2, 3], [3, 1], [6, 4], [12, 2]], 250573/103195607040], [[[1, 4], [2, 3], [3, 1], [6, 4], [15, 1]], 5923/10749542400], [[[1, 4], [2, 3], [3, 1], [6, 4], [20, 1]], 5923/7166361600], [[[1, 4], [2, 3], [3, 1], [6, 4], [24, 1]], 11683/8599633920], [[[1, 4], [2, 3], [3, 1], [6, 4], [30, 1]], 5923/10749542400], [[[1, 4], [2, 3], [3, 1], [6, 5], [7, 1]], 29/376233984], [[[1, 4], [2, 3], [3, 1], [6, 5], [9, 1]], 677/12899450880], [[[1, 4], [2, 3], [3, 1], [6, 5], [14, 1]], 89/1881169920], [[[1, 4], [2, 3], [3, 1], [6, 5], [18, 1]], 6547/19349176320], [[[1, 4], [2, 3], [3, 1], [6, 6], [8, 1]], 613/25798901760], [[[1, 4], [2, 3], [3, 1], [6, 6], [10, 1]], 719/32248627200], [[[1, 4], [2, 3], [3, 1], [6, 6], [12, 1]], 77227/928760463360], [[[1, 4], [2, 3], [3, 1], [7, 2], [8, 1]], 1/50176], [[[1, 4], [2, 3], [3, 1], [7, 2], [12, 1]], 5/225792], [[[1, 4], [2, 3], [3, 1], [8, 1], [9, 2]], 29/2239488], [[[1, 4], [2, 3], [3, 1], [8, 1], [10, 3]], 1/4608000], [[[1, 4], [2, 3], [3, 1], [8, 1], [12, 3]], 7/7962624], [[[1, 4], [2, 3], [3, 1], [8, 1], [14, 2]], 1/150528], [[[1, 4], [2, 3], [3, 1], [8, 1], [18, 2]], 1/248832], [[[1, 4], [2, 3], [3, 1], [8, 2], [10, 2]], 29/88473600], [[[1, 4], [2, 3], [3, 1], [8, 2], [12, 2]], 29/42467328], [[[1, 4], [2, 3], [3, 1], [8, 2], [15, 1]], 29/4423680], [[[1, 4], [2, 3], [3, 1], [8, 2], [16, 1]], 1/24576], [[[1, 4], [2, 3], [3, 1], [8, 2], [20, 1]], 29/2949120], [[[1, 4], [2, 3], [3, 1], [8, 2], [24, 1]], 61/3538944], [[[1, 4], [2, 3], [3, 1], [8, 2], [30, 1]], 29/4423680], [[[1, 4], [2, 3], [3, 1], [8, 3], [10, 1]], 1/1474560], [[[1, 4], [2, 3], [3, 1], [8, 3], [12, 1]], 7/5308416], [[[1, 4], [2, 3], [3, 1], [9, 2], [10, 1]], 7/1399680], [[[1, 4], [2, 3], [3, 1], [9, 2], [12, 1]], 1/124416], [[[1, 4], [2, 3], [3, 1], [10, 1], [12, 3]], 7/9953280], [[[1, 4], [2, 3], [3, 1], [10, 2], [12, 2]], 1/132710400], [[[1, 4], [2, 3], [3, 1], [10, 2], [15, 1]], 1/13824000], [[[1, 4], [2, 3], [3, 1], [10, 2], [20, 1]], 1/9216000], [[[1, 4], [2, 3], [3, 1], [10, 2], [24, 1]], 1/11059200], [[[1, 4], [2, 3], [3, 1], [10, 2], [30, 1]], 1/13824000], [[[1, 4], [2, 3], [3, 1], [10, 3], [12, 1]], 7/20736000], [[[1, 4], [2, 3], [3, 1], [12, 1], [14, 2]], 1/75264], [[[1, 4], [2, 3], [3, 1], [12, 1], [18, 2]], 7/1119744], [[[1, 4], [2, 3], [3, 1], [12, 1], [36, 1]], 1/82944], [[[1, 4], [2, 3], [3, 1], [12, 2], [15, 1]], 1/6635520], [[[1, 4], [2, 3], [3, 1], [12, 2], [20, 1]], 1/4423680], [[[1, 4], [2, 3], [3, 1], [12, 2], [24, 1]], 13/5308416], [[[1, 4], [2, 3], [3, 1], [12, 2], [30, 1]], 1/6635520], [[[1, 4], [2, 3], [3, 1], [15, 1], [20, 1]], 1/460800], [[[1, 4], [2, 3], [3, 1], [15, 1], [24, 1]], 1/552960], [[[1, 4], [2, 3], [3, 1], [15, 1], [30, 1]], 1/43200], [[[1, 4], [2, 3], [3, 1], [20, 1], [24, 1]], 1/368640], [[[1, 4], [2, 3], [3, 1], [20, 1], [30, 1]], 1/460800], [[[1, 4], [2, 3], [3, 1], [24, 1], [30, 1]], 1/552960], [[[1, 4], [2, 3], [3, 2], [4, 1], [5, 3]], 79/13824000], [[[1, 4], [2, 3], [3, 2], [4, 1], [6, 6]], 50777/2476694568960], [[[1, 4], [2, 3], [3, 2], [4, 1], [8, 3]], 851/63700992], [[[1, 4], [2, 3], [3, 2], [4, 1], [9, 2]], 11/1990656], [[[1, 4], [2, 3], [3, 2], [4, 1], [10, 3]], 1/8294400], [[[1, 4], [2, 3], [3, 2], [4, 1], [12, 3]], 21227/2293235712], [[[1, 4], [2, 3], [3, 2], [4, 1], [28, 1]], 5/96768], [[[1, 4], [2, 3], [3, 2], [4, 1], [36, 1]], 5/124416], [[[1, 4], [2, 3], [3, 2], [4, 2], [6, 5]], 5369687/14860167413760], [[[1, 4], [2, 3], [3, 2], [4, 3], [5, 2]], 523/796262400], [[[1, 4], [2, 3], [3, 2], [4, 3], [6, 4]], 2053/68797071360], [[[1, 4], [2, 3], [3, 2], [4, 3], [8, 2]], 691/254803968], [[[1, 4], [2, 3], [3, 2], [4, 3], [10, 2]], 19/796262400], [[[1, 4], [2, 3], [3, 2], [4, 3], [12, 2]], 1073/95551488], [[[1, 4], [2, 3], [3, 2], [4, 3], [15, 1]], 19/39813120], [[[1, 4], [2, 3], [3, 2], [4, 3], [16, 1]], 5/1327104], [[[1, 4], [2, 3], [3, 2], [4, 3], [20, 1]], 113/8847360], [[[1, 4], [2, 3], [3, 2], [4, 3], [24, 1]], 19/31850496], [[[1, 4], [2, 3], [3, 2], [4, 3], [30, 1]], 19/39813120], [[[1, 4], [2, 3], [3, 2], [4, 4], [6, 3]], 6634561/29720334827520], [[[1, 4], [2, 3], [3, 2], [4, 4], [7, 1]], 1/278691840], [[[1, 4], [2, 3], [3, 2], [4, 4], [9, 1]], 131/382205952], [[[1, 4], [2, 3], [3, 2], [4, 4], [14, 1]], 101/3344302080], [[[1, 4], [2, 3], [3, 2], [4, 4], [18, 1]], 29/3224862720], [[[1, 4], [2, 3], [3, 2], [4, 5], [5, 1]], 1/39321600], [[[1, 4], [2, 3], [3, 2], [4, 5], [6, 2]], 428249/244611809280], [[[1, 4], [2, 3], [3, 2], [4, 5], [8, 1]], 2027/15288238080], [[[1, 4], [2, 3], [3, 2], [4, 5], [10, 1]], 1/637009920], [[[1, 4], [2, 3], [3, 2], [4, 5], [12, 1]], 56939/122305904640], [[[1, 4], [2, 3], [3, 2], [4, 6], [6, 1]], 393653/4403012567040], [[[1, 4], [2, 3], [3, 2], [5, 1], [6, 5]], 697/17915904000], [[[1, 4], [2, 3], [3, 2], [5, 2], [6, 3]], 98383/386983526400], [[[1, 4], [2, 3], [3, 2], [5, 2], [7, 1]], 37/3628800], [[[1, 4], [2, 3], [3, 2], [5, 2], [9, 1]], 293/24883200], [[[1, 4], [2, 3], [3, 2], [5, 2], [14, 1]], 659/43545600], [[[1, 4], [2, 3], [3, 2], [5, 2], [18, 1]], 661/83980800], [[[1, 4], [2, 3], [3, 2], [5, 3], [6, 1]], 643/622080000], [[[1, 4], [2, 3], [3, 2], [6, 1], [7, 2]], 1/225792], [[[1, 4], [2, 3], [3, 2], [6, 1], [8, 3]], 871/63700992], [[[1, 4], [2, 3], [3, 2], [6, 1], [9, 2]], 359/26873856], [[[1, 4], [2, 3], [3, 2], [6, 1], [10, 3]], 23/149299200], [[[1, 4], [2, 3], [3, 2], [6, 1], [12, 3]], 49255/3439853568], [[[1, 4], [2, 3], [3, 2], [6, 1], [14, 2]], 1/903168], [[[1, 4], [2, 3], [3, 2], [6, 1], [18, 2]], 289/120932352], [[[1, 4], [2, 3], [3, 2], [6, 3], [8, 2]], 495607/123834728448], [[[1, 4], [2, 3], [3, 2], [6, 3], [10, 2]], 173551/386983526400], [[[1, 4], [2, 3], [3, 2], [6, 3], [12, 2]], 1092217/185752092672], [[[1, 4], [2, 3], [3, 2], [6, 3], [15, 1]], 56911/19349176320], [[[1, 4], [2, 3], [3, 2], [6, 3], [20, 1]], 56911/12899450880], [[[1, 4], [2, 3], [3, 2], [6, 3], [24, 1]], 206599/15479341056], [[[1, 4], [2, 3], [3, 2], [6, 3], [30, 1]], 56911/19349176320], [[[1, 4], [2, 3], [3, 2], [6, 4], [7, 1]], 421/940584960], [[[1, 4], [2, 3], [3, 2], [6, 4], [9, 1]], 235/429981696], [[[1, 4], [2, 3], [3, 2], [6, 4], [14, 1]], 457/1410877440], [[[1, 4], [2, 3], [3, 2], [6, 4], [18, 1]], 320839/174142586880], [[[1, 4], [2, 3], [3, 2], [6, 5], [8, 1]], 8501/51597803520], [[[1, 4], [2, 3], [3, 2], [6, 5], [10, 1]], 5909/38698352640], [[[1, 4], [2, 3], [3, 2], [6, 5], [12, 1]], 919421/1857520926720], [[[1, 4], [2, 3], [3, 2], [7, 1], [8, 2]], 5/580608], [[[1, 4], [2, 3], [3, 2], [7, 1], [10, 2]], 1/3628800], [[[1, 4], [2, 3], [3, 2], [7, 1], [12, 2]], 19/1741824], [[[1, 4], [2, 3], [3, 2], [7, 1], [15, 1]], 1/181440], [[[1, 4], [2, 3], [3, 2], [7, 1], [20, 1]], 1/120960], [[[1, 4], [2, 3], [3, 2], [7, 1], [24, 1]], 1/145152], [[[1, 4], [2, 3], [3, 2], [7, 1], [30, 1]], 1/181440], [[[1, 4], [2, 3], [3, 2], [8, 2], [9, 1]], 65/7962624], [[[1, 4], [2, 3], [3, 2], [8, 2], [14, 1]], 65/13934592], [[[1, 4], [2, 3], [3, 2], [8, 2], [18, 1]], 47/13436928], [[[1, 4], [2, 3], [3, 2], [9, 1], [10, 2]], 1/4976640], [[[1, 4], [2, 3], [3, 2], [9, 1], [12, 2]], 77/11943936], [[[1, 4], [2, 3], [3, 2], [9, 1], [15, 1]], 1/248832], [[[1, 4], [2, 3], [3, 2], [9, 1], [20, 1]], 1/165888], [[[1, 4], [2, 3], [3, 2], [9, 1], [24, 1]], 5/995328], [[[1, 4], [2, 3], [3, 2], [9, 1], [30, 1]], 1/248832], [[[1, 4], [2, 3], [3, 2], [10, 2], [14, 1]], 11/43545600], [[[1, 4], [2, 3], [3, 2], [10, 2], [18, 1]], 13/83980800], [[[1, 4], [2, 3], [3, 2], [12, 2], [14, 1]], 209/20901888], [[[1, 4], [2, 3], [3, 2], [12, 2], [18, 1]], 247/40310784], [[[1, 4], [2, 3], [3, 2], [14, 1], [15, 1]], 11/2177280], [[[1, 4], [2, 3], [3, 2], [14, 1], [20, 1]], 11/1451520], [[[1, 4], [2, 3], [3, 2], [14, 1], [24, 1]], 11/1741824], [[[1, 4], [2, 3], [3, 2], [14, 1], [30, 1]], 11/2177280], [[[1, 4], [2, 3], [3, 2], [15, 1], [18, 1]], 13/4199040], [[[1, 4], [2, 3], [3, 2], [18, 1], [20, 1]], 13/2799360], [[[1, 4], [2, 3], [3, 2], [18, 1], [24, 1]], 13/3359232], [[[1, 4], [2, 3], [3, 2], [18, 1], [30, 1]], 13/4199040], [[[1, 4], [2, 3], [3, 3], [4, 1], [6, 5]], 10397/23219011584], [[[1, 4], [2, 3], [3, 3], [4, 2], [5, 2]], 301/1433272320], [[[1, 4], [2, 3], [3, 3], [4, 2], [6, 4]], 2040599/371504185344], [[[1, 4], [2, 3], [3, 3], [4, 2], [8, 2]], 5285/2293235712], [[[1, 4], [2, 3], [3, 3], [4, 2], [10, 2]], 641/7166361600], [[[1, 4], [2, 3], [3, 3], [4, 2], [12, 2]], 12143/3439853568], [[[1, 4], [2, 3], [3, 3], [4, 2], [15, 1]], 13/71663616], [[[1, 4], [2, 3], [3, 3], [4, 2], [16, 1]], 1/497664], [[[1, 4], [2, 3], [3, 3], [4, 2], [20, 1]], 449/238878720], [[[1, 4], [2, 3], [3, 3], [4, 2], [24, 1]], 65/286654464], [[[1, 4], [2, 3], [3, 3], [4, 2], [30, 1]], 13/71663616], [[[1, 4], [2, 3], [3, 3], [4, 3], [6, 3]], 2525849/185752092672], [[[1, 4], [2, 3], [3, 3], [4, 3], [7, 1]], 1/47775744], [[[1, 4], [2, 3], [3, 3], [4, 3], [9, 1]], 119/429981696], [[[1, 4], [2, 3], [3, 3], [4, 3], [14, 1]], 5/334430208], [[[1, 4], [2, 3], [3, 3], [4, 3], [18, 1]], 13/1289945088], [[[1, 4], [2, 3], [3, 3], [4, 4], [5, 1]], 97/9555148800], [[[1, 4], [2, 3], [3, 3], [4, 4], [6, 2]], 8744251/4953389137920], [[[1, 4], [2, 3], [3, 3], [4, 4], [8, 1]], 13597/68797071360], [[[1, 4], [2, 3], [3, 3], [4, 4], [10, 1]], 727/85996339200], [[[1, 4], [2, 3], [3, 3], [4, 4], [12, 1]], 73369/275188285440], [[[1, 4], [2, 3], [3, 3], [4, 5], [6, 1]], 1/143327232], [[[1, 4], [2, 3], [3, 3], [5, 1], [6, 4]], 7547/32248627200], [[[1, 4], [2, 3], [3, 3], [5, 1], [8, 2]], 161/39813120], [[[1, 4], [2, 3], [3, 3], [5, 1], [10, 2]], 17/124416000], [[[1, 4], [2, 3], [3, 3], [5, 1], [12, 2]], 359/59719680], [[[1, 4], [2, 3], [3, 3], [5, 1], [15, 1]], 17/6220800], [[[1, 4], [2, 3], [3, 3], [5, 1], [20, 1]], 17/4147200], [[[1, 4], [2, 3], [3, 3], [5, 1], [24, 1]], 17/4976640], [[[1, 4], [2, 3], [3, 3], [5, 1], [30, 1]], 17/6220800], [[[1, 4], [2, 3], [3, 3], [5, 2], [6, 2]], 70609/64497254400], [[[1, 4], [2, 3], [3, 3], [5, 2], [8, 1]], 797/179159040], [[[1, 4], [2, 3], [3, 3], [5, 2], [10, 1]], 7/1119744000], [[[1, 4], [2, 3], [3, 3], [5, 2], [12, 1]], 157/26542080], [[[1, 4], [2, 3], [3, 3], [6, 2], [8, 2]], 68845/20639121408], [[[1, 4], [2, 3], [3, 3], [6, 2], [10, 2]], 11857/64497254400], [[[1, 4], [2, 3], [3, 3], [6, 2], [12, 2]], 168583/30958682112], [[[1, 4], [2, 3], [3, 3], [6, 2], [15, 1]], 8401/3224862720], [[[1, 4], [2, 3], [3, 3], [6, 2], [20, 1]], 8401/2149908480], [[[1, 4], [2, 3], [3, 3], [6, 2], [24, 1]], 29785/2579890176], [[[1, 4], [2, 3], [3, 3], [6, 2], [30, 1]], 8401/3224862720], [[[1, 4], [2, 3], [3, 3], [6, 3], [7, 1]], 6169/1693052928], [[[1, 4], [2, 3], [3, 3], [6, 3], [9, 1]], 30601229/104485552128], [[[1, 4], [2, 3], [3, 3], [6, 3], [14, 1]], 3329/1693052928], [[[1, 4], [2, 3], [3, 3], [6, 3], [18, 1]], 5089379/17414258688], [[[1, 4], [2, 3], [3, 3], [6, 4], [8, 1]], 284927/232190115840], [[[1, 4], [2, 3], [3, 3], [6, 4], [10, 1]], 271997/290237644800], [[[1, 4], [2, 3], [3, 3], [6, 4], [12, 1]], 1485929/928760463360], [[[1, 4], [2, 3], [3, 3], [7, 1], [9, 1]], 1/279936], [[[1, 4], [2, 3], [3, 3], [7, 1], [14, 1]], 17/3048192], [[[1, 4], [2, 3], [3, 3], [7, 1], [18, 1]], 13/23514624], [[[1, 4], [2, 3], [3, 3], [8, 1], [10, 2]], 97/895795200], [[[1, 4], [2, 3], [3, 3], [8, 1], [12, 2]], 2095/429981696], [[[1, 4], [2, 3], [3, 3], [8, 1], [15, 1]], 97/44789760], [[[1, 4], [2, 3], [3, 3], [8, 1], [16, 1]], 1/995328], [[[1, 4], [2, 3], [3, 3], [8, 1], [20, 1]], 97/29859840], [[[1, 4], [2, 3], [3, 3], [8, 1], [24, 1]], 97/35831808], [[[1, 4], [2, 3], [3, 3], [8, 1], [30, 1]], 97/44789760], [[[1, 4], [2, 3], [3, 3], [8, 2], [10, 1]], 7/358318080], [[[1, 4], [2, 3], [3, 3], [8, 2], [12, 1]], 173/42467328], [[[1, 4], [2, 3], [3, 3], [9, 1], [14, 1]], 11/3359232], [[[1, 4], [2, 3], [3, 3], [9, 1], [18, 1]], 145/45349632], [[[1, 4], [2, 3], [3, 3], [10, 1], [12, 2]], 77/107495424], [[[1, 4], [2, 3], [3, 3], [10, 1], [15, 1]], 7/55987200], [[[1, 4], [2, 3], [3, 3], [10, 1], [20, 1]], 7/37324800], [[[1, 4], [2, 3], [3, 3], [10, 1], [24, 1]], 7/44789760], [[[1, 4], [2, 3], [3, 3], [10, 1], [30, 1]], 7/55987200], [[[1, 4], [2, 3], [3, 3], [10, 2], [12, 1]], 17/132710400], [[[1, 4], [2, 3], [3, 3], [12, 1], [15, 1]], 17/6635520], [[[1, 4], [2, 3], [3, 3], [12, 1], [20, 1]], 17/4423680], [[[1, 4], [2, 3], [3, 3], [12, 1], [24, 1]], 17/5308416], [[[1, 4], [2, 3], [3, 3], [12, 1], [30, 1]], 17/6635520], [[[1, 4], [2, 3], [3, 3], [14, 1], [18, 1]], 1/2939328], [[[1, 4], [2, 3], [3, 4], [4, 1], [5, 2]], 33637/171992678400], [[[1, 4], [2, 3], [3, 4], [4, 1], [6, 4]], 197676767/44580502241280], [[[1, 4], [2, 3], [3, 4], [4, 1], [8, 2]], 133877/275188285440], [[[1, 4], [2, 3], [3, 4], [4, 1], [10, 2]], 6329/859963392000], [[[1, 4], [2, 3], [3, 4], [4, 1], [12, 2]], 118795/82556485632], [[[1, 4], [2, 3], [3, 4], [4, 1], [15, 1]], 1093/8599633920], [[[1, 4], [2, 3], [3, 4], [4, 1], [16, 1]], 1/238878720], [[[1, 4], [2, 3], [3, 4], [4, 1], [20, 1]], 1093/5733089280], [[[1, 4], [2, 3], [3, 4], [4, 1], [24, 1]], 1093/6879707136], [[[1, 4], [2, 3], [3, 4], [4, 1], [30, 1]], 1093/8599633920], [[[1, 4], [2, 3], [3, 4], [4, 2], [6, 3]], 43260217/8916100448256], [[[1, 4], [2, 3], [3, 4], [4, 2], [7, 1]], 1/70778880], [[[1, 4], [2, 3], [3, 4], [4, 2], [9, 1]], 2869/25798901760], [[[1, 4], [2, 3], [3, 4], [4, 2], [14, 1]], 4667/160526499840], [[[1, 4], [2, 3], [3, 4], [4, 2], [18, 1]], 1771/123834728448], [[[1, 4], [2, 3], [3, 4], [4, 3], [5, 1]], 2177/114661785600], [[[1, 4], [2, 3], [3, 4], [4, 3], [6, 2]], 2933/41278242816], [[[1, 4], [2, 3], [3, 4], [4, 3], [8, 1]], 33727/733835427840], [[[1, 4], [2, 3], [3, 4], [4, 3], [10, 1]], 13/1415577600], [[[1, 4], [2, 3], [3, 4], [4, 3], [12, 1]], 26707/206391214080], [[[1, 4], [2, 3], [3, 4], [4, 4], [6, 1]], 2516803/99067782758400], [[[1, 4], [2, 3], [3, 4], [5, 1], [6, 3]], 2502473/1451188224000], [[[1, 4], [2, 3], [3, 4], [5, 1], [7, 1]], 101/261273600], [[[1, 4], [2, 3], [3, 4], [5, 1], [9, 1]], 2363/1343692800], [[[1, 4], [2, 3], [3, 4], [5, 1], [14, 1]], 403/870912000], [[[1, 4], [2, 3], [3, 4], [5, 1], [18, 1]], 5243/20155392000], [[[1, 4], [2, 3], [3, 4], [5, 2], [6, 1]], 1288333/1289945088000], [[[1, 4], [2, 3], [3, 4], [6, 1], [8, 2]], 338437/412782428160], [[[1, 4], [2, 3], [3, 4], [6, 1], [10, 2]], 45037/1289945088000], [[[1, 4], [2, 3], [3, 4], [6, 1], [12, 2]], 1875523/619173642240], [[[1, 4], [2, 3], [3, 4], [6, 1], [15, 1]], 44173/64497254400], [[[1, 4], [2, 3], [3, 4], [6, 1], [20, 1]], 44173/42998169600], [[[1, 4], [2, 3], [3, 4], [6, 1], [24, 1]], 90253/51597803520], [[[1, 4], [2, 3], [3, 4], [6, 1], [30, 1]], 44173/64497254400], [[[1, 4], [2, 3], [3, 4], [6, 2], [7, 1]], 421/940584960], [[[1, 4], [2, 3], [3, 4], [6, 2], [9, 1]], 4247539/29023764480], [[[1, 4], [2, 3], [3, 4], [6, 2], [14, 1]], 1913/7524679680], [[[1, 4], [2, 3], [3, 4], [6, 2], [18, 1]], 954563/38698352640], [[[1, 4], [2, 3], [3, 4], [6, 3], [8, 1]], 558709/464380231680], [[[1, 4], [2, 3], [3, 4], [6, 3], [10, 1]], 2821/21499084800], [[[1, 4], [2, 3], [3, 4], [6, 3], [12, 1]], 10726823/5572562780160], [[[1, 4], [2, 3], [3, 4], [7, 1], [8, 1]], 1/2949120], [[[1, 4], [2, 3], [3, 4], [7, 1], [10, 1]], 1/261273600], [[[1, 4], [2, 3], [3, 4], [7, 1], [12, 1]], 5/5225472], [[[1, 4], [2, 3], [3, 4], [8, 1], [9, 1]], 4487/3224862720], [[[1, 4], [2, 3], [3, 4], [8, 1], [14, 1]], 101/418037760], [[[1, 4], [2, 3], [3, 4], [8, 1], [18, 1]], 1051/6449725440], [[[1, 4], [2, 3], [3, 4], [9, 1], [10, 1]], 287/4031078400], [[[1, 4], [2, 3], [3, 4], [9, 1], [12, 1]], 71/35831808], [[[1, 4], [2, 3], [3, 4], [10, 1], [14, 1]], 1/696729600], [[[1, 4], [2, 3], [3, 4], [10, 1], [18, 1]], 1/895795200], [[[1, 4], [2, 3], [3, 4], [12, 1], [14, 1]], 55/62705664], [[[1, 4], [2, 3], [3, 4], [12, 1], [18, 1]], 65/120932352], [[[1, 4], [2, 3], [3, 5], [4, 1], [6, 3]], 76453/116095057920], [[[1, 4], [2, 3], [3, 5], [4, 1], [7, 1]], 1/313528320], [[[1, 4], [2, 3], [3, 5], [4, 1], [9, 1]], 1867/25798901760], [[[1, 4], [2, 3], [3, 5], [4, 1], [14, 1]], 1/418037760], [[[1, 4], [2, 3], [3, 5], [4, 1], [18, 1]], 1/644972544], [[[1, 4], [2, 3], [3, 5], [4, 2], [5, 1]], 227/28665446400], [[[1, 4], [2, 3], [3, 5], [4, 2], [6, 2]], 300617/619173642240], [[[1, 4], [2, 3], [3, 5], [4, 2], [8, 1]], 1661/137594142720], [[[1, 4], [2, 3], [3, 5], [4, 2], [10, 1]], 59/42998169600], [[[1, 4], [2, 3], [3, 5], [4, 2], [12, 1]], 109/2293235712], [[[1, 4], [2, 3], [3, 5], [4, 3], [6, 1]], 1937/206391214080], [[[1, 4], [2, 3], [3, 5], [5, 1], [6, 2]], 1367/6449725440], [[[1, 4], [2, 3], [3, 5], [5, 1], [8, 1]], 143/895795200], [[[1, 4], [2, 3], [3, 5], [5, 1], [10, 1]], 1/559872000], [[[1, 4], [2, 3], [3, 5], [5, 1], [12, 1]], 833/1791590400], [[[1, 4], [2, 3], [3, 5], [6, 1], [7, 1]], 29/376233984], [[[1, 4], [2, 3], [3, 5], [6, 1], [9, 1]], 16271/38698352640], [[[1, 4], [2, 3], [3, 5], [6, 1], [14, 1]], 89/1881169920], [[[1, 4], [2, 3], [3, 5], [6, 1], [18, 1]], 41/716636160], [[[1, 4], [2, 3], [3, 5], [6, 2], [8, 1]], 1261/8599633920], [[[1, 4], [2, 3], [3, 5], [6, 2], [10, 1]], 263/10749542400], [[[1, 4], [2, 3], [3, 5], [6, 2], [12, 1]], 144899/309586821120], [[[1, 4], [2, 3], [3, 5], [8, 1], [10, 1]], 1/1194393600], [[[1, 4], [2, 3], [3, 5], [8, 1], [12, 1]], 1577/4299816960], [[[1, 4], [2, 3], [3, 5], [10, 1], [12, 1]], 77/5374771200], [[[1, 4], [2, 3], [3, 6], [4, 1], [5, 1]], 113/32248627200], [[[1, 4], [2, 3], [3, 6], [4, 1], [6, 2]], 52697/2476694568960], [[[1, 4], [2, 3], [3, 6], [4, 1], [8, 1]], 1241/154793410560], [[[1, 4], [2, 3], [3, 6], [4, 1], [10, 1]], 13/6449725440], [[[1, 4], [2, 3], [3, 6], [4, 1], [12, 1]], 22187/1238347284480], [[[1, 4], [2, 3], [3, 6], [4, 2], [6, 1]], 122351/44580502241280], [[[1, 4], [2, 3], [3, 6], [5, 1], [6, 1]], 5843/161243136000], [[[1, 4], [2, 3], [3, 6], [6, 1], [8, 1]], 3773/154793410560], [[[1, 4], [2, 3], [3, 6], [6, 1], [10, 1]], 49/23219011584], [[[1, 4], [2, 3], [3, 6], [6, 1], [12, 1]], 575413/5572562780160], [[[1, 4], [2, 3], [3, 7], [4, 1], [6, 1]], 31/23219011584], [[[1, 4], [2, 3], [4, 1], [5, 1], [6, 6]], 13/10749542400], [[[1, 4], [2, 3], [4, 1], [5, 1], [7, 2]], 3/125440], [[[1, 4], [2, 3], [4, 1], [5, 1], [8, 3]], 373/29491200], [[[1, 4], [2, 3], [4, 1], [5, 1], [9, 2]], 1/124416], [[[1, 4], [2, 3], [4, 1], [5, 1], [10, 3]], 1/240000], [[[1, 4], [2, 3], [4, 1], [5, 1], [12, 3]], 7/1990656], [[[1, 4], [2, 3], [4, 1], [5, 1], [14, 2]], 1/125440], [[[1, 4], [2, 3], [4, 1], [5, 1], [18, 2]], 1/207360], [[[1, 4], [2, 3], [4, 1], [5, 1], [28, 1]], 1/5376], [[[1, 4], [2, 3], [4, 1], [5, 1], [36, 1]], 1/6912], [[[1, 4], [2, 3], [4, 1], [5, 2], [6, 4]], 997/171992678400], [[[1, 4], [2, 3], [4, 1], [5, 2], [8, 2]], 3157/1061683200], [[[1, 4], [2, 3], [4, 1], [5, 2], [10, 2]], 9829/3317760000], [[[1, 4], [2, 3], [4, 1], [5, 2], [12, 2]], 293/318504960], [[[1, 4], [2, 3], [4, 1], [5, 2], [15, 1]], 293/33177600], [[[1, 4], [2, 3], [4, 1], [5, 2], [16, 1]], 1/921600], [[[1, 4], [2, 3], [4, 1], [5, 2], [20, 1]], 293/22118400], [[[1, 4], [2, 3], [4, 1], [5, 2], [24, 1]], 293/26542080], [[[1, 4], [2, 3], [4, 1], [5, 2], [30, 1]], 293/33177600], [[[1, 4], [2, 3], [4, 1], [5, 3], [6, 2]], 1/13824000], [[[1, 4], [2, 3], [4, 1], [5, 3], [8, 1]], 173/92160000], [[[1, 4], [2, 3], [4, 1], [5, 3], [10, 1]], 1/240000], [[[1, 4], [2, 3], [4, 1], [5, 3], [12, 1]], 1/1382400], [[[1, 4], [2, 3], [4, 1], [6, 2], [8, 3]], 169/14155776], [[[1, 4], [2, 3], [4, 1], [6, 2], [10, 3]], 83/41472000], [[[1, 4], [2, 3], [4, 1], [6, 2], [12, 3]], 1427/254803968], [[[1, 4], [2, 3], [4, 1], [6, 2], [18, 2]], 67/17915904], [[[1, 4], [2, 3], [4, 1], [6, 2], [28, 1]], 1/32256], [[[1, 4], [2, 3], [4, 1], [6, 2], [36, 1]], 1/41472], [[[1, 4], [2, 3], [4, 1], [6, 4], [8, 2]], 103157/275188285440], [[[1, 4], [2, 3], [4, 1], [6, 4], [10, 2]], 73529/859963392000], [[[1, 4], [2, 3], [4, 1], [6, 4], [12, 2]], 74635/82556485632], [[[1, 4], [2, 3], [4, 1], [6, 4], [15, 1]], 709/8599633920], [[[1, 4], [2, 3], [4, 1], [6, 4], [16, 1]], 1/238878720], [[[1, 4], [2, 3], [4, 1], [6, 4], [20, 1]], 709/5733089280], [[[1, 4], [2, 3], [4, 1], [6, 4], [24, 1]], 709/6879707136], [[[1, 4], [2, 3], [4, 1], [6, 4], [30, 1]], 709/8599633920], [[[1, 4], [2, 3], [4, 1], [6, 5], [7, 1]], 1/313528320], [[[1, 4], [2, 3], [4, 1], [6, 5], [9, 1]], 1/644972544], [[[1, 4], [2, 3], [4, 1], [6, 5], [14, 1]], 1/627056640], [[[1, 4], [2, 3], [4, 1], [6, 5], [18, 1]], 1211/25798901760], [[[1, 4], [2, 3], [4, 1], [6, 6], [8, 1]], 539/103195607040], [[[1, 4], [2, 3], [4, 1], [6, 6], [10, 1]], 7/3583180800], [[[1, 4], [2, 3], [4, 1], [6, 6], [12, 1]], 4729/412782428160], [[[1, 4], [2, 3], [4, 1], [7, 2], [8, 1]], 17/200704], [[[1, 4], [2, 3], [4, 1], [7, 2], [10, 1]], 3/125440], [[[1, 4], [2, 3], [4, 1], [7, 2], [12, 1]], 1/25088], [[[1, 4], [2, 3], [4, 1], [8, 1], [9, 2]], 83/2985984], [[[1, 4], [2, 3], [4, 1], [8, 1], [10, 3]], 49/36864000], [[[1, 4], [2, 3], [4, 1], [8, 1], [12, 3]], 73/15925248], [[[1, 4], [2, 3], [4, 1], [8, 1], [14, 2]], 13/401408], [[[1, 4], [2, 3], [4, 1], [8, 1], [18, 2]], 35/1990656], [[[1, 4], [2, 3], [4, 1], [8, 1], [28, 1]], 1/6144], [[[1, 4], [2, 3], [4, 1], [8, 1], [36, 1]], 7/55296], [[[1, 4], [2, 3], [4, 1], [8, 2], [10, 2]], 2581/1061683200], [[[1, 4], [2, 3], [4, 1], [8, 2], [12, 2]], 1717/509607936], [[[1, 4], [2, 3], [4, 1], [8, 2], [15, 1]], 1717/53084160], [[[1, 4], [2, 3], [4, 1], [8, 2], [16, 1]], 311/589824], [[[1, 4], [2, 3], [4, 1], [8, 2], [20, 1]], 5749/35389440], [[[1, 4], [2, 3], [4, 1], [8, 2], [24, 1]], 3527/14155776], [[[1, 4], [2, 3], [4, 1], [8, 2], [30, 1]], 1717/53084160], [[[1, 4], [2, 3], [4, 1], [8, 3], [10, 1]], 97/11796480], [[[1, 4], [2, 3], [4, 1], [8, 3], [12, 1]], 5/1179648], [[[1, 4], [2, 3], [4, 1], [9, 2], [10, 1]], 1/124416], [[[1, 4], [2, 3], [4, 1], [9, 2], [12, 1]], 5/373248], [[[1, 4], [2, 3], [4, 1], [10, 1], [12, 3]], 7/3317760], [[[1, 4], [2, 3], [4, 1], [10, 1], [14, 2]], 1/125440], [[[1, 4], [2, 3], [4, 1], [10, 1], [18, 2]], 1/207360], [[[1, 4], [2, 3], [4, 1], [10, 1], [28, 1]], 1/8960], [[[1, 4], [2, 3], [4, 1], [10, 1], [36, 1]], 1/11520], [[[1, 4], [2, 3], [4, 1], [10, 2], [12, 2]], 889/1592524800], [[[1, 4], [2, 3], [4, 1], [10, 2], [15, 1]], 889/165888000], [[[1, 4], [2, 3], [4, 1], [10, 2], [16, 1]], 1/921600], [[[1, 4], [2, 3], [4, 1], [10, 2], [20, 1]], 889/110592000], [[[1, 4], [2, 3], [4, 1], [10, 2], [24, 1]], 889/132710400], [[[1, 4], [2, 3], [4, 1], [10, 2], [30, 1]], 889/165888000], [[[1, 4], [2, 3], [4, 1], [10, 3], [12, 1]], 1/2304000], [[[1, 4], [2, 3], [4, 1], [12, 1], [14, 2]], 1/75264], [[[1, 4], [2, 3], [4, 1], [12, 1], [18, 2]], 1/124416], [[[1, 4], [2, 3], [4, 1], [12, 1], [36, 1]], 25/995328], [[[1, 4], [2, 3], [4, 1], [12, 2], [15, 1]], 5/15925248], [[[1, 4], [2, 3], [4, 1], [12, 2], [16, 1]], 1/442368], [[[1, 4], [2, 3], [4, 1], [12, 2], [20, 1]], 5/10616832], [[[1, 4], [2, 3], [4, 1], [12, 2], [24, 1]], 325/63700992], [[[1, 4], [2, 3], [4, 1], [12, 2], [30, 1]], 5/15925248], [[[1, 4], [2, 3], [4, 1], [15, 1], [16, 1]], 1/46080], [[[1, 4], [2, 3], [4, 1], [15, 1], [20, 1]], 1/221184], [[[1, 4], [2, 3], [4, 1], [15, 1], [24, 1]], 5/1327104], [[[1, 4], [2, 3], [4, 1], [15, 1], [30, 1]], 1/20736], [[[1, 4], [2, 3], [4, 1], [16, 1], [20, 1]], 1/30720], [[[1, 4], [2, 3], [4, 1], [16, 1], [24, 1]], 1/36864], [[[1, 4], [2, 3], [4, 1], [16, 1], [30, 1]], 1/46080], [[[1, 4], [2, 3], [4, 1], [20, 1], [24, 1]], 5/884736], [[[1, 4], [2, 3], [4, 1], [20, 1], [30, 1]], 1/221184], [[[1, 4], [2, 3], [4, 1], [24, 1], [30, 1]], 5/1327104], [[[1, 4], [2, 3], [4, 2], [5, 1], [6, 5]], 221/214990848000], [[[1, 4], [2, 3], [4, 2], [5, 2], [6, 3]], 10903/171992678400], [[[1, 4], [2, 3], [4, 2], [5, 2], [7, 1]], 121/10321920], [[[1, 4], [2, 3], [4, 2], [5, 2], [9, 1]], 121/19906560], [[[1, 4], [2, 3], [4, 2], [5, 2], [14, 1]], 3643/619315200], [[[1, 4], [2, 3], [4, 2], [5, 2], [18, 1]], 10903/2388787200], [[[1, 4], [2, 3], [4, 2], [5, 3], [6, 1]], 221/829440000], [[[1, 4], [2, 3], [4, 2], [6, 1], [7, 2]], 1/602112], [[[1, 4], [2, 3], [4, 2], [6, 1], [8, 3]], 15605/169869312], [[[1, 4], [2, 3], [4, 2], [6, 1], [9, 2]], 7/26873856], [[[1, 4], [2, 3], [4, 2], [6, 1], [10, 3]], 3979/1327104000], [[[1, 4], [2, 3], [4, 2], [6, 1], [12, 3]], 407743/13759414272], [[[1, 4], [2, 3], [4, 2], [6, 1], [18, 2]], 535/214990848], [[[1, 4], [2, 3], [4, 2], [6, 1], [28, 1]], 97/774144], [[[1, 4], [2, 3], [4, 2], [6, 1], [36, 1]], 265/2985984], [[[1, 4], [2, 3], [4, 2], [6, 3], [8, 2]], 88987/55037657088], [[[1, 4], [2, 3], [4, 2], [6, 3], [10, 2]], 10903/171992678400], [[[1, 4], [2, 3], [4, 2], [6, 3], [12, 2]], 188689/82556485632], [[[1, 4], [2, 3], [4, 2], [6, 3], [15, 1]], 107/1719926784], [[[1, 4], [2, 3], [4, 2], [6, 3], [16, 1]], 1/663552], [[[1, 4], [2, 3], [4, 2], [6, 3], [20, 1]], 7447/5733089280], [[[1, 4], [2, 3], [4, 2], [6, 3], [24, 1]], 535/6879707136], [[[1, 4], [2, 3], [4, 2], [6, 3], [30, 1]], 107/1719926784], [[[1, 4], [2, 3], [4, 2], [6, 4], [7, 1]], 1/70778880], [[[1, 4], [2, 3], [4, 2], [6, 4], [9, 1]], 109/25798901760], [[[1, 4], [2, 3], [4, 2], [6, 4], [14, 1]], 187/160526499840], [[[1, 4], [2, 3], [4, 2], [6, 4], [18, 1]], 4387/123834728448], [[[1, 4], [2, 3], [4, 2], [6, 5], [8, 1]], 569/137594142720], [[[1, 4], [2, 3], [4, 2], [6, 5], [10, 1]], 523/343985356800], [[[1, 4], [2, 3], [4, 2], [6, 5], [12, 1]], 8987/495338913792], [[[1, 4], [2, 3], [4, 2], [7, 1], [8, 2]], 4817/16515072], [[[1, 4], [2, 3], [4, 2], [7, 1], [10, 2]], 121/10321920], [[[1, 4], [2, 3], [4, 2], [7, 1], [12, 2]], 2333/24772608], [[[1, 4], [2, 3], [4, 2], [7, 1], [15, 1]], 29/2580480], [[[1, 4], [2, 3], [4, 2], [7, 1], [16, 1]], 1/3584], [[[1, 4], [2, 3], [4, 2], [7, 1], [20, 1]], 59/245760], [[[1, 4], [2, 3], [4, 2], [7, 1], [24, 1]], 29/2064384], [[[1, 4], [2, 3], [4, 2], [7, 1], [30, 1]], 29/2580480], [[[1, 4], [2, 3], [4, 2], [8, 2], [9, 1]], 4817/31850496], [[[1, 4], [2, 3], [4, 2], [8, 2], [14, 1]], 31183/198180864], [[[1, 4], [2, 3], [4, 2], [8, 2], [18, 1]], 88987/764411904], [[[1, 4], [2, 3], [4, 2], [9, 1], [10, 2]], 121/19906560], [[[1, 4], [2, 3], [4, 2], [9, 1], [12, 2]], 2333/47775744], [[[1, 4], [2, 3], [4, 2], [9, 1], [15, 1]], 29/4976640], [[[1, 4], [2, 3], [4, 2], [9, 1], [16, 1]], 1/6912], [[[1, 4], [2, 3], [4, 2], [9, 1], [20, 1]], 413/3317760], [[[1, 4], [2, 3], [4, 2], [9, 1], [24, 1]], 29/3981312], [[[1, 4], [2, 3], [4, 2], [9, 1], [30, 1]], 29/4976640], [[[1, 4], [2, 3], [4, 2], [10, 2], [14, 1]], 3643/619315200], [[[1, 4], [2, 3], [4, 2], [10, 2], [18, 1]], 10903/2388787200], [[[1, 4], [2, 3], [4, 2], [12, 2], [14, 1]], 14011/297271296], [[[1, 4], [2, 3], [4, 2], [12, 2], [18, 1]], 42007/1146617856], [[[1, 4], [2, 3], [4, 2], [14, 1], [15, 1]], 187/30965760], [[[1, 4], [2, 3], [4, 2], [14, 1], [16, 1]], 1/7168], [[[1, 4], [2, 3], [4, 2], [14, 1], [20, 1]], 2491/20643840], [[[1, 4], [2, 3], [4, 2], [14, 1], [24, 1]], 187/24772608], [[[1, 4], [2, 3], [4, 2], [14, 1], [30, 1]], 187/30965760], [[[1, 4], [2, 3], [4, 2], [15, 1], [18, 1]], 107/23887872], [[[1, 4], [2, 3], [4, 2], [16, 1], [18, 1]], 1/9216], [[[1, 4], [2, 3], [4, 2], [18, 1], [20, 1]], 7447/79626240], [[[1, 4], [2, 3], [4, 2], [18, 1], [24, 1]], 535/95551488], [[[1, 4], [2, 3], [4, 2], [18, 1], [30, 1]], 107/23887872], [[[1, 4], [2, 3], [4, 3], [5, 1], [6, 4]], 97/114661785600], [[[1, 4], [2, 3], [4, 3], [5, 1], [8, 2]], 14941/141557760], [[[1, 4], [2, 3], [4, 3], [5, 1], [10, 2]], 7277/88473600], [[[1, 4], [2, 3], [4, 3], [5, 1], [12, 2]], 10849/212336640], [[[1, 4], [2, 3], [4, 3], [5, 1], [15, 1]], 97/22118400], [[[1, 4], [2, 3], [4, 3], [5, 1], [16, 1]], 41/368640], [[[1, 4], [2, 3], [4, 3], [5, 1], [20, 1]], 1889/14745600], [[[1, 4], [2, 3], [4, 3], [5, 1], [24, 1]], 97/17694720], [[[1, 4], [2, 3], [4, 3], [5, 1], [30, 1]], 97/22118400], [[[1, 4], [2, 3], [4, 3], [5, 2], [6, 2]], 1/159252480], [[[1, 4], [2, 3], [4, 3], [5, 2], [8, 1]], 44863/2831155200], [[[1, 4], [2, 3], [4, 3], [5, 2], [10, 1]], 12127/147456000], [[[1, 4], [2, 3], [4, 3], [5, 2], [12, 1]], 8951/796262400], [[[1, 4], [2, 3], [4, 3], [6, 2], [8, 2]], 221/254803968], [[[1, 4], [2, 3], [4, 3], [6, 2], [10, 2]], 77/796262400], [[[1, 4], [2, 3], [4, 3], [6, 2], [12, 2]], 467/63700992], [[[1, 4], [2, 3], [4, 3], [6, 2], [15, 1]], 1/7962624], [[[1, 4], [2, 3], [4, 3], [6, 2], [16, 1]], 1/442368], [[[1, 4], [2, 3], [4, 3], [6, 2], [20, 1]], 197/26542080], [[[1, 4], [2, 3], [4, 3], [6, 2], [24, 1]], 5/31850496], [[[1, 4], [2, 3], [4, 3], [6, 2], [30, 1]], 1/7962624], [[[1, 4], [2, 3], [4, 3], [6, 3], [7, 1]], 1/47775744], [[[1, 4], [2, 3], [4, 3], [6, 3], [9, 1]], 13/1289945088], [[[1, 4], [2, 3], [4, 3], [6, 3], [14, 1]], 1/111476736], [[[1, 4], [2, 3], [4, 3], [6, 3], [18, 1]], 11/143327232], [[[1, 4], [2, 3], [4, 3], [6, 4], [8, 1]], 12607/733835427840], [[[1, 4], [2, 3], [4, 3], [6, 4], [10, 1]], 191/38220595200], [[[1, 4], [2, 3], [4, 3], [6, 4], [12, 1]], 11707/206391214080], [[[1, 4], [2, 3], [4, 3], [7, 1], [9, 1]], 1/663552], [[[1, 4], [2, 3], [4, 3], [7, 1], [14, 1]], 79/802816], [[[1, 4], [2, 3], [4, 3], [7, 1], [18, 1]], 1/663552], [[[1, 4], [2, 3], [4, 3], [8, 1], [10, 2]], 44863/2831155200], [[[1, 4], [2, 3], [4, 3], [8, 1], [12, 2]], 112021/452984832], [[[1, 4], [2, 3], [4, 3], [8, 1], [15, 1]], 6847/141557760], [[[1, 4], [2, 3], [4, 3], [8, 1], [16, 1]], 643/1179648], [[[1, 4], [2, 3], [4, 3], [8, 1], [20, 1]], 13781/31457280], [[[1, 4], [2, 3], [4, 3], [8, 1], [24, 1]], 17983/113246208], [[[1, 4], [2, 3], [4, 3], [8, 1], [30, 1]], 6847/141557760], [[[1, 4], [2, 3], [4, 3], [8, 2], [10, 1]], 983/9437184], [[[1, 4], [2, 3], [4, 3], [8, 2], [12, 1]], 111035/254803968], [[[1, 4], [2, 3], [4, 3], [9, 1], [14, 1]], 5/4644864], [[[1, 4], [2, 3], [4, 3], [9, 1], [18, 1]], 2483/35831808], [[[1, 4], [2, 3], [4, 3], [10, 1], [12, 2]], 3103/70778880], [[[1, 4], [2, 3], [4, 3], [10, 1], [15, 1]], 31/7372800], [[[1, 4], [2, 3], [4, 3], [10, 1], [16, 1]], 13/122880], [[[1, 4], [2, 3], [4, 3], [10, 1], [20, 1]], 181/1638400], [[[1, 4], [2, 3], [4, 3], [10, 1], [24, 1]], 31/5898240], [[[1, 4], [2, 3], [4, 3], [10, 1], [30, 1]], 31/7372800], [[[1, 4], [2, 3], [4, 3], [10, 2], [12, 1]], 7799/796262400], [[[1, 4], [2, 3], [4, 3], [12, 1], [15, 1]], 887/39813120], [[[1, 4], [2, 3], [4, 3], [12, 1], [16, 1]], 391/1769472], [[[1, 4], [2, 3], [4, 3], [12, 1], [20, 1]], 5987/26542080], [[[1, 4], [2, 3], [4, 3], [12, 1], [24, 1]], 2753/31850496], [[[1, 4], [2, 3], [4, 3], [12, 1], [30, 1]], 887/39813120], [[[1, 4], [2, 3], [4, 3], [14, 1], [18, 1]], 1/1548288], [[[1, 4], [2, 3], [4, 4], [5, 1], [6, 3]], 2743/429981696000], [[[1, 4], [2, 3], [4, 4], [5, 1], [7, 1]], 13/11059200], [[[1, 4], [2, 3], [4, 4], [5, 1], [9, 1]], 1/1638400], [[[1, 4], [2, 3], [4, 4], [5, 1], [14, 1]], 17/28672000], [[[1, 4], [2, 3], [4, 4], [5, 1], [18, 1]], 2743/5971968000], [[[1, 4], [2, 3], [4, 4], [5, 2], [6, 1]], 5443/382205952000], [[[1, 4], [2, 3], [4, 4], [6, 1], [8, 2]], 1291027/122305904640], [[[1, 4], [2, 3], [4, 4], [6, 1], [10, 2]], 109987/382205952000], [[[1, 4], [2, 3], [4, 4], [6, 1], [12, 2]], 3180643/183458856960], [[[1, 4], [2, 3], [4, 4], [6, 1], [15, 1]], 5443/19110297600], [[[1, 4], [2, 3], [4, 4], [6, 1], [16, 1]], 7/884736], [[[1, 4], [2, 3], [4, 4], [6, 1], [20, 1]], 66599/2548039680], [[[1, 4], [2, 3], [4, 4], [6, 1], [24, 1]], 5443/15288238080], [[[1, 4], [2, 3], [4, 4], [6, 1], [30, 1]], 5443/19110297600], [[[1, 4], [2, 3], [4, 4], [6, 2], [7, 1]], 1/278691840], [[[1, 4], [2, 3], [4, 4], [6, 2], [9, 1]], 7/4299816960], [[[1, 4], [2, 3], [4, 4], [6, 2], [14, 1]], 1/743178240], [[[1, 4], [2, 3], [4, 4], [6, 2], [18, 1]], 5479/34398535680], [[[1, 4], [2, 3], [4, 4], [6, 3], [8, 1]], 20459/137594142720], [[[1, 4], [2, 3], [4, 4], [6, 3], [10, 1]], 133/19110297600], [[[1, 4], [2, 3], [4, 4], [6, 3], [12, 1]], 248603/1651129712640], [[[1, 4], [2, 3], [4, 4], [7, 1], [8, 1]], 13507/495452160], [[[1, 4], [2, 3], [4, 4], [7, 1], [10, 1]], 13/11059200], [[[1, 4], [2, 3], [4, 4], [7, 1], [12, 1]], 137/6193152], [[[1, 4], [2, 3], [4, 4], [8, 1], [9, 1]], 13507/955514880], [[[1, 4], [2, 3], [4, 4], [8, 1], [14, 1]], 1711/123863040], [[[1, 4], [2, 3], [4, 4], [8, 1], [18, 1]], 20351/1911029760], [[[1, 4], [2, 3], [4, 4], [9, 1], [10, 1]], 727/1194393600], [[[1, 4], [2, 3], [4, 4], [9, 1], [12, 1]], 137/11943936], [[[1, 4], [2, 3], [4, 4], [10, 1], [14, 1]], 121/206438400], [[[1, 4], [2, 3], [4, 4], [10, 1], [18, 1]], 121/265420800], [[[1, 4], [2, 3], [4, 4], [12, 1], [14, 1]], 835/74317824], [[[1, 4], [2, 3], [4, 4], [12, 1], [18, 1]], 2479/286654464], [[[1, 4], [2, 3], [4, 5], [5, 1], [6, 2]], 1/1061683200], [[[1, 4], [2, 3], [4, 5], [5, 1], [8, 1]], 70073/7077888000], [[[1, 4], [2, 3], [4, 5], [5, 1], [10, 1]], 167/36864000], [[[1, 4], [2, 3], [4, 5], [5, 1], [12, 1]], 907/106168320], [[[1, 4], [2, 3], [4, 5], [6, 1], [7, 1]], 19/371589120], [[[1, 4], [2, 3], [4, 5], [6, 1], [9, 1]], 1/63700992], [[[1, 4], [2, 3], [4, 5], [6, 1], [14, 1]], 1/185794560], [[[1, 4], [2, 3], [4, 5], [6, 1], [18, 1]], 8483/22932357120], [[[1, 4], [2, 3], [4, 5], [6, 2], [8, 1]], 71/1132462080], [[[1, 4], [2, 3], [4, 5], [6, 2], [10, 1]], 11/3185049600], [[[1, 4], [2, 3], [4, 5], [6, 2], [12, 1]], 9209/40768634880], [[[1, 4], [2, 3], [4, 5], [8, 1], [10, 1]], 1105/113246208], [[[1, 4], [2, 3], [4, 5], [8, 1], [12, 1]], 120481/1698693120], [[[1, 4], [2, 3], [4, 5], [10, 1], [12, 1]], 97/11796480], [[[1, 4], [2, 3], [4, 6], [5, 1], [6, 1]], 221/63700992000], [[[1, 4], [2, 3], [4, 6], [6, 1], [8, 1]], 2101/8153726976], [[[1, 4], [2, 3], [4, 6], [6, 1], [10, 1]], 3547/101921587200], [[[1, 4], [2, 3], [4, 6], [6, 1], [12, 1]], 227459/440301256704], [[[1, 4], [2, 3], [5, 1], [6, 1], [8, 3]], 1/884736], [[[1, 4], [2, 3], [5, 1], [6, 1], [10, 3]], 1/2400000], [[[1, 4], [2, 3], [5, 1], [6, 1], [12, 3]], 43/49766400], [[[1, 4], [2, 3], [5, 1], [6, 1], [18, 2]], 43/6998400], [[[1, 4], [2, 3], [5, 1], [6, 3], [8, 2]], 43/1791590400], [[[1, 4], [2, 3], [5, 1], [6, 3], [10, 2]], 43/5598720000], [[[1, 4], [2, 3], [5, 1], [6, 3], [12, 2]], 473/537477120], [[[1, 4], [2, 3], [5, 1], [6, 3], [15, 1]], 43/279936000], [[[1, 4], [2, 3], [5, 1], [6, 3], [20, 1]], 43/186624000], [[[1, 4], [2, 3], [5, 1], [6, 3], [24, 1]], 43/223948800], [[[1, 4], [2, 3], [5, 1], [6, 3], [30, 1]], 43/279936000], [[[1, 4], [2, 3], [5, 1], [6, 4], [7, 1]], 1/261273600], [[[1, 4], [2, 3], [5, 1], [6, 4], [9, 1]], 1/447897600], [[[1, 4], [2, 3], [5, 1], [6, 4], [14, 1]], 1/290304000], [[[1, 4], [2, 3], [5, 1], [6, 4], [18, 1]], 1763/20155392000], [[[1, 4], [2, 3], [5, 1], [6, 5], [8, 1]], 1/716636160], [[[1, 4], [2, 3], [5, 1], [6, 5], [10, 1]], 1/622080000], [[[1, 4], [2, 3], [5, 1], [6, 5], [12, 1]], 473/26873856000], [[[1, 4], [2, 3], [5, 1], [7, 1], [8, 2]], 1/322560], [[[1, 4], [2, 3], [5, 1], [7, 1], [10, 2]], 1/1008000], [[[1, 4], [2, 3], [5, 1], [7, 1], [12, 2]], 1/483840], [[[1, 4], [2, 3], [5, 1], [7, 1], [15, 1]], 1/50400], [[[1, 4], [2, 3], [5, 1], [7, 1], [20, 1]], 1/33600], [[[1, 4], [2, 3], [5, 1], [7, 1], [24, 1]], 1/40320], [[[1, 4], [2, 3], [5, 1], [7, 1], [30, 1]], 1/50400], [[[1, 4], [2, 3], [5, 1], [8, 2], [9, 1]], 1/552960], [[[1, 4], [2, 3], [5, 1], [8, 2], [14, 1]], 1/358400], [[[1, 4], [2, 3], [5, 1], [8, 2], [18, 1]], 43/24883200], [[[1, 4], [2, 3], [5, 1], [9, 1], [10, 2]], 1/1728000], [[[1, 4], [2, 3], [5, 1], [9, 1], [12, 2]], 1/829440], [[[1, 4], [2, 3], [5, 1], [9, 1], [15, 1]], 1/86400], [[[1, 4], [2, 3], [5, 1], [9, 1], [20, 1]], 1/57600], [[[1, 4], [2, 3], [5, 1], [9, 1], [24, 1]], 1/69120], [[[1, 4], [2, 3], [5, 1], [9, 1], [30, 1]], 1/86400], [[[1, 4], [2, 3], [5, 1], [10, 2], [14, 1]], 1/1120000], [[[1, 4], [2, 3], [5, 1], [10, 2], [18, 1]], 43/77760000], [[[1, 4], [2, 3], [5, 1], [12, 2], [14, 1]], 1/537600], [[[1, 4], [2, 3], [5, 1], [12, 2], [18, 1]], 43/37324800], [[[1, 4], [2, 3], [5, 1], [14, 1], [15, 1]], 1/56000], [[[1, 4], [2, 3], [5, 1], [14, 1], [20, 1]], 3/112000], [[[1, 4], [2, 3], [5, 1], [14, 1], [24, 1]], 1/44800], [[[1, 4], [2, 3], [5, 1], [14, 1], [30, 1]], 1/56000], [[[1, 4], [2, 3], [5, 1], [15, 1], [18, 1]], 43/3888000], [[[1, 4], [2, 3], [5, 1], [18, 1], [20, 1]], 43/2592000], [[[1, 4], [2, 3], [5, 1], [18, 1], [24, 1]], 43/3110400], [[[1, 4], [2, 3], [5, 1], [18, 1], [30, 1]], 43/3888000], [[[1, 4], [2, 3], [5, 2], [6, 1], [8, 2]], 517/1592524800], [[[1, 4], [2, 3], [5, 2], [6, 1], [10, 2]], 4777/4976640000], [[[1, 4], [2, 3], [5, 2], [6, 1], [12, 2]], 13/2388787200], [[[1, 4], [2, 3], [5, 2], [6, 1], [15, 1]], 13/248832000], [[[1, 4], [2, 3], [5, 2], [6, 1], [20, 1]], 13/165888000], [[[1, 4], [2, 3], [5, 2], [6, 1], [24, 1]], 13/199065600], [[[1, 4], [2, 3], [5, 2], [6, 1], [30, 1]], 13/248832000], [[[1, 4], [2, 3], [5, 2], [6, 2], [7, 1]], 1/3628800], [[[1, 4], [2, 3], [5, 2], [6, 2], [9, 1]], 7/55987200], [[[1, 4], [2, 3], [5, 2], [6, 2], [14, 1]], 1/9676800], [[[1, 4], [2, 3], [5, 2], [6, 2], [18, 1]], 49/447897600], [[[1, 4], [2, 3], [5, 2], [6, 3], [8, 1]], 119/1791590400], [[[1, 4], [2, 3], [5, 2], [6, 3], [10, 1]], 13/248832000], [[[1, 4], [2, 3], [5, 2], [6, 3], [12, 1]], 157/2388787200], [[[1, 4], [2, 3], [5, 2], [7, 1], [8, 1]], 1/921600], [[[1, 4], [2, 3], [5, 2], [7, 1], [10, 1]], 1/1008000], [[[1, 4], [2, 3], [5, 2], [8, 1], [9, 1]], 7/12441600], [[[1, 4], [2, 3], [5, 2], [8, 1], [14, 1]], 1/1612800], [[[1, 4], [2, 3], [5, 2], [8, 1], [18, 1]], 11/24883200], [[[1, 4], [2, 3], [5, 2], [9, 1], [10, 1]], 7/15552000], [[[1, 4], [2, 3], [5, 2], [10, 1], [14, 1]], 1/2688000], [[[1, 4], [2, 3], [5, 2], [10, 1], [18, 1]], 1/3456000], [[[1, 4], [2, 3], [5, 3], [6, 1], [8, 1]], 1/2764800], [[[1, 4], [2, 3], [5, 3], [6, 1], [10, 1]], 1/2400000], [[[1, 4], [2, 3], [5, 3], [6, 1], [12, 1]], 43/103680000], [[[1, 4], [2, 3], [6, 1], [7, 2], [8, 1]], 1/50176], [[[1, 4], [2, 3], [6, 1], [7, 2], [10, 1]], 1/31360], [[[1, 4], [2, 3], [6, 1], [7, 2], [12, 1]], 1/37632], [[[1, 4], [2, 3], [6, 1], [8, 1], [9, 2]], 5/746496], [[[1, 4], [2, 3], [6, 1], [8, 1], [10, 3]], 7/13824000], [[[1, 4], [2, 3], [6, 1], [8, 1], [12, 3]], 11/15925248], [[[1, 4], [2, 3], [6, 1], [8, 1], [14, 2]], 1/150528], [[[1, 4], [2, 3], [6, 1], [8, 1], [18, 2]], 5/559872], [[[1, 4], [2, 3], [6, 1], [8, 2], [10, 2]], 1381/1592524800], [[[1, 4], [2, 3], [6, 1], [8, 2], [12, 2]], 517/764411904], [[[1, 4], [2, 3], [6, 1], [8, 2], [15, 1]], 517/79626240], [[[1, 4], [2, 3], [6, 1], [8, 2], [16, 1]], 1/24576], [[[1, 4], [2, 3], [6, 1], [8, 2], [20, 1]], 517/53084160], [[[1, 4], [2, 3], [6, 1], [8, 2], [24, 1]], 311/21233664], [[[1, 4], [2, 3], [6, 1], [8, 2], [30, 1]], 517/79626240], [[[1, 4], [2, 3], [6, 1], [8, 3], [10, 1]], 7/4423680], [[[1, 4], [2, 3], [6, 1], [8, 3], [12, 1]], 11/10616832], [[[1, 4], [2, 3], [6, 1], [9, 2], [10, 1]], 11/1399680], [[[1, 4], [2, 3], [6, 1], [9, 2], [12, 1]], 13/1679616], [[[1, 4], [2, 3], [6, 1], [10, 1], [12, 3]], 1/2211840], [[[1, 4], [2, 3], [6, 1], [10, 1], [14, 2]], 1/188160], [[[1, 4], [2, 3], [6, 1], [10, 1], [18, 2]], 1/155520], [[[1, 4], [2, 3], [6, 1], [10, 2], [12, 2]], 877/2388787200], [[[1, 4], [2, 3], [6, 1], [10, 2], [15, 1]], 877/248832000], [[[1, 4], [2, 3], [6, 1], [10, 2], [20, 1]], 877/165888000], [[[1, 4], [2, 3], [6, 1], [10, 2], [24, 1]], 877/199065600], [[[1, 4], [2, 3], [6, 1], [10, 2], [30, 1]], 877/248832000], [[[1, 4], [2, 3], [6, 1], [10, 3], [12, 1]], 1/4608000], [[[1, 4], [2, 3], [6, 1], [12, 1], [14, 2]], 1/150528], [[[1, 4], [2, 3], [6, 1], [12, 1], [18, 2]], 1/248832], [[[1, 4], [2, 3], [6, 1], [12, 1], [36, 1]], 13/1492992], [[[1, 4], [2, 3], [6, 1], [12, 2], [15, 1]], 13/119439360], [[[1, 4], [2, 3], [6, 1], [12, 2], [20, 1]], 13/79626240], [[[1, 4], [2, 3], [6, 1], [12, 2], [24, 1]], 169/95551488], [[[1, 4], [2, 3], [6, 1], [12, 2], [30, 1]], 13/119439360], [[[1, 4], [2, 3], [6, 1], [15, 1], [20, 1]], 13/8294400], [[[1, 4], [2, 3], [6, 1], [15, 1], [24, 1]], 13/9953280], [[[1, 4], [2, 3], [6, 1], [15, 1], [30, 1]], 13/777600], [[[1, 4], [2, 3], [6, 1], [20, 1], [24, 1]], 13/6635520], [[[1, 4], [2, 3], [6, 1], [20, 1], [30, 1]], 13/8294400], [[[1, 4], [2, 3], [6, 1], [24, 1], [30, 1]], 13/9953280], [[[1, 4], [2, 3], [6, 2], [7, 1], [8, 2]], 5/580608], [[[1, 4], [2, 3], [6, 2], [7, 1], [10, 2]], 37/3628800], [[[1, 4], [2, 3], [6, 2], [7, 1], [12, 2]], 19/1741824], [[[1, 4], [2, 3], [6, 2], [7, 1], [15, 1]], 1/181440], [[[1, 4], [2, 3], [6, 2], [7, 1], [20, 1]], 1/120960], [[[1, 4], [2, 3], [6, 2], [7, 1], [24, 1]], 1/145152], [[[1, 4], [2, 3], [6, 2], [7, 1], [30, 1]], 1/181440], [[[1, 4], [2, 3], [6, 2], [8, 2], [9, 1]], 79/17915904], [[[1, 4], [2, 3], [6, 2], [8, 2], [14, 1]], 13/3096576], [[[1, 4], [2, 3], [6, 2], [8, 2], [18, 1]], 985/143327232], [[[1, 4], [2, 3], [6, 2], [9, 1], [10, 2]], 223/55987200], [[[1, 4], [2, 3], [6, 2], [9, 1], [12, 2]], 133/26873856], [[[1, 4], [2, 3], [6, 2], [9, 1], [15, 1]], 7/2799360], [[[1, 4], [2, 3], [6, 2], [9, 1], [20, 1]], 7/1866240], [[[1, 4], [2, 3], [6, 2], [9, 1], [24, 1]], 7/2239488], [[[1, 4], [2, 3], [6, 2], [9, 1], [30, 1]], 7/2799360], [[[1, 4], [2, 3], [6, 2], [10, 2], [14, 1]], 1/387072], [[[1, 4], [2, 3], [6, 2], [10, 2], [18, 1]], 1777/447897600], [[[1, 4], [2, 3], [6, 2], [12, 2], [14, 1]], 19/4644864], [[[1, 4], [2, 3], [6, 2], [12, 2], [18, 1]], 697/214990848], [[[1, 4], [2, 3], [6, 2], [14, 1], [15, 1]], 1/483840], [[[1, 4], [2, 3], [6, 2], [14, 1], [20, 1]], 1/322560], [[[1, 4], [2, 3], [6, 2], [14, 1], [24, 1]], 1/387072], [[[1, 4], [2, 3], [6, 2], [14, 1], [30, 1]], 1/483840], [[[1, 4], [2, 3], [6, 2], [15, 1], [18, 1]], 49/22394880], [[[1, 4], [2, 3], [6, 2], [18, 1], [20, 1]], 49/14929920], [[[1, 4], [2, 3], [6, 2], [18, 1], [24, 1]], 49/17915904], [[[1, 4], [2, 3], [6, 2], [18, 1], [30, 1]], 49/22394880], [[[1, 4], [2, 3], [6, 3], [7, 1], [9, 1]], 13/23514624], [[[1, 4], [2, 3], [6, 3], [7, 1], [14, 1]], 13/3048192], [[[1, 4], [2, 3], [6, 3], [7, 1], [18, 1]], 1/279936], [[[1, 4], [2, 3], [6, 3], [8, 1], [10, 2]], 2711/1791590400], [[[1, 4], [2, 3], [6, 3], [8, 1], [12, 2]], 2657/859963392], [[[1, 4], [2, 3], [6, 3], [8, 1], [15, 1]], 119/89579520], [[[1, 4], [2, 3], [6, 3], [8, 1], [16, 1]], 1/1327104], [[[1, 4], [2, 3], [6, 3], [8, 1], [20, 1]], 119/59719680], [[[1, 4], [2, 3], [6, 3], [8, 1], [24, 1]], 119/71663616], [[[1, 4], [2, 3], [6, 3], [8, 1], [30, 1]], 119/89579520], [[[1, 4], [2, 3], [6, 3], [8, 2], [10, 1]], 157/79626240], [[[1, 4], [2, 3], [6, 3], [8, 2], [12, 1]], 2389/764411904], [[[1, 4], [2, 3], [6, 3], [9, 1], [14, 1]], 1/2939328], [[[1, 4], [2, 3], [6, 3], [9, 1], [18, 1]], 19/7558272], [[[1, 4], [2, 3], [6, 3], [10, 1], [12, 2]], 283/119439360], [[[1, 4], [2, 3], [6, 3], [10, 1], [15, 1]], 13/12441600], [[[1, 4], [2, 3], [6, 3], [10, 1], [20, 1]], 13/8294400], [[[1, 4], [2, 3], [6, 3], [10, 1], [24, 1]], 13/9953280], [[[1, 4], [2, 3], [6, 3], [10, 1], [30, 1]], 13/12441600], [[[1, 4], [2, 3], [6, 3], [10, 2], [12, 1]], 4477/2388787200], [[[1, 4], [2, 3], [6, 3], [12, 1], [15, 1]], 157/119439360], [[[1, 4], [2, 3], [6, 3], [12, 1], [20, 1]], 157/79626240], [[[1, 4], [2, 3], [6, 3], [12, 1], [24, 1]], 157/95551488], [[[1, 4], [2, 3], [6, 3], [12, 1], [30, 1]], 157/119439360], [[[1, 4], [2, 3], [6, 3], [14, 1], [18, 1]], 1/746496], [[[1, 4], [2, 3], [6, 4], [7, 1], [8, 1]], 1/2949120], [[[1, 4], [2, 3], [6, 4], [7, 1], [10, 1]], 101/261273600], [[[1, 4], [2, 3], [6, 4], [7, 1], [12, 1]], 5/5225472], [[[1, 4], [2, 3], [6, 4], [8, 1], [9, 1]], 527/3224862720], [[[1, 4], [2, 3], [6, 4], [8, 1], [14, 1]], 61/418037760], [[[1, 4], [2, 3], [6, 4], [8, 1], [18, 1]], 5491/6449725440], [[[1, 4], [2, 3], [6, 4], [9, 1], [10, 1]], 647/4031078400], [[[1, 4], [2, 3], [6, 4], [9, 1], [12, 1]], 35/80621568], [[[1, 4], [2, 3], [6, 4], [10, 1], [14, 1]], 1/8601600], [[[1, 4], [2, 3], [6, 4], [10, 1], [18, 1]], 601/895795200], [[[1, 4], [2, 3], [6, 4], [12, 1], [14, 1]], 5/13934592], [[[1, 4], [2, 3], [6, 4], [12, 1], [18, 1]], 217/214990848], [[[1, 4], [2, 3], [6, 5], [8, 1], [10, 1]], 247/3583180800], [[[1, 4], [2, 3], [6, 5], [8, 1], [12, 1]], 1921/8599633920], [[[1, 4], [2, 3], [6, 5], [10, 1], [12, 1]], 211/1194393600], [[[1, 4], [2, 3], [7, 1], [8, 1], [10, 2]], 1/921600], [[[1, 4], [2, 3], [7, 1], [8, 1], [12, 2]], 1/442368], [[[1, 4], [2, 3], [7, 1], [8, 1], [15, 1]], 1/46080], [[[1, 4], [2, 3], [7, 1], [8, 1], [16, 1]], 1/7168], [[[1, 4], [2, 3], [7, 1], [8, 1], [20, 1]], 1/30720], [[[1, 4], [2, 3], [7, 1], [8, 1], [24, 1]], 1/36864], [[[1, 4], [2, 3], [7, 1], [8, 1], [30, 1]], 1/46080], [[[1, 4], [2, 3], [7, 1], [8, 2], [10, 1]], 1/322560], [[[1, 4], [2, 3], [7, 1], [9, 1], [14, 1]], 17/42336], [[[1, 4], [2, 3], [7, 1], [9, 1], [18, 1]], 67/326592], [[[1, 4], [2, 3], [7, 1], [10, 1], [12, 2]], 1/483840], [[[1, 4], [2, 3], [7, 1], [10, 1], [15, 1]], 1/50400], [[[1, 4], [2, 3], [7, 1], [10, 1], [20, 1]], 1/33600], [[[1, 4], [2, 3], [7, 1], [10, 1], [24, 1]], 1/40320], [[[1, 4], [2, 3], [7, 1], [10, 1], [30, 1]], 1/50400], [[[1, 4], [2, 3], [7, 1], [14, 1], [18, 1]], 13/42336], [[[1, 4], [2, 3], [8, 1], [9, 1], [10, 2]], 7/12441600], [[[1, 4], [2, 3], [8, 1], [9, 1], [12, 2]], 7/5971968], [[[1, 4], [2, 3], [8, 1], [9, 1], [15, 1]], 7/622080], [[[1, 4], [2, 3], [8, 1], [9, 1], [16, 1]], 1/13824], [[[1, 4], [2, 3], [8, 1], [9, 1], [20, 1]], 7/414720], [[[1, 4], [2, 3], [8, 1], [9, 1], [24, 1]], 7/497664], [[[1, 4], [2, 3], [8, 1], [9, 1], [30, 1]], 7/622080], [[[1, 4], [2, 3], [8, 1], [10, 2], [14, 1]], 1/1612800], [[[1, 4], [2, 3], [8, 1], [10, 2], [18, 1]], 11/24883200], [[[1, 4], [2, 3], [8, 1], [12, 2], [14, 1]], 1/774144], [[[1, 4], [2, 3], [8, 1], [12, 2], [18, 1]], 11/11943936], [[[1, 4], [2, 3], [8, 1], [14, 1], [15, 1]], 1/80640], [[[1, 4], [2, 3], [8, 1], [14, 1], [16, 1]], 1/14336], [[[1, 4], [2, 3], [8, 1], [14, 1], [20, 1]], 1/53760], [[[1, 4], [2, 3], [8, 1], [14, 1], [24, 1]], 1/64512], [[[1, 4], [2, 3], [8, 1], [14, 1], [30, 1]], 1/80640], [[[1, 4], [2, 3], [8, 1], [15, 1], [18, 1]], 11/1244160], [[[1, 4], [2, 3], [8, 1], [16, 1], [18, 1]], 1/18432], [[[1, 4], [2, 3], [8, 1], [18, 1], [20, 1]], 11/829440], [[[1, 4], [2, 3], [8, 1], [18, 1], [24, 1]], 11/995328], [[[1, 4], [2, 3], [8, 1], [18, 1], [30, 1]], 11/1244160], [[[1, 4], [2, 3], [8, 2], [9, 1], [10, 1]], 7/4976640], [[[1, 4], [2, 3], [8, 2], [10, 1], [14, 1]], 1/860160], [[[1, 4], [2, 3], [8, 2], [10, 1], [18, 1]], 1/1105920], [[[1, 4], [2, 3], [9, 1], [10, 1], [12, 2]], 7/7464960], [[[1, 4], [2, 3], [9, 1], [10, 1], [15, 1]], 7/777600], [[[1, 4], [2, 3], [9, 1], [10, 1], [20, 1]], 7/518400], [[[1, 4], [2, 3], [9, 1], [10, 1], [24, 1]], 7/622080], [[[1, 4], [2, 3], [9, 1], [10, 1], [30, 1]], 7/777600], [[[1, 4], [2, 3], [9, 1], [14, 1], [18, 1]], 5/46656], [[[1, 4], [2, 3], [10, 1], [12, 2], [14, 1]], 1/1290240], [[[1, 4], [2, 3], [10, 1], [12, 2], [18, 1]], 1/1658880], [[[1, 4], [2, 3], [10, 1], [14, 1], [15, 1]], 1/134400], [[[1, 4], [2, 3], [10, 1], [14, 1], [20, 1]], 1/89600], [[[1, 4], [2, 3], [10, 1], [14, 1], [24, 1]], 1/107520], [[[1, 4], [2, 3], [10, 1], [14, 1], [30, 1]], 1/134400], [[[1, 4], [2, 3], [10, 1], [15, 1], [18, 1]], 1/172800], [[[1, 4], [2, 3], [10, 1], [18, 1], [20, 1]], 1/115200], [[[1, 4], [2, 3], [10, 1], [18, 1], [24, 1]], 1/138240], [[[1, 4], [2, 3], [10, 1], [18, 1], [30, 1]], 1/172800], [[[1, 4], [2, 5], [3, 1], [4, 1], [5, 3]], 3181/1105920000], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 6]], 1381799/37150418534400], [[[1, 4], [2, 5], [3, 1], [4, 1], [7, 2]], 1/200704], [[[1, 4], [2, 5], [3, 1], [4, 1], [8, 3]], 7433/339738624], [[[1, 4], [2, 5], [3, 1], [4, 1], [9, 2]], 731/179159040], [[[1, 4], [2, 5], [3, 1], [4, 1], [10, 3]], 461/1658880000], [[[1, 4], [2, 5], [3, 1], [4, 1], [12, 3]], 6079/11466178560], [[[1, 4], [2, 5], [3, 1], [4, 1], [14, 2]], 1/64512], [[[1, 4], [2, 5], [3, 1], [4, 1], [18, 2]], 5/1119744], [[[1, 4], [2, 5], [3, 1], [4, 1], [28, 1]], 13/774144], [[[1, 4], [2, 5], [3, 1], [4, 1], [36, 1]], 13/995328], [[[1, 4], [2, 5], [3, 1], [4, 2], [6, 5]], 1184423/12383472844800], [[[1, 4], [2, 5], [3, 1], [4, 3], [5, 2]], 270781/63700992000], [[[1, 4], [2, 5], [3, 1], [4, 3], [6, 4]], 6400141/16511297126400], [[[1, 4], [2, 5], [3, 1], [4, 3], [8, 2]], 1674631/20384317440], [[[1, 4], [2, 5], [3, 1], [4, 3], [10, 2]], 140173/63700992000], [[[1, 4], [2, 5], [3, 1], [4, 3], [12, 2]], 971197/30576476160], [[[1, 4], [2, 5], [3, 1], [4, 3], [15, 1]], 6541/3185049600], [[[1, 4], [2, 5], [3, 1], [4, 3], [16, 1]], 517/10616832], [[[1, 4], [2, 5], [3, 1], [4, 3], [20, 1]], 95501/2123366400], [[[1, 4], [2, 5], [3, 1], [4, 3], [24, 1]], 6541/2548039680], [[[1, 4], [2, 5], [3, 1], [4, 3], [30, 1]], 6541/3185049600], [[[1, 4], [2, 5], [3, 1], [4, 4], [6, 3]], 4187897/8255648563200], [[[1, 4], [2, 5], [3, 1], [4, 4], [7, 1]], 3097/8918138880], [[[1, 4], [2, 5], [3, 1], [4, 4], [9, 1]], 1654499/1100753141760], [[[1, 4], [2, 5], [3, 1], [4, 4], [14, 1]], 17161/17836277760], [[[1, 4], [2, 5], [3, 1], [4, 4], [18, 1]], 9349/22932357120], [[[1, 4], [2, 5], [3, 1], [4, 5], [5, 1]], 46951/84934656000], [[[1, 4], [2, 5], [3, 1], [4, 5], [6, 2]], 2103661/1223059046400], [[[1, 4], [2, 5], [3, 1], [4, 5], [8, 1]], 425983/81537269760], [[[1, 4], [2, 5], [3, 1], [4, 5], [10, 1]], 28931/127401984000], [[[1, 4], [2, 5], [3, 1], [4, 5], [12, 1]], 2640943/611529523200], [[[1, 4], [2, 5], [3, 1], [4, 6], [6, 1]], 4738373/3669177139200], [[[1, 4], [2, 5], [3, 1], [5, 1], [6, 5]], 1067/20155392000], [[[1, 4], [2, 5], [3, 1], [5, 2], [6, 3]], 27407/107495424000], [[[1, 4], [2, 5], [3, 1], [5, 2], [7, 1]], 439/116121600], [[[1, 4], [2, 5], [3, 1], [5, 2], [9, 1]], 52529/14332723200], [[[1, 4], [2, 5], [3, 1], [5, 2], [14, 1]], 457/33177600], [[[1, 4], [2, 5], [3, 1], [5, 2], [18, 1]], 1651/298598400], [[[1, 4], [2, 5], [3, 1], [5, 3], [6, 1]], 143/311040000], [[[1, 4], [2, 5], [3, 1], [6, 1], [7, 2]], 1/64512], [[[1, 4], [2, 5], [3, 1], [6, 1], [8, 3]], 1759/127401984], [[[1, 4], [2, 5], [3, 1], [6, 1], [9, 2]], 841/100776960], [[[1, 4], [2, 5], [3, 1], [6, 1], [10, 3]], 1667/2488320000], [[[1, 4], [2, 5], [3, 1], [6, 1], [12, 3]], 589/2866544640], [[[1, 4], [2, 5], [3, 1], [6, 1], [14, 2]], 1/28224], [[[1, 4], [2, 5], [3, 1], [6, 1], [18, 2]], 323/26873856], [[[1, 4], [2, 5], [3, 1], [6, 3], [8, 2]], 305567/34398535680], [[[1, 4], [2, 5], [3, 1], [6, 3], [10, 2]], 983471/107495424000], [[[1, 4], [2, 5], [3, 1], [6, 3], [12, 2]], 539609/51597803520], [[[1, 4], [2, 5], [3, 1], [6, 3], [15, 1]], 19247/5374771200], [[[1, 4], [2, 5], [3, 1], [6, 3], [20, 1]], 19247/3583180800], [[[1, 4], [2, 5], [3, 1], [6, 3], [24, 1]], 62447/4299816960], [[[1, 4], [2, 5], [3, 1], [6, 3], [30, 1]], 19247/5374771200], [[[1, 4], [2, 5], [3, 1], [6, 4], [7, 1]], 31207/30098718720], [[[1, 4], [2, 5], [3, 1], [6, 4], [9, 1]], 979643/1238347284480], [[[1, 4], [2, 5], [3, 1], [6, 4], [14, 1]], 79711/60197437440], [[[1, 4], [2, 5], [3, 1], [6, 4], [18, 1]], 41999/15479341056], [[[1, 4], [2, 5], [3, 1], [6, 5], [8, 1]], 607/1274019840], [[[1, 4], [2, 5], [3, 1], [6, 5], [10, 1]], 137729/214990848000], [[[1, 4], [2, 5], [3, 1], [6, 5], [12, 1]], 1470799/1547934105600], [[[1, 4], [2, 5], [3, 1], [7, 1], [8, 2]], 295/37158912], [[[1, 4], [2, 5], [3, 1], [7, 1], [10, 2]], 1/16588800], [[[1, 4], [2, 5], [3, 1], [7, 1], [12, 2]], 1/7962624], [[[1, 4], [2, 5], [3, 1], [7, 1], [15, 1]], 1/829440], [[[1, 4], [2, 5], [3, 1], [7, 1], [20, 1]], 1/552960], [[[1, 4], [2, 5], [3, 1], [7, 1], [24, 1]], 1/663552], [[[1, 4], [2, 5], [3, 1], [7, 1], [30, 1]], 1/829440], [[[1, 4], [2, 5], [3, 1], [8, 2], [9, 1]], 34385/4586471424], [[[1, 4], [2, 5], [3, 1], [8, 2], [14, 1]], 1039/74317824], [[[1, 4], [2, 5], [3, 1], [8, 2], [18, 1]], 691/95551488], [[[1, 4], [2, 5], [3, 1], [9, 1], [10, 2]], 24881/14332723200], [[[1, 4], [2, 5], [3, 1], [9, 1], [12, 2]], 689/6879707136], [[[1, 4], [2, 5], [3, 1], [9, 1], [15, 1]], 689/716636160], [[[1, 4], [2, 5], [3, 1], [9, 1], [20, 1]], 689/477757440], [[[1, 4], [2, 5], [3, 1], [9, 1], [24, 1]], 689/573308928], [[[1, 4], [2, 5], [3, 1], [9, 1], [30, 1]], 689/716636160], [[[1, 4], [2, 5], [3, 1], [10, 2], [14, 1]], 31/232243200], [[[1, 4], [2, 5], [3, 1], [10, 2], [18, 1]], 19/298598400], [[[1, 4], [2, 5], [3, 1], [12, 2], [14, 1]], 31/111476736], [[[1, 4], [2, 5], [3, 1], [12, 2], [18, 1]], 19/143327232], [[[1, 4], [2, 5], [3, 1], [14, 1], [15, 1]], 31/11612160], [[[1, 4], [2, 5], [3, 1], [14, 1], [20, 1]], 31/7741440], [[[1, 4], [2, 5], [3, 1], [14, 1], [24, 1]], 31/9289728], [[[1, 4], [2, 5], [3, 1], [14, 1], [30, 1]], 31/11612160], [[[1, 4], [2, 5], [3, 1], [15, 1], [18, 1]], 19/14929920], [[[1, 4], [2, 5], [3, 1], [18, 1], [20, 1]], 19/9953280], [[[1, 4], [2, 5], [3, 1], [18, 1], [24, 1]], 19/11943936], [[[1, 4], [2, 5], [3, 1], [18, 1], [30, 1]], 19/14929920], [[[1, 4], [2, 5], [3, 2], [4, 1], [6, 5]], 23947/34398535680], [[[1, 4], [2, 5], [3, 2], [4, 2], [5, 2]], 245953/57330892800], [[[1, 4], [2, 5], [3, 2], [4, 2], [6, 4]], 17910541/2972033482752], [[[1, 4], [2, 5], [3, 2], [4, 2], [8, 2]], 504829/18345885696], [[[1, 4], [2, 5], [3, 2], [4, 2], [10, 2]], 36649/57330892800], [[[1, 4], [2, 5], [3, 2], [4, 2], [12, 2]], 166859/13759414272], [[[1, 4], [2, 5], [3, 2], [4, 2], [15, 1]], 1109/573308928], [[[1, 4], [2, 5], [3, 2], [4, 2], [16, 1]], 1/73728], [[[1, 4], [2, 5], [3, 2], [4, 2], [20, 1]], 26281/1911029760], [[[1, 4], [2, 5], [3, 2], [4, 2], [24, 1]], 5545/2293235712], [[[1, 4], [2, 5], [3, 2], [4, 2], [30, 1]], 1109/573308928], [[[1, 4], [2, 5], [3, 2], [4, 3], [6, 3]], 5870075/330225942528], [[[1, 4], [2, 5], [3, 2], [4, 3], [7, 1]], 5/37158912], [[[1, 4], [2, 5], [3, 2], [4, 3], [9, 1]], 7141/5733089280], [[[1, 4], [2, 5], [3, 2], [4, 3], [14, 1]], 1/1548288], [[[1, 4], [2, 5], [3, 2], [4, 3], [18, 1]], 17/71663616], [[[1, 4], [2, 5], [3, 2], [4, 4], [5, 1]], 2453/9555148800], [[[1, 4], [2, 5], [3, 2], [4, 4], [6, 2]], 1107043519/63403380965376], [[[1, 4], [2, 5], [3, 2], [4, 4], [8, 1]], 8741/5096079360], [[[1, 4], [2, 5], [3, 2], [4, 4], [10, 1]], 1717/17915904000], [[[1, 4], [2, 5], [3, 2], [4, 4], [12, 1]], 37654057/17612050268160], [[[1, 4], [2, 5], [3, 2], [4, 5], [6, 1]], 21041/30576476160], [[[1, 4], [2, 5], [3, 2], [5, 1], [6, 4]], 6101/10749542400], [[[1, 4], [2, 5], [3, 2], [5, 1], [8, 2]], 103/19906560], [[[1, 4], [2, 5], [3, 2], [5, 1], [10, 2]], 1/15552000], [[[1, 4], [2, 5], [3, 2], [5, 1], [12, 2]], 89/59719680], [[[1, 4], [2, 5], [3, 2], [5, 1], [15, 1]], 1/777600], [[[1, 4], [2, 5], [3, 2], [5, 1], [20, 1]], 1/518400], [[[1, 4], [2, 5], [3, 2], [5, 1], [24, 1]], 1/622080], [[[1, 4], [2, 5], [3, 2], [5, 1], [30, 1]], 1/777600], [[[1, 4], [2, 5], [3, 2], [5, 2], [6, 2]], 7877369/4127824281600], [[[1, 4], [2, 5], [3, 2], [5, 2], [8, 1]], 43/11059200], [[[1, 4], [2, 5], [3, 2], [5, 2], [10, 1]], 533/186624000], [[[1, 4], [2, 5], [3, 2], [5, 2], [12, 1]], 35773/15288238080], [[[1, 4], [2, 5], [3, 2], [6, 2], [8, 2]], 36309017/1320903770112], [[[1, 4], [2, 5], [3, 2], [6, 2], [10, 2]], 12757241/4127824281600], [[[1, 4], [2, 5], [3, 2], [6, 2], [12, 2]], 49157471/1981355655168], [[[1, 4], [2, 5], [3, 2], [6, 2], [15, 1]], 594661/41278242816], [[[1, 4], [2, 5], [3, 2], [6, 2], [20, 1]], 594661/27518828544], [[[1, 4], [2, 5], [3, 2], [6, 2], [24, 1]], 12958337/165112971264], [[[1, 4], [2, 5], [3, 2], [6, 2], [30, 1]], 594661/41278242816], [[[1, 4], [2, 5], [3, 2], [6, 3], [7, 1]], 26539/7524679680], [[[1, 4], [2, 5], [3, 2], [6, 3], [9, 1]], 8419/1934917632], [[[1, 4], [2, 5], [3, 2], [6, 3], [14, 1]], 15331/2579890176], [[[1, 4], [2, 5], [3, 2], [6, 3], [18, 1]], 12249979/1114512556032], [[[1, 4], [2, 5], [3, 2], [6, 4], [8, 1]], 111863/51597803520], [[[1, 4], [2, 5], [3, 2], [6, 4], [10, 1]], 2809307/967458816000], [[[1, 4], [2, 5], [3, 2], [6, 4], [12, 1]], 252927937/59440669655040], [[[1, 4], [2, 5], [3, 2], [7, 1], [9, 1]], 25/10450944], [[[1, 4], [2, 5], [3, 2], [7, 1], [14, 1]], 53/1354752], [[[1, 4], [2, 5], [3, 2], [7, 1], [18, 1]], 17/5225472], [[[1, 4], [2, 5], [3, 2], [8, 1], [10, 2]], 1/11059200], [[[1, 4], [2, 5], [3, 2], [8, 1], [12, 2]], 25/10616832], [[[1, 4], [2, 5], [3, 2], [8, 1], [15, 1]], 1/552960], [[[1, 4], [2, 5], [3, 2], [8, 1], [16, 1]], 1/147456], [[[1, 4], [2, 5], [3, 2], [8, 1], [20, 1]], 1/368640], [[[1, 4], [2, 5], [3, 2], [8, 1], [24, 1]], 1/442368], [[[1, 4], [2, 5], [3, 2], [8, 1], [30, 1]], 1/552960], [[[1, 4], [2, 5], [3, 2], [8, 2], [10, 1]], 187/74649600], [[[1, 4], [2, 5], [3, 2], [8, 2], [12, 1]], 112337/24461180928], [[[1, 4], [2, 5], [3, 2], [9, 1], [14, 1]], 139/20901888], [[[1, 4], [2, 5], [3, 2], [9, 1], [18, 1]], 295/26873856], [[[1, 4], [2, 5], [3, 2], [10, 1], [12, 2]], 1387/447897600], [[[1, 4], [2, 5], [3, 2], [10, 1], [15, 1]], 73/46656000], [[[1, 4], [2, 5], [3, 2], [10, 1], [20, 1]], 73/31104000], [[[1, 4], [2, 5], [3, 2], [10, 1], [24, 1]], 73/37324800], [[[1, 4], [2, 5], [3, 2], [10, 1], [30, 1]], 73/46656000], [[[1, 4], [2, 5], [3, 2], [10, 2], [12, 1]], 26801/76441190400], [[[1, 4], [2, 5], [3, 2], [12, 1], [15, 1]], 2609/3822059520], [[[1, 4], [2, 5], [3, 2], [12, 1], [20, 1]], 2609/2548039680], [[[1, 4], [2, 5], [3, 2], [12, 1], [24, 1]], 2609/3057647616], [[[1, 4], [2, 5], [3, 2], [12, 1], [30, 1]], 2609/3822059520], [[[1, 4], [2, 5], [3, 2], [14, 1], [18, 1]], 47/7838208], [[[1, 4], [2, 5], [3, 3], [4, 1], [5, 2]], 273631/143327232000], [[[1, 4], [2, 5], [3, 3], [4, 1], [6, 4]], 157333301/37150418534400], [[[1, 4], [2, 5], [3, 3], [4, 1], [8, 2]], 235411/45864714240], [[[1, 4], [2, 5], [3, 3], [4, 1], [10, 2]], 22303/143327232000], [[[1, 4], [2, 5], [3, 3], [4, 1], [12, 2]], 46565/13759414272], [[[1, 4], [2, 5], [3, 3], [4, 1], [15, 1]], 5791/7166361600], [[[1, 4], [2, 5], [3, 3], [4, 1], [16, 1]], 1/3981312], [[[1, 4], [2, 5], [3, 3], [4, 1], [20, 1]], 5791/4777574400], [[[1, 4], [2, 5], [3, 3], [4, 1], [24, 1]], 5791/5733089280], [[[1, 4], [2, 5], [3, 3], [4, 1], [30, 1]], 5791/7166361600], [[[1, 4], [2, 5], [3, 3], [4, 2], [6, 3]], 156112981/3715041853440], [[[1, 4], [2, 5], [3, 3], [4, 2], [7, 1]], 575/8026324992], [[[1, 4], [2, 5], [3, 3], [4, 2], [9, 1]], 34915/30958682112], [[[1, 4], [2, 5], [3, 3], [4, 2], [14, 1]], 2095/8026324992], [[[1, 4], [2, 5], [3, 3], [4, 2], [18, 1]], 1055/10319560704], [[[1, 4], [2, 5], [3, 3], [4, 3], [5, 1]], 1291/11466178560], [[[1, 4], [2, 5], [3, 3], [4, 3], [6, 2]], 68586367/4953389137920], [[[1, 4], [2, 5], [3, 3], [4, 3], [8, 1]], 12299/18345885696], [[[1, 4], [2, 5], [3, 3], [4, 3], [10, 1]], 3019/57330892800], [[[1, 4], [2, 5], [3, 3], [4, 3], [12, 1]], 48121/55037657088], [[[1, 4], [2, 5], [3, 3], [4, 4], [6, 1]], 6047539/24766945689600], [[[1, 4], [2, 5], [3, 3], [5, 1], [6, 3]], 9341/4031078400], [[[1, 4], [2, 5], [3, 3], [5, 1], [7, 1]], 13/11612160], [[[1, 4], [2, 5], [3, 3], [5, 1], [9, 1]], 71/44789760], [[[1, 4], [2, 5], [3, 3], [5, 1], [14, 1]], 47/11612160], [[[1, 4], [2, 5], [3, 3], [5, 1], [18, 1]], 73/44789760], [[[1, 4], [2, 5], [3, 3], [5, 2], [6, 1]], 1348549/322486272000], [[[1, 4], [2, 5], [3, 3], [6, 1], [8, 2]], 760309/103195607040], [[[1, 4], [2, 5], [3, 3], [6, 1], [10, 2]], 84517/322486272000], [[[1, 4], [2, 5], [3, 3], [6, 1], [12, 2]], 216455/30958682112], [[[1, 4], [2, 5], [3, 3], [6, 1], [15, 1]], 39589/16124313600], [[[1, 4], [2, 5], [3, 3], [6, 1], [20, 1]], 39589/10749542400], [[[1, 4], [2, 5], [3, 3], [6, 1], [24, 1]], 117349/12899450880], [[[1, 4], [2, 5], [3, 3], [6, 1], [30, 1]], 39589/16124313600], [[[1, 4], [2, 5], [3, 3], [6, 2], [7, 1]], 39013/9029615616], [[[1, 4], [2, 5], [3, 3], [6, 2], [9, 1]], 11989483/1114512556032], [[[1, 4], [2, 5], [3, 3], [6, 2], [14, 1]], 15331/2579890176], [[[1, 4], [2, 5], [3, 3], [6, 2], [18, 1]], 526921/116095057920], [[[1, 4], [2, 5], [3, 3], [6, 3], [8, 1]], 409295/92876046336], [[[1, 4], [2, 5], [3, 3], [6, 3], [10, 1]], 2228611/580475289600], [[[1, 4], [2, 5], [3, 3], [6, 3], [12, 1]], 740071/154793410560], [[[1, 4], [2, 5], [3, 3], [7, 1], [8, 1]], 241/167215104], [[[1, 4], [2, 5], [3, 3], [7, 1], [10, 1]], 1/4354560], [[[1, 4], [2, 5], [3, 3], [7, 1], [12, 1]], 79/55738368], [[[1, 4], [2, 5], [3, 3], [8, 1], [9, 1]], 455/214990848], [[[1, 4], [2, 5], [3, 3], [8, 1], [14, 1]], 313/83607552], [[[1, 4], [2, 5], [3, 3], [8, 1], [18, 1]], 551/322486272], [[[1, 4], [2, 5], [3, 3], [9, 1], [10, 1]], 511/503884800], [[[1, 4], [2, 5], [3, 3], [9, 1], [12, 1]], 1129/764411904], [[[1, 4], [2, 5], [3, 3], [10, 1], [14, 1]], 13/43545600], [[[1, 4], [2, 5], [3, 3], [10, 1], [18, 1]], 41/251942400], [[[1, 4], [2, 5], [3, 3], [12, 1], [14, 1]], 463/111476736], [[[1, 4], [2, 5], [3, 3], [12, 1], [18, 1]], 259/143327232], [[[1, 4], [2, 5], [3, 4], [4, 1], [6, 3]], 13482059/2786281390080], [[[1, 4], [2, 5], [3, 4], [4, 1], [7, 1]], 5759/57330892800], [[[1, 4], [2, 5], [3, 4], [4, 1], [9, 1]], 268711/515978035200], [[[1, 4], [2, 5], [3, 4], [4, 1], [14, 1]], 901/4013162496], [[[1, 4], [2, 5], [3, 4], [4, 1], [18, 1]], 805/7739670528], [[[1, 4], [2, 5], [3, 4], [4, 2], [5, 1]], 658141/6879707136000], [[[1, 4], [2, 5], [3, 4], [4, 2], [6, 2]], 11375575/2972033482752], [[[1, 4], [2, 5], [3, 4], [4, 2], [8, 1]], 2950873/11007531417600], [[[1, 4], [2, 5], [3, 4], [4, 2], [10, 1]], 451523/6879707136000], [[[1, 4], [2, 5], [3, 4], [4, 2], [12, 1]], 1940141/4953389137920], [[[1, 4], [2, 5], [3, 4], [4, 3], [6, 1]], 159287/660451885056], [[[1, 4], [2, 5], [3, 4], [5, 1], [6, 2]], 512779/241864704000], [[[1, 4], [2, 5], [3, 4], [5, 1], [8, 1]], 20743/28665446400], [[[1, 4], [2, 5], [3, 4], [5, 1], [10, 1]], 101/921600000], [[[1, 4], [2, 5], [3, 4], [5, 1], [12, 1]], 47/59719680], [[[1, 4], [2, 5], [3, 4], [6, 1], [7, 1]], 7633/10749542400], [[[1, 4], [2, 5], [3, 4], [6, 1], [9, 1]], 269083/145118822400], [[[1, 4], [2, 5], [3, 4], [6, 1], [14, 1]], 79711/60197437440], [[[1, 4], [2, 5], [3, 4], [6, 1], [18, 1]], 881867/1238347284480], [[[1, 4], [2, 5], [3, 4], [6, 2], [8, 1]], 8935/3869835264], [[[1, 4], [2, 5], [3, 4], [6, 2], [10, 1]], 32311/42998169600], [[[1, 4], [2, 5], [3, 4], [6, 2], [12, 1]], 241632001/59440669655040], [[[1, 4], [2, 5], [3, 4], [8, 1], [10, 1]], 871/8957952000], [[[1, 4], [2, 5], [3, 4], [8, 1], [12, 1]], 293/286654464], [[[1, 4], [2, 5], [3, 4], [10, 1], [12, 1]], 73/268738560], [[[1, 4], [2, 5], [3, 5], [4, 1], [5, 1]], 55303/859963392000], [[[1, 4], [2, 5], [3, 5], [4, 1], [6, 2]], 6974063/12383472844800], [[[1, 4], [2, 5], [3, 5], [4, 1], [8, 1]], 31817/275188285440], [[[1, 4], [2, 5], [3, 5], [4, 1], [10, 1]], 7661/429981696000], [[[1, 4], [2, 5], [3, 5], [4, 1], [12, 1]], 343063/2063912140800], [[[1, 4], [2, 5], [3, 5], [4, 2], [6, 1]], 680423/12383472844800], [[[1, 4], [2, 5], [3, 5], [5, 1], [6, 1]], 437/1259712000], [[[1, 4], [2, 5], [3, 5], [6, 1], [8, 1]], 4343/11466178560], [[[1, 4], [2, 5], [3, 5], [6, 1], [10, 1]], 4043/71663616000], [[[1, 4], [2, 5], [3, 5], [6, 1], [12, 1]], 1001279/1547934105600], [[[1, 4], [2, 5], [3, 6], [4, 1], [6, 1]], 7673/309586821120], [[[1, 4], [2, 5], [4, 1], [5, 1], [6, 5]], 247/7166361600], [[[1, 4], [2, 5], [4, 1], [5, 2], [6, 3]], 1777/10749542400], [[[1, 4], [2, 5], [4, 1], [5, 2], [7, 1]], 1279/221184000], [[[1, 4], [2, 5], [4, 1], [5, 2], [9, 1]], 8911/1990656000], [[[1, 4], [2, 5], [4, 1], [5, 2], [14, 1]], 1177/77414400], [[[1, 4], [2, 5], [4, 1], [5, 2], [18, 1]], 1033/149299200], [[[1, 4], [2, 5], [4, 1], [5, 3], [6, 1]], 7/27648000], [[[1, 4], [2, 5], [4, 1], [6, 1], [7, 2]], 5/602112], [[[1, 4], [2, 5], [4, 1], [6, 1], [8, 3]], 38059/1698693120], [[[1, 4], [2, 5], [4, 1], [6, 1], [9, 2]], 11/2985984], [[[1, 4], [2, 5], [4, 1], [6, 1], [10, 3]], 767/103680000], [[[1, 4], [2, 5], [4, 1], [6, 1], [12, 3]], 67/95551488], [[[1, 4], [2, 5], [4, 1], [6, 1], [14, 2]], 1/75264], [[[1, 4], [2, 5], [4, 1], [6, 1], [18, 2]], 29/4478976], [[[1, 4], [2, 5], [4, 1], [6, 1], [28, 1]], 1/43008], [[[1, 4], [2, 5], [4, 1], [6, 1], [36, 1]], 1/55296], [[[1, 4], [2, 5], [4, 1], [6, 3], [8, 2]], 26221/3439853568], [[[1, 4], [2, 5], [4, 1], [6, 3], [10, 2]], 10781/2149908480], [[[1, 4], [2, 5], [4, 1], [6, 3], [12, 2]], 32035/5159780352], [[[1, 4], [2, 5], [4, 1], [6, 3], [15, 1]], 769/537477120], [[[1, 4], [2, 5], [4, 1], [6, 3], [16, 1]], 1/2985984], [[[1, 4], [2, 5], [4, 1], [6, 3], [20, 1]], 769/358318080], [[[1, 4], [2, 5], [4, 1], [6, 3], [24, 1]], 769/429981696], [[[1, 4], [2, 5], [4, 1], [6, 3], [30, 1]], 769/537477120], [[[1, 4], [2, 5], [4, 1], [6, 4], [7, 1]], 83513/401316249600], [[[1, 4], [2, 5], [4, 1], [6, 4], [9, 1]], 64271/515978035200], [[[1, 4], [2, 5], [4, 1], [6, 4], [14, 1]], 901/4013162496], [[[1, 4], [2, 5], [4, 1], [6, 4], [18, 1]], 2383/2579890176], [[[1, 4], [2, 5], [4, 1], [6, 5], [8, 1]], 90793/458647142400], [[[1, 4], [2, 5], [4, 1], [6, 5], [10, 1]], 1249/8957952000], [[[1, 4], [2, 5], [4, 1], [6, 5], [12, 1]], 5191/17199267840], [[[1, 4], [2, 5], [4, 1], [7, 1], [8, 2]], 2899/70778880], [[[1, 4], [2, 5], [4, 1], [7, 1], [10, 2]], 3007/221184000], [[[1, 4], [2, 5], [4, 1], [7, 1], [12, 2]], 313/743178240], [[[1, 4], [2, 5], [4, 1], [7, 1], [15, 1]], 313/77414400], [[[1, 4], [2, 5], [4, 1], [7, 1], [16, 1]], 1/43008], [[[1, 4], [2, 5], [4, 1], [7, 1], [20, 1]], 313/51609600], [[[1, 4], [2, 5], [4, 1], [7, 1], [24, 1]], 313/61931520], [[[1, 4], [2, 5], [4, 1], [7, 1], [30, 1]], 313/77414400], [[[1, 4], [2, 5], [4, 1], [8, 2], [9, 1]], 18211/637009920], [[[1, 4], [2, 5], [4, 1], [8, 2], [14, 1]], 1717/24772608], [[[1, 4], [2, 5], [4, 1], [8, 2], [18, 1]], 1717/47775744], [[[1, 4], [2, 5], [4, 1], [9, 1], [10, 2]], 16783/1990656000], [[[1, 4], [2, 5], [4, 1], [9, 1], [12, 2]], 271/955514880], [[[1, 4], [2, 5], [4, 1], [9, 1], [15, 1]], 271/99532800], [[[1, 4], [2, 5], [4, 1], [9, 1], [16, 1]], 1/55296], [[[1, 4], [2, 5], [4, 1], [9, 1], [20, 1]], 271/66355200], [[[1, 4], [2, 5], [4, 1], [9, 1], [24, 1]], 271/79626240], [[[1, 4], [2, 5], [4, 1], [9, 1], [30, 1]], 271/99532800], [[[1, 4], [2, 5], [4, 1], [10, 2], [14, 1]], 1177/77414400], [[[1, 4], [2, 5], [4, 1], [10, 2], [18, 1]], 1321/149299200], [[[1, 4], [2, 5], [4, 1], [12, 2], [14, 1]], 25/37158912], [[[1, 4], [2, 5], [4, 1], [12, 2], [18, 1]], 25/71663616], [[[1, 4], [2, 5], [4, 1], [14, 1], [15, 1]], 5/774144], [[[1, 4], [2, 5], [4, 1], [14, 1], [16, 1]], 1/21504], [[[1, 4], [2, 5], [4, 1], [14, 1], [20, 1]], 5/516096], [[[1, 4], [2, 5], [4, 1], [14, 1], [24, 1]], 25/3096576], [[[1, 4], [2, 5], [4, 1], [14, 1], [30, 1]], 5/774144], [[[1, 4], [2, 5], [4, 1], [15, 1], [18, 1]], 5/1492992], [[[1, 4], [2, 5], [4, 1], [16, 1], [18, 1]], 1/41472], [[[1, 4], [2, 5], [4, 1], [18, 1], [20, 1]], 5/995328], [[[1, 4], [2, 5], [4, 1], [18, 1], [24, 1]], 25/5971968], [[[1, 4], [2, 5], [4, 1], [18, 1], [30, 1]], 5/1492992], [[[1, 4], [2, 5], [4, 2], [5, 1], [6, 4]], 713581/6879707136000], [[[1, 4], [2, 5], [4, 2], [5, 1], [8, 2]], 662489/8493465600], [[[1, 4], [2, 5], [4, 2], [5, 1], [10, 2]], 3340781/26542080000], [[[1, 4], [2, 5], [4, 2], [5, 1], [12, 2]], 213101/12740198400], [[[1, 4], [2, 5], [4, 2], [5, 1], [15, 1]], 5741/1327104000], [[[1, 4], [2, 5], [4, 2], [5, 1], [16, 1]], 1/15360], [[[1, 4], [2, 5], [4, 2], [5, 1], [20, 1]], 40301/884736000], [[[1, 4], [2, 5], [4, 2], [5, 1], [24, 1]], 5741/1061683200], [[[1, 4], [2, 5], [4, 2], [5, 1], [30, 1]], 5741/1327104000], [[[1, 4], [2, 5], [4, 2], [5, 2], [6, 2]], 12047/11466178560], [[[1, 4], [2, 5], [4, 2], [5, 2], [8, 1]], 771833/42467328000], [[[1, 4], [2, 5], [4, 2], [5, 2], [10, 1]], 2616643/26542080000], [[[1, 4], [2, 5], [4, 2], [5, 2], [12, 1]], 27917/3822059520], [[[1, 4], [2, 5], [4, 2], [6, 2], [8, 2]], 725623/18345885696], [[[1, 4], [2, 5], [4, 2], [6, 2], [10, 2]], 517939/57330892800], [[[1, 4], [2, 5], [4, 2], [6, 2], [12, 2]], 131311/6879707136], [[[1, 4], [2, 5], [4, 2], [6, 2], [15, 1]], 1679/573308928], [[[1, 4], [2, 5], [4, 2], [6, 2], [16, 1]], 5/221184], [[[1, 4], [2, 5], [4, 2], [6, 2], [20, 1]], 8591/382205952], [[[1, 4], [2, 5], [4, 2], [6, 2], [24, 1]], 8395/2293235712], [[[1, 4], [2, 5], [4, 2], [6, 2], [30, 1]], 1679/573308928], [[[1, 4], [2, 5], [4, 2], [6, 3], [7, 1]], 17/42467328], [[[1, 4], [2, 5], [4, 2], [6, 3], [9, 1]], 2111/10319560704], [[[1, 4], [2, 5], [4, 2], [6, 3], [14, 1]], 2095/8026324992], [[[1, 4], [2, 5], [4, 2], [6, 3], [18, 1]], 55585/30958682112], [[[1, 4], [2, 5], [4, 2], [6, 4], [8, 1]], 5012473/11007531417600], [[[1, 4], [2, 5], [4, 2], [6, 4], [10, 1]], 1526963/6879707136000], [[[1, 4], [2, 5], [4, 2], [6, 4], [12, 1]], 3451781/4953389137920], [[[1, 4], [2, 5], [4, 2], [7, 1], [9, 1]], 575/111476736], [[[1, 4], [2, 5], [4, 2], [7, 1], [14, 1]], 1457/9633792], [[[1, 4], [2, 5], [4, 2], [7, 1], [18, 1]], 101/12386304], [[[1, 4], [2, 5], [4, 2], [8, 1], [10, 2]], 1120889/42467328000], [[[1, 4], [2, 5], [4, 2], [8, 1], [12, 2]], 898553/20384317440], [[[1, 4], [2, 5], [4, 2], [8, 1], [15, 1]], 46073/2123366400], [[[1, 4], [2, 5], [4, 2], [8, 1], [16, 1]], 28537/113246208], [[[1, 4], [2, 5], [4, 2], [8, 1], [20, 1]], 174713/1415577600], [[[1, 4], [2, 5], [4, 2], [8, 1], [24, 1]], 142073/1698693120], [[[1, 4], [2, 5], [4, 2], [8, 1], [30, 1]], 46073/2123366400], [[[1, 4], [2, 5], [4, 2], [8, 2], [10, 1]], 930871/8493465600], [[[1, 4], [2, 5], [4, 2], [8, 2], [12, 1]], 775789/6115295232], [[[1, 4], [2, 5], [4, 2], [9, 1], [14, 1]], 1231/111476736], [[[1, 4], [2, 5], [4, 2], [9, 1], [18, 1]], 9299/143327232], [[[1, 4], [2, 5], [4, 2], [10, 1], [12, 2]], 352963/12740198400], [[[1, 4], [2, 5], [4, 2], [10, 1], [15, 1]], 7363/1327104000], [[[1, 4], [2, 5], [4, 2], [10, 1], [16, 1]], 1/10240], [[[1, 4], [2, 5], [4, 2], [10, 1], [20, 1]], 64963/884736000], [[[1, 4], [2, 5], [4, 2], [10, 1], [24, 1]], 7363/1061683200], [[[1, 4], [2, 5], [4, 2], [10, 1], [30, 1]], 7363/1327104000], [[[1, 4], [2, 5], [4, 2], [10, 2], [12, 1]], 236353/19110297600], [[[1, 4], [2, 5], [4, 2], [12, 1], [15, 1]], 4801/955514880], [[[1, 4], [2, 5], [4, 2], [12, 1], [16, 1]], 49/884736], [[[1, 4], [2, 5], [4, 2], [12, 1], [20, 1]], 19789/637009920], [[[1, 4], [2, 5], [4, 2], [12, 1], [24, 1]], 26695/764411904], [[[1, 4], [2, 5], [4, 2], [12, 1], [30, 1]], 4801/955514880], [[[1, 4], [2, 5], [4, 2], [14, 1], [18, 1]], 1231/111476736], [[[1, 4], [2, 5], [4, 3], [5, 1], [6, 3]], 101/716636160], [[[1, 4], [2, 5], [4, 3], [5, 1], [7, 1]], 199/41287680], [[[1, 4], [2, 5], [4, 3], [5, 1], [9, 1]], 571/159252480], [[[1, 4], [2, 5], [4, 3], [5, 1], [14, 1]], 19/2064384], [[[1, 4], [2, 5], [4, 3], [5, 1], [18, 1]], 47/9953280], [[[1, 4], [2, 5], [4, 3], [5, 2], [6, 1]], 38579/12740198400], [[[1, 4], [2, 5], [4, 3], [6, 1], [8, 2]], 394277/4076863488], [[[1, 4], [2, 5], [4, 3], [6, 1], [10, 2]], 18199/2548039680], [[[1, 4], [2, 5], [4, 3], [6, 1], [12, 2]], 84497/2038431744], [[[1, 4], [2, 5], [4, 3], [6, 1], [15, 1]], 343/127401984], [[[1, 4], [2, 5], [4, 3], [6, 1], [16, 1]], 113/1769472], [[[1, 4], [2, 5], [4, 3], [6, 1], [20, 1]], 4951/84934656], [[[1, 4], [2, 5], [4, 3], [6, 1], [24, 1]], 1715/509607936], [[[1, 4], [2, 5], [4, 3], [6, 1], [30, 1]], 343/127401984], [[[1, 4], [2, 5], [4, 3], [6, 2], [7, 1]], 59/55738368], [[[1, 4], [2, 5], [4, 3], [6, 2], [9, 1]], 29/53747712], [[[1, 4], [2, 5], [4, 3], [6, 2], [14, 1]], 1/1548288], [[[1, 4], [2, 5], [4, 3], [6, 2], [18, 1]], 737/382205952], [[[1, 4], [2, 5], [4, 3], [6, 3], [8, 1]], 12103/9172942848], [[[1, 4], [2, 5], [4, 3], [6, 3], [10, 1]], 53/119439360], [[[1, 4], [2, 5], [4, 3], [6, 3], [12, 1]], 272609/165112971264], [[[1, 4], [2, 5], [4, 3], [7, 1], [8, 1]], 895/16515072], [[[1, 4], [2, 5], [4, 3], [7, 1], [10, 1]], 1079/206438400], [[[1, 4], [2, 5], [4, 3], [7, 1], [12, 1]], 1313/53084160], [[[1, 4], [2, 5], [4, 3], [8, 1], [9, 1]], 10427/254803968], [[[1, 4], [2, 5], [4, 3], [8, 1], [14, 1]], 6847/66060288], [[[1, 4], [2, 5], [4, 3], [8, 1], [18, 1]], 6847/127401984], [[[1, 4], [2, 5], [4, 3], [9, 1], [10, 1]], 3019/796262400], [[[1, 4], [2, 5], [4, 3], [9, 1], [12, 1]], 8977/477757440], [[[1, 4], [2, 5], [4, 3], [10, 1], [14, 1]], 19/2064384], [[[1, 4], [2, 5], [4, 3], [10, 1], [18, 1]], 1/207360], [[[1, 4], [2, 5], [4, 3], [12, 1], [14, 1]], 887/18579456], [[[1, 4], [2, 5], [4, 3], [12, 1], [18, 1]], 887/35831808], [[[1, 4], [2, 5], [4, 4], [5, 1], [6, 2]], 26219/71663616000], [[[1, 4], [2, 5], [4, 4], [5, 1], [8, 1]], 174499/4246732800], [[[1, 4], [2, 5], [4, 4], [5, 1], [10, 1]], 789931/22118400000], [[[1, 4], [2, 5], [4, 4], [5, 1], [12, 1]], 65681/3185049600], [[[1, 4], [2, 5], [4, 4], [6, 1], [7, 1]], 23881/22295347200], [[[1, 4], [2, 5], [4, 4], [6, 1], [9, 1]], 6647/10749542400], [[[1, 4], [2, 5], [4, 4], [6, 1], [14, 1]], 17161/17836277760], [[[1, 4], [2, 5], [4, 4], [6, 1], [18, 1]], 2030771/1100753141760], [[[1, 4], [2, 5], [4, 4], [6, 2], [8, 1]], 8113/2293235712], [[[1, 4], [2, 5], [4, 4], [6, 2], [10, 1]], 30883/38220595200], [[[1, 4], [2, 5], [4, 4], [6, 2], [12, 1]], 66054121/17612050268160], [[[1, 4], [2, 5], [4, 4], [8, 1], [10, 1]], 1878431/42467328000], [[[1, 4], [2, 5], [4, 4], [8, 1], [12, 1]], 182147/1274019840], [[[1, 4], [2, 5], [4, 4], [10, 1], [12, 1]], 73783/3185049600], [[[1, 4], [2, 5], [4, 5], [5, 1], [6, 1]], 43/88473600], [[[1, 4], [2, 5], [4, 5], [6, 1], [8, 1]], 3648109/407686348800], [[[1, 4], [2, 5], [4, 5], [6, 1], [10, 1]], 9047/7962624000], [[[1, 4], [2, 5], [4, 5], [6, 1], [12, 1]], 6785/1019215872], [[[1, 4], [2, 5], [5, 1], [6, 2], [8, 2]], 479/298598400], [[[1, 4], [2, 5], [5, 1], [6, 2], [10, 2]], 2089/466560000], [[[1, 4], [2, 5], [5, 1], [6, 2], [12, 2]], 703/223948800], [[[1, 4], [2, 5], [5, 1], [6, 2], [15, 1]], 37/23328000], [[[1, 4], [2, 5], [5, 1], [6, 2], [20, 1]], 37/15552000], [[[1, 4], [2, 5], [5, 1], [6, 2], [24, 1]], 37/18662400], [[[1, 4], [2, 5], [5, 1], [6, 2], [30, 1]], 37/23328000], [[[1, 4], [2, 5], [5, 1], [6, 3], [7, 1]], 17/104509440], [[[1, 4], [2, 5], [5, 1], [6, 3], [9, 1]], 1/8957952], [[[1, 4], [2, 5], [5, 1], [6, 3], [14, 1]], 13/43545600], [[[1, 4], [2, 5], [5, 1], [6, 3], [18, 1]], 259/251942400], [[[1, 4], [2, 5], [5, 1], [6, 4], [8, 1]], 2263/28665446400], [[[1, 4], [2, 5], [5, 1], [6, 4], [10, 1]], 3527/24883200000], [[[1, 4], [2, 5], [5, 1], [6, 4], [12, 1]], 37/134369280], [[[1, 4], [2, 5], [5, 1], [7, 1], [9, 1]], 1/161280], [[[1, 4], [2, 5], [5, 1], [7, 1], [14, 1]], 53/376320], [[[1, 4], [2, 5], [5, 1], [7, 1], [18, 1]], 17/1451520], [[[1, 4], [2, 5], [5, 1], [8, 1], [10, 2]], 23/110592000], [[[1, 4], [2, 5], [5, 1], [8, 1], [12, 2]], 23/53084160], [[[1, 4], [2, 5], [5, 1], [8, 1], [15, 1]], 23/5529600], [[[1, 4], [2, 5], [5, 1], [8, 1], [16, 1]], 1/40960], [[[1, 4], [2, 5], [5, 1], [8, 1], [20, 1]], 23/3686400], [[[1, 4], [2, 5], [5, 1], [8, 1], [24, 1]], 23/4423680], [[[1, 4], [2, 5], [5, 1], [8, 1], [30, 1]], 23/5529600], [[[1, 4], [2, 5], [5, 1], [8, 2], [10, 1]], 181/92160000], [[[1, 4], [2, 5], [5, 1], [9, 1], [14, 1]], 1/53760], [[[1, 4], [2, 5], [5, 1], [9, 1], [18, 1]], 23/622080], [[[1, 4], [2, 5], [5, 1], [10, 1], [12, 2]], 181/138240000], [[[1, 4], [2, 5], [5, 1], [10, 1], [15, 1]], 181/14400000], [[[1, 4], [2, 5], [5, 1], [10, 1], [20, 1]], 181/9600000], [[[1, 4], [2, 5], [5, 1], [10, 1], [24, 1]], 181/11520000], [[[1, 4], [2, 5], [5, 1], [10, 1], [30, 1]], 181/14400000], [[[1, 4], [2, 5], [5, 1], [14, 1], [18, 1]], 13/604800], [[[1, 4], [2, 5], [5, 2], [6, 1], [7, 1]], 31/290304000], [[[1, 4], [2, 5], [5, 2], [6, 1], [9, 1]], 19/279936000], [[[1, 4], [2, 5], [5, 2], [6, 1], [14, 1]], 31/232243200], [[[1, 4], [2, 5], [5, 2], [6, 1], [18, 1]], 11489/14332723200], [[[1, 4], [2, 5], [5, 2], [6, 2], [8, 1]], 1/7464960], [[[1, 4], [2, 5], [5, 2], [6, 2], [10, 1]], 73/497664000], [[[1, 4], [2, 5], [5, 2], [6, 2], [12, 1]], 2941/15288238080], [[[1, 4], [2, 5], [5, 2], [8, 1], [10, 1]], 11/34560000], [[[1, 4], [2, 5], [6, 1], [7, 1], [8, 2]], 751/92897280], [[[1, 4], [2, 5], [6, 1], [7, 1], [10, 2]], 5503/290304000], [[[1, 4], [2, 5], [6, 1], [7, 1], [12, 2]], 31/139345920], [[[1, 4], [2, 5], [6, 1], [7, 1], [15, 1]], 31/14515200], [[[1, 4], [2, 5], [6, 1], [7, 1], [20, 1]], 31/9676800], [[[1, 4], [2, 5], [6, 1], [7, 1], [24, 1]], 31/11612160], [[[1, 4], [2, 5], [6, 1], [7, 1], [30, 1]], 31/14515200], [[[1, 4], [2, 5], [6, 1], [8, 2], [9, 1]], 257/44789760], [[[1, 4], [2, 5], [6, 1], [8, 2], [14, 1]], 1039/74317824], [[[1, 4], [2, 5], [6, 1], [8, 2], [18, 1]], 41729/4586471424], [[[1, 4], [2, 5], [6, 1], [9, 1], [10, 2]], 2827/279936000], [[[1, 4], [2, 5], [6, 1], [9, 1], [12, 2]], 19/134369280], [[[1, 4], [2, 5], [6, 1], [9, 1], [15, 1]], 19/13996800], [[[1, 4], [2, 5], [6, 1], [9, 1], [20, 1]], 19/9331200], [[[1, 4], [2, 5], [6, 1], [9, 1], [24, 1]], 19/11197440], [[[1, 4], [2, 5], [6, 1], [9, 1], [30, 1]], 19/13996800], [[[1, 4], [2, 5], [6, 1], [10, 2], [14, 1]], 457/33177600], [[[1, 4], [2, 5], [6, 1], [10, 2], [18, 1]], 149729/14332723200], [[[1, 4], [2, 5], [6, 1], [12, 2], [14, 1]], 31/111476736], [[[1, 4], [2, 5], [6, 1], [12, 2], [18, 1]], 1121/6879707136], [[[1, 4], [2, 5], [6, 1], [14, 1], [15, 1]], 31/11612160], [[[1, 4], [2, 5], [6, 1], [14, 1], [20, 1]], 31/7741440], [[[1, 4], [2, 5], [6, 1], [14, 1], [24, 1]], 31/9289728], [[[1, 4], [2, 5], [6, 1], [14, 1], [30, 1]], 31/11612160], [[[1, 4], [2, 5], [6, 1], [15, 1], [18, 1]], 1121/716636160], [[[1, 4], [2, 5], [6, 1], [18, 1], [20, 1]], 1121/477757440], [[[1, 4], [2, 5], [6, 1], [18, 1], [24, 1]], 1121/573308928], [[[1, 4], [2, 5], [6, 1], [18, 1], [30, 1]], 1121/716636160], [[[1, 4], [2, 5], [6, 2], [7, 1], [9, 1]], 37/7838208], [[[1, 4], [2, 5], [6, 2], [7, 1], [14, 1]], 1/15876], [[[1, 4], [2, 5], [6, 2], [7, 1], [18, 1]], 181/26127360], [[[1, 4], [2, 5], [6, 2], [8, 1], [10, 2]], 739/74649600], [[[1, 4], [2, 5], [6, 2], [8, 1], [12, 2]], 517/143327232], [[[1, 4], [2, 5], [6, 2], [8, 1], [15, 1]], 1/373248], [[[1, 4], [2, 5], [6, 2], [8, 1], [16, 1]], 5/442368], [[[1, 4], [2, 5], [6, 2], [8, 1], [20, 1]], 1/248832], [[[1, 4], [2, 5], [6, 2], [8, 1], [24, 1]], 5/1492992], [[[1, 4], [2, 5], [6, 2], [8, 1], [30, 1]], 1/373248], [[[1, 4], [2, 5], [6, 2], [8, 2], [10, 1]], 1441/159252480], [[[1, 4], [2, 5], [6, 2], [8, 2], [12, 1]], 141713/24461180928], [[[1, 4], [2, 5], [6, 2], [9, 1], [14, 1]], 47/7838208], [[[1, 4], [2, 5], [6, 2], [9, 1], [18, 1]], 439/25194240], [[[1, 4], [2, 5], [6, 2], [10, 1], [12, 2]], 829/238878720], [[[1, 4], [2, 5], [6, 2], [10, 1], [15, 1]], 73/24883200], [[[1, 4], [2, 5], [6, 2], [10, 1], [20, 1]], 73/16588800], [[[1, 4], [2, 5], [6, 2], [10, 1], [24, 1]], 73/19906560], [[[1, 4], [2, 5], [6, 2], [10, 1], [30, 1]], 73/24883200], [[[1, 4], [2, 5], [6, 2], [10, 2], [12, 1]], 526193/76441190400], [[[1, 4], [2, 5], [6, 2], [12, 1], [15, 1]], 4337/3822059520], [[[1, 4], [2, 5], [6, 2], [12, 1], [20, 1]], 4337/2548039680], [[[1, 4], [2, 5], [6, 2], [12, 1], [24, 1]], 4337/3057647616], [[[1, 4], [2, 5], [6, 2], [12, 1], [30, 1]], 4337/3822059520], [[[1, 4], [2, 5], [6, 2], [14, 1], [18, 1]], 139/20901888], [[[1, 4], [2, 5], [6, 3], [7, 1], [8, 1]], 283/83607552], [[[1, 4], [2, 5], [6, 3], [7, 1], [10, 1]], 727/130636800], [[[1, 4], [2, 5], [6, 3], [7, 1], [12, 1]], 631/139345920], [[[1, 4], [2, 5], [6, 3], [8, 1], [9, 1]], 671/322486272], [[[1, 4], [2, 5], [6, 3], [8, 1], [14, 1]], 313/83607552], [[[1, 4], [2, 5], [6, 3], [8, 1], [18, 1]], 1181/322486272], [[[1, 4], [2, 5], [6, 3], [9, 1], [10, 1]], 373/125971200], [[[1, 4], [2, 5], [6, 3], [9, 1], [12, 1]], 349/134369280], [[[1, 4], [2, 5], [6, 3], [10, 1], [14, 1]], 47/11612160], [[[1, 4], [2, 5], [6, 3], [10, 1], [18, 1]], 47/11197440], [[[1, 4], [2, 5], [6, 3], [12, 1], [14, 1]], 463/111476736], [[[1, 4], [2, 5], [6, 3], [12, 1], [18, 1]], 2393/764411904], [[[1, 4], [2, 5], [6, 4], [8, 1], [10, 1]], 16561/8957952000], [[[1, 4], [2, 5], [6, 4], [8, 1], [12, 1]], 821/429981696], [[[1, 4], [2, 5], [6, 4], [10, 1], [12, 1]], 533/238878720], [[[1, 4], [2, 5], [7, 1], [8, 1], [9, 1]], 25/2322432], [[[1, 4], [2, 5], [7, 1], [8, 1], [14, 1]], 5/25088], [[[1, 4], [2, 5], [7, 1], [8, 1], [18, 1]], 19/1161216], [[[1, 4], [2, 5], [7, 1], [9, 1], [10, 1]], 1/60480], [[[1, 4], [2, 5], [7, 1], [10, 1], [14, 1]], 71/313600], [[[1, 4], [2, 5], [7, 1], [10, 1], [18, 1]], 37/1814400], [[[1, 4], [2, 5], [8, 1], [9, 1], [14, 1]], 25/1161216], [[[1, 4], [2, 5], [8, 1], [9, 1], [18, 1]], 59/1119744], [[[1, 4], [2, 5], [8, 1], [10, 1], [12, 2]], 11/16588800], [[[1, 4], [2, 5], [8, 1], [10, 1], [15, 1]], 11/1728000], [[[1, 4], [2, 5], [8, 1], [10, 1], [16, 1]], 1/24576], [[[1, 4], [2, 5], [8, 1], [10, 1], [20, 1]], 11/1152000], [[[1, 4], [2, 5], [8, 1], [10, 1], [24, 1]], 11/1382400], [[[1, 4], [2, 5], [8, 1], [10, 1], [30, 1]], 11/1728000], [[[1, 4], [2, 5], [8, 1], [14, 1], [18, 1]], 25/1161216], [[[1, 4], [2, 5], [9, 1], [10, 1], [14, 1]], 13/604800], [[[1, 4], [2, 5], [9, 1], [10, 1], [18, 1]], 839/13996800], [[[1, 4], [2, 5], [10, 1], [14, 1], [18, 1]], 1/53760], [[[1, 4], [2, 7], [3, 1], [4, 1], [6, 5]], 11200037/37150418534400], [[[1, 4], [2, 7], [3, 1], [4, 2], [5, 2]], 5597237/8026324992000], [[[1, 4], [2, 7], [3, 1], [4, 2], [6, 4]], 1833184789/2080423437926400], [[[1, 4], [2, 7], [3, 1], [4, 2], [8, 2]], 17145137/2568423997440], [[[1, 4], [2, 7], [3, 1], [4, 2], [10, 2]], 14366837/8026324992000], [[[1, 4], [2, 7], [3, 1], [4, 2], [12, 2]], 652145/770527199232], [[[1, 4], [2, 7], [3, 1], [4, 2], [15, 1]], 178229/401316249600], [[[1, 4], [2, 7], [3, 1], [4, 2], [16, 1]], 1/589824], [[[1, 4], [2, 7], [3, 1], [4, 2], [20, 1]], 299189/267544166400], [[[1, 4], [2, 7], [3, 1], [4, 2], [24, 1]], 178229/321052999680], [[[1, 4], [2, 7], [3, 1], [4, 2], [30, 1]], 178229/401316249600], [[[1, 4], [2, 7], [3, 1], [4, 3], [6, 3]], 364013/137594142720], [[[1, 4], [2, 7], [3, 1], [4, 3], [7, 1]], 11/23592960], [[[1, 4], [2, 7], [3, 1], [4, 3], [9, 1]], 22651/45864714240], [[[1, 4], [2, 7], [3, 1], [4, 3], [14, 1]], 979/371589120], [[[1, 4], [2, 7], [3, 1], [4, 3], [18, 1]], 5207/5733089280], [[[1, 4], [2, 7], [3, 1], [4, 4], [5, 1]], 12650779/32105299968000], [[[1, 4], [2, 7], [3, 1], [4, 4], [6, 2]], 221826823/57789539942400], [[[1, 4], [2, 7], [3, 1], [4, 4], [8, 1]], 8320213/2446118092800], [[[1, 4], [2, 7], [3, 1], [4, 4], [10, 1]], 309793/764411904000], [[[1, 4], [2, 7], [3, 1], [4, 4], [12, 1]], 1076771/687970713600], [[[1, 4], [2, 7], [3, 1], [4, 5], [6, 1]], 2669129/3669177139200], [[[1, 4], [2, 7], [3, 1], [5, 1], [6, 4]], 28622609/108355387392000], [[[1, 4], [2, 7], [3, 1], [5, 1], [8, 2]], 99289/133772083200], [[[1, 4], [2, 7], [3, 1], [5, 1], [10, 2]], 702577/418037760000], [[[1, 4], [2, 7], [3, 1], [5, 1], [12, 2]], 1009/200658124800], [[[1, 4], [2, 7], [3, 1], [5, 1], [15, 1]], 1009/20901888000], [[[1, 4], [2, 7], [3, 1], [5, 1], [20, 1]], 1009/13934592000], [[[1, 4], [2, 7], [3, 1], [5, 1], [24, 1]], 1009/16721510400], [[[1, 4], [2, 7], [3, 1], [5, 1], [30, 1]], 1009/20901888000], [[[1, 4], [2, 7], [3, 1], [5, 2], [6, 2]], 294883/752467968000], [[[1, 4], [2, 7], [3, 1], [5, 2], [8, 1]], 8863/31850496000], [[[1, 4], [2, 7], [3, 1], [5, 2], [10, 1]], 11107/9953280000], [[[1, 4], [2, 7], [3, 1], [5, 2], [12, 1]], 67/62705664000], [[[1, 4], [2, 7], [3, 1], [6, 2], [8, 2]], 854827/240789749760], [[[1, 4], [2, 7], [3, 1], [6, 2], [10, 2]], 7703179/752467968000], [[[1, 4], [2, 7], [3, 1], [6, 2], [12, 2]], 51343/51597803520], [[[1, 4], [2, 7], [3, 1], [6, 2], [15, 1]], 32803/37623398400], [[[1, 4], [2, 7], [3, 1], [6, 2], [20, 1]], 32803/25082265600], [[[1, 4], [2, 7], [3, 1], [6, 2], [24, 1]], 84211/30098718720], [[[1, 4], [2, 7], [3, 1], [6, 2], [30, 1]], 32803/37623398400], [[[1, 4], [2, 7], [3, 1], [6, 3], [7, 1]], 283/104509440], [[[1, 4], [2, 7], [3, 1], [6, 3], [9, 1]], 1786811/928760463360], [[[1, 4], [2, 7], [3, 1], [6, 3], [14, 1]], 3769/627056640], [[[1, 4], [2, 7], [3, 1], [6, 3], [18, 1]], 21467/6772211712], [[[1, 4], [2, 7], [3, 1], [6, 4], [8, 1]], 13127263/8255648563200], [[[1, 4], [2, 7], [3, 1], [6, 4], [10, 1]], 7987363/2579890176000], [[[1, 4], [2, 7], [3, 1], [6, 4], [12, 1]], 654667/290237644800], [[[1, 4], [2, 7], [3, 1], [7, 1], [9, 1]], 1639/17557585920], [[[1, 4], [2, 7], [3, 1], [7, 1], [14, 1]], 29/10838016], [[[1, 4], [2, 7], [3, 1], [7, 1], [18, 1]], 17/41803776], [[[1, 4], [2, 7], [3, 1], [8, 1], [10, 2]], 49759/31850496000], [[[1, 4], [2, 7], [3, 1], [8, 1], [12, 2]], 223/15288238080], [[[1, 4], [2, 7], [3, 1], [8, 1], [15, 1]], 223/1592524800], [[[1, 4], [2, 7], [3, 1], [8, 1], [16, 1]], 1/3538944], [[[1, 4], [2, 7], [3, 1], [8, 1], [20, 1]], 223/1061683200], [[[1, 4], [2, 7], [3, 1], [8, 1], [24, 1]], 223/1274019840], [[[1, 4], [2, 7], [3, 1], [8, 1], [30, 1]], 223/1592524800], [[[1, 4], [2, 7], [3, 1], [8, 2], [10, 1]], 6787/3185049600], [[[1, 4], [2, 7], [3, 1], [8, 2], [12, 1]], 9517/20065812480], [[[1, 4], [2, 7], [3, 1], [9, 1], [14, 1]], 3751/3344302080], [[[1, 4], [2, 7], [3, 1], [9, 1], [18, 1]], 8683/12899450880], [[[1, 4], [2, 7], [3, 1], [10, 1], [12, 2]], 163/4777574400], [[[1, 4], [2, 7], [3, 1], [10, 1], [15, 1]], 163/497664000], [[[1, 4], [2, 7], [3, 1], [10, 1], [20, 1]], 163/331776000], [[[1, 4], [2, 7], [3, 1], [10, 1], [24, 1]], 163/398131200], [[[1, 4], [2, 7], [3, 1], [10, 1], [30, 1]], 163/497664000], [[[1, 4], [2, 7], [3, 1], [10, 2], [12, 1]], 108931/62705664000], [[[1, 4], [2, 7], [3, 1], [12, 1], [15, 1]], 67/3135283200], [[[1, 4], [2, 7], [3, 1], [12, 1], [20, 1]], 67/2090188800], [[[1, 4], [2, 7], [3, 1], [12, 1], [24, 1]], 67/2508226560], [[[1, 4], [2, 7], [3, 1], [12, 1], [30, 1]], 67/3135283200], [[[1, 4], [2, 7], [3, 1], [14, 1], [18, 1]], 73/41803776], [[[1, 4], [2, 7], [3, 2], [4, 1], [5, 2]], 15433/47775744000], [[[1, 4], [2, 7], [3, 2], [4, 1], [6, 4]], 7869229/2476694568960], [[[1, 4], [2, 7], [3, 2], [4, 1], [8, 2]], 25693/15288238080], [[[1, 4], [2, 7], [3, 2], [4, 1], [10, 2]], 4109/9555148800], [[[1, 4], [2, 7], [3, 2], [4, 1], [12, 2]], 2717/11466178560], [[[1, 4], [2, 7], [3, 2], [4, 1], [15, 1]], 77/477757440], [[[1, 4], [2, 7], [3, 2], [4, 1], [20, 1]], 77/318504960], [[[1, 4], [2, 7], [3, 2], [4, 1], [24, 1]], 77/382205952], [[[1, 4], [2, 7], [3, 2], [4, 1], [30, 1]], 77/477757440], [[[1, 4], [2, 7], [3, 2], [4, 2], [6, 3]], 437152373/59440669655040], [[[1, 4], [2, 7], [3, 2], [4, 2], [7, 1]], 95/222953472], [[[1, 4], [2, 7], [3, 2], [4, 2], [9, 1]], 406289/722369249280], [[[1, 4], [2, 7], [3, 2], [4, 2], [14, 1]], 1651/668860416], [[[1, 4], [2, 7], [3, 2], [4, 2], [18, 1]], 4361/5159780352], [[[1, 4], [2, 7], [3, 2], [4, 3], [5, 1]], 3151/6370099200], [[[1, 4], [2, 7], [3, 2], [4, 3], [6, 2]], 89273651/13209037701120], [[[1, 4], [2, 7], [3, 2], [4, 3], [8, 1]], 24293/15288238080], [[[1, 4], [2, 7], [3, 2], [4, 3], [10, 1]], 2041/6370099200], [[[1, 4], [2, 7], [3, 2], [4, 3], [12, 1]], 598961/733835427840], [[[1, 4], [2, 7], [3, 2], [4, 4], [6, 1]], 586251727/475525357240320], [[[1, 4], [2, 7], [3, 2], [5, 1], [6, 3]], 1986881/1289945088000], [[[1, 4], [2, 7], [3, 2], [5, 1], [7, 1]], 1/23224320], [[[1, 4], [2, 7], [3, 2], [5, 1], [9, 1]], 2269/37623398400], [[[1, 4], [2, 7], [3, 2], [5, 1], [14, 1]], 11/7741440], [[[1, 4], [2, 7], [3, 2], [5, 1], [18, 1]], 7/17915904], [[[1, 4], [2, 7], [3, 2], [5, 2], [6, 1]], 26975897/30958682112000], [[[1, 4], [2, 7], [3, 2], [6, 1], [8, 2]], 25885961/9906778275840], [[[1, 4], [2, 7], [3, 2], [6, 1], [10, 2]], 8953477/6191736422400], [[[1, 4], [2, 7], [3, 2], [6, 1], [12, 2]], 5496623/14860167413760], [[[1, 4], [2, 7], [3, 2], [6, 1], [15, 1]], 109573/309586821120], [[[1, 4], [2, 7], [3, 2], [6, 1], [20, 1]], 109573/206391214080], [[[1, 4], [2, 7], [3, 2], [6, 1], [24, 1]], 171781/247669456896], [[[1, 4], [2, 7], [3, 2], [6, 1], [30, 1]], 109573/309586821120], [[[1, 4], [2, 7], [3, 2], [6, 2], [7, 1]], 2621179/561842749440], [[[1, 4], [2, 7], [3, 2], [6, 2], [9, 1]], 523207/135444234240], [[[1, 4], [2, 7], [3, 2], [6, 2], [14, 1]], 2699353/137594142720], [[[1, 4], [2, 7], [3, 2], [6, 2], [18, 1]], 83051549/11145125560320], [[[1, 4], [2, 7], [3, 2], [6, 3], [8, 1]], 3499999/825564856320], [[[1, 4], [2, 7], [3, 2], [6, 3], [10, 1]], 62768693/6191736422400], [[[1, 4], [2, 7], [3, 2], [6, 3], [12, 1]], 20411719/2972033482752], [[[1, 4], [2, 7], [3, 2], [7, 1], [8, 1]], 1/4644864], [[[1, 4], [2, 7], [3, 2], [7, 1], [10, 1]], 19/29030400], [[[1, 4], [2, 7], [3, 2], [7, 1], [12, 1]], 5419/93640458240], [[[1, 4], [2, 7], [3, 2], [8, 1], [9, 1]], 703/2866544640], [[[1, 4], [2, 7], [3, 2], [8, 1], [14, 1]], 5/2322432], [[[1, 4], [2, 7], [3, 2], [8, 1], [18, 1]], 1/1492992], [[[1, 4], [2, 7], [3, 2], [9, 1], [10, 1]], 119/179159040], [[[1, 4], [2, 7], [3, 2], [9, 1], [12, 1]], 1/17635968], [[[1, 4], [2, 7], [3, 2], [10, 1], [14, 1]], 397/174182400], [[[1, 4], [2, 7], [3, 2], [10, 1], [18, 1]], 607/671846400], [[[1, 4], [2, 7], [3, 2], [12, 1], [14, 1]], 14071/17836277760], [[[1, 4], [2, 7], [3, 2], [12, 1], [18, 1]], 16123/68797071360], [[[1, 4], [2, 7], [3, 3], [4, 1], [6, 3]], 25661573/3715041853440], [[[1, 4], [2, 7], [3, 3], [4, 1], [7, 1]], 787/6688604160], [[[1, 4], [2, 7], [3, 3], [4, 1], [9, 1]], 311/1719926784], [[[1, 4], [2, 7], [3, 3], [4, 1], [14, 1]], 1315/1337720832], [[[1, 4], [2, 7], [3, 3], [4, 1], [18, 1]], 8143/25798901760], [[[1, 4], [2, 7], [3, 3], [4, 2], [5, 1]], 1801/6370099200], [[[1, 4], [2, 7], [3, 3], [4, 2], [6, 2]], 46242739/13869489586176], [[[1, 4], [2, 7], [3, 3], [4, 2], [8, 1]], 188191/275188285440], [[[1, 4], [2, 7], [3, 3], [4, 2], [10, 1]], 17867/171992678400], [[[1, 4], [2, 7], [3, 3], [4, 2], [12, 1]], 6292513/14860167413760], [[[1, 4], [2, 7], [3, 3], [4, 3], [6, 1]], 1289719/3715041853440], [[[1, 4], [2, 7], [3, 3], [5, 1], [6, 2]], 1051643/401316249600], [[[1, 4], [2, 7], [3, 3], [5, 1], [8, 1]], 17/159252480], [[[1, 4], [2, 7], [3, 3], [5, 1], [10, 1]], 41/124416000], [[[1, 4], [2, 7], [3, 3], [5, 1], [12, 1]], 6049/200658124800], [[[1, 4], [2, 7], [3, 3], [6, 1], [7, 1]], 2071/4232632320], [[[1, 4], [2, 7], [3, 3], [6, 1], [9, 1]], 4808107/8358844170240], [[[1, 4], [2, 7], [3, 3], [6, 1], [14, 1]], 52757/16930529280], [[[1, 4], [2, 7], [3, 3], [6, 1], [18, 1]], 162199/152374763520], [[[1, 4], [2, 7], [3, 3], [6, 2], [8, 1]], 25821647/7430083706880], [[[1, 4], [2, 7], [3, 3], [6, 2], [10, 1]], 6185171/2321901158400], [[[1, 4], [2, 7], [3, 3], [6, 2], [12, 1]], 5559161/1625330810880], [[[1, 4], [2, 7], [3, 3], [8, 1], [10, 1]], 2813/7166361600], [[[1, 4], [2, 7], [3, 3], [8, 1], [12, 1]], 2143/15288238080], [[[1, 4], [2, 7], [3, 3], [10, 1], [12, 1]], 1891/4777574400], [[[1, 4], [2, 7], [3, 4], [4, 1], [5, 1]], 137261/2293235712000], [[[1, 4], [2, 7], [3, 4], [4, 1], [6, 2]], 94131877/111451255603200], [[[1, 4], [2, 7], [3, 4], [4, 1], [8, 1]], 100575703/924632639078400], [[[1, 4], [2, 7], [3, 4], [4, 1], [10, 1]], 197671/6879707136000], [[[1, 4], [2, 7], [3, 4], [4, 1], [12, 1]], 39637/458647142400], [[[1, 4], [2, 7], [3, 4], [4, 2], [6, 1]], 339726023/1783220089651200], [[[1, 4], [2, 7], [3, 4], [5, 1], [6, 1]], 31373761/116095057920000], [[[1, 4], [2, 7], [3, 4], [6, 1], [8, 1]], 28175263/74300837068800], [[[1, 4], [2, 7], [3, 4], [6, 1], [10, 1]], 1745317/6879707136000], [[[1, 4], [2, 7], [3, 4], [6, 1], [12, 1]], 153762817/445805022412800], [[[1, 4], [2, 7], [3, 5], [4, 1], [6, 1]], 2601317/37150418534400], [[[1, 4], [2, 7], [4, 1], [5, 1], [6, 4]], 143407/764411904000], [[[1, 4], [2, 7], [4, 1], [5, 1], [8, 2]], 2687/943718400], [[[1, 4], [2, 7], [4, 1], [5, 1], [10, 2]], 22117/983040000], [[[1, 4], [2, 7], [4, 1], [5, 1], [12, 2]], 47/1415577600], [[[1, 4], [2, 7], [4, 1], [5, 1], [15, 1]], 47/147456000], [[[1, 4], [2, 7], [4, 1], [5, 1], [20, 1]], 47/98304000], [[[1, 4], [2, 7], [4, 1], [5, 1], [24, 1]], 47/117964800], [[[1, 4], [2, 7], [4, 1], [5, 1], [30, 1]], 47/147456000], [[[1, 4], [2, 7], [4, 1], [5, 2], [6, 2]], 214277/429981696000], [[[1, 4], [2, 7], [4, 1], [5, 2], [8, 1]], 2665303/3567255552000], [[[1, 4], [2, 7], [4, 1], [5, 2], [10, 1]], 41831/26542080000], [[[1, 4], [2, 7], [4, 1], [5, 2], [12, 1]], 11/5308416000], [[[1, 4], [2, 7], [4, 1], [6, 2], [8, 2]], 789521/137594142720], [[[1, 4], [2, 7], [4, 1], [6, 2], [10, 2]], 3124013/429981696000], [[[1, 4], [2, 7], [4, 1], [6, 2], [12, 2]], 153727/103195607040], [[[1, 4], [2, 7], [4, 1], [6, 2], [15, 1]], 15557/21499084800], [[[1, 4], [2, 7], [4, 1], [6, 2], [16, 1]], 7/3981312], [[[1, 4], [2, 7], [4, 1], [6, 2], [20, 1]], 15557/14332723200], [[[1, 4], [2, 7], [4, 1], [6, 2], [24, 1]], 15557/17199267840], [[[1, 4], [2, 7], [4, 1], [6, 2], [30, 1]], 15557/21499084800], [[[1, 4], [2, 7], [4, 1], [6, 3], [7, 1]], 28111/20065812480], [[[1, 4], [2, 7], [4, 1], [6, 3], [9, 1]], 23743/25798901760], [[[1, 4], [2, 7], [4, 1], [6, 3], [14, 1]], 52319/20065812480], [[[1, 4], [2, 7], [4, 1], [6, 3], [18, 1]], 126551/77396705280], [[[1, 4], [2, 7], [4, 1], [6, 4], [8, 1]], 1153536983/924632639078400], [[[1, 4], [2, 7], [4, 1], [6, 4], [10, 1]], 3291757/2293235712000], [[[1, 4], [2, 7], [4, 1], [6, 4], [12, 1]], 5226893/4127824281600], [[[1, 4], [2, 7], [4, 1], [7, 1], [9, 1]], 67/92897280], [[[1, 4], [2, 7], [4, 1], [7, 1], [14, 1]], 2599/144506880], [[[1, 4], [2, 7], [4, 1], [7, 1], [18, 1]], 73/39813120], [[[1, 4], [2, 7], [4, 1], [8, 1], [10, 2]], 33098839/3567255552000], [[[1, 4], [2, 7], [4, 1], [8, 1], [12, 2]], 125143/1712282664960], [[[1, 4], [2, 7], [4, 1], [8, 1], [15, 1]], 125143/178362777600], [[[1, 4], [2, 7], [4, 1], [8, 1], [16, 1]], 29/5242880], [[[1, 4], [2, 7], [4, 1], [8, 1], [20, 1]], 33899/23781703680], [[[1, 4], [2, 7], [4, 1], [8, 1], [24, 1]], 213847/142690222080], [[[1, 4], [2, 7], [4, 1], [8, 1], [30, 1]], 125143/178362777600], [[[1, 4], [2, 7], [4, 1], [8, 2], [10, 1]], 98999/8493465600], [[[1, 4], [2, 7], [4, 1], [8, 2], [12, 1]], 3491/1698693120], [[[1, 4], [2, 7], [4, 1], [9, 1], [14, 1]], 67/18579456], [[[1, 4], [2, 7], [4, 1], [9, 1], [18, 1]], 3491/716636160], [[[1, 4], [2, 7], [4, 1], [10, 1], [12, 2]], 1511/12740198400], [[[1, 4], [2, 7], [4, 1], [10, 1], [15, 1]], 1511/1327104000], [[[1, 4], [2, 7], [4, 1], [10, 1], [16, 1]], 11/1843200], [[[1, 4], [2, 7], [4, 1], [10, 1], [20, 1]], 1511/884736000], [[[1, 4], [2, 7], [4, 1], [10, 1], [24, 1]], 1511/1061683200], [[[1, 4], [2, 7], [4, 1], [10, 1], [30, 1]], 1511/1327104000], [[[1, 4], [2, 7], [4, 1], [10, 2], [12, 1]], 16523/5308416000], [[[1, 4], [2, 7], [4, 1], [12, 1], [15, 1]], 11/265420800], [[[1, 4], [2, 7], [4, 1], [12, 1], [16, 1]], 11/35389440], [[[1, 4], [2, 7], [4, 1], [12, 1], [20, 1]], 11/35389440], [[[1, 4], [2, 7], [4, 1], [12, 1], [24, 1]], 77/212336640], [[[1, 4], [2, 7], [4, 1], [12, 1], [30, 1]], 11/265420800], [[[1, 4], [2, 7], [4, 1], [14, 1], [18, 1]], 1439/278691840], [[[1, 4], [2, 7], [4, 2], [5, 1], [6, 3]], 3631/4299816960], [[[1, 4], [2, 7], [4, 2], [5, 1], [7, 1]], 253/309657600], [[[1, 4], [2, 7], [4, 2], [5, 1], [9, 1]], 163/265420800], [[[1, 4], [2, 7], [4, 2], [5, 1], [14, 1]], 1117/206438400], [[[1, 4], [2, 7], [4, 2], [5, 1], [18, 1]], 539/298598400], [[[1, 4], [2, 7], [4, 2], [5, 2], [6, 1]], 7429639/6879707136000], [[[1, 4], [2, 7], [4, 2], [6, 1], [8, 2]], 29926903/2201506283520], [[[1, 4], [2, 7], [4, 2], [6, 1], [10, 2]], 46631047/6879707136000], [[[1, 4], [2, 7], [4, 2], [6, 1], [12, 2]], 9981751/3302259425280], [[[1, 4], [2, 7], [4, 2], [6, 1], [15, 1]], 306823/343985356800], [[[1, 4], [2, 7], [4, 2], [6, 1], [16, 1]], 1/138240], [[[1, 4], [2, 7], [4, 2], [6, 1], [20, 1]], 1011847/229323571200], [[[1, 4], [2, 7], [4, 2], [6, 1], [24, 1]], 306823/275188285440], [[[1, 4], [2, 7], [4, 2], [6, 1], [30, 1]], 306823/343985356800], [[[1, 4], [2, 7], [4, 2], [6, 2], [7, 1]], 803/371589120], [[[1, 4], [2, 7], [4, 2], [6, 2], [9, 1]], 12803/8599633920], [[[1, 4], [2, 7], [4, 2], [6, 2], [14, 1]], 6593/1337720832], [[[1, 4], [2, 7], [4, 2], [6, 2], [18, 1]], 1672903/619173642240], [[[1, 4], [2, 7], [4, 2], [6, 3], [8, 1]], 1088101/275188285440], [[[1, 4], [2, 7], [4, 2], [6, 3], [10, 1]], 545399/171992678400], [[[1, 4], [2, 7], [4, 2], [6, 3], [12, 1]], 6096137/1981355655168], [[[1, 4], [2, 7], [4, 2], [7, 1], [8, 1]], 451/123863040], [[[1, 4], [2, 7], [4, 2], [7, 1], [10, 1]], 23/8847360], [[[1, 4], [2, 7], [4, 2], [7, 1], [12, 1]], 25327/23410114560], [[[1, 4], [2, 7], [4, 2], [8, 1], [9, 1]], 10171/3822059520], [[[1, 4], [2, 7], [4, 2], [8, 1], [14, 1]], 13159/495452160], [[[1, 4], [2, 7], [4, 2], [8, 1], [18, 1]], 32881/3822059520], [[[1, 4], [2, 7], [4, 2], [9, 1], [10, 1]], 179/95551488], [[[1, 4], [2, 7], [4, 2], [9, 1], [12, 1]], 4603/5643509760], [[[1, 4], [2, 7], [4, 2], [10, 1], [14, 1]], 2557/309657600], [[[1, 4], [2, 7], [4, 2], [10, 1], [18, 1]], 7979/2388787200], [[[1, 4], [2, 7], [4, 2], [12, 1], [14, 1]], 28607/4459069440], [[[1, 4], [2, 7], [4, 2], [12, 1], [18, 1]], 37811/17199267840], [[[1, 4], [2, 7], [4, 3], [5, 1], [6, 2]], 1135/764411904], [[[1, 4], [2, 7], [4, 3], [5, 1], [8, 1]], 4513/1415577600], [[[1, 4], [2, 7], [4, 3], [5, 1], [10, 1]], 1337/176947200], [[[1, 4], [2, 7], [4, 3], [5, 1], [12, 1]], 551/530841600], [[[1, 4], [2, 7], [4, 3], [6, 1], [7, 1]], 3539/2675441664], [[[1, 4], [2, 7], [4, 3], [6, 1], [9, 1]], 12463/12899450880], [[[1, 4], [2, 7], [4, 3], [6, 1], [14, 1]], 3037/743178240], [[[1, 4], [2, 7], [4, 3], [6, 1], [18, 1]], 5597/3057647616], [[[1, 4], [2, 7], [4, 3], [6, 2], [8, 1]], 258637/30576476160], [[[1, 4], [2, 7], [4, 3], [6, 2], [10, 1]], 22133/6370099200], [[[1, 4], [2, 7], [4, 3], [6, 2], [12, 1]], 32048857/6604518850560], [[[1, 4], [2, 7], [4, 3], [8, 1], [10, 1]], 15523/943718400], [[[1, 4], [2, 7], [4, 3], [8, 1], [12, 1]], 4072219/428070666240], [[[1, 4], [2, 7], [4, 3], [10, 1], [12, 1]], 11389/1592524800], [[[1, 4], [2, 7], [4, 4], [5, 1], [6, 1]], 34104611/34398535680000], [[[1, 4], [2, 7], [4, 4], [6, 1], [8, 1]], 217008533/22015062835200], [[[1, 4], [2, 7], [4, 4], [6, 1], [10, 1]], 14337901/6115295232000], [[[1, 4], [2, 7], [4, 4], [6, 1], [12, 1]], 642885337/132090377011200], [[[1, 4], [2, 7], [5, 1], [6, 1], [8, 2]], 53561/143327232000], [[[1, 4], [2, 7], [5, 1], [6, 1], [10, 2]], 3273473/447897600000], [[[1, 4], [2, 7], [5, 1], [6, 1], [12, 2]], 4961/214990848000], [[[1, 4], [2, 7], [5, 1], [6, 1], [15, 1]], 4961/22394880000], [[[1, 4], [2, 7], [5, 1], [6, 1], [20, 1]], 4961/14929920000], [[[1, 4], [2, 7], [5, 1], [6, 1], [24, 1]], 4961/17915904000], [[[1, 4], [2, 7], [5, 1], [6, 1], [30, 1]], 4961/22394880000], [[[1, 4], [2, 7], [5, 1], [6, 2], [7, 1]], 13/17418240], [[[1, 4], [2, 7], [5, 1], [6, 2], [9, 1]], 1/1866240], [[[1, 4], [2, 7], [5, 1], [6, 2], [14, 1]], 137/58060800], [[[1, 4], [2, 7], [5, 1], [6, 2], [18, 1]], 43421/40310784000], [[[1, 4], [2, 7], [5, 1], [6, 3], [8, 1]], 73/179159040], [[[1, 4], [2, 7], [5, 1], [6, 3], [10, 1]], 973/829440000], [[[1, 4], [2, 7], [5, 1], [6, 3], [12, 1]], 158801/214990848000], [[[1, 4], [2, 7], [5, 1], [7, 1], [8, 1]], 1/1720320], [[[1, 4], [2, 7], [5, 1], [7, 1], [10, 1]], 19/8064000], [[[1, 4], [2, 7], [5, 1], [8, 1], [9, 1]], 1/2211840], [[[1, 4], [2, 7], [5, 1], [8, 1], [14, 1]], 13/2580480], [[[1, 4], [2, 7], [5, 1], [8, 1], [18, 1]], 1/622080], [[[1, 4], [2, 7], [5, 1], [9, 1], [10, 1]], 1/576000], [[[1, 4], [2, 7], [5, 1], [10, 1], [14, 1]], 1261/80640000], [[[1, 4], [2, 7], [5, 1], [10, 1], [18, 1]], 179/34560000], [[[1, 4], [2, 7], [5, 2], [6, 1], [8, 1]], 5663/286654464000], [[[1, 4], [2, 7], [5, 2], [6, 1], [10, 1]], 54511/79626240000], [[[1, 4], [2, 7], [5, 2], [6, 1], [12, 1]], 52283/191102976000], [[[1, 4], [2, 7], [6, 1], [7, 1], [9, 1]], 1067/1881169920], [[[1, 4], [2, 7], [6, 1], [7, 1], [14, 1]], 5743/487710720], [[[1, 4], [2, 7], [6, 1], [7, 1], [18, 1]], 20399/17557585920], [[[1, 4], [2, 7], [6, 1], [8, 1], [10, 2]], 1840799/286654464000], [[[1, 4], [2, 7], [6, 1], [8, 1], [12, 2]], 5663/137594142720], [[[1, 4], [2, 7], [6, 1], [8, 1], [15, 1]], 5663/14332723200], [[[1, 4], [2, 7], [6, 1], [8, 1], [16, 1]], 17/8847360], [[[1, 4], [2, 7], [6, 1], [8, 1], [20, 1]], 5663/9555148800], [[[1, 4], [2, 7], [6, 1], [8, 1], [24, 1]], 5663/11466178560], [[[1, 4], [2, 7], [6, 1], [8, 1], [30, 1]], 5663/14332723200], [[[1, 4], [2, 7], [6, 1], [8, 2], [10, 1]], 106783/25480396800], [[[1, 4], [2, 7], [6, 1], [8, 2], [12, 1]], 70283/61152952320], [[[1, 4], [2, 7], [6, 1], [9, 1], [14, 1]], 3691/1881169920], [[[1, 4], [2, 7], [6, 1], [9, 1], [18, 1]], 51893/16930529280], [[[1, 4], [2, 7], [6, 1], [10, 1], [12, 2]], 2671/38220595200], [[[1, 4], [2, 7], [6, 1], [10, 1], [15, 1]], 2671/3981312000], [[[1, 4], [2, 7], [6, 1], [10, 1], [20, 1]], 2671/2654208000], [[[1, 4], [2, 7], [6, 1], [10, 1], [24, 1]], 2671/3185049600], [[[1, 4], [2, 7], [6, 1], [10, 1], [30, 1]], 2671/3981312000], [[[1, 4], [2, 7], [6, 1], [10, 2], [12, 1]], 418619/191102976000], [[[1, 4], [2, 7], [6, 1], [12, 1], [15, 1]], 443/9555148800], [[[1, 4], [2, 7], [6, 1], [12, 1], [20, 1]], 443/6370099200], [[[1, 4], [2, 7], [6, 1], [12, 1], [24, 1]], 443/7644119040], [[[1, 4], [2, 7], [6, 1], [12, 1], [30, 1]], 443/9555148800], [[[1, 4], [2, 7], [6, 1], [14, 1], [18, 1]], 1249/477757440], [[[1, 4], [2, 7], [6, 2], [7, 1], [8, 1]], 11/6531840], [[[1, 4], [2, 7], [6, 2], [7, 1], [10, 1]], 3643/1045094400], [[[1, 4], [2, 7], [6, 2], [7, 1], [12, 1]], 80459/93640458240], [[[1, 4], [2, 7], [6, 2], [8, 1], [9, 1]], 47/40310784], [[[1, 4], [2, 7], [6, 2], [8, 1], [14, 1]], 149/34836480], [[[1, 4], [2, 7], [6, 2], [8, 1], [18, 1]], 53087/25798901760], [[[1, 4], [2, 7], [6, 2], [9, 1], [10, 1]], 9043/4031078400], [[[1, 4], [2, 7], [6, 2], [9, 1], [12, 1]], 821/1410877440], [[[1, 4], [2, 7], [6, 2], [10, 1], [14, 1]], 19/3317760], [[[1, 4], [2, 7], [6, 2], [10, 1], [18, 1]], 7637/2388787200], [[[1, 4], [2, 7], [6, 2], [12, 1], [14, 1]], 34039/17836277760], [[[1, 4], [2, 7], [6, 2], [12, 1], [18, 1]], 20173/22932357120], [[[1, 4], [2, 7], [6, 3], [8, 1], [10, 1]], 5273/1791590400], [[[1, 4], [2, 7], [6, 3], [8, 1], [12, 1]], 195359/137594142720], [[[1, 4], [2, 7], [6, 3], [10, 1], [12, 1]], 27877/12740198400], [[[1, 4], [2, 7], [7, 1], [8, 1], [10, 1]], 109/25804800], [[[1, 4], [2, 7], [8, 1], [9, 1], [10, 1]], 293/99532800], [[[1, 4], [2, 7], [8, 1], [10, 1], [14, 1]], 67/6451200], [[[1, 4], [2, 7], [8, 1], [10, 1], [18, 1]], 113/24883200], [[[1, 4], [2, 9], [3, 1], [4, 1], [5, 2]], 1345009/160526499840000], [[[1, 4], [2, 9], [3, 1], [4, 1], [6, 4]], 23215980161/41608468758528000], [[[1, 4], [2, 9], [3, 1], [4, 1], [8, 2]], 8062207/51368479948800], [[[1, 4], [2, 9], [3, 1], [4, 1], [10, 2]], 73026433/160526499840000], [[[1, 4], [2, 9], [3, 1], [4, 1], [12, 2]], 36071/11007531417600], [[[1, 4], [2, 9], [3, 1], [4, 1], [15, 1]], 63361/8026324992000], [[[1, 4], [2, 9], [3, 1], [4, 1], [20, 1]], 63361/5350883328000], [[[1, 4], [2, 9], [3, 1], [4, 1], [24, 1]], 63361/6421059993600], [[[1, 4], [2, 9], [3, 1], [4, 1], [30, 1]], 63361/8026324992000], [[[1, 4], [2, 9], [3, 1], [4, 2], [6, 3]], 2039003291/2080423437926400], [[[1, 4], [2, 9], [3, 1], [4, 2], [7, 1]], 676051/11236854988800], [[[1, 4], [2, 9], [3, 1], [4, 2], [9, 1]], 80057507/1386948958617600], [[[1, 4], [2, 9], [3, 1], [4, 2], [14, 1]], 11997331/22473709977600], [[[1, 4], [2, 9], [3, 1], [4, 2], [18, 1]], 695453/4127824281600], [[[1, 4], [2, 9], [3, 1], [4, 3], [5, 1]], 207473/3057647616000], [[[1, 4], [2, 9], [3, 1], [4, 3], [6, 2]], 609978871/924632639078400], [[[1, 4], [2, 9], [3, 1], [4, 3], [8, 1]], 30368201/102736959897600], [[[1, 4], [2, 9], [3, 1], [4, 3], [10, 1]], 6564343/32105299968000], [[[1, 4], [2, 9], [3, 1], [4, 3], [12, 1]], 13829687/154105439846400], [[[1, 4], [2, 9], [3, 1], [4, 4], [6, 1]], 1760060431/9246326390784000], [[[1, 4], [2, 9], [3, 1], [5, 1], [6, 3]], 50830781/216710774784000], [[[1, 4], [2, 9], [3, 1], [5, 1], [7, 1]], 1381/780337152000], [[[1, 4], [2, 9], [3, 1], [5, 1], [9, 1]], 181561/90296156160000], [[[1, 4], [2, 9], [3, 1], [5, 1], [14, 1]], 125101/2341011456000], [[[1, 4], [2, 9], [3, 1], [5, 1], [18, 1]], 44381/3009871872000], [[[1, 4], [2, 9], [3, 1], [5, 2], [6, 1]], 1651621/120394874880000], [[[1, 4], [2, 9], [3, 1], [6, 1], [8, 2]], 1410403/5503765708800], [[[1, 4], [2, 9], [3, 1], [6, 1], [10, 2]], 175145893/120394874880000], [[[1, 4], [2, 9], [3, 1], [6, 1], [12, 2]], 514387/57789539942400], [[[1, 4], [2, 9], [3, 1], [6, 1], [15, 1]], 92581/6019743744000], [[[1, 4], [2, 9], [3, 1], [6, 1], [20, 1]], 92581/4013162496000], [[[1, 4], [2, 9], [3, 1], [6, 1], [24, 1]], 139381/4815794995200], [[[1, 4], [2, 9], [3, 1], [6, 1], [30, 1]], 92581/6019743744000], [[[1, 4], [2, 9], [3, 1], [6, 2], [7, 1]], 294017/1348422598656], [[[1, 4], [2, 9], [3, 1], [6, 2], [9, 1]], 349169/2063912140800], [[[1, 4], [2, 9], [3, 1], [6, 2], [14, 1]], 38256301/33710564966400], [[[1, 4], [2, 9], [3, 1], [6, 2], [18, 1]], 3526541/8668430991360], [[[1, 4], [2, 9], [3, 1], [6, 3], [8, 1]], 31860461/57789539942400], [[[1, 4], [2, 9], [3, 1], [6, 3], [10, 1]], 94866253/72236924928000], [[[1, 4], [2, 9], [3, 1], [6, 3], [12, 1]], 25353017/74300837068800], [[[1, 4], [2, 9], [3, 1], [7, 1], [8, 1]], 16621/1872809164800], [[[1, 4], [2, 9], [3, 1], [7, 1], [10, 1]], 1/19353600], [[[1, 4], [2, 9], [3, 1], [7, 1], [12, 1]], 2437/1123685498880], [[[1, 4], [2, 9], [3, 1], [8, 1], [9, 1]], 7531/825564856320], [[[1, 4], [2, 9], [3, 1], [8, 1], [14, 1]], 2479/15606743040], [[[1, 4], [2, 9], [3, 1], [8, 1], [18, 1]], 17/371589120], [[[1, 4], [2, 9], [3, 1], [9, 1], [10, 1]], 3079/66886041600], [[[1, 4], [2, 9], [3, 1], [9, 1], [12, 1]], 35827/21671077478400], [[[1, 4], [2, 9], [3, 1], [10, 1], [14, 1]], 31/77414400], [[[1, 4], [2, 9], [3, 1], [10, 1], [18, 1]], 29/223948800], [[[1, 4], [2, 9], [3, 1], [12, 1], [14, 1]], 140461/5618427494400], [[[1, 4], [2, 9], [3, 1], [12, 1], [18, 1]], 54701/7223692492800], [[[1, 4], [2, 9], [3, 2], [4, 1], [6, 3]], 1675020757/1386948958617600], [[[1, 4], [2, 9], [3, 2], [4, 1], [7, 1]], 19/2229534720], [[[1, 4], [2, 9], [3, 2], [4, 1], [9, 1]], 159121/14447384985600], [[[1, 4], [2, 9], [3, 2], [4, 1], [14, 1]], 101/557383680], [[[1, 4], [2, 9], [3, 2], [4, 1], [18, 1]], 221/4299816960], [[[1, 4], [2, 9], [3, 2], [4, 2], [5, 1]], 1074841/24078974976000], [[[1, 4], [2, 9], [3, 2], [4, 2], [6, 2]], 17146072271/19021014289612800], [[[1, 4], [2, 9], [3, 2], [4, 2], [8, 1]], 5099341/38526359961600], [[[1, 4], [2, 9], [3, 2], [4, 2], [10, 1]], 9017/57330892800], [[[1, 4], [2, 9], [3, 2], [4, 2], [12, 1]], 443833069/9510507144806400], [[[1, 4], [2, 9], [3, 2], [4, 3], [6, 1]], 201727/917294284800], [[[1, 4], [2, 9], [3, 2], [5, 1], [6, 2]], 29020133/107017666560000], [[[1, 4], [2, 9], [3, 2], [5, 1], [8, 1]], 16621/4013162496000], [[[1, 4], [2, 9], [3, 2], [5, 1], [10, 1]], 7/165888000], [[[1, 4], [2, 9], [3, 2], [5, 1], [12, 1]], 547111/481579499520000], [[[1, 4], [2, 9], [3, 2], [6, 1], [7, 1]], 922183/33710564966400], [[[1, 4], [2, 9], [3, 2], [6, 1], [9, 1]], 85679/2889476997120], [[[1, 4], [2, 9], [3, 2], [6, 1], [14, 1]], 821683/2022633897984], [[[1, 4], [2, 9], [3, 2], [6, 1], [18, 1]], 11665201/97519848652800], [[[1, 4], [2, 9], [3, 2], [6, 2], [8, 1]], 600123037/924632639078400], [[[1, 4], [2, 9], [3, 2], [6, 2], [10, 1]], 293786191/173368619827200], [[[1, 4], [2, 9], [3, 2], [6, 2], [12, 1]], 31445657/148601674137600], [[[1, 4], [2, 9], [3, 2], [8, 1], [10, 1]], 19/199065600], [[[1, 4], [2, 9], [3, 2], [8, 1], [12, 1]], 859037/154105439846400], [[[1, 4], [2, 9], [3, 2], [10, 1], [12, 1]], 10919/356725555200], [[[1, 4], [2, 9], [3, 3], [4, 1], [5, 1]], 1803541/433421549568000], [[[1, 4], [2, 9], [3, 3], [4, 1], [6, 2]], 2047416649/4160846875852800], [[[1, 4], [2, 9], [3, 3], [4, 1], [8, 1]], 10994887/693474479308800], [[[1, 4], [2, 9], [3, 3], [4, 1], [10, 1]], 20689933/433421549568000], [[[1, 4], [2, 9], [3, 3], [4, 1], [12, 1]], 2429479/416084687585280], [[[1, 4], [2, 9], [3, 3], [4, 2], [6, 1]], 297377939/2080423437926400], [[[1, 4], [2, 9], [3, 3], [5, 1], [6, 1]], 1019063/72236924928000], [[[1, 4], [2, 9], [3, 3], [6, 1], [8, 1]], 27493421/520105859481600], [[[1, 4], [2, 9], [3, 3], [6, 1], [10, 1]], 117281933/650132324352000], [[[1, 4], [2, 9], [3, 3], [6, 1], [12, 1]], 1432697/74300837068800], [[[1, 4], [2, 9], [3, 4], [4, 1], [6, 1]], 3784746661/124825406275584000], [[[1, 4], [2, 9], [4, 1], [5, 1], [6, 3]], 20347/120394874880], [[[1, 4], [2, 9], [4, 1], [5, 1], [7, 1]], 26701/1560674304000], [[[1, 4], [2, 9], [4, 1], [5, 1], [9, 1]], 79861/6019743744000], [[[1, 4], [2, 9], [4, 1], [5, 1], [14, 1]], 4663/13005619200], [[[1, 4], [2, 9], [4, 1], [5, 1], [18, 1]], 851/8360755200], [[[1, 4], [2, 9], [4, 1], [5, 2], [6, 1]], 10041221/481579499520000], [[[1, 4], [2, 9], [4, 1], [6, 1], [8, 2]], 10503737/22015062835200], [[[1, 4], [2, 9], [4, 1], [6, 1], [10, 2]], 735076613/481579499520000], [[[1, 4], [2, 9], [4, 1], [6, 1], [12, 2]], 3486341/231158159769600], [[[1, 4], [2, 9], [4, 1], [6, 1], [15, 1]], 928901/24078974976000], [[[1, 4], [2, 9], [4, 1], [6, 1], [16, 1]], 37/477757440], [[[1, 4], [2, 9], [4, 1], [6, 1], [20, 1]], 928901/16052649984000], [[[1, 4], [2, 9], [4, 1], [6, 1], [24, 1]], 928901/19263179980800], [[[1, 4], [2, 9], [4, 1], [6, 1], [30, 1]], 928901/24078974976000], [[[1, 4], [2, 9], [4, 1], [6, 2], [7, 1]], 1181/5016453120], [[[1, 4], [2, 9], [4, 1], [6, 2], [9, 1]], 2203/12899450880], [[[1, 4], [2, 9], [4, 1], [6, 2], [14, 1]], 4951/5016453120], [[[1, 4], [2, 9], [4, 1], [6, 2], [18, 1]], 5591927/14447384985600], [[[1, 4], [2, 9], [4, 1], [6, 3], [8, 1]], 247127891/462316319539200], [[[1, 4], [2, 9], [4, 1], [6, 3], [10, 1]], 7285/8026324992], [[[1, 4], [2, 9], [4, 1], [6, 3], [12, 1]], 82158341/231158159769600], [[[1, 4], [2, 9], [4, 1], [7, 1], [8, 1]], 42431/416179814400], [[[1, 4], [2, 9], [4, 1], [7, 1], [10, 1]], 517093/1560674304000], [[[1, 4], [2, 9], [4, 1], [7, 1], [12, 1]], 4021/936404582400], [[[1, 4], [2, 9], [4, 1], [8, 1], [9, 1]], 743527/9631589990400], [[[1, 4], [2, 9], [4, 1], [8, 1], [14, 1]], 4243231/4994157772800], [[[1, 4], [2, 9], [4, 1], [8, 1], [18, 1]], 1740371/6421059993600], [[[1, 4], [2, 9], [4, 1], [9, 1], [10, 1]], 1457293/6019743744000], [[[1, 4], [2, 9], [4, 1], [9, 1], [12, 1]], 11821/3611846246400], [[[1, 4], [2, 9], [4, 1], [10, 1], [14, 1]], 19783/13005619200], [[[1, 4], [2, 9], [4, 1], [10, 1], [18, 1]], 4603/8360755200], [[[1, 4], [2, 9], [4, 1], [12, 1], [14, 1]], 379/7803371520], [[[1, 4], [2, 9], [4, 1], [12, 1], [18, 1]], 37/2508226560], [[[1, 4], [2, 9], [4, 2], [5, 1], [6, 2]], 241027/859963392000], [[[1, 4], [2, 9], [4, 2], [5, 1], [8, 1]], 1331041/7134511104000], [[[1, 4], [2, 9], [4, 2], [5, 1], [10, 1]], 89171/185794560000], [[[1, 4], [2, 9], [4, 2], [5, 1], [12, 1]], 350273/17199267840000], [[[1, 4], [2, 9], [4, 2], [6, 1], [7, 1]], 761/4161798144], [[[1, 4], [2, 9], [4, 2], [6, 1], [9, 1]], 49669/361184624640], [[[1, 4], [2, 9], [4, 2], [6, 1], [14, 1]], 362617/321052999680], [[[1, 4], [2, 9], [4, 2], [6, 1], [18, 1]], 547818563/1386948958617600], [[[1, 4], [2, 9], [4, 2], [6, 2], [8, 1]], 63739/55037657088], [[[1, 4], [2, 9], [4, 2], [6, 2], [10, 1]], 891529/687970713600], [[[1, 4], [2, 9], [4, 2], [6, 2], [12, 1]], 12355645609/22191183337881600], [[[1, 4], [2, 9], [4, 2], [8, 1], [10, 1]], 10694773/7134511104000], [[[1, 4], [2, 9], [4, 2], [8, 1], [12, 1]], 611581/3852635996160], [[[1, 4], [2, 9], [4, 2], [10, 1], [12, 1]], 14783/38220595200], [[[1, 4], [2, 9], [4, 3], [5, 1], [6, 1]], 18989/114661785600], [[[1, 4], [2, 9], [4, 3], [6, 1], [8, 1]], 8971159/10273695989760], [[[1, 4], [2, 9], [4, 3], [6, 1], [10, 1]], 7057/10701766656], [[[1, 4], [2, 9], [4, 3], [6, 1], [12, 1]], 19894241/57789539942400], [[[1, 4], [2, 9], [5, 1], [6, 1], [7, 1]], 29/1045094400], [[[1, 4], [2, 9], [5, 1], [6, 1], [9, 1]], 19/895795200], [[[1, 4], [2, 9], [5, 1], [6, 1], [14, 1]], 307/1161216000], [[[1, 4], [2, 9], [5, 1], [6, 1], [18, 1]], 7514431/90296156160000], [[[1, 4], [2, 9], [5, 1], [6, 2], [8, 1]], 91/895795200], [[[1, 4], [2, 9], [5, 1], [6, 2], [10, 1]], 133/311040000], [[[1, 4], [2, 9], [5, 1], [6, 2], [12, 1]], 29878591/481579499520000], [[[1, 4], [2, 9], [5, 1], [8, 1], [10, 1]], 53/221184000], [[[1, 4], [2, 9], [6, 1], [7, 1], [8, 1]], 54727/624269721600], [[[1, 4], [2, 9], [6, 1], [7, 1], [10, 1]], 622493/2341011456000], [[[1, 4], [2, 9], [6, 1], [7, 1], [12, 1]], 19181/1872809164800], [[[1, 4], [2, 9], [6, 1], [8, 1], [9, 1]], 468221/7223692492800], [[[1, 4], [2, 9], [6, 1], [8, 1], [14, 1]], 23621/46820229120], [[[1, 4], [2, 9], [6, 1], [8, 1], [18, 1]], 5060621/28894769971200], [[[1, 4], [2, 9], [6, 1], [9, 1], [10, 1]], 1704653/9029615616000], [[[1, 4], [2, 9], [6, 1], [9, 1], [12, 1]], 54701/7223692492800], [[[1, 4], [2, 9], [6, 1], [10, 1], [14, 1]], 24709/26011238400], [[[1, 4], [2, 9], [6, 1], [10, 1], [18, 1]], 74863/200658124800], [[[1, 4], [2, 9], [6, 1], [12, 1], [14, 1]], 1231/20808990720], [[[1, 4], [2, 9], [6, 1], [12, 1], [18, 1]], 4877/240789749760], [[[1, 4], [2, 9], [6, 2], [8, 1], [10, 1]], 73013/100329062400], [[[1, 4], [2, 9], [6, 2], [8, 1], [12, 1]], 2863883/22015062835200], [[[1, 4], [2, 9], [6, 2], [10, 1], [12, 1]], 295261/1070176665600], [[[1, 4], [2, 11], [3, 1], [4, 1], [6, 3]], 1058231/14860167413760], [[[1, 4], [2, 11], [3, 1], [4, 1], [7, 1]], 1067/2809213747200], [[[1, 4], [2, 11], [3, 1], [4, 1], [9, 1]], 27919/69347447930880], [[[1, 4], [2, 11], [3, 1], [4, 1], [14, 1]], 2363/267544166400], [[[1, 4], [2, 11], [3, 1], [4, 1], [18, 1]], 7177/2889476997120], [[[1, 4], [2, 11], [3, 1], [4, 2], [5, 1]], 235373/128421199872000], [[[1, 4], [2, 11], [3, 1], [4, 2], [6, 2]], 24943673/396271131033600], [[[1, 4], [2, 11], [3, 1], [4, 2], [8, 1]], 5447039/616421759385600], [[[1, 4], [2, 11], [3, 1], [4, 2], [10, 1]], 4941917/192631799808000], [[[1, 4], [2, 11], [3, 1], [4, 2], [12, 1]], 95489/66045188505600], [[[1, 4], [2, 11], [3, 1], [4, 3], [6, 1]], 18918031/924632639078400], [[[1, 4], [2, 11], [3, 1], [5, 1], [6, 2]], 1089061/144473849856000], [[[1, 4], [2, 11], [3, 1], [5, 1], [8, 1]], 457/2675441664000], [[[1, 4], [2, 11], [3, 1], [5, 1], [10, 1]], 2039/1254113280000], [[[1, 4], [2, 11], [3, 1], [5, 1], [12, 1]], 61/2675441664000], [[[1, 4], [2, 11], [3, 1], [6, 1], [7, 1]], 2053/1685528248320], [[[1, 4], [2, 11], [3, 1], [6, 1], [9, 1]], 182009/173368619827200], [[[1, 4], [2, 11], [3, 1], [6, 1], [14, 1]], 148879/8427641241600], [[[1, 4], [2, 11], [3, 1], [6, 1], [18, 1]], 451277/86684309913600], [[[1, 4], [2, 11], [3, 1], [6, 2], [8, 1]], 13127/535088332800], [[[1, 4], [2, 11], [3, 1], [6, 2], [10, 1]], 3994349/48157949952000], [[[1, 4], [2, 11], [3, 1], [6, 2], [12, 1]], 1532987/277389791723520], [[[1, 4], [2, 11], [3, 1], [8, 1], [10, 1]], 3317/594542592000], [[[1, 4], [2, 11], [3, 1], [8, 1], [12, 1]], 1751/9631589990400], [[[1, 4], [2, 11], [3, 1], [10, 1], [12, 1]], 25231/24078974976000], [[[1, 4], [2, 11], [3, 2], [4, 1], [5, 1]], 989/5350883328000], [[[1, 4], [2, 11], [3, 2], [4, 1], [6, 2]], 55468747/1232843518771200], [[[1, 4], [2, 11], [3, 2], [4, 1], [8, 1]], 226937/231158159769600], [[[1, 4], [2, 11], [3, 2], [4, 1], [10, 1]], 58033/9631589990400], [[[1, 4], [2, 11], [3, 2], [4, 1], [12, 1]], 467203/1849265278156800], [[[1, 4], [2, 11], [3, 2], [4, 2], [6, 1]], 166394533/9510507144806400], [[[1, 4], [2, 11], [3, 2], [5, 1], [6, 1]], 164531/240789749760000], [[[1, 4], [2, 11], [3, 2], [6, 1], [8, 1]], 650191/231158159769600], [[[1, 4], [2, 11], [3, 2], [6, 1], [10, 1]], 2691889/173368619827200], [[[1, 4], [2, 11], [3, 2], [6, 1], [12, 1]], 6926593/8321693751705600], [[[1, 4], [2, 11], [3, 3], [4, 1], [6, 1]], 7271/2972033482752], [[[1, 4], [2, 11], [4, 1], [5, 1], [6, 2]], 33377/3210529996800], [[[1, 4], [2, 11], [4, 1], [5, 1], [8, 1]], 175523/107017666560000], [[[1, 4], [2, 11], [4, 1], [5, 1], [10, 1]], 13777/1114767360000], [[[1, 4], [2, 11], [4, 1], [5, 1], [12, 1]], 73/1605264998400], [[[1, 4], [2, 11], [4, 1], [6, 1], [7, 1]], 989/200658124800], [[[1, 4], [2, 11], [4, 1], [6, 1], [9, 1]], 10733/2889476997120], [[[1, 4], [2, 11], [4, 1], [6, 1], [14, 1]], 64657/1404606873600], [[[1, 4], [2, 11], [4, 1], [6, 1], [18, 1]], 334741/23115815976960], [[[1, 4], [2, 11], [4, 1], [6, 2], [8, 1]], 392887/10273695989760], [[[1, 4], [2, 11], [4, 1], [6, 2], [10, 1]], 1592093/16052649984000], [[[1, 4], [2, 11], [4, 1], [6, 2], [12, 1]], 8610241/616421759385600], [[[1, 4], [2, 11], [4, 1], [8, 1], [10, 1]], 1798687/42807066624000], [[[1, 4], [2, 11], [4, 1], [8, 1], [12, 1]], 373/856141332480], [[[1, 4], [2, 11], [4, 1], [10, 1], [12, 1]], 1831/891813888000], [[[1, 4], [2, 11], [4, 2], [5, 1], [6, 1]], 6261211/963158999040000], [[[1, 4], [2, 11], [4, 2], [6, 1], [8, 1]], 4692431/123284351877120], [[[1, 4], [2, 11], [4, 2], [6, 1], [10, 1]], 124747277/1541054398464000], [[[1, 4], [2, 11], [4, 2], [6, 1], [12, 1]], 17749781/1585084524134400], [[[1, 4], [2, 11], [5, 1], [6, 1], [8, 1]], 7409/3210529996800], [[[1, 4], [2, 11], [5, 1], [6, 1], [10, 1]], 4661/348364800000], [[[1, 4], [2, 11], [5, 1], [6, 1], [12, 1]], 32593/120394874880000], [[[1, 4], [2, 11], [6, 1], [8, 1], [10, 1]], 533951/16052649984000], [[[1, 4], [2, 11], [6, 1], [8, 1], [12, 1]], 39491/38526359961600], [[[1, 4], [2, 11], [6, 1], [10, 1], [12, 1]], 19463/5350883328000], [[[1, 4], [2, 13], [3, 1], [4, 1], [5, 1]], 9521/1284211998720000], [[[1, 4], [2, 13], [3, 1], [4, 1], [6, 2]], 34035797/23776267862016000], [[[1, 4], [2, 13], [3, 1], [4, 1], [8, 1]], 7291/176120502681600], [[[1, 4], [2, 13], [3, 1], [4, 1], [10, 1]], 552821/1926317998080000], [[[1, 4], [2, 13], [3, 1], [4, 1], [12, 1]], 63193/9246326390784000], [[[1, 4], [2, 13], [3, 1], [4, 2], [6, 1]], 118376339/166433875034112000], [[[1, 4], [2, 13], [3, 1], [5, 1], [6, 1]], 10477/541776936960000], [[[1, 4], [2, 13], [3, 1], [6, 1], [8, 1]], 51131/462316319539200], [[[1, 4], [2, 13], [3, 1], [6, 1], [10, 1]], 1969927/2889476997120000], [[[1, 4], [2, 13], [3, 1], [6, 1], [12, 1]], 304387/20804234379264000], [[[1, 4], [2, 13], [3, 2], [4, 1], [6, 1]], 180353/1386948958617600], [[[1, 4], [2, 13], [4, 1], [5, 1], [6, 1]], 167/1783627776000], [[[1, 4], [2, 13], [4, 1], [6, 1], [8, 1]], 9956647/18492652781568000], [[[1, 4], [2, 13], [4, 1], [6, 1], [10, 1]], 181213/80263249920000], [[[1, 4], [2, 13], [4, 1], [6, 1], [12, 1]], 15763/231158159769600], [[[1, 4], [2, 15], [3, 1], [4, 1], [6, 1]], 5182199/1165037125238784000], [[[1, 5], [2, 2], [3, 1], [4, 1], [6, 7]], 11/154793410560], [[[1, 5], [2, 2], [3, 1], [4, 2], [5, 3]], 3827/1327104000], [[[1, 5], [2, 2], [3, 1], [4, 2], [6, 6]], 1013/4953389137920], [[[1, 5], [2, 2], [3, 1], [4, 2], [7, 2]], 1/602112], [[[1, 5], [2, 2], [3, 1], [4, 2], [8, 3]], 3353/339738624], [[[1, 5], [2, 2], [3, 1], [4, 2], [9, 2]], 37/23887872], [[[1, 5], [2, 2], [3, 1], [4, 2], [10, 3]], 7/55296000], [[[1, 5], [2, 2], [3, 1], [4, 2], [12, 3]], 695953/68797071360], [[[1, 5], [2, 2], [3, 1], [4, 2], [14, 2]], 1/1806336], [[[1, 5], [2, 2], [3, 1], [4, 2], [18, 2]], 1/2985984], [[[1, 5], [2, 2], [3, 1], [4, 2], [28, 1]], 107/1935360], [[[1, 5], [2, 2], [3, 1], [4, 2], [36, 1]], 287/7464960], [[[1, 5], [2, 2], [3, 1], [4, 3], [6, 5]], 173/412782428160], [[[1, 5], [2, 2], [3, 1], [4, 4], [5, 2]], 542051/955514880000], [[[1, 5], [2, 2], [3, 1], [4, 4], [6, 4]], 36467/247669456896000], [[[1, 5], [2, 2], [3, 1], [4, 4], [8, 2]], 2468927/305764761600], [[[1, 5], [2, 2], [3, 1], [4, 4], [10, 2]], 277667/955514880000], [[[1, 5], [2, 2], [3, 1], [4, 4], [12, 2]], 4227347/458647142400], [[[1, 5], [2, 2], [3, 1], [4, 4], [15, 1]], 18467/47775744000], [[[1, 5], [2, 2], [3, 1], [4, 4], [16, 1]], 1/98304], [[[1, 5], [2, 2], [3, 1], [4, 4], [20, 1]], 108679/6370099200], [[[1, 5], [2, 2], [3, 1], [4, 4], [24, 1]], 18467/38220595200], [[[1, 5], [2, 2], [3, 1], [4, 4], [30, 1]], 18467/47775744000], [[[1, 5], [2, 2], [3, 1], [4, 5], [6, 3]], 31/45864714240], [[[1, 5], [2, 2], [3, 1], [4, 5], [7, 1]], 11/123863040], [[[1, 5], [2, 2], [3, 1], [4, 5], [9, 1]], 4111/76441190400], [[[1, 5], [2, 2], [3, 1], [4, 5], [14, 1]], 1/23592960], [[[1, 5], [2, 2], [3, 1], [4, 5], [18, 1]], 7/212336640], [[[1, 5], [2, 2], [3, 1], [4, 6], [5, 1]], 251/4076863488], [[[1, 5], [2, 2], [3, 1], [4, 6], [6, 2]], 413/163074539520], [[[1, 5], [2, 2], [3, 1], [4, 6], [8, 1]], 61421/81537269760], [[[1, 5], [2, 2], [3, 1], [4, 6], [10, 1]], 127/4246732800], [[[1, 5], [2, 2], [3, 1], [4, 6], [12, 1]], 8277601/11007531417600], [[[1, 5], [2, 2], [3, 1], [4, 7], [6, 1]], 209/285380444160], [[[1, 5], [2, 2], [3, 1], [5, 1], [6, 6]], 53/53747712000], [[[1, 5], [2, 2], [3, 1], [5, 1], [7, 2]], 1/31360], [[[1, 5], [2, 2], [3, 1], [5, 1], [8, 3]], 31/22118400], [[[1, 5], [2, 2], [3, 1], [5, 1], [9, 2]], 7/583200], [[[1, 5], [2, 2], [3, 1], [5, 1], [10, 3]], 1/5760000], [[[1, 5], [2, 2], [3, 1], [5, 1], [12, 3]], 29/49766400], [[[1, 5], [2, 2], [3, 1], [5, 1], [14, 2]], 1/188160], [[[1, 5], [2, 2], [3, 1], [5, 1], [18, 2]], 1/311040], [[[1, 5], [2, 2], [3, 1], [5, 2], [6, 4]], 23201/3224862720000], [[[1, 5], [2, 2], [3, 1], [5, 2], [8, 2]], 5381/3981312000], [[[1, 5], [2, 2], [3, 1], [5, 2], [10, 2]], 10301/12441600000], [[[1, 5], [2, 2], [3, 1], [5, 2], [12, 2]], 5201/5971968000], [[[1, 5], [2, 2], [3, 1], [5, 2], [15, 1]], 5201/622080000], [[[1, 5], [2, 2], [3, 1], [5, 2], [20, 1]], 5201/414720000], [[[1, 5], [2, 2], [3, 1], [5, 2], [24, 1]], 5201/497664000], [[[1, 5], [2, 2], [3, 1], [5, 2], [30, 1]], 5201/622080000], [[[1, 5], [2, 2], [3, 1], [5, 3], [6, 2]], 59/622080000], [[[1, 5], [2, 2], [3, 1], [5, 3], [8, 1]], 31/69120000], [[[1, 5], [2, 2], [3, 1], [5, 3], [10, 1]], 1/5760000], [[[1, 5], [2, 2], [3, 1], [5, 3], [12, 1]], 29/103680000], [[[1, 5], [2, 2], [3, 1], [6, 2], [7, 2]], 1/225792], [[[1, 5], [2, 2], [3, 1], [6, 2], [8, 3]], 29/63700992], [[[1, 5], [2, 2], [3, 1], [6, 2], [9, 2]], 1/839808], [[[1, 5], [2, 2], [3, 1], [6, 2], [10, 3]], 1/9216000], [[[1, 5], [2, 2], [3, 1], [6, 2], [12, 3]], 3017/2866544640], [[[1, 5], [2, 2], [3, 1], [6, 2], [14, 2]], 1/2709504], [[[1, 5], [2, 2], [3, 1], [6, 2], [18, 2]], 211/100776960], [[[1, 5], [2, 2], [3, 1], [6, 4], [8, 2]], 147797/1031956070400], [[[1, 5], [2, 2], [3, 1], [6, 4], [10, 2]], 277217/3224862720000], [[[1, 5], [2, 2], [3, 1], [6, 4], [12, 2]], 713807/1547934105600], [[[1, 5], [2, 2], [3, 1], [6, 4], [15, 1]], 18017/161243136000], [[[1, 5], [2, 2], [3, 1], [6, 4], [20, 1]], 18017/107495424000], [[[1, 5], [2, 2], [3, 1], [6, 4], [24, 1]], 18017/128994508800], [[[1, 5], [2, 2], [3, 1], [6, 4], [30, 1]], 18017/161243136000], [[[1, 5], [2, 2], [3, 1], [6, 5], [7, 1]], 89/1881169920], [[[1, 5], [2, 2], [3, 1], [6, 5], [9, 1]], 217/12899450880], [[[1, 5], [2, 2], [3, 1], [6, 5], [14, 1]], 11/1254113280], [[[1, 5], [2, 2], [3, 1], [6, 5], [18, 1]], 19997/290237644800], [[[1, 5], [2, 2], [3, 1], [6, 6], [8, 1]], 269/51597803520], [[[1, 5], [2, 2], [3, 1], [6, 6], [10, 1]], 89/21499084800], [[[1, 5], [2, 2], [3, 1], [6, 6], [12, 1]], 8819/515978035200], [[[1, 5], [2, 2], [3, 1], [7, 2], [8, 1]], 1/50176], [[[1, 5], [2, 2], [3, 1], [7, 2], [12, 1]], 1/37632], [[[1, 5], [2, 2], [3, 1], [8, 1], [9, 2]], 1/186624], [[[1, 5], [2, 2], [3, 1], [8, 1], [12, 3]], 5/15925248], [[[1, 5], [2, 2], [3, 1], [8, 2], [10, 2]], 197/3981312000], [[[1, 5], [2, 2], [3, 1], [8, 2], [12, 2]], 197/1911029760], [[[1, 5], [2, 2], [3, 1], [8, 2], [15, 1]], 197/199065600], [[[1, 5], [2, 2], [3, 1], [8, 2], [20, 1]], 197/132710400], [[[1, 5], [2, 2], [3, 1], [8, 2], [24, 1]], 247/53084160], [[[1, 5], [2, 2], [3, 1], [8, 2], [30, 1]], 197/199065600], [[[1, 5], [2, 2], [3, 1], [8, 3], [12, 1]], 5/10616832], [[[1, 5], [2, 2], [3, 1], [9, 2], [10, 1]], 1/933120], [[[1, 5], [2, 2], [3, 1], [9, 2], [12, 1]], 1/186624], [[[1, 5], [2, 2], [3, 1], [10, 1], [12, 3]], 1/6635520], [[[1, 5], [2, 2], [3, 1], [10, 2], [12, 2]], 17/5971968000], [[[1, 5], [2, 2], [3, 1], [10, 2], [15, 1]], 17/622080000], [[[1, 5], [2, 2], [3, 1], [10, 2], [20, 1]], 17/414720000], [[[1, 5], [2, 2], [3, 1], [10, 2], [24, 1]], 17/497664000], [[[1, 5], [2, 2], [3, 1], [10, 2], [30, 1]], 17/622080000], [[[1, 5], [2, 2], [3, 1], [10, 3], [12, 1]], 1/13824000], [[[1, 5], [2, 2], [3, 1], [12, 1], [14, 2]], 1/451584], [[[1, 5], [2, 2], [3, 1], [12, 1], [18, 2]], 1/746496], [[[1, 5], [2, 2], [3, 1], [12, 1], [36, 1]], 17/3732480], [[[1, 5], [2, 2], [3, 1], [12, 2], [15, 1]], 17/298598400], [[[1, 5], [2, 2], [3, 1], [12, 2], [20, 1]], 17/199065600], [[[1, 5], [2, 2], [3, 1], [12, 2], [24, 1]], 221/238878720], [[[1, 5], [2, 2], [3, 1], [12, 2], [30, 1]], 17/298598400], [[[1, 5], [2, 2], [3, 1], [15, 1], [20, 1]], 17/20736000], [[[1, 5], [2, 2], [3, 1], [15, 1], [24, 1]], 17/24883200], [[[1, 5], [2, 2], [3, 1], [15, 1], [30, 1]], 17/1944000], [[[1, 5], [2, 2], [3, 1], [20, 1], [24, 1]], 17/16588800], [[[1, 5], [2, 2], [3, 1], [20, 1], [30, 1]], 17/20736000], [[[1, 5], [2, 2], [3, 1], [24, 1], [30, 1]], 17/24883200], [[[1, 5], [2, 2], [3, 2], [4, 1], [5, 3]], 691/124416000], [[[1, 5], [2, 2], [3, 2], [4, 1], [6, 6]], 30901/8255648563200], [[[1, 5], [2, 2], [3, 2], [4, 1], [8, 3]], 19/7077888], [[[1, 5], [2, 2], [3, 2], [4, 1], [9, 2]], 167/59719680], [[[1, 5], [2, 2], [3, 2], [4, 1], [10, 3]], 7/124416000], [[[1, 5], [2, 2], [3, 2], [4, 1], [12, 3]], 299767/68797071360], [[[1, 5], [2, 2], [3, 2], [4, 1], [28, 1]], 1/41472], [[[1, 5], [2, 2], [3, 2], [4, 1], [36, 1]], 7/373248], [[[1, 5], [2, 2], [3, 2], [4, 2], [6, 5]], 5161/1857520926720], [[[1, 5], [2, 2], [3, 2], [4, 3], [5, 2]], 2437/2388787200], [[[1, 5], [2, 2], [3, 2], [4, 3], [6, 4]], 4831/619173642240], [[[1, 5], [2, 2], [3, 2], [4, 3], [8, 2]], 1585/764411904], [[[1, 5], [2, 2], [3, 2], [4, 3], [10, 2]], 61/2388787200], [[[1, 5], [2, 2], [3, 2], [4, 3], [12, 2]], 58513/11466178560], [[[1, 5], [2, 2], [3, 2], [4, 3], [15, 1]], 61/119439360], [[[1, 5], [2, 2], [3, 2], [4, 3], [16, 1]], 7/3981312], [[[1, 5], [2, 2], [3, 2], [4, 3], [20, 1]], 509/79626240], [[[1, 5], [2, 2], [3, 2], [4, 3], [24, 1]], 61/95551488], [[[1, 5], [2, 2], [3, 2], [4, 3], [30, 1]], 61/119439360], [[[1, 5], [2, 2], [3, 2], [4, 4], [6, 3]], 331985/5944066965504], [[[1, 5], [2, 2], [3, 2], [4, 4], [7, 1]], 101/3344302080], [[[1, 5], [2, 2], [3, 2], [4, 4], [9, 1]], 20387/85996339200], [[[1, 5], [2, 2], [3, 2], [4, 4], [14, 1]], 23/418037760], [[[1, 5], [2, 2], [3, 2], [4, 4], [18, 1]], 371/12899450880], [[[1, 5], [2, 2], [3, 2], [4, 5], [5, 1]], 583/9555148800], [[[1, 5], [2, 2], [3, 2], [4, 5], [6, 2]], 5717/815372697600], [[[1, 5], [2, 2], [3, 2], [4, 5], [8, 1]], 2083/15288238080], [[[1, 5], [2, 2], [3, 2], [4, 5], [10, 1]], 187/9555148800], [[[1, 5], [2, 2], [3, 2], [4, 5], [12, 1]], 1317079/3669177139200], [[[1, 5], [2, 2], [3, 2], [4, 6], [6, 1]], 44731/550376570880], [[[1, 5], [2, 2], [3, 2], [5, 1], [6, 5]], 1249/53747712000], [[[1, 5], [2, 2], [3, 2], [5, 2], [6, 3]], 2227/15479341056], [[[1, 5], [2, 2], [3, 2], [5, 2], [7, 1]], 659/43545600], [[[1, 5], [2, 2], [3, 2], [5, 2], [9, 1]], 13961/1119744000], [[[1, 5], [2, 2], [3, 2], [5, 2], [14, 1]], 109/10886400], [[[1, 5], [2, 2], [3, 2], [5, 2], [18, 1]], 1091/167961600], [[[1, 5], [2, 2], [3, 2], [5, 3], [6, 1]], 377/622080000], [[[1, 5], [2, 2], [3, 2], [6, 1], [7, 2]], 5/1354752], [[[1, 5], [2, 2], [3, 2], [6, 1], [8, 3]], 209/382205952], [[[1, 5], [2, 2], [3, 2], [6, 1], [9, 2]], 143/26873856], [[[1, 5], [2, 2], [3, 2], [6, 1], [10, 3]], 1/23328000], [[[1, 5], [2, 2], [3, 2], [6, 1], [12, 3]], 15907/3439853568], [[[1, 5], [2, 2], [3, 2], [6, 1], [18, 2]], 11/15116544], [[[1, 5], [2, 2], [3, 2], [6, 3], [8, 2]], 116371/123834728448], [[[1, 5], [2, 2], [3, 2], [6, 3], [10, 2]], 4223/77396705280], [[[1, 5], [2, 2], [3, 2], [6, 3], [12, 2]], 351181/185752092672], [[[1, 5], [2, 2], [3, 2], [6, 3], [15, 1]], 4223/3869835264], [[[1, 5], [2, 2], [3, 2], [6, 3], [20, 1]], 4223/2579890176], [[[1, 5], [2, 2], [3, 2], [6, 3], [24, 1]], 54163/15479341056], [[[1, 5], [2, 2], [3, 2], [6, 3], [30, 1]], 4223/3869835264], [[[1, 5], [2, 2], [3, 2], [6, 4], [7, 1]], 457/1410877440], [[[1, 5], [2, 2], [3, 2], [6, 4], [9, 1]], 55037/290237644800], [[[1, 5], [2, 2], [3, 2], [6, 4], [14, 1]], 271/2821754880], [[[1, 5], [2, 2], [3, 2], [6, 4], [18, 1]], 117499/174142586880], [[[1, 5], [2, 2], [3, 2], [6, 5], [8, 1]], 16859/309586821120], [[[1, 5], [2, 2], [3, 2], [6, 5], [10, 1]], 271/6046617600], [[[1, 5], [2, 2], [3, 2], [6, 5], [12, 1]], 329969/1857520926720], [[[1, 5], [2, 2], [3, 2], [7, 1], [8, 2]], 65/13934592], [[[1, 5], [2, 2], [3, 2], [7, 1], [10, 2]], 11/43545600], [[[1, 5], [2, 2], [3, 2], [7, 1], [12, 2]], 209/20901888], [[[1, 5], [2, 2], [3, 2], [7, 1], [15, 1]], 11/2177280], [[[1, 5], [2, 2], [3, 2], [7, 1], [20, 1]], 11/1451520], [[[1, 5], [2, 2], [3, 2], [7, 1], [24, 1]], 11/1741824], [[[1, 5], [2, 2], [3, 2], [7, 1], [30, 1]], 11/2177280], [[[1, 5], [2, 2], [3, 2], [8, 2], [9, 1]], 677/358318080], [[[1, 5], [2, 2], [3, 2], [8, 2], [14, 1]], 1/3483648], [[[1, 5], [2, 2], [3, 2], [8, 2], [18, 1]], 11/53747712], [[[1, 5], [2, 2], [3, 2], [9, 1], [10, 2]], 137/1119744000], [[[1, 5], [2, 2], [3, 2], [9, 1], [12, 2]], 2297/537477120], [[[1, 5], [2, 2], [3, 2], [9, 1], [15, 1]], 137/55987200], [[[1, 5], [2, 2], [3, 2], [9, 1], [20, 1]], 137/37324800], [[[1, 5], [2, 2], [3, 2], [9, 1], [24, 1]], 137/44789760], [[[1, 5], [2, 2], [3, 2], [9, 1], [30, 1]], 137/55987200], [[[1, 5], [2, 2], [3, 2], [10, 2], [14, 1]], 1/10886400], [[[1, 5], [2, 2], [3, 2], [10, 2], [18, 1]], 11/167961600], [[[1, 5], [2, 2], [3, 2], [12, 2], [14, 1]], 19/5225472], [[[1, 5], [2, 2], [3, 2], [12, 2], [18, 1]], 209/80621568], [[[1, 5], [2, 2], [3, 2], [14, 1], [15, 1]], 1/544320], [[[1, 5], [2, 2], [3, 2], [14, 1], [20, 1]], 1/362880], [[[1, 5], [2, 2], [3, 2], [14, 1], [24, 1]], 1/435456], [[[1, 5], [2, 2], [3, 2], [14, 1], [30, 1]], 1/544320], [[[1, 5], [2, 2], [3, 2], [15, 1], [18, 1]], 11/8398080], [[[1, 5], [2, 2], [3, 2], [18, 1], [20, 1]], 11/5598720], [[[1, 5], [2, 2], [3, 2], [18, 1], [24, 1]], 11/6718464], [[[1, 5], [2, 2], [3, 2], [18, 1], [30, 1]], 11/8398080], [[[1, 5], [2, 2], [3, 3], [4, 1], [6, 5]], 54529/1393140695040], [[[1, 5], [2, 2], [3, 3], [4, 2], [5, 2]], 22439/57330892800], [[[1, 5], [2, 2], [3, 3], [4, 2], [6, 4]], 18582221/14860167413760], [[[1, 5], [2, 2], [3, 3], [4, 2], [8, 2]], 15851/18345885696], [[[1, 5], [2, 2], [3, 3], [4, 2], [10, 2]], 1703/57330892800], [[[1, 5], [2, 2], [3, 3], [4, 2], [12, 2]], 235429/137594142720], [[[1, 5], [2, 2], [3, 3], [4, 2], [15, 1]], 551/2866544640], [[[1, 5], [2, 2], [3, 3], [4, 2], [16, 1]], 1/1990656], [[[1, 5], [2, 2], [3, 3], [4, 2], [20, 1]], 1319/1911029760], [[[1, 5], [2, 2], [3, 3], [4, 2], [24, 1]], 551/2293235712], [[[1, 5], [2, 2], [3, 3], [4, 2], [30, 1]], 551/2866544640], [[[1, 5], [2, 2], [3, 3], [4, 3], [6, 3]], 17095/123834728448], [[[1, 5], [2, 2], [3, 3], [4, 3], [7, 1]], 5/334430208], [[[1, 5], [2, 2], [3, 3], [4, 3], [9, 1]], 373/1289945088], [[[1, 5], [2, 2], [3, 3], [4, 3], [14, 1]], 1/334430208], [[[1, 5], [2, 2], [3, 3], [4, 3], [18, 1]], 1/429981696], [[[1, 5], [2, 2], [3, 3], [4, 4], [5, 1]], 6989/429981696000], [[[1, 5], [2, 2], [3, 3], [4, 4], [6, 2]], 13213441/8255648563200], [[[1, 5], [2, 2], [3, 3], [4, 4], [8, 1]], 9269/137594142720], [[[1, 5], [2, 2], [3, 3], [4, 4], [10, 1]], 121/57330892800], [[[1, 5], [2, 2], [3, 3], [4, 4], [12, 1]], 231841/1375941427200], [[[1, 5], [2, 2], [3, 3], [4, 5], [6, 1]], 6199/412782428160], [[[1, 5], [2, 2], [3, 3], [5, 1], [6, 4]], 242879/1451188224000], [[[1, 5], [2, 2], [3, 3], [5, 1], [8, 2]], 3929/1791590400], [[[1, 5], [2, 2], [3, 3], [5, 1], [10, 2]], 689/5598720000], [[[1, 5], [2, 2], [3, 3], [5, 1], [12, 2]], 2827/537477120], [[[1, 5], [2, 2], [3, 3], [5, 1], [15, 1]], 689/279936000], [[[1, 5], [2, 2], [3, 3], [5, 1], [20, 1]], 689/186624000], [[[1, 5], [2, 2], [3, 3], [5, 1], [24, 1]], 689/223948800], [[[1, 5], [2, 2], [3, 3], [5, 1], [30, 1]], 689/279936000], [[[1, 5], [2, 2], [3, 3], [5, 2], [6, 2]], 122923/107495424000], [[[1, 5], [2, 2], [3, 3], [5, 2], [8, 1]], 1573/358318080], [[[1, 5], [2, 2], [3, 3], [5, 2], [10, 1]], 1/746496000], [[[1, 5], [2, 2], [3, 3], [5, 2], [12, 1]], 40241/5971968000], [[[1, 5], [2, 2], [3, 3], [6, 2], [8, 2]], 9031/34398535680], [[[1, 5], [2, 2], [3, 3], [6, 2], [10, 2]], 4651/107495424000], [[[1, 5], [2, 2], [3, 3], [6, 2], [12, 2]], 74701/51597803520], [[[1, 5], [2, 2], [3, 3], [6, 2], [15, 1]], 3691/5374771200], [[[1, 5], [2, 2], [3, 3], [6, 2], [20, 1]], 3691/3583180800], [[[1, 5], [2, 2], [3, 3], [6, 2], [24, 1]], 7363/4299816960], [[[1, 5], [2, 2], [3, 3], [6, 2], [30, 1]], 3691/5374771200], [[[1, 5], [2, 2], [3, 3], [6, 3], [7, 1]], 3329/1693052928], [[[1, 5], [2, 2], [3, 3], [6, 3], [9, 1]], 124433/104485552128], [[[1, 5], [2, 2], [3, 3], [6, 3], [14, 1]], 163/1128701952], [[[1, 5], [2, 2], [3, 3], [6, 3], [18, 1]], 14333/29023764480], [[[1, 5], [2, 2], [3, 3], [6, 4], [8, 1]], 65939/464380231680], [[[1, 5], [2, 2], [3, 3], [6, 4], [10, 1]], 19/265420800], [[[1, 5], [2, 2], [3, 3], [6, 4], [12, 1]], 407227/1547934105600], [[[1, 5], [2, 2], [3, 3], [7, 1], [9, 1]], 11/3359232], [[[1, 5], [2, 2], [3, 3], [7, 1], [14, 1]], 5/3048192], [[[1, 5], [2, 2], [3, 3], [7, 1], [18, 1]], 1/2939328], [[[1, 5], [2, 2], [3, 3], [8, 1], [10, 2]], 89/1791590400], [[[1, 5], [2, 2], [3, 3], [8, 1], [12, 2]], 1871/859963392], [[[1, 5], [2, 2], [3, 3], [8, 1], [15, 1]], 89/89579520], [[[1, 5], [2, 2], [3, 3], [8, 1], [16, 1]], 1/3981312], [[[1, 5], [2, 2], [3, 3], [8, 1], [20, 1]], 89/59719680], [[[1, 5], [2, 2], [3, 3], [8, 1], [24, 1]], 89/71663616], [[[1, 5], [2, 2], [3, 3], [8, 1], [30, 1]], 89/89579520], [[[1, 5], [2, 2], [3, 3], [8, 2], [10, 1]], 1/238878720], [[[1, 5], [2, 2], [3, 3], [8, 2], [12, 1]], 2117/1911029760], [[[1, 5], [2, 2], [3, 3], [9, 1], [14, 1]], 1/839808], [[[1, 5], [2, 2], [3, 3], [9, 1], [18, 1]], 13/11337408], [[[1, 5], [2, 2], [3, 3], [10, 1], [12, 2]], 11/71663616], [[[1, 5], [2, 2], [3, 3], [10, 1], [15, 1]], 1/37324800], [[[1, 5], [2, 2], [3, 3], [10, 1], [20, 1]], 1/24883200], [[[1, 5], [2, 2], [3, 3], [10, 1], [24, 1]], 1/29859840], [[[1, 5], [2, 2], [3, 3], [10, 1], [30, 1]], 1/37324800], [[[1, 5], [2, 2], [3, 3], [10, 2], [12, 1]], 497/5971968000], [[[1, 5], [2, 2], [3, 3], [12, 1], [15, 1]], 497/298598400], [[[1, 5], [2, 2], [3, 3], [12, 1], [20, 1]], 497/199065600], [[[1, 5], [2, 2], [3, 3], [12, 1], [24, 1]], 497/238878720], [[[1, 5], [2, 2], [3, 3], [12, 1], [30, 1]], 497/298598400], [[[1, 5], [2, 2], [3, 3], [14, 1], [18, 1]], 1/15676416], [[[1, 5], [2, 2], [3, 4], [4, 1], [5, 2]], 131911/955514880000], [[[1, 5], [2, 2], [3, 4], [4, 1], [6, 4]], 550193231/743008370688000], [[[1, 5], [2, 2], [3, 4], [4, 1], [8, 2]], 48347/305764761600], [[[1, 5], [2, 2], [3, 4], [4, 1], [10, 2]], 1069/318504960000], [[[1, 5], [2, 2], [3, 4], [4, 1], [12, 2]], 981691/1375941427200], [[[1, 5], [2, 2], [3, 4], [4, 1], [15, 1]], 1069/15925248000], [[[1, 5], [2, 2], [3, 4], [4, 1], [20, 1]], 1069/10616832000], [[[1, 5], [2, 2], [3, 4], [4, 1], [24, 1]], 1069/12740198400], [[[1, 5], [2, 2], [3, 4], [4, 1], [30, 1]], 1069/15925248000], [[[1, 5], [2, 2], [3, 4], [4, 2], [6, 3]], 683075/1114512556032], [[[1, 5], [2, 2], [3, 4], [4, 2], [7, 1]], 4667/160526499840], [[[1, 5], [2, 2], [3, 4], [4, 2], [9, 1]], 8437/68797071360], [[[1, 5], [2, 2], [3, 4], [4, 2], [14, 1]], 1607/80263249920], [[[1, 5], [2, 2], [3, 4], [4, 2], [18, 1]], 209/15479341056], [[[1, 5], [2, 2], [3, 4], [4, 3], [5, 1]], 20909/1146617856000], [[[1, 5], [2, 2], [3, 4], [4, 3], [6, 2]], 1061/20639121408], [[[1, 5], [2, 2], [3, 4], [4, 3], [8, 1]], 29753/733835427840], [[[1, 5], [2, 2], [3, 4], [4, 3], [10, 1]], 2573/229323571200], [[[1, 5], [2, 2], [3, 4], [4, 3], [12, 1]], 71507/687970713600], [[[1, 5], [2, 2], [3, 4], [4, 4], [6, 1]], 959791/99067782758400], [[[1, 5], [2, 2], [3, 4], [5, 1], [6, 3]], 1345387/1451188224000], [[[1, 5], [2, 2], [3, 4], [5, 1], [7, 1]], 403/870912000], [[[1, 5], [2, 2], [3, 4], [5, 1], [9, 1]], 10663/6718464000], [[[1, 5], [2, 2], [3, 4], [5, 1], [14, 1]], 67/290304000], [[[1, 5], [2, 2], [3, 4], [5, 1], [18, 1]], 3217/20155392000], [[[1, 5], [2, 2], [3, 4], [5, 2], [6, 1]], 1055041/1289945088000], [[[1, 5], [2, 2], [3, 4], [6, 1], [8, 2]], 52873/412782428160], [[[1, 5], [2, 2], [3, 4], [6, 1], [10, 2]], 18241/1289945088000], [[[1, 5], [2, 2], [3, 4], [6, 1], [12, 2]], 751951/619173642240], [[[1, 5], [2, 2], [3, 4], [6, 1], [15, 1]], 18241/64497254400], [[[1, 5], [2, 2], [3, 4], [6, 1], [20, 1]], 18241/42998169600], [[[1, 5], [2, 2], [3, 4], [6, 1], [24, 1]], 29761/51597803520], [[[1, 5], [2, 2], [3, 4], [6, 1], [30, 1]], 18241/64497254400], [[[1, 5], [2, 2], [3, 4], [6, 2], [7, 1]], 1913/7524679680], [[[1, 5], [2, 2], [3, 4], [6, 2], [9, 1]], 702121/4837294080], [[[1, 5], [2, 2], [3, 4], [6, 2], [14, 1]], 5/94058496], [[[1, 5], [2, 2], [3, 4], [6, 2], [18, 1]], 940667/38698352640], [[[1, 5], [2, 2], [3, 4], [6, 3], [8, 1]], 35291/309586821120], [[[1, 5], [2, 2], [3, 4], [6, 3], [10, 1]], 1/40310784], [[[1, 5], [2, 2], [3, 4], [6, 3], [12, 1]], 3399539/5572562780160], [[[1, 5], [2, 2], [3, 4], [7, 1], [8, 1]], 101/418037760], [[[1, 5], [2, 2], [3, 4], [7, 1], [10, 1]], 1/696729600], [[[1, 5], [2, 2], [3, 4], [7, 1], [12, 1]], 55/62705664], [[[1, 5], [2, 2], [3, 4], [8, 1], [9, 1]], 275/429981696], [[[1, 5], [2, 2], [3, 4], [8, 1], [14, 1]], 23/477757440], [[[1, 5], [2, 2], [3, 4], [8, 1], [18, 1]], 161/4299816960], [[[1, 5], [2, 2], [3, 4], [9, 1], [10, 1]], 41/2687385600], [[[1, 5], [2, 2], [3, 4], [9, 1], [12, 1]], 697/537477120], [[[1, 5], [2, 2], [3, 4], [12, 1], [14, 1]], 5/15676416], [[[1, 5], [2, 2], [3, 4], [12, 1], [18, 1]], 55/241864704], [[[1, 5], [2, 2], [3, 5], [4, 1], [6, 3]], 44041/154793410560], [[[1, 5], [2, 2], [3, 5], [4, 1], [7, 1]], 1/418037760], [[[1, 5], [2, 2], [3, 5], [4, 1], [9, 1]], 3287/85996339200], [[[1, 5], [2, 2], [3, 5], [4, 1], [14, 1]], 1/1672151040], [[[1, 5], [2, 2], [3, 5], [4, 1], [18, 1]], 1/2149908480], [[[1, 5], [2, 2], [3, 5], [4, 2], [5, 1]], 539/38220595200], [[[1, 5], [2, 2], [3, 5], [4, 2], [6, 2]], 212141/1651129712640], [[[1, 5], [2, 2], [3, 5], [4, 2], [8, 1]], 341/30576476160], [[[1, 5], [2, 2], [3, 5], [4, 2], [10, 1]], 7/14332723200], [[[1, 5], [2, 2], [3, 5], [4, 2], [12, 1]], 557929/12383472844800], [[[1, 5], [2, 2], [3, 5], [4, 3], [6, 1]], 911/137594142720], [[[1, 5], [2, 2], [3, 5], [5, 1], [6, 2]], 2161/17915904000], [[[1, 5], [2, 2], [3, 5], [5, 1], [8, 1]], 677/5971968000], [[[1, 5], [2, 2], [3, 5], [5, 1], [10, 1]], 1/1492992000], [[[1, 5], [2, 2], [3, 5], [5, 1], [12, 1]], 3773/8957952000], [[[1, 5], [2, 2], [3, 5], [6, 1], [7, 1]], 89/1881169920], [[[1, 5], [2, 2], [3, 5], [6, 1], [9, 1]], 753227/38698352640], [[[1, 5], [2, 2], [3, 5], [6, 1], [14, 1]], 11/1254113280], [[[1, 5], [2, 2], [3, 5], [6, 1], [18, 1]], 6797/290237644800], [[[1, 5], [2, 2], [3, 5], [6, 2], [8, 1]], 191/5733089280], [[[1, 5], [2, 2], [3, 5], [6, 2], [10, 1]], 11/2388787200], [[[1, 5], [2, 2], [3, 5], [6, 2], [12, 1]], 227987/1547934105600], [[[1, 5], [2, 2], [3, 5], [8, 1], [12, 1]], 97/573308928], [[[1, 5], [2, 2], [3, 5], [10, 1], [12, 1]], 11/3583180800], [[[1, 5], [2, 2], [3, 6], [4, 1], [5, 1]], 199/96745881600], [[[1, 5], [2, 2], [3, 6], [4, 1], [6, 2]], 12967/2751882854400], [[[1, 5], [2, 2], [3, 6], [4, 1], [8, 1]], 613/154793410560], [[[1, 5], [2, 2], [3, 6], [4, 1], [10, 1]], 91/96745881600], [[[1, 5], [2, 2], [3, 6], [4, 1], [12, 1]], 343927/37150418534400], [[[1, 5], [2, 2], [3, 6], [4, 2], [6, 1]], 11833/5572562780160], [[[1, 5], [2, 2], [3, 6], [5, 1], [6, 1]], 3577/161243136000], [[[1, 5], [2, 2], [3, 6], [6, 1], [8, 1]], 5507/928760463360], [[[1, 5], [2, 2], [3, 6], [6, 1], [10, 1]], 13/18139852800], [[[1, 5], [2, 2], [3, 6], [6, 1], [12, 1]], 239017/5572562780160], [[[1, 5], [2, 2], [3, 7], [4, 1], [6, 1]], 91/154793410560], [[[1, 5], [2, 2], [4, 1], [5, 1], [7, 2]], 3/125440], [[[1, 5], [2, 2], [4, 1], [5, 1], [8, 3]], 161/29491200], [[[1, 5], [2, 2], [4, 1], [5, 1], [9, 2]], 7/1866240], [[[1, 5], [2, 2], [4, 1], [5, 1], [10, 3]], 11/57600000], [[[1, 5], [2, 2], [4, 1], [5, 1], [12, 3]], 77/49766400], [[[1, 5], [2, 2], [4, 1], [5, 1], [28, 1]], 11/134400], [[[1, 5], [2, 2], [4, 1], [5, 1], [36, 1]], 11/172800], [[[1, 5], [2, 2], [4, 1], [5, 2], [6, 4]], 3733/2866544640000], [[[1, 5], [2, 2], [4, 1], [5, 2], [8, 2]], 1051/1179648000], [[[1, 5], [2, 2], [4, 1], [5, 2], [10, 2]], 937/1228800000], [[[1, 5], [2, 2], [4, 1], [5, 2], [12, 2]], 79/196608000], [[[1, 5], [2, 2], [4, 1], [5, 2], [15, 1]], 79/20480000], [[[1, 5], [2, 2], [4, 1], [5, 2], [20, 1]], 237/40960000], [[[1, 5], [2, 2], [4, 1], [5, 2], [24, 1]], 79/16384000], [[[1, 5], [2, 2], [4, 1], [5, 2], [30, 1]], 79/20480000], [[[1, 5], [2, 2], [4, 1], [5, 3], [8, 1]], 73/92160000], [[[1, 5], [2, 2], [4, 1], [5, 3], [10, 1]], 11/57600000], [[[1, 5], [2, 2], [4, 1], [5, 3], [12, 1]], 11/34560000], [[[1, 5], [2, 2], [4, 1], [6, 2], [8, 3]], 43/42467328], [[[1, 5], [2, 2], [4, 1], [6, 2], [10, 3]], 1/41472000], [[[1, 5], [2, 2], [4, 1], [6, 2], [12, 3]], 181/2548039680], [[[1, 5], [2, 2], [4, 1], [6, 2], [18, 2]], 101/179159040], [[[1, 5], [2, 2], [4, 1], [6, 4], [8, 2]], 31441/917294284800], [[[1, 5], [2, 2], [4, 1], [6, 4], [10, 2]], 1621/2866544640000], [[[1, 5], [2, 2], [4, 1], [6, 4], [12, 2]], 93691/1375941427200], [[[1, 5], [2, 2], [4, 1], [6, 4], [15, 1]], 1621/143327232000], [[[1, 5], [2, 2], [4, 1], [6, 4], [20, 1]], 1621/95551488000], [[[1, 5], [2, 2], [4, 1], [6, 4], [24, 1]], 1621/114661785600], [[[1, 5], [2, 2], [4, 1], [6, 4], [30, 1]], 1621/143327232000], [[[1, 5], [2, 2], [4, 1], [6, 5], [7, 1]], 1/627056640], [[[1, 5], [2, 2], [4, 1], [6, 5], [9, 1]], 1/1934917632], [[[1, 5], [2, 2], [4, 1], [6, 5], [14, 1]], 1/5016453120], [[[1, 5], [2, 2], [4, 1], [6, 5], [18, 1]], 1661/257989017600], [[[1, 5], [2, 2], [4, 1], [6, 6], [8, 1]], 17/34398535680], [[[1, 5], [2, 2], [4, 1], [6, 6], [10, 1]], 1/10749542400], [[[1, 5], [2, 2], [4, 1], [6, 6], [12, 1]], 1781/1375941427200], [[[1, 5], [2, 2], [4, 1], [7, 2], [8, 1]], 17/200704], [[[1, 5], [2, 2], [4, 1], [7, 2], [10, 1]], 3/125440], [[[1, 5], [2, 2], [4, 1], [7, 2], [12, 1]], 1/25088], [[[1, 5], [2, 2], [4, 1], [8, 1], [9, 2]], 43/2985984], [[[1, 5], [2, 2], [4, 1], [8, 1], [10, 3]], 1/7372800], [[[1, 5], [2, 2], [4, 1], [8, 1], [12, 3]], 7/15925248], [[[1, 5], [2, 2], [4, 1], [8, 1], [14, 2]], 1/401408], [[[1, 5], [2, 2], [4, 1], [8, 1], [18, 2]], 1/663552], [[[1, 5], [2, 2], [4, 1], [8, 1], [28, 1]], 1/43008], [[[1, 5], [2, 2], [4, 1], [8, 1], [36, 1]], 1/55296], [[[1, 5], [2, 2], [4, 1], [8, 2], [10, 2]], 347/1179648000], [[[1, 5], [2, 2], [4, 1], [8, 2], [12, 2]], 347/566231040], [[[1, 5], [2, 2], [4, 1], [8, 2], [15, 1]], 347/58982400], [[[1, 5], [2, 2], [4, 1], [8, 2], [16, 1]], 13/196608], [[[1, 5], [2, 2], [4, 1], [8, 2], [20, 1]], 329/13107200], [[[1, 5], [2, 2], [4, 1], [8, 2], [24, 1]], 617/15728640], [[[1, 5], [2, 2], [4, 1], [8, 2], [30, 1]], 347/58982400], [[[1, 5], [2, 2], [4, 1], [8, 3], [10, 1]], 1/2359296], [[[1, 5], [2, 2], [4, 1], [8, 3], [12, 1]], 1/3538944], [[[1, 5], [2, 2], [4, 1], [9, 2], [10, 1]], 7/1866240], [[[1, 5], [2, 2], [4, 1], [9, 2], [12, 1]], 7/1119744], [[[1, 5], [2, 2], [4, 1], [10, 2], [12, 2]], 7/1769472000], [[[1, 5], [2, 2], [4, 1], [10, 2], [15, 1]], 7/184320000], [[[1, 5], [2, 2], [4, 1], [10, 2], [20, 1]], 7/122880000], [[[1, 5], [2, 2], [4, 1], [10, 2], [24, 1]], 7/147456000], [[[1, 5], [2, 2], [4, 1], [10, 2], [30, 1]], 7/184320000], [[[1, 5], [2, 2], [4, 1], [12, 1], [36, 1]], 7/1105920], [[[1, 5], [2, 2], [4, 1], [12, 2], [15, 1]], 7/88473600], [[[1, 5], [2, 2], [4, 1], [12, 2], [20, 1]], 7/58982400], [[[1, 5], [2, 2], [4, 1], [12, 2], [24, 1]], 91/70778880], [[[1, 5], [2, 2], [4, 1], [12, 2], [30, 1]], 7/88473600], [[[1, 5], [2, 2], [4, 1], [15, 1], [20, 1]], 7/6144000], [[[1, 5], [2, 2], [4, 1], [15, 1], [24, 1]], 7/7372800], [[[1, 5], [2, 2], [4, 1], [15, 1], [30, 1]], 7/576000], [[[1, 5], [2, 2], [4, 1], [20, 1], [24, 1]], 7/4915200], [[[1, 5], [2, 2], [4, 1], [20, 1], [30, 1]], 7/6144000], [[[1, 5], [2, 2], [4, 1], [24, 1], [30, 1]], 7/7372800], [[[1, 5], [2, 2], [4, 2], [5, 1], [6, 5]], 31/214990848000], [[[1, 5], [2, 2], [4, 2], [5, 2], [6, 3]], 1/4299816960], [[[1, 5], [2, 2], [4, 2], [5, 2], [7, 1]], 3643/619315200], [[[1, 5], [2, 2], [4, 2], [5, 2], [9, 1]], 1223/796262400], [[[1, 5], [2, 2], [4, 2], [5, 2], [14, 1]], 1/44236800], [[[1, 5], [2, 2], [4, 2], [5, 2], [18, 1]], 1/59719680], [[[1, 5], [2, 2], [4, 2], [5, 3], [6, 1]], 31/829440000], [[[1, 5], [2, 2], [4, 2], [6, 1], [7, 2]], 1/1806336], [[[1, 5], [2, 2], [4, 2], [6, 1], [8, 3]], 2677/339738624], [[[1, 5], [2, 2], [4, 2], [6, 1], [9, 2]], 1/26873856], [[[1, 5], [2, 2], [4, 2], [6, 1], [10, 3]], 31/663552000], [[[1, 5], [2, 2], [4, 2], [6, 1], [12, 3]], 563/1719926784], [[[1, 5], [2, 2], [4, 2], [6, 1], [18, 2]], 5/26873856], [[[1, 5], [2, 2], [4, 2], [6, 1], [28, 1]], 13/774144], [[[1, 5], [2, 2], [4, 2], [6, 1], [36, 1]], 37/2985984], [[[1, 5], [2, 2], [4, 2], [6, 3], [8, 2]], 869/6879707136], [[[1, 5], [2, 2], [4, 2], [6, 3], [10, 2]], 1/4299816960], [[[1, 5], [2, 2], [4, 2], [6, 3], [12, 2]], 1607/10319560704], [[[1, 5], [2, 2], [4, 2], [6, 3], [15, 1]], 1/214990848], [[[1, 5], [2, 2], [4, 2], [6, 3], [20, 1]], 1/143327232], [[[1, 5], [2, 2], [4, 2], [6, 3], [24, 1]], 5/859963392], [[[1, 5], [2, 2], [4, 2], [6, 3], [30, 1]], 1/214990848], [[[1, 5], [2, 2], [4, 2], [6, 4], [7, 1]], 187/160526499840], [[[1, 5], [2, 2], [4, 2], [6, 4], [9, 1]], 71/206391214080], [[[1, 5], [2, 2], [4, 2], [6, 4], [14, 1]], 1/11466178560], [[[1, 5], [2, 2], [4, 2], [6, 4], [18, 1]], 41/15479341056], [[[1, 5], [2, 2], [4, 2], [6, 5], [8, 1]], 217/275188285440], [[[1, 5], [2, 2], [4, 2], [6, 5], [10, 1]], 31/171992678400], [[[1, 5], [2, 2], [4, 2], [6, 5], [12, 1]], 239/309586821120], [[[1, 5], [2, 2], [4, 2], [7, 1], [8, 2]], 31183/198180864], [[[1, 5], [2, 2], [4, 2], [7, 1], [10, 2]], 3643/619315200], [[[1, 5], [2, 2], [4, 2], [7, 1], [12, 2]], 14011/297271296], [[[1, 5], [2, 2], [4, 2], [7, 1], [15, 1]], 187/30965760], [[[1, 5], [2, 2], [4, 2], [7, 1], [16, 1]], 1/7168], [[[1, 5], [2, 2], [4, 2], [7, 1], [20, 1]], 2491/20643840], [[[1, 5], [2, 2], [4, 2], [7, 1], [24, 1]], 187/24772608], [[[1, 5], [2, 2], [4, 2], [7, 1], [30, 1]], 187/30965760], [[[1, 5], [2, 2], [4, 2], [8, 2], [9, 1]], 11915/254803968], [[[1, 5], [2, 2], [4, 2], [8, 2], [14, 1]], 1195/99090432], [[[1, 5], [2, 2], [4, 2], [8, 2], [18, 1]], 869/95551488], [[[1, 5], [2, 2], [4, 2], [9, 1], [10, 2]], 1223/796262400], [[[1, 5], [2, 2], [4, 2], [9, 1], [12, 2]], 4679/382205952], [[[1, 5], [2, 2], [4, 2], [9, 1], [15, 1]], 71/39813120], [[[1, 5], [2, 2], [4, 2], [9, 1], [16, 1]], 1/27648], [[[1, 5], [2, 2], [4, 2], [9, 1], [20, 1]], 839/26542080], [[[1, 5], [2, 2], [4, 2], [9, 1], [24, 1]], 71/31850496], [[[1, 5], [2, 2], [4, 2], [9, 1], [30, 1]], 71/39813120], [[[1, 5], [2, 2], [4, 2], [10, 2], [14, 1]], 1/44236800], [[[1, 5], [2, 2], [4, 2], [10, 2], [18, 1]], 1/59719680], [[[1, 5], [2, 2], [4, 2], [12, 2], [14, 1]], 1/21233664], [[[1, 5], [2, 2], [4, 2], [12, 2], [18, 1]], 5/143327232], [[[1, 5], [2, 2], [4, 2], [14, 1], [15, 1]], 1/2211840], [[[1, 5], [2, 2], [4, 2], [14, 1], [20, 1]], 1/1474560], [[[1, 5], [2, 2], [4, 2], [14, 1], [24, 1]], 1/1769472], [[[1, 5], [2, 2], [4, 2], [14, 1], [30, 1]], 1/2211840], [[[1, 5], [2, 2], [4, 2], [15, 1], [18, 1]], 1/2985984], [[[1, 5], [2, 2], [4, 2], [18, 1], [20, 1]], 1/1990656], [[[1, 5], [2, 2], [4, 2], [18, 1], [24, 1]], 5/11943936], [[[1, 5], [2, 2], [4, 2], [18, 1], [30, 1]], 1/2985984], [[[1, 5], [2, 2], [4, 3], [5, 1], [6, 4]], 109/1146617856000], [[[1, 5], [2, 2], [4, 3], [5, 1], [8, 2]], 13561/1415577600], [[[1, 5], [2, 2], [4, 3], [5, 1], [10, 2]], 109/4423680000], [[[1, 5], [2, 2], [4, 3], [5, 1], [12, 2]], 3401/424673280], [[[1, 5], [2, 2], [4, 3], [5, 1], [15, 1]], 109/221184000], [[[1, 5], [2, 2], [4, 3], [5, 1], [16, 1]], 11/1843200], [[[1, 5], [2, 2], [4, 3], [5, 1], [20, 1]], 13/655360], [[[1, 5], [2, 2], [4, 3], [5, 1], [24, 1]], 109/176947200], [[[1, 5], [2, 2], [4, 3], [5, 1], [30, 1]], 109/221184000], [[[1, 5], [2, 2], [4, 3], [5, 2], [8, 1]], 3769/2831155200], [[[1, 5], [2, 2], [4, 3], [5, 2], [10, 1]], 13/884736000], [[[1, 5], [2, 2], [4, 3], [5, 2], [12, 1]], 4331/2654208000], [[[1, 5], [2, 2], [4, 3], [6, 2], [12, 2]], 427/1274019840], [[[1, 5], [2, 2], [4, 3], [6, 3], [7, 1]], 1/111476736], [[[1, 5], [2, 2], [4, 3], [6, 3], [9, 1]], 1/429981696], [[[1, 5], [2, 2], [4, 3], [6, 4], [8, 1]], 313/733835427840], [[[1, 5], [2, 2], [4, 3], [6, 4], [10, 1]], 13/229323571200], [[[1, 5], [2, 2], [4, 3], [6, 4], [12, 1]], 3307/687970713600], [[[1, 5], [2, 2], [4, 3], [7, 1], [9, 1]], 5/4644864], [[[1, 5], [2, 2], [4, 3], [7, 1], [14, 1]], 103/14450688], [[[1, 5], [2, 2], [4, 3], [7, 1], [18, 1]], 1/1548288], [[[1, 5], [2, 2], [4, 3], [8, 1], [10, 2]], 3769/2831155200], [[[1, 5], [2, 2], [4, 3], [8, 1], [12, 2]], 17209/1358954496], [[[1, 5], [2, 2], [4, 3], [8, 1], [15, 1]], 313/141557760], [[[1, 5], [2, 2], [4, 3], [8, 1], [16, 1]], 287/5898240], [[[1, 5], [2, 2], [4, 3], [8, 1], [20, 1]], 709/18874368], [[[1, 5], [2, 2], [4, 3], [8, 1], [24, 1]], 1145/113246208], [[[1, 5], [2, 2], [4, 3], [8, 1], [30, 1]], 313/141557760], [[[1, 5], [2, 2], [4, 3], [8, 2], [10, 1]], 2281/283115520], [[[1, 5], [2, 2], [4, 3], [8, 2], [12, 1]], 34151/849346560], [[[1, 5], [2, 2], [4, 3], [9, 1], [14, 1]], 1/4644864], [[[1, 5], [2, 2], [4, 3], [9, 1], [18, 1]], 121/23887872], [[[1, 5], [2, 2], [4, 3], [10, 1], [12, 2]], 13/424673280], [[[1, 5], [2, 2], [4, 3], [10, 1], [15, 1]], 13/44236800], [[[1, 5], [2, 2], [4, 3], [10, 1], [20, 1]], 13/29491200], [[[1, 5], [2, 2], [4, 3], [10, 1], [24, 1]], 13/35389440], [[[1, 5], [2, 2], [4, 3], [10, 1], [30, 1]], 13/44236800], [[[1, 5], [2, 2], [4, 3], [10, 2], [12, 1]], 107/2654208000], [[[1, 5], [2, 2], [4, 3], [12, 1], [15, 1]], 107/132710400], [[[1, 5], [2, 2], [4, 3], [12, 1], [16, 1]], 13/3538944], [[[1, 5], [2, 2], [4, 3], [12, 1], [20, 1]], 871/88473600], [[[1, 5], [2, 2], [4, 3], [12, 1], [24, 1]], 749/106168320], [[[1, 5], [2, 2], [4, 3], [12, 1], [30, 1]], 107/132710400], [[[1, 5], [2, 2], [4, 4], [5, 1], [6, 3]], 17/429981696000], [[[1, 5], [2, 2], [4, 4], [5, 1], [7, 1]], 17/28672000], [[[1, 5], [2, 2], [4, 4], [5, 1], [9, 1]], 929/5971968000], [[[1, 5], [2, 2], [4, 4], [5, 1], [14, 1]], 1/258048000], [[[1, 5], [2, 2], [4, 4], [5, 1], [18, 1]], 17/5971968000], [[[1, 5], [2, 2], [4, 4], [5, 2], [6, 1]], 751/382205952000], [[[1, 5], [2, 2], [4, 4], [6, 1], [8, 2]], 51823/122305904640], [[[1, 5], [2, 2], [4, 4], [6, 1], [10, 2]], 751/382205952000], [[[1, 5], [2, 2], [4, 4], [6, 1], [12, 2]], 300271/183458856960], [[[1, 5], [2, 2], [4, 4], [6, 1], [15, 1]], 751/19110297600], [[[1, 5], [2, 2], [4, 4], [6, 1], [16, 1]], 1/884736], [[[1, 5], [2, 2], [4, 4], [6, 1], [20, 1]], 9443/2548039680], [[[1, 5], [2, 2], [4, 4], [6, 1], [24, 1]], 751/15288238080], [[[1, 5], [2, 2], [4, 4], [6, 1], [30, 1]], 751/19110297600], [[[1, 5], [2, 2], [4, 4], [6, 2], [7, 1]], 1/743178240], [[[1, 5], [2, 2], [4, 4], [6, 2], [9, 1]], 1/2866544640], [[[1, 5], [2, 2], [4, 4], [6, 2], [18, 1]], 751/34398535680], [[[1, 5], [2, 2], [4, 4], [6, 3], [8, 1]], 181/91729428480], [[[1, 5], [2, 2], [4, 4], [6, 3], [12, 1]], 9959/1651129712640], [[[1, 5], [2, 2], [4, 4], [7, 1], [8, 1]], 1711/123863040], [[[1, 5], [2, 2], [4, 4], [7, 1], [10, 1]], 121/206438400], [[[1, 5], [2, 2], [4, 4], [7, 1], [12, 1]], 835/74317824], [[[1, 5], [2, 2], [4, 4], [8, 1], [9, 1]], 1405/382205952], [[[1, 5], [2, 2], [4, 4], [8, 1], [14, 1]], 181/990904320], [[[1, 5], [2, 2], [4, 4], [8, 1], [18, 1]], 181/1274019840], [[[1, 5], [2, 2], [4, 4], [9, 1], [10, 1]], 121/796262400], [[[1, 5], [2, 2], [4, 4], [9, 1], [12, 1]], 287/95551488], [[[1, 5], [2, 2], [4, 4], [12, 1], [14, 1]], 1/5308416], [[[1, 5], [2, 2], [4, 4], [12, 1], [18, 1]], 5/35831808], [[[1, 5], [2, 2], [4, 5], [5, 1], [8, 1]], 2029/7077888000], [[[1, 5], [2, 2], [4, 5], [5, 1], [10, 1]], 11/4423680000], [[[1, 5], [2, 2], [4, 5], [5, 1], [12, 1]], 7/14745600], [[[1, 5], [2, 2], [4, 5], [6, 1], [7, 1]], 1/185794560], [[[1, 5], [2, 2], [4, 5], [6, 1], [9, 1]], 1/573308928], [[[1, 5], [2, 2], [4, 5], [6, 1], [14, 1]], 1/1486356480], [[[1, 5], [2, 2], [4, 5], [6, 1], [18, 1]], 79/8493465600], [[[1, 5], [2, 2], [4, 5], [6, 2], [8, 1]], 7/10192158720], [[[1, 5], [2, 2], [4, 5], [6, 2], [10, 1]], 1/3185049600], [[[1, 5], [2, 2], [4, 5], [6, 2], [12, 1]], 277/135895449600], [[[1, 5], [2, 2], [4, 5], [8, 1], [10, 1]], 73/566231040], [[[1, 5], [2, 2], [4, 5], [8, 1], [12, 1]], 433/113246208], [[[1, 5], [2, 2], [4, 5], [10, 1], [12, 1]], 13/106168320], [[[1, 5], [2, 2], [4, 6], [5, 1], [6, 1]], 31/63700992000], [[[1, 5], [2, 2], [4, 6], [6, 1], [8, 1]], 2521/81537269760], [[[1, 5], [2, 2], [4, 6], [6, 1], [10, 1]], 31/50960793600], [[[1, 5], [2, 2], [4, 6], [6, 1], [12, 1]], 18623/275188285440], [[[1, 5], [2, 2], [5, 1], [6, 1], [8, 3]], 11/22118400], [[[1, 5], [2, 2], [5, 1], [6, 1], [10, 3]], 1/7200000], [[[1, 5], [2, 2], [5, 1], [6, 1], [12, 3]], 17/49766400], [[[1, 5], [2, 2], [5, 1], [6, 1], [18, 2]], 17/6998400], [[[1, 5], [2, 2], [5, 1], [6, 3], [8, 2]], 17/1791590400], [[[1, 5], [2, 2], [5, 1], [6, 3], [10, 2]], 17/5598720000], [[[1, 5], [2, 2], [5, 1], [6, 3], [12, 2]], 187/537477120], [[[1, 5], [2, 2], [5, 1], [6, 3], [15, 1]], 17/279936000], [[[1, 5], [2, 2], [5, 1], [6, 3], [20, 1]], 17/186624000], [[[1, 5], [2, 2], [5, 1], [6, 3], [24, 1]], 17/223948800], [[[1, 5], [2, 2], [5, 1], [6, 3], [30, 1]], 17/279936000], [[[1, 5], [2, 2], [5, 1], [6, 4], [7, 1]], 1/290304000], [[[1, 5], [2, 2], [5, 1], [6, 4], [9, 1]], 29/20155392000], [[[1, 5], [2, 2], [5, 1], [6, 4], [14, 1]], 1/870912000], [[[1, 5], [2, 2], [5, 1], [6, 4], [18, 1]], 697/20155392000], [[[1, 5], [2, 2], [5, 1], [6, 5], [8, 1]], 11/17915904000], [[[1, 5], [2, 2], [5, 1], [6, 5], [10, 1]], 1/1866240000], [[[1, 5], [2, 2], [5, 1], [6, 5], [12, 1]], 187/26873856000], [[[1, 5], [2, 2], [5, 1], [7, 1], [8, 2]], 1/358400], [[[1, 5], [2, 2], [5, 1], [7, 1], [10, 2]], 1/1120000], [[[1, 5], [2, 2], [5, 1], [7, 1], [12, 2]], 1/537600], [[[1, 5], [2, 2], [5, 1], [7, 1], [15, 1]], 1/56000], [[[1, 5], [2, 2], [5, 1], [7, 1], [20, 1]], 3/112000], [[[1, 5], [2, 2], [5, 1], [7, 1], [24, 1]], 1/44800], [[[1, 5], [2, 2], [5, 1], [7, 1], [30, 1]], 1/56000], [[[1, 5], [2, 2], [5, 1], [8, 2], [9, 1]], 29/24883200], [[[1, 5], [2, 2], [5, 1], [8, 2], [14, 1]], 1/1075200], [[[1, 5], [2, 2], [5, 1], [8, 2], [18, 1]], 17/24883200], [[[1, 5], [2, 2], [5, 1], [9, 1], [10, 2]], 29/77760000], [[[1, 5], [2, 2], [5, 1], [9, 1], [12, 2]], 29/37324800], [[[1, 5], [2, 2], [5, 1], [9, 1], [15, 1]], 29/3888000], [[[1, 5], [2, 2], [5, 1], [9, 1], [20, 1]], 29/2592000], [[[1, 5], [2, 2], [5, 1], [9, 1], [24, 1]], 29/3110400], [[[1, 5], [2, 2], [5, 1], [9, 1], [30, 1]], 29/3888000], [[[1, 5], [2, 2], [5, 1], [10, 2], [14, 1]], 1/3360000], [[[1, 5], [2, 2], [5, 1], [10, 2], [18, 1]], 17/77760000], [[[1, 5], [2, 2], [5, 1], [12, 2], [14, 1]], 1/1612800], [[[1, 5], [2, 2], [5, 1], [12, 2], [18, 1]], 17/37324800], [[[1, 5], [2, 2], [5, 1], [14, 1], [15, 1]], 1/168000], [[[1, 5], [2, 2], [5, 1], [14, 1], [20, 1]], 1/112000], [[[1, 5], [2, 2], [5, 1], [14, 1], [24, 1]], 1/134400], [[[1, 5], [2, 2], [5, 1], [14, 1], [30, 1]], 1/168000], [[[1, 5], [2, 2], [5, 1], [15, 1], [18, 1]], 17/3888000], [[[1, 5], [2, 2], [5, 1], [18, 1], [20, 1]], 17/2592000], [[[1, 5], [2, 2], [5, 1], [18, 1], [24, 1]], 17/3110400], [[[1, 5], [2, 2], [5, 1], [18, 1], [30, 1]], 17/3888000], [[[1, 5], [2, 2], [5, 2], [6, 1], [8, 2]], 73/1592524800], [[[1, 5], [2, 2], [5, 2], [6, 1], [10, 2]], 301/4976640000], [[[1, 5], [2, 2], [5, 2], [6, 1], [12, 2]], 1/2388787200], [[[1, 5], [2, 2], [5, 2], [6, 1], [15, 1]], 1/248832000], [[[1, 5], [2, 2], [5, 2], [6, 1], [20, 1]], 1/165888000], [[[1, 5], [2, 2], [5, 2], [6, 1], [24, 1]], 1/199065600], [[[1, 5], [2, 2], [5, 2], [6, 1], [30, 1]], 1/248832000], [[[1, 5], [2, 2], [5, 2], [6, 2], [7, 1]], 1/9676800], [[[1, 5], [2, 2], [5, 2], [6, 2], [9, 1]], 1/37324800], [[[1, 5], [2, 2], [5, 2], [6, 2], [18, 1]], 1/447897600], [[[1, 5], [2, 2], [5, 2], [6, 3], [8, 1]], 1/1194393600], [[[1, 5], [2, 2], [5, 2], [6, 3], [12, 1]], 1/2388787200], [[[1, 5], [2, 2], [5, 2], [7, 1], [8, 1]], 1/1612800], [[[1, 5], [2, 2], [5, 2], [7, 1], [10, 1]], 1/2688000], [[[1, 5], [2, 2], [5, 2], [8, 1], [9, 1]], 1/4976640], [[[1, 5], [2, 2], [5, 2], [8, 1], [14, 1]], 1/12902400], [[[1, 5], [2, 2], [5, 2], [8, 1], [18, 1]], 1/16588800], [[[1, 5], [2, 2], [5, 2], [9, 1], [10, 1]], 1/10368000], [[[1, 5], [2, 2], [5, 3], [6, 1], [8, 1]], 11/69120000], [[[1, 5], [2, 2], [5, 3], [6, 1], [10, 1]], 1/7200000], [[[1, 5], [2, 2], [5, 3], [6, 1], [12, 1]], 17/103680000], [[[1, 5], [2, 2], [6, 1], [7, 2], [8, 1]], 1/50176], [[[1, 5], [2, 2], [6, 1], [7, 2], [10, 1]], 1/47040], [[[1, 5], [2, 2], [6, 1], [7, 2], [12, 1]], 5/225792], [[[1, 5], [2, 2], [6, 1], [8, 1], [9, 2]], 7/2239488], [[[1, 5], [2, 2], [6, 1], [8, 1], [10, 3]], 1/27648000], [[[1, 5], [2, 2], [6, 1], [8, 1], [12, 3]], 1/10616832], [[[1, 5], [2, 2], [6, 1], [8, 1], [18, 2]], 1/1492992], [[[1, 5], [2, 2], [6, 1], [8, 2], [10, 2]], 73/1592524800], [[[1, 5], [2, 2], [6, 1], [8, 2], [12, 2]], 73/764411904], [[[1, 5], [2, 2], [6, 1], [8, 2], [15, 1]], 73/79626240], [[[1, 5], [2, 2], [6, 1], [8, 2], [20, 1]], 73/53084160], [[[1, 5], [2, 2], [6, 1], [8, 2], [24, 1]], 35/21233664], [[[1, 5], [2, 2], [6, 1], [8, 2], [30, 1]], 73/79626240], [[[1, 5], [2, 2], [6, 1], [8, 3], [10, 1]], 1/8847360], [[[1, 5], [2, 2], [6, 1], [8, 3], [12, 1]], 1/7077888], [[[1, 5], [2, 2], [6, 1], [9, 2], [10, 1]], 1/349920], [[[1, 5], [2, 2], [6, 1], [9, 2], [12, 1]], 11/3359232], [[[1, 5], [2, 2], [6, 1], [10, 2], [12, 2]], 1/2388787200], [[[1, 5], [2, 2], [6, 1], [10, 2], [15, 1]], 1/248832000], [[[1, 5], [2, 2], [6, 1], [10, 2], [20, 1]], 1/165888000], [[[1, 5], [2, 2], [6, 1], [10, 2], [24, 1]], 1/199065600], [[[1, 5], [2, 2], [6, 1], [10, 2], [30, 1]], 1/248832000], [[[1, 5], [2, 2], [6, 1], [12, 1], [36, 1]], 1/1492992], [[[1, 5], [2, 2], [6, 1], [12, 2], [15, 1]], 1/119439360], [[[1, 5], [2, 2], [6, 1], [12, 2], [20, 1]], 1/79626240], [[[1, 5], [2, 2], [6, 1], [12, 2], [24, 1]], 13/95551488], [[[1, 5], [2, 2], [6, 1], [12, 2], [30, 1]], 1/119439360], [[[1, 5], [2, 2], [6, 1], [15, 1], [20, 1]], 1/8294400], [[[1, 5], [2, 2], [6, 1], [15, 1], [24, 1]], 1/9953280], [[[1, 5], [2, 2], [6, 1], [15, 1], [30, 1]], 1/777600], [[[1, 5], [2, 2], [6, 1], [20, 1], [24, 1]], 1/6635520], [[[1, 5], [2, 2], [6, 1], [20, 1], [30, 1]], 1/8294400], [[[1, 5], [2, 2], [6, 1], [24, 1], [30, 1]], 1/9953280], [[[1, 5], [2, 2], [6, 2], [7, 1], [8, 2]], 13/3096576], [[[1, 5], [2, 2], [6, 2], [7, 1], [10, 2]], 1/387072], [[[1, 5], [2, 2], [6, 2], [7, 1], [12, 2]], 19/4644864], [[[1, 5], [2, 2], [6, 2], [7, 1], [15, 1]], 1/483840], [[[1, 5], [2, 2], [6, 2], [7, 1], [20, 1]], 1/322560], [[[1, 5], [2, 2], [6, 2], [7, 1], [24, 1]], 1/387072], [[[1, 5], [2, 2], [6, 2], [7, 1], [30, 1]], 1/483840], [[[1, 5], [2, 2], [6, 2], [8, 2], [9, 1]], 13/11943936], [[[1, 5], [2, 2], [6, 2], [8, 2], [18, 1]], 73/143327232], [[[1, 5], [2, 2], [6, 2], [9, 1], [10, 2]], 1/1492992], [[[1, 5], [2, 2], [6, 2], [9, 1], [12, 2]], 19/17915904], [[[1, 5], [2, 2], [6, 2], [9, 1], [15, 1]], 1/1866240], [[[1, 5], [2, 2], [6, 2], [9, 1], [20, 1]], 1/1244160], [[[1, 5], [2, 2], [6, 2], [9, 1], [24, 1]], 1/1492992], [[[1, 5], [2, 2], [6, 2], [9, 1], [30, 1]], 1/1866240], [[[1, 5], [2, 2], [6, 2], [10, 2], [18, 1]], 1/447897600], [[[1, 5], [2, 2], [6, 2], [12, 2], [18, 1]], 1/214990848], [[[1, 5], [2, 2], [6, 2], [15, 1], [18, 1]], 1/22394880], [[[1, 5], [2, 2], [6, 2], [18, 1], [20, 1]], 1/14929920], [[[1, 5], [2, 2], [6, 2], [18, 1], [24, 1]], 1/17915904], [[[1, 5], [2, 2], [6, 2], [18, 1], [30, 1]], 1/22394880], [[[1, 5], [2, 2], [6, 3], [7, 1], [9, 1]], 1/2939328], [[[1, 5], [2, 2], [6, 3], [7, 1], [14, 1]], 1/4064256], [[[1, 5], [2, 2], [6, 3], [7, 1], [18, 1]], 1/746496], [[[1, 5], [2, 2], [6, 3], [8, 1], [10, 2]], 1/1194393600], [[[1, 5], [2, 2], [6, 3], [8, 1], [12, 2]], 55/573308928], [[[1, 5], [2, 2], [6, 3], [8, 1], [15, 1]], 1/59719680], [[[1, 5], [2, 2], [6, 3], [8, 1], [20, 1]], 1/39813120], [[[1, 5], [2, 2], [6, 3], [8, 1], [24, 1]], 1/47775744], [[[1, 5], [2, 2], [6, 3], [8, 1], [30, 1]], 1/59719680], [[[1, 5], [2, 2], [6, 3], [8, 2], [12, 1]], 73/764411904], [[[1, 5], [2, 2], [6, 3], [9, 1], [14, 1]], 1/15676416], [[[1, 5], [2, 2], [6, 3], [9, 1], [18, 1]], 7/20155392], [[[1, 5], [2, 2], [6, 3], [10, 2], [12, 1]], 1/2388787200], [[[1, 5], [2, 2], [6, 3], [12, 1], [15, 1]], 1/119439360], [[[1, 5], [2, 2], [6, 3], [12, 1], [20, 1]], 1/79626240], [[[1, 5], [2, 2], [6, 3], [12, 1], [24, 1]], 1/95551488], [[[1, 5], [2, 2], [6, 3], [12, 1], [30, 1]], 1/119439360], [[[1, 5], [2, 2], [6, 4], [7, 1], [8, 1]], 61/418037760], [[[1, 5], [2, 2], [6, 4], [7, 1], [10, 1]], 1/8601600], [[[1, 5], [2, 2], [6, 4], [7, 1], [12, 1]], 5/13934592], [[[1, 5], [2, 2], [6, 4], [8, 1], [9, 1]], 49/1289945088], [[[1, 5], [2, 2], [6, 4], [8, 1], [14, 1]], 1/3344302080], [[[1, 5], [2, 2], [6, 4], [8, 1], [18, 1]], 41/4299816960], [[[1, 5], [2, 2], [6, 4], [9, 1], [10, 1]], 1/33177600], [[[1, 5], [2, 2], [6, 4], [9, 1], [12, 1]], 5/53747712], [[[1, 5], [2, 2], [6, 4], [12, 1], [18, 1]], 1/214990848], [[[1, 5], [2, 2], [6, 5], [8, 1], [10, 1]], 1/7166361600], [[[1, 5], [2, 2], [6, 5], [8, 1], [12, 1]], 11/5733089280], [[[1, 5], [2, 2], [7, 1], [8, 1], [10, 2]], 1/1612800], [[[1, 5], [2, 2], [7, 1], [8, 1], [12, 2]], 1/774144], [[[1, 5], [2, 2], [7, 1], [8, 1], [15, 1]], 1/80640], [[[1, 5], [2, 2], [7, 1], [8, 1], [16, 1]], 1/14336], [[[1, 5], [2, 2], [7, 1], [8, 1], [20, 1]], 1/53760], [[[1, 5], [2, 2], [7, 1], [8, 1], [24, 1]], 1/64512], [[[1, 5], [2, 2], [7, 1], [8, 1], [30, 1]], 1/80640], [[[1, 5], [2, 2], [7, 1], [8, 2], [10, 1]], 1/860160], [[[1, 5], [2, 2], [7, 1], [9, 1], [14, 1]], 5/42336], [[[1, 5], [2, 2], [7, 1], [9, 1], [18, 1]], 5/46656], [[[1, 5], [2, 2], [7, 1], [10, 1], [12, 2]], 1/1290240], [[[1, 5], [2, 2], [7, 1], [10, 1], [15, 1]], 1/134400], [[[1, 5], [2, 2], [7, 1], [10, 1], [20, 1]], 1/89600], [[[1, 5], [2, 2], [7, 1], [10, 1], [24, 1]], 1/107520], [[[1, 5], [2, 2], [7, 1], [10, 1], [30, 1]], 1/134400], [[[1, 5], [2, 2], [7, 1], [14, 1], [18, 1]], 1/56448], [[[1, 5], [2, 2], [8, 1], [9, 1], [10, 2]], 1/4976640], [[[1, 5], [2, 2], [8, 1], [9, 1], [12, 2]], 5/11943936], [[[1, 5], [2, 2], [8, 1], [9, 1], [15, 1]], 1/248832], [[[1, 5], [2, 2], [8, 1], [9, 1], [16, 1]], 1/55296], [[[1, 5], [2, 2], [8, 1], [9, 1], [20, 1]], 1/165888], [[[1, 5], [2, 2], [8, 1], [9, 1], [24, 1]], 5/995328], [[[1, 5], [2, 2], [8, 1], [9, 1], [30, 1]], 1/248832], [[[1, 5], [2, 2], [8, 1], [10, 2], [14, 1]], 1/12902400], [[[1, 5], [2, 2], [8, 1], [10, 2], [18, 1]], 1/16588800], [[[1, 5], [2, 2], [8, 1], [12, 2], [14, 1]], 1/6193152], [[[1, 5], [2, 2], [8, 1], [12, 2], [18, 1]], 1/7962624], [[[1, 5], [2, 2], [8, 1], [14, 1], [15, 1]], 1/645120], [[[1, 5], [2, 2], [8, 1], [14, 1], [20, 1]], 1/430080], [[[1, 5], [2, 2], [8, 1], [14, 1], [24, 1]], 1/516096], [[[1, 5], [2, 2], [8, 1], [14, 1], [30, 1]], 1/645120], [[[1, 5], [2, 2], [8, 1], [15, 1], [18, 1]], 1/829440], [[[1, 5], [2, 2], [8, 1], [18, 1], [20, 1]], 1/552960], [[[1, 5], [2, 2], [8, 1], [18, 1], [24, 1]], 1/663552], [[[1, 5], [2, 2], [8, 1], [18, 1], [30, 1]], 1/829440], [[[1, 5], [2, 2], [8, 2], [9, 1], [10, 1]], 1/3317760], [[[1, 5], [2, 2], [9, 1], [10, 1], [12, 2]], 1/4976640], [[[1, 5], [2, 2], [9, 1], [10, 1], [15, 1]], 1/518400], [[[1, 5], [2, 2], [9, 1], [10, 1], [20, 1]], 1/345600], [[[1, 5], [2, 2], [9, 1], [10, 1], [24, 1]], 1/414720], [[[1, 5], [2, 2], [9, 1], [10, 1], [30, 1]], 1/518400], [[[1, 5], [2, 2], [9, 1], [14, 1], [18, 1]], 1/217728], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 3]], 767/103680000], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 6]], 7673/309586821120], [[[1, 5], [2, 4], [3, 1], [4, 1], [7, 2]], 1/75264], [[[1, 5], [2, 4], [3, 1], [4, 1], [8, 3]], 38059/1698693120], [[[1, 5], [2, 4], [3, 1], [4, 1], [9, 2]], 29/4478976], [[[1, 5], [2, 4], [3, 1], [4, 1], [10, 3]], 7/27648000], [[[1, 5], [2, 4], [3, 1], [4, 1], [12, 3]], 67/95551488], [[[1, 5], [2, 4], [3, 1], [4, 1], [14, 2]], 5/602112], [[[1, 5], [2, 4], [3, 1], [4, 1], [18, 2]], 11/2985984], [[[1, 5], [2, 4], [3, 1], [4, 1], [28, 1]], 1/43008], [[[1, 5], [2, 4], [3, 1], [4, 1], [36, 1]], 1/55296], [[[1, 5], [2, 4], [3, 1], [4, 2], [6, 5]], 680423/12383472844800], [[[1, 5], [2, 4], [3, 1], [4, 3], [5, 2]], 18199/2548039680], [[[1, 5], [2, 4], [3, 1], [4, 3], [6, 4]], 159287/660451885056], [[[1, 5], [2, 4], [3, 1], [4, 3], [8, 2]], 394277/4076863488], [[[1, 5], [2, 4], [3, 1], [4, 3], [10, 2]], 38579/12740198400], [[[1, 5], [2, 4], [3, 1], [4, 3], [12, 2]], 84497/2038431744], [[[1, 5], [2, 4], [3, 1], [4, 3], [15, 1]], 343/127401984], [[[1, 5], [2, 4], [3, 1], [4, 3], [16, 1]], 113/1769472], [[[1, 5], [2, 4], [3, 1], [4, 3], [20, 1]], 4951/84934656], [[[1, 5], [2, 4], [3, 1], [4, 3], [24, 1]], 1715/509607936], [[[1, 5], [2, 4], [3, 1], [4, 3], [30, 1]], 343/127401984], [[[1, 5], [2, 4], [3, 1], [4, 4], [6, 3]], 6047539/24766945689600], [[[1, 5], [2, 4], [3, 1], [4, 4], [7, 1]], 17161/17836277760], [[[1, 5], [2, 4], [3, 1], [4, 4], [9, 1]], 2030771/1100753141760], [[[1, 5], [2, 4], [3, 1], [4, 4], [14, 1]], 23881/22295347200], [[[1, 5], [2, 4], [3, 1], [4, 4], [18, 1]], 6647/10749542400], [[[1, 5], [2, 4], [3, 1], [4, 5], [5, 1]], 9047/7962624000], [[[1, 5], [2, 4], [3, 1], [4, 5], [6, 2]], 21041/30576476160], [[[1, 5], [2, 4], [3, 1], [4, 5], [8, 1]], 3648109/407686348800], [[[1, 5], [2, 4], [3, 1], [4, 5], [10, 1]], 43/88473600], [[[1, 5], [2, 4], [3, 1], [4, 5], [12, 1]], 6785/1019215872], [[[1, 5], [2, 4], [3, 1], [4, 6], [6, 1]], 4738373/3669177139200], [[[1, 5], [2, 4], [3, 1], [5, 1], [6, 5]], 4043/71663616000], [[[1, 5], [2, 4], [3, 1], [5, 2], [6, 3]], 84517/322486272000], [[[1, 5], [2, 4], [3, 1], [5, 2], [7, 1]], 457/33177600], [[[1, 5], [2, 4], [3, 1], [5, 2], [9, 1]], 149729/14332723200], [[[1, 5], [2, 4], [3, 1], [5, 2], [14, 1]], 5503/290304000], [[[1, 5], [2, 4], [3, 1], [5, 2], [18, 1]], 2827/279936000], [[[1, 5], [2, 4], [3, 1], [5, 3], [6, 1]], 1667/2488320000], [[[1, 5], [2, 4], [3, 1], [6, 1], [7, 2]], 1/28224], [[[1, 5], [2, 4], [3, 1], [6, 1], [8, 3]], 1759/127401984], [[[1, 5], [2, 4], [3, 1], [6, 1], [9, 2]], 323/26873856], [[[1, 5], [2, 4], [3, 1], [6, 1], [10, 3]], 143/311040000], [[[1, 5], [2, 4], [3, 1], [6, 1], [12, 3]], 589/2866544640], [[[1, 5], [2, 4], [3, 1], [6, 1], [14, 2]], 1/64512], [[[1, 5], [2, 4], [3, 1], [6, 1], [18, 2]], 841/100776960], [[[1, 5], [2, 4], [3, 1], [6, 3], [8, 2]], 760309/103195607040], [[[1, 5], [2, 4], [3, 1], [6, 3], [10, 2]], 1348549/322486272000], [[[1, 5], [2, 4], [3, 1], [6, 3], [12, 2]], 216455/30958682112], [[[1, 5], [2, 4], [3, 1], [6, 3], [15, 1]], 39589/16124313600], [[[1, 5], [2, 4], [3, 1], [6, 3], [20, 1]], 39589/10749542400], [[[1, 5], [2, 4], [3, 1], [6, 3], [24, 1]], 117349/12899450880], [[[1, 5], [2, 4], [3, 1], [6, 3], [30, 1]], 39589/16124313600], [[[1, 5], [2, 4], [3, 1], [6, 4], [7, 1]], 79711/60197437440], [[[1, 5], [2, 4], [3, 1], [6, 4], [9, 1]], 881867/1238347284480], [[[1, 5], [2, 4], [3, 1], [6, 4], [14, 1]], 7633/10749542400], [[[1, 5], [2, 4], [3, 1], [6, 4], [18, 1]], 269083/145118822400], [[[1, 5], [2, 4], [3, 1], [6, 5], [8, 1]], 4343/11466178560], [[[1, 5], [2, 4], [3, 1], [6, 5], [10, 1]], 437/1259712000], [[[1, 5], [2, 4], [3, 1], [6, 5], [12, 1]], 1001279/1547934105600], [[[1, 5], [2, 4], [3, 1], [7, 1], [8, 2]], 1039/74317824], [[[1, 5], [2, 4], [3, 1], [7, 1], [10, 2]], 31/232243200], [[[1, 5], [2, 4], [3, 1], [7, 1], [12, 2]], 31/111476736], [[[1, 5], [2, 4], [3, 1], [7, 1], [15, 1]], 31/11612160], [[[1, 5], [2, 4], [3, 1], [7, 1], [20, 1]], 31/7741440], [[[1, 5], [2, 4], [3, 1], [7, 1], [24, 1]], 31/9289728], [[[1, 5], [2, 4], [3, 1], [7, 1], [30, 1]], 31/11612160], [[[1, 5], [2, 4], [3, 1], [8, 2], [9, 1]], 41729/4586471424], [[[1, 5], [2, 4], [3, 1], [8, 2], [14, 1]], 751/92897280], [[[1, 5], [2, 4], [3, 1], [8, 2], [18, 1]], 257/44789760], [[[1, 5], [2, 4], [3, 1], [9, 1], [10, 2]], 11489/14332723200], [[[1, 5], [2, 4], [3, 1], [9, 1], [12, 2]], 1121/6879707136], [[[1, 5], [2, 4], [3, 1], [9, 1], [15, 1]], 1121/716636160], [[[1, 5], [2, 4], [3, 1], [9, 1], [20, 1]], 1121/477757440], [[[1, 5], [2, 4], [3, 1], [9, 1], [24, 1]], 1121/573308928], [[[1, 5], [2, 4], [3, 1], [9, 1], [30, 1]], 1121/716636160], [[[1, 5], [2, 4], [3, 1], [10, 2], [14, 1]], 31/290304000], [[[1, 5], [2, 4], [3, 1], [10, 2], [18, 1]], 19/279936000], [[[1, 5], [2, 4], [3, 1], [12, 2], [14, 1]], 31/139345920], [[[1, 5], [2, 4], [3, 1], [12, 2], [18, 1]], 19/134369280], [[[1, 5], [2, 4], [3, 1], [14, 1], [15, 1]], 31/14515200], [[[1, 5], [2, 4], [3, 1], [14, 1], [20, 1]], 31/9676800], [[[1, 5], [2, 4], [3, 1], [14, 1], [24, 1]], 31/11612160], [[[1, 5], [2, 4], [3, 1], [14, 1], [30, 1]], 31/14515200], [[[1, 5], [2, 4], [3, 1], [15, 1], [18, 1]], 19/13996800], [[[1, 5], [2, 4], [3, 1], [18, 1], [20, 1]], 19/9331200], [[[1, 5], [2, 4], [3, 1], [18, 1], [24, 1]], 19/11197440], [[[1, 5], [2, 4], [3, 1], [18, 1], [30, 1]], 19/13996800], [[[1, 5], [2, 4], [3, 2], [4, 1], [6, 5]], 6974063/12383472844800], [[[1, 5], [2, 4], [3, 2], [4, 2], [5, 2]], 517939/57330892800], [[[1, 5], [2, 4], [3, 2], [4, 2], [6, 4]], 11375575/2972033482752], [[[1, 5], [2, 4], [3, 2], [4, 2], [8, 2]], 725623/18345885696], [[[1, 5], [2, 4], [3, 2], [4, 2], [10, 2]], 12047/11466178560], [[[1, 5], [2, 4], [3, 2], [4, 2], [12, 2]], 131311/6879707136], [[[1, 5], [2, 4], [3, 2], [4, 2], [15, 1]], 1679/573308928], [[[1, 5], [2, 4], [3, 2], [4, 2], [16, 1]], 5/221184], [[[1, 5], [2, 4], [3, 2], [4, 2], [20, 1]], 8591/382205952], [[[1, 5], [2, 4], [3, 2], [4, 2], [24, 1]], 8395/2293235712], [[[1, 5], [2, 4], [3, 2], [4, 2], [30, 1]], 1679/573308928], [[[1, 5], [2, 4], [3, 2], [4, 3], [6, 3]], 68586367/4953389137920], [[[1, 5], [2, 4], [3, 2], [4, 3], [7, 1]], 1/1548288], [[[1, 5], [2, 4], [3, 2], [4, 3], [9, 1]], 737/382205952], [[[1, 5], [2, 4], [3, 2], [4, 3], [14, 1]], 59/55738368], [[[1, 5], [2, 4], [3, 2], [4, 3], [18, 1]], 29/53747712], [[[1, 5], [2, 4], [3, 2], [4, 4], [5, 1]], 30883/38220595200], [[[1, 5], [2, 4], [3, 2], [4, 4], [6, 2]], 1107043519/63403380965376], [[[1, 5], [2, 4], [3, 2], [4, 4], [8, 1]], 8113/2293235712], [[[1, 5], [2, 4], [3, 2], [4, 4], [10, 1]], 26219/71663616000], [[[1, 5], [2, 4], [3, 2], [4, 4], [12, 1]], 66054121/17612050268160], [[[1, 5], [2, 4], [3, 2], [4, 5], [6, 1]], 2103661/1223059046400], [[[1, 5], [2, 4], [3, 2], [5, 1], [6, 4]], 32311/42998169600], [[[1, 5], [2, 4], [3, 2], [5, 1], [8, 2]], 1441/159252480], [[[1, 5], [2, 4], [3, 2], [5, 1], [10, 2]], 73/497664000], [[[1, 5], [2, 4], [3, 2], [5, 1], [12, 2]], 829/238878720], [[[1, 5], [2, 4], [3, 2], [5, 1], [15, 1]], 73/24883200], [[[1, 5], [2, 4], [3, 2], [5, 1], [20, 1]], 73/16588800], [[[1, 5], [2, 4], [3, 2], [5, 1], [24, 1]], 73/19906560], [[[1, 5], [2, 4], [3, 2], [5, 1], [30, 1]], 73/24883200], [[[1, 5], [2, 4], [3, 2], [5, 2], [6, 2]], 12757241/4127824281600], [[[1, 5], [2, 4], [3, 2], [5, 2], [8, 1]], 739/74649600], [[[1, 5], [2, 4], [3, 2], [5, 2], [10, 1]], 2089/466560000], [[[1, 5], [2, 4], [3, 2], [5, 2], [12, 1]], 526193/76441190400], [[[1, 5], [2, 4], [3, 2], [6, 2], [8, 2]], 36309017/1320903770112], [[[1, 5], [2, 4], [3, 2], [6, 2], [10, 2]], 7877369/4127824281600], [[[1, 5], [2, 4], [3, 2], [6, 2], [12, 2]], 49157471/1981355655168], [[[1, 5], [2, 4], [3, 2], [6, 2], [15, 1]], 594661/41278242816], [[[1, 5], [2, 4], [3, 2], [6, 2], [20, 1]], 594661/27518828544], [[[1, 5], [2, 4], [3, 2], [6, 2], [24, 1]], 12958337/165112971264], [[[1, 5], [2, 4], [3, 2], [6, 2], [30, 1]], 594661/41278242816], [[[1, 5], [2, 4], [3, 2], [6, 3], [7, 1]], 15331/2579890176], [[[1, 5], [2, 4], [3, 2], [6, 3], [9, 1]], 526921/116095057920], [[[1, 5], [2, 4], [3, 2], [6, 3], [14, 1]], 39013/9029615616], [[[1, 5], [2, 4], [3, 2], [6, 3], [18, 1]], 11989483/1114512556032], [[[1, 5], [2, 4], [3, 2], [6, 4], [8, 1]], 8935/3869835264], [[[1, 5], [2, 4], [3, 2], [6, 4], [10, 1]], 512779/241864704000], [[[1, 5], [2, 4], [3, 2], [6, 4], [12, 1]], 241632001/59440669655040], [[[1, 5], [2, 4], [3, 2], [7, 1], [9, 1]], 139/20901888], [[[1, 5], [2, 4], [3, 2], [7, 1], [14, 1]], 1/15876], [[[1, 5], [2, 4], [3, 2], [7, 1], [18, 1]], 47/7838208], [[[1, 5], [2, 4], [3, 2], [8, 1], [10, 2]], 1/7464960], [[[1, 5], [2, 4], [3, 2], [8, 1], [12, 2]], 517/143327232], [[[1, 5], [2, 4], [3, 2], [8, 1], [15, 1]], 1/373248], [[[1, 5], [2, 4], [3, 2], [8, 1], [16, 1]], 5/442368], [[[1, 5], [2, 4], [3, 2], [8, 1], [20, 1]], 1/248832], [[[1, 5], [2, 4], [3, 2], [8, 1], [24, 1]], 5/1492992], [[[1, 5], [2, 4], [3, 2], [8, 1], [30, 1]], 1/373248], [[[1, 5], [2, 4], [3, 2], [8, 2], [10, 1]], 479/298598400], [[[1, 5], [2, 4], [3, 2], [8, 2], [12, 1]], 141713/24461180928], [[[1, 5], [2, 4], [3, 2], [9, 1], [14, 1]], 181/26127360], [[[1, 5], [2, 4], [3, 2], [9, 1], [18, 1]], 439/25194240], [[[1, 5], [2, 4], [3, 2], [10, 1], [12, 2]], 703/223948800], [[[1, 5], [2, 4], [3, 2], [10, 1], [15, 1]], 37/23328000], [[[1, 5], [2, 4], [3, 2], [10, 1], [20, 1]], 37/15552000], [[[1, 5], [2, 4], [3, 2], [10, 1], [24, 1]], 37/18662400], [[[1, 5], [2, 4], [3, 2], [10, 1], [30, 1]], 37/23328000], [[[1, 5], [2, 4], [3, 2], [10, 2], [12, 1]], 2941/15288238080], [[[1, 5], [2, 4], [3, 2], [12, 1], [15, 1]], 4337/3822059520], [[[1, 5], [2, 4], [3, 2], [12, 1], [20, 1]], 4337/2548039680], [[[1, 5], [2, 4], [3, 2], [12, 1], [24, 1]], 4337/3057647616], [[[1, 5], [2, 4], [3, 2], [12, 1], [30, 1]], 4337/3822059520], [[[1, 5], [2, 4], [3, 2], [14, 1], [18, 1]], 37/7838208], [[[1, 5], [2, 4], [3, 3], [4, 1], [5, 2]], 10781/2149908480], [[[1, 5], [2, 4], [3, 3], [4, 1], [6, 4]], 13482059/2786281390080], [[[1, 5], [2, 4], [3, 3], [4, 1], [8, 2]], 26221/3439853568], [[[1, 5], [2, 4], [3, 3], [4, 1], [10, 2]], 1777/10749542400], [[[1, 5], [2, 4], [3, 3], [4, 1], [12, 2]], 32035/5159780352], [[[1, 5], [2, 4], [3, 3], [4, 1], [15, 1]], 769/537477120], [[[1, 5], [2, 4], [3, 3], [4, 1], [16, 1]], 1/2985984], [[[1, 5], [2, 4], [3, 3], [4, 1], [20, 1]], 769/358318080], [[[1, 5], [2, 4], [3, 3], [4, 1], [24, 1]], 769/429981696], [[[1, 5], [2, 4], [3, 3], [4, 1], [30, 1]], 769/537477120], [[[1, 5], [2, 4], [3, 3], [4, 2], [6, 3]], 156112981/3715041853440], [[[1, 5], [2, 4], [3, 3], [4, 2], [7, 1]], 2095/8026324992], [[[1, 5], [2, 4], [3, 3], [4, 2], [9, 1]], 55585/30958682112], [[[1, 5], [2, 4], [3, 3], [4, 2], [14, 1]], 17/42467328], [[[1, 5], [2, 4], [3, 3], [4, 2], [18, 1]], 2111/10319560704], [[[1, 5], [2, 4], [3, 3], [4, 3], [5, 1]], 53/119439360], [[[1, 5], [2, 4], [3, 3], [4, 3], [6, 2]], 5870075/330225942528], [[[1, 5], [2, 4], [3, 3], [4, 3], [8, 1]], 12103/9172942848], [[[1, 5], [2, 4], [3, 3], [4, 3], [10, 1]], 101/716636160], [[[1, 5], [2, 4], [3, 3], [4, 3], [12, 1]], 272609/165112971264], [[[1, 5], [2, 4], [3, 3], [4, 4], [6, 1]], 4187897/8255648563200], [[[1, 5], [2, 4], [3, 3], [5, 1], [6, 3]], 2228611/580475289600], [[[1, 5], [2, 4], [3, 3], [5, 1], [7, 1]], 47/11612160], [[[1, 5], [2, 4], [3, 3], [5, 1], [9, 1]], 47/11197440], [[[1, 5], [2, 4], [3, 3], [5, 1], [14, 1]], 727/130636800], [[[1, 5], [2, 4], [3, 3], [5, 1], [18, 1]], 373/125971200], [[[1, 5], [2, 4], [3, 3], [5, 2], [6, 1]], 983471/107495424000], [[[1, 5], [2, 4], [3, 3], [6, 1], [8, 2]], 305567/34398535680], [[[1, 5], [2, 4], [3, 3], [6, 1], [10, 2]], 27407/107495424000], [[[1, 5], [2, 4], [3, 3], [6, 1], [12, 2]], 539609/51597803520], [[[1, 5], [2, 4], [3, 3], [6, 1], [15, 1]], 19247/5374771200], [[[1, 5], [2, 4], [3, 3], [6, 1], [20, 1]], 19247/3583180800], [[[1, 5], [2, 4], [3, 3], [6, 1], [24, 1]], 62447/4299816960], [[[1, 5], [2, 4], [3, 3], [6, 1], [30, 1]], 19247/5374771200], [[[1, 5], [2, 4], [3, 3], [6, 2], [7, 1]], 15331/2579890176], [[[1, 5], [2, 4], [3, 3], [6, 2], [9, 1]], 12249979/1114512556032], [[[1, 5], [2, 4], [3, 3], [6, 2], [14, 1]], 26539/7524679680], [[[1, 5], [2, 4], [3, 3], [6, 2], [18, 1]], 8419/1934917632], [[[1, 5], [2, 4], [3, 3], [6, 3], [8, 1]], 409295/92876046336], [[[1, 5], [2, 4], [3, 3], [6, 3], [10, 1]], 9341/4031078400], [[[1, 5], [2, 4], [3, 3], [6, 3], [12, 1]], 740071/154793410560], [[[1, 5], [2, 4], [3, 3], [7, 1], [8, 1]], 313/83607552], [[[1, 5], [2, 4], [3, 3], [7, 1], [10, 1]], 13/43545600], [[[1, 5], [2, 4], [3, 3], [7, 1], [12, 1]], 463/111476736], [[[1, 5], [2, 4], [3, 3], [8, 1], [9, 1]], 1181/322486272], [[[1, 5], [2, 4], [3, 3], [8, 1], [14, 1]], 283/83607552], [[[1, 5], [2, 4], [3, 3], [8, 1], [18, 1]], 671/322486272], [[[1, 5], [2, 4], [3, 3], [9, 1], [10, 1]], 259/251942400], [[[1, 5], [2, 4], [3, 3], [9, 1], [12, 1]], 2393/764411904], [[[1, 5], [2, 4], [3, 3], [10, 1], [14, 1]], 17/104509440], [[[1, 5], [2, 4], [3, 3], [10, 1], [18, 1]], 1/8957952], [[[1, 5], [2, 4], [3, 3], [12, 1], [14, 1]], 631/139345920], [[[1, 5], [2, 4], [3, 3], [12, 1], [18, 1]], 349/134369280], [[[1, 5], [2, 4], [3, 4], [4, 1], [6, 3]], 157333301/37150418534400], [[[1, 5], [2, 4], [3, 4], [4, 1], [7, 1]], 901/4013162496], [[[1, 5], [2, 4], [3, 4], [4, 1], [9, 1]], 2383/2579890176], [[[1, 5], [2, 4], [3, 4], [4, 1], [14, 1]], 83513/401316249600], [[[1, 5], [2, 4], [3, 4], [4, 1], [18, 1]], 64271/515978035200], [[[1, 5], [2, 4], [3, 4], [4, 2], [5, 1]], 1526963/6879707136000], [[[1, 5], [2, 4], [3, 4], [4, 2], [6, 2]], 17910541/2972033482752], [[[1, 5], [2, 4], [3, 4], [4, 2], [8, 1]], 5012473/11007531417600], [[[1, 5], [2, 4], [3, 4], [4, 2], [10, 1]], 713581/6879707136000], [[[1, 5], [2, 4], [3, 4], [4, 2], [12, 1]], 3451781/4953389137920], [[[1, 5], [2, 4], [3, 4], [4, 3], [6, 1]], 6400141/16511297126400], [[[1, 5], [2, 4], [3, 4], [5, 1], [6, 2]], 2809307/967458816000], [[[1, 5], [2, 4], [3, 4], [5, 1], [8, 1]], 16561/8957952000], [[[1, 5], [2, 4], [3, 4], [5, 1], [10, 1]], 3527/24883200000], [[[1, 5], [2, 4], [3, 4], [5, 1], [12, 1]], 533/238878720], [[[1, 5], [2, 4], [3, 4], [6, 1], [7, 1]], 79711/60197437440], [[[1, 5], [2, 4], [3, 4], [6, 1], [9, 1]], 41999/15479341056], [[[1, 5], [2, 4], [3, 4], [6, 1], [14, 1]], 31207/30098718720], [[[1, 5], [2, 4], [3, 4], [6, 1], [18, 1]], 979643/1238347284480], [[[1, 5], [2, 4], [3, 4], [6, 2], [8, 1]], 111863/51597803520], [[[1, 5], [2, 4], [3, 4], [6, 2], [10, 1]], 6101/10749542400], [[[1, 5], [2, 4], [3, 4], [6, 2], [12, 1]], 252927937/59440669655040], [[[1, 5], [2, 4], [3, 4], [8, 1], [10, 1]], 2263/28665446400], [[[1, 5], [2, 4], [3, 4], [8, 1], [12, 1]], 821/429981696], [[[1, 5], [2, 4], [3, 4], [10, 1], [12, 1]], 37/134369280], [[[1, 5], [2, 4], [3, 5], [4, 1], [5, 1]], 1249/8957952000], [[[1, 5], [2, 4], [3, 5], [4, 1], [6, 2]], 23947/34398535680], [[[1, 5], [2, 4], [3, 5], [4, 1], [8, 1]], 90793/458647142400], [[[1, 5], [2, 4], [3, 5], [4, 1], [10, 1]], 247/7166361600], [[[1, 5], [2, 4], [3, 5], [4, 1], [12, 1]], 5191/17199267840], [[[1, 5], [2, 4], [3, 5], [4, 2], [6, 1]], 1184423/12383472844800], [[[1, 5], [2, 4], [3, 5], [5, 1], [6, 1]], 137729/214990848000], [[[1, 5], [2, 4], [3, 5], [6, 1], [8, 1]], 607/1274019840], [[[1, 5], [2, 4], [3, 5], [6, 1], [10, 1]], 1067/20155392000], [[[1, 5], [2, 4], [3, 5], [6, 1], [12, 1]], 1470799/1547934105600], [[[1, 5], [2, 4], [3, 6], [4, 1], [6, 1]], 1381799/37150418534400], [[[1, 5], [2, 4], [4, 1], [5, 1], [6, 5]], 7661/429981696000], [[[1, 5], [2, 4], [4, 1], [5, 2], [6, 3]], 22303/143327232000], [[[1, 5], [2, 4], [4, 1], [5, 2], [7, 1]], 1177/77414400], [[[1, 5], [2, 4], [4, 1], [5, 2], [9, 1]], 1321/149299200], [[[1, 5], [2, 4], [4, 1], [5, 2], [14, 1]], 3007/221184000], [[[1, 5], [2, 4], [4, 1], [5, 2], [18, 1]], 16783/1990656000], [[[1, 5], [2, 4], [4, 1], [5, 3], [6, 1]], 461/1658880000], [[[1, 5], [2, 4], [4, 1], [6, 1], [7, 2]], 1/64512], [[[1, 5], [2, 4], [4, 1], [6, 1], [8, 3]], 7433/339738624], [[[1, 5], [2, 4], [4, 1], [6, 1], [9, 2]], 5/1119744], [[[1, 5], [2, 4], [4, 1], [6, 1], [10, 3]], 3181/1105920000], [[[1, 5], [2, 4], [4, 1], [6, 1], [12, 3]], 6079/11466178560], [[[1, 5], [2, 4], [4, 1], [6, 1], [14, 2]], 1/200704], [[[1, 5], [2, 4], [4, 1], [6, 1], [18, 2]], 731/179159040], [[[1, 5], [2, 4], [4, 1], [6, 1], [28, 1]], 13/774144], [[[1, 5], [2, 4], [4, 1], [6, 1], [36, 1]], 13/995328], [[[1, 5], [2, 4], [4, 1], [6, 3], [8, 2]], 235411/45864714240], [[[1, 5], [2, 4], [4, 1], [6, 3], [10, 2]], 273631/143327232000], [[[1, 5], [2, 4], [4, 1], [6, 3], [12, 2]], 46565/13759414272], [[[1, 5], [2, 4], [4, 1], [6, 3], [15, 1]], 5791/7166361600], [[[1, 5], [2, 4], [4, 1], [6, 3], [16, 1]], 1/3981312], [[[1, 5], [2, 4], [4, 1], [6, 3], [20, 1]], 5791/4777574400], [[[1, 5], [2, 4], [4, 1], [6, 3], [24, 1]], 5791/5733089280], [[[1, 5], [2, 4], [4, 1], [6, 3], [30, 1]], 5791/7166361600], [[[1, 5], [2, 4], [4, 1], [6, 4], [7, 1]], 901/4013162496], [[[1, 5], [2, 4], [4, 1], [6, 4], [9, 1]], 805/7739670528], [[[1, 5], [2, 4], [4, 1], [6, 4], [14, 1]], 5759/57330892800], [[[1, 5], [2, 4], [4, 1], [6, 4], [18, 1]], 268711/515978035200], [[[1, 5], [2, 4], [4, 1], [6, 5], [8, 1]], 31817/275188285440], [[[1, 5], [2, 4], [4, 1], [6, 5], [10, 1]], 55303/859963392000], [[[1, 5], [2, 4], [4, 1], [6, 5], [12, 1]], 343063/2063912140800], [[[1, 5], [2, 4], [4, 1], [7, 1], [8, 2]], 1717/24772608], [[[1, 5], [2, 4], [4, 1], [7, 1], [10, 2]], 1177/77414400], [[[1, 5], [2, 4], [4, 1], [7, 1], [12, 2]], 25/37158912], [[[1, 5], [2, 4], [4, 1], [7, 1], [15, 1]], 5/774144], [[[1, 5], [2, 4], [4, 1], [7, 1], [16, 1]], 1/21504], [[[1, 5], [2, 4], [4, 1], [7, 1], [20, 1]], 5/516096], [[[1, 5], [2, 4], [4, 1], [7, 1], [24, 1]], 25/3096576], [[[1, 5], [2, 4], [4, 1], [7, 1], [30, 1]], 5/774144], [[[1, 5], [2, 4], [4, 1], [8, 2], [9, 1]], 1717/47775744], [[[1, 5], [2, 4], [4, 1], [8, 2], [14, 1]], 2899/70778880], [[[1, 5], [2, 4], [4, 1], [8, 2], [18, 1]], 18211/637009920], [[[1, 5], [2, 4], [4, 1], [9, 1], [10, 2]], 1033/149299200], [[[1, 5], [2, 4], [4, 1], [9, 1], [12, 2]], 25/71663616], [[[1, 5], [2, 4], [4, 1], [9, 1], [15, 1]], 5/1492992], [[[1, 5], [2, 4], [4, 1], [9, 1], [16, 1]], 1/41472], [[[1, 5], [2, 4], [4, 1], [9, 1], [20, 1]], 5/995328], [[[1, 5], [2, 4], [4, 1], [9, 1], [24, 1]], 25/5971968], [[[1, 5], [2, 4], [4, 1], [9, 1], [30, 1]], 5/1492992], [[[1, 5], [2, 4], [4, 1], [10, 2], [14, 1]], 1279/221184000], [[[1, 5], [2, 4], [4, 1], [10, 2], [18, 1]], 8911/1990656000], [[[1, 5], [2, 4], [4, 1], [12, 2], [14, 1]], 313/743178240], [[[1, 5], [2, 4], [4, 1], [12, 2], [18, 1]], 271/955514880], [[[1, 5], [2, 4], [4, 1], [14, 1], [15, 1]], 313/77414400], [[[1, 5], [2, 4], [4, 1], [14, 1], [16, 1]], 1/43008], [[[1, 5], [2, 4], [4, 1], [14, 1], [20, 1]], 313/51609600], [[[1, 5], [2, 4], [4, 1], [14, 1], [24, 1]], 313/61931520], [[[1, 5], [2, 4], [4, 1], [14, 1], [30, 1]], 313/77414400], [[[1, 5], [2, 4], [4, 1], [15, 1], [18, 1]], 271/99532800], [[[1, 5], [2, 4], [4, 1], [16, 1], [18, 1]], 1/55296], [[[1, 5], [2, 4], [4, 1], [18, 1], [20, 1]], 271/66355200], [[[1, 5], [2, 4], [4, 1], [18, 1], [24, 1]], 271/79626240], [[[1, 5], [2, 4], [4, 1], [18, 1], [30, 1]], 271/99532800], [[[1, 5], [2, 4], [4, 2], [5, 1], [6, 4]], 451523/6879707136000], [[[1, 5], [2, 4], [4, 2], [5, 1], [8, 2]], 930871/8493465600], [[[1, 5], [2, 4], [4, 2], [5, 1], [10, 2]], 2616643/26542080000], [[[1, 5], [2, 4], [4, 2], [5, 1], [12, 2]], 352963/12740198400], [[[1, 5], [2, 4], [4, 2], [5, 1], [15, 1]], 7363/1327104000], [[[1, 5], [2, 4], [4, 2], [5, 1], [16, 1]], 1/10240], [[[1, 5], [2, 4], [4, 2], [5, 1], [20, 1]], 64963/884736000], [[[1, 5], [2, 4], [4, 2], [5, 1], [24, 1]], 7363/1061683200], [[[1, 5], [2, 4], [4, 2], [5, 1], [30, 1]], 7363/1327104000], [[[1, 5], [2, 4], [4, 2], [5, 2], [6, 2]], 36649/57330892800], [[[1, 5], [2, 4], [4, 2], [5, 2], [8, 1]], 1120889/42467328000], [[[1, 5], [2, 4], [4, 2], [5, 2], [10, 1]], 3340781/26542080000], [[[1, 5], [2, 4], [4, 2], [5, 2], [12, 1]], 236353/19110297600], [[[1, 5], [2, 4], [4, 2], [6, 2], [8, 2]], 504829/18345885696], [[[1, 5], [2, 4], [4, 2], [6, 2], [10, 2]], 245953/57330892800], [[[1, 5], [2, 4], [4, 2], [6, 2], [12, 2]], 166859/13759414272], [[[1, 5], [2, 4], [4, 2], [6, 2], [15, 1]], 1109/573308928], [[[1, 5], [2, 4], [4, 2], [6, 2], [16, 1]], 1/73728], [[[1, 5], [2, 4], [4, 2], [6, 2], [20, 1]], 26281/1911029760], [[[1, 5], [2, 4], [4, 2], [6, 2], [24, 1]], 5545/2293235712], [[[1, 5], [2, 4], [4, 2], [6, 2], [30, 1]], 1109/573308928], [[[1, 5], [2, 4], [4, 2], [6, 3], [7, 1]], 2095/8026324992], [[[1, 5], [2, 4], [4, 2], [6, 3], [9, 1]], 1055/10319560704], [[[1, 5], [2, 4], [4, 2], [6, 3], [14, 1]], 575/8026324992], [[[1, 5], [2, 4], [4, 2], [6, 3], [18, 1]], 34915/30958682112], [[[1, 5], [2, 4], [4, 2], [6, 4], [8, 1]], 2950873/11007531417600], [[[1, 5], [2, 4], [4, 2], [6, 4], [10, 1]], 658141/6879707136000], [[[1, 5], [2, 4], [4, 2], [6, 4], [12, 1]], 1940141/4953389137920], [[[1, 5], [2, 4], [4, 2], [7, 1], [9, 1]], 1231/111476736], [[[1, 5], [2, 4], [4, 2], [7, 1], [14, 1]], 1457/9633792], [[[1, 5], [2, 4], [4, 2], [7, 1], [18, 1]], 1231/111476736], [[[1, 5], [2, 4], [4, 2], [8, 1], [10, 2]], 771833/42467328000], [[[1, 5], [2, 4], [4, 2], [8, 1], [12, 2]], 898553/20384317440], [[[1, 5], [2, 4], [4, 2], [8, 1], [15, 1]], 46073/2123366400], [[[1, 5], [2, 4], [4, 2], [8, 1], [16, 1]], 28537/113246208], [[[1, 5], [2, 4], [4, 2], [8, 1], [20, 1]], 174713/1415577600], [[[1, 5], [2, 4], [4, 2], [8, 1], [24, 1]], 142073/1698693120], [[[1, 5], [2, 4], [4, 2], [8, 1], [30, 1]], 46073/2123366400], [[[1, 5], [2, 4], [4, 2], [8, 2], [10, 1]], 662489/8493465600], [[[1, 5], [2, 4], [4, 2], [8, 2], [12, 1]], 775789/6115295232], [[[1, 5], [2, 4], [4, 2], [9, 1], [14, 1]], 101/12386304], [[[1, 5], [2, 4], [4, 2], [9, 1], [18, 1]], 9299/143327232], [[[1, 5], [2, 4], [4, 2], [10, 1], [12, 2]], 213101/12740198400], [[[1, 5], [2, 4], [4, 2], [10, 1], [15, 1]], 5741/1327104000], [[[1, 5], [2, 4], [4, 2], [10, 1], [16, 1]], 1/15360], [[[1, 5], [2, 4], [4, 2], [10, 1], [20, 1]], 40301/884736000], [[[1, 5], [2, 4], [4, 2], [10, 1], [24, 1]], 5741/1061683200], [[[1, 5], [2, 4], [4, 2], [10, 1], [30, 1]], 5741/1327104000], [[[1, 5], [2, 4], [4, 2], [10, 2], [12, 1]], 27917/3822059520], [[[1, 5], [2, 4], [4, 2], [12, 1], [15, 1]], 4801/955514880], [[[1, 5], [2, 4], [4, 2], [12, 1], [16, 1]], 49/884736], [[[1, 5], [2, 4], [4, 2], [12, 1], [20, 1]], 19789/637009920], [[[1, 5], [2, 4], [4, 2], [12, 1], [24, 1]], 26695/764411904], [[[1, 5], [2, 4], [4, 2], [12, 1], [30, 1]], 4801/955514880], [[[1, 5], [2, 4], [4, 2], [14, 1], [18, 1]], 575/111476736], [[[1, 5], [2, 4], [4, 3], [5, 1], [6, 3]], 3019/57330892800], [[[1, 5], [2, 4], [4, 3], [5, 1], [7, 1]], 19/2064384], [[[1, 5], [2, 4], [4, 3], [5, 1], [9, 1]], 1/207360], [[[1, 5], [2, 4], [4, 3], [5, 1], [14, 1]], 1079/206438400], [[[1, 5], [2, 4], [4, 3], [5, 1], [18, 1]], 3019/796262400], [[[1, 5], [2, 4], [4, 3], [5, 2], [6, 1]], 140173/63700992000], [[[1, 5], [2, 4], [4, 3], [6, 1], [8, 2]], 1674631/20384317440], [[[1, 5], [2, 4], [4, 3], [6, 1], [10, 2]], 270781/63700992000], [[[1, 5], [2, 4], [4, 3], [6, 1], [12, 2]], 971197/30576476160], [[[1, 5], [2, 4], [4, 3], [6, 1], [15, 1]], 6541/3185049600], [[[1, 5], [2, 4], [4, 3], [6, 1], [16, 1]], 517/10616832], [[[1, 5], [2, 4], [4, 3], [6, 1], [20, 1]], 95501/2123366400], [[[1, 5], [2, 4], [4, 3], [6, 1], [24, 1]], 6541/2548039680], [[[1, 5], [2, 4], [4, 3], [6, 1], [30, 1]], 6541/3185049600], [[[1, 5], [2, 4], [4, 3], [6, 2], [7, 1]], 1/1548288], [[[1, 5], [2, 4], [4, 3], [6, 2], [9, 1]], 17/71663616], [[[1, 5], [2, 4], [4, 3], [6, 2], [14, 1]], 5/37158912], [[[1, 5], [2, 4], [4, 3], [6, 2], [18, 1]], 7141/5733089280], [[[1, 5], [2, 4], [4, 3], [6, 3], [8, 1]], 12299/18345885696], [[[1, 5], [2, 4], [4, 3], [6, 3], [10, 1]], 1291/11466178560], [[[1, 5], [2, 4], [4, 3], [6, 3], [12, 1]], 48121/55037657088], [[[1, 5], [2, 4], [4, 3], [7, 1], [8, 1]], 6847/66060288], [[[1, 5], [2, 4], [4, 3], [7, 1], [10, 1]], 19/2064384], [[[1, 5], [2, 4], [4, 3], [7, 1], [12, 1]], 887/18579456], [[[1, 5], [2, 4], [4, 3], [8, 1], [9, 1]], 6847/127401984], [[[1, 5], [2, 4], [4, 3], [8, 1], [14, 1]], 895/16515072], [[[1, 5], [2, 4], [4, 3], [8, 1], [18, 1]], 10427/254803968], [[[1, 5], [2, 4], [4, 3], [9, 1], [10, 1]], 47/9953280], [[[1, 5], [2, 4], [4, 3], [9, 1], [12, 1]], 887/35831808], [[[1, 5], [2, 4], [4, 3], [10, 1], [14, 1]], 199/41287680], [[[1, 5], [2, 4], [4, 3], [10, 1], [18, 1]], 571/159252480], [[[1, 5], [2, 4], [4, 3], [12, 1], [14, 1]], 1313/53084160], [[[1, 5], [2, 4], [4, 3], [12, 1], [18, 1]], 8977/477757440], [[[1, 5], [2, 4], [4, 4], [5, 1], [6, 2]], 1717/17915904000], [[[1, 5], [2, 4], [4, 4], [5, 1], [8, 1]], 1878431/42467328000], [[[1, 5], [2, 4], [4, 4], [5, 1], [10, 1]], 789931/22118400000], [[[1, 5], [2, 4], [4, 4], [5, 1], [12, 1]], 73783/3185049600], [[[1, 5], [2, 4], [4, 4], [6, 1], [7, 1]], 17161/17836277760], [[[1, 5], [2, 4], [4, 4], [6, 1], [9, 1]], 9349/22932357120], [[[1, 5], [2, 4], [4, 4], [6, 1], [14, 1]], 3097/8918138880], [[[1, 5], [2, 4], [4, 4], [6, 1], [18, 1]], 1654499/1100753141760], [[[1, 5], [2, 4], [4, 4], [6, 2], [8, 1]], 8741/5096079360], [[[1, 5], [2, 4], [4, 4], [6, 2], [10, 1]], 2453/9555148800], [[[1, 5], [2, 4], [4, 4], [6, 2], [12, 1]], 37654057/17612050268160], [[[1, 5], [2, 4], [4, 4], [8, 1], [10, 1]], 174499/4246732800], [[[1, 5], [2, 4], [4, 4], [8, 1], [12, 1]], 182147/1274019840], [[[1, 5], [2, 4], [4, 4], [10, 1], [12, 1]], 65681/3185049600], [[[1, 5], [2, 4], [4, 5], [5, 1], [6, 1]], 28931/127401984000], [[[1, 5], [2, 4], [4, 5], [6, 1], [8, 1]], 425983/81537269760], [[[1, 5], [2, 4], [4, 5], [6, 1], [10, 1]], 46951/84934656000], [[[1, 5], [2, 4], [4, 5], [6, 1], [12, 1]], 2640943/611529523200], [[[1, 5], [2, 4], [5, 1], [6, 2], [8, 2]], 187/74649600], [[[1, 5], [2, 4], [5, 1], [6, 2], [10, 2]], 533/186624000], [[[1, 5], [2, 4], [5, 1], [6, 2], [12, 2]], 1387/447897600], [[[1, 5], [2, 4], [5, 1], [6, 2], [15, 1]], 73/46656000], [[[1, 5], [2, 4], [5, 1], [6, 2], [20, 1]], 73/31104000], [[[1, 5], [2, 4], [5, 1], [6, 2], [24, 1]], 73/37324800], [[[1, 5], [2, 4], [5, 1], [6, 2], [30, 1]], 73/46656000], [[[1, 5], [2, 4], [5, 1], [6, 3], [7, 1]], 13/43545600], [[[1, 5], [2, 4], [5, 1], [6, 3], [9, 1]], 41/251942400], [[[1, 5], [2, 4], [5, 1], [6, 3], [14, 1]], 1/4354560], [[[1, 5], [2, 4], [5, 1], [6, 3], [18, 1]], 511/503884800], [[[1, 5], [2, 4], [5, 1], [6, 4], [8, 1]], 871/8957952000], [[[1, 5], [2, 4], [5, 1], [6, 4], [10, 1]], 101/921600000], [[[1, 5], [2, 4], [5, 1], [6, 4], [12, 1]], 73/268738560], [[[1, 5], [2, 4], [5, 1], [7, 1], [9, 1]], 1/53760], [[[1, 5], [2, 4], [5, 1], [7, 1], [14, 1]], 71/313600], [[[1, 5], [2, 4], [5, 1], [7, 1], [18, 1]], 13/604800], [[[1, 5], [2, 4], [5, 1], [8, 1], [10, 2]], 11/34560000], [[[1, 5], [2, 4], [5, 1], [8, 1], [12, 2]], 11/16588800], [[[1, 5], [2, 4], [5, 1], [8, 1], [15, 1]], 11/1728000], [[[1, 5], [2, 4], [5, 1], [8, 1], [16, 1]], 1/24576], [[[1, 5], [2, 4], [5, 1], [8, 1], [20, 1]], 11/1152000], [[[1, 5], [2, 4], [5, 1], [8, 1], [24, 1]], 11/1382400], [[[1, 5], [2, 4], [5, 1], [8, 1], [30, 1]], 11/1728000], [[[1, 5], [2, 4], [5, 1], [8, 2], [10, 1]], 181/92160000], [[[1, 5], [2, 4], [5, 1], [9, 1], [14, 1]], 37/1814400], [[[1, 5], [2, 4], [5, 1], [9, 1], [18, 1]], 839/13996800], [[[1, 5], [2, 4], [5, 1], [10, 1], [12, 2]], 181/138240000], [[[1, 5], [2, 4], [5, 1], [10, 1], [15, 1]], 181/14400000], [[[1, 5], [2, 4], [5, 1], [10, 1], [20, 1]], 181/9600000], [[[1, 5], [2, 4], [5, 1], [10, 1], [24, 1]], 181/11520000], [[[1, 5], [2, 4], [5, 1], [10, 1], [30, 1]], 181/14400000], [[[1, 5], [2, 4], [5, 1], [14, 1], [18, 1]], 1/60480], [[[1, 5], [2, 4], [5, 2], [6, 1], [7, 1]], 31/232243200], [[[1, 5], [2, 4], [5, 2], [6, 1], [9, 1]], 19/298598400], [[[1, 5], [2, 4], [5, 2], [6, 1], [14, 1]], 1/16588800], [[[1, 5], [2, 4], [5, 2], [6, 1], [18, 1]], 24881/14332723200], [[[1, 5], [2, 4], [5, 2], [6, 2], [8, 1]], 1/11059200], [[[1, 5], [2, 4], [5, 2], [6, 2], [10, 1]], 1/15552000], [[[1, 5], [2, 4], [5, 2], [6, 2], [12, 1]], 26801/76441190400], [[[1, 5], [2, 4], [5, 2], [8, 1], [10, 1]], 23/110592000], [[[1, 5], [2, 4], [6, 1], [7, 1], [8, 2]], 1039/74317824], [[[1, 5], [2, 4], [6, 1], [7, 1], [10, 2]], 457/33177600], [[[1, 5], [2, 4], [6, 1], [7, 1], [12, 2]], 31/111476736], [[[1, 5], [2, 4], [6, 1], [7, 1], [15, 1]], 31/11612160], [[[1, 5], [2, 4], [6, 1], [7, 1], [20, 1]], 31/7741440], [[[1, 5], [2, 4], [6, 1], [7, 1], [24, 1]], 31/9289728], [[[1, 5], [2, 4], [6, 1], [7, 1], [30, 1]], 31/11612160], [[[1, 5], [2, 4], [6, 1], [8, 2], [9, 1]], 691/95551488], [[[1, 5], [2, 4], [6, 1], [8, 2], [14, 1]], 295/37158912], [[[1, 5], [2, 4], [6, 1], [8, 2], [18, 1]], 34385/4586471424], [[[1, 5], [2, 4], [6, 1], [9, 1], [10, 2]], 1651/298598400], [[[1, 5], [2, 4], [6, 1], [9, 1], [12, 2]], 19/143327232], [[[1, 5], [2, 4], [6, 1], [9, 1], [15, 1]], 19/14929920], [[[1, 5], [2, 4], [6, 1], [9, 1], [20, 1]], 19/9953280], [[[1, 5], [2, 4], [6, 1], [9, 1], [24, 1]], 19/11943936], [[[1, 5], [2, 4], [6, 1], [9, 1], [30, 1]], 19/14929920], [[[1, 5], [2, 4], [6, 1], [10, 2], [14, 1]], 439/116121600], [[[1, 5], [2, 4], [6, 1], [10, 2], [18, 1]], 52529/14332723200], [[[1, 5], [2, 4], [6, 1], [12, 2], [14, 1]], 1/7962624], [[[1, 5], [2, 4], [6, 1], [12, 2], [18, 1]], 689/6879707136], [[[1, 5], [2, 4], [6, 1], [14, 1], [15, 1]], 1/829440], [[[1, 5], [2, 4], [6, 1], [14, 1], [20, 1]], 1/552960], [[[1, 5], [2, 4], [6, 1], [14, 1], [24, 1]], 1/663552], [[[1, 5], [2, 4], [6, 1], [14, 1], [30, 1]], 1/829440], [[[1, 5], [2, 4], [6, 1], [15, 1], [18, 1]], 689/716636160], [[[1, 5], [2, 4], [6, 1], [18, 1], [20, 1]], 689/477757440], [[[1, 5], [2, 4], [6, 1], [18, 1], [24, 1]], 689/573308928], [[[1, 5], [2, 4], [6, 1], [18, 1], [30, 1]], 689/716636160], [[[1, 5], [2, 4], [6, 2], [7, 1], [9, 1]], 47/7838208], [[[1, 5], [2, 4], [6, 2], [7, 1], [14, 1]], 53/1354752], [[[1, 5], [2, 4], [6, 2], [7, 1], [18, 1]], 139/20901888], [[[1, 5], [2, 4], [6, 2], [8, 1], [10, 2]], 43/11059200], [[[1, 5], [2, 4], [6, 2], [8, 1], [12, 2]], 25/10616832], [[[1, 5], [2, 4], [6, 2], [8, 1], [15, 1]], 1/552960], [[[1, 5], [2, 4], [6, 2], [8, 1], [16, 1]], 1/147456], [[[1, 5], [2, 4], [6, 2], [8, 1], [20, 1]], 1/368640], [[[1, 5], [2, 4], [6, 2], [8, 1], [24, 1]], 1/442368], [[[1, 5], [2, 4], [6, 2], [8, 1], [30, 1]], 1/552960], [[[1, 5], [2, 4], [6, 2], [8, 2], [10, 1]], 103/19906560], [[[1, 5], [2, 4], [6, 2], [8, 2], [12, 1]], 112337/24461180928], [[[1, 5], [2, 4], [6, 2], [9, 1], [14, 1]], 17/5225472], [[[1, 5], [2, 4], [6, 2], [9, 1], [18, 1]], 295/26873856], [[[1, 5], [2, 4], [6, 2], [10, 1], [12, 2]], 89/59719680], [[[1, 5], [2, 4], [6, 2], [10, 1], [15, 1]], 1/777600], [[[1, 5], [2, 4], [6, 2], [10, 1], [20, 1]], 1/518400], [[[1, 5], [2, 4], [6, 2], [10, 1], [24, 1]], 1/622080], [[[1, 5], [2, 4], [6, 2], [10, 1], [30, 1]], 1/777600], [[[1, 5], [2, 4], [6, 2], [10, 2], [12, 1]], 35773/15288238080], [[[1, 5], [2, 4], [6, 2], [12, 1], [15, 1]], 2609/3822059520], [[[1, 5], [2, 4], [6, 2], [12, 1], [20, 1]], 2609/2548039680], [[[1, 5], [2, 4], [6, 2], [12, 1], [24, 1]], 2609/3057647616], [[[1, 5], [2, 4], [6, 2], [12, 1], [30, 1]], 2609/3822059520], [[[1, 5], [2, 4], [6, 2], [14, 1], [18, 1]], 25/10450944], [[[1, 5], [2, 4], [6, 3], [7, 1], [8, 1]], 313/83607552], [[[1, 5], [2, 4], [6, 3], [7, 1], [10, 1]], 47/11612160], [[[1, 5], [2, 4], [6, 3], [7, 1], [12, 1]], 463/111476736], [[[1, 5], [2, 4], [6, 3], [8, 1], [9, 1]], 551/322486272], [[[1, 5], [2, 4], [6, 3], [8, 1], [14, 1]], 241/167215104], [[[1, 5], [2, 4], [6, 3], [8, 1], [18, 1]], 455/214990848], [[[1, 5], [2, 4], [6, 3], [9, 1], [10, 1]], 73/44789760], [[[1, 5], [2, 4], [6, 3], [9, 1], [12, 1]], 259/143327232], [[[1, 5], [2, 4], [6, 3], [10, 1], [14, 1]], 13/11612160], [[[1, 5], [2, 4], [6, 3], [10, 1], [18, 1]], 71/44789760], [[[1, 5], [2, 4], [6, 3], [12, 1], [14, 1]], 79/55738368], [[[1, 5], [2, 4], [6, 3], [12, 1], [18, 1]], 1129/764411904], [[[1, 5], [2, 4], [6, 4], [8, 1], [10, 1]], 20743/28665446400], [[[1, 5], [2, 4], [6, 4], [8, 1], [12, 1]], 293/286654464], [[[1, 5], [2, 4], [6, 4], [10, 1], [12, 1]], 47/59719680], [[[1, 5], [2, 4], [7, 1], [8, 1], [9, 1]], 25/1161216], [[[1, 5], [2, 4], [7, 1], [8, 1], [14, 1]], 5/25088], [[[1, 5], [2, 4], [7, 1], [8, 1], [18, 1]], 25/1161216], [[[1, 5], [2, 4], [7, 1], [9, 1], [10, 1]], 13/604800], [[[1, 5], [2, 4], [7, 1], [10, 1], [14, 1]], 53/376320], [[[1, 5], [2, 4], [7, 1], [10, 1], [18, 1]], 1/53760], [[[1, 5], [2, 4], [8, 1], [9, 1], [14, 1]], 19/1161216], [[[1, 5], [2, 4], [8, 1], [9, 1], [18, 1]], 59/1119744], [[[1, 5], [2, 4], [8, 1], [10, 1], [12, 2]], 23/53084160], [[[1, 5], [2, 4], [8, 1], [10, 1], [15, 1]], 23/5529600], [[[1, 5], [2, 4], [8, 1], [10, 1], [16, 1]], 1/40960], [[[1, 5], [2, 4], [8, 1], [10, 1], [20, 1]], 23/3686400], [[[1, 5], [2, 4], [8, 1], [10, 1], [24, 1]], 23/4423680], [[[1, 5], [2, 4], [8, 1], [10, 1], [30, 1]], 23/5529600], [[[1, 5], [2, 4], [8, 1], [14, 1], [18, 1]], 25/2322432], [[[1, 5], [2, 4], [9, 1], [10, 1], [14, 1]], 17/1451520], [[[1, 5], [2, 4], [9, 1], [10, 1], [18, 1]], 23/622080], [[[1, 5], [2, 4], [10, 1], [14, 1], [18, 1]], 1/161280], [[[1, 5], [2, 6], [3, 1], [4, 1], [6, 5]], 3694019/8255648563200], [[[1, 5], [2, 6], [3, 1], [4, 2], [5, 2]], 1901441/382205952000], [[[1, 5], [2, 6], [3, 1], [4, 2], [6, 4]], 132917473/99067782758400], [[[1, 5], [2, 6], [3, 1], [4, 2], [8, 2]], 4191797/122305904640], [[[1, 5], [2, 6], [3, 1], [4, 2], [10, 2]], 311917/76441190400], [[[1, 5], [2, 6], [3, 1], [4, 2], [12, 2]], 1091369/183458856960], [[[1, 5], [2, 6], [3, 1], [4, 2], [15, 1]], 29153/19110297600], [[[1, 5], [2, 6], [3, 1], [4, 2], [16, 1]], 1/65536], [[[1, 5], [2, 6], [3, 1], [4, 2], [20, 1]], 104033/12740198400], [[[1, 5], [2, 6], [3, 1], [4, 2], [24, 1]], 29153/15288238080], [[[1, 5], [2, 6], [3, 1], [4, 2], [30, 1]], 29153/19110297600], [[[1, 5], [2, 6], [3, 1], [4, 3], [6, 3]], 48755/10319560704], [[[1, 5], [2, 6], [3, 1], [4, 3], [7, 1]], 979/371589120], [[[1, 5], [2, 6], [3, 1], [4, 3], [9, 1]], 234919/91729428480], [[[1, 5], [2, 6], [3, 1], [4, 3], [14, 1]], 3779/743178240], [[[1, 5], [2, 6], [3, 1], [4, 3], [18, 1]], 14099/5733089280], [[[1, 5], [2, 6], [3, 1], [4, 4], [5, 1]], 17457661/6115295232000], [[[1, 5], [2, 6], [3, 1], [4, 4], [6, 2]], 101326001/10567230160896], [[[1, 5], [2, 6], [3, 1], [4, 4], [8, 1]], 19837919/978447237120], [[[1, 5], [2, 6], [3, 1], [4, 4], [10, 1]], 6917959/3822059520000], [[[1, 5], [2, 6], [3, 1], [4, 4], [12, 1]], 151547491/14676708556800], [[[1, 5], [2, 6], [3, 1], [4, 5], [6, 1]], 592147/90596966400], [[[1, 5], [2, 6], [3, 1], [5, 1], [6, 4]], 1289959/2293235712000], [[[1, 5], [2, 6], [3, 1], [5, 1], [8, 2]], 119311/25480396800], [[[1, 5], [2, 6], [3, 1], [5, 1], [10, 2]], 221983/79626240000], [[[1, 5], [2, 6], [3, 1], [5, 1], [12, 2]], 1951/38220595200], [[[1, 5], [2, 6], [3, 1], [5, 1], [15, 1]], 1951/3981312000], [[[1, 5], [2, 6], [3, 1], [5, 1], [20, 1]], 1951/2654208000], [[[1, 5], [2, 6], [3, 1], [5, 1], [24, 1]], 1951/3185049600], [[[1, 5], [2, 6], [3, 1], [5, 1], [30, 1]], 1951/3981312000], [[[1, 5], [2, 6], [3, 1], [5, 2], [6, 2]], 4558211/3439853568000], [[[1, 5], [2, 6], [3, 1], [5, 2], [8, 1]], 40757/12740198400], [[[1, 5], [2, 6], [3, 1], [5, 2], [10, 1]], 365077/49766400000], [[[1, 5], [2, 6], [3, 1], [5, 2], [12, 1]], 17369/21233664000], [[[1, 5], [2, 6], [3, 1], [6, 2], [8, 2]], 2296951/220150628352], [[[1, 5], [2, 6], [3, 1], [6, 2], [10, 2]], 38620547/3439853568000], [[[1, 5], [2, 6], [3, 1], [6, 2], [12, 2]], 3608981/1651129712640], [[[1, 5], [2, 6], [3, 1], [6, 2], [15, 1]], 12155/6879707136], [[[1, 5], [2, 6], [3, 1], [6, 2], [20, 1]], 12155/4586471424], [[[1, 5], [2, 6], [3, 1], [6, 2], [24, 1]], 185191/27518828544], [[[1, 5], [2, 6], [3, 1], [6, 2], [30, 1]], 12155/6879707136], [[[1, 5], [2, 6], [3, 1], [6, 3], [7, 1]], 3769/627056640], [[[1, 5], [2, 6], [3, 1], [6, 3], [9, 1]], 852917/232190115840], [[[1, 5], [2, 6], [3, 1], [6, 3], [14, 1]], 9733/1504935936], [[[1, 5], [2, 6], [3, 1], [6, 3], [18, 1]], 4316617/928760463360], [[[1, 5], [2, 6], [3, 1], [6, 4], [8, 1]], 612859/220150628352], [[[1, 5], [2, 6], [3, 1], [6, 4], [10, 1]], 44057909/12899450880000], [[[1, 5], [2, 6], [3, 1], [6, 4], [12, 1]], 155414011/49533891379200], [[[1, 5], [2, 6], [3, 1], [7, 1], [9, 1]], 3751/3344302080], [[[1, 5], [2, 6], [3, 1], [7, 1], [14, 1]], 227/10838016], [[[1, 5], [2, 6], [3, 1], [7, 1], [18, 1]], 73/41803776], [[[1, 5], [2, 6], [3, 1], [8, 1], [10, 2]], 24629/12740198400], [[[1, 5], [2, 6], [3, 1], [8, 1], [12, 2]], 437/6115295232], [[[1, 5], [2, 6], [3, 1], [8, 1], [15, 1]], 437/637009920], [[[1, 5], [2, 6], [3, 1], [8, 1], [16, 1]], 13/3538944], [[[1, 5], [2, 6], [3, 1], [8, 1], [20, 1]], 437/424673280], [[[1, 5], [2, 6], [3, 1], [8, 1], [24, 1]], 437/509607936], [[[1, 5], [2, 6], [3, 1], [8, 1], [30, 1]], 437/637009920], [[[1, 5], [2, 6], [3, 1], [8, 2], [10, 1]], 65269/15925248000], [[[1, 5], [2, 6], [3, 1], [8, 2], [12, 1]], 15049/6794772480], [[[1, 5], [2, 6], [3, 1], [9, 1], [14, 1]], 905/334430208], [[[1, 5], [2, 6], [3, 1], [9, 1], [18, 1]], 3605/644972544], [[[1, 5], [2, 6], [3, 1], [10, 1], [12, 2]], 1909/23887872000], [[[1, 5], [2, 6], [3, 1], [10, 1], [15, 1]], 1909/2488320000], [[[1, 5], [2, 6], [3, 1], [10, 1], [20, 1]], 1909/1658880000], [[[1, 5], [2, 6], [3, 1], [10, 1], [24, 1]], 1909/1990656000], [[[1, 5], [2, 6], [3, 1], [10, 1], [30, 1]], 1909/2488320000], [[[1, 5], [2, 6], [3, 1], [10, 2], [12, 1]], 5713/2359296000], [[[1, 5], [2, 6], [3, 1], [12, 1], [15, 1]], 89/1061683200], [[[1, 5], [2, 6], [3, 1], [12, 1], [20, 1]], 89/707788800], [[[1, 5], [2, 6], [3, 1], [12, 1], [24, 1]], 89/849346560], [[[1, 5], [2, 6], [3, 1], [12, 1], [30, 1]], 89/1061683200], [[[1, 5], [2, 6], [3, 1], [14, 1], [18, 1]], 589/209018880], [[[1, 5], [2, 6], [3, 2], [4, 1], [5, 2]], 30023/9555148800], [[[1, 5], [2, 6], [3, 2], [4, 1], [6, 4]], 80145647/12383472844800], [[[1, 5], [2, 6], [3, 2], [4, 1], [8, 2]], 132067/15288238080], [[[1, 5], [2, 6], [3, 2], [4, 1], [10, 2]], 57931/47775744000], [[[1, 5], [2, 6], [3, 2], [4, 1], [12, 2]], 74441/45864714240], [[[1, 5], [2, 6], [3, 2], [4, 1], [15, 1]], 1867/2388787200], [[[1, 5], [2, 6], [3, 2], [4, 1], [16, 1]], 1/442368], [[[1, 5], [2, 6], [3, 2], [4, 1], [20, 1]], 1867/1592524800], [[[1, 5], [2, 6], [3, 2], [4, 1], [24, 1]], 1867/1911029760], [[[1, 5], [2, 6], [3, 2], [4, 1], [30, 1]], 1867/2388787200], [[[1, 5], [2, 6], [3, 2], [4, 2], [6, 3]], 226610233/11888133931008], [[[1, 5], [2, 6], [3, 2], [4, 2], [7, 1]], 1651/668860416], [[[1, 5], [2, 6], [3, 2], [4, 2], [9, 1]], 88133/34398535680], [[[1, 5], [2, 6], [3, 2], [4, 2], [14, 1]], 3485/668860416], [[[1, 5], [2, 6], [3, 2], [4, 2], [18, 1]], 12515/5159780352], [[[1, 5], [2, 6], [3, 2], [4, 3], [5, 1]], 52121/19110297600], [[[1, 5], [2, 6], [3, 2], [4, 3], [6, 2]], 906060367/26418075402240], [[[1, 5], [2, 6], [3, 2], [4, 3], [8, 1]], 156943/15288238080], [[[1, 5], [2, 6], [3, 2], [4, 3], [10, 1]], 3461/2123366400], [[[1, 5], [2, 6], [3, 2], [4, 3], [12, 1]], 8449157/1467670855680], [[[1, 5], [2, 6], [3, 2], [4, 4], [6, 1]], 4251136589/594406696550400], [[[1, 5], [2, 6], [3, 2], [5, 1], [6, 3]], 5102287/1289945088000], [[[1, 5], [2, 6], [3, 2], [5, 1], [7, 1]], 11/7741440], [[[1, 5], [2, 6], [3, 2], [5, 1], [9, 1]], 1079/796262400], [[[1, 5], [2, 6], [3, 2], [5, 1], [14, 1]], 1/221184], [[[1, 5], [2, 6], [3, 2], [5, 1], [18, 1]], 169/89579520], [[[1, 5], [2, 6], [3, 2], [5, 2], [6, 1]], 42252191/7739670528000], [[[1, 5], [2, 6], [3, 2], [6, 1], [8, 2]], 23984639/2476694568960], [[[1, 5], [2, 6], [3, 2], [6, 1], [10, 2]], 15532127/7739670528000], [[[1, 5], [2, 6], [3, 2], [6, 1], [12, 2]], 6344441/3715041853440], [[[1, 5], [2, 6], [3, 2], [6, 1], [15, 1]], 539999/386983526400], [[[1, 5], [2, 6], [3, 2], [6, 1], [20, 1]], 539999/257989017600], [[[1, 5], [2, 6], [3, 2], [6, 1], [24, 1]], 1550879/309586821120], [[[1, 5], [2, 6], [3, 2], [6, 1], [30, 1]], 539999/386983526400], [[[1, 5], [2, 6], [3, 2], [6, 2], [7, 1]], 2699353/137594142720], [[[1, 5], [2, 6], [3, 2], [6, 2], [9, 1]], 17425007/1238347284480], [[[1, 5], [2, 6], [3, 2], [6, 2], [14, 1]], 2973305/96315899904], [[[1, 5], [2, 6], [3, 2], [6, 2], [18, 1]], 46759571/2786281390080], [[[1, 5], [2, 6], [3, 2], [6, 3], [8, 1]], 63138539/4953389137920], [[[1, 5], [2, 6], [3, 2], [6, 3], [10, 1]], 9996967/619173642240], [[[1, 5], [2, 6], [3, 2], [6, 3], [12, 1]], 55112093/3715041853440], [[[1, 5], [2, 6], [3, 2], [7, 1], [8, 1]], 5/2322432], [[[1, 5], [2, 6], [3, 2], [7, 1], [10, 1]], 397/174182400], [[[1, 5], [2, 6], [3, 2], [7, 1], [12, 1]], 14071/17836277760], [[[1, 5], [2, 6], [3, 2], [8, 1], [9, 1]], 743/382205952], [[[1, 5], [2, 6], [3, 2], [8, 1], [14, 1]], 67/13934592], [[[1, 5], [2, 6], [3, 2], [8, 1], [18, 1]], 121/53747712], [[[1, 5], [2, 6], [3, 2], [9, 1], [10, 1]], 8449/4478976000], [[[1, 5], [2, 6], [3, 2], [9, 1], [12, 1]], 2891/4586471424], [[[1, 5], [2, 6], [3, 2], [10, 1], [14, 1]], 7/2073600], [[[1, 5], [2, 6], [3, 2], [10, 1], [18, 1]], 293/167961600], [[[1, 5], [2, 6], [3, 2], [12, 1], [14, 1]], 3473/1783627776], [[[1, 5], [2, 6], [3, 2], [12, 1], [18, 1]], 3041/3439853568], [[[1, 5], [2, 6], [3, 3], [4, 1], [6, 3]], 643618609/22290251120640], [[[1, 5], [2, 6], [3, 3], [4, 1], [7, 1]], 1315/1337720832], [[[1, 5], [2, 6], [3, 3], [4, 1], [9, 1]], 29359/25798901760], [[[1, 5], [2, 6], [3, 3], [4, 1], [14, 1]], 48133/20065812480], [[[1, 5], [2, 6], [3, 3], [4, 1], [18, 1]], 82879/77396705280], [[[1, 5], [2, 6], [3, 3], [4, 2], [5, 1]], 76643/42998169600], [[[1, 5], [2, 6], [3, 3], [4, 2], [6, 2]], 30721765/1981355655168], [[[1, 5], [2, 6], [3, 3], [4, 2], [8, 1]], 999811/275188285440], [[[1, 5], [2, 6], [3, 3], [4, 2], [10, 1]], 38959/57330892800], [[[1, 5], [2, 6], [3, 3], [4, 2], [12, 1]], 1385431/550376570880], [[[1, 5], [2, 6], [3, 3], [4, 3], [6, 1]], 845/286654464], [[[1, 5], [2, 6], [3, 3], [5, 1], [6, 2]], 65226053/6191736422400], [[[1, 5], [2, 6], [3, 3], [5, 1], [8, 1]], 1/663552], [[[1, 5], [2, 6], [3, 3], [5, 1], [10, 1]], 27253/22394880000], [[[1, 5], [2, 6], [3, 3], [5, 1], [12, 1]], 10997/12740198400], [[[1, 5], [2, 6], [3, 3], [6, 1], [7, 1]], 52757/16930529280], [[[1, 5], [2, 6], [3, 3], [6, 1], [9, 1]], 6158629/2089711042560], [[[1, 5], [2, 6], [3, 3], [6, 1], [14, 1]], 9733/1504935936], [[[1, 5], [2, 6], [3, 3], [6, 1], [18, 1]], 320441/103195607040], [[[1, 5], [2, 6], [3, 3], [6, 2], [8, 1]], 60460403/4953389137920], [[[1, 5], [2, 6], [3, 3], [6, 2], [10, 1]], 228823/47775744000], [[[1, 5], [2, 6], [3, 3], [6, 2], [12, 1]], 20298833/1651129712640], [[[1, 5], [2, 6], [3, 3], [8, 1], [10, 1]], 1907/1791590400], [[[1, 5], [2, 6], [3, 3], [8, 1], [12, 1]], 845/679477248], [[[1, 5], [2, 6], [3, 3], [10, 1], [12, 1]], 28069/23887872000], [[[1, 5], [2, 6], [3, 4], [4, 1], [5, 1]], 39706757/68797071360000], [[[1, 5], [2, 6], [3, 4], [4, 1], [6, 2]], 56731109/12383472844800], [[[1, 5], [2, 6], [3, 4], [4, 1], [8, 1]], 12904571/14676708556800], [[[1, 5], [2, 6], [3, 4], [4, 1], [10, 1]], 10253677/68797071360000], [[[1, 5], [2, 6], [3, 4], [4, 1], [12, 1]], 1238969/1651129712640], [[[1, 5], [2, 6], [3, 4], [4, 2], [6, 1]], 1558790687/1783220089651200], [[[1, 5], [2, 6], [3, 4], [5, 1], [6, 1]], 196053647/116095057920000], [[[1, 5], [2, 6], [3, 4], [6, 1], [8, 1]], 31794161/16511297126400], [[[1, 5], [2, 6], [3, 4], [6, 1], [10, 1]], 24163/42467328000], [[[1, 5], [2, 6], [3, 4], [6, 1], [12, 1]], 42307091/22290251120640], [[[1, 5], [2, 6], [3, 5], [4, 1], [6, 1]], 2417219/8255648563200], [[[1, 5], [2, 6], [4, 1], [5, 1], [6, 4]], 17621957/68797071360000], [[[1, 5], [2, 6], [4, 1], [5, 1], [8, 2]], 1365877/84934656000], [[[1, 5], [2, 6], [4, 1], [5, 1], [10, 2]], 14645701/265420800000], [[[1, 5], [2, 6], [4, 1], [5, 1], [12, 2]], 18757/127401984000], [[[1, 5], [2, 6], [4, 1], [5, 1], [15, 1]], 18757/13271040000], [[[1, 5], [2, 6], [4, 1], [5, 1], [16, 1]], 1/122880], [[[1, 5], [2, 6], [4, 1], [5, 1], [20, 1]], 18757/8847360000], [[[1, 5], [2, 6], [4, 1], [5, 1], [24, 1]], 18757/10616832000], [[[1, 5], [2, 6], [4, 1], [5, 1], [30, 1]], 18757/13271040000], [[[1, 5], [2, 6], [4, 1], [5, 2], [6, 2]], 59641/47775744000], [[[1, 5], [2, 6], [4, 1], [5, 2], [8, 1]], 397051/56623104000], [[[1, 5], [2, 6], [4, 1], [5, 2], [10, 1]], 9699821/265420800000], [[[1, 5], [2, 6], [4, 1], [5, 2], [12, 1]], 10417/6370099200], [[[1, 5], [2, 6], [4, 1], [6, 2], [8, 2]], 179473/15288238080], [[[1, 5], [2, 6], [4, 1], [6, 2], [10, 2]], 351361/47775744000], [[[1, 5], [2, 6], [4, 1], [6, 2], [12, 2]], 116429/45864714240], [[[1, 5], [2, 6], [4, 1], [6, 2], [15, 1]], 2809/2388787200], [[[1, 5], [2, 6], [4, 1], [6, 2], [16, 1]], 5/1327104], [[[1, 5], [2, 6], [4, 1], [6, 2], [20, 1]], 2809/1592524800], [[[1, 5], [2, 6], [4, 1], [6, 2], [24, 1]], 2809/1911029760], [[[1, 5], [2, 6], [4, 1], [6, 2], [30, 1]], 2809/2388787200], [[[1, 5], [2, 6], [4, 1], [6, 3], [7, 1]], 52319/20065812480], [[[1, 5], [2, 6], [4, 1], [6, 3], [9, 1]], 113839/77396705280], [[[1, 5], [2, 6], [4, 1], [6, 3], [14, 1]], 48133/20065812480], [[[1, 5], [2, 6], [4, 1], [6, 3], [18, 1]], 10681/5159780352], [[[1, 5], [2, 6], [4, 1], [6, 4], [8, 1]], 72215153/44030125670400], [[[1, 5], [2, 6], [4, 1], [6, 4], [10, 1]], 94898477/68797071360000], [[[1, 5], [2, 6], [4, 1], [6, 4], [12, 1]], 496693/330225942528], [[[1, 5], [2, 6], [4, 1], [7, 1], [9, 1]], 67/18579456], [[[1, 5], [2, 6], [4, 1], [7, 1], [14, 1]], 53471/867041280], [[[1, 5], [2, 6], [4, 1], [7, 1], [18, 1]], 1439/278691840], [[[1, 5], [2, 6], [4, 1], [8, 1], [10, 2]], 731131/56623104000], [[[1, 5], [2, 6], [4, 1], [8, 1], [12, 2]], 7291/27179089920], [[[1, 5], [2, 6], [4, 1], [8, 1], [15, 1]], 7291/2831155200], [[[1, 5], [2, 6], [4, 1], [8, 1], [16, 1]], 1517/56623104], [[[1, 5], [2, 6], [4, 1], [8, 1], [20, 1]], 29713/5662310400], [[[1, 5], [2, 6], [4, 1], [8, 1], [24, 1]], 37553/6794772480], [[[1, 5], [2, 6], [4, 1], [8, 1], [30, 1]], 7291/2831155200], [[[1, 5], [2, 6], [4, 1], [8, 2], [10, 1]], 1939517/84934656000], [[[1, 5], [2, 6], [4, 1], [8, 2], [12, 1]], 24529/2038431744], [[[1, 5], [2, 6], [4, 1], [9, 1], [14, 1]], 259/39813120], [[[1, 5], [2, 6], [4, 1], [9, 1], [18, 1]], 74371/4299816960], [[[1, 5], [2, 6], [4, 1], [10, 1], [12, 2]], 26477/127401984000], [[[1, 5], [2, 6], [4, 1], [10, 1], [15, 1]], 26477/13271040000], [[[1, 5], [2, 6], [4, 1], [10, 1], [16, 1]], 1/73728], [[[1, 5], [2, 6], [4, 1], [10, 1], [20, 1]], 26477/8847360000], [[[1, 5], [2, 6], [4, 1], [10, 1], [24, 1]], 26477/10616832000], [[[1, 5], [2, 6], [4, 1], [10, 1], [30, 1]], 26477/13271040000], [[[1, 5], [2, 6], [4, 1], [10, 2], [12, 1]], 24241/6370099200], [[[1, 5], [2, 6], [4, 1], [12, 1], [15, 1]], 49/318504960], [[[1, 5], [2, 6], [4, 1], [12, 1], [16, 1]], 49/42467328], [[[1, 5], [2, 6], [4, 1], [12, 1], [20, 1]], 49/42467328], [[[1, 5], [2, 6], [4, 1], [12, 1], [24, 1]], 343/254803968], [[[1, 5], [2, 6], [4, 1], [12, 1], [30, 1]], 49/318504960], [[[1, 5], [2, 6], [4, 1], [14, 1], [18, 1]], 259/39813120], [[[1, 5], [2, 6], [4, 2], [5, 1], [6, 3]], 204869/171992678400], [[[1, 5], [2, 6], [4, 2], [5, 1], [7, 1]], 1117/206438400], [[[1, 5], [2, 6], [4, 2], [5, 1], [9, 1]], 2273/597196800], [[[1, 5], [2, 6], [4, 2], [5, 1], [14, 1]], 13/1228800], [[[1, 5], [2, 6], [4, 2], [5, 1], [18, 1]], 12293/2388787200], [[[1, 5], [2, 6], [4, 2], [5, 2], [6, 1]], 25060447/6879707136000], [[[1, 5], [2, 6], [4, 2], [6, 1], [8, 2]], 87881887/2201506283520], [[[1, 5], [2, 6], [4, 2], [6, 1], [10, 2]], 63504991/6879707136000], [[[1, 5], [2, 6], [4, 2], [6, 1], [12, 2]], 25668127/3302259425280], [[[1, 5], [2, 6], [4, 2], [6, 1], [15, 1]], 643807/343985356800], [[[1, 5], [2, 6], [4, 2], [6, 1], [16, 1]], 1/49152], [[[1, 5], [2, 6], [4, 2], [6, 1], [20, 1]], 2510047/229323571200], [[[1, 5], [2, 6], [4, 2], [6, 1], [24, 1]], 643807/275188285440], [[[1, 5], [2, 6], [4, 2], [6, 1], [30, 1]], 643807/343985356800], [[[1, 5], [2, 6], [4, 2], [6, 2], [7, 1]], 6593/1337720832], [[[1, 5], [2, 6], [4, 2], [6, 2], [9, 1]], 1249/429981696], [[[1, 5], [2, 6], [4, 2], [6, 2], [14, 1]], 3485/668860416], [[[1, 5], [2, 6], [4, 2], [6, 2], [18, 1]], 2487607/619173642240], [[[1, 5], [2, 6], [4, 2], [6, 3], [8, 1]], 809123/137594142720], [[[1, 5], [2, 6], [4, 2], [6, 3], [10, 1]], 123431/34398535680], [[[1, 5], [2, 6], [4, 2], [6, 3], [12, 1]], 42892381/9906778275840], [[[1, 5], [2, 6], [4, 2], [7, 1], [8, 1]], 13159/495452160], [[[1, 5], [2, 6], [4, 2], [7, 1], [10, 1]], 2557/309657600], [[[1, 5], [2, 6], [4, 2], [7, 1], [12, 1]], 28607/4459069440], [[[1, 5], [2, 6], [4, 2], [8, 1], [9, 1]], 72391/3822059520], [[[1, 5], [2, 6], [4, 2], [8, 1], [14, 1]], 46073/990904320], [[[1, 5], [2, 6], [4, 2], [8, 1], [18, 1]], 46073/1911029760], [[[1, 5], [2, 6], [4, 2], [9, 1], [10, 1]], 4159/796262400], [[[1, 5], [2, 6], [4, 2], [9, 1], [12, 1]], 8513/1911029760], [[[1, 5], [2, 6], [4, 2], [10, 1], [14, 1]], 13/1228800], [[[1, 5], [2, 6], [4, 2], [10, 1], [18, 1]], 2783/477757440], [[[1, 5], [2, 6], [4, 2], [12, 1], [14, 1]], 4801/445906944], [[[1, 5], [2, 6], [4, 2], [12, 1], [18, 1]], 4801/859963392], [[[1, 5], [2, 6], [4, 3], [5, 1], [6, 2]], 47911/19110297600], [[[1, 5], [2, 6], [4, 3], [5, 1], [8, 1]], 49501/1415577600], [[[1, 5], [2, 6], [4, 3], [5, 1], [10, 1]], 877/20480000], [[[1, 5], [2, 6], [4, 3], [5, 1], [12, 1]], 392587/31850496000], [[[1, 5], [2, 6], [4, 3], [6, 1], [7, 1]], 3037/743178240], [[[1, 5], [2, 6], [4, 3], [6, 1], [9, 1]], 4883/1911029760], [[[1, 5], [2, 6], [4, 3], [6, 1], [14, 1]], 3779/743178240], [[[1, 5], [2, 6], [4, 3], [6, 1], [18, 1]], 65147/18345885696], [[[1, 5], [2, 6], [4, 3], [6, 2], [8, 1]], 95585/6115295232], [[[1, 5], [2, 6], [4, 3], [6, 2], [10, 1]], 91343/19110297600], [[[1, 5], [2, 6], [4, 3], [6, 2], [12, 1]], 13078661/1467670855680], [[[1, 5], [2, 6], [4, 3], [8, 1], [10, 1]], 43939/943718400], [[[1, 5], [2, 6], [4, 3], [8, 1], [12, 1]], 392263/6794772480], [[[1, 5], [2, 6], [4, 3], [10, 1], [12, 1]], 564167/31850496000], [[[1, 5], [2, 6], [4, 4], [5, 1], [6, 1]], 80708797/34398535680000], [[[1, 5], [2, 6], [4, 4], [6, 1], [8, 1]], 128788691/4892236185600], [[[1, 5], [2, 6], [4, 4], [6, 1], [10, 1]], 14003899/3057647616000], [[[1, 5], [2, 6], [4, 4], [6, 1], [12, 1]], 88744787/6604518850560], [[[1, 5], [2, 6], [5, 1], [6, 1], [8, 2]], 387847/143327232000], [[[1, 5], [2, 6], [5, 1], [6, 1], [10, 2]], 5645071/447897600000], [[[1, 5], [2, 6], [5, 1], [6, 1], [12, 2]], 15247/214990848000], [[[1, 5], [2, 6], [5, 1], [6, 1], [15, 1]], 15247/22394880000], [[[1, 5], [2, 6], [5, 1], [6, 1], [20, 1]], 15247/14929920000], [[[1, 5], [2, 6], [5, 1], [6, 1], [24, 1]], 15247/17915904000], [[[1, 5], [2, 6], [5, 1], [6, 1], [30, 1]], 15247/22394880000], [[[1, 5], [2, 6], [5, 1], [6, 2], [7, 1]], 137/58060800], [[[1, 5], [2, 6], [5, 1], [6, 2], [9, 1]], 1003/671846400], [[[1, 5], [2, 6], [5, 1], [6, 2], [14, 1]], 7/2073600], [[[1, 5], [2, 6], [5, 1], [6, 2], [18, 1]], 86047/40310784000], [[[1, 5], [2, 6], [5, 1], [6, 3], [8, 1]], 305/286654464], [[[1, 5], [2, 6], [5, 1], [6, 3], [10, 1]], 1651/933120000], [[[1, 5], [2, 6], [5, 1], [6, 3], [12, 1]], 298447/214990848000], [[[1, 5], [2, 6], [5, 1], [7, 1], [8, 1]], 13/2580480], [[[1, 5], [2, 6], [5, 1], [7, 1], [10, 1]], 1261/80640000], [[[1, 5], [2, 6], [5, 1], [8, 1], [9, 1]], 1/276480], [[[1, 5], [2, 6], [5, 1], [8, 1], [14, 1]], 97/8601600], [[[1, 5], [2, 6], [5, 1], [8, 1], [18, 1]], 521/99532800], [[[1, 5], [2, 6], [5, 1], [9, 1], [10, 1]], 3433/311040000], [[[1, 5], [2, 6], [5, 1], [10, 1], [14, 1]], 181/6720000], [[[1, 5], [2, 6], [5, 1], [10, 1], [18, 1]], 181/12960000], [[[1, 5], [2, 6], [5, 2], [6, 1], [8, 1]], 54641/63700992000], [[[1, 5], [2, 6], [5, 2], [6, 1], [10, 1]], 88249/39813120000], [[[1, 5], [2, 6], [5, 2], [6, 1], [12, 1]], 13873/9555148800], [[[1, 5], [2, 6], [6, 1], [7, 1], [9, 1]], 3691/1881169920], [[[1, 5], [2, 6], [6, 1], [7, 1], [14, 1]], 57/2007040], [[[1, 5], [2, 6], [6, 1], [7, 1], [18, 1]], 1249/477757440], [[[1, 5], [2, 6], [6, 1], [8, 1], [10, 2]], 458993/63700992000], [[[1, 5], [2, 6], [6, 1], [8, 1], [12, 2]], 2801/30576476160], [[[1, 5], [2, 6], [6, 1], [8, 1], [15, 1]], 2801/3185049600], [[[1, 5], [2, 6], [6, 1], [8, 1], [16, 1]], 1/196608], [[[1, 5], [2, 6], [6, 1], [8, 1], [20, 1]], 2801/2123366400], [[[1, 5], [2, 6], [6, 1], [8, 1], [24, 1]], 2801/2548039680], [[[1, 5], [2, 6], [6, 1], [8, 1], [30, 1]], 2801/3185049600], [[[1, 5], [2, 6], [6, 1], [8, 2], [10, 1]], 94297/12740198400], [[[1, 5], [2, 6], [6, 1], [8, 2], [12, 1]], 8401/3057647616], [[[1, 5], [2, 6], [6, 1], [9, 1], [14, 1]], 589/209018880], [[[1, 5], [2, 6], [6, 1], [9, 1], [18, 1]], 3619/477757440], [[[1, 5], [2, 6], [6, 1], [10, 1], [12, 2]], 1849/19110297600], [[[1, 5], [2, 6], [6, 1], [10, 1], [15, 1]], 1849/1990656000], [[[1, 5], [2, 6], [6, 1], [10, 1], [20, 1]], 1849/1327104000], [[[1, 5], [2, 6], [6, 1], [10, 1], [24, 1]], 1849/1592524800], [[[1, 5], [2, 6], [6, 1], [10, 1], [30, 1]], 1849/1990656000], [[[1, 5], [2, 6], [6, 1], [10, 2], [12, 1]], 4157/1911029760], [[[1, 5], [2, 6], [6, 1], [12, 1], [15, 1]], 49/477757440], [[[1, 5], [2, 6], [6, 1], [12, 1], [20, 1]], 49/318504960], [[[1, 5], [2, 6], [6, 1], [12, 1], [24, 1]], 49/382205952], [[[1, 5], [2, 6], [6, 1], [12, 1], [30, 1]], 49/477757440], [[[1, 5], [2, 6], [6, 1], [14, 1], [18, 1]], 905/334430208], [[[1, 5], [2, 6], [6, 2], [7, 1], [8, 1]], 149/34836480], [[[1, 5], [2, 6], [6, 2], [7, 1], [10, 1]], 19/3317760], [[[1, 5], [2, 6], [6, 2], [7, 1], [12, 1]], 34039/17836277760], [[[1, 5], [2, 6], [6, 2], [8, 1], [9, 1]], 349/134369280], [[[1, 5], [2, 6], [6, 2], [8, 1], [14, 1]], 67/13934592], [[[1, 5], [2, 6], [6, 2], [8, 1], [18, 1]], 18481/5733089280], [[[1, 5], [2, 6], [6, 2], [9, 1], [10, 1]], 31/9953280], [[[1, 5], [2, 6], [6, 2], [9, 1], [12, 1]], 2867/2548039680], [[[1, 5], [2, 6], [6, 2], [10, 1], [14, 1]], 1/221184], [[[1, 5], [2, 6], [6, 2], [10, 1], [18, 1]], 1321/398131200], [[[1, 5], [2, 6], [6, 2], [12, 1], [14, 1]], 3473/1783627776], [[[1, 5], [2, 6], [6, 2], [12, 1], [18, 1]], 1367/1146617856], [[[1, 5], [2, 6], [6, 3], [8, 1], [10, 1]], 24283/7166361600], [[[1, 5], [2, 6], [6, 3], [8, 1], [12, 1]], 65521/30576476160], [[[1, 5], [2, 6], [6, 3], [10, 1], [12, 1]], 14003/6370099200], [[[1, 5], [2, 6], [7, 1], [8, 1], [10, 1]], 67/6451200], [[[1, 5], [2, 6], [8, 1], [9, 1], [10, 1]], 31/4976640], [[[1, 5], [2, 6], [8, 1], [10, 1], [14, 1]], 97/8601600], [[[1, 5], [2, 6], [8, 1], [10, 1], [18, 1]], 643/99532800], [[[1, 5], [2, 8], [3, 1], [4, 1], [5, 2]], 199727/764411904000], [[[1, 5], [2, 8], [3, 1], [4, 1], [6, 4]], 2013222313/1386948958617600], [[[1, 5], [2, 8], [3, 1], [4, 1], [8, 2]], 319493/244611809280], [[[1, 5], [2, 8], [3, 1], [4, 1], [10, 2]], 7066889/5350883328000], [[[1, 5], [2, 8], [3, 1], [4, 1], [12, 2]], 1081/31708938240], [[[1, 5], [2, 8], [3, 1], [4, 1], [15, 1]], 18953/267544166400], [[[1, 5], [2, 8], [3, 1], [4, 1], [16, 1]], 1/10616832], [[[1, 5], [2, 8], [3, 1], [4, 1], [20, 1]], 18953/178362777600], [[[1, 5], [2, 8], [3, 1], [4, 1], [24, 1]], 18953/214035333120], [[[1, 5], [2, 8], [3, 1], [4, 1], [30, 1]], 18953/267544166400], [[[1, 5], [2, 8], [3, 1], [4, 2], [6, 3]], 243595433/69347447930880], [[[1, 5], [2, 8], [3, 1], [4, 2], [7, 1]], 11997331/22473709977600], [[[1, 5], [2, 8], [3, 1], [4, 2], [9, 1]], 627316007/1386948958617600], [[[1, 5], [2, 8], [3, 1], [4, 2], [14, 1]], 395221/187280916480], [[[1, 5], [2, 8], [3, 1], [4, 2], [18, 1]], 19115/24078974976], [[[1, 5], [2, 8], [3, 1], [4, 3], [5, 1]], 57103/89181388800], [[[1, 5], [2, 8], [3, 1], [4, 3], [6, 2]], 12421993/2889476997120], [[[1, 5], [2, 8], [3, 1], [4, 3], [8, 1]], 271681891/102736959897600], [[[1, 5], [2, 8], [3, 1], [4, 3], [10, 1]], 570299/535088332800], [[[1, 5], [2, 8], [3, 1], [4, 3], [12, 1]], 566753/642105999360], [[[1, 5], [2, 8], [3, 1], [4, 4], [6, 1]], 27562626341/13869489586176000], [[[1, 5], [2, 8], [3, 1], [5, 1], [6, 3]], 12071131/12039487488000], [[[1, 5], [2, 8], [3, 1], [5, 1], [7, 1]], 125101/2341011456000], [[[1, 5], [2, 8], [3, 1], [5, 1], [9, 1]], 4335431/90296156160000], [[[1, 5], [2, 8], [3, 1], [5, 1], [14, 1]], 45007/78033715200], [[[1, 5], [2, 8], [3, 1], [5, 1], [18, 1]], 17693/100329062400], [[[1, 5], [2, 8], [3, 1], [5, 2], [6, 1]], 72085823/180592312320000], [[[1, 5], [2, 8], [3, 1], [6, 1], [8, 2]], 96417431/57789539942400], [[[1, 5], [2, 8], [3, 1], [6, 1], [10, 2]], 621123263/180592312320000], [[[1, 5], [2, 8], [3, 1], [6, 1], [12, 2]], 712103/12383472844800], [[[1, 5], [2, 8], [3, 1], [6, 1], [15, 1]], 816191/9029615616000], [[[1, 5], [2, 8], [3, 1], [6, 1], [20, 1]], 816191/6019743744000], [[[1, 5], [2, 8], [3, 1], [6, 1], [24, 1]], 1564631/7223692492800], [[[1, 5], [2, 8], [3, 1], [6, 1], [30, 1]], 816191/9029615616000], [[[1, 5], [2, 8], [3, 1], [6, 2], [7, 1]], 38256301/33710564966400], [[[1, 5], [2, 8], [3, 1], [6, 2], [9, 1]], 3879203/4815794995200], [[[1, 5], [2, 8], [3, 1], [6, 2], [14, 1]], 3176821/1123685498880], [[[1, 5], [2, 8], [3, 1], [6, 2], [18, 1]], 82407959/65013232435200], [[[1, 5], [2, 8], [3, 1], [6, 3], [8, 1]], 2220457/1155790798848], [[[1, 5], [2, 8], [3, 1], [6, 3], [10, 1]], 109684859/36118462464000], [[[1, 5], [2, 8], [3, 1], [6, 3], [12, 1]], 90303901/86684309913600], [[[1, 5], [2, 8], [3, 1], [7, 1], [8, 1]], 2479/15606743040], [[[1, 5], [2, 8], [3, 1], [7, 1], [10, 1]], 31/77414400], [[[1, 5], [2, 8], [3, 1], [7, 1], [12, 1]], 140461/5618427494400], [[[1, 5], [2, 8], [3, 1], [8, 1], [9, 1]], 128183/963158999040], [[[1, 5], [2, 8], [3, 1], [8, 1], [14, 1]], 877/990904320], [[[1, 5], [2, 8], [3, 1], [8, 1], [18, 1]], 3523/11466178560], [[[1, 5], [2, 8], [3, 1], [9, 1], [10, 1]], 8929/28665446400], [[[1, 5], [2, 8], [3, 1], [9, 1], [12, 1]], 397741/21671077478400], [[[1, 5], [2, 8], [3, 1], [10, 1], [14, 1]], 227/193536000], [[[1, 5], [2, 8], [3, 1], [10, 1], [18, 1]], 2177/4478976000], [[[1, 5], [2, 8], [3, 1], [12, 1], [14, 1]], 21109/187280916480], [[[1, 5], [2, 8], [3, 1], [12, 1], [18, 1]], 1979/48157949952], [[[1, 5], [2, 8], [3, 2], [4, 1], [6, 3]], 3828617707/693474479308800], [[[1, 5], [2, 8], [3, 2], [4, 1], [7, 1]], 101/557383680], [[[1, 5], [2, 8], [3, 2], [4, 1], [9, 1]], 84697/481579499520], [[[1, 5], [2, 8], [3, 2], [4, 1], [14, 1]], 563/557383680], [[[1, 5], [2, 8], [3, 2], [4, 1], [18, 1]], 1511/4299816960], [[[1, 5], [2, 8], [3, 2], [4, 2], [5, 1]], 24830431/48157949952000], [[[1, 5], [2, 8], [3, 2], [4, 2], [6, 2]], 182160703777/26629420005457920], [[[1, 5], [2, 8], [3, 2], [4, 2], [8, 1]], 249749/214035333120], [[[1, 5], [2, 8], [3, 2], [4, 2], [10, 1]], 9359/11466178560], [[[1, 5], [2, 8], [3, 2], [4, 2], [12, 1]], 4814701273/9510507144806400], [[[1, 5], [2, 8], [3, 2], [4, 3], [6, 1]], 536766869/277389791723520], [[[1, 5], [2, 8], [3, 2], [5, 1], [6, 2]], 289808441/137594142720000], [[[1, 5], [2, 8], [3, 2], [5, 1], [8, 1]], 4999/33443020800], [[[1, 5], [2, 8], [3, 2], [5, 1], [10, 1]], 17/41472000], [[[1, 5], [2, 8], [3, 2], [5, 1], [12, 1]], 2193323/68797071360000], [[[1, 5], [2, 8], [3, 2], [6, 1], [7, 1]], 821683/2022633897984], [[[1, 5], [2, 8], [3, 2], [6, 1], [9, 1]], 22895639/65013232435200], [[[1, 5], [2, 8], [3, 2], [6, 1], [14, 1]], 2707861/1444738498560], [[[1, 5], [2, 8], [3, 2], [6, 1], [18, 1]], 66997963/97519848652800], [[[1, 5], [2, 8], [3, 2], [6, 2], [8, 1]], 1042115903/277389791723520], [[[1, 5], [2, 8], [3, 2], [6, 2], [10, 1]], 156042467/24766945689600], [[[1, 5], [2, 8], [3, 2], [6, 2], [12, 1]], 163721711/148601674137600], [[[1, 5], [2, 8], [3, 2], [8, 1], [10, 1]], 71/119439360], [[[1, 5], [2, 8], [3, 2], [8, 1], [12, 1]], 471959/5136847994880], [[[1, 5], [2, 8], [3, 2], [10, 1], [12, 1]], 6701/30576476160], [[[1, 5], [2, 8], [3, 3], [4, 1], [5, 1]], 47773/361184624640], [[[1, 5], [2, 8], [3, 3], [4, 1], [6, 2]], 3858486697/1248254062755840], [[[1, 5], [2, 8], [3, 3], [4, 1], [8, 1]], 364652611/1386948958617600], [[[1, 5], [2, 8], [3, 3], [4, 1], [10, 1]], 515393/1805923123200], [[[1, 5], [2, 8], [3, 3], [4, 1], [12, 1]], 1196021/9906778275840], [[[1, 5], [2, 8], [3, 3], [4, 2], [6, 1]], 218892803/208042343792640], [[[1, 5], [2, 8], [3, 3], [5, 1], [6, 1]], 117150113/325066162176000], [[[1, 5], [2, 8], [3, 3], [6, 1], [8, 1]], 32827933/52010585948160], [[[1, 5], [2, 8], [3, 3], [6, 1], [10, 1]], 11264417/12039487488000], [[[1, 5], [2, 8], [3, 3], [6, 1], [12, 1]], 23016541/86684309913600], [[[1, 5], [2, 8], [3, 4], [4, 1], [6, 1]], 975720127/2972033482752000], [[[1, 5], [2, 8], [4, 1], [5, 1], [6, 3]], 1998007/3439853568000], [[[1, 5], [2, 8], [4, 1], [5, 1], [7, 1]], 4663/13005619200], [[[1, 5], [2, 8], [4, 1], [5, 1], [9, 1]], 6773/25082265600], [[[1, 5], [2, 8], [4, 1], [5, 1], [14, 1]], 22987/12386304000], [[[1, 5], [2, 8], [4, 1], [5, 1], [18, 1]], 31447/47775744000], [[[1, 5], [2, 8], [4, 1], [5, 2], [6, 1]], 30300857/80263249920000], [[[1, 5], [2, 8], [4, 1], [6, 1], [8, 2]], 62950799/25684239974400], [[[1, 5], [2, 8], [4, 1], [6, 1], [10, 2]], 266224937/80263249920000], [[[1, 5], [2, 8], [4, 1], [6, 1], [12, 2]], 2868809/38526359961600], [[[1, 5], [2, 8], [4, 1], [6, 1], [15, 1]], 636089/4013162496000], [[[1, 5], [2, 8], [4, 1], [6, 1], [16, 1]], 17/26542080], [[[1, 5], [2, 8], [4, 1], [6, 1], [20, 1]], 636089/2675441664000], [[[1, 5], [2, 8], [4, 1], [6, 1], [24, 1]], 636089/3210529996800], [[[1, 5], [2, 8], [4, 1], [6, 1], [30, 1]], 636089/4013162496000], [[[1, 5], [2, 8], [4, 1], [6, 2], [7, 1]], 4951/5016453120], [[[1, 5], [2, 8], [4, 1], [6, 2], [9, 1]], 25459/38698352640], [[[1, 5], [2, 8], [4, 1], [6, 2], [14, 1]], 2917/1433272320], [[[1, 5], [2, 8], [4, 1], [6, 2], [18, 1]], 7351609/7223692492800], [[[1, 5], [2, 8], [4, 1], [6, 3], [8, 1]], 3921277/2568423997440], [[[1, 5], [2, 8], [4, 1], [6, 3], [10, 1]], 2099989/1146617856000], [[[1, 5], [2, 8], [4, 1], [6, 3], [12, 1]], 107106227/115579079884800], [[[1, 5], [2, 8], [4, 1], [7, 1], [8, 1]], 4243231/4994157772800], [[[1, 5], [2, 8], [4, 1], [7, 1], [10, 1]], 19783/13005619200], [[[1, 5], [2, 8], [4, 1], [7, 1], [12, 1]], 379/7803371520], [[[1, 5], [2, 8], [4, 1], [8, 1], [9, 1]], 11751811/19263179980800], [[[1, 5], [2, 8], [4, 1], [8, 1], [14, 1]], 146119/41617981440], [[[1, 5], [2, 8], [4, 1], [8, 1], [18, 1]], 139127/107017666560], [[[1, 5], [2, 8], [4, 1], [9, 1], [10, 1]], 25757/25082265600], [[[1, 5], [2, 8], [4, 1], [9, 1], [12, 1]], 67/1881169920], [[[1, 5], [2, 8], [4, 1], [10, 1], [14, 1]], 5941/1769472000], [[[1, 5], [2, 8], [4, 1], [10, 1], [18, 1]], 71807/47775744000], [[[1, 5], [2, 8], [4, 1], [12, 1], [14, 1]], 311/1486356480], [[[1, 5], [2, 8], [4, 1], [12, 1], [18, 1]], 443/5733089280], [[[1, 5], [2, 8], [4, 2], [5, 1], [6, 2]], 1080209/859963392000], [[[1, 5], [2, 8], [4, 2], [5, 1], [8, 1]], 2095687/1189085184000], [[[1, 5], [2, 8], [4, 2], [5, 1], [10, 1]], 43463/8847360000], [[[1, 5], [2, 8], [4, 2], [5, 1], [12, 1]], 48631021/120394874880000], [[[1, 5], [2, 8], [4, 2], [6, 1], [7, 1]], 362617/321052999680], [[[1, 5], [2, 8], [4, 2], [6, 1], [9, 1]], 325421/412782428160], [[[1, 5], [2, 8], [4, 2], [6, 1], [14, 1]], 95063/32105299968], [[[1, 5], [2, 8], [4, 2], [6, 1], [18, 1]], 263592593/198135565516800], [[[1, 5], [2, 8], [4, 2], [6, 2], [8, 1]], 494645/110075314176], [[[1, 5], [2, 8], [4, 2], [6, 2], [10, 1]], 1146079/343985356800], [[[1, 5], [2, 8], [4, 2], [6, 2], [12, 1]], 6284466739/3170169048268800], [[[1, 5], [2, 8], [4, 2], [8, 1], [10, 1]], 9099187/1189085184000], [[[1, 5], [2, 8], [4, 2], [8, 1], [12, 1]], 222247/128421199872], [[[1, 5], [2, 8], [4, 2], [10, 1], [12, 1]], 13561/7644119040], [[[1, 5], [2, 8], [4, 3], [5, 1], [6, 1]], 2563867/2293235712000], [[[1, 5], [2, 8], [4, 3], [6, 1], [8, 1]], 9123451/1467670855680], [[[1, 5], [2, 8], [4, 3], [6, 1], [10, 1]], 11972551/4586471424000], [[[1, 5], [2, 8], [4, 3], [6, 1], [12, 1]], 172523987/77052719923200], [[[1, 5], [2, 8], [5, 1], [6, 1], [7, 1]], 307/1161216000], [[[1, 5], [2, 8], [5, 1], [6, 1], [9, 1]], 1931/10077696000], [[[1, 5], [2, 8], [5, 1], [6, 1], [14, 1]], 421/435456000], [[[1, 5], [2, 8], [5, 1], [6, 1], [18, 1]], 34408421/90296156160000], [[[1, 5], [2, 8], [5, 1], [6, 2], [8, 1]], 2497/4478976000], [[[1, 5], [2, 8], [5, 1], [6, 2], [10, 1]], 2509/1492992000], [[[1, 5], [2, 8], [5, 1], [6, 2], [12, 1]], 135645221/481579499520000], [[[1, 5], [2, 8], [5, 1], [8, 1], [10, 1]], 239/122880000], [[[1, 5], [2, 8], [6, 1], [7, 1], [8, 1]], 23621/46820229120], [[[1, 5], [2, 8], [6, 1], [7, 1], [10, 1]], 24709/26011238400], [[[1, 5], [2, 8], [6, 1], [7, 1], [12, 1]], 1231/20808990720], [[[1, 5], [2, 8], [6, 1], [8, 1], [9, 1]], 31631/90296156160], [[[1, 5], [2, 8], [6, 1], [8, 1], [14, 1]], 7307/5350883328], [[[1, 5], [2, 8], [6, 1], [8, 1], [18, 1]], 566003/963158999040], [[[1, 5], [2, 8], [6, 1], [9, 1], [10, 1]], 20701/33443020800], [[[1, 5], [2, 8], [6, 1], [9, 1], [12, 1]], 1979/48157949952], [[[1, 5], [2, 8], [6, 1], [10, 1], [14, 1]], 2123/1238630400], [[[1, 5], [2, 8], [6, 1], [10, 1], [18, 1]], 8053/9555148800], [[[1, 5], [2, 8], [6, 1], [12, 1], [14, 1]], 1423/8918138880], [[[1, 5], [2, 8], [6, 1], [12, 1], [18, 1]], 2309/34398535680], [[[1, 5], [2, 8], [6, 2], [8, 1], [10, 1]], 105751/57330892800], [[[1, 5], [2, 8], [6, 2], [8, 1], [12, 1]], 2223239/5136847994880], [[[1, 5], [2, 8], [6, 2], [10, 1], [12, 1]], 1259/2038431744], [[[1, 5], [2, 10], [3, 1], [4, 1], [6, 3]], 10895149/27738979172352], [[[1, 5], [2, 10], [3, 1], [4, 1], [7, 1]], 2363/267544166400], [[[1, 5], [2, 10], [3, 1], [4, 1], [9, 1]], 8950811/1155790798848000], [[[1, 5], [2, 10], [3, 1], [4, 1], [14, 1]], 631951/7491236659200], [[[1, 5], [2, 10], [3, 1], [4, 1], [18, 1]], 28099/1070176665600], [[[1, 5], [2, 10], [3, 1], [4, 2], [5, 1]], 59119157/1541054398464000], [[[1, 5], [2, 10], [3, 1], [4, 2], [6, 2]], 10995593971/22191183337881600], [[[1, 5], [2, 10], [3, 1], [4, 2], [8, 1]], 19192037/176120502681600], [[[1, 5], [2, 10], [3, 1], [4, 2], [10, 1]], 3753923/21403533312000], [[[1, 5], [2, 10], [3, 1], [4, 2], [12, 1]], 1324828669/55477958344704000], [[[1, 5], [2, 10], [3, 1], [4, 3], [6, 1]], 401486179/1849265278156800], [[[1, 5], [2, 10], [3, 1], [5, 1], [6, 2]], 6685561/80263249920000], [[[1, 5], [2, 10], [3, 1], [5, 1], [8, 1]], 60433/11466178560000], [[[1, 5], [2, 10], [3, 1], [5, 1], [10, 1]], 55561/2229534720000], [[[1, 5], [2, 10], [3, 1], [5, 1], [12, 1]], 90479/120394874880000], [[[1, 5], [2, 10], [3, 1], [6, 1], [7, 1]], 148879/8427641241600], [[[1, 5], [2, 10], [3, 1], [6, 1], [9, 1]], 345203/24766945689600], [[[1, 5], [2, 10], [3, 1], [6, 1], [14, 1]], 10915/96315899904], [[[1, 5], [2, 10], [3, 1], [6, 1], [18, 1]], 49534987/1300264648704000], [[[1, 5], [2, 10], [3, 1], [6, 2], [8, 1]], 647443/3669177139200], [[[1, 5], [2, 10], [3, 1], [6, 2], [10, 1]], 111321773/288947699712000], [[[1, 5], [2, 10], [3, 1], [6, 2], [12, 1]], 268117447/6934744793088000], [[[1, 5], [2, 10], [3, 1], [8, 1], [10, 1]], 9853/178362777600], [[[1, 5], [2, 10], [3, 1], [8, 1], [12, 1]], 19993/7705271992320], [[[1, 5], [2, 10], [3, 1], [10, 1], [12, 1]], 43741/5350883328000], [[[1, 5], [2, 10], [3, 2], [4, 1], [5, 1]], 1081123/144473849856000], [[[1, 5], [2, 10], [3, 2], [4, 1], [6, 2]], 46129405793/110955916689408000], [[[1, 5], [2, 10], [3, 2], [4, 1], [8, 1]], 5622241/231158159769600], [[[1, 5], [2, 10], [3, 2], [4, 1], [10, 1]], 9129751/144473849856000], [[[1, 5], [2, 10], [3, 2], [4, 1], [12, 1]], 323899459/55477958344704000], [[[1, 5], [2, 10], [3, 2], [4, 2], [6, 1]], 50445643/260052929740800], [[[1, 5], [2, 10], [3, 2], [5, 1], [6, 1]], 4281379/240789749760000], [[[1, 5], [2, 10], [3, 2], [6, 1], [8, 1]], 68554579/1386948958617600], [[[1, 5], [2, 10], [3, 2], [6, 1], [10, 1]], 4244347/30958682112000], [[[1, 5], [2, 10], [3, 2], [6, 1], [12, 1]], 99732109/8321693751705600], [[[1, 5], [2, 10], [3, 3], [4, 1], [6, 1]], 317641613/6241270313779200], [[[1, 5], [2, 10], [4, 1], [5, 1], [6, 2]], 439363/4815794995200], [[[1, 5], [2, 10], [4, 1], [5, 1], [8, 1]], 4093783/107017666560000], [[[1, 5], [2, 10], [4, 1], [5, 1], [10, 1]], 9838793/66886041600000], [[[1, 5], [2, 10], [4, 1], [5, 1], [12, 1]], 59711/40131624960000], [[[1, 5], [2, 10], [4, 1], [6, 1], [7, 1]], 64657/1404606873600], [[[1, 5], [2, 10], [4, 1], [6, 1], [9, 1]], 1446157/43342154956800], [[[1, 5], [2, 10], [4, 1], [6, 1], [14, 1]], 949087/4494741995520], [[[1, 5], [2, 10], [4, 1], [6, 1], [18, 1]], 89278531/1155790798848000], [[[1, 5], [2, 10], [4, 1], [6, 2], [8, 1]], 5050847/22015062835200], [[[1, 5], [2, 10], [4, 1], [6, 2], [10, 1]], 18998761/48157949952000], [[[1, 5], [2, 10], [4, 1], [6, 2], [12, 1]], 1417465633/18492652781568000], [[[1, 5], [2, 10], [4, 1], [8, 1], [10, 1]], 11861603/42807066624000], [[[1, 5], [2, 10], [4, 1], [8, 1], [12, 1]], 96301/12842119987200], [[[1, 5], [2, 10], [4, 1], [10, 1], [12, 1]], 1397/89181388800], [[[1, 5], [2, 10], [4, 2], [5, 1], [6, 1]], 12641783/137594142720000], [[[1, 5], [2, 10], [4, 2], [6, 1], [8, 1]], 403441343/1232843518771200], [[[1, 5], [2, 10], [4, 2], [6, 1], [10, 1]], 331968653/770527199232000], [[[1, 5], [2, 10], [4, 2], [6, 1], [12, 1]], 63713537/693474479308800], [[[1, 5], [2, 10], [5, 1], [6, 1], [8, 1]], 2402191/80263249920000], [[[1, 5], [2, 10], [5, 1], [6, 1], [10, 1]], 317281/2786918400000], [[[1, 5], [2, 10], [5, 1], [6, 1], [12, 1]], 420977/120394874880000], [[[1, 5], [2, 10], [6, 1], [8, 1], [10, 1]], 5262083/32105299968000], [[[1, 5], [2, 10], [6, 1], [8, 1], [12, 1]], 201011/25684239974400], [[[1, 5], [2, 10], [6, 1], [10, 1], [12, 1]], 187/10701766656], [[[1, 5], [2, 12], [3, 1], [4, 1], [5, 1]], 60259/240789749760000], [[[1, 5], [2, 12], [3, 1], [4, 1], [6, 2]], 7212167/462316319539200], [[[1, 5], [2, 12], [3, 1], [4, 1], [8, 1]], 6290959/6164217593856000], [[[1, 5], [2, 12], [3, 1], [4, 1], [10, 1]], 124871/32105299968000], [[[1, 5], [2, 12], [3, 1], [4, 1], [12, 1]], 34471/231158159769600], [[[1, 5], [2, 12], [3, 1], [4, 2], [6, 1]], 584368963/55477958344704000], [[[1, 5], [2, 12], [3, 1], [5, 1], [6, 1]], 172573/321052999680000], [[[1, 5], [2, 12], [3, 1], [6, 1], [8, 1]], 287867/154105439846400], [[[1, 5], [2, 12], [3, 1], [6, 1], [10, 1]], 2414059/361184624640000], [[[1, 5], [2, 12], [3, 1], [6, 1], [12, 1]], 1473019/6934744793088000], [[[1, 5], [2, 12], [3, 2], [4, 1], [6, 1]], 163999483/55477958344704000], [[[1, 5], [2, 12], [4, 1], [5, 1], [6, 1]], 3579379/1926317998080000], [[[1, 5], [2, 12], [4, 1], [6, 1], [8, 1]], 7531687/1232843518771200], [[[1, 5], [2, 12], [4, 1], [6, 1], [10, 1]], 63462209/3852635996160000], [[[1, 5], [2, 12], [4, 1], [6, 1], [12, 1]], 7313363/9246326390784000], [[[1, 5], [2, 14], [3, 1], [4, 1], [6, 1]], 10706357/110955916689408000], [[[1, 5], [3, 1], [4, 1], [5, 1], [8, 3]], 1/2949120], [[[1, 5], [3, 1], [4, 1], [5, 3], [8, 1]], 1/9216000], [[[1, 5], [3, 1], [4, 1], [6, 2], [8, 3]], 1/42467328], [[[1, 5], [3, 1], [4, 1], [6, 6], [8, 1]], 1/34398535680], [[[1, 5], [3, 1], [4, 1], [8, 1], [9, 2]], 1/1492992], [[[1, 5], [3, 1], [4, 1], [8, 1], [12, 3]], 1/10616832], [[[1, 5], [3, 1], [4, 1], [8, 3], [12, 1]], 1/7077888], [[[1, 5], [3, 1], [4, 2], [5, 2], [7, 1]], 1/19353600], [[[1, 5], [3, 1], [4, 2], [5, 2], [9, 1]], 17/1194393600], [[[1, 5], [3, 1], [4, 2], [6, 4], [7, 1]], 1/5016453120], [[[1, 5], [3, 1], [4, 2], [6, 4], [9, 1]], 17/309586821120], [[[1, 5], [3, 1], [4, 2], [7, 1], [8, 2]], 1/6193152], [[[1, 5], [3, 1], [4, 2], [7, 1], [10, 2]], 1/19353600], [[[1, 5], [3, 1], [4, 2], [7, 1], [12, 2]], 17/9289728], [[[1, 5], [3, 1], [4, 2], [7, 1], [15, 1]], 1/967680], [[[1, 5], [3, 1], [4, 2], [7, 1], [20, 1]], 1/645120], [[[1, 5], [3, 1], [4, 2], [7, 1], [24, 1]], 1/774144], [[[1, 5], [3, 1], [4, 2], [7, 1], [30, 1]], 1/967680], [[[1, 5], [3, 1], [4, 2], [8, 2], [9, 1]], 125/382205952], [[[1, 5], [3, 1], [4, 2], [9, 1], [10, 2]], 17/1194393600], [[[1, 5], [3, 1], [4, 2], [9, 1], [12, 2]], 91/191102976], [[[1, 5], [3, 1], [4, 2], [9, 1], [15, 1]], 17/59719680], [[[1, 5], [3, 1], [4, 2], [9, 1], [20, 1]], 17/39813120], [[[1, 5], [3, 1], [4, 2], [9, 1], [24, 1]], 17/47775744], [[[1, 5], [3, 1], [4, 2], [9, 1], [30, 1]], 17/59719680], [[[1, 5], [3, 1], [4, 3], [5, 2], [8, 1]], 1/88473600], [[[1, 5], [3, 1], [4, 3], [6, 4], [8, 1]], 1/22932357120], [[[1, 5], [3, 1], [4, 3], [8, 1], [10, 2]], 1/88473600], [[[1, 5], [3, 1], [4, 3], [8, 1], [12, 2]], 17/42467328], [[[1, 5], [3, 1], [4, 3], [8, 1], [15, 1]], 1/4423680], [[[1, 5], [3, 1], [4, 3], [8, 1], [20, 1]], 1/2949120], [[[1, 5], [3, 1], [4, 3], [8, 1], [24, 1]], 1/3538944], [[[1, 5], [3, 1], [4, 3], [8, 1], [30, 1]], 1/4423680], [[[1, 5], [3, 1], [4, 4], [5, 1], [7, 1]], 1/154828800], [[[1, 5], [3, 1], [4, 4], [5, 1], [9, 1]], 11/5971968000], [[[1, 5], [3, 1], [4, 4], [6, 2], [7, 1]], 1/2229534720], [[[1, 5], [3, 1], [4, 4], [6, 2], [9, 1]], 1/8599633920], [[[1, 5], [3, 1], [4, 4], [7, 1], [12, 1]], 23/53084160], [[[1, 5], [3, 1], [4, 4], [9, 1], [12, 1]], 19/159252480], [[[1, 5], [3, 1], [4, 5], [5, 1], [8, 1]], 1/707788800], [[[1, 5], [3, 1], [4, 5], [6, 2], [8, 1]], 1/10192158720], [[[1, 5], [3, 1], [4, 5], [8, 1], [12, 1]], 161/1698693120], [[[1, 5], [3, 1], [5, 1], [6, 4], [7, 1]], 1/522547200], [[[1, 5], [3, 1], [5, 1], [6, 4], [9, 1]], 11/20155392000], [[[1, 5], [3, 1], [5, 1], [7, 1], [8, 2]], 1/645120], [[[1, 5], [3, 1], [5, 1], [7, 1], [10, 2]], 1/2016000], [[[1, 5], [3, 1], [5, 1], [7, 1], [12, 2]], 1/967680], [[[1, 5], [3, 1], [5, 1], [7, 1], [15, 1]], 1/100800], [[[1, 5], [3, 1], [5, 1], [7, 1], [20, 1]], 1/67200], [[[1, 5], [3, 1], [5, 1], [7, 1], [24, 1]], 1/80640], [[[1, 5], [3, 1], [5, 1], [7, 1], [30, 1]], 1/100800], [[[1, 5], [3, 1], [5, 1], [8, 2], [9, 1]], 11/24883200], [[[1, 5], [3, 1], [5, 1], [9, 1], [10, 2]], 11/77760000], [[[1, 5], [3, 1], [5, 1], [9, 1], [12, 2]], 11/37324800], [[[1, 5], [3, 1], [5, 1], [9, 1], [15, 1]], 11/3888000], [[[1, 5], [3, 1], [5, 1], [9, 1], [20, 1]], 11/2592000], [[[1, 5], [3, 1], [5, 1], [9, 1], [24, 1]], 11/3110400], [[[1, 5], [3, 1], [5, 1], [9, 1], [30, 1]], 11/3888000], [[[1, 5], [3, 1], [5, 2], [6, 2], [7, 1]], 1/29030400], [[[1, 5], [3, 1], [5, 2], [6, 2], [9, 1]], 1/111974400], [[[1, 5], [3, 1], [5, 2], [7, 1], [12, 1]], 1/4838400], [[[1, 5], [3, 1], [5, 2], [9, 1], [12, 1]], 1/18662400], [[[1, 5], [3, 1], [6, 2], [7, 1], [8, 2]], 1/9289728], [[[1, 5], [3, 1], [6, 2], [7, 1], [10, 2]], 1/29030400], [[[1, 5], [3, 1], [6, 2], [7, 1], [12, 2]], 1/1990656], [[[1, 5], [3, 1], [6, 2], [7, 1], [15, 1]], 1/1451520], [[[1, 5], [3, 1], [6, 2], [7, 1], [20, 1]], 1/967680], [[[1, 5], [3, 1], [6, 2], [7, 1], [24, 1]], 1/1161216], [[[1, 5], [3, 1], [6, 2], [7, 1], [30, 1]], 1/1451520], [[[1, 5], [3, 1], [6, 2], [8, 2], [9, 1]], 1/35831808], [[[1, 5], [3, 1], [6, 2], [9, 1], [10, 2]], 1/111974400], [[[1, 5], [3, 1], [6, 2], [9, 1], [12, 2]], 7/53747712], [[[1, 5], [3, 1], [6, 2], [9, 1], [15, 1]], 1/5598720], [[[1, 5], [3, 1], [6, 2], [9, 1], [20, 1]], 1/3732480], [[[1, 5], [3, 1], [6, 2], [9, 1], [24, 1]], 1/4478976], [[[1, 5], [3, 1], [6, 2], [9, 1], [30, 1]], 1/5598720], [[[1, 5], [3, 1], [6, 3], [7, 1], [18, 1]], 1/2612736], [[[1, 5], [3, 1], [6, 3], [9, 1], [18, 1]], 1/10077696], [[[1, 5], [3, 1], [6, 4], [7, 1], [12, 1]], 13/179159040], [[[1, 5], [3, 1], [6, 4], [9, 1], [12, 1]], 91/4837294080], [[[1, 5], [3, 1], [7, 1], [8, 2], [12, 1]], 1/1548288], [[[1, 5], [3, 1], [7, 1], [10, 2], [12, 1]], 1/4838400], [[[1, 5], [3, 1], [7, 1], [12, 1], [15, 1]], 1/241920], [[[1, 5], [3, 1], [7, 1], [12, 1], [20, 1]], 1/161280], [[[1, 5], [3, 1], [7, 1], [12, 1], [24, 1]], 1/193536], [[[1, 5], [3, 1], [7, 1], [12, 1], [30, 1]], 1/241920], [[[1, 5], [3, 1], [8, 2], [9, 1], [12, 1]], 1/5971968], [[[1, 5], [3, 1], [9, 1], [10, 2], [12, 1]], 1/18662400], [[[1, 5], [3, 1], [9, 1], [12, 1], [15, 1]], 1/933120], [[[1, 5], [3, 1], [9, 1], [12, 1], [20, 1]], 1/622080], [[[1, 5], [3, 1], [9, 1], [12, 1], [24, 1]], 1/746496], [[[1, 5], [3, 1], [9, 1], [12, 1], [30, 1]], 1/933120], [[[1, 5], [3, 2], [4, 2], [5, 1], [6, 4]], 1/10749542400], [[[1, 5], [3, 2], [4, 2], [5, 1], [8, 2]], 1/13271040], [[[1, 5], [3, 2], [4, 2], [5, 1], [10, 2]], 1/41472000], [[[1, 5], [3, 2], [4, 2], [5, 1], [12, 2]], 29/33177600], [[[1, 5], [3, 2], [4, 2], [5, 1], [15, 1]], 1/2073600], [[[1, 5], [3, 2], [4, 2], [5, 1], [20, 1]], 1/1382400], [[[1, 5], [3, 2], [4, 2], [5, 1], [24, 1]], 1/1658880], [[[1, 5], [3, 2], [4, 2], [5, 1], [30, 1]], 1/2073600], [[[1, 5], [3, 2], [4, 2], [5, 2], [6, 2]], 13/7644119040], [[[1, 5], [3, 2], [4, 2], [5, 2], [12, 1]], 56137/57330892800], [[[1, 5], [3, 2], [4, 2], [6, 2], [8, 2]], 173/12230590464], [[[1, 5], [3, 2], [4, 2], [6, 2], [10, 2]], 13/7644119040], [[[1, 5], [3, 2], [4, 2], [6, 2], [12, 2]], 5381/55037657088], [[[1, 5], [3, 2], [4, 2], [6, 2], [15, 1]], 13/382205952], [[[1, 5], [3, 2], [4, 2], [6, 2], [20, 1]], 13/254803968], [[[1, 5], [3, 2], [4, 2], [6, 2], [24, 1]], 137/1528823808], [[[1, 5], [3, 2], [4, 2], [6, 2], [30, 1]], 13/382205952], [[[1, 5], [3, 2], [4, 2], [6, 3], [18, 1]], 65/3439853568], [[[1, 5], [3, 2], [4, 2], [6, 4], [12, 1]], 122611/14860167413760], [[[1, 5], [3, 2], [4, 2], [7, 1], [9, 1]], 1/1741824], [[[1, 5], [3, 2], [4, 2], [8, 1], [16, 1]], 1/1327104], [[[1, 5], [3, 2], [4, 2], [8, 2], [12, 1]], 4885/18345885696], [[[1, 5], [3, 2], [4, 2], [10, 2], [12, 1]], 841/57330892800], [[[1, 5], [3, 2], [4, 2], [12, 1], [15, 1]], 841/2866544640], [[[1, 5], [3, 2], [4, 2], [12, 1], [20, 1]], 3913/1911029760], [[[1, 5], [3, 2], [4, 2], [12, 1], [24, 1]], 2377/2293235712], [[[1, 5], [3, 2], [4, 2], [12, 1], [30, 1]], 841/2866544640], [[[1, 5], [3, 2], [4, 3], [8, 1], [9, 1]], 1/7962624], [[[1, 5], [3, 2], [4, 4], [5, 1], [6, 2]], 41/191102976000], [[[1, 5], [3, 2], [4, 4], [5, 1], [12, 1]], 2147/10616832000], [[[1, 5], [3, 2], [4, 4], [6, 1], [18, 1]], 181/12899450880], [[[1, 5], [3, 2], [4, 4], [6, 2], [12, 1]], 1121/34398535680], [[[1, 5], [3, 2], [5, 1], [6, 2], [8, 2]], 41/796262400], [[[1, 5], [3, 2], [5, 1], [6, 2], [10, 2]], 41/2488320000], [[[1, 5], [3, 2], [5, 1], [6, 2], [12, 2]], 431/1194393600], [[[1, 5], [3, 2], [5, 1], [6, 2], [15, 1]], 41/124416000], [[[1, 5], [3, 2], [5, 1], [6, 2], [20, 1]], 41/82944000], [[[1, 5], [3, 2], [5, 1], [6, 2], [24, 1]], 113/99532800], [[[1, 5], [3, 2], [5, 1], [6, 2], [30, 1]], 41/124416000], [[[1, 5], [3, 2], [5, 1], [6, 3], [18, 1]], 41/223948800], [[[1, 5], [3, 2], [5, 1], [6, 4], [12, 1]], 3731/107495424000], [[[1, 5], [3, 2], [5, 1], [7, 1], [9, 1]], 1/181440], [[[1, 5], [3, 2], [5, 1], [8, 2], [12, 1]], 41/132710400], [[[1, 5], [3, 2], [5, 1], [10, 2], [12, 1]], 41/414720000], [[[1, 5], [3, 2], [5, 1], [12, 1], [15, 1]], 41/20736000], [[[1, 5], [3, 2], [5, 1], [12, 1], [20, 1]], 41/13824000], [[[1, 5], [3, 2], [5, 1], [12, 1], [24, 1]], 41/16588800], [[[1, 5], [3, 2], [5, 1], [12, 1], [30, 1]], 41/20736000], [[[1, 5], [3, 2], [5, 2], [6, 1], [18, 1]], 217/167961600], [[[1, 5], [3, 2], [5, 2], [6, 2], [12, 1]], 223/895795200], [[[1, 5], [3, 2], [6, 1], [8, 2], [18, 1]], 1/53747712], [[[1, 5], [3, 2], [6, 1], [10, 2], [18, 1]], 1/167961600], [[[1, 5], [3, 2], [6, 1], [12, 2], [18, 1]], 19/80621568], [[[1, 5], [3, 2], [6, 1], [15, 1], [18, 1]], 1/8398080], [[[1, 5], [3, 2], [6, 1], [18, 1], [20, 1]], 1/5598720], [[[1, 5], [3, 2], [6, 1], [18, 1], [24, 1]], 1/6718464], [[[1, 5], [3, 2], [6, 1], [18, 1], [30, 1]], 1/8398080], [[[1, 5], [3, 2], [6, 2], [7, 1], [9, 1]], 5/10450944], [[[1, 5], [3, 2], [6, 2], [8, 2], [12, 1]], 7/286654464], [[[1, 5], [3, 2], [6, 2], [10, 2], [12, 1]], 7/895795200], [[[1, 5], [3, 2], [6, 2], [12, 1], [15, 1]], 7/44789760], [[[1, 5], [3, 2], [6, 2], [12, 1], [20, 1]], 7/29859840], [[[1, 5], [3, 2], [6, 2], [12, 1], [24, 1]], 7/35831808], [[[1, 5], [3, 2], [6, 2], [12, 1], [30, 1]], 7/44789760], [[[1, 5], [3, 2], [6, 3], [12, 1], [18, 1]], 7/80621568], [[[1, 5], [3, 2], [7, 1], [9, 1], [12, 1]], 5/1741824], [[[1, 5], [3, 3], [4, 1], [5, 2], [8, 1]], 1/1194393600], [[[1, 5], [3, 3], [4, 1], [6, 4], [8, 1]], 811/309586821120], [[[1, 5], [3, 3], [4, 1], [8, 1], [10, 2]], 1/1194393600], [[[1, 5], [3, 3], [4, 1], [8, 1], [12, 2]], 55/573308928], [[[1, 5], [3, 3], [4, 1], [8, 1], [15, 1]], 1/59719680], [[[1, 5], [3, 3], [4, 1], [8, 1], [20, 1]], 1/39813120], [[[1, 5], [3, 3], [4, 1], [8, 1], [24, 1]], 1/47775744], [[[1, 5], [3, 3], [4, 1], [8, 1], [30, 1]], 1/59719680], [[[1, 5], [3, 3], [4, 2], [5, 1], [9, 1]], 1/3732480], [[[1, 5], [3, 3], [4, 2], [6, 2], [7, 1]], 1/55738368], [[[1, 5], [3, 3], [4, 2], [6, 2], [9, 1]], 1/42467328], [[[1, 5], [3, 3], [4, 2], [7, 1], [12, 1]], 5/35831808], [[[1, 5], [3, 3], [4, 2], [9, 1], [12, 1]], 3083/15479341056], [[[1, 5], [3, 3], [4, 3], [6, 2], [8, 1]], 1/254803968], [[[1, 5], [3, 3], [4, 3], [8, 1], [12, 1]], 35/1146617856], [[[1, 5], [3, 3], [5, 1], [6, 2], [7, 1]], 1/5806080], [[[1, 5], [3, 3], [5, 1], [6, 2], [9, 1]], 17/74649600], [[[1, 5], [3, 3], [5, 1], [7, 1], [12, 1]], 1/967680], [[[1, 5], [3, 3], [5, 1], [9, 1], [12, 1]], 17/12441600], [[[1, 5], [3, 3], [6, 1], [7, 1], [18, 1]], 1/23514624], [[[1, 5], [3, 3], [6, 1], [9, 1], [18, 1]], 169/90699264], [[[1, 5], [3, 3], [6, 2], [7, 1], [12, 1]], 19/125411328], [[[1, 5], [3, 3], [6, 2], [9, 1], [12, 1]], 61/483729408], [[[1, 5], [3, 4], [4, 1], [7, 1], [8, 1]], 1/1114767360], [[[1, 5], [3, 4], [4, 1], [8, 1], [9, 1]], 41/4299816960], [[[1, 5], [3, 4], [4, 2], [5, 1], [6, 2]], 1/119439360], [[[1, 5], [3, 4], [4, 2], [5, 1], [12, 1]], 1751/26873856000], [[[1, 5], [3, 4], [4, 2], [6, 1], [18, 1]], 641/309586821120], [[[1, 5], [3, 4], [4, 2], [6, 2], [12, 1]], 602513/4953389137920], [[[1, 5], [3, 4], [5, 1], [6, 1], [18, 1]], 401/20155392000], [[[1, 5], [3, 4], [5, 1], [6, 2], [12, 1]], 7691/107495424000], [[[1, 5], [3, 4], [6, 1], [12, 1], [18, 1]], 5/241864704], [[[1, 5], [3, 5], [4, 1], [5, 1], [8, 1]], 1/2388787200], [[[1, 5], [3, 5], [4, 1], [6, 2], [8, 1]], 11/34398535680], [[[1, 5], [3, 5], [4, 1], [8, 1], [12, 1]], 11/5733089280], [[[1, 5], [4, 1], [5, 2], [7, 1], [8, 1]], 1/4300800], [[[1, 5], [4, 1], [5, 2], [8, 1], [9, 1]], 1/16588800], [[[1, 5], [4, 1], [6, 4], [7, 1], [8, 1]], 1/1114767360], [[[1, 5], [4, 1], [6, 4], [8, 1], [9, 1]], 1/4299816960], [[[1, 5], [4, 1], [7, 1], [8, 1], [10, 2]], 1/4300800], [[[1, 5], [4, 1], [7, 1], [8, 1], [12, 2]], 1/2064384], [[[1, 5], [4, 1], [7, 1], [8, 1], [15, 1]], 1/215040], [[[1, 5], [4, 1], [7, 1], [8, 1], [20, 1]], 1/143360], [[[1, 5], [4, 1], [7, 1], [8, 1], [24, 1]], 1/172032], [[[1, 5], [4, 1], [7, 1], [8, 1], [30, 1]], 1/215040], [[[1, 5], [4, 1], [8, 1], [9, 1], [10, 2]], 1/16588800], [[[1, 5], [4, 1], [8, 1], [9, 1], [12, 2]], 1/7962624], [[[1, 5], [4, 1], [8, 1], [9, 1], [15, 1]], 1/829440], [[[1, 5], [4, 1], [8, 1], [9, 1], [20, 1]], 1/552960], [[[1, 5], [4, 1], [8, 1], [9, 1], [24, 1]], 1/663552], [[[1, 5], [4, 1], [8, 1], [9, 1], [30, 1]], 1/829440], [[[1, 5], [4, 2], [5, 1], [6, 2], [12, 2]], 1/49766400], [[[1, 5], [4, 2], [5, 1], [6, 4], [12, 1]], 1/26873856000], [[[1, 5], [4, 2], [5, 1], [8, 1], [16, 1]], 1/614400], [[[1, 5], [4, 2], [5, 1], [8, 2], [12, 1]], 13/33177600], [[[1, 5], [4, 2], [5, 1], [10, 2], [12, 1]], 1/103680000], [[[1, 5], [4, 2], [5, 1], [12, 1], [15, 1]], 1/5184000], [[[1, 5], [4, 2], [5, 1], [12, 1], [20, 1]], 13/3456000], [[[1, 5], [4, 2], [5, 1], [12, 1], [24, 1]], 7/4147200], [[[1, 5], [4, 2], [5, 1], [12, 1], [30, 1]], 1/5184000], [[[1, 5], [4, 2], [5, 2], [6, 1], [18, 1]], 1/1194393600], [[[1, 5], [4, 2], [5, 2], [6, 2], [12, 1]], 1/6370099200], [[[1, 5], [4, 2], [6, 1], [8, 2], [18, 1]], 109/382205952], [[[1, 5], [4, 2], [6, 1], [10, 2], [18, 1]], 1/1194393600], [[[1, 5], [4, 2], [6, 1], [12, 2], [18, 1]], 1/573308928], [[[1, 5], [4, 2], [6, 1], [15, 1], [18, 1]], 1/59719680], [[[1, 5], [4, 2], [6, 1], [18, 1], [20, 1]], 1/39813120], [[[1, 5], [4, 2], [6, 1], [18, 1], [24, 1]], 1/47775744], [[[1, 5], [4, 2], [6, 1], [18, 1], [30, 1]], 1/59719680], [[[1, 5], [4, 2], [6, 2], [8, 2], [12, 1]], 109/2038431744], [[[1, 5], [4, 2], [6, 2], [10, 2], [12, 1]], 1/6370099200], [[[1, 5], [4, 2], [6, 2], [12, 1], [15, 1]], 1/318504960], [[[1, 5], [4, 2], [6, 2], [12, 1], [20, 1]], 1/212336640], [[[1, 5], [4, 2], [6, 2], [12, 1], [24, 1]], 1/254803968], [[[1, 5], [4, 2], [6, 2], [12, 1], [30, 1]], 1/318504960], [[[1, 5], [4, 2], [6, 3], [12, 1], [18, 1]], 1/573308928], [[[1, 5], [4, 2], [7, 1], [9, 1], [12, 1]], 1/435456], [[[1, 5], [4, 3], [7, 1], [8, 1], [12, 1]], 1/516096], [[[1, 5], [4, 3], [8, 1], [9, 1], [12, 1]], 1/1990656], [[[1, 5], [4, 4], [5, 1], [6, 1], [18, 1]], 1/5971968000], [[[1, 5], [4, 4], [5, 1], [6, 2], [12, 1]], 1/31850496000], [[[1, 5], [4, 4], [6, 1], [12, 1], [18, 1]], 1/143327232], [[[1, 5], [5, 1], [6, 1], [8, 2], [18, 1]], 1/24883200], [[[1, 5], [5, 1], [6, 1], [10, 2], [18, 1]], 1/77760000], [[[1, 5], [5, 1], [6, 1], [12, 2], [18, 1]], 1/37324800], [[[1, 5], [5, 1], [6, 1], [15, 1], [18, 1]], 1/3888000], [[[1, 5], [5, 1], [6, 1], [18, 1], [20, 1]], 1/2592000], [[[1, 5], [5, 1], [6, 1], [18, 1], [24, 1]], 1/3110400], [[[1, 5], [5, 1], [6, 1], [18, 1], [30, 1]], 1/3888000], [[[1, 5], [5, 1], [6, 2], [8, 2], [12, 1]], 1/132710400], [[[1, 5], [5, 1], [6, 2], [10, 2], [12, 1]], 1/414720000], [[[1, 5], [5, 1], [6, 2], [12, 1], [15, 1]], 1/20736000], [[[1, 5], [5, 1], [6, 2], [12, 1], [20, 1]], 1/13824000], [[[1, 5], [5, 1], [6, 2], [12, 1], [24, 1]], 1/16588800], [[[1, 5], [5, 1], [6, 2], [12, 1], [30, 1]], 1/20736000], [[[1, 5], [5, 1], [6, 3], [12, 1], [18, 1]], 1/37324800], [[[1, 5], [6, 1], [7, 1], [9, 1], [18, 1]], 1/326592], [[[1, 5], [6, 2], [7, 1], [9, 1], [12, 1]], 1/1741824], [[[1, 6], [2, 1], [3, 1], [4, 1], [6, 7]], 1/154793410560], [[[1, 6], [2, 1], [3, 1], [4, 2], [5, 3]], 79/3317760000], [[[1, 6], [2, 1], [3, 1], [4, 2], [6, 6]], 1/309586821120], [[[1, 6], [2, 1], [3, 1], [4, 2], [7, 2]], 1/602112], [[[1, 6], [2, 1], [3, 1], [4, 2], [8, 3]], 149/339738624], [[[1, 6], [2, 1], [3, 1], [4, 2], [9, 2]], 1/2985984], [[[1, 6], [2, 1], [3, 1], [4, 2], [12, 3]], 83/4837294080], [[[1, 6], [2, 1], [3, 1], [4, 2], [28, 1]], 37/34836480], [[[1, 6], [2, 1], [3, 1], [4, 2], [36, 1]], 37/134369280], [[[1, 6], [2, 1], [3, 1], [4, 3], [6, 5]], 1/82556485632], [[[1, 6], [2, 1], [3, 1], [4, 4], [5, 2]], 48691/17199267840000], [[[1, 6], [2, 1], [3, 1], [4, 4], [6, 4]], 17587/4458050224128000], [[[1, 6], [2, 1], [3, 1], [4, 4], [8, 2]], 3088267/5503765708800], [[[1, 6], [2, 1], [3, 1], [4, 4], [10, 2]], 17587/17199267840000], [[[1, 6], [2, 1], [3, 1], [4, 4], [12, 2]], 505267/8255648563200], [[[1, 6], [2, 1], [3, 1], [4, 4], [15, 1]], 17587/859963392000], [[[1, 6], [2, 1], [3, 1], [4, 4], [20, 1]], 6359/114661785600], [[[1, 6], [2, 1], [3, 1], [4, 4], [24, 1]], 17587/687970713600], [[[1, 6], [2, 1], [3, 1], [4, 4], [30, 1]], 17587/859963392000], [[[1, 6], [2, 1], [3, 1], [4, 5], [6, 3]], 1/45864714240], [[[1, 6], [2, 1], [3, 1], [4, 5], [7, 1]], 1/23592960], [[[1, 6], [2, 1], [3, 1], [4, 5], [9, 1]], 11/943718400], [[[1, 6], [2, 1], [3, 1], [4, 6], [5, 1]], 79/254803968000], [[[1, 6], [2, 1], [3, 1], [4, 6], [6, 2]], 1/91729428480], [[[1, 6], [2, 1], [3, 1], [4, 6], [8, 1]], 761/81537269760], [[[1, 6], [2, 1], [3, 1], [4, 6], [12, 1]], 26879/3095868211200], [[[1, 6], [2, 1], [3, 1], [4, 7], [6, 1]], 1/24461180928], [[[1, 6], [2, 1], [3, 1], [5, 1], [6, 6]], 7/161243136000], [[[1, 6], [2, 1], [3, 1], [5, 1], [7, 2]], 1/47040], [[[1, 6], [2, 1], [3, 1], [5, 1], [8, 3]], 7/44236800], [[[1, 6], [2, 1], [3, 1], [5, 1], [9, 2]], 1/259200], [[[1, 6], [2, 1], [3, 1], [5, 1], [12, 3]], 7/49766400], [[[1, 6], [2, 1], [3, 1], [5, 2], [6, 4]], 31141/58047528960000], [[[1, 6], [2, 1], [3, 1], [5, 2], [8, 2]], 31141/71663616000], [[[1, 6], [2, 1], [3, 1], [5, 2], [10, 2]], 42241/223948800000], [[[1, 6], [2, 1], [3, 1], [5, 2], [12, 2]], 31141/107495424000], [[[1, 6], [2, 1], [3, 1], [5, 2], [15, 1]], 31141/11197440000], [[[1, 6], [2, 1], [3, 1], [5, 2], [20, 1]], 31141/7464960000], [[[1, 6], [2, 1], [3, 1], [5, 2], [24, 1]], 31141/8957952000], [[[1, 6], [2, 1], [3, 1], [5, 2], [30, 1]], 31141/11197440000], [[[1, 6], [2, 1], [3, 1], [5, 3], [6, 2]], 7/622080000], [[[1, 6], [2, 1], [3, 1], [5, 3], [8, 1]], 7/138240000], [[[1, 6], [2, 1], [3, 1], [5, 3], [12, 1]], 7/103680000], [[[1, 6], [2, 1], [3, 1], [6, 2], [7, 2]], 1/451584], [[[1, 6], [2, 1], [3, 1], [6, 2], [8, 3]], 1/127401984], [[[1, 6], [2, 1], [3, 1], [6, 2], [9, 2]], 5/20155392], [[[1, 6], [2, 1], [3, 1], [6, 2], [12, 3]], 37/51597803520], [[[1, 6], [2, 1], [3, 1], [6, 2], [18, 2]], 37/3627970560], [[[1, 6], [2, 1], [3, 1], [6, 4], [8, 2]], 37/18575209267200], [[[1, 6], [2, 1], [3, 1], [6, 4], [10, 2]], 37/58047528960000], [[[1, 6], [2, 1], [3, 1], [6, 4], [12, 2]], 10027/27862813900800], [[[1, 6], [2, 1], [3, 1], [6, 4], [15, 1]], 37/2902376448000], [[[1, 6], [2, 1], [3, 1], [6, 4], [20, 1]], 37/1934917632000], [[[1, 6], [2, 1], [3, 1], [6, 4], [24, 1]], 37/2321901158400], [[[1, 6], [2, 1], [3, 1], [6, 4], [30, 1]], 37/2902376448000], [[[1, 6], [2, 1], [3, 1], [6, 5], [7, 1]], 11/1254113280], [[[1, 6], [2, 1], [3, 1], [6, 5], [9, 1]], 11/4837294080], [[[1, 6], [2, 1], [3, 1], [6, 5], [18, 1]], 37/5224277606400], [[[1, 6], [2, 1], [3, 1], [6, 6], [8, 1]], 1/103195607040], [[[1, 6], [2, 1], [3, 1], [6, 6], [12, 1]], 37/27862813900800], [[[1, 6], [2, 1], [3, 1], [7, 2], [8, 1]], 1/150528], [[[1, 6], [2, 1], [3, 1], [7, 2], [12, 1]], 1/75264], [[[1, 6], [2, 1], [3, 1], [8, 1], [9, 2]], 1/1492992], [[[1, 6], [2, 1], [3, 1], [8, 1], [12, 3]], 1/31850496], [[[1, 6], [2, 1], [3, 1], [8, 2], [10, 2]], 37/71663616000], [[[1, 6], [2, 1], [3, 1], [8, 2], [12, 2]], 37/34398535680], [[[1, 6], [2, 1], [3, 1], [8, 2], [15, 1]], 37/3583180800], [[[1, 6], [2, 1], [3, 1], [8, 2], [20, 1]], 37/2388787200], [[[1, 6], [2, 1], [3, 1], [8, 2], [24, 1]], 407/955514880], [[[1, 6], [2, 1], [3, 1], [8, 2], [30, 1]], 37/3583180800], [[[1, 6], [2, 1], [3, 1], [8, 3], [12, 1]], 1/21233664], [[[1, 6], [2, 1], [3, 1], [9, 2], [12, 1]], 5/3359232], [[[1, 6], [2, 1], [3, 1], [10, 2], [12, 2]], 37/107495424000], [[[1, 6], [2, 1], [3, 1], [10, 2], [15, 1]], 37/11197440000], [[[1, 6], [2, 1], [3, 1], [10, 2], [20, 1]], 37/7464960000], [[[1, 6], [2, 1], [3, 1], [10, 2], [24, 1]], 37/8957952000], [[[1, 6], [2, 1], [3, 1], [10, 2], [30, 1]], 37/11197440000], [[[1, 6], [2, 1], [3, 1], [12, 1], [36, 1]], 37/67184640], [[[1, 6], [2, 1], [3, 1], [12, 2], [15, 1]], 37/5374771200], [[[1, 6], [2, 1], [3, 1], [12, 2], [20, 1]], 37/3583180800], [[[1, 6], [2, 1], [3, 1], [12, 2], [24, 1]], 481/4299816960], [[[1, 6], [2, 1], [3, 1], [12, 2], [30, 1]], 37/5374771200], [[[1, 6], [2, 1], [3, 1], [15, 1], [20, 1]], 37/373248000], [[[1, 6], [2, 1], [3, 1], [15, 1], [24, 1]], 37/447897600], [[[1, 6], [2, 1], [3, 1], [15, 1], [30, 1]], 37/34992000], [[[1, 6], [2, 1], [3, 1], [20, 1], [24, 1]], 37/298598400], [[[1, 6], [2, 1], [3, 1], [20, 1], [30, 1]], 37/373248000], [[[1, 6], [2, 1], [3, 1], [24, 1], [30, 1]], 37/447897600], [[[1, 6], [2, 1], [3, 2], [4, 1], [5, 3]], 113/62208000], [[[1, 6], [2, 1], [3, 2], [4, 1], [6, 6]], 161/8255648563200], [[[1, 6], [2, 1], [3, 2], [4, 1], [8, 3]], 11/42467328], [[[1, 6], [2, 1], [3, 2], [4, 1], [9, 2]], 1/2211840], [[[1, 6], [2, 1], [3, 2], [4, 1], [10, 3]], 1/124416000], [[[1, 6], [2, 1], [3, 2], [4, 1], [12, 3]], 43387/68797071360], [[[1, 6], [2, 1], [3, 2], [4, 1], [28, 1]], 1/290304], [[[1, 6], [2, 1], [3, 2], [4, 1], [36, 1]], 1/373248], [[[1, 6], [2, 1], [3, 2], [4, 2], [6, 5]], 143/330225942528], [[[1, 6], [2, 1], [3, 2], [4, 3], [5, 2]], 1099/2388787200], [[[1, 6], [2, 1], [3, 2], [4, 3], [6, 4]], 289/619173642240], [[[1, 6], [2, 1], [3, 2], [4, 3], [8, 2]], 175/764411904], [[[1, 6], [2, 1], [3, 2], [4, 3], [10, 2]], 19/2388787200], [[[1, 6], [2, 1], [3, 2], [4, 3], [12, 2]], 10033/11466178560], [[[1, 6], [2, 1], [3, 2], [4, 3], [15, 1]], 19/119439360], [[[1, 6], [2, 1], [3, 2], [4, 3], [16, 1]], 1/3981312], [[[1, 6], [2, 1], [3, 2], [4, 3], [20, 1]], 83/79626240], [[[1, 6], [2, 1], [3, 2], [4, 3], [24, 1]], 19/95551488], [[[1, 6], [2, 1], [3, 2], [4, 3], [30, 1]], 19/119439360], [[[1, 6], [2, 1], [3, 2], [4, 4], [6, 3]], 47/123834728448], [[[1, 6], [2, 1], [3, 2], [4, 4], [7, 1]], 23/418037760], [[[1, 6], [2, 1], [3, 2], [4, 4], [9, 1]], 61387/1547934105600], [[[1, 6], [2, 1], [3, 2], [4, 4], [14, 1]], 181/6688604160], [[[1, 6], [2, 1], [3, 2], [4, 4], [18, 1]], 181/8599633920], [[[1, 6], [2, 1], [3, 2], [4, 5], [5, 1]], 37/955514880], [[[1, 6], [2, 1], [3, 2], [4, 5], [6, 2]], 379/271790899200], [[[1, 6], [2, 1], [3, 2], [4, 5], [8, 1]], 2189/30576476160], [[[1, 6], [2, 1], [3, 2], [4, 5], [10, 1]], 181/9555148800], [[[1, 6], [2, 1], [3, 2], [4, 5], [12, 1]], 430699/3669177139200], [[[1, 6], [2, 1], [3, 2], [4, 6], [6, 1]], 13/97844723712], [[[1, 6], [2, 1], [3, 2], [5, 1], [6, 5]], 451/107495424000], [[[1, 6], [2, 1], [3, 2], [5, 2], [6, 3]], 271/8062156800], [[[1, 6], [2, 1], [3, 2], [5, 2], [7, 1]], 109/10886400], [[[1, 6], [2, 1], [3, 2], [5, 2], [9, 1]], 109501/20155392000], [[[1, 6], [2, 1], [3, 2], [5, 2], [14, 1]], 31/12441600], [[[1, 6], [2, 1], [3, 2], [5, 2], [18, 1]], 217/111974400], [[[1, 6], [2, 1], [3, 2], [5, 3], [6, 1]], 41/414720000], [[[1, 6], [2, 1], [3, 2], [6, 1], [7, 2]], 1/903168], [[[1, 6], [2, 1], [3, 2], [6, 1], [8, 3]], 1/47775744], [[[1, 6], [2, 1], [3, 2], [6, 1], [9, 2]], 1/1492992], [[[1, 6], [2, 1], [3, 2], [6, 1], [10, 3]], 1/186624000], [[[1, 6], [2, 1], [3, 2], [6, 1], [12, 3]], 25/71663616], [[[1, 6], [2, 1], [3, 2], [6, 1], [18, 2]], 1/10077696], [[[1, 6], [2, 1], [3, 2], [6, 3], [8, 2]], 55/2579890176], [[[1, 6], [2, 1], [3, 2], [6, 3], [10, 2]], 11/1612431360], [[[1, 6], [2, 1], [3, 2], [6, 3], [12, 2]], 775/3869835264], [[[1, 6], [2, 1], [3, 2], [6, 3], [15, 1]], 11/80621568], [[[1, 6], [2, 1], [3, 2], [6, 3], [20, 1]], 11/53747712], [[[1, 6], [2, 1], [3, 2], [6, 3], [24, 1]], 55/322486272], [[[1, 6], [2, 1], [3, 2], [6, 3], [30, 1]], 11/80621568], [[[1, 6], [2, 1], [3, 2], [6, 4], [7, 1]], 271/2821754880], [[[1, 6], [2, 1], [3, 2], [6, 4], [9, 1]], 162637/5224277606400], [[[1, 6], [2, 1], [3, 2], [6, 4], [14, 1]], 271/22574039040], [[[1, 6], [2, 1], [3, 2], [6, 4], [18, 1]], 2471/29023764480], [[[1, 6], [2, 1], [3, 2], [6, 5], [8, 1]], 271/38698352640], [[[1, 6], [2, 1], [3, 2], [6, 5], [10, 1]], 271/48372940800], [[[1, 6], [2, 1], [3, 2], [6, 5], [12, 1]], 887/38698352640], [[[1, 6], [2, 1], [3, 2], [7, 1], [8, 2]], 1/3483648], [[[1, 6], [2, 1], [3, 2], [7, 1], [10, 2]], 1/10886400], [[[1, 6], [2, 1], [3, 2], [7, 1], [12, 2]], 19/5225472], [[[1, 6], [2, 1], [3, 2], [7, 1], [15, 1]], 1/544320], [[[1, 6], [2, 1], [3, 2], [7, 1], [20, 1]], 1/362880], [[[1, 6], [2, 1], [3, 2], [7, 1], [24, 1]], 1/435456], [[[1, 6], [2, 1], [3, 2], [7, 1], [30, 1]], 1/544320], [[[1, 6], [2, 1], [3, 2], [8, 2], [9, 1]], 637/6449725440], [[[1, 6], [2, 1], [3, 2], [8, 2], [14, 1]], 1/27869184], [[[1, 6], [2, 1], [3, 2], [8, 2], [18, 1]], 1/35831808], [[[1, 6], [2, 1], [3, 2], [9, 1], [10, 2]], 637/20155392000], [[[1, 6], [2, 1], [3, 2], [9, 1], [12, 2]], 11437/9674588160], [[[1, 6], [2, 1], [3, 2], [9, 1], [15, 1]], 637/1007769600], [[[1, 6], [2, 1], [3, 2], [9, 1], [20, 1]], 637/671846400], [[[1, 6], [2, 1], [3, 2], [9, 1], [24, 1]], 637/806215680], [[[1, 6], [2, 1], [3, 2], [9, 1], [30, 1]], 637/1007769600], [[[1, 6], [2, 1], [3, 2], [10, 2], [14, 1]], 1/87091200], [[[1, 6], [2, 1], [3, 2], [10, 2], [18, 1]], 1/111974400], [[[1, 6], [2, 1], [3, 2], [12, 2], [14, 1]], 19/41803776], [[[1, 6], [2, 1], [3, 2], [12, 2], [18, 1]], 19/53747712], [[[1, 6], [2, 1], [3, 2], [14, 1], [15, 1]], 1/4354560], [[[1, 6], [2, 1], [3, 2], [14, 1], [20, 1]], 1/2903040], [[[1, 6], [2, 1], [3, 2], [14, 1], [24, 1]], 1/3483648], [[[1, 6], [2, 1], [3, 2], [14, 1], [30, 1]], 1/4354560], [[[1, 6], [2, 1], [3, 2], [15, 1], [18, 1]], 1/5598720], [[[1, 6], [2, 1], [3, 2], [18, 1], [20, 1]], 1/3732480], [[[1, 6], [2, 1], [3, 2], [18, 1], [24, 1]], 1/4478976], [[[1, 6], [2, 1], [3, 2], [18, 1], [30, 1]], 1/5598720], [[[1, 6], [2, 1], [3, 3], [4, 1], [6, 5]], 1463/278628139008], [[[1, 6], [2, 1], [3, 3], [4, 2], [5, 2]], 3931/10749542400], [[[1, 6], [2, 1], [3, 3], [4, 2], [6, 4]], 12193/2786281390080], [[[1, 6], [2, 1], [3, 3], [4, 2], [8, 2]], 205/3439853568], [[[1, 6], [2, 1], [3, 3], [4, 2], [10, 2]], 43/10749542400], [[[1, 6], [2, 1], [3, 3], [4, 2], [12, 2]], 9139/25798901760], [[[1, 6], [2, 1], [3, 3], [4, 2], [15, 1]], 43/537477120], [[[1, 6], [2, 1], [3, 3], [4, 2], [20, 1]], 43/358318080], [[[1, 6], [2, 1], [3, 3], [4, 2], [24, 1]], 43/429981696], [[[1, 6], [2, 1], [3, 3], [4, 2], [30, 1]], 43/537477120], [[[1, 6], [2, 1], [3, 3], [4, 3], [6, 3]], 31/1528823808], [[[1, 6], [2, 1], [3, 3], [4, 3], [7, 1]], 1/334430208], [[[1, 6], [2, 1], [3, 3], [4, 3], [9, 1]], 115/1289945088], [[[1, 6], [2, 1], [3, 3], [4, 4], [5, 1]], 11047/429981696000], [[[1, 6], [2, 1], [3, 3], [4, 4], [6, 2]], 192787/49533891379200], [[[1, 6], [2, 1], [3, 3], [4, 4], [8, 1]], 905/55037657088], [[[1, 6], [2, 1], [3, 3], [4, 4], [12, 1]], 467987/8255648563200], [[[1, 6], [2, 1], [3, 3], [4, 5], [6, 1]], 869/82556485632], [[[1, 6], [2, 1], [3, 3], [5, 1], [6, 4]], 70717/1451188224000], [[[1, 6], [2, 1], [3, 3], [5, 1], [8, 2]], 247/1791590400], [[[1, 6], [2, 1], [3, 3], [5, 1], [10, 2]], 247/5598720000], [[[1, 6], [2, 1], [3, 3], [5, 1], [12, 2]], 989/537477120], [[[1, 6], [2, 1], [3, 3], [5, 1], [15, 1]], 247/279936000], [[[1, 6], [2, 1], [3, 3], [5, 1], [20, 1]], 247/186624000], [[[1, 6], [2, 1], [3, 3], [5, 1], [24, 1]], 247/223948800], [[[1, 6], [2, 1], [3, 3], [5, 1], [30, 1]], 247/279936000], [[[1, 6], [2, 1], [3, 3], [5, 2], [6, 2]], 344581/644972544000], [[[1, 6], [2, 1], [3, 3], [5, 2], [8, 1]], 5209/3583180800], [[[1, 6], [2, 1], [3, 3], [5, 2], [12, 1]], 344581/107495424000], [[[1, 6], [2, 1], [3, 3], [6, 2], [8, 2]], 2437/206391214080], [[[1, 6], [2, 1], [3, 3], [6, 2], [10, 2]], 2437/644972544000], [[[1, 6], [2, 1], [3, 3], [6, 2], [12, 2]], 65587/309586821120], [[[1, 6], [2, 1], [3, 3], [6, 2], [15, 1]], 2437/32248627200], [[[1, 6], [2, 1], [3, 3], [6, 2], [20, 1]], 2437/21499084800], [[[1, 6], [2, 1], [3, 3], [6, 2], [24, 1]], 5101/25798901760], [[[1, 6], [2, 1], [3, 3], [6, 2], [30, 1]], 2437/32248627200], [[[1, 6], [2, 1], [3, 3], [6, 3], [7, 1]], 163/1128701952], [[[1, 6], [2, 1], [3, 3], [6, 3], [9, 1]], 493/4353564672], [[[1, 6], [2, 1], [3, 3], [6, 3], [18, 1]], 2437/58047528960], [[[1, 6], [2, 1], [3, 3], [6, 4], [8, 1]], 1463/185752092672], [[[1, 6], [2, 1], [3, 3], [6, 4], [12, 1]], 869767/27862813900800], [[[1, 6], [2, 1], [3, 3], [7, 1], [9, 1]], 1/839808], [[[1, 6], [2, 1], [3, 3], [7, 1], [14, 1]], 1/12192768], [[[1, 6], [2, 1], [3, 3], [7, 1], [18, 1]], 1/15676416], [[[1, 6], [2, 1], [3, 3], [8, 1], [10, 2]], 1/143327232], [[[1, 6], [2, 1], [3, 3], [8, 1], [12, 2]], 511/1719926784], [[[1, 6], [2, 1], [3, 3], [8, 1], [15, 1]], 5/35831808], [[[1, 6], [2, 1], [3, 3], [8, 1], [20, 1]], 5/23887872], [[[1, 6], [2, 1], [3, 3], [8, 1], [24, 1]], 25/143327232], [[[1, 6], [2, 1], [3, 3], [8, 1], [30, 1]], 5/35831808], [[[1, 6], [2, 1], [3, 3], [8, 2], [12, 1]], 2437/34398535680], [[[1, 6], [2, 1], [3, 3], [9, 1], [14, 1]], 1/6718464], [[[1, 6], [2, 1], [3, 3], [9, 1], [18, 1]], 7/60466176], [[[1, 6], [2, 1], [3, 3], [10, 2], [12, 1]], 2437/107495424000], [[[1, 6], [2, 1], [3, 3], [12, 1], [15, 1]], 2437/5374771200], [[[1, 6], [2, 1], [3, 3], [12, 1], [20, 1]], 2437/3583180800], [[[1, 6], [2, 1], [3, 3], [12, 1], [24, 1]], 2437/4299816960], [[[1, 6], [2, 1], [3, 3], [12, 1], [30, 1]], 2437/5374771200], [[[1, 6], [2, 1], [3, 4], [4, 1], [5, 2]], 78593/2866544640000], [[[1, 6], [2, 1], [3, 4], [4, 1], [6, 4]], 1379411/743008370688000], [[[1, 6], [2, 1], [3, 4], [4, 1], [8, 2]], 11261/917294284800], [[[1, 6], [2, 1], [3, 4], [4, 1], [10, 2]], 1601/2866544640000], [[[1, 6], [2, 1], [3, 4], [4, 1], [12, 2]], 16919/152882380800], [[[1, 6], [2, 1], [3, 4], [4, 1], [15, 1]], 1601/143327232000], [[[1, 6], [2, 1], [3, 4], [4, 1], [20, 1]], 1601/95551488000], [[[1, 6], [2, 1], [3, 4], [4, 1], [24, 1]], 1601/114661785600], [[[1, 6], [2, 1], [3, 4], [4, 1], [30, 1]], 1601/143327232000], [[[1, 6], [2, 1], [3, 4], [4, 2], [6, 3]], 105131/14860167413760], [[[1, 6], [2, 1], [3, 4], [4, 2], [7, 1]], 1607/80263249920], [[[1, 6], [2, 1], [3, 4], [4, 2], [9, 1]], 667/12899450880], [[[1, 6], [2, 1], [3, 4], [4, 2], [14, 1]], 641/160526499840], [[[1, 6], [2, 1], [3, 4], [4, 2], [18, 1]], 641/206391214080], [[[1, 6], [2, 1], [3, 4], [4, 3], [5, 1]], 1603/382205952000], [[[1, 6], [2, 1], [3, 4], [4, 3], [6, 2]], 59/20639121408], [[[1, 6], [2, 1], [3, 4], [4, 3], [8, 1]], 8983/733835427840], [[[1, 6], [2, 1], [3, 4], [4, 3], [10, 1]], 641/229323571200], [[[1, 6], [2, 1], [3, 4], [4, 3], [12, 1]], 2023/76441190400], [[[1, 6], [2, 1], [3, 4], [4, 4], [6, 1]], 109/41278242816], [[[1, 6], [2, 1], [3, 4], [5, 1], [6, 3]], 66011/967458816000], [[[1, 6], [2, 1], [3, 4], [5, 1], [7, 1]], 67/290304000], [[[1, 6], [2, 1], [3, 4], [5, 1], [9, 1]], 3829/6718464000], [[[1, 6], [2, 1], [3, 4], [5, 1], [14, 1]], 401/10450944000], [[[1, 6], [2, 1], [3, 4], [5, 1], [18, 1]], 401/13436928000], [[[1, 6], [2, 1], [3, 4], [5, 2], [6, 1]], 653/2687385600], [[[1, 6], [2, 1], [3, 4], [6, 1], [8, 2]], 5/859963392], [[[1, 6], [2, 1], [3, 4], [6, 1], [10, 2]], 1/537477120], [[[1, 6], [2, 1], [3, 4], [6, 1], [12, 2]], 197/1289945088], [[[1, 6], [2, 1], [3, 4], [6, 1], [15, 1]], 1/26873856], [[[1, 6], [2, 1], [3, 4], [6, 1], [20, 1]], 1/17915904], [[[1, 6], [2, 1], [3, 4], [6, 1], [24, 1]], 5/107495424], [[[1, 6], [2, 1], [3, 4], [6, 1], [30, 1]], 1/26873856], [[[1, 6], [2, 1], [3, 4], [6, 2], [7, 1]], 5/94058496], [[[1, 6], [2, 1], [3, 4], [6, 2], [9, 1]], 3437/58047528960], [[[1, 6], [2, 1], [3, 4], [6, 2], [14, 1]], 5/752467968], [[[1, 6], [2, 1], [3, 4], [6, 2], [18, 1]], 25/967458816], [[[1, 6], [2, 1], [3, 4], [6, 3], [8, 1]], 5/1289945088], [[[1, 6], [2, 1], [3, 4], [6, 3], [10, 1]], 1/322486272], [[[1, 6], [2, 1], [3, 4], [6, 3], [12, 1]], 581/11609505792], [[[1, 6], [2, 1], [3, 4], [7, 1], [8, 1]], 23/477757440], [[[1, 6], [2, 1], [3, 4], [7, 1], [12, 1]], 5/15676416], [[[1, 6], [2, 1], [3, 4], [8, 1], [9, 1]], 43/477757440], [[[1, 6], [2, 1], [3, 4], [9, 1], [12, 1]], 3437/9674588160], [[[1, 6], [2, 1], [3, 4], [12, 1], [14, 1]], 5/125411328], [[[1, 6], [2, 1], [3, 4], [12, 1], [18, 1]], 5/161243136], [[[1, 6], [2, 1], [3, 5], [4, 1], [6, 3]], 2057/51597803520], [[[1, 6], [2, 1], [3, 5], [4, 1], [7, 1]], 1/1672151040], [[[1, 6], [2, 1], [3, 5], [4, 1], [9, 1]], 547/85996339200], [[[1, 6], [2, 1], [3, 5], [4, 2], [5, 1]], 2693/286654464000], [[[1, 6], [2, 1], [3, 5], [4, 2], [6, 2]], 79/34398535680], [[[1, 6], [2, 1], [3, 5], [4, 2], [8, 1]], 227/91729428480], [[[1, 6], [2, 1], [3, 5], [4, 2], [12, 1]], 60011/3482851737600], [[[1, 6], [2, 1], [3, 5], [4, 3], [6, 1]], 43/27518828544], [[[1, 6], [2, 1], [3, 5], [5, 1], [6, 2]], 151/5971968000], [[[1, 6], [2, 1], [3, 5], [5, 1], [8, 1]], 269/11943936000], [[[1, 6], [2, 1], [3, 5], [5, 1], [12, 1]], 151/995328000], [[[1, 6], [2, 1], [3, 5], [6, 1], [7, 1]], 11/1254113280], [[[1, 6], [2, 1], [3, 5], [6, 1], [9, 1]], 31141/1612431360], [[[1, 6], [2, 1], [3, 5], [6, 1], [18, 1]], 24037/5224277606400], [[[1, 6], [2, 1], [3, 5], [6, 2], [8, 1]], 137/34398535680], [[[1, 6], [2, 1], [3, 5], [6, 2], [12, 1]], 603367/27862813900800], [[[1, 6], [2, 1], [3, 5], [8, 1], [12, 1]], 137/5733089280], [[[1, 6], [2, 1], [3, 6], [4, 1], [5, 1]], 1/2418647040], [[[1, 6], [2, 1], [3, 6], [4, 1], [6, 2]], 587/2751882854400], [[[1, 6], [2, 1], [3, 6], [4, 1], [8, 1]], 221/309586821120], [[[1, 6], [2, 1], [3, 6], [4, 1], [10, 1]], 13/96745881600], [[[1, 6], [2, 1], [3, 6], [4, 1], [12, 1]], 55867/37150418534400], [[[1, 6], [2, 1], [3, 6], [4, 2], [6, 1]], 47/110075314176], [[[1, 6], [2, 1], [3, 6], [5, 1], [6, 1]], 49/11943936000], [[[1, 6], [2, 1], [3, 6], [6, 1], [8, 1]], 13/116095057920], [[[1, 6], [2, 1], [3, 6], [6, 1], [10, 1]], 13/145118822400], [[[1, 6], [2, 1], [3, 6], [6, 1], [12, 1]], 661/116095057920], [[[1, 6], [2, 1], [3, 7], [4, 1], [6, 1]], 7/92876046336], [[[1, 6], [2, 1], [4, 1], [5, 1], [7, 2]], 1/125440], [[[1, 6], [2, 1], [4, 1], [5, 1], [8, 3]], 37/58982400], [[[1, 6], [2, 1], [4, 1], [5, 1], [9, 2]], 1/1866240], [[[1, 6], [2, 1], [4, 1], [5, 1], [10, 3]], 1/57600000], [[[1, 6], [2, 1], [4, 1], [5, 1], [12, 3]], 7/49766400], [[[1, 6], [2, 1], [4, 1], [5, 1], [28, 1]], 1/134400], [[[1, 6], [2, 1], [4, 1], [5, 1], [36, 1]], 1/172800], [[[1, 6], [2, 1], [4, 1], [5, 2], [6, 4]], 193/2866544640000], [[[1, 6], [2, 1], [4, 1], [5, 2], [8, 2]], 253/3538944000], [[[1, 6], [2, 1], [4, 1], [5, 2], [10, 2]], 493/11059200000], [[[1, 6], [2, 1], [4, 1], [5, 2], [12, 2]], 193/5308416000], [[[1, 6], [2, 1], [4, 1], [5, 2], [15, 1]], 193/552960000], [[[1, 6], [2, 1], [4, 1], [5, 2], [20, 1]], 193/368640000], [[[1, 6], [2, 1], [4, 1], [5, 2], [24, 1]], 193/442368000], [[[1, 6], [2, 1], [4, 1], [5, 2], [30, 1]], 193/552960000], [[[1, 6], [2, 1], [4, 1], [5, 3], [8, 1]], 7/61440000], [[[1, 6], [2, 1], [4, 1], [5, 3], [10, 1]], 1/57600000], [[[1, 6], [2, 1], [4, 1], [5, 3], [12, 1]], 1/34560000], [[[1, 6], [2, 1], [4, 1], [6, 2], [12, 3]], 1/2548039680], [[[1, 6], [2, 1], [4, 1], [6, 2], [18, 2]], 1/179159040], [[[1, 6], [2, 1], [4, 1], [6, 4], [8, 2]], 61/917294284800], [[[1, 6], [2, 1], [4, 1], [6, 4], [10, 2]], 1/2866544640000], [[[1, 6], [2, 1], [4, 1], [6, 4], [12, 2]], 271/1375941427200], [[[1, 6], [2, 1], [4, 1], [6, 4], [15, 1]], 1/143327232000], [[[1, 6], [2, 1], [4, 1], [6, 4], [20, 1]], 1/95551488000], [[[1, 6], [2, 1], [4, 1], [6, 4], [24, 1]], 1/114661785600], [[[1, 6], [2, 1], [4, 1], [6, 4], [30, 1]], 1/143327232000], [[[1, 6], [2, 1], [4, 1], [6, 5], [7, 1]], 1/5016453120], [[[1, 6], [2, 1], [4, 1], [6, 5], [9, 1]], 1/19349176320], [[[1, 6], [2, 1], [4, 1], [6, 5], [18, 1]], 1/257989017600], [[[1, 6], [2, 1], [4, 1], [6, 6], [12, 1]], 1/1375941427200], [[[1, 6], [2, 1], [4, 1], [7, 2], [8, 1]], 13/401408], [[[1, 6], [2, 1], [4, 1], [7, 2], [10, 1]], 1/125440], [[[1, 6], [2, 1], [4, 1], [7, 2], [12, 1]], 1/75264], [[[1, 6], [2, 1], [4, 1], [8, 1], [9, 2]], 17/5971968], [[[1, 6], [2, 1], [4, 1], [8, 2], [10, 2]], 61/3538944000], [[[1, 6], [2, 1], [4, 1], [8, 2], [12, 2]], 61/1698693120], [[[1, 6], [2, 1], [4, 1], [8, 2], [15, 1]], 61/176947200], [[[1, 6], [2, 1], [4, 1], [8, 2], [20, 1]], 61/117964800], [[[1, 6], [2, 1], [4, 1], [8, 2], [24, 1]], 31/47185920], [[[1, 6], [2, 1], [4, 1], [8, 2], [30, 1]], 61/176947200], [[[1, 6], [2, 1], [4, 1], [9, 2], [10, 1]], 1/1866240], [[[1, 6], [2, 1], [4, 1], [9, 2], [12, 1]], 1/1119744], [[[1, 6], [2, 1], [4, 1], [10, 2], [12, 2]], 1/5308416000], [[[1, 6], [2, 1], [4, 1], [10, 2], [15, 1]], 1/552960000], [[[1, 6], [2, 1], [4, 1], [10, 2], [20, 1]], 1/368640000], [[[1, 6], [2, 1], [4, 1], [10, 2], [24, 1]], 1/442368000], [[[1, 6], [2, 1], [4, 1], [10, 2], [30, 1]], 1/552960000], [[[1, 6], [2, 1], [4, 1], [12, 1], [36, 1]], 1/3317760], [[[1, 6], [2, 1], [4, 1], [12, 2], [15, 1]], 1/265420800], [[[1, 6], [2, 1], [4, 1], [12, 2], [20, 1]], 1/176947200], [[[1, 6], [2, 1], [4, 1], [12, 2], [24, 1]], 13/212336640], [[[1, 6], [2, 1], [4, 1], [12, 2], [30, 1]], 1/265420800], [[[1, 6], [2, 1], [4, 1], [15, 1], [20, 1]], 1/18432000], [[[1, 6], [2, 1], [4, 1], [15, 1], [24, 1]], 1/22118400], [[[1, 6], [2, 1], [4, 1], [15, 1], [30, 1]], 1/1728000], [[[1, 6], [2, 1], [4, 1], [20, 1], [24, 1]], 1/14745600], [[[1, 6], [2, 1], [4, 1], [20, 1], [30, 1]], 1/18432000], [[[1, 6], [2, 1], [4, 1], [24, 1], [30, 1]], 1/22118400], [[[1, 6], [2, 1], [4, 2], [5, 2], [6, 3]], 1/57330892800], [[[1, 6], [2, 1], [4, 2], [5, 2], [7, 1]], 1/44236800], [[[1, 6], [2, 1], [4, 2], [5, 2], [9, 1]], 1/149299200], [[[1, 6], [2, 1], [4, 2], [5, 2], [14, 1]], 1/619315200], [[[1, 6], [2, 1], [4, 2], [5, 2], [18, 1]], 1/796262400], [[[1, 6], [2, 1], [4, 2], [6, 1], [8, 3]], 121/339738624], [[[1, 6], [2, 1], [4, 2], [6, 1], [10, 3]], 1/1327104000], [[[1, 6], [2, 1], [4, 2], [6, 1], [12, 3]], 1/509607936], [[[1, 6], [2, 1], [4, 2], [6, 1], [18, 2]], 1/71663616], [[[1, 6], [2, 1], [4, 2], [6, 3], [8, 2]], 109/18345885696], [[[1, 6], [2, 1], [4, 2], [6, 3], [10, 2]], 1/57330892800], [[[1, 6], [2, 1], [4, 2], [6, 3], [12, 2]], 55/27518828544], [[[1, 6], [2, 1], [4, 2], [6, 3], [15, 1]], 1/2866544640], [[[1, 6], [2, 1], [4, 2], [6, 3], [20, 1]], 1/1911029760], [[[1, 6], [2, 1], [4, 2], [6, 3], [24, 1]], 1/2293235712], [[[1, 6], [2, 1], [4, 2], [6, 3], [30, 1]], 1/2866544640], [[[1, 6], [2, 1], [4, 2], [6, 4], [7, 1]], 1/11466178560], [[[1, 6], [2, 1], [4, 2], [6, 4], [9, 1]], 1/38698352640], [[[1, 6], [2, 1], [4, 2], [6, 4], [14, 1]], 1/160526499840], [[[1, 6], [2, 1], [4, 2], [6, 4], [18, 1]], 41/206391214080], [[[1, 6], [2, 1], [4, 2], [6, 5], [8, 1]], 13/275188285440], [[[1, 6], [2, 1], [4, 2], [6, 5], [10, 1]], 1/343985356800], [[[1, 6], [2, 1], [4, 2], [6, 5], [12, 1]], 11/275188285440], [[[1, 6], [2, 1], [4, 2], [7, 1], [8, 2]], 1195/99090432], [[[1, 6], [2, 1], [4, 2], [7, 1], [10, 2]], 1/44236800], [[[1, 6], [2, 1], [4, 2], [7, 1], [12, 2]], 1/21233664], [[[1, 6], [2, 1], [4, 2], [7, 1], [15, 1]], 1/2211840], [[[1, 6], [2, 1], [4, 2], [7, 1], [20, 1]], 1/1474560], [[[1, 6], [2, 1], [4, 2], [7, 1], [24, 1]], 1/1769472], [[[1, 6], [2, 1], [4, 2], [7, 1], [30, 1]], 1/2211840], [[[1, 6], [2, 1], [4, 2], [8, 2], [9, 1]], 163/47775744], [[[1, 6], [2, 1], [4, 2], [8, 2], [14, 1]], 109/198180864], [[[1, 6], [2, 1], [4, 2], [8, 2], [18, 1]], 109/254803968], [[[1, 6], [2, 1], [4, 2], [9, 1], [10, 2]], 1/149299200], [[[1, 6], [2, 1], [4, 2], [9, 1], [12, 2]], 1/71663616], [[[1, 6], [2, 1], [4, 2], [9, 1], [15, 1]], 1/7464960], [[[1, 6], [2, 1], [4, 2], [9, 1], [20, 1]], 1/4976640], [[[1, 6], [2, 1], [4, 2], [9, 1], [24, 1]], 1/5971968], [[[1, 6], [2, 1], [4, 2], [9, 1], [30, 1]], 1/7464960], [[[1, 6], [2, 1], [4, 2], [10, 2], [14, 1]], 1/619315200], [[[1, 6], [2, 1], [4, 2], [10, 2], [18, 1]], 1/796262400], [[[1, 6], [2, 1], [4, 2], [12, 2], [14, 1]], 1/297271296], [[[1, 6], [2, 1], [4, 2], [12, 2], [18, 1]], 1/382205952], [[[1, 6], [2, 1], [4, 2], [14, 1], [15, 1]], 1/30965760], [[[1, 6], [2, 1], [4, 2], [14, 1], [20, 1]], 1/20643840], [[[1, 6], [2, 1], [4, 2], [14, 1], [24, 1]], 1/24772608], [[[1, 6], [2, 1], [4, 2], [14, 1], [30, 1]], 1/30965760], [[[1, 6], [2, 1], [4, 2], [15, 1], [18, 1]], 1/39813120], [[[1, 6], [2, 1], [4, 2], [18, 1], [20, 1]], 1/26542080], [[[1, 6], [2, 1], [4, 2], [18, 1], [24, 1]], 1/31850496], [[[1, 6], [2, 1], [4, 2], [18, 1], [30, 1]], 1/39813120], [[[1, 6], [2, 1], [4, 3], [5, 1], [6, 4]], 1/127401984000], [[[1, 6], [2, 1], [4, 3], [5, 1], [8, 2]], 247/471859200], [[[1, 6], [2, 1], [4, 3], [5, 1], [10, 2]], 1/491520000], [[[1, 6], [2, 1], [4, 3], [5, 1], [12, 2]], 103/141557760], [[[1, 6], [2, 1], [4, 3], [5, 1], [15, 1]], 1/24576000], [[[1, 6], [2, 1], [4, 3], [5, 1], [16, 1]], 1/1843200], [[[1, 6], [2, 1], [4, 3], [5, 1], [20, 1]], 53/29491200], [[[1, 6], [2, 1], [4, 3], [5, 1], [24, 1]], 1/19660800], [[[1, 6], [2, 1], [4, 3], [5, 1], [30, 1]], 1/24576000], [[[1, 6], [2, 1], [4, 3], [5, 2], [8, 1]], 23/2831155200], [[[1, 6], [2, 1], [4, 3], [5, 2], [10, 1]], 1/884736000], [[[1, 6], [2, 1], [4, 3], [5, 2], [12, 1]], 391/2654208000], [[[1, 6], [2, 1], [4, 3], [6, 2], [12, 2]], 7/1274019840], [[[1, 6], [2, 1], [4, 3], [6, 4], [8, 1]], 23/733835427840], [[[1, 6], [2, 1], [4, 3], [6, 4], [10, 1]], 1/229323571200], [[[1, 6], [2, 1], [4, 3], [6, 4], [12, 1]], 7/687970713600], [[[1, 6], [2, 1], [4, 3], [7, 1], [9, 1]], 1/4644864], [[[1, 6], [2, 1], [4, 3], [7, 1], [14, 1]], 1/2064384], [[[1, 6], [2, 1], [4, 3], [8, 1], [10, 2]], 23/2831155200], [[[1, 6], [2, 1], [4, 3], [8, 1], [12, 2]], 23/1358954496], [[[1, 6], [2, 1], [4, 3], [8, 1], [15, 1]], 23/141557760], [[[1, 6], [2, 1], [4, 3], [8, 1], [16, 1]], 7/5898240], [[[1, 6], [2, 1], [4, 3], [8, 1], [20, 1]], 11/18874368], [[[1, 6], [2, 1], [4, 3], [8, 1], [24, 1]], 29/37748736], [[[1, 6], [2, 1], [4, 3], [8, 1], [30, 1]], 23/141557760], [[[1, 6], [2, 1], [4, 3], [8, 2], [10, 1]], 109/283115520], [[[1, 6], [2, 1], [4, 3], [8, 2], [12, 1]], 691/849346560], [[[1, 6], [2, 1], [4, 3], [9, 1], [18, 1]], 1/2654208], [[[1, 6], [2, 1], [4, 3], [10, 1], [12, 2]], 1/424673280], [[[1, 6], [2, 1], [4, 3], [10, 1], [15, 1]], 1/44236800], [[[1, 6], [2, 1], [4, 3], [10, 1], [20, 1]], 1/29491200], [[[1, 6], [2, 1], [4, 3], [10, 1], [24, 1]], 1/35389440], [[[1, 6], [2, 1], [4, 3], [10, 1], [30, 1]], 1/44236800], [[[1, 6], [2, 1], [4, 3], [10, 2], [12, 1]], 7/2654208000], [[[1, 6], [2, 1], [4, 3], [12, 1], [15, 1]], 7/132710400], [[[1, 6], [2, 1], [4, 3], [12, 1], [16, 1]], 1/3538944], [[[1, 6], [2, 1], [4, 3], [12, 1], [20, 1]], 17/29491200], [[[1, 6], [2, 1], [4, 3], [12, 1], [24, 1]], 49/106168320], [[[1, 6], [2, 1], [4, 3], [12, 1], [30, 1]], 7/132710400], [[[1, 6], [2, 1], [4, 4], [5, 1], [6, 3]], 1/286654464000], [[[1, 6], [2, 1], [4, 4], [5, 1], [7, 1]], 1/258048000], [[[1, 6], [2, 1], [4, 4], [5, 1], [9, 1]], 7/5971968000], [[[1, 6], [2, 1], [4, 4], [5, 1], [14, 1]], 1/3096576000], [[[1, 6], [2, 1], [4, 4], [5, 1], [18, 1]], 1/3981312000], [[[1, 6], [2, 1], [4, 4], [6, 1], [12, 2]], 1/127401984], [[[1, 6], [2, 1], [4, 4], [6, 3], [12, 1]], 1/6879707136], [[[1, 6], [2, 1], [4, 4], [7, 1], [8, 1]], 181/990904320], [[[1, 6], [2, 1], [4, 4], [7, 1], [12, 1]], 1/5308416], [[[1, 6], [2, 1], [4, 4], [8, 1], [9, 1]], 181/3822059520], [[[1, 6], [2, 1], [4, 4], [9, 1], [12, 1]], 1/17915904], [[[1, 6], [2, 1], [4, 4], [12, 1], [14, 1]], 1/74317824], [[[1, 6], [2, 1], [4, 4], [12, 1], [18, 1]], 1/95551488], [[[1, 6], [2, 1], [4, 5], [5, 1], [8, 1]], 71/4718592000], [[[1, 6], [2, 1], [4, 5], [5, 1], [10, 1]], 1/4423680000], [[[1, 6], [2, 1], [4, 5], [5, 1], [12, 1]], 11/265420800], [[[1, 6], [2, 1], [4, 5], [6, 1], [7, 1]], 1/1486356480], [[[1, 6], [2, 1], [4, 5], [6, 1], [9, 1]], 1/5733089280], [[[1, 6], [2, 1], [4, 5], [6, 1], [18, 1]], 17/25480396800], [[[1, 6], [2, 1], [4, 5], [6, 2], [12, 1]], 17/135895449600], [[[1, 6], [2, 1], [4, 5], [8, 1], [12, 1]], 47/339738624], [[[1, 6], [2, 1], [4, 5], [10, 1], [12, 1]], 1/106168320], [[[1, 6], [2, 1], [4, 6], [6, 1], [8, 1]], 13/81537269760], [[[1, 6], [2, 1], [4, 6], [6, 1], [10, 1]], 1/101921587200], [[[1, 6], [2, 1], [4, 6], [6, 1], [12, 1]], 1/81537269760], [[[1, 6], [2, 1], [5, 1], [6, 1], [8, 3]], 1/22118400], [[[1, 6], [2, 1], [5, 1], [6, 1], [10, 3]], 1/86400000], [[[1, 6], [2, 1], [5, 1], [6, 1], [12, 3]], 1/33177600], [[[1, 6], [2, 1], [5, 1], [6, 1], [18, 2]], 1/4665600], [[[1, 6], [2, 1], [5, 1], [6, 3], [8, 2]], 1/1194393600], [[[1, 6], [2, 1], [5, 1], [6, 3], [10, 2]], 1/3732480000], [[[1, 6], [2, 1], [5, 1], [6, 3], [12, 2]], 11/358318080], [[[1, 6], [2, 1], [5, 1], [6, 3], [15, 1]], 1/186624000], [[[1, 6], [2, 1], [5, 1], [6, 3], [20, 1]], 1/124416000], [[[1, 6], [2, 1], [5, 1], [6, 3], [24, 1]], 1/149299200], [[[1, 6], [2, 1], [5, 1], [6, 3], [30, 1]], 1/186624000], [[[1, 6], [2, 1], [5, 1], [6, 4], [7, 1]], 1/870912000], [[[1, 6], [2, 1], [5, 1], [6, 4], [9, 1]], 7/20155392000], [[[1, 6], [2, 1], [5, 1], [6, 4], [14, 1]], 1/10450944000], [[[1, 6], [2, 1], [5, 1], [6, 4], [18, 1]], 41/13436928000], [[[1, 6], [2, 1], [5, 1], [6, 5], [8, 1]], 1/17915904000], [[[1, 6], [2, 1], [5, 1], [6, 5], [10, 1]], 1/22394880000], [[[1, 6], [2, 1], [5, 1], [6, 5], [12, 1]], 11/17915904000], [[[1, 6], [2, 1], [5, 1], [7, 1], [8, 2]], 1/1075200], [[[1, 6], [2, 1], [5, 1], [7, 1], [10, 2]], 1/3360000], [[[1, 6], [2, 1], [5, 1], [7, 1], [12, 2]], 1/1612800], [[[1, 6], [2, 1], [5, 1], [7, 1], [15, 1]], 1/168000], [[[1, 6], [2, 1], [5, 1], [7, 1], [20, 1]], 1/112000], [[[1, 6], [2, 1], [5, 1], [7, 1], [24, 1]], 1/134400], [[[1, 6], [2, 1], [5, 1], [7, 1], [30, 1]], 1/168000], [[[1, 6], [2, 1], [5, 1], [8, 2], [9, 1]], 7/24883200], [[[1, 6], [2, 1], [5, 1], [8, 2], [14, 1]], 1/12902400], [[[1, 6], [2, 1], [5, 1], [8, 2], [18, 1]], 1/16588800], [[[1, 6], [2, 1], [5, 1], [9, 1], [10, 2]], 7/77760000], [[[1, 6], [2, 1], [5, 1], [9, 1], [12, 2]], 7/37324800], [[[1, 6], [2, 1], [5, 1], [9, 1], [15, 1]], 7/3888000], [[[1, 6], [2, 1], [5, 1], [9, 1], [20, 1]], 7/2592000], [[[1, 6], [2, 1], [5, 1], [9, 1], [24, 1]], 7/3110400], [[[1, 6], [2, 1], [5, 1], [9, 1], [30, 1]], 7/3888000], [[[1, 6], [2, 1], [5, 1], [10, 2], [14, 1]], 1/40320000], [[[1, 6], [2, 1], [5, 1], [10, 2], [18, 1]], 1/51840000], [[[1, 6], [2, 1], [5, 1], [12, 2], [14, 1]], 1/19353600], [[[1, 6], [2, 1], [5, 1], [12, 2], [18, 1]], 1/24883200], [[[1, 6], [2, 1], [5, 1], [14, 1], [15, 1]], 1/2016000], [[[1, 6], [2, 1], [5, 1], [14, 1], [20, 1]], 1/1344000], [[[1, 6], [2, 1], [5, 1], [14, 1], [24, 1]], 1/1612800], [[[1, 6], [2, 1], [5, 1], [14, 1], [30, 1]], 1/2016000], [[[1, 6], [2, 1], [5, 1], [15, 1], [18, 1]], 1/2592000], [[[1, 6], [2, 1], [5, 1], [18, 1], [20, 1]], 1/1728000], [[[1, 6], [2, 1], [5, 1], [18, 1], [24, 1]], 1/2073600], [[[1, 6], [2, 1], [5, 1], [18, 1], [30, 1]], 1/2592000], [[[1, 6], [2, 1], [5, 2], [7, 1], [8, 1]], 1/12902400], [[[1, 6], [2, 1], [5, 2], [8, 1], [9, 1]], 1/49766400], [[[1, 6], [2, 1], [5, 3], [6, 1], [8, 1]], 1/69120000], [[[1, 6], [2, 1], [5, 3], [6, 1], [10, 1]], 1/86400000], [[[1, 6], [2, 1], [5, 3], [6, 1], [12, 1]], 1/69120000], [[[1, 6], [2, 1], [6, 1], [7, 2], [8, 1]], 1/150528], [[[1, 6], [2, 1], [6, 1], [7, 2], [10, 1]], 1/188160], [[[1, 6], [2, 1], [6, 1], [7, 2], [12, 1]], 1/150528], [[[1, 6], [2, 1], [6, 1], [8, 1], [9, 2]], 1/2239488], [[[1, 6], [2, 1], [6, 1], [9, 2], [10, 1]], 1/2799360], [[[1, 6], [2, 1], [6, 1], [9, 2], [12, 1]], 1/2239488], [[[1, 6], [2, 1], [6, 3], [7, 1], [9, 1]], 1/15676416], [[[1, 6], [2, 1], [6, 4], [7, 1], [8, 1]], 1/3344302080], [[[1, 6], [2, 1], [6, 4], [8, 1], [9, 1]], 1/12899450880], [[[1, 6], [2, 1], [7, 1], [8, 1], [10, 2]], 1/12902400], [[[1, 6], [2, 1], [7, 1], [8, 1], [12, 2]], 1/6193152], [[[1, 6], [2, 1], [7, 1], [8, 1], [15, 1]], 1/645120], [[[1, 6], [2, 1], [7, 1], [8, 1], [20, 1]], 1/430080], [[[1, 6], [2, 1], [7, 1], [8, 1], [24, 1]], 1/516096], [[[1, 6], [2, 1], [7, 1], [8, 1], [30, 1]], 1/645120], [[[1, 6], [2, 1], [7, 1], [9, 1], [14, 1]], 1/169344], [[[1, 6], [2, 1], [7, 1], [9, 1], [18, 1]], 1/217728], [[[1, 6], [2, 1], [8, 1], [9, 1], [10, 2]], 1/49766400], [[[1, 6], [2, 1], [8, 1], [9, 1], [12, 2]], 1/23887872], [[[1, 6], [2, 1], [8, 1], [9, 1], [15, 1]], 1/2488320], [[[1, 6], [2, 1], [8, 1], [9, 1], [20, 1]], 1/1658880], [[[1, 6], [2, 1], [8, 1], [9, 1], [24, 1]], 1/1990656], [[[1, 6], [2, 1], [8, 1], [9, 1], [30, 1]], 1/2488320], [[[1, 6], [2, 3], [3, 1], [4, 1], [5, 3]], 4337/663552000], [[[1, 6], [2, 3], [3, 1], [4, 1], [6, 6]], 58519/12383472844800], [[[1, 6], [2, 3], [3, 1], [4, 1], [7, 2]], 1/64512], [[[1, 6], [2, 3], [3, 1], [4, 1], [8, 3]], 69877/15288238080], [[[1, 6], [2, 3], [3, 1], [4, 1], [9, 2]], 733/179159040], [[[1, 6], [2, 3], [3, 1], [4, 1], [10, 3]], 31/414720000], [[[1, 6], [2, 3], [3, 1], [4, 1], [12, 3]], 3221/11466178560], [[[1, 6], [2, 3], [3, 1], [4, 1], [14, 2]], 1/602112], [[[1, 6], [2, 3], [3, 1], [4, 1], [18, 2]], 1/995328], [[[1, 6], [2, 3], [3, 1], [4, 1], [28, 1]], 17/1935360], [[[1, 6], [2, 3], [3, 1], [4, 1], [36, 1]], 17/2488320], [[[1, 6], [2, 3], [3, 1], [4, 2], [6, 5]], 1010603/111451255603200], [[[1, 6], [2, 3], [3, 1], [4, 3], [5, 2]], 26621/7077888000], [[[1, 6], [2, 3], [3, 1], [4, 3], [6, 4]], 206773/16511297126400], [[[1, 6], [2, 3], [3, 1], [4, 3], [8, 2]], 189449/6794772480], [[[1, 6], [2, 3], [3, 1], [4, 3], [10, 2]], 8077/7077888000], [[[1, 6], [2, 3], [3, 1], [4, 3], [12, 2]], 394373/30576476160], [[[1, 6], [2, 3], [3, 1], [4, 3], [15, 1]], 397/353894400], [[[1, 6], [2, 3], [3, 1], [4, 3], [16, 1]], 587/26542080], [[[1, 6], [2, 3], [3, 1], [4, 3], [20, 1]], 8497/424673280], [[[1, 6], [2, 3], [3, 1], [4, 3], [24, 1]], 397/283115520], [[[1, 6], [2, 3], [3, 1], [4, 3], [30, 1]], 397/353894400], [[[1, 6], [2, 3], [3, 1], [4, 4], [6, 3]], 838001/44580502241280], [[[1, 6], [2, 3], [3, 1], [4, 4], [7, 1]], 23881/22295347200], [[[1, 6], [2, 3], [3, 1], [4, 4], [9, 1]], 521593/917294284800], [[[1, 6], [2, 3], [3, 1], [4, 4], [14, 1]], 49999/114661785600], [[[1, 6], [2, 3], [3, 1], [4, 4], [18, 1]], 202961/619173642240], [[[1, 6], [2, 3], [3, 1], [4, 5], [5, 1]], 166399/254803968000], [[[1, 6], [2, 3], [3, 1], [4, 5], [6, 2]], 136823/1223059046400], [[[1, 6], [2, 3], [3, 1], [4, 5], [8, 1]], 16831603/3669177139200], [[[1, 6], [2, 3], [3, 1], [4, 5], [10, 1]], 4853/15925248000], [[[1, 6], [2, 3], [3, 1], [4, 5], [12, 1]], 1840709/611529523200], [[[1, 6], [2, 3], [3, 1], [4, 6], [6, 1]], 2017793/33022594252800], [[[1, 6], [2, 3], [3, 1], [5, 1], [6, 5]], 521/21499084800], [[[1, 6], [2, 3], [3, 1], [5, 2], [6, 3]], 75359/580475289600], [[[1, 6], [2, 3], [3, 1], [5, 2], [7, 1]], 5503/290304000], [[[1, 6], [2, 3], [3, 1], [5, 2], [9, 1]], 130699/11943936000], [[[1, 6], [2, 3], [3, 1], [5, 2], [14, 1]], 124759/10450944000], [[[1, 6], [2, 3], [3, 1], [5, 2], [18, 1]], 62399/8062156800], [[[1, 6], [2, 3], [3, 1], [5, 3], [6, 1]], 91/248832000], [[[1, 6], [2, 3], [3, 1], [6, 1], [7, 2]], 1/28224], [[[1, 6], [2, 3], [3, 1], [6, 1], [8, 3]], 161/70778880], [[[1, 6], [2, 3], [3, 1], [6, 1], [9, 2]], 17/2519424], [[[1, 6], [2, 3], [3, 1], [6, 1], [10, 3]], 1963/22394880000], [[[1, 6], [2, 3], [3, 1], [6, 1], [12, 3]], 335/5159780352], [[[1, 6], [2, 3], [3, 1], [6, 1], [14, 2]], 1/451584], [[[1, 6], [2, 3], [3, 1], [6, 1], [18, 2]], 1163/725594112], [[[1, 6], [2, 3], [3, 1], [6, 3], [8, 2]], 213383/185752092672], [[[1, 6], [2, 3], [3, 1], [6, 3], [10, 2]], 363071/580475289600], [[[1, 6], [2, 3], [3, 1], [6, 3], [12, 2]], 311177/278628139008], [[[1, 6], [2, 3], [3, 1], [6, 3], [15, 1]], 13151/29023764480], [[[1, 6], [2, 3], [3, 1], [6, 3], [20, 1]], 13151/19349176320], [[[1, 6], [2, 3], [3, 1], [6, 3], [24, 1]], 13151/23219011584], [[[1, 6], [2, 3], [3, 1], [6, 3], [30, 1]], 13151/29023764480], [[[1, 6], [2, 3], [3, 1], [6, 4], [7, 1]], 7633/10749542400], [[[1, 6], [2, 3], [3, 1], [6, 4], [9, 1]], 763723/3095868211200], [[[1, 6], [2, 3], [3, 1], [6, 4], [14, 1]], 324343/2708884684800], [[[1, 6], [2, 3], [3, 1], [6, 4], [18, 1]], 720631/2089711042560], [[[1, 6], [2, 3], [3, 1], [6, 5], [8, 1]], 39469/515978035200], [[[1, 6], [2, 3], [3, 1], [6, 5], [10, 1]], 342163/5804752896000], [[[1, 6], [2, 3], [3, 1], [6, 5], [12, 1]], 67841/557256278016], [[[1, 6], [2, 3], [3, 1], [7, 1], [8, 2]], 751/92897280], [[[1, 6], [2, 3], [3, 1], [7, 1], [10, 2]], 31/290304000], [[[1, 6], [2, 3], [3, 1], [7, 1], [12, 2]], 31/139345920], [[[1, 6], [2, 3], [3, 1], [7, 1], [15, 1]], 31/14515200], [[[1, 6], [2, 3], [3, 1], [7, 1], [20, 1]], 31/9676800], [[[1, 6], [2, 3], [3, 1], [7, 1], [24, 1]], 31/11612160], [[[1, 6], [2, 3], [3, 1], [7, 1], [30, 1]], 31/14515200], [[[1, 6], [2, 3], [3, 1], [8, 2], [9, 1]], 11683/3822059520], [[[1, 6], [2, 3], [3, 1], [8, 2], [14, 1]], 3583/3344302080], [[[1, 6], [2, 3], [3, 1], [8, 2], [18, 1]], 2135/2579890176], [[[1, 6], [2, 3], [3, 1], [9, 1], [10, 2]], 523/11943936000], [[[1, 6], [2, 3], [3, 1], [9, 1], [12, 2]], 523/5733089280], [[[1, 6], [2, 3], [3, 1], [9, 1], [15, 1]], 523/597196800], [[[1, 6], [2, 3], [3, 1], [9, 1], [20, 1]], 523/398131200], [[[1, 6], [2, 3], [3, 1], [9, 1], [24, 1]], 523/477757440], [[[1, 6], [2, 3], [3, 1], [9, 1], [30, 1]], 523/597196800], [[[1, 6], [2, 3], [3, 1], [10, 2], [14, 1]], 49/1492992000], [[[1, 6], [2, 3], [3, 1], [10, 2], [18, 1]], 191/8062156800], [[[1, 6], [2, 3], [3, 1], [12, 2], [14, 1]], 49/716636160], [[[1, 6], [2, 3], [3, 1], [12, 2], [18, 1]], 191/3869835264], [[[1, 6], [2, 3], [3, 1], [14, 1], [15, 1]], 49/74649600], [[[1, 6], [2, 3], [3, 1], [14, 1], [20, 1]], 49/49766400], [[[1, 6], [2, 3], [3, 1], [14, 1], [24, 1]], 49/59719680], [[[1, 6], [2, 3], [3, 1], [14, 1], [30, 1]], 49/74649600], [[[1, 6], [2, 3], [3, 1], [15, 1], [18, 1]], 191/403107840], [[[1, 6], [2, 3], [3, 1], [18, 1], [20, 1]], 191/268738560], [[[1, 6], [2, 3], [3, 1], [18, 1], [24, 1]], 191/322486272], [[[1, 6], [2, 3], [3, 1], [18, 1], [30, 1]], 191/403107840], [[[1, 6], [2, 3], [3, 2], [4, 1], [6, 5]], 35923/386983526400], [[[1, 6], [2, 3], [3, 2], [4, 2], [5, 2]], 140341/19110297600], [[[1, 6], [2, 3], [3, 2], [4, 2], [6, 4]], 1093577/4953389137920], [[[1, 6], [2, 3], [3, 2], [4, 2], [8, 2]], 111613/6115295232], [[[1, 6], [2, 3], [3, 2], [4, 2], [10, 2]], 9661/19110297600], [[[1, 6], [2, 3], [3, 2], [4, 2], [12, 2]], 86713/9172942848], [[[1, 6], [2, 3], [3, 2], [4, 2], [15, 1]], 1597/955514880], [[[1, 6], [2, 3], [3, 2], [4, 2], [16, 1]], 7/663552], [[[1, 6], [2, 3], [3, 2], [4, 2], [20, 1]], 6973/637009920], [[[1, 6], [2, 3], [3, 2], [4, 2], [24, 1]], 1597/764411904], [[[1, 6], [2, 3], [3, 2], [4, 2], [30, 1]], 1597/955514880], [[[1, 6], [2, 3], [3, 2], [4, 3], [6, 3]], 11595097/4953389137920], [[[1, 6], [2, 3], [3, 2], [4, 3], [7, 1]], 59/55738368], [[[1, 6], [2, 3], [3, 2], [4, 3], [9, 1]], 6773/5733089280], [[[1, 6], [2, 3], [3, 2], [4, 3], [14, 1]], 5/6967296], [[[1, 6], [2, 3], [3, 2], [4, 3], [18, 1]], 101/214990848], [[[1, 6], [2, 3], [3, 2], [4, 4], [5, 1]], 569/637009920], [[[1, 6], [2, 3], [3, 2], [4, 4], [6, 2]], 314917921/264180754022400], [[[1, 6], [2, 3], [3, 2], [4, 4], [8, 1]], 142249/57330892800], [[[1, 6], [2, 3], [3, 2], [4, 4], [10, 1]], 22883/57330892800], [[[1, 6], [2, 3], [3, 2], [4, 4], [12, 1]], 33822187/14676708556800], [[[1, 6], [2, 3], [3, 2], [4, 5], [6, 1]], 9913/8493465600], [[[1, 6], [2, 3], [3, 2], [5, 1], [6, 4]], 1133/2687385600], [[[1, 6], [2, 3], [3, 2], [5, 1], [8, 2]], 331/66355200], [[[1, 6], [2, 3], [3, 2], [5, 1], [10, 2]], 1/8294400], [[[1, 6], [2, 3], [3, 2], [5, 1], [12, 2]], 289/99532800], [[[1, 6], [2, 3], [3, 2], [5, 1], [15, 1]], 1/414720], [[[1, 6], [2, 3], [3, 2], [5, 1], [20, 1]], 1/276480], [[[1, 6], [2, 3], [3, 2], [5, 1], [24, 1]], 1/331776], [[[1, 6], [2, 3], [3, 2], [5, 1], [30, 1]], 1/414720], [[[1, 6], [2, 3], [3, 2], [5, 2], [6, 2]], 7953283/3439853568000], [[[1, 6], [2, 3], [3, 2], [5, 2], [8, 1]], 6907/746496000], [[[1, 6], [2, 3], [3, 2], [5, 2], [10, 1]], 2399/746496000], [[[1, 6], [2, 3], [3, 2], [5, 2], [12, 1]], 473227/63700992000], [[[1, 6], [2, 3], [3, 2], [6, 2], [8, 2]], 6434011/1100753141760], [[[1, 6], [2, 3], [3, 2], [6, 2], [10, 2]], 1500931/3439853568000], [[[1, 6], [2, 3], [3, 2], [6, 2], [12, 2]], 12095173/1651129712640], [[[1, 6], [2, 3], [3, 2], [6, 2], [15, 1]], 671491/171992678400], [[[1, 6], [2, 3], [3, 2], [6, 2], [20, 1]], 671491/114661785600], [[[1, 6], [2, 3], [3, 2], [6, 2], [24, 1]], 2337499/137594142720], [[[1, 6], [2, 3], [3, 2], [6, 2], [30, 1]], 671491/171992678400], [[[1, 6], [2, 3], [3, 2], [6, 3], [7, 1]], 39013/9029615616], [[[1, 6], [2, 3], [3, 2], [6, 3], [9, 1]], 103343/52242776064], [[[1, 6], [2, 3], [3, 2], [6, 3], [14, 1]], 23755/18059231232], [[[1, 6], [2, 3], [3, 2], [6, 3], [18, 1]], 2894273/928760463360], [[[1, 6], [2, 3], [3, 2], [6, 4], [8, 1]], 156149/193491763200], [[[1, 6], [2, 3], [3, 2], [6, 4], [10, 1]], 7813/12093235200], [[[1, 6], [2, 3], [3, 2], [6, 4], [12, 1]], 64486907/49533891379200], [[[1, 6], [2, 3], [3, 2], [7, 1], [9, 1]], 181/26127360], [[[1, 6], [2, 3], [3, 2], [7, 1], [14, 1]], 1/31752], [[[1, 6], [2, 3], [3, 2], [7, 1], [18, 1]], 37/7838208], [[[1, 6], [2, 3], [3, 2], [8, 1], [10, 2]], 49/746496000], [[[1, 6], [2, 3], [3, 2], [8, 1], [12, 2]], 1403/716636160], [[[1, 6], [2, 3], [3, 2], [8, 1], [15, 1]], 49/37324800], [[[1, 6], [2, 3], [3, 2], [8, 1], [16, 1]], 7/1327104], [[[1, 6], [2, 3], [3, 2], [8, 1], [20, 1]], 49/24883200], [[[1, 6], [2, 3], [3, 2], [8, 1], [24, 1]], 49/29859840], [[[1, 6], [2, 3], [3, 2], [8, 1], [30, 1]], 49/37324800], [[[1, 6], [2, 3], [3, 2], [8, 2], [10, 1]], 23/238878720], [[[1, 6], [2, 3], [3, 2], [8, 2], [12, 1]], 42019/20384317440], [[[1, 6], [2, 3], [3, 2], [9, 1], [14, 1]], 3103/940584960], [[[1, 6], [2, 3], [3, 2], [9, 1], [18, 1]], 6143/725594112], [[[1, 6], [2, 3], [3, 2], [10, 1], [12, 2]], 437/358318080], [[[1, 6], [2, 3], [3, 2], [10, 1], [15, 1]], 23/37324800], [[[1, 6], [2, 3], [3, 2], [10, 1], [20, 1]], 23/24883200], [[[1, 6], [2, 3], [3, 2], [10, 1], [24, 1]], 23/29859840], [[[1, 6], [2, 3], [3, 2], [10, 1], [30, 1]], 23/37324800], [[[1, 6], [2, 3], [3, 2], [10, 2], [12, 1]], 2059/63700992000], [[[1, 6], [2, 3], [3, 2], [12, 1], [15, 1]], 2059/3185049600], [[[1, 6], [2, 3], [3, 2], [12, 1], [20, 1]], 2059/2123366400], [[[1, 6], [2, 3], [3, 2], [12, 1], [24, 1]], 2059/2548039680], [[[1, 6], [2, 3], [3, 2], [12, 1], [30, 1]], 2059/3185049600], [[[1, 6], [2, 3], [3, 2], [14, 1], [18, 1]], 25/15676416], [[[1, 6], [2, 3], [3, 3], [4, 1], [5, 2]], 2266807/429981696000], [[[1, 6], [2, 3], [3, 3], [4, 1], [6, 4]], 148497149/111451255603200], [[[1, 6], [2, 3], [3, 3], [4, 1], [8, 2]], 496939/137594142720], [[[1, 6], [2, 3], [3, 3], [4, 1], [10, 2]], 30199/429981696000], [[[1, 6], [2, 3], [3, 3], [4, 1], [12, 2]], 854833/206391214080], [[[1, 6], [2, 3], [3, 3], [4, 1], [15, 1]], 21559/21499084800], [[[1, 6], [2, 3], [3, 3], [4, 1], [16, 1]], 1/11943936], [[[1, 6], [2, 3], [3, 3], [4, 1], [20, 1]], 21559/14332723200], [[[1, 6], [2, 3], [3, 3], [4, 1], [24, 1]], 21559/17199267840], [[[1, 6], [2, 3], [3, 3], [4, 1], [30, 1]], 21559/21499084800], [[[1, 6], [2, 3], [3, 3], [4, 2], [6, 3]], 78524651/11145125560320], [[[1, 6], [2, 3], [3, 3], [4, 2], [7, 1]], 17/42467328], [[[1, 6], [2, 3], [3, 3], [4, 2], [9, 1]], 11755/10319560704], [[[1, 6], [2, 3], [3, 3], [4, 2], [14, 1]], 2341/8026324992], [[[1, 6], [2, 3], [3, 3], [4, 2], [18, 1]], 5647/30958682112], [[[1, 6], [2, 3], [3, 3], [4, 3], [5, 1]], 36817/57330892800], [[[1, 6], [2, 3], [3, 3], [4, 3], [6, 2]], 10503677/1651129712640], [[[1, 6], [2, 3], [3, 3], [4, 3], [8, 1]], 17717/18345885696], [[[1, 6], [2, 3], [3, 3], [4, 3], [10, 1]], 37/254803968], [[[1, 6], [2, 3], [3, 3], [4, 3], [12, 1]], 206291/165112971264], [[[1, 6], [2, 3], [3, 3], [4, 4], [6, 1]], 634891/1651129712640], [[[1, 6], [2, 3], [3, 3], [5, 1], [6, 3]], 735583/290237644800], [[[1, 6], [2, 3], [3, 3], [5, 1], [7, 1]], 727/130636800], [[[1, 6], [2, 3], [3, 3], [5, 1], [9, 1]], 697/167961600], [[[1, 6], [2, 3], [3, 3], [5, 1], [14, 1]], 13/3628800], [[[1, 6], [2, 3], [3, 3], [5, 1], [18, 1]], 1157/503884800], [[[1, 6], [2, 3], [3, 3], [5, 2], [6, 1]], 12587/1433272320], [[[1, 6], [2, 3], [3, 3], [6, 1], [8, 2]], 2261/764411904], [[[1, 6], [2, 3], [3, 3], [6, 1], [10, 2]], 823/7166361600], [[[1, 6], [2, 3], [3, 3], [6, 1], [12, 2]], 60259/10319560704], [[[1, 6], [2, 3], [3, 3], [6, 1], [15, 1]], 727/358318080], [[[1, 6], [2, 3], [3, 3], [6, 1], [20, 1]], 727/238878720], [[[1, 6], [2, 3], [3, 3], [6, 1], [24, 1]], 2071/286654464], [[[1, 6], [2, 3], [3, 3], [6, 1], [30, 1]], 727/358318080], [[[1, 6], [2, 3], [3, 3], [6, 2], [7, 1]], 26539/7524679680], [[[1, 6], [2, 3], [3, 3], [6, 2], [9, 1]], 3218057/928760463360], [[[1, 6], [2, 3], [3, 3], [6, 2], [14, 1]], 24583/30098718720], [[[1, 6], [2, 3], [3, 3], [6, 2], [18, 1]], 39947/23219011584], [[[1, 6], [2, 3], [3, 3], [6, 3], [8, 1]], 607069/464380231680], [[[1, 6], [2, 3], [3, 3], [6, 3], [10, 1]], 9281/21499084800], [[[1, 6], [2, 3], [3, 3], [6, 3], [12, 1]], 556781/278628139008], [[[1, 6], [2, 3], [3, 3], [7, 1], [8, 1]], 283/83607552], [[[1, 6], [2, 3], [3, 3], [7, 1], [10, 1]], 17/104509440], [[[1, 6], [2, 3], [3, 3], [7, 1], [12, 1]], 631/139345920], [[[1, 6], [2, 3], [3, 3], [8, 1], [9, 1]], 3481/1612431360], [[[1, 6], [2, 3], [3, 3], [8, 1], [14, 1]], 29/23887872], [[[1, 6], [2, 3], [3, 3], [8, 1], [18, 1]], 559/644972544], [[[1, 6], [2, 3], [3, 3], [9, 1], [10, 1]], 161/403107840], [[[1, 6], [2, 3], [3, 3], [9, 1], [12, 1]], 4697/1911029760], [[[1, 6], [2, 3], [3, 3], [10, 1], [14, 1]], 1/34836480], [[[1, 6], [2, 3], [3, 3], [10, 1], [18, 1]], 1/44789760], [[[1, 6], [2, 3], [3, 3], [12, 1], [14, 1]], 11383/5016453120], [[[1, 6], [2, 3], [3, 3], [12, 1], [18, 1]], 5855/3869835264], [[[1, 6], [2, 3], [3, 4], [4, 1], [6, 3]], 1659839/2321901158400], [[[1, 6], [2, 3], [3, 4], [4, 1], [7, 1]], 83513/401316249600], [[[1, 6], [2, 3], [3, 4], [4, 1], [9, 1]], 111511/171992678400], [[[1, 6], [2, 3], [3, 4], [4, 1], [14, 1]], 5611/66886041600], [[[1, 6], [2, 3], [3, 4], [4, 1], [18, 1]], 119/2015539200], [[[1, 6], [2, 3], [3, 4], [4, 2], [5, 1]], 112751/458647142400], [[[1, 6], [2, 3], [3, 4], [4, 2], [6, 2]], 13813213/4953389137920], [[[1, 6], [2, 3], [3, 4], [4, 2], [8, 1]], 3501763/11007531417600], [[[1, 6], [2, 3], [3, 4], [4, 2], [10, 1]], 391361/6879707136000], [[[1, 6], [2, 3], [3, 4], [4, 2], [12, 1]], 2082997/4127824281600], [[[1, 6], [2, 3], [3, 4], [4, 3], [6, 1]], 3397291/16511297126400], [[[1, 6], [2, 3], [3, 4], [5, 1], [6, 2]], 110693/64497254400], [[[1, 6], [2, 3], [3, 4], [5, 1], [8, 1]], 58943/35831808000], [[[1, 6], [2, 3], [3, 4], [5, 1], [10, 1]], 1367/17915904000], [[[1, 6], [2, 3], [3, 4], [5, 1], [12, 1]], 2113/895795200], [[[1, 6], [2, 3], [3, 4], [6, 1], [7, 1]], 31207/30098718720], [[[1, 6], [2, 3], [3, 4], [6, 1], [9, 1]], 45077/29023764480], [[[1, 6], [2, 3], [3, 4], [6, 1], [14, 1]], 20641/60197437440], [[[1, 6], [2, 3], [3, 4], [6, 1], [18, 1]], 1127731/3095868211200], [[[1, 6], [2, 3], [3, 4], [6, 2], [8, 1]], 11041/17199267840], [[[1, 6], [2, 3], [3, 4], [6, 2], [10, 1]], 2549/14332723200], [[[1, 6], [2, 3], [3, 4], [6, 2], [12, 1]], 78526043/49533891379200], [[[1, 6], [2, 3], [3, 4], [8, 1], [10, 1]], 161/9555148800], [[[1, 6], [2, 3], [3, 4], [8, 1], [12, 1]], 2599/2149908480], [[[1, 6], [2, 3], [3, 4], [10, 1], [12, 1]], 23/214990848], [[[1, 6], [2, 3], [3, 5], [4, 1], [5, 1]], 103349/859963392000], [[[1, 6], [2, 3], [3, 5], [4, 1], [6, 2]], 995903/4127824281600], [[[1, 6], [2, 3], [3, 5], [4, 1], [8, 1]], 1545901/12383472844800], [[[1, 6], [2, 3], [3, 5], [4, 1], [10, 1]], 2431/107495424000], [[[1, 6], [2, 3], [3, 5], [4, 1], [12, 1]], 433901/2063912140800], [[[1, 6], [2, 3], [3, 5], [4, 2], [6, 1]], 7495403/111451255603200], [[[1, 6], [2, 3], [3, 5], [5, 1], [6, 1]], 10681/21499084800], [[[1, 6], [2, 3], [3, 5], [6, 1], [8, 1]], 104269/515978035200], [[[1, 6], [2, 3], [3, 5], [6, 1], [10, 1]], 128563/5804752896000], [[[1, 6], [2, 3], [3, 5], [6, 1], [12, 1]], 307153/557256278016], [[[1, 6], [2, 3], [3, 6], [4, 1], [6, 1]], 12307/580475289600], [[[1, 6], [2, 3], [4, 1], [5, 1], [6, 5]], 193/429981696000], [[[1, 6], [2, 3], [4, 1], [5, 2], [6, 3]], 457/8957952000], [[[1, 6], [2, 3], [4, 1], [5, 2], [7, 1]], 3007/221184000], [[[1, 6], [2, 3], [4, 1], [5, 2], [9, 1]], 33847/5971968000], [[[1, 6], [2, 3], [4, 1], [5, 2], [14, 1]], 1163/258048000], [[[1, 6], [2, 3], [4, 1], [5, 2], [18, 1]], 103/31104000], [[[1, 6], [2, 3], [4, 1], [5, 3], [6, 1]], 193/1658880000], [[[1, 6], [2, 3], [4, 1], [6, 1], [7, 2]], 1/75264], [[[1, 6], [2, 3], [4, 1], [6, 1], [8, 3]], 6701/1698693120], [[[1, 6], [2, 3], [4, 1], [6, 1], [9, 2]], 5/2239488], [[[1, 6], [2, 3], [4, 1], [6, 1], [10, 3]], 17/414720000], [[[1, 6], [2, 3], [4, 1], [6, 1], [12, 3]], 107/1433272320], [[[1, 6], [2, 3], [4, 1], [6, 1], [14, 2]], 1/1806336], [[[1, 6], [2, 3], [4, 1], [6, 1], [18, 2]], 31/44789760], [[[1, 6], [2, 3], [4, 1], [6, 1], [28, 1]], 1/774144], [[[1, 6], [2, 3], [4, 1], [6, 1], [36, 1]], 1/995328], [[[1, 6], [2, 3], [4, 1], [6, 3], [8, 2]], 797/1433272320], [[[1, 6], [2, 3], [4, 1], [6, 3], [10, 2]], 1129/8957952000], [[[1, 6], [2, 3], [4, 1], [6, 3], [12, 2]], 7/26873856], [[[1, 6], [2, 3], [4, 1], [6, 3], [15, 1]], 49/447897600], [[[1, 6], [2, 3], [4, 1], [6, 3], [20, 1]], 49/298598400], [[[1, 6], [2, 3], [4, 1], [6, 3], [24, 1]], 49/358318080], [[[1, 6], [2, 3], [4, 1], [6, 3], [30, 1]], 49/447897600], [[[1, 6], [2, 3], [4, 1], [6, 4], [7, 1]], 5759/57330892800], [[[1, 6], [2, 3], [4, 1], [6, 4], [9, 1]], 50039/1547934105600], [[[1, 6], [2, 3], [4, 1], [6, 4], [14, 1]], 811/66886041600], [[[1, 6], [2, 3], [4, 1], [6, 4], [18, 1]], 283/4031078400], [[[1, 6], [2, 3], [4, 1], [6, 5], [8, 1]], 5767/458647142400], [[[1, 6], [2, 3], [4, 1], [6, 5], [10, 1]], 617/107495424000], [[[1, 6], [2, 3], [4, 1], [6, 5], [12, 1]], 4769/257989017600], [[[1, 6], [2, 3], [4, 1], [7, 1], [8, 2]], 2899/70778880], [[[1, 6], [2, 3], [4, 1], [7, 1], [10, 2]], 1279/221184000], [[[1, 6], [2, 3], [4, 1], [7, 1], [12, 2]], 313/743178240], [[[1, 6], [2, 3], [4, 1], [7, 1], [15, 1]], 313/77414400], [[[1, 6], [2, 3], [4, 1], [7, 1], [16, 1]], 1/43008], [[[1, 6], [2, 3], [4, 1], [7, 1], [20, 1]], 313/51609600], [[[1, 6], [2, 3], [4, 1], [7, 1], [24, 1]], 313/61931520], [[[1, 6], [2, 3], [4, 1], [7, 1], [30, 1]], 313/77414400], [[[1, 6], [2, 3], [4, 1], [8, 2], [9, 1]], 26539/1911029760], [[[1, 6], [2, 3], [4, 1], [8, 2], [14, 1]], 551/82575360], [[[1, 6], [2, 3], [4, 1], [8, 2], [18, 1]], 199/39813120], [[[1, 6], [2, 3], [4, 1], [9, 1], [10, 2]], 9079/5971968000], [[[1, 6], [2, 3], [4, 1], [9, 1], [12, 2]], 439/2866544640], [[[1, 6], [2, 3], [4, 1], [9, 1], [15, 1]], 439/298598400], [[[1, 6], [2, 3], [4, 1], [9, 1], [16, 1]], 1/165888], [[[1, 6], [2, 3], [4, 1], [9, 1], [20, 1]], 439/199065600], [[[1, 6], [2, 3], [4, 1], [9, 1], [24, 1]], 439/238878720], [[[1, 6], [2, 3], [4, 1], [9, 1], [30, 1]], 439/298598400], [[[1, 6], [2, 3], [4, 1], [10, 2], [14, 1]], 11/258048000], [[[1, 6], [2, 3], [4, 1], [10, 2], [18, 1]], 1/31104000], [[[1, 6], [2, 3], [4, 1], [12, 2], [14, 1]], 11/123863040], [[[1, 6], [2, 3], [4, 1], [12, 2], [18, 1]], 1/14929920], [[[1, 6], [2, 3], [4, 1], [14, 1], [15, 1]], 11/12902400], [[[1, 6], [2, 3], [4, 1], [14, 1], [20, 1]], 11/8601600], [[[1, 6], [2, 3], [4, 1], [14, 1], [24, 1]], 11/10321920], [[[1, 6], [2, 3], [4, 1], [14, 1], [30, 1]], 11/12902400], [[[1, 6], [2, 3], [4, 1], [15, 1], [18, 1]], 1/1555200], [[[1, 6], [2, 3], [4, 1], [18, 1], [20, 1]], 1/1036800], [[[1, 6], [2, 3], [4, 1], [18, 1], [24, 1]], 1/1244160], [[[1, 6], [2, 3], [4, 1], [18, 1], [30, 1]], 1/1555200], [[[1, 6], [2, 3], [4, 2], [5, 1], [6, 4]], 4159/458647142400], [[[1, 6], [2, 3], [4, 2], [5, 1], [8, 2]], 129871/2831155200], [[[1, 6], [2, 3], [4, 2], [5, 1], [10, 2]], 13627/8847360000], [[[1, 6], [2, 3], [4, 2], [5, 1], [12, 2]], 51643/4246732800], [[[1, 6], [2, 3], [4, 2], [5, 1], [15, 1]], 191/88473600], [[[1, 6], [2, 3], [4, 2], [5, 1], [16, 1]], 11/307200], [[[1, 6], [2, 3], [4, 2], [5, 1], [20, 1]], 9403/294912000], [[[1, 6], [2, 3], [4, 2], [5, 1], [24, 1]], 191/70778880], [[[1, 6], [2, 3], [4, 2], [5, 1], [30, 1]], 191/88473600], [[[1, 6], [2, 3], [4, 2], [5, 2], [6, 2]], 353/19110297600], [[[1, 6], [2, 3], [4, 2], [5, 2], [8, 1]], 493859/42467328000], [[[1, 6], [2, 3], [4, 2], [5, 2], [10, 1]], 837313/26542080000], [[[1, 6], [2, 3], [4, 2], [5, 2], [12, 1]], 93311/15925248000], [[[1, 6], [2, 3], [4, 2], [6, 2], [8, 2]], 22529/6115295232], [[[1, 6], [2, 3], [4, 2], [6, 2], [10, 2]], 1669/3822059520], [[[1, 6], [2, 3], [4, 2], [6, 2], [12, 2]], 45577/45864714240], [[[1, 6], [2, 3], [4, 2], [6, 2], [15, 1]], 353/955514880], [[[1, 6], [2, 3], [4, 2], [6, 2], [20, 1]], 353/637009920], [[[1, 6], [2, 3], [4, 2], [6, 2], [24, 1]], 353/764411904], [[[1, 6], [2, 3], [4, 2], [6, 2], [30, 1]], 353/955514880], [[[1, 6], [2, 3], [4, 2], [6, 3], [7, 1]], 575/8026324992], [[[1, 6], [2, 3], [4, 2], [6, 3], [9, 1]], 655/30958682112], [[[1, 6], [2, 3], [4, 2], [6, 3], [14, 1]], 43/8026324992], [[[1, 6], [2, 3], [4, 2], [6, 3], [18, 1]], 2159/10319560704], [[[1, 6], [2, 3], [4, 2], [6, 4], [8, 1]], 537763/11007531417600], [[[1, 6], [2, 3], [4, 2], [6, 4], [10, 1]], 75761/6879707136000], [[[1, 6], [2, 3], [4, 2], [6, 4], [12, 1]], 77039/1375941427200], [[[1, 6], [2, 3], [4, 2], [7, 1], [9, 1]], 101/12386304], [[[1, 6], [2, 3], [4, 2], [7, 1], [14, 1]], 3679/144506880], [[[1, 6], [2, 3], [4, 2], [7, 1], [18, 1]], 575/111476736], [[[1, 6], [2, 3], [4, 2], [8, 1], [10, 2]], 75683/42467328000], [[[1, 6], [2, 3], [4, 2], [8, 1], [12, 2]], 75683/20384317440], [[[1, 6], [2, 3], [4, 2], [8, 1], [15, 1]], 6563/2123366400], [[[1, 6], [2, 3], [4, 2], [8, 1], [16, 1]], 1367/31457280], [[[1, 6], [2, 3], [4, 2], [8, 1], [20, 1]], 30179/1415577600], [[[1, 6], [2, 3], [4, 2], [8, 1], [24, 1]], 6151/339738624], [[[1, 6], [2, 3], [4, 2], [8, 1], [30, 1]], 6563/2123366400], [[[1, 6], [2, 3], [4, 2], [8, 2], [10, 1]], 72781/8493465600], [[[1, 6], [2, 3], [4, 2], [8, 2], [12, 1]], 91019/5096079360], [[[1, 6], [2, 3], [4, 2], [9, 1], [14, 1]], 229/111476736], [[[1, 6], [2, 3], [4, 2], [9, 1], [18, 1]], 27197/2149908480], [[[1, 6], [2, 3], [4, 2], [10, 1], [12, 2]], 961/12740198400], [[[1, 6], [2, 3], [4, 2], [10, 1], [15, 1]], 961/1327104000], [[[1, 6], [2, 3], [4, 2], [10, 1], [20, 1]], 961/884736000], [[[1, 6], [2, 3], [4, 2], [10, 1], [24, 1]], 961/1061683200], [[[1, 6], [2, 3], [4, 2], [10, 1], [30, 1]], 961/1327104000], [[[1, 6], [2, 3], [4, 2], [10, 2], [12, 1]], 767/15925248000], [[[1, 6], [2, 3], [4, 2], [12, 1], [15, 1]], 767/796262400], [[[1, 6], [2, 3], [4, 2], [12, 1], [16, 1]], 7/983040], [[[1, 6], [2, 3], [4, 2], [12, 1], [20, 1]], 3923/530841600], [[[1, 6], [2, 3], [4, 2], [12, 1], [24, 1]], 5369/637009920], [[[1, 6], [2, 3], [4, 2], [12, 1], [30, 1]], 767/796262400], [[[1, 6], [2, 3], [4, 2], [14, 1], [18, 1]], 43/111476736], [[[1, 6], [2, 3], [4, 3], [5, 1], [6, 3]], 7/1194393600], [[[1, 6], [2, 3], [4, 3], [5, 1], [7, 1]], 1079/206438400], [[[1, 6], [2, 3], [4, 3], [5, 1], [9, 1]], 1297/796262400], [[[1, 6], [2, 3], [4, 3], [5, 1], [14, 1]], 59/103219200], [[[1, 6], [2, 3], [4, 3], [5, 1], [18, 1]], 7/16588800], [[[1, 6], [2, 3], [4, 3], [5, 2], [6, 1]], 19723/63700992000], [[[1, 6], [2, 3], [4, 3], [6, 1], [8, 2]], 243601/20384317440], [[[1, 6], [2, 3], [4, 3], [6, 1], [10, 2]], 28651/63700992000], [[[1, 6], [2, 3], [4, 3], [6, 1], [12, 2]], 17999/6115295232], [[[1, 6], [2, 3], [4, 3], [6, 1], [15, 1]], 1291/3185049600], [[[1, 6], [2, 3], [4, 3], [6, 1], [16, 1]], 73/10616832], [[[1, 6], [2, 3], [4, 3], [6, 1], [20, 1]], 13451/2123366400], [[[1, 6], [2, 3], [4, 3], [6, 1], [24, 1]], 1291/2548039680], [[[1, 6], [2, 3], [4, 3], [6, 1], [30, 1]], 1291/3185049600], [[[1, 6], [2, 3], [4, 3], [6, 2], [7, 1]], 5/37158912], [[[1, 6], [2, 3], [4, 3], [6, 2], [9, 1]], 5/143327232], [[[1, 6], [2, 3], [4, 3], [6, 2], [18, 1]], 1291/5733089280], [[[1, 6], [2, 3], [4, 3], [6, 3], [8, 1]], 481/18345885696], [[[1, 6], [2, 3], [4, 3], [6, 3], [10, 1]], 1/286654464], [[[1, 6], [2, 3], [4, 3], [6, 3], [12, 1]], 25763/275188285440], [[[1, 6], [2, 3], [4, 3], [7, 1], [8, 1]], 895/16515072], [[[1, 6], [2, 3], [4, 3], [7, 1], [10, 1]], 199/41287680], [[[1, 6], [2, 3], [4, 3], [7, 1], [12, 1]], 1313/53084160], [[[1, 6], [2, 3], [4, 3], [8, 1], [9, 1]], 3893/254803968], [[[1, 6], [2, 3], [4, 3], [8, 1], [14, 1]], 1/393216], [[[1, 6], [2, 3], [4, 3], [8, 1], [18, 1]], 481/254803968], [[[1, 6], [2, 3], [4, 3], [9, 1], [10, 1]], 5/3538944], [[[1, 6], [2, 3], [4, 3], [9, 1], [12, 1]], 9833/1433272320], [[[1, 6], [2, 3], [4, 3], [10, 1], [14, 1]], 1/2949120], [[[1, 6], [2, 3], [4, 3], [10, 1], [18, 1]], 1/3981312], [[[1, 6], [2, 3], [4, 3], [12, 1], [14, 1]], 19/20643840], [[[1, 6], [2, 3], [4, 3], [12, 1], [18, 1]], 41/59719680], [[[1, 6], [2, 3], [4, 4], [5, 1], [6, 2]], 7/19110297600], [[[1, 6], [2, 3], [4, 4], [5, 1], [8, 1]], 221717/42467328000], [[[1, 6], [2, 3], [4, 4], [5, 1], [10, 1]], 13669/5308416000], [[[1, 6], [2, 3], [4, 4], [5, 1], [12, 1]], 3721/1061683200], [[[1, 6], [2, 3], [4, 4], [6, 1], [7, 1]], 3097/8918138880], [[[1, 6], [2, 3], [4, 4], [6, 1], [9, 1]], 481/4299816960], [[[1, 6], [2, 3], [4, 4], [6, 1], [14, 1]], 751/17836277760], [[[1, 6], [2, 3], [4, 4], [6, 1], [18, 1]], 33307/305764761600], [[[1, 6], [2, 3], [4, 4], [6, 2], [8, 1]], 827/15288238080], [[[1, 6], [2, 3], [4, 4], [6, 2], [10, 1]], 751/38220595200], [[[1, 6], [2, 3], [4, 4], [6, 2], [12, 1]], 2829323/14676708556800], [[[1, 6], [2, 3], [4, 4], [8, 1], [10, 1]], 1219/707788800], [[[1, 6], [2, 3], [4, 4], [8, 1], [12, 1]], 1481/127401984], [[[1, 6], [2, 3], [4, 4], [10, 1], [12, 1]], 2131/3185049600], [[[1, 6], [2, 3], [4, 5], [5, 1], [6, 1]], 4063/127401984000], [[[1, 6], [2, 3], [4, 5], [6, 1], [8, 1]], 33379/45298483200], [[[1, 6], [2, 3], [4, 5], [6, 1], [10, 1]], 1217/31850496000], [[[1, 6], [2, 3], [4, 5], [6, 1], [12, 1]], 46559/76441190400], [[[1, 6], [2, 3], [5, 1], [6, 2], [8, 2]], 431/398131200], [[[1, 6], [2, 3], [5, 1], [6, 2], [10, 2]], 971/1244160000], [[[1, 6], [2, 3], [5, 1], [6, 2], [12, 2]], 133/119439360], [[[1, 6], [2, 3], [5, 1], [6, 2], [15, 1]], 7/12441600], [[[1, 6], [2, 3], [5, 1], [6, 2], [20, 1]], 7/8294400], [[[1, 6], [2, 3], [5, 1], [6, 2], [24, 1]], 7/9953280], [[[1, 6], [2, 3], [5, 1], [6, 2], [30, 1]], 7/12441600], [[[1, 6], [2, 3], [5, 1], [6, 3], [7, 1]], 1/4354560], [[[1, 6], [2, 3], [5, 1], [6, 3], [9, 1]], 47/503884800], [[[1, 6], [2, 3], [5, 1], [6, 3], [14, 1]], 37/522547200], [[[1, 6], [2, 3], [5, 1], [6, 3], [18, 1]], 49/134369280], [[[1, 6], [2, 3], [5, 1], [6, 4], [8, 1]], 461/11943936000], [[[1, 6], [2, 3], [5, 1], [6, 4], [10, 1]], 599/17915904000], [[[1, 6], [2, 3], [5, 1], [6, 4], [12, 1]], 7/71663616], [[[1, 6], [2, 3], [5, 1], [7, 1], [9, 1]], 37/1814400], [[[1, 6], [2, 3], [5, 1], [7, 1], [14, 1]], 101/940800], [[[1, 6], [2, 3], [5, 1], [7, 1], [18, 1]], 1/60480], [[[1, 6], [2, 3], [5, 1], [8, 1], [10, 2]], 23/138240000], [[[1, 6], [2, 3], [5, 1], [8, 1], [12, 2]], 23/66355200], [[[1, 6], [2, 3], [5, 1], [8, 1], [15, 1]], 23/6912000], [[[1, 6], [2, 3], [5, 1], [8, 1], [16, 1]], 11/614400], [[[1, 6], [2, 3], [5, 1], [8, 1], [20, 1]], 23/4608000], [[[1, 6], [2, 3], [5, 1], [8, 1], [24, 1]], 23/5529600], [[[1, 6], [2, 3], [5, 1], [8, 1], [30, 1]], 23/6912000], [[[1, 6], [2, 3], [5, 1], [8, 2], [10, 1]], 7/22118400], [[[1, 6], [2, 3], [5, 1], [9, 1], [14, 1]], 1/100800], [[[1, 6], [2, 3], [5, 1], [9, 1], [18, 1]], 391/13996800], [[[1, 6], [2, 3], [5, 1], [10, 1], [12, 2]], 7/33177600], [[[1, 6], [2, 3], [5, 1], [10, 1], [15, 1]], 7/3456000], [[[1, 6], [2, 3], [5, 1], [10, 1], [20, 1]], 7/2304000], [[[1, 6], [2, 3], [5, 1], [10, 1], [24, 1]], 7/2764800], [[[1, 6], [2, 3], [5, 1], [10, 1], [30, 1]], 7/3456000], [[[1, 6], [2, 3], [5, 1], [14, 1], [18, 1]], 37/7257600], [[[1, 6], [2, 3], [5, 2], [6, 1], [7, 1]], 1/16588800], [[[1, 6], [2, 3], [5, 2], [6, 1], [9, 1]], 1/55987200], [[[1, 6], [2, 3], [5, 2], [6, 1], [14, 1]], 1/232243200], [[[1, 6], [2, 3], [5, 2], [6, 1], [18, 1]], 5521/3981312000], [[[1, 6], [2, 3], [5, 2], [6, 2], [8, 1]], 1/99532800], [[[1, 6], [2, 3], [5, 2], [6, 2], [10, 1]], 1/497664000], [[[1, 6], [2, 3], [5, 2], [6, 2], [12, 1]], 5561/21233664000], [[[1, 6], [2, 3], [5, 2], [8, 1], [10, 1]], 1/36864000], [[[1, 6], [2, 3], [6, 1], [7, 1], [8, 2]], 295/37158912], [[[1, 6], [2, 3], [6, 1], [7, 1], [10, 2]], 439/116121600], [[[1, 6], [2, 3], [6, 1], [7, 1], [12, 2]], 1/7962624], [[[1, 6], [2, 3], [6, 1], [7, 1], [15, 1]], 1/829440], [[[1, 6], [2, 3], [6, 1], [7, 1], [20, 1]], 1/552960], [[[1, 6], [2, 3], [6, 1], [7, 1], [24, 1]], 1/663552], [[[1, 6], [2, 3], [6, 1], [7, 1], [30, 1]], 1/829440], [[[1, 6], [2, 3], [6, 1], [8, 2], [9, 1]], 23/8957952], [[[1, 6], [2, 3], [6, 1], [8, 2], [14, 1]], 73/74317824], [[[1, 6], [2, 3], [6, 1], [8, 2], [18, 1]], 499/424673280], [[[1, 6], [2, 3], [6, 1], [9, 1], [10, 2]], 11/11197440], [[[1, 6], [2, 3], [6, 1], [9, 1], [12, 2]], 1/26873856], [[[1, 6], [2, 3], [6, 1], [9, 1], [15, 1]], 1/2799360], [[[1, 6], [2, 3], [6, 1], [9, 1], [20, 1]], 1/1866240], [[[1, 6], [2, 3], [6, 1], [9, 1], [24, 1]], 1/2239488], [[[1, 6], [2, 3], [6, 1], [9, 1], [30, 1]], 1/2799360], [[[1, 6], [2, 3], [6, 1], [10, 2], [14, 1]], 1/232243200], [[[1, 6], [2, 3], [6, 1], [10, 2], [18, 1]], 17/3981312000], [[[1, 6], [2, 3], [6, 1], [12, 2], [14, 1]], 1/111476736], [[[1, 6], [2, 3], [6, 1], [12, 2], [18, 1]], 17/1911029760], [[[1, 6], [2, 3], [6, 1], [14, 1], [15, 1]], 1/11612160], [[[1, 6], [2, 3], [6, 1], [14, 1], [20, 1]], 1/7741440], [[[1, 6], [2, 3], [6, 1], [14, 1], [24, 1]], 1/9289728], [[[1, 6], [2, 3], [6, 1], [14, 1], [30, 1]], 1/11612160], [[[1, 6], [2, 3], [6, 1], [15, 1], [18, 1]], 17/199065600], [[[1, 6], [2, 3], [6, 1], [18, 1], [20, 1]], 17/132710400], [[[1, 6], [2, 3], [6, 1], [18, 1], [24, 1]], 17/159252480], [[[1, 6], [2, 3], [6, 1], [18, 1], [30, 1]], 17/199065600], [[[1, 6], [2, 3], [6, 2], [7, 1], [9, 1]], 17/5225472], [[[1, 6], [2, 3], [6, 2], [7, 1], [14, 1]], 1/451584], [[[1, 6], [2, 3], [6, 2], [7, 1], [18, 1]], 25/10450944], [[[1, 6], [2, 3], [6, 2], [8, 1], [10, 2]], 19/99532800], [[[1, 6], [2, 3], [6, 2], [8, 1], [12, 2]], 29/95551488], [[[1, 6], [2, 3], [6, 2], [8, 1], [15, 1]], 1/4976640], [[[1, 6], [2, 3], [6, 2], [8, 1], [20, 1]], 1/3317760], [[[1, 6], [2, 3], [6, 2], [8, 1], [24, 1]], 1/3981312], [[[1, 6], [2, 3], [6, 2], [8, 1], [30, 1]], 1/4976640], [[[1, 6], [2, 3], [6, 2], [8, 2], [10, 1]], 73/159252480], [[[1, 6], [2, 3], [6, 2], [8, 2], [12, 1]], 4417/6794772480], [[[1, 6], [2, 3], [6, 2], [9, 1], [14, 1]], 1/1741824], [[[1, 6], [2, 3], [6, 2], [9, 1], [18, 1]], 13/20155392], [[[1, 6], [2, 3], [6, 2], [10, 1], [12, 2]], 1/238878720], [[[1, 6], [2, 3], [6, 2], [10, 1], [15, 1]], 1/24883200], [[[1, 6], [2, 3], [6, 2], [10, 1], [20, 1]], 1/16588800], [[[1, 6], [2, 3], [6, 2], [10, 1], [24, 1]], 1/19906560], [[[1, 6], [2, 3], [6, 2], [10, 1], [30, 1]], 1/24883200], [[[1, 6], [2, 3], [6, 2], [10, 2], [12, 1]], 19/7077888000], [[[1, 6], [2, 3], [6, 2], [12, 1], [15, 1]], 19/353894400], [[[1, 6], [2, 3], [6, 2], [12, 1], [20, 1]], 19/235929600], [[[1, 6], [2, 3], [6, 2], [12, 1], [24, 1]], 19/283115520], [[[1, 6], [2, 3], [6, 2], [12, 1], [30, 1]], 19/353894400], [[[1, 6], [2, 3], [6, 2], [14, 1], [18, 1]], 1/20901888], [[[1, 6], [2, 3], [6, 3], [7, 1], [8, 1]], 241/167215104], [[[1, 6], [2, 3], [6, 3], [7, 1], [10, 1]], 13/11612160], [[[1, 6], [2, 3], [6, 3], [7, 1], [12, 1]], 79/55738368], [[[1, 6], [2, 3], [6, 3], [8, 1], [9, 1]], 247/644972544], [[[1, 6], [2, 3], [6, 3], [8, 1], [14, 1]], 1/55738368], [[[1, 6], [2, 3], [6, 3], [8, 1], [18, 1]], 1/7962624], [[[1, 6], [2, 3], [6, 3], [9, 1], [10, 1]], 13/44789760], [[[1, 6], [2, 3], [6, 3], [9, 1], [12, 1]], 5/13436928], [[[1, 6], [2, 3], [6, 3], [10, 1], [18, 1]], 1/44789760], [[[1, 6], [2, 3], [6, 3], [12, 1], [14, 1]], 1/111476736], [[[1, 6], [2, 3], [6, 3], [12, 1], [18, 1]], 211/5733089280], [[[1, 6], [2, 3], [6, 4], [8, 1], [10, 1]], 1/117964800], [[[1, 6], [2, 3], [6, 4], [8, 1], [12, 1]], 1/31850496], [[[1, 6], [2, 3], [6, 4], [10, 1], [12, 1]], 1/238878720], [[[1, 6], [2, 3], [7, 1], [8, 1], [9, 1]], 19/1161216], [[[1, 6], [2, 3], [7, 1], [8, 1], [14, 1]], 23/602112], [[[1, 6], [2, 3], [7, 1], [8, 1], [18, 1]], 25/2322432], [[[1, 6], [2, 3], [7, 1], [9, 1], [10, 1]], 17/1451520], [[[1, 6], [2, 3], [7, 1], [10, 1], [14, 1]], 1/125440], [[[1, 6], [2, 3], [7, 1], [10, 1], [18, 1]], 1/161280], [[[1, 6], [2, 3], [8, 1], [9, 1], [14, 1]], 11/2322432], [[[1, 6], [2, 3], [8, 1], [9, 1], [18, 1]], 85/8957952], [[[1, 6], [2, 3], [8, 1], [10, 1], [12, 2]], 1/17694720], [[[1, 6], [2, 3], [8, 1], [10, 1], [15, 1]], 1/1843200], [[[1, 6], [2, 3], [8, 1], [10, 1], [20, 1]], 1/1228800], [[[1, 6], [2, 3], [8, 1], [10, 1], [24, 1]], 1/1474560], [[[1, 6], [2, 3], [8, 1], [10, 1], [30, 1]], 1/1843200], [[[1, 6], [2, 3], [8, 1], [14, 1], [18, 1]], 1/774144], [[[1, 6], [2, 3], [9, 1], [10, 1], [14, 1]], 1/483840], [[[1, 6], [2, 3], [9, 1], [10, 1], [18, 1]], 1/622080], [[[1, 6], [2, 5], [3, 1], [4, 1], [6, 5]], 2417219/8255648563200], [[[1, 6], [2, 5], [3, 1], [4, 2], [5, 2]], 63504991/6879707136000], [[[1, 6], [2, 5], [3, 1], [4, 2], [6, 4]], 1558790687/1783220089651200], [[[1, 6], [2, 5], [3, 1], [4, 2], [8, 2]], 87881887/2201506283520], [[[1, 6], [2, 5], [3, 1], [4, 2], [10, 2]], 25060447/6879707136000], [[[1, 6], [2, 5], [3, 1], [4, 2], [12, 2]], 25668127/3302259425280], [[[1, 6], [2, 5], [3, 1], [4, 2], [15, 1]], 643807/343985356800], [[[1, 6], [2, 5], [3, 1], [4, 2], [16, 1]], 1/49152], [[[1, 6], [2, 5], [3, 1], [4, 2], [20, 1]], 2510047/229323571200], [[[1, 6], [2, 5], [3, 1], [4, 2], [24, 1]], 643807/275188285440], [[[1, 6], [2, 5], [3, 1], [4, 2], [30, 1]], 643807/343985356800], [[[1, 6], [2, 5], [3, 1], [4, 3], [6, 3]], 845/286654464], [[[1, 6], [2, 5], [3, 1], [4, 3], [7, 1]], 3779/743178240], [[[1, 6], [2, 5], [3, 1], [4, 3], [9, 1]], 65147/18345885696], [[[1, 6], [2, 5], [3, 1], [4, 3], [14, 1]], 3037/743178240], [[[1, 6], [2, 5], [3, 1], [4, 3], [18, 1]], 4883/1911029760], [[[1, 6], [2, 5], [3, 1], [4, 4], [5, 1]], 14003899/3057647616000], [[[1, 6], [2, 5], [3, 1], [4, 4], [6, 2]], 4251136589/594406696550400], [[[1, 6], [2, 5], [3, 1], [4, 4], [8, 1]], 128788691/4892236185600], [[[1, 6], [2, 5], [3, 1], [4, 4], [10, 1]], 80708797/34398535680000], [[[1, 6], [2, 5], [3, 1], [4, 4], [12, 1]], 88744787/6604518850560], [[[1, 6], [2, 5], [3, 1], [4, 5], [6, 1]], 592147/90596966400], [[[1, 6], [2, 5], [3, 1], [5, 1], [6, 4]], 24163/42467328000], [[[1, 6], [2, 5], [3, 1], [5, 1], [8, 2]], 94297/12740198400], [[[1, 6], [2, 5], [3, 1], [5, 1], [10, 2]], 88249/39813120000], [[[1, 6], [2, 5], [3, 1], [5, 1], [12, 2]], 1849/19110297600], [[[1, 6], [2, 5], [3, 1], [5, 1], [15, 1]], 1849/1990656000], [[[1, 6], [2, 5], [3, 1], [5, 1], [20, 1]], 1849/1327104000], [[[1, 6], [2, 5], [3, 1], [5, 1], [24, 1]], 1849/1592524800], [[[1, 6], [2, 5], [3, 1], [5, 1], [30, 1]], 1849/1990656000], [[[1, 6], [2, 5], [3, 1], [5, 2], [6, 2]], 15532127/7739670528000], [[[1, 6], [2, 5], [3, 1], [5, 2], [8, 1]], 458993/63700992000], [[[1, 6], [2, 5], [3, 1], [5, 2], [10, 1]], 5645071/447897600000], [[[1, 6], [2, 5], [3, 1], [5, 2], [12, 1]], 4157/1911029760], [[[1, 6], [2, 5], [3, 1], [6, 2], [8, 2]], 23984639/2476694568960], [[[1, 6], [2, 5], [3, 1], [6, 2], [10, 2]], 42252191/7739670528000], [[[1, 6], [2, 5], [3, 1], [6, 2], [12, 2]], 6344441/3715041853440], [[[1, 6], [2, 5], [3, 1], [6, 2], [15, 1]], 539999/386983526400], [[[1, 6], [2, 5], [3, 1], [6, 2], [20, 1]], 539999/257989017600], [[[1, 6], [2, 5], [3, 1], [6, 2], [24, 1]], 1550879/309586821120], [[[1, 6], [2, 5], [3, 1], [6, 2], [30, 1]], 539999/386983526400], [[[1, 6], [2, 5], [3, 1], [6, 3], [7, 1]], 9733/1504935936], [[[1, 6], [2, 5], [3, 1], [6, 3], [9, 1]], 320441/103195607040], [[[1, 6], [2, 5], [3, 1], [6, 3], [14, 1]], 52757/16930529280], [[[1, 6], [2, 5], [3, 1], [6, 3], [18, 1]], 6158629/2089711042560], [[[1, 6], [2, 5], [3, 1], [6, 4], [8, 1]], 31794161/16511297126400], [[[1, 6], [2, 5], [3, 1], [6, 4], [10, 1]], 196053647/116095057920000], [[[1, 6], [2, 5], [3, 1], [6, 4], [12, 1]], 42307091/22290251120640], [[[1, 6], [2, 5], [3, 1], [7, 1], [9, 1]], 905/334430208], [[[1, 6], [2, 5], [3, 1], [7, 1], [14, 1]], 57/2007040], [[[1, 6], [2, 5], [3, 1], [7, 1], [18, 1]], 589/209018880], [[[1, 6], [2, 5], [3, 1], [8, 1], [10, 2]], 54641/63700992000], [[[1, 6], [2, 5], [3, 1], [8, 1], [12, 2]], 2801/30576476160], [[[1, 6], [2, 5], [3, 1], [8, 1], [15, 1]], 2801/3185049600], [[[1, 6], [2, 5], [3, 1], [8, 1], [16, 1]], 1/196608], [[[1, 6], [2, 5], [3, 1], [8, 1], [20, 1]], 2801/2123366400], [[[1, 6], [2, 5], [3, 1], [8, 1], [24, 1]], 2801/2548039680], [[[1, 6], [2, 5], [3, 1], [8, 1], [30, 1]], 2801/3185049600], [[[1, 6], [2, 5], [3, 1], [8, 2], [10, 1]], 387847/143327232000], [[[1, 6], [2, 5], [3, 1], [8, 2], [12, 1]], 8401/3057647616], [[[1, 6], [2, 5], [3, 1], [9, 1], [14, 1]], 1249/477757440], [[[1, 6], [2, 5], [3, 1], [9, 1], [18, 1]], 3619/477757440], [[[1, 6], [2, 5], [3, 1], [10, 1], [12, 2]], 15247/214990848000], [[[1, 6], [2, 5], [3, 1], [10, 1], [15, 1]], 15247/22394880000], [[[1, 6], [2, 5], [3, 1], [10, 1], [20, 1]], 15247/14929920000], [[[1, 6], [2, 5], [3, 1], [10, 1], [24, 1]], 15247/17915904000], [[[1, 6], [2, 5], [3, 1], [10, 1], [30, 1]], 15247/22394880000], [[[1, 6], [2, 5], [3, 1], [10, 2], [12, 1]], 13873/9555148800], [[[1, 6], [2, 5], [3, 1], [12, 1], [15, 1]], 49/477757440], [[[1, 6], [2, 5], [3, 1], [12, 1], [20, 1]], 49/318504960], [[[1, 6], [2, 5], [3, 1], [12, 1], [24, 1]], 49/382205952], [[[1, 6], [2, 5], [3, 1], [12, 1], [30, 1]], 49/477757440], [[[1, 6], [2, 5], [3, 1], [14, 1], [18, 1]], 3691/1881169920], [[[1, 6], [2, 5], [3, 2], [4, 1], [5, 2]], 351361/47775744000], [[[1, 6], [2, 5], [3, 2], [4, 1], [6, 4]], 56731109/12383472844800], [[[1, 6], [2, 5], [3, 2], [4, 1], [8, 2]], 179473/15288238080], [[[1, 6], [2, 5], [3, 2], [4, 1], [10, 2]], 59641/47775744000], [[[1, 6], [2, 5], [3, 2], [4, 1], [12, 2]], 116429/45864714240], [[[1, 6], [2, 5], [3, 2], [4, 1], [15, 1]], 2809/2388787200], [[[1, 6], [2, 5], [3, 2], [4, 1], [16, 1]], 5/1327104], [[[1, 6], [2, 5], [3, 2], [4, 1], [20, 1]], 2809/1592524800], [[[1, 6], [2, 5], [3, 2], [4, 1], [24, 1]], 2809/1911029760], [[[1, 6], [2, 5], [3, 2], [4, 1], [30, 1]], 2809/2388787200], [[[1, 6], [2, 5], [3, 2], [4, 2], [6, 3]], 30721765/1981355655168], [[[1, 6], [2, 5], [3, 2], [4, 2], [7, 1]], 3485/668860416], [[[1, 6], [2, 5], [3, 2], [4, 2], [9, 1]], 2487607/619173642240], [[[1, 6], [2, 5], [3, 2], [4, 2], [14, 1]], 6593/1337720832], [[[1, 6], [2, 5], [3, 2], [4, 2], [18, 1]], 1249/429981696], [[[1, 6], [2, 5], [3, 2], [4, 3], [5, 1]], 91343/19110297600], [[[1, 6], [2, 5], [3, 2], [4, 3], [6, 2]], 906060367/26418075402240], [[[1, 6], [2, 5], [3, 2], [4, 3], [8, 1]], 95585/6115295232], [[[1, 6], [2, 5], [3, 2], [4, 3], [10, 1]], 47911/19110297600], [[[1, 6], [2, 5], [3, 2], [4, 3], [12, 1]], 13078661/1467670855680], [[[1, 6], [2, 5], [3, 2], [4, 4], [6, 1]], 101326001/10567230160896], [[[1, 6], [2, 5], [3, 2], [5, 1], [6, 3]], 228823/47775744000], [[[1, 6], [2, 5], [3, 2], [5, 1], [7, 1]], 1/221184], [[[1, 6], [2, 5], [3, 2], [5, 1], [9, 1]], 1321/398131200], [[[1, 6], [2, 5], [3, 2], [5, 1], [14, 1]], 19/3317760], [[[1, 6], [2, 5], [3, 2], [5, 1], [18, 1]], 31/9953280], [[[1, 6], [2, 5], [3, 2], [5, 2], [6, 1]], 38620547/3439853568000], [[[1, 6], [2, 5], [3, 2], [6, 1], [8, 2]], 2296951/220150628352], [[[1, 6], [2, 5], [3, 2], [6, 1], [10, 2]], 4558211/3439853568000], [[[1, 6], [2, 5], [3, 2], [6, 1], [12, 2]], 3608981/1651129712640], [[[1, 6], [2, 5], [3, 2], [6, 1], [15, 1]], 12155/6879707136], [[[1, 6], [2, 5], [3, 2], [6, 1], [20, 1]], 12155/4586471424], [[[1, 6], [2, 5], [3, 2], [6, 1], [24, 1]], 185191/27518828544], [[[1, 6], [2, 5], [3, 2], [6, 1], [30, 1]], 12155/6879707136], [[[1, 6], [2, 5], [3, 2], [6, 2], [7, 1]], 2973305/96315899904], [[[1, 6], [2, 5], [3, 2], [6, 2], [9, 1]], 46759571/2786281390080], [[[1, 6], [2, 5], [3, 2], [6, 2], [14, 1]], 2699353/137594142720], [[[1, 6], [2, 5], [3, 2], [6, 2], [18, 1]], 17425007/1238347284480], [[[1, 6], [2, 5], [3, 2], [6, 3], [8, 1]], 60460403/4953389137920], [[[1, 6], [2, 5], [3, 2], [6, 3], [10, 1]], 65226053/6191736422400], [[[1, 6], [2, 5], [3, 2], [6, 3], [12, 1]], 20298833/1651129712640], [[[1, 6], [2, 5], [3, 2], [7, 1], [8, 1]], 67/13934592], [[[1, 6], [2, 5], [3, 2], [7, 1], [10, 1]], 7/2073600], [[[1, 6], [2, 5], [3, 2], [7, 1], [12, 1]], 3473/1783627776], [[[1, 6], [2, 5], [3, 2], [8, 1], [9, 1]], 18481/5733089280], [[[1, 6], [2, 5], [3, 2], [8, 1], [14, 1]], 149/34836480], [[[1, 6], [2, 5], [3, 2], [8, 1], [18, 1]], 349/134369280], [[[1, 6], [2, 5], [3, 2], [9, 1], [10, 1]], 86047/40310784000], [[[1, 6], [2, 5], [3, 2], [9, 1], [12, 1]], 1367/1146617856], [[[1, 6], [2, 5], [3, 2], [10, 1], [14, 1]], 137/58060800], [[[1, 6], [2, 5], [3, 2], [10, 1], [18, 1]], 1003/671846400], [[[1, 6], [2, 5], [3, 2], [12, 1], [14, 1]], 34039/17836277760], [[[1, 6], [2, 5], [3, 2], [12, 1], [18, 1]], 2867/2548039680], [[[1, 6], [2, 5], [3, 3], [4, 1], [6, 3]], 643618609/22290251120640], [[[1, 6], [2, 5], [3, 3], [4, 1], [7, 1]], 48133/20065812480], [[[1, 6], [2, 5], [3, 3], [4, 1], [9, 1]], 10681/5159780352], [[[1, 6], [2, 5], [3, 3], [4, 1], [14, 1]], 52319/20065812480], [[[1, 6], [2, 5], [3, 3], [4, 1], [18, 1]], 113839/77396705280], [[[1, 6], [2, 5], [3, 3], [4, 2], [5, 1]], 123431/34398535680], [[[1, 6], [2, 5], [3, 3], [4, 2], [6, 2]], 226610233/11888133931008], [[[1, 6], [2, 5], [3, 3], [4, 2], [8, 1]], 809123/137594142720], [[[1, 6], [2, 5], [3, 3], [4, 2], [10, 1]], 204869/171992678400], [[[1, 6], [2, 5], [3, 3], [4, 2], [12, 1]], 42892381/9906778275840], [[[1, 6], [2, 5], [3, 3], [4, 3], [6, 1]], 48755/10319560704], [[[1, 6], [2, 5], [3, 3], [5, 1], [6, 2]], 9996967/619173642240], [[[1, 6], [2, 5], [3, 3], [5, 1], [8, 1]], 24283/7166361600], [[[1, 6], [2, 5], [3, 3], [5, 1], [10, 1]], 1651/933120000], [[[1, 6], [2, 5], [3, 3], [5, 1], [12, 1]], 14003/6370099200], [[[1, 6], [2, 5], [3, 3], [6, 1], [7, 1]], 9733/1504935936], [[[1, 6], [2, 5], [3, 3], [6, 1], [9, 1]], 4316617/928760463360], [[[1, 6], [2, 5], [3, 3], [6, 1], [14, 1]], 3769/627056640], [[[1, 6], [2, 5], [3, 3], [6, 1], [18, 1]], 852917/232190115840], [[[1, 6], [2, 5], [3, 3], [6, 2], [8, 1]], 63138539/4953389137920], [[[1, 6], [2, 5], [3, 3], [6, 2], [10, 1]], 5102287/1289945088000], [[[1, 6], [2, 5], [3, 3], [6, 2], [12, 1]], 55112093/3715041853440], [[[1, 6], [2, 5], [3, 3], [8, 1], [10, 1]], 305/286654464], [[[1, 6], [2, 5], [3, 3], [8, 1], [12, 1]], 65521/30576476160], [[[1, 6], [2, 5], [3, 3], [10, 1], [12, 1]], 298447/214990848000], [[[1, 6], [2, 5], [3, 4], [4, 1], [5, 1]], 94898477/68797071360000], [[[1, 6], [2, 5], [3, 4], [4, 1], [6, 2]], 80145647/12383472844800], [[[1, 6], [2, 5], [3, 4], [4, 1], [8, 1]], 72215153/44030125670400], [[[1, 6], [2, 5], [3, 4], [4, 1], [10, 1]], 17621957/68797071360000], [[[1, 6], [2, 5], [3, 4], [4, 1], [12, 1]], 496693/330225942528], [[[1, 6], [2, 5], [3, 4], [4, 2], [6, 1]], 132917473/99067782758400], [[[1, 6], [2, 5], [3, 4], [5, 1], [6, 1]], 44057909/12899450880000], [[[1, 6], [2, 5], [3, 4], [6, 1], [8, 1]], 612859/220150628352], [[[1, 6], [2, 5], [3, 4], [6, 1], [10, 1]], 1289959/2293235712000], [[[1, 6], [2, 5], [3, 4], [6, 1], [12, 1]], 155414011/49533891379200], [[[1, 6], [2, 5], [3, 5], [4, 1], [6, 1]], 3694019/8255648563200], [[[1, 6], [2, 5], [4, 1], [5, 1], [6, 4]], 10253677/68797071360000], [[[1, 6], [2, 5], [4, 1], [5, 1], [8, 2]], 1939517/84934656000], [[[1, 6], [2, 5], [4, 1], [5, 1], [10, 2]], 9699821/265420800000], [[[1, 6], [2, 5], [4, 1], [5, 1], [12, 2]], 26477/127401984000], [[[1, 6], [2, 5], [4, 1], [5, 1], [15, 1]], 26477/13271040000], [[[1, 6], [2, 5], [4, 1], [5, 1], [16, 1]], 1/73728], [[[1, 6], [2, 5], [4, 1], [5, 1], [20, 1]], 26477/8847360000], [[[1, 6], [2, 5], [4, 1], [5, 1], [24, 1]], 26477/10616832000], [[[1, 6], [2, 5], [4, 1], [5, 1], [30, 1]], 26477/13271040000], [[[1, 6], [2, 5], [4, 1], [5, 2], [6, 2]], 57931/47775744000], [[[1, 6], [2, 5], [4, 1], [5, 2], [8, 1]], 731131/56623104000], [[[1, 6], [2, 5], [4, 1], [5, 2], [10, 1]], 14645701/265420800000], [[[1, 6], [2, 5], [4, 1], [5, 2], [12, 1]], 24241/6370099200], [[[1, 6], [2, 5], [4, 1], [6, 2], [8, 2]], 132067/15288238080], [[[1, 6], [2, 5], [4, 1], [6, 2], [10, 2]], 30023/9555148800], [[[1, 6], [2, 5], [4, 1], [6, 2], [12, 2]], 74441/45864714240], [[[1, 6], [2, 5], [4, 1], [6, 2], [15, 1]], 1867/2388787200], [[[1, 6], [2, 5], [4, 1], [6, 2], [16, 1]], 1/442368], [[[1, 6], [2, 5], [4, 1], [6, 2], [20, 1]], 1867/1592524800], [[[1, 6], [2, 5], [4, 1], [6, 2], [24, 1]], 1867/1911029760], [[[1, 6], [2, 5], [4, 1], [6, 2], [30, 1]], 1867/2388787200], [[[1, 6], [2, 5], [4, 1], [6, 3], [7, 1]], 48133/20065812480], [[[1, 6], [2, 5], [4, 1], [6, 3], [9, 1]], 82879/77396705280], [[[1, 6], [2, 5], [4, 1], [6, 3], [14, 1]], 1315/1337720832], [[[1, 6], [2, 5], [4, 1], [6, 3], [18, 1]], 29359/25798901760], [[[1, 6], [2, 5], [4, 1], [6, 4], [8, 1]], 12904571/14676708556800], [[[1, 6], [2, 5], [4, 1], [6, 4], [10, 1]], 39706757/68797071360000], [[[1, 6], [2, 5], [4, 1], [6, 4], [12, 1]], 1238969/1651129712640], [[[1, 6], [2, 5], [4, 1], [7, 1], [9, 1]], 259/39813120], [[[1, 6], [2, 5], [4, 1], [7, 1], [14, 1]], 53471/867041280], [[[1, 6], [2, 5], [4, 1], [7, 1], [18, 1]], 259/39813120], [[[1, 6], [2, 5], [4, 1], [8, 1], [10, 2]], 397051/56623104000], [[[1, 6], [2, 5], [4, 1], [8, 1], [12, 2]], 7291/27179089920], [[[1, 6], [2, 5], [4, 1], [8, 1], [15, 1]], 7291/2831155200], [[[1, 6], [2, 5], [4, 1], [8, 1], [16, 1]], 1517/56623104], [[[1, 6], [2, 5], [4, 1], [8, 1], [20, 1]], 29713/5662310400], [[[1, 6], [2, 5], [4, 1], [8, 1], [24, 1]], 37553/6794772480], [[[1, 6], [2, 5], [4, 1], [8, 1], [30, 1]], 7291/2831155200], [[[1, 6], [2, 5], [4, 1], [8, 2], [10, 1]], 1365877/84934656000], [[[1, 6], [2, 5], [4, 1], [8, 2], [12, 1]], 24529/2038431744], [[[1, 6], [2, 5], [4, 1], [9, 1], [14, 1]], 1439/278691840], [[[1, 6], [2, 5], [4, 1], [9, 1], [18, 1]], 74371/4299816960], [[[1, 6], [2, 5], [4, 1], [10, 1], [12, 2]], 18757/127401984000], [[[1, 6], [2, 5], [4, 1], [10, 1], [15, 1]], 18757/13271040000], [[[1, 6], [2, 5], [4, 1], [10, 1], [16, 1]], 1/122880], [[[1, 6], [2, 5], [4, 1], [10, 1], [20, 1]], 18757/8847360000], [[[1, 6], [2, 5], [4, 1], [10, 1], [24, 1]], 18757/10616832000], [[[1, 6], [2, 5], [4, 1], [10, 1], [30, 1]], 18757/13271040000], [[[1, 6], [2, 5], [4, 1], [10, 2], [12, 1]], 10417/6370099200], [[[1, 6], [2, 5], [4, 1], [12, 1], [15, 1]], 49/318504960], [[[1, 6], [2, 5], [4, 1], [12, 1], [16, 1]], 49/42467328], [[[1, 6], [2, 5], [4, 1], [12, 1], [20, 1]], 49/42467328], [[[1, 6], [2, 5], [4, 1], [12, 1], [24, 1]], 343/254803968], [[[1, 6], [2, 5], [4, 1], [12, 1], [30, 1]], 49/318504960], [[[1, 6], [2, 5], [4, 1], [14, 1], [18, 1]], 67/18579456], [[[1, 6], [2, 5], [4, 2], [5, 1], [6, 3]], 38959/57330892800], [[[1, 6], [2, 5], [4, 2], [5, 1], [7, 1]], 13/1228800], [[[1, 6], [2, 5], [4, 2], [5, 1], [9, 1]], 2783/477757440], [[[1, 6], [2, 5], [4, 2], [5, 1], [14, 1]], 2557/309657600], [[[1, 6], [2, 5], [4, 2], [5, 1], [18, 1]], 4159/796262400], [[[1, 6], [2, 5], [4, 2], [5, 2], [6, 1]], 311917/76441190400], [[[1, 6], [2, 5], [4, 2], [6, 1], [8, 2]], 4191797/122305904640], [[[1, 6], [2, 5], [4, 2], [6, 1], [10, 2]], 1901441/382205952000], [[[1, 6], [2, 5], [4, 2], [6, 1], [12, 2]], 1091369/183458856960], [[[1, 6], [2, 5], [4, 2], [6, 1], [15, 1]], 29153/19110297600], [[[1, 6], [2, 5], [4, 2], [6, 1], [16, 1]], 1/65536], [[[1, 6], [2, 5], [4, 2], [6, 1], [20, 1]], 104033/12740198400], [[[1, 6], [2, 5], [4, 2], [6, 1], [24, 1]], 29153/15288238080], [[[1, 6], [2, 5], [4, 2], [6, 1], [30, 1]], 29153/19110297600], [[[1, 6], [2, 5], [4, 2], [6, 2], [7, 1]], 3485/668860416], [[[1, 6], [2, 5], [4, 2], [6, 2], [9, 1]], 12515/5159780352], [[[1, 6], [2, 5], [4, 2], [6, 2], [14, 1]], 1651/668860416], [[[1, 6], [2, 5], [4, 2], [6, 2], [18, 1]], 88133/34398535680], [[[1, 6], [2, 5], [4, 2], [6, 3], [8, 1]], 999811/275188285440], [[[1, 6], [2, 5], [4, 2], [6, 3], [10, 1]], 76643/42998169600], [[[1, 6], [2, 5], [4, 2], [6, 3], [12, 1]], 1385431/550376570880], [[[1, 6], [2, 5], [4, 2], [7, 1], [8, 1]], 46073/990904320], [[[1, 6], [2, 5], [4, 2], [7, 1], [10, 1]], 13/1228800], [[[1, 6], [2, 5], [4, 2], [7, 1], [12, 1]], 4801/445906944], [[[1, 6], [2, 5], [4, 2], [8, 1], [9, 1]], 46073/1911029760], [[[1, 6], [2, 5], [4, 2], [8, 1], [14, 1]], 13159/495452160], [[[1, 6], [2, 5], [4, 2], [8, 1], [18, 1]], 72391/3822059520], [[[1, 6], [2, 5], [4, 2], [9, 1], [10, 1]], 12293/2388787200], [[[1, 6], [2, 5], [4, 2], [9, 1], [12, 1]], 4801/859963392], [[[1, 6], [2, 5], [4, 2], [10, 1], [14, 1]], 1117/206438400], [[[1, 6], [2, 5], [4, 2], [10, 1], [18, 1]], 2273/597196800], [[[1, 6], [2, 5], [4, 2], [12, 1], [14, 1]], 28607/4459069440], [[[1, 6], [2, 5], [4, 2], [12, 1], [18, 1]], 8513/1911029760], [[[1, 6], [2, 5], [4, 3], [5, 1], [6, 2]], 3461/2123366400], [[[1, 6], [2, 5], [4, 3], [5, 1], [8, 1]], 43939/943718400], [[[1, 6], [2, 5], [4, 3], [5, 1], [10, 1]], 877/20480000], [[[1, 6], [2, 5], [4, 3], [5, 1], [12, 1]], 564167/31850496000], [[[1, 6], [2, 5], [4, 3], [6, 1], [7, 1]], 3779/743178240], [[[1, 6], [2, 5], [4, 3], [6, 1], [9, 1]], 14099/5733089280], [[[1, 6], [2, 5], [4, 3], [6, 1], [14, 1]], 979/371589120], [[[1, 6], [2, 5], [4, 3], [6, 1], [18, 1]], 234919/91729428480], [[[1, 6], [2, 5], [4, 3], [6, 2], [8, 1]], 156943/15288238080], [[[1, 6], [2, 5], [4, 3], [6, 2], [10, 1]], 52121/19110297600], [[[1, 6], [2, 5], [4, 3], [6, 2], [12, 1]], 8449157/1467670855680], [[[1, 6], [2, 5], [4, 3], [8, 1], [10, 1]], 49501/1415577600], [[[1, 6], [2, 5], [4, 3], [8, 1], [12, 1]], 392263/6794772480], [[[1, 6], [2, 5], [4, 3], [10, 1], [12, 1]], 392587/31850496000], [[[1, 6], [2, 5], [4, 4], [5, 1], [6, 1]], 6917959/3822059520000], [[[1, 6], [2, 5], [4, 4], [6, 1], [8, 1]], 19837919/978447237120], [[[1, 6], [2, 5], [4, 4], [6, 1], [10, 1]], 17457661/6115295232000], [[[1, 6], [2, 5], [4, 4], [6, 1], [12, 1]], 151547491/14676708556800], [[[1, 6], [2, 5], [5, 1], [6, 1], [8, 2]], 65269/15925248000], [[[1, 6], [2, 5], [5, 1], [6, 1], [10, 2]], 365077/49766400000], [[[1, 6], [2, 5], [5, 1], [6, 1], [12, 2]], 1909/23887872000], [[[1, 6], [2, 5], [5, 1], [6, 1], [15, 1]], 1909/2488320000], [[[1, 6], [2, 5], [5, 1], [6, 1], [20, 1]], 1909/1658880000], [[[1, 6], [2, 5], [5, 1], [6, 1], [24, 1]], 1909/1990656000], [[[1, 6], [2, 5], [5, 1], [6, 1], [30, 1]], 1909/2488320000], [[[1, 6], [2, 5], [5, 1], [6, 2], [7, 1]], 7/2073600], [[[1, 6], [2, 5], [5, 1], [6, 2], [9, 1]], 293/167961600], [[[1, 6], [2, 5], [5, 1], [6, 2], [14, 1]], 397/174182400], [[[1, 6], [2, 5], [5, 1], [6, 2], [18, 1]], 8449/4478976000], [[[1, 6], [2, 5], [5, 1], [6, 3], [8, 1]], 1907/1791590400], [[[1, 6], [2, 5], [5, 1], [6, 3], [10, 1]], 27253/22394880000], [[[1, 6], [2, 5], [5, 1], [6, 3], [12, 1]], 28069/23887872000], [[[1, 6], [2, 5], [5, 1], [7, 1], [8, 1]], 97/8601600], [[[1, 6], [2, 5], [5, 1], [7, 1], [10, 1]], 181/6720000], [[[1, 6], [2, 5], [5, 1], [8, 1], [9, 1]], 643/99532800], [[[1, 6], [2, 5], [5, 1], [8, 1], [14, 1]], 67/6451200], [[[1, 6], [2, 5], [5, 1], [8, 1], [18, 1]], 31/4976640], [[[1, 6], [2, 5], [5, 1], [9, 1], [10, 1]], 181/12960000], [[[1, 6], [2, 5], [5, 1], [10, 1], [14, 1]], 1261/80640000], [[[1, 6], [2, 5], [5, 1], [10, 1], [18, 1]], 3433/311040000], [[[1, 6], [2, 5], [5, 2], [6, 1], [8, 1]], 24629/12740198400], [[[1, 6], [2, 5], [5, 2], [6, 1], [10, 1]], 221983/79626240000], [[[1, 6], [2, 5], [5, 2], [6, 1], [12, 1]], 5713/2359296000], [[[1, 6], [2, 5], [6, 1], [7, 1], [9, 1]], 589/209018880], [[[1, 6], [2, 5], [6, 1], [7, 1], [14, 1]], 227/10838016], [[[1, 6], [2, 5], [6, 1], [7, 1], [18, 1]], 905/334430208], [[[1, 6], [2, 5], [6, 1], [8, 1], [10, 2]], 40757/12740198400], [[[1, 6], [2, 5], [6, 1], [8, 1], [12, 2]], 437/6115295232], [[[1, 6], [2, 5], [6, 1], [8, 1], [15, 1]], 437/637009920], [[[1, 6], [2, 5], [6, 1], [8, 1], [16, 1]], 13/3538944], [[[1, 6], [2, 5], [6, 1], [8, 1], [20, 1]], 437/424673280], [[[1, 6], [2, 5], [6, 1], [8, 1], [24, 1]], 437/509607936], [[[1, 6], [2, 5], [6, 1], [8, 1], [30, 1]], 437/637009920], [[[1, 6], [2, 5], [6, 1], [8, 2], [10, 1]], 119311/25480396800], [[[1, 6], [2, 5], [6, 1], [8, 2], [12, 1]], 15049/6794772480], [[[1, 6], [2, 5], [6, 1], [9, 1], [14, 1]], 73/41803776], [[[1, 6], [2, 5], [6, 1], [9, 1], [18, 1]], 3605/644972544], [[[1, 6], [2, 5], [6, 1], [10, 1], [12, 2]], 1951/38220595200], [[[1, 6], [2, 5], [6, 1], [10, 1], [15, 1]], 1951/3981312000], [[[1, 6], [2, 5], [6, 1], [10, 1], [20, 1]], 1951/2654208000], [[[1, 6], [2, 5], [6, 1], [10, 1], [24, 1]], 1951/3185049600], [[[1, 6], [2, 5], [6, 1], [10, 1], [30, 1]], 1951/3981312000], [[[1, 6], [2, 5], [6, 1], [10, 2], [12, 1]], 17369/21233664000], [[[1, 6], [2, 5], [6, 1], [12, 1], [15, 1]], 89/1061683200], [[[1, 6], [2, 5], [6, 1], [12, 1], [20, 1]], 89/707788800], [[[1, 6], [2, 5], [6, 1], [12, 1], [24, 1]], 89/849346560], [[[1, 6], [2, 5], [6, 1], [12, 1], [30, 1]], 89/1061683200], [[[1, 6], [2, 5], [6, 1], [14, 1], [18, 1]], 3751/3344302080], [[[1, 6], [2, 5], [6, 2], [7, 1], [8, 1]], 67/13934592], [[[1, 6], [2, 5], [6, 2], [7, 1], [10, 1]], 1/221184], [[[1, 6], [2, 5], [6, 2], [7, 1], [12, 1]], 3473/1783627776], [[[1, 6], [2, 5], [6, 2], [8, 1], [9, 1]], 121/53747712], [[[1, 6], [2, 5], [6, 2], [8, 1], [14, 1]], 5/2322432], [[[1, 6], [2, 5], [6, 2], [8, 1], [18, 1]], 743/382205952], [[[1, 6], [2, 5], [6, 2], [9, 1], [10, 1]], 169/89579520], [[[1, 6], [2, 5], [6, 2], [9, 1], [12, 1]], 3041/3439853568], [[[1, 6], [2, 5], [6, 2], [10, 1], [14, 1]], 11/7741440], [[[1, 6], [2, 5], [6, 2], [10, 1], [18, 1]], 1079/796262400], [[[1, 6], [2, 5], [6, 2], [12, 1], [14, 1]], 14071/17836277760], [[[1, 6], [2, 5], [6, 2], [12, 1], [18, 1]], 2891/4586471424], [[[1, 6], [2, 5], [6, 3], [8, 1], [10, 1]], 1/663552], [[[1, 6], [2, 5], [6, 3], [8, 1], [12, 1]], 845/679477248], [[[1, 6], [2, 5], [6, 3], [10, 1], [12, 1]], 10997/12740198400], [[[1, 6], [2, 5], [7, 1], [8, 1], [10, 1]], 97/8601600], [[[1, 6], [2, 5], [8, 1], [9, 1], [10, 1]], 521/99532800], [[[1, 6], [2, 5], [8, 1], [10, 1], [14, 1]], 13/2580480], [[[1, 6], [2, 5], [8, 1], [10, 1], [18, 1]], 1/276480], [[[1, 6], [2, 7], [3, 1], [4, 1], [5, 2]], 6696797/3822059520000], [[[1, 6], [2, 7], [3, 1], [4, 1], [6, 4]], 1935716269/990677827584000], [[[1, 6], [2, 7], [3, 1], [4, 1], [8, 2]], 6001079/1223059046400], [[[1, 6], [2, 7], [3, 1], [4, 1], [10, 2]], 7619117/3822059520000], [[[1, 6], [2, 7], [3, 1], [4, 1], [12, 2]], 238109/1834588569600], [[[1, 6], [2, 7], [3, 1], [4, 1], [15, 1]], 45869/191102976000], [[[1, 6], [2, 7], [3, 1], [4, 1], [16, 1]], 13/10616832], [[[1, 6], [2, 7], [3, 1], [4, 1], [20, 1]], 45869/127401984000], [[[1, 6], [2, 7], [3, 1], [4, 1], [24, 1]], 45869/152882380800], [[[1, 6], [2, 7], [3, 1], [4, 1], [30, 1]], 45869/191102976000], [[[1, 6], [2, 7], [3, 1], [4, 2], [6, 3]], 104019269/17832200896512], [[[1, 6], [2, 7], [3, 1], [4, 2], [7, 1]], 395221/187280916480], [[[1, 6], [2, 7], [3, 1], [4, 2], [9, 1]], 183128381/115579079884800], [[[1, 6], [2, 7], [3, 1], [4, 2], [14, 1]], 1168561/321052999680], [[[1, 6], [2, 7], [3, 1], [4, 2], [18, 1]], 2218069/1238347284480], [[[1, 6], [2, 7], [3, 1], [4, 3], [5, 1]], 286673/101921587200], [[[1, 6], [2, 7], [3, 1], [4, 3], [6, 2]], 128890691/13209037701120], [[[1, 6], [2, 7], [3, 1], [4, 3], [8, 1]], 123764149/10273695989760], [[[1, 6], [2, 7], [3, 1], [4, 3], [10, 1]], 333203/127401984000], [[[1, 6], [2, 7], [3, 1], [4, 3], [12, 1]], 15217357/3669177139200], [[[1, 6], [2, 7], [3, 1], [4, 4], [6, 1]], 153294714911/17832200896512000], [[[1, 6], [2, 7], [3, 1], [5, 1], [6, 3]], 10633211/5159780352000], [[[1, 6], [2, 7], [3, 1], [5, 1], [7, 1]], 45007/78033715200], [[[1, 6], [2, 7], [3, 1], [5, 1], [9, 1]], 272131/601974374400], [[[1, 6], [2, 7], [3, 1], [5, 1], [14, 1]], 269/176947200], [[[1, 6], [2, 7], [3, 1], [5, 1], [18, 1]], 9551/14332723200], [[[1, 6], [2, 7], [3, 1], [5, 2], [6, 1]], 506642033/232190115840000], [[[1, 6], [2, 7], [3, 1], [6, 1], [8, 2]], 344307341/74300837068800], [[[1, 6], [2, 7], [3, 1], [6, 1], [10, 2]], 942305393/232190115840000], [[[1, 6], [2, 7], [3, 1], [6, 1], [12, 2]], 18339851/111451255603200], [[[1, 6], [2, 7], [3, 1], [6, 1], [15, 1]], 2974961/11609505792000], [[[1, 6], [2, 7], [3, 1], [6, 1], [20, 1]], 2974961/7739670528000], [[[1, 6], [2, 7], [3, 1], [6, 1], [24, 1]], 6547061/9287604633600], [[[1, 6], [2, 7], [3, 1], [6, 1], [30, 1]], 2974961/11609505792000], [[[1, 6], [2, 7], [3, 1], [6, 2], [7, 1]], 3176821/1123685498880], [[[1, 6], [2, 7], [3, 1], [6, 2], [9, 1]], 7610117/4334215495680], [[[1, 6], [2, 7], [3, 1], [6, 2], [14, 1]], 4894871/1444738498560], [[[1, 6], [2, 7], [3, 1], [6, 2], [18, 1]], 167369159/83588441702400], [[[1, 6], [2, 7], [3, 1], [6, 3], [8, 1]], 60073/18345885696], [[[1, 6], [2, 7], [3, 1], [6, 3], [10, 1]], 32962693/9287604633600], [[[1, 6], [2, 7], [3, 1], [6, 3], [12, 1]], 178148831/111451255603200], [[[1, 6], [2, 7], [3, 1], [7, 1], [8, 1]], 877/990904320], [[[1, 6], [2, 7], [3, 1], [7, 1], [10, 1]], 227/193536000], [[[1, 6], [2, 7], [3, 1], [7, 1], [12, 1]], 21109/187280916480], [[[1, 6], [2, 7], [3, 1], [8, 1], [9, 1]], 5957/9172942848], [[[1, 6], [2, 7], [3, 1], [8, 1], [14, 1]], 277/165150720], [[[1, 6], [2, 7], [3, 1], [8, 1], [18, 1]], 2339/2866544640], [[[1, 6], [2, 7], [3, 1], [9, 1], [10, 1]], 110863/143327232000], [[[1, 6], [2, 7], [3, 1], [9, 1], [12, 1]], 54751/722369249280], [[[1, 6], [2, 7], [3, 1], [10, 1], [14, 1]], 8107/5225472000], [[[1, 6], [2, 7], [3, 1], [10, 1], [18, 1]], 6679/8062156800], [[[1, 6], [2, 7], [3, 1], [12, 1], [14, 1]], 1781/8918138880], [[[1, 6], [2, 7], [3, 1], [12, 1], [18, 1]], 3383/34398535680], [[[1, 6], [2, 7], [3, 2], [4, 1], [6, 3]], 1122447727/99067782758400], [[[1, 6], [2, 7], [3, 2], [4, 1], [7, 1]], 563/557383680], [[[1, 6], [2, 7], [3, 2], [4, 1], [9, 1]], 10567/12740198400], [[[1, 6], [2, 7], [3, 2], [4, 1], [14, 1]], 167/79626240], [[[1, 6], [2, 7], [3, 2], [4, 1], [18, 1]], 841/859963392], [[[1, 6], [2, 7], [3, 2], [4, 2], [5, 1]], 239731/100329062400], [[[1, 6], [2, 7], [3, 2], [4, 2], [6, 2]], 27484838047/1232843518771200], [[[1, 6], [2, 7], [3, 2], [4, 2], [8, 1]], 98945/18345885696], [[[1, 6], [2, 7], [3, 2], [4, 2], [10, 1]], 29891/14332723200], [[[1, 6], [2, 7], [3, 2], [4, 2], [12, 1]], 12224592229/5547795834470400], [[[1, 6], [2, 7], [3, 2], [4, 3], [6, 1]], 77209181/9906778275840], [[[1, 6], [2, 7], [3, 2], [5, 1], [6, 2]], 742493797/96315899904000], [[[1, 6], [2, 7], [3, 2], [5, 1], [8, 1]], 7271/6370099200], [[[1, 6], [2, 7], [3, 2], [5, 1], [10, 1]], 199/99532800], [[[1, 6], [2, 7], [3, 2], [5, 1], [12, 1]], 41353/128421199872], [[[1, 6], [2, 7], [3, 2], [6, 1], [7, 1]], 2707861/1444738498560], [[[1, 6], [2, 7], [3, 2], [6, 1], [9, 1]], 117317639/83588441702400], [[[1, 6], [2, 7], [3, 2], [6, 1], [14, 1]], 4894871/1444738498560], [[[1, 6], [2, 7], [3, 2], [6, 1], [18, 1]], 21837649/13002646487040], [[[1, 6], [2, 7], [3, 2], [6, 2], [8, 1]], 402601799/39627113103360], [[[1, 6], [2, 7], [3, 2], [6, 2], [10, 1]], 1322871053/123834728448000], [[[1, 6], [2, 7], [3, 2], [6, 2], [12, 1]], 157189/61917364224], [[[1, 6], [2, 7], [3, 2], [8, 1], [10, 1]], 4123/2985984000], [[[1, 6], [2, 7], [3, 2], [8, 1], [12, 1]], 113797/244611809280], [[[1, 6], [2, 7], [3, 2], [10, 1], [12, 1]], 424879/764411904000], [[[1, 6], [2, 7], [3, 3], [4, 1], [5, 1]], 1019047/1146617856000], [[[1, 6], [2, 7], [3, 3], [4, 1], [6, 2]], 8493732029/891610044825600], [[[1, 6], [2, 7], [3, 3], [4, 1], [8, 1]], 30529907/23115815976960], [[[1, 6], [2, 7], [3, 3], [4, 1], [10, 1]], 2658221/3439853568000], [[[1, 6], [2, 7], [3, 3], [4, 1], [12, 1]], 1269589/1834588569600], [[[1, 6], [2, 7], [3, 3], [4, 2], [6, 1]], 365949121/89161004482560], [[[1, 6], [2, 7], [3, 3], [5, 1], [6, 1]], 88638571/46438023168000], [[[1, 6], [2, 7], [3, 3], [6, 1], [8, 1]], 17911477/7430083706880], [[[1, 6], [2, 7], [3, 3], [6, 1], [10, 1]], 2102837/1031956070400], [[[1, 6], [2, 7], [3, 3], [6, 1], [12, 1]], 121720991/111451255603200], [[[1, 6], [2, 7], [3, 4], [4, 1], [6, 1]], 3742066069/2972033482752000], [[[1, 6], [2, 7], [4, 1], [5, 1], [6, 3]], 829367/859963392000], [[[1, 6], [2, 7], [4, 1], [5, 1], [7, 1]], 22987/12386304000], [[[1, 6], [2, 7], [4, 1], [5, 1], [9, 1]], 20167/15925248000], [[[1, 6], [2, 7], [4, 1], [5, 1], [14, 1]], 359/98304000], [[[1, 6], [2, 7], [4, 1], [5, 1], [18, 1]], 20687/11943936000], [[[1, 6], [2, 7], [4, 1], [5, 2], [6, 1]], 16136117/11466178560000], [[[1, 6], [2, 7], [4, 1], [6, 1], [8, 2]], 21158339/3669177139200], [[[1, 6], [2, 7], [4, 1], [6, 1], [10, 2]], 41348117/11466178560000], [[[1, 6], [2, 7], [4, 1], [6, 1], [12, 2]], 878069/5503765708800], [[[1, 6], [2, 7], [4, 1], [6, 1], [15, 1]], 172469/573308928000], [[[1, 6], [2, 7], [4, 1], [6, 1], [16, 1]], 1/589824], [[[1, 6], [2, 7], [4, 1], [6, 1], [20, 1]], 172469/382205952000], [[[1, 6], [2, 7], [4, 1], [6, 1], [24, 1]], 172469/458647142400], [[[1, 6], [2, 7], [4, 1], [6, 1], [30, 1]], 172469/573308928000], [[[1, 6], [2, 7], [4, 1], [6, 2], [7, 1]], 2917/1433272320], [[[1, 6], [2, 7], [4, 1], [6, 2], [9, 1]], 2285/1934917632], [[[1, 6], [2, 7], [4, 1], [6, 2], [14, 1]], 167/79626240], [[[1, 6], [2, 7], [4, 1], [6, 2], [18, 1]], 1407749/1031956070400], [[[1, 6], [2, 7], [4, 1], [6, 3], [8, 1]], 394891/183458856960], [[[1, 6], [2, 7], [4, 1], [6, 3], [10, 1]], 1624987/859963392000], [[[1, 6], [2, 7], [4, 1], [6, 3], [12, 1]], 20007167/16511297126400], [[[1, 6], [2, 7], [4, 1], [7, 1], [8, 1]], 146119/41617981440], [[[1, 6], [2, 7], [4, 1], [7, 1], [10, 1]], 5941/1769472000], [[[1, 6], [2, 7], [4, 1], [7, 1], [12, 1]], 311/1486356480], [[[1, 6], [2, 7], [4, 1], [8, 1], [9, 1]], 751571/321052999680], [[[1, 6], [2, 7], [4, 1], [8, 1], [14, 1]], 7291/1321205760], [[[1, 6], [2, 7], [4, 1], [8, 1], [18, 1]], 7291/2548039680], [[[1, 6], [2, 7], [4, 1], [9, 1], [10, 1]], 94541/47775744000], [[[1, 6], [2, 7], [4, 1], [9, 1], [12, 1]], 89/637009920], [[[1, 6], [2, 7], [4, 1], [10, 1], [14, 1]], 359/98304000], [[[1, 6], [2, 7], [4, 1], [10, 1], [18, 1]], 24547/11943936000], [[[1, 6], [2, 7], [4, 1], [12, 1], [14, 1]], 7/21233664], [[[1, 6], [2, 7], [4, 1], [12, 1], [18, 1]], 49/286654464], [[[1, 6], [2, 7], [4, 2], [5, 1], [6, 2]], 114979/47775744000], [[[1, 6], [2, 7], [4, 2], [5, 1], [8, 1]], 1842851/169869312000], [[[1, 6], [2, 7], [4, 2], [5, 1], [10, 1]], 960031/53084160000], [[[1, 6], [2, 7], [4, 2], [5, 1], [12, 1]], 8995711/4013162496000], [[[1, 6], [2, 7], [4, 2], [6, 1], [7, 1]], 95063/32105299968], [[[1, 6], [2, 7], [4, 2], [6, 1], [9, 1]], 559561/309586821120], [[[1, 6], [2, 7], [4, 2], [6, 1], [14, 1]], 1168561/321052999680], [[[1, 6], [2, 7], [4, 2], [6, 1], [18, 1]], 251181941/115579079884800], [[[1, 6], [2, 7], [4, 2], [6, 2], [8, 1]], 4302217/550376570880], [[[1, 6], [2, 7], [4, 2], [6, 2], [10, 1]], 2869909/687970713600], [[[1, 6], [2, 7], [4, 2], [6, 2], [12, 1]], 1993104221/616421759385600], [[[1, 6], [2, 7], [4, 2], [8, 1], [10, 1]], 2644871/169869312000], [[[1, 6], [2, 7], [4, 2], [8, 1], [12, 1]], 209119/30576476160], [[[1, 6], [2, 7], [4, 2], [10, 1], [12, 1]], 626777/191102976000], [[[1, 6], [2, 7], [4, 3], [5, 1], [6, 1]], 229033/84934656000], [[[1, 6], [2, 7], [4, 3], [6, 1], [8, 1]], 22149149/1467670855680], [[[1, 6], [2, 7], [4, 3], [6, 1], [10, 1]], 4888609/1146617856000], [[[1, 6], [2, 7], [4, 3], [6, 1], [12, 1]], 14490923/2751882854400], [[[1, 6], [2, 7], [5, 1], [6, 1], [7, 1]], 421/435456000], [[[1, 6], [2, 7], [5, 1], [6, 1], [9, 1]], 25351/40310784000], [[[1, 6], [2, 7], [5, 1], [6, 1], [14, 1]], 8107/5225472000], [[[1, 6], [2, 7], [5, 1], [6, 1], [18, 1]], 2440253/3009871872000], [[[1, 6], [2, 7], [5, 1], [6, 2], [8, 1]], 5999/4478976000], [[[1, 6], [2, 7], [5, 1], [6, 2], [10, 1]], 65609/22394880000], [[[1, 6], [2, 7], [5, 1], [6, 2], [12, 1]], 9487517/16052649984000], [[[1, 6], [2, 7], [5, 1], [8, 1], [10, 1]], 7777/1105920000], [[[1, 6], [2, 7], [6, 1], [7, 1], [8, 1]], 7307/5350883328], [[[1, 6], [2, 7], [6, 1], [7, 1], [10, 1]], 2123/1238630400], [[[1, 6], [2, 7], [6, 1], [7, 1], [12, 1]], 1423/8918138880], [[[1, 6], [2, 7], [6, 1], [8, 1], [9, 1]], 86953/103195607040], [[[1, 6], [2, 7], [6, 1], [8, 1], [14, 1]], 277/165150720], [[[1, 6], [2, 7], [6, 1], [8, 1], [18, 1]], 14711/15288238080], [[[1, 6], [2, 7], [6, 1], [9, 1], [10, 1]], 2753/2866544640], [[[1, 6], [2, 7], [6, 1], [9, 1], [12, 1]], 3383/34398535680], [[[1, 6], [2, 7], [6, 1], [10, 1], [14, 1]], 269/176947200], [[[1, 6], [2, 7], [6, 1], [10, 1], [18, 1]], 45547/47775744000], [[[1, 6], [2, 7], [6, 1], [12, 1], [14, 1]], 1781/8918138880], [[[1, 6], [2, 7], [6, 1], [12, 1], [18, 1]], 1247/11466178560], [[[1, 6], [2, 7], [6, 2], [8, 1], [10, 1]], 2383/1061683200], [[[1, 6], [2, 7], [6, 2], [8, 1], [12, 1]], 19021/27179089920], [[[1, 6], [2, 7], [6, 2], [10, 1], [12, 1]], 175997/254803968000], [[[1, 6], [2, 9], [3, 1], [4, 1], [6, 3]], 795055259/693474479308800], [[[1, 6], [2, 9], [3, 1], [4, 1], [7, 1]], 631951/7491236659200], [[[1, 6], [2, 9], [3, 1], [4, 1], [9, 1]], 76718111/1155790798848000], [[[1, 6], [2, 9], [3, 1], [4, 1], [14, 1]], 17327/52022476800], [[[1, 6], [2, 9], [3, 1], [4, 1], [18, 1]], 302689/2407897497600], [[[1, 6], [2, 9], [3, 1], [4, 2], [5, 1]], 1173324469/3852635996160000], [[[1, 6], [2, 9], [3, 1], [4, 2], [6, 2]], 50924792153/24965081255116800], [[[1, 6], [2, 9], [3, 1], [4, 2], [8, 1]], 871178879/1232843518771200], [[[1, 6], [2, 9], [3, 1], [4, 2], [10, 1]], 8913907/13759414272000], [[[1, 6], [2, 9], [3, 1], [4, 2], [12, 1]], 1558905587/8916100448256000], [[[1, 6], [2, 9], [3, 1], [4, 3], [6, 1]], 2541344339/1849265278156800], [[[1, 6], [2, 9], [3, 1], [5, 1], [6, 2]], 97795069/240789749760000], [[[1, 6], [2, 9], [3, 1], [5, 1], [8, 1]], 11123797/160526499840000], [[[1, 6], [2, 9], [3, 1], [5, 1], [10, 1]], 54059/278691840000], [[[1, 6], [2, 9], [3, 1], [5, 1], [12, 1]], 1024087/120394874880000], [[[1, 6], [2, 9], [3, 1], [6, 1], [7, 1]], 10915/96315899904], [[[1, 6], [2, 9], [3, 1], [6, 1], [9, 1]], 511339/6191736422400], [[[1, 6], [2, 9], [3, 1], [6, 1], [14, 1]], 14085223/37924385587200], [[[1, 6], [2, 9], [3, 1], [6, 1], [18, 1]], 3459407027/23404763676672000], [[[1, 6], [2, 9], [3, 1], [6, 2], [8, 1]], 299644243/462316319539200], [[[1, 6], [2, 9], [3, 1], [6, 2], [10, 1]], 635087057/650132324352000], [[[1, 6], [2, 9], [3, 1], [6, 2], [12, 1]], 2561229941/17832200896512000], [[[1, 6], [2, 9], [3, 1], [8, 1], [10, 1]], 10447/42467328000], [[[1, 6], [2, 9], [3, 1], [8, 1], [12, 1]], 1288291/77052719923200], [[[1, 6], [2, 9], [3, 1], [10, 1], [12, 1]], 8437/267544166400], [[[1, 6], [2, 9], [3, 2], [4, 1], [5, 1]], 194711/1805923123200], [[[1, 6], [2, 9], [3, 2], [4, 1], [6, 2]], 231702838613/110955916689408000], [[[1, 6], [2, 9], [3, 2], [4, 1], [8, 1]], 97714427/462316319539200], [[[1, 6], [2, 9], [3, 2], [4, 1], [10, 1]], 42078289/144473849856000], [[[1, 6], [2, 9], [3, 2], [4, 1], [12, 1]], 3158078719/55477958344704000], [[[1, 6], [2, 9], [3, 2], [4, 2], [6, 1]], 24192509377/22191183337881600], [[[1, 6], [2, 9], [3, 2], [5, 1], [6, 1]], 92426911/481579499520000], [[[1, 6], [2, 9], [3, 2], [6, 1], [8, 1]], 16762603/49533891379200], [[[1, 6], [2, 9], [3, 2], [6, 1], [10, 1]], 59924803/108355387392000], [[[1, 6], [2, 9], [3, 2], [6, 1], [12, 1]], 51994457/693474479308800], [[[1, 6], [2, 9], [3, 3], [4, 1], [6, 1]], 2312533283/6241270313779200], [[[1, 6], [2, 9], [4, 1], [5, 1], [6, 2]], 1230223/3439853568000], [[[1, 6], [2, 9], [4, 1], [5, 1], [8, 1]], 7255699/23781703680000], [[[1, 6], [2, 9], [4, 1], [5, 1], [10, 1]], 62994643/66886041600000], [[[1, 6], [2, 9], [4, 1], [5, 1], [12, 1]], 662821/40131624960000], [[[1, 6], [2, 9], [4, 1], [6, 1], [7, 1]], 949087/4494741995520], [[[1, 6], [2, 9], [4, 1], [6, 1], [9, 1]], 12378503/86684309913600], [[[1, 6], [2, 9], [4, 1], [6, 1], [14, 1]], 460843/936404582400], [[[1, 6], [2, 9], [4, 1], [6, 1], [18, 1]], 255196871/1155790798848000], [[[1, 6], [2, 9], [4, 1], [6, 2], [8, 1]], 1328489/1834588569600], [[[1, 6], [2, 9], [4, 1], [6, 2], [10, 1]], 819533/963158999040], [[[1, 6], [2, 9], [4, 1], [6, 2], [12, 1]], 589845859/2641807540224000], [[[1, 6], [2, 9], [4, 1], [8, 1], [10, 1]], 3532859/3567255552000], [[[1, 6], [2, 9], [4, 1], [8, 1], [12, 1]], 24679/428070666240], [[[1, 6], [2, 9], [4, 1], [10, 1], [12, 1]], 737/12740198400], [[[1, 6], [2, 9], [4, 2], [5, 1], [6, 1]], 15863993/32105299968000], [[[1, 6], [2, 9], [4, 2], [6, 1], [8, 1]], 1859888099/1232843518771200], [[[1, 6], [2, 9], [4, 2], [6, 1], [10, 1]], 262131269/220150628352000], [[[1, 6], [2, 9], [4, 2], [6, 1], [12, 1]], 67400381/176120502681600], [[[1, 6], [2, 9], [5, 1], [6, 1], [8, 1]], 1491629/8918138880000], [[[1, 6], [2, 9], [5, 1], [6, 1], [10, 1]], 51296363/100329062400000], [[[1, 6], [2, 9], [5, 1], [6, 1], [12, 1]], 1574471/80263249920000], [[[1, 6], [2, 9], [6, 1], [8, 1], [10, 1]], 25733/59454259200], [[[1, 6], [2, 9], [6, 1], [8, 1], [12, 1]], 4343/142690222080], [[[1, 6], [2, 9], [6, 1], [10, 1], [12, 1]], 8623/191102976000], [[[1, 6], [2, 11], [3, 1], [4, 1], [5, 1]], 16720819/3852635996160000], [[[1, 6], [2, 11], [3, 1], [4, 1], [6, 2]], 1703196683/18492652781568000], [[[1, 6], [2, 11], [3, 1], [4, 1], [8, 1]], 651347371/55477958344704000], [[[1, 6], [2, 11], [3, 1], [4, 1], [10, 1]], 12955603/481579499520000], [[[1, 6], [2, 11], [3, 1], [4, 1], [12, 1]], 5021467/3082108796928000], [[[1, 6], [2, 11], [3, 1], [4, 2], [6, 1]], 40483858903/499301625102336000], [[[1, 6], [2, 11], [3, 1], [5, 1], [6, 1]], 221017/32105299968000], [[[1, 6], [2, 11], [3, 1], [6, 1], [8, 1]], 35750639/2311581597696000], [[[1, 6], [2, 11], [3, 1], [6, 1], [10, 1]], 938702669/26005292974080000], [[[1, 6], [2, 11], [3, 1], [6, 1], [12, 1]], 4096093/2496508125511680], [[[1, 6], [2, 11], [3, 2], [4, 1], [6, 1]], 30624161/990677827584000], [[[1, 6], [2, 11], [4, 1], [5, 1], [6, 1]], 32106119/1926317998080000], [[[1, 6], [2, 11], [4, 1], [6, 1], [8, 1]], 11357051/293534171136000], [[[1, 6], [2, 11], [4, 1], [6, 1], [10, 1]], 16448003/240789749760000], [[[1, 6], [2, 11], [4, 1], [6, 1], [12, 1]], 2869337/577895399424000], [[[1, 6], [2, 13], [3, 1], [4, 1], [6, 1]], 124538101/110955916689408000], [[[1, 7], [2, 2], [3, 1], [4, 1], [5, 3]], 1607/746496000], [[[1, 7], [2, 2], [3, 1], [4, 1], [6, 6]], 223/515978035200], [[[1, 7], [2, 2], [3, 1], [4, 1], [7, 2]], 5/602112], [[[1, 7], [2, 2], [3, 1], [4, 1], [8, 3]], 7/20971520], [[[1, 7], [2, 2], [3, 1], [4, 1], [9, 2]], 17/14929920], [[[1, 7], [2, 2], [3, 1], [4, 1], [10, 3]], 37/14929920000], [[[1, 7], [2, 2], [3, 1], [4, 1], [12, 3]], 251/6449725440], [[[1, 7], [2, 2], [3, 1], [4, 1], [28, 1]], 37/34836480], [[[1, 7], [2, 2], [3, 1], [4, 1], [36, 1]], 37/44789760], [[[1, 7], [2, 2], [3, 1], [4, 2], [6, 5]], 28001/111451255603200], [[[1, 7], [2, 2], [3, 1], [4, 3], [5, 2]], 270209/573308928000], [[[1, 7], [2, 2], [3, 1], [4, 3], [6, 4]], 111233/148601674137600], [[[1, 7], [2, 2], [3, 1], [4, 3], [8, 2]], 83167/36691771392], [[[1, 7], [2, 2], [3, 1], [4, 3], [10, 2]], 3233/573308928000], [[[1, 7], [2, 2], [3, 1], [4, 3], [12, 2]], 17389/55037657088], [[[1, 7], [2, 2], [3, 1], [4, 3], [15, 1]], 3233/28665446400], [[[1, 7], [2, 2], [3, 1], [4, 3], [16, 1]], 37/477757440], [[[1, 7], [2, 2], [3, 1], [4, 3], [20, 1]], 7969/19110297600], [[[1, 7], [2, 2], [3, 1], [4, 3], [24, 1]], 3233/22932357120], [[[1, 7], [2, 2], [3, 1], [4, 3], [30, 1]], 3233/28665446400], [[[1, 7], [2, 2], [3, 1], [4, 4], [6, 3]], 358267/222902511206400], [[[1, 7], [2, 2], [3, 1], [4, 4], [7, 1]], 49999/114661785600], [[[1, 7], [2, 2], [3, 1], [4, 4], [9, 1]], 7622659/57789539942400], [[[1, 7], [2, 2], [3, 1], [4, 4], [14, 1]], 9469/401316249600], [[[1, 7], [2, 2], [3, 1], [4, 4], [18, 1]], 1691/96745881600], [[[1, 7], [2, 2], [3, 1], [4, 5], [5, 1]], 9979/286654464000], [[[1, 7], [2, 2], [3, 1], [4, 5], [6, 2]], 41/50960793600], [[[1, 7], [2, 2], [3, 1], [4, 5], [8, 1]], 21233/146767085568], [[[1, 7], [2, 2], [3, 1], [4, 5], [10, 1]], 17587/1146617856000], [[[1, 7], [2, 2], [3, 1], [4, 5], [12, 1]], 27533/343985356800], [[[1, 7], [2, 2], [3, 1], [4, 6], [6, 1]], 154451/33022594252800], [[[1, 7], [2, 2], [3, 1], [5, 1], [6, 5]], 127/42998169600], [[[1, 7], [2, 2], [3, 1], [5, 2], [6, 3]], 96421/2902376448000], [[[1, 7], [2, 2], [3, 1], [5, 2], [7, 1]], 124759/10450944000], [[[1, 7], [2, 2], [3, 1], [5, 2], [9, 1]], 3854377/752467968000], [[[1, 7], [2, 2], [3, 1], [5, 2], [14, 1]], 16867/5225472000], [[[1, 7], [2, 2], [3, 1], [5, 2], [18, 1]], 6001/2519424000], [[[1, 7], [2, 2], [3, 1], [5, 3], [6, 1]], 37/497664000], [[[1, 7], [2, 2], [3, 1], [6, 1], [7, 2]], 1/64512], [[[1, 7], [2, 2], [3, 1], [6, 1], [8, 3]], 307/5733089280], [[[1, 7], [2, 2], [3, 1], [6, 1], [9, 2]], 133/80621568], [[[1, 7], [2, 2], [3, 1], [6, 1], [10, 3]], 19/11197440000], [[[1, 7], [2, 2], [3, 1], [6, 1], [12, 3]], 157/25798901760], [[[1, 7], [2, 2], [3, 1], [6, 1], [18, 2]], 7/226748160], [[[1, 7], [2, 2], [3, 1], [6, 3], [8, 2]], 29677/928760463360], [[[1, 7], [2, 2], [3, 1], [6, 3], [10, 2]], 517/2902376448000], [[[1, 7], [2, 2], [3, 1], [6, 3], [12, 2]], 1799/278628139008], [[[1, 7], [2, 2], [3, 1], [6, 3], [15, 1]], 517/145118822400], [[[1, 7], [2, 2], [3, 1], [6, 3], [20, 1]], 517/96745881600], [[[1, 7], [2, 2], [3, 1], [6, 3], [24, 1]], 517/116095057920], [[[1, 7], [2, 2], [3, 1], [6, 3], [30, 1]], 517/145118822400], [[[1, 7], [2, 2], [3, 1], [6, 4], [7, 1]], 324343/2708884684800], [[[1, 7], [2, 2], [3, 1], [6, 4], [9, 1]], 6055849/195039697305600], [[[1, 7], [2, 2], [3, 1], [6, 4], [14, 1]], 19/1354442342400], [[[1, 7], [2, 2], [3, 1], [6, 4], [18, 1]], 2599/1306069401600], [[[1, 7], [2, 2], [3, 1], [6, 5], [8, 1]], 3007/4643802316800], [[[1, 7], [2, 2], [3, 1], [6, 5], [10, 1]], 19/2902376448000], [[[1, 7], [2, 2], [3, 1], [6, 5], [12, 1]], 5327/13931406950400], [[[1, 7], [2, 2], [3, 1], [7, 1], [8, 2]], 3583/3344302080], [[[1, 7], [2, 2], [3, 1], [7, 1], [10, 2]], 49/1492992000], [[[1, 7], [2, 2], [3, 1], [7, 1], [12, 2]], 49/716636160], [[[1, 7], [2, 2], [3, 1], [7, 1], [15, 1]], 49/74649600], [[[1, 7], [2, 2], [3, 1], [7, 1], [20, 1]], 49/49766400], [[[1, 7], [2, 2], [3, 1], [7, 1], [24, 1]], 49/59719680], [[[1, 7], [2, 2], [3, 1], [7, 1], [30, 1]], 49/74649600], [[[1, 7], [2, 2], [3, 1], [8, 2], [9, 1]], 75889/240789749760], [[[1, 7], [2, 2], [3, 1], [8, 2], [14, 1]], 19/1672151040], [[[1, 7], [2, 2], [3, 1], [8, 2], [18, 1]], 7/806215680], [[[1, 7], [2, 2], [3, 1], [9, 1], [10, 2]], 7849/752467968000], [[[1, 7], [2, 2], [3, 1], [9, 1], [12, 2]], 7849/361184624640], [[[1, 7], [2, 2], [3, 1], [9, 1], [15, 1]], 7849/37623398400], [[[1, 7], [2, 2], [3, 1], [9, 1], [20, 1]], 7849/25082265600], [[[1, 7], [2, 2], [3, 1], [9, 1], [24, 1]], 7849/30098718720], [[[1, 7], [2, 2], [3, 1], [9, 1], [30, 1]], 7849/37623398400], [[[1, 7], [2, 2], [3, 1], [10, 2], [14, 1]], 19/5225472000], [[[1, 7], [2, 2], [3, 1], [10, 2], [18, 1]], 7/2519424000], [[[1, 7], [2, 2], [3, 1], [12, 2], [14, 1]], 19/2508226560], [[[1, 7], [2, 2], [3, 1], [12, 2], [18, 1]], 7/1209323520], [[[1, 7], [2, 2], [3, 1], [14, 1], [15, 1]], 19/261273600], [[[1, 7], [2, 2], [3, 1], [14, 1], [20, 1]], 19/174182400], [[[1, 7], [2, 2], [3, 1], [14, 1], [24, 1]], 19/209018880], [[[1, 7], [2, 2], [3, 1], [14, 1], [30, 1]], 19/261273600], [[[1, 7], [2, 2], [3, 1], [15, 1], [18, 1]], 7/125971200], [[[1, 7], [2, 2], [3, 1], [18, 1], [20, 1]], 7/83980800], [[[1, 7], [2, 2], [3, 1], [18, 1], [24, 1]], 7/100776960], [[[1, 7], [2, 2], [3, 1], [18, 1], [30, 1]], 7/125971200], [[[1, 7], [2, 2], [3, 2], [4, 1], [6, 5]], 989563/111451255603200], [[[1, 7], [2, 2], [3, 2], [4, 2], [5, 2]], 224923/95551488000], [[[1, 7], [2, 2], [3, 2], [4, 2], [6, 4]], 621751/24766945689600], [[[1, 7], [2, 2], [3, 2], [4, 2], [8, 2]], 88411/30576476160], [[[1, 7], [2, 2], [3, 2], [4, 2], [10, 2]], 7411/95551488000], [[[1, 7], [2, 2], [3, 2], [4, 2], [12, 2]], 1475639/963158999040], [[[1, 7], [2, 2], [3, 2], [4, 2], [15, 1]], 1651/4777574400], [[[1, 7], [2, 2], [3, 2], [4, 2], [16, 1]], 1/663552], [[[1, 7], [2, 2], [3, 2], [4, 2], [20, 1]], 5491/3185049600], [[[1, 7], [2, 2], [3, 2], [4, 2], [24, 1]], 1651/3822059520], [[[1, 7], [2, 2], [3, 2], [4, 2], [30, 1]], 1651/4777574400], [[[1, 7], [2, 2], [3, 2], [4, 3], [6, 3]], 10571/330225942528], [[[1, 7], [2, 2], [3, 2], [4, 3], [7, 1]], 5/6967296], [[[1, 7], [2, 2], [3, 2], [4, 3], [9, 1]], 17393/51597803520], [[[1, 7], [2, 2], [3, 2], [4, 3], [14, 1]], 19/111476736], [[[1, 7], [2, 2], [3, 2], [4, 3], [18, 1]], 19/143327232], [[[1, 7], [2, 2], [3, 2], [4, 4], [5, 1]], 582793/1719926784000], [[[1, 7], [2, 2], [3, 2], [4, 4], [6, 2]], 165177931/1849265278156800], [[[1, 7], [2, 2], [3, 2], [4, 4], [8, 1]], 443591/687970713600], [[[1, 7], [2, 2], [3, 2], [4, 4], [10, 1]], 2461/19110297600], [[[1, 7], [2, 2], [3, 2], [4, 4], [12, 1]], 160662091/308210879692800], [[[1, 7], [2, 2], [3, 2], [4, 5], [6, 1]], 863203/33022594252800], [[[1, 7], [2, 2], [3, 2], [5, 1], [6, 4]], 495043/5804752896000], [[[1, 7], [2, 2], [3, 2], [5, 1], [8, 2]], 4831/7166361600], [[[1, 7], [2, 2], [3, 2], [5, 1], [10, 2]], 943/22394880000], [[[1, 7], [2, 2], [3, 2], [5, 1], [12, 2]], 11743/10749542400], [[[1, 7], [2, 2], [3, 2], [5, 1], [15, 1]], 943/1119744000], [[[1, 7], [2, 2], [3, 2], [5, 1], [20, 1]], 943/746496000], [[[1, 7], [2, 2], [3, 2], [5, 1], [24, 1]], 943/895795200], [[[1, 7], [2, 2], [3, 2], [5, 1], [30, 1]], 943/1119744000], [[[1, 7], [2, 2], [3, 2], [5, 2], [6, 2]], 20645473/24078974976000], [[[1, 7], [2, 2], [3, 2], [5, 2], [8, 1]], 3781/1119744000], [[[1, 7], [2, 2], [3, 2], [5, 2], [10, 1]], 217/248832000], [[[1, 7], [2, 2], [3, 2], [5, 2], [12, 1]], 14328673/4013162496000], [[[1, 7], [2, 2], [3, 2], [6, 2], [8, 2]], 1113961/7705271992320], [[[1, 7], [2, 2], [3, 2], [6, 2], [10, 2]], 1187041/24078974976000], [[[1, 7], [2, 2], [3, 2], [6, 2], [12, 2]], 7512247/11557907988480], [[[1, 7], [2, 2], [3, 2], [6, 2], [15, 1]], 541921/1203948748800], [[[1, 7], [2, 2], [3, 2], [6, 2], [20, 1]], 541921/802632499200], [[[1, 7], [2, 2], [3, 2], [6, 2], [24, 1]], 546601/963158999040], [[[1, 7], [2, 2], [3, 2], [6, 2], [30, 1]], 541921/1203948748800], [[[1, 7], [2, 2], [3, 2], [6, 3], [7, 1]], 23755/18059231232], [[[1, 7], [2, 2], [3, 2], [6, 3], [9, 1]], 437593/1044855521280], [[[1, 7], [2, 2], [3, 2], [6, 3], [14, 1]], 55/376233984], [[[1, 7], [2, 2], [3, 2], [6, 3], [18, 1]], 788321/2167107747840], [[[1, 7], [2, 2], [3, 2], [6, 4], [8, 1]], 224441/2321901158400], [[[1, 7], [2, 2], [3, 2], [6, 4], [10, 1]], 173/2388787200], [[[1, 7], [2, 2], [3, 2], [6, 4], [12, 1]], 23100013/148601674137600], [[[1, 7], [2, 2], [3, 2], [7, 1], [9, 1]], 3103/940584960], [[[1, 7], [2, 2], [3, 2], [7, 1], [14, 1]], 23/4064256], [[[1, 7], [2, 2], [3, 2], [7, 1], [18, 1]], 25/15676416], [[[1, 7], [2, 2], [3, 2], [8, 1], [10, 2]], 29/2239488000], [[[1, 7], [2, 2], [3, 2], [8, 1], [12, 2]], 1871/4299816960], [[[1, 7], [2, 2], [3, 2], [8, 1], [15, 1]], 29/111974400], [[[1, 7], [2, 2], [3, 2], [8, 1], [16, 1]], 1/1327104], [[[1, 7], [2, 2], [3, 2], [8, 1], [20, 1]], 29/74649600], [[[1, 7], [2, 2], [3, 2], [8, 1], [24, 1]], 29/89579520], [[[1, 7], [2, 2], [3, 2], [8, 1], [30, 1]], 29/111974400], [[[1, 7], [2, 2], [3, 2], [8, 2], [10, 1]], 1/79626240], [[[1, 7], [2, 2], [3, 2], [8, 2], [12, 1]], 280681/1284211998720], [[[1, 7], [2, 2], [3, 2], [9, 1], [14, 1]], 349/470292480], [[[1, 7], [2, 2], [3, 2], [9, 1], [18, 1]], 1303/906992640], [[[1, 7], [2, 2], [3, 2], [10, 1], [12, 2]], 19/119439360], [[[1, 7], [2, 2], [3, 2], [10, 1], [15, 1]], 1/12441600], [[[1, 7], [2, 2], [3, 2], [10, 1], [20, 1]], 1/8294400], [[[1, 7], [2, 2], [3, 2], [10, 1], [24, 1]], 1/9953280], [[[1, 7], [2, 2], [3, 2], [10, 1], [30, 1]], 1/12441600], [[[1, 7], [2, 2], [3, 2], [10, 2], [12, 1]], 31201/4013162496000], [[[1, 7], [2, 2], [3, 2], [12, 1], [15, 1]], 31201/200658124800], [[[1, 7], [2, 2], [3, 2], [12, 1], [20, 1]], 31201/133772083200], [[[1, 7], [2, 2], [3, 2], [12, 1], [24, 1]], 31201/160526499840], [[[1, 7], [2, 2], [3, 2], [12, 1], [30, 1]], 31201/200658124800], [[[1, 7], [2, 2], [3, 2], [14, 1], [18, 1]], 1/5225472], [[[1, 7], [2, 2], [3, 3], [4, 1], [5, 2]], 14843/5971968000], [[[1, 7], [2, 2], [3, 3], [4, 1], [6, 4]], 372203/4643802316800], [[[1, 7], [2, 2], [3, 3], [4, 1], [8, 2]], 43/70778880], [[[1, 7], [2, 2], [3, 3], [4, 1], [10, 2]], 91/5971968000], [[[1, 7], [2, 2], [3, 3], [4, 1], [12, 2]], 10169/8599633920], [[[1, 7], [2, 2], [3, 3], [4, 1], [15, 1]], 91/298598400], [[[1, 7], [2, 2], [3, 3], [4, 1], [20, 1]], 91/199065600], [[[1, 7], [2, 2], [3, 3], [4, 1], [24, 1]], 91/238878720], [[[1, 7], [2, 2], [3, 3], [4, 1], [30, 1]], 91/298598400], [[[1, 7], [2, 2], [3, 3], [4, 2], [6, 3]], 1266593/11145125560320], [[[1, 7], [2, 2], [3, 3], [4, 2], [7, 1]], 2341/8026324992], [[[1, 7], [2, 2], [3, 3], [4, 2], [9, 1]], 1789/5733089280], [[[1, 7], [2, 2], [3, 3], [4, 2], [14, 1]], 785/8026324992], [[[1, 7], [2, 2], [3, 3], [4, 2], [18, 1]], 2161/30958682112], [[[1, 7], [2, 2], [3, 3], [4, 3], [5, 1]], 2837/7166361600], [[[1, 7], [2, 2], [3, 3], [4, 3], [6, 2]], 208913/1651129712640], [[[1, 7], [2, 2], [3, 3], [4, 3], [8, 1]], 6143/18345885696], [[[1, 7], [2, 2], [3, 3], [4, 3], [10, 1]], 43/716636160], [[[1, 7], [2, 2], [3, 3], [4, 3], [12, 1]], 4531/10192158720], [[[1, 7], [2, 2], [3, 3], [4, 4], [6, 1]], 905129/8255648563200], [[[1, 7], [2, 2], [3, 3], [5, 1], [6, 3]], 400561/580475289600], [[[1, 7], [2, 2], [3, 3], [5, 1], [7, 1]], 13/3628800], [[[1, 7], [2, 2], [3, 3], [5, 1], [9, 1]], 3803/2015539200], [[[1, 7], [2, 2], [3, 3], [5, 1], [14, 1]], 37/34836480], [[[1, 7], [2, 2], [3, 3], [5, 1], [18, 1]], 1543/2015539200], [[[1, 7], [2, 2], [3, 3], [5, 2], [6, 1]], 132509/35831808000], [[[1, 7], [2, 2], [3, 3], [6, 1], [8, 2]], 1271/3822059520], [[[1, 7], [2, 2], [3, 3], [6, 1], [10, 2]], 893/35831808000], [[[1, 7], [2, 2], [3, 3], [6, 1], [12, 2]], 71153/51597803520], [[[1, 7], [2, 2], [3, 3], [6, 1], [15, 1]], 893/1791590400], [[[1, 7], [2, 2], [3, 3], [6, 1], [20, 1]], 893/1194393600], [[[1, 7], [2, 2], [3, 3], [6, 1], [24, 1]], 1853/1433272320], [[[1, 7], [2, 2], [3, 3], [6, 1], [30, 1]], 893/1791590400], [[[1, 7], [2, 2], [3, 3], [6, 2], [7, 1]], 24583/30098718720], [[[1, 7], [2, 2], [3, 3], [6, 2], [9, 1]], 218357/433421549568], [[[1, 7], [2, 2], [3, 3], [6, 2], [14, 1]], 1339/15049359360], [[[1, 7], [2, 2], [3, 3], [6, 2], [18, 1]], 1985/5804752896], [[[1, 7], [2, 2], [3, 3], [6, 3], [8, 1]], 22141/154793410560], [[[1, 7], [2, 2], [3, 3], [6, 3], [10, 1]], 1339/32248627200], [[[1, 7], [2, 2], [3, 3], [6, 3], [12, 1]], 576343/1393140695040], [[[1, 7], [2, 2], [3, 3], [7, 1], [8, 1]], 29/23887872], [[[1, 7], [2, 2], [3, 3], [7, 1], [10, 1]], 1/34836480], [[[1, 7], [2, 2], [3, 3], [7, 1], [12, 1]], 11383/5016453120], [[[1, 7], [2, 2], [3, 3], [8, 1], [9, 1]], 1729/3224862720], [[[1, 7], [2, 2], [3, 3], [8, 1], [14, 1]], 25/167215104], [[[1, 7], [2, 2], [3, 3], [8, 1], [18, 1]], 25/214990848], [[[1, 7], [2, 2], [3, 3], [9, 1], [10, 1]], 7/134369280], [[[1, 7], [2, 2], [3, 3], [9, 1], [12, 1]], 2479/2675441664], [[[1, 7], [2, 2], [3, 3], [12, 1], [14, 1]], 1339/2508226560], [[[1, 7], [2, 2], [3, 3], [12, 1], [18, 1]], 59/151165440], [[[1, 7], [2, 2], [3, 4], [4, 1], [6, 3]], 845611/12383472844800], [[[1, 7], [2, 2], [3, 4], [4, 1], [7, 1]], 5611/66886041600], [[[1, 7], [2, 2], [3, 4], [4, 1], [9, 1]], 4241/21499084800], [[[1, 7], [2, 2], [3, 4], [4, 1], [14, 1]], 1601/133772083200], [[[1, 7], [2, 2], [3, 4], [4, 1], [18, 1]], 1601/171992678400], [[[1, 7], [2, 2], [3, 4], [4, 2], [5, 1]], 13753/91729428480], [[[1, 7], [2, 2], [3, 4], [4, 2], [6, 2]], 131281/330225942528], [[[1, 7], [2, 2], [3, 4], [4, 2], [8, 1]], 347951/3669177139200], [[[1, 7], [2, 2], [3, 4], [4, 2], [10, 1]], 22417/2293235712000], [[[1, 7], [2, 2], [3, 4], [4, 2], [12, 1]], 45591163/260052929740800], [[[1, 7], [2, 2], [3, 4], [4, 3], [6, 1]], 57713/1100753141760], [[[1, 7], [2, 2], [3, 4], [5, 1], [6, 2]], 16091/40310784000], [[[1, 7], [2, 2], [3, 4], [5, 1], [8, 1]], 3091/5308416000], [[[1, 7], [2, 2], [3, 4], [5, 1], [10, 1]], 401/29859840000], [[[1, 7], [2, 2], [3, 4], [5, 1], [12, 1]], 12383/10749542400], [[[1, 7], [2, 2], [3, 4], [6, 1], [7, 1]], 20641/60197437440], [[[1, 7], [2, 2], [3, 4], [6, 1], [9, 1]], 89737/232190115840], [[[1, 7], [2, 2], [3, 4], [6, 1], [14, 1]], 5/125411328], [[[1, 7], [2, 2], [3, 4], [6, 1], [18, 1]], 609193/7801587892224], [[[1, 7], [2, 2], [3, 4], [6, 2], [8, 1]], 1981/25798901760], [[[1, 7], [2, 2], [3, 4], [6, 2], [10, 1]], 1/47775744], [[[1, 7], [2, 2], [3, 4], [6, 2], [12, 1]], 8002793/29720334827520], [[[1, 7], [2, 2], [3, 4], [8, 1], [12, 1]], 1381/4299816960], [[[1, 7], [2, 2], [3, 4], [10, 1], [12, 1]], 1/71663616], [[[1, 7], [2, 2], [3, 5], [4, 1], [5, 1]], 44059/967458816000], [[[1, 7], [2, 2], [3, 5], [4, 1], [6, 2]], 1417/57330892800], [[[1, 7], [2, 2], [3, 5], [4, 1], [8, 1]], 416471/12383472844800], [[[1, 7], [2, 2], [3, 5], [4, 1], [10, 1]], 24037/3869835264000], [[[1, 7], [2, 2], [3, 5], [4, 1], [12, 1]], 36607/580475289600], [[[1, 7], [2, 2], [3, 5], [4, 2], [6, 1]], 2192801/111451255603200], [[[1, 7], [2, 2], [3, 5], [5, 1], [6, 1]], 7007/42998169600], [[[1, 7], [2, 2], [3, 5], [6, 1], [8, 1]], 135007/4643802316800], [[[1, 7], [2, 2], [3, 5], [6, 1], [10, 1]], 13219/2902376448000], [[[1, 7], [2, 2], [3, 5], [6, 1], [12, 1]], 1942687/13931406950400], [[[1, 7], [2, 2], [3, 6], [4, 1], [6, 1]], 180251/37150418534400], [[[1, 7], [2, 2], [4, 1], [5, 1], [6, 5]], 17/214990848000], [[[1, 7], [2, 2], [4, 1], [5, 2], [6, 3]], 193/47775744000], [[[1, 7], [2, 2], [4, 1], [5, 2], [7, 1]], 1163/258048000], [[[1, 7], [2, 2], [4, 1], [5, 2], [9, 1]], 113/82944000], [[[1, 7], [2, 2], [4, 1], [5, 2], [14, 1]], 193/516096000], [[[1, 7], [2, 2], [4, 1], [5, 2], [18, 1]], 193/663552000], [[[1, 7], [2, 2], [4, 1], [5, 3], [6, 1]], 17/829440000], [[[1, 7], [2, 2], [4, 1], [6, 1], [7, 2]], 1/200704], [[[1, 7], [2, 2], [4, 1], [6, 1], [8, 3]], 391/1698693120], [[[1, 7], [2, 2], [4, 1], [6, 1], [9, 2]], 13/26873856], [[[1, 7], [2, 2], [4, 1], [6, 1], [10, 3]], 1/1105920000], [[[1, 7], [2, 2], [4, 1], [6, 1], [12, 3]], 1/424673280], [[[1, 7], [2, 2], [4, 1], [6, 1], [18, 2]], 1/59719680], [[[1, 7], [2, 2], [4, 1], [6, 3], [8, 2]], 61/15288238080], [[[1, 7], [2, 2], [4, 1], [6, 3], [10, 2]], 1/47775744000], [[[1, 7], [2, 2], [4, 1], [6, 3], [12, 2]], 11/4586471424], [[[1, 7], [2, 2], [4, 1], [6, 3], [15, 1]], 1/2388787200], [[[1, 7], [2, 2], [4, 1], [6, 3], [20, 1]], 1/1592524800], [[[1, 7], [2, 2], [4, 1], [6, 3], [24, 1]], 1/1911029760], [[[1, 7], [2, 2], [4, 1], [6, 3], [30, 1]], 1/2388787200], [[[1, 7], [2, 2], [4, 1], [6, 4], [7, 1]], 811/66886041600], [[[1, 7], [2, 2], [4, 1], [6, 4], [9, 1]], 203/64497254400], [[[1, 7], [2, 2], [4, 1], [6, 4], [14, 1]], 1/133772083200], [[[1, 7], [2, 2], [4, 1], [6, 4], [18, 1]], 41/171992678400], [[[1, 7], [2, 2], [4, 1], [6, 5], [8, 1]], 31/1375941427200], [[[1, 7], [2, 2], [4, 1], [6, 5], [10, 1]], 1/286654464000], [[[1, 7], [2, 2], [4, 1], [6, 5], [12, 1]], 11/229323571200], [[[1, 7], [2, 2], [4, 1], [7, 1], [8, 2]], 551/82575360], [[[1, 7], [2, 2], [4, 1], [7, 1], [10, 2]], 11/258048000], [[[1, 7], [2, 2], [4, 1], [7, 1], [12, 2]], 11/123863040], [[[1, 7], [2, 2], [4, 1], [7, 1], [15, 1]], 11/12902400], [[[1, 7], [2, 2], [4, 1], [7, 1], [20, 1]], 11/8601600], [[[1, 7], [2, 2], [4, 1], [7, 1], [24, 1]], 11/10321920], [[[1, 7], [2, 2], [4, 1], [7, 1], [30, 1]], 11/12902400], [[[1, 7], [2, 2], [4, 1], [8, 2], [9, 1]], 17/8847360], [[[1, 7], [2, 2], [4, 1], [8, 2], [14, 1]], 61/165150720], [[[1, 7], [2, 2], [4, 1], [8, 2], [18, 1]], 61/212336640], [[[1, 7], [2, 2], [4, 1], [9, 1], [10, 2]], 1/82944000], [[[1, 7], [2, 2], [4, 1], [9, 1], [12, 2]], 1/39813120], [[[1, 7], [2, 2], [4, 1], [9, 1], [15, 1]], 1/4147200], [[[1, 7], [2, 2], [4, 1], [9, 1], [20, 1]], 1/2764800], [[[1, 7], [2, 2], [4, 1], [9, 1], [24, 1]], 1/3317760], [[[1, 7], [2, 2], [4, 1], [9, 1], [30, 1]], 1/4147200], [[[1, 7], [2, 2], [4, 1], [10, 2], [14, 1]], 1/516096000], [[[1, 7], [2, 2], [4, 1], [10, 2], [18, 1]], 1/663552000], [[[1, 7], [2, 2], [4, 1], [12, 2], [14, 1]], 1/247726080], [[[1, 7], [2, 2], [4, 1], [12, 2], [18, 1]], 1/318504960], [[[1, 7], [2, 2], [4, 1], [14, 1], [15, 1]], 1/25804800], [[[1, 7], [2, 2], [4, 1], [14, 1], [20, 1]], 1/17203200], [[[1, 7], [2, 2], [4, 1], [14, 1], [24, 1]], 1/20643840], [[[1, 7], [2, 2], [4, 1], [14, 1], [30, 1]], 1/25804800], [[[1, 7], [2, 2], [4, 1], [15, 1], [18, 1]], 1/33177600], [[[1, 7], [2, 2], [4, 1], [18, 1], [20, 1]], 1/22118400], [[[1, 7], [2, 2], [4, 1], [18, 1], [24, 1]], 1/26542080], [[[1, 7], [2, 2], [4, 1], [18, 1], [30, 1]], 1/33177600], [[[1, 7], [2, 2], [4, 2], [5, 1], [6, 4]], 71/1375941427200], [[[1, 7], [2, 2], [4, 2], [5, 1], [8, 2]], 55543/8493465600], [[[1, 7], [2, 2], [4, 2], [5, 1], [10, 2]], 3811/26542080000], [[[1, 7], [2, 2], [4, 2], [5, 1], [12, 2]], 14179/12740198400], [[[1, 7], [2, 2], [4, 2], [5, 1], [15, 1]], 71/265420800], [[[1, 7], [2, 2], [4, 2], [5, 1], [16, 1]], 1/307200], [[[1, 7], [2, 2], [4, 2], [5, 1], [20, 1]], 2659/884736000], [[[1, 7], [2, 2], [4, 2], [5, 1], [24, 1]], 71/212336640], [[[1, 7], [2, 2], [4, 2], [5, 1], [30, 1]], 71/265420800], [[[1, 7], [2, 2], [4, 2], [5, 2], [6, 2]], 1/707788800], [[[1, 7], [2, 2], [4, 2], [5, 2], [8, 1]], 73229/42467328000], [[[1, 7], [2, 2], [4, 2], [5, 2], [10, 1]], 25361/8847360000], [[[1, 7], [2, 2], [4, 2], [5, 2], [12, 1]], 800669/1003290624000], [[[1, 7], [2, 2], [4, 2], [6, 2], [8, 2]], 139/679477248], [[[1, 7], [2, 2], [4, 2], [6, 2], [10, 2]], 11/2123366400], [[[1, 7], [2, 2], [4, 2], [6, 2], [12, 2]], 13171/963158999040], [[[1, 7], [2, 2], [4, 2], [6, 2], [15, 1]], 1/35389440], [[[1, 7], [2, 2], [4, 2], [6, 2], [20, 1]], 1/23592960], [[[1, 7], [2, 2], [4, 2], [6, 2], [24, 1]], 1/28311552], [[[1, 7], [2, 2], [4, 2], [6, 2], [30, 1]], 1/35389440], [[[1, 7], [2, 2], [4, 2], [6, 3], [7, 1]], 43/8026324992], [[[1, 7], [2, 2], [4, 2], [6, 3], [9, 1]], 49/30958682112], [[[1, 7], [2, 2], [4, 2], [6, 3], [14, 1]], 1/2675441664], [[[1, 7], [2, 2], [4, 2], [6, 3], [18, 1]], 55/3439853568], [[[1, 7], [2, 2], [4, 2], [6, 4], [8, 1]], 31853/11007531417600], [[[1, 7], [2, 2], [4, 2], [6, 4], [10, 1]], 139/764411904000], [[[1, 7], [2, 2], [4, 2], [6, 4], [12, 1]], 824483/260052929740800], [[[1, 7], [2, 2], [4, 2], [7, 1], [9, 1]], 229/111476736], [[[1, 7], [2, 2], [4, 2], [7, 1], [14, 1]], 229/144506880], [[[1, 7], [2, 2], [4, 2], [7, 1], [18, 1]], 43/111476736], [[[1, 7], [2, 2], [4, 2], [8, 1], [10, 2]], 653/42467328000], [[[1, 7], [2, 2], [4, 2], [8, 1], [12, 2]], 653/20384317440], [[[1, 7], [2, 2], [4, 2], [8, 1], [15, 1]], 653/2123366400], [[[1, 7], [2, 2], [4, 2], [8, 1], [16, 1]], 1651/1189085184], [[[1, 7], [2, 2], [4, 2], [8, 1], [20, 1]], 1229/1415577600], [[[1, 7], [2, 2], [4, 2], [8, 1], [24, 1]], 361/339738624], [[[1, 7], [2, 2], [4, 2], [8, 1], [30, 1]], 653/2123366400], [[[1, 7], [2, 2], [4, 2], [8, 2], [10, 1]], 1277/2831155200], [[[1, 7], [2, 2], [4, 2], [8, 2], [12, 1]], 146753/321052999680], [[[1, 7], [2, 2], [4, 2], [9, 1], [14, 1]], 17/111476736], [[[1, 7], [2, 2], [4, 2], [9, 1], [18, 1]], 1487/2149908480], [[[1, 7], [2, 2], [4, 2], [10, 1], [12, 2]], 17/4246732800], [[[1, 7], [2, 2], [4, 2], [10, 1], [15, 1]], 17/442368000], [[[1, 7], [2, 2], [4, 2], [10, 1], [20, 1]], 17/294912000], [[[1, 7], [2, 2], [4, 2], [10, 1], [24, 1]], 17/353894400], [[[1, 7], [2, 2], [4, 2], [10, 1], [30, 1]], 17/442368000], [[[1, 7], [2, 2], [4, 2], [10, 2], [12, 1]], 2333/1003290624000], [[[1, 7], [2, 2], [4, 2], [12, 1], [15, 1]], 2333/50164531200], [[[1, 7], [2, 2], [4, 2], [12, 1], [16, 1]], 1/2949120], [[[1, 7], [2, 2], [4, 2], [12, 1], [20, 1]], 2437/6688604160], [[[1, 7], [2, 2], [4, 2], [12, 1], [24, 1]], 2333/5733089280], [[[1, 7], [2, 2], [4, 2], [12, 1], [30, 1]], 2333/50164531200], [[[1, 7], [2, 2], [4, 2], [14, 1], [18, 1]], 1/37158912], [[[1, 7], [2, 2], [4, 3], [5, 1], [6, 3]], 1/2123366400], [[[1, 7], [2, 2], [4, 3], [5, 1], [7, 1]], 59/103219200], [[[1, 7], [2, 2], [4, 3], [5, 1], [9, 1]], 17/99532800], [[[1, 7], [2, 2], [4, 3], [5, 1], [14, 1]], 1/22937600], [[[1, 7], [2, 2], [4, 3], [5, 1], [18, 1]], 1/29491200], [[[1, 7], [2, 2], [4, 3], [5, 2], [6, 1]], 19/12740198400], [[[1, 7], [2, 2], [4, 3], [6, 1], [8, 2]], 3349/4076863488], [[[1, 7], [2, 2], [4, 3], [6, 1], [10, 2]], 163/12740198400], [[[1, 7], [2, 2], [4, 3], [6, 1], [12, 2]], 1103/30576476160], [[[1, 7], [2, 2], [4, 3], [6, 1], [15, 1]], 19/637009920], [[[1, 7], [2, 2], [4, 3], [6, 1], [20, 1]], 19/424673280], [[[1, 7], [2, 2], [4, 3], [6, 1], [24, 1]], 19/509607936], [[[1, 7], [2, 2], [4, 3], [6, 1], [30, 1]], 19/637009920], [[[1, 7], [2, 2], [4, 3], [6, 2], [18, 1]], 19/1146617856], [[[1, 7], [2, 2], [4, 3], [6, 3], [8, 1]], 35/18345885696], [[[1, 7], [2, 2], [4, 3], [6, 3], [10, 1]], 1/3822059520], [[[1, 7], [2, 2], [4, 3], [6, 3], [12, 1]], 341/91729428480], [[[1, 7], [2, 2], [4, 3], [7, 1], [8, 1]], 1/393216], [[[1, 7], [2, 2], [4, 3], [7, 1], [10, 1]], 1/2949120], [[[1, 7], [2, 2], [4, 3], [7, 1], [12, 1]], 19/20643840], [[[1, 7], [2, 2], [4, 3], [8, 1], [9, 1]], 191/254803968], [[[1, 7], [2, 2], [4, 3], [8, 1], [14, 1]], 1/5505024], [[[1, 7], [2, 2], [4, 3], [8, 1], [18, 1]], 35/254803968], [[[1, 7], [2, 2], [4, 3], [9, 1], [10, 1]], 1/9953280], [[[1, 7], [2, 2], [4, 3], [9, 1], [12, 1]], 1/3732480], [[[1, 7], [2, 2], [4, 3], [10, 1], [14, 1]], 1/41287680], [[[1, 7], [2, 2], [4, 3], [10, 1], [18, 1]], 1/53084160], [[[1, 7], [2, 2], [4, 3], [12, 1], [14, 1]], 1/17694720], [[[1, 7], [2, 2], [4, 3], [12, 1], [18, 1]], 7/159252480], [[[1, 7], [2, 2], [4, 4], [5, 1], [6, 2]], 1/31850496000], [[[1, 7], [2, 2], [4, 4], [5, 1], [8, 1]], 5123/10616832000], [[[1, 7], [2, 2], [4, 4], [5, 1], [10, 1]], 1771/8847360000], [[[1, 7], [2, 2], [4, 4], [5, 1], [12, 1]], 1093/3185049600], [[[1, 7], [2, 2], [4, 4], [6, 1], [7, 1]], 751/17836277760], [[[1, 7], [2, 2], [4, 4], [6, 1], [9, 1]], 751/68797071360], [[[1, 7], [2, 2], [4, 4], [6, 1], [18, 1]], 17315/2311581597696], [[[1, 7], [2, 2], [4, 4], [6, 2], [12, 1]], 162467/12328435187712], [[[1, 7], [2, 2], [4, 4], [8, 1], [10, 1]], 23/188743680], [[[1, 7], [2, 2], [4, 4], [8, 1], [12, 1]], 71/127401984], [[[1, 7], [2, 2], [4, 4], [10, 1], [12, 1]], 47/1061683200], [[[1, 7], [2, 2], [4, 5], [5, 1], [6, 1]], 17/63700992000], [[[1, 7], [2, 2], [4, 5], [6, 1], [8, 1]], 4081/407686348800], [[[1, 7], [2, 2], [4, 5], [6, 1], [10, 1]], 17/28311552000], [[[1, 7], [2, 2], [4, 5], [6, 1], [12, 1]], 8059/611529523200], [[[1, 7], [2, 2], [5, 1], [6, 2], [8, 2]], 13/132710400], [[[1, 7], [2, 2], [5, 1], [6, 2], [10, 2]], 1/16588800], [[[1, 7], [2, 2], [5, 1], [6, 2], [12, 2]], 19/199065600], [[[1, 7], [2, 2], [5, 1], [6, 2], [15, 1]], 1/20736000], [[[1, 7], [2, 2], [5, 1], [6, 2], [20, 1]], 1/13824000], [[[1, 7], [2, 2], [5, 1], [6, 2], [24, 1]], 1/16588800], [[[1, 7], [2, 2], [5, 1], [6, 2], [30, 1]], 1/20736000], [[[1, 7], [2, 2], [5, 1], [6, 3], [7, 1]], 37/522547200], [[[1, 7], [2, 2], [5, 1], [6, 3], [9, 1]], 43/2015539200], [[[1, 7], [2, 2], [5, 1], [6, 3], [14, 1]], 1/174182400], [[[1, 7], [2, 2], [5, 1], [6, 3], [18, 1]], 7/223948800], [[[1, 7], [2, 2], [5, 1], [6, 4], [8, 1]], 497/143327232000], [[[1, 7], [2, 2], [5, 1], [6, 4], [10, 1]], 1/368640000], [[[1, 7], [2, 2], [5, 1], [6, 4], [12, 1]], 1/119439360], [[[1, 7], [2, 2], [5, 1], [7, 1], [9, 1]], 1/100800], [[[1, 7], [2, 2], [5, 1], [7, 1], [14, 1]], 9/627200], [[[1, 7], [2, 2], [5, 1], [7, 1], [18, 1]], 37/7257600], [[[1, 7], [2, 2], [5, 1], [8, 1], [10, 2]], 17/552960000], [[[1, 7], [2, 2], [5, 1], [8, 1], [12, 2]], 17/265420800], [[[1, 7], [2, 2], [5, 1], [8, 1], [15, 1]], 17/27648000], [[[1, 7], [2, 2], [5, 1], [8, 1], [16, 1]], 1/614400], [[[1, 7], [2, 2], [5, 1], [8, 1], [20, 1]], 17/18432000], [[[1, 7], [2, 2], [5, 1], [8, 1], [24, 1]], 17/22118400], [[[1, 7], [2, 2], [5, 1], [8, 1], [30, 1]], 17/27648000], [[[1, 7], [2, 2], [5, 1], [8, 2], [10, 1]], 1/36864000], [[[1, 7], [2, 2], [5, 1], [9, 1], [14, 1]], 1/483840], [[[1, 7], [2, 2], [5, 1], [9, 1], [18, 1]], 97/27993600], [[[1, 7], [2, 2], [5, 1], [10, 1], [12, 2]], 1/55296000], [[[1, 7], [2, 2], [5, 1], [10, 1], [15, 1]], 1/5760000], [[[1, 7], [2, 2], [5, 1], [10, 1], [20, 1]], 1/3840000], [[[1, 7], [2, 2], [5, 1], [10, 1], [24, 1]], 1/4608000], [[[1, 7], [2, 2], [5, 1], [10, 1], [30, 1]], 1/5760000], [[[1, 7], [2, 2], [5, 1], [14, 1], [18, 1]], 1/2419200], [[[1, 7], [2, 2], [5, 2], [6, 1], [7, 1]], 1/232243200], [[[1, 7], [2, 2], [5, 2], [6, 1], [9, 1]], 1/895795200], [[[1, 7], [2, 2], [5, 2], [6, 1], [18, 1]], 72589/150493593600], [[[1, 7], [2, 2], [5, 2], [6, 2], [12, 1]], 72589/802632499200], [[[1, 7], [2, 2], [6, 1], [7, 1], [8, 2]], 73/74317824], [[[1, 7], [2, 2], [6, 1], [7, 1], [10, 2]], 1/232243200], [[[1, 7], [2, 2], [6, 1], [7, 1], [12, 2]], 1/111476736], [[[1, 7], [2, 2], [6, 1], [7, 1], [15, 1]], 1/11612160], [[[1, 7], [2, 2], [6, 1], [7, 1], [20, 1]], 1/7741440], [[[1, 7], [2, 2], [6, 1], [7, 1], [24, 1]], 1/9289728], [[[1, 7], [2, 2], [6, 1], [7, 1], [30, 1]], 1/11612160], [[[1, 7], [2, 2], [6, 1], [8, 2], [9, 1]], 73/286654464], [[[1, 7], [2, 2], [6, 1], [8, 2], [18, 1]], 1525/48157949952], [[[1, 7], [2, 2], [6, 1], [9, 1], [10, 2]], 1/895795200], [[[1, 7], [2, 2], [6, 1], [9, 1], [12, 2]], 1/429981696], [[[1, 7], [2, 2], [6, 1], [9, 1], [15, 1]], 1/44789760], [[[1, 7], [2, 2], [6, 1], [9, 1], [20, 1]], 1/29859840], [[[1, 7], [2, 2], [6, 1], [9, 1], [24, 1]], 1/35831808], [[[1, 7], [2, 2], [6, 1], [9, 1], [30, 1]], 1/44789760], [[[1, 7], [2, 2], [6, 1], [10, 2], [18, 1]], 13/150493593600], [[[1, 7], [2, 2], [6, 1], [12, 2], [18, 1]], 13/72236924928], [[[1, 7], [2, 2], [6, 1], [15, 1], [18, 1]], 13/7524679680], [[[1, 7], [2, 2], [6, 1], [18, 1], [20, 1]], 13/5016453120], [[[1, 7], [2, 2], [6, 1], [18, 1], [24, 1]], 13/6019743744], [[[1, 7], [2, 2], [6, 1], [18, 1], [30, 1]], 13/7524679680], [[[1, 7], [2, 2], [6, 2], [7, 1], [9, 1]], 1/1741824], [[[1, 7], [2, 2], [6, 2], [7, 1], [18, 1]], 1/20901888], [[[1, 7], [2, 2], [6, 2], [8, 2], [12, 1]], 1525/256842399744], [[[1, 7], [2, 2], [6, 2], [9, 1], [18, 1]], 1/80621568], [[[1, 7], [2, 2], [6, 2], [10, 2], [12, 1]], 13/802632499200], [[[1, 7], [2, 2], [6, 2], [12, 1], [15, 1]], 13/40131624960], [[[1, 7], [2, 2], [6, 2], [12, 1], [20, 1]], 13/26754416640], [[[1, 7], [2, 2], [6, 2], [12, 1], [24, 1]], 13/32105299968], [[[1, 7], [2, 2], [6, 2], [12, 1], [30, 1]], 13/40131624960], [[[1, 7], [2, 2], [6, 3], [7, 1], [8, 1]], 1/55738368], [[[1, 7], [2, 2], [6, 3], [7, 1], [12, 1]], 1/111476736], [[[1, 7], [2, 2], [6, 3], [8, 1], [9, 1]], 1/214990848], [[[1, 7], [2, 2], [6, 3], [9, 1], [12, 1]], 1/429981696], [[[1, 7], [2, 2], [6, 3], [12, 1], [18, 1]], 13/72236924928], [[[1, 7], [2, 2], [7, 1], [8, 1], [9, 1]], 11/2322432], [[[1, 7], [2, 2], [7, 1], [8, 1], [14, 1]], 1/602112], [[[1, 7], [2, 2], [7, 1], [8, 1], [18, 1]], 1/774144], [[[1, 7], [2, 2], [7, 1], [9, 1], [10, 1]], 1/483840], [[[1, 7], [2, 2], [8, 1], [9, 1], [14, 1]], 1/2322432], [[[1, 7], [2, 2], [8, 1], [9, 1], [18, 1]], 1/2985984], [[[1, 7], [2, 4], [3, 1], [4, 1], [6, 5]], 2601317/37150418534400], [[[1, 7], [2, 4], [3, 1], [4, 2], [5, 2]], 46631047/6879707136000], [[[1, 7], [2, 4], [3, 1], [4, 2], [6, 4]], 339726023/1783220089651200], [[[1, 7], [2, 4], [3, 1], [4, 2], [8, 2]], 29926903/2201506283520], [[[1, 7], [2, 4], [3, 1], [4, 2], [10, 2]], 7429639/6879707136000], [[[1, 7], [2, 4], [3, 1], [4, 2], [12, 2]], 9981751/3302259425280], [[[1, 7], [2, 4], [3, 1], [4, 2], [15, 1]], 306823/343985356800], [[[1, 7], [2, 4], [3, 1], [4, 2], [16, 1]], 1/138240], [[[1, 7], [2, 4], [3, 1], [4, 2], [20, 1]], 1011847/229323571200], [[[1, 7], [2, 4], [3, 1], [4, 2], [24, 1]], 306823/275188285440], [[[1, 7], [2, 4], [3, 1], [4, 2], [30, 1]], 306823/343985356800], [[[1, 7], [2, 4], [3, 1], [4, 3], [6, 3]], 1289719/3715041853440], [[[1, 7], [2, 4], [3, 1], [4, 3], [7, 1]], 3037/743178240], [[[1, 7], [2, 4], [3, 1], [4, 3], [9, 1]], 5597/3057647616], [[[1, 7], [2, 4], [3, 1], [4, 3], [14, 1]], 3539/2675441664], [[[1, 7], [2, 4], [3, 1], [4, 3], [18, 1]], 12463/12899450880], [[[1, 7], [2, 4], [3, 1], [4, 4], [5, 1]], 14337901/6115295232000], [[[1, 7], [2, 4], [3, 1], [4, 4], [6, 2]], 586251727/475525357240320], [[[1, 7], [2, 4], [3, 1], [4, 4], [8, 1]], 217008533/22015062835200], [[[1, 7], [2, 4], [3, 1], [4, 4], [10, 1]], 34104611/34398535680000], [[[1, 7], [2, 4], [3, 1], [4, 4], [12, 1]], 642885337/132090377011200], [[[1, 7], [2, 4], [3, 1], [4, 5], [6, 1]], 2669129/3669177139200], [[[1, 7], [2, 4], [3, 1], [5, 1], [6, 4]], 1745317/6879707136000], [[[1, 7], [2, 4], [3, 1], [5, 1], [8, 2]], 106783/25480396800], [[[1, 7], [2, 4], [3, 1], [5, 1], [10, 2]], 54511/79626240000], [[[1, 7], [2, 4], [3, 1], [5, 1], [12, 2]], 2671/38220595200], [[[1, 7], [2, 4], [3, 1], [5, 1], [15, 1]], 2671/3981312000], [[[1, 7], [2, 4], [3, 1], [5, 1], [20, 1]], 2671/2654208000], [[[1, 7], [2, 4], [3, 1], [5, 1], [24, 1]], 2671/3185049600], [[[1, 7], [2, 4], [3, 1], [5, 1], [30, 1]], 2671/3981312000], [[[1, 7], [2, 4], [3, 1], [5, 2], [6, 2]], 8953477/6191736422400], [[[1, 7], [2, 4], [3, 1], [5, 2], [8, 1]], 1840799/286654464000], [[[1, 7], [2, 4], [3, 1], [5, 2], [10, 1]], 3273473/447897600000], [[[1, 7], [2, 4], [3, 1], [5, 2], [12, 1]], 418619/191102976000], [[[1, 7], [2, 4], [3, 1], [6, 2], [8, 2]], 25885961/9906778275840], [[[1, 7], [2, 4], [3, 1], [6, 2], [10, 2]], 26975897/30958682112000], [[[1, 7], [2, 4], [3, 1], [6, 2], [12, 2]], 5496623/14860167413760], [[[1, 7], [2, 4], [3, 1], [6, 2], [15, 1]], 109573/309586821120], [[[1, 7], [2, 4], [3, 1], [6, 2], [20, 1]], 109573/206391214080], [[[1, 7], [2, 4], [3, 1], [6, 2], [24, 1]], 171781/247669456896], [[[1, 7], [2, 4], [3, 1], [6, 2], [30, 1]], 109573/309586821120], [[[1, 7], [2, 4], [3, 1], [6, 3], [7, 1]], 52757/16930529280], [[[1, 7], [2, 4], [3, 1], [6, 3], [9, 1]], 162199/152374763520], [[[1, 7], [2, 4], [3, 1], [6, 3], [14, 1]], 2071/4232632320], [[[1, 7], [2, 4], [3, 1], [6, 3], [18, 1]], 4808107/8358844170240], [[[1, 7], [2, 4], [3, 1], [6, 4], [8, 1]], 28175263/74300837068800], [[[1, 7], [2, 4], [3, 1], [6, 4], [10, 1]], 31373761/116095057920000], [[[1, 7], [2, 4], [3, 1], [6, 4], [12, 1]], 153762817/445805022412800], [[[1, 7], [2, 4], [3, 1], [7, 1], [9, 1]], 1249/477757440], [[[1, 7], [2, 4], [3, 1], [7, 1], [14, 1]], 5743/487710720], [[[1, 7], [2, 4], [3, 1], [7, 1], [18, 1]], 3691/1881169920], [[[1, 7], [2, 4], [3, 1], [8, 1], [10, 2]], 5663/286654464000], [[[1, 7], [2, 4], [3, 1], [8, 1], [12, 2]], 5663/137594142720], [[[1, 7], [2, 4], [3, 1], [8, 1], [15, 1]], 5663/14332723200], [[[1, 7], [2, 4], [3, 1], [8, 1], [16, 1]], 17/8847360], [[[1, 7], [2, 4], [3, 1], [8, 1], [20, 1]], 5663/9555148800], [[[1, 7], [2, 4], [3, 1], [8, 1], [24, 1]], 5663/11466178560], [[[1, 7], [2, 4], [3, 1], [8, 1], [30, 1]], 5663/14332723200], [[[1, 7], [2, 4], [3, 1], [8, 2], [10, 1]], 53561/143327232000], [[[1, 7], [2, 4], [3, 1], [8, 2], [12, 1]], 70283/61152952320], [[[1, 7], [2, 4], [3, 1], [9, 1], [14, 1]], 20399/17557585920], [[[1, 7], [2, 4], [3, 1], [9, 1], [18, 1]], 51893/16930529280], [[[1, 7], [2, 4], [3, 1], [10, 1], [12, 2]], 4961/214990848000], [[[1, 7], [2, 4], [3, 1], [10, 1], [15, 1]], 4961/22394880000], [[[1, 7], [2, 4], [3, 1], [10, 1], [20, 1]], 4961/14929920000], [[[1, 7], [2, 4], [3, 1], [10, 1], [24, 1]], 4961/17915904000], [[[1, 7], [2, 4], [3, 1], [10, 1], [30, 1]], 4961/22394880000], [[[1, 7], [2, 4], [3, 1], [10, 2], [12, 1]], 52283/191102976000], [[[1, 7], [2, 4], [3, 1], [12, 1], [15, 1]], 443/9555148800], [[[1, 7], [2, 4], [3, 1], [12, 1], [20, 1]], 443/6370099200], [[[1, 7], [2, 4], [3, 1], [12, 1], [24, 1]], 443/7644119040], [[[1, 7], [2, 4], [3, 1], [12, 1], [30, 1]], 443/9555148800], [[[1, 7], [2, 4], [3, 1], [14, 1], [18, 1]], 1067/1881169920], [[[1, 7], [2, 4], [3, 2], [4, 1], [5, 2]], 3124013/429981696000], [[[1, 7], [2, 4], [3, 2], [4, 1], [6, 4]], 94131877/111451255603200], [[[1, 7], [2, 4], [3, 2], [4, 1], [8, 2]], 789521/137594142720], [[[1, 7], [2, 4], [3, 2], [4, 1], [10, 2]], 214277/429981696000], [[[1, 7], [2, 4], [3, 2], [4, 1], [12, 2]], 153727/103195607040], [[[1, 7], [2, 4], [3, 2], [4, 1], [15, 1]], 15557/21499084800], [[[1, 7], [2, 4], [3, 2], [4, 1], [16, 1]], 7/3981312], [[[1, 7], [2, 4], [3, 2], [4, 1], [20, 1]], 15557/14332723200], [[[1, 7], [2, 4], [3, 2], [4, 1], [24, 1]], 15557/17199267840], [[[1, 7], [2, 4], [3, 2], [4, 1], [30, 1]], 15557/21499084800], [[[1, 7], [2, 4], [3, 2], [4, 2], [6, 3]], 46242739/13869489586176], [[[1, 7], [2, 4], [3, 2], [4, 2], [7, 1]], 6593/1337720832], [[[1, 7], [2, 4], [3, 2], [4, 2], [9, 1]], 1672903/619173642240], [[[1, 7], [2, 4], [3, 2], [4, 2], [14, 1]], 803/371589120], [[[1, 7], [2, 4], [3, 2], [4, 2], [18, 1]], 12803/8599633920], [[[1, 7], [2, 4], [3, 2], [4, 3], [5, 1]], 22133/6370099200], [[[1, 7], [2, 4], [3, 2], [4, 3], [6, 2]], 89273651/13209037701120], [[[1, 7], [2, 4], [3, 2], [4, 3], [8, 1]], 258637/30576476160], [[[1, 7], [2, 4], [3, 2], [4, 3], [10, 1]], 1135/764411904], [[[1, 7], [2, 4], [3, 2], [4, 3], [12, 1]], 32048857/6604518850560], [[[1, 7], [2, 4], [3, 2], [4, 4], [6, 1]], 221826823/57789539942400], [[[1, 7], [2, 4], [3, 2], [5, 1], [6, 3]], 6185171/2321901158400], [[[1, 7], [2, 4], [3, 2], [5, 1], [7, 1]], 19/3317760], [[[1, 7], [2, 4], [3, 2], [5, 1], [9, 1]], 7637/2388787200], [[[1, 7], [2, 4], [3, 2], [5, 1], [14, 1]], 3643/1045094400], [[[1, 7], [2, 4], [3, 2], [5, 1], [18, 1]], 9043/4031078400], [[[1, 7], [2, 4], [3, 2], [5, 2], [6, 1]], 7703179/752467968000], [[[1, 7], [2, 4], [3, 2], [6, 1], [8, 2]], 854827/240789749760], [[[1, 7], [2, 4], [3, 2], [6, 1], [10, 2]], 294883/752467968000], [[[1, 7], [2, 4], [3, 2], [6, 1], [12, 2]], 51343/51597803520], [[[1, 7], [2, 4], [3, 2], [6, 1], [15, 1]], 32803/37623398400], [[[1, 7], [2, 4], [3, 2], [6, 1], [20, 1]], 32803/25082265600], [[[1, 7], [2, 4], [3, 2], [6, 1], [24, 1]], 84211/30098718720], [[[1, 7], [2, 4], [3, 2], [6, 1], [30, 1]], 32803/37623398400], [[[1, 7], [2, 4], [3, 2], [6, 2], [7, 1]], 2699353/137594142720], [[[1, 7], [2, 4], [3, 2], [6, 2], [9, 1]], 83051549/11145125560320], [[[1, 7], [2, 4], [3, 2], [6, 2], [14, 1]], 2621179/561842749440], [[[1, 7], [2, 4], [3, 2], [6, 2], [18, 1]], 523207/135444234240], [[[1, 7], [2, 4], [3, 2], [6, 3], [8, 1]], 25821647/7430083706880], [[[1, 7], [2, 4], [3, 2], [6, 3], [10, 1]], 1051643/401316249600], [[[1, 7], [2, 4], [3, 2], [6, 3], [12, 1]], 5559161/1625330810880], [[[1, 7], [2, 4], [3, 2], [7, 1], [8, 1]], 149/34836480], [[[1, 7], [2, 4], [3, 2], [7, 1], [10, 1]], 137/58060800], [[[1, 7], [2, 4], [3, 2], [7, 1], [12, 1]], 34039/17836277760], [[[1, 7], [2, 4], [3, 2], [8, 1], [9, 1]], 53087/25798901760], [[[1, 7], [2, 4], [3, 2], [8, 1], [14, 1]], 11/6531840], [[[1, 7], [2, 4], [3, 2], [8, 1], [18, 1]], 47/40310784], [[[1, 7], [2, 4], [3, 2], [9, 1], [10, 1]], 43421/40310784000], [[[1, 7], [2, 4], [3, 2], [9, 1], [12, 1]], 20173/22932357120], [[[1, 7], [2, 4], [3, 2], [10, 1], [14, 1]], 13/17418240], [[[1, 7], [2, 4], [3, 2], [10, 1], [18, 1]], 1/1866240], [[[1, 7], [2, 4], [3, 2], [12, 1], [14, 1]], 80459/93640458240], [[[1, 7], [2, 4], [3, 2], [12, 1], [18, 1]], 821/1410877440], [[[1, 7], [2, 4], [3, 3], [4, 1], [6, 3]], 25661573/3715041853440], [[[1, 7], [2, 4], [3, 3], [4, 1], [7, 1]], 52319/20065812480], [[[1, 7], [2, 4], [3, 3], [4, 1], [9, 1]], 126551/77396705280], [[[1, 7], [2, 4], [3, 3], [4, 1], [14, 1]], 28111/20065812480], [[[1, 7], [2, 4], [3, 3], [4, 1], [18, 1]], 23743/25798901760], [[[1, 7], [2, 4], [3, 3], [4, 2], [5, 1]], 545399/171992678400], [[[1, 7], [2, 4], [3, 3], [4, 2], [6, 2]], 437152373/59440669655040], [[[1, 7], [2, 4], [3, 3], [4, 2], [8, 1]], 1088101/275188285440], [[[1, 7], [2, 4], [3, 3], [4, 2], [10, 1]], 3631/4299816960], [[[1, 7], [2, 4], [3, 3], [4, 2], [12, 1]], 6096137/1981355655168], [[[1, 7], [2, 4], [3, 3], [4, 3], [6, 1]], 364013/137594142720], [[[1, 7], [2, 4], [3, 3], [5, 1], [6, 2]], 62768693/6191736422400], [[[1, 7], [2, 4], [3, 3], [5, 1], [8, 1]], 5273/1791590400], [[[1, 7], [2, 4], [3, 3], [5, 1], [10, 1]], 973/829440000], [[[1, 7], [2, 4], [3, 3], [5, 1], [12, 1]], 27877/12740198400], [[[1, 7], [2, 4], [3, 3], [6, 1], [7, 1]], 3769/627056640], [[[1, 7], [2, 4], [3, 3], [6, 1], [9, 1]], 21467/6772211712], [[[1, 7], [2, 4], [3, 3], [6, 1], [14, 1]], 283/104509440], [[[1, 7], [2, 4], [3, 3], [6, 1], [18, 1]], 1786811/928760463360], [[[1, 7], [2, 4], [3, 3], [6, 2], [8, 1]], 3499999/825564856320], [[[1, 7], [2, 4], [3, 3], [6, 2], [10, 1]], 1986881/1289945088000], [[[1, 7], [2, 4], [3, 3], [6, 2], [12, 1]], 20411719/2972033482752], [[[1, 7], [2, 4], [3, 3], [8, 1], [10, 1]], 73/179159040], [[[1, 7], [2, 4], [3, 3], [8, 1], [12, 1]], 195359/137594142720], [[[1, 7], [2, 4], [3, 3], [10, 1], [12, 1]], 158801/214990848000], [[[1, 7], [2, 4], [3, 4], [4, 1], [5, 1]], 3291757/2293235712000], [[[1, 7], [2, 4], [3, 4], [4, 1], [6, 2]], 7869229/2476694568960], [[[1, 7], [2, 4], [3, 4], [4, 1], [8, 1]], 1153536983/924632639078400], [[[1, 7], [2, 4], [3, 4], [4, 1], [10, 1]], 143407/764411904000], [[[1, 7], [2, 4], [3, 4], [4, 1], [12, 1]], 5226893/4127824281600], [[[1, 7], [2, 4], [3, 4], [4, 2], [6, 1]], 1833184789/2080423437926400], [[[1, 7], [2, 4], [3, 4], [5, 1], [6, 1]], 7987363/2579890176000], [[[1, 7], [2, 4], [3, 4], [6, 1], [8, 1]], 13127263/8255648563200], [[[1, 7], [2, 4], [3, 4], [6, 1], [10, 1]], 28622609/108355387392000], [[[1, 7], [2, 4], [3, 4], [6, 1], [12, 1]], 654667/290237644800], [[[1, 7], [2, 4], [3, 5], [4, 1], [6, 1]], 11200037/37150418534400], [[[1, 7], [2, 4], [4, 1], [5, 1], [6, 4]], 197671/6879707136000], [[[1, 7], [2, 4], [4, 1], [5, 1], [8, 2]], 98999/8493465600], [[[1, 7], [2, 4], [4, 1], [5, 1], [10, 2]], 41831/26542080000], [[[1, 7], [2, 4], [4, 1], [5, 1], [12, 2]], 1511/12740198400], [[[1, 7], [2, 4], [4, 1], [5, 1], [15, 1]], 1511/1327104000], [[[1, 7], [2, 4], [4, 1], [5, 1], [16, 1]], 11/1843200], [[[1, 7], [2, 4], [4, 1], [5, 1], [20, 1]], 1511/884736000], [[[1, 7], [2, 4], [4, 1], [5, 1], [24, 1]], 1511/1061683200], [[[1, 7], [2, 4], [4, 1], [5, 1], [30, 1]], 1511/1327104000], [[[1, 7], [2, 4], [4, 1], [5, 2], [6, 2]], 4109/9555148800], [[[1, 7], [2, 4], [4, 1], [5, 2], [8, 1]], 33098839/3567255552000], [[[1, 7], [2, 4], [4, 1], [5, 2], [10, 1]], 22117/983040000], [[[1, 7], [2, 4], [4, 1], [5, 2], [12, 1]], 16523/5308416000], [[[1, 7], [2, 4], [4, 1], [6, 2], [8, 2]], 25693/15288238080], [[[1, 7], [2, 4], [4, 1], [6, 2], [10, 2]], 15433/47775744000], [[[1, 7], [2, 4], [4, 1], [6, 2], [12, 2]], 2717/11466178560], [[[1, 7], [2, 4], [4, 1], [6, 2], [15, 1]], 77/477757440], [[[1, 7], [2, 4], [4, 1], [6, 2], [20, 1]], 77/318504960], [[[1, 7], [2, 4], [4, 1], [6, 2], [24, 1]], 77/382205952], [[[1, 7], [2, 4], [4, 1], [6, 2], [30, 1]], 77/477757440], [[[1, 7], [2, 4], [4, 1], [6, 3], [7, 1]], 1315/1337720832], [[[1, 7], [2, 4], [4, 1], [6, 3], [9, 1]], 8143/25798901760], [[[1, 7], [2, 4], [4, 1], [6, 3], [14, 1]], 787/6688604160], [[[1, 7], [2, 4], [4, 1], [6, 3], [18, 1]], 311/1719926784], [[[1, 7], [2, 4], [4, 1], [6, 4], [8, 1]], 100575703/924632639078400], [[[1, 7], [2, 4], [4, 1], [6, 4], [10, 1]], 137261/2293235712000], [[[1, 7], [2, 4], [4, 1], [6, 4], [12, 1]], 39637/458647142400], [[[1, 7], [2, 4], [4, 1], [7, 1], [9, 1]], 1439/278691840], [[[1, 7], [2, 4], [4, 1], [7, 1], [14, 1]], 2599/144506880], [[[1, 7], [2, 4], [4, 1], [7, 1], [18, 1]], 67/18579456], [[[1, 7], [2, 4], [4, 1], [8, 1], [10, 2]], 2665303/3567255552000], [[[1, 7], [2, 4], [4, 1], [8, 1], [12, 2]], 125143/1712282664960], [[[1, 7], [2, 4], [4, 1], [8, 1], [15, 1]], 125143/178362777600], [[[1, 7], [2, 4], [4, 1], [8, 1], [16, 1]], 29/5242880], [[[1, 7], [2, 4], [4, 1], [8, 1], [20, 1]], 33899/23781703680], [[[1, 7], [2, 4], [4, 1], [8, 1], [24, 1]], 213847/142690222080], [[[1, 7], [2, 4], [4, 1], [8, 1], [30, 1]], 125143/178362777600], [[[1, 7], [2, 4], [4, 1], [8, 2], [10, 1]], 2687/943718400], [[[1, 7], [2, 4], [4, 1], [8, 2], [12, 1]], 3491/1698693120], [[[1, 7], [2, 4], [4, 1], [9, 1], [14, 1]], 73/39813120], [[[1, 7], [2, 4], [4, 1], [9, 1], [18, 1]], 3491/716636160], [[[1, 7], [2, 4], [4, 1], [10, 1], [12, 2]], 47/1415577600], [[[1, 7], [2, 4], [4, 1], [10, 1], [15, 1]], 47/147456000], [[[1, 7], [2, 4], [4, 1], [10, 1], [20, 1]], 47/98304000], [[[1, 7], [2, 4], [4, 1], [10, 1], [24, 1]], 47/117964800], [[[1, 7], [2, 4], [4, 1], [10, 1], [30, 1]], 47/147456000], [[[1, 7], [2, 4], [4, 1], [10, 2], [12, 1]], 11/5308416000], [[[1, 7], [2, 4], [4, 1], [12, 1], [15, 1]], 11/265420800], [[[1, 7], [2, 4], [4, 1], [12, 1], [16, 1]], 11/35389440], [[[1, 7], [2, 4], [4, 1], [12, 1], [20, 1]], 11/35389440], [[[1, 7], [2, 4], [4, 1], [12, 1], [24, 1]], 77/212336640], [[[1, 7], [2, 4], [4, 1], [12, 1], [30, 1]], 11/265420800], [[[1, 7], [2, 4], [4, 1], [14, 1], [18, 1]], 67/92897280], [[[1, 7], [2, 4], [4, 2], [5, 1], [6, 3]], 17867/171992678400], [[[1, 7], [2, 4], [4, 2], [5, 1], [7, 1]], 2557/309657600], [[[1, 7], [2, 4], [4, 2], [5, 1], [9, 1]], 7979/2388787200], [[[1, 7], [2, 4], [4, 2], [5, 1], [14, 1]], 23/8847360], [[[1, 7], [2, 4], [4, 2], [5, 1], [18, 1]], 179/95551488], [[[1, 7], [2, 4], [4, 2], [5, 2], [6, 1]], 14366837/8026324992000], [[[1, 7], [2, 4], [4, 2], [6, 1], [8, 2]], 17145137/2568423997440], [[[1, 7], [2, 4], [4, 2], [6, 1], [10, 2]], 5597237/8026324992000], [[[1, 7], [2, 4], [4, 2], [6, 1], [12, 2]], 652145/770527199232], [[[1, 7], [2, 4], [4, 2], [6, 1], [15, 1]], 178229/401316249600], [[[1, 7], [2, 4], [4, 2], [6, 1], [16, 1]], 1/589824], [[[1, 7], [2, 4], [4, 2], [6, 1], [20, 1]], 299189/267544166400], [[[1, 7], [2, 4], [4, 2], [6, 1], [24, 1]], 178229/321052999680], [[[1, 7], [2, 4], [4, 2], [6, 1], [30, 1]], 178229/401316249600], [[[1, 7], [2, 4], [4, 2], [6, 2], [7, 1]], 1651/668860416], [[[1, 7], [2, 4], [4, 2], [6, 2], [9, 1]], 4361/5159780352], [[[1, 7], [2, 4], [4, 2], [6, 2], [14, 1]], 95/222953472], [[[1, 7], [2, 4], [4, 2], [6, 2], [18, 1]], 406289/722369249280], [[[1, 7], [2, 4], [4, 2], [6, 3], [8, 1]], 188191/275188285440], [[[1, 7], [2, 4], [4, 2], [6, 3], [10, 1]], 1801/6370099200], [[[1, 7], [2, 4], [4, 2], [6, 3], [12, 1]], 6292513/14860167413760], [[[1, 7], [2, 4], [4, 2], [7, 1], [8, 1]], 13159/495452160], [[[1, 7], [2, 4], [4, 2], [7, 1], [10, 1]], 1117/206438400], [[[1, 7], [2, 4], [4, 2], [7, 1], [12, 1]], 28607/4459069440], [[[1, 7], [2, 4], [4, 2], [8, 1], [9, 1]], 32881/3822059520], [[[1, 7], [2, 4], [4, 2], [8, 1], [14, 1]], 451/123863040], [[[1, 7], [2, 4], [4, 2], [8, 1], [18, 1]], 10171/3822059520], [[[1, 7], [2, 4], [4, 2], [9, 1], [10, 1]], 539/298598400], [[[1, 7], [2, 4], [4, 2], [9, 1], [12, 1]], 37811/17199267840], [[[1, 7], [2, 4], [4, 2], [10, 1], [14, 1]], 253/309657600], [[[1, 7], [2, 4], [4, 2], [10, 1], [18, 1]], 163/265420800], [[[1, 7], [2, 4], [4, 2], [12, 1], [14, 1]], 25327/23410114560], [[[1, 7], [2, 4], [4, 2], [12, 1], [18, 1]], 4603/5643509760], [[[1, 7], [2, 4], [4, 3], [5, 1], [6, 2]], 2041/6370099200], [[[1, 7], [2, 4], [4, 3], [5, 1], [8, 1]], 15523/943718400], [[[1, 7], [2, 4], [4, 3], [5, 1], [10, 1]], 1337/176947200], [[[1, 7], [2, 4], [4, 3], [5, 1], [12, 1]], 11389/1592524800], [[[1, 7], [2, 4], [4, 3], [6, 1], [7, 1]], 979/371589120], [[[1, 7], [2, 4], [4, 3], [6, 1], [9, 1]], 5207/5733089280], [[[1, 7], [2, 4], [4, 3], [6, 1], [14, 1]], 11/23592960], [[[1, 7], [2, 4], [4, 3], [6, 1], [18, 1]], 22651/45864714240], [[[1, 7], [2, 4], [4, 3], [6, 2], [8, 1]], 24293/15288238080], [[[1, 7], [2, 4], [4, 3], [6, 2], [10, 1]], 3151/6370099200], [[[1, 7], [2, 4], [4, 3], [6, 2], [12, 1]], 598961/733835427840], [[[1, 7], [2, 4], [4, 3], [8, 1], [10, 1]], 4513/1415577600], [[[1, 7], [2, 4], [4, 3], [8, 1], [12, 1]], 4072219/428070666240], [[[1, 7], [2, 4], [4, 3], [10, 1], [12, 1]], 551/530841600], [[[1, 7], [2, 4], [4, 4], [5, 1], [6, 1]], 309793/764411904000], [[[1, 7], [2, 4], [4, 4], [6, 1], [8, 1]], 8320213/2446118092800], [[[1, 7], [2, 4], [4, 4], [6, 1], [10, 1]], 12650779/32105299968000], [[[1, 7], [2, 4], [4, 4], [6, 1], [12, 1]], 1076771/687970713600], [[[1, 7], [2, 4], [5, 1], [6, 1], [8, 2]], 6787/3185049600], [[[1, 7], [2, 4], [5, 1], [6, 1], [10, 2]], 11107/9953280000], [[[1, 7], [2, 4], [5, 1], [6, 1], [12, 2]], 163/4777574400], [[[1, 7], [2, 4], [5, 1], [6, 1], [15, 1]], 163/497664000], [[[1, 7], [2, 4], [5, 1], [6, 1], [20, 1]], 163/331776000], [[[1, 7], [2, 4], [5, 1], [6, 1], [24, 1]], 163/398131200], [[[1, 7], [2, 4], [5, 1], [6, 1], [30, 1]], 163/497664000], [[[1, 7], [2, 4], [5, 1], [6, 2], [7, 1]], 397/174182400], [[[1, 7], [2, 4], [5, 1], [6, 2], [9, 1]], 607/671846400], [[[1, 7], [2, 4], [5, 1], [6, 2], [14, 1]], 19/29030400], [[[1, 7], [2, 4], [5, 1], [6, 2], [18, 1]], 119/179159040], [[[1, 7], [2, 4], [5, 1], [6, 3], [8, 1]], 2813/7166361600], [[[1, 7], [2, 4], [5, 1], [6, 3], [10, 1]], 41/124416000], [[[1, 7], [2, 4], [5, 1], [6, 3], [12, 1]], 1891/4777574400], [[[1, 7], [2, 4], [5, 1], [7, 1], [8, 1]], 67/6451200], [[[1, 7], [2, 4], [5, 1], [7, 1], [10, 1]], 1261/80640000], [[[1, 7], [2, 4], [5, 1], [8, 1], [9, 1]], 113/24883200], [[[1, 7], [2, 4], [5, 1], [8, 1], [14, 1]], 109/25804800], [[[1, 7], [2, 4], [5, 1], [8, 1], [18, 1]], 293/99532800], [[[1, 7], [2, 4], [5, 1], [9, 1], [10, 1]], 179/34560000], [[[1, 7], [2, 4], [5, 1], [10, 1], [14, 1]], 19/8064000], [[[1, 7], [2, 4], [5, 1], [10, 1], [18, 1]], 1/576000], [[[1, 7], [2, 4], [5, 2], [6, 1], [8, 1]], 49759/31850496000], [[[1, 7], [2, 4], [5, 2], [6, 1], [10, 1]], 702577/418037760000], [[[1, 7], [2, 4], [5, 2], [6, 1], [12, 1]], 108931/62705664000], [[[1, 7], [2, 4], [6, 1], [7, 1], [9, 1]], 73/41803776], [[[1, 7], [2, 4], [6, 1], [7, 1], [14, 1]], 29/10838016], [[[1, 7], [2, 4], [6, 1], [7, 1], [18, 1]], 3751/3344302080], [[[1, 7], [2, 4], [6, 1], [8, 1], [10, 2]], 8863/31850496000], [[[1, 7], [2, 4], [6, 1], [8, 1], [12, 2]], 223/15288238080], [[[1, 7], [2, 4], [6, 1], [8, 1], [15, 1]], 223/1592524800], [[[1, 7], [2, 4], [6, 1], [8, 1], [16, 1]], 1/3538944], [[[1, 7], [2, 4], [6, 1], [8, 1], [20, 1]], 223/1061683200], [[[1, 7], [2, 4], [6, 1], [8, 1], [24, 1]], 223/1274019840], [[[1, 7], [2, 4], [6, 1], [8, 1], [30, 1]], 223/1592524800], [[[1, 7], [2, 4], [6, 1], [8, 2], [10, 1]], 99289/133772083200], [[[1, 7], [2, 4], [6, 1], [8, 2], [12, 1]], 9517/20065812480], [[[1, 7], [2, 4], [6, 1], [9, 1], [14, 1]], 17/41803776], [[[1, 7], [2, 4], [6, 1], [9, 1], [18, 1]], 8683/12899450880], [[[1, 7], [2, 4], [6, 1], [10, 1], [12, 2]], 1009/200658124800], [[[1, 7], [2, 4], [6, 1], [10, 1], [15, 1]], 1009/20901888000], [[[1, 7], [2, 4], [6, 1], [10, 1], [20, 1]], 1009/13934592000], [[[1, 7], [2, 4], [6, 1], [10, 1], [24, 1]], 1009/16721510400], [[[1, 7], [2, 4], [6, 1], [10, 1], [30, 1]], 1009/20901888000], [[[1, 7], [2, 4], [6, 1], [10, 2], [12, 1]], 67/62705664000], [[[1, 7], [2, 4], [6, 1], [12, 1], [15, 1]], 67/3135283200], [[[1, 7], [2, 4], [6, 1], [12, 1], [20, 1]], 67/2090188800], [[[1, 7], [2, 4], [6, 1], [12, 1], [24, 1]], 67/2508226560], [[[1, 7], [2, 4], [6, 1], [12, 1], [30, 1]], 67/3135283200], [[[1, 7], [2, 4], [6, 1], [14, 1], [18, 1]], 1639/17557585920], [[[1, 7], [2, 4], [6, 2], [7, 1], [8, 1]], 5/2322432], [[[1, 7], [2, 4], [6, 2], [7, 1], [10, 1]], 11/7741440], [[[1, 7], [2, 4], [6, 2], [7, 1], [12, 1]], 14071/17836277760], [[[1, 7], [2, 4], [6, 2], [8, 1], [9, 1]], 1/1492992], [[[1, 7], [2, 4], [6, 2], [8, 1], [14, 1]], 1/4644864], [[[1, 7], [2, 4], [6, 2], [8, 1], [18, 1]], 703/2866544640], [[[1, 7], [2, 4], [6, 2], [9, 1], [10, 1]], 7/17915904], [[[1, 7], [2, 4], [6, 2], [9, 1], [12, 1]], 16123/68797071360], [[[1, 7], [2, 4], [6, 2], [10, 1], [14, 1]], 1/23224320], [[[1, 7], [2, 4], [6, 2], [10, 1], [18, 1]], 2269/37623398400], [[[1, 7], [2, 4], [6, 2], [12, 1], [14, 1]], 5419/93640458240], [[[1, 7], [2, 4], [6, 2], [12, 1], [18, 1]], 1/17635968], [[[1, 7], [2, 4], [6, 3], [8, 1], [10, 1]], 17/159252480], [[[1, 7], [2, 4], [6, 3], [8, 1], [12, 1]], 2143/15288238080], [[[1, 7], [2, 4], [6, 3], [10, 1], [12, 1]], 6049/200658124800], [[[1, 7], [2, 4], [7, 1], [8, 1], [10, 1]], 13/2580480], [[[1, 7], [2, 4], [8, 1], [9, 1], [10, 1]], 1/622080], [[[1, 7], [2, 4], [8, 1], [10, 1], [14, 1]], 1/1720320], [[[1, 7], [2, 4], [8, 1], [10, 1], [18, 1]], 1/2211840], [[[1, 7], [2, 6], [3, 1], [4, 1], [5, 2]], 41348117/11466178560000], [[[1, 7], [2, 6], [3, 1], [4, 1], [6, 4]], 3742066069/2972033482752000], [[[1, 7], [2, 6], [3, 1], [4, 1], [8, 2]], 21158339/3669177139200], [[[1, 7], [2, 6], [3, 1], [4, 1], [10, 2]], 16136117/11466178560000], [[[1, 7], [2, 6], [3, 1], [4, 1], [12, 2]], 878069/5503765708800], [[[1, 7], [2, 6], [3, 1], [4, 1], [15, 1]], 172469/573308928000], [[[1, 7], [2, 6], [3, 1], [4, 1], [16, 1]], 1/589824], [[[1, 7], [2, 6], [3, 1], [4, 1], [20, 1]], 172469/382205952000], [[[1, 7], [2, 6], [3, 1], [4, 1], [24, 1]], 172469/458647142400], [[[1, 7], [2, 6], [3, 1], [4, 1], [30, 1]], 172469/573308928000], [[[1, 7], [2, 6], [3, 1], [4, 2], [6, 3]], 365949121/89161004482560], [[[1, 7], [2, 6], [3, 1], [4, 2], [7, 1]], 1168561/321052999680], [[[1, 7], [2, 6], [3, 1], [4, 2], [9, 1]], 251181941/115579079884800], [[[1, 7], [2, 6], [3, 1], [4, 2], [14, 1]], 95063/32105299968], [[[1, 7], [2, 6], [3, 1], [4, 2], [18, 1]], 559561/309586821120], [[[1, 7], [2, 6], [3, 1], [4, 3], [5, 1]], 4888609/1146617856000], [[[1, 7], [2, 6], [3, 1], [4, 3], [6, 2]], 77209181/9906778275840], [[[1, 7], [2, 6], [3, 1], [4, 3], [8, 1]], 22149149/1467670855680], [[[1, 7], [2, 6], [3, 1], [4, 3], [10, 1]], 229033/84934656000], [[[1, 7], [2, 6], [3, 1], [4, 3], [12, 1]], 14490923/2751882854400], [[[1, 7], [2, 6], [3, 1], [4, 4], [6, 1]], 153294714911/17832200896512000], [[[1, 7], [2, 6], [3, 1], [5, 1], [6, 3]], 2102837/1031956070400], [[[1, 7], [2, 6], [3, 1], [5, 1], [7, 1]], 269/176947200], [[[1, 7], [2, 6], [3, 1], [5, 1], [9, 1]], 45547/47775744000], [[[1, 7], [2, 6], [3, 1], [5, 1], [14, 1]], 2123/1238630400], [[[1, 7], [2, 6], [3, 1], [5, 1], [18, 1]], 2753/2866544640], [[[1, 7], [2, 6], [3, 1], [5, 2], [6, 1]], 942305393/232190115840000], [[[1, 7], [2, 6], [3, 1], [6, 1], [8, 2]], 344307341/74300837068800], [[[1, 7], [2, 6], [3, 1], [6, 1], [10, 2]], 506642033/232190115840000], [[[1, 7], [2, 6], [3, 1], [6, 1], [12, 2]], 18339851/111451255603200], [[[1, 7], [2, 6], [3, 1], [6, 1], [15, 1]], 2974961/11609505792000], [[[1, 7], [2, 6], [3, 1], [6, 1], [20, 1]], 2974961/7739670528000], [[[1, 7], [2, 6], [3, 1], [6, 1], [24, 1]], 6547061/9287604633600], [[[1, 7], [2, 6], [3, 1], [6, 1], [30, 1]], 2974961/11609505792000], [[[1, 7], [2, 6], [3, 1], [6, 2], [7, 1]], 4894871/1444738498560], [[[1, 7], [2, 6], [3, 1], [6, 2], [9, 1]], 21837649/13002646487040], [[[1, 7], [2, 6], [3, 1], [6, 2], [14, 1]], 2707861/1444738498560], [[[1, 7], [2, 6], [3, 1], [6, 2], [18, 1]], 117317639/83588441702400], [[[1, 7], [2, 6], [3, 1], [6, 3], [8, 1]], 17911477/7430083706880], [[[1, 7], [2, 6], [3, 1], [6, 3], [10, 1]], 88638571/46438023168000], [[[1, 7], [2, 6], [3, 1], [6, 3], [12, 1]], 121720991/111451255603200], [[[1, 7], [2, 6], [3, 1], [7, 1], [8, 1]], 277/165150720], [[[1, 7], [2, 6], [3, 1], [7, 1], [10, 1]], 8107/5225472000], [[[1, 7], [2, 6], [3, 1], [7, 1], [12, 1]], 1781/8918138880], [[[1, 7], [2, 6], [3, 1], [8, 1], [9, 1]], 14711/15288238080], [[[1, 7], [2, 6], [3, 1], [8, 1], [14, 1]], 7307/5350883328], [[[1, 7], [2, 6], [3, 1], [8, 1], [18, 1]], 86953/103195607040], [[[1, 7], [2, 6], [3, 1], [9, 1], [10, 1]], 2440253/3009871872000], [[[1, 7], [2, 6], [3, 1], [9, 1], [12, 1]], 1247/11466178560], [[[1, 7], [2, 6], [3, 1], [10, 1], [14, 1]], 421/435456000], [[[1, 7], [2, 6], [3, 1], [10, 1], [18, 1]], 25351/40310784000], [[[1, 7], [2, 6], [3, 1], [12, 1], [14, 1]], 1423/8918138880], [[[1, 7], [2, 6], [3, 1], [12, 1], [18, 1]], 3383/34398535680], [[[1, 7], [2, 6], [3, 2], [4, 1], [6, 3]], 8493732029/891610044825600], [[[1, 7], [2, 6], [3, 2], [4, 1], [7, 1]], 167/79626240], [[[1, 7], [2, 6], [3, 2], [4, 1], [9, 1]], 1407749/1031956070400], [[[1, 7], [2, 6], [3, 2], [4, 1], [14, 1]], 2917/1433272320], [[[1, 7], [2, 6], [3, 2], [4, 1], [18, 1]], 2285/1934917632], [[[1, 7], [2, 6], [3, 2], [4, 2], [5, 1]], 2869909/687970713600], [[[1, 7], [2, 6], [3, 2], [4, 2], [6, 2]], 27484838047/1232843518771200], [[[1, 7], [2, 6], [3, 2], [4, 2], [8, 1]], 4302217/550376570880], [[[1, 7], [2, 6], [3, 2], [4, 2], [10, 1]], 114979/47775744000], [[[1, 7], [2, 6], [3, 2], [4, 2], [12, 1]], 1993104221/616421759385600], [[[1, 7], [2, 6], [3, 2], [4, 3], [6, 1]], 128890691/13209037701120], [[[1, 7], [2, 6], [3, 2], [5, 1], [6, 2]], 1322871053/123834728448000], [[[1, 7], [2, 6], [3, 2], [5, 1], [8, 1]], 2383/1061683200], [[[1, 7], [2, 6], [3, 2], [5, 1], [10, 1]], 65609/22394880000], [[[1, 7], [2, 6], [3, 2], [5, 1], [12, 1]], 175997/254803968000], [[[1, 7], [2, 6], [3, 2], [6, 1], [7, 1]], 4894871/1444738498560], [[[1, 7], [2, 6], [3, 2], [6, 1], [9, 1]], 167369159/83588441702400], [[[1, 7], [2, 6], [3, 2], [6, 1], [14, 1]], 3176821/1123685498880], [[[1, 7], [2, 6], [3, 2], [6, 1], [18, 1]], 7610117/4334215495680], [[[1, 7], [2, 6], [3, 2], [6, 2], [8, 1]], 402601799/39627113103360], [[[1, 7], [2, 6], [3, 2], [6, 2], [10, 1]], 742493797/96315899904000], [[[1, 7], [2, 6], [3, 2], [6, 2], [12, 1]], 157189/61917364224], [[[1, 7], [2, 6], [3, 2], [8, 1], [10, 1]], 5999/4478976000], [[[1, 7], [2, 6], [3, 2], [8, 1], [12, 1]], 19021/27179089920], [[[1, 7], [2, 6], [3, 2], [10, 1], [12, 1]], 9487517/16052649984000], [[[1, 7], [2, 6], [3, 3], [4, 1], [5, 1]], 1624987/859963392000], [[[1, 7], [2, 6], [3, 3], [4, 1], [6, 2]], 1122447727/99067782758400], [[[1, 7], [2, 6], [3, 3], [4, 1], [8, 1]], 394891/183458856960], [[[1, 7], [2, 6], [3, 3], [4, 1], [10, 1]], 829367/859963392000], [[[1, 7], [2, 6], [3, 3], [4, 1], [12, 1]], 20007167/16511297126400], [[[1, 7], [2, 6], [3, 3], [4, 2], [6, 1]], 104019269/17832200896512], [[[1, 7], [2, 6], [3, 3], [5, 1], [6, 1]], 32962693/9287604633600], [[[1, 7], [2, 6], [3, 3], [6, 1], [8, 1]], 60073/18345885696], [[[1, 7], [2, 6], [3, 3], [6, 1], [10, 1]], 10633211/5159780352000], [[[1, 7], [2, 6], [3, 3], [6, 1], [12, 1]], 178148831/111451255603200], [[[1, 7], [2, 6], [3, 4], [4, 1], [6, 1]], 1935716269/990677827584000], [[[1, 7], [2, 6], [4, 1], [5, 1], [6, 3]], 2658221/3439853568000], [[[1, 7], [2, 6], [4, 1], [5, 1], [7, 1]], 359/98304000], [[[1, 7], [2, 6], [4, 1], [5, 1], [9, 1]], 24547/11943936000], [[[1, 7], [2, 6], [4, 1], [5, 1], [14, 1]], 5941/1769472000], [[[1, 7], [2, 6], [4, 1], [5, 1], [18, 1]], 94541/47775744000], [[[1, 7], [2, 6], [4, 1], [5, 2], [6, 1]], 7619117/3822059520000], [[[1, 7], [2, 6], [4, 1], [6, 1], [8, 2]], 6001079/1223059046400], [[[1, 7], [2, 6], [4, 1], [6, 1], [10, 2]], 6696797/3822059520000], [[[1, 7], [2, 6], [4, 1], [6, 1], [12, 2]], 238109/1834588569600], [[[1, 7], [2, 6], [4, 1], [6, 1], [15, 1]], 45869/191102976000], [[[1, 7], [2, 6], [4, 1], [6, 1], [16, 1]], 13/10616832], [[[1, 7], [2, 6], [4, 1], [6, 1], [20, 1]], 45869/127401984000], [[[1, 7], [2, 6], [4, 1], [6, 1], [24, 1]], 45869/152882380800], [[[1, 7], [2, 6], [4, 1], [6, 1], [30, 1]], 45869/191102976000], [[[1, 7], [2, 6], [4, 1], [6, 2], [7, 1]], 167/79626240], [[[1, 7], [2, 6], [4, 1], [6, 2], [9, 1]], 841/859963392], [[[1, 7], [2, 6], [4, 1], [6, 2], [14, 1]], 563/557383680], [[[1, 7], [2, 6], [4, 1], [6, 2], [18, 1]], 10567/12740198400], [[[1, 7], [2, 6], [4, 1], [6, 3], [8, 1]], 30529907/23115815976960], [[[1, 7], [2, 6], [4, 1], [6, 3], [10, 1]], 1019047/1146617856000], [[[1, 7], [2, 6], [4, 1], [6, 3], [12, 1]], 1269589/1834588569600], [[[1, 7], [2, 6], [4, 1], [7, 1], [8, 1]], 7291/1321205760], [[[1, 7], [2, 6], [4, 1], [7, 1], [10, 1]], 359/98304000], [[[1, 7], [2, 6], [4, 1], [7, 1], [12, 1]], 7/21233664], [[[1, 7], [2, 6], [4, 1], [8, 1], [9, 1]], 7291/2548039680], [[[1, 7], [2, 6], [4, 1], [8, 1], [14, 1]], 146119/41617981440], [[[1, 7], [2, 6], [4, 1], [8, 1], [18, 1]], 751571/321052999680], [[[1, 7], [2, 6], [4, 1], [9, 1], [10, 1]], 20687/11943936000], [[[1, 7], [2, 6], [4, 1], [9, 1], [12, 1]], 49/286654464], [[[1, 7], [2, 6], [4, 1], [10, 1], [14, 1]], 22987/12386304000], [[[1, 7], [2, 6], [4, 1], [10, 1], [18, 1]], 20167/15925248000], [[[1, 7], [2, 6], [4, 1], [12, 1], [14, 1]], 311/1486356480], [[[1, 7], [2, 6], [4, 1], [12, 1], [18, 1]], 89/637009920], [[[1, 7], [2, 6], [4, 2], [5, 1], [6, 2]], 29891/14332723200], [[[1, 7], [2, 6], [4, 2], [5, 1], [8, 1]], 2644871/169869312000], [[[1, 7], [2, 6], [4, 2], [5, 1], [10, 1]], 960031/53084160000], [[[1, 7], [2, 6], [4, 2], [5, 1], [12, 1]], 626777/191102976000], [[[1, 7], [2, 6], [4, 2], [6, 1], [7, 1]], 1168561/321052999680], [[[1, 7], [2, 6], [4, 2], [6, 1], [9, 1]], 2218069/1238347284480], [[[1, 7], [2, 6], [4, 2], [6, 1], [14, 1]], 395221/187280916480], [[[1, 7], [2, 6], [4, 2], [6, 1], [18, 1]], 183128381/115579079884800], [[[1, 7], [2, 6], [4, 2], [6, 2], [8, 1]], 98945/18345885696], [[[1, 7], [2, 6], [4, 2], [6, 2], [10, 1]], 239731/100329062400], [[[1, 7], [2, 6], [4, 2], [6, 2], [12, 1]], 12224592229/5547795834470400], [[[1, 7], [2, 6], [4, 2], [8, 1], [10, 1]], 1842851/169869312000], [[[1, 7], [2, 6], [4, 2], [8, 1], [12, 1]], 209119/30576476160], [[[1, 7], [2, 6], [4, 2], [10, 1], [12, 1]], 8995711/4013162496000], [[[1, 7], [2, 6], [4, 3], [5, 1], [6, 1]], 333203/127401984000], [[[1, 7], [2, 6], [4, 3], [6, 1], [8, 1]], 123764149/10273695989760], [[[1, 7], [2, 6], [4, 3], [6, 1], [10, 1]], 286673/101921587200], [[[1, 7], [2, 6], [4, 3], [6, 1], [12, 1]], 15217357/3669177139200], [[[1, 7], [2, 6], [5, 1], [6, 1], [7, 1]], 8107/5225472000], [[[1, 7], [2, 6], [5, 1], [6, 1], [9, 1]], 6679/8062156800], [[[1, 7], [2, 6], [5, 1], [6, 1], [14, 1]], 227/193536000], [[[1, 7], [2, 6], [5, 1], [6, 1], [18, 1]], 110863/143327232000], [[[1, 7], [2, 6], [5, 1], [6, 2], [8, 1]], 4123/2985984000], [[[1, 7], [2, 6], [5, 1], [6, 2], [10, 1]], 199/99532800], [[[1, 7], [2, 6], [5, 1], [6, 2], [12, 1]], 424879/764411904000], [[[1, 7], [2, 6], [5, 1], [8, 1], [10, 1]], 7777/1105920000], [[[1, 7], [2, 6], [6, 1], [7, 1], [8, 1]], 277/165150720], [[[1, 7], [2, 6], [6, 1], [7, 1], [10, 1]], 269/176947200], [[[1, 7], [2, 6], [6, 1], [7, 1], [12, 1]], 1781/8918138880], [[[1, 7], [2, 6], [6, 1], [8, 1], [9, 1]], 2339/2866544640], [[[1, 7], [2, 6], [6, 1], [8, 1], [14, 1]], 877/990904320], [[[1, 7], [2, 6], [6, 1], [8, 1], [18, 1]], 5957/9172942848], [[[1, 7], [2, 6], [6, 1], [9, 1], [10, 1]], 9551/14332723200], [[[1, 7], [2, 6], [6, 1], [9, 1], [12, 1]], 3383/34398535680], [[[1, 7], [2, 6], [6, 1], [10, 1], [14, 1]], 45007/78033715200], [[[1, 7], [2, 6], [6, 1], [10, 1], [18, 1]], 272131/601974374400], [[[1, 7], [2, 6], [6, 1], [12, 1], [14, 1]], 21109/187280916480], [[[1, 7], [2, 6], [6, 1], [12, 1], [18, 1]], 54751/722369249280], [[[1, 7], [2, 6], [6, 2], [8, 1], [10, 1]], 7271/6370099200], [[[1, 7], [2, 6], [6, 2], [8, 1], [12, 1]], 113797/244611809280], [[[1, 7], [2, 6], [6, 2], [10, 1], [12, 1]], 41353/128421199872], [[[1, 7], [2, 8], [3, 1], [4, 1], [6, 3]], 56473441/32506616217600], [[[1, 7], [2, 8], [3, 1], [4, 1], [7, 1]], 17327/52022476800], [[[1, 7], [2, 8], [3, 1], [4, 1], [9, 1]], 639487/2751882854400], [[[1, 7], [2, 8], [3, 1], [4, 1], [14, 1]], 77519/133772083200], [[[1, 7], [2, 8], [3, 1], [4, 1], [18, 1]], 58529/206391214080], [[[1, 7], [2, 8], [3, 1], [4, 2], [5, 1]], 8443071703/7705271992320000], [[[1, 7], [2, 8], [3, 1], [4, 2], [6, 2]], 794193333667/199720650040934400], [[[1, 7], [2, 8], [3, 1], [4, 2], [8, 1]], 791868397/308210879692800], [[[1, 7], [2, 8], [3, 1], [4, 2], [10, 1]], 17093129/13759414272000], [[[1, 7], [2, 8], [3, 1], [4, 2], [12, 1]], 304596364861/499301625102336000], [[[1, 7], [2, 8], [3, 1], [4, 3], [6, 1]], 17134944049/4160846875852800], [[[1, 7], [2, 8], [3, 1], [5, 1], [6, 2]], 455866157/481579499520000], [[[1, 7], [2, 8], [3, 1], [5, 1], [8, 1]], 25999/76441190400], [[[1, 7], [2, 8], [3, 1], [5, 1], [10, 1]], 10943/13271040000], [[[1, 7], [2, 8], [3, 1], [5, 1], [12, 1]], 8867671/240789749760000], [[[1, 7], [2, 8], [3, 1], [6, 1], [7, 1]], 14085223/37924385587200], [[[1, 7], [2, 8], [3, 1], [6, 1], [9, 1]], 95233123/390079394611200], [[[1, 7], [2, 8], [3, 1], [6, 1], [14, 1]], 2974961/5417769369600], [[[1, 7], [2, 8], [3, 1], [6, 1], [18, 1]], 6765574511/23404763676672000], [[[1, 7], [2, 8], [3, 1], [6, 2], [8, 1]], 1260680131/1040211718963200], [[[1, 7], [2, 8], [3, 1], [6, 2], [10, 1]], 118556113/92876046336000], [[[1, 7], [2, 8], [3, 1], [6, 2], [12, 1]], 33818554031/124825406275584000], [[[1, 7], [2, 8], [3, 1], [8, 1], [10, 1]], 558391/1146617856000], [[[1, 7], [2, 8], [3, 1], [8, 1], [12, 1]], 62897/1284211998720], [[[1, 7], [2, 8], [3, 1], [10, 1], [12, 1]], 11129/191102976000], [[[1, 7], [2, 8], [3, 2], [4, 1], [5, 1]], 2523127/4815794995200], [[[1, 7], [2, 8], [3, 2], [4, 1], [6, 2]], 10459465529/1997206500409344], [[[1, 7], [2, 8], [3, 2], [4, 1], [8, 1]], 372521419/462316319539200], [[[1, 7], [2, 8], [3, 2], [4, 1], [10, 1]], 15412291/24078974976000], [[[1, 7], [2, 8], [3, 2], [4, 1], [12, 1]], 208361513/924632639078400], [[[1, 7], [2, 8], [3, 2], [4, 2], [6, 1]], 651007021/198135565516800], [[[1, 7], [2, 8], [3, 2], [5, 1], [6, 1]], 510817019/650132324352000], [[[1, 7], [2, 8], [3, 2], [6, 1], [8, 1]], 524803793/520105859481600], [[[1, 7], [2, 8], [3, 2], [6, 1], [10, 1]], 25216183/24078974976000], [[[1, 7], [2, 8], [3, 2], [6, 1], [12, 1]], 467275363/2080423437926400], [[[1, 7], [2, 8], [3, 3], [4, 1], [6, 1]], 80651513/65013232435200], [[[1, 7], [2, 8], [4, 1], [5, 1], [6, 2]], 2347963/3439853568000], [[[1, 7], [2, 8], [4, 1], [5, 1], [8, 1]], 255951991/214035333120000], [[[1, 7], [2, 8], [4, 1], [5, 1], [10, 1]], 749669/278691840000], [[[1, 7], [2, 8], [4, 1], [5, 1], [12, 1]], 18233/267544166400], [[[1, 7], [2, 8], [4, 1], [6, 1], [7, 1]], 460843/936404582400], [[[1, 7], [2, 8], [4, 1], [6, 1], [9, 1]], 2128969/7223692492800], [[[1, 7], [2, 8], [4, 1], [6, 1], [14, 1]], 77519/133772083200], [[[1, 7], [2, 8], [4, 1], [6, 1], [18, 1]], 6357817/19263179980800], [[[1, 7], [2, 8], [4, 1], [6, 2], [8, 1]], 14737031/12842119987200], [[[1, 7], [2, 8], [4, 1], [6, 2], [10, 1]], 1108301/1146617856000], [[[1, 7], [2, 8], [4, 1], [6, 2], [12, 1]], 34247329/102736959897600], [[[1, 7], [2, 8], [4, 1], [8, 1], [10, 1]], 5991239/3567255552000], [[[1, 7], [2, 8], [4, 1], [8, 1], [12, 1]], 1247/6794772480], [[[1, 7], [2, 8], [4, 1], [10, 1], [12, 1]], 6191/63700992000], [[[1, 7], [2, 8], [4, 2], [5, 1], [6, 1]], 15885571/13759414272000], [[[1, 7], [2, 8], [4, 2], [6, 1], [8, 1]], 980180857/308210879692800], [[[1, 7], [2, 8], [4, 2], [6, 1], [10, 1]], 106694263/64210599936000], [[[1, 7], [2, 8], [4, 2], [6, 1], [12, 1]], 1579185683/2080423437926400], [[[1, 7], [2, 8], [5, 1], [6, 1], [8, 1]], 3454967/8026324992000], [[[1, 7], [2, 8], [5, 1], [6, 1], [10, 1]], 148259/139345920000], [[[1, 7], [2, 8], [5, 1], [6, 1], [12, 1]], 22417/445906944000], [[[1, 7], [2, 8], [6, 1], [8, 1], [10, 1]], 143/248832000], [[[1, 7], [2, 8], [6, 1], [8, 1], [12, 1]], 1781/30576476160], [[[1, 7], [2, 8], [6, 1], [10, 1], [12, 1]], 240599/4013162496000], [[[1, 7], [2, 10], [3, 1], [4, 1], [5, 1]], 38901361/1083553873920000], [[[1, 7], [2, 10], [3, 1], [4, 1], [6, 2]], 400693277/1300264648704000], [[[1, 7], [2, 10], [3, 1], [4, 1], [8, 1]], 539868863/7925422620672000], [[[1, 7], [2, 10], [3, 1], [4, 1], [10, 1]], 1661709691/17336861982720000], [[[1, 7], [2, 10], [3, 1], [4, 1], [12, 1]], 13556929/1486016741376000], [[[1, 7], [2, 10], [3, 1], [4, 2], [6, 1]], 181510823161/499301625102336000], [[[1, 7], [2, 10], [3, 1], [5, 1], [6, 1]], 1586881/38526359961600], [[[1, 7], [2, 10], [3, 1], [6, 1], [8, 1]], 1423335377/20804234379264000], [[[1, 7], [2, 10], [3, 1], [6, 1], [10, 1]], 1423090217/13002646487040000], [[[1, 7], [2, 10], [3, 1], [6, 1], [12, 1]], 421783927/62412703137792000], [[[1, 7], [2, 10], [3, 2], [4, 1], [6, 1]], 80759337803/499301625102336000], [[[1, 7], [2, 10], [4, 1], [5, 1], [6, 1]], 70526041/963158999040000], [[[1, 7], [2, 10], [4, 1], [6, 1], [8, 1]], 2549722663/18492652781568000], [[[1, 7], [2, 10], [4, 1], [6, 1], [10, 1]], 206411243/1284211998720000], [[[1, 7], [2, 10], [4, 1], [6, 1], [12, 1]], 17743771/1027369598976000], [[[1, 7], [2, 12], [3, 1], [4, 1], [6, 1]], 49213519/6657355001364480], [[[1, 7], [3, 1], [4, 2], [5, 1], [6, 4]], 13/1719926784000], [[[1, 7], [3, 1], [4, 2], [5, 1], [8, 2]], 553/2123366400], [[[1, 7], [3, 1], [4, 2], [5, 1], [10, 2]], 13/6635520000], [[[1, 7], [3, 1], [4, 2], [5, 1], [12, 2]], 47/1061683200], [[[1, 7], [3, 1], [4, 2], [5, 1], [15, 1]], 13/331776000], [[[1, 7], [3, 1], [4, 2], [5, 1], [20, 1]], 13/221184000], [[[1, 7], [3, 1], [4, 2], [5, 1], [24, 1]], 13/265420800], [[[1, 7], [3, 1], [4, 2], [5, 1], [30, 1]], 13/331776000], [[[1, 7], [3, 1], [4, 2], [5, 2], [6, 2]], 1/19110297600], [[[1, 7], [3, 1], [4, 2], [5, 2], [12, 1]], 41623/429981696000], [[[1, 7], [3, 1], [4, 2], [6, 2], [8, 2]], 109/6115295232], [[[1, 7], [3, 1], [4, 2], [6, 2], [10, 2]], 1/19110297600], [[[1, 7], [3, 1], [4, 2], [6, 2], [12, 2]], 347/412782428160], [[[1, 7], [3, 1], [4, 2], [6, 2], [15, 1]], 1/955514880], [[[1, 7], [3, 1], [4, 2], [6, 2], [20, 1]], 1/637009920], [[[1, 7], [3, 1], [4, 2], [6, 2], [24, 1]], 1/764411904], [[[1, 7], [3, 1], [4, 2], [6, 2], [30, 1]], 1/955514880], [[[1, 7], [3, 1], [4, 2], [6, 3], [18, 1]], 1/1719926784], [[[1, 7], [3, 1], [4, 2], [6, 4], [12, 1]], 12301/111451255603200], [[[1, 7], [3, 1], [4, 2], [7, 1], [9, 1]], 17/55738368], [[[1, 7], [3, 1], [4, 2], [8, 1], [16, 1]], 1/159252480], [[[1, 7], [3, 1], [4, 2], [8, 2], [12, 1]], 14923/137594142720], [[[1, 7], [3, 1], [4, 2], [10, 2], [12, 1]], 151/429981696000], [[[1, 7], [3, 1], [4, 2], [12, 1], [15, 1]], 151/21499084800], [[[1, 7], [3, 1], [4, 2], [12, 1], [20, 1]], 343/14332723200], [[[1, 7], [3, 1], [4, 2], [12, 1], [24, 1]], 247/17199267840], [[[1, 7], [3, 1], [4, 2], [12, 1], [30, 1]], 151/21499084800], [[[1, 7], [3, 1], [4, 3], [7, 1], [8, 1]], 1/4128768], [[[1, 7], [3, 1], [4, 3], [8, 1], [9, 1]], 17/254803968], [[[1, 7], [3, 1], [4, 4], [5, 1], [6, 2]], 1/95551488000], [[[1, 7], [3, 1], [4, 4], [5, 1], [12, 1]], 29/1769472000], [[[1, 7], [3, 1], [4, 4], [6, 1], [18, 1]], 1351/1547934105600], [[[1, 7], [3, 1], [4, 4], [6, 2], [12, 1]], 4951/8255648563200], [[[1, 7], [3, 1], [5, 1], [6, 2], [8, 2]], 1/398131200], [[[1, 7], [3, 1], [5, 1], [6, 2], [10, 2]], 1/1244160000], [[[1, 7], [3, 1], [5, 1], [6, 2], [12, 2]], 7/597196800], [[[1, 7], [3, 1], [5, 1], [6, 2], [15, 1]], 1/62208000], [[[1, 7], [3, 1], [5, 1], [6, 2], [20, 1]], 1/41472000], [[[1, 7], [3, 1], [5, 1], [6, 2], [24, 1]], 1/49766400], [[[1, 7], [3, 1], [5, 1], [6, 2], [30, 1]], 1/62208000], [[[1, 7], [3, 1], [5, 1], [6, 3], [18, 1]], 1/111974400], [[[1, 7], [3, 1], [5, 1], [6, 4], [12, 1]], 91/53747712000], [[[1, 7], [3, 1], [5, 1], [7, 1], [9, 1]], 11/3628800], [[[1, 7], [3, 1], [5, 1], [8, 2], [12, 1]], 1/66355200], [[[1, 7], [3, 1], [5, 1], [10, 2], [12, 1]], 1/207360000], [[[1, 7], [3, 1], [5, 1], [12, 1], [15, 1]], 1/10368000], [[[1, 7], [3, 1], [5, 1], [12, 1], [20, 1]], 1/6912000], [[[1, 7], [3, 1], [5, 1], [12, 1], [24, 1]], 1/8294400], [[[1, 7], [3, 1], [5, 1], [12, 1], [30, 1]], 1/10368000], [[[1, 7], [3, 1], [5, 2], [6, 1], [18, 1]], 2593/20155392000], [[[1, 7], [3, 1], [5, 2], [6, 2], [12, 1]], 2593/107495424000], [[[1, 7], [3, 1], [6, 1], [8, 2], [18, 1]], 1/6449725440], [[[1, 7], [3, 1], [6, 1], [10, 2], [18, 1]], 1/20155392000], [[[1, 7], [3, 1], [6, 1], [12, 2], [18, 1]], 1/9674588160], [[[1, 7], [3, 1], [6, 1], [15, 1], [18, 1]], 1/1007769600], [[[1, 7], [3, 1], [6, 1], [18, 1], [20, 1]], 1/671846400], [[[1, 7], [3, 1], [6, 1], [18, 1], [24, 1]], 1/806215680], [[[1, 7], [3, 1], [6, 1], [18, 1], [30, 1]], 1/1007769600], [[[1, 7], [3, 1], [6, 2], [7, 1], [9, 1]], 1/5225472], [[[1, 7], [3, 1], [6, 2], [8, 2], [12, 1]], 1/34398535680], [[[1, 7], [3, 1], [6, 2], [10, 2], [12, 1]], 1/107495424000], [[[1, 7], [3, 1], [6, 2], [12, 1], [15, 1]], 1/5374771200], [[[1, 7], [3, 1], [6, 2], [12, 1], [20, 1]], 1/3583180800], [[[1, 7], [3, 1], [6, 2], [12, 1], [24, 1]], 1/4299816960], [[[1, 7], [3, 1], [6, 2], [12, 1], [30, 1]], 1/5374771200], [[[1, 7], [3, 1], [6, 3], [12, 1], [18, 1]], 1/9674588160], [[[1, 7], [3, 1], [7, 1], [9, 1], [12, 1]], 1/870912], [[[1, 7], [3, 2], [4, 1], [5, 2], [8, 1]], 217/398131200], [[[1, 7], [3, 2], [4, 1], [6, 4], [8, 1]], 271/103195607040], [[[1, 7], [3, 2], [4, 1], [8, 1], [10, 2]], 1/398131200], [[[1, 7], [3, 2], [4, 1], [8, 1], [12, 2]], 19/191102976], [[[1, 7], [3, 2], [4, 1], [8, 1], [15, 1]], 1/19906560], [[[1, 7], [3, 2], [4, 1], [8, 1], [20, 1]], 1/13271040], [[[1, 7], [3, 2], [4, 1], [8, 1], [24, 1]], 1/15925248], [[[1, 7], [3, 2], [4, 1], [8, 1], [30, 1]], 1/19906560], [[[1, 7], [3, 2], [4, 2], [5, 1], [7, 1]], 1/1935360], [[[1, 7], [3, 2], [4, 2], [5, 1], [9, 1]], 31/199065600], [[[1, 7], [3, 2], [4, 2], [6, 2], [7, 1]], 65/1783627776], [[[1, 7], [3, 2], [4, 2], [6, 2], [9, 1]], 23/2293235712], [[[1, 7], [3, 2], [4, 2], [7, 1], [12, 1]], 841/2675441664], [[[1, 7], [3, 2], [4, 2], [9, 1], [12, 1]], 13219/154793410560], [[[1, 7], [3, 2], [4, 3], [5, 1], [8, 1]], 1/8847360], [[[1, 7], [3, 2], [4, 3], [6, 2], [8, 1]], 65/8153726976], [[[1, 7], [3, 2], [4, 3], [8, 1], [12, 1]], 841/12230590464], [[[1, 7], [3, 2], [5, 1], [6, 2], [7, 1]], 41/116121600], [[[1, 7], [3, 2], [5, 1], [6, 2], [9, 1]], 1/9953280], [[[1, 7], [3, 2], [5, 1], [7, 1], [12, 1]], 41/19353600], [[[1, 7], [3, 2], [5, 1], [9, 1], [12, 1]], 1/1658880], [[[1, 7], [3, 2], [6, 1], [7, 1], [18, 1]], 1/7838208], [[[1, 7], [3, 2], [6, 1], [9, 1], [18, 1]], 11/226748160], [[[1, 7], [3, 2], [6, 2], [7, 1], [12, 1]], 1/5971968], [[[1, 7], [3, 2], [6, 2], [9, 1], [12, 1]], 421/9674588160], [[[1, 7], [3, 3], [4, 1], [7, 1], [8, 1]], 1/55738368], [[[1, 7], [3, 3], [4, 1], [8, 1], [9, 1]], 7/214990848], [[[1, 7], [3, 3], [4, 2], [5, 1], [6, 2]], 37/2123366400], [[[1, 7], [3, 3], [4, 2], [5, 1], [12, 1]], 2579/17199267840], [[[1, 7], [3, 3], [4, 2], [6, 1], [18, 1]], 97/15479341056], [[[1, 7], [3, 3], [4, 2], [6, 2], [12, 1]], 15373/1238347284480], [[[1, 7], [3, 3], [5, 1], [6, 1], [18, 1]], 61/1007769600], [[[1, 7], [3, 3], [5, 1], [6, 2], [12, 1]], 439/5374771200], [[[1, 7], [3, 3], [6, 1], [12, 1], [18, 1]], 241/9674588160], [[[1, 7], [3, 4], [4, 1], [5, 1], [8, 1]], 401/47775744000], [[[1, 7], [3, 4], [4, 1], [6, 2], [8, 1]], 5/3439853568], [[[1, 7], [3, 4], [4, 1], [8, 1], [12, 1]], 5/573308928], [[[1, 7], [4, 1], [5, 1], [6, 4], [8, 1]], 1/47775744000], [[[1, 7], [4, 1], [5, 1], [8, 1], [10, 2]], 1/184320000], [[[1, 7], [4, 1], [5, 1], [8, 1], [12, 2]], 1/88473600], [[[1, 7], [4, 1], [5, 1], [8, 1], [15, 1]], 1/9216000], [[[1, 7], [4, 1], [5, 1], [8, 1], [20, 1]], 1/6144000], [[[1, 7], [4, 1], [5, 1], [8, 1], [24, 1]], 1/7372800], [[[1, 7], [4, 1], [5, 1], [8, 1], [30, 1]], 1/9216000], [[[1, 7], [4, 1], [7, 1], [8, 1], [9, 1]], 1/774144], [[[1, 7], [4, 2], [5, 1], [7, 1], [12, 1]], 1/4838400], [[[1, 7], [4, 2], [5, 1], [9, 1], [12, 1]], 1/18662400], [[[1, 7], [4, 2], [6, 1], [7, 1], [18, 1]], 1/55738368], [[[1, 7], [4, 2], [6, 1], [9, 1], [18, 1]], 1/214990848], [[[1, 7], [4, 2], [6, 2], [7, 1], [12, 1]], 1/297271296], [[[1, 7], [4, 2], [6, 2], [9, 1], [12, 1]], 1/1146617856], [[[1, 7], [4, 3], [5, 1], [8, 1], [12, 1]], 1/22118400], [[[1, 7], [4, 3], [6, 1], [8, 1], [18, 1]], 1/254803968], [[[1, 7], [4, 3], [6, 2], [8, 1], [12, 1]], 1/1358954496], [[[1, 7], [5, 1], [6, 1], [7, 1], [18, 1]], 1/3628800], [[[1, 7], [5, 1], [6, 1], [9, 1], [18, 1]], 1/13996800], [[[1, 7], [5, 1], [6, 2], [7, 1], [12, 1]], 1/19353600], [[[1, 7], [5, 1], [6, 2], [9, 1], [12, 1]], 1/74649600], [[[1, 8], [2, 1], [3, 1], [4, 1], [5, 3]], 5321/29859840000], [[[1, 8], [2, 1], [3, 1], [4, 1], [6, 6]], 1/4127824281600], [[[1, 8], [2, 1], [3, 1], [4, 1], [7, 2]], 1/602112], [[[1, 8], [2, 1], [3, 1], [4, 1], [8, 3]], 7/1698693120], [[[1, 8], [2, 1], [3, 1], [4, 1], [9, 2]], 7/59719680], [[[1, 8], [2, 1], [3, 1], [4, 1], [10, 3]], 1/14929920000], [[[1, 8], [2, 1], [3, 1], [4, 1], [12, 3]], 137/103195607040], [[[1, 8], [2, 1], [3, 1], [4, 1], [28, 1]], 1/34836480], [[[1, 8], [2, 1], [3, 1], [4, 1], [36, 1]], 1/44789760], [[[1, 8], [2, 1], [3, 1], [4, 2], [6, 5]], 11/825564856320], [[[1, 8], [2, 1], [3, 1], [4, 3], [5, 2]], 22223/573308928000], [[[1, 8], [2, 1], [3, 1], [4, 3], [6, 4]], 191/148601674137600], [[[1, 8], [2, 1], [3, 1], [4, 3], [8, 2]], 18917/183458856960], [[[1, 8], [2, 1], [3, 1], [4, 3], [10, 2]], 191/573308928000], [[[1, 8], [2, 1], [3, 1], [4, 3], [12, 2]], 3983/275188285440], [[[1, 8], [2, 1], [3, 1], [4, 3], [15, 1]], 191/28665446400], [[[1, 8], [2, 1], [3, 1], [4, 3], [16, 1]], 1/477757440], [[[1, 8], [2, 1], [3, 1], [4, 3], [20, 1]], 319/19110297600], [[[1, 8], [2, 1], [3, 1], [4, 3], [24, 1]], 191/22932357120], [[[1, 8], [2, 1], [3, 1], [4, 3], [30, 1]], 191/28665446400], [[[1, 8], [2, 1], [3, 1], [4, 4], [6, 3]], 1351/74300837068800], [[[1, 8], [2, 1], [3, 1], [4, 4], [7, 1]], 9469/401316249600], [[[1, 8], [2, 1], [3, 1], [4, 4], [9, 1]], 25418171/3467372396544000], [[[1, 8], [2, 1], [3, 1], [4, 4], [14, 1]], 193/114661785600], [[[1, 8], [2, 1], [3, 1], [4, 4], [18, 1]], 1351/1031956070400], [[[1, 8], [2, 1], [3, 1], [4, 5], [5, 1]], 6347/2293235712000], [[[1, 8], [2, 1], [3, 1], [4, 5], [6, 2]], 17/407686348800], [[[1, 8], [2, 1], [3, 1], [4, 5], [8, 1]], 31289/3669177139200], [[[1, 8], [2, 1], [3, 1], [4, 5], [10, 1]], 1351/1146617856000], [[[1, 8], [2, 1], [3, 1], [4, 5], [12, 1]], 27977/5503765708800], [[[1, 8], [2, 1], [3, 1], [4, 6], [6, 1]], 1/244611809280], [[[1, 8], [2, 1], [3, 1], [5, 1], [6, 5]], 11/53747712000], [[[1, 8], [2, 1], [3, 1], [5, 2], [6, 3]], 2593/967458816000], [[[1, 8], [2, 1], [3, 1], [5, 2], [7, 1]], 16867/5225472000], [[[1, 8], [2, 1], [3, 1], [5, 2], [9, 1]], 46638713/45148078080000], [[[1, 8], [2, 1], [3, 1], [5, 2], [14, 1]], 2593/10450944000], [[[1, 8], [2, 1], [3, 1], [5, 2], [18, 1]], 2593/13436928000], [[[1, 8], [2, 1], [3, 1], [5, 3], [6, 1]], 1/207360000], [[[1, 8], [2, 1], [3, 1], [6, 1], [7, 2]], 1/451584], [[[1, 8], [2, 1], [3, 1], [6, 1], [8, 3]], 1/5733089280], [[[1, 8], [2, 1], [3, 1], [6, 1], [9, 2]], 1/6718464], [[[1, 8], [2, 1], [3, 1], [6, 1], [10, 3]], 1/22394880000], [[[1, 8], [2, 1], [3, 1], [6, 1], [12, 3]], 1/8599633920], [[[1, 8], [2, 1], [3, 1], [6, 1], [18, 2]], 1/1209323520], [[[1, 8], [2, 1], [3, 1], [6, 3], [8, 2]], 1/309586821120], [[[1, 8], [2, 1], [3, 1], [6, 3], [10, 2]], 1/967458816000], [[[1, 8], [2, 1], [3, 1], [6, 3], [12, 2]], 11/92876046336], [[[1, 8], [2, 1], [3, 1], [6, 3], [15, 1]], 1/48372940800], [[[1, 8], [2, 1], [3, 1], [6, 3], [20, 1]], 1/32248627200], [[[1, 8], [2, 1], [3, 1], [6, 3], [24, 1]], 1/38698352640], [[[1, 8], [2, 1], [3, 1], [6, 3], [30, 1]], 1/48372940800], [[[1, 8], [2, 1], [3, 1], [6, 4], [7, 1]], 19/1354442342400], [[[1, 8], [2, 1], [3, 1], [6, 4], [9, 1]], 44921/11702381838336000], [[[1, 8], [2, 1], [3, 1], [6, 4], [14, 1]], 1/2708884684800], [[[1, 8], [2, 1], [3, 1], [6, 4], [18, 1]], 41/3482851737600], [[[1, 8], [2, 1], [3, 1], [6, 5], [8, 1]], 1/4643802316800], [[[1, 8], [2, 1], [3, 1], [6, 5], [10, 1]], 1/5804752896000], [[[1, 8], [2, 1], [3, 1], [6, 5], [12, 1]], 11/4643802316800], [[[1, 8], [2, 1], [3, 1], [7, 1], [8, 2]], 19/1672151040], [[[1, 8], [2, 1], [3, 1], [7, 1], [10, 2]], 19/5225472000], [[[1, 8], [2, 1], [3, 1], [7, 1], [12, 2]], 19/2508226560], [[[1, 8], [2, 1], [3, 1], [7, 1], [15, 1]], 19/261273600], [[[1, 8], [2, 1], [3, 1], [7, 1], [20, 1]], 19/174182400], [[[1, 8], [2, 1], [3, 1], [7, 1], [24, 1]], 19/209018880], [[[1, 8], [2, 1], [3, 1], [7, 1], [30, 1]], 19/261273600], [[[1, 8], [2, 1], [3, 1], [8, 2], [9, 1]], 44921/14447384985600], [[[1, 8], [2, 1], [3, 1], [8, 2], [14, 1]], 1/3344302080], [[[1, 8], [2, 1], [3, 1], [8, 2], [18, 1]], 1/4299816960], [[[1, 8], [2, 1], [3, 1], [9, 1], [10, 2]], 44921/45148078080000], [[[1, 8], [2, 1], [3, 1], [9, 1], [12, 2]], 44921/21671077478400], [[[1, 8], [2, 1], [3, 1], [9, 1], [15, 1]], 44921/2257403904000], [[[1, 8], [2, 1], [3, 1], [9, 1], [20, 1]], 44921/1504935936000], [[[1, 8], [2, 1], [3, 1], [9, 1], [24, 1]], 44921/1805923123200], [[[1, 8], [2, 1], [3, 1], [9, 1], [30, 1]], 44921/2257403904000], [[[1, 8], [2, 1], [3, 1], [10, 2], [14, 1]], 1/10450944000], [[[1, 8], [2, 1], [3, 1], [10, 2], [18, 1]], 1/13436928000], [[[1, 8], [2, 1], [3, 1], [12, 2], [14, 1]], 1/5016453120], [[[1, 8], [2, 1], [3, 1], [12, 2], [18, 1]], 1/6449725440], [[[1, 8], [2, 1], [3, 1], [14, 1], [15, 1]], 1/522547200], [[[1, 8], [2, 1], [3, 1], [14, 1], [20, 1]], 1/348364800], [[[1, 8], [2, 1], [3, 1], [14, 1], [24, 1]], 1/418037760], [[[1, 8], [2, 1], [3, 1], [14, 1], [30, 1]], 1/522547200], [[[1, 8], [2, 1], [3, 1], [15, 1], [18, 1]], 1/671846400], [[[1, 8], [2, 1], [3, 1], [18, 1], [20, 1]], 1/447897600], [[[1, 8], [2, 1], [3, 1], [18, 1], [24, 1]], 1/537477120], [[[1, 8], [2, 1], [3, 1], [18, 1], [30, 1]], 1/671846400], [[[1, 8], [2, 1], [3, 2], [4, 1], [6, 5]], 2033/3482851737600], [[[1, 8], [2, 1], [3, 2], [4, 2], [5, 2]], 173449/859963392000], [[[1, 8], [2, 1], [3, 2], [4, 2], [6, 4]], 77383/222902511206400], [[[1, 8], [2, 1], [3, 2], [4, 2], [8, 2]], 44173/275188285440], [[[1, 8], [2, 1], [3, 2], [4, 2], [10, 2]], 433/859963392000], [[[1, 8], [2, 1], [3, 2], [4, 2], [12, 2]], 189577/9631589990400], [[[1, 8], [2, 1], [3, 2], [4, 2], [15, 1]], 433/42998169600], [[[1, 8], [2, 1], [3, 2], [4, 2], [20, 1]], 433/28665446400], [[[1, 8], [2, 1], [3, 2], [4, 2], [24, 1]], 433/34398535680], [[[1, 8], [2, 1], [3, 2], [4, 2], [30, 1]], 433/42998169600], [[[1, 8], [2, 1], [3, 2], [4, 3], [6, 3]], 1/452984832], [[[1, 8], [2, 1], [3, 2], [4, 3], [7, 1]], 19/111476736], [[[1, 8], [2, 1], [3, 2], [4, 3], [9, 1]], 2471/51597803520], [[[1, 8], [2, 1], [3, 2], [4, 4], [5, 1]], 773/42998169600], [[[1, 8], [2, 1], [3, 2], [4, 4], [6, 2]], 98128571/110955916689408000], [[[1, 8], [2, 1], [3, 2], [4, 4], [8, 1]], 27683/687970713600], [[[1, 8], [2, 1], [3, 2], [4, 4], [12, 1]], 58574057/6164217593856000], [[[1, 8], [2, 1], [3, 2], [4, 5], [6, 1]], 2033/1031956070400], [[[1, 8], [2, 1], [3, 2], [5, 1], [6, 4]], 173/36279705600], [[[1, 8], [2, 1], [3, 2], [5, 1], [8, 2]], 7/358318080], [[[1, 8], [2, 1], [3, 2], [5, 1], [10, 2]], 7/1119744000], [[[1, 8], [2, 1], [3, 2], [5, 1], [12, 2]], 247/1343692800], [[[1, 8], [2, 1], [3, 2], [5, 1], [15, 1]], 7/55987200], [[[1, 8], [2, 1], [3, 2], [5, 1], [20, 1]], 7/37324800], [[[1, 8], [2, 1], [3, 2], [5, 1], [24, 1]], 7/44789760], [[[1, 8], [2, 1], [3, 2], [5, 1], [30, 1]], 7/55987200], [[[1, 8], [2, 1], [3, 2], [5, 2], [6, 2]], 177409913/1444738498560000], [[[1, 8], [2, 1], [3, 2], [5, 2], [8, 1]], 731/2239488000], [[[1, 8], [2, 1], [3, 2], [5, 2], [12, 1]], 177409913/240789749760000], [[[1, 8], [2, 1], [3, 2], [6, 2], [8, 2]], 179321/462316319539200], [[[1, 8], [2, 1], [3, 2], [6, 2], [10, 2]], 179321/1444738498560000], [[[1, 8], [2, 1], [3, 2], [6, 2], [12, 2]], 1272671/693474479308800], [[[1, 8], [2, 1], [3, 2], [6, 2], [15, 1]], 179321/72236924928000], [[[1, 8], [2, 1], [3, 2], [6, 2], [20, 1]], 179321/48157949952000], [[[1, 8], [2, 1], [3, 2], [6, 2], [24, 1]], 188033/57789539942400], [[[1, 8], [2, 1], [3, 2], [6, 2], [30, 1]], 179321/72236924928000], [[[1, 8], [2, 1], [3, 2], [6, 3], [7, 1]], 55/376233984], [[[1, 8], [2, 1], [3, 2], [6, 3], [9, 1]], 3301/87071293440], [[[1, 8], [2, 1], [3, 2], [6, 3], [18, 1]], 179321/130026464870400], [[[1, 8], [2, 1], [3, 2], [6, 4], [8, 1]], 2033/2321901158400], [[[1, 8], [2, 1], [3, 2], [6, 4], [12, 1]], 2331173/8916100448256000], [[[1, 8], [2, 1], [3, 2], [7, 1], [9, 1]], 349/470292480], [[[1, 8], [2, 1], [3, 2], [7, 1], [14, 1]], 1/4064256], [[[1, 8], [2, 1], [3, 2], [7, 1], [18, 1]], 1/5225472], [[[1, 8], [2, 1], [3, 2], [8, 1], [10, 2]], 1/1119744000], [[[1, 8], [2, 1], [3, 2], [8, 1], [12, 2]], 143/4299816960], [[[1, 8], [2, 1], [3, 2], [8, 1], [15, 1]], 1/55987200], [[[1, 8], [2, 1], [3, 2], [8, 1], [20, 1]], 1/37324800], [[[1, 8], [2, 1], [3, 2], [8, 1], [24, 1]], 1/44789760], [[[1, 8], [2, 1], [3, 2], [8, 1], [30, 1]], 1/55987200], [[[1, 8], [2, 1], [3, 2], [8, 2], [12, 1]], 179321/77052719923200], [[[1, 8], [2, 1], [3, 2], [9, 1], [14, 1]], 61/940584960], [[[1, 8], [2, 1], [3, 2], [9, 1], [18, 1]], 61/1209323520], [[[1, 8], [2, 1], [3, 2], [10, 2], [12, 1]], 179321/240789749760000], [[[1, 8], [2, 1], [3, 2], [12, 1], [15, 1]], 179321/12039487488000], [[[1, 8], [2, 1], [3, 2], [12, 1], [20, 1]], 179321/8026324992000], [[[1, 8], [2, 1], [3, 2], [12, 1], [24, 1]], 179321/9631589990400], [[[1, 8], [2, 1], [3, 2], [12, 1], [30, 1]], 179321/12039487488000], [[[1, 8], [2, 1], [3, 3], [4, 1], [5, 2]], 63793/143327232000], [[[1, 8], [2, 1], [3, 3], [4, 1], [6, 4]], 65851/37150418534400], [[[1, 8], [2, 1], [3, 3], [4, 1], [8, 2]], 1741/45864714240], [[[1, 8], [2, 1], [3, 3], [4, 1], [10, 2]], 241/143327232000], [[[1, 8], [2, 1], [3, 3], [4, 1], [12, 2]], 8471/68797071360], [[[1, 8], [2, 1], [3, 3], [4, 1], [15, 1]], 241/7166361600], [[[1, 8], [2, 1], [3, 3], [4, 1], [20, 1]], 241/4777574400], [[[1, 8], [2, 1], [3, 3], [4, 1], [24, 1]], 241/5733089280], [[[1, 8], [2, 1], [3, 3], [4, 1], [30, 1]], 241/7166361600], [[[1, 8], [2, 1], [3, 3], [4, 2], [6, 3]], 5443/743008370688], [[[1, 8], [2, 1], [3, 3], [4, 2], [7, 1]], 785/8026324992], [[[1, 8], [2, 1], [3, 3], [4, 2], [9, 1]], 5761/154793410560], [[[1, 8], [2, 1], [3, 3], [4, 2], [14, 1]], 97/8026324992], [[[1, 8], [2, 1], [3, 3], [4, 2], [18, 1]], 97/10319560704], [[[1, 8], [2, 1], [3, 3], [4, 3], [5, 1]], 187/2123366400], [[[1, 8], [2, 1], [3, 3], [4, 3], [6, 2]], 9311/1651129712640], [[[1, 8], [2, 1], [3, 3], [4, 3], [8, 1]], 829/18345885696], [[[1, 8], [2, 1], [3, 3], [4, 3], [10, 1]], 97/11466178560], [[[1, 8], [2, 1], [3, 3], [4, 3], [12, 1]], 17047/275188285440], [[[1, 8], [2, 1], [3, 3], [4, 4], [6, 1]], 44791/8255648563200], [[[1, 8], [2, 1], [3, 3], [5, 1], [6, 3]], 3463/48372940800], [[[1, 8], [2, 1], [3, 3], [5, 1], [7, 1]], 37/34836480], [[[1, 8], [2, 1], [3, 3], [5, 1], [9, 1]], 817/2015539200], [[[1, 8], [2, 1], [3, 3], [5, 1], [14, 1]], 61/522547200], [[[1, 8], [2, 1], [3, 3], [5, 1], [18, 1]], 61/671846400], [[[1, 8], [2, 1], [3, 3], [5, 2], [6, 1]], 54673/107495424000], [[[1, 8], [2, 1], [3, 3], [6, 1], [8, 2]], 241/34398535680], [[[1, 8], [2, 1], [3, 3], [6, 1], [10, 2]], 241/107495424000], [[[1, 8], [2, 1], [3, 3], [6, 1], [12, 2]], 6007/51597803520], [[[1, 8], [2, 1], [3, 3], [6, 1], [15, 1]], 241/5374771200], [[[1, 8], [2, 1], [3, 3], [6, 1], [20, 1]], 241/3583180800], [[[1, 8], [2, 1], [3, 3], [6, 1], [24, 1]], 241/4299816960], [[[1, 8], [2, 1], [3, 3], [6, 1], [30, 1]], 241/5374771200], [[[1, 8], [2, 1], [3, 3], [6, 2], [7, 1]], 1339/15049359360], [[[1, 8], [2, 1], [3, 3], [6, 2], [9, 1]], 137723/4815794995200], [[[1, 8], [2, 1], [3, 3], [6, 2], [14, 1]], 241/30098718720], [[[1, 8], [2, 1], [3, 3], [6, 2], [18, 1]], 241/7739670528], [[[1, 8], [2, 1], [3, 3], [6, 3], [8, 1]], 241/51597803520], [[[1, 8], [2, 1], [3, 3], [6, 3], [10, 1]], 241/64497254400], [[[1, 8], [2, 1], [3, 3], [6, 3], [12, 1]], 17539/464380231680], [[[1, 8], [2, 1], [3, 3], [7, 1], [8, 1]], 25/167215104], [[[1, 8], [2, 1], [3, 3], [7, 1], [12, 1]], 1339/2508226560], [[[1, 8], [2, 1], [3, 3], [8, 1], [9, 1]], 157/3224862720], [[[1, 8], [2, 1], [3, 3], [9, 1], [12, 1]], 137723/802632499200], [[[1, 8], [2, 1], [3, 3], [12, 1], [14, 1]], 241/5016453120], [[[1, 8], [2, 1], [3, 3], [12, 1], [18, 1]], 241/6449725440], [[[1, 8], [2, 1], [3, 4], [4, 1], [6, 3]], 29/7739670528], [[[1, 8], [2, 1], [3, 4], [4, 1], [7, 1]], 1601/133772083200], [[[1, 8], [2, 1], [3, 4], [4, 1], [9, 1]], 1249/57330892800], [[[1, 8], [2, 1], [3, 4], [4, 2], [5, 1]], 35887/764411904000], [[[1, 8], [2, 1], [3, 4], [4, 2], [6, 2]], 10223/2476694568960], [[[1, 8], [2, 1], [3, 4], [4, 2], [8, 1]], 36541/3669177139200], [[[1, 8], [2, 1], [3, 4], [4, 2], [12, 1]], 493053521/15603175784448000], [[[1, 8], [2, 1], [3, 4], [4, 3], [6, 1]], 5387/1100753141760], [[[1, 8], [2, 1], [3, 4], [5, 1], [6, 2]], 89/2015539200], [[[1, 8], [2, 1], [3, 4], [5, 1], [8, 1]], 1129/15925248000], [[[1, 8], [2, 1], [3, 4], [5, 1], [12, 1]], 89/335923200], [[[1, 8], [2, 1], [3, 4], [6, 1], [7, 1]], 5/125411328], [[[1, 8], [2, 1], [3, 4], [6, 1], [9, 1]], 341/9674588160], [[[1, 8], [2, 1], [3, 4], [6, 1], [18, 1]], 106624121/11702381838336000], [[[1, 8], [2, 1], [3, 4], [6, 2], [8, 1]], 133/25798901760], [[[1, 8], [2, 1], [3, 4], [6, 2], [12, 1]], 199553573/8916100448256000], [[[1, 8], [2, 1], [3, 4], [8, 1], [12, 1]], 133/4299816960], [[[1, 8], [2, 1], [3, 5], [4, 1], [5, 1]], 48137/7739670528000], [[[1, 8], [2, 1], [3, 5], [4, 1], [6, 2]], 1337/1375941427200], [[[1, 8], [2, 1], [3, 5], [4, 1], [8, 1]], 48047/12383472844800], [[[1, 8], [2, 1], [3, 5], [4, 1], [10, 1]], 2401/3869835264000], [[[1, 8], [2, 1], [3, 5], [4, 1], [12, 1]], 25501/3715041853440], [[[1, 8], [2, 1], [3, 5], [4, 2], [6, 1]], 179/91729428480], [[[1, 8], [2, 1], [3, 5], [5, 1], [6, 1]], 337/17915904000], [[[1, 8], [2, 1], [3, 5], [6, 1], [8, 1]], 2401/4643802316800], [[[1, 8], [2, 1], [3, 5], [6, 1], [10, 1]], 2401/5804752896000], [[[1, 8], [2, 1], [3, 5], [6, 1], [12, 1]], 60091/4643802316800], [[[1, 8], [2, 1], [3, 6], [4, 1], [6, 1]], 137/386983526400], [[[1, 8], [2, 1], [4, 1], [5, 1], [6, 5]], 1/214990848000], [[[1, 8], [2, 1], [4, 1], [5, 2], [7, 1]], 193/516096000], [[[1, 8], [2, 1], [4, 1], [5, 2], [9, 1]], 193/1990656000], [[[1, 8], [2, 1], [4, 1], [5, 3], [6, 1]], 1/829440000], [[[1, 8], [2, 1], [4, 1], [6, 1], [7, 2]], 1/1806336], [[[1, 8], [2, 1], [4, 1], [6, 1], [9, 2]], 1/26873856], [[[1, 8], [2, 1], [4, 1], [6, 4], [7, 1]], 1/133772083200], [[[1, 8], [2, 1], [4, 1], [6, 4], [9, 1]], 1/515978035200], [[[1, 8], [2, 1], [4, 1], [7, 1], [8, 2]], 61/165150720], [[[1, 8], [2, 1], [4, 1], [7, 1], [10, 2]], 1/516096000], [[[1, 8], [2, 1], [4, 1], [7, 1], [12, 2]], 1/247726080], [[[1, 8], [2, 1], [4, 1], [7, 1], [15, 1]], 1/25804800], [[[1, 8], [2, 1], [4, 1], [7, 1], [20, 1]], 1/17203200], [[[1, 8], [2, 1], [4, 1], [7, 1], [24, 1]], 1/20643840], [[[1, 8], [2, 1], [4, 1], [7, 1], [30, 1]], 1/25804800], [[[1, 8], [2, 1], [4, 1], [8, 2], [9, 1]], 61/637009920], [[[1, 8], [2, 1], [4, 1], [9, 1], [10, 2]], 1/1990656000], [[[1, 8], [2, 1], [4, 1], [9, 1], [12, 2]], 1/955514880], [[[1, 8], [2, 1], [4, 1], [9, 1], [15, 1]], 1/99532800], [[[1, 8], [2, 1], [4, 1], [9, 1], [20, 1]], 1/66355200], [[[1, 8], [2, 1], [4, 1], [9, 1], [24, 1]], 1/79626240], [[[1, 8], [2, 1], [4, 1], [9, 1], [30, 1]], 1/99532800], [[[1, 8], [2, 1], [4, 2], [5, 1], [6, 4]], 23/6879707136000], [[[1, 8], [2, 1], [4, 2], [5, 1], [8, 2]], 3371/8493465600], [[[1, 8], [2, 1], [4, 2], [5, 1], [10, 2]], 23/26542080000], [[[1, 8], [2, 1], [4, 2], [5, 1], [12, 2]], 23/12740198400], [[[1, 8], [2, 1], [4, 2], [5, 1], [15, 1]], 23/1327104000], [[[1, 8], [2, 1], [4, 2], [5, 1], [20, 1]], 23/884736000], [[[1, 8], [2, 1], [4, 2], [5, 1], [24, 1]], 23/1061683200], [[[1, 8], [2, 1], [4, 2], [5, 1], [30, 1]], 23/1327104000], [[[1, 8], [2, 1], [4, 2], [5, 2], [8, 1]], 3479/42467328000], [[[1, 8], [2, 1], [4, 2], [5, 2], [12, 1]], 3048313/60197437440000], [[[1, 8], [2, 1], [4, 2], [6, 2], [12, 2]], 121/28894769971200], [[[1, 8], [2, 1], [4, 2], [6, 3], [7, 1]], 1/2675441664], [[[1, 8], [2, 1], [4, 2], [6, 3], [9, 1]], 1/10319560704], [[[1, 8], [2, 1], [4, 2], [6, 4], [8, 1]], 23/11007531417600], [[[1, 8], [2, 1], [4, 2], [6, 4], [12, 1]], 121/15603175784448000], [[[1, 8], [2, 1], [4, 2], [7, 1], [9, 1]], 17/111476736], [[[1, 8], [2, 1], [4, 2], [7, 1], [14, 1]], 1/28901376], [[[1, 8], [2, 1], [4, 2], [7, 1], [18, 1]], 1/37158912], [[[1, 8], [2, 1], [4, 2], [8, 1], [10, 2]], 23/42467328000], [[[1, 8], [2, 1], [4, 2], [8, 1], [12, 2]], 23/20384317440], [[[1, 8], [2, 1], [4, 2], [8, 1], [15, 1]], 23/2123366400], [[[1, 8], [2, 1], [4, 2], [8, 1], [16, 1]], 121/356725555200], [[[1, 8], [2, 1], [4, 2], [8, 1], [20, 1]], 23/1415577600], [[[1, 8], [2, 1], [4, 2], [8, 1], [24, 1]], 23/1698693120], [[[1, 8], [2, 1], [4, 2], [8, 1], [30, 1]], 23/2123366400], [[[1, 8], [2, 1], [4, 2], [8, 2], [12, 1]], 1573/19263179980800], [[[1, 8], [2, 1], [4, 2], [9, 1], [14, 1]], 1/111476736], [[[1, 8], [2, 1], [4, 2], [9, 1], [18, 1]], 1/143327232], [[[1, 8], [2, 1], [4, 2], [10, 2], [12, 1]], 121/60197437440000], [[[1, 8], [2, 1], [4, 2], [12, 1], [15, 1]], 121/3009871872000], [[[1, 8], [2, 1], [4, 2], [12, 1], [20, 1]], 1573/2006581248000], [[[1, 8], [2, 1], [4, 2], [12, 1], [24, 1]], 121/343985356800], [[[1, 8], [2, 1], [4, 2], [12, 1], [30, 1]], 121/3009871872000], [[[1, 8], [2, 1], [4, 3], [5, 1], [7, 1]], 1/22937600], [[[1, 8], [2, 1], [4, 3], [5, 1], [9, 1]], 1/88473600], [[[1, 8], [2, 1], [4, 3], [5, 2], [6, 1]], 1/12740198400], [[[1, 8], [2, 1], [4, 3], [6, 1], [8, 2]], 127/4076863488], [[[1, 8], [2, 1], [4, 3], [6, 1], [10, 2]], 1/12740198400], [[[1, 8], [2, 1], [4, 3], [6, 1], [12, 2]], 1/6115295232], [[[1, 8], [2, 1], [4, 3], [6, 1], [15, 1]], 1/637009920], [[[1, 8], [2, 1], [4, 3], [6, 1], [20, 1]], 1/424673280], [[[1, 8], [2, 1], [4, 3], [6, 1], [24, 1]], 1/509607936], [[[1, 8], [2, 1], [4, 3], [6, 1], [30, 1]], 1/637009920], [[[1, 8], [2, 1], [4, 3], [6, 2], [18, 1]], 1/1146617856], [[[1, 8], [2, 1], [4, 3], [6, 3], [8, 1]], 1/12230590464], [[[1, 8], [2, 1], [4, 3], [6, 3], [12, 1]], 1/6115295232], [[[1, 8], [2, 1], [4, 3], [7, 1], [8, 1]], 1/5505024], [[[1, 8], [2, 1], [4, 3], [7, 1], [10, 1]], 1/41287680], [[[1, 8], [2, 1], [4, 3], [7, 1], [12, 1]], 1/17694720], [[[1, 8], [2, 1], [4, 3], [8, 1], [9, 1]], 13/254803968], [[[1, 8], [2, 1], [4, 3], [8, 1], [14, 1]], 1/132120576], [[[1, 8], [2, 1], [4, 3], [8, 1], [18, 1]], 1/169869312], [[[1, 8], [2, 1], [4, 3], [9, 1], [10, 1]], 1/159252480], [[[1, 8], [2, 1], [4, 3], [9, 1], [12, 1]], 7/477757440], [[[1, 8], [2, 1], [4, 4], [5, 1], [8, 1]], 203/21233664000], [[[1, 8], [2, 1], [4, 4], [5, 1], [12, 1]], 23/3185049600], [[[1, 8], [2, 1], [4, 4], [6, 1], [18, 1]], 1181371/3467372396544000], [[[1, 8], [2, 1], [4, 4], [6, 2], [12, 1]], 1181371/18492652781568000], [[[1, 8], [2, 1], [4, 4], [8, 1], [10, 1]], 1/188743680], [[[1, 8], [2, 1], [4, 4], [8, 1], [12, 1]], 17/1274019840], [[[1, 8], [2, 1], [4, 5], [5, 1], [6, 1]], 1/63700992000], [[[1, 8], [2, 1], [4, 5], [6, 1], [12, 1]], 1/1528823808], [[[1, 8], [2, 1], [5, 1], [6, 3], [7, 1]], 1/174182400], [[[1, 8], [2, 1], [5, 1], [6, 3], [9, 1]], 1/671846400], [[[1, 8], [2, 1], [5, 1], [6, 4], [8, 1]], 1/143327232000], [[[1, 8], [2, 1], [5, 1], [7, 1], [9, 1]], 1/483840], [[[1, 8], [2, 1], [5, 1], [7, 1], [14, 1]], 1/1881600], [[[1, 8], [2, 1], [5, 1], [7, 1], [18, 1]], 1/2419200], [[[1, 8], [2, 1], [5, 1], [8, 1], [10, 2]], 1/552960000], [[[1, 8], [2, 1], [5, 1], [8, 1], [12, 2]], 1/265420800], [[[1, 8], [2, 1], [5, 1], [8, 1], [15, 1]], 1/27648000], [[[1, 8], [2, 1], [5, 1], [8, 1], [20, 1]], 1/18432000], [[[1, 8], [2, 1], [5, 1], [8, 1], [24, 1]], 1/22118400], [[[1, 8], [2, 1], [5, 1], [8, 1], [30, 1]], 1/27648000], [[[1, 8], [2, 1], [5, 1], [9, 1], [14, 1]], 1/7257600], [[[1, 8], [2, 1], [5, 1], [9, 1], [18, 1]], 1/9331200], [[[1, 8], [2, 1], [5, 2], [6, 1], [18, 1]], 3048313/45148078080000], [[[1, 8], [2, 1], [5, 2], [6, 2], [12, 1]], 3048313/240789749760000], [[[1, 8], [2, 1], [6, 1], [8, 2], [18, 1]], 121/14447384985600], [[[1, 8], [2, 1], [6, 1], [10, 2], [18, 1]], 121/45148078080000], [[[1, 8], [2, 1], [6, 1], [12, 2], [18, 1]], 121/21671077478400], [[[1, 8], [2, 1], [6, 1], [15, 1], [18, 1]], 121/2257403904000], [[[1, 8], [2, 1], [6, 1], [18, 1], [20, 1]], 121/1504935936000], [[[1, 8], [2, 1], [6, 1], [18, 1], [24, 1]], 121/1805923123200], [[[1, 8], [2, 1], [6, 1], [18, 1], [30, 1]], 121/2257403904000], [[[1, 8], [2, 1], [6, 2], [8, 2], [12, 1]], 121/77052719923200], [[[1, 8], [2, 1], [6, 2], [10, 2], [12, 1]], 121/240789749760000], [[[1, 8], [2, 1], [6, 2], [12, 1], [15, 1]], 121/12039487488000], [[[1, 8], [2, 1], [6, 2], [12, 1], [20, 1]], 121/8026324992000], [[[1, 8], [2, 1], [6, 2], [12, 1], [24, 1]], 121/9631589990400], [[[1, 8], [2, 1], [6, 2], [12, 1], [30, 1]], 121/12039487488000], [[[1, 8], [2, 1], [6, 3], [12, 1], [18, 1]], 121/21671077478400], [[[1, 8], [2, 1], [7, 1], [8, 1], [9, 1]], 1/2322432], [[[1, 8], [2, 3], [3, 1], [4, 1], [6, 5]], 1616603/260052929740800], [[[1, 8], [2, 3], [3, 1], [4, 2], [5, 2]], 2378963/1146617856000], [[[1, 8], [2, 3], [3, 1], [4, 2], [6, 4]], 5655859/297203348275200], [[[1, 8], [2, 3], [3, 1], [4, 2], [8, 2]], 752159/366917713920], [[[1, 8], [2, 3], [3, 1], [4, 2], [10, 2]], 30611/1146617856000], [[[1, 8], [2, 3], [3, 1], [4, 2], [12, 2]], 1546949/3852635996160], [[[1, 8], [2, 3], [3, 1], [4, 2], [15, 1]], 9299/57330892800], [[[1, 8], [2, 3], [3, 1], [4, 2], [16, 1]], 37/79626240], [[[1, 8], [2, 3], [3, 1], [4, 2], [20, 1]], 23507/38220595200], [[[1, 8], [2, 3], [3, 1], [4, 2], [24, 1]], 9299/45864714240], [[[1, 8], [2, 3], [3, 1], [4, 2], [30, 1]], 9299/57330892800], [[[1, 8], [2, 3], [3, 1], [4, 3], [6, 3]], 131953/3715041853440], [[[1, 8], [2, 3], [3, 1], [4, 3], [7, 1]], 3539/2675441664], [[[1, 8], [2, 3], [3, 1], [4, 3], [9, 1]], 406387/963158999040], [[[1, 8], [2, 3], [3, 1], [4, 3], [14, 1]], 107/836075520], [[[1, 8], [2, 3], [3, 1], [4, 3], [18, 1]], 989/10319560704], [[[1, 8], [2, 3], [3, 1], [4, 4], [5, 1]], 2991413/10701766656000], [[[1, 8], [2, 3], [3, 1], [4, 4], [6, 2]], 3191837/69347447930880], [[[1, 8], [2, 3], [3, 1], [4, 4], [8, 1]], 94910171/154105439846400], [[[1, 8], [2, 3], [3, 1], [4, 4], [10, 1]], 637403/6879707136000], [[[1, 8], [2, 3], [3, 1], [4, 4], [12, 1]], 5227501/19263179980800], [[[1, 8], [2, 3], [3, 1], [4, 5], [6, 1]], 1620671/25684239974400], [[[1, 8], [2, 3], [3, 1], [5, 1], [6, 4]], 56429/1337720832000], [[[1, 8], [2, 3], [3, 1], [5, 1], [8, 2]], 4031/4954521600], [[[1, 8], [2, 3], [3, 1], [5, 1], [10, 2]], 167/15482880000], [[[1, 8], [2, 3], [3, 1], [5, 1], [12, 2]], 167/7431782400], [[[1, 8], [2, 3], [3, 1], [5, 1], [15, 1]], 167/774144000], [[[1, 8], [2, 3], [3, 1], [5, 1], [20, 1]], 167/516096000], [[[1, 8], [2, 3], [3, 1], [5, 1], [24, 1]], 167/619315200], [[[1, 8], [2, 3], [3, 1], [5, 1], [30, 1]], 167/774144000], [[[1, 8], [2, 3], [3, 1], [5, 2], [6, 2]], 87319/180592312320], [[[1, 8], [2, 3], [3, 1], [5, 2], [8, 1]], 5051633/2006581248000], [[[1, 8], [2, 3], [3, 1], [5, 2], [10, 1]], 98609/89579520000], [[[1, 8], [2, 3], [3, 1], [5, 2], [12, 1]], 88741/83607552000], [[[1, 8], [2, 3], [3, 1], [6, 2], [8, 2]], 341863/1444738498560], [[[1, 8], [2, 3], [3, 1], [6, 2], [10, 2]], 45007/4514807808000], [[[1, 8], [2, 3], [3, 1], [6, 2], [12, 2]], 8407/309586821120], [[[1, 8], [2, 3], [3, 1], [6, 2], [15, 1]], 1139/45148078080], [[[1, 8], [2, 3], [3, 1], [6, 2], [20, 1]], 1139/30098718720], [[[1, 8], [2, 3], [3, 1], [6, 2], [24, 1]], 1139/36118462464], [[[1, 8], [2, 3], [3, 1], [6, 2], [30, 1]], 1139/45148078080], [[[1, 8], [2, 3], [3, 1], [6, 3], [7, 1]], 2071/4232632320], [[[1, 8], [2, 3], [3, 1], [6, 3], [9, 1]], 75394541/585119091916800], [[[1, 8], [2, 3], [3, 1], [6, 3], [14, 1]], 13/3386105856], [[[1, 8], [2, 3], [3, 1], [6, 3], [18, 1]], 20711/1218998108160], [[[1, 8], [2, 3], [3, 1], [6, 4], [8, 1]], 5701681/520105859481600], [[[1, 8], [2, 3], [3, 1], [6, 4], [10, 1]], 41713/23219011584000], [[[1, 8], [2, 3], [3, 1], [6, 4], [12, 1]], 46943/9287604633600], [[[1, 8], [2, 3], [3, 1], [7, 1], [9, 1]], 20399/17557585920], [[[1, 8], [2, 3], [3, 1], [7, 1], [14, 1]], 899/487710720], [[[1, 8], [2, 3], [3, 1], [7, 1], [18, 1]], 1067/1881169920], [[[1, 8], [2, 3], [3, 1], [8, 1], [10, 2]], 7601/2006581248000], [[[1, 8], [2, 3], [3, 1], [8, 1], [12, 2]], 7601/963158999040], [[[1, 8], [2, 3], [3, 1], [8, 1], [15, 1]], 7601/100329062400], [[[1, 8], [2, 3], [3, 1], [8, 1], [16, 1]], 37/159252480], [[[1, 8], [2, 3], [3, 1], [8, 1], [20, 1]], 7601/66886041600], [[[1, 8], [2, 3], [3, 1], [8, 1], [24, 1]], 7601/80263249920], [[[1, 8], [2, 3], [3, 1], [8, 1], [30, 1]], 7601/100329062400], [[[1, 8], [2, 3], [3, 1], [8, 2], [10, 1]], 113/28665446400], [[[1, 8], [2, 3], [3, 1], [8, 2], [12, 1]], 5077/26754416640], [[[1, 8], [2, 3], [3, 1], [9, 1], [14, 1]], 515861/2106910310400], [[[1, 8], [2, 3], [3, 1], [9, 1], [18, 1]], 3695501/8126654054400], [[[1, 8], [2, 3], [3, 1], [10, 1], [12, 2]], 113/42998169600], [[[1, 8], [2, 3], [3, 1], [10, 1], [15, 1]], 113/4478976000], [[[1, 8], [2, 3], [3, 1], [10, 1], [20, 1]], 113/2985984000], [[[1, 8], [2, 3], [3, 1], [10, 1], [24, 1]], 113/3583180800], [[[1, 8], [2, 3], [3, 1], [10, 1], [30, 1]], 113/4478976000], [[[1, 8], [2, 3], [3, 1], [10, 2], [12, 1]], 37/83607552000], [[[1, 8], [2, 3], [3, 1], [12, 1], [15, 1]], 37/4180377600], [[[1, 8], [2, 3], [3, 1], [12, 1], [20, 1]], 37/2786918400], [[[1, 8], [2, 3], [3, 1], [12, 1], [24, 1]], 37/3344302080], [[[1, 8], [2, 3], [3, 1], [12, 1], [30, 1]], 37/4180377600], [[[1, 8], [2, 3], [3, 1], [14, 1], [18, 1]], 23/376233984], [[[1, 8], [2, 3], [3, 2], [4, 1], [5, 2]], 1459727/429981696000], [[[1, 8], [2, 3], [3, 2], [4, 1], [6, 4]], 13742887/111451255603200], [[[1, 8], [2, 3], [3, 2], [4, 1], [8, 2]], 159731/137594142720], [[[1, 8], [2, 3], [3, 2], [4, 1], [10, 2]], 30167/429981696000], [[[1, 8], [2, 3], [3, 2], [4, 1], [12, 2]], 34883/90296156160], [[[1, 8], [2, 3], [3, 2], [4, 1], [15, 1]], 4247/21499084800], [[[1, 8], [2, 3], [3, 2], [4, 1], [16, 1]], 1/3981312], [[[1, 8], [2, 3], [3, 2], [4, 1], [20, 1]], 4247/14332723200], [[[1, 8], [2, 3], [3, 2], [4, 1], [24, 1]], 4247/17199267840], [[[1, 8], [2, 3], [3, 2], [4, 1], [30, 1]], 4247/21499084800], [[[1, 8], [2, 3], [3, 2], [4, 2], [6, 3]], 3133086079/12482540627558400], [[[1, 8], [2, 3], [3, 2], [4, 2], [7, 1]], 803/371589120], [[[1, 8], [2, 3], [3, 2], [4, 2], [9, 1]], 86927/103195607040], [[[1, 8], [2, 3], [3, 2], [4, 2], [14, 1]], 3823/10032906240], [[[1, 8], [2, 3], [3, 2], [4, 2], [18, 1]], 4501/15479341056], [[[1, 8], [2, 3], [3, 2], [4, 3], [5, 1]], 61673/57330892800], [[[1, 8], [2, 3], [3, 2], [4, 3], [6, 2]], 7442341/18492652781568], [[[1, 8], [2, 3], [3, 2], [4, 3], [8, 1]], 607/339738624], [[[1, 8], [2, 3], [3, 2], [4, 3], [10, 1]], 677/2123366400], [[[1, 8], [2, 3], [3, 2], [4, 3], [12, 1]], 45722443/46231631953920], [[[1, 8], [2, 3], [3, 2], [4, 4], [6, 1]], 12698015671/55477958344704000], [[[1, 8], [2, 3], [3, 2], [5, 1], [6, 3]], 1453159/2321901158400], [[[1, 8], [2, 3], [3, 2], [5, 1], [7, 1]], 3643/1045094400], [[[1, 8], [2, 3], [3, 2], [5, 1], [9, 1]], 56113/37623398400], [[[1, 8], [2, 3], [3, 2], [5, 1], [14, 1]], 361/348364800], [[[1, 8], [2, 3], [3, 2], [5, 1], [18, 1]], 2969/4031078400], [[[1, 8], [2, 3], [3, 2], [5, 2], [6, 1]], 3145096813/722369249280000], [[[1, 8], [2, 3], [3, 2], [6, 1], [8, 2]], 101023501/231158159769600], [[[1, 8], [2, 3], [3, 2], [6, 1], [10, 2]], 35795821/722369249280000], [[[1, 8], [2, 3], [3, 2], [6, 1], [12, 2]], 9280621/49533891379200], [[[1, 8], [2, 3], [3, 2], [6, 1], [15, 1]], 6765421/36118462464000], [[[1, 8], [2, 3], [3, 2], [6, 1], [20, 1]], 6765421/24078974976000], [[[1, 8], [2, 3], [3, 2], [6, 1], [24, 1]], 12732781/28894769971200], [[[1, 8], [2, 3], [3, 2], [6, 1], [30, 1]], 6765421/36118462464000], [[[1, 8], [2, 3], [3, 2], [6, 2], [7, 1]], 2621179/561842749440], [[[1, 8], [2, 3], [3, 2], [6, 2], [9, 1]], 479021/325066162176], [[[1, 8], [2, 3], [3, 2], [6, 2], [14, 1]], 32694581/67421129932800], [[[1, 8], [2, 3], [3, 2], [6, 2], [18, 1]], 8319119/17336861982720], [[[1, 8], [2, 3], [3, 2], [6, 3], [8, 1]], 4501645/10402117189632], [[[1, 8], [2, 3], [3, 2], [6, 3], [10, 1]], 40086581/144473849856000], [[[1, 8], [2, 3], [3, 2], [6, 3], [12, 1]], 1241957399/3120635156889600], [[[1, 8], [2, 3], [3, 2], [7, 1], [8, 1]], 11/6531840], [[[1, 8], [2, 3], [3, 2], [7, 1], [10, 1]], 13/17418240], [[[1, 8], [2, 3], [3, 2], [7, 1], [12, 1]], 80459/93640458240], [[[1, 8], [2, 3], [3, 2], [8, 1], [9, 1]], 112433/180592312320], [[[1, 8], [2, 3], [3, 2], [8, 1], [14, 1]], 31/104509440], [[[1, 8], [2, 3], [3, 2], [8, 1], [18, 1]], 89/403107840], [[[1, 8], [2, 3], [3, 2], [9, 1], [10, 1]], 2033/8062156800], [[[1, 8], [2, 3], [3, 2], [9, 1], [12, 1]], 3151/10032906240], [[[1, 8], [2, 3], [3, 2], [10, 1], [14, 1]], 1/11612160], [[[1, 8], [2, 3], [3, 2], [10, 1], [18, 1]], 1/14929920], [[[1, 8], [2, 3], [3, 2], [12, 1], [14, 1]], 2051381/11236854988800], [[[1, 8], [2, 3], [3, 2], [12, 1], [18, 1]], 5795501/43342154956800], [[[1, 8], [2, 3], [3, 3], [4, 1], [6, 3]], 12232187/26005292974080], [[[1, 8], [2, 3], [3, 3], [4, 1], [7, 1]], 28111/20065812480], [[[1, 8], [2, 3], [3, 3], [4, 1], [9, 1]], 49709/77396705280], [[[1, 8], [2, 3], [3, 3], [4, 1], [14, 1]], 485/1337720832], [[[1, 8], [2, 3], [3, 3], [4, 1], [18, 1]], 6793/25798901760], [[[1, 8], [2, 3], [3, 3], [4, 2], [5, 1]], 15131/11466178560], [[[1, 8], [2, 3], [3, 3], [4, 2], [6, 2]], 7409369/9906778275840], [[[1, 8], [2, 3], [3, 3], [4, 2], [8, 1]], 337537/275188285440], [[[1, 8], [2, 3], [3, 3], [4, 2], [10, 1]], 44957/171992678400], [[[1, 8], [2, 3], [3, 3], [4, 2], [12, 1]], 34249021/34673723965440], [[[1, 8], [2, 3], [3, 3], [4, 3], [6, 1]], 9187/15288238080], [[[1, 8], [2, 3], [3, 3], [5, 1], [6, 2]], 8821207/3611846246400], [[[1, 8], [2, 3], [3, 3], [5, 1], [8, 1]], 109/95551488], [[[1, 8], [2, 3], [3, 3], [5, 1], [10, 1]], 401/1119744000], [[[1, 8], [2, 3], [3, 3], [5, 1], [12, 1]], 8437/8026324992], [[[1, 8], [2, 3], [3, 3], [6, 1], [7, 1]], 283/104509440], [[[1, 8], [2, 3], [3, 3], [6, 1], [9, 1]], 70410541/65013232435200], [[[1, 8], [2, 3], [3, 3], [6, 1], [14, 1]], 73/125411328], [[[1, 8], [2, 3], [3, 3], [6, 1], [18, 1]], 187777/406332702720], [[[1, 8], [2, 3], [3, 3], [6, 2], [8, 1]], 3944177/5778953994240], [[[1, 8], [2, 3], [3, 3], [6, 2], [10, 1]], 77873/257989017600], [[[1, 8], [2, 3], [3, 3], [6, 2], [12, 1]], 3087311/2167107747840], [[[1, 8], [2, 3], [3, 3], [8, 1], [10, 1]], 5/95551488], [[[1, 8], [2, 3], [3, 3], [8, 1], [12, 1]], 426929/963158999040], [[[1, 8], [2, 3], [3, 3], [10, 1], [12, 1]], 7793/42998169600], [[[1, 8], [2, 3], [3, 4], [4, 1], [5, 1]], 21424703/28894769971200], [[[1, 8], [2, 3], [3, 4], [4, 1], [6, 2]], 7324259/12383472844800], [[[1, 8], [2, 3], [3, 4], [4, 1], [8, 1]], 12573788141/27738979172352000], [[[1, 8], [2, 3], [3, 4], [4, 1], [10, 1]], 9787003/144473849856000], [[[1, 8], [2, 3], [3, 4], [4, 1], [12, 1]], 9117233/17336861982720], [[[1, 8], [2, 3], [3, 4], [4, 2], [6, 1]], 35012749991/124825406275584000], [[[1, 8], [2, 3], [3, 4], [5, 1], [6, 1]], 3522743/2579890176000], [[[1, 8], [2, 3], [3, 4], [6, 1], [8, 1]], 2801803/6934744793088], [[[1, 8], [2, 3], [3, 4], [6, 1], [10, 1]], 838973621/13002646487040000], [[[1, 8], [2, 3], [3, 4], [6, 1], [12, 1]], 3611497673/4458050224128000], [[[1, 8], [2, 3], [3, 5], [4, 1], [6, 1]], 24910363/260052929740800], [[[1, 8], [2, 3], [4, 1], [5, 1], [6, 4]], 141343/28894769971200], [[[1, 8], [2, 3], [4, 1], [5, 1], [8, 2]], 437243/178362777600], [[[1, 8], [2, 3], [4, 1], [5, 1], [10, 2]], 80411/557383680000], [[[1, 8], [2, 3], [4, 1], [5, 1], [12, 2]], 1567/53508833280], [[[1, 8], [2, 3], [4, 1], [5, 1], [15, 1]], 1567/5573836800], [[[1, 8], [2, 3], [4, 1], [5, 1], [16, 1]], 1/1843200], [[[1, 8], [2, 3], [4, 1], [5, 1], [20, 1]], 1567/3715891200], [[[1, 8], [2, 3], [4, 1], [5, 1], [24, 1]], 1567/4459069440], [[[1, 8], [2, 3], [4, 1], [5, 1], [30, 1]], 1567/5573836800], [[[1, 8], [2, 3], [4, 1], [5, 2], [6, 2]], 1747/47775744000], [[[1, 8], [2, 3], [4, 1], [5, 2], [8, 1]], 333032173/107017666560000], [[[1, 8], [2, 3], [4, 1], [5, 2], [10, 1]], 1403579/557383680000], [[[1, 8], [2, 3], [4, 1], [5, 2], [12, 1]], 72589/66886041600], [[[1, 8], [2, 3], [4, 1], [6, 2], [8, 2]], 1567/15288238080], [[[1, 8], [2, 3], [4, 1], [6, 2], [10, 2]], 47/9555148800], [[[1, 8], [2, 3], [4, 1], [6, 2], [12, 2]], 37/4459069440], [[[1, 8], [2, 3], [4, 1], [6, 2], [15, 1]], 19/2388787200], [[[1, 8], [2, 3], [4, 1], [6, 2], [20, 1]], 19/1592524800], [[[1, 8], [2, 3], [4, 1], [6, 2], [24, 1]], 19/1911029760], [[[1, 8], [2, 3], [4, 1], [6, 2], [30, 1]], 19/2388787200], [[[1, 8], [2, 3], [4, 1], [6, 3], [7, 1]], 787/6688604160], [[[1, 8], [2, 3], [4, 1], [6, 3], [9, 1]], 793/25798901760], [[[1, 8], [2, 3], [4, 1], [6, 3], [14, 1]], 1/2229534720], [[[1, 8], [2, 3], [4, 1], [6, 3], [18, 1]], 41/8599633920], [[[1, 8], [2, 3], [4, 1], [6, 4], [8, 1]], 37986541/27738979172352000], [[[1, 8], [2, 3], [4, 1], [6, 4], [10, 1]], 30683/144473849856000], [[[1, 8], [2, 3], [4, 1], [6, 4], [12, 1]], 18913/17336861982720], [[[1, 8], [2, 3], [4, 1], [7, 1], [9, 1]], 73/39813120], [[[1, 8], [2, 3], [4, 1], [7, 1], [14, 1]], 2063/1300561920], [[[1, 8], [2, 3], [4, 1], [7, 1], [18, 1]], 67/92897280], [[[1, 8], [2, 3], [4, 1], [8, 1], [10, 2]], 488941/107017666560000], [[[1, 8], [2, 3], [4, 1], [8, 1], [12, 2]], 488941/51368479948800], [[[1, 8], [2, 3], [4, 1], [8, 1], [15, 1]], 488941/5350883328000], [[[1, 8], [2, 3], [4, 1], [8, 1], [16, 1]], 703/2972712960], [[[1, 8], [2, 3], [4, 1], [8, 1], [20, 1]], 613741/3567255552000], [[[1, 8], [2, 3], [4, 1], [8, 1], [24, 1]], 738541/4280706662400], [[[1, 8], [2, 3], [4, 1], [8, 1], [30, 1]], 488941/5350883328000], [[[1, 8], [2, 3], [4, 1], [8, 2], [10, 1]], 30683/178362777600], [[[1, 8], [2, 3], [4, 1], [8, 2], [12, 1]], 1525/21403533312], [[[1, 8], [2, 3], [4, 1], [9, 1], [14, 1]], 5/18579456], [[[1, 8], [2, 3], [4, 1], [9, 1], [18, 1]], 1973/5016453120], [[[1, 8], [2, 3], [4, 1], [10, 1], [12, 2]], 443/267544166400], [[[1, 8], [2, 3], [4, 1], [10, 1], [15, 1]], 443/27869184000], [[[1, 8], [2, 3], [4, 1], [10, 1], [20, 1]], 443/18579456000], [[[1, 8], [2, 3], [4, 1], [10, 1], [24, 1]], 443/22295347200], [[[1, 8], [2, 3], [4, 1], [10, 1], [30, 1]], 443/27869184000], [[[1, 8], [2, 3], [4, 1], [10, 2], [12, 1]], 13/66886041600], [[[1, 8], [2, 3], [4, 1], [12, 1], [15, 1]], 13/3344302080], [[[1, 8], [2, 3], [4, 1], [12, 1], [16, 1]], 13/445906944], [[[1, 8], [2, 3], [4, 1], [12, 1], [20, 1]], 13/445906944], [[[1, 8], [2, 3], [4, 1], [12, 1], [24, 1]], 13/382205952], [[[1, 8], [2, 3], [4, 1], [12, 1], [30, 1]], 13/3344302080], [[[1, 8], [2, 3], [4, 1], [14, 1], [18, 1]], 1/30965760], [[[1, 8], [2, 3], [4, 2], [5, 1], [6, 3]], 17/5374771200], [[[1, 8], [2, 3], [4, 2], [5, 1], [7, 1]], 23/8847360], [[[1, 8], [2, 3], [4, 2], [5, 1], [9, 1]], 131/159252480], [[[1, 8], [2, 3], [4, 2], [5, 1], [14, 1]], 1/3276800], [[[1, 8], [2, 3], [4, 2], [5, 1], [18, 1]], 17/74649600], [[[1, 8], [2, 3], [4, 2], [5, 2], [6, 1]], 152406823/481579499520000], [[[1, 8], [2, 3], [4, 2], [6, 1], [8, 2]], 104747071/154105439846400], [[[1, 8], [2, 3], [4, 2], [6, 1], [10, 2]], 10557031/481579499520000], [[[1, 8], [2, 3], [4, 2], [6, 1], [12, 2]], 8024567/231158159769600], [[[1, 8], [2, 3], [4, 2], [6, 1], [15, 1]], 1303591/24078974976000], [[[1, 8], [2, 3], [4, 2], [6, 1], [20, 1]], 1303591/16052649984000], [[[1, 8], [2, 3], [4, 2], [6, 1], [24, 1]], 1303591/19263179980800], [[[1, 8], [2, 3], [4, 2], [6, 1], [30, 1]], 1303591/24078974976000], [[[1, 8], [2, 3], [4, 2], [6, 2], [7, 1]], 95/222953472], [[[1, 8], [2, 3], [4, 2], [6, 2], [9, 1]], 217/1719926784], [[[1, 8], [2, 3], [4, 2], [6, 2], [14, 1]], 1/33030144], [[[1, 8], [2, 3], [4, 2], [6, 2], [18, 1]], 2324191/43342154956800], [[[1, 8], [2, 3], [4, 2], [6, 3], [8, 1]], 12331/275188285440], [[[1, 8], [2, 3], [4, 2], [6, 3], [10, 1]], 557/38220595200], [[[1, 8], [2, 3], [4, 2], [6, 3], [12, 1]], 29756449/1248254062755840], [[[1, 8], [2, 3], [4, 2], [7, 1], [8, 1]], 451/123863040], [[[1, 8], [2, 3], [4, 2], [7, 1], [10, 1]], 253/309657600], [[[1, 8], [2, 3], [4, 2], [7, 1], [12, 1]], 25327/23410114560], [[[1, 8], [2, 3], [4, 2], [8, 1], [9, 1]], 4261/3822059520], [[[1, 8], [2, 3], [4, 2], [8, 1], [14, 1]], 169/495452160], [[[1, 8], [2, 3], [4, 2], [8, 1], [18, 1]], 991/3822059520], [[[1, 8], [2, 3], [4, 2], [9, 1], [10, 1]], 557/2388787200], [[[1, 8], [2, 3], [4, 2], [9, 1], [12, 1]], 461/1504935936], [[[1, 8], [2, 3], [4, 2], [10, 1], [14, 1]], 17/412876800], [[[1, 8], [2, 3], [4, 2], [10, 1], [18, 1]], 17/530841600], [[[1, 8], [2, 3], [4, 2], [12, 1], [14, 1]], 140101/2809213747200], [[[1, 8], [2, 3], [4, 2], [12, 1], [18, 1]], 420061/10835538739200], [[[1, 8], [2, 3], [4, 3], [5, 1], [6, 2]], 31/1274019840], [[[1, 8], [2, 3], [4, 3], [5, 1], [8, 1]], 323/157286400], [[[1, 8], [2, 3], [4, 3], [5, 1], [10, 1]], 157/294912000], [[[1, 8], [2, 3], [4, 3], [5, 1], [12, 1]], 6799/8360755200], [[[1, 8], [2, 3], [4, 3], [6, 1], [7, 1]], 11/23592960], [[[1, 8], [2, 3], [4, 3], [6, 1], [9, 1]], 197/1433272320], [[[1, 8], [2, 3], [4, 3], [6, 1], [14, 1]], 5/148635648], [[[1, 8], [2, 3], [4, 3], [6, 1], [18, 1]], 40091/963158999040], [[[1, 8], [2, 3], [4, 3], [6, 2], [8, 1]], 233/1358954496], [[[1, 8], [2, 3], [4, 3], [6, 2], [10, 1]], 47/1274019840], [[[1, 8], [2, 3], [4, 3], [6, 2], [12, 1]], 62327/1027369598976], [[[1, 8], [2, 3], [4, 3], [8, 1], [10, 1]], 1661/5662310400], [[[1, 8], [2, 3], [4, 3], [8, 1], [12, 1]], 7998901/12842119987200], [[[1, 8], [2, 3], [4, 3], [10, 1], [12, 1]], 457/8360755200], [[[1, 8], [2, 3], [4, 4], [5, 1], [6, 1]], 30053/764411904000], [[[1, 8], [2, 3], [4, 4], [6, 1], [8, 1]], 1816093/10273695989760], [[[1, 8], [2, 3], [4, 4], [6, 1], [10, 1]], 113337871/3852635996160000], [[[1, 8], [2, 3], [4, 4], [6, 1], [12, 1]], 632409431/9246326390784000], [[[1, 8], [2, 3], [5, 1], [6, 1], [8, 2]], 1247/3185049600], [[[1, 8], [2, 3], [5, 1], [6, 1], [10, 2]], 887/9953280000], [[[1, 8], [2, 3], [5, 1], [6, 1], [12, 2]], 23/4777574400], [[[1, 8], [2, 3], [5, 1], [6, 1], [15, 1]], 23/497664000], [[[1, 8], [2, 3], [5, 1], [6, 1], [20, 1]], 23/331776000], [[[1, 8], [2, 3], [5, 1], [6, 1], [24, 1]], 23/398131200], [[[1, 8], [2, 3], [5, 1], [6, 1], [30, 1]], 23/497664000], [[[1, 8], [2, 3], [5, 1], [6, 2], [7, 1]], 19/29030400], [[[1, 8], [2, 3], [5, 1], [6, 2], [9, 1]], 11/55987200], [[[1, 8], [2, 3], [5, 1], [6, 2], [14, 1]], 1/19353600], [[[1, 8], [2, 3], [5, 1], [6, 2], [18, 1]], 59/895795200], [[[1, 8], [2, 3], [5, 1], [6, 3], [8, 1]], 67/1791590400], [[[1, 8], [2, 3], [5, 1], [6, 3], [10, 1]], 13/497664000], [[[1, 8], [2, 3], [5, 1], [6, 3], [12, 1]], 167/4777574400], [[[1, 8], [2, 3], [5, 1], [7, 1], [8, 1]], 109/25804800], [[[1, 8], [2, 3], [5, 1], [7, 1], [10, 1]], 19/8064000], [[[1, 8], [2, 3], [5, 1], [8, 1], [9, 1]], 143/99532800], [[[1, 8], [2, 3], [5, 1], [8, 1], [14, 1]], 1/1433600], [[[1, 8], [2, 3], [5, 1], [8, 1], [18, 1]], 13/24883200], [[[1, 8], [2, 3], [5, 1], [9, 1], [10, 1]], 11/15552000], [[[1, 8], [2, 3], [5, 1], [10, 1], [14, 1]], 1/5376000], [[[1, 8], [2, 3], [5, 1], [10, 1], [18, 1]], 1/6912000], [[[1, 8], [2, 3], [5, 2], [6, 1], [8, 1]], 72631/133772083200], [[[1, 8], [2, 3], [5, 2], [6, 1], [10, 1]], 24825013/50164531200000], [[[1, 8], [2, 3], [5, 2], [6, 1], [12, 1]], 68378413/120394874880000], [[[1, 8], [2, 3], [6, 1], [7, 1], [9, 1]], 17/41803776], [[[1, 8], [2, 3], [6, 1], [7, 1], [14, 1]], 1/10838016], [[[1, 8], [2, 3], [6, 1], [7, 1], [18, 1]], 1639/17557585920], [[[1, 8], [2, 3], [6, 1], [8, 1], [10, 2]], 11/26754416640], [[[1, 8], [2, 3], [6, 1], [8, 1], [12, 2]], 55/64210599936], [[[1, 8], [2, 3], [6, 1], [8, 1], [15, 1]], 11/1337720832], [[[1, 8], [2, 3], [6, 1], [8, 1], [20, 1]], 11/891813888], [[[1, 8], [2, 3], [6, 1], [8, 1], [24, 1]], 55/5350883328], [[[1, 8], [2, 3], [6, 1], [8, 1], [30, 1]], 11/1337720832], [[[1, 8], [2, 3], [6, 1], [8, 2], [10, 1]], 457621/16052649984000], [[[1, 8], [2, 3], [6, 1], [8, 2], [12, 1]], 1372621/38526359961600], [[[1, 8], [2, 3], [6, 1], [9, 1], [14, 1]], 1/41803776], [[[1, 8], [2, 3], [6, 1], [9, 1], [18, 1]], 71/2821754880], [[[1, 8], [2, 3], [6, 1], [10, 1], [12, 2]], 4021/24078974976000], [[[1, 8], [2, 3], [6, 1], [10, 1], [15, 1]], 4021/2508226560000], [[[1, 8], [2, 3], [6, 1], [10, 1], [20, 1]], 4021/1672151040000], [[[1, 8], [2, 3], [6, 1], [10, 1], [24, 1]], 4021/2006581248000], [[[1, 8], [2, 3], [6, 1], [10, 1], [30, 1]], 4021/2508226560000], [[[1, 8], [2, 3], [6, 1], [10, 2], [12, 1]], 11821/120394874880000], [[[1, 8], [2, 3], [6, 1], [12, 1], [15, 1]], 11821/6019743744000], [[[1, 8], [2, 3], [6, 1], [12, 1], [20, 1]], 11821/4013162496000], [[[1, 8], [2, 3], [6, 1], [12, 1], [24, 1]], 11821/4815794995200], [[[1, 8], [2, 3], [6, 1], [12, 1], [30, 1]], 11821/6019743744000], [[[1, 8], [2, 3], [6, 1], [14, 1], [18, 1]], 4021/2106910310400], [[[1, 8], [2, 3], [6, 2], [7, 1], [8, 1]], 1/4644864], [[[1, 8], [2, 3], [6, 2], [7, 1], [10, 1]], 1/23224320], [[[1, 8], [2, 3], [6, 2], [7, 1], [12, 1]], 5419/93640458240], [[[1, 8], [2, 3], [6, 2], [8, 1], [9, 1]], 1/17915904], [[[1, 8], [2, 3], [6, 2], [8, 1], [18, 1]], 55/12039487488], [[[1, 8], [2, 3], [6, 2], [9, 1], [10, 1]], 1/89579520], [[[1, 8], [2, 3], [6, 2], [9, 1], [12, 1]], 457/30098718720], [[[1, 8], [2, 3], [6, 2], [10, 1], [18, 1]], 4021/4514807808000], [[[1, 8], [2, 3], [6, 2], [12, 1], [14, 1]], 4021/11236854988800], [[[1, 8], [2, 3], [6, 2], [12, 1], [18, 1]], 11821/8668430991360], [[[1, 8], [2, 3], [6, 3], [8, 1], [12, 1]], 55/64210599936], [[[1, 8], [2, 3], [6, 3], [10, 1], [12, 1]], 4021/24078974976000], [[[1, 8], [2, 3], [7, 1], [8, 1], [10, 1]], 1/1720320], [[[1, 8], [2, 3], [8, 1], [9, 1], [10, 1]], 1/6635520], [[[1, 8], [2, 5], [3, 1], [4, 1], [5, 2]], 266224937/80263249920000], [[[1, 8], [2, 5], [3, 1], [4, 1], [6, 4]], 975720127/2972033482752000], [[[1, 8], [2, 5], [3, 1], [4, 1], [8, 2]], 62950799/25684239974400], [[[1, 8], [2, 5], [3, 1], [4, 1], [10, 2]], 30300857/80263249920000], [[[1, 8], [2, 5], [3, 1], [4, 1], [12, 2]], 2868809/38526359961600], [[[1, 8], [2, 5], [3, 1], [4, 1], [15, 1]], 636089/4013162496000], [[[1, 8], [2, 5], [3, 1], [4, 1], [16, 1]], 17/26542080], [[[1, 8], [2, 5], [3, 1], [4, 1], [20, 1]], 636089/2675441664000], [[[1, 8], [2, 5], [3, 1], [4, 1], [24, 1]], 636089/3210529996800], [[[1, 8], [2, 5], [3, 1], [4, 1], [30, 1]], 636089/4013162496000], [[[1, 8], [2, 5], [3, 1], [4, 2], [6, 3]], 218892803/208042343792640], [[[1, 8], [2, 5], [3, 1], [4, 2], [7, 1]], 95063/32105299968], [[[1, 8], [2, 5], [3, 1], [4, 2], [9, 1]], 263592593/198135565516800], [[[1, 8], [2, 5], [3, 1], [4, 2], [14, 1]], 362617/321052999680], [[[1, 8], [2, 5], [3, 1], [4, 2], [18, 1]], 325421/412782428160], [[[1, 8], [2, 5], [3, 1], [4, 3], [5, 1]], 11972551/4586471424000], [[[1, 8], [2, 5], [3, 1], [4, 3], [6, 2]], 536766869/277389791723520], [[[1, 8], [2, 5], [3, 1], [4, 3], [8, 1]], 9123451/1467670855680], [[[1, 8], [2, 5], [3, 1], [4, 3], [10, 1]], 2563867/2293235712000], [[[1, 8], [2, 5], [3, 1], [4, 3], [12, 1]], 172523987/77052719923200], [[[1, 8], [2, 5], [3, 1], [4, 4], [6, 1]], 27562626341/13869489586176000], [[[1, 8], [2, 5], [3, 1], [5, 1], [6, 3]], 11264417/12039487488000], [[[1, 8], [2, 5], [3, 1], [5, 1], [7, 1]], 2123/1238630400], [[[1, 8], [2, 5], [3, 1], [5, 1], [9, 1]], 8053/9555148800], [[[1, 8], [2, 5], [3, 1], [5, 1], [14, 1]], 24709/26011238400], [[[1, 8], [2, 5], [3, 1], [5, 1], [18, 1]], 20701/33443020800], [[[1, 8], [2, 5], [3, 1], [5, 2], [6, 1]], 621123263/180592312320000], [[[1, 8], [2, 5], [3, 1], [6, 1], [8, 2]], 96417431/57789539942400], [[[1, 8], [2, 5], [3, 1], [6, 1], [10, 2]], 72085823/180592312320000], [[[1, 8], [2, 5], [3, 1], [6, 1], [12, 2]], 712103/12383472844800], [[[1, 8], [2, 5], [3, 1], [6, 1], [15, 1]], 816191/9029615616000], [[[1, 8], [2, 5], [3, 1], [6, 1], [20, 1]], 816191/6019743744000], [[[1, 8], [2, 5], [3, 1], [6, 1], [24, 1]], 1564631/7223692492800], [[[1, 8], [2, 5], [3, 1], [6, 1], [30, 1]], 816191/9029615616000], [[[1, 8], [2, 5], [3, 1], [6, 2], [7, 1]], 2707861/1444738498560], [[[1, 8], [2, 5], [3, 1], [6, 2], [9, 1]], 66997963/97519848652800], [[[1, 8], [2, 5], [3, 1], [6, 2], [14, 1]], 821683/2022633897984], [[[1, 8], [2, 5], [3, 1], [6, 2], [18, 1]], 22895639/65013232435200], [[[1, 8], [2, 5], [3, 1], [6, 3], [8, 1]], 32827933/52010585948160], [[[1, 8], [2, 5], [3, 1], [6, 3], [10, 1]], 117150113/325066162176000], [[[1, 8], [2, 5], [3, 1], [6, 3], [12, 1]], 23016541/86684309913600], [[[1, 8], [2, 5], [3, 1], [7, 1], [8, 1]], 7307/5350883328], [[[1, 8], [2, 5], [3, 1], [7, 1], [10, 1]], 421/435456000], [[[1, 8], [2, 5], [3, 1], [7, 1], [12, 1]], 1423/8918138880], [[[1, 8], [2, 5], [3, 1], [8, 1], [9, 1]], 566003/963158999040], [[[1, 8], [2, 5], [3, 1], [8, 1], [14, 1]], 23621/46820229120], [[[1, 8], [2, 5], [3, 1], [8, 1], [18, 1]], 31631/90296156160], [[[1, 8], [2, 5], [3, 1], [9, 1], [10, 1]], 34408421/90296156160000], [[[1, 8], [2, 5], [3, 1], [9, 1], [12, 1]], 2309/34398535680], [[[1, 8], [2, 5], [3, 1], [10, 1], [14, 1]], 307/1161216000], [[[1, 8], [2, 5], [3, 1], [10, 1], [18, 1]], 1931/10077696000], [[[1, 8], [2, 5], [3, 1], [12, 1], [14, 1]], 1231/20808990720], [[[1, 8], [2, 5], [3, 1], [12, 1], [18, 1]], 1979/48157949952], [[[1, 8], [2, 5], [3, 2], [4, 1], [6, 3]], 3858486697/1248254062755840], [[[1, 8], [2, 5], [3, 2], [4, 1], [7, 1]], 2917/1433272320], [[[1, 8], [2, 5], [3, 2], [4, 1], [9, 1]], 7351609/7223692492800], [[[1, 8], [2, 5], [3, 2], [4, 1], [14, 1]], 4951/5016453120], [[[1, 8], [2, 5], [3, 2], [4, 1], [18, 1]], 25459/38698352640], [[[1, 8], [2, 5], [3, 2], [4, 2], [5, 1]], 1146079/343985356800], [[[1, 8], [2, 5], [3, 2], [4, 2], [6, 2]], 182160703777/26629420005457920], [[[1, 8], [2, 5], [3, 2], [4, 2], [8, 1]], 494645/110075314176], [[[1, 8], [2, 5], [3, 2], [4, 2], [10, 1]], 1080209/859963392000], [[[1, 8], [2, 5], [3, 2], [4, 2], [12, 1]], 6284466739/3170169048268800], [[[1, 8], [2, 5], [3, 2], [4, 3], [6, 1]], 12421993/2889476997120], [[[1, 8], [2, 5], [3, 2], [5, 1], [6, 2]], 156042467/24766945689600], [[[1, 8], [2, 5], [3, 2], [5, 1], [8, 1]], 105751/57330892800], [[[1, 8], [2, 5], [3, 2], [5, 1], [10, 1]], 2509/1492992000], [[[1, 8], [2, 5], [3, 2], [5, 1], [12, 1]], 1259/2038431744], [[[1, 8], [2, 5], [3, 2], [6, 1], [7, 1]], 3176821/1123685498880], [[[1, 8], [2, 5], [3, 2], [6, 1], [9, 1]], 82407959/65013232435200], [[[1, 8], [2, 5], [3, 2], [6, 1], [14, 1]], 38256301/33710564966400], [[[1, 8], [2, 5], [3, 2], [6, 1], [18, 1]], 3879203/4815794995200], [[[1, 8], [2, 5], [3, 2], [6, 2], [8, 1]], 1042115903/277389791723520], [[[1, 8], [2, 5], [3, 2], [6, 2], [10, 1]], 289808441/137594142720000], [[[1, 8], [2, 5], [3, 2], [6, 2], [12, 1]], 163721711/148601674137600], [[[1, 8], [2, 5], [3, 2], [8, 1], [10, 1]], 2497/4478976000], [[[1, 8], [2, 5], [3, 2], [8, 1], [12, 1]], 2223239/5136847994880], [[[1, 8], [2, 5], [3, 2], [10, 1], [12, 1]], 135645221/481579499520000], [[[1, 8], [2, 5], [3, 3], [4, 1], [5, 1]], 2099989/1146617856000], [[[1, 8], [2, 5], [3, 3], [4, 1], [6, 2]], 3828617707/693474479308800], [[[1, 8], [2, 5], [3, 3], [4, 1], [8, 1]], 3921277/2568423997440], [[[1, 8], [2, 5], [3, 3], [4, 1], [10, 1]], 1998007/3439853568000], [[[1, 8], [2, 5], [3, 3], [4, 1], [12, 1]], 107106227/115579079884800], [[[1, 8], [2, 5], [3, 3], [4, 2], [6, 1]], 243595433/69347447930880], [[[1, 8], [2, 5], [3, 3], [5, 1], [6, 1]], 109684859/36118462464000], [[[1, 8], [2, 5], [3, 3], [6, 1], [8, 1]], 2220457/1155790798848], [[[1, 8], [2, 5], [3, 3], [6, 1], [10, 1]], 12071131/12039487488000], [[[1, 8], [2, 5], [3, 3], [6, 1], [12, 1]], 90303901/86684309913600], [[[1, 8], [2, 5], [3, 4], [4, 1], [6, 1]], 2013222313/1386948958617600], [[[1, 8], [2, 5], [4, 1], [5, 1], [6, 3]], 515393/1805923123200], [[[1, 8], [2, 5], [4, 1], [5, 1], [7, 1]], 5941/1769472000], [[[1, 8], [2, 5], [4, 1], [5, 1], [9, 1]], 71807/47775744000], [[[1, 8], [2, 5], [4, 1], [5, 1], [14, 1]], 19783/13005619200], [[[1, 8], [2, 5], [4, 1], [5, 1], [18, 1]], 25757/25082265600], [[[1, 8], [2, 5], [4, 1], [5, 2], [6, 1]], 7066889/5350883328000], [[[1, 8], [2, 5], [4, 1], [6, 1], [8, 2]], 319493/244611809280], [[[1, 8], [2, 5], [4, 1], [6, 1], [10, 2]], 199727/764411904000], [[[1, 8], [2, 5], [4, 1], [6, 1], [12, 2]], 1081/31708938240], [[[1, 8], [2, 5], [4, 1], [6, 1], [15, 1]], 18953/267544166400], [[[1, 8], [2, 5], [4, 1], [6, 1], [16, 1]], 1/10616832], [[[1, 8], [2, 5], [4, 1], [6, 1], [20, 1]], 18953/178362777600], [[[1, 8], [2, 5], [4, 1], [6, 1], [24, 1]], 18953/214035333120], [[[1, 8], [2, 5], [4, 1], [6, 1], [30, 1]], 18953/267544166400], [[[1, 8], [2, 5], [4, 1], [6, 2], [7, 1]], 563/557383680], [[[1, 8], [2, 5], [4, 1], [6, 2], [9, 1]], 1511/4299816960], [[[1, 8], [2, 5], [4, 1], [6, 2], [14, 1]], 101/557383680], [[[1, 8], [2, 5], [4, 1], [6, 2], [18, 1]], 84697/481579499520], [[[1, 8], [2, 5], [4, 1], [6, 3], [8, 1]], 364652611/1386948958617600], [[[1, 8], [2, 5], [4, 1], [6, 3], [10, 1]], 47773/361184624640], [[[1, 8], [2, 5], [4, 1], [6, 3], [12, 1]], 1196021/9906778275840], [[[1, 8], [2, 5], [4, 1], [7, 1], [8, 1]], 146119/41617981440], [[[1, 8], [2, 5], [4, 1], [7, 1], [10, 1]], 22987/12386304000], [[[1, 8], [2, 5], [4, 1], [7, 1], [12, 1]], 311/1486356480], [[[1, 8], [2, 5], [4, 1], [8, 1], [9, 1]], 139127/107017666560], [[[1, 8], [2, 5], [4, 1], [8, 1], [14, 1]], 4243231/4994157772800], [[[1, 8], [2, 5], [4, 1], [8, 1], [18, 1]], 11751811/19263179980800], [[[1, 8], [2, 5], [4, 1], [9, 1], [10, 1]], 31447/47775744000], [[[1, 8], [2, 5], [4, 1], [9, 1], [12, 1]], 443/5733089280], [[[1, 8], [2, 5], [4, 1], [10, 1], [14, 1]], 4663/13005619200], [[[1, 8], [2, 5], [4, 1], [10, 1], [18, 1]], 6773/25082265600], [[[1, 8], [2, 5], [4, 1], [12, 1], [14, 1]], 379/7803371520], [[[1, 8], [2, 5], [4, 1], [12, 1], [18, 1]], 67/1881169920], [[[1, 8], [2, 5], [4, 2], [5, 1], [6, 2]], 9359/11466178560], [[[1, 8], [2, 5], [4, 2], [5, 1], [8, 1]], 9099187/1189085184000], [[[1, 8], [2, 5], [4, 2], [5, 1], [10, 1]], 43463/8847360000], [[[1, 8], [2, 5], [4, 2], [5, 1], [12, 1]], 13561/7644119040], [[[1, 8], [2, 5], [4, 2], [6, 1], [7, 1]], 395221/187280916480], [[[1, 8], [2, 5], [4, 2], [6, 1], [9, 1]], 19115/24078974976], [[[1, 8], [2, 5], [4, 2], [6, 1], [14, 1]], 11997331/22473709977600], [[[1, 8], [2, 5], [4, 2], [6, 1], [18, 1]], 627316007/1386948958617600], [[[1, 8], [2, 5], [4, 2], [6, 2], [8, 1]], 249749/214035333120], [[[1, 8], [2, 5], [4, 2], [6, 2], [10, 1]], 24830431/48157949952000], [[[1, 8], [2, 5], [4, 2], [6, 2], [12, 1]], 4814701273/9510507144806400], [[[1, 8], [2, 5], [4, 2], [8, 1], [10, 1]], 2095687/1189085184000], [[[1, 8], [2, 5], [4, 2], [8, 1], [12, 1]], 222247/128421199872], [[[1, 8], [2, 5], [4, 2], [10, 1], [12, 1]], 48631021/120394874880000], [[[1, 8], [2, 5], [4, 3], [5, 1], [6, 1]], 570299/535088332800], [[[1, 8], [2, 5], [4, 3], [6, 1], [8, 1]], 271681891/102736959897600], [[[1, 8], [2, 5], [4, 3], [6, 1], [10, 1]], 57103/89181388800], [[[1, 8], [2, 5], [4, 3], [6, 1], [12, 1]], 566753/642105999360], [[[1, 8], [2, 5], [5, 1], [6, 1], [7, 1]], 227/193536000], [[[1, 8], [2, 5], [5, 1], [6, 1], [9, 1]], 2177/4478976000], [[[1, 8], [2, 5], [5, 1], [6, 1], [14, 1]], 31/77414400], [[[1, 8], [2, 5], [5, 1], [6, 1], [18, 1]], 8929/28665446400], [[[1, 8], [2, 5], [5, 1], [6, 2], [8, 1]], 71/119439360], [[[1, 8], [2, 5], [5, 1], [6, 2], [10, 1]], 17/41472000], [[[1, 8], [2, 5], [5, 1], [6, 2], [12, 1]], 6701/30576476160], [[[1, 8], [2, 5], [5, 1], [8, 1], [10, 1]], 239/122880000], [[[1, 8], [2, 5], [6, 1], [7, 1], [8, 1]], 877/990904320], [[[1, 8], [2, 5], [6, 1], [7, 1], [10, 1]], 45007/78033715200], [[[1, 8], [2, 5], [6, 1], [7, 1], [12, 1]], 21109/187280916480], [[[1, 8], [2, 5], [6, 1], [8, 1], [9, 1]], 3523/11466178560], [[[1, 8], [2, 5], [6, 1], [8, 1], [14, 1]], 2479/15606743040], [[[1, 8], [2, 5], [6, 1], [8, 1], [18, 1]], 128183/963158999040], [[[1, 8], [2, 5], [6, 1], [9, 1], [10, 1]], 17693/100329062400], [[[1, 8], [2, 5], [6, 1], [9, 1], [12, 1]], 1979/48157949952], [[[1, 8], [2, 5], [6, 1], [10, 1], [14, 1]], 125101/2341011456000], [[[1, 8], [2, 5], [6, 1], [10, 1], [18, 1]], 4335431/90296156160000], [[[1, 8], [2, 5], [6, 1], [12, 1], [14, 1]], 140461/5618427494400], [[[1, 8], [2, 5], [6, 1], [12, 1], [18, 1]], 397741/21671077478400], [[[1, 8], [2, 5], [6, 2], [8, 1], [10, 1]], 4999/33443020800], [[[1, 8], [2, 5], [6, 2], [8, 1], [12, 1]], 471959/5136847994880], [[[1, 8], [2, 5], [6, 2], [10, 1], [12, 1]], 2193323/68797071360000], [[[1, 8], [2, 7], [3, 1], [4, 1], [6, 3]], 80651513/65013232435200], [[[1, 8], [2, 7], [3, 1], [4, 1], [7, 1]], 77519/133772083200], [[[1, 8], [2, 7], [3, 1], [4, 1], [9, 1]], 6357817/19263179980800], [[[1, 8], [2, 7], [3, 1], [4, 1], [14, 1]], 460843/936404582400], [[[1, 8], [2, 7], [3, 1], [4, 1], [18, 1]], 2128969/7223692492800], [[[1, 8], [2, 7], [3, 1], [4, 2], [5, 1]], 106694263/64210599936000], [[[1, 8], [2, 7], [3, 1], [4, 2], [6, 2]], 651007021/198135565516800], [[[1, 8], [2, 7], [3, 1], [4, 2], [8, 1]], 980180857/308210879692800], [[[1, 8], [2, 7], [3, 1], [4, 2], [10, 1]], 15885571/13759414272000], [[[1, 8], [2, 7], [3, 1], [4, 2], [12, 1]], 1579185683/2080423437926400], [[[1, 8], [2, 7], [3, 1], [4, 3], [6, 1]], 17134944049/4160846875852800], [[[1, 8], [2, 7], [3, 1], [5, 1], [6, 2]], 25216183/24078974976000], [[[1, 8], [2, 7], [3, 1], [5, 1], [8, 1]], 143/248832000], [[[1, 8], [2, 7], [3, 1], [5, 1], [10, 1]], 148259/139345920000], [[[1, 8], [2, 7], [3, 1], [5, 1], [12, 1]], 240599/4013162496000], [[[1, 8], [2, 7], [3, 1], [6, 1], [7, 1]], 2974961/5417769369600], [[[1, 8], [2, 7], [3, 1], [6, 1], [9, 1]], 6765574511/23404763676672000], [[[1, 8], [2, 7], [3, 1], [6, 1], [14, 1]], 14085223/37924385587200], [[[1, 8], [2, 7], [3, 1], [6, 1], [18, 1]], 95233123/390079394611200], [[[1, 8], [2, 7], [3, 1], [6, 2], [8, 1]], 524803793/520105859481600], [[[1, 8], [2, 7], [3, 1], [6, 2], [10, 1]], 510817019/650132324352000], [[[1, 8], [2, 7], [3, 1], [6, 2], [12, 1]], 467275363/2080423437926400], [[[1, 8], [2, 7], [3, 1], [8, 1], [10, 1]], 3454967/8026324992000], [[[1, 8], [2, 7], [3, 1], [8, 1], [12, 1]], 1781/30576476160], [[[1, 8], [2, 7], [3, 1], [10, 1], [12, 1]], 22417/445906944000], [[[1, 8], [2, 7], [3, 2], [4, 1], [5, 1]], 1108301/1146617856000], [[[1, 8], [2, 7], [3, 2], [4, 1], [6, 2]], 10459465529/1997206500409344], [[[1, 8], [2, 7], [3, 2], [4, 1], [8, 1]], 14737031/12842119987200], [[[1, 8], [2, 7], [3, 2], [4, 1], [10, 1]], 2347963/3439853568000], [[[1, 8], [2, 7], [3, 2], [4, 1], [12, 1]], 34247329/102736959897600], [[[1, 8], [2, 7], [3, 2], [4, 2], [6, 1]], 794193333667/199720650040934400], [[[1, 8], [2, 7], [3, 2], [5, 1], [6, 1]], 118556113/92876046336000], [[[1, 8], [2, 7], [3, 2], [6, 1], [8, 1]], 1260680131/1040211718963200], [[[1, 8], [2, 7], [3, 2], [6, 1], [10, 1]], 455866157/481579499520000], [[[1, 8], [2, 7], [3, 2], [6, 1], [12, 1]], 33818554031/124825406275584000], [[[1, 8], [2, 7], [3, 3], [4, 1], [6, 1]], 56473441/32506616217600], [[[1, 8], [2, 7], [4, 1], [5, 1], [6, 2]], 15412291/24078974976000], [[[1, 8], [2, 7], [4, 1], [5, 1], [8, 1]], 5991239/3567255552000], [[[1, 8], [2, 7], [4, 1], [5, 1], [10, 1]], 749669/278691840000], [[[1, 8], [2, 7], [4, 1], [5, 1], [12, 1]], 6191/63700992000], [[[1, 8], [2, 7], [4, 1], [6, 1], [7, 1]], 77519/133772083200], [[[1, 8], [2, 7], [4, 1], [6, 1], [9, 1]], 58529/206391214080], [[[1, 8], [2, 7], [4, 1], [6, 1], [14, 1]], 17327/52022476800], [[[1, 8], [2, 7], [4, 1], [6, 1], [18, 1]], 639487/2751882854400], [[[1, 8], [2, 7], [4, 1], [6, 2], [8, 1]], 372521419/462316319539200], [[[1, 8], [2, 7], [4, 1], [6, 2], [10, 1]], 2523127/4815794995200], [[[1, 8], [2, 7], [4, 1], [6, 2], [12, 1]], 208361513/924632639078400], [[[1, 8], [2, 7], [4, 1], [8, 1], [10, 1]], 255951991/214035333120000], [[[1, 8], [2, 7], [4, 1], [8, 1], [12, 1]], 1247/6794772480], [[[1, 8], [2, 7], [4, 1], [10, 1], [12, 1]], 18233/267544166400], [[[1, 8], [2, 7], [4, 2], [5, 1], [6, 1]], 17093129/13759414272000], [[[1, 8], [2, 7], [4, 2], [6, 1], [8, 1]], 791868397/308210879692800], [[[1, 8], [2, 7], [4, 2], [6, 1], [10, 1]], 8443071703/7705271992320000], [[[1, 8], [2, 7], [4, 2], [6, 1], [12, 1]], 304596364861/499301625102336000], [[[1, 8], [2, 7], [5, 1], [6, 1], [8, 1]], 558391/1146617856000], [[[1, 8], [2, 7], [5, 1], [6, 1], [10, 1]], 10943/13271040000], [[[1, 8], [2, 7], [5, 1], [6, 1], [12, 1]], 11129/191102976000], [[[1, 8], [2, 7], [6, 1], [8, 1], [10, 1]], 25999/76441190400], [[[1, 8], [2, 7], [6, 1], [8, 1], [12, 1]], 62897/1284211998720], [[[1, 8], [2, 7], [6, 1], [10, 1], [12, 1]], 8867671/240789749760000], [[[1, 8], [2, 9], [3, 1], [4, 1], [5, 1]], 4501750067/34673723965440000], [[[1, 8], [2, 9], [3, 1], [4, 1], [6, 2]], 90847299379/166433875034112000], [[[1, 8], [2, 9], [3, 1], [4, 1], [8, 1]], 1645458611/7925422620672000], [[[1, 8], [2, 9], [3, 1], [4, 1], [10, 1]], 433526929/2476694568960000], [[[1, 8], [2, 9], [3, 1], [4, 1], [12, 1]], 432315613/16643387503411200], [[[1, 8], [2, 9], [3, 1], [4, 2], [6, 1]], 4102388957/4755253572403200], [[[1, 8], [2, 9], [3, 1], [5, 1], [6, 1]], 10169507/80263249920000], [[[1, 8], [2, 9], [3, 1], [6, 1], [8, 1]], 3292433411/20804234379264000], [[[1, 8], [2, 9], [3, 1], [6, 1], [10, 1]], 636252629/3715041853440000], [[[1, 8], [2, 9], [3, 1], [6, 1], [12, 1]], 296156171/20804234379264000], [[[1, 8], [2, 9], [3, 2], [4, 1], [6, 1]], 14018321741/31206351568896000], [[[1, 8], [2, 9], [4, 1], [5, 1], [6, 1]], 464648363/2889476997120000], [[[1, 8], [2, 9], [4, 1], [6, 1], [8, 1]], 14149162051/55477958344704000], [[[1, 8], [2, 9], [4, 1], [6, 1], [10, 1]], 14796077/72236924928000], [[[1, 8], [2, 9], [4, 1], [6, 1], [12, 1]], 1553911/49533891379200], [[[1, 8], [2, 11], [3, 1], [4, 1], [6, 1]], 33546952609/1165037125238784000], [[[1, 9], [2, 2], [3, 1], [4, 1], [6, 5]], 261641/15603175784448000], [[[1, 9], [2, 2], [3, 1], [4, 2], [5, 2]], 1948837/8026324992000], [[[1, 9], [2, 2], [3, 1], [4, 2], [6, 4]], 2195797/2080423437926400], [[[1, 9], [2, 2], [3, 1], [4, 2], [8, 2]], 327217/2568423997440], [[[1, 9], [2, 2], [3, 1], [4, 2], [10, 2]], 7429/8026324992000], [[[1, 9], [2, 2], [3, 1], [4, 2], [12, 2]], 284749/19263179980800], [[[1, 9], [2, 2], [3, 1], [4, 2], [15, 1]], 3397/401316249600], [[[1, 9], [2, 2], [3, 1], [4, 2], [16, 1]], 1/79626240], [[[1, 9], [2, 2], [3, 1], [4, 2], [20, 1]], 1217/53508833280], [[[1, 9], [2, 2], [3, 1], [4, 2], [24, 1]], 3397/321052999680], [[[1, 9], [2, 2], [3, 1], [4, 2], [30, 1]], 3397/401316249600], [[[1, 9], [2, 2], [3, 1], [4, 3], [6, 3]], 3161/2476694568960], [[[1, 9], [2, 2], [3, 1], [4, 3], [7, 1]], 107/836075520], [[[1, 9], [2, 2], [3, 1], [4, 3], [9, 1]], 2193851/57789539942400], [[[1, 9], [2, 2], [3, 1], [4, 3], [14, 1]], 191/26754416640], [[[1, 9], [2, 2], [3, 1], [4, 3], [18, 1]], 191/34398535680], [[[1, 9], [2, 2], [3, 1], [4, 4], [5, 1]], 105603263/3852635996160000], [[[1, 9], [2, 2], [3, 1], [4, 4], [6, 2]], 7021873/2641807540224000], [[[1, 9], [2, 2], [3, 1], [4, 4], [8, 1]], 141204611/3082108796928000], [[[1, 9], [2, 2], [3, 1], [4, 4], [10, 1]], 12811/2293235712000], [[[1, 9], [2, 2], [3, 1], [4, 4], [12, 1]], 48530071/3082108796928000], [[[1, 9], [2, 2], [3, 1], [4, 5], [6, 1]], 9532091/4623163195392000], [[[1, 9], [2, 2], [3, 1], [5, 1], [6, 4]], 36369413/13002646487040000], [[[1, 9], [2, 2], [3, 1], [5, 1], [8, 2]], 897893/16052649984000], [[[1, 9], [2, 2], [3, 1], [5, 1], [10, 2]], 81413/50164531200000], [[[1, 9], [2, 2], [3, 1], [5, 1], [12, 2]], 81413/24078974976000], [[[1, 9], [2, 2], [3, 1], [5, 1], [15, 1]], 81413/2508226560000], [[[1, 9], [2, 2], [3, 1], [5, 1], [20, 1]], 81413/1672151040000], [[[1, 9], [2, 2], [3, 1], [5, 1], [24, 1]], 81413/2006581248000], [[[1, 9], [2, 2], [3, 1], [5, 1], [30, 1]], 81413/2508226560000], [[[1, 9], [2, 2], [3, 1], [5, 2], [6, 2]], 2302219/34398535680000], [[[1, 9], [2, 2], [3, 1], [5, 2], [8, 1]], 16124033/40131624960000], [[[1, 9], [2, 2], [3, 1], [5, 2], [10, 1]], 2593/29859840000], [[[1, 9], [2, 2], [3, 1], [5, 2], [12, 1]], 1472459/5733089280000], [[[1, 9], [2, 2], [3, 1], [6, 2], [8, 2]], 25963/11007531417600], [[[1, 9], [2, 2], [3, 1], [6, 2], [10, 2]], 8203/34398535680000], [[[1, 9], [2, 2], [3, 1], [6, 2], [12, 2]], 7501/16511297126400], [[[1, 9], [2, 2], [3, 1], [6, 2], [15, 1]], 523/1719926784000], [[[1, 9], [2, 2], [3, 1], [6, 2], [20, 1]], 523/1146617856000], [[[1, 9], [2, 2], [3, 1], [6, 2], [24, 1]], 523/1375941427200], [[[1, 9], [2, 2], [3, 1], [6, 2], [30, 1]], 523/1719926784000], [[[1, 9], [2, 2], [3, 1], [6, 3], [7, 1]], 13/3386105856], [[[1, 9], [2, 2], [3, 1], [6, 3], [9, 1]], 21053/20897110425600], [[[1, 9], [2, 2], [3, 1], [6, 3], [14, 1]], 1/45148078080], [[[1, 9], [2, 2], [3, 1], [6, 3], [18, 1]], 1729/9287604633600], [[[1, 9], [2, 2], [3, 1], [6, 4], [8, 1]], 146561/10402117189632000], [[[1, 9], [2, 2], [3, 1], [6, 4], [10, 1]], 1/95551488000], [[[1, 9], [2, 2], [3, 1], [6, 4], [12, 1]], 66473/1486016741376000], [[[1, 9], [2, 2], [3, 1], [7, 1], [9, 1]], 515861/2106910310400], [[[1, 9], [2, 2], [3, 1], [7, 1], [14, 1]], 53/487710720], [[[1, 9], [2, 2], [3, 1], [7, 1], [18, 1]], 23/376233984], [[[1, 9], [2, 2], [3, 1], [8, 1], [10, 2]], 12161/40131624960000], [[[1, 9], [2, 2], [3, 1], [8, 1], [12, 2]], 12161/19263179980800], [[[1, 9], [2, 2], [3, 1], [8, 1], [15, 1]], 12161/2006581248000], [[[1, 9], [2, 2], [3, 1], [8, 1], [16, 1]], 1/159252480], [[[1, 9], [2, 2], [3, 1], [8, 1], [20, 1]], 12161/1337720832000], [[[1, 9], [2, 2], [3, 1], [8, 1], [24, 1]], 12161/1605264998400], [[[1, 9], [2, 2], [3, 1], [8, 1], [30, 1]], 12161/2006581248000], [[[1, 9], [2, 2], [3, 1], [8, 2], [10, 1]], 1/9555148800], [[[1, 9], [2, 2], [3, 1], [8, 2], [12, 1]], 21803/1834588569600], [[[1, 9], [2, 2], [3, 1], [9, 1], [14, 1]], 23021/1053455155200], [[[1, 9], [2, 2], [3, 1], [9, 1], [18, 1]], 7013/290237644800], [[[1, 9], [2, 2], [3, 1], [10, 1], [12, 2]], 1/14332723200], [[[1, 9], [2, 2], [3, 1], [10, 1], [15, 1]], 1/1492992000], [[[1, 9], [2, 2], [3, 1], [10, 1], [20, 1]], 1/995328000], [[[1, 9], [2, 2], [3, 1], [10, 1], [24, 1]], 1/1194393600], [[[1, 9], [2, 2], [3, 1], [10, 1], [30, 1]], 1/1492992000], [[[1, 9], [2, 2], [3, 1], [10, 2], [12, 1]], 203/5733089280000], [[[1, 9], [2, 2], [3, 1], [12, 1], [15, 1]], 203/286654464000], [[[1, 9], [2, 2], [3, 1], [12, 1], [20, 1]], 203/191102976000], [[[1, 9], [2, 2], [3, 1], [12, 1], [24, 1]], 203/229323571200], [[[1, 9], [2, 2], [3, 1], [12, 1], [30, 1]], 203/286654464000], [[[1, 9], [2, 2], [3, 1], [14, 1], [18, 1]], 1/627056640], [[[1, 9], [2, 2], [3, 2], [4, 1], [5, 2]], 11231/15925248000], [[[1, 9], [2, 2], [3, 2], [4, 1], [6, 4]], 286349/37150418534400], [[[1, 9], [2, 2], [3, 2], [4, 1], [8, 2]], 1621/15288238080], [[[1, 9], [2, 2], [3, 2], [4, 1], [10, 2]], 53/47775744000], [[[1, 9], [2, 2], [3, 2], [4, 1], [12, 2]], 405701/9631589990400], [[[1, 9], [2, 2], [3, 2], [4, 1], [15, 1]], 53/2388787200], [[[1, 9], [2, 2], [3, 2], [4, 1], [20, 1]], 53/1592524800], [[[1, 9], [2, 2], [3, 2], [4, 1], [24, 1]], 53/1911029760], [[[1, 9], [2, 2], [3, 2], [4, 1], [30, 1]], 53/2388787200], [[[1, 9], [2, 2], [3, 2], [4, 2], [6, 3]], 130049719/12482540627558400], [[[1, 9], [2, 2], [3, 2], [4, 2], [7, 1]], 3823/10032906240], [[[1, 9], [2, 2], [3, 2], [4, 2], [9, 1]], 26267/240789749760], [[[1, 9], [2, 2], [3, 2], [4, 2], [14, 1]], 113/10032906240], [[[1, 9], [2, 2], [3, 2], [4, 2], [18, 1]], 659/77396705280], [[[1, 9], [2, 2], [3, 2], [4, 3], [5, 1]], 6869/57330892800], [[[1, 9], [2, 2], [3, 2], [4, 3], [6, 2]], 33082331/1849265278156800], [[[1, 9], [2, 2], [3, 2], [4, 3], [8, 1]], 5563/45864714240], [[[1, 9], [2, 2], [3, 2], [4, 3], [10, 1]], 433/57330892800], [[[1, 9], [2, 2], [3, 2], [4, 3], [12, 1]], 15316891/308210879692800], [[[1, 9], [2, 2], [3, 2], [4, 4], [6, 1]], 33573943/1981355655168000], [[[1, 9], [2, 2], [3, 2], [5, 1], [6, 3]], 29341/464380231680], [[[1, 9], [2, 2], [3, 2], [5, 1], [7, 1]], 361/348364800], [[[1, 9], [2, 2], [3, 2], [5, 1], [9, 1]], 535991/1504935936000], [[[1, 9], [2, 2], [3, 2], [5, 1], [14, 1]], 7/49766400], [[[1, 9], [2, 2], [3, 2], [5, 1], [18, 1]], 427/4031078400], [[[1, 9], [2, 2], [3, 2], [5, 2], [6, 1]], 20518429/25798901760000], [[[1, 9], [2, 2], [3, 2], [6, 1], [8, 2]], 124573/8255648563200], [[[1, 9], [2, 2], [3, 2], [6, 1], [10, 2]], 20893/25798901760000], [[[1, 9], [2, 2], [3, 2], [6, 1], [12, 2]], 170251/12383472844800], [[[1, 9], [2, 2], [3, 2], [6, 1], [15, 1]], 20893/1289945088000], [[[1, 9], [2, 2], [3, 2], [6, 1], [20, 1]], 20893/859963392000], [[[1, 9], [2, 2], [3, 2], [6, 1], [24, 1]], 26653/1031956070400], [[[1, 9], [2, 2], [3, 2], [6, 1], [30, 1]], 20893/1289945088000], [[[1, 9], [2, 2], [3, 2], [6, 2], [7, 1]], 32694581/67421129932800], [[[1, 9], [2, 2], [3, 2], [6, 2], [9, 1]], 315211/2476694568960], [[[1, 9], [2, 2], [3, 2], [6, 2], [14, 1]], 91901/33710564966400], [[[1, 9], [2, 2], [3, 2], [6, 2], [18, 1]], 6863/619173642240], [[[1, 9], [2, 2], [3, 2], [6, 3], [8, 1]], 4238443/346737239654400], [[[1, 9], [2, 2], [3, 2], [6, 3], [10, 1]], 91901/72236924928000], [[[1, 9], [2, 2], [3, 2], [6, 3], [12, 1]], 446567/111451255603200], [[[1, 9], [2, 2], [3, 2], [7, 1], [8, 1]], 31/104509440], [[[1, 9], [2, 2], [3, 2], [7, 1], [10, 1]], 1/11612160], [[[1, 9], [2, 2], [3, 2], [7, 1], [12, 1]], 2051381/11236854988800], [[[1, 9], [2, 2], [3, 2], [8, 1], [9, 1]], 108587/1203948748800], [[[1, 9], [2, 2], [3, 2], [8, 1], [14, 1]], 1/52254720], [[[1, 9], [2, 2], [3, 2], [8, 1], [18, 1]], 1/67184640], [[[1, 9], [2, 2], [3, 2], [9, 1], [10, 1]], 61/2687385600], [[[1, 9], [2, 2], [3, 2], [9, 1], [12, 1]], 1541/27518828544], [[[1, 9], [2, 2], [3, 2], [12, 1], [14, 1]], 91901/5618427494400], [[[1, 9], [2, 2], [3, 2], [12, 1], [18, 1]], 19373/1547934105600], [[[1, 9], [2, 2], [3, 3], [4, 1], [6, 3]], 1002221/34673723965440], [[[1, 9], [2, 2], [3, 3], [4, 1], [7, 1]], 485/1337720832], [[[1, 9], [2, 2], [3, 3], [4, 1], [9, 1]], 215/1719926784], [[[1, 9], [2, 2], [3, 3], [4, 1], [14, 1]], 241/6688604160], [[[1, 9], [2, 2], [3, 3], [4, 1], [18, 1]], 241/8599633920], [[[1, 9], [2, 2], [3, 3], [4, 2], [5, 1]], 9979/42998169600], [[[1, 9], [2, 2], [3, 3], [4, 2], [6, 2]], 1008989/23115815976960], [[[1, 9], [2, 2], [3, 3], [4, 2], [8, 1]], 46253/275188285440], [[[1, 9], [2, 2], [3, 3], [4, 2], [10, 1]], 3377/114661785600], [[[1, 9], [2, 2], [3, 3], [4, 2], [12, 1]], 65448877/520105859481600], [[[1, 9], [2, 2], [3, 3], [4, 3], [6, 1]], 37747/825564856320], [[[1, 9], [2, 2], [3, 3], [5, 1], [6, 2]], 12769751/48157949952000], [[[1, 9], [2, 2], [3, 3], [5, 1], [8, 1]], 71/358318080], [[[1, 9], [2, 2], [3, 3], [5, 1], [10, 1]], 61/1492992000], [[[1, 9], [2, 2], [3, 3], [5, 1], [12, 1]], 687517/2675441664000], [[[1, 9], [2, 2], [3, 3], [6, 1], [7, 1]], 73/125411328], [[[1, 9], [2, 2], [3, 3], [6, 1], [9, 1]], 429133/2321901158400], [[[1, 9], [2, 2], [3, 3], [6, 1], [14, 1]], 241/5016453120], [[[1, 9], [2, 2], [3, 3], [6, 1], [18, 1]], 1213163/27862813900800], [[[1, 9], [2, 2], [3, 3], [6, 2], [8, 1]], 1501867/38526359961600], [[[1, 9], [2, 2], [3, 3], [6, 2], [10, 1]], 241/9555148800], [[[1, 9], [2, 2], [3, 3], [6, 2], [12, 1]], 18506897/148601674137600], [[[1, 9], [2, 2], [3, 3], [8, 1], [12, 1]], 140729/2140353331200], [[[1, 9], [2, 2], [3, 3], [10, 1], [12, 1]], 241/14332723200], [[[1, 9], [2, 2], [3, 4], [4, 1], [5, 1]], 1612018193/8668430991360000], [[[1, 9], [2, 2], [3, 4], [4, 1], [6, 2]], 2897/82556485632], [[[1, 9], [2, 2], [3, 4], [4, 1], [8, 1]], 2232493831/27738979172352000], [[[1, 9], [2, 2], [3, 4], [4, 1], [10, 1]], 106624121/8668430991360000], [[[1, 9], [2, 2], [3, 4], [4, 1], [12, 1]], 558182921/5201058594816000], [[[1, 9], [2, 2], [3, 4], [4, 2], [6, 1]], 5218509311/124825406275584000], [[[1, 9], [2, 2], [3, 4], [5, 1], [6, 1]], 743041/2579890176000], [[[1, 9], [2, 2], [3, 4], [6, 1], [8, 1]], 428377721/10402117189632000], [[[1, 9], [2, 2], [3, 4], [6, 1], [10, 1]], 57366461/6501323243520000], [[[1, 9], [2, 2], [3, 4], [6, 1], [12, 1]], 160560383/1114512556032000], [[[1, 9], [2, 2], [3, 5], [4, 1], [6, 1]], 23150849/1733686198272000], [[[1, 9], [2, 2], [4, 1], [5, 1], [6, 4]], 2466193/8668430991360000], [[[1, 9], [2, 2], [4, 1], [5, 1], [8, 2]], 2496433/10701766656000], [[[1, 9], [2, 2], [4, 1], [5, 1], [10, 2]], 46993/33443020800000], [[[1, 9], [2, 2], [4, 1], [5, 1], [12, 2]], 46993/16052649984000], [[[1, 9], [2, 2], [4, 1], [5, 1], [15, 1]], 46993/1672151040000], [[[1, 9], [2, 2], [4, 1], [5, 1], [20, 1]], 46993/1114767360000], [[[1, 9], [2, 2], [4, 1], [5, 1], [24, 1]], 46993/1337720832000], [[[1, 9], [2, 2], [4, 1], [5, 1], [30, 1]], 46993/1672151040000], [[[1, 9], [2, 2], [4, 1], [5, 2], [8, 1]], 55323143/107017666560000], [[[1, 9], [2, 2], [4, 1], [5, 2], [10, 1]], 3048313/33443020800000], [[[1, 9], [2, 2], [4, 1], [5, 2], [12, 1]], 3048313/20065812480000], [[[1, 9], [2, 2], [4, 1], [6, 2], [12, 2]], 121/9631589990400], [[[1, 9], [2, 2], [4, 1], [6, 3], [7, 1]], 1/2229534720], [[[1, 9], [2, 2], [4, 1], [6, 3], [9, 1]], 1/8599633920], [[[1, 9], [2, 2], [4, 1], [6, 4], [8, 1]], 20231/27738979172352000], [[[1, 9], [2, 2], [4, 1], [6, 4], [10, 1]], 121/8668430991360000], [[[1, 9], [2, 2], [4, 1], [6, 4], [12, 1]], 121/5201058594816000], [[[1, 9], [2, 2], [4, 1], [7, 1], [9, 1]], 5/18579456], [[[1, 9], [2, 2], [4, 1], [7, 1], [14, 1]], 3361/78033715200], [[[1, 9], [2, 2], [4, 1], [7, 1], [18, 1]], 1/30965760], [[[1, 9], [2, 2], [4, 1], [8, 1], [10, 2]], 20231/107017666560000], [[[1, 9], [2, 2], [4, 1], [8, 1], [12, 2]], 20231/51368479948800], [[[1, 9], [2, 2], [4, 1], [8, 1], [15, 1]], 20231/5350883328000], [[[1, 9], [2, 2], [4, 1], [8, 1], [16, 1]], 121/35672555520], [[[1, 9], [2, 2], [4, 1], [8, 1], [20, 1]], 24103/3567255552000], [[[1, 9], [2, 2], [4, 1], [8, 1], [24, 1]], 373/57076088832], [[[1, 9], [2, 2], [4, 1], [8, 1], [30, 1]], 20231/5350883328000], [[[1, 9], [2, 2], [4, 1], [8, 2], [10, 1]], 121/10701766656000], [[[1, 9], [2, 2], [4, 1], [8, 2], [12, 1]], 121/6421059993600], [[[1, 9], [2, 2], [4, 1], [9, 1], [14, 1]], 1/92897280], [[[1, 9], [2, 2], [4, 1], [9, 1], [18, 1]], 961/100329062400], [[[1, 9], [2, 2], [4, 1], [10, 1], [12, 2]], 121/16052649984000], [[[1, 9], [2, 2], [4, 1], [10, 1], [15, 1]], 121/1672151040000], [[[1, 9], [2, 2], [4, 1], [10, 1], [20, 1]], 121/1114767360000], [[[1, 9], [2, 2], [4, 1], [10, 1], [24, 1]], 121/1337720832000], [[[1, 9], [2, 2], [4, 1], [10, 1], [30, 1]], 121/1672151040000], [[[1, 9], [2, 2], [4, 1], [10, 2], [12, 1]], 121/20065812480000], [[[1, 9], [2, 2], [4, 1], [12, 1], [15, 1]], 121/1003290624000], [[[1, 9], [2, 2], [4, 1], [12, 1], [16, 1]], 121/133772083200], [[[1, 9], [2, 2], [4, 1], [12, 1], [20, 1]], 121/133772083200], [[[1, 9], [2, 2], [4, 1], [12, 1], [24, 1]], 121/114661785600], [[[1, 9], [2, 2], [4, 1], [12, 1], [30, 1]], 121/1003290624000], [[[1, 9], [2, 2], [4, 2], [5, 1], [6, 3]], 7/34398535680], [[[1, 9], [2, 2], [4, 2], [5, 1], [7, 1]], 1/3276800], [[[1, 9], [2, 2], [4, 2], [5, 1], [9, 1]], 53/597196800], [[[1, 9], [2, 2], [4, 2], [5, 1], [14, 1]], 1/51609600], [[[1, 9], [2, 2], [4, 2], [5, 1], [18, 1]], 7/477757440], [[[1, 9], [2, 2], [4, 2], [5, 2], [6, 1]], 8902783/481579499520000], [[[1, 9], [2, 2], [4, 2], [6, 1], [8, 2]], 4153591/154105439846400], [[[1, 9], [2, 2], [4, 2], [6, 1], [10, 2]], 48511/481579499520000], [[[1, 9], [2, 2], [4, 2], [6, 1], [12, 2]], 10867/46231631953920], [[[1, 9], [2, 2], [4, 2], [6, 1], [15, 1]], 48511/24078974976000], [[[1, 9], [2, 2], [4, 2], [6, 1], [20, 1]], 48511/16052649984000], [[[1, 9], [2, 2], [4, 2], [6, 1], [24, 1]], 48511/19263179980800], [[[1, 9], [2, 2], [4, 2], [6, 1], [30, 1]], 48511/24078974976000], [[[1, 9], [2, 2], [4, 2], [6, 2], [7, 1]], 1/33030144], [[[1, 9], [2, 2], [4, 2], [6, 2], [9, 1]], 1/127401984], [[[1, 9], [2, 2], [4, 2], [6, 2], [18, 1]], 48511/43342154956800], [[[1, 9], [2, 2], [4, 2], [6, 3], [8, 1]], 23/183458856960], [[[1, 9], [2, 2], [4, 2], [6, 3], [12, 1]], 1312709/6241270313779200], [[[1, 9], [2, 2], [4, 2], [7, 1], [8, 1]], 169/495452160], [[[1, 9], [2, 2], [4, 2], [7, 1], [10, 1]], 17/412876800], [[[1, 9], [2, 2], [4, 2], [7, 1], [12, 1]], 140101/2809213747200], [[[1, 9], [2, 2], [4, 2], [8, 1], [9, 1]], 361/3822059520], [[[1, 9], [2, 2], [4, 2], [8, 1], [14, 1]], 23/1981808640], [[[1, 9], [2, 2], [4, 2], [8, 1], [18, 1]], 23/2548039680], [[[1, 9], [2, 2], [4, 2], [9, 1], [10, 1]], 17/1592524800], [[[1, 9], [2, 2], [4, 2], [9, 1], [12, 1]], 6683/515978035200], [[[1, 9], [2, 2], [4, 2], [12, 1], [14, 1]], 61/1404606873600], [[[1, 9], [2, 2], [4, 2], [12, 1], [18, 1]], 13/386983526400], [[[1, 9], [2, 2], [4, 3], [5, 1], [8, 1]], 151/1415577600], [[[1, 9], [2, 2], [4, 3], [5, 1], [10, 1]], 23/1769472000], [[[1, 9], [2, 2], [4, 3], [5, 1], [12, 1]], 133933/4013162496000], [[[1, 9], [2, 2], [4, 3], [6, 1], [7, 1]], 5/148635648], [[[1, 9], [2, 2], [4, 3], [6, 1], [9, 1]], 11/1146617856], [[[1, 9], [2, 2], [4, 3], [6, 1], [14, 1]], 1/594542592], [[[1, 9], [2, 2], [4, 3], [6, 1], [18, 1]], 138091/57789539942400], [[[1, 9], [2, 2], [4, 3], [6, 2], [8, 1]], 31/4076863488], [[[1, 9], [2, 2], [4, 3], [6, 2], [10, 1]], 1/1274019840], [[[1, 9], [2, 2], [4, 3], [6, 2], [12, 1]], 364891/308210879692800], [[[1, 9], [2, 2], [4, 3], [8, 1], [10, 1]], 61/5662310400], [[[1, 9], [2, 2], [4, 3], [8, 1], [12, 1]], 5629/366917713920], [[[1, 9], [2, 2], [4, 3], [10, 1], [12, 1]], 121/4013162496000], [[[1, 9], [2, 2], [4, 4], [5, 1], [6, 1]], 1651/764411904000], [[[1, 9], [2, 2], [4, 4], [6, 1], [8, 1]], 34067371/3082108796928000], [[[1, 9], [2, 2], [4, 4], [6, 1], [10, 1]], 2882311/1926317998080000], [[[1, 9], [2, 2], [4, 4], [6, 1], [12, 1]], 7374281/2311581597696000], [[[1, 9], [2, 2], [5, 1], [6, 1], [8, 2]], 73/3185049600], [[[1, 9], [2, 2], [5, 1], [6, 1], [10, 2]], 1/9953280000], [[[1, 9], [2, 2], [5, 1], [6, 1], [12, 2]], 1/4777574400], [[[1, 9], [2, 2], [5, 1], [6, 1], [15, 1]], 1/497664000], [[[1, 9], [2, 2], [5, 1], [6, 1], [20, 1]], 1/331776000], [[[1, 9], [2, 2], [5, 1], [6, 1], [24, 1]], 1/398131200], [[[1, 9], [2, 2], [5, 1], [6, 1], [30, 1]], 1/497664000], [[[1, 9], [2, 2], [5, 1], [6, 2], [7, 1]], 1/19353600], [[[1, 9], [2, 2], [5, 1], [6, 2], [9, 1]], 1/74649600], [[[1, 9], [2, 2], [5, 1], [6, 2], [18, 1]], 1/895795200], [[[1, 9], [2, 2], [5, 1], [6, 3], [8, 1]], 1/2388787200], [[[1, 9], [2, 2], [5, 1], [6, 3], [12, 1]], 1/4777574400], [[[1, 9], [2, 2], [5, 1], [7, 1], [8, 1]], 1/1433600], [[[1, 9], [2, 2], [5, 1], [7, 1], [10, 1]], 1/5376000], [[[1, 9], [2, 2], [5, 1], [8, 1], [9, 1]], 1/4976640], [[[1, 9], [2, 2], [5, 1], [8, 1], [14, 1]], 1/25804800], [[[1, 9], [2, 2], [5, 1], [8, 1], [18, 1]], 1/33177600], [[[1, 9], [2, 2], [5, 1], [9, 1], [10, 1]], 1/20736000], [[[1, 9], [2, 2], [5, 2], [6, 1], [8, 1]], 3048313/40131624960000], [[[1, 9], [2, 2], [5, 2], [6, 1], [10, 1]], 1596733/25082265600000], [[[1, 9], [2, 2], [5, 2], [6, 1], [12, 1]], 331789/4299816960000], [[[1, 9], [2, 2], [6, 1], [7, 1], [9, 1]], 1/41803776], [[[1, 9], [2, 2], [6, 1], [7, 1], [18, 1]], 4021/2106910310400], [[[1, 9], [2, 2], [6, 1], [8, 1], [10, 2]], 121/40131624960000], [[[1, 9], [2, 2], [6, 1], [8, 1], [12, 2]], 121/19263179980800], [[[1, 9], [2, 2], [6, 1], [8, 1], [15, 1]], 121/2006581248000], [[[1, 9], [2, 2], [6, 1], [8, 1], [20, 1]], 121/1337720832000], [[[1, 9], [2, 2], [6, 1], [8, 1], [24, 1]], 121/1605264998400], [[[1, 9], [2, 2], [6, 1], [8, 1], [30, 1]], 121/2006581248000], [[[1, 9], [2, 2], [6, 1], [8, 2], [10, 1]], 61/8026324992000], [[[1, 9], [2, 2], [6, 1], [8, 2], [12, 1]], 13/1375941427200], [[[1, 9], [2, 2], [6, 1], [9, 1], [18, 1]], 203/386983526400], [[[1, 9], [2, 2], [6, 1], [10, 1], [12, 2]], 61/12039487488000], [[[1, 9], [2, 2], [6, 1], [10, 1], [15, 1]], 61/1254113280000], [[[1, 9], [2, 2], [6, 1], [10, 1], [20, 1]], 61/836075520000], [[[1, 9], [2, 2], [6, 1], [10, 1], [24, 1]], 61/1003290624000], [[[1, 9], [2, 2], [6, 1], [10, 1], [30, 1]], 61/1254113280000], [[[1, 9], [2, 2], [6, 1], [10, 2], [12, 1]], 13/4299816960000], [[[1, 9], [2, 2], [6, 1], [12, 1], [15, 1]], 13/214990848000], [[[1, 9], [2, 2], [6, 1], [12, 1], [20, 1]], 13/143327232000], [[[1, 9], [2, 2], [6, 1], [12, 1], [24, 1]], 13/171992678400], [[[1, 9], [2, 2], [6, 1], [12, 1], [30, 1]], 13/214990848000], [[[1, 9], [2, 2], [6, 1], [14, 1], [18, 1]], 61/1053455155200], [[[1, 9], [2, 2], [6, 2], [7, 1], [12, 1]], 4021/11236854988800], [[[1, 9], [2, 2], [6, 2], [8, 1], [18, 1]], 121/3611846246400], [[[1, 9], [2, 2], [6, 2], [9, 1], [12, 1]], 203/2063912140800], [[[1, 9], [2, 2], [6, 2], [10, 1], [18, 1]], 61/2257403904000], [[[1, 9], [2, 2], [6, 2], [12, 1], [14, 1]], 61/5618427494400], [[[1, 9], [2, 2], [6, 2], [12, 1], [18, 1]], 13/309586821120], [[[1, 9], [2, 2], [6, 3], [8, 1], [12, 1]], 121/19263179980800], [[[1, 9], [2, 2], [6, 3], [10, 1], [12, 1]], 61/12039487488000], [[[1, 9], [2, 4], [3, 1], [4, 1], [5, 2]], 735076613/481579499520000], [[[1, 9], [2, 4], [3, 1], [4, 1], [6, 4]], 3784746661/124825406275584000], [[[1, 9], [2, 4], [3, 1], [4, 1], [8, 2]], 10503737/22015062835200], [[[1, 9], [2, 4], [3, 1], [4, 1], [10, 2]], 10041221/481579499520000], [[[1, 9], [2, 4], [3, 1], [4, 1], [12, 2]], 3486341/231158159769600], [[[1, 9], [2, 4], [3, 1], [4, 1], [15, 1]], 928901/24078974976000], [[[1, 9], [2, 4], [3, 1], [4, 1], [16, 1]], 37/477757440], [[[1, 9], [2, 4], [3, 1], [4, 1], [20, 1]], 928901/16052649984000], [[[1, 9], [2, 4], [3, 1], [4, 1], [24, 1]], 928901/19263179980800], [[[1, 9], [2, 4], [3, 1], [4, 1], [30, 1]], 928901/24078974976000], [[[1, 9], [2, 4], [3, 1], [4, 2], [6, 3]], 297377939/2080423437926400], [[[1, 9], [2, 4], [3, 1], [4, 2], [7, 1]], 362617/321052999680], [[[1, 9], [2, 4], [3, 1], [4, 2], [9, 1]], 547818563/1386948958617600], [[[1, 9], [2, 4], [3, 1], [4, 2], [14, 1]], 761/4161798144], [[[1, 9], [2, 4], [3, 1], [4, 2], [18, 1]], 49669/361184624640], [[[1, 9], [2, 4], [3, 1], [4, 3], [5, 1]], 7057/10701766656], [[[1, 9], [2, 4], [3, 1], [4, 3], [6, 2]], 201727/917294284800], [[[1, 9], [2, 4], [3, 1], [4, 3], [8, 1]], 8971159/10273695989760], [[[1, 9], [2, 4], [3, 1], [4, 3], [10, 1]], 18989/114661785600], [[[1, 9], [2, 4], [3, 1], [4, 3], [12, 1]], 19894241/57789539942400], [[[1, 9], [2, 4], [3, 1], [4, 4], [6, 1]], 1760060431/9246326390784000], [[[1, 9], [2, 4], [3, 1], [5, 1], [6, 3]], 117281933/650132324352000], [[[1, 9], [2, 4], [3, 1], [5, 1], [7, 1]], 24709/26011238400], [[[1, 9], [2, 4], [3, 1], [5, 1], [9, 1]], 74863/200658124800], [[[1, 9], [2, 4], [3, 1], [5, 1], [14, 1]], 622493/2341011456000], [[[1, 9], [2, 4], [3, 1], [5, 1], [18, 1]], 1704653/9029615616000], [[[1, 9], [2, 4], [3, 1], [5, 2], [6, 1]], 175145893/120394874880000], [[[1, 9], [2, 4], [3, 1], [6, 1], [8, 2]], 1410403/5503765708800], [[[1, 9], [2, 4], [3, 1], [6, 1], [10, 2]], 1651621/120394874880000], [[[1, 9], [2, 4], [3, 1], [6, 1], [12, 2]], 514387/57789539942400], [[[1, 9], [2, 4], [3, 1], [6, 1], [15, 1]], 92581/6019743744000], [[[1, 9], [2, 4], [3, 1], [6, 1], [20, 1]], 92581/4013162496000], [[[1, 9], [2, 4], [3, 1], [6, 1], [24, 1]], 139381/4815794995200], [[[1, 9], [2, 4], [3, 1], [6, 1], [30, 1]], 92581/6019743744000], [[[1, 9], [2, 4], [3, 1], [6, 2], [7, 1]], 821683/2022633897984], [[[1, 9], [2, 4], [3, 1], [6, 2], [9, 1]], 11665201/97519848652800], [[[1, 9], [2, 4], [3, 1], [6, 2], [14, 1]], 922183/33710564966400], [[[1, 9], [2, 4], [3, 1], [6, 2], [18, 1]], 85679/2889476997120], [[[1, 9], [2, 4], [3, 1], [6, 3], [8, 1]], 27493421/520105859481600], [[[1, 9], [2, 4], [3, 1], [6, 3], [10, 1]], 1019063/72236924928000], [[[1, 9], [2, 4], [3, 1], [6, 3], [12, 1]], 1432697/74300837068800], [[[1, 9], [2, 4], [3, 1], [7, 1], [8, 1]], 23621/46820229120], [[[1, 9], [2, 4], [3, 1], [7, 1], [10, 1]], 307/1161216000], [[[1, 9], [2, 4], [3, 1], [7, 1], [12, 1]], 1231/20808990720], [[[1, 9], [2, 4], [3, 1], [8, 1], [9, 1]], 5060621/28894769971200], [[[1, 9], [2, 4], [3, 1], [8, 1], [14, 1]], 54727/624269721600], [[[1, 9], [2, 4], [3, 1], [8, 1], [18, 1]], 468221/7223692492800], [[[1, 9], [2, 4], [3, 1], [9, 1], [10, 1]], 7514431/90296156160000], [[[1, 9], [2, 4], [3, 1], [9, 1], [12, 1]], 4877/240789749760], [[[1, 9], [2, 4], [3, 1], [10, 1], [14, 1]], 29/1045094400], [[[1, 9], [2, 4], [3, 1], [10, 1], [18, 1]], 19/895795200], [[[1, 9], [2, 4], [3, 1], [12, 1], [14, 1]], 19181/1872809164800], [[[1, 9], [2, 4], [3, 1], [12, 1], [18, 1]], 54701/7223692492800], [[[1, 9], [2, 4], [3, 2], [4, 1], [6, 3]], 2047416649/4160846875852800], [[[1, 9], [2, 4], [3, 2], [4, 1], [7, 1]], 4951/5016453120], [[[1, 9], [2, 4], [3, 2], [4, 1], [9, 1]], 5591927/14447384985600], [[[1, 9], [2, 4], [3, 2], [4, 1], [14, 1]], 1181/5016453120], [[[1, 9], [2, 4], [3, 2], [4, 1], [18, 1]], 2203/12899450880], [[[1, 9], [2, 4], [3, 2], [4, 2], [5, 1]], 891529/687970713600], [[[1, 9], [2, 4], [3, 2], [4, 2], [6, 2]], 17146072271/19021014289612800], [[[1, 9], [2, 4], [3, 2], [4, 2], [8, 1]], 63739/55037657088], [[[1, 9], [2, 4], [3, 2], [4, 2], [10, 1]], 241027/859963392000], [[[1, 9], [2, 4], [3, 2], [4, 2], [12, 1]], 12355645609/22191183337881600], [[[1, 9], [2, 4], [3, 2], [4, 3], [6, 1]], 609978871/924632639078400], [[[1, 9], [2, 4], [3, 2], [5, 1], [6, 2]], 293786191/173368619827200], [[[1, 9], [2, 4], [3, 2], [5, 1], [8, 1]], 73013/100329062400], [[[1, 9], [2, 4], [3, 2], [5, 1], [10, 1]], 133/311040000], [[[1, 9], [2, 4], [3, 2], [5, 1], [12, 1]], 295261/1070176665600], [[[1, 9], [2, 4], [3, 2], [6, 1], [7, 1]], 38256301/33710564966400], [[[1, 9], [2, 4], [3, 2], [6, 1], [9, 1]], 3526541/8668430991360], [[[1, 9], [2, 4], [3, 2], [6, 1], [14, 1]], 294017/1348422598656], [[[1, 9], [2, 4], [3, 2], [6, 1], [18, 1]], 349169/2063912140800], [[[1, 9], [2, 4], [3, 2], [6, 2], [8, 1]], 600123037/924632639078400], [[[1, 9], [2, 4], [3, 2], [6, 2], [10, 1]], 29020133/107017666560000], [[[1, 9], [2, 4], [3, 2], [6, 2], [12, 1]], 31445657/148601674137600], [[[1, 9], [2, 4], [3, 2], [8, 1], [10, 1]], 91/895795200], [[[1, 9], [2, 4], [3, 2], [8, 1], [12, 1]], 2863883/22015062835200], [[[1, 9], [2, 4], [3, 2], [10, 1], [12, 1]], 29878591/481579499520000], [[[1, 9], [2, 4], [3, 3], [4, 1], [5, 1]], 7285/8026324992], [[[1, 9], [2, 4], [3, 3], [4, 1], [6, 2]], 1675020757/1386948958617600], [[[1, 9], [2, 4], [3, 3], [4, 1], [8, 1]], 247127891/462316319539200], [[[1, 9], [2, 4], [3, 3], [4, 1], [10, 1]], 20347/120394874880], [[[1, 9], [2, 4], [3, 3], [4, 1], [12, 1]], 82158341/231158159769600], [[[1, 9], [2, 4], [3, 3], [4, 2], [6, 1]], 2039003291/2080423437926400], [[[1, 9], [2, 4], [3, 3], [5, 1], [6, 1]], 94866253/72236924928000], [[[1, 9], [2, 4], [3, 3], [6, 1], [8, 1]], 31860461/57789539942400], [[[1, 9], [2, 4], [3, 3], [6, 1], [10, 1]], 50830781/216710774784000], [[[1, 9], [2, 4], [3, 3], [6, 1], [12, 1]], 25353017/74300837068800], [[[1, 9], [2, 4], [3, 4], [4, 1], [6, 1]], 23215980161/41608468758528000], [[[1, 9], [2, 4], [4, 1], [5, 1], [6, 3]], 20689933/433421549568000], [[[1, 9], [2, 4], [4, 1], [5, 1], [7, 1]], 19783/13005619200], [[[1, 9], [2, 4], [4, 1], [5, 1], [9, 1]], 4603/8360755200], [[[1, 9], [2, 4], [4, 1], [5, 1], [14, 1]], 517093/1560674304000], [[[1, 9], [2, 4], [4, 1], [5, 1], [18, 1]], 1457293/6019743744000], [[[1, 9], [2, 4], [4, 1], [5, 2], [6, 1]], 73026433/160526499840000], [[[1, 9], [2, 4], [4, 1], [6, 1], [8, 2]], 8062207/51368479948800], [[[1, 9], [2, 4], [4, 1], [6, 1], [10, 2]], 1345009/160526499840000], [[[1, 9], [2, 4], [4, 1], [6, 1], [12, 2]], 36071/11007531417600], [[[1, 9], [2, 4], [4, 1], [6, 1], [15, 1]], 63361/8026324992000], [[[1, 9], [2, 4], [4, 1], [6, 1], [20, 1]], 63361/5350883328000], [[[1, 9], [2, 4], [4, 1], [6, 1], [24, 1]], 63361/6421059993600], [[[1, 9], [2, 4], [4, 1], [6, 1], [30, 1]], 63361/8026324992000], [[[1, 9], [2, 4], [4, 1], [6, 2], [7, 1]], 101/557383680], [[[1, 9], [2, 4], [4, 1], [6, 2], [9, 1]], 221/4299816960], [[[1, 9], [2, 4], [4, 1], [6, 2], [14, 1]], 19/2229534720], [[[1, 9], [2, 4], [4, 1], [6, 2], [18, 1]], 159121/14447384985600], [[[1, 9], [2, 4], [4, 1], [6, 3], [8, 1]], 10994887/693474479308800], [[[1, 9], [2, 4], [4, 1], [6, 3], [10, 1]], 1803541/433421549568000], [[[1, 9], [2, 4], [4, 1], [6, 3], [12, 1]], 2429479/416084687585280], [[[1, 9], [2, 4], [4, 1], [7, 1], [8, 1]], 4243231/4994157772800], [[[1, 9], [2, 4], [4, 1], [7, 1], [10, 1]], 4663/13005619200], [[[1, 9], [2, 4], [4, 1], [7, 1], [12, 1]], 379/7803371520], [[[1, 9], [2, 4], [4, 1], [8, 1], [9, 1]], 1740371/6421059993600], [[[1, 9], [2, 4], [4, 1], [8, 1], [14, 1]], 42431/416179814400], [[[1, 9], [2, 4], [4, 1], [8, 1], [18, 1]], 743527/9631589990400], [[[1, 9], [2, 4], [4, 1], [9, 1], [10, 1]], 851/8360755200], [[[1, 9], [2, 4], [4, 1], [9, 1], [12, 1]], 37/2508226560], [[[1, 9], [2, 4], [4, 1], [10, 1], [14, 1]], 26701/1560674304000], [[[1, 9], [2, 4], [4, 1], [10, 1], [18, 1]], 79861/6019743744000], [[[1, 9], [2, 4], [4, 1], [12, 1], [14, 1]], 4021/936404582400], [[[1, 9], [2, 4], [4, 1], [12, 1], [18, 1]], 11821/3611846246400], [[[1, 9], [2, 4], [4, 2], [5, 1], [6, 2]], 9017/57330892800], [[[1, 9], [2, 4], [4, 2], [5, 1], [8, 1]], 10694773/7134511104000], [[[1, 9], [2, 4], [4, 2], [5, 1], [10, 1]], 89171/185794560000], [[[1, 9], [2, 4], [4, 2], [5, 1], [12, 1]], 14783/38220595200], [[[1, 9], [2, 4], [4, 2], [6, 1], [7, 1]], 11997331/22473709977600], [[[1, 9], [2, 4], [4, 2], [6, 1], [9, 1]], 695453/4127824281600], [[[1, 9], [2, 4], [4, 2], [6, 1], [14, 1]], 676051/11236854988800], [[[1, 9], [2, 4], [4, 2], [6, 1], [18, 1]], 80057507/1386948958617600], [[[1, 9], [2, 4], [4, 2], [6, 2], [8, 1]], 5099341/38526359961600], [[[1, 9], [2, 4], [4, 2], [6, 2], [10, 1]], 1074841/24078974976000], [[[1, 9], [2, 4], [4, 2], [6, 2], [12, 1]], 443833069/9510507144806400], [[[1, 9], [2, 4], [4, 2], [8, 1], [10, 1]], 1331041/7134511104000], [[[1, 9], [2, 4], [4, 2], [8, 1], [12, 1]], 611581/3852635996160], [[[1, 9], [2, 4], [4, 2], [10, 1], [12, 1]], 350273/17199267840000], [[[1, 9], [2, 4], [4, 3], [5, 1], [6, 1]], 6564343/32105299968000], [[[1, 9], [2, 4], [4, 3], [6, 1], [8, 1]], 30368201/102736959897600], [[[1, 9], [2, 4], [4, 3], [6, 1], [10, 1]], 207473/3057647616000], [[[1, 9], [2, 4], [4, 3], [6, 1], [12, 1]], 13829687/154105439846400], [[[1, 9], [2, 4], [5, 1], [6, 1], [7, 1]], 31/77414400], [[[1, 9], [2, 4], [5, 1], [6, 1], [9, 1]], 29/223948800], [[[1, 9], [2, 4], [5, 1], [6, 1], [14, 1]], 1/19353600], [[[1, 9], [2, 4], [5, 1], [6, 1], [18, 1]], 3079/66886041600], [[[1, 9], [2, 4], [5, 1], [6, 2], [8, 1]], 19/199065600], [[[1, 9], [2, 4], [5, 1], [6, 2], [10, 1]], 7/165888000], [[[1, 9], [2, 4], [5, 1], [6, 2], [12, 1]], 10919/356725555200], [[[1, 9], [2, 4], [5, 1], [8, 1], [10, 1]], 53/221184000], [[[1, 9], [2, 4], [6, 1], [7, 1], [8, 1]], 2479/15606743040], [[[1, 9], [2, 4], [6, 1], [7, 1], [10, 1]], 125101/2341011456000], [[[1, 9], [2, 4], [6, 1], [7, 1], [12, 1]], 140461/5618427494400], [[[1, 9], [2, 4], [6, 1], [8, 1], [9, 1]], 17/371589120], [[[1, 9], [2, 4], [6, 1], [8, 1], [14, 1]], 16621/1872809164800], [[[1, 9], [2, 4], [6, 1], [8, 1], [18, 1]], 7531/825564856320], [[[1, 9], [2, 4], [6, 1], [9, 1], [10, 1]], 44381/3009871872000], [[[1, 9], [2, 4], [6, 1], [9, 1], [12, 1]], 54701/7223692492800], [[[1, 9], [2, 4], [6, 1], [10, 1], [14, 1]], 1381/780337152000], [[[1, 9], [2, 4], [6, 1], [10, 1], [18, 1]], 181561/90296156160000], [[[1, 9], [2, 4], [6, 1], [12, 1], [14, 1]], 2437/1123685498880], [[[1, 9], [2, 4], [6, 1], [12, 1], [18, 1]], 35827/21671077478400], [[[1, 9], [2, 4], [6, 2], [8, 1], [10, 1]], 16621/4013162496000], [[[1, 9], [2, 4], [6, 2], [8, 1], [12, 1]], 859037/154105439846400], [[[1, 9], [2, 4], [6, 2], [10, 1], [12, 1]], 547111/481579499520000], [[[1, 9], [2, 6], [3, 1], [4, 1], [6, 3]], 2312533283/6241270313779200], [[[1, 9], [2, 6], [3, 1], [4, 1], [7, 1]], 460843/936404582400], [[[1, 9], [2, 6], [3, 1], [4, 1], [9, 1]], 255196871/1155790798848000], [[[1, 9], [2, 6], [3, 1], [4, 1], [14, 1]], 949087/4494741995520], [[[1, 9], [2, 6], [3, 1], [4, 1], [18, 1]], 12378503/86684309913600], [[[1, 9], [2, 6], [3, 1], [4, 2], [5, 1]], 262131269/220150628352000], [[[1, 9], [2, 6], [3, 1], [4, 2], [6, 2]], 24192509377/22191183337881600], [[[1, 9], [2, 6], [3, 1], [4, 2], [8, 1]], 1859888099/1232843518771200], [[[1, 9], [2, 6], [3, 1], [4, 2], [10, 1]], 15863993/32105299968000], [[[1, 9], [2, 6], [3, 1], [4, 2], [12, 1]], 67400381/176120502681600], [[[1, 9], [2, 6], [3, 1], [4, 3], [6, 1]], 2541344339/1849265278156800], [[[1, 9], [2, 6], [3, 1], [5, 1], [6, 2]], 59924803/108355387392000], [[[1, 9], [2, 6], [3, 1], [5, 1], [8, 1]], 25733/59454259200], [[[1, 9], [2, 6], [3, 1], [5, 1], [10, 1]], 51296363/100329062400000], [[[1, 9], [2, 6], [3, 1], [5, 1], [12, 1]], 8623/191102976000], [[[1, 9], [2, 6], [3, 1], [6, 1], [7, 1]], 14085223/37924385587200], [[[1, 9], [2, 6], [3, 1], [6, 1], [9, 1]], 3459407027/23404763676672000], [[[1, 9], [2, 6], [3, 1], [6, 1], [14, 1]], 10915/96315899904], [[[1, 9], [2, 6], [3, 1], [6, 1], [18, 1]], 511339/6191736422400], [[[1, 9], [2, 6], [3, 1], [6, 2], [8, 1]], 16762603/49533891379200], [[[1, 9], [2, 6], [3, 1], [6, 2], [10, 1]], 92426911/481579499520000], [[[1, 9], [2, 6], [3, 1], [6, 2], [12, 1]], 51994457/693474479308800], [[[1, 9], [2, 6], [3, 1], [8, 1], [10, 1]], 1491629/8918138880000], [[[1, 9], [2, 6], [3, 1], [8, 1], [12, 1]], 4343/142690222080], [[[1, 9], [2, 6], [3, 1], [10, 1], [12, 1]], 1574471/80263249920000], [[[1, 9], [2, 6], [3, 2], [4, 1], [5, 1]], 819533/963158999040], [[[1, 9], [2, 6], [3, 2], [4, 1], [6, 2]], 231702838613/110955916689408000], [[[1, 9], [2, 6], [3, 2], [4, 1], [8, 1]], 1328489/1834588569600], [[[1, 9], [2, 6], [3, 2], [4, 1], [10, 1]], 1230223/3439853568000], [[[1, 9], [2, 6], [3, 2], [4, 1], [12, 1]], 589845859/2641807540224000], [[[1, 9], [2, 6], [3, 2], [4, 2], [6, 1]], 50924792153/24965081255116800], [[[1, 9], [2, 6], [3, 2], [5, 1], [6, 1]], 635087057/650132324352000], [[[1, 9], [2, 6], [3, 2], [6, 1], [8, 1]], 299644243/462316319539200], [[[1, 9], [2, 6], [3, 2], [6, 1], [10, 1]], 97795069/240789749760000], [[[1, 9], [2, 6], [3, 2], [6, 1], [12, 1]], 2561229941/17832200896512000], [[[1, 9], [2, 6], [3, 3], [4, 1], [6, 1]], 795055259/693474479308800], [[[1, 9], [2, 6], [4, 1], [5, 1], [6, 2]], 42078289/144473849856000], [[[1, 9], [2, 6], [4, 1], [5, 1], [8, 1]], 3532859/3567255552000], [[[1, 9], [2, 6], [4, 1], [5, 1], [10, 1]], 62994643/66886041600000], [[[1, 9], [2, 6], [4, 1], [5, 1], [12, 1]], 737/12740198400], [[[1, 9], [2, 6], [4, 1], [6, 1], [7, 1]], 17327/52022476800], [[[1, 9], [2, 6], [4, 1], [6, 1], [9, 1]], 302689/2407897497600], [[[1, 9], [2, 6], [4, 1], [6, 1], [14, 1]], 631951/7491236659200], [[[1, 9], [2, 6], [4, 1], [6, 1], [18, 1]], 76718111/1155790798848000], [[[1, 9], [2, 6], [4, 1], [6, 2], [8, 1]], 97714427/462316319539200], [[[1, 9], [2, 6], [4, 1], [6, 2], [10, 1]], 194711/1805923123200], [[[1, 9], [2, 6], [4, 1], [6, 2], [12, 1]], 3158078719/55477958344704000], [[[1, 9], [2, 6], [4, 1], [8, 1], [10, 1]], 7255699/23781703680000], [[[1, 9], [2, 6], [4, 1], [8, 1], [12, 1]], 24679/428070666240], [[[1, 9], [2, 6], [4, 1], [10, 1], [12, 1]], 662821/40131624960000], [[[1, 9], [2, 6], [4, 2], [5, 1], [6, 1]], 8913907/13759414272000], [[[1, 9], [2, 6], [4, 2], [6, 1], [8, 1]], 871178879/1232843518771200], [[[1, 9], [2, 6], [4, 2], [6, 1], [10, 1]], 1173324469/3852635996160000], [[[1, 9], [2, 6], [4, 2], [6, 1], [12, 1]], 1558905587/8916100448256000], [[[1, 9], [2, 6], [5, 1], [6, 1], [8, 1]], 10447/42467328000], [[[1, 9], [2, 6], [5, 1], [6, 1], [10, 1]], 54059/278691840000], [[[1, 9], [2, 6], [5, 1], [6, 1], [12, 1]], 8437/267544166400], [[[1, 9], [2, 6], [6, 1], [8, 1], [10, 1]], 11123797/160526499840000], [[[1, 9], [2, 6], [6, 1], [8, 1], [12, 1]], 1288291/77052719923200], [[[1, 9], [2, 6], [6, 1], [10, 1], [12, 1]], 1024087/120394874880000], [[[1, 9], [2, 8], [3, 1], [4, 1], [5, 1]], 14796077/72236924928000], [[[1, 9], [2, 8], [3, 1], [4, 1], [6, 2]], 14018321741/31206351568896000], [[[1, 9], [2, 8], [3, 1], [4, 1], [8, 1]], 14149162051/55477958344704000], [[[1, 9], [2, 8], [3, 1], [4, 1], [10, 1]], 464648363/2889476997120000], [[[1, 9], [2, 8], [3, 1], [4, 1], [12, 1]], 1553911/49533891379200], [[[1, 9], [2, 8], [3, 1], [4, 2], [6, 1]], 4102388957/4755253572403200], [[[1, 9], [2, 8], [3, 1], [5, 1], [6, 1]], 636252629/3715041853440000], [[[1, 9], [2, 8], [3, 1], [6, 1], [8, 1]], 3292433411/20804234379264000], [[[1, 9], [2, 8], [3, 1], [6, 1], [10, 1]], 10169507/80263249920000], [[[1, 9], [2, 8], [3, 1], [6, 1], [12, 1]], 296156171/20804234379264000], [[[1, 9], [2, 8], [3, 2], [4, 1], [6, 1]], 90847299379/166433875034112000], [[[1, 9], [2, 8], [4, 1], [5, 1], [6, 1]], 433526929/2476694568960000], [[[1, 9], [2, 8], [4, 1], [6, 1], [8, 1]], 1645458611/7925422620672000], [[[1, 9], [2, 8], [4, 1], [6, 1], [10, 1]], 4501750067/34673723965440000], [[[1, 9], [2, 8], [4, 1], [6, 1], [12, 1]], 432315613/16643387503411200], [[[1, 9], [2, 10], [3, 1], [4, 1], [6, 1]], 4332503083891/69902227514327040000], [[[1, 9], [3, 1], [4, 1], [5, 2], [8, 1]], 2593/47775744000], [[[1, 9], [3, 1], [4, 1], [6, 4], [8, 1]], 1/12383472844800], [[[1, 9], [3, 1], [4, 1], [8, 1], [10, 2]], 1/47775744000], [[[1, 9], [3, 1], [4, 1], [8, 1], [12, 2]], 1/22932357120], [[[1, 9], [3, 1], [4, 1], [8, 1], [15, 1]], 1/2388787200], [[[1, 9], [3, 1], [4, 1], [8, 1], [20, 1]], 1/1592524800], [[[1, 9], [3, 1], [4, 1], [8, 1], [24, 1]], 1/1911029760], [[[1, 9], [3, 1], [4, 1], [8, 1], [30, 1]], 1/2388787200], [[[1, 9], [3, 1], [4, 2], [5, 1], [7, 1]], 13/309657600], [[[1, 9], [3, 1], [4, 2], [5, 1], [9, 1]], 1/88473600], [[[1, 9], [3, 1], [4, 2], [6, 2], [7, 1]], 1/891813888], [[[1, 9], [3, 1], [4, 2], [6, 2], [9, 1]], 1/3439853568], [[[1, 9], [3, 1], [4, 2], [7, 1], [12, 1]], 151/20065812480], [[[1, 9], [3, 1], [4, 2], [9, 1], [12, 1]], 10571/5417769369600], [[[1, 9], [3, 1], [4, 3], [5, 1], [8, 1]], 13/1415577600], [[[1, 9], [3, 1], [4, 3], [6, 2], [8, 1]], 1/4076863488], [[[1, 9], [3, 1], [4, 3], [8, 1], [12, 1]], 151/91729428480], [[[1, 9], [3, 1], [5, 1], [6, 2], [7, 1]], 1/58060800], [[[1, 9], [3, 1], [5, 1], [6, 2], [9, 1]], 1/223948800], [[[1, 9], [3, 1], [5, 1], [7, 1], [12, 1]], 1/9676800], [[[1, 9], [3, 1], [5, 1], [9, 1], [12, 1]], 1/37324800], [[[1, 9], [3, 1], [6, 1], [7, 1], [18, 1]], 1/940584960], [[[1, 9], [3, 1], [6, 1], [9, 1], [18, 1]], 41/145118822400], [[[1, 9], [3, 1], [6, 2], [7, 1], [12, 1]], 1/5016453120], [[[1, 9], [3, 1], [6, 2], [9, 1], [12, 1]], 1121/21671077478400], [[[1, 9], [3, 2], [4, 1], [7, 1], [8, 1]], 1/18579456], [[[1, 9], [3, 2], [4, 1], [8, 1], [9, 1]], 61/4299816960], [[[1, 9], [3, 2], [4, 2], [5, 1], [6, 2]], 7/5096079360], [[[1, 9], [3, 2], [4, 2], [5, 1], [12, 1]], 3731/343985356800], [[[1, 9], [3, 2], [4, 2], [6, 1], [18, 1]], 19/77396705280], [[[1, 9], [3, 2], [4, 2], [6, 2], [12, 1]], 50333/173368619827200], [[[1, 9], [3, 2], [5, 1], [6, 1], [18, 1]], 7/2015539200], [[[1, 9], [3, 2], [5, 1], [6, 2], [12, 1]], 43/10749542400], [[[1, 9], [3, 2], [6, 1], [12, 1], [18, 1]], 4481/21671077478400], [[[1, 9], [3, 3], [4, 1], [5, 1], [8, 1]], 61/2388787200], [[[1, 9], [3, 3], [4, 1], [6, 2], [8, 1]], 241/137594142720], [[[1, 9], [3, 3], [4, 1], [8, 1], [12, 1]], 241/22932357120], [[[1, 9], [4, 1], [5, 1], [7, 1], [8, 1]], 1/8601600], [[[1, 9], [4, 1], [5, 1], [8, 1], [9, 1]], 1/33177600], [[[1, 9], [4, 2], [5, 1], [6, 1], [18, 1]], 1/2388787200], [[[1, 9], [4, 2], [5, 1], [6, 2], [12, 1]], 1/12740198400], [[[1, 9], [4, 2], [6, 1], [12, 1], [18, 1]], 1/5417769369600], [[[1, 10], [2, 1], [3, 1], [4, 1], [6, 5]], 281/15603175784448000], [[[1, 10], [2, 1], [3, 1], [4, 2], [5, 2]], 7406303/481579499520000], [[[1, 10], [2, 1], [3, 1], [4, 2], [6, 4]], 3551/124825406275584000], [[[1, 10], [2, 1], [3, 1], [4, 2], [8, 2]], 434471/154105439846400], [[[1, 10], [2, 1], [3, 1], [4, 2], [10, 2]], 3551/481579499520000], [[[1, 10], [2, 1], [3, 1], [4, 2], [12, 2]], 41/1712282664960], [[[1, 10], [2, 1], [3, 1], [4, 2], [15, 1]], 3551/24078974976000], [[[1, 10], [2, 1], [3, 1], [4, 2], [20, 1]], 3551/16052649984000], [[[1, 10], [2, 1], [3, 1], [4, 2], [24, 1]], 3551/19263179980800], [[[1, 10], [2, 1], [3, 1], [4, 2], [30, 1]], 3551/24078974976000], [[[1, 10], [2, 1], [3, 1], [4, 3], [6, 3]], 1/18345885696], [[[1, 10], [2, 1], [3, 1], [4, 3], [7, 1]], 191/26754416640], [[[1, 10], [2, 1], [3, 1], [4, 3], [9, 1]], 108851/57789539942400], [[[1, 10], [2, 1], [3, 1], [4, 4], [5, 1]], 2355743/1926317998080000], [[[1, 10], [2, 1], [3, 1], [4, 4], [6, 2]], 330781/13869489586176000], [[[1, 10], [2, 1], [3, 1], [4, 4], [8, 1]], 5238731/3082108796928000], [[[1, 10], [2, 1], [3, 1], [4, 4], [12, 1]], 157607/770527199232000], [[[1, 10], [2, 1], [3, 1], [4, 5], [6, 1]], 425531/4623163195392000], [[[1, 10], [2, 1], [3, 1], [5, 1], [6, 4]], 2693/6501323243520000], [[[1, 10], [2, 1], [3, 1], [5, 1], [8, 2]], 2693/8026324992000], [[[1, 10], [2, 1], [3, 1], [5, 1], [10, 2]], 2693/25082265600000], [[[1, 10], [2, 1], [3, 1], [5, 1], [12, 2]], 2693/12039487488000], [[[1, 10], [2, 1], [3, 1], [5, 1], [15, 1]], 2693/1254113280000], [[[1, 10], [2, 1], [3, 1], [5, 1], [20, 1]], 2693/836075520000], [[[1, 10], [2, 1], [3, 1], [5, 1], [24, 1]], 2693/1003290624000], [[[1, 10], [2, 1], [3, 1], [5, 1], [30, 1]], 2693/1254113280000], [[[1, 10], [2, 1], [3, 1], [5, 2], [6, 2]], 870943/180592312320000], [[[1, 10], [2, 1], [3, 1], [5, 2], [8, 1]], 871193/40131624960000], [[[1, 10], [2, 1], [3, 1], [5, 2], [12, 1]], 870943/30098718720000], [[[1, 10], [2, 1], [3, 1], [6, 2], [8, 2]], 31/57789539942400], [[[1, 10], [2, 1], [3, 1], [6, 2], [10, 2]], 31/180592312320000], [[[1, 10], [2, 1], [3, 1], [6, 2], [12, 2]], 31/12383472844800], [[[1, 10], [2, 1], [3, 1], [6, 2], [15, 1]], 31/9029615616000], [[[1, 10], [2, 1], [3, 1], [6, 2], [20, 1]], 31/6019743744000], [[[1, 10], [2, 1], [3, 1], [6, 2], [24, 1]], 31/7223692492800], [[[1, 10], [2, 1], [3, 1], [6, 2], [30, 1]], 31/9029615616000], [[[1, 10], [2, 1], [3, 1], [6, 3], [7, 1]], 1/45148078080], [[[1, 10], [2, 1], [3, 1], [6, 3], [9, 1]], 1121/195039697305600], [[[1, 10], [2, 1], [3, 1], [6, 3], [18, 1]], 31/16253308108800], [[[1, 10], [2, 1], [3, 1], [6, 4], [8, 1]], 281/10402117189632000], [[[1, 10], [2, 1], [3, 1], [6, 4], [12, 1]], 403/1114512556032000], [[[1, 10], [2, 1], [3, 1], [7, 1], [9, 1]], 23021/1053455155200], [[[1, 10], [2, 1], [3, 1], [7, 1], [14, 1]], 1/487710720], [[[1, 10], [2, 1], [3, 1], [7, 1], [18, 1]], 1/627056640], [[[1, 10], [2, 1], [3, 1], [8, 1], [10, 2]], 281/40131624960000], [[[1, 10], [2, 1], [3, 1], [8, 1], [12, 2]], 281/19263179980800], [[[1, 10], [2, 1], [3, 1], [8, 1], [15, 1]], 281/2006581248000], [[[1, 10], [2, 1], [3, 1], [8, 1], [20, 1]], 281/1337720832000], [[[1, 10], [2, 1], [3, 1], [8, 1], [24, 1]], 281/1605264998400], [[[1, 10], [2, 1], [3, 1], [8, 1], [30, 1]], 281/2006581248000], [[[1, 10], [2, 1], [3, 1], [8, 2], [12, 1]], 31/9631589990400], [[[1, 10], [2, 1], [3, 1], [9, 1], [14, 1]], 1121/2106910310400], [[[1, 10], [2, 1], [3, 1], [9, 1], [18, 1]], 1121/2708884684800], [[[1, 10], [2, 1], [3, 1], [10, 2], [12, 1]], 31/30098718720000], [[[1, 10], [2, 1], [3, 1], [12, 1], [15, 1]], 31/1504935936000], [[[1, 10], [2, 1], [3, 1], [12, 1], [20, 1]], 31/1003290624000], [[[1, 10], [2, 1], [3, 1], [12, 1], [24, 1]], 31/1203948748800], [[[1, 10], [2, 1], [3, 1], [12, 1], [30, 1]], 31/1504935936000], [[[1, 10], [2, 1], [3, 2], [4, 1], [5, 2]], 6509/143327232000], [[[1, 10], [2, 1], [3, 2], [4, 1], [6, 4]], 163/7430083706880], [[[1, 10], [2, 1], [3, 2], [4, 1], [8, 2]], 197/45864714240], [[[1, 10], [2, 1], [3, 2], [4, 1], [10, 2]], 1/28665446400], [[[1, 10], [2, 1], [3, 2], [4, 1], [12, 2]], 4247/3210529996800], [[[1, 10], [2, 1], [3, 2], [4, 1], [15, 1]], 1/1433272320], [[[1, 10], [2, 1], [3, 2], [4, 1], [20, 1]], 1/955514880], [[[1, 10], [2, 1], [3, 2], [4, 1], [24, 1]], 1/1146617856], [[[1, 10], [2, 1], [3, 2], [4, 1], [30, 1]], 1/1433272320], [[[1, 10], [2, 1], [3, 2], [4, 2], [6, 3]], 829/3715041853440], [[[1, 10], [2, 1], [3, 2], [4, 2], [7, 1]], 113/10032906240], [[[1, 10], [2, 1], [3, 2], [4, 2], [9, 1]], 5213/1605264998400], [[[1, 10], [2, 1], [3, 2], [4, 2], [14, 1]], 19/40131624960], [[[1, 10], [2, 1], [3, 2], [4, 2], [18, 1]], 19/51597803520], [[[1, 10], [2, 1], [3, 2], [4, 3], [5, 1]], 73/9555148800], [[[1, 10], [2, 1], [3, 2], [4, 3], [6, 2]], 429731/1849265278156800], [[[1, 10], [2, 1], [3, 2], [4, 3], [8, 1]], 623/183458856960], [[[1, 10], [2, 1], [3, 2], [4, 3], [10, 1]], 19/57330892800], [[[1, 10], [2, 1], [3, 2], [4, 3], [12, 1]], 76619/34245653299200], [[[1, 10], [2, 1], [3, 2], [4, 4], [6, 1]], 6099731/18492652781568000], [[[1, 10], [2, 1], [3, 2], [5, 1], [6, 3]], 331/96745881600], [[[1, 10], [2, 1], [3, 2], [5, 1], [7, 1]], 7/49766400], [[[1, 10], [2, 1], [3, 2], [5, 1], [9, 1]], 3439/83607552000], [[[1, 10], [2, 1], [3, 2], [5, 1], [14, 1]], 1/149299200], [[[1, 10], [2, 1], [3, 2], [5, 1], [18, 1]], 7/1343692800], [[[1, 10], [2, 1], [3, 2], [5, 2], [6, 1]], 11761793/240789749760000], [[[1, 10], [2, 1], [3, 2], [6, 1], [8, 2]], 4481/77052719923200], [[[1, 10], [2, 1], [3, 2], [6, 1], [10, 2]], 4481/240789749760000], [[[1, 10], [2, 1], [3, 2], [6, 1], [12, 2]], 4481/16511297126400], [[[1, 10], [2, 1], [3, 2], [6, 1], [15, 1]], 4481/12039487488000], [[[1, 10], [2, 1], [3, 2], [6, 1], [20, 1]], 4481/8026324992000], [[[1, 10], [2, 1], [3, 2], [6, 1], [24, 1]], 4481/9631589990400], [[[1, 10], [2, 1], [3, 2], [6, 1], [30, 1]], 4481/12039487488000], [[[1, 10], [2, 1], [3, 2], [6, 2], [7, 1]], 91901/33710564966400], [[[1, 10], [2, 1], [3, 2], [6, 2], [9, 1]], 3221/4334215495680], [[[1, 10], [2, 1], [3, 2], [6, 2], [14, 1]], 4481/67421129932800], [[[1, 10], [2, 1], [3, 2], [6, 2], [18, 1]], 4481/17336861982720], [[[1, 10], [2, 1], [3, 2], [6, 3], [8, 1]], 4481/115579079884800], [[[1, 10], [2, 1], [3, 2], [6, 3], [10, 1]], 4481/144473849856000], [[[1, 10], [2, 1], [3, 2], [6, 3], [12, 1]], 85139/1040211718963200], [[[1, 10], [2, 1], [3, 2], [7, 1], [8, 1]], 1/52254720], [[[1, 10], [2, 1], [3, 2], [7, 1], [12, 1]], 91901/5618427494400], [[[1, 10], [2, 1], [3, 2], [8, 1], [9, 1]], 6067/1203948748800], [[[1, 10], [2, 1], [3, 2], [9, 1], [12, 1]], 3221/722369249280], [[[1, 10], [2, 1], [3, 2], [12, 1], [14, 1]], 4481/11236854988800], [[[1, 10], [2, 1], [3, 2], [12, 1], [18, 1]], 4481/14447384985600], [[[1, 10], [2, 1], [3, 3], [4, 1], [6, 3]], 4799/11557907988480], [[[1, 10], [2, 1], [3, 3], [4, 1], [7, 1]], 241/6688604160], [[[1, 10], [2, 1], [3, 3], [4, 1], [9, 1]], 251/25798901760], [[[1, 10], [2, 1], [3, 3], [4, 2], [5, 1]], 1733/171992678400], [[[1, 10], [2, 1], [3, 3], [4, 2], [6, 2]], 184117/462316319539200], [[[1, 10], [2, 1], [3, 3], [4, 2], [8, 1]], 995/110075314176], [[[1, 10], [2, 1], [3, 3], [4, 2], [12, 1]], 17226149/6241270313779200], [[[1, 10], [2, 1], [3, 3], [4, 3], [6, 1]], 637/825564856320], [[[1, 10], [2, 1], [3, 3], [5, 1], [6, 2]], 121111/24078974976000], [[[1, 10], [2, 1], [3, 3], [5, 1], [8, 1]], 89/7166361600], [[[1, 10], [2, 1], [3, 3], [5, 1], [12, 1]], 121111/4013162496000], [[[1, 10], [2, 1], [3, 3], [6, 1], [7, 1]], 241/5016453120], [[[1, 10], [2, 1], [3, 3], [6, 1], [9, 1]], 10163/802632499200], [[[1, 10], [2, 1], [3, 3], [6, 1], [18, 1]], 72271/146279772979200], [[[1, 10], [2, 1], [3, 3], [6, 2], [8, 1]], 23987/38526359961600], [[[1, 10], [2, 1], [3, 3], [6, 2], [12, 1]], 506269/780158789222400], [[[1, 10], [2, 1], [3, 3], [8, 1], [12, 1]], 23987/6421059993600], [[[1, 10], [2, 1], [3, 4], [4, 1], [5, 1]], 156286313/8668430991360000], [[[1, 10], [2, 1], [3, 4], [4, 1], [6, 2]], 487/412782428160], [[[1, 10], [2, 1], [3, 4], [4, 1], [8, 1]], 187712131/27738979172352000], [[[1, 10], [2, 1], [3, 4], [4, 1], [10, 1]], 8108801/8668430991360000], [[[1, 10], [2, 1], [3, 4], [4, 1], [12, 1]], 44926001/5201058594816000], [[[1, 10], [2, 1], [3, 4], [4, 2], [6, 1]], 989/412782428160], [[[1, 10], [2, 1], [3, 4], [5, 1], [6, 1]], 251/10749542400], [[[1, 10], [2, 1], [3, 4], [6, 1], [8, 1]], 8108801/10402117189632000], [[[1, 10], [2, 1], [3, 4], [6, 1], [10, 1]], 8108801/13002646487040000], [[[1, 10], [2, 1], [3, 4], [6, 1], [12, 1]], 15097613/1486016741376000], [[[1, 10], [2, 1], [3, 5], [4, 1], [6, 1]], 2927027/5201058594816000], [[[1, 10], [2, 1], [4, 1], [5, 1], [6, 4]], 1513/8668430991360000], [[[1, 10], [2, 1], [4, 1], [5, 1], [8, 2]], 92233/10701766656000], [[[1, 10], [2, 1], [4, 1], [5, 1], [10, 2]], 1513/33443020800000], [[[1, 10], [2, 1], [4, 1], [5, 1], [12, 2]], 1513/16052649984000], [[[1, 10], [2, 1], [4, 1], [5, 1], [15, 1]], 1513/1672151040000], [[[1, 10], [2, 1], [4, 1], [5, 1], [20, 1]], 1513/1114767360000], [[[1, 10], [2, 1], [4, 1], [5, 1], [24, 1]], 1513/1337720832000], [[[1, 10], [2, 1], [4, 1], [5, 1], [30, 1]], 1513/1672151040000], [[[1, 10], [2, 1], [4, 1], [5, 2], [8, 1]], 4499843/107017666560000], [[[1, 10], [2, 1], [4, 1], [5, 2], [10, 1]], 145153/33443020800000], [[[1, 10], [2, 1], [4, 1], [5, 2], [12, 1]], 145153/20065812480000], [[[1, 10], [2, 1], [4, 1], [6, 2], [12, 2]], 1/9631589990400], [[[1, 10], [2, 1], [4, 1], [6, 4], [8, 1]], 131/27738979172352000], [[[1, 10], [2, 1], [4, 1], [6, 4], [10, 1]], 1/8668430991360000], [[[1, 10], [2, 1], [4, 1], [6, 4], [12, 1]], 1/5201058594816000], [[[1, 10], [2, 1], [4, 1], [7, 1], [9, 1]], 1/92897280], [[[1, 10], [2, 1], [4, 1], [7, 1], [14, 1]], 1/78033715200], [[[1, 10], [2, 1], [4, 1], [8, 1], [10, 2]], 131/107017666560000], [[[1, 10], [2, 1], [4, 1], [8, 1], [12, 2]], 131/51368479948800], [[[1, 10], [2, 1], [4, 1], [8, 1], [15, 1]], 131/5350883328000], [[[1, 10], [2, 1], [4, 1], [8, 1], [16, 1]], 1/35672555520], [[[1, 10], [2, 1], [4, 1], [8, 1], [20, 1]], 163/3567255552000], [[[1, 10], [2, 1], [4, 1], [8, 1], [24, 1]], 13/285380444160], [[[1, 10], [2, 1], [4, 1], [8, 1], [30, 1]], 131/5350883328000], [[[1, 10], [2, 1], [4, 1], [8, 2], [10, 1]], 1/10701766656000], [[[1, 10], [2, 1], [4, 1], [8, 2], [12, 1]], 1/6421059993600], [[[1, 10], [2, 1], [4, 1], [9, 1], [18, 1]], 1/100329062400], [[[1, 10], [2, 1], [4, 1], [10, 1], [12, 2]], 1/16052649984000], [[[1, 10], [2, 1], [4, 1], [10, 1], [15, 1]], 1/1672151040000], [[[1, 10], [2, 1], [4, 1], [10, 1], [20, 1]], 1/1114767360000], [[[1, 10], [2, 1], [4, 1], [10, 1], [24, 1]], 1/1337720832000], [[[1, 10], [2, 1], [4, 1], [10, 1], [30, 1]], 1/1672151040000], [[[1, 10], [2, 1], [4, 1], [10, 2], [12, 1]], 1/20065812480000], [[[1, 10], [2, 1], [4, 1], [12, 1], [15, 1]], 1/1003290624000], [[[1, 10], [2, 1], [4, 1], [12, 1], [16, 1]], 1/133772083200], [[[1, 10], [2, 1], [4, 1], [12, 1], [20, 1]], 1/133772083200], [[[1, 10], [2, 1], [4, 1], [12, 1], [24, 1]], 1/114661785600], [[[1, 10], [2, 1], [4, 1], [12, 1], [30, 1]], 1/1003290624000], [[[1, 10], [2, 1], [4, 2], [5, 1], [6, 3]], 1/114661785600], [[[1, 10], [2, 1], [4, 2], [5, 1], [7, 1]], 1/51609600], [[[1, 10], [2, 1], [4, 2], [5, 1], [9, 1]], 13/2388787200], [[[1, 10], [2, 1], [4, 2], [5, 1], [14, 1]], 1/1238630400], [[[1, 10], [2, 1], [4, 2], [5, 1], [18, 1]], 1/1592524800], [[[1, 10], [2, 1], [4, 2], [6, 1], [12, 2]], 1/4815794995200], [[[1, 10], [2, 1], [4, 2], [6, 3], [12, 1]], 1/260052929740800], [[[1, 10], [2, 1], [4, 2], [7, 1], [8, 1]], 23/1981808640], [[[1, 10], [2, 1], [4, 2], [7, 1], [12, 1]], 61/1404606873600], [[[1, 10], [2, 1], [4, 2], [8, 1], [9, 1]], 23/7644119040], [[[1, 10], [2, 1], [4, 2], [9, 1], [12, 1]], 31/2708884684800], [[[1, 10], [2, 1], [4, 2], [12, 1], [14, 1]], 1/2809213747200], [[[1, 10], [2, 1], [4, 2], [12, 1], [18, 1]], 1/3611846246400], [[[1, 10], [2, 1], [4, 3], [5, 1], [8, 1]], 11/1887436800], [[[1, 10], [2, 1], [4, 3], [5, 1], [10, 1]], 1/1769472000], [[[1, 10], [2, 1], [4, 3], [5, 1], [12, 1]], 5293/4013162496000], [[[1, 10], [2, 1], [4, 3], [6, 1], [7, 1]], 1/594542592], [[[1, 10], [2, 1], [4, 3], [6, 1], [9, 1]], 1/2293235712], [[[1, 10], [2, 1], [4, 3], [6, 1], [18, 1]], 1891/57789539942400], [[[1, 10], [2, 1], [4, 3], [6, 2], [12, 1]], 1891/308210879692800], [[[1, 10], [2, 1], [4, 3], [8, 1], [12, 1]], 31/2568423997440], [[[1, 10], [2, 1], [4, 3], [10, 1], [12, 1]], 1/4013162496000], [[[1, 10], [2, 1], [4, 4], [6, 1], [8, 1]], 1181251/3082108796928000], [[[1, 10], [2, 1], [4, 4], [6, 1], [10, 1]], 47251/3852635996160000], [[[1, 10], [2, 1], [4, 4], [6, 1], [12, 1]], 47251/3082108796928000], [[[1, 10], [2, 1], [5, 1], [7, 1], [8, 1]], 1/25804800], [[[1, 10], [2, 1], [5, 1], [8, 1], [9, 1]], 1/99532800], [[[1, 10], [2, 1], [5, 2], [6, 1], [8, 1]], 145153/40131624960000], [[[1, 10], [2, 1], [5, 2], [6, 1], [10, 1]], 145153/50164531200000], [[[1, 10], [2, 1], [5, 2], [6, 1], [12, 1]], 145153/40131624960000], [[[1, 10], [2, 1], [6, 1], [7, 1], [18, 1]], 61/1053455155200], [[[1, 10], [2, 1], [6, 1], [8, 1], [10, 2]], 1/40131624960000], [[[1, 10], [2, 1], [6, 1], [8, 1], [12, 2]], 1/19263179980800], [[[1, 10], [2, 1], [6, 1], [8, 1], [15, 1]], 1/2006581248000], [[[1, 10], [2, 1], [6, 1], [8, 1], [20, 1]], 1/1337720832000], [[[1, 10], [2, 1], [6, 1], [8, 1], [24, 1]], 1/1605264998400], [[[1, 10], [2, 1], [6, 1], [8, 1], [30, 1]], 1/2006581248000], [[[1, 10], [2, 1], [6, 1], [8, 2], [10, 1]], 1/16052649984000], [[[1, 10], [2, 1], [6, 1], [8, 2], [12, 1]], 1/12842119987200], [[[1, 10], [2, 1], [6, 1], [9, 1], [18, 1]], 31/2031663513600], [[[1, 10], [2, 1], [6, 1], [10, 1], [12, 2]], 1/24078974976000], [[[1, 10], [2, 1], [6, 1], [10, 1], [15, 1]], 1/2508226560000], [[[1, 10], [2, 1], [6, 1], [10, 1], [20, 1]], 1/1672151040000], [[[1, 10], [2, 1], [6, 1], [10, 1], [24, 1]], 1/2006581248000], [[[1, 10], [2, 1], [6, 1], [10, 1], [30, 1]], 1/2508226560000], [[[1, 10], [2, 1], [6, 1], [10, 2], [12, 1]], 1/40131624960000], [[[1, 10], [2, 1], [6, 1], [12, 1], [15, 1]], 1/2006581248000], [[[1, 10], [2, 1], [6, 1], [12, 1], [20, 1]], 1/1337720832000], [[[1, 10], [2, 1], [6, 1], [12, 1], [24, 1]], 1/1605264998400], [[[1, 10], [2, 1], [6, 1], [12, 1], [30, 1]], 1/2006581248000], [[[1, 10], [2, 1], [6, 1], [14, 1], [18, 1]], 1/2106910310400], [[[1, 10], [2, 1], [6, 2], [7, 1], [12, 1]], 61/5618427494400], [[[1, 10], [2, 1], [6, 2], [8, 1], [18, 1]], 1/3611846246400], [[[1, 10], [2, 1], [6, 2], [9, 1], [12, 1]], 31/10835538739200], [[[1, 10], [2, 1], [6, 2], [10, 1], [18, 1]], 1/4514807808000], [[[1, 10], [2, 1], [6, 2], [12, 1], [14, 1]], 1/11236854988800], [[[1, 10], [2, 1], [6, 2], [12, 1], [18, 1]], 1/2889476997120], [[[1, 10], [2, 1], [6, 3], [8, 1], [12, 1]], 1/19263179980800], [[[1, 10], [2, 1], [6, 3], [10, 1], [12, 1]], 1/24078974976000], [[[1, 10], [2, 3], [3, 1], [4, 1], [5, 2]], 4841833/13759414272000], [[[1, 10], [2, 3], [3, 1], [4, 1], [6, 4]], 51347851/124825406275584000], [[[1, 10], [2, 3], [3, 1], [4, 1], [8, 2]], 6749609/154105439846400], [[[1, 10], [2, 3], [3, 1], [4, 1], [10, 2]], 347531/481579499520000], [[[1, 10], [2, 3], [3, 1], [4, 1], [12, 2]], 62047/46231631953920], [[[1, 10], [2, 3], [3, 1], [4, 1], [15, 1]], 105611/24078974976000], [[[1, 10], [2, 3], [3, 1], [4, 1], [16, 1]], 1/477757440], [[[1, 10], [2, 3], [3, 1], [4, 1], [20, 1]], 105611/16052649984000], [[[1, 10], [2, 3], [3, 1], [4, 1], [24, 1]], 105611/19263179980800], [[[1, 10], [2, 3], [3, 1], [4, 1], [30, 1]], 105611/24078974976000], [[[1, 10], [2, 3], [3, 1], [4, 2], [6, 3]], 50398727/6241270313779200], [[[1, 10], [2, 3], [3, 1], [4, 2], [7, 1]], 761/4161798144], [[[1, 10], [2, 3], [3, 1], [4, 2], [9, 1]], 2449883/46231631953920], [[[1, 10], [2, 3], [3, 1], [4, 2], [14, 1]], 207371/22473709977600], [[[1, 10], [2, 3], [3, 1], [4, 2], [18, 1]], 615011/86684309913600], [[[1, 10], [2, 3], [3, 1], [4, 3], [5, 1]], 5185703/64210599936000], [[[1, 10], [2, 3], [3, 1], [4, 3], [6, 2]], 13339349/924632639078400], [[[1, 10], [2, 3], [3, 1], [4, 3], [8, 1]], 7638913/102736959897600], [[[1, 10], [2, 3], [3, 1], [4, 3], [10, 1]], 263/29727129600], [[[1, 10], [2, 3], [3, 1], [4, 3], [12, 1]], 9775687/462316319539200], [[[1, 10], [2, 3], [3, 1], [4, 4], [6, 1]], 13622129/1109559166894080], [[[1, 10], [2, 3], [3, 1], [5, 1], [6, 3]], 318433/26005292974080], [[[1, 10], [2, 3], [3, 1], [5, 1], [7, 1]], 622493/2341011456000], [[[1, 10], [2, 3], [3, 1], [5, 1], [9, 1]], 75577/859963392000], [[[1, 10], [2, 3], [3, 1], [5, 1], [14, 1]], 28933/780337152000], [[[1, 10], [2, 3], [3, 1], [5, 1], [18, 1]], 1997/72236924928], [[[1, 10], [2, 3], [3, 1], [5, 2], [6, 1]], 22212259/72236924928000], [[[1, 10], [2, 3], [3, 1], [6, 1], [8, 2]], 1827323/115579079884800], [[[1, 10], [2, 3], [3, 1], [6, 1], [10, 2]], 5639/14447384985600], [[[1, 10], [2, 3], [3, 1], [6, 1], [12, 2]], 21241/34673723965440], [[[1, 10], [2, 3], [3, 1], [6, 1], [15, 1]], 4003/3611846246400], [[[1, 10], [2, 3], [3, 1], [6, 1], [20, 1]], 4003/2407897497600], [[[1, 10], [2, 3], [3, 1], [6, 1], [24, 1]], 24371/14447384985600], [[[1, 10], [2, 3], [3, 1], [6, 1], [30, 1]], 4003/3611846246400], [[[1, 10], [2, 3], [3, 1], [6, 2], [7, 1]], 922183/33710564966400], [[[1, 10], [2, 3], [3, 1], [6, 2], [9, 1]], 944879/130026464870400], [[[1, 10], [2, 3], [3, 1], [6, 2], [14, 1]], 11107/33710564966400], [[[1, 10], [2, 3], [3, 1], [6, 2], [18, 1]], 37711/43342154956800], [[[1, 10], [2, 3], [3, 1], [6, 3], [8, 1]], 35573/74300837068800], [[[1, 10], [2, 3], [3, 1], [6, 3], [10, 1]], 3889/24078974976000], [[[1, 10], [2, 3], [3, 1], [6, 3], [12, 1]], 98141/312063515688960], [[[1, 10], [2, 3], [3, 1], [7, 1], [8, 1]], 54727/624269721600], [[[1, 10], [2, 3], [3, 1], [7, 1], [10, 1]], 29/1045094400], [[[1, 10], [2, 3], [3, 1], [7, 1], [12, 1]], 19181/1872809164800], [[[1, 10], [2, 3], [3, 1], [8, 1], [9, 1]], 108377/4127824281600], [[[1, 10], [2, 3], [3, 1], [8, 1], [14, 1]], 6221/936404582400], [[[1, 10], [2, 3], [3, 1], [8, 1], [18, 1]], 1313/257989017600], [[[1, 10], [2, 3], [3, 1], [9, 1], [10, 1]], 27401/3611846246400], [[[1, 10], [2, 3], [3, 1], [9, 1], [12, 1]], 2447/802632499200], [[[1, 10], [2, 3], [3, 1], [10, 1], [14, 1]], 1/1393459200], [[[1, 10], [2, 3], [3, 1], [10, 1], [18, 1]], 1/1791590400], [[[1, 10], [2, 3], [3, 1], [12, 1], [14, 1]], 4387/5618427494400], [[[1, 10], [2, 3], [3, 1], [12, 1], [18, 1]], 12913/21671077478400], [[[1, 10], [2, 3], [3, 2], [4, 1], [6, 3]], 134728411/4160846875852800], [[[1, 10], [2, 3], [3, 2], [4, 1], [7, 1]], 1181/5016453120], [[[1, 10], [2, 3], [3, 2], [4, 1], [9, 1]], 1095097/14447384985600], [[[1, 10], [2, 3], [3, 2], [4, 1], [14, 1]], 41/1672151040], [[[1, 10], [2, 3], [3, 2], [4, 1], [18, 1]], 241/12899450880], [[[1, 10], [2, 3], [3, 2], [4, 2], [5, 1]], 46939/200658124800], [[[1, 10], [2, 3], [3, 2], [4, 2], [6, 2]], 285573937/4438236667576320], [[[1, 10], [2, 3], [3, 2], [4, 2], [8, 1]], 261029/1926317998080], [[[1, 10], [2, 3], [3, 2], [4, 2], [10, 1]], 7061/343985356800], [[[1, 10], [2, 3], [3, 2], [4, 2], [12, 1]], 2396557/35224100536320], [[[1, 10], [2, 3], [3, 2], [4, 3], [6, 1]], 12972061/231158159769600], [[[1, 10], [2, 3], [3, 2], [5, 1], [6, 2]], 129351191/577895399424000], [[[1, 10], [2, 3], [3, 2], [5, 1], [8, 1]], 582613/4013162496000], [[[1, 10], [2, 3], [3, 2], [5, 1], [10, 1]], 217/4478976000], [[[1, 10], [2, 3], [3, 2], [5, 1], [12, 1]], 2099677/32105299968000], [[[1, 10], [2, 3], [3, 2], [6, 1], [7, 1]], 294017/1348422598656], [[[1, 10], [2, 3], [3, 2], [6, 1], [9, 1]], 2866831/43342154956800], [[[1, 10], [2, 3], [3, 2], [6, 1], [14, 1]], 598447/33710564966400], [[[1, 10], [2, 3], [3, 2], [6, 1], [18, 1]], 43369/2889476997120], [[[1, 10], [2, 3], [3, 2], [6, 2], [8, 1]], 2053879/44030125670400], [[[1, 10], [2, 3], [3, 2], [6, 2], [10, 1]], 1778167/192631799808000], [[[1, 10], [2, 3], [3, 2], [6, 2], [12, 1]], 197041/12383472844800], [[[1, 10], [2, 3], [3, 2], [8, 1], [10, 1]], 1/149299200], [[[1, 10], [2, 3], [3, 2], [8, 1], [12, 1]], 17261/880602513408], [[[1, 10], [2, 3], [3, 2], [10, 1], [12, 1]], 21877/3852635996160], [[[1, 10], [2, 3], [3, 3], [4, 1], [5, 1]], 4789739/20639121408000], [[[1, 10], [2, 3], [3, 3], [4, 1], [6, 2]], 6929731/55477958344704], [[[1, 10], [2, 3], [3, 3], [4, 1], [8, 1]], 65304257/693474479308800], [[[1, 10], [2, 3], [3, 3], [4, 1], [10, 1]], 432323/20639121408000], [[[1, 10], [2, 3], [3, 3], [4, 1], [12, 1]], 48107401/693474479308800], [[[1, 10], [2, 3], [3, 3], [4, 2], [6, 1]], 736299103/6241270313779200], [[[1, 10], [2, 3], [3, 3], [5, 1], [6, 1]], 4246117/14447384985600], [[[1, 10], [2, 3], [3, 3], [6, 1], [8, 1]], 1907759/24766945689600], [[[1, 10], [2, 3], [3, 3], [6, 1], [10, 1]], 14833747/650132324352000], [[[1, 10], [2, 3], [3, 3], [6, 1], [12, 1]], 3519673/62412703137792], [[[1, 10], [2, 3], [3, 4], [4, 1], [6, 1]], 4504690963/41608468758528000], [[[1, 10], [2, 3], [4, 1], [5, 1], [6, 3]], 43969/15479341056000], [[[1, 10], [2, 3], [4, 1], [5, 1], [7, 1]], 517093/1560674304000], [[[1, 10], [2, 3], [4, 1], [5, 1], [9, 1]], 29099/286654464000], [[[1, 10], [2, 3], [4, 1], [5, 1], [14, 1]], 24253/780337152000], [[[1, 10], [2, 3], [4, 1], [5, 1], [18, 1]], 5089/214990848000], [[[1, 10], [2, 3], [4, 1], [5, 2], [6, 1]], 13743859/160526499840000], [[[1, 10], [2, 3], [4, 1], [6, 1], [8, 2]], 350989/51368479948800], [[[1, 10], [2, 3], [4, 1], [6, 1], [10, 2]], 1237/22932357120000], [[[1, 10], [2, 3], [4, 1], [6, 1], [12, 2]], 8627/77052719923200], [[[1, 10], [2, 3], [4, 1], [6, 1], [15, 1]], 2803/8026324992000], [[[1, 10], [2, 3], [4, 1], [6, 1], [20, 1]], 2803/5350883328000], [[[1, 10], [2, 3], [4, 1], [6, 1], [24, 1]], 2803/6421059993600], [[[1, 10], [2, 3], [4, 1], [6, 1], [30, 1]], 2803/8026324992000], [[[1, 10], [2, 3], [4, 1], [6, 2], [7, 1]], 19/2229534720], [[[1, 10], [2, 3], [4, 1], [6, 2], [9, 1]], 19/8599633920], [[[1, 10], [2, 3], [4, 1], [6, 2], [18, 1]], 2803/14447384985600], [[[1, 10], [2, 3], [4, 1], [6, 3], [8, 1]], 7603/173368619827200], [[[1, 10], [2, 3], [4, 1], [6, 3], [10, 1]], 13/15479341056000], [[[1, 10], [2, 3], [4, 1], [6, 3], [12, 1]], 78593/2080423437926400], [[[1, 10], [2, 3], [4, 1], [7, 1], [8, 1]], 42431/416179814400], [[[1, 10], [2, 3], [4, 1], [7, 1], [10, 1]], 26701/1560674304000], [[[1, 10], [2, 3], [4, 1], [7, 1], [12, 1]], 4021/936404582400], [[[1, 10], [2, 3], [4, 1], [8, 1], [9, 1]], 274817/9631589990400], [[[1, 10], [2, 3], [4, 1], [8, 1], [14, 1]], 10181/2497078886400], [[[1, 10], [2, 3], [4, 1], [8, 1], [18, 1]], 7603/2407897497600], [[[1, 10], [2, 3], [4, 1], [9, 1], [10, 1]], 1283/286654464000], [[[1, 10], [2, 3], [4, 1], [9, 1], [12, 1]], 203/171992678400], [[[1, 10], [2, 3], [4, 1], [10, 1], [14, 1]], 61/780337152000], [[[1, 10], [2, 3], [4, 1], [10, 1], [18, 1]], 13/214990848000], [[[1, 10], [2, 3], [4, 1], [12, 1], [14, 1]], 61/468202291200], [[[1, 10], [2, 3], [4, 1], [12, 1], [18, 1]], 13/128994508800], [[[1, 10], [2, 3], [4, 2], [5, 1], [6, 2]], 623/38220595200], [[[1, 10], [2, 3], [4, 2], [5, 1], [8, 1]], 1149023/7134511104000], [[[1, 10], [2, 3], [4, 2], [5, 1], [10, 1]], 63113/2229534720000], [[[1, 10], [2, 3], [4, 2], [5, 1], [12, 1]], 31939/891813888000], [[[1, 10], [2, 3], [4, 2], [6, 1], [7, 1]], 676051/11236854988800], [[[1, 10], [2, 3], [4, 2], [6, 1], [9, 1]], 362281/21671077478400], [[[1, 10], [2, 3], [4, 2], [6, 1], [14, 1]], 48511/22473709977600], [[[1, 10], [2, 3], [4, 2], [6, 1], [18, 1]], 592063/231158159769600], [[[1, 10], [2, 3], [4, 2], [6, 2], [8, 1]], 205381/38526359961600], [[[1, 10], [2, 3], [4, 2], [6, 2], [10, 1]], 48511/48157949952000], [[[1, 10], [2, 3], [4, 2], [6, 2], [12, 1]], 2264809/1585084524134400], [[[1, 10], [2, 3], [4, 2], [8, 1], [10, 1]], 49211/7134511104000], [[[1, 10], [2, 3], [4, 2], [8, 1], [12, 1]], 20413/3852635996160], [[[1, 10], [2, 3], [4, 2], [10, 1], [12, 1]], 2543/24078974976000], [[[1, 10], [2, 3], [4, 3], [5, 1], [6, 1]], 632143/32105299968000], [[[1, 10], [2, 3], [4, 3], [6, 1], [8, 1]], 2228683/102736959897600], [[[1, 10], [2, 3], [4, 3], [6, 1], [10, 1]], 49801/16052649984000], [[[1, 10], [2, 3], [4, 3], [6, 1], [12, 1]], 149969/38526359961600], [[[1, 10], [2, 3], [5, 1], [6, 1], [7, 1]], 1/19353600], [[[1, 10], [2, 3], [5, 1], [6, 1], [9, 1]], 13/895795200], [[[1, 10], [2, 3], [5, 1], [6, 1], [14, 1]], 1/464486400], [[[1, 10], [2, 3], [5, 1], [6, 1], [18, 1]], 5191/2006581248000], [[[1, 10], [2, 3], [5, 1], [6, 2], [8, 1]], 1/199065600], [[[1, 10], [2, 3], [5, 1], [6, 2], [10, 1]], 1/995328000], [[[1, 10], [2, 3], [5, 1], [6, 2], [12, 1]], 15271/10701766656000], [[[1, 10], [2, 3], [5, 1], [8, 1], [10, 1]], 1/73728000], [[[1, 10], [2, 3], [6, 1], [7, 1], [8, 1]], 16621/1872809164800], [[[1, 10], [2, 3], [6, 1], [7, 1], [10, 1]], 1381/780337152000], [[[1, 10], [2, 3], [6, 1], [7, 1], [12, 1]], 2437/1123685498880], [[[1, 10], [2, 3], [6, 1], [8, 1], [9, 1]], 803/343985356800], [[[1, 10], [2, 3], [6, 1], [8, 1], [14, 1]], 61/936404582400], [[[1, 10], [2, 3], [6, 1], [8, 1], [18, 1]], 869/4127824281600], [[[1, 10], [2, 3], [6, 1], [9, 1], [10, 1]], 4387/9029615616000], [[[1, 10], [2, 3], [6, 1], [9, 1], [12, 1]], 12913/21671077478400], [[[1, 10], [2, 3], [6, 1], [10, 1], [14, 1]], 41/780337152000], [[[1, 10], [2, 3], [6, 1], [10, 1], [18, 1]], 157/2579890176000], [[[1, 10], [2, 3], [6, 1], [12, 1], [14, 1]], 367/5618427494400], [[[1, 10], [2, 3], [6, 1], [12, 1], [18, 1]], 73/1444738498560], [[[1, 10], [2, 3], [6, 2], [8, 1], [10, 1]], 61/2006581248000], [[[1, 10], [2, 3], [6, 2], [8, 1], [12, 1]], 1493/22015062835200], [[[1, 10], [2, 3], [6, 2], [10, 1], [12, 1]], 3301/96315899904000], [[[1, 10], [2, 5], [3, 1], [4, 1], [6, 3]], 317641613/6241270313779200], [[[1, 10], [2, 5], [3, 1], [4, 1], [7, 1]], 949087/4494741995520], [[[1, 10], [2, 5], [3, 1], [4, 1], [9, 1]], 89278531/1155790798848000], [[[1, 10], [2, 5], [3, 1], [4, 1], [14, 1]], 64657/1404606873600], [[[1, 10], [2, 5], [3, 1], [4, 1], [18, 1]], 1446157/43342154956800], [[[1, 10], [2, 5], [3, 1], [4, 2], [5, 1]], 331968653/770527199232000], [[[1, 10], [2, 5], [3, 1], [4, 2], [6, 2]], 50445643/260052929740800], [[[1, 10], [2, 5], [3, 1], [4, 2], [8, 1]], 403441343/1232843518771200], [[[1, 10], [2, 5], [3, 1], [4, 2], [10, 1]], 12641783/137594142720000], [[[1, 10], [2, 5], [3, 1], [4, 2], [12, 1]], 63713537/693474479308800], [[[1, 10], [2, 5], [3, 1], [4, 3], [6, 1]], 401486179/1849265278156800], [[[1, 10], [2, 5], [3, 1], [5, 1], [6, 2]], 4244347/30958682112000], [[[1, 10], [2, 5], [3, 1], [5, 1], [8, 1]], 5262083/32105299968000], [[[1, 10], [2, 5], [3, 1], [5, 1], [10, 1]], 317281/2786918400000], [[[1, 10], [2, 5], [3, 1], [5, 1], [12, 1]], 187/10701766656], [[[1, 10], [2, 5], [3, 1], [6, 1], [7, 1]], 10915/96315899904], [[[1, 10], [2, 5], [3, 1], [6, 1], [9, 1]], 49534987/1300264648704000], [[[1, 10], [2, 5], [3, 1], [6, 1], [14, 1]], 148879/8427641241600], [[[1, 10], [2, 5], [3, 1], [6, 1], [18, 1]], 345203/24766945689600], [[[1, 10], [2, 5], [3, 1], [6, 2], [8, 1]], 68554579/1386948958617600], [[[1, 10], [2, 5], [3, 1], [6, 2], [10, 1]], 4281379/240789749760000], [[[1, 10], [2, 5], [3, 1], [6, 2], [12, 1]], 99732109/8321693751705600], [[[1, 10], [2, 5], [3, 1], [8, 1], [10, 1]], 2402191/80263249920000], [[[1, 10], [2, 5], [3, 1], [8, 1], [12, 1]], 201011/25684239974400], [[[1, 10], [2, 5], [3, 1], [10, 1], [12, 1]], 420977/120394874880000], [[[1, 10], [2, 5], [3, 2], [4, 1], [5, 1]], 18998761/48157949952000], [[[1, 10], [2, 5], [3, 2], [4, 1], [6, 2]], 46129405793/110955916689408000], [[[1, 10], [2, 5], [3, 2], [4, 1], [8, 1]], 5050847/22015062835200], [[[1, 10], [2, 5], [3, 2], [4, 1], [10, 1]], 439363/4815794995200], [[[1, 10], [2, 5], [3, 2], [4, 1], [12, 1]], 1417465633/18492652781568000], [[[1, 10], [2, 5], [3, 2], [4, 2], [6, 1]], 10995593971/22191183337881600], [[[1, 10], [2, 5], [3, 2], [5, 1], [6, 1]], 111321773/288947699712000], [[[1, 10], [2, 5], [3, 2], [6, 1], [8, 1]], 647443/3669177139200], [[[1, 10], [2, 5], [3, 2], [6, 1], [10, 1]], 6685561/80263249920000], [[[1, 10], [2, 5], [3, 2], [6, 1], [12, 1]], 268117447/6934744793088000], [[[1, 10], [2, 5], [3, 3], [4, 1], [6, 1]], 10895149/27738979172352], [[[1, 10], [2, 5], [4, 1], [5, 1], [6, 2]], 9129751/144473849856000], [[[1, 10], [2, 5], [4, 1], [5, 1], [8, 1]], 11861603/42807066624000], [[[1, 10], [2, 5], [4, 1], [5, 1], [10, 1]], 9838793/66886041600000], [[[1, 10], [2, 5], [4, 1], [5, 1], [12, 1]], 1397/89181388800], [[[1, 10], [2, 5], [4, 1], [6, 1], [7, 1]], 631951/7491236659200], [[[1, 10], [2, 5], [4, 1], [6, 1], [9, 1]], 28099/1070176665600], [[[1, 10], [2, 5], [4, 1], [6, 1], [14, 1]], 2363/267544166400], [[[1, 10], [2, 5], [4, 1], [6, 1], [18, 1]], 8950811/1155790798848000], [[[1, 10], [2, 5], [4, 1], [6, 2], [8, 1]], 5622241/231158159769600], [[[1, 10], [2, 5], [4, 1], [6, 2], [10, 1]], 1081123/144473849856000], [[[1, 10], [2, 5], [4, 1], [6, 2], [12, 1]], 323899459/55477958344704000], [[[1, 10], [2, 5], [4, 1], [8, 1], [10, 1]], 4093783/107017666560000], [[[1, 10], [2, 5], [4, 1], [8, 1], [12, 1]], 96301/12842119987200], [[[1, 10], [2, 5], [4, 1], [10, 1], [12, 1]], 59711/40131624960000], [[[1, 10], [2, 5], [4, 2], [5, 1], [6, 1]], 3753923/21403533312000], [[[1, 10], [2, 5], [4, 2], [6, 1], [8, 1]], 19192037/176120502681600], [[[1, 10], [2, 5], [4, 2], [6, 1], [10, 1]], 59119157/1541054398464000], [[[1, 10], [2, 5], [4, 2], [6, 1], [12, 1]], 1324828669/55477958344704000], [[[1, 10], [2, 5], [5, 1], [6, 1], [8, 1]], 9853/178362777600], [[[1, 10], [2, 5], [5, 1], [6, 1], [10, 1]], 55561/2229534720000], [[[1, 10], [2, 5], [5, 1], [6, 1], [12, 1]], 43741/5350883328000], [[[1, 10], [2, 5], [6, 1], [8, 1], [10, 1]], 60433/11466178560000], [[[1, 10], [2, 5], [6, 1], [8, 1], [12, 1]], 19993/7705271992320], [[[1, 10], [2, 5], [6, 1], [10, 1], [12, 1]], 90479/120394874880000], [[[1, 10], [2, 7], [3, 1], [4, 1], [5, 1]], 206411243/1284211998720000], [[[1, 10], [2, 7], [3, 1], [4, 1], [6, 2]], 80759337803/499301625102336000], [[[1, 10], [2, 7], [3, 1], [4, 1], [8, 1]], 2549722663/18492652781568000], [[[1, 10], [2, 7], [3, 1], [4, 1], [10, 1]], 70526041/963158999040000], [[[1, 10], [2, 7], [3, 1], [4, 1], [12, 1]], 17743771/1027369598976000], [[[1, 10], [2, 7], [3, 1], [4, 2], [6, 1]], 181510823161/499301625102336000], [[[1, 10], [2, 7], [3, 1], [5, 1], [6, 1]], 1423090217/13002646487040000], [[[1, 10], [2, 7], [3, 1], [6, 1], [8, 1]], 1423335377/20804234379264000], [[[1, 10], [2, 7], [3, 1], [6, 1], [10, 1]], 1586881/38526359961600], [[[1, 10], [2, 7], [3, 1], [6, 1], [12, 1]], 421783927/62412703137792000], [[[1, 10], [2, 7], [3, 2], [4, 1], [6, 1]], 400693277/1300264648704000], [[[1, 10], [2, 7], [4, 1], [5, 1], [6, 1]], 1661709691/17336861982720000], [[[1, 10], [2, 7], [4, 1], [6, 1], [8, 1]], 539868863/7925422620672000], [[[1, 10], [2, 7], [4, 1], [6, 1], [10, 1]], 38901361/1083553873920000], [[[1, 10], [2, 7], [4, 1], [6, 1], [12, 1]], 13556929/1486016741376000], [[[1, 10], [2, 9], [3, 1], [4, 1], [6, 1]], 4332503083891/69902227514327040000], [[[1, 11], [2, 2], [3, 1], [4, 1], [5, 2]], 78949/2140353331200], [[[1, 11], [2, 2], [3, 1], [4, 1], [6, 4]], 46679/41608468758528000], [[[1, 11], [2, 2], [3, 1], [4, 1], [8, 2]], 6103/3424565329920], [[[1, 11], [2, 2], [3, 1], [4, 1], [10, 2]], 191/17836277760000], [[[1, 11], [2, 2], [3, 1], [4, 1], [12, 2]], 529/11007531417600], [[[1, 11], [2, 2], [3, 1], [4, 1], [15, 1]], 191/891813888000], [[[1, 11], [2, 2], [3, 1], [4, 1], [20, 1]], 191/594542592000], [[[1, 11], [2, 2], [3, 1], [4, 1], [24, 1]], 191/713451110400], [[[1, 11], [2, 2], [3, 1], [4, 1], [30, 1]], 191/891813888000], [[[1, 11], [2, 2], [3, 1], [4, 2], [6, 3]], 447323/6241270313779200], [[[1, 11], [2, 2], [3, 1], [4, 2], [7, 1]], 207371/22473709977600], [[[1, 11], [2, 2], [3, 1], [4, 2], [9, 1]], 192461/77052719923200], [[[1, 11], [2, 2], [3, 1], [4, 2], [14, 1]], 1811/11236854988800], [[[1, 11], [2, 2], [3, 1], [4, 2], [18, 1]], 383/3095868211200], [[[1, 11], [2, 2], [3, 1], [4, 3], [5, 1]], 12839/2293235712000], [[[1, 11], [2, 2], [3, 1], [4, 3], [6, 2]], 92641/231158159769600], [[[1, 11], [2, 2], [3, 1], [4, 3], [8, 1]], 296663/102736959897600], [[[1, 11], [2, 2], [3, 1], [4, 3], [10, 1]], 3551/32105299968000], [[[1, 11], [2, 2], [3, 1], [4, 3], [12, 1]], 27581/38526359961600], [[[1, 11], [2, 2], [3, 1], [4, 4], [6, 1]], 116905/221911833378816], [[[1, 11], [2, 2], [3, 1], [5, 1], [6, 3]], 61631/650132324352000], [[[1, 11], [2, 2], [3, 1], [5, 1], [7, 1]], 28933/780337152000], [[[1, 11], [2, 2], [3, 1], [5, 1], [9, 1]], 65389/6019743744000], [[[1, 11], [2, 2], [3, 1], [5, 1], [14, 1]], 611/260112384000], [[[1, 11], [2, 2], [3, 1], [5, 1], [18, 1]], 16271/9029615616000], [[[1, 11], [2, 2], [3, 1], [5, 2], [6, 1]], 2249959/72236924928000], [[[1, 11], [2, 2], [3, 1], [6, 1], [8, 2]], 1529/16511297126400], [[[1, 11], [2, 2], [3, 1], [6, 1], [10, 2]], 103/72236924928000], [[[1, 11], [2, 2], [3, 1], [6, 1], [12, 2]], 113/6934744793088], [[[1, 11], [2, 2], [3, 1], [6, 1], [15, 1]], 103/3611846246400], [[[1, 11], [2, 2], [3, 1], [6, 1], [20, 1]], 103/2407897497600], [[[1, 11], [2, 2], [3, 1], [6, 1], [24, 1]], 551/14447384985600], [[[1, 11], [2, 2], [3, 1], [6, 1], [30, 1]], 103/3611846246400], [[[1, 11], [2, 2], [3, 1], [6, 2], [7, 1]], 11107/33710564966400], [[[1, 11], [2, 2], [3, 1], [6, 2], [9, 1]], 541/6191736422400], [[[1, 11], [2, 2], [3, 1], [6, 2], [14, 1]], 5/1348422598656], [[[1, 11], [2, 2], [3, 1], [6, 2], [18, 1]], 811/43342154956800], [[[1, 11], [2, 2], [3, 1], [6, 3], [8, 1]], 653/173368619827200], [[[1, 11], [2, 2], [3, 1], [6, 3], [10, 1]], 1/577895399424], [[[1, 11], [2, 2], [3, 1], [6, 3], [12, 1]], 239/44580502241280], [[[1, 11], [2, 2], [3, 1], [7, 1], [8, 1]], 6221/936404582400], [[[1, 11], [2, 2], [3, 1], [7, 1], [10, 1]], 1/1393459200], [[[1, 11], [2, 2], [3, 1], [7, 1], [12, 1]], 4387/5618427494400], [[[1, 11], [2, 2], [3, 1], [8, 1], [9, 1]], 2483/1375941427200], [[[1, 11], [2, 2], [3, 1], [8, 1], [14, 1]], 281/1872809164800], [[[1, 11], [2, 2], [3, 1], [8, 1], [18, 1]], 281/2407897497600], [[[1, 11], [2, 2], [3, 1], [9, 1], [10, 1]], 1121/6019743744000], [[[1, 11], [2, 2], [3, 1], [9, 1], [12, 1]], 103/481579499520], [[[1, 11], [2, 2], [3, 1], [12, 1], [14, 1]], 5/224737099776], [[[1, 11], [2, 2], [3, 1], [12, 1], [18, 1]], 373/21671077478400], [[[1, 11], [2, 2], [3, 2], [4, 1], [6, 3]], 582271/1386948958617600], [[[1, 11], [2, 2], [3, 2], [4, 1], [7, 1]], 41/1672151040], [[[1, 11], [2, 2], [3, 2], [4, 1], [9, 1]], 33053/4815794995200], [[[1, 11], [2, 2], [3, 2], [4, 1], [14, 1]], 1/1337720832], [[[1, 11], [2, 2], [3, 2], [4, 1], [18, 1]], 1/1719926784], [[[1, 11], [2, 2], [3, 2], [4, 2], [5, 1]], 1067/66060288000], [[[1, 11], [2, 2], [3, 2], [4, 2], [6, 2]], 283397/211344603217920], [[[1, 11], [2, 2], [3, 2], [4, 2], [8, 1]], 11303/1426902220800], [[[1, 11], [2, 2], [3, 2], [4, 2], [10, 1]], 79/114661785600], [[[1, 11], [2, 2], [3, 2], [4, 2], [12, 1]], 4467553/1585084524134400], [[[1, 11], [2, 2], [3, 2], [4, 3], [6, 1]], 93269/44030125670400], [[[1, 11], [2, 2], [3, 2], [5, 1], [6, 2]], 773777/64210599936000], [[[1, 11], [2, 2], [3, 2], [5, 1], [8, 1]], 9391/668860416000], [[[1, 11], [2, 2], [3, 2], [5, 1], [10, 1]], 7/2985984000], [[[1, 11], [2, 2], [3, 2], [5, 1], [12, 1]], 260531/32105299968000], [[[1, 11], [2, 2], [3, 2], [6, 1], [7, 1]], 598447/33710564966400], [[[1, 11], [2, 2], [3, 2], [6, 1], [9, 1]], 209131/43342154956800], [[[1, 11], [2, 2], [3, 2], [6, 1], [14, 1]], 4481/11236854988800], [[[1, 11], [2, 2], [3, 2], [6, 1], [18, 1]], 55291/130026464870400], [[[1, 11], [2, 2], [3, 2], [6, 2], [8, 1]], 15677/34245653299200], [[[1, 11], [2, 2], [3, 2], [6, 2], [10, 1]], 4481/21403533312000], [[[1, 11], [2, 2], [3, 2], [6, 2], [12, 1]], 3959/12383472844800], [[[1, 11], [2, 2], [3, 2], [8, 1], [12, 1]], 69397/51368479948800], [[[1, 11], [2, 2], [3, 2], [10, 1], [12, 1]], 4481/32105299968000], [[[1, 11], [2, 2], [3, 3], [4, 1], [5, 1]], 3048643/108355387392000], [[[1, 11], [2, 2], [3, 3], [4, 1], [6, 2]], 102857/30821087969280], [[[1, 11], [2, 2], [3, 3], [4, 1], [8, 1]], 672449/86684309913600], [[[1, 11], [2, 2], [3, 3], [4, 1], [10, 1]], 72271/108355387392000], [[[1, 11], [2, 2], [3, 3], [4, 1], [12, 1]], 2576521/416084687585280], [[[1, 11], [2, 2], [3, 3], [4, 2], [6, 1]], 28547107/6241270313779200], [[[1, 11], [2, 2], [3, 3], [5, 1], [6, 1]], 2308351/72236924928000], [[[1, 11], [2, 2], [3, 3], [6, 1], [8, 1]], 2232031/520105859481600], [[[1, 11], [2, 2], [3, 3], [6, 1], [10, 1]], 59161/130026464870400], [[[1, 11], [2, 2], [3, 3], [6, 1], [12, 1]], 185903/44580502241280], [[[1, 11], [2, 2], [3, 4], [4, 1], [6, 1]], 120571463/13869489586176000], [[[1, 11], [2, 2], [4, 1], [5, 1], [6, 3]], 1513/144473849856000], [[[1, 11], [2, 2], [4, 1], [5, 1], [7, 1]], 24253/780337152000], [[[1, 11], [2, 2], [4, 1], [5, 1], [9, 1]], 12883/1504935936000], [[[1, 11], [2, 2], [4, 1], [5, 1], [14, 1]], 1513/1560674304000], [[[1, 11], [2, 2], [4, 1], [5, 1], [18, 1]], 1513/2006581248000], [[[1, 11], [2, 2], [4, 1], [5, 2], [6, 1]], 3919231/481579499520000], [[[1, 11], [2, 2], [4, 1], [6, 1], [8, 2]], 71/4403012567040], [[[1, 11], [2, 2], [4, 1], [6, 1], [10, 2]], 271/481579499520000], [[[1, 11], [2, 2], [4, 1], [6, 1], [12, 2]], 271/231158159769600], [[[1, 11], [2, 2], [4, 1], [6, 1], [15, 1]], 127/24078974976000], [[[1, 11], [2, 2], [4, 1], [6, 1], [20, 1]], 127/16052649984000], [[[1, 11], [2, 2], [4, 1], [6, 1], [24, 1]], 127/19263179980800], [[[1, 11], [2, 2], [4, 1], [6, 1], [30, 1]], 127/24078974976000], [[[1, 11], [2, 2], [4, 1], [6, 2], [18, 1]], 127/43342154956800], [[[1, 11], [2, 2], [4, 1], [6, 3], [8, 1]], 197/693474479308800], [[[1, 11], [2, 2], [4, 1], [6, 3], [10, 1]], 1/144473849856000], [[[1, 11], [2, 2], [4, 1], [6, 3], [12, 1]], 389/693474479308800], [[[1, 11], [2, 2], [4, 1], [7, 1], [8, 1]], 10181/2497078886400], [[[1, 11], [2, 2], [4, 1], [7, 1], [10, 1]], 61/780337152000], [[[1, 11], [2, 2], [4, 1], [7, 1], [12, 1]], 61/468202291200], [[[1, 11], [2, 2], [4, 1], [8, 1], [9, 1]], 1289/1203948748800], [[[1, 11], [2, 2], [4, 1], [8, 1], [14, 1]], 11/416179814400], [[[1, 11], [2, 2], [4, 1], [8, 1], [18, 1]], 197/9631589990400], [[[1, 11], [2, 2], [4, 1], [9, 1], [10, 1]], 31/1504935936000], [[[1, 11], [2, 2], [4, 1], [9, 1], [12, 1]], 31/902961561600], [[[1, 11], [2, 2], [4, 1], [10, 1], [14, 1]], 1/1560674304000], [[[1, 11], [2, 2], [4, 1], [10, 1], [18, 1]], 1/2006581248000], [[[1, 11], [2, 2], [4, 1], [12, 1], [14, 1]], 1/936404582400], [[[1, 11], [2, 2], [4, 1], [12, 1], [18, 1]], 1/1203948748800], [[[1, 11], [2, 2], [4, 2], [5, 1], [6, 2]], 1/1415577600], [[[1, 11], [2, 2], [4, 2], [5, 1], [8, 1]], 74303/7134511104000], [[[1, 11], [2, 2], [4, 2], [5, 1], [10, 1]], 2153/2229534720000], [[[1, 11], [2, 2], [4, 2], [5, 1], [12, 1]], 4037/3439853568000], [[[1, 11], [2, 2], [4, 2], [6, 1], [7, 1]], 48511/22473709977600], [[[1, 11], [2, 2], [4, 2], [6, 1], [9, 1]], 48511/86684309913600], [[[1, 11], [2, 2], [4, 2], [6, 1], [18, 1]], 1091/46231631953920], [[[1, 11], [2, 2], [4, 2], [6, 2], [12, 1]], 16493/3698530556313600], [[[1, 11], [2, 2], [4, 2], [8, 1], [10, 1]], 131/7134511104000], [[[1, 11], [2, 2], [4, 2], [8, 1], [12, 1]], 29/770527199232], [[[1, 11], [2, 2], [4, 2], [10, 1], [12, 1]], 1/1146617856000], [[[1, 11], [2, 2], [4, 3], [5, 1], [6, 1]], 29/25480396800], [[[1, 11], [2, 2], [4, 3], [6, 1], [8, 1]], 21631/34245653299200], [[[1, 11], [2, 2], [4, 3], [6, 1], [10, 1]], 1891/64210599936000], [[[1, 11], [2, 2], [4, 3], [6, 1], [12, 1]], 3607/92463263907840], [[[1, 11], [2, 2], [5, 1], [6, 1], [7, 1]], 1/464486400], [[[1, 11], [2, 2], [5, 1], [6, 1], [9, 1]], 1/1791590400], [[[1, 11], [2, 2], [5, 1], [6, 1], [18, 1]], 41/722369249280], [[[1, 11], [2, 2], [5, 1], [6, 2], [12, 1]], 41/3852635996160], [[[1, 11], [2, 2], [6, 1], [7, 1], [8, 1]], 61/936404582400], [[[1, 11], [2, 2], [6, 1], [7, 1], [10, 1]], 41/780337152000], [[[1, 11], [2, 2], [6, 1], [7, 1], [12, 1]], 367/5618427494400], [[[1, 11], [2, 2], [6, 1], [8, 1], [9, 1]], 31/1805923123200], [[[1, 11], [2, 2], [6, 1], [8, 1], [14, 1]], 1/1872809164800], [[[1, 11], [2, 2], [6, 1], [8, 1], [18, 1]], 139/28894769971200], [[[1, 11], [2, 2], [6, 1], [9, 1], [10, 1]], 1/72236924928], [[[1, 11], [2, 2], [6, 1], [9, 1], [12, 1]], 373/21671077478400], [[[1, 11], [2, 2], [6, 1], [10, 1], [14, 1]], 1/2341011456000], [[[1, 11], [2, 2], [6, 1], [10, 1], [18, 1]], 1/2006581248000], [[[1, 11], [2, 2], [6, 1], [12, 1], [14, 1]], 1/1872809164800], [[[1, 11], [2, 2], [6, 1], [12, 1], [18, 1]], 1/2407897497600], [[[1, 11], [2, 2], [6, 2], [8, 1], [10, 1]], 1/4013162496000], [[[1, 11], [2, 2], [6, 2], [8, 1], [12, 1]], 1/880602513408], [[[1, 11], [2, 2], [6, 2], [10, 1], [12, 1]], 1/3567255552000], [[[1, 11], [2, 4], [3, 1], [4, 1], [6, 3]], 7271/2972033482752], [[[1, 11], [2, 4], [3, 1], [4, 1], [7, 1]], 64657/1404606873600], [[[1, 11], [2, 4], [3, 1], [4, 1], [9, 1]], 334741/23115815976960], [[[1, 11], [2, 4], [3, 1], [4, 1], [14, 1]], 989/200658124800], [[[1, 11], [2, 4], [3, 1], [4, 1], [18, 1]], 10733/2889476997120], [[[1, 11], [2, 4], [3, 1], [4, 2], [5, 1]], 124747277/1541054398464000], [[[1, 11], [2, 4], [3, 1], [4, 2], [6, 2]], 166394533/9510507144806400], [[[1, 11], [2, 4], [3, 1], [4, 2], [8, 1]], 4692431/123284351877120], [[[1, 11], [2, 4], [3, 1], [4, 2], [10, 1]], 6261211/963158999040000], [[[1, 11], [2, 4], [3, 1], [4, 2], [12, 1]], 17749781/1585084524134400], [[[1, 11], [2, 4], [3, 1], [4, 3], [6, 1]], 18918031/924632639078400], [[[1, 11], [2, 4], [3, 1], [5, 1], [6, 2]], 2691889/173368619827200], [[[1, 11], [2, 4], [3, 1], [5, 1], [8, 1]], 533951/16052649984000], [[[1, 11], [2, 4], [3, 1], [5, 1], [10, 1]], 4661/348364800000], [[[1, 11], [2, 4], [3, 1], [5, 1], [12, 1]], 19463/5350883328000], [[[1, 11], [2, 4], [3, 1], [6, 1], [7, 1]], 148879/8427641241600], [[[1, 11], [2, 4], [3, 1], [6, 1], [9, 1]], 451277/86684309913600], [[[1, 11], [2, 4], [3, 1], [6, 1], [14, 1]], 2053/1685528248320], [[[1, 11], [2, 4], [3, 1], [6, 1], [18, 1]], 182009/173368619827200], [[[1, 11], [2, 4], [3, 1], [6, 2], [8, 1]], 650191/231158159769600], [[[1, 11], [2, 4], [3, 1], [6, 2], [10, 1]], 164531/240789749760000], [[[1, 11], [2, 4], [3, 1], [6, 2], [12, 1]], 6926593/8321693751705600], [[[1, 11], [2, 4], [3, 1], [8, 1], [10, 1]], 7409/3210529996800], [[[1, 11], [2, 4], [3, 1], [8, 1], [12, 1]], 39491/38526359961600], [[[1, 11], [2, 4], [3, 1], [10, 1], [12, 1]], 32593/120394874880000], [[[1, 11], [2, 4], [3, 2], [4, 1], [5, 1]], 1592093/16052649984000], [[[1, 11], [2, 4], [3, 2], [4, 1], [6, 2]], 55468747/1232843518771200], [[[1, 11], [2, 4], [3, 2], [4, 1], [8, 1]], 392887/10273695989760], [[[1, 11], [2, 4], [3, 2], [4, 1], [10, 1]], 33377/3210529996800], [[[1, 11], [2, 4], [3, 2], [4, 1], [12, 1]], 8610241/616421759385600], [[[1, 11], [2, 4], [3, 2], [4, 2], [6, 1]], 24943673/396271131033600], [[[1, 11], [2, 4], [3, 2], [5, 1], [6, 1]], 3994349/48157949952000], [[[1, 11], [2, 4], [3, 2], [6, 1], [8, 1]], 13127/535088332800], [[[1, 11], [2, 4], [3, 2], [6, 1], [10, 1]], 1089061/144473849856000], [[[1, 11], [2, 4], [3, 2], [6, 1], [12, 1]], 1532987/277389791723520], [[[1, 11], [2, 4], [3, 3], [4, 1], [6, 1]], 1058231/14860167413760], [[[1, 11], [2, 4], [4, 1], [5, 1], [6, 2]], 58033/9631589990400], [[[1, 11], [2, 4], [4, 1], [5, 1], [8, 1]], 1798687/42807066624000], [[[1, 11], [2, 4], [4, 1], [5, 1], [10, 1]], 13777/1114767360000], [[[1, 11], [2, 4], [4, 1], [5, 1], [12, 1]], 1831/891813888000], [[[1, 11], [2, 4], [4, 1], [6, 1], [7, 1]], 2363/267544166400], [[[1, 11], [2, 4], [4, 1], [6, 1], [9, 1]], 7177/2889476997120], [[[1, 11], [2, 4], [4, 1], [6, 1], [14, 1]], 1067/2809213747200], [[[1, 11], [2, 4], [4, 1], [6, 1], [18, 1]], 27919/69347447930880], [[[1, 11], [2, 4], [4, 1], [6, 2], [8, 1]], 226937/231158159769600], [[[1, 11], [2, 4], [4, 1], [6, 2], [10, 1]], 989/5350883328000], [[[1, 11], [2, 4], [4, 1], [6, 2], [12, 1]], 467203/1849265278156800], [[[1, 11], [2, 4], [4, 1], [8, 1], [10, 1]], 175523/107017666560000], [[[1, 11], [2, 4], [4, 1], [8, 1], [12, 1]], 373/856141332480], [[[1, 11], [2, 4], [4, 1], [10, 1], [12, 1]], 73/1605264998400], [[[1, 11], [2, 4], [4, 2], [5, 1], [6, 1]], 4941917/192631799808000], [[[1, 11], [2, 4], [4, 2], [6, 1], [8, 1]], 5447039/616421759385600], [[[1, 11], [2, 4], [4, 2], [6, 1], [10, 1]], 235373/128421199872000], [[[1, 11], [2, 4], [4, 2], [6, 1], [12, 1]], 95489/66045188505600], [[[1, 11], [2, 4], [5, 1], [6, 1], [8, 1]], 3317/594542592000], [[[1, 11], [2, 4], [5, 1], [6, 1], [10, 1]], 2039/1254113280000], [[[1, 11], [2, 4], [5, 1], [6, 1], [12, 1]], 25231/24078974976000], [[[1, 11], [2, 4], [6, 1], [8, 1], [10, 1]], 457/2675441664000], [[[1, 11], [2, 4], [6, 1], [8, 1], [12, 1]], 1751/9631589990400], [[[1, 11], [2, 4], [6, 1], [10, 1], [12, 1]], 61/2675441664000], [[[1, 11], [2, 6], [3, 1], [4, 1], [5, 1]], 16448003/240789749760000], [[[1, 11], [2, 6], [3, 1], [4, 1], [6, 2]], 30624161/990677827584000], [[[1, 11], [2, 6], [3, 1], [4, 1], [8, 1]], 11357051/293534171136000], [[[1, 11], [2, 6], [3, 1], [4, 1], [10, 1]], 32106119/1926317998080000], [[[1, 11], [2, 6], [3, 1], [4, 1], [12, 1]], 2869337/577895399424000], [[[1, 11], [2, 6], [3, 1], [4, 2], [6, 1]], 40483858903/499301625102336000], [[[1, 11], [2, 6], [3, 1], [5, 1], [6, 1]], 938702669/26005292974080000], [[[1, 11], [2, 6], [3, 1], [6, 1], [8, 1]], 35750639/2311581597696000], [[[1, 11], [2, 6], [3, 1], [6, 1], [10, 1]], 221017/32105299968000], [[[1, 11], [2, 6], [3, 1], [6, 1], [12, 1]], 4096093/2496508125511680], [[[1, 11], [2, 6], [3, 2], [4, 1], [6, 1]], 1703196683/18492652781568000], [[[1, 11], [2, 6], [4, 1], [5, 1], [6, 1]], 12955603/481579499520000], [[[1, 11], [2, 6], [4, 1], [6, 1], [8, 1]], 651347371/55477958344704000], [[[1, 11], [2, 6], [4, 1], [6, 1], [10, 1]], 16720819/3852635996160000], [[[1, 11], [2, 6], [4, 1], [6, 1], [12, 1]], 5021467/3082108796928000], [[[1, 11], [2, 8], [3, 1], [4, 1], [6, 1]], 33546952609/1165037125238784000], [[[1, 11], [3, 1], [4, 1], [7, 1], [8, 1]], 1/2229534720], [[[1, 11], [3, 1], [4, 1], [8, 1], [9, 1]], 1121/9631589990400], [[[1, 11], [3, 1], [4, 2], [5, 1], [6, 2]], 1/38220595200], [[[1, 11], [3, 1], [4, 2], [5, 1], [12, 1]], 529/3009871872000], [[[1, 11], [3, 1], [4, 2], [6, 1], [18, 1]], 71/43342154956800], [[[1, 11], [3, 1], [4, 2], [6, 2], [12, 1]], 221/693474479308800], [[[1, 11], [3, 1], [5, 1], [6, 1], [18, 1]], 113/4514807808000], [[[1, 11], [3, 1], [5, 1], [6, 2], [12, 1]], 113/24078974976000], [[[1, 11], [3, 1], [6, 1], [12, 1], [18, 1]], 1/10835538739200], [[[1, 11], [3, 2], [4, 1], [5, 1], [8, 1]], 7/4777574400], [[[1, 11], [3, 2], [4, 1], [6, 2], [8, 1]], 4481/308210879692800], [[[1, 11], [3, 2], [4, 1], [8, 1], [12, 1]], 4481/51368479948800], [[[1, 11], [4, 1], [6, 1], [8, 1], [18, 1]], 1/9631589990400], [[[1, 11], [4, 1], [6, 2], [8, 1], [12, 1]], 1/51368479948800], [[[1, 12], [2, 1], [3, 1], [4, 1], [5, 2]], 31883/22932357120000], [[[1, 12], [2, 1], [3, 1], [4, 1], [6, 4]], 29/41608468758528000], [[[1, 12], [2, 1], [3, 1], [4, 1], [8, 2]], 49/1467670855680], [[[1, 12], [2, 1], [3, 1], [4, 1], [10, 2]], 29/160526499840000], [[[1, 12], [2, 1], [3, 1], [4, 1], [12, 2]], 1/1712282664960], [[[1, 12], [2, 1], [3, 1], [4, 1], [15, 1]], 29/8026324992000], [[[1, 12], [2, 1], [3, 1], [4, 1], [20, 1]], 29/5350883328000], [[[1, 12], [2, 1], [3, 1], [4, 1], [24, 1]], 29/6421059993600], [[[1, 12], [2, 1], [3, 1], [4, 1], [30, 1]], 29/8026324992000], [[[1, 12], [2, 1], [3, 1], [4, 2], [6, 3]], 71/2080423437926400], [[[1, 12], [2, 1], [3, 1], [4, 2], [7, 1]], 1811/11236854988800], [[[1, 12], [2, 1], [3, 1], [4, 2], [9, 1]], 20119/462316319539200], [[[1, 12], [2, 1], [3, 1], [4, 2], [14, 1]], 71/22473709977600], [[[1, 12], [2, 1], [3, 1], [4, 2], [18, 1]], 71/28894769971200], [[[1, 12], [2, 1], [3, 1], [4, 3], [5, 1]], 4243/21403533312000], [[[1, 12], [2, 1], [3, 1], [4, 3], [6, 2]], 1891/924632639078400], [[[1, 12], [2, 1], [3, 1], [4, 3], [8, 1]], 4261/102736959897600], [[[1, 12], [2, 1], [3, 1], [4, 3], [10, 1]], 71/32105299968000], [[[1, 12], [2, 1], [3, 1], [4, 3], [12, 1]], 299/17122826649600], [[[1, 12], [2, 1], [3, 1], [4, 4], [6, 1]], 47251/9246326390784000], [[[1, 12], [2, 1], [3, 1], [5, 1], [6, 3]], 113/216710774784000], [[[1, 12], [2, 1], [3, 1], [5, 1], [7, 1]], 611/260112384000], [[[1, 12], [2, 1], [3, 1], [5, 1], [9, 1]], 19127/30098718720000], [[[1, 12], [2, 1], [3, 1], [5, 1], [14, 1]], 113/2341011456000], [[[1, 12], [2, 1], [3, 1], [5, 1], [18, 1]], 113/3009871872000], [[[1, 12], [2, 1], [3, 1], [5, 2], [6, 1]], 145153/120394874880000], [[[1, 12], [2, 1], [3, 1], [6, 1], [8, 2]], 1/38526359961600], [[[1, 12], [2, 1], [3, 1], [6, 1], [10, 2]], 1/120394874880000], [[[1, 12], [2, 1], [3, 1], [6, 1], [12, 2]], 1/8255648563200], [[[1, 12], [2, 1], [3, 1], [6, 1], [15, 1]], 1/6019743744000], [[[1, 12], [2, 1], [3, 1], [6, 1], [20, 1]], 1/4013162496000], [[[1, 12], [2, 1], [3, 1], [6, 1], [24, 1]], 1/4815794995200], [[[1, 12], [2, 1], [3, 1], [6, 1], [30, 1]], 1/6019743744000], [[[1, 12], [2, 1], [3, 1], [6, 2], [7, 1]], 5/1348422598656], [[[1, 12], [2, 1], [3, 1], [6, 2], [9, 1]], 127/130026464870400], [[[1, 12], [2, 1], [3, 1], [6, 2], [14, 1]], 1/33710564966400], [[[1, 12], [2, 1], [3, 1], [6, 2], [18, 1]], 1/8668430991360], [[[1, 12], [2, 1], [3, 1], [6, 3], [8, 1]], 1/57789539942400], [[[1, 12], [2, 1], [3, 1], [6, 3], [10, 1]], 1/72236924928000], [[[1, 12], [2, 1], [3, 1], [6, 3], [12, 1]], 19/520105859481600], [[[1, 12], [2, 1], [3, 1], [7, 1], [8, 1]], 281/1872809164800], [[[1, 12], [2, 1], [3, 1], [7, 1], [12, 1]], 5/224737099776], [[[1, 12], [2, 1], [3, 1], [8, 1], [9, 1]], 5/128421199872], [[[1, 12], [2, 1], [3, 1], [9, 1], [12, 1]], 127/21671077478400], [[[1, 12], [2, 1], [3, 1], [12, 1], [14, 1]], 1/5618427494400], [[[1, 12], [2, 1], [3, 1], [12, 1], [18, 1]], 1/7223692492800], [[[1, 12], [2, 1], [3, 2], [4, 1], [6, 3]], 1499/462316319539200], [[[1, 12], [2, 1], [3, 2], [4, 1], [7, 1]], 1/1337720832], [[[1, 12], [2, 1], [3, 2], [4, 1], [9, 1]], 943/4815794995200], [[[1, 12], [2, 1], [3, 2], [4, 2], [5, 1]], 3511/8026324992000], [[[1, 12], [2, 1], [3, 2], [4, 2], [6, 2]], 8927/1643791358361600], [[[1, 12], [2, 1], [3, 2], [4, 2], [8, 1]], 2567/12842119987200], [[[1, 12], [2, 1], [3, 2], [4, 2], [12, 1]], 1018369/28531521434419200], [[[1, 12], [2, 1], [3, 2], [4, 3], [6, 1]], 467/19263179980800], [[[1, 12], [2, 1], [3, 2], [5, 1], [6, 2]], 3637/45864714240000], [[[1, 12], [2, 1], [3, 2], [5, 1], [8, 1]], 691/1337720832000], [[[1, 12], [2, 1], [3, 2], [5, 1], [12, 1]], 3637/7644119040000], [[[1, 12], [2, 1], [3, 2], [6, 1], [7, 1]], 4481/11236854988800], [[[1, 12], [2, 1], [3, 2], [6, 1], [9, 1]], 299/2889476997120], [[[1, 12], [2, 1], [3, 2], [6, 1], [18, 1]], 97/23404763676672], [[[1, 12], [2, 1], [3, 2], [6, 2], [8, 1]], 1499/308210879692800], [[[1, 12], [2, 1], [3, 2], [6, 2], [12, 1]], 673/445805022412800], [[[1, 12], [2, 1], [3, 2], [8, 1], [12, 1]], 1499/51368479948800], [[[1, 12], [2, 1], [3, 3], [4, 1], [5, 1]], 522313/433421549568000], [[[1, 12], [2, 1], [3, 3], [4, 1], [6, 2]], 3743/154105439846400], [[[1, 12], [2, 1], [3, 3], [4, 1], [8, 1]], 178147/693474479308800], [[[1, 12], [2, 1], [3, 3], [4, 1], [10, 1]], 6721/433421549568000], [[[1, 12], [2, 1], [3, 3], [4, 1], [12, 1]], 50993/297203348275200], [[[1, 12], [2, 1], [3, 3], [4, 2], [6, 1]], 7117/77052719923200], [[[1, 12], [2, 1], [3, 3], [5, 1], [6, 1]], 3497/2675441664000], [[[1, 12], [2, 1], [3, 3], [6, 1], [8, 1]], 6721/520105859481600], [[[1, 12], [2, 1], [3, 3], [6, 1], [10, 1]], 6721/650132324352000], [[[1, 12], [2, 1], [3, 3], [6, 1], [12, 1]], 47059/520105859481600], [[[1, 12], [2, 1], [3, 4], [4, 1], [6, 1]], 437341/5944066965504000], [[[1, 12], [2, 1], [4, 1], [5, 1], [7, 1]], 1513/1560674304000], [[[1, 12], [2, 1], [4, 1], [5, 1], [9, 1]], 1513/6019743744000], [[[1, 12], [2, 1], [4, 1], [5, 2], [6, 1]], 145153/481579499520000], [[[1, 12], [2, 1], [4, 1], [6, 1], [8, 2]], 19/154105439846400], [[[1, 12], [2, 1], [4, 1], [6, 1], [10, 2]], 1/481579499520000], [[[1, 12], [2, 1], [4, 1], [6, 1], [12, 2]], 1/231158159769600], [[[1, 12], [2, 1], [4, 1], [6, 1], [15, 1]], 1/24078974976000], [[[1, 12], [2, 1], [4, 1], [6, 1], [20, 1]], 1/16052649984000], [[[1, 12], [2, 1], [4, 1], [6, 1], [24, 1]], 1/19263179980800], [[[1, 12], [2, 1], [4, 1], [6, 1], [30, 1]], 1/24078974976000], [[[1, 12], [2, 1], [4, 1], [6, 2], [18, 1]], 1/43342154956800], [[[1, 12], [2, 1], [4, 1], [6, 3], [8, 1]], 1/462316319539200], [[[1, 12], [2, 1], [4, 1], [6, 3], [12, 1]], 1/231158159769600], [[[1, 12], [2, 1], [4, 1], [7, 1], [8, 1]], 11/416179814400], [[[1, 12], [2, 1], [4, 1], [7, 1], [10, 1]], 1/1560674304000], [[[1, 12], [2, 1], [4, 1], [7, 1], [12, 1]], 1/936404582400], [[[1, 12], [2, 1], [4, 1], [8, 1], [9, 1]], 67/9631589990400], [[[1, 12], [2, 1], [4, 1], [8, 1], [14, 1]], 1/4994157772800], [[[1, 12], [2, 1], [4, 1], [8, 1], [18, 1]], 1/6421059993600], [[[1, 12], [2, 1], [4, 1], [9, 1], [10, 1]], 1/6019743744000], [[[1, 12], [2, 1], [4, 1], [9, 1], [12, 1]], 1/3611846246400], [[[1, 12], [2, 1], [4, 2], [5, 1], [8, 1]], 1933/7134511104000], [[[1, 12], [2, 1], [4, 2], [5, 1], [12, 1]], 131/120394874880000], [[[1, 12], [2, 1], [4, 2], [6, 1], [18, 1]], 19/198135565516800], [[[1, 12], [2, 1], [4, 2], [6, 2], [12, 1]], 19/1056723016089600], [[[1, 12], [2, 1], [4, 2], [8, 1], [10, 1]], 1/7134511104000], [[[1, 12], [2, 1], [4, 2], [8, 1], [12, 1]], 1/3852635996160], [[[1, 12], [2, 1], [4, 3], [5, 1], [6, 1]], 1/25480396800], [[[1, 12], [2, 1], [4, 3], [6, 1], [12, 1]], 1/57789539942400], [[[1, 12], [2, 1], [5, 1], [6, 1], [18, 1]], 131/90296156160000], [[[1, 12], [2, 1], [5, 1], [6, 2], [12, 1]], 131/481579499520000], [[[1, 12], [2, 1], [6, 1], [7, 1], [8, 1]], 1/1872809164800], [[[1, 12], [2, 1], [6, 1], [7, 1], [10, 1]], 1/2341011456000], [[[1, 12], [2, 1], [6, 1], [7, 1], [12, 1]], 1/1872809164800], [[[1, 12], [2, 1], [6, 1], [8, 1], [9, 1]], 1/7223692492800], [[[1, 12], [2, 1], [6, 1], [8, 1], [18, 1]], 1/28894769971200], [[[1, 12], [2, 1], [6, 1], [9, 1], [10, 1]], 1/9029615616000], [[[1, 12], [2, 1], [6, 1], [9, 1], [12, 1]], 1/7223692492800], [[[1, 12], [2, 1], [6, 2], [8, 1], [12, 1]], 1/154105439846400], [[[1, 12], [2, 3], [3, 1], [4, 1], [6, 3]], 12947/520105859481600], [[[1, 12], [2, 3], [3, 1], [4, 1], [7, 1]], 989/200658124800], [[[1, 12], [2, 3], [3, 1], [4, 1], [9, 1]], 667/475634073600], [[[1, 12], [2, 3], [3, 1], [4, 1], [14, 1]], 437/1872809164800], [[[1, 12], [2, 3], [3, 1], [4, 1], [18, 1]], 2593/14447384985600], [[[1, 12], [2, 3], [3, 1], [4, 2], [5, 1]], 924949/128421199872000], [[[1, 12], [2, 3], [3, 1], [4, 2], [6, 2]], 68323/110955916689408], [[[1, 12], [2, 3], [3, 1], [4, 2], [8, 1]], 201481/88060251340800], [[[1, 12], [2, 3], [3, 1], [4, 2], [10, 1]], 41737/192631799808000], [[[1, 12], [2, 3], [3, 1], [4, 2], [12, 1]], 292211/462316319539200], [[[1, 12], [2, 3], [3, 1], [4, 3], [6, 1]], 914863/924632639078400], [[[1, 12], [2, 3], [3, 1], [5, 1], [6, 2]], 4121/5778953994240], [[[1, 12], [2, 3], [3, 1], [5, 1], [8, 1]], 4139/1146617856000], [[[1, 12], [2, 3], [3, 1], [5, 1], [10, 1]], 1/1224720000], [[[1, 12], [2, 3], [3, 1], [5, 1], [12, 1]], 3259/8026324992000], [[[1, 12], [2, 3], [3, 1], [6, 1], [7, 1]], 2053/1685528248320], [[[1, 12], [2, 3], [3, 1], [6, 1], [9, 1]], 24659/74300837068800], [[[1, 12], [2, 3], [3, 1], [6, 1], [14, 1]], 37/1203948748800], [[[1, 12], [2, 3], [3, 1], [6, 1], [18, 1]], 2861/86684309913600], [[[1, 12], [2, 3], [3, 1], [6, 2], [8, 1]], 119/2751882854400], [[[1, 12], [2, 3], [3, 1], [6, 2], [10, 1]], 251/16052649984000], [[[1, 12], [2, 3], [3, 1], [6, 2], [12, 1]], 30151/1386948958617600], [[[1, 12], [2, 3], [3, 1], [8, 1], [10, 1]], 281/5350883328000], [[[1, 12], [2, 3], [3, 1], [8, 1], [12, 1]], 313/4815794995200], [[[1, 12], [2, 3], [3, 1], [10, 1], [12, 1]], 187/24078974976000], [[[1, 12], [2, 3], [3, 2], [4, 1], [5, 1]], 635801/48157949952000], [[[1, 12], [2, 3], [3, 2], [4, 1], [6, 2]], 1483093/739706111262720], [[[1, 12], [2, 3], [3, 2], [4, 1], [8, 1]], 2271611/693474479308800], [[[1, 12], [2, 3], [3, 2], [4, 1], [10, 1]], 20081/48157949952000], [[[1, 12], [2, 3], [3, 2], [4, 1], [12, 1]], 2418011/1849265278156800], [[[1, 12], [2, 3], [3, 2], [4, 2], [6, 1]], 683316299/199720650040934400], [[[1, 12], [2, 3], [3, 2], [5, 1], [6, 1]], 2273051/240789749760000], [[[1, 12], [2, 3], [3, 2], [6, 1], [8, 1]], 14675/9246326390784], [[[1, 12], [2, 3], [3, 2], [6, 1], [10, 1]], 91711/371504185344000], [[[1, 12], [2, 3], [3, 2], [6, 1], [12, 1]], 9481069/24965081255116800], [[[1, 12], [2, 3], [3, 3], [4, 1], [6, 1]], 3286247/520105859481600], [[[1, 12], [2, 3], [4, 1], [5, 1], [6, 2]], 3193/16052649984000], [[[1, 12], [2, 3], [4, 1], [5, 1], [8, 1]], 347243/107017666560000], [[[1, 12], [2, 3], [4, 1], [5, 1], [10, 1]], 467/1114767360000], [[[1, 12], [2, 3], [4, 1], [5, 1], [12, 1]], 41/321052999680], [[[1, 12], [2, 3], [4, 1], [6, 1], [7, 1]], 1067/2809213747200], [[[1, 12], [2, 3], [4, 1], [6, 1], [9, 1]], 293/2889476997120], [[[1, 12], [2, 3], [4, 1], [6, 1], [14, 1]], 1/175575859200], [[[1, 12], [2, 3], [4, 1], [6, 1], [18, 1]], 3443/346737239654400], [[[1, 12], [2, 3], [4, 1], [6, 2], [8, 1]], 43/7338354278400], [[[1, 12], [2, 3], [4, 1], [6, 2], [10, 1]], 131/48157949952000], [[[1, 12], [2, 3], [4, 1], [6, 2], [12, 1]], 8219/1849265278156800], [[[1, 12], [2, 3], [4, 1], [8, 1], [10, 1]], 649/42807066624000], [[[1, 12], [2, 3], [4, 1], [8, 1], [12, 1]], 1/95126814720], [[[1, 12], [2, 3], [4, 1], [10, 1], [12, 1]], 1/2675441664000], [[[1, 12], [2, 3], [4, 2], [5, 1], [6, 1]], 256073/137594142720000], [[[1, 12], [2, 3], [4, 2], [6, 1], [8, 1]], 171467/616421759385600], [[[1, 12], [2, 3], [4, 2], [6, 1], [10, 1]], 38959/1541054398464000], [[[1, 12], [2, 3], [4, 2], [6, 1], [12, 1]], 370249/11095591668940800], [[[1, 12], [2, 3], [5, 1], [6, 1], [8, 1]], 709/3210529996800], [[[1, 12], [2, 3], [5, 1], [6, 1], [10, 1]], 73/1393459200000], [[[1, 12], [2, 3], [5, 1], [6, 1], [12, 1]], 7753/120394874880000], [[[1, 12], [2, 3], [6, 1], [8, 1], [10, 1]], 67/16052649984000], [[[1, 12], [2, 3], [6, 1], [8, 1], [12, 1]], 191/38526359961600], [[[1, 12], [2, 3], [6, 1], [10, 1], [12, 1]], 1/5350883328000], [[[1, 12], [2, 5], [3, 1], [4, 1], [5, 1]], 63462209/3852635996160000], [[[1, 12], [2, 5], [3, 1], [4, 1], [6, 2]], 163999483/55477958344704000], [[[1, 12], [2, 5], [3, 1], [4, 1], [8, 1]], 7531687/1232843518771200], [[[1, 12], [2, 5], [3, 1], [4, 1], [10, 1]], 3579379/1926317998080000], [[[1, 12], [2, 5], [3, 1], [4, 1], [12, 1]], 7313363/9246326390784000], [[[1, 12], [2, 5], [3, 1], [4, 2], [6, 1]], 584368963/55477958344704000], [[[1, 12], [2, 5], [3, 1], [5, 1], [6, 1]], 2414059/361184624640000], [[[1, 12], [2, 5], [3, 1], [6, 1], [8, 1]], 287867/154105439846400], [[[1, 12], [2, 5], [3, 1], [6, 1], [10, 1]], 172573/321052999680000], [[[1, 12], [2, 5], [3, 1], [6, 1], [12, 1]], 1473019/6934744793088000], [[[1, 12], [2, 5], [3, 2], [4, 1], [6, 1]], 7212167/462316319539200], [[[1, 12], [2, 5], [4, 1], [5, 1], [6, 1]], 124871/32105299968000], [[[1, 12], [2, 5], [4, 1], [6, 1], [8, 1]], 6290959/6164217593856000], [[[1, 12], [2, 5], [4, 1], [6, 1], [10, 1]], 60259/240789749760000], [[[1, 12], [2, 5], [4, 1], [6, 1], [12, 1]], 34471/231158159769600], [[[1, 12], [2, 7], [3, 1], [4, 1], [6, 1]], 49213519/6657355001364480], [[[1, 13], [2, 2], [3, 1], [4, 1], [6, 3]], 53/231158159769600], [[[1, 13], [2, 2], [3, 1], [4, 1], [7, 1]], 437/1872809164800], [[[1, 13], [2, 2], [3, 1], [4, 1], [9, 1]], 24127/385263599616000], [[[1, 13], [2, 2], [3, 1], [4, 1], [14, 1]], 29/7491236659200], [[[1, 13], [2, 2], [3, 1], [4, 1], [18, 1]], 29/9631589990400], [[[1, 13], [2, 2], [3, 1], [4, 2], [5, 1]], 140557/513684799488000], [[[1, 13], [2, 2], [3, 1], [4, 2], [6, 2]], 31363/7397061112627200], [[[1, 13], [2, 2], [3, 1], [4, 2], [8, 1]], 5891/82189567918080], [[[1, 13], [2, 2], [3, 1], [4, 2], [10, 1]], 7/1834588569600], [[[1, 13], [2, 2], [3, 1], [4, 2], [12, 1]], 326851/23776267862016000], [[[1, 13], [2, 2], [3, 1], [4, 3], [6, 1]], 12911/616421759385600], [[[1, 13], [2, 2], [3, 1], [5, 1], [6, 2]], 6149/722369249280000], [[[1, 13], [2, 2], [3, 1], [5, 1], [8, 1]], 1699/8918138880000], [[[1, 13], [2, 2], [3, 1], [5, 1], [10, 1]], 113/6688604160000], [[[1, 13], [2, 2], [3, 1], [5, 1], [12, 1]], 2759/120394874880000], [[[1, 13], [2, 2], [3, 1], [6, 1], [7, 1]], 37/1203948748800], [[[1, 13], [2, 2], [3, 1], [6, 1], [9, 1]], 599/74300837068800], [[[1, 13], [2, 2], [3, 1], [6, 1], [14, 1]], 1/5618427494400], [[[1, 13], [2, 2], [3, 1], [6, 1], [18, 1]], 1961/3900793946112000], [[[1, 13], [2, 2], [3, 1], [6, 2], [8, 1]], 89/231158159769600], [[[1, 13], [2, 2], [3, 1], [6, 2], [10, 1]], 1/10701766656000], [[[1, 13], [2, 2], [3, 1], [6, 2], [12, 1]], 563/2972033482752000], [[[1, 13], [2, 2], [3, 1], [8, 1], [12, 1]], 13/7705271992320], [[[1, 13], [2, 2], [3, 1], [10, 1], [12, 1]], 1/16052649984000], [[[1, 13], [2, 2], [3, 2], [4, 1], [5, 1]], 365629/433421549568000], [[[1, 13], [2, 2], [3, 2], [4, 1], [6, 2]], 112069/4109478395904000], [[[1, 13], [2, 2], [3, 2], [4, 1], [8, 1]], 85171/693474479308800], [[[1, 13], [2, 2], [3, 2], [4, 1], [10, 1]], 97/17336861982720], [[[1, 13], [2, 2], [3, 2], [4, 1], [12, 1]], 9357727/166433875034112000], [[[1, 13], [2, 2], [3, 2], [4, 2], [6, 1]], 910799/12482540627558400], [[[1, 13], [2, 2], [3, 2], [5, 1], [6, 1]], 123359/240789749760000], [[[1, 13], [2, 2], [3, 2], [6, 1], [8, 1]], 20117/594406696550400], [[[1, 13], [2, 2], [3, 2], [6, 1], [10, 1]], 307/81266540544000], [[[1, 13], [2, 2], [3, 2], [6, 1], [12, 1]], 267817/24965081255116800], [[[1, 13], [2, 2], [3, 3], [4, 1], [6, 1]], 419453/2080423437926400], [[[1, 13], [2, 2], [4, 1], [5, 1], [8, 1]], 10783/107017666560000], [[[1, 13], [2, 2], [4, 1], [5, 1], [10, 1]], 131/66886041600000], [[[1, 13], [2, 2], [4, 1], [5, 1], [12, 1]], 131/40131624960000], [[[1, 13], [2, 2], [4, 1], [6, 1], [7, 1]], 1/175575859200], [[[1, 13], [2, 2], [4, 1], [6, 1], [9, 1]], 13/8668430991360], [[[1, 13], [2, 2], [4, 1], [6, 1], [14, 1]], 1/22473709977600], [[[1, 13], [2, 2], [4, 1], [6, 1], [18, 1]], 181/1155790798848000], [[[1, 13], [2, 2], [4, 1], [6, 2], [8, 1]], 1/22015062835200], [[[1, 13], [2, 2], [4, 1], [6, 2], [10, 1]], 1/48157949952000], [[[1, 13], [2, 2], [4, 1], [6, 2], [12, 1]], 43/880602513408000], [[[1, 13], [2, 2], [4, 1], [8, 1], [10, 1]], 1/8561413324800], [[[1, 13], [2, 2], [4, 1], [8, 1], [12, 1]], 1/12842119987200], [[[1, 13], [2, 2], [4, 2], [5, 1], [6, 1]], 48541/963158999040000], [[[1, 13], [2, 2], [4, 2], [6, 1], [8, 1]], 1777/1232843518771200], [[[1, 13], [2, 2], [4, 2], [6, 1], [10, 1]], 13/110075314176000], [[[1, 13], [2, 2], [4, 2], [6, 1], [12, 1]], 1/6191736422400], [[[1, 13], [2, 2], [5, 1], [6, 1], [8, 1]], 131/80263249920000], [[[1, 13], [2, 2], [5, 1], [6, 1], [10, 1]], 11/8360755200000], [[[1, 13], [2, 2], [5, 1], [6, 1], [12, 1]], 197/120394874880000], [[[1, 13], [2, 2], [6, 1], [8, 1], [10, 1]], 1/32105299968000], [[[1, 13], [2, 2], [6, 1], [8, 1], [12, 1]], 1/25684239974400], [[[1, 13], [2, 4], [3, 1], [4, 1], [5, 1]], 181213/80263249920000], [[[1, 13], [2, 4], [3, 1], [4, 1], [6, 2]], 180353/1386948958617600], [[[1, 13], [2, 4], [3, 1], [4, 1], [8, 1]], 9956647/18492652781568000], [[[1, 13], [2, 4], [3, 1], [4, 1], [10, 1]], 167/1783627776000], [[[1, 13], [2, 4], [3, 1], [4, 1], [12, 1]], 15763/231158159769600], [[[1, 13], [2, 4], [3, 1], [4, 2], [6, 1]], 118376339/166433875034112000], [[[1, 13], [2, 4], [3, 1], [5, 1], [6, 1]], 1969927/2889476997120000], [[[1, 13], [2, 4], [3, 1], [6, 1], [8, 1]], 51131/462316319539200], [[[1, 13], [2, 4], [3, 1], [6, 1], [10, 1]], 10477/541776936960000], [[[1, 13], [2, 4], [3, 1], [6, 1], [12, 1]], 304387/20804234379264000], [[[1, 13], [2, 4], [3, 2], [4, 1], [6, 1]], 34035797/23776267862016000], [[[1, 13], [2, 4], [4, 1], [5, 1], [6, 1]], 552821/1926317998080000], [[[1, 13], [2, 4], [4, 1], [6, 1], [8, 1]], 7291/176120502681600], [[[1, 13], [2, 4], [4, 1], [6, 1], [10, 1]], 9521/1284211998720000], [[[1, 13], [2, 4], [4, 1], [6, 1], [12, 1]], 63193/9246326390784000], [[[1, 13], [2, 6], [3, 1], [4, 1], [6, 1]], 124538101/110955916689408000], [[[1, 13], [3, 1], [4, 1], [5, 1], [8, 1]], 113/10701766656000], [[[1, 13], [3, 1], [4, 1], [6, 2], [8, 1]], 1/154105439846400], [[[1, 13], [3, 1], [4, 1], [8, 1], [12, 1]], 1/25684239974400], [[[1, 14], [2, 1], [3, 1], [4, 1], [6, 3]], 1/693474479308800], [[[1, 14], [2, 1], [3, 1], [4, 1], [7, 1]], 29/7491236659200], [[[1, 14], [2, 1], [3, 1], [4, 1], [9, 1]], 43/42807066624000], [[[1, 14], [2, 1], [3, 1], [4, 2], [5, 1]], 1931/428070666240000], [[[1, 14], [2, 1], [3, 1], [4, 2], [6, 2]], 17/2773897917235200], [[[1, 14], [2, 1], [3, 1], [4, 2], [8, 1]], 443/410947839590400], [[[1, 14], [2, 1], [3, 1], [4, 2], [12, 1]], 2609/62412703137792000], [[[1, 14], [2, 1], [3, 1], [4, 3], [6, 1]], 19/123284351877120], [[[1, 14], [2, 1], [3, 1], [5, 1], [6, 2]], 67/722369249280000], [[[1, 14], [2, 1], [3, 1], [5, 1], [8, 1]], 1/283115520000], [[[1, 14], [2, 1], [3, 1], [5, 1], [12, 1]], 67/120394874880000], [[[1, 14], [2, 1], [3, 1], [6, 1], [7, 1]], 1/5618427494400], [[[1, 14], [2, 1], [3, 1], [6, 1], [9, 1]], 1/21671077478400], [[[1, 14], [2, 1], [3, 1], [6, 1], [18, 1]], 157/23404763676672000], [[[1, 14], [2, 1], [3, 1], [6, 2], [8, 1]], 1/462316319539200], [[[1, 14], [2, 1], [3, 1], [6, 2], [12, 1]], 157/124825406275584000], [[[1, 14], [2, 1], [3, 1], [8, 1], [12, 1]], 1/77052719923200], [[[1, 14], [2, 1], [3, 2], [4, 1], [5, 1]], 4187/216710774784000], [[[1, 14], [2, 1], [3, 2], [4, 1], [6, 2]], 221/1761205026816000], [[[1, 14], [2, 1], [3, 2], [4, 1], [8, 1]], 547/277389791723520], [[[1, 14], [2, 1], [3, 2], [4, 1], [10, 1]], 31/433421549568000], [[[1, 14], [2, 1], [3, 2], [4, 1], [12, 1]], 145147/166433875034112000], [[[1, 14], [2, 1], [3, 2], [4, 2], [6, 1]], 101/164379135836160], [[[1, 14], [2, 1], [3, 2], [5, 1], [6, 1]], 1507/160526499840000], [[[1, 14], [2, 1], [3, 2], [6, 1], [8, 1]], 31/520105859481600], [[[1, 14], [2, 1], [3, 2], [6, 1], [10, 1]], 31/650132324352000], [[[1, 14], [2, 1], [3, 2], [6, 1], [12, 1]], 7/74300837068800], [[[1, 14], [2, 1], [3, 3], [4, 1], [6, 1]], 2323/2080423437926400], [[[1, 14], [2, 1], [4, 1], [5, 1], [8, 1]], 47/71345111040000], [[[1, 14], [2, 1], [4, 1], [5, 1], [10, 1]], 1/66886041600000], [[[1, 14], [2, 1], [4, 1], [5, 1], [12, 1]], 1/40131624960000], [[[1, 14], [2, 1], [4, 1], [6, 1], [7, 1]], 1/22473709977600], [[[1, 14], [2, 1], [4, 1], [6, 1], [9, 1]], 1/86684309913600], [[[1, 14], [2, 1], [4, 1], [6, 1], [18, 1]], 1/1155790798848000], [[[1, 14], [2, 1], [4, 1], [6, 2], [12, 1]], 1/6164217593856000], [[[1, 14], [2, 1], [4, 2], [6, 1], [8, 1]], 13/1232843518771200], [[[1, 14], [2, 1], [4, 2], [6, 1], [10, 1]], 1/1541054398464000], [[[1, 14], [2, 1], [4, 2], [6, 1], [12, 1]], 1/1232843518771200], [[[1, 14], [2, 1], [5, 1], [6, 1], [8, 1]], 1/80263249920000], [[[1, 14], [2, 1], [5, 1], [6, 1], [10, 1]], 1/100329062400000], [[[1, 14], [2, 1], [5, 1], [6, 1], [12, 1]], 1/80263249920000], [[[1, 14], [2, 3], [3, 1], [4, 1], [5, 1]], 393247/2311581597696000], [[[1, 14], [2, 3], [3, 1], [4, 1], [6, 2]], 126659/55477958344704000], [[[1, 14], [2, 3], [3, 1], [4, 1], [8, 1]], 190063/7925422620672000], [[[1, 14], [2, 3], [3, 1], [4, 1], [10, 1]], 667/361184624640000], [[[1, 14], [2, 3], [3, 1], [4, 1], [12, 1]], 11999/3962711310336000], [[[1, 14], [2, 3], [3, 1], [4, 2], [6, 1]], 11066093/499301625102336000], [[[1, 14], [2, 3], [3, 1], [5, 1], [6, 1]], 10151/288947699712000], [[[1, 14], [2, 3], [3, 1], [6, 1], [8, 1]], 18847/6934744793088000], [[[1, 14], [2, 3], [3, 1], [6, 1], [10, 1]], 10303/26005292974080000], [[[1, 14], [2, 3], [3, 1], [6, 1], [12, 1]], 6371/12482540627558400], [[[1, 14], [2, 3], [3, 2], [4, 1], [6, 1]], 1333301/20804234379264000], [[[1, 14], [2, 3], [4, 1], [5, 1], [6, 1]], 19393/1926317998080000], [[[1, 14], [2, 3], [4, 1], [6, 1], [8, 1]], 67/97844723712000], [[[1, 14], [2, 3], [4, 1], [6, 1], [10, 1]], 31/240789749760000], [[[1, 14], [2, 3], [4, 1], [6, 1], [12, 1]], 41/288947699712000], [[[1, 14], [2, 5], [3, 1], [4, 1], [6, 1]], 10706357/110955916689408000], [[[1, 15], [2, 2], [3, 1], [4, 1], [5, 1]], 691/108355387392000], [[[1, 15], [2, 2], [3, 1], [4, 1], [6, 2]], 19/1155790798848000], [[[1, 15], [2, 2], [3, 1], [4, 1], [8, 1]], 25811/55477958344704000], [[[1, 15], [2, 2], [3, 1], [4, 1], [10, 1]], 157/17336861982720000], [[[1, 15], [2, 2], [3, 1], [4, 1], [12, 1]], 643/10402117189632000], [[[1, 15], [2, 2], [3, 1], [4, 2], [6, 1]], 119171/499301625102336000], [[[1, 15], [2, 2], [3, 1], [5, 1], [6, 1]], 437/577895399424000], [[[1, 15], [2, 2], [3, 1], [6, 1], [8, 1]], 61/2972033482752000], [[[1, 15], [2, 2], [3, 1], [6, 1], [10, 1]], 79/13002646487040000], [[[1, 15], [2, 2], [3, 1], [6, 1], [12, 1]], 517/62412703137792000], [[[1, 15], [2, 2], [3, 2], [4, 1], [6, 1]], 65257/55477958344704000], [[[1, 15], [2, 2], [4, 1], [5, 1], [6, 1]], 137/963158999040000], [[[1, 15], [2, 2], [4, 1], [6, 1], [8, 1]], 31/6164217593856000], [[[1, 15], [2, 2], [4, 1], [6, 1], [10, 1]], 1/1284211998720000], [[[1, 15], [2, 2], [4, 1], [6, 1], [12, 1]], 1/1027369598976000], [[[1, 15], [2, 4], [3, 1], [4, 1], [6, 1]], 5182199/1165037125238784000], [[[1, 16], [2, 1], [3, 1], [4, 1], [5, 1]], 3161/34673723965440000], [[[1, 16], [2, 1], [3, 1], [4, 1], [6, 2]], 1/18492652781568000], [[[1, 16], [2, 1], [3, 1], [4, 1], [8, 1]], 167/55477958344704000], [[[1, 16], [2, 1], [3, 1], [4, 1], [10, 1]], 1/17336861982720000], [[[1, 16], [2, 1], [3, 1], [4, 1], [12, 1]], 1/2377626786201600], [[[1, 16], [2, 1], [3, 1], [4, 2], [6, 1]], 1/3698530556313600], [[[1, 16], [2, 1], [3, 1], [5, 1], [6, 1]], 1/240789749760000], [[[1, 16], [2, 1], [3, 1], [6, 1], [8, 1]], 1/20804234379264000], [[[1, 16], [2, 1], [3, 1], [6, 1], [10, 1]], 1/26005292974080000], [[[1, 16], [2, 1], [3, 1], [6, 1], [12, 1]], 1/20804234379264000], [[[1, 16], [2, 1], [3, 2], [4, 1], [6, 1]], 13/2600529297408000], [[[1, 16], [2, 1], [4, 1], [5, 1], [6, 1]], 1/963158999040000], [[[1, 16], [2, 3], [3, 1], [4, 1], [6, 1]], 117463/1165037125238784000], [[[1, 17], [2, 2], [3, 1], [4, 1], [6, 1]], 15209/15533828336517120000], [[[1, 18], [2, 1], [3, 1], [4, 1], [6, 1]], 187/46601485009551360000], [[[2, 1], [3, 1], [4, 2], [9, 1], [12, 3]], 7/6718464], [[[2, 1], [3, 1], [4, 2], [9, 1], [28, 1]], 1/6048], [[[2, 1], [3, 1], [4, 2], [9, 1], [36, 1]], 1/23328], [[[2, 1], [3, 1], [4, 4], [5, 2], [9, 1]], 1/2985984000], [[[2, 1], [3, 1], [4, 4], [6, 4], [9, 1]], 1/773967052800], [[[2, 1], [3, 1], [4, 4], [8, 2], [9, 1]], 241/955514880], [[[2, 1], [3, 1], [4, 4], [9, 1], [10, 2]], 1/2985984000], [[[2, 1], [3, 1], [4, 4], [9, 1], [12, 2]], 3841/1433272320], [[[2, 1], [3, 1], [4, 4], [9, 1], [15, 1]], 1/149299200], [[[2, 1], [3, 1], [4, 4], [9, 1], [20, 1]], 77/19906560], [[[2, 1], [3, 1], [4, 4], [9, 1], [24, 1]], 1/119439360], [[[2, 1], [3, 1], [4, 4], [9, 1], [30, 1]], 1/149299200], [[[2, 1], [3, 1], [4, 6], [9, 1], [12, 1]], 19/1074954240], [[[2, 1], [3, 1], [5, 2], [6, 4], [9, 1]], 1/10077696000], [[[2, 1], [3, 1], [5, 2], [8, 2], [9, 1]], 1/12441600], [[[2, 1], [3, 1], [5, 2], [9, 1], [10, 2]], 301/38880000], [[[2, 1], [3, 1], [5, 2], [9, 1], [12, 2]], 1/18662400], [[[2, 1], [3, 1], [5, 2], [9, 1], [15, 1]], 1/1944000], [[[2, 1], [3, 1], [5, 2], [9, 1], [20, 1]], 1/1296000], [[[2, 1], [3, 1], [5, 2], [9, 1], [24, 1]], 1/1555200], [[[2, 1], [3, 1], [5, 2], [9, 1], [30, 1]], 1/1944000], [[[2, 1], [3, 1], [6, 2], [9, 1], [12, 3]], 1/8957952], [[[2, 1], [3, 1], [6, 2], [9, 1], [18, 2]], 55/629856], [[[2, 1], [3, 1], [6, 4], [8, 2], [9, 1]], 1/3224862720], [[[2, 1], [3, 1], [6, 4], [9, 1], [10, 2]], 1/10077696000], [[[2, 1], [3, 1], [6, 4], [9, 1], [12, 2]], 271/4837294080], [[[2, 1], [3, 1], [6, 4], [9, 1], [15, 1]], 1/503884800], [[[2, 1], [3, 1], [6, 4], [9, 1], [20, 1]], 1/335923200], [[[2, 1], [3, 1], [6, 4], [9, 1], [24, 1]], 1/403107840], [[[2, 1], [3, 1], [6, 4], [9, 1], [30, 1]], 1/503884800], [[[2, 1], [3, 1], [6, 5], [9, 1], [18, 1]], 7/226748160], [[[2, 1], [3, 1], [6, 6], [9, 1], [12, 1]], 1/4837294080], [[[2, 1], [3, 1], [8, 2], [9, 1], [10, 2]], 1/12441600], [[[2, 1], [3, 1], [8, 2], [9, 1], [12, 2]], 1/5971968], [[[2, 1], [3, 1], [8, 2], [9, 1], [15, 1]], 1/622080], [[[2, 1], [3, 1], [8, 2], [9, 1], [20, 1]], 1/414720], [[[2, 1], [3, 1], [8, 2], [9, 1], [24, 1]], 11/165888], [[[2, 1], [3, 1], [8, 2], [9, 1], [30, 1]], 1/622080], [[[2, 1], [3, 1], [9, 1], [10, 2], [12, 2]], 1/18662400], [[[2, 1], [3, 1], [9, 1], [10, 2], [15, 1]], 1/1944000], [[[2, 1], [3, 1], [9, 1], [10, 2], [20, 1]], 1/1296000], [[[2, 1], [3, 1], [9, 1], [10, 2], [24, 1]], 1/1555200], [[[2, 1], [3, 1], [9, 1], [10, 2], [30, 1]], 1/1944000], [[[2, 1], [3, 1], [9, 1], [12, 1], [36, 1]], 1/11664], [[[2, 1], [3, 1], [9, 1], [12, 2], [15, 1]], 1/933120], [[[2, 1], [3, 1], [9, 1], [12, 2], [20, 1]], 1/622080], [[[2, 1], [3, 1], [9, 1], [12, 2], [24, 1]], 13/746496], [[[2, 1], [3, 1], [9, 1], [12, 2], [30, 1]], 1/933120], [[[2, 1], [3, 1], [9, 1], [15, 1], [20, 1]], 1/64800], [[[2, 1], [3, 1], [9, 1], [15, 1], [24, 1]], 1/77760], [[[2, 1], [3, 1], [9, 1], [15, 1], [30, 1]], 1/6075], [[[2, 1], [3, 1], [9, 1], [20, 1], [24, 1]], 1/51840], [[[2, 1], [3, 1], [9, 1], [20, 1], [30, 1]], 1/64800], [[[2, 1], [3, 1], [9, 1], [24, 1], [30, 1]], 1/77760], [[[2, 1], [3, 2], [4, 2], [5, 2], [12, 2]], 1/24883200], [[[2, 1], [3, 2], [4, 2], [6, 2], [12, 3]], 673/214990848], [[[2, 1], [3, 2], [4, 2], [6, 2], [28, 1]], 1/193536], [[[2, 1], [3, 2], [4, 2], [6, 2], [36, 1]], 1/746496], [[[2, 1], [3, 2], [4, 2], [6, 4], [12, 2]], 6571/6449725440], [[[2, 1], [3, 2], [4, 2], [6, 6], [12, 1]], 73/38698352640], [[[2, 1], [3, 2], [4, 2], [8, 2], [12, 2]], 13/7962624], [[[2, 1], [3, 2], [4, 2], [9, 2], [12, 1]], 1/839808], [[[2, 1], [3, 2], [4, 2], [10, 2], [12, 2]], 1/24883200], [[[2, 1], [3, 2], [4, 2], [12, 1], [28, 1]], 1/32256], [[[2, 1], [3, 2], [4, 2], [12, 1], [36, 1]], 1/124416], [[[2, 1], [3, 2], [4, 2], [12, 2], [15, 1]], 1/1244160], [[[2, 1], [3, 2], [4, 2], [12, 2], [20, 1]], 13/829440], [[[2, 1], [3, 2], [4, 2], [12, 2], [24, 1]], 7/995328], [[[2, 1], [3, 2], [4, 2], [12, 2], [30, 1]], 1/1244160], [[[2, 1], [3, 2], [4, 4], [5, 2], [6, 2]], 1/95551488000], [[[2, 1], [3, 2], [4, 4], [5, 2], [12, 1]], 1/15925248000], [[[2, 1], [3, 2], [4, 4], [6, 2], [8, 2]], 241/30576476160], [[[2, 1], [3, 2], [4, 4], [6, 2], [10, 2]], 1/95551488000], [[[2, 1], [3, 2], [4, 4], [6, 2], [12, 2]], 188311/45864714240], [[[2, 1], [3, 2], [4, 4], [6, 2], [15, 1]], 1/4777574400], [[[2, 1], [3, 2], [4, 4], [6, 2], [20, 1]], 77/637009920], [[[2, 1], [3, 2], [4, 4], [6, 2], [24, 1]], 73/3822059520], [[[2, 1], [3, 2], [4, 4], [6, 2], [30, 1]], 1/4777574400], [[[2, 1], [3, 2], [4, 4], [6, 3], [18, 1]], 1/8599633920], [[[2, 1], [3, 2], [4, 4], [6, 4], [12, 1]], 91/4127824281600], [[[2, 1], [3, 2], [4, 4], [8, 2], [12, 1]], 241/5096079360], [[[2, 1], [3, 2], [4, 4], [10, 2], [12, 1]], 1/15925248000], [[[2, 1], [3, 2], [4, 4], [12, 1], [15, 1]], 1/796262400], [[[2, 1], [3, 2], [4, 4], [12, 1], [20, 1]], 77/106168320], [[[2, 1], [3, 2], [4, 4], [12, 1], [24, 1]], 1/637009920], [[[2, 1], [3, 2], [4, 4], [12, 1], [30, 1]], 1/796262400], [[[2, 1], [3, 2], [4, 6], [6, 2], [12, 1]], 47/6879707136], [[[2, 1], [3, 2], [5, 2], [6, 2], [8, 2]], 1/398131200], [[[2, 1], [3, 2], [5, 2], [6, 2], [10, 2]], 301/1244160000], [[[2, 1], [3, 2], [5, 2], [6, 2], [12, 2]], 151/597196800], [[[2, 1], [3, 2], [5, 2], [6, 2], [15, 1]], 1/62208000], [[[2, 1], [3, 2], [5, 2], [6, 2], [20, 1]], 1/41472000], [[[2, 1], [3, 2], [5, 2], [6, 2], [24, 1]], 73/49766400], [[[2, 1], [3, 2], [5, 2], [6, 2], [30, 1]], 1/62208000], [[[2, 1], [3, 2], [5, 2], [6, 3], [18, 1]], 1/111974400], [[[2, 1], [3, 2], [5, 2], [6, 4], [12, 1]], 91/53747712000], [[[2, 1], [3, 2], [5, 2], [8, 2], [12, 1]], 1/66355200], [[[2, 1], [3, 2], [5, 2], [10, 2], [12, 1]], 301/207360000], [[[2, 1], [3, 2], [5, 2], [12, 1], [15, 1]], 1/10368000], [[[2, 1], [3, 2], [5, 2], [12, 1], [20, 1]], 1/6912000], [[[2, 1], [3, 2], [5, 2], [12, 1], [24, 1]], 1/8294400], [[[2, 1], [3, 2], [5, 2], [12, 1], [30, 1]], 1/10368000], [[[2, 1], [3, 2], [6, 1], [9, 2], [18, 1]], 55/629856], [[[2, 1], [3, 2], [6, 1], [12, 3], [18, 1]], 1/8957952], [[[2, 1], [3, 2], [6, 2], [8, 2], [10, 2]], 1/398131200], [[[2, 1], [3, 2], [6, 2], [8, 2], [12, 2]], 151/191102976], [[[2, 1], [3, 2], [6, 2], [8, 2], [15, 1]], 1/19906560], [[[2, 1], [3, 2], [6, 2], [8, 2], [20, 1]], 1/13271040], [[[2, 1], [3, 2], [6, 2], [8, 2], [24, 1]], 35/5308416], [[[2, 1], [3, 2], [6, 2], [8, 2], [30, 1]], 1/19906560], [[[2, 1], [3, 2], [6, 2], [9, 2], [12, 1]], 1/3359232], [[[2, 1], [3, 2], [6, 2], [10, 2], [12, 2]], 151/597196800], [[[2, 1], [3, 2], [6, 2], [10, 2], [15, 1]], 1/62208000], [[[2, 1], [3, 2], [6, 2], [10, 2], [20, 1]], 1/41472000], [[[2, 1], [3, 2], [6, 2], [10, 2], [24, 1]], 73/49766400], [[[2, 1], [3, 2], [6, 2], [10, 2], [30, 1]], 1/62208000], [[[2, 1], [3, 2], [6, 2], [12, 1], [18, 2]], 1/3359232], [[[2, 1], [3, 2], [6, 2], [12, 1], [36, 1]], 1/373248], [[[2, 1], [3, 2], [6, 2], [12, 2], [15, 1]], 151/29859840], [[[2, 1], [3, 2], [6, 2], [12, 2], [20, 1]], 151/19906560], [[[2, 1], [3, 2], [6, 2], [12, 2], [24, 1]], 235/23887872], [[[2, 1], [3, 2], [6, 2], [12, 2], [30, 1]], 151/29859840], [[[2, 1], [3, 2], [6, 2], [15, 1], [20, 1]], 1/2073600], [[[2, 1], [3, 2], [6, 2], [15, 1], [24, 1]], 73/2488320], [[[2, 1], [3, 2], [6, 2], [15, 1], [30, 1]], 1/194400], [[[2, 1], [3, 2], [6, 2], [20, 1], [24, 1]], 73/1658880], [[[2, 1], [3, 2], [6, 2], [20, 1], [30, 1]], 1/2073600], [[[2, 1], [3, 2], [6, 2], [24, 1], [30, 1]], 73/2488320], [[[2, 1], [3, 2], [6, 3], [8, 2], [18, 1]], 1/35831808], [[[2, 1], [3, 2], [6, 3], [10, 2], [18, 1]], 1/111974400], [[[2, 1], [3, 2], [6, 3], [12, 2], [18, 1]], 151/53747712], [[[2, 1], [3, 2], [6, 3], [15, 1], [18, 1]], 1/5598720], [[[2, 1], [3, 2], [6, 3], [18, 1], [20, 1]], 1/3732480], [[[2, 1], [3, 2], [6, 3], [18, 1], [24, 1]], 73/4478976], [[[2, 1], [3, 2], [6, 3], [18, 1], [30, 1]], 1/5598720], [[[2, 1], [3, 2], [6, 4], [8, 2], [12, 1]], 91/17199267840], [[[2, 1], [3, 2], [6, 4], [10, 2], [12, 1]], 91/53747712000], [[[2, 1], [3, 2], [6, 4], [12, 1], [15, 1]], 91/2687385600], [[[2, 1], [3, 2], [6, 4], [12, 1], [20, 1]], 91/1791590400], [[[2, 1], [3, 2], [6, 4], [12, 1], [24, 1]], 6571/2149908480], [[[2, 1], [3, 2], [6, 4], [12, 1], [30, 1]], 91/2687385600], [[[2, 1], [3, 2], [6, 5], [12, 1], [18, 1]], 91/4837294080], [[[2, 1], [3, 2], [8, 2], [10, 2], [12, 1]], 1/66355200], [[[2, 1], [3, 2], [8, 2], [12, 1], [15, 1]], 1/3317760], [[[2, 1], [3, 2], [8, 2], [12, 1], [20, 1]], 1/2211840], [[[2, 1], [3, 2], [8, 2], [12, 1], [24, 1]], 11/884736], [[[2, 1], [3, 2], [8, 2], [12, 1], [30, 1]], 1/3317760], [[[2, 1], [3, 2], [10, 2], [12, 1], [15, 1]], 1/10368000], [[[2, 1], [3, 2], [10, 2], [12, 1], [20, 1]], 1/6912000], [[[2, 1], [3, 2], [10, 2], [12, 1], [24, 1]], 1/8294400], [[[2, 1], [3, 2], [10, 2], [12, 1], [30, 1]], 1/10368000], [[[2, 1], [3, 2], [12, 1], [15, 1], [20, 1]], 1/345600], [[[2, 1], [3, 2], [12, 1], [15, 1], [24, 1]], 1/414720], [[[2, 1], [3, 2], [12, 1], [15, 1], [30, 1]], 1/32400], [[[2, 1], [3, 2], [12, 1], [20, 1], [24, 1]], 1/276480], [[[2, 1], [3, 2], [12, 1], [20, 1], [30, 1]], 1/345600], [[[2, 1], [3, 2], [12, 1], [24, 1], [30, 1]], 1/414720], [[[2, 1], [3, 3], [4, 2], [9, 1], [12, 2]], 1/2239488], [[[2, 1], [3, 3], [4, 4], [6, 2], [9, 1]], 1/8599633920], [[[2, 1], [3, 3], [4, 4], [9, 1], [12, 1]], 1/1433272320], [[[2, 1], [3, 3], [5, 2], [6, 2], [9, 1]], 1/111974400], [[[2, 1], [3, 3], [5, 2], [9, 1], [12, 1]], 1/18662400], [[[2, 1], [3, 3], [6, 2], [8, 2], [9, 1]], 1/35831808], [[[2, 1], [3, 3], [6, 2], [9, 1], [10, 2]], 1/111974400], [[[2, 1], [3, 3], [6, 2], [9, 1], [12, 2]], 151/53747712], [[[2, 1], [3, 3], [6, 2], [9, 1], [15, 1]], 1/5598720], [[[2, 1], [3, 3], [6, 2], [9, 1], [20, 1]], 1/3732480], [[[2, 1], [3, 3], [6, 2], [9, 1], [24, 1]], 73/4478976], [[[2, 1], [3, 3], [6, 2], [9, 1], [30, 1]], 1/5598720], [[[2, 1], [3, 3], [6, 3], [9, 1], [18, 1]], 7/2519424], [[[2, 1], [3, 3], [6, 4], [9, 1], [12, 1]], 91/4837294080], [[[2, 1], [3, 3], [8, 2], [9, 1], [12, 1]], 1/5971968], [[[2, 1], [3, 3], [9, 1], [10, 2], [12, 1]], 1/18662400], [[[2, 1], [3, 3], [9, 1], [12, 1], [15, 1]], 1/933120], [[[2, 1], [3, 3], [9, 1], [12, 1], [20, 1]], 1/622080], [[[2, 1], [3, 3], [9, 1], [12, 1], [24, 1]], 1/746496], [[[2, 1], [3, 3], [9, 1], [12, 1], [30, 1]], 1/933120], [[[2, 1], [3, 4], [4, 2], [5, 2], [12, 1]], 1/13436928000], [[[2, 1], [3, 4], [4, 2], [6, 2], [12, 2]], 6571/6449725440], [[[2, 1], [3, 4], [4, 2], [6, 4], [12, 1]], 665011/3482851737600], [[[2, 1], [3, 4], [4, 2], [8, 1], [16, 1]], 1/79626240], [[[2, 1], [3, 4], [4, 2], [8, 2], [12, 1]], 13/4299816960], [[[2, 1], [3, 4], [4, 2], [10, 2], [12, 1]], 1/13436928000], [[[2, 1], [3, 4], [4, 2], [12, 1], [15, 1]], 1/671846400], [[[2, 1], [3, 4], [4, 2], [12, 1], [20, 1]], 13/447897600], [[[2, 1], [3, 4], [4, 2], [12, 1], [24, 1]], 7/537477120], [[[2, 1], [3, 4], [4, 2], [12, 1], [30, 1]], 1/671846400], [[[2, 1], [3, 4], [4, 4], [6, 1], [18, 1]], 1/773967052800], [[[2, 1], [3, 4], [4, 4], [6, 2], [12, 1]], 91/4127824281600], [[[2, 1], [3, 4], [5, 2], [6, 1], [18, 1]], 1/10077696000], [[[2, 1], [3, 4], [5, 2], [6, 2], [12, 1]], 91/53747712000], [[[2, 1], [3, 4], [6, 1], [8, 2], [18, 1]], 1/3224862720], [[[2, 1], [3, 4], [6, 1], [10, 2], [18, 1]], 1/10077696000], [[[2, 1], [3, 4], [6, 1], [12, 2], [18, 1]], 271/4837294080], [[[2, 1], [3, 4], [6, 1], [15, 1], [18, 1]], 1/503884800], [[[2, 1], [3, 4], [6, 1], [18, 1], [20, 1]], 1/335923200], [[[2, 1], [3, 4], [6, 1], [18, 1], [24, 1]], 1/403107840], [[[2, 1], [3, 4], [6, 1], [18, 1], [30, 1]], 1/503884800], [[[2, 1], [3, 4], [6, 2], [8, 2], [12, 1]], 91/17199267840], [[[2, 1], [3, 4], [6, 2], [10, 2], [12, 1]], 91/53747712000], [[[2, 1], [3, 4], [6, 2], [12, 1], [15, 1]], 91/2687385600], [[[2, 1], [3, 4], [6, 2], [12, 1], [20, 1]], 91/1791590400], [[[2, 1], [3, 4], [6, 2], [12, 1], [24, 1]], 6571/2149908480], [[[2, 1], [3, 4], [6, 2], [12, 1], [30, 1]], 91/2687385600], [[[2, 1], [3, 4], [6, 3], [12, 1], [18, 1]], 91/4837294080], [[[2, 1], [3, 5], [4, 2], [9, 1], [12, 1]], 1/1209323520], [[[2, 1], [3, 5], [6, 1], [9, 1], [18, 1]], 7/226748160], [[[2, 1], [3, 5], [6, 2], [9, 1], [12, 1]], 91/4837294080], [[[2, 1], [3, 6], [4, 2], [6, 2], [12, 1]], 73/38698352640], [[[2, 1], [3, 6], [6, 1], [12, 1], [18, 1]], 1/4837294080], [[[2, 1], [4, 2], [5, 2], [6, 2], [12, 2]], 1/24883200], [[[2, 1], [4, 2], [5, 2], [6, 4], [12, 1]], 1/13436928000], [[[2, 1], [4, 2], [5, 2], [8, 1], [16, 1]], 1/307200], [[[2, 1], [4, 2], [5, 2], [8, 2], [12, 1]], 13/16588800], [[[2, 1], [4, 2], [5, 2], [10, 2], [12, 1]], 301/51840000], [[[2, 1], [4, 2], [5, 2], [12, 1], [15, 1]], 1/2592000], [[[2, 1], [4, 2], [5, 2], [12, 1], [20, 1]], 13/1728000], [[[2, 1], [4, 2], [5, 2], [12, 1], [24, 1]], 7/2073600], [[[2, 1], [4, 2], [5, 2], [12, 1], [30, 1]], 1/2592000], [[[2, 1], [4, 2], [6, 1], [12, 3], [18, 1]], 7/6718464], [[[2, 1], [4, 2], [6, 1], [18, 1], [28, 1]], 1/6048], [[[2, 1], [4, 2], [6, 1], [18, 1], [36, 1]], 1/23328], [[[2, 1], [4, 2], [6, 2], [8, 2], [12, 2]], 13/7962624], [[[2, 1], [4, 2], [6, 2], [10, 2], [12, 2]], 1/24883200], [[[2, 1], [4, 2], [6, 2], [12, 1], [18, 2]], 1/839808], [[[2, 1], [4, 2], [6, 2], [12, 1], [28, 1]], 1/32256], [[[2, 1], [4, 2], [6, 2], [12, 1], [36, 1]], 1/124416], [[[2, 1], [4, 2], [6, 2], [12, 2], [15, 1]], 1/1244160], [[[2, 1], [4, 2], [6, 2], [12, 2], [20, 1]], 13/829440], [[[2, 1], [4, 2], [6, 2], [12, 2], [24, 1]], 7/995328], [[[2, 1], [4, 2], [6, 2], [12, 2], [30, 1]], 1/1244160], [[[2, 1], [4, 2], [6, 3], [12, 2], [18, 1]], 1/2239488], [[[2, 1], [4, 2], [6, 4], [8, 1], [16, 1]], 1/79626240], [[[2, 1], [4, 2], [6, 4], [8, 2], [12, 1]], 13/4299816960], [[[2, 1], [4, 2], [6, 4], [10, 2], [12, 1]], 1/13436928000], [[[2, 1], [4, 2], [6, 4], [12, 1], [15, 1]], 1/671846400], [[[2, 1], [4, 2], [6, 4], [12, 1], [20, 1]], 13/447897600], [[[2, 1], [4, 2], [6, 4], [12, 1], [24, 1]], 7/537477120], [[[2, 1], [4, 2], [6, 4], [12, 1], [30, 1]], 1/671846400], [[[2, 1], [4, 2], [6, 5], [12, 1], [18, 1]], 1/1209323520], [[[2, 1], [4, 2], [8, 1], [10, 2], [16, 1]], 1/307200], [[[2, 1], [4, 2], [8, 1], [12, 2], [16, 1]], 1/147456], [[[2, 1], [4, 2], [8, 1], [15, 1], [16, 1]], 1/15360], [[[2, 1], [4, 2], [8, 1], [16, 1], [20, 1]], 1/10240], [[[2, 1], [4, 2], [8, 1], [16, 1], [24, 1]], 1/12288], [[[2, 1], [4, 2], [8, 1], [16, 1], [30, 1]], 1/15360], [[[2, 1], [4, 2], [8, 2], [10, 2], [12, 1]], 13/16588800], [[[2, 1], [4, 2], [8, 2], [12, 1], [15, 1]], 13/829440], [[[2, 1], [4, 2], [8, 2], [12, 1], [20, 1]], 5/110592], [[[2, 1], [4, 2], [8, 2], [12, 1], [24, 1]], 17/221184], [[[2, 1], [4, 2], [8, 2], [12, 1], [30, 1]], 13/829440], [[[2, 1], [4, 2], [10, 2], [12, 1], [15, 1]], 1/2592000], [[[2, 1], [4, 2], [10, 2], [12, 1], [20, 1]], 13/1728000], [[[2, 1], [4, 2], [10, 2], [12, 1], [24, 1]], 7/2073600], [[[2, 1], [4, 2], [10, 2], [12, 1], [30, 1]], 1/2592000], [[[2, 1], [4, 2], [12, 1], [15, 1], [20, 1]], 13/86400], [[[2, 1], [4, 2], [12, 1], [15, 1], [24, 1]], 7/103680], [[[2, 1], [4, 2], [12, 1], [15, 1], [30, 1]], 1/8100], [[[2, 1], [4, 2], [12, 1], [20, 1], [24, 1]], 19/69120], [[[2, 1], [4, 2], [12, 1], [20, 1], [30, 1]], 13/86400], [[[2, 1], [4, 2], [12, 1], [24, 1], [30, 1]], 7/103680], [[[2, 1], [4, 4], [5, 2], [6, 1], [18, 1]], 1/2985984000], [[[2, 1], [4, 4], [5, 2], [6, 2], [12, 1]], 1/15925248000], [[[2, 1], [4, 4], [6, 1], [8, 2], [18, 1]], 241/955514880], [[[2, 1], [4, 4], [6, 1], [10, 2], [18, 1]], 1/2985984000], [[[2, 1], [4, 4], [6, 1], [12, 2], [18, 1]], 3841/1433272320], [[[2, 1], [4, 4], [6, 1], [15, 1], [18, 1]], 1/149299200], [[[2, 1], [4, 4], [6, 1], [18, 1], [20, 1]], 77/19906560], [[[2, 1], [4, 4], [6, 1], [18, 1], [24, 1]], 1/119439360], [[[2, 1], [4, 4], [6, 1], [18, 1], [30, 1]], 1/149299200], [[[2, 1], [4, 4], [6, 2], [8, 2], [12, 1]], 241/5096079360], [[[2, 1], [4, 4], [6, 2], [10, 2], [12, 1]], 1/15925248000], [[[2, 1], [4, 4], [6, 2], [12, 1], [15, 1]], 1/796262400], [[[2, 1], [4, 4], [6, 2], [12, 1], [20, 1]], 77/106168320], [[[2, 1], [4, 4], [6, 2], [12, 1], [24, 1]], 1/637009920], [[[2, 1], [4, 4], [6, 2], [12, 1], [30, 1]], 1/796262400], [[[2, 1], [4, 4], [6, 3], [12, 1], [18, 1]], 1/1433272320], [[[2, 1], [4, 4], [8, 1], [12, 1], [16, 1]], 1/36864], [[[2, 1], [4, 6], [6, 1], [12, 1], [18, 1]], 19/1074954240], [[[2, 1], [5, 2], [6, 1], [8, 2], [18, 1]], 1/12441600], [[[2, 1], [5, 2], [6, 1], [10, 2], [18, 1]], 301/38880000], [[[2, 1], [5, 2], [6, 1], [12, 2], [18, 1]], 1/18662400], [[[2, 1], [5, 2], [6, 1], [15, 1], [18, 1]], 1/1944000], [[[2, 1], [5, 2], [6, 1], [18, 1], [20, 1]], 1/1296000], [[[2, 1], [5, 2], [6, 1], [18, 1], [24, 1]], 1/1555200], [[[2, 1], [5, 2], [6, 1], [18, 1], [30, 1]], 1/1944000], [[[2, 1], [5, 2], [6, 2], [8, 2], [12, 1]], 1/66355200], [[[2, 1], [5, 2], [6, 2], [10, 2], [12, 1]], 301/207360000], [[[2, 1], [5, 2], [6, 2], [12, 1], [15, 1]], 1/10368000], [[[2, 1], [5, 2], [6, 2], [12, 1], [20, 1]], 1/6912000], [[[2, 1], [5, 2], [6, 2], [12, 1], [24, 1]], 1/8294400], [[[2, 1], [5, 2], [6, 2], [12, 1], [30, 1]], 1/10368000], [[[2, 1], [5, 2], [6, 3], [12, 1], [18, 1]], 1/18662400], [[[2, 1], [6, 1], [8, 2], [10, 2], [18, 1]], 1/12441600], [[[2, 1], [6, 1], [8, 2], [12, 2], [18, 1]], 1/5971968], [[[2, 1], [6, 1], [8, 2], [15, 1], [18, 1]], 1/622080], [[[2, 1], [6, 1], [8, 2], [18, 1], [20, 1]], 1/414720], [[[2, 1], [6, 1], [8, 2], [18, 1], [24, 1]], 11/165888], [[[2, 1], [6, 1], [8, 2], [18, 1], [30, 1]], 1/622080], [[[2, 1], [6, 1], [10, 2], [12, 2], [18, 1]], 1/18662400], [[[2, 1], [6, 1], [10, 2], [15, 1], [18, 1]], 1/1944000], [[[2, 1], [6, 1], [10, 2], [18, 1], [20, 1]], 1/1296000], [[[2, 1], [6, 1], [10, 2], [18, 1], [24, 1]], 1/1555200], [[[2, 1], [6, 1], [10, 2], [18, 1], [30, 1]], 1/1944000], [[[2, 1], [6, 1], [12, 1], [18, 1], [36, 1]], 1/11664], [[[2, 1], [6, 1], [12, 2], [15, 1], [18, 1]], 1/933120], [[[2, 1], [6, 1], [12, 2], [18, 1], [20, 1]], 1/622080], [[[2, 1], [6, 1], [12, 2], [18, 1], [24, 1]], 13/746496], [[[2, 1], [6, 1], [12, 2], [18, 1], [30, 1]], 1/933120], [[[2, 1], [6, 1], [15, 1], [18, 1], [20, 1]], 1/64800], [[[2, 1], [6, 1], [15, 1], [18, 1], [24, 1]], 1/77760], [[[2, 1], [6, 1], [15, 1], [18, 1], [30, 1]], 1/6075], [[[2, 1], [6, 1], [18, 1], [20, 1], [24, 1]], 1/51840], [[[2, 1], [6, 1], [18, 1], [20, 1], [30, 1]], 1/64800], [[[2, 1], [6, 1], [18, 1], [24, 1], [30, 1]], 1/77760], [[[2, 1], [6, 2], [8, 2], [10, 2], [12, 1]], 1/66355200], [[[2, 1], [6, 2], [8, 2], [12, 1], [15, 1]], 1/3317760], [[[2, 1], [6, 2], [8, 2], [12, 1], [20, 1]], 1/2211840], [[[2, 1], [6, 2], [8, 2], [12, 1], [24, 1]], 11/884736], [[[2, 1], [6, 2], [8, 2], [12, 1], [30, 1]], 1/3317760], [[[2, 1], [6, 2], [10, 2], [12, 1], [15, 1]], 1/10368000], [[[2, 1], [6, 2], [10, 2], [12, 1], [20, 1]], 1/6912000], [[[2, 1], [6, 2], [10, 2], [12, 1], [24, 1]], 1/8294400], [[[2, 1], [6, 2], [10, 2], [12, 1], [30, 1]], 1/10368000], [[[2, 1], [6, 2], [12, 1], [15, 1], [20, 1]], 1/345600], [[[2, 1], [6, 2], [12, 1], [15, 1], [24, 1]], 1/414720], [[[2, 1], [6, 2], [12, 1], [15, 1], [30, 1]], 1/32400], [[[2, 1], [6, 2], [12, 1], [20, 1], [24, 1]], 1/276480], [[[2, 1], [6, 2], [12, 1], [20, 1], [30, 1]], 1/345600], [[[2, 1], [6, 2], [12, 1], [24, 1], [30, 1]], 1/414720], [[[2, 1], [6, 3], [8, 2], [12, 1], [18, 1]], 1/5971968], [[[2, 1], [6, 3], [10, 2], [12, 1], [18, 1]], 1/18662400], [[[2, 1], [6, 3], [12, 1], [15, 1], [18, 1]], 1/933120], [[[2, 1], [6, 3], [12, 1], [18, 1], [20, 1]], 1/622080], [[[2, 1], [6, 3], [12, 1], [18, 1], [24, 1]], 1/746496], [[[2, 1], [6, 3], [12, 1], [18, 1], [30, 1]], 1/933120], [[[2, 3], [3, 1], [4, 1], [8, 3], [9, 1]], 1/2654208], [[[2, 3], [3, 1], [4, 2], [6, 5], [9, 1]], 1/9674588160], [[[2, 3], [3, 1], [4, 4], [6, 3], [9, 1]], 1/38698352640], [[[2, 3], [3, 1], [4, 4], [9, 1], [14, 1]], 1/139345920], [[[2, 3], [3, 1], [4, 4], [9, 1], [18, 1]], 1/537477120], [[[2, 3], [3, 1], [4, 5], [8, 1], [9, 1]], 1/637009920], [[[2, 3], [3, 1], [4, 6], [6, 1], [9, 1]], 1/2866544640], [[[2, 3], [3, 1], [5, 2], [6, 3], [9, 1]], 1/503884800], [[[2, 3], [3, 1], [5, 2], [9, 1], [14, 1]], 1/1814400], [[[2, 3], [3, 1], [5, 2], [9, 1], [18, 1]], 1/6998400], [[[2, 3], [3, 1], [6, 1], [9, 1], [10, 3]], 1/3888000], [[[2, 3], [3, 1], [6, 1], [9, 1], [12, 3]], 1/4478976], [[[2, 3], [3, 1], [6, 1], [9, 1], [18, 2]], 7/157464], [[[2, 3], [3, 1], [6, 3], [8, 2], [9, 1]], 1/161243136], [[[2, 3], [3, 1], [6, 3], [9, 1], [10, 2]], 1/503884800], [[[2, 3], [3, 1], [6, 3], [9, 1], [12, 2]], 55/241864704], [[[2, 3], [3, 1], [6, 3], [9, 1], [15, 1]], 1/25194240], [[[2, 3], [3, 1], [6, 3], [9, 1], [20, 1]], 1/16796160], [[[2, 3], [3, 1], [6, 3], [9, 1], [24, 1]], 1/20155392], [[[2, 3], [3, 1], [6, 3], [9, 1], [30, 1]], 1/25194240], [[[2, 3], [3, 1], [6, 4], [9, 1], [14, 1]], 1/470292480], [[[2, 3], [3, 1], [6, 4], [9, 1], [18, 1]], 1121/1813985280], [[[2, 3], [3, 1], [6, 5], [9, 1], [10, 1]], 1/1007769600], [[[2, 3], [3, 1], [6, 5], [9, 1], [12, 1]], 11/2418647040], [[[2, 3], [3, 1], [8, 2], [9, 1], [14, 1]], 1/580608], [[[2, 3], [3, 1], [8, 2], [9, 1], [18, 1]], 1/2239488], [[[2, 3], [3, 1], [9, 1], [10, 2], [14, 1]], 1/1814400], [[[2, 3], [3, 1], [9, 1], [10, 2], [18, 1]], 1/6998400], [[[2, 3], [3, 1], [9, 1], [12, 2], [14, 1]], 1/870912], [[[2, 3], [3, 1], [9, 1], [12, 2], [18, 1]], 1/3359232], [[[2, 3], [3, 1], [9, 1], [14, 1], [15, 1]], 1/90720], [[[2, 3], [3, 1], [9, 1], [14, 1], [20, 1]], 1/60480], [[[2, 3], [3, 1], [9, 1], [14, 1], [24, 1]], 1/72576], [[[2, 3], [3, 1], [9, 1], [14, 1], [30, 1]], 1/90720], [[[2, 3], [3, 1], [9, 1], [15, 1], [18, 1]], 1/349920], [[[2, 3], [3, 1], [9, 1], [18, 1], [20, 1]], 1/233280], [[[2, 3], [3, 1], [9, 1], [18, 1], [24, 1]], 1/279936], [[[2, 3], [3, 1], [9, 1], [18, 1], [30, 1]], 1/349920], [[[2, 3], [3, 2], [4, 1], [6, 2], [8, 3]], 1/84934656], [[[2, 3], [3, 2], [4, 1], [6, 6], [8, 1]], 1/68797071360], [[[2, 3], [3, 2], [4, 1], [8, 1], [9, 2]], 1/1492992], [[[2, 3], [3, 2], [4, 1], [8, 1], [12, 3]], 1/21233664], [[[2, 3], [3, 2], [4, 1], [8, 3], [12, 1]], 1/14155776], [[[2, 3], [3, 2], [4, 2], [5, 2], [6, 3]], 1/1194393600], [[[2, 3], [3, 2], [4, 2], [6, 1], [9, 2]], 1/6718464], [[[2, 3], [3, 2], [4, 2], [6, 1], [12, 3]], 209/859963392], [[[2, 3], [3, 2], [4, 2], [6, 1], [28, 1]], 1/96768], [[[2, 3], [3, 2], [4, 2], [6, 1], [36, 1]], 1/373248], [[[2, 3], [3, 2], [4, 2], [6, 3], [8, 2]], 1/382205952], [[[2, 3], [3, 2], [4, 2], [6, 3], [10, 2]], 1/1194393600], [[[2, 3], [3, 2], [4, 2], [6, 3], [12, 2]], 12031/5159780352], [[[2, 3], [3, 2], [4, 2], [6, 3], [15, 1]], 1/59719680], [[[2, 3], [3, 2], [4, 2], [6, 3], [20, 1]], 1/39813120], [[[2, 3], [3, 2], [4, 2], [6, 3], [24, 1]], 73/47775744], [[[2, 3], [3, 2], [4, 2], [6, 3], [30, 1]], 1/59719680], [[[2, 3], [3, 2], [4, 2], [6, 4], [18, 1]], 1/107495424], [[[2, 3], [3, 2], [4, 2], [6, 5], [12, 1]], 6121/154793410560], [[[2, 3], [3, 2], [4, 2], [12, 2], [14, 1]], 1/1161216], [[[2, 3], [3, 2], [4, 2], [12, 2], [18, 1]], 1/4478976], [[[2, 3], [3, 2], [4, 3], [8, 1], [12, 2]], 1/5308416], [[[2, 3], [3, 2], [4, 4], [5, 2], [6, 1]], 1/47775744000], [[[2, 3], [3, 2], [4, 4], [6, 1], [8, 2]], 241/15288238080], [[[2, 3], [3, 2], [4, 4], [6, 1], [10, 2]], 1/47775744000], [[[2, 3], [3, 2], [4, 4], [6, 1], [12, 2]], 4807/22932357120], [[[2, 3], [3, 2], [4, 4], [6, 1], [15, 1]], 1/2388787200], [[[2, 3], [3, 2], [4, 4], [6, 1], [20, 1]], 77/318504960], [[[2, 3], [3, 2], [4, 4], [6, 1], [24, 1]], 1/1911029760], [[[2, 3], [3, 2], [4, 4], [6, 1], [30, 1]], 1/2388787200], [[[2, 3], [3, 2], [4, 4], [6, 2], [14, 1]], 1/4459069440], [[[2, 3], [3, 2], [4, 4], [6, 2], [18, 1]], 1/3439853568], [[[2, 3], [3, 2], [4, 4], [6, 3], [10, 1]], 1/9555148800], [[[2, 3], [3, 2], [4, 4], [6, 3], [12, 1]], 105139/206391214080], [[[2, 3], [3, 2], [4, 4], [12, 1], [14, 1]], 1/743178240], [[[2, 3], [3, 2], [4, 4], [12, 1], [18, 1]], 1/2866544640], [[[2, 3], [3, 2], [4, 5], [6, 2], [8, 1]], 1/20384317440], [[[2, 3], [3, 2], [4, 5], [8, 1], [12, 1]], 1/3397386240], [[[2, 3], [3, 2], [4, 6], [6, 1], [12, 1]], 161/137594142720], [[[2, 3], [3, 2], [5, 2], [6, 1], [8, 2]], 1/199065600], [[[2, 3], [3, 2], [5, 2], [6, 1], [10, 2]], 301/622080000], [[[2, 3], [3, 2], [5, 2], [6, 1], [12, 2]], 7/298598400], [[[2, 3], [3, 2], [5, 2], [6, 1], [15, 1]], 1/31104000], [[[2, 3], [3, 2], [5, 2], [6, 1], [20, 1]], 1/20736000], [[[2, 3], [3, 2], [5, 2], [6, 1], [24, 1]], 1/24883200], [[[2, 3], [3, 2], [5, 2], [6, 1], [30, 1]], 1/31104000], [[[2, 3], [3, 2], [5, 2], [6, 2], [14, 1]], 1/58060800], [[[2, 3], [3, 2], [5, 2], [6, 2], [18, 1]], 1/44789760], [[[2, 3], [3, 2], [5, 2], [6, 3], [10, 1]], 1/124416000], [[[2, 3], [3, 2], [5, 2], [6, 3], [12, 1]], 19/2687385600], [[[2, 3], [3, 2], [5, 2], [12, 1], [14, 1]], 1/9676800], [[[2, 3], [3, 2], [5, 2], [12, 1], [18, 1]], 1/37324800], [[[2, 3], [3, 2], [6, 1], [8, 2], [10, 2]], 1/199065600], [[[2, 3], [3, 2], [6, 1], [8, 2], [12, 2]], 7/95551488], [[[2, 3], [3, 2], [6, 1], [8, 2], [15, 1]], 1/9953280], [[[2, 3], [3, 2], [6, 1], [8, 2], [20, 1]], 1/6635520], [[[2, 3], [3, 2], [6, 1], [8, 2], [24, 1]], 11/2654208], [[[2, 3], [3, 2], [6, 1], [8, 2], [30, 1]], 1/9953280], [[[2, 3], [3, 2], [6, 1], [9, 2], [10, 1]], 1/699840], [[[2, 3], [3, 2], [6, 1], [9, 2], [12, 1]], 1/1679616], [[[2, 3], [3, 2], [6, 1], [10, 1], [12, 3]], 1/9953280], [[[2, 3], [3, 2], [6, 1], [10, 2], [12, 2]], 7/298598400], [[[2, 3], [3, 2], [6, 1], [10, 2], [15, 1]], 1/31104000], [[[2, 3], [3, 2], [6, 1], [10, 2], [20, 1]], 1/20736000], [[[2, 3], [3, 2], [6, 1], [10, 2], [24, 1]], 1/24883200], [[[2, 3], [3, 2], [6, 1], [10, 2], [30, 1]], 1/31104000], [[[2, 3], [3, 2], [6, 1], [10, 3], [12, 1]], 1/20736000], [[[2, 3], [3, 2], [6, 1], [12, 1], [18, 2]], 1/3359232], [[[2, 3], [3, 2], [6, 1], [12, 1], [36, 1]], 1/186624], [[[2, 3], [3, 2], [6, 1], [12, 2], [15, 1]], 7/14929920], [[[2, 3], [3, 2], [6, 1], [12, 2], [20, 1]], 7/9953280], [[[2, 3], [3, 2], [6, 1], [12, 2], [24, 1]], 19/11943936], [[[2, 3], [3, 2], [6, 1], [12, 2], [30, 1]], 7/14929920], [[[2, 3], [3, 2], [6, 1], [15, 1], [20, 1]], 1/1036800], [[[2, 3], [3, 2], [6, 1], [15, 1], [24, 1]], 1/1244160], [[[2, 3], [3, 2], [6, 1], [15, 1], [30, 1]], 1/97200], [[[2, 3], [3, 2], [6, 1], [20, 1], [24, 1]], 1/829440], [[[2, 3], [3, 2], [6, 1], [20, 1], [30, 1]], 1/1036800], [[[2, 3], [3, 2], [6, 1], [24, 1], [30, 1]], 1/1244160], [[[2, 3], [3, 2], [6, 2], [8, 2], [14, 1]], 1/18579456], [[[2, 3], [3, 2], [6, 2], [8, 2], [18, 1]], 5/71663616], [[[2, 3], [3, 2], [6, 2], [10, 2], [14, 1]], 1/58060800], [[[2, 3], [3, 2], [6, 2], [10, 2], [18, 1]], 1/44789760], [[[2, 3], [3, 2], [6, 2], [12, 2], [14, 1]], 151/27869184], [[[2, 3], [3, 2], [6, 2], [12, 2], [18, 1]], 179/107495424], [[[2, 3], [3, 2], [6, 2], [14, 1], [15, 1]], 1/2903040], [[[2, 3], [3, 2], [6, 2], [14, 1], [20, 1]], 1/1935360], [[[2, 3], [3, 2], [6, 2], [14, 1], [24, 1]], 73/2322432], [[[2, 3], [3, 2], [6, 2], [14, 1], [30, 1]], 1/2903040], [[[2, 3], [3, 2], [6, 2], [15, 1], [18, 1]], 1/2239488], [[[2, 3], [3, 2], [6, 2], [18, 1], [20, 1]], 1/1492992], [[[2, 3], [3, 2], [6, 2], [18, 1], [24, 1]], 77/8957952], [[[2, 3], [3, 2], [6, 2], [18, 1], [30, 1]], 1/2239488], [[[2, 3], [3, 2], [6, 3], [8, 2], [10, 1]], 1/39813120], [[[2, 3], [3, 2], [6, 3], [8, 2], [12, 1]], 19/859963392], [[[2, 3], [3, 2], [6, 3], [10, 1], [12, 2]], 151/59719680], [[[2, 3], [3, 2], [6, 3], [10, 1], [15, 1]], 1/6220800], [[[2, 3], [3, 2], [6, 3], [10, 1], [20, 1]], 1/4147200], [[[2, 3], [3, 2], [6, 3], [10, 1], [24, 1]], 73/4976640], [[[2, 3], [3, 2], [6, 3], [10, 1], [30, 1]], 1/6220800], [[[2, 3], [3, 2], [6, 3], [10, 2], [12, 1]], 19/2687385600], [[[2, 3], [3, 2], [6, 3], [12, 1], [15, 1]], 19/134369280], [[[2, 3], [3, 2], [6, 3], [12, 1], [20, 1]], 19/89579520], [[[2, 3], [3, 2], [6, 3], [12, 1], [24, 1]], 667/107495424], [[[2, 3], [3, 2], [6, 3], [12, 1], [30, 1]], 19/134369280], [[[2, 3], [3, 2], [6, 3], [14, 1], [18, 1]], 1/5225472], [[[2, 3], [3, 2], [6, 4], [10, 1], [18, 1]], 1/11197440], [[[2, 3], [3, 2], [6, 4], [12, 1], [14, 1]], 13/358318080], [[[2, 3], [3, 2], [6, 4], [12, 1], [18, 1]], 851/9674588160], [[[2, 3], [3, 2], [6, 5], [10, 1], [12, 1]], 91/5374771200], [[[2, 3], [3, 2], [8, 2], [12, 1], [14, 1]], 1/3096576], [[[2, 3], [3, 2], [8, 2], [12, 1], [18, 1]], 1/11943936], [[[2, 3], [3, 2], [10, 2], [12, 1], [14, 1]], 1/9676800], [[[2, 3], [3, 2], [10, 2], [12, 1], [18, 1]], 1/37324800], [[[2, 3], [3, 2], [12, 1], [14, 1], [15, 1]], 1/483840], [[[2, 3], [3, 2], [12, 1], [14, 1], [20, 1]], 1/322560], [[[2, 3], [3, 2], [12, 1], [14, 1], [24, 1]], 1/387072], [[[2, 3], [3, 2], [12, 1], [14, 1], [30, 1]], 1/483840], [[[2, 3], [3, 2], [12, 1], [15, 1], [18, 1]], 1/1866240], [[[2, 3], [3, 2], [12, 1], [18, 1], [20, 1]], 1/1244160], [[[2, 3], [3, 2], [12, 1], [18, 1], [24, 1]], 1/1492992], [[[2, 3], [3, 2], [12, 1], [18, 1], [30, 1]], 1/1866240], [[[2, 3], [3, 3], [4, 2], [6, 3], [9, 1]], 1/107495424], [[[2, 3], [3, 3], [4, 4], [6, 1], [9, 1]], 1/4299816960], [[[2, 3], [3, 3], [5, 2], [6, 1], [9, 1]], 1/55987200], [[[2, 3], [3, 3], [6, 1], [8, 2], [9, 1]], 1/17915904], [[[2, 3], [3, 3], [6, 1], [9, 1], [10, 2]], 1/55987200], [[[2, 3], [3, 3], [6, 1], [9, 1], [12, 2]], 7/26873856], [[[2, 3], [3, 3], [6, 1], [9, 1], [15, 1]], 1/2799360], [[[2, 3], [3, 3], [6, 1], [9, 1], [20, 1]], 1/1866240], [[[2, 3], [3, 3], [6, 1], [9, 1], [24, 1]], 1/2239488], [[[2, 3], [3, 3], [6, 1], [9, 1], [30, 1]], 1/2799360], [[[2, 3], [3, 3], [6, 2], [9, 1], [14, 1]], 1/5225472], [[[2, 3], [3, 3], [6, 2], [9, 1], [18, 1]], 113/20155392], [[[2, 3], [3, 3], [6, 3], [9, 1], [10, 1]], 1/11197440], [[[2, 3], [3, 3], [6, 3], [9, 1], [12, 1]], 19/241864704], [[[2, 3], [3, 3], [9, 1], [12, 1], [14, 1]], 1/870912], [[[2, 3], [3, 3], [9, 1], [12, 1], [18, 1]], 1/3359232], [[[2, 3], [3, 4], [4, 1], [5, 2], [8, 1]], 1/23887872000], [[[2, 3], [3, 4], [4, 1], [6, 4], [8, 1]], 81811/6191736422400], [[[2, 3], [3, 4], [4, 1], [8, 1], [10, 2]], 1/23887872000], [[[2, 3], [3, 4], [4, 1], [8, 1], [12, 2]], 271/11466178560], [[[2, 3], [3, 4], [4, 1], [8, 1], [15, 1]], 1/1194393600], [[[2, 3], [3, 4], [4, 1], [8, 1], [20, 1]], 1/796262400], [[[2, 3], [3, 4], [4, 1], [8, 1], [24, 1]], 1/955514880], [[[2, 3], [3, 4], [4, 1], [8, 1], [30, 1]], 1/1194393600], [[[2, 3], [3, 4], [4, 2], [5, 2], [6, 1]], 1/107495424000], [[[2, 3], [3, 4], [4, 2], [6, 1], [8, 2]], 1/34398535680], [[[2, 3], [3, 4], [4, 2], [6, 1], [10, 2]], 1/107495424000], [[[2, 3], [3, 4], [4, 2], [6, 1], [12, 2]], 1727/51597803520], [[[2, 3], [3, 4], [4, 2], [6, 1], [15, 1]], 1/5374771200], [[[2, 3], [3, 4], [4, 2], [6, 1], [20, 1]], 1/3583180800], [[[2, 3], [3, 4], [4, 2], [6, 1], [24, 1]], 1/4299816960], [[[2, 3], [3, 4], [4, 2], [6, 1], [30, 1]], 1/5374771200], [[[2, 3], [3, 4], [4, 2], [6, 2], [18, 1]], 1/9674588160], [[[2, 3], [3, 4], [4, 2], [6, 3], [12, 1]], 95101/278628139008], [[[2, 3], [3, 4], [4, 2], [12, 1], [14, 1]], 1/627056640], [[[2, 3], [3, 4], [4, 2], [12, 1], [18, 1]], 1/2418647040], [[[2, 3], [3, 4], [4, 3], [8, 1], [12, 1]], 1/2866544640], [[[2, 3], [3, 4], [4, 4], [6, 1], [10, 1]], 1/859963392000], [[[2, 3], [3, 4], [4, 4], [6, 1], [12, 1]], 251/2063912140800], [[[2, 3], [3, 4], [5, 2], [6, 1], [10, 1]], 1/11197440000], [[[2, 3], [3, 4], [5, 2], [6, 1], [12, 1]], 91/26873856000], [[[2, 3], [3, 4], [6, 1], [8, 2], [10, 1]], 1/3583180800], [[[2, 3], [3, 4], [6, 1], [8, 2], [12, 1]], 91/8599633920], [[[2, 3], [3, 4], [6, 1], [10, 1], [12, 2]], 271/5374771200], [[[2, 3], [3, 4], [6, 1], [10, 1], [15, 1]], 1/559872000], [[[2, 3], [3, 4], [6, 1], [10, 1], [20, 1]], 1/373248000], [[[2, 3], [3, 4], [6, 1], [10, 1], [24, 1]], 1/447897600], [[[2, 3], [3, 4], [6, 1], [10, 1], [30, 1]], 1/559872000], [[[2, 3], [3, 4], [6, 1], [10, 2], [12, 1]], 91/26873856000], [[[2, 3], [3, 4], [6, 1], [12, 1], [15, 1]], 91/1343692800], [[[2, 3], [3, 4], [6, 1], [12, 1], [20, 1]], 91/895795200], [[[2, 3], [3, 4], [6, 1], [12, 1], [24, 1]], 91/1074954240], [[[2, 3], [3, 4], [6, 1], [12, 1], [30, 1]], 91/1343692800], [[[2, 3], [3, 4], [6, 1], [14, 1], [18, 1]], 1/470292480], [[[2, 3], [3, 4], [6, 2], [10, 1], [18, 1]], 1/1007769600], [[[2, 3], [3, 4], [6, 2], [12, 1], [14, 1]], 13/358318080], [[[2, 3], [3, 4], [6, 2], [12, 1], [18, 1]], 91/1934917632], [[[2, 3], [3, 4], [6, 3], [10, 1], [12, 1]], 91/5374771200], [[[2, 3], [3, 5], [4, 1], [8, 1], [9, 1]], 1/2149908480], [[[2, 3], [3, 5], [4, 2], [6, 1], [9, 1]], 1/9674588160], [[[2, 3], [3, 5], [6, 1], [9, 1], [10, 1]], 1/1007769600], [[[2, 3], [3, 5], [6, 1], [9, 1], [12, 1]], 91/2418647040], [[[2, 3], [3, 6], [4, 1], [6, 2], [8, 1]], 1/68797071360], [[[2, 3], [3, 6], [4, 1], [8, 1], [12, 1]], 1/11466178560], [[[2, 3], [3, 6], [4, 2], [6, 1], [12, 1]], 11/154793410560], [[[2, 3], [3, 6], [6, 1], [10, 1], [12, 1]], 1/5374771200], [[[2, 3], [4, 1], [5, 2], [6, 4], [8, 1]], 1/23887872000], [[[2, 3], [4, 1], [5, 2], [8, 1], [10, 2]], 301/92160000], [[[2, 3], [4, 1], [5, 2], [8, 1], [12, 2]], 1/44236800], [[[2, 3], [4, 1], [5, 2], [8, 1], [15, 1]], 1/4608000], [[[2, 3], [4, 1], [5, 2], [8, 1], [20, 1]], 1/3072000], [[[2, 3], [4, 1], [5, 2], [8, 1], [24, 1]], 1/3686400], [[[2, 3], [4, 1], [5, 2], [8, 1], [30, 1]], 1/4608000], [[[2, 3], [4, 1], [6, 1], [8, 3], [18, 1]], 1/2654208], [[[2, 3], [4, 1], [6, 2], [8, 1], [12, 3]], 1/21233664], [[[2, 3], [4, 1], [6, 2], [8, 1], [18, 2]], 1/1492992], [[[2, 3], [4, 1], [6, 2], [8, 3], [12, 1]], 1/14155776], [[[2, 3], [4, 1], [6, 4], [8, 1], [10, 2]], 1/23887872000], [[[2, 3], [4, 1], [6, 4], [8, 1], [12, 2]], 271/11466178560], [[[2, 3], [4, 1], [6, 4], [8, 1], [15, 1]], 1/1194393600], [[[2, 3], [4, 1], [6, 4], [8, 1], [20, 1]], 1/796262400], [[[2, 3], [4, 1], [6, 4], [8, 1], [24, 1]], 1/955514880], [[[2, 3], [4, 1], [6, 4], [8, 1], [30, 1]], 1/1194393600], [[[2, 3], [4, 1], [6, 5], [8, 1], [18, 1]], 1/2149908480], [[[2, 3], [4, 1], [6, 6], [8, 1], [12, 1]], 1/11466178560], [[[2, 3], [4, 1], [8, 1], [10, 2], [12, 2]], 1/44236800], [[[2, 3], [4, 1], [8, 1], [10, 2], [15, 1]], 1/4608000], [[[2, 3], [4, 1], [8, 1], [10, 2], [20, 1]], 1/3072000], [[[2, 3], [4, 1], [8, 1], [10, 2], [24, 1]], 1/3686400], [[[2, 3], [4, 1], [8, 1], [10, 2], [30, 1]], 1/4608000], [[[2, 3], [4, 1], [8, 1], [12, 1], [36, 1]], 1/27648], [[[2, 3], [4, 1], [8, 1], [12, 2], [15, 1]], 1/2211840], [[[2, 3], [4, 1], [8, 1], [12, 2], [20, 1]], 1/1474560], [[[2, 3], [4, 1], [8, 1], [12, 2], [24, 1]], 13/1769472], [[[2, 3], [4, 1], [8, 1], [12, 2], [30, 1]], 1/2211840], [[[2, 3], [4, 1], [8, 1], [15, 1], [20, 1]], 1/153600], [[[2, 3], [4, 1], [8, 1], [15, 1], [24, 1]], 1/184320], [[[2, 3], [4, 1], [8, 1], [15, 1], [30, 1]], 1/14400], [[[2, 3], [4, 1], [8, 1], [20, 1], [24, 1]], 1/122880], [[[2, 3], [4, 1], [8, 1], [20, 1], [30, 1]], 1/153600], [[[2, 3], [4, 1], [8, 1], [24, 1], [30, 1]], 1/184320], [[[2, 3], [4, 2], [5, 2], [6, 1], [8, 2]], 1/132710400], [[[2, 3], [4, 2], [5, 2], [6, 1], [10, 2]], 301/414720000], [[[2, 3], [4, 2], [5, 2], [6, 1], [12, 2]], 17/199065600], [[[2, 3], [4, 2], [5, 2], [6, 1], [15, 1]], 1/20736000], [[[2, 3], [4, 2], [5, 2], [6, 1], [20, 1]], 1/13824000], [[[2, 3], [4, 2], [5, 2], [6, 1], [24, 1]], 1/16588800], [[[2, 3], [4, 2], [5, 2], [6, 1], [30, 1]], 1/20736000], [[[2, 3], [4, 2], [5, 2], [6, 2], [18, 1]], 1/37324800], [[[2, 3], [4, 2], [5, 2], [6, 3], [12, 1]], 7/1074954240], [[[2, 3], [4, 2], [5, 2], [12, 1], [14, 1]], 1/2419200], [[[2, 3], [4, 2], [5, 2], [12, 1], [18, 1]], 1/9331200], [[[2, 3], [4, 2], [6, 1], [8, 2], [10, 2]], 1/132710400], [[[2, 3], [4, 2], [6, 1], [8, 2], [12, 2]], 209/63700992], [[[2, 3], [4, 2], [6, 1], [8, 2], [15, 1]], 1/6635520], [[[2, 3], [4, 2], [6, 1], [8, 2], [20, 1]], 1/4423680], [[[2, 3], [4, 2], [6, 1], [8, 2], [24, 1]], 11/1769472], [[[2, 3], [4, 2], [6, 1], [8, 2], [30, 1]], 1/6635520], [[[2, 3], [4, 2], [6, 1], [10, 1], [12, 3]], 7/7464960], [[[2, 3], [4, 2], [6, 1], [10, 1], [28, 1]], 1/6720], [[[2, 3], [4, 2], [6, 1], [10, 1], [36, 1]], 1/25920], [[[2, 3], [4, 2], [6, 1], [10, 2], [12, 2]], 17/199065600], [[[2, 3], [4, 2], [6, 1], [10, 2], [15, 1]], 1/20736000], [[[2, 3], [4, 2], [6, 1], [10, 2], [20, 1]], 1/13824000], [[[2, 3], [4, 2], [6, 1], [10, 2], [24, 1]], 1/16588800], [[[2, 3], [4, 2], [6, 1], [10, 2], [30, 1]], 1/20736000], [[[2, 3], [4, 2], [6, 1], [10, 3], [12, 1]], 1/5184000], [[[2, 3], [4, 2], [6, 1], [12, 1], [18, 2]], 1/839808], [[[2, 3], [4, 2], [6, 1], [12, 1], [28, 1]], 1/16128], [[[2, 3], [4, 2], [6, 1], [12, 1], [36, 1]], 1/41472], [[[2, 3], [4, 2], [6, 1], [12, 2], [15, 1]], 17/9953280], [[[2, 3], [4, 2], [6, 1], [12, 2], [20, 1]], 209/6635520], [[[2, 3], [4, 2], [6, 1], [12, 2], [24, 1]], 125/7962624], [[[2, 3], [4, 2], [6, 1], [12, 2], [30, 1]], 17/9953280], [[[2, 3], [4, 2], [6, 1], [15, 1], [20, 1]], 1/691200], [[[2, 3], [4, 2], [6, 1], [15, 1], [24, 1]], 1/829440], [[[2, 3], [4, 2], [6, 1], [15, 1], [30, 1]], 1/64800], [[[2, 3], [4, 2], [6, 1], [20, 1], [24, 1]], 1/552960], [[[2, 3], [4, 2], [6, 1], [20, 1], [30, 1]], 1/691200], [[[2, 3], [4, 2], [6, 1], [24, 1], [30, 1]], 1/829440], [[[2, 3], [4, 2], [6, 2], [8, 2], [18, 1]], 1/11943936], [[[2, 3], [4, 2], [6, 2], [10, 2], [18, 1]], 1/37324800], [[[2, 3], [4, 2], [6, 2], [12, 2], [14, 1]], 1/1161216], [[[2, 3], [4, 2], [6, 2], [12, 2], [18, 1]], 1735/5971968], [[[2, 3], [4, 2], [6, 2], [15, 1], [18, 1]], 1/1866240], [[[2, 3], [4, 2], [6, 2], [18, 1], [20, 1]], 1/1244160], [[[2, 3], [4, 2], [6, 2], [18, 1], [24, 1]], 1/1492992], [[[2, 3], [4, 2], [6, 2], [18, 1], [30, 1]], 1/1866240], [[[2, 3], [4, 2], [6, 3], [8, 1], [16, 1]], 1/3981312], [[[2, 3], [4, 2], [6, 3], [8, 2], [12, 1]], 131/1719926784], [[[2, 3], [4, 2], [6, 3], [10, 1], [12, 2]], 1/2488320], [[[2, 3], [4, 2], [6, 3], [10, 2], [12, 1]], 7/1074954240], [[[2, 3], [4, 2], [6, 3], [12, 1], [15, 1]], 7/53747712], [[[2, 3], [4, 2], [6, 3], [12, 1], [20, 1]], 131/179159040], [[[2, 3], [4, 2], [6, 3], [12, 1], [24, 1]], 83/214990848], [[[2, 3], [4, 2], [6, 3], [12, 1], [30, 1]], 7/53747712], [[[2, 3], [4, 2], [6, 4], [12, 1], [14, 1]], 1/627056640], [[[2, 3], [4, 2], [6, 4], [12, 1], [18, 1]], 11/151165440], [[[2, 3], [4, 2], [6, 5], [10, 1], [12, 1]], 1/1343692800], [[[2, 3], [4, 2], [8, 1], [14, 1], [16, 1]], 1/14336], [[[2, 3], [4, 2], [8, 1], [16, 1], [18, 1]], 1/55296], [[[2, 3], [4, 2], [8, 2], [12, 1], [14, 1]], 13/774144], [[[2, 3], [4, 2], [8, 2], [12, 1], [18, 1]], 13/2985984], [[[2, 3], [4, 2], [10, 2], [12, 1], [14, 1]], 1/2419200], [[[2, 3], [4, 2], [10, 2], [12, 1], [18, 1]], 1/9331200], [[[2, 3], [4, 2], [12, 1], [14, 1], [15, 1]], 1/120960], [[[2, 3], [4, 2], [12, 1], [14, 1], [20, 1]], 13/80640], [[[2, 3], [4, 2], [12, 1], [14, 1], [24, 1]], 1/13824], [[[2, 3], [4, 2], [12, 1], [14, 1], [30, 1]], 1/120960], [[[2, 3], [4, 2], [12, 1], [15, 1], [18, 1]], 1/466560], [[[2, 3], [4, 2], [12, 1], [18, 1], [20, 1]], 13/311040], [[[2, 3], [4, 2], [12, 1], [18, 1], [24, 1]], 7/373248], [[[2, 3], [4, 2], [12, 1], [18, 1], [30, 1]], 1/466560], [[[2, 3], [4, 3], [5, 2], [8, 1], [12, 1]], 1/11059200], [[[2, 3], [4, 3], [6, 2], [8, 1], [12, 2]], 1/5308416], [[[2, 3], [4, 3], [6, 4], [8, 1], [12, 1]], 1/2866544640], [[[2, 3], [4, 3], [8, 1], [10, 2], [12, 1]], 1/11059200], [[[2, 3], [4, 3], [8, 1], [12, 1], [15, 1]], 1/552960], [[[2, 3], [4, 3], [8, 1], [12, 1], [20, 1]], 13/368640], [[[2, 3], [4, 3], [8, 1], [12, 1], [24, 1]], 7/442368], [[[2, 3], [4, 3], [8, 1], [12, 1], [30, 1]], 1/552960], [[[2, 3], [4, 4], [5, 2], [6, 1], [10, 1]], 1/3317760000], [[[2, 3], [4, 4], [5, 2], [6, 1], [12, 1]], 161/7962624000], [[[2, 3], [4, 4], [6, 1], [8, 1], [16, 1]], 1/294912], [[[2, 3], [4, 4], [6, 1], [8, 2], [10, 1]], 241/1061683200], [[[2, 3], [4, 4], [6, 1], [8, 2], [12, 1]], 2321/2548039680], [[[2, 3], [4, 4], [6, 1], [10, 1], [12, 2]], 3841/1592524800], [[[2, 3], [4, 4], [6, 1], [10, 1], [15, 1]], 1/165888000], [[[2, 3], [4, 4], [6, 1], [10, 1], [20, 1]], 77/22118400], [[[2, 3], [4, 4], [6, 1], [10, 1], [24, 1]], 1/132710400], [[[2, 3], [4, 4], [6, 1], [10, 1], [30, 1]], 1/165888000], [[[2, 3], [4, 4], [6, 1], [10, 2], [12, 1]], 161/7962624000], [[[2, 3], [4, 4], [6, 1], [12, 1], [15, 1]], 161/398131200], [[[2, 3], [4, 4], [6, 1], [12, 1], [20, 1]], 493/53084160], [[[2, 3], [4, 4], [6, 1], [12, 1], [24, 1]], 1121/318504960], [[[2, 3], [4, 4], [6, 1], [12, 1], [30, 1]], 161/398131200], [[[2, 3], [4, 4], [6, 1], [14, 1], [18, 1]], 1/139345920], [[[2, 3], [4, 4], [6, 2], [10, 1], [18, 1]], 1/298598400], [[[2, 3], [4, 4], [6, 2], [12, 1], [14, 1]], 1/743178240], [[[2, 3], [4, 4], [6, 2], [12, 1], [18, 1]], 43/191102976], [[[2, 3], [4, 4], [6, 3], [10, 1], [12, 1]], 1/1592524800], [[[2, 3], [4, 5], [6, 1], [8, 1], [18, 1]], 1/637009920], [[[2, 3], [4, 5], [6, 2], [8, 1], [12, 1]], 1/3397386240], [[[2, 3], [4, 6], [6, 1], [10, 1], [12, 1]], 19/1194393600], [[[2, 3], [5, 2], [6, 1], [8, 2], [10, 1]], 1/13824000], [[[2, 3], [5, 2], [6, 1], [8, 2], [12, 1]], 1/33177600], [[[2, 3], [5, 2], [6, 1], [10, 1], [12, 2]], 1/20736000], [[[2, 3], [5, 2], [6, 1], [10, 1], [15, 1]], 1/2160000], [[[2, 3], [5, 2], [6, 1], [10, 1], [20, 1]], 1/1440000], [[[2, 3], [5, 2], [6, 1], [10, 1], [24, 1]], 1/1728000], [[[2, 3], [5, 2], [6, 1], [10, 1], [30, 1]], 1/2160000], [[[2, 3], [5, 2], [6, 1], [10, 2], [12, 1]], 301/103680000], [[[2, 3], [5, 2], [6, 1], [12, 1], [15, 1]], 1/5184000], [[[2, 3], [5, 2], [6, 1], [12, 1], [20, 1]], 1/3456000], [[[2, 3], [5, 2], [6, 1], [12, 1], [24, 1]], 1/4147200], [[[2, 3], [5, 2], [6, 1], [12, 1], [30, 1]], 1/5184000], [[[2, 3], [5, 2], [6, 1], [14, 1], [18, 1]], 1/1814400], [[[2, 3], [5, 2], [6, 2], [10, 1], [18, 1]], 1/3888000], [[[2, 3], [5, 2], [6, 2], [12, 1], [14, 1]], 1/9676800], [[[2, 3], [5, 2], [6, 2], [12, 1], [18, 1]], 1/7464960], [[[2, 3], [5, 2], [6, 3], [10, 1], [12, 1]], 1/20736000], [[[2, 3], [6, 1], [8, 2], [10, 1], [12, 2]], 1/6635520], [[[2, 3], [6, 1], [8, 2], [10, 1], [15, 1]], 1/691200], [[[2, 3], [6, 1], [8, 2], [10, 1], [20, 1]], 1/460800], [[[2, 3], [6, 1], [8, 2], [10, 1], [24, 1]], 11/184320], [[[2, 3], [6, 1], [8, 2], [10, 1], [30, 1]], 1/691200], [[[2, 3], [6, 1], [8, 2], [10, 2], [12, 1]], 1/33177600], [[[2, 3], [6, 1], [8, 2], [12, 1], [15, 1]], 1/1658880], [[[2, 3], [6, 1], [8, 2], [12, 1], [20, 1]], 1/1105920], [[[2, 3], [6, 1], [8, 2], [12, 1], [24, 1]], 11/442368], [[[2, 3], [6, 1], [8, 2], [12, 1], [30, 1]], 1/1658880], [[[2, 3], [6, 1], [8, 2], [14, 1], [18, 1]], 1/580608], [[[2, 3], [6, 1], [10, 1], [12, 1], [36, 1]], 1/12960], [[[2, 3], [6, 1], [10, 1], [12, 2], [15, 1]], 1/1036800], [[[2, 3], [6, 1], [10, 1], [12, 2], [20, 1]], 1/691200], [[[2, 3], [6, 1], [10, 1], [12, 2], [24, 1]], 13/829440], [[[2, 3], [6, 1], [10, 1], [12, 2], [30, 1]], 1/1036800], [[[2, 3], [6, 1], [10, 1], [15, 1], [20, 1]], 1/72000], [[[2, 3], [6, 1], [10, 1], [15, 1], [24, 1]], 1/86400], [[[2, 3], [6, 1], [10, 1], [15, 1], [30, 1]], 1/6750], [[[2, 3], [6, 1], [10, 1], [20, 1], [24, 1]], 1/57600], [[[2, 3], [6, 1], [10, 1], [20, 1], [30, 1]], 1/72000], [[[2, 3], [6, 1], [10, 1], [24, 1], [30, 1]], 1/86400], [[[2, 3], [6, 1], [10, 2], [12, 1], [15, 1]], 1/5184000], [[[2, 3], [6, 1], [10, 2], [12, 1], [20, 1]], 1/3456000], [[[2, 3], [6, 1], [10, 2], [12, 1], [24, 1]], 1/4147200], [[[2, 3], [6, 1], [10, 2], [12, 1], [30, 1]], 1/5184000], [[[2, 3], [6, 1], [10, 2], [14, 1], [18, 1]], 1/1814400], [[[2, 3], [6, 1], [12, 1], [15, 1], [20, 1]], 1/172800], [[[2, 3], [6, 1], [12, 1], [15, 1], [24, 1]], 1/207360], [[[2, 3], [6, 1], [12, 1], [15, 1], [30, 1]], 1/16200], [[[2, 3], [6, 1], [12, 1], [20, 1], [24, 1]], 1/138240], [[[2, 3], [6, 1], [12, 1], [20, 1], [30, 1]], 1/172800], [[[2, 3], [6, 1], [12, 1], [24, 1], [30, 1]], 1/207360], [[[2, 3], [6, 1], [12, 2], [14, 1], [18, 1]], 1/870912], [[[2, 3], [6, 1], [14, 1], [15, 1], [18, 1]], 1/90720], [[[2, 3], [6, 1], [14, 1], [18, 1], [20, 1]], 1/60480], [[[2, 3], [6, 1], [14, 1], [18, 1], [24, 1]], 1/72576], [[[2, 3], [6, 1], [14, 1], [18, 1], [30, 1]], 1/90720], [[[2, 3], [6, 2], [8, 2], [10, 1], [18, 1]], 1/1244160], [[[2, 3], [6, 2], [8, 2], [12, 1], [14, 1]], 1/3096576], [[[2, 3], [6, 2], [8, 2], [12, 1], [18, 1]], 5/11943936], [[[2, 3], [6, 2], [10, 1], [12, 2], [18, 1]], 1/1866240], [[[2, 3], [6, 2], [10, 1], [15, 1], [18, 1]], 1/194400], [[[2, 3], [6, 2], [10, 1], [18, 1], [20, 1]], 1/129600], [[[2, 3], [6, 2], [10, 1], [18, 1], [24, 1]], 1/155520], [[[2, 3], [6, 2], [10, 1], [18, 1], [30, 1]], 541/194400], [[[2, 3], [6, 2], [10, 2], [12, 1], [14, 1]], 1/9676800], [[[2, 3], [6, 2], [10, 2], [12, 1], [18, 1]], 1/7464960], [[[2, 3], [6, 2], [12, 1], [14, 1], [15, 1]], 1/483840], [[[2, 3], [6, 2], [12, 1], [14, 1], [20, 1]], 1/322560], [[[2, 3], [6, 2], [12, 1], [14, 1], [24, 1]], 1/387072], [[[2, 3], [6, 2], [12, 1], [14, 1], [30, 1]], 1/483840], [[[2, 3], [6, 2], [12, 1], [15, 1], [18, 1]], 1/373248], [[[2, 3], [6, 2], [12, 1], [18, 1], [20, 1]], 1/248832], [[[2, 3], [6, 2], [12, 1], [18, 1], [24, 1]], 5/1492992], [[[2, 3], [6, 2], [12, 1], [18, 1], [30, 1]], 1/373248], [[[2, 3], [6, 3], [8, 2], [10, 1], [12, 1]], 1/6635520], [[[2, 3], [6, 3], [10, 1], [12, 1], [15, 1]], 1/1036800], [[[2, 3], [6, 3], [10, 1], [12, 1], [20, 1]], 1/691200], [[[2, 3], [6, 3], [10, 1], [12, 1], [24, 1]], 1/829440], [[[2, 3], [6, 3], [10, 1], [12, 1], [30, 1]], 1/1036800], [[[2, 3], [6, 3], [12, 1], [14, 1], [18, 1]], 1/870912], [[[2, 3], [6, 4], [10, 1], [12, 1], [18, 1]], 1/1866240], [[[2, 5], [3, 1], [4, 2], [5, 2], [9, 1]], 1/1194393600], [[[2, 5], [3, 1], [4, 2], [6, 4], [9, 1]], 641/309586821120], [[[2, 5], [3, 1], [4, 2], [8, 2], [9, 1]], 109/382205952], [[[2, 5], [3, 1], [4, 2], [9, 1], [10, 2]], 1/1194393600], [[[2, 5], [3, 1], [4, 2], [9, 1], [12, 2]], 1/573308928], [[[2, 5], [3, 1], [4, 2], [9, 1], [15, 1]], 1/59719680], [[[2, 5], [3, 1], [4, 2], [9, 1], [20, 1]], 1/39813120], [[[2, 5], [3, 1], [4, 2], [9, 1], [24, 1]], 1/47775744], [[[2, 5], [3, 1], [4, 2], [9, 1], [30, 1]], 1/59719680], [[[2, 5], [3, 1], [4, 4], [6, 2], [9, 1]], 181/12899450880], [[[2, 5], [3, 1], [4, 4], [9, 1], [10, 1]], 1/5971968000], [[[2, 5], [3, 1], [4, 4], [9, 1], [12, 1]], 1/143327232], [[[2, 5], [3, 1], [5, 2], [6, 2], [9, 1]], 1/167961600], [[[2, 5], [3, 1], [5, 2], [9, 1], [10, 1]], 1/77760000], [[[2, 5], [3, 1], [6, 2], [8, 2], [9, 1]], 1/53747712], [[[2, 5], [3, 1], [6, 2], [9, 1], [10, 2]], 217/167961600], [[[2, 5], [3, 1], [6, 2], [9, 1], [12, 2]], 19/80621568], [[[2, 5], [3, 1], [6, 2], [9, 1], [15, 1]], 1/8398080], [[[2, 5], [3, 1], [6, 2], [9, 1], [20, 1]], 1/5598720], [[[2, 5], [3, 1], [6, 2], [9, 1], [24, 1]], 1/6718464], [[[2, 5], [3, 1], [6, 2], [9, 1], [30, 1]], 1/8398080], [[[2, 5], [3, 1], [6, 3], [9, 1], [14, 1]], 1/23514624], [[[2, 5], [3, 1], [6, 3], [9, 1], [18, 1]], 169/90699264], [[[2, 5], [3, 1], [6, 4], [9, 1], [10, 1]], 401/20155392000], [[[2, 5], [3, 1], [6, 4], [9, 1], [12, 1]], 5/241864704], [[[2, 5], [3, 1], [8, 2], [9, 1], [10, 1]], 1/24883200], [[[2, 5], [3, 1], [9, 1], [10, 1], [12, 2]], 1/37324800], [[[2, 5], [3, 1], [9, 1], [10, 1], [15, 1]], 1/3888000], [[[2, 5], [3, 1], [9, 1], [10, 1], [20, 1]], 1/2592000], [[[2, 5], [3, 1], [9, 1], [10, 1], [24, 1]], 1/3110400], [[[2, 5], [3, 1], [9, 1], [10, 1], [30, 1]], 1/3888000], [[[2, 5], [3, 1], [9, 1], [14, 1], [18, 1]], 1/326592], [[[2, 5], [3, 2], [4, 1], [6, 1], [8, 3]], 1/42467328], [[[2, 5], [3, 2], [4, 1], [6, 5], [8, 1]], 11/34398535680], [[[2, 5], [3, 2], [4, 2], [5, 2], [6, 2]], 13/7644119040], [[[2, 5], [3, 2], [4, 2], [5, 2], [12, 1]], 1/6370099200], [[[2, 5], [3, 2], [4, 2], [6, 2], [8, 2]], 173/12230590464], [[[2, 5], [3, 2], [4, 2], [6, 2], [10, 2]], 13/7644119040], [[[2, 5], [3, 2], [4, 2], [6, 2], [12, 2]], 5381/55037657088], [[[2, 5], [3, 2], [4, 2], [6, 2], [15, 1]], 13/382205952], [[[2, 5], [3, 2], [4, 2], [6, 2], [20, 1]], 13/254803968], [[[2, 5], [3, 2], [4, 2], [6, 2], [24, 1]], 137/1528823808], [[[2, 5], [3, 2], [4, 2], [6, 2], [30, 1]], 13/382205952], [[[2, 5], [3, 2], [4, 2], [6, 3], [14, 1]], 1/55738368], [[[2, 5], [3, 2], [4, 2], [6, 3], [18, 1]], 1/42467328], [[[2, 5], [3, 2], [4, 2], [6, 4], [10, 1]], 1/119439360], [[[2, 5], [3, 2], [4, 2], [6, 4], [12, 1]], 602513/4953389137920], [[[2, 5], [3, 2], [4, 2], [8, 2], [12, 1]], 109/2038431744], [[[2, 5], [3, 2], [4, 2], [10, 1], [12, 2]], 1/49766400], [[[2, 5], [3, 2], [4, 2], [10, 2], [12, 1]], 1/6370099200], [[[2, 5], [3, 2], [4, 2], [12, 1], [15, 1]], 1/318504960], [[[2, 5], [3, 2], [4, 2], [12, 1], [20, 1]], 1/212336640], [[[2, 5], [3, 2], [4, 2], [12, 1], [24, 1]], 1/254803968], [[[2, 5], [3, 2], [4, 2], [12, 1], [30, 1]], 1/318504960], [[[2, 5], [3, 2], [4, 3], [6, 3], [8, 1]], 1/254803968], [[[2, 5], [3, 2], [4, 4], [6, 1], [14, 1]], 1/2229534720], [[[2, 5], [3, 2], [4, 4], [6, 1], [18, 1]], 1/8599633920], [[[2, 5], [3, 2], [4, 4], [6, 2], [10, 1]], 41/191102976000], [[[2, 5], [3, 2], [4, 4], [6, 2], [12, 1]], 1121/34398535680], [[[2, 5], [3, 2], [4, 4], [10, 1], [12, 1]], 1/31850496000], [[[2, 5], [3, 2], [4, 5], [6, 1], [8, 1]], 1/10192158720], [[[2, 5], [3, 2], [5, 2], [6, 1], [14, 1]], 1/29030400], [[[2, 5], [3, 2], [5, 2], [6, 1], [18, 1]], 1/111974400], [[[2, 5], [3, 2], [5, 2], [6, 2], [10, 1]], 41/2488320000], [[[2, 5], [3, 2], [5, 2], [6, 2], [12, 1]], 7/895795200], [[[2, 5], [3, 2], [5, 2], [10, 1], [12, 1]], 1/414720000], [[[2, 5], [3, 2], [6, 1], [8, 2], [14, 1]], 1/9289728], [[[2, 5], [3, 2], [6, 1], [8, 2], [18, 1]], 1/35831808], [[[2, 5], [3, 2], [6, 1], [10, 2], [14, 1]], 1/29030400], [[[2, 5], [3, 2], [6, 1], [10, 2], [18, 1]], 1/111974400], [[[2, 5], [3, 2], [6, 1], [12, 2], [14, 1]], 1/1990656], [[[2, 5], [3, 2], [6, 1], [12, 2], [18, 1]], 7/53747712], [[[2, 5], [3, 2], [6, 1], [14, 1], [15, 1]], 1/1451520], [[[2, 5], [3, 2], [6, 1], [14, 1], [20, 1]], 1/967680], [[[2, 5], [3, 2], [6, 1], [14, 1], [24, 1]], 1/1161216], [[[2, 5], [3, 2], [6, 1], [14, 1], [30, 1]], 1/1451520], [[[2, 5], [3, 2], [6, 1], [15, 1], [18, 1]], 1/5598720], [[[2, 5], [3, 2], [6, 1], [18, 1], [20, 1]], 1/3732480], [[[2, 5], [3, 2], [6, 1], [18, 1], [24, 1]], 1/4478976], [[[2, 5], [3, 2], [6, 1], [18, 1], [30, 1]], 1/5598720], [[[2, 5], [3, 2], [6, 2], [8, 2], [10, 1]], 41/796262400], [[[2, 5], [3, 2], [6, 2], [8, 2], [12, 1]], 7/286654464], [[[2, 5], [3, 2], [6, 2], [10, 1], [12, 2]], 431/1194393600], [[[2, 5], [3, 2], [6, 2], [10, 1], [15, 1]], 41/124416000], [[[2, 5], [3, 2], [6, 2], [10, 1], [20, 1]], 41/82944000], [[[2, 5], [3, 2], [6, 2], [10, 1], [24, 1]], 113/99532800], [[[2, 5], [3, 2], [6, 2], [10, 1], [30, 1]], 41/124416000], [[[2, 5], [3, 2], [6, 2], [10, 2], [12, 1]], 223/895795200], [[[2, 5], [3, 2], [6, 2], [12, 1], [15, 1]], 7/44789760], [[[2, 5], [3, 2], [6, 2], [12, 1], [20, 1]], 7/29859840], [[[2, 5], [3, 2], [6, 2], [12, 1], [24, 1]], 7/35831808], [[[2, 5], [3, 2], [6, 2], [12, 1], [30, 1]], 7/44789760], [[[2, 5], [3, 2], [6, 2], [14, 1], [18, 1]], 5/10450944], [[[2, 5], [3, 2], [6, 3], [10, 1], [14, 1]], 1/5806080], [[[2, 5], [3, 2], [6, 3], [10, 1], [18, 1]], 17/74649600], [[[2, 5], [3, 2], [6, 3], [12, 1], [14, 1]], 19/125411328], [[[2, 5], [3, 2], [6, 3], [12, 1], [18, 1]], 61/483729408], [[[2, 5], [3, 2], [6, 4], [10, 1], [12, 1]], 7691/107495424000], [[[2, 5], [3, 2], [8, 2], [10, 1], [12, 1]], 1/132710400], [[[2, 5], [3, 2], [10, 1], [12, 1], [15, 1]], 1/20736000], [[[2, 5], [3, 2], [10, 1], [12, 1], [20, 1]], 1/13824000], [[[2, 5], [3, 2], [10, 1], [12, 1], [24, 1]], 1/16588800], [[[2, 5], [3, 2], [10, 1], [12, 1], [30, 1]], 1/20736000], [[[2, 5], [3, 2], [12, 1], [14, 1], [18, 1]], 1/1741824], [[[2, 5], [3, 3], [4, 2], [6, 2], [9, 1]], 65/3439853568], [[[2, 5], [3, 3], [4, 2], [9, 1], [12, 1]], 1/573308928], [[[2, 5], [3, 3], [6, 1], [9, 1], [14, 1]], 1/2612736], [[[2, 5], [3, 3], [6, 1], [9, 1], [18, 1]], 1/10077696], [[[2, 5], [3, 3], [6, 2], [9, 1], [10, 1]], 41/223948800], [[[2, 5], [3, 3], [6, 2], [9, 1], [12, 1]], 7/80621568], [[[2, 5], [3, 3], [9, 1], [10, 1], [12, 1]], 1/37324800], [[[2, 5], [3, 4], [4, 1], [6, 3], [8, 1]], 811/309586821120], [[[2, 5], [3, 4], [4, 1], [8, 1], [14, 1]], 1/1114767360], [[[2, 5], [3, 4], [4, 1], [8, 1], [18, 1]], 1/4299816960], [[[2, 5], [3, 4], [4, 2], [6, 1], [14, 1]], 1/5016453120], [[[2, 5], [3, 4], [4, 2], [6, 1], [18, 1]], 17/309586821120], [[[2, 5], [3, 4], [4, 2], [6, 2], [10, 1]], 1/10749542400], [[[2, 5], [3, 4], [4, 2], [6, 2], [12, 1]], 122611/14860167413760], [[[2, 5], [3, 4], [4, 2], [10, 1], [12, 1]], 1/26873856000], [[[2, 5], [3, 4], [4, 3], [6, 1], [8, 1]], 1/22932357120], [[[2, 5], [3, 4], [6, 1], [10, 1], [14, 1]], 1/522547200], [[[2, 5], [3, 4], [6, 1], [10, 1], [18, 1]], 11/20155392000], [[[2, 5], [3, 4], [6, 1], [12, 1], [14, 1]], 13/179159040], [[[2, 5], [3, 4], [6, 1], [12, 1], [18, 1]], 91/4837294080], [[[2, 5], [3, 4], [6, 2], [10, 1], [12, 1]], 3731/107495424000], [[[2, 5], [3, 6], [4, 1], [6, 1], [8, 1]], 1/34398535680], [[[2, 5], [4, 1], [5, 2], [6, 3], [8, 1]], 1/1194393600], [[[2, 5], [4, 1], [5, 2], [8, 1], [14, 1]], 1/4300800], [[[2, 5], [4, 1], [5, 2], [8, 1], [18, 1]], 1/16588800], [[[2, 5], [4, 1], [6, 1], [8, 1], [10, 3]], 1/9216000], [[[2, 5], [4, 1], [6, 1], [8, 1], [12, 3]], 1/10616832], [[[2, 5], [4, 1], [6, 1], [8, 1], [18, 2]], 1/1492992], [[[2, 5], [4, 1], [6, 1], [8, 3], [10, 1]], 1/2949120], [[[2, 5], [4, 1], [6, 1], [8, 3], [12, 1]], 1/7077888], [[[2, 5], [4, 1], [6, 3], [8, 1], [10, 2]], 1/1194393600], [[[2, 5], [4, 1], [6, 3], [8, 1], [12, 2]], 55/573308928], [[[2, 5], [4, 1], [6, 3], [8, 1], [15, 1]], 1/59719680], [[[2, 5], [4, 1], [6, 3], [8, 1], [20, 1]], 1/39813120], [[[2, 5], [4, 1], [6, 3], [8, 1], [24, 1]], 1/47775744], [[[2, 5], [4, 1], [6, 3], [8, 1], [30, 1]], 1/59719680], [[[2, 5], [4, 1], [6, 4], [8, 1], [14, 1]], 1/1114767360], [[[2, 5], [4, 1], [6, 4], [8, 1], [18, 1]], 41/4299816960], [[[2, 5], [4, 1], [6, 5], [8, 1], [10, 1]], 1/2388787200], [[[2, 5], [4, 1], [6, 5], [8, 1], [12, 1]], 11/5733089280], [[[2, 5], [4, 1], [8, 1], [10, 2], [14, 1]], 1/4300800], [[[2, 5], [4, 1], [8, 1], [10, 2], [18, 1]], 1/16588800], [[[2, 5], [4, 1], [8, 1], [12, 2], [14, 1]], 1/2064384], [[[2, 5], [4, 1], [8, 1], [12, 2], [18, 1]], 1/7962624], [[[2, 5], [4, 1], [8, 1], [14, 1], [15, 1]], 1/215040], [[[2, 5], [4, 1], [8, 1], [14, 1], [20, 1]], 1/143360], [[[2, 5], [4, 1], [8, 1], [14, 1], [24, 1]], 1/172032], [[[2, 5], [4, 1], [8, 1], [14, 1], [30, 1]], 1/215040], [[[2, 5], [4, 1], [8, 1], [15, 1], [18, 1]], 1/829440], [[[2, 5], [4, 1], [8, 1], [18, 1], [20, 1]], 1/552960], [[[2, 5], [4, 1], [8, 1], [18, 1], [24, 1]], 1/663552], [[[2, 5], [4, 1], [8, 1], [18, 1], [30, 1]], 1/829440], [[[2, 5], [4, 2], [5, 2], [6, 1], [14, 1]], 1/19353600], [[[2, 5], [4, 2], [5, 2], [6, 1], [18, 1]], 17/1194393600], [[[2, 5], [4, 2], [5, 2], [6, 2], [10, 1]], 1/41472000], [[[2, 5], [4, 2], [5, 2], [6, 2], [12, 1]], 841/57330892800], [[[2, 5], [4, 2], [5, 2], [10, 1], [12, 1]], 1/103680000], [[[2, 5], [4, 2], [6, 1], [8, 2], [14, 1]], 1/6193152], [[[2, 5], [4, 2], [6, 1], [8, 2], [18, 1]], 125/382205952], [[[2, 5], [4, 2], [6, 1], [10, 2], [14, 1]], 1/19353600], [[[2, 5], [4, 2], [6, 1], [10, 2], [18, 1]], 17/1194393600], [[[2, 5], [4, 2], [6, 1], [12, 2], [14, 1]], 17/9289728], [[[2, 5], [4, 2], [6, 1], [12, 2], [18, 1]], 91/191102976], [[[2, 5], [4, 2], [6, 1], [14, 1], [15, 1]], 1/967680], [[[2, 5], [4, 2], [6, 1], [14, 1], [20, 1]], 1/645120], [[[2, 5], [4, 2], [6, 1], [14, 1], [24, 1]], 1/774144], [[[2, 5], [4, 2], [6, 1], [14, 1], [30, 1]], 1/967680], [[[2, 5], [4, 2], [6, 1], [15, 1], [18, 1]], 17/59719680], [[[2, 5], [4, 2], [6, 1], [18, 1], [20, 1]], 17/39813120], [[[2, 5], [4, 2], [6, 1], [18, 1], [24, 1]], 17/47775744], [[[2, 5], [4, 2], [6, 1], [18, 1], [30, 1]], 17/59719680], [[[2, 5], [4, 2], [6, 2], [8, 1], [16, 1]], 1/1327104], [[[2, 5], [4, 2], [6, 2], [8, 2], [10, 1]], 1/13271040], [[[2, 5], [4, 2], [6, 2], [8, 2], [12, 1]], 4885/18345885696], [[[2, 5], [4, 2], [6, 2], [10, 1], [12, 2]], 29/33177600], [[[2, 5], [4, 2], [6, 2], [10, 1], [15, 1]], 1/2073600], [[[2, 5], [4, 2], [6, 2], [10, 1], [20, 1]], 1/1382400], [[[2, 5], [4, 2], [6, 2], [10, 1], [24, 1]], 1/1658880], [[[2, 5], [4, 2], [6, 2], [10, 1], [30, 1]], 1/2073600], [[[2, 5], [4, 2], [6, 2], [10, 2], [12, 1]], 56137/57330892800], [[[2, 5], [4, 2], [6, 2], [12, 1], [15, 1]], 841/2866544640], [[[2, 5], [4, 2], [6, 2], [12, 1], [20, 1]], 3913/1911029760], [[[2, 5], [4, 2], [6, 2], [12, 1], [24, 1]], 2377/2293235712], [[[2, 5], [4, 2], [6, 2], [12, 1], [30, 1]], 841/2866544640], [[[2, 5], [4, 2], [6, 2], [14, 1], [18, 1]], 1/1741824], [[[2, 5], [4, 2], [6, 3], [10, 1], [18, 1]], 1/3732480], [[[2, 5], [4, 2], [6, 3], [12, 1], [14, 1]], 5/35831808], [[[2, 5], [4, 2], [6, 3], [12, 1], [18, 1]], 3083/15479341056], [[[2, 5], [4, 2], [6, 4], [10, 1], [12, 1]], 1751/26873856000], [[[2, 5], [4, 2], [8, 1], [10, 1], [16, 1]], 1/614400], [[[2, 5], [4, 2], [8, 2], [10, 1], [12, 1]], 13/33177600], [[[2, 5], [4, 2], [10, 1], [12, 1], [15, 1]], 1/5184000], [[[2, 5], [4, 2], [10, 1], [12, 1], [20, 1]], 13/3456000], [[[2, 5], [4, 2], [10, 1], [12, 1], [24, 1]], 7/4147200], [[[2, 5], [4, 2], [10, 1], [12, 1], [30, 1]], 1/5184000], [[[2, 5], [4, 2], [12, 1], [14, 1], [18, 1]], 1/435456], [[[2, 5], [4, 3], [5, 2], [6, 1], [8, 1]], 1/88473600], [[[2, 5], [4, 3], [6, 1], [8, 1], [10, 2]], 1/88473600], [[[2, 5], [4, 3], [6, 1], [8, 1], [12, 2]], 17/42467328], [[[2, 5], [4, 3], [6, 1], [8, 1], [15, 1]], 1/4423680], [[[2, 5], [4, 3], [6, 1], [8, 1], [20, 1]], 1/2949120], [[[2, 5], [4, 3], [6, 1], [8, 1], [24, 1]], 1/3538944], [[[2, 5], [4, 3], [6, 1], [8, 1], [30, 1]], 1/4423680], [[[2, 5], [4, 3], [6, 2], [8, 1], [18, 1]], 1/7962624], [[[2, 5], [4, 3], [6, 3], [8, 1], [12, 1]], 35/1146617856], [[[2, 5], [4, 3], [8, 1], [12, 1], [14, 1]], 1/516096], [[[2, 5], [4, 3], [8, 1], [12, 1], [18, 1]], 1/1990656], [[[2, 5], [4, 4], [6, 1], [10, 1], [14, 1]], 1/154828800], [[[2, 5], [4, 4], [6, 1], [10, 1], [18, 1]], 11/5971968000], [[[2, 5], [4, 4], [6, 1], [12, 1], [14, 1]], 23/53084160], [[[2, 5], [4, 4], [6, 1], [12, 1], [18, 1]], 19/159252480], [[[2, 5], [4, 4], [6, 2], [10, 1], [12, 1]], 2147/10616832000], [[[2, 5], [4, 5], [6, 1], [8, 1], [10, 1]], 1/707788800], [[[2, 5], [4, 5], [6, 1], [8, 1], [12, 1]], 161/1698693120], [[[2, 5], [5, 2], [6, 1], [10, 1], [14, 1]], 1/2016000], [[[2, 5], [5, 2], [6, 1], [10, 1], [18, 1]], 11/77760000], [[[2, 5], [5, 2], [6, 1], [12, 1], [14, 1]], 1/4838400], [[[2, 5], [5, 2], [6, 1], [12, 1], [18, 1]], 1/18662400], [[[2, 5], [5, 2], [6, 2], [10, 1], [12, 1]], 41/414720000], [[[2, 5], [6, 1], [8, 2], [10, 1], [14, 1]], 1/645120], [[[2, 5], [6, 1], [8, 2], [10, 1], [18, 1]], 11/24883200], [[[2, 5], [6, 1], [8, 2], [12, 1], [14, 1]], 1/1548288], [[[2, 5], [6, 1], [8, 2], [12, 1], [18, 1]], 1/5971968], [[[2, 5], [6, 1], [10, 1], [12, 2], [14, 1]], 1/967680], [[[2, 5], [6, 1], [10, 1], [12, 2], [18, 1]], 11/37324800], [[[2, 5], [6, 1], [10, 1], [14, 1], [15, 1]], 1/100800], [[[2, 5], [6, 1], [10, 1], [14, 1], [20, 1]], 1/67200], [[[2, 5], [6, 1], [10, 1], [14, 1], [24, 1]], 1/80640], [[[2, 5], [6, 1], [10, 1], [14, 1], [30, 1]], 1/100800], [[[2, 5], [6, 1], [10, 1], [15, 1], [18, 1]], 11/3888000], [[[2, 5], [6, 1], [10, 1], [18, 1], [20, 1]], 11/2592000], [[[2, 5], [6, 1], [10, 1], [18, 1], [24, 1]], 11/3110400], [[[2, 5], [6, 1], [10, 1], [18, 1], [30, 1]], 11/3888000], [[[2, 5], [6, 1], [10, 2], [12, 1], [14, 1]], 1/4838400], [[[2, 5], [6, 1], [10, 2], [12, 1], [18, 1]], 1/18662400], [[[2, 5], [6, 1], [12, 1], [14, 1], [15, 1]], 1/241920], [[[2, 5], [6, 1], [12, 1], [14, 1], [20, 1]], 1/161280], [[[2, 5], [6, 1], [12, 1], [14, 1], [24, 1]], 1/193536], [[[2, 5], [6, 1], [12, 1], [14, 1], [30, 1]], 1/241920], [[[2, 5], [6, 1], [12, 1], [15, 1], [18, 1]], 1/933120], [[[2, 5], [6, 1], [12, 1], [18, 1], [20, 1]], 1/622080], [[[2, 5], [6, 1], [12, 1], [18, 1], [24, 1]], 1/746496], [[[2, 5], [6, 1], [12, 1], [18, 1], [30, 1]], 1/933120], [[[2, 5], [6, 2], [8, 2], [10, 1], [12, 1]], 41/132710400], [[[2, 5], [6, 2], [10, 1], [12, 1], [15, 1]], 41/20736000], [[[2, 5], [6, 2], [10, 1], [12, 1], [20, 1]], 41/13824000], [[[2, 5], [6, 2], [10, 1], [12, 1], [24, 1]], 41/16588800], [[[2, 5], [6, 2], [10, 1], [12, 1], [30, 1]], 41/20736000], [[[2, 5], [6, 2], [10, 1], [14, 1], [18, 1]], 1/181440], [[[2, 5], [6, 2], [12, 1], [14, 1], [18, 1]], 5/1741824], [[[2, 5], [6, 3], [10, 1], [12, 1], [14, 1]], 1/967680], [[[2, 5], [6, 3], [10, 1], [12, 1], [18, 1]], 17/12441600], [[[2, 7], [3, 1], [4, 2], [6, 3], [9, 1]], 97/15479341056], [[[2, 7], [3, 1], [4, 2], [9, 1], [14, 1]], 1/55738368], [[[2, 7], [3, 1], [4, 2], [9, 1], [18, 1]], 1/214990848], [[[2, 7], [3, 1], [4, 3], [8, 1], [9, 1]], 1/254803968], [[[2, 7], [3, 1], [4, 4], [6, 1], [9, 1]], 1351/1547934105600], [[[2, 7], [3, 1], [5, 2], [6, 1], [9, 1]], 1/20155392000], [[[2, 7], [3, 1], [6, 1], [8, 2], [9, 1]], 1/6449725440], [[[2, 7], [3, 1], [6, 1], [9, 1], [10, 2]], 2593/20155392000], [[[2, 7], [3, 1], [6, 1], [9, 1], [12, 2]], 1/9674588160], [[[2, 7], [3, 1], [6, 1], [9, 1], [15, 1]], 1/1007769600], [[[2, 7], [3, 1], [6, 1], [9, 1], [20, 1]], 1/671846400], [[[2, 7], [3, 1], [6, 1], [9, 1], [24, 1]], 1/806215680], [[[2, 7], [3, 1], [6, 1], [9, 1], [30, 1]], 1/1007769600], [[[2, 7], [3, 1], [6, 2], [9, 1], [14, 1]], 1/7838208], [[[2, 7], [3, 1], [6, 2], [9, 1], [18, 1]], 11/226748160], [[[2, 7], [3, 1], [6, 3], [9, 1], [10, 1]], 61/1007769600], [[[2, 7], [3, 1], [6, 3], [9, 1], [12, 1]], 241/9674588160], [[[2, 7], [3, 1], [9, 1], [10, 1], [14, 1]], 1/3628800], [[[2, 7], [3, 1], [9, 1], [10, 1], [18, 1]], 1/13996800], [[[2, 7], [3, 2], [4, 1], [6, 4], [8, 1]], 5/3439853568], [[[2, 7], [3, 2], [4, 2], [5, 2], [6, 1]], 1/19110297600], [[[2, 7], [3, 2], [4, 2], [6, 1], [8, 2]], 109/6115295232], [[[2, 7], [3, 2], [4, 2], [6, 1], [10, 2]], 1/19110297600], [[[2, 7], [3, 2], [4, 2], [6, 1], [12, 2]], 347/412782428160], [[[2, 7], [3, 2], [4, 2], [6, 1], [15, 1]], 1/955514880], [[[2, 7], [3, 2], [4, 2], [6, 1], [20, 1]], 1/637009920], [[[2, 7], [3, 2], [4, 2], [6, 1], [24, 1]], 1/764411904], [[[2, 7], [3, 2], [4, 2], [6, 1], [30, 1]], 1/955514880], [[[2, 7], [3, 2], [4, 2], [6, 2], [14, 1]], 65/1783627776], [[[2, 7], [3, 2], [4, 2], [6, 2], [18, 1]], 23/2293235712], [[[2, 7], [3, 2], [4, 2], [6, 3], [10, 1]], 37/2123366400], [[[2, 7], [3, 2], [4, 2], [6, 3], [12, 1]], 15373/1238347284480], [[[2, 7], [3, 2], [4, 2], [12, 1], [14, 1]], 1/297271296], [[[2, 7], [3, 2], [4, 2], [12, 1], [18, 1]], 1/1146617856], [[[2, 7], [3, 2], [4, 3], [6, 2], [8, 1]], 65/8153726976], [[[2, 7], [3, 2], [4, 3], [8, 1], [12, 1]], 1/1358954496], [[[2, 7], [3, 2], [4, 4], [6, 1], [10, 1]], 1/95551488000], [[[2, 7], [3, 2], [4, 4], [6, 1], [12, 1]], 4951/8255648563200], [[[2, 7], [3, 2], [5, 2], [6, 1], [10, 1]], 1/1244160000], [[[2, 7], [3, 2], [5, 2], [6, 1], [12, 1]], 1/107495424000], [[[2, 7], [3, 2], [6, 1], [8, 2], [10, 1]], 1/398131200], [[[2, 7], [3, 2], [6, 1], [8, 2], [12, 1]], 1/34398535680], [[[2, 7], [3, 2], [6, 1], [10, 1], [12, 2]], 7/597196800], [[[2, 7], [3, 2], [6, 1], [10, 1], [15, 1]], 1/62208000], [[[2, 7], [3, 2], [6, 1], [10, 1], [20, 1]], 1/41472000], [[[2, 7], [3, 2], [6, 1], [10, 1], [24, 1]], 1/49766400], [[[2, 7], [3, 2], [6, 1], [10, 1], [30, 1]], 1/62208000], [[[2, 7], [3, 2], [6, 1], [10, 2], [12, 1]], 2593/107495424000], [[[2, 7], [3, 2], [6, 1], [12, 1], [15, 1]], 1/5374771200], [[[2, 7], [3, 2], [6, 1], [12, 1], [20, 1]], 1/3583180800], [[[2, 7], [3, 2], [6, 1], [12, 1], [24, 1]], 1/4299816960], [[[2, 7], [3, 2], [6, 1], [12, 1], [30, 1]], 1/5374771200], [[[2, 7], [3, 2], [6, 1], [14, 1], [18, 1]], 1/5225472], [[[2, 7], [3, 2], [6, 2], [10, 1], [14, 1]], 41/116121600], [[[2, 7], [3, 2], [6, 2], [10, 1], [18, 1]], 1/9953280], [[[2, 7], [3, 2], [6, 2], [12, 1], [14, 1]], 1/5971968], [[[2, 7], [3, 2], [6, 2], [12, 1], [18, 1]], 421/9674588160], [[[2, 7], [3, 2], [6, 3], [10, 1], [12, 1]], 439/5374771200], [[[2, 7], [3, 2], [10, 1], [12, 1], [14, 1]], 1/19353600], [[[2, 7], [3, 2], [10, 1], [12, 1], [18, 1]], 1/74649600], [[[2, 7], [3, 3], [4, 2], [6, 1], [9, 1]], 1/1719926784], [[[2, 7], [3, 3], [6, 1], [9, 1], [10, 1]], 1/111974400], [[[2, 7], [3, 3], [6, 1], [9, 1], [12, 1]], 1/9674588160], [[[2, 7], [3, 4], [4, 1], [6, 2], [8, 1]], 271/103195607040], [[[2, 7], [3, 4], [4, 1], [8, 1], [10, 1]], 1/47775744000], [[[2, 7], [3, 4], [4, 2], [6, 1], [10, 1]], 13/1719926784000], [[[2, 7], [3, 4], [4, 2], [6, 1], [12, 1]], 12301/111451255603200], [[[2, 7], [3, 4], [6, 1], [10, 1], [12, 1]], 91/53747712000], [[[2, 7], [4, 1], [5, 2], [6, 2], [8, 1]], 1/398131200], [[[2, 7], [4, 1], [5, 2], [8, 1], [10, 1]], 1/184320000], [[[2, 7], [4, 1], [6, 2], [8, 1], [10, 2]], 217/398131200], [[[2, 7], [4, 1], [6, 2], [8, 1], [12, 2]], 19/191102976], [[[2, 7], [4, 1], [6, 2], [8, 1], [15, 1]], 1/19906560], [[[2, 7], [4, 1], [6, 2], [8, 1], [20, 1]], 1/13271040], [[[2, 7], [4, 1], [6, 2], [8, 1], [24, 1]], 1/15925248], [[[2, 7], [4, 1], [6, 2], [8, 1], [30, 1]], 1/19906560], [[[2, 7], [4, 1], [6, 3], [8, 1], [14, 1]], 1/55738368], [[[2, 7], [4, 1], [6, 3], [8, 1], [18, 1]], 7/214990848], [[[2, 7], [4, 1], [6, 4], [8, 1], [10, 1]], 401/47775744000], [[[2, 7], [4, 1], [6, 4], [8, 1], [12, 1]], 5/573308928], [[[2, 7], [4, 1], [8, 1], [10, 1], [12, 2]], 1/88473600], [[[2, 7], [4, 1], [8, 1], [10, 1], [15, 1]], 1/9216000], [[[2, 7], [4, 1], [8, 1], [10, 1], [20, 1]], 1/6144000], [[[2, 7], [4, 1], [8, 1], [10, 1], [24, 1]], 1/7372800], [[[2, 7], [4, 1], [8, 1], [10, 1], [30, 1]], 1/9216000], [[[2, 7], [4, 1], [8, 1], [14, 1], [18, 1]], 1/774144], [[[2, 7], [4, 2], [5, 2], [6, 1], [10, 1]], 13/6635520000], [[[2, 7], [4, 2], [5, 2], [6, 1], [12, 1]], 151/429981696000], [[[2, 7], [4, 2], [6, 1], [8, 1], [16, 1]], 1/159252480], [[[2, 7], [4, 2], [6, 1], [8, 2], [10, 1]], 553/2123366400], [[[2, 7], [4, 2], [6, 1], [8, 2], [12, 1]], 14923/137594142720], [[[2, 7], [4, 2], [6, 1], [10, 1], [12, 2]], 47/1061683200], [[[2, 7], [4, 2], [6, 1], [10, 1], [15, 1]], 13/331776000], [[[2, 7], [4, 2], [6, 1], [10, 1], [20, 1]], 13/221184000], [[[2, 7], [4, 2], [6, 1], [10, 1], [24, 1]], 13/265420800], [[[2, 7], [4, 2], [6, 1], [10, 1], [30, 1]], 13/331776000], [[[2, 7], [4, 2], [6, 1], [10, 2], [12, 1]], 41623/429981696000], [[[2, 7], [4, 2], [6, 1], [12, 1], [15, 1]], 151/21499084800], [[[2, 7], [4, 2], [6, 1], [12, 1], [20, 1]], 343/14332723200], [[[2, 7], [4, 2], [6, 1], [12, 1], [24, 1]], 247/17199267840], [[[2, 7], [4, 2], [6, 1], [12, 1], [30, 1]], 151/21499084800], [[[2, 7], [4, 2], [6, 1], [14, 1], [18, 1]], 17/55738368], [[[2, 7], [4, 2], [6, 2], [10, 1], [14, 1]], 1/1935360], [[[2, 7], [4, 2], [6, 2], [10, 1], [18, 1]], 31/199065600], [[[2, 7], [4, 2], [6, 2], [12, 1], [14, 1]], 841/2675441664], [[[2, 7], [4, 2], [6, 2], [12, 1], [18, 1]], 13219/154793410560], [[[2, 7], [4, 2], [6, 3], [10, 1], [12, 1]], 2579/17199267840], [[[2, 7], [4, 2], [10, 1], [12, 1], [14, 1]], 1/4838400], [[[2, 7], [4, 2], [10, 1], [12, 1], [18, 1]], 1/18662400], [[[2, 7], [4, 3], [6, 1], [8, 1], [14, 1]], 1/4128768], [[[2, 7], [4, 3], [6, 1], [8, 1], [18, 1]], 17/254803968], [[[2, 7], [4, 3], [6, 2], [8, 1], [10, 1]], 1/8847360], [[[2, 7], [4, 3], [6, 2], [8, 1], [12, 1]], 841/12230590464], [[[2, 7], [4, 3], [8, 1], [10, 1], [12, 1]], 1/22118400], [[[2, 7], [4, 4], [6, 1], [10, 1], [12, 1]], 29/1769472000], [[[2, 7], [5, 2], [6, 1], [10, 1], [12, 1]], 1/207360000], [[[2, 7], [6, 1], [8, 2], [10, 1], [12, 1]], 1/66355200], [[[2, 7], [6, 1], [10, 1], [12, 1], [15, 1]], 1/10368000], [[[2, 7], [6, 1], [10, 1], [12, 1], [20, 1]], 1/6912000], [[[2, 7], [6, 1], [10, 1], [12, 1], [24, 1]], 1/8294400], [[[2, 7], [6, 1], [10, 1], [12, 1], [30, 1]], 1/10368000], [[[2, 7], [6, 1], [10, 1], [14, 1], [18, 1]], 11/3628800], [[[2, 7], [6, 1], [12, 1], [14, 1], [18, 1]], 1/870912], [[[2, 7], [6, 2], [10, 1], [12, 1], [14, 1]], 41/19353600], [[[2, 7], [6, 2], [10, 1], [12, 1], [18, 1]], 1/1658880], [[[2, 9], [3, 1], [4, 2], [6, 2], [9, 1]], 19/77396705280], [[[2, 9], [3, 1], [4, 2], [9, 1], [10, 1]], 1/2388787200], [[[2, 9], [3, 1], [4, 2], [9, 1], [12, 1]], 1/5417769369600], [[[2, 9], [3, 1], [6, 1], [9, 1], [14, 1]], 1/940584960], [[[2, 9], [3, 1], [6, 1], [9, 1], [18, 1]], 41/145118822400], [[[2, 9], [3, 1], [6, 2], [9, 1], [10, 1]], 7/2015539200], [[[2, 9], [3, 1], [6, 2], [9, 1], [12, 1]], 4481/21671077478400], [[[2, 9], [3, 2], [4, 1], [6, 3], [8, 1]], 241/137594142720], [[[2, 9], [3, 2], [4, 2], [6, 1], [14, 1]], 1/891813888], [[[2, 9], [3, 2], [4, 2], [6, 1], [18, 1]], 1/3439853568], [[[2, 9], [3, 2], [4, 2], [6, 2], [10, 1]], 7/5096079360], [[[2, 9], [3, 2], [4, 2], [6, 2], [12, 1]], 50333/173368619827200], [[[2, 9], [3, 2], [4, 2], [10, 1], [12, 1]], 1/12740198400], [[[2, 9], [3, 2], [4, 3], [6, 1], [8, 1]], 1/4076863488], [[[2, 9], [3, 2], [6, 1], [10, 1], [14, 1]], 1/58060800], [[[2, 9], [3, 2], [6, 1], [10, 1], [18, 1]], 1/223948800], [[[2, 9], [3, 2], [6, 1], [12, 1], [14, 1]], 1/5016453120], [[[2, 9], [3, 2], [6, 1], [12, 1], [18, 1]], 1121/21671077478400], [[[2, 9], [3, 2], [6, 2], [10, 1], [12, 1]], 43/10749542400], [[[2, 9], [3, 4], [4, 1], [6, 1], [8, 1]], 1/12383472844800], [[[2, 9], [4, 1], [5, 2], [6, 1], [8, 1]], 1/47775744000], [[[2, 9], [4, 1], [6, 1], [8, 1], [10, 2]], 2593/47775744000], [[[2, 9], [4, 1], [6, 1], [8, 1], [12, 2]], 1/22932357120], [[[2, 9], [4, 1], [6, 1], [8, 1], [15, 1]], 1/2388787200], [[[2, 9], [4, 1], [6, 1], [8, 1], [20, 1]], 1/1592524800], [[[2, 9], [4, 1], [6, 1], [8, 1], [24, 1]], 1/1911029760], [[[2, 9], [4, 1], [6, 1], [8, 1], [30, 1]], 1/2388787200], [[[2, 9], [4, 1], [6, 2], [8, 1], [14, 1]], 1/18579456], [[[2, 9], [4, 1], [6, 2], [8, 1], [18, 1]], 61/4299816960], [[[2, 9], [4, 1], [6, 3], [8, 1], [10, 1]], 61/2388787200], [[[2, 9], [4, 1], [6, 3], [8, 1], [12, 1]], 241/22932357120], [[[2, 9], [4, 1], [8, 1], [10, 1], [14, 1]], 1/8601600], [[[2, 9], [4, 1], [8, 1], [10, 1], [18, 1]], 1/33177600], [[[2, 9], [4, 2], [6, 1], [10, 1], [14, 1]], 13/309657600], [[[2, 9], [4, 2], [6, 1], [10, 1], [18, 1]], 1/88473600], [[[2, 9], [4, 2], [6, 1], [12, 1], [14, 1]], 151/20065812480], [[[2, 9], [4, 2], [6, 1], [12, 1], [18, 1]], 10571/5417769369600], [[[2, 9], [4, 2], [6, 2], [10, 1], [12, 1]], 3731/343985356800], [[[2, 9], [4, 3], [6, 1], [8, 1], [10, 1]], 13/1415577600], [[[2, 9], [4, 3], [6, 1], [8, 1], [12, 1]], 151/91729428480], [[[2, 9], [6, 1], [10, 1], [12, 1], [14, 1]], 1/9676800], [[[2, 9], [6, 1], [10, 1], [12, 1], [18, 1]], 1/37324800], [[[2, 11], [3, 1], [4, 1], [8, 1], [9, 1]], 1/9631589990400], [[[2, 11], [3, 1], [4, 2], [6, 1], [9, 1]], 71/43342154956800], [[[2, 11], [3, 1], [6, 1], [9, 1], [10, 1]], 113/4514807808000], [[[2, 11], [3, 1], [6, 1], [9, 1], [12, 1]], 1/10835538739200], [[[2, 11], [3, 2], [4, 1], [6, 2], [8, 1]], 4481/308210879692800], [[[2, 11], [3, 2], [4, 1], [8, 1], [12, 1]], 1/51368479948800], [[[2, 11], [3, 2], [4, 2], [6, 1], [10, 1]], 1/38220595200], [[[2, 11], [3, 2], [4, 2], [6, 1], [12, 1]], 221/693474479308800], [[[2, 11], [3, 2], [6, 1], [10, 1], [12, 1]], 113/24078974976000], [[[2, 11], [4, 1], [6, 1], [8, 1], [14, 1]], 1/2229534720], [[[2, 11], [4, 1], [6, 1], [8, 1], [18, 1]], 1121/9631589990400], [[[2, 11], [4, 1], [6, 2], [8, 1], [10, 1]], 7/4777574400], [[[2, 11], [4, 1], [6, 2], [8, 1], [12, 1]], 4481/51368479948800], [[[2, 11], [4, 2], [6, 1], [10, 1], [12, 1]], 529/3009871872000], [[[2, 13], [3, 2], [4, 1], [6, 1], [8, 1]], 1/154105439846400], [[[2, 13], [4, 1], [6, 1], [8, 1], [10, 1]], 113/10701766656000], [[[2, 13], [4, 1], [6, 1], [8, 1], [12, 1]], 1/25684239974400], [[[1, 1], [2, 2], [3, 1], [4, 1], [5, 2], [6, 5]], 1/13436928000], [[[1, 1], [2, 2], [3, 1], [4, 1], [5, 3], [9, 1]], 1/2592000], [[[1, 1], [2, 2], [3, 1], [4, 1], [5, 4], [6, 1]], 1/103680000], [[[1, 1], [2, 2], [3, 1], [4, 1], [6, 1], [8, 4]], 1/5898240], [[[1, 1], [2, 2], [3, 1], [4, 1], [6, 1], [10, 4]], 1/103680000], [[[1, 1], [2, 2], [3, 1], [4, 1], [6, 1], [12, 4]], 1103/358318080], [[[1, 1], [2, 2], [3, 1], [4, 1], [6, 1], [15, 2]], 1/259200], [[[1, 1], [2, 2], [3, 1], [4, 1], [6, 1], [16, 2]], 1/55296], [[[1, 1], [2, 2], [3, 1], [4, 1], [6, 1], [20, 2]], 1/69120], [[[1, 1], [2, 2], [3, 1], [4, 1], [6, 1], [24, 2]], 13/55296], [[[1, 1], [2, 2], [3, 1], [4, 1], [6, 1], [30, 2]], 1/259200], [[[1, 1], [2, 2], [3, 1], [4, 1], [6, 1], [40, 1]], 1/5760], [[[1, 1], [2, 2], [3, 1], [4, 1], [6, 1], [48, 1]], 1/6912], [[[1, 1], [2, 2], [3, 1], [4, 1], [6, 1], [60, 1]], 1/8640], [[[1, 1], [2, 2], [3, 1], [4, 1], [6, 3], [12, 3]], 37/11943936], [[[1, 1], [2, 2], [3, 1], [4, 1], [6, 3], [18, 2]], 1/839808], [[[1, 1], [2, 2], [3, 1], [4, 1], [6, 5], [8, 2]], 1/4299816960], [[[1, 1], [2, 2], [3, 1], [4, 1], [6, 5], [10, 2]], 1/13436928000], [[[1, 1], [2, 2], [3, 1], [4, 1], [6, 5], [12, 2]], 307/6449725440], [[[1, 1], [2, 2], [3, 1], [4, 1], [6, 5], [15, 1]], 1/671846400], [[[1, 1], [2, 2], [3, 1], [4, 1], [6, 5], [16, 1]], 1/29859840], [[[1, 1], [2, 2], [3, 1], [4, 1], [6, 5], [20, 1]], 1/447897600], [[[1, 1], [2, 2], [3, 1], [4, 1], [6, 5], [24, 1]], 19/537477120], [[[1, 1], [2, 2], [3, 1], [4, 1], [6, 5], [30, 1]], 1/671846400], [[[1, 1], [2, 2], [3, 1], [4, 1], [6, 6], [18, 1]], 1/1209323520], [[[1, 1], [2, 2], [3, 1], [4, 1], [6, 7], [12, 1]], 1/6449725440], [[[1, 1], [2, 2], [3, 1], [4, 1], [8, 3], [9, 1]], 1/98304], [[[1, 1], [2, 2], [3, 1], [4, 1], [9, 1], [10, 3]], 1/2592000], [[[1, 1], [2, 2], [3, 1], [4, 1], [9, 1], [12, 3]], 7/2239488], [[[1, 1], [2, 2], [3, 1], [4, 1], [9, 1], [28, 1]], 1/6048], [[[1, 1], [2, 2], [3, 1], [4, 1], [9, 1], [36, 1]], 1/7776], [[[1, 1], [2, 2], [3, 1], [4, 1], [9, 2], [18, 1]], 1/7776], [[[1, 1], [2, 2], [3, 1], [4, 2], [5, 1], [12, 3]], 7/7464960], [[[1, 1], [2, 2], [3, 1], [4, 2], [5, 1], [28, 1]], 1/6720], [[[1, 1], [2, 2], [3, 1], [4, 2], [5, 1], [36, 1]], 1/25920], [[[1, 1], [2, 2], [3, 1], [4, 2], [5, 2], [12, 2]], 1/4147200], [[[1, 1], [2, 2], [3, 1], [4, 2], [5, 3], [12, 1]], 1/5184000], [[[1, 1], [2, 2], [3, 1], [4, 2], [6, 2], [12, 3]], 25/35831808], [[[1, 1], [2, 2], [3, 1], [4, 2], [6, 2], [28, 1]], 1/32256], [[[1, 1], [2, 2], [3, 1], [4, 2], [6, 2], [36, 1]], 1/124416], [[[1, 1], [2, 2], [3, 1], [4, 2], [6, 4], [12, 2]], 91/1074954240], [[[1, 1], [2, 2], [3, 1], [4, 2], [6, 5], [9, 1]], 1/9674588160], [[[1, 1], [2, 2], [3, 1], [4, 2], [6, 6], [12, 1]], 1/6449725440], [[[1, 1], [2, 2], [3, 1], [4, 2], [8, 1], [12, 3]], 7/5971968], [[[1, 1], [2, 2], [3, 1], [4, 2], [8, 1], [28, 1]], 1/5376], [[[1, 1], [2, 2], [3, 1], [4, 2], [8, 1], [36, 1]], 1/20736], [[[1, 1], [2, 2], [3, 1], [4, 2], [8, 2], [12, 2]], 13/1327104], [[[1, 1], [2, 2], [3, 1], [4, 2], [8, 2], [16, 1]], 1/24576], [[[1, 1], [2, 2], [3, 1], [4, 2], [8, 3], [12, 1]], 13/1327104], [[[1, 1], [2, 2], [3, 1], [4, 2], [9, 2], [12, 1]], 1/279936], [[[1, 1], [2, 2], [3, 1], [4, 2], [10, 2], [12, 2]], 1/4147200], [[[1, 1], [2, 2], [3, 1], [4, 2], [12, 1], [28, 1]], 1/5376], [[[1, 1], [2, 2], [3, 1], [4, 2], [12, 1], [36, 1]], 1/20736], [[[1, 1], [2, 2], [3, 1], [4, 2], [12, 2], [15, 1]], 1/207360], [[[1, 1], [2, 2], [3, 1], [4, 2], [12, 2], [20, 1]], 13/138240], [[[1, 1], [2, 2], [3, 1], [4, 2], [12, 2], [24, 1]], 7/165888], [[[1, 1], [2, 2], [3, 1], [4, 2], [12, 2], [30, 1]], 1/207360], [[[1, 1], [2, 2], [3, 1], [4, 3], [5, 2], [9, 1]], 1/49766400], [[[1, 1], [2, 2], [3, 1], [4, 3], [6, 1], [8, 3]], 1/442368], [[[1, 1], [2, 2], [3, 1], [4, 3], [6, 1], [12, 3]], 2113/8957952], [[[1, 1], [2, 2], [3, 1], [4, 3], [6, 1], [28, 1]], 1/8064], [[[1, 1], [2, 2], [3, 1], [4, 3], [6, 1], [36, 1]], 1/31104], [[[1, 1], [2, 2], [3, 1], [4, 3], [6, 3], [12, 2]], 19/2985984], [[[1, 1], [2, 2], [3, 1], [4, 3], [6, 4], [9, 1]], 1/12899450880], [[[1, 1], [2, 2], [3, 1], [4, 3], [6, 5], [8, 1]], 1/358318080], [[[1, 1], [2, 2], [3, 1], [4, 3], [6, 5], [12, 1]], 19/1612431360], [[[1, 1], [2, 2], [3, 1], [4, 3], [8, 2], [9, 1]], 49/15925248], [[[1, 1], [2, 2], [3, 1], [4, 3], [9, 1], [10, 2]], 1/49766400], [[[1, 1], [2, 2], [3, 1], [4, 3], [9, 1], [12, 2]], 385/23887872], [[[1, 1], [2, 2], [3, 1], [4, 3], [9, 1], [15, 1]], 1/2488320], [[[1, 1], [2, 2], [3, 1], [4, 3], [9, 1], [16, 1]], 1/82944], [[[1, 1], [2, 2], [3, 1], [4, 3], [9, 1], [20, 1]], 13/331776], [[[1, 1], [2, 2], [3, 1], [4, 3], [9, 1], [24, 1]], 1/1990656], [[[1, 1], [2, 2], [3, 1], [4, 3], [9, 1], [30, 1]], 1/2488320], [[[1, 1], [2, 2], [3, 1], [4, 4], [5, 1], [6, 4]], 1/859963392000], [[[1, 1], [2, 2], [3, 1], [4, 4], [5, 1], [8, 2]], 241/1061683200], [[[1, 1], [2, 2], [3, 1], [4, 4], [5, 1], [10, 2]], 1/3317760000], [[[1, 1], [2, 2], [3, 1], [4, 4], [5, 1], [12, 2]], 3841/1592524800], [[[1, 1], [2, 2], [3, 1], [4, 4], [5, 1], [15, 1]], 1/165888000], [[[1, 1], [2, 2], [3, 1], [4, 4], [5, 1], [20, 1]], 77/22118400], [[[1, 1], [2, 2], [3, 1], [4, 4], [5, 1], [24, 1]], 1/132710400], [[[1, 1], [2, 2], [3, 1], [4, 4], [5, 1], [30, 1]], 1/165888000], [[[1, 1], [2, 2], [3, 1], [4, 4], [5, 2], [6, 2]], 1/15925248000], [[[1, 1], [2, 2], [3, 1], [4, 4], [5, 2], [8, 1]], 1/2654208000], [[[1, 1], [2, 2], [3, 1], [4, 4], [5, 2], [12, 1]], 1/2654208000], [[[1, 1], [2, 2], [3, 1], [4, 4], [6, 2], [8, 2]], 241/5096079360], [[[1, 1], [2, 2], [3, 1], [4, 4], [6, 2], [10, 2]], 1/15925248000], [[[1, 1], [2, 2], [3, 1], [4, 4], [6, 2], [12, 2]], 3847/7644119040], [[[1, 1], [2, 2], [3, 1], [4, 4], [6, 2], [15, 1]], 1/796262400], [[[1, 1], [2, 2], [3, 1], [4, 4], [6, 2], [20, 1]], 77/106168320], [[[1, 1], [2, 2], [3, 1], [4, 4], [6, 2], [24, 1]], 1/637009920], [[[1, 1], [2, 2], [3, 1], [4, 4], [6, 2], [30, 1]], 1/796262400], [[[1, 1], [2, 2], [3, 1], [4, 4], [6, 3], [9, 1]], 1/9674588160], [[[1, 1], [2, 2], [3, 1], [4, 4], [6, 3], [18, 1]], 1/1433272320], [[[1, 1], [2, 2], [3, 1], [4, 4], [6, 4], [8, 1]], 1/687970713600], [[[1, 1], [2, 2], [3, 1], [4, 4], [6, 4], [12, 1]], 91/687970713600], [[[1, 1], [2, 2], [3, 1], [4, 4], [7, 1], [9, 1]], 1/139345920], [[[1, 1], [2, 2], [3, 1], [4, 4], [8, 1], [10, 2]], 1/2654208000], [[[1, 1], [2, 2], [3, 1], [4, 4], [8, 1], [12, 2]], 3841/1274019840], [[[1, 1], [2, 2], [3, 1], [4, 4], [8, 1], [15, 1]], 1/132710400], [[[1, 1], [2, 2], [3, 1], [4, 4], [8, 1], [20, 1]], 77/17694720], [[[1, 1], [2, 2], [3, 1], [4, 4], [8, 1], [24, 1]], 1/106168320], [[[1, 1], [2, 2], [3, 1], [4, 4], [8, 1], [30, 1]], 1/132710400], [[[1, 1], [2, 2], [3, 1], [4, 4], [8, 2], [12, 1]], 241/849346560], [[[1, 1], [2, 2], [3, 1], [4, 4], [9, 1], [14, 1]], 1/69672960], [[[1, 1], [2, 2], [3, 1], [4, 4], [9, 1], [18, 1]], 1/134369280], [[[1, 1], [2, 2], [3, 1], [4, 4], [10, 2], [12, 1]], 1/2654208000], [[[1, 1], [2, 2], [3, 1], [4, 4], [12, 1], [15, 1]], 1/132710400], [[[1, 1], [2, 2], [3, 1], [4, 4], [12, 1], [20, 1]], 77/17694720], [[[1, 1], [2, 2], [3, 1], [4, 4], [12, 1], [24, 1]], 1/106168320], [[[1, 1], [2, 2], [3, 1], [4, 4], [12, 1], [30, 1]], 1/132710400], [[[1, 1], [2, 2], [3, 1], [4, 5], [5, 1], [9, 1]], 1/199065600], [[[1, 1], [2, 2], [3, 1], [4, 5], [5, 2], [6, 1]], 1/3981312000], [[[1, 1], [2, 2], [3, 1], [4, 5], [6, 1], [8, 2]], 241/1274019840], [[[1, 1], [2, 2], [3, 1], [4, 5], [6, 1], [10, 2]], 1/3981312000], [[[1, 1], [2, 2], [3, 1], [4, 5], [6, 1], [12, 2]], 49957/1911029760], [[[1, 1], [2, 2], [3, 1], [4, 5], [6, 1], [15, 1]], 1/199065600], [[[1, 1], [2, 2], [3, 1], [4, 5], [6, 1], [16, 1]], 1/8847360], [[[1, 1], [2, 2], [3, 1], [4, 5], [6, 1], [20, 1]], 77/26542080], [[[1, 1], [2, 2], [3, 1], [4, 5], [6, 1], [24, 1]], 19/159252480], [[[1, 1], [2, 2], [3, 1], [4, 5], [6, 1], [30, 1]], 1/199065600], [[[1, 1], [2, 2], [3, 1], [4, 5], [6, 2], [18, 1]], 1/358318080], [[[1, 1], [2, 2], [3, 1], [4, 5], [6, 3], [12, 1]], 1/1911029760], [[[1, 1], [2, 2], [3, 1], [4, 5], [8, 1], [9, 1]], 203/637009920], [[[1, 1], [2, 2], [3, 1], [4, 5], [9, 1], [10, 1]], 1/199065600], [[[1, 1], [2, 2], [3, 1], [4, 5], [9, 1], [12, 1]], 17/23887872], [[[1, 1], [2, 2], [3, 1], [4, 6], [5, 1], [12, 1]], 19/1194393600], [[[1, 1], [2, 2], [3, 1], [4, 6], [6, 1], [9, 1]], 1/2866544640], [[[1, 1], [2, 2], [3, 1], [4, 6], [6, 2], [12, 1]], 19/5733089280], [[[1, 1], [2, 2], [3, 1], [4, 6], [8, 1], [12, 1]], 19/955514880], [[[1, 1], [2, 2], [3, 1], [4, 7], [6, 1], [8, 1]], 1/106168320], [[[1, 1], [2, 2], [3, 1], [4, 7], [6, 1], [12, 1]], 73/1433272320], [[[1, 1], [2, 2], [3, 1], [5, 1], [6, 2], [12, 3]], 1/9953280], [[[1, 1], [2, 2], [3, 1], [5, 1], [6, 2], [18, 2]], 1/699840], [[[1, 1], [2, 2], [3, 1], [5, 1], [6, 4], [8, 2]], 1/3583180800], [[[1, 1], [2, 2], [3, 1], [5, 1], [6, 4], [10, 2]], 1/11197440000], [[[1, 1], [2, 2], [3, 1], [5, 1], [6, 4], [12, 2]], 271/5374771200], [[[1, 1], [2, 2], [3, 1], [5, 1], [6, 4], [15, 1]], 1/559872000], [[[1, 1], [2, 2], [3, 1], [5, 1], [6, 4], [20, 1]], 1/373248000], [[[1, 1], [2, 2], [3, 1], [5, 1], [6, 4], [24, 1]], 1/447897600], [[[1, 1], [2, 2], [3, 1], [5, 1], [6, 4], [30, 1]], 1/559872000], [[[1, 1], [2, 2], [3, 1], [5, 1], [6, 5], [18, 1]], 1/1007769600], [[[1, 1], [2, 2], [3, 1], [5, 1], [6, 6], [12, 1]], 1/5374771200], [[[1, 1], [2, 2], [3, 1], [5, 1], [8, 2], [10, 2]], 1/13824000], [[[1, 1], [2, 2], [3, 1], [5, 1], [8, 2], [12, 2]], 1/6635520], [[[1, 1], [2, 2], [3, 1], [5, 1], [8, 2], [15, 1]], 1/691200], [[[1, 1], [2, 2], [3, 1], [5, 1], [8, 2], [20, 1]], 1/460800], [[[1, 1], [2, 2], [3, 1], [5, 1], [8, 2], [24, 1]], 11/184320], [[[1, 1], [2, 2], [3, 1], [5, 1], [8, 2], [30, 1]], 1/691200], [[[1, 1], [2, 2], [3, 1], [5, 1], [10, 2], [12, 2]], 1/20736000], [[[1, 1], [2, 2], [3, 1], [5, 1], [10, 2], [15, 1]], 1/2160000], [[[1, 1], [2, 2], [3, 1], [5, 1], [10, 2], [20, 1]], 1/1440000], [[[1, 1], [2, 2], [3, 1], [5, 1], [10, 2], [24, 1]], 1/1728000], [[[1, 1], [2, 2], [3, 1], [5, 1], [10, 2], [30, 1]], 1/2160000], [[[1, 1], [2, 2], [3, 1], [5, 1], [12, 1], [36, 1]], 1/12960], [[[1, 1], [2, 2], [3, 1], [5, 1], [12, 2], [15, 1]], 1/1036800], [[[1, 1], [2, 2], [3, 1], [5, 1], [12, 2], [20, 1]], 1/691200], [[[1, 1], [2, 2], [3, 1], [5, 1], [12, 2], [24, 1]], 13/829440], [[[1, 1], [2, 2], [3, 1], [5, 1], [12, 2], [30, 1]], 1/1036800], [[[1, 1], [2, 2], [3, 1], [5, 1], [15, 1], [20, 1]], 1/72000], [[[1, 1], [2, 2], [3, 1], [5, 1], [15, 1], [24, 1]], 1/86400], [[[1, 1], [2, 2], [3, 1], [5, 1], [15, 1], [30, 1]], 1/6750], [[[1, 1], [2, 2], [3, 1], [5, 1], [20, 1], [24, 1]], 1/57600], [[[1, 1], [2, 2], [3, 1], [5, 1], [20, 1], [30, 1]], 1/72000], [[[1, 1], [2, 2], [3, 1], [5, 1], [24, 1], [30, 1]], 1/86400], [[[1, 1], [2, 2], [3, 1], [5, 2], [6, 2], [8, 2]], 1/66355200], [[[1, 1], [2, 2], [3, 1], [5, 2], [6, 2], [10, 2]], 301/207360000], [[[1, 1], [2, 2], [3, 1], [5, 2], [6, 2], [12, 2]], 7/99532800], [[[1, 1], [2, 2], [3, 1], [5, 2], [6, 2], [15, 1]], 1/10368000], [[[1, 1], [2, 2], [3, 1], [5, 2], [6, 2], [20, 1]], 1/6912000], [[[1, 1], [2, 2], [3, 1], [5, 2], [6, 2], [24, 1]], 1/8294400], [[[1, 1], [2, 2], [3, 1], [5, 2], [6, 2], [30, 1]], 1/10368000], [[[1, 1], [2, 2], [3, 1], [5, 2], [6, 3], [9, 1]], 1/125971200], [[[1, 1], [2, 2], [3, 1], [5, 2], [6, 3], [18, 1]], 1/18662400], [[[1, 1], [2, 2], [3, 1], [5, 2], [6, 4], [8, 1]], 1/8957952000], [[[1, 1], [2, 2], [3, 1], [5, 2], [6, 4], [12, 1]], 91/8957952000], [[[1, 1], [2, 2], [3, 1], [5, 2], [7, 1], [9, 1]], 1/1814400], [[[1, 1], [2, 2], [3, 1], [5, 2], [8, 1], [10, 2]], 301/34560000], [[[1, 1], [2, 2], [3, 1], [5, 2], [8, 1], [12, 2]], 1/16588800], [[[1, 1], [2, 2], [3, 1], [5, 2], [8, 1], [15, 1]], 1/1728000], [[[1, 1], [2, 2], [3, 1], [5, 2], [8, 1], [20, 1]], 1/1152000], [[[1, 1], [2, 2], [3, 1], [5, 2], [8, 1], [24, 1]], 1/1382400], [[[1, 1], [2, 2], [3, 1], [5, 2], [8, 1], [30, 1]], 1/1728000], [[[1, 1], [2, 2], [3, 1], [5, 2], [8, 2], [12, 1]], 1/11059200], [[[1, 1], [2, 2], [3, 1], [5, 2], [9, 1], [14, 1]], 1/907200], [[[1, 1], [2, 2], [3, 1], [5, 2], [9, 1], [18, 1]], 1/1749600], [[[1, 1], [2, 2], [3, 1], [5, 2], [10, 2], [12, 1]], 301/34560000], [[[1, 1], [2, 2], [3, 1], [5, 2], [12, 1], [15, 1]], 1/1728000], [[[1, 1], [2, 2], [3, 1], [5, 2], [12, 1], [20, 1]], 1/1152000], [[[1, 1], [2, 2], [3, 1], [5, 2], [12, 1], [24, 1]], 1/1382400], [[[1, 1], [2, 2], [3, 1], [5, 2], [12, 1], [30, 1]], 1/1728000], [[[1, 1], [2, 2], [3, 1], [5, 3], [6, 1], [18, 1]], 1/3888000], [[[1, 1], [2, 2], [3, 1], [5, 3], [6, 2], [12, 1]], 1/20736000], [[[1, 1], [2, 2], [3, 1], [6, 1], [7, 1], [21, 1]], 1/168], [[[1, 1], [2, 2], [3, 1], [6, 1], [8, 3], [9, 1]], 1/995328], [[[1, 1], [2, 2], [3, 1], [6, 1], [8, 3], [18, 1]], 1/995328], [[[1, 1], [2, 2], [3, 1], [6, 1], [9, 1], [10, 3]], 1/1944000], [[[1, 1], [2, 2], [3, 1], [6, 1], [9, 1], [12, 3]], 1/1119744], [[[1, 1], [2, 2], [3, 1], [6, 1], [9, 1], [18, 2]], 953/1259712], [[[1, 1], [2, 2], [3, 1], [6, 1], [9, 1], [36, 1]], 1/288], [[[1, 1], [2, 2], [3, 1], [6, 1], [9, 2], [18, 1]], 299/419904], [[[1, 1], [2, 2], [3, 1], [6, 1], [12, 3], [18, 1]], 1/1492992], [[[1, 1], [2, 2], [3, 1], [6, 1], [14, 1], [42, 1]], 1/168], [[[1, 1], [2, 2], [3, 1], [6, 1], [18, 1], [36, 1]], 1/288], [[[1, 1], [2, 2], [3, 1], [6, 2], [8, 1], [12, 3]], 1/7962624], [[[1, 1], [2, 2], [3, 1], [6, 2], [8, 1], [18, 2]], 1/559872], [[[1, 1], [2, 2], [3, 1], [6, 2], [8, 2], [10, 2]], 1/66355200], [[[1, 1], [2, 2], [3, 1], [6, 2], [8, 2], [12, 2]], 7/31850496], [[[1, 1], [2, 2], [3, 1], [6, 2], [8, 2], [15, 1]], 1/3317760], [[[1, 1], [2, 2], [3, 1], [6, 2], [8, 2], [20, 1]], 1/2211840], [[[1, 1], [2, 2], [3, 1], [6, 2], [8, 2], [24, 1]], 11/884736], [[[1, 1], [2, 2], [3, 1], [6, 2], [8, 2], [30, 1]], 1/3317760], [[[1, 1], [2, 2], [3, 1], [6, 2], [8, 3], [12, 1]], 1/5308416], [[[1, 1], [2, 2], [3, 1], [6, 2], [9, 2], [12, 1]], 1/1119744], [[[1, 1], [2, 2], [3, 1], [6, 2], [10, 2], [12, 2]], 7/99532800], [[[1, 1], [2, 2], [3, 1], [6, 2], [10, 2], [15, 1]], 1/10368000], [[[1, 1], [2, 2], [3, 1], [6, 2], [10, 2], [20, 1]], 1/6912000], [[[1, 1], [2, 2], [3, 1], [6, 2], [10, 2], [24, 1]], 1/8294400], [[[1, 1], [2, 2], [3, 1], [6, 2], [10, 2], [30, 1]], 1/10368000], [[[1, 1], [2, 2], [3, 1], [6, 2], [12, 1], [18, 2]], 1/559872], [[[1, 1], [2, 2], [3, 1], [6, 2], [12, 1], [36, 1]], 1/62208], [[[1, 1], [2, 2], [3, 1], [6, 2], [12, 2], [15, 1]], 7/4976640], [[[1, 1], [2, 2], [3, 1], [6, 2], [12, 2], [20, 1]], 7/3317760], [[[1, 1], [2, 2], [3, 1], [6, 2], [12, 2], [24, 1]], 19/3981312], [[[1, 1], [2, 2], [3, 1], [6, 2], [12, 2], [30, 1]], 7/4976640], [[[1, 1], [2, 2], [3, 1], [6, 2], [15, 1], [20, 1]], 1/345600], [[[1, 1], [2, 2], [3, 1], [6, 2], [15, 1], [24, 1]], 1/414720], [[[1, 1], [2, 2], [3, 1], [6, 2], [15, 1], [30, 1]], 1/32400], [[[1, 1], [2, 2], [3, 1], [6, 2], [20, 1], [24, 1]], 1/276480], [[[1, 1], [2, 2], [3, 1], [6, 2], [20, 1], [30, 1]], 1/345600], [[[1, 1], [2, 2], [3, 1], [6, 2], [24, 1], [30, 1]], 1/414720], [[[1, 1], [2, 2], [3, 1], [6, 3], [8, 2], [9, 1]], 1/40310784], [[[1, 1], [2, 2], [3, 1], [6, 3], [8, 2], [18, 1]], 1/5971968], [[[1, 1], [2, 2], [3, 1], [6, 3], [9, 1], [10, 2]], 1/125971200], [[[1, 1], [2, 2], [3, 1], [6, 3], [9, 1], [12, 2]], 55/60466176], [[[1, 1], [2, 2], [3, 1], [6, 3], [9, 1], [15, 1]], 1/6298560], [[[1, 1], [2, 2], [3, 1], [6, 3], [9, 1], [20, 1]], 1/4199040], [[[1, 1], [2, 2], [3, 1], [6, 3], [9, 1], [24, 1]], 1/5038848], [[[1, 1], [2, 2], [3, 1], [6, 3], [9, 1], [30, 1]], 1/6298560], [[[1, 1], [2, 2], [3, 1], [6, 3], [10, 2], [18, 1]], 1/18662400], [[[1, 1], [2, 2], [3, 1], [6, 3], [12, 2], [18, 1]], 7/8957952], [[[1, 1], [2, 2], [3, 1], [6, 3], [15, 1], [18, 1]], 1/933120], [[[1, 1], [2, 2], [3, 1], [6, 3], [18, 1], [20, 1]], 1/622080], [[[1, 1], [2, 2], [3, 1], [6, 3], [18, 1], [24, 1]], 1/746496], [[[1, 1], [2, 2], [3, 1], [6, 3], [18, 1], [30, 1]], 1/933120], [[[1, 1], [2, 2], [3, 1], [6, 4], [7, 1], [9, 1]], 1/470292480], [[[1, 1], [2, 2], [3, 1], [6, 4], [8, 1], [10, 2]], 1/8957952000], [[[1, 1], [2, 2], [3, 1], [6, 4], [8, 1], [12, 2]], 271/4299816960], [[[1, 1], [2, 2], [3, 1], [6, 4], [8, 1], [15, 1]], 1/447897600], [[[1, 1], [2, 2], [3, 1], [6, 4], [8, 1], [20, 1]], 1/298598400], [[[1, 1], [2, 2], [3, 1], [6, 4], [8, 1], [24, 1]], 1/358318080], [[[1, 1], [2, 2], [3, 1], [6, 4], [8, 1], [30, 1]], 1/447897600], [[[1, 1], [2, 2], [3, 1], [6, 4], [8, 2], [12, 1]], 91/2866544640], [[[1, 1], [2, 2], [3, 1], [6, 4], [9, 1], [14, 1]], 1/235146240], [[[1, 1], [2, 2], [3, 1], [6, 4], [9, 1], [18, 1]], 1121/453496320], [[[1, 1], [2, 2], [3, 1], [6, 4], [10, 2], [12, 1]], 91/8957952000], [[[1, 1], [2, 2], [3, 1], [6, 4], [12, 1], [15, 1]], 91/447897600], [[[1, 1], [2, 2], [3, 1], [6, 4], [12, 1], [20, 1]], 91/298598400], [[[1, 1], [2, 2], [3, 1], [6, 4], [12, 1], [24, 1]], 91/358318080], [[[1, 1], [2, 2], [3, 1], [6, 4], [12, 1], [30, 1]], 91/447897600], [[[1, 1], [2, 2], [3, 1], [6, 5], [8, 1], [9, 1]], 1/806215680], [[[1, 1], [2, 2], [3, 1], [6, 5], [8, 1], [18, 1]], 1/806215680], [[[1, 1], [2, 2], [3, 1], [6, 5], [9, 1], [10, 1]], 1/503884800], [[[1, 1], [2, 2], [3, 1], [6, 5], [9, 1], [12, 1]], 11/604661760], [[[1, 1], [2, 2], [3, 1], [6, 5], [12, 1], [18, 1]], 91/806215680], [[[1, 1], [2, 2], [3, 1], [6, 6], [8, 1], [12, 1]], 1/4299816960], [[[1, 1], [2, 2], [3, 1], [7, 1], [8, 2], [9, 1]], 1/580608], [[[1, 1], [2, 2], [3, 1], [7, 1], [9, 1], [10, 2]], 1/1814400], [[[1, 1], [2, 2], [3, 1], [7, 1], [9, 1], [12, 2]], 1/870912], [[[1, 1], [2, 2], [3, 1], [7, 1], [9, 1], [15, 1]], 1/90720], [[[1, 1], [2, 2], [3, 1], [7, 1], [9, 1], [20, 1]], 1/60480], [[[1, 1], [2, 2], [3, 1], [7, 1], [9, 1], [24, 1]], 1/72576], [[[1, 1], [2, 2], [3, 1], [7, 1], [9, 1], [30, 1]], 1/90720], [[[1, 1], [2, 2], [3, 1], [8, 1], [10, 2], [12, 2]], 1/16588800], [[[1, 1], [2, 2], [3, 1], [8, 1], [10, 2], [15, 1]], 1/1728000], [[[1, 1], [2, 2], [3, 1], [8, 1], [10, 2], [20, 1]], 1/1152000], [[[1, 1], [2, 2], [3, 1], [8, 1], [10, 2], [24, 1]], 1/1382400], [[[1, 1], [2, 2], [3, 1], [8, 1], [10, 2], [30, 1]], 1/1728000], [[[1, 1], [2, 2], [3, 1], [8, 1], [12, 1], [36, 1]], 1/10368], [[[1, 1], [2, 2], [3, 1], [8, 1], [12, 2], [15, 1]], 1/829440], [[[1, 1], [2, 2], [3, 1], [8, 1], [12, 2], [20, 1]], 1/552960], [[[1, 1], [2, 2], [3, 1], [8, 1], [12, 2], [24, 1]], 13/663552], [[[1, 1], [2, 2], [3, 1], [8, 1], [12, 2], [30, 1]], 1/829440], [[[1, 1], [2, 2], [3, 1], [8, 1], [15, 1], [20, 1]], 1/57600], [[[1, 1], [2, 2], [3, 1], [8, 1], [15, 1], [24, 1]], 1/69120], [[[1, 1], [2, 2], [3, 1], [8, 1], [15, 1], [30, 1]], 1/5400], [[[1, 1], [2, 2], [3, 1], [8, 1], [20, 1], [24, 1]], 1/46080], [[[1, 1], [2, 2], [3, 1], [8, 1], [20, 1], [30, 1]], 1/57600], [[[1, 1], [2, 2], [3, 1], [8, 1], [24, 1], [30, 1]], 1/69120], [[[1, 1], [2, 2], [3, 1], [8, 2], [9, 1], [14, 1]], 1/290304], [[[1, 1], [2, 2], [3, 1], [8, 2], [9, 1], [18, 1]], 1/559872], [[[1, 1], [2, 2], [3, 1], [8, 2], [10, 2], [12, 1]], 1/11059200], [[[1, 1], [2, 2], [3, 1], [8, 2], [12, 1], [15, 1]], 1/552960], [[[1, 1], [2, 2], [3, 1], [8, 2], [12, 1], [20, 1]], 1/368640], [[[1, 1], [2, 2], [3, 1], [8, 2], [12, 1], [24, 1]], 11/147456], [[[1, 1], [2, 2], [3, 1], [8, 2], [12, 1], [30, 1]], 1/552960], [[[1, 1], [2, 2], [3, 1], [9, 1], [10, 2], [14, 1]], 1/907200], [[[1, 1], [2, 2], [3, 1], [9, 1], [10, 2], [18, 1]], 1/1749600], [[[1, 1], [2, 2], [3, 1], [9, 1], [12, 2], [14, 1]], 1/435456], [[[1, 1], [2, 2], [3, 1], [9, 1], [12, 2], [18, 1]], 1/839808], [[[1, 1], [2, 2], [3, 1], [9, 1], [14, 1], [15, 1]], 1/45360], [[[1, 1], [2, 2], [3, 1], [9, 1], [14, 1], [20, 1]], 1/30240], [[[1, 1], [2, 2], [3, 1], [9, 1], [14, 1], [24, 1]], 1/36288], [[[1, 1], [2, 2], [3, 1], [9, 1], [14, 1], [30, 1]], 1/45360], [[[1, 1], [2, 2], [3, 1], [9, 1], [15, 1], [18, 1]], 1/87480], [[[1, 1], [2, 2], [3, 1], [9, 1], [18, 1], [20, 1]], 1/58320], [[[1, 1], [2, 2], [3, 1], [9, 1], [18, 1], [24, 1]], 1/69984], [[[1, 1], [2, 2], [3, 1], [9, 1], [18, 1], [30, 1]], 1/87480], [[[1, 1], [2, 2], [3, 1], [10, 2], [12, 1], [15, 1]], 1/1728000], [[[1, 1], [2, 2], [3, 1], [10, 2], [12, 1], [20, 1]], 1/1152000], [[[1, 1], [2, 2], [3, 1], [10, 2], [12, 1], [24, 1]], 1/1382400], [[[1, 1], [2, 2], [3, 1], [10, 2], [12, 1], [30, 1]], 1/1728000], [[[1, 1], [2, 2], [3, 1], [12, 1], [15, 1], [20, 1]], 1/57600], [[[1, 1], [2, 2], [3, 1], [12, 1], [15, 1], [24, 1]], 1/69120], [[[1, 1], [2, 2], [3, 1], [12, 1], [15, 1], [30, 1]], 1/5400], [[[1, 1], [2, 2], [3, 1], [12, 1], [20, 1], [24, 1]], 1/46080], [[[1, 1], [2, 2], [3, 1], [12, 1], [20, 1], [30, 1]], 1/57600], [[[1, 1], [2, 2], [3, 1], [12, 1], [24, 1], [30, 1]], 1/69120], [[[1, 1], [2, 2], [3, 2], [4, 1], [5, 1], [6, 6]], 1/21499084800], [[[1, 1], [2, 2], [3, 2], [4, 1], [5, 1], [9, 2]], 1/466560], [[[1, 1], [2, 2], [3, 2], [4, 1], [5, 1], [12, 3]], 1/6635520], [[[1, 1], [2, 2], [3, 2], [4, 1], [5, 2], [12, 2]], 1/8294400], [[[1, 1], [2, 2], [3, 2], [4, 1], [5, 3], [6, 2]], 1/82944000], [[[1, 1], [2, 2], [3, 2], [4, 1], [5, 3], [12, 1]], 1/13824000], [[[1, 1], [2, 2], [3, 2], [4, 1], [6, 2], [8, 3]], 1/3145728], [[[1, 1], [2, 2], [3, 2], [4, 1], [6, 2], [10, 3]], 1/82944000], [[[1, 1], [2, 2], [3, 2], [4, 1], [6, 2], [12, 3]], 673/71663616], [[[1, 1], [2, 2], [3, 2], [4, 1], [6, 2], [28, 1]], 1/193536], [[[1, 1], [2, 2], [3, 2], [4, 1], [6, 2], [36, 1]], 1/248832], [[[1, 1], [2, 2], [3, 2], [4, 1], [6, 4], [12, 2]], 6571/2149908480], [[[1, 1], [2, 2], [3, 2], [4, 1], [6, 5], [9, 1]], 1/1209323520], [[[1, 1], [2, 2], [3, 2], [4, 1], [6, 6], [8, 1]], 11/68797071360], [[[1, 1], [2, 2], [3, 2], [4, 1], [6, 6], [10, 1]], 1/21499084800], [[[1, 1], [2, 2], [3, 2], [4, 1], [6, 6], [12, 1]], 73/12899450880], [[[1, 1], [2, 2], [3, 2], [4, 1], [8, 1], [9, 2]], 11/1492992], [[[1, 1], [2, 2], [3, 2], [4, 1], [8, 1], [12, 3]], 11/21233664], [[[1, 1], [2, 2], [3, 2], [4, 1], [8, 2], [12, 2]], 1/2654208], [[[1, 1], [2, 2], [3, 2], [4, 1], [8, 3], [12, 1]], 1/524288], [[[1, 1], [2, 2], [3, 2], [4, 1], [9, 2], [10, 1]], 1/466560], [[[1, 1], [2, 2], [3, 2], [4, 1], [9, 2], [12, 1]], 1/279936], [[[1, 1], [2, 2], [3, 2], [4, 1], [10, 1], [12, 3]], 1/6635520], [[[1, 1], [2, 2], [3, 2], [4, 1], [10, 2], [12, 2]], 1/8294400], [[[1, 1], [2, 2], [3, 2], [4, 1], [10, 3], [12, 1]], 1/13824000], [[[1, 1], [2, 2], [3, 2], [4, 1], [12, 1], [28, 1]], 1/32256], [[[1, 1], [2, 2], [3, 2], [4, 1], [12, 1], [36, 1]], 1/41472], [[[1, 1], [2, 2], [3, 2], [4, 1], [12, 2], [15, 1]], 1/414720], [[[1, 1], [2, 2], [3, 2], [4, 1], [12, 2], [16, 1]], 1/55296], [[[1, 1], [2, 2], [3, 2], [4, 1], [12, 2], [20, 1]], 1/55296], [[[1, 1], [2, 2], [3, 2], [4, 1], [12, 2], [24, 1]], 7/331776], [[[1, 1], [2, 2], [3, 2], [4, 1], [12, 2], [30, 1]], 1/414720], [[[1, 1], [2, 2], [3, 2], [4, 2], [5, 2], [6, 3]], 1/1194393600], [[[1, 1], [2, 2], [3, 2], [4, 2], [6, 1], [9, 2]], 1/6718464], [[[1, 1], [2, 2], [3, 2], [4, 2], [6, 1], [12, 3]], 809/859963392], [[[1, 1], [2, 2], [3, 2], [4, 2], [6, 1], [28, 1]], 1/24192], [[[1, 1], [2, 2], [3, 2], [4, 2], [6, 1], [36, 1]], 1/93312], [[[1, 1], [2, 2], [3, 2], [4, 2], [6, 3], [8, 2]], 1/382205952], [[[1, 1], [2, 2], [3, 2], [4, 2], [6, 3], [10, 2]], 1/1194393600], [[[1, 1], [2, 2], [3, 2], [4, 2], [6, 3], [12, 2]], 44047/5159780352], [[[1, 1], [2, 2], [3, 2], [4, 2], [6, 3], [15, 1]], 1/59719680], [[[1, 1], [2, 2], [3, 2], [4, 2], [6, 3], [20, 1]], 1/39813120], [[[1, 1], [2, 2], [3, 2], [4, 2], [6, 3], [24, 1]], 73/47775744], [[[1, 1], [2, 2], [3, 2], [4, 2], [6, 3], [30, 1]], 1/59719680], [[[1, 1], [2, 2], [3, 2], [4, 2], [6, 4], [18, 1]], 1/107495424], [[[1, 1], [2, 2], [3, 2], [4, 2], [6, 5], [12, 1]], 4733/30958682112], [[[1, 1], [2, 2], [3, 2], [4, 2], [7, 1], [12, 2]], 1/1161216], [[[1, 1], [2, 2], [3, 2], [4, 2], [9, 1], [12, 2]], 5/1492992], [[[1, 1], [2, 2], [3, 2], [4, 2], [12, 2], [14, 1]], 1/580608], [[[1, 1], [2, 2], [3, 2], [4, 2], [12, 2], [18, 1]], 1/1119744], [[[1, 1], [2, 2], [3, 2], [4, 3], [5, 1], [12, 2]], 1/1658880], [[[1, 1], [2, 2], [3, 2], [4, 3], [5, 2], [6, 2]], 1/1592524800], [[[1, 1], [2, 2], [3, 2], [4, 3], [5, 2], [12, 1]], 1/265420800], [[[1, 1], [2, 2], [3, 2], [4, 3], [6, 2], [8, 2]], 49/509607936], [[[1, 1], [2, 2], [3, 2], [4, 3], [6, 2], [10, 2]], 1/1592524800], [[[1, 1], [2, 2], [3, 2], [4, 3], [6, 2], [12, 2]], 18967/764411904], [[[1, 1], [2, 2], [3, 2], [4, 3], [6, 2], [15, 1]], 1/79626240], [[[1, 1], [2, 2], [3, 2], [4, 3], [6, 2], [16, 1]], 1/2654208], [[[1, 1], [2, 2], [3, 2], [4, 3], [6, 2], [20, 1]], 13/10616832], [[[1, 1], [2, 2], [3, 2], [4, 3], [6, 2], [24, 1]], 73/63700992], [[[1, 1], [2, 2], [3, 2], [4, 3], [6, 2], [30, 1]], 1/79626240], [[[1, 1], [2, 2], [3, 2], [4, 3], [6, 3], [18, 1]], 1/143327232], [[[1, 1], [2, 2], [3, 2], [4, 3], [6, 4], [12, 1]], 91/68797071360], [[[1, 1], [2, 2], [3, 2], [4, 3], [8, 1], [12, 2]], 35/5308416], [[[1, 1], [2, 2], [3, 2], [4, 3], [8, 2], [12, 1]], 49/84934656], [[[1, 1], [2, 2], [3, 2], [4, 3], [10, 1], [12, 2]], 1/1658880], [[[1, 1], [2, 2], [3, 2], [4, 3], [10, 2], [12, 1]], 1/265420800], [[[1, 1], [2, 2], [3, 2], [4, 3], [12, 1], [15, 1]], 1/13271040], [[[1, 1], [2, 2], [3, 2], [4, 3], [12, 1], [16, 1]], 1/442368], [[[1, 1], [2, 2], [3, 2], [4, 3], [12, 1], [20, 1]], 13/1769472], [[[1, 1], [2, 2], [3, 2], [4, 3], [12, 1], [24, 1]], 1/10616832], [[[1, 1], [2, 2], [3, 2], [4, 3], [12, 1], [30, 1]], 1/13271040], [[[1, 1], [2, 2], [3, 2], [4, 4], [5, 1], [9, 1]], 1/298598400], [[[1, 1], [2, 2], [3, 2], [4, 4], [5, 2], [6, 1]], 1/11943936000], [[[1, 1], [2, 2], [3, 2], [4, 4], [6, 1], [8, 2]], 241/3822059520], [[[1, 1], [2, 2], [3, 2], [4, 4], [6, 1], [10, 2]], 1/11943936000], [[[1, 1], [2, 2], [3, 2], [4, 4], [6, 1], [12, 2]], 4087/5733089280], [[[1, 1], [2, 2], [3, 2], [4, 4], [6, 1], [15, 1]], 1/597196800], [[[1, 1], [2, 2], [3, 2], [4, 4], [6, 1], [20, 1]], 77/79626240], [[[1, 1], [2, 2], [3, 2], [4, 4], [6, 1], [24, 1]], 1/477757440], [[[1, 1], [2, 2], [3, 2], [4, 4], [6, 1], [30, 1]], 1/597196800], [[[1, 1], [2, 2], [3, 2], [4, 4], [6, 2], [7, 1]], 1/4459069440], [[[1, 1], [2, 2], [3, 2], [4, 4], [6, 2], [9, 1]], 1/1146617856], [[[1, 1], [2, 2], [3, 2], [4, 4], [6, 2], [14, 1]], 1/2229534720], [[[1, 1], [2, 2], [3, 2], [4, 4], [6, 2], [18, 1]], 1/859963392], [[[1, 1], [2, 2], [3, 2], [4, 4], [6, 3], [8, 1]], 1/7644119040], [[[1, 1], [2, 2], [3, 2], [4, 4], [6, 3], [10, 1]], 1/4777574400], [[[1, 1], [2, 2], [3, 2], [4, 4], [6, 3], [12, 1]], 26299/51597803520], [[[1, 1], [2, 2], [3, 2], [4, 4], [7, 1], [12, 1]], 1/743178240], [[[1, 1], [2, 2], [3, 2], [4, 4], [8, 1], [9, 1]], 1/238878720], [[[1, 1], [2, 2], [3, 2], [4, 4], [9, 1], [12, 1]], 1/191102976], [[[1, 1], [2, 2], [3, 2], [4, 4], [12, 1], [14, 1]], 1/371589120], [[[1, 1], [2, 2], [3, 2], [4, 4], [12, 1], [18, 1]], 1/716636160], [[[1, 1], [2, 2], [3, 2], [4, 5], [5, 1], [6, 2]], 1/6370099200], [[[1, 1], [2, 2], [3, 2], [4, 5], [5, 1], [12, 1]], 1/1061683200], [[[1, 1], [2, 2], [3, 2], [4, 5], [6, 1], [9, 1]], 1/358318080], [[[1, 1], [2, 2], [3, 2], [4, 5], [6, 2], [8, 1]], 203/20384317440], [[[1, 1], [2, 2], [3, 2], [4, 5], [6, 2], [10, 1]], 1/6370099200], [[[1, 1], [2, 2], [3, 2], [4, 5], [6, 2], [12, 1]], 1597/3822059520], [[[1, 1], [2, 2], [3, 2], [4, 5], [8, 1], [12, 1]], 203/3397386240], [[[1, 1], [2, 2], [3, 2], [4, 5], [10, 1], [12, 1]], 1/1061683200], [[[1, 1], [2, 2], [3, 2], [4, 6], [6, 1], [12, 1]], 617/137594142720], [[[1, 1], [2, 2], [3, 2], [5, 1], [6, 4], [9, 1]], 1/1007769600], [[[1, 1], [2, 2], [3, 2], [5, 1], [8, 2], [9, 1]], 1/1244160], [[[1, 1], [2, 2], [3, 2], [5, 1], [9, 1], [10, 2]], 1/3888000], [[[1, 1], [2, 2], [3, 2], [5, 1], [9, 1], [12, 2]], 1/1866240], [[[1, 1], [2, 2], [3, 2], [5, 1], [9, 1], [15, 1]], 1/194400], [[[1, 1], [2, 2], [3, 2], [5, 1], [9, 1], [20, 1]], 1/129600], [[[1, 1], [2, 2], [3, 2], [5, 1], [9, 1], [24, 1]], 1/155520], [[[1, 1], [2, 2], [3, 2], [5, 1], [9, 1], [30, 1]], 1/194400], [[[1, 1], [2, 2], [3, 2], [5, 2], [6, 1], [8, 2]], 1/49766400], [[[1, 1], [2, 2], [3, 2], [5, 2], [6, 1], [10, 2]], 301/155520000], [[[1, 1], [2, 2], [3, 2], [5, 2], [6, 1], [12, 2]], 7/74649600], [[[1, 1], [2, 2], [3, 2], [5, 2], [6, 1], [15, 1]], 1/7776000], [[[1, 1], [2, 2], [3, 2], [5, 2], [6, 1], [20, 1]], 1/5184000], [[[1, 1], [2, 2], [3, 2], [5, 2], [6, 1], [24, 1]], 1/6220800], [[[1, 1], [2, 2], [3, 2], [5, 2], [6, 1], [30, 1]], 1/7776000], [[[1, 1], [2, 2], [3, 2], [5, 2], [6, 2], [7, 1]], 1/58060800], [[[1, 1], [2, 2], [3, 2], [5, 2], [6, 2], [9, 1]], 1/14929920], [[[1, 1], [2, 2], [3, 2], [5, 2], [6, 2], [14, 1]], 1/29030400], [[[1, 1], [2, 2], [3, 2], [5, 2], [6, 2], [18, 1]], 1/11197440], [[[1, 1], [2, 2], [3, 2], [5, 2], [6, 3], [8, 1]], 1/99532800], [[[1, 1], [2, 2], [3, 2], [5, 2], [6, 3], [10, 1]], 1/62208000], [[[1, 1], [2, 2], [3, 2], [5, 2], [6, 3], [12, 1]], 19/671846400], [[[1, 1], [2, 2], [3, 2], [5, 2], [7, 1], [12, 1]], 1/9676800], [[[1, 1], [2, 2], [3, 2], [5, 2], [8, 1], [9, 1]], 1/3110400], [[[1, 1], [2, 2], [3, 2], [5, 2], [9, 1], [12, 1]], 1/2488320], [[[1, 1], [2, 2], [3, 2], [5, 2], [12, 1], [14, 1]], 1/4838400], [[[1, 1], [2, 2], [3, 2], [5, 2], [12, 1], [18, 1]], 1/9331200], [[[1, 1], [2, 2], [3, 2], [6, 1], [8, 1], [9, 2]], 1/559872], [[[1, 1], [2, 2], [3, 2], [6, 1], [8, 1], [12, 3]], 1/7962624], [[[1, 1], [2, 2], [3, 2], [6, 1], [8, 2], [10, 2]], 1/49766400], [[[1, 1], [2, 2], [3, 2], [6, 1], [8, 2], [12, 2]], 7/23887872], [[[1, 1], [2, 2], [3, 2], [6, 1], [8, 2], [15, 1]], 1/2488320], [[[1, 1], [2, 2], [3, 2], [6, 1], [8, 2], [20, 1]], 1/1658880], [[[1, 1], [2, 2], [3, 2], [6, 1], [8, 2], [24, 1]], 11/663552], [[[1, 1], [2, 2], [3, 2], [6, 1], [8, 2], [30, 1]], 1/2488320], [[[1, 1], [2, 2], [3, 2], [6, 1], [8, 3], [12, 1]], 1/5308416], [[[1, 1], [2, 2], [3, 2], [6, 1], [9, 2], [10, 1]], 1/349920], [[[1, 1], [2, 2], [3, 2], [6, 1], [9, 2], [12, 1]], 1/419904], [[[1, 1], [2, 2], [3, 2], [6, 1], [10, 1], [12, 3]], 1/4976640], [[[1, 1], [2, 2], [3, 2], [6, 1], [10, 2], [12, 2]], 7/74649600], [[[1, 1], [2, 2], [3, 2], [6, 1], [10, 2], [15, 1]], 1/7776000], [[[1, 1], [2, 2], [3, 2], [6, 1], [10, 2], [20, 1]], 1/5184000], [[[1, 1], [2, 2], [3, 2], [6, 1], [10, 2], [24, 1]], 1/6220800], [[[1, 1], [2, 2], [3, 2], [6, 1], [10, 2], [30, 1]], 1/7776000], [[[1, 1], [2, 2], [3, 2], [6, 1], [10, 3], [12, 1]], 1/10368000], [[[1, 1], [2, 2], [3, 2], [6, 1], [12, 1], [18, 2]], 1/839808], [[[1, 1], [2, 2], [3, 2], [6, 1], [12, 1], [36, 1]], 1/46656], [[[1, 1], [2, 2], [3, 2], [6, 1], [12, 2], [15, 1]], 7/3732480], [[[1, 1], [2, 2], [3, 2], [6, 1], [12, 2], [20, 1]], 7/2488320], [[[1, 1], [2, 2], [3, 2], [6, 1], [12, 2], [24, 1]], 19/2985984], [[[1, 1], [2, 2], [3, 2], [6, 1], [12, 2], [30, 1]], 7/3732480], [[[1, 1], [2, 2], [3, 2], [6, 1], [15, 1], [20, 1]], 1/259200], [[[1, 1], [2, 2], [3, 2], [6, 1], [15, 1], [24, 1]], 1/311040], [[[1, 1], [2, 2], [3, 2], [6, 1], [15, 1], [30, 1]], 1/24300], [[[1, 1], [2, 2], [3, 2], [6, 1], [20, 1], [24, 1]], 1/207360], [[[1, 1], [2, 2], [3, 2], [6, 1], [20, 1], [30, 1]], 1/259200], [[[1, 1], [2, 2], [3, 2], [6, 1], [24, 1], [30, 1]], 1/311040], [[[1, 1], [2, 2], [3, 2], [6, 2], [7, 1], [8, 2]], 1/18579456], [[[1, 1], [2, 2], [3, 2], [6, 2], [7, 1], [10, 2]], 1/58060800], [[[1, 1], [2, 2], [3, 2], [6, 2], [7, 1], [12, 2]], 151/27869184], [[[1, 1], [2, 2], [3, 2], [6, 2], [7, 1], [15, 1]], 1/2903040], [[[1, 1], [2, 2], [3, 2], [6, 2], [7, 1], [20, 1]], 1/1935360], [[[1, 1], [2, 2], [3, 2], [6, 2], [7, 1], [24, 1]], 73/2322432], [[[1, 1], [2, 2], [3, 2], [6, 2], [7, 1], [30, 1]], 1/2903040], [[[1, 1], [2, 2], [3, 2], [6, 2], [8, 2], [9, 1]], 5/23887872], [[[1, 1], [2, 2], [3, 2], [6, 2], [8, 2], [14, 1]], 1/9289728], [[[1, 1], [2, 2], [3, 2], [6, 2], [8, 2], [18, 1]], 5/17915904], [[[1, 1], [2, 2], [3, 2], [6, 2], [9, 1], [10, 2]], 1/14929920], [[[1, 1], [2, 2], [3, 2], [6, 2], [9, 1], [12, 2]], 179/35831808], [[[1, 1], [2, 2], [3, 2], [6, 2], [9, 1], [15, 1]], 1/746496], [[[1, 1], [2, 2], [3, 2], [6, 2], [9, 1], [20, 1]], 1/497664], [[[1, 1], [2, 2], [3, 2], [6, 2], [9, 1], [24, 1]], 77/2985984], [[[1, 1], [2, 2], [3, 2], [6, 2], [9, 1], [30, 1]], 1/746496], [[[1, 1], [2, 2], [3, 2], [6, 2], [10, 2], [14, 1]], 1/29030400], [[[1, 1], [2, 2], [3, 2], [6, 2], [10, 2], [18, 1]], 1/11197440], [[[1, 1], [2, 2], [3, 2], [6, 2], [12, 2], [14, 1]], 151/13934592], [[[1, 1], [2, 2], [3, 2], [6, 2], [12, 2], [18, 1]], 179/26873856], [[[1, 1], [2, 2], [3, 2], [6, 2], [14, 1], [15, 1]], 1/1451520], [[[1, 1], [2, 2], [3, 2], [6, 2], [14, 1], [20, 1]], 1/967680], [[[1, 1], [2, 2], [3, 2], [6, 2], [14, 1], [24, 1]], 73/1161216], [[[1, 1], [2, 2], [3, 2], [6, 2], [14, 1], [30, 1]], 1/1451520], [[[1, 1], [2, 2], [3, 2], [6, 2], [15, 1], [18, 1]], 1/559872], [[[1, 1], [2, 2], [3, 2], [6, 2], [18, 1], [20, 1]], 1/373248], [[[1, 1], [2, 2], [3, 2], [6, 2], [18, 1], [24, 1]], 77/2239488], [[[1, 1], [2, 2], [3, 2], [6, 2], [18, 1], [30, 1]], 1/559872], [[[1, 1], [2, 2], [3, 2], [6, 3], [7, 1], [18, 1]], 1/5225472], [[[1, 1], [2, 2], [3, 2], [6, 3], [8, 1], [10, 2]], 1/99532800], [[[1, 1], [2, 2], [3, 2], [6, 3], [8, 1], [12, 2]], 151/47775744], [[[1, 1], [2, 2], [3, 2], [6, 3], [8, 1], [15, 1]], 1/4976640], [[[1, 1], [2, 2], [3, 2], [6, 3], [8, 1], [20, 1]], 1/3317760], [[[1, 1], [2, 2], [3, 2], [6, 3], [8, 1], [24, 1]], 73/3981312], [[[1, 1], [2, 2], [3, 2], [6, 3], [8, 1], [30, 1]], 1/4976640], [[[1, 1], [2, 2], [3, 2], [6, 3], [8, 2], [10, 1]], 1/19906560], [[[1, 1], [2, 2], [3, 2], [6, 3], [8, 2], [12, 1]], 19/214990848], [[[1, 1], [2, 2], [3, 2], [6, 3], [9, 1], [18, 1]], 113/6718464], [[[1, 1], [2, 2], [3, 2], [6, 3], [10, 1], [12, 2]], 151/29859840], [[[1, 1], [2, 2], [3, 2], [6, 3], [10, 1], [15, 1]], 1/3110400], [[[1, 1], [2, 2], [3, 2], [6, 3], [10, 1], [20, 1]], 1/2073600], [[[1, 1], [2, 2], [3, 2], [6, 3], [10, 1], [24, 1]], 73/2488320], [[[1, 1], [2, 2], [3, 2], [6, 3], [10, 1], [30, 1]], 1/3110400], [[[1, 1], [2, 2], [3, 2], [6, 3], [10, 2], [12, 1]], 19/671846400], [[[1, 1], [2, 2], [3, 2], [6, 3], [12, 1], [15, 1]], 19/33592320], [[[1, 1], [2, 2], [3, 2], [6, 3], [12, 1], [20, 1]], 19/22394880], [[[1, 1], [2, 2], [3, 2], [6, 3], [12, 1], [24, 1]], 667/26873856], [[[1, 1], [2, 2], [3, 2], [6, 3], [12, 1], [30, 1]], 19/33592320], [[[1, 1], [2, 2], [3, 2], [6, 3], [14, 1], [18, 1]], 1/2612736], [[[1, 1], [2, 2], [3, 2], [6, 4], [7, 1], [12, 1]], 13/358318080], [[[1, 1], [2, 2], [3, 2], [6, 4], [8, 1], [9, 1]], 1/806215680], [[[1, 1], [2, 2], [3, 2], [6, 4], [8, 1], [18, 1]], 1/8957952], [[[1, 1], [2, 2], [3, 2], [6, 4], [9, 1], [12, 1]], 91/644972544], [[[1, 1], [2, 2], [3, 2], [6, 4], [10, 1], [18, 1]], 1/5598720], [[[1, 1], [2, 2], [3, 2], [6, 4], [12, 1], [14, 1]], 13/179159040], [[[1, 1], [2, 2], [3, 2], [6, 4], [12, 1], [18, 1]], 851/2418647040], [[[1, 1], [2, 2], [3, 2], [6, 5], [8, 1], [12, 1]], 91/4299816960], [[[1, 1], [2, 2], [3, 2], [6, 5], [10, 1], [12, 1]], 91/2687385600], [[[1, 1], [2, 2], [3, 2], [7, 1], [8, 2], [12, 1]], 1/3096576], [[[1, 1], [2, 2], [3, 2], [7, 1], [10, 2], [12, 1]], 1/9676800], [[[1, 1], [2, 2], [3, 2], [7, 1], [12, 1], [15, 1]], 1/483840], [[[1, 1], [2, 2], [3, 2], [7, 1], [12, 1], [20, 1]], 1/322560], [[[1, 1], [2, 2], [3, 2], [7, 1], [12, 1], [24, 1]], 1/387072], [[[1, 1], [2, 2], [3, 2], [7, 1], [12, 1], [30, 1]], 1/483840], [[[1, 1], [2, 2], [3, 2], [8, 1], [9, 1], [10, 2]], 1/3110400], [[[1, 1], [2, 2], [3, 2], [8, 1], [9, 1], [12, 2]], 1/1492992], [[[1, 1], [2, 2], [3, 2], [8, 1], [9, 1], [15, 1]], 1/155520], [[[1, 1], [2, 2], [3, 2], [8, 1], [9, 1], [20, 1]], 1/103680], [[[1, 1], [2, 2], [3, 2], [8, 1], [9, 1], [24, 1]], 1/124416], [[[1, 1], [2, 2], [3, 2], [8, 1], [9, 1], [30, 1]], 1/155520], [[[1, 1], [2, 2], [3, 2], [8, 2], [9, 1], [12, 1]], 5/3981312], [[[1, 1], [2, 2], [3, 2], [8, 2], [12, 1], [14, 1]], 1/1548288], [[[1, 1], [2, 2], [3, 2], [8, 2], [12, 1], [18, 1]], 1/2985984], [[[1, 1], [2, 2], [3, 2], [9, 1], [10, 2], [12, 1]], 1/2488320], [[[1, 1], [2, 2], [3, 2], [9, 1], [12, 1], [15, 1]], 1/124416], [[[1, 1], [2, 2], [3, 2], [9, 1], [12, 1], [20, 1]], 1/82944], [[[1, 1], [2, 2], [3, 2], [9, 1], [12, 1], [24, 1]], 5/497664], [[[1, 1], [2, 2], [3, 2], [9, 1], [12, 1], [30, 1]], 1/124416], [[[1, 1], [2, 2], [3, 2], [10, 2], [12, 1], [14, 1]], 1/4838400], [[[1, 1], [2, 2], [3, 2], [10, 2], [12, 1], [18, 1]], 1/9331200], [[[1, 1], [2, 2], [3, 2], [12, 1], [14, 1], [15, 1]], 1/241920], [[[1, 1], [2, 2], [3, 2], [12, 1], [14, 1], [20, 1]], 1/161280], [[[1, 1], [2, 2], [3, 2], [12, 1], [14, 1], [24, 1]], 1/193536], [[[1, 1], [2, 2], [3, 2], [12, 1], [14, 1], [30, 1]], 1/241920], [[[1, 1], [2, 2], [3, 2], [12, 1], [15, 1], [18, 1]], 1/466560], [[[1, 1], [2, 2], [3, 2], [12, 1], [18, 1], [20, 1]], 1/311040], [[[1, 1], [2, 2], [3, 2], [12, 1], [18, 1], [24, 1]], 1/373248], [[[1, 1], [2, 2], [3, 2], [12, 1], [18, 1], [30, 1]], 1/466560], [[[1, 1], [2, 2], [3, 3], [4, 1], [5, 2], [6, 3]], 1/5971968], [[[1, 1], [2, 2], [3, 3], [4, 1], [6, 1], [9, 2]], 1/839808], [[[1, 1], [2, 2], [3, 3], [4, 1], [6, 1], [12, 3]], 37/11943936], [[[1, 1], [2, 2], [3, 3], [4, 1], [6, 3], [8, 2]], 25/47775744], [[[1, 1], [2, 2], [3, 3], [4, 1], [6, 3], [10, 2]], 1/5971968], [[[1, 1], [2, 2], [3, 3], [4, 1], [6, 3], [12, 2]], 211/71663616], [[[1, 1], [2, 2], [3, 3], [4, 1], [6, 3], [15, 1]], 5/1492992], [[[1, 1], [2, 2], [3, 3], [4, 1], [6, 3], [16, 1]], 1/331776], [[[1, 1], [2, 2], [3, 3], [4, 1], [6, 3], [20, 1]], 5/995328], [[[1, 1], [2, 2], [3, 3], [4, 1], [6, 3], [24, 1]], 115/5971968], [[[1, 1], [2, 2], [3, 3], [4, 1], [6, 3], [30, 1]], 5/1492992], [[[1, 1], [2, 2], [3, 3], [4, 1], [6, 4], [18, 1]], 25/13436928], [[[1, 1], [2, 2], [3, 3], [4, 1], [6, 5], [12, 1]], 2251/6449725440], [[[1, 1], [2, 2], [3, 3], [4, 1], [9, 1], [12, 2]], 1/746496], [[[1, 1], [2, 2], [3, 3], [4, 2], [5, 1], [12, 2]], 1/2488320], [[[1, 1], [2, 2], [3, 3], [4, 2], [5, 2], [12, 1]], 1/223948800], [[[1, 1], [2, 2], [3, 3], [4, 2], [6, 2], [12, 2]], 667/107495424], [[[1, 1], [2, 2], [3, 3], [4, 2], [6, 3], [9, 1]], 1/107495424], [[[1, 1], [2, 2], [3, 3], [4, 2], [6, 4], [12, 1]], 59131/58047528960], [[[1, 1], [2, 2], [3, 3], [4, 2], [8, 1], [12, 2]], 1/1990656], [[[1, 1], [2, 2], [3, 3], [4, 2], [8, 1], [16, 1]], 1/1327104], [[[1, 1], [2, 2], [3, 3], [4, 2], [8, 2], [12, 1]], 13/71663616], [[[1, 1], [2, 2], [3, 3], [4, 2], [10, 2], [12, 1]], 1/223948800], [[[1, 1], [2, 2], [3, 3], [4, 2], [12, 1], [15, 1]], 1/11197440], [[[1, 1], [2, 2], [3, 3], [4, 2], [12, 1], [20, 1]], 13/7464960], [[[1, 1], [2, 2], [3, 3], [4, 2], [12, 1], [24, 1]], 7/8957952], [[[1, 1], [2, 2], [3, 3], [4, 2], [12, 1], [30, 1]], 1/11197440], [[[1, 1], [2, 2], [3, 3], [4, 3], [6, 1], [12, 2]], 19/2985984], [[[1, 1], [2, 2], [3, 3], [4, 3], [6, 2], [9, 1]], 1/143327232], [[[1, 1], [2, 2], [3, 3], [4, 3], [6, 3], [8, 1]], 1/3981312], [[[1, 1], [2, 2], [3, 3], [4, 3], [6, 3], [12, 1]], 115/17915904], [[[1, 1], [2, 2], [3, 3], [4, 3], [9, 1], [12, 1]], 1/23887872], [[[1, 1], [2, 2], [3, 3], [4, 4], [5, 1], [6, 2]], 1/9555148800], [[[1, 1], [2, 2], [3, 3], [4, 4], [5, 1], [12, 1]], 1/1592524800], [[[1, 1], [2, 2], [3, 3], [4, 4], [6, 1], [9, 1]], 1/1074954240], [[[1, 1], [2, 2], [3, 3], [4, 4], [6, 1], [18, 1]], 1/12899450880], [[[1, 1], [2, 2], [3, 3], [4, 4], [6, 2], [8, 1]], 1/7644119040], [[[1, 1], [2, 2], [3, 3], [4, 4], [6, 2], [12, 1]], 19/68797071360], [[[1, 1], [2, 2], [3, 3], [4, 4], [8, 1], [12, 1]], 1/1274019840], [[[1, 1], [2, 2], [3, 3], [4, 5], [6, 1], [12, 1]], 1/1911029760], [[[1, 1], [2, 2], [3, 3], [5, 1], [6, 2], [8, 2]], 1/39813120], [[[1, 1], [2, 2], [3, 3], [5, 1], [6, 2], [10, 2]], 1/124416000], [[[1, 1], [2, 2], [3, 3], [5, 1], [6, 2], [12, 2]], 151/59719680], [[[1, 1], [2, 2], [3, 3], [5, 1], [6, 2], [15, 1]], 1/6220800], [[[1, 1], [2, 2], [3, 3], [5, 1], [6, 2], [20, 1]], 1/4147200], [[[1, 1], [2, 2], [3, 3], [5, 1], [6, 2], [24, 1]], 73/4976640], [[[1, 1], [2, 2], [3, 3], [5, 1], [6, 2], [30, 1]], 1/6220800], [[[1, 1], [2, 2], [3, 3], [5, 1], [6, 3], [18, 1]], 1/11197440], [[[1, 1], [2, 2], [3, 3], [5, 1], [6, 4], [12, 1]], 91/5374771200], [[[1, 1], [2, 2], [3, 3], [5, 1], [8, 2], [12, 1]], 1/6635520], [[[1, 1], [2, 2], [3, 3], [5, 1], [10, 2], [12, 1]], 1/20736000], [[[1, 1], [2, 2], [3, 3], [5, 1], [12, 1], [15, 1]], 1/1036800], [[[1, 1], [2, 2], [3, 3], [5, 1], [12, 1], [20, 1]], 1/691200], [[[1, 1], [2, 2], [3, 3], [5, 1], [12, 1], [24, 1]], 1/829440], [[[1, 1], [2, 2], [3, 3], [5, 1], [12, 1], [30, 1]], 1/1036800], [[[1, 1], [2, 2], [3, 3], [5, 2], [6, 1], [9, 1]], 1/13996800], [[[1, 1], [2, 2], [3, 3], [5, 2], [6, 1], [18, 1]], 1/167961600], [[[1, 1], [2, 2], [3, 3], [5, 2], [6, 2], [8, 1]], 1/99532800], [[[1, 1], [2, 2], [3, 3], [5, 2], [6, 2], [12, 1]], 19/895795200], [[[1, 1], [2, 2], [3, 3], [5, 2], [8, 1], [12, 1]], 1/16588800], [[[1, 1], [2, 2], [3, 3], [6, 1], [8, 2], [9, 1]], 1/4478976], [[[1, 1], [2, 2], [3, 3], [6, 1], [8, 2], [18, 1]], 1/53747712], [[[1, 1], [2, 2], [3, 3], [6, 1], [9, 1], [10, 2]], 1/13996800], [[[1, 1], [2, 2], [3, 3], [6, 1], [9, 1], [12, 2]], 7/6718464], [[[1, 1], [2, 2], [3, 3], [6, 1], [9, 1], [15, 1]], 1/699840], [[[1, 1], [2, 2], [3, 3], [6, 1], [9, 1], [20, 1]], 1/466560], [[[1, 1], [2, 2], [3, 3], [6, 1], [9, 1], [24, 1]], 1/559872], [[[1, 1], [2, 2], [3, 3], [6, 1], [9, 1], [30, 1]], 1/699840], [[[1, 1], [2, 2], [3, 3], [6, 1], [10, 2], [18, 1]], 1/167961600], [[[1, 1], [2, 2], [3, 3], [6, 1], [12, 2], [18, 1]], 55/80621568], [[[1, 1], [2, 2], [3, 3], [6, 1], [15, 1], [18, 1]], 1/8398080], [[[1, 1], [2, 2], [3, 3], [6, 1], [18, 1], [20, 1]], 1/5598720], [[[1, 1], [2, 2], [3, 3], [6, 1], [18, 1], [24, 1]], 1/6718464], [[[1, 1], [2, 2], [3, 3], [6, 1], [18, 1], [30, 1]], 1/8398080], [[[1, 1], [2, 2], [3, 3], [6, 2], [7, 1], [9, 1]], 1/5225472], [[[1, 1], [2, 2], [3, 3], [6, 2], [8, 1], [10, 2]], 1/99532800], [[[1, 1], [2, 2], [3, 3], [6, 2], [8, 1], [12, 2]], 151/47775744], [[[1, 1], [2, 2], [3, 3], [6, 2], [8, 1], [15, 1]], 1/4976640], [[[1, 1], [2, 2], [3, 3], [6, 2], [8, 1], [20, 1]], 1/3317760], [[[1, 1], [2, 2], [3, 3], [6, 2], [8, 1], [24, 1]], 73/3981312], [[[1, 1], [2, 2], [3, 3], [6, 2], [8, 1], [30, 1]], 1/4976640], [[[1, 1], [2, 2], [3, 3], [6, 2], [8, 2], [12, 1]], 19/286654464], [[[1, 1], [2, 2], [3, 3], [6, 2], [9, 1], [14, 1]], 1/2612736], [[[1, 1], [2, 2], [3, 3], [6, 2], [9, 1], [18, 1]], 113/5038848], [[[1, 1], [2, 2], [3, 3], [6, 2], [10, 2], [12, 1]], 19/895795200], [[[1, 1], [2, 2], [3, 3], [6, 2], [12, 1], [15, 1]], 19/44789760], [[[1, 1], [2, 2], [3, 3], [6, 2], [12, 1], [20, 1]], 19/29859840], [[[1, 1], [2, 2], [3, 3], [6, 2], [12, 1], [24, 1]], 667/35831808], [[[1, 1], [2, 2], [3, 3], [6, 2], [12, 1], [30, 1]], 19/44789760], [[[1, 1], [2, 2], [3, 3], [6, 3], [8, 1], [9, 1]], 1/8957952], [[[1, 1], [2, 2], [3, 3], [6, 3], [8, 1], [18, 1]], 1/8957952], [[[1, 1], [2, 2], [3, 3], [6, 3], [9, 1], [10, 1]], 1/5598720], [[[1, 1], [2, 2], [3, 3], [6, 3], [9, 1], [12, 1]], 19/60466176], [[[1, 1], [2, 2], [3, 3], [6, 3], [12, 1], [18, 1]], 19/80621568], [[[1, 1], [2, 2], [3, 3], [6, 4], [8, 1], [12, 1]], 91/4299816960], [[[1, 1], [2, 2], [3, 3], [7, 1], [9, 1], [12, 1]], 1/870912], [[[1, 1], [2, 2], [3, 3], [8, 1], [10, 2], [12, 1]], 1/16588800], [[[1, 1], [2, 2], [3, 3], [8, 1], [12, 1], [15, 1]], 1/829440], [[[1, 1], [2, 2], [3, 3], [8, 1], [12, 1], [20, 1]], 1/552960], [[[1, 1], [2, 2], [3, 3], [8, 1], [12, 1], [24, 1]], 1/663552], [[[1, 1], [2, 2], [3, 3], [8, 1], [12, 1], [30, 1]], 1/829440], [[[1, 1], [2, 2], [3, 3], [9, 1], [12, 1], [14, 1]], 1/435456], [[[1, 1], [2, 2], [3, 3], [9, 1], [12, 1], [18, 1]], 1/839808], [[[1, 1], [2, 2], [3, 4], [4, 1], [5, 1], [6, 4]], 81811/1934917632000], [[[1, 1], [2, 2], [3, 4], [4, 1], [5, 1], [8, 2]], 1/2388787200], [[[1, 1], [2, 2], [3, 4], [4, 1], [5, 1], [10, 2]], 1/7464960000], [[[1, 1], [2, 2], [3, 4], [4, 1], [5, 1], [12, 2]], 271/3583180800], [[[1, 1], [2, 2], [3, 4], [4, 1], [5, 1], [15, 1]], 1/373248000], [[[1, 1], [2, 2], [3, 4], [4, 1], [5, 1], [20, 1]], 1/248832000], [[[1, 1], [2, 2], [3, 4], [4, 1], [5, 1], [24, 1]], 1/298598400], [[[1, 1], [2, 2], [3, 4], [4, 1], [5, 1], [30, 1]], 1/373248000], [[[1, 1], [2, 2], [3, 4], [4, 1], [5, 2], [8, 1]], 11/23887872000], [[[1, 1], [2, 2], [3, 4], [4, 1], [5, 2], [10, 1]], 1/7464960000], [[[1, 1], [2, 2], [3, 4], [4, 1], [5, 2], [12, 1]], 1/4478976000], [[[1, 1], [2, 2], [3, 4], [4, 1], [6, 2], [12, 2]], 6571/2149908480], [[[1, 1], [2, 2], [3, 4], [4, 1], [6, 3], [9, 1]], 25/13436928], [[[1, 1], [2, 2], [3, 4], [4, 1], [6, 4], [8, 1]], 899921/6191736422400], [[[1, 1], [2, 2], [3, 4], [4, 1], [6, 4], [10, 1]], 81811/1934917632000], [[[1, 1], [2, 2], [3, 4], [4, 1], [6, 4], [12, 1]], 665011/1160950579200], [[[1, 1], [2, 2], [3, 4], [4, 1], [7, 1], [14, 1]], 1/17418240], [[[1, 1], [2, 2], [3, 4], [4, 1], [8, 1], [10, 2]], 11/23887872000], [[[1, 1], [2, 2], [3, 4], [4, 1], [8, 1], [12, 2]], 2981/11466178560], [[[1, 1], [2, 2], [3, 4], [4, 1], [8, 1], [15, 1]], 11/1194393600], [[[1, 1], [2, 2], [3, 4], [4, 1], [8, 1], [16, 1]], 1/7962624], [[[1, 1], [2, 2], [3, 4], [4, 1], [8, 1], [20, 1]], 43/796262400], [[[1, 1], [2, 2], [3, 4], [4, 1], [8, 1], [24, 1]], 5/63700992], [[[1, 1], [2, 2], [3, 4], [4, 1], [8, 1], [30, 1]], 11/1194393600], [[[1, 1], [2, 2], [3, 4], [4, 1], [8, 2], [10, 1]], 1/2388787200], [[[1, 1], [2, 2], [3, 4], [4, 1], [8, 2], [12, 1]], 1/1433272320], [[[1, 1], [2, 2], [3, 4], [4, 1], [9, 1], [18, 1]], 1/22394880], [[[1, 1], [2, 2], [3, 4], [4, 1], [10, 1], [12, 2]], 271/3583180800], [[[1, 1], [2, 2], [3, 4], [4, 1], [10, 1], [15, 1]], 1/373248000], [[[1, 1], [2, 2], [3, 4], [4, 1], [10, 1], [20, 1]], 1/248832000], [[[1, 1], [2, 2], [3, 4], [4, 1], [10, 1], [24, 1]], 1/298598400], [[[1, 1], [2, 2], [3, 4], [4, 1], [10, 1], [30, 1]], 1/373248000], [[[1, 1], [2, 2], [3, 4], [4, 1], [10, 2], [12, 1]], 1/4478976000], [[[1, 1], [2, 2], [3, 4], [4, 1], [12, 1], [15, 1]], 1/223948800], [[[1, 1], [2, 2], [3, 4], [4, 1], [12, 1], [16, 1]], 1/29859840], [[[1, 1], [2, 2], [3, 4], [4, 1], [12, 1], [20, 1]], 1/29859840], [[[1, 1], [2, 2], [3, 4], [4, 1], [12, 1], [24, 1]], 7/179159040], [[[1, 1], [2, 2], [3, 4], [4, 1], [12, 1], [30, 1]], 1/223948800], [[[1, 1], [2, 2], [3, 4], [4, 2], [5, 2], [6, 1]], 1/107495424000], [[[1, 1], [2, 2], [3, 4], [4, 2], [6, 1], [8, 2]], 1/34398535680], [[[1, 1], [2, 2], [3, 4], [4, 2], [6, 1], [10, 2]], 1/107495424000], [[[1, 1], [2, 2], [3, 4], [4, 2], [6, 1], [12, 2]], 1219/10319560704], [[[1, 1], [2, 2], [3, 4], [4, 2], [6, 1], [15, 1]], 1/5374771200], [[[1, 1], [2, 2], [3, 4], [4, 2], [6, 1], [20, 1]], 1/3583180800], [[[1, 1], [2, 2], [3, 4], [4, 2], [6, 1], [24, 1]], 1/4299816960], [[[1, 1], [2, 2], [3, 4], [4, 2], [6, 1], [30, 1]], 1/5374771200], [[[1, 1], [2, 2], [3, 4], [4, 2], [6, 2], [18, 1]], 1/9674588160], [[[1, 1], [2, 2], [3, 4], [4, 2], [6, 3], [12, 1]], 1894649/1393140695040], [[[1, 1], [2, 2], [3, 4], [4, 2], [7, 1], [12, 1]], 1/627056640], [[[1, 1], [2, 2], [3, 4], [4, 2], [9, 1], [12, 1]], 41/806215680], [[[1, 1], [2, 2], [3, 4], [4, 2], [12, 1], [14, 1]], 1/313528320], [[[1, 1], [2, 2], [3, 4], [4, 2], [12, 1], [18, 1]], 1/604661760], [[[1, 1], [2, 2], [3, 4], [4, 3], [5, 1], [12, 1]], 1/895795200], [[[1, 1], [2, 2], [3, 4], [4, 3], [6, 1], [18, 1]], 1/12899450880], [[[1, 1], [2, 2], [3, 4], [4, 3], [6, 2], [12, 1]], 91/68797071360], [[[1, 1], [2, 2], [3, 4], [4, 3], [8, 1], [12, 1]], 7/573308928], [[[1, 1], [2, 2], [3, 4], [4, 3], [10, 1], [12, 1]], 1/895795200], [[[1, 1], [2, 2], [3, 4], [4, 4], [6, 1], [8, 1]], 1/687970713600], [[[1, 1], [2, 2], [3, 4], [4, 4], [6, 1], [10, 1]], 1/429981696000], [[[1, 1], [2, 2], [3, 4], [4, 4], [6, 1], [12, 1]], 131/515978035200], [[[1, 1], [2, 2], [3, 4], [5, 1], [6, 2], [9, 1]], 1/11197440], [[[1, 1], [2, 2], [3, 4], [5, 1], [9, 1], [12, 1]], 1/1866240], [[[1, 1], [2, 2], [3, 4], [5, 2], [6, 1], [8, 1]], 1/8957952000], [[[1, 1], [2, 2], [3, 4], [5, 2], [6, 1], [10, 1]], 1/5598720000], [[[1, 1], [2, 2], [3, 4], [5, 2], [6, 1], [12, 1]], 91/6718464000], [[[1, 1], [2, 2], [3, 4], [6, 1], [7, 1], [18, 1]], 1/470292480], [[[1, 1], [2, 2], [3, 4], [6, 1], [8, 1], [10, 2]], 1/8957952000], [[[1, 1], [2, 2], [3, 4], [6, 1], [8, 1], [12, 2]], 271/4299816960], [[[1, 1], [2, 2], [3, 4], [6, 1], [8, 1], [15, 1]], 1/447897600], [[[1, 1], [2, 2], [3, 4], [6, 1], [8, 1], [20, 1]], 1/298598400], [[[1, 1], [2, 2], [3, 4], [6, 1], [8, 1], [24, 1]], 1/358318080], [[[1, 1], [2, 2], [3, 4], [6, 1], [8, 1], [30, 1]], 1/447897600], [[[1, 1], [2, 2], [3, 4], [6, 1], [8, 2], [10, 1]], 1/1791590400], [[[1, 1], [2, 2], [3, 4], [6, 1], [8, 2], [12, 1]], 91/2149908480], [[[1, 1], [2, 2], [3, 4], [6, 1], [9, 1], [18, 1]], 1121/604661760], [[[1, 1], [2, 2], [3, 4], [6, 1], [10, 1], [12, 2]], 271/2687385600], [[[1, 1], [2, 2], [3, 4], [6, 1], [10, 1], [15, 1]], 1/279936000], [[[1, 1], [2, 2], [3, 4], [6, 1], [10, 1], [20, 1]], 1/186624000], [[[1, 1], [2, 2], [3, 4], [6, 1], [10, 1], [24, 1]], 1/223948800], [[[1, 1], [2, 2], [3, 4], [6, 1], [10, 1], [30, 1]], 1/279936000], [[[1, 1], [2, 2], [3, 4], [6, 1], [10, 2], [12, 1]], 91/6718464000], [[[1, 1], [2, 2], [3, 4], [6, 1], [12, 1], [15, 1]], 91/335923200], [[[1, 1], [2, 2], [3, 4], [6, 1], [12, 1], [20, 1]], 91/223948800], [[[1, 1], [2, 2], [3, 4], [6, 1], [12, 1], [24, 1]], 91/268738560], [[[1, 1], [2, 2], [3, 4], [6, 1], [12, 1], [30, 1]], 91/335923200], [[[1, 1], [2, 2], [3, 4], [6, 1], [14, 1], [18, 1]], 1/235146240], [[[1, 1], [2, 2], [3, 4], [6, 2], [7, 1], [12, 1]], 13/358318080], [[[1, 1], [2, 2], [3, 4], [6, 2], [8, 1], [9, 1]], 1/8957952], [[[1, 1], [2, 2], [3, 4], [6, 2], [8, 1], [18, 1]], 1/806215680], [[[1, 1], [2, 2], [3, 4], [6, 2], [9, 1], [12, 1]], 851/3224862720], [[[1, 1], [2, 2], [3, 4], [6, 2], [10, 1], [18, 1]], 1/503884800], [[[1, 1], [2, 2], [3, 4], [6, 2], [12, 1], [14, 1]], 13/179159040], [[[1, 1], [2, 2], [3, 4], [6, 2], [12, 1], [18, 1]], 91/483729408], [[[1, 1], [2, 2], [3, 4], [6, 3], [8, 1], [12, 1]], 91/4299816960], [[[1, 1], [2, 2], [3, 4], [6, 3], [10, 1], [12, 1]], 91/2687385600], [[[1, 1], [2, 2], [3, 4], [8, 1], [9, 1], [12, 1]], 1/1492992], [[[1, 1], [2, 2], [3, 5], [4, 1], [5, 1], [9, 1]], 1/671846400], [[[1, 1], [2, 2], [3, 5], [4, 1], [5, 2], [6, 1]], 1/13436928000], [[[1, 1], [2, 2], [3, 5], [4, 1], [6, 1], [8, 2]], 1/4299816960], [[[1, 1], [2, 2], [3, 5], [4, 1], [6, 1], [10, 2]], 1/13436928000], [[[1, 1], [2, 2], [3, 5], [4, 1], [6, 1], [12, 2]], 307/6449725440], [[[1, 1], [2, 2], [3, 5], [4, 1], [6, 1], [15, 1]], 1/671846400], [[[1, 1], [2, 2], [3, 5], [4, 1], [6, 1], [16, 1]], 1/29859840], [[[1, 1], [2, 2], [3, 5], [4, 1], [6, 1], [20, 1]], 1/447897600], [[[1, 1], [2, 2], [3, 5], [4, 1], [6, 1], [24, 1]], 19/537477120], [[[1, 1], [2, 2], [3, 5], [4, 1], [6, 1], [30, 1]], 1/671846400], [[[1, 1], [2, 2], [3, 5], [4, 1], [6, 2], [18, 1]], 1/1209323520], [[[1, 1], [2, 2], [3, 5], [4, 1], [6, 3], [12, 1]], 2251/6449725440], [[[1, 1], [2, 2], [3, 5], [4, 1], [8, 1], [9, 1]], 11/2149908480], [[[1, 1], [2, 2], [3, 5], [4, 1], [9, 1], [10, 1]], 1/671846400], [[[1, 1], [2, 2], [3, 5], [4, 1], [9, 1], [12, 1]], 1/403107840], [[[1, 1], [2, 2], [3, 5], [4, 2], [5, 1], [12, 1]], 1/1343692800], [[[1, 1], [2, 2], [3, 5], [4, 2], [6, 1], [9, 1]], 1/9674588160], [[[1, 1], [2, 2], [3, 5], [4, 2], [6, 2], [12, 1]], 731/6449725440], [[[1, 1], [2, 2], [3, 5], [4, 2], [8, 1], [12, 1]], 1/1074954240], [[[1, 1], [2, 2], [3, 5], [4, 3], [6, 1], [8, 1]], 1/358318080], [[[1, 1], [2, 2], [3, 5], [4, 3], [6, 1], [12, 1]], 19/1612431360], [[[1, 1], [2, 2], [3, 5], [5, 1], [6, 1], [18, 1]], 1/1007769600], [[[1, 1], [2, 2], [3, 5], [5, 1], [6, 2], [12, 1]], 91/5374771200], [[[1, 1], [2, 2], [3, 5], [6, 1], [8, 1], [9, 1]], 1/806215680], [[[1, 1], [2, 2], [3, 5], [6, 1], [8, 1], [18, 1]], 1/806215680], [[[1, 1], [2, 2], [3, 5], [6, 1], [9, 1], [10, 1]], 1/503884800], [[[1, 1], [2, 2], [3, 5], [6, 1], [9, 1], [12, 1]], 91/604661760], [[[1, 1], [2, 2], [3, 5], [6, 1], [12, 1], [18, 1]], 11/806215680], [[[1, 1], [2, 2], [3, 5], [6, 2], [8, 1], [12, 1]], 91/4299816960], [[[1, 1], [2, 2], [3, 6], [4, 1], [5, 1], [6, 2]], 1/21499084800], [[[1, 1], [2, 2], [3, 6], [4, 1], [5, 1], [12, 1]], 1/3583180800], [[[1, 1], [2, 2], [3, 6], [4, 1], [6, 1], [9, 1]], 1/1209323520], [[[1, 1], [2, 2], [3, 6], [4, 1], [6, 2], [8, 1]], 11/68797071360], [[[1, 1], [2, 2], [3, 6], [4, 1], [6, 2], [10, 1]], 1/21499084800], [[[1, 1], [2, 2], [3, 6], [4, 1], [6, 2], [12, 1]], 73/12899450880], [[[1, 1], [2, 2], [3, 6], [4, 1], [8, 1], [12, 1]], 11/11466178560], [[[1, 1], [2, 2], [3, 6], [4, 1], [10, 1], [12, 1]], 1/3583180800], [[[1, 1], [2, 2], [3, 6], [4, 2], [6, 1], [12, 1]], 7/30958682112], [[[1, 1], [2, 2], [3, 6], [6, 1], [8, 1], [12, 1]], 1/4299816960], [[[1, 1], [2, 2], [3, 6], [6, 1], [10, 1], [12, 1]], 1/2687385600], [[[1, 1], [2, 2], [3, 7], [4, 1], [6, 1], [12, 1]], 1/6449725440], [[[1, 1], [2, 2], [4, 1], [5, 1], [6, 2], [12, 3]], 1/6635520], [[[1, 1], [2, 2], [4, 1], [5, 1], [6, 2], [18, 2]], 1/466560], [[[1, 1], [2, 2], [4, 1], [5, 1], [6, 4], [8, 2]], 1/2388787200], [[[1, 1], [2, 2], [4, 1], [5, 1], [6, 4], [10, 2]], 1/7464960000], [[[1, 1], [2, 2], [4, 1], [5, 1], [6, 4], [12, 2]], 271/3583180800], [[[1, 1], [2, 2], [4, 1], [5, 1], [6, 4], [15, 1]], 1/373248000], [[[1, 1], [2, 2], [4, 1], [5, 1], [6, 4], [20, 1]], 1/248832000], [[[1, 1], [2, 2], [4, 1], [5, 1], [6, 4], [24, 1]], 1/298598400], [[[1, 1], [2, 2], [4, 1], [5, 1], [6, 4], [30, 1]], 1/373248000], [[[1, 1], [2, 2], [4, 1], [5, 1], [6, 5], [18, 1]], 1/671846400], [[[1, 1], [2, 2], [4, 1], [5, 1], [6, 6], [12, 1]], 1/3583180800], [[[1, 1], [2, 2], [4, 1], [5, 1], [8, 1], [10, 3]], 1/96000], [[[1, 1], [2, 2], [4, 1], [5, 1], [8, 2], [10, 2]], 1/9216000], [[[1, 1], [2, 2], [4, 1], [5, 1], [8, 2], [12, 2]], 1/4423680], [[[1, 1], [2, 2], [4, 1], [5, 1], [8, 2], [15, 1]], 1/460800], [[[1, 1], [2, 2], [4, 1], [5, 1], [8, 2], [20, 1]], 1/307200], [[[1, 1], [2, 2], [4, 1], [5, 1], [8, 2], [24, 1]], 11/122880], [[[1, 1], [2, 2], [4, 1], [5, 1], [8, 2], [30, 1]], 1/460800], [[[1, 1], [2, 2], [4, 1], [5, 1], [8, 3], [10, 1]], 1/30720], [[[1, 1], [2, 2], [4, 1], [5, 1], [10, 2], [12, 2]], 1/13824000], [[[1, 1], [2, 2], [4, 1], [5, 1], [10, 2], [15, 1]], 1/1440000], [[[1, 1], [2, 2], [4, 1], [5, 1], [10, 2], [20, 1]], 1/960000], [[[1, 1], [2, 2], [4, 1], [5, 1], [10, 2], [24, 1]], 1/1152000], [[[1, 1], [2, 2], [4, 1], [5, 1], [10, 2], [30, 1]], 1/1440000], [[[1, 1], [2, 2], [4, 1], [5, 1], [12, 1], [36, 1]], 1/8640], [[[1, 1], [2, 2], [4, 1], [5, 1], [12, 2], [15, 1]], 1/691200], [[[1, 1], [2, 2], [4, 1], [5, 1], [12, 2], [20, 1]], 1/460800], [[[1, 1], [2, 2], [4, 1], [5, 1], [12, 2], [24, 1]], 13/552960], [[[1, 1], [2, 2], [4, 1], [5, 1], [12, 2], [30, 1]], 1/691200], [[[1, 1], [2, 2], [4, 1], [5, 1], [15, 1], [20, 1]], 1/48000], [[[1, 1], [2, 2], [4, 1], [5, 1], [15, 1], [24, 1]], 1/57600], [[[1, 1], [2, 2], [4, 1], [5, 1], [15, 1], [30, 1]], 1/4500], [[[1, 1], [2, 2], [4, 1], [5, 1], [20, 1], [24, 1]], 1/38400], [[[1, 1], [2, 2], [4, 1], [5, 1], [20, 1], [30, 1]], 1/48000], [[[1, 1], [2, 2], [4, 1], [5, 1], [24, 1], [30, 1]], 1/57600], [[[1, 1], [2, 2], [4, 1], [5, 2], [6, 2], [12, 2]], 1/8294400], [[[1, 1], [2, 2], [4, 1], [5, 2], [6, 4], [8, 1]], 11/23887872000], [[[1, 1], [2, 2], [4, 1], [5, 2], [6, 4], [10, 1]], 1/7464960000], [[[1, 1], [2, 2], [4, 1], [5, 2], [6, 4], [12, 1]], 1/4478976000], [[[1, 1], [2, 2], [4, 1], [5, 2], [7, 1], [14, 1]], 1/67200], [[[1, 1], [2, 2], [4, 1], [5, 2], [8, 1], [10, 2]], 3311/92160000], [[[1, 1], [2, 2], [4, 1], [5, 2], [8, 1], [12, 2]], 11/44236800], [[[1, 1], [2, 2], [4, 1], [5, 2], [8, 1], [15, 1]], 11/4608000], [[[1, 1], [2, 2], [4, 1], [5, 2], [8, 1], [16, 1]], 1/30720], [[[1, 1], [2, 2], [4, 1], [5, 2], [8, 1], [20, 1]], 43/3072000], [[[1, 1], [2, 2], [4, 1], [5, 2], [8, 1], [24, 1]], 1/49152], [[[1, 1], [2, 2], [4, 1], [5, 2], [8, 1], [30, 1]], 11/4608000], [[[1, 1], [2, 2], [4, 1], [5, 2], [8, 2], [10, 1]], 1/9216000], [[[1, 1], [2, 2], [4, 1], [5, 2], [8, 2], [12, 1]], 1/5529600], [[[1, 1], [2, 2], [4, 1], [5, 2], [9, 1], [18, 1]], 1/86400], [[[1, 1], [2, 2], [4, 1], [5, 2], [10, 1], [12, 2]], 1/13824000], [[[1, 1], [2, 2], [4, 1], [5, 2], [10, 1], [15, 1]], 1/1440000], [[[1, 1], [2, 2], [4, 1], [5, 2], [10, 1], [20, 1]], 1/960000], [[[1, 1], [2, 2], [4, 1], [5, 2], [10, 1], [24, 1]], 1/1152000], [[[1, 1], [2, 2], [4, 1], [5, 2], [10, 1], [30, 1]], 1/1440000], [[[1, 1], [2, 2], [4, 1], [5, 2], [10, 2], [12, 1]], 301/17280000], [[[1, 1], [2, 2], [4, 1], [5, 2], [12, 1], [15, 1]], 1/864000], [[[1, 1], [2, 2], [4, 1], [5, 2], [12, 1], [16, 1]], 1/115200], [[[1, 1], [2, 2], [4, 1], [5, 2], [12, 1], [20, 1]], 1/115200], [[[1, 1], [2, 2], [4, 1], [5, 2], [12, 1], [24, 1]], 7/691200], [[[1, 1], [2, 2], [4, 1], [5, 2], [12, 1], [30, 1]], 1/864000], [[[1, 1], [2, 2], [4, 1], [5, 3], [6, 1], [18, 1]], 1/2592000], [[[1, 1], [2, 2], [4, 1], [5, 3], [6, 2], [12, 1]], 1/13824000], [[[1, 1], [2, 2], [4, 1], [5, 3], [8, 1], [10, 1]], 1/96000], [[[1, 1], [2, 2], [4, 1], [6, 1], [8, 3], [18, 1]], 1/98304], [[[1, 1], [2, 2], [4, 1], [6, 1], [9, 1], [18, 2]], 1/7776], [[[1, 1], [2, 2], [4, 1], [6, 1], [10, 3], [18, 1]], 1/2592000], [[[1, 1], [2, 2], [4, 1], [6, 1], [12, 3], [18, 1]], 7/2239488], [[[1, 1], [2, 2], [4, 1], [6, 1], [18, 1], [28, 1]], 1/6048], [[[1, 1], [2, 2], [4, 1], [6, 1], [18, 1], [36, 1]], 1/7776], [[[1, 1], [2, 2], [4, 1], [6, 2], [8, 1], [12, 3]], 11/21233664], [[[1, 1], [2, 2], [4, 1], [6, 2], [8, 1], [18, 2]], 11/1492992], [[[1, 1], [2, 2], [4, 1], [6, 2], [8, 2], [12, 2]], 1/2654208], [[[1, 1], [2, 2], [4, 1], [6, 2], [8, 3], [12, 1]], 1/524288], [[[1, 1], [2, 2], [4, 1], [6, 2], [10, 1], [12, 3]], 1/6635520], [[[1, 1], [2, 2], [4, 1], [6, 2], [10, 1], [18, 2]], 1/466560], [[[1, 1], [2, 2], [4, 1], [6, 2], [10, 2], [12, 2]], 1/8294400], [[[1, 1], [2, 2], [4, 1], [6, 2], [10, 3], [12, 1]], 1/13824000], [[[1, 1], [2, 2], [4, 1], [6, 2], [12, 1], [18, 2]], 1/279936], [[[1, 1], [2, 2], [4, 1], [6, 2], [12, 1], [28, 1]], 1/32256], [[[1, 1], [2, 2], [4, 1], [6, 2], [12, 1], [36, 1]], 1/41472], [[[1, 1], [2, 2], [4, 1], [6, 2], [12, 2], [15, 1]], 1/414720], [[[1, 1], [2, 2], [4, 1], [6, 2], [12, 2], [16, 1]], 1/55296], [[[1, 1], [2, 2], [4, 1], [6, 2], [12, 2], [20, 1]], 1/55296], [[[1, 1], [2, 2], [4, 1], [6, 2], [12, 2], [24, 1]], 7/331776], [[[1, 1], [2, 2], [4, 1], [6, 2], [12, 2], [30, 1]], 1/414720], [[[1, 1], [2, 2], [4, 1], [6, 3], [12, 2], [18, 1]], 1/746496], [[[1, 1], [2, 2], [4, 1], [6, 4], [7, 1], [14, 1]], 1/17418240], [[[1, 1], [2, 2], [4, 1], [6, 4], [8, 1], [10, 2]], 11/23887872000], [[[1, 1], [2, 2], [4, 1], [6, 4], [8, 1], [12, 2]], 2981/11466178560], [[[1, 1], [2, 2], [4, 1], [6, 4], [8, 1], [15, 1]], 11/1194393600], [[[1, 1], [2, 2], [4, 1], [6, 4], [8, 1], [16, 1]], 1/7962624], [[[1, 1], [2, 2], [4, 1], [6, 4], [8, 1], [20, 1]], 43/796262400], [[[1, 1], [2, 2], [4, 1], [6, 4], [8, 1], [24, 1]], 5/63700992], [[[1, 1], [2, 2], [4, 1], [6, 4], [8, 1], [30, 1]], 11/1194393600], [[[1, 1], [2, 2], [4, 1], [6, 4], [8, 2], [10, 1]], 1/2388787200], [[[1, 1], [2, 2], [4, 1], [6, 4], [8, 2], [12, 1]], 1/1433272320], [[[1, 1], [2, 2], [4, 1], [6, 4], [9, 1], [18, 1]], 1/22394880], [[[1, 1], [2, 2], [4, 1], [6, 4], [10, 1], [12, 2]], 271/3583180800], [[[1, 1], [2, 2], [4, 1], [6, 4], [10, 1], [15, 1]], 1/373248000], [[[1, 1], [2, 2], [4, 1], [6, 4], [10, 1], [20, 1]], 1/248832000], [[[1, 1], [2, 2], [4, 1], [6, 4], [10, 1], [24, 1]], 1/298598400], [[[1, 1], [2, 2], [4, 1], [6, 4], [10, 1], [30, 1]], 1/373248000], [[[1, 1], [2, 2], [4, 1], [6, 4], [10, 2], [12, 1]], 1/4478976000], [[[1, 1], [2, 2], [4, 1], [6, 4], [12, 1], [15, 1]], 1/223948800], [[[1, 1], [2, 2], [4, 1], [6, 4], [12, 1], [16, 1]], 1/29859840], [[[1, 1], [2, 2], [4, 1], [6, 4], [12, 1], [20, 1]], 1/29859840], [[[1, 1], [2, 2], [4, 1], [6, 4], [12, 1], [24, 1]], 7/179159040], [[[1, 1], [2, 2], [4, 1], [6, 4], [12, 1], [30, 1]], 1/223948800], [[[1, 1], [2, 2], [4, 1], [6, 5], [8, 1], [18, 1]], 11/2149908480], [[[1, 1], [2, 2], [4, 1], [6, 5], [10, 1], [18, 1]], 1/671846400], [[[1, 1], [2, 2], [4, 1], [6, 5], [12, 1], [18, 1]], 1/403107840], [[[1, 1], [2, 2], [4, 1], [6, 6], [8, 1], [12, 1]], 11/11466178560], [[[1, 1], [2, 2], [4, 1], [6, 6], [10, 1], [12, 1]], 1/3583180800], [[[1, 1], [2, 2], [4, 1], [7, 1], [8, 2], [14, 1]], 1/21504], [[[1, 1], [2, 2], [4, 1], [7, 1], [10, 2], [14, 1]], 1/67200], [[[1, 1], [2, 2], [4, 1], [7, 1], [12, 2], [14, 1]], 1/32256], [[[1, 1], [2, 2], [4, 1], [7, 1], [14, 1], [15, 1]], 1/3360], [[[1, 1], [2, 2], [4, 1], [7, 1], [14, 1], [20, 1]], 1/2240], [[[1, 1], [2, 2], [4, 1], [7, 1], [14, 1], [24, 1]], 1/2688], [[[1, 1], [2, 2], [4, 1], [7, 1], [14, 1], [30, 1]], 1/3360], [[[1, 1], [2, 2], [4, 1], [8, 1], [10, 2], [12, 2]], 11/44236800], [[[1, 1], [2, 2], [4, 1], [8, 1], [10, 2], [15, 1]], 11/4608000], [[[1, 1], [2, 2], [4, 1], [8, 1], [10, 2], [16, 1]], 1/30720], [[[1, 1], [2, 2], [4, 1], [8, 1], [10, 2], [20, 1]], 43/3072000], [[[1, 1], [2, 2], [4, 1], [8, 1], [10, 2], [24, 1]], 1/49152], [[[1, 1], [2, 2], [4, 1], [8, 1], [10, 2], [30, 1]], 11/4608000], [[[1, 1], [2, 2], [4, 1], [8, 1], [12, 1], [36, 1]], 11/27648], [[[1, 1], [2, 2], [4, 1], [8, 1], [12, 2], [15, 1]], 11/2211840], [[[1, 1], [2, 2], [4, 1], [8, 1], [12, 2], [16, 1]], 5/73728], [[[1, 1], [2, 2], [4, 1], [8, 1], [12, 2], [20, 1]], 43/1474560], [[[1, 1], [2, 2], [4, 1], [8, 1], [12, 2], [24, 1]], 23/196608], [[[1, 1], [2, 2], [4, 1], [8, 1], [12, 2], [30, 1]], 11/2211840], [[[1, 1], [2, 2], [4, 1], [8, 1], [15, 1], [16, 1]], 1/1536], [[[1, 1], [2, 2], [4, 1], [8, 1], [15, 1], [20, 1]], 43/153600], [[[1, 1], [2, 2], [4, 1], [8, 1], [15, 1], [24, 1]], 5/12288], [[[1, 1], [2, 2], [4, 1], [8, 1], [15, 1], [30, 1]], 11/14400], [[[1, 1], [2, 2], [4, 1], [8, 1], [16, 1], [20, 1]], 1/1024], [[[1, 1], [2, 2], [4, 1], [8, 1], [16, 1], [24, 1]], 5/6144], [[[1, 1], [2, 2], [4, 1], [8, 1], [16, 1], [30, 1]], 1/1536], [[[1, 1], [2, 2], [4, 1], [8, 1], [20, 1], [24, 1]], 107/122880], [[[1, 1], [2, 2], [4, 1], [8, 1], [20, 1], [30, 1]], 43/153600], [[[1, 1], [2, 2], [4, 1], [8, 1], [24, 1], [30, 1]], 5/12288], [[[1, 1], [2, 2], [4, 1], [8, 2], [9, 1], [18, 1]], 1/27648], [[[1, 1], [2, 2], [4, 1], [8, 2], [10, 1], [12, 2]], 1/4423680], [[[1, 1], [2, 2], [4, 1], [8, 2], [10, 1], [15, 1]], 1/460800], [[[1, 1], [2, 2], [4, 1], [8, 2], [10, 1], [20, 1]], 1/307200], [[[1, 1], [2, 2], [4, 1], [8, 2], [10, 1], [24, 1]], 11/122880], [[[1, 1], [2, 2], [4, 1], [8, 2], [10, 1], [30, 1]], 1/460800], [[[1, 1], [2, 2], [4, 1], [8, 2], [10, 2], [12, 1]], 1/5529600], [[[1, 1], [2, 2], [4, 1], [8, 2], [12, 1], [15, 1]], 1/276480], [[[1, 1], [2, 2], [4, 1], [8, 2], [12, 1], [16, 1]], 1/36864], [[[1, 1], [2, 2], [4, 1], [8, 2], [12, 1], [20, 1]], 1/36864], [[[1, 1], [2, 2], [4, 1], [8, 2], [12, 1], [24, 1]], 13/73728], [[[1, 1], [2, 2], [4, 1], [8, 2], [12, 1], [30, 1]], 1/276480], [[[1, 1], [2, 2], [4, 1], [9, 1], [10, 2], [18, 1]], 1/86400], [[[1, 1], [2, 2], [4, 1], [9, 1], [12, 2], [18, 1]], 1/41472], [[[1, 1], [2, 2], [4, 1], [9, 1], [15, 1], [18, 1]], 1/4320], [[[1, 1], [2, 2], [4, 1], [9, 1], [18, 1], [20, 1]], 1/2880], [[[1, 1], [2, 2], [4, 1], [9, 1], [18, 1], [24, 1]], 1/3456], [[[1, 1], [2, 2], [4, 1], [9, 1], [18, 1], [30, 1]], 1/4320], [[[1, 1], [2, 2], [4, 1], [10, 1], [12, 1], [36, 1]], 1/8640], [[[1, 1], [2, 2], [4, 1], [10, 1], [12, 2], [15, 1]], 1/691200], [[[1, 1], [2, 2], [4, 1], [10, 1], [12, 2], [20, 1]], 1/460800], [[[1, 1], [2, 2], [4, 1], [10, 1], [12, 2], [24, 1]], 13/552960], [[[1, 1], [2, 2], [4, 1], [10, 1], [12, 2], [30, 1]], 1/691200], [[[1, 1], [2, 2], [4, 1], [10, 1], [15, 1], [20, 1]], 1/48000], [[[1, 1], [2, 2], [4, 1], [10, 1], [15, 1], [24, 1]], 1/57600], [[[1, 1], [2, 2], [4, 1], [10, 1], [15, 1], [30, 1]], 1/4500], [[[1, 1], [2, 2], [4, 1], [10, 1], [20, 1], [24, 1]], 1/38400], [[[1, 1], [2, 2], [4, 1], [10, 1], [20, 1], [30, 1]], 1/48000], [[[1, 1], [2, 2], [4, 1], [10, 1], [24, 1], [30, 1]], 1/57600], [[[1, 1], [2, 2], [4, 1], [10, 2], [12, 1], [15, 1]], 1/864000], [[[1, 1], [2, 2], [4, 1], [10, 2], [12, 1], [16, 1]], 1/115200], [[[1, 1], [2, 2], [4, 1], [10, 2], [12, 1], [20, 1]], 1/115200], [[[1, 1], [2, 2], [4, 1], [10, 2], [12, 1], [24, 1]], 7/691200], [[[1, 1], [2, 2], [4, 1], [10, 2], [12, 1], [30, 1]], 1/864000], [[[1, 1], [2, 2], [4, 1], [12, 1], [15, 1], [16, 1]], 1/5760], [[[1, 1], [2, 2], [4, 1], [12, 1], [15, 1], [20, 1]], 1/5760], [[[1, 1], [2, 2], [4, 1], [12, 1], [15, 1], [24, 1]], 7/34560], [[[1, 1], [2, 2], [4, 1], [12, 1], [15, 1], [30, 1]], 1/2700], [[[1, 1], [2, 2], [4, 1], [12, 1], [16, 1], [20, 1]], 1/3840], [[[1, 1], [2, 2], [4, 1], [12, 1], [16, 1], [24, 1]], 1/4608], [[[1, 1], [2, 2], [4, 1], [12, 1], [16, 1], [30, 1]], 1/5760], [[[1, 1], [2, 2], [4, 1], [12, 1], [20, 1], [24, 1]], 11/23040], [[[1, 1], [2, 2], [4, 1], [12, 1], [20, 1], [30, 1]], 1/5760], [[[1, 1], [2, 2], [4, 1], [12, 1], [24, 1], [30, 1]], 7/34560], [[[1, 1], [2, 2], [4, 2], [5, 2], [6, 1], [8, 2]], 1/132710400], [[[1, 1], [2, 2], [4, 2], [5, 2], [6, 1], [10, 2]], 301/414720000], [[[1, 1], [2, 2], [4, 2], [5, 2], [6, 1], [12, 2]], 13/39813120], [[[1, 1], [2, 2], [4, 2], [5, 2], [6, 1], [15, 1]], 1/20736000], [[[1, 1], [2, 2], [4, 2], [5, 2], [6, 1], [20, 1]], 1/13824000], [[[1, 1], [2, 2], [4, 2], [5, 2], [6, 1], [24, 1]], 1/16588800], [[[1, 1], [2, 2], [4, 2], [5, 2], [6, 1], [30, 1]], 1/20736000], [[[1, 1], [2, 2], [4, 2], [5, 2], [6, 2], [18, 1]], 1/37324800], [[[1, 1], [2, 2], [4, 2], [5, 2], [6, 3], [12, 1]], 59/5374771200], [[[1, 1], [2, 2], [4, 2], [5, 2], [7, 1], [12, 1]], 1/2419200], [[[1, 1], [2, 2], [4, 2], [5, 2], [9, 1], [12, 1]], 1/3110400], [[[1, 1], [2, 2], [4, 2], [5, 2], [12, 1], [14, 1]], 1/1209600], [[[1, 1], [2, 2], [4, 2], [5, 2], [12, 1], [18, 1]], 1/2332800], [[[1, 1], [2, 2], [4, 2], [6, 1], [8, 1], [12, 3]], 7/5971968], [[[1, 1], [2, 2], [4, 2], [6, 1], [8, 1], [28, 1]], 1/5376], [[[1, 1], [2, 2], [4, 2], [6, 1], [8, 1], [36, 1]], 1/20736], [[[1, 1], [2, 2], [4, 2], [6, 1], [8, 2], [10, 2]], 1/132710400], [[[1, 1], [2, 2], [4, 2], [6, 1], [8, 2], [12, 2]], 833/63700992], [[[1, 1], [2, 2], [4, 2], [6, 1], [8, 2], [15, 1]], 1/6635520], [[[1, 1], [2, 2], [4, 2], [6, 1], [8, 2], [16, 1]], 1/24576], [[[1, 1], [2, 2], [4, 2], [6, 1], [8, 2], [20, 1]], 1/4423680], [[[1, 1], [2, 2], [4, 2], [6, 1], [8, 2], [24, 1]], 11/1769472], [[[1, 1], [2, 2], [4, 2], [6, 1], [8, 2], [30, 1]], 1/6635520], [[[1, 1], [2, 2], [4, 2], [6, 1], [8, 3], [12, 1]], 13/1327104], [[[1, 1], [2, 2], [4, 2], [6, 1], [10, 1], [12, 3]], 7/3732480], [[[1, 1], [2, 2], [4, 2], [6, 1], [10, 1], [28, 1]], 1/3360], [[[1, 1], [2, 2], [4, 2], [6, 1], [10, 1], [36, 1]], 1/12960], [[[1, 1], [2, 2], [4, 2], [6, 1], [10, 2], [12, 2]], 13/39813120], [[[1, 1], [2, 2], [4, 2], [6, 1], [10, 2], [15, 1]], 1/20736000], [[[1, 1], [2, 2], [4, 2], [6, 1], [10, 2], [20, 1]], 1/13824000], [[[1, 1], [2, 2], [4, 2], [6, 1], [10, 2], [24, 1]], 1/16588800], [[[1, 1], [2, 2], [4, 2], [6, 1], [10, 2], [30, 1]], 1/20736000], [[[1, 1], [2, 2], [4, 2], [6, 1], [10, 3], [12, 1]], 1/2592000], [[[1, 1], [2, 2], [4, 2], [6, 1], [12, 1], [18, 2]], 1/209952], [[[1, 1], [2, 2], [4, 2], [6, 1], [12, 1], [28, 1]], 1/4032], [[[1, 1], [2, 2], [4, 2], [6, 1], [12, 1], [36, 1]], 1/13824], [[[1, 1], [2, 2], [4, 2], [6, 1], [12, 2], [15, 1]], 13/1990656], [[[1, 1], [2, 2], [4, 2], [6, 1], [12, 2], [20, 1]], 833/6635520], [[[1, 1], [2, 2], [4, 2], [6, 1], [12, 2], [24, 1]], 461/7962624], [[[1, 1], [2, 2], [4, 2], [6, 1], [12, 2], [30, 1]], 13/1990656], [[[1, 1], [2, 2], [4, 2], [6, 1], [15, 1], [20, 1]], 1/691200], [[[1, 1], [2, 2], [4, 2], [6, 1], [15, 1], [24, 1]], 1/829440], [[[1, 1], [2, 2], [4, 2], [6, 1], [15, 1], [30, 1]], 1/64800], [[[1, 1], [2, 2], [4, 2], [6, 1], [20, 1], [24, 1]], 1/552960], [[[1, 1], [2, 2], [4, 2], [6, 1], [20, 1], [30, 1]], 1/691200], [[[1, 1], [2, 2], [4, 2], [6, 1], [24, 1], [30, 1]], 1/829440], [[[1, 1], [2, 2], [4, 2], [6, 2], [7, 1], [12, 2]], 1/1161216], [[[1, 1], [2, 2], [4, 2], [6, 2], [8, 2], [18, 1]], 1/11943936], [[[1, 1], [2, 2], [4, 2], [6, 2], [9, 1], [12, 2]], 1/1492992], [[[1, 1], [2, 2], [4, 2], [6, 2], [10, 2], [18, 1]], 1/37324800], [[[1, 1], [2, 2], [4, 2], [6, 2], [12, 2], [14, 1]], 1/580608], [[[1, 1], [2, 2], [4, 2], [6, 2], [12, 2], [18, 1]], 65/221184], [[[1, 1], [2, 2], [4, 2], [6, 2], [15, 1], [18, 1]], 1/1866240], [[[1, 1], [2, 2], [4, 2], [6, 2], [18, 1], [20, 1]], 1/1244160], [[[1, 1], [2, 2], [4, 2], [6, 2], [18, 1], [24, 1]], 1/1492992], [[[1, 1], [2, 2], [4, 2], [6, 2], [18, 1], [30, 1]], 1/1866240], [[[1, 1], [2, 2], [4, 2], [6, 3], [8, 1], [12, 2]], 1/1990656], [[[1, 1], [2, 2], [4, 2], [6, 3], [8, 1], [16, 1]], 1/995328], [[[1, 1], [2, 2], [4, 2], [6, 3], [8, 2], [12, 1]], 443/1719926784], [[[1, 1], [2, 2], [4, 2], [6, 3], [10, 1], [12, 2]], 1/1244160], [[[1, 1], [2, 2], [4, 2], [6, 3], [10, 2], [12, 1]], 59/5374771200], [[[1, 1], [2, 2], [4, 2], [6, 3], [12, 1], [15, 1]], 59/268738560], [[[1, 1], [2, 2], [4, 2], [6, 3], [12, 1], [20, 1]], 443/179159040], [[[1, 1], [2, 2], [4, 2], [6, 3], [12, 1], [24, 1]], 251/214990848], [[[1, 1], [2, 2], [4, 2], [6, 3], [12, 1], [30, 1]], 59/268738560], [[[1, 1], [2, 2], [4, 2], [6, 4], [7, 1], [12, 1]], 1/627056640], [[[1, 1], [2, 2], [4, 2], [6, 4], [9, 1], [12, 1]], 1/806215680], [[[1, 1], [2, 2], [4, 2], [6, 4], [12, 1], [14, 1]], 1/313528320], [[[1, 1], [2, 2], [4, 2], [6, 4], [12, 1], [18, 1]], 299/2418647040], [[[1, 1], [2, 2], [4, 2], [6, 5], [8, 1], [12, 1]], 1/1074954240], [[[1, 1], [2, 2], [4, 2], [6, 5], [10, 1], [12, 1]], 1/671846400], [[[1, 1], [2, 2], [4, 2], [7, 1], [8, 1], [16, 1]], 1/14336], [[[1, 1], [2, 2], [4, 2], [7, 1], [8, 2], [12, 1]], 13/774144], [[[1, 1], [2, 2], [4, 2], [7, 1], [10, 2], [12, 1]], 1/2419200], [[[1, 1], [2, 2], [4, 2], [7, 1], [12, 1], [15, 1]], 1/120960], [[[1, 1], [2, 2], [4, 2], [7, 1], [12, 1], [20, 1]], 13/80640], [[[1, 1], [2, 2], [4, 2], [7, 1], [12, 1], [24, 1]], 1/13824], [[[1, 1], [2, 2], [4, 2], [7, 1], [12, 1], [30, 1]], 1/120960], [[[1, 1], [2, 2], [4, 2], [8, 1], [9, 1], [16, 1]], 1/18432], [[[1, 1], [2, 2], [4, 2], [8, 1], [14, 1], [16, 1]], 1/7168], [[[1, 1], [2, 2], [4, 2], [8, 1], [16, 1], [18, 1]], 1/13824], [[[1, 1], [2, 2], [4, 2], [8, 2], [9, 1], [12, 1]], 13/995328], [[[1, 1], [2, 2], [4, 2], [8, 2], [12, 1], [14, 1]], 13/387072], [[[1, 1], [2, 2], [4, 2], [8, 2], [12, 1], [18, 1]], 13/746496], [[[1, 1], [2, 2], [4, 2], [9, 1], [10, 2], [12, 1]], 1/3110400], [[[1, 1], [2, 2], [4, 2], [9, 1], [12, 1], [15, 1]], 1/155520], [[[1, 1], [2, 2], [4, 2], [9, 1], [12, 1], [20, 1]], 13/103680], [[[1, 1], [2, 2], [4, 2], [9, 1], [12, 1], [24, 1]], 7/124416], [[[1, 1], [2, 2], [4, 2], [9, 1], [12, 1], [30, 1]], 1/155520], [[[1, 1], [2, 2], [4, 2], [10, 2], [12, 1], [14, 1]], 1/1209600], [[[1, 1], [2, 2], [4, 2], [10, 2], [12, 1], [18, 1]], 1/2332800], [[[1, 1], [2, 2], [4, 2], [12, 1], [14, 1], [15, 1]], 1/60480], [[[1, 1], [2, 2], [4, 2], [12, 1], [14, 1], [20, 1]], 13/40320], [[[1, 1], [2, 2], [4, 2], [12, 1], [14, 1], [24, 1]], 1/6912], [[[1, 1], [2, 2], [4, 2], [12, 1], [14, 1], [30, 1]], 1/60480], [[[1, 1], [2, 2], [4, 2], [12, 1], [15, 1], [18, 1]], 1/116640], [[[1, 1], [2, 2], [4, 2], [12, 1], [18, 1], [20, 1]], 13/77760], [[[1, 1], [2, 2], [4, 2], [12, 1], [18, 1], [24, 1]], 7/93312], [[[1, 1], [2, 2], [4, 2], [12, 1], [18, 1], [30, 1]], 1/116640], [[[1, 1], [2, 2], [4, 3], [5, 1], [6, 2], [12, 2]], 1/1658880], [[[1, 1], [2, 2], [4, 3], [5, 1], [6, 4], [12, 1]], 1/895795200], [[[1, 1], [2, 2], [4, 3], [5, 1], [8, 1], [16, 1]], 1/20480], [[[1, 1], [2, 2], [4, 3], [5, 1], [8, 2], [12, 1]], 13/1105920], [[[1, 1], [2, 2], [4, 3], [5, 1], [10, 2], [12, 1]], 1/3456000], [[[1, 1], [2, 2], [4, 3], [5, 1], [12, 1], [15, 1]], 1/172800], [[[1, 1], [2, 2], [4, 3], [5, 1], [12, 1], [20, 1]], 13/115200], [[[1, 1], [2, 2], [4, 3], [5, 1], [12, 1], [24, 1]], 7/138240], [[[1, 1], [2, 2], [4, 3], [5, 1], [12, 1], [30, 1]], 1/172800], [[[1, 1], [2, 2], [4, 3], [5, 2], [6, 1], [18, 1]], 1/49766400], [[[1, 1], [2, 2], [4, 3], [5, 2], [6, 2], [12, 1]], 1/265420800], [[[1, 1], [2, 2], [4, 3], [5, 2], [8, 1], [12, 1]], 7/2211840], [[[1, 1], [2, 2], [4, 3], [5, 2], [10, 1], [12, 1]], 1/3456000], [[[1, 1], [2, 2], [4, 3], [6, 1], [8, 2], [18, 1]], 49/15925248], [[[1, 1], [2, 2], [4, 3], [6, 1], [10, 2], [18, 1]], 1/49766400], [[[1, 1], [2, 2], [4, 3], [6, 1], [12, 2], [18, 1]], 385/23887872], [[[1, 1], [2, 2], [4, 3], [6, 1], [15, 1], [18, 1]], 1/2488320], [[[1, 1], [2, 2], [4, 3], [6, 1], [16, 1], [18, 1]], 1/82944], [[[1, 1], [2, 2], [4, 3], [6, 1], [18, 1], [20, 1]], 13/331776], [[[1, 1], [2, 2], [4, 3], [6, 1], [18, 1], [24, 1]], 1/1990656], [[[1, 1], [2, 2], [4, 3], [6, 1], [18, 1], [30, 1]], 1/2488320], [[[1, 1], [2, 2], [4, 3], [6, 2], [8, 1], [12, 2]], 35/5308416], [[[1, 1], [2, 2], [4, 3], [6, 2], [8, 2], [12, 1]], 49/84934656], [[[1, 1], [2, 2], [4, 3], [6, 2], [10, 1], [12, 2]], 1/1658880], [[[1, 1], [2, 2], [4, 3], [6, 2], [10, 2], [12, 1]], 1/265420800], [[[1, 1], [2, 2], [4, 3], [6, 2], [12, 1], [15, 1]], 1/13271040], [[[1, 1], [2, 2], [4, 3], [6, 2], [12, 1], [16, 1]], 1/442368], [[[1, 1], [2, 2], [4, 3], [6, 2], [12, 1], [20, 1]], 13/1769472], [[[1, 1], [2, 2], [4, 3], [6, 2], [12, 1], [24, 1]], 1/10616832], [[[1, 1], [2, 2], [4, 3], [6, 2], [12, 1], [30, 1]], 1/13271040], [[[1, 1], [2, 2], [4, 3], [6, 3], [12, 1], [18, 1]], 1/23887872], [[[1, 1], [2, 2], [4, 3], [6, 4], [8, 1], [12, 1]], 7/573308928], [[[1, 1], [2, 2], [4, 3], [6, 4], [10, 1], [12, 1]], 1/895795200], [[[1, 1], [2, 2], [4, 3], [7, 1], [12, 1], [14, 1]], 1/8064], [[[1, 1], [2, 2], [4, 3], [8, 1], [10, 1], [16, 1]], 1/20480], [[[1, 1], [2, 2], [4, 3], [8, 1], [10, 2], [12, 1]], 7/2211840], [[[1, 1], [2, 2], [4, 3], [8, 1], [12, 1], [15, 1]], 7/110592], [[[1, 1], [2, 2], [4, 3], [8, 1], [12, 1], [16, 1]], 13/36864], [[[1, 1], [2, 2], [4, 3], [8, 1], [12, 1], [20, 1]], 199/368640], [[[1, 1], [2, 2], [4, 3], [8, 1], [12, 1], [24, 1]], 55/147456], [[[1, 1], [2, 2], [4, 3], [8, 1], [12, 1], [30, 1]], 7/110592], [[[1, 1], [2, 2], [4, 3], [8, 2], [10, 1], [12, 1]], 13/1105920], [[[1, 1], [2, 2], [4, 3], [9, 1], [12, 1], [18, 1]], 1/10368], [[[1, 1], [2, 2], [4, 3], [10, 1], [12, 1], [15, 1]], 1/172800], [[[1, 1], [2, 2], [4, 3], [10, 1], [12, 1], [20, 1]], 13/115200], [[[1, 1], [2, 2], [4, 3], [10, 1], [12, 1], [24, 1]], 7/138240], [[[1, 1], [2, 2], [4, 3], [10, 1], [12, 1], [30, 1]], 1/172800], [[[1, 1], [2, 2], [4, 4], [5, 2], [6, 1], [8, 1]], 1/2654208000], [[[1, 1], [2, 2], [4, 4], [5, 2], [6, 1], [10, 1]], 1/1658880000], [[[1, 1], [2, 2], [4, 4], [5, 2], [6, 1], [12, 1]], 41/1990656000], [[[1, 1], [2, 2], [4, 4], [6, 1], [7, 1], [18, 1]], 1/139345920], [[[1, 1], [2, 2], [4, 4], [6, 1], [8, 1], [10, 2]], 1/2654208000], [[[1, 1], [2, 2], [4, 4], [6, 1], [8, 1], [12, 2]], 3841/1274019840], [[[1, 1], [2, 2], [4, 4], [6, 1], [8, 1], [15, 1]], 1/132710400], [[[1, 1], [2, 2], [4, 4], [6, 1], [8, 1], [16, 1]], 1/294912], [[[1, 1], [2, 2], [4, 4], [6, 1], [8, 1], [20, 1]], 77/17694720], [[[1, 1], [2, 2], [4, 4], [6, 1], [8, 1], [24, 1]], 1/106168320], [[[1, 1], [2, 2], [4, 4], [6, 1], [8, 1], [30, 1]], 1/132710400], [[[1, 1], [2, 2], [4, 4], [6, 1], [8, 2], [10, 1]], 241/530841600], [[[1, 1], [2, 2], [4, 4], [6, 1], [8, 2], [12, 1]], 761/637009920], [[[1, 1], [2, 2], [4, 4], [6, 1], [9, 1], [18, 1]], 1/179159040], [[[1, 1], [2, 2], [4, 4], [6, 1], [10, 1], [12, 2]], 3841/796262400], [[[1, 1], [2, 2], [4, 4], [6, 1], [10, 1], [15, 1]], 1/82944000], [[[1, 1], [2, 2], [4, 4], [6, 1], [10, 1], [20, 1]], 77/11059200], [[[1, 1], [2, 2], [4, 4], [6, 1], [10, 1], [24, 1]], 1/66355200], [[[1, 1], [2, 2], [4, 4], [6, 1], [10, 1], [30, 1]], 1/82944000], [[[1, 1], [2, 2], [4, 4], [6, 1], [10, 2], [12, 1]], 41/1990656000], [[[1, 1], [2, 2], [4, 4], [6, 1], [12, 1], [15, 1]], 41/99532800], [[[1, 1], [2, 2], [4, 4], [6, 1], [12, 1], [20, 1]], 181/13271040], [[[1, 1], [2, 2], [4, 4], [6, 1], [12, 1], [24, 1]], 281/79626240], [[[1, 1], [2, 2], [4, 4], [6, 1], [12, 1], [30, 1]], 41/99532800], [[[1, 1], [2, 2], [4, 4], [6, 1], [14, 1], [18, 1]], 1/69672960], [[[1, 1], [2, 2], [4, 4], [6, 2], [7, 1], [12, 1]], 1/743178240], [[[1, 1], [2, 2], [4, 4], [6, 2], [8, 1], [18, 1]], 1/238878720], [[[1, 1], [2, 2], [4, 4], [6, 2], [9, 1], [12, 1]], 1/955514880], [[[1, 1], [2, 2], [4, 4], [6, 2], [10, 1], [18, 1]], 1/149299200], [[[1, 1], [2, 2], [4, 4], [6, 2], [12, 1], [14, 1]], 1/371589120], [[[1, 1], [2, 2], [4, 4], [6, 2], [12, 1], [18, 1]], 11/47775744], [[[1, 1], [2, 2], [4, 4], [6, 3], [8, 1], [12, 1]], 1/1274019840], [[[1, 1], [2, 2], [4, 4], [6, 3], [10, 1], [12, 1]], 1/796262400], [[[1, 1], [2, 2], [4, 5], [5, 1], [6, 1], [18, 1]], 1/199065600], [[[1, 1], [2, 2], [4, 5], [5, 1], [6, 2], [12, 1]], 1/1061683200], [[[1, 1], [2, 2], [4, 5], [5, 1], [8, 1], [10, 1]], 1/7372800], [[[1, 1], [2, 2], [4, 5], [6, 1], [8, 1], [18, 1]], 203/637009920], [[[1, 1], [2, 2], [4, 5], [6, 1], [10, 1], [18, 1]], 1/199065600], [[[1, 1], [2, 2], [4, 5], [6, 1], [12, 1], [18, 1]], 17/23887872], [[[1, 1], [2, 2], [4, 5], [6, 2], [8, 1], [12, 1]], 203/3397386240], [[[1, 1], [2, 2], [4, 5], [6, 2], [10, 1], [12, 1]], 1/1061683200], [[[1, 1], [2, 2], [4, 6], [6, 1], [8, 1], [12, 1]], 19/955514880], [[[1, 1], [2, 2], [4, 6], [6, 1], [10, 1], [12, 1]], 19/597196800], [[[1, 1], [2, 2], [5, 2], [6, 1], [7, 1], [18, 1]], 1/1814400], [[[1, 1], [2, 2], [5, 2], [6, 1], [8, 1], [10, 2]], 301/34560000], [[[1, 1], [2, 2], [5, 2], [6, 1], [8, 1], [12, 2]], 1/16588800], [[[1, 1], [2, 2], [5, 2], [6, 1], [8, 1], [15, 1]], 1/1728000], [[[1, 1], [2, 2], [5, 2], [6, 1], [8, 1], [20, 1]], 1/1152000], [[[1, 1], [2, 2], [5, 2], [6, 1], [8, 1], [24, 1]], 1/1382400], [[[1, 1], [2, 2], [5, 2], [6, 1], [8, 1], [30, 1]], 1/1728000], [[[1, 1], [2, 2], [5, 2], [6, 1], [8, 2], [10, 1]], 1/6912000], [[[1, 1], [2, 2], [5, 2], [6, 1], [8, 2], [12, 1]], 1/8294400], [[[1, 1], [2, 2], [5, 2], [6, 1], [9, 1], [18, 1]], 1/2332800], [[[1, 1], [2, 2], [5, 2], [6, 1], [10, 1], [12, 2]], 1/10368000], [[[1, 1], [2, 2], [5, 2], [6, 1], [10, 1], [15, 1]], 1/1080000], [[[1, 1], [2, 2], [5, 2], [6, 1], [10, 1], [20, 1]], 1/720000], [[[1, 1], [2, 2], [5, 2], [6, 1], [10, 1], [24, 1]], 1/864000], [[[1, 1], [2, 2], [5, 2], [6, 1], [10, 1], [30, 1]], 1/1080000], [[[1, 1], [2, 2], [5, 2], [6, 1], [10, 2], [12, 1]], 301/25920000], [[[1, 1], [2, 2], [5, 2], [6, 1], [12, 1], [15, 1]], 1/1296000], [[[1, 1], [2, 2], [5, 2], [6, 1], [12, 1], [20, 1]], 1/864000], [[[1, 1], [2, 2], [5, 2], [6, 1], [12, 1], [24, 1]], 1/1036800], [[[1, 1], [2, 2], [5, 2], [6, 1], [12, 1], [30, 1]], 1/1296000], [[[1, 1], [2, 2], [5, 2], [6, 1], [14, 1], [18, 1]], 1/907200], [[[1, 1], [2, 2], [5, 2], [6, 2], [7, 1], [12, 1]], 1/9676800], [[[1, 1], [2, 2], [5, 2], [6, 2], [8, 1], [18, 1]], 1/3110400], [[[1, 1], [2, 2], [5, 2], [6, 2], [9, 1], [12, 1]], 1/12441600], [[[1, 1], [2, 2], [5, 2], [6, 2], [10, 1], [18, 1]], 1/1944000], [[[1, 1], [2, 2], [5, 2], [6, 2], [12, 1], [14, 1]], 1/4838400], [[[1, 1], [2, 2], [5, 2], [6, 2], [12, 1], [18, 1]], 1/1866240], [[[1, 1], [2, 2], [5, 2], [6, 3], [8, 1], [12, 1]], 1/16588800], [[[1, 1], [2, 2], [5, 2], [6, 3], [10, 1], [12, 1]], 1/10368000], [[[1, 1], [2, 2], [6, 1], [7, 1], [8, 2], [18, 1]], 1/580608], [[[1, 1], [2, 2], [6, 1], [7, 1], [10, 2], [18, 1]], 1/1814400], [[[1, 1], [2, 2], [6, 1], [7, 1], [12, 2], [18, 1]], 1/870912], [[[1, 1], [2, 2], [6, 1], [7, 1], [15, 1], [18, 1]], 1/90720], [[[1, 1], [2, 2], [6, 1], [7, 1], [18, 1], [20, 1]], 1/60480], [[[1, 1], [2, 2], [6, 1], [7, 1], [18, 1], [24, 1]], 1/72576], [[[1, 1], [2, 2], [6, 1], [7, 1], [18, 1], [30, 1]], 1/90720], [[[1, 1], [2, 2], [6, 1], [8, 1], [10, 2], [12, 2]], 1/16588800], [[[1, 1], [2, 2], [6, 1], [8, 1], [10, 2], [15, 1]], 1/1728000], [[[1, 1], [2, 2], [6, 1], [8, 1], [10, 2], [20, 1]], 1/1152000], [[[1, 1], [2, 2], [6, 1], [8, 1], [10, 2], [24, 1]], 1/1382400], [[[1, 1], [2, 2], [6, 1], [8, 1], [10, 2], [30, 1]], 1/1728000], [[[1, 1], [2, 2], [6, 1], [8, 1], [12, 1], [36, 1]], 1/10368], [[[1, 1], [2, 2], [6, 1], [8, 1], [12, 2], [15, 1]], 1/829440], [[[1, 1], [2, 2], [6, 1], [8, 1], [12, 2], [20, 1]], 1/552960], [[[1, 1], [2, 2], [6, 1], [8, 1], [12, 2], [24, 1]], 13/663552], [[[1, 1], [2, 2], [6, 1], [8, 1], [12, 2], [30, 1]], 1/829440], [[[1, 1], [2, 2], [6, 1], [8, 1], [15, 1], [20, 1]], 1/57600], [[[1, 1], [2, 2], [6, 1], [8, 1], [15, 1], [24, 1]], 1/69120], [[[1, 1], [2, 2], [6, 1], [8, 1], [15, 1], [30, 1]], 1/5400], [[[1, 1], [2, 2], [6, 1], [8, 1], [20, 1], [24, 1]], 1/46080], [[[1, 1], [2, 2], [6, 1], [8, 1], [20, 1], [30, 1]], 1/57600], [[[1, 1], [2, 2], [6, 1], [8, 1], [24, 1], [30, 1]], 1/69120], [[[1, 1], [2, 2], [6, 1], [8, 2], [9, 1], [18, 1]], 1/746496], [[[1, 1], [2, 2], [6, 1], [8, 2], [10, 1], [12, 2]], 1/3317760], [[[1, 1], [2, 2], [6, 1], [8, 2], [10, 1], [15, 1]], 1/345600], [[[1, 1], [2, 2], [6, 1], [8, 2], [10, 1], [20, 1]], 1/230400], [[[1, 1], [2, 2], [6, 1], [8, 2], [10, 1], [24, 1]], 11/92160], [[[1, 1], [2, 2], [6, 1], [8, 2], [10, 1], [30, 1]], 1/345600], [[[1, 1], [2, 2], [6, 1], [8, 2], [10, 2], [12, 1]], 1/8294400], [[[1, 1], [2, 2], [6, 1], [8, 2], [12, 1], [15, 1]], 1/414720], [[[1, 1], [2, 2], [6, 1], [8, 2], [12, 1], [20, 1]], 1/276480], [[[1, 1], [2, 2], [6, 1], [8, 2], [12, 1], [24, 1]], 11/110592], [[[1, 1], [2, 2], [6, 1], [8, 2], [12, 1], [30, 1]], 1/414720], [[[1, 1], [2, 2], [6, 1], [8, 2], [14, 1], [18, 1]], 1/290304], [[[1, 1], [2, 2], [6, 1], [9, 1], [10, 2], [18, 1]], 1/2332800], [[[1, 1], [2, 2], [6, 1], [9, 1], [12, 2], [18, 1]], 1/1119744], [[[1, 1], [2, 2], [6, 1], [9, 1], [15, 1], [18, 1]], 1/116640], [[[1, 1], [2, 2], [6, 1], [9, 1], [18, 1], [20, 1]], 1/77760], [[[1, 1], [2, 2], [6, 1], [9, 1], [18, 1], [24, 1]], 1/93312], [[[1, 1], [2, 2], [6, 1], [9, 1], [18, 1], [30, 1]], 1/116640], [[[1, 1], [2, 2], [6, 1], [10, 1], [12, 1], [36, 1]], 1/6480], [[[1, 1], [2, 2], [6, 1], [10, 1], [12, 2], [15, 1]], 1/518400], [[[1, 1], [2, 2], [6, 1], [10, 1], [12, 2], [20, 1]], 1/345600], [[[1, 1], [2, 2], [6, 1], [10, 1], [12, 2], [24, 1]], 13/414720], [[[1, 1], [2, 2], [6, 1], [10, 1], [12, 2], [30, 1]], 1/518400], [[[1, 1], [2, 2], [6, 1], [10, 1], [15, 1], [20, 1]], 1/36000], [[[1, 1], [2, 2], [6, 1], [10, 1], [15, 1], [24, 1]], 1/43200], [[[1, 1], [2, 2], [6, 1], [10, 1], [15, 1], [30, 1]], 1/3375], [[[1, 1], [2, 2], [6, 1], [10, 1], [20, 1], [24, 1]], 1/28800], [[[1, 1], [2, 2], [6, 1], [10, 1], [20, 1], [30, 1]], 1/36000], [[[1, 1], [2, 2], [6, 1], [10, 1], [24, 1], [30, 1]], 1/43200], [[[1, 1], [2, 2], [6, 1], [10, 2], [12, 1], [15, 1]], 1/1296000], [[[1, 1], [2, 2], [6, 1], [10, 2], [12, 1], [20, 1]], 1/864000], [[[1, 1], [2, 2], [6, 1], [10, 2], [12, 1], [24, 1]], 1/1036800], [[[1, 1], [2, 2], [6, 1], [10, 2], [12, 1], [30, 1]], 1/1296000], [[[1, 1], [2, 2], [6, 1], [10, 2], [14, 1], [18, 1]], 1/907200], [[[1, 1], [2, 2], [6, 1], [12, 1], [15, 1], [20, 1]], 1/43200], [[[1, 1], [2, 2], [6, 1], [12, 1], [15, 1], [24, 1]], 1/51840], [[[1, 1], [2, 2], [6, 1], [12, 1], [15, 1], [30, 1]], 1/4050], [[[1, 1], [2, 2], [6, 1], [12, 1], [20, 1], [24, 1]], 1/34560], [[[1, 1], [2, 2], [6, 1], [12, 1], [20, 1], [30, 1]], 1/43200], [[[1, 1], [2, 2], [6, 1], [12, 1], [24, 1], [30, 1]], 1/51840], [[[1, 1], [2, 2], [6, 1], [12, 2], [14, 1], [18, 1]], 1/435456], [[[1, 1], [2, 2], [6, 1], [14, 1], [15, 1], [18, 1]], 1/45360], [[[1, 1], [2, 2], [6, 1], [14, 1], [18, 1], [20, 1]], 1/30240], [[[1, 1], [2, 2], [6, 1], [14, 1], [18, 1], [24, 1]], 1/36288], [[[1, 1], [2, 2], [6, 1], [14, 1], [18, 1], [30, 1]], 1/45360], [[[1, 1], [2, 2], [6, 2], [7, 1], [8, 2], [12, 1]], 1/3096576], [[[1, 1], [2, 2], [6, 2], [7, 1], [10, 2], [12, 1]], 1/9676800], [[[1, 1], [2, 2], [6, 2], [7, 1], [12, 1], [15, 1]], 1/483840], [[[1, 1], [2, 2], [6, 2], [7, 1], [12, 1], [20, 1]], 1/322560], [[[1, 1], [2, 2], [6, 2], [7, 1], [12, 1], [24, 1]], 1/387072], [[[1, 1], [2, 2], [6, 2], [7, 1], [12, 1], [30, 1]], 1/483840], [[[1, 1], [2, 2], [6, 2], [8, 1], [10, 2], [18, 1]], 1/3110400], [[[1, 1], [2, 2], [6, 2], [8, 1], [12, 2], [18, 1]], 1/1492992], [[[1, 1], [2, 2], [6, 2], [8, 1], [15, 1], [18, 1]], 1/155520], [[[1, 1], [2, 2], [6, 2], [8, 1], [18, 1], [20, 1]], 1/103680], [[[1, 1], [2, 2], [6, 2], [8, 1], [18, 1], [24, 1]], 1/124416], [[[1, 1], [2, 2], [6, 2], [8, 1], [18, 1], [30, 1]], 1/155520], [[[1, 1], [2, 2], [6, 2], [8, 2], [9, 1], [12, 1]], 1/3981312], [[[1, 1], [2, 2], [6, 2], [8, 2], [10, 1], [18, 1]], 1/622080], [[[1, 1], [2, 2], [6, 2], [8, 2], [12, 1], [14, 1]], 1/1548288], [[[1, 1], [2, 2], [6, 2], [8, 2], [12, 1], [18, 1]], 5/2985984], [[[1, 1], [2, 2], [6, 2], [9, 1], [10, 2], [12, 1]], 1/12441600], [[[1, 1], [2, 2], [6, 2], [9, 1], [12, 1], [15, 1]], 1/622080], [[[1, 1], [2, 2], [6, 2], [9, 1], [12, 1], [20, 1]], 1/414720], [[[1, 1], [2, 2], [6, 2], [9, 1], [12, 1], [24, 1]], 1/497664], [[[1, 1], [2, 2], [6, 2], [9, 1], [12, 1], [30, 1]], 1/622080], [[[1, 1], [2, 2], [6, 2], [10, 1], [12, 2], [18, 1]], 1/933120], [[[1, 1], [2, 2], [6, 2], [10, 1], [15, 1], [18, 1]], 1/97200], [[[1, 1], [2, 2], [6, 2], [10, 1], [18, 1], [20, 1]], 1/64800], [[[1, 1], [2, 2], [6, 2], [10, 1], [18, 1], [24, 1]], 1/77760], [[[1, 1], [2, 2], [6, 2], [10, 1], [18, 1], [30, 1]], 271/97200], [[[1, 1], [2, 2], [6, 2], [10, 2], [12, 1], [14, 1]], 1/4838400], [[[1, 1], [2, 2], [6, 2], [10, 2], [12, 1], [18, 1]], 1/1866240], [[[1, 1], [2, 2], [6, 2], [12, 1], [14, 1], [15, 1]], 1/241920], [[[1, 1], [2, 2], [6, 2], [12, 1], [14, 1], [20, 1]], 1/161280], [[[1, 1], [2, 2], [6, 2], [12, 1], [14, 1], [24, 1]], 1/193536], [[[1, 1], [2, 2], [6, 2], [12, 1], [14, 1], [30, 1]], 1/241920], [[[1, 1], [2, 2], [6, 2], [12, 1], [15, 1], [18, 1]], 1/93312], [[[1, 1], [2, 2], [6, 2], [12, 1], [18, 1], [20, 1]], 1/62208], [[[1, 1], [2, 2], [6, 2], [12, 1], [18, 1], [24, 1]], 5/373248], [[[1, 1], [2, 2], [6, 2], [12, 1], [18, 1], [30, 1]], 1/93312], [[[1, 1], [2, 2], [6, 3], [7, 1], [12, 1], [18, 1]], 1/870912], [[[1, 1], [2, 2], [6, 3], [8, 1], [10, 2], [12, 1]], 1/16588800], [[[1, 1], [2, 2], [6, 3], [8, 1], [12, 1], [15, 1]], 1/829440], [[[1, 1], [2, 2], [6, 3], [8, 1], [12, 1], [20, 1]], 1/552960], [[[1, 1], [2, 2], [6, 3], [8, 1], [12, 1], [24, 1]], 1/663552], [[[1, 1], [2, 2], [6, 3], [8, 1], [12, 1], [30, 1]], 1/829440], [[[1, 1], [2, 2], [6, 3], [8, 2], [10, 1], [12, 1]], 1/3317760], [[[1, 1], [2, 2], [6, 3], [9, 1], [12, 1], [18, 1]], 1/1119744], [[[1, 1], [2, 2], [6, 3], [10, 1], [12, 1], [15, 1]], 1/518400], [[[1, 1], [2, 2], [6, 3], [10, 1], [12, 1], [20, 1]], 1/345600], [[[1, 1], [2, 2], [6, 3], [10, 1], [12, 1], [24, 1]], 1/414720], [[[1, 1], [2, 2], [6, 3], [10, 1], [12, 1], [30, 1]], 1/518400], [[[1, 1], [2, 2], [6, 3], [12, 1], [14, 1], [18, 1]], 1/435456], [[[1, 1], [2, 2], [6, 4], [8, 1], [12, 1], [18, 1]], 1/1492992], [[[1, 1], [2, 2], [6, 4], [10, 1], [12, 1], [18, 1]], 1/933120], [[[1, 1], [2, 4], [3, 1], [4, 1], [5, 1], [8, 3]], 1/2949120], [[[1, 1], [2, 4], [3, 1], [4, 1], [5, 2], [6, 4]], 161/107495424000], [[[1, 1], [2, 4], [3, 1], [4, 1], [5, 2], [8, 2]], 19/132710400], [[[1, 1], [2, 4], [3, 1], [4, 1], [5, 2], [10, 2]], 301/414720000], [[[1, 1], [2, 4], [3, 1], [4, 1], [5, 2], [12, 2]], 1/199065600], [[[1, 1], [2, 4], [3, 1], [4, 1], [5, 2], [15, 1]], 1/20736000], [[[1, 1], [2, 4], [3, 1], [4, 1], [5, 2], [20, 1]], 1/13824000], [[[1, 1], [2, 4], [3, 1], [4, 1], [5, 2], [24, 1]], 1/16588800], [[[1, 1], [2, 4], [3, 1], [4, 1], [5, 2], [30, 1]], 1/20736000], [[[1, 1], [2, 4], [3, 1], [4, 1], [5, 3], [8, 1]], 1/9216000], [[[1, 1], [2, 4], [3, 1], [4, 1], [6, 2], [8, 3]], 1/14155776], [[[1, 1], [2, 4], [3, 1], [4, 1], [6, 2], [10, 3]], 1/5184000], [[[1, 1], [2, 4], [3, 1], [4, 1], [6, 2], [12, 3]], 593/95551488], [[[1, 1], [2, 4], [3, 1], [4, 1], [6, 2], [18, 2]], 1/746496], [[[1, 1], [2, 4], [3, 1], [4, 1], [6, 4], [8, 2]], 179/34398535680], [[[1, 1], [2, 4], [3, 1], [4, 1], [6, 4], [10, 2]], 161/107495424000], [[[1, 1], [2, 4], [3, 1], [4, 1], [6, 4], [12, 2]], 14831/51597803520], [[[1, 1], [2, 4], [3, 1], [4, 1], [6, 4], [15, 1]], 161/5374771200], [[[1, 1], [2, 4], [3, 1], [4, 1], [6, 4], [16, 1]], 1/1492992], [[[1, 1], [2, 4], [3, 1], [4, 1], [6, 4], [20, 1]], 161/3583180800], [[[1, 1], [2, 4], [3, 1], [4, 1], [6, 4], [24, 1]], 3041/4299816960], [[[1, 1], [2, 4], [3, 1], [4, 1], [6, 4], [30, 1]], 161/5374771200], [[[1, 1], [2, 4], [3, 1], [4, 1], [6, 5], [9, 1]], 1/3224862720], [[[1, 1], [2, 4], [3, 1], [4, 1], [6, 5], [14, 1]], 1/627056640], [[[1, 1], [2, 4], [3, 1], [4, 1], [6, 5], [18, 1]], 11/644972544], [[[1, 1], [2, 4], [3, 1], [4, 1], [6, 6], [8, 1]], 1/11466178560], [[[1, 1], [2, 4], [3, 1], [4, 1], [6, 6], [10, 1]], 1/1343692800], [[[1, 1], [2, 4], [3, 1], [4, 1], [6, 6], [12, 1]], 59/17199267840], [[[1, 1], [2, 4], [3, 1], [4, 1], [8, 1], [9, 2]], 1/497664], [[[1, 1], [2, 4], [3, 1], [4, 1], [8, 1], [12, 3]], 1/3538944], [[[1, 1], [2, 4], [3, 1], [4, 1], [8, 2], [10, 2]], 19/132710400], [[[1, 1], [2, 4], [3, 1], [4, 1], [8, 2], [12, 2]], 19/63700992], [[[1, 1], [2, 4], [3, 1], [4, 1], [8, 2], [15, 1]], 19/6635520], [[[1, 1], [2, 4], [3, 1], [4, 1], [8, 2], [20, 1]], 19/4423680], [[[1, 1], [2, 4], [3, 1], [4, 1], [8, 2], [24, 1]], 17/1769472], [[[1, 1], [2, 4], [3, 1], [4, 1], [8, 2], [30, 1]], 19/6635520], [[[1, 1], [2, 4], [3, 1], [4, 1], [8, 3], [12, 1]], 1/2359296], [[[1, 1], [2, 4], [3, 1], [4, 1], [10, 2], [12, 2]], 1/199065600], [[[1, 1], [2, 4], [3, 1], [4, 1], [10, 2], [15, 1]], 1/20736000], [[[1, 1], [2, 4], [3, 1], [4, 1], [10, 2], [20, 1]], 1/13824000], [[[1, 1], [2, 4], [3, 1], [4, 1], [10, 2], [24, 1]], 1/16588800], [[[1, 1], [2, 4], [3, 1], [4, 1], [10, 2], [30, 1]], 1/20736000], [[[1, 1], [2, 4], [3, 1], [4, 1], [12, 1], [36, 1]], 1/124416], [[[1, 1], [2, 4], [3, 1], [4, 1], [12, 2], [15, 1]], 1/9953280], [[[1, 1], [2, 4], [3, 1], [4, 1], [12, 2], [20, 1]], 1/6635520], [[[1, 1], [2, 4], [3, 1], [4, 1], [12, 2], [24, 1]], 13/7962624], [[[1, 1], [2, 4], [3, 1], [4, 1], [12, 2], [30, 1]], 1/9953280], [[[1, 1], [2, 4], [3, 1], [4, 1], [15, 1], [20, 1]], 1/691200], [[[1, 1], [2, 4], [3, 1], [4, 1], [15, 1], [24, 1]], 1/829440], [[[1, 1], [2, 4], [3, 1], [4, 1], [15, 1], [30, 1]], 1/64800], [[[1, 1], [2, 4], [3, 1], [4, 1], [20, 1], [24, 1]], 1/552960], [[[1, 1], [2, 4], [3, 1], [4, 1], [20, 1], [30, 1]], 1/691200], [[[1, 1], [2, 4], [3, 1], [4, 1], [24, 1], [30, 1]], 1/829440], [[[1, 1], [2, 4], [3, 1], [4, 2], [5, 1], [6, 5]], 1/10749542400], [[[1, 1], [2, 4], [3, 1], [4, 2], [5, 2], [6, 3]], 1/199065600], [[[1, 1], [2, 4], [3, 1], [4, 2], [5, 2], [9, 1]], 13/1194393600], [[[1, 1], [2, 4], [3, 1], [4, 2], [5, 3], [6, 1]], 1/41472000], [[[1, 1], [2, 4], [3, 1], [4, 2], [6, 1], [8, 3]], 1/2654208], [[[1, 1], [2, 4], [3, 1], [4, 2], [6, 1], [9, 2]], 1/2239488], [[[1, 1], [2, 4], [3, 1], [4, 2], [6, 1], [12, 3]], 209/143327232], [[[1, 1], [2, 4], [3, 1], [4, 2], [6, 1], [28, 1]], 1/16128], [[[1, 1], [2, 4], [3, 1], [4, 2], [6, 1], [36, 1]], 1/62208], [[[1, 1], [2, 4], [3, 1], [4, 2], [6, 3], [8, 2]], 1/63700992], [[[1, 1], [2, 4], [3, 1], [4, 2], [6, 3], [10, 2]], 1/199065600], [[[1, 1], [2, 4], [3, 1], [4, 2], [6, 3], [12, 2]], 93679/859963392], [[[1, 1], [2, 4], [3, 1], [4, 2], [6, 3], [15, 1]], 1/9953280], [[[1, 1], [2, 4], [3, 1], [4, 2], [6, 3], [20, 1]], 1/6635520], [[[1, 1], [2, 4], [3, 1], [4, 2], [6, 3], [24, 1]], 1/7962624], [[[1, 1], [2, 4], [3, 1], [4, 2], [6, 3], [30, 1]], 1/9953280], [[[1, 1], [2, 4], [3, 1], [4, 2], [6, 4], [9, 1]], 2573/309586821120], [[[1, 1], [2, 4], [3, 1], [4, 2], [6, 4], [18, 1]], 1/17915904], [[[1, 1], [2, 4], [3, 1], [4, 2], [6, 5], [8, 1]], 1/2149908480], [[[1, 1], [2, 4], [3, 1], [4, 2], [6, 5], [12, 1]], 361/25798901760], [[[1, 1], [2, 4], [3, 1], [4, 2], [8, 2], [9, 1]], 2281/382205952], [[[1, 1], [2, 4], [3, 1], [4, 2], [9, 1], [10, 2]], 13/1194393600], [[[1, 1], [2, 4], [3, 1], [4, 2], [9, 1], [12, 2]], 13/573308928], [[[1, 1], [2, 4], [3, 1], [4, 2], [9, 1], [15, 1]], 13/59719680], [[[1, 1], [2, 4], [3, 1], [4, 2], [9, 1], [20, 1]], 13/39813120], [[[1, 1], [2, 4], [3, 1], [4, 2], [9, 1], [24, 1]], 13/47775744], [[[1, 1], [2, 4], [3, 1], [4, 2], [9, 1], [30, 1]], 13/59719680], [[[1, 1], [2, 4], [3, 1], [4, 2], [12, 2], [14, 1]], 1/193536], [[[1, 1], [2, 4], [3, 1], [4, 2], [12, 2], [18, 1]], 1/746496], [[[1, 1], [2, 4], [3, 1], [4, 3], [5, 2], [6, 2]], 1/49766400], [[[1, 1], [2, 4], [3, 1], [4, 3], [5, 2], [12, 1]], 1/49766400], [[[1, 1], [2, 4], [3, 1], [4, 3], [6, 2], [8, 2]], 1/15925248], [[[1, 1], [2, 4], [3, 1], [4, 3], [6, 2], [10, 2]], 1/49766400], [[[1, 1], [2, 4], [3, 1], [4, 3], [6, 2], [12, 2]], 19/1327104], [[[1, 1], [2, 4], [3, 1], [4, 3], [6, 2], [15, 1]], 1/2488320], [[[1, 1], [2, 4], [3, 1], [4, 3], [6, 2], [16, 1]], 1/110592], [[[1, 1], [2, 4], [3, 1], [4, 3], [6, 2], [20, 1]], 1/1658880], [[[1, 1], [2, 4], [3, 1], [4, 3], [6, 2], [24, 1]], 19/1990656], [[[1, 1], [2, 4], [3, 1], [4, 3], [6, 2], [30, 1]], 1/2488320], [[[1, 1], [2, 4], [3, 1], [4, 3], [6, 3], [9, 1]], 1/644972544], [[[1, 1], [2, 4], [3, 1], [4, 3], [6, 3], [18, 1]], 1/4478976], [[[1, 1], [2, 4], [3, 1], [4, 3], [6, 4], [8, 1]], 1/17915904], [[[1, 1], [2, 4], [3, 1], [4, 3], [6, 4], [12, 1]], 3581/12899450880], [[[1, 1], [2, 4], [3, 1], [4, 3], [8, 1], [12, 2]], 1/884736], [[[1, 1], [2, 4], [3, 1], [4, 3], [8, 1], [16, 1]], 1/294912], [[[1, 1], [2, 4], [3, 1], [4, 3], [8, 2], [12, 1]], 31/15925248], [[[1, 1], [2, 4], [3, 1], [4, 3], [9, 1], [14, 1]], 1/2322432], [[[1, 1], [2, 4], [3, 1], [4, 3], [9, 1], [18, 1]], 1/8957952], [[[1, 1], [2, 4], [3, 1], [4, 3], [10, 2], [12, 1]], 1/49766400], [[[1, 1], [2, 4], [3, 1], [4, 3], [12, 1], [15, 1]], 1/2488320], [[[1, 1], [2, 4], [3, 1], [4, 3], [12, 1], [20, 1]], 13/1658880], [[[1, 1], [2, 4], [3, 1], [4, 3], [12, 1], [24, 1]], 7/1990656], [[[1, 1], [2, 4], [3, 1], [4, 3], [12, 1], [30, 1]], 1/2488320], [[[1, 1], [2, 4], [3, 1], [4, 4], [5, 1], [6, 3]], 1/42998169600], [[[1, 1], [2, 4], [3, 1], [4, 4], [5, 1], [14, 1]], 1/154828800], [[[1, 1], [2, 4], [3, 1], [4, 4], [5, 1], [18, 1]], 1/597196800], [[[1, 1], [2, 4], [3, 1], [4, 4], [5, 2], [6, 1]], 1/7962624000], [[[1, 1], [2, 4], [3, 1], [4, 4], [6, 1], [8, 2]], 8881/2548039680], [[[1, 1], [2, 4], [3, 1], [4, 4], [6, 1], [10, 2]], 1/7962624000], [[[1, 1], [2, 4], [3, 1], [4, 4], [6, 1], [12, 2]], 4807/3822059520], [[[1, 1], [2, 4], [3, 1], [4, 4], [6, 1], [15, 1]], 1/398131200], [[[1, 1], [2, 4], [3, 1], [4, 4], [6, 1], [20, 1]], 77/53084160], [[[1, 1], [2, 4], [3, 1], [4, 4], [6, 1], [24, 1]], 1/318504960], [[[1, 1], [2, 4], [3, 1], [4, 4], [6, 1], [30, 1]], 1/398131200], [[[1, 1], [2, 4], [3, 1], [4, 4], [6, 2], [9, 1]], 187/12899450880], [[[1, 1], [2, 4], [3, 1], [4, 4], [6, 2], [14, 1]], 1/743178240], [[[1, 1], [2, 4], [3, 1], [4, 4], [6, 2], [18, 1]], 1/573308928], [[[1, 1], [2, 4], [3, 1], [4, 4], [6, 3], [8, 1]], 1/34398535680], [[[1, 1], [2, 4], [3, 1], [4, 4], [6, 3], [10, 1]], 1/1592524800], [[[1, 1], [2, 4], [3, 1], [4, 4], [6, 3], [12, 1]], 1459/34398535680], [[[1, 1], [2, 4], [3, 1], [4, 4], [8, 1], [9, 1]], 181/1911029760], [[[1, 1], [2, 4], [3, 1], [4, 4], [8, 1], [14, 1]], 1/123863040], [[[1, 1], [2, 4], [3, 1], [4, 4], [8, 1], [18, 1]], 1/477757440], [[[1, 1], [2, 4], [3, 1], [4, 4], [9, 1], [10, 1]], 11/5971968000], [[[1, 1], [2, 4], [3, 1], [4, 4], [9, 1], [12, 1]], 13/143327232], [[[1, 1], [2, 4], [3, 1], [4, 4], [12, 1], [14, 1]], 1/123863040], [[[1, 1], [2, 4], [3, 1], [4, 4], [12, 1], [18, 1]], 1/477757440], [[[1, 1], [2, 4], [3, 1], [4, 5], [5, 1], [8, 1]], 1/707788800], [[[1, 1], [2, 4], [3, 1], [4, 5], [6, 1], [9, 1]], 7/318504960], [[[1, 1], [2, 4], [3, 1], [4, 5], [6, 1], [14, 1]], 1/185794560], [[[1, 1], [2, 4], [3, 1], [4, 5], [6, 1], [18, 1]], 1/573308928], [[[1, 1], [2, 4], [3, 1], [4, 5], [6, 2], [8, 1]], 2561/3397386240], [[[1, 1], [2, 4], [3, 1], [4, 5], [6, 2], [10, 1]], 1/398131200], [[[1, 1], [2, 4], [3, 1], [4, 5], [6, 2], [12, 1]], 16219/5096079360], [[[1, 1], [2, 4], [3, 1], [4, 5], [8, 1], [12, 1]], 1/566231040], [[[1, 1], [2, 4], [3, 1], [4, 6], [5, 1], [6, 1]], 1/3185049600], [[[1, 1], [2, 4], [3, 1], [4, 6], [6, 1], [8, 1]], 1/637009920], [[[1, 1], [2, 4], [3, 1], [4, 6], [6, 1], [12, 1]], 161/22932357120], [[[1, 1], [2, 4], [3, 1], [5, 1], [6, 1], [10, 3]], 1/4320000], [[[1, 1], [2, 4], [3, 1], [5, 1], [6, 1], [12, 3]], 1/4976640], [[[1, 1], [2, 4], [3, 1], [5, 1], [6, 1], [18, 2]], 1/699840], [[[1, 1], [2, 4], [3, 1], [5, 1], [6, 3], [8, 2]], 1/179159040], [[[1, 1], [2, 4], [3, 1], [5, 1], [6, 3], [10, 2]], 1/559872000], [[[1, 1], [2, 4], [3, 1], [5, 1], [6, 3], [12, 2]], 11/53747712], [[[1, 1], [2, 4], [3, 1], [5, 1], [6, 3], [15, 1]], 1/27993600], [[[1, 1], [2, 4], [3, 1], [5, 1], [6, 3], [20, 1]], 1/18662400], [[[1, 1], [2, 4], [3, 1], [5, 1], [6, 3], [24, 1]], 1/22394880], [[[1, 1], [2, 4], [3, 1], [5, 1], [6, 3], [30, 1]], 1/27993600], [[[1, 1], [2, 4], [3, 1], [5, 1], [6, 4], [14, 1]], 1/522547200], [[[1, 1], [2, 4], [3, 1], [5, 1], [6, 4], [18, 1]], 41/2015539200], [[[1, 1], [2, 4], [3, 1], [5, 1], [6, 5], [10, 1]], 1/1119744000], [[[1, 1], [2, 4], [3, 1], [5, 1], [6, 5], [12, 1]], 11/2687385600], [[[1, 1], [2, 4], [3, 1], [5, 1], [8, 2], [14, 1]], 1/645120], [[[1, 1], [2, 4], [3, 1], [5, 1], [8, 2], [18, 1]], 1/2488320], [[[1, 1], [2, 4], [3, 1], [5, 1], [10, 2], [14, 1]], 1/2016000], [[[1, 1], [2, 4], [3, 1], [5, 1], [10, 2], [18, 1]], 1/7776000], [[[1, 1], [2, 4], [3, 1], [5, 1], [12, 2], [14, 1]], 1/967680], [[[1, 1], [2, 4], [3, 1], [5, 1], [12, 2], [18, 1]], 1/3732480], [[[1, 1], [2, 4], [3, 1], [5, 1], [14, 1], [15, 1]], 1/100800], [[[1, 1], [2, 4], [3, 1], [5, 1], [14, 1], [20, 1]], 1/67200], [[[1, 1], [2, 4], [3, 1], [5, 1], [14, 1], [24, 1]], 1/80640], [[[1, 1], [2, 4], [3, 1], [5, 1], [14, 1], [30, 1]], 1/100800], [[[1, 1], [2, 4], [3, 1], [5, 1], [15, 1], [18, 1]], 1/388800], [[[1, 1], [2, 4], [3, 1], [5, 1], [18, 1], [20, 1]], 1/259200], [[[1, 1], [2, 4], [3, 1], [5, 1], [18, 1], [24, 1]], 1/311040], [[[1, 1], [2, 4], [3, 1], [5, 1], [18, 1], [30, 1]], 1/388800], [[[1, 1], [2, 4], [3, 1], [5, 2], [6, 1], [8, 2]], 1/33177600], [[[1, 1], [2, 4], [3, 1], [5, 2], [6, 1], [10, 2]], 301/103680000], [[[1, 1], [2, 4], [3, 1], [5, 2], [6, 1], [12, 2]], 7/49766400], [[[1, 1], [2, 4], [3, 1], [5, 2], [6, 1], [15, 1]], 1/5184000], [[[1, 1], [2, 4], [3, 1], [5, 2], [6, 1], [20, 1]], 1/3456000], [[[1, 1], [2, 4], [3, 1], [5, 2], [6, 1], [24, 1]], 1/4147200], [[[1, 1], [2, 4], [3, 1], [5, 2], [6, 1], [30, 1]], 1/5184000], [[[1, 1], [2, 4], [3, 1], [5, 2], [6, 2], [9, 1]], 7/167961600], [[[1, 1], [2, 4], [3, 1], [5, 2], [6, 2], [14, 1]], 1/9676800], [[[1, 1], [2, 4], [3, 1], [5, 2], [6, 2], [18, 1]], 1/7464960], [[[1, 1], [2, 4], [3, 1], [5, 2], [6, 3], [8, 1]], 1/447897600], [[[1, 1], [2, 4], [3, 1], [5, 2], [6, 3], [10, 1]], 1/20736000], [[[1, 1], [2, 4], [3, 1], [5, 2], [6, 3], [12, 1]], 19/447897600], [[[1, 1], [2, 4], [3, 1], [5, 2], [8, 1], [9, 1]], 1/24883200], [[[1, 1], [2, 4], [3, 1], [5, 2], [8, 1], [14, 1]], 1/1612800], [[[1, 1], [2, 4], [3, 1], [5, 2], [8, 1], [18, 1]], 1/6220800], [[[1, 1], [2, 4], [3, 1], [5, 2], [9, 1], [10, 1]], 11/77760000], [[[1, 1], [2, 4], [3, 1], [5, 2], [12, 1], [14, 1]], 1/1612800], [[[1, 1], [2, 4], [3, 1], [5, 2], [12, 1], [18, 1]], 1/6220800], [[[1, 1], [2, 4], [3, 1], [5, 3], [6, 1], [10, 1]], 1/4320000], [[[1, 1], [2, 4], [3, 1], [5, 3], [6, 1], [12, 1]], 1/10368000], [[[1, 1], [2, 4], [3, 1], [6, 1], [8, 1], [10, 3]], 1/3456000], [[[1, 1], [2, 4], [3, 1], [6, 1], [8, 1], [12, 3]], 1/3981312], [[[1, 1], [2, 4], [3, 1], [6, 1], [8, 1], [18, 2]], 1/559872], [[[1, 1], [2, 4], [3, 1], [6, 1], [8, 2], [10, 2]], 1/33177600], [[[1, 1], [2, 4], [3, 1], [6, 1], [8, 2], [12, 2]], 7/15925248], [[[1, 1], [2, 4], [3, 1], [6, 1], [8, 2], [15, 1]], 1/1658880], [[[1, 1], [2, 4], [3, 1], [6, 1], [8, 2], [20, 1]], 1/1105920], [[[1, 1], [2, 4], [3, 1], [6, 1], [8, 2], [24, 1]], 11/442368], [[[1, 1], [2, 4], [3, 1], [6, 1], [8, 2], [30, 1]], 1/1658880], [[[1, 1], [2, 4], [3, 1], [6, 1], [8, 3], [10, 1]], 1/1105920], [[[1, 1], [2, 4], [3, 1], [6, 1], [8, 3], [12, 1]], 1/2654208], [[[1, 1], [2, 4], [3, 1], [6, 1], [9, 2], [10, 1]], 1/233280], [[[1, 1], [2, 4], [3, 1], [6, 1], [9, 2], [12, 1]], 1/559872], [[[1, 1], [2, 4], [3, 1], [6, 1], [10, 1], [12, 3]], 1/1658880], [[[1, 1], [2, 4], [3, 1], [6, 1], [10, 2], [12, 2]], 7/49766400], [[[1, 1], [2, 4], [3, 1], [6, 1], [10, 2], [15, 1]], 1/5184000], [[[1, 1], [2, 4], [3, 1], [6, 1], [10, 2], [20, 1]], 1/3456000], [[[1, 1], [2, 4], [3, 1], [6, 1], [10, 2], [24, 1]], 1/4147200], [[[1, 1], [2, 4], [3, 1], [6, 1], [10, 2], [30, 1]], 1/5184000], [[[1, 1], [2, 4], [3, 1], [6, 1], [10, 3], [12, 1]], 1/3456000], [[[1, 1], [2, 4], [3, 1], [6, 1], [12, 1], [18, 2]], 1/559872], [[[1, 1], [2, 4], [3, 1], [6, 1], [12, 1], [36, 1]], 1/31104], [[[1, 1], [2, 4], [3, 1], [6, 1], [12, 2], [15, 1]], 7/2488320], [[[1, 1], [2, 4], [3, 1], [6, 1], [12, 2], [20, 1]], 7/1658880], [[[1, 1], [2, 4], [3, 1], [6, 1], [12, 2], [24, 1]], 19/1990656], [[[1, 1], [2, 4], [3, 1], [6, 1], [12, 2], [30, 1]], 7/2488320], [[[1, 1], [2, 4], [3, 1], [6, 1], [15, 1], [20, 1]], 1/172800], [[[1, 1], [2, 4], [3, 1], [6, 1], [15, 1], [24, 1]], 1/207360], [[[1, 1], [2, 4], [3, 1], [6, 1], [15, 1], [30, 1]], 1/16200], [[[1, 1], [2, 4], [3, 1], [6, 1], [20, 1], [24, 1]], 1/138240], [[[1, 1], [2, 4], [3, 1], [6, 1], [20, 1], [30, 1]], 1/172800], [[[1, 1], [2, 4], [3, 1], [6, 1], [24, 1], [30, 1]], 1/207360], [[[1, 1], [2, 4], [3, 1], [6, 2], [8, 2], [9, 1]], 7/53747712], [[[1, 1], [2, 4], [3, 1], [6, 2], [8, 2], [14, 1]], 1/3096576], [[[1, 1], [2, 4], [3, 1], [6, 2], [8, 2], [18, 1]], 5/11943936], [[[1, 1], [2, 4], [3, 1], [6, 2], [9, 1], [10, 2]], 131/33592320], [[[1, 1], [2, 4], [3, 1], [6, 2], [9, 1], [12, 2]], 133/80621568], [[[1, 1], [2, 4], [3, 1], [6, 2], [9, 1], [15, 1]], 7/8398080], [[[1, 1], [2, 4], [3, 1], [6, 2], [9, 1], [20, 1]], 7/5598720], [[[1, 1], [2, 4], [3, 1], [6, 2], [9, 1], [24, 1]], 7/6718464], [[[1, 1], [2, 4], [3, 1], [6, 2], [9, 1], [30, 1]], 7/8398080], [[[1, 1], [2, 4], [3, 1], [6, 2], [10, 2], [14, 1]], 1/9676800], [[[1, 1], [2, 4], [3, 1], [6, 2], [10, 2], [18, 1]], 1/7464960], [[[1, 1], [2, 4], [3, 1], [6, 2], [12, 2], [14, 1]], 1/663552], [[[1, 1], [2, 4], [3, 1], [6, 2], [12, 2], [18, 1]], 35/17915904], [[[1, 1], [2, 4], [3, 1], [6, 2], [14, 1], [15, 1]], 1/483840], [[[1, 1], [2, 4], [3, 1], [6, 2], [14, 1], [20, 1]], 1/322560], [[[1, 1], [2, 4], [3, 1], [6, 2], [14, 1], [24, 1]], 1/387072], [[[1, 1], [2, 4], [3, 1], [6, 2], [14, 1], [30, 1]], 1/483840], [[[1, 1], [2, 4], [3, 1], [6, 2], [15, 1], [18, 1]], 1/373248], [[[1, 1], [2, 4], [3, 1], [6, 2], [18, 1], [20, 1]], 1/248832], [[[1, 1], [2, 4], [3, 1], [6, 2], [18, 1], [24, 1]], 5/1492992], [[[1, 1], [2, 4], [3, 1], [6, 2], [18, 1], [30, 1]], 1/373248], [[[1, 1], [2, 4], [3, 1], [6, 3], [7, 1], [9, 1]], 1/23514624], [[[1, 1], [2, 4], [3, 1], [6, 3], [8, 1], [10, 2]], 1/447897600], [[[1, 1], [2, 4], [3, 1], [6, 3], [8, 1], [12, 2]], 55/214990848], [[[1, 1], [2, 4], [3, 1], [6, 3], [8, 1], [15, 1]], 1/22394880], [[[1, 1], [2, 4], [3, 1], [6, 3], [8, 1], [20, 1]], 1/14929920], [[[1, 1], [2, 4], [3, 1], [6, 3], [8, 1], [24, 1]], 7777/17915904], [[[1, 1], [2, 4], [3, 1], [6, 3], [8, 1], [30, 1]], 1/22394880], [[[1, 1], [2, 4], [3, 1], [6, 3], [8, 2], [10, 1]], 1/6635520], [[[1, 1], [2, 4], [3, 1], [6, 3], [8, 2], [12, 1]], 19/143327232], [[[1, 1], [2, 4], [3, 1], [6, 3], [9, 1], [14, 1]], 5/23514624], [[[1, 1], [2, 4], [3, 1], [6, 3], [9, 1], [18, 1]], 106159/90699264], [[[1, 1], [2, 4], [3, 1], [6, 3], [10, 1], [12, 2]], 7/9953280], [[[1, 1], [2, 4], [3, 1], [6, 3], [10, 1], [15, 1]], 1/1036800], [[[1, 1], [2, 4], [3, 1], [6, 3], [10, 1], [20, 1]], 1/691200], [[[1, 1], [2, 4], [3, 1], [6, 3], [10, 1], [24, 1]], 1/829440], [[[1, 1], [2, 4], [3, 1], [6, 3], [10, 1], [30, 1]], 1441/1036800], [[[1, 1], [2, 4], [3, 1], [6, 3], [10, 2], [12, 1]], 19/447897600], [[[1, 1], [2, 4], [3, 1], [6, 3], [12, 1], [15, 1]], 19/22394880], [[[1, 1], [2, 4], [3, 1], [6, 3], [12, 1], [20, 1]], 19/14929920], [[[1, 1], [2, 4], [3, 1], [6, 3], [12, 1], [24, 1]], 19/17915904], [[[1, 1], [2, 4], [3, 1], [6, 3], [12, 1], [30, 1]], 19/22394880], [[[1, 1], [2, 4], [3, 1], [6, 3], [14, 1], [18, 1]], 1/870912], [[[1, 1], [2, 4], [3, 1], [6, 4], [8, 1], [9, 1]], 161/6449725440], [[[1, 1], [2, 4], [3, 1], [6, 4], [8, 1], [14, 1]], 1/418037760], [[[1, 1], [2, 4], [3, 1], [6, 4], [8, 1], [18, 1]], 41/1612431360], [[[1, 1], [2, 4], [3, 1], [6, 4], [9, 1], [10, 1]], 2011/20155392000], [[[1, 1], [2, 4], [3, 1], [6, 4], [9, 1], [12, 1]], 35/241864704], [[[1, 1], [2, 4], [3, 1], [6, 4], [10, 1], [18, 1]], 1/1866240], [[[1, 1], [2, 4], [3, 1], [6, 4], [12, 1], [14, 1]], 13/59719680], [[[1, 1], [2, 4], [3, 1], [6, 4], [12, 1], [18, 1]], 851/1612431360], [[[1, 1], [2, 4], [3, 1], [6, 5], [8, 1], [10, 1]], 1/895795200], [[[1, 1], [2, 4], [3, 1], [6, 5], [8, 1], [12, 1]], 11/2149908480], [[[1, 1], [2, 4], [3, 1], [6, 5], [10, 1], [12, 1]], 91/895795200], [[[1, 1], [2, 4], [3, 1], [7, 1], [9, 1], [14, 1]], 1/84672], [[[1, 1], [2, 4], [3, 1], [7, 1], [9, 1], [18, 1]], 1/326592], [[[1, 1], [2, 4], [3, 1], [8, 1], [9, 1], [10, 2]], 1/24883200], [[[1, 1], [2, 4], [3, 1], [8, 1], [9, 1], [12, 2]], 1/11943936], [[[1, 1], [2, 4], [3, 1], [8, 1], [9, 1], [15, 1]], 1/1244160], [[[1, 1], [2, 4], [3, 1], [8, 1], [9, 1], [20, 1]], 1/829440], [[[1, 1], [2, 4], [3, 1], [8, 1], [9, 1], [24, 1]], 1/995328], [[[1, 1], [2, 4], [3, 1], [8, 1], [9, 1], [30, 1]], 1/1244160], [[[1, 1], [2, 4], [3, 1], [8, 1], [10, 2], [14, 1]], 1/1612800], [[[1, 1], [2, 4], [3, 1], [8, 1], [10, 2], [18, 1]], 1/6220800], [[[1, 1], [2, 4], [3, 1], [8, 1], [12, 2], [14, 1]], 1/774144], [[[1, 1], [2, 4], [3, 1], [8, 1], [12, 2], [18, 1]], 1/2985984], [[[1, 1], [2, 4], [3, 1], [8, 1], [14, 1], [15, 1]], 1/80640], [[[1, 1], [2, 4], [3, 1], [8, 1], [14, 1], [20, 1]], 1/53760], [[[1, 1], [2, 4], [3, 1], [8, 1], [14, 1], [24, 1]], 1/64512], [[[1, 1], [2, 4], [3, 1], [8, 1], [14, 1], [30, 1]], 1/80640], [[[1, 1], [2, 4], [3, 1], [8, 1], [15, 1], [18, 1]], 1/311040], [[[1, 1], [2, 4], [3, 1], [8, 1], [18, 1], [20, 1]], 1/207360], [[[1, 1], [2, 4], [3, 1], [8, 1], [18, 1], [24, 1]], 1/248832], [[[1, 1], [2, 4], [3, 1], [8, 1], [18, 1], [30, 1]], 1/311040], [[[1, 1], [2, 4], [3, 1], [8, 2], [9, 1], [10, 1]], 11/24883200], [[[1, 1], [2, 4], [3, 1], [8, 2], [12, 1], [14, 1]], 1/516096], [[[1, 1], [2, 4], [3, 1], [8, 2], [12, 1], [18, 1]], 1/1990656], [[[1, 1], [2, 4], [3, 1], [9, 1], [10, 1], [12, 2]], 11/37324800], [[[1, 1], [2, 4], [3, 1], [9, 1], [10, 1], [15, 1]], 11/3888000], [[[1, 1], [2, 4], [3, 1], [9, 1], [10, 1], [20, 1]], 11/2592000], [[[1, 1], [2, 4], [3, 1], [9, 1], [10, 1], [24, 1]], 11/3110400], [[[1, 1], [2, 4], [3, 1], [9, 1], [10, 1], [30, 1]], 11/3888000], [[[1, 1], [2, 4], [3, 1], [9, 1], [14, 1], [18, 1]], 5/326592], [[[1, 1], [2, 4], [3, 1], [10, 2], [12, 1], [14, 1]], 1/1612800], [[[1, 1], [2, 4], [3, 1], [10, 2], [12, 1], [18, 1]], 1/6220800], [[[1, 1], [2, 4], [3, 1], [12, 1], [14, 1], [15, 1]], 1/80640], [[[1, 1], [2, 4], [3, 1], [12, 1], [14, 1], [20, 1]], 1/53760], [[[1, 1], [2, 4], [3, 1], [12, 1], [14, 1], [24, 1]], 1/64512], [[[1, 1], [2, 4], [3, 1], [12, 1], [14, 1], [30, 1]], 1/80640], [[[1, 1], [2, 4], [3, 1], [12, 1], [15, 1], [18, 1]], 1/311040], [[[1, 1], [2, 4], [3, 1], [12, 1], [18, 1], [20, 1]], 1/207360], [[[1, 1], [2, 4], [3, 1], [12, 1], [18, 1], [24, 1]], 1/248832], [[[1, 1], [2, 4], [3, 1], [12, 1], [18, 1], [30, 1]], 1/311040], [[[1, 1], [2, 4], [3, 2], [4, 1], [5, 1], [6, 5]], 11/10749542400], [[[1, 1], [2, 4], [3, 2], [4, 1], [5, 2], [6, 3]], 1/398131200], [[[1, 1], [2, 4], [3, 2], [4, 1], [5, 2], [9, 1]], 1/37324800], [[[1, 1], [2, 4], [3, 2], [4, 1], [5, 3], [6, 1]], 1/41472000], [[[1, 1], [2, 4], [3, 2], [4, 1], [6, 1], [8, 3]], 5/7077888], [[[1, 1], [2, 4], [3, 2], [4, 1], [6, 1], [9, 2]], 1/2239488], [[[1, 1], [2, 4], [3, 2], [4, 1], [6, 1], [10, 3]], 1/41472000], [[[1, 1], [2, 4], [3, 2], [4, 1], [6, 1], [12, 3]], 209/286654464], [[[1, 1], [2, 4], [3, 2], [4, 1], [6, 1], [28, 1]], 1/96768], [[[1, 1], [2, 4], [3, 2], [4, 1], [6, 1], [36, 1]], 1/124416], [[[1, 1], [2, 4], [3, 2], [4, 1], [6, 3], [8, 2]], 7/127401984], [[[1, 1], [2, 4], [3, 2], [4, 1], [6, 3], [10, 2]], 49/398131200], [[[1, 1], [2, 4], [3, 2], [4, 1], [6, 3], [12, 2]], 12031/1719926784], [[[1, 1], [2, 4], [3, 2], [4, 1], [6, 3], [15, 1]], 1/19906560], [[[1, 1], [2, 4], [3, 2], [4, 1], [6, 3], [20, 1]], 1/13271040], [[[1, 1], [2, 4], [3, 2], [4, 1], [6, 3], [24, 1]], 73/15925248], [[[1, 1], [2, 4], [3, 2], [4, 1], [6, 3], [30, 1]], 1/19906560], [[[1, 1], [2, 4], [3, 2], [4, 1], [6, 4], [9, 1]], 161/9674588160], [[[1, 1], [2, 4], [3, 2], [4, 1], [6, 4], [18, 1]], 1/35831808], [[[1, 1], [2, 4], [3, 2], [4, 1], [6, 5], [8, 1]], 77/17199267840], [[[1, 1], [2, 4], [3, 2], [4, 1], [6, 5], [10, 1]], 11/10749542400], [[[1, 1], [2, 4], [3, 2], [4, 1], [6, 5], [12, 1]], 6121/51597803520], [[[1, 1], [2, 4], [3, 2], [4, 1], [8, 2], [9, 1]], 19/11943936], [[[1, 1], [2, 4], [3, 2], [4, 1], [9, 1], [10, 2]], 1/37324800], [[[1, 1], [2, 4], [3, 2], [4, 1], [9, 1], [12, 2]], 1/17915904], [[[1, 1], [2, 4], [3, 2], [4, 1], [9, 1], [15, 1]], 1/1866240], [[[1, 1], [2, 4], [3, 2], [4, 1], [9, 1], [20, 1]], 1/1244160], [[[1, 1], [2, 4], [3, 2], [4, 1], [9, 1], [24, 1]], 1/1492992], [[[1, 1], [2, 4], [3, 2], [4, 1], [9, 1], [30, 1]], 1/1866240], [[[1, 1], [2, 4], [3, 2], [4, 1], [12, 2], [14, 1]], 1/387072], [[[1, 1], [2, 4], [3, 2], [4, 1], [12, 2], [18, 1]], 1/1492992], [[[1, 1], [2, 4], [3, 2], [4, 2], [5, 2], [6, 2]], 269/38220595200], [[[1, 1], [2, 4], [3, 2], [4, 2], [5, 2], [12, 1]], 13/6370099200], [[[1, 1], [2, 4], [3, 2], [4, 2], [6, 2], [8, 2]], 2537/12230590464], [[[1, 1], [2, 4], [3, 2], [4, 2], [6, 2], [10, 2]], 269/38220595200], [[[1, 1], [2, 4], [3, 2], [4, 2], [6, 2], [12, 2]], 36353/55037657088], [[[1, 1], [2, 4], [3, 2], [4, 2], [6, 2], [15, 1]], 269/1911029760], [[[1, 1], [2, 4], [3, 2], [4, 2], [6, 2], [20, 1]], 269/1274019840], [[[1, 1], [2, 4], [3, 2], [4, 2], [6, 2], [24, 1]], 1205/1528823808], [[[1, 1], [2, 4], [3, 2], [4, 2], [6, 2], [30, 1]], 269/1911029760], [[[1, 1], [2, 4], [3, 2], [4, 2], [6, 3], [7, 1]], 1/55738368], [[[1, 1], [2, 4], [3, 2], [4, 2], [6, 3], [9, 1]], 5/71663616], [[[1, 1], [2, 4], [3, 2], [4, 2], [6, 3], [14, 1]], 1/27869184], [[[1, 1], [2, 4], [3, 2], [4, 2], [6, 3], [18, 1]], 37/382205952], [[[1, 1], [2, 4], [3, 2], [4, 2], [6, 4], [8, 1]], 1/95551488], [[[1, 1], [2, 4], [3, 2], [4, 2], [6, 4], [10, 1]], 1/59719680], [[[1, 1], [2, 4], [3, 2], [4, 2], [6, 4], [12, 1]], 4109789/4953389137920], [[[1, 1], [2, 4], [3, 2], [4, 2], [8, 1], [12, 2]], 5/7962624], [[[1, 1], [2, 4], [3, 2], [4, 2], [8, 2], [12, 1]], 2281/2038431744], [[[1, 1], [2, 4], [3, 2], [4, 2], [10, 1], [12, 2]], 11/49766400], [[[1, 1], [2, 4], [3, 2], [4, 2], [10, 2], [12, 1]], 13/6370099200], [[[1, 1], [2, 4], [3, 2], [4, 2], [12, 1], [15, 1]], 13/318504960], [[[1, 1], [2, 4], [3, 2], [4, 2], [12, 1], [20, 1]], 13/212336640], [[[1, 1], [2, 4], [3, 2], [4, 2], [12, 1], [24, 1]], 13/254803968], [[[1, 1], [2, 4], [3, 2], [4, 2], [12, 1], [30, 1]], 13/318504960], [[[1, 1], [2, 4], [3, 2], [4, 3], [5, 1], [6, 3]], 1/79626240], [[[1, 1], [2, 4], [3, 2], [4, 3], [5, 2], [6, 1]], 1/796262400], [[[1, 1], [2, 4], [3, 2], [4, 3], [6, 1], [8, 2]], 49/254803968], [[[1, 1], [2, 4], [3, 2], [4, 3], [6, 1], [10, 2]], 1/796262400], [[[1, 1], [2, 4], [3, 2], [4, 3], [6, 1], [12, 2]], 487/382205952], [[[1, 1], [2, 4], [3, 2], [4, 3], [6, 1], [15, 1]], 1/39813120], [[[1, 1], [2, 4], [3, 2], [4, 3], [6, 1], [16, 1]], 1/1327104], [[[1, 1], [2, 4], [3, 2], [4, 3], [6, 1], [20, 1]], 13/5308416], [[[1, 1], [2, 4], [3, 2], [4, 3], [6, 1], [24, 1]], 1/31850496], [[[1, 1], [2, 4], [3, 2], [4, 3], [6, 1], [30, 1]], 1/39813120], [[[1, 1], [2, 4], [3, 2], [4, 3], [6, 2], [9, 1]], 1/4478976], [[[1, 1], [2, 4], [3, 2], [4, 3], [6, 2], [14, 1]], 1/74317824], [[[1, 1], [2, 4], [3, 2], [4, 3], [6, 2], [18, 1]], 5/286654464], [[[1, 1], [2, 4], [3, 2], [4, 3], [6, 3], [8, 1]], 11/254803968], [[[1, 1], [2, 4], [3, 2], [4, 3], [6, 3], [10, 1]], 1/53084160], [[[1, 1], [2, 4], [3, 2], [4, 3], [6, 3], [12, 1]], 10531/3439853568], [[[1, 1], [2, 4], [3, 2], [4, 3], [9, 1], [12, 1]], 1/4478976], [[[1, 1], [2, 4], [3, 2], [4, 3], [12, 1], [14, 1]], 1/12386304], [[[1, 1], [2, 4], [3, 2], [4, 3], [12, 1], [18, 1]], 1/47775744], [[[1, 1], [2, 4], [3, 2], [4, 4], [6, 1], [7, 1]], 1/2229534720], [[[1, 1], [2, 4], [3, 2], [4, 4], [6, 1], [9, 1]], 1/573308928], [[[1, 1], [2, 4], [3, 2], [4, 4], [6, 1], [14, 1]], 1/445906944], [[[1, 1], [2, 4], [3, 2], [4, 4], [6, 1], [18, 1]], 7/8599633920], [[[1, 1], [2, 4], [3, 2], [4, 4], [6, 2], [8, 1]], 197/61152952320], [[[1, 1], [2, 4], [3, 2], [4, 4], [6, 2], [10, 1]], 211/191102976000], [[[1, 1], [2, 4], [3, 2], [4, 4], [6, 2], [12, 1]], 143/537477120], [[[1, 1], [2, 4], [3, 2], [4, 4], [8, 1], [12, 1]], 181/10192158720], [[[1, 1], [2, 4], [3, 2], [4, 4], [10, 1], [12, 1]], 11/31850496000], [[[1, 1], [2, 4], [3, 2], [4, 5], [5, 1], [6, 1]], 1/3185049600], [[[1, 1], [2, 4], [3, 2], [4, 5], [6, 1], [8, 1]], 103/5096079360], [[[1, 1], [2, 4], [3, 2], [4, 5], [6, 1], [10, 1]], 1/3185049600], [[[1, 1], [2, 4], [3, 2], [4, 5], [6, 1], [12, 1]], 743/15288238080], [[[1, 1], [2, 4], [3, 2], [5, 1], [6, 3], [9, 1]], 1/50388480], [[[1, 1], [2, 4], [3, 2], [5, 1], [9, 1], [14, 1]], 1/181440], [[[1, 1], [2, 4], [3, 2], [5, 1], [9, 1], [18, 1]], 1/699840], [[[1, 1], [2, 4], [3, 2], [5, 2], [6, 1], [7, 1]], 1/29030400], [[[1, 1], [2, 4], [3, 2], [5, 2], [6, 1], [9, 1]], 1/7464960], [[[1, 1], [2, 4], [3, 2], [5, 2], [6, 1], [14, 1]], 1/5806080], [[[1, 1], [2, 4], [3, 2], [5, 2], [6, 1], [18, 1]], 7/111974400], [[[1, 1], [2, 4], [3, 2], [5, 2], [6, 2], [8, 1]], 17/796262400], [[[1, 1], [2, 4], [3, 2], [5, 2], [6, 2], [10, 1]], 211/2488320000], [[[1, 1], [2, 4], [3, 2], [5, 2], [6, 2], [12, 1]], 49/895795200], [[[1, 1], [2, 4], [3, 2], [5, 2], [8, 1], [12, 1]], 1/132710400], [[[1, 1], [2, 4], [3, 2], [5, 2], [10, 1], [12, 1]], 11/414720000], [[[1, 1], [2, 4], [3, 2], [6, 1], [7, 1], [8, 2]], 1/9289728], [[[1, 1], [2, 4], [3, 2], [6, 1], [7, 1], [10, 2]], 1/29030400], [[[1, 1], [2, 4], [3, 2], [6, 1], [7, 1], [12, 2]], 1/1990656], [[[1, 1], [2, 4], [3, 2], [6, 1], [7, 1], [15, 1]], 1/1451520], [[[1, 1], [2, 4], [3, 2], [6, 1], [7, 1], [20, 1]], 1/967680], [[[1, 1], [2, 4], [3, 2], [6, 1], [7, 1], [24, 1]], 1/1161216], [[[1, 1], [2, 4], [3, 2], [6, 1], [7, 1], [30, 1]], 1/1451520], [[[1, 1], [2, 4], [3, 2], [6, 1], [8, 2], [9, 1]], 5/11943936], [[[1, 1], [2, 4], [3, 2], [6, 1], [8, 2], [14, 1]], 5/9289728], [[[1, 1], [2, 4], [3, 2], [6, 1], [8, 2], [18, 1]], 7/35831808], [[[1, 1], [2, 4], [3, 2], [6, 1], [9, 1], [10, 2]], 1/7464960], [[[1, 1], [2, 4], [3, 2], [6, 1], [9, 1], [12, 2]], 35/17915904], [[[1, 1], [2, 4], [3, 2], [6, 1], [9, 1], [15, 1]], 1/373248], [[[1, 1], [2, 4], [3, 2], [6, 1], [9, 1], [20, 1]], 1/248832], [[[1, 1], [2, 4], [3, 2], [6, 1], [9, 1], [24, 1]], 5/1492992], [[[1, 1], [2, 4], [3, 2], [6, 1], [9, 1], [30, 1]], 1/373248], [[[1, 1], [2, 4], [3, 2], [6, 1], [10, 2], [14, 1]], 1/5806080], [[[1, 1], [2, 4], [3, 2], [6, 1], [10, 2], [18, 1]], 7/111974400], [[[1, 1], [2, 4], [3, 2], [6, 1], [12, 2], [14, 1]], 5/1990656], [[[1, 1], [2, 4], [3, 2], [6, 1], [12, 2], [18, 1]], 49/53747712], [[[1, 1], [2, 4], [3, 2], [6, 1], [14, 1], [15, 1]], 1/290304], [[[1, 1], [2, 4], [3, 2], [6, 1], [14, 1], [20, 1]], 1/193536], [[[1, 1], [2, 4], [3, 2], [6, 1], [14, 1], [24, 1]], 5/1161216], [[[1, 1], [2, 4], [3, 2], [6, 1], [14, 1], [30, 1]], 1/290304], [[[1, 1], [2, 4], [3, 2], [6, 1], [15, 1], [18, 1]], 7/5598720], [[[1, 1], [2, 4], [3, 2], [6, 1], [18, 1], [20, 1]], 7/3732480], [[[1, 1], [2, 4], [3, 2], [6, 1], [18, 1], [24, 1]], 7/4478976], [[[1, 1], [2, 4], [3, 2], [6, 1], [18, 1], [30, 1]], 7/5598720], [[[1, 1], [2, 4], [3, 2], [6, 2], [7, 1], [14, 1]], 1/2709504], [[[1, 1], [2, 4], [3, 2], [6, 2], [7, 1], [18, 1]], 5/10450944], [[[1, 1], [2, 4], [3, 2], [6, 2], [8, 1], [10, 2]], 17/796262400], [[[1, 1], [2, 4], [3, 2], [6, 2], [8, 1], [12, 2]], 263/382205952], [[[1, 1], [2, 4], [3, 2], [6, 2], [8, 1], [15, 1]], 17/39813120], [[[1, 1], [2, 4], [3, 2], [6, 2], [8, 1], [20, 1]], 17/26542080], [[[1, 1], [2, 4], [3, 2], [6, 2], [8, 1], [24, 1]], 89/31850496], [[[1, 1], [2, 4], [3, 2], [6, 2], [8, 1], [30, 1]], 17/39813120], [[[1, 1], [2, 4], [3, 2], [6, 2], [8, 2], [10, 1]], 211/796262400], [[[1, 1], [2, 4], [3, 2], [6, 2], [8, 2], [12, 1]], 49/286654464], [[[1, 1], [2, 4], [3, 2], [6, 2], [9, 1], [14, 1]], 5/3483648], [[[1, 1], [2, 4], [3, 2], [6, 2], [9, 1], [18, 1]], 457/13436928], [[[1, 1], [2, 4], [3, 2], [6, 2], [10, 1], [12, 2]], 3061/1194393600], [[[1, 1], [2, 4], [3, 2], [6, 2], [10, 1], [15, 1]], 211/124416000], [[[1, 1], [2, 4], [3, 2], [6, 2], [10, 1], [20, 1]], 211/82944000], [[[1, 1], [2, 4], [3, 2], [6, 2], [10, 1], [24, 1]], 1003/99532800], [[[1, 1], [2, 4], [3, 2], [6, 2], [10, 1], [30, 1]], 211/124416000], [[[1, 1], [2, 4], [3, 2], [6, 2], [10, 2], [12, 1]], 697/895795200], [[[1, 1], [2, 4], [3, 2], [6, 2], [12, 1], [15, 1]], 49/44789760], [[[1, 1], [2, 4], [3, 2], [6, 2], [12, 1], [20, 1]], 49/29859840], [[[1, 1], [2, 4], [3, 2], [6, 2], [12, 1], [24, 1]], 49/35831808], [[[1, 1], [2, 4], [3, 2], [6, 2], [12, 1], [30, 1]], 49/44789760], [[[1, 1], [2, 4], [3, 2], [6, 2], [14, 1], [18, 1]], 25/10450944], [[[1, 1], [2, 4], [3, 2], [6, 3], [7, 1], [10, 1]], 1/5806080], [[[1, 1], [2, 4], [3, 2], [6, 3], [7, 1], [12, 1]], 19/125411328], [[[1, 1], [2, 4], [3, 2], [6, 3], [8, 1], [9, 1]], 1/40310784], [[[1, 1], [2, 4], [3, 2], [6, 3], [8, 1], [14, 1]], 1/4644864], [[[1, 1], [2, 4], [3, 2], [6, 3], [8, 1], [18, 1]], 7/23887872], [[[1, 1], [2, 4], [3, 2], [6, 3], [9, 1], [10, 1]], 1/1492992], [[[1, 1], [2, 4], [3, 2], [6, 3], [9, 1], [12, 1]], 95/161243136], [[[1, 1], [2, 4], [3, 2], [6, 3], [10, 1], [14, 1]], 1/1935360], [[[1, 1], [2, 4], [3, 2], [6, 3], [10, 1], [18, 1]], 29/24883200], [[[1, 1], [2, 4], [3, 2], [6, 3], [12, 1], [14, 1]], 95/125411328], [[[1, 1], [2, 4], [3, 2], [6, 3], [12, 1], [18, 1]], 427/483729408], [[[1, 1], [2, 4], [3, 2], [6, 4], [8, 1], [10, 1]], 1/9953280], [[[1, 1], [2, 4], [3, 2], [6, 4], [8, 1], [12, 1]], 3131/34398535680], [[[1, 1], [2, 4], [3, 2], [6, 4], [10, 1], [12, 1]], 39001/107495424000], [[[1, 1], [2, 4], [3, 2], [7, 1], [12, 1], [14, 1]], 1/451584], [[[1, 1], [2, 4], [3, 2], [7, 1], [12, 1], [18, 1]], 1/1741824], [[[1, 1], [2, 4], [3, 2], [8, 1], [9, 1], [14, 1]], 1/145152], [[[1, 1], [2, 4], [3, 2], [8, 1], [9, 1], [18, 1]], 1/559872], [[[1, 1], [2, 4], [3, 2], [8, 1], [10, 2], [12, 1]], 1/132710400], [[[1, 1], [2, 4], [3, 2], [8, 1], [12, 1], [15, 1]], 1/6635520], [[[1, 1], [2, 4], [3, 2], [8, 1], [12, 1], [20, 1]], 1/4423680], [[[1, 1], [2, 4], [3, 2], [8, 1], [12, 1], [24, 1]], 1/5308416], [[[1, 1], [2, 4], [3, 2], [8, 1], [12, 1], [30, 1]], 1/6635520], [[[1, 1], [2, 4], [3, 2], [8, 2], [10, 1], [12, 1]], 11/132710400], [[[1, 1], [2, 4], [3, 2], [9, 1], [12, 1], [14, 1]], 5/580608], [[[1, 1], [2, 4], [3, 2], [9, 1], [12, 1], [18, 1]], 5/2239488], [[[1, 1], [2, 4], [3, 2], [10, 1], [12, 1], [15, 1]], 11/20736000], [[[1, 1], [2, 4], [3, 2], [10, 1], [12, 1], [20, 1]], 11/13824000], [[[1, 1], [2, 4], [3, 2], [10, 1], [12, 1], [24, 1]], 11/16588800], [[[1, 1], [2, 4], [3, 2], [10, 1], [12, 1], [30, 1]], 11/20736000], [[[1, 1], [2, 4], [3, 2], [12, 1], [14, 1], [18, 1]], 5/1741824], [[[1, 1], [2, 4], [3, 3], [4, 1], [5, 2], [6, 2]], 17/1194393600], [[[1, 1], [2, 4], [3, 3], [4, 1], [5, 2], [8, 1]], 1/398131200], [[[1, 1], [2, 4], [3, 3], [4, 1], [5, 2], [12, 1]], 1/199065600], [[[1, 1], [2, 4], [3, 3], [4, 1], [6, 2], [8, 2]], 35/382205952], [[[1, 1], [2, 4], [3, 3], [4, 1], [6, 2], [10, 2]], 17/1194393600], [[[1, 1], [2, 4], [3, 3], [4, 1], [6, 2], [12, 2]], 839/573308928], [[[1, 1], [2, 4], [3, 3], [4, 1], [6, 2], [15, 1]], 17/59719680], [[[1, 1], [2, 4], [3, 3], [4, 1], [6, 2], [16, 1]], 1/165888], [[[1, 1], [2, 4], [3, 3], [4, 1], [6, 2], [20, 1]], 17/39813120], [[[1, 1], [2, 4], [3, 3], [4, 1], [6, 2], [24, 1]], 377/47775744], [[[1, 1], [2, 4], [3, 3], [4, 1], [6, 2], [30, 1]], 17/59719680], [[[1, 1], [2, 4], [3, 3], [4, 1], [6, 3], [9, 1]], 1/35831808], [[[1, 1], [2, 4], [3, 3], [4, 1], [6, 3], [14, 1]], 25/6967296], [[[1, 1], [2, 4], [3, 3], [4, 1], [6, 3], [18, 1]], 13/11943936], [[[1, 1], [2, 4], [3, 3], [4, 1], [6, 4], [8, 1]], 811/103195607040], [[[1, 1], [2, 4], [3, 3], [4, 1], [6, 4], [10, 1]], 5/2985984], [[[1, 1], [2, 4], [3, 3], [4, 1], [6, 4], [12, 1]], 37691/51597803520], [[[1, 1], [2, 4], [3, 3], [4, 1], [8, 1], [10, 2]], 1/398131200], [[[1, 1], [2, 4], [3, 3], [4, 1], [8, 1], [12, 2]], 55/191102976], [[[1, 1], [2, 4], [3, 3], [4, 1], [8, 1], [15, 1]], 1/19906560], [[[1, 1], [2, 4], [3, 3], [4, 1], [8, 1], [20, 1]], 1/13271040], [[[1, 1], [2, 4], [3, 3], [4, 1], [8, 1], [24, 1]], 1/15925248], [[[1, 1], [2, 4], [3, 3], [4, 1], [8, 1], [30, 1]], 1/19906560], [[[1, 1], [2, 4], [3, 3], [4, 1], [8, 2], [12, 1]], 19/63700992], [[[1, 1], [2, 4], [3, 3], [4, 1], [10, 2], [12, 1]], 1/199065600], [[[1, 1], [2, 4], [3, 3], [4, 1], [12, 1], [15, 1]], 1/9953280], [[[1, 1], [2, 4], [3, 3], [4, 1], [12, 1], [20, 1]], 1/6635520], [[[1, 1], [2, 4], [3, 3], [4, 1], [12, 1], [24, 1]], 1/7962624], [[[1, 1], [2, 4], [3, 3], [4, 1], [12, 1], [30, 1]], 1/9953280], [[[1, 1], [2, 4], [3, 3], [4, 2], [5, 1], [6, 3]], 1/119439360], [[[1, 1], [2, 4], [3, 3], [4, 2], [5, 2], [6, 1]], 1/1791590400], [[[1, 1], [2, 4], [3, 3], [4, 2], [6, 1], [8, 2]], 1/573308928], [[[1, 1], [2, 4], [3, 3], [4, 2], [6, 1], [10, 2]], 1/1791590400], [[[1, 1], [2, 4], [3, 3], [4, 2], [6, 1], [12, 2]], 359/859963392], [[[1, 1], [2, 4], [3, 3], [4, 2], [6, 1], [15, 1]], 1/89579520], [[[1, 1], [2, 4], [3, 3], [4, 2], [6, 1], [20, 1]], 1/59719680], [[[1, 1], [2, 4], [3, 3], [4, 2], [6, 1], [24, 1]], 1/71663616], [[[1, 1], [2, 4], [3, 3], [4, 2], [6, 1], [30, 1]], 1/89579520], [[[1, 1], [2, 4], [3, 3], [4, 2], [6, 2], [9, 1]], 269/3439853568], [[[1, 1], [2, 4], [3, 3], [4, 2], [6, 2], [18, 1]], 1/161243136], [[[1, 1], [2, 4], [3, 3], [4, 2], [6, 3], [8, 1]], 19/23887872], [[[1, 1], [2, 4], [3, 3], [4, 2], [6, 3], [12, 1]], 48473/23219011584], [[[1, 1], [2, 4], [3, 3], [4, 2], [9, 1], [12, 1]], 13/573308928], [[[1, 1], [2, 4], [3, 3], [4, 2], [12, 1], [14, 1]], 1/10450944], [[[1, 1], [2, 4], [3, 3], [4, 2], [12, 1], [18, 1]], 1/40310784], [[[1, 1], [2, 4], [3, 3], [4, 3], [6, 1], [9, 1]], 1/71663616], [[[1, 1], [2, 4], [3, 3], [4, 3], [6, 2], [8, 1]], 1/1990656], [[[1, 1], [2, 4], [3, 3], [4, 3], [6, 2], [12, 1]], 383/143327232], [[[1, 1], [2, 4], [3, 3], [4, 3], [8, 1], [12, 1]], 1/47775744], [[[1, 1], [2, 4], [3, 3], [4, 4], [5, 1], [6, 1]], 1/4777574400], [[[1, 1], [2, 4], [3, 3], [4, 4], [6, 1], [8, 1]], 1/3822059520], [[[1, 1], [2, 4], [3, 3], [4, 4], [6, 1], [10, 1]], 1/14332723200], [[[1, 1], [2, 4], [3, 3], [4, 4], [6, 1], [12, 1]], 179/34398535680], [[[1, 1], [2, 4], [3, 3], [5, 1], [6, 1], [8, 2]], 1/19906560], [[[1, 1], [2, 4], [3, 3], [5, 1], [6, 1], [10, 2]], 1/62208000], [[[1, 1], [2, 4], [3, 3], [5, 1], [6, 1], [12, 2]], 7/29859840], [[[1, 1], [2, 4], [3, 3], [5, 1], [6, 1], [15, 1]], 1/3110400], [[[1, 1], [2, 4], [3, 3], [5, 1], [6, 1], [20, 1]], 1/2073600], [[[1, 1], [2, 4], [3, 3], [5, 1], [6, 1], [24, 1]], 1/2488320], [[[1, 1], [2, 4], [3, 3], [5, 1], [6, 1], [30, 1]], 1/3110400], [[[1, 1], [2, 4], [3, 3], [5, 1], [6, 2], [14, 1]], 1/5806080], [[[1, 1], [2, 4], [3, 3], [5, 1], [6, 2], [18, 1]], 1/4478976], [[[1, 1], [2, 4], [3, 3], [5, 1], [6, 3], [10, 1]], 1/12441600], [[[1, 1], [2, 4], [3, 3], [5, 1], [6, 3], [12, 1]], 19/268738560], [[[1, 1], [2, 4], [3, 3], [5, 1], [12, 1], [14, 1]], 1/967680], [[[1, 1], [2, 4], [3, 3], [5, 1], [12, 1], [18, 1]], 1/3732480], [[[1, 1], [2, 4], [3, 3], [5, 2], [6, 1], [8, 1]], 1/49766400], [[[1, 1], [2, 4], [3, 3], [5, 2], [6, 1], [10, 1]], 1/186624000], [[[1, 1], [2, 4], [3, 3], [5, 2], [6, 1], [12, 1]], 19/447897600], [[[1, 1], [2, 4], [3, 3], [6, 1], [7, 1], [9, 1]], 1/2612736], [[[1, 1], [2, 4], [3, 3], [6, 1], [8, 1], [10, 2]], 1/49766400], [[[1, 1], [2, 4], [3, 3], [6, 1], [8, 1], [12, 2]], 7/23887872], [[[1, 1], [2, 4], [3, 3], [6, 1], [8, 1], [15, 1]], 1/2488320], [[[1, 1], [2, 4], [3, 3], [6, 1], [8, 1], [20, 1]], 1/1658880], [[[1, 1], [2, 4], [3, 3], [6, 1], [8, 1], [24, 1]], 1/1990656], [[[1, 1], [2, 4], [3, 3], [6, 1], [8, 1], [30, 1]], 1/2488320], [[[1, 1], [2, 4], [3, 3], [6, 1], [8, 2], [10, 1]], 1/59719680], [[[1, 1], [2, 4], [3, 3], [6, 1], [8, 2], [12, 1]], 19/143327232], [[[1, 1], [2, 4], [3, 3], [6, 1], [9, 1], [14, 1]], 5/2612736], [[[1, 1], [2, 4], [3, 3], [6, 1], [9, 1], [18, 1]], 7/10077696], [[[1, 1], [2, 4], [3, 3], [6, 1], [10, 1], [12, 2]], 11/17915904], [[[1, 1], [2, 4], [3, 3], [6, 1], [10, 1], [15, 1]], 1/9331200], [[[1, 1], [2, 4], [3, 3], [6, 1], [10, 1], [20, 1]], 1/6220800], [[[1, 1], [2, 4], [3, 3], [6, 1], [10, 1], [24, 1]], 1/7464960], [[[1, 1], [2, 4], [3, 3], [6, 1], [10, 1], [30, 1]], 1/9331200], [[[1, 1], [2, 4], [3, 3], [6, 1], [10, 2], [12, 1]], 19/447897600], [[[1, 1], [2, 4], [3, 3], [6, 1], [12, 1], [15, 1]], 19/22394880], [[[1, 1], [2, 4], [3, 3], [6, 1], [12, 1], [20, 1]], 19/14929920], [[[1, 1], [2, 4], [3, 3], [6, 1], [12, 1], [24, 1]], 19/17915904], [[[1, 1], [2, 4], [3, 3], [6, 1], [12, 1], [30, 1]], 19/22394880], [[[1, 1], [2, 4], [3, 3], [6, 1], [14, 1], [18, 1]], 1/7838208], [[[1, 1], [2, 4], [3, 3], [6, 2], [8, 1], [9, 1]], 17/71663616], [[[1, 1], [2, 4], [3, 3], [6, 2], [8, 1], [14, 1]], 1/4644864], [[[1, 1], [2, 4], [3, 3], [6, 2], [8, 1], [18, 1]], 5/17915904], [[[1, 1], [2, 4], [3, 3], [6, 2], [9, 1], [10, 1]], 211/223948800], [[[1, 1], [2, 4], [3, 3], [6, 2], [9, 1], [12, 1]], 49/80621568], [[[1, 1], [2, 4], [3, 3], [6, 2], [10, 1], [18, 1]], 1/16796160], [[[1, 1], [2, 4], [3, 3], [6, 2], [12, 1], [14, 1]], 19/41803776], [[[1, 1], [2, 4], [3, 3], [6, 2], [12, 1], [18, 1]], 95/161243136], [[[1, 1], [2, 4], [3, 3], [6, 3], [8, 1], [10, 1]], 1/9953280], [[[1, 1], [2, 4], [3, 3], [6, 3], [8, 1], [12, 1]], 19/214990848], [[[1, 1], [2, 4], [3, 3], [6, 3], [10, 1], [12, 1]], 19/89579520], [[[1, 1], [2, 4], [3, 3], [8, 1], [9, 1], [12, 1]], 1/11943936], [[[1, 1], [2, 4], [3, 3], [8, 1], [12, 1], [14, 1]], 1/774144], [[[1, 1], [2, 4], [3, 3], [8, 1], [12, 1], [18, 1]], 1/2985984], [[[1, 1], [2, 4], [3, 3], [9, 1], [10, 1], [12, 1]], 11/37324800], [[[1, 1], [2, 4], [3, 4], [4, 1], [5, 1], [6, 3]], 811/96745881600], [[[1, 1], [2, 4], [3, 4], [4, 1], [5, 1], [14, 1]], 1/348364800], [[[1, 1], [2, 4], [3, 4], [4, 1], [5, 1], [18, 1]], 1/1343692800], [[[1, 1], [2, 4], [3, 4], [4, 1], [5, 2], [6, 1]], 1/35831808000], [[[1, 1], [2, 4], [3, 4], [4, 1], [6, 1], [8, 2]], 7/11466178560], [[[1, 1], [2, 4], [3, 4], [4, 1], [6, 1], [10, 2]], 49/35831808000], [[[1, 1], [2, 4], [3, 4], [4, 1], [6, 1], [12, 2]], 1727/17199267840], [[[1, 1], [2, 4], [3, 4], [4, 1], [6, 1], [15, 1]], 1/1791590400], [[[1, 1], [2, 4], [3, 4], [4, 1], [6, 1], [20, 1]], 1/1194393600], [[[1, 1], [2, 4], [3, 4], [4, 1], [6, 1], [24, 1]], 1/1433272320], [[[1, 1], [2, 4], [3, 4], [4, 1], [6, 1], [30, 1]], 1/1791590400], [[[1, 1], [2, 4], [3, 4], [4, 1], [6, 2], [9, 1]], 17/107495424], [[[1, 1], [2, 4], [3, 4], [4, 1], [6, 2], [18, 1]], 1/3224862720], [[[1, 1], [2, 4], [3, 4], [4, 1], [6, 3], [8, 1]], 5677/154793410560], [[[1, 1], [2, 4], [3, 4], [4, 1], [6, 3], [10, 1]], 811/96745881600], [[[1, 1], [2, 4], [3, 4], [4, 1], [6, 3], [12, 1]], 95101/92876046336], [[[1, 1], [2, 4], [3, 4], [4, 1], [7, 1], [8, 1]], 1/1114767360], [[[1, 1], [2, 4], [3, 4], [4, 1], [8, 1], [9, 1]], 41/1433272320], [[[1, 1], [2, 4], [3, 4], [4, 1], [8, 1], [14, 1]], 1/92897280], [[[1, 1], [2, 4], [3, 4], [4, 1], [8, 1], [18, 1]], 7/2149908480], [[[1, 1], [2, 4], [3, 4], [4, 1], [9, 1], [12, 1]], 1/17915904], [[[1, 1], [2, 4], [3, 4], [4, 1], [10, 1], [14, 1]], 1/348364800], [[[1, 1], [2, 4], [3, 4], [4, 1], [10, 1], [18, 1]], 1/1343692800], [[[1, 1], [2, 4], [3, 4], [4, 1], [12, 1], [14, 1]], 1/209018880], [[[1, 1], [2, 4], [3, 4], [4, 1], [12, 1], [18, 1]], 1/806215680], [[[1, 1], [2, 4], [3, 4], [4, 2], [5, 1], [8, 1]], 1/1592524800], [[[1, 1], [2, 4], [3, 4], [4, 2], [6, 1], [7, 1]], 1/5016453120], [[[1, 1], [2, 4], [3, 4], [4, 2], [6, 1], [9, 1]], 41/6449725440], [[[1, 1], [2, 4], [3, 4], [4, 2], [6, 1], [14, 1]], 1/2508226560], [[[1, 1], [2, 4], [3, 4], [4, 2], [6, 1], [18, 1]], 77/309586821120], [[[1, 1], [2, 4], [3, 4], [4, 2], [6, 2], [8, 1]], 1/8599633920], [[[1, 1], [2, 4], [3, 4], [4, 2], [6, 2], [10, 1]], 1/5374771200], [[[1, 1], [2, 4], [3, 4], [4, 2], [6, 2], [12, 1]], 705943/14860167413760], [[[1, 1], [2, 4], [3, 4], [4, 2], [8, 1], [10, 1]], 1/1592524800], [[[1, 1], [2, 4], [3, 4], [4, 2], [8, 1], [12, 1]], 1/859963392], [[[1, 1], [2, 4], [3, 4], [4, 2], [10, 1], [12, 1]], 11/26873856000], [[[1, 1], [2, 4], [3, 4], [4, 3], [5, 1], [6, 1]], 1/7166361600], [[[1, 1], [2, 4], [3, 4], [4, 3], [6, 1], [8, 1]], 11/22932357120], [[[1, 1], [2, 4], [3, 4], [4, 3], [6, 1], [10, 1]], 1/4777574400], [[[1, 1], [2, 4], [3, 4], [4, 3], [6, 1], [12, 1]], 107/34398535680], [[[1, 1], [2, 4], [3, 4], [5, 1], [6, 1], [9, 1]], 1/5598720], [[[1, 1], [2, 4], [3, 4], [6, 1], [7, 1], [10, 1]], 1/522547200], [[[1, 1], [2, 4], [3, 4], [6, 1], [7, 1], [12, 1]], 13/179159040], [[[1, 1], [2, 4], [3, 4], [6, 1], [8, 1], [9, 1]], 1/4478976], [[[1, 1], [2, 4], [3, 4], [6, 1], [8, 1], [14, 1]], 1/418037760], [[[1, 1], [2, 4], [3, 4], [6, 1], [8, 1], [18, 1]], 1/1289945088], [[[1, 1], [2, 4], [3, 4], [6, 1], [9, 1], [10, 1]], 41/671846400], [[[1, 1], [2, 4], [3, 4], [6, 1], [9, 1], [12, 1]], 851/1612431360], [[[1, 1], [2, 4], [3, 4], [6, 1], [10, 1], [14, 1]], 1/174182400], [[[1, 1], [2, 4], [3, 4], [6, 1], [10, 1], [18, 1]], 61/20155392000], [[[1, 1], [2, 4], [3, 4], [6, 1], [12, 1], [14, 1]], 13/35831808], [[[1, 1], [2, 4], [3, 4], [6, 1], [12, 1], [18, 1]], 637/4837294080], [[[1, 1], [2, 4], [3, 4], [6, 2], [8, 1], [10, 1]], 1/895795200], [[[1, 1], [2, 4], [3, 4], [6, 2], [8, 1], [12, 1]], 1547/34398535680], [[[1, 1], [2, 4], [3, 4], [6, 2], [10, 1], [12, 1]], 19201/107495424000], [[[1, 1], [2, 4], [3, 5], [4, 1], [5, 1], [8, 1]], 1/2388787200], [[[1, 1], [2, 4], [3, 5], [4, 1], [6, 1], [9, 1]], 1/3224862720], [[[1, 1], [2, 4], [3, 5], [4, 1], [6, 1], [14, 1]], 1/627056640], [[[1, 1], [2, 4], [3, 5], [4, 1], [6, 1], [18, 1]], 1/1934917632], [[[1, 1], [2, 4], [3, 5], [4, 1], [6, 2], [8, 1]], 11/11466178560], [[[1, 1], [2, 4], [3, 5], [4, 1], [6, 2], [10, 1]], 1/1343692800], [[[1, 1], [2, 4], [3, 5], [4, 1], [6, 2], [12, 1]], 1547/51597803520], [[[1, 1], [2, 4], [3, 5], [4, 1], [8, 1], [12, 1]], 11/1911029760], [[[1, 1], [2, 4], [3, 5], [4, 2], [5, 1], [6, 1]], 1/10749542400], [[[1, 1], [2, 4], [3, 5], [4, 2], [6, 1], [8, 1]], 1/2149908480], [[[1, 1], [2, 4], [3, 5], [4, 2], [6, 1], [12, 1]], 121/25798901760], [[[1, 1], [2, 4], [3, 5], [5, 1], [6, 1], [10, 1]], 1/1119744000], [[[1, 1], [2, 4], [3, 5], [5, 1], [6, 1], [12, 1]], 91/2687385600], [[[1, 1], [2, 4], [3, 5], [6, 1], [8, 1], [10, 1]], 1/895795200], [[[1, 1], [2, 4], [3, 5], [6, 1], [8, 1], [12, 1]], 91/2149908480], [[[1, 1], [2, 4], [3, 5], [6, 1], [10, 1], [12, 1]], 11/895795200], [[[1, 1], [2, 4], [3, 6], [4, 1], [5, 1], [6, 1]], 1/10749542400], [[[1, 1], [2, 4], [3, 6], [4, 1], [6, 1], [8, 1]], 7/17199267840], [[[1, 1], [2, 4], [3, 6], [4, 1], [6, 1], [10, 1]], 1/10749542400], [[[1, 1], [2, 4], [3, 6], [4, 1], [6, 1], [12, 1]], 11/51597803520], [[[1, 1], [2, 4], [4, 1], [5, 1], [6, 1], [10, 3]], 1/2880000], [[[1, 1], [2, 4], [4, 1], [5, 1], [6, 1], [12, 3]], 1/3317760], [[[1, 1], [2, 4], [4, 1], [5, 1], [6, 1], [18, 2]], 1/466560], [[[1, 1], [2, 4], [4, 1], [5, 1], [6, 3], [8, 2]], 1/119439360], [[[1, 1], [2, 4], [4, 1], [5, 1], [6, 3], [10, 2]], 1/373248000], [[[1, 1], [2, 4], [4, 1], [5, 1], [6, 3], [12, 2]], 11/35831808], [[[1, 1], [2, 4], [4, 1], [5, 1], [6, 3], [15, 1]], 1/18662400], [[[1, 1], [2, 4], [4, 1], [5, 1], [6, 3], [20, 1]], 1/12441600], [[[1, 1], [2, 4], [4, 1], [5, 1], [6, 3], [24, 1]], 1/14929920], [[[1, 1], [2, 4], [4, 1], [5, 1], [6, 3], [30, 1]], 1/18662400], [[[1, 1], [2, 4], [4, 1], [5, 1], [6, 4], [14, 1]], 1/348364800], [[[1, 1], [2, 4], [4, 1], [5, 1], [6, 4], [18, 1]], 41/1343692800], [[[1, 1], [2, 4], [4, 1], [5, 1], [6, 5], [10, 1]], 1/746496000], [[[1, 1], [2, 4], [4, 1], [5, 1], [6, 5], [12, 1]], 11/1791590400], [[[1, 1], [2, 4], [4, 1], [5, 1], [8, 2], [14, 1]], 1/430080], [[[1, 1], [2, 4], [4, 1], [5, 1], [8, 2], [18, 1]], 1/1658880], [[[1, 1], [2, 4], [4, 1], [5, 1], [10, 2], [14, 1]], 1/1344000], [[[1, 1], [2, 4], [4, 1], [5, 1], [10, 2], [18, 1]], 1/5184000], [[[1, 1], [2, 4], [4, 1], [5, 1], [12, 2], [14, 1]], 1/645120], [[[1, 1], [2, 4], [4, 1], [5, 1], [12, 2], [18, 1]], 1/2488320], [[[1, 1], [2, 4], [4, 1], [5, 1], [14, 1], [15, 1]], 1/67200], [[[1, 1], [2, 4], [4, 1], [5, 1], [14, 1], [20, 1]], 1/44800], [[[1, 1], [2, 4], [4, 1], [5, 1], [14, 1], [24, 1]], 1/53760], [[[1, 1], [2, 4], [4, 1], [5, 1], [14, 1], [30, 1]], 1/67200], [[[1, 1], [2, 4], [4, 1], [5, 1], [15, 1], [18, 1]], 1/259200], [[[1, 1], [2, 4], [4, 1], [5, 1], [18, 1], [20, 1]], 1/172800], [[[1, 1], [2, 4], [4, 1], [5, 1], [18, 1], [24, 1]], 1/207360], [[[1, 1], [2, 4], [4, 1], [5, 1], [18, 1], [30, 1]], 1/259200], [[[1, 1], [2, 4], [4, 1], [5, 2], [6, 1], [8, 2]], 7/44236800], [[[1, 1], [2, 4], [4, 1], [5, 2], [6, 1], [10, 2]], 349/138240000], [[[1, 1], [2, 4], [4, 1], [5, 2], [6, 1], [12, 2]], 17/66355200], [[[1, 1], [2, 4], [4, 1], [5, 2], [6, 1], [15, 1]], 1/6912000], [[[1, 1], [2, 4], [4, 1], [5, 2], [6, 1], [20, 1]], 1/4608000], [[[1, 1], [2, 4], [4, 1], [5, 2], [6, 1], [24, 1]], 1/5529600], [[[1, 1], [2, 4], [4, 1], [5, 2], [6, 1], [30, 1]], 1/6912000], [[[1, 1], [2, 4], [4, 1], [5, 2], [6, 2], [18, 1]], 1/12441600], [[[1, 1], [2, 4], [4, 1], [5, 2], [6, 3], [8, 1]], 7/597196800], [[[1, 1], [2, 4], [4, 1], [5, 2], [6, 3], [10, 1]], 1/373248000], [[[1, 1], [2, 4], [4, 1], [5, 2], [6, 3], [12, 1]], 7/358318080], [[[1, 1], [2, 4], [4, 1], [5, 2], [7, 1], [8, 1]], 1/4300800], [[[1, 1], [2, 4], [4, 1], [5, 2], [8, 1], [9, 1]], 1/5529600], [[[1, 1], [2, 4], [4, 1], [5, 2], [8, 1], [14, 1]], 1/358400], [[[1, 1], [2, 4], [4, 1], [5, 2], [8, 1], [18, 1]], 7/8294400], [[[1, 1], [2, 4], [4, 1], [5, 2], [10, 1], [14, 1]], 1/1344000], [[[1, 1], [2, 4], [4, 1], [5, 2], [10, 1], [18, 1]], 1/5184000], [[[1, 1], [2, 4], [4, 1], [5, 2], [12, 1], [14, 1]], 1/806400], [[[1, 1], [2, 4], [4, 1], [5, 2], [12, 1], [18, 1]], 1/3110400], [[[1, 1], [2, 4], [4, 1], [5, 3], [6, 1], [10, 1]], 1/2880000], [[[1, 1], [2, 4], [4, 1], [5, 3], [6, 1], [12, 1]], 1/6912000], [[[1, 1], [2, 4], [4, 1], [6, 1], [8, 1], [10, 3]], 1/768000], [[[1, 1], [2, 4], [4, 1], [6, 1], [8, 1], [12, 3]], 7/5308416], [[[1, 1], [2, 4], [4, 1], [6, 1], [8, 1], [18, 2]], 7/746496], [[[1, 1], [2, 4], [4, 1], [6, 1], [8, 2], [10, 2]], 11/8847360], [[[1, 1], [2, 4], [4, 1], [6, 1], [8, 2], [12, 2]], 23/21233664], [[[1, 1], [2, 4], [4, 1], [6, 1], [8, 2], [15, 1]], 7/2211840], [[[1, 1], [2, 4], [4, 1], [6, 1], [8, 2], [20, 1]], 7/1474560], [[[1, 1], [2, 4], [4, 1], [6, 1], [8, 2], [24, 1]], 13/589824], [[[1, 1], [2, 4], [4, 1], [6, 1], [8, 2], [30, 1]], 7/2211840], [[[1, 1], [2, 4], [4, 1], [6, 1], [8, 3], [10, 1]], 7/737280], [[[1, 1], [2, 4], [4, 1], [6, 1], [8, 3], [12, 1]], 5/1179648], [[[1, 1], [2, 4], [4, 1], [6, 1], [10, 1], [12, 3]], 31/9953280], [[[1, 1], [2, 4], [4, 1], [6, 1], [10, 1], [18, 2]], 1/466560], [[[1, 1], [2, 4], [4, 1], [6, 1], [10, 1], [28, 1]], 1/6720], [[[1, 1], [2, 4], [4, 1], [6, 1], [10, 1], [36, 1]], 1/8640], [[[1, 1], [2, 4], [4, 1], [6, 1], [10, 2], [12, 2]], 13/13271040], [[[1, 1], [2, 4], [4, 1], [6, 1], [10, 2], [15, 1]], 49/6912000], [[[1, 1], [2, 4], [4, 1], [6, 1], [10, 2], [20, 1]], 49/4608000], [[[1, 1], [2, 4], [4, 1], [6, 1], [10, 2], [24, 1]], 49/5529600], [[[1, 1], [2, 4], [4, 1], [6, 1], [10, 2], [30, 1]], 49/6912000], [[[1, 1], [2, 4], [4, 1], [6, 1], [10, 3], [12, 1]], 1/1382400], [[[1, 1], [2, 4], [4, 1], [6, 1], [12, 1], [18, 2]], 1/279936], [[[1, 1], [2, 4], [4, 1], [6, 1], [12, 1], [28, 1]], 1/16128], [[[1, 1], [2, 4], [4, 1], [6, 1], [12, 1], [36, 1]], 1/13824], [[[1, 1], [2, 4], [4, 1], [6, 1], [12, 2], [15, 1]], 17/3317760], [[[1, 1], [2, 4], [4, 1], [6, 1], [12, 2], [16, 1]], 1/27648], [[[1, 1], [2, 4], [4, 1], [6, 1], [12, 2], [20, 1]], 3/81920], [[[1, 1], [2, 4], [4, 1], [6, 1], [12, 2], [24, 1]], 125/2654208], [[[1, 1], [2, 4], [4, 1], [6, 1], [12, 2], [30, 1]], 17/3317760], [[[1, 1], [2, 4], [4, 1], [6, 1], [15, 1], [20, 1]], 1/230400], [[[1, 1], [2, 4], [4, 1], [6, 1], [15, 1], [24, 1]], 1/276480], [[[1, 1], [2, 4], [4, 1], [6, 1], [15, 1], [30, 1]], 1/21600], [[[1, 1], [2, 4], [4, 1], [6, 1], [20, 1], [24, 1]], 1/184320], [[[1, 1], [2, 4], [4, 1], [6, 1], [20, 1], [30, 1]], 1/230400], [[[1, 1], [2, 4], [4, 1], [6, 1], [24, 1], [30, 1]], 1/276480], [[[1, 1], [2, 4], [4, 1], [6, 2], [8, 2], [18, 1]], 7/3981312], [[[1, 1], [2, 4], [4, 1], [6, 2], [10, 2], [18, 1]], 49/12441600], [[[1, 1], [2, 4], [4, 1], [6, 2], [12, 2], [14, 1]], 1/387072], [[[1, 1], [2, 4], [4, 1], [6, 2], [12, 2], [18, 1]], 7/1990656], [[[1, 1], [2, 4], [4, 1], [6, 2], [15, 1], [18, 1]], 1/622080], [[[1, 1], [2, 4], [4, 1], [6, 2], [18, 1], [20, 1]], 1/414720], [[[1, 1], [2, 4], [4, 1], [6, 2], [18, 1], [24, 1]], 1/497664], [[[1, 1], [2, 4], [4, 1], [6, 2], [18, 1], [30, 1]], 1/622080], [[[1, 1], [2, 4], [4, 1], [6, 3], [7, 1], [14, 1]], 1/870912], [[[1, 1], [2, 4], [4, 1], [6, 3], [8, 1], [10, 2]], 7/597196800], [[[1, 1], [2, 4], [4, 1], [6, 3], [8, 1], [12, 2]], 385/286654464], [[[1, 1], [2, 4], [4, 1], [6, 3], [8, 1], [15, 1]], 7/29859840], [[[1, 1], [2, 4], [4, 1], [6, 3], [8, 1], [16, 1]], 5/1990656], [[[1, 1], [2, 4], [4, 1], [6, 3], [8, 1], [20, 1]], 23/19906560], [[[1, 1], [2, 4], [4, 1], [6, 3], [8, 1], [24, 1]], 13/7962624], [[[1, 1], [2, 4], [4, 1], [6, 3], [8, 1], [30, 1]], 7/29859840], [[[1, 1], [2, 4], [4, 1], [6, 3], [8, 2], [10, 1]], 1/119439360], [[[1, 1], [2, 4], [4, 1], [6, 3], [8, 2], [12, 1]], 197/573308928], [[[1, 1], [2, 4], [4, 1], [6, 3], [9, 1], [18, 1]], 1/1119744], [[[1, 1], [2, 4], [4, 1], [6, 3], [10, 1], [12, 2]], 271/179159040], [[[1, 1], [2, 4], [4, 1], [6, 3], [10, 1], [15, 1]], 1/18662400], [[[1, 1], [2, 4], [4, 1], [6, 3], [10, 1], [20, 1]], 1/12441600], [[[1, 1], [2, 4], [4, 1], [6, 3], [10, 1], [24, 1]], 1/14929920], [[[1, 1], [2, 4], [4, 1], [6, 3], [10, 1], [30, 1]], 1/18662400], [[[1, 1], [2, 4], [4, 1], [6, 3], [10, 2], [12, 1]], 1331/1791590400], [[[1, 1], [2, 4], [4, 1], [6, 3], [12, 1], [15, 1]], 7/17915904], [[[1, 1], [2, 4], [4, 1], [6, 3], [12, 1], [16, 1]], 1/1492992], [[[1, 1], [2, 4], [4, 1], [6, 3], [12, 1], [20, 1]], 67/59719680], [[[1, 1], [2, 4], [4, 1], [6, 3], [12, 1], [24, 1]], 83/71663616], [[[1, 1], [2, 4], [4, 1], [6, 3], [12, 1], [30, 1]], 7/17915904], [[[1, 1], [2, 4], [4, 1], [6, 4], [7, 1], [8, 1]], 1/1114767360], [[[1, 1], [2, 4], [4, 1], [6, 4], [8, 1], [9, 1]], 1/1433272320], [[[1, 1], [2, 4], [4, 1], [6, 4], [8, 1], [14, 1]], 1/92897280], [[[1, 1], [2, 4], [4, 1], [6, 4], [8, 1], [18, 1]], 287/2149908480], [[[1, 1], [2, 4], [4, 1], [6, 4], [10, 1], [14, 1]], 1/348364800], [[[1, 1], [2, 4], [4, 1], [6, 4], [10, 1], [18, 1]], 41/1343692800], [[[1, 1], [2, 4], [4, 1], [6, 4], [12, 1], [14, 1]], 1/209018880], [[[1, 1], [2, 4], [4, 1], [6, 4], [12, 1], [18, 1]], 11/50388480], [[[1, 1], [2, 4], [4, 1], [6, 5], [8, 1], [10, 1]], 1/199065600], [[[1, 1], [2, 4], [4, 1], [6, 5], [8, 1], [12, 1]], 77/2866544640], [[[1, 1], [2, 4], [4, 1], [6, 5], [10, 1], [12, 1]], 1/119439360], [[[1, 1], [2, 4], [4, 1], [7, 1], [8, 1], [10, 2]], 1/4300800], [[[1, 1], [2, 4], [4, 1], [7, 1], [8, 1], [12, 2]], 1/2064384], [[[1, 1], [2, 4], [4, 1], [7, 1], [8, 1], [15, 1]], 1/215040], [[[1, 1], [2, 4], [4, 1], [7, 1], [8, 1], [20, 1]], 1/143360], [[[1, 1], [2, 4], [4, 1], [7, 1], [8, 1], [24, 1]], 1/172032], [[[1, 1], [2, 4], [4, 1], [7, 1], [8, 1], [30, 1]], 1/215040], [[[1, 1], [2, 4], [4, 1], [7, 1], [14, 1], [18, 1]], 1/12096], [[[1, 1], [2, 4], [4, 1], [8, 1], [9, 1], [10, 2]], 1/5529600], [[[1, 1], [2, 4], [4, 1], [8, 1], [9, 1], [12, 2]], 1/2654208], [[[1, 1], [2, 4], [4, 1], [8, 1], [9, 1], [15, 1]], 1/276480], [[[1, 1], [2, 4], [4, 1], [8, 1], [9, 1], [20, 1]], 1/184320], [[[1, 1], [2, 4], [4, 1], [8, 1], [9, 1], [24, 1]], 1/221184], [[[1, 1], [2, 4], [4, 1], [8, 1], [9, 1], [30, 1]], 1/276480], [[[1, 1], [2, 4], [4, 1], [8, 1], [10, 2], [14, 1]], 1/358400], [[[1, 1], [2, 4], [4, 1], [8, 1], [10, 2], [18, 1]], 7/8294400], [[[1, 1], [2, 4], [4, 1], [8, 1], [12, 2], [14, 1]], 1/172032], [[[1, 1], [2, 4], [4, 1], [8, 1], [12, 2], [18, 1]], 7/3981312], [[[1, 1], [2, 4], [4, 1], [8, 1], [14, 1], [15, 1]], 1/17920], [[[1, 1], [2, 4], [4, 1], [8, 1], [14, 1], [16, 1]], 5/7168], [[[1, 1], [2, 4], [4, 1], [8, 1], [14, 1], [20, 1]], 11/35840], [[[1, 1], [2, 4], [4, 1], [8, 1], [14, 1], [24, 1]], 19/43008], [[[1, 1], [2, 4], [4, 1], [8, 1], [14, 1], [30, 1]], 1/17920], [[[1, 1], [2, 4], [4, 1], [8, 1], [15, 1], [18, 1]], 7/414720], [[[1, 1], [2, 4], [4, 1], [8, 1], [16, 1], [18, 1]], 5/27648], [[[1, 1], [2, 4], [4, 1], [8, 1], [18, 1], [20, 1]], 23/276480], [[[1, 1], [2, 4], [4, 1], [8, 1], [18, 1], [24, 1]], 13/110592], [[[1, 1], [2, 4], [4, 1], [8, 1], [18, 1], [30, 1]], 7/414720], [[[1, 1], [2, 4], [4, 1], [8, 2], [10, 1], [14, 1]], 1/430080], [[[1, 1], [2, 4], [4, 1], [8, 2], [10, 1], [18, 1]], 1/1658880], [[[1, 1], [2, 4], [4, 1], [8, 2], [12, 1], [14, 1]], 1/258048], [[[1, 1], [2, 4], [4, 1], [8, 2], [12, 1], [18, 1]], 1/995328], [[[1, 1], [2, 4], [4, 1], [9, 1], [14, 1], [18, 1]], 1/4032], [[[1, 1], [2, 4], [4, 1], [10, 1], [12, 2], [14, 1]], 1/645120], [[[1, 1], [2, 4], [4, 1], [10, 1], [12, 2], [18, 1]], 1/2488320], [[[1, 1], [2, 4], [4, 1], [10, 1], [14, 1], [15, 1]], 1/67200], [[[1, 1], [2, 4], [4, 1], [10, 1], [14, 1], [20, 1]], 1/44800], [[[1, 1], [2, 4], [4, 1], [10, 1], [14, 1], [24, 1]], 1/53760], [[[1, 1], [2, 4], [4, 1], [10, 1], [14, 1], [30, 1]], 1/67200], [[[1, 1], [2, 4], [4, 1], [10, 1], [15, 1], [18, 1]], 1/259200], [[[1, 1], [2, 4], [4, 1], [10, 1], [18, 1], [20, 1]], 1/172800], [[[1, 1], [2, 4], [4, 1], [10, 1], [18, 1], [24, 1]], 1/207360], [[[1, 1], [2, 4], [4, 1], [10, 1], [18, 1], [30, 1]], 1/259200], [[[1, 1], [2, 4], [4, 1], [10, 2], [12, 1], [14, 1]], 1/806400], [[[1, 1], [2, 4], [4, 1], [10, 2], [12, 1], [18, 1]], 1/3110400], [[[1, 1], [2, 4], [4, 1], [12, 1], [14, 1], [15, 1]], 1/40320], [[[1, 1], [2, 4], [4, 1], [12, 1], [14, 1], [16, 1]], 1/5376], [[[1, 1], [2, 4], [4, 1], [12, 1], [14, 1], [20, 1]], 1/5376], [[[1, 1], [2, 4], [4, 1], [12, 1], [14, 1], [24, 1]], 1/4608], [[[1, 1], [2, 4], [4, 1], [12, 1], [14, 1], [30, 1]], 1/40320], [[[1, 1], [2, 4], [4, 1], [12, 1], [15, 1], [18, 1]], 1/155520], [[[1, 1], [2, 4], [4, 1], [12, 1], [16, 1], [18, 1]], 1/20736], [[[1, 1], [2, 4], [4, 1], [12, 1], [18, 1], [20, 1]], 1/20736], [[[1, 1], [2, 4], [4, 1], [12, 1], [18, 1], [24, 1]], 7/124416], [[[1, 1], [2, 4], [4, 1], [12, 1], [18, 1], [30, 1]], 1/155520], [[[1, 1], [2, 4], [4, 2], [5, 1], [6, 4], [8, 1]], 1/1592524800], [[[1, 1], [2, 4], [4, 2], [5, 1], [8, 1], [10, 2]], 1/6144000], [[[1, 1], [2, 4], [4, 2], [5, 1], [8, 1], [12, 2]], 1/2949120], [[[1, 1], [2, 4], [4, 2], [5, 1], [8, 1], [15, 1]], 1/307200], [[[1, 1], [2, 4], [4, 2], [5, 1], [8, 1], [20, 1]], 1/204800], [[[1, 1], [2, 4], [4, 2], [5, 1], [8, 1], [24, 1]], 1/245760], [[[1, 1], [2, 4], [4, 2], [5, 1], [8, 1], [30, 1]], 1/307200], [[[1, 1], [2, 4], [4, 2], [5, 1], [8, 2], [10, 1]], 1/20480], [[[1, 1], [2, 4], [4, 2], [5, 2], [6, 1], [7, 1]], 1/19353600], [[[1, 1], [2, 4], [4, 2], [5, 2], [6, 1], [9, 1]], 1/24883200], [[[1, 1], [2, 4], [4, 2], [5, 2], [6, 1], [14, 1]], 1/9676800], [[[1, 1], [2, 4], [4, 2], [5, 2], [6, 1], [18, 1]], 77/1194393600], [[[1, 1], [2, 4], [4, 2], [5, 2], [6, 2], [8, 1]], 1/33177600], [[[1, 1], [2, 4], [4, 2], [5, 2], [6, 2], [10, 1]], 1/20736000], [[[1, 1], [2, 4], [4, 2], [5, 2], [6, 2], [12, 1]], 4213/57330892800], [[[1, 1], [2, 4], [4, 2], [5, 2], [8, 1], [10, 1]], 1/6144000], [[[1, 1], [2, 4], [4, 2], [5, 2], [8, 1], [12, 1]], 1/3317760], [[[1, 1], [2, 4], [4, 2], [5, 2], [10, 1], [12, 1]], 11/103680000], [[[1, 1], [2, 4], [4, 2], [6, 1], [7, 1], [8, 2]], 1/6193152], [[[1, 1], [2, 4], [4, 2], [6, 1], [7, 1], [10, 2]], 1/19353600], [[[1, 1], [2, 4], [4, 2], [6, 1], [7, 1], [12, 2]], 17/9289728], [[[1, 1], [2, 4], [4, 2], [6, 1], [7, 1], [15, 1]], 1/967680], [[[1, 1], [2, 4], [4, 2], [6, 1], [7, 1], [20, 1]], 1/645120], [[[1, 1], [2, 4], [4, 2], [6, 1], [7, 1], [24, 1]], 1/774144], [[[1, 1], [2, 4], [4, 2], [6, 1], [7, 1], [30, 1]], 1/967680], [[[1, 1], [2, 4], [4, 2], [6, 1], [8, 2], [9, 1]], 1/7962624], [[[1, 1], [2, 4], [4, 2], [6, 1], [8, 2], [14, 1]], 1/3096576], [[[1, 1], [2, 4], [4, 2], [6, 1], [8, 2], [18, 1]], 2345/382205952], [[[1, 1], [2, 4], [4, 2], [6, 1], [9, 1], [10, 2]], 1/24883200], [[[1, 1], [2, 4], [4, 2], [6, 1], [9, 1], [12, 2]], 17/11943936], [[[1, 1], [2, 4], [4, 2], [6, 1], [9, 1], [15, 1]], 1/1244160], [[[1, 1], [2, 4], [4, 2], [6, 1], [9, 1], [20, 1]], 1/829440], [[[1, 1], [2, 4], [4, 2], [6, 1], [9, 1], [24, 1]], 1/995328], [[[1, 1], [2, 4], [4, 2], [6, 1], [9, 1], [30, 1]], 1/1244160], [[[1, 1], [2, 4], [4, 2], [6, 1], [10, 2], [14, 1]], 1/9676800], [[[1, 1], [2, 4], [4, 2], [6, 1], [10, 2], [18, 1]], 77/1194393600], [[[1, 1], [2, 4], [4, 2], [6, 1], [12, 2], [14, 1]], 41/4644864], [[[1, 1], [2, 4], [4, 2], [6, 1], [12, 2], [18, 1]], 623/191102976], [[[1, 1], [2, 4], [4, 2], [6, 1], [14, 1], [15, 1]], 1/483840], [[[1, 1], [2, 4], [4, 2], [6, 1], [14, 1], [20, 1]], 1/322560], [[[1, 1], [2, 4], [4, 2], [6, 1], [14, 1], [24, 1]], 1/387072], [[[1, 1], [2, 4], [4, 2], [6, 1], [14, 1], [30, 1]], 1/483840], [[[1, 1], [2, 4], [4, 2], [6, 1], [15, 1], [18, 1]], 77/59719680], [[[1, 1], [2, 4], [4, 2], [6, 1], [18, 1], [20, 1]], 77/39813120], [[[1, 1], [2, 4], [4, 2], [6, 1], [18, 1], [24, 1]], 77/47775744], [[[1, 1], [2, 4], [4, 2], [6, 1], [18, 1], [30, 1]], 77/59719680], [[[1, 1], [2, 4], [4, 2], [6, 2], [7, 1], [18, 1]], 1/1741824], [[[1, 1], [2, 4], [4, 2], [6, 2], [8, 1], [10, 2]], 1/33177600], [[[1, 1], [2, 4], [4, 2], [6, 2], [8, 1], [12, 2]], 1/589824], [[[1, 1], [2, 4], [4, 2], [6, 2], [8, 1], [15, 1]], 1/1658880], [[[1, 1], [2, 4], [4, 2], [6, 2], [8, 1], [16, 1]], 7/1327104], [[[1, 1], [2, 4], [4, 2], [6, 2], [8, 1], [20, 1]], 1/1105920], [[[1, 1], [2, 4], [4, 2], [6, 2], [8, 1], [24, 1]], 1/1327104], [[[1, 1], [2, 4], [4, 2], [6, 2], [8, 1], [30, 1]], 1/1658880], [[[1, 1], [2, 4], [4, 2], [6, 2], [8, 2], [10, 1]], 1/6635520], [[[1, 1], [2, 4], [4, 2], [6, 2], [8, 2], [12, 1]], 46129/18345885696], [[[1, 1], [2, 4], [4, 2], [6, 2], [9, 1], [18, 1]], 1/2239488], [[[1, 1], [2, 4], [4, 2], [6, 2], [10, 1], [12, 2]], 1/230400], [[[1, 1], [2, 4], [4, 2], [6, 2], [10, 1], [15, 1]], 1/1036800], [[[1, 1], [2, 4], [4, 2], [6, 2], [10, 1], [20, 1]], 1/691200], [[[1, 1], [2, 4], [4, 2], [6, 2], [10, 1], [24, 1]], 1/829440], [[[1, 1], [2, 4], [4, 2], [6, 2], [10, 1], [30, 1]], 1/1036800], [[[1, 1], [2, 4], [4, 2], [6, 2], [10, 2], [12, 1]], 170101/57330892800], [[[1, 1], [2, 4], [4, 2], [6, 2], [12, 1], [15, 1]], 4213/2866544640], [[[1, 1], [2, 4], [4, 2], [6, 2], [12, 1], [20, 1]], 25717/1911029760], [[[1, 1], [2, 4], [4, 2], [6, 2], [12, 1], [24, 1]], 14965/2293235712], [[[1, 1], [2, 4], [4, 2], [6, 2], [12, 1], [30, 1]], 4213/2866544640], [[[1, 1], [2, 4], [4, 2], [6, 2], [14, 1], [18, 1]], 1/870912], [[[1, 1], [2, 4], [4, 2], [6, 3], [7, 1], [12, 1]], 5/35831808], [[[1, 1], [2, 4], [4, 2], [6, 3], [8, 1], [18, 1]], 1/2985984], [[[1, 1], [2, 4], [4, 2], [6, 3], [9, 1], [12, 1]], 35/322486272], [[[1, 1], [2, 4], [4, 2], [6, 3], [10, 1], [18, 1]], 1/1866240], [[[1, 1], [2, 4], [4, 2], [6, 3], [12, 1], [14, 1]], 47/125411328], [[[1, 1], [2, 4], [4, 2], [6, 3], [12, 1], [18, 1]], 15263/15479341056], [[[1, 1], [2, 4], [4, 2], [6, 4], [8, 1], [10, 1]], 1/1592524800], [[[1, 1], [2, 4], [4, 2], [6, 4], [8, 1], [12, 1]], 71/859963392], [[[1, 1], [2, 4], [4, 2], [6, 4], [10, 1], [12, 1]], 4711/26873856000], [[[1, 1], [2, 4], [4, 2], [7, 1], [8, 1], [14, 1]], 1/14336], [[[1, 1], [2, 4], [4, 2], [7, 1], [12, 1], [14, 1]], 1/112896], [[[1, 1], [2, 4], [4, 2], [7, 1], [12, 1], [18, 1]], 1/435456], [[[1, 1], [2, 4], [4, 2], [8, 1], [9, 1], [18, 1]], 1/18432], [[[1, 1], [2, 4], [4, 2], [8, 1], [10, 1], [12, 2]], 1/2949120], [[[1, 1], [2, 4], [4, 2], [8, 1], [10, 1], [15, 1]], 1/307200], [[[1, 1], [2, 4], [4, 2], [8, 1], [10, 1], [16, 1]], 11/614400], [[[1, 1], [2, 4], [4, 2], [8, 1], [10, 1], [20, 1]], 1/204800], [[[1, 1], [2, 4], [4, 2], [8, 1], [10, 1], [24, 1]], 1/245760], [[[1, 1], [2, 4], [4, 2], [8, 1], [10, 1], [30, 1]], 1/307200], [[[1, 1], [2, 4], [4, 2], [8, 1], [10, 2], [12, 1]], 1/3317760], [[[1, 1], [2, 4], [4, 2], [8, 1], [12, 1], [15, 1]], 1/165888], [[[1, 1], [2, 4], [4, 2], [8, 1], [12, 1], [16, 1]], 1/24576], [[[1, 1], [2, 4], [4, 2], [8, 1], [12, 1], [20, 1]], 29/552960], [[[1, 1], [2, 4], [4, 2], [8, 1], [12, 1], [24, 1]], 35/663552], [[[1, 1], [2, 4], [4, 2], [8, 1], [12, 1], [30, 1]], 1/165888], [[[1, 1], [2, 4], [4, 2], [8, 2], [10, 1], [12, 1]], 143/33177600], [[[1, 1], [2, 4], [4, 2], [9, 1], [12, 1], [14, 1]], 1/145152], [[[1, 1], [2, 4], [4, 2], [9, 1], [12, 1], [18, 1]], 1/559872], [[[1, 1], [2, 4], [4, 2], [10, 1], [12, 1], [15, 1]], 11/5184000], [[[1, 1], [2, 4], [4, 2], [10, 1], [12, 1], [20, 1]], 143/3456000], [[[1, 1], [2, 4], [4, 2], [10, 1], [12, 1], [24, 1]], 77/4147200], [[[1, 1], [2, 4], [4, 2], [10, 1], [12, 1], [30, 1]], 11/5184000], [[[1, 1], [2, 4], [4, 2], [12, 1], [14, 1], [18, 1]], 5/435456], [[[1, 1], [2, 4], [4, 3], [5, 1], [6, 1], [8, 2]], 1/8847360], [[[1, 1], [2, 4], [4, 3], [5, 1], [6, 1], [10, 2]], 1/27648000], [[[1, 1], [2, 4], [4, 3], [5, 1], [6, 1], [12, 2]], 17/13271040], [[[1, 1], [2, 4], [4, 3], [5, 1], [6, 1], [15, 1]], 1/1382400], [[[1, 1], [2, 4], [4, 3], [5, 1], [6, 1], [20, 1]], 1/921600], [[[1, 1], [2, 4], [4, 3], [5, 1], [6, 1], [24, 1]], 1/1105920], [[[1, 1], [2, 4], [4, 3], [5, 1], [6, 1], [30, 1]], 1/1382400], [[[1, 1], [2, 4], [4, 3], [5, 1], [6, 2], [18, 1]], 1/2488320], [[[1, 1], [2, 4], [4, 3], [5, 1], [6, 3], [12, 1]], 7/71663616], [[[1, 1], [2, 4], [4, 3], [5, 1], [12, 1], [14, 1]], 1/161280], [[[1, 1], [2, 4], [4, 3], [5, 1], [12, 1], [18, 1]], 1/622080], [[[1, 1], [2, 4], [4, 3], [5, 2], [6, 1], [8, 1]], 11/88473600], [[[1, 1], [2, 4], [4, 3], [5, 2], [6, 1], [10, 1]], 1/18432000], [[[1, 1], [2, 4], [4, 3], [5, 2], [6, 1], [12, 1]], 17/132710400], [[[1, 1], [2, 4], [4, 3], [6, 1], [7, 1], [14, 1]], 1/64512], [[[1, 1], [2, 4], [4, 3], [6, 1], [8, 1], [10, 2]], 11/88473600], [[[1, 1], [2, 4], [4, 3], [6, 1], [8, 1], [12, 2]], 619/42467328], [[[1, 1], [2, 4], [4, 3], [6, 1], [8, 1], [15, 1]], 11/4423680], [[[1, 1], [2, 4], [4, 3], [6, 1], [8, 1], [16, 1]], 13/294912], [[[1, 1], [2, 4], [4, 3], [6, 1], [8, 1], [20, 1]], 43/2949120], [[[1, 1], [2, 4], [4, 3], [6, 1], [8, 1], [24, 1]], 25/1179648], [[[1, 1], [2, 4], [4, 3], [6, 1], [8, 1], [30, 1]], 11/4423680], [[[1, 1], [2, 4], [4, 3], [6, 1], [8, 2], [10, 1]], 17/5898240], [[[1, 1], [2, 4], [4, 3], [6, 1], [8, 2], [12, 1]], 209/42467328], [[[1, 1], [2, 4], [4, 3], [6, 1], [9, 1], [18, 1]], 1/82944], [[[1, 1], [2, 4], [4, 3], [6, 1], [10, 1], [12, 2]], 419/26542080], [[[1, 1], [2, 4], [4, 3], [6, 1], [10, 1], [15, 1]], 1/921600], [[[1, 1], [2, 4], [4, 3], [6, 1], [10, 1], [16, 1]], 1/92160], [[[1, 1], [2, 4], [4, 3], [6, 1], [10, 1], [20, 1]], 67/1843200], [[[1, 1], [2, 4], [4, 3], [6, 1], [10, 1], [24, 1]], 1/737280], [[[1, 1], [2, 4], [4, 3], [6, 1], [10, 1], [30, 1]], 1/921600], [[[1, 1], [2, 4], [4, 3], [6, 1], [10, 2], [12, 1]], 401/132710400], [[[1, 1], [2, 4], [4, 3], [6, 1], [12, 1], [15, 1]], 17/6635520], [[[1, 1], [2, 4], [4, 3], [6, 1], [12, 1], [16, 1]], 1/73728], [[[1, 1], [2, 4], [4, 3], [6, 1], [12, 1], [20, 1]], 209/4423680], [[[1, 1], [2, 4], [4, 3], [6, 1], [12, 1], [24, 1]], 113/5308416], [[[1, 1], [2, 4], [4, 3], [6, 1], [12, 1], [30, 1]], 17/6635520], [[[1, 1], [2, 4], [4, 3], [6, 1], [14, 1], [18, 1]], 1/2322432], [[[1, 1], [2, 4], [4, 3], [6, 2], [8, 1], [18, 1]], 11/7962624], [[[1, 1], [2, 4], [4, 3], [6, 2], [10, 1], [18, 1]], 1/1658880], [[[1, 1], [2, 4], [4, 3], [6, 2], [12, 1], [14, 1]], 1/12386304], [[[1, 1], [2, 4], [4, 3], [6, 2], [12, 1], [18, 1]], 23/15925248], [[[1, 1], [2, 4], [4, 3], [6, 3], [8, 1], [12, 1]], 601/1146617856], [[[1, 1], [2, 4], [4, 3], [6, 3], [10, 1], [12, 1]], 97/716636160], [[[1, 1], [2, 4], [4, 3], [7, 1], [8, 1], [12, 1]], 1/516096], [[[1, 1], [2, 4], [4, 3], [8, 1], [9, 1], [12, 1]], 1/663552], [[[1, 1], [2, 4], [4, 3], [8, 1], [12, 1], [14, 1]], 1/14336], [[[1, 1], [2, 4], [4, 3], [8, 1], [12, 1], [18, 1]], 19/995328], [[[1, 1], [2, 4], [4, 3], [10, 1], [12, 1], [14, 1]], 1/161280], [[[1, 1], [2, 4], [4, 3], [10, 1], [12, 1], [18, 1]], 1/622080], [[[1, 1], [2, 4], [4, 4], [5, 1], [8, 1], [12, 1]], 1/737280], [[[1, 1], [2, 4], [4, 4], [6, 1], [7, 1], [10, 1]], 1/154828800], [[[1, 1], [2, 4], [4, 4], [6, 1], [7, 1], [12, 1]], 23/53084160], [[[1, 1], [2, 4], [4, 4], [6, 1], [8, 1], [14, 1]], 1/123863040], [[[1, 1], [2, 4], [4, 4], [6, 1], [8, 1], [18, 1]], 37/382205952], [[[1, 1], [2, 4], [4, 4], [6, 1], [9, 1], [10, 1]], 1/199065600], [[[1, 1], [2, 4], [4, 4], [6, 1], [9, 1], [12, 1]], 161/477757440], [[[1, 1], [2, 4], [4, 4], [6, 1], [10, 1], [14, 1]], 1/51609600], [[[1, 1], [2, 4], [4, 4], [6, 1], [10, 1], [18, 1]], 61/5971968000], [[[1, 1], [2, 4], [4, 4], [6, 1], [12, 1], [14, 1]], 65/74317824], [[[1, 1], [2, 4], [4, 4], [6, 1], [12, 1], [18, 1]], 259/477757440], [[[1, 1], [2, 4], [4, 4], [6, 2], [8, 1], [10, 1]], 1/265420800], [[[1, 1], [2, 4], [4, 4], [6, 2], [8, 1], [12, 1]], 919/3397386240], [[[1, 1], [2, 4], [4, 4], [6, 2], [10, 1], [12, 1]], 4337/10616832000], [[[1, 1], [2, 4], [4, 4], [8, 1], [10, 1], [12, 1]], 1/737280], [[[1, 1], [2, 4], [4, 5], [5, 1], [6, 1], [10, 1]], 1/221184000], [[[1, 1], [2, 4], [4, 5], [5, 1], [6, 1], [12, 1]], 161/530841600], [[[1, 1], [2, 4], [4, 5], [6, 1], [8, 1], [10, 1]], 17/58982400], [[[1, 1], [2, 4], [4, 5], [6, 1], [8, 1], [12, 1]], 2903/849346560], [[[1, 1], [2, 4], [4, 5], [6, 1], [10, 1], [12, 1]], 167/176947200], [[[1, 1], [2, 4], [5, 2], [6, 1], [7, 1], [10, 1]], 1/2016000], [[[1, 1], [2, 4], [5, 2], [6, 1], [7, 1], [12, 1]], 1/4838400], [[[1, 1], [2, 4], [5, 2], [6, 1], [8, 1], [14, 1]], 1/1612800], [[[1, 1], [2, 4], [5, 2], [6, 1], [8, 1], [18, 1]], 1/4976640], [[[1, 1], [2, 4], [5, 2], [6, 1], [9, 1], [10, 1]], 1/2592000], [[[1, 1], [2, 4], [5, 2], [6, 1], [9, 1], [12, 1]], 1/6220800], [[[1, 1], [2, 4], [5, 2], [6, 1], [10, 1], [14, 1]], 1/672000], [[[1, 1], [2, 4], [5, 2], [6, 1], [10, 1], [18, 1]], 61/77760000], [[[1, 1], [2, 4], [5, 2], [6, 1], [12, 1], [14, 1]], 1/967680], [[[1, 1], [2, 4], [5, 2], [6, 1], [12, 1], [18, 1]], 7/18662400], [[[1, 1], [2, 4], [5, 2], [6, 2], [8, 1], [10, 1]], 1/3456000], [[[1, 1], [2, 4], [5, 2], [6, 2], [8, 1], [12, 1]], 17/132710400], [[[1, 1], [2, 4], [5, 2], [6, 2], [10, 1], [12, 1]], 211/414720000], [[[1, 1], [2, 4], [6, 1], [7, 1], [8, 2], [10, 1]], 1/645120], [[[1, 1], [2, 4], [6, 1], [7, 1], [8, 2], [12, 1]], 1/1548288], [[[1, 1], [2, 4], [6, 1], [7, 1], [10, 1], [12, 2]], 1/967680], [[[1, 1], [2, 4], [6, 1], [7, 1], [10, 1], [15, 1]], 1/100800], [[[1, 1], [2, 4], [6, 1], [7, 1], [10, 1], [20, 1]], 1/67200], [[[1, 1], [2, 4], [6, 1], [7, 1], [10, 1], [24, 1]], 1/80640], [[[1, 1], [2, 4], [6, 1], [7, 1], [10, 1], [30, 1]], 1/100800], [[[1, 1], [2, 4], [6, 1], [7, 1], [10, 2], [12, 1]], 1/4838400], [[[1, 1], [2, 4], [6, 1], [7, 1], [12, 1], [15, 1]], 1/241920], [[[1, 1], [2, 4], [6, 1], [7, 1], [12, 1], [20, 1]], 1/161280], [[[1, 1], [2, 4], [6, 1], [7, 1], [12, 1], [24, 1]], 1/193536], [[[1, 1], [2, 4], [6, 1], [7, 1], [12, 1], [30, 1]], 1/241920], [[[1, 1], [2, 4], [6, 1], [7, 1], [14, 1], [18, 1]], 1/84672], [[[1, 1], [2, 4], [6, 1], [8, 1], [10, 2], [14, 1]], 1/1612800], [[[1, 1], [2, 4], [6, 1], [8, 1], [10, 2], [18, 1]], 1/4976640], [[[1, 1], [2, 4], [6, 1], [8, 1], [12, 2], [14, 1]], 1/774144], [[[1, 1], [2, 4], [6, 1], [8, 1], [12, 2], [18, 1]], 5/11943936], [[[1, 1], [2, 4], [6, 1], [8, 1], [14, 1], [15, 1]], 1/80640], [[[1, 1], [2, 4], [6, 1], [8, 1], [14, 1], [20, 1]], 1/53760], [[[1, 1], [2, 4], [6, 1], [8, 1], [14, 1], [24, 1]], 1/64512], [[[1, 1], [2, 4], [6, 1], [8, 1], [14, 1], [30, 1]], 1/80640], [[[1, 1], [2, 4], [6, 1], [8, 1], [15, 1], [18, 1]], 1/248832], [[[1, 1], [2, 4], [6, 1], [8, 1], [18, 1], [20, 1]], 1/165888], [[[1, 1], [2, 4], [6, 1], [8, 1], [18, 1], [24, 1]], 5/995328], [[[1, 1], [2, 4], [6, 1], [8, 1], [18, 1], [30, 1]], 1/248832], [[[1, 1], [2, 4], [6, 1], [8, 2], [9, 1], [10, 1]], 1/829440], [[[1, 1], [2, 4], [6, 1], [8, 2], [9, 1], [12, 1]], 1/1990656], [[[1, 1], [2, 4], [6, 1], [8, 2], [10, 1], [14, 1]], 1/215040], [[[1, 1], [2, 4], [6, 1], [8, 2], [10, 1], [18, 1]], 61/24883200], [[[1, 1], [2, 4], [6, 1], [8, 2], [12, 1], [14, 1]], 5/1548288], [[[1, 1], [2, 4], [6, 1], [8, 2], [12, 1], [18, 1]], 7/5971968], [[[1, 1], [2, 4], [6, 1], [9, 1], [10, 1], [12, 2]], 1/1244160], [[[1, 1], [2, 4], [6, 1], [9, 1], [10, 1], [15, 1]], 1/129600], [[[1, 1], [2, 4], [6, 1], [9, 1], [10, 1], [20, 1]], 1/86400], [[[1, 1], [2, 4], [6, 1], [9, 1], [10, 1], [24, 1]], 1/103680], [[[1, 1], [2, 4], [6, 1], [9, 1], [10, 1], [30, 1]], 1/129600], [[[1, 1], [2, 4], [6, 1], [9, 1], [10, 2], [12, 1]], 1/6220800], [[[1, 1], [2, 4], [6, 1], [9, 1], [12, 1], [15, 1]], 1/311040], [[[1, 1], [2, 4], [6, 1], [9, 1], [12, 1], [20, 1]], 1/207360], [[[1, 1], [2, 4], [6, 1], [9, 1], [12, 1], [24, 1]], 1/248832], [[[1, 1], [2, 4], [6, 1], [9, 1], [12, 1], [30, 1]], 1/311040], [[[1, 1], [2, 4], [6, 1], [9, 1], [14, 1], [18, 1]], 1/108864], [[[1, 1], [2, 4], [6, 1], [10, 1], [12, 2], [14, 1]], 1/322560], [[[1, 1], [2, 4], [6, 1], [10, 1], [12, 2], [18, 1]], 61/37324800], [[[1, 1], [2, 4], [6, 1], [10, 1], [14, 1], [15, 1]], 1/33600], [[[1, 1], [2, 4], [6, 1], [10, 1], [14, 1], [20, 1]], 1/22400], [[[1, 1], [2, 4], [6, 1], [10, 1], [14, 1], [24, 1]], 1/26880], [[[1, 1], [2, 4], [6, 1], [10, 1], [14, 1], [30, 1]], 1/33600], [[[1, 1], [2, 4], [6, 1], [10, 1], [15, 1], [18, 1]], 61/3888000], [[[1, 1], [2, 4], [6, 1], [10, 1], [18, 1], [20, 1]], 61/2592000], [[[1, 1], [2, 4], [6, 1], [10, 1], [18, 1], [24, 1]], 61/3110400], [[[1, 1], [2, 4], [6, 1], [10, 1], [18, 1], [30, 1]], 61/3888000], [[[1, 1], [2, 4], [6, 1], [10, 2], [12, 1], [14, 1]], 1/967680], [[[1, 1], [2, 4], [6, 1], [10, 2], [12, 1], [18, 1]], 7/18662400], [[[1, 1], [2, 4], [6, 1], [12, 1], [14, 1], [15, 1]], 1/48384], [[[1, 1], [2, 4], [6, 1], [12, 1], [14, 1], [20, 1]], 1/32256], [[[1, 1], [2, 4], [6, 1], [12, 1], [14, 1], [24, 1]], 5/193536], [[[1, 1], [2, 4], [6, 1], [12, 1], [14, 1], [30, 1]], 1/48384], [[[1, 1], [2, 4], [6, 1], [12, 1], [15, 1], [18, 1]], 7/933120], [[[1, 1], [2, 4], [6, 1], [12, 1], [18, 1], [20, 1]], 7/622080], [[[1, 1], [2, 4], [6, 1], [12, 1], [18, 1], [24, 1]], 7/746496], [[[1, 1], [2, 4], [6, 1], [12, 1], [18, 1], [30, 1]], 7/933120], [[[1, 1], [2, 4], [6, 2], [7, 1], [10, 1], [18, 1]], 1/181440], [[[1, 1], [2, 4], [6, 2], [7, 1], [12, 1], [14, 1]], 1/451584], [[[1, 1], [2, 4], [6, 2], [7, 1], [12, 1], [18, 1]], 5/1741824], [[[1, 1], [2, 4], [6, 2], [8, 1], [10, 1], [12, 2]], 1/1658880], [[[1, 1], [2, 4], [6, 2], [8, 1], [10, 1], [15, 1]], 1/172800], [[[1, 1], [2, 4], [6, 2], [8, 1], [10, 1], [20, 1]], 1/115200], [[[1, 1], [2, 4], [6, 2], [8, 1], [10, 1], [24, 1]], 1/138240], [[[1, 1], [2, 4], [6, 2], [8, 1], [10, 1], [30, 1]], 1/172800], [[[1, 1], [2, 4], [6, 2], [8, 1], [10, 2], [12, 1]], 17/132710400], [[[1, 1], [2, 4], [6, 2], [8, 1], [12, 1], [15, 1]], 17/6635520], [[[1, 1], [2, 4], [6, 2], [8, 1], [12, 1], [20, 1]], 17/4423680], [[[1, 1], [2, 4], [6, 2], [8, 1], [12, 1], [24, 1]], 17/5308416], [[[1, 1], [2, 4], [6, 2], [8, 1], [12, 1], [30, 1]], 17/6635520], [[[1, 1], [2, 4], [6, 2], [8, 1], [14, 1], [18, 1]], 1/145152], [[[1, 1], [2, 4], [6, 2], [8, 2], [10, 1], [12, 1]], 211/132710400], [[[1, 1], [2, 4], [6, 2], [9, 1], [10, 1], [18, 1]], 1/233280], [[[1, 1], [2, 4], [6, 2], [9, 1], [12, 1], [14, 1]], 1/580608], [[[1, 1], [2, 4], [6, 2], [9, 1], [12, 1], [18, 1]], 5/2239488], [[[1, 1], [2, 4], [6, 2], [10, 1], [12, 1], [15, 1]], 211/20736000], [[[1, 1], [2, 4], [6, 2], [10, 1], [12, 1], [20, 1]], 211/13824000], [[[1, 1], [2, 4], [6, 2], [10, 1], [12, 1], [24, 1]], 211/16588800], [[[1, 1], [2, 4], [6, 2], [10, 1], [12, 1], [30, 1]], 211/20736000], [[[1, 1], [2, 4], [6, 2], [10, 1], [14, 1], [18, 1]], 1/60480], [[[1, 1], [2, 4], [6, 2], [12, 1], [14, 1], [18, 1]], 25/1741824], [[[1, 1], [2, 4], [6, 3], [7, 1], [10, 1], [12, 1]], 1/967680], [[[1, 1], [2, 4], [6, 3], [8, 1], [10, 1], [18, 1]], 1/311040], [[[1, 1], [2, 4], [6, 3], [8, 1], [12, 1], [14, 1]], 1/774144], [[[1, 1], [2, 4], [6, 3], [8, 1], [12, 1], [18, 1]], 7/3981312], [[[1, 1], [2, 4], [6, 3], [9, 1], [10, 1], [12, 1]], 1/1244160], [[[1, 1], [2, 4], [6, 3], [10, 1], [12, 1], [14, 1]], 1/322560], [[[1, 1], [2, 4], [6, 3], [10, 1], [12, 1], [18, 1]], 29/4147200], [[[1, 1], [2, 4], [6, 4], [8, 1], [10, 1], [12, 1]], 1/1658880], [[[1, 1], [2, 6], [3, 1], [4, 1], [5, 2], [6, 3]], 1/214990848], [[[1, 1], [2, 6], [3, 1], [4, 1], [5, 2], [9, 1]], 1/995328000], [[[1, 1], [2, 6], [3, 1], [4, 1], [5, 2], [14, 1]], 1/19353600], [[[1, 1], [2, 6], [3, 1], [4, 1], [5, 2], [18, 1]], 1/74649600], [[[1, 1], [2, 6], [3, 1], [4, 1], [6, 1], [8, 3]], 1/7077888], [[[1, 1], [2, 6], [3, 1], [4, 1], [6, 1], [10, 3]], 7/207360000], [[[1, 1], [2, 6], [3, 1], [4, 1], [6, 1], [12, 3]], 1/47775744], [[[1, 1], [2, 6], [3, 1], [4, 1], [6, 1], [14, 2]], 1/225792], [[[1, 1], [2, 6], [3, 1], [4, 1], [6, 1], [18, 2]], 1/2239488], [[[1, 1], [2, 6], [3, 1], [4, 1], [6, 3], [8, 2]], 43/1719926784], [[[1, 1], [2, 6], [3, 1], [4, 1], [6, 3], [10, 2]], 5209/5374771200], [[[1, 1], [2, 6], [3, 1], [4, 1], [6, 3], [12, 2]], 1375/2579890176], [[[1, 1], [2, 6], [3, 1], [4, 1], [6, 3], [15, 1]], 5/53747712], [[[1, 1], [2, 6], [3, 1], [4, 1], [6, 3], [16, 1]], 1/497664], [[[1, 1], [2, 6], [3, 1], [4, 1], [6, 3], [20, 1]], 5/35831808], [[[1, 1], [2, 6], [3, 1], [4, 1], [6, 3], [24, 1]], 457/214990848], [[[1, 1], [2, 6], [3, 1], [4, 1], [6, 3], [30, 1]], 5/53747712], [[[1, 1], [2, 6], [3, 1], [4, 1], [6, 4], [9, 1]], 1601/257989017600], [[[1, 1], [2, 6], [3, 1], [4, 1], [6, 4], [14, 1]], 23/716636160], [[[1, 1], [2, 6], [3, 1], [4, 1], [6, 4], [18, 1]], 43/716636160], [[[1, 1], [2, 6], [3, 1], [4, 1], [6, 5], [8, 1]], 11/5733089280], [[[1, 1], [2, 6], [3, 1], [4, 1], [6, 5], [10, 1]], 269/17915904000], [[[1, 1], [2, 6], [3, 1], [4, 1], [6, 5], [12, 1]], 93449/8599633920], [[[1, 1], [2, 6], [3, 1], [4, 1], [8, 2], [9, 1]], 61/318504960], [[[1, 1], [2, 6], [3, 1], [4, 1], [8, 2], [14, 1]], 19/6193152], [[[1, 1], [2, 6], [3, 1], [4, 1], [8, 2], [18, 1]], 19/23887872], [[[1, 1], [2, 6], [3, 1], [4, 1], [9, 1], [10, 2]], 193/995328000], [[[1, 1], [2, 6], [3, 1], [4, 1], [9, 1], [12, 2]], 1/477757440], [[[1, 1], [2, 6], [3, 1], [4, 1], [9, 1], [15, 1]], 1/49766400], [[[1, 1], [2, 6], [3, 1], [4, 1], [9, 1], [20, 1]], 1/33177600], [[[1, 1], [2, 6], [3, 1], [4, 1], [9, 1], [24, 1]], 1/39813120], [[[1, 1], [2, 6], [3, 1], [4, 1], [9, 1], [30, 1]], 1/49766400], [[[1, 1], [2, 6], [3, 1], [4, 1], [10, 2], [14, 1]], 1/19353600], [[[1, 1], [2, 6], [3, 1], [4, 1], [10, 2], [18, 1]], 1/74649600], [[[1, 1], [2, 6], [3, 1], [4, 1], [12, 2], [14, 1]], 1/9289728], [[[1, 1], [2, 6], [3, 1], [4, 1], [12, 2], [18, 1]], 1/35831808], [[[1, 1], [2, 6], [3, 1], [4, 1], [14, 1], [15, 1]], 1/967680], [[[1, 1], [2, 6], [3, 1], [4, 1], [14, 1], [20, 1]], 1/645120], [[[1, 1], [2, 6], [3, 1], [4, 1], [14, 1], [24, 1]], 1/774144], [[[1, 1], [2, 6], [3, 1], [4, 1], [14, 1], [30, 1]], 1/967680], [[[1, 1], [2, 6], [3, 1], [4, 1], [15, 1], [18, 1]], 1/3732480], [[[1, 1], [2, 6], [3, 1], [4, 1], [18, 1], [20, 1]], 1/2488320], [[[1, 1], [2, 6], [3, 1], [4, 1], [18, 1], [24, 1]], 1/2985984], [[[1, 1], [2, 6], [3, 1], [4, 1], [18, 1], [30, 1]], 1/3732480], [[[1, 1], [2, 6], [3, 1], [4, 2], [5, 1], [6, 4]], 641/343985356800], [[[1, 1], [2, 6], [3, 1], [4, 2], [5, 1], [8, 2]], 109/424673280], [[[1, 1], [2, 6], [3, 1], [4, 2], [5, 1], [10, 2]], 1/1327104000], [[[1, 1], [2, 6], [3, 1], [4, 2], [5, 1], [12, 2]], 1/637009920], [[[1, 1], [2, 6], [3, 1], [4, 2], [5, 1], [15, 1]], 1/66355200], [[[1, 1], [2, 6], [3, 1], [4, 2], [5, 1], [20, 1]], 1/44236800], [[[1, 1], [2, 6], [3, 1], [4, 2], [5, 1], [24, 1]], 1/53084160], [[[1, 1], [2, 6], [3, 1], [4, 2], [5, 1], [30, 1]], 1/66355200], [[[1, 1], [2, 6], [3, 1], [4, 2], [5, 2], [6, 2]], 13/1274019840], [[[1, 1], [2, 6], [3, 1], [4, 2], [5, 2], [8, 1]], 13/1061683200], [[[1, 1], [2, 6], [3, 1], [4, 2], [5, 2], [12, 1]], 1/1061683200], [[[1, 1], [2, 6], [3, 1], [4, 2], [6, 2], [8, 2]], 173/2038431744], [[[1, 1], [2, 6], [3, 1], [4, 2], [6, 2], [10, 2]], 13/1274019840], [[[1, 1], [2, 6], [3, 1], [4, 2], [6, 2], [12, 2]], 4949/9172942848], [[[1, 1], [2, 6], [3, 1], [4, 2], [6, 2], [15, 1]], 13/63700992], [[[1, 1], [2, 6], [3, 1], [4, 2], [6, 2], [20, 1]], 13/42467328], [[[1, 1], [2, 6], [3, 1], [4, 2], [6, 2], [24, 1]], 65/254803968], [[[1, 1], [2, 6], [3, 1], [4, 2], [6, 2], [30, 1]], 13/63700992], [[[1, 1], [2, 6], [3, 1], [4, 2], [6, 3], [9, 1]], 43/967458816], [[[1, 1], [2, 6], [3, 1], [4, 2], [6, 3], [14, 1]], 1/9289728], [[[1, 1], [2, 6], [3, 1], [4, 2], [6, 3], [18, 1]], 1/7077888], [[[1, 1], [2, 6], [3, 1], [4, 2], [6, 4], [8, 1]], 2573/275188285440], [[[1, 1], [2, 6], [3, 1], [4, 2], [6, 4], [10, 1]], 1/19906560], [[[1, 1], [2, 6], [3, 1], [4, 2], [6, 4], [12, 1]], 49553/825564856320], [[[1, 1], [2, 6], [3, 1], [4, 2], [7, 1], [9, 1]], 1/55738368], [[[1, 1], [2, 6], [3, 1], [4, 2], [8, 1], [10, 2]], 13/1061683200], [[[1, 1], [2, 6], [3, 1], [4, 2], [8, 1], [12, 2]], 13/509607936], [[[1, 1], [2, 6], [3, 1], [4, 2], [8, 1], [15, 1]], 13/53084160], [[[1, 1], [2, 6], [3, 1], [4, 2], [8, 1], [20, 1]], 13/35389440], [[[1, 1], [2, 6], [3, 1], [4, 2], [8, 1], [24, 1]], 13/42467328], [[[1, 1], [2, 6], [3, 1], [4, 2], [8, 1], [30, 1]], 13/53084160], [[[1, 1], [2, 6], [3, 1], [4, 2], [8, 2], [12, 1]], 109/339738624], [[[1, 1], [2, 6], [3, 1], [4, 2], [9, 1], [14, 1]], 1/3981312], [[[1, 1], [2, 6], [3, 1], [4, 2], [9, 1], [18, 1]], 1/13436928], [[[1, 1], [2, 6], [3, 1], [4, 2], [10, 1], [12, 2]], 1/8294400], [[[1, 1], [2, 6], [3, 1], [4, 2], [10, 2], [12, 1]], 1/1061683200], [[[1, 1], [2, 6], [3, 1], [4, 2], [12, 1], [15, 1]], 1/53084160], [[[1, 1], [2, 6], [3, 1], [4, 2], [12, 1], [20, 1]], 1/35389440], [[[1, 1], [2, 6], [3, 1], [4, 2], [12, 1], [24, 1]], 1/42467328], [[[1, 1], [2, 6], [3, 1], [4, 2], [12, 1], [30, 1]], 1/53084160], [[[1, 1], [2, 6], [3, 1], [4, 3], [5, 1], [9, 1]], 1/79626240], [[[1, 1], [2, 6], [3, 1], [4, 3], [5, 2], [6, 1]], 1/318504960], [[[1, 1], [2, 6], [3, 1], [4, 3], [6, 1], [8, 2]], 185/509607936], [[[1, 1], [2, 6], [3, 1], [4, 3], [6, 1], [10, 2]], 1/318504960], [[[1, 1], [2, 6], [3, 1], [4, 3], [6, 1], [12, 2]], 35/254803968], [[[1, 1], [2, 6], [3, 1], [4, 3], [6, 1], [15, 1]], 1/15925248], [[[1, 1], [2, 6], [3, 1], [4, 3], [6, 1], [16, 1]], 1/3538944], [[[1, 1], [2, 6], [3, 1], [4, 3], [6, 1], [20, 1]], 1/10616832], [[[1, 1], [2, 6], [3, 1], [4, 3], [6, 1], [24, 1]], 23/63700992], [[[1, 1], [2, 6], [3, 1], [4, 3], [6, 1], [30, 1]], 1/15925248], [[[1, 1], [2, 6], [3, 1], [4, 3], [6, 2], [9, 1]], 19/214990848], [[[1, 1], [2, 6], [3, 1], [4, 3], [6, 2], [14, 1]], 1/2322432], [[[1, 1], [2, 6], [3, 1], [4, 3], [6, 2], [18, 1]], 7/47775744], [[[1, 1], [2, 6], [3, 1], [4, 3], [6, 3], [8, 1]], 73/382205952], [[[1, 1], [2, 6], [3, 1], [4, 3], [6, 3], [10, 1]], 1/4976640], [[[1, 1], [2, 6], [3, 1], [4, 3], [6, 3], [12, 1]], 16487/20639121408], [[[1, 1], [2, 6], [3, 1], [4, 3], [8, 1], [9, 1]], 23/254803968], [[[1, 1], [2, 6], [3, 1], [4, 3], [9, 1], [10, 1]], 1/44236800], [[[1, 1], [2, 6], [3, 1], [4, 3], [9, 1], [12, 1]], 7/238878720], [[[1, 1], [2, 6], [3, 1], [4, 3], [12, 1], [14, 1]], 1/2322432], [[[1, 1], [2, 6], [3, 1], [4, 3], [12, 1], [18, 1]], 1/8957952], [[[1, 1], [2, 6], [3, 1], [4, 4], [5, 1], [6, 2]], 181/14332723200], [[[1, 1], [2, 6], [3, 1], [4, 4], [5, 1], [10, 1]], 1/6635520000], [[[1, 1], [2, 6], [3, 1], [4, 4], [5, 1], [12, 1]], 1/159252480], [[[1, 1], [2, 6], [3, 1], [4, 4], [6, 1], [9, 1]], 17587/1547934105600], [[[1, 1], [2, 6], [3, 1], [4, 4], [6, 1], [14, 1]], 1/371589120], [[[1, 1], [2, 6], [3, 1], [4, 4], [6, 1], [18, 1]], 1/1433272320], [[[1, 1], [2, 6], [3, 1], [4, 4], [6, 2], [8, 1]], 1261/11466178560], [[[1, 1], [2, 6], [3, 1], [4, 4], [6, 2], [10, 1]], 41/31850496000], [[[1, 1], [2, 6], [3, 1], [4, 4], [6, 2], [12, 1]], 581/5733089280], [[[1, 1], [2, 6], [3, 1], [4, 4], [8, 1], [10, 1]], 1/5308416000], [[[1, 1], [2, 6], [3, 1], [4, 4], [8, 1], [12, 1]], 13/127401984], [[[1, 1], [2, 6], [3, 1], [4, 4], [10, 1], [12, 1]], 1/5308416000], [[[1, 1], [2, 6], [3, 1], [4, 5], [6, 1], [8, 1]], 41/1698693120], [[[1, 1], [2, 6], [3, 1], [4, 5], [6, 1], [10, 1]], 7/15925248000], [[[1, 1], [2, 6], [3, 1], [4, 5], [6, 1], [12, 1]], 307/2548039680], [[[1, 1], [2, 6], [3, 1], [5, 1], [6, 2], [8, 2]], 1/59719680], [[[1, 1], [2, 6], [3, 1], [5, 1], [6, 2], [10, 2]], 217/186624000], [[[1, 1], [2, 6], [3, 1], [5, 1], [6, 2], [12, 2]], 19/89579520], [[[1, 1], [2, 6], [3, 1], [5, 1], [6, 2], [15, 1]], 1/9331200], [[[1, 1], [2, 6], [3, 1], [5, 1], [6, 2], [20, 1]], 1/6220800], [[[1, 1], [2, 6], [3, 1], [5, 1], [6, 2], [24, 1]], 1/7464960], [[[1, 1], [2, 6], [3, 1], [5, 1], [6, 2], [30, 1]], 1/9331200], [[[1, 1], [2, 6], [3, 1], [5, 1], [6, 3], [14, 1]], 1/26127360], [[[1, 1], [2, 6], [3, 1], [5, 1], [6, 3], [18, 1]], 7/100776960], [[[1, 1], [2, 6], [3, 1], [5, 1], [6, 4], [10, 1]], 401/22394880000], [[[1, 1], [2, 6], [3, 1], [5, 1], [6, 4], [12, 1]], 1/53747712], [[[1, 1], [2, 6], [3, 1], [5, 1], [8, 2], [10, 1]], 1/27648000], [[[1, 1], [2, 6], [3, 1], [5, 1], [10, 1], [12, 2]], 1/41472000], [[[1, 1], [2, 6], [3, 1], [5, 1], [10, 1], [15, 1]], 1/4320000], [[[1, 1], [2, 6], [3, 1], [5, 1], [10, 1], [20, 1]], 1/2880000], [[[1, 1], [2, 6], [3, 1], [5, 1], [10, 1], [24, 1]], 1/3456000], [[[1, 1], [2, 6], [3, 1], [5, 1], [10, 1], [30, 1]], 1/4320000], [[[1, 1], [2, 6], [3, 1], [5, 1], [14, 1], [18, 1]], 1/362880], [[[1, 1], [2, 6], [3, 1], [5, 2], [6, 1], [9, 1]], 37/20155392000], [[[1, 1], [2, 6], [3, 1], [5, 2], [6, 1], [14, 1]], 1/4838400], [[[1, 1], [2, 6], [3, 1], [5, 2], [6, 1], [18, 1]], 1/18662400], [[[1, 1], [2, 6], [3, 1], [5, 2], [6, 2], [8, 1]], 1/149299200], [[[1, 1], [2, 6], [3, 1], [5, 2], [6, 2], [10, 1]], 41/414720000], [[[1, 1], [2, 6], [3, 1], [5, 2], [6, 2], [12, 1]], 7/149299200], [[[1, 1], [2, 6], [3, 1], [5, 2], [8, 1], [10, 1]], 1/69120000], [[[1, 1], [2, 6], [3, 1], [5, 2], [10, 1], [12, 1]], 1/69120000], [[[1, 1], [2, 6], [3, 1], [6, 1], [8, 2], [9, 1]], 37/6449725440], [[[1, 1], [2, 6], [3, 1], [6, 1], [8, 2], [14, 1]], 1/1548288], [[[1, 1], [2, 6], [3, 1], [6, 1], [8, 2], [18, 1]], 1/5971968], [[[1, 1], [2, 6], [3, 1], [6, 1], [9, 1], [10, 2]], 31141/20155392000], [[[1, 1], [2, 6], [3, 1], [6, 1], [9, 1], [12, 2]], 37/9674588160], [[[1, 1], [2, 6], [3, 1], [6, 1], [9, 1], [15, 1]], 37/1007769600], [[[1, 1], [2, 6], [3, 1], [6, 1], [9, 1], [20, 1]], 37/671846400], [[[1, 1], [2, 6], [3, 1], [6, 1], [9, 1], [24, 1]], 37/806215680], [[[1, 1], [2, 6], [3, 1], [6, 1], [9, 1], [30, 1]], 37/1007769600], [[[1, 1], [2, 6], [3, 1], [6, 1], [10, 2], [14, 1]], 1/4838400], [[[1, 1], [2, 6], [3, 1], [6, 1], [10, 2], [18, 1]], 1/18662400], [[[1, 1], [2, 6], [3, 1], [6, 1], [12, 2], [14, 1]], 1/331776], [[[1, 1], [2, 6], [3, 1], [6, 1], [12, 2], [18, 1]], 7/8957952], [[[1, 1], [2, 6], [3, 1], [6, 1], [14, 1], [15, 1]], 1/241920], [[[1, 1], [2, 6], [3, 1], [6, 1], [14, 1], [20, 1]], 1/161280], [[[1, 1], [2, 6], [3, 1], [6, 1], [14, 1], [24, 1]], 1/193536], [[[1, 1], [2, 6], [3, 1], [6, 1], [14, 1], [30, 1]], 1/241920], [[[1, 1], [2, 6], [3, 1], [6, 1], [15, 1], [18, 1]], 1/933120], [[[1, 1], [2, 6], [3, 1], [6, 1], [18, 1], [20, 1]], 1/622080], [[[1, 1], [2, 6], [3, 1], [6, 1], [18, 1], [24, 1]], 1/746496], [[[1, 1], [2, 6], [3, 1], [6, 1], [18, 1], [30, 1]], 1/933120], [[[1, 1], [2, 6], [3, 1], [6, 2], [7, 1], [9, 1]], 1/7838208], [[[1, 1], [2, 6], [3, 1], [6, 2], [8, 1], [10, 2]], 217/149299200], [[[1, 1], [2, 6], [3, 1], [6, 2], [8, 1], [12, 2]], 19/71663616], [[[1, 1], [2, 6], [3, 1], [6, 2], [8, 1], [15, 1]], 1/7464960], [[[1, 1], [2, 6], [3, 1], [6, 2], [8, 1], [20, 1]], 1/4976640], [[[1, 1], [2, 6], [3, 1], [6, 2], [8, 1], [24, 1]], 1/5971968], [[[1, 1], [2, 6], [3, 1], [6, 2], [8, 1], [30, 1]], 1/7464960], [[[1, 1], [2, 6], [3, 1], [6, 2], [8, 2], [10, 1]], 41/132710400], [[[1, 1], [2, 6], [3, 1], [6, 2], [8, 2], [12, 1]], 7/47775744], [[[1, 1], [2, 6], [3, 1], [6, 2], [9, 1], [14, 1]], 1/979776], [[[1, 1], [2, 6], [3, 1], [6, 2], [9, 1], [18, 1]], 409/453496320], [[[1, 1], [2, 6], [3, 1], [6, 2], [10, 1], [12, 2]], 287/199065600], [[[1, 1], [2, 6], [3, 1], [6, 2], [10, 1], [15, 1]], 41/20736000], [[[1, 1], [2, 6], [3, 1], [6, 2], [10, 1], [20, 1]], 41/13824000], [[[1, 1], [2, 6], [3, 1], [6, 2], [10, 1], [24, 1]], 41/16588800], [[[1, 1], [2, 6], [3, 1], [6, 2], [10, 1], [30, 1]], 41/20736000], [[[1, 1], [2, 6], [3, 1], [6, 2], [10, 2], [12, 1]], 223/149299200], [[[1, 1], [2, 6], [3, 1], [6, 2], [12, 1], [15, 1]], 7/7464960], [[[1, 1], [2, 6], [3, 1], [6, 2], [12, 1], [20, 1]], 7/4976640], [[[1, 1], [2, 6], [3, 1], [6, 2], [12, 1], [24, 1]], 7/5971968], [[[1, 1], [2, 6], [3, 1], [6, 2], [12, 1], [30, 1]], 7/7464960], [[[1, 1], [2, 6], [3, 1], [6, 2], [14, 1], [18, 1]], 5/1741824], [[[1, 1], [2, 6], [3, 1], [6, 3], [8, 1], [9, 1]], 25/322486272], [[[1, 1], [2, 6], [3, 1], [6, 3], [8, 1], [14, 1]], 1/20901888], [[[1, 1], [2, 6], [3, 1], [6, 3], [8, 1], [18, 1]], 7/80621568], [[[1, 1], [2, 6], [3, 1], [6, 3], [9, 1], [10, 1]], 247/503884800], [[[1, 1], [2, 6], [3, 1], [6, 3], [9, 1], [12, 1]], 2437/9674588160], [[[1, 1], [2, 6], [3, 1], [6, 3], [10, 1], [14, 1]], 1/967680], [[[1, 1], [2, 6], [3, 1], [6, 3], [10, 1], [18, 1]], 17/12441600], [[[1, 1], [2, 6], [3, 1], [6, 3], [12, 1], [14, 1]], 19/20901888], [[[1, 1], [2, 6], [3, 1], [6, 3], [12, 1], [18, 1]], 61/80621568], [[[1, 1], [2, 6], [3, 1], [6, 4], [8, 1], [10, 1]], 401/17915904000], [[[1, 1], [2, 6], [3, 1], [6, 4], [8, 1], [12, 1]], 5/214990848], [[[1, 1], [2, 6], [3, 1], [6, 4], [10, 1], [12, 1]], 7691/17915904000], [[[1, 1], [2, 6], [3, 1], [7, 1], [9, 1], [10, 1]], 1/3628800], [[[1, 1], [2, 6], [3, 1], [8, 1], [9, 1], [14, 1]], 1/1161216], [[[1, 1], [2, 6], [3, 1], [8, 1], [9, 1], [18, 1]], 1/4478976], [[[1, 1], [2, 6], [3, 1], [8, 1], [10, 1], [12, 2]], 1/33177600], [[[1, 1], [2, 6], [3, 1], [8, 1], [10, 1], [15, 1]], 1/3456000], [[[1, 1], [2, 6], [3, 1], [8, 1], [10, 1], [20, 1]], 1/2304000], [[[1, 1], [2, 6], [3, 1], [8, 1], [10, 1], [24, 1]], 1/2764800], [[[1, 1], [2, 6], [3, 1], [8, 1], [10, 1], [30, 1]], 1/3456000], [[[1, 1], [2, 6], [3, 1], [8, 1], [14, 1], [18, 1]], 1/290304], [[[1, 1], [2, 6], [3, 1], [8, 2], [10, 1], [12, 1]], 1/22118400], [[[1, 1], [2, 6], [3, 1], [9, 1], [10, 1], [14, 1]], 1/302400], [[[1, 1], [2, 6], [3, 1], [9, 1], [10, 1], [18, 1]], 7/6998400], [[[1, 1], [2, 6], [3, 1], [10, 1], [12, 1], [15, 1]], 1/3456000], [[[1, 1], [2, 6], [3, 1], [10, 1], [12, 1], [20, 1]], 1/2304000], [[[1, 1], [2, 6], [3, 1], [10, 1], [12, 1], [24, 1]], 1/2764800], [[[1, 1], [2, 6], [3, 1], [10, 1], [12, 1], [30, 1]], 1/3456000], [[[1, 1], [2, 6], [3, 1], [12, 1], [14, 1], [18, 1]], 1/290304], [[[1, 1], [2, 6], [3, 2], [4, 1], [5, 1], [6, 4]], 1/214990848], [[[1, 1], [2, 6], [3, 2], [4, 1], [5, 2], [6, 2]], 161/31850496000], [[[1, 1], [2, 6], [3, 2], [4, 1], [5, 2], [12, 1]], 1/5308416000], [[[1, 1], [2, 6], [3, 2], [4, 1], [6, 2], [8, 2]], 1181/10192158720], [[[1, 1], [2, 6], [3, 2], [4, 1], [6, 2], [10, 2]], 8033/31850496000], [[[1, 1], [2, 6], [3, 2], [4, 1], [6, 2], [12, 2]], 12773/45864714240], [[[1, 1], [2, 6], [3, 2], [4, 1], [6, 2], [15, 1]], 161/1592524800], [[[1, 1], [2, 6], [3, 2], [4, 1], [6, 2], [20, 1]], 161/1061683200], [[[1, 1], [2, 6], [3, 2], [4, 1], [6, 2], [24, 1]], 233/1274019840], [[[1, 1], [2, 6], [3, 2], [4, 1], [6, 2], [30, 1]], 161/1592524800], [[[1, 1], [2, 6], [3, 2], [4, 1], [6, 3], [9, 1]], 25/483729408], [[[1, 1], [2, 6], [3, 2], [4, 1], [6, 3], [14, 1]], 1/18579456], [[[1, 1], [2, 6], [3, 2], [4, 1], [6, 3], [18, 1]], 67/955514880], [[[1, 1], [2, 6], [3, 2], [4, 1], [6, 4], [8, 1]], 85/3439853568], [[[1, 1], [2, 6], [3, 2], [4, 1], [6, 4], [10, 1]], 1/33592320], [[[1, 1], [2, 6], [3, 2], [4, 1], [6, 4], [12, 1]], 1505873/4127824281600], [[[1, 1], [2, 6], [3, 2], [4, 1], [8, 2], [12, 1]], 61/1698693120], [[[1, 1], [2, 6], [3, 2], [4, 1], [9, 1], [14, 1]], 1/1741824], [[[1, 1], [2, 6], [3, 2], [4, 1], [9, 1], [18, 1]], 1/6718464], [[[1, 1], [2, 6], [3, 2], [4, 1], [10, 1], [12, 2]], 1/16588800], [[[1, 1], [2, 6], [3, 2], [4, 1], [10, 2], [12, 1]], 193/5308416000], [[[1, 1], [2, 6], [3, 2], [4, 1], [12, 1], [15, 1]], 1/265420800], [[[1, 1], [2, 6], [3, 2], [4, 1], [12, 1], [20, 1]], 1/176947200], [[[1, 1], [2, 6], [3, 2], [4, 1], [12, 1], [24, 1]], 1/212336640], [[[1, 1], [2, 6], [3, 2], [4, 1], [12, 1], [30, 1]], 1/265420800], [[[1, 1], [2, 6], [3, 2], [4, 2], [5, 1], [9, 1]], 1/119439360], [[[1, 1], [2, 6], [3, 2], [4, 2], [5, 2], [6, 1]], 1/1194393600], [[[1, 1], [2, 6], [3, 2], [4, 2], [6, 1], [8, 2]], 163/382205952], [[[1, 1], [2, 6], [3, 2], [4, 2], [6, 1], [10, 2]], 1/1194393600], [[[1, 1], [2, 6], [3, 2], [4, 2], [6, 1], [12, 2]], 389/25798901760], [[[1, 1], [2, 6], [3, 2], [4, 2], [6, 1], [15, 1]], 1/59719680], [[[1, 1], [2, 6], [3, 2], [4, 2], [6, 1], [20, 1]], 1/39813120], [[[1, 1], [2, 6], [3, 2], [4, 2], [6, 1], [24, 1]], 1/47775744], [[[1, 1], [2, 6], [3, 2], [4, 2], [6, 1], [30, 1]], 1/59719680], [[[1, 1], [2, 6], [3, 2], [4, 2], [6, 2], [7, 1]], 65/1783627776], [[[1, 1], [2, 6], [3, 2], [4, 2], [6, 2], [9, 1]], 325/2293235712], [[[1, 1], [2, 6], [3, 2], [4, 2], [6, 2], [14, 1]], 167/891813888], [[[1, 1], [2, 6], [3, 2], [4, 2], [6, 2], [18, 1]], 11/143327232], [[[1, 1], [2, 6], [3, 2], [4, 2], [6, 3], [8, 1]], 35/1019215872], [[[1, 1], [2, 6], [3, 2], [4, 2], [6, 3], [10, 1]], 293/3185049600], [[[1, 1], [2, 6], [3, 2], [4, 2], [6, 3], [12, 1]], 2449/19349176320], [[[1, 1], [2, 6], [3, 2], [4, 2], [7, 1], [12, 1]], 1/297271296], [[[1, 1], [2, 6], [3, 2], [4, 2], [8, 1], [9, 1]], 13/95551488], [[[1, 1], [2, 6], [3, 2], [4, 2], [9, 1], [12, 1]], 5/382205952], [[[1, 1], [2, 6], [3, 2], [4, 2], [12, 1], [14, 1]], 1/21233664], [[[1, 1], [2, 6], [3, 2], [4, 2], [12, 1], [18, 1]], 1/71663616], [[[1, 1], [2, 6], [3, 2], [4, 3], [5, 1], [6, 2]], 13/509607936], [[[1, 1], [2, 6], [3, 2], [4, 3], [5, 1], [12, 1]], 1/424673280], [[[1, 1], [2, 6], [3, 2], [4, 3], [6, 1], [9, 1]], 5/143327232], [[[1, 1], [2, 6], [3, 2], [4, 3], [6, 1], [14, 1]], 1/37158912], [[[1, 1], [2, 6], [3, 2], [4, 3], [6, 1], [18, 1]], 1/143327232], [[[1, 1], [2, 6], [3, 2], [4, 3], [6, 2], [8, 1]], 919/8153726976], [[[1, 1], [2, 6], [3, 2], [4, 3], [6, 2], [10, 1]], 163/4246732800], [[[1, 1], [2, 6], [3, 2], [4, 3], [6, 2], [12, 1]], 3953/22932357120], [[[1, 1], [2, 6], [3, 2], [4, 3], [8, 1], [12, 1]], 23/1358954496], [[[1, 1], [2, 6], [3, 2], [4, 3], [10, 1], [12, 1]], 1/235929600], [[[1, 1], [2, 6], [3, 2], [4, 4], [6, 1], [8, 1]], 181/30576476160], [[[1, 1], [2, 6], [3, 2], [4, 4], [6, 1], [10, 1]], 7/47775744000], [[[1, 1], [2, 6], [3, 2], [4, 4], [6, 1], [12, 1]], 75187/8255648563200], [[[1, 1], [2, 6], [3, 2], [5, 1], [6, 2], [9, 1]], 1/16796160], [[[1, 1], [2, 6], [3, 2], [5, 1], [9, 1], [10, 1]], 1/7776000], [[[1, 1], [2, 6], [3, 2], [5, 2], [6, 1], [8, 1]], 1/398131200], [[[1, 1], [2, 6], [3, 2], [5, 2], [6, 1], [10, 1]], 7/622080000], [[[1, 1], [2, 6], [3, 2], [5, 2], [6, 1], [12, 1]], 37/107495424000], [[[1, 1], [2, 6], [3, 2], [6, 1], [7, 1], [14, 1]], 1/1354752], [[[1, 1], [2, 6], [3, 2], [6, 1], [7, 1], [18, 1]], 1/5225472], [[[1, 1], [2, 6], [3, 2], [6, 1], [8, 1], [10, 2]], 1/398131200], [[[1, 1], [2, 6], [3, 2], [6, 1], [8, 1], [12, 2]], 7/191102976], [[[1, 1], [2, 6], [3, 2], [6, 1], [8, 1], [15, 1]], 1/19906560], [[[1, 1], [2, 6], [3, 2], [6, 1], [8, 1], [20, 1]], 1/13271040], [[[1, 1], [2, 6], [3, 2], [6, 1], [8, 1], [24, 1]], 1/15925248], [[[1, 1], [2, 6], [3, 2], [6, 1], [8, 1], [30, 1]], 1/19906560], [[[1, 1], [2, 6], [3, 2], [6, 1], [8, 2], [10, 1]], 7/199065600], [[[1, 1], [2, 6], [3, 2], [6, 1], [8, 2], [12, 1]], 37/34398535680], [[[1, 1], [2, 6], [3, 2], [6, 1], [9, 1], [14, 1]], 5/1741824], [[[1, 1], [2, 6], [3, 2], [6, 1], [9, 1], [18, 1]], 5/6718464], [[[1, 1], [2, 6], [3, 2], [6, 1], [10, 1], [12, 2]], 49/298598400], [[[1, 1], [2, 6], [3, 2], [6, 1], [10, 1], [15, 1]], 7/31104000], [[[1, 1], [2, 6], [3, 2], [6, 1], [10, 1], [20, 1]], 7/20736000], [[[1, 1], [2, 6], [3, 2], [6, 1], [10, 1], [24, 1]], 7/24883200], [[[1, 1], [2, 6], [3, 2], [6, 1], [10, 1], [30, 1]], 7/31104000], [[[1, 1], [2, 6], [3, 2], [6, 1], [10, 2], [12, 1]], 31141/107495424000], [[[1, 1], [2, 6], [3, 2], [6, 1], [12, 1], [15, 1]], 37/5374771200], [[[1, 1], [2, 6], [3, 2], [6, 1], [12, 1], [20, 1]], 37/3583180800], [[[1, 1], [2, 6], [3, 2], [6, 1], [12, 1], [24, 1]], 37/4299816960], [[[1, 1], [2, 6], [3, 2], [6, 1], [12, 1], [30, 1]], 37/5374771200], [[[1, 1], [2, 6], [3, 2], [6, 1], [14, 1], [18, 1]], 1/653184], [[[1, 1], [2, 6], [3, 2], [6, 2], [7, 1], [10, 1]], 41/116121600], [[[1, 1], [2, 6], [3, 2], [6, 2], [7, 1], [12, 1]], 1/5971968], [[[1, 1], [2, 6], [3, 2], [6, 2], [8, 1], [9, 1]], 1/13436928], [[[1, 1], [2, 6], [3, 2], [6, 2], [8, 1], [14, 1]], 17/37158912], [[[1, 1], [2, 6], [3, 2], [6, 2], [8, 1], [18, 1]], 7/47775744], [[[1, 1], [2, 6], [3, 2], [6, 2], [9, 1], [10, 1]], 41/29859840], [[[1, 1], [2, 6], [3, 2], [6, 2], [9, 1], [12, 1]], 35/53747712], [[[1, 1], [2, 6], [3, 2], [6, 2], [10, 1], [14, 1]], 1/460800], [[[1, 1], [2, 6], [3, 2], [6, 2], [10, 1], [18, 1]], 13/14929920], [[[1, 1], [2, 6], [3, 2], [6, 2], [12, 1], [14, 1]], 1/746496], [[[1, 1], [2, 6], [3, 2], [6, 2], [12, 1], [18, 1]], 4237/9674588160], [[[1, 1], [2, 6], [3, 2], [6, 3], [8, 1], [10, 1]], 29/132710400], [[[1, 1], [2, 6], [3, 2], [6, 3], [8, 1], [12, 1]], 187/1719926784], [[[1, 1], [2, 6], [3, 2], [6, 3], [10, 1], [12, 1]], 1813/2687385600], [[[1, 1], [2, 6], [3, 2], [7, 1], [10, 1], [12, 1]], 1/19353600], [[[1, 1], [2, 6], [3, 2], [8, 1], [9, 1], [10, 1]], 1/6220800], [[[1, 1], [2, 6], [3, 2], [8, 1], [12, 1], [14, 1]], 1/6193152], [[[1, 1], [2, 6], [3, 2], [8, 1], [12, 1], [18, 1]], 1/23887872], [[[1, 1], [2, 6], [3, 2], [9, 1], [10, 1], [12, 1]], 1/4976640], [[[1, 1], [2, 6], [3, 2], [10, 1], [12, 1], [14, 1]], 1/1612800], [[[1, 1], [2, 6], [3, 2], [10, 1], [12, 1], [18, 1]], 7/37324800], [[[1, 1], [2, 6], [3, 3], [4, 1], [5, 2], [6, 1]], 1/597196800], [[[1, 1], [2, 6], [3, 3], [4, 1], [6, 1], [8, 2]], 19/191102976], [[[1, 1], [2, 6], [3, 3], [4, 1], [6, 1], [10, 2]], 1/597196800], [[[1, 1], [2, 6], [3, 3], [4, 1], [6, 1], [12, 2]], 7/286654464], [[[1, 1], [2, 6], [3, 3], [4, 1], [6, 1], [15, 1]], 1/29859840], [[[1, 1], [2, 6], [3, 3], [4, 1], [6, 1], [20, 1]], 1/19906560], [[[1, 1], [2, 6], [3, 3], [4, 1], [6, 1], [24, 1]], 1/23887872], [[[1, 1], [2, 6], [3, 3], [4, 1], [6, 1], [30, 1]], 1/29859840], [[[1, 1], [2, 6], [3, 3], [4, 1], [6, 2], [9, 1]], 161/2866544640], [[[1, 1], [2, 6], [3, 3], [4, 1], [6, 2], [14, 1]], 17/55738368], [[[1, 1], [2, 6], [3, 3], [4, 1], [6, 2], [18, 1]], 7/71663616], [[[1, 1], [2, 6], [3, 3], [4, 1], [6, 3], [8, 1]], 163/5159780352], [[[1, 1], [2, 6], [3, 3], [4, 1], [6, 3], [10, 1]], 1/4423680], [[[1, 1], [2, 6], [3, 3], [4, 1], [6, 3], [12, 1]], 187/2579890176], [[[1, 1], [2, 6], [3, 3], [4, 1], [8, 1], [14, 1]], 1/18579456], [[[1, 1], [2, 6], [3, 3], [4, 1], [8, 1], [18, 1]], 1/71663616], [[[1, 1], [2, 6], [3, 3], [4, 1], [9, 1], [12, 1]], 1/477757440], [[[1, 1], [2, 6], [3, 3], [4, 1], [12, 1], [14, 1]], 1/9289728], [[[1, 1], [2, 6], [3, 3], [4, 1], [12, 1], [18, 1]], 1/35831808], [[[1, 1], [2, 6], [3, 3], [4, 2], [5, 1], [6, 2]], 13/764411904], [[[1, 1], [2, 6], [3, 3], [4, 2], [5, 1], [12, 1]], 1/637009920], [[[1, 1], [2, 6], [3, 3], [4, 2], [6, 1], [9, 1]], 1/107495424], [[[1, 1], [2, 6], [3, 3], [4, 2], [6, 1], [14, 1]], 1/83607552], [[[1, 1], [2, 6], [3, 3], [4, 2], [6, 1], [18, 1]], 17/5159780352], [[[1, 1], [2, 6], [3, 3], [4, 2], [6, 2], [8, 1]], 269/3057647616], [[[1, 1], [2, 6], [3, 3], [4, 2], [6, 2], [10, 1]], 1/179159040], [[[1, 1], [2, 6], [3, 3], [4, 2], [6, 2], [12, 1]], 25195/247669456896], [[[1, 1], [2, 6], [3, 3], [4, 2], [8, 1], [12, 1]], 13/509607936], [[[1, 1], [2, 6], [3, 3], [4, 2], [10, 1], [12, 1]], 1/447897600], [[[1, 1], [2, 6], [3, 3], [4, 3], [6, 1], [8, 1]], 1/382205952], [[[1, 1], [2, 6], [3, 3], [4, 3], [6, 1], [12, 1]], 47/2293235712], [[[1, 1], [2, 6], [3, 3], [5, 1], [6, 1], [14, 1]], 1/2903040], [[[1, 1], [2, 6], [3, 3], [5, 1], [6, 1], [18, 1]], 1/11197440], [[[1, 1], [2, 6], [3, 3], [5, 1], [6, 2], [10, 1]], 41/248832000], [[[1, 1], [2, 6], [3, 3], [5, 1], [6, 2], [12, 1]], 7/89579520], [[[1, 1], [2, 6], [3, 3], [5, 1], [10, 1], [12, 1]], 1/41472000], [[[1, 1], [2, 6], [3, 3], [6, 1], [8, 1], [9, 1]], 1/35831808], [[[1, 1], [2, 6], [3, 3], [6, 1], [8, 1], [14, 1]], 1/2322432], [[[1, 1], [2, 6], [3, 3], [6, 1], [8, 1], [18, 1]], 1/8957952], [[[1, 1], [2, 6], [3, 3], [6, 1], [9, 1], [10, 1]], 7/55987200], [[[1, 1], [2, 6], [3, 3], [6, 1], [9, 1], [12, 1]], 37/9674588160], [[[1, 1], [2, 6], [3, 3], [6, 1], [10, 1], [14, 1]], 1/8709120], [[[1, 1], [2, 6], [3, 3], [6, 1], [10, 1], [18, 1]], 11/335923200], [[[1, 1], [2, 6], [3, 3], [6, 1], [12, 1], [14, 1]], 19/20901888], [[[1, 1], [2, 6], [3, 3], [6, 1], [12, 1], [18, 1]], 19/80621568], [[[1, 1], [2, 6], [3, 3], [6, 2], [8, 1], [10, 1]], 41/199065600], [[[1, 1], [2, 6], [3, 3], [6, 2], [8, 1], [12, 1]], 7/71663616], [[[1, 1], [2, 6], [3, 3], [6, 2], [10, 1], [12, 1]], 779/1791590400], [[[1, 1], [2, 6], [3, 3], [8, 1], [10, 1], [12, 1]], 1/33177600], [[[1, 1], [2, 6], [3, 4], [4, 1], [5, 1], [6, 2]], 271/32248627200], [[[1, 1], [2, 6], [3, 4], [4, 1], [5, 1], [10, 1]], 1/14929920000], [[[1, 1], [2, 6], [3, 4], [4, 1], [6, 1], [9, 1]], 1/53747712], [[[1, 1], [2, 6], [3, 4], [4, 1], [6, 1], [14, 1]], 1/1672151040], [[[1, 1], [2, 6], [3, 4], [4, 1], [6, 1], [18, 1]], 41/257989017600], [[[1, 1], [2, 6], [3, 4], [4, 1], [6, 2], [8, 1]], 4607/103195607040], [[[1, 1], [2, 6], [3, 4], [4, 1], [6, 2], [10, 1]], 7/806215680], [[[1, 1], [2, 6], [3, 4], [4, 1], [6, 2], [12, 1]], 305299/12383472844800], [[[1, 1], [2, 6], [3, 4], [4, 1], [8, 1], [10, 1]], 7/15925248000], [[[1, 1], [2, 6], [3, 4], [4, 1], [10, 1], [12, 1]], 1/8957952000], [[[1, 1], [2, 6], [3, 4], [4, 2], [6, 1], [8, 1]], 41/275188285440], [[[1, 1], [2, 6], [3, 4], [4, 2], [6, 1], [10, 1]], 79/859963392000], [[[1, 1], [2, 6], [3, 4], [4, 2], [6, 1], [12, 1]], 6161/3482851737600], [[[1, 1], [2, 6], [3, 4], [6, 1], [8, 1], [10, 1]], 7/35831808000], [[[1, 1], [2, 6], [3, 4], [6, 1], [8, 1], [12, 1]], 91/17199267840], [[[1, 1], [2, 6], [3, 4], [6, 1], [10, 1], [12, 1]], 637/26873856000], [[[1, 1], [2, 6], [3, 5], [4, 1], [6, 1], [8, 1]], 11/5733089280], [[[1, 1], [2, 6], [3, 5], [4, 1], [6, 1], [10, 1]], 7/53747712000], [[[1, 1], [2, 6], [3, 5], [4, 1], [6, 1], [12, 1]], 91/25798901760], [[[1, 1], [2, 6], [4, 1], [5, 1], [6, 2], [8, 2]], 1/39813120], [[[1, 1], [2, 6], [4, 1], [5, 1], [6, 2], [10, 2]], 217/124416000], [[[1, 1], [2, 6], [4, 1], [5, 1], [6, 2], [12, 2]], 19/59719680], [[[1, 1], [2, 6], [4, 1], [5, 1], [6, 2], [15, 1]], 1/6220800], [[[1, 1], [2, 6], [4, 1], [5, 1], [6, 2], [20, 1]], 1/4147200], [[[1, 1], [2, 6], [4, 1], [5, 1], [6, 2], [24, 1]], 1/4976640], [[[1, 1], [2, 6], [4, 1], [5, 1], [6, 2], [30, 1]], 1/6220800], [[[1, 1], [2, 6], [4, 1], [5, 1], [6, 3], [14, 1]], 1/17418240], [[[1, 1], [2, 6], [4, 1], [5, 1], [6, 3], [18, 1]], 7/67184640], [[[1, 1], [2, 6], [4, 1], [5, 1], [6, 4], [10, 1]], 401/14929920000], [[[1, 1], [2, 6], [4, 1], [5, 1], [6, 4], [12, 1]], 1/35831808], [[[1, 1], [2, 6], [4, 1], [5, 1], [8, 1], [10, 2]], 1/192000], [[[1, 1], [2, 6], [4, 1], [5, 1], [8, 2], [10, 1]], 1/18432000], [[[1, 1], [2, 6], [4, 1], [5, 1], [10, 1], [12, 2]], 1/27648000], [[[1, 1], [2, 6], [4, 1], [5, 1], [10, 1], [15, 1]], 1/2880000], [[[1, 1], [2, 6], [4, 1], [5, 1], [10, 1], [20, 1]], 1/1920000], [[[1, 1], [2, 6], [4, 1], [5, 1], [10, 1], [24, 1]], 1/2304000], [[[1, 1], [2, 6], [4, 1], [5, 1], [10, 1], [30, 1]], 1/2880000], [[[1, 1], [2, 6], [4, 1], [5, 1], [14, 1], [18, 1]], 1/241920], [[[1, 1], [2, 6], [4, 1], [5, 2], [6, 1], [14, 1]], 1/6451200], [[[1, 1], [2, 6], [4, 1], [5, 2], [6, 1], [18, 1]], 41/995328000], [[[1, 1], [2, 6], [4, 1], [5, 2], [6, 2], [8, 1]], 17/398131200], [[[1, 1], [2, 6], [4, 1], [5, 2], [6, 2], [10, 1]], 1/12441600], [[[1, 1], [2, 6], [4, 1], [5, 2], [6, 2], [12, 1]], 2089/47775744000], [[[1, 1], [2, 6], [4, 1], [5, 2], [8, 1], [10, 1]], 7/61440000], [[[1, 1], [2, 6], [4, 1], [5, 2], [10, 1], [12, 1]], 1/34560000], [[[1, 1], [2, 6], [4, 1], [6, 1], [8, 2], [14, 1]], 1/294912], [[[1, 1], [2, 6], [4, 1], [6, 1], [8, 2], [18, 1]], 341/318504960], [[[1, 1], [2, 6], [4, 1], [6, 1], [10, 2], [14, 1]], 7/921600], [[[1, 1], [2, 6], [4, 1], [6, 1], [10, 2], [18, 1]], 2153/995328000], [[[1, 1], [2, 6], [4, 1], [6, 1], [12, 2], [14, 1]], 17/3096576], [[[1, 1], [2, 6], [4, 1], [6, 1], [12, 2], [18, 1]], 227/159252480], [[[1, 1], [2, 6], [4, 1], [6, 1], [14, 1], [15, 1]], 1/322560], [[[1, 1], [2, 6], [4, 1], [6, 1], [14, 1], [20, 1]], 1/215040], [[[1, 1], [2, 6], [4, 1], [6, 1], [14, 1], [24, 1]], 1/258048], [[[1, 1], [2, 6], [4, 1], [6, 1], [14, 1], [30, 1]], 1/322560], [[[1, 1], [2, 6], [4, 1], [6, 1], [15, 1], [18, 1]], 41/49766400], [[[1, 1], [2, 6], [4, 1], [6, 1], [18, 1], [20, 1]], 41/33177600], [[[1, 1], [2, 6], [4, 1], [6, 1], [18, 1], [24, 1]], 41/39813120], [[[1, 1], [2, 6], [4, 1], [6, 1], [18, 1], [30, 1]], 41/49766400], [[[1, 1], [2, 6], [4, 1], [6, 2], [7, 1], [14, 1]], 1/290304], [[[1, 1], [2, 6], [4, 1], [6, 2], [8, 1], [10, 2]], 113/15925248], [[[1, 1], [2, 6], [4, 1], [6, 2], [8, 1], [12, 2]], 323/191102976], [[[1, 1], [2, 6], [4, 1], [6, 2], [8, 1], [15, 1]], 17/19906560], [[[1, 1], [2, 6], [4, 1], [6, 2], [8, 1], [16, 1]], 5/663552], [[[1, 1], [2, 6], [4, 1], [6, 2], [8, 1], [20, 1]], 49/13271040], [[[1, 1], [2, 6], [4, 1], [6, 2], [8, 1], [24, 1]], 1/196608], [[[1, 1], [2, 6], [4, 1], [6, 2], [8, 1], [30, 1]], 17/19906560], [[[1, 1], [2, 6], [4, 1], [6, 2], [8, 2], [10, 1]], 1/622080], [[[1, 1], [2, 6], [4, 1], [6, 2], [8, 2], [12, 1]], 11269/15288238080], [[[1, 1], [2, 6], [4, 1], [6, 2], [9, 1], [18, 1]], 1/373248], [[[1, 1], [2, 6], [4, 1], [6, 2], [10, 1], [12, 2]], 439/149299200], [[[1, 1], [2, 6], [4, 1], [6, 2], [10, 1], [15, 1]], 1/622080], [[[1, 1], [2, 6], [4, 1], [6, 2], [10, 1], [20, 1]], 1/414720], [[[1, 1], [2, 6], [4, 1], [6, 2], [10, 1], [24, 1]], 1/497664], [[[1, 1], [2, 6], [4, 1], [6, 2], [10, 1], [30, 1]], 1/622080], [[[1, 1], [2, 6], [4, 1], [6, 2], [10, 2], [12, 1]], 211177/47775744000], [[[1, 1], [2, 6], [4, 1], [6, 2], [12, 1], [15, 1]], 2089/2388787200], [[[1, 1], [2, 6], [4, 1], [6, 2], [12, 1], [16, 1]], 1/497664], [[[1, 1], [2, 6], [4, 1], [6, 2], [12, 1], [20, 1]], 4649/1592524800], [[[1, 1], [2, 6], [4, 1], [6, 2], [12, 1], [24, 1]], 5929/1911029760], [[[1, 1], [2, 6], [4, 1], [6, 2], [12, 1], [30, 1]], 2089/2388787200], [[[1, 1], [2, 6], [4, 1], [6, 2], [14, 1], [18, 1]], 1/580608], [[[1, 1], [2, 6], [4, 1], [6, 3], [7, 1], [8, 1]], 1/55738368], [[[1, 1], [2, 6], [4, 1], [6, 3], [8, 1], [9, 1]], 1/71663616], [[[1, 1], [2, 6], [4, 1], [6, 3], [8, 1], [14, 1]], 5/18579456], [[[1, 1], [2, 6], [4, 1], [6, 3], [8, 1], [18, 1]], 119/214990848], [[[1, 1], [2, 6], [4, 1], [6, 3], [10, 1], [14, 1]], 1/17418240], [[[1, 1], [2, 6], [4, 1], [6, 3], [10, 1], [18, 1]], 61/67184640], [[[1, 1], [2, 6], [4, 1], [6, 3], [12, 1], [14, 1]], 5/11943936], [[[1, 1], [2, 6], [4, 1], [6, 3], [12, 1], [18, 1]], 7667/12899450880], [[[1, 1], [2, 6], [4, 1], [6, 4], [8, 1], [10, 1]], 223/1769472000], [[[1, 1], [2, 6], [4, 1], [6, 4], [8, 1], [12, 1]], 85/573308928], [[[1, 1], [2, 6], [4, 1], [6, 4], [10, 1], [12, 1]], 667/2985984000], [[[1, 1], [2, 6], [4, 1], [7, 1], [8, 1], [14, 1]], 1/200704], [[[1, 1], [2, 6], [4, 1], [7, 1], [8, 1], [18, 1]], 1/774144], [[[1, 1], [2, 6], [4, 1], [7, 1], [10, 1], [14, 1]], 1/134400], [[[1, 1], [2, 6], [4, 1], [8, 1], [9, 1], [14, 1]], 1/258048], [[[1, 1], [2, 6], [4, 1], [8, 1], [9, 1], [18, 1]], 1/995328], [[[1, 1], [2, 6], [4, 1], [8, 1], [10, 1], [12, 2]], 7/29491200], [[[1, 1], [2, 6], [4, 1], [8, 1], [10, 1], [15, 1]], 7/3072000], [[[1, 1], [2, 6], [4, 1], [8, 1], [10, 1], [16, 1]], 1/61440], [[[1, 1], [2, 6], [4, 1], [8, 1], [10, 1], [20, 1]], 53/6144000], [[[1, 1], [2, 6], [4, 1], [8, 1], [10, 1], [24, 1]], 17/1474560], [[[1, 1], [2, 6], [4, 1], [8, 1], [10, 1], [30, 1]], 7/3072000], [[[1, 1], [2, 6], [4, 1], [8, 1], [14, 1], [18, 1]], 5/258048], [[[1, 1], [2, 6], [4, 1], [8, 2], [10, 1], [12, 1]], 1/11059200], [[[1, 1], [2, 6], [4, 1], [9, 1], [10, 1], [18, 1]], 1/172800], [[[1, 1], [2, 6], [4, 1], [10, 1], [12, 1], [15, 1]], 1/1728000], [[[1, 1], [2, 6], [4, 1], [10, 1], [12, 1], [16, 1]], 1/230400], [[[1, 1], [2, 6], [4, 1], [10, 1], [12, 1], [20, 1]], 1/230400], [[[1, 1], [2, 6], [4, 1], [10, 1], [12, 1], [24, 1]], 7/1382400], [[[1, 1], [2, 6], [4, 1], [10, 1], [12, 1], [30, 1]], 1/1728000], [[[1, 1], [2, 6], [4, 1], [10, 1], [14, 1], [18, 1]], 1/241920], [[[1, 1], [2, 6], [4, 1], [12, 1], [14, 1], [18, 1]], 1/145152], [[[1, 1], [2, 6], [4, 2], [5, 1], [6, 3], [8, 1]], 1/79626240], [[[1, 1], [2, 6], [4, 2], [5, 1], [8, 1], [14, 1]], 1/286720], [[[1, 1], [2, 6], [4, 2], [5, 1], [8, 1], [18, 1]], 1/1105920], [[[1, 1], [2, 6], [4, 2], [5, 2], [6, 1], [8, 1]], 41/1061683200], [[[1, 1], [2, 6], [4, 2], [5, 2], [6, 1], [10, 1]], 79/3317760000], [[[1, 1], [2, 6], [4, 2], [5, 2], [6, 1], [12, 1]], 43/6718464000], [[[1, 1], [2, 6], [4, 2], [6, 1], [7, 1], [14, 1]], 1/903168], [[[1, 1], [2, 6], [4, 2], [6, 1], [7, 1], [18, 1]], 17/55738368], [[[1, 1], [2, 6], [4, 2], [6, 1], [8, 1], [10, 2]], 1769/1061683200], [[[1, 1], [2, 6], [4, 2], [6, 1], [8, 1], [12, 2]], 227/169869312], [[[1, 1], [2, 6], [4, 2], [6, 1], [8, 1], [15, 1]], 41/53084160], [[[1, 1], [2, 6], [4, 2], [6, 1], [8, 1], [16, 1]], 37/159252480], [[[1, 1], [2, 6], [4, 2], [6, 1], [8, 1], [20, 1]], 41/35389440], [[[1, 1], [2, 6], [4, 2], [6, 1], [8, 1], [24, 1]], 41/42467328], [[[1, 1], [2, 6], [4, 2], [6, 1], [8, 1], [30, 1]], 41/53084160], [[[1, 1], [2, 6], [4, 2], [6, 1], [8, 2], [10, 1]], 6019/1061683200], [[[1, 1], [2, 6], [4, 2], [6, 1], [8, 2], [12, 1]], 11243/4299816960], [[[1, 1], [2, 6], [4, 2], [6, 1], [9, 1], [14, 1]], 1/1161216], [[[1, 1], [2, 6], [4, 2], [6, 1], [9, 1], [18, 1]], 17/71663616], [[[1, 1], [2, 6], [4, 2], [6, 1], [10, 1], [12, 2]], 13/21233664], [[[1, 1], [2, 6], [4, 2], [6, 1], [10, 1], [15, 1]], 79/165888000], [[[1, 1], [2, 6], [4, 2], [6, 1], [10, 1], [20, 1]], 79/110592000], [[[1, 1], [2, 6], [4, 2], [6, 1], [10, 1], [24, 1]], 79/132710400], [[[1, 1], [2, 6], [4, 2], [6, 1], [10, 1], [30, 1]], 79/165888000], [[[1, 1], [2, 6], [4, 2], [6, 1], [10, 2], [12, 1]], 7819/6718464000], [[[1, 1], [2, 6], [4, 2], [6, 1], [12, 1], [15, 1]], 43/335923200], [[[1, 1], [2, 6], [4, 2], [6, 1], [12, 1], [20, 1]], 77/111974400], [[[1, 1], [2, 6], [4, 2], [6, 1], [12, 1], [24, 1]], 197/537477120], [[[1, 1], [2, 6], [4, 2], [6, 1], [12, 1], [30, 1]], 43/335923200], [[[1, 1], [2, 6], [4, 2], [6, 1], [14, 1], [18, 1]], 47/27869184], [[[1, 1], [2, 6], [4, 2], [6, 2], [7, 1], [10, 1]], 1/1935360], [[[1, 1], [2, 6], [4, 2], [6, 2], [7, 1], [12, 1]], 841/2675441664], [[[1, 1], [2, 6], [4, 2], [6, 2], [8, 1], [14, 1]], 1/1548288], [[[1, 1], [2, 6], [4, 2], [6, 2], [8, 1], [18, 1]], 19/31850496], [[[1, 1], [2, 6], [4, 2], [6, 2], [9, 1], [10, 1]], 1/2488320], [[[1, 1], [2, 6], [4, 2], [6, 2], [9, 1], [12, 1]], 841/3439853568], [[[1, 1], [2, 6], [4, 2], [6, 2], [10, 1], [14, 1]], 1/645120], [[[1, 1], [2, 6], [4, 2], [6, 2], [10, 1], [18, 1]], 31/33177600], [[[1, 1], [2, 6], [4, 2], [6, 2], [12, 1], [14, 1]], 361/191102976], [[[1, 1], [2, 6], [4, 2], [6, 2], [12, 1], [18, 1]], 7003/9674588160], [[[1, 1], [2, 6], [4, 2], [6, 3], [8, 1], [10, 1]], 5/15925248], [[[1, 1], [2, 6], [4, 2], [6, 3], [8, 1], [12, 1]], 3923/13759414272], [[[1, 1], [2, 6], [4, 2], [6, 3], [10, 1], [12, 1]], 39541/42998169600], [[[1, 1], [2, 6], [4, 2], [7, 1], [10, 1], [12, 1]], 1/4838400], [[[1, 1], [2, 6], [4, 2], [8, 1], [10, 1], [14, 1]], 1/286720], [[[1, 1], [2, 6], [4, 2], [8, 1], [10, 1], [18, 1]], 1/1105920], [[[1, 1], [2, 6], [4, 2], [8, 1], [12, 1], [14, 1]], 5/774144], [[[1, 1], [2, 6], [4, 2], [8, 1], [12, 1], [18, 1]], 5/2985984], [[[1, 1], [2, 6], [4, 2], [9, 1], [10, 1], [12, 1]], 1/6220800], [[[1, 1], [2, 6], [4, 2], [10, 1], [12, 1], [14, 1]], 1/403200], [[[1, 1], [2, 6], [4, 2], [10, 1], [12, 1], [18, 1]], 7/9331200], [[[1, 1], [2, 6], [4, 3], [5, 1], [6, 1], [14, 1]], 1/1290240], [[[1, 1], [2, 6], [4, 3], [5, 1], [6, 1], [18, 1]], 17/79626240], [[[1, 1], [2, 6], [4, 3], [5, 1], [6, 2], [10, 1]], 1/2764800], [[[1, 1], [2, 6], [4, 3], [5, 1], [6, 2], [12, 1]], 841/3822059520], [[[1, 1], [2, 6], [4, 3], [5, 1], [8, 1], [10, 1]], 1/2949120], [[[1, 1], [2, 6], [4, 3], [5, 1], [10, 1], [12, 1]], 1/6912000], [[[1, 1], [2, 6], [4, 3], [6, 1], [7, 1], [8, 1]], 1/4128768], [[[1, 1], [2, 6], [4, 3], [6, 1], [8, 1], [9, 1]], 1/5308416], [[[1, 1], [2, 6], [4, 3], [6, 1], [8, 1], [14, 1]], 1/344064], [[[1, 1], [2, 6], [4, 3], [6, 1], [8, 1], [18, 1]], 247/254803968], [[[1, 1], [2, 6], [4, 3], [6, 1], [10, 1], [14, 1]], 1/860160], [[[1, 1], [2, 6], [4, 3], [6, 1], [10, 1], [18, 1]], 43/132710400], [[[1, 1], [2, 6], [4, 3], [6, 1], [12, 1], [14, 1]], 17/6193152], [[[1, 1], [2, 6], [4, 3], [6, 1], [12, 1], [18, 1]], 59/79626240], [[[1, 1], [2, 6], [4, 3], [6, 2], [8, 1], [10, 1]], 1/737280], [[[1, 1], [2, 6], [4, 3], [6, 2], [8, 1], [12, 1]], 18767/12230590464], [[[1, 1], [2, 6], [4, 3], [6, 2], [10, 1], [12, 1]], 28721/19110297600], [[[1, 1], [2, 6], [4, 3], [8, 1], [10, 1], [12, 1]], 1/491520], [[[1, 1], [2, 6], [4, 4], [5, 1], [6, 1], [8, 1]], 1/5898240], [[[1, 1], [2, 6], [4, 4], [6, 1], [8, 1], [10, 1]], 2707/10616832000], [[[1, 1], [2, 6], [4, 4], [6, 1], [8, 1], [12, 1]], 1087/1698693120], [[[1, 1], [2, 6], [4, 4], [6, 1], [10, 1], [12, 1]], 529/2654208000], [[[1, 1], [2, 6], [5, 2], [6, 1], [8, 1], [10, 1]], 7/138240000], [[[1, 1], [2, 6], [5, 2], [6, 1], [8, 1], [12, 1]], 1/66355200], [[[1, 1], [2, 6], [5, 2], [6, 1], [10, 1], [12, 1]], 7/103680000], [[[1, 1], [2, 6], [6, 1], [7, 1], [10, 1], [14, 1]], 1/94080], [[[1, 1], [2, 6], [6, 1], [7, 1], [10, 1], [18, 1]], 11/3628800], [[[1, 1], [2, 6], [6, 1], [7, 1], [12, 1], [14, 1]], 1/225792], [[[1, 1], [2, 6], [6, 1], [7, 1], [12, 1], [18, 1]], 1/870912], [[[1, 1], [2, 6], [6, 1], [8, 1], [10, 1], [12, 2]], 7/66355200], [[[1, 1], [2, 6], [6, 1], [8, 1], [10, 1], [15, 1]], 7/6912000], [[[1, 1], [2, 6], [6, 1], [8, 1], [10, 1], [20, 1]], 7/4608000], [[[1, 1], [2, 6], [6, 1], [8, 1], [10, 1], [24, 1]], 7/5529600], [[[1, 1], [2, 6], [6, 1], [8, 1], [10, 1], [30, 1]], 7/6912000], [[[1, 1], [2, 6], [6, 1], [8, 1], [10, 2], [12, 1]], 1/66355200], [[[1, 1], [2, 6], [6, 1], [8, 1], [12, 1], [15, 1]], 1/3317760], [[[1, 1], [2, 6], [6, 1], [8, 1], [12, 1], [20, 1]], 1/2211840], [[[1, 1], [2, 6], [6, 1], [8, 1], [12, 1], [24, 1]], 1/2654208], [[[1, 1], [2, 6], [6, 1], [8, 1], [12, 1], [30, 1]], 1/3317760], [[[1, 1], [2, 6], [6, 1], [8, 1], [14, 1], [18, 1]], 5/1161216], [[[1, 1], [2, 6], [6, 1], [8, 2], [10, 1], [12, 1]], 7/33177600], [[[1, 1], [2, 6], [6, 1], [9, 1], [10, 1], [14, 1]], 1/120960], [[[1, 1], [2, 6], [6, 1], [9, 1], [10, 1], [18, 1]], 11/4665600], [[[1, 1], [2, 6], [6, 1], [9, 1], [12, 1], [14, 1]], 1/290304], [[[1, 1], [2, 6], [6, 1], [9, 1], [12, 1], [18, 1]], 1/1119744], [[[1, 1], [2, 6], [6, 1], [10, 1], [12, 1], [15, 1]], 7/5184000], [[[1, 1], [2, 6], [6, 1], [10, 1], [12, 1], [20, 1]], 7/3456000], [[[1, 1], [2, 6], [6, 1], [10, 1], [12, 1], [24, 1]], 7/4147200], [[[1, 1], [2, 6], [6, 1], [10, 1], [12, 1], [30, 1]], 7/5184000], [[[1, 1], [2, 6], [6, 1], [10, 1], [14, 1], [18, 1]], 1/50400], [[[1, 1], [2, 6], [6, 1], [12, 1], [14, 1], [18, 1]], 1/108864], [[[1, 1], [2, 6], [6, 2], [7, 1], [10, 1], [12, 1]], 41/19353600], [[[1, 1], [2, 6], [6, 2], [8, 1], [10, 1], [14, 1]], 1/161280], [[[1, 1], [2, 6], [6, 2], [8, 1], [10, 1], [18, 1]], 1/460800], [[[1, 1], [2, 6], [6, 2], [8, 1], [12, 1], [14, 1]], 17/6193152], [[[1, 1], [2, 6], [6, 2], [8, 1], [12, 1], [18, 1]], 7/7962624], [[[1, 1], [2, 6], [6, 2], [9, 1], [10, 1], [12, 1]], 41/24883200], [[[1, 1], [2, 6], [6, 2], [10, 1], [12, 1], [14, 1]], 1/76800], [[[1, 1], [2, 6], [6, 2], [10, 1], [12, 1], [18, 1]], 13/2488320], [[[1, 1], [2, 6], [6, 3], [8, 1], [10, 1], [12, 1]], 29/22118400], [[[1, 1], [2, 8], [3, 1], [4, 1], [5, 2], [6, 2]], 1/1679616000], [[[1, 1], [2, 8], [3, 1], [4, 1], [5, 2], [10, 1]], 1/829440000], [[[1, 1], [2, 8], [3, 1], [4, 1], [6, 2], [8, 2]], 143/4299816960], [[[1, 1], [2, 8], [3, 1], [4, 1], [6, 2], [10, 2]], 731/3359232000], [[[1, 1], [2, 8], [3, 1], [4, 1], [6, 2], [12, 2]], 161/6449725440], [[[1, 1], [2, 8], [3, 1], [4, 1], [6, 2], [15, 1]], 1/83980800], [[[1, 1], [2, 8], [3, 1], [4, 1], [6, 2], [16, 1]], 1/59719680], [[[1, 1], [2, 8], [3, 1], [4, 1], [6, 2], [20, 1]], 1/55987200], [[[1, 1], [2, 8], [3, 1], [4, 1], [6, 2], [24, 1]], 17/537477120], [[[1, 1], [2, 8], [3, 1], [4, 1], [6, 2], [30, 1]], 1/83980800], [[[1, 1], [2, 8], [3, 1], [4, 1], [6, 3], [9, 1]], 241/12899450880], [[[1, 1], [2, 8], [3, 1], [4, 1], [6, 3], [14, 1]], 25/250822656], [[[1, 1], [2, 8], [3, 1], [4, 1], [6, 3], [18, 1]], 157/4837294080], [[[1, 1], [2, 8], [3, 1], [4, 1], [6, 4], [8, 1]], 5/573308928], [[[1, 1], [2, 8], [3, 1], [4, 1], [6, 4], [10, 1]], 1129/23887872000], [[[1, 1], [2, 8], [3, 1], [4, 1], [6, 4], [12, 1]], 133/6449725440], [[[1, 1], [2, 8], [3, 1], [4, 1], [8, 2], [10, 1]], 19/265420800], [[[1, 1], [2, 8], [3, 1], [4, 1], [9, 1], [14, 1]], 1/46448640], [[[1, 1], [2, 8], [3, 1], [4, 1], [9, 1], [18, 1]], 1/179159040], [[[1, 1], [2, 8], [3, 1], [4, 1], [10, 1], [12, 2]], 1/398131200], [[[1, 1], [2, 8], [3, 1], [4, 1], [10, 1], [15, 1]], 1/41472000], [[[1, 1], [2, 8], [3, 1], [4, 1], [10, 1], [20, 1]], 1/27648000], [[[1, 1], [2, 8], [3, 1], [4, 1], [10, 1], [24, 1]], 1/33177600], [[[1, 1], [2, 8], [3, 1], [4, 1], [10, 1], [30, 1]], 1/41472000], [[[1, 1], [2, 8], [3, 1], [4, 1], [14, 1], [18, 1]], 1/3483648], [[[1, 1], [2, 8], [3, 1], [4, 2], [5, 1], [6, 3]], 97/17199267840], [[[1, 1], [2, 8], [3, 1], [4, 2], [5, 1], [14, 1]], 1/61931520], [[[1, 1], [2, 8], [3, 1], [4, 2], [5, 1], [18, 1]], 1/238878720], [[[1, 1], [2, 8], [3, 1], [4, 2], [5, 2], [6, 1]], 1/3185049600], [[[1, 1], [2, 8], [3, 1], [4, 2], [6, 1], [8, 2]], 109/1019215872], [[[1, 1], [2, 8], [3, 1], [4, 2], [6, 1], [10, 2]], 1/3185049600], [[[1, 1], [2, 8], [3, 1], [4, 2], [6, 1], [12, 2]], 347/68797071360], [[[1, 1], [2, 8], [3, 1], [4, 2], [6, 1], [15, 1]], 1/159252480], [[[1, 1], [2, 8], [3, 1], [4, 2], [6, 1], [20, 1]], 1/106168320], [[[1, 1], [2, 8], [3, 1], [4, 2], [6, 1], [24, 1]], 1/127401984], [[[1, 1], [2, 8], [3, 1], [4, 2], [6, 1], [30, 1]], 1/159252480], [[[1, 1], [2, 8], [3, 1], [4, 2], [6, 2], [9, 1]], 433/77396705280], [[[1, 1], [2, 8], [3, 1], [4, 2], [6, 2], [14, 1]], 65/297271296], [[[1, 1], [2, 8], [3, 1], [4, 2], [6, 2], [18, 1]], 23/382205952], [[[1, 1], [2, 8], [3, 1], [4, 2], [6, 3], [8, 1]], 397/13759414272], [[[1, 1], [2, 8], [3, 1], [4, 2], [6, 3], [10, 1]], 37/353894400], [[[1, 1], [2, 8], [3, 1], [4, 2], [6, 3], [12, 1]], 14221/206391214080], [[[1, 1], [2, 8], [3, 1], [4, 2], [8, 1], [9, 1]], 23/3822059520], [[[1, 1], [2, 8], [3, 1], [4, 2], [8, 1], [14, 1]], 13/49545216], [[[1, 1], [2, 8], [3, 1], [4, 2], [8, 1], [18, 1]], 13/191102976], [[[1, 1], [2, 8], [3, 1], [4, 2], [9, 1], [10, 1]], 23/2388787200], [[[1, 1], [2, 8], [3, 1], [4, 2], [9, 1], [12, 1]], 121/5417769369600], [[[1, 1], [2, 8], [3, 1], [4, 2], [12, 1], [14, 1]], 1/49545216], [[[1, 1], [2, 8], [3, 1], [4, 2], [12, 1], [18, 1]], 1/191102976], [[[1, 1], [2, 8], [3, 1], [4, 3], [5, 1], [8, 1]], 1/283115520], [[[1, 1], [2, 8], [3, 1], [4, 3], [6, 1], [9, 1]], 191/51597803520], [[[1, 1], [2, 8], [3, 1], [4, 3], [6, 1], [14, 1]], 5/74317824], [[[1, 1], [2, 8], [3, 1], [4, 3], [6, 1], [18, 1]], 7/382205952], [[[1, 1], [2, 8], [3, 1], [4, 3], [6, 2], [8, 1]], 9031/183458856960], [[[1, 1], [2, 8], [3, 1], [4, 3], [6, 2], [10, 1]], 11/265420800], [[[1, 1], [2, 8], [3, 1], [4, 3], [6, 2], [12, 1]], 19639/825564856320], [[[1, 1], [2, 8], [3, 1], [4, 3], [8, 1], [12, 1]], 1/226492416], [[[1, 1], [2, 8], [3, 1], [4, 3], [10, 1], [12, 1]], 1/99532800], [[[1, 1], [2, 8], [3, 1], [4, 4], [5, 1], [6, 1]], 1351/1719926784000], [[[1, 1], [2, 8], [3, 1], [4, 4], [6, 1], [8, 1]], 21601/1375941427200], [[[1, 1], [2, 8], [3, 1], [4, 4], [6, 1], [10, 1]], 1/15925248000], [[[1, 1], [2, 8], [3, 1], [4, 4], [6, 1], [12, 1]], 4951/1375941427200], [[[1, 1], [2, 8], [3, 1], [5, 1], [6, 1], [8, 2]], 1/7166361600], [[[1, 1], [2, 8], [3, 1], [5, 1], [6, 1], [10, 2]], 2593/22394880000], [[[1, 1], [2, 8], [3, 1], [5, 1], [6, 1], [12, 2]], 1/10749542400], [[[1, 1], [2, 8], [3, 1], [5, 1], [6, 1], [15, 1]], 1/1119744000], [[[1, 1], [2, 8], [3, 1], [5, 1], [6, 1], [20, 1]], 1/746496000], [[[1, 1], [2, 8], [3, 1], [5, 1], [6, 1], [24, 1]], 1/895795200], [[[1, 1], [2, 8], [3, 1], [5, 1], [6, 1], [30, 1]], 1/1119744000], [[[1, 1], [2, 8], [3, 1], [5, 1], [6, 2], [14, 1]], 1/8709120], [[[1, 1], [2, 8], [3, 1], [5, 1], [6, 2], [18, 1]], 61/2015539200], [[[1, 1], [2, 8], [3, 1], [5, 1], [6, 3], [10, 1]], 61/1119744000], [[[1, 1], [2, 8], [3, 1], [5, 1], [6, 3], [12, 1]], 241/10749542400], [[[1, 1], [2, 8], [3, 1], [5, 1], [10, 1], [14, 1]], 1/4032000], [[[1, 1], [2, 8], [3, 1], [5, 1], [10, 1], [18, 1]], 1/15552000], [[[1, 1], [2, 8], [3, 1], [5, 2], [6, 1], [8, 1]], 1/17915904000], [[[1, 1], [2, 8], [3, 1], [5, 2], [6, 1], [10, 1]], 1/207360000], [[[1, 1], [2, 8], [3, 1], [5, 2], [6, 1], [12, 1]], 1/17915904000], [[[1, 1], [2, 8], [3, 1], [6, 1], [7, 1], [9, 1]], 1/940584960], [[[1, 1], [2, 8], [3, 1], [6, 1], [8, 1], [10, 2]], 2593/17915904000], [[[1, 1], [2, 8], [3, 1], [6, 1], [8, 1], [12, 2]], 1/8599633920], [[[1, 1], [2, 8], [3, 1], [6, 1], [8, 1], [15, 1]], 1/895795200], [[[1, 1], [2, 8], [3, 1], [6, 1], [8, 1], [20, 1]], 1/597196800], [[[1, 1], [2, 8], [3, 1], [6, 1], [8, 1], [24, 1]], 1/716636160], [[[1, 1], [2, 8], [3, 1], [6, 1], [8, 1], [30, 1]], 1/895795200], [[[1, 1], [2, 8], [3, 1], [6, 1], [8, 2], [10, 1]], 1/66355200], [[[1, 1], [2, 8], [3, 1], [6, 1], [8, 2], [12, 1]], 1/5733089280], [[[1, 1], [2, 8], [3, 1], [6, 1], [9, 1], [14, 1]], 19/470292480], [[[1, 1], [2, 8], [3, 1], [6, 1], [9, 1], [18, 1]], 1721/145118822400], [[[1, 1], [2, 8], [3, 1], [6, 1], [10, 1], [12, 2]], 7/99532800], [[[1, 1], [2, 8], [3, 1], [6, 1], [10, 1], [15, 1]], 1/10368000], [[[1, 1], [2, 8], [3, 1], [6, 1], [10, 1], [20, 1]], 1/6912000], [[[1, 1], [2, 8], [3, 1], [6, 1], [10, 1], [24, 1]], 1/8294400], [[[1, 1], [2, 8], [3, 1], [6, 1], [10, 1], [30, 1]], 1/10368000], [[[1, 1], [2, 8], [3, 1], [6, 1], [10, 2], [12, 1]], 2593/17915904000], [[[1, 1], [2, 8], [3, 1], [6, 1], [12, 1], [15, 1]], 1/895795200], [[[1, 1], [2, 8], [3, 1], [6, 1], [12, 1], [20, 1]], 1/597196800], [[[1, 1], [2, 8], [3, 1], [6, 1], [12, 1], [24, 1]], 1/716636160], [[[1, 1], [2, 8], [3, 1], [6, 1], [12, 1], [30, 1]], 1/895795200], [[[1, 1], [2, 8], [3, 1], [6, 1], [14, 1], [18, 1]], 1/870912], [[[1, 1], [2, 8], [3, 1], [6, 2], [8, 1], [9, 1]], 1/100776960], [[[1, 1], [2, 8], [3, 1], [6, 2], [8, 1], [14, 1]], 1/6967296], [[[1, 1], [2, 8], [3, 1], [6, 2], [8, 1], [18, 1]], 61/1612431360], [[[1, 1], [2, 8], [3, 1], [6, 2], [9, 1], [10, 1]], 7/100776960], [[[1, 1], [2, 8], [3, 1], [6, 2], [9, 1], [12, 1]], 179321/21671077478400], [[[1, 1], [2, 8], [3, 1], [6, 2], [10, 1], [14, 1]], 41/19353600], [[[1, 1], [2, 8], [3, 1], [6, 2], [10, 1], [18, 1]], 1/1658880], [[[1, 1], [2, 8], [3, 1], [6, 2], [12, 1], [14, 1]], 1/995328], [[[1, 1], [2, 8], [3, 1], [6, 2], [12, 1], [18, 1]], 421/1612431360], [[[1, 1], [2, 8], [3, 1], [6, 3], [8, 1], [10, 1]], 61/895795200], [[[1, 1], [2, 8], [3, 1], [6, 3], [8, 1], [12, 1]], 241/8599633920], [[[1, 1], [2, 8], [3, 1], [6, 3], [10, 1], [12, 1]], 439/895795200], [[[1, 1], [2, 8], [3, 1], [8, 1], [9, 1], [10, 1]], 1/49766400], [[[1, 1], [2, 8], [3, 1], [8, 1], [10, 1], [14, 1]], 1/3225600], [[[1, 1], [2, 8], [3, 1], [8, 1], [10, 1], [18, 1]], 1/12441600], [[[1, 1], [2, 8], [3, 1], [10, 1], [12, 1], [14, 1]], 1/3225600], [[[1, 1], [2, 8], [3, 1], [10, 1], [12, 1], [18, 1]], 1/12441600], [[[1, 1], [2, 8], [3, 2], [4, 1], [5, 1], [6, 3]], 241/42998169600], [[[1, 1], [2, 8], [3, 2], [4, 1], [5, 2], [6, 1]], 1/15925248000], [[[1, 1], [2, 8], [3, 2], [4, 1], [6, 1], [8, 2]], 61/5096079360], [[[1, 1], [2, 8], [3, 2], [4, 1], [6, 1], [10, 2]], 193/15925248000], [[[1, 1], [2, 8], [3, 2], [4, 1], [6, 1], [12, 2]], 79/68797071360], [[[1, 1], [2, 8], [3, 2], [4, 1], [6, 1], [15, 1]], 1/796262400], [[[1, 1], [2, 8], [3, 2], [4, 1], [6, 1], [20, 1]], 1/530841600], [[[1, 1], [2, 8], [3, 2], [4, 1], [6, 1], [24, 1]], 1/637009920], [[[1, 1], [2, 8], [3, 2], [4, 1], [6, 1], [30, 1]], 1/796262400], [[[1, 1], [2, 8], [3, 2], [4, 1], [6, 2], [9, 1]], 1/151165440], [[[1, 1], [2, 8], [3, 2], [4, 1], [6, 2], [14, 1]], 23/212336640], [[[1, 1], [2, 8], [3, 2], [4, 1], [6, 2], [18, 1]], 11/382205952], [[[1, 1], [2, 8], [3, 2], [4, 1], [6, 3], [8, 1]], 4847/137594142720], [[[1, 1], [2, 8], [3, 2], [4, 1], [6, 3], [10, 1]], 4937/85996339200], [[[1, 1], [2, 8], [3, 2], [4, 1], [6, 3], [12, 1]], 7601/206391214080], [[[1, 1], [2, 8], [3, 2], [4, 1], [9, 1], [10, 1]], 1/74649600], [[[1, 1], [2, 8], [3, 2], [4, 1], [12, 1], [14, 1]], 1/247726080], [[[1, 1], [2, 8], [3, 2], [4, 1], [12, 1], [18, 1]], 1/955514880], [[[1, 1], [2, 8], [3, 2], [4, 2], [6, 1], [7, 1]], 1/891813888], [[[1, 1], [2, 8], [3, 2], [4, 2], [6, 1], [9, 1]], 5/1146617856], [[[1, 1], [2, 8], [3, 2], [4, 2], [6, 1], [14, 1]], 17/891813888], [[[1, 1], [2, 8], [3, 2], [4, 2], [6, 1], [18, 1]], 19/3439853568], [[[1, 1], [2, 8], [3, 2], [4, 2], [6, 2], [8, 1]], 367/13589544960], [[[1, 1], [2, 8], [3, 2], [4, 2], [6, 2], [10, 1]], 533/25480396800], [[[1, 1], [2, 8], [3, 2], [4, 2], [6, 2], [12, 1]], 1088093/173368619827200], [[[1, 1], [2, 8], [3, 2], [4, 2], [8, 1], [12, 1]], 23/20384317440], [[[1, 1], [2, 8], [3, 2], [4, 2], [10, 1], [12, 1]], 23/12740198400], [[[1, 1], [2, 8], [3, 2], [4, 3], [5, 1], [6, 1]], 1/1274019840], [[[1, 1], [2, 8], [3, 2], [4, 3], [6, 1], [8, 1]], 13/2038431744], [[[1, 1], [2, 8], [3, 2], [4, 3], [6, 1], [10, 1]], 1/707788800], [[[1, 1], [2, 8], [3, 2], [4, 3], [6, 1], [12, 1]], 139/55037657088], [[[1, 1], [2, 8], [3, 2], [5, 1], [6, 1], [9, 1]], 1/2015539200], [[[1, 1], [2, 8], [3, 2], [6, 1], [7, 1], [10, 1]], 1/58060800], [[[1, 1], [2, 8], [3, 2], [6, 1], [7, 1], [12, 1]], 1/5016453120], [[[1, 1], [2, 8], [3, 2], [6, 1], [8, 1], [9, 1]], 1/1612431360], [[[1, 1], [2, 8], [3, 2], [6, 1], [8, 1], [14, 1]], 1/18579456], [[[1, 1], [2, 8], [3, 2], [6, 1], [8, 1], [18, 1]], 1/71663616], [[[1, 1], [2, 8], [3, 2], [6, 1], [9, 1], [10, 1]], 1/14929920], [[[1, 1], [2, 8], [3, 2], [6, 1], [9, 1], [12, 1]], 1/1289945088], [[[1, 1], [2, 8], [3, 2], [6, 1], [10, 1], [14, 1]], 1/3870720], [[[1, 1], [2, 8], [3, 2], [6, 1], [10, 1], [18, 1]], 17/223948800], [[[1, 1], [2, 8], [3, 2], [6, 1], [12, 1], [14, 1]], 19/2508226560], [[[1, 1], [2, 8], [3, 2], [6, 1], [12, 1], [18, 1]], 44921/21671077478400], [[[1, 1], [2, 8], [3, 2], [6, 2], [8, 1], [10, 1]], 19/530841600], [[[1, 1], [2, 8], [3, 2], [6, 2], [8, 1], [12, 1]], 53/4299816960], [[[1, 1], [2, 8], [3, 2], [6, 2], [10, 1], [12, 1]], 47/671846400], [[[1, 1], [2, 8], [3, 2], [8, 1], [10, 1], [12, 1]], 1/265420800], [[[1, 1], [2, 8], [3, 3], [4, 1], [6, 1], [9, 1]], 1/1433272320], [[[1, 1], [2, 8], [3, 3], [4, 1], [6, 1], [14, 1]], 1/27869184], [[[1, 1], [2, 8], [3, 3], [4, 1], [6, 1], [18, 1]], 1/107495424], [[[1, 1], [2, 8], [3, 3], [4, 1], [6, 2], [8, 1]], 55/1719926784], [[[1, 1], [2, 8], [3, 3], [4, 1], [6, 2], [10, 1]], 19/796262400], [[[1, 1], [2, 8], [3, 3], [4, 1], [6, 2], [12, 1]], 53/6449725440], [[[1, 1], [2, 8], [3, 3], [4, 1], [8, 1], [10, 1]], 1/796262400], [[[1, 1], [2, 8], [3, 3], [4, 1], [10, 1], [12, 1]], 1/398131200], [[[1, 1], [2, 8], [3, 3], [4, 2], [5, 1], [6, 1]], 1/1911029760], [[[1, 1], [2, 8], [3, 3], [4, 2], [6, 1], [8, 1]], 13/1528823808], [[[1, 1], [2, 8], [3, 3], [4, 2], [6, 1], [10, 1]], 13/28665446400], [[[1, 1], [2, 8], [3, 3], [4, 2], [6, 1], [12, 1]], 2581/1857520926720], [[[1, 1], [2, 8], [3, 3], [5, 1], [6, 1], [10, 1]], 1/124416000], [[[1, 1], [2, 8], [3, 3], [5, 1], [6, 1], [12, 1]], 1/10749542400], [[[1, 1], [2, 8], [3, 3], [6, 1], [8, 1], [10, 1]], 1/99532800], [[[1, 1], [2, 8], [3, 3], [6, 1], [8, 1], [12, 1]], 1/8599633920], [[[1, 1], [2, 8], [3, 3], [6, 1], [10, 1], [12, 1]], 19/895795200], [[[1, 1], [2, 8], [3, 4], [4, 1], [5, 1], [6, 1]], 1/3869835264000], [[[1, 1], [2, 8], [3, 4], [4, 1], [6, 1], [8, 1]], 47/12383472844800], [[[1, 1], [2, 8], [3, 4], [4, 1], [6, 1], [10, 1]], 137/7739670528000], [[[1, 1], [2, 8], [3, 4], [4, 1], [6, 1], [12, 1]], 493/3715041853440], [[[1, 1], [2, 8], [4, 1], [5, 1], [6, 1], [8, 2]], 1/4777574400], [[[1, 1], [2, 8], [4, 1], [5, 1], [6, 1], [10, 2]], 2593/14929920000], [[[1, 1], [2, 8], [4, 1], [5, 1], [6, 1], [12, 2]], 1/7166361600], [[[1, 1], [2, 8], [4, 1], [5, 1], [6, 1], [15, 1]], 1/746496000], [[[1, 1], [2, 8], [4, 1], [5, 1], [6, 1], [20, 1]], 1/497664000], [[[1, 1], [2, 8], [4, 1], [5, 1], [6, 1], [24, 1]], 1/597196800], [[[1, 1], [2, 8], [4, 1], [5, 1], [6, 1], [30, 1]], 1/746496000], [[[1, 1], [2, 8], [4, 1], [5, 1], [6, 2], [14, 1]], 1/5806080], [[[1, 1], [2, 8], [4, 1], [5, 1], [6, 2], [18, 1]], 61/1343692800], [[[1, 1], [2, 8], [4, 1], [5, 1], [6, 3], [10, 1]], 61/746496000], [[[1, 1], [2, 8], [4, 1], [5, 1], [6, 3], [12, 1]], 241/7166361600], [[[1, 1], [2, 8], [4, 1], [5, 1], [10, 1], [14, 1]], 1/2688000], [[[1, 1], [2, 8], [4, 1], [5, 1], [10, 1], [18, 1]], 1/10368000], [[[1, 1], [2, 8], [4, 1], [5, 2], [6, 1], [8, 1]], 47/47775744000], [[[1, 1], [2, 8], [4, 1], [5, 2], [6, 1], [10, 1]], 137/29859840000], [[[1, 1], [2, 8], [4, 1], [5, 2], [6, 1], [12, 1]], 7/14332723200], [[[1, 1], [2, 8], [4, 1], [6, 1], [7, 1], [14, 1]], 1/34836480], [[[1, 1], [2, 8], [4, 1], [6, 1], [8, 1], [10, 2]], 57071/47775744000], [[[1, 1], [2, 8], [4, 1], [6, 1], [8, 1], [12, 2]], 47/22932357120], [[[1, 1], [2, 8], [4, 1], [6, 1], [8, 1], [15, 1]], 47/2388787200], [[[1, 1], [2, 8], [4, 1], [6, 1], [8, 1], [16, 1]], 1/15925248], [[[1, 1], [2, 8], [4, 1], [6, 1], [8, 1], [20, 1]], 79/1592524800], [[[1, 1], [2, 8], [4, 1], [6, 1], [8, 1], [24, 1]], 37/637009920], [[[1, 1], [2, 8], [4, 1], [6, 1], [8, 1], [30, 1]], 47/2388787200], [[[1, 1], [2, 8], [4, 1], [6, 1], [8, 2], [10, 1]], 481/1911029760], [[[1, 1], [2, 8], [4, 1], [6, 1], [8, 2], [12, 1]], 331/4586471424], [[[1, 1], [2, 8], [4, 1], [6, 1], [9, 1], [18, 1]], 1/44789760], [[[1, 1], [2, 8], [4, 1], [6, 1], [10, 1], [12, 2]], 373/2866544640], [[[1, 1], [2, 8], [4, 1], [6, 1], [10, 1], [15, 1]], 137/1492992000], [[[1, 1], [2, 8], [4, 1], [6, 1], [10, 1], [20, 1]], 137/995328000], [[[1, 1], [2, 8], [4, 1], [6, 1], [10, 1], [24, 1]], 137/1194393600], [[[1, 1], [2, 8], [4, 1], [6, 1], [10, 1], [30, 1]], 137/1492992000], [[[1, 1], [2, 8], [4, 1], [6, 1], [10, 2], [12, 1]], 5191/14332723200], [[[1, 1], [2, 8], [4, 1], [6, 1], [12, 1], [15, 1]], 7/716636160], [[[1, 1], [2, 8], [4, 1], [6, 1], [12, 1], [16, 1]], 1/59719680], [[[1, 1], [2, 8], [4, 1], [6, 1], [12, 1], [20, 1]], 67/2388787200], [[[1, 1], [2, 8], [4, 1], [6, 1], [12, 1], [24, 1]], 83/2866544640], [[[1, 1], [2, 8], [4, 1], [6, 1], [12, 1], [30, 1]], 7/716636160], [[[1, 1], [2, 8], [4, 1], [6, 1], [14, 1], [18, 1]], 41/46448640], [[[1, 1], [2, 8], [4, 1], [6, 2], [7, 1], [8, 1]], 1/18579456], [[[1, 1], [2, 8], [4, 1], [6, 2], [8, 1], [9, 1]], 1/23887872], [[[1, 1], [2, 8], [4, 1], [6, 2], [8, 1], [14, 1]], 1/1032192], [[[1, 1], [2, 8], [4, 1], [6, 2], [8, 1], [18, 1]], 1247/4299816960], [[[1, 1], [2, 8], [4, 1], [6, 2], [10, 1], [14, 1]], 1/580608], [[[1, 1], [2, 8], [4, 1], [6, 2], [10, 1], [18, 1]], 1337/2687385600], [[[1, 1], [2, 8], [4, 1], [6, 2], [12, 1], [14, 1]], 2089/2229534720], [[[1, 1], [2, 8], [4, 1], [6, 2], [12, 1], [18, 1]], 6407/25798901760], [[[1, 1], [2, 8], [4, 1], [6, 3], [8, 1], [10, 1]], 23/49766400], [[[1, 1], [2, 8], [4, 1], [6, 3], [8, 1], [12, 1]], 4847/22932357120], [[[1, 1], [2, 8], [4, 1], [6, 3], [10, 1], [12, 1]], 6889/14332723200], [[[1, 1], [2, 8], [4, 1], [7, 1], [8, 1], [10, 1]], 1/8601600], [[[1, 1], [2, 8], [4, 1], [8, 1], [9, 1], [10, 1]], 1/11059200], [[[1, 1], [2, 8], [4, 1], [8, 1], [10, 1], [14, 1]], 11/4300800], [[[1, 1], [2, 8], [4, 1], [8, 1], [10, 1], [18, 1]], 1/1382400], [[[1, 1], [2, 8], [4, 1], [10, 1], [12, 1], [14, 1]], 1/1612800], [[[1, 1], [2, 8], [4, 1], [10, 1], [12, 1], [18, 1]], 1/6220800], [[[1, 1], [2, 8], [4, 2], [5, 1], [6, 2], [8, 1]], 1/26542080], [[[1, 1], [2, 8], [4, 2], [5, 1], [8, 1], [10, 1]], 1/12288000], [[[1, 1], [2, 8], [4, 2], [6, 1], [7, 1], [10, 1]], 13/309657600], [[[1, 1], [2, 8], [4, 2], [6, 1], [7, 1], [12, 1]], 151/20065812480], [[[1, 1], [2, 8], [4, 2], [6, 1], [8, 1], [14, 1]], 41/49545216], [[[1, 1], [2, 8], [4, 2], [6, 1], [8, 1], [18, 1]], 281/1274019840], [[[1, 1], [2, 8], [4, 2], [6, 1], [9, 1], [10, 1]], 13/398131200], [[[1, 1], [2, 8], [4, 2], [6, 1], [9, 1], [12, 1]], 151/25798901760], [[[1, 1], [2, 8], [4, 2], [6, 1], [10, 1], [14, 1]], 19/34406400], [[[1, 1], [2, 8], [4, 2], [6, 1], [10, 1], [18, 1]], 139/796262400], [[[1, 1], [2, 8], [4, 2], [6, 1], [12, 1], [14, 1]], 2903/20065812480], [[[1, 1], [2, 8], [4, 2], [6, 1], [12, 1], [18, 1]], 224471/5417769369600], [[[1, 1], [2, 8], [4, 2], [6, 2], [8, 1], [10, 1]], 233/530841600], [[[1, 1], [2, 8], [4, 2], [6, 2], [8, 1], [12, 1]], 127837/550376570880], [[[1, 1], [2, 8], [4, 2], [6, 2], [10, 1], [12, 1]], 61093/343985356800], [[[1, 1], [2, 8], [4, 2], [8, 1], [10, 1], [12, 1]], 1/6635520], [[[1, 1], [2, 8], [4, 3], [5, 1], [6, 1], [10, 1]], 13/442368000], [[[1, 1], [2, 8], [4, 3], [5, 1], [6, 1], [12, 1]], 151/28665446400], [[[1, 1], [2, 8], [4, 3], [6, 1], [8, 1], [10, 1]], 1/4915200], [[[1, 1], [2, 8], [4, 3], [6, 1], [8, 1], [12, 1]], 2323/45864714240], [[[1, 1], [2, 8], [4, 3], [6, 1], [10, 1], [12, 1]], 2743/28665446400], [[[1, 1], [2, 8], [6, 1], [7, 1], [10, 1], [12, 1]], 1/9676800], [[[1, 1], [2, 8], [6, 1], [8, 1], [10, 1], [14, 1]], 1/921600], [[[1, 1], [2, 8], [6, 1], [8, 1], [10, 1], [18, 1]], 1/3317760], [[[1, 1], [2, 8], [6, 1], [8, 1], [12, 1], [14, 1]], 1/3096576], [[[1, 1], [2, 8], [6, 1], [8, 1], [12, 1], [18, 1]], 1/11943936], [[[1, 1], [2, 8], [6, 1], [9, 1], [10, 1], [12, 1]], 1/12441600], [[[1, 1], [2, 8], [6, 1], [10, 1], [12, 1], [14, 1]], 1/645120], [[[1, 1], [2, 8], [6, 1], [10, 1], [12, 1], [18, 1]], 17/37324800], [[[1, 1], [2, 8], [6, 2], [8, 1], [10, 1], [12, 1]], 19/88473600], [[[1, 1], [2, 10], [3, 1], [4, 1], [5, 1], [9, 1]], 1/3009871872000], [[[1, 1], [2, 10], [3, 1], [4, 1], [5, 2], [6, 1]], 281/60197437440000], [[[1, 1], [2, 10], [3, 1], [4, 1], [6, 1], [8, 2]], 5321/19263179980800], [[[1, 1], [2, 10], [3, 1], [4, 1], [6, 1], [10, 2]], 871193/60197437440000], [[[1, 1], [2, 10], [3, 1], [4, 1], [6, 1], [12, 2]], 317/28894769971200], [[[1, 1], [2, 10], [3, 1], [4, 1], [6, 1], [15, 1]], 281/3009871872000], [[[1, 1], [2, 10], [3, 1], [4, 1], [6, 1], [16, 1]], 1/133772083200], [[[1, 1], [2, 10], [3, 1], [4, 1], [6, 1], [20, 1]], 281/2006581248000], [[[1, 1], [2, 10], [3, 1], [4, 1], [6, 1], [24, 1]], 299/2407897497600], [[[1, 1], [2, 10], [3, 1], [4, 1], [6, 1], [30, 1]], 281/3009871872000], [[[1, 1], [2, 10], [3, 1], [4, 1], [6, 2], [9, 1]], 1/2579890176], [[[1, 1], [2, 10], [3, 1], [4, 1], [6, 2], [14, 1]], 1/78382080], [[[1, 1], [2, 10], [3, 1], [4, 1], [6, 2], [18, 1]], 6067/1805923123200], [[[1, 1], [2, 10], [3, 1], [4, 1], [6, 3], [8, 1]], 241/22932357120], [[[1, 1], [2, 10], [3, 1], [4, 1], [6, 3], [10, 1]], 89/10749542400], [[[1, 1], [2, 10], [3, 1], [4, 1], [6, 3], [12, 1]], 23987/9631589990400], [[[1, 1], [2, 10], [3, 1], [4, 1], [8, 1], [9, 1]], 131/9631589990400], [[[1, 1], [2, 10], [3, 1], [4, 1], [9, 1], [10, 1]], 1513/3009871872000], [[[1, 1], [2, 10], [3, 1], [4, 1], [9, 1], [12, 1]], 1/1805923123200], [[[1, 1], [2, 10], [3, 1], [4, 1], [10, 1], [14, 1]], 1/38707200], [[[1, 1], [2, 10], [3, 1], [4, 1], [10, 1], [18, 1]], 1/149299200], [[[1, 1], [2, 10], [3, 1], [4, 2], [5, 1], [6, 2]], 19/85996339200], [[[1, 1], [2, 10], [3, 1], [4, 2], [5, 1], [10, 1]], 1/2654208000], [[[1, 1], [2, 10], [3, 1], [4, 2], [5, 1], [12, 1]], 1/6019743744000], [[[1, 1], [2, 10], [3, 1], [4, 2], [6, 1], [9, 1]], 3551/43342154956800], [[[1, 1], [2, 10], [3, 1], [4, 2], [6, 1], [14, 1]], 1/148635648], [[[1, 1], [2, 10], [3, 1], [4, 2], [6, 1], [18, 1]], 1/573308928], [[[1, 1], [2, 10], [3, 1], [4, 2], [6, 2], [8, 1]], 211/68797071360], [[[1, 1], [2, 10], [3, 1], [4, 2], [6, 2], [10, 1]], 7/849346560], [[[1, 1], [2, 10], [3, 1], [4, 2], [6, 2], [12, 1]], 50261/28894769971200], [[[1, 1], [2, 10], [3, 1], [4, 2], [8, 1], [10, 1]], 13/2123366400], [[[1, 1], [2, 10], [3, 1], [4, 2], [8, 1], [12, 1]], 1/4815794995200], [[[1, 1], [2, 10], [3, 1], [4, 2], [10, 1], [12, 1]], 1/2123366400], [[[1, 1], [2, 10], [3, 1], [4, 3], [6, 1], [8, 1]], 4727/3210529996800], [[[1, 1], [2, 10], [3, 1], [4, 3], [6, 1], [10, 1]], 1/424673280], [[[1, 1], [2, 10], [3, 1], [4, 3], [6, 1], [12, 1]], 5323/14447384985600], [[[1, 1], [2, 10], [3, 1], [5, 1], [6, 1], [14, 1]], 1/1045094400], [[[1, 1], [2, 10], [3, 1], [5, 1], [6, 1], [18, 1]], 1121/4514807808000], [[[1, 1], [2, 10], [3, 1], [5, 1], [6, 2], [10, 1]], 7/2239488000], [[[1, 1], [2, 10], [3, 1], [5, 1], [6, 2], [12, 1]], 4481/24078974976000], [[[1, 1], [2, 10], [3, 1], [6, 1], [8, 1], [9, 1]], 281/3611846246400], [[[1, 1], [2, 10], [3, 1], [6, 1], [8, 1], [14, 1]], 1/836075520], [[[1, 1], [2, 10], [3, 1], [6, 1], [8, 1], [18, 1]], 1121/3611846246400], [[[1, 1], [2, 10], [3, 1], [6, 1], [9, 1], [10, 1]], 2693/2257403904000], [[[1, 1], [2, 10], [3, 1], [6, 1], [9, 1], [12, 1]], 31/2708884684800], [[[1, 1], [2, 10], [3, 1], [6, 1], [10, 1], [14, 1]], 1/9676800], [[[1, 1], [2, 10], [3, 1], [6, 1], [10, 1], [18, 1]], 1/37324800], [[[1, 1], [2, 10], [3, 1], [6, 1], [12, 1], [14, 1]], 1/836075520], [[[1, 1], [2, 10], [3, 1], [6, 1], [12, 1], [18, 1]], 1121/3611846246400], [[[1, 1], [2, 10], [3, 1], [6, 2], [8, 1], [10, 1]], 7/1791590400], [[[1, 1], [2, 10], [3, 1], [6, 2], [8, 1], [12, 1]], 4481/19263179980800], [[[1, 1], [2, 10], [3, 1], [6, 2], [10, 1], [12, 1]], 43/1791590400], [[[1, 1], [2, 10], [3, 2], [4, 1], [5, 1], [6, 2]], 4481/96315899904000], [[[1, 1], [2, 10], [3, 2], [4, 1], [5, 1], [12, 1]], 1/16052649984000], [[[1, 1], [2, 10], [3, 2], [4, 1], [6, 1], [9, 1]], 281/5417769369600], [[[1, 1], [2, 10], [3, 2], [4, 1], [6, 1], [14, 1]], 1/743178240], [[[1, 1], [2, 10], [3, 2], [4, 1], [6, 1], [18, 1]], 1/2866544640], [[[1, 1], [2, 10], [3, 2], [4, 1], [6, 2], [8, 1]], 224131/308210879692800], [[[1, 1], [2, 10], [3, 2], [4, 1], [6, 2], [10, 1]], 308393/96315899904000], [[[1, 1], [2, 10], [3, 2], [4, 1], [6, 2], [12, 1]], 23873/57789539942400], [[[1, 1], [2, 10], [3, 2], [4, 1], [8, 1], [12, 1]], 131/51368479948800], [[[1, 1], [2, 10], [3, 2], [4, 1], [10, 1], [12, 1]], 1513/16052649984000], [[[1, 1], [2, 10], [3, 2], [4, 2], [6, 1], [8, 1]], 23/61152952320], [[[1, 1], [2, 10], [3, 2], [4, 2], [6, 1], [10, 1]], 13/19110297600], [[[1, 1], [2, 10], [3, 2], [4, 2], [6, 1], [12, 1]], 2329/138694895861760], [[[1, 1], [2, 10], [3, 2], [6, 1], [8, 1], [10, 1]], 1/796262400], [[[1, 1], [2, 10], [3, 2], [6, 1], [8, 1], [12, 1]], 281/19263179980800], [[[1, 1], [2, 10], [3, 2], [6, 1], [10, 1], [12, 1]], 2693/12039487488000], [[[1, 1], [2, 10], [3, 3], [4, 1], [6, 1], [8, 1]], 1/206391214080], [[[1, 1], [2, 10], [3, 3], [4, 1], [6, 1], [10, 1]], 1/1194393600], [[[1, 1], [2, 10], [3, 3], [4, 1], [6, 1], [12, 1]], 281/28894769971200], [[[1, 1], [2, 10], [4, 1], [5, 1], [6, 1], [14, 1]], 1/696729600], [[[1, 1], [2, 10], [4, 1], [5, 1], [6, 1], [18, 1]], 1121/3009871872000], [[[1, 1], [2, 10], [4, 1], [5, 1], [6, 2], [10, 1]], 7/1492992000], [[[1, 1], [2, 10], [4, 1], [5, 1], [6, 2], [12, 1]], 4481/16052649984000], [[[1, 1], [2, 10], [4, 1], [5, 1], [8, 1], [10, 1]], 1/111476736000], [[[1, 1], [2, 10], [4, 1], [6, 1], [7, 1], [8, 1]], 1/2229534720], [[[1, 1], [2, 10], [4, 1], [6, 1], [8, 1], [9, 1]], 1/2866544640], [[[1, 1], [2, 10], [4, 1], [6, 1], [8, 1], [14, 1]], 1/46448640], [[[1, 1], [2, 10], [4, 1], [6, 1], [8, 1], [18, 1]], 56131/9631589990400], [[[1, 1], [2, 10], [4, 1], [6, 1], [10, 1], [14, 1]], 137/1393459200], [[[1, 1], [2, 10], [4, 1], [6, 1], [10, 1], [18, 1]], 78233/3009871872000], [[[1, 1], [2, 10], [4, 1], [6, 1], [12, 1], [14, 1]], 1/95551488], [[[1, 1], [2, 10], [4, 1], [6, 1], [12, 1], [18, 1]], 4901/1805923123200], [[[1, 1], [2, 10], [4, 1], [6, 2], [8, 1], [10, 1]], 7/159252480], [[[1, 1], [2, 10], [4, 1], [6, 2], [8, 1], [12, 1]], 224131/51368479948800], [[[1, 1], [2, 10], [4, 1], [6, 2], [10, 1], [12, 1]], 144611/5350883328000], [[[1, 1], [2, 10], [4, 2], [5, 1], [6, 1], [8, 1]], 1/3185049600], [[[1, 1], [2, 10], [4, 2], [6, 1], [8, 1], [10, 1]], 319/12740198400], [[[1, 1], [2, 10], [4, 2], [6, 1], [8, 1], [12, 1]], 27337/9631589990400], [[[1, 1], [2, 10], [4, 2], [6, 1], [10, 1], [12, 1]], 7489/1504935936000], [[[1, 1], [2, 10], [6, 1], [8, 1], [10, 1], [12, 1]], 1/132710400], [[[1, 1], [2, 12], [3, 1], [4, 1], [5, 1], [8, 1]], 1/10701766656000], [[[1, 1], [2, 12], [3, 1], [4, 1], [6, 1], [9, 1]], 29/14447384985600], [[[1, 1], [2, 12], [3, 1], [4, 1], [6, 1], [14, 1]], 281/2809213747200], [[[1, 1], [2, 12], [3, 1], [4, 1], [6, 1], [18, 1]], 5/192631799808], [[[1, 1], [2, 12], [3, 1], [4, 1], [6, 2], [8, 1]], 4481/51368479948800], [[[1, 1], [2, 12], [3, 1], [4, 1], [6, 2], [10, 1]], 691/2006581248000], [[[1, 1], [2, 12], [3, 1], [4, 1], [6, 2], [12, 1]], 1499/77052719923200], [[[1, 1], [2, 12], [3, 1], [4, 1], [8, 1], [12, 1]], 1/8561413324800], [[[1, 1], [2, 12], [3, 1], [4, 2], [5, 1], [6, 1]], 71/48157949952000], [[[1, 1], [2, 12], [3, 1], [4, 2], [6, 1], [8, 1]], 457/19263179980800], [[[1, 1], [2, 12], [3, 1], [4, 2], [6, 1], [10, 1]], 1/6370099200], [[[1, 1], [2, 12], [3, 1], [4, 2], [6, 1], [12, 1]], 221/115579079884800], [[[1, 1], [2, 12], [3, 1], [5, 1], [6, 1], [10, 1]], 113/5016453120000], [[[1, 1], [2, 12], [3, 1], [5, 1], [6, 1], [12, 1]], 1/12039487488000], [[[1, 1], [2, 12], [3, 1], [6, 1], [8, 1], [10, 1]], 113/4013162496000], [[[1, 1], [2, 12], [3, 1], [6, 1], [8, 1], [12, 1]], 1/9631589990400], [[[1, 1], [2, 12], [3, 1], [6, 1], [10, 1], [12, 1]], 113/4013162496000], [[[1, 1], [2, 12], [3, 2], [4, 1], [5, 1], [6, 1]], 1/48157949952000], [[[1, 1], [2, 12], [3, 2], [4, 1], [6, 1], [8, 1]], 67/77052719923200], [[[1, 1], [2, 12], [3, 2], [4, 1], [6, 1], [10, 1]], 1513/48157949952000], [[[1, 1], [2, 12], [3, 2], [4, 1], [6, 1], [12, 1]], 19/46231631953920], [[[1, 1], [2, 12], [4, 1], [5, 1], [6, 1], [10, 1]], 113/3344302080000], [[[1, 1], [2, 12], [4, 1], [5, 1], [6, 1], [12, 1]], 1/8026324992000], [[[1, 1], [2, 12], [4, 1], [6, 1], [8, 1], [10, 1]], 181/297271296000], [[[1, 1], [2, 12], [4, 1], [6, 1], [8, 1], [12, 1]], 67/12842119987200], [[[1, 1], [2, 12], [4, 1], [6, 1], [10, 1], [12, 1]], 131/535088332800], [[[1, 1], [2, 14], [3, 1], [4, 1], [6, 1], [8, 1]], 1/25684239974400], [[[1, 1], [2, 14], [3, 1], [4, 1], [6, 1], [10, 1]], 1/424673280000], [[[1, 1], [2, 14], [3, 1], [4, 1], [6, 1], [12, 1]], 1/115579079884800], [[[1, 1], [3, 1], [4, 2], [5, 2], [9, 1], [12, 1]], 1/4665600], [[[1, 1], [3, 1], [4, 2], [6, 2], [9, 1], [12, 2]], 1/2239488], [[[1, 1], [3, 1], [4, 2], [6, 4], [9, 1], [12, 1]], 1/1209323520], [[[1, 1], [3, 1], [4, 2], [8, 1], [9, 1], [16, 1]], 1/27648], [[[1, 1], [3, 1], [4, 2], [8, 2], [9, 1], [12, 1]], 13/1492992], [[[1, 1], [3, 1], [4, 2], [9, 1], [10, 2], [12, 1]], 1/4665600], [[[1, 1], [3, 1], [4, 2], [9, 1], [12, 1], [15, 1]], 1/233280], [[[1, 1], [3, 1], [4, 2], [9, 1], [12, 1], [20, 1]], 13/155520], [[[1, 1], [3, 1], [4, 2], [9, 1], [12, 1], [24, 1]], 7/186624], [[[1, 1], [3, 1], [4, 2], [9, 1], [12, 1], [30, 1]], 1/233280], [[[1, 1], [3, 1], [4, 4], [6, 1], [9, 1], [18, 1]], 7/67184640], [[[1, 1], [3, 1], [4, 4], [6, 2], [9, 1], [12, 1]], 1/1433272320], [[[1, 1], [3, 1], [5, 2], [6, 1], [9, 1], [18, 1]], 7/874800], [[[1, 1], [3, 1], [5, 2], [6, 2], [9, 1], [12, 1]], 1/18662400], [[[1, 1], [3, 1], [6, 1], [8, 2], [9, 1], [18, 1]], 7/279936], [[[1, 1], [3, 1], [6, 1], [9, 1], [10, 2], [18, 1]], 7/874800], [[[1, 1], [3, 1], [6, 1], [9, 1], [12, 2], [18, 1]], 7/419904], [[[1, 1], [3, 1], [6, 1], [9, 1], [15, 1], [18, 1]], 7/43740], [[[1, 1], [3, 1], [6, 1], [9, 1], [18, 1], [20, 1]], 7/29160], [[[1, 1], [3, 1], [6, 1], [9, 1], [18, 1], [24, 1]], 7/34992], [[[1, 1], [3, 1], [6, 1], [9, 1], [18, 1], [30, 1]], 7/43740], [[[1, 1], [3, 1], [6, 2], [8, 2], [9, 1], [12, 1]], 1/5971968], [[[1, 1], [3, 1], [6, 2], [9, 1], [10, 2], [12, 1]], 1/18662400], [[[1, 1], [3, 1], [6, 2], [9, 1], [12, 1], [15, 1]], 1/933120], [[[1, 1], [3, 1], [6, 2], [9, 1], [12, 1], [20, 1]], 1/622080], [[[1, 1], [3, 1], [6, 2], [9, 1], [12, 1], [24, 1]], 1/746496], [[[1, 1], [3, 1], [6, 2], [9, 1], [12, 1], [30, 1]], 1/933120], [[[1, 1], [3, 1], [6, 3], [9, 1], [12, 1], [18, 1]], 7/419904], [[[1, 1], [3, 2], [4, 2], [5, 2], [6, 2], [12, 1]], 73/149299200], [[[1, 1], [3, 2], [4, 2], [6, 1], [12, 2], [18, 1]], 1/2239488], [[[1, 1], [3, 2], [4, 2], [6, 2], [8, 1], [16, 1]], 1/884736], [[[1, 1], [3, 2], [4, 2], [6, 2], [8, 2], [12, 1]], 85/47775744], [[[1, 1], [3, 2], [4, 2], [6, 2], [10, 2], [12, 1]], 73/149299200], [[[1, 1], [3, 2], [4, 2], [6, 2], [12, 1], [15, 1]], 73/7464960], [[[1, 1], [3, 2], [4, 2], [6, 2], [12, 1], [20, 1]], 17/995328], [[[1, 1], [3, 2], [4, 2], [6, 2], [12, 1], [24, 1]], 151/5971968], [[[1, 1], [3, 2], [4, 2], [6, 2], [12, 1], [30, 1]], 73/7464960], [[[1, 1], [3, 2], [4, 2], [6, 3], [12, 1], [18, 1]], 73/13436928], [[[1, 1], [3, 2], [4, 2], [8, 1], [12, 1], [16, 1]], 1/147456], [[[1, 1], [3, 2], [4, 4], [6, 1], [12, 1], [18, 1]], 1/1433272320], [[[1, 1], [3, 2], [5, 2], [6, 1], [12, 1], [18, 1]], 1/18662400], [[[1, 1], [3, 2], [6, 1], [8, 2], [12, 1], [18, 1]], 1/5971968], [[[1, 1], [3, 2], [6, 1], [10, 2], [12, 1], [18, 1]], 1/18662400], [[[1, 1], [3, 2], [6, 1], [12, 1], [15, 1], [18, 1]], 1/933120], [[[1, 1], [3, 2], [6, 1], [12, 1], [18, 1], [20, 1]], 1/622080], [[[1, 1], [3, 2], [6, 1], [12, 1], [18, 1], [24, 1]], 1/746496], [[[1, 1], [3, 2], [6, 1], [12, 1], [18, 1], [30, 1]], 1/933120], [[[1, 1], [3, 3], [4, 2], [6, 2], [9, 1], [12, 1]], 73/13436928], [[[1, 1], [3, 3], [6, 1], [9, 1], [12, 1], [18, 1]], 7/419904], [[[1, 1], [3, 4], [4, 2], [6, 1], [12, 1], [18, 1]], 1/1209323520], [[[1, 1], [4, 2], [5, 2], [6, 1], [12, 1], [18, 1]], 1/4665600], [[[1, 1], [4, 2], [6, 1], [8, 1], [16, 1], [18, 1]], 1/27648], [[[1, 1], [4, 2], [6, 1], [8, 2], [12, 1], [18, 1]], 13/1492992], [[[1, 1], [4, 2], [6, 1], [10, 2], [12, 1], [18, 1]], 1/4665600], [[[1, 1], [4, 2], [6, 1], [12, 1], [15, 1], [18, 1]], 1/233280], [[[1, 1], [4, 2], [6, 1], [12, 1], [18, 1], [20, 1]], 13/155520], [[[1, 1], [4, 2], [6, 1], [12, 1], [18, 1], [24, 1]], 7/186624], [[[1, 1], [4, 2], [6, 1], [12, 1], [18, 1], [30, 1]], 1/233280], [[[1, 1], [4, 2], [6, 2], [8, 1], [12, 1], [16, 1]], 1/147456], [[[1, 2], [2, 1], [3, 1], [4, 1], [5, 2], [6, 5]], 1/13436928000], [[[1, 2], [2, 1], [3, 1], [4, 1], [5, 3], [9, 1]], 1/2592000], [[[1, 2], [2, 1], [3, 1], [4, 1], [5, 4], [6, 1]], 1/103680000], [[[1, 2], [2, 1], [3, 1], [4, 1], [6, 1], [8, 4]], 1/5898240], [[[1, 2], [2, 1], [3, 1], [4, 1], [6, 1], [10, 4]], 1/103680000], [[[1, 2], [2, 1], [3, 1], [4, 1], [6, 1], [12, 4]], 1103/358318080], [[[1, 2], [2, 1], [3, 1], [4, 1], [6, 1], [15, 2]], 1/259200], [[[1, 2], [2, 1], [3, 1], [4, 1], [6, 1], [16, 2]], 1/55296], [[[1, 2], [2, 1], [3, 1], [4, 1], [6, 1], [20, 2]], 1/69120], [[[1, 2], [2, 1], [3, 1], [4, 1], [6, 1], [24, 2]], 13/55296], [[[1, 2], [2, 1], [3, 1], [4, 1], [6, 1], [30, 2]], 1/259200], [[[1, 2], [2, 1], [3, 1], [4, 1], [6, 1], [40, 1]], 1/5760], [[[1, 2], [2, 1], [3, 1], [4, 1], [6, 1], [48, 1]], 1/6912], [[[1, 2], [2, 1], [3, 1], [4, 1], [6, 1], [60, 1]], 1/8640], [[[1, 2], [2, 1], [3, 1], [4, 1], [6, 3], [12, 3]], 37/11943936], [[[1, 2], [2, 1], [3, 1], [4, 1], [6, 3], [18, 2]], 1/839808], [[[1, 2], [2, 1], [3, 1], [4, 1], [6, 5], [8, 2]], 1/4299816960], [[[1, 2], [2, 1], [3, 1], [4, 1], [6, 5], [10, 2]], 1/13436928000], [[[1, 2], [2, 1], [3, 1], [4, 1], [6, 5], [12, 2]], 307/6449725440], [[[1, 2], [2, 1], [3, 1], [4, 1], [6, 5], [15, 1]], 1/671846400], [[[1, 2], [2, 1], [3, 1], [4, 1], [6, 5], [16, 1]], 1/29859840], [[[1, 2], [2, 1], [3, 1], [4, 1], [6, 5], [20, 1]], 1/447897600], [[[1, 2], [2, 1], [3, 1], [4, 1], [6, 5], [24, 1]], 19/537477120], [[[1, 2], [2, 1], [3, 1], [4, 1], [6, 5], [30, 1]], 1/671846400], [[[1, 2], [2, 1], [3, 1], [4, 1], [6, 6], [18, 1]], 1/1209323520], [[[1, 2], [2, 1], [3, 1], [4, 1], [6, 7], [12, 1]], 1/6449725440], [[[1, 2], [2, 1], [3, 1], [4, 1], [8, 3], [9, 1]], 1/98304], [[[1, 2], [2, 1], [3, 1], [4, 1], [9, 1], [10, 3]], 1/2592000], [[[1, 2], [2, 1], [3, 1], [4, 1], [9, 1], [12, 3]], 7/2239488], [[[1, 2], [2, 1], [3, 1], [4, 1], [9, 1], [28, 1]], 1/6048], [[[1, 2], [2, 1], [3, 1], [4, 1], [9, 1], [36, 1]], 1/7776], [[[1, 2], [2, 1], [3, 1], [4, 1], [9, 2], [18, 1]], 1/7776], [[[1, 2], [2, 1], [3, 1], [4, 2], [5, 1], [12, 3]], 7/3732480], [[[1, 2], [2, 1], [3, 1], [4, 2], [5, 1], [28, 1]], 1/3360], [[[1, 2], [2, 1], [3, 1], [4, 2], [5, 1], [36, 1]], 1/12960], [[[1, 2], [2, 1], [3, 1], [4, 2], [5, 2], [6, 4]], 1/107495424000], [[[1, 2], [2, 1], [3, 1], [4, 2], [5, 2], [8, 2]], 1/132710400], [[[1, 2], [2, 1], [3, 1], [4, 2], [5, 2], [10, 2]], 301/414720000], [[[1, 2], [2, 1], [3, 1], [4, 2], [5, 2], [12, 2]], 13/39813120], [[[1, 2], [2, 1], [3, 1], [4, 2], [5, 2], [15, 1]], 1/20736000], [[[1, 2], [2, 1], [3, 1], [4, 2], [5, 2], [20, 1]], 1/13824000], [[[1, 2], [2, 1], [3, 1], [4, 2], [5, 2], [24, 1]], 1/16588800], [[[1, 2], [2, 1], [3, 1], [4, 2], [5, 2], [30, 1]], 1/20736000], [[[1, 2], [2, 1], [3, 1], [4, 2], [5, 3], [12, 1]], 1/2592000], [[[1, 2], [2, 1], [3, 1], [4, 2], [6, 2], [12, 3]], 809/859963392], [[[1, 2], [2, 1], [3, 1], [4, 2], [6, 2], [18, 2]], 1/6718464], [[[1, 2], [2, 1], [3, 1], [4, 2], [6, 2], [28, 1]], 1/24192], [[[1, 2], [2, 1], [3, 1], [4, 2], [6, 2], [36, 1]], 1/93312], [[[1, 2], [2, 1], [3, 1], [4, 2], [6, 4], [8, 2]], 1/34398535680], [[[1, 2], [2, 1], [3, 1], [4, 2], [6, 4], [10, 2]], 1/107495424000], [[[1, 2], [2, 1], [3, 1], [4, 2], [6, 4], [12, 2]], 1219/10319560704], [[[1, 2], [2, 1], [3, 1], [4, 2], [6, 4], [15, 1]], 1/5374771200], [[[1, 2], [2, 1], [3, 1], [4, 2], [6, 4], [20, 1]], 1/3583180800], [[[1, 2], [2, 1], [3, 1], [4, 2], [6, 4], [24, 1]], 1/4299816960], [[[1, 2], [2, 1], [3, 1], [4, 2], [6, 4], [30, 1]], 1/5374771200], [[[1, 2], [2, 1], [3, 1], [4, 2], [6, 5], [18, 1]], 1/9674588160], [[[1, 2], [2, 1], [3, 1], [4, 2], [6, 6], [12, 1]], 7/30958682112], [[[1, 2], [2, 1], [3, 1], [4, 2], [8, 1], [12, 3]], 7/5971968], [[[1, 2], [2, 1], [3, 1], [4, 2], [8, 1], [28, 1]], 1/5376], [[[1, 2], [2, 1], [3, 1], [4, 2], [8, 1], [36, 1]], 1/20736], [[[1, 2], [2, 1], [3, 1], [4, 2], [8, 2], [10, 2]], 1/132710400], [[[1, 2], [2, 1], [3, 1], [4, 2], [8, 2], [12, 2]], 833/63700992], [[[1, 2], [2, 1], [3, 1], [4, 2], [8, 2], [15, 1]], 1/6635520], [[[1, 2], [2, 1], [3, 1], [4, 2], [8, 2], [16, 1]], 1/24576], [[[1, 2], [2, 1], [3, 1], [4, 2], [8, 2], [20, 1]], 1/4423680], [[[1, 2], [2, 1], [3, 1], [4, 2], [8, 2], [24, 1]], 11/1769472], [[[1, 2], [2, 1], [3, 1], [4, 2], [8, 2], [30, 1]], 1/6635520], [[[1, 2], [2, 1], [3, 1], [4, 2], [8, 3], [12, 1]], 13/1327104], [[[1, 2], [2, 1], [3, 1], [4, 2], [9, 2], [12, 1]], 1/209952], [[[1, 2], [2, 1], [3, 1], [4, 2], [10, 2], [12, 2]], 13/39813120], [[[1, 2], [2, 1], [3, 1], [4, 2], [10, 2], [15, 1]], 1/20736000], [[[1, 2], [2, 1], [3, 1], [4, 2], [10, 2], [20, 1]], 1/13824000], [[[1, 2], [2, 1], [3, 1], [4, 2], [10, 2], [24, 1]], 1/16588800], [[[1, 2], [2, 1], [3, 1], [4, 2], [10, 2], [30, 1]], 1/20736000], [[[1, 2], [2, 1], [3, 1], [4, 2], [12, 1], [28, 1]], 1/4032], [[[1, 2], [2, 1], [3, 1], [4, 2], [12, 1], [36, 1]], 1/13824], [[[1, 2], [2, 1], [3, 1], [4, 2], [12, 2], [15, 1]], 13/1990656], [[[1, 2], [2, 1], [3, 1], [4, 2], [12, 2], [20, 1]], 833/6635520], [[[1, 2], [2, 1], [3, 1], [4, 2], [12, 2], [24, 1]], 461/7962624], [[[1, 2], [2, 1], [3, 1], [4, 2], [12, 2], [30, 1]], 13/1990656], [[[1, 2], [2, 1], [3, 1], [4, 2], [15, 1], [20, 1]], 1/691200], [[[1, 2], [2, 1], [3, 1], [4, 2], [15, 1], [24, 1]], 1/829440], [[[1, 2], [2, 1], [3, 1], [4, 2], [15, 1], [30, 1]], 1/64800], [[[1, 2], [2, 1], [3, 1], [4, 2], [20, 1], [24, 1]], 1/552960], [[[1, 2], [2, 1], [3, 1], [4, 2], [20, 1], [30, 1]], 1/691200], [[[1, 2], [2, 1], [3, 1], [4, 2], [24, 1], [30, 1]], 1/829440], [[[1, 2], [2, 1], [3, 1], [4, 3], [5, 2], [9, 1]], 1/49766400], [[[1, 2], [2, 1], [3, 1], [4, 3], [6, 1], [8, 3]], 1/442368], [[[1, 2], [2, 1], [3, 1], [4, 3], [6, 1], [12, 3]], 2113/8957952], [[[1, 2], [2, 1], [3, 1], [4, 3], [6, 1], [28, 1]], 1/8064], [[[1, 2], [2, 1], [3, 1], [4, 3], [6, 1], [36, 1]], 1/31104], [[[1, 2], [2, 1], [3, 1], [4, 3], [6, 3], [12, 2]], 19/2985984], [[[1, 2], [2, 1], [3, 1], [4, 3], [6, 4], [9, 1]], 1/12899450880], [[[1, 2], [2, 1], [3, 1], [4, 3], [6, 5], [8, 1]], 1/358318080], [[[1, 2], [2, 1], [3, 1], [4, 3], [6, 5], [12, 1]], 19/1612431360], [[[1, 2], [2, 1], [3, 1], [4, 3], [8, 2], [9, 1]], 49/15925248], [[[1, 2], [2, 1], [3, 1], [4, 3], [9, 1], [10, 2]], 1/49766400], [[[1, 2], [2, 1], [3, 1], [4, 3], [9, 1], [12, 2]], 385/23887872], [[[1, 2], [2, 1], [3, 1], [4, 3], [9, 1], [15, 1]], 1/2488320], [[[1, 2], [2, 1], [3, 1], [4, 3], [9, 1], [16, 1]], 1/82944], [[[1, 2], [2, 1], [3, 1], [4, 3], [9, 1], [20, 1]], 13/331776], [[[1, 2], [2, 1], [3, 1], [4, 3], [9, 1], [24, 1]], 1/1990656], [[[1, 2], [2, 1], [3, 1], [4, 3], [9, 1], [30, 1]], 1/2488320], [[[1, 2], [2, 1], [3, 1], [4, 4], [5, 1], [6, 4]], 1/429981696000], [[[1, 2], [2, 1], [3, 1], [4, 4], [5, 1], [8, 2]], 241/530841600], [[[1, 2], [2, 1], [3, 1], [4, 4], [5, 1], [10, 2]], 1/1658880000], [[[1, 2], [2, 1], [3, 1], [4, 4], [5, 1], [12, 2]], 3841/796262400], [[[1, 2], [2, 1], [3, 1], [4, 4], [5, 1], [15, 1]], 1/82944000], [[[1, 2], [2, 1], [3, 1], [4, 4], [5, 1], [20, 1]], 77/11059200], [[[1, 2], [2, 1], [3, 1], [4, 4], [5, 1], [24, 1]], 1/66355200], [[[1, 2], [2, 1], [3, 1], [4, 4], [5, 1], [30, 1]], 1/82944000], [[[1, 2], [2, 1], [3, 1], [4, 4], [5, 2], [6, 2]], 1/11943936000], [[[1, 2], [2, 1], [3, 1], [4, 4], [5, 2], [8, 1]], 1/2654208000], [[[1, 2], [2, 1], [3, 1], [4, 4], [5, 2], [12, 1]], 41/1990656000], [[[1, 2], [2, 1], [3, 1], [4, 4], [6, 2], [8, 2]], 241/3822059520], [[[1, 2], [2, 1], [3, 1], [4, 4], [6, 2], [10, 2]], 1/11943936000], [[[1, 2], [2, 1], [3, 1], [4, 4], [6, 2], [12, 2]], 4087/5733089280], [[[1, 2], [2, 1], [3, 1], [4, 4], [6, 2], [15, 1]], 1/597196800], [[[1, 2], [2, 1], [3, 1], [4, 4], [6, 2], [20, 1]], 77/79626240], [[[1, 2], [2, 1], [3, 1], [4, 4], [6, 2], [24, 1]], 1/477757440], [[[1, 2], [2, 1], [3, 1], [4, 4], [6, 2], [30, 1]], 1/597196800], [[[1, 2], [2, 1], [3, 1], [4, 4], [6, 3], [9, 1]], 1/12899450880], [[[1, 2], [2, 1], [3, 1], [4, 4], [6, 3], [18, 1]], 1/1074954240], [[[1, 2], [2, 1], [3, 1], [4, 4], [6, 4], [8, 1]], 1/687970713600], [[[1, 2], [2, 1], [3, 1], [4, 4], [6, 4], [12, 1]], 131/515978035200], [[[1, 2], [2, 1], [3, 1], [4, 4], [7, 1], [9, 1]], 1/69672960], [[[1, 2], [2, 1], [3, 1], [4, 4], [8, 1], [10, 2]], 1/2654208000], [[[1, 2], [2, 1], [3, 1], [4, 4], [8, 1], [12, 2]], 3841/1274019840], [[[1, 2], [2, 1], [3, 1], [4, 4], [8, 1], [15, 1]], 1/132710400], [[[1, 2], [2, 1], [3, 1], [4, 4], [8, 1], [16, 1]], 1/294912], [[[1, 2], [2, 1], [3, 1], [4, 4], [8, 1], [20, 1]], 77/17694720], [[[1, 2], [2, 1], [3, 1], [4, 4], [8, 1], [24, 1]], 1/106168320], [[[1, 2], [2, 1], [3, 1], [4, 4], [8, 1], [30, 1]], 1/132710400], [[[1, 2], [2, 1], [3, 1], [4, 4], [8, 2], [12, 1]], 761/637009920], [[[1, 2], [2, 1], [3, 1], [4, 4], [9, 1], [14, 1]], 1/139345920], [[[1, 2], [2, 1], [3, 1], [4, 4], [9, 1], [18, 1]], 1/179159040], [[[1, 2], [2, 1], [3, 1], [4, 4], [10, 2], [12, 1]], 41/1990656000], [[[1, 2], [2, 1], [3, 1], [4, 4], [12, 1], [15, 1]], 41/99532800], [[[1, 2], [2, 1], [3, 1], [4, 4], [12, 1], [20, 1]], 181/13271040], [[[1, 2], [2, 1], [3, 1], [4, 4], [12, 1], [24, 1]], 281/79626240], [[[1, 2], [2, 1], [3, 1], [4, 4], [12, 1], [30, 1]], 41/99532800], [[[1, 2], [2, 1], [3, 1], [4, 5], [5, 1], [9, 1]], 1/199065600], [[[1, 2], [2, 1], [3, 1], [4, 5], [5, 2], [6, 1]], 1/3981312000], [[[1, 2], [2, 1], [3, 1], [4, 5], [6, 1], [8, 2]], 241/1274019840], [[[1, 2], [2, 1], [3, 1], [4, 5], [6, 1], [10, 2]], 1/3981312000], [[[1, 2], [2, 1], [3, 1], [4, 5], [6, 1], [12, 2]], 49957/1911029760], [[[1, 2], [2, 1], [3, 1], [4, 5], [6, 1], [15, 1]], 1/199065600], [[[1, 2], [2, 1], [3, 1], [4, 5], [6, 1], [16, 1]], 1/8847360], [[[1, 2], [2, 1], [3, 1], [4, 5], [6, 1], [20, 1]], 77/26542080], [[[1, 2], [2, 1], [3, 1], [4, 5], [6, 1], [24, 1]], 19/159252480], [[[1, 2], [2, 1], [3, 1], [4, 5], [6, 1], [30, 1]], 1/199065600], [[[1, 2], [2, 1], [3, 1], [4, 5], [6, 2], [18, 1]], 1/358318080], [[[1, 2], [2, 1], [3, 1], [4, 5], [6, 3], [12, 1]], 1/1911029760], [[[1, 2], [2, 1], [3, 1], [4, 5], [8, 1], [9, 1]], 203/637009920], [[[1, 2], [2, 1], [3, 1], [4, 5], [9, 1], [10, 1]], 1/199065600], [[[1, 2], [2, 1], [3, 1], [4, 5], [9, 1], [12, 1]], 17/23887872], [[[1, 2], [2, 1], [3, 1], [4, 6], [5, 1], [12, 1]], 19/597196800], [[[1, 2], [2, 1], [3, 1], [4, 6], [6, 1], [18, 1]], 1/2866544640], [[[1, 2], [2, 1], [3, 1], [4, 6], [6, 2], [12, 1]], 617/137594142720], [[[1, 2], [2, 1], [3, 1], [4, 6], [8, 1], [12, 1]], 19/955514880], [[[1, 2], [2, 1], [3, 1], [4, 7], [6, 1], [8, 1]], 1/106168320], [[[1, 2], [2, 1], [3, 1], [4, 7], [6, 1], [12, 1]], 73/1433272320], [[[1, 2], [2, 1], [3, 1], [5, 1], [6, 2], [12, 3]], 1/4976640], [[[1, 2], [2, 1], [3, 1], [5, 1], [6, 2], [18, 2]], 1/349920], [[[1, 2], [2, 1], [3, 1], [5, 1], [6, 4], [8, 2]], 1/1791590400], [[[1, 2], [2, 1], [3, 1], [5, 1], [6, 4], [10, 2]], 1/5598720000], [[[1, 2], [2, 1], [3, 1], [5, 1], [6, 4], [12, 2]], 271/2687385600], [[[1, 2], [2, 1], [3, 1], [5, 1], [6, 4], [15, 1]], 1/279936000], [[[1, 2], [2, 1], [3, 1], [5, 1], [6, 4], [20, 1]], 1/186624000], [[[1, 2], [2, 1], [3, 1], [5, 1], [6, 4], [24, 1]], 1/223948800], [[[1, 2], [2, 1], [3, 1], [5, 1], [6, 4], [30, 1]], 1/279936000], [[[1, 2], [2, 1], [3, 1], [5, 1], [6, 5], [18, 1]], 1/503884800], [[[1, 2], [2, 1], [3, 1], [5, 1], [6, 6], [12, 1]], 1/2687385600], [[[1, 2], [2, 1], [3, 1], [5, 1], [8, 2], [10, 2]], 1/6912000], [[[1, 2], [2, 1], [3, 1], [5, 1], [8, 2], [12, 2]], 1/3317760], [[[1, 2], [2, 1], [3, 1], [5, 1], [8, 2], [15, 1]], 1/345600], [[[1, 2], [2, 1], [3, 1], [5, 1], [8, 2], [20, 1]], 1/230400], [[[1, 2], [2, 1], [3, 1], [5, 1], [8, 2], [24, 1]], 11/92160], [[[1, 2], [2, 1], [3, 1], [5, 1], [8, 2], [30, 1]], 1/345600], [[[1, 2], [2, 1], [3, 1], [5, 1], [10, 2], [12, 2]], 1/10368000], [[[1, 2], [2, 1], [3, 1], [5, 1], [10, 2], [15, 1]], 1/1080000], [[[1, 2], [2, 1], [3, 1], [5, 1], [10, 2], [20, 1]], 1/720000], [[[1, 2], [2, 1], [3, 1], [5, 1], [10, 2], [24, 1]], 1/864000], [[[1, 2], [2, 1], [3, 1], [5, 1], [10, 2], [30, 1]], 1/1080000], [[[1, 2], [2, 1], [3, 1], [5, 1], [12, 1], [36, 1]], 1/6480], [[[1, 2], [2, 1], [3, 1], [5, 1], [12, 2], [15, 1]], 1/518400], [[[1, 2], [2, 1], [3, 1], [5, 1], [12, 2], [20, 1]], 1/345600], [[[1, 2], [2, 1], [3, 1], [5, 1], [12, 2], [24, 1]], 13/414720], [[[1, 2], [2, 1], [3, 1], [5, 1], [12, 2], [30, 1]], 1/518400], [[[1, 2], [2, 1], [3, 1], [5, 1], [15, 1], [20, 1]], 1/36000], [[[1, 2], [2, 1], [3, 1], [5, 1], [15, 1], [24, 1]], 1/43200], [[[1, 2], [2, 1], [3, 1], [5, 1], [15, 1], [30, 1]], 1/3375], [[[1, 2], [2, 1], [3, 1], [5, 1], [20, 1], [24, 1]], 1/28800], [[[1, 2], [2, 1], [3, 1], [5, 1], [20, 1], [30, 1]], 1/36000], [[[1, 2], [2, 1], [3, 1], [5, 1], [24, 1], [30, 1]], 1/43200], [[[1, 2], [2, 1], [3, 1], [5, 2], [6, 2], [8, 2]], 1/49766400], [[[1, 2], [2, 1], [3, 1], [5, 2], [6, 2], [10, 2]], 301/155520000], [[[1, 2], [2, 1], [3, 1], [5, 2], [6, 2], [12, 2]], 7/74649600], [[[1, 2], [2, 1], [3, 1], [5, 2], [6, 2], [15, 1]], 1/7776000], [[[1, 2], [2, 1], [3, 1], [5, 2], [6, 2], [20, 1]], 1/5184000], [[[1, 2], [2, 1], [3, 1], [5, 2], [6, 2], [24, 1]], 1/6220800], [[[1, 2], [2, 1], [3, 1], [5, 2], [6, 2], [30, 1]], 1/7776000], [[[1, 2], [2, 1], [3, 1], [5, 2], [6, 3], [9, 1]], 1/167961600], [[[1, 2], [2, 1], [3, 1], [5, 2], [6, 3], [18, 1]], 1/13996800], [[[1, 2], [2, 1], [3, 1], [5, 2], [6, 4], [8, 1]], 1/8957952000], [[[1, 2], [2, 1], [3, 1], [5, 2], [6, 4], [12, 1]], 91/6718464000], [[[1, 2], [2, 1], [3, 1], [5, 2], [7, 1], [9, 1]], 1/907200], [[[1, 2], [2, 1], [3, 1], [5, 2], [8, 1], [10, 2]], 301/34560000], [[[1, 2], [2, 1], [3, 1], [5, 2], [8, 1], [12, 2]], 1/16588800], [[[1, 2], [2, 1], [3, 1], [5, 2], [8, 1], [15, 1]], 1/1728000], [[[1, 2], [2, 1], [3, 1], [5, 2], [8, 1], [20, 1]], 1/1152000], [[[1, 2], [2, 1], [3, 1], [5, 2], [8, 1], [24, 1]], 1/1382400], [[[1, 2], [2, 1], [3, 1], [5, 2], [8, 1], [30, 1]], 1/1728000], [[[1, 2], [2, 1], [3, 1], [5, 2], [8, 2], [12, 1]], 1/8294400], [[[1, 2], [2, 1], [3, 1], [5, 2], [9, 1], [14, 1]], 1/1814400], [[[1, 2], [2, 1], [3, 1], [5, 2], [9, 1], [18, 1]], 1/2332800], [[[1, 2], [2, 1], [3, 1], [5, 2], [10, 2], [12, 1]], 301/25920000], [[[1, 2], [2, 1], [3, 1], [5, 2], [12, 1], [15, 1]], 1/1296000], [[[1, 2], [2, 1], [3, 1], [5, 2], [12, 1], [20, 1]], 1/864000], [[[1, 2], [2, 1], [3, 1], [5, 2], [12, 1], [24, 1]], 1/1036800], [[[1, 2], [2, 1], [3, 1], [5, 2], [12, 1], [30, 1]], 1/1296000], [[[1, 2], [2, 1], [3, 1], [5, 3], [6, 1], [18, 1]], 1/1944000], [[[1, 2], [2, 1], [3, 1], [5, 3], [6, 2], [12, 1]], 1/10368000], [[[1, 2], [2, 1], [3, 1], [6, 1], [7, 1], [21, 1]], 1/168], [[[1, 2], [2, 1], [3, 1], [6, 1], [8, 3], [9, 1]], 1/995328], [[[1, 2], [2, 1], [3, 1], [6, 1], [8, 3], [18, 1]], 1/995328], [[[1, 2], [2, 1], [3, 1], [6, 1], [9, 1], [10, 3]], 1/3888000], [[[1, 2], [2, 1], [3, 1], [6, 1], [9, 1], [12, 3]], 1/1492992], [[[1, 2], [2, 1], [3, 1], [6, 1], [9, 1], [18, 2]], 299/419904], [[[1, 2], [2, 1], [3, 1], [6, 1], [9, 1], [36, 1]], 1/288], [[[1, 2], [2, 1], [3, 1], [6, 1], [9, 2], [18, 1]], 953/1259712], [[[1, 2], [2, 1], [3, 1], [6, 1], [12, 3], [18, 1]], 1/1119744], [[[1, 2], [2, 1], [3, 1], [6, 1], [14, 1], [42, 1]], 1/168], [[[1, 2], [2, 1], [3, 1], [6, 1], [18, 1], [36, 1]], 1/288], [[[1, 2], [2, 1], [3, 1], [6, 2], [8, 1], [12, 3]], 1/7962624], [[[1, 2], [2, 1], [3, 1], [6, 2], [8, 1], [18, 2]], 1/559872], [[[1, 2], [2, 1], [3, 1], [6, 2], [8, 2], [10, 2]], 1/49766400], [[[1, 2], [2, 1], [3, 1], [6, 2], [8, 2], [12, 2]], 7/23887872], [[[1, 2], [2, 1], [3, 1], [6, 2], [8, 2], [15, 1]], 1/2488320], [[[1, 2], [2, 1], [3, 1], [6, 2], [8, 2], [20, 1]], 1/1658880], [[[1, 2], [2, 1], [3, 1], [6, 2], [8, 2], [24, 1]], 11/663552], [[[1, 2], [2, 1], [3, 1], [6, 2], [8, 2], [30, 1]], 1/2488320], [[[1, 2], [2, 1], [3, 1], [6, 2], [8, 3], [12, 1]], 1/5308416], [[[1, 2], [2, 1], [3, 1], [6, 2], [9, 2], [12, 1]], 1/839808], [[[1, 2], [2, 1], [3, 1], [6, 2], [10, 2], [12, 2]], 7/74649600], [[[1, 2], [2, 1], [3, 1], [6, 2], [10, 2], [15, 1]], 1/7776000], [[[1, 2], [2, 1], [3, 1], [6, 2], [10, 2], [20, 1]], 1/5184000], [[[1, 2], [2, 1], [3, 1], [6, 2], [10, 2], [24, 1]], 1/6220800], [[[1, 2], [2, 1], [3, 1], [6, 2], [10, 2], [30, 1]], 1/7776000], [[[1, 2], [2, 1], [3, 1], [6, 2], [12, 1], [18, 2]], 1/419904], [[[1, 2], [2, 1], [3, 1], [6, 2], [12, 1], [36, 1]], 1/46656], [[[1, 2], [2, 1], [3, 1], [6, 2], [12, 2], [15, 1]], 7/3732480], [[[1, 2], [2, 1], [3, 1], [6, 2], [12, 2], [20, 1]], 7/2488320], [[[1, 2], [2, 1], [3, 1], [6, 2], [12, 2], [24, 1]], 19/2985984], [[[1, 2], [2, 1], [3, 1], [6, 2], [12, 2], [30, 1]], 7/3732480], [[[1, 2], [2, 1], [3, 1], [6, 2], [15, 1], [20, 1]], 1/259200], [[[1, 2], [2, 1], [3, 1], [6, 2], [15, 1], [24, 1]], 1/311040], [[[1, 2], [2, 1], [3, 1], [6, 2], [15, 1], [30, 1]], 1/24300], [[[1, 2], [2, 1], [3, 1], [6, 2], [20, 1], [24, 1]], 1/207360], [[[1, 2], [2, 1], [3, 1], [6, 2], [20, 1], [30, 1]], 1/259200], [[[1, 2], [2, 1], [3, 1], [6, 2], [24, 1], [30, 1]], 1/311040], [[[1, 2], [2, 1], [3, 1], [6, 3], [8, 2], [9, 1]], 1/53747712], [[[1, 2], [2, 1], [3, 1], [6, 3], [8, 2], [18, 1]], 1/4478976], [[[1, 2], [2, 1], [3, 1], [6, 3], [9, 1], [10, 2]], 1/167961600], [[[1, 2], [2, 1], [3, 1], [6, 3], [9, 1], [12, 2]], 55/80621568], [[[1, 2], [2, 1], [3, 1], [6, 3], [9, 1], [15, 1]], 1/8398080], [[[1, 2], [2, 1], [3, 1], [6, 3], [9, 1], [20, 1]], 1/5598720], [[[1, 2], [2, 1], [3, 1], [6, 3], [9, 1], [24, 1]], 1/6718464], [[[1, 2], [2, 1], [3, 1], [6, 3], [9, 1], [30, 1]], 1/8398080], [[[1, 2], [2, 1], [3, 1], [6, 3], [10, 2], [18, 1]], 1/13996800], [[[1, 2], [2, 1], [3, 1], [6, 3], [12, 2], [18, 1]], 7/6718464], [[[1, 2], [2, 1], [3, 1], [6, 3], [15, 1], [18, 1]], 1/699840], [[[1, 2], [2, 1], [3, 1], [6, 3], [18, 1], [20, 1]], 1/466560], [[[1, 2], [2, 1], [3, 1], [6, 3], [18, 1], [24, 1]], 1/559872], [[[1, 2], [2, 1], [3, 1], [6, 3], [18, 1], [30, 1]], 1/699840], [[[1, 2], [2, 1], [3, 1], [6, 4], [7, 1], [9, 1]], 1/235146240], [[[1, 2], [2, 1], [3, 1], [6, 4], [8, 1], [10, 2]], 1/8957952000], [[[1, 2], [2, 1], [3, 1], [6, 4], [8, 1], [12, 2]], 271/4299816960], [[[1, 2], [2, 1], [3, 1], [6, 4], [8, 1], [15, 1]], 1/447897600], [[[1, 2], [2, 1], [3, 1], [6, 4], [8, 1], [20, 1]], 1/298598400], [[[1, 2], [2, 1], [3, 1], [6, 4], [8, 1], [24, 1]], 1/358318080], [[[1, 2], [2, 1], [3, 1], [6, 4], [8, 1], [30, 1]], 1/447897600], [[[1, 2], [2, 1], [3, 1], [6, 4], [8, 2], [12, 1]], 91/2149908480], [[[1, 2], [2, 1], [3, 1], [6, 4], [9, 1], [14, 1]], 1/470292480], [[[1, 2], [2, 1], [3, 1], [6, 4], [9, 1], [18, 1]], 1121/604661760], [[[1, 2], [2, 1], [3, 1], [6, 4], [10, 2], [12, 1]], 91/6718464000], [[[1, 2], [2, 1], [3, 1], [6, 4], [12, 1], [15, 1]], 91/335923200], [[[1, 2], [2, 1], [3, 1], [6, 4], [12, 1], [20, 1]], 91/223948800], [[[1, 2], [2, 1], [3, 1], [6, 4], [12, 1], [24, 1]], 91/268738560], [[[1, 2], [2, 1], [3, 1], [6, 4], [12, 1], [30, 1]], 91/335923200], [[[1, 2], [2, 1], [3, 1], [6, 5], [8, 1], [9, 1]], 1/806215680], [[[1, 2], [2, 1], [3, 1], [6, 5], [8, 1], [18, 1]], 1/806215680], [[[1, 2], [2, 1], [3, 1], [6, 5], [9, 1], [10, 1]], 1/1007769600], [[[1, 2], [2, 1], [3, 1], [6, 5], [9, 1], [12, 1]], 11/806215680], [[[1, 2], [2, 1], [3, 1], [6, 5], [12, 1], [18, 1]], 91/604661760], [[[1, 2], [2, 1], [3, 1], [6, 6], [8, 1], [12, 1]], 1/4299816960], [[[1, 2], [2, 1], [3, 1], [7, 1], [8, 2], [9, 1]], 1/290304], [[[1, 2], [2, 1], [3, 1], [7, 1], [9, 1], [10, 2]], 1/907200], [[[1, 2], [2, 1], [3, 1], [7, 1], [9, 1], [12, 2]], 1/435456], [[[1, 2], [2, 1], [3, 1], [7, 1], [9, 1], [15, 1]], 1/45360], [[[1, 2], [2, 1], [3, 1], [7, 1], [9, 1], [20, 1]], 1/30240], [[[1, 2], [2, 1], [3, 1], [7, 1], [9, 1], [24, 1]], 1/36288], [[[1, 2], [2, 1], [3, 1], [7, 1], [9, 1], [30, 1]], 1/45360], [[[1, 2], [2, 1], [3, 1], [8, 1], [10, 2], [12, 2]], 1/16588800], [[[1, 2], [2, 1], [3, 1], [8, 1], [10, 2], [15, 1]], 1/1728000], [[[1, 2], [2, 1], [3, 1], [8, 1], [10, 2], [20, 1]], 1/1152000], [[[1, 2], [2, 1], [3, 1], [8, 1], [10, 2], [24, 1]], 1/1382400], [[[1, 2], [2, 1], [3, 1], [8, 1], [10, 2], [30, 1]], 1/1728000], [[[1, 2], [2, 1], [3, 1], [8, 1], [12, 1], [36, 1]], 1/10368], [[[1, 2], [2, 1], [3, 1], [8, 1], [12, 2], [15, 1]], 1/829440], [[[1, 2], [2, 1], [3, 1], [8, 1], [12, 2], [20, 1]], 1/552960], [[[1, 2], [2, 1], [3, 1], [8, 1], [12, 2], [24, 1]], 13/663552], [[[1, 2], [2, 1], [3, 1], [8, 1], [12, 2], [30, 1]], 1/829440], [[[1, 2], [2, 1], [3, 1], [8, 1], [15, 1], [20, 1]], 1/57600], [[[1, 2], [2, 1], [3, 1], [8, 1], [15, 1], [24, 1]], 1/69120], [[[1, 2], [2, 1], [3, 1], [8, 1], [15, 1], [30, 1]], 1/5400], [[[1, 2], [2, 1], [3, 1], [8, 1], [20, 1], [24, 1]], 1/46080], [[[1, 2], [2, 1], [3, 1], [8, 1], [20, 1], [30, 1]], 1/57600], [[[1, 2], [2, 1], [3, 1], [8, 1], [24, 1], [30, 1]], 1/69120], [[[1, 2], [2, 1], [3, 1], [8, 2], [9, 1], [14, 1]], 1/580608], [[[1, 2], [2, 1], [3, 1], [8, 2], [9, 1], [18, 1]], 1/746496], [[[1, 2], [2, 1], [3, 1], [8, 2], [10, 2], [12, 1]], 1/8294400], [[[1, 2], [2, 1], [3, 1], [8, 2], [12, 1], [15, 1]], 1/414720], [[[1, 2], [2, 1], [3, 1], [8, 2], [12, 1], [20, 1]], 1/276480], [[[1, 2], [2, 1], [3, 1], [8, 2], [12, 1], [24, 1]], 11/110592], [[[1, 2], [2, 1], [3, 1], [8, 2], [12, 1], [30, 1]], 1/414720], [[[1, 2], [2, 1], [3, 1], [9, 1], [10, 2], [14, 1]], 1/1814400], [[[1, 2], [2, 1], [3, 1], [9, 1], [10, 2], [18, 1]], 1/2332800], [[[1, 2], [2, 1], [3, 1], [9, 1], [12, 2], [14, 1]], 1/870912], [[[1, 2], [2, 1], [3, 1], [9, 1], [12, 2], [18, 1]], 1/1119744], [[[1, 2], [2, 1], [3, 1], [9, 1], [14, 1], [15, 1]], 1/90720], [[[1, 2], [2, 1], [3, 1], [9, 1], [14, 1], [20, 1]], 1/60480], [[[1, 2], [2, 1], [3, 1], [9, 1], [14, 1], [24, 1]], 1/72576], [[[1, 2], [2, 1], [3, 1], [9, 1], [14, 1], [30, 1]], 1/90720], [[[1, 2], [2, 1], [3, 1], [9, 1], [15, 1], [18, 1]], 1/116640], [[[1, 2], [2, 1], [3, 1], [9, 1], [18, 1], [20, 1]], 1/77760], [[[1, 2], [2, 1], [3, 1], [9, 1], [18, 1], [24, 1]], 1/93312], [[[1, 2], [2, 1], [3, 1], [9, 1], [18, 1], [30, 1]], 1/116640], [[[1, 2], [2, 1], [3, 1], [10, 2], [12, 1], [15, 1]], 1/1296000], [[[1, 2], [2, 1], [3, 1], [10, 2], [12, 1], [20, 1]], 1/864000], [[[1, 2], [2, 1], [3, 1], [10, 2], [12, 1], [24, 1]], 1/1036800], [[[1, 2], [2, 1], [3, 1], [10, 2], [12, 1], [30, 1]], 1/1296000], [[[1, 2], [2, 1], [3, 1], [12, 1], [15, 1], [20, 1]], 1/43200], [[[1, 2], [2, 1], [3, 1], [12, 1], [15, 1], [24, 1]], 1/51840], [[[1, 2], [2, 1], [3, 1], [12, 1], [15, 1], [30, 1]], 1/4050], [[[1, 2], [2, 1], [3, 1], [12, 1], [20, 1], [24, 1]], 1/34560], [[[1, 2], [2, 1], [3, 1], [12, 1], [20, 1], [30, 1]], 1/43200], [[[1, 2], [2, 1], [3, 1], [12, 1], [24, 1], [30, 1]], 1/51840], [[[1, 2], [2, 1], [3, 2], [4, 1], [5, 1], [6, 6]], 1/21499084800], [[[1, 2], [2, 1], [3, 2], [4, 1], [5, 1], [9, 2]], 1/466560], [[[1, 2], [2, 1], [3, 2], [4, 1], [5, 1], [12, 3]], 1/6635520], [[[1, 2], [2, 1], [3, 2], [4, 1], [5, 2], [12, 2]], 1/8294400], [[[1, 2], [2, 1], [3, 2], [4, 1], [5, 3], [6, 2]], 1/82944000], [[[1, 2], [2, 1], [3, 2], [4, 1], [5, 3], [12, 1]], 1/13824000], [[[1, 2], [2, 1], [3, 2], [4, 1], [6, 2], [8, 3]], 1/3145728], [[[1, 2], [2, 1], [3, 2], [4, 1], [6, 2], [10, 3]], 1/82944000], [[[1, 2], [2, 1], [3, 2], [4, 1], [6, 2], [12, 3]], 673/71663616], [[[1, 2], [2, 1], [3, 2], [4, 1], [6, 2], [28, 1]], 1/193536], [[[1, 2], [2, 1], [3, 2], [4, 1], [6, 2], [36, 1]], 1/248832], [[[1, 2], [2, 1], [3, 2], [4, 1], [6, 4], [12, 2]], 6571/2149908480], [[[1, 2], [2, 1], [3, 2], [4, 1], [6, 5], [9, 1]], 1/1209323520], [[[1, 2], [2, 1], [3, 2], [4, 1], [6, 6], [8, 1]], 11/68797071360], [[[1, 2], [2, 1], [3, 2], [4, 1], [6, 6], [10, 1]], 1/21499084800], [[[1, 2], [2, 1], [3, 2], [4, 1], [6, 6], [12, 1]], 73/12899450880], [[[1, 2], [2, 1], [3, 2], [4, 1], [8, 1], [9, 2]], 11/1492992], [[[1, 2], [2, 1], [3, 2], [4, 1], [8, 1], [12, 3]], 11/21233664], [[[1, 2], [2, 1], [3, 2], [4, 1], [8, 2], [12, 2]], 1/2654208], [[[1, 2], [2, 1], [3, 2], [4, 1], [8, 3], [12, 1]], 1/524288], [[[1, 2], [2, 1], [3, 2], [4, 1], [9, 2], [10, 1]], 1/466560], [[[1, 2], [2, 1], [3, 2], [4, 1], [9, 2], [12, 1]], 1/279936], [[[1, 2], [2, 1], [3, 2], [4, 1], [10, 1], [12, 3]], 1/6635520], [[[1, 2], [2, 1], [3, 2], [4, 1], [10, 2], [12, 2]], 1/8294400], [[[1, 2], [2, 1], [3, 2], [4, 1], [10, 3], [12, 1]], 1/13824000], [[[1, 2], [2, 1], [3, 2], [4, 1], [12, 1], [28, 1]], 1/32256], [[[1, 2], [2, 1], [3, 2], [4, 1], [12, 1], [36, 1]], 1/41472], [[[1, 2], [2, 1], [3, 2], [4, 1], [12, 2], [15, 1]], 1/414720], [[[1, 2], [2, 1], [3, 2], [4, 1], [12, 2], [16, 1]], 1/55296], [[[1, 2], [2, 1], [3, 2], [4, 1], [12, 2], [20, 1]], 1/55296], [[[1, 2], [2, 1], [3, 2], [4, 1], [12, 2], [24, 1]], 7/331776], [[[1, 2], [2, 1], [3, 2], [4, 1], [12, 2], [30, 1]], 1/414720], [[[1, 2], [2, 1], [3, 2], [4, 2], [5, 2], [9, 1]], 1/37324800], [[[1, 2], [2, 1], [3, 2], [4, 2], [6, 1], [12, 3]], 25/35831808], [[[1, 2], [2, 1], [3, 2], [4, 2], [6, 1], [28, 1]], 1/32256], [[[1, 2], [2, 1], [3, 2], [4, 2], [6, 1], [36, 1]], 1/124416], [[[1, 2], [2, 1], [3, 2], [4, 2], [6, 3], [12, 2]], 667/107495424], [[[1, 2], [2, 1], [3, 2], [4, 2], [6, 4], [9, 1]], 1/9674588160], [[[1, 2], [2, 1], [3, 2], [4, 2], [6, 5], [12, 1]], 731/6449725440], [[[1, 2], [2, 1], [3, 2], [4, 2], [7, 1], [12, 2]], 1/580608], [[[1, 2], [2, 1], [3, 2], [4, 2], [8, 2], [9, 1]], 1/11943936], [[[1, 2], [2, 1], [3, 2], [4, 2], [9, 1], [10, 2]], 1/37324800], [[[1, 2], [2, 1], [3, 2], [4, 2], [9, 1], [12, 2]], 65/221184], [[[1, 2], [2, 1], [3, 2], [4, 2], [9, 1], [15, 1]], 1/1866240], [[[1, 2], [2, 1], [3, 2], [4, 2], [9, 1], [20, 1]], 1/1244160], [[[1, 2], [2, 1], [3, 2], [4, 2], [9, 1], [24, 1]], 1/1492992], [[[1, 2], [2, 1], [3, 2], [4, 2], [9, 1], [30, 1]], 1/1866240], [[[1, 2], [2, 1], [3, 2], [4, 2], [12, 2], [14, 1]], 1/1161216], [[[1, 2], [2, 1], [3, 2], [4, 2], [12, 2], [18, 1]], 1/1492992], [[[1, 2], [2, 1], [3, 2], [4, 3], [5, 1], [12, 2]], 1/1658880], [[[1, 2], [2, 1], [3, 2], [4, 3], [5, 2], [6, 2]], 1/1592524800], [[[1, 2], [2, 1], [3, 2], [4, 3], [5, 2], [12, 1]], 1/265420800], [[[1, 2], [2, 1], [3, 2], [4, 3], [6, 2], [8, 2]], 49/509607936], [[[1, 2], [2, 1], [3, 2], [4, 3], [6, 2], [10, 2]], 1/1592524800], [[[1, 2], [2, 1], [3, 2], [4, 3], [6, 2], [12, 2]], 18967/764411904], [[[1, 2], [2, 1], [3, 2], [4, 3], [6, 2], [15, 1]], 1/79626240], [[[1, 2], [2, 1], [3, 2], [4, 3], [6, 2], [16, 1]], 1/2654208], [[[1, 2], [2, 1], [3, 2], [4, 3], [6, 2], [20, 1]], 13/10616832], [[[1, 2], [2, 1], [3, 2], [4, 3], [6, 2], [24, 1]], 73/63700992], [[[1, 2], [2, 1], [3, 2], [4, 3], [6, 2], [30, 1]], 1/79626240], [[[1, 2], [2, 1], [3, 2], [4, 3], [6, 3], [18, 1]], 1/143327232], [[[1, 2], [2, 1], [3, 2], [4, 3], [6, 4], [12, 1]], 91/68797071360], [[[1, 2], [2, 1], [3, 2], [4, 3], [8, 1], [12, 2]], 35/5308416], [[[1, 2], [2, 1], [3, 2], [4, 3], [8, 2], [12, 1]], 49/84934656], [[[1, 2], [2, 1], [3, 2], [4, 3], [10, 1], [12, 2]], 1/1658880], [[[1, 2], [2, 1], [3, 2], [4, 3], [10, 2], [12, 1]], 1/265420800], [[[1, 2], [2, 1], [3, 2], [4, 3], [12, 1], [15, 1]], 1/13271040], [[[1, 2], [2, 1], [3, 2], [4, 3], [12, 1], [16, 1]], 1/442368], [[[1, 2], [2, 1], [3, 2], [4, 3], [12, 1], [20, 1]], 13/1769472], [[[1, 2], [2, 1], [3, 2], [4, 3], [12, 1], [24, 1]], 1/10616832], [[[1, 2], [2, 1], [3, 2], [4, 3], [12, 1], [30, 1]], 1/13271040], [[[1, 2], [2, 1], [3, 2], [4, 4], [5, 1], [9, 1]], 1/149299200], [[[1, 2], [2, 1], [3, 2], [4, 4], [5, 2], [6, 1]], 1/15925248000], [[[1, 2], [2, 1], [3, 2], [4, 4], [6, 1], [8, 2]], 241/5096079360], [[[1, 2], [2, 1], [3, 2], [4, 4], [6, 1], [10, 2]], 1/15925248000], [[[1, 2], [2, 1], [3, 2], [4, 4], [6, 1], [12, 2]], 3847/7644119040], [[[1, 2], [2, 1], [3, 2], [4, 4], [6, 1], [15, 1]], 1/796262400], [[[1, 2], [2, 1], [3, 2], [4, 4], [6, 1], [20, 1]], 77/106168320], [[[1, 2], [2, 1], [3, 2], [4, 4], [6, 1], [24, 1]], 1/637009920], [[[1, 2], [2, 1], [3, 2], [4, 4], [6, 1], [30, 1]], 1/796262400], [[[1, 2], [2, 1], [3, 2], [4, 4], [6, 2], [7, 1]], 1/2229534720], [[[1, 2], [2, 1], [3, 2], [4, 4], [6, 2], [9, 1]], 1/859963392], [[[1, 2], [2, 1], [3, 2], [4, 4], [6, 2], [14, 1]], 1/4459069440], [[[1, 2], [2, 1], [3, 2], [4, 4], [6, 2], [18, 1]], 1/1146617856], [[[1, 2], [2, 1], [3, 2], [4, 4], [6, 3], [8, 1]], 1/7644119040], [[[1, 2], [2, 1], [3, 2], [4, 4], [6, 3], [10, 1]], 1/9555148800], [[[1, 2], [2, 1], [3, 2], [4, 4], [6, 3], [12, 1]], 19/68797071360], [[[1, 2], [2, 1], [3, 2], [4, 4], [7, 1], [12, 1]], 1/371589120], [[[1, 2], [2, 1], [3, 2], [4, 4], [8, 1], [9, 1]], 1/238878720], [[[1, 2], [2, 1], [3, 2], [4, 4], [9, 1], [12, 1]], 11/47775744], [[[1, 2], [2, 1], [3, 2], [4, 4], [12, 1], [14, 1]], 1/743178240], [[[1, 2], [2, 1], [3, 2], [4, 4], [12, 1], [18, 1]], 1/955514880], [[[1, 2], [2, 1], [3, 2], [4, 5], [5, 1], [6, 2]], 1/6370099200], [[[1, 2], [2, 1], [3, 2], [4, 5], [5, 1], [12, 1]], 1/1061683200], [[[1, 2], [2, 1], [3, 2], [4, 5], [6, 1], [9, 1]], 1/358318080], [[[1, 2], [2, 1], [3, 2], [4, 5], [6, 2], [8, 1]], 203/20384317440], [[[1, 2], [2, 1], [3, 2], [4, 5], [6, 2], [10, 1]], 1/6370099200], [[[1, 2], [2, 1], [3, 2], [4, 5], [6, 2], [12, 1]], 1597/3822059520], [[[1, 2], [2, 1], [3, 2], [4, 5], [8, 1], [12, 1]], 203/3397386240], [[[1, 2], [2, 1], [3, 2], [4, 5], [10, 1], [12, 1]], 1/1061683200], [[[1, 2], [2, 1], [3, 2], [4, 6], [6, 1], [12, 1]], 19/5733089280], [[[1, 2], [2, 1], [3, 2], [5, 1], [6, 4], [9, 1]], 1/503884800], [[[1, 2], [2, 1], [3, 2], [5, 1], [8, 2], [9, 1]], 1/622080], [[[1, 2], [2, 1], [3, 2], [5, 1], [9, 1], [10, 2]], 1/1944000], [[[1, 2], [2, 1], [3, 2], [5, 1], [9, 1], [12, 2]], 1/933120], [[[1, 2], [2, 1], [3, 2], [5, 1], [9, 1], [15, 1]], 271/97200], [[[1, 2], [2, 1], [3, 2], [5, 1], [9, 1], [20, 1]], 1/64800], [[[1, 2], [2, 1], [3, 2], [5, 1], [9, 1], [24, 1]], 1/77760], [[[1, 2], [2, 1], [3, 2], [5, 1], [9, 1], [30, 1]], 1/97200], [[[1, 2], [2, 1], [3, 2], [5, 2], [6, 1], [8, 2]], 1/66355200], [[[1, 2], [2, 1], [3, 2], [5, 2], [6, 1], [10, 2]], 301/207360000], [[[1, 2], [2, 1], [3, 2], [5, 2], [6, 1], [12, 2]], 7/99532800], [[[1, 2], [2, 1], [3, 2], [5, 2], [6, 1], [15, 1]], 1/10368000], [[[1, 2], [2, 1], [3, 2], [5, 2], [6, 1], [20, 1]], 1/6912000], [[[1, 2], [2, 1], [3, 2], [5, 2], [6, 1], [24, 1]], 1/8294400], [[[1, 2], [2, 1], [3, 2], [5, 2], [6, 1], [30, 1]], 1/10368000], [[[1, 2], [2, 1], [3, 2], [5, 2], [6, 2], [7, 1]], 1/29030400], [[[1, 2], [2, 1], [3, 2], [5, 2], [6, 2], [9, 1]], 1/11197440], [[[1, 2], [2, 1], [3, 2], [5, 2], [6, 2], [14, 1]], 1/58060800], [[[1, 2], [2, 1], [3, 2], [5, 2], [6, 2], [18, 1]], 1/14929920], [[[1, 2], [2, 1], [3, 2], [5, 2], [6, 3], [8, 1]], 1/99532800], [[[1, 2], [2, 1], [3, 2], [5, 2], [6, 3], [10, 1]], 1/124416000], [[[1, 2], [2, 1], [3, 2], [5, 2], [6, 3], [12, 1]], 19/895795200], [[[1, 2], [2, 1], [3, 2], [5, 2], [7, 1], [12, 1]], 1/4838400], [[[1, 2], [2, 1], [3, 2], [5, 2], [8, 1], [9, 1]], 1/3110400], [[[1, 2], [2, 1], [3, 2], [5, 2], [9, 1], [12, 1]], 1/1866240], [[[1, 2], [2, 1], [3, 2], [5, 2], [12, 1], [14, 1]], 1/9676800], [[[1, 2], [2, 1], [3, 2], [5, 2], [12, 1], [18, 1]], 1/12441600], [[[1, 2], [2, 1], [3, 2], [6, 1], [8, 1], [9, 2]], 1/559872], [[[1, 2], [2, 1], [3, 2], [6, 1], [8, 1], [12, 3]], 1/7962624], [[[1, 2], [2, 1], [3, 2], [6, 1], [8, 2], [10, 2]], 1/66355200], [[[1, 2], [2, 1], [3, 2], [6, 1], [8, 2], [12, 2]], 7/31850496], [[[1, 2], [2, 1], [3, 2], [6, 1], [8, 2], [15, 1]], 1/3317760], [[[1, 2], [2, 1], [3, 2], [6, 1], [8, 2], [20, 1]], 1/2211840], [[[1, 2], [2, 1], [3, 2], [6, 1], [8, 2], [24, 1]], 11/884736], [[[1, 2], [2, 1], [3, 2], [6, 1], [8, 2], [30, 1]], 1/3317760], [[[1, 2], [2, 1], [3, 2], [6, 1], [8, 3], [12, 1]], 1/5308416], [[[1, 2], [2, 1], [3, 2], [6, 1], [9, 2], [10, 1]], 1/699840], [[[1, 2], [2, 1], [3, 2], [6, 1], [9, 2], [12, 1]], 1/559872], [[[1, 2], [2, 1], [3, 2], [6, 1], [10, 1], [12, 3]], 1/9953280], [[[1, 2], [2, 1], [3, 2], [6, 1], [10, 2], [12, 2]], 7/99532800], [[[1, 2], [2, 1], [3, 2], [6, 1], [10, 2], [15, 1]], 1/10368000], [[[1, 2], [2, 1], [3, 2], [6, 1], [10, 2], [20, 1]], 1/6912000], [[[1, 2], [2, 1], [3, 2], [6, 1], [10, 2], [24, 1]], 1/8294400], [[[1, 2], [2, 1], [3, 2], [6, 1], [10, 2], [30, 1]], 1/10368000], [[[1, 2], [2, 1], [3, 2], [6, 1], [10, 3], [12, 1]], 1/20736000], [[[1, 2], [2, 1], [3, 2], [6, 1], [12, 1], [18, 2]], 1/1119744], [[[1, 2], [2, 1], [3, 2], [6, 1], [12, 1], [36, 1]], 1/62208], [[[1, 2], [2, 1], [3, 2], [6, 1], [12, 2], [15, 1]], 7/4976640], [[[1, 2], [2, 1], [3, 2], [6, 1], [12, 2], [20, 1]], 7/3317760], [[[1, 2], [2, 1], [3, 2], [6, 1], [12, 2], [24, 1]], 19/3981312], [[[1, 2], [2, 1], [3, 2], [6, 1], [12, 2], [30, 1]], 7/4976640], [[[1, 2], [2, 1], [3, 2], [6, 1], [15, 1], [20, 1]], 1/345600], [[[1, 2], [2, 1], [3, 2], [6, 1], [15, 1], [24, 1]], 1/414720], [[[1, 2], [2, 1], [3, 2], [6, 1], [15, 1], [30, 1]], 1/32400], [[[1, 2], [2, 1], [3, 2], [6, 1], [20, 1], [24, 1]], 1/276480], [[[1, 2], [2, 1], [3, 2], [6, 1], [20, 1], [30, 1]], 1/345600], [[[1, 2], [2, 1], [3, 2], [6, 1], [24, 1], [30, 1]], 1/414720], [[[1, 2], [2, 1], [3, 2], [6, 2], [7, 1], [8, 2]], 1/9289728], [[[1, 2], [2, 1], [3, 2], [6, 2], [7, 1], [10, 2]], 1/29030400], [[[1, 2], [2, 1], [3, 2], [6, 2], [7, 1], [12, 2]], 151/13934592], [[[1, 2], [2, 1], [3, 2], [6, 2], [7, 1], [15, 1]], 1/1451520], [[[1, 2], [2, 1], [3, 2], [6, 2], [7, 1], [20, 1]], 1/967680], [[[1, 2], [2, 1], [3, 2], [6, 2], [7, 1], [24, 1]], 73/1161216], [[[1, 2], [2, 1], [3, 2], [6, 2], [7, 1], [30, 1]], 1/1451520], [[[1, 2], [2, 1], [3, 2], [6, 2], [8, 2], [9, 1]], 5/17915904], [[[1, 2], [2, 1], [3, 2], [6, 2], [8, 2], [14, 1]], 1/18579456], [[[1, 2], [2, 1], [3, 2], [6, 2], [8, 2], [18, 1]], 5/23887872], [[[1, 2], [2, 1], [3, 2], [6, 2], [9, 1], [10, 2]], 1/11197440], [[[1, 2], [2, 1], [3, 2], [6, 2], [9, 1], [12, 2]], 179/26873856], [[[1, 2], [2, 1], [3, 2], [6, 2], [9, 1], [15, 1]], 1/559872], [[[1, 2], [2, 1], [3, 2], [6, 2], [9, 1], [20, 1]], 1/373248], [[[1, 2], [2, 1], [3, 2], [6, 2], [9, 1], [24, 1]], 77/2239488], [[[1, 2], [2, 1], [3, 2], [6, 2], [9, 1], [30, 1]], 1/559872], [[[1, 2], [2, 1], [3, 2], [6, 2], [10, 2], [14, 1]], 1/58060800], [[[1, 2], [2, 1], [3, 2], [6, 2], [10, 2], [18, 1]], 1/14929920], [[[1, 2], [2, 1], [3, 2], [6, 2], [12, 2], [14, 1]], 151/27869184], [[[1, 2], [2, 1], [3, 2], [6, 2], [12, 2], [18, 1]], 179/35831808], [[[1, 2], [2, 1], [3, 2], [6, 2], [14, 1], [15, 1]], 1/2903040], [[[1, 2], [2, 1], [3, 2], [6, 2], [14, 1], [20, 1]], 1/1935360], [[[1, 2], [2, 1], [3, 2], [6, 2], [14, 1], [24, 1]], 73/2322432], [[[1, 2], [2, 1], [3, 2], [6, 2], [14, 1], [30, 1]], 1/2903040], [[[1, 2], [2, 1], [3, 2], [6, 2], [15, 1], [18, 1]], 1/746496], [[[1, 2], [2, 1], [3, 2], [6, 2], [18, 1], [20, 1]], 1/497664], [[[1, 2], [2, 1], [3, 2], [6, 2], [18, 1], [24, 1]], 77/2985984], [[[1, 2], [2, 1], [3, 2], [6, 2], [18, 1], [30, 1]], 1/746496], [[[1, 2], [2, 1], [3, 2], [6, 3], [7, 1], [18, 1]], 1/2612736], [[[1, 2], [2, 1], [3, 2], [6, 3], [8, 1], [10, 2]], 1/99532800], [[[1, 2], [2, 1], [3, 2], [6, 3], [8, 1], [12, 2]], 151/47775744], [[[1, 2], [2, 1], [3, 2], [6, 3], [8, 1], [15, 1]], 1/4976640], [[[1, 2], [2, 1], [3, 2], [6, 3], [8, 1], [20, 1]], 1/3317760], [[[1, 2], [2, 1], [3, 2], [6, 3], [8, 1], [24, 1]], 73/3981312], [[[1, 2], [2, 1], [3, 2], [6, 3], [8, 1], [30, 1]], 1/4976640], [[[1, 2], [2, 1], [3, 2], [6, 3], [8, 2], [10, 1]], 1/39813120], [[[1, 2], [2, 1], [3, 2], [6, 3], [8, 2], [12, 1]], 19/286654464], [[[1, 2], [2, 1], [3, 2], [6, 3], [9, 1], [18, 1]], 113/5038848], [[[1, 2], [2, 1], [3, 2], [6, 3], [10, 1], [12, 2]], 151/59719680], [[[1, 2], [2, 1], [3, 2], [6, 3], [10, 1], [15, 1]], 1/6220800], [[[1, 2], [2, 1], [3, 2], [6, 3], [10, 1], [20, 1]], 1/4147200], [[[1, 2], [2, 1], [3, 2], [6, 3], [10, 1], [24, 1]], 73/4976640], [[[1, 2], [2, 1], [3, 2], [6, 3], [10, 1], [30, 1]], 1/6220800], [[[1, 2], [2, 1], [3, 2], [6, 3], [10, 2], [12, 1]], 19/895795200], [[[1, 2], [2, 1], [3, 2], [6, 3], [12, 1], [15, 1]], 19/44789760], [[[1, 2], [2, 1], [3, 2], [6, 3], [12, 1], [20, 1]], 19/29859840], [[[1, 2], [2, 1], [3, 2], [6, 3], [12, 1], [24, 1]], 667/35831808], [[[1, 2], [2, 1], [3, 2], [6, 3], [12, 1], [30, 1]], 19/44789760], [[[1, 2], [2, 1], [3, 2], [6, 3], [14, 1], [18, 1]], 1/5225472], [[[1, 2], [2, 1], [3, 2], [6, 4], [7, 1], [12, 1]], 13/179159040], [[[1, 2], [2, 1], [3, 2], [6, 4], [8, 1], [9, 1]], 1/806215680], [[[1, 2], [2, 1], [3, 2], [6, 4], [8, 1], [18, 1]], 1/8957952], [[[1, 2], [2, 1], [3, 2], [6, 4], [9, 1], [12, 1]], 91/483729408], [[[1, 2], [2, 1], [3, 2], [6, 4], [10, 1], [18, 1]], 1/11197440], [[[1, 2], [2, 1], [3, 2], [6, 4], [12, 1], [14, 1]], 13/358318080], [[[1, 2], [2, 1], [3, 2], [6, 4], [12, 1], [18, 1]], 851/3224862720], [[[1, 2], [2, 1], [3, 2], [6, 5], [8, 1], [12, 1]], 91/4299816960], [[[1, 2], [2, 1], [3, 2], [6, 5], [10, 1], [12, 1]], 91/5374771200], [[[1, 2], [2, 1], [3, 2], [7, 1], [8, 2], [12, 1]], 1/1548288], [[[1, 2], [2, 1], [3, 2], [7, 1], [10, 2], [12, 1]], 1/4838400], [[[1, 2], [2, 1], [3, 2], [7, 1], [12, 1], [15, 1]], 1/241920], [[[1, 2], [2, 1], [3, 2], [7, 1], [12, 1], [20, 1]], 1/161280], [[[1, 2], [2, 1], [3, 2], [7, 1], [12, 1], [24, 1]], 1/193536], [[[1, 2], [2, 1], [3, 2], [7, 1], [12, 1], [30, 1]], 1/241920], [[[1, 2], [2, 1], [3, 2], [8, 1], [9, 1], [10, 2]], 1/3110400], [[[1, 2], [2, 1], [3, 2], [8, 1], [9, 1], [12, 2]], 1/1492992], [[[1, 2], [2, 1], [3, 2], [8, 1], [9, 1], [15, 1]], 1/155520], [[[1, 2], [2, 1], [3, 2], [8, 1], [9, 1], [20, 1]], 1/103680], [[[1, 2], [2, 1], [3, 2], [8, 1], [9, 1], [24, 1]], 1/124416], [[[1, 2], [2, 1], [3, 2], [8, 1], [9, 1], [30, 1]], 1/155520], [[[1, 2], [2, 1], [3, 2], [8, 2], [9, 1], [12, 1]], 5/2985984], [[[1, 2], [2, 1], [3, 2], [8, 2], [12, 1], [14, 1]], 1/3096576], [[[1, 2], [2, 1], [3, 2], [8, 2], [12, 1], [18, 1]], 1/3981312], [[[1, 2], [2, 1], [3, 2], [9, 1], [10, 2], [12, 1]], 1/1866240], [[[1, 2], [2, 1], [3, 2], [9, 1], [12, 1], [15, 1]], 1/93312], [[[1, 2], [2, 1], [3, 2], [9, 1], [12, 1], [20, 1]], 1/62208], [[[1, 2], [2, 1], [3, 2], [9, 1], [12, 1], [24, 1]], 5/373248], [[[1, 2], [2, 1], [3, 2], [9, 1], [12, 1], [30, 1]], 1/93312], [[[1, 2], [2, 1], [3, 2], [10, 2], [12, 1], [14, 1]], 1/9676800], [[[1, 2], [2, 1], [3, 2], [10, 2], [12, 1], [18, 1]], 1/12441600], [[[1, 2], [2, 1], [3, 2], [12, 1], [14, 1], [15, 1]], 1/483840], [[[1, 2], [2, 1], [3, 2], [12, 1], [14, 1], [20, 1]], 1/322560], [[[1, 2], [2, 1], [3, 2], [12, 1], [14, 1], [24, 1]], 1/387072], [[[1, 2], [2, 1], [3, 2], [12, 1], [14, 1], [30, 1]], 1/483840], [[[1, 2], [2, 1], [3, 2], [12, 1], [15, 1], [18, 1]], 1/622080], [[[1, 2], [2, 1], [3, 2], [12, 1], [18, 1], [20, 1]], 1/414720], [[[1, 2], [2, 1], [3, 2], [12, 1], [18, 1], [24, 1]], 1/497664], [[[1, 2], [2, 1], [3, 2], [12, 1], [18, 1], [30, 1]], 1/622080], [[[1, 2], [2, 1], [3, 3], [4, 1], [5, 2], [6, 3]], 1/5971968], [[[1, 2], [2, 1], [3, 3], [4, 1], [6, 1], [9, 2]], 1/839808], [[[1, 2], [2, 1], [3, 3], [4, 1], [6, 1], [12, 3]], 37/11943936], [[[1, 2], [2, 1], [3, 3], [4, 1], [6, 3], [8, 2]], 25/47775744], [[[1, 2], [2, 1], [3, 3], [4, 1], [6, 3], [10, 2]], 1/5971968], [[[1, 2], [2, 1], [3, 3], [4, 1], [6, 3], [12, 2]], 211/71663616], [[[1, 2], [2, 1], [3, 3], [4, 1], [6, 3], [15, 1]], 5/1492992], [[[1, 2], [2, 1], [3, 3], [4, 1], [6, 3], [16, 1]], 1/331776], [[[1, 2], [2, 1], [3, 3], [4, 1], [6, 3], [20, 1]], 5/995328], [[[1, 2], [2, 1], [3, 3], [4, 1], [6, 3], [24, 1]], 115/5971968], [[[1, 2], [2, 1], [3, 3], [4, 1], [6, 3], [30, 1]], 5/1492992], [[[1, 2], [2, 1], [3, 3], [4, 1], [6, 4], [18, 1]], 25/13436928], [[[1, 2], [2, 1], [3, 3], [4, 1], [6, 5], [12, 1]], 2251/6449725440], [[[1, 2], [2, 1], [3, 3], [4, 1], [9, 1], [12, 2]], 1/746496], [[[1, 2], [2, 1], [3, 3], [4, 2], [5, 1], [12, 2]], 1/1244160], [[[1, 2], [2, 1], [3, 3], [4, 2], [5, 2], [6, 2]], 1/1194393600], [[[1, 2], [2, 1], [3, 3], [4, 2], [5, 2], [12, 1]], 59/5374771200], [[[1, 2], [2, 1], [3, 3], [4, 2], [6, 2], [8, 2]], 1/382205952], [[[1, 2], [2, 1], [3, 3], [4, 2], [6, 2], [10, 2]], 1/1194393600], [[[1, 2], [2, 1], [3, 3], [4, 2], [6, 2], [12, 2]], 44047/5159780352], [[[1, 2], [2, 1], [3, 3], [4, 2], [6, 2], [15, 1]], 1/59719680], [[[1, 2], [2, 1], [3, 3], [4, 2], [6, 2], [20, 1]], 1/39813120], [[[1, 2], [2, 1], [3, 3], [4, 2], [6, 2], [24, 1]], 73/47775744], [[[1, 2], [2, 1], [3, 3], [4, 2], [6, 2], [30, 1]], 1/59719680], [[[1, 2], [2, 1], [3, 3], [4, 2], [6, 3], [18, 1]], 1/107495424], [[[1, 2], [2, 1], [3, 3], [4, 2], [6, 4], [12, 1]], 1894649/1393140695040], [[[1, 2], [2, 1], [3, 3], [4, 2], [8, 1], [12, 2]], 1/1990656], [[[1, 2], [2, 1], [3, 3], [4, 2], [8, 1], [16, 1]], 1/995328], [[[1, 2], [2, 1], [3, 3], [4, 2], [8, 2], [12, 1]], 443/1719926784], [[[1, 2], [2, 1], [3, 3], [4, 2], [10, 2], [12, 1]], 59/5374771200], [[[1, 2], [2, 1], [3, 3], [4, 2], [12, 1], [15, 1]], 59/268738560], [[[1, 2], [2, 1], [3, 3], [4, 2], [12, 1], [20, 1]], 443/179159040], [[[1, 2], [2, 1], [3, 3], [4, 2], [12, 1], [24, 1]], 251/214990848], [[[1, 2], [2, 1], [3, 3], [4, 2], [12, 1], [30, 1]], 59/268738560], [[[1, 2], [2, 1], [3, 3], [4, 3], [6, 1], [12, 2]], 19/2985984], [[[1, 2], [2, 1], [3, 3], [4, 3], [6, 2], [9, 1]], 1/143327232], [[[1, 2], [2, 1], [3, 3], [4, 3], [6, 3], [8, 1]], 1/3981312], [[[1, 2], [2, 1], [3, 3], [4, 3], [6, 3], [12, 1]], 115/17915904], [[[1, 2], [2, 1], [3, 3], [4, 3], [9, 1], [12, 1]], 1/23887872], [[[1, 2], [2, 1], [3, 3], [4, 4], [5, 1], [6, 2]], 1/4777574400], [[[1, 2], [2, 1], [3, 3], [4, 4], [5, 1], [12, 1]], 1/796262400], [[[1, 2], [2, 1], [3, 3], [4, 4], [6, 1], [9, 1]], 1/1433272320], [[[1, 2], [2, 1], [3, 3], [4, 4], [6, 1], [18, 1]], 1/9674588160], [[[1, 2], [2, 1], [3, 3], [4, 4], [6, 2], [8, 1]], 1/7644119040], [[[1, 2], [2, 1], [3, 3], [4, 4], [6, 2], [12, 1]], 26299/51597803520], [[[1, 2], [2, 1], [3, 3], [4, 4], [8, 1], [12, 1]], 1/1274019840], [[[1, 2], [2, 1], [3, 3], [4, 5], [6, 1], [12, 1]], 1/1911029760], [[[1, 2], [2, 1], [3, 3], [5, 1], [6, 2], [8, 2]], 1/19906560], [[[1, 2], [2, 1], [3, 3], [5, 1], [6, 2], [10, 2]], 1/62208000], [[[1, 2], [2, 1], [3, 3], [5, 1], [6, 2], [12, 2]], 151/29859840], [[[1, 2], [2, 1], [3, 3], [5, 1], [6, 2], [15, 1]], 1/3110400], [[[1, 2], [2, 1], [3, 3], [5, 1], [6, 2], [20, 1]], 1/2073600], [[[1, 2], [2, 1], [3, 3], [5, 1], [6, 2], [24, 1]], 73/2488320], [[[1, 2], [2, 1], [3, 3], [5, 1], [6, 2], [30, 1]], 1/3110400], [[[1, 2], [2, 1], [3, 3], [5, 1], [6, 3], [18, 1]], 1/5598720], [[[1, 2], [2, 1], [3, 3], [5, 1], [6, 4], [12, 1]], 91/2687385600], [[[1, 2], [2, 1], [3, 3], [5, 1], [8, 2], [12, 1]], 1/3317760], [[[1, 2], [2, 1], [3, 3], [5, 1], [10, 2], [12, 1]], 1/10368000], [[[1, 2], [2, 1], [3, 3], [5, 1], [12, 1], [15, 1]], 1/518400], [[[1, 2], [2, 1], [3, 3], [5, 1], [12, 1], [20, 1]], 1/345600], [[[1, 2], [2, 1], [3, 3], [5, 1], [12, 1], [24, 1]], 1/414720], [[[1, 2], [2, 1], [3, 3], [5, 1], [12, 1], [30, 1]], 1/518400], [[[1, 2], [2, 1], [3, 3], [5, 2], [6, 1], [9, 1]], 1/18662400], [[[1, 2], [2, 1], [3, 3], [5, 2], [6, 1], [18, 1]], 1/125971200], [[[1, 2], [2, 1], [3, 3], [5, 2], [6, 2], [8, 1]], 1/99532800], [[[1, 2], [2, 1], [3, 3], [5, 2], [6, 2], [12, 1]], 19/671846400], [[[1, 2], [2, 1], [3, 3], [5, 2], [8, 1], [12, 1]], 1/16588800], [[[1, 2], [2, 1], [3, 3], [6, 1], [8, 2], [9, 1]], 1/5971968], [[[1, 2], [2, 1], [3, 3], [6, 1], [8, 2], [18, 1]], 1/40310784], [[[1, 2], [2, 1], [3, 3], [6, 1], [9, 1], [10, 2]], 1/18662400], [[[1, 2], [2, 1], [3, 3], [6, 1], [9, 1], [12, 2]], 7/8957952], [[[1, 2], [2, 1], [3, 3], [6, 1], [9, 1], [15, 1]], 1/933120], [[[1, 2], [2, 1], [3, 3], [6, 1], [9, 1], [20, 1]], 1/622080], [[[1, 2], [2, 1], [3, 3], [6, 1], [9, 1], [24, 1]], 1/746496], [[[1, 2], [2, 1], [3, 3], [6, 1], [9, 1], [30, 1]], 1/933120], [[[1, 2], [2, 1], [3, 3], [6, 1], [10, 2], [18, 1]], 1/125971200], [[[1, 2], [2, 1], [3, 3], [6, 1], [12, 2], [18, 1]], 55/60466176], [[[1, 2], [2, 1], [3, 3], [6, 1], [15, 1], [18, 1]], 1/6298560], [[[1, 2], [2, 1], [3, 3], [6, 1], [18, 1], [20, 1]], 1/4199040], [[[1, 2], [2, 1], [3, 3], [6, 1], [18, 1], [24, 1]], 1/5038848], [[[1, 2], [2, 1], [3, 3], [6, 1], [18, 1], [30, 1]], 1/6298560], [[[1, 2], [2, 1], [3, 3], [6, 2], [7, 1], [9, 1]], 1/2612736], [[[1, 2], [2, 1], [3, 3], [6, 2], [8, 1], [10, 2]], 1/99532800], [[[1, 2], [2, 1], [3, 3], [6, 2], [8, 1], [12, 2]], 151/47775744], [[[1, 2], [2, 1], [3, 3], [6, 2], [8, 1], [15, 1]], 1/4976640], [[[1, 2], [2, 1], [3, 3], [6, 2], [8, 1], [20, 1]], 1/3317760], [[[1, 2], [2, 1], [3, 3], [6, 2], [8, 1], [24, 1]], 73/3981312], [[[1, 2], [2, 1], [3, 3], [6, 2], [8, 1], [30, 1]], 1/4976640], [[[1, 2], [2, 1], [3, 3], [6, 2], [8, 2], [12, 1]], 19/214990848], [[[1, 2], [2, 1], [3, 3], [6, 2], [9, 1], [14, 1]], 1/5225472], [[[1, 2], [2, 1], [3, 3], [6, 2], [9, 1], [18, 1]], 113/6718464], [[[1, 2], [2, 1], [3, 3], [6, 2], [10, 2], [12, 1]], 19/671846400], [[[1, 2], [2, 1], [3, 3], [6, 2], [12, 1], [15, 1]], 19/33592320], [[[1, 2], [2, 1], [3, 3], [6, 2], [12, 1], [20, 1]], 19/22394880], [[[1, 2], [2, 1], [3, 3], [6, 2], [12, 1], [24, 1]], 667/26873856], [[[1, 2], [2, 1], [3, 3], [6, 2], [12, 1], [30, 1]], 19/33592320], [[[1, 2], [2, 1], [3, 3], [6, 3], [8, 1], [9, 1]], 1/8957952], [[[1, 2], [2, 1], [3, 3], [6, 3], [8, 1], [18, 1]], 1/8957952], [[[1, 2], [2, 1], [3, 3], [6, 3], [9, 1], [10, 1]], 1/11197440], [[[1, 2], [2, 1], [3, 3], [6, 3], [9, 1], [12, 1]], 19/80621568], [[[1, 2], [2, 1], [3, 3], [6, 3], [12, 1], [18, 1]], 19/60466176], [[[1, 2], [2, 1], [3, 3], [6, 4], [8, 1], [12, 1]], 91/4299816960], [[[1, 2], [2, 1], [3, 3], [7, 1], [9, 1], [12, 1]], 1/435456], [[[1, 2], [2, 1], [3, 3], [8, 1], [10, 2], [12, 1]], 1/16588800], [[[1, 2], [2, 1], [3, 3], [8, 1], [12, 1], [15, 1]], 1/829440], [[[1, 2], [2, 1], [3, 3], [8, 1], [12, 1], [20, 1]], 1/552960], [[[1, 2], [2, 1], [3, 3], [8, 1], [12, 1], [24, 1]], 1/663552], [[[1, 2], [2, 1], [3, 3], [8, 1], [12, 1], [30, 1]], 1/829440], [[[1, 2], [2, 1], [3, 3], [9, 1], [12, 1], [14, 1]], 1/870912], [[[1, 2], [2, 1], [3, 3], [9, 1], [12, 1], [18, 1]], 1/1119744], [[[1, 2], [2, 1], [3, 4], [4, 1], [5, 1], [6, 4]], 81811/1934917632000], [[[1, 2], [2, 1], [3, 4], [4, 1], [5, 1], [8, 2]], 1/2388787200], [[[1, 2], [2, 1], [3, 4], [4, 1], [5, 1], [10, 2]], 1/7464960000], [[[1, 2], [2, 1], [3, 4], [4, 1], [5, 1], [12, 2]], 271/3583180800], [[[1, 2], [2, 1], [3, 4], [4, 1], [5, 1], [15, 1]], 1/373248000], [[[1, 2], [2, 1], [3, 4], [4, 1], [5, 1], [20, 1]], 1/248832000], [[[1, 2], [2, 1], [3, 4], [4, 1], [5, 1], [24, 1]], 1/298598400], [[[1, 2], [2, 1], [3, 4], [4, 1], [5, 1], [30, 1]], 1/373248000], [[[1, 2], [2, 1], [3, 4], [4, 1], [5, 2], [8, 1]], 11/23887872000], [[[1, 2], [2, 1], [3, 4], [4, 1], [5, 2], [10, 1]], 1/7464960000], [[[1, 2], [2, 1], [3, 4], [4, 1], [5, 2], [12, 1]], 1/4478976000], [[[1, 2], [2, 1], [3, 4], [4, 1], [6, 2], [12, 2]], 6571/2149908480], [[[1, 2], [2, 1], [3, 4], [4, 1], [6, 3], [9, 1]], 25/13436928], [[[1, 2], [2, 1], [3, 4], [4, 1], [6, 4], [8, 1]], 899921/6191736422400], [[[1, 2], [2, 1], [3, 4], [4, 1], [6, 4], [10, 1]], 81811/1934917632000], [[[1, 2], [2, 1], [3, 4], [4, 1], [6, 4], [12, 1]], 665011/1160950579200], [[[1, 2], [2, 1], [3, 4], [4, 1], [7, 1], [14, 1]], 1/17418240], [[[1, 2], [2, 1], [3, 4], [4, 1], [8, 1], [10, 2]], 11/23887872000], [[[1, 2], [2, 1], [3, 4], [4, 1], [8, 1], [12, 2]], 2981/11466178560], [[[1, 2], [2, 1], [3, 4], [4, 1], [8, 1], [15, 1]], 11/1194393600], [[[1, 2], [2, 1], [3, 4], [4, 1], [8, 1], [16, 1]], 1/7962624], [[[1, 2], [2, 1], [3, 4], [4, 1], [8, 1], [20, 1]], 43/796262400], [[[1, 2], [2, 1], [3, 4], [4, 1], [8, 1], [24, 1]], 5/63700992], [[[1, 2], [2, 1], [3, 4], [4, 1], [8, 1], [30, 1]], 11/1194393600], [[[1, 2], [2, 1], [3, 4], [4, 1], [8, 2], [10, 1]], 1/2388787200], [[[1, 2], [2, 1], [3, 4], [4, 1], [8, 2], [12, 1]], 1/1433272320], [[[1, 2], [2, 1], [3, 4], [4, 1], [9, 1], [18, 1]], 1/22394880], [[[1, 2], [2, 1], [3, 4], [4, 1], [10, 1], [12, 2]], 271/3583180800], [[[1, 2], [2, 1], [3, 4], [4, 1], [10, 1], [15, 1]], 1/373248000], [[[1, 2], [2, 1], [3, 4], [4, 1], [10, 1], [20, 1]], 1/248832000], [[[1, 2], [2, 1], [3, 4], [4, 1], [10, 1], [24, 1]], 1/298598400], [[[1, 2], [2, 1], [3, 4], [4, 1], [10, 1], [30, 1]], 1/373248000], [[[1, 2], [2, 1], [3, 4], [4, 1], [10, 2], [12, 1]], 1/4478976000], [[[1, 2], [2, 1], [3, 4], [4, 1], [12, 1], [15, 1]], 1/223948800], [[[1, 2], [2, 1], [3, 4], [4, 1], [12, 1], [16, 1]], 1/29859840], [[[1, 2], [2, 1], [3, 4], [4, 1], [12, 1], [20, 1]], 1/29859840], [[[1, 2], [2, 1], [3, 4], [4, 1], [12, 1], [24, 1]], 7/179159040], [[[1, 2], [2, 1], [3, 4], [4, 1], [12, 1], [30, 1]], 1/223948800], [[[1, 2], [2, 1], [3, 4], [4, 2], [6, 1], [12, 2]], 91/1074954240], [[[1, 2], [2, 1], [3, 4], [4, 2], [6, 2], [9, 1]], 1/107495424], [[[1, 2], [2, 1], [3, 4], [4, 2], [6, 3], [12, 1]], 59131/58047528960], [[[1, 2], [2, 1], [3, 4], [4, 2], [7, 1], [12, 1]], 1/313528320], [[[1, 2], [2, 1], [3, 4], [4, 2], [9, 1], [12, 1]], 299/2418647040], [[[1, 2], [2, 1], [3, 4], [4, 2], [12, 1], [14, 1]], 1/627056640], [[[1, 2], [2, 1], [3, 4], [4, 2], [12, 1], [18, 1]], 1/806215680], [[[1, 2], [2, 1], [3, 4], [4, 3], [5, 1], [12, 1]], 1/895795200], [[[1, 2], [2, 1], [3, 4], [4, 3], [6, 1], [18, 1]], 1/12899450880], [[[1, 2], [2, 1], [3, 4], [4, 3], [6, 2], [12, 1]], 91/68797071360], [[[1, 2], [2, 1], [3, 4], [4, 3], [8, 1], [12, 1]], 7/573308928], [[[1, 2], [2, 1], [3, 4], [4, 3], [10, 1], [12, 1]], 1/895795200], [[[1, 2], [2, 1], [3, 4], [4, 4], [6, 1], [8, 1]], 1/687970713600], [[[1, 2], [2, 1], [3, 4], [4, 4], [6, 1], [10, 1]], 1/859963392000], [[[1, 2], [2, 1], [3, 4], [4, 4], [6, 1], [12, 1]], 91/687970713600], [[[1, 2], [2, 1], [3, 4], [5, 1], [6, 2], [9, 1]], 1/5598720], [[[1, 2], [2, 1], [3, 4], [5, 1], [9, 1], [12, 1]], 1/933120], [[[1, 2], [2, 1], [3, 4], [5, 2], [6, 1], [8, 1]], 1/8957952000], [[[1, 2], [2, 1], [3, 4], [5, 2], [6, 1], [10, 1]], 1/11197440000], [[[1, 2], [2, 1], [3, 4], [5, 2], [6, 1], [12, 1]], 91/8957952000], [[[1, 2], [2, 1], [3, 4], [6, 1], [7, 1], [18, 1]], 1/235146240], [[[1, 2], [2, 1], [3, 4], [6, 1], [8, 1], [10, 2]], 1/8957952000], [[[1, 2], [2, 1], [3, 4], [6, 1], [8, 1], [12, 2]], 271/4299816960], [[[1, 2], [2, 1], [3, 4], [6, 1], [8, 1], [15, 1]], 1/447897600], [[[1, 2], [2, 1], [3, 4], [6, 1], [8, 1], [20, 1]], 1/298598400], [[[1, 2], [2, 1], [3, 4], [6, 1], [8, 1], [24, 1]], 1/358318080], [[[1, 2], [2, 1], [3, 4], [6, 1], [8, 1], [30, 1]], 1/447897600], [[[1, 2], [2, 1], [3, 4], [6, 1], [8, 2], [10, 1]], 1/3583180800], [[[1, 2], [2, 1], [3, 4], [6, 1], [8, 2], [12, 1]], 91/2866544640], [[[1, 2], [2, 1], [3, 4], [6, 1], [9, 1], [18, 1]], 1121/453496320], [[[1, 2], [2, 1], [3, 4], [6, 1], [10, 1], [12, 2]], 271/5374771200], [[[1, 2], [2, 1], [3, 4], [6, 1], [10, 1], [15, 1]], 1/559872000], [[[1, 2], [2, 1], [3, 4], [6, 1], [10, 1], [20, 1]], 1/373248000], [[[1, 2], [2, 1], [3, 4], [6, 1], [10, 1], [24, 1]], 1/447897600], [[[1, 2], [2, 1], [3, 4], [6, 1], [10, 1], [30, 1]], 1/559872000], [[[1, 2], [2, 1], [3, 4], [6, 1], [10, 2], [12, 1]], 91/8957952000], [[[1, 2], [2, 1], [3, 4], [6, 1], [12, 1], [15, 1]], 91/447897600], [[[1, 2], [2, 1], [3, 4], [6, 1], [12, 1], [20, 1]], 91/298598400], [[[1, 2], [2, 1], [3, 4], [6, 1], [12, 1], [24, 1]], 91/358318080], [[[1, 2], [2, 1], [3, 4], [6, 1], [12, 1], [30, 1]], 91/447897600], [[[1, 2], [2, 1], [3, 4], [6, 1], [14, 1], [18, 1]], 1/470292480], [[[1, 2], [2, 1], [3, 4], [6, 2], [7, 1], [12, 1]], 13/179159040], [[[1, 2], [2, 1], [3, 4], [6, 2], [8, 1], [9, 1]], 1/8957952], [[[1, 2], [2, 1], [3, 4], [6, 2], [8, 1], [18, 1]], 1/806215680], [[[1, 2], [2, 1], [3, 4], [6, 2], [9, 1], [12, 1]], 851/2418647040], [[[1, 2], [2, 1], [3, 4], [6, 2], [10, 1], [18, 1]], 1/1007769600], [[[1, 2], [2, 1], [3, 4], [6, 2], [12, 1], [14, 1]], 13/358318080], [[[1, 2], [2, 1], [3, 4], [6, 2], [12, 1], [18, 1]], 91/644972544], [[[1, 2], [2, 1], [3, 4], [6, 3], [8, 1], [12, 1]], 91/4299816960], [[[1, 2], [2, 1], [3, 4], [6, 3], [10, 1], [12, 1]], 91/5374771200], [[[1, 2], [2, 1], [3, 4], [8, 1], [9, 1], [12, 1]], 1/1492992], [[[1, 2], [2, 1], [3, 5], [4, 1], [5, 1], [9, 1]], 1/671846400], [[[1, 2], [2, 1], [3, 5], [4, 1], [5, 2], [6, 1]], 1/13436928000], [[[1, 2], [2, 1], [3, 5], [4, 1], [6, 1], [8, 2]], 1/4299816960], [[[1, 2], [2, 1], [3, 5], [4, 1], [6, 1], [10, 2]], 1/13436928000], [[[1, 2], [2, 1], [3, 5], [4, 1], [6, 1], [12, 2]], 307/6449725440], [[[1, 2], [2, 1], [3, 5], [4, 1], [6, 1], [15, 1]], 1/671846400], [[[1, 2], [2, 1], [3, 5], [4, 1], [6, 1], [16, 1]], 1/29859840], [[[1, 2], [2, 1], [3, 5], [4, 1], [6, 1], [20, 1]], 1/447897600], [[[1, 2], [2, 1], [3, 5], [4, 1], [6, 1], [24, 1]], 19/537477120], [[[1, 2], [2, 1], [3, 5], [4, 1], [6, 1], [30, 1]], 1/671846400], [[[1, 2], [2, 1], [3, 5], [4, 1], [6, 2], [18, 1]], 1/1209323520], [[[1, 2], [2, 1], [3, 5], [4, 1], [6, 3], [12, 1]], 2251/6449725440], [[[1, 2], [2, 1], [3, 5], [4, 1], [8, 1], [9, 1]], 11/2149908480], [[[1, 2], [2, 1], [3, 5], [4, 1], [9, 1], [10, 1]], 1/671846400], [[[1, 2], [2, 1], [3, 5], [4, 1], [9, 1], [12, 1]], 1/403107840], [[[1, 2], [2, 1], [3, 5], [4, 2], [5, 1], [12, 1]], 1/671846400], [[[1, 2], [2, 1], [3, 5], [4, 2], [6, 1], [18, 1]], 1/9674588160], [[[1, 2], [2, 1], [3, 5], [4, 2], [6, 2], [12, 1]], 4733/30958682112], [[[1, 2], [2, 1], [3, 5], [4, 2], [8, 1], [12, 1]], 1/1074954240], [[[1, 2], [2, 1], [3, 5], [4, 3], [6, 1], [8, 1]], 1/358318080], [[[1, 2], [2, 1], [3, 5], [4, 3], [6, 1], [12, 1]], 19/1612431360], [[[1, 2], [2, 1], [3, 5], [5, 1], [6, 1], [18, 1]], 1/503884800], [[[1, 2], [2, 1], [3, 5], [5, 1], [6, 2], [12, 1]], 91/2687385600], [[[1, 2], [2, 1], [3, 5], [6, 1], [8, 1], [9, 1]], 1/806215680], [[[1, 2], [2, 1], [3, 5], [6, 1], [8, 1], [18, 1]], 1/806215680], [[[1, 2], [2, 1], [3, 5], [6, 1], [9, 1], [10, 1]], 1/1007769600], [[[1, 2], [2, 1], [3, 5], [6, 1], [9, 1], [12, 1]], 91/806215680], [[[1, 2], [2, 1], [3, 5], [6, 1], [12, 1], [18, 1]], 11/604661760], [[[1, 2], [2, 1], [3, 5], [6, 2], [8, 1], [12, 1]], 91/4299816960], [[[1, 2], [2, 1], [3, 6], [4, 1], [5, 1], [6, 2]], 1/21499084800], [[[1, 2], [2, 1], [3, 6], [4, 1], [5, 1], [12, 1]], 1/3583180800], [[[1, 2], [2, 1], [3, 6], [4, 1], [6, 1], [9, 1]], 1/1209323520], [[[1, 2], [2, 1], [3, 6], [4, 1], [6, 2], [8, 1]], 11/68797071360], [[[1, 2], [2, 1], [3, 6], [4, 1], [6, 2], [10, 1]], 1/21499084800], [[[1, 2], [2, 1], [3, 6], [4, 1], [6, 2], [12, 1]], 73/12899450880], [[[1, 2], [2, 1], [3, 6], [4, 1], [8, 1], [12, 1]], 11/11466178560], [[[1, 2], [2, 1], [3, 6], [4, 1], [10, 1], [12, 1]], 1/3583180800], [[[1, 2], [2, 1], [3, 6], [4, 2], [6, 1], [12, 1]], 1/6449725440], [[[1, 2], [2, 1], [3, 6], [6, 1], [8, 1], [12, 1]], 1/4299816960], [[[1, 2], [2, 1], [3, 6], [6, 1], [10, 1], [12, 1]], 1/5374771200], [[[1, 2], [2, 1], [3, 7], [4, 1], [6, 1], [12, 1]], 1/6449725440], [[[1, 2], [2, 1], [4, 1], [5, 1], [6, 2], [12, 3]], 1/6635520], [[[1, 2], [2, 1], [4, 1], [5, 1], [6, 2], [18, 2]], 1/466560], [[[1, 2], [2, 1], [4, 1], [5, 1], [6, 4], [8, 2]], 1/2388787200], [[[1, 2], [2, 1], [4, 1], [5, 1], [6, 4], [10, 2]], 1/7464960000], [[[1, 2], [2, 1], [4, 1], [5, 1], [6, 4], [12, 2]], 271/3583180800], [[[1, 2], [2, 1], [4, 1], [5, 1], [6, 4], [15, 1]], 1/373248000], [[[1, 2], [2, 1], [4, 1], [5, 1], [6, 4], [20, 1]], 1/248832000], [[[1, 2], [2, 1], [4, 1], [5, 1], [6, 4], [24, 1]], 1/298598400], [[[1, 2], [2, 1], [4, 1], [5, 1], [6, 4], [30, 1]], 1/373248000], [[[1, 2], [2, 1], [4, 1], [5, 1], [6, 5], [18, 1]], 1/671846400], [[[1, 2], [2, 1], [4, 1], [5, 1], [6, 6], [12, 1]], 1/3583180800], [[[1, 2], [2, 1], [4, 1], [5, 1], [8, 1], [10, 3]], 1/96000], [[[1, 2], [2, 1], [4, 1], [5, 1], [8, 2], [10, 2]], 1/9216000], [[[1, 2], [2, 1], [4, 1], [5, 1], [8, 2], [12, 2]], 1/4423680], [[[1, 2], [2, 1], [4, 1], [5, 1], [8, 2], [15, 1]], 1/460800], [[[1, 2], [2, 1], [4, 1], [5, 1], [8, 2], [20, 1]], 1/307200], [[[1, 2], [2, 1], [4, 1], [5, 1], [8, 2], [24, 1]], 11/122880], [[[1, 2], [2, 1], [4, 1], [5, 1], [8, 2], [30, 1]], 1/460800], [[[1, 2], [2, 1], [4, 1], [5, 1], [8, 3], [10, 1]], 1/30720], [[[1, 2], [2, 1], [4, 1], [5, 1], [10, 2], [12, 2]], 1/13824000], [[[1, 2], [2, 1], [4, 1], [5, 1], [10, 2], [15, 1]], 1/1440000], [[[1, 2], [2, 1], [4, 1], [5, 1], [10, 2], [20, 1]], 1/960000], [[[1, 2], [2, 1], [4, 1], [5, 1], [10, 2], [24, 1]], 1/1152000], [[[1, 2], [2, 1], [4, 1], [5, 1], [10, 2], [30, 1]], 1/1440000], [[[1, 2], [2, 1], [4, 1], [5, 1], [12, 1], [36, 1]], 1/8640], [[[1, 2], [2, 1], [4, 1], [5, 1], [12, 2], [15, 1]], 1/691200], [[[1, 2], [2, 1], [4, 1], [5, 1], [12, 2], [20, 1]], 1/460800], [[[1, 2], [2, 1], [4, 1], [5, 1], [12, 2], [24, 1]], 13/552960], [[[1, 2], [2, 1], [4, 1], [5, 1], [12, 2], [30, 1]], 1/691200], [[[1, 2], [2, 1], [4, 1], [5, 1], [15, 1], [20, 1]], 1/48000], [[[1, 2], [2, 1], [4, 1], [5, 1], [15, 1], [24, 1]], 1/57600], [[[1, 2], [2, 1], [4, 1], [5, 1], [15, 1], [30, 1]], 1/4500], [[[1, 2], [2, 1], [4, 1], [5, 1], [20, 1], [24, 1]], 1/38400], [[[1, 2], [2, 1], [4, 1], [5, 1], [20, 1], [30, 1]], 1/48000], [[[1, 2], [2, 1], [4, 1], [5, 1], [24, 1], [30, 1]], 1/57600], [[[1, 2], [2, 1], [4, 1], [5, 2], [6, 2], [12, 2]], 1/8294400], [[[1, 2], [2, 1], [4, 1], [5, 2], [6, 4], [8, 1]], 11/23887872000], [[[1, 2], [2, 1], [4, 1], [5, 2], [6, 4], [10, 1]], 1/7464960000], [[[1, 2], [2, 1], [4, 1], [5, 2], [6, 4], [12, 1]], 1/4478976000], [[[1, 2], [2, 1], [4, 1], [5, 2], [7, 1], [14, 1]], 1/67200], [[[1, 2], [2, 1], [4, 1], [5, 2], [8, 1], [10, 2]], 3311/92160000], [[[1, 2], [2, 1], [4, 1], [5, 2], [8, 1], [12, 2]], 11/44236800], [[[1, 2], [2, 1], [4, 1], [5, 2], [8, 1], [15, 1]], 11/4608000], [[[1, 2], [2, 1], [4, 1], [5, 2], [8, 1], [16, 1]], 1/30720], [[[1, 2], [2, 1], [4, 1], [5, 2], [8, 1], [20, 1]], 43/3072000], [[[1, 2], [2, 1], [4, 1], [5, 2], [8, 1], [24, 1]], 1/49152], [[[1, 2], [2, 1], [4, 1], [5, 2], [8, 1], [30, 1]], 11/4608000], [[[1, 2], [2, 1], [4, 1], [5, 2], [8, 2], [10, 1]], 1/9216000], [[[1, 2], [2, 1], [4, 1], [5, 2], [8, 2], [12, 1]], 1/5529600], [[[1, 2], [2, 1], [4, 1], [5, 2], [9, 1], [18, 1]], 1/86400], [[[1, 2], [2, 1], [4, 1], [5, 2], [10, 1], [12, 2]], 1/13824000], [[[1, 2], [2, 1], [4, 1], [5, 2], [10, 1], [15, 1]], 1/1440000], [[[1, 2], [2, 1], [4, 1], [5, 2], [10, 1], [20, 1]], 1/960000], [[[1, 2], [2, 1], [4, 1], [5, 2], [10, 1], [24, 1]], 1/1152000], [[[1, 2], [2, 1], [4, 1], [5, 2], [10, 1], [30, 1]], 1/1440000], [[[1, 2], [2, 1], [4, 1], [5, 2], [10, 2], [12, 1]], 301/17280000], [[[1, 2], [2, 1], [4, 1], [5, 2], [12, 1], [15, 1]], 1/864000], [[[1, 2], [2, 1], [4, 1], [5, 2], [12, 1], [16, 1]], 1/115200], [[[1, 2], [2, 1], [4, 1], [5, 2], [12, 1], [20, 1]], 1/115200], [[[1, 2], [2, 1], [4, 1], [5, 2], [12, 1], [24, 1]], 7/691200], [[[1, 2], [2, 1], [4, 1], [5, 2], [12, 1], [30, 1]], 1/864000], [[[1, 2], [2, 1], [4, 1], [5, 3], [6, 1], [18, 1]], 1/2592000], [[[1, 2], [2, 1], [4, 1], [5, 3], [6, 2], [12, 1]], 1/13824000], [[[1, 2], [2, 1], [4, 1], [5, 3], [8, 1], [10, 1]], 1/96000], [[[1, 2], [2, 1], [4, 1], [6, 1], [8, 3], [18, 1]], 1/98304], [[[1, 2], [2, 1], [4, 1], [6, 1], [9, 1], [18, 2]], 1/7776], [[[1, 2], [2, 1], [4, 1], [6, 1], [10, 3], [18, 1]], 1/2592000], [[[1, 2], [2, 1], [4, 1], [6, 1], [12, 3], [18, 1]], 7/2239488], [[[1, 2], [2, 1], [4, 1], [6, 1], [18, 1], [28, 1]], 1/6048], [[[1, 2], [2, 1], [4, 1], [6, 1], [18, 1], [36, 1]], 1/7776], [[[1, 2], [2, 1], [4, 1], [6, 2], [8, 1], [12, 3]], 11/21233664], [[[1, 2], [2, 1], [4, 1], [6, 2], [8, 1], [18, 2]], 11/1492992], [[[1, 2], [2, 1], [4, 1], [6, 2], [8, 2], [12, 2]], 1/2654208], [[[1, 2], [2, 1], [4, 1], [6, 2], [8, 3], [12, 1]], 1/524288], [[[1, 2], [2, 1], [4, 1], [6, 2], [10, 1], [12, 3]], 1/6635520], [[[1, 2], [2, 1], [4, 1], [6, 2], [10, 1], [18, 2]], 1/466560], [[[1, 2], [2, 1], [4, 1], [6, 2], [10, 2], [12, 2]], 1/8294400], [[[1, 2], [2, 1], [4, 1], [6, 2], [10, 3], [12, 1]], 1/13824000], [[[1, 2], [2, 1], [4, 1], [6, 2], [12, 1], [18, 2]], 1/279936], [[[1, 2], [2, 1], [4, 1], [6, 2], [12, 1], [28, 1]], 1/32256], [[[1, 2], [2, 1], [4, 1], [6, 2], [12, 1], [36, 1]], 1/41472], [[[1, 2], [2, 1], [4, 1], [6, 2], [12, 2], [15, 1]], 1/414720], [[[1, 2], [2, 1], [4, 1], [6, 2], [12, 2], [16, 1]], 1/55296], [[[1, 2], [2, 1], [4, 1], [6, 2], [12, 2], [20, 1]], 1/55296], [[[1, 2], [2, 1], [4, 1], [6, 2], [12, 2], [24, 1]], 7/331776], [[[1, 2], [2, 1], [4, 1], [6, 2], [12, 2], [30, 1]], 1/414720], [[[1, 2], [2, 1], [4, 1], [6, 3], [12, 2], [18, 1]], 1/746496], [[[1, 2], [2, 1], [4, 1], [6, 4], [7, 1], [14, 1]], 1/17418240], [[[1, 2], [2, 1], [4, 1], [6, 4], [8, 1], [10, 2]], 11/23887872000], [[[1, 2], [2, 1], [4, 1], [6, 4], [8, 1], [12, 2]], 2981/11466178560], [[[1, 2], [2, 1], [4, 1], [6, 4], [8, 1], [15, 1]], 11/1194393600], [[[1, 2], [2, 1], [4, 1], [6, 4], [8, 1], [16, 1]], 1/7962624], [[[1, 2], [2, 1], [4, 1], [6, 4], [8, 1], [20, 1]], 43/796262400], [[[1, 2], [2, 1], [4, 1], [6, 4], [8, 1], [24, 1]], 5/63700992], [[[1, 2], [2, 1], [4, 1], [6, 4], [8, 1], [30, 1]], 11/1194393600], [[[1, 2], [2, 1], [4, 1], [6, 4], [8, 2], [10, 1]], 1/2388787200], [[[1, 2], [2, 1], [4, 1], [6, 4], [8, 2], [12, 1]], 1/1433272320], [[[1, 2], [2, 1], [4, 1], [6, 4], [9, 1], [18, 1]], 1/22394880], [[[1, 2], [2, 1], [4, 1], [6, 4], [10, 1], [12, 2]], 271/3583180800], [[[1, 2], [2, 1], [4, 1], [6, 4], [10, 1], [15, 1]], 1/373248000], [[[1, 2], [2, 1], [4, 1], [6, 4], [10, 1], [20, 1]], 1/248832000], [[[1, 2], [2, 1], [4, 1], [6, 4], [10, 1], [24, 1]], 1/298598400], [[[1, 2], [2, 1], [4, 1], [6, 4], [10, 1], [30, 1]], 1/373248000], [[[1, 2], [2, 1], [4, 1], [6, 4], [10, 2], [12, 1]], 1/4478976000], [[[1, 2], [2, 1], [4, 1], [6, 4], [12, 1], [15, 1]], 1/223948800], [[[1, 2], [2, 1], [4, 1], [6, 4], [12, 1], [16, 1]], 1/29859840], [[[1, 2], [2, 1], [4, 1], [6, 4], [12, 1], [20, 1]], 1/29859840], [[[1, 2], [2, 1], [4, 1], [6, 4], [12, 1], [24, 1]], 7/179159040], [[[1, 2], [2, 1], [4, 1], [6, 4], [12, 1], [30, 1]], 1/223948800], [[[1, 2], [2, 1], [4, 1], [6, 5], [8, 1], [18, 1]], 11/2149908480], [[[1, 2], [2, 1], [4, 1], [6, 5], [10, 1], [18, 1]], 1/671846400], [[[1, 2], [2, 1], [4, 1], [6, 5], [12, 1], [18, 1]], 1/403107840], [[[1, 2], [2, 1], [4, 1], [6, 6], [8, 1], [12, 1]], 11/11466178560], [[[1, 2], [2, 1], [4, 1], [6, 6], [10, 1], [12, 1]], 1/3583180800], [[[1, 2], [2, 1], [4, 1], [7, 1], [8, 2], [14, 1]], 1/21504], [[[1, 2], [2, 1], [4, 1], [7, 1], [10, 2], [14, 1]], 1/67200], [[[1, 2], [2, 1], [4, 1], [7, 1], [12, 2], [14, 1]], 1/32256], [[[1, 2], [2, 1], [4, 1], [7, 1], [14, 1], [15, 1]], 1/3360], [[[1, 2], [2, 1], [4, 1], [7, 1], [14, 1], [20, 1]], 1/2240], [[[1, 2], [2, 1], [4, 1], [7, 1], [14, 1], [24, 1]], 1/2688], [[[1, 2], [2, 1], [4, 1], [7, 1], [14, 1], [30, 1]], 1/3360], [[[1, 2], [2, 1], [4, 1], [8, 1], [10, 2], [12, 2]], 11/44236800], [[[1, 2], [2, 1], [4, 1], [8, 1], [10, 2], [15, 1]], 11/4608000], [[[1, 2], [2, 1], [4, 1], [8, 1], [10, 2], [16, 1]], 1/30720], [[[1, 2], [2, 1], [4, 1], [8, 1], [10, 2], [20, 1]], 43/3072000], [[[1, 2], [2, 1], [4, 1], [8, 1], [10, 2], [24, 1]], 1/49152], [[[1, 2], [2, 1], [4, 1], [8, 1], [10, 2], [30, 1]], 11/4608000], [[[1, 2], [2, 1], [4, 1], [8, 1], [12, 1], [36, 1]], 11/27648], [[[1, 2], [2, 1], [4, 1], [8, 1], [12, 2], [15, 1]], 11/2211840], [[[1, 2], [2, 1], [4, 1], [8, 1], [12, 2], [16, 1]], 5/73728], [[[1, 2], [2, 1], [4, 1], [8, 1], [12, 2], [20, 1]], 43/1474560], [[[1, 2], [2, 1], [4, 1], [8, 1], [12, 2], [24, 1]], 23/196608], [[[1, 2], [2, 1], [4, 1], [8, 1], [12, 2], [30, 1]], 11/2211840], [[[1, 2], [2, 1], [4, 1], [8, 1], [15, 1], [16, 1]], 1/1536], [[[1, 2], [2, 1], [4, 1], [8, 1], [15, 1], [20, 1]], 43/153600], [[[1, 2], [2, 1], [4, 1], [8, 1], [15, 1], [24, 1]], 5/12288], [[[1, 2], [2, 1], [4, 1], [8, 1], [15, 1], [30, 1]], 11/14400], [[[1, 2], [2, 1], [4, 1], [8, 1], [16, 1], [20, 1]], 1/1024], [[[1, 2], [2, 1], [4, 1], [8, 1], [16, 1], [24, 1]], 5/6144], [[[1, 2], [2, 1], [4, 1], [8, 1], [16, 1], [30, 1]], 1/1536], [[[1, 2], [2, 1], [4, 1], [8, 1], [20, 1], [24, 1]], 107/122880], [[[1, 2], [2, 1], [4, 1], [8, 1], [20, 1], [30, 1]], 43/153600], [[[1, 2], [2, 1], [4, 1], [8, 1], [24, 1], [30, 1]], 5/12288], [[[1, 2], [2, 1], [4, 1], [8, 2], [9, 1], [18, 1]], 1/27648], [[[1, 2], [2, 1], [4, 1], [8, 2], [10, 1], [12, 2]], 1/4423680], [[[1, 2], [2, 1], [4, 1], [8, 2], [10, 1], [15, 1]], 1/460800], [[[1, 2], [2, 1], [4, 1], [8, 2], [10, 1], [20, 1]], 1/307200], [[[1, 2], [2, 1], [4, 1], [8, 2], [10, 1], [24, 1]], 11/122880], [[[1, 2], [2, 1], [4, 1], [8, 2], [10, 1], [30, 1]], 1/460800], [[[1, 2], [2, 1], [4, 1], [8, 2], [10, 2], [12, 1]], 1/5529600], [[[1, 2], [2, 1], [4, 1], [8, 2], [12, 1], [15, 1]], 1/276480], [[[1, 2], [2, 1], [4, 1], [8, 2], [12, 1], [16, 1]], 1/36864], [[[1, 2], [2, 1], [4, 1], [8, 2], [12, 1], [20, 1]], 1/36864], [[[1, 2], [2, 1], [4, 1], [8, 2], [12, 1], [24, 1]], 13/73728], [[[1, 2], [2, 1], [4, 1], [8, 2], [12, 1], [30, 1]], 1/276480], [[[1, 2], [2, 1], [4, 1], [9, 1], [10, 2], [18, 1]], 1/86400], [[[1, 2], [2, 1], [4, 1], [9, 1], [12, 2], [18, 1]], 1/41472], [[[1, 2], [2, 1], [4, 1], [9, 1], [15, 1], [18, 1]], 1/4320], [[[1, 2], [2, 1], [4, 1], [9, 1], [18, 1], [20, 1]], 1/2880], [[[1, 2], [2, 1], [4, 1], [9, 1], [18, 1], [24, 1]], 1/3456], [[[1, 2], [2, 1], [4, 1], [9, 1], [18, 1], [30, 1]], 1/4320], [[[1, 2], [2, 1], [4, 1], [10, 1], [12, 1], [36, 1]], 1/8640], [[[1, 2], [2, 1], [4, 1], [10, 1], [12, 2], [15, 1]], 1/691200], [[[1, 2], [2, 1], [4, 1], [10, 1], [12, 2], [20, 1]], 1/460800], [[[1, 2], [2, 1], [4, 1], [10, 1], [12, 2], [24, 1]], 13/552960], [[[1, 2], [2, 1], [4, 1], [10, 1], [12, 2], [30, 1]], 1/691200], [[[1, 2], [2, 1], [4, 1], [10, 1], [15, 1], [20, 1]], 1/48000], [[[1, 2], [2, 1], [4, 1], [10, 1], [15, 1], [24, 1]], 1/57600], [[[1, 2], [2, 1], [4, 1], [10, 1], [15, 1], [30, 1]], 1/4500], [[[1, 2], [2, 1], [4, 1], [10, 1], [20, 1], [24, 1]], 1/38400], [[[1, 2], [2, 1], [4, 1], [10, 1], [20, 1], [30, 1]], 1/48000], [[[1, 2], [2, 1], [4, 1], [10, 1], [24, 1], [30, 1]], 1/57600], [[[1, 2], [2, 1], [4, 1], [10, 2], [12, 1], [15, 1]], 1/864000], [[[1, 2], [2, 1], [4, 1], [10, 2], [12, 1], [16, 1]], 1/115200], [[[1, 2], [2, 1], [4, 1], [10, 2], [12, 1], [20, 1]], 1/115200], [[[1, 2], [2, 1], [4, 1], [10, 2], [12, 1], [24, 1]], 7/691200], [[[1, 2], [2, 1], [4, 1], [10, 2], [12, 1], [30, 1]], 1/864000], [[[1, 2], [2, 1], [4, 1], [12, 1], [15, 1], [16, 1]], 1/5760], [[[1, 2], [2, 1], [4, 1], [12, 1], [15, 1], [20, 1]], 1/5760], [[[1, 2], [2, 1], [4, 1], [12, 1], [15, 1], [24, 1]], 7/34560], [[[1, 2], [2, 1], [4, 1], [12, 1], [15, 1], [30, 1]], 1/2700], [[[1, 2], [2, 1], [4, 1], [12, 1], [16, 1], [20, 1]], 1/3840], [[[1, 2], [2, 1], [4, 1], [12, 1], [16, 1], [24, 1]], 1/4608], [[[1, 2], [2, 1], [4, 1], [12, 1], [16, 1], [30, 1]], 1/5760], [[[1, 2], [2, 1], [4, 1], [12, 1], [20, 1], [24, 1]], 11/23040], [[[1, 2], [2, 1], [4, 1], [12, 1], [20, 1], [30, 1]], 1/5760], [[[1, 2], [2, 1], [4, 1], [12, 1], [24, 1], [30, 1]], 7/34560], [[[1, 2], [2, 1], [4, 2], [5, 2], [6, 1], [12, 2]], 1/4147200], [[[1, 2], [2, 1], [4, 2], [5, 2], [6, 3], [12, 1]], 1/223948800], [[[1, 2], [2, 1], [4, 2], [5, 2], [7, 1], [12, 1]], 1/1209600], [[[1, 2], [2, 1], [4, 2], [5, 2], [9, 1], [12, 1]], 1/2332800], [[[1, 2], [2, 1], [4, 2], [5, 2], [12, 1], [14, 1]], 1/2419200], [[[1, 2], [2, 1], [4, 2], [5, 2], [12, 1], [18, 1]], 1/3110400], [[[1, 2], [2, 1], [4, 2], [6, 1], [8, 1], [12, 3]], 7/5971968], [[[1, 2], [2, 1], [4, 2], [6, 1], [8, 1], [28, 1]], 1/5376], [[[1, 2], [2, 1], [4, 2], [6, 1], [8, 1], [36, 1]], 1/20736], [[[1, 2], [2, 1], [4, 2], [6, 1], [8, 2], [12, 2]], 13/1327104], [[[1, 2], [2, 1], [4, 2], [6, 1], [8, 2], [16, 1]], 1/24576], [[[1, 2], [2, 1], [4, 2], [6, 1], [8, 3], [12, 1]], 13/1327104], [[[1, 2], [2, 1], [4, 2], [6, 1], [10, 1], [12, 3]], 7/7464960], [[[1, 2], [2, 1], [4, 2], [6, 1], [10, 1], [28, 1]], 1/6720], [[[1, 2], [2, 1], [4, 2], [6, 1], [10, 1], [36, 1]], 1/25920], [[[1, 2], [2, 1], [4, 2], [6, 1], [10, 2], [12, 2]], 1/4147200], [[[1, 2], [2, 1], [4, 2], [6, 1], [10, 3], [12, 1]], 1/5184000], [[[1, 2], [2, 1], [4, 2], [6, 1], [12, 1], [18, 2]], 1/279936], [[[1, 2], [2, 1], [4, 2], [6, 1], [12, 1], [28, 1]], 1/5376], [[[1, 2], [2, 1], [4, 2], [6, 1], [12, 1], [36, 1]], 1/20736], [[[1, 2], [2, 1], [4, 2], [6, 1], [12, 2], [15, 1]], 1/207360], [[[1, 2], [2, 1], [4, 2], [6, 1], [12, 2], [20, 1]], 13/138240], [[[1, 2], [2, 1], [4, 2], [6, 1], [12, 2], [24, 1]], 7/165888], [[[1, 2], [2, 1], [4, 2], [6, 1], [12, 2], [30, 1]], 1/207360], [[[1, 2], [2, 1], [4, 2], [6, 2], [7, 1], [12, 2]], 1/580608], [[[1, 2], [2, 1], [4, 2], [6, 2], [9, 1], [12, 2]], 1/1119744], [[[1, 2], [2, 1], [4, 2], [6, 2], [12, 2], [14, 1]], 1/1161216], [[[1, 2], [2, 1], [4, 2], [6, 2], [12, 2], [18, 1]], 5/1492992], [[[1, 2], [2, 1], [4, 2], [6, 3], [8, 1], [12, 2]], 1/1990656], [[[1, 2], [2, 1], [4, 2], [6, 3], [8, 1], [16, 1]], 1/1327104], [[[1, 2], [2, 1], [4, 2], [6, 3], [8, 2], [12, 1]], 13/71663616], [[[1, 2], [2, 1], [4, 2], [6, 3], [10, 1], [12, 2]], 1/2488320], [[[1, 2], [2, 1], [4, 2], [6, 3], [10, 2], [12, 1]], 1/223948800], [[[1, 2], [2, 1], [4, 2], [6, 3], [12, 1], [15, 1]], 1/11197440], [[[1, 2], [2, 1], [4, 2], [6, 3], [12, 1], [20, 1]], 13/7464960], [[[1, 2], [2, 1], [4, 2], [6, 3], [12, 1], [24, 1]], 7/8957952], [[[1, 2], [2, 1], [4, 2], [6, 3], [12, 1], [30, 1]], 1/11197440], [[[1, 2], [2, 1], [4, 2], [6, 4], [7, 1], [12, 1]], 1/313528320], [[[1, 2], [2, 1], [4, 2], [6, 4], [9, 1], [12, 1]], 1/604661760], [[[1, 2], [2, 1], [4, 2], [6, 4], [12, 1], [14, 1]], 1/627056640], [[[1, 2], [2, 1], [4, 2], [6, 4], [12, 1], [18, 1]], 41/806215680], [[[1, 2], [2, 1], [4, 2], [6, 5], [8, 1], [12, 1]], 1/1074954240], [[[1, 2], [2, 1], [4, 2], [6, 5], [10, 1], [12, 1]], 1/1343692800], [[[1, 2], [2, 1], [4, 2], [7, 1], [8, 1], [16, 1]], 1/7168], [[[1, 2], [2, 1], [4, 2], [7, 1], [8, 2], [12, 1]], 13/387072], [[[1, 2], [2, 1], [4, 2], [7, 1], [10, 2], [12, 1]], 1/1209600], [[[1, 2], [2, 1], [4, 2], [7, 1], [12, 1], [15, 1]], 1/60480], [[[1, 2], [2, 1], [4, 2], [7, 1], [12, 1], [20, 1]], 13/40320], [[[1, 2], [2, 1], [4, 2], [7, 1], [12, 1], [24, 1]], 1/6912], [[[1, 2], [2, 1], [4, 2], [7, 1], [12, 1], [30, 1]], 1/60480], [[[1, 2], [2, 1], [4, 2], [8, 1], [9, 1], [16, 1]], 1/13824], [[[1, 2], [2, 1], [4, 2], [8, 1], [14, 1], [16, 1]], 1/14336], [[[1, 2], [2, 1], [4, 2], [8, 1], [16, 1], [18, 1]], 1/18432], [[[1, 2], [2, 1], [4, 2], [8, 2], [9, 1], [12, 1]], 13/746496], [[[1, 2], [2, 1], [4, 2], [8, 2], [12, 1], [14, 1]], 13/774144], [[[1, 2], [2, 1], [4, 2], [8, 2], [12, 1], [18, 1]], 13/995328], [[[1, 2], [2, 1], [4, 2], [9, 1], [10, 2], [12, 1]], 1/2332800], [[[1, 2], [2, 1], [4, 2], [9, 1], [12, 1], [15, 1]], 1/116640], [[[1, 2], [2, 1], [4, 2], [9, 1], [12, 1], [20, 1]], 13/77760], [[[1, 2], [2, 1], [4, 2], [9, 1], [12, 1], [24, 1]], 7/93312], [[[1, 2], [2, 1], [4, 2], [9, 1], [12, 1], [30, 1]], 1/116640], [[[1, 2], [2, 1], [4, 2], [10, 2], [12, 1], [14, 1]], 1/2419200], [[[1, 2], [2, 1], [4, 2], [10, 2], [12, 1], [18, 1]], 1/3110400], [[[1, 2], [2, 1], [4, 2], [12, 1], [14, 1], [15, 1]], 1/120960], [[[1, 2], [2, 1], [4, 2], [12, 1], [14, 1], [20, 1]], 13/80640], [[[1, 2], [2, 1], [4, 2], [12, 1], [14, 1], [24, 1]], 1/13824], [[[1, 2], [2, 1], [4, 2], [12, 1], [14, 1], [30, 1]], 1/120960], [[[1, 2], [2, 1], [4, 2], [12, 1], [15, 1], [18, 1]], 1/155520], [[[1, 2], [2, 1], [4, 2], [12, 1], [18, 1], [20, 1]], 13/103680], [[[1, 2], [2, 1], [4, 2], [12, 1], [18, 1], [24, 1]], 7/124416], [[[1, 2], [2, 1], [4, 2], [12, 1], [18, 1], [30, 1]], 1/155520], [[[1, 2], [2, 1], [4, 3], [5, 1], [6, 2], [12, 2]], 1/1658880], [[[1, 2], [2, 1], [4, 3], [5, 1], [6, 4], [12, 1]], 1/895795200], [[[1, 2], [2, 1], [4, 3], [5, 1], [8, 1], [16, 1]], 1/20480], [[[1, 2], [2, 1], [4, 3], [5, 1], [8, 2], [12, 1]], 13/1105920], [[[1, 2], [2, 1], [4, 3], [5, 1], [10, 2], [12, 1]], 1/3456000], [[[1, 2], [2, 1], [4, 3], [5, 1], [12, 1], [15, 1]], 1/172800], [[[1, 2], [2, 1], [4, 3], [5, 1], [12, 1], [20, 1]], 13/115200], [[[1, 2], [2, 1], [4, 3], [5, 1], [12, 1], [24, 1]], 7/138240], [[[1, 2], [2, 1], [4, 3], [5, 1], [12, 1], [30, 1]], 1/172800], [[[1, 2], [2, 1], [4, 3], [5, 2], [6, 1], [18, 1]], 1/49766400], [[[1, 2], [2, 1], [4, 3], [5, 2], [6, 2], [12, 1]], 1/265420800], [[[1, 2], [2, 1], [4, 3], [5, 2], [8, 1], [12, 1]], 7/2211840], [[[1, 2], [2, 1], [4, 3], [5, 2], [10, 1], [12, 1]], 1/3456000], [[[1, 2], [2, 1], [4, 3], [6, 1], [8, 2], [18, 1]], 49/15925248], [[[1, 2], [2, 1], [4, 3], [6, 1], [10, 2], [18, 1]], 1/49766400], [[[1, 2], [2, 1], [4, 3], [6, 1], [12, 2], [18, 1]], 385/23887872], [[[1, 2], [2, 1], [4, 3], [6, 1], [15, 1], [18, 1]], 1/2488320], [[[1, 2], [2, 1], [4, 3], [6, 1], [16, 1], [18, 1]], 1/82944], [[[1, 2], [2, 1], [4, 3], [6, 1], [18, 1], [20, 1]], 13/331776], [[[1, 2], [2, 1], [4, 3], [6, 1], [18, 1], [24, 1]], 1/1990656], [[[1, 2], [2, 1], [4, 3], [6, 1], [18, 1], [30, 1]], 1/2488320], [[[1, 2], [2, 1], [4, 3], [6, 2], [8, 1], [12, 2]], 35/5308416], [[[1, 2], [2, 1], [4, 3], [6, 2], [8, 2], [12, 1]], 49/84934656], [[[1, 2], [2, 1], [4, 3], [6, 2], [10, 1], [12, 2]], 1/1658880], [[[1, 2], [2, 1], [4, 3], [6, 2], [10, 2], [12, 1]], 1/265420800], [[[1, 2], [2, 1], [4, 3], [6, 2], [12, 1], [15, 1]], 1/13271040], [[[1, 2], [2, 1], [4, 3], [6, 2], [12, 1], [16, 1]], 1/442368], [[[1, 2], [2, 1], [4, 3], [6, 2], [12, 1], [20, 1]], 13/1769472], [[[1, 2], [2, 1], [4, 3], [6, 2], [12, 1], [24, 1]], 1/10616832], [[[1, 2], [2, 1], [4, 3], [6, 2], [12, 1], [30, 1]], 1/13271040], [[[1, 2], [2, 1], [4, 3], [6, 3], [12, 1], [18, 1]], 1/23887872], [[[1, 2], [2, 1], [4, 3], [6, 4], [8, 1], [12, 1]], 7/573308928], [[[1, 2], [2, 1], [4, 3], [6, 4], [10, 1], [12, 1]], 1/895795200], [[[1, 2], [2, 1], [4, 3], [7, 1], [12, 1], [14, 1]], 1/8064], [[[1, 2], [2, 1], [4, 3], [8, 1], [10, 1], [16, 1]], 1/20480], [[[1, 2], [2, 1], [4, 3], [8, 1], [10, 2], [12, 1]], 7/2211840], [[[1, 2], [2, 1], [4, 3], [8, 1], [12, 1], [15, 1]], 7/110592], [[[1, 2], [2, 1], [4, 3], [8, 1], [12, 1], [16, 1]], 13/36864], [[[1, 2], [2, 1], [4, 3], [8, 1], [12, 1], [20, 1]], 199/368640], [[[1, 2], [2, 1], [4, 3], [8, 1], [12, 1], [24, 1]], 55/147456], [[[1, 2], [2, 1], [4, 3], [8, 1], [12, 1], [30, 1]], 7/110592], [[[1, 2], [2, 1], [4, 3], [8, 2], [10, 1], [12, 1]], 13/1105920], [[[1, 2], [2, 1], [4, 3], [9, 1], [12, 1], [18, 1]], 1/10368], [[[1, 2], [2, 1], [4, 3], [10, 1], [12, 1], [15, 1]], 1/172800], [[[1, 2], [2, 1], [4, 3], [10, 1], [12, 1], [20, 1]], 13/115200], [[[1, 2], [2, 1], [4, 3], [10, 1], [12, 1], [24, 1]], 7/138240], [[[1, 2], [2, 1], [4, 3], [10, 1], [12, 1], [30, 1]], 1/172800], [[[1, 2], [2, 1], [4, 4], [5, 2], [6, 1], [8, 1]], 1/2654208000], [[[1, 2], [2, 1], [4, 4], [5, 2], [6, 1], [10, 1]], 1/3317760000], [[[1, 2], [2, 1], [4, 4], [5, 2], [6, 1], [12, 1]], 1/2654208000], [[[1, 2], [2, 1], [4, 4], [6, 1], [7, 1], [18, 1]], 1/69672960], [[[1, 2], [2, 1], [4, 4], [6, 1], [8, 1], [10, 2]], 1/2654208000], [[[1, 2], [2, 1], [4, 4], [6, 1], [8, 1], [12, 2]], 3841/1274019840], [[[1, 2], [2, 1], [4, 4], [6, 1], [8, 1], [15, 1]], 1/132710400], [[[1, 2], [2, 1], [4, 4], [6, 1], [8, 1], [20, 1]], 77/17694720], [[[1, 2], [2, 1], [4, 4], [6, 1], [8, 1], [24, 1]], 1/106168320], [[[1, 2], [2, 1], [4, 4], [6, 1], [8, 1], [30, 1]], 1/132710400], [[[1, 2], [2, 1], [4, 4], [6, 1], [8, 2], [10, 1]], 241/1061683200], [[[1, 2], [2, 1], [4, 4], [6, 1], [8, 2], [12, 1]], 241/849346560], [[[1, 2], [2, 1], [4, 4], [6, 1], [9, 1], [18, 1]], 1/134369280], [[[1, 2], [2, 1], [4, 4], [6, 1], [10, 1], [12, 2]], 3841/1592524800], [[[1, 2], [2, 1], [4, 4], [6, 1], [10, 1], [15, 1]], 1/165888000], [[[1, 2], [2, 1], [4, 4], [6, 1], [10, 1], [20, 1]], 77/22118400], [[[1, 2], [2, 1], [4, 4], [6, 1], [10, 1], [24, 1]], 1/132710400], [[[1, 2], [2, 1], [4, 4], [6, 1], [10, 1], [30, 1]], 1/165888000], [[[1, 2], [2, 1], [4, 4], [6, 1], [10, 2], [12, 1]], 1/2654208000], [[[1, 2], [2, 1], [4, 4], [6, 1], [12, 1], [15, 1]], 1/132710400], [[[1, 2], [2, 1], [4, 4], [6, 1], [12, 1], [20, 1]], 77/17694720], [[[1, 2], [2, 1], [4, 4], [6, 1], [12, 1], [24, 1]], 1/106168320], [[[1, 2], [2, 1], [4, 4], [6, 1], [12, 1], [30, 1]], 1/132710400], [[[1, 2], [2, 1], [4, 4], [6, 1], [14, 1], [18, 1]], 1/139345920], [[[1, 2], [2, 1], [4, 4], [6, 2], [7, 1], [12, 1]], 1/371589120], [[[1, 2], [2, 1], [4, 4], [6, 2], [8, 1], [18, 1]], 1/238878720], [[[1, 2], [2, 1], [4, 4], [6, 2], [9, 1], [12, 1]], 1/716636160], [[[1, 2], [2, 1], [4, 4], [6, 2], [10, 1], [18, 1]], 1/298598400], [[[1, 2], [2, 1], [4, 4], [6, 2], [12, 1], [14, 1]], 1/743178240], [[[1, 2], [2, 1], [4, 4], [6, 2], [12, 1], [18, 1]], 1/191102976], [[[1, 2], [2, 1], [4, 4], [6, 3], [8, 1], [12, 1]], 1/1274019840], [[[1, 2], [2, 1], [4, 4], [6, 3], [10, 1], [12, 1]], 1/1592524800], [[[1, 2], [2, 1], [4, 5], [5, 1], [6, 1], [18, 1]], 1/199065600], [[[1, 2], [2, 1], [4, 5], [5, 1], [6, 2], [12, 1]], 1/1061683200], [[[1, 2], [2, 1], [4, 5], [5, 1], [8, 1], [10, 1]], 1/7372800], [[[1, 2], [2, 1], [4, 5], [6, 1], [8, 1], [18, 1]], 203/637009920], [[[1, 2], [2, 1], [4, 5], [6, 1], [10, 1], [18, 1]], 1/199065600], [[[1, 2], [2, 1], [4, 5], [6, 1], [12, 1], [18, 1]], 17/23887872], [[[1, 2], [2, 1], [4, 5], [6, 2], [8, 1], [12, 1]], 203/3397386240], [[[1, 2], [2, 1], [4, 5], [6, 2], [10, 1], [12, 1]], 1/1061683200], [[[1, 2], [2, 1], [4, 6], [6, 1], [8, 1], [12, 1]], 19/955514880], [[[1, 2], [2, 1], [4, 6], [6, 1], [10, 1], [12, 1]], 19/1194393600], [[[1, 2], [2, 1], [5, 2], [6, 1], [7, 1], [18, 1]], 1/907200], [[[1, 2], [2, 1], [5, 2], [6, 1], [8, 1], [10, 2]], 301/34560000], [[[1, 2], [2, 1], [5, 2], [6, 1], [8, 1], [12, 2]], 1/16588800], [[[1, 2], [2, 1], [5, 2], [6, 1], [8, 1], [15, 1]], 1/1728000], [[[1, 2], [2, 1], [5, 2], [6, 1], [8, 1], [20, 1]], 1/1152000], [[[1, 2], [2, 1], [5, 2], [6, 1], [8, 1], [24, 1]], 1/1382400], [[[1, 2], [2, 1], [5, 2], [6, 1], [8, 1], [30, 1]], 1/1728000], [[[1, 2], [2, 1], [5, 2], [6, 1], [8, 2], [10, 1]], 1/13824000], [[[1, 2], [2, 1], [5, 2], [6, 1], [8, 2], [12, 1]], 1/11059200], [[[1, 2], [2, 1], [5, 2], [6, 1], [9, 1], [18, 1]], 1/1749600], [[[1, 2], [2, 1], [5, 2], [6, 1], [10, 1], [12, 2]], 1/20736000], [[[1, 2], [2, 1], [5, 2], [6, 1], [10, 1], [15, 1]], 1/2160000], [[[1, 2], [2, 1], [5, 2], [6, 1], [10, 1], [20, 1]], 1/1440000], [[[1, 2], [2, 1], [5, 2], [6, 1], [10, 1], [24, 1]], 1/1728000], [[[1, 2], [2, 1], [5, 2], [6, 1], [10, 1], [30, 1]], 1/2160000], [[[1, 2], [2, 1], [5, 2], [6, 1], [10, 2], [12, 1]], 301/34560000], [[[1, 2], [2, 1], [5, 2], [6, 1], [12, 1], [15, 1]], 1/1728000], [[[1, 2], [2, 1], [5, 2], [6, 1], [12, 1], [20, 1]], 1/1152000], [[[1, 2], [2, 1], [5, 2], [6, 1], [12, 1], [24, 1]], 1/1382400], [[[1, 2], [2, 1], [5, 2], [6, 1], [12, 1], [30, 1]], 1/1728000], [[[1, 2], [2, 1], [5, 2], [6, 1], [14, 1], [18, 1]], 1/1814400], [[[1, 2], [2, 1], [5, 2], [6, 2], [7, 1], [12, 1]], 1/4838400], [[[1, 2], [2, 1], [5, 2], [6, 2], [8, 1], [18, 1]], 1/3110400], [[[1, 2], [2, 1], [5, 2], [6, 2], [9, 1], [12, 1]], 1/9331200], [[[1, 2], [2, 1], [5, 2], [6, 2], [10, 1], [18, 1]], 1/3888000], [[[1, 2], [2, 1], [5, 2], [6, 2], [12, 1], [14, 1]], 1/9676800], [[[1, 2], [2, 1], [5, 2], [6, 2], [12, 1], [18, 1]], 1/2488320], [[[1, 2], [2, 1], [5, 2], [6, 3], [8, 1], [12, 1]], 1/16588800], [[[1, 2], [2, 1], [5, 2], [6, 3], [10, 1], [12, 1]], 1/20736000], [[[1, 2], [2, 1], [6, 1], [7, 1], [8, 2], [18, 1]], 1/290304], [[[1, 2], [2, 1], [6, 1], [7, 1], [10, 2], [18, 1]], 1/907200], [[[1, 2], [2, 1], [6, 1], [7, 1], [12, 2], [18, 1]], 1/435456], [[[1, 2], [2, 1], [6, 1], [7, 1], [15, 1], [18, 1]], 1/45360], [[[1, 2], [2, 1], [6, 1], [7, 1], [18, 1], [20, 1]], 1/30240], [[[1, 2], [2, 1], [6, 1], [7, 1], [18, 1], [24, 1]], 1/36288], [[[1, 2], [2, 1], [6, 1], [7, 1], [18, 1], [30, 1]], 1/45360], [[[1, 2], [2, 1], [6, 1], [8, 1], [10, 2], [12, 2]], 1/16588800], [[[1, 2], [2, 1], [6, 1], [8, 1], [10, 2], [15, 1]], 1/1728000], [[[1, 2], [2, 1], [6, 1], [8, 1], [10, 2], [20, 1]], 1/1152000], [[[1, 2], [2, 1], [6, 1], [8, 1], [10, 2], [24, 1]], 1/1382400], [[[1, 2], [2, 1], [6, 1], [8, 1], [10, 2], [30, 1]], 1/1728000], [[[1, 2], [2, 1], [6, 1], [8, 1], [12, 1], [36, 1]], 1/10368], [[[1, 2], [2, 1], [6, 1], [8, 1], [12, 2], [15, 1]], 1/829440], [[[1, 2], [2, 1], [6, 1], [8, 1], [12, 2], [20, 1]], 1/552960], [[[1, 2], [2, 1], [6, 1], [8, 1], [12, 2], [24, 1]], 13/663552], [[[1, 2], [2, 1], [6, 1], [8, 1], [12, 2], [30, 1]], 1/829440], [[[1, 2], [2, 1], [6, 1], [8, 1], [15, 1], [20, 1]], 1/57600], [[[1, 2], [2, 1], [6, 1], [8, 1], [15, 1], [24, 1]], 1/69120], [[[1, 2], [2, 1], [6, 1], [8, 1], [15, 1], [30, 1]], 1/5400], [[[1, 2], [2, 1], [6, 1], [8, 1], [20, 1], [24, 1]], 1/46080], [[[1, 2], [2, 1], [6, 1], [8, 1], [20, 1], [30, 1]], 1/57600], [[[1, 2], [2, 1], [6, 1], [8, 1], [24, 1], [30, 1]], 1/69120], [[[1, 2], [2, 1], [6, 1], [8, 2], [9, 1], [18, 1]], 1/559872], [[[1, 2], [2, 1], [6, 1], [8, 2], [10, 1], [12, 2]], 1/6635520], [[[1, 2], [2, 1], [6, 1], [8, 2], [10, 1], [15, 1]], 1/691200], [[[1, 2], [2, 1], [6, 1], [8, 2], [10, 1], [20, 1]], 1/460800], [[[1, 2], [2, 1], [6, 1], [8, 2], [10, 1], [24, 1]], 11/184320], [[[1, 2], [2, 1], [6, 1], [8, 2], [10, 1], [30, 1]], 1/691200], [[[1, 2], [2, 1], [6, 1], [8, 2], [10, 2], [12, 1]], 1/11059200], [[[1, 2], [2, 1], [6, 1], [8, 2], [12, 1], [15, 1]], 1/552960], [[[1, 2], [2, 1], [6, 1], [8, 2], [12, 1], [20, 1]], 1/368640], [[[1, 2], [2, 1], [6, 1], [8, 2], [12, 1], [24, 1]], 11/147456], [[[1, 2], [2, 1], [6, 1], [8, 2], [12, 1], [30, 1]], 1/552960], [[[1, 2], [2, 1], [6, 1], [8, 2], [14, 1], [18, 1]], 1/580608], [[[1, 2], [2, 1], [6, 1], [9, 1], [10, 2], [18, 1]], 1/1749600], [[[1, 2], [2, 1], [6, 1], [9, 1], [12, 2], [18, 1]], 1/839808], [[[1, 2], [2, 1], [6, 1], [9, 1], [15, 1], [18, 1]], 1/87480], [[[1, 2], [2, 1], [6, 1], [9, 1], [18, 1], [20, 1]], 1/58320], [[[1, 2], [2, 1], [6, 1], [9, 1], [18, 1], [24, 1]], 1/69984], [[[1, 2], [2, 1], [6, 1], [9, 1], [18, 1], [30, 1]], 1/87480], [[[1, 2], [2, 1], [6, 1], [10, 1], [12, 1], [36, 1]], 1/12960], [[[1, 2], [2, 1], [6, 1], [10, 1], [12, 2], [15, 1]], 1/1036800], [[[1, 2], [2, 1], [6, 1], [10, 1], [12, 2], [20, 1]], 1/691200], [[[1, 2], [2, 1], [6, 1], [10, 1], [12, 2], [24, 1]], 13/829440], [[[1, 2], [2, 1], [6, 1], [10, 1], [12, 2], [30, 1]], 1/1036800], [[[1, 2], [2, 1], [6, 1], [10, 1], [15, 1], [20, 1]], 1/72000], [[[1, 2], [2, 1], [6, 1], [10, 1], [15, 1], [24, 1]], 1/86400], [[[1, 2], [2, 1], [6, 1], [10, 1], [15, 1], [30, 1]], 1/6750], [[[1, 2], [2, 1], [6, 1], [10, 1], [20, 1], [24, 1]], 1/57600], [[[1, 2], [2, 1], [6, 1], [10, 1], [20, 1], [30, 1]], 1/72000], [[[1, 2], [2, 1], [6, 1], [10, 1], [24, 1], [30, 1]], 1/86400], [[[1, 2], [2, 1], [6, 1], [10, 2], [12, 1], [15, 1]], 1/1728000], [[[1, 2], [2, 1], [6, 1], [10, 2], [12, 1], [20, 1]], 1/1152000], [[[1, 2], [2, 1], [6, 1], [10, 2], [12, 1], [24, 1]], 1/1382400], [[[1, 2], [2, 1], [6, 1], [10, 2], [12, 1], [30, 1]], 1/1728000], [[[1, 2], [2, 1], [6, 1], [10, 2], [14, 1], [18, 1]], 1/1814400], [[[1, 2], [2, 1], [6, 1], [12, 1], [15, 1], [20, 1]], 1/57600], [[[1, 2], [2, 1], [6, 1], [12, 1], [15, 1], [24, 1]], 1/69120], [[[1, 2], [2, 1], [6, 1], [12, 1], [15, 1], [30, 1]], 1/5400], [[[1, 2], [2, 1], [6, 1], [12, 1], [20, 1], [24, 1]], 1/46080], [[[1, 2], [2, 1], [6, 1], [12, 1], [20, 1], [30, 1]], 1/57600], [[[1, 2], [2, 1], [6, 1], [12, 1], [24, 1], [30, 1]], 1/69120], [[[1, 2], [2, 1], [6, 1], [12, 2], [14, 1], [18, 1]], 1/870912], [[[1, 2], [2, 1], [6, 1], [14, 1], [15, 1], [18, 1]], 1/90720], [[[1, 2], [2, 1], [6, 1], [14, 1], [18, 1], [20, 1]], 1/60480], [[[1, 2], [2, 1], [6, 1], [14, 1], [18, 1], [24, 1]], 1/72576], [[[1, 2], [2, 1], [6, 1], [14, 1], [18, 1], [30, 1]], 1/90720], [[[1, 2], [2, 1], [6, 2], [7, 1], [8, 2], [12, 1]], 1/1548288], [[[1, 2], [2, 1], [6, 2], [7, 1], [10, 2], [12, 1]], 1/4838400], [[[1, 2], [2, 1], [6, 2], [7, 1], [12, 1], [15, 1]], 1/241920], [[[1, 2], [2, 1], [6, 2], [7, 1], [12, 1], [20, 1]], 1/161280], [[[1, 2], [2, 1], [6, 2], [7, 1], [12, 1], [24, 1]], 1/193536], [[[1, 2], [2, 1], [6, 2], [7, 1], [12, 1], [30, 1]], 1/241920], [[[1, 2], [2, 1], [6, 2], [8, 1], [10, 2], [18, 1]], 1/3110400], [[[1, 2], [2, 1], [6, 2], [8, 1], [12, 2], [18, 1]], 1/1492992], [[[1, 2], [2, 1], [6, 2], [8, 1], [15, 1], [18, 1]], 1/155520], [[[1, 2], [2, 1], [6, 2], [8, 1], [18, 1], [20, 1]], 1/103680], [[[1, 2], [2, 1], [6, 2], [8, 1], [18, 1], [24, 1]], 1/124416], [[[1, 2], [2, 1], [6, 2], [8, 1], [18, 1], [30, 1]], 1/155520], [[[1, 2], [2, 1], [6, 2], [8, 2], [9, 1], [12, 1]], 1/2985984], [[[1, 2], [2, 1], [6, 2], [8, 2], [10, 1], [18, 1]], 1/1244160], [[[1, 2], [2, 1], [6, 2], [8, 2], [12, 1], [14, 1]], 1/3096576], [[[1, 2], [2, 1], [6, 2], [8, 2], [12, 1], [18, 1]], 5/3981312], [[[1, 2], [2, 1], [6, 2], [9, 1], [10, 2], [12, 1]], 1/9331200], [[[1, 2], [2, 1], [6, 2], [9, 1], [12, 1], [15, 1]], 1/466560], [[[1, 2], [2, 1], [6, 2], [9, 1], [12, 1], [20, 1]], 1/311040], [[[1, 2], [2, 1], [6, 2], [9, 1], [12, 1], [24, 1]], 1/373248], [[[1, 2], [2, 1], [6, 2], [9, 1], [12, 1], [30, 1]], 1/466560], [[[1, 2], [2, 1], [6, 2], [10, 1], [12, 2], [18, 1]], 1/1866240], [[[1, 2], [2, 1], [6, 2], [10, 1], [15, 1], [18, 1]], 1/194400], [[[1, 2], [2, 1], [6, 2], [10, 1], [18, 1], [20, 1]], 1/129600], [[[1, 2], [2, 1], [6, 2], [10, 1], [18, 1], [24, 1]], 1/155520], [[[1, 2], [2, 1], [6, 2], [10, 1], [18, 1], [30, 1]], 1/194400], [[[1, 2], [2, 1], [6, 2], [10, 2], [12, 1], [14, 1]], 1/9676800], [[[1, 2], [2, 1], [6, 2], [10, 2], [12, 1], [18, 1]], 1/2488320], [[[1, 2], [2, 1], [6, 2], [12, 1], [14, 1], [15, 1]], 1/483840], [[[1, 2], [2, 1], [6, 2], [12, 1], [14, 1], [20, 1]], 1/322560], [[[1, 2], [2, 1], [6, 2], [12, 1], [14, 1], [24, 1]], 1/387072], [[[1, 2], [2, 1], [6, 2], [12, 1], [14, 1], [30, 1]], 1/483840], [[[1, 2], [2, 1], [6, 2], [12, 1], [15, 1], [18, 1]], 1/124416], [[[1, 2], [2, 1], [6, 2], [12, 1], [18, 1], [20, 1]], 1/82944], [[[1, 2], [2, 1], [6, 2], [12, 1], [18, 1], [24, 1]], 5/497664], [[[1, 2], [2, 1], [6, 2], [12, 1], [18, 1], [30, 1]], 1/124416], [[[1, 2], [2, 1], [6, 3], [7, 1], [12, 1], [18, 1]], 1/435456], [[[1, 2], [2, 1], [6, 3], [8, 1], [10, 2], [12, 1]], 1/16588800], [[[1, 2], [2, 1], [6, 3], [8, 1], [12, 1], [15, 1]], 1/829440], [[[1, 2], [2, 1], [6, 3], [8, 1], [12, 1], [20, 1]], 1/552960], [[[1, 2], [2, 1], [6, 3], [8, 1], [12, 1], [24, 1]], 1/663552], [[[1, 2], [2, 1], [6, 3], [8, 1], [12, 1], [30, 1]], 1/829440], [[[1, 2], [2, 1], [6, 3], [8, 2], [10, 1], [12, 1]], 1/6635520], [[[1, 2], [2, 1], [6, 3], [9, 1], [12, 1], [18, 1]], 1/839808], [[[1, 2], [2, 1], [6, 3], [10, 1], [12, 1], [15, 1]], 1/1036800], [[[1, 2], [2, 1], [6, 3], [10, 1], [12, 1], [20, 1]], 1/691200], [[[1, 2], [2, 1], [6, 3], [10, 1], [12, 1], [24, 1]], 1/829440], [[[1, 2], [2, 1], [6, 3], [10, 1], [12, 1], [30, 1]], 1/1036800], [[[1, 2], [2, 1], [6, 3], [12, 1], [14, 1], [18, 1]], 1/870912], [[[1, 2], [2, 1], [6, 4], [8, 1], [12, 1], [18, 1]], 1/1492992], [[[1, 2], [2, 1], [6, 4], [10, 1], [12, 1], [18, 1]], 1/1866240], [[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [6, 6]], 1/3583180800], [[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [8, 3]], 1/92160], [[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [9, 2]], 1/155520], [[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [10, 3]], 1/2880000], [[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [12, 3]], 37/9953280], [[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [28, 1]], 1/6720], [[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [36, 1]], 1/8640], [[[1, 2], [2, 3], [3, 1], [4, 1], [5, 2], [6, 4]], 791/107495424000], [[[1, 2], [2, 3], [3, 1], [4, 1], [5, 2], [8, 2]], 349/132710400], [[[1, 2], [2, 3], [3, 1], [4, 1], [5, 2], [10, 2]], 2251/414720000], [[[1, 2], [2, 3], [3, 1], [4, 1], [5, 2], [12, 2]], 59/39813120], [[[1, 2], [2, 3], [3, 1], [4, 1], [5, 2], [15, 1]], 151/20736000], [[[1, 2], [2, 3], [3, 1], [4, 1], [5, 2], [20, 1]], 151/13824000], [[[1, 2], [2, 3], [3, 1], [4, 1], [5, 2], [24, 1]], 151/16588800], [[[1, 2], [2, 3], [3, 1], [4, 1], [5, 2], [30, 1]], 151/20736000], [[[1, 2], [2, 3], [3, 1], [4, 1], [5, 3], [6, 2]], 1/13824000], [[[1, 2], [2, 3], [3, 1], [4, 1], [5, 3], [8, 1]], 1/576000], [[[1, 2], [2, 3], [3, 1], [4, 1], [5, 3], [10, 1]], 1/2880000], [[[1, 2], [2, 3], [3, 1], [4, 1], [5, 3], [12, 1]], 7/6912000], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 2], [8, 3]], 19/7077888], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 2], [10, 3]], 19/41472000], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 2], [12, 3]], 2575/95551488], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 2], [18, 2]], 13/2239488], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 2], [28, 1]], 1/32256], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 2], [36, 1]], 1/41472], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 4], [8, 2]], 169/6879707136], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 4], [10, 2]], 647/107495424000], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 4], [12, 2]], 73241/51597803520], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 4], [15, 1]], 647/5374771200], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 4], [16, 1]], 1/373248], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 4], [20, 1]], 647/3583180800], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 4], [24, 1]], 12167/4299816960], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 4], [30, 1]], 647/5374771200], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 5], [7, 1]], 1/627056640], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 5], [9, 1]], 7/3224862720], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 5], [14, 1]], 1/313528320], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 5], [18, 1]], 221/3224862720], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 6], [8, 1]], 11/5733089280], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 6], [10, 1]], 19/10749542400], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 6], [12, 1]], 49/3439853568], [[[1, 2], [2, 3], [3, 1], [4, 1], [8, 1], [9, 2]], 17/746496], [[[1, 2], [2, 3], [3, 1], [4, 1], [8, 1], [10, 3]], 1/2304000], [[[1, 2], [2, 3], [3, 1], [4, 1], [8, 1], [12, 3]], 107/15925248], [[[1, 2], [2, 3], [3, 1], [4, 1], [8, 1], [28, 1]], 1/5376], [[[1, 2], [2, 3], [3, 1], [4, 1], [8, 1], [36, 1]], 1/6912], [[[1, 2], [2, 3], [3, 1], [4, 1], [8, 2], [10, 2]], 41/26542080], [[[1, 2], [2, 3], [3, 1], [4, 1], [8, 2], [12, 2]], 349/63700992], [[[1, 2], [2, 3], [3, 1], [4, 1], [8, 2], [15, 1]], 41/1327104], [[[1, 2], [2, 3], [3, 1], [4, 1], [8, 2], [16, 1]], 5/12288], [[[1, 2], [2, 3], [3, 1], [4, 1], [8, 2], [20, 1]], 781/4423680], [[[1, 2], [2, 3], [3, 1], [4, 1], [8, 2], [24, 1]], 527/1769472], [[[1, 2], [2, 3], [3, 1], [4, 1], [8, 2], [30, 1]], 41/1327104], [[[1, 2], [2, 3], [3, 1], [4, 1], [8, 3], [10, 1]], 1/737280], [[[1, 2], [2, 3], [3, 1], [4, 1], [8, 3], [12, 1]], 49/3538944], [[[1, 2], [2, 3], [3, 1], [4, 1], [9, 2], [10, 1]], 1/155520], [[[1, 2], [2, 3], [3, 1], [4, 1], [9, 2], [12, 1]], 1/93312], [[[1, 2], [2, 3], [3, 1], [4, 1], [10, 1], [12, 3]], 1/1105920], [[[1, 2], [2, 3], [3, 1], [4, 1], [10, 2], [12, 2]], 151/199065600], [[[1, 2], [2, 3], [3, 1], [4, 1], [10, 2], [15, 1]], 7/20736000], [[[1, 2], [2, 3], [3, 1], [4, 1], [10, 2], [20, 1]], 7/13824000], [[[1, 2], [2, 3], [3, 1], [4, 1], [10, 2], [24, 1]], 7/16588800], [[[1, 2], [2, 3], [3, 1], [4, 1], [10, 2], [30, 1]], 7/20736000], [[[1, 2], [2, 3], [3, 1], [4, 1], [10, 3], [12, 1]], 1/2304000], [[[1, 2], [2, 3], [3, 1], [4, 1], [12, 1], [28, 1]], 1/5376], [[[1, 2], [2, 3], [3, 1], [4, 1], [12, 1], [36, 1]], 25/124416], [[[1, 2], [2, 3], [3, 1], [4, 1], [12, 2], [15, 1]], 151/9953280], [[[1, 2], [2, 3], [3, 1], [4, 1], [12, 2], [16, 1]], 1/9216], [[[1, 2], [2, 3], [3, 1], [4, 1], [12, 2], [20, 1]], 727/6635520], [[[1, 2], [2, 3], [3, 1], [4, 1], [12, 2], [24, 1]], 1099/7962624], [[[1, 2], [2, 3], [3, 1], [4, 1], [12, 2], [30, 1]], 151/9953280], [[[1, 2], [2, 3], [3, 1], [4, 1], [15, 1], [20, 1]], 7/691200], [[[1, 2], [2, 3], [3, 1], [4, 1], [15, 1], [24, 1]], 7/829440], [[[1, 2], [2, 3], [3, 1], [4, 1], [15, 1], [30, 1]], 7/64800], [[[1, 2], [2, 3], [3, 1], [4, 1], [20, 1], [24, 1]], 7/552960], [[[1, 2], [2, 3], [3, 1], [4, 1], [20, 1], [30, 1]], 7/691200], [[[1, 2], [2, 3], [3, 1], [4, 1], [24, 1], [30, 1]], 7/829440], [[[1, 2], [2, 3], [3, 1], [4, 2], [5, 1], [6, 5]], 7/5374771200], [[[1, 2], [2, 3], [3, 1], [4, 2], [5, 2], [6, 3]], 37/5374771200], [[[1, 2], [2, 3], [3, 1], [4, 2], [5, 2], [9, 1]], 121/39813120], [[[1, 2], [2, 3], [3, 1], [4, 2], [5, 2], [14, 1]], 1/19353600], [[[1, 2], [2, 3], [3, 1], [4, 2], [5, 2], [18, 1]], 1/74649600], [[[1, 2], [2, 3], [3, 1], [4, 2], [5, 3], [6, 1]], 7/20736000], [[[1, 2], [2, 3], [3, 1], [4, 2], [6, 1], [8, 3]], 113/5308416], [[[1, 2], [2, 3], [3, 1], [4, 2], [6, 1], [9, 2]], 1/1679616], [[[1, 2], [2, 3], [3, 1], [4, 2], [6, 1], [10, 3]], 13/41472000], [[[1, 2], [2, 3], [3, 1], [4, 2], [6, 1], [12, 3]], 10471/143327232], [[[1, 2], [2, 3], [3, 1], [4, 2], [6, 1], [18, 2]], 1/6718464], [[[1, 2], [2, 3], [3, 1], [4, 2], [6, 1], [28, 1]], 1/2304], [[[1, 2], [2, 3], [3, 1], [4, 2], [6, 1], [36, 1]], 11/62208], [[[1, 2], [2, 3], [3, 1], [4, 2], [6, 3], [8, 2]], 37/1719926784], [[[1, 2], [2, 3], [3, 1], [4, 2], [6, 3], [10, 2]], 37/5374771200], [[[1, 2], [2, 3], [3, 1], [4, 2], [6, 3], [12, 2]], 349283/2579890176], [[[1, 2], [2, 3], [3, 1], [4, 2], [6, 3], [15, 1]], 37/268738560], [[[1, 2], [2, 3], [3, 1], [4, 2], [6, 3], [20, 1]], 37/179159040], [[[1, 2], [2, 3], [3, 1], [4, 2], [6, 3], [24, 1]], 37/214990848], [[[1, 2], [2, 3], [3, 1], [4, 2], [6, 3], [30, 1]], 37/268738560], [[[1, 2], [2, 3], [3, 1], [4, 2], [6, 4], [9, 1]], 349/51597803520], [[[1, 2], [2, 3], [3, 1], [4, 2], [6, 4], [14, 1]], 1/5016453120], [[[1, 2], [2, 3], [3, 1], [4, 2], [6, 4], [18, 1]], 1481/19349176320], [[[1, 2], [2, 3], [3, 1], [4, 2], [6, 5], [8, 1]], 89/4299816960], [[[1, 2], [2, 3], [3, 1], [4, 2], [6, 5], [10, 1]], 13/10749542400], [[[1, 2], [2, 3], [3, 1], [4, 2], [6, 5], [12, 1]], 1177/15479341056], [[[1, 2], [2, 3], [3, 1], [4, 2], [7, 1], [12, 2]], 1/193536], [[[1, 2], [2, 3], [3, 1], [4, 2], [8, 2], [9, 1]], 4817/63700992], [[[1, 2], [2, 3], [3, 1], [4, 2], [8, 2], [14, 1]], 1/6193152], [[[1, 2], [2, 3], [3, 1], [4, 2], [8, 2], [18, 1]], 1/23887872], [[[1, 2], [2, 3], [3, 1], [4, 2], [9, 1], [10, 2]], 121/39813120], [[[1, 2], [2, 3], [3, 1], [4, 2], [9, 1], [12, 2]], 2717/95551488], [[[1, 2], [2, 3], [3, 1], [4, 2], [9, 1], [15, 1]], 29/9953280], [[[1, 2], [2, 3], [3, 1], [4, 2], [9, 1], [16, 1]], 1/13824], [[[1, 2], [2, 3], [3, 1], [4, 2], [9, 1], [20, 1]], 413/6635520], [[[1, 2], [2, 3], [3, 1], [4, 2], [9, 1], [24, 1]], 29/7962624], [[[1, 2], [2, 3], [3, 1], [4, 2], [9, 1], [30, 1]], 29/9953280], [[[1, 2], [2, 3], [3, 1], [4, 2], [10, 2], [14, 1]], 1/19353600], [[[1, 2], [2, 3], [3, 1], [4, 2], [10, 2], [18, 1]], 1/74649600], [[[1, 2], [2, 3], [3, 1], [4, 2], [12, 2], [14, 1]], 113/9289728], [[[1, 2], [2, 3], [3, 1], [4, 2], [12, 2], [18, 1]], 209/35831808], [[[1, 2], [2, 3], [3, 1], [4, 2], [14, 1], [15, 1]], 1/967680], [[[1, 2], [2, 3], [3, 1], [4, 2], [14, 1], [20, 1]], 1/645120], [[[1, 2], [2, 3], [3, 1], [4, 2], [14, 1], [24, 1]], 1/774144], [[[1, 2], [2, 3], [3, 1], [4, 2], [14, 1], [30, 1]], 1/967680], [[[1, 2], [2, 3], [3, 1], [4, 2], [15, 1], [18, 1]], 1/3732480], [[[1, 2], [2, 3], [3, 1], [4, 2], [18, 1], [20, 1]], 1/2488320], [[[1, 2], [2, 3], [3, 1], [4, 2], [18, 1], [24, 1]], 1/2985984], [[[1, 2], [2, 3], [3, 1], [4, 2], [18, 1], [30, 1]], 1/3732480], [[[1, 2], [2, 3], [3, 1], [4, 3], [5, 1], [6, 4]], 1/14332723200], [[[1, 2], [2, 3], [3, 1], [4, 3], [5, 1], [8, 2]], 49/17694720], [[[1, 2], [2, 3], [3, 1], [4, 3], [5, 1], [10, 2]], 1/55296000], [[[1, 2], [2, 3], [3, 1], [4, 3], [5, 1], [12, 2]], 481/26542080], [[[1, 2], [2, 3], [3, 1], [4, 3], [5, 1], [15, 1]], 1/2764800], [[[1, 2], [2, 3], [3, 1], [4, 3], [5, 1], [16, 1]], 1/92160], [[[1, 2], [2, 3], [3, 1], [4, 3], [5, 1], [20, 1]], 13/368640], [[[1, 2], [2, 3], [3, 1], [4, 3], [5, 1], [24, 1]], 1/2211840], [[[1, 2], [2, 3], [3, 1], [4, 3], [5, 1], [30, 1]], 1/2764800], [[[1, 2], [2, 3], [3, 1], [4, 3], [5, 2], [6, 2]], 19/796262400], [[[1, 2], [2, 3], [3, 1], [4, 3], [5, 2], [8, 1]], 1/29491200], [[[1, 2], [2, 3], [3, 1], [4, 3], [5, 2], [12, 1]], 1217/398131200], [[[1, 2], [2, 3], [3, 1], [4, 3], [6, 2], [8, 2]], 2467/254803968], [[[1, 2], [2, 3], [3, 1], [4, 3], [6, 2], [10, 2]], 19/796262400], [[[1, 2], [2, 3], [3, 1], [4, 3], [6, 2], [12, 2]], 7111/127401984], [[[1, 2], [2, 3], [3, 1], [4, 3], [6, 2], [15, 1]], 19/39813120], [[[1, 2], [2, 3], [3, 1], [4, 3], [6, 2], [16, 1]], 5/442368], [[[1, 2], [2, 3], [3, 1], [4, 3], [6, 2], [20, 1]], 211/26542080], [[[1, 2], [2, 3], [3, 1], [4, 3], [6, 2], [24, 1]], 307/31850496], [[[1, 2], [2, 3], [3, 1], [4, 3], [6, 2], [30, 1]], 19/39813120], [[[1, 2], [2, 3], [3, 1], [4, 3], [6, 3], [9, 1]], 1/161243136], [[[1, 2], [2, 3], [3, 1], [4, 3], [6, 3], [18, 1]], 19/71663616], [[[1, 2], [2, 3], [3, 1], [4, 3], [6, 4], [8, 1]], 5123/22932357120], [[[1, 2], [2, 3], [3, 1], [4, 3], [6, 4], [12, 1]], 20495/20639121408], [[[1, 2], [2, 3], [3, 1], [4, 3], [7, 1], [9, 1]], 1/2322432], [[[1, 2], [2, 3], [3, 1], [4, 3], [8, 1], [10, 2]], 1/29491200], [[[1, 2], [2, 3], [3, 1], [4, 3], [8, 1], [12, 2]], 2467/42467328], [[[1, 2], [2, 3], [3, 1], [4, 3], [8, 1], [15, 1]], 1/1474560], [[[1, 2], [2, 3], [3, 1], [4, 3], [8, 1], [16, 1]], 11/294912], [[[1, 2], [2, 3], [3, 1], [4, 3], [8, 1], [20, 1]], 131/2949120], [[[1, 2], [2, 3], [3, 1], [4, 3], [8, 1], [24, 1]], 1/1179648], [[[1, 2], [2, 3], [3, 1], [4, 3], [8, 1], [30, 1]], 1/1474560], [[[1, 2], [2, 3], [3, 1], [4, 3], [8, 2], [12, 1]], 6209/127401984], [[[1, 2], [2, 3], [3, 1], [4, 3], [9, 1], [14, 1]], 1/1161216], [[[1, 2], [2, 3], [3, 1], [4, 3], [9, 1], [18, 1]], 1/2239488], [[[1, 2], [2, 3], [3, 1], [4, 3], [10, 1], [12, 2]], 1/276480], [[[1, 2], [2, 3], [3, 1], [4, 3], [10, 2], [12, 1]], 13/79626240], [[[1, 2], [2, 3], [3, 1], [4, 3], [12, 1], [15, 1]], 13/3981312], [[[1, 2], [2, 3], [3, 1], [4, 3], [12, 1], [16, 1]], 1/73728], [[[1, 2], [2, 3], [3, 1], [4, 3], [12, 1], [20, 1]], 1313/13271040], [[[1, 2], [2, 3], [3, 1], [4, 3], [12, 1], [24, 1]], 401/15925248], [[[1, 2], [2, 3], [3, 1], [4, 3], [12, 1], [30, 1]], 13/3981312], [[[1, 2], [2, 3], [3, 1], [4, 4], [5, 1], [6, 3]], 1/8599633920], [[[1, 2], [2, 3], [3, 1], [4, 4], [5, 1], [7, 1]], 1/154828800], [[[1, 2], [2, 3], [3, 1], [4, 4], [5, 1], [9, 1]], 41/132710400], [[[1, 2], [2, 3], [3, 1], [4, 4], [5, 1], [14, 1]], 1/51609600], [[[1, 2], [2, 3], [3, 1], [4, 4], [5, 1], [18, 1]], 1/119439360], [[[1, 2], [2, 3], [3, 1], [4, 4], [5, 2], [6, 1]], 5/63700992], [[[1, 2], [2, 3], [3, 1], [4, 4], [6, 1], [8, 2]], 102661/2548039680], [[[1, 2], [2, 3], [3, 1], [4, 4], [6, 1], [10, 2]], 5/63700992], [[[1, 2], [2, 3], [3, 1], [4, 4], [6, 1], [12, 2]], 143399/764411904], [[[1, 2], [2, 3], [3, 1], [4, 4], [6, 1], [15, 1]], 25/15925248], [[[1, 2], [2, 3], [3, 1], [4, 4], [6, 1], [16, 1]], 7/442368], [[[1, 2], [2, 3], [3, 1], [4, 4], [6, 1], [20, 1]], 409/10616832], [[[1, 2], [2, 3], [3, 1], [4, 4], [6, 1], [24, 1]], 2797/318504960], [[[1, 2], [2, 3], [3, 1], [4, 4], [6, 1], [30, 1]], 25/15925248], [[[1, 2], [2, 3], [3, 1], [4, 4], [6, 2], [7, 1]], 1/743178240], [[[1, 2], [2, 3], [3, 1], [4, 4], [6, 2], [9, 1]], 19/8599633920], [[[1, 2], [2, 3], [3, 1], [4, 4], [6, 2], [14, 1]], 1/318504960], [[[1, 2], [2, 3], [3, 1], [4, 4], [6, 2], [18, 1]], 7513/8599633920], [[[1, 2], [2, 3], [3, 1], [4, 4], [6, 3], [8, 1]], 31/34398535680], [[[1, 2], [2, 3], [3, 1], [4, 4], [6, 3], [10, 1]], 7/4777574400], [[[1, 2], [2, 3], [3, 1], [4, 4], [6, 3], [12, 1]], 4585/20639121408], [[[1, 2], [2, 3], [3, 1], [4, 4], [7, 1], [8, 1]], 1/123863040], [[[1, 2], [2, 3], [3, 1], [4, 4], [7, 1], [12, 1]], 1/123863040], [[[1, 2], [2, 3], [3, 1], [4, 4], [8, 1], [9, 1]], 13519/1911029760], [[[1, 2], [2, 3], [3, 1], [4, 4], [8, 1], [14, 1]], 1/61931520], [[[1, 2], [2, 3], [3, 1], [4, 4], [8, 1], [18, 1]], 1/119439360], [[[1, 2], [2, 3], [3, 1], [4, 4], [9, 1], [10, 1]], 73/238878720], [[[1, 2], [2, 3], [3, 1], [4, 4], [9, 1], [12, 1]], 2743/477757440], [[[1, 2], [2, 3], [3, 1], [4, 4], [12, 1], [14, 1]], 167/371589120], [[[1, 2], [2, 3], [3, 1], [4, 4], [12, 1], [18, 1]], 173/1433272320], [[[1, 2], [2, 3], [3, 1], [4, 5], [5, 1], [6, 2]], 1/1061683200], [[[1, 2], [2, 3], [3, 1], [4, 5], [5, 1], [8, 1]], 13/44236800], [[[1, 2], [2, 3], [3, 1], [4, 5], [5, 1], [10, 1]], 1/221184000], [[[1, 2], [2, 3], [3, 1], [4, 5], [5, 1], [12, 1]], 343/530841600], [[[1, 2], [2, 3], [3, 1], [4, 5], [6, 1], [7, 1]], 1/185794560], [[[1, 2], [2, 3], [3, 1], [4, 5], [6, 1], [9, 1]], 1/35389440], [[[1, 2], [2, 3], [3, 1], [4, 5], [6, 1], [14, 1]], 1/92897280], [[[1, 2], [2, 3], [3, 1], [4, 5], [6, 1], [18, 1]], 23/2866544640], [[[1, 2], [2, 3], [3, 1], [4, 5], [6, 2], [8, 1]], 1387/1698693120], [[[1, 2], [2, 3], [3, 1], [4, 5], [6, 2], [10, 1]], 19/3185049600], [[[1, 2], [2, 3], [3, 1], [4, 5], [6, 2], [12, 1]], 5639/1698693120], [[[1, 2], [2, 3], [3, 1], [4, 5], [8, 1], [10, 1]], 1/176947200], [[[1, 2], [2, 3], [3, 1], [4, 5], [8, 1], [12, 1]], 71/56623104], [[[1, 2], [2, 3], [3, 1], [4, 5], [10, 1], [12, 1]], 1/176947200], [[[1, 2], [2, 3], [3, 1], [4, 6], [5, 1], [6, 1]], 7/1592524800], [[[1, 2], [2, 3], [3, 1], [4, 6], [6, 1], [8, 1]], 1097/1274019840], [[[1, 2], [2, 3], [3, 1], [4, 6], [6, 1], [10, 1]], 13/3185049600], [[[1, 2], [2, 3], [3, 1], [4, 6], [6, 1], [12, 1]], 80311/22932357120], [[[1, 2], [2, 3], [3, 1], [5, 1], [6, 1], [8, 3]], 1/1105920], [[[1, 2], [2, 3], [3, 1], [5, 1], [6, 1], [10, 3]], 11/1440000], [[[1, 2], [2, 3], [3, 1], [5, 1], [6, 1], [12, 3]], 1/995328], [[[1, 2], [2, 3], [3, 1], [5, 1], [6, 1], [18, 2]], 1/139968], [[[1, 2], [2, 3], [3, 1], [5, 1], [6, 3], [8, 2]], 1/35831808], [[[1, 2], [2, 3], [3, 1], [5, 1], [6, 3], [10, 2]], 1/111974400], [[[1, 2], [2, 3], [3, 1], [5, 1], [6, 3], [12, 2]], 55/53747712], [[[1, 2], [2, 3], [3, 1], [5, 1], [6, 3], [15, 1]], 1/5598720], [[[1, 2], [2, 3], [3, 1], [5, 1], [6, 3], [20, 1]], 1/3732480], [[[1, 2], [2, 3], [3, 1], [5, 1], [6, 3], [24, 1]], 1/4478976], [[[1, 2], [2, 3], [3, 1], [5, 1], [6, 3], [30, 1]], 1/5598720], [[[1, 2], [2, 3], [3, 1], [5, 1], [6, 4], [7, 1]], 1/522547200], [[[1, 2], [2, 3], [3, 1], [5, 1], [6, 4], [9, 1]], 1/447897600], [[[1, 2], [2, 3], [3, 1], [5, 1], [6, 4], [14, 1]], 1/174182400], [[[1, 2], [2, 3], [3, 1], [5, 1], [6, 4], [18, 1]], 41/403107840], [[[1, 2], [2, 3], [3, 1], [5, 1], [6, 5], [8, 1]], 1/895795200], [[[1, 2], [2, 3], [3, 1], [5, 1], [6, 5], [10, 1]], 11/373248000], [[[1, 2], [2, 3], [3, 1], [5, 1], [6, 5], [12, 1]], 11/537477120], [[[1, 2], [2, 3], [3, 1], [5, 1], [7, 1], [8, 2]], 1/645120], [[[1, 2], [2, 3], [3, 1], [5, 1], [7, 1], [10, 2]], 1/2016000], [[[1, 2], [2, 3], [3, 1], [5, 1], [7, 1], [12, 2]], 1/967680], [[[1, 2], [2, 3], [3, 1], [5, 1], [7, 1], [15, 1]], 1/100800], [[[1, 2], [2, 3], [3, 1], [5, 1], [7, 1], [20, 1]], 1/67200], [[[1, 2], [2, 3], [3, 1], [5, 1], [7, 1], [24, 1]], 1/80640], [[[1, 2], [2, 3], [3, 1], [5, 1], [7, 1], [30, 1]], 1/100800], [[[1, 2], [2, 3], [3, 1], [5, 1], [8, 2], [9, 1]], 1/552960], [[[1, 2], [2, 3], [3, 1], [5, 1], [8, 2], [14, 1]], 1/215040], [[[1, 2], [2, 3], [3, 1], [5, 1], [8, 2], [18, 1]], 1/497664], [[[1, 2], [2, 3], [3, 1], [5, 1], [9, 1], [10, 2]], 1/1728000], [[[1, 2], [2, 3], [3, 1], [5, 1], [9, 1], [12, 2]], 1/829440], [[[1, 2], [2, 3], [3, 1], [5, 1], [9, 1], [15, 1]], 1/86400], [[[1, 2], [2, 3], [3, 1], [5, 1], [9, 1], [20, 1]], 1/57600], [[[1, 2], [2, 3], [3, 1], [5, 1], [9, 1], [24, 1]], 1/69120], [[[1, 2], [2, 3], [3, 1], [5, 1], [9, 1], [30, 1]], 1/86400], [[[1, 2], [2, 3], [3, 1], [5, 1], [10, 2], [14, 1]], 1/672000], [[[1, 2], [2, 3], [3, 1], [5, 1], [10, 2], [18, 1]], 1/1555200], [[[1, 2], [2, 3], [3, 1], [5, 1], [12, 2], [14, 1]], 1/322560], [[[1, 2], [2, 3], [3, 1], [5, 1], [12, 2], [18, 1]], 1/746496], [[[1, 2], [2, 3], [3, 1], [5, 1], [14, 1], [15, 1]], 1/33600], [[[1, 2], [2, 3], [3, 1], [5, 1], [14, 1], [20, 1]], 1/22400], [[[1, 2], [2, 3], [3, 1], [5, 1], [14, 1], [24, 1]], 1/26880], [[[1, 2], [2, 3], [3, 1], [5, 1], [14, 1], [30, 1]], 1/33600], [[[1, 2], [2, 3], [3, 1], [5, 1], [15, 1], [18, 1]], 1/77760], [[[1, 2], [2, 3], [3, 1], [5, 1], [18, 1], [20, 1]], 1/51840], [[[1, 2], [2, 3], [3, 1], [5, 1], [18, 1], [24, 1]], 1/62208], [[[1, 2], [2, 3], [3, 1], [5, 1], [18, 1], [30, 1]], 1/77760], [[[1, 2], [2, 3], [3, 1], [5, 2], [6, 1], [8, 2]], 41/33177600], [[[1, 2], [2, 3], [3, 1], [5, 2], [6, 1], [10, 2]], 301/20736000], [[[1, 2], [2, 3], [3, 1], [5, 2], [6, 1], [12, 2]], 11/9953280], [[[1, 2], [2, 3], [3, 1], [5, 2], [6, 1], [15, 1]], 1/1036800], [[[1, 2], [2, 3], [3, 1], [5, 2], [6, 1], [20, 1]], 1/691200], [[[1, 2], [2, 3], [3, 1], [5, 2], [6, 1], [24, 1]], 17/4147200], [[[1, 2], [2, 3], [3, 1], [5, 2], [6, 1], [30, 1]], 1/1036800], [[[1, 2], [2, 3], [3, 1], [5, 2], [6, 2], [7, 1]], 1/9676800], [[[1, 2], [2, 3], [3, 1], [5, 2], [6, 2], [9, 1]], 19/111974400], [[[1, 2], [2, 3], [3, 1], [5, 2], [6, 2], [14, 1]], 1/4147200], [[[1, 2], [2, 3], [3, 1], [5, 2], [6, 2], [18, 1]], 73/111974400], [[[1, 2], [2, 3], [3, 1], [5, 2], [6, 3], [8, 1]], 31/447897600], [[[1, 2], [2, 3], [3, 1], [5, 2], [6, 3], [10, 1]], 7/62208000], [[[1, 2], [2, 3], [3, 1], [5, 2], [6, 3], [12, 1]], 53/268738560], [[[1, 2], [2, 3], [3, 1], [5, 2], [7, 1], [8, 1]], 1/1612800], [[[1, 2], [2, 3], [3, 1], [5, 2], [7, 1], [12, 1]], 1/1612800], [[[1, 2], [2, 3], [3, 1], [5, 2], [8, 1], [9, 1]], 19/24883200], [[[1, 2], [2, 3], [3, 1], [5, 2], [8, 1], [14, 1]], 1/806400], [[[1, 2], [2, 3], [3, 1], [5, 2], [8, 1], [18, 1]], 1/1555200], [[[1, 2], [2, 3], [3, 1], [5, 2], [9, 1], [10, 1]], 1/3110400], [[[1, 2], [2, 3], [3, 1], [5, 2], [9, 1], [12, 1]], 1/2073600], [[[1, 2], [2, 3], [3, 1], [5, 2], [12, 1], [14, 1]], 1/691200], [[[1, 2], [2, 3], [3, 1], [5, 2], [12, 1], [18, 1]], 13/18662400], [[[1, 2], [2, 3], [3, 1], [5, 3], [6, 1], [8, 1]], 1/3456000], [[[1, 2], [2, 3], [3, 1], [5, 3], [6, 1], [10, 1]], 11/1440000], [[[1, 2], [2, 3], [3, 1], [5, 3], [6, 1], [12, 1]], 1/2073600], [[[1, 2], [2, 3], [3, 1], [6, 1], [8, 1], [9, 2]], 1/186624], [[[1, 2], [2, 3], [3, 1], [6, 1], [8, 1], [10, 3]], 1/1728000], [[[1, 2], [2, 3], [3, 1], [6, 1], [8, 1], [12, 3]], 7/3981312], [[[1, 2], [2, 3], [3, 1], [6, 1], [8, 1], [18, 2]], 1/139968], [[[1, 2], [2, 3], [3, 1], [6, 1], [8, 2], [10, 2]], 41/33177600], [[[1, 2], [2, 3], [3, 1], [6, 1], [8, 2], [12, 2]], 91/15925248], [[[1, 2], [2, 3], [3, 1], [6, 1], [8, 2], [15, 1]], 41/1658880], [[[1, 2], [2, 3], [3, 1], [6, 1], [8, 2], [20, 1]], 41/1105920], [[[1, 2], [2, 3], [3, 1], [6, 1], [8, 2], [24, 1]], 71/442368], [[[1, 2], [2, 3], [3, 1], [6, 1], [8, 2], [30, 1]], 41/1658880], [[[1, 2], [2, 3], [3, 1], [6, 1], [8, 3], [10, 1]], 1/552960], [[[1, 2], [2, 3], [3, 1], [6, 1], [8, 3], [12, 1]], 7/2654208], [[[1, 2], [2, 3], [3, 1], [6, 1], [9, 2], [10, 1]], 7/699840], [[[1, 2], [2, 3], [3, 1], [6, 1], [9, 2], [12, 1]], 13/1679616], [[[1, 2], [2, 3], [3, 1], [6, 1], [10, 1], [12, 3]], 7/4976640], [[[1, 2], [2, 3], [3, 1], [6, 1], [10, 2], [12, 2]], 11/9953280], [[[1, 2], [2, 3], [3, 1], [6, 1], [10, 2], [15, 1]], 1/1036800], [[[1, 2], [2, 3], [3, 1], [6, 1], [10, 2], [20, 1]], 1/691200], [[[1, 2], [2, 3], [3, 1], [6, 1], [10, 2], [24, 1]], 17/4147200], [[[1, 2], [2, 3], [3, 1], [6, 1], [10, 2], [30, 1]], 1/1036800], [[[1, 2], [2, 3], [3, 1], [6, 1], [10, 3], [12, 1]], 7/10368000], [[[1, 2], [2, 3], [3, 1], [6, 1], [12, 1], [18, 2]], 13/1679616], [[[1, 2], [2, 3], [3, 1], [6, 1], [12, 1], [36, 1]], 5/31104], [[[1, 2], [2, 3], [3, 1], [6, 1], [12, 2], [15, 1]], 11/497664], [[[1, 2], [2, 3], [3, 1], [6, 1], [12, 2], [20, 1]], 11/331776], [[[1, 2], [2, 3], [3, 1], [6, 1], [12, 2], [24, 1]], 127/1990656], [[[1, 2], [2, 3], [3, 1], [6, 1], [12, 2], [30, 1]], 11/497664], [[[1, 2], [2, 3], [3, 1], [6, 1], [15, 1], [20, 1]], 1/34560], [[[1, 2], [2, 3], [3, 1], [6, 1], [15, 1], [24, 1]], 17/207360], [[[1, 2], [2, 3], [3, 1], [6, 1], [15, 1], [30, 1]], 1/3240], [[[1, 2], [2, 3], [3, 1], [6, 1], [20, 1], [24, 1]], 17/138240], [[[1, 2], [2, 3], [3, 1], [6, 1], [20, 1], [30, 1]], 1/34560], [[[1, 2], [2, 3], [3, 1], [6, 1], [24, 1], [30, 1]], 17/207360], [[[1, 2], [2, 3], [3, 1], [6, 2], [7, 1], [8, 2]], 1/3096576], [[[1, 2], [2, 3], [3, 1], [6, 2], [7, 1], [10, 2]], 1/9676800], [[[1, 2], [2, 3], [3, 1], [6, 2], [7, 1], [12, 2]], 1/663552], [[[1, 2], [2, 3], [3, 1], [6, 2], [7, 1], [15, 1]], 1/483840], [[[1, 2], [2, 3], [3, 1], [6, 2], [7, 1], [20, 1]], 1/322560], [[[1, 2], [2, 3], [3, 1], [6, 2], [7, 1], [24, 1]], 1/387072], [[[1, 2], [2, 3], [3, 1], [6, 2], [7, 1], [30, 1]], 1/483840], [[[1, 2], [2, 3], [3, 1], [6, 2], [8, 2], [9, 1]], 91/35831808], [[[1, 2], [2, 3], [3, 1], [6, 2], [8, 2], [14, 1]], 1/1327104], [[[1, 2], [2, 3], [3, 1], [6, 2], [8, 2], [18, 1]], 505/35831808], [[[1, 2], [2, 3], [3, 1], [6, 2], [9, 1], [10, 2]], 451/111974400], [[[1, 2], [2, 3], [3, 1], [6, 2], [9, 1], [12, 2]], 253/53747712], [[[1, 2], [2, 3], [3, 1], [6, 2], [9, 1], [15, 1]], 19/5598720], [[[1, 2], [2, 3], [3, 1], [6, 2], [9, 1], [20, 1]], 19/3732480], [[[1, 2], [2, 3], [3, 1], [6, 2], [9, 1], [24, 1]], 19/4478976], [[[1, 2], [2, 3], [3, 1], [6, 2], [9, 1], [30, 1]], 19/5598720], [[[1, 2], [2, 3], [3, 1], [6, 2], [10, 2], [14, 1]], 1/4147200], [[[1, 2], [2, 3], [3, 1], [6, 2], [10, 2], [18, 1]], 73/111974400], [[[1, 2], [2, 3], [3, 1], [6, 2], [12, 2], [14, 1]], 7/1990656], [[[1, 2], [2, 3], [3, 1], [6, 2], [12, 2], [18, 1]], 751/53747712], [[[1, 2], [2, 3], [3, 1], [6, 2], [14, 1], [15, 1]], 1/207360], [[[1, 2], [2, 3], [3, 1], [6, 2], [14, 1], [20, 1]], 1/138240], [[[1, 2], [2, 3], [3, 1], [6, 2], [14, 1], [24, 1]], 1/165888], [[[1, 2], [2, 3], [3, 1], [6, 2], [14, 1], [30, 1]], 1/207360], [[[1, 2], [2, 3], [3, 1], [6, 2], [15, 1], [18, 1]], 73/5598720], [[[1, 2], [2, 3], [3, 1], [6, 2], [18, 1], [20, 1]], 73/3732480], [[[1, 2], [2, 3], [3, 1], [6, 2], [18, 1], [24, 1]], 217/4478976], [[[1, 2], [2, 3], [3, 1], [6, 2], [18, 1], [30, 1]], 73/5598720], [[[1, 2], [2, 3], [3, 1], [6, 3], [7, 1], [9, 1]], 5/23514624], [[[1, 2], [2, 3], [3, 1], [6, 3], [7, 1], [18, 1]], 1/870912], [[[1, 2], [2, 3], [3, 1], [6, 3], [8, 1], [10, 2]], 31/447897600], [[[1, 2], [2, 3], [3, 1], [6, 3], [8, 1], [12, 2]], 409/214990848], [[[1, 2], [2, 3], [3, 1], [6, 3], [8, 1], [15, 1]], 31/22394880], [[[1, 2], [2, 3], [3, 1], [6, 3], [8, 1], [20, 1]], 31/14929920], [[[1, 2], [2, 3], [3, 1], [6, 3], [8, 1], [24, 1]], 7807/17915904], [[[1, 2], [2, 3], [3, 1], [6, 3], [8, 1], [30, 1]], 31/22394880], [[[1, 2], [2, 3], [3, 1], [6, 3], [8, 2], [10, 1]], 7/19906560], [[[1, 2], [2, 3], [3, 1], [6, 3], [8, 2], [12, 1]], 1237/429981696], [[[1, 2], [2, 3], [3, 1], [6, 3], [9, 1], [14, 1]], 1/3359232], [[[1, 2], [2, 3], [3, 1], [6, 3], [9, 1], [18, 1]], 4483/3779136], [[[1, 2], [2, 3], [3, 1], [6, 3], [10, 1], [12, 2]], 49/29859840], [[[1, 2], [2, 3], [3, 1], [6, 3], [10, 1], [15, 1]], 7/3110400], [[[1, 2], [2, 3], [3, 1], [6, 3], [10, 1], [20, 1]], 7/2073600], [[[1, 2], [2, 3], [3, 1], [6, 3], [10, 1], [24, 1]], 7/2488320], [[[1, 2], [2, 3], [3, 1], [6, 3], [10, 1], [30, 1]], 4327/3110400], [[[1, 2], [2, 3], [3, 1], [6, 3], [10, 2], [12, 1]], 53/268738560], [[[1, 2], [2, 3], [3, 1], [6, 3], [12, 1], [15, 1]], 53/13436928], [[[1, 2], [2, 3], [3, 1], [6, 3], [12, 1], [20, 1]], 53/8957952], [[[1, 2], [2, 3], [3, 1], [6, 3], [12, 1], [24, 1]], 589/53747712], [[[1, 2], [2, 3], [3, 1], [6, 3], [12, 1], [30, 1]], 53/13436928], [[[1, 2], [2, 3], [3, 1], [6, 3], [14, 1], [18, 1]], 1/373248], [[[1, 2], [2, 3], [3, 1], [6, 4], [7, 1], [8, 1]], 1/418037760], [[[1, 2], [2, 3], [3, 1], [6, 4], [7, 1], [12, 1]], 13/59719680], [[[1, 2], [2, 3], [3, 1], [6, 4], [8, 1], [9, 1]], 659/6449725440], [[[1, 2], [2, 3], [3, 1], [6, 4], [8, 1], [14, 1]], 1/209018880], [[[1, 2], [2, 3], [3, 1], [6, 4], [8, 1], [18, 1]], 311/403107840], [[[1, 2], [2, 3], [3, 1], [6, 4], [9, 1], [10, 1]], 113/806215680], [[[1, 2], [2, 3], [3, 1], [6, 4], [9, 1], [12, 1]], 773/1612431360], [[[1, 2], [2, 3], [3, 1], [6, 4], [10, 1], [18, 1]], 7/5598720], [[[1, 2], [2, 3], [3, 1], [6, 4], [12, 1], [14, 1]], 91/179159040], [[[1, 2], [2, 3], [3, 1], [6, 4], [12, 1], [18, 1]], 11783/4837294080], [[[1, 2], [2, 3], [3, 1], [6, 5], [8, 1], [10, 1]], 1/447897600], [[[1, 2], [2, 3], [3, 1], [6, 5], [8, 1], [12, 1]], 317/2149908480], [[[1, 2], [2, 3], [3, 1], [6, 5], [10, 1], [12, 1]], 637/2687385600], [[[1, 2], [2, 3], [3, 1], [7, 1], [8, 1], [10, 2]], 1/1612800], [[[1, 2], [2, 3], [3, 1], [7, 1], [8, 1], [12, 2]], 1/774144], [[[1, 2], [2, 3], [3, 1], [7, 1], [8, 1], [15, 1]], 1/80640], [[[1, 2], [2, 3], [3, 1], [7, 1], [8, 1], [20, 1]], 1/53760], [[[1, 2], [2, 3], [3, 1], [7, 1], [8, 1], [24, 1]], 1/64512], [[[1, 2], [2, 3], [3, 1], [7, 1], [8, 1], [30, 1]], 1/80640], [[[1, 2], [2, 3], [3, 1], [7, 1], [8, 2], [12, 1]], 1/516096], [[[1, 2], [2, 3], [3, 1], [7, 1], [9, 1], [14, 1]], 17/84672], [[[1, 2], [2, 3], [3, 1], [7, 1], [9, 1], [18, 1]], 5/326592], [[[1, 2], [2, 3], [3, 1], [7, 1], [10, 2], [12, 1]], 1/1612800], [[[1, 2], [2, 3], [3, 1], [7, 1], [12, 1], [15, 1]], 1/80640], [[[1, 2], [2, 3], [3, 1], [7, 1], [12, 1], [20, 1]], 1/53760], [[[1, 2], [2, 3], [3, 1], [7, 1], [12, 1], [24, 1]], 1/64512], [[[1, 2], [2, 3], [3, 1], [7, 1], [12, 1], [30, 1]], 1/80640], [[[1, 2], [2, 3], [3, 1], [8, 1], [9, 1], [10, 2]], 19/24883200], [[[1, 2], [2, 3], [3, 1], [8, 1], [9, 1], [12, 2]], 19/11943936], [[[1, 2], [2, 3], [3, 1], [8, 1], [9, 1], [15, 1]], 19/1244160], [[[1, 2], [2, 3], [3, 1], [8, 1], [9, 1], [16, 1]], 1/27648], [[[1, 2], [2, 3], [3, 1], [8, 1], [9, 1], [20, 1]], 19/829440], [[[1, 2], [2, 3], [3, 1], [8, 1], [9, 1], [24, 1]], 19/995328], [[[1, 2], [2, 3], [3, 1], [8, 1], [9, 1], [30, 1]], 19/1244160], [[[1, 2], [2, 3], [3, 1], [8, 1], [10, 2], [14, 1]], 1/806400], [[[1, 2], [2, 3], [3, 1], [8, 1], [10, 2], [18, 1]], 1/1555200], [[[1, 2], [2, 3], [3, 1], [8, 1], [12, 2], [14, 1]], 1/387072], [[[1, 2], [2, 3], [3, 1], [8, 1], [12, 2], [18, 1]], 1/746496], [[[1, 2], [2, 3], [3, 1], [8, 1], [14, 1], [15, 1]], 1/40320], [[[1, 2], [2, 3], [3, 1], [8, 1], [14, 1], [20, 1]], 1/26880], [[[1, 2], [2, 3], [3, 1], [8, 1], [14, 1], [24, 1]], 1/32256], [[[1, 2], [2, 3], [3, 1], [8, 1], [14, 1], [30, 1]], 1/40320], [[[1, 2], [2, 3], [3, 1], [8, 1], [15, 1], [18, 1]], 1/77760], [[[1, 2], [2, 3], [3, 1], [8, 1], [18, 1], [20, 1]], 1/51840], [[[1, 2], [2, 3], [3, 1], [8, 1], [18, 1], [24, 1]], 1/62208], [[[1, 2], [2, 3], [3, 1], [8, 1], [18, 1], [30, 1]], 1/77760], [[[1, 2], [2, 3], [3, 1], [8, 2], [9, 1], [10, 1]], 1/995328], [[[1, 2], [2, 3], [3, 1], [8, 2], [9, 1], [12, 1]], 1/663552], [[[1, 2], [2, 3], [3, 1], [8, 2], [12, 1], [14, 1]], 1/221184], [[[1, 2], [2, 3], [3, 1], [8, 2], [12, 1], [18, 1]], 13/5971968], [[[1, 2], [2, 3], [3, 1], [9, 1], [10, 1], [12, 2]], 1/1492992], [[[1, 2], [2, 3], [3, 1], [9, 1], [10, 1], [15, 1]], 1/155520], [[[1, 2], [2, 3], [3, 1], [9, 1], [10, 1], [20, 1]], 1/103680], [[[1, 2], [2, 3], [3, 1], [9, 1], [10, 1], [24, 1]], 1/124416], [[[1, 2], [2, 3], [3, 1], [9, 1], [10, 1], [30, 1]], 1/155520], [[[1, 2], [2, 3], [3, 1], [9, 1], [10, 2], [12, 1]], 1/2073600], [[[1, 2], [2, 3], [3, 1], [9, 1], [12, 1], [15, 1]], 1/103680], [[[1, 2], [2, 3], [3, 1], [9, 1], [12, 1], [20, 1]], 1/69120], [[[1, 2], [2, 3], [3, 1], [9, 1], [12, 1], [24, 1]], 1/82944], [[[1, 2], [2, 3], [3, 1], [9, 1], [12, 1], [30, 1]], 1/103680], [[[1, 2], [2, 3], [3, 1], [9, 1], [14, 1], [18, 1]], 1/46656], [[[1, 2], [2, 3], [3, 1], [10, 2], [12, 1], [14, 1]], 1/691200], [[[1, 2], [2, 3], [3, 1], [10, 2], [12, 1], [18, 1]], 13/18662400], [[[1, 2], [2, 3], [3, 1], [12, 1], [14, 1], [15, 1]], 1/34560], [[[1, 2], [2, 3], [3, 1], [12, 1], [14, 1], [20, 1]], 1/23040], [[[1, 2], [2, 3], [3, 1], [12, 1], [14, 1], [24, 1]], 1/27648], [[[1, 2], [2, 3], [3, 1], [12, 1], [14, 1], [30, 1]], 1/34560], [[[1, 2], [2, 3], [3, 1], [12, 1], [15, 1], [18, 1]], 13/933120], [[[1, 2], [2, 3], [3, 1], [12, 1], [18, 1], [20, 1]], 13/622080], [[[1, 2], [2, 3], [3, 1], [12, 1], [18, 1], [24, 1]], 13/746496], [[[1, 2], [2, 3], [3, 1], [12, 1], [18, 1], [30, 1]], 13/933120], [[[1, 2], [2, 3], [3, 2], [4, 1], [5, 1], [6, 5]], 13/2687385600], [[[1, 2], [2, 3], [3, 2], [4, 1], [5, 2], [6, 3]], 19/398131200], [[[1, 2], [2, 3], [3, 2], [4, 1], [5, 2], [9, 1]], 151/37324800], [[[1, 2], [2, 3], [3, 2], [4, 1], [5, 3], [6, 1]], 1/3456000], [[[1, 2], [2, 3], [3, 2], [4, 1], [6, 1], [8, 3]], 35/10616832], [[[1, 2], [2, 3], [3, 2], [4, 1], [6, 1], [9, 2]], 11/2239488], [[[1, 2], [2, 3], [3, 2], [4, 1], [6, 1], [10, 3]], 1/10368000], [[[1, 2], [2, 3], [3, 2], [4, 1], [6, 1], [12, 3]], 6155/286654464], [[[1, 2], [2, 3], [3, 2], [4, 1], [6, 1], [28, 1]], 1/24192], [[[1, 2], [2, 3], [3, 2], [4, 1], [6, 1], [36, 1]], 1/31104], [[[1, 2], [2, 3], [3, 2], [4, 1], [6, 3], [8, 2]], 85/127401984], [[[1, 2], [2, 3], [3, 2], [4, 1], [6, 3], [10, 2]], 23/79626240], [[[1, 2], [2, 3], [3, 2], [4, 1], [6, 3], [12, 2]], 52957/1719926784], [[[1, 2], [2, 3], [3, 2], [4, 1], [6, 3], [15, 1]], 19/19906560], [[[1, 2], [2, 3], [3, 2], [4, 1], [6, 3], [16, 1]], 1/55296], [[[1, 2], [2, 3], [3, 2], [4, 1], [6, 3], [20, 1]], 19/13271040], [[[1, 2], [2, 3], [3, 2], [4, 1], [6, 3], [24, 1]], 523/15925248], [[[1, 2], [2, 3], [3, 2], [4, 1], [6, 3], [30, 1]], 19/19906560], [[[1, 2], [2, 3], [3, 2], [4, 1], [6, 4], [9, 1]], 647/9674588160], [[[1, 2], [2, 3], [3, 2], [4, 1], [6, 4], [18, 1]], 19/35831808], [[[1, 2], [2, 3], [3, 2], [4, 1], [6, 5], [8, 1]], 43/2866544640], [[[1, 2], [2, 3], [3, 2], [4, 1], [6, 5], [10, 1]], 11/2687385600], [[[1, 2], [2, 3], [3, 2], [4, 1], [6, 5], [12, 1]], 28579/51597803520], [[[1, 2], [2, 3], [3, 2], [4, 1], [7, 1], [12, 2]], 1/387072], [[[1, 2], [2, 3], [3, 2], [4, 1], [8, 2], [9, 1]], 205/11943936], [[[1, 2], [2, 3], [3, 2], [4, 1], [9, 1], [10, 2]], 7/37324800], [[[1, 2], [2, 3], [3, 2], [4, 1], [9, 1], [12, 2]], 187/17915904], [[[1, 2], [2, 3], [3, 2], [4, 1], [9, 1], [15, 1]], 7/1866240], [[[1, 2], [2, 3], [3, 2], [4, 1], [9, 1], [20, 1]], 7/1244160], [[[1, 2], [2, 3], [3, 2], [4, 1], [9, 1], [24, 1]], 7/1492992], [[[1, 2], [2, 3], [3, 2], [4, 1], [9, 1], [30, 1]], 7/1866240], [[[1, 2], [2, 3], [3, 2], [4, 1], [12, 2], [14, 1]], 1/193536], [[[1, 2], [2, 3], [3, 2], [4, 1], [12, 2], [18, 1]], 1/373248], [[[1, 2], [2, 3], [3, 2], [4, 2], [5, 1], [12, 2]], 1/221184], [[[1, 2], [2, 3], [3, 2], [4, 2], [5, 2], [6, 2]], 691/424673280], [[[1, 2], [2, 3], [3, 2], [4, 2], [5, 2], [12, 1]], 1003/637009920], [[[1, 2], [2, 3], [3, 2], [4, 2], [6, 2], [8, 2]], 4859/679477248], [[[1, 2], [2, 3], [3, 2], [4, 2], [6, 2], [10, 2]], 691/424673280], [[[1, 2], [2, 3], [3, 2], [4, 2], [6, 2], [12, 2]], 13943537/9172942848], [[[1, 2], [2, 3], [3, 2], [4, 2], [6, 2], [15, 1]], 3263/106168320], [[[1, 2], [2, 3], [3, 2], [4, 2], [6, 2], [16, 1]], 11/147456], [[[1, 2], [2, 3], [3, 2], [4, 2], [6, 2], [20, 1]], 3391/70778880], [[[1, 2], [2, 3], [3, 2], [4, 2], [6, 2], [24, 1]], 10103/84934656], [[[1, 2], [2, 3], [3, 2], [4, 2], [6, 2], [30, 1]], 3263/106168320], [[[1, 2], [2, 3], [3, 2], [4, 2], [6, 3], [7, 1]], 1/27869184], [[[1, 2], [2, 3], [3, 2], [4, 2], [6, 3], [9, 1]], 23/241864704], [[[1, 2], [2, 3], [3, 2], [4, 2], [6, 3], [14, 1]], 1/55738368], [[[1, 2], [2, 3], [3, 2], [4, 2], [6, 3], [18, 1]], 9797/573308928], [[[1, 2], [2, 3], [3, 2], [4, 2], [6, 4], [8, 1]], 1/95551488], [[[1, 2], [2, 3], [3, 2], [4, 2], [6, 4], [10, 1]], 1/119439360], [[[1, 2], [2, 3], [3, 2], [4, 2], [6, 4], [12, 1]], 820361/165112971264], [[[1, 2], [2, 3], [3, 2], [4, 2], [8, 1], [12, 2]], 149/7962624], [[[1, 2], [2, 3], [3, 2], [4, 2], [8, 1], [16, 1]], 1/147456], [[[1, 2], [2, 3], [3, 2], [4, 2], [8, 2], [12, 1]], 17651/1019215872], [[[1, 2], [2, 3], [3, 2], [4, 2], [9, 1], [14, 1]], 1/1741824], [[[1, 2], [2, 3], [3, 2], [4, 2], [9, 1], [18, 1]], 1/6718464], [[[1, 2], [2, 3], [3, 2], [4, 2], [10, 1], [12, 2]], 23/9953280], [[[1, 2], [2, 3], [3, 2], [4, 2], [10, 2], [12, 1]], 1943/3185049600], [[[1, 2], [2, 3], [3, 2], [4, 2], [12, 1], [15, 1]], 43/31850496], [[[1, 2], [2, 3], [3, 2], [4, 2], [12, 1], [16, 1]], 1/73728], [[[1, 2], [2, 3], [3, 2], [4, 2], [12, 1], [20, 1]], 2903/106168320], [[[1, 2], [2, 3], [3, 2], [4, 2], [12, 1], [24, 1]], 983/127401984], [[[1, 2], [2, 3], [3, 2], [4, 2], [12, 1], [30, 1]], 43/31850496], [[[1, 2], [2, 3], [3, 2], [4, 3], [5, 1], [6, 3]], 1/79626240], [[[1, 2], [2, 3], [3, 2], [4, 3], [5, 1], [9, 1]], 1/4976640], [[[1, 2], [2, 3], [3, 2], [4, 3], [5, 2], [6, 1]], 1/199065600], [[[1, 2], [2, 3], [3, 2], [4, 3], [6, 1], [8, 2]], 625/63700992], [[[1, 2], [2, 3], [3, 2], [4, 3], [6, 1], [10, 2]], 1/199065600], [[[1, 2], [2, 3], [3, 2], [4, 3], [6, 1], [12, 2]], 4087/95551488], [[[1, 2], [2, 3], [3, 2], [4, 3], [6, 1], [15, 1]], 1/9953280], [[[1, 2], [2, 3], [3, 2], [4, 3], [6, 1], [16, 1]], 1/331776], [[[1, 2], [2, 3], [3, 2], [4, 3], [6, 1], [20, 1]], 13/1327104], [[[1, 2], [2, 3], [3, 2], [4, 3], [6, 1], [24, 1]], 1/7962624], [[[1, 2], [2, 3], [3, 2], [4, 3], [6, 1], [30, 1]], 1/9953280], [[[1, 2], [2, 3], [3, 2], [4, 3], [6, 2], [7, 1]], 1/74317824], [[[1, 2], [2, 3], [3, 2], [4, 3], [6, 2], [9, 1]], 79/286654464], [[[1, 2], [2, 3], [3, 2], [4, 3], [6, 2], [14, 1]], 1/37158912], [[[1, 2], [2, 3], [3, 2], [4, 3], [6, 2], [18, 1]], 5/71663616], [[[1, 2], [2, 3], [3, 2], [4, 3], [6, 3], [8, 1]], 397/254803968], [[[1, 2], [2, 3], [3, 2], [4, 3], [6, 3], [10, 1]], 1/39813120], [[[1, 2], [2, 3], [3, 2], [4, 3], [6, 3], [12, 1]], 10747/859963392], [[[1, 2], [2, 3], [3, 2], [4, 3], [7, 1], [12, 1]], 1/12386304], [[[1, 2], [2, 3], [3, 2], [4, 3], [8, 1], [9, 1]], 1/2654208], [[[1, 2], [2, 3], [3, 2], [4, 3], [9, 1], [12, 1]], 269/143327232], [[[1, 2], [2, 3], [3, 2], [4, 3], [12, 1], [14, 1]], 1/6193152], [[[1, 2], [2, 3], [3, 2], [4, 3], [12, 1], [18, 1]], 1/11943936], [[[1, 2], [2, 3], [3, 2], [4, 4], [5, 1], [6, 2]], 43/4246732800], [[[1, 2], [2, 3], [3, 2], [4, 4], [5, 1], [8, 1]], 1/265420800], [[[1, 2], [2, 3], [3, 2], [4, 4], [5, 1], [12, 1]], 43/707788800], [[[1, 2], [2, 3], [3, 2], [4, 4], [6, 1], [7, 1]], 1/445906944], [[[1, 2], [2, 3], [3, 2], [4, 4], [6, 1], [9, 1]], 7513/8599633920], [[[1, 2], [2, 3], [3, 2], [4, 4], [6, 1], [14, 1]], 1/318504960], [[[1, 2], [2, 3], [3, 2], [4, 4], [6, 1], [18, 1]], 7/2866544640], [[[1, 2], [2, 3], [3, 2], [4, 4], [6, 2], [8, 1]], 382259/61152952320], [[[1, 2], [2, 3], [3, 2], [4, 4], [6, 2], [10, 1]], 421/38220595200], [[[1, 2], [2, 3], [3, 2], [4, 4], [6, 2], [12, 1]], 469243/11466178560], [[[1, 2], [2, 3], [3, 2], [4, 4], [8, 1], [12, 1]], 2711/2038431744], [[[1, 2], [2, 3], [3, 2], [4, 4], [10, 1], [12, 1]], 73/1274019840], [[[1, 2], [2, 3], [3, 2], [4, 5], [5, 1], [6, 1]], 1/265420800], [[[1, 2], [2, 3], [3, 2], [4, 5], [6, 1], [8, 1]], 211/2548039680], [[[1, 2], [2, 3], [3, 2], [4, 5], [6, 1], [10, 1]], 1/796262400], [[[1, 2], [2, 3], [3, 2], [4, 5], [6, 1], [12, 1]], 2837/15288238080], [[[1, 2], [2, 3], [3, 2], [5, 1], [6, 2], [8, 2]], 1/5898240], [[[1, 2], [2, 3], [3, 2], [5, 1], [6, 2], [10, 2]], 1/18432000], [[[1, 2], [2, 3], [3, 2], [5, 1], [6, 2], [12, 2]], 23/8847360], [[[1, 2], [2, 3], [3, 2], [5, 1], [6, 2], [15, 1]], 1921/921600], [[[1, 2], [2, 3], [3, 2], [5, 1], [6, 2], [20, 1]], 1/614400], [[[1, 2], [2, 3], [3, 2], [5, 1], [6, 2], [24, 1]], 1/81920], [[[1, 2], [2, 3], [3, 2], [5, 1], [6, 2], [30, 1]], 1/921600], [[[1, 2], [2, 3], [3, 2], [5, 1], [6, 3], [9, 1]], 1/10077696], [[[1, 2], [2, 3], [3, 2], [5, 1], [6, 3], [18, 1]], 1/1658880], [[[1, 2], [2, 3], [3, 2], [5, 1], [6, 4], [8, 1]], 1/895795200], [[[1, 2], [2, 3], [3, 2], [5, 1], [6, 4], [12, 1]], 91/796262400], [[[1, 2], [2, 3], [3, 2], [5, 1], [7, 1], [9, 1]], 1/181440], [[[1, 2], [2, 3], [3, 2], [5, 1], [8, 1], [10, 2]], 1/3456000], [[[1, 2], [2, 3], [3, 2], [5, 1], [8, 1], [12, 2]], 1/1658880], [[[1, 2], [2, 3], [3, 2], [5, 1], [8, 1], [15, 1]], 1/172800], [[[1, 2], [2, 3], [3, 2], [5, 1], [8, 1], [20, 1]], 1/115200], [[[1, 2], [2, 3], [3, 2], [5, 1], [8, 1], [24, 1]], 1/138240], [[[1, 2], [2, 3], [3, 2], [5, 1], [8, 1], [30, 1]], 1/172800], [[[1, 2], [2, 3], [3, 2], [5, 1], [8, 2], [12, 1]], 1/983040], [[[1, 2], [2, 3], [3, 2], [5, 1], [9, 1], [14, 1]], 1/60480], [[[1, 2], [2, 3], [3, 2], [5, 1], [9, 1], [18, 1]], 1/139968], [[[1, 2], [2, 3], [3, 2], [5, 1], [10, 2], [12, 1]], 1/3072000], [[[1, 2], [2, 3], [3, 2], [5, 1], [12, 1], [15, 1]], 1/153600], [[[1, 2], [2, 3], [3, 2], [5, 1], [12, 1], [20, 1]], 1/102400], [[[1, 2], [2, 3], [3, 2], [5, 1], [12, 1], [24, 1]], 1/122880], [[[1, 2], [2, 3], [3, 2], [5, 1], [12, 1], [30, 1]], 1/153600], [[[1, 2], [2, 3], [3, 2], [5, 2], [6, 1], [7, 1]], 1/5806080], [[[1, 2], [2, 3], [3, 2], [5, 2], [6, 1], [9, 1]], 73/111974400], [[[1, 2], [2, 3], [3, 2], [5, 2], [6, 1], [14, 1]], 1/4147200], [[[1, 2], [2, 3], [3, 2], [5, 2], [6, 1], [18, 1]], 11/7464960], [[[1, 2], [2, 3], [3, 2], [5, 2], [6, 2], [8, 1]], 119/796262400], [[[1, 2], [2, 3], [3, 2], [5, 2], [6, 2], [10, 1]], 61/497664000], [[[1, 2], [2, 3], [3, 2], [5, 2], [6, 2], [12, 1]], 1/2332800], [[[1, 2], [2, 3], [3, 2], [5, 2], [8, 1], [12, 1]], 11/26542080], [[[1, 2], [2, 3], [3, 2], [5, 2], [10, 1], [12, 1]], 1/16588800], [[[1, 2], [2, 3], [3, 2], [6, 1], [7, 1], [8, 2]], 5/9289728], [[[1, 2], [2, 3], [3, 2], [6, 1], [7, 1], [10, 2]], 1/5806080], [[[1, 2], [2, 3], [3, 2], [6, 1], [7, 1], [12, 2]], 5/1990656], [[[1, 2], [2, 3], [3, 2], [6, 1], [7, 1], [15, 1]], 1/290304], [[[1, 2], [2, 3], [3, 2], [6, 1], [7, 1], [20, 1]], 1/193536], [[[1, 2], [2, 3], [3, 2], [6, 1], [7, 1], [24, 1]], 5/1161216], [[[1, 2], [2, 3], [3, 2], [6, 1], [7, 1], [30, 1]], 1/290304], [[[1, 2], [2, 3], [3, 2], [6, 1], [8, 2], [9, 1]], 505/35831808], [[[1, 2], [2, 3], [3, 2], [6, 1], [8, 2], [14, 1]], 1/1327104], [[[1, 2], [2, 3], [3, 2], [6, 1], [8, 2], [18, 1]], 31/11943936], [[[1, 2], [2, 3], [3, 2], [6, 1], [9, 1], [10, 2]], 73/111974400], [[[1, 2], [2, 3], [3, 2], [6, 1], [9, 1], [12, 2]], 751/53747712], [[[1, 2], [2, 3], [3, 2], [6, 1], [9, 1], [15, 1]], 73/5598720], [[[1, 2], [2, 3], [3, 2], [6, 1], [9, 1], [20, 1]], 73/3732480], [[[1, 2], [2, 3], [3, 2], [6, 1], [9, 1], [24, 1]], 217/4478976], [[[1, 2], [2, 3], [3, 2], [6, 1], [9, 1], [30, 1]], 73/5598720], [[[1, 2], [2, 3], [3, 2], [6, 1], [10, 2], [14, 1]], 1/4147200], [[[1, 2], [2, 3], [3, 2], [6, 1], [10, 2], [18, 1]], 7/37324800], [[[1, 2], [2, 3], [3, 2], [6, 1], [12, 2], [14, 1]], 7/1990656], [[[1, 2], [2, 3], [3, 2], [6, 1], [12, 2], [18, 1]], 73/17915904], [[[1, 2], [2, 3], [3, 2], [6, 1], [14, 1], [15, 1]], 1/207360], [[[1, 2], [2, 3], [3, 2], [6, 1], [14, 1], [20, 1]], 1/138240], [[[1, 2], [2, 3], [3, 2], [6, 1], [14, 1], [24, 1]], 1/165888], [[[1, 2], [2, 3], [3, 2], [6, 1], [14, 1], [30, 1]], 1/207360], [[[1, 2], [2, 3], [3, 2], [6, 1], [15, 1], [18, 1]], 7/1866240], [[[1, 2], [2, 3], [3, 2], [6, 1], [18, 1], [20, 1]], 7/1244160], [[[1, 2], [2, 3], [3, 2], [6, 1], [18, 1], [24, 1]], 7/1492992], [[[1, 2], [2, 3], [3, 2], [6, 1], [18, 1], [30, 1]], 7/1866240], [[[1, 2], [2, 3], [3, 2], [6, 2], [7, 1], [9, 1]], 5/3483648], [[[1, 2], [2, 3], [3, 2], [6, 2], [7, 1], [14, 1]], 17/2709504], [[[1, 2], [2, 3], [3, 2], [6, 2], [7, 1], [18, 1]], 25/10450944], [[[1, 2], [2, 3], [3, 2], [6, 2], [8, 1], [10, 2]], 119/796262400], [[[1, 2], [2, 3], [3, 2], [6, 2], [8, 1], [12, 2]], 1841/382205952], [[[1, 2], [2, 3], [3, 2], [6, 2], [8, 1], [15, 1]], 119/39813120], [[[1, 2], [2, 3], [3, 2], [6, 2], [8, 1], [16, 1]], 1/884736], [[[1, 2], [2, 3], [3, 2], [6, 2], [8, 1], [20, 1]], 119/26542080], [[[1, 2], [2, 3], [3, 2], [6, 2], [8, 1], [24, 1]], 83567/31850496], [[[1, 2], [2, 3], [3, 2], [6, 2], [8, 1], [30, 1]], 119/39813120], [[[1, 2], [2, 3], [3, 2], [6, 2], [8, 2], [10, 1]], 61/159252480], [[[1, 2], [2, 3], [3, 2], [6, 2], [8, 2], [12, 1]], 1/746496], [[[1, 2], [2, 3], [3, 2], [6, 2], [9, 1], [14, 1]], 5/1492992], [[[1, 2], [2, 3], [3, 2], [6, 2], [9, 1], [18, 1]], 64505/13436928], [[[1, 2], [2, 3], [3, 2], [6, 2], [10, 1], [12, 2]], 1147/238878720], [[[1, 2], [2, 3], [3, 2], [6, 2], [10, 1], [15, 1]], 61/24883200], [[[1, 2], [2, 3], [3, 2], [6, 2], [10, 1], [20, 1]], 61/16588800], [[[1, 2], [2, 3], [3, 2], [6, 2], [10, 1], [24, 1]], 421/19906560], [[[1, 2], [2, 3], [3, 2], [6, 2], [10, 1], [30, 1]], 51901/24883200], [[[1, 2], [2, 3], [3, 2], [6, 2], [10, 2], [12, 1]], 17/18662400], [[[1, 2], [2, 3], [3, 2], [6, 2], [12, 1], [15, 1]], 7/1866240], [[[1, 2], [2, 3], [3, 2], [6, 2], [12, 1], [20, 1]], 7/1244160], [[[1, 2], [2, 3], [3, 2], [6, 2], [12, 1], [24, 1]], 7/1492992], [[[1, 2], [2, 3], [3, 2], [6, 2], [12, 1], [30, 1]], 7/1866240], [[[1, 2], [2, 3], [3, 2], [6, 2], [14, 1], [18, 1]], 5/1492992], [[[1, 2], [2, 3], [3, 2], [6, 3], [7, 1], [8, 1]], 1/4644864], [[[1, 2], [2, 3], [3, 2], [6, 3], [7, 1], [10, 1]], 1/1935360], [[[1, 2], [2, 3], [3, 2], [6, 3], [7, 1], [12, 1]], 95/125411328], [[[1, 2], [2, 3], [3, 2], [6, 3], [8, 1], [9, 1]], 151/161243136], [[[1, 2], [2, 3], [3, 2], [6, 3], [8, 1], [14, 1]], 1/2322432], [[[1, 2], [2, 3], [3, 2], [6, 3], [8, 1], [18, 1]], 5/2654208], [[[1, 2], [2, 3], [3, 2], [6, 3], [9, 1], [10, 1]], 7/4478976], [[[1, 2], [2, 3], [3, 2], [6, 3], [9, 1], [12, 1]], 1307/483729408], [[[1, 2], [2, 3], [3, 2], [6, 3], [10, 1], [14, 1]], 1/1935360], [[[1, 2], [2, 3], [3, 2], [6, 3], [10, 1], [18, 1]], 5/2985984], [[[1, 2], [2, 3], [3, 2], [6, 3], [12, 1], [14, 1]], 19/17915904], [[[1, 2], [2, 3], [3, 2], [6, 3], [12, 1], [18, 1]], 431/161243136], [[[1, 2], [2, 3], [3, 2], [6, 4], [8, 1], [10, 1]], 1/4976640], [[[1, 2], [2, 3], [3, 2], [6, 4], [8, 1], [12, 1]], 3433/6879707136], [[[1, 2], [2, 3], [3, 2], [6, 4], [10, 1], [12, 1]], 2219/4299816960], [[[1, 2], [2, 3], [3, 2], [7, 1], [8, 1], [9, 1]], 1/145152], [[[1, 2], [2, 3], [3, 2], [7, 1], [9, 1], [12, 1]], 5/580608], [[[1, 2], [2, 3], [3, 2], [7, 1], [12, 1], [14, 1]], 17/451584], [[[1, 2], [2, 3], [3, 2], [7, 1], [12, 1], [18, 1]], 5/1741824], [[[1, 2], [2, 3], [3, 2], [8, 1], [9, 1], [14, 1]], 1/72576], [[[1, 2], [2, 3], [3, 2], [8, 1], [9, 1], [18, 1]], 1/139968], [[[1, 2], [2, 3], [3, 2], [8, 1], [10, 2], [12, 1]], 11/26542080], [[[1, 2], [2, 3], [3, 2], [8, 1], [12, 1], [15, 1]], 11/1327104], [[[1, 2], [2, 3], [3, 2], [8, 1], [12, 1], [16, 1]], 1/147456], [[[1, 2], [2, 3], [3, 2], [8, 1], [12, 1], [20, 1]], 11/884736], [[[1, 2], [2, 3], [3, 2], [8, 1], [12, 1], [24, 1]], 55/5308416], [[[1, 2], [2, 3], [3, 2], [8, 1], [12, 1], [30, 1]], 11/1327104], [[[1, 2], [2, 3], [3, 2], [8, 2], [10, 1], [12, 1]], 1/5308416], [[[1, 2], [2, 3], [3, 2], [9, 1], [12, 1], [14, 1]], 5/248832], [[[1, 2], [2, 3], [3, 2], [9, 1], [12, 1], [18, 1]], 119/6718464], [[[1, 2], [2, 3], [3, 2], [10, 1], [12, 1], [15, 1]], 1/829440], [[[1, 2], [2, 3], [3, 2], [10, 1], [12, 1], [20, 1]], 1/552960], [[[1, 2], [2, 3], [3, 2], [10, 1], [12, 1], [24, 1]], 1/663552], [[[1, 2], [2, 3], [3, 2], [10, 1], [12, 1], [30, 1]], 1/829440], [[[1, 2], [2, 3], [3, 2], [12, 1], [14, 1], [18, 1]], 1/248832], [[[1, 2], [2, 3], [3, 3], [4, 1], [5, 1], [6, 4]], 811/32248627200], [[[1, 2], [2, 3], [3, 3], [4, 1], [5, 1], [8, 2]], 1/39813120], [[[1, 2], [2, 3], [3, 3], [4, 1], [5, 1], [10, 2]], 1/124416000], [[[1, 2], [2, 3], [3, 3], [4, 1], [5, 1], [12, 2]], 127/59719680], [[[1, 2], [2, 3], [3, 3], [4, 1], [5, 1], [15, 1]], 1/6220800], [[[1, 2], [2, 3], [3, 3], [4, 1], [5, 1], [20, 1]], 1/4147200], [[[1, 2], [2, 3], [3, 3], [4, 1], [5, 1], [24, 1]], 1/4976640], [[[1, 2], [2, 3], [3, 3], [4, 1], [5, 1], [30, 1]], 1/6220800], [[[1, 2], [2, 3], [3, 3], [4, 1], [5, 2], [6, 2]], 43/238878720], [[[1, 2], [2, 3], [3, 3], [4, 1], [5, 2], [8, 1]], 17/597196800], [[[1, 2], [2, 3], [3, 3], [4, 1], [5, 2], [10, 1]], 1/124416000], [[[1, 2], [2, 3], [3, 3], [4, 1], [5, 2], [12, 1]], 461/597196800], [[[1, 2], [2, 3], [3, 3], [4, 1], [6, 2], [8, 2]], 269/382205952], [[[1, 2], [2, 3], [3, 3], [4, 1], [6, 2], [10, 2]], 71/1194393600], [[[1, 2], [2, 3], [3, 3], [4, 1], [6, 2], [12, 2]], 1609/63700992], [[[1, 2], [2, 3], [3, 3], [4, 1], [6, 2], [15, 1]], 71/59719680], [[[1, 2], [2, 3], [3, 3], [4, 1], [6, 2], [16, 1]], 1/41472], [[[1, 2], [2, 3], [3, 3], [4, 1], [6, 2], [20, 1]], 71/39813120], [[[1, 2], [2, 3], [3, 3], [4, 1], [6, 2], [24, 1]], 1727/47775744], [[[1, 2], [2, 3], [3, 3], [4, 1], [6, 2], [30, 1]], 71/59719680], [[[1, 2], [2, 3], [3, 3], [4, 1], [6, 3], [7, 1]], 25/6967296], [[[1, 2], [2, 3], [3, 3], [4, 1], [6, 3], [9, 1]], 119/35831808], [[[1, 2], [2, 3], [3, 3], [4, 1], [6, 3], [14, 1]], 25/3483648], [[[1, 2], [2, 3], [3, 3], [4, 1], [6, 3], [18, 1]], 157/35831808], [[[1, 2], [2, 3], [3, 3], [4, 1], [6, 4], [8, 1]], 337787/154793410560], [[[1, 2], [2, 3], [3, 3], [4, 1], [6, 4], [10, 1]], 108811/32248627200], [[[1, 2], [2, 3], [3, 3], [4, 1], [6, 4], [12, 1]], 926159/154793410560], [[[1, 2], [2, 3], [3, 3], [4, 1], [7, 1], [14, 1]], 1/290304], [[[1, 2], [2, 3], [3, 3], [4, 1], [8, 1], [10, 2]], 17/597196800], [[[1, 2], [2, 3], [3, 3], [4, 1], [8, 1], [12, 2]], 1367/286654464], [[[1, 2], [2, 3], [3, 3], [4, 1], [8, 1], [15, 1]], 17/29859840], [[[1, 2], [2, 3], [3, 3], [4, 1], [8, 1], [16, 1]], 5/663552], [[[1, 2], [2, 3], [3, 3], [4, 1], [8, 1], [20, 1]], 13/3981312], [[[1, 2], [2, 3], [3, 3], [4, 1], [8, 1], [24, 1]], 113/23887872], [[[1, 2], [2, 3], [3, 3], [4, 1], [8, 1], [30, 1]], 17/29859840], [[[1, 2], [2, 3], [3, 3], [4, 1], [8, 2], [10, 1]], 1/39813120], [[[1, 2], [2, 3], [3, 3], [4, 1], [8, 2], [12, 1]], 623/191102976], [[[1, 2], [2, 3], [3, 3], [4, 1], [9, 1], [18, 1]], 1/373248], [[[1, 2], [2, 3], [3, 3], [4, 1], [10, 1], [12, 2]], 11/11943936], [[[1, 2], [2, 3], [3, 3], [4, 1], [10, 1], [15, 1]], 1/6220800], [[[1, 2], [2, 3], [3, 3], [4, 1], [10, 1], [20, 1]], 1/4147200], [[[1, 2], [2, 3], [3, 3], [4, 1], [10, 1], [24, 1]], 1/4976640], [[[1, 2], [2, 3], [3, 3], [4, 1], [10, 1], [30, 1]], 1/6220800], [[[1, 2], [2, 3], [3, 3], [4, 1], [10, 2], [12, 1]], 29/597196800], [[[1, 2], [2, 3], [3, 3], [4, 1], [12, 1], [15, 1]], 29/29859840], [[[1, 2], [2, 3], [3, 3], [4, 1], [12, 1], [16, 1]], 1/497664], [[[1, 2], [2, 3], [3, 3], [4, 1], [12, 1], [20, 1]], 61/19906560], [[[1, 2], [2, 3], [3, 3], [4, 1], [12, 1], [24, 1]], 77/23887872], [[[1, 2], [2, 3], [3, 3], [4, 1], [12, 1], [30, 1]], 29/29859840], [[[1, 2], [2, 3], [3, 3], [4, 2], [5, 1], [6, 3]], 151/59719680], [[[1, 2], [2, 3], [3, 3], [4, 2], [5, 2], [6, 1]], 13/5374771200], [[[1, 2], [2, 3], [3, 3], [4, 2], [6, 1], [8, 2]], 13/1719926784], [[[1, 2], [2, 3], [3, 3], [4, 2], [6, 1], [10, 2]], 13/5374771200], [[[1, 2], [2, 3], [3, 3], [4, 2], [6, 1], [12, 2]], 69323/2579890176], [[[1, 2], [2, 3], [3, 3], [4, 2], [6, 1], [15, 1]], 13/268738560], [[[1, 2], [2, 3], [3, 3], [4, 2], [6, 1], [20, 1]], 13/179159040], [[[1, 2], [2, 3], [3, 3], [4, 2], [6, 1], [24, 1]], 13/214990848], [[[1, 2], [2, 3], [3, 3], [4, 2], [6, 1], [30, 1]], 13/268738560], [[[1, 2], [2, 3], [3, 3], [4, 2], [6, 2], [9, 1]], 3263/191102976], [[[1, 2], [2, 3], [3, 3], [4, 2], [6, 2], [14, 1]], 1/55738368], [[[1, 2], [2, 3], [3, 3], [4, 2], [6, 2], [18, 1]], 61/1934917632], [[[1, 2], [2, 3], [3, 3], [4, 2], [6, 3], [8, 1]], 485/47775744], [[[1, 2], [2, 3], [3, 3], [4, 2], [6, 3], [10, 1]], 301/119439360], [[[1, 2], [2, 3], [3, 3], [4, 2], [6, 3], [12, 1]], 2163101/69657034752], [[[1, 2], [2, 3], [3, 3], [4, 2], [7, 1], [12, 1]], 1/10450944], [[[1, 2], [2, 3], [3, 3], [4, 2], [9, 1], [12, 1]], 709/859963392], [[[1, 2], [2, 3], [3, 3], [4, 2], [12, 1], [14, 1]], 83/250822656], [[[1, 2], [2, 3], [3, 3], [4, 2], [12, 1], [18, 1]], 131/967458816], [[[1, 2], [2, 3], [3, 3], [4, 3], [5, 1], [6, 2]], 1/159252480], [[[1, 2], [2, 3], [3, 3], [4, 3], [5, 1], [12, 1]], 5/47775744], [[[1, 2], [2, 3], [3, 3], [4, 3], [6, 1], [9, 1]], 1/17915904], [[[1, 2], [2, 3], [3, 3], [4, 3], [6, 1], [18, 1]], 1/214990848], [[[1, 2], [2, 3], [3, 3], [4, 3], [6, 2], [8, 1]], 515/254803968], [[[1, 2], [2, 3], [3, 3], [4, 3], [6, 2], [12, 1]], 13883/1146617856], [[[1, 2], [2, 3], [3, 3], [4, 3], [8, 1], [12, 1]], 929/1146617856], [[[1, 2], [2, 3], [3, 3], [4, 3], [10, 1], [12, 1]], 1/14929920], [[[1, 2], [2, 3], [3, 3], [4, 4], [5, 1], [6, 1]], 1/955514880], [[[1, 2], [2, 3], [3, 3], [4, 4], [6, 1], [8, 1]], 13/11466178560], [[[1, 2], [2, 3], [3, 3], [4, 4], [6, 1], [10, 1]], 7/42998169600], [[[1, 2], [2, 3], [3, 3], [4, 4], [6, 1], [12, 1]], 3817/20639121408], [[[1, 2], [2, 3], [3, 3], [5, 1], [6, 1], [8, 2]], 1/3981312], [[[1, 2], [2, 3], [3, 3], [5, 1], [6, 1], [10, 2]], 1/12441600], [[[1, 2], [2, 3], [3, 3], [5, 1], [6, 1], [12, 2]], 7/5971968], [[[1, 2], [2, 3], [3, 3], [5, 1], [6, 1], [15, 1]], 1/622080], [[[1, 2], [2, 3], [3, 3], [5, 1], [6, 1], [20, 1]], 1/414720], [[[1, 2], [2, 3], [3, 3], [5, 1], [6, 1], [24, 1]], 1/497664], [[[1, 2], [2, 3], [3, 3], [5, 1], [6, 1], [30, 1]], 1/622080], [[[1, 2], [2, 3], [3, 3], [5, 1], [6, 2], [7, 1]], 1/5806080], [[[1, 2], [2, 3], [3, 3], [5, 1], [6, 2], [9, 1]], 11/14929920], [[[1, 2], [2, 3], [3, 3], [5, 1], [6, 2], [14, 1]], 1/1935360], [[[1, 2], [2, 3], [3, 3], [5, 1], [6, 2], [18, 1]], 5/4478976], [[[1, 2], [2, 3], [3, 3], [5, 1], [6, 3], [8, 1]], 1/9953280], [[[1, 2], [2, 3], [3, 3], [5, 1], [6, 3], [10, 1]], 11/4147200], [[[1, 2], [2, 3], [3, 3], [5, 1], [6, 3], [12, 1]], 19/53747712], [[[1, 2], [2, 3], [3, 3], [5, 1], [7, 1], [12, 1]], 1/967680], [[[1, 2], [2, 3], [3, 3], [5, 1], [8, 1], [9, 1]], 1/311040], [[[1, 2], [2, 3], [3, 3], [5, 1], [9, 1], [12, 1]], 11/2488320], [[[1, 2], [2, 3], [3, 3], [5, 1], [12, 1], [14, 1]], 1/322560], [[[1, 2], [2, 3], [3, 3], [5, 1], [12, 1], [18, 1]], 1/746496], [[[1, 2], [2, 3], [3, 3], [5, 2], [6, 1], [8, 1]], 13/149299200], [[[1, 2], [2, 3], [3, 3], [5, 2], [6, 1], [10, 1]], 7/559872000], [[[1, 2], [2, 3], [3, 3], [5, 2], [6, 1], [12, 1]], 53/268738560], [[[1, 2], [2, 3], [3, 3], [6, 1], [7, 1], [9, 1]], 5/2612736], [[[1, 2], [2, 3], [3, 3], [6, 1], [7, 1], [18, 1]], 1/7838208], [[[1, 2], [2, 3], [3, 3], [6, 1], [8, 1], [10, 2]], 13/149299200], [[[1, 2], [2, 3], [3, 3], [6, 1], [8, 1], [12, 2]], 139/71663616], [[[1, 2], [2, 3], [3, 3], [6, 1], [8, 1], [15, 1]], 13/7464960], [[[1, 2], [2, 3], [3, 3], [6, 1], [8, 1], [20, 1]], 13/4976640], [[[1, 2], [2, 3], [3, 3], [6, 1], [8, 1], [24, 1]], 13/5971968], [[[1, 2], [2, 3], [3, 3], [6, 1], [8, 1], [30, 1]], 13/7464960], [[[1, 2], [2, 3], [3, 3], [6, 1], [8, 2], [10, 1]], 7/179159040], [[[1, 2], [2, 3], [3, 3], [6, 1], [8, 2], [12, 1]], 1237/429981696], [[[1, 2], [2, 3], [3, 3], [6, 1], [9, 1], [14, 1]], 1/373248], [[[1, 2], [2, 3], [3, 3], [6, 1], [9, 1], [18, 1]], 23/1259712], [[[1, 2], [2, 3], [3, 3], [6, 1], [10, 1], [12, 2]], 77/53747712], [[[1, 2], [2, 3], [3, 3], [6, 1], [10, 1], [15, 1]], 7/27993600], [[[1, 2], [2, 3], [3, 3], [6, 1], [10, 1], [20, 1]], 7/18662400], [[[1, 2], [2, 3], [3, 3], [6, 1], [10, 1], [24, 1]], 7/22394880], [[[1, 2], [2, 3], [3, 3], [6, 1], [10, 1], [30, 1]], 7/27993600], [[[1, 2], [2, 3], [3, 3], [6, 1], [10, 2], [12, 1]], 53/268738560], [[[1, 2], [2, 3], [3, 3], [6, 1], [12, 1], [15, 1]], 53/13436928], [[[1, 2], [2, 3], [3, 3], [6, 1], [12, 1], [20, 1]], 53/8957952], [[[1, 2], [2, 3], [3, 3], [6, 1], [12, 1], [24, 1]], 589/53747712], [[[1, 2], [2, 3], [3, 3], [6, 1], [12, 1], [30, 1]], 53/13436928], [[[1, 2], [2, 3], [3, 3], [6, 1], [14, 1], [18, 1]], 1/3359232], [[[1, 2], [2, 3], [3, 3], [6, 2], [7, 1], [8, 1]], 1/4644864], [[[1, 2], [2, 3], [3, 3], [6, 2], [7, 1], [12, 1]], 19/41803776], [[[1, 2], [2, 3], [3, 3], [6, 2], [8, 1], [9, 1]], 131/71663616], [[[1, 2], [2, 3], [3, 3], [6, 2], [8, 1], [14, 1]], 1/2322432], [[[1, 2], [2, 3], [3, 3], [6, 2], [8, 1], [18, 1]], 1/839808], [[[1, 2], [2, 3], [3, 3], [6, 2], [9, 1], [10, 1]], 61/44789760], [[[1, 2], [2, 3], [3, 3], [6, 2], [9, 1], [12, 1]], 131/53747712], [[[1, 2], [2, 3], [3, 3], [6, 2], [10, 1], [18, 1]], 7/50388480], [[[1, 2], [2, 3], [3, 3], [6, 2], [12, 1], [14, 1]], 19/17915904], [[[1, 2], [2, 3], [3, 3], [6, 2], [12, 1], [18, 1]], 1307/483729408], [[[1, 2], [2, 3], [3, 3], [6, 3], [8, 1], [10, 1]], 1/4976640], [[[1, 2], [2, 3], [3, 3], [6, 3], [8, 1], [12, 1]], 133/214990848], [[[1, 2], [2, 3], [3, 3], [6, 3], [10, 1], [12, 1]], 133/268738560], [[[1, 2], [2, 3], [3, 3], [7, 1], [8, 1], [12, 1]], 1/774144], [[[1, 2], [2, 3], [3, 3], [8, 1], [9, 1], [12, 1]], 67/11943936], [[[1, 2], [2, 3], [3, 3], [8, 1], [12, 1], [14, 1]], 1/387072], [[[1, 2], [2, 3], [3, 3], [8, 1], [12, 1], [18, 1]], 1/746496], [[[1, 2], [2, 3], [3, 3], [9, 1], [10, 1], [12, 1]], 1/1492992], [[[1, 2], [2, 3], [3, 4], [4, 1], [5, 1], [6, 3]], 41311/24186470400], [[[1, 2], [2, 3], [3, 4], [4, 1], [5, 1], [7, 1]], 1/348364800], [[[1, 2], [2, 3], [3, 4], [4, 1], [5, 1], [9, 1]], 41/447897600], [[[1, 2], [2, 3], [3, 4], [4, 1], [5, 1], [14, 1]], 1/174182400], [[[1, 2], [2, 3], [3, 4], [4, 1], [5, 1], [18, 1]], 1/335923200], [[[1, 2], [2, 3], [3, 4], [4, 1], [5, 2], [6, 1]], 163/35831808000], [[[1, 2], [2, 3], [3, 4], [4, 1], [6, 1], [8, 2]], 229/11466178560], [[[1, 2], [2, 3], [3, 4], [4, 1], [6, 1], [10, 2]], 259/35831808000], [[[1, 2], [2, 3], [3, 4], [4, 1], [6, 1], [12, 2]], 21197/17199267840], [[[1, 2], [2, 3], [3, 4], [4, 1], [6, 1], [15, 1]], 163/1791590400], [[[1, 2], [2, 3], [3, 4], [4, 1], [6, 1], [16, 1]], 1/497664], [[[1, 2], [2, 3], [3, 4], [4, 1], [6, 1], [20, 1]], 163/1194393600], [[[1, 2], [2, 3], [3, 4], [4, 1], [6, 1], [24, 1]], 3043/1433272320], [[[1, 2], [2, 3], [3, 4], [4, 1], [6, 1], [30, 1]], 163/1791590400], [[[1, 2], [2, 3], [3, 4], [4, 1], [6, 2], [9, 1]], 71/107495424], [[[1, 2], [2, 3], [3, 4], [4, 1], [6, 2], [18, 1]], 163/3224862720], [[[1, 2], [2, 3], [3, 4], [4, 1], [6, 3], [8, 1]], 170921/77396705280], [[[1, 2], [2, 3], [3, 4], [4, 1], [6, 3], [10, 1]], 811/24186470400], [[[1, 2], [2, 3], [3, 4], [4, 1], [6, 3], [12, 1]], 2914763/464380231680], [[[1, 2], [2, 3], [3, 4], [4, 1], [7, 1], [8, 1]], 1/92897280], [[[1, 2], [2, 3], [3, 4], [4, 1], [7, 1], [10, 1]], 1/348364800], [[[1, 2], [2, 3], [3, 4], [4, 1], [7, 1], [12, 1]], 1/209018880], [[[1, 2], [2, 3], [3, 4], [4, 1], [8, 1], [9, 1]], 697/2149908480], [[[1, 2], [2, 3], [3, 4], [4, 1], [8, 1], [14, 1]], 11/557383680], [[[1, 2], [2, 3], [3, 4], [4, 1], [8, 1], [18, 1]], 11/1074954240], [[[1, 2], [2, 3], [3, 4], [4, 1], [9, 1], [10, 1]], 41/447897600], [[[1, 2], [2, 3], [3, 4], [4, 1], [9, 1], [12, 1]], 73/134369280], [[[1, 2], [2, 3], [3, 4], [4, 1], [10, 1], [14, 1]], 1/174182400], [[[1, 2], [2, 3], [3, 4], [4, 1], [10, 1], [18, 1]], 1/335923200], [[[1, 2], [2, 3], [3, 4], [4, 1], [12, 1], [14, 1]], 1/104509440], [[[1, 2], [2, 3], [3, 4], [4, 1], [12, 1], [18, 1]], 1/201553920], [[[1, 2], [2, 3], [3, 4], [4, 2], [5, 1], [8, 1]], 11/1592524800], [[[1, 2], [2, 3], [3, 4], [4, 2], [5, 1], [10, 1]], 11/497664000], [[[1, 2], [2, 3], [3, 4], [4, 2], [5, 1], [12, 1]], 29/597196800], [[[1, 2], [2, 3], [3, 4], [4, 2], [6, 1], [7, 1]], 1/2508226560], [[[1, 2], [2, 3], [3, 4], [4, 2], [6, 1], [9, 1]], 131/4837294080], [[[1, 2], [2, 3], [3, 4], [4, 2], [6, 1], [14, 1]], 1/5016453120], [[[1, 2], [2, 3], [3, 4], [4, 2], [6, 1], [18, 1]], 37/51597803520], [[[1, 2], [2, 3], [3, 4], [4, 2], [6, 2], [8, 1]], 1/8599633920], [[[1, 2], [2, 3], [3, 4], [4, 2], [6, 2], [10, 1]], 1/10749542400], [[[1, 2], [2, 3], [3, 4], [4, 2], [6, 2], [12, 1]], 10648999/2476694568960], [[[1, 2], [2, 3], [3, 4], [4, 2], [8, 1], [10, 1]], 11/1592524800], [[[1, 2], [2, 3], [3, 4], [4, 2], [8, 1], [12, 1]], 73/859963392], [[[1, 2], [2, 3], [3, 4], [4, 2], [10, 1], [12, 1]], 23/5374771200], [[[1, 2], [2, 3], [3, 4], [4, 3], [5, 1], [6, 1]], 1/7166361600], [[[1, 2], [2, 3], [3, 4], [4, 3], [6, 1], [8, 1]], 3853/22932357120], [[[1, 2], [2, 3], [3, 4], [4, 3], [6, 1], [10, 1]], 1/3583180800], [[[1, 2], [2, 3], [3, 4], [4, 3], [6, 1], [12, 1]], 6179/8599633920], [[[1, 2], [2, 3], [3, 4], [5, 1], [6, 1], [9, 1]], 1/1119744], [[[1, 2], [2, 3], [3, 4], [5, 1], [6, 1], [18, 1]], 1/16588800], [[[1, 2], [2, 3], [3, 4], [5, 1], [6, 2], [8, 1]], 1/9953280], [[[1, 2], [2, 3], [3, 4], [5, 1], [6, 2], [12, 1]], 179/796262400], [[[1, 2], [2, 3], [3, 4], [5, 1], [8, 1], [12, 1]], 1/1658880], [[[1, 2], [2, 3], [3, 4], [6, 1], [7, 1], [8, 1]], 1/418037760], [[[1, 2], [2, 3], [3, 4], [6, 1], [7, 1], [10, 1]], 1/174182400], [[[1, 2], [2, 3], [3, 4], [6, 1], [7, 1], [12, 1]], 13/35831808], [[[1, 2], [2, 3], [3, 4], [6, 1], [8, 1], [9, 1]], 521/537477120], [[[1, 2], [2, 3], [3, 4], [6, 1], [8, 1], [14, 1]], 1/209018880], [[[1, 2], [2, 3], [3, 4], [6, 1], [8, 1], [18, 1]], 503/6449725440], [[[1, 2], [2, 3], [3, 4], [6, 1], [9, 1], [10, 1]], 287/2015539200], [[[1, 2], [2, 3], [3, 4], [6, 1], [9, 1], [12, 1]], 11783/4837294080], [[[1, 2], [2, 3], [3, 4], [6, 1], [10, 1], [14, 1]], 1/174182400], [[[1, 2], [2, 3], [3, 4], [6, 1], [10, 1], [18, 1]], 19/4031078400], [[[1, 2], [2, 3], [3, 4], [6, 1], [12, 1], [14, 1]], 91/179159040], [[[1, 2], [2, 3], [3, 4], [6, 1], [12, 1], [18, 1]], 151/322486272], [[[1, 2], [2, 3], [3, 4], [6, 2], [8, 1], [10, 1]], 1/447897600], [[[1, 2], [2, 3], [3, 4], [6, 2], [8, 1], [12, 1]], 15581/34398535680], [[[1, 2], [2, 3], [3, 4], [6, 2], [10, 1], [12, 1]], 5551/21499084800], [[[1, 2], [2, 3], [3, 5], [4, 1], [5, 1], [6, 2]], 11/3583180800], [[[1, 2], [2, 3], [3, 5], [4, 1], [5, 1], [8, 1]], 1/149299200], [[[1, 2], [2, 3], [3, 5], [4, 1], [5, 1], [10, 1]], 1/746496000], [[[1, 2], [2, 3], [3, 5], [4, 1], [5, 1], [12, 1]], 37/1791590400], [[[1, 2], [2, 3], [3, 5], [4, 1], [6, 1], [7, 1]], 1/627056640], [[[1, 2], [2, 3], [3, 5], [4, 1], [6, 1], [9, 1]], 167/3224862720], [[[1, 2], [2, 3], [3, 5], [4, 1], [6, 1], [14, 1]], 1/313528320], [[[1, 2], [2, 3], [3, 5], [4, 1], [6, 1], [18, 1]], 23/9674588160], [[[1, 2], [2, 3], [3, 5], [4, 1], [6, 2], [8, 1]], 203/17199267840], [[[1, 2], [2, 3], [3, 5], [4, 1], [6, 2], [10, 1]], 49/10749542400], [[[1, 2], [2, 3], [3, 5], [4, 1], [6, 2], [12, 1]], 4801/10319560704], [[[1, 2], [2, 3], [3, 5], [4, 1], [8, 1], [10, 1]], 1/597196800], [[[1, 2], [2, 3], [3, 5], [4, 1], [8, 1], [12, 1]], 13/191102976], [[[1, 2], [2, 3], [3, 5], [4, 1], [10, 1], [12, 1]], 11/597196800], [[[1, 2], [2, 3], [3, 5], [4, 2], [5, 1], [6, 1]], 7/5374771200], [[[1, 2], [2, 3], [3, 5], [4, 2], [6, 1], [8, 1]], 89/4299816960], [[[1, 2], [2, 3], [3, 5], [4, 2], [6, 1], [10, 1]], 13/10749542400], [[[1, 2], [2, 3], [3, 5], [4, 2], [6, 1], [12, 1]], 1033/15479341056], [[[1, 2], [2, 3], [3, 5], [5, 1], [6, 1], [8, 1]], 1/895795200], [[[1, 2], [2, 3], [3, 5], [5, 1], [6, 1], [10, 1]], 11/373248000], [[[1, 2], [2, 3], [3, 5], [5, 1], [6, 1], [12, 1]], 91/537477120], [[[1, 2], [2, 3], [3, 5], [6, 1], [8, 1], [10, 1]], 1/447897600], [[[1, 2], [2, 3], [3, 5], [6, 1], [8, 1], [12, 1]], 397/2149908480], [[[1, 2], [2, 3], [3, 5], [6, 1], [10, 1], [12, 1]], 77/2687385600], [[[1, 2], [2, 3], [3, 6], [4, 1], [5, 1], [6, 1]], 1/895795200], [[[1, 2], [2, 3], [3, 6], [4, 1], [6, 1], [8, 1]], 19/8599633920], [[[1, 2], [2, 3], [3, 6], [4, 1], [6, 1], [10, 1]], 1/2687385600], [[[1, 2], [2, 3], [3, 6], [4, 1], [6, 1], [12, 1]], 569/51597803520], [[[1, 2], [2, 3], [4, 1], [5, 1], [6, 1], [8, 3]], 1/737280], [[[1, 2], [2, 3], [4, 1], [5, 1], [6, 1], [10, 3]], 1/1440000], [[[1, 2], [2, 3], [4, 1], [5, 1], [6, 1], [12, 3]], 1/829440], [[[1, 2], [2, 3], [4, 1], [5, 1], [6, 1], [18, 2]], 1/116640], [[[1, 2], [2, 3], [4, 1], [5, 1], [6, 3], [8, 2]], 1/29859840], [[[1, 2], [2, 3], [4, 1], [5, 1], [6, 3], [10, 2]], 1/93312000], [[[1, 2], [2, 3], [4, 1], [5, 1], [6, 3], [12, 2]], 11/8957952], [[[1, 2], [2, 3], [4, 1], [5, 1], [6, 3], [15, 1]], 1/4665600], [[[1, 2], [2, 3], [4, 1], [5, 1], [6, 3], [20, 1]], 1/3110400], [[[1, 2], [2, 3], [4, 1], [5, 1], [6, 3], [24, 1]], 1/3732480], [[[1, 2], [2, 3], [4, 1], [5, 1], [6, 3], [30, 1]], 1/4665600], [[[1, 2], [2, 3], [4, 1], [5, 1], [6, 4], [7, 1]], 1/348364800], [[[1, 2], [2, 3], [4, 1], [5, 1], [6, 4], [9, 1]], 1/447897600], [[[1, 2], [2, 3], [4, 1], [5, 1], [6, 4], [14, 1]], 1/174182400], [[[1, 2], [2, 3], [4, 1], [5, 1], [6, 4], [18, 1]], 41/335923200], [[[1, 2], [2, 3], [4, 1], [5, 1], [6, 5], [8, 1]], 1/597196800], [[[1, 2], [2, 3], [4, 1], [5, 1], [6, 5], [10, 1]], 1/373248000], [[[1, 2], [2, 3], [4, 1], [5, 1], [6, 5], [12, 1]], 11/447897600], [[[1, 2], [2, 3], [4, 1], [5, 1], [7, 1], [8, 2]], 1/430080], [[[1, 2], [2, 3], [4, 1], [5, 1], [7, 1], [10, 2]], 1/1344000], [[[1, 2], [2, 3], [4, 1], [5, 1], [7, 1], [12, 2]], 1/645120], [[[1, 2], [2, 3], [4, 1], [5, 1], [7, 1], [15, 1]], 1/67200], [[[1, 2], [2, 3], [4, 1], [5, 1], [7, 1], [20, 1]], 1/44800], [[[1, 2], [2, 3], [4, 1], [5, 1], [7, 1], [24, 1]], 1/53760], [[[1, 2], [2, 3], [4, 1], [5, 1], [7, 1], [30, 1]], 1/67200], [[[1, 2], [2, 3], [4, 1], [5, 1], [8, 2], [9, 1]], 1/552960], [[[1, 2], [2, 3], [4, 1], [5, 1], [8, 2], [14, 1]], 1/215040], [[[1, 2], [2, 3], [4, 1], [5, 1], [8, 2], [18, 1]], 1/414720], [[[1, 2], [2, 3], [4, 1], [5, 1], [9, 1], [10, 2]], 1/1728000], [[[1, 2], [2, 3], [4, 1], [5, 1], [9, 1], [12, 2]], 1/829440], [[[1, 2], [2, 3], [4, 1], [5, 1], [9, 1], [15, 1]], 1/86400], [[[1, 2], [2, 3], [4, 1], [5, 1], [9, 1], [20, 1]], 1/57600], [[[1, 2], [2, 3], [4, 1], [5, 1], [9, 1], [24, 1]], 1/69120], [[[1, 2], [2, 3], [4, 1], [5, 1], [9, 1], [30, 1]], 1/86400], [[[1, 2], [2, 3], [4, 1], [5, 1], [10, 2], [14, 1]], 1/672000], [[[1, 2], [2, 3], [4, 1], [5, 1], [10, 2], [18, 1]], 1/1296000], [[[1, 2], [2, 3], [4, 1], [5, 1], [12, 2], [14, 1]], 1/322560], [[[1, 2], [2, 3], [4, 1], [5, 1], [12, 2], [18, 1]], 1/622080], [[[1, 2], [2, 3], [4, 1], [5, 1], [14, 1], [15, 1]], 1/33600], [[[1, 2], [2, 3], [4, 1], [5, 1], [14, 1], [20, 1]], 1/22400], [[[1, 2], [2, 3], [4, 1], [5, 1], [14, 1], [24, 1]], 1/26880], [[[1, 2], [2, 3], [4, 1], [5, 1], [14, 1], [30, 1]], 1/33600], [[[1, 2], [2, 3], [4, 1], [5, 1], [15, 1], [18, 1]], 1/64800], [[[1, 2], [2, 3], [4, 1], [5, 1], [18, 1], [20, 1]], 1/43200], [[[1, 2], [2, 3], [4, 1], [5, 1], [18, 1], [24, 1]], 1/51840], [[[1, 2], [2, 3], [4, 1], [5, 1], [18, 1], [30, 1]], 1/64800], [[[1, 2], [2, 3], [4, 1], [5, 2], [6, 1], [8, 2]], 23/14745600], [[[1, 2], [2, 3], [4, 1], [5, 2], [6, 1], [10, 2]], 37/5120000], [[[1, 2], [2, 3], [4, 1], [5, 2], [6, 1], [12, 2]], 67/66355200], [[[1, 2], [2, 3], [4, 1], [5, 2], [6, 1], [15, 1]], 1/2304000], [[[1, 2], [2, 3], [4, 1], [5, 2], [6, 1], [20, 1]], 1/1536000], [[[1, 2], [2, 3], [4, 1], [5, 2], [6, 1], [24, 1]], 1/1843200], [[[1, 2], [2, 3], [4, 1], [5, 2], [6, 1], [30, 1]], 1/2304000], [[[1, 2], [2, 3], [4, 1], [5, 2], [6, 2], [18, 1]], 1/4147200], [[[1, 2], [2, 3], [4, 1], [5, 2], [6, 3], [8, 1]], 11/298598400], [[[1, 2], [2, 3], [4, 1], [5, 2], [6, 3], [10, 1]], 1/93312000], [[[1, 2], [2, 3], [4, 1], [5, 2], [6, 3], [12, 1]], 113/1791590400], [[[1, 2], [2, 3], [4, 1], [5, 2], [7, 1], [8, 1]], 1/358400], [[[1, 2], [2, 3], [4, 1], [5, 2], [7, 1], [10, 1]], 1/1344000], [[[1, 2], [2, 3], [4, 1], [5, 2], [7, 1], [12, 1]], 1/806400], [[[1, 2], [2, 3], [4, 1], [5, 2], [8, 1], [9, 1]], 17/8294400], [[[1, 2], [2, 3], [4, 1], [5, 2], [8, 1], [14, 1]], 11/2150400], [[[1, 2], [2, 3], [4, 1], [5, 2], [8, 1], [18, 1]], 11/4147200], [[[1, 2], [2, 3], [4, 1], [5, 2], [9, 1], [10, 1]], 1/1728000], [[[1, 2], [2, 3], [4, 1], [5, 2], [9, 1], [12, 1]], 1/1036800], [[[1, 2], [2, 3], [4, 1], [5, 2], [10, 1], [14, 1]], 1/672000], [[[1, 2], [2, 3], [4, 1], [5, 2], [10, 1], [18, 1]], 1/1296000], [[[1, 2], [2, 3], [4, 1], [5, 2], [12, 1], [14, 1]], 1/403200], [[[1, 2], [2, 3], [4, 1], [5, 2], [12, 1], [18, 1]], 1/777600], [[[1, 2], [2, 3], [4, 1], [5, 3], [6, 1], [8, 1]], 1/2304000], [[[1, 2], [2, 3], [4, 1], [5, 3], [6, 1], [10, 1]], 1/1440000], [[[1, 2], [2, 3], [4, 1], [5, 3], [6, 1], [12, 1]], 1/1728000], [[[1, 2], [2, 3], [4, 1], [6, 1], [8, 1], [10, 3]], 13/4608000], [[[1, 2], [2, 3], [4, 1], [6, 1], [8, 1], [12, 3]], 61/7962624], [[[1, 2], [2, 3], [4, 1], [6, 1], [8, 1], [18, 2]], 11/373248], [[[1, 2], [2, 3], [4, 1], [6, 1], [8, 1], [28, 1]], 1/5376], [[[1, 2], [2, 3], [4, 1], [6, 1], [8, 1], [36, 1]], 1/6912], [[[1, 2], [2, 3], [4, 1], [6, 1], [8, 2], [10, 2]], 11/2949120], [[[1, 2], [2, 3], [4, 1], [6, 1], [8, 2], [12, 2]], 133/21233664], [[[1, 2], [2, 3], [4, 1], [6, 1], [8, 2], [15, 1]], 23/737280], [[[1, 2], [2, 3], [4, 1], [6, 1], [8, 2], [16, 1]], 5/12288], [[[1, 2], [2, 3], [4, 1], [6, 1], [8, 2], [20, 1]], 29/163840], [[[1, 2], [2, 3], [4, 1], [6, 1], [8, 2], [24, 1]], 61/196608], [[[1, 2], [2, 3], [4, 1], [6, 1], [8, 2], [30, 1]], 23/737280], [[[1, 2], [2, 3], [4, 1], [6, 1], [8, 3], [10, 1]], 29/1474560], [[[1, 2], [2, 3], [4, 1], [6, 1], [8, 3], [12, 1]], 31/1769472], [[[1, 2], [2, 3], [4, 1], [6, 1], [10, 1], [12, 3]], 17/2488320], [[[1, 2], [2, 3], [4, 1], [6, 1], [10, 1], [18, 2]], 1/116640], [[[1, 2], [2, 3], [4, 1], [6, 1], [10, 1], [28, 1]], 1/3360], [[[1, 2], [2, 3], [4, 1], [6, 1], [10, 1], [36, 1]], 1/4320], [[[1, 2], [2, 3], [4, 1], [6, 1], [10, 2], [12, 2]], 163/66355200], [[[1, 2], [2, 3], [4, 1], [6, 1], [10, 2], [15, 1]], 11/768000], [[[1, 2], [2, 3], [4, 1], [6, 1], [10, 2], [20, 1]], 11/512000], [[[1, 2], [2, 3], [4, 1], [6, 1], [10, 2], [24, 1]], 11/614400], [[[1, 2], [2, 3], [4, 1], [6, 1], [10, 2], [30, 1]], 11/768000], [[[1, 2], [2, 3], [4, 1], [6, 1], [10, 3], [12, 1]], 1/576000], [[[1, 2], [2, 3], [4, 1], [6, 1], [12, 1], [18, 2]], 1/69984], [[[1, 2], [2, 3], [4, 1], [6, 1], [12, 1], [28, 1]], 1/4032], [[[1, 2], [2, 3], [4, 1], [6, 1], [12, 1], [36, 1]], 11/41472], [[[1, 2], [2, 3], [4, 1], [6, 1], [12, 2], [15, 1]], 67/3317760], [[[1, 2], [2, 3], [4, 1], [6, 1], [12, 2], [16, 1]], 1/6912], [[[1, 2], [2, 3], [4, 1], [6, 1], [12, 2], [20, 1]], 323/2211840], [[[1, 2], [2, 3], [4, 1], [6, 1], [12, 2], [24, 1]], 487/2654208], [[[1, 2], [2, 3], [4, 1], [6, 1], [12, 2], [30, 1]], 67/3317760], [[[1, 2], [2, 3], [4, 1], [6, 1], [15, 1], [20, 1]], 1/76800], [[[1, 2], [2, 3], [4, 1], [6, 1], [15, 1], [24, 1]], 1/92160], [[[1, 2], [2, 3], [4, 1], [6, 1], [15, 1], [30, 1]], 1/7200], [[[1, 2], [2, 3], [4, 1], [6, 1], [20, 1], [24, 1]], 1/61440], [[[1, 2], [2, 3], [4, 1], [6, 1], [20, 1], [30, 1]], 1/76800], [[[1, 2], [2, 3], [4, 1], [6, 1], [24, 1], [30, 1]], 1/92160], [[[1, 2], [2, 3], [4, 1], [6, 2], [7, 1], [12, 2]], 1/387072], [[[1, 2], [2, 3], [4, 1], [6, 2], [8, 2], [18, 1]], 23/1327104], [[[1, 2], [2, 3], [4, 1], [6, 2], [9, 1], [12, 2]], 1/497664], [[[1, 2], [2, 3], [4, 1], [6, 2], [10, 2], [18, 1]], 11/1382400], [[[1, 2], [2, 3], [4, 1], [6, 2], [12, 2], [14, 1]], 1/193536], [[[1, 2], [2, 3], [4, 1], [6, 2], [12, 2], [18, 1]], 83/5971968], [[[1, 2], [2, 3], [4, 1], [6, 2], [15, 1], [18, 1]], 1/207360], [[[1, 2], [2, 3], [4, 1], [6, 2], [18, 1], [20, 1]], 1/138240], [[[1, 2], [2, 3], [4, 1], [6, 2], [18, 1], [24, 1]], 1/165888], [[[1, 2], [2, 3], [4, 1], [6, 2], [18, 1], [30, 1]], 1/207360], [[[1, 2], [2, 3], [4, 1], [6, 3], [7, 1], [14, 1]], 1/217728], [[[1, 2], [2, 3], [4, 1], [6, 3], [8, 1], [10, 2]], 11/298598400], [[[1, 2], [2, 3], [4, 1], [6, 3], [8, 1], [12, 2]], 821/143327232], [[[1, 2], [2, 3], [4, 1], [6, 3], [8, 1], [15, 1]], 11/14929920], [[[1, 2], [2, 3], [4, 1], [6, 3], [8, 1], [16, 1]], 5/497664], [[[1, 2], [2, 3], [4, 1], [6, 3], [8, 1], [20, 1]], 43/9953280], [[[1, 2], [2, 3], [4, 1], [6, 3], [8, 1], [24, 1]], 25/3981312], [[[1, 2], [2, 3], [4, 1], [6, 3], [8, 1], [30, 1]], 11/14929920], [[[1, 2], [2, 3], [4, 1], [6, 3], [8, 2], [10, 1]], 1/29859840], [[[1, 2], [2, 3], [4, 1], [6, 3], [8, 2], [12, 1]], 1895/573308928], [[[1, 2], [2, 3], [4, 1], [6, 3], [9, 1], [18, 1]], 1/279936], [[[1, 2], [2, 3], [4, 1], [6, 3], [10, 1], [12, 2]], 163/44789760], [[[1, 2], [2, 3], [4, 1], [6, 3], [10, 1], [15, 1]], 1/4665600], [[[1, 2], [2, 3], [4, 1], [6, 3], [10, 1], [20, 1]], 1/3110400], [[[1, 2], [2, 3], [4, 1], [6, 3], [10, 1], [24, 1]], 1/3732480], [[[1, 2], [2, 3], [4, 1], [6, 3], [10, 1], [30, 1]], 1/4665600], [[[1, 2], [2, 3], [4, 1], [6, 3], [10, 2], [12, 1]], 541/358318080], [[[1, 2], [2, 3], [4, 1], [6, 3], [12, 1], [15, 1]], 113/89579520], [[[1, 2], [2, 3], [4, 1], [6, 3], [12, 1], [16, 1]], 1/373248], [[[1, 2], [2, 3], [4, 1], [6, 3], [12, 1], [20, 1]], 241/59719680], [[[1, 2], [2, 3], [4, 1], [6, 3], [12, 1], [24, 1]], 305/71663616], [[[1, 2], [2, 3], [4, 1], [6, 3], [12, 1], [30, 1]], 113/89579520], [[[1, 2], [2, 3], [4, 1], [6, 4], [7, 1], [8, 1]], 1/92897280], [[[1, 2], [2, 3], [4, 1], [6, 4], [7, 1], [10, 1]], 1/348364800], [[[1, 2], [2, 3], [4, 1], [6, 4], [7, 1], [12, 1]], 1/209018880], [[[1, 2], [2, 3], [4, 1], [6, 4], [8, 1], [9, 1]], 17/2149908480], [[[1, 2], [2, 3], [4, 1], [6, 4], [8, 1], [14, 1]], 11/557383680], [[[1, 2], [2, 3], [4, 1], [6, 4], [8, 1], [18, 1]], 451/1074954240], [[[1, 2], [2, 3], [4, 1], [6, 4], [9, 1], [10, 1]], 1/447897600], [[[1, 2], [2, 3], [4, 1], [6, 4], [9, 1], [12, 1]], 1/268738560], [[[1, 2], [2, 3], [4, 1], [6, 4], [10, 1], [14, 1]], 1/174182400], [[[1, 2], [2, 3], [4, 1], [6, 4], [10, 1], [18, 1]], 41/335923200], [[[1, 2], [2, 3], [4, 1], [6, 4], [12, 1], [14, 1]], 1/104509440], [[[1, 2], [2, 3], [4, 1], [6, 4], [12, 1], [18, 1]], 569/806215680], [[[1, 2], [2, 3], [4, 1], [6, 5], [8, 1], [10, 1]], 13/1194393600], [[[1, 2], [2, 3], [4, 1], [6, 5], [8, 1], [12, 1]], 25/286654464], [[[1, 2], [2, 3], [4, 1], [6, 5], [10, 1], [12, 1]], 13/447897600], [[[1, 2], [2, 3], [4, 1], [7, 1], [8, 1], [10, 2]], 1/358400], [[[1, 2], [2, 3], [4, 1], [7, 1], [8, 1], [12, 2]], 1/172032], [[[1, 2], [2, 3], [4, 1], [7, 1], [8, 1], [15, 1]], 1/17920], [[[1, 2], [2, 3], [4, 1], [7, 1], [8, 1], [16, 1]], 5/7168], [[[1, 2], [2, 3], [4, 1], [7, 1], [8, 1], [20, 1]], 11/35840], [[[1, 2], [2, 3], [4, 1], [7, 1], [8, 1], [24, 1]], 19/43008], [[[1, 2], [2, 3], [4, 1], [7, 1], [8, 1], [30, 1]], 1/17920], [[[1, 2], [2, 3], [4, 1], [7, 1], [8, 2], [10, 1]], 1/430080], [[[1, 2], [2, 3], [4, 1], [7, 1], [8, 2], [12, 1]], 1/258048], [[[1, 2], [2, 3], [4, 1], [7, 1], [9, 1], [14, 1]], 1/4032], [[[1, 2], [2, 3], [4, 1], [7, 1], [9, 1], [18, 1]], 1/4032], [[[1, 2], [2, 3], [4, 1], [7, 1], [10, 1], [12, 2]], 1/645120], [[[1, 2], [2, 3], [4, 1], [7, 1], [10, 1], [15, 1]], 1/67200], [[[1, 2], [2, 3], [4, 1], [7, 1], [10, 1], [20, 1]], 1/44800], [[[1, 2], [2, 3], [4, 1], [7, 1], [10, 1], [24, 1]], 1/53760], [[[1, 2], [2, 3], [4, 1], [7, 1], [10, 1], [30, 1]], 1/67200], [[[1, 2], [2, 3], [4, 1], [7, 1], [10, 2], [12, 1]], 1/806400], [[[1, 2], [2, 3], [4, 1], [7, 1], [12, 1], [15, 1]], 1/40320], [[[1, 2], [2, 3], [4, 1], [7, 1], [12, 1], [16, 1]], 1/5376], [[[1, 2], [2, 3], [4, 1], [7, 1], [12, 1], [20, 1]], 1/5376], [[[1, 2], [2, 3], [4, 1], [7, 1], [12, 1], [24, 1]], 1/4608], [[[1, 2], [2, 3], [4, 1], [7, 1], [12, 1], [30, 1]], 1/40320], [[[1, 2], [2, 3], [4, 1], [7, 1], [14, 1], [18, 1]], 1/3024], [[[1, 2], [2, 3], [4, 1], [8, 1], [9, 1], [10, 2]], 17/8294400], [[[1, 2], [2, 3], [4, 1], [8, 1], [9, 1], [12, 2]], 17/3981312], [[[1, 2], [2, 3], [4, 1], [8, 1], [9, 1], [15, 1]], 17/414720], [[[1, 2], [2, 3], [4, 1], [8, 1], [9, 1], [16, 1]], 5/9216], [[[1, 2], [2, 3], [4, 1], [8, 1], [9, 1], [20, 1]], 13/55296], [[[1, 2], [2, 3], [4, 1], [8, 1], [9, 1], [24, 1]], 113/331776], [[[1, 2], [2, 3], [4, 1], [8, 1], [9, 1], [30, 1]], 17/414720], [[[1, 2], [2, 3], [4, 1], [8, 1], [10, 2], [14, 1]], 11/2150400], [[[1, 2], [2, 3], [4, 1], [8, 1], [10, 2], [18, 1]], 11/4147200], [[[1, 2], [2, 3], [4, 1], [8, 1], [12, 2], [14, 1]], 11/1032192], [[[1, 2], [2, 3], [4, 1], [8, 1], [12, 2], [18, 1]], 11/1990656], [[[1, 2], [2, 3], [4, 1], [8, 1], [14, 1], [15, 1]], 11/107520], [[[1, 2], [2, 3], [4, 1], [8, 1], [14, 1], [16, 1]], 5/3584], [[[1, 2], [2, 3], [4, 1], [8, 1], [14, 1], [20, 1]], 43/71680], [[[1, 2], [2, 3], [4, 1], [8, 1], [14, 1], [24, 1]], 25/28672], [[[1, 2], [2, 3], [4, 1], [8, 1], [14, 1], [30, 1]], 11/107520], [[[1, 2], [2, 3], [4, 1], [8, 1], [15, 1], [18, 1]], 11/207360], [[[1, 2], [2, 3], [4, 1], [8, 1], [16, 1], [18, 1]], 5/6912], [[[1, 2], [2, 3], [4, 1], [8, 1], [18, 1], [20, 1]], 43/138240], [[[1, 2], [2, 3], [4, 1], [8, 1], [18, 1], [24, 1]], 25/55296], [[[1, 2], [2, 3], [4, 1], [8, 1], [18, 1], [30, 1]], 11/207360], [[[1, 2], [2, 3], [4, 1], [8, 2], [9, 1], [10, 1]], 1/552960], [[[1, 2], [2, 3], [4, 1], [8, 2], [9, 1], [12, 1]], 1/331776], [[[1, 2], [2, 3], [4, 1], [8, 2], [10, 1], [14, 1]], 1/215040], [[[1, 2], [2, 3], [4, 1], [8, 2], [10, 1], [18, 1]], 1/414720], [[[1, 2], [2, 3], [4, 1], [8, 2], [12, 1], [14, 1]], 1/129024], [[[1, 2], [2, 3], [4, 1], [8, 2], [12, 1], [18, 1]], 1/248832], [[[1, 2], [2, 3], [4, 1], [9, 1], [10, 1], [12, 2]], 1/829440], [[[1, 2], [2, 3], [4, 1], [9, 1], [10, 1], [15, 1]], 1/86400], [[[1, 2], [2, 3], [4, 1], [9, 1], [10, 1], [20, 1]], 1/57600], [[[1, 2], [2, 3], [4, 1], [9, 1], [10, 1], [24, 1]], 1/69120], [[[1, 2], [2, 3], [4, 1], [9, 1], [10, 1], [30, 1]], 1/86400], [[[1, 2], [2, 3], [4, 1], [9, 1], [10, 2], [12, 1]], 1/1036800], [[[1, 2], [2, 3], [4, 1], [9, 1], [12, 1], [15, 1]], 1/51840], [[[1, 2], [2, 3], [4, 1], [9, 1], [12, 1], [16, 1]], 1/6912], [[[1, 2], [2, 3], [4, 1], [9, 1], [12, 1], [20, 1]], 1/6912], [[[1, 2], [2, 3], [4, 1], [9, 1], [12, 1], [24, 1]], 7/41472], [[[1, 2], [2, 3], [4, 1], [9, 1], [12, 1], [30, 1]], 1/51840], [[[1, 2], [2, 3], [4, 1], [9, 1], [14, 1], [18, 1]], 1/2016], [[[1, 2], [2, 3], [4, 1], [10, 1], [12, 2], [14, 1]], 1/322560], [[[1, 2], [2, 3], [4, 1], [10, 1], [12, 2], [18, 1]], 1/622080], [[[1, 2], [2, 3], [4, 1], [10, 1], [14, 1], [15, 1]], 1/33600], [[[1, 2], [2, 3], [4, 1], [10, 1], [14, 1], [20, 1]], 1/22400], [[[1, 2], [2, 3], [4, 1], [10, 1], [14, 1], [24, 1]], 1/26880], [[[1, 2], [2, 3], [4, 1], [10, 1], [14, 1], [30, 1]], 1/33600], [[[1, 2], [2, 3], [4, 1], [10, 1], [15, 1], [18, 1]], 1/64800], [[[1, 2], [2, 3], [4, 1], [10, 1], [18, 1], [20, 1]], 1/43200], [[[1, 2], [2, 3], [4, 1], [10, 1], [18, 1], [24, 1]], 1/51840], [[[1, 2], [2, 3], [4, 1], [10, 1], [18, 1], [30, 1]], 1/64800], [[[1, 2], [2, 3], [4, 1], [10, 2], [12, 1], [14, 1]], 1/403200], [[[1, 2], [2, 3], [4, 1], [10, 2], [12, 1], [18, 1]], 1/777600], [[[1, 2], [2, 3], [4, 1], [12, 1], [14, 1], [15, 1]], 1/20160], [[[1, 2], [2, 3], [4, 1], [12, 1], [14, 1], [16, 1]], 1/2688], [[[1, 2], [2, 3], [4, 1], [12, 1], [14, 1], [20, 1]], 1/2688], [[[1, 2], [2, 3], [4, 1], [12, 1], [14, 1], [24, 1]], 1/2304], [[[1, 2], [2, 3], [4, 1], [12, 1], [14, 1], [30, 1]], 1/20160], [[[1, 2], [2, 3], [4, 1], [12, 1], [15, 1], [18, 1]], 1/38880], [[[1, 2], [2, 3], [4, 1], [12, 1], [16, 1], [18, 1]], 1/5184], [[[1, 2], [2, 3], [4, 1], [12, 1], [18, 1], [20, 1]], 1/5184], [[[1, 2], [2, 3], [4, 1], [12, 1], [18, 1], [24, 1]], 7/31104], [[[1, 2], [2, 3], [4, 1], [12, 1], [18, 1], [30, 1]], 1/38880], [[[1, 2], [2, 3], [4, 2], [5, 1], [6, 2], [12, 2]], 7/3317760], [[[1, 2], [2, 3], [4, 2], [5, 1], [6, 4], [8, 1]], 11/1592524800], [[[1, 2], [2, 3], [4, 2], [5, 1], [6, 4], [10, 1]], 11/497664000], [[[1, 2], [2, 3], [4, 2], [5, 1], [6, 4], [12, 1]], 7/1791590400], [[[1, 2], [2, 3], [4, 2], [5, 1], [7, 1], [14, 1]], 1/4480], [[[1, 2], [2, 3], [4, 2], [5, 1], [8, 1], [10, 2]], 971/6144000], [[[1, 2], [2, 3], [4, 2], [5, 1], [8, 1], [12, 2]], 11/2949120], [[[1, 2], [2, 3], [4, 2], [5, 1], [8, 1], [15, 1]], 11/307200], [[[1, 2], [2, 3], [4, 2], [5, 1], [8, 1], [16, 1]], 21/40960], [[[1, 2], [2, 3], [4, 2], [5, 1], [8, 1], [20, 1]], 43/204800], [[[1, 2], [2, 3], [4, 2], [5, 1], [8, 1], [24, 1]], 5/16384], [[[1, 2], [2, 3], [4, 2], [5, 1], [8, 1], [30, 1]], 11/307200], [[[1, 2], [2, 3], [4, 2], [5, 1], [8, 2], [10, 1]], 341/614400], [[[1, 2], [2, 3], [4, 2], [5, 1], [8, 2], [12, 1]], 19/2211840], [[[1, 2], [2, 3], [4, 2], [5, 1], [9, 1], [18, 1]], 1/5760], [[[1, 2], [2, 3], [4, 2], [5, 1], [10, 1], [12, 2]], 11/921600], [[[1, 2], [2, 3], [4, 2], [5, 1], [10, 1], [15, 1]], 11/96000], [[[1, 2], [2, 3], [4, 2], [5, 1], [10, 1], [20, 1]], 11/64000], [[[1, 2], [2, 3], [4, 2], [5, 1], [10, 1], [24, 1]], 11/76800], [[[1, 2], [2, 3], [4, 2], [5, 1], [10, 1], [30, 1]], 11/96000], [[[1, 2], [2, 3], [4, 2], [5, 1], [10, 2], [12, 1]], 7/6912000], [[[1, 2], [2, 3], [4, 2], [5, 1], [12, 1], [15, 1]], 7/345600], [[[1, 2], [2, 3], [4, 2], [5, 1], [12, 1], [16, 1]], 1/7680], [[[1, 2], [2, 3], [4, 2], [5, 1], [12, 1], [20, 1]], 43/230400], [[[1, 2], [2, 3], [4, 2], [5, 1], [12, 1], [24, 1]], 49/276480], [[[1, 2], [2, 3], [4, 2], [5, 1], [12, 1], [30, 1]], 7/345600], [[[1, 2], [2, 3], [4, 2], [5, 2], [6, 1], [7, 1]], 1/9676800], [[[1, 2], [2, 3], [4, 2], [5, 2], [6, 1], [9, 1]], 1/18662400], [[[1, 2], [2, 3], [4, 2], [5, 2], [6, 1], [14, 1]], 1/19353600], [[[1, 2], [2, 3], [4, 2], [5, 2], [6, 1], [18, 1]], 613/199065600], [[[1, 2], [2, 3], [4, 2], [5, 2], [6, 2], [8, 1]], 1/33177600], [[[1, 2], [2, 3], [4, 2], [5, 2], [6, 2], [10, 1]], 1/41472000], [[[1, 2], [2, 3], [4, 2], [5, 2], [6, 2], [12, 1]], 6373/9555148800], [[[1, 2], [2, 3], [4, 2], [5, 2], [8, 1], [10, 1]], 971/6144000], [[[1, 2], [2, 3], [4, 2], [5, 2], [8, 1], [12, 1]], 5/663552], [[[1, 2], [2, 3], [4, 2], [5, 2], [10, 1], [12, 1]], 23/20736000], [[[1, 2], [2, 3], [4, 2], [6, 1], [7, 1], [8, 2]], 1/3096576], [[[1, 2], [2, 3], [4, 2], [6, 1], [7, 1], [10, 2]], 1/9676800], [[[1, 2], [2, 3], [4, 2], [6, 1], [7, 1], [12, 2]], 41/4644864], [[[1, 2], [2, 3], [4, 2], [6, 1], [7, 1], [15, 1]], 1/483840], [[[1, 2], [2, 3], [4, 2], [6, 1], [7, 1], [20, 1]], 1/322560], [[[1, 2], [2, 3], [4, 2], [6, 1], [7, 1], [24, 1]], 1/387072], [[[1, 2], [2, 3], [4, 2], [6, 1], [7, 1], [30, 1]], 1/483840], [[[1, 2], [2, 3], [4, 2], [6, 1], [8, 2], [9, 1]], 1/5971968], [[[1, 2], [2, 3], [4, 2], [6, 1], [8, 2], [14, 1]], 1/6193152], [[[1, 2], [2, 3], [4, 2], [6, 1], [8, 2], [18, 1]], 4825/63700992], [[[1, 2], [2, 3], [4, 2], [6, 1], [9, 1], [10, 2]], 1/18662400], [[[1, 2], [2, 3], [4, 2], [6, 1], [9, 1], [12, 2]], 53/8957952], [[[1, 2], [2, 3], [4, 2], [6, 1], [9, 1], [15, 1]], 1/933120], [[[1, 2], [2, 3], [4, 2], [6, 1], [9, 1], [20, 1]], 1/622080], [[[1, 2], [2, 3], [4, 2], [6, 1], [9, 1], [24, 1]], 1/746496], [[[1, 2], [2, 3], [4, 2], [6, 1], [9, 1], [30, 1]], 1/933120], [[[1, 2], [2, 3], [4, 2], [6, 1], [10, 2], [14, 1]], 1/19353600], [[[1, 2], [2, 3], [4, 2], [6, 1], [10, 2], [18, 1]], 613/199065600], [[[1, 2], [2, 3], [4, 2], [6, 1], [12, 2], [14, 1]], 113/9289728], [[[1, 2], [2, 3], [4, 2], [6, 1], [12, 2], [18, 1]], 2981/95551488], [[[1, 2], [2, 3], [4, 2], [6, 1], [14, 1], [15, 1]], 1/967680], [[[1, 2], [2, 3], [4, 2], [6, 1], [14, 1], [20, 1]], 1/645120], [[[1, 2], [2, 3], [4, 2], [6, 1], [14, 1], [24, 1]], 1/774144], [[[1, 2], [2, 3], [4, 2], [6, 1], [14, 1], [30, 1]], 1/967680], [[[1, 2], [2, 3], [4, 2], [6, 1], [15, 1], [18, 1]], 37/9953280], [[[1, 2], [2, 3], [4, 2], [6, 1], [16, 1], [18, 1]], 1/13824], [[[1, 2], [2, 3], [4, 2], [6, 1], [18, 1], [20, 1]], 421/6635520], [[[1, 2], [2, 3], [4, 2], [6, 1], [18, 1], [24, 1]], 37/7962624], [[[1, 2], [2, 3], [4, 2], [6, 1], [18, 1], [30, 1]], 37/9953280], [[[1, 2], [2, 3], [4, 2], [6, 2], [7, 1], [18, 1]], 1/870912], [[[1, 2], [2, 3], [4, 2], [6, 2], [8, 1], [10, 2]], 1/33177600], [[[1, 2], [2, 3], [4, 2], [6, 2], [8, 1], [12, 2]], 35/1769472], [[[1, 2], [2, 3], [4, 2], [6, 2], [8, 1], [15, 1]], 1/1658880], [[[1, 2], [2, 3], [4, 2], [6, 2], [8, 1], [16, 1]], 5/442368], [[[1, 2], [2, 3], [4, 2], [6, 2], [8, 1], [20, 1]], 1/1105920], [[[1, 2], [2, 3], [4, 2], [6, 2], [8, 1], [24, 1]], 1/1327104], [[[1, 2], [2, 3], [4, 2], [6, 2], [8, 1], [30, 1]], 1/1658880], [[[1, 2], [2, 3], [4, 2], [6, 2], [8, 2], [10, 1]], 1/13271040], [[[1, 2], [2, 3], [4, 2], [6, 2], [8, 2], [12, 1]], 56569/3057647616], [[[1, 2], [2, 3], [4, 2], [6, 2], [9, 1], [18, 1]], 1/1679616], [[[1, 2], [2, 3], [4, 2], [6, 2], [10, 1], [12, 2]], 53/6635520], [[[1, 2], [2, 3], [4, 2], [6, 2], [10, 1], [15, 1]], 1/2073600], [[[1, 2], [2, 3], [4, 2], [6, 2], [10, 1], [20, 1]], 1/1382400], [[[1, 2], [2, 3], [4, 2], [6, 2], [10, 1], [24, 1]], 1/1658880], [[[1, 2], [2, 3], [4, 2], [6, 2], [10, 1], [30, 1]], 1/2073600], [[[1, 2], [2, 3], [4, 2], [6, 2], [10, 2], [12, 1]], 34021/9555148800], [[[1, 2], [2, 3], [4, 2], [6, 2], [12, 1], [15, 1]], 1189/477757440], [[[1, 2], [2, 3], [4, 2], [6, 2], [12, 1], [16, 1]], 1/73728], [[[1, 2], [2, 3], [4, 2], [6, 2], [12, 1], [20, 1]], 2465/63700992], [[[1, 2], [2, 3], [4, 2], [6, 2], [12, 1], [24, 1]], 5029/382205952], [[[1, 2], [2, 3], [4, 2], [6, 2], [12, 1], [30, 1]], 1189/477757440], [[[1, 2], [2, 3], [4, 2], [6, 2], [14, 1], [18, 1]], 1/1741824], [[[1, 2], [2, 3], [4, 2], [6, 3], [7, 1], [12, 1]], 47/125411328], [[[1, 2], [2, 3], [4, 2], [6, 3], [8, 1], [18, 1]], 1/2985984], [[[1, 2], [2, 3], [4, 2], [6, 3], [9, 1], [12, 1]], 53/241864704], [[[1, 2], [2, 3], [4, 2], [6, 3], [10, 1], [18, 1]], 1/3732480], [[[1, 2], [2, 3], [4, 2], [6, 3], [12, 1], [14, 1]], 83/250822656], [[[1, 2], [2, 3], [4, 2], [6, 3], [12, 1], [18, 1]], 4103/2579890176], [[[1, 2], [2, 3], [4, 2], [6, 4], [8, 1], [10, 1]], 11/1592524800], [[[1, 2], [2, 3], [4, 2], [6, 4], [8, 1], [12, 1]], 143/859963392], [[[1, 2], [2, 3], [4, 2], [6, 4], [10, 1], [12, 1]], 853/5374771200], [[[1, 2], [2, 3], [4, 2], [7, 1], [8, 1], [14, 1]], 11/14336], [[[1, 2], [2, 3], [4, 2], [7, 1], [9, 1], [12, 1]], 1/145152], [[[1, 2], [2, 3], [4, 2], [7, 1], [10, 1], [14, 1]], 1/4480], [[[1, 2], [2, 3], [4, 2], [7, 1], [12, 1], [14, 1]], 59/112896], [[[1, 2], [2, 3], [4, 2], [7, 1], [12, 1], [18, 1]], 5/435456], [[[1, 2], [2, 3], [4, 2], [8, 1], [9, 1], [18, 1]], 11/18432], [[[1, 2], [2, 3], [4, 2], [8, 1], [10, 1], [12, 2]], 11/2949120], [[[1, 2], [2, 3], [4, 2], [8, 1], [10, 1], [15, 1]], 11/307200], [[[1, 2], [2, 3], [4, 2], [8, 1], [10, 1], [16, 1]], 13/24576], [[[1, 2], [2, 3], [4, 2], [8, 1], [10, 1], [20, 1]], 43/204800], [[[1, 2], [2, 3], [4, 2], [8, 1], [10, 1], [24, 1]], 5/16384], [[[1, 2], [2, 3], [4, 2], [8, 1], [10, 1], [30, 1]], 11/307200], [[[1, 2], [2, 3], [4, 2], [8, 1], [10, 2], [12, 1]], 5/663552], [[[1, 2], [2, 3], [4, 2], [8, 1], [12, 1], [15, 1]], 25/165888], [[[1, 2], [2, 3], [4, 2], [8, 1], [12, 1], [16, 1]], 95/73728], [[[1, 2], [2, 3], [4, 2], [8, 1], [12, 1], [20, 1]], 509/552960], [[[1, 2], [2, 3], [4, 2], [8, 1], [12, 1], [24, 1]], 731/663552], [[[1, 2], [2, 3], [4, 2], [8, 1], [12, 1], [30, 1]], 25/165888], [[[1, 2], [2, 3], [4, 2], [8, 2], [10, 1], [12, 1]], 83/6635520], [[[1, 2], [2, 3], [4, 2], [9, 1], [10, 1], [18, 1]], 1/5760], [[[1, 2], [2, 3], [4, 2], [9, 1], [12, 1], [14, 1]], 1/62208], [[[1, 2], [2, 3], [4, 2], [9, 1], [12, 1], [18, 1]], 553/1679616], [[[1, 2], [2, 3], [4, 2], [10, 1], [12, 1], [15, 1]], 23/1036800], [[[1, 2], [2, 3], [4, 2], [10, 1], [12, 1], [16, 1]], 1/7680], [[[1, 2], [2, 3], [4, 2], [10, 1], [12, 1], [20, 1]], 31/138240], [[[1, 2], [2, 3], [4, 2], [10, 1], [12, 1], [24, 1]], 161/829440], [[[1, 2], [2, 3], [4, 2], [10, 1], [12, 1], [30, 1]], 23/1036800], [[[1, 2], [2, 3], [4, 2], [12, 1], [14, 1], [18, 1]], 1/62208], [[[1, 2], [2, 3], [4, 3], [5, 1], [6, 1], [8, 2]], 1/8847360], [[[1, 2], [2, 3], [4, 3], [5, 1], [6, 1], [10, 2]], 1/27648000], [[[1, 2], [2, 3], [4, 3], [5, 1], [6, 1], [12, 2]], 13/2654208], [[[1, 2], [2, 3], [4, 3], [5, 1], [6, 1], [15, 1]], 1/1382400], [[[1, 2], [2, 3], [4, 3], [5, 1], [6, 1], [20, 1]], 1/921600], [[[1, 2], [2, 3], [4, 3], [5, 1], [6, 1], [24, 1]], 1/1105920], [[[1, 2], [2, 3], [4, 3], [5, 1], [6, 1], [30, 1]], 1/1382400], [[[1, 2], [2, 3], [4, 3], [5, 1], [6, 2], [18, 1]], 1/2488320], [[[1, 2], [2, 3], [4, 3], [5, 1], [6, 3], [12, 1]], 59/358318080], [[[1, 2], [2, 3], [4, 3], [5, 1], [7, 1], [12, 1]], 1/161280], [[[1, 2], [2, 3], [4, 3], [5, 1], [9, 1], [12, 1]], 1/207360], [[[1, 2], [2, 3], [4, 3], [5, 1], [12, 1], [14, 1]], 1/80640], [[[1, 2], [2, 3], [4, 3], [5, 1], [12, 1], [18, 1]], 1/155520], [[[1, 2], [2, 3], [4, 3], [5, 2], [6, 1], [8, 1]], 13/88473600], [[[1, 2], [2, 3], [4, 3], [5, 2], [6, 1], [10, 1]], 1/13824000], [[[1, 2], [2, 3], [4, 3], [5, 2], [6, 1], [12, 1]], 1/3686400], [[[1, 2], [2, 3], [4, 3], [6, 1], [7, 1], [14, 1]], 1/64512], [[[1, 2], [2, 3], [4, 3], [6, 1], [7, 1], [18, 1]], 1/2322432], [[[1, 2], [2, 3], [4, 3], [6, 1], [8, 1], [10, 2]], 13/88473600], [[[1, 2], [2, 3], [4, 3], [6, 1], [8, 1], [12, 2]], 1007/14155776], [[[1, 2], [2, 3], [4, 3], [6, 1], [8, 1], [15, 1]], 13/4423680], [[[1, 2], [2, 3], [4, 3], [6, 1], [8, 1], [16, 1]], 23/294912], [[[1, 2], [2, 3], [4, 3], [6, 1], [8, 1], [20, 1]], 173/2949120], [[[1, 2], [2, 3], [4, 3], [6, 1], [8, 1], [24, 1]], 77/3538944], [[[1, 2], [2, 3], [4, 3], [6, 1], [8, 1], [30, 1]], 13/4423680], [[[1, 2], [2, 3], [4, 3], [6, 1], [8, 2], [10, 1]], 5/884736], [[[1, 2], [2, 3], [4, 3], [6, 1], [8, 2], [12, 1]], 61/1179648], [[[1, 2], [2, 3], [4, 3], [6, 1], [9, 1], [18, 1]], 37/2985984], [[[1, 2], [2, 3], [4, 3], [6, 1], [10, 1], [12, 2]], 5/147456], [[[1, 2], [2, 3], [4, 3], [6, 1], [10, 1], [15, 1]], 1/691200], [[[1, 2], [2, 3], [4, 3], [6, 1], [10, 1], [16, 1]], 1/46080], [[[1, 2], [2, 3], [4, 3], [6, 1], [10, 1], [20, 1]], 11/153600], [[[1, 2], [2, 3], [4, 3], [6, 1], [10, 1], [24, 1]], 1/552960], [[[1, 2], [2, 3], [4, 3], [6, 1], [10, 1], [30, 1]], 1/691200], [[[1, 2], [2, 3], [4, 3], [6, 1], [10, 2], [12, 1]], 67/11059200], [[[1, 2], [2, 3], [4, 3], [6, 1], [12, 1], [15, 1]], 1/184320], [[[1, 2], [2, 3], [4, 3], [6, 1], [12, 1], [16, 1]], 1/36864], [[[1, 2], [2, 3], [4, 3], [6, 1], [12, 1], [20, 1]], 17/122880], [[[1, 2], [2, 3], [4, 3], [6, 1], [12, 1], [24, 1]], 19/442368], [[[1, 2], [2, 3], [4, 3], [6, 1], [12, 1], [30, 1]], 1/184320], [[[1, 2], [2, 3], [4, 3], [6, 1], [14, 1], [18, 1]], 1/1161216], [[[1, 2], [2, 3], [4, 3], [6, 2], [7, 1], [12, 1]], 1/12386304], [[[1, 2], [2, 3], [4, 3], [6, 2], [8, 1], [18, 1]], 13/7962624], [[[1, 2], [2, 3], [4, 3], [6, 2], [9, 1], [12, 1]], 1/15925248], [[[1, 2], [2, 3], [4, 3], [6, 2], [10, 1], [18, 1]], 1/1244160], [[[1, 2], [2, 3], [4, 3], [6, 2], [12, 1], [14, 1]], 1/6193152], [[[1, 2], [2, 3], [4, 3], [6, 2], [12, 1], [18, 1]], 37/11943936], [[[1, 2], [2, 3], [4, 3], [6, 3], [8, 1], [12, 1]], 1471/1146617856], [[[1, 2], [2, 3], [4, 3], [6, 3], [10, 1], [12, 1]], 43/179159040], [[[1, 2], [2, 3], [4, 3], [7, 1], [8, 1], [12, 1]], 1/14336], [[[1, 2], [2, 3], [4, 3], [7, 1], [10, 1], [12, 1]], 1/161280], [[[1, 2], [2, 3], [4, 3], [8, 1], [9, 1], [12, 1]], 53/995328], [[[1, 2], [2, 3], [4, 3], [8, 1], [12, 1], [14, 1]], 5/36864], [[[1, 2], [2, 3], [4, 3], [8, 1], [12, 1], [18, 1]], 35/497664], [[[1, 2], [2, 3], [4, 3], [9, 1], [10, 1], [12, 1]], 1/207360], [[[1, 2], [2, 3], [4, 3], [10, 1], [12, 1], [14, 1]], 1/80640], [[[1, 2], [2, 3], [4, 3], [10, 1], [12, 1], [18, 1]], 1/155520], [[[1, 2], [2, 3], [4, 4], [5, 1], [6, 1], [18, 1]], 121/398131200], [[[1, 2], [2, 3], [4, 4], [5, 1], [6, 2], [12, 1]], 121/2123366400], [[[1, 2], [2, 3], [4, 4], [5, 1], [8, 1], [10, 1]], 1/122880], [[[1, 2], [2, 3], [4, 4], [5, 1], [8, 1], [12, 1]], 7/147456], [[[1, 2], [2, 3], [4, 4], [5, 1], [10, 1], [12, 1]], 11/230400], [[[1, 2], [2, 3], [4, 4], [6, 1], [7, 1], [8, 1]], 1/123863040], [[[1, 2], [2, 3], [4, 4], [6, 1], [7, 1], [10, 1]], 1/51609600], [[[1, 2], [2, 3], [4, 4], [6, 1], [7, 1], [12, 1]], 65/74317824], [[[1, 2], [2, 3], [4, 4], [6, 1], [8, 1], [9, 1]], 1/159252480], [[[1, 2], [2, 3], [4, 4], [6, 1], [8, 1], [14, 1]], 1/61931520], [[[1, 2], [2, 3], [4, 4], [6, 1], [8, 1], [18, 1]], 13523/1911029760], [[[1, 2], [2, 3], [4, 4], [6, 1], [9, 1], [10, 1]], 7/597196800], [[[1, 2], [2, 3], [4, 4], [6, 1], [9, 1], [12, 1]], 653/1433272320], [[[1, 2], [2, 3], [4, 4], [6, 1], [10, 1], [14, 1]], 1/51609600], [[[1, 2], [2, 3], [4, 4], [6, 1], [10, 1], [18, 1]], 379/1194393600], [[[1, 2], [2, 3], [4, 4], [6, 1], [12, 1], [14, 1]], 167/371589120], [[[1, 2], [2, 3], [4, 4], [6, 1], [12, 1], [18, 1]], 581/95551488], [[[1, 2], [2, 3], [4, 4], [6, 2], [8, 1], [10, 1]], 1/132710400], [[[1, 2], [2, 3], [4, 4], [6, 2], [8, 1], [12, 1]], 5377/3397386240], [[[1, 2], [2, 3], [4, 4], [6, 2], [10, 1], [12, 1]], 7/26214400], [[[1, 2], [2, 3], [4, 4], [8, 1], [10, 1], [12, 1]], 7/147456], [[[1, 2], [2, 3], [4, 5], [5, 1], [6, 1], [8, 1]], 1/176947200], [[[1, 2], [2, 3], [4, 5], [5, 1], [6, 1], [10, 1]], 1/110592000], [[[1, 2], [2, 3], [4, 5], [5, 1], [6, 1], [12, 1]], 41/132710400], [[[1, 2], [2, 3], [4, 5], [6, 1], [8, 1], [10, 1]], 41/70778880], [[[1, 2], [2, 3], [4, 5], [6, 1], [8, 1], [12, 1]], 1943/424673280], [[[1, 2], [2, 3], [4, 5], [6, 1], [10, 1], [12, 1]], 211/132710400], [[[1, 2], [2, 3], [5, 1], [6, 1], [8, 2], [18, 1]], 1/1658880], [[[1, 2], [2, 3], [5, 1], [6, 1], [10, 2], [18, 1]], 1/5184000], [[[1, 2], [2, 3], [5, 1], [6, 1], [12, 2], [18, 1]], 1/2488320], [[[1, 2], [2, 3], [5, 1], [6, 1], [15, 1], [18, 1]], 1/259200], [[[1, 2], [2, 3], [5, 1], [6, 1], [18, 1], [20, 1]], 1/172800], [[[1, 2], [2, 3], [5, 1], [6, 1], [18, 1], [24, 1]], 1/207360], [[[1, 2], [2, 3], [5, 1], [6, 1], [18, 1], [30, 1]], 1/259200], [[[1, 2], [2, 3], [5, 1], [6, 2], [8, 2], [12, 1]], 1/8847360], [[[1, 2], [2, 3], [5, 1], [6, 2], [10, 2], [12, 1]], 1/27648000], [[[1, 2], [2, 3], [5, 1], [6, 2], [12, 1], [15, 1]], 1/1382400], [[[1, 2], [2, 3], [5, 1], [6, 2], [12, 1], [20, 1]], 1/921600], [[[1, 2], [2, 3], [5, 1], [6, 2], [12, 1], [24, 1]], 1/1105920], [[[1, 2], [2, 3], [5, 1], [6, 2], [12, 1], [30, 1]], 1/1382400], [[[1, 2], [2, 3], [5, 1], [6, 3], [12, 1], [18, 1]], 1/2488320], [[[1, 2], [2, 3], [5, 2], [6, 1], [7, 1], [8, 1]], 1/1612800], [[[1, 2], [2, 3], [5, 2], [6, 1], [7, 1], [10, 1]], 1/672000], [[[1, 2], [2, 3], [5, 2], [6, 1], [7, 1], [12, 1]], 1/967680], [[[1, 2], [2, 3], [5, 2], [6, 1], [8, 1], [9, 1]], 1/2073600], [[[1, 2], [2, 3], [5, 2], [6, 1], [8, 1], [14, 1]], 1/806400], [[[1, 2], [2, 3], [5, 2], [6, 1], [8, 1], [18, 1]], 23/24883200], [[[1, 2], [2, 3], [5, 2], [6, 1], [9, 1], [10, 1]], 7/7776000], [[[1, 2], [2, 3], [5, 2], [6, 1], [9, 1], [12, 1]], 13/18662400], [[[1, 2], [2, 3], [5, 2], [6, 1], [10, 1], [14, 1]], 1/672000], [[[1, 2], [2, 3], [5, 2], [6, 1], [10, 1], [18, 1]], 19/15552000], [[[1, 2], [2, 3], [5, 2], [6, 1], [12, 1], [14, 1]], 1/691200], [[[1, 2], [2, 3], [5, 2], [6, 1], [12, 1], [18, 1]], 1/1244160], [[[1, 2], [2, 3], [5, 2], [6, 2], [8, 1], [10, 1]], 1/1728000], [[[1, 2], [2, 3], [5, 2], [6, 2], [8, 1], [12, 1]], 71/132710400], [[[1, 2], [2, 3], [5, 2], [6, 2], [10, 1], [12, 1]], 61/82944000], [[[1, 2], [2, 3], [6, 1], [7, 1], [8, 1], [10, 2]], 1/1612800], [[[1, 2], [2, 3], [6, 1], [7, 1], [8, 1], [12, 2]], 1/774144], [[[1, 2], [2, 3], [6, 1], [7, 1], [8, 1], [15, 1]], 1/80640], [[[1, 2], [2, 3], [6, 1], [7, 1], [8, 1], [20, 1]], 1/53760], [[[1, 2], [2, 3], [6, 1], [7, 1], [8, 1], [24, 1]], 1/64512], [[[1, 2], [2, 3], [6, 1], [7, 1], [8, 1], [30, 1]], 1/80640], [[[1, 2], [2, 3], [6, 1], [7, 1], [8, 2], [10, 1]], 1/215040], [[[1, 2], [2, 3], [6, 1], [7, 1], [8, 2], [12, 1]], 5/1548288], [[[1, 2], [2, 3], [6, 1], [7, 1], [9, 1], [18, 1]], 1/108864], [[[1, 2], [2, 3], [6, 1], [7, 1], [10, 1], [12, 2]], 1/322560], [[[1, 2], [2, 3], [6, 1], [7, 1], [10, 1], [15, 1]], 1/33600], [[[1, 2], [2, 3], [6, 1], [7, 1], [10, 1], [20, 1]], 1/22400], [[[1, 2], [2, 3], [6, 1], [7, 1], [10, 1], [24, 1]], 1/26880], [[[1, 2], [2, 3], [6, 1], [7, 1], [10, 1], [30, 1]], 1/33600], [[[1, 2], [2, 3], [6, 1], [7, 1], [10, 2], [12, 1]], 1/967680], [[[1, 2], [2, 3], [6, 1], [7, 1], [12, 1], [15, 1]], 1/48384], [[[1, 2], [2, 3], [6, 1], [7, 1], [12, 1], [20, 1]], 1/32256], [[[1, 2], [2, 3], [6, 1], [7, 1], [12, 1], [24, 1]], 5/193536], [[[1, 2], [2, 3], [6, 1], [7, 1], [12, 1], [30, 1]], 1/48384], [[[1, 2], [2, 3], [6, 1], [7, 1], [14, 1], [18, 1]], 17/84672], [[[1, 2], [2, 3], [6, 1], [8, 1], [9, 1], [10, 2]], 1/2073600], [[[1, 2], [2, 3], [6, 1], [8, 1], [9, 1], [12, 2]], 1/995328], [[[1, 2], [2, 3], [6, 1], [8, 1], [9, 1], [15, 1]], 1/103680], [[[1, 2], [2, 3], [6, 1], [8, 1], [9, 1], [20, 1]], 1/69120], [[[1, 2], [2, 3], [6, 1], [8, 1], [9, 1], [24, 1]], 1/82944], [[[1, 2], [2, 3], [6, 1], [8, 1], [9, 1], [30, 1]], 1/103680], [[[1, 2], [2, 3], [6, 1], [8, 1], [10, 2], [14, 1]], 1/806400], [[[1, 2], [2, 3], [6, 1], [8, 1], [10, 2], [18, 1]], 23/24883200], [[[1, 2], [2, 3], [6, 1], [8, 1], [12, 2], [14, 1]], 1/387072], [[[1, 2], [2, 3], [6, 1], [8, 1], [12, 2], [18, 1]], 23/11943936], [[[1, 2], [2, 3], [6, 1], [8, 1], [14, 1], [15, 1]], 1/40320], [[[1, 2], [2, 3], [6, 1], [8, 1], [14, 1], [20, 1]], 1/26880], [[[1, 2], [2, 3], [6, 1], [8, 1], [14, 1], [24, 1]], 1/32256], [[[1, 2], [2, 3], [6, 1], [8, 1], [14, 1], [30, 1]], 1/40320], [[[1, 2], [2, 3], [6, 1], [8, 1], [15, 1], [18, 1]], 23/1244160], [[[1, 2], [2, 3], [6, 1], [8, 1], [16, 1], [18, 1]], 1/27648], [[[1, 2], [2, 3], [6, 1], [8, 1], [18, 1], [20, 1]], 23/829440], [[[1, 2], [2, 3], [6, 1], [8, 1], [18, 1], [24, 1]], 23/995328], [[[1, 2], [2, 3], [6, 1], [8, 1], [18, 1], [30, 1]], 23/1244160], [[[1, 2], [2, 3], [6, 1], [8, 2], [9, 1], [10, 1]], 7/2488320], [[[1, 2], [2, 3], [6, 1], [8, 2], [9, 1], [12, 1]], 13/5971968], [[[1, 2], [2, 3], [6, 1], [8, 2], [10, 1], [14, 1]], 1/215040], [[[1, 2], [2, 3], [6, 1], [8, 2], [10, 1], [18, 1]], 19/4976640], [[[1, 2], [2, 3], [6, 1], [8, 2], [12, 1], [14, 1]], 1/221184], [[[1, 2], [2, 3], [6, 1], [8, 2], [12, 1], [18, 1]], 5/1990656], [[[1, 2], [2, 3], [6, 1], [9, 1], [10, 1], [12, 2]], 7/3732480], [[[1, 2], [2, 3], [6, 1], [9, 1], [10, 1], [15, 1]], 7/388800], [[[1, 2], [2, 3], [6, 1], [9, 1], [10, 1], [20, 1]], 7/259200], [[[1, 2], [2, 3], [6, 1], [9, 1], [10, 1], [24, 1]], 7/311040], [[[1, 2], [2, 3], [6, 1], [9, 1], [10, 1], [30, 1]], 7/388800], [[[1, 2], [2, 3], [6, 1], [9, 1], [10, 2], [12, 1]], 13/18662400], [[[1, 2], [2, 3], [6, 1], [9, 1], [12, 1], [15, 1]], 13/933120], [[[1, 2], [2, 3], [6, 1], [9, 1], [12, 1], [20, 1]], 13/622080], [[[1, 2], [2, 3], [6, 1], [9, 1], [12, 1], [24, 1]], 13/746496], [[[1, 2], [2, 3], [6, 1], [9, 1], [12, 1], [30, 1]], 13/933120], [[[1, 2], [2, 3], [6, 1], [9, 1], [14, 1], [18, 1]], 1/46656], [[[1, 2], [2, 3], [6, 1], [10, 1], [12, 2], [14, 1]], 1/322560], [[[1, 2], [2, 3], [6, 1], [10, 1], [12, 2], [18, 1]], 19/7464960], [[[1, 2], [2, 3], [6, 1], [10, 1], [14, 1], [15, 1]], 1/33600], [[[1, 2], [2, 3], [6, 1], [10, 1], [14, 1], [20, 1]], 1/22400], [[[1, 2], [2, 3], [6, 1], [10, 1], [14, 1], [24, 1]], 1/26880], [[[1, 2], [2, 3], [6, 1], [10, 1], [14, 1], [30, 1]], 1/33600], [[[1, 2], [2, 3], [6, 1], [10, 1], [15, 1], [18, 1]], 19/777600], [[[1, 2], [2, 3], [6, 1], [10, 1], [18, 1], [20, 1]], 19/518400], [[[1, 2], [2, 3], [6, 1], [10, 1], [18, 1], [24, 1]], 19/622080], [[[1, 2], [2, 3], [6, 1], [10, 1], [18, 1], [30, 1]], 19/777600], [[[1, 2], [2, 3], [6, 1], [10, 2], [12, 1], [14, 1]], 1/691200], [[[1, 2], [2, 3], [6, 1], [10, 2], [12, 1], [18, 1]], 1/1244160], [[[1, 2], [2, 3], [6, 1], [12, 1], [14, 1], [15, 1]], 1/34560], [[[1, 2], [2, 3], [6, 1], [12, 1], [14, 1], [20, 1]], 1/23040], [[[1, 2], [2, 3], [6, 1], [12, 1], [14, 1], [24, 1]], 1/27648], [[[1, 2], [2, 3], [6, 1], [12, 1], [14, 1], [30, 1]], 1/34560], [[[1, 2], [2, 3], [6, 1], [12, 1], [15, 1], [18, 1]], 1/62208], [[[1, 2], [2, 3], [6, 1], [12, 1], [18, 1], [20, 1]], 1/41472], [[[1, 2], [2, 3], [6, 1], [12, 1], [18, 1], [24, 1]], 5/248832], [[[1, 2], [2, 3], [6, 1], [12, 1], [18, 1], [30, 1]], 1/62208], [[[1, 2], [2, 3], [6, 2], [7, 1], [8, 1], [18, 1]], 1/145152], [[[1, 2], [2, 3], [6, 2], [7, 1], [9, 1], [12, 1]], 1/580608], [[[1, 2], [2, 3], [6, 2], [7, 1], [10, 1], [18, 1]], 1/60480], [[[1, 2], [2, 3], [6, 2], [7, 1], [12, 1], [14, 1]], 17/451584], [[[1, 2], [2, 3], [6, 2], [7, 1], [12, 1], [18, 1]], 25/1741824], [[[1, 2], [2, 3], [6, 2], [8, 1], [9, 1], [18, 1]], 1/186624], [[[1, 2], [2, 3], [6, 2], [8, 1], [10, 1], [12, 2]], 1/829440], [[[1, 2], [2, 3], [6, 2], [8, 1], [10, 1], [15, 1]], 1/86400], [[[1, 2], [2, 3], [6, 2], [8, 1], [10, 1], [20, 1]], 1/57600], [[[1, 2], [2, 3], [6, 2], [8, 1], [10, 1], [24, 1]], 1/69120], [[[1, 2], [2, 3], [6, 2], [8, 1], [10, 1], [30, 1]], 1/86400], [[[1, 2], [2, 3], [6, 2], [8, 1], [10, 2], [12, 1]], 71/132710400], [[[1, 2], [2, 3], [6, 2], [8, 1], [12, 1], [15, 1]], 71/6635520], [[[1, 2], [2, 3], [6, 2], [8, 1], [12, 1], [16, 1]], 1/147456], [[[1, 2], [2, 3], [6, 2], [8, 1], [12, 1], [20, 1]], 71/4423680], [[[1, 2], [2, 3], [6, 2], [8, 1], [12, 1], [24, 1]], 71/5308416], [[[1, 2], [2, 3], [6, 2], [8, 1], [12, 1], [30, 1]], 71/6635520], [[[1, 2], [2, 3], [6, 2], [8, 1], [14, 1], [18, 1]], 1/72576], [[[1, 2], [2, 3], [6, 2], [8, 2], [10, 1], [12, 1]], 61/26542080], [[[1, 2], [2, 3], [6, 2], [9, 1], [10, 1], [18, 1]], 7/699840], [[[1, 2], [2, 3], [6, 2], [9, 1], [12, 1], [14, 1]], 1/248832], [[[1, 2], [2, 3], [6, 2], [9, 1], [12, 1], [18, 1]], 119/6718464], [[[1, 2], [2, 3], [6, 2], [10, 1], [12, 1], [15, 1]], 61/4147200], [[[1, 2], [2, 3], [6, 2], [10, 1], [12, 1], [20, 1]], 61/2764800], [[[1, 2], [2, 3], [6, 2], [10, 1], [12, 1], [24, 1]], 61/3317760], [[[1, 2], [2, 3], [6, 2], [10, 1], [12, 1], [30, 1]], 61/4147200], [[[1, 2], [2, 3], [6, 2], [10, 1], [14, 1], [18, 1]], 1/60480], [[[1, 2], [2, 3], [6, 2], [12, 1], [14, 1], [18, 1]], 5/248832], [[[1, 2], [2, 3], [6, 3], [7, 1], [8, 1], [12, 1]], 1/774144], [[[1, 2], [2, 3], [6, 3], [7, 1], [10, 1], [12, 1]], 1/322560], [[[1, 2], [2, 3], [6, 3], [8, 1], [9, 1], [12, 1]], 1/995328], [[[1, 2], [2, 3], [6, 3], [8, 1], [10, 1], [18, 1]], 1/155520], [[[1, 2], [2, 3], [6, 3], [8, 1], [12, 1], [14, 1]], 1/387072], [[[1, 2], [2, 3], [6, 3], [8, 1], [12, 1], [18, 1]], 29/3981312], [[[1, 2], [2, 3], [6, 3], [9, 1], [10, 1], [12, 1]], 7/3732480], [[[1, 2], [2, 3], [6, 3], [10, 1], [12, 1], [14, 1]], 1/322560], [[[1, 2], [2, 3], [6, 3], [10, 1], [12, 1], [18, 1]], 5/497664], [[[1, 2], [2, 3], [6, 4], [8, 1], [10, 1], [12, 1]], 1/829440], [[[1, 2], [2, 5], [3, 1], [4, 1], [5, 1], [6, 5]], 23/3583180800], [[[1, 2], [2, 5], [3, 1], [4, 1], [5, 2], [6, 3]], 403/5374771200], [[[1, 2], [2, 5], [3, 1], [4, 1], [5, 2], [7, 1]], 1/19353600], [[[1, 2], [2, 5], [3, 1], [4, 1], [5, 2], [9, 1]], 61/995328000], [[[1, 2], [2, 5], [3, 1], [4, 1], [5, 2], [14, 1]], 19/2419200], [[[1, 2], [2, 5], [3, 1], [4, 1], [5, 2], [18, 1]], 77/37324800], [[[1, 2], [2, 5], [3, 1], [4, 1], [5, 3], [6, 1]], 1/4608000], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [8, 3]], 211/21233664], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [9, 2]], 1/746496], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [10, 3]], 23/51840000], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [12, 3]], 73/15925248], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [14, 2]], 1/75264], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [18, 2]], 1/279936], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [28, 1]], 1/16128], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [36, 1]], 1/20736], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 3], [8, 2]], 997/1719926784], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 3], [10, 2]], 19699/5374771200], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 3], [12, 2]], 13093/2579890176], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 3], [15, 1]], 259/268738560], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 3], [16, 1]], 7/497664], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 3], [20, 1]], 259/179159040], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 3], [24, 1]], 3283/214990848], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 3], [30, 1]], 259/268738560], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 4], [7, 1]], 23/716636160], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 4], [9, 1]], 16061/257989017600], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 4], [14, 1]], 101/627056640], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 4], [18, 1]], 383/644972544], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 5], [8, 1]], 161/3439853568], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 5], [10, 1]], 61/746496000], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 5], [12, 1]], 94643/8599633920], [[[1, 2], [2, 5], [3, 1], [4, 1], [7, 1], [8, 2]], 19/6193152], [[[1, 2], [2, 5], [3, 1], [4, 1], [7, 1], [10, 2]], 1/19353600], [[[1, 2], [2, 5], [3, 1], [4, 1], [7, 1], [12, 2]], 1/9289728], [[[1, 2], [2, 5], [3, 1], [4, 1], [7, 1], [15, 1]], 1/967680], [[[1, 2], [2, 5], [3, 1], [4, 1], [7, 1], [20, 1]], 1/645120], [[[1, 2], [2, 5], [3, 1], [4, 1], [7, 1], [24, 1]], 1/774144], [[[1, 2], [2, 5], [3, 1], [4, 1], [7, 1], [30, 1]], 1/967680], [[[1, 2], [2, 5], [3, 1], [4, 1], [8, 2], [9, 1]], 1801/318504960], [[[1, 2], [2, 5], [3, 1], [4, 1], [8, 2], [14, 1]], 1/27648], [[[1, 2], [2, 5], [3, 1], [4, 1], [8, 2], [18, 1]], 131/11943936], [[[1, 2], [2, 5], [3, 1], [4, 1], [9, 1], [10, 2]], 2173/995328000], [[[1, 2], [2, 5], [3, 1], [4, 1], [9, 1], [12, 2]], 61/477757440], [[[1, 2], [2, 5], [3, 1], [4, 1], [9, 1], [15, 1]], 61/49766400], [[[1, 2], [2, 5], [3, 1], [4, 1], [9, 1], [20, 1]], 61/33177600], [[[1, 2], [2, 5], [3, 1], [4, 1], [9, 1], [24, 1]], 61/39813120], [[[1, 2], [2, 5], [3, 1], [4, 1], [9, 1], [30, 1]], 61/49766400], [[[1, 2], [2, 5], [3, 1], [4, 1], [10, 2], [14, 1]], 1/2419200], [[[1, 2], [2, 5], [3, 1], [4, 1], [10, 2], [18, 1]], 1/7464960], [[[1, 2], [2, 5], [3, 1], [4, 1], [12, 2], [14, 1]], 19/1161216], [[[1, 2], [2, 5], [3, 1], [4, 1], [12, 2], [18, 1]], 77/17915904], [[[1, 2], [2, 5], [3, 1], [4, 1], [14, 1], [15, 1]], 1/120960], [[[1, 2], [2, 5], [3, 1], [4, 1], [14, 1], [20, 1]], 1/80640], [[[1, 2], [2, 5], [3, 1], [4, 1], [14, 1], [24, 1]], 1/96768], [[[1, 2], [2, 5], [3, 1], [4, 1], [14, 1], [30, 1]], 1/120960], [[[1, 2], [2, 5], [3, 1], [4, 1], [15, 1], [18, 1]], 1/373248], [[[1, 2], [2, 5], [3, 1], [4, 1], [18, 1], [20, 1]], 1/248832], [[[1, 2], [2, 5], [3, 1], [4, 1], [18, 1], [24, 1]], 5/1492992], [[[1, 2], [2, 5], [3, 1], [4, 1], [18, 1], [30, 1]], 1/373248], [[[1, 2], [2, 5], [3, 1], [4, 2], [5, 1], [6, 4]], 5471/171992678400], [[[1, 2], [2, 5], [3, 1], [4, 2], [5, 1], [8, 2]], 1651/212336640], [[[1, 2], [2, 5], [3, 1], [4, 2], [5, 1], [10, 2]], 31/663552000], [[[1, 2], [2, 5], [3, 1], [4, 2], [5, 1], [12, 2]], 31/318504960], [[[1, 2], [2, 5], [3, 1], [4, 2], [5, 1], [15, 1]], 31/33177600], [[[1, 2], [2, 5], [3, 1], [4, 2], [5, 1], [20, 1]], 31/22118400], [[[1, 2], [2, 5], [3, 1], [4, 2], [5, 1], [24, 1]], 31/26542080], [[[1, 2], [2, 5], [3, 1], [4, 2], [5, 1], [30, 1]], 31/33177600], [[[1, 2], [2, 5], [3, 1], [4, 2], [5, 2], [6, 2]], 811/7166361600], [[[1, 2], [2, 5], [3, 1], [4, 2], [5, 2], [8, 1]], 389/212336640], [[[1, 2], [2, 5], [3, 1], [4, 2], [5, 2], [10, 1]], 31/829440000], [[[1, 2], [2, 5], [3, 1], [4, 2], [5, 2], [12, 1]], 89/1194393600], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 2], [8, 2]], 8587/2293235712], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 2], [10, 2]], 22411/7166361600], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 2], [12, 2]], 203993/3439853568], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 2], [15, 1]], 811/358318080], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 2], [16, 1]], 1/36864], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 2], [20, 1]], 811/238878720], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 2], [24, 1]], 9451/286654464], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 2], [30, 1]], 811/358318080], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 3], [7, 1]], 1/9289728], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 3], [9, 1]], 983/5159780352], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 3], [14, 1]], 1/3919104], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 3], [18, 1]], 2669/1934917632], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 4], [8, 1]], 139097/275188285440], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 4], [10, 1]], 30431/214990848000], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 4], [12, 1]], 428999/309586821120], [[[1, 2], [2, 5], [3, 1], [4, 2], [7, 1], [9, 1]], 1/3981312], [[[1, 2], [2, 5], [3, 1], [4, 2], [7, 1], [14, 1]], 1/64512], [[[1, 2], [2, 5], [3, 1], [4, 2], [8, 1], [10, 2]], 217/1061683200], [[[1, 2], [2, 5], [3, 1], [4, 2], [8, 1], [12, 2]], 2137/509607936], [[[1, 2], [2, 5], [3, 1], [4, 2], [8, 1], [15, 1]], 217/53084160], [[[1, 2], [2, 5], [3, 1], [4, 2], [8, 1], [16, 1]], 121/3538944], [[[1, 2], [2, 5], [3, 1], [4, 2], [8, 1], [20, 1]], 601/35389440], [[[1, 2], [2, 5], [3, 1], [4, 2], [8, 1], [24, 1]], 985/42467328], [[[1, 2], [2, 5], [3, 1], [4, 2], [8, 1], [30, 1]], 217/53084160], [[[1, 2], [2, 5], [3, 1], [4, 2], [8, 2], [10, 1]], 571/265420800], [[[1, 2], [2, 5], [3, 1], [4, 2], [8, 2], [12, 1]], 4145/382205952], [[[1, 2], [2, 5], [3, 1], [4, 2], [9, 1], [14, 1]], 187/55738368], [[[1, 2], [2, 5], [3, 1], [4, 2], [9, 1], [18, 1]], 935/71663616], [[[1, 2], [2, 5], [3, 1], [4, 2], [10, 1], [12, 2]], 23/15925248], [[[1, 2], [2, 5], [3, 1], [4, 2], [10, 1], [15, 1]], 31/41472000], [[[1, 2], [2, 5], [3, 1], [4, 2], [10, 1], [20, 1]], 31/27648000], [[[1, 2], [2, 5], [3, 1], [4, 2], [10, 1], [24, 1]], 31/33177600], [[[1, 2], [2, 5], [3, 1], [4, 2], [10, 1], [30, 1]], 31/41472000], [[[1, 2], [2, 5], [3, 1], [4, 2], [10, 2], [12, 1]], 89/1194393600], [[[1, 2], [2, 5], [3, 1], [4, 2], [12, 1], [15, 1]], 89/59719680], [[[1, 2], [2, 5], [3, 1], [4, 2], [12, 1], [16, 1]], 1/110592], [[[1, 2], [2, 5], [3, 1], [4, 2], [12, 1], [20, 1]], 401/39813120], [[[1, 2], [2, 5], [3, 1], [4, 2], [12, 1], [24, 1]], 533/47775744], [[[1, 2], [2, 5], [3, 1], [4, 2], [12, 1], [30, 1]], 89/59719680], [[[1, 2], [2, 5], [3, 1], [4, 2], [14, 1], [18, 1]], 1/3483648], [[[1, 2], [2, 5], [3, 1], [4, 3], [5, 1], [6, 3]], 11/143327232], [[[1, 2], [2, 5], [3, 1], [4, 3], [5, 1], [9, 1]], 13/79626240], [[[1, 2], [2, 5], [3, 1], [4, 3], [5, 1], [14, 1]], 1/2580480], [[[1, 2], [2, 5], [3, 1], [4, 3], [5, 1], [18, 1]], 1/9953280], [[[1, 2], [2, 5], [3, 1], [4, 3], [5, 2], [6, 1]], 629/1592524800], [[[1, 2], [2, 5], [3, 1], [4, 3], [6, 1], [8, 2]], 14633/509607936], [[[1, 2], [2, 5], [3, 1], [4, 3], [6, 1], [10, 2]], 53/1592524800], [[[1, 2], [2, 5], [3, 1], [4, 3], [6, 1], [12, 2]], 259/28311552], [[[1, 2], [2, 5], [3, 1], [4, 3], [6, 1], [15, 1]], 53/79626240], [[[1, 2], [2, 5], [3, 1], [4, 3], [6, 1], [16, 1]], 29/3538944], [[[1, 2], [2, 5], [3, 1], [4, 3], [6, 1], [20, 1]], 821/53084160], [[[1, 2], [2, 5], [3, 1], [4, 3], [6, 1], [24, 1]], 287/63700992], [[[1, 2], [2, 5], [3, 1], [4, 3], [6, 1], [30, 1]], 53/79626240], [[[1, 2], [2, 5], [3, 1], [4, 3], [6, 2], [7, 1]], 1/2322432], [[[1, 2], [2, 5], [3, 1], [4, 3], [6, 2], [9, 1]], 133/214990848], [[[1, 2], [2, 5], [3, 1], [4, 3], [6, 2], [14, 1]], 5/5308416], [[[1, 2], [2, 5], [3, 1], [4, 3], [6, 2], [18, 1]], 5/5971968], [[[1, 2], [2, 5], [3, 1], [4, 3], [6, 3], [8, 1]], 647/382205952], [[[1, 2], [2, 5], [3, 1], [4, 3], [6, 3], [10, 1]], 41/79626240], [[[1, 2], [2, 5], [3, 1], [4, 3], [6, 3], [12, 1]], 116351/20639121408], [[[1, 2], [2, 5], [3, 1], [4, 3], [7, 1], [12, 1]], 1/2322432], [[[1, 2], [2, 5], [3, 1], [4, 3], [8, 1], [9, 1]], 313/254803968], [[[1, 2], [2, 5], [3, 1], [4, 3], [8, 1], [14, 1]], 1/1376256], [[[1, 2], [2, 5], [3, 1], [4, 3], [8, 1], [18, 1]], 1/5308416], [[[1, 2], [2, 5], [3, 1], [4, 3], [9, 1], [10, 1]], 109/398131200], [[[1, 2], [2, 5], [3, 1], [4, 3], [9, 1], [12, 1]], 187/238878720], [[[1, 2], [2, 5], [3, 1], [4, 3], [12, 1], [14, 1]], 73/18579456], [[[1, 2], [2, 5], [3, 1], [4, 3], [12, 1], [18, 1]], 89/71663616], [[[1, 2], [2, 5], [3, 1], [4, 4], [5, 1], [6, 2]], 293/895795200], [[[1, 2], [2, 5], [3, 1], [4, 4], [5, 1], [8, 1]], 181/2123366400], [[[1, 2], [2, 5], [3, 1], [4, 4], [5, 1], [10, 1]], 1/552960000], [[[1, 2], [2, 5], [3, 1], [4, 4], [5, 1], [12, 1]], 31/79626240], [[[1, 2], [2, 5], [3, 1], [4, 4], [6, 1], [7, 1]], 1/371589120], [[[1, 2], [2, 5], [3, 1], [4, 4], [6, 1], [9, 1]], 18647/85996339200], [[[1, 2], [2, 5], [3, 1], [4, 4], [6, 1], [14, 1]], 313/185794560], [[[1, 2], [2, 5], [3, 1], [4, 4], [6, 1], [18, 1]], 15823/34398535680], [[[1, 2], [2, 5], [3, 1], [4, 4], [6, 2], [8, 1]], 720389/91729428480], [[[1, 2], [2, 5], [3, 1], [4, 4], [6, 2], [10, 1]], 51977/47775744000], [[[1, 2], [2, 5], [3, 1], [4, 4], [6, 2], [12, 1]], 12602669/550376570880], [[[1, 2], [2, 5], [3, 1], [4, 4], [8, 1], [10, 1]], 11/5308416000], [[[1, 2], [2, 5], [3, 1], [4, 4], [8, 1], [12, 1]], 20743/5096079360], [[[1, 2], [2, 5], [3, 1], [4, 4], [10, 1], [12, 1]], 2497/7962624000], [[[1, 2], [2, 5], [3, 1], [4, 5], [5, 1], [6, 1]], 23/1061683200], [[[1, 2], [2, 5], [3, 1], [4, 5], [6, 1], [8, 1]], 4171/5096079360], [[[1, 2], [2, 5], [3, 1], [4, 5], [6, 1], [10, 1]], 23/3981312000], [[[1, 2], [2, 5], [3, 1], [4, 5], [6, 1], [12, 1]], 1471/849346560], [[[1, 2], [2, 5], [3, 1], [5, 1], [6, 2], [8, 2]], 1/7464960], [[[1, 2], [2, 5], [3, 1], [5, 1], [6, 2], [10, 2]], 1729/23328000], [[[1, 2], [2, 5], [3, 1], [5, 1], [6, 2], [12, 2]], 19/11197440], [[[1, 2], [2, 5], [3, 1], [5, 1], [6, 2], [15, 1]], 1/1166400], [[[1, 2], [2, 5], [3, 1], [5, 1], [6, 2], [20, 1]], 1/777600], [[[1, 2], [2, 5], [3, 1], [5, 1], [6, 2], [24, 1]], 1/933120], [[[1, 2], [2, 5], [3, 1], [5, 1], [6, 2], [30, 1]], 1/1166400], [[[1, 2], [2, 5], [3, 1], [5, 1], [6, 3], [7, 1]], 1/26127360], [[[1, 2], [2, 5], [3, 1], [5, 1], [6, 3], [9, 1]], 1/22394880], [[[1, 2], [2, 5], [3, 1], [5, 1], [6, 3], [14, 1]], 1/4354560], [[[1, 2], [2, 5], [3, 1], [5, 1], [6, 3], [18, 1]], 7/12597120], [[[1, 2], [2, 5], [3, 1], [5, 1], [6, 4], [8, 1]], 161/7166361600], [[[1, 2], [2, 5], [3, 1], [5, 1], [6, 4], [10, 1]], 1201/1866240000], [[[1, 2], [2, 5], [3, 1], [5, 1], [6, 4], [12, 1]], 1/6718464], [[[1, 2], [2, 5], [3, 1], [5, 1], [7, 1], [14, 1]], 1/94080], [[[1, 2], [2, 5], [3, 1], [5, 1], [7, 1], [18, 1]], 1/362880], [[[1, 2], [2, 5], [3, 1], [5, 1], [8, 1], [10, 2]], 1/27648000], [[[1, 2], [2, 5], [3, 1], [5, 1], [8, 1], [12, 2]], 1/13271040], [[[1, 2], [2, 5], [3, 1], [5, 1], [8, 1], [15, 1]], 1/1382400], [[[1, 2], [2, 5], [3, 1], [5, 1], [8, 1], [20, 1]], 1/921600], [[[1, 2], [2, 5], [3, 1], [5, 1], [8, 1], [24, 1]], 1/1105920], [[[1, 2], [2, 5], [3, 1], [5, 1], [8, 1], [30, 1]], 1/1382400], [[[1, 2], [2, 5], [3, 1], [5, 1], [8, 2], [10, 1]], 1/2304000], [[[1, 2], [2, 5], [3, 1], [5, 1], [9, 1], [14, 1]], 1/80640], [[[1, 2], [2, 5], [3, 1], [5, 1], [9, 1], [18, 1]], 1/311040], [[[1, 2], [2, 5], [3, 1], [5, 1], [10, 1], [12, 2]], 1/3456000], [[[1, 2], [2, 5], [3, 1], [5, 1], [10, 1], [15, 1]], 1/360000], [[[1, 2], [2, 5], [3, 1], [5, 1], [10, 1], [20, 1]], 1/240000], [[[1, 2], [2, 5], [3, 1], [5, 1], [10, 1], [24, 1]], 1/288000], [[[1, 2], [2, 5], [3, 1], [5, 1], [10, 1], [30, 1]], 1/360000], [[[1, 2], [2, 5], [3, 1], [5, 1], [14, 1], [18, 1]], 1/60480], [[[1, 2], [2, 5], [3, 1], [5, 2], [6, 1], [7, 1]], 1/4838400], [[[1, 2], [2, 5], [3, 1], [5, 2], [6, 1], [9, 1]], 197/1119744000], [[[1, 2], [2, 5], [3, 1], [5, 2], [6, 1], [14, 1]], 1/806400], [[[1, 2], [2, 5], [3, 1], [5, 2], [6, 1], [18, 1]], 193/447897600], [[[1, 2], [2, 5], [3, 1], [5, 2], [6, 2], [8, 1]], 209/1194393600], [[[1, 2], [2, 5], [3, 1], [5, 2], [6, 2], [10, 1]], 377/622080000], [[[1, 2], [2, 5], [3, 1], [5, 2], [6, 2], [12, 1]], 2659/7166361600], [[[1, 2], [2, 5], [3, 1], [5, 2], [8, 1], [10, 1]], 11/69120000], [[[1, 2], [2, 5], [3, 1], [5, 2], [8, 1], [12, 1]], 1/22118400], [[[1, 2], [2, 5], [3, 1], [5, 2], [10, 1], [12, 1]], 17/103680000], [[[1, 2], [2, 5], [3, 1], [6, 1], [7, 1], [8, 2]], 1/1548288], [[[1, 2], [2, 5], [3, 1], [6, 1], [7, 1], [10, 2]], 1/4838400], [[[1, 2], [2, 5], [3, 1], [6, 1], [7, 1], [12, 2]], 1/331776], [[[1, 2], [2, 5], [3, 1], [6, 1], [7, 1], [15, 1]], 1/241920], [[[1, 2], [2, 5], [3, 1], [6, 1], [7, 1], [20, 1]], 1/161280], [[[1, 2], [2, 5], [3, 1], [6, 1], [7, 1], [24, 1]], 1/193536], [[[1, 2], [2, 5], [3, 1], [6, 1], [7, 1], [30, 1]], 1/241920], [[[1, 2], [2, 5], [3, 1], [6, 1], [8, 2], [9, 1]], 377/358318080], [[[1, 2], [2, 5], [3, 1], [6, 1], [8, 2], [14, 1]], 1/36864], [[[1, 2], [2, 5], [3, 1], [6, 1], [8, 2], [18, 1]], 1129/143327232], [[[1, 2], [2, 5], [3, 1], [6, 1], [9, 1], [10, 2]], 5381/1119744000], [[[1, 2], [2, 5], [3, 1], [6, 1], [9, 1], [12, 2]], 1277/537477120], [[[1, 2], [2, 5], [3, 1], [6, 1], [9, 1], [15, 1]], 197/55987200], [[[1, 2], [2, 5], [3, 1], [6, 1], [9, 1], [20, 1]], 197/37324800], [[[1, 2], [2, 5], [3, 1], [6, 1], [9, 1], [24, 1]], 197/44789760], [[[1, 2], [2, 5], [3, 1], [6, 1], [9, 1], [30, 1]], 197/55987200], [[[1, 2], [2, 5], [3, 1], [6, 1], [10, 2], [14, 1]], 1/806400], [[[1, 2], [2, 5], [3, 1], [6, 1], [10, 2], [18, 1]], 193/447897600], [[[1, 2], [2, 5], [3, 1], [6, 1], [12, 2], [14, 1]], 31/1161216], [[[1, 2], [2, 5], [3, 1], [6, 1], [12, 2], [18, 1]], 1825/214990848], [[[1, 2], [2, 5], [3, 1], [6, 1], [14, 1], [15, 1]], 1/40320], [[[1, 2], [2, 5], [3, 1], [6, 1], [14, 1], [20, 1]], 1/26880], [[[1, 2], [2, 5], [3, 1], [6, 1], [14, 1], [24, 1]], 1/10752], [[[1, 2], [2, 5], [3, 1], [6, 1], [14, 1], [30, 1]], 1/40320], [[[1, 2], [2, 5], [3, 1], [6, 1], [15, 1], [18, 1]], 193/22394880], [[[1, 2], [2, 5], [3, 1], [6, 1], [18, 1], [20, 1]], 193/14929920], [[[1, 2], [2, 5], [3, 1], [6, 1], [18, 1], [24, 1]], 481/17915904], [[[1, 2], [2, 5], [3, 1], [6, 1], [18, 1], [30, 1]], 193/22394880], [[[1, 2], [2, 5], [3, 1], [6, 2], [7, 1], [9, 1]], 1/979776], [[[1, 2], [2, 5], [3, 1], [6, 2], [7, 1], [14, 1]], 1/451584], [[[1, 2], [2, 5], [3, 1], [6, 2], [7, 1], [18, 1]], 5/1741824], [[[1, 2], [2, 5], [3, 1], [6, 2], [8, 1], [10, 2]], 5393/1194393600], [[[1, 2], [2, 5], [3, 1], [6, 2], [8, 1], [12, 2]], 2135/573308928], [[[1, 2], [2, 5], [3, 1], [6, 2], [8, 1], [15, 1]], 209/59719680], [[[1, 2], [2, 5], [3, 1], [6, 2], [8, 1], [20, 1]], 209/39813120], [[[1, 2], [2, 5], [3, 1], [6, 2], [8, 1], [24, 1]], 209/47775744], [[[1, 2], [2, 5], [3, 1], [6, 2], [8, 1], [30, 1]], 209/59719680], [[[1, 2], [2, 5], [3, 1], [6, 2], [8, 2], [10, 1]], 2537/199065600], [[[1, 2], [2, 5], [3, 1], [6, 2], [8, 2], [12, 1]], 13243/2293235712], [[[1, 2], [2, 5], [3, 1], [6, 2], [9, 1], [14, 1]], 71/15676416], [[[1, 2], [2, 5], [3, 1], [6, 2], [9, 1], [18, 1]], 821/100776960], [[[1, 2], [2, 5], [3, 1], [6, 2], [10, 1], [12, 2]], 3839/298598400], [[[1, 2], [2, 5], [3, 1], [6, 2], [10, 1], [15, 1]], 377/31104000], [[[1, 2], [2, 5], [3, 1], [6, 2], [10, 1], [20, 1]], 377/20736000], [[[1, 2], [2, 5], [3, 1], [6, 2], [10, 1], [24, 1]], 1097/24883200], [[[1, 2], [2, 5], [3, 1], [6, 2], [10, 1], [30, 1]], 377/31104000], [[[1, 2], [2, 5], [3, 1], [6, 2], [10, 2], [12, 1]], 37219/7166361600], [[[1, 2], [2, 5], [3, 1], [6, 2], [12, 1], [15, 1]], 2659/358318080], [[[1, 2], [2, 5], [3, 1], [6, 2], [12, 1], [20, 1]], 2659/238878720], [[[1, 2], [2, 5], [3, 1], [6, 2], [12, 1], [24, 1]], 6115/286654464], [[[1, 2], [2, 5], [3, 1], [6, 2], [12, 1], [30, 1]], 2659/358318080], [[[1, 2], [2, 5], [3, 1], [6, 2], [14, 1], [18, 1]], 11/653184], [[[1, 2], [2, 5], [3, 1], [6, 3], [7, 1], [8, 1]], 1/20901888], [[[1, 2], [2, 5], [3, 1], [6, 3], [7, 1], [10, 1]], 1/967680], [[[1, 2], [2, 5], [3, 1], [6, 3], [7, 1], [12, 1]], 19/20901888], [[[1, 2], [2, 5], [3, 1], [6, 3], [8, 1], [9, 1]], 95/161243136], [[[1, 2], [2, 5], [3, 1], [6, 3], [8, 1], [14, 1]], 1/653184], [[[1, 2], [2, 5], [3, 1], [6, 3], [8, 1], [18, 1]], 763/322486272], [[[1, 2], [2, 5], [3, 1], [6, 3], [9, 1], [10, 1]], 547/251942400], [[[1, 2], [2, 5], [3, 1], [6, 3], [9, 1], [12, 1]], 877/537477120], [[[1, 2], [2, 5], [3, 1], [6, 3], [10, 1], [14, 1]], 1/290304], [[[1, 2], [2, 5], [3, 1], [6, 3], [10, 1], [18, 1]], 457/55987200], [[[1, 2], [2, 5], [3, 1], [6, 3], [12, 1], [14, 1]], 23/4478976], [[[1, 2], [2, 5], [3, 1], [6, 3], [12, 1], [18, 1]], 11465/1934917632], [[[1, 2], [2, 5], [3, 1], [6, 4], [8, 1], [10, 1]], 12811/17915904000], [[[1, 2], [2, 5], [3, 1], [6, 4], [8, 1], [12, 1]], 12193/17199267840], [[[1, 2], [2, 5], [3, 1], [6, 4], [10, 1], [12, 1]], 65947/26873856000], [[[1, 2], [2, 5], [3, 1], [7, 1], [8, 1], [9, 1]], 1/1161216], [[[1, 2], [2, 5], [3, 1], [7, 1], [8, 1], [14, 1]], 1/75264], [[[1, 2], [2, 5], [3, 1], [7, 1], [8, 1], [18, 1]], 1/290304], [[[1, 2], [2, 5], [3, 1], [7, 1], [9, 1], [10, 1]], 1/302400], [[[1, 2], [2, 5], [3, 1], [7, 1], [12, 1], [14, 1]], 1/75264], [[[1, 2], [2, 5], [3, 1], [7, 1], [12, 1], [18, 1]], 1/290304], [[[1, 2], [2, 5], [3, 1], [8, 1], [9, 1], [14, 1]], 5/290304], [[[1, 2], [2, 5], [3, 1], [8, 1], [9, 1], [18, 1]], 11/2239488], [[[1, 2], [2, 5], [3, 1], [8, 1], [10, 1], [12, 2]], 11/33177600], [[[1, 2], [2, 5], [3, 1], [8, 1], [10, 1], [15, 1]], 11/3456000], [[[1, 2], [2, 5], [3, 1], [8, 1], [10, 1], [20, 1]], 11/2304000], [[[1, 2], [2, 5], [3, 1], [8, 1], [10, 1], [24, 1]], 11/2764800], [[[1, 2], [2, 5], [3, 1], [8, 1], [10, 1], [30, 1]], 11/3456000], [[[1, 2], [2, 5], [3, 1], [8, 1], [10, 2], [12, 1]], 1/22118400], [[[1, 2], [2, 5], [3, 1], [8, 1], [12, 1], [15, 1]], 1/1105920], [[[1, 2], [2, 5], [3, 1], [8, 1], [12, 1], [20, 1]], 1/737280], [[[1, 2], [2, 5], [3, 1], [8, 1], [12, 1], [24, 1]], 1/884736], [[[1, 2], [2, 5], [3, 1], [8, 1], [12, 1], [30, 1]], 1/1105920], [[[1, 2], [2, 5], [3, 1], [8, 1], [14, 1], [18, 1]], 5/290304], [[[1, 2], [2, 5], [3, 1], [8, 2], [10, 1], [12, 1]], 17/33177600], [[[1, 2], [2, 5], [3, 1], [9, 1], [10, 1], [14, 1]], 1/100800], [[[1, 2], [2, 5], [3, 1], [9, 1], [10, 1], [18, 1]], 29/6998400], [[[1, 2], [2, 5], [3, 1], [9, 1], [12, 1], [14, 1]], 1/96768], [[[1, 2], [2, 5], [3, 1], [9, 1], [12, 1], [18, 1]], 1/373248], [[[1, 2], [2, 5], [3, 1], [10, 1], [12, 1], [15, 1]], 17/5184000], [[[1, 2], [2, 5], [3, 1], [10, 1], [12, 1], [20, 1]], 17/3456000], [[[1, 2], [2, 5], [3, 1], [10, 1], [12, 1], [24, 1]], 17/4147200], [[[1, 2], [2, 5], [3, 1], [10, 1], [12, 1], [30, 1]], 17/5184000], [[[1, 2], [2, 5], [3, 1], [12, 1], [14, 1], [18, 1]], 1/54432], [[[1, 2], [2, 5], [3, 2], [4, 1], [5, 1], [6, 4]], 511/10749542400], [[[1, 2], [2, 5], [3, 2], [4, 1], [5, 1], [8, 2]], 19/13271040], [[[1, 2], [2, 5], [3, 2], [4, 1], [5, 1], [10, 2]], 1/41472000], [[[1, 2], [2, 5], [3, 2], [4, 1], [5, 1], [12, 2]], 1/19906560], [[[1, 2], [2, 5], [3, 2], [4, 1], [5, 1], [15, 1]], 1/2073600], [[[1, 2], [2, 5], [3, 2], [4, 1], [5, 1], [20, 1]], 1/1382400], [[[1, 2], [2, 5], [3, 2], [4, 1], [5, 1], [24, 1]], 1/1658880], [[[1, 2], [2, 5], [3, 2], [4, 1], [5, 1], [30, 1]], 1/2073600], [[[1, 2], [2, 5], [3, 2], [4, 1], [5, 2], [6, 2]], 3701/31850496000], [[[1, 2], [2, 5], [3, 2], [4, 1], [5, 2], [8, 1]], 79/132710400], [[[1, 2], [2, 5], [3, 2], [4, 1], [5, 2], [12, 1]], 181/5308416000], [[[1, 2], [2, 5], [3, 2], [4, 1], [6, 2], [8, 2]], 21041/10192158720], [[[1, 2], [2, 5], [3, 2], [4, 1], [6, 2], [10, 2]], 44213/31850496000], [[[1, 2], [2, 5], [3, 2], [4, 1], [6, 2], [12, 2]], 425993/45864714240], [[[1, 2], [2, 5], [3, 2], [4, 1], [6, 2], [15, 1]], 3701/1592524800], [[[1, 2], [2, 5], [3, 2], [4, 1], [6, 2], [16, 1]], 1/27648], [[[1, 2], [2, 5], [3, 2], [4, 1], [6, 2], [20, 1]], 3701/1061683200], [[[1, 2], [2, 5], [3, 2], [4, 1], [6, 2], [24, 1]], 51293/1274019840], [[[1, 2], [2, 5], [3, 2], [4, 1], [6, 2], [30, 1]], 3701/1592524800], [[[1, 2], [2, 5], [3, 2], [4, 1], [6, 3], [7, 1]], 1/18579456], [[[1, 2], [2, 5], [3, 2], [4, 1], [6, 3], [9, 1]], 1117/1934917632], [[[1, 2], [2, 5], [3, 2], [4, 1], [6, 3], [14, 1]], 5/4644864], [[[1, 2], [2, 5], [3, 2], [4, 1], [6, 3], [18, 1]], 509/318504960], [[[1, 2], [2, 5], [3, 2], [4, 1], [6, 4], [8, 1]], 2279/11466178560], [[[1, 2], [2, 5], [3, 2], [4, 1], [6, 4], [10, 1]], 115/214990848], [[[1, 2], [2, 5], [3, 2], [4, 1], [6, 4], [12, 1]], 907751813/4127824281600], [[[1, 2], [2, 5], [3, 2], [4, 1], [7, 1], [9, 1]], 1/1741824], [[[1, 2], [2, 5], [3, 2], [4, 1], [8, 1], [10, 2]], 7/132710400], [[[1, 2], [2, 5], [3, 2], [4, 1], [8, 1], [12, 2]], 73/63700992], [[[1, 2], [2, 5], [3, 2], [4, 1], [8, 1], [15, 1]], 7/6635520], [[[1, 2], [2, 5], [3, 2], [4, 1], [8, 1], [20, 1]], 7/4423680], [[[1, 2], [2, 5], [3, 2], [4, 1], [8, 1], [24, 1]], 7/5308416], [[[1, 2], [2, 5], [3, 2], [4, 1], [8, 1], [30, 1]], 7/6635520], [[[1, 2], [2, 5], [3, 2], [4, 1], [8, 2], [12, 1]], 4081/1698693120], [[[1, 2], [2, 5], [3, 2], [4, 1], [9, 1], [14, 1]], 1/217728], [[[1, 2], [2, 5], [3, 2], [4, 1], [9, 1], [18, 1]], 5/3359232], [[[1, 2], [2, 5], [3, 2], [4, 1], [10, 1], [12, 2]], 11/16588800], [[[1, 2], [2, 5], [3, 2], [4, 1], [10, 2], [12, 1]], 2293/5308416000], [[[1, 2], [2, 5], [3, 2], [4, 1], [12, 1], [15, 1]], 181/265420800], [[[1, 2], [2, 5], [3, 2], [4, 1], [12, 1], [20, 1]], 181/176947200], [[[1, 2], [2, 5], [3, 2], [4, 1], [12, 1], [24, 1]], 181/212336640], [[[1, 2], [2, 5], [3, 2], [4, 1], [12, 1], [30, 1]], 181/265420800], [[[1, 2], [2, 5], [3, 2], [4, 2], [5, 1], [6, 3]], 1/10616832], [[[1, 2], [2, 5], [3, 2], [4, 2], [5, 1], [9, 1]], 31/59719680], [[[1, 2], [2, 5], [3, 2], [4, 2], [5, 2], [6, 1]], 239/707788800], [[[1, 2], [2, 5], [3, 2], [4, 2], [6, 1], [8, 2]], 4921/679477248], [[[1, 2], [2, 5], [3, 2], [4, 2], [6, 1], [10, 2]], 461/2123366400], [[[1, 2], [2, 5], [3, 2], [4, 2], [6, 1], [12, 2]], 228863/45864714240], [[[1, 2], [2, 5], [3, 2], [4, 2], [6, 1], [15, 1]], 77/106168320], [[[1, 2], [2, 5], [3, 2], [4, 2], [6, 1], [16, 1]], 1/73728], [[[1, 2], [2, 5], [3, 2], [4, 2], [6, 1], [20, 1]], 37/7864320], [[[1, 2], [2, 5], [3, 2], [4, 2], [6, 1], [24, 1]], 845/84934656], [[[1, 2], [2, 5], [3, 2], [4, 2], [6, 1], [30, 1]], 77/106168320], [[[1, 2], [2, 5], [3, 2], [4, 2], [6, 2], [7, 1]], 167/891813888], [[[1, 2], [2, 5], [3, 2], [4, 2], [6, 2], [9, 1]], 3571/2579890176], [[[1, 2], [2, 5], [3, 2], [4, 2], [6, 2], [14, 1]], 8429/254803968], [[[1, 2], [2, 5], [3, 2], [4, 2], [6, 2], [18, 1]], 20771/2293235712], [[[1, 2], [2, 5], [3, 2], [4, 2], [6, 3], [8, 1]], 511/1019215872], [[[1, 2], [2, 5], [3, 2], [4, 2], [6, 3], [10, 1]], 19729/1274019840], [[[1, 2], [2, 5], [3, 2], [4, 2], [6, 3], [12, 1]], 4872491/412782428160], [[[1, 2], [2, 5], [3, 2], [4, 2], [7, 1], [12, 1]], 1/21233664], [[[1, 2], [2, 5], [3, 2], [4, 2], [8, 1], [9, 1]], 217/95551488], [[[1, 2], [2, 5], [3, 2], [4, 2], [9, 1], [10, 1]], 31/74649600], [[[1, 2], [2, 5], [3, 2], [4, 2], [9, 1], [12, 1]], 371/429981696], [[[1, 2], [2, 5], [3, 2], [4, 2], [12, 1], [14, 1]], 443/297271296], [[[1, 2], [2, 5], [3, 2], [4, 2], [12, 1], [18, 1]], 469/1146617856], [[[1, 2], [2, 5], [3, 2], [4, 3], [5, 1], [6, 2]], 781/2548039680], [[[1, 2], [2, 5], [3, 2], [4, 3], [5, 1], [12, 1]], 59/254803968], [[[1, 2], [2, 5], [3, 2], [4, 3], [6, 1], [7, 1]], 1/37158912], [[[1, 2], [2, 5], [3, 2], [4, 3], [6, 1], [9, 1]], 7/17915904], [[[1, 2], [2, 5], [3, 2], [4, 3], [6, 1], [14, 1]], 5/37158912], [[[1, 2], [2, 5], [3, 2], [4, 3], [6, 1], [18, 1]], 7/143327232], [[[1, 2], [2, 5], [3, 2], [4, 3], [6, 2], [8, 1]], 88249/8153726976], [[[1, 2], [2, 5], [3, 2], [4, 3], [6, 2], [10, 1]], 2189/12740198400], [[[1, 2], [2, 5], [3, 2], [4, 3], [6, 2], [12, 1]], 333653/22932357120], [[[1, 2], [2, 5], [3, 2], [4, 3], [8, 1], [12, 1]], 2731/4076863488], [[[1, 2], [2, 5], [3, 2], [4, 3], [10, 1], [12, 1]], 109/2123366400], [[[1, 2], [2, 5], [3, 2], [4, 4], [5, 1], [6, 1]], 43/2123366400], [[[1, 2], [2, 5], [3, 2], [4, 4], [6, 1], [8, 1]], 18569/15288238080], [[[1, 2], [2, 5], [3, 2], [4, 4], [6, 1], [10, 1]], 959/47775744000], [[[1, 2], [2, 5], [3, 2], [4, 4], [6, 1], [12, 1]], 1669907/458647142400], [[[1, 2], [2, 5], [3, 2], [5, 1], [6, 1], [8, 2]], 1/2949120], [[[1, 2], [2, 5], [3, 2], [5, 1], [6, 1], [10, 2]], 1/9216000], [[[1, 2], [2, 5], [3, 2], [5, 1], [6, 1], [12, 2]], 7/4423680], [[[1, 2], [2, 5], [3, 2], [5, 1], [6, 1], [15, 1]], 1/460800], [[[1, 2], [2, 5], [3, 2], [5, 1], [6, 1], [20, 1]], 1/307200], [[[1, 2], [2, 5], [3, 2], [5, 1], [6, 1], [24, 1]], 1/368640], [[[1, 2], [2, 5], [3, 2], [5, 1], [6, 1], [30, 1]], 1/460800], [[[1, 2], [2, 5], [3, 2], [5, 1], [6, 2], [9, 1]], 1/2099520], [[[1, 2], [2, 5], [3, 2], [5, 1], [6, 2], [14, 1]], 1/860160], [[[1, 2], [2, 5], [3, 2], [5, 1], [6, 2], [18, 1]], 1/663552], [[[1, 2], [2, 5], [3, 2], [5, 1], [6, 3], [8, 1]], 1/44789760], [[[1, 2], [2, 5], [3, 2], [5, 1], [6, 3], [10, 1]], 1/1843200], [[[1, 2], [2, 5], [3, 2], [5, 1], [6, 3], [12, 1]], 19/39813120], [[[1, 2], [2, 5], [3, 2], [5, 1], [8, 1], [9, 1]], 1/2488320], [[[1, 2], [2, 5], [3, 2], [5, 1], [8, 1], [14, 1]], 1/161280], [[[1, 2], [2, 5], [3, 2], [5, 1], [8, 1], [18, 1]], 1/622080], [[[1, 2], [2, 5], [3, 2], [5, 1], [9, 1], [10, 1]], 1/648000], [[[1, 2], [2, 5], [3, 2], [5, 1], [12, 1], [14, 1]], 1/143360], [[[1, 2], [2, 5], [3, 2], [5, 1], [12, 1], [18, 1]], 1/552960], [[[1, 2], [2, 5], [3, 2], [5, 2], [6, 1], [8, 1]], 29/199065600], [[[1, 2], [2, 5], [3, 2], [5, 2], [6, 1], [10, 1]], 779/622080000], [[[1, 2], [2, 5], [3, 2], [5, 2], [6, 1], [12, 1]], 3737/5971968000], [[[1, 2], [2, 5], [3, 2], [6, 1], [7, 1], [9, 1]], 5/1741824], [[[1, 2], [2, 5], [3, 2], [6, 1], [7, 1], [14, 1]], 5/338688], [[[1, 2], [2, 5], [3, 2], [6, 1], [7, 1], [18, 1]], 1/653184], [[[1, 2], [2, 5], [3, 2], [6, 1], [8, 1], [10, 2]], 29/199065600], [[[1, 2], [2, 5], [3, 2], [6, 1], [8, 1], [12, 2]], 203/95551488], [[[1, 2], [2, 5], [3, 2], [6, 1], [8, 1], [15, 1]], 29/9953280], [[[1, 2], [2, 5], [3, 2], [6, 1], [8, 1], [16, 1]], 1/442368], [[[1, 2], [2, 5], [3, 2], [6, 1], [8, 1], [20, 1]], 29/6635520], [[[1, 2], [2, 5], [3, 2], [6, 1], [8, 1], [24, 1]], 29/7962624], [[[1, 2], [2, 5], [3, 2], [6, 1], [8, 1], [30, 1]], 29/9953280], [[[1, 2], [2, 5], [3, 2], [6, 1], [8, 2], [10, 1]], 419/199065600], [[[1, 2], [2, 5], [3, 2], [6, 1], [8, 2], [12, 1]], 2477/1911029760], [[[1, 2], [2, 5], [3, 2], [6, 1], [9, 1], [14, 1]], 11/653184], [[[1, 2], [2, 5], [3, 2], [6, 1], [9, 1], [18, 1]], 31/3359232], [[[1, 2], [2, 5], [3, 2], [6, 1], [10, 1], [12, 2]], 773/298598400], [[[1, 2], [2, 5], [3, 2], [6, 1], [10, 1], [15, 1]], 59/31104000], [[[1, 2], [2, 5], [3, 2], [6, 1], [10, 1], [20, 1]], 59/20736000], [[[1, 2], [2, 5], [3, 2], [6, 1], [10, 1], [24, 1]], 59/24883200], [[[1, 2], [2, 5], [3, 2], [6, 1], [10, 1], [30, 1]], 59/31104000], [[[1, 2], [2, 5], [3, 2], [6, 1], [10, 2], [12, 1]], 6041/5971968000], [[[1, 2], [2, 5], [3, 2], [6, 1], [12, 1], [15, 1]], 857/298598400], [[[1, 2], [2, 5], [3, 2], [6, 1], [12, 1], [20, 1]], 857/199065600], [[[1, 2], [2, 5], [3, 2], [6, 1], [12, 1], [24, 1]], 857/238878720], [[[1, 2], [2, 5], [3, 2], [6, 1], [12, 1], [30, 1]], 857/298598400], [[[1, 2], [2, 5], [3, 2], [6, 1], [14, 1], [18, 1]], 1/186624], [[[1, 2], [2, 5], [3, 2], [6, 2], [7, 1], [8, 1]], 17/37158912], [[[1, 2], [2, 5], [3, 2], [6, 2], [7, 1], [10, 1]], 1/460800], [[[1, 2], [2, 5], [3, 2], [6, 2], [7, 1], [12, 1]], 1/746496], [[[1, 2], [2, 5], [3, 2], [6, 2], [8, 1], [9, 1]], 989/429981696], [[[1, 2], [2, 5], [3, 2], [6, 2], [8, 1], [14, 1]], 17/4644864], [[[1, 2], [2, 5], [3, 2], [6, 2], [8, 1], [18, 1]], 67/23887872], [[[1, 2], [2, 5], [3, 2], [6, 2], [9, 1], [10, 1]], 41/4976640], [[[1, 2], [2, 5], [3, 2], [6, 2], [9, 1], [12, 1]], 3275/644972544], [[[1, 2], [2, 5], [3, 2], [6, 2], [10, 1], [14, 1]], 43/9676800], [[[1, 2], [2, 5], [3, 2], [6, 2], [10, 1], [18, 1]], 47/14929920], [[[1, 2], [2, 5], [3, 2], [6, 2], [12, 1], [14, 1]], 31/5971968], [[[1, 2], [2, 5], [3, 2], [6, 2], [12, 1], [18, 1]], 1907/537477120], [[[1, 2], [2, 5], [3, 2], [6, 3], [8, 1], [10, 1]], 13/7372800], [[[1, 2], [2, 5], [3, 2], [6, 3], [8, 1], [12, 1]], 1139/859963392], [[[1, 2], [2, 5], [3, 2], [6, 3], [10, 1], [12, 1]], 7061/2687385600], [[[1, 2], [2, 5], [3, 2], [7, 1], [8, 1], [12, 1]], 1/6193152], [[[1, 2], [2, 5], [3, 2], [7, 1], [10, 1], [12, 1]], 1/1612800], [[[1, 2], [2, 5], [3, 2], [8, 1], [9, 1], [10, 1]], 11/6220800], [[[1, 2], [2, 5], [3, 2], [8, 1], [9, 1], [12, 1]], 5/7962624], [[[1, 2], [2, 5], [3, 2], [8, 1], [12, 1], [14, 1]], 1/110592], [[[1, 2], [2, 5], [3, 2], [8, 1], [12, 1], [18, 1]], 29/11943936], [[[1, 2], [2, 5], [3, 2], [9, 1], [10, 1], [12, 1]], 17/7464960], [[[1, 2], [2, 5], [3, 2], [10, 1], [12, 1], [14, 1]], 1/537600], [[[1, 2], [2, 5], [3, 2], [10, 1], [12, 1], [18, 1]], 29/37324800], [[[1, 2], [2, 5], [3, 3], [4, 1], [5, 1], [6, 3]], 407/3224862720], [[[1, 2], [2, 5], [3, 3], [4, 1], [5, 1], [9, 1]], 1/3732480], [[[1, 2], [2, 5], [3, 3], [4, 1], [5, 1], [14, 1]], 1/5806080], [[[1, 2], [2, 5], [3, 3], [4, 1], [5, 1], [18, 1]], 1/22394880], [[[1, 2], [2, 5], [3, 3], [4, 1], [5, 2], [6, 1]], 31/119439360], [[[1, 2], [2, 5], [3, 3], [4, 1], [6, 1], [8, 2]], 269/191102976], [[[1, 2], [2, 5], [3, 3], [4, 1], [6, 1], [10, 2]], 59/597196800], [[[1, 2], [2, 5], [3, 3], [4, 1], [6, 1], [12, 2]], 143/95551488], [[[1, 2], [2, 5], [3, 3], [4, 1], [6, 1], [15, 1]], 11/29859840], [[[1, 2], [2, 5], [3, 3], [4, 1], [6, 1], [20, 1]], 11/19906560], [[[1, 2], [2, 5], [3, 3], [4, 1], [6, 1], [24, 1]], 11/23887872], [[[1, 2], [2, 5], [3, 3], [4, 1], [6, 1], [30, 1]], 11/29859840], [[[1, 2], [2, 5], [3, 3], [4, 1], [6, 2], [7, 1]], 17/55738368], [[[1, 2], [2, 5], [3, 3], [4, 1], [6, 2], [9, 1]], 4381/2866544640], [[[1, 2], [2, 5], [3, 3], [4, 1], [6, 2], [14, 1]], 11/6967296], [[[1, 2], [2, 5], [3, 3], [4, 1], [6, 2], [18, 1]], 83/107495424], [[[1, 2], [2, 5], [3, 3], [4, 1], [6, 3], [8, 1]], 18349/15479341056], [[[1, 2], [2, 5], [3, 3], [4, 1], [6, 3], [10, 1]], 709/403107840], [[[1, 2], [2, 5], [3, 3], [4, 1], [6, 3], [12, 1]], 52571/7739670528], [[[1, 2], [2, 5], [3, 3], [4, 1], [7, 1], [8, 1]], 1/18579456], [[[1, 2], [2, 5], [3, 3], [4, 1], [7, 1], [12, 1]], 1/9289728], [[[1, 2], [2, 5], [3, 3], [4, 1], [8, 1], [9, 1]], 5/7962624], [[[1, 2], [2, 5], [3, 3], [4, 1], [8, 1], [14, 1]], 37/55738368], [[[1, 2], [2, 5], [3, 3], [4, 1], [8, 1], [18, 1]], 43/214990848], [[[1, 2], [2, 5], [3, 3], [4, 1], [9, 1], [12, 1]], 221/477757440], [[[1, 2], [2, 5], [3, 3], [4, 1], [10, 1], [14, 1]], 1/5806080], [[[1, 2], [2, 5], [3, 3], [4, 1], [10, 1], [18, 1]], 1/22394880], [[[1, 2], [2, 5], [3, 3], [4, 1], [12, 1], [14, 1]], 1/870912], [[[1, 2], [2, 5], [3, 3], [4, 1], [12, 1], [18, 1]], 19/53747712], [[[1, 2], [2, 5], [3, 3], [4, 2], [5, 1], [6, 2]], 115/382205952], [[[1, 2], [2, 5], [3, 3], [4, 2], [5, 1], [8, 1]], 1/26542080], [[[1, 2], [2, 5], [3, 3], [4, 2], [5, 1], [12, 1]], 31/318504960], [[[1, 2], [2, 5], [3, 3], [4, 2], [6, 1], [7, 1]], 1/83607552], [[[1, 2], [2, 5], [3, 3], [4, 2], [6, 1], [9, 1]], 709/1719926784], [[[1, 2], [2, 5], [3, 3], [4, 2], [6, 1], [14, 1]], 1/15676416], [[[1, 2], [2, 5], [3, 3], [4, 2], [6, 1], [18, 1]], 49/1934917632], [[[1, 2], [2, 5], [3, 3], [4, 2], [6, 2], [8, 1]], 37195/9172942848], [[[1, 2], [2, 5], [3, 3], [4, 2], [6, 2], [10, 1]], 5239/21499084800], [[[1, 2], [2, 5], [3, 3], [4, 2], [6, 2], [12, 1]], 997985/92876046336], [[[1, 2], [2, 5], [3, 3], [4, 2], [8, 1], [10, 1]], 1/26542080], [[[1, 2], [2, 5], [3, 3], [4, 2], [8, 1], [12, 1]], 2273/4586471424], [[[1, 2], [2, 5], [3, 3], [4, 2], [10, 1], [12, 1]], 1109/10749542400], [[[1, 2], [2, 5], [3, 3], [4, 3], [5, 1], [6, 1]], 1/47775744], [[[1, 2], [2, 5], [3, 3], [4, 3], [6, 1], [8, 1]], 61/1146617856], [[[1, 2], [2, 5], [3, 3], [4, 3], [6, 1], [10, 1]], 1/79626240], [[[1, 2], [2, 5], [3, 3], [4, 3], [6, 1], [12, 1]], 583/2293235712], [[[1, 2], [2, 5], [3, 3], [5, 1], [6, 1], [7, 1]], 1/2903040], [[[1, 2], [2, 5], [3, 3], [5, 1], [6, 1], [9, 1]], 11/7464960], [[[1, 2], [2, 5], [3, 3], [5, 1], [6, 1], [14, 1]], 1/483840], [[[1, 2], [2, 5], [3, 3], [5, 1], [6, 1], [18, 1]], 1/1399680], [[[1, 2], [2, 5], [3, 3], [5, 1], [6, 2], [8, 1]], 17/79626240], [[[1, 2], [2, 5], [3, 3], [5, 1], [6, 2], [10, 1]], 121/20736000], [[[1, 2], [2, 5], [3, 3], [5, 1], [6, 2], [12, 1]], 7/11197440], [[[1, 2], [2, 5], [3, 3], [5, 1], [8, 1], [12, 1]], 1/13271040], [[[1, 2], [2, 5], [3, 3], [5, 1], [10, 1], [12, 1]], 1/3456000], [[[1, 2], [2, 5], [3, 3], [6, 1], [7, 1], [8, 1]], 1/2322432], [[[1, 2], [2, 5], [3, 3], [6, 1], [7, 1], [10, 1]], 1/8709120], [[[1, 2], [2, 5], [3, 3], [6, 1], [7, 1], [12, 1]], 19/20901888], [[[1, 2], [2, 5], [3, 3], [6, 1], [8, 1], [9, 1]], 35/17915904], [[[1, 2], [2, 5], [3, 3], [6, 1], [8, 1], [14, 1]], 1/435456], [[[1, 2], [2, 5], [3, 3], [6, 1], [8, 1], [18, 1]], 89/107495424], [[[1, 2], [2, 5], [3, 3], [6, 1], [9, 1], [10, 1]], 1/874800], [[[1, 2], [2, 5], [3, 3], [6, 1], [9, 1], [12, 1]], 1237/537477120], [[[1, 2], [2, 5], [3, 3], [6, 1], [10, 1], [14, 1]], 1/2612736], [[[1, 2], [2, 5], [3, 3], [6, 1], [10, 1], [18, 1]], 97/503884800], [[[1, 2], [2, 5], [3, 3], [6, 1], [12, 1], [14, 1]], 23/4478976], [[[1, 2], [2, 5], [3, 3], [6, 1], [12, 1], [18, 1]], 3497/1934917632], [[[1, 2], [2, 5], [3, 3], [6, 2], [8, 1], [10, 1]], 673/597196800], [[[1, 2], [2, 5], [3, 3], [6, 2], [8, 1], [12, 1]], 715/573308928], [[[1, 2], [2, 5], [3, 3], [6, 2], [10, 1], [12, 1]], 6763/2687385600], [[[1, 2], [2, 5], [3, 3], [8, 1], [10, 1], [12, 1]], 11/33177600], [[[1, 2], [2, 5], [3, 4], [4, 1], [5, 1], [6, 2]], 6487/32248627200], [[[1, 2], [2, 5], [3, 4], [4, 1], [5, 1], [8, 1]], 49/1911029760], [[[1, 2], [2, 5], [3, 4], [4, 1], [5, 1], [10, 1]], 11/14929920000], [[[1, 2], [2, 5], [3, 4], [4, 1], [5, 1], [12, 1]], 1/19906560], [[[1, 2], [2, 5], [3, 4], [4, 1], [6, 1], [7, 1]], 1/1672151040], [[[1, 2], [2, 5], [3, 4], [4, 1], [6, 1], [9, 1]], 49/238878720], [[[1, 2], [2, 5], [3, 4], [4, 1], [6, 1], [14, 1]], 41/418037760], [[[1, 2], [2, 5], [3, 4], [4, 1], [6, 1], [18, 1]], 8261/257989017600], [[[1, 2], [2, 5], [3, 4], [4, 1], [6, 2], [8, 1]], 10763/25798901760], [[[1, 2], [2, 5], [3, 4], [4, 1], [6, 2], [10, 1]], 3373/32248627200], [[[1, 2], [2, 5], [3, 4], [4, 1], [6, 2], [12, 1]], 6668719/12383472844800], [[[1, 2], [2, 5], [3, 4], [4, 1], [8, 1], [10, 1]], 73/23887872000], [[[1, 2], [2, 5], [3, 4], [4, 1], [8, 1], [12, 1]], 203/1433272320], [[[1, 2], [2, 5], [3, 4], [4, 1], [10, 1], [12, 1]], 11/8957952000], [[[1, 2], [2, 5], [3, 4], [4, 2], [5, 1], [6, 1]], 29/4777574400], [[[1, 2], [2, 5], [3, 4], [4, 2], [6, 1], [8, 1]], 8189/275188285440], [[[1, 2], [2, 5], [3, 4], [4, 2], [6, 1], [10, 1]], 371/343985356800], [[[1, 2], [2, 5], [3, 4], [4, 2], [6, 1], [12, 1]], 1610329/12383472844800], [[[1, 2], [2, 5], [3, 4], [5, 1], [6, 1], [8, 1]], 1/4976640], [[[1, 2], [2, 5], [3, 4], [5, 1], [6, 1], [10, 1]], 1/18432000], [[[1, 2], [2, 5], [3, 4], [5, 1], [6, 1], [12, 1]], 179/398131200], [[[1, 2], [2, 5], [3, 4], [6, 1], [8, 1], [10, 1]], 1231/17915904000], [[[1, 2], [2, 5], [3, 4], [6, 1], [8, 1], [12, 1]], 1003/1719926784], [[[1, 2], [2, 5], [3, 4], [6, 1], [10, 1], [12, 1]], 7139/26873856000], [[[1, 2], [2, 5], [3, 5], [4, 1], [5, 1], [6, 1]], 23/3583180800], [[[1, 2], [2, 5], [3, 5], [4, 1], [6, 1], [8, 1]], 97/3439853568], [[[1, 2], [2, 5], [3, 5], [4, 1], [6, 1], [10, 1]], 49/6718464000], [[[1, 2], [2, 5], [3, 5], [4, 1], [6, 1], [12, 1]], 1273/25798901760], [[[1, 2], [2, 5], [4, 1], [5, 1], [6, 2], [8, 2]], 7/39813120], [[[1, 2], [2, 5], [4, 1], [5, 1], [6, 2], [10, 2]], 131/24883200], [[[1, 2], [2, 5], [4, 1], [5, 1], [6, 2], [12, 2]], 133/59719680], [[[1, 2], [2, 5], [4, 1], [5, 1], [6, 2], [15, 1]], 7/6220800], [[[1, 2], [2, 5], [4, 1], [5, 1], [6, 2], [20, 1]], 7/4147200], [[[1, 2], [2, 5], [4, 1], [5, 1], [6, 2], [24, 1]], 7/4976640], [[[1, 2], [2, 5], [4, 1], [5, 1], [6, 2], [30, 1]], 7/6220800], [[[1, 2], [2, 5], [4, 1], [5, 1], [6, 3], [7, 1]], 1/17418240], [[[1, 2], [2, 5], [4, 1], [5, 1], [6, 3], [9, 1]], 1/22394880], [[[1, 2], [2, 5], [4, 1], [5, 1], [6, 3], [14, 1]], 1/3483648], [[[1, 2], [2, 5], [4, 1], [5, 1], [6, 3], [18, 1]], 49/67184640], [[[1, 2], [2, 5], [4, 1], [5, 1], [6, 4], [8, 1]], 13/382205952], [[[1, 2], [2, 5], [4, 1], [5, 1], [6, 4], [10, 1]], 2011/14929920000], [[[1, 2], [2, 5], [4, 1], [5, 1], [6, 4], [12, 1]], 7/35831808], [[[1, 2], [2, 5], [4, 1], [5, 1], [7, 1], [14, 1]], 1/62720], [[[1, 2], [2, 5], [4, 1], [5, 1], [7, 1], [18, 1]], 1/241920], [[[1, 2], [2, 5], [4, 1], [5, 1], [8, 1], [10, 2]], 2117/36864000], [[[1, 2], [2, 5], [4, 1], [5, 1], [8, 1], [12, 2]], 1/3538944], [[[1, 2], [2, 5], [4, 1], [5, 1], [8, 1], [15, 1]], 1/368640], [[[1, 2], [2, 5], [4, 1], [5, 1], [8, 1], [20, 1]], 1/245760], [[[1, 2], [2, 5], [4, 1], [5, 1], [8, 1], [24, 1]], 1/294912], [[[1, 2], [2, 5], [4, 1], [5, 1], [8, 1], [30, 1]], 1/368640], [[[1, 2], [2, 5], [4, 1], [5, 1], [8, 2], [10, 1]], 311/18432000], [[[1, 2], [2, 5], [4, 1], [5, 1], [9, 1], [14, 1]], 1/80640], [[[1, 2], [2, 5], [4, 1], [5, 1], [9, 1], [18, 1]], 1/311040], [[[1, 2], [2, 5], [4, 1], [5, 1], [10, 1], [12, 2]], 11/27648000], [[[1, 2], [2, 5], [4, 1], [5, 1], [10, 1], [15, 1]], 11/2880000], [[[1, 2], [2, 5], [4, 1], [5, 1], [10, 1], [20, 1]], 11/1920000], [[[1, 2], [2, 5], [4, 1], [5, 1], [10, 1], [24, 1]], 11/2304000], [[[1, 2], [2, 5], [4, 1], [5, 1], [10, 1], [30, 1]], 11/2880000], [[[1, 2], [2, 5], [4, 1], [5, 1], [14, 1], [18, 1]], 1/48384], [[[1, 2], [2, 5], [4, 1], [5, 2], [6, 1], [7, 1]], 1/6451200], [[[1, 2], [2, 5], [4, 1], [5, 2], [6, 1], [9, 1]], 1/8294400], [[[1, 2], [2, 5], [4, 1], [5, 2], [6, 1], [14, 1]], 1/1612800], [[[1, 2], [2, 5], [4, 1], [5, 2], [6, 1], [18, 1]], 29/110592000], [[[1, 2], [2, 5], [4, 1], [5, 2], [6, 2], [8, 1]], 61/199065600], [[[1, 2], [2, 5], [4, 1], [5, 2], [6, 2], [10, 1]], 43/124416000], [[[1, 2], [2, 5], [4, 1], [5, 2], [6, 2], [12, 1]], 13309/47775744000], [[[1, 2], [2, 5], [4, 1], [5, 2], [8, 1], [10, 1]], 73/92160000], [[[1, 2], [2, 5], [4, 1], [5, 2], [8, 1], [12, 1]], 1/11059200], [[[1, 2], [2, 5], [4, 1], [5, 2], [10, 1], [12, 1]], 11/34560000], [[[1, 2], [2, 5], [4, 1], [6, 1], [7, 1], [8, 2]], 1/294912], [[[1, 2], [2, 5], [4, 1], [6, 1], [7, 1], [10, 2]], 7/921600], [[[1, 2], [2, 5], [4, 1], [6, 1], [7, 1], [12, 2]], 17/3096576], [[[1, 2], [2, 5], [4, 1], [6, 1], [7, 1], [15, 1]], 1/322560], [[[1, 2], [2, 5], [4, 1], [6, 1], [7, 1], [20, 1]], 1/215040], [[[1, 2], [2, 5], [4, 1], [6, 1], [7, 1], [24, 1]], 1/258048], [[[1, 2], [2, 5], [4, 1], [6, 1], [7, 1], [30, 1]], 1/322560], [[[1, 2], [2, 5], [4, 1], [6, 1], [8, 2], [9, 1]], 7/2654208], [[[1, 2], [2, 5], [4, 1], [6, 1], [8, 2], [14, 1]], 19/516096], [[[1, 2], [2, 5], [4, 1], [6, 1], [8, 2], [18, 1]], 1547/106168320], [[[1, 2], [2, 5], [4, 1], [6, 1], [9, 1], [10, 2]], 49/8294400], [[[1, 2], [2, 5], [4, 1], [6, 1], [9, 1], [12, 2]], 17/3981312], [[[1, 2], [2, 5], [4, 1], [6, 1], [9, 1], [15, 1]], 1/414720], [[[1, 2], [2, 5], [4, 1], [6, 1], [9, 1], [20, 1]], 1/276480], [[[1, 2], [2, 5], [4, 1], [6, 1], [9, 1], [24, 1]], 1/331776], [[[1, 2], [2, 5], [4, 1], [6, 1], [9, 1], [30, 1]], 1/414720], [[[1, 2], [2, 5], [4, 1], [6, 1], [10, 2], [14, 1]], 37/1612800], [[[1, 2], [2, 5], [4, 1], [6, 1], [10, 2], [18, 1]], 3991/331776000], [[[1, 2], [2, 5], [4, 1], [6, 1], [12, 2], [14, 1]], 1/36864], [[[1, 2], [2, 5], [4, 1], [6, 1], [12, 2], [18, 1]], 4741/477757440], [[[1, 2], [2, 5], [4, 1], [6, 1], [14, 1], [15, 1]], 1/80640], [[[1, 2], [2, 5], [4, 1], [6, 1], [14, 1], [20, 1]], 1/53760], [[[1, 2], [2, 5], [4, 1], [6, 1], [14, 1], [24, 1]], 1/64512], [[[1, 2], [2, 5], [4, 1], [6, 1], [14, 1], [30, 1]], 1/80640], [[[1, 2], [2, 5], [4, 1], [6, 1], [15, 1], [18, 1]], 29/5529600], [[[1, 2], [2, 5], [4, 1], [6, 1], [18, 1], [20, 1]], 29/3686400], [[[1, 2], [2, 5], [4, 1], [6, 1], [18, 1], [24, 1]], 29/4423680], [[[1, 2], [2, 5], [4, 1], [6, 1], [18, 1], [30, 1]], 29/5529600], [[[1, 2], [2, 5], [4, 1], [6, 2], [7, 1], [14, 1]], 1/41472], [[[1, 2], [2, 5], [4, 1], [6, 2], [7, 1], [18, 1]], 1/580608], [[[1, 2], [2, 5], [4, 1], [6, 2], [8, 1], [10, 2]], 4597/199065600], [[[1, 2], [2, 5], [4, 1], [6, 2], [8, 1], [12, 2]], 1141/95551488], [[[1, 2], [2, 5], [4, 1], [6, 2], [8, 1], [15, 1]], 61/9953280], [[[1, 2], [2, 5], [4, 1], [6, 2], [8, 1], [16, 1]], 35/663552], [[[1, 2], [2, 5], [4, 1], [6, 2], [8, 1], [20, 1]], 173/6635520], [[[1, 2], [2, 5], [4, 1], [6, 2], [8, 1], [24, 1]], 95/2654208], [[[1, 2], [2, 5], [4, 1], [6, 2], [8, 1], [30, 1]], 61/9953280], [[[1, 2], [2, 5], [4, 1], [6, 2], [8, 2], [10, 1]], 691/39813120], [[[1, 2], [2, 5], [4, 1], [6, 2], [8, 2], [12, 1]], 143449/15288238080], [[[1, 2], [2, 5], [4, 1], [6, 2], [9, 1], [18, 1]], 5/248832], [[[1, 2], [2, 5], [4, 1], [6, 2], [10, 1], [12, 2]], 4643/298598400], [[[1, 2], [2, 5], [4, 1], [6, 2], [10, 1], [15, 1]], 43/6220800], [[[1, 2], [2, 5], [4, 1], [6, 2], [10, 1], [20, 1]], 43/4147200], [[[1, 2], [2, 5], [4, 1], [6, 2], [10, 1], [24, 1]], 43/4976640], [[[1, 2], [2, 5], [4, 1], [6, 2], [10, 1], [30, 1]], 43/6220800], [[[1, 2], [2, 5], [4, 1], [6, 2], [10, 2], [12, 1]], 792637/47775744000], [[[1, 2], [2, 5], [4, 1], [6, 2], [12, 1], [15, 1]], 13309/2388787200], [[[1, 2], [2, 5], [4, 1], [6, 2], [12, 1], [16, 1]], 7/497664], [[[1, 2], [2, 5], [4, 1], [6, 2], [12, 1], [20, 1]], 31229/1592524800], [[[1, 2], [2, 5], [4, 1], [6, 2], [12, 1], [24, 1]], 40189/1911029760], [[[1, 2], [2, 5], [4, 1], [6, 2], [12, 1], [30, 1]], 13309/2388787200], [[[1, 2], [2, 5], [4, 1], [6, 2], [14, 1], [18, 1]], 1/145152], [[[1, 2], [2, 5], [4, 1], [6, 3], [7, 1], [8, 1]], 5/18579456], [[[1, 2], [2, 5], [4, 1], [6, 3], [7, 1], [10, 1]], 1/17418240], [[[1, 2], [2, 5], [4, 1], [6, 3], [7, 1], [12, 1]], 5/11943936], [[[1, 2], [2, 5], [4, 1], [6, 3], [8, 1], [9, 1]], 43/214990848], [[[1, 2], [2, 5], [4, 1], [6, 3], [8, 1], [14, 1]], 29/27869184], [[[1, 2], [2, 5], [4, 1], [6, 3], [8, 1], [18, 1]], 409/107495424], [[[1, 2], [2, 5], [4, 1], [6, 3], [9, 1], [10, 1]], 1/22394880], [[[1, 2], [2, 5], [4, 1], [6, 3], [9, 1], [12, 1]], 35/107495424], [[[1, 2], [2, 5], [4, 1], [6, 3], [10, 1], [14, 1]], 1/3483648], [[[1, 2], [2, 5], [4, 1], [6, 3], [10, 1], [18, 1]], 53/13436928], [[[1, 2], [2, 5], [4, 1], [6, 3], [12, 1], [14, 1]], 37/20901888], [[[1, 2], [2, 5], [4, 1], [6, 3], [12, 1], [18, 1]], 48647/12899450880], [[[1, 2], [2, 5], [4, 1], [6, 4], [8, 1], [10, 1]], 12473/23887872000], [[[1, 2], [2, 5], [4, 1], [6, 4], [8, 1], [12, 1]], 2851/2866544640], [[[1, 2], [2, 5], [4, 1], [6, 4], [10, 1], [12, 1]], 9161/8957952000], [[[1, 2], [2, 5], [4, 1], [7, 1], [8, 1], [9, 1]], 1/258048], [[[1, 2], [2, 5], [4, 1], [7, 1], [8, 1], [14, 1]], 95/602112], [[[1, 2], [2, 5], [4, 1], [7, 1], [8, 1], [18, 1]], 5/258048], [[[1, 2], [2, 5], [4, 1], [7, 1], [10, 1], [14, 1]], 23/235200], [[[1, 2], [2, 5], [4, 1], [7, 1], [10, 1], [18, 1]], 1/241920], [[[1, 2], [2, 5], [4, 1], [7, 1], [12, 1], [14, 1]], 1/37632], [[[1, 2], [2, 5], [4, 1], [7, 1], [12, 1], [18, 1]], 1/145152], [[[1, 2], [2, 5], [4, 1], [8, 1], [9, 1], [14, 1]], 37/774144], [[[1, 2], [2, 5], [4, 1], [8, 1], [9, 1], [18, 1]], 151/2985984], [[[1, 2], [2, 5], [4, 1], [8, 1], [10, 1], [12, 2]], 73/44236800], [[[1, 2], [2, 5], [4, 1], [8, 1], [10, 1], [15, 1]], 73/4608000], [[[1, 2], [2, 5], [4, 1], [8, 1], [10, 1], [16, 1]], 11/61440], [[[1, 2], [2, 5], [4, 1], [8, 1], [10, 1], [20, 1]], 83/1024000], [[[1, 2], [2, 5], [4, 1], [8, 1], [10, 1], [24, 1]], 17/147456], [[[1, 2], [2, 5], [4, 1], [8, 1], [10, 1], [30, 1]], 73/4608000], [[[1, 2], [2, 5], [4, 1], [8, 1], [10, 2], [12, 1]], 1/11059200], [[[1, 2], [2, 5], [4, 1], [8, 1], [12, 1], [15, 1]], 1/552960], [[[1, 2], [2, 5], [4, 1], [8, 1], [12, 1], [16, 1]], 1/73728], [[[1, 2], [2, 5], [4, 1], [8, 1], [12, 1], [20, 1]], 1/73728], [[[1, 2], [2, 5], [4, 1], [8, 1], [12, 1], [24, 1]], 7/442368], [[[1, 2], [2, 5], [4, 1], [8, 1], [12, 1], [30, 1]], 1/552960], [[[1, 2], [2, 5], [4, 1], [8, 1], [14, 1], [18, 1]], 29/387072], [[[1, 2], [2, 5], [4, 1], [8, 2], [10, 1], [12, 1]], 11/11059200], [[[1, 2], [2, 5], [4, 1], [9, 1], [10, 1], [14, 1]], 1/80640], [[[1, 2], [2, 5], [4, 1], [9, 1], [10, 1], [18, 1]], 13/194400], [[[1, 2], [2, 5], [4, 1], [9, 1], [12, 1], [14, 1]], 1/48384], [[[1, 2], [2, 5], [4, 1], [9, 1], [12, 1], [18, 1]], 1/186624], [[[1, 2], [2, 5], [4, 1], [10, 1], [12, 1], [15, 1]], 11/1728000], [[[1, 2], [2, 5], [4, 1], [10, 1], [12, 1], [16, 1]], 11/230400], [[[1, 2], [2, 5], [4, 1], [10, 1], [12, 1], [20, 1]], 11/230400], [[[1, 2], [2, 5], [4, 1], [10, 1], [12, 1], [24, 1]], 77/1382400], [[[1, 2], [2, 5], [4, 1], [10, 1], [12, 1], [30, 1]], 11/1728000], [[[1, 2], [2, 5], [4, 1], [10, 1], [14, 1], [18, 1]], 1/48384], [[[1, 2], [2, 5], [4, 1], [12, 1], [14, 1], [18, 1]], 5/145152], [[[1, 2], [2, 5], [4, 2], [5, 1], [6, 1], [8, 2]], 43/17694720], [[[1, 2], [2, 5], [4, 2], [5, 1], [6, 1], [10, 2]], 127/2211840], [[[1, 2], [2, 5], [4, 2], [5, 1], [6, 1], [12, 2]], 119/26542080], [[[1, 2], [2, 5], [4, 2], [5, 1], [6, 1], [15, 1]], 7/2764800], [[[1, 2], [2, 5], [4, 2], [5, 1], [6, 1], [20, 1]], 7/1843200], [[[1, 2], [2, 5], [4, 2], [5, 1], [6, 1], [24, 1]], 7/2211840], [[[1, 2], [2, 5], [4, 2], [5, 1], [6, 1], [30, 1]], 7/2764800], [[[1, 2], [2, 5], [4, 2], [5, 1], [6, 2], [18, 1]], 7/4976640], [[[1, 2], [2, 5], [4, 2], [5, 1], [6, 3], [8, 1]], 7/39813120], [[[1, 2], [2, 5], [4, 2], [5, 1], [6, 3], [10, 1]], 11/24883200], [[[1, 2], [2, 5], [4, 2], [5, 1], [6, 3], [12, 1]], 49/143327232], [[[1, 2], [2, 5], [4, 2], [5, 1], [7, 1], [8, 1]], 1/286720], [[[1, 2], [2, 5], [4, 2], [5, 1], [8, 1], [9, 1]], 1/368640], [[[1, 2], [2, 5], [4, 2], [5, 1], [8, 1], [14, 1]], 3/71680], [[[1, 2], [2, 5], [4, 2], [5, 1], [8, 1], [18, 1]], 7/552960], [[[1, 2], [2, 5], [4, 2], [5, 1], [10, 1], [14, 1]], 11/89600], [[[1, 2], [2, 5], [4, 2], [5, 1], [10, 1], [18, 1]], 11/345600], [[[1, 2], [2, 5], [4, 2], [5, 1], [12, 1], [14, 1]], 1/46080], [[[1, 2], [2, 5], [4, 2], [5, 1], [12, 1], [18, 1]], 7/1244160], [[[1, 2], [2, 5], [4, 2], [5, 2], [6, 1], [8, 1]], 509/1061683200], [[[1, 2], [2, 5], [4, 2], [5, 2], [6, 1], [10, 1]], 3827/1327104000], [[[1, 2], [2, 5], [4, 2], [5, 2], [6, 1], [12, 1]], 64219/47775744000], [[[1, 2], [2, 5], [4, 2], [6, 1], [7, 1], [9, 1]], 1/1161216], [[[1, 2], [2, 5], [4, 2], [6, 1], [7, 1], [14, 1]], 59/903168], [[[1, 2], [2, 5], [4, 2], [6, 1], [7, 1], [18, 1]], 47/27869184], [[[1, 2], [2, 5], [4, 2], [6, 1], [8, 1], [10, 2]], 4249/212336640], [[[1, 2], [2, 5], [4, 2], [6, 1], [8, 1], [12, 2]], 6143/169869312], [[[1, 2], [2, 5], [4, 2], [6, 1], [8, 1], [15, 1]], 509/53084160], [[[1, 2], [2, 5], [4, 2], [6, 1], [8, 1], [16, 1]], 947/8847360], [[[1, 2], [2, 5], [4, 2], [6, 1], [8, 1], [20, 1]], 1661/35389440], [[[1, 2], [2, 5], [4, 2], [6, 1], [8, 1], [24, 1]], 2813/42467328], [[[1, 2], [2, 5], [4, 2], [6, 1], [8, 1], [30, 1]], 509/53084160], [[[1, 2], [2, 5], [4, 2], [6, 1], [8, 2], [10, 1]], 32231/424673280], [[[1, 2], [2, 5], [4, 2], [6, 1], [8, 2], [12, 1]], 609487/15288238080], [[[1, 2], [2, 5], [4, 2], [6, 1], [9, 1], [14, 1]], 1/497664], [[[1, 2], [2, 5], [4, 2], [6, 1], [9, 1], [18, 1]], 1111/26873856], [[[1, 2], [2, 5], [4, 2], [6, 1], [10, 1], [12, 2]], 9991/353894400], [[[1, 2], [2, 5], [4, 2], [6, 1], [10, 1], [15, 1]], 371/66355200], [[[1, 2], [2, 5], [4, 2], [6, 1], [10, 1], [16, 1]], 1/15360], [[[1, 2], [2, 5], [4, 2], [6, 1], [10, 1], [20, 1]], 107/1769472], [[[1, 2], [2, 5], [4, 2], [6, 1], [10, 1], [24, 1]], 371/53084160], [[[1, 2], [2, 5], [4, 2], [6, 1], [10, 1], [30, 1]], 371/66355200], [[[1, 2], [2, 5], [4, 2], [6, 1], [10, 2], [12, 1]], 644827/47775744000], [[[1, 2], [2, 5], [4, 2], [6, 1], [12, 1], [15, 1]], 12379/2388787200], [[[1, 2], [2, 5], [4, 2], [6, 1], [12, 1], [16, 1]], 1/18432], [[[1, 2], [2, 5], [4, 2], [6, 1], [12, 1], [20, 1]], 88027/1592524800], [[[1, 2], [2, 5], [4, 2], [6, 1], [12, 1], [24, 1]], 67483/1911029760], [[[1, 2], [2, 5], [4, 2], [6, 1], [12, 1], [30, 1]], 12379/2388787200], [[[1, 2], [2, 5], [4, 2], [6, 1], [14, 1], [18, 1]], 299/55738368], [[[1, 2], [2, 5], [4, 2], [6, 2], [7, 1], [8, 1]], 1/1548288], [[[1, 2], [2, 5], [4, 2], [6, 2], [7, 1], [10, 1]], 1/645120], [[[1, 2], [2, 5], [4, 2], [6, 2], [7, 1], [12, 1]], 361/191102976], [[[1, 2], [2, 5], [4, 2], [6, 2], [8, 1], [9, 1]], 1/1990656], [[[1, 2], [2, 5], [4, 2], [6, 2], [8, 1], [14, 1]], 1/774144], [[[1, 2], [2, 5], [4, 2], [6, 2], [8, 1], [18, 1]], 191/31850496], [[[1, 2], [2, 5], [4, 2], [6, 2], [9, 1], [10, 1]], 7/7464960], [[[1, 2], [2, 5], [4, 2], [6, 2], [9, 1], [12, 1]], 1685/1289945088], [[[1, 2], [2, 5], [4, 2], [6, 2], [10, 1], [14, 1]], 1/645120], [[[1, 2], [2, 5], [4, 2], [6, 2], [10, 1], [18, 1]], 161/39813120], [[[1, 2], [2, 5], [4, 2], [6, 2], [12, 1], [14, 1]], 1621/382205952], [[[1, 2], [2, 5], [4, 2], [6, 2], [12, 1], [18, 1]], 82471/17199267840], [[[1, 2], [2, 5], [4, 2], [6, 3], [8, 1], [10, 1]], 31/39813120], [[[1, 2], [2, 5], [4, 2], [6, 3], [8, 1], [12, 1]], 34991/13759414272], [[[1, 2], [2, 5], [4, 2], [6, 3], [10, 1], [12, 1]], 204517/85996339200], [[[1, 2], [2, 5], [4, 2], [7, 1], [8, 1], [10, 1]], 1/286720], [[[1, 2], [2, 5], [4, 2], [7, 1], [8, 1], [12, 1]], 5/774144], [[[1, 2], [2, 5], [4, 2], [7, 1], [10, 1], [12, 1]], 1/403200], [[[1, 2], [2, 5], [4, 2], [8, 1], [9, 1], [10, 1]], 1/368640], [[[1, 2], [2, 5], [4, 2], [8, 1], [9, 1], [12, 1]], 5/995328], [[[1, 2], [2, 5], [4, 2], [8, 1], [10, 1], [14, 1]], 3/71680], [[[1, 2], [2, 5], [4, 2], [8, 1], [10, 1], [18, 1]], 7/552960], [[[1, 2], [2, 5], [4, 2], [8, 1], [12, 1], [14, 1]], 65/387072], [[[1, 2], [2, 5], [4, 2], [8, 1], [12, 1], [18, 1]], 35/746496], [[[1, 2], [2, 5], [4, 2], [9, 1], [10, 1], [12, 1]], 17/9331200], [[[1, 2], [2, 5], [4, 2], [10, 1], [12, 1], [14, 1]], 1/38400], [[[1, 2], [2, 5], [4, 2], [10, 1], [12, 1], [18, 1]], 37/4665600], [[[1, 2], [2, 5], [4, 3], [5, 1], [6, 1], [7, 1]], 1/1290240], [[[1, 2], [2, 5], [4, 3], [5, 1], [6, 1], [9, 1]], 1/1658880], [[[1, 2], [2, 5], [4, 3], [5, 1], [6, 1], [14, 1]], 1/645120], [[[1, 2], [2, 5], [4, 3], [5, 1], [6, 1], [18, 1]], 77/79626240], [[[1, 2], [2, 5], [4, 3], [5, 1], [6, 2], [8, 1]], 1/2211840], [[[1, 2], [2, 5], [4, 3], [5, 1], [6, 2], [10, 1]], 1/1382400], [[[1, 2], [2, 5], [4, 3], [5, 1], [6, 2], [12, 1]], 4213/3822059520], [[[1, 2], [2, 5], [4, 3], [5, 1], [8, 1], [10, 1]], 461/14745600], [[[1, 2], [2, 5], [4, 3], [5, 1], [8, 1], [12, 1]], 23/4423680], [[[1, 2], [2, 5], [4, 3], [5, 1], [10, 1], [12, 1]], 11/6912000], [[[1, 2], [2, 5], [4, 3], [6, 1], [7, 1], [8, 1]], 1/344064], [[[1, 2], [2, 5], [4, 3], [6, 1], [7, 1], [10, 1]], 1/860160], [[[1, 2], [2, 5], [4, 3], [6, 1], [7, 1], [12, 1]], 17/6193152], [[[1, 2], [2, 5], [4, 3], [6, 1], [8, 1], [9, 1]], 17/7962624], [[[1, 2], [2, 5], [4, 3], [6, 1], [8, 1], [14, 1]], 1/172032], [[[1, 2], [2, 5], [4, 3], [6, 1], [8, 1], [18, 1]], 1049/254803968], [[[1, 2], [2, 5], [4, 3], [6, 1], [9, 1], [10, 1]], 1/1105920], [[[1, 2], [2, 5], [4, 3], [6, 1], [9, 1], [12, 1]], 17/7962624], [[[1, 2], [2, 5], [4, 3], [6, 1], [10, 1], [14, 1]], 1/368640], [[[1, 2], [2, 5], [4, 3], [6, 1], [10, 1], [18, 1]], 629/398131200], [[[1, 2], [2, 5], [4, 3], [6, 1], [12, 1], [14, 1]], 53/6193152], [[[1, 2], [2, 5], [4, 3], [6, 1], [12, 1], [18, 1]], 977/238878720], [[[1, 2], [2, 5], [4, 3], [6, 2], [8, 1], [10, 1]], 7/2211840], [[[1, 2], [2, 5], [4, 3], [6, 2], [8, 1], [12, 1]], 112769/12230590464], [[[1, 2], [2, 5], [4, 3], [6, 2], [10, 1], [12, 1]], 97781/19110297600], [[[1, 2], [2, 5], [4, 3], [8, 1], [10, 1], [12, 1]], 5/221184], [[[1, 2], [2, 5], [4, 4], [5, 1], [6, 1], [8, 1]], 11/5898240], [[[1, 2], [2, 5], [4, 4], [5, 1], [6, 1], [10, 1]], 2761/442368000], [[[1, 2], [2, 5], [4, 4], [5, 1], [6, 1], [12, 1]], 2201/1061683200], [[[1, 2], [2, 5], [4, 4], [6, 1], [8, 1], [10, 1]], 44131/5308416000], [[[1, 2], [2, 5], [4, 4], [6, 1], [8, 1], [12, 1]], 3595/169869312], [[[1, 2], [2, 5], [4, 4], [6, 1], [10, 1], [12, 1]], 19693/2654208000], [[[1, 2], [2, 5], [5, 1], [6, 1], [8, 2], [10, 1]], 1/1843200], [[[1, 2], [2, 5], [5, 1], [6, 1], [8, 2], [12, 1]], 1/4423680], [[[1, 2], [2, 5], [5, 1], [6, 1], [10, 1], [12, 2]], 1/2764800], [[[1, 2], [2, 5], [5, 1], [6, 1], [10, 1], [15, 1]], 1/288000], [[[1, 2], [2, 5], [5, 1], [6, 1], [10, 1], [20, 1]], 1/192000], [[[1, 2], [2, 5], [5, 1], [6, 1], [10, 1], [24, 1]], 1/230400], [[[1, 2], [2, 5], [5, 1], [6, 1], [10, 1], [30, 1]], 1/288000], [[[1, 2], [2, 5], [5, 1], [6, 1], [10, 2], [12, 1]], 1/13824000], [[[1, 2], [2, 5], [5, 1], [6, 1], [12, 1], [15, 1]], 1/691200], [[[1, 2], [2, 5], [5, 1], [6, 1], [12, 1], [20, 1]], 1/460800], [[[1, 2], [2, 5], [5, 1], [6, 1], [12, 1], [24, 1]], 1/552960], [[[1, 2], [2, 5], [5, 1], [6, 1], [12, 1], [30, 1]], 1/691200], [[[1, 2], [2, 5], [5, 1], [6, 1], [14, 1], [18, 1]], 1/241920], [[[1, 2], [2, 5], [5, 1], [6, 2], [10, 1], [18, 1]], 1/518400], [[[1, 2], [2, 5], [5, 1], [6, 2], [12, 1], [14, 1]], 1/1290240], [[[1, 2], [2, 5], [5, 1], [6, 2], [12, 1], [18, 1]], 1/995328], [[[1, 2], [2, 5], [5, 1], [6, 3], [10, 1], [12, 1]], 1/2764800], [[[1, 2], [2, 5], [5, 2], [6, 1], [8, 1], [10, 1]], 31/69120000], [[[1, 2], [2, 5], [5, 2], [6, 1], [8, 1], [12, 1]], 1/6635520], [[[1, 2], [2, 5], [5, 2], [6, 1], [10, 1], [12, 1]], 29/103680000], [[[1, 2], [2, 5], [6, 1], [7, 1], [8, 1], [14, 1]], 1/75264], [[[1, 2], [2, 5], [6, 1], [7, 1], [8, 1], [18, 1]], 5/1161216], [[[1, 2], [2, 5], [6, 1], [7, 1], [9, 1], [10, 1]], 1/120960], [[[1, 2], [2, 5], [6, 1], [7, 1], [9, 1], [12, 1]], 1/290304], [[[1, 2], [2, 5], [6, 1], [7, 1], [10, 1], [14, 1]], 3/15680], [[[1, 2], [2, 5], [6, 1], [7, 1], [10, 1], [18, 1]], 1/50400], [[[1, 2], [2, 5], [6, 1], [7, 1], [12, 1], [14, 1]], 5/56448], [[[1, 2], [2, 5], [6, 1], [7, 1], [12, 1], [18, 1]], 1/108864], [[[1, 2], [2, 5], [6, 1], [8, 1], [9, 1], [14, 1]], 1/96768], [[[1, 2], [2, 5], [6, 1], [8, 1], [9, 1], [18, 1]], 5/1492992], [[[1, 2], [2, 5], [6, 1], [8, 1], [10, 1], [12, 2]], 31/33177600], [[[1, 2], [2, 5], [6, 1], [8, 1], [10, 1], [15, 1]], 31/3456000], [[[1, 2], [2, 5], [6, 1], [8, 1], [10, 1], [16, 1]], 1/30720], [[[1, 2], [2, 5], [6, 1], [8, 1], [10, 1], [20, 1]], 31/2304000], [[[1, 2], [2, 5], [6, 1], [8, 1], [10, 1], [24, 1]], 31/2764800], [[[1, 2], [2, 5], [6, 1], [8, 1], [10, 1], [30, 1]], 31/3456000], [[[1, 2], [2, 5], [6, 1], [8, 1], [10, 2], [12, 1]], 1/6635520], [[[1, 2], [2, 5], [6, 1], [8, 1], [12, 1], [15, 1]], 1/331776], [[[1, 2], [2, 5], [6, 1], [8, 1], [12, 1], [16, 1]], 1/73728], [[[1, 2], [2, 5], [6, 1], [8, 1], [12, 1], [20, 1]], 1/221184], [[[1, 2], [2, 5], [6, 1], [8, 1], [12, 1], [24, 1]], 5/1327104], [[[1, 2], [2, 5], [6, 1], [8, 1], [12, 1], [30, 1]], 1/331776], [[[1, 2], [2, 5], [6, 1], [8, 1], [14, 1], [18, 1]], 1/41472], [[[1, 2], [2, 5], [6, 1], [8, 2], [10, 1], [12, 1]], 29/33177600], [[[1, 2], [2, 5], [6, 1], [9, 1], [10, 1], [14, 1]], 1/36288], [[[1, 2], [2, 5], [6, 1], [9, 1], [10, 1], [18, 1]], 367/6998400], [[[1, 2], [2, 5], [6, 1], [9, 1], [12, 1], [14, 1]], 1/54432], [[[1, 2], [2, 5], [6, 1], [9, 1], [12, 1], [18, 1]], 19/839808], [[[1, 2], [2, 5], [6, 1], [10, 1], [12, 1], [15, 1]], 29/5184000], [[[1, 2], [2, 5], [6, 1], [10, 1], [12, 1], [20, 1]], 29/3456000], [[[1, 2], [2, 5], [6, 1], [10, 1], [12, 1], [24, 1]], 29/4147200], [[[1, 2], [2, 5], [6, 1], [10, 1], [12, 1], [30, 1]], 29/5184000], [[[1, 2], [2, 5], [6, 1], [10, 1], [14, 1], [18, 1]], 13/302400], [[[1, 2], [2, 5], [6, 1], [12, 1], [14, 1], [18, 1]], 11/435456], [[[1, 2], [2, 5], [6, 2], [7, 1], [8, 1], [10, 1]], 1/161280], [[[1, 2], [2, 5], [6, 2], [7, 1], [8, 1], [12, 1]], 17/6193152], [[[1, 2], [2, 5], [6, 2], [7, 1], [10, 1], [12, 1]], 1/76800], [[[1, 2], [2, 5], [6, 2], [8, 1], [9, 1], [10, 1]], 1/207360], [[[1, 2], [2, 5], [6, 2], [8, 1], [9, 1], [12, 1]], 17/7962624], [[[1, 2], [2, 5], [6, 2], [8, 1], [10, 1], [14, 1]], 1/53760], [[[1, 2], [2, 5], [6, 2], [8, 1], [10, 1], [18, 1]], 1/76800], [[[1, 2], [2, 5], [6, 2], [8, 1], [12, 1], [14, 1]], 11/774144], [[[1, 2], [2, 5], [6, 2], [8, 1], [12, 1], [18, 1]], 1/147456], [[[1, 2], [2, 5], [6, 2], [9, 1], [10, 1], [12, 1]], 337/37324800], [[[1, 2], [2, 5], [6, 2], [10, 1], [12, 1], [14, 1]], 43/1612800], [[[1, 2], [2, 5], [6, 2], [10, 1], [12, 1], [18, 1]], 13/829440], [[[1, 2], [2, 5], [6, 3], [8, 1], [10, 1], [12, 1]], 77/11059200], [[[1, 2], [2, 7], [3, 1], [4, 1], [5, 1], [6, 4]], 9601/286654464000], [[[1, 2], [2, 7], [3, 1], [4, 1], [5, 1], [8, 2]], 61/353894400], [[[1, 2], [2, 7], [3, 1], [4, 1], [5, 1], [10, 2]], 193/1105920000], [[[1, 2], [2, 7], [3, 1], [4, 1], [5, 1], [12, 2]], 1/530841600], [[[1, 2], [2, 7], [3, 1], [4, 1], [5, 1], [15, 1]], 1/55296000], [[[1, 2], [2, 7], [3, 1], [4, 1], [5, 1], [20, 1]], 1/36864000], [[[1, 2], [2, 7], [3, 1], [4, 1], [5, 1], [24, 1]], 1/44236800], [[[1, 2], [2, 7], [3, 1], [4, 1], [5, 1], [30, 1]], 1/55296000], [[[1, 2], [2, 7], [3, 1], [4, 1], [5, 2], [6, 2]], 51313/429981696000], [[[1, 2], [2, 7], [3, 1], [4, 1], [5, 2], [8, 1]], 31/5308416000], [[[1, 2], [2, 7], [3, 1], [4, 1], [5, 2], [10, 1]], 161/829440000], [[[1, 2], [2, 7], [3, 1], [4, 1], [5, 2], [12, 1]], 1/884736000], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 2], [8, 2]], 172813/137594142720], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 2], [10, 2]], 1618609/429981696000], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 2], [12, 2]], 414391/206391214080], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 2], [15, 1]], 16753/21499084800], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 2], [16, 1]], 37/59719680], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 2], [20, 1]], 16753/14332723200], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 2], [24, 1]], 27409/17199267840], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 2], [30, 1]], 16753/21499084800], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 3], [7, 1]], 25/250822656], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 3], [9, 1]], 199/806215680], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 3], [14, 1]], 71/62705664], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 3], [18, 1]], 30113/38698352640], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 4], [8, 1]], 304031/1375941427200], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 4], [10, 1]], 40619/71663616000], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 4], [12, 1]], 812339/2063912140800], [[[1, 2], [2, 7], [3, 1], [4, 1], [7, 1], [9, 1]], 1/46448640], [[[1, 2], [2, 7], [3, 1], [4, 1], [7, 1], [14, 1]], 1/903168], [[[1, 2], [2, 7], [3, 1], [4, 1], [7, 1], [18, 1]], 1/3483648], [[[1, 2], [2, 7], [3, 1], [4, 1], [8, 1], [10, 2]], 1183/5308416000], [[[1, 2], [2, 7], [3, 1], [4, 1], [8, 1], [12, 2]], 31/2548039680], [[[1, 2], [2, 7], [3, 1], [4, 1], [8, 1], [15, 1]], 31/265420800], [[[1, 2], [2, 7], [3, 1], [4, 1], [8, 1], [20, 1]], 31/176947200], [[[1, 2], [2, 7], [3, 1], [4, 1], [8, 1], [24, 1]], 31/212336640], [[[1, 2], [2, 7], [3, 1], [4, 1], [8, 1], [30, 1]], 31/265420800], [[[1, 2], [2, 7], [3, 1], [4, 1], [8, 2], [10, 1]], 79/53084160], [[[1, 2], [2, 7], [3, 1], [4, 1], [8, 2], [12, 1]], 61/283115520], [[[1, 2], [2, 7], [3, 1], [4, 1], [9, 1], [14, 1]], 31/23224320], [[[1, 2], [2, 7], [3, 1], [4, 1], [9, 1], [18, 1]], 1/2799360], [[[1, 2], [2, 7], [3, 1], [4, 1], [10, 1], [12, 2]], 161/398131200], [[[1, 2], [2, 7], [3, 1], [4, 1], [10, 1], [15, 1]], 17/41472000], [[[1, 2], [2, 7], [3, 1], [4, 1], [10, 1], [20, 1]], 17/27648000], [[[1, 2], [2, 7], [3, 1], [4, 1], [10, 1], [24, 1]], 17/33177600], [[[1, 2], [2, 7], [3, 1], [4, 1], [10, 1], [30, 1]], 17/41472000], [[[1, 2], [2, 7], [3, 1], [4, 1], [10, 2], [12, 1]], 193/884736000], [[[1, 2], [2, 7], [3, 1], [4, 1], [12, 1], [15, 1]], 1/44236800], [[[1, 2], [2, 7], [3, 1], [4, 1], [12, 1], [20, 1]], 1/29491200], [[[1, 2], [2, 7], [3, 1], [4, 1], [12, 1], [24, 1]], 1/35389440], [[[1, 2], [2, 7], [3, 1], [4, 1], [12, 1], [30, 1]], 1/44236800], [[[1, 2], [2, 7], [3, 1], [4, 1], [14, 1], [18, 1]], 11/3483648], [[[1, 2], [2, 7], [3, 1], [4, 2], [5, 1], [6, 3]], 397/3439853568], [[[1, 2], [2, 7], [3, 1], [4, 2], [5, 1], [7, 1]], 1/61931520], [[[1, 2], [2, 7], [3, 1], [4, 2], [5, 1], [9, 1]], 1/29491200], [[[1, 2], [2, 7], [3, 1], [4, 2], [5, 1], [14, 1]], 1/983040], [[[1, 2], [2, 7], [3, 1], [4, 2], [5, 1], [18, 1]], 13/47775744], [[[1, 2], [2, 7], [3, 1], [4, 2], [5, 2], [6, 1]], 5951/429981696000], [[[1, 2], [2, 7], [3, 1], [4, 2], [6, 1], [8, 2]], 478991/137594142720], [[[1, 2], [2, 7], [3, 1], [4, 2], [6, 1], [10, 2]], 228863/429981696000], [[[1, 2], [2, 7], [3, 1], [4, 2], [6, 1], [12, 2]], 90949/206391214080], [[[1, 2], [2, 7], [3, 1], [4, 2], [6, 1], [15, 1]], 5951/21499084800], [[[1, 2], [2, 7], [3, 1], [4, 2], [6, 1], [16, 1]], 1/2949120], [[[1, 2], [2, 7], [3, 1], [4, 2], [6, 1], [20, 1]], 5951/14332723200], [[[1, 2], [2, 7], [3, 1], [4, 2], [6, 1], [24, 1]], 13403/17199267840], [[[1, 2], [2, 7], [3, 1], [4, 2], [6, 1], [30, 1]], 5951/21499084800], [[[1, 2], [2, 7], [3, 1], [4, 2], [6, 2], [7, 1]], 65/297271296], [[[1, 2], [2, 7], [3, 1], [4, 2], [6, 2], [9, 1]], 6227/17199267840], [[[1, 2], [2, 7], [3, 1], [4, 2], [6, 2], [14, 1]], 7073/2675441664], [[[1, 2], [2, 7], [3, 1], [4, 2], [6, 2], [18, 1]], 147449/154793410560], [[[1, 2], [2, 7], [3, 1], [4, 2], [6, 3], [8, 1]], 22483/13759414272], [[[1, 2], [2, 7], [3, 1], [4, 2], [6, 3], [10, 1]], 114551/85996339200], [[[1, 2], [2, 7], [3, 1], [4, 2], [6, 3], [12, 1]], 152045/41278242816], [[[1, 2], [2, 7], [3, 1], [4, 2], [7, 1], [8, 1]], 13/49545216], [[[1, 2], [2, 7], [3, 1], [4, 2], [7, 1], [12, 1]], 1/49545216], [[[1, 2], [2, 7], [3, 1], [4, 2], [8, 1], [9, 1]], 1433/3822059520], [[[1, 2], [2, 7], [3, 1], [4, 2], [8, 1], [14, 1]], 115/24772608], [[[1, 2], [2, 7], [3, 1], [4, 2], [8, 1], [18, 1]], 1/746496], [[[1, 2], [2, 7], [3, 1], [4, 2], [9, 1], [10, 1]], 71/477757440], [[[1, 2], [2, 7], [3, 1], [4, 2], [9, 1], [12, 1]], 7501/180592312320], [[[1, 2], [2, 7], [3, 1], [4, 2], [10, 1], [14, 1]], 31/38707200], [[[1, 2], [2, 7], [3, 1], [4, 2], [10, 1], [18, 1]], 31/149299200], [[[1, 2], [2, 7], [3, 1], [4, 2], [12, 1], [14, 1]], 103/63700992], [[[1, 2], [2, 7], [3, 1], [4, 2], [12, 1], [18, 1]], 739/1719926784], [[[1, 2], [2, 7], [3, 1], [4, 3], [5, 1], [6, 2]], 889/3822059520], [[[1, 2], [2, 7], [3, 1], [4, 3], [5, 1], [8, 1]], 19/70778880], [[[1, 2], [2, 7], [3, 1], [4, 3], [5, 1], [10, 1]], 1/49152000], [[[1, 2], [2, 7], [3, 1], [4, 3], [5, 1], [12, 1]], 43/1061683200], [[[1, 2], [2, 7], [3, 1], [4, 3], [6, 1], [7, 1]], 5/74317824], [[[1, 2], [2, 7], [3, 1], [4, 3], [6, 1], [9, 1]], 5933/51597803520], [[[1, 2], [2, 7], [3, 1], [4, 3], [6, 1], [14, 1]], 29/37158912], [[[1, 2], [2, 7], [3, 1], [4, 3], [6, 1], [18, 1]], 97/382205952], [[[1, 2], [2, 7], [3, 1], [4, 3], [6, 2], [8, 1]], 112871/91729428480], [[[1, 2], [2, 7], [3, 1], [4, 3], [6, 2], [10, 1]], 1337/2123366400], [[[1, 2], [2, 7], [3, 1], [4, 3], [6, 2], [12, 1]], 880669/825564856320], [[[1, 2], [2, 7], [3, 1], [4, 3], [8, 1], [10, 1]], 71/353894400], [[[1, 2], [2, 7], [3, 1], [4, 3], [8, 1], [12, 1]], 2333/5096079360], [[[1, 2], [2, 7], [3, 1], [4, 3], [10, 1], [12, 1]], 25/127401984], [[[1, 2], [2, 7], [3, 1], [4, 4], [5, 1], [6, 1]], 49969/859963392000], [[[1, 2], [2, 7], [3, 1], [4, 4], [6, 1], [8, 1]], 668287/1375941427200], [[[1, 2], [2, 7], [3, 1], [4, 4], [6, 1], [10, 1]], 163/1528823808], [[[1, 2], [2, 7], [3, 1], [4, 4], [6, 1], [12, 1]], 2909747/4127824281600], [[[1, 2], [2, 7], [3, 1], [5, 1], [6, 1], [8, 2]], 19/3583180800], [[[1, 2], [2, 7], [3, 1], [5, 1], [6, 1], [10, 2]], 55747/11197440000], [[[1, 2], [2, 7], [3, 1], [5, 1], [6, 1], [12, 2]], 19/5374771200], [[[1, 2], [2, 7], [3, 1], [5, 1], [6, 1], [15, 1]], 19/559872000], [[[1, 2], [2, 7], [3, 1], [5, 1], [6, 1], [20, 1]], 19/373248000], [[[1, 2], [2, 7], [3, 1], [5, 1], [6, 1], [24, 1]], 19/447897600], [[[1, 2], [2, 7], [3, 1], [5, 1], [6, 1], [30, 1]], 19/559872000], [[[1, 2], [2, 7], [3, 1], [5, 1], [6, 2], [7, 1]], 1/8709120], [[[1, 2], [2, 7], [3, 1], [5, 1], [6, 2], [9, 1]], 1/7464960], [[[1, 2], [2, 7], [3, 1], [5, 1], [6, 2], [14, 1]], 1/967680], [[[1, 2], [2, 7], [3, 1], [5, 1], [6, 2], [18, 1]], 349/1007769600], [[[1, 2], [2, 7], [3, 1], [5, 1], [6, 3], [8, 1]], 5/71663616], [[[1, 2], [2, 7], [3, 1], [5, 1], [6, 3], [10, 1]], 157/74649600], [[[1, 2], [2, 7], [3, 1], [5, 1], [6, 3], [12, 1]], 1339/5374771200], [[[1, 2], [2, 7], [3, 1], [5, 1], [7, 1], [10, 1]], 1/4032000], [[[1, 2], [2, 7], [3, 1], [5, 1], [8, 1], [14, 1]], 1/1290240], [[[1, 2], [2, 7], [3, 1], [5, 1], [8, 1], [18, 1]], 1/4976640], [[[1, 2], [2, 7], [3, 1], [5, 1], [9, 1], [10, 1]], 1/3456000], [[[1, 2], [2, 7], [3, 1], [5, 1], [10, 1], [14, 1]], 13/4032000], [[[1, 2], [2, 7], [3, 1], [5, 1], [10, 1], [18, 1]], 1/1036800], [[[1, 2], [2, 7], [3, 1], [5, 2], [6, 1], [8, 1]], 307/17915904000], [[[1, 2], [2, 7], [3, 1], [5, 2], [6, 1], [10, 1]], 37/497664000], [[[1, 2], [2, 7], [3, 1], [5, 2], [6, 1], [12, 1]], 157/53747712000], [[[1, 2], [2, 7], [3, 1], [6, 1], [7, 1], [9, 1]], 19/470292480], [[[1, 2], [2, 7], [3, 1], [6, 1], [7, 1], [14, 1]], 1/225792], [[[1, 2], [2, 7], [3, 1], [6, 1], [7, 1], [18, 1]], 1/870912], [[[1, 2], [2, 7], [3, 1], [6, 1], [8, 1], [10, 2]], 31411/17915904000], [[[1, 2], [2, 7], [3, 1], [6, 1], [8, 1], [12, 2]], 1927/8599633920], [[[1, 2], [2, 7], [3, 1], [6, 1], [8, 1], [15, 1]], 307/895795200], [[[1, 2], [2, 7], [3, 1], [6, 1], [8, 1], [20, 1]], 307/597196800], [[[1, 2], [2, 7], [3, 1], [6, 1], [8, 1], [24, 1]], 307/716636160], [[[1, 2], [2, 7], [3, 1], [6, 1], [8, 1], [30, 1]], 307/895795200], [[[1, 2], [2, 7], [3, 1], [6, 1], [8, 2], [10, 1]], 977/796262400], [[[1, 2], [2, 7], [3, 1], [6, 1], [8, 2], [12, 1]], 3397/17199267840], [[[1, 2], [2, 7], [3, 1], [6, 1], [9, 1], [14, 1]], 3583/940584960], [[[1, 2], [2, 7], [3, 1], [6, 1], [9, 1], [18, 1]], 2503/2418647040], [[[1, 2], [2, 7], [3, 1], [6, 1], [10, 1], [12, 2]], 301/238878720], [[[1, 2], [2, 7], [3, 1], [6, 1], [10, 1], [15, 1]], 37/24883200], [[[1, 2], [2, 7], [3, 1], [6, 1], [10, 1], [20, 1]], 37/16588800], [[[1, 2], [2, 7], [3, 1], [6, 1], [10, 1], [24, 1]], 329/99532800], [[[1, 2], [2, 7], [3, 1], [6, 1], [10, 1], [30, 1]], 37/24883200], [[[1, 2], [2, 7], [3, 1], [6, 1], [10, 2], [12, 1]], 96061/53747712000], [[[1, 2], [2, 7], [3, 1], [6, 1], [12, 1], [15, 1]], 157/2687385600], [[[1, 2], [2, 7], [3, 1], [6, 1], [12, 1], [20, 1]], 157/1791590400], [[[1, 2], [2, 7], [3, 1], [6, 1], [12, 1], [24, 1]], 157/2149908480], [[[1, 2], [2, 7], [3, 1], [6, 1], [12, 1], [30, 1]], 157/2687385600], [[[1, 2], [2, 7], [3, 1], [6, 1], [14, 1], [18, 1]], 31/2985984], [[[1, 2], [2, 7], [3, 1], [6, 2], [7, 1], [8, 1]], 1/6967296], [[[1, 2], [2, 7], [3, 1], [6, 2], [7, 1], [10, 1]], 41/19353600], [[[1, 2], [2, 7], [3, 1], [6, 2], [7, 1], [12, 1]], 1/995328], [[[1, 2], [2, 7], [3, 1], [6, 2], [8, 1], [9, 1]], 103/403107840], [[[1, 2], [2, 7], [3, 1], [6, 2], [8, 1], [14, 1]], 31/7962624], [[[1, 2], [2, 7], [3, 1], [6, 2], [8, 1], [18, 1]], 4109/3224862720], [[[1, 2], [2, 7], [3, 1], [6, 2], [9, 1], [10, 1]], 533/251942400], [[[1, 2], [2, 7], [3, 1], [6, 2], [9, 1], [12, 1]], 313441/361184624640], [[[1, 2], [2, 7], [3, 1], [6, 2], [10, 1], [14, 1]], 877/58060800], [[[1, 2], [2, 7], [3, 1], [6, 2], [10, 1], [18, 1]], 109/18662400], [[[1, 2], [2, 7], [3, 1], [6, 2], [12, 1], [14, 1]], 2995/334430208], [[[1, 2], [2, 7], [3, 1], [6, 2], [12, 1], [18, 1]], 55633/19349176320], [[[1, 2], [2, 7], [3, 1], [6, 3], [8, 1], [10, 1]], 3337/1791590400], [[[1, 2], [2, 7], [3, 1], [6, 3], [8, 1], [12, 1]], 8047/8599633920], [[[1, 2], [2, 7], [3, 1], [6, 3], [10, 1], [12, 1]], 9653/2149908480], [[[1, 2], [2, 7], [3, 1], [7, 1], [8, 1], [10, 1]], 1/3225600], [[[1, 2], [2, 7], [3, 1], [7, 1], [10, 1], [12, 1]], 1/3225600], [[[1, 2], [2, 7], [3, 1], [8, 1], [9, 1], [10, 1]], 29/49766400], [[[1, 2], [2, 7], [3, 1], [8, 1], [10, 1], [14, 1]], 1/268800], [[[1, 2], [2, 7], [3, 1], [8, 1], [10, 1], [18, 1]], 7/6220800], [[[1, 2], [2, 7], [3, 1], [8, 1], [12, 1], [14, 1]], 1/1032192], [[[1, 2], [2, 7], [3, 1], [8, 1], [12, 1], [18, 1]], 1/3981312], [[[1, 2], [2, 7], [3, 1], [9, 1], [10, 1], [12, 1]], 1/4147200], [[[1, 2], [2, 7], [3, 1], [10, 1], [12, 1], [14, 1]], 37/9676800], [[[1, 2], [2, 7], [3, 1], [10, 1], [12, 1], [18, 1]], 43/37324800], [[[1, 2], [2, 7], [3, 2], [4, 1], [5, 1], [6, 3]], 493/4777574400], [[[1, 2], [2, 7], [3, 2], [4, 1], [5, 1], [9, 1]], 1/99532800], [[[1, 2], [2, 7], [3, 2], [4, 1], [5, 1], [14, 1]], 1/1935360], [[[1, 2], [2, 7], [3, 2], [4, 1], [5, 1], [18, 1]], 1/7464960], [[[1, 2], [2, 7], [3, 2], [4, 1], [5, 2], [6, 1]], 23/1990656000], [[[1, 2], [2, 7], [3, 2], [4, 1], [6, 1], [8, 2]], 533/637009920], [[[1, 2], [2, 7], [3, 2], [4, 1], [6, 1], [10, 2]], 359/1990656000], [[[1, 2], [2, 7], [3, 2], [4, 1], [6, 1], [12, 2]], 1523/8599633920], [[[1, 2], [2, 7], [3, 2], [4, 1], [6, 1], [15, 1]], 23/99532800], [[[1, 2], [2, 7], [3, 2], [4, 1], [6, 1], [20, 1]], 23/66355200], [[[1, 2], [2, 7], [3, 2], [4, 1], [6, 1], [24, 1]], 23/79626240], [[[1, 2], [2, 7], [3, 2], [4, 1], [6, 1], [30, 1]], 23/99532800], [[[1, 2], [2, 7], [3, 2], [4, 1], [6, 2], [7, 1]], 23/212336640], [[[1, 2], [2, 7], [3, 2], [4, 1], [6, 2], [9, 1]], 80053/154793410560], [[[1, 2], [2, 7], [3, 2], [4, 1], [6, 2], [14, 1]], 1931/743178240], [[[1, 2], [2, 7], [3, 2], [4, 1], [6, 2], [18, 1]], 41/47775744], [[[1, 2], [2, 7], [3, 2], [4, 1], [6, 3], [8, 1]], 63991/137594142720], [[[1, 2], [2, 7], [3, 2], [4, 1], [6, 3], [10, 1]], 2807/2149908480], [[[1, 2], [2, 7], [3, 2], [4, 1], [6, 3], [12, 1]], 11081/12899450880], [[[1, 2], [2, 7], [3, 2], [4, 1], [7, 1], [12, 1]], 1/247726080], [[[1, 2], [2, 7], [3, 2], [4, 1], [8, 1], [9, 1]], 31/477757440], [[[1, 2], [2, 7], [3, 2], [4, 1], [8, 1], [14, 1]], 1/884736], [[[1, 2], [2, 7], [3, 2], [4, 1], [8, 1], [18, 1]], 7/23887872], [[[1, 2], [2, 7], [3, 2], [4, 1], [9, 1], [10, 1]], 17/74649600], [[[1, 2], [2, 7], [3, 2], [4, 1], [9, 1], [12, 1]], 1/63700992], [[[1, 2], [2, 7], [3, 2], [4, 1], [12, 1], [14, 1]], 13/17694720], [[[1, 2], [2, 7], [3, 2], [4, 1], [12, 1], [18, 1]], 23/119439360], [[[1, 2], [2, 7], [3, 2], [4, 2], [5, 1], [6, 2]], 1619/8493465600], [[[1, 2], [2, 7], [3, 2], [4, 2], [5, 1], [8, 1]], 13/106168320], [[[1, 2], [2, 7], [3, 2], [4, 2], [5, 1], [12, 1]], 19/1415577600], [[[1, 2], [2, 7], [3, 2], [4, 2], [6, 1], [7, 1]], 17/891813888], [[[1, 2], [2, 7], [3, 2], [4, 2], [6, 1], [9, 1]], 26009/154793410560], [[[1, 2], [2, 7], [3, 2], [4, 2], [6, 1], [14, 1]], 709/891813888], [[[1, 2], [2, 7], [3, 2], [4, 2], [6, 1], [18, 1]], 265/1146617856], [[[1, 2], [2, 7], [3, 2], [4, 2], [6, 2], [8, 1]], 38591/40768634880], [[[1, 2], [2, 7], [3, 2], [4, 2], [6, 2], [10, 1]], 6437/5096079360], [[[1, 2], [2, 7], [3, 2], [4, 2], [6, 2], [12, 1]], 2022943/2889476997120], [[[1, 2], [2, 7], [3, 2], [4, 2], [8, 1], [12, 1]], 3773/20384317440], [[[1, 2], [2, 7], [3, 2], [4, 2], [10, 1], [12, 1]], 611/12740198400], [[[1, 2], [2, 7], [3, 2], [4, 3], [5, 1], [6, 1]], 7/159252480], [[[1, 2], [2, 7], [3, 2], [4, 3], [6, 1], [8, 1]], 511/2038431744], [[[1, 2], [2, 7], [3, 2], [4, 3], [6, 1], [10, 1]], 17/796262400], [[[1, 2], [2, 7], [3, 2], [4, 3], [6, 1], [12, 1]], 46289/275188285440], [[[1, 2], [2, 7], [3, 2], [5, 1], [6, 1], [9, 1]], 19/1007769600], [[[1, 2], [2, 7], [3, 2], [5, 1], [6, 1], [14, 1]], 1/430080], [[[1, 2], [2, 7], [3, 2], [5, 1], [6, 1], [18, 1]], 1/1658880], [[[1, 2], [2, 7], [3, 2], [5, 1], [6, 2], [8, 1]], 1/14929920], [[[1, 2], [2, 7], [3, 2], [5, 1], [6, 2], [10, 1]], 41/36864000], [[[1, 2], [2, 7], [3, 2], [5, 1], [6, 2], [12, 1]], 7/13271040], [[[1, 2], [2, 7], [3, 2], [5, 1], [8, 1], [10, 1]], 1/6912000], [[[1, 2], [2, 7], [3, 2], [5, 1], [10, 1], [12, 1]], 1/6144000], [[[1, 2], [2, 7], [3, 2], [6, 1], [7, 1], [8, 1]], 1/18579456], [[[1, 2], [2, 7], [3, 2], [6, 1], [7, 1], [10, 1]], 1/3870720], [[[1, 2], [2, 7], [3, 2], [6, 1], [7, 1], [12, 1]], 19/2508226560], [[[1, 2], [2, 7], [3, 2], [6, 1], [8, 1], [9, 1]], 749/3224862720], [[[1, 2], [2, 7], [3, 2], [6, 1], [8, 1], [14, 1]], 59/18579456], [[[1, 2], [2, 7], [3, 2], [6, 1], [8, 1], [18, 1]], 61/71663616], [[[1, 2], [2, 7], [3, 2], [6, 1], [9, 1], [10, 1]], 19/18662400], [[[1, 2], [2, 7], [3, 2], [6, 1], [9, 1], [12, 1]], 37/967458816], [[[1, 2], [2, 7], [3, 2], [6, 1], [10, 1], [14, 1]], 11/4838400], [[[1, 2], [2, 7], [3, 2], [6, 1], [10, 1], [18, 1]], 83/111974400], [[[1, 2], [2, 7], [3, 2], [6, 1], [12, 1], [14, 1]], 2209/716636160], [[[1, 2], [2, 7], [3, 2], [6, 1], [12, 1], [18, 1]], 290089/361184624640], [[[1, 2], [2, 7], [3, 2], [6, 2], [8, 1], [10, 1]], 883/530841600], [[[1, 2], [2, 7], [3, 2], [6, 2], [8, 1], [12, 1]], 3221/4299816960], [[[1, 2], [2, 7], [3, 2], [6, 2], [10, 1], [12, 1]], 20041/10749542400], [[[1, 2], [2, 7], [3, 2], [8, 1], [10, 1], [12, 1]], 13/53084160], [[[1, 2], [2, 7], [3, 3], [4, 1], [5, 1], [6, 2]], 13147/85996339200], [[[1, 2], [2, 7], [3, 3], [4, 1], [5, 1], [10, 1]], 1/248832000], [[[1, 2], [2, 7], [3, 3], [4, 1], [5, 1], [12, 1]], 1/530841600], [[[1, 2], [2, 7], [3, 3], [4, 1], [6, 1], [7, 1]], 1/27869184], [[[1, 2], [2, 7], [3, 3], [4, 1], [6, 1], [9, 1]], 7/44789760], [[[1, 2], [2, 7], [3, 3], [4, 1], [6, 1], [14, 1]], 1/2322432], [[[1, 2], [2, 7], [3, 3], [4, 1], [6, 1], [18, 1]], 187/1433272320], [[[1, 2], [2, 7], [3, 3], [4, 1], [6, 2], [8, 1]], 281477/412782428160], [[[1, 2], [2, 7], [3, 3], [4, 1], [6, 2], [10, 1]], 8689/21499084800], [[[1, 2], [2, 7], [3, 3], [4, 1], [6, 2], [12, 1]], 85163/206391214080], [[[1, 2], [2, 7], [3, 3], [4, 1], [8, 1], [10, 1]], 1/37324800], [[[1, 2], [2, 7], [3, 3], [4, 1], [8, 1], [12, 1]], 31/2548039680], [[[1, 2], [2, 7], [3, 3], [4, 1], [10, 1], [12, 1]], 59/1194393600], [[[1, 2], [2, 7], [3, 3], [4, 2], [5, 1], [6, 1]], 13/382205952], [[[1, 2], [2, 7], [3, 3], [4, 2], [6, 1], [8, 1]], 809/4586471424], [[[1, 2], [2, 7], [3, 3], [4, 2], [6, 1], [10, 1]], 2719/85996339200], [[[1, 2], [2, 7], [3, 3], [4, 2], [6, 1], [12, 1]], 468379/5572562780160], [[[1, 2], [2, 7], [3, 3], [5, 1], [6, 1], [8, 1]], 1/39813120], [[[1, 2], [2, 7], [3, 3], [5, 1], [6, 1], [10, 1]], 1/8294400], [[[1, 2], [2, 7], [3, 3], [5, 1], [6, 1], [12, 1]], 19/5374771200], [[[1, 2], [2, 7], [3, 3], [6, 1], [8, 1], [10, 1]], 91/597196800], [[[1, 2], [2, 7], [3, 3], [6, 1], [8, 1], [12, 1]], 607/8599633920], [[[1, 2], [2, 7], [3, 3], [6, 1], [10, 1], [12, 1]], 677/2149908480], [[[1, 2], [2, 7], [3, 4], [4, 1], [5, 1], [6, 1]], 64837/3869835264000], [[[1, 2], [2, 7], [3, 4], [4, 1], [6, 1], [8, 1]], 584471/12383472844800], [[[1, 2], [2, 7], [3, 4], [4, 1], [6, 1], [10, 1]], 7819/967458816000], [[[1, 2], [2, 7], [3, 4], [4, 1], [6, 1], [12, 1]], 13751/290237644800], [[[1, 2], [2, 7], [4, 1], [5, 1], [6, 1], [8, 2]], 37/4777574400], [[[1, 2], [2, 7], [4, 1], [5, 1], [6, 1], [10, 2]], 31141/14929920000], [[[1, 2], [2, 7], [4, 1], [5, 1], [6, 1], [12, 2]], 37/7166361600], [[[1, 2], [2, 7], [4, 1], [5, 1], [6, 1], [15, 1]], 37/746496000], [[[1, 2], [2, 7], [4, 1], [5, 1], [6, 1], [20, 1]], 37/497664000], [[[1, 2], [2, 7], [4, 1], [5, 1], [6, 1], [24, 1]], 37/597196800], [[[1, 2], [2, 7], [4, 1], [5, 1], [6, 1], [30, 1]], 37/746496000], [[[1, 2], [2, 7], [4, 1], [5, 1], [6, 2], [7, 1]], 1/5806080], [[[1, 2], [2, 7], [4, 1], [5, 1], [6, 2], [9, 1]], 1/7464960], [[[1, 2], [2, 7], [4, 1], [5, 1], [6, 2], [14, 1]], 1/725760], [[[1, 2], [2, 7], [4, 1], [5, 1], [6, 2], [18, 1]], 637/1343692800], [[[1, 2], [2, 7], [4, 1], [5, 1], [6, 3], [8, 1]], 53/477757440], [[[1, 2], [2, 7], [4, 1], [5, 1], [6, 3], [10, 1]], 247/373248000], [[[1, 2], [2, 7], [4, 1], [5, 1], [6, 3], [12, 1]], 2437/7166361600], [[[1, 2], [2, 7], [4, 1], [5, 1], [7, 1], [10, 1]], 1/2688000], [[[1, 2], [2, 7], [4, 1], [5, 1], [8, 1], [14, 1]], 1/344064], [[[1, 2], [2, 7], [4, 1], [5, 1], [8, 1], [18, 1]], 1/1327104], [[[1, 2], [2, 7], [4, 1], [5, 1], [9, 1], [10, 1]], 1/3456000], [[[1, 2], [2, 7], [4, 1], [5, 1], [10, 1], [14, 1]], 1/224000], [[[1, 2], [2, 7], [4, 1], [5, 1], [10, 1], [18, 1]], 7/5184000], [[[1, 2], [2, 7], [4, 1], [5, 2], [6, 1], [8, 1]], 1271/47775744000], [[[1, 2], [2, 7], [4, 1], [5, 2], [6, 1], [10, 1]], 259/3732480000], [[[1, 2], [2, 7], [4, 1], [5, 2], [6, 1], [12, 1]], 59/4478976000], [[[1, 2], [2, 7], [4, 1], [6, 1], [7, 1], [14, 1]], 1069/243855360], [[[1, 2], [2, 7], [4, 1], [6, 1], [7, 1], [18, 1]], 41/46448640], [[[1, 2], [2, 7], [4, 1], [6, 1], [8, 1], [10, 2]], 444503/47775744000], [[[1, 2], [2, 7], [4, 1], [6, 1], [8, 1], [12, 2]], 9911/22932357120], [[[1, 2], [2, 7], [4, 1], [6, 1], [8, 1], [15, 1]], 1271/2388787200], [[[1, 2], [2, 7], [4, 1], [6, 1], [8, 1], [16, 1]], 37/15925248], [[[1, 2], [2, 7], [4, 1], [6, 1], [8, 1], [20, 1]], 491/318504960], [[[1, 2], [2, 7], [4, 1], [6, 1], [8, 1], [24, 1]], 1213/637009920], [[[1, 2], [2, 7], [4, 1], [6, 1], [8, 1], [30, 1]], 1271/2388787200], [[[1, 2], [2, 7], [4, 1], [6, 1], [8, 2], [10, 1]], 1121/238878720], [[[1, 2], [2, 7], [4, 1], [6, 1], [8, 2], [12, 1]], 521/358318080], [[[1, 2], [2, 7], [4, 1], [6, 1], [9, 1], [14, 1]], 1/387072], [[[1, 2], [2, 7], [4, 1], [6, 1], [9, 1], [18, 1]], 271/179159040], [[[1, 2], [2, 7], [4, 1], [6, 1], [10, 1], [12, 2]], 3283/1791590400], [[[1, 2], [2, 7], [4, 1], [6, 1], [10, 1], [15, 1]], 259/186624000], [[[1, 2], [2, 7], [4, 1], [6, 1], [10, 1], [20, 1]], 259/124416000], [[[1, 2], [2, 7], [4, 1], [6, 1], [10, 1], [24, 1]], 259/149299200], [[[1, 2], [2, 7], [4, 1], [6, 1], [10, 1], [30, 1]], 259/186624000], [[[1, 2], [2, 7], [4, 1], [6, 1], [10, 2], [12, 1]], 20147/4478976000], [[[1, 2], [2, 7], [4, 1], [6, 1], [12, 1], [15, 1]], 59/223948800], [[[1, 2], [2, 7], [4, 1], [6, 1], [12, 1], [16, 1]], 37/59719680], [[[1, 2], [2, 7], [4, 1], [6, 1], [12, 1], [20, 1]], 133/149299200], [[[1, 2], [2, 7], [4, 1], [6, 1], [12, 1], [24, 1]], 17/17915904], [[[1, 2], [2, 7], [4, 1], [6, 1], [12, 1], [30, 1]], 59/223948800], [[[1, 2], [2, 7], [4, 1], [6, 1], [14, 1], [18, 1]], 151/23224320], [[[1, 2], [2, 7], [4, 1], [6, 2], [7, 1], [8, 1]], 1/1032192], [[[1, 2], [2, 7], [4, 1], [6, 2], [7, 1], [10, 1]], 1/580608], [[[1, 2], [2, 7], [4, 1], [6, 2], [7, 1], [12, 1]], 2089/2229534720], [[[1, 2], [2, 7], [4, 1], [6, 2], [8, 1], [9, 1]], 13/17915904], [[[1, 2], [2, 7], [4, 1], [6, 2], [8, 1], [14, 1]], 139/18579456], [[[1, 2], [2, 7], [4, 1], [6, 2], [8, 1], [18, 1]], 11651/4299816960], [[[1, 2], [2, 7], [4, 1], [6, 2], [9, 1], [10, 1]], 1/746496], [[[1, 2], [2, 7], [4, 1], [6, 2], [9, 1], [12, 1]], 2089/2866544640], [[[1, 2], [2, 7], [4, 1], [6, 2], [10, 1], [14, 1]], 53/5806080], [[[1, 2], [2, 7], [4, 1], [6, 2], [10, 1], [18, 1]], 677/167961600], [[[1, 2], [2, 7], [4, 1], [6, 2], [12, 1], [14, 1]], 7699/1114767360], [[[1, 2], [2, 7], [4, 1], [6, 2], [12, 1], [18, 1]], 7813/3224862720], [[[1, 2], [2, 7], [4, 1], [6, 3], [8, 1], [10, 1]], 8789/2388787200], [[[1, 2], [2, 7], [4, 1], [6, 3], [8, 1], [12, 1]], 1733/849346560], [[[1, 2], [2, 7], [4, 1], [6, 3], [10, 1], [12, 1]], 49/13271040], [[[1, 2], [2, 7], [4, 1], [7, 1], [8, 1], [10, 1]], 11/4300800], [[[1, 2], [2, 7], [4, 1], [7, 1], [10, 1], [12, 1]], 1/1612800], [[[1, 2], [2, 7], [4, 1], [8, 1], [9, 1], [10, 1]], 1/518400], [[[1, 2], [2, 7], [4, 1], [8, 1], [10, 1], [14, 1]], 167/8601600], [[[1, 2], [2, 7], [4, 1], [8, 1], [10, 1], [18, 1]], 209/33177600], [[[1, 2], [2, 7], [4, 1], [8, 1], [12, 1], [14, 1]], 1/516096], [[[1, 2], [2, 7], [4, 1], [8, 1], [12, 1], [18, 1]], 1/1990656], [[[1, 2], [2, 7], [4, 1], [9, 1], [10, 1], [12, 1]], 1/2073600], [[[1, 2], [2, 7], [4, 1], [10, 1], [12, 1], [14, 1]], 1/134400], [[[1, 2], [2, 7], [4, 1], [10, 1], [12, 1], [18, 1]], 7/3110400], [[[1, 2], [2, 7], [4, 2], [5, 1], [6, 1], [14, 1]], 1/368640], [[[1, 2], [2, 7], [4, 2], [5, 1], [6, 1], [18, 1]], 577/796262400], [[[1, 2], [2, 7], [4, 2], [5, 1], [6, 2], [8, 1]], 17/26542080], [[[1, 2], [2, 7], [4, 2], [5, 1], [6, 2], [10, 1]], 43/16588800], [[[1, 2], [2, 7], [4, 2], [5, 1], [6, 2], [12, 1]], 29273/38220595200], [[[1, 2], [2, 7], [4, 2], [5, 1], [8, 1], [10, 1]], 13/6144000], [[[1, 2], [2, 7], [4, 2], [5, 1], [10, 1], [12, 1]], 7/13824000], [[[1, 2], [2, 7], [4, 2], [6, 1], [7, 1], [8, 1]], 41/49545216], [[[1, 2], [2, 7], [4, 2], [6, 1], [7, 1], [10, 1]], 19/34406400], [[[1, 2], [2, 7], [4, 2], [6, 1], [7, 1], [12, 1]], 2903/20065812480], [[[1, 2], [2, 7], [4, 2], [6, 1], [8, 1], [9, 1]], 41/63700992], [[[1, 2], [2, 7], [4, 2], [6, 1], [8, 1], [14, 1]], 275/24772608], [[[1, 2], [2, 7], [4, 2], [6, 1], [8, 1], [18, 1]], 1477/424673280], [[[1, 2], [2, 7], [4, 2], [6, 1], [9, 1], [10, 1]], 487/1194393600], [[[1, 2], [2, 7], [4, 2], [6, 1], [9, 1], [12, 1]], 8407/77396705280], [[[1, 2], [2, 7], [4, 2], [6, 1], [10, 1], [14, 1]], 671/103219200], [[[1, 2], [2, 7], [4, 2], [6, 1], [10, 1], [18, 1]], 557/265420800], [[[1, 2], [2, 7], [4, 2], [6, 1], [12, 1], [14, 1]], 16309/2866544640], [[[1, 2], [2, 7], [4, 2], [6, 1], [12, 1], [18, 1]], 283889/180592312320], [[[1, 2], [2, 7], [4, 2], [6, 2], [8, 1], [10, 1]], 1589/265420800], [[[1, 2], [2, 7], [4, 2], [6, 2], [8, 1], [12, 1]], 2582623/550376570880], [[[1, 2], [2, 7], [4, 2], [6, 2], [10, 1], [12, 1]], 1324553/343985356800], [[[1, 2], [2, 7], [4, 2], [8, 1], [10, 1], [12, 1]], 7/1327104], [[[1, 2], [2, 7], [4, 3], [5, 1], [6, 1], [8, 1]], 47/70778880], [[[1, 2], [2, 7], [4, 3], [5, 1], [6, 1], [10, 1]], 79/221184000], [[[1, 2], [2, 7], [4, 3], [5, 1], [6, 1], [12, 1]], 43/447897600], [[[1, 2], [2, 7], [4, 3], [6, 1], [8, 1], [10, 1]], 901/353894400], [[[1, 2], [2, 7], [4, 3], [6, 1], [8, 1], [12, 1]], 87337/45864714240], [[[1, 2], [2, 7], [4, 3], [6, 1], [10, 1], [12, 1]], 583/447897600], [[[1, 2], [2, 7], [5, 1], [6, 1], [10, 1], [14, 1]], 1/268800], [[[1, 2], [2, 7], [5, 1], [6, 1], [10, 1], [18, 1]], 11/10368000], [[[1, 2], [2, 7], [5, 1], [6, 1], [12, 1], [14, 1]], 1/645120], [[[1, 2], [2, 7], [5, 1], [6, 1], [12, 1], [18, 1]], 1/2488320], [[[1, 2], [2, 7], [5, 1], [6, 2], [10, 1], [12, 1]], 41/55296000], [[[1, 2], [2, 7], [6, 1], [7, 1], [8, 1], [10, 1]], 1/921600], [[[1, 2], [2, 7], [6, 1], [7, 1], [8, 1], [12, 1]], 1/3096576], [[[1, 2], [2, 7], [6, 1], [7, 1], [10, 1], [12, 1]], 1/645120], [[[1, 2], [2, 7], [6, 1], [8, 1], [9, 1], [10, 1]], 7/8294400], [[[1, 2], [2, 7], [6, 1], [8, 1], [9, 1], [12, 1]], 1/3981312], [[[1, 2], [2, 7], [6, 1], [8, 1], [10, 1], [14, 1]], 23/2150400], [[[1, 2], [2, 7], [6, 1], [8, 1], [10, 1], [18, 1]], 61/16588800], [[[1, 2], [2, 7], [6, 1], [8, 1], [12, 1], [14, 1]], 11/3096576], [[[1, 2], [2, 7], [6, 1], [8, 1], [12, 1], [18, 1]], 13/11943936], [[[1, 2], [2, 7], [6, 1], [9, 1], [10, 1], [12, 1]], 43/37324800], [[[1, 2], [2, 7], [6, 1], [10, 1], [12, 1], [14, 1]], 1/134400], [[[1, 2], [2, 7], [6, 1], [10, 1], [12, 1], [18, 1]], 1/373248], [[[1, 2], [2, 7], [6, 2], [8, 1], [10, 1], [12, 1]], 227/88473600], [[[1, 2], [2, 9], [3, 1], [4, 1], [5, 1], [6, 3]], 241/4777574400], [[[1, 2], [2, 9], [3, 1], [4, 1], [5, 1], [9, 1]], 121/3009871872000], [[[1, 2], [2, 9], [3, 1], [4, 1], [5, 1], [14, 1]], 1/51609600], [[[1, 2], [2, 9], [3, 1], [4, 1], [5, 1], [18, 1]], 1/199065600], [[[1, 2], [2, 9], [3, 1], [4, 1], [5, 2], [6, 1]], 75161/60197437440000], [[[1, 2], [2, 9], [3, 1], [4, 1], [6, 1], [8, 2]], 1632521/19263179980800], [[[1, 2], [2, 9], [3, 1], [4, 1], [6, 1], [10, 2]], 20501273/60197437440000], [[[1, 2], [2, 9], [3, 1], [4, 1], [6, 1], [12, 2]], 215597/28894769971200], [[[1, 2], [2, 9], [3, 1], [4, 1], [6, 1], [15, 1]], 34841/3009871872000], [[[1, 2], [2, 9], [3, 1], [4, 1], [6, 1], [16, 1]], 121/133772083200], [[[1, 2], [2, 9], [3, 1], [4, 1], [6, 1], [20, 1]], 34841/2006581248000], [[[1, 2], [2, 9], [3, 1], [4, 1], [6, 1], [24, 1]], 37019/2407897497600], [[[1, 2], [2, 9], [3, 1], [4, 1], [6, 1], [30, 1]], 34841/3009871872000], [[[1, 2], [2, 9], [3, 1], [4, 1], [6, 2], [7, 1]], 1/78382080], [[[1, 2], [2, 9], [3, 1], [4, 1], [6, 2], [9, 1]], 287/12899450880], [[[1, 2], [2, 9], [3, 1], [4, 1], [6, 2], [14, 1]], 17009/20065812480], [[[1, 2], [2, 9], [3, 1], [4, 1], [6, 2], [18, 1]], 420437/1805923123200], [[[1, 2], [2, 9], [3, 1], [4, 1], [6, 3], [8, 1]], 3545/13759414272], [[[1, 2], [2, 9], [3, 1], [4, 1], [6, 3], [10, 1]], 20491/42998169600], [[[1, 2], [2, 9], [3, 1], [4, 1], [6, 3], [12, 1]], 2389187/9631589990400], [[[1, 2], [2, 9], [3, 1], [4, 1], [7, 1], [10, 1]], 1/38707200], [[[1, 2], [2, 9], [3, 1], [4, 1], [8, 1], [9, 1]], 20231/9631589990400], [[[1, 2], [2, 9], [3, 1], [4, 1], [8, 1], [14, 1]], 31/247726080], [[[1, 2], [2, 9], [3, 1], [4, 1], [8, 1], [18, 1]], 31/955514880], [[[1, 2], [2, 9], [3, 1], [4, 1], [9, 1], [10, 1]], 107473/3009871872000], [[[1, 2], [2, 9], [3, 1], [4, 1], [9, 1], [12, 1]], 121/1805923123200], [[[1, 2], [2, 9], [3, 1], [4, 1], [10, 1], [14, 1]], 1/2150400], [[[1, 2], [2, 9], [3, 1], [4, 1], [10, 1], [18, 1]], 1/7464960], [[[1, 2], [2, 9], [3, 1], [4, 1], [12, 1], [14, 1]], 1/41287680], [[[1, 2], [2, 9], [3, 1], [4, 1], [12, 1], [18, 1]], 1/159252480], [[[1, 2], [2, 9], [3, 1], [4, 2], [5, 1], [6, 2]], 61/4299816960], [[[1, 2], [2, 9], [3, 1], [4, 2], [5, 1], [8, 1]], 23/4246732800], [[[1, 2], [2, 9], [3, 1], [4, 2], [5, 1], [10, 1]], 1/36864000], [[[1, 2], [2, 9], [3, 1], [4, 2], [5, 1], [12, 1]], 61/3009871872000], [[[1, 2], [2, 9], [3, 1], [4, 2], [6, 1], [7, 1]], 1/148635648], [[[1, 2], [2, 9], [3, 1], [4, 2], [6, 1], [9, 1]], 7177/722369249280], [[[1, 2], [2, 9], [3, 1], [4, 2], [6, 1], [14, 1]], 3043/10032906240], [[[1, 2], [2, 9], [3, 1], [4, 2], [6, 1], [18, 1]], 3607871/43342154956800], [[[1, 2], [2, 9], [3, 1], [4, 2], [6, 2], [8, 1]], 26977/110075314176], [[[1, 2], [2, 9], [3, 1], [4, 2], [6, 2], [10, 1]], 44387/171992678400], [[[1, 2], [2, 9], [3, 1], [4, 2], [6, 2], [12, 1]], 15554233/138694895861760], [[[1, 2], [2, 9], [3, 1], [4, 2], [8, 1], [10, 1]], 347/2123366400], [[[1, 2], [2, 9], [3, 1], [4, 2], [8, 1], [12, 1]], 65447/9631589990400], [[[1, 2], [2, 9], [3, 1], [4, 2], [10, 1], [12, 1]], 401/9555148800], [[[1, 2], [2, 9], [3, 1], [4, 3], [5, 1], [6, 1]], 461/57330892800], [[[1, 2], [2, 9], [3, 1], [4, 3], [6, 1], [8, 1]], 288047/3210529996800], [[[1, 2], [2, 9], [3, 1], [4, 3], [6, 1], [10, 1]], 7/132710400], [[[1, 2], [2, 9], [3, 1], [4, 3], [6, 1], [12, 1]], 351553/14447384985600], [[[1, 2], [2, 9], [3, 1], [5, 1], [6, 1], [7, 1]], 1/1045094400], [[[1, 2], [2, 9], [3, 1], [5, 1], [6, 1], [9, 1]], 1/895795200], [[[1, 2], [2, 9], [3, 1], [5, 1], [6, 1], [14, 1]], 13/348364800], [[[1, 2], [2, 9], [3, 1], [5, 1], [6, 1], [18, 1]], 23021/2257403904000], [[[1, 2], [2, 9], [3, 1], [5, 1], [6, 2], [8, 1]], 1/111974400], [[[1, 2], [2, 9], [3, 1], [5, 1], [6, 2], [10, 1]], 59/746496000], [[[1, 2], [2, 9], [3, 1], [5, 1], [6, 2], [12, 1]], 91901/12039487488000], [[[1, 2], [2, 9], [3, 1], [5, 1], [8, 1], [10, 1]], 1/55296000], [[[1, 2], [2, 9], [3, 1], [6, 1], [7, 1], [8, 1]], 1/836075520], [[[1, 2], [2, 9], [3, 1], [6, 1], [7, 1], [10, 1]], 1/9676800], [[[1, 2], [2, 9], [3, 1], [6, 1], [7, 1], [12, 1]], 1/836075520], [[[1, 2], [2, 9], [3, 1], [6, 1], [8, 1], [9, 1]], 15521/3611846246400], [[[1, 2], [2, 9], [3, 1], [6, 1], [8, 1], [14, 1]], 11/29859840], [[[1, 2], [2, 9], [3, 1], [6, 1], [8, 1], [18, 1]], 347321/3611846246400], [[[1, 2], [2, 9], [3, 1], [6, 1], [9, 1], [10, 1]], 444293/4514807808000], [[[1, 2], [2, 9], [3, 1], [6, 1], [9, 1], [12, 1]], 683/515978035200], [[[1, 2], [2, 9], [3, 1], [6, 1], [10, 1], [14, 1]], 197/116121600], [[[1, 2], [2, 9], [3, 1], [6, 1], [10, 1], [18, 1]], 443/895795200], [[[1, 2], [2, 9], [3, 1], [6, 1], [12, 1], [14, 1]], 1/15676416], [[[1, 2], [2, 9], [3, 1], [6, 1], [12, 1], [18, 1]], 6653/386983526400], [[[1, 2], [2, 9], [3, 1], [6, 2], [8, 1], [10, 1]], 2099/7166361600], [[[1, 2], [2, 9], [3, 1], [6, 2], [8, 1], [12, 1]], 1603961/19263179980800], [[[1, 2], [2, 9], [3, 1], [6, 2], [10, 1], [12, 1]], 19337/42998169600], [[[1, 2], [2, 9], [3, 1], [8, 1], [10, 1], [12, 1]], 1/44236800], [[[1, 2], [2, 9], [3, 2], [4, 1], [5, 1], [6, 2]], 752761/96315899904000], [[[1, 2], [2, 9], [3, 2], [4, 1], [5, 1], [10, 1]], 1/82944000], [[[1, 2], [2, 9], [3, 2], [4, 1], [5, 1], [12, 1]], 121/16052649984000], [[[1, 2], [2, 9], [3, 2], [4, 1], [6, 1], [7, 1]], 1/743178240], [[[1, 2], [2, 9], [3, 2], [4, 1], [6, 1], [9, 1]], 40511/5417769369600], [[[1, 2], [2, 9], [3, 2], [4, 1], [6, 1], [14, 1]], 37/148635648], [[[1, 2], [2, 9], [3, 2], [4, 1], [6, 1], [18, 1]], 187/2866544640], [[[1, 2], [2, 9], [3, 2], [4, 1], [6, 2], [8, 1]], 13094317/102736959897600], [[[1, 2], [2, 9], [3, 2], [4, 1], [6, 2], [10, 1]], 19398353/96315899904000], [[[1, 2], [2, 9], [3, 2], [4, 1], [6, 2], [12, 1]], 3579113/57789539942400], [[[1, 2], [2, 9], [3, 2], [4, 1], [8, 1], [10, 1]], 7/265420800], [[[1, 2], [2, 9], [3, 2], [4, 1], [8, 1], [12, 1]], 20231/51368479948800], [[[1, 2], [2, 9], [3, 2], [4, 1], [10, 1], [12, 1]], 288913/16052649984000], [[[1, 2], [2, 9], [3, 2], [4, 2], [5, 1], [6, 1]], 19/4246732800], [[[1, 2], [2, 9], [3, 2], [4, 2], [6, 1], [8, 1]], 1921/30576476160], [[[1, 2], [2, 9], [3, 2], [4, 2], [6, 1], [10, 1]], 361/9555148800], [[[1, 2], [2, 9], [3, 2], [4, 2], [6, 1], [12, 1]], 715997/57789539942400], [[[1, 2], [2, 9], [3, 2], [5, 1], [6, 1], [8, 1]], 1/1791590400], [[[1, 2], [2, 9], [3, 2], [5, 1], [6, 1], [10, 1]], 1/18432000], [[[1, 2], [2, 9], [3, 2], [5, 1], [6, 1], [12, 1]], 1/1592524800], [[[1, 2], [2, 9], [3, 2], [6, 1], [8, 1], [10, 1]], 17/199065600], [[[1, 2], [2, 9], [3, 2], [6, 1], [8, 1], [12, 1]], 25601/19263179980800], [[[1, 2], [2, 9], [3, 2], [6, 1], [10, 1], [12, 1]], 1774853/24078974976000], [[[1, 2], [2, 9], [3, 3], [4, 1], [5, 1], [6, 1]], 83/128994508800], [[[1, 2], [2, 9], [3, 3], [4, 1], [6, 1], [8, 1]], 2653/619173642240], [[[1, 2], [2, 9], [3, 3], [4, 1], [6, 1], [10, 1]], 2297/128994508800], [[[1, 2], [2, 9], [3, 3], [4, 1], [6, 1], [12, 1]], 182363/86684309913600], [[[1, 2], [2, 9], [4, 1], [5, 1], [6, 1], [7, 1]], 1/696729600], [[[1, 2], [2, 9], [4, 1], [5, 1], [6, 1], [9, 1]], 1/895795200], [[[1, 2], [2, 9], [4, 1], [5, 1], [6, 1], [14, 1]], 19/348364800], [[[1, 2], [2, 9], [4, 1], [5, 1], [6, 1], [18, 1]], 44921/3009871872000], [[[1, 2], [2, 9], [4, 1], [5, 1], [6, 2], [8, 1]], 77/2388787200], [[[1, 2], [2, 9], [4, 1], [5, 1], [6, 2], [10, 1]], 7/74649600], [[[1, 2], [2, 9], [4, 1], [5, 1], [6, 2], [12, 1]], 179321/16052649984000], [[[1, 2], [2, 9], [4, 1], [5, 1], [8, 1], [10, 1]], 7681/111476736000], [[[1, 2], [2, 9], [4, 1], [6, 1], [7, 1], [8, 1]], 1/46448640], [[[1, 2], [2, 9], [4, 1], [6, 1], [7, 1], [10, 1]], 137/1393459200], [[[1, 2], [2, 9], [4, 1], [6, 1], [7, 1], [12, 1]], 1/95551488], [[[1, 2], [2, 9], [4, 1], [6, 1], [8, 1], [9, 1]], 71/4299816960], [[[1, 2], [2, 9], [4, 1], [6, 1], [8, 1], [14, 1]], 659/1114767360], [[[1, 2], [2, 9], [4, 1], [6, 1], [8, 1], [18, 1]], 1601671/9631589990400], [[[1, 2], [2, 9], [4, 1], [6, 1], [9, 1], [10, 1]], 137/1791590400], [[[1, 2], [2, 9], [4, 1], [6, 1], [9, 1], [12, 1]], 7/859963392], [[[1, 2], [2, 9], [4, 1], [6, 1], [10, 1], [14, 1]], 2209/1393459200], [[[1, 2], [2, 9], [4, 1], [6, 1], [10, 1], [18, 1]], 1437473/3009871872000], [[[1, 2], [2, 9], [4, 1], [6, 1], [12, 1], [14, 1]], 979/3344302080], [[[1, 2], [2, 9], [4, 1], [6, 1], [12, 1], [18, 1]], 146981/1805923123200], [[[1, 2], [2, 9], [4, 1], [6, 2], [8, 1], [10, 1]], 403/597196800], [[[1, 2], [2, 9], [4, 1], [6, 2], [8, 1], [12, 1]], 7492871/51368479948800], [[[1, 2], [2, 9], [4, 1], [6, 2], [10, 1], [12, 1]], 8117713/16052649984000], [[[1, 2], [2, 9], [4, 1], [8, 1], [10, 1], [12, 1]], 1/22118400], [[[1, 2], [2, 9], [4, 2], [5, 1], [6, 1], [8, 1]], 47/3185049600], [[[1, 2], [2, 9], [4, 2], [5, 1], [6, 1], [10, 1]], 149/1592524800], [[[1, 2], [2, 9], [4, 2], [5, 1], [6, 1], [12, 1]], 571/57330892800], [[[1, 2], [2, 9], [4, 2], [6, 1], [8, 1], [10, 1]], 773/1274019840], [[[1, 2], [2, 9], [4, 2], [6, 1], [8, 1], [12, 1]], 256033/2407897497600], [[[1, 2], [2, 9], [4, 2], [6, 1], [10, 1], [12, 1]], 1172573/6019743744000], [[[1, 2], [2, 9], [5, 1], [6, 1], [10, 1], [12, 1]], 1/27648000], [[[1, 2], [2, 9], [6, 1], [8, 1], [10, 1], [12, 1]], 1/6635520], [[[1, 2], [2, 11], [3, 1], [4, 1], [5, 1], [6, 2]], 10081/16052649984000], [[[1, 2], [2, 11], [3, 1], [4, 1], [5, 1], [8, 1]], 17/1337720832000], [[[1, 2], [2, 11], [3, 1], [4, 1], [5, 1], [10, 1]], 1513/3344302080000], [[[1, 2], [2, 11], [3, 1], [4, 1], [5, 1], [12, 1]], 1/1146617856000], [[[1, 2], [2, 11], [3, 1], [4, 1], [6, 1], [7, 1]], 281/2809213747200], [[[1, 2], [2, 11], [3, 1], [4, 1], [6, 1], [9, 1]], 2843/14447384985600], [[[1, 2], [2, 11], [3, 1], [4, 1], [6, 1], [14, 1]], 17561/1404606873600], [[[1, 2], [2, 11], [3, 1], [4, 1], [6, 1], [18, 1]], 6803/2063912140800], [[[1, 2], [2, 11], [3, 1], [4, 1], [6, 2], [8, 1]], 469493/77052719923200], [[[1, 2], [2, 11], [3, 1], [4, 1], [6, 2], [10, 1]], 16987/594542592000], [[[1, 2], [2, 11], [3, 1], [4, 1], [6, 2], [12, 1]], 7423/2201506283520], [[[1, 2], [2, 11], [3, 1], [4, 1], [8, 1], [10, 1]], 7813/2675441664000], [[[1, 2], [2, 11], [3, 1], [4, 1], [8, 1], [12, 1]], 41/2568423997440], [[[1, 2], [2, 11], [3, 1], [4, 1], [10, 1], [12, 1]], 1513/2675441664000], [[[1, 2], [2, 11], [3, 1], [4, 2], [5, 1], [6, 1]], 3497/24078974976000], [[[1, 2], [2, 11], [3, 1], [4, 2], [6, 1], [8, 1]], 4841/1375941427200], [[[1, 2], [2, 11], [3, 1], [4, 2], [6, 1], [10, 1]], 460739/48157949952000], [[[1, 2], [2, 11], [3, 1], [4, 2], [6, 1], [12, 1]], 45149/69347447930880], [[[1, 2], [2, 11], [3, 1], [5, 1], [6, 1], [8, 1]], 281/4013162496000], [[[1, 2], [2, 11], [3, 1], [5, 1], [6, 1], [10, 1]], 1843/1672151040000], [[[1, 2], [2, 11], [3, 1], [5, 1], [6, 1], [12, 1]], 1/96315899904], [[[1, 2], [2, 11], [3, 1], [6, 1], [8, 1], [10, 1]], 17813/2006581248000], [[[1, 2], [2, 11], [3, 1], [6, 1], [8, 1], [12, 1]], 967/9631589990400], [[[1, 2], [2, 11], [3, 1], [6, 1], [10, 1], [12, 1]], 21311/12039487488000], [[[1, 2], [2, 11], [3, 2], [4, 1], [5, 1], [6, 1]], 593/12039487488000], [[[1, 2], [2, 11], [3, 2], [4, 1], [6, 1], [8, 1]], 757/3210529996800], [[[1, 2], [2, 11], [3, 2], [4, 1], [6, 1], [10, 1]], 73363/12039487488000], [[[1, 2], [2, 11], [3, 2], [4, 1], [6, 1], [12, 1]], 19637/231158159769600], [[[1, 2], [2, 11], [4, 1], [5, 1], [6, 1], [8, 1]], 701/2675441664000], [[[1, 2], [2, 11], [4, 1], [5, 1], [6, 1], [10, 1]], 2693/1672151040000], [[[1, 2], [2, 11], [4, 1], [5, 1], [6, 1], [12, 1]], 31/2006581248000], [[[1, 2], [2, 11], [4, 1], [6, 1], [8, 1], [10, 1]], 109079/5350883328000], [[[1, 2], [2, 11], [4, 1], [6, 1], [8, 1], [12, 1]], 157/160526499840], [[[1, 2], [2, 11], [4, 1], [6, 1], [10, 1], [12, 1]], 18269/2006581248000], [[[1, 2], [2, 13], [3, 1], [4, 1], [5, 1], [6, 1]], 31/16052649984000], [[[1, 2], [2, 13], [3, 1], [4, 1], [6, 1], [8, 1]], 1283/77052719923200], [[[1, 2], [2, 13], [3, 1], [4, 1], [6, 1], [10, 1]], 6331/20065812480000], [[[1, 2], [2, 13], [3, 1], [4, 1], [6, 1], [12, 1]], 83/23115815976960], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [6, 6]], 1/2687385600], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [8, 3]], 29/1474560], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [9, 2]], 1/116640], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [10, 3]], 1/1440000], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [12, 3]], 17/2488320], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [28, 1]], 1/3360], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [36, 1]], 1/4320], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 2], [6, 4]], 259/35831808000], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 2], [8, 2]], 11/2949120], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 2], [10, 2]], 37/5120000], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 2], [12, 2]], 163/66355200], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 2], [15, 1]], 11/768000], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 2], [20, 1]], 11/512000], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 2], [24, 1]], 11/614400], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 2], [30, 1]], 11/768000], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 3], [6, 2]], 1/10368000], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 3], [8, 1]], 13/4608000], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 3], [10, 1]], 1/1440000], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 3], [12, 1]], 1/576000], [[[1, 3], [2, 2], [3, 1], [4, 1], [6, 2], [8, 3]], 35/10616832], [[[1, 3], [2, 2], [3, 1], [4, 1], [6, 2], [10, 3]], 1/3456000], [[[1, 3], [2, 2], [3, 1], [4, 1], [6, 2], [12, 3]], 6155/286654464], [[[1, 3], [2, 2], [3, 1], [4, 1], [6, 2], [18, 2]], 11/2239488], [[[1, 3], [2, 2], [3, 1], [4, 1], [6, 2], [28, 1]], 1/24192], [[[1, 3], [2, 2], [3, 1], [4, 1], [6, 2], [36, 1]], 1/31104], [[[1, 3], [2, 2], [3, 1], [4, 1], [6, 4], [8, 2]], 229/11466178560], [[[1, 3], [2, 2], [3, 1], [4, 1], [6, 4], [10, 2]], 163/35831808000], [[[1, 3], [2, 2], [3, 1], [4, 1], [6, 4], [12, 2]], 21197/17199267840], [[[1, 3], [2, 2], [3, 1], [4, 1], [6, 4], [15, 1]], 163/1791590400], [[[1, 3], [2, 2], [3, 1], [4, 1], [6, 4], [16, 1]], 1/497664], [[[1, 3], [2, 2], [3, 1], [4, 1], [6, 4], [20, 1]], 163/1194393600], [[[1, 3], [2, 2], [3, 1], [4, 1], [6, 4], [24, 1]], 3043/1433272320], [[[1, 3], [2, 2], [3, 1], [4, 1], [6, 4], [30, 1]], 163/1791590400], [[[1, 3], [2, 2], [3, 1], [4, 1], [6, 5], [7, 1]], 1/313528320], [[[1, 3], [2, 2], [3, 1], [4, 1], [6, 5], [9, 1]], 23/9674588160], [[[1, 3], [2, 2], [3, 1], [4, 1], [6, 5], [14, 1]], 1/627056640], [[[1, 3], [2, 2], [3, 1], [4, 1], [6, 5], [18, 1]], 167/3224862720], [[[1, 3], [2, 2], [3, 1], [4, 1], [6, 6], [8, 1]], 19/8599633920], [[[1, 3], [2, 2], [3, 1], [4, 1], [6, 6], [10, 1]], 1/895795200], [[[1, 3], [2, 2], [3, 1], [4, 1], [6, 6], [12, 1]], 569/51597803520], [[[1, 3], [2, 2], [3, 1], [4, 1], [8, 1], [9, 2]], 11/373248], [[[1, 3], [2, 2], [3, 1], [4, 1], [8, 1], [10, 3]], 1/2304000], [[[1, 3], [2, 2], [3, 1], [4, 1], [8, 1], [12, 3]], 61/7962624], [[[1, 3], [2, 2], [3, 1], [4, 1], [8, 1], [28, 1]], 1/5376], [[[1, 3], [2, 2], [3, 1], [4, 1], [8, 1], [36, 1]], 1/6912], [[[1, 3], [2, 2], [3, 1], [4, 1], [8, 2], [10, 2]], 23/14745600], [[[1, 3], [2, 2], [3, 1], [4, 1], [8, 2], [12, 2]], 133/21233664], [[[1, 3], [2, 2], [3, 1], [4, 1], [8, 2], [15, 1]], 23/737280], [[[1, 3], [2, 2], [3, 1], [4, 1], [8, 2], [16, 1]], 5/12288], [[[1, 3], [2, 2], [3, 1], [4, 1], [8, 2], [20, 1]], 29/163840], [[[1, 3], [2, 2], [3, 1], [4, 1], [8, 2], [24, 1]], 61/196608], [[[1, 3], [2, 2], [3, 1], [4, 1], [8, 2], [30, 1]], 23/737280], [[[1, 3], [2, 2], [3, 1], [4, 1], [8, 3], [10, 1]], 1/737280], [[[1, 3], [2, 2], [3, 1], [4, 1], [8, 3], [12, 1]], 31/1769472], [[[1, 3], [2, 2], [3, 1], [4, 1], [9, 2], [10, 1]], 1/116640], [[[1, 3], [2, 2], [3, 1], [4, 1], [9, 2], [12, 1]], 1/69984], [[[1, 3], [2, 2], [3, 1], [4, 1], [10, 1], [12, 3]], 1/829440], [[[1, 3], [2, 2], [3, 1], [4, 1], [10, 2], [12, 2]], 67/66355200], [[[1, 3], [2, 2], [3, 1], [4, 1], [10, 2], [15, 1]], 1/2304000], [[[1, 3], [2, 2], [3, 1], [4, 1], [10, 2], [20, 1]], 1/1536000], [[[1, 3], [2, 2], [3, 1], [4, 1], [10, 2], [24, 1]], 1/1843200], [[[1, 3], [2, 2], [3, 1], [4, 1], [10, 2], [30, 1]], 1/2304000], [[[1, 3], [2, 2], [3, 1], [4, 1], [10, 3], [12, 1]], 1/1728000], [[[1, 3], [2, 2], [3, 1], [4, 1], [12, 1], [28, 1]], 1/4032], [[[1, 3], [2, 2], [3, 1], [4, 1], [12, 1], [36, 1]], 11/41472], [[[1, 3], [2, 2], [3, 1], [4, 1], [12, 2], [15, 1]], 67/3317760], [[[1, 3], [2, 2], [3, 1], [4, 1], [12, 2], [16, 1]], 1/6912], [[[1, 3], [2, 2], [3, 1], [4, 1], [12, 2], [20, 1]], 323/2211840], [[[1, 3], [2, 2], [3, 1], [4, 1], [12, 2], [24, 1]], 487/2654208], [[[1, 3], [2, 2], [3, 1], [4, 1], [12, 2], [30, 1]], 67/3317760], [[[1, 3], [2, 2], [3, 1], [4, 1], [15, 1], [20, 1]], 1/76800], [[[1, 3], [2, 2], [3, 1], [4, 1], [15, 1], [24, 1]], 1/92160], [[[1, 3], [2, 2], [3, 1], [4, 1], [15, 1], [30, 1]], 1/7200], [[[1, 3], [2, 2], [3, 1], [4, 1], [20, 1], [24, 1]], 1/61440], [[[1, 3], [2, 2], [3, 1], [4, 1], [20, 1], [30, 1]], 1/76800], [[[1, 3], [2, 2], [3, 1], [4, 1], [24, 1], [30, 1]], 1/92160], [[[1, 3], [2, 2], [3, 1], [4, 2], [5, 1], [6, 5]], 13/10749542400], [[[1, 3], [2, 2], [3, 1], [4, 2], [5, 2], [6, 3]], 13/5374771200], [[[1, 3], [2, 2], [3, 1], [4, 2], [5, 2], [7, 1]], 1/19353600], [[[1, 3], [2, 2], [3, 1], [4, 2], [5, 2], [9, 1]], 613/199065600], [[[1, 3], [2, 2], [3, 1], [4, 2], [5, 2], [14, 1]], 1/9676800], [[[1, 3], [2, 2], [3, 1], [4, 2], [5, 2], [18, 1]], 1/18662400], [[[1, 3], [2, 2], [3, 1], [4, 2], [5, 3], [6, 1]], 13/41472000], [[[1, 3], [2, 2], [3, 1], [4, 2], [6, 1], [8, 3]], 113/5308416], [[[1, 3], [2, 2], [3, 1], [4, 2], [6, 1], [9, 2]], 1/6718464], [[[1, 3], [2, 2], [3, 1], [4, 2], [6, 1], [10, 3]], 7/20736000], [[[1, 3], [2, 2], [3, 1], [4, 2], [6, 1], [12, 3]], 10471/143327232], [[[1, 3], [2, 2], [3, 1], [4, 2], [6, 1], [18, 2]], 1/1679616], [[[1, 3], [2, 2], [3, 1], [4, 2], [6, 1], [28, 1]], 1/2304], [[[1, 3], [2, 2], [3, 1], [4, 2], [6, 1], [36, 1]], 11/62208], [[[1, 3], [2, 2], [3, 1], [4, 2], [6, 3], [8, 2]], 13/1719926784], [[[1, 3], [2, 2], [3, 1], [4, 2], [6, 3], [10, 2]], 13/5374771200], [[[1, 3], [2, 2], [3, 1], [4, 2], [6, 3], [12, 2]], 69323/2579890176], [[[1, 3], [2, 2], [3, 1], [4, 2], [6, 3], [15, 1]], 13/268738560], [[[1, 3], [2, 2], [3, 1], [4, 2], [6, 3], [20, 1]], 13/179159040], [[[1, 3], [2, 2], [3, 1], [4, 2], [6, 3], [24, 1]], 13/214990848], [[[1, 3], [2, 2], [3, 1], [4, 2], [6, 3], [30, 1]], 13/268738560], [[[1, 3], [2, 2], [3, 1], [4, 2], [6, 4], [7, 1]], 1/5016453120], [[[1, 3], [2, 2], [3, 1], [4, 2], [6, 4], [9, 1]], 37/51597803520], [[[1, 3], [2, 2], [3, 1], [4, 2], [6, 4], [14, 1]], 1/2508226560], [[[1, 3], [2, 2], [3, 1], [4, 2], [6, 4], [18, 1]], 131/4837294080], [[[1, 3], [2, 2], [3, 1], [4, 2], [6, 5], [8, 1]], 89/4299816960], [[[1, 3], [2, 2], [3, 1], [4, 2], [6, 5], [10, 1]], 7/5374771200], [[[1, 3], [2, 2], [3, 1], [4, 2], [6, 5], [12, 1]], 1033/15479341056], [[[1, 3], [2, 2], [3, 1], [4, 2], [7, 1], [8, 2]], 1/6193152], [[[1, 3], [2, 2], [3, 1], [4, 2], [7, 1], [10, 2]], 1/19353600], [[[1, 3], [2, 2], [3, 1], [4, 2], [7, 1], [12, 2]], 113/9289728], [[[1, 3], [2, 2], [3, 1], [4, 2], [7, 1], [15, 1]], 1/967680], [[[1, 3], [2, 2], [3, 1], [4, 2], [7, 1], [20, 1]], 1/645120], [[[1, 3], [2, 2], [3, 1], [4, 2], [7, 1], [24, 1]], 1/774144], [[[1, 3], [2, 2], [3, 1], [4, 2], [7, 1], [30, 1]], 1/967680], [[[1, 3], [2, 2], [3, 1], [4, 2], [8, 2], [9, 1]], 4825/63700992], [[[1, 3], [2, 2], [3, 1], [4, 2], [8, 2], [14, 1]], 1/3096576], [[[1, 3], [2, 2], [3, 1], [4, 2], [8, 2], [18, 1]], 1/5971968], [[[1, 3], [2, 2], [3, 1], [4, 2], [9, 1], [10, 2]], 613/199065600], [[[1, 3], [2, 2], [3, 1], [4, 2], [9, 1], [12, 2]], 2981/95551488], [[[1, 3], [2, 2], [3, 1], [4, 2], [9, 1], [15, 1]], 37/9953280], [[[1, 3], [2, 2], [3, 1], [4, 2], [9, 1], [16, 1]], 1/13824], [[[1, 3], [2, 2], [3, 1], [4, 2], [9, 1], [20, 1]], 421/6635520], [[[1, 3], [2, 2], [3, 1], [4, 2], [9, 1], [24, 1]], 37/7962624], [[[1, 3], [2, 2], [3, 1], [4, 2], [9, 1], [30, 1]], 37/9953280], [[[1, 3], [2, 2], [3, 1], [4, 2], [10, 2], [14, 1]], 1/9676800], [[[1, 3], [2, 2], [3, 1], [4, 2], [10, 2], [18, 1]], 1/18662400], [[[1, 3], [2, 2], [3, 1], [4, 2], [12, 2], [14, 1]], 41/4644864], [[[1, 3], [2, 2], [3, 1], [4, 2], [12, 2], [18, 1]], 53/8957952], [[[1, 3], [2, 2], [3, 1], [4, 2], [14, 1], [15, 1]], 1/483840], [[[1, 3], [2, 2], [3, 1], [4, 2], [14, 1], [20, 1]], 1/322560], [[[1, 3], [2, 2], [3, 1], [4, 2], [14, 1], [24, 1]], 1/387072], [[[1, 3], [2, 2], [3, 1], [4, 2], [14, 1], [30, 1]], 1/483840], [[[1, 3], [2, 2], [3, 1], [4, 2], [15, 1], [18, 1]], 1/933120], [[[1, 3], [2, 2], [3, 1], [4, 2], [18, 1], [20, 1]], 1/622080], [[[1, 3], [2, 2], [3, 1], [4, 2], [18, 1], [24, 1]], 1/746496], [[[1, 3], [2, 2], [3, 1], [4, 2], [18, 1], [30, 1]], 1/933120], [[[1, 3], [2, 2], [3, 1], [4, 3], [5, 1], [6, 4]], 1/3583180800], [[[1, 3], [2, 2], [3, 1], [4, 3], [5, 1], [8, 2]], 5/884736], [[[1, 3], [2, 2], [3, 1], [4, 3], [5, 1], [10, 2]], 1/13824000], [[[1, 3], [2, 2], [3, 1], [4, 3], [5, 1], [12, 2]], 5/147456], [[[1, 3], [2, 2], [3, 1], [4, 3], [5, 1], [15, 1]], 1/691200], [[[1, 3], [2, 2], [3, 1], [4, 3], [5, 1], [16, 1]], 1/46080], [[[1, 3], [2, 2], [3, 1], [4, 3], [5, 1], [20, 1]], 11/153600], [[[1, 3], [2, 2], [3, 1], [4, 3], [5, 1], [24, 1]], 1/552960], [[[1, 3], [2, 2], [3, 1], [4, 3], [5, 1], [30, 1]], 1/691200], [[[1, 3], [2, 2], [3, 1], [4, 3], [5, 2], [6, 2]], 1/199065600], [[[1, 3], [2, 2], [3, 1], [4, 3], [5, 2], [8, 1]], 13/88473600], [[[1, 3], [2, 2], [3, 1], [4, 3], [5, 2], [10, 1]], 1/27648000], [[[1, 3], [2, 2], [3, 1], [4, 3], [5, 2], [12, 1]], 67/11059200], [[[1, 3], [2, 2], [3, 1], [4, 3], [6, 2], [8, 2]], 625/63700992], [[[1, 3], [2, 2], [3, 1], [4, 3], [6, 2], [10, 2]], 1/199065600], [[[1, 3], [2, 2], [3, 1], [4, 3], [6, 2], [12, 2]], 4087/95551488], [[[1, 3], [2, 2], [3, 1], [4, 3], [6, 2], [15, 1]], 1/9953280], [[[1, 3], [2, 2], [3, 1], [4, 3], [6, 2], [16, 1]], 1/331776], [[[1, 3], [2, 2], [3, 1], [4, 3], [6, 2], [20, 1]], 13/1327104], [[[1, 3], [2, 2], [3, 1], [4, 3], [6, 2], [24, 1]], 1/7962624], [[[1, 3], [2, 2], [3, 1], [4, 3], [6, 2], [30, 1]], 1/9953280], [[[1, 3], [2, 2], [3, 1], [4, 3], [6, 3], [9, 1]], 1/214990848], [[[1, 3], [2, 2], [3, 1], [4, 3], [6, 3], [18, 1]], 1/17915904], [[[1, 3], [2, 2], [3, 1], [4, 3], [6, 4], [8, 1]], 3853/22932357120], [[[1, 3], [2, 2], [3, 1], [4, 3], [6, 4], [10, 1]], 1/7166361600], [[[1, 3], [2, 2], [3, 1], [4, 3], [6, 4], [12, 1]], 6179/8599633920], [[[1, 3], [2, 2], [3, 1], [4, 3], [7, 1], [9, 1]], 1/1161216], [[[1, 3], [2, 2], [3, 1], [4, 3], [7, 1], [14, 1]], 1/64512], [[[1, 3], [2, 2], [3, 1], [4, 3], [8, 1], [10, 2]], 13/88473600], [[[1, 3], [2, 2], [3, 1], [4, 3], [8, 1], [12, 2]], 1007/14155776], [[[1, 3], [2, 2], [3, 1], [4, 3], [8, 1], [15, 1]], 13/4423680], [[[1, 3], [2, 2], [3, 1], [4, 3], [8, 1], [16, 1]], 23/294912], [[[1, 3], [2, 2], [3, 1], [4, 3], [8, 1], [20, 1]], 173/2949120], [[[1, 3], [2, 2], [3, 1], [4, 3], [8, 1], [24, 1]], 77/3538944], [[[1, 3], [2, 2], [3, 1], [4, 3], [8, 1], [30, 1]], 13/4423680], [[[1, 3], [2, 2], [3, 1], [4, 3], [8, 2], [10, 1]], 1/8847360], [[[1, 3], [2, 2], [3, 1], [4, 3], [8, 2], [12, 1]], 61/1179648], [[[1, 3], [2, 2], [3, 1], [4, 3], [9, 1], [14, 1]], 1/2322432], [[[1, 3], [2, 2], [3, 1], [4, 3], [9, 1], [18, 1]], 37/2985984], [[[1, 3], [2, 2], [3, 1], [4, 3], [10, 1], [12, 2]], 13/2654208], [[[1, 3], [2, 2], [3, 1], [4, 3], [10, 1], [15, 1]], 1/1382400], [[[1, 3], [2, 2], [3, 1], [4, 3], [10, 1], [20, 1]], 1/921600], [[[1, 3], [2, 2], [3, 1], [4, 3], [10, 1], [24, 1]], 1/1105920], [[[1, 3], [2, 2], [3, 1], [4, 3], [10, 1], [30, 1]], 1/1382400], [[[1, 3], [2, 2], [3, 1], [4, 3], [10, 2], [12, 1]], 1/3686400], [[[1, 3], [2, 2], [3, 1], [4, 3], [12, 1], [15, 1]], 1/184320], [[[1, 3], [2, 2], [3, 1], [4, 3], [12, 1], [16, 1]], 1/36864], [[[1, 3], [2, 2], [3, 1], [4, 3], [12, 1], [20, 1]], 17/122880], [[[1, 3], [2, 2], [3, 1], [4, 3], [12, 1], [24, 1]], 19/442368], [[[1, 3], [2, 2], [3, 1], [4, 3], [12, 1], [30, 1]], 1/184320], [[[1, 3], [2, 2], [3, 1], [4, 4], [5, 1], [6, 3]], 7/42998169600], [[[1, 3], [2, 2], [3, 1], [4, 4], [5, 1], [7, 1]], 1/51609600], [[[1, 3], [2, 2], [3, 1], [4, 4], [5, 1], [9, 1]], 379/1194393600], [[[1, 3], [2, 2], [3, 1], [4, 4], [5, 1], [14, 1]], 1/51609600], [[[1, 3], [2, 2], [3, 1], [4, 4], [5, 1], [18, 1]], 7/597196800], [[[1, 3], [2, 2], [3, 1], [4, 4], [5, 2], [6, 1]], 5/63700992], [[[1, 3], [2, 2], [3, 1], [4, 4], [6, 1], [8, 2]], 102661/2548039680], [[[1, 3], [2, 2], [3, 1], [4, 4], [6, 1], [10, 2]], 5/63700992], [[[1, 3], [2, 2], [3, 1], [4, 4], [6, 1], [12, 2]], 143399/764411904], [[[1, 3], [2, 2], [3, 1], [4, 4], [6, 1], [15, 1]], 25/15925248], [[[1, 3], [2, 2], [3, 1], [4, 4], [6, 1], [16, 1]], 7/442368], [[[1, 3], [2, 2], [3, 1], [4, 4], [6, 1], [20, 1]], 409/10616832], [[[1, 3], [2, 2], [3, 1], [4, 4], [6, 1], [24, 1]], 2797/318504960], [[[1, 3], [2, 2], [3, 1], [4, 4], [6, 1], [30, 1]], 25/15925248], [[[1, 3], [2, 2], [3, 1], [4, 4], [6, 2], [7, 1]], 1/318504960], [[[1, 3], [2, 2], [3, 1], [4, 4], [6, 2], [9, 1]], 7/2866544640], [[[1, 3], [2, 2], [3, 1], [4, 4], [6, 2], [14, 1]], 1/445906944], [[[1, 3], [2, 2], [3, 1], [4, 4], [6, 2], [18, 1]], 7513/8599633920], [[[1, 3], [2, 2], [3, 1], [4, 4], [6, 3], [8, 1]], 13/11466178560], [[[1, 3], [2, 2], [3, 1], [4, 4], [6, 3], [10, 1]], 1/955514880], [[[1, 3], [2, 2], [3, 1], [4, 4], [6, 3], [12, 1]], 3817/20639121408], [[[1, 3], [2, 2], [3, 1], [4, 4], [7, 1], [8, 1]], 1/61931520], [[[1, 3], [2, 2], [3, 1], [4, 4], [7, 1], [12, 1]], 167/371589120], [[[1, 3], [2, 2], [3, 1], [4, 4], [8, 1], [9, 1]], 13523/1911029760], [[[1, 3], [2, 2], [3, 1], [4, 4], [8, 1], [14, 1]], 1/123863040], [[[1, 3], [2, 2], [3, 1], [4, 4], [8, 1], [18, 1]], 1/159252480], [[[1, 3], [2, 2], [3, 1], [4, 4], [9, 1], [10, 1]], 121/398131200], [[[1, 3], [2, 2], [3, 1], [4, 4], [9, 1], [12, 1]], 581/95551488], [[[1, 3], [2, 2], [3, 1], [4, 4], [12, 1], [14, 1]], 65/74317824], [[[1, 3], [2, 2], [3, 1], [4, 4], [12, 1], [18, 1]], 653/1433272320], [[[1, 3], [2, 2], [3, 1], [4, 5], [5, 1], [6, 2]], 1/796262400], [[[1, 3], [2, 2], [3, 1], [4, 5], [5, 1], [8, 1]], 41/70778880], [[[1, 3], [2, 2], [3, 1], [4, 5], [5, 1], [10, 1]], 1/110592000], [[[1, 3], [2, 2], [3, 1], [4, 5], [5, 1], [12, 1]], 211/132710400], [[[1, 3], [2, 2], [3, 1], [4, 5], [6, 1], [7, 1]], 1/92897280], [[[1, 3], [2, 2], [3, 1], [4, 5], [6, 1], [9, 1]], 23/2866544640], [[[1, 3], [2, 2], [3, 1], [4, 5], [6, 1], [14, 1]], 1/185794560], [[[1, 3], [2, 2], [3, 1], [4, 5], [6, 1], [18, 1]], 1/35389440], [[[1, 3], [2, 2], [3, 1], [4, 5], [6, 2], [8, 1]], 211/2548039680], [[[1, 3], [2, 2], [3, 1], [4, 5], [6, 2], [10, 1]], 1/265420800], [[[1, 3], [2, 2], [3, 1], [4, 5], [6, 2], [12, 1]], 2837/15288238080], [[[1, 3], [2, 2], [3, 1], [4, 5], [8, 1], [10, 1]], 1/176947200], [[[1, 3], [2, 2], [3, 1], [4, 5], [8, 1], [12, 1]], 1943/424673280], [[[1, 3], [2, 2], [3, 1], [4, 5], [10, 1], [12, 1]], 41/132710400], [[[1, 3], [2, 2], [3, 1], [4, 6], [5, 1], [6, 1]], 13/3185049600], [[[1, 3], [2, 2], [3, 1], [4, 6], [6, 1], [8, 1]], 1097/1274019840], [[[1, 3], [2, 2], [3, 1], [4, 6], [6, 1], [10, 1]], 7/1592524800], [[[1, 3], [2, 2], [3, 1], [4, 6], [6, 1], [12, 1]], 80311/22932357120], [[[1, 3], [2, 2], [3, 1], [5, 1], [6, 1], [8, 3]], 1/552960], [[[1, 3], [2, 2], [3, 1], [5, 1], [6, 1], [10, 3]], 11/1440000], [[[1, 3], [2, 2], [3, 1], [5, 1], [6, 1], [12, 3]], 7/4976640], [[[1, 3], [2, 2], [3, 1], [5, 1], [6, 1], [18, 2]], 7/699840], [[[1, 3], [2, 2], [3, 1], [5, 1], [6, 3], [8, 2]], 7/179159040], [[[1, 3], [2, 2], [3, 1], [5, 1], [6, 3], [10, 2]], 7/559872000], [[[1, 3], [2, 2], [3, 1], [5, 1], [6, 3], [12, 2]], 77/53747712], [[[1, 3], [2, 2], [3, 1], [5, 1], [6, 3], [15, 1]], 7/27993600], [[[1, 3], [2, 2], [3, 1], [5, 1], [6, 3], [20, 1]], 7/18662400], [[[1, 3], [2, 2], [3, 1], [5, 1], [6, 3], [24, 1]], 7/22394880], [[[1, 3], [2, 2], [3, 1], [5, 1], [6, 3], [30, 1]], 7/27993600], [[[1, 3], [2, 2], [3, 1], [5, 1], [6, 4], [7, 1]], 1/174182400], [[[1, 3], [2, 2], [3, 1], [5, 1], [6, 4], [9, 1]], 19/4031078400], [[[1, 3], [2, 2], [3, 1], [5, 1], [6, 4], [14, 1]], 1/174182400], [[[1, 3], [2, 2], [3, 1], [5, 1], [6, 4], [18, 1]], 287/2015539200], [[[1, 3], [2, 2], [3, 1], [5, 1], [6, 5], [8, 1]], 1/447897600], [[[1, 3], [2, 2], [3, 1], [5, 1], [6, 5], [10, 1]], 11/373248000], [[[1, 3], [2, 2], [3, 1], [5, 1], [6, 5], [12, 1]], 77/2687385600], [[[1, 3], [2, 2], [3, 1], [5, 1], [7, 1], [8, 2]], 1/215040], [[[1, 3], [2, 2], [3, 1], [5, 1], [7, 1], [10, 2]], 1/672000], [[[1, 3], [2, 2], [3, 1], [5, 1], [7, 1], [12, 2]], 1/322560], [[[1, 3], [2, 2], [3, 1], [5, 1], [7, 1], [15, 1]], 1/33600], [[[1, 3], [2, 2], [3, 1], [5, 1], [7, 1], [20, 1]], 1/22400], [[[1, 3], [2, 2], [3, 1], [5, 1], [7, 1], [24, 1]], 1/26880], [[[1, 3], [2, 2], [3, 1], [5, 1], [7, 1], [30, 1]], 1/33600], [[[1, 3], [2, 2], [3, 1], [5, 1], [8, 2], [9, 1]], 19/4976640], [[[1, 3], [2, 2], [3, 1], [5, 1], [8, 2], [14, 1]], 1/215040], [[[1, 3], [2, 2], [3, 1], [5, 1], [8, 2], [18, 1]], 7/2488320], [[[1, 3], [2, 2], [3, 1], [5, 1], [9, 1], [10, 2]], 19/15552000], [[[1, 3], [2, 2], [3, 1], [5, 1], [9, 1], [12, 2]], 19/7464960], [[[1, 3], [2, 2], [3, 1], [5, 1], [9, 1], [15, 1]], 19/777600], [[[1, 3], [2, 2], [3, 1], [5, 1], [9, 1], [20, 1]], 19/518400], [[[1, 3], [2, 2], [3, 1], [5, 1], [9, 1], [24, 1]], 19/622080], [[[1, 3], [2, 2], [3, 1], [5, 1], [9, 1], [30, 1]], 19/777600], [[[1, 3], [2, 2], [3, 1], [5, 1], [10, 2], [14, 1]], 1/672000], [[[1, 3], [2, 2], [3, 1], [5, 1], [10, 2], [18, 1]], 7/7776000], [[[1, 3], [2, 2], [3, 1], [5, 1], [12, 2], [14, 1]], 1/322560], [[[1, 3], [2, 2], [3, 1], [5, 1], [12, 2], [18, 1]], 7/3732480], [[[1, 3], [2, 2], [3, 1], [5, 1], [14, 1], [15, 1]], 1/33600], [[[1, 3], [2, 2], [3, 1], [5, 1], [14, 1], [20, 1]], 1/22400], [[[1, 3], [2, 2], [3, 1], [5, 1], [14, 1], [24, 1]], 1/26880], [[[1, 3], [2, 2], [3, 1], [5, 1], [14, 1], [30, 1]], 1/33600], [[[1, 3], [2, 2], [3, 1], [5, 1], [15, 1], [18, 1]], 7/388800], [[[1, 3], [2, 2], [3, 1], [5, 1], [18, 1], [20, 1]], 7/259200], [[[1, 3], [2, 2], [3, 1], [5, 1], [18, 1], [24, 1]], 7/311040], [[[1, 3], [2, 2], [3, 1], [5, 1], [18, 1], [30, 1]], 7/388800], [[[1, 3], [2, 2], [3, 1], [5, 2], [6, 1], [8, 2]], 41/33177600], [[[1, 3], [2, 2], [3, 1], [5, 2], [6, 1], [10, 2]], 301/20736000], [[[1, 3], [2, 2], [3, 1], [5, 2], [6, 1], [12, 2]], 11/9953280], [[[1, 3], [2, 2], [3, 1], [5, 2], [6, 1], [15, 1]], 1/1036800], [[[1, 3], [2, 2], [3, 1], [5, 2], [6, 1], [20, 1]], 1/691200], [[[1, 3], [2, 2], [3, 1], [5, 2], [6, 1], [24, 1]], 17/4147200], [[[1, 3], [2, 2], [3, 1], [5, 2], [6, 1], [30, 1]], 1/1036800], [[[1, 3], [2, 2], [3, 1], [5, 2], [6, 2], [7, 1]], 1/4147200], [[[1, 3], [2, 2], [3, 1], [5, 2], [6, 2], [9, 1]], 7/37324800], [[[1, 3], [2, 2], [3, 1], [5, 2], [6, 2], [14, 1]], 1/5806080], [[[1, 3], [2, 2], [3, 1], [5, 2], [6, 2], [18, 1]], 73/111974400], [[[1, 3], [2, 2], [3, 1], [5, 2], [6, 3], [8, 1]], 13/149299200], [[[1, 3], [2, 2], [3, 1], [5, 2], [6, 3], [10, 1]], 1/12441600], [[[1, 3], [2, 2], [3, 1], [5, 2], [6, 3], [12, 1]], 53/268738560], [[[1, 3], [2, 2], [3, 1], [5, 2], [7, 1], [8, 1]], 1/806400], [[[1, 3], [2, 2], [3, 1], [5, 2], [7, 1], [12, 1]], 1/691200], [[[1, 3], [2, 2], [3, 1], [5, 2], [8, 1], [9, 1]], 23/24883200], [[[1, 3], [2, 2], [3, 1], [5, 2], [8, 1], [14, 1]], 1/1612800], [[[1, 3], [2, 2], [3, 1], [5, 2], [8, 1], [18, 1]], 1/2073600], [[[1, 3], [2, 2], [3, 1], [5, 2], [9, 1], [10, 1]], 1/5184000], [[[1, 3], [2, 2], [3, 1], [5, 2], [9, 1], [12, 1]], 1/1244160], [[[1, 3], [2, 2], [3, 1], [5, 2], [12, 1], [14, 1]], 1/967680], [[[1, 3], [2, 2], [3, 1], [5, 2], [12, 1], [18, 1]], 13/18662400], [[[1, 3], [2, 2], [3, 1], [5, 3], [6, 1], [8, 1]], 1/1728000], [[[1, 3], [2, 2], [3, 1], [5, 3], [6, 1], [10, 1]], 11/1440000], [[[1, 3], [2, 2], [3, 1], [5, 3], [6, 1], [12, 1]], 7/10368000], [[[1, 3], [2, 2], [3, 1], [6, 1], [8, 1], [9, 2]], 1/139968], [[[1, 3], [2, 2], [3, 1], [6, 1], [8, 1], [10, 3]], 1/3456000], [[[1, 3], [2, 2], [3, 1], [6, 1], [8, 1], [12, 3]], 7/3981312], [[[1, 3], [2, 2], [3, 1], [6, 1], [8, 1], [18, 2]], 1/186624], [[[1, 3], [2, 2], [3, 1], [6, 1], [8, 2], [10, 2]], 41/33177600], [[[1, 3], [2, 2], [3, 1], [6, 1], [8, 2], [12, 2]], 91/15925248], [[[1, 3], [2, 2], [3, 1], [6, 1], [8, 2], [15, 1]], 41/1658880], [[[1, 3], [2, 2], [3, 1], [6, 1], [8, 2], [20, 1]], 41/1105920], [[[1, 3], [2, 2], [3, 1], [6, 1], [8, 2], [24, 1]], 71/442368], [[[1, 3], [2, 2], [3, 1], [6, 1], [8, 2], [30, 1]], 41/1658880], [[[1, 3], [2, 2], [3, 1], [6, 1], [8, 3], [10, 1]], 1/1105920], [[[1, 3], [2, 2], [3, 1], [6, 1], [8, 3], [12, 1]], 7/2654208], [[[1, 3], [2, 2], [3, 1], [6, 1], [9, 2], [10, 1]], 1/139968], [[[1, 3], [2, 2], [3, 1], [6, 1], [9, 2], [12, 1]], 13/1679616], [[[1, 3], [2, 2], [3, 1], [6, 1], [10, 1], [12, 3]], 1/995328], [[[1, 3], [2, 2], [3, 1], [6, 1], [10, 2], [12, 2]], 11/9953280], [[[1, 3], [2, 2], [3, 1], [6, 1], [10, 2], [15, 1]], 1/1036800], [[[1, 3], [2, 2], [3, 1], [6, 1], [10, 2], [20, 1]], 1/691200], [[[1, 3], [2, 2], [3, 1], [6, 1], [10, 2], [24, 1]], 17/4147200], [[[1, 3], [2, 2], [3, 1], [6, 1], [10, 2], [30, 1]], 1/1036800], [[[1, 3], [2, 2], [3, 1], [6, 1], [10, 3], [12, 1]], 1/2073600], [[[1, 3], [2, 2], [3, 1], [6, 1], [12, 1], [18, 2]], 13/1679616], [[[1, 3], [2, 2], [3, 1], [6, 1], [12, 1], [36, 1]], 5/31104], [[[1, 3], [2, 2], [3, 1], [6, 1], [12, 2], [15, 1]], 11/497664], [[[1, 3], [2, 2], [3, 1], [6, 1], [12, 2], [20, 1]], 11/331776], [[[1, 3], [2, 2], [3, 1], [6, 1], [12, 2], [24, 1]], 127/1990656], [[[1, 3], [2, 2], [3, 1], [6, 1], [12, 2], [30, 1]], 11/497664], [[[1, 3], [2, 2], [3, 1], [6, 1], [15, 1], [20, 1]], 1/34560], [[[1, 3], [2, 2], [3, 1], [6, 1], [15, 1], [24, 1]], 17/207360], [[[1, 3], [2, 2], [3, 1], [6, 1], [15, 1], [30, 1]], 1/3240], [[[1, 3], [2, 2], [3, 1], [6, 1], [20, 1], [24, 1]], 17/138240], [[[1, 3], [2, 2], [3, 1], [6, 1], [20, 1], [30, 1]], 1/34560], [[[1, 3], [2, 2], [3, 1], [6, 1], [24, 1], [30, 1]], 17/207360], [[[1, 3], [2, 2], [3, 1], [6, 2], [7, 1], [8, 2]], 1/1327104], [[[1, 3], [2, 2], [3, 1], [6, 2], [7, 1], [10, 2]], 1/4147200], [[[1, 3], [2, 2], [3, 1], [6, 2], [7, 1], [12, 2]], 7/1990656], [[[1, 3], [2, 2], [3, 1], [6, 2], [7, 1], [15, 1]], 1/207360], [[[1, 3], [2, 2], [3, 1], [6, 2], [7, 1], [20, 1]], 1/138240], [[[1, 3], [2, 2], [3, 1], [6, 2], [7, 1], [24, 1]], 1/165888], [[[1, 3], [2, 2], [3, 1], [6, 2], [7, 1], [30, 1]], 1/207360], [[[1, 3], [2, 2], [3, 1], [6, 2], [8, 2], [9, 1]], 31/11943936], [[[1, 3], [2, 2], [3, 1], [6, 2], [8, 2], [14, 1]], 5/9289728], [[[1, 3], [2, 2], [3, 1], [6, 2], [8, 2], [18, 1]], 505/35831808], [[[1, 3], [2, 2], [3, 1], [6, 2], [9, 1], [10, 2]], 11/7464960], [[[1, 3], [2, 2], [3, 1], [6, 2], [9, 1], [12, 2]], 73/17915904], [[[1, 3], [2, 2], [3, 1], [6, 2], [9, 1], [15, 1]], 7/1866240], [[[1, 3], [2, 2], [3, 1], [6, 2], [9, 1], [20, 1]], 7/1244160], [[[1, 3], [2, 2], [3, 1], [6, 2], [9, 1], [24, 1]], 7/1492992], [[[1, 3], [2, 2], [3, 1], [6, 2], [9, 1], [30, 1]], 7/1866240], [[[1, 3], [2, 2], [3, 1], [6, 2], [10, 2], [14, 1]], 1/5806080], [[[1, 3], [2, 2], [3, 1], [6, 2], [10, 2], [18, 1]], 73/111974400], [[[1, 3], [2, 2], [3, 1], [6, 2], [12, 2], [14, 1]], 5/1990656], [[[1, 3], [2, 2], [3, 1], [6, 2], [12, 2], [18, 1]], 751/53747712], [[[1, 3], [2, 2], [3, 1], [6, 2], [14, 1], [15, 1]], 1/290304], [[[1, 3], [2, 2], [3, 1], [6, 2], [14, 1], [20, 1]], 1/193536], [[[1, 3], [2, 2], [3, 1], [6, 2], [14, 1], [24, 1]], 5/1161216], [[[1, 3], [2, 2], [3, 1], [6, 2], [14, 1], [30, 1]], 1/290304], [[[1, 3], [2, 2], [3, 1], [6, 2], [15, 1], [18, 1]], 73/5598720], [[[1, 3], [2, 2], [3, 1], [6, 2], [18, 1], [20, 1]], 73/3732480], [[[1, 3], [2, 2], [3, 1], [6, 2], [18, 1], [24, 1]], 217/4478976], [[[1, 3], [2, 2], [3, 1], [6, 2], [18, 1], [30, 1]], 73/5598720], [[[1, 3], [2, 2], [3, 1], [6, 3], [7, 1], [9, 1]], 1/3359232], [[[1, 3], [2, 2], [3, 1], [6, 3], [7, 1], [18, 1]], 1/373248], [[[1, 3], [2, 2], [3, 1], [6, 3], [8, 1], [10, 2]], 13/149299200], [[[1, 3], [2, 2], [3, 1], [6, 3], [8, 1], [12, 2]], 139/71663616], [[[1, 3], [2, 2], [3, 1], [6, 3], [8, 1], [15, 1]], 13/7464960], [[[1, 3], [2, 2], [3, 1], [6, 3], [8, 1], [20, 1]], 13/4976640], [[[1, 3], [2, 2], [3, 1], [6, 3], [8, 1], [24, 1]], 13/5971968], [[[1, 3], [2, 2], [3, 1], [6, 3], [8, 1], [30, 1]], 13/7464960], [[[1, 3], [2, 2], [3, 1], [6, 3], [8, 2], [10, 1]], 1/3981312], [[[1, 3], [2, 2], [3, 1], [6, 3], [8, 2], [12, 1]], 1237/429981696], [[[1, 3], [2, 2], [3, 1], [6, 3], [9, 1], [14, 1]], 1/7838208], [[[1, 3], [2, 2], [3, 1], [6, 3], [9, 1], [18, 1]], 23/1259712], [[[1, 3], [2, 2], [3, 1], [6, 3], [10, 1], [12, 2]], 7/5971968], [[[1, 3], [2, 2], [3, 1], [6, 3], [10, 1], [15, 1]], 1/622080], [[[1, 3], [2, 2], [3, 1], [6, 3], [10, 1], [20, 1]], 1/414720], [[[1, 3], [2, 2], [3, 1], [6, 3], [10, 1], [24, 1]], 1/497664], [[[1, 3], [2, 2], [3, 1], [6, 3], [10, 1], [30, 1]], 1/622080], [[[1, 3], [2, 2], [3, 1], [6, 3], [10, 2], [12, 1]], 53/268738560], [[[1, 3], [2, 2], [3, 1], [6, 3], [12, 1], [15, 1]], 53/13436928], [[[1, 3], [2, 2], [3, 1], [6, 3], [12, 1], [20, 1]], 53/8957952], [[[1, 3], [2, 2], [3, 1], [6, 3], [12, 1], [24, 1]], 589/53747712], [[[1, 3], [2, 2], [3, 1], [6, 3], [12, 1], [30, 1]], 53/13436928], [[[1, 3], [2, 2], [3, 1], [6, 3], [14, 1], [18, 1]], 5/2612736], [[[1, 3], [2, 2], [3, 1], [6, 4], [7, 1], [8, 1]], 1/209018880], [[[1, 3], [2, 2], [3, 1], [6, 4], [7, 1], [12, 1]], 91/179159040], [[[1, 3], [2, 2], [3, 1], [6, 4], [8, 1], [9, 1]], 503/6449725440], [[[1, 3], [2, 2], [3, 1], [6, 4], [8, 1], [14, 1]], 1/418037760], [[[1, 3], [2, 2], [3, 1], [6, 4], [8, 1], [18, 1]], 521/537477120], [[[1, 3], [2, 2], [3, 1], [6, 4], [9, 1], [10, 1]], 1/16588800], [[[1, 3], [2, 2], [3, 1], [6, 4], [9, 1], [12, 1]], 151/322486272], [[[1, 3], [2, 2], [3, 1], [6, 4], [10, 1], [18, 1]], 1/1119744], [[[1, 3], [2, 2], [3, 1], [6, 4], [12, 1], [14, 1]], 13/35831808], [[[1, 3], [2, 2], [3, 1], [6, 4], [12, 1], [18, 1]], 11783/4837294080], [[[1, 3], [2, 2], [3, 1], [6, 5], [8, 1], [10, 1]], 1/895795200], [[[1, 3], [2, 2], [3, 1], [6, 5], [8, 1], [12, 1]], 397/2149908480], [[[1, 3], [2, 2], [3, 1], [6, 5], [10, 1], [12, 1]], 91/537477120], [[[1, 3], [2, 2], [3, 1], [7, 1], [8, 1], [10, 2]], 1/806400], [[[1, 3], [2, 2], [3, 1], [7, 1], [8, 1], [12, 2]], 1/387072], [[[1, 3], [2, 2], [3, 1], [7, 1], [8, 1], [15, 1]], 1/40320], [[[1, 3], [2, 2], [3, 1], [7, 1], [8, 1], [20, 1]], 1/26880], [[[1, 3], [2, 2], [3, 1], [7, 1], [8, 1], [24, 1]], 1/32256], [[[1, 3], [2, 2], [3, 1], [7, 1], [8, 1], [30, 1]], 1/40320], [[[1, 3], [2, 2], [3, 1], [7, 1], [8, 2], [12, 1]], 1/221184], [[[1, 3], [2, 2], [3, 1], [7, 1], [9, 1], [14, 1]], 17/84672], [[[1, 3], [2, 2], [3, 1], [7, 1], [9, 1], [18, 1]], 1/46656], [[[1, 3], [2, 2], [3, 1], [7, 1], [10, 2], [12, 1]], 1/691200], [[[1, 3], [2, 2], [3, 1], [7, 1], [12, 1], [15, 1]], 1/34560], [[[1, 3], [2, 2], [3, 1], [7, 1], [12, 1], [20, 1]], 1/23040], [[[1, 3], [2, 2], [3, 1], [7, 1], [12, 1], [24, 1]], 1/27648], [[[1, 3], [2, 2], [3, 1], [7, 1], [12, 1], [30, 1]], 1/34560], [[[1, 3], [2, 2], [3, 1], [8, 1], [9, 1], [10, 2]], 23/24883200], [[[1, 3], [2, 2], [3, 1], [8, 1], [9, 1], [12, 2]], 23/11943936], [[[1, 3], [2, 2], [3, 1], [8, 1], [9, 1], [15, 1]], 23/1244160], [[[1, 3], [2, 2], [3, 1], [8, 1], [9, 1], [16, 1]], 1/27648], [[[1, 3], [2, 2], [3, 1], [8, 1], [9, 1], [20, 1]], 23/829440], [[[1, 3], [2, 2], [3, 1], [8, 1], [9, 1], [24, 1]], 23/995328], [[[1, 3], [2, 2], [3, 1], [8, 1], [9, 1], [30, 1]], 23/1244160], [[[1, 3], [2, 2], [3, 1], [8, 1], [10, 2], [14, 1]], 1/1612800], [[[1, 3], [2, 2], [3, 1], [8, 1], [10, 2], [18, 1]], 1/2073600], [[[1, 3], [2, 2], [3, 1], [8, 1], [12, 2], [14, 1]], 1/774144], [[[1, 3], [2, 2], [3, 1], [8, 1], [12, 2], [18, 1]], 1/995328], [[[1, 3], [2, 2], [3, 1], [8, 1], [14, 1], [15, 1]], 1/80640], [[[1, 3], [2, 2], [3, 1], [8, 1], [14, 1], [20, 1]], 1/53760], [[[1, 3], [2, 2], [3, 1], [8, 1], [14, 1], [24, 1]], 1/64512], [[[1, 3], [2, 2], [3, 1], [8, 1], [14, 1], [30, 1]], 1/80640], [[[1, 3], [2, 2], [3, 1], [8, 1], [15, 1], [18, 1]], 1/103680], [[[1, 3], [2, 2], [3, 1], [8, 1], [18, 1], [20, 1]], 1/69120], [[[1, 3], [2, 2], [3, 1], [8, 1], [18, 1], [24, 1]], 1/82944], [[[1, 3], [2, 2], [3, 1], [8, 1], [18, 1], [30, 1]], 1/103680], [[[1, 3], [2, 2], [3, 1], [8, 2], [9, 1], [10, 1]], 1/1658880], [[[1, 3], [2, 2], [3, 1], [8, 2], [9, 1], [12, 1]], 5/1990656], [[[1, 3], [2, 2], [3, 1], [8, 2], [12, 1], [14, 1]], 5/1548288], [[[1, 3], [2, 2], [3, 1], [8, 2], [12, 1], [18, 1]], 13/5971968], [[[1, 3], [2, 2], [3, 1], [9, 1], [10, 1], [12, 2]], 1/2488320], [[[1, 3], [2, 2], [3, 1], [9, 1], [10, 1], [15, 1]], 1/259200], [[[1, 3], [2, 2], [3, 1], [9, 1], [10, 1], [20, 1]], 1/172800], [[[1, 3], [2, 2], [3, 1], [9, 1], [10, 1], [24, 1]], 1/207360], [[[1, 3], [2, 2], [3, 1], [9, 1], [10, 1], [30, 1]], 1/259200], [[[1, 3], [2, 2], [3, 1], [9, 1], [10, 2], [12, 1]], 1/1244160], [[[1, 3], [2, 2], [3, 1], [9, 1], [12, 1], [15, 1]], 1/62208], [[[1, 3], [2, 2], [3, 1], [9, 1], [12, 1], [20, 1]], 1/41472], [[[1, 3], [2, 2], [3, 1], [9, 1], [12, 1], [24, 1]], 5/248832], [[[1, 3], [2, 2], [3, 1], [9, 1], [12, 1], [30, 1]], 1/62208], [[[1, 3], [2, 2], [3, 1], [9, 1], [14, 1], [18, 1]], 1/108864], [[[1, 3], [2, 2], [3, 1], [10, 2], [12, 1], [14, 1]], 1/967680], [[[1, 3], [2, 2], [3, 1], [10, 2], [12, 1], [18, 1]], 13/18662400], [[[1, 3], [2, 2], [3, 1], [12, 1], [14, 1], [15, 1]], 1/48384], [[[1, 3], [2, 2], [3, 1], [12, 1], [14, 1], [20, 1]], 1/32256], [[[1, 3], [2, 2], [3, 1], [12, 1], [14, 1], [24, 1]], 5/193536], [[[1, 3], [2, 2], [3, 1], [12, 1], [14, 1], [30, 1]], 1/48384], [[[1, 3], [2, 2], [3, 1], [12, 1], [15, 1], [18, 1]], 13/933120], [[[1, 3], [2, 2], [3, 1], [12, 1], [18, 1], [20, 1]], 13/622080], [[[1, 3], [2, 2], [3, 1], [12, 1], [18, 1], [24, 1]], 13/746496], [[[1, 3], [2, 2], [3, 1], [12, 1], [18, 1], [30, 1]], 13/933120], [[[1, 3], [2, 2], [3, 2], [4, 1], [5, 1], [6, 5]], 49/10749542400], [[[1, 3], [2, 2], [3, 2], [4, 1], [5, 2], [6, 3]], 71/1194393600], [[[1, 3], [2, 2], [3, 2], [4, 1], [5, 2], [9, 1]], 11/1382400], [[[1, 3], [2, 2], [3, 2], [4, 1], [5, 3], [6, 1]], 19/41472000], [[[1, 3], [2, 2], [3, 2], [4, 1], [6, 1], [8, 3]], 19/7077888], [[[1, 3], [2, 2], [3, 2], [4, 1], [6, 1], [9, 2]], 13/2239488], [[[1, 3], [2, 2], [3, 2], [4, 1], [6, 1], [10, 3]], 1/13824000], [[[1, 3], [2, 2], [3, 2], [4, 1], [6, 1], [12, 3]], 2575/95551488], [[[1, 3], [2, 2], [3, 2], [4, 1], [6, 1], [28, 1]], 1/32256], [[[1, 3], [2, 2], [3, 2], [4, 1], [6, 1], [36, 1]], 1/41472], [[[1, 3], [2, 2], [3, 2], [4, 1], [6, 3], [8, 2]], 269/382205952], [[[1, 3], [2, 2], [3, 2], [4, 1], [6, 3], [10, 2]], 43/238878720], [[[1, 3], [2, 2], [3, 2], [4, 1], [6, 3], [12, 2]], 1609/63700992], [[[1, 3], [2, 2], [3, 2], [4, 1], [6, 3], [15, 1]], 71/59719680], [[[1, 3], [2, 2], [3, 2], [4, 1], [6, 3], [16, 1]], 1/41472], [[[1, 3], [2, 2], [3, 2], [4, 1], [6, 3], [20, 1]], 71/39813120], [[[1, 3], [2, 2], [3, 2], [4, 1], [6, 3], [24, 1]], 1727/47775744], [[[1, 3], [2, 2], [3, 2], [4, 1], [6, 3], [30, 1]], 71/59719680], [[[1, 3], [2, 2], [3, 2], [4, 1], [6, 4], [9, 1]], 163/3224862720], [[[1, 3], [2, 2], [3, 2], [4, 1], [6, 4], [18, 1]], 71/107495424], [[[1, 3], [2, 2], [3, 2], [4, 1], [6, 5], [8, 1]], 203/17199267840], [[[1, 3], [2, 2], [3, 2], [4, 1], [6, 5], [10, 1]], 11/3583180800], [[[1, 3], [2, 2], [3, 2], [4, 1], [6, 5], [12, 1]], 4801/10319560704], [[[1, 3], [2, 2], [3, 2], [4, 1], [7, 1], [12, 2]], 1/193536], [[[1, 3], [2, 2], [3, 2], [4, 1], [8, 2], [9, 1]], 23/1327104], [[[1, 3], [2, 2], [3, 2], [4, 1], [9, 1], [10, 2]], 1/4147200], [[[1, 3], [2, 2], [3, 2], [4, 1], [9, 1], [12, 2]], 83/5971968], [[[1, 3], [2, 2], [3, 2], [4, 1], [9, 1], [15, 1]], 1/207360], [[[1, 3], [2, 2], [3, 2], [4, 1], [9, 1], [20, 1]], 1/138240], [[[1, 3], [2, 2], [3, 2], [4, 1], [9, 1], [24, 1]], 1/165888], [[[1, 3], [2, 2], [3, 2], [4, 1], [9, 1], [30, 1]], 1/207360], [[[1, 3], [2, 2], [3, 2], [4, 1], [12, 2], [14, 1]], 1/387072], [[[1, 3], [2, 2], [3, 2], [4, 1], [12, 2], [18, 1]], 1/497664], [[[1, 3], [2, 2], [3, 2], [4, 2], [5, 1], [6, 4]], 1/10749542400], [[[1, 3], [2, 2], [3, 2], [4, 2], [5, 1], [8, 2]], 1/13271040], [[[1, 3], [2, 2], [3, 2], [4, 2], [5, 1], [10, 2]], 1/41472000], [[[1, 3], [2, 2], [3, 2], [4, 2], [5, 1], [12, 2]], 53/6635520], [[[1, 3], [2, 2], [3, 2], [4, 2], [5, 1], [15, 1]], 1/2073600], [[[1, 3], [2, 2], [3, 2], [4, 2], [5, 1], [20, 1]], 1/1382400], [[[1, 3], [2, 2], [3, 2], [4, 2], [5, 1], [24, 1]], 1/1658880], [[[1, 3], [2, 2], [3, 2], [4, 2], [5, 1], [30, 1]], 1/2073600], [[[1, 3], [2, 2], [3, 2], [4, 2], [5, 2], [6, 2]], 691/424673280], [[[1, 3], [2, 2], [3, 2], [4, 2], [5, 2], [8, 1]], 1/33177600], [[[1, 3], [2, 2], [3, 2], [4, 2], [5, 2], [12, 1]], 34021/9555148800], [[[1, 3], [2, 2], [3, 2], [4, 2], [6, 2], [8, 2]], 4859/679477248], [[[1, 3], [2, 2], [3, 2], [4, 2], [6, 2], [10, 2]], 691/424673280], [[[1, 3], [2, 2], [3, 2], [4, 2], [6, 2], [12, 2]], 13943537/9172942848], [[[1, 3], [2, 2], [3, 2], [4, 2], [6, 2], [15, 1]], 3263/106168320], [[[1, 3], [2, 2], [3, 2], [4, 2], [6, 2], [16, 1]], 11/147456], [[[1, 3], [2, 2], [3, 2], [4, 2], [6, 2], [20, 1]], 3391/70778880], [[[1, 3], [2, 2], [3, 2], [4, 2], [6, 2], [24, 1]], 10103/84934656], [[[1, 3], [2, 2], [3, 2], [4, 2], [6, 2], [30, 1]], 3263/106168320], [[[1, 3], [2, 2], [3, 2], [4, 2], [6, 3], [7, 1]], 1/55738368], [[[1, 3], [2, 2], [3, 2], [4, 2], [6, 3], [9, 1]], 61/1934917632], [[[1, 3], [2, 2], [3, 2], [4, 2], [6, 3], [18, 1]], 3263/191102976], [[[1, 3], [2, 2], [3, 2], [4, 2], [6, 4], [8, 1]], 1/8599633920], [[[1, 3], [2, 2], [3, 2], [4, 2], [6, 4], [12, 1]], 10648999/2476694568960], [[[1, 3], [2, 2], [3, 2], [4, 2], [7, 1], [9, 1]], 1/1741824], [[[1, 3], [2, 2], [3, 2], [4, 2], [8, 1], [10, 2]], 1/33177600], [[[1, 3], [2, 2], [3, 2], [4, 2], [8, 1], [12, 2]], 35/1769472], [[[1, 3], [2, 2], [3, 2], [4, 2], [8, 1], [15, 1]], 1/1658880], [[[1, 3], [2, 2], [3, 2], [4, 2], [8, 1], [16, 1]], 5/442368], [[[1, 3], [2, 2], [3, 2], [4, 2], [8, 1], [20, 1]], 1/1105920], [[[1, 3], [2, 2], [3, 2], [4, 2], [8, 1], [24, 1]], 1/1327104], [[[1, 3], [2, 2], [3, 2], [4, 2], [8, 1], [30, 1]], 1/1658880], [[[1, 3], [2, 2], [3, 2], [4, 2], [8, 2], [12, 1]], 56569/3057647616], [[[1, 3], [2, 2], [3, 2], [4, 2], [9, 1], [14, 1]], 1/870912], [[[1, 3], [2, 2], [3, 2], [4, 2], [9, 1], [18, 1]], 1/1679616], [[[1, 3], [2, 2], [3, 2], [4, 2], [10, 1], [12, 2]], 7/3317760], [[[1, 3], [2, 2], [3, 2], [4, 2], [10, 2], [12, 1]], 6373/9555148800], [[[1, 3], [2, 2], [3, 2], [4, 2], [12, 1], [15, 1]], 1189/477757440], [[[1, 3], [2, 2], [3, 2], [4, 2], [12, 1], [16, 1]], 1/73728], [[[1, 3], [2, 2], [3, 2], [4, 2], [12, 1], [20, 1]], 2465/63700992], [[[1, 3], [2, 2], [3, 2], [4, 2], [12, 1], [24, 1]], 5029/382205952], [[[1, 3], [2, 2], [3, 2], [4, 2], [12, 1], [30, 1]], 1189/477757440], [[[1, 3], [2, 2], [3, 2], [4, 3], [5, 1], [9, 1]], 1/1244160], [[[1, 3], [2, 2], [3, 2], [4, 3], [5, 2], [6, 1]], 19/796262400], [[[1, 3], [2, 2], [3, 2], [4, 3], [6, 1], [8, 2]], 2467/254803968], [[[1, 3], [2, 2], [3, 2], [4, 3], [6, 1], [10, 2]], 19/796262400], [[[1, 3], [2, 2], [3, 2], [4, 3], [6, 1], [12, 2]], 7111/127401984], [[[1, 3], [2, 2], [3, 2], [4, 3], [6, 1], [15, 1]], 19/39813120], [[[1, 3], [2, 2], [3, 2], [4, 3], [6, 1], [16, 1]], 5/442368], [[[1, 3], [2, 2], [3, 2], [4, 3], [6, 1], [20, 1]], 211/26542080], [[[1, 3], [2, 2], [3, 2], [4, 3], [6, 1], [24, 1]], 307/31850496], [[[1, 3], [2, 2], [3, 2], [4, 3], [6, 1], [30, 1]], 19/39813120], [[[1, 3], [2, 2], [3, 2], [4, 3], [6, 2], [7, 1]], 1/37158912], [[[1, 3], [2, 2], [3, 2], [4, 3], [6, 2], [9, 1]], 5/71663616], [[[1, 3], [2, 2], [3, 2], [4, 3], [6, 2], [14, 1]], 1/74317824], [[[1, 3], [2, 2], [3, 2], [4, 3], [6, 2], [18, 1]], 79/286654464], [[[1, 3], [2, 2], [3, 2], [4, 3], [6, 3], [8, 1]], 515/254803968], [[[1, 3], [2, 2], [3, 2], [4, 3], [6, 3], [10, 1]], 1/159252480], [[[1, 3], [2, 2], [3, 2], [4, 3], [6, 3], [12, 1]], 13883/1146617856], [[[1, 3], [2, 2], [3, 2], [4, 3], [7, 1], [12, 1]], 1/6193152], [[[1, 3], [2, 2], [3, 2], [4, 3], [8, 1], [9, 1]], 13/7962624], [[[1, 3], [2, 2], [3, 2], [4, 3], [9, 1], [10, 1]], 1/2488320], [[[1, 3], [2, 2], [3, 2], [4, 3], [9, 1], [12, 1]], 37/11943936], [[[1, 3], [2, 2], [3, 2], [4, 3], [12, 1], [14, 1]], 1/12386304], [[[1, 3], [2, 2], [3, 2], [4, 3], [12, 1], [18, 1]], 1/15925248], [[[1, 3], [2, 2], [3, 2], [4, 4], [5, 1], [6, 2]], 421/38220595200], [[[1, 3], [2, 2], [3, 2], [4, 4], [5, 1], [8, 1]], 1/132710400], [[[1, 3], [2, 2], [3, 2], [4, 4], [5, 1], [12, 1]], 7/26214400], [[[1, 3], [2, 2], [3, 2], [4, 4], [6, 1], [7, 1]], 1/318504960], [[[1, 3], [2, 2], [3, 2], [4, 4], [6, 1], [9, 1]], 7513/8599633920], [[[1, 3], [2, 2], [3, 2], [4, 4], [6, 1], [14, 1]], 1/743178240], [[[1, 3], [2, 2], [3, 2], [4, 4], [6, 1], [18, 1]], 19/8599633920], [[[1, 3], [2, 2], [3, 2], [4, 4], [6, 2], [8, 1]], 382259/61152952320], [[[1, 3], [2, 2], [3, 2], [4, 4], [6, 2], [10, 1]], 43/4246732800], [[[1, 3], [2, 2], [3, 2], [4, 4], [6, 2], [12, 1]], 469243/11466178560], [[[1, 3], [2, 2], [3, 2], [4, 4], [8, 1], [12, 1]], 5377/3397386240], [[[1, 3], [2, 2], [3, 2], [4, 4], [10, 1], [12, 1]], 121/2123366400], [[[1, 3], [2, 2], [3, 2], [4, 5], [5, 1], [6, 1]], 19/3185049600], [[[1, 3], [2, 2], [3, 2], [4, 5], [6, 1], [8, 1]], 1387/1698693120], [[[1, 3], [2, 2], [3, 2], [4, 5], [6, 1], [10, 1]], 1/1061683200], [[[1, 3], [2, 2], [3, 2], [4, 5], [6, 1], [12, 1]], 5639/1698693120], [[[1, 3], [2, 2], [3, 2], [5, 1], [6, 2], [8, 2]], 61/159252480], [[[1, 3], [2, 2], [3, 2], [5, 1], [6, 2], [10, 2]], 61/497664000], [[[1, 3], [2, 2], [3, 2], [5, 1], [6, 2], [12, 2]], 1147/238878720], [[[1, 3], [2, 2], [3, 2], [5, 1], [6, 2], [15, 1]], 51901/24883200], [[[1, 3], [2, 2], [3, 2], [5, 1], [6, 2], [20, 1]], 61/16588800], [[[1, 3], [2, 2], [3, 2], [5, 1], [6, 2], [24, 1]], 421/19906560], [[[1, 3], [2, 2], [3, 2], [5, 1], [6, 2], [30, 1]], 61/24883200], [[[1, 3], [2, 2], [3, 2], [5, 1], [6, 3], [9, 1]], 7/50388480], [[[1, 3], [2, 2], [3, 2], [5, 1], [6, 3], [18, 1]], 61/44789760], [[[1, 3], [2, 2], [3, 2], [5, 1], [6, 4], [8, 1]], 1/447897600], [[[1, 3], [2, 2], [3, 2], [5, 1], [6, 4], [12, 1]], 5551/21499084800], [[[1, 3], [2, 2], [3, 2], [5, 1], [7, 1], [9, 1]], 1/60480], [[[1, 3], [2, 2], [3, 2], [5, 1], [8, 1], [10, 2]], 1/1728000], [[[1, 3], [2, 2], [3, 2], [5, 1], [8, 1], [12, 2]], 1/829440], [[[1, 3], [2, 2], [3, 2], [5, 1], [8, 1], [15, 1]], 1/86400], [[[1, 3], [2, 2], [3, 2], [5, 1], [8, 1], [20, 1]], 1/57600], [[[1, 3], [2, 2], [3, 2], [5, 1], [8, 1], [24, 1]], 1/69120], [[[1, 3], [2, 2], [3, 2], [5, 1], [8, 1], [30, 1]], 1/86400], [[[1, 3], [2, 2], [3, 2], [5, 1], [8, 2], [12, 1]], 61/26542080], [[[1, 3], [2, 2], [3, 2], [5, 1], [9, 1], [14, 1]], 1/60480], [[[1, 3], [2, 2], [3, 2], [5, 1], [9, 1], [18, 1]], 7/699840], [[[1, 3], [2, 2], [3, 2], [5, 1], [10, 2], [12, 1]], 61/82944000], [[[1, 3], [2, 2], [3, 2], [5, 1], [12, 1], [15, 1]], 61/4147200], [[[1, 3], [2, 2], [3, 2], [5, 1], [12, 1], [20, 1]], 61/2764800], [[[1, 3], [2, 2], [3, 2], [5, 1], [12, 1], [24, 1]], 61/3317760], [[[1, 3], [2, 2], [3, 2], [5, 1], [12, 1], [30, 1]], 61/4147200], [[[1, 3], [2, 2], [3, 2], [5, 2], [6, 1], [7, 1]], 1/4147200], [[[1, 3], [2, 2], [3, 2], [5, 2], [6, 1], [9, 1]], 73/111974400], [[[1, 3], [2, 2], [3, 2], [5, 2], [6, 1], [14, 1]], 1/9676800], [[[1, 3], [2, 2], [3, 2], [5, 2], [6, 1], [18, 1]], 451/111974400], [[[1, 3], [2, 2], [3, 2], [5, 2], [6, 2], [8, 1]], 119/796262400], [[[1, 3], [2, 2], [3, 2], [5, 2], [6, 2], [10, 1]], 1/18432000], [[[1, 3], [2, 2], [3, 2], [5, 2], [6, 2], [12, 1]], 17/18662400], [[[1, 3], [2, 2], [3, 2], [5, 2], [8, 1], [12, 1]], 71/132710400], [[[1, 3], [2, 2], [3, 2], [5, 2], [10, 1], [12, 1]], 1/27648000], [[[1, 3], [2, 2], [3, 2], [6, 1], [7, 1], [8, 2]], 1/1327104], [[[1, 3], [2, 2], [3, 2], [6, 1], [7, 1], [10, 2]], 1/4147200], [[[1, 3], [2, 2], [3, 2], [6, 1], [7, 1], [12, 2]], 7/1990656], [[[1, 3], [2, 2], [3, 2], [6, 1], [7, 1], [15, 1]], 1/207360], [[[1, 3], [2, 2], [3, 2], [6, 1], [7, 1], [20, 1]], 1/138240], [[[1, 3], [2, 2], [3, 2], [6, 1], [7, 1], [24, 1]], 1/165888], [[[1, 3], [2, 2], [3, 2], [6, 1], [7, 1], [30, 1]], 1/207360], [[[1, 3], [2, 2], [3, 2], [6, 1], [8, 2], [9, 1]], 505/35831808], [[[1, 3], [2, 2], [3, 2], [6, 1], [8, 2], [14, 1]], 1/3096576], [[[1, 3], [2, 2], [3, 2], [6, 1], [8, 2], [18, 1]], 91/35831808], [[[1, 3], [2, 2], [3, 2], [6, 1], [9, 1], [10, 2]], 73/111974400], [[[1, 3], [2, 2], [3, 2], [6, 1], [9, 1], [12, 2]], 751/53747712], [[[1, 3], [2, 2], [3, 2], [6, 1], [9, 1], [15, 1]], 73/5598720], [[[1, 3], [2, 2], [3, 2], [6, 1], [9, 1], [20, 1]], 73/3732480], [[[1, 3], [2, 2], [3, 2], [6, 1], [9, 1], [24, 1]], 217/4478976], [[[1, 3], [2, 2], [3, 2], [6, 1], [9, 1], [30, 1]], 73/5598720], [[[1, 3], [2, 2], [3, 2], [6, 1], [10, 2], [14, 1]], 1/9676800], [[[1, 3], [2, 2], [3, 2], [6, 1], [10, 2], [18, 1]], 19/111974400], [[[1, 3], [2, 2], [3, 2], [6, 1], [12, 2], [14, 1]], 1/663552], [[[1, 3], [2, 2], [3, 2], [6, 1], [12, 2], [18, 1]], 253/53747712], [[[1, 3], [2, 2], [3, 2], [6, 1], [14, 1], [15, 1]], 1/483840], [[[1, 3], [2, 2], [3, 2], [6, 1], [14, 1], [20, 1]], 1/322560], [[[1, 3], [2, 2], [3, 2], [6, 1], [14, 1], [24, 1]], 1/387072], [[[1, 3], [2, 2], [3, 2], [6, 1], [14, 1], [30, 1]], 1/483840], [[[1, 3], [2, 2], [3, 2], [6, 1], [15, 1], [18, 1]], 19/5598720], [[[1, 3], [2, 2], [3, 2], [6, 1], [18, 1], [20, 1]], 19/3732480], [[[1, 3], [2, 2], [3, 2], [6, 1], [18, 1], [24, 1]], 19/4478976], [[[1, 3], [2, 2], [3, 2], [6, 1], [18, 1], [30, 1]], 19/5598720], [[[1, 3], [2, 2], [3, 2], [6, 2], [7, 1], [9, 1]], 5/1492992], [[[1, 3], [2, 2], [3, 2], [6, 2], [7, 1], [14, 1]], 17/2709504], [[[1, 3], [2, 2], [3, 2], [6, 2], [7, 1], [18, 1]], 5/1492992], [[[1, 3], [2, 2], [3, 2], [6, 2], [8, 1], [10, 2]], 119/796262400], [[[1, 3], [2, 2], [3, 2], [6, 2], [8, 1], [12, 2]], 1841/382205952], [[[1, 3], [2, 2], [3, 2], [6, 2], [8, 1], [15, 1]], 119/39813120], [[[1, 3], [2, 2], [3, 2], [6, 2], [8, 1], [16, 1]], 1/884736], [[[1, 3], [2, 2], [3, 2], [6, 2], [8, 1], [20, 1]], 119/26542080], [[[1, 3], [2, 2], [3, 2], [6, 2], [8, 1], [24, 1]], 83567/31850496], [[[1, 3], [2, 2], [3, 2], [6, 2], [8, 1], [30, 1]], 119/39813120], [[[1, 3], [2, 2], [3, 2], [6, 2], [8, 2], [10, 1]], 1/5898240], [[[1, 3], [2, 2], [3, 2], [6, 2], [8, 2], [12, 1]], 1/746496], [[[1, 3], [2, 2], [3, 2], [6, 2], [9, 1], [14, 1]], 25/10450944], [[[1, 3], [2, 2], [3, 2], [6, 2], [9, 1], [18, 1]], 64505/13436928], [[[1, 3], [2, 2], [3, 2], [6, 2], [10, 1], [12, 2]], 23/8847360], [[[1, 3], [2, 2], [3, 2], [6, 2], [10, 1], [15, 1]], 1/921600], [[[1, 3], [2, 2], [3, 2], [6, 2], [10, 1], [20, 1]], 1/614400], [[[1, 3], [2, 2], [3, 2], [6, 2], [10, 1], [24, 1]], 1/81920], [[[1, 3], [2, 2], [3, 2], [6, 2], [10, 1], [30, 1]], 1921/921600], [[[1, 3], [2, 2], [3, 2], [6, 2], [10, 2], [12, 1]], 1/2332800], [[[1, 3], [2, 2], [3, 2], [6, 2], [12, 1], [15, 1]], 7/1866240], [[[1, 3], [2, 2], [3, 2], [6, 2], [12, 1], [20, 1]], 7/1244160], [[[1, 3], [2, 2], [3, 2], [6, 2], [12, 1], [24, 1]], 7/1492992], [[[1, 3], [2, 2], [3, 2], [6, 2], [12, 1], [30, 1]], 7/1866240], [[[1, 3], [2, 2], [3, 2], [6, 2], [14, 1], [18, 1]], 5/3483648], [[[1, 3], [2, 2], [3, 2], [6, 3], [7, 1], [8, 1]], 1/2322432], [[[1, 3], [2, 2], [3, 2], [6, 3], [7, 1], [10, 1]], 1/1935360], [[[1, 3], [2, 2], [3, 2], [6, 3], [7, 1], [12, 1]], 19/17915904], [[[1, 3], [2, 2], [3, 2], [6, 3], [8, 1], [9, 1]], 1/839808], [[[1, 3], [2, 2], [3, 2], [6, 3], [8, 1], [14, 1]], 1/4644864], [[[1, 3], [2, 2], [3, 2], [6, 3], [8, 1], [18, 1]], 131/71663616], [[[1, 3], [2, 2], [3, 2], [6, 3], [9, 1], [10, 1]], 5/4478976], [[[1, 3], [2, 2], [3, 2], [6, 3], [9, 1], [12, 1]], 1307/483729408], [[[1, 3], [2, 2], [3, 2], [6, 3], [10, 1], [14, 1]], 1/5806080], [[[1, 3], [2, 2], [3, 2], [6, 3], [10, 1], [18, 1]], 11/14929920], [[[1, 3], [2, 2], [3, 2], [6, 3], [12, 1], [14, 1]], 19/41803776], [[[1, 3], [2, 2], [3, 2], [6, 3], [12, 1], [18, 1]], 131/53747712], [[[1, 3], [2, 2], [3, 2], [6, 4], [8, 1], [10, 1]], 1/9953280], [[[1, 3], [2, 2], [3, 2], [6, 4], [8, 1], [12, 1]], 15581/34398535680], [[[1, 3], [2, 2], [3, 2], [6, 4], [10, 1], [12, 1]], 179/796262400], [[[1, 3], [2, 2], [3, 2], [7, 1], [8, 1], [9, 1]], 1/72576], [[[1, 3], [2, 2], [3, 2], [7, 1], [9, 1], [12, 1]], 5/248832], [[[1, 3], [2, 2], [3, 2], [7, 1], [12, 1], [14, 1]], 17/451584], [[[1, 3], [2, 2], [3, 2], [7, 1], [12, 1], [18, 1]], 1/248832], [[[1, 3], [2, 2], [3, 2], [8, 1], [9, 1], [14, 1]], 1/145152], [[[1, 3], [2, 2], [3, 2], [8, 1], [9, 1], [18, 1]], 1/186624], [[[1, 3], [2, 2], [3, 2], [8, 1], [10, 2], [12, 1]], 71/132710400], [[[1, 3], [2, 2], [3, 2], [8, 1], [12, 1], [15, 1]], 71/6635520], [[[1, 3], [2, 2], [3, 2], [8, 1], [12, 1], [16, 1]], 1/147456], [[[1, 3], [2, 2], [3, 2], [8, 1], [12, 1], [20, 1]], 71/4423680], [[[1, 3], [2, 2], [3, 2], [8, 1], [12, 1], [24, 1]], 71/5308416], [[[1, 3], [2, 2], [3, 2], [8, 1], [12, 1], [30, 1]], 71/6635520], [[[1, 3], [2, 2], [3, 2], [8, 2], [10, 1], [12, 1]], 1/8847360], [[[1, 3], [2, 2], [3, 2], [9, 1], [12, 1], [14, 1]], 25/1741824], [[[1, 3], [2, 2], [3, 2], [9, 1], [12, 1], [18, 1]], 119/6718464], [[[1, 3], [2, 2], [3, 2], [10, 1], [12, 1], [15, 1]], 1/1382400], [[[1, 3], [2, 2], [3, 2], [10, 1], [12, 1], [20, 1]], 1/921600], [[[1, 3], [2, 2], [3, 2], [10, 1], [12, 1], [24, 1]], 1/1105920], [[[1, 3], [2, 2], [3, 2], [10, 1], [12, 1], [30, 1]], 1/1382400], [[[1, 3], [2, 2], [3, 2], [12, 1], [14, 1], [18, 1]], 1/580608], [[[1, 3], [2, 2], [3, 3], [4, 1], [5, 1], [6, 4]], 811/24186470400], [[[1, 3], [2, 2], [3, 3], [4, 1], [5, 1], [8, 2]], 1/29859840], [[[1, 3], [2, 2], [3, 3], [4, 1], [5, 1], [10, 2]], 1/93312000], [[[1, 3], [2, 2], [3, 3], [4, 1], [5, 1], [12, 2]], 163/44789760], [[[1, 3], [2, 2], [3, 3], [4, 1], [5, 1], [15, 1]], 1/4665600], [[[1, 3], [2, 2], [3, 3], [4, 1], [5, 1], [20, 1]], 1/3110400], [[[1, 3], [2, 2], [3, 3], [4, 1], [5, 1], [24, 1]], 1/3732480], [[[1, 3], [2, 2], [3, 3], [4, 1], [5, 1], [30, 1]], 1/4665600], [[[1, 3], [2, 2], [3, 3], [4, 1], [5, 2], [6, 2]], 23/79626240], [[[1, 3], [2, 2], [3, 3], [4, 1], [5, 2], [8, 1]], 11/298598400], [[[1, 3], [2, 2], [3, 3], [4, 1], [5, 2], [10, 1]], 1/93312000], [[[1, 3], [2, 2], [3, 3], [4, 1], [5, 2], [12, 1]], 541/358318080], [[[1, 3], [2, 2], [3, 3], [4, 1], [6, 2], [8, 2]], 85/127401984], [[[1, 3], [2, 2], [3, 3], [4, 1], [6, 2], [10, 2]], 19/398131200], [[[1, 3], [2, 2], [3, 3], [4, 1], [6, 2], [12, 2]], 52957/1719926784], [[[1, 3], [2, 2], [3, 3], [4, 1], [6, 2], [15, 1]], 19/19906560], [[[1, 3], [2, 2], [3, 3], [4, 1], [6, 2], [16, 1]], 1/55296], [[[1, 3], [2, 2], [3, 3], [4, 1], [6, 2], [20, 1]], 19/13271040], [[[1, 3], [2, 2], [3, 3], [4, 1], [6, 2], [24, 1]], 523/15925248], [[[1, 3], [2, 2], [3, 3], [4, 1], [6, 2], [30, 1]], 19/19906560], [[[1, 3], [2, 2], [3, 3], [4, 1], [6, 3], [7, 1]], 25/3483648], [[[1, 3], [2, 2], [3, 3], [4, 1], [6, 3], [9, 1]], 157/35831808], [[[1, 3], [2, 2], [3, 3], [4, 1], [6, 3], [14, 1]], 25/6967296], [[[1, 3], [2, 2], [3, 3], [4, 1], [6, 3], [18, 1]], 119/35831808], [[[1, 3], [2, 2], [3, 3], [4, 1], [6, 4], [8, 1]], 170921/77396705280], [[[1, 3], [2, 2], [3, 3], [4, 1], [6, 4], [10, 1]], 41311/24186470400], [[[1, 3], [2, 2], [3, 3], [4, 1], [6, 4], [12, 1]], 2914763/464380231680], [[[1, 3], [2, 2], [3, 3], [4, 1], [7, 1], [14, 1]], 1/217728], [[[1, 3], [2, 2], [3, 3], [4, 1], [8, 1], [10, 2]], 11/298598400], [[[1, 3], [2, 2], [3, 3], [4, 1], [8, 1], [12, 2]], 821/143327232], [[[1, 3], [2, 2], [3, 3], [4, 1], [8, 1], [15, 1]], 11/14929920], [[[1, 3], [2, 2], [3, 3], [4, 1], [8, 1], [16, 1]], 5/497664], [[[1, 3], [2, 2], [3, 3], [4, 1], [8, 1], [20, 1]], 43/9953280], [[[1, 3], [2, 2], [3, 3], [4, 1], [8, 1], [24, 1]], 25/3981312], [[[1, 3], [2, 2], [3, 3], [4, 1], [8, 1], [30, 1]], 11/14929920], [[[1, 3], [2, 2], [3, 3], [4, 1], [8, 2], [10, 1]], 1/29859840], [[[1, 3], [2, 2], [3, 3], [4, 1], [8, 2], [12, 1]], 1895/573308928], [[[1, 3], [2, 2], [3, 3], [4, 1], [9, 1], [18, 1]], 1/279936], [[[1, 3], [2, 2], [3, 3], [4, 1], [10, 1], [12, 2]], 11/8957952], [[[1, 3], [2, 2], [3, 3], [4, 1], [10, 1], [15, 1]], 1/4665600], [[[1, 3], [2, 2], [3, 3], [4, 1], [10, 1], [20, 1]], 1/3110400], [[[1, 3], [2, 2], [3, 3], [4, 1], [10, 1], [24, 1]], 1/3732480], [[[1, 3], [2, 2], [3, 3], [4, 1], [10, 1], [30, 1]], 1/4665600], [[[1, 3], [2, 2], [3, 3], [4, 1], [10, 2], [12, 1]], 113/1791590400], [[[1, 3], [2, 2], [3, 3], [4, 1], [12, 1], [15, 1]], 113/89579520], [[[1, 3], [2, 2], [3, 3], [4, 1], [12, 1], [16, 1]], 1/373248], [[[1, 3], [2, 2], [3, 3], [4, 1], [12, 1], [20, 1]], 241/59719680], [[[1, 3], [2, 2], [3, 3], [4, 1], [12, 1], [24, 1]], 305/71663616], [[[1, 3], [2, 2], [3, 3], [4, 1], [12, 1], [30, 1]], 113/89579520], [[[1, 3], [2, 2], [3, 3], [4, 2], [5, 1], [6, 3]], 301/119439360], [[[1, 3], [2, 2], [3, 3], [4, 2], [5, 1], [9, 1]], 1/3732480], [[[1, 3], [2, 2], [3, 3], [4, 2], [5, 2], [6, 1]], 37/5374771200], [[[1, 3], [2, 2], [3, 3], [4, 2], [6, 1], [8, 2]], 37/1719926784], [[[1, 3], [2, 2], [3, 3], [4, 2], [6, 1], [10, 2]], 37/5374771200], [[[1, 3], [2, 2], [3, 3], [4, 2], [6, 1], [12, 2]], 349283/2579890176], [[[1, 3], [2, 2], [3, 3], [4, 2], [6, 1], [15, 1]], 37/268738560], [[[1, 3], [2, 2], [3, 3], [4, 2], [6, 1], [20, 1]], 37/179159040], [[[1, 3], [2, 2], [3, 3], [4, 2], [6, 1], [24, 1]], 37/214990848], [[[1, 3], [2, 2], [3, 3], [4, 2], [6, 1], [30, 1]], 37/268738560], [[[1, 3], [2, 2], [3, 3], [4, 2], [6, 2], [7, 1]], 1/55738368], [[[1, 3], [2, 2], [3, 3], [4, 2], [6, 2], [9, 1]], 9797/573308928], [[[1, 3], [2, 2], [3, 3], [4, 2], [6, 2], [14, 1]], 1/27869184], [[[1, 3], [2, 2], [3, 3], [4, 2], [6, 2], [18, 1]], 23/241864704], [[[1, 3], [2, 2], [3, 3], [4, 2], [6, 3], [8, 1]], 485/47775744], [[[1, 3], [2, 2], [3, 3], [4, 2], [6, 3], [10, 1]], 151/59719680], [[[1, 3], [2, 2], [3, 3], [4, 2], [6, 3], [12, 1]], 2163101/69657034752], [[[1, 3], [2, 2], [3, 3], [4, 2], [7, 1], [12, 1]], 83/250822656], [[[1, 3], [2, 2], [3, 3], [4, 2], [8, 1], [9, 1]], 1/2985984], [[[1, 3], [2, 2], [3, 3], [4, 2], [9, 1], [12, 1]], 4103/2579890176], [[[1, 3], [2, 2], [3, 3], [4, 2], [12, 1], [14, 1]], 47/125411328], [[[1, 3], [2, 2], [3, 3], [4, 2], [12, 1], [18, 1]], 53/241864704], [[[1, 3], [2, 2], [3, 3], [4, 3], [5, 1], [6, 2]], 1/39813120], [[[1, 3], [2, 2], [3, 3], [4, 3], [5, 1], [12, 1]], 43/179159040], [[[1, 3], [2, 2], [3, 3], [4, 3], [6, 1], [9, 1]], 19/71663616], [[[1, 3], [2, 2], [3, 3], [4, 3], [6, 1], [18, 1]], 1/161243136], [[[1, 3], [2, 2], [3, 3], [4, 3], [6, 2], [8, 1]], 397/254803968], [[[1, 3], [2, 2], [3, 3], [4, 3], [6, 2], [10, 1]], 1/79626240], [[[1, 3], [2, 2], [3, 3], [4, 3], [6, 2], [12, 1]], 10747/859963392], [[[1, 3], [2, 2], [3, 3], [4, 3], [8, 1], [12, 1]], 1471/1146617856], [[[1, 3], [2, 2], [3, 3], [4, 3], [10, 1], [12, 1]], 59/358318080], [[[1, 3], [2, 2], [3, 3], [4, 4], [5, 1], [6, 1]], 7/4777574400], [[[1, 3], [2, 2], [3, 3], [4, 4], [6, 1], [8, 1]], 31/34398535680], [[[1, 3], [2, 2], [3, 3], [4, 4], [6, 1], [10, 1]], 1/8599633920], [[[1, 3], [2, 2], [3, 3], [4, 4], [6, 1], [12, 1]], 4585/20639121408], [[[1, 3], [2, 2], [3, 3], [5, 1], [6, 1], [8, 2]], 7/19906560], [[[1, 3], [2, 2], [3, 3], [5, 1], [6, 1], [10, 2]], 7/62208000], [[[1, 3], [2, 2], [3, 3], [5, 1], [6, 1], [12, 2]], 49/29859840], [[[1, 3], [2, 2], [3, 3], [5, 1], [6, 1], [15, 1]], 4327/3110400], [[[1, 3], [2, 2], [3, 3], [5, 1], [6, 1], [20, 1]], 7/2073600], [[[1, 3], [2, 2], [3, 3], [5, 1], [6, 1], [24, 1]], 7/2488320], [[[1, 3], [2, 2], [3, 3], [5, 1], [6, 1], [30, 1]], 7/3110400], [[[1, 3], [2, 2], [3, 3], [5, 1], [6, 2], [7, 1]], 1/1935360], [[[1, 3], [2, 2], [3, 3], [5, 1], [6, 2], [9, 1]], 5/2985984], [[[1, 3], [2, 2], [3, 3], [5, 1], [6, 2], [14, 1]], 1/1935360], [[[1, 3], [2, 2], [3, 3], [5, 1], [6, 2], [18, 1]], 7/4478976], [[[1, 3], [2, 2], [3, 3], [5, 1], [6, 3], [8, 1]], 1/4976640], [[[1, 3], [2, 2], [3, 3], [5, 1], [6, 3], [10, 1]], 11/4147200], [[[1, 3], [2, 2], [3, 3], [5, 1], [6, 3], [12, 1]], 133/268738560], [[[1, 3], [2, 2], [3, 3], [5, 1], [7, 1], [12, 1]], 1/322560], [[[1, 3], [2, 2], [3, 3], [5, 1], [8, 1], [9, 1]], 1/155520], [[[1, 3], [2, 2], [3, 3], [5, 1], [9, 1], [12, 1]], 5/497664], [[[1, 3], [2, 2], [3, 3], [5, 1], [12, 1], [14, 1]], 1/322560], [[[1, 3], [2, 2], [3, 3], [5, 1], [12, 1], [18, 1]], 7/3732480], [[[1, 3], [2, 2], [3, 3], [5, 2], [6, 1], [8, 1]], 31/447897600], [[[1, 3], [2, 2], [3, 3], [5, 2], [6, 1], [10, 1]], 1/111974400], [[[1, 3], [2, 2], [3, 3], [5, 2], [6, 1], [12, 1]], 53/268738560], [[[1, 3], [2, 2], [3, 3], [6, 1], [7, 1], [9, 1]], 1/373248], [[[1, 3], [2, 2], [3, 3], [6, 1], [7, 1], [18, 1]], 1/3359232], [[[1, 3], [2, 2], [3, 3], [6, 1], [8, 1], [10, 2]], 31/447897600], [[[1, 3], [2, 2], [3, 3], [6, 1], [8, 1], [12, 2]], 409/214990848], [[[1, 3], [2, 2], [3, 3], [6, 1], [8, 1], [15, 1]], 31/22394880], [[[1, 3], [2, 2], [3, 3], [6, 1], [8, 1], [20, 1]], 31/14929920], [[[1, 3], [2, 2], [3, 3], [6, 1], [8, 1], [24, 1]], 7807/17915904], [[[1, 3], [2, 2], [3, 3], [6, 1], [8, 1], [30, 1]], 31/22394880], [[[1, 3], [2, 2], [3, 3], [6, 1], [8, 2], [10, 1]], 1/35831808], [[[1, 3], [2, 2], [3, 3], [6, 1], [8, 2], [12, 1]], 1237/429981696], [[[1, 3], [2, 2], [3, 3], [6, 1], [9, 1], [14, 1]], 1/870912], [[[1, 3], [2, 2], [3, 3], [6, 1], [9, 1], [18, 1]], 4483/3779136], [[[1, 3], [2, 2], [3, 3], [6, 1], [10, 1], [12, 2]], 55/53747712], [[[1, 3], [2, 2], [3, 3], [6, 1], [10, 1], [15, 1]], 1/5598720], [[[1, 3], [2, 2], [3, 3], [6, 1], [10, 1], [20, 1]], 1/3732480], [[[1, 3], [2, 2], [3, 3], [6, 1], [10, 1], [24, 1]], 1/4478976], [[[1, 3], [2, 2], [3, 3], [6, 1], [10, 1], [30, 1]], 1/5598720], [[[1, 3], [2, 2], [3, 3], [6, 1], [10, 2], [12, 1]], 53/268738560], [[[1, 3], [2, 2], [3, 3], [6, 1], [12, 1], [15, 1]], 53/13436928], [[[1, 3], [2, 2], [3, 3], [6, 1], [12, 1], [20, 1]], 53/8957952], [[[1, 3], [2, 2], [3, 3], [6, 1], [12, 1], [24, 1]], 589/53747712], [[[1, 3], [2, 2], [3, 3], [6, 1], [12, 1], [30, 1]], 53/13436928], [[[1, 3], [2, 2], [3, 3], [6, 1], [14, 1], [18, 1]], 5/23514624], [[[1, 3], [2, 2], [3, 3], [6, 2], [7, 1], [8, 1]], 1/2322432], [[[1, 3], [2, 2], [3, 3], [6, 2], [7, 1], [12, 1]], 19/17915904], [[[1, 3], [2, 2], [3, 3], [6, 2], [8, 1], [9, 1]], 5/2654208], [[[1, 3], [2, 2], [3, 3], [6, 2], [8, 1], [14, 1]], 1/4644864], [[[1, 3], [2, 2], [3, 3], [6, 2], [8, 1], [18, 1]], 151/161243136], [[[1, 3], [2, 2], [3, 3], [6, 2], [9, 1], [10, 1]], 1/1658880], [[[1, 3], [2, 2], [3, 3], [6, 2], [9, 1], [12, 1]], 431/161243136], [[[1, 3], [2, 2], [3, 3], [6, 2], [10, 1], [18, 1]], 1/10077696], [[[1, 3], [2, 2], [3, 3], [6, 2], [12, 1], [14, 1]], 95/125411328], [[[1, 3], [2, 2], [3, 3], [6, 2], [12, 1], [18, 1]], 1307/483729408], [[[1, 3], [2, 2], [3, 3], [6, 3], [8, 1], [10, 1]], 1/9953280], [[[1, 3], [2, 2], [3, 3], [6, 3], [8, 1], [12, 1]], 133/214990848], [[[1, 3], [2, 2], [3, 3], [6, 3], [10, 1], [12, 1]], 19/53747712], [[[1, 3], [2, 2], [3, 3], [7, 1], [8, 1], [12, 1]], 1/387072], [[[1, 3], [2, 2], [3, 3], [8, 1], [9, 1], [12, 1]], 29/3981312], [[[1, 3], [2, 2], [3, 3], [8, 1], [12, 1], [14, 1]], 1/774144], [[[1, 3], [2, 2], [3, 3], [8, 1], [12, 1], [18, 1]], 1/995328], [[[1, 3], [2, 2], [3, 3], [9, 1], [10, 1], [12, 1]], 1/2488320], [[[1, 3], [2, 2], [3, 4], [4, 1], [5, 1], [6, 3]], 108811/32248627200], [[[1, 3], [2, 2], [3, 4], [4, 1], [5, 1], [7, 1]], 1/174182400], [[[1, 3], [2, 2], [3, 4], [4, 1], [5, 1], [9, 1]], 41/335923200], [[[1, 3], [2, 2], [3, 4], [4, 1], [5, 1], [14, 1]], 1/348364800], [[[1, 3], [2, 2], [3, 4], [4, 1], [5, 1], [18, 1]], 1/447897600], [[[1, 3], [2, 2], [3, 4], [4, 1], [5, 2], [6, 1]], 647/107495424000], [[[1, 3], [2, 2], [3, 4], [4, 1], [6, 1], [8, 2]], 169/6879707136], [[[1, 3], [2, 2], [3, 4], [4, 1], [6, 1], [10, 2]], 791/107495424000], [[[1, 3], [2, 2], [3, 4], [4, 1], [6, 1], [12, 2]], 73241/51597803520], [[[1, 3], [2, 2], [3, 4], [4, 1], [6, 1], [15, 1]], 647/5374771200], [[[1, 3], [2, 2], [3, 4], [4, 1], [6, 1], [16, 1]], 1/373248], [[[1, 3], [2, 2], [3, 4], [4, 1], [6, 1], [20, 1]], 647/3583180800], [[[1, 3], [2, 2], [3, 4], [4, 1], [6, 1], [24, 1]], 12167/4299816960], [[[1, 3], [2, 2], [3, 4], [4, 1], [6, 1], [30, 1]], 647/5374771200], [[[1, 3], [2, 2], [3, 4], [4, 1], [6, 2], [9, 1]], 19/35831808], [[[1, 3], [2, 2], [3, 4], [4, 1], [6, 2], [18, 1]], 647/9674588160], [[[1, 3], [2, 2], [3, 4], [4, 1], [6, 3], [8, 1]], 337787/154793410560], [[[1, 3], [2, 2], [3, 4], [4, 1], [6, 3], [10, 1]], 811/32248627200], [[[1, 3], [2, 2], [3, 4], [4, 1], [6, 3], [12, 1]], 926159/154793410560], [[[1, 3], [2, 2], [3, 4], [4, 1], [7, 1], [8, 1]], 11/557383680], [[[1, 3], [2, 2], [3, 4], [4, 1], [7, 1], [10, 1]], 1/174182400], [[[1, 3], [2, 2], [3, 4], [4, 1], [7, 1], [12, 1]], 1/104509440], [[[1, 3], [2, 2], [3, 4], [4, 1], [8, 1], [9, 1]], 451/1074954240], [[[1, 3], [2, 2], [3, 4], [4, 1], [8, 1], [14, 1]], 1/92897280], [[[1, 3], [2, 2], [3, 4], [4, 1], [8, 1], [18, 1]], 17/2149908480], [[[1, 3], [2, 2], [3, 4], [4, 1], [9, 1], [10, 1]], 41/335923200], [[[1, 3], [2, 2], [3, 4], [4, 1], [9, 1], [12, 1]], 569/806215680], [[[1, 3], [2, 2], [3, 4], [4, 1], [10, 1], [14, 1]], 1/348364800], [[[1, 3], [2, 2], [3, 4], [4, 1], [10, 1], [18, 1]], 1/447897600], [[[1, 3], [2, 2], [3, 4], [4, 1], [12, 1], [14, 1]], 1/209018880], [[[1, 3], [2, 2], [3, 4], [4, 1], [12, 1], [18, 1]], 1/268738560], [[[1, 3], [2, 2], [3, 4], [4, 2], [5, 1], [6, 2]], 1/119439360], [[[1, 3], [2, 2], [3, 4], [4, 2], [5, 1], [8, 1]], 11/1592524800], [[[1, 3], [2, 2], [3, 4], [4, 2], [5, 1], [10, 1]], 11/497664000], [[[1, 3], [2, 2], [3, 4], [4, 2], [5, 1], [12, 1]], 853/5374771200], [[[1, 3], [2, 2], [3, 4], [4, 2], [6, 1], [7, 1]], 1/5016453120], [[[1, 3], [2, 2], [3, 4], [4, 2], [6, 1], [9, 1]], 1481/19349176320], [[[1, 3], [2, 2], [3, 4], [4, 2], [6, 1], [18, 1]], 349/51597803520], [[[1, 3], [2, 2], [3, 4], [4, 2], [6, 2], [8, 1]], 1/95551488], [[[1, 3], [2, 2], [3, 4], [4, 2], [6, 2], [12, 1]], 820361/165112971264], [[[1, 3], [2, 2], [3, 4], [4, 2], [8, 1], [10, 1]], 11/1592524800], [[[1, 3], [2, 2], [3, 4], [4, 2], [8, 1], [12, 1]], 143/859963392], [[[1, 3], [2, 2], [3, 4], [4, 2], [10, 1], [12, 1]], 7/1791590400], [[[1, 3], [2, 2], [3, 4], [4, 3], [6, 1], [8, 1]], 5123/22932357120], [[[1, 3], [2, 2], [3, 4], [4, 3], [6, 1], [10, 1]], 1/14332723200], [[[1, 3], [2, 2], [3, 4], [4, 3], [6, 1], [12, 1]], 20495/20639121408], [[[1, 3], [2, 2], [3, 4], [5, 1], [6, 1], [9, 1]], 7/5598720], [[[1, 3], [2, 2], [3, 4], [5, 1], [6, 1], [18, 1]], 113/806215680], [[[1, 3], [2, 2], [3, 4], [5, 1], [6, 2], [8, 1]], 1/4976640], [[[1, 3], [2, 2], [3, 4], [5, 1], [6, 2], [12, 1]], 2219/4299816960], [[[1, 3], [2, 2], [3, 4], [5, 1], [8, 1], [12, 1]], 1/829440], [[[1, 3], [2, 2], [3, 4], [6, 1], [7, 1], [8, 1]], 1/209018880], [[[1, 3], [2, 2], [3, 4], [6, 1], [7, 1], [10, 1]], 1/174182400], [[[1, 3], [2, 2], [3, 4], [6, 1], [7, 1], [12, 1]], 91/179159040], [[[1, 3], [2, 2], [3, 4], [6, 1], [8, 1], [9, 1]], 311/403107840], [[[1, 3], [2, 2], [3, 4], [6, 1], [8, 1], [14, 1]], 1/418037760], [[[1, 3], [2, 2], [3, 4], [6, 1], [8, 1], [18, 1]], 659/6449725440], [[[1, 3], [2, 2], [3, 4], [6, 1], [9, 1], [10, 1]], 41/403107840], [[[1, 3], [2, 2], [3, 4], [6, 1], [9, 1], [12, 1]], 11783/4837294080], [[[1, 3], [2, 2], [3, 4], [6, 1], [10, 1], [14, 1]], 1/522547200], [[[1, 3], [2, 2], [3, 4], [6, 1], [10, 1], [18, 1]], 1/447897600], [[[1, 3], [2, 2], [3, 4], [6, 1], [12, 1], [14, 1]], 13/59719680], [[[1, 3], [2, 2], [3, 4], [6, 1], [12, 1], [18, 1]], 773/1612431360], [[[1, 3], [2, 2], [3, 4], [6, 2], [8, 1], [10, 1]], 1/895795200], [[[1, 3], [2, 2], [3, 4], [6, 2], [8, 1], [12, 1]], 3433/6879707136], [[[1, 3], [2, 2], [3, 4], [6, 2], [10, 1], [12, 1]], 91/796262400], [[[1, 3], [2, 2], [3, 5], [4, 1], [5, 1], [6, 2]], 11/2687385600], [[[1, 3], [2, 2], [3, 5], [4, 1], [5, 1], [8, 1]], 13/1194393600], [[[1, 3], [2, 2], [3, 5], [4, 1], [5, 1], [10, 1]], 1/373248000], [[[1, 3], [2, 2], [3, 5], [4, 1], [5, 1], [12, 1]], 13/447897600], [[[1, 3], [2, 2], [3, 5], [4, 1], [6, 1], [7, 1]], 1/313528320], [[[1, 3], [2, 2], [3, 5], [4, 1], [6, 1], [9, 1]], 221/3224862720], [[[1, 3], [2, 2], [3, 5], [4, 1], [6, 1], [14, 1]], 1/627056640], [[[1, 3], [2, 2], [3, 5], [4, 1], [6, 1], [18, 1]], 7/3224862720], [[[1, 3], [2, 2], [3, 5], [4, 1], [6, 2], [8, 1]], 43/2866544640], [[[1, 3], [2, 2], [3, 5], [4, 1], [6, 2], [10, 1]], 13/2687385600], [[[1, 3], [2, 2], [3, 5], [4, 1], [6, 2], [12, 1]], 28579/51597803520], [[[1, 3], [2, 2], [3, 5], [4, 1], [8, 1], [10, 1]], 1/597196800], [[[1, 3], [2, 2], [3, 5], [4, 1], [8, 1], [12, 1]], 25/286654464], [[[1, 3], [2, 2], [3, 5], [4, 1], [10, 1], [12, 1]], 11/447897600], [[[1, 3], [2, 2], [3, 5], [4, 2], [5, 1], [6, 1]], 13/10749542400], [[[1, 3], [2, 2], [3, 5], [4, 2], [6, 1], [8, 1]], 89/4299816960], [[[1, 3], [2, 2], [3, 5], [4, 2], [6, 1], [10, 1]], 7/5374771200], [[[1, 3], [2, 2], [3, 5], [4, 2], [6, 1], [12, 1]], 1177/15479341056], [[[1, 3], [2, 2], [3, 5], [5, 1], [6, 1], [8, 1]], 1/447897600], [[[1, 3], [2, 2], [3, 5], [5, 1], [6, 1], [10, 1]], 11/373248000], [[[1, 3], [2, 2], [3, 5], [5, 1], [6, 1], [12, 1]], 637/2687385600], [[[1, 3], [2, 2], [3, 5], [6, 1], [8, 1], [10, 1]], 1/895795200], [[[1, 3], [2, 2], [3, 5], [6, 1], [8, 1], [12, 1]], 317/2149908480], [[[1, 3], [2, 2], [3, 5], [6, 1], [10, 1], [12, 1]], 11/537477120], [[[1, 3], [2, 2], [3, 6], [4, 1], [5, 1], [6, 1]], 19/10749542400], [[[1, 3], [2, 2], [3, 6], [4, 1], [6, 1], [8, 1]], 11/5733089280], [[[1, 3], [2, 2], [3, 6], [4, 1], [6, 1], [10, 1]], 1/3583180800], [[[1, 3], [2, 2], [3, 6], [4, 1], [6, 1], [12, 1]], 49/3439853568], [[[1, 3], [2, 2], [4, 1], [5, 1], [6, 1], [8, 3]], 1/737280], [[[1, 3], [2, 2], [4, 1], [5, 1], [6, 1], [10, 3]], 1/2880000], [[[1, 3], [2, 2], [4, 1], [5, 1], [6, 1], [12, 3]], 1/1105920], [[[1, 3], [2, 2], [4, 1], [5, 1], [6, 1], [18, 2]], 1/155520], [[[1, 3], [2, 2], [4, 1], [5, 1], [6, 3], [8, 2]], 1/39813120], [[[1, 3], [2, 2], [4, 1], [5, 1], [6, 3], [10, 2]], 1/124416000], [[[1, 3], [2, 2], [4, 1], [5, 1], [6, 3], [12, 2]], 11/11943936], [[[1, 3], [2, 2], [4, 1], [5, 1], [6, 3], [15, 1]], 1/6220800], [[[1, 3], [2, 2], [4, 1], [5, 1], [6, 3], [20, 1]], 1/4147200], [[[1, 3], [2, 2], [4, 1], [5, 1], [6, 3], [24, 1]], 1/4976640], [[[1, 3], [2, 2], [4, 1], [5, 1], [6, 3], [30, 1]], 1/6220800], [[[1, 3], [2, 2], [4, 1], [5, 1], [6, 4], [7, 1]], 1/174182400], [[[1, 3], [2, 2], [4, 1], [5, 1], [6, 4], [9, 1]], 1/335923200], [[[1, 3], [2, 2], [4, 1], [5, 1], [6, 4], [14, 1]], 1/348364800], [[[1, 3], [2, 2], [4, 1], [5, 1], [6, 4], [18, 1]], 41/447897600], [[[1, 3], [2, 2], [4, 1], [5, 1], [6, 5], [8, 1]], 1/597196800], [[[1, 3], [2, 2], [4, 1], [5, 1], [6, 5], [10, 1]], 1/746496000], [[[1, 3], [2, 2], [4, 1], [5, 1], [6, 5], [12, 1]], 11/597196800], [[[1, 3], [2, 2], [4, 1], [5, 1], [7, 1], [8, 2]], 1/215040], [[[1, 3], [2, 2], [4, 1], [5, 1], [7, 1], [10, 2]], 1/672000], [[[1, 3], [2, 2], [4, 1], [5, 1], [7, 1], [12, 2]], 1/322560], [[[1, 3], [2, 2], [4, 1], [5, 1], [7, 1], [15, 1]], 1/33600], [[[1, 3], [2, 2], [4, 1], [5, 1], [7, 1], [20, 1]], 1/22400], [[[1, 3], [2, 2], [4, 1], [5, 1], [7, 1], [24, 1]], 1/26880], [[[1, 3], [2, 2], [4, 1], [5, 1], [7, 1], [30, 1]], 1/33600], [[[1, 3], [2, 2], [4, 1], [5, 1], [8, 2], [9, 1]], 1/414720], [[[1, 3], [2, 2], [4, 1], [5, 1], [8, 2], [14, 1]], 1/430080], [[[1, 3], [2, 2], [4, 1], [5, 1], [8, 2], [18, 1]], 1/552960], [[[1, 3], [2, 2], [4, 1], [5, 1], [9, 1], [10, 2]], 1/1296000], [[[1, 3], [2, 2], [4, 1], [5, 1], [9, 1], [12, 2]], 1/622080], [[[1, 3], [2, 2], [4, 1], [5, 1], [9, 1], [15, 1]], 1/64800], [[[1, 3], [2, 2], [4, 1], [5, 1], [9, 1], [20, 1]], 1/43200], [[[1, 3], [2, 2], [4, 1], [5, 1], [9, 1], [24, 1]], 1/51840], [[[1, 3], [2, 2], [4, 1], [5, 1], [9, 1], [30, 1]], 1/64800], [[[1, 3], [2, 2], [4, 1], [5, 1], [10, 2], [14, 1]], 1/1344000], [[[1, 3], [2, 2], [4, 1], [5, 1], [10, 2], [18, 1]], 1/1728000], [[[1, 3], [2, 2], [4, 1], [5, 1], [12, 2], [14, 1]], 1/645120], [[[1, 3], [2, 2], [4, 1], [5, 1], [12, 2], [18, 1]], 1/829440], [[[1, 3], [2, 2], [4, 1], [5, 1], [14, 1], [15, 1]], 1/67200], [[[1, 3], [2, 2], [4, 1], [5, 1], [14, 1], [20, 1]], 1/44800], [[[1, 3], [2, 2], [4, 1], [5, 1], [14, 1], [24, 1]], 1/53760], [[[1, 3], [2, 2], [4, 1], [5, 1], [14, 1], [30, 1]], 1/67200], [[[1, 3], [2, 2], [4, 1], [5, 1], [15, 1], [18, 1]], 1/86400], [[[1, 3], [2, 2], [4, 1], [5, 1], [18, 1], [20, 1]], 1/57600], [[[1, 3], [2, 2], [4, 1], [5, 1], [18, 1], [24, 1]], 1/69120], [[[1, 3], [2, 2], [4, 1], [5, 1], [18, 1], [30, 1]], 1/86400], [[[1, 3], [2, 2], [4, 1], [5, 2], [6, 1], [8, 2]], 41/26542080], [[[1, 3], [2, 2], [4, 1], [5, 2], [6, 1], [10, 2]], 2251/414720000], [[[1, 3], [2, 2], [4, 1], [5, 2], [6, 1], [12, 2]], 151/199065600], [[[1, 3], [2, 2], [4, 1], [5, 2], [6, 1], [15, 1]], 7/20736000], [[[1, 3], [2, 2], [4, 1], [5, 2], [6, 1], [20, 1]], 7/13824000], [[[1, 3], [2, 2], [4, 1], [5, 2], [6, 1], [24, 1]], 7/16588800], [[[1, 3], [2, 2], [4, 1], [5, 2], [6, 1], [30, 1]], 7/20736000], [[[1, 3], [2, 2], [4, 1], [5, 2], [6, 2], [18, 1]], 7/37324800], [[[1, 3], [2, 2], [4, 1], [5, 2], [6, 3], [8, 1]], 17/597196800], [[[1, 3], [2, 2], [4, 1], [5, 2], [6, 3], [10, 1]], 1/124416000], [[[1, 3], [2, 2], [4, 1], [5, 2], [6, 3], [12, 1]], 29/597196800], [[[1, 3], [2, 2], [4, 1], [5, 2], [7, 1], [8, 1]], 11/2150400], [[[1, 3], [2, 2], [4, 1], [5, 2], [7, 1], [10, 1]], 1/672000], [[[1, 3], [2, 2], [4, 1], [5, 2], [7, 1], [12, 1]], 1/403200], [[[1, 3], [2, 2], [4, 1], [5, 2], [8, 1], [9, 1]], 11/4147200], [[[1, 3], [2, 2], [4, 1], [5, 2], [8, 1], [14, 1]], 1/358400], [[[1, 3], [2, 2], [4, 1], [5, 2], [8, 1], [18, 1]], 17/8294400], [[[1, 3], [2, 2], [4, 1], [5, 2], [9, 1], [10, 1]], 1/1296000], [[[1, 3], [2, 2], [4, 1], [5, 2], [9, 1], [12, 1]], 1/777600], [[[1, 3], [2, 2], [4, 1], [5, 2], [10, 1], [14, 1]], 1/1344000], [[[1, 3], [2, 2], [4, 1], [5, 2], [10, 1], [18, 1]], 1/1728000], [[[1, 3], [2, 2], [4, 1], [5, 2], [12, 1], [14, 1]], 1/806400], [[[1, 3], [2, 2], [4, 1], [5, 2], [12, 1], [18, 1]], 1/1036800], [[[1, 3], [2, 2], [4, 1], [5, 3], [6, 1], [8, 1]], 1/2304000], [[[1, 3], [2, 2], [4, 1], [5, 3], [6, 1], [10, 1]], 1/2880000], [[[1, 3], [2, 2], [4, 1], [5, 3], [6, 1], [12, 1]], 1/2304000], [[[1, 3], [2, 2], [4, 1], [6, 1], [8, 1], [10, 3]], 1/576000], [[[1, 3], [2, 2], [4, 1], [6, 1], [8, 1], [12, 3]], 107/15925248], [[[1, 3], [2, 2], [4, 1], [6, 1], [8, 1], [18, 2]], 17/746496], [[[1, 3], [2, 2], [4, 1], [6, 1], [8, 1], [28, 1]], 1/5376], [[[1, 3], [2, 2], [4, 1], [6, 1], [8, 1], [36, 1]], 1/6912], [[[1, 3], [2, 2], [4, 1], [6, 1], [8, 2], [10, 2]], 349/132710400], [[[1, 3], [2, 2], [4, 1], [6, 1], [8, 2], [12, 2]], 349/63700992], [[[1, 3], [2, 2], [4, 1], [6, 1], [8, 2], [15, 1]], 41/1327104], [[[1, 3], [2, 2], [4, 1], [6, 1], [8, 2], [16, 1]], 5/12288], [[[1, 3], [2, 2], [4, 1], [6, 1], [8, 2], [20, 1]], 781/4423680], [[[1, 3], [2, 2], [4, 1], [6, 1], [8, 2], [24, 1]], 527/1769472], [[[1, 3], [2, 2], [4, 1], [6, 1], [8, 2], [30, 1]], 41/1327104], [[[1, 3], [2, 2], [4, 1], [6, 1], [8, 3], [10, 1]], 1/92160], [[[1, 3], [2, 2], [4, 1], [6, 1], [8, 3], [12, 1]], 49/3538944], [[[1, 3], [2, 2], [4, 1], [6, 1], [10, 1], [12, 3]], 37/9953280], [[[1, 3], [2, 2], [4, 1], [6, 1], [10, 1], [18, 2]], 1/155520], [[[1, 3], [2, 2], [4, 1], [6, 1], [10, 1], [28, 1]], 1/6720], [[[1, 3], [2, 2], [4, 1], [6, 1], [10, 1], [36, 1]], 1/8640], [[[1, 3], [2, 2], [4, 1], [6, 1], [10, 2], [12, 2]], 59/39813120], [[[1, 3], [2, 2], [4, 1], [6, 1], [10, 2], [15, 1]], 151/20736000], [[[1, 3], [2, 2], [4, 1], [6, 1], [10, 2], [20, 1]], 151/13824000], [[[1, 3], [2, 2], [4, 1], [6, 1], [10, 2], [24, 1]], 151/16588800], [[[1, 3], [2, 2], [4, 1], [6, 1], [10, 2], [30, 1]], 151/20736000], [[[1, 3], [2, 2], [4, 1], [6, 1], [10, 3], [12, 1]], 7/6912000], [[[1, 3], [2, 2], [4, 1], [6, 1], [12, 1], [18, 2]], 1/93312], [[[1, 3], [2, 2], [4, 1], [6, 1], [12, 1], [28, 1]], 1/5376], [[[1, 3], [2, 2], [4, 1], [6, 1], [12, 1], [36, 1]], 25/124416], [[[1, 3], [2, 2], [4, 1], [6, 1], [12, 2], [15, 1]], 151/9953280], [[[1, 3], [2, 2], [4, 1], [6, 1], [12, 2], [16, 1]], 1/9216], [[[1, 3], [2, 2], [4, 1], [6, 1], [12, 2], [20, 1]], 727/6635520], [[[1, 3], [2, 2], [4, 1], [6, 1], [12, 2], [24, 1]], 1099/7962624], [[[1, 3], [2, 2], [4, 1], [6, 1], [12, 2], [30, 1]], 151/9953280], [[[1, 3], [2, 2], [4, 1], [6, 1], [15, 1], [20, 1]], 7/691200], [[[1, 3], [2, 2], [4, 1], [6, 1], [15, 1], [24, 1]], 7/829440], [[[1, 3], [2, 2], [4, 1], [6, 1], [15, 1], [30, 1]], 7/64800], [[[1, 3], [2, 2], [4, 1], [6, 1], [20, 1], [24, 1]], 7/552960], [[[1, 3], [2, 2], [4, 1], [6, 1], [20, 1], [30, 1]], 7/691200], [[[1, 3], [2, 2], [4, 1], [6, 1], [24, 1], [30, 1]], 7/829440], [[[1, 3], [2, 2], [4, 1], [6, 2], [7, 1], [12, 2]], 1/193536], [[[1, 3], [2, 2], [4, 1], [6, 2], [8, 2], [18, 1]], 205/11943936], [[[1, 3], [2, 2], [4, 1], [6, 2], [9, 1], [12, 2]], 1/373248], [[[1, 3], [2, 2], [4, 1], [6, 2], [10, 2], [18, 1]], 151/37324800], [[[1, 3], [2, 2], [4, 1], [6, 2], [12, 2], [14, 1]], 1/387072], [[[1, 3], [2, 2], [4, 1], [6, 2], [12, 2], [18, 1]], 187/17915904], [[[1, 3], [2, 2], [4, 1], [6, 2], [15, 1], [18, 1]], 7/1866240], [[[1, 3], [2, 2], [4, 1], [6, 2], [18, 1], [20, 1]], 7/1244160], [[[1, 3], [2, 2], [4, 1], [6, 2], [18, 1], [24, 1]], 7/1492992], [[[1, 3], [2, 2], [4, 1], [6, 2], [18, 1], [30, 1]], 7/1866240], [[[1, 3], [2, 2], [4, 1], [6, 3], [7, 1], [14, 1]], 1/290304], [[[1, 3], [2, 2], [4, 1], [6, 3], [8, 1], [10, 2]], 17/597196800], [[[1, 3], [2, 2], [4, 1], [6, 3], [8, 1], [12, 2]], 1367/286654464], [[[1, 3], [2, 2], [4, 1], [6, 3], [8, 1], [15, 1]], 17/29859840], [[[1, 3], [2, 2], [4, 1], [6, 3], [8, 1], [16, 1]], 5/663552], [[[1, 3], [2, 2], [4, 1], [6, 3], [8, 1], [20, 1]], 13/3981312], [[[1, 3], [2, 2], [4, 1], [6, 3], [8, 1], [24, 1]], 113/23887872], [[[1, 3], [2, 2], [4, 1], [6, 3], [8, 1], [30, 1]], 17/29859840], [[[1, 3], [2, 2], [4, 1], [6, 3], [8, 2], [10, 1]], 1/39813120], [[[1, 3], [2, 2], [4, 1], [6, 3], [8, 2], [12, 1]], 623/191102976], [[[1, 3], [2, 2], [4, 1], [6, 3], [9, 1], [18, 1]], 1/373248], [[[1, 3], [2, 2], [4, 1], [6, 3], [10, 1], [12, 2]], 127/59719680], [[[1, 3], [2, 2], [4, 1], [6, 3], [10, 1], [15, 1]], 1/6220800], [[[1, 3], [2, 2], [4, 1], [6, 3], [10, 1], [20, 1]], 1/4147200], [[[1, 3], [2, 2], [4, 1], [6, 3], [10, 1], [24, 1]], 1/4976640], [[[1, 3], [2, 2], [4, 1], [6, 3], [10, 1], [30, 1]], 1/6220800], [[[1, 3], [2, 2], [4, 1], [6, 3], [10, 2], [12, 1]], 461/597196800], [[[1, 3], [2, 2], [4, 1], [6, 3], [12, 1], [15, 1]], 29/29859840], [[[1, 3], [2, 2], [4, 1], [6, 3], [12, 1], [16, 1]], 1/497664], [[[1, 3], [2, 2], [4, 1], [6, 3], [12, 1], [20, 1]], 61/19906560], [[[1, 3], [2, 2], [4, 1], [6, 3], [12, 1], [24, 1]], 77/23887872], [[[1, 3], [2, 2], [4, 1], [6, 3], [12, 1], [30, 1]], 29/29859840], [[[1, 3], [2, 2], [4, 1], [6, 4], [7, 1], [8, 1]], 11/557383680], [[[1, 3], [2, 2], [4, 1], [6, 4], [7, 1], [10, 1]], 1/174182400], [[[1, 3], [2, 2], [4, 1], [6, 4], [7, 1], [12, 1]], 1/104509440], [[[1, 3], [2, 2], [4, 1], [6, 4], [8, 1], [9, 1]], 11/1074954240], [[[1, 3], [2, 2], [4, 1], [6, 4], [8, 1], [14, 1]], 1/92897280], [[[1, 3], [2, 2], [4, 1], [6, 4], [8, 1], [18, 1]], 697/2149908480], [[[1, 3], [2, 2], [4, 1], [6, 4], [9, 1], [10, 1]], 1/335923200], [[[1, 3], [2, 2], [4, 1], [6, 4], [9, 1], [12, 1]], 1/201553920], [[[1, 3], [2, 2], [4, 1], [6, 4], [10, 1], [14, 1]], 1/348364800], [[[1, 3], [2, 2], [4, 1], [6, 4], [10, 1], [18, 1]], 41/447897600], [[[1, 3], [2, 2], [4, 1], [6, 4], [12, 1], [14, 1]], 1/209018880], [[[1, 3], [2, 2], [4, 1], [6, 4], [12, 1], [18, 1]], 73/134369280], [[[1, 3], [2, 2], [4, 1], [6, 5], [8, 1], [10, 1]], 1/149299200], [[[1, 3], [2, 2], [4, 1], [6, 5], [8, 1], [12, 1]], 13/191102976], [[[1, 3], [2, 2], [4, 1], [6, 5], [10, 1], [12, 1]], 37/1791590400], [[[1, 3], [2, 2], [4, 1], [7, 1], [8, 1], [10, 2]], 11/2150400], [[[1, 3], [2, 2], [4, 1], [7, 1], [8, 1], [12, 2]], 11/1032192], [[[1, 3], [2, 2], [4, 1], [7, 1], [8, 1], [15, 1]], 11/107520], [[[1, 3], [2, 2], [4, 1], [7, 1], [8, 1], [16, 1]], 5/3584], [[[1, 3], [2, 2], [4, 1], [7, 1], [8, 1], [20, 1]], 43/71680], [[[1, 3], [2, 2], [4, 1], [7, 1], [8, 1], [24, 1]], 25/28672], [[[1, 3], [2, 2], [4, 1], [7, 1], [8, 1], [30, 1]], 11/107520], [[[1, 3], [2, 2], [4, 1], [7, 1], [8, 2], [10, 1]], 1/215040], [[[1, 3], [2, 2], [4, 1], [7, 1], [8, 2], [12, 1]], 1/129024], [[[1, 3], [2, 2], [4, 1], [7, 1], [9, 1], [14, 1]], 1/3024], [[[1, 3], [2, 2], [4, 1], [7, 1], [9, 1], [18, 1]], 1/2016], [[[1, 3], [2, 2], [4, 1], [7, 1], [10, 1], [12, 2]], 1/322560], [[[1, 3], [2, 2], [4, 1], [7, 1], [10, 1], [15, 1]], 1/33600], [[[1, 3], [2, 2], [4, 1], [7, 1], [10, 1], [20, 1]], 1/22400], [[[1, 3], [2, 2], [4, 1], [7, 1], [10, 1], [24, 1]], 1/26880], [[[1, 3], [2, 2], [4, 1], [7, 1], [10, 1], [30, 1]], 1/33600], [[[1, 3], [2, 2], [4, 1], [7, 1], [10, 2], [12, 1]], 1/403200], [[[1, 3], [2, 2], [4, 1], [7, 1], [12, 1], [15, 1]], 1/20160], [[[1, 3], [2, 2], [4, 1], [7, 1], [12, 1], [16, 1]], 1/2688], [[[1, 3], [2, 2], [4, 1], [7, 1], [12, 1], [20, 1]], 1/2688], [[[1, 3], [2, 2], [4, 1], [7, 1], [12, 1], [24, 1]], 1/2304], [[[1, 3], [2, 2], [4, 1], [7, 1], [12, 1], [30, 1]], 1/20160], [[[1, 3], [2, 2], [4, 1], [7, 1], [14, 1], [18, 1]], 1/4032], [[[1, 3], [2, 2], [4, 1], [8, 1], [9, 1], [10, 2]], 11/4147200], [[[1, 3], [2, 2], [4, 1], [8, 1], [9, 1], [12, 2]], 11/1990656], [[[1, 3], [2, 2], [4, 1], [8, 1], [9, 1], [15, 1]], 11/207360], [[[1, 3], [2, 2], [4, 1], [8, 1], [9, 1], [16, 1]], 5/6912], [[[1, 3], [2, 2], [4, 1], [8, 1], [9, 1], [20, 1]], 43/138240], [[[1, 3], [2, 2], [4, 1], [8, 1], [9, 1], [24, 1]], 25/55296], [[[1, 3], [2, 2], [4, 1], [8, 1], [9, 1], [30, 1]], 11/207360], [[[1, 3], [2, 2], [4, 1], [8, 1], [10, 2], [14, 1]], 1/358400], [[[1, 3], [2, 2], [4, 1], [8, 1], [10, 2], [18, 1]], 17/8294400], [[[1, 3], [2, 2], [4, 1], [8, 1], [12, 2], [14, 1]], 1/172032], [[[1, 3], [2, 2], [4, 1], [8, 1], [12, 2], [18, 1]], 17/3981312], [[[1, 3], [2, 2], [4, 1], [8, 1], [14, 1], [15, 1]], 1/17920], [[[1, 3], [2, 2], [4, 1], [8, 1], [14, 1], [16, 1]], 5/7168], [[[1, 3], [2, 2], [4, 1], [8, 1], [14, 1], [20, 1]], 11/35840], [[[1, 3], [2, 2], [4, 1], [8, 1], [14, 1], [24, 1]], 19/43008], [[[1, 3], [2, 2], [4, 1], [8, 1], [14, 1], [30, 1]], 1/17920], [[[1, 3], [2, 2], [4, 1], [8, 1], [15, 1], [18, 1]], 17/414720], [[[1, 3], [2, 2], [4, 1], [8, 1], [16, 1], [18, 1]], 5/9216], [[[1, 3], [2, 2], [4, 1], [8, 1], [18, 1], [20, 1]], 13/55296], [[[1, 3], [2, 2], [4, 1], [8, 1], [18, 1], [24, 1]], 113/331776], [[[1, 3], [2, 2], [4, 1], [8, 1], [18, 1], [30, 1]], 17/414720], [[[1, 3], [2, 2], [4, 1], [8, 2], [9, 1], [10, 1]], 1/414720], [[[1, 3], [2, 2], [4, 1], [8, 2], [9, 1], [12, 1]], 1/248832], [[[1, 3], [2, 2], [4, 1], [8, 2], [10, 1], [14, 1]], 1/430080], [[[1, 3], [2, 2], [4, 1], [8, 2], [10, 1], [18, 1]], 1/552960], [[[1, 3], [2, 2], [4, 1], [8, 2], [12, 1], [14, 1]], 1/258048], [[[1, 3], [2, 2], [4, 1], [8, 2], [12, 1], [18, 1]], 1/331776], [[[1, 3], [2, 2], [4, 1], [9, 1], [10, 1], [12, 2]], 1/622080], [[[1, 3], [2, 2], [4, 1], [9, 1], [10, 1], [15, 1]], 1/64800], [[[1, 3], [2, 2], [4, 1], [9, 1], [10, 1], [20, 1]], 1/43200], [[[1, 3], [2, 2], [4, 1], [9, 1], [10, 1], [24, 1]], 1/51840], [[[1, 3], [2, 2], [4, 1], [9, 1], [10, 1], [30, 1]], 1/64800], [[[1, 3], [2, 2], [4, 1], [9, 1], [10, 2], [12, 1]], 1/777600], [[[1, 3], [2, 2], [4, 1], [9, 1], [12, 1], [15, 1]], 1/38880], [[[1, 3], [2, 2], [4, 1], [9, 1], [12, 1], [16, 1]], 1/5184], [[[1, 3], [2, 2], [4, 1], [9, 1], [12, 1], [20, 1]], 1/5184], [[[1, 3], [2, 2], [4, 1], [9, 1], [12, 1], [24, 1]], 7/31104], [[[1, 3], [2, 2], [4, 1], [9, 1], [12, 1], [30, 1]], 1/38880], [[[1, 3], [2, 2], [4, 1], [9, 1], [14, 1], [18, 1]], 1/4032], [[[1, 3], [2, 2], [4, 1], [10, 1], [12, 2], [14, 1]], 1/645120], [[[1, 3], [2, 2], [4, 1], [10, 1], [12, 2], [18, 1]], 1/829440], [[[1, 3], [2, 2], [4, 1], [10, 1], [14, 1], [15, 1]], 1/67200], [[[1, 3], [2, 2], [4, 1], [10, 1], [14, 1], [20, 1]], 1/44800], [[[1, 3], [2, 2], [4, 1], [10, 1], [14, 1], [24, 1]], 1/53760], [[[1, 3], [2, 2], [4, 1], [10, 1], [14, 1], [30, 1]], 1/67200], [[[1, 3], [2, 2], [4, 1], [10, 1], [15, 1], [18, 1]], 1/86400], [[[1, 3], [2, 2], [4, 1], [10, 1], [18, 1], [20, 1]], 1/57600], [[[1, 3], [2, 2], [4, 1], [10, 1], [18, 1], [24, 1]], 1/69120], [[[1, 3], [2, 2], [4, 1], [10, 1], [18, 1], [30, 1]], 1/86400], [[[1, 3], [2, 2], [4, 1], [10, 2], [12, 1], [14, 1]], 1/806400], [[[1, 3], [2, 2], [4, 1], [10, 2], [12, 1], [18, 1]], 1/1036800], [[[1, 3], [2, 2], [4, 1], [12, 1], [14, 1], [15, 1]], 1/40320], [[[1, 3], [2, 2], [4, 1], [12, 1], [14, 1], [16, 1]], 1/5376], [[[1, 3], [2, 2], [4, 1], [12, 1], [14, 1], [20, 1]], 1/5376], [[[1, 3], [2, 2], [4, 1], [12, 1], [14, 1], [24, 1]], 1/4608], [[[1, 3], [2, 2], [4, 1], [12, 1], [14, 1], [30, 1]], 1/40320], [[[1, 3], [2, 2], [4, 1], [12, 1], [15, 1], [18, 1]], 1/51840], [[[1, 3], [2, 2], [4, 1], [12, 1], [16, 1], [18, 1]], 1/6912], [[[1, 3], [2, 2], [4, 1], [12, 1], [18, 1], [20, 1]], 1/6912], [[[1, 3], [2, 2], [4, 1], [12, 1], [18, 1], [24, 1]], 7/41472], [[[1, 3], [2, 2], [4, 1], [12, 1], [18, 1], [30, 1]], 1/51840], [[[1, 3], [2, 2], [4, 2], [5, 1], [6, 2], [12, 2]], 23/9953280], [[[1, 3], [2, 2], [4, 2], [5, 1], [6, 4], [8, 1]], 11/1592524800], [[[1, 3], [2, 2], [4, 2], [5, 1], [6, 4], [10, 1]], 11/497664000], [[[1, 3], [2, 2], [4, 2], [5, 1], [6, 4], [12, 1]], 23/5374771200], [[[1, 3], [2, 2], [4, 2], [5, 1], [7, 1], [14, 1]], 1/4480], [[[1, 3], [2, 2], [4, 2], [5, 1], [8, 1], [10, 2]], 971/6144000], [[[1, 3], [2, 2], [4, 2], [5, 1], [8, 1], [12, 2]], 11/2949120], [[[1, 3], [2, 2], [4, 2], [5, 1], [8, 1], [15, 1]], 11/307200], [[[1, 3], [2, 2], [4, 2], [5, 1], [8, 1], [16, 1]], 13/24576], [[[1, 3], [2, 2], [4, 2], [5, 1], [8, 1], [20, 1]], 43/204800], [[[1, 3], [2, 2], [4, 2], [5, 1], [8, 1], [24, 1]], 5/16384], [[[1, 3], [2, 2], [4, 2], [5, 1], [8, 1], [30, 1]], 11/307200], [[[1, 3], [2, 2], [4, 2], [5, 1], [8, 2], [10, 1]], 341/614400], [[[1, 3], [2, 2], [4, 2], [5, 1], [8, 2], [12, 1]], 83/6635520], [[[1, 3], [2, 2], [4, 2], [5, 1], [9, 1], [18, 1]], 1/5760], [[[1, 3], [2, 2], [4, 2], [5, 1], [10, 1], [12, 2]], 11/921600], [[[1, 3], [2, 2], [4, 2], [5, 1], [10, 1], [15, 1]], 11/96000], [[[1, 3], [2, 2], [4, 2], [5, 1], [10, 1], [20, 1]], 11/64000], [[[1, 3], [2, 2], [4, 2], [5, 1], [10, 1], [24, 1]], 11/76800], [[[1, 3], [2, 2], [4, 2], [5, 1], [10, 1], [30, 1]], 11/96000], [[[1, 3], [2, 2], [4, 2], [5, 1], [10, 2], [12, 1]], 23/20736000], [[[1, 3], [2, 2], [4, 2], [5, 1], [12, 1], [15, 1]], 23/1036800], [[[1, 3], [2, 2], [4, 2], [5, 1], [12, 1], [16, 1]], 1/7680], [[[1, 3], [2, 2], [4, 2], [5, 1], [12, 1], [20, 1]], 31/138240], [[[1, 3], [2, 2], [4, 2], [5, 1], [12, 1], [24, 1]], 161/829440], [[[1, 3], [2, 2], [4, 2], [5, 1], [12, 1], [30, 1]], 23/1036800], [[[1, 3], [2, 2], [4, 2], [5, 2], [6, 1], [7, 1]], 1/19353600], [[[1, 3], [2, 2], [4, 2], [5, 2], [6, 1], [9, 1]], 1/74649600], [[[1, 3], [2, 2], [4, 2], [5, 2], [6, 1], [18, 1]], 121/39813120], [[[1, 3], [2, 2], [4, 2], [5, 2], [6, 2], [12, 1]], 1943/3185049600], [[[1, 3], [2, 2], [4, 2], [5, 2], [8, 1], [10, 1]], 971/6144000], [[[1, 3], [2, 2], [4, 2], [5, 2], [8, 1], [12, 1]], 5/663552], [[[1, 3], [2, 2], [4, 2], [5, 2], [10, 1], [12, 1]], 7/6912000], [[[1, 3], [2, 2], [4, 2], [6, 1], [7, 1], [8, 2]], 1/6193152], [[[1, 3], [2, 2], [4, 2], [6, 1], [7, 1], [10, 2]], 1/19353600], [[[1, 3], [2, 2], [4, 2], [6, 1], [7, 1], [12, 2]], 113/9289728], [[[1, 3], [2, 2], [4, 2], [6, 1], [7, 1], [15, 1]], 1/967680], [[[1, 3], [2, 2], [4, 2], [6, 1], [7, 1], [20, 1]], 1/645120], [[[1, 3], [2, 2], [4, 2], [6, 1], [7, 1], [24, 1]], 1/774144], [[[1, 3], [2, 2], [4, 2], [6, 1], [7, 1], [30, 1]], 1/967680], [[[1, 3], [2, 2], [4, 2], [6, 1], [8, 2], [9, 1]], 1/23887872], [[[1, 3], [2, 2], [4, 2], [6, 1], [8, 2], [18, 1]], 4817/63700992], [[[1, 3], [2, 2], [4, 2], [6, 1], [9, 1], [10, 2]], 1/74649600], [[[1, 3], [2, 2], [4, 2], [6, 1], [9, 1], [12, 2]], 209/35831808], [[[1, 3], [2, 2], [4, 2], [6, 1], [9, 1], [15, 1]], 1/3732480], [[[1, 3], [2, 2], [4, 2], [6, 1], [9, 1], [20, 1]], 1/2488320], [[[1, 3], [2, 2], [4, 2], [6, 1], [9, 1], [24, 1]], 1/2985984], [[[1, 3], [2, 2], [4, 2], [6, 1], [9, 1], [30, 1]], 1/3732480], [[[1, 3], [2, 2], [4, 2], [6, 1], [10, 2], [18, 1]], 121/39813120], [[[1, 3], [2, 2], [4, 2], [6, 1], [12, 2], [14, 1]], 1/193536], [[[1, 3], [2, 2], [4, 2], [6, 1], [12, 2], [18, 1]], 2717/95551488], [[[1, 3], [2, 2], [4, 2], [6, 1], [15, 1], [18, 1]], 29/9953280], [[[1, 3], [2, 2], [4, 2], [6, 1], [16, 1], [18, 1]], 1/13824], [[[1, 3], [2, 2], [4, 2], [6, 1], [18, 1], [20, 1]], 413/6635520], [[[1, 3], [2, 2], [4, 2], [6, 1], [18, 1], [24, 1]], 29/7962624], [[[1, 3], [2, 2], [4, 2], [6, 1], [18, 1], [30, 1]], 29/9953280], [[[1, 3], [2, 2], [4, 2], [6, 2], [7, 1], [18, 1]], 1/1741824], [[[1, 3], [2, 2], [4, 2], [6, 2], [8, 1], [12, 2]], 149/7962624], [[[1, 3], [2, 2], [4, 2], [6, 2], [8, 1], [16, 1]], 1/147456], [[[1, 3], [2, 2], [4, 2], [6, 2], [8, 2], [12, 1]], 17651/1019215872], [[[1, 3], [2, 2], [4, 2], [6, 2], [9, 1], [18, 1]], 1/6718464], [[[1, 3], [2, 2], [4, 2], [6, 2], [10, 1], [12, 2]], 1/221184], [[[1, 3], [2, 2], [4, 2], [6, 2], [10, 2], [12, 1]], 1003/637009920], [[[1, 3], [2, 2], [4, 2], [6, 2], [12, 1], [15, 1]], 43/31850496], [[[1, 3], [2, 2], [4, 2], [6, 2], [12, 1], [16, 1]], 1/73728], [[[1, 3], [2, 2], [4, 2], [6, 2], [12, 1], [20, 1]], 2903/106168320], [[[1, 3], [2, 2], [4, 2], [6, 2], [12, 1], [24, 1]], 983/127401984], [[[1, 3], [2, 2], [4, 2], [6, 2], [12, 1], [30, 1]], 43/31850496], [[[1, 3], [2, 2], [4, 2], [6, 3], [7, 1], [12, 1]], 83/250822656], [[[1, 3], [2, 2], [4, 2], [6, 3], [9, 1], [12, 1]], 131/967458816], [[[1, 3], [2, 2], [4, 2], [6, 3], [12, 1], [14, 1]], 1/10450944], [[[1, 3], [2, 2], [4, 2], [6, 3], [12, 1], [18, 1]], 709/859963392], [[[1, 3], [2, 2], [4, 2], [6, 4], [8, 1], [10, 1]], 11/1592524800], [[[1, 3], [2, 2], [4, 2], [6, 4], [8, 1], [12, 1]], 73/859963392], [[[1, 3], [2, 2], [4, 2], [6, 4], [10, 1], [12, 1]], 29/597196800], [[[1, 3], [2, 2], [4, 2], [7, 1], [8, 1], [14, 1]], 11/14336], [[[1, 3], [2, 2], [4, 2], [7, 1], [9, 1], [12, 1]], 1/62208], [[[1, 3], [2, 2], [4, 2], [7, 1], [10, 1], [14, 1]], 1/4480], [[[1, 3], [2, 2], [4, 2], [7, 1], [12, 1], [14, 1]], 59/112896], [[[1, 3], [2, 2], [4, 2], [7, 1], [12, 1], [18, 1]], 1/62208], [[[1, 3], [2, 2], [4, 2], [8, 1], [9, 1], [18, 1]], 11/18432], [[[1, 3], [2, 2], [4, 2], [8, 1], [10, 1], [12, 2]], 11/2949120], [[[1, 3], [2, 2], [4, 2], [8, 1], [10, 1], [15, 1]], 11/307200], [[[1, 3], [2, 2], [4, 2], [8, 1], [10, 1], [16, 1]], 21/40960], [[[1, 3], [2, 2], [4, 2], [8, 1], [10, 1], [20, 1]], 43/204800], [[[1, 3], [2, 2], [4, 2], [8, 1], [10, 1], [24, 1]], 5/16384], [[[1, 3], [2, 2], [4, 2], [8, 1], [10, 1], [30, 1]], 11/307200], [[[1, 3], [2, 2], [4, 2], [8, 1], [10, 2], [12, 1]], 5/663552], [[[1, 3], [2, 2], [4, 2], [8, 1], [12, 1], [15, 1]], 25/165888], [[[1, 3], [2, 2], [4, 2], [8, 1], [12, 1], [16, 1]], 95/73728], [[[1, 3], [2, 2], [4, 2], [8, 1], [12, 1], [20, 1]], 509/552960], [[[1, 3], [2, 2], [4, 2], [8, 1], [12, 1], [24, 1]], 731/663552], [[[1, 3], [2, 2], [4, 2], [8, 1], [12, 1], [30, 1]], 25/165888], [[[1, 3], [2, 2], [4, 2], [8, 2], [10, 1], [12, 1]], 19/2211840], [[[1, 3], [2, 2], [4, 2], [9, 1], [10, 1], [18, 1]], 1/5760], [[[1, 3], [2, 2], [4, 2], [9, 1], [12, 1], [14, 1]], 5/435456], [[[1, 3], [2, 2], [4, 2], [9, 1], [12, 1], [18, 1]], 553/1679616], [[[1, 3], [2, 2], [4, 2], [10, 1], [12, 1], [15, 1]], 7/345600], [[[1, 3], [2, 2], [4, 2], [10, 1], [12, 1], [16, 1]], 1/7680], [[[1, 3], [2, 2], [4, 2], [10, 1], [12, 1], [20, 1]], 43/230400], [[[1, 3], [2, 2], [4, 2], [10, 1], [12, 1], [24, 1]], 49/276480], [[[1, 3], [2, 2], [4, 2], [10, 1], [12, 1], [30, 1]], 7/345600], [[[1, 3], [2, 2], [4, 2], [12, 1], [14, 1], [18, 1]], 1/145152], [[[1, 3], [2, 2], [4, 3], [5, 1], [6, 1], [12, 2]], 1/276480], [[[1, 3], [2, 2], [4, 3], [5, 1], [6, 3], [12, 1]], 1/14929920], [[[1, 3], [2, 2], [4, 3], [5, 1], [7, 1], [12, 1]], 1/80640], [[[1, 3], [2, 2], [4, 3], [5, 1], [9, 1], [12, 1]], 1/155520], [[[1, 3], [2, 2], [4, 3], [5, 1], [12, 1], [14, 1]], 1/161280], [[[1, 3], [2, 2], [4, 3], [5, 1], [12, 1], [18, 1]], 1/207360], [[[1, 3], [2, 2], [4, 3], [5, 2], [6, 1], [8, 1]], 1/29491200], [[[1, 3], [2, 2], [4, 3], [5, 2], [6, 1], [10, 1]], 1/55296000], [[[1, 3], [2, 2], [4, 3], [5, 2], [6, 1], [12, 1]], 13/79626240], [[[1, 3], [2, 2], [4, 3], [6, 1], [7, 1], [18, 1]], 1/1161216], [[[1, 3], [2, 2], [4, 3], [6, 1], [8, 1], [10, 2]], 1/29491200], [[[1, 3], [2, 2], [4, 3], [6, 1], [8, 1], [12, 2]], 2467/42467328], [[[1, 3], [2, 2], [4, 3], [6, 1], [8, 1], [15, 1]], 1/1474560], [[[1, 3], [2, 2], [4, 3], [6, 1], [8, 1], [16, 1]], 11/294912], [[[1, 3], [2, 2], [4, 3], [6, 1], [8, 1], [20, 1]], 131/2949120], [[[1, 3], [2, 2], [4, 3], [6, 1], [8, 1], [24, 1]], 1/1179648], [[[1, 3], [2, 2], [4, 3], [6, 1], [8, 1], [30, 1]], 1/1474560], [[[1, 3], [2, 2], [4, 3], [6, 1], [8, 2], [10, 1]], 49/17694720], [[[1, 3], [2, 2], [4, 3], [6, 1], [8, 2], [12, 1]], 6209/127401984], [[[1, 3], [2, 2], [4, 3], [6, 1], [9, 1], [18, 1]], 1/2239488], [[[1, 3], [2, 2], [4, 3], [6, 1], [10, 1], [12, 2]], 481/26542080], [[[1, 3], [2, 2], [4, 3], [6, 1], [10, 1], [15, 1]], 1/2764800], [[[1, 3], [2, 2], [4, 3], [6, 1], [10, 1], [16, 1]], 1/92160], [[[1, 3], [2, 2], [4, 3], [6, 1], [10, 1], [20, 1]], 13/368640], [[[1, 3], [2, 2], [4, 3], [6, 1], [10, 1], [24, 1]], 1/2211840], [[[1, 3], [2, 2], [4, 3], [6, 1], [10, 1], [30, 1]], 1/2764800], [[[1, 3], [2, 2], [4, 3], [6, 1], [10, 2], [12, 1]], 1217/398131200], [[[1, 3], [2, 2], [4, 3], [6, 1], [12, 1], [15, 1]], 13/3981312], [[[1, 3], [2, 2], [4, 3], [6, 1], [12, 1], [16, 1]], 1/73728], [[[1, 3], [2, 2], [4, 3], [6, 1], [12, 1], [20, 1]], 1313/13271040], [[[1, 3], [2, 2], [4, 3], [6, 1], [12, 1], [24, 1]], 401/15925248], [[[1, 3], [2, 2], [4, 3], [6, 1], [12, 1], [30, 1]], 13/3981312], [[[1, 3], [2, 2], [4, 3], [6, 1], [14, 1], [18, 1]], 1/2322432], [[[1, 3], [2, 2], [4, 3], [6, 2], [7, 1], [12, 1]], 1/6193152], [[[1, 3], [2, 2], [4, 3], [6, 2], [8, 1], [18, 1]], 1/2654208], [[[1, 3], [2, 2], [4, 3], [6, 2], [9, 1], [12, 1]], 1/11943936], [[[1, 3], [2, 2], [4, 3], [6, 2], [10, 1], [18, 1]], 1/4976640], [[[1, 3], [2, 2], [4, 3], [6, 2], [12, 1], [14, 1]], 1/12386304], [[[1, 3], [2, 2], [4, 3], [6, 2], [12, 1], [18, 1]], 269/143327232], [[[1, 3], [2, 2], [4, 3], [6, 3], [8, 1], [12, 1]], 929/1146617856], [[[1, 3], [2, 2], [4, 3], [6, 3], [10, 1], [12, 1]], 5/47775744], [[[1, 3], [2, 2], [4, 3], [7, 1], [8, 1], [12, 1]], 5/36864], [[[1, 3], [2, 2], [4, 3], [7, 1], [10, 1], [12, 1]], 1/80640], [[[1, 3], [2, 2], [4, 3], [8, 1], [9, 1], [12, 1]], 35/497664], [[[1, 3], [2, 2], [4, 3], [8, 1], [12, 1], [14, 1]], 1/14336], [[[1, 3], [2, 2], [4, 3], [8, 1], [12, 1], [18, 1]], 53/995328], [[[1, 3], [2, 2], [4, 3], [9, 1], [10, 1], [12, 1]], 1/155520], [[[1, 3], [2, 2], [4, 3], [10, 1], [12, 1], [14, 1]], 1/161280], [[[1, 3], [2, 2], [4, 3], [10, 1], [12, 1], [18, 1]], 1/207360], [[[1, 3], [2, 2], [4, 4], [5, 1], [6, 1], [18, 1]], 73/238878720], [[[1, 3], [2, 2], [4, 4], [5, 1], [6, 2], [12, 1]], 73/1274019840], [[[1, 3], [2, 2], [4, 4], [5, 1], [8, 1], [10, 1]], 1/122880], [[[1, 3], [2, 2], [4, 4], [5, 1], [8, 1], [12, 1]], 7/147456], [[[1, 3], [2, 2], [4, 4], [5, 1], [10, 1], [12, 1]], 11/230400], [[[1, 3], [2, 2], [4, 4], [6, 1], [7, 1], [8, 1]], 1/61931520], [[[1, 3], [2, 2], [4, 4], [6, 1], [7, 1], [10, 1]], 1/51609600], [[[1, 3], [2, 2], [4, 4], [6, 1], [7, 1], [12, 1]], 167/371589120], [[[1, 3], [2, 2], [4, 4], [6, 1], [8, 1], [9, 1]], 1/119439360], [[[1, 3], [2, 2], [4, 4], [6, 1], [8, 1], [14, 1]], 1/123863040], [[[1, 3], [2, 2], [4, 4], [6, 1], [8, 1], [18, 1]], 13519/1911029760], [[[1, 3], [2, 2], [4, 4], [6, 1], [9, 1], [10, 1]], 1/119439360], [[[1, 3], [2, 2], [4, 4], [6, 1], [9, 1], [12, 1]], 173/1433272320], [[[1, 3], [2, 2], [4, 4], [6, 1], [10, 1], [14, 1]], 1/154828800], [[[1, 3], [2, 2], [4, 4], [6, 1], [10, 1], [18, 1]], 41/132710400], [[[1, 3], [2, 2], [4, 4], [6, 1], [12, 1], [14, 1]], 1/123863040], [[[1, 3], [2, 2], [4, 4], [6, 1], [12, 1], [18, 1]], 2743/477757440], [[[1, 3], [2, 2], [4, 4], [6, 2], [8, 1], [10, 1]], 1/265420800], [[[1, 3], [2, 2], [4, 4], [6, 2], [8, 1], [12, 1]], 2711/2038431744], [[[1, 3], [2, 2], [4, 4], [6, 2], [10, 1], [12, 1]], 43/707788800], [[[1, 3], [2, 2], [4, 4], [8, 1], [10, 1], [12, 1]], 7/147456], [[[1, 3], [2, 2], [4, 5], [5, 1], [6, 1], [8, 1]], 1/176947200], [[[1, 3], [2, 2], [4, 5], [5, 1], [6, 1], [10, 1]], 1/221184000], [[[1, 3], [2, 2], [4, 5], [5, 1], [6, 1], [12, 1]], 1/176947200], [[[1, 3], [2, 2], [4, 5], [6, 1], [8, 1], [10, 1]], 13/44236800], [[[1, 3], [2, 2], [4, 5], [6, 1], [8, 1], [12, 1]], 71/56623104], [[[1, 3], [2, 2], [4, 5], [6, 1], [10, 1], [12, 1]], 343/530841600], [[[1, 3], [2, 2], [5, 1], [6, 1], [8, 2], [18, 1]], 1/995328], [[[1, 3], [2, 2], [5, 1], [6, 1], [10, 2], [18, 1]], 1/3110400], [[[1, 3], [2, 2], [5, 1], [6, 1], [12, 2], [18, 1]], 1/1492992], [[[1, 3], [2, 2], [5, 1], [6, 1], [15, 1], [18, 1]], 1/155520], [[[1, 3], [2, 2], [5, 1], [6, 1], [18, 1], [20, 1]], 1/103680], [[[1, 3], [2, 2], [5, 1], [6, 1], [18, 1], [24, 1]], 1/124416], [[[1, 3], [2, 2], [5, 1], [6, 1], [18, 1], [30, 1]], 1/155520], [[[1, 3], [2, 2], [5, 1], [6, 2], [8, 2], [12, 1]], 1/5308416], [[[1, 3], [2, 2], [5, 1], [6, 2], [10, 2], [12, 1]], 1/16588800], [[[1, 3], [2, 2], [5, 1], [6, 2], [12, 1], [15, 1]], 1/829440], [[[1, 3], [2, 2], [5, 1], [6, 2], [12, 1], [20, 1]], 1/552960], [[[1, 3], [2, 2], [5, 1], [6, 2], [12, 1], [24, 1]], 1/663552], [[[1, 3], [2, 2], [5, 1], [6, 2], [12, 1], [30, 1]], 1/829440], [[[1, 3], [2, 2], [5, 1], [6, 3], [12, 1], [18, 1]], 1/1492992], [[[1, 3], [2, 2], [5, 2], [6, 1], [7, 1], [8, 1]], 1/806400], [[[1, 3], [2, 2], [5, 2], [6, 1], [7, 1], [10, 1]], 1/672000], [[[1, 3], [2, 2], [5, 2], [6, 1], [7, 1], [12, 1]], 1/691200], [[[1, 3], [2, 2], [5, 2], [6, 1], [8, 1], [9, 1]], 1/1555200], [[[1, 3], [2, 2], [5, 2], [6, 1], [8, 1], [14, 1]], 1/1612800], [[[1, 3], [2, 2], [5, 2], [6, 1], [8, 1], [18, 1]], 19/24883200], [[[1, 3], [2, 2], [5, 2], [6, 1], [9, 1], [10, 1]], 1/1555200], [[[1, 3], [2, 2], [5, 2], [6, 1], [9, 1], [12, 1]], 13/18662400], [[[1, 3], [2, 2], [5, 2], [6, 1], [10, 1], [14, 1]], 1/2016000], [[[1, 3], [2, 2], [5, 2], [6, 1], [10, 1], [18, 1]], 1/1728000], [[[1, 3], [2, 2], [5, 2], [6, 1], [12, 1], [14, 1]], 1/1612800], [[[1, 3], [2, 2], [5, 2], [6, 1], [12, 1], [18, 1]], 1/2073600], [[[1, 3], [2, 2], [5, 2], [6, 2], [8, 1], [10, 1]], 1/3456000], [[[1, 3], [2, 2], [5, 2], [6, 2], [8, 1], [12, 1]], 11/26542080], [[[1, 3], [2, 2], [5, 2], [6, 2], [10, 1], [12, 1]], 1/3072000], [[[1, 3], [2, 2], [6, 1], [7, 1], [8, 1], [10, 2]], 1/806400], [[[1, 3], [2, 2], [6, 1], [7, 1], [8, 1], [12, 2]], 1/387072], [[[1, 3], [2, 2], [6, 1], [7, 1], [8, 1], [15, 1]], 1/40320], [[[1, 3], [2, 2], [6, 1], [7, 1], [8, 1], [20, 1]], 1/26880], [[[1, 3], [2, 2], [6, 1], [7, 1], [8, 1], [24, 1]], 1/32256], [[[1, 3], [2, 2], [6, 1], [7, 1], [8, 1], [30, 1]], 1/40320], [[[1, 3], [2, 2], [6, 1], [7, 1], [8, 2], [10, 1]], 1/215040], [[[1, 3], [2, 2], [6, 1], [7, 1], [8, 2], [12, 1]], 1/221184], [[[1, 3], [2, 2], [6, 1], [7, 1], [9, 1], [18, 1]], 1/46656], [[[1, 3], [2, 2], [6, 1], [7, 1], [10, 1], [12, 2]], 1/322560], [[[1, 3], [2, 2], [6, 1], [7, 1], [10, 1], [15, 1]], 1/33600], [[[1, 3], [2, 2], [6, 1], [7, 1], [10, 1], [20, 1]], 1/22400], [[[1, 3], [2, 2], [6, 1], [7, 1], [10, 1], [24, 1]], 1/26880], [[[1, 3], [2, 2], [6, 1], [7, 1], [10, 1], [30, 1]], 1/33600], [[[1, 3], [2, 2], [6, 1], [7, 1], [10, 2], [12, 1]], 1/691200], [[[1, 3], [2, 2], [6, 1], [7, 1], [12, 1], [15, 1]], 1/34560], [[[1, 3], [2, 2], [6, 1], [7, 1], [12, 1], [20, 1]], 1/23040], [[[1, 3], [2, 2], [6, 1], [7, 1], [12, 1], [24, 1]], 1/27648], [[[1, 3], [2, 2], [6, 1], [7, 1], [12, 1], [30, 1]], 1/34560], [[[1, 3], [2, 2], [6, 1], [7, 1], [14, 1], [18, 1]], 17/84672], [[[1, 3], [2, 2], [6, 1], [8, 1], [9, 1], [10, 2]], 1/1555200], [[[1, 3], [2, 2], [6, 1], [8, 1], [9, 1], [12, 2]], 1/746496], [[[1, 3], [2, 2], [6, 1], [8, 1], [9, 1], [15, 1]], 1/77760], [[[1, 3], [2, 2], [6, 1], [8, 1], [9, 1], [20, 1]], 1/51840], [[[1, 3], [2, 2], [6, 1], [8, 1], [9, 1], [24, 1]], 1/62208], [[[1, 3], [2, 2], [6, 1], [8, 1], [9, 1], [30, 1]], 1/77760], [[[1, 3], [2, 2], [6, 1], [8, 1], [10, 2], [14, 1]], 1/1612800], [[[1, 3], [2, 2], [6, 1], [8, 1], [10, 2], [18, 1]], 19/24883200], [[[1, 3], [2, 2], [6, 1], [8, 1], [12, 2], [14, 1]], 1/774144], [[[1, 3], [2, 2], [6, 1], [8, 1], [12, 2], [18, 1]], 19/11943936], [[[1, 3], [2, 2], [6, 1], [8, 1], [14, 1], [15, 1]], 1/80640], [[[1, 3], [2, 2], [6, 1], [8, 1], [14, 1], [20, 1]], 1/53760], [[[1, 3], [2, 2], [6, 1], [8, 1], [14, 1], [24, 1]], 1/64512], [[[1, 3], [2, 2], [6, 1], [8, 1], [14, 1], [30, 1]], 1/80640], [[[1, 3], [2, 2], [6, 1], [8, 1], [15, 1], [18, 1]], 19/1244160], [[[1, 3], [2, 2], [6, 1], [8, 1], [16, 1], [18, 1]], 1/27648], [[[1, 3], [2, 2], [6, 1], [8, 1], [18, 1], [20, 1]], 19/829440], [[[1, 3], [2, 2], [6, 1], [8, 1], [18, 1], [24, 1]], 19/995328], [[[1, 3], [2, 2], [6, 1], [8, 1], [18, 1], [30, 1]], 19/1244160], [[[1, 3], [2, 2], [6, 1], [8, 2], [9, 1], [10, 1]], 1/497664], [[[1, 3], [2, 2], [6, 1], [8, 2], [9, 1], [12, 1]], 13/5971968], [[[1, 3], [2, 2], [6, 1], [8, 2], [10, 1], [14, 1]], 1/645120], [[[1, 3], [2, 2], [6, 1], [8, 2], [10, 1], [18, 1]], 1/552960], [[[1, 3], [2, 2], [6, 1], [8, 2], [12, 1], [14, 1]], 1/516096], [[[1, 3], [2, 2], [6, 1], [8, 2], [12, 1], [18, 1]], 1/663552], [[[1, 3], [2, 2], [6, 1], [9, 1], [10, 1], [12, 2]], 1/746496], [[[1, 3], [2, 2], [6, 1], [9, 1], [10, 1], [15, 1]], 1/77760], [[[1, 3], [2, 2], [6, 1], [9, 1], [10, 1], [20, 1]], 1/51840], [[[1, 3], [2, 2], [6, 1], [9, 1], [10, 1], [24, 1]], 1/62208], [[[1, 3], [2, 2], [6, 1], [9, 1], [10, 1], [30, 1]], 1/77760], [[[1, 3], [2, 2], [6, 1], [9, 1], [10, 2], [12, 1]], 13/18662400], [[[1, 3], [2, 2], [6, 1], [9, 1], [12, 1], [15, 1]], 13/933120], [[[1, 3], [2, 2], [6, 1], [9, 1], [12, 1], [20, 1]], 13/622080], [[[1, 3], [2, 2], [6, 1], [9, 1], [12, 1], [24, 1]], 13/746496], [[[1, 3], [2, 2], [6, 1], [9, 1], [12, 1], [30, 1]], 13/933120], [[[1, 3], [2, 2], [6, 1], [9, 1], [14, 1], [18, 1]], 5/326592], [[[1, 3], [2, 2], [6, 1], [10, 1], [12, 2], [14, 1]], 1/967680], [[[1, 3], [2, 2], [6, 1], [10, 1], [12, 2], [18, 1]], 1/829440], [[[1, 3], [2, 2], [6, 1], [10, 1], [14, 1], [15, 1]], 1/100800], [[[1, 3], [2, 2], [6, 1], [10, 1], [14, 1], [20, 1]], 1/67200], [[[1, 3], [2, 2], [6, 1], [10, 1], [14, 1], [24, 1]], 1/80640], [[[1, 3], [2, 2], [6, 1], [10, 1], [14, 1], [30, 1]], 1/100800], [[[1, 3], [2, 2], [6, 1], [10, 1], [15, 1], [18, 1]], 1/86400], [[[1, 3], [2, 2], [6, 1], [10, 1], [18, 1], [20, 1]], 1/57600], [[[1, 3], [2, 2], [6, 1], [10, 1], [18, 1], [24, 1]], 1/69120], [[[1, 3], [2, 2], [6, 1], [10, 1], [18, 1], [30, 1]], 1/86400], [[[1, 3], [2, 2], [6, 1], [10, 2], [12, 1], [14, 1]], 1/1612800], [[[1, 3], [2, 2], [6, 1], [10, 2], [12, 1], [18, 1]], 1/2073600], [[[1, 3], [2, 2], [6, 1], [12, 1], [14, 1], [15, 1]], 1/80640], [[[1, 3], [2, 2], [6, 1], [12, 1], [14, 1], [20, 1]], 1/53760], [[[1, 3], [2, 2], [6, 1], [12, 1], [14, 1], [24, 1]], 1/64512], [[[1, 3], [2, 2], [6, 1], [12, 1], [14, 1], [30, 1]], 1/80640], [[[1, 3], [2, 2], [6, 1], [12, 1], [15, 1], [18, 1]], 1/103680], [[[1, 3], [2, 2], [6, 1], [12, 1], [18, 1], [20, 1]], 1/69120], [[[1, 3], [2, 2], [6, 1], [12, 1], [18, 1], [24, 1]], 1/82944], [[[1, 3], [2, 2], [6, 1], [12, 1], [18, 1], [30, 1]], 1/103680], [[[1, 3], [2, 2], [6, 2], [7, 1], [8, 1], [18, 1]], 1/72576], [[[1, 3], [2, 2], [6, 2], [7, 1], [9, 1], [12, 1]], 1/248832], [[[1, 3], [2, 2], [6, 2], [7, 1], [10, 1], [18, 1]], 1/60480], [[[1, 3], [2, 2], [6, 2], [7, 1], [12, 1], [14, 1]], 17/451584], [[[1, 3], [2, 2], [6, 2], [7, 1], [12, 1], [18, 1]], 5/248832], [[[1, 3], [2, 2], [6, 2], [8, 1], [9, 1], [18, 1]], 1/139968], [[[1, 3], [2, 2], [6, 2], [8, 1], [10, 1], [12, 2]], 1/1658880], [[[1, 3], [2, 2], [6, 2], [8, 1], [10, 1], [15, 1]], 1/172800], [[[1, 3], [2, 2], [6, 2], [8, 1], [10, 1], [20, 1]], 1/115200], [[[1, 3], [2, 2], [6, 2], [8, 1], [10, 1], [24, 1]], 1/138240], [[[1, 3], [2, 2], [6, 2], [8, 1], [10, 1], [30, 1]], 1/172800], [[[1, 3], [2, 2], [6, 2], [8, 1], [10, 2], [12, 1]], 11/26542080], [[[1, 3], [2, 2], [6, 2], [8, 1], [12, 1], [15, 1]], 11/1327104], [[[1, 3], [2, 2], [6, 2], [8, 1], [12, 1], [16, 1]], 1/147456], [[[1, 3], [2, 2], [6, 2], [8, 1], [12, 1], [20, 1]], 11/884736], [[[1, 3], [2, 2], [6, 2], [8, 1], [12, 1], [24, 1]], 55/5308416], [[[1, 3], [2, 2], [6, 2], [8, 1], [12, 1], [30, 1]], 11/1327104], [[[1, 3], [2, 2], [6, 2], [8, 1], [14, 1], [18, 1]], 1/145152], [[[1, 3], [2, 2], [6, 2], [8, 2], [10, 1], [12, 1]], 1/983040], [[[1, 3], [2, 2], [6, 2], [9, 1], [10, 1], [18, 1]], 1/139968], [[[1, 3], [2, 2], [6, 2], [9, 1], [12, 1], [14, 1]], 5/1741824], [[[1, 3], [2, 2], [6, 2], [9, 1], [12, 1], [18, 1]], 119/6718464], [[[1, 3], [2, 2], [6, 2], [10, 1], [12, 1], [15, 1]], 1/153600], [[[1, 3], [2, 2], [6, 2], [10, 1], [12, 1], [20, 1]], 1/102400], [[[1, 3], [2, 2], [6, 2], [10, 1], [12, 1], [24, 1]], 1/122880], [[[1, 3], [2, 2], [6, 2], [10, 1], [12, 1], [30, 1]], 1/153600], [[[1, 3], [2, 2], [6, 2], [10, 1], [14, 1], [18, 1]], 1/181440], [[[1, 3], [2, 2], [6, 2], [12, 1], [14, 1], [18, 1]], 5/580608], [[[1, 3], [2, 2], [6, 3], [7, 1], [8, 1], [12, 1]], 1/387072], [[[1, 3], [2, 2], [6, 3], [7, 1], [10, 1], [12, 1]], 1/322560], [[[1, 3], [2, 2], [6, 3], [8, 1], [9, 1], [12, 1]], 1/746496], [[[1, 3], [2, 2], [6, 3], [8, 1], [10, 1], [18, 1]], 1/311040], [[[1, 3], [2, 2], [6, 3], [8, 1], [12, 1], [14, 1]], 1/774144], [[[1, 3], [2, 2], [6, 3], [8, 1], [12, 1], [18, 1]], 67/11943936], [[[1, 3], [2, 2], [6, 3], [9, 1], [10, 1], [12, 1]], 1/746496], [[[1, 3], [2, 2], [6, 3], [10, 1], [12, 1], [14, 1]], 1/967680], [[[1, 3], [2, 2], [6, 3], [10, 1], [12, 1], [18, 1]], 11/2488320], [[[1, 3], [2, 2], [6, 4], [8, 1], [10, 1], [12, 1]], 1/1658880], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [6, 5]], 77/2687385600], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 2], [6, 3]], 23/89579520], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 2], [7, 1]], 19/2419200], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 2], [9, 1]], 541/59719680], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 2], [14, 1]], 1/43200], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 2], [18, 1]], 5/497664], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 3], [6, 1]], 1/864000], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [7, 2]], 1/225792], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [8, 3]], 893/10616832], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [9, 2]], 1/139968], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [10, 3]], 7/5184000], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [12, 3]], 457/11943936], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [14, 2]], 1/75264], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [18, 2]], 5/559872], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [28, 1]], 5/16128], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [36, 1]], 5/20736], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 3], [8, 2]], 199/35831808], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 3], [10, 2]], 2107/447897600], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 3], [12, 2]], 4301/214990848], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 3], [15, 1]], 11/4478976], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 3], [16, 1]], 5/165888], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 3], [20, 1]], 11/2985984], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 3], [24, 1]], 595/17915904], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 3], [30, 1]], 11/4478976], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 4], [7, 1]], 101/627056640], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 4], [9, 1]], 13873/77396705280], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 4], [14, 1]], 71/313528320], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 4], [18, 1]], 961/644972544], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 5], [8, 1]], 1549/8599633920], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 5], [10, 1]], 359/2687385600], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 5], [12, 1]], 2627/6449725440], [[[1, 3], [2, 4], [3, 1], [4, 1], [7, 1], [8, 2]], 1/27648], [[[1, 3], [2, 4], [3, 1], [4, 1], [7, 1], [10, 2]], 1/2419200], [[[1, 3], [2, 4], [3, 1], [4, 1], [7, 1], [12, 2]], 19/1161216], [[[1, 3], [2, 4], [3, 1], [4, 1], [7, 1], [15, 1]], 1/120960], [[[1, 3], [2, 4], [3, 1], [4, 1], [7, 1], [20, 1]], 1/80640], [[[1, 3], [2, 4], [3, 1], [4, 1], [7, 1], [24, 1]], 1/96768], [[[1, 3], [2, 4], [3, 1], [4, 1], [7, 1], [30, 1]], 1/120960], [[[1, 3], [2, 4], [3, 1], [4, 1], [8, 2], [9, 1]], 4253/95551488], [[[1, 3], [2, 4], [3, 1], [4, 1], [8, 2], [14, 1]], 103/1548288], [[[1, 3], [2, 4], [3, 1], [4, 1], [8, 2], [18, 1]], 137/3981312], [[[1, 3], [2, 4], [3, 1], [4, 1], [9, 1], [10, 2]], 1553/298598400], [[[1, 3], [2, 4], [3, 1], [4, 1], [9, 1], [12, 2]], 1841/143327232], [[[1, 3], [2, 4], [3, 1], [4, 1], [9, 1], [15, 1]], 113/14929920], [[[1, 3], [2, 4], [3, 1], [4, 1], [9, 1], [16, 1]], 1/82944], [[[1, 3], [2, 4], [3, 1], [4, 1], [9, 1], [20, 1]], 113/9953280], [[[1, 3], [2, 4], [3, 1], [4, 1], [9, 1], [24, 1]], 113/11943936], [[[1, 3], [2, 4], [3, 1], [4, 1], [9, 1], [30, 1]], 113/14929920], [[[1, 3], [2, 4], [3, 1], [4, 1], [10, 2], [14, 1]], 1/1209600], [[[1, 3], [2, 4], [3, 1], [4, 1], [10, 2], [18, 1]], 1/2488320], [[[1, 3], [2, 4], [3, 1], [4, 1], [12, 2], [14, 1]], 11/290304], [[[1, 3], [2, 4], [3, 1], [4, 1], [12, 2], [18, 1]], 109/5971968], [[[1, 3], [2, 4], [3, 1], [4, 1], [14, 1], [15, 1]], 1/60480], [[[1, 3], [2, 4], [3, 1], [4, 1], [14, 1], [20, 1]], 1/40320], [[[1, 3], [2, 4], [3, 1], [4, 1], [14, 1], [24, 1]], 1/48384], [[[1, 3], [2, 4], [3, 1], [4, 1], [14, 1], [30, 1]], 1/60480], [[[1, 3], [2, 4], [3, 1], [4, 1], [15, 1], [18, 1]], 1/124416], [[[1, 3], [2, 4], [3, 1], [4, 1], [18, 1], [20, 1]], 1/82944], [[[1, 3], [2, 4], [3, 1], [4, 1], [18, 1], [24, 1]], 5/497664], [[[1, 3], [2, 4], [3, 1], [4, 1], [18, 1], [30, 1]], 1/124416], [[[1, 3], [2, 4], [3, 1], [4, 2], [5, 1], [6, 4]], 35723/343985356800], [[[1, 3], [2, 4], [3, 1], [4, 2], [5, 1], [8, 2]], 41023/424673280], [[[1, 3], [2, 4], [3, 1], [4, 2], [5, 1], [10, 2]], 3979/1327104000], [[[1, 3], [2, 4], [3, 1], [4, 2], [5, 1], [12, 2]], 22411/637009920], [[[1, 3], [2, 4], [3, 1], [4, 2], [5, 1], [15, 1]], 523/66355200], [[[1, 3], [2, 4], [3, 1], [4, 2], [5, 1], [16, 1]], 1/15360], [[[1, 3], [2, 4], [3, 1], [4, 2], [5, 1], [20, 1]], 2827/44236800], [[[1, 3], [2, 4], [3, 1], [4, 2], [5, 1], [24, 1]], 523/53084160], [[[1, 3], [2, 4], [3, 1], [4, 2], [5, 1], [30, 1]], 523/66355200], [[[1, 3], [2, 4], [3, 1], [4, 2], [5, 2], [6, 2]], 46181/57330892800], [[[1, 3], [2, 4], [3, 1], [4, 2], [5, 2], [8, 1]], 2533/106168320], [[[1, 3], [2, 4], [3, 1], [4, 2], [5, 2], [10, 1]], 47741/829440000], [[[1, 3], [2, 4], [3, 1], [4, 2], [5, 2], [12, 1]], 133717/9555148800], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 2], [8, 2]], 1524593/18345885696], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 2], [10, 2]], 398693/57330892800], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 2], [12, 2]], 6321187/27518828544], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 2], [15, 1]], 15077/2866544640], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 2], [16, 1]], 7/73728], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 2], [20, 1]], 35813/1911029760], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 2], [24, 1]], 208613/2293235712], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 2], [30, 1]], 15077/2866544640], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 3], [7, 1]], 1/3919104], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 3], [9, 1]], 157/644972544], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 3], [14, 1]], 25/125411328], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 3], [18, 1]], 47215/15479341056], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 4], [8, 1]], 239929/137594142720], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 4], [10, 1]], 39421/214990848000], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 4], [12, 1]], 2309675/495338913792], [[[1, 3], [2, 4], [3, 1], [4, 2], [7, 1], [9, 1]], 187/55738368], [[[1, 3], [2, 4], [3, 1], [4, 2], [7, 1], [14, 1]], 11/100352], [[[1, 3], [2, 4], [3, 1], [4, 2], [7, 1], [18, 1]], 1/3483648], [[[1, 3], [2, 4], [3, 1], [4, 2], [8, 1], [10, 2]], 2297/530841600], [[[1, 3], [2, 4], [3, 1], [4, 2], [8, 1], [12, 2]], 31801/254803968], [[[1, 3], [2, 4], [3, 1], [4, 2], [8, 1], [15, 1]], 569/26542080], [[[1, 3], [2, 4], [3, 1], [4, 2], [8, 1], [16, 1]], 1141/3538944], [[[1, 3], [2, 4], [3, 1], [4, 2], [8, 1], [20, 1]], 613/3538944], [[[1, 3], [2, 4], [3, 1], [4, 2], [8, 1], [24, 1]], 3257/21233664], [[[1, 3], [2, 4], [3, 1], [4, 2], [8, 1], [30, 1]], 569/26542080], [[[1, 3], [2, 4], [3, 1], [4, 2], [8, 2], [10, 1]], 6161/265420800], [[[1, 3], [2, 4], [3, 1], [4, 2], [8, 2], [12, 1]], 561697/3057647616], [[[1, 3], [2, 4], [3, 1], [4, 2], [9, 1], [14, 1]], 11/1548288], [[[1, 3], [2, 4], [3, 1], [4, 2], [9, 1], [18, 1]], 787/8957952], [[[1, 3], [2, 4], [3, 1], [4, 2], [10, 1], [12, 2]], 5917/398131200], [[[1, 3], [2, 4], [3, 1], [4, 2], [10, 1], [15, 1]], 221/41472000], [[[1, 3], [2, 4], [3, 1], [4, 2], [10, 1], [20, 1]], 221/27648000], [[[1, 3], [2, 4], [3, 1], [4, 2], [10, 1], [24, 1]], 221/33177600], [[[1, 3], [2, 4], [3, 1], [4, 2], [10, 1], [30, 1]], 221/41472000], [[[1, 3], [2, 4], [3, 1], [4, 2], [10, 2], [12, 1]], 36949/9555148800], [[[1, 3], [2, 4], [3, 1], [4, 2], [12, 1], [15, 1]], 1169/95551488], [[[1, 3], [2, 4], [3, 1], [4, 2], [12, 1], [16, 1]], 1/6912], [[[1, 3], [2, 4], [3, 1], [4, 2], [12, 1], [20, 1]], 9041/63700992], [[[1, 3], [2, 4], [3, 1], [4, 2], [12, 1], [24, 1]], 31285/382205952], [[[1, 3], [2, 4], [3, 1], [4, 2], [12, 1], [30, 1]], 1169/95551488], [[[1, 3], [2, 4], [3, 1], [4, 2], [14, 1], [18, 1]], 5/3483648], [[[1, 3], [2, 4], [3, 1], [4, 3], [5, 1], [6, 3]], 79/716636160], [[[1, 3], [2, 4], [3, 1], [4, 3], [5, 1], [7, 1]], 1/2580480], [[[1, 3], [2, 4], [3, 1], [4, 3], [5, 1], [9, 1]], 7/2654208], [[[1, 3], [2, 4], [3, 1], [4, 3], [5, 1], [14, 1]], 1/516096], [[[1, 3], [2, 4], [3, 1], [4, 3], [5, 1], [18, 1]], 7/9953280], [[[1, 3], [2, 4], [3, 1], [4, 3], [5, 2], [6, 1]], 1007/265420800], [[[1, 3], [2, 4], [3, 1], [4, 3], [6, 1], [8, 2]], 25403/84934656], [[[1, 3], [2, 4], [3, 1], [4, 3], [6, 1], [10, 2]], 911/265420800], [[[1, 3], [2, 4], [3, 1], [4, 3], [6, 1], [12, 2]], 48263/127401984], [[[1, 3], [2, 4], [3, 1], [4, 3], [6, 1], [15, 1]], 239/13271040], [[[1, 3], [2, 4], [3, 1], [4, 3], [6, 1], [16, 1]], 223/1769472], [[[1, 3], [2, 4], [3, 1], [4, 3], [6, 1], [20, 1]], 421/2949120], [[[1, 3], [2, 4], [3, 1], [4, 3], [6, 1], [24, 1]], 785/10616832], [[[1, 3], [2, 4], [3, 1], [4, 3], [6, 1], [30, 1]], 239/13271040], [[[1, 3], [2, 4], [3, 1], [4, 3], [6, 2], [7, 1]], 5/5308416], [[[1, 3], [2, 4], [3, 1], [4, 3], [6, 2], [9, 1]], 37/47775744], [[[1, 3], [2, 4], [3, 1], [4, 3], [6, 2], [14, 1]], 23/37158912], [[[1, 3], [2, 4], [3, 1], [4, 3], [6, 2], [18, 1]], 1495/143327232], [[[1, 3], [2, 4], [3, 1], [4, 3], [6, 3], [8, 1]], 455/143327232], [[[1, 3], [2, 4], [3, 1], [4, 3], [6, 3], [10, 1]], 281/716636160], [[[1, 3], [2, 4], [3, 1], [4, 3], [6, 3], [12, 1]], 46249/3439853568], [[[1, 3], [2, 4], [3, 1], [4, 3], [7, 1], [8, 1]], 1/1376256], [[[1, 3], [2, 4], [3, 1], [4, 3], [7, 1], [12, 1]], 73/18579456], [[[1, 3], [2, 4], [3, 1], [4, 3], [8, 1], [9, 1]], 6991/254803968], [[[1, 3], [2, 4], [3, 1], [4, 3], [8, 1], [14, 1]], 1/258048], [[[1, 3], [2, 4], [3, 1], [4, 3], [8, 1], [18, 1]], 11/7962624], [[[1, 3], [2, 4], [3, 1], [4, 3], [9, 1], [10, 1]], 97/39813120], [[[1, 3], [2, 4], [3, 1], [4, 3], [9, 1], [12, 1]], 545/35831808], [[[1, 3], [2, 4], [3, 1], [4, 3], [10, 1], [14, 1]], 1/1290240], [[[1, 3], [2, 4], [3, 1], [4, 3], [10, 1], [18, 1]], 1/4976640], [[[1, 3], [2, 4], [3, 1], [4, 3], [12, 1], [14, 1]], 173/18579456], [[[1, 3], [2, 4], [3, 1], [4, 3], [12, 1], [18, 1]], 101/23887872], [[[1, 3], [2, 4], [3, 1], [4, 4], [5, 1], [6, 2]], 4271/11466178560], [[[1, 3], [2, 4], [3, 1], [4, 4], [5, 1], [8, 1]], 7387/1061683200], [[[1, 3], [2, 4], [3, 1], [4, 4], [5, 1], [10, 1]], 17/61440000], [[[1, 3], [2, 4], [3, 1], [4, 4], [5, 1], [12, 1]], 24509/3185049600], [[[1, 3], [2, 4], [3, 1], [4, 4], [6, 1], [7, 1]], 313/185794560], [[[1, 3], [2, 4], [3, 1], [4, 4], [6, 1], [9, 1]], 9457/5733089280], [[[1, 3], [2, 4], [3, 1], [4, 4], [6, 1], [14, 1]], 125/37158912], [[[1, 3], [2, 4], [3, 1], [4, 4], [6, 1], [18, 1]], 65443/34398535680], [[[1, 3], [2, 4], [3, 1], [4, 4], [6, 2], [8, 1]], 224011/15288238080], [[[1, 3], [2, 4], [3, 1], [4, 4], [6, 2], [10, 1]], 92143/47775744000], [[[1, 3], [2, 4], [3, 1], [4, 4], [6, 2], [12, 1]], 24254681/550376570880], [[[1, 3], [2, 4], [3, 1], [4, 4], [8, 1], [10, 1]], 109/212336640], [[[1, 3], [2, 4], [3, 1], [4, 4], [8, 1], [12, 1]], 97111/2548039680], [[[1, 3], [2, 4], [3, 1], [4, 4], [10, 1], [12, 1]], 20423/7962624000], [[[1, 3], [2, 4], [3, 1], [4, 5], [5, 1], [6, 1]], 1/819200], [[[1, 3], [2, 4], [3, 1], [4, 5], [6, 1], [8, 1]], 42509/2548039680], [[[1, 3], [2, 4], [3, 1], [4, 5], [6, 1], [10, 1]], 959/796262400], [[[1, 3], [2, 4], [3, 1], [4, 5], [6, 1], [12, 1]], 6211/159252480], [[[1, 3], [2, 4], [3, 1], [5, 1], [6, 2], [8, 2]], 547/238878720], [[[1, 3], [2, 4], [3, 1], [5, 1], [6, 2], [10, 2]], 108979/746496000], [[[1, 3], [2, 4], [3, 1], [5, 1], [6, 2], [12, 2]], 1861/358318080], [[[1, 3], [2, 4], [3, 1], [5, 1], [6, 2], [15, 1]], 23/7464960], [[[1, 3], [2, 4], [3, 1], [5, 1], [6, 2], [20, 1]], 23/4976640], [[[1, 3], [2, 4], [3, 1], [5, 1], [6, 2], [24, 1]], 23/5971968], [[[1, 3], [2, 4], [3, 1], [5, 1], [6, 2], [30, 1]], 23/7464960], [[[1, 3], [2, 4], [3, 1], [5, 1], [6, 3], [7, 1]], 1/4354560], [[[1, 3], [2, 4], [3, 1], [5, 1], [6, 3], [9, 1]], 23/100776960], [[[1, 3], [2, 4], [3, 1], [5, 1], [6, 3], [14, 1]], 1/2177280], [[[1, 3], [2, 4], [3, 1], [5, 1], [6, 3], [18, 1]], 389/201553920], [[[1, 3], [2, 4], [3, 1], [5, 1], [6, 4], [8, 1]], 407/3583180800], [[[1, 3], [2, 4], [3, 1], [5, 1], [6, 4], [10, 1]], 4403/1866240000], [[[1, 3], [2, 4], [3, 1], [5, 1], [6, 4], [12, 1]], 5219/10749542400], [[[1, 3], [2, 4], [3, 1], [5, 1], [7, 1], [9, 1]], 1/80640], [[[1, 3], [2, 4], [3, 1], [5, 1], [7, 1], [14, 1]], 3/15680], [[[1, 3], [2, 4], [3, 1], [5, 1], [7, 1], [18, 1]], 1/60480], [[[1, 3], [2, 4], [3, 1], [5, 1], [8, 1], [10, 2]], 7/13824000], [[[1, 3], [2, 4], [3, 1], [5, 1], [8, 1], [12, 2]], 7/6635520], [[[1, 3], [2, 4], [3, 1], [5, 1], [8, 1], [15, 1]], 7/691200], [[[1, 3], [2, 4], [3, 1], [5, 1], [8, 1], [16, 1]], 1/30720], [[[1, 3], [2, 4], [3, 1], [5, 1], [8, 1], [20, 1]], 7/460800], [[[1, 3], [2, 4], [3, 1], [5, 1], [8, 1], [24, 1]], 7/552960], [[[1, 3], [2, 4], [3, 1], [5, 1], [8, 1], [30, 1]], 7/691200], [[[1, 3], [2, 4], [3, 1], [5, 1], [8, 2], [10, 1]], 1/768000], [[[1, 3], [2, 4], [3, 1], [5, 1], [8, 2], [12, 1]], 1/1474560], [[[1, 3], [2, 4], [3, 1], [5, 1], [9, 1], [14, 1]], 1/25920], [[[1, 3], [2, 4], [3, 1], [5, 1], [9, 1], [18, 1]], 77/1399680], [[[1, 3], [2, 4], [3, 1], [5, 1], [10, 1], [12, 2]], 1/1152000], [[[1, 3], [2, 4], [3, 1], [5, 1], [10, 1], [15, 1]], 1/120000], [[[1, 3], [2, 4], [3, 1], [5, 1], [10, 1], [20, 1]], 1/80000], [[[1, 3], [2, 4], [3, 1], [5, 1], [10, 1], [24, 1]], 1/96000], [[[1, 3], [2, 4], [3, 1], [5, 1], [10, 1], [30, 1]], 1/120000], [[[1, 3], [2, 4], [3, 1], [5, 1], [10, 2], [12, 1]], 1/4608000], [[[1, 3], [2, 4], [3, 1], [5, 1], [12, 1], [15, 1]], 1/230400], [[[1, 3], [2, 4], [3, 1], [5, 1], [12, 1], [20, 1]], 1/153600], [[[1, 3], [2, 4], [3, 1], [5, 1], [12, 1], [24, 1]], 1/184320], [[[1, 3], [2, 4], [3, 1], [5, 1], [12, 1], [30, 1]], 1/230400], [[[1, 3], [2, 4], [3, 1], [5, 1], [14, 1], [18, 1]], 1/30240], [[[1, 3], [2, 4], [3, 1], [5, 2], [6, 1], [7, 1]], 1/806400], [[[1, 3], [2, 4], [3, 1], [5, 2], [6, 1], [9, 1]], 67/74649600], [[[1, 3], [2, 4], [3, 1], [5, 2], [6, 1], [14, 1]], 1/483840], [[[1, 3], [2, 4], [3, 1], [5, 2], [6, 1], [18, 1]], 1357/447897600], [[[1, 3], [2, 4], [3, 1], [5, 2], [6, 2], [8, 1]], 151/199065600], [[[1, 3], [2, 4], [3, 1], [5, 2], [6, 2], [10, 1]], 643/622080000], [[[1, 3], [2, 4], [3, 1], [5, 2], [6, 2], [12, 1]], 9223/7166361600], [[[1, 3], [2, 4], [3, 1], [5, 2], [8, 1], [10, 1]], 1/2764800], [[[1, 3], [2, 4], [3, 1], [5, 2], [8, 1], [12, 1]], 11/33177600], [[[1, 3], [2, 4], [3, 1], [5, 2], [10, 1], [12, 1]], 43/103680000], [[[1, 3], [2, 4], [3, 1], [6, 1], [7, 1], [8, 2]], 1/36864], [[[1, 3], [2, 4], [3, 1], [6, 1], [7, 1], [10, 2]], 1/806400], [[[1, 3], [2, 4], [3, 1], [6, 1], [7, 1], [12, 2]], 31/1161216], [[[1, 3], [2, 4], [3, 1], [6, 1], [7, 1], [15, 1]], 1/40320], [[[1, 3], [2, 4], [3, 1], [6, 1], [7, 1], [20, 1]], 1/26880], [[[1, 3], [2, 4], [3, 1], [6, 1], [7, 1], [24, 1]], 1/10752], [[[1, 3], [2, 4], [3, 1], [6, 1], [7, 1], [30, 1]], 1/40320], [[[1, 3], [2, 4], [3, 1], [6, 1], [8, 2], [9, 1]], 583/23887872], [[[1, 3], [2, 4], [3, 1], [6, 1], [8, 2], [14, 1]], 41/774144], [[[1, 3], [2, 4], [3, 1], [6, 1], [8, 2], [18, 1]], 4453/143327232], [[[1, 3], [2, 4], [3, 1], [6, 1], [9, 1], [10, 2]], 451/74649600], [[[1, 3], [2, 4], [3, 1], [6, 1], [9, 1], [12, 2]], 691/35831808], [[[1, 3], [2, 4], [3, 1], [6, 1], [9, 1], [15, 1]], 67/3732480], [[[1, 3], [2, 4], [3, 1], [6, 1], [9, 1], [20, 1]], 67/2488320], [[[1, 3], [2, 4], [3, 1], [6, 1], [9, 1], [24, 1]], 211/2985984], [[[1, 3], [2, 4], [3, 1], [6, 1], [9, 1], [30, 1]], 67/3732480], [[[1, 3], [2, 4], [3, 1], [6, 1], [10, 2], [14, 1]], 1/483840], [[[1, 3], [2, 4], [3, 1], [6, 1], [10, 2], [18, 1]], 493/447897600], [[[1, 3], [2, 4], [3, 1], [6, 1], [12, 2], [14, 1]], 55/1161216], [[[1, 3], [2, 4], [3, 1], [6, 1], [12, 2], [18, 1]], 5293/214990848], [[[1, 3], [2, 4], [3, 1], [6, 1], [14, 1], [15, 1]], 1/24192], [[[1, 3], [2, 4], [3, 1], [6, 1], [14, 1], [20, 1]], 1/16128], [[[1, 3], [2, 4], [3, 1], [6, 1], [14, 1], [24, 1]], 17/96768], [[[1, 3], [2, 4], [3, 1], [6, 1], [14, 1], [30, 1]], 1/24192], [[[1, 3], [2, 4], [3, 1], [6, 1], [15, 1], [18, 1]], 493/22394880], [[[1, 3], [2, 4], [3, 1], [6, 1], [18, 1], [20, 1]], 493/14929920], [[[1, 3], [2, 4], [3, 1], [6, 1], [18, 1], [24, 1]], 1645/17915904], [[[1, 3], [2, 4], [3, 1], [6, 1], [18, 1], [30, 1]], 493/22394880], [[[1, 3], [2, 4], [3, 1], [6, 2], [7, 1], [9, 1]], 71/15676416], [[[1, 3], [2, 4], [3, 1], [6, 2], [7, 1], [14, 1]], 13/338688], [[[1, 3], [2, 4], [3, 1], [6, 2], [7, 1], [18, 1]], 11/653184], [[[1, 3], [2, 4], [3, 1], [6, 2], [8, 1], [10, 2]], 203/39813120], [[[1, 3], [2, 4], [3, 1], [6, 2], [8, 1], [12, 2]], 1777/95551488], [[[1, 3], [2, 4], [3, 1], [6, 2], [8, 1], [15, 1]], 151/9953280], [[[1, 3], [2, 4], [3, 1], [6, 2], [8, 1], [16, 1]], 1/147456], [[[1, 3], [2, 4], [3, 1], [6, 2], [8, 1], [20, 1]], 151/6635520], [[[1, 3], [2, 4], [3, 1], [6, 2], [8, 1], [24, 1]], 439/7962624], [[[1, 3], [2, 4], [3, 1], [6, 2], [8, 1], [30, 1]], 151/9953280], [[[1, 3], [2, 4], [3, 1], [6, 2], [8, 2], [10, 1]], 4963/199065600], [[[1, 3], [2, 4], [3, 1], [6, 2], [8, 2], [12, 1]], 54799/2293235712], [[[1, 3], [2, 4], [3, 1], [6, 2], [9, 1], [14, 1]], 5/653184], [[[1, 3], [2, 4], [3, 1], [6, 2], [9, 1], [18, 1]], 19/559872], [[[1, 3], [2, 4], [3, 1], [6, 2], [10, 1], [12, 2]], 6901/298598400], [[[1, 3], [2, 4], [3, 1], [6, 2], [10, 1], [15, 1]], 643/31104000], [[[1, 3], [2, 4], [3, 1], [6, 2], [10, 1], [20, 1]], 643/20736000], [[[1, 3], [2, 4], [3, 1], [6, 2], [10, 1], [24, 1]], 2083/24883200], [[[1, 3], [2, 4], [3, 1], [6, 2], [10, 1], [30, 1]], 643/31104000], [[[1, 3], [2, 4], [3, 1], [6, 2], [10, 2], [12, 1]], 48103/7166361600], [[[1, 3], [2, 4], [3, 1], [6, 2], [12, 1], [15, 1]], 6631/358318080], [[[1, 3], [2, 4], [3, 1], [6, 2], [12, 1], [20, 1]], 6631/238878720], [[[1, 3], [2, 4], [3, 1], [6, 2], [12, 1], [24, 1]], 20455/286654464], [[[1, 3], [2, 4], [3, 1], [6, 2], [12, 1], [30, 1]], 6631/358318080], [[[1, 3], [2, 4], [3, 1], [6, 2], [14, 1], [18, 1]], 73/2612736], [[[1, 3], [2, 4], [3, 1], [6, 3], [7, 1], [8, 1]], 1/653184], [[[1, 3], [2, 4], [3, 1], [6, 3], [7, 1], [10, 1]], 1/290304], [[[1, 3], [2, 4], [3, 1], [6, 3], [7, 1], [12, 1]], 23/4478976], [[[1, 3], [2, 4], [3, 1], [6, 3], [8, 1], [9, 1]], 191/80621568], [[[1, 3], [2, 4], [3, 1], [6, 3], [8, 1], [14, 1]], 5/1492992], [[[1, 3], [2, 4], [3, 1], [6, 3], [8, 1], [18, 1]], 541/53747712], [[[1, 3], [2, 4], [3, 1], [6, 3], [9, 1], [10, 1]], 41/11197440], [[[1, 3], [2, 4], [3, 1], [6, 3], [9, 1], [12, 1]], 1595/322486272], [[[1, 3], [2, 4], [3, 1], [6, 3], [10, 1], [14, 1]], 1/241920], [[[1, 3], [2, 4], [3, 1], [6, 3], [10, 1], [18, 1]], 773/55987200], [[[1, 3], [2, 4], [3, 1], [6, 3], [12, 1], [14, 1]], 265/31352832], [[[1, 3], [2, 4], [3, 1], [6, 3], [12, 1], [18, 1]], 28373/1934917632], [[[1, 3], [2, 4], [3, 1], [6, 4], [8, 1], [10, 1]], 1121/716636160], [[[1, 3], [2, 4], [3, 1], [6, 4], [8, 1], [12, 1]], 25201/8599633920], [[[1, 3], [2, 4], [3, 1], [6, 4], [10, 1], [12, 1]], 109913/26873856000], [[[1, 3], [2, 4], [3, 1], [7, 1], [8, 1], [9, 1]], 5/290304], [[[1, 3], [2, 4], [3, 1], [7, 1], [8, 1], [14, 1]], 17/75264], [[[1, 3], [2, 4], [3, 1], [7, 1], [8, 1], [18, 1]], 5/290304], [[[1, 3], [2, 4], [3, 1], [7, 1], [9, 1], [10, 1]], 1/100800], [[[1, 3], [2, 4], [3, 1], [7, 1], [9, 1], [12, 1]], 1/96768], [[[1, 3], [2, 4], [3, 1], [7, 1], [12, 1], [14, 1]], 13/56448], [[[1, 3], [2, 4], [3, 1], [7, 1], [12, 1], [18, 1]], 1/54432], [[[1, 3], [2, 4], [3, 1], [8, 1], [9, 1], [14, 1]], 1/27648], [[[1, 3], [2, 4], [3, 1], [8, 1], [9, 1], [18, 1]], 37/559872], [[[1, 3], [2, 4], [3, 1], [8, 1], [10, 1], [12, 2]], 1/1327104], [[[1, 3], [2, 4], [3, 1], [8, 1], [10, 1], [15, 1]], 1/138240], [[[1, 3], [2, 4], [3, 1], [8, 1], [10, 1], [20, 1]], 1/92160], [[[1, 3], [2, 4], [3, 1], [8, 1], [10, 1], [24, 1]], 1/110592], [[[1, 3], [2, 4], [3, 1], [8, 1], [10, 1], [30, 1]], 1/138240], [[[1, 3], [2, 4], [3, 1], [8, 1], [10, 2], [12, 1]], 11/33177600], [[[1, 3], [2, 4], [3, 1], [8, 1], [12, 1], [15, 1]], 11/1658880], [[[1, 3], [2, 4], [3, 1], [8, 1], [12, 1], [16, 1]], 1/24576], [[[1, 3], [2, 4], [3, 1], [8, 1], [12, 1], [20, 1]], 11/1105920], [[[1, 3], [2, 4], [3, 1], [8, 1], [12, 1], [24, 1]], 11/1327104], [[[1, 3], [2, 4], [3, 1], [8, 1], [12, 1], [30, 1]], 11/1658880], [[[1, 3], [2, 4], [3, 1], [8, 1], [14, 1], [18, 1]], 1/41472], [[[1, 3], [2, 4], [3, 1], [8, 2], [10, 1], [12, 1]], 43/33177600], [[[1, 3], [2, 4], [3, 1], [9, 1], [10, 1], [14, 1]], 1/90720], [[[1, 3], [2, 4], [3, 1], [9, 1], [10, 1], [18, 1]], 1/155520], [[[1, 3], [2, 4], [3, 1], [9, 1], [12, 1], [14, 1]], 1/36288], [[[1, 3], [2, 4], [3, 1], [9, 1], [12, 1], [18, 1]], 17/279936], [[[1, 3], [2, 4], [3, 1], [10, 1], [12, 1], [15, 1]], 43/5184000], [[[1, 3], [2, 4], [3, 1], [10, 1], [12, 1], [20, 1]], 43/3456000], [[[1, 3], [2, 4], [3, 1], [10, 1], [12, 1], [24, 1]], 43/4147200], [[[1, 3], [2, 4], [3, 1], [10, 1], [12, 1], [30, 1]], 43/5184000], [[[1, 3], [2, 4], [3, 1], [12, 1], [14, 1], [18, 1]], 13/435456], [[[1, 3], [2, 4], [3, 2], [4, 1], [5, 1], [6, 4]], 2371/10749542400], [[[1, 3], [2, 4], [3, 2], [4, 1], [5, 1], [8, 2]], 263/13271040], [[[1, 3], [2, 4], [3, 2], [4, 1], [5, 1], [10, 2]], 11/41472000], [[[1, 3], [2, 4], [3, 2], [4, 1], [5, 1], [12, 2]], 227/19906560], [[[1, 3], [2, 4], [3, 2], [4, 1], [5, 1], [15, 1]], 11/2073600], [[[1, 3], [2, 4], [3, 2], [4, 1], [5, 1], [20, 1]], 11/1382400], [[[1, 3], [2, 4], [3, 2], [4, 1], [5, 1], [24, 1]], 11/1658880], [[[1, 3], [2, 4], [3, 2], [4, 1], [5, 1], [30, 1]], 11/2073600], [[[1, 3], [2, 4], [3, 2], [4, 1], [5, 2], [6, 2]], 2417/1061683200], [[[1, 3], [2, 4], [3, 2], [4, 1], [5, 2], [8, 1]], 7/589824], [[[1, 3], [2, 4], [3, 2], [4, 1], [5, 2], [10, 1]], 1/552960], [[[1, 3], [2, 4], [3, 2], [4, 1], [5, 2], [12, 1]], 12953/1592524800], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 2], [8, 2]], 7309/339738624], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 2], [10, 2]], 701/212336640], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 2], [12, 2]], 24583/509607936], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 2], [15, 1]], 1553/53084160], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 2], [16, 1]], 481/2654208], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 2], [20, 1]], 1553/35389440], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 2], [24, 1]], 10457/42467328], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 2], [30, 1]], 1553/53084160], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 3], [7, 1]], 5/4644864], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 3], [9, 1]], 701/322486272], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 3], [14, 1]], 1/435456], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 3], [18, 1]], 14945/859963392], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 4], [8, 1]], 13631/11466178560], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 4], [10, 1]], 4361/3583180800], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 4], [12, 1]], 93398659/412782428160], [[[1, 3], [2, 4], [3, 2], [4, 1], [7, 1], [9, 1]], 1/217728], [[[1, 3], [2, 4], [3, 2], [4, 1], [7, 1], [14, 1]], 1/32256], [[[1, 3], [2, 4], [3, 2], [4, 1], [8, 1], [10, 2]], 7/14745600], [[[1, 3], [2, 4], [3, 2], [4, 1], [8, 1], [12, 2]], 161/7077888], [[[1, 3], [2, 4], [3, 2], [4, 1], [8, 1], [15, 1]], 7/737280], [[[1, 3], [2, 4], [3, 2], [4, 1], [8, 1], [16, 1]], 5/73728], [[[1, 3], [2, 4], [3, 2], [4, 1], [8, 1], [20, 1]], 53/1474560], [[[1, 3], [2, 4], [3, 2], [4, 1], [8, 1], [24, 1]], 85/1769472], [[[1, 3], [2, 4], [3, 2], [4, 1], [8, 1], [30, 1]], 7/737280], [[[1, 3], [2, 4], [3, 2], [4, 1], [8, 2], [10, 1]], 13/4423680], [[[1, 3], [2, 4], [3, 2], [4, 1], [8, 2], [12, 1]], 14357/509607936], [[[1, 3], [2, 4], [3, 2], [4, 1], [9, 1], [14, 1]], 1/108864], [[[1, 3], [2, 4], [3, 2], [4, 1], [9, 1], [18, 1]], 1/34992], [[[1, 3], [2, 4], [3, 2], [4, 1], [10, 1], [12, 2]], 29/6635520], [[[1, 3], [2, 4], [3, 2], [4, 1], [10, 1], [15, 1]], 1/691200], [[[1, 3], [2, 4], [3, 2], [4, 1], [10, 1], [20, 1]], 1/460800], [[[1, 3], [2, 4], [3, 2], [4, 1], [10, 1], [24, 1]], 1/552960], [[[1, 3], [2, 4], [3, 2], [4, 1], [10, 1], [30, 1]], 1/691200], [[[1, 3], [2, 4], [3, 2], [4, 1], [10, 2], [12, 1]], 2009/1592524800], [[[1, 3], [2, 4], [3, 2], [4, 1], [12, 1], [15, 1]], 569/79626240], [[[1, 3], [2, 4], [3, 2], [4, 1], [12, 1], [16, 1]], 1/49152], [[[1, 3], [2, 4], [3, 2], [4, 1], [12, 1], [20, 1]], 1337/53084160], [[[1, 3], [2, 4], [3, 2], [4, 1], [12, 1], [24, 1]], 1721/63700992], [[[1, 3], [2, 4], [3, 2], [4, 1], [12, 1], [30, 1]], 569/79626240], [[[1, 3], [2, 4], [3, 2], [4, 2], [5, 1], [6, 3]], 727/859963392], [[[1, 3], [2, 4], [3, 2], [4, 2], [5, 1], [9, 1]], 523/119439360], [[[1, 3], [2, 4], [3, 2], [4, 2], [5, 1], [14, 1]], 1/1935360], [[[1, 3], [2, 4], [3, 2], [4, 2], [5, 1], [18, 1]], 1/7464960], [[[1, 3], [2, 4], [3, 2], [4, 2], [5, 2], [6, 1]], 9971/2388787200], [[[1, 3], [2, 4], [3, 2], [4, 2], [6, 1], [8, 2]], 65951/764411904], [[[1, 3], [2, 4], [3, 2], [4, 2], [6, 1], [10, 2]], 439/477757440], [[[1, 3], [2, 4], [3, 2], [4, 2], [6, 1], [12, 2]], 201709/1146617856], [[[1, 3], [2, 4], [3, 2], [4, 2], [6, 1], [15, 1]], 467/119439360], [[[1, 3], [2, 4], [3, 2], [4, 2], [6, 1], [16, 1]], 1/12288], [[[1, 3], [2, 4], [3, 2], [4, 2], [6, 1], [20, 1]], 1619/79626240], [[[1, 3], [2, 4], [3, 2], [4, 2], [6, 1], [24, 1]], 6515/95551488], [[[1, 3], [2, 4], [3, 2], [4, 2], [6, 1], [30, 1]], 467/119439360], [[[1, 3], [2, 4], [3, 2], [4, 2], [6, 2], [7, 1]], 8429/254803968], [[[1, 3], [2, 4], [3, 2], [4, 2], [6, 2], [9, 1]], 589721/20639121408], [[[1, 3], [2, 4], [3, 2], [4, 2], [6, 2], [14, 1]], 3263/49545216], [[[1, 3], [2, 4], [3, 2], [4, 2], [6, 2], [18, 1]], 31235/859963392], [[[1, 3], [2, 4], [3, 2], [4, 2], [6, 3], [8, 1]], 424805/13759414272], [[[1, 3], [2, 4], [3, 2], [4, 2], [6, 3], [10, 1]], 10019/318504960], [[[1, 3], [2, 4], [3, 2], [4, 2], [6, 3], [12, 1]], 2069683/30958682112], [[[1, 3], [2, 4], [3, 2], [4, 2], [7, 1], [12, 1]], 443/297271296], [[[1, 3], [2, 4], [3, 2], [4, 2], [8, 1], [9, 1]], 569/47775744], [[[1, 3], [2, 4], [3, 2], [4, 2], [8, 1], [14, 1]], 1/1548288], [[[1, 3], [2, 4], [3, 2], [4, 2], [8, 1], [18, 1]], 1/5971968], [[[1, 3], [2, 4], [3, 2], [4, 2], [9, 1], [10, 1]], 221/74649600], [[[1, 3], [2, 4], [3, 2], [4, 2], [9, 1], [12, 1]], 27289/3439853568], [[[1, 3], [2, 4], [3, 2], [4, 2], [12, 1], [14, 1]], 131/31850496], [[[1, 3], [2, 4], [3, 2], [4, 2], [12, 1], [18, 1]], 781/429981696], [[[1, 3], [2, 4], [3, 2], [4, 3], [5, 1], [6, 2]], 29933/1274019840], [[[1, 3], [2, 4], [3, 2], [4, 3], [5, 1], [8, 1]], 1/2949120], [[[1, 3], [2, 4], [3, 2], [4, 3], [5, 1], [12, 1]], 1831/637009920], [[[1, 3], [2, 4], [3, 2], [4, 3], [6, 1], [7, 1]], 5/37158912], [[[1, 3], [2, 4], [3, 2], [4, 3], [6, 1], [9, 1]], 1447/143327232], [[[1, 3], [2, 4], [3, 2], [4, 3], [6, 1], [14, 1]], 23/37158912], [[[1, 3], [2, 4], [3, 2], [4, 3], [6, 1], [18, 1]], 41/143327232], [[[1, 3], [2, 4], [3, 2], [4, 3], [6, 2], [8, 1]], 119111/905969664], [[[1, 3], [2, 4], [3, 2], [4, 3], [6, 2], [10, 1]], 661/28311552], [[[1, 3], [2, 4], [3, 2], [4, 3], [6, 2], [12, 1]], 166613/764411904], [[[1, 3], [2, 4], [3, 2], [4, 3], [8, 1], [12, 1]], 18943/1358954496], [[[1, 3], [2, 4], [3, 2], [4, 3], [10, 1], [12, 1]], 5/4718592], [[[1, 3], [2, 4], [3, 2], [4, 4], [5, 1], [6, 1]], 8239/9555148800], [[[1, 3], [2, 4], [3, 2], [4, 4], [6, 1], [8, 1]], 62053/7644119040], [[[1, 3], [2, 4], [3, 2], [4, 4], [6, 1], [10, 1]], 149/1911029760], [[[1, 3], [2, 4], [3, 2], [4, 4], [6, 1], [12, 1]], 2284499/91729428480], [[[1, 3], [2, 4], [3, 2], [5, 1], [6, 1], [8, 2]], 511/39813120], [[[1, 3], [2, 4], [3, 2], [5, 1], [6, 1], [10, 2]], 79/124416000], [[[1, 3], [2, 4], [3, 2], [5, 1], [6, 1], [12, 2]], 793/59719680], [[[1, 3], [2, 4], [3, 2], [5, 1], [6, 1], [15, 1]], 79/6220800], [[[1, 3], [2, 4], [3, 2], [5, 1], [6, 1], [20, 1]], 79/4147200], [[[1, 3], [2, 4], [3, 2], [5, 1], [6, 1], [24, 1]], 223/4976640], [[[1, 3], [2, 4], [3, 2], [5, 1], [6, 1], [30, 1]], 79/6220800], [[[1, 3], [2, 4], [3, 2], [5, 1], [6, 2], [7, 1]], 1/860160], [[[1, 3], [2, 4], [3, 2], [5, 1], [6, 2], [9, 1]], 703/268738560], [[[1, 3], [2, 4], [3, 2], [5, 1], [6, 2], [14, 1]], 11/2903040], [[[1, 3], [2, 4], [3, 2], [5, 1], [6, 2], [18, 1]], 43/4976640], [[[1, 3], [2, 4], [3, 2], [5, 1], [6, 3], [8, 1]], 283/358318080], [[[1, 3], [2, 4], [3, 2], [5, 1], [6, 3], [10, 1]], 101/6220800], [[[1, 3], [2, 4], [3, 2], [5, 1], [6, 3], [12, 1]], 1421/537477120], [[[1, 3], [2, 4], [3, 2], [5, 1], [7, 1], [8, 1]], 1/161280], [[[1, 3], [2, 4], [3, 2], [5, 1], [7, 1], [12, 1]], 1/143360], [[[1, 3], [2, 4], [3, 2], [5, 1], [8, 1], [9, 1]], 13/1244160], [[[1, 3], [2, 4], [3, 2], [5, 1], [8, 1], [14, 1]], 1/53760], [[[1, 3], [2, 4], [3, 2], [5, 1], [8, 1], [18, 1]], 1/124416], [[[1, 3], [2, 4], [3, 2], [5, 1], [9, 1], [10, 1]], 1/216000], [[[1, 3], [2, 4], [3, 2], [5, 1], [9, 1], [12, 1]], 13/1658880], [[[1, 3], [2, 4], [3, 2], [5, 1], [12, 1], [14, 1]], 11/483840], [[[1, 3], [2, 4], [3, 2], [5, 1], [12, 1], [18, 1]], 71/7464960], [[[1, 3], [2, 4], [3, 2], [5, 2], [6, 1], [8, 1]], 217/99532800], [[[1, 3], [2, 4], [3, 2], [5, 2], [6, 1], [10, 1]], 9241/124416000], [[[1, 3], [2, 4], [3, 2], [5, 2], [6, 1], [12, 1]], 869/238878720], [[[1, 3], [2, 4], [3, 2], [6, 1], [7, 1], [9, 1]], 11/653184], [[[1, 3], [2, 4], [3, 2], [6, 1], [7, 1], [14, 1]], 17/338688], [[[1, 3], [2, 4], [3, 2], [6, 1], [7, 1], [18, 1]], 1/186624], [[[1, 3], [2, 4], [3, 2], [6, 1], [8, 1], [10, 2]], 73/99532800], [[[1, 3], [2, 4], [3, 2], [6, 1], [8, 1], [12, 2]], 823/47775744], [[[1, 3], [2, 4], [3, 2], [6, 1], [8, 1], [15, 1]], 73/4976640], [[[1, 3], [2, 4], [3, 2], [6, 1], [8, 1], [16, 1]], 1/110592], [[[1, 3], [2, 4], [3, 2], [6, 1], [8, 1], [20, 1]], 73/3317760], [[[1, 3], [2, 4], [3, 2], [6, 1], [8, 1], [24, 1]], 217/3981312], [[[1, 3], [2, 4], [3, 2], [6, 1], [8, 1], [30, 1]], 73/4976640], [[[1, 3], [2, 4], [3, 2], [6, 1], [8, 2], [10, 1]], 169/39813120], [[[1, 3], [2, 4], [3, 2], [6, 1], [8, 2], [12, 1]], 7477/382205952], [[[1, 3], [2, 4], [3, 2], [6, 1], [9, 1], [14, 1]], 73/2612736], [[[1, 3], [2, 4], [3, 2], [6, 1], [9, 1], [18, 1]], 59/1679616], [[[1, 3], [2, 4], [3, 2], [6, 1], [10, 1], [12, 2]], 367/59719680], [[[1, 3], [2, 4], [3, 2], [6, 1], [10, 1], [15, 1]], 1/248832], [[[1, 3], [2, 4], [3, 2], [6, 1], [10, 1], [20, 1]], 1/165888], [[[1, 3], [2, 4], [3, 2], [6, 1], [10, 1], [24, 1]], 5/995328], [[[1, 3], [2, 4], [3, 2], [6, 1], [10, 1], [30, 1]], 1/248832], [[[1, 3], [2, 4], [3, 2], [6, 1], [10, 2], [12, 1]], 2041/1194393600], [[[1, 3], [2, 4], [3, 2], [6, 1], [12, 1], [15, 1]], 889/59719680], [[[1, 3], [2, 4], [3, 2], [6, 1], [12, 1], [20, 1]], 889/39813120], [[[1, 3], [2, 4], [3, 2], [6, 1], [12, 1], [24, 1]], 2617/47775744], [[[1, 3], [2, 4], [3, 2], [6, 1], [12, 1], [30, 1]], 889/59719680], [[[1, 3], [2, 4], [3, 2], [6, 1], [14, 1], [18, 1]], 5/653184], [[[1, 3], [2, 4], [3, 2], [6, 2], [7, 1], [8, 1]], 17/4644864], [[[1, 3], [2, 4], [3, 2], [6, 2], [7, 1], [10, 1]], 43/9676800], [[[1, 3], [2, 4], [3, 2], [6, 2], [7, 1], [12, 1]], 31/5971968], [[[1, 3], [2, 4], [3, 2], [6, 2], [8, 1], [9, 1]], 791/71663616], [[[1, 3], [2, 4], [3, 2], [6, 2], [8, 1], [14, 1]], 17/2654208], [[[1, 3], [2, 4], [3, 2], [6, 2], [8, 1], [18, 1]], 137/11943936], [[[1, 3], [2, 4], [3, 2], [6, 2], [9, 1], [10, 1]], 209/14929920], [[[1, 3], [2, 4], [3, 2], [6, 2], [9, 1], [12, 1]], 8843/644972544], [[[1, 3], [2, 4], [3, 2], [6, 2], [10, 1], [14, 1]], 11/2903040], [[[1, 3], [2, 4], [3, 2], [6, 2], [10, 1], [18, 1]], 41/8957952], [[[1, 3], [2, 4], [3, 2], [6, 2], [12, 1], [14, 1]], 1/124416], [[[1, 3], [2, 4], [3, 2], [6, 2], [12, 1], [18, 1]], 1337/107495424], [[[1, 3], [2, 4], [3, 2], [6, 3], [8, 1], [10, 1]], 31/9953280], [[[1, 3], [2, 4], [3, 2], [6, 3], [8, 1], [12, 1]], 2201/429981696], [[[1, 3], [2, 4], [3, 2], [6, 3], [10, 1], [12, 1]], 1/245760], [[[1, 3], [2, 4], [3, 2], [7, 1], [8, 1], [12, 1]], 1/110592], [[[1, 3], [2, 4], [3, 2], [7, 1], [10, 1], [12, 1]], 1/537600], [[[1, 3], [2, 4], [3, 2], [8, 1], [9, 1], [10, 1]], 1/248832], [[[1, 3], [2, 4], [3, 2], [8, 1], [9, 1], [12, 1]], 127/11943936], [[[1, 3], [2, 4], [3, 2], [8, 1], [12, 1], [14, 1]], 1/49152], [[[1, 3], [2, 4], [3, 2], [8, 1], [12, 1], [18, 1]], 59/5971968], [[[1, 3], [2, 4], [3, 2], [9, 1], [10, 1], [12, 1]], 43/7464960], [[[1, 3], [2, 4], [3, 2], [10, 1], [12, 1], [14, 1]], 1/483840], [[[1, 3], [2, 4], [3, 2], [10, 1], [12, 1], [18, 1]], 1/829440], [[[1, 3], [2, 4], [3, 3], [4, 1], [5, 1], [6, 3]], 7337/2418647040], [[[1, 3], [2, 4], [3, 3], [4, 1], [5, 1], [7, 1]], 1/5806080], [[[1, 3], [2, 4], [3, 3], [4, 1], [5, 1], [9, 1]], 23/7464960], [[[1, 3], [2, 4], [3, 3], [4, 1], [5, 1], [14, 1]], 1/2488320], [[[1, 3], [2, 4], [3, 3], [4, 1], [5, 1], [18, 1]], 13/67184640], [[[1, 3], [2, 4], [3, 3], [4, 1], [5, 2], [6, 1]], 203/89579520], [[[1, 3], [2, 4], [3, 3], [4, 1], [6, 1], [8, 2]], 113/17915904], [[[1, 3], [2, 4], [3, 3], [4, 1], [6, 1], [10, 2]], 127/447897600], [[[1, 3], [2, 4], [3, 3], [4, 1], [6, 1], [12, 2]], 3641/214990848], [[[1, 3], [2, 4], [3, 3], [4, 1], [6, 1], [15, 1]], 43/22394880], [[[1, 3], [2, 4], [3, 3], [4, 1], [6, 1], [16, 1]], 1/55296], [[[1, 3], [2, 4], [3, 3], [4, 1], [6, 1], [20, 1]], 43/14929920], [[[1, 3], [2, 4], [3, 3], [4, 1], [6, 1], [24, 1]], 367/17915904], [[[1, 3], [2, 4], [3, 3], [4, 1], [6, 1], [30, 1]], 43/22394880], [[[1, 3], [2, 4], [3, 3], [4, 1], [6, 2], [7, 1]], 11/6967296], [[[1, 3], [2, 4], [3, 3], [4, 1], [6, 2], [9, 1]], 14897/859963392], [[[1, 3], [2, 4], [3, 3], [4, 1], [6, 2], [14, 1]], 1/435456], [[[1, 3], [2, 4], [3, 3], [4, 1], [6, 2], [18, 1]], 749/322486272], [[[1, 3], [2, 4], [3, 3], [4, 1], [6, 3], [8, 1]], 64549/7739670528], [[[1, 3], [2, 4], [3, 3], [4, 1], [6, 3], [10, 1]], 10739/2418647040], [[[1, 3], [2, 4], [3, 3], [4, 1], [6, 3], [12, 1]], 4193855/5804752896], [[[1, 3], [2, 4], [3, 3], [4, 1], [7, 1], [8, 1]], 37/55738368], [[[1, 3], [2, 4], [3, 3], [4, 1], [7, 1], [10, 1]], 1/5806080], [[[1, 3], [2, 4], [3, 3], [4, 1], [7, 1], [12, 1]], 1/870912], [[[1, 3], [2, 4], [3, 3], [4, 1], [8, 1], [9, 1]], 413/71663616], [[[1, 3], [2, 4], [3, 3], [4, 1], [8, 1], [14, 1]], 13/9289728], [[[1, 3], [2, 4], [3, 3], [4, 1], [8, 1], [18, 1]], 73/107495424], [[[1, 3], [2, 4], [3, 3], [4, 1], [9, 1], [10, 1]], 7/7464960], [[[1, 3], [2, 4], [3, 3], [4, 1], [9, 1], [12, 1]], 689/143327232], [[[1, 3], [2, 4], [3, 3], [4, 1], [10, 1], [14, 1]], 1/2488320], [[[1, 3], [2, 4], [3, 3], [4, 1], [10, 1], [18, 1]], 13/67184640], [[[1, 3], [2, 4], [3, 3], [4, 1], [12, 1], [14, 1]], 25/10450944], [[[1, 3], [2, 4], [3, 3], [4, 1], [12, 1], [18, 1]], 187/161243136], [[[1, 3], [2, 4], [3, 3], [4, 2], [5, 1], [6, 2]], 62411/3822059520], [[[1, 3], [2, 4], [3, 3], [4, 2], [5, 1], [8, 1]], 17/39813120], [[[1, 3], [2, 4], [3, 3], [4, 2], [5, 1], [10, 1]], 11/8294400], [[[1, 3], [2, 4], [3, 3], [4, 2], [5, 1], [12, 1]], 557/382205952], [[[1, 3], [2, 4], [3, 3], [4, 2], [6, 1], [7, 1]], 1/15676416], [[[1, 3], [2, 4], [3, 3], [4, 2], [6, 1], [9, 1]], 1429/644972544], [[[1, 3], [2, 4], [3, 3], [4, 2], [6, 1], [14, 1]], 25/125411328], [[[1, 3], [2, 4], [3, 3], [4, 2], [6, 1], [18, 1]], 1751/15479341056], [[[1, 3], [2, 4], [3, 3], [4, 2], [6, 2], [8, 1]], 472961/13759414272], [[[1, 3], [2, 4], [3, 3], [4, 2], [6, 2], [10, 1]], 21269/21499084800], [[[1, 3], [2, 4], [3, 3], [4, 2], [6, 2], [12, 1]], 48895021/743008370688], [[[1, 3], [2, 4], [3, 3], [4, 2], [8, 1], [10, 1]], 17/39813120], [[[1, 3], [2, 4], [3, 3], [4, 2], [8, 1], [12, 1]], 30979/6879707136], [[[1, 3], [2, 4], [3, 3], [4, 2], [10, 1], [12, 1]], 1763/2149908480], [[[1, 3], [2, 4], [3, 3], [4, 3], [5, 1], [6, 1]], 71/716636160], [[[1, 3], [2, 4], [3, 3], [4, 3], [6, 1], [8, 1]], 247/143327232], [[[1, 3], [2, 4], [3, 3], [4, 3], [6, 1], [10, 1]], 11/238878720], [[[1, 3], [2, 4], [3, 3], [4, 3], [6, 1], [12, 1]], 30409/3439853568], [[[1, 3], [2, 4], [3, 3], [5, 1], [6, 1], [7, 1]], 1/483840], [[[1, 3], [2, 4], [3, 3], [5, 1], [6, 1], [9, 1]], 19/2239488], [[[1, 3], [2, 4], [3, 3], [5, 1], [6, 1], [14, 1]], 1/241920], [[[1, 3], [2, 4], [3, 3], [5, 1], [6, 1], [18, 1]], 19/7464960], [[[1, 3], [2, 4], [3, 3], [5, 1], [6, 2], [8, 1]], 71/39813120], [[[1, 3], [2, 4], [3, 3], [5, 1], [6, 2], [10, 1]], 443/20736000], [[[1, 3], [2, 4], [3, 3], [5, 1], [6, 2], [12, 1]], 185/71663616], [[[1, 3], [2, 4], [3, 3], [5, 1], [8, 1], [12, 1]], 31/6635520], [[[1, 3], [2, 4], [3, 3], [5, 1], [10, 1], [12, 1]], 1/1152000], [[[1, 3], [2, 4], [3, 3], [6, 1], [7, 1], [8, 1]], 1/435456], [[[1, 3], [2, 4], [3, 3], [6, 1], [7, 1], [10, 1]], 1/2612736], [[[1, 3], [2, 4], [3, 3], [6, 1], [7, 1], [12, 1]], 23/4478976], [[[1, 3], [2, 4], [3, 3], [6, 1], [8, 1], [9, 1]], 29/2985984], [[[1, 3], [2, 4], [3, 3], [6, 1], [8, 1], [14, 1]], 5/1492992], [[[1, 3], [2, 4], [3, 3], [6, 1], [8, 1], [18, 1]], 415/161243136], [[[1, 3], [2, 4], [3, 3], [6, 1], [9, 1], [10, 1]], 83/33592320], [[[1, 3], [2, 4], [3, 3], [6, 1], [9, 1], [12, 1]], 3803/322486272], [[[1, 3], [2, 4], [3, 3], [6, 1], [10, 1], [14, 1]], 1/2177280], [[[1, 3], [2, 4], [3, 3], [6, 1], [10, 1], [18, 1]], 173/503884800], [[[1, 3], [2, 4], [3, 3], [6, 1], [12, 1], [14, 1]], 265/31352832], [[[1, 3], [2, 4], [3, 3], [6, 1], [12, 1], [18, 1]], 9893/1934917632], [[[1, 3], [2, 4], [3, 3], [6, 2], [8, 1], [10, 1]], 121/71663616], [[[1, 3], [2, 4], [3, 3], [6, 2], [8, 1], [12, 1]], 4345/859963392], [[[1, 3], [2, 4], [3, 3], [6, 2], [10, 1], [12, 1]], 11417/2687385600], [[[1, 3], [2, 4], [3, 3], [8, 1], [10, 1], [12, 1]], 1/1327104], [[[1, 3], [2, 4], [3, 4], [4, 1], [5, 1], [6, 2]], 389/429981696], [[[1, 3], [2, 4], [3, 4], [4, 1], [5, 1], [8, 1]], 49/117964800], [[[1, 3], [2, 4], [3, 4], [4, 1], [5, 1], [10, 1]], 1/10368000], [[[1, 3], [2, 4], [3, 4], [4, 1], [5, 1], [12, 1]], 157/199065600], [[[1, 3], [2, 4], [3, 4], [4, 1], [6, 1], [7, 1]], 41/418037760], [[[1, 3], [2, 4], [3, 4], [4, 1], [6, 1], [9, 1]], 737/644972544], [[[1, 3], [2, 4], [3, 4], [4, 1], [6, 1], [14, 1]], 71/313528320], [[[1, 3], [2, 4], [3, 4], [4, 1], [6, 1], [18, 1]], 12001/77396705280], [[[1, 3], [2, 4], [3, 4], [4, 1], [6, 2], [8, 1]], 35821/25798901760], [[[1, 3], [2, 4], [3, 4], [4, 1], [6, 2], [10, 1]], 2941/10749542400], [[[1, 3], [2, 4], [3, 4], [4, 1], [6, 2], [12, 1]], 995393/137594142720], [[[1, 3], [2, 4], [3, 4], [4, 1], [8, 1], [10, 1]], 2573/23887872000], [[[1, 3], [2, 4], [3, 4], [4, 1], [8, 1], [12, 1]], 73/47775744], [[[1, 3], [2, 4], [3, 4], [4, 1], [10, 1], [12, 1]], 91/358318080], [[[1, 3], [2, 4], [3, 4], [4, 2], [5, 1], [6, 1]], 4219/42998169600], [[[1, 3], [2, 4], [3, 4], [4, 2], [6, 1], [8, 1]], 175741/137594142720], [[[1, 3], [2, 4], [3, 4], [4, 2], [6, 1], [10, 1]], 2147/28665446400], [[[1, 3], [2, 4], [3, 4], [4, 2], [6, 1], [12, 1]], 71525/20639121408], [[[1, 3], [2, 4], [3, 4], [5, 1], [6, 1], [8, 1]], 427/398131200], [[[1, 3], [2, 4], [3, 4], [5, 1], [6, 1], [10, 1]], 1001/559872000], [[[1, 3], [2, 4], [3, 4], [5, 1], [6, 1], [12, 1]], 13517/5374771200], [[[1, 3], [2, 4], [3, 4], [6, 1], [8, 1], [10, 1]], 143/895795200], [[[1, 3], [2, 4], [3, 4], [6, 1], [8, 1], [12, 1]], 12137/4299816960], [[[1, 3], [2, 4], [3, 4], [6, 1], [10, 1], [12, 1]], 1073/1791590400], [[[1, 3], [2, 4], [3, 5], [4, 1], [5, 1], [6, 1]], 197/2687385600], [[[1, 3], [2, 4], [3, 5], [4, 1], [6, 1], [8, 1]], 463/2866544640], [[[1, 3], [2, 4], [3, 5], [4, 1], [6, 1], [10, 1]], 79/2687385600], [[[1, 3], [2, 4], [3, 5], [4, 1], [6, 1], [12, 1]], 2027/6449725440], [[[1, 3], [2, 4], [4, 1], [5, 1], [6, 2], [8, 2]], 41/13271040], [[[1, 3], [2, 4], [4, 1], [5, 1], [6, 2], [10, 2]], 221/41472000], [[[1, 3], [2, 4], [4, 1], [5, 1], [6, 2], [12, 2]], 113/19906560], [[[1, 3], [2, 4], [4, 1], [5, 1], [6, 2], [15, 1]], 1/414720], [[[1, 3], [2, 4], [4, 1], [5, 1], [6, 2], [20, 1]], 1/276480], [[[1, 3], [2, 4], [4, 1], [5, 1], [6, 2], [24, 1]], 1/331776], [[[1, 3], [2, 4], [4, 1], [5, 1], [6, 2], [30, 1]], 1/414720], [[[1, 3], [2, 4], [4, 1], [5, 1], [6, 3], [7, 1]], 1/3483648], [[[1, 3], [2, 4], [4, 1], [5, 1], [6, 3], [9, 1]], 13/67184640], [[[1, 3], [2, 4], [4, 1], [5, 1], [6, 3], [14, 1]], 1/2488320], [[[1, 3], [2, 4], [4, 1], [5, 1], [6, 3], [18, 1]], 7/4478976], [[[1, 3], [2, 4], [4, 1], [5, 1], [6, 4], [8, 1]], 443/3185049600], [[[1, 3], [2, 4], [4, 1], [5, 1], [6, 4], [10, 1]], 19/93312000], [[[1, 3], [2, 4], [4, 1], [5, 1], [6, 4], [12, 1]], 251/597196800], [[[1, 3], [2, 4], [4, 1], [5, 1], [7, 1], [9, 1]], 1/80640], [[[1, 3], [2, 4], [4, 1], [5, 1], [7, 1], [14, 1]], 3/7840], [[[1, 3], [2, 4], [4, 1], [5, 1], [7, 1], [18, 1]], 1/48384], [[[1, 3], [2, 4], [4, 1], [5, 1], [8, 1], [10, 2]], 4849/36864000], [[[1, 3], [2, 4], [4, 1], [5, 1], [8, 1], [12, 2]], 49/17694720], [[[1, 3], [2, 4], [4, 1], [5, 1], [8, 1], [15, 1]], 49/1843200], [[[1, 3], [2, 4], [4, 1], [5, 1], [8, 1], [16, 1]], 3/10240], [[[1, 3], [2, 4], [4, 1], [5, 1], [8, 1], [20, 1]], 29/245760], [[[1, 3], [2, 4], [4, 1], [5, 1], [8, 1], [24, 1]], 241/1474560], [[[1, 3], [2, 4], [4, 1], [5, 1], [8, 1], [30, 1]], 49/1843200], [[[1, 3], [2, 4], [4, 1], [5, 1], [8, 2], [10, 1]], 13/102400], [[[1, 3], [2, 4], [4, 1], [5, 1], [8, 2], [12, 1]], 1/737280], [[[1, 3], [2, 4], [4, 1], [5, 1], [9, 1], [14, 1]], 1/34560], [[[1, 3], [2, 4], [4, 1], [5, 1], [9, 1], [18, 1]], 37/233280], [[[1, 3], [2, 4], [4, 1], [5, 1], [10, 1], [12, 2]], 1/115200], [[[1, 3], [2, 4], [4, 1], [5, 1], [10, 1], [15, 1]], 1/12000], [[[1, 3], [2, 4], [4, 1], [5, 1], [10, 1], [20, 1]], 1/8000], [[[1, 3], [2, 4], [4, 1], [5, 1], [10, 1], [24, 1]], 1/9600], [[[1, 3], [2, 4], [4, 1], [5, 1], [10, 1], [30, 1]], 1/12000], [[[1, 3], [2, 4], [4, 1], [5, 1], [10, 2], [12, 1]], 1/2304000], [[[1, 3], [2, 4], [4, 1], [5, 1], [12, 1], [15, 1]], 1/115200], [[[1, 3], [2, 4], [4, 1], [5, 1], [12, 1], [16, 1]], 1/15360], [[[1, 3], [2, 4], [4, 1], [5, 1], [12, 1], [20, 1]], 1/15360], [[[1, 3], [2, 4], [4, 1], [5, 1], [12, 1], [24, 1]], 7/92160], [[[1, 3], [2, 4], [4, 1], [5, 1], [12, 1], [30, 1]], 1/115200], [[[1, 3], [2, 4], [4, 1], [5, 1], [14, 1], [18, 1]], 1/34560], [[[1, 3], [2, 4], [4, 1], [5, 2], [6, 1], [7, 1]], 1/1612800], [[[1, 3], [2, 4], [4, 1], [5, 2], [6, 1], [9, 1]], 1/2488320], [[[1, 3], [2, 4], [4, 1], [5, 2], [6, 1], [14, 1]], 1/1209600], [[[1, 3], [2, 4], [4, 1], [5, 2], [6, 1], [18, 1]], 41/11943936], [[[1, 3], [2, 4], [4, 1], [5, 2], [6, 2], [8, 1]], 137/199065600], [[[1, 3], [2, 4], [4, 1], [5, 2], [6, 2], [10, 1]], 7/13824000], [[[1, 3], [2, 4], [4, 1], [5, 2], [6, 2], [12, 1]], 1753/1592524800], [[[1, 3], [2, 4], [4, 1], [5, 2], [8, 1], [10, 1]], 7373/92160000], [[[1, 3], [2, 4], [4, 1], [5, 2], [8, 1], [12, 1]], 1/737280], [[[1, 3], [2, 4], [4, 1], [5, 2], [10, 1], [12, 1]], 1/1382400], [[[1, 3], [2, 4], [4, 1], [6, 1], [7, 1], [8, 2]], 19/516096], [[[1, 3], [2, 4], [4, 1], [6, 1], [7, 1], [10, 2]], 37/1612800], [[[1, 3], [2, 4], [4, 1], [6, 1], [7, 1], [12, 2]], 1/36864], [[[1, 3], [2, 4], [4, 1], [6, 1], [7, 1], [15, 1]], 1/80640], [[[1, 3], [2, 4], [4, 1], [6, 1], [7, 1], [20, 1]], 1/53760], [[[1, 3], [2, 4], [4, 1], [6, 1], [7, 1], [24, 1]], 1/64512], [[[1, 3], [2, 4], [4, 1], [6, 1], [7, 1], [30, 1]], 1/80640], [[[1, 3], [2, 4], [4, 1], [6, 1], [8, 2], [9, 1]], 107/3981312], [[[1, 3], [2, 4], [4, 1], [6, 1], [8, 2], [14, 1]], 103/1548288], [[[1, 3], [2, 4], [4, 1], [6, 1], [8, 2], [18, 1]], 5021/95551488], [[[1, 3], [2, 4], [4, 1], [6, 1], [9, 1], [10, 2]], 173/12441600], [[[1, 3], [2, 4], [4, 1], [6, 1], [9, 1], [12, 2]], 109/5971968], [[[1, 3], [2, 4], [4, 1], [6, 1], [9, 1], [15, 1]], 1/124416], [[[1, 3], [2, 4], [4, 1], [6, 1], [9, 1], [20, 1]], 1/82944], [[[1, 3], [2, 4], [4, 1], [6, 1], [9, 1], [24, 1]], 5/497664], [[[1, 3], [2, 4], [4, 1], [6, 1], [9, 1], [30, 1]], 1/124416], [[[1, 3], [2, 4], [4, 1], [6, 1], [10, 2], [14, 1]], 1/43200], [[[1, 3], [2, 4], [4, 1], [6, 1], [10, 2], [18, 1]], 5633/298598400], [[[1, 3], [2, 4], [4, 1], [6, 1], [12, 2], [14, 1]], 11/290304], [[[1, 3], [2, 4], [4, 1], [6, 1], [12, 2], [18, 1]], 3041/143327232], [[[1, 3], [2, 4], [4, 1], [6, 1], [14, 1], [15, 1]], 1/60480], [[[1, 3], [2, 4], [4, 1], [6, 1], [14, 1], [20, 1]], 1/40320], [[[1, 3], [2, 4], [4, 1], [6, 1], [14, 1], [24, 1]], 1/48384], [[[1, 3], [2, 4], [4, 1], [6, 1], [14, 1], [30, 1]], 1/60480], [[[1, 3], [2, 4], [4, 1], [6, 1], [15, 1], [18, 1]], 161/14929920], [[[1, 3], [2, 4], [4, 1], [6, 1], [16, 1], [18, 1]], 1/82944], [[[1, 3], [2, 4], [4, 1], [6, 1], [18, 1], [20, 1]], 161/9953280], [[[1, 3], [2, 4], [4, 1], [6, 1], [18, 1], [24, 1]], 161/11943936], [[[1, 3], [2, 4], [4, 1], [6, 1], [18, 1], [30, 1]], 161/14929920], [[[1, 3], [2, 4], [4, 1], [6, 2], [7, 1], [14, 1]], 5/96768], [[[1, 3], [2, 4], [4, 1], [6, 2], [7, 1], [18, 1]], 1/145152], [[[1, 3], [2, 4], [4, 1], [6, 2], [8, 1], [10, 2]], 5537/199065600], [[[1, 3], [2, 4], [4, 1], [6, 2], [8, 1], [12, 2]], 3053/95551488], [[[1, 3], [2, 4], [4, 1], [6, 2], [8, 1], [15, 1]], 137/9953280], [[[1, 3], [2, 4], [4, 1], [6, 2], [8, 1], [16, 1]], 25/221184], [[[1, 3], [2, 4], [4, 1], [6, 2], [8, 1], [20, 1]], 377/6635520], [[[1, 3], [2, 4], [4, 1], [6, 2], [8, 1], [24, 1]], 617/7962624], [[[1, 3], [2, 4], [4, 1], [6, 2], [8, 1], [30, 1]], 137/9953280], [[[1, 3], [2, 4], [4, 1], [6, 2], [8, 2], [10, 1]], 151/4423680], [[[1, 3], [2, 4], [4, 1], [6, 2], [8, 2], [12, 1]], 17557/509607936], [[[1, 3], [2, 4], [4, 1], [6, 2], [9, 1], [18, 1]], 25/559872], [[[1, 3], [2, 4], [4, 1], [6, 2], [10, 1], [12, 2]], 53/2211840], [[[1, 3], [2, 4], [4, 1], [6, 2], [10, 1], [15, 1]], 7/691200], [[[1, 3], [2, 4], [4, 1], [6, 2], [10, 1], [20, 1]], 7/460800], [[[1, 3], [2, 4], [4, 1], [6, 2], [10, 1], [24, 1]], 7/552960], [[[1, 3], [2, 4], [4, 1], [6, 2], [10, 1], [30, 1]], 7/691200], [[[1, 3], [2, 4], [4, 1], [6, 2], [10, 2], [12, 1]], 32281/1592524800], [[[1, 3], [2, 4], [4, 1], [6, 2], [12, 1], [15, 1]], 889/79626240], [[[1, 3], [2, 4], [4, 1], [6, 2], [12, 1], [16, 1]], 43/1327104], [[[1, 3], [2, 4], [4, 1], [6, 2], [12, 1], [20, 1]], 241/5898240], [[[1, 3], [2, 4], [4, 1], [6, 2], [12, 1], [24, 1]], 2809/63700992], [[[1, 3], [2, 4], [4, 1], [6, 2], [12, 1], [30, 1]], 889/79626240], [[[1, 3], [2, 4], [4, 1], [6, 2], [14, 1], [18, 1]], 1/108864], [[[1, 3], [2, 4], [4, 1], [6, 3], [7, 1], [8, 1]], 29/27869184], [[[1, 3], [2, 4], [4, 1], [6, 3], [7, 1], [10, 1]], 1/3483648], [[[1, 3], [2, 4], [4, 1], [6, 3], [7, 1], [12, 1]], 37/20901888], [[[1, 3], [2, 4], [4, 1], [6, 3], [8, 1], [9, 1]], 73/107495424], [[[1, 3], [2, 4], [4, 1], [6, 3], [8, 1], [14, 1]], 13/9289728], [[[1, 3], [2, 4], [4, 1], [6, 3], [8, 1], [18, 1]], 905/107495424], [[[1, 3], [2, 4], [4, 1], [6, 3], [9, 1], [10, 1]], 13/67184640], [[[1, 3], [2, 4], [4, 1], [6, 3], [9, 1], [12, 1]], 187/161243136], [[[1, 3], [2, 4], [4, 1], [6, 3], [10, 1], [14, 1]], 1/2488320], [[[1, 3], [2, 4], [4, 1], [6, 3], [10, 1], [18, 1]], 131/22394880], [[[1, 3], [2, 4], [4, 1], [6, 3], [12, 1], [14, 1]], 25/10450944], [[[1, 3], [2, 4], [4, 1], [6, 3], [12, 1], [18, 1]], 3235/429981696], [[[1, 3], [2, 4], [4, 1], [6, 4], [8, 1], [10, 1]], 18973/23887872000], [[[1, 3], [2, 4], [4, 1], [6, 4], [8, 1], [12, 1]], 1285/573308928], [[[1, 3], [2, 4], [4, 1], [6, 4], [10, 1], [12, 1]], 551/358318080], [[[1, 3], [2, 4], [4, 1], [7, 1], [8, 1], [9, 1]], 37/774144], [[[1, 3], [2, 4], [4, 1], [7, 1], [8, 1], [14, 1]], 331/301056], [[[1, 3], [2, 4], [4, 1], [7, 1], [8, 1], [18, 1]], 29/387072], [[[1, 3], [2, 4], [4, 1], [7, 1], [9, 1], [10, 1]], 1/80640], [[[1, 3], [2, 4], [4, 1], [7, 1], [9, 1], [12, 1]], 1/48384], [[[1, 3], [2, 4], [4, 1], [7, 1], [10, 1], [14, 1]], 43/94080], [[[1, 3], [2, 4], [4, 1], [7, 1], [10, 1], [18, 1]], 1/48384], [[[1, 3], [2, 4], [4, 1], [7, 1], [12, 1], [14, 1]], 17/37632], [[[1, 3], [2, 4], [4, 1], [7, 1], [12, 1], [18, 1]], 5/145152], [[[1, 3], [2, 4], [4, 1], [8, 1], [9, 1], [14, 1]], 13/129024], [[[1, 3], [2, 4], [4, 1], [8, 1], [9, 1], [18, 1]], 559/1492992], [[[1, 3], [2, 4], [4, 1], [8, 1], [10, 1], [12, 2]], 173/44236800], [[[1, 3], [2, 4], [4, 1], [8, 1], [10, 1], [15, 1]], 173/4608000], [[[1, 3], [2, 4], [4, 1], [8, 1], [10, 1], [16, 1]], 7/15360], [[[1, 3], [2, 4], [4, 1], [8, 1], [10, 1], [20, 1]], 191/1024000], [[[1, 3], [2, 4], [4, 1], [8, 1], [10, 1], [24, 1]], 973/3686400], [[[1, 3], [2, 4], [4, 1], [8, 1], [10, 1], [30, 1]], 173/4608000], [[[1, 3], [2, 4], [4, 1], [8, 1], [10, 2], [12, 1]], 1/737280], [[[1, 3], [2, 4], [4, 1], [8, 1], [12, 1], [15, 1]], 1/36864], [[[1, 3], [2, 4], [4, 1], [8, 1], [12, 1], [16, 1]], 13/73728], [[[1, 3], [2, 4], [4, 1], [8, 1], [12, 1], [20, 1]], 43/368640], [[[1, 3], [2, 4], [4, 1], [8, 1], [12, 1], [24, 1]], 19/147456], [[[1, 3], [2, 4], [4, 1], [8, 1], [12, 1], [30, 1]], 1/36864], [[[1, 3], [2, 4], [4, 1], [8, 1], [14, 1], [18, 1]], 13/129024], [[[1, 3], [2, 4], [4, 1], [8, 2], [10, 1], [12, 1]], 1/442368], [[[1, 3], [2, 4], [4, 1], [9, 1], [10, 1], [14, 1]], 1/34560], [[[1, 3], [2, 4], [4, 1], [9, 1], [10, 1], [18, 1]], 101/466560], [[[1, 3], [2, 4], [4, 1], [9, 1], [12, 1], [14, 1]], 1/20736], [[[1, 3], [2, 4], [4, 1], [9, 1], [12, 1], [18, 1]], 67/559872], [[[1, 3], [2, 4], [4, 1], [10, 1], [12, 1], [15, 1]], 1/69120], [[[1, 3], [2, 4], [4, 1], [10, 1], [12, 1], [16, 1]], 1/9216], [[[1, 3], [2, 4], [4, 1], [10, 1], [12, 1], [20, 1]], 1/9216], [[[1, 3], [2, 4], [4, 1], [10, 1], [12, 1], [24, 1]], 7/55296], [[[1, 3], [2, 4], [4, 1], [10, 1], [12, 1], [30, 1]], 1/69120], [[[1, 3], [2, 4], [4, 1], [10, 1], [14, 1], [18, 1]], 1/34560], [[[1, 3], [2, 4], [4, 1], [12, 1], [14, 1], [18, 1]], 1/20736], [[[1, 3], [2, 4], [4, 2], [5, 1], [6, 1], [8, 2]], 1247/53084160], [[[1, 3], [2, 4], [4, 2], [5, 1], [6, 1], [10, 2]], 19067/165888000], [[[1, 3], [2, 4], [4, 2], [5, 1], [6, 1], [12, 2]], 287/15925248], [[[1, 3], [2, 4], [4, 2], [5, 1], [6, 1], [15, 1]], 59/8294400], [[[1, 3], [2, 4], [4, 2], [5, 1], [6, 1], [20, 1]], 59/5529600], [[[1, 3], [2, 4], [4, 2], [5, 1], [6, 1], [24, 1]], 59/6635520], [[[1, 3], [2, 4], [4, 2], [5, 1], [6, 1], [30, 1]], 59/8294400], [[[1, 3], [2, 4], [4, 2], [5, 1], [6, 2], [18, 1]], 59/14929920], [[[1, 3], [2, 4], [4, 2], [5, 1], [6, 3], [8, 1]], 11/19906560], [[[1, 3], [2, 4], [4, 2], [5, 1], [6, 3], [10, 1]], 11/6220800], [[[1, 3], [2, 4], [4, 2], [5, 1], [6, 3], [12, 1]], 2281/2149908480], [[[1, 3], [2, 4], [4, 2], [5, 1], [7, 1], [8, 1]], 3/71680], [[[1, 3], [2, 4], [4, 2], [5, 1], [7, 1], [10, 1]], 11/89600], [[[1, 3], [2, 4], [4, 2], [5, 1], [7, 1], [12, 1]], 1/46080], [[[1, 3], [2, 4], [4, 2], [5, 1], [8, 1], [9, 1]], 17/552960], [[[1, 3], [2, 4], [4, 2], [5, 1], [8, 1], [14, 1]], 11/143360], [[[1, 3], [2, 4], [4, 2], [5, 1], [8, 1], [18, 1]], 11/276480], [[[1, 3], [2, 4], [4, 2], [5, 1], [9, 1], [10, 1]], 11/115200], [[[1, 3], [2, 4], [4, 2], [5, 1], [9, 1], [12, 1]], 7/414720], [[[1, 3], [2, 4], [4, 2], [5, 1], [10, 1], [14, 1]], 11/44800], [[[1, 3], [2, 4], [4, 2], [5, 1], [10, 1], [18, 1]], 11/86400], [[[1, 3], [2, 4], [4, 2], [5, 1], [12, 1], [14, 1]], 11/241920], [[[1, 3], [2, 4], [4, 2], [5, 1], [12, 1], [18, 1]], 43/1866240], [[[1, 3], [2, 4], [4, 2], [5, 2], [6, 1], [8, 1]], 2429/530841600], [[[1, 3], [2, 4], [4, 2], [5, 2], [6, 1], [10, 1]], 643/110592000], [[[1, 3], [2, 4], [4, 2], [5, 2], [6, 1], [12, 1]], 227/44236800], [[[1, 3], [2, 4], [4, 2], [6, 1], [7, 1], [9, 1]], 1/497664], [[[1, 3], [2, 4], [4, 2], [6, 1], [7, 1], [14, 1]], 143/903168], [[[1, 3], [2, 4], [4, 2], [6, 1], [7, 1], [18, 1]], 299/55738368], [[[1, 3], [2, 4], [4, 2], [6, 1], [8, 1], [10, 2]], 21437/530841600], [[[1, 3], [2, 4], [4, 2], [6, 1], [8, 1], [12, 2]], 39613/254803968], [[[1, 3], [2, 4], [4, 2], [6, 1], [8, 1], [15, 1]], 701/26542080], [[[1, 3], [2, 4], [4, 2], [6, 1], [8, 1], [16, 1]], 233/589824], [[[1, 3], [2, 4], [4, 2], [6, 1], [8, 1], [20, 1]], 3581/17694720], [[[1, 3], [2, 4], [4, 2], [6, 1], [8, 1], [24, 1]], 4157/21233664], [[[1, 3], [2, 4], [4, 2], [6, 1], [8, 1], [30, 1]], 701/26542080], [[[1, 3], [2, 4], [4, 2], [6, 1], [8, 2], [10, 1]], 5647/35389440], [[[1, 3], [2, 4], [4, 2], [6, 1], [8, 2], [12, 1]], 8941/42467328], [[[1, 3], [2, 4], [4, 2], [6, 1], [9, 1], [14, 1]], 5/3483648], [[[1, 3], [2, 4], [4, 2], [6, 1], [9, 1], [18, 1]], 24935/214990848], [[[1, 3], [2, 4], [4, 2], [6, 1], [10, 1], [12, 2]], 3331/53084160], [[[1, 3], [2, 4], [4, 2], [6, 1], [10, 1], [15, 1]], 67/5529600], [[[1, 3], [2, 4], [4, 2], [6, 1], [10, 1], [16, 1]], 1/7680], [[[1, 3], [2, 4], [4, 2], [6, 1], [10, 1], [20, 1]], 451/3686400], [[[1, 3], [2, 4], [4, 2], [6, 1], [10, 1], [24, 1]], 67/4423680], [[[1, 3], [2, 4], [4, 2], [6, 1], [10, 1], [30, 1]], 67/5529600], [[[1, 3], [2, 4], [4, 2], [6, 1], [10, 2], [12, 1]], 3497/132710400], [[[1, 3], [2, 4], [4, 2], [6, 1], [12, 1], [15, 1]], 7/442368], [[[1, 3], [2, 4], [4, 2], [6, 1], [12, 1], [16, 1]], 7/36864], [[[1, 3], [2, 4], [4, 2], [6, 1], [12, 1], [20, 1]], 55/294912], [[[1, 3], [2, 4], [4, 2], [6, 1], [12, 1], [24, 1]], 187/1769472], [[[1, 3], [2, 4], [4, 2], [6, 1], [12, 1], [30, 1]], 7/442368], [[[1, 3], [2, 4], [4, 2], [6, 1], [14, 1], [18, 1]], 11/1548288], [[[1, 3], [2, 4], [4, 2], [6, 2], [7, 1], [8, 1]], 1/774144], [[[1, 3], [2, 4], [4, 2], [6, 2], [7, 1], [10, 1]], 1/645120], [[[1, 3], [2, 4], [4, 2], [6, 2], [7, 1], [12, 1]], 1621/382205952], [[[1, 3], [2, 4], [4, 2], [6, 2], [8, 1], [9, 1]], 1/1492992], [[[1, 3], [2, 4], [4, 2], [6, 2], [8, 1], [14, 1]], 1/1548288], [[[1, 3], [2, 4], [4, 2], [6, 2], [8, 1], [18, 1]], 725/47775744], [[[1, 3], [2, 4], [4, 2], [6, 2], [9, 1], [10, 1]], 1/1492992], [[[1, 3], [2, 4], [4, 2], [6, 2], [9, 1], [12, 1]], 25615/10319560704], [[[1, 3], [2, 4], [4, 2], [6, 2], [10, 1], [14, 1]], 1/1935360], [[[1, 3], [2, 4], [4, 2], [6, 2], [10, 1], [18, 1]], 71/9953280], [[[1, 3], [2, 4], [4, 2], [6, 2], [12, 1], [14, 1]], 131/31850496], [[[1, 3], [2, 4], [4, 2], [6, 2], [12, 1], [18, 1]], 179/15925248], [[[1, 3], [2, 4], [4, 2], [6, 3], [8, 1], [10, 1]], 17/19906560], [[[1, 3], [2, 4], [4, 2], [6, 3], [8, 1], [12, 1]], 43279/6879707136], [[[1, 3], [2, 4], [4, 2], [6, 3], [10, 1], [12, 1]], 473/159252480], [[[1, 3], [2, 4], [4, 2], [7, 1], [8, 1], [10, 1]], 3/71680], [[[1, 3], [2, 4], [4, 2], [7, 1], [8, 1], [12, 1]], 65/387072], [[[1, 3], [2, 4], [4, 2], [7, 1], [10, 1], [12, 1]], 1/38400], [[[1, 3], [2, 4], [4, 2], [8, 1], [9, 1], [10, 1]], 17/552960], [[[1, 3], [2, 4], [4, 2], [8, 1], [9, 1], [12, 1]], 95/746496], [[[1, 3], [2, 4], [4, 2], [8, 1], [10, 1], [14, 1]], 11/143360], [[[1, 3], [2, 4], [4, 2], [8, 1], [10, 1], [18, 1]], 11/276480], [[[1, 3], [2, 4], [4, 2], [8, 1], [12, 1], [14, 1]], 125/387072], [[[1, 3], [2, 4], [4, 2], [8, 1], [12, 1], [18, 1]], 125/746496], [[[1, 3], [2, 4], [4, 2], [9, 1], [10, 1], [12, 1]], 89/4665600], [[[1, 3], [2, 4], [4, 2], [10, 1], [12, 1], [14, 1]], 11/241920], [[[1, 3], [2, 4], [4, 2], [10, 1], [12, 1], [18, 1]], 1/41472], [[[1, 3], [2, 4], [4, 3], [5, 1], [6, 1], [7, 1]], 1/645120], [[[1, 3], [2, 4], [4, 3], [5, 1], [6, 1], [9, 1]], 1/1244160], [[[1, 3], [2, 4], [4, 3], [5, 1], [6, 1], [14, 1]], 1/1290240], [[[1, 3], [2, 4], [4, 3], [5, 1], [6, 1], [18, 1]], 13/4423680], [[[1, 3], [2, 4], [4, 3], [5, 1], [6, 2], [8, 1]], 1/2211840], [[[1, 3], [2, 4], [4, 3], [5, 1], [6, 2], [10, 1]], 1/2764800], [[[1, 3], [2, 4], [4, 3], [5, 1], [6, 2], [12, 1]], 1207/637009920], [[[1, 3], [2, 4], [4, 3], [5, 1], [8, 1], [10, 1]], 871/2457600], [[[1, 3], [2, 4], [4, 3], [5, 1], [8, 1], [12, 1]], 607/4423680], [[[1, 3], [2, 4], [4, 3], [5, 1], [10, 1], [12, 1]], 41/230400], [[[1, 3], [2, 4], [4, 3], [6, 1], [7, 1], [8, 1]], 1/172032], [[[1, 3], [2, 4], [4, 3], [6, 1], [7, 1], [10, 1]], 1/368640], [[[1, 3], [2, 4], [4, 3], [6, 1], [7, 1], [12, 1]], 53/6193152], [[[1, 3], [2, 4], [4, 3], [6, 1], [8, 1], [9, 1]], 25/7962624], [[[1, 3], [2, 4], [4, 3], [6, 1], [8, 1], [14, 1]], 1/258048], [[[1, 3], [2, 4], [4, 3], [6, 1], [8, 1], [18, 1]], 7519/254803968], [[[1, 3], [2, 4], [4, 3], [6, 1], [9, 1], [10, 1]], 1/663552], [[[1, 3], [2, 4], [4, 3], [6, 1], [9, 1], [12, 1]], 125/23887872], [[[1, 3], [2, 4], [4, 3], [6, 1], [10, 1], [14, 1]], 1/516096], [[[1, 3], [2, 4], [4, 3], [6, 1], [10, 1], [18, 1]], 149/39813120], [[[1, 3], [2, 4], [4, 3], [6, 1], [12, 1], [14, 1]], 173/18579456], [[[1, 3], [2, 4], [4, 3], [6, 1], [12, 1], [18, 1]], 319/17915904], [[[1, 3], [2, 4], [4, 3], [6, 2], [8, 1], [10, 1]], 1/442368], [[[1, 3], [2, 4], [4, 3], [6, 2], [8, 1], [12, 1]], 257335/12230590464], [[[1, 3], [2, 4], [4, 3], [6, 2], [10, 1], [12, 1]], 443/70778880], [[[1, 3], [2, 4], [4, 3], [8, 1], [10, 1], [12, 1]], 211/1382400], [[[1, 3], [2, 4], [4, 4], [5, 1], [6, 1], [8, 1]], 781/353894400], [[[1, 3], [2, 4], [4, 4], [5, 1], [6, 1], [10, 1]], 1081/165888000], [[[1, 3], [2, 4], [4, 4], [5, 1], [6, 1], [12, 1]], 6887/1592524800], [[[1, 3], [2, 4], [4, 4], [6, 1], [8, 1], [10, 1]], 1321/88473600], [[[1, 3], [2, 4], [4, 4], [6, 1], [8, 1], [12, 1]], 69647/1274019840], [[[1, 3], [2, 4], [4, 4], [6, 1], [10, 1], [12, 1]], 7723/530841600], [[[1, 3], [2, 4], [5, 1], [6, 1], [7, 1], [18, 1]], 1/241920], [[[1, 3], [2, 4], [5, 1], [6, 1], [8, 1], [10, 2]], 1/4608000], [[[1, 3], [2, 4], [5, 1], [6, 1], [8, 1], [12, 2]], 1/2211840], [[[1, 3], [2, 4], [5, 1], [6, 1], [8, 1], [15, 1]], 1/230400], [[[1, 3], [2, 4], [5, 1], [6, 1], [8, 1], [20, 1]], 1/153600], [[[1, 3], [2, 4], [5, 1], [6, 1], [8, 1], [24, 1]], 1/184320], [[[1, 3], [2, 4], [5, 1], [6, 1], [8, 1], [30, 1]], 1/230400], [[[1, 3], [2, 4], [5, 1], [6, 1], [8, 2], [10, 1]], 1/691200], [[[1, 3], [2, 4], [5, 1], [6, 1], [8, 2], [12, 1]], 7/6635520], [[[1, 3], [2, 4], [5, 1], [6, 1], [9, 1], [18, 1]], 1/311040], [[[1, 3], [2, 4], [5, 1], [6, 1], [10, 1], [12, 2]], 1/1036800], [[[1, 3], [2, 4], [5, 1], [6, 1], [10, 1], [15, 1]], 1/108000], [[[1, 3], [2, 4], [5, 1], [6, 1], [10, 1], [20, 1]], 1/72000], [[[1, 3], [2, 4], [5, 1], [6, 1], [10, 1], [24, 1]], 1/86400], [[[1, 3], [2, 4], [5, 1], [6, 1], [10, 1], [30, 1]], 1/108000], [[[1, 3], [2, 4], [5, 1], [6, 1], [10, 2], [12, 1]], 7/20736000], [[[1, 3], [2, 4], [5, 1], [6, 1], [12, 1], [15, 1]], 7/1036800], [[[1, 3], [2, 4], [5, 1], [6, 1], [12, 1], [20, 1]], 7/691200], [[[1, 3], [2, 4], [5, 1], [6, 1], [12, 1], [24, 1]], 7/829440], [[[1, 3], [2, 4], [5, 1], [6, 1], [12, 1], [30, 1]], 7/1036800], [[[1, 3], [2, 4], [5, 1], [6, 1], [14, 1], [18, 1]], 1/90720], [[[1, 3], [2, 4], [5, 1], [6, 2], [7, 1], [12, 1]], 1/1290240], [[[1, 3], [2, 4], [5, 1], [6, 2], [8, 1], [18, 1]], 1/414720], [[[1, 3], [2, 4], [5, 1], [6, 2], [9, 1], [12, 1]], 1/1658880], [[[1, 3], [2, 4], [5, 1], [6, 2], [10, 1], [18, 1]], 1/194400], [[[1, 3], [2, 4], [5, 1], [6, 2], [12, 1], [14, 1]], 1/483840], [[[1, 3], [2, 4], [5, 1], [6, 2], [12, 1], [18, 1]], 7/1492992], [[[1, 3], [2, 4], [5, 1], [6, 3], [8, 1], [12, 1]], 1/2211840], [[[1, 3], [2, 4], [5, 1], [6, 3], [10, 1], [12, 1]], 1/1036800], [[[1, 3], [2, 4], [5, 2], [6, 1], [8, 1], [10, 1]], 1/1152000], [[[1, 3], [2, 4], [5, 2], [6, 1], [8, 1], [12, 1]], 7/16588800], [[[1, 3], [2, 4], [5, 2], [6, 1], [10, 1], [12, 1]], 1/2304000], [[[1, 3], [2, 4], [6, 1], [7, 1], [8, 1], [9, 1]], 1/96768], [[[1, 3], [2, 4], [6, 1], [7, 1], [8, 1], [14, 1]], 17/75264], [[[1, 3], [2, 4], [6, 1], [7, 1], [8, 1], [18, 1]], 1/41472], [[[1, 3], [2, 4], [6, 1], [7, 1], [9, 1], [10, 1]], 1/36288], [[[1, 3], [2, 4], [6, 1], [7, 1], [9, 1], [12, 1]], 1/54432], [[[1, 3], [2, 4], [6, 1], [7, 1], [10, 1], [14, 1]], 17/47040], [[[1, 3], [2, 4], [6, 1], [7, 1], [10, 1], [18, 1]], 13/302400], [[[1, 3], [2, 4], [6, 1], [7, 1], [12, 1], [14, 1]], 17/56448], [[[1, 3], [2, 4], [6, 1], [7, 1], [12, 1], [18, 1]], 11/435456], [[[1, 3], [2, 4], [6, 1], [8, 1], [9, 1], [14, 1]], 1/41472], [[[1, 3], [2, 4], [6, 1], [8, 1], [9, 1], [18, 1]], 145/2239488], [[[1, 3], [2, 4], [6, 1], [8, 1], [10, 1], [12, 2]], 1/552960], [[[1, 3], [2, 4], [6, 1], [8, 1], [10, 1], [15, 1]], 1/57600], [[[1, 3], [2, 4], [6, 1], [8, 1], [10, 1], [16, 1]], 1/15360], [[[1, 3], [2, 4], [6, 1], [8, 1], [10, 1], [20, 1]], 1/38400], [[[1, 3], [2, 4], [6, 1], [8, 1], [10, 1], [24, 1]], 1/46080], [[[1, 3], [2, 4], [6, 1], [8, 1], [10, 1], [30, 1]], 1/57600], [[[1, 3], [2, 4], [6, 1], [8, 1], [10, 2], [12, 1]], 7/16588800], [[[1, 3], [2, 4], [6, 1], [8, 1], [12, 1], [15, 1]], 7/829440], [[[1, 3], [2, 4], [6, 1], [8, 1], [12, 1], [16, 1]], 1/18432], [[[1, 3], [2, 4], [6, 1], [8, 1], [12, 1], [20, 1]], 7/552960], [[[1, 3], [2, 4], [6, 1], [8, 1], [12, 1], [24, 1]], 7/663552], [[[1, 3], [2, 4], [6, 1], [8, 1], [12, 1], [30, 1]], 7/829440], [[[1, 3], [2, 4], [6, 1], [8, 1], [14, 1], [18, 1]], 1/27648], [[[1, 3], [2, 4], [6, 1], [8, 2], [10, 1], [12, 1]], 1/737280], [[[1, 3], [2, 4], [6, 1], [9, 1], [10, 1], [14, 1]], 1/30240], [[[1, 3], [2, 4], [6, 1], [9, 1], [10, 1], [18, 1]], 713/6998400], [[[1, 3], [2, 4], [6, 1], [9, 1], [12, 1], [14, 1]], 13/435456], [[[1, 3], [2, 4], [6, 1], [9, 1], [12, 1], [18, 1]], 67/839808], [[[1, 3], [2, 4], [6, 1], [10, 1], [12, 1], [15, 1]], 1/115200], [[[1, 3], [2, 4], [6, 1], [10, 1], [12, 1], [20, 1]], 1/76800], [[[1, 3], [2, 4], [6, 1], [10, 1], [12, 1], [24, 1]], 1/92160], [[[1, 3], [2, 4], [6, 1], [10, 1], [12, 1], [30, 1]], 1/115200], [[[1, 3], [2, 4], [6, 1], [10, 1], [14, 1], [18, 1]], 1/25920], [[[1, 3], [2, 4], [6, 1], [12, 1], [14, 1], [18, 1]], 1/36288], [[[1, 3], [2, 4], [6, 2], [7, 1], [8, 1], [10, 1]], 1/53760], [[[1, 3], [2, 4], [6, 2], [7, 1], [8, 1], [12, 1]], 11/774144], [[[1, 3], [2, 4], [6, 2], [7, 1], [10, 1], [12, 1]], 43/1612800], [[[1, 3], [2, 4], [6, 2], [8, 1], [9, 1], [10, 1]], 7/622080], [[[1, 3], [2, 4], [6, 2], [8, 1], [9, 1], [12, 1]], 115/11943936], [[[1, 3], [2, 4], [6, 2], [8, 1], [10, 1], [14, 1]], 1/53760], [[[1, 3], [2, 4], [6, 2], [8, 1], [10, 1], [18, 1]], 13/622080], [[[1, 3], [2, 4], [6, 2], [8, 1], [12, 1], [14, 1]], 1/49152], [[[1, 3], [2, 4], [6, 2], [8, 1], [12, 1], [18, 1]], 95/5971968], [[[1, 3], [2, 4], [6, 2], [9, 1], [10, 1], [12, 1]], 563/37324800], [[[1, 3], [2, 4], [6, 2], [10, 1], [12, 1], [14, 1]], 11/483840], [[[1, 3], [2, 4], [6, 2], [10, 1], [12, 1], [18, 1]], 47/2488320], [[[1, 3], [2, 4], [6, 3], [8, 1], [10, 1], [12, 1]], 17/1658880], [[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [6, 4]], 28217/107495424000], [[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [8, 2]], 647/132710400], [[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [10, 2]], 881/414720000], [[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [12, 2]], 17/199065600], [[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [15, 1]], 17/20736000], [[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [20, 1]], 17/13824000], [[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [24, 1]], 17/16588800], [[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [30, 1]], 17/20736000], [[[1, 3], [2, 6], [3, 1], [4, 1], [5, 2], [6, 2]], 337/373248000], [[[1, 3], [2, 6], [3, 1], [4, 1], [5, 2], [8, 1]], 2567/1769472000], [[[1, 3], [2, 6], [3, 1], [4, 1], [5, 2], [10, 1]], 3649/1658880000], [[[1, 3], [2, 6], [3, 1], [4, 1], [5, 2], [12, 1]], 29/995328000], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 2], [8, 2]], 15821/955514880], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 2], [10, 2]], 2933/186624000], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 2], [12, 2]], 40027/1433272320], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 2], [15, 1]], 97/18662400], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 2], [16, 1]], 17/3317760], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 2], [20, 1]], 97/12441600], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 2], [24, 1]], 617/29859840], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 2], [30, 1]], 97/18662400], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 3], [7, 1]], 71/62705664], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 3], [9, 1]], 53639/38698352640], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 3], [14, 1]], 919/250822656], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 3], [18, 1]], 7051/1612431360], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 4], [8, 1]], 2294101/1375941427200], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 4], [10, 1]], 845153/429981696000], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 4], [12, 1]], 587309/257989017600], [[[1, 3], [2, 6], [3, 1], [4, 1], [7, 1], [9, 1]], 31/23224320], [[[1, 3], [2, 6], [3, 1], [4, 1], [7, 1], [14, 1]], 145/5419008], [[[1, 3], [2, 6], [3, 1], [4, 1], [7, 1], [18, 1]], 11/3483648], [[[1, 3], [2, 6], [3, 1], [4, 1], [8, 1], [10, 2]], 4391/1769472000], [[[1, 3], [2, 6], [3, 1], [4, 1], [8, 1], [12, 2]], 1127/849346560], [[[1, 3], [2, 6], [3, 1], [4, 1], [8, 1], [15, 1]], 167/88473600], [[[1, 3], [2, 6], [3, 1], [4, 1], [8, 1], [16, 1]], 11/1769472], [[[1, 3], [2, 6], [3, 1], [4, 1], [8, 1], [20, 1]], 661/176947200], [[[1, 3], [2, 6], [3, 1], [4, 1], [8, 1], [24, 1]], 821/212336640], [[[1, 3], [2, 6], [3, 1], [4, 1], [8, 1], [30, 1]], 167/88473600], [[[1, 3], [2, 6], [3, 1], [4, 1], [8, 2], [10, 1]], 5449/530841600], [[[1, 3], [2, 6], [3, 1], [4, 1], [8, 2], [12, 1]], 1559/318504960], [[[1, 3], [2, 6], [3, 1], [4, 1], [9, 1], [14, 1]], 1313/139345920], [[[1, 3], [2, 6], [3, 1], [4, 1], [9, 1], [18, 1]], 4379/537477120], [[[1, 3], [2, 6], [3, 1], [4, 1], [10, 1], [12, 2]], 3457/796262400], [[[1, 3], [2, 6], [3, 1], [4, 1], [10, 1], [15, 1]], 193/82944000], [[[1, 3], [2, 6], [3, 1], [4, 1], [10, 1], [20, 1]], 193/55296000], [[[1, 3], [2, 6], [3, 1], [4, 1], [10, 1], [24, 1]], 193/66355200], [[[1, 3], [2, 6], [3, 1], [4, 1], [10, 1], [30, 1]], 193/82944000], [[[1, 3], [2, 6], [3, 1], [4, 1], [10, 2], [12, 1]], 2477/995328000], [[[1, 3], [2, 6], [3, 1], [4, 1], [12, 1], [15, 1]], 29/49766400], [[[1, 3], [2, 6], [3, 1], [4, 1], [12, 1], [16, 1]], 1/1327104], [[[1, 3], [2, 6], [3, 1], [4, 1], [12, 1], [20, 1]], 49/33177600], [[[1, 3], [2, 6], [3, 1], [4, 1], [12, 1], [24, 1]], 59/39813120], [[[1, 3], [2, 6], [3, 1], [4, 1], [12, 1], [30, 1]], 29/49766400], [[[1, 3], [2, 6], [3, 1], [4, 1], [14, 1], [18, 1]], 5/435456], [[[1, 3], [2, 6], [3, 1], [4, 2], [5, 1], [6, 3]], 15421/17199267840], [[[1, 3], [2, 6], [3, 1], [4, 2], [5, 1], [7, 1]], 1/983040], [[[1, 3], [2, 6], [3, 1], [4, 2], [5, 1], [9, 1]], 2831/2388787200], [[[1, 3], [2, 6], [3, 1], [4, 2], [5, 1], [14, 1]], 13/1376256], [[[1, 3], [2, 6], [3, 1], [4, 2], [5, 1], [18, 1]], 709/238878720], [[[1, 3], [2, 6], [3, 1], [4, 2], [5, 2], [6, 1]], 1078733/429981696000], [[[1, 3], [2, 6], [3, 1], [4, 2], [6, 1], [8, 2]], 9045893/137594142720], [[[1, 3], [2, 6], [3, 1], [4, 2], [6, 1], [10, 2]], 2525069/429981696000], [[[1, 3], [2, 6], [3, 1], [4, 2], [6, 1], [12, 2]], 3436567/206391214080], [[[1, 3], [2, 6], [3, 1], [4, 2], [6, 1], [15, 1]], 67853/21499084800], [[[1, 3], [2, 6], [3, 1], [4, 2], [6, 1], [16, 1]], 101/2949120], [[[1, 3], [2, 6], [3, 1], [4, 2], [6, 1], [20, 1]], 378893/14332723200], [[[1, 3], [2, 6], [3, 1], [4, 2], [6, 1], [24, 1]], 42277/3439853568], [[[1, 3], [2, 6], [3, 1], [4, 2], [6, 1], [30, 1]], 67853/21499084800], [[[1, 3], [2, 6], [3, 1], [4, 2], [6, 2], [7, 1]], 7073/2675441664], [[[1, 3], [2, 6], [3, 1], [4, 2], [6, 2], [9, 1]], 9877/3439853568], [[[1, 3], [2, 6], [3, 1], [4, 2], [6, 2], [14, 1]], 21565/2675441664], [[[1, 3], [2, 6], [3, 1], [4, 2], [6, 2], [18, 1]], 789527/154793410560], [[[1, 3], [2, 6], [3, 1], [4, 2], [6, 3], [8, 1]], 157981/13759414272], [[[1, 3], [2, 6], [3, 1], [4, 2], [6, 3], [10, 1]], 391939/85996339200], [[[1, 3], [2, 6], [3, 1], [4, 2], [6, 3], [12, 1]], 4908043/206391214080], [[[1, 3], [2, 6], [3, 1], [4, 2], [7, 1], [8, 1]], 115/24772608], [[[1, 3], [2, 6], [3, 1], [4, 2], [7, 1], [10, 1]], 31/38707200], [[[1, 3], [2, 6], [3, 1], [4, 2], [7, 1], [12, 1]], 103/63700992], [[[1, 3], [2, 6], [3, 1], [4, 2], [8, 1], [9, 1]], 19843/3822059520], [[[1, 3], [2, 6], [3, 1], [4, 2], [8, 1], [14, 1]], 1355/49545216], [[[1, 3], [2, 6], [3, 1], [4, 2], [8, 1], [18, 1]], 1789/191102976], [[[1, 3], [2, 6], [3, 1], [4, 2], [9, 1], [10, 1]], 1451/796262400], [[[1, 3], [2, 6], [3, 1], [4, 2], [9, 1], [12, 1]], 1703/955514880], [[[1, 3], [2, 6], [3, 1], [4, 2], [10, 1], [14, 1]], 1/153600], [[[1, 3], [2, 6], [3, 1], [4, 2], [10, 1], [18, 1]], 157/74649600], [[[1, 3], [2, 6], [3, 1], [4, 2], [12, 1], [14, 1]], 6557/445906944], [[[1, 3], [2, 6], [3, 1], [4, 2], [12, 1], [18, 1]], 7981/1719926784], [[[1, 3], [2, 6], [3, 1], [4, 3], [5, 1], [6, 2]], 1043/477757440], [[[1, 3], [2, 6], [3, 1], [4, 3], [5, 1], [8, 1]], 301/70778880], [[[1, 3], [2, 6], [3, 1], [4, 3], [5, 1], [10, 1]], 461/73728000], [[[1, 3], [2, 6], [3, 1], [4, 3], [5, 1], [12, 1]], 169/99532800], [[[1, 3], [2, 6], [3, 1], [4, 3], [6, 1], [7, 1]], 29/37158912], [[[1, 3], [2, 6], [3, 1], [4, 3], [6, 1], [9, 1]], 6853/5733089280], [[[1, 3], [2, 6], [3, 1], [4, 3], [6, 1], [14, 1]], 1487/74317824], [[[1, 3], [2, 6], [3, 1], [4, 3], [6, 1], [18, 1]], 33151/5733089280], [[[1, 3], [2, 6], [3, 1], [4, 3], [6, 2], [8, 1]], 727631/30576476160], [[[1, 3], [2, 6], [3, 1], [4, 3], [6, 2], [10, 1]], 27011/2388787200], [[[1, 3], [2, 6], [3, 1], [4, 3], [6, 2], [12, 1]], 4627601/91729428480], [[[1, 3], [2, 6], [3, 1], [4, 3], [8, 1], [10, 1]], 1171/353894400], [[[1, 3], [2, 6], [3, 1], [4, 3], [8, 1], [12, 1]], 2269/188743680], [[[1, 3], [2, 6], [3, 1], [4, 3], [10, 1], [12, 1]], 221/99532800], [[[1, 3], [2, 6], [3, 1], [4, 4], [5, 1], [6, 1]], 1210213/1719926784000], [[[1, 3], [2, 6], [3, 1], [4, 4], [6, 1], [8, 1]], 554263/50960793600], [[[1, 3], [2, 6], [3, 1], [4, 4], [6, 1], [10, 1]], 4181/3822059520], [[[1, 3], [2, 6], [3, 1], [4, 4], [6, 1], [12, 1]], 1858397/165112971264], [[[1, 3], [2, 6], [3, 1], [5, 1], [6, 1], [8, 2]], 5203/7166361600], [[[1, 3], [2, 6], [3, 1], [5, 1], [6, 1], [10, 2]], 981739/22394880000], [[[1, 3], [2, 6], [3, 1], [5, 1], [6, 1], [12, 2]], 11683/10749542400], [[[1, 3], [2, 6], [3, 1], [5, 1], [6, 1], [15, 1]], 1963/1119744000], [[[1, 3], [2, 6], [3, 1], [5, 1], [6, 1], [20, 1]], 1963/746496000], [[[1, 3], [2, 6], [3, 1], [5, 1], [6, 1], [24, 1]], 1963/895795200], [[[1, 3], [2, 6], [3, 1], [5, 1], [6, 1], [30, 1]], 1963/1119744000], [[[1, 3], [2, 6], [3, 1], [5, 1], [6, 2], [7, 1]], 1/967680], [[[1, 3], [2, 6], [3, 1], [5, 1], [6, 2], [9, 1]], 73/67184640], [[[1, 3], [2, 6], [3, 1], [5, 1], [6, 2], [14, 1]], 7/1658880], [[[1, 3], [2, 6], [3, 1], [5, 1], [6, 2], [18, 1]], 641/251942400], [[[1, 3], [2, 6], [3, 1], [5, 1], [6, 3], [8, 1]], 209/358318080], [[[1, 3], [2, 6], [3, 1], [5, 1], [6, 3], [10, 1]], 551/41472000], [[[1, 3], [2, 6], [3, 1], [5, 1], [6, 3], [12, 1]], 14803/10749542400], [[[1, 3], [2, 6], [3, 1], [5, 1], [7, 1], [8, 1]], 1/1290240], [[[1, 3], [2, 6], [3, 1], [5, 1], [7, 1], [10, 1]], 13/4032000], [[[1, 3], [2, 6], [3, 1], [5, 1], [8, 1], [9, 1]], 1/1105920], [[[1, 3], [2, 6], [3, 1], [5, 1], [8, 1], [14, 1]], 1/86016], [[[1, 3], [2, 6], [3, 1], [5, 1], [8, 1], [18, 1]], 17/4976640], [[[1, 3], [2, 6], [3, 1], [5, 1], [9, 1], [10, 1]], 109/31104000], [[[1, 3], [2, 6], [3, 1], [5, 1], [10, 1], [14, 1]], 1/84000], [[[1, 3], [2, 6], [3, 1], [5, 1], [10, 1], [18, 1]], 1/216000], [[[1, 3], [2, 6], [3, 1], [5, 1], [12, 1], [14, 1]], 1/215040], [[[1, 3], [2, 6], [3, 1], [5, 1], [12, 1], [18, 1]], 1/829440], [[[1, 3], [2, 6], [3, 1], [5, 2], [6, 1], [8, 1]], 41/221184000], [[[1, 3], [2, 6], [3, 1], [5, 2], [6, 1], [10, 1]], 523/248832000], [[[1, 3], [2, 6], [3, 1], [5, 2], [6, 1], [12, 1]], 8111/10749542400], [[[1, 3], [2, 6], [3, 1], [6, 1], [7, 1], [9, 1]], 3583/940584960], [[[1, 3], [2, 6], [3, 1], [6, 1], [7, 1], [14, 1]], 1/10752], [[[1, 3], [2, 6], [3, 1], [6, 1], [7, 1], [18, 1]], 31/2985984], [[[1, 3], [2, 6], [3, 1], [6, 1], [8, 1], [10, 2]], 1193/221184000], [[[1, 3], [2, 6], [3, 1], [6, 1], [8, 1], [12, 2]], 983/318504960], [[[1, 3], [2, 6], [3, 1], [6, 1], [8, 1], [15, 1]], 41/11059200], [[[1, 3], [2, 6], [3, 1], [6, 1], [8, 1], [16, 1]], 1/73728], [[[1, 3], [2, 6], [3, 1], [6, 1], [8, 1], [20, 1]], 41/7372800], [[[1, 3], [2, 6], [3, 1], [6, 1], [8, 1], [24, 1]], 3/327680], [[[1, 3], [2, 6], [3, 1], [6, 1], [8, 1], [30, 1]], 41/11059200], [[[1, 3], [2, 6], [3, 1], [6, 1], [8, 2], [10, 1]], 4271/398131200], [[[1, 3], [2, 6], [3, 1], [6, 1], [8, 2], [12, 1]], 8759/3439853568], [[[1, 3], [2, 6], [3, 1], [6, 1], [9, 1], [14, 1]], 601/26127360], [[[1, 3], [2, 6], [3, 1], [6, 1], [9, 1], [18, 1]], 1307/53747712], [[[1, 3], [2, 6], [3, 1], [6, 1], [10, 1], [12, 2]], 859/119439360], [[[1, 3], [2, 6], [3, 1], [6, 1], [10, 1], [15, 1]], 91/12441600], [[[1, 3], [2, 6], [3, 1], [6, 1], [10, 1], [20, 1]], 91/8294400], [[[1, 3], [2, 6], [3, 1], [6, 1], [10, 1], [24, 1]], 1247/49766400], [[[1, 3], [2, 6], [3, 1], [6, 1], [10, 1], [30, 1]], 91/12441600], [[[1, 3], [2, 6], [3, 1], [6, 1], [10, 2], [12, 1]], 62543/10749542400], [[[1, 3], [2, 6], [3, 1], [6, 1], [12, 1], [15, 1]], 67/107495424], [[[1, 3], [2, 6], [3, 1], [6, 1], [12, 1], [20, 1]], 67/71663616], [[[1, 3], [2, 6], [3, 1], [6, 1], [12, 1], [24, 1]], 335/429981696], [[[1, 3], [2, 6], [3, 1], [6, 1], [12, 1], [30, 1]], 67/107495424], [[[1, 3], [2, 6], [3, 1], [6, 1], [14, 1], [18, 1]], 49/1492992], [[[1, 3], [2, 6], [3, 1], [6, 2], [7, 1], [8, 1]], 31/7962624], [[[1, 3], [2, 6], [3, 1], [6, 2], [7, 1], [10, 1]], 877/58060800], [[[1, 3], [2, 6], [3, 1], [6, 2], [7, 1], [12, 1]], 2995/334430208], [[[1, 3], [2, 6], [3, 1], [6, 2], [8, 1], [9, 1]], 3959/1074954240], [[[1, 3], [2, 6], [3, 1], [6, 2], [8, 1], [14, 1]], 1115/55738368], [[[1, 3], [2, 6], [3, 1], [6, 2], [8, 1], [18, 1]], 3293/358318080], [[[1, 3], [2, 6], [3, 1], [6, 2], [9, 1], [10, 1]], 179/14929920], [[[1, 3], [2, 6], [3, 1], [6, 2], [9, 1], [12, 1]], 117017/17199267840], [[[1, 3], [2, 6], [3, 1], [6, 2], [10, 1], [14, 1]], 17/483840], [[[1, 3], [2, 6], [3, 1], [6, 2], [10, 1], [18, 1]], 743/37324800], [[[1, 3], [2, 6], [3, 1], [6, 2], [12, 1], [14, 1]], 4645/167215104], [[[1, 3], [2, 6], [3, 1], [6, 2], [12, 1], [18, 1]], 11291/967458816], [[[1, 3], [2, 6], [3, 1], [6, 3], [8, 1], [10, 1]], 17453/1791590400], [[[1, 3], [2, 6], [3, 1], [6, 3], [8, 1], [12, 1]], 54901/8599633920], [[[1, 3], [2, 6], [3, 1], [6, 3], [10, 1], [12, 1]], 15443/1074954240], [[[1, 3], [2, 6], [3, 1], [7, 1], [8, 1], [10, 1]], 1/268800], [[[1, 3], [2, 6], [3, 1], [7, 1], [8, 1], [12, 1]], 1/1032192], [[[1, 3], [2, 6], [3, 1], [7, 1], [10, 1], [12, 1]], 37/9676800], [[[1, 3], [2, 6], [3, 1], [8, 1], [9, 1], [10, 1]], 19/4147200], [[[1, 3], [2, 6], [3, 1], [8, 1], [9, 1], [12, 1]], 1/1327104], [[[1, 3], [2, 6], [3, 1], [8, 1], [10, 1], [14, 1]], 1/89600], [[[1, 3], [2, 6], [3, 1], [8, 1], [10, 1], [18, 1]], 29/6220800], [[[1, 3], [2, 6], [3, 1], [8, 1], [12, 1], [14, 1]], 25/3096576], [[[1, 3], [2, 6], [3, 1], [8, 1], [12, 1], [18, 1]], 31/11943936], [[[1, 3], [2, 6], [3, 1], [9, 1], [10, 1], [12, 1]], 7/2488320], [[[1, 3], [2, 6], [3, 1], [10, 1], [12, 1], [14, 1]], 1/80640], [[[1, 3], [2, 6], [3, 1], [10, 1], [12, 1], [18, 1]], 47/9331200], [[[1, 3], [2, 6], [3, 2], [4, 1], [5, 1], [6, 3]], 11419/10749542400], [[[1, 3], [2, 6], [3, 2], [4, 1], [5, 1], [7, 1]], 1/1935360], [[[1, 3], [2, 6], [3, 2], [4, 1], [5, 1], [9, 1]], 1/1166400], [[[1, 3], [2, 6], [3, 2], [4, 1], [5, 1], [14, 1]], 1/161280], [[[1, 3], [2, 6], [3, 2], [4, 1], [5, 1], [18, 1]], 7/3732480], [[[1, 3], [2, 6], [3, 2], [4, 1], [5, 2], [6, 1]], 33853/15925248000], [[[1, 3], [2, 6], [3, 2], [4, 1], [6, 1], [8, 2]], 66073/5096079360], [[[1, 3], [2, 6], [3, 2], [4, 1], [6, 1], [10, 2]], 24829/15925248000], [[[1, 3], [2, 6], [3, 2], [4, 1], [6, 1], [12, 2]], 3301/509607936], [[[1, 3], [2, 6], [3, 2], [4, 1], [6, 1], [15, 1]], 2173/796262400], [[[1, 3], [2, 6], [3, 2], [4, 1], [6, 1], [16, 1]], 1/663552], [[[1, 3], [2, 6], [3, 2], [4, 1], [6, 1], [20, 1]], 2173/530841600], [[[1, 3], [2, 6], [3, 2], [4, 1], [6, 1], [24, 1]], 4573/637009920], [[[1, 3], [2, 6], [3, 2], [4, 1], [6, 1], [30, 1]], 2173/796262400], [[[1, 3], [2, 6], [3, 2], [4, 1], [6, 2], [7, 1]], 1931/743178240], [[[1, 3], [2, 6], [3, 2], [4, 1], [6, 2], [9, 1]], 163/33592320], [[[1, 3], [2, 6], [3, 2], [4, 1], [6, 2], [14, 1]], 50291/1486356480], [[[1, 3], [2, 6], [3, 2], [4, 1], [6, 2], [18, 1]], 13277/1146617856], [[[1, 3], [2, 6], [3, 2], [4, 1], [6, 3], [8, 1]], 604141/137594142720], [[[1, 3], [2, 6], [3, 2], [4, 1], [6, 3], [10, 1]], 95123/5733089280], [[[1, 3], [2, 6], [3, 2], [4, 1], [6, 3], [12, 1]], 423937/41278242816], [[[1, 3], [2, 6], [3, 2], [4, 1], [7, 1], [8, 1]], 1/884736], [[[1, 3], [2, 6], [3, 2], [4, 1], [7, 1], [12, 1]], 13/17694720], [[[1, 3], [2, 6], [3, 2], [4, 1], [8, 1], [9, 1]], 307/159252480], [[[1, 3], [2, 6], [3, 2], [4, 1], [8, 1], [14, 1]], 5/442368], [[[1, 3], [2, 6], [3, 2], [4, 1], [8, 1], [18, 1]], 7/1990656], [[[1, 3], [2, 6], [3, 2], [4, 1], [9, 1], [10, 1]], 193/149299200], [[[1, 3], [2, 6], [3, 2], [4, 1], [9, 1], [12, 1]], 1/1119744], [[[1, 3], [2, 6], [3, 2], [4, 1], [10, 1], [14, 1]], 1/645120], [[[1, 3], [2, 6], [3, 2], [4, 1], [10, 1], [18, 1]], 1/2488320], [[[1, 3], [2, 6], [3, 2], [4, 1], [12, 1], [14, 1]], 6233/743178240], [[[1, 3], [2, 6], [3, 2], [4, 1], [12, 1], [18, 1]], 7319/2866544640], [[[1, 3], [2, 6], [3, 2], [4, 2], [5, 1], [6, 2]], 696683/229323571200], [[[1, 3], [2, 6], [3, 2], [4, 2], [5, 1], [8, 1]], 157/53084160], [[[1, 3], [2, 6], [3, 2], [4, 2], [5, 1], [10, 1]], 31/82944000], [[[1, 3], [2, 6], [3, 2], [4, 2], [5, 1], [12, 1]], 49003/38220595200], [[[1, 3], [2, 6], [3, 2], [4, 2], [6, 1], [7, 1]], 709/891813888], [[[1, 3], [2, 6], [3, 2], [4, 2], [6, 1], [9, 1]], 365687/154793410560], [[[1, 3], [2, 6], [3, 2], [4, 2], [6, 1], [14, 1]], 4429/891813888], [[[1, 3], [2, 6], [3, 2], [4, 2], [6, 1], [18, 1]], 6521/3439853568], [[[1, 3], [2, 6], [3, 2], [4, 2], [6, 2], [8, 1]], 12750169/366917713920], [[[1, 3], [2, 6], [3, 2], [4, 2], [6, 2], [10, 1]], 192101/15288238080], [[[1, 3], [2, 6], [3, 2], [4, 2], [6, 2], [12, 1]], 23486761/412782428160], [[[1, 3], [2, 6], [3, 2], [4, 2], [8, 1], [10, 1]], 107/132710400], [[[1, 3], [2, 6], [3, 2], [4, 2], [8, 1], [12, 1]], 264809/61152952320], [[[1, 3], [2, 6], [3, 2], [4, 2], [10, 1], [12, 1]], 35411/38220595200], [[[1, 3], [2, 6], [3, 2], [4, 3], [5, 1], [6, 1]], 1169/1274019840], [[[1, 3], [2, 6], [3, 2], [4, 3], [6, 1], [8, 1]], 18005/2038431744], [[[1, 3], [2, 6], [3, 2], [4, 3], [6, 1], [10, 1]], 1387/2123366400], [[[1, 3], [2, 6], [3, 2], [4, 3], [6, 1], [12, 1]], 471661/30576476160], [[[1, 3], [2, 6], [3, 2], [5, 1], [6, 1], [7, 1]], 1/430080], [[[1, 3], [2, 6], [3, 2], [5, 1], [6, 1], [9, 1]], 701/251942400], [[[1, 3], [2, 6], [3, 2], [5, 1], [6, 1], [14, 1]], 37/2322432], [[[1, 3], [2, 6], [3, 2], [5, 1], [6, 1], [18, 1]], 1/186624], [[[1, 3], [2, 6], [3, 2], [5, 1], [6, 2], [8, 1]], 1889/955514880], [[[1, 3], [2, 6], [3, 2], [5, 1], [6, 2], [10, 1]], 451/12288000], [[[1, 3], [2, 6], [3, 2], [5, 1], [6, 2], [12, 1]], 3317/716636160], [[[1, 3], [2, 6], [3, 2], [5, 1], [8, 1], [10, 1]], 1/576000], [[[1, 3], [2, 6], [3, 2], [5, 1], [8, 1], [12, 1]], 1/1966080], [[[1, 3], [2, 6], [3, 2], [5, 1], [10, 1], [12, 1]], 331/165888000], [[[1, 3], [2, 6], [3, 2], [6, 1], [7, 1], [8, 1]], 59/18579456], [[[1, 3], [2, 6], [3, 2], [6, 1], [7, 1], [10, 1]], 11/4838400], [[[1, 3], [2, 6], [3, 2], [6, 1], [7, 1], [12, 1]], 2209/716636160], [[[1, 3], [2, 6], [3, 2], [6, 1], [8, 1], [9, 1]], 1613/358318080], [[[1, 3], [2, 6], [3, 2], [6, 1], [8, 1], [14, 1]], 25/1327104], [[[1, 3], [2, 6], [3, 2], [6, 1], [8, 1], [18, 1]], 79/11943936], [[[1, 3], [2, 6], [3, 2], [6, 1], [9, 1], [10, 1]], 71/12441600], [[[1, 3], [2, 6], [3, 2], [6, 1], [9, 1], [12, 1]], 10603/3869835264], [[[1, 3], [2, 6], [3, 2], [6, 1], [10, 1], [14, 1]], 23/3628800], [[[1, 3], [2, 6], [3, 2], [6, 1], [10, 1], [18, 1]], 337/111974400], [[[1, 3], [2, 6], [3, 2], [6, 1], [12, 1], [14, 1]], 2651/139345920], [[[1, 3], [2, 6], [3, 2], [6, 1], [12, 1], [18, 1]], 112769/17199267840], [[[1, 3], [2, 6], [3, 2], [6, 2], [8, 1], [10, 1]], 1297/132710400], [[[1, 3], [2, 6], [3, 2], [6, 2], [8, 1], [12, 1]], 10391/1433272320], [[[1, 3], [2, 6], [3, 2], [6, 2], [10, 1], [12, 1]], 6163/597196800], [[[1, 3], [2, 6], [3, 2], [8, 1], [10, 1], [12, 1]], 53/22118400], [[[1, 3], [2, 6], [3, 3], [4, 1], [5, 1], [6, 2]], 68939/32248627200], [[[1, 3], [2, 6], [3, 3], [4, 1], [5, 1], [8, 1]], 89/159252480], [[[1, 3], [2, 6], [3, 3], [4, 1], [5, 1], [10, 1]], 17/373248000], [[[1, 3], [2, 6], [3, 3], [4, 1], [5, 1], [12, 1]], 77/199065600], [[[1, 3], [2, 6], [3, 3], [4, 1], [6, 1], [7, 1]], 1/2322432], [[[1, 3], [2, 6], [3, 3], [4, 1], [6, 1], [9, 1]], 7879/4299816960], [[[1, 3], [2, 6], [3, 3], [4, 1], [6, 1], [14, 1]], 205/83607552], [[[1, 3], [2, 6], [3, 3], [4, 1], [6, 1], [18, 1]], 1453/1612431360], [[[1, 3], [2, 6], [3, 3], [4, 1], [6, 2], [8, 1]], 2763607/412782428160], [[[1, 3], [2, 6], [3, 3], [4, 1], [6, 2], [10, 1]], 308363/128994508800], [[[1, 3], [2, 6], [3, 3], [4, 1], [6, 2], [12, 1]], 476429/77396705280], [[[1, 3], [2, 6], [3, 3], [4, 1], [8, 1], [10, 1]], 17/88473600], [[[1, 3], [2, 6], [3, 3], [4, 1], [8, 1], [12, 1]], 6703/7644119040], [[[1, 3], [2, 6], [3, 3], [4, 1], [10, 1], [12, 1]], 2281/7166361600], [[[1, 3], [2, 6], [3, 3], [4, 2], [5, 1], [6, 1]], 83/127401984], [[[1, 3], [2, 6], [3, 3], [4, 2], [6, 1], [8, 1]], 24581/13759414272], [[[1, 3], [2, 6], [3, 3], [4, 2], [6, 1], [10, 1]], 28331/85996339200], [[[1, 3], [2, 6], [3, 3], [4, 2], [6, 1], [12, 1]], 8084041/5572562780160], [[[1, 3], [2, 6], [3, 3], [5, 1], [6, 1], [8, 1]], 13/7962624], [[[1, 3], [2, 6], [3, 3], [5, 1], [6, 1], [10, 1]], 137/124416000], [[[1, 3], [2, 6], [3, 3], [5, 1], [6, 1], [12, 1]], 18883/10749542400], [[[1, 3], [2, 6], [3, 3], [6, 1], [8, 1], [10, 1]], 2317/1791590400], [[[1, 3], [2, 6], [3, 3], [6, 1], [8, 1], [12, 1]], 21541/8599633920], [[[1, 3], [2, 6], [3, 3], [6, 1], [10, 1], [12, 1]], 2219/1074954240], [[[1, 3], [2, 6], [3, 4], [4, 1], [5, 1], [6, 1]], 30631/107495424000], [[[1, 3], [2, 6], [3, 4], [4, 1], [6, 1], [8, 1]], 7872301/12383472844800], [[[1, 3], [2, 6], [3, 4], [4, 1], [6, 1], [10, 1]], 44903/286654464000], [[[1, 3], [2, 6], [3, 4], [4, 1], [6, 1], [12, 1]], 1414621/2063912140800], [[[1, 3], [2, 6], [4, 1], [5, 1], [6, 1], [8, 2]], 1/518400], [[[1, 3], [2, 6], [4, 1], [5, 1], [6, 1], [10, 2]], 18103/414720000], [[[1, 3], [2, 6], [4, 1], [5, 1], [6, 1], [12, 2]], 391/199065600], [[[1, 3], [2, 6], [4, 1], [5, 1], [6, 1], [15, 1]], 31/20736000], [[[1, 3], [2, 6], [4, 1], [5, 1], [6, 1], [20, 1]], 31/13824000], [[[1, 3], [2, 6], [4, 1], [5, 1], [6, 1], [24, 1]], 31/16588800], [[[1, 3], [2, 6], [4, 1], [5, 1], [6, 1], [30, 1]], 31/20736000], [[[1, 3], [2, 6], [4, 1], [5, 1], [6, 2], [7, 1]], 1/725760], [[[1, 3], [2, 6], [4, 1], [5, 1], [6, 2], [9, 1]], 11/11197440], [[[1, 3], [2, 6], [4, 1], [5, 1], [6, 2], [14, 1]], 11/2903040], [[[1, 3], [2, 6], [4, 1], [5, 1], [6, 2], [18, 1]], 91/37324800], [[[1, 3], [2, 6], [4, 1], [5, 1], [6, 3], [8, 1]], 5/5971968], [[[1, 3], [2, 6], [4, 1], [5, 1], [6, 3], [10, 1]], 59/27648000], [[[1, 3], [2, 6], [4, 1], [5, 1], [6, 3], [12, 1]], 833/597196800], [[[1, 3], [2, 6], [4, 1], [5, 1], [7, 1], [8, 1]], 1/344064], [[[1, 3], [2, 6], [4, 1], [5, 1], [7, 1], [10, 1]], 1/224000], [[[1, 3], [2, 6], [4, 1], [5, 1], [8, 1], [9, 1]], 1/442368], [[[1, 3], [2, 6], [4, 1], [5, 1], [8, 1], [14, 1]], 9/286720], [[[1, 3], [2, 6], [4, 1], [5, 1], [8, 1], [18, 1]], 1/103680], [[[1, 3], [2, 6], [4, 1], [5, 1], [9, 1], [10, 1]], 17/5184000], [[[1, 3], [2, 6], [4, 1], [5, 1], [10, 1], [14, 1]], 251/2688000], [[[1, 3], [2, 6], [4, 1], [5, 1], [10, 1], [18, 1]], 91/3456000], [[[1, 3], [2, 6], [4, 1], [5, 1], [12, 1], [14, 1]], 1/107520], [[[1, 3], [2, 6], [4, 1], [5, 1], [12, 1], [18, 1]], 1/414720], [[[1, 3], [2, 6], [4, 1], [5, 2], [6, 1], [8, 1]], 9901/47775744000], [[[1, 3], [2, 6], [4, 1], [5, 2], [6, 1], [10, 1]], 9589/3317760000], [[[1, 3], [2, 6], [4, 1], [5, 2], [6, 1], [12, 1]], 1039/884736000], [[[1, 3], [2, 6], [4, 1], [6, 1], [7, 1], [9, 1]], 1/387072], [[[1, 3], [2, 6], [4, 1], [6, 1], [7, 1], [14, 1]], 487/6773760], [[[1, 3], [2, 6], [4, 1], [6, 1], [7, 1], [18, 1]], 151/23224320], [[[1, 3], [2, 6], [4, 1], [6, 1], [8, 1], [10, 2]], 1399213/47775744000], [[[1, 3], [2, 6], [4, 1], [6, 1], [8, 1], [12, 2]], 165421/22932357120], [[[1, 3], [2, 6], [4, 1], [6, 1], [8, 1], [15, 1]], 9901/2388787200], [[[1, 3], [2, 6], [4, 1], [6, 1], [8, 1], [16, 1]], 13/442368], [[[1, 3], [2, 6], [4, 1], [6, 1], [8, 1], [20, 1]], 19693/1592524800], [[[1, 3], [2, 6], [4, 1], [6, 1], [8, 1], [24, 1]], 5897/382205952], [[[1, 3], [2, 6], [4, 1], [6, 1], [8, 1], [30, 1]], 9901/2388787200], [[[1, 3], [2, 6], [4, 1], [6, 1], [8, 2], [10, 1]], 31441/1061683200], [[[1, 3], [2, 6], [4, 1], [6, 1], [8, 2], [12, 1]], 3299/283115520], [[[1, 3], [2, 6], [4, 1], [6, 1], [9, 1], [14, 1]], 13/1161216], [[[1, 3], [2, 6], [4, 1], [6, 1], [9, 1], [18, 1]], 263/11197440], [[[1, 3], [2, 6], [4, 1], [6, 1], [10, 1], [12, 2]], 2417/318504960], [[[1, 3], [2, 6], [4, 1], [6, 1], [10, 1], [15, 1]], 949/165888000], [[[1, 3], [2, 6], [4, 1], [6, 1], [10, 1], [16, 1]], 1/92160], [[[1, 3], [2, 6], [4, 1], [6, 1], [10, 1], [20, 1]], 949/110592000], [[[1, 3], [2, 6], [4, 1], [6, 1], [10, 1], [24, 1]], 949/132710400], [[[1, 3], [2, 6], [4, 1], [6, 1], [10, 1], [30, 1]], 949/165888000], [[[1, 3], [2, 6], [4, 1], [6, 1], [10, 2], [12, 1]], 13007/884736000], [[[1, 3], [2, 6], [4, 1], [6, 1], [12, 1], [15, 1]], 79/44236800], [[[1, 3], [2, 6], [4, 1], [6, 1], [12, 1], [16, 1]], 1/103680], [[[1, 3], [2, 6], [4, 1], [6, 1], [12, 1], [20, 1]], 1799/265420800], [[[1, 3], [2, 6], [4, 1], [6, 1], [12, 1], [24, 1]], 781/106168320], [[[1, 3], [2, 6], [4, 1], [6, 1], [12, 1], [30, 1]], 79/44236800], [[[1, 3], [2, 6], [4, 1], [6, 1], [14, 1], [18, 1]], 2393/139345920], [[[1, 3], [2, 6], [4, 1], [6, 2], [7, 1], [8, 1]], 139/18579456], [[[1, 3], [2, 6], [4, 1], [6, 2], [7, 1], [10, 1]], 53/5806080], [[[1, 3], [2, 6], [4, 1], [6, 2], [7, 1], [12, 1]], 7699/1114767360], [[[1, 3], [2, 6], [4, 1], [6, 2], [8, 1], [9, 1]], 383/71663616], [[[1, 3], [2, 6], [4, 1], [6, 2], [8, 1], [14, 1]], 11/516096], [[[1, 3], [2, 6], [4, 1], [6, 2], [8, 1], [18, 1]], 48301/4299816960], [[[1, 3], [2, 6], [4, 1], [6, 2], [9, 1], [10, 1]], 139/22394880], [[[1, 3], [2, 6], [4, 1], [6, 2], [9, 1], [12, 1]], 1313/268738560], [[[1, 3], [2, 6], [4, 1], [6, 2], [10, 1], [14, 1]], 53/2903040], [[[1, 3], [2, 6], [4, 1], [6, 2], [10, 1], [18, 1]], 3509/298598400], [[[1, 3], [2, 6], [4, 1], [6, 2], [12, 1], [14, 1]], 39979/2229534720], [[[1, 3], [2, 6], [4, 1], [6, 2], [12, 1], [18, 1]], 25043/2866544640], [[[1, 3], [2, 6], [4, 1], [6, 3], [8, 1], [10, 1]], 1639/149299200], [[[1, 3], [2, 6], [4, 1], [6, 3], [8, 1], [12, 1]], 193261/22932357120], [[[1, 3], [2, 6], [4, 1], [6, 3], [10, 1], [12, 1]], 144797/14332723200], [[[1, 3], [2, 6], [4, 1], [7, 1], [8, 1], [10, 1]], 167/8601600], [[[1, 3], [2, 6], [4, 1], [7, 1], [8, 1], [12, 1]], 1/516096], [[[1, 3], [2, 6], [4, 1], [7, 1], [10, 1], [12, 1]], 1/134400], [[[1, 3], [2, 6], [4, 1], [8, 1], [9, 1], [10, 1]], 17/1228800], [[[1, 3], [2, 6], [4, 1], [8, 1], [9, 1], [12, 1]], 1/663552], [[[1, 3], [2, 6], [4, 1], [8, 1], [10, 1], [14, 1]], 41/716800], [[[1, 3], [2, 6], [4, 1], [8, 1], [10, 1], [18, 1]], 49/2073600], [[[1, 3], [2, 6], [4, 1], [8, 1], [12, 1], [14, 1]], 1/32256], [[[1, 3], [2, 6], [4, 1], [8, 1], [12, 1], [18, 1]], 1/110592], [[[1, 3], [2, 6], [4, 1], [9, 1], [10, 1], [12, 1]], 17/3110400], [[[1, 3], [2, 6], [4, 1], [10, 1], [12, 1], [14, 1]], 1/44800], [[[1, 3], [2, 6], [4, 1], [10, 1], [12, 1], [18, 1]], 29/3110400], [[[1, 3], [2, 6], [4, 2], [5, 1], [6, 1], [7, 1]], 1/368640], [[[1, 3], [2, 6], [4, 2], [5, 1], [6, 1], [9, 1]], 7/3317760], [[[1, 3], [2, 6], [4, 2], [5, 1], [6, 1], [14, 1]], 1/96768], [[[1, 3], [2, 6], [4, 2], [5, 1], [6, 1], [18, 1]], 10721/2388787200], [[[1, 3], [2, 6], [4, 2], [5, 1], [6, 2], [8, 1]], 1/207360], [[[1, 3], [2, 6], [4, 2], [5, 1], [6, 2], [10, 1]], 13/921600], [[[1, 3], [2, 6], [4, 2], [5, 1], [6, 2], [12, 1]], 550729/114661785600], [[[1, 3], [2, 6], [4, 2], [5, 1], [8, 1], [10, 1]], 283/6144000], [[[1, 3], [2, 6], [4, 2], [5, 1], [8, 1], [12, 1]], 1/276480], [[[1, 3], [2, 6], [4, 2], [5, 1], [10, 1], [12, 1]], 233/41472000], [[[1, 3], [2, 6], [4, 2], [6, 1], [7, 1], [8, 1]], 275/24772608], [[[1, 3], [2, 6], [4, 2], [6, 1], [7, 1], [10, 1]], 671/103219200], [[[1, 3], [2, 6], [4, 2], [6, 1], [7, 1], [12, 1]], 16309/2866544640], [[[1, 3], [2, 6], [4, 2], [6, 1], [8, 1], [9, 1]], 49/5971968], [[[1, 3], [2, 6], [4, 2], [6, 1], [8, 1], [14, 1]], 91/2359296], [[[1, 3], [2, 6], [4, 2], [6, 1], [8, 1], [18, 1]], 65143/3822059520], [[[1, 3], [2, 6], [4, 2], [6, 1], [9, 1], [10, 1]], 5723/1194393600], [[[1, 3], [2, 6], [4, 2], [6, 1], [9, 1], [12, 1]], 67397/15479341056], [[[1, 3], [2, 6], [4, 2], [6, 1], [10, 1], [14, 1]], 235/12386304], [[[1, 3], [2, 6], [4, 2], [6, 1], [10, 1], [18, 1]], 1469/159252480], [[[1, 3], [2, 6], [4, 2], [6, 1], [12, 1], [14, 1]], 50179/2229534720], [[[1, 3], [2, 6], [4, 2], [6, 1], [12, 1], [18, 1]], 26513/2866544640], [[[1, 3], [2, 6], [4, 2], [6, 2], [8, 1], [10, 1]], 271/11796480], [[[1, 3], [2, 6], [4, 2], [6, 2], [8, 1], [12, 1]], 4963979/183458856960], [[[1, 3], [2, 6], [4, 2], [6, 2], [10, 1], [12, 1]], 2699/169869312], [[[1, 3], [2, 6], [4, 2], [8, 1], [10, 1], [12, 1]], 299/6635520], [[[1, 3], [2, 6], [4, 3], [5, 1], [6, 1], [8, 1]], 193/23592960], [[[1, 3], [2, 6], [4, 3], [5, 1], [6, 1], [10, 1]], 2167/88473600], [[[1, 3], [2, 6], [4, 3], [5, 1], [6, 1], [12, 1]], 15439/3185049600], [[[1, 3], [2, 6], [4, 3], [6, 1], [8, 1], [10, 1]], 12091/353894400], [[[1, 3], [2, 6], [4, 3], [6, 1], [8, 1], [12, 1]], 373975/9172942848], [[[1, 3], [2, 6], [4, 3], [6, 1], [10, 1], [12, 1]], 56783/3185049600], [[[1, 3], [2, 6], [5, 1], [6, 1], [7, 1], [10, 1]], 1/268800], [[[1, 3], [2, 6], [5, 1], [6, 1], [7, 1], [12, 1]], 1/645120], [[[1, 3], [2, 6], [5, 1], [6, 1], [8, 1], [14, 1]], 1/215040], [[[1, 3], [2, 6], [5, 1], [6, 1], [8, 1], [18, 1]], 1/663552], [[[1, 3], [2, 6], [5, 1], [6, 1], [9, 1], [10, 1]], 1/345600], [[[1, 3], [2, 6], [5, 1], [6, 1], [9, 1], [12, 1]], 1/829440], [[[1, 3], [2, 6], [5, 1], [6, 1], [10, 1], [14, 1]], 11/806400], [[[1, 3], [2, 6], [5, 1], [6, 1], [10, 1], [18, 1]], 41/6220800], [[[1, 3], [2, 6], [5, 1], [6, 1], [12, 1], [14, 1]], 17/1935360], [[[1, 3], [2, 6], [5, 1], [6, 1], [12, 1], [18, 1]], 23/7464960], [[[1, 3], [2, 6], [5, 1], [6, 2], [8, 1], [10, 1]], 1/460800], [[[1, 3], [2, 6], [5, 1], [6, 2], [8, 1], [12, 1]], 17/17694720], [[[1, 3], [2, 6], [5, 1], [6, 2], [10, 1], [12, 1]], 143/33177600], [[[1, 3], [2, 6], [6, 1], [7, 1], [8, 1], [10, 1]], 23/2150400], [[[1, 3], [2, 6], [6, 1], [7, 1], [8, 1], [12, 1]], 11/3096576], [[[1, 3], [2, 6], [6, 1], [7, 1], [10, 1], [12, 1]], 1/134400], [[[1, 3], [2, 6], [6, 1], [8, 1], [9, 1], [10, 1]], 193/24883200], [[[1, 3], [2, 6], [6, 1], [8, 1], [9, 1], [12, 1]], 31/11943936], [[[1, 3], [2, 6], [6, 1], [8, 1], [10, 1], [14, 1]], 13/460800], [[[1, 3], [2, 6], [6, 1], [8, 1], [10, 1], [18, 1]], 11/777600], [[[1, 3], [2, 6], [6, 1], [8, 1], [12, 1], [14, 1]], 19/1548288], [[[1, 3], [2, 6], [6, 1], [8, 1], [12, 1], [18, 1]], 29/5971968], [[[1, 3], [2, 6], [6, 1], [9, 1], [10, 1], [12, 1]], 47/9331200], [[[1, 3], [2, 6], [6, 1], [10, 1], [12, 1], [14, 1]], 37/2419200], [[[1, 3], [2, 6], [6, 1], [10, 1], [12, 1], [18, 1]], 11/1555200], [[[1, 3], [2, 6], [6, 2], [8, 1], [10, 1], [12, 1]], 127/13271040], [[[1, 3], [2, 8], [3, 1], [4, 1], [5, 1], [6, 3]], 2761/4777574400], [[[1, 3], [2, 8], [3, 1], [4, 1], [5, 1], [7, 1]], 1/51609600], [[[1, 3], [2, 8], [3, 1], [4, 1], [5, 1], [9, 1]], 1199/50164531200], [[[1, 3], [2, 8], [3, 1], [4, 1], [5, 1], [14, 1]], 139/154828800], [[[1, 3], [2, 8], [3, 1], [4, 1], [5, 1], [18, 1]], 29/119439360], [[[1, 3], [2, 8], [3, 1], [4, 1], [5, 2], [6, 1]], 38159/1003290624000], [[[1, 3], [2, 8], [3, 1], [4, 1], [6, 1], [8, 2]], 631199/321052999680], [[[1, 3], [2, 8], [3, 1], [4, 1], [6, 1], [10, 2]], 2837039/1003290624000], [[[1, 3], [2, 8], [3, 1], [4, 1], [6, 1], [12, 2]], 114391/481579499520], [[[1, 3], [2, 8], [3, 1], [4, 1], [6, 1], [15, 1]], 12623/50164531200], [[[1, 3], [2, 8], [3, 1], [4, 1], [6, 1], [16, 1]], 13/445906944], [[[1, 3], [2, 8], [3, 1], [4, 1], [6, 1], [20, 1]], 12623/33443020800], [[[1, 3], [2, 8], [3, 1], [4, 1], [6, 1], [24, 1]], 18329/40131624960], [[[1, 3], [2, 8], [3, 1], [4, 1], [6, 1], [30, 1]], 12623/50164531200], [[[1, 3], [2, 8], [3, 1], [4, 1], [6, 2], [7, 1]], 17009/20065812480], [[[1, 3], [2, 8], [3, 1], [4, 1], [6, 2], [9, 1]], 59009/77396705280], [[[1, 3], [2, 8], [3, 1], [4, 1], [6, 2], [14, 1]], 128497/20065812480], [[[1, 3], [2, 8], [3, 1], [4, 1], [6, 2], [18, 1]], 403253/180592312320], [[[1, 3], [2, 8], [3, 1], [4, 1], [6, 3], [8, 1]], 101579/34398535680], [[[1, 3], [2, 8], [3, 1], [4, 1], [6, 3], [10, 1]], 159071/42998169600], [[[1, 3], [2, 8], [3, 1], [4, 1], [6, 3], [12, 1]], 495449/160526499840], [[[1, 3], [2, 8], [3, 1], [4, 1], [7, 1], [8, 1]], 31/247726080], [[[1, 3], [2, 8], [3, 1], [4, 1], [7, 1], [10, 1]], 1/2150400], [[[1, 3], [2, 8], [3, 1], [4, 1], [7, 1], [12, 1]], 1/41287680], [[[1, 3], [2, 8], [3, 1], [4, 1], [8, 1], [9, 1]], 1426381/9631589990400], [[[1, 3], [2, 8], [3, 1], [4, 1], [8, 1], [14, 1]], 19/8847360], [[[1, 3], [2, 8], [3, 1], [4, 1], [8, 1], [18, 1]], 11/17694720], [[[1, 3], [2, 8], [3, 1], [4, 1], [9, 1], [10, 1]], 25307/50164531200], [[[1, 3], [2, 8], [3, 1], [4, 1], [9, 1], [12, 1]], 79/3762339840], [[[1, 3], [2, 8], [3, 1], [4, 1], [10, 1], [14, 1]], 227/77414400], [[[1, 3], [2, 8], [3, 1], [4, 1], [10, 1], [18, 1]], 59/59719680], [[[1, 3], [2, 8], [3, 1], [4, 1], [12, 1], [14, 1]], 241/371589120], [[[1, 3], [2, 8], [3, 1], [4, 1], [12, 1], [18, 1]], 259/1433272320], [[[1, 3], [2, 8], [3, 1], [4, 2], [5, 1], [6, 2]], 288529/343985356800], [[[1, 3], [2, 8], [3, 1], [4, 2], [5, 1], [8, 1]], 719/2123366400], [[[1, 3], [2, 8], [3, 1], [4, 2], [5, 1], [10, 1]], 199/442368000], [[[1, 3], [2, 8], [3, 1], [4, 2], [5, 1], [12, 1]], 142343/3009871872000], [[[1, 3], [2, 8], [3, 1], [4, 2], [6, 1], [7, 1]], 3043/10032906240], [[[1, 3], [2, 8], [3, 1], [4, 2], [6, 1], [9, 1]], 33283/103195607040], [[[1, 3], [2, 8], [3, 1], [4, 2], [6, 1], [14, 1]], 18451/5016453120], [[[1, 3], [2, 8], [3, 1], [4, 2], [6, 1], [18, 1]], 49298951/43342154956800], [[[1, 3], [2, 8], [3, 1], [4, 2], [6, 2], [8, 1]], 1105867/275188285440], [[[1, 3], [2, 8], [3, 1], [4, 2], [6, 2], [10, 1]], 8263/2687385600], [[[1, 3], [2, 8], [3, 1], [4, 2], [6, 2], [12, 1]], 2033559581/693474479308800], [[[1, 3], [2, 8], [3, 1], [4, 2], [8, 1], [10, 1]], 3689/2123366400], [[[1, 3], [2, 8], [3, 1], [4, 2], [8, 1], [12, 1]], 22081/64210599936], [[[1, 3], [2, 8], [3, 1], [4, 2], [10, 1], [12, 1]], 839/1194393600], [[[1, 3], [2, 8], [3, 1], [4, 3], [5, 1], [6, 1]], 4169/14332723200], [[[1, 3], [2, 8], [3, 1], [4, 3], [6, 1], [8, 1]], 36181/20065812480], [[[1, 3], [2, 8], [3, 1], [4, 3], [6, 1], [10, 1]], 30539/28665446400], [[[1, 3], [2, 8], [3, 1], [4, 3], [6, 1], [12, 1]], 569147/481579499520], [[[1, 3], [2, 8], [3, 1], [5, 1], [6, 1], [7, 1]], 13/348364800], [[[1, 3], [2, 8], [3, 1], [5, 1], [6, 1], [9, 1]], 343/8062156800], [[[1, 3], [2, 8], [3, 1], [5, 1], [6, 1], [14, 1]], 667/348364800], [[[1, 3], [2, 8], [3, 1], [5, 1], [6, 1], [18, 1]], 2330261/4514807808000], [[[1, 3], [2, 8], [3, 1], [5, 1], [6, 2], [8, 1]], 169/895795200], [[[1, 3], [2, 8], [3, 1], [5, 1], [6, 2], [10, 1]], 2569/1492992000], [[[1, 3], [2, 8], [3, 1], [5, 1], [6, 2], [12, 1]], 10518581/24078974976000], [[[1, 3], [2, 8], [3, 1], [5, 1], [8, 1], [10, 1]], 1/2304000], [[[1, 3], [2, 8], [3, 1], [5, 1], [10, 1], [12, 1]], 1/9216000], [[[1, 3], [2, 8], [3, 1], [6, 1], [7, 1], [8, 1]], 11/29859840], [[[1, 3], [2, 8], [3, 1], [6, 1], [7, 1], [10, 1]], 197/116121600], [[[1, 3], [2, 8], [3, 1], [6, 1], [7, 1], [12, 1]], 1/15676416], [[[1, 3], [2, 8], [3, 1], [6, 1], [8, 1], [9, 1]], 59233/180592312320], [[[1, 3], [2, 8], [3, 1], [6, 1], [8, 1], [14, 1]], 907/209018880], [[[1, 3], [2, 8], [3, 1], [6, 1], [8, 1], [18, 1]], 79459/60197437440], [[[1, 3], [2, 8], [3, 1], [6, 1], [9, 1], [10, 1]], 1931/1393459200], [[[1, 3], [2, 8], [3, 1], [6, 1], [9, 1], [12, 1]], 1217/22574039040], [[[1, 3], [2, 8], [3, 1], [6, 1], [10, 1], [14, 1]], 73/7741440], [[[1, 3], [2, 8], [3, 1], [6, 1], [10, 1], [18, 1]], 2953/895795200], [[[1, 3], [2, 8], [3, 1], [6, 1], [12, 1], [14, 1]], 229/313528320], [[[1, 3], [2, 8], [3, 1], [6, 1], [12, 1], [18, 1]], 2415341/10835538739200], [[[1, 3], [2, 8], [3, 1], [6, 2], [8, 1], [10, 1]], 1193/358318080], [[[1, 3], [2, 8], [3, 1], [6, 2], [8, 1], [12, 1]], 1110521/963158999040], [[[1, 3], [2, 8], [3, 1], [6, 2], [10, 1], [12, 1]], 129439/42998169600], [[[1, 3], [2, 8], [3, 1], [8, 1], [10, 1], [12, 1]], 13/33177600], [[[1, 3], [2, 8], [3, 2], [4, 1], [5, 1], [6, 2]], 742669/963158999040], [[[1, 3], [2, 8], [3, 2], [4, 1], [5, 1], [8, 1]], 31/530841600], [[[1, 3], [2, 8], [3, 2], [4, 1], [5, 1], [10, 1]], 7/27648000], [[[1, 3], [2, 8], [3, 2], [4, 1], [5, 1], [12, 1]], 3467/267544166400], [[[1, 3], [2, 8], [3, 2], [4, 1], [6, 1], [7, 1]], 37/148635648], [[[1, 3], [2, 8], [3, 2], [4, 1], [6, 1], [9, 1]], 12017/36118462464], [[[1, 3], [2, 8], [3, 2], [4, 1], [6, 1], [14, 1]], 2357/743178240], [[[1, 3], [2, 8], [3, 2], [4, 1], [6, 1], [18, 1]], 8213/8599633920], [[[1, 3], [2, 8], [3, 2], [4, 1], [6, 2], [8, 1]], 872543341/308210879692800], [[[1, 3], [2, 8], [3, 2], [4, 1], [6, 2], [10, 1]], 1017071/321052999680], [[[1, 3], [2, 8], [3, 2], [4, 1], [6, 2], [12, 1]], 1035235/577895399424], [[[1, 3], [2, 8], [3, 2], [4, 1], [8, 1], [10, 1]], 133/265420800], [[[1, 3], [2, 8], [3, 2], [4, 1], [8, 1], [12, 1]], 4238701/51368479948800], [[[1, 3], [2, 8], [3, 2], [4, 1], [10, 1], [12, 1]], 93851/267544166400], [[[1, 3], [2, 8], [3, 2], [4, 2], [5, 1], [6, 1]], 55277/171992678400], [[[1, 3], [2, 8], [3, 2], [4, 2], [6, 1], [8, 1]], 395377/275188285440], [[[1, 3], [2, 8], [3, 2], [4, 2], [6, 1], [10, 1]], 2513/3822059520], [[[1, 3], [2, 8], [3, 2], [4, 2], [6, 1], [12, 1]], 20290813/34673723965440], [[[1, 3], [2, 8], [3, 2], [5, 1], [6, 1], [8, 1]], 1367/7166361600], [[[1, 3], [2, 8], [3, 2], [5, 1], [6, 1], [10, 1]], 73/82944000], [[[1, 3], [2, 8], [3, 2], [5, 1], [6, 1], [12, 1]], 1393/42998169600], [[[1, 3], [2, 8], [3, 2], [6, 1], [8, 1], [10, 1]], 967/796262400], [[[1, 3], [2, 8], [3, 2], [6, 1], [8, 1], [12, 1]], 254449/963158999040], [[[1, 3], [2, 8], [3, 2], [6, 1], [10, 1], [12, 1]], 74863/66886041600], [[[1, 3], [2, 8], [3, 3], [4, 1], [5, 1], [6, 1]], 50849/386983526400], [[[1, 3], [2, 8], [3, 3], [4, 1], [6, 1], [8, 1]], 94027/309586821120], [[[1, 3], [2, 8], [3, 3], [4, 1], [6, 1], [10, 1]], 81359/386983526400], [[[1, 3], [2, 8], [3, 3], [4, 1], [6, 1], [12, 1]], 515957/2600529297408], [[[1, 3], [2, 8], [4, 1], [5, 1], [6, 1], [7, 1]], 19/348364800], [[[1, 3], [2, 8], [4, 1], [5, 1], [6, 1], [9, 1]], 7/167961600], [[[1, 3], [2, 8], [4, 1], [5, 1], [6, 1], [14, 1]], 1153/696729600], [[[1, 3], [2, 8], [4, 1], [5, 1], [6, 1], [18, 1]], 23347/50164531200], [[[1, 3], [2, 8], [4, 1], [5, 1], [6, 2], [8, 1]], 1259/2388787200], [[[1, 3], [2, 8], [4, 1], [5, 1], [6, 2], [10, 1]], 3043/1492992000], [[[1, 3], [2, 8], [4, 1], [5, 1], [6, 2], [12, 1]], 118939/267544166400], [[[1, 3], [2, 8], [4, 1], [5, 1], [8, 1], [10, 1]], 12799/9289728000], [[[1, 3], [2, 8], [4, 1], [5, 1], [10, 1], [12, 1]], 1/4608000], [[[1, 3], [2, 8], [4, 1], [6, 1], [7, 1], [8, 1]], 659/1114767360], [[[1, 3], [2, 8], [4, 1], [6, 1], [7, 1], [10, 1]], 2209/1393459200], [[[1, 3], [2, 8], [4, 1], [6, 1], [7, 1], [12, 1]], 979/3344302080], [[[1, 3], [2, 8], [4, 1], [6, 1], [8, 1], [9, 1]], 193/429981696], [[[1, 3], [2, 8], [4, 1], [6, 1], [8, 1], [14, 1]], 133/26542080], [[[1, 3], [2, 8], [4, 1], [6, 1], [8, 1], [18, 1]], 15848621/9631589990400], [[[1, 3], [2, 8], [4, 1], [6, 1], [9, 1], [10, 1]], 6353/5374771200], [[[1, 3], [2, 8], [4, 1], [6, 1], [9, 1], [12, 1]], 2867/12899450880], [[[1, 3], [2, 8], [4, 1], [6, 1], [10, 1], [14, 1]], 10613/1393459200], [[[1, 3], [2, 8], [4, 1], [6, 1], [10, 1], [18, 1]], 145567/50164531200], [[[1, 3], [2, 8], [4, 1], [6, 1], [12, 1], [14, 1]], 1049/477757440], [[[1, 3], [2, 8], [4, 1], [6, 1], [12, 1], [18, 1]], 5401/7524679680], [[[1, 3], [2, 8], [4, 1], [6, 2], [8, 1], [10, 1]], 11297/2388787200], [[[1, 3], [2, 8], [4, 1], [6, 2], [8, 1], [12, 1]], 29053007/17122826649600], [[[1, 3], [2, 8], [4, 1], [6, 2], [10, 1], [12, 1]], 2521217/802632499200], [[[1, 3], [2, 8], [4, 1], [8, 1], [10, 1], [12, 1]], 1/884736], [[[1, 3], [2, 8], [4, 2], [5, 1], [6, 1], [8, 1]], 4387/6370099200], [[[1, 3], [2, 8], [4, 2], [5, 1], [6, 1], [10, 1]], 3187/1990656000], [[[1, 3], [2, 8], [4, 2], [5, 1], [6, 1], [12, 1]], 21271/85996339200], [[[1, 3], [2, 8], [4, 2], [6, 1], [8, 1], [10, 1]], 34687/6370099200], [[[1, 3], [2, 8], [4, 2], [6, 1], [8, 1], [12, 1]], 354937/192631799808], [[[1, 3], [2, 8], [4, 2], [6, 1], [10, 1], [12, 1]], 163309/66886041600], [[[1, 3], [2, 8], [5, 1], [6, 1], [8, 1], [10, 1]], 7/18432000], [[[1, 3], [2, 8], [5, 1], [6, 1], [8, 1], [12, 1]], 1/8847360], [[[1, 3], [2, 8], [5, 1], [6, 1], [10, 1], [12, 1]], 11/20736000], [[[1, 3], [2, 8], [6, 1], [8, 1], [10, 1], [12, 1]], 143/132710400], [[[1, 3], [2, 10], [3, 1], [4, 1], [5, 1], [6, 2]], 48253/1719926784000], [[[1, 3], [2, 10], [3, 1], [4, 1], [5, 1], [8, 1]], 1489/764411904000], [[[1, 3], [2, 10], [3, 1], [4, 1], [5, 1], [10, 1]], 41893/1672151040000], [[[1, 3], [2, 10], [3, 1], [4, 1], [5, 1], [12, 1]], 71/668860416000], [[[1, 3], [2, 10], [3, 1], [4, 1], [6, 1], [7, 1]], 17561/1404606873600], [[[1, 3], [2, 10], [3, 1], [4, 1], [6, 1], [9, 1]], 524827/43342154956800], [[[1, 3], [2, 10], [3, 1], [4, 1], [6, 1], [14, 1]], 792221/2809213747200], [[[1, 3], [2, 10], [3, 1], [4, 1], [6, 1], [18, 1]], 1152007/14447384985600], [[[1, 3], [2, 10], [3, 1], [4, 1], [6, 2], [8, 1]], 3345967/19263179980800], [[[1, 3], [2, 10], [3, 1], [4, 1], [6, 2], [10, 1]], 5694289/12039487488000], [[[1, 3], [2, 10], [3, 1], [4, 1], [6, 2], [12, 1]], 23008169/231158159769600], [[[1, 3], [2, 10], [3, 1], [4, 1], [8, 1], [10, 1]], 204493/2675441664000], [[[1, 3], [2, 10], [3, 1], [4, 1], [8, 1], [12, 1]], 523/214035333120], [[[1, 3], [2, 10], [3, 1], [4, 1], [10, 1], [12, 1]], 5809/286654464000], [[[1, 3], [2, 10], [3, 1], [4, 2], [5, 1], [6, 1]], 738863/48157949952000], [[[1, 3], [2, 10], [3, 1], [4, 2], [6, 1], [8, 1]], 1133627/9631589990400], [[[1, 3], [2, 10], [3, 1], [4, 2], [6, 1], [10, 1]], 4507961/24078974976000], [[[1, 3], [2, 10], [3, 1], [4, 2], [6, 1], [12, 1]], 2357561/69347447930880], [[[1, 3], [2, 10], [3, 1], [5, 1], [6, 1], [8, 1]], 7061/2006581248000], [[[1, 3], [2, 10], [3, 1], [5, 1], [6, 1], [10, 1]], 90623/1672151040000], [[[1, 3], [2, 10], [3, 1], [5, 1], [6, 1], [12, 1]], 9427/12039487488000], [[[1, 3], [2, 10], [3, 1], [6, 1], [8, 1], [10, 1]], 734093/4013162496000], [[[1, 3], [2, 10], [3, 1], [6, 1], [8, 1], [12, 1]], 7661/1375941427200], [[[1, 3], [2, 10], [3, 1], [6, 1], [10, 1], [12, 1]], 76133/2407897497600], [[[1, 3], [2, 10], [3, 2], [4, 1], [5, 1], [6, 1]], 314639/48157949952000], [[[1, 3], [2, 10], [3, 2], [4, 1], [6, 1], [8, 1]], 834811/25684239974400], [[[1, 3], [2, 10], [3, 2], [4, 1], [6, 1], [10, 1]], 299659/2293235712000], [[[1, 3], [2, 10], [3, 2], [4, 1], [6, 1], [12, 1]], 2253379/231158159769600], [[[1, 3], [2, 10], [4, 1], [5, 1], [6, 1], [8, 1]], 10727/891813888000], [[[1, 3], [2, 10], [4, 1], [5, 1], [6, 1], [10, 1]], 218893/3344302080000], [[[1, 3], [2, 10], [4, 1], [5, 1], [6, 1], [12, 1]], 1603/382205952000], [[[1, 3], [2, 10], [4, 1], [6, 1], [8, 1], [10, 1]], 56593/191102976000], [[[1, 3], [2, 10], [4, 1], [6, 1], [8, 1], [12, 1]], 15601/513684799488], [[[1, 3], [2, 10], [4, 1], [6, 1], [10, 1], [12, 1]], 936731/8026324992000], [[[1, 3], [2, 12], [3, 1], [4, 1], [5, 1], [6, 1]], 199/1203948748800], [[[1, 3], [2, 12], [3, 1], [4, 1], [6, 1], [8, 1]], 7781/5503765708800], [[[1, 3], [2, 12], [3, 1], [4, 1], [6, 1], [10, 1]], 7087/752467968000], [[[1, 3], [2, 12], [3, 1], [4, 1], [6, 1], [12, 1]], 1027/4127824281600], [[[1, 3], [3, 1], [4, 1], [5, 2], [8, 1], [9, 1]], 1/8294400], [[[1, 3], [3, 1], [4, 1], [6, 4], [8, 1], [9, 1]], 1/2149908480], [[[1, 3], [3, 1], [4, 1], [8, 1], [9, 1], [10, 2]], 1/8294400], [[[1, 3], [3, 1], [4, 1], [8, 1], [9, 1], [12, 2]], 1/3981312], [[[1, 3], [3, 1], [4, 1], [8, 1], [9, 1], [15, 1]], 1/414720], [[[1, 3], [3, 1], [4, 1], [8, 1], [9, 1], [20, 1]], 1/276480], [[[1, 3], [3, 1], [4, 1], [8, 1], [9, 1], [24, 1]], 1/331776], [[[1, 3], [3, 1], [4, 1], [8, 1], [9, 1], [30, 1]], 1/414720], [[[1, 3], [3, 1], [4, 2], [5, 1], [6, 2], [12, 2]], 1/2488320], [[[1, 3], [3, 1], [4, 2], [5, 1], [6, 4], [12, 1]], 1/1343692800], [[[1, 3], [3, 1], [4, 2], [5, 1], [8, 1], [16, 1]], 1/30720], [[[1, 3], [3, 1], [4, 2], [5, 1], [8, 2], [12, 1]], 13/1658880], [[[1, 3], [3, 1], [4, 2], [5, 1], [10, 2], [12, 1]], 1/5184000], [[[1, 3], [3, 1], [4, 2], [5, 1], [12, 1], [15, 1]], 1/259200], [[[1, 3], [3, 1], [4, 2], [5, 1], [12, 1], [20, 1]], 13/172800], [[[1, 3], [3, 1], [4, 2], [5, 1], [12, 1], [24, 1]], 7/207360], [[[1, 3], [3, 1], [4, 2], [5, 1], [12, 1], [30, 1]], 1/259200], [[[1, 3], [3, 1], [4, 2], [5, 2], [6, 1], [18, 1]], 1/37324800], [[[1, 3], [3, 1], [4, 2], [5, 2], [6, 2], [12, 1]], 11/597196800], [[[1, 3], [3, 1], [4, 2], [6, 1], [8, 2], [18, 1]], 1/11943936], [[[1, 3], [3, 1], [4, 2], [6, 1], [10, 2], [18, 1]], 1/37324800], [[[1, 3], [3, 1], [4, 2], [6, 1], [12, 2], [18, 1]], 17/17915904], [[[1, 3], [3, 1], [4, 2], [6, 1], [15, 1], [18, 1]], 1/1866240], [[[1, 3], [3, 1], [4, 2], [6, 1], [18, 1], [20, 1]], 1/1244160], [[[1, 3], [3, 1], [4, 2], [6, 1], [18, 1], [24, 1]], 1/1492992], [[[1, 3], [3, 1], [4, 2], [6, 1], [18, 1], [30, 1]], 1/1866240], [[[1, 3], [3, 1], [4, 2], [6, 2], [8, 1], [16, 1]], 1/442368], [[[1, 3], [3, 1], [4, 2], [6, 2], [8, 2], [12, 1]], 107/191102976], [[[1, 3], [3, 1], [4, 2], [6, 2], [10, 2], [12, 1]], 11/597196800], [[[1, 3], [3, 1], [4, 2], [6, 2], [12, 1], [15, 1]], 11/29859840], [[[1, 3], [3, 1], [4, 2], [6, 2], [12, 1], [20, 1]], 107/19906560], [[[1, 3], [3, 1], [4, 2], [6, 2], [12, 1], [24, 1]], 59/23887872], [[[1, 3], [3, 1], [4, 2], [6, 2], [12, 1], [30, 1]], 11/29859840], [[[1, 3], [3, 1], [4, 2], [6, 3], [12, 1], [18, 1]], 11/53747712], [[[1, 3], [3, 1], [4, 2], [7, 1], [9, 1], [12, 1]], 1/217728], [[[1, 3], [3, 1], [4, 2], [8, 1], [12, 1], [16, 1]], 1/73728], [[[1, 3], [3, 1], [4, 3], [8, 1], [9, 1], [12, 1]], 1/995328], [[[1, 3], [3, 1], [4, 4], [5, 1], [6, 1], [18, 1]], 1/298598400], [[[1, 3], [3, 1], [4, 4], [5, 1], [6, 2], [12, 1]], 1/1592524800], [[[1, 3], [3, 1], [4, 4], [6, 1], [12, 1], [18, 1]], 161/716636160], [[[1, 3], [3, 1], [5, 1], [6, 1], [8, 2], [18, 1]], 1/1244160], [[[1, 3], [3, 1], [5, 1], [6, 1], [10, 2], [18, 1]], 1/3888000], [[[1, 3], [3, 1], [5, 1], [6, 1], [12, 2], [18, 1]], 1/1866240], [[[1, 3], [3, 1], [5, 1], [6, 1], [15, 1], [18, 1]], 1/194400], [[[1, 3], [3, 1], [5, 1], [6, 1], [18, 1], [20, 1]], 1/129600], [[[1, 3], [3, 1], [5, 1], [6, 1], [18, 1], [24, 1]], 1/155520], [[[1, 3], [3, 1], [5, 1], [6, 1], [18, 1], [30, 1]], 1/194400], [[[1, 3], [3, 1], [5, 1], [6, 2], [8, 2], [12, 1]], 1/6635520], [[[1, 3], [3, 1], [5, 1], [6, 2], [10, 2], [12, 1]], 1/20736000], [[[1, 3], [3, 1], [5, 1], [6, 2], [12, 1], [15, 1]], 1/1036800], [[[1, 3], [3, 1], [5, 1], [6, 2], [12, 1], [20, 1]], 1/691200], [[[1, 3], [3, 1], [5, 1], [6, 2], [12, 1], [24, 1]], 1/829440], [[[1, 3], [3, 1], [5, 1], [6, 2], [12, 1], [30, 1]], 1/1036800], [[[1, 3], [3, 1], [5, 1], [6, 3], [12, 1], [18, 1]], 1/1866240], [[[1, 3], [3, 1], [5, 2], [6, 1], [12, 1], [18, 1]], 1/9331200], [[[1, 3], [3, 1], [6, 1], [7, 1], [9, 1], [18, 1]], 1/5832], [[[1, 3], [3, 1], [6, 1], [8, 2], [12, 1], [18, 1]], 1/2985984], [[[1, 3], [3, 1], [6, 1], [10, 2], [12, 1], [18, 1]], 1/9331200], [[[1, 3], [3, 1], [6, 1], [12, 1], [15, 1], [18, 1]], 1/466560], [[[1, 3], [3, 1], [6, 1], [12, 1], [18, 1], [20, 1]], 1/311040], [[[1, 3], [3, 1], [6, 1], [12, 1], [18, 1], [24, 1]], 1/373248], [[[1, 3], [3, 1], [6, 1], [12, 1], [18, 1], [30, 1]], 1/466560], [[[1, 3], [3, 1], [6, 2], [7, 1], [9, 1], [12, 1]], 1/870912], [[[1, 3], [3, 2], [4, 1], [5, 2], [6, 2], [8, 1]], 1/265420800], [[[1, 3], [3, 2], [4, 1], [5, 2], [8, 1], [12, 1]], 1/44236800], [[[1, 3], [3, 2], [4, 1], [6, 2], [8, 1], [10, 2]], 1/265420800], [[[1, 3], [3, 2], [4, 1], [6, 2], [8, 1], [12, 2]], 151/127401984], [[[1, 3], [3, 2], [4, 1], [6, 2], [8, 1], [15, 1]], 1/13271040], [[[1, 3], [3, 2], [4, 1], [6, 2], [8, 1], [20, 1]], 1/8847360], [[[1, 3], [3, 2], [4, 1], [6, 2], [8, 1], [24, 1]], 73/10616832], [[[1, 3], [3, 2], [4, 1], [6, 2], [8, 1], [30, 1]], 1/13271040], [[[1, 3], [3, 2], [4, 1], [6, 3], [8, 1], [18, 1]], 1/23887872], [[[1, 3], [3, 2], [4, 1], [6, 4], [8, 1], [12, 1]], 91/11466178560], [[[1, 3], [3, 2], [4, 1], [8, 1], [10, 2], [12, 1]], 1/44236800], [[[1, 3], [3, 2], [4, 1], [8, 1], [12, 1], [15, 1]], 1/2211840], [[[1, 3], [3, 2], [4, 1], [8, 1], [12, 1], [20, 1]], 1/1474560], [[[1, 3], [3, 2], [4, 1], [8, 1], [12, 1], [24, 1]], 2305/1769472], [[[1, 3], [3, 2], [4, 1], [8, 1], [12, 1], [30, 1]], 1/2211840], [[[1, 3], [3, 2], [4, 2], [5, 1], [9, 1], [12, 1]], 1/466560], [[[1, 3], [3, 2], [4, 2], [6, 1], [9, 1], [18, 1]], 7/839808], [[[1, 3], [3, 2], [4, 2], [6, 2], [7, 1], [12, 1]], 73/6967296], [[[1, 3], [3, 2], [4, 2], [6, 2], [9, 1], [12, 1]], 157/53747712], [[[1, 3], [3, 2], [4, 3], [6, 2], [8, 1], [12, 1]], 73/31850496], [[[1, 3], [3, 2], [5, 1], [6, 1], [9, 1], [18, 1]], 7/87480], [[[1, 3], [3, 2], [5, 1], [6, 2], [9, 1], [12, 1]], 1/1866240], [[[1, 3], [3, 2], [6, 1], [7, 1], [12, 1], [18, 1]], 1/870912], [[[1, 3], [3, 2], [6, 1], [9, 1], [12, 1], [18, 1]], 113/3359232], [[[1, 3], [3, 3], [4, 1], [6, 2], [8, 1], [9, 1]], 1/23887872], [[[1, 3], [3, 3], [4, 1], [8, 1], [9, 1], [12, 1]], 1/3981312], [[[1, 3], [3, 3], [4, 2], [5, 1], [6, 2], [12, 1]], 73/14929920], [[[1, 3], [3, 3], [4, 2], [6, 1], [12, 1], [18, 1]], 35/483729408], [[[1, 3], [3, 3], [5, 1], [6, 1], [12, 1], [18, 1]], 1/1866240], [[[1, 3], [3, 4], [4, 1], [6, 1], [8, 1], [18, 1]], 1/2149908480], [[[1, 3], [3, 4], [4, 1], [6, 2], [8, 1], [12, 1]], 91/11466178560], [[[1, 3], [4, 1], [5, 2], [6, 1], [8, 1], [18, 1]], 1/8294400], [[[1, 3], [4, 1], [5, 2], [6, 2], [8, 1], [12, 1]], 1/44236800], [[[1, 3], [4, 1], [6, 1], [8, 1], [10, 2], [18, 1]], 1/8294400], [[[1, 3], [4, 1], [6, 1], [8, 1], [12, 2], [18, 1]], 1/3981312], [[[1, 3], [4, 1], [6, 1], [8, 1], [15, 1], [18, 1]], 1/414720], [[[1, 3], [4, 1], [6, 1], [8, 1], [18, 1], [20, 1]], 1/276480], [[[1, 3], [4, 1], [6, 1], [8, 1], [18, 1], [24, 1]], 1/331776], [[[1, 3], [4, 1], [6, 1], [8, 1], [18, 1], [30, 1]], 1/414720], [[[1, 3], [4, 1], [6, 2], [8, 1], [10, 2], [12, 1]], 1/44236800], [[[1, 3], [4, 1], [6, 2], [8, 1], [12, 1], [15, 1]], 1/2211840], [[[1, 3], [4, 1], [6, 2], [8, 1], [12, 1], [20, 1]], 1/1474560], [[[1, 3], [4, 1], [6, 2], [8, 1], [12, 1], [24, 1]], 1/1769472], [[[1, 3], [4, 1], [6, 2], [8, 1], [12, 1], [30, 1]], 1/2211840], [[[1, 3], [4, 1], [6, 3], [8, 1], [12, 1], [18, 1]], 1/3981312], [[[1, 3], [4, 2], [6, 1], [7, 1], [12, 1], [18, 1]], 1/217728], [[[1, 3], [4, 2], [6, 1], [9, 1], [12, 1], [18, 1]], 1/839808], [[[1, 3], [4, 3], [6, 1], [8, 1], [12, 1], [18, 1]], 1/995328], [[[1, 4], [2, 1], [3, 1], [4, 1], [5, 1], [6, 6]], 1/10749542400], [[[1, 4], [2, 1], [3, 1], [4, 1], [5, 1], [8, 3]], 7/737280], [[[1, 4], [2, 1], [3, 1], [4, 1], [5, 1], [9, 2]], 1/466560], [[[1, 4], [2, 1], [3, 1], [4, 1], [5, 1], [10, 3]], 1/2880000], [[[1, 4], [2, 1], [3, 1], [4, 1], [5, 1], [12, 3]], 31/9953280], [[[1, 4], [2, 1], [3, 1], [4, 1], [5, 1], [28, 1]], 1/6720], [[[1, 4], [2, 1], [3, 1], [4, 1], [5, 1], [36, 1]], 1/8640], [[[1, 4], [2, 1], [3, 1], [4, 1], [5, 2], [6, 4]], 49/35831808000], [[[1, 4], [2, 1], [3, 1], [4, 1], [5, 2], [8, 2]], 11/8847360], [[[1, 4], [2, 1], [3, 1], [4, 1], [5, 2], [10, 2]], 349/138240000], [[[1, 4], [2, 1], [3, 1], [4, 1], [5, 2], [12, 2]], 13/13271040], [[[1, 4], [2, 1], [3, 1], [4, 1], [5, 2], [15, 1]], 49/6912000], [[[1, 4], [2, 1], [3, 1], [4, 1], [5, 2], [20, 1]], 49/4608000], [[[1, 4], [2, 1], [3, 1], [4, 1], [5, 2], [24, 1]], 49/5529600], [[[1, 4], [2, 1], [3, 1], [4, 1], [5, 2], [30, 1]], 49/6912000], [[[1, 4], [2, 1], [3, 1], [4, 1], [5, 3], [6, 2]], 1/41472000], [[[1, 4], [2, 1], [3, 1], [4, 1], [5, 3], [8, 1]], 1/768000], [[[1, 4], [2, 1], [3, 1], [4, 1], [5, 3], [10, 1]], 1/2880000], [[[1, 4], [2, 1], [3, 1], [4, 1], [5, 3], [12, 1]], 1/1382400], [[[1, 4], [2, 1], [3, 1], [4, 1], [6, 2], [8, 3]], 5/7077888], [[[1, 4], [2, 1], [3, 1], [4, 1], [6, 2], [10, 3]], 1/41472000], [[[1, 4], [2, 1], [3, 1], [4, 1], [6, 2], [12, 3]], 209/286654464], [[[1, 4], [2, 1], [3, 1], [4, 1], [6, 2], [18, 2]], 1/2239488], [[[1, 4], [2, 1], [3, 1], [4, 1], [6, 2], [28, 1]], 1/96768], [[[1, 4], [2, 1], [3, 1], [4, 1], [6, 2], [36, 1]], 1/124416], [[[1, 4], [2, 1], [3, 1], [4, 1], [6, 4], [8, 2]], 7/11466178560], [[[1, 4], [2, 1], [3, 1], [4, 1], [6, 4], [10, 2]], 1/35831808000], [[[1, 4], [2, 1], [3, 1], [4, 1], [6, 4], [12, 2]], 1727/17199267840], [[[1, 4], [2, 1], [3, 1], [4, 1], [6, 4], [15, 1]], 1/1791590400], [[[1, 4], [2, 1], [3, 1], [4, 1], [6, 4], [20, 1]], 1/1194393600], [[[1, 4], [2, 1], [3, 1], [4, 1], [6, 4], [24, 1]], 1/1433272320], [[[1, 4], [2, 1], [3, 1], [4, 1], [6, 4], [30, 1]], 1/1791590400], [[[1, 4], [2, 1], [3, 1], [4, 1], [6, 5], [7, 1]], 1/627056640], [[[1, 4], [2, 1], [3, 1], [4, 1], [6, 5], [9, 1]], 1/1934917632], [[[1, 4], [2, 1], [3, 1], [4, 1], [6, 5], [18, 1]], 1/3224862720], [[[1, 4], [2, 1], [3, 1], [4, 1], [6, 6], [8, 1]], 7/17199267840], [[[1, 4], [2, 1], [3, 1], [4, 1], [6, 6], [10, 1]], 1/10749542400], [[[1, 4], [2, 1], [3, 1], [4, 1], [6, 6], [12, 1]], 11/51597803520], [[[1, 4], [2, 1], [3, 1], [4, 1], [8, 1], [9, 2]], 7/746496], [[[1, 4], [2, 1], [3, 1], [4, 1], [8, 1], [12, 3]], 7/5308416], [[[1, 4], [2, 1], [3, 1], [4, 1], [8, 2], [10, 2]], 7/44236800], [[[1, 4], [2, 1], [3, 1], [4, 1], [8, 2], [12, 2]], 23/21233664], [[[1, 4], [2, 1], [3, 1], [4, 1], [8, 2], [15, 1]], 7/2211840], [[[1, 4], [2, 1], [3, 1], [4, 1], [8, 2], [20, 1]], 7/1474560], [[[1, 4], [2, 1], [3, 1], [4, 1], [8, 2], [24, 1]], 13/589824], [[[1, 4], [2, 1], [3, 1], [4, 1], [8, 2], [30, 1]], 7/2211840], [[[1, 4], [2, 1], [3, 1], [4, 1], [8, 3], [12, 1]], 5/1179648], [[[1, 4], [2, 1], [3, 1], [4, 1], [9, 2], [10, 1]], 1/466560], [[[1, 4], [2, 1], [3, 1], [4, 1], [9, 2], [12, 1]], 1/279936], [[[1, 4], [2, 1], [3, 1], [4, 1], [10, 1], [12, 3]], 1/3317760], [[[1, 4], [2, 1], [3, 1], [4, 1], [10, 2], [12, 2]], 17/66355200], [[[1, 4], [2, 1], [3, 1], [4, 1], [10, 2], [15, 1]], 1/6912000], [[[1, 4], [2, 1], [3, 1], [4, 1], [10, 2], [20, 1]], 1/4608000], [[[1, 4], [2, 1], [3, 1], [4, 1], [10, 2], [24, 1]], 1/5529600], [[[1, 4], [2, 1], [3, 1], [4, 1], [10, 2], [30, 1]], 1/6912000], [[[1, 4], [2, 1], [3, 1], [4, 1], [10, 3], [12, 1]], 1/6912000], [[[1, 4], [2, 1], [3, 1], [4, 1], [12, 1], [28, 1]], 1/16128], [[[1, 4], [2, 1], [3, 1], [4, 1], [12, 1], [36, 1]], 1/13824], [[[1, 4], [2, 1], [3, 1], [4, 1], [12, 2], [15, 1]], 17/3317760], [[[1, 4], [2, 1], [3, 1], [4, 1], [12, 2], [16, 1]], 1/27648], [[[1, 4], [2, 1], [3, 1], [4, 1], [12, 2], [20, 1]], 3/81920], [[[1, 4], [2, 1], [3, 1], [4, 1], [12, 2], [24, 1]], 125/2654208], [[[1, 4], [2, 1], [3, 1], [4, 1], [12, 2], [30, 1]], 17/3317760], [[[1, 4], [2, 1], [3, 1], [4, 1], [15, 1], [20, 1]], 1/230400], [[[1, 4], [2, 1], [3, 1], [4, 1], [15, 1], [24, 1]], 1/276480], [[[1, 4], [2, 1], [3, 1], [4, 1], [15, 1], [30, 1]], 1/21600], [[[1, 4], [2, 1], [3, 1], [4, 1], [20, 1], [24, 1]], 1/184320], [[[1, 4], [2, 1], [3, 1], [4, 1], [20, 1], [30, 1]], 1/230400], [[[1, 4], [2, 1], [3, 1], [4, 1], [24, 1], [30, 1]], 1/276480], [[[1, 4], [2, 1], [3, 1], [4, 2], [5, 2], [6, 3]], 1/1791590400], [[[1, 4], [2, 1], [3, 1], [4, 2], [5, 2], [7, 1]], 1/9676800], [[[1, 4], [2, 1], [3, 1], [4, 2], [5, 2], [9, 1]], 77/1194393600], [[[1, 4], [2, 1], [3, 1], [4, 2], [5, 2], [14, 1]], 1/19353600], [[[1, 4], [2, 1], [3, 1], [4, 2], [5, 2], [18, 1]], 1/24883200], [[[1, 4], [2, 1], [3, 1], [4, 2], [6, 1], [8, 3]], 1/2654208], [[[1, 4], [2, 1], [3, 1], [4, 2], [6, 1], [10, 3]], 1/41472000], [[[1, 4], [2, 1], [3, 1], [4, 2], [6, 1], [12, 3]], 209/143327232], [[[1, 4], [2, 1], [3, 1], [4, 2], [6, 1], [18, 2]], 1/2239488], [[[1, 4], [2, 1], [3, 1], [4, 2], [6, 1], [28, 1]], 1/16128], [[[1, 4], [2, 1], [3, 1], [4, 2], [6, 1], [36, 1]], 1/62208], [[[1, 4], [2, 1], [3, 1], [4, 2], [6, 3], [8, 2]], 1/573308928], [[[1, 4], [2, 1], [3, 1], [4, 2], [6, 3], [10, 2]], 1/1791590400], [[[1, 4], [2, 1], [3, 1], [4, 2], [6, 3], [12, 2]], 359/859963392], [[[1, 4], [2, 1], [3, 1], [4, 2], [6, 3], [15, 1]], 1/89579520], [[[1, 4], [2, 1], [3, 1], [4, 2], [6, 3], [20, 1]], 1/59719680], [[[1, 4], [2, 1], [3, 1], [4, 2], [6, 3], [24, 1]], 1/71663616], [[[1, 4], [2, 1], [3, 1], [4, 2], [6, 3], [30, 1]], 1/89579520], [[[1, 4], [2, 1], [3, 1], [4, 2], [6, 4], [7, 1]], 1/2508226560], [[[1, 4], [2, 1], [3, 1], [4, 2], [6, 4], [9, 1]], 77/309586821120], [[[1, 4], [2, 1], [3, 1], [4, 2], [6, 4], [14, 1]], 1/5016453120], [[[1, 4], [2, 1], [3, 1], [4, 2], [6, 4], [18, 1]], 41/6449725440], [[[1, 4], [2, 1], [3, 1], [4, 2], [6, 5], [8, 1]], 1/2149908480], [[[1, 4], [2, 1], [3, 1], [4, 2], [6, 5], [10, 1]], 1/10749542400], [[[1, 4], [2, 1], [3, 1], [4, 2], [6, 5], [12, 1]], 121/25798901760], [[[1, 4], [2, 1], [3, 1], [4, 2], [7, 1], [8, 2]], 1/3096576], [[[1, 4], [2, 1], [3, 1], [4, 2], [7, 1], [10, 2]], 1/9676800], [[[1, 4], [2, 1], [3, 1], [4, 2], [7, 1], [12, 2]], 41/4644864], [[[1, 4], [2, 1], [3, 1], [4, 2], [7, 1], [15, 1]], 1/483840], [[[1, 4], [2, 1], [3, 1], [4, 2], [7, 1], [20, 1]], 1/322560], [[[1, 4], [2, 1], [3, 1], [4, 2], [7, 1], [24, 1]], 1/387072], [[[1, 4], [2, 1], [3, 1], [4, 2], [7, 1], [30, 1]], 1/483840], [[[1, 4], [2, 1], [3, 1], [4, 2], [8, 2], [9, 1]], 2345/382205952], [[[1, 4], [2, 1], [3, 1], [4, 2], [8, 2], [14, 1]], 1/6193152], [[[1, 4], [2, 1], [3, 1], [4, 2], [8, 2], [18, 1]], 1/7962624], [[[1, 4], [2, 1], [3, 1], [4, 2], [9, 1], [10, 2]], 77/1194393600], [[[1, 4], [2, 1], [3, 1], [4, 2], [9, 1], [12, 2]], 623/191102976], [[[1, 4], [2, 1], [3, 1], [4, 2], [9, 1], [15, 1]], 77/59719680], [[[1, 4], [2, 1], [3, 1], [4, 2], [9, 1], [20, 1]], 77/39813120], [[[1, 4], [2, 1], [3, 1], [4, 2], [9, 1], [24, 1]], 77/47775744], [[[1, 4], [2, 1], [3, 1], [4, 2], [9, 1], [30, 1]], 77/59719680], [[[1, 4], [2, 1], [3, 1], [4, 2], [10, 2], [14, 1]], 1/19353600], [[[1, 4], [2, 1], [3, 1], [4, 2], [10, 2], [18, 1]], 1/24883200], [[[1, 4], [2, 1], [3, 1], [4, 2], [12, 2], [14, 1]], 17/9289728], [[[1, 4], [2, 1], [3, 1], [4, 2], [12, 2], [18, 1]], 17/11943936], [[[1, 4], [2, 1], [3, 1], [4, 2], [14, 1], [15, 1]], 1/967680], [[[1, 4], [2, 1], [3, 1], [4, 2], [14, 1], [20, 1]], 1/645120], [[[1, 4], [2, 1], [3, 1], [4, 2], [14, 1], [24, 1]], 1/774144], [[[1, 4], [2, 1], [3, 1], [4, 2], [14, 1], [30, 1]], 1/967680], [[[1, 4], [2, 1], [3, 1], [4, 2], [15, 1], [18, 1]], 1/1244160], [[[1, 4], [2, 1], [3, 1], [4, 2], [18, 1], [20, 1]], 1/829440], [[[1, 4], [2, 1], [3, 1], [4, 2], [18, 1], [24, 1]], 1/995328], [[[1, 4], [2, 1], [3, 1], [4, 2], [18, 1], [30, 1]], 1/1244160], [[[1, 4], [2, 1], [3, 1], [4, 3], [5, 1], [6, 4]], 1/4777574400], [[[1, 4], [2, 1], [3, 1], [4, 3], [5, 1], [8, 2]], 17/5898240], [[[1, 4], [2, 1], [3, 1], [4, 3], [5, 1], [10, 2]], 1/18432000], [[[1, 4], [2, 1], [3, 1], [4, 3], [5, 1], [12, 2]], 419/26542080], [[[1, 4], [2, 1], [3, 1], [4, 3], [5, 1], [15, 1]], 1/921600], [[[1, 4], [2, 1], [3, 1], [4, 3], [5, 1], [16, 1]], 1/92160], [[[1, 4], [2, 1], [3, 1], [4, 3], [5, 1], [20, 1]], 67/1843200], [[[1, 4], [2, 1], [3, 1], [4, 3], [5, 1], [24, 1]], 1/737280], [[[1, 4], [2, 1], [3, 1], [4, 3], [5, 1], [30, 1]], 1/921600], [[[1, 4], [2, 1], [3, 1], [4, 3], [5, 2], [6, 2]], 1/796262400], [[[1, 4], [2, 1], [3, 1], [4, 3], [5, 2], [8, 1]], 11/88473600], [[[1, 4], [2, 1], [3, 1], [4, 3], [5, 2], [10, 1]], 1/27648000], [[[1, 4], [2, 1], [3, 1], [4, 3], [5, 2], [12, 1]], 401/132710400], [[[1, 4], [2, 1], [3, 1], [4, 3], [6, 2], [8, 2]], 49/254803968], [[[1, 4], [2, 1], [3, 1], [4, 3], [6, 2], [10, 2]], 1/796262400], [[[1, 4], [2, 1], [3, 1], [4, 3], [6, 2], [12, 2]], 487/382205952], [[[1, 4], [2, 1], [3, 1], [4, 3], [6, 2], [15, 1]], 1/39813120], [[[1, 4], [2, 1], [3, 1], [4, 3], [6, 2], [16, 1]], 1/1327104], [[[1, 4], [2, 1], [3, 1], [4, 3], [6, 2], [20, 1]], 13/5308416], [[[1, 4], [2, 1], [3, 1], [4, 3], [6, 2], [24, 1]], 1/31850496], [[[1, 4], [2, 1], [3, 1], [4, 3], [6, 2], [30, 1]], 1/39813120], [[[1, 4], [2, 1], [3, 1], [4, 3], [6, 3], [18, 1]], 1/71663616], [[[1, 4], [2, 1], [3, 1], [4, 3], [6, 4], [8, 1]], 11/22932357120], [[[1, 4], [2, 1], [3, 1], [4, 3], [6, 4], [10, 1]], 1/7166361600], [[[1, 4], [2, 1], [3, 1], [4, 3], [6, 4], [12, 1]], 107/34398535680], [[[1, 4], [2, 1], [3, 1], [4, 3], [7, 1], [9, 1]], 1/2322432], [[[1, 4], [2, 1], [3, 1], [4, 3], [7, 1], [14, 1]], 1/64512], [[[1, 4], [2, 1], [3, 1], [4, 3], [8, 1], [10, 2]], 11/88473600], [[[1, 4], [2, 1], [3, 1], [4, 3], [8, 1], [12, 2]], 619/42467328], [[[1, 4], [2, 1], [3, 1], [4, 3], [8, 1], [15, 1]], 11/4423680], [[[1, 4], [2, 1], [3, 1], [4, 3], [8, 1], [16, 1]], 13/294912], [[[1, 4], [2, 1], [3, 1], [4, 3], [8, 1], [20, 1]], 43/2949120], [[[1, 4], [2, 1], [3, 1], [4, 3], [8, 1], [24, 1]], 25/1179648], [[[1, 4], [2, 1], [3, 1], [4, 3], [8, 1], [30, 1]], 11/4423680], [[[1, 4], [2, 1], [3, 1], [4, 3], [8, 2], [10, 1]], 1/8847360], [[[1, 4], [2, 1], [3, 1], [4, 3], [8, 2], [12, 1]], 209/42467328], [[[1, 4], [2, 1], [3, 1], [4, 3], [9, 1], [18, 1]], 1/82944], [[[1, 4], [2, 1], [3, 1], [4, 3], [10, 1], [12, 2]], 17/13271040], [[[1, 4], [2, 1], [3, 1], [4, 3], [10, 1], [15, 1]], 1/1382400], [[[1, 4], [2, 1], [3, 1], [4, 3], [10, 1], [20, 1]], 1/921600], [[[1, 4], [2, 1], [3, 1], [4, 3], [10, 1], [24, 1]], 1/1105920], [[[1, 4], [2, 1], [3, 1], [4, 3], [10, 1], [30, 1]], 1/1382400], [[[1, 4], [2, 1], [3, 1], [4, 3], [10, 2], [12, 1]], 17/132710400], [[[1, 4], [2, 1], [3, 1], [4, 3], [12, 1], [15, 1]], 17/6635520], [[[1, 4], [2, 1], [3, 1], [4, 3], [12, 1], [16, 1]], 1/73728], [[[1, 4], [2, 1], [3, 1], [4, 3], [12, 1], [20, 1]], 209/4423680], [[[1, 4], [2, 1], [3, 1], [4, 3], [12, 1], [24, 1]], 113/5308416], [[[1, 4], [2, 1], [3, 1], [4, 3], [12, 1], [30, 1]], 17/6635520], [[[1, 4], [2, 1], [3, 1], [4, 4], [5, 1], [6, 3]], 1/14332723200], [[[1, 4], [2, 1], [3, 1], [4, 4], [5, 1], [7, 1]], 1/51609600], [[[1, 4], [2, 1], [3, 1], [4, 4], [5, 1], [9, 1]], 61/5971968000], [[[1, 4], [2, 1], [3, 1], [4, 4], [5, 1], [14, 1]], 1/154828800], [[[1, 4], [2, 1], [3, 1], [4, 4], [5, 1], [18, 1]], 1/199065600], [[[1, 4], [2, 1], [3, 1], [4, 4], [5, 2], [6, 1]], 1/7962624000], [[[1, 4], [2, 1], [3, 1], [4, 4], [6, 1], [8, 2]], 8881/2548039680], [[[1, 4], [2, 1], [3, 1], [4, 4], [6, 1], [10, 2]], 1/7962624000], [[[1, 4], [2, 1], [3, 1], [4, 4], [6, 1], [12, 2]], 4807/3822059520], [[[1, 4], [2, 1], [3, 1], [4, 4], [6, 1], [15, 1]], 1/398131200], [[[1, 4], [2, 1], [3, 1], [4, 4], [6, 1], [20, 1]], 77/53084160], [[[1, 4], [2, 1], [3, 1], [4, 4], [6, 1], [24, 1]], 1/318504960], [[[1, 4], [2, 1], [3, 1], [4, 4], [6, 1], [30, 1]], 1/398131200], [[[1, 4], [2, 1], [3, 1], [4, 4], [6, 2], [7, 1]], 1/445906944], [[[1, 4], [2, 1], [3, 1], [4, 4], [6, 2], [9, 1]], 7/8599633920], [[[1, 4], [2, 1], [3, 1], [4, 4], [6, 2], [14, 1]], 1/2229534720], [[[1, 4], [2, 1], [3, 1], [4, 4], [6, 2], [18, 1]], 1/573308928], [[[1, 4], [2, 1], [3, 1], [4, 4], [6, 3], [8, 1]], 1/3822059520], [[[1, 4], [2, 1], [3, 1], [4, 4], [6, 3], [10, 1]], 1/4777574400], [[[1, 4], [2, 1], [3, 1], [4, 4], [6, 3], [12, 1]], 179/34398535680], [[[1, 4], [2, 1], [3, 1], [4, 4], [7, 1], [8, 1]], 1/123863040], [[[1, 4], [2, 1], [3, 1], [4, 4], [7, 1], [12, 1]], 65/74317824], [[[1, 4], [2, 1], [3, 1], [4, 4], [8, 1], [9, 1]], 37/382205952], [[[1, 4], [2, 1], [3, 1], [4, 4], [9, 1], [12, 1]], 259/477757440], [[[1, 4], [2, 1], [3, 1], [4, 4], [12, 1], [14, 1]], 23/53084160], [[[1, 4], [2, 1], [3, 1], [4, 4], [12, 1], [18, 1]], 161/477757440], [[[1, 4], [2, 1], [3, 1], [4, 5], [5, 1], [6, 2]], 1/3185049600], [[[1, 4], [2, 1], [3, 1], [4, 5], [5, 1], [8, 1]], 17/58982400], [[[1, 4], [2, 1], [3, 1], [4, 5], [5, 1], [10, 1]], 1/221184000], [[[1, 4], [2, 1], [3, 1], [4, 5], [5, 1], [12, 1]], 167/176947200], [[[1, 4], [2, 1], [3, 1], [4, 5], [6, 1], [7, 1]], 1/185794560], [[[1, 4], [2, 1], [3, 1], [4, 5], [6, 1], [9, 1]], 1/573308928], [[[1, 4], [2, 1], [3, 1], [4, 5], [6, 1], [18, 1]], 7/318504960], [[[1, 4], [2, 1], [3, 1], [4, 5], [6, 2], [8, 1]], 103/5096079360], [[[1, 4], [2, 1], [3, 1], [4, 5], [6, 2], [10, 1]], 1/3185049600], [[[1, 4], [2, 1], [3, 1], [4, 5], [6, 2], [12, 1]], 743/15288238080], [[[1, 4], [2, 1], [3, 1], [4, 5], [8, 1], [12, 1]], 2903/849346560], [[[1, 4], [2, 1], [3, 1], [4, 5], [10, 1], [12, 1]], 161/530841600], [[[1, 4], [2, 1], [3, 1], [4, 6], [6, 1], [8, 1]], 1/637009920], [[[1, 4], [2, 1], [3, 1], [4, 6], [6, 1], [10, 1]], 1/3185049600], [[[1, 4], [2, 1], [3, 1], [4, 6], [6, 1], [12, 1]], 161/22932357120], [[[1, 4], [2, 1], [3, 1], [5, 1], [6, 1], [8, 3]], 1/1105920], [[[1, 4], [2, 1], [3, 1], [5, 1], [6, 1], [10, 3]], 1/4320000], [[[1, 4], [2, 1], [3, 1], [5, 1], [6, 1], [12, 3]], 1/1658880], [[[1, 4], [2, 1], [3, 1], [5, 1], [6, 1], [18, 2]], 1/233280], [[[1, 4], [2, 1], [3, 1], [5, 1], [6, 3], [8, 2]], 1/59719680], [[[1, 4], [2, 1], [3, 1], [5, 1], [6, 3], [10, 2]], 1/186624000], [[[1, 4], [2, 1], [3, 1], [5, 1], [6, 3], [12, 2]], 11/17915904], [[[1, 4], [2, 1], [3, 1], [5, 1], [6, 3], [15, 1]], 1/9331200], [[[1, 4], [2, 1], [3, 1], [5, 1], [6, 3], [20, 1]], 1/6220800], [[[1, 4], [2, 1], [3, 1], [5, 1], [6, 3], [24, 1]], 1/7464960], [[[1, 4], [2, 1], [3, 1], [5, 1], [6, 3], [30, 1]], 1/9331200], [[[1, 4], [2, 1], [3, 1], [5, 1], [6, 4], [7, 1]], 1/174182400], [[[1, 4], [2, 1], [3, 1], [5, 1], [6, 4], [9, 1]], 61/20155392000], [[[1, 4], [2, 1], [3, 1], [5, 1], [6, 4], [14, 1]], 1/522547200], [[[1, 4], [2, 1], [3, 1], [5, 1], [6, 4], [18, 1]], 41/671846400], [[[1, 4], [2, 1], [3, 1], [5, 1], [6, 5], [8, 1]], 1/895795200], [[[1, 4], [2, 1], [3, 1], [5, 1], [6, 5], [10, 1]], 1/1119744000], [[[1, 4], [2, 1], [3, 1], [5, 1], [6, 5], [12, 1]], 11/895795200], [[[1, 4], [2, 1], [3, 1], [5, 1], [7, 1], [8, 2]], 1/215040], [[[1, 4], [2, 1], [3, 1], [5, 1], [7, 1], [10, 2]], 1/672000], [[[1, 4], [2, 1], [3, 1], [5, 1], [7, 1], [12, 2]], 1/322560], [[[1, 4], [2, 1], [3, 1], [5, 1], [7, 1], [15, 1]], 1/33600], [[[1, 4], [2, 1], [3, 1], [5, 1], [7, 1], [20, 1]], 1/22400], [[[1, 4], [2, 1], [3, 1], [5, 1], [7, 1], [24, 1]], 1/26880], [[[1, 4], [2, 1], [3, 1], [5, 1], [7, 1], [30, 1]], 1/33600], [[[1, 4], [2, 1], [3, 1], [5, 1], [8, 2], [9, 1]], 61/24883200], [[[1, 4], [2, 1], [3, 1], [5, 1], [8, 2], [14, 1]], 1/645120], [[[1, 4], [2, 1], [3, 1], [5, 1], [8, 2], [18, 1]], 1/829440], [[[1, 4], [2, 1], [3, 1], [5, 1], [9, 1], [10, 2]], 61/77760000], [[[1, 4], [2, 1], [3, 1], [5, 1], [9, 1], [12, 2]], 61/37324800], [[[1, 4], [2, 1], [3, 1], [5, 1], [9, 1], [15, 1]], 61/3888000], [[[1, 4], [2, 1], [3, 1], [5, 1], [9, 1], [20, 1]], 61/2592000], [[[1, 4], [2, 1], [3, 1], [5, 1], [9, 1], [24, 1]], 61/3110400], [[[1, 4], [2, 1], [3, 1], [5, 1], [9, 1], [30, 1]], 61/3888000], [[[1, 4], [2, 1], [3, 1], [5, 1], [10, 2], [14, 1]], 1/2016000], [[[1, 4], [2, 1], [3, 1], [5, 1], [10, 2], [18, 1]], 1/2592000], [[[1, 4], [2, 1], [3, 1], [5, 1], [12, 2], [14, 1]], 1/967680], [[[1, 4], [2, 1], [3, 1], [5, 1], [12, 2], [18, 1]], 1/1244160], [[[1, 4], [2, 1], [3, 1], [5, 1], [14, 1], [15, 1]], 1/100800], [[[1, 4], [2, 1], [3, 1], [5, 1], [14, 1], [20, 1]], 1/67200], [[[1, 4], [2, 1], [3, 1], [5, 1], [14, 1], [24, 1]], 1/80640], [[[1, 4], [2, 1], [3, 1], [5, 1], [14, 1], [30, 1]], 1/100800], [[[1, 4], [2, 1], [3, 1], [5, 1], [15, 1], [18, 1]], 1/129600], [[[1, 4], [2, 1], [3, 1], [5, 1], [18, 1], [20, 1]], 1/86400], [[[1, 4], [2, 1], [3, 1], [5, 1], [18, 1], [24, 1]], 1/103680], [[[1, 4], [2, 1], [3, 1], [5, 1], [18, 1], [30, 1]], 1/129600], [[[1, 4], [2, 1], [3, 1], [5, 2], [6, 1], [8, 2]], 1/33177600], [[[1, 4], [2, 1], [3, 1], [5, 2], [6, 1], [10, 2]], 301/103680000], [[[1, 4], [2, 1], [3, 1], [5, 2], [6, 1], [12, 2]], 7/49766400], [[[1, 4], [2, 1], [3, 1], [5, 2], [6, 1], [15, 1]], 1/5184000], [[[1, 4], [2, 1], [3, 1], [5, 2], [6, 1], [20, 1]], 1/3456000], [[[1, 4], [2, 1], [3, 1], [5, 2], [6, 1], [24, 1]], 1/4147200], [[[1, 4], [2, 1], [3, 1], [5, 2], [6, 1], [30, 1]], 1/5184000], [[[1, 4], [2, 1], [3, 1], [5, 2], [6, 2], [7, 1]], 1/5806080], [[[1, 4], [2, 1], [3, 1], [5, 2], [6, 2], [9, 1]], 7/111974400], [[[1, 4], [2, 1], [3, 1], [5, 2], [6, 2], [14, 1]], 1/29030400], [[[1, 4], [2, 1], [3, 1], [5, 2], [6, 2], [18, 1]], 1/7464960], [[[1, 4], [2, 1], [3, 1], [5, 2], [6, 3], [8, 1]], 1/49766400], [[[1, 4], [2, 1], [3, 1], [5, 2], [6, 3], [10, 1]], 1/62208000], [[[1, 4], [2, 1], [3, 1], [5, 2], [6, 3], [12, 1]], 19/447897600], [[[1, 4], [2, 1], [3, 1], [5, 2], [7, 1], [8, 1]], 1/1612800], [[[1, 4], [2, 1], [3, 1], [5, 2], [7, 1], [12, 1]], 1/967680], [[[1, 4], [2, 1], [3, 1], [5, 2], [8, 1], [9, 1]], 1/4976640], [[[1, 4], [2, 1], [3, 1], [5, 2], [9, 1], [12, 1]], 7/18662400], [[[1, 4], [2, 1], [3, 1], [5, 2], [12, 1], [14, 1]], 1/4838400], [[[1, 4], [2, 1], [3, 1], [5, 2], [12, 1], [18, 1]], 1/6220800], [[[1, 4], [2, 1], [3, 1], [5, 3], [6, 1], [8, 1]], 1/3456000], [[[1, 4], [2, 1], [3, 1], [5, 3], [6, 1], [10, 1]], 1/4320000], [[[1, 4], [2, 1], [3, 1], [5, 3], [6, 1], [12, 1]], 1/3456000], [[[1, 4], [2, 1], [3, 1], [6, 1], [8, 1], [9, 2]], 1/559872], [[[1, 4], [2, 1], [3, 1], [6, 1], [8, 1], [12, 3]], 1/3981312], [[[1, 4], [2, 1], [3, 1], [6, 1], [8, 2], [10, 2]], 1/33177600], [[[1, 4], [2, 1], [3, 1], [6, 1], [8, 2], [12, 2]], 7/15925248], [[[1, 4], [2, 1], [3, 1], [6, 1], [8, 2], [15, 1]], 1/1658880], [[[1, 4], [2, 1], [3, 1], [6, 1], [8, 2], [20, 1]], 1/1105920], [[[1, 4], [2, 1], [3, 1], [6, 1], [8, 2], [24, 1]], 11/442368], [[[1, 4], [2, 1], [3, 1], [6, 1], [8, 2], [30, 1]], 1/1658880], [[[1, 4], [2, 1], [3, 1], [6, 1], [8, 3], [12, 1]], 1/2654208], [[[1, 4], [2, 1], [3, 1], [6, 1], [9, 2], [10, 1]], 1/699840], [[[1, 4], [2, 1], [3, 1], [6, 1], [9, 2], [12, 1]], 1/559872], [[[1, 4], [2, 1], [3, 1], [6, 1], [10, 1], [12, 3]], 1/4976640], [[[1, 4], [2, 1], [3, 1], [6, 1], [10, 2], [12, 2]], 7/49766400], [[[1, 4], [2, 1], [3, 1], [6, 1], [10, 2], [15, 1]], 1/5184000], [[[1, 4], [2, 1], [3, 1], [6, 1], [10, 2], [20, 1]], 1/3456000], [[[1, 4], [2, 1], [3, 1], [6, 1], [10, 2], [24, 1]], 1/4147200], [[[1, 4], [2, 1], [3, 1], [6, 1], [10, 2], [30, 1]], 1/5184000], [[[1, 4], [2, 1], [3, 1], [6, 1], [10, 3], [12, 1]], 1/10368000], [[[1, 4], [2, 1], [3, 1], [6, 1], [12, 1], [18, 2]], 1/559872], [[[1, 4], [2, 1], [3, 1], [6, 1], [12, 1], [36, 1]], 1/31104], [[[1, 4], [2, 1], [3, 1], [6, 1], [12, 2], [15, 1]], 7/2488320], [[[1, 4], [2, 1], [3, 1], [6, 1], [12, 2], [20, 1]], 7/1658880], [[[1, 4], [2, 1], [3, 1], [6, 1], [12, 2], [24, 1]], 19/1990656], [[[1, 4], [2, 1], [3, 1], [6, 1], [12, 2], [30, 1]], 7/2488320], [[[1, 4], [2, 1], [3, 1], [6, 1], [15, 1], [20, 1]], 1/172800], [[[1, 4], [2, 1], [3, 1], [6, 1], [15, 1], [24, 1]], 1/207360], [[[1, 4], [2, 1], [3, 1], [6, 1], [15, 1], [30, 1]], 1/16200], [[[1, 4], [2, 1], [3, 1], [6, 1], [20, 1], [24, 1]], 1/138240], [[[1, 4], [2, 1], [3, 1], [6, 1], [20, 1], [30, 1]], 1/172800], [[[1, 4], [2, 1], [3, 1], [6, 1], [24, 1], [30, 1]], 1/207360], [[[1, 4], [2, 1], [3, 1], [6, 2], [7, 1], [8, 2]], 5/9289728], [[[1, 4], [2, 1], [3, 1], [6, 2], [7, 1], [10, 2]], 1/5806080], [[[1, 4], [2, 1], [3, 1], [6, 2], [7, 1], [12, 2]], 5/1990656], [[[1, 4], [2, 1], [3, 1], [6, 2], [7, 1], [15, 1]], 1/290304], [[[1, 4], [2, 1], [3, 1], [6, 2], [7, 1], [20, 1]], 1/193536], [[[1, 4], [2, 1], [3, 1], [6, 2], [7, 1], [24, 1]], 5/1161216], [[[1, 4], [2, 1], [3, 1], [6, 2], [7, 1], [30, 1]], 1/290304], [[[1, 4], [2, 1], [3, 1], [6, 2], [8, 2], [9, 1]], 7/35831808], [[[1, 4], [2, 1], [3, 1], [6, 2], [8, 2], [14, 1]], 1/9289728], [[[1, 4], [2, 1], [3, 1], [6, 2], [8, 2], [18, 1]], 5/11943936], [[[1, 4], [2, 1], [3, 1], [6, 2], [9, 1], [10, 2]], 7/111974400], [[[1, 4], [2, 1], [3, 1], [6, 2], [9, 1], [12, 2]], 49/53747712], [[[1, 4], [2, 1], [3, 1], [6, 2], [9, 1], [15, 1]], 7/5598720], [[[1, 4], [2, 1], [3, 1], [6, 2], [9, 1], [20, 1]], 7/3732480], [[[1, 4], [2, 1], [3, 1], [6, 2], [9, 1], [24, 1]], 7/4478976], [[[1, 4], [2, 1], [3, 1], [6, 2], [9, 1], [30, 1]], 7/5598720], [[[1, 4], [2, 1], [3, 1], [6, 2], [10, 2], [14, 1]], 1/29030400], [[[1, 4], [2, 1], [3, 1], [6, 2], [10, 2], [18, 1]], 1/7464960], [[[1, 4], [2, 1], [3, 1], [6, 2], [12, 2], [14, 1]], 1/1990656], [[[1, 4], [2, 1], [3, 1], [6, 2], [12, 2], [18, 1]], 35/17915904], [[[1, 4], [2, 1], [3, 1], [6, 2], [14, 1], [15, 1]], 1/1451520], [[[1, 4], [2, 1], [3, 1], [6, 2], [14, 1], [20, 1]], 1/967680], [[[1, 4], [2, 1], [3, 1], [6, 2], [14, 1], [24, 1]], 1/1161216], [[[1, 4], [2, 1], [3, 1], [6, 2], [14, 1], [30, 1]], 1/1451520], [[[1, 4], [2, 1], [3, 1], [6, 2], [15, 1], [18, 1]], 1/373248], [[[1, 4], [2, 1], [3, 1], [6, 2], [18, 1], [20, 1]], 1/248832], [[[1, 4], [2, 1], [3, 1], [6, 2], [18, 1], [24, 1]], 5/1492992], [[[1, 4], [2, 1], [3, 1], [6, 2], [18, 1], [30, 1]], 1/373248], [[[1, 4], [2, 1], [3, 1], [6, 3], [7, 1], [9, 1]], 1/7838208], [[[1, 4], [2, 1], [3, 1], [6, 3], [7, 1], [18, 1]], 5/2612736], [[[1, 4], [2, 1], [3, 1], [6, 3], [8, 1], [10, 2]], 1/49766400], [[[1, 4], [2, 1], [3, 1], [6, 3], [8, 1], [12, 2]], 7/23887872], [[[1, 4], [2, 1], [3, 1], [6, 3], [8, 1], [15, 1]], 1/2488320], [[[1, 4], [2, 1], [3, 1], [6, 3], [8, 1], [20, 1]], 1/1658880], [[[1, 4], [2, 1], [3, 1], [6, 3], [8, 1], [24, 1]], 1/1990656], [[[1, 4], [2, 1], [3, 1], [6, 3], [8, 1], [30, 1]], 1/2488320], [[[1, 4], [2, 1], [3, 1], [6, 3], [8, 2], [10, 1]], 1/19906560], [[[1, 4], [2, 1], [3, 1], [6, 3], [8, 2], [12, 1]], 19/143327232], [[[1, 4], [2, 1], [3, 1], [6, 3], [9, 1], [18, 1]], 7/10077696], [[[1, 4], [2, 1], [3, 1], [6, 3], [10, 1], [12, 2]], 7/29859840], [[[1, 4], [2, 1], [3, 1], [6, 3], [10, 1], [15, 1]], 1/3110400], [[[1, 4], [2, 1], [3, 1], [6, 3], [10, 1], [20, 1]], 1/2073600], [[[1, 4], [2, 1], [3, 1], [6, 3], [10, 1], [24, 1]], 1/2488320], [[[1, 4], [2, 1], [3, 1], [6, 3], [10, 1], [30, 1]], 1/3110400], [[[1, 4], [2, 1], [3, 1], [6, 3], [10, 2], [12, 1]], 19/447897600], [[[1, 4], [2, 1], [3, 1], [6, 3], [12, 1], [15, 1]], 19/22394880], [[[1, 4], [2, 1], [3, 1], [6, 3], [12, 1], [20, 1]], 19/14929920], [[[1, 4], [2, 1], [3, 1], [6, 3], [12, 1], [24, 1]], 19/17915904], [[[1, 4], [2, 1], [3, 1], [6, 3], [12, 1], [30, 1]], 19/22394880], [[[1, 4], [2, 1], [3, 1], [6, 3], [14, 1], [18, 1]], 1/2612736], [[[1, 4], [2, 1], [3, 1], [6, 4], [7, 1], [8, 1]], 1/418037760], [[[1, 4], [2, 1], [3, 1], [6, 4], [7, 1], [12, 1]], 13/35831808], [[[1, 4], [2, 1], [3, 1], [6, 4], [8, 1], [9, 1]], 1/1289945088], [[[1, 4], [2, 1], [3, 1], [6, 4], [8, 1], [18, 1]], 1/4478976], [[[1, 4], [2, 1], [3, 1], [6, 4], [9, 1], [12, 1]], 637/4837294080], [[[1, 4], [2, 1], [3, 1], [6, 4], [10, 1], [18, 1]], 1/5598720], [[[1, 4], [2, 1], [3, 1], [6, 4], [12, 1], [14, 1]], 13/179159040], [[[1, 4], [2, 1], [3, 1], [6, 4], [12, 1], [18, 1]], 851/1612431360], [[[1, 4], [2, 1], [3, 1], [6, 5], [8, 1], [12, 1]], 91/2149908480], [[[1, 4], [2, 1], [3, 1], [6, 5], [10, 1], [12, 1]], 91/2687385600], [[[1, 4], [2, 1], [3, 1], [7, 1], [8, 1], [10, 2]], 1/1612800], [[[1, 4], [2, 1], [3, 1], [7, 1], [8, 1], [12, 2]], 1/774144], [[[1, 4], [2, 1], [3, 1], [7, 1], [8, 1], [15, 1]], 1/80640], [[[1, 4], [2, 1], [3, 1], [7, 1], [8, 1], [20, 1]], 1/53760], [[[1, 4], [2, 1], [3, 1], [7, 1], [8, 1], [24, 1]], 1/64512], [[[1, 4], [2, 1], [3, 1], [7, 1], [8, 1], [30, 1]], 1/80640], [[[1, 4], [2, 1], [3, 1], [7, 1], [8, 2], [12, 1]], 5/1548288], [[[1, 4], [2, 1], [3, 1], [7, 1], [9, 1], [14, 1]], 1/84672], [[[1, 4], [2, 1], [3, 1], [7, 1], [9, 1], [18, 1]], 1/108864], [[[1, 4], [2, 1], [3, 1], [7, 1], [10, 2], [12, 1]], 1/967680], [[[1, 4], [2, 1], [3, 1], [7, 1], [12, 1], [15, 1]], 1/48384], [[[1, 4], [2, 1], [3, 1], [7, 1], [12, 1], [20, 1]], 1/32256], [[[1, 4], [2, 1], [3, 1], [7, 1], [12, 1], [24, 1]], 5/193536], [[[1, 4], [2, 1], [3, 1], [7, 1], [12, 1], [30, 1]], 1/48384], [[[1, 4], [2, 1], [3, 1], [8, 1], [9, 1], [10, 2]], 1/4976640], [[[1, 4], [2, 1], [3, 1], [8, 1], [9, 1], [12, 2]], 5/11943936], [[[1, 4], [2, 1], [3, 1], [8, 1], [9, 1], [15, 1]], 1/248832], [[[1, 4], [2, 1], [3, 1], [8, 1], [9, 1], [20, 1]], 1/165888], [[[1, 4], [2, 1], [3, 1], [8, 1], [9, 1], [24, 1]], 5/995328], [[[1, 4], [2, 1], [3, 1], [8, 1], [9, 1], [30, 1]], 1/248832], [[[1, 4], [2, 1], [3, 1], [8, 2], [9, 1], [12, 1]], 7/5971968], [[[1, 4], [2, 1], [3, 1], [8, 2], [12, 1], [14, 1]], 1/1548288], [[[1, 4], [2, 1], [3, 1], [8, 2], [12, 1], [18, 1]], 1/1990656], [[[1, 4], [2, 1], [3, 1], [9, 1], [10, 2], [12, 1]], 7/18662400], [[[1, 4], [2, 1], [3, 1], [9, 1], [12, 1], [15, 1]], 7/933120], [[[1, 4], [2, 1], [3, 1], [9, 1], [12, 1], [20, 1]], 7/622080], [[[1, 4], [2, 1], [3, 1], [9, 1], [12, 1], [24, 1]], 7/746496], [[[1, 4], [2, 1], [3, 1], [9, 1], [12, 1], [30, 1]], 7/933120], [[[1, 4], [2, 1], [3, 1], [10, 2], [12, 1], [14, 1]], 1/4838400], [[[1, 4], [2, 1], [3, 1], [10, 2], [12, 1], [18, 1]], 1/6220800], [[[1, 4], [2, 1], [3, 1], [12, 1], [14, 1], [15, 1]], 1/241920], [[[1, 4], [2, 1], [3, 1], [12, 1], [14, 1], [20, 1]], 1/161280], [[[1, 4], [2, 1], [3, 1], [12, 1], [14, 1], [24, 1]], 1/193536], [[[1, 4], [2, 1], [3, 1], [12, 1], [14, 1], [30, 1]], 1/241920], [[[1, 4], [2, 1], [3, 1], [12, 1], [15, 1], [18, 1]], 1/311040], [[[1, 4], [2, 1], [3, 1], [12, 1], [18, 1], [20, 1]], 1/207360], [[[1, 4], [2, 1], [3, 1], [12, 1], [18, 1], [24, 1]], 1/248832], [[[1, 4], [2, 1], [3, 1], [12, 1], [18, 1], [30, 1]], 1/311040], [[[1, 4], [2, 1], [3, 2], [4, 1], [5, 1], [6, 5]], 1/1343692800], [[[1, 4], [2, 1], [3, 2], [4, 1], [5, 2], [6, 3]], 17/1194393600], [[[1, 4], [2, 1], [3, 2], [4, 1], [5, 2], [9, 1]], 49/12441600], [[[1, 4], [2, 1], [3, 2], [4, 1], [5, 3], [6, 1]], 1/5184000], [[[1, 4], [2, 1], [3, 2], [4, 1], [6, 1], [8, 3]], 1/14155776], [[[1, 4], [2, 1], [3, 2], [4, 1], [6, 1], [9, 2]], 1/746496], [[[1, 4], [2, 1], [3, 2], [4, 1], [6, 1], [12, 3]], 593/95551488], [[[1, 4], [2, 1], [3, 2], [4, 1], [6, 3], [8, 2]], 35/382205952], [[[1, 4], [2, 1], [3, 2], [4, 1], [6, 3], [10, 2]], 17/1194393600], [[[1, 4], [2, 1], [3, 2], [4, 1], [6, 3], [12, 2]], 839/573308928], [[[1, 4], [2, 1], [3, 2], [4, 1], [6, 3], [15, 1]], 17/59719680], [[[1, 4], [2, 1], [3, 2], [4, 1], [6, 3], [16, 1]], 1/165888], [[[1, 4], [2, 1], [3, 2], [4, 1], [6, 3], [20, 1]], 17/39813120], [[[1, 4], [2, 1], [3, 2], [4, 1], [6, 3], [24, 1]], 377/47775744], [[[1, 4], [2, 1], [3, 2], [4, 1], [6, 3], [30, 1]], 17/59719680], [[[1, 4], [2, 1], [3, 2], [4, 1], [6, 4], [9, 1]], 1/3224862720], [[[1, 4], [2, 1], [3, 2], [4, 1], [6, 4], [18, 1]], 17/107495424], [[[1, 4], [2, 1], [3, 2], [4, 1], [6, 5], [8, 1]], 11/11466178560], [[[1, 4], [2, 1], [3, 2], [4, 1], [6, 5], [12, 1]], 1547/51597803520], [[[1, 4], [2, 1], [3, 2], [4, 1], [7, 1], [12, 2]], 1/387072], [[[1, 4], [2, 1], [3, 2], [4, 1], [8, 2], [9, 1]], 7/3981312], [[[1, 4], [2, 1], [3, 2], [4, 1], [9, 1], [10, 2]], 1/12441600], [[[1, 4], [2, 1], [3, 2], [4, 1], [9, 1], [12, 2]], 7/1990656], [[[1, 4], [2, 1], [3, 2], [4, 1], [9, 1], [15, 1]], 1/622080], [[[1, 4], [2, 1], [3, 2], [4, 1], [9, 1], [20, 1]], 1/414720], [[[1, 4], [2, 1], [3, 2], [4, 1], [9, 1], [24, 1]], 1/497664], [[[1, 4], [2, 1], [3, 2], [4, 1], [9, 1], [30, 1]], 1/622080], [[[1, 4], [2, 1], [3, 2], [4, 2], [5, 1], [6, 4]], 1/5374771200], [[[1, 4], [2, 1], [3, 2], [4, 2], [5, 1], [8, 2]], 1/6635520], [[[1, 4], [2, 1], [3, 2], [4, 2], [5, 1], [10, 2]], 1/20736000], [[[1, 4], [2, 1], [3, 2], [4, 2], [5, 1], [12, 2]], 1/230400], [[[1, 4], [2, 1], [3, 2], [4, 2], [5, 1], [15, 1]], 1/1036800], [[[1, 4], [2, 1], [3, 2], [4, 2], [5, 1], [20, 1]], 1/691200], [[[1, 4], [2, 1], [3, 2], [4, 2], [5, 1], [24, 1]], 1/829440], [[[1, 4], [2, 1], [3, 2], [4, 2], [5, 1], [30, 1]], 1/1036800], [[[1, 4], [2, 1], [3, 2], [4, 2], [5, 2], [6, 2]], 269/38220595200], [[[1, 4], [2, 1], [3, 2], [4, 2], [5, 2], [8, 1]], 1/33177600], [[[1, 4], [2, 1], [3, 2], [4, 2], [5, 2], [12, 1]], 170101/57330892800], [[[1, 4], [2, 1], [3, 2], [4, 2], [6, 2], [8, 2]], 2537/12230590464], [[[1, 4], [2, 1], [3, 2], [4, 2], [6, 2], [10, 2]], 269/38220595200], [[[1, 4], [2, 1], [3, 2], [4, 2], [6, 2], [12, 2]], 36353/55037657088], [[[1, 4], [2, 1], [3, 2], [4, 2], [6, 2], [15, 1]], 269/1911029760], [[[1, 4], [2, 1], [3, 2], [4, 2], [6, 2], [20, 1]], 269/1274019840], [[[1, 4], [2, 1], [3, 2], [4, 2], [6, 2], [24, 1]], 1205/1528823808], [[[1, 4], [2, 1], [3, 2], [4, 2], [6, 2], [30, 1]], 269/1911029760], [[[1, 4], [2, 1], [3, 2], [4, 2], [6, 3], [9, 1]], 1/161243136], [[[1, 4], [2, 1], [3, 2], [4, 2], [6, 3], [18, 1]], 269/3439853568], [[[1, 4], [2, 1], [3, 2], [4, 2], [6, 4], [8, 1]], 1/8599633920], [[[1, 4], [2, 1], [3, 2], [4, 2], [6, 4], [12, 1]], 705943/14860167413760], [[[1, 4], [2, 1], [3, 2], [4, 2], [7, 1], [9, 1]], 1/870912], [[[1, 4], [2, 1], [3, 2], [4, 2], [8, 1], [10, 2]], 1/33177600], [[[1, 4], [2, 1], [3, 2], [4, 2], [8, 1], [12, 2]], 1/589824], [[[1, 4], [2, 1], [3, 2], [4, 2], [8, 1], [15, 1]], 1/1658880], [[[1, 4], [2, 1], [3, 2], [4, 2], [8, 1], [16, 1]], 7/1327104], [[[1, 4], [2, 1], [3, 2], [4, 2], [8, 1], [20, 1]], 1/1105920], [[[1, 4], [2, 1], [3, 2], [4, 2], [8, 1], [24, 1]], 1/1327104], [[[1, 4], [2, 1], [3, 2], [4, 2], [8, 1], [30, 1]], 1/1658880], [[[1, 4], [2, 1], [3, 2], [4, 2], [8, 2], [12, 1]], 46129/18345885696], [[[1, 4], [2, 1], [3, 2], [4, 2], [9, 1], [14, 1]], 1/1741824], [[[1, 4], [2, 1], [3, 2], [4, 2], [9, 1], [18, 1]], 1/2239488], [[[1, 4], [2, 1], [3, 2], [4, 2], [10, 2], [12, 1]], 4213/57330892800], [[[1, 4], [2, 1], [3, 2], [4, 2], [12, 1], [15, 1]], 4213/2866544640], [[[1, 4], [2, 1], [3, 2], [4, 2], [12, 1], [20, 1]], 25717/1911029760], [[[1, 4], [2, 1], [3, 2], [4, 2], [12, 1], [24, 1]], 14965/2293235712], [[[1, 4], [2, 1], [3, 2], [4, 2], [12, 1], [30, 1]], 4213/2866544640], [[[1, 4], [2, 1], [3, 2], [4, 3], [5, 1], [9, 1]], 1/1658880], [[[1, 4], [2, 1], [3, 2], [4, 3], [5, 2], [6, 1]], 1/49766400], [[[1, 4], [2, 1], [3, 2], [4, 3], [6, 1], [8, 2]], 1/15925248], [[[1, 4], [2, 1], [3, 2], [4, 3], [6, 1], [10, 2]], 1/49766400], [[[1, 4], [2, 1], [3, 2], [4, 3], [6, 1], [12, 2]], 19/1327104], [[[1, 4], [2, 1], [3, 2], [4, 3], [6, 1], [15, 1]], 1/2488320], [[[1, 4], [2, 1], [3, 2], [4, 3], [6, 1], [16, 1]], 1/110592], [[[1, 4], [2, 1], [3, 2], [4, 3], [6, 1], [20, 1]], 1/1658880], [[[1, 4], [2, 1], [3, 2], [4, 3], [6, 1], [24, 1]], 19/1990656], [[[1, 4], [2, 1], [3, 2], [4, 3], [6, 1], [30, 1]], 1/2488320], [[[1, 4], [2, 1], [3, 2], [4, 3], [6, 2], [7, 1]], 1/74317824], [[[1, 4], [2, 1], [3, 2], [4, 3], [6, 2], [9, 1]], 5/286654464], [[[1, 4], [2, 1], [3, 2], [4, 3], [6, 2], [18, 1]], 1/4478976], [[[1, 4], [2, 1], [3, 2], [4, 3], [6, 3], [8, 1]], 1/1990656], [[[1, 4], [2, 1], [3, 2], [4, 3], [6, 3], [12, 1]], 383/143327232], [[[1, 4], [2, 1], [3, 2], [4, 3], [7, 1], [12, 1]], 1/12386304], [[[1, 4], [2, 1], [3, 2], [4, 3], [8, 1], [9, 1]], 11/7962624], [[[1, 4], [2, 1], [3, 2], [4, 3], [9, 1], [10, 1]], 1/2488320], [[[1, 4], [2, 1], [3, 2], [4, 3], [9, 1], [12, 1]], 23/15925248], [[[1, 4], [2, 1], [3, 2], [4, 4], [5, 1], [6, 2]], 211/191102976000], [[[1, 4], [2, 1], [3, 2], [4, 4], [5, 1], [8, 1]], 1/265420800], [[[1, 4], [2, 1], [3, 2], [4, 4], [5, 1], [12, 1]], 4337/10616832000], [[[1, 4], [2, 1], [3, 2], [4, 4], [6, 1], [7, 1]], 1/743178240], [[[1, 4], [2, 1], [3, 2], [4, 4], [6, 1], [9, 1]], 1/573308928], [[[1, 4], [2, 1], [3, 2], [4, 4], [6, 1], [18, 1]], 187/12899450880], [[[1, 4], [2, 1], [3, 2], [4, 4], [6, 2], [8, 1]], 197/61152952320], [[[1, 4], [2, 1], [3, 2], [4, 4], [6, 2], [12, 1]], 143/537477120], [[[1, 4], [2, 1], [3, 2], [4, 4], [8, 1], [12, 1]], 919/3397386240], [[[1, 4], [2, 1], [3, 2], [4, 5], [5, 1], [6, 1]], 1/398131200], [[[1, 4], [2, 1], [3, 2], [4, 5], [6, 1], [8, 1]], 2561/3397386240], [[[1, 4], [2, 1], [3, 2], [4, 5], [6, 1], [12, 1]], 16219/5096079360], [[[1, 4], [2, 1], [3, 2], [5, 1], [6, 2], [8, 2]], 211/796262400], [[[1, 4], [2, 1], [3, 2], [5, 1], [6, 2], [10, 2]], 211/2488320000], [[[1, 4], [2, 1], [3, 2], [5, 1], [6, 2], [12, 2]], 3061/1194393600], [[[1, 4], [2, 1], [3, 2], [5, 1], [6, 2], [15, 1]], 211/124416000], [[[1, 4], [2, 1], [3, 2], [5, 1], [6, 2], [20, 1]], 211/82944000], [[[1, 4], [2, 1], [3, 2], [5, 1], [6, 2], [24, 1]], 1003/99532800], [[[1, 4], [2, 1], [3, 2], [5, 1], [6, 2], [30, 1]], 211/124416000], [[[1, 4], [2, 1], [3, 2], [5, 1], [6, 3], [9, 1]], 1/16796160], [[[1, 4], [2, 1], [3, 2], [5, 1], [6, 3], [18, 1]], 211/223948800], [[[1, 4], [2, 1], [3, 2], [5, 1], [6, 4], [8, 1]], 1/895795200], [[[1, 4], [2, 1], [3, 2], [5, 1], [6, 4], [12, 1]], 19201/107495424000], [[[1, 4], [2, 1], [3, 2], [5, 1], [7, 1], [9, 1]], 1/60480], [[[1, 4], [2, 1], [3, 2], [5, 1], [8, 1], [10, 2]], 1/3456000], [[[1, 4], [2, 1], [3, 2], [5, 1], [8, 1], [12, 2]], 1/1658880], [[[1, 4], [2, 1], [3, 2], [5, 1], [8, 1], [15, 1]], 1/172800], [[[1, 4], [2, 1], [3, 2], [5, 1], [8, 1], [20, 1]], 1/115200], [[[1, 4], [2, 1], [3, 2], [5, 1], [8, 1], [24, 1]], 1/138240], [[[1, 4], [2, 1], [3, 2], [5, 1], [8, 1], [30, 1]], 1/172800], [[[1, 4], [2, 1], [3, 2], [5, 1], [8, 2], [12, 1]], 211/132710400], [[[1, 4], [2, 1], [3, 2], [5, 1], [9, 1], [14, 1]], 1/181440], [[[1, 4], [2, 1], [3, 2], [5, 1], [9, 1], [18, 1]], 1/233280], [[[1, 4], [2, 1], [3, 2], [5, 1], [10, 2], [12, 1]], 211/414720000], [[[1, 4], [2, 1], [3, 2], [5, 1], [12, 1], [15, 1]], 211/20736000], [[[1, 4], [2, 1], [3, 2], [5, 1], [12, 1], [20, 1]], 211/13824000], [[[1, 4], [2, 1], [3, 2], [5, 1], [12, 1], [24, 1]], 211/16588800], [[[1, 4], [2, 1], [3, 2], [5, 1], [12, 1], [30, 1]], 211/20736000], [[[1, 4], [2, 1], [3, 2], [5, 2], [6, 1], [7, 1]], 1/9676800], [[[1, 4], [2, 1], [3, 2], [5, 2], [6, 1], [9, 1]], 1/7464960], [[[1, 4], [2, 1], [3, 2], [5, 2], [6, 1], [18, 1]], 131/33592320], [[[1, 4], [2, 1], [3, 2], [5, 2], [6, 2], [8, 1]], 17/796262400], [[[1, 4], [2, 1], [3, 2], [5, 2], [6, 2], [12, 1]], 697/895795200], [[[1, 4], [2, 1], [3, 2], [5, 2], [8, 1], [12, 1]], 17/132710400], [[[1, 4], [2, 1], [3, 2], [6, 1], [7, 1], [8, 2]], 1/3096576], [[[1, 4], [2, 1], [3, 2], [6, 1], [7, 1], [10, 2]], 1/9676800], [[[1, 4], [2, 1], [3, 2], [6, 1], [7, 1], [12, 2]], 1/663552], [[[1, 4], [2, 1], [3, 2], [6, 1], [7, 1], [15, 1]], 1/483840], [[[1, 4], [2, 1], [3, 2], [6, 1], [7, 1], [20, 1]], 1/322560], [[[1, 4], [2, 1], [3, 2], [6, 1], [7, 1], [24, 1]], 1/387072], [[[1, 4], [2, 1], [3, 2], [6, 1], [7, 1], [30, 1]], 1/483840], [[[1, 4], [2, 1], [3, 2], [6, 1], [8, 2], [9, 1]], 5/11943936], [[[1, 4], [2, 1], [3, 2], [6, 1], [8, 2], [18, 1]], 7/53747712], [[[1, 4], [2, 1], [3, 2], [6, 1], [9, 1], [10, 2]], 1/7464960], [[[1, 4], [2, 1], [3, 2], [6, 1], [9, 1], [12, 2]], 35/17915904], [[[1, 4], [2, 1], [3, 2], [6, 1], [9, 1], [15, 1]], 1/373248], [[[1, 4], [2, 1], [3, 2], [6, 1], [9, 1], [20, 1]], 1/248832], [[[1, 4], [2, 1], [3, 2], [6, 1], [9, 1], [24, 1]], 5/1492992], [[[1, 4], [2, 1], [3, 2], [6, 1], [9, 1], [30, 1]], 1/373248], [[[1, 4], [2, 1], [3, 2], [6, 1], [10, 2], [18, 1]], 7/167961600], [[[1, 4], [2, 1], [3, 2], [6, 1], [12, 2], [18, 1]], 133/80621568], [[[1, 4], [2, 1], [3, 2], [6, 1], [15, 1], [18, 1]], 7/8398080], [[[1, 4], [2, 1], [3, 2], [6, 1], [18, 1], [20, 1]], 7/5598720], [[[1, 4], [2, 1], [3, 2], [6, 1], [18, 1], [24, 1]], 7/6718464], [[[1, 4], [2, 1], [3, 2], [6, 1], [18, 1], [30, 1]], 7/8398080], [[[1, 4], [2, 1], [3, 2], [6, 2], [7, 1], [9, 1]], 25/10450944], [[[1, 4], [2, 1], [3, 2], [6, 2], [7, 1], [14, 1]], 1/2709504], [[[1, 4], [2, 1], [3, 2], [6, 2], [7, 1], [18, 1]], 5/3483648], [[[1, 4], [2, 1], [3, 2], [6, 2], [8, 1], [10, 2]], 17/796262400], [[[1, 4], [2, 1], [3, 2], [6, 2], [8, 1], [12, 2]], 263/382205952], [[[1, 4], [2, 1], [3, 2], [6, 2], [8, 1], [15, 1]], 17/39813120], [[[1, 4], [2, 1], [3, 2], [6, 2], [8, 1], [20, 1]], 17/26542080], [[[1, 4], [2, 1], [3, 2], [6, 2], [8, 1], [24, 1]], 89/31850496], [[[1, 4], [2, 1], [3, 2], [6, 2], [8, 1], [30, 1]], 17/39813120], [[[1, 4], [2, 1], [3, 2], [6, 2], [8, 2], [12, 1]], 49/286654464], [[[1, 4], [2, 1], [3, 2], [6, 2], [9, 1], [14, 1]], 5/10450944], [[[1, 4], [2, 1], [3, 2], [6, 2], [9, 1], [18, 1]], 457/13436928], [[[1, 4], [2, 1], [3, 2], [6, 2], [10, 2], [12, 1]], 49/895795200], [[[1, 4], [2, 1], [3, 2], [6, 2], [12, 1], [15, 1]], 49/44789760], [[[1, 4], [2, 1], [3, 2], [6, 2], [12, 1], [20, 1]], 49/29859840], [[[1, 4], [2, 1], [3, 2], [6, 2], [12, 1], [24, 1]], 49/35831808], [[[1, 4], [2, 1], [3, 2], [6, 2], [12, 1], [30, 1]], 49/44789760], [[[1, 4], [2, 1], [3, 2], [6, 3], [7, 1], [8, 1]], 1/4644864], [[[1, 4], [2, 1], [3, 2], [6, 3], [7, 1], [10, 1]], 1/5806080], [[[1, 4], [2, 1], [3, 2], [6, 3], [7, 1], [12, 1]], 19/41803776], [[[1, 4], [2, 1], [3, 2], [6, 3], [8, 1], [9, 1]], 5/17915904], [[[1, 4], [2, 1], [3, 2], [6, 3], [8, 1], [18, 1]], 17/71663616], [[[1, 4], [2, 1], [3, 2], [6, 3], [9, 1], [10, 1]], 1/4478976], [[[1, 4], [2, 1], [3, 2], [6, 3], [9, 1], [12, 1]], 95/161243136], [[[1, 4], [2, 1], [3, 2], [6, 3], [12, 1], [18, 1]], 49/80621568], [[[1, 4], [2, 1], [3, 2], [6, 4], [8, 1], [12, 1]], 1547/34398535680], [[[1, 4], [2, 1], [3, 2], [7, 1], [8, 1], [9, 1]], 1/145152], [[[1, 4], [2, 1], [3, 2], [7, 1], [9, 1], [12, 1]], 25/1741824], [[[1, 4], [2, 1], [3, 2], [7, 1], [12, 1], [14, 1]], 1/451584], [[[1, 4], [2, 1], [3, 2], [7, 1], [12, 1], [18, 1]], 1/580608], [[[1, 4], [2, 1], [3, 2], [8, 1], [10, 2], [12, 1]], 17/132710400], [[[1, 4], [2, 1], [3, 2], [8, 1], [12, 1], [15, 1]], 17/6635520], [[[1, 4], [2, 1], [3, 2], [8, 1], [12, 1], [20, 1]], 17/4423680], [[[1, 4], [2, 1], [3, 2], [8, 1], [12, 1], [24, 1]], 17/5308416], [[[1, 4], [2, 1], [3, 2], [8, 1], [12, 1], [30, 1]], 17/6635520], [[[1, 4], [2, 1], [3, 2], [9, 1], [12, 1], [14, 1]], 5/1741824], [[[1, 4], [2, 1], [3, 2], [9, 1], [12, 1], [18, 1]], 5/2239488], [[[1, 4], [2, 1], [3, 3], [4, 1], [5, 1], [6, 4]], 811/96745881600], [[[1, 4], [2, 1], [3, 3], [4, 1], [5, 1], [8, 2]], 1/119439360], [[[1, 4], [2, 1], [3, 3], [4, 1], [5, 1], [10, 2]], 1/373248000], [[[1, 4], [2, 1], [3, 3], [4, 1], [5, 1], [12, 2]], 271/179159040], [[[1, 4], [2, 1], [3, 3], [4, 1], [5, 1], [15, 1]], 1/18662400], [[[1, 4], [2, 1], [3, 3], [4, 1], [5, 1], [20, 1]], 1/12441600], [[[1, 4], [2, 1], [3, 3], [4, 1], [5, 1], [24, 1]], 1/14929920], [[[1, 4], [2, 1], [3, 3], [4, 1], [5, 1], [30, 1]], 1/18662400], [[[1, 4], [2, 1], [3, 3], [4, 1], [5, 2], [6, 2]], 49/398131200], [[[1, 4], [2, 1], [3, 3], [4, 1], [5, 2], [8, 1]], 7/597196800], [[[1, 4], [2, 1], [3, 3], [4, 1], [5, 2], [10, 1]], 1/373248000], [[[1, 4], [2, 1], [3, 3], [4, 1], [5, 2], [12, 1]], 1331/1791590400], [[[1, 4], [2, 1], [3, 3], [4, 1], [6, 2], [8, 2]], 7/127401984], [[[1, 4], [2, 1], [3, 3], [4, 1], [6, 2], [10, 2]], 1/398131200], [[[1, 4], [2, 1], [3, 3], [4, 1], [6, 2], [12, 2]], 12031/1719926784], [[[1, 4], [2, 1], [3, 3], [4, 1], [6, 2], [15, 1]], 1/19906560], [[[1, 4], [2, 1], [3, 3], [4, 1], [6, 2], [20, 1]], 1/13271040], [[[1, 4], [2, 1], [3, 3], [4, 1], [6, 2], [24, 1]], 73/15925248], [[[1, 4], [2, 1], [3, 3], [4, 1], [6, 2], [30, 1]], 1/19906560], [[[1, 4], [2, 1], [3, 3], [4, 1], [6, 3], [7, 1]], 25/6967296], [[[1, 4], [2, 1], [3, 3], [4, 1], [6, 3], [9, 1]], 13/11943936], [[[1, 4], [2, 1], [3, 3], [4, 1], [6, 3], [18, 1]], 1/35831808], [[[1, 4], [2, 1], [3, 3], [4, 1], [6, 4], [8, 1]], 5677/154793410560], [[[1, 4], [2, 1], [3, 3], [4, 1], [6, 4], [10, 1]], 811/96745881600], [[[1, 4], [2, 1], [3, 3], [4, 1], [6, 4], [12, 1]], 95101/92876046336], [[[1, 4], [2, 1], [3, 3], [4, 1], [7, 1], [14, 1]], 1/870912], [[[1, 4], [2, 1], [3, 3], [4, 1], [8, 1], [10, 2]], 7/597196800], [[[1, 4], [2, 1], [3, 3], [4, 1], [8, 1], [12, 2]], 385/286654464], [[[1, 4], [2, 1], [3, 3], [4, 1], [8, 1], [15, 1]], 7/29859840], [[[1, 4], [2, 1], [3, 3], [4, 1], [8, 1], [16, 1]], 5/1990656], [[[1, 4], [2, 1], [3, 3], [4, 1], [8, 1], [20, 1]], 23/19906560], [[[1, 4], [2, 1], [3, 3], [4, 1], [8, 1], [24, 1]], 13/7962624], [[[1, 4], [2, 1], [3, 3], [4, 1], [8, 1], [30, 1]], 7/29859840], [[[1, 4], [2, 1], [3, 3], [4, 1], [8, 2], [10, 1]], 1/119439360], [[[1, 4], [2, 1], [3, 3], [4, 1], [8, 2], [12, 1]], 197/573308928], [[[1, 4], [2, 1], [3, 3], [4, 1], [9, 1], [18, 1]], 1/1119744], [[[1, 4], [2, 1], [3, 3], [4, 1], [10, 1], [12, 2]], 11/35831808], [[[1, 4], [2, 1], [3, 3], [4, 1], [10, 1], [15, 1]], 1/18662400], [[[1, 4], [2, 1], [3, 3], [4, 1], [10, 1], [20, 1]], 1/12441600], [[[1, 4], [2, 1], [3, 3], [4, 1], [10, 1], [24, 1]], 1/14929920], [[[1, 4], [2, 1], [3, 3], [4, 1], [10, 1], [30, 1]], 1/18662400], [[[1, 4], [2, 1], [3, 3], [4, 1], [10, 2], [12, 1]], 7/358318080], [[[1, 4], [2, 1], [3, 3], [4, 1], [12, 1], [15, 1]], 7/17915904], [[[1, 4], [2, 1], [3, 3], [4, 1], [12, 1], [16, 1]], 1/1492992], [[[1, 4], [2, 1], [3, 3], [4, 1], [12, 1], [20, 1]], 67/59719680], [[[1, 4], [2, 1], [3, 3], [4, 1], [12, 1], [24, 1]], 83/71663616], [[[1, 4], [2, 1], [3, 3], [4, 1], [12, 1], [30, 1]], 7/17915904], [[[1, 4], [2, 1], [3, 3], [4, 2], [5, 1], [9, 1]], 1/1866240], [[[1, 4], [2, 1], [3, 3], [4, 2], [5, 2], [6, 1]], 1/199065600], [[[1, 4], [2, 1], [3, 3], [4, 2], [6, 1], [8, 2]], 1/63700992], [[[1, 4], [2, 1], [3, 3], [4, 2], [6, 1], [10, 2]], 1/199065600], [[[1, 4], [2, 1], [3, 3], [4, 2], [6, 1], [12, 2]], 93679/859963392], [[[1, 4], [2, 1], [3, 3], [4, 2], [6, 1], [15, 1]], 1/9953280], [[[1, 4], [2, 1], [3, 3], [4, 2], [6, 1], [20, 1]], 1/6635520], [[[1, 4], [2, 1], [3, 3], [4, 2], [6, 1], [24, 1]], 1/7962624], [[[1, 4], [2, 1], [3, 3], [4, 2], [6, 1], [30, 1]], 1/9953280], [[[1, 4], [2, 1], [3, 3], [4, 2], [6, 2], [7, 1]], 1/27869184], [[[1, 4], [2, 1], [3, 3], [4, 2], [6, 2], [9, 1]], 37/382205952], [[[1, 4], [2, 1], [3, 3], [4, 2], [6, 2], [14, 1]], 1/55738368], [[[1, 4], [2, 1], [3, 3], [4, 2], [6, 2], [18, 1]], 5/71663616], [[[1, 4], [2, 1], [3, 3], [4, 2], [6, 3], [8, 1]], 19/23887872], [[[1, 4], [2, 1], [3, 3], [4, 2], [6, 3], [10, 1]], 1/119439360], [[[1, 4], [2, 1], [3, 3], [4, 2], [6, 3], [12, 1]], 48473/23219011584], [[[1, 4], [2, 1], [3, 3], [4, 2], [7, 1], [12, 1]], 47/125411328], [[[1, 4], [2, 1], [3, 3], [4, 2], [8, 1], [9, 1]], 1/2985984], [[[1, 4], [2, 1], [3, 3], [4, 2], [9, 1], [12, 1]], 15263/15479341056], [[[1, 4], [2, 1], [3, 3], [4, 2], [12, 1], [14, 1]], 5/35831808], [[[1, 4], [2, 1], [3, 3], [4, 2], [12, 1], [18, 1]], 35/322486272], [[[1, 4], [2, 1], [3, 3], [4, 3], [5, 1], [6, 2]], 1/53084160], [[[1, 4], [2, 1], [3, 3], [4, 3], [5, 1], [12, 1]], 97/716636160], [[[1, 4], [2, 1], [3, 3], [4, 3], [6, 1], [9, 1]], 1/4478976], [[[1, 4], [2, 1], [3, 3], [4, 3], [6, 1], [18, 1]], 1/644972544], [[[1, 4], [2, 1], [3, 3], [4, 3], [6, 2], [8, 1]], 11/254803968], [[[1, 4], [2, 1], [3, 3], [4, 3], [6, 2], [10, 1]], 1/79626240], [[[1, 4], [2, 1], [3, 3], [4, 3], [6, 2], [12, 1]], 10531/3439853568], [[[1, 4], [2, 1], [3, 3], [4, 3], [8, 1], [12, 1]], 601/1146617856], [[[1, 4], [2, 1], [3, 3], [4, 3], [10, 1], [12, 1]], 7/71663616], [[[1, 4], [2, 1], [3, 3], [4, 4], [5, 1], [6, 1]], 1/1592524800], [[[1, 4], [2, 1], [3, 3], [4, 4], [6, 1], [8, 1]], 1/34398535680], [[[1, 4], [2, 1], [3, 3], [4, 4], [6, 1], [10, 1]], 1/42998169600], [[[1, 4], [2, 1], [3, 3], [4, 4], [6, 1], [12, 1]], 1459/34398535680], [[[1, 4], [2, 1], [3, 3], [5, 1], [6, 1], [8, 2]], 1/6635520], [[[1, 4], [2, 1], [3, 3], [5, 1], [6, 1], [10, 2]], 1/20736000], [[[1, 4], [2, 1], [3, 3], [5, 1], [6, 1], [12, 2]], 7/9953280], [[[1, 4], [2, 1], [3, 3], [5, 1], [6, 1], [15, 1]], 1441/1036800], [[[1, 4], [2, 1], [3, 3], [5, 1], [6, 1], [20, 1]], 1/691200], [[[1, 4], [2, 1], [3, 3], [5, 1], [6, 1], [24, 1]], 1/829440], [[[1, 4], [2, 1], [3, 3], [5, 1], [6, 1], [30, 1]], 1/1036800], [[[1, 4], [2, 1], [3, 3], [5, 1], [6, 2], [7, 1]], 1/1935360], [[[1, 4], [2, 1], [3, 3], [5, 1], [6, 2], [9, 1]], 29/24883200], [[[1, 4], [2, 1], [3, 3], [5, 1], [6, 2], [14, 1]], 1/5806080], [[[1, 4], [2, 1], [3, 3], [5, 1], [6, 2], [18, 1]], 1/1492992], [[[1, 4], [2, 1], [3, 3], [5, 1], [6, 3], [8, 1]], 1/9953280], [[[1, 4], [2, 1], [3, 3], [5, 1], [6, 3], [10, 1]], 1/12441600], [[[1, 4], [2, 1], [3, 3], [5, 1], [6, 3], [12, 1]], 19/89579520], [[[1, 4], [2, 1], [3, 3], [5, 1], [7, 1], [12, 1]], 1/322560], [[[1, 4], [2, 1], [3, 3], [5, 1], [8, 1], [9, 1]], 1/311040], [[[1, 4], [2, 1], [3, 3], [5, 1], [9, 1], [12, 1]], 29/4147200], [[[1, 4], [2, 1], [3, 3], [5, 1], [12, 1], [14, 1]], 1/967680], [[[1, 4], [2, 1], [3, 3], [5, 1], [12, 1], [18, 1]], 1/1244160], [[[1, 4], [2, 1], [3, 3], [5, 2], [6, 1], [8, 1]], 1/447897600], [[[1, 4], [2, 1], [3, 3], [5, 2], [6, 1], [10, 1]], 1/559872000], [[[1, 4], [2, 1], [3, 3], [5, 2], [6, 1], [12, 1]], 19/447897600], [[[1, 4], [2, 1], [3, 3], [6, 1], [7, 1], [9, 1]], 1/870912], [[[1, 4], [2, 1], [3, 3], [6, 1], [7, 1], [18, 1]], 5/23514624], [[[1, 4], [2, 1], [3, 3], [6, 1], [8, 1], [10, 2]], 1/447897600], [[[1, 4], [2, 1], [3, 3], [6, 1], [8, 1], [12, 2]], 55/214990848], [[[1, 4], [2, 1], [3, 3], [6, 1], [8, 1], [15, 1]], 1/22394880], [[[1, 4], [2, 1], [3, 3], [6, 1], [8, 1], [20, 1]], 1/14929920], [[[1, 4], [2, 1], [3, 3], [6, 1], [8, 1], [24, 1]], 7777/17915904], [[[1, 4], [2, 1], [3, 3], [6, 1], [8, 1], [30, 1]], 1/22394880], [[[1, 4], [2, 1], [3, 3], [6, 1], [8, 2], [10, 1]], 1/179159040], [[[1, 4], [2, 1], [3, 3], [6, 1], [8, 2], [12, 1]], 19/143327232], [[[1, 4], [2, 1], [3, 3], [6, 1], [9, 1], [18, 1]], 106159/90699264], [[[1, 4], [2, 1], [3, 3], [6, 1], [10, 1], [12, 2]], 11/53747712], [[[1, 4], [2, 1], [3, 3], [6, 1], [10, 1], [15, 1]], 1/27993600], [[[1, 4], [2, 1], [3, 3], [6, 1], [10, 1], [20, 1]], 1/18662400], [[[1, 4], [2, 1], [3, 3], [6, 1], [10, 1], [24, 1]], 1/22394880], [[[1, 4], [2, 1], [3, 3], [6, 1], [10, 1], [30, 1]], 1/27993600], [[[1, 4], [2, 1], [3, 3], [6, 1], [10, 2], [12, 1]], 19/447897600], [[[1, 4], [2, 1], [3, 3], [6, 1], [12, 1], [15, 1]], 19/22394880], [[[1, 4], [2, 1], [3, 3], [6, 1], [12, 1], [20, 1]], 19/14929920], [[[1, 4], [2, 1], [3, 3], [6, 1], [12, 1], [24, 1]], 19/17915904], [[[1, 4], [2, 1], [3, 3], [6, 1], [12, 1], [30, 1]], 19/22394880], [[[1, 4], [2, 1], [3, 3], [6, 1], [14, 1], [18, 1]], 1/23514624], [[[1, 4], [2, 1], [3, 3], [6, 2], [7, 1], [8, 1]], 1/4644864], [[[1, 4], [2, 1], [3, 3], [6, 2], [7, 1], [12, 1]], 95/125411328], [[[1, 4], [2, 1], [3, 3], [6, 2], [8, 1], [9, 1]], 7/23887872], [[[1, 4], [2, 1], [3, 3], [6, 2], [8, 1], [18, 1]], 1/40310784], [[[1, 4], [2, 1], [3, 3], [6, 2], [9, 1], [12, 1]], 427/483729408], [[[1, 4], [2, 1], [3, 3], [6, 2], [10, 1], [18, 1]], 1/50388480], [[[1, 4], [2, 1], [3, 3], [6, 2], [12, 1], [14, 1]], 19/125411328], [[[1, 4], [2, 1], [3, 3], [6, 2], [12, 1], [18, 1]], 95/161243136], [[[1, 4], [2, 1], [3, 3], [6, 3], [8, 1], [12, 1]], 19/214990848], [[[1, 4], [2, 1], [3, 3], [6, 3], [10, 1], [12, 1]], 19/268738560], [[[1, 4], [2, 1], [3, 3], [7, 1], [8, 1], [12, 1]], 1/774144], [[[1, 4], [2, 1], [3, 3], [8, 1], [9, 1], [12, 1]], 7/3981312], [[[1, 4], [2, 1], [3, 4], [4, 1], [5, 1], [6, 3]], 5/2985984], [[[1, 4], [2, 1], [3, 4], [4, 1], [5, 1], [7, 1]], 1/348364800], [[[1, 4], [2, 1], [3, 4], [4, 1], [5, 1], [9, 1]], 41/1343692800], [[[1, 4], [2, 1], [3, 4], [4, 1], [5, 2], [6, 1]], 161/107495424000], [[[1, 4], [2, 1], [3, 4], [4, 1], [6, 1], [8, 2]], 179/34398535680], [[[1, 4], [2, 1], [3, 4], [4, 1], [6, 1], [10, 2]], 161/107495424000], [[[1, 4], [2, 1], [3, 4], [4, 1], [6, 1], [12, 2]], 14831/51597803520], [[[1, 4], [2, 1], [3, 4], [4, 1], [6, 1], [15, 1]], 161/5374771200], [[[1, 4], [2, 1], [3, 4], [4, 1], [6, 1], [16, 1]], 1/1492992], [[[1, 4], [2, 1], [3, 4], [4, 1], [6, 1], [20, 1]], 161/3583180800], [[[1, 4], [2, 1], [3, 4], [4, 1], [6, 1], [24, 1]], 3041/4299816960], [[[1, 4], [2, 1], [3, 4], [4, 1], [6, 1], [30, 1]], 161/5374771200], [[[1, 4], [2, 1], [3, 4], [4, 1], [6, 2], [9, 1]], 1/35831808], [[[1, 4], [2, 1], [3, 4], [4, 1], [6, 2], [18, 1]], 161/9674588160], [[[1, 4], [2, 1], [3, 4], [4, 1], [6, 3], [8, 1]], 811/103195607040], [[[1, 4], [2, 1], [3, 4], [4, 1], [6, 3], [12, 1]], 37691/51597803520], [[[1, 4], [2, 1], [3, 4], [4, 1], [7, 1], [8, 1]], 1/92897280], [[[1, 4], [2, 1], [3, 4], [4, 1], [7, 1], [10, 1]], 1/348364800], [[[1, 4], [2, 1], [3, 4], [4, 1], [7, 1], [12, 1]], 1/209018880], [[[1, 4], [2, 1], [3, 4], [4, 1], [8, 1], [9, 1]], 287/2149908480], [[[1, 4], [2, 1], [3, 4], [4, 1], [8, 1], [14, 1]], 1/1114767360], [[[1, 4], [2, 1], [3, 4], [4, 1], [8, 1], [18, 1]], 1/1433272320], [[[1, 4], [2, 1], [3, 4], [4, 1], [9, 1], [10, 1]], 41/1343692800], [[[1, 4], [2, 1], [3, 4], [4, 1], [9, 1], [12, 1]], 11/50388480], [[[1, 4], [2, 1], [3, 4], [4, 2], [5, 1], [6, 2]], 1/59719680], [[[1, 4], [2, 1], [3, 4], [4, 2], [5, 1], [8, 1]], 1/1592524800], [[[1, 4], [2, 1], [3, 4], [4, 2], [5, 1], [12, 1]], 4711/26873856000], [[[1, 4], [2, 1], [3, 4], [4, 2], [6, 1], [9, 1]], 1/17915904], [[[1, 4], [2, 1], [3, 4], [4, 2], [6, 1], [18, 1]], 2573/309586821120], [[[1, 4], [2, 1], [3, 4], [4, 2], [6, 2], [8, 1]], 1/95551488], [[[1, 4], [2, 1], [3, 4], [4, 2], [6, 2], [12, 1]], 4109789/4953389137920], [[[1, 4], [2, 1], [3, 4], [4, 2], [8, 1], [10, 1]], 1/1592524800], [[[1, 4], [2, 1], [3, 4], [4, 2], [8, 1], [12, 1]], 71/859963392], [[[1, 4], [2, 1], [3, 4], [4, 3], [6, 1], [8, 1]], 1/17915904], [[[1, 4], [2, 1], [3, 4], [4, 3], [6, 1], [12, 1]], 3581/12899450880], [[[1, 4], [2, 1], [3, 4], [5, 1], [6, 1], [9, 1]], 1/1866240], [[[1, 4], [2, 1], [3, 4], [5, 1], [6, 1], [18, 1]], 2011/20155392000], [[[1, 4], [2, 1], [3, 4], [5, 1], [6, 2], [8, 1]], 1/9953280], [[[1, 4], [2, 1], [3, 4], [5, 1], [6, 2], [12, 1]], 39001/107495424000], [[[1, 4], [2, 1], [3, 4], [5, 1], [8, 1], [12, 1]], 1/1658880], [[[1, 4], [2, 1], [3, 4], [6, 1], [7, 1], [8, 1]], 1/418037760], [[[1, 4], [2, 1], [3, 4], [6, 1], [7, 1], [10, 1]], 1/522547200], [[[1, 4], [2, 1], [3, 4], [6, 1], [7, 1], [12, 1]], 13/59719680], [[[1, 4], [2, 1], [3, 4], [6, 1], [8, 1], [9, 1]], 41/1612431360], [[[1, 4], [2, 1], [3, 4], [6, 1], [8, 1], [18, 1]], 161/6449725440], [[[1, 4], [2, 1], [3, 4], [6, 1], [9, 1], [10, 1]], 41/2015539200], [[[1, 4], [2, 1], [3, 4], [6, 1], [9, 1], [12, 1]], 851/1612431360], [[[1, 4], [2, 1], [3, 4], [6, 1], [12, 1], [18, 1]], 35/241864704], [[[1, 4], [2, 1], [3, 4], [6, 2], [8, 1], [12, 1]], 3131/34398535680], [[[1, 4], [2, 1], [3, 5], [4, 1], [5, 1], [6, 2]], 11/10749542400], [[[1, 4], [2, 1], [3, 5], [4, 1], [5, 1], [8, 1]], 1/199065600], [[[1, 4], [2, 1], [3, 5], [4, 1], [5, 1], [10, 1]], 1/746496000], [[[1, 4], [2, 1], [3, 5], [4, 1], [5, 1], [12, 1]], 1/119439360], [[[1, 4], [2, 1], [3, 5], [4, 1], [6, 1], [7, 1]], 1/627056640], [[[1, 4], [2, 1], [3, 5], [4, 1], [6, 1], [9, 1]], 11/644972544], [[[1, 4], [2, 1], [3, 5], [4, 1], [6, 1], [18, 1]], 1/3224862720], [[[1, 4], [2, 1], [3, 5], [4, 1], [6, 2], [8, 1]], 77/17199267840], [[[1, 4], [2, 1], [3, 5], [4, 1], [6, 2], [10, 1]], 11/10749542400], [[[1, 4], [2, 1], [3, 5], [4, 1], [6, 2], [12, 1]], 6121/51597803520], [[[1, 4], [2, 1], [3, 5], [4, 1], [8, 1], [12, 1]], 77/2866544640], [[[1, 4], [2, 1], [3, 5], [4, 1], [10, 1], [12, 1]], 11/1791590400], [[[1, 4], [2, 1], [3, 5], [4, 2], [6, 1], [8, 1]], 1/2149908480], [[[1, 4], [2, 1], [3, 5], [4, 2], [6, 1], [10, 1]], 1/10749542400], [[[1, 4], [2, 1], [3, 5], [4, 2], [6, 1], [12, 1]], 361/25798901760], [[[1, 4], [2, 1], [3, 5], [5, 1], [6, 1], [8, 1]], 1/895795200], [[[1, 4], [2, 1], [3, 5], [5, 1], [6, 1], [10, 1]], 1/1119744000], [[[1, 4], [2, 1], [3, 5], [5, 1], [6, 1], [12, 1]], 91/895795200], [[[1, 4], [2, 1], [3, 5], [6, 1], [8, 1], [12, 1]], 11/2149908480], [[[1, 4], [2, 1], [3, 5], [6, 1], [10, 1], [12, 1]], 11/2687385600], [[[1, 4], [2, 1], [3, 6], [4, 1], [5, 1], [6, 1]], 1/1343692800], [[[1, 4], [2, 1], [3, 6], [4, 1], [6, 1], [8, 1]], 1/11466178560], [[[1, 4], [2, 1], [3, 6], [4, 1], [6, 1], [12, 1]], 59/17199267840], [[[1, 4], [2, 1], [4, 1], [5, 1], [6, 4], [7, 1]], 1/348364800], [[[1, 4], [2, 1], [4, 1], [5, 1], [6, 4], [9, 1]], 1/1343692800], [[[1, 4], [2, 1], [4, 1], [5, 1], [7, 1], [8, 2]], 1/430080], [[[1, 4], [2, 1], [4, 1], [5, 1], [7, 1], [10, 2]], 1/1344000], [[[1, 4], [2, 1], [4, 1], [5, 1], [7, 1], [12, 2]], 1/645120], [[[1, 4], [2, 1], [4, 1], [5, 1], [7, 1], [15, 1]], 1/67200], [[[1, 4], [2, 1], [4, 1], [5, 1], [7, 1], [20, 1]], 1/44800], [[[1, 4], [2, 1], [4, 1], [5, 1], [7, 1], [24, 1]], 1/53760], [[[1, 4], [2, 1], [4, 1], [5, 1], [7, 1], [30, 1]], 1/67200], [[[1, 4], [2, 1], [4, 1], [5, 1], [8, 2], [9, 1]], 1/1658880], [[[1, 4], [2, 1], [4, 1], [5, 1], [9, 1], [10, 2]], 1/5184000], [[[1, 4], [2, 1], [4, 1], [5, 1], [9, 1], [12, 2]], 1/2488320], [[[1, 4], [2, 1], [4, 1], [5, 1], [9, 1], [15, 1]], 1/259200], [[[1, 4], [2, 1], [4, 1], [5, 1], [9, 1], [20, 1]], 1/172800], [[[1, 4], [2, 1], [4, 1], [5, 1], [9, 1], [24, 1]], 1/207360], [[[1, 4], [2, 1], [4, 1], [5, 1], [9, 1], [30, 1]], 1/259200], [[[1, 4], [2, 1], [4, 1], [5, 2], [6, 1], [8, 2]], 19/132710400], [[[1, 4], [2, 1], [4, 1], [5, 2], [6, 1], [10, 2]], 301/414720000], [[[1, 4], [2, 1], [4, 1], [5, 2], [6, 1], [12, 2]], 1/199065600], [[[1, 4], [2, 1], [4, 1], [5, 2], [6, 1], [15, 1]], 1/20736000], [[[1, 4], [2, 1], [4, 1], [5, 2], [6, 1], [20, 1]], 1/13824000], [[[1, 4], [2, 1], [4, 1], [5, 2], [6, 1], [24, 1]], 1/16588800], [[[1, 4], [2, 1], [4, 1], [5, 2], [6, 1], [30, 1]], 1/20736000], [[[1, 4], [2, 1], [4, 1], [5, 2], [6, 2], [18, 1]], 1/37324800], [[[1, 4], [2, 1], [4, 1], [5, 2], [6, 3], [8, 1]], 1/398131200], [[[1, 4], [2, 1], [4, 1], [5, 2], [6, 3], [12, 1]], 1/199065600], [[[1, 4], [2, 1], [4, 1], [5, 2], [7, 1], [8, 1]], 1/358400], [[[1, 4], [2, 1], [4, 1], [5, 2], [7, 1], [10, 1]], 1/1344000], [[[1, 4], [2, 1], [4, 1], [5, 2], [7, 1], [12, 1]], 1/806400], [[[1, 4], [2, 1], [4, 1], [5, 2], [8, 1], [9, 1]], 7/8294400], [[[1, 4], [2, 1], [4, 1], [5, 2], [8, 1], [14, 1]], 1/4300800], [[[1, 4], [2, 1], [4, 1], [5, 2], [8, 1], [18, 1]], 1/5529600], [[[1, 4], [2, 1], [4, 1], [5, 2], [9, 1], [10, 1]], 1/5184000], [[[1, 4], [2, 1], [4, 1], [5, 2], [9, 1], [12, 1]], 1/3110400], [[[1, 4], [2, 1], [4, 1], [6, 1], [8, 1], [10, 3]], 1/9216000], [[[1, 4], [2, 1], [4, 1], [6, 1], [8, 1], [12, 3]], 1/3538944], [[[1, 4], [2, 1], [4, 1], [6, 1], [8, 1], [18, 2]], 1/497664], [[[1, 4], [2, 1], [4, 1], [6, 1], [8, 2], [10, 2]], 19/132710400], [[[1, 4], [2, 1], [4, 1], [6, 1], [8, 2], [12, 2]], 19/63700992], [[[1, 4], [2, 1], [4, 1], [6, 1], [8, 2], [15, 1]], 19/6635520], [[[1, 4], [2, 1], [4, 1], [6, 1], [8, 2], [20, 1]], 19/4423680], [[[1, 4], [2, 1], [4, 1], [6, 1], [8, 2], [24, 1]], 17/1769472], [[[1, 4], [2, 1], [4, 1], [6, 1], [8, 2], [30, 1]], 19/6635520], [[[1, 4], [2, 1], [4, 1], [6, 1], [8, 3], [10, 1]], 1/2949120], [[[1, 4], [2, 1], [4, 1], [6, 1], [8, 3], [12, 1]], 1/2359296], [[[1, 4], [2, 1], [4, 1], [6, 1], [10, 2], [12, 2]], 1/199065600], [[[1, 4], [2, 1], [4, 1], [6, 1], [10, 2], [15, 1]], 1/20736000], [[[1, 4], [2, 1], [4, 1], [6, 1], [10, 2], [20, 1]], 1/13824000], [[[1, 4], [2, 1], [4, 1], [6, 1], [10, 2], [24, 1]], 1/16588800], [[[1, 4], [2, 1], [4, 1], [6, 1], [10, 2], [30, 1]], 1/20736000], [[[1, 4], [2, 1], [4, 1], [6, 1], [12, 1], [36, 1]], 1/124416], [[[1, 4], [2, 1], [4, 1], [6, 1], [12, 2], [15, 1]], 1/9953280], [[[1, 4], [2, 1], [4, 1], [6, 1], [12, 2], [20, 1]], 1/6635520], [[[1, 4], [2, 1], [4, 1], [6, 1], [12, 2], [24, 1]], 13/7962624], [[[1, 4], [2, 1], [4, 1], [6, 1], [12, 2], [30, 1]], 1/9953280], [[[1, 4], [2, 1], [4, 1], [6, 1], [15, 1], [20, 1]], 1/691200], [[[1, 4], [2, 1], [4, 1], [6, 1], [15, 1], [24, 1]], 1/829440], [[[1, 4], [2, 1], [4, 1], [6, 1], [15, 1], [30, 1]], 1/64800], [[[1, 4], [2, 1], [4, 1], [6, 1], [20, 1], [24, 1]], 1/552960], [[[1, 4], [2, 1], [4, 1], [6, 1], [20, 1], [30, 1]], 1/691200], [[[1, 4], [2, 1], [4, 1], [6, 1], [24, 1], [30, 1]], 1/829440], [[[1, 4], [2, 1], [4, 1], [6, 2], [7, 1], [12, 2]], 1/387072], [[[1, 4], [2, 1], [4, 1], [6, 2], [8, 2], [18, 1]], 19/11943936], [[[1, 4], [2, 1], [4, 1], [6, 2], [9, 1], [12, 2]], 1/1492992], [[[1, 4], [2, 1], [4, 1], [6, 2], [10, 2], [18, 1]], 1/37324800], [[[1, 4], [2, 1], [4, 1], [6, 2], [12, 2], [18, 1]], 1/17915904], [[[1, 4], [2, 1], [4, 1], [6, 2], [15, 1], [18, 1]], 1/1866240], [[[1, 4], [2, 1], [4, 1], [6, 2], [18, 1], [20, 1]], 1/1244160], [[[1, 4], [2, 1], [4, 1], [6, 2], [18, 1], [24, 1]], 1/1492992], [[[1, 4], [2, 1], [4, 1], [6, 2], [18, 1], [30, 1]], 1/1866240], [[[1, 4], [2, 1], [4, 1], [6, 3], [8, 1], [10, 2]], 1/398131200], [[[1, 4], [2, 1], [4, 1], [6, 3], [8, 1], [12, 2]], 55/191102976], [[[1, 4], [2, 1], [4, 1], [6, 3], [8, 1], [15, 1]], 1/19906560], [[[1, 4], [2, 1], [4, 1], [6, 3], [8, 1], [20, 1]], 1/13271040], [[[1, 4], [2, 1], [4, 1], [6, 3], [8, 1], [24, 1]], 1/15925248], [[[1, 4], [2, 1], [4, 1], [6, 3], [8, 1], [30, 1]], 1/19906560], [[[1, 4], [2, 1], [4, 1], [6, 3], [8, 2], [12, 1]], 19/63700992], [[[1, 4], [2, 1], [4, 1], [6, 3], [10, 2], [12, 1]], 1/199065600], [[[1, 4], [2, 1], [4, 1], [6, 3], [12, 1], [15, 1]], 1/9953280], [[[1, 4], [2, 1], [4, 1], [6, 3], [12, 1], [20, 1]], 1/6635520], [[[1, 4], [2, 1], [4, 1], [6, 3], [12, 1], [24, 1]], 1/7962624], [[[1, 4], [2, 1], [4, 1], [6, 3], [12, 1], [30, 1]], 1/9953280], [[[1, 4], [2, 1], [4, 1], [6, 4], [7, 1], [8, 1]], 1/92897280], [[[1, 4], [2, 1], [4, 1], [6, 4], [7, 1], [10, 1]], 1/348364800], [[[1, 4], [2, 1], [4, 1], [6, 4], [7, 1], [12, 1]], 1/209018880], [[[1, 4], [2, 1], [4, 1], [6, 4], [8, 1], [9, 1]], 7/2149908480], [[[1, 4], [2, 1], [4, 1], [6, 4], [8, 1], [14, 1]], 1/1114767360], [[[1, 4], [2, 1], [4, 1], [6, 4], [8, 1], [18, 1]], 41/1433272320], [[[1, 4], [2, 1], [4, 1], [6, 4], [9, 1], [10, 1]], 1/1343692800], [[[1, 4], [2, 1], [4, 1], [6, 4], [9, 1], [12, 1]], 1/806215680], [[[1, 4], [2, 1], [4, 1], [6, 4], [12, 1], [18, 1]], 1/17915904], [[[1, 4], [2, 1], [4, 1], [6, 5], [8, 1], [10, 1]], 1/2388787200], [[[1, 4], [2, 1], [4, 1], [6, 5], [8, 1], [12, 1]], 11/1911029760], [[[1, 4], [2, 1], [4, 1], [7, 1], [8, 1], [10, 2]], 1/358400], [[[1, 4], [2, 1], [4, 1], [7, 1], [8, 1], [12, 2]], 1/172032], [[[1, 4], [2, 1], [4, 1], [7, 1], [8, 1], [15, 1]], 1/17920], [[[1, 4], [2, 1], [4, 1], [7, 1], [8, 1], [16, 1]], 5/7168], [[[1, 4], [2, 1], [4, 1], [7, 1], [8, 1], [20, 1]], 11/35840], [[[1, 4], [2, 1], [4, 1], [7, 1], [8, 1], [24, 1]], 19/43008], [[[1, 4], [2, 1], [4, 1], [7, 1], [8, 1], [30, 1]], 1/17920], [[[1, 4], [2, 1], [4, 1], [7, 1], [8, 2], [10, 1]], 1/430080], [[[1, 4], [2, 1], [4, 1], [7, 1], [8, 2], [12, 1]], 1/258048], [[[1, 4], [2, 1], [4, 1], [7, 1], [9, 1], [14, 1]], 1/12096], [[[1, 4], [2, 1], [4, 1], [7, 1], [9, 1], [18, 1]], 1/4032], [[[1, 4], [2, 1], [4, 1], [7, 1], [10, 1], [12, 2]], 1/645120], [[[1, 4], [2, 1], [4, 1], [7, 1], [10, 1], [15, 1]], 1/67200], [[[1, 4], [2, 1], [4, 1], [7, 1], [10, 1], [20, 1]], 1/44800], [[[1, 4], [2, 1], [4, 1], [7, 1], [10, 1], [24, 1]], 1/53760], [[[1, 4], [2, 1], [4, 1], [7, 1], [10, 1], [30, 1]], 1/67200], [[[1, 4], [2, 1], [4, 1], [7, 1], [10, 2], [12, 1]], 1/806400], [[[1, 4], [2, 1], [4, 1], [7, 1], [12, 1], [15, 1]], 1/40320], [[[1, 4], [2, 1], [4, 1], [7, 1], [12, 1], [16, 1]], 1/5376], [[[1, 4], [2, 1], [4, 1], [7, 1], [12, 1], [20, 1]], 1/5376], [[[1, 4], [2, 1], [4, 1], [7, 1], [12, 1], [24, 1]], 1/4608], [[[1, 4], [2, 1], [4, 1], [7, 1], [12, 1], [30, 1]], 1/40320], [[[1, 4], [2, 1], [4, 1], [8, 1], [9, 1], [10, 2]], 7/8294400], [[[1, 4], [2, 1], [4, 1], [8, 1], [9, 1], [12, 2]], 7/3981312], [[[1, 4], [2, 1], [4, 1], [8, 1], [9, 1], [15, 1]], 7/414720], [[[1, 4], [2, 1], [4, 1], [8, 1], [9, 1], [16, 1]], 5/27648], [[[1, 4], [2, 1], [4, 1], [8, 1], [9, 1], [20, 1]], 23/276480], [[[1, 4], [2, 1], [4, 1], [8, 1], [9, 1], [24, 1]], 13/110592], [[[1, 4], [2, 1], [4, 1], [8, 1], [9, 1], [30, 1]], 7/414720], [[[1, 4], [2, 1], [4, 1], [8, 1], [10, 2], [14, 1]], 1/4300800], [[[1, 4], [2, 1], [4, 1], [8, 1], [10, 2], [18, 1]], 1/5529600], [[[1, 4], [2, 1], [4, 1], [8, 1], [12, 2], [14, 1]], 1/2064384], [[[1, 4], [2, 1], [4, 1], [8, 1], [12, 2], [18, 1]], 1/2654208], [[[1, 4], [2, 1], [4, 1], [8, 1], [14, 1], [15, 1]], 1/215040], [[[1, 4], [2, 1], [4, 1], [8, 1], [14, 1], [20, 1]], 1/143360], [[[1, 4], [2, 1], [4, 1], [8, 1], [14, 1], [24, 1]], 1/172032], [[[1, 4], [2, 1], [4, 1], [8, 1], [14, 1], [30, 1]], 1/215040], [[[1, 4], [2, 1], [4, 1], [8, 1], [15, 1], [18, 1]], 1/276480], [[[1, 4], [2, 1], [4, 1], [8, 1], [18, 1], [20, 1]], 1/184320], [[[1, 4], [2, 1], [4, 1], [8, 1], [18, 1], [24, 1]], 1/221184], [[[1, 4], [2, 1], [4, 1], [8, 1], [18, 1], [30, 1]], 1/276480], [[[1, 4], [2, 1], [4, 1], [8, 2], [9, 1], [10, 1]], 1/1658880], [[[1, 4], [2, 1], [4, 1], [8, 2], [9, 1], [12, 1]], 1/995328], [[[1, 4], [2, 1], [4, 1], [9, 1], [10, 1], [12, 2]], 1/2488320], [[[1, 4], [2, 1], [4, 1], [9, 1], [10, 1], [15, 1]], 1/259200], [[[1, 4], [2, 1], [4, 1], [9, 1], [10, 1], [20, 1]], 1/172800], [[[1, 4], [2, 1], [4, 1], [9, 1], [10, 1], [24, 1]], 1/207360], [[[1, 4], [2, 1], [4, 1], [9, 1], [10, 1], [30, 1]], 1/259200], [[[1, 4], [2, 1], [4, 1], [9, 1], [10, 2], [12, 1]], 1/3110400], [[[1, 4], [2, 1], [4, 1], [9, 1], [12, 1], [15, 1]], 1/155520], [[[1, 4], [2, 1], [4, 1], [9, 1], [12, 1], [16, 1]], 1/20736], [[[1, 4], [2, 1], [4, 1], [9, 1], [12, 1], [20, 1]], 1/20736], [[[1, 4], [2, 1], [4, 1], [9, 1], [12, 1], [24, 1]], 7/124416], [[[1, 4], [2, 1], [4, 1], [9, 1], [12, 1], [30, 1]], 1/155520], [[[1, 4], [2, 1], [4, 2], [5, 1], [6, 2], [12, 2]], 11/49766400], [[[1, 4], [2, 1], [4, 2], [5, 1], [6, 4], [8, 1]], 1/1592524800], [[[1, 4], [2, 1], [4, 2], [5, 1], [6, 4], [12, 1]], 11/26873856000], [[[1, 4], [2, 1], [4, 2], [5, 1], [8, 1], [10, 2]], 1/6144000], [[[1, 4], [2, 1], [4, 2], [5, 1], [8, 1], [12, 2]], 1/2949120], [[[1, 4], [2, 1], [4, 2], [5, 1], [8, 1], [15, 1]], 1/307200], [[[1, 4], [2, 1], [4, 2], [5, 1], [8, 1], [16, 1]], 11/614400], [[[1, 4], [2, 1], [4, 2], [5, 1], [8, 1], [20, 1]], 1/204800], [[[1, 4], [2, 1], [4, 2], [5, 1], [8, 1], [24, 1]], 1/245760], [[[1, 4], [2, 1], [4, 2], [5, 1], [8, 1], [30, 1]], 1/307200], [[[1, 4], [2, 1], [4, 2], [5, 1], [8, 2], [10, 1]], 1/20480], [[[1, 4], [2, 1], [4, 2], [5, 1], [8, 2], [12, 1]], 143/33177600], [[[1, 4], [2, 1], [4, 2], [5, 1], [10, 2], [12, 1]], 11/103680000], [[[1, 4], [2, 1], [4, 2], [5, 1], [12, 1], [15, 1]], 11/5184000], [[[1, 4], [2, 1], [4, 2], [5, 1], [12, 1], [20, 1]], 143/3456000], [[[1, 4], [2, 1], [4, 2], [5, 1], [12, 1], [24, 1]], 77/4147200], [[[1, 4], [2, 1], [4, 2], [5, 1], [12, 1], [30, 1]], 11/5184000], [[[1, 4], [2, 1], [4, 2], [5, 2], [6, 1], [18, 1]], 13/1194393600], [[[1, 4], [2, 1], [4, 2], [5, 2], [6, 2], [12, 1]], 13/6370099200], [[[1, 4], [2, 1], [4, 2], [5, 2], [8, 1], [10, 1]], 1/6144000], [[[1, 4], [2, 1], [4, 2], [5, 2], [8, 1], [12, 1]], 1/3317760], [[[1, 4], [2, 1], [4, 2], [6, 1], [7, 1], [12, 2]], 1/193536], [[[1, 4], [2, 1], [4, 2], [6, 1], [8, 2], [18, 1]], 2281/382205952], [[[1, 4], [2, 1], [4, 2], [6, 1], [9, 1], [12, 2]], 1/746496], [[[1, 4], [2, 1], [4, 2], [6, 1], [10, 2], [18, 1]], 13/1194393600], [[[1, 4], [2, 1], [4, 2], [6, 1], [12, 2], [18, 1]], 13/573308928], [[[1, 4], [2, 1], [4, 2], [6, 1], [15, 1], [18, 1]], 13/59719680], [[[1, 4], [2, 1], [4, 2], [6, 1], [18, 1], [20, 1]], 13/39813120], [[[1, 4], [2, 1], [4, 2], [6, 1], [18, 1], [24, 1]], 13/47775744], [[[1, 4], [2, 1], [4, 2], [6, 1], [18, 1], [30, 1]], 13/59719680], [[[1, 4], [2, 1], [4, 2], [6, 2], [8, 1], [12, 2]], 5/7962624], [[[1, 4], [2, 1], [4, 2], [6, 2], [8, 2], [12, 1]], 2281/2038431744], [[[1, 4], [2, 1], [4, 2], [6, 2], [10, 2], [12, 1]], 13/6370099200], [[[1, 4], [2, 1], [4, 2], [6, 2], [12, 1], [15, 1]], 13/318504960], [[[1, 4], [2, 1], [4, 2], [6, 2], [12, 1], [20, 1]], 13/212336640], [[[1, 4], [2, 1], [4, 2], [6, 2], [12, 1], [24, 1]], 13/254803968], [[[1, 4], [2, 1], [4, 2], [6, 2], [12, 1], [30, 1]], 13/318504960], [[[1, 4], [2, 1], [4, 2], [6, 3], [7, 1], [12, 1]], 1/10450944], [[[1, 4], [2, 1], [4, 2], [6, 3], [9, 1], [12, 1]], 1/40310784], [[[1, 4], [2, 1], [4, 2], [6, 3], [12, 1], [18, 1]], 13/573308928], [[[1, 4], [2, 1], [4, 2], [6, 4], [8, 1], [10, 1]], 1/1592524800], [[[1, 4], [2, 1], [4, 2], [6, 4], [8, 1], [12, 1]], 1/859963392], [[[1, 4], [2, 1], [4, 2], [7, 1], [8, 1], [14, 1]], 1/14336], [[[1, 4], [2, 1], [4, 2], [7, 1], [9, 1], [12, 1]], 5/435456], [[[1, 4], [2, 1], [4, 2], [7, 1], [12, 1], [14, 1]], 1/112896], [[[1, 4], [2, 1], [4, 2], [7, 1], [12, 1], [18, 1]], 1/145152], [[[1, 4], [2, 1], [4, 2], [8, 1], [9, 1], [18, 1]], 1/18432], [[[1, 4], [2, 1], [4, 2], [8, 1], [10, 1], [12, 2]], 1/2949120], [[[1, 4], [2, 1], [4, 2], [8, 1], [10, 1], [15, 1]], 1/307200], [[[1, 4], [2, 1], [4, 2], [8, 1], [10, 1], [20, 1]], 1/204800], [[[1, 4], [2, 1], [4, 2], [8, 1], [10, 1], [24, 1]], 1/245760], [[[1, 4], [2, 1], [4, 2], [8, 1], [10, 1], [30, 1]], 1/307200], [[[1, 4], [2, 1], [4, 2], [8, 1], [10, 2], [12, 1]], 1/3317760], [[[1, 4], [2, 1], [4, 2], [8, 1], [12, 1], [15, 1]], 1/165888], [[[1, 4], [2, 1], [4, 2], [8, 1], [12, 1], [16, 1]], 1/24576], [[[1, 4], [2, 1], [4, 2], [8, 1], [12, 1], [20, 1]], 29/552960], [[[1, 4], [2, 1], [4, 2], [8, 1], [12, 1], [24, 1]], 35/663552], [[[1, 4], [2, 1], [4, 2], [8, 1], [12, 1], [30, 1]], 1/165888], [[[1, 4], [2, 1], [4, 2], [9, 1], [12, 1], [14, 1]], 1/435456], [[[1, 4], [2, 1], [4, 2], [9, 1], [12, 1], [18, 1]], 1/559872], [[[1, 4], [2, 1], [4, 3], [5, 1], [7, 1], [12, 1]], 1/161280], [[[1, 4], [2, 1], [4, 3], [5, 1], [9, 1], [12, 1]], 1/622080], [[[1, 4], [2, 1], [4, 3], [5, 2], [6, 1], [12, 1]], 1/49766400], [[[1, 4], [2, 1], [4, 3], [6, 1], [7, 1], [18, 1]], 1/2322432], [[[1, 4], [2, 1], [4, 3], [6, 1], [8, 1], [12, 2]], 1/884736], [[[1, 4], [2, 1], [4, 3], [6, 1], [8, 1], [16, 1]], 1/294912], [[[1, 4], [2, 1], [4, 3], [6, 1], [8, 2], [12, 1]], 31/15925248], [[[1, 4], [2, 1], [4, 3], [6, 1], [9, 1], [18, 1]], 1/8957952], [[[1, 4], [2, 1], [4, 3], [6, 1], [10, 2], [12, 1]], 1/49766400], [[[1, 4], [2, 1], [4, 3], [6, 1], [12, 1], [15, 1]], 1/2488320], [[[1, 4], [2, 1], [4, 3], [6, 1], [12, 1], [20, 1]], 13/1658880], [[[1, 4], [2, 1], [4, 3], [6, 1], [12, 1], [24, 1]], 7/1990656], [[[1, 4], [2, 1], [4, 3], [6, 1], [12, 1], [30, 1]], 1/2488320], [[[1, 4], [2, 1], [4, 3], [6, 2], [7, 1], [12, 1]], 1/12386304], [[[1, 4], [2, 1], [4, 3], [6, 2], [9, 1], [12, 1]], 1/47775744], [[[1, 4], [2, 1], [4, 3], [6, 2], [12, 1], [18, 1]], 1/4478976], [[[1, 4], [2, 1], [4, 3], [6, 3], [8, 1], [12, 1]], 1/47775744], [[[1, 4], [2, 1], [4, 3], [7, 1], [8, 1], [12, 1]], 1/14336], [[[1, 4], [2, 1], [4, 3], [7, 1], [10, 1], [12, 1]], 1/161280], [[[1, 4], [2, 1], [4, 3], [8, 1], [9, 1], [12, 1]], 19/995328], [[[1, 4], [2, 1], [4, 3], [8, 1], [12, 1], [14, 1]], 1/516096], [[[1, 4], [2, 1], [4, 3], [8, 1], [12, 1], [18, 1]], 1/663552], [[[1, 4], [2, 1], [4, 3], [9, 1], [10, 1], [12, 1]], 1/622080], [[[1, 4], [2, 1], [4, 4], [5, 1], [6, 1], [18, 1]], 11/5971968000], [[[1, 4], [2, 1], [4, 4], [5, 1], [6, 2], [12, 1]], 11/31850496000], [[[1, 4], [2, 1], [4, 4], [5, 1], [8, 1], [12, 1]], 1/737280], [[[1, 4], [2, 1], [4, 4], [6, 1], [7, 1], [8, 1]], 1/123863040], [[[1, 4], [2, 1], [4, 4], [6, 1], [7, 1], [10, 1]], 1/154828800], [[[1, 4], [2, 1], [4, 4], [6, 1], [7, 1], [12, 1]], 1/123863040], [[[1, 4], [2, 1], [4, 4], [6, 1], [8, 1], [9, 1]], 1/477757440], [[[1, 4], [2, 1], [4, 4], [6, 1], [8, 1], [18, 1]], 181/1911029760], [[[1, 4], [2, 1], [4, 4], [6, 1], [9, 1], [10, 1]], 1/597196800], [[[1, 4], [2, 1], [4, 4], [6, 1], [9, 1], [12, 1]], 1/477757440], [[[1, 4], [2, 1], [4, 4], [6, 1], [12, 1], [18, 1]], 13/143327232], [[[1, 4], [2, 1], [4, 4], [6, 2], [8, 1], [12, 1]], 181/10192158720], [[[1, 4], [2, 1], [4, 4], [8, 1], [10, 1], [12, 1]], 1/737280], [[[1, 4], [2, 1], [4, 5], [6, 1], [8, 1], [10, 1]], 1/707788800], [[[1, 4], [2, 1], [4, 5], [6, 1], [8, 1], [12, 1]], 1/566231040], [[[1, 4], [2, 1], [5, 1], [6, 1], [8, 2], [18, 1]], 11/24883200], [[[1, 4], [2, 1], [5, 1], [6, 1], [10, 2], [18, 1]], 11/77760000], [[[1, 4], [2, 1], [5, 1], [6, 1], [12, 2], [18, 1]], 11/37324800], [[[1, 4], [2, 1], [5, 1], [6, 1], [15, 1], [18, 1]], 11/3888000], [[[1, 4], [2, 1], [5, 1], [6, 1], [18, 1], [20, 1]], 11/2592000], [[[1, 4], [2, 1], [5, 1], [6, 1], [18, 1], [24, 1]], 11/3110400], [[[1, 4], [2, 1], [5, 1], [6, 1], [18, 1], [30, 1]], 11/3888000], [[[1, 4], [2, 1], [5, 1], [6, 2], [8, 2], [12, 1]], 11/132710400], [[[1, 4], [2, 1], [5, 1], [6, 2], [10, 2], [12, 1]], 11/414720000], [[[1, 4], [2, 1], [5, 1], [6, 2], [12, 1], [15, 1]], 11/20736000], [[[1, 4], [2, 1], [5, 1], [6, 2], [12, 1], [20, 1]], 11/13824000], [[[1, 4], [2, 1], [5, 1], [6, 2], [12, 1], [24, 1]], 11/16588800], [[[1, 4], [2, 1], [5, 1], [6, 2], [12, 1], [30, 1]], 11/20736000], [[[1, 4], [2, 1], [5, 1], [6, 3], [12, 1], [18, 1]], 11/37324800], [[[1, 4], [2, 1], [5, 2], [6, 1], [7, 1], [8, 1]], 1/1612800], [[[1, 4], [2, 1], [5, 2], [6, 1], [7, 1], [10, 1]], 1/2016000], [[[1, 4], [2, 1], [5, 2], [6, 1], [7, 1], [12, 1]], 1/1612800], [[[1, 4], [2, 1], [5, 2], [6, 1], [8, 1], [9, 1]], 1/6220800], [[[1, 4], [2, 1], [5, 2], [6, 1], [8, 1], [18, 1]], 1/24883200], [[[1, 4], [2, 1], [5, 2], [6, 1], [9, 1], [10, 1]], 1/7776000], [[[1, 4], [2, 1], [5, 2], [6, 1], [9, 1], [12, 1]], 1/6220800], [[[1, 4], [2, 1], [5, 2], [6, 2], [8, 1], [12, 1]], 1/132710400], [[[1, 4], [2, 1], [6, 1], [7, 1], [8, 1], [10, 2]], 1/1612800], [[[1, 4], [2, 1], [6, 1], [7, 1], [8, 1], [12, 2]], 1/774144], [[[1, 4], [2, 1], [6, 1], [7, 1], [8, 1], [15, 1]], 1/80640], [[[1, 4], [2, 1], [6, 1], [7, 1], [8, 1], [20, 1]], 1/53760], [[[1, 4], [2, 1], [6, 1], [7, 1], [8, 1], [24, 1]], 1/64512], [[[1, 4], [2, 1], [6, 1], [7, 1], [8, 1], [30, 1]], 1/80640], [[[1, 4], [2, 1], [6, 1], [7, 1], [8, 2], [10, 1]], 1/645120], [[[1, 4], [2, 1], [6, 1], [7, 1], [8, 2], [12, 1]], 1/516096], [[[1, 4], [2, 1], [6, 1], [7, 1], [9, 1], [18, 1]], 5/326592], [[[1, 4], [2, 1], [6, 1], [7, 1], [10, 1], [12, 2]], 1/967680], [[[1, 4], [2, 1], [6, 1], [7, 1], [10, 1], [15, 1]], 1/100800], [[[1, 4], [2, 1], [6, 1], [7, 1], [10, 1], [20, 1]], 1/67200], [[[1, 4], [2, 1], [6, 1], [7, 1], [10, 1], [24, 1]], 1/80640], [[[1, 4], [2, 1], [6, 1], [7, 1], [10, 1], [30, 1]], 1/100800], [[[1, 4], [2, 1], [6, 1], [7, 1], [10, 2], [12, 1]], 1/1612800], [[[1, 4], [2, 1], [6, 1], [7, 1], [12, 1], [15, 1]], 1/80640], [[[1, 4], [2, 1], [6, 1], [7, 1], [12, 1], [20, 1]], 1/53760], [[[1, 4], [2, 1], [6, 1], [7, 1], [12, 1], [24, 1]], 1/64512], [[[1, 4], [2, 1], [6, 1], [7, 1], [12, 1], [30, 1]], 1/80640], [[[1, 4], [2, 1], [6, 1], [7, 1], [14, 1], [18, 1]], 1/84672], [[[1, 4], [2, 1], [6, 1], [8, 1], [9, 1], [10, 2]], 1/6220800], [[[1, 4], [2, 1], [6, 1], [8, 1], [9, 1], [12, 2]], 1/2985984], [[[1, 4], [2, 1], [6, 1], [8, 1], [9, 1], [15, 1]], 1/311040], [[[1, 4], [2, 1], [6, 1], [8, 1], [9, 1], [20, 1]], 1/207360], [[[1, 4], [2, 1], [6, 1], [8, 1], [9, 1], [24, 1]], 1/248832], [[[1, 4], [2, 1], [6, 1], [8, 1], [9, 1], [30, 1]], 1/311040], [[[1, 4], [2, 1], [6, 1], [8, 1], [10, 2], [18, 1]], 1/24883200], [[[1, 4], [2, 1], [6, 1], [8, 1], [12, 2], [18, 1]], 1/11943936], [[[1, 4], [2, 1], [6, 1], [8, 1], [15, 1], [18, 1]], 1/1244160], [[[1, 4], [2, 1], [6, 1], [8, 1], [18, 1], [20, 1]], 1/829440], [[[1, 4], [2, 1], [6, 1], [8, 1], [18, 1], [24, 1]], 1/995328], [[[1, 4], [2, 1], [6, 1], [8, 1], [18, 1], [30, 1]], 1/1244160], [[[1, 4], [2, 1], [6, 1], [8, 2], [9, 1], [10, 1]], 1/2488320], [[[1, 4], [2, 1], [6, 1], [8, 2], [9, 1], [12, 1]], 1/1990656], [[[1, 4], [2, 1], [6, 1], [9, 1], [10, 1], [12, 2]], 1/3732480], [[[1, 4], [2, 1], [6, 1], [9, 1], [10, 1], [15, 1]], 1/388800], [[[1, 4], [2, 1], [6, 1], [9, 1], [10, 1], [20, 1]], 1/259200], [[[1, 4], [2, 1], [6, 1], [9, 1], [10, 1], [24, 1]], 1/311040], [[[1, 4], [2, 1], [6, 1], [9, 1], [10, 1], [30, 1]], 1/388800], [[[1, 4], [2, 1], [6, 1], [9, 1], [10, 2], [12, 1]], 1/6220800], [[[1, 4], [2, 1], [6, 1], [9, 1], [12, 1], [15, 1]], 1/311040], [[[1, 4], [2, 1], [6, 1], [9, 1], [12, 1], [20, 1]], 1/207360], [[[1, 4], [2, 1], [6, 1], [9, 1], [12, 1], [24, 1]], 1/248832], [[[1, 4], [2, 1], [6, 1], [9, 1], [12, 1], [30, 1]], 1/311040], [[[1, 4], [2, 1], [6, 1], [9, 1], [14, 1], [18, 1]], 1/326592], [[[1, 4], [2, 1], [6, 2], [7, 1], [8, 1], [18, 1]], 1/145152], [[[1, 4], [2, 1], [6, 2], [7, 1], [9, 1], [12, 1]], 5/1741824], [[[1, 4], [2, 1], [6, 2], [7, 1], [10, 1], [18, 1]], 1/181440], [[[1, 4], [2, 1], [6, 2], [7, 1], [12, 1], [14, 1]], 1/451584], [[[1, 4], [2, 1], [6, 2], [7, 1], [12, 1], [18, 1]], 5/580608], [[[1, 4], [2, 1], [6, 2], [8, 1], [9, 1], [18, 1]], 1/559872], [[[1, 4], [2, 1], [6, 2], [8, 1], [10, 2], [12, 1]], 1/132710400], [[[1, 4], [2, 1], [6, 2], [8, 1], [12, 1], [15, 1]], 1/6635520], [[[1, 4], [2, 1], [6, 2], [8, 1], [12, 1], [20, 1]], 1/4423680], [[[1, 4], [2, 1], [6, 2], [8, 1], [12, 1], [24, 1]], 1/5308416], [[[1, 4], [2, 1], [6, 2], [8, 1], [12, 1], [30, 1]], 1/6635520], [[[1, 4], [2, 1], [6, 2], [9, 1], [10, 1], [18, 1]], 1/699840], [[[1, 4], [2, 1], [6, 2], [9, 1], [12, 1], [14, 1]], 1/1741824], [[[1, 4], [2, 1], [6, 2], [9, 1], [12, 1], [18, 1]], 5/2239488], [[[1, 4], [2, 1], [6, 3], [7, 1], [8, 1], [12, 1]], 1/774144], [[[1, 4], [2, 1], [6, 3], [7, 1], [10, 1], [12, 1]], 1/967680], [[[1, 4], [2, 1], [6, 3], [8, 1], [9, 1], [12, 1]], 1/2985984], [[[1, 4], [2, 1], [6, 3], [8, 1], [12, 1], [18, 1]], 1/11943936], [[[1, 4], [2, 1], [6, 3], [9, 1], [10, 1], [12, 1]], 1/3732480], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 5]], 79/2687385600], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 2], [6, 3]], 127/447897600], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 2], [7, 1]], 1/43200], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 2], [9, 1]], 5633/298598400], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 2], [14, 1]], 37/1612800], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 2], [18, 1]], 173/12441600], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 3], [6, 1]], 7/5184000], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [7, 2]], 1/75264], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [8, 3]], 893/10616832], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [9, 2]], 5/559872], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [10, 3]], 1/864000], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [12, 3]], 457/11943936], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [14, 2]], 1/225792], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [18, 2]], 1/139968], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [28, 1]], 5/16128], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [36, 1]], 5/20736], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 3], [8, 2]], 113/17915904], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 3], [10, 2]], 203/89579520], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 3], [12, 2]], 3641/214990848], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 3], [15, 1]], 43/22394880], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 3], [16, 1]], 1/55296], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 3], [20, 1]], 43/14929920], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 3], [24, 1]], 367/17915904], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 3], [30, 1]], 43/22394880], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 4], [7, 1]], 71/313528320], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 4], [9, 1]], 12001/77396705280], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 4], [14, 1]], 41/418037760], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 4], [18, 1]], 737/644972544], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 5], [8, 1]], 463/2866544640], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 5], [10, 1]], 197/2687385600], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 5], [12, 1]], 2027/6449725440], [[[1, 4], [2, 3], [3, 1], [4, 1], [7, 1], [8, 2]], 103/1548288], [[[1, 4], [2, 3], [3, 1], [4, 1], [7, 1], [10, 2]], 1/1209600], [[[1, 4], [2, 3], [3, 1], [4, 1], [7, 1], [12, 2]], 11/290304], [[[1, 4], [2, 3], [3, 1], [4, 1], [7, 1], [15, 1]], 1/60480], [[[1, 4], [2, 3], [3, 1], [4, 1], [7, 1], [20, 1]], 1/40320], [[[1, 4], [2, 3], [3, 1], [4, 1], [7, 1], [24, 1]], 1/48384], [[[1, 4], [2, 3], [3, 1], [4, 1], [7, 1], [30, 1]], 1/60480], [[[1, 4], [2, 3], [3, 1], [4, 1], [8, 2], [9, 1]], 5021/95551488], [[[1, 4], [2, 3], [3, 1], [4, 1], [8, 2], [14, 1]], 19/516096], [[[1, 4], [2, 3], [3, 1], [4, 1], [8, 2], [18, 1]], 107/3981312], [[[1, 4], [2, 3], [3, 1], [4, 1], [9, 1], [10, 2]], 41/11943936], [[[1, 4], [2, 3], [3, 1], [4, 1], [9, 1], [12, 2]], 3041/143327232], [[[1, 4], [2, 3], [3, 1], [4, 1], [9, 1], [15, 1]], 161/14929920], [[[1, 4], [2, 3], [3, 1], [4, 1], [9, 1], [16, 1]], 1/82944], [[[1, 4], [2, 3], [3, 1], [4, 1], [9, 1], [20, 1]], 161/9953280], [[[1, 4], [2, 3], [3, 1], [4, 1], [9, 1], [24, 1]], 161/11943936], [[[1, 4], [2, 3], [3, 1], [4, 1], [9, 1], [30, 1]], 161/14929920], [[[1, 4], [2, 3], [3, 1], [4, 1], [10, 2], [14, 1]], 1/1612800], [[[1, 4], [2, 3], [3, 1], [4, 1], [10, 2], [18, 1]], 1/2488320], [[[1, 4], [2, 3], [3, 1], [4, 1], [12, 2], [14, 1]], 1/36864], [[[1, 4], [2, 3], [3, 1], [4, 1], [12, 2], [18, 1]], 109/5971968], [[[1, 4], [2, 3], [3, 1], [4, 1], [14, 1], [15, 1]], 1/80640], [[[1, 4], [2, 3], [3, 1], [4, 1], [14, 1], [20, 1]], 1/53760], [[[1, 4], [2, 3], [3, 1], [4, 1], [14, 1], [24, 1]], 1/64512], [[[1, 4], [2, 3], [3, 1], [4, 1], [14, 1], [30, 1]], 1/80640], [[[1, 4], [2, 3], [3, 1], [4, 1], [15, 1], [18, 1]], 1/124416], [[[1, 4], [2, 3], [3, 1], [4, 1], [18, 1], [20, 1]], 1/82944], [[[1, 4], [2, 3], [3, 1], [4, 1], [18, 1], [24, 1]], 5/497664], [[[1, 4], [2, 3], [3, 1], [4, 1], [18, 1], [30, 1]], 1/124416], [[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [6, 4]], 2147/28665446400], [[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [8, 2]], 5647/35389440], [[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [10, 2]], 643/110592000], [[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [12, 2]], 3331/53084160], [[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [15, 1]], 67/5529600], [[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [16, 1]], 1/7680], [[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [20, 1]], 451/3686400], [[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [24, 1]], 67/4423680], [[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [30, 1]], 67/5529600], [[[1, 4], [2, 3], [3, 1], [4, 2], [5, 2], [6, 2]], 439/477757440], [[[1, 4], [2, 3], [3, 1], [4, 2], [5, 2], [8, 1]], 21437/530841600], [[[1, 4], [2, 3], [3, 1], [4, 2], [5, 2], [10, 1]], 19067/165888000], [[[1, 4], [2, 3], [3, 1], [4, 2], [5, 2], [12, 1]], 3497/132710400], [[[1, 4], [2, 3], [3, 1], [4, 2], [6, 2], [8, 2]], 65951/764411904], [[[1, 4], [2, 3], [3, 1], [4, 2], [6, 2], [10, 2]], 9971/2388787200], [[[1, 4], [2, 3], [3, 1], [4, 2], [6, 2], [12, 2]], 201709/1146617856], [[[1, 4], [2, 3], [3, 1], [4, 2], [6, 2], [15, 1]], 467/119439360], [[[1, 4], [2, 3], [3, 1], [4, 2], [6, 2], [16, 1]], 1/12288], [[[1, 4], [2, 3], [3, 1], [4, 2], [6, 2], [20, 1]], 1619/79626240], [[[1, 4], [2, 3], [3, 1], [4, 2], [6, 2], [24, 1]], 6515/95551488], [[[1, 4], [2, 3], [3, 1], [4, 2], [6, 2], [30, 1]], 467/119439360], [[[1, 4], [2, 3], [3, 1], [4, 2], [6, 3], [7, 1]], 25/125411328], [[[1, 4], [2, 3], [3, 1], [4, 2], [6, 3], [9, 1]], 1751/15479341056], [[[1, 4], [2, 3], [3, 1], [4, 2], [6, 3], [14, 1]], 1/15676416], [[[1, 4], [2, 3], [3, 1], [4, 2], [6, 3], [18, 1]], 1429/644972544], [[[1, 4], [2, 3], [3, 1], [4, 2], [6, 4], [8, 1]], 175741/137594142720], [[[1, 4], [2, 3], [3, 1], [4, 2], [6, 4], [10, 1]], 4219/42998169600], [[[1, 4], [2, 3], [3, 1], [4, 2], [6, 4], [12, 1]], 71525/20639121408], [[[1, 4], [2, 3], [3, 1], [4, 2], [7, 1], [9, 1]], 11/1548288], [[[1, 4], [2, 3], [3, 1], [4, 2], [7, 1], [14, 1]], 143/903168], [[[1, 4], [2, 3], [3, 1], [4, 2], [7, 1], [18, 1]], 5/3483648], [[[1, 4], [2, 3], [3, 1], [4, 2], [8, 1], [10, 2]], 2429/530841600], [[[1, 4], [2, 3], [3, 1], [4, 2], [8, 1], [12, 2]], 39613/254803968], [[[1, 4], [2, 3], [3, 1], [4, 2], [8, 1], [15, 1]], 701/26542080], [[[1, 4], [2, 3], [3, 1], [4, 2], [8, 1], [16, 1]], 233/589824], [[[1, 4], [2, 3], [3, 1], [4, 2], [8, 1], [20, 1]], 3581/17694720], [[[1, 4], [2, 3], [3, 1], [4, 2], [8, 1], [24, 1]], 4157/21233664], [[[1, 4], [2, 3], [3, 1], [4, 2], [8, 1], [30, 1]], 701/26542080], [[[1, 4], [2, 3], [3, 1], [4, 2], [8, 2], [10, 1]], 1247/53084160], [[[1, 4], [2, 3], [3, 1], [4, 2], [8, 2], [12, 1]], 8941/42467328], [[[1, 4], [2, 3], [3, 1], [4, 2], [9, 1], [14, 1]], 299/55738368], [[[1, 4], [2, 3], [3, 1], [4, 2], [9, 1], [18, 1]], 24935/214990848], [[[1, 4], [2, 3], [3, 1], [4, 2], [10, 1], [12, 2]], 287/15925248], [[[1, 4], [2, 3], [3, 1], [4, 2], [10, 1], [15, 1]], 59/8294400], [[[1, 4], [2, 3], [3, 1], [4, 2], [10, 1], [20, 1]], 59/5529600], [[[1, 4], [2, 3], [3, 1], [4, 2], [10, 1], [24, 1]], 59/6635520], [[[1, 4], [2, 3], [3, 1], [4, 2], [10, 1], [30, 1]], 59/8294400], [[[1, 4], [2, 3], [3, 1], [4, 2], [10, 2], [12, 1]], 227/44236800], [[[1, 4], [2, 3], [3, 1], [4, 2], [12, 1], [15, 1]], 7/442368], [[[1, 4], [2, 3], [3, 1], [4, 2], [12, 1], [16, 1]], 7/36864], [[[1, 4], [2, 3], [3, 1], [4, 2], [12, 1], [20, 1]], 55/294912], [[[1, 4], [2, 3], [3, 1], [4, 2], [12, 1], [24, 1]], 187/1769472], [[[1, 4], [2, 3], [3, 1], [4, 2], [12, 1], [30, 1]], 7/442368], [[[1, 4], [2, 3], [3, 1], [4, 2], [14, 1], [18, 1]], 1/497664], [[[1, 4], [2, 3], [3, 1], [4, 3], [5, 1], [6, 3]], 11/238878720], [[[1, 4], [2, 3], [3, 1], [4, 3], [5, 1], [7, 1]], 1/516096], [[[1, 4], [2, 3], [3, 1], [4, 3], [5, 1], [9, 1]], 149/39813120], [[[1, 4], [2, 3], [3, 1], [4, 3], [5, 1], [14, 1]], 1/368640], [[[1, 4], [2, 3], [3, 1], [4, 3], [5, 1], [18, 1]], 1/663552], [[[1, 4], [2, 3], [3, 1], [4, 3], [5, 2], [6, 1]], 911/265420800], [[[1, 4], [2, 3], [3, 1], [4, 3], [6, 1], [8, 2]], 25403/84934656], [[[1, 4], [2, 3], [3, 1], [4, 3], [6, 1], [10, 2]], 1007/265420800], [[[1, 4], [2, 3], [3, 1], [4, 3], [6, 1], [12, 2]], 48263/127401984], [[[1, 4], [2, 3], [3, 1], [4, 3], [6, 1], [15, 1]], 239/13271040], [[[1, 4], [2, 3], [3, 1], [4, 3], [6, 1], [16, 1]], 223/1769472], [[[1, 4], [2, 3], [3, 1], [4, 3], [6, 1], [20, 1]], 421/2949120], [[[1, 4], [2, 3], [3, 1], [4, 3], [6, 1], [24, 1]], 785/10616832], [[[1, 4], [2, 3], [3, 1], [4, 3], [6, 1], [30, 1]], 239/13271040], [[[1, 4], [2, 3], [3, 1], [4, 3], [6, 2], [7, 1]], 23/37158912], [[[1, 4], [2, 3], [3, 1], [4, 3], [6, 2], [9, 1]], 41/143327232], [[[1, 4], [2, 3], [3, 1], [4, 3], [6, 2], [14, 1]], 5/37158912], [[[1, 4], [2, 3], [3, 1], [4, 3], [6, 2], [18, 1]], 1447/143327232], [[[1, 4], [2, 3], [3, 1], [4, 3], [6, 3], [8, 1]], 247/143327232], [[[1, 4], [2, 3], [3, 1], [4, 3], [6, 3], [10, 1]], 71/716636160], [[[1, 4], [2, 3], [3, 1], [4, 3], [6, 3], [12, 1]], 30409/3439853568], [[[1, 4], [2, 3], [3, 1], [4, 3], [7, 1], [8, 1]], 1/258048], [[[1, 4], [2, 3], [3, 1], [4, 3], [7, 1], [10, 1]], 1/1290240], [[[1, 4], [2, 3], [3, 1], [4, 3], [7, 1], [12, 1]], 173/18579456], [[[1, 4], [2, 3], [3, 1], [4, 3], [8, 1], [9, 1]], 7519/254803968], [[[1, 4], [2, 3], [3, 1], [4, 3], [8, 1], [14, 1]], 1/172032], [[[1, 4], [2, 3], [3, 1], [4, 3], [8, 1], [18, 1]], 25/7962624], [[[1, 4], [2, 3], [3, 1], [4, 3], [9, 1], [10, 1]], 13/4423680], [[[1, 4], [2, 3], [3, 1], [4, 3], [9, 1], [12, 1]], 319/17915904], [[[1, 4], [2, 3], [3, 1], [4, 3], [10, 1], [14, 1]], 1/645120], [[[1, 4], [2, 3], [3, 1], [4, 3], [10, 1], [18, 1]], 1/1244160], [[[1, 4], [2, 3], [3, 1], [4, 3], [12, 1], [14, 1]], 53/6193152], [[[1, 4], [2, 3], [3, 1], [4, 3], [12, 1], [18, 1]], 125/23887872], [[[1, 4], [2, 3], [3, 1], [4, 4], [5, 1], [6, 2]], 149/1911029760], [[[1, 4], [2, 3], [3, 1], [4, 4], [5, 1], [8, 1]], 1321/88473600], [[[1, 4], [2, 3], [3, 1], [4, 4], [5, 1], [10, 1]], 1081/165888000], [[[1, 4], [2, 3], [3, 1], [4, 4], [5, 1], [12, 1]], 7723/530841600], [[[1, 4], [2, 3], [3, 1], [4, 4], [6, 1], [7, 1]], 125/37158912], [[[1, 4], [2, 3], [3, 1], [4, 4], [6, 1], [9, 1]], 65443/34398535680], [[[1, 4], [2, 3], [3, 1], [4, 4], [6, 1], [14, 1]], 313/185794560], [[[1, 4], [2, 3], [3, 1], [4, 4], [6, 1], [18, 1]], 9457/5733089280], [[[1, 4], [2, 3], [3, 1], [4, 4], [6, 2], [8, 1]], 62053/7644119040], [[[1, 4], [2, 3], [3, 1], [4, 4], [6, 2], [10, 1]], 8239/9555148800], [[[1, 4], [2, 3], [3, 1], [4, 4], [6, 2], [12, 1]], 2284499/91729428480], [[[1, 4], [2, 3], [3, 1], [4, 4], [8, 1], [10, 1]], 781/353894400], [[[1, 4], [2, 3], [3, 1], [4, 4], [8, 1], [12, 1]], 69647/1274019840], [[[1, 4], [2, 3], [3, 1], [4, 4], [10, 1], [12, 1]], 6887/1592524800], [[[1, 4], [2, 3], [3, 1], [4, 5], [5, 1], [6, 1]], 959/796262400], [[[1, 4], [2, 3], [3, 1], [4, 5], [6, 1], [8, 1]], 42509/2548039680], [[[1, 4], [2, 3], [3, 1], [4, 5], [6, 1], [10, 1]], 1/819200], [[[1, 4], [2, 3], [3, 1], [4, 5], [6, 1], [12, 1]], 6211/159252480], [[[1, 4], [2, 3], [3, 1], [5, 1], [6, 2], [8, 2]], 169/39813120], [[[1, 4], [2, 3], [3, 1], [5, 1], [6, 2], [10, 2]], 9241/124416000], [[[1, 4], [2, 3], [3, 1], [5, 1], [6, 2], [12, 2]], 367/59719680], [[[1, 4], [2, 3], [3, 1], [5, 1], [6, 2], [15, 1]], 1/248832], [[[1, 4], [2, 3], [3, 1], [5, 1], [6, 2], [20, 1]], 1/165888], [[[1, 4], [2, 3], [3, 1], [5, 1], [6, 2], [24, 1]], 5/995328], [[[1, 4], [2, 3], [3, 1], [5, 1], [6, 2], [30, 1]], 1/248832], [[[1, 4], [2, 3], [3, 1], [5, 1], [6, 3], [7, 1]], 1/2177280], [[[1, 4], [2, 3], [3, 1], [5, 1], [6, 3], [9, 1]], 173/503884800], [[[1, 4], [2, 3], [3, 1], [5, 1], [6, 3], [14, 1]], 1/2612736], [[[1, 4], [2, 3], [3, 1], [5, 1], [6, 3], [18, 1]], 83/33592320], [[[1, 4], [2, 3], [3, 1], [5, 1], [6, 4], [8, 1]], 143/895795200], [[[1, 4], [2, 3], [3, 1], [5, 1], [6, 4], [10, 1]], 1001/559872000], [[[1, 4], [2, 3], [3, 1], [5, 1], [6, 4], [12, 1]], 1073/1791590400], [[[1, 4], [2, 3], [3, 1], [5, 1], [7, 1], [9, 1]], 1/25920], [[[1, 4], [2, 3], [3, 1], [5, 1], [7, 1], [14, 1]], 17/47040], [[[1, 4], [2, 3], [3, 1], [5, 1], [7, 1], [18, 1]], 1/30240], [[[1, 4], [2, 3], [3, 1], [5, 1], [8, 1], [10, 2]], 1/1152000], [[[1, 4], [2, 3], [3, 1], [5, 1], [8, 1], [12, 2]], 1/552960], [[[1, 4], [2, 3], [3, 1], [5, 1], [8, 1], [15, 1]], 1/57600], [[[1, 4], [2, 3], [3, 1], [5, 1], [8, 1], [16, 1]], 1/15360], [[[1, 4], [2, 3], [3, 1], [5, 1], [8, 1], [20, 1]], 1/38400], [[[1, 4], [2, 3], [3, 1], [5, 1], [8, 1], [24, 1]], 1/46080], [[[1, 4], [2, 3], [3, 1], [5, 1], [8, 1], [30, 1]], 1/57600], [[[1, 4], [2, 3], [3, 1], [5, 1], [8, 2], [10, 1]], 1/691200], [[[1, 4], [2, 3], [3, 1], [5, 1], [8, 2], [12, 1]], 1/737280], [[[1, 4], [2, 3], [3, 1], [5, 1], [9, 1], [14, 1]], 13/302400], [[[1, 4], [2, 3], [3, 1], [5, 1], [9, 1], [18, 1]], 713/6998400], [[[1, 4], [2, 3], [3, 1], [5, 1], [10, 1], [12, 2]], 1/1036800], [[[1, 4], [2, 3], [3, 1], [5, 1], [10, 1], [15, 1]], 1/108000], [[[1, 4], [2, 3], [3, 1], [5, 1], [10, 1], [20, 1]], 1/72000], [[[1, 4], [2, 3], [3, 1], [5, 1], [10, 1], [24, 1]], 1/86400], [[[1, 4], [2, 3], [3, 1], [5, 1], [10, 1], [30, 1]], 1/108000], [[[1, 4], [2, 3], [3, 1], [5, 1], [10, 2], [12, 1]], 1/2304000], [[[1, 4], [2, 3], [3, 1], [5, 1], [12, 1], [15, 1]], 1/115200], [[[1, 4], [2, 3], [3, 1], [5, 1], [12, 1], [20, 1]], 1/76800], [[[1, 4], [2, 3], [3, 1], [5, 1], [12, 1], [24, 1]], 1/92160], [[[1, 4], [2, 3], [3, 1], [5, 1], [12, 1], [30, 1]], 1/115200], [[[1, 4], [2, 3], [3, 1], [5, 1], [14, 1], [18, 1]], 1/36288], [[[1, 4], [2, 3], [3, 1], [5, 2], [6, 1], [7, 1]], 1/483840], [[[1, 4], [2, 3], [3, 1], [5, 2], [6, 1], [9, 1]], 493/447897600], [[[1, 4], [2, 3], [3, 1], [5, 2], [6, 1], [14, 1]], 1/806400], [[[1, 4], [2, 3], [3, 1], [5, 2], [6, 1], [18, 1]], 451/74649600], [[[1, 4], [2, 3], [3, 1], [5, 2], [6, 2], [8, 1]], 73/99532800], [[[1, 4], [2, 3], [3, 1], [5, 2], [6, 2], [10, 1]], 79/124416000], [[[1, 4], [2, 3], [3, 1], [5, 2], [6, 2], [12, 1]], 2041/1194393600], [[[1, 4], [2, 3], [3, 1], [5, 2], [8, 1], [10, 1]], 1/4608000], [[[1, 4], [2, 3], [3, 1], [5, 2], [8, 1], [12, 1]], 7/16588800], [[[1, 4], [2, 3], [3, 1], [5, 2], [10, 1], [12, 1]], 7/20736000], [[[1, 4], [2, 3], [3, 1], [6, 1], [7, 1], [8, 2]], 41/774144], [[[1, 4], [2, 3], [3, 1], [6, 1], [7, 1], [10, 2]], 1/483840], [[[1, 4], [2, 3], [3, 1], [6, 1], [7, 1], [12, 2]], 55/1161216], [[[1, 4], [2, 3], [3, 1], [6, 1], [7, 1], [15, 1]], 1/24192], [[[1, 4], [2, 3], [3, 1], [6, 1], [7, 1], [20, 1]], 1/16128], [[[1, 4], [2, 3], [3, 1], [6, 1], [7, 1], [24, 1]], 17/96768], [[[1, 4], [2, 3], [3, 1], [6, 1], [7, 1], [30, 1]], 1/24192], [[[1, 4], [2, 3], [3, 1], [6, 1], [8, 2], [9, 1]], 4453/143327232], [[[1, 4], [2, 3], [3, 1], [6, 1], [8, 2], [14, 1]], 1/36864], [[[1, 4], [2, 3], [3, 1], [6, 1], [8, 2], [18, 1]], 583/23887872], [[[1, 4], [2, 3], [3, 1], [6, 1], [9, 1], [10, 2]], 1357/447897600], [[[1, 4], [2, 3], [3, 1], [6, 1], [9, 1], [12, 2]], 5293/214990848], [[[1, 4], [2, 3], [3, 1], [6, 1], [9, 1], [15, 1]], 493/22394880], [[[1, 4], [2, 3], [3, 1], [6, 1], [9, 1], [20, 1]], 493/14929920], [[[1, 4], [2, 3], [3, 1], [6, 1], [9, 1], [24, 1]], 1645/17915904], [[[1, 4], [2, 3], [3, 1], [6, 1], [9, 1], [30, 1]], 493/22394880], [[[1, 4], [2, 3], [3, 1], [6, 1], [10, 2], [14, 1]], 1/806400], [[[1, 4], [2, 3], [3, 1], [6, 1], [10, 2], [18, 1]], 67/74649600], [[[1, 4], [2, 3], [3, 1], [6, 1], [12, 2], [14, 1]], 31/1161216], [[[1, 4], [2, 3], [3, 1], [6, 1], [12, 2], [18, 1]], 691/35831808], [[[1, 4], [2, 3], [3, 1], [6, 1], [14, 1], [15, 1]], 1/40320], [[[1, 4], [2, 3], [3, 1], [6, 1], [14, 1], [20, 1]], 1/26880], [[[1, 4], [2, 3], [3, 1], [6, 1], [14, 1], [24, 1]], 1/10752], [[[1, 4], [2, 3], [3, 1], [6, 1], [14, 1], [30, 1]], 1/40320], [[[1, 4], [2, 3], [3, 1], [6, 1], [15, 1], [18, 1]], 67/3732480], [[[1, 4], [2, 3], [3, 1], [6, 1], [18, 1], [20, 1]], 67/2488320], [[[1, 4], [2, 3], [3, 1], [6, 1], [18, 1], [24, 1]], 211/2985984], [[[1, 4], [2, 3], [3, 1], [6, 1], [18, 1], [30, 1]], 67/3732480], [[[1, 4], [2, 3], [3, 1], [6, 2], [7, 1], [9, 1]], 5/653184], [[[1, 4], [2, 3], [3, 1], [6, 2], [7, 1], [14, 1]], 17/338688], [[[1, 4], [2, 3], [3, 1], [6, 2], [7, 1], [18, 1]], 73/2612736], [[[1, 4], [2, 3], [3, 1], [6, 2], [8, 1], [10, 2]], 217/99532800], [[[1, 4], [2, 3], [3, 1], [6, 2], [8, 1], [12, 2]], 823/47775744], [[[1, 4], [2, 3], [3, 1], [6, 2], [8, 1], [15, 1]], 73/4976640], [[[1, 4], [2, 3], [3, 1], [6, 2], [8, 1], [16, 1]], 1/110592], [[[1, 4], [2, 3], [3, 1], [6, 2], [8, 1], [20, 1]], 73/3317760], [[[1, 4], [2, 3], [3, 1], [6, 2], [8, 1], [24, 1]], 217/3981312], [[[1, 4], [2, 3], [3, 1], [6, 2], [8, 1], [30, 1]], 73/4976640], [[[1, 4], [2, 3], [3, 1], [6, 2], [8, 2], [10, 1]], 511/39813120], [[[1, 4], [2, 3], [3, 1], [6, 2], [8, 2], [12, 1]], 7477/382205952], [[[1, 4], [2, 3], [3, 1], [6, 2], [9, 1], [14, 1]], 1/186624], [[[1, 4], [2, 3], [3, 1], [6, 2], [9, 1], [18, 1]], 59/1679616], [[[1, 4], [2, 3], [3, 1], [6, 2], [10, 1], [12, 2]], 793/59719680], [[[1, 4], [2, 3], [3, 1], [6, 2], [10, 1], [15, 1]], 79/6220800], [[[1, 4], [2, 3], [3, 1], [6, 2], [10, 1], [20, 1]], 79/4147200], [[[1, 4], [2, 3], [3, 1], [6, 2], [10, 1], [24, 1]], 223/4976640], [[[1, 4], [2, 3], [3, 1], [6, 2], [10, 1], [30, 1]], 79/6220800], [[[1, 4], [2, 3], [3, 1], [6, 2], [10, 2], [12, 1]], 869/238878720], [[[1, 4], [2, 3], [3, 1], [6, 2], [12, 1], [15, 1]], 889/59719680], [[[1, 4], [2, 3], [3, 1], [6, 2], [12, 1], [20, 1]], 889/39813120], [[[1, 4], [2, 3], [3, 1], [6, 2], [12, 1], [24, 1]], 2617/47775744], [[[1, 4], [2, 3], [3, 1], [6, 2], [12, 1], [30, 1]], 889/59719680], [[[1, 4], [2, 3], [3, 1], [6, 2], [14, 1], [18, 1]], 11/653184], [[[1, 4], [2, 3], [3, 1], [6, 3], [7, 1], [8, 1]], 5/1492992], [[[1, 4], [2, 3], [3, 1], [6, 3], [7, 1], [10, 1]], 1/241920], [[[1, 4], [2, 3], [3, 1], [6, 3], [7, 1], [12, 1]], 265/31352832], [[[1, 4], [2, 3], [3, 1], [6, 3], [8, 1], [9, 1]], 415/161243136], [[[1, 4], [2, 3], [3, 1], [6, 3], [8, 1], [14, 1]], 1/435456], [[[1, 4], [2, 3], [3, 1], [6, 3], [8, 1], [18, 1]], 29/2985984], [[[1, 4], [2, 3], [3, 1], [6, 3], [9, 1], [10, 1]], 19/7464960], [[[1, 4], [2, 3], [3, 1], [6, 3], [9, 1], [12, 1]], 9893/1934917632], [[[1, 4], [2, 3], [3, 1], [6, 3], [10, 1], [14, 1]], 1/483840], [[[1, 4], [2, 3], [3, 1], [6, 3], [10, 1], [18, 1]], 19/2239488], [[[1, 4], [2, 3], [3, 1], [6, 3], [12, 1], [14, 1]], 23/4478976], [[[1, 4], [2, 3], [3, 1], [6, 3], [12, 1], [18, 1]], 3803/322486272], [[[1, 4], [2, 3], [3, 1], [6, 4], [8, 1], [10, 1]], 427/398131200], [[[1, 4], [2, 3], [3, 1], [6, 4], [8, 1], [12, 1]], 12137/4299816960], [[[1, 4], [2, 3], [3, 1], [6, 4], [10, 1], [12, 1]], 13517/5374771200], [[[1, 4], [2, 3], [3, 1], [7, 1], [8, 1], [9, 1]], 1/27648], [[[1, 4], [2, 3], [3, 1], [7, 1], [8, 1], [14, 1]], 17/75264], [[[1, 4], [2, 3], [3, 1], [7, 1], [8, 1], [18, 1]], 1/41472], [[[1, 4], [2, 3], [3, 1], [7, 1], [9, 1], [10, 1]], 1/90720], [[[1, 4], [2, 3], [3, 1], [7, 1], [9, 1], [12, 1]], 1/36288], [[[1, 4], [2, 3], [3, 1], [7, 1], [12, 1], [14, 1]], 17/56448], [[[1, 4], [2, 3], [3, 1], [7, 1], [12, 1], [18, 1]], 13/435456], [[[1, 4], [2, 3], [3, 1], [8, 1], [9, 1], [14, 1]], 1/41472], [[[1, 4], [2, 3], [3, 1], [8, 1], [9, 1], [18, 1]], 145/2239488], [[[1, 4], [2, 3], [3, 1], [8, 1], [10, 1], [12, 2]], 1/2211840], [[[1, 4], [2, 3], [3, 1], [8, 1], [10, 1], [15, 1]], 1/230400], [[[1, 4], [2, 3], [3, 1], [8, 1], [10, 1], [20, 1]], 1/153600], [[[1, 4], [2, 3], [3, 1], [8, 1], [10, 1], [24, 1]], 1/184320], [[[1, 4], [2, 3], [3, 1], [8, 1], [10, 1], [30, 1]], 1/230400], [[[1, 4], [2, 3], [3, 1], [8, 1], [10, 2], [12, 1]], 7/16588800], [[[1, 4], [2, 3], [3, 1], [8, 1], [12, 1], [15, 1]], 7/829440], [[[1, 4], [2, 3], [3, 1], [8, 1], [12, 1], [16, 1]], 1/18432], [[[1, 4], [2, 3], [3, 1], [8, 1], [12, 1], [20, 1]], 7/552960], [[[1, 4], [2, 3], [3, 1], [8, 1], [12, 1], [24, 1]], 7/663552], [[[1, 4], [2, 3], [3, 1], [8, 1], [12, 1], [30, 1]], 7/829440], [[[1, 4], [2, 3], [3, 1], [8, 1], [14, 1], [18, 1]], 1/96768], [[[1, 4], [2, 3], [3, 1], [8, 2], [10, 1], [12, 1]], 7/6635520], [[[1, 4], [2, 3], [3, 1], [9, 1], [10, 1], [14, 1]], 1/241920], [[[1, 4], [2, 3], [3, 1], [9, 1], [10, 1], [18, 1]], 1/311040], [[[1, 4], [2, 3], [3, 1], [9, 1], [12, 1], [14, 1]], 11/435456], [[[1, 4], [2, 3], [3, 1], [9, 1], [12, 1], [18, 1]], 67/839808], [[[1, 4], [2, 3], [3, 1], [10, 1], [12, 1], [15, 1]], 7/1036800], [[[1, 4], [2, 3], [3, 1], [10, 1], [12, 1], [20, 1]], 7/691200], [[[1, 4], [2, 3], [3, 1], [10, 1], [12, 1], [24, 1]], 7/829440], [[[1, 4], [2, 3], [3, 1], [10, 1], [12, 1], [30, 1]], 7/1036800], [[[1, 4], [2, 3], [3, 1], [12, 1], [14, 1], [18, 1]], 1/54432], [[[1, 4], [2, 3], [3, 2], [4, 1], [5, 1], [6, 4]], 2941/10749542400], [[[1, 4], [2, 3], [3, 2], [4, 1], [5, 1], [8, 2]], 151/4423680], [[[1, 4], [2, 3], [3, 2], [4, 1], [5, 1], [10, 2]], 7/13824000], [[[1, 4], [2, 3], [3, 2], [4, 1], [5, 1], [12, 2]], 53/2211840], [[[1, 4], [2, 3], [3, 2], [4, 1], [5, 1], [15, 1]], 7/691200], [[[1, 4], [2, 3], [3, 2], [4, 1], [5, 1], [20, 1]], 7/460800], [[[1, 4], [2, 3], [3, 2], [4, 1], [5, 1], [24, 1]], 7/552960], [[[1, 4], [2, 3], [3, 2], [4, 1], [5, 1], [30, 1]], 7/691200], [[[1, 4], [2, 3], [3, 2], [4, 1], [5, 2], [6, 2]], 701/212336640], [[[1, 4], [2, 3], [3, 2], [4, 1], [5, 2], [8, 1]], 5537/199065600], [[[1, 4], [2, 3], [3, 2], [4, 1], [5, 2], [10, 1]], 221/41472000], [[[1, 4], [2, 3], [3, 2], [4, 1], [5, 2], [12, 1]], 32281/1592524800], [[[1, 4], [2, 3], [3, 2], [4, 1], [6, 2], [8, 2]], 7309/339738624], [[[1, 4], [2, 3], [3, 2], [4, 1], [6, 2], [10, 2]], 2417/1061683200], [[[1, 4], [2, 3], [3, 2], [4, 1], [6, 2], [12, 2]], 24583/509607936], [[[1, 4], [2, 3], [3, 2], [4, 1], [6, 2], [15, 1]], 1553/53084160], [[[1, 4], [2, 3], [3, 2], [4, 1], [6, 2], [16, 1]], 481/2654208], [[[1, 4], [2, 3], [3, 2], [4, 1], [6, 2], [20, 1]], 1553/35389440], [[[1, 4], [2, 3], [3, 2], [4, 1], [6, 2], [24, 1]], 10457/42467328], [[[1, 4], [2, 3], [3, 2], [4, 1], [6, 2], [30, 1]], 1553/53084160], [[[1, 4], [2, 3], [3, 2], [4, 1], [6, 3], [7, 1]], 1/435456], [[[1, 4], [2, 3], [3, 2], [4, 1], [6, 3], [9, 1]], 749/322486272], [[[1, 4], [2, 3], [3, 2], [4, 1], [6, 3], [14, 1]], 11/6967296], [[[1, 4], [2, 3], [3, 2], [4, 1], [6, 3], [18, 1]], 14897/859963392], [[[1, 4], [2, 3], [3, 2], [4, 1], [6, 4], [8, 1]], 35821/25798901760], [[[1, 4], [2, 3], [3, 2], [4, 1], [6, 4], [10, 1]], 389/429981696], [[[1, 4], [2, 3], [3, 2], [4, 1], [6, 4], [12, 1]], 995393/137594142720], [[[1, 4], [2, 3], [3, 2], [4, 1], [7, 1], [9, 1]], 1/108864], [[[1, 4], [2, 3], [3, 2], [4, 1], [7, 1], [14, 1]], 5/96768], [[[1, 4], [2, 3], [3, 2], [4, 1], [8, 1], [10, 2]], 137/199065600], [[[1, 4], [2, 3], [3, 2], [4, 1], [8, 1], [12, 2]], 3053/95551488], [[[1, 4], [2, 3], [3, 2], [4, 1], [8, 1], [15, 1]], 137/9953280], [[[1, 4], [2, 3], [3, 2], [4, 1], [8, 1], [16, 1]], 25/221184], [[[1, 4], [2, 3], [3, 2], [4, 1], [8, 1], [20, 1]], 377/6635520], [[[1, 4], [2, 3], [3, 2], [4, 1], [8, 1], [24, 1]], 617/7962624], [[[1, 4], [2, 3], [3, 2], [4, 1], [8, 1], [30, 1]], 137/9953280], [[[1, 4], [2, 3], [3, 2], [4, 1], [8, 2], [10, 1]], 41/13271040], [[[1, 4], [2, 3], [3, 2], [4, 1], [8, 2], [12, 1]], 17557/509607936], [[[1, 4], [2, 3], [3, 2], [4, 1], [9, 1], [14, 1]], 1/145152], [[[1, 4], [2, 3], [3, 2], [4, 1], [9, 1], [18, 1]], 25/559872], [[[1, 4], [2, 3], [3, 2], [4, 1], [10, 1], [12, 2]], 113/19906560], [[[1, 4], [2, 3], [3, 2], [4, 1], [10, 1], [15, 1]], 1/414720], [[[1, 4], [2, 3], [3, 2], [4, 1], [10, 1], [20, 1]], 1/276480], [[[1, 4], [2, 3], [3, 2], [4, 1], [10, 1], [24, 1]], 1/331776], [[[1, 4], [2, 3], [3, 2], [4, 1], [10, 1], [30, 1]], 1/414720], [[[1, 4], [2, 3], [3, 2], [4, 1], [10, 2], [12, 1]], 1753/1592524800], [[[1, 4], [2, 3], [3, 2], [4, 1], [12, 1], [15, 1]], 889/79626240], [[[1, 4], [2, 3], [3, 2], [4, 1], [12, 1], [16, 1]], 43/1327104], [[[1, 4], [2, 3], [3, 2], [4, 1], [12, 1], [20, 1]], 241/5898240], [[[1, 4], [2, 3], [3, 2], [4, 1], [12, 1], [24, 1]], 2809/63700992], [[[1, 4], [2, 3], [3, 2], [4, 1], [12, 1], [30, 1]], 889/79626240], [[[1, 4], [2, 3], [3, 2], [4, 2], [5, 1], [6, 3]], 21269/21499084800], [[[1, 4], [2, 3], [3, 2], [4, 2], [5, 1], [7, 1]], 1/1935360], [[[1, 4], [2, 3], [3, 2], [4, 2], [5, 1], [9, 1]], 71/9953280], [[[1, 4], [2, 3], [3, 2], [4, 2], [5, 1], [14, 1]], 1/645120], [[[1, 4], [2, 3], [3, 2], [4, 2], [5, 1], [18, 1]], 1/1492992], [[[1, 4], [2, 3], [3, 2], [4, 2], [5, 2], [6, 1]], 398693/57330892800], [[[1, 4], [2, 3], [3, 2], [4, 2], [6, 1], [8, 2]], 1524593/18345885696], [[[1, 4], [2, 3], [3, 2], [4, 2], [6, 1], [10, 2]], 46181/57330892800], [[[1, 4], [2, 3], [3, 2], [4, 2], [6, 1], [12, 2]], 6321187/27518828544], [[[1, 4], [2, 3], [3, 2], [4, 2], [6, 1], [15, 1]], 15077/2866544640], [[[1, 4], [2, 3], [3, 2], [4, 2], [6, 1], [16, 1]], 7/73728], [[[1, 4], [2, 3], [3, 2], [4, 2], [6, 1], [20, 1]], 35813/1911029760], [[[1, 4], [2, 3], [3, 2], [4, 2], [6, 1], [24, 1]], 208613/2293235712], [[[1, 4], [2, 3], [3, 2], [4, 2], [6, 1], [30, 1]], 15077/2866544640], [[[1, 4], [2, 3], [3, 2], [4, 2], [6, 2], [7, 1]], 3263/49545216], [[[1, 4], [2, 3], [3, 2], [4, 2], [6, 2], [9, 1]], 31235/859963392], [[[1, 4], [2, 3], [3, 2], [4, 2], [6, 2], [14, 1]], 8429/254803968], [[[1, 4], [2, 3], [3, 2], [4, 2], [6, 2], [18, 1]], 589721/20639121408], [[[1, 4], [2, 3], [3, 2], [4, 2], [6, 3], [8, 1]], 472961/13759414272], [[[1, 4], [2, 3], [3, 2], [4, 2], [6, 3], [10, 1]], 62411/3822059520], [[[1, 4], [2, 3], [3, 2], [4, 2], [6, 3], [12, 1]], 48895021/743008370688], [[[1, 4], [2, 3], [3, 2], [4, 2], [7, 1], [8, 1]], 1/1548288], [[[1, 4], [2, 3], [3, 2], [4, 2], [7, 1], [12, 1]], 131/31850496], [[[1, 4], [2, 3], [3, 2], [4, 2], [8, 1], [9, 1]], 725/47775744], [[[1, 4], [2, 3], [3, 2], [4, 2], [8, 1], [14, 1]], 1/774144], [[[1, 4], [2, 3], [3, 2], [4, 2], [8, 1], [18, 1]], 1/1492992], [[[1, 4], [2, 3], [3, 2], [4, 2], [9, 1], [10, 1]], 59/14929920], [[[1, 4], [2, 3], [3, 2], [4, 2], [9, 1], [12, 1]], 179/15925248], [[[1, 4], [2, 3], [3, 2], [4, 2], [12, 1], [14, 1]], 1621/382205952], [[[1, 4], [2, 3], [3, 2], [4, 2], [12, 1], [18, 1]], 25615/10319560704], [[[1, 4], [2, 3], [3, 2], [4, 3], [5, 1], [6, 2]], 661/28311552], [[[1, 4], [2, 3], [3, 2], [4, 3], [5, 1], [8, 1]], 1/442368], [[[1, 4], [2, 3], [3, 2], [4, 3], [5, 1], [10, 1]], 1/2764800], [[[1, 4], [2, 3], [3, 2], [4, 3], [5, 1], [12, 1]], 443/70778880], [[[1, 4], [2, 3], [3, 2], [4, 3], [6, 1], [7, 1]], 23/37158912], [[[1, 4], [2, 3], [3, 2], [4, 3], [6, 1], [9, 1]], 1495/143327232], [[[1, 4], [2, 3], [3, 2], [4, 3], [6, 1], [14, 1]], 5/5308416], [[[1, 4], [2, 3], [3, 2], [4, 3], [6, 1], [18, 1]], 37/47775744], [[[1, 4], [2, 3], [3, 2], [4, 3], [6, 2], [8, 1]], 119111/905969664], [[[1, 4], [2, 3], [3, 2], [4, 3], [6, 2], [10, 1]], 29933/1274019840], [[[1, 4], [2, 3], [3, 2], [4, 3], [6, 2], [12, 1]], 166613/764411904], [[[1, 4], [2, 3], [3, 2], [4, 3], [8, 1], [10, 1]], 1/2211840], [[[1, 4], [2, 3], [3, 2], [4, 3], [8, 1], [12, 1]], 257335/12230590464], [[[1, 4], [2, 3], [3, 2], [4, 3], [10, 1], [12, 1]], 1207/637009920], [[[1, 4], [2, 3], [3, 2], [4, 4], [5, 1], [6, 1]], 92143/47775744000], [[[1, 4], [2, 3], [3, 2], [4, 4], [6, 1], [8, 1]], 224011/15288238080], [[[1, 4], [2, 3], [3, 2], [4, 4], [6, 1], [10, 1]], 4271/11466178560], [[[1, 4], [2, 3], [3, 2], [4, 4], [6, 1], [12, 1]], 24254681/550376570880], [[[1, 4], [2, 3], [3, 2], [5, 1], [6, 1], [8, 2]], 4963/199065600], [[[1, 4], [2, 3], [3, 2], [5, 1], [6, 1], [10, 2]], 643/622080000], [[[1, 4], [2, 3], [3, 2], [5, 1], [6, 1], [12, 2]], 6901/298598400], [[[1, 4], [2, 3], [3, 2], [5, 1], [6, 1], [15, 1]], 643/31104000], [[[1, 4], [2, 3], [3, 2], [5, 1], [6, 1], [20, 1]], 643/20736000], [[[1, 4], [2, 3], [3, 2], [5, 1], [6, 1], [24, 1]], 2083/24883200], [[[1, 4], [2, 3], [3, 2], [5, 1], [6, 1], [30, 1]], 643/31104000], [[[1, 4], [2, 3], [3, 2], [5, 1], [6, 2], [7, 1]], 11/2903040], [[[1, 4], [2, 3], [3, 2], [5, 1], [6, 2], [9, 1]], 41/8957952], [[[1, 4], [2, 3], [3, 2], [5, 1], [6, 2], [14, 1]], 43/9676800], [[[1, 4], [2, 3], [3, 2], [5, 1], [6, 2], [18, 1]], 209/14929920], [[[1, 4], [2, 3], [3, 2], [5, 1], [6, 3], [8, 1]], 121/71663616], [[[1, 4], [2, 3], [3, 2], [5, 1], [6, 3], [10, 1]], 443/20736000], [[[1, 4], [2, 3], [3, 2], [5, 1], [6, 3], [12, 1]], 11417/2687385600], [[[1, 4], [2, 3], [3, 2], [5, 1], [7, 1], [8, 1]], 1/53760], [[[1, 4], [2, 3], [3, 2], [5, 1], [7, 1], [12, 1]], 11/483840], [[[1, 4], [2, 3], [3, 2], [5, 1], [8, 1], [9, 1]], 13/622080], [[[1, 4], [2, 3], [3, 2], [5, 1], [8, 1], [14, 1]], 1/53760], [[[1, 4], [2, 3], [3, 2], [5, 1], [8, 1], [18, 1]], 7/622080], [[[1, 4], [2, 3], [3, 2], [5, 1], [9, 1], [10, 1]], 1/194400], [[[1, 4], [2, 3], [3, 2], [5, 1], [9, 1], [12, 1]], 47/2488320], [[[1, 4], [2, 3], [3, 2], [5, 1], [12, 1], [14, 1]], 43/1612800], [[[1, 4], [2, 3], [3, 2], [5, 1], [12, 1], [18, 1]], 563/37324800], [[[1, 4], [2, 3], [3, 2], [5, 2], [6, 1], [8, 1]], 203/39813120], [[[1, 4], [2, 3], [3, 2], [5, 2], [6, 1], [10, 1]], 108979/746496000], [[[1, 4], [2, 3], [3, 2], [5, 2], [6, 1], [12, 1]], 48103/7166361600], [[[1, 4], [2, 3], [3, 2], [6, 1], [7, 1], [9, 1]], 73/2612736], [[[1, 4], [2, 3], [3, 2], [6, 1], [7, 1], [14, 1]], 13/338688], [[[1, 4], [2, 3], [3, 2], [6, 1], [7, 1], [18, 1]], 5/653184], [[[1, 4], [2, 3], [3, 2], [6, 1], [8, 1], [10, 2]], 151/199065600], [[[1, 4], [2, 3], [3, 2], [6, 1], [8, 1], [12, 2]], 1777/95551488], [[[1, 4], [2, 3], [3, 2], [6, 1], [8, 1], [15, 1]], 151/9953280], [[[1, 4], [2, 3], [3, 2], [6, 1], [8, 1], [16, 1]], 1/147456], [[[1, 4], [2, 3], [3, 2], [6, 1], [8, 1], [20, 1]], 151/6635520], [[[1, 4], [2, 3], [3, 2], [6, 1], [8, 1], [24, 1]], 439/7962624], [[[1, 4], [2, 3], [3, 2], [6, 1], [8, 1], [30, 1]], 151/9953280], [[[1, 4], [2, 3], [3, 2], [6, 1], [8, 2], [10, 1]], 547/238878720], [[[1, 4], [2, 3], [3, 2], [6, 1], [8, 2], [12, 1]], 54799/2293235712], [[[1, 4], [2, 3], [3, 2], [6, 1], [9, 1], [14, 1]], 11/653184], [[[1, 4], [2, 3], [3, 2], [6, 1], [9, 1], [18, 1]], 19/559872], [[[1, 4], [2, 3], [3, 2], [6, 1], [10, 1], [12, 2]], 1861/358318080], [[[1, 4], [2, 3], [3, 2], [6, 1], [10, 1], [15, 1]], 23/7464960], [[[1, 4], [2, 3], [3, 2], [6, 1], [10, 1], [20, 1]], 23/4976640], [[[1, 4], [2, 3], [3, 2], [6, 1], [10, 1], [24, 1]], 23/5971968], [[[1, 4], [2, 3], [3, 2], [6, 1], [10, 1], [30, 1]], 23/7464960], [[[1, 4], [2, 3], [3, 2], [6, 1], [10, 2], [12, 1]], 9223/7166361600], [[[1, 4], [2, 3], [3, 2], [6, 1], [12, 1], [15, 1]], 6631/358318080], [[[1, 4], [2, 3], [3, 2], [6, 1], [12, 1], [20, 1]], 6631/238878720], [[[1, 4], [2, 3], [3, 2], [6, 1], [12, 1], [24, 1]], 20455/286654464], [[[1, 4], [2, 3], [3, 2], [6, 1], [12, 1], [30, 1]], 6631/358318080], [[[1, 4], [2, 3], [3, 2], [6, 1], [14, 1], [18, 1]], 71/15676416], [[[1, 4], [2, 3], [3, 2], [6, 2], [7, 1], [8, 1]], 17/2654208], [[[1, 4], [2, 3], [3, 2], [6, 2], [7, 1], [10, 1]], 11/2903040], [[[1, 4], [2, 3], [3, 2], [6, 2], [7, 1], [12, 1]], 1/124416], [[[1, 4], [2, 3], [3, 2], [6, 2], [8, 1], [9, 1]], 137/11943936], [[[1, 4], [2, 3], [3, 2], [6, 2], [8, 1], [14, 1]], 17/4644864], [[[1, 4], [2, 3], [3, 2], [6, 2], [8, 1], [18, 1]], 791/71663616], [[[1, 4], [2, 3], [3, 2], [6, 2], [9, 1], [10, 1]], 43/4976640], [[[1, 4], [2, 3], [3, 2], [6, 2], [9, 1], [12, 1]], 1337/107495424], [[[1, 4], [2, 3], [3, 2], [6, 2], [10, 1], [14, 1]], 1/860160], [[[1, 4], [2, 3], [3, 2], [6, 2], [10, 1], [18, 1]], 703/268738560], [[[1, 4], [2, 3], [3, 2], [6, 2], [12, 1], [14, 1]], 31/5971968], [[[1, 4], [2, 3], [3, 2], [6, 2], [12, 1], [18, 1]], 8843/644972544], [[[1, 4], [2, 3], [3, 2], [6, 3], [8, 1], [10, 1]], 71/39813120], [[[1, 4], [2, 3], [3, 2], [6, 3], [8, 1], [12, 1]], 4345/859963392], [[[1, 4], [2, 3], [3, 2], [6, 3], [10, 1], [12, 1]], 185/71663616], [[[1, 4], [2, 3], [3, 2], [7, 1], [8, 1], [12, 1]], 1/49152], [[[1, 4], [2, 3], [3, 2], [7, 1], [10, 1], [12, 1]], 1/483840], [[[1, 4], [2, 3], [3, 2], [8, 1], [9, 1], [10, 1]], 1/414720], [[[1, 4], [2, 3], [3, 2], [8, 1], [9, 1], [12, 1]], 95/5971968], [[[1, 4], [2, 3], [3, 2], [8, 1], [12, 1], [14, 1]], 11/774144], [[[1, 4], [2, 3], [3, 2], [8, 1], [12, 1], [18, 1]], 115/11943936], [[[1, 4], [2, 3], [3, 2], [9, 1], [10, 1], [12, 1]], 7/1492992], [[[1, 4], [2, 3], [3, 2], [10, 1], [12, 1], [14, 1]], 1/1290240], [[[1, 4], [2, 3], [3, 2], [10, 1], [12, 1], [18, 1]], 1/1658880], [[[1, 4], [2, 3], [3, 3], [4, 1], [5, 1], [6, 3]], 10739/2418647040], [[[1, 4], [2, 3], [3, 3], [4, 1], [5, 1], [7, 1]], 1/2488320], [[[1, 4], [2, 3], [3, 3], [4, 1], [5, 1], [9, 1]], 131/22394880], [[[1, 4], [2, 3], [3, 3], [4, 1], [5, 1], [14, 1]], 1/3483648], [[[1, 4], [2, 3], [3, 3], [4, 1], [5, 1], [18, 1]], 13/67184640], [[[1, 4], [2, 3], [3, 3], [4, 1], [5, 2], [6, 1]], 2107/447897600], [[[1, 4], [2, 3], [3, 3], [4, 1], [6, 1], [8, 2]], 199/35831808], [[[1, 4], [2, 3], [3, 3], [4, 1], [6, 1], [10, 2]], 23/89579520], [[[1, 4], [2, 3], [3, 3], [4, 1], [6, 1], [12, 2]], 4301/214990848], [[[1, 4], [2, 3], [3, 3], [4, 1], [6, 1], [15, 1]], 11/4478976], [[[1, 4], [2, 3], [3, 3], [4, 1], [6, 1], [16, 1]], 5/165888], [[[1, 4], [2, 3], [3, 3], [4, 1], [6, 1], [20, 1]], 11/2985984], [[[1, 4], [2, 3], [3, 3], [4, 1], [6, 1], [24, 1]], 595/17915904], [[[1, 4], [2, 3], [3, 3], [4, 1], [6, 1], [30, 1]], 11/4478976], [[[1, 4], [2, 3], [3, 3], [4, 1], [6, 2], [7, 1]], 1/435456], [[[1, 4], [2, 3], [3, 3], [4, 1], [6, 2], [9, 1]], 14945/859963392], [[[1, 4], [2, 3], [3, 3], [4, 1], [6, 2], [14, 1]], 5/4644864], [[[1, 4], [2, 3], [3, 3], [4, 1], [6, 2], [18, 1]], 701/322486272], [[[1, 4], [2, 3], [3, 3], [4, 1], [6, 3], [8, 1]], 64549/7739670528], [[[1, 4], [2, 3], [3, 3], [4, 1], [6, 3], [10, 1]], 7337/2418647040], [[[1, 4], [2, 3], [3, 3], [4, 1], [6, 3], [12, 1]], 4193855/5804752896], [[[1, 4], [2, 3], [3, 3], [4, 1], [7, 1], [8, 1]], 13/9289728], [[[1, 4], [2, 3], [3, 3], [4, 1], [7, 1], [10, 1]], 1/2488320], [[[1, 4], [2, 3], [3, 3], [4, 1], [7, 1], [12, 1]], 25/10450944], [[[1, 4], [2, 3], [3, 3], [4, 1], [8, 1], [9, 1]], 905/107495424], [[[1, 4], [2, 3], [3, 3], [4, 1], [8, 1], [14, 1]], 29/27869184], [[[1, 4], [2, 3], [3, 3], [4, 1], [8, 1], [18, 1]], 73/107495424], [[[1, 4], [2, 3], [3, 3], [4, 1], [9, 1], [10, 1]], 7/4478976], [[[1, 4], [2, 3], [3, 3], [4, 1], [9, 1], [12, 1]], 3235/429981696], [[[1, 4], [2, 3], [3, 3], [4, 1], [10, 1], [14, 1]], 1/3483648], [[[1, 4], [2, 3], [3, 3], [4, 1], [10, 1], [18, 1]], 13/67184640], [[[1, 4], [2, 3], [3, 3], [4, 1], [12, 1], [14, 1]], 37/20901888], [[[1, 4], [2, 3], [3, 3], [4, 1], [12, 1], [18, 1]], 187/161243136], [[[1, 4], [2, 3], [3, 3], [4, 2], [5, 1], [6, 2]], 10019/318504960], [[[1, 4], [2, 3], [3, 3], [4, 2], [5, 1], [8, 1]], 17/19906560], [[[1, 4], [2, 3], [3, 3], [4, 2], [5, 1], [10, 1]], 11/6220800], [[[1, 4], [2, 3], [3, 3], [4, 2], [5, 1], [12, 1]], 473/159252480], [[[1, 4], [2, 3], [3, 3], [4, 2], [6, 1], [7, 1]], 25/125411328], [[[1, 4], [2, 3], [3, 3], [4, 2], [6, 1], [9, 1]], 47215/15479341056], [[[1, 4], [2, 3], [3, 3], [4, 2], [6, 1], [14, 1]], 1/3919104], [[[1, 4], [2, 3], [3, 3], [4, 2], [6, 1], [18, 1]], 157/644972544], [[[1, 4], [2, 3], [3, 3], [4, 2], [6, 2], [8, 1]], 424805/13759414272], [[[1, 4], [2, 3], [3, 3], [4, 2], [6, 2], [10, 1]], 727/859963392], [[[1, 4], [2, 3], [3, 3], [4, 2], [6, 2], [12, 1]], 2069683/30958682112], [[[1, 4], [2, 3], [3, 3], [4, 2], [8, 1], [10, 1]], 11/19906560], [[[1, 4], [2, 3], [3, 3], [4, 2], [8, 1], [12, 1]], 43279/6879707136], [[[1, 4], [2, 3], [3, 3], [4, 2], [10, 1], [12, 1]], 2281/2149908480], [[[1, 4], [2, 3], [3, 3], [4, 3], [5, 1], [6, 1]], 281/716636160], [[[1, 4], [2, 3], [3, 3], [4, 3], [6, 1], [8, 1]], 455/143327232], [[[1, 4], [2, 3], [3, 3], [4, 3], [6, 1], [10, 1]], 79/716636160], [[[1, 4], [2, 3], [3, 3], [4, 3], [6, 1], [12, 1]], 46249/3439853568], [[[1, 4], [2, 3], [3, 3], [5, 1], [6, 1], [7, 1]], 1/241920], [[[1, 4], [2, 3], [3, 3], [5, 1], [6, 1], [9, 1]], 773/55987200], [[[1, 4], [2, 3], [3, 3], [5, 1], [6, 1], [14, 1]], 1/290304], [[[1, 4], [2, 3], [3, 3], [5, 1], [6, 1], [18, 1]], 41/11197440], [[[1, 4], [2, 3], [3, 3], [5, 1], [6, 2], [8, 1]], 31/9953280], [[[1, 4], [2, 3], [3, 3], [5, 1], [6, 2], [10, 1]], 101/6220800], [[[1, 4], [2, 3], [3, 3], [5, 1], [6, 2], [12, 1]], 1/245760], [[[1, 4], [2, 3], [3, 3], [5, 1], [8, 1], [12, 1]], 17/1658880], [[[1, 4], [2, 3], [3, 3], [5, 1], [10, 1], [12, 1]], 1/1036800], [[[1, 4], [2, 3], [3, 3], [6, 1], [7, 1], [8, 1]], 5/1492992], [[[1, 4], [2, 3], [3, 3], [6, 1], [7, 1], [10, 1]], 1/2177280], [[[1, 4], [2, 3], [3, 3], [6, 1], [7, 1], [12, 1]], 265/31352832], [[[1, 4], [2, 3], [3, 3], [6, 1], [8, 1], [9, 1]], 541/53747712], [[[1, 4], [2, 3], [3, 3], [6, 1], [8, 1], [14, 1]], 1/653184], [[[1, 4], [2, 3], [3, 3], [6, 1], [8, 1], [18, 1]], 191/80621568], [[[1, 4], [2, 3], [3, 3], [6, 1], [9, 1], [10, 1]], 389/201553920], [[[1, 4], [2, 3], [3, 3], [6, 1], [9, 1], [12, 1]], 28373/1934917632], [[[1, 4], [2, 3], [3, 3], [6, 1], [10, 1], [14, 1]], 1/4354560], [[[1, 4], [2, 3], [3, 3], [6, 1], [10, 1], [18, 1]], 23/100776960], [[[1, 4], [2, 3], [3, 3], [6, 1], [12, 1], [14, 1]], 23/4478976], [[[1, 4], [2, 3], [3, 3], [6, 1], [12, 1], [18, 1]], 1595/322486272], [[[1, 4], [2, 3], [3, 3], [6, 2], [8, 1], [10, 1]], 283/358318080], [[[1, 4], [2, 3], [3, 3], [6, 2], [8, 1], [12, 1]], 2201/429981696], [[[1, 4], [2, 3], [3, 3], [6, 2], [10, 1], [12, 1]], 1421/537477120], [[[1, 4], [2, 3], [3, 3], [8, 1], [10, 1], [12, 1]], 1/2211840], [[[1, 4], [2, 3], [3, 4], [4, 1], [5, 1], [6, 2]], 4361/3583180800], [[[1, 4], [2, 3], [3, 4], [4, 1], [5, 1], [8, 1]], 18973/23887872000], [[[1, 4], [2, 3], [3, 4], [4, 1], [5, 1], [10, 1]], 19/93312000], [[[1, 4], [2, 3], [3, 4], [4, 1], [5, 1], [12, 1]], 551/358318080], [[[1, 4], [2, 3], [3, 4], [4, 1], [6, 1], [7, 1]], 71/313528320], [[[1, 4], [2, 3], [3, 4], [4, 1], [6, 1], [9, 1]], 961/644972544], [[[1, 4], [2, 3], [3, 4], [4, 1], [6, 1], [14, 1]], 101/627056640], [[[1, 4], [2, 3], [3, 4], [4, 1], [6, 1], [18, 1]], 13873/77396705280], [[[1, 4], [2, 3], [3, 4], [4, 1], [6, 2], [8, 1]], 13631/11466178560], [[[1, 4], [2, 3], [3, 4], [4, 1], [6, 2], [10, 1]], 2371/10749542400], [[[1, 4], [2, 3], [3, 4], [4, 1], [6, 2], [12, 1]], 93398659/412782428160], [[[1, 4], [2, 3], [3, 4], [4, 1], [8, 1], [10, 1]], 443/3185049600], [[[1, 4], [2, 3], [3, 4], [4, 1], [8, 1], [12, 1]], 1285/573308928], [[[1, 4], [2, 3], [3, 4], [4, 1], [10, 1], [12, 1]], 251/597196800], [[[1, 4], [2, 3], [3, 4], [4, 2], [5, 1], [6, 1]], 39421/214990848000], [[[1, 4], [2, 3], [3, 4], [4, 2], [6, 1], [8, 1]], 239929/137594142720], [[[1, 4], [2, 3], [3, 4], [4, 2], [6, 1], [10, 1]], 35723/343985356800], [[[1, 4], [2, 3], [3, 4], [4, 2], [6, 1], [12, 1]], 2309675/495338913792], [[[1, 4], [2, 3], [3, 4], [5, 1], [6, 1], [8, 1]], 1121/716636160], [[[1, 4], [2, 3], [3, 4], [5, 1], [6, 1], [10, 1]], 4403/1866240000], [[[1, 4], [2, 3], [3, 4], [5, 1], [6, 1], [12, 1]], 109913/26873856000], [[[1, 4], [2, 3], [3, 4], [6, 1], [8, 1], [10, 1]], 407/3583180800], [[[1, 4], [2, 3], [3, 4], [6, 1], [8, 1], [12, 1]], 25201/8599633920], [[[1, 4], [2, 3], [3, 4], [6, 1], [10, 1], [12, 1]], 5219/10749542400], [[[1, 4], [2, 3], [3, 5], [4, 1], [5, 1], [6, 1]], 359/2687385600], [[[1, 4], [2, 3], [3, 5], [4, 1], [6, 1], [8, 1]], 1549/8599633920], [[[1, 4], [2, 3], [3, 5], [4, 1], [6, 1], [10, 1]], 77/2687385600], [[[1, 4], [2, 3], [3, 5], [4, 1], [6, 1], [12, 1]], 2627/6449725440], [[[1, 4], [2, 3], [4, 1], [5, 1], [6, 2], [8, 2]], 13/4423680], [[[1, 4], [2, 3], [4, 1], [5, 1], [6, 2], [10, 2]], 1/552960], [[[1, 4], [2, 3], [4, 1], [5, 1], [6, 2], [12, 2]], 29/6635520], [[[1, 4], [2, 3], [4, 1], [5, 1], [6, 2], [15, 1]], 1/691200], [[[1, 4], [2, 3], [4, 1], [5, 1], [6, 2], [20, 1]], 1/460800], [[[1, 4], [2, 3], [4, 1], [5, 1], [6, 2], [24, 1]], 1/552960], [[[1, 4], [2, 3], [4, 1], [5, 1], [6, 2], [30, 1]], 1/691200], [[[1, 4], [2, 3], [4, 1], [5, 1], [6, 3], [7, 1]], 1/2488320], [[[1, 4], [2, 3], [4, 1], [5, 1], [6, 3], [9, 1]], 13/67184640], [[[1, 4], [2, 3], [4, 1], [5, 1], [6, 3], [14, 1]], 1/5806080], [[[1, 4], [2, 3], [4, 1], [5, 1], [6, 3], [18, 1]], 7/7464960], [[[1, 4], [2, 3], [4, 1], [5, 1], [6, 4], [8, 1]], 2573/23887872000], [[[1, 4], [2, 3], [4, 1], [5, 1], [6, 4], [10, 1]], 1/10368000], [[[1, 4], [2, 3], [4, 1], [5, 1], [6, 4], [12, 1]], 91/358318080], [[[1, 4], [2, 3], [4, 1], [5, 1], [7, 1], [9, 1]], 1/34560], [[[1, 4], [2, 3], [4, 1], [5, 1], [7, 1], [14, 1]], 43/94080], [[[1, 4], [2, 3], [4, 1], [5, 1], [7, 1], [18, 1]], 1/34560], [[[1, 4], [2, 3], [4, 1], [5, 1], [8, 1], [10, 2]], 7373/92160000], [[[1, 4], [2, 3], [4, 1], [5, 1], [8, 1], [12, 2]], 173/44236800], [[[1, 4], [2, 3], [4, 1], [5, 1], [8, 1], [15, 1]], 173/4608000], [[[1, 4], [2, 3], [4, 1], [5, 1], [8, 1], [16, 1]], 7/15360], [[[1, 4], [2, 3], [4, 1], [5, 1], [8, 1], [20, 1]], 191/1024000], [[[1, 4], [2, 3], [4, 1], [5, 1], [8, 1], [24, 1]], 973/3686400], [[[1, 4], [2, 3], [4, 1], [5, 1], [8, 1], [30, 1]], 173/4608000], [[[1, 4], [2, 3], [4, 1], [5, 1], [8, 2], [10, 1]], 13/102400], [[[1, 4], [2, 3], [4, 1], [5, 1], [8, 2], [12, 1]], 1/442368], [[[1, 4], [2, 3], [4, 1], [5, 1], [9, 1], [14, 1]], 1/48384], [[[1, 4], [2, 3], [4, 1], [5, 1], [9, 1], [18, 1]], 101/466560], [[[1, 4], [2, 3], [4, 1], [5, 1], [10, 1], [12, 2]], 1/115200], [[[1, 4], [2, 3], [4, 1], [5, 1], [10, 1], [15, 1]], 1/12000], [[[1, 4], [2, 3], [4, 1], [5, 1], [10, 1], [20, 1]], 1/8000], [[[1, 4], [2, 3], [4, 1], [5, 1], [10, 1], [24, 1]], 1/9600], [[[1, 4], [2, 3], [4, 1], [5, 1], [10, 1], [30, 1]], 1/12000], [[[1, 4], [2, 3], [4, 1], [5, 1], [10, 2], [12, 1]], 1/1382400], [[[1, 4], [2, 3], [4, 1], [5, 1], [12, 1], [15, 1]], 1/69120], [[[1, 4], [2, 3], [4, 1], [5, 1], [12, 1], [16, 1]], 1/9216], [[[1, 4], [2, 3], [4, 1], [5, 1], [12, 1], [20, 1]], 1/9216], [[[1, 4], [2, 3], [4, 1], [5, 1], [12, 1], [24, 1]], 7/55296], [[[1, 4], [2, 3], [4, 1], [5, 1], [12, 1], [30, 1]], 1/69120], [[[1, 4], [2, 3], [4, 1], [5, 1], [14, 1], [18, 1]], 1/80640], [[[1, 4], [2, 3], [4, 1], [5, 2], [6, 1], [7, 1]], 1/1209600], [[[1, 4], [2, 3], [4, 1], [5, 2], [6, 1], [9, 1]], 1/2488320], [[[1, 4], [2, 3], [4, 1], [5, 2], [6, 1], [14, 1]], 1/2419200], [[[1, 4], [2, 3], [4, 1], [5, 2], [6, 1], [18, 1]], 1553/298598400], [[[1, 4], [2, 3], [4, 1], [5, 2], [6, 2], [8, 1]], 7/14745600], [[[1, 4], [2, 3], [4, 1], [5, 2], [6, 2], [10, 1]], 11/41472000], [[[1, 4], [2, 3], [4, 1], [5, 2], [6, 2], [12, 1]], 2009/1592524800], [[[1, 4], [2, 3], [4, 1], [5, 2], [8, 1], [10, 1]], 4849/36864000], [[[1, 4], [2, 3], [4, 1], [5, 2], [8, 1], [12, 1]], 1/737280], [[[1, 4], [2, 3], [4, 1], [5, 2], [10, 1], [12, 1]], 1/2304000], [[[1, 4], [2, 3], [4, 1], [6, 1], [7, 1], [8, 2]], 103/1548288], [[[1, 4], [2, 3], [4, 1], [6, 1], [7, 1], [10, 2]], 1/43200], [[[1, 4], [2, 3], [4, 1], [6, 1], [7, 1], [12, 2]], 11/290304], [[[1, 4], [2, 3], [4, 1], [6, 1], [7, 1], [15, 1]], 1/60480], [[[1, 4], [2, 3], [4, 1], [6, 1], [7, 1], [20, 1]], 1/40320], [[[1, 4], [2, 3], [4, 1], [6, 1], [7, 1], [24, 1]], 1/48384], [[[1, 4], [2, 3], [4, 1], [6, 1], [7, 1], [30, 1]], 1/60480], [[[1, 4], [2, 3], [4, 1], [6, 1], [8, 2], [9, 1]], 137/3981312], [[[1, 4], [2, 3], [4, 1], [6, 1], [8, 2], [14, 1]], 1/27648], [[[1, 4], [2, 3], [4, 1], [6, 1], [8, 2], [18, 1]], 4253/95551488], [[[1, 4], [2, 3], [4, 1], [6, 1], [9, 1], [10, 2]], 5/497664], [[[1, 4], [2, 3], [4, 1], [6, 1], [9, 1], [12, 2]], 109/5971968], [[[1, 4], [2, 3], [4, 1], [6, 1], [9, 1], [15, 1]], 1/124416], [[[1, 4], [2, 3], [4, 1], [6, 1], [9, 1], [20, 1]], 1/82944], [[[1, 4], [2, 3], [4, 1], [6, 1], [9, 1], [24, 1]], 5/497664], [[[1, 4], [2, 3], [4, 1], [6, 1], [9, 1], [30, 1]], 1/124416], [[[1, 4], [2, 3], [4, 1], [6, 1], [10, 2], [14, 1]], 19/2419200], [[[1, 4], [2, 3], [4, 1], [6, 1], [10, 2], [18, 1]], 541/59719680], [[[1, 4], [2, 3], [4, 1], [6, 1], [12, 2], [14, 1]], 19/1161216], [[[1, 4], [2, 3], [4, 1], [6, 1], [12, 2], [18, 1]], 1841/143327232], [[[1, 4], [2, 3], [4, 1], [6, 1], [14, 1], [15, 1]], 1/120960], [[[1, 4], [2, 3], [4, 1], [6, 1], [14, 1], [20, 1]], 1/80640], [[[1, 4], [2, 3], [4, 1], [6, 1], [14, 1], [24, 1]], 1/96768], [[[1, 4], [2, 3], [4, 1], [6, 1], [14, 1], [30, 1]], 1/120960], [[[1, 4], [2, 3], [4, 1], [6, 1], [15, 1], [18, 1]], 113/14929920], [[[1, 4], [2, 3], [4, 1], [6, 1], [16, 1], [18, 1]], 1/82944], [[[1, 4], [2, 3], [4, 1], [6, 1], [18, 1], [20, 1]], 113/9953280], [[[1, 4], [2, 3], [4, 1], [6, 1], [18, 1], [24, 1]], 113/11943936], [[[1, 4], [2, 3], [4, 1], [6, 1], [18, 1], [30, 1]], 113/14929920], [[[1, 4], [2, 3], [4, 1], [6, 2], [7, 1], [14, 1]], 1/32256], [[[1, 4], [2, 3], [4, 1], [6, 2], [7, 1], [18, 1]], 1/108864], [[[1, 4], [2, 3], [4, 1], [6, 2], [8, 1], [10, 2]], 7/589824], [[[1, 4], [2, 3], [4, 1], [6, 2], [8, 1], [12, 2]], 161/7077888], [[[1, 4], [2, 3], [4, 1], [6, 2], [8, 1], [15, 1]], 7/737280], [[[1, 4], [2, 3], [4, 1], [6, 2], [8, 1], [16, 1]], 5/73728], [[[1, 4], [2, 3], [4, 1], [6, 2], [8, 1], [20, 1]], 53/1474560], [[[1, 4], [2, 3], [4, 1], [6, 2], [8, 1], [24, 1]], 85/1769472], [[[1, 4], [2, 3], [4, 1], [6, 2], [8, 1], [30, 1]], 7/737280], [[[1, 4], [2, 3], [4, 1], [6, 2], [8, 2], [10, 1]], 263/13271040], [[[1, 4], [2, 3], [4, 1], [6, 2], [8, 2], [12, 1]], 14357/509607936], [[[1, 4], [2, 3], [4, 1], [6, 2], [9, 1], [18, 1]], 1/34992], [[[1, 4], [2, 3], [4, 1], [6, 2], [10, 1], [12, 2]], 227/19906560], [[[1, 4], [2, 3], [4, 1], [6, 2], [10, 1], [15, 1]], 11/2073600], [[[1, 4], [2, 3], [4, 1], [6, 2], [10, 1], [20, 1]], 11/1382400], [[[1, 4], [2, 3], [4, 1], [6, 2], [10, 1], [24, 1]], 11/1658880], [[[1, 4], [2, 3], [4, 1], [6, 2], [10, 1], [30, 1]], 11/2073600], [[[1, 4], [2, 3], [4, 1], [6, 2], [10, 2], [12, 1]], 12953/1592524800], [[[1, 4], [2, 3], [4, 1], [6, 2], [12, 1], [15, 1]], 569/79626240], [[[1, 4], [2, 3], [4, 1], [6, 2], [12, 1], [16, 1]], 1/49152], [[[1, 4], [2, 3], [4, 1], [6, 2], [12, 1], [20, 1]], 1337/53084160], [[[1, 4], [2, 3], [4, 1], [6, 2], [12, 1], [24, 1]], 1721/63700992], [[[1, 4], [2, 3], [4, 1], [6, 2], [12, 1], [30, 1]], 569/79626240], [[[1, 4], [2, 3], [4, 1], [6, 2], [14, 1], [18, 1]], 1/217728], [[[1, 4], [2, 3], [4, 1], [6, 3], [7, 1], [8, 1]], 13/9289728], [[[1, 4], [2, 3], [4, 1], [6, 3], [7, 1], [10, 1]], 1/2488320], [[[1, 4], [2, 3], [4, 1], [6, 3], [7, 1], [12, 1]], 25/10450944], [[[1, 4], [2, 3], [4, 1], [6, 3], [8, 1], [9, 1]], 73/107495424], [[[1, 4], [2, 3], [4, 1], [6, 3], [8, 1], [14, 1]], 37/55738368], [[[1, 4], [2, 3], [4, 1], [6, 3], [8, 1], [18, 1]], 413/71663616], [[[1, 4], [2, 3], [4, 1], [6, 3], [9, 1], [10, 1]], 13/67184640], [[[1, 4], [2, 3], [4, 1], [6, 3], [9, 1], [12, 1]], 187/161243136], [[[1, 4], [2, 3], [4, 1], [6, 3], [10, 1], [14, 1]], 1/5806080], [[[1, 4], [2, 3], [4, 1], [6, 3], [10, 1], [18, 1]], 23/7464960], [[[1, 4], [2, 3], [4, 1], [6, 3], [12, 1], [14, 1]], 1/870912], [[[1, 4], [2, 3], [4, 1], [6, 3], [12, 1], [18, 1]], 689/143327232], [[[1, 4], [2, 3], [4, 1], [6, 4], [8, 1], [10, 1]], 49/117964800], [[[1, 4], [2, 3], [4, 1], [6, 4], [8, 1], [12, 1]], 73/47775744], [[[1, 4], [2, 3], [4, 1], [6, 4], [10, 1], [12, 1]], 157/199065600], [[[1, 4], [2, 3], [4, 1], [7, 1], [8, 1], [9, 1]], 13/129024], [[[1, 4], [2, 3], [4, 1], [7, 1], [8, 1], [14, 1]], 331/301056], [[[1, 4], [2, 3], [4, 1], [7, 1], [8, 1], [18, 1]], 13/129024], [[[1, 4], [2, 3], [4, 1], [7, 1], [9, 1], [10, 1]], 1/34560], [[[1, 4], [2, 3], [4, 1], [7, 1], [9, 1], [12, 1]], 1/20736], [[[1, 4], [2, 3], [4, 1], [7, 1], [10, 1], [14, 1]], 3/7840], [[[1, 4], [2, 3], [4, 1], [7, 1], [10, 1], [18, 1]], 1/34560], [[[1, 4], [2, 3], [4, 1], [7, 1], [12, 1], [14, 1]], 17/37632], [[[1, 4], [2, 3], [4, 1], [7, 1], [12, 1], [18, 1]], 1/20736], [[[1, 4], [2, 3], [4, 1], [8, 1], [9, 1], [14, 1]], 29/387072], [[[1, 4], [2, 3], [4, 1], [8, 1], [9, 1], [18, 1]], 559/1492992], [[[1, 4], [2, 3], [4, 1], [8, 1], [10, 1], [12, 2]], 49/17694720], [[[1, 4], [2, 3], [4, 1], [8, 1], [10, 1], [15, 1]], 49/1843200], [[[1, 4], [2, 3], [4, 1], [8, 1], [10, 1], [16, 1]], 3/10240], [[[1, 4], [2, 3], [4, 1], [8, 1], [10, 1], [20, 1]], 29/245760], [[[1, 4], [2, 3], [4, 1], [8, 1], [10, 1], [24, 1]], 241/1474560], [[[1, 4], [2, 3], [4, 1], [8, 1], [10, 1], [30, 1]], 49/1843200], [[[1, 4], [2, 3], [4, 1], [8, 1], [10, 2], [12, 1]], 1/737280], [[[1, 4], [2, 3], [4, 1], [8, 1], [12, 1], [15, 1]], 1/36864], [[[1, 4], [2, 3], [4, 1], [8, 1], [12, 1], [16, 1]], 13/73728], [[[1, 4], [2, 3], [4, 1], [8, 1], [12, 1], [20, 1]], 43/368640], [[[1, 4], [2, 3], [4, 1], [8, 1], [12, 1], [24, 1]], 19/147456], [[[1, 4], [2, 3], [4, 1], [8, 1], [12, 1], [30, 1]], 1/36864], [[[1, 4], [2, 3], [4, 1], [8, 1], [14, 1], [18, 1]], 37/774144], [[[1, 4], [2, 3], [4, 1], [8, 2], [10, 1], [12, 1]], 1/737280], [[[1, 4], [2, 3], [4, 1], [9, 1], [10, 1], [14, 1]], 1/48384], [[[1, 4], [2, 3], [4, 1], [9, 1], [10, 1], [18, 1]], 37/233280], [[[1, 4], [2, 3], [4, 1], [9, 1], [12, 1], [14, 1]], 5/145152], [[[1, 4], [2, 3], [4, 1], [9, 1], [12, 1], [18, 1]], 67/559872], [[[1, 4], [2, 3], [4, 1], [10, 1], [12, 1], [15, 1]], 1/115200], [[[1, 4], [2, 3], [4, 1], [10, 1], [12, 1], [16, 1]], 1/15360], [[[1, 4], [2, 3], [4, 1], [10, 1], [12, 1], [20, 1]], 1/15360], [[[1, 4], [2, 3], [4, 1], [10, 1], [12, 1], [24, 1]], 7/92160], [[[1, 4], [2, 3], [4, 1], [10, 1], [12, 1], [30, 1]], 1/115200], [[[1, 4], [2, 3], [4, 1], [10, 1], [14, 1], [18, 1]], 1/80640], [[[1, 4], [2, 3], [4, 1], [12, 1], [14, 1], [18, 1]], 1/48384], [[[1, 4], [2, 3], [4, 2], [5, 1], [6, 1], [8, 2]], 6161/265420800], [[[1, 4], [2, 3], [4, 2], [5, 1], [6, 1], [10, 2]], 47741/829440000], [[[1, 4], [2, 3], [4, 2], [5, 1], [6, 1], [12, 2]], 5917/398131200], [[[1, 4], [2, 3], [4, 2], [5, 1], [6, 1], [15, 1]], 221/41472000], [[[1, 4], [2, 3], [4, 2], [5, 1], [6, 1], [20, 1]], 221/27648000], [[[1, 4], [2, 3], [4, 2], [5, 1], [6, 1], [24, 1]], 221/33177600], [[[1, 4], [2, 3], [4, 2], [5, 1], [6, 1], [30, 1]], 221/41472000], [[[1, 4], [2, 3], [4, 2], [5, 1], [6, 2], [18, 1]], 221/74649600], [[[1, 4], [2, 3], [4, 2], [5, 1], [6, 3], [8, 1]], 17/39813120], [[[1, 4], [2, 3], [4, 2], [5, 1], [6, 3], [10, 1]], 11/8294400], [[[1, 4], [2, 3], [4, 2], [5, 1], [6, 3], [12, 1]], 1763/2149908480], [[[1, 4], [2, 3], [4, 2], [5, 1], [7, 1], [8, 1]], 11/143360], [[[1, 4], [2, 3], [4, 2], [5, 1], [7, 1], [10, 1]], 11/44800], [[[1, 4], [2, 3], [4, 2], [5, 1], [7, 1], [12, 1]], 11/241920], [[[1, 4], [2, 3], [4, 2], [5, 1], [8, 1], [9, 1]], 11/276480], [[[1, 4], [2, 3], [4, 2], [5, 1], [8, 1], [14, 1]], 3/71680], [[[1, 4], [2, 3], [4, 2], [5, 1], [8, 1], [18, 1]], 17/552960], [[[1, 4], [2, 3], [4, 2], [5, 1], [9, 1], [10, 1]], 11/86400], [[[1, 4], [2, 3], [4, 2], [5, 1], [9, 1], [12, 1]], 1/41472], [[[1, 4], [2, 3], [4, 2], [5, 1], [10, 1], [14, 1]], 11/89600], [[[1, 4], [2, 3], [4, 2], [5, 1], [10, 1], [18, 1]], 11/115200], [[[1, 4], [2, 3], [4, 2], [5, 1], [12, 1], [14, 1]], 1/38400], [[[1, 4], [2, 3], [4, 2], [5, 1], [12, 1], [18, 1]], 89/4665600], [[[1, 4], [2, 3], [4, 2], [5, 2], [6, 1], [8, 1]], 2297/530841600], [[[1, 4], [2, 3], [4, 2], [5, 2], [6, 1], [10, 1]], 3979/1327104000], [[[1, 4], [2, 3], [4, 2], [5, 2], [6, 1], [12, 1]], 36949/9555148800], [[[1, 4], [2, 3], [4, 2], [6, 1], [7, 1], [9, 1]], 5/3483648], [[[1, 4], [2, 3], [4, 2], [6, 1], [7, 1], [14, 1]], 11/100352], [[[1, 4], [2, 3], [4, 2], [6, 1], [7, 1], [18, 1]], 11/1548288], [[[1, 4], [2, 3], [4, 2], [6, 1], [8, 1], [10, 2]], 2533/106168320], [[[1, 4], [2, 3], [4, 2], [6, 1], [8, 1], [12, 2]], 31801/254803968], [[[1, 4], [2, 3], [4, 2], [6, 1], [8, 1], [15, 1]], 569/26542080], [[[1, 4], [2, 3], [4, 2], [6, 1], [8, 1], [16, 1]], 1141/3538944], [[[1, 4], [2, 3], [4, 2], [6, 1], [8, 1], [20, 1]], 613/3538944], [[[1, 4], [2, 3], [4, 2], [6, 1], [8, 1], [24, 1]], 3257/21233664], [[[1, 4], [2, 3], [4, 2], [6, 1], [8, 1], [30, 1]], 569/26542080], [[[1, 4], [2, 3], [4, 2], [6, 1], [8, 2], [10, 1]], 41023/424673280], [[[1, 4], [2, 3], [4, 2], [6, 1], [8, 2], [12, 1]], 561697/3057647616], [[[1, 4], [2, 3], [4, 2], [6, 1], [9, 1], [14, 1]], 1/3483648], [[[1, 4], [2, 3], [4, 2], [6, 1], [9, 1], [18, 1]], 787/8957952], [[[1, 4], [2, 3], [4, 2], [6, 1], [10, 1], [12, 2]], 22411/637009920], [[[1, 4], [2, 3], [4, 2], [6, 1], [10, 1], [15, 1]], 523/66355200], [[[1, 4], [2, 3], [4, 2], [6, 1], [10, 1], [16, 1]], 1/15360], [[[1, 4], [2, 3], [4, 2], [6, 1], [10, 1], [20, 1]], 2827/44236800], [[[1, 4], [2, 3], [4, 2], [6, 1], [10, 1], [24, 1]], 523/53084160], [[[1, 4], [2, 3], [4, 2], [6, 1], [10, 1], [30, 1]], 523/66355200], [[[1, 4], [2, 3], [4, 2], [6, 1], [10, 2], [12, 1]], 133717/9555148800], [[[1, 4], [2, 3], [4, 2], [6, 1], [12, 1], [15, 1]], 1169/95551488], [[[1, 4], [2, 3], [4, 2], [6, 1], [12, 1], [16, 1]], 1/6912], [[[1, 4], [2, 3], [4, 2], [6, 1], [12, 1], [20, 1]], 9041/63700992], [[[1, 4], [2, 3], [4, 2], [6, 1], [12, 1], [24, 1]], 31285/382205952], [[[1, 4], [2, 3], [4, 2], [6, 1], [12, 1], [30, 1]], 1169/95551488], [[[1, 4], [2, 3], [4, 2], [6, 1], [14, 1], [18, 1]], 187/55738368], [[[1, 4], [2, 3], [4, 2], [6, 2], [7, 1], [8, 1]], 1/1548288], [[[1, 4], [2, 3], [4, 2], [6, 2], [7, 1], [10, 1]], 1/1935360], [[[1, 4], [2, 3], [4, 2], [6, 2], [7, 1], [12, 1]], 131/31850496], [[[1, 4], [2, 3], [4, 2], [6, 2], [8, 1], [9, 1]], 1/5971968], [[[1, 4], [2, 3], [4, 2], [6, 2], [8, 1], [18, 1]], 569/47775744], [[[1, 4], [2, 3], [4, 2], [6, 2], [9, 1], [10, 1]], 1/7464960], [[[1, 4], [2, 3], [4, 2], [6, 2], [9, 1], [12, 1]], 781/429981696], [[[1, 4], [2, 3], [4, 2], [6, 2], [10, 1], [18, 1]], 523/119439360], [[[1, 4], [2, 3], [4, 2], [6, 2], [12, 1], [14, 1]], 443/297271296], [[[1, 4], [2, 3], [4, 2], [6, 2], [12, 1], [18, 1]], 27289/3439853568], [[[1, 4], [2, 3], [4, 2], [6, 3], [8, 1], [10, 1]], 17/39813120], [[[1, 4], [2, 3], [4, 2], [6, 3], [8, 1], [12, 1]], 30979/6879707136], [[[1, 4], [2, 3], [4, 2], [6, 3], [10, 1], [12, 1]], 557/382205952], [[[1, 4], [2, 3], [4, 2], [7, 1], [8, 1], [10, 1]], 11/143360], [[[1, 4], [2, 3], [4, 2], [7, 1], [8, 1], [12, 1]], 125/387072], [[[1, 4], [2, 3], [4, 2], [7, 1], [10, 1], [12, 1]], 11/241920], [[[1, 4], [2, 3], [4, 2], [8, 1], [9, 1], [10, 1]], 11/276480], [[[1, 4], [2, 3], [4, 2], [8, 1], [9, 1], [12, 1]], 125/746496], [[[1, 4], [2, 3], [4, 2], [8, 1], [10, 1], [14, 1]], 3/71680], [[[1, 4], [2, 3], [4, 2], [8, 1], [10, 1], [18, 1]], 17/552960], [[[1, 4], [2, 3], [4, 2], [8, 1], [12, 1], [14, 1]], 65/387072], [[[1, 4], [2, 3], [4, 2], [8, 1], [12, 1], [18, 1]], 95/746496], [[[1, 4], [2, 3], [4, 2], [9, 1], [10, 1], [12, 1]], 43/1866240], [[[1, 4], [2, 3], [4, 2], [10, 1], [12, 1], [14, 1]], 1/46080], [[[1, 4], [2, 3], [4, 2], [10, 1], [12, 1], [18, 1]], 7/414720], [[[1, 4], [2, 3], [4, 3], [5, 1], [6, 1], [7, 1]], 1/1290240], [[[1, 4], [2, 3], [4, 3], [5, 1], [6, 1], [9, 1]], 1/4976640], [[[1, 4], [2, 3], [4, 3], [5, 1], [6, 1], [18, 1]], 97/39813120], [[[1, 4], [2, 3], [4, 3], [5, 1], [6, 2], [12, 1]], 5/4718592], [[[1, 4], [2, 3], [4, 3], [5, 1], [8, 1], [10, 1]], 871/2457600], [[[1, 4], [2, 3], [4, 3], [5, 1], [8, 1], [12, 1]], 211/1382400], [[[1, 4], [2, 3], [4, 3], [5, 1], [10, 1], [12, 1]], 41/230400], [[[1, 4], [2, 3], [4, 3], [6, 1], [7, 1], [8, 1]], 1/258048], [[[1, 4], [2, 3], [4, 3], [6, 1], [7, 1], [10, 1]], 1/516096], [[[1, 4], [2, 3], [4, 3], [6, 1], [7, 1], [12, 1]], 173/18579456], [[[1, 4], [2, 3], [4, 3], [6, 1], [8, 1], [9, 1]], 11/7962624], [[[1, 4], [2, 3], [4, 3], [6, 1], [8, 1], [14, 1]], 1/1376256], [[[1, 4], [2, 3], [4, 3], [6, 1], [8, 1], [18, 1]], 6991/254803968], [[[1, 4], [2, 3], [4, 3], [6, 1], [9, 1], [10, 1]], 7/9953280], [[[1, 4], [2, 3], [4, 3], [6, 1], [9, 1], [12, 1]], 101/23887872], [[[1, 4], [2, 3], [4, 3], [6, 1], [10, 1], [14, 1]], 1/2580480], [[[1, 4], [2, 3], [4, 3], [6, 1], [10, 1], [18, 1]], 7/2654208], [[[1, 4], [2, 3], [4, 3], [6, 1], [12, 1], [14, 1]], 73/18579456], [[[1, 4], [2, 3], [4, 3], [6, 1], [12, 1], [18, 1]], 545/35831808], [[[1, 4], [2, 3], [4, 3], [6, 2], [8, 1], [10, 1]], 1/2949120], [[[1, 4], [2, 3], [4, 3], [6, 2], [8, 1], [12, 1]], 18943/1358954496], [[[1, 4], [2, 3], [4, 3], [6, 2], [10, 1], [12, 1]], 1831/637009920], [[[1, 4], [2, 3], [4, 3], [8, 1], [10, 1], [12, 1]], 607/4423680], [[[1, 4], [2, 3], [4, 4], [5, 1], [6, 1], [8, 1]], 109/212336640], [[[1, 4], [2, 3], [4, 4], [5, 1], [6, 1], [10, 1]], 17/61440000], [[[1, 4], [2, 3], [4, 4], [5, 1], [6, 1], [12, 1]], 20423/7962624000], [[[1, 4], [2, 3], [4, 4], [6, 1], [8, 1], [10, 1]], 7387/1061683200], [[[1, 4], [2, 3], [4, 4], [6, 1], [8, 1], [12, 1]], 97111/2548039680], [[[1, 4], [2, 3], [4, 4], [6, 1], [10, 1], [12, 1]], 24509/3185049600], [[[1, 4], [2, 3], [5, 1], [6, 1], [7, 1], [18, 1]], 1/90720], [[[1, 4], [2, 3], [5, 1], [6, 1], [8, 1], [10, 2]], 1/2764800], [[[1, 4], [2, 3], [5, 1], [6, 1], [8, 1], [12, 2]], 1/1327104], [[[1, 4], [2, 3], [5, 1], [6, 1], [8, 1], [15, 1]], 1/138240], [[[1, 4], [2, 3], [5, 1], [6, 1], [8, 1], [20, 1]], 1/92160], [[[1, 4], [2, 3], [5, 1], [6, 1], [8, 1], [24, 1]], 1/110592], [[[1, 4], [2, 3], [5, 1], [6, 1], [8, 1], [30, 1]], 1/138240], [[[1, 4], [2, 3], [5, 1], [6, 1], [8, 2], [10, 1]], 1/768000], [[[1, 4], [2, 3], [5, 1], [6, 1], [8, 2], [12, 1]], 43/33177600], [[[1, 4], [2, 3], [5, 1], [6, 1], [9, 1], [18, 1]], 1/155520], [[[1, 4], [2, 3], [5, 1], [6, 1], [10, 1], [12, 2]], 1/1152000], [[[1, 4], [2, 3], [5, 1], [6, 1], [10, 1], [15, 1]], 1/120000], [[[1, 4], [2, 3], [5, 1], [6, 1], [10, 1], [20, 1]], 1/80000], [[[1, 4], [2, 3], [5, 1], [6, 1], [10, 1], [24, 1]], 1/96000], [[[1, 4], [2, 3], [5, 1], [6, 1], [10, 1], [30, 1]], 1/120000], [[[1, 4], [2, 3], [5, 1], [6, 1], [10, 2], [12, 1]], 43/103680000], [[[1, 4], [2, 3], [5, 1], [6, 1], [12, 1], [15, 1]], 43/5184000], [[[1, 4], [2, 3], [5, 1], [6, 1], [12, 1], [20, 1]], 43/3456000], [[[1, 4], [2, 3], [5, 1], [6, 1], [12, 1], [24, 1]], 43/4147200], [[[1, 4], [2, 3], [5, 1], [6, 1], [12, 1], [30, 1]], 43/5184000], [[[1, 4], [2, 3], [5, 1], [6, 1], [14, 1], [18, 1]], 1/100800], [[[1, 4], [2, 3], [5, 1], [6, 2], [7, 1], [12, 1]], 1/483840], [[[1, 4], [2, 3], [5, 1], [6, 2], [8, 1], [18, 1]], 1/248832], [[[1, 4], [2, 3], [5, 1], [6, 2], [9, 1], [12, 1]], 1/829440], [[[1, 4], [2, 3], [5, 1], [6, 2], [10, 1], [18, 1]], 1/216000], [[[1, 4], [2, 3], [5, 1], [6, 2], [12, 1], [14, 1]], 1/537600], [[[1, 4], [2, 3], [5, 1], [6, 2], [12, 1], [18, 1]], 43/7464960], [[[1, 4], [2, 3], [5, 1], [6, 3], [8, 1], [12, 1]], 1/1327104], [[[1, 4], [2, 3], [5, 1], [6, 3], [10, 1], [12, 1]], 1/1152000], [[[1, 4], [2, 3], [5, 2], [6, 1], [8, 1], [10, 1]], 7/13824000], [[[1, 4], [2, 3], [5, 2], [6, 1], [8, 1], [12, 1]], 11/33177600], [[[1, 4], [2, 3], [5, 2], [6, 1], [10, 1], [12, 1]], 1/4608000], [[[1, 4], [2, 3], [6, 1], [7, 1], [8, 1], [9, 1]], 1/41472], [[[1, 4], [2, 3], [6, 1], [7, 1], [8, 1], [14, 1]], 17/75264], [[[1, 4], [2, 3], [6, 1], [7, 1], [8, 1], [18, 1]], 1/27648], [[[1, 4], [2, 3], [6, 1], [7, 1], [9, 1], [10, 1]], 1/30240], [[[1, 4], [2, 3], [6, 1], [7, 1], [9, 1], [12, 1]], 13/435456], [[[1, 4], [2, 3], [6, 1], [7, 1], [10, 1], [14, 1]], 3/15680], [[[1, 4], [2, 3], [6, 1], [7, 1], [10, 1], [18, 1]], 1/25920], [[[1, 4], [2, 3], [6, 1], [7, 1], [12, 1], [14, 1]], 13/56448], [[[1, 4], [2, 3], [6, 1], [7, 1], [12, 1], [18, 1]], 1/36288], [[[1, 4], [2, 3], [6, 1], [8, 1], [9, 1], [14, 1]], 5/290304], [[[1, 4], [2, 3], [6, 1], [8, 1], [9, 1], [18, 1]], 37/559872], [[[1, 4], [2, 3], [6, 1], [8, 1], [10, 1], [12, 2]], 7/6635520], [[[1, 4], [2, 3], [6, 1], [8, 1], [10, 1], [15, 1]], 7/691200], [[[1, 4], [2, 3], [6, 1], [8, 1], [10, 1], [16, 1]], 1/30720], [[[1, 4], [2, 3], [6, 1], [8, 1], [10, 1], [20, 1]], 7/460800], [[[1, 4], [2, 3], [6, 1], [8, 1], [10, 1], [24, 1]], 7/552960], [[[1, 4], [2, 3], [6, 1], [8, 1], [10, 1], [30, 1]], 7/691200], [[[1, 4], [2, 3], [6, 1], [8, 1], [10, 2], [12, 1]], 11/33177600], [[[1, 4], [2, 3], [6, 1], [8, 1], [12, 1], [15, 1]], 11/1658880], [[[1, 4], [2, 3], [6, 1], [8, 1], [12, 1], [16, 1]], 1/24576], [[[1, 4], [2, 3], [6, 1], [8, 1], [12, 1], [20, 1]], 11/1105920], [[[1, 4], [2, 3], [6, 1], [8, 1], [12, 1], [24, 1]], 11/1327104], [[[1, 4], [2, 3], [6, 1], [8, 1], [12, 1], [30, 1]], 11/1658880], [[[1, 4], [2, 3], [6, 1], [8, 1], [14, 1], [18, 1]], 5/290304], [[[1, 4], [2, 3], [6, 1], [8, 2], [10, 1], [12, 1]], 1/1474560], [[[1, 4], [2, 3], [6, 1], [9, 1], [10, 1], [14, 1]], 1/60480], [[[1, 4], [2, 3], [6, 1], [9, 1], [10, 1], [18, 1]], 77/1399680], [[[1, 4], [2, 3], [6, 1], [9, 1], [12, 1], [14, 1]], 1/54432], [[[1, 4], [2, 3], [6, 1], [9, 1], [12, 1], [18, 1]], 17/279936], [[[1, 4], [2, 3], [6, 1], [10, 1], [12, 1], [15, 1]], 1/230400], [[[1, 4], [2, 3], [6, 1], [10, 1], [12, 1], [20, 1]], 1/153600], [[[1, 4], [2, 3], [6, 1], [10, 1], [12, 1], [24, 1]], 1/184320], [[[1, 4], [2, 3], [6, 1], [10, 1], [12, 1], [30, 1]], 1/230400], [[[1, 4], [2, 3], [6, 1], [10, 1], [14, 1], [18, 1]], 1/80640], [[[1, 4], [2, 3], [6, 1], [12, 1], [14, 1], [18, 1]], 1/96768], [[[1, 4], [2, 3], [6, 2], [7, 1], [8, 1], [10, 1]], 1/53760], [[[1, 4], [2, 3], [6, 2], [7, 1], [8, 1], [12, 1]], 1/49152], [[[1, 4], [2, 3], [6, 2], [7, 1], [10, 1], [12, 1]], 11/483840], [[[1, 4], [2, 3], [6, 2], [8, 1], [9, 1], [10, 1]], 1/124416], [[[1, 4], [2, 3], [6, 2], [8, 1], [9, 1], [12, 1]], 59/5971968], [[[1, 4], [2, 3], [6, 2], [8, 1], [10, 1], [14, 1]], 1/161280], [[[1, 4], [2, 3], [6, 2], [8, 1], [10, 1], [18, 1]], 13/1244160], [[[1, 4], [2, 3], [6, 2], [8, 1], [12, 1], [14, 1]], 1/110592], [[[1, 4], [2, 3], [6, 2], [8, 1], [12, 1], [18, 1]], 127/11943936], [[[1, 4], [2, 3], [6, 2], [9, 1], [10, 1], [12, 1]], 71/7464960], [[[1, 4], [2, 3], [6, 2], [10, 1], [12, 1], [14, 1]], 1/143360], [[[1, 4], [2, 3], [6, 2], [10, 1], [12, 1], [18, 1]], 13/1658880], [[[1, 4], [2, 3], [6, 3], [8, 1], [10, 1], [12, 1]], 31/6635520], [[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [6, 4]], 570503/859963392000], [[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [8, 2]], 12841/353894400], [[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [10, 2]], 7213/1105920000], [[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [12, 2]], 3181/530841600], [[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [15, 1]], 301/55296000], [[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [16, 1]], 1/92160], [[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [20, 1]], 301/36864000], [[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [24, 1]], 301/44236800], [[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [30, 1]], 301/55296000], [[[1, 4], [2, 5], [3, 1], [4, 1], [5, 2], [6, 2]], 137933/47775744000], [[[1, 4], [2, 5], [3, 1], [4, 1], [5, 2], [8, 1]], 3893/212336640], [[[1, 4], [2, 5], [3, 1], [4, 1], [5, 2], [10, 1]], 72749/1658880000], [[[1, 4], [2, 5], [3, 1], [4, 1], [5, 2], [12, 1]], 61813/7962624000], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 2], [8, 2]], 1275593/15288238080], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 2], [10, 2]], 1113869/47775744000], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 2], [12, 2]], 1997131/22932357120], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 2], [15, 1]], 27533/2388787200], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 2], [16, 1]], 7/442368], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 2], [20, 1]], 27533/1592524800], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 2], [24, 1]], 105293/1911029760], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 2], [30, 1]], 27533/2388787200], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 3], [7, 1]], 919/250822656], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 3], [9, 1]], 47/15116544], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 3], [14, 1]], 7/1492992], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 3], [18, 1]], 115879/12899450880], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 4], [8, 1]], 126913/30576476160], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 4], [10, 1]], 1190861/429981696000], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 4], [12, 1]], 10274503/2063912140800], [[[1, 4], [2, 5], [3, 1], [4, 1], [7, 1], [9, 1]], 1313/139345920], [[[1, 4], [2, 5], [3, 1], [4, 1], [7, 1], [14, 1]], 823/5419008], [[[1, 4], [2, 5], [3, 1], [4, 1], [7, 1], [18, 1]], 5/435456], [[[1, 4], [2, 5], [3, 1], [4, 1], [8, 1], [10, 2]], 6217/1061683200], [[[1, 4], [2, 5], [3, 1], [4, 1], [8, 1], [12, 2]], 9289/509607936], [[[1, 4], [2, 5], [3, 1], [4, 1], [8, 1], [15, 1]], 457/53084160], [[[1, 4], [2, 5], [3, 1], [4, 1], [8, 1], [16, 1]], 131/1769472], [[[1, 4], [2, 5], [3, 1], [4, 1], [8, 1], [20, 1]], 97/3932160], [[[1, 4], [2, 5], [3, 1], [4, 1], [8, 1], [24, 1]], 1289/42467328], [[[1, 4], [2, 5], [3, 1], [4, 1], [8, 1], [30, 1]], 457/53084160], [[[1, 4], [2, 5], [3, 1], [4, 1], [8, 2], [10, 1]], 12917/530841600], [[[1, 4], [2, 5], [3, 1], [4, 1], [8, 2], [12, 1]], 98353/2548039680], [[[1, 4], [2, 5], [3, 1], [4, 1], [9, 1], [14, 1]], 137/6967296], [[[1, 4], [2, 5], [3, 1], [4, 1], [9, 1], [18, 1]], 1357/26873856], [[[1, 4], [2, 5], [3, 1], [4, 1], [10, 1], [12, 2]], 8717/796262400], [[[1, 4], [2, 5], [3, 1], [4, 1], [10, 1], [15, 1]], 461/82944000], [[[1, 4], [2, 5], [3, 1], [4, 1], [10, 1], [20, 1]], 461/55296000], [[[1, 4], [2, 5], [3, 1], [4, 1], [10, 1], [24, 1]], 461/66355200], [[[1, 4], [2, 5], [3, 1], [4, 1], [10, 1], [30, 1]], 461/82944000], [[[1, 4], [2, 5], [3, 1], [4, 1], [10, 2], [12, 1]], 50869/7962624000], [[[1, 4], [2, 5], [3, 1], [4, 1], [12, 1], [15, 1]], 1333/398131200], [[[1, 4], [2, 5], [3, 1], [4, 1], [12, 1], [16, 1]], 31/1327104], [[[1, 4], [2, 5], [3, 1], [4, 1], [12, 1], [20, 1]], 3413/265420800], [[[1, 4], [2, 5], [3, 1], [4, 1], [12, 1], [24, 1]], 4453/318504960], [[[1, 4], [2, 5], [3, 1], [4, 1], [12, 1], [30, 1]], 1333/398131200], [[[1, 4], [2, 5], [3, 1], [4, 1], [14, 1], [18, 1]], 5/290304], [[[1, 4], [2, 5], [3, 1], [4, 2], [5, 1], [6, 3]], 12071/5733089280], [[[1, 4], [2, 5], [3, 1], [4, 2], [5, 1], [7, 1]], 13/1376256], [[[1, 4], [2, 5], [3, 1], [4, 2], [5, 1], [9, 1]], 22051/2388787200], [[[1, 4], [2, 5], [3, 1], [4, 2], [5, 1], [14, 1]], 1327/61931520], [[[1, 4], [2, 5], [3, 1], [4, 2], [5, 1], [18, 1]], 791/79626240], [[[1, 4], [2, 5], [3, 1], [4, 2], [5, 2], [6, 1]], 635453/47775744000], [[[1, 4], [2, 5], [3, 1], [4, 2], [6, 1], [8, 2]], 5358833/15288238080], [[[1, 4], [2, 5], [3, 1], [4, 2], [6, 1], [10, 2]], 771389/47775744000], [[[1, 4], [2, 5], [3, 1], [4, 2], [6, 1], [12, 2]], 3341971/22932357120], [[[1, 4], [2, 5], [3, 1], [4, 2], [6, 1], [15, 1]], 42173/2388787200], [[[1, 4], [2, 5], [3, 1], [4, 2], [6, 1], [16, 1]], 17/98304], [[[1, 4], [2, 5], [3, 1], [4, 2], [6, 1], [20, 1]], 214973/1592524800], [[[1, 4], [2, 5], [3, 1], [4, 2], [6, 1], [24, 1]], 127493/1911029760], [[[1, 4], [2, 5], [3, 1], [4, 2], [6, 1], [30, 1]], 42173/2388787200], [[[1, 4], [2, 5], [3, 1], [4, 2], [6, 2], [7, 1]], 21565/2675441664], [[[1, 4], [2, 5], [3, 1], [4, 2], [6, 2], [9, 1]], 68509/10319560704], [[[1, 4], [2, 5], [3, 1], [4, 2], [6, 2], [14, 1]], 3755/382205952], [[[1, 4], [2, 5], [3, 1], [4, 2], [6, 2], [18, 1]], 262757/17199267840], [[[1, 4], [2, 5], [3, 1], [4, 2], [6, 3], [8, 1]], 343699/13759414272], [[[1, 4], [2, 5], [3, 1], [4, 2], [6, 3], [10, 1]], 558179/85996339200], [[[1, 4], [2, 5], [3, 1], [4, 2], [6, 3], [12, 1]], 10493759/206391214080], [[[1, 4], [2, 5], [3, 1], [4, 2], [7, 1], [8, 1]], 1355/49545216], [[[1, 4], [2, 5], [3, 1], [4, 2], [7, 1], [10, 1]], 1/153600], [[[1, 4], [2, 5], [3, 1], [4, 2], [7, 1], [12, 1]], 6557/445906944], [[[1, 4], [2, 5], [3, 1], [4, 2], [8, 1], [9, 1]], 118693/3822059520], [[[1, 4], [2, 5], [3, 1], [4, 2], [8, 1], [14, 1]], 635/12386304], [[[1, 4], [2, 5], [3, 1], [4, 2], [8, 1], [18, 1]], 301/11943936], [[[1, 4], [2, 5], [3, 1], [4, 2], [9, 1], [10, 1]], 18467/2388787200], [[[1, 4], [2, 5], [3, 1], [4, 2], [9, 1], [12, 1]], 2881/214990848], [[[1, 4], [2, 5], [3, 1], [4, 2], [10, 1], [14, 1]], 43/3225600], [[[1, 4], [2, 5], [3, 1], [4, 2], [10, 1], [18, 1]], 479/74649600], [[[1, 4], [2, 5], [3, 1], [4, 2], [12, 1], [14, 1]], 1915/63700992], [[[1, 4], [2, 5], [3, 1], [4, 2], [12, 1], [18, 1]], 8365/573308928], [[[1, 4], [2, 5], [3, 1], [4, 3], [5, 1], [6, 2]], 6011/1274019840], [[[1, 4], [2, 5], [3, 1], [4, 3], [5, 1], [8, 1]], 491/11796480], [[[1, 4], [2, 5], [3, 1], [4, 3], [5, 1], [10, 1]], 2183/49152000], [[[1, 4], [2, 5], [3, 1], [4, 3], [5, 1], [12, 1]], 7801/353894400], [[[1, 4], [2, 5], [3, 1], [4, 3], [6, 1], [7, 1]], 1487/74317824], [[[1, 4], [2, 5], [3, 1], [4, 3], [6, 1], [9, 1]], 19135/1146617856], [[[1, 4], [2, 5], [3, 1], [4, 3], [6, 1], [14, 1]], 239/6193152], [[[1, 4], [2, 5], [3, 1], [4, 3], [6, 1], [18, 1]], 121261/5733089280], [[[1, 4], [2, 5], [3, 1], [4, 3], [6, 2], [8, 1]], 447953/6115295232], [[[1, 4], [2, 5], [3, 1], [4, 3], [6, 2], [10, 1]], 423457/19110297600], [[[1, 4], [2, 5], [3, 1], [4, 3], [6, 2], [12, 1]], 13259711/91729428480], [[[1, 4], [2, 5], [3, 1], [4, 3], [8, 1], [10, 1]], 3031/176947200], [[[1, 4], [2, 5], [3, 1], [4, 3], [8, 1], [12, 1]], 106217/1019215872], [[[1, 4], [2, 5], [3, 1], [4, 3], [10, 1], [12, 1]], 37649/3185049600], [[[1, 4], [2, 5], [3, 1], [4, 4], [5, 1], [6, 1]], 87167/5971968000], [[[1, 4], [2, 5], [3, 1], [4, 4], [6, 1], [8, 1]], 3126727/30576476160], [[[1, 4], [2, 5], [3, 1], [4, 4], [6, 1], [10, 1]], 2854517/191102976000], [[[1, 4], [2, 5], [3, 1], [4, 4], [6, 1], [12, 1]], 55696379/458647142400], [[[1, 4], [2, 5], [3, 1], [5, 1], [6, 1], [8, 2]], 1313/99532800], [[[1, 4], [2, 5], [3, 1], [5, 1], [6, 1], [10, 2]], 29879/311040000], [[[1, 4], [2, 5], [3, 1], [5, 1], [6, 1], [12, 2]], 679/74649600], [[[1, 4], [2, 5], [3, 1], [5, 1], [6, 1], [15, 1]], 143/15552000], [[[1, 4], [2, 5], [3, 1], [5, 1], [6, 1], [20, 1]], 143/10368000], [[[1, 4], [2, 5], [3, 1], [5, 1], [6, 1], [24, 1]], 413/12441600], [[[1, 4], [2, 5], [3, 1], [5, 1], [6, 1], [30, 1]], 143/15552000], [[[1, 4], [2, 5], [3, 1], [5, 1], [6, 2], [7, 1]], 7/1658880], [[[1, 4], [2, 5], [3, 1], [5, 1], [6, 2], [9, 1]], 2477/671846400], [[[1, 4], [2, 5], [3, 1], [5, 1], [6, 2], [14, 1]], 53/6967296], [[[1, 4], [2, 5], [3, 1], [5, 1], [6, 2], [18, 1]], 1969/223948800], [[[1, 4], [2, 5], [3, 1], [5, 1], [6, 3], [8, 1]], 7/3317760], [[[1, 4], [2, 5], [3, 1], [5, 1], [6, 3], [10, 1]], 31123/1119744000], [[[1, 4], [2, 5], [3, 1], [5, 1], [6, 3], [12, 1]], 71/18662400], [[[1, 4], [2, 5], [3, 1], [5, 1], [7, 1], [8, 1]], 1/86016], [[[1, 4], [2, 5], [3, 1], [5, 1], [7, 1], [10, 1]], 1/84000], [[[1, 4], [2, 5], [3, 1], [5, 1], [7, 1], [12, 1]], 1/215040], [[[1, 4], [2, 5], [3, 1], [5, 1], [8, 1], [9, 1]], 109/9953280], [[[1, 4], [2, 5], [3, 1], [5, 1], [8, 1], [14, 1]], 19/645120], [[[1, 4], [2, 5], [3, 1], [5, 1], [8, 1], [18, 1]], 11/829440], [[[1, 4], [2, 5], [3, 1], [5, 1], [9, 1], [10, 1]], 127/8640000], [[[1, 4], [2, 5], [3, 1], [5, 1], [9, 1], [12, 1]], 1/276480], [[[1, 4], [2, 5], [3, 1], [5, 1], [10, 1], [14, 1]], 19/1008000], [[[1, 4], [2, 5], [3, 1], [5, 1], [10, 1], [18, 1]], 37/3888000], [[[1, 4], [2, 5], [3, 1], [5, 1], [12, 1], [14, 1]], 1/71680], [[[1, 4], [2, 5], [3, 1], [5, 1], [12, 1], [18, 1]], 1/165888], [[[1, 4], [2, 5], [3, 1], [5, 2], [6, 1], [8, 1]], 1111/398131200], [[[1, 4], [2, 5], [3, 1], [5, 2], [6, 1], [10, 1]], 147107/2488320000], [[[1, 4], [2, 5], [3, 1], [5, 2], [6, 1], [12, 1]], 25069/5971968000], [[[1, 4], [2, 5], [3, 1], [6, 1], [7, 1], [9, 1]], 601/26127360], [[[1, 4], [2, 5], [3, 1], [6, 1], [7, 1], [14, 1]], 43/112896], [[[1, 4], [2, 5], [3, 1], [6, 1], [7, 1], [18, 1]], 49/1492992], [[[1, 4], [2, 5], [3, 1], [6, 1], [8, 1], [10, 2]], 2551/398131200], [[[1, 4], [2, 5], [3, 1], [6, 1], [8, 1], [12, 2]], 2383/191102976], [[[1, 4], [2, 5], [3, 1], [6, 1], [8, 1], [15, 1]], 247/19906560], [[[1, 4], [2, 5], [3, 1], [6, 1], [8, 1], [16, 1]], 5/73728], [[[1, 4], [2, 5], [3, 1], [6, 1], [8, 1], [20, 1]], 247/13271040], [[[1, 4], [2, 5], [3, 1], [6, 1], [8, 1], [24, 1]], 751/15925248], [[[1, 4], [2, 5], [3, 1], [6, 1], [8, 1], [30, 1]], 247/19906560], [[[1, 4], [2, 5], [3, 1], [6, 1], [8, 2], [10, 1]], 17507/796262400], [[[1, 4], [2, 5], [3, 1], [6, 1], [8, 2], [12, 1]], 18589/1911029760], [[[1, 4], [2, 5], [3, 1], [6, 1], [9, 1], [14, 1]], 895/20901888], [[[1, 4], [2, 5], [3, 1], [6, 1], [9, 1], [18, 1]], 3691/35831808], [[[1, 4], [2, 5], [3, 1], [6, 1], [10, 1], [12, 2]], 16739/1194393600], [[[1, 4], [2, 5], [3, 1], [6, 1], [10, 1], [15, 1]], 1667/124416000], [[[1, 4], [2, 5], [3, 1], [6, 1], [10, 1], [20, 1]], 1667/82944000], [[[1, 4], [2, 5], [3, 1], [6, 1], [10, 1], [24, 1]], 5267/99532800], [[[1, 4], [2, 5], [3, 1], [6, 1], [10, 1], [30, 1]], 1667/124416000], [[[1, 4], [2, 5], [3, 1], [6, 1], [10, 2], [12, 1]], 45517/5971968000], [[[1, 4], [2, 5], [3, 1], [6, 1], [12, 1], [15, 1]], 589/298598400], [[[1, 4], [2, 5], [3, 1], [6, 1], [12, 1], [20, 1]], 589/199065600], [[[1, 4], [2, 5], [3, 1], [6, 1], [12, 1], [24, 1]], 589/238878720], [[[1, 4], [2, 5], [3, 1], [6, 1], [12, 1], [30, 1]], 589/298598400], [[[1, 4], [2, 5], [3, 1], [6, 1], [14, 1], [18, 1]], 895/20901888], [[[1, 4], [2, 5], [3, 1], [6, 2], [7, 1], [8, 1]], 1115/55738368], [[[1, 4], [2, 5], [3, 1], [6, 2], [7, 1], [10, 1]], 17/483840], [[[1, 4], [2, 5], [3, 1], [6, 2], [7, 1], [12, 1]], 4645/167215104], [[[1, 4], [2, 5], [3, 1], [6, 2], [8, 1], [9, 1]], 3247/214990848], [[[1, 4], [2, 5], [3, 1], [6, 2], [8, 1], [14, 1]], 11/344064], [[[1, 4], [2, 5], [3, 1], [6, 2], [8, 1], [18, 1]], 47/1990656], [[[1, 4], [2, 5], [3, 1], [6, 2], [9, 1], [10, 1]], 553/24883200], [[[1, 4], [2, 5], [3, 1], [6, 2], [9, 1], [12, 1]], 373843/20639121408], [[[1, 4], [2, 5], [3, 1], [6, 2], [10, 1], [14, 1]], 173/4838400], [[[1, 4], [2, 5], [3, 1], [6, 2], [10, 1], [18, 1]], 421/14929920], [[[1, 4], [2, 5], [3, 1], [6, 2], [12, 1], [14, 1]], 11965/334430208], [[[1, 4], [2, 5], [3, 1], [6, 2], [12, 1], [18, 1]], 44401/2149908480], [[[1, 4], [2, 5], [3, 1], [6, 3], [8, 1], [10, 1]], 527/33177600], [[[1, 4], [2, 5], [3, 1], [6, 3], [8, 1], [12, 1]], 26471/1719926784], [[[1, 4], [2, 5], [3, 1], [6, 3], [10, 1], [12, 1]], 206203/10749542400], [[[1, 4], [2, 5], [3, 1], [7, 1], [8, 1], [10, 1]], 1/89600], [[[1, 4], [2, 5], [3, 1], [7, 1], [8, 1], [12, 1]], 25/3096576], [[[1, 4], [2, 5], [3, 1], [7, 1], [10, 1], [12, 1]], 1/80640], [[[1, 4], [2, 5], [3, 1], [8, 1], [9, 1], [10, 1]], 13/1244160], [[[1, 4], [2, 5], [3, 1], [8, 1], [9, 1], [12, 1]], 23/3981312], [[[1, 4], [2, 5], [3, 1], [8, 1], [10, 1], [14, 1]], 1/80640], [[[1, 4], [2, 5], [3, 1], [8, 1], [10, 1], [18, 1]], 1/138240], [[[1, 4], [2, 5], [3, 1], [8, 1], [12, 1], [14, 1]], 25/1548288], [[[1, 4], [2, 5], [3, 1], [8, 1], [12, 1], [18, 1]], 47/5971968], [[[1, 4], [2, 5], [3, 1], [9, 1], [10, 1], [12, 1]], 73/9331200], [[[1, 4], [2, 5], [3, 1], [10, 1], [12, 1], [14, 1]], 13/806400], [[[1, 4], [2, 5], [3, 1], [10, 1], [12, 1], [18, 1]], 41/4665600], [[[1, 4], [2, 5], [3, 2], [4, 1], [5, 1], [6, 3]], 2891/716636160], [[[1, 4], [2, 5], [3, 2], [4, 1], [5, 1], [7, 1]], 1/161280], [[[1, 4], [2, 5], [3, 2], [4, 1], [5, 1], [9, 1]], 2263/298598400], [[[1, 4], [2, 5], [3, 2], [4, 1], [5, 1], [14, 1]], 1/60480], [[[1, 4], [2, 5], [3, 2], [4, 1], [5, 1], [18, 1]], 1/138240], [[[1, 4], [2, 5], [3, 2], [4, 1], [5, 2], [6, 1]], 5279/398131200], [[[1, 4], [2, 5], [3, 2], [4, 1], [6, 1], [8, 2]], 10223/127401984], [[[1, 4], [2, 5], [3, 2], [4, 1], [6, 1], [10, 2]], 1391/398131200], [[[1, 4], [2, 5], [3, 2], [4, 1], [6, 1], [12, 2]], 12889/191102976], [[[1, 4], [2, 5], [3, 2], [4, 1], [6, 1], [15, 1]], 191/19906560], [[[1, 4], [2, 5], [3, 2], [4, 1], [6, 1], [16, 1]], 17/1327104], [[[1, 4], [2, 5], [3, 2], [4, 1], [6, 1], [20, 1]], 191/13271040], [[[1, 4], [2, 5], [3, 2], [4, 1], [6, 1], [24, 1]], 683/15925248], [[[1, 4], [2, 5], [3, 2], [4, 1], [6, 1], [30, 1]], 191/19906560], [[[1, 4], [2, 5], [3, 2], [4, 1], [6, 2], [7, 1]], 50291/1486356480], [[[1, 4], [2, 5], [3, 2], [4, 1], [6, 2], [9, 1]], 108109/3439853568], [[[1, 4], [2, 5], [3, 2], [4, 1], [6, 2], [14, 1]], 1553/24772608], [[[1, 4], [2, 5], [3, 2], [4, 1], [6, 2], [18, 1]], 5423/143327232], [[[1, 4], [2, 5], [3, 2], [4, 1], [6, 3], [8, 1]], 13143353/412782428160], [[[1, 4], [2, 5], [3, 2], [4, 1], [6, 3], [10, 1]], 85651/2687385600], [[[1, 4], [2, 5], [3, 2], [4, 1], [6, 3], [12, 1]], 200245/5159780352], [[[1, 4], [2, 5], [3, 2], [4, 1], [7, 1], [8, 1]], 5/442368], [[[1, 4], [2, 5], [3, 2], [4, 1], [7, 1], [10, 1]], 1/645120], [[[1, 4], [2, 5], [3, 2], [4, 1], [7, 1], [12, 1]], 6233/743178240], [[[1, 4], [2, 5], [3, 2], [4, 1], [8, 1], [9, 1]], 1241/95551488], [[[1, 4], [2, 5], [3, 2], [4, 1], [8, 1], [14, 1]], 463/18579456], [[[1, 4], [2, 5], [3, 2], [4, 1], [8, 1], [18, 1]], 841/71663616], [[[1, 4], [2, 5], [3, 2], [4, 1], [9, 1], [10, 1]], 641/149299200], [[[1, 4], [2, 5], [3, 2], [4, 1], [9, 1], [12, 1]], 4589/573308928], [[[1, 4], [2, 5], [3, 2], [4, 1], [10, 1], [14, 1]], 1/241920], [[[1, 4], [2, 5], [3, 2], [4, 1], [10, 1], [18, 1]], 7/3732480], [[[1, 4], [2, 5], [3, 2], [4, 1], [12, 1], [14, 1]], 9/458752], [[[1, 4], [2, 5], [3, 2], [4, 1], [12, 1], [18, 1]], 649/71663616], [[[1, 4], [2, 5], [3, 2], [4, 2], [5, 1], [6, 2]], 1709123/45864714240], [[[1, 4], [2, 5], [3, 2], [4, 2], [5, 1], [8, 1]], 2111/106168320], [[[1, 4], [2, 5], [3, 2], [4, 2], [5, 1], [10, 1]], 23/1536000], [[[1, 4], [2, 5], [3, 2], [4, 2], [5, 1], [12, 1]], 486863/38220595200], [[[1, 4], [2, 5], [3, 2], [4, 2], [6, 1], [7, 1]], 4429/891813888], [[[1, 4], [2, 5], [3, 2], [4, 2], [6, 1], [9, 1]], 228197/17199267840], [[[1, 4], [2, 5], [3, 2], [4, 2], [6, 1], [14, 1]], 3755/382205952], [[[1, 4], [2, 5], [3, 2], [4, 2], [6, 1], [18, 1]], 59791/10319560704], [[[1, 4], [2, 5], [3, 2], [4, 2], [6, 2], [8, 1]], 76030459/366917713920], [[[1, 4], [2, 5], [3, 2], [4, 2], [6, 2], [10, 1]], 10488977/229323571200], [[[1, 4], [2, 5], [3, 2], [4, 2], [6, 2], [12, 1]], 158711753/495338913792], [[[1, 4], [2, 5], [3, 2], [4, 2], [8, 1], [10, 1]], 967/132710400], [[[1, 4], [2, 5], [3, 2], [4, 2], [8, 1], [12, 1]], 778153/20384317440], [[[1, 4], [2, 5], [3, 2], [4, 2], [10, 1], [12, 1]], 748123/114661785600], [[[1, 4], [2, 5], [3, 2], [4, 3], [5, 1], [6, 1]], 1961/159252480], [[[1, 4], [2, 5], [3, 2], [4, 3], [6, 1], [8, 1]], 181085/3057647616], [[[1, 4], [2, 5], [3, 2], [4, 3], [6, 1], [10, 1]], 677/199065600], [[[1, 4], [2, 5], [3, 2], [4, 3], [6, 1], [12, 1]], 75019/679477248], [[[1, 4], [2, 5], [3, 2], [5, 1], [6, 1], [7, 1]], 37/2322432], [[[1, 4], [2, 5], [3, 2], [5, 1], [6, 1], [9, 1]], 3649/223948800], [[[1, 4], [2, 5], [3, 2], [5, 1], [6, 1], [14, 1]], 173/4838400], [[[1, 4], [2, 5], [3, 2], [5, 1], [6, 1], [18, 1]], 53/3110400], [[[1, 4], [2, 5], [3, 2], [5, 1], [6, 2], [8, 1]], 10093/955514880], [[[1, 4], [2, 5], [3, 2], [5, 1], [6, 2], [10, 1]], 134821/829440000], [[[1, 4], [2, 5], [3, 2], [5, 1], [6, 2], [12, 1]], 13121/895795200], [[[1, 4], [2, 5], [3, 2], [5, 1], [8, 1], [10, 1]], 1/192000], [[[1, 4], [2, 5], [3, 2], [5, 1], [8, 1], [12, 1]], 367/53084160], [[[1, 4], [2, 5], [3, 2], [5, 1], [10, 1], [12, 1]], 109/15360000], [[[1, 4], [2, 5], [3, 2], [6, 1], [7, 1], [8, 1]], 25/1327104], [[[1, 4], [2, 5], [3, 2], [6, 1], [7, 1], [10, 1]], 23/3628800], [[[1, 4], [2, 5], [3, 2], [6, 1], [7, 1], [12, 1]], 2651/139345920], [[[1, 4], [2, 5], [3, 2], [6, 1], [8, 1], [9, 1]], 119/5971968], [[[1, 4], [2, 5], [3, 2], [6, 1], [8, 1], [14, 1]], 11/344064], [[[1, 4], [2, 5], [3, 2], [6, 1], [8, 1], [18, 1]], 625/35831808], [[[1, 4], [2, 5], [3, 2], [6, 1], [9, 1], [10, 1]], 169/14929920], [[[1, 4], [2, 5], [3, 2], [6, 1], [9, 1], [12, 1]], 1537/107495424], [[[1, 4], [2, 5], [3, 2], [6, 1], [10, 1], [14, 1]], 53/6967296], [[[1, 4], [2, 5], [3, 2], [6, 1], [10, 1], [18, 1]], 3409/671846400], [[[1, 4], [2, 5], [3, 2], [6, 1], [12, 1], [14, 1]], 11965/334430208], [[[1, 4], [2, 5], [3, 2], [6, 1], [12, 1], [18, 1]], 369955/20639121408], [[[1, 4], [2, 5], [3, 2], [6, 2], [8, 1], [10, 1]], 209/12441600], [[[1, 4], [2, 5], [3, 2], [6, 2], [8, 1], [12, 1]], 6595/286654464], [[[1, 4], [2, 5], [3, 2], [6, 2], [10, 1], [12, 1]], 68323/3583180800], [[[1, 4], [2, 5], [3, 2], [8, 1], [10, 1], [12, 1]], 97/16588800], [[[1, 4], [2, 5], [3, 3], [4, 1], [5, 1], [6, 2]], 4776061/257989017600], [[[1, 4], [2, 5], [3, 3], [4, 1], [5, 1], [8, 1]], 97/14929920], [[[1, 4], [2, 5], [3, 3], [4, 1], [5, 1], [10, 1]], 1271/746496000], [[[1, 4], [2, 5], [3, 3], [4, 1], [5, 1], [12, 1]], 8423/1592524800], [[[1, 4], [2, 5], [3, 3], [4, 1], [6, 1], [7, 1]], 205/83607552], [[[1, 4], [2, 5], [3, 3], [4, 1], [6, 1], [9, 1]], 7/995328], [[[1, 4], [2, 5], [3, 3], [4, 1], [6, 1], [14, 1]], 7/1492992], [[[1, 4], [2, 5], [3, 3], [4, 1], [6, 1], [18, 1]], 35231/12899450880], [[[1, 4], [2, 5], [3, 3], [4, 1], [6, 2], [8, 1]], 2800883/82556485632], [[[1, 4], [2, 5], [3, 3], [4, 1], [6, 2], [10, 1]], 655247/128994508800], [[[1, 4], [2, 5], [3, 3], [4, 1], [6, 2], [12, 1]], 21740461/619173642240], [[[1, 4], [2, 5], [3, 3], [4, 1], [8, 1], [10, 1]], 209/149299200], [[[1, 4], [2, 5], [3, 3], [4, 1], [8, 1], [12, 1]], 40721/4586471424], [[[1, 4], [2, 5], [3, 3], [4, 1], [10, 1], [12, 1]], 2401/1433272320], [[[1, 4], [2, 5], [3, 3], [4, 2], [5, 1], [6, 1]], 2407/637009920], [[[1, 4], [2, 5], [3, 3], [4, 2], [6, 1], [8, 1]], 230075/13759414272], [[[1, 4], [2, 5], [3, 3], [4, 2], [6, 1], [10, 1]], 139051/85996339200], [[[1, 4], [2, 5], [3, 3], [4, 2], [6, 1], [12, 1]], 3968441/123834728448], [[[1, 4], [2, 5], [3, 3], [5, 1], [6, 1], [8, 1]], 19/1990656], [[[1, 4], [2, 5], [3, 3], [5, 1], [6, 1], [10, 1]], 2183/124416000], [[[1, 4], [2, 5], [3, 3], [5, 1], [6, 1], [12, 1]], 263/24883200], [[[1, 4], [2, 5], [3, 3], [6, 1], [8, 1], [10, 1]], 2461/895795200], [[[1, 4], [2, 5], [3, 3], [6, 1], [8, 1], [12, 1]], 21239/1719926784], [[[1, 4], [2, 5], [3, 3], [6, 1], [10, 1], [12, 1]], 47563/10749542400], [[[1, 4], [2, 5], [3, 4], [4, 1], [5, 1], [6, 1]], 11407/7166361600], [[[1, 4], [2, 5], [3, 4], [4, 1], [6, 1], [8, 1]], 4518779/1375941427200], [[[1, 4], [2, 5], [3, 4], [4, 1], [6, 1], [10, 1]], 15667/26873856000], [[[1, 4], [2, 5], [3, 4], [4, 1], [6, 1], [12, 1]], 191573/51597803520], [[[1, 4], [2, 5], [4, 1], [5, 1], [6, 1], [8, 2]], 77/4423680], [[[1, 4], [2, 5], [4, 1], [5, 1], [6, 1], [10, 2]], 2311/27648000], [[[1, 4], [2, 5], [4, 1], [5, 1], [6, 1], [12, 2]], 119/13271040], [[[1, 4], [2, 5], [4, 1], [5, 1], [6, 1], [15, 1]], 7/1382400], [[[1, 4], [2, 5], [4, 1], [5, 1], [6, 1], [20, 1]], 7/921600], [[[1, 4], [2, 5], [4, 1], [5, 1], [6, 1], [24, 1]], 7/1105920], [[[1, 4], [2, 5], [4, 1], [5, 1], [6, 1], [30, 1]], 7/1382400], [[[1, 4], [2, 5], [4, 1], [5, 1], [6, 2], [7, 1]], 11/2903040], [[[1, 4], [2, 5], [4, 1], [5, 1], [6, 2], [9, 1]], 13/5598720], [[[1, 4], [2, 5], [4, 1], [5, 1], [6, 2], [14, 1]], 1/241920], [[[1, 4], [2, 5], [4, 1], [5, 1], [6, 2], [18, 1]], 13/2488320], [[[1, 4], [2, 5], [4, 1], [5, 1], [6, 3], [8, 1]], 4681/2388787200], [[[1, 4], [2, 5], [4, 1], [5, 1], [6, 3], [10, 1]], 1/311040], [[[1, 4], [2, 5], [4, 1], [5, 1], [6, 3], [12, 1]], 893/358318080], [[[1, 4], [2, 5], [4, 1], [5, 1], [7, 1], [8, 1]], 9/286720], [[[1, 4], [2, 5], [4, 1], [5, 1], [7, 1], [10, 1]], 251/2688000], [[[1, 4], [2, 5], [4, 1], [5, 1], [7, 1], [12, 1]], 1/107520], [[[1, 4], [2, 5], [4, 1], [5, 1], [8, 1], [9, 1]], 19/829440], [[[1, 4], [2, 5], [4, 1], [5, 1], [8, 1], [14, 1]], 197/2867200], [[[1, 4], [2, 5], [4, 1], [5, 1], [8, 1], [18, 1]], 1081/33177600], [[[1, 4], [2, 5], [4, 1], [5, 1], [9, 1], [10, 1]], 731/10368000], [[[1, 4], [2, 5], [4, 1], [5, 1], [9, 1], [12, 1]], 1/138240], [[[1, 4], [2, 5], [4, 1], [5, 1], [10, 1], [14, 1]], 1/5600], [[[1, 4], [2, 5], [4, 1], [5, 1], [10, 1], [18, 1]], 1/10800], [[[1, 4], [2, 5], [4, 1], [5, 1], [12, 1], [14, 1]], 1/40320], [[[1, 4], [2, 5], [4, 1], [5, 1], [12, 1], [18, 1]], 7/622080], [[[1, 4], [2, 5], [4, 1], [5, 2], [6, 1], [8, 1]], 20059/5308416000], [[[1, 4], [2, 5], [4, 1], [5, 2], [6, 1], [10, 1]], 767/103680000], [[[1, 4], [2, 5], [4, 1], [5, 2], [6, 1], [12, 1]], 1051/199065600], [[[1, 4], [2, 5], [4, 1], [6, 1], [7, 1], [9, 1]], 13/1161216], [[[1, 4], [2, 5], [4, 1], [6, 1], [7, 1], [14, 1]], 25/129024], [[[1, 4], [2, 5], [4, 1], [6, 1], [7, 1], [18, 1]], 2393/139345920], [[[1, 4], [2, 5], [4, 1], [6, 1], [8, 1], [10, 2]], 201787/5308416000], [[[1, 4], [2, 5], [4, 1], [6, 1], [8, 1], [12, 2]], 60379/2548039680], [[[1, 4], [2, 5], [4, 1], [6, 1], [8, 1], [15, 1]], 2779/265420800], [[[1, 4], [2, 5], [4, 1], [6, 1], [8, 1], [16, 1]], 7/73728], [[[1, 4], [2, 5], [4, 1], [6, 1], [8, 1], [20, 1]], 5659/176947200], [[[1, 4], [2, 5], [4, 1], [6, 1], [8, 1], [24, 1]], 8539/212336640], [[[1, 4], [2, 5], [4, 1], [6, 1], [8, 1], [30, 1]], 2779/265420800], [[[1, 4], [2, 5], [4, 1], [6, 1], [8, 2], [10, 1]], 1883/33177600], [[[1, 4], [2, 5], [4, 1], [6, 1], [8, 2], [12, 1]], 2815/63700992], [[[1, 4], [2, 5], [4, 1], [6, 1], [9, 1], [14, 1]], 5/290304], [[[1, 4], [2, 5], [4, 1], [6, 1], [9, 1], [18, 1]], 11591/179159040], [[[1, 4], [2, 5], [4, 1], [6, 1], [10, 1], [12, 2]], 587/49766400], [[[1, 4], [2, 5], [4, 1], [6, 1], [10, 1], [15, 1]], 47/5184000], [[[1, 4], [2, 5], [4, 1], [6, 1], [10, 1], [16, 1]], 1/46080], [[[1, 4], [2, 5], [4, 1], [6, 1], [10, 1], [20, 1]], 47/3456000], [[[1, 4], [2, 5], [4, 1], [6, 1], [10, 1], [24, 1]], 47/4147200], [[[1, 4], [2, 5], [4, 1], [6, 1], [10, 1], [30, 1]], 47/5184000], [[[1, 4], [2, 5], [4, 1], [6, 1], [10, 2], [12, 1]], 3643/199065600], [[[1, 4], [2, 5], [4, 1], [6, 1], [12, 1], [15, 1]], 43/9953280], [[[1, 4], [2, 5], [4, 1], [6, 1], [12, 1], [16, 1]], 7/221184], [[[1, 4], [2, 5], [4, 1], [6, 1], [12, 1], [20, 1]], 23/1327104], [[[1, 4], [2, 5], [4, 1], [6, 1], [12, 1], [24, 1]], 151/7962624], [[[1, 4], [2, 5], [4, 1], [6, 1], [12, 1], [30, 1]], 43/9953280], [[[1, 4], [2, 5], [4, 1], [6, 1], [14, 1], [18, 1]], 137/6967296], [[[1, 4], [2, 5], [4, 1], [6, 2], [7, 1], [8, 1]], 11/516096], [[[1, 4], [2, 5], [4, 1], [6, 2], [7, 1], [10, 1]], 53/2903040], [[[1, 4], [2, 5], [4, 1], [6, 2], [7, 1], [12, 1]], 39979/2229534720], [[[1, 4], [2, 5], [4, 1], [6, 2], [8, 1], [9, 1]], 59/4478976], [[[1, 4], [2, 5], [4, 1], [6, 2], [8, 1], [14, 1]], 463/18579456], [[[1, 4], [2, 5], [4, 1], [6, 2], [8, 1], [18, 1]], 3173/159252480], [[[1, 4], [2, 5], [4, 1], [6, 2], [9, 1], [10, 1]], 29/2799360], [[[1, 4], [2, 5], [4, 1], [6, 2], [9, 1], [12, 1]], 93319/8599633920], [[[1, 4], [2, 5], [4, 1], [6, 2], [10, 1], [14, 1]], 1/60480], [[[1, 4], [2, 5], [4, 1], [6, 2], [10, 1], [18, 1]], 31/2073600], [[[1, 4], [2, 5], [4, 1], [6, 2], [12, 1], [14, 1]], 9/458752], [[[1, 4], [2, 5], [4, 1], [6, 2], [12, 1], [18, 1]], 109/7962624], [[[1, 4], [2, 5], [4, 1], [6, 3], [8, 1], [10, 1]], 32663/2388787200], [[[1, 4], [2, 5], [4, 1], [6, 3], [8, 1], [12, 1]], 111617/7644119040], [[[1, 4], [2, 5], [4, 1], [6, 3], [10, 1], [12, 1]], 587/49766400], [[[1, 4], [2, 5], [4, 1], [7, 1], [8, 1], [10, 1]], 41/716800], [[[1, 4], [2, 5], [4, 1], [7, 1], [8, 1], [12, 1]], 1/32256], [[[1, 4], [2, 5], [4, 1], [7, 1], [10, 1], [12, 1]], 1/44800], [[[1, 4], [2, 5], [4, 1], [8, 1], [9, 1], [10, 1]], 37/1036800], [[[1, 4], [2, 5], [4, 1], [8, 1], [9, 1], [12, 1]], 23/995328], [[[1, 4], [2, 5], [4, 1], [8, 1], [10, 1], [14, 1]], 197/2867200], [[[1, 4], [2, 5], [4, 1], [8, 1], [10, 1], [18, 1]], 1283/33177600], [[[1, 4], [2, 5], [4, 1], [8, 1], [12, 1], [14, 1]], 5/86016], [[[1, 4], [2, 5], [4, 1], [8, 1], [12, 1], [18, 1]], 5/165888], [[[1, 4], [2, 5], [4, 1], [9, 1], [10, 1], [12, 1]], 43/3110400], [[[1, 4], [2, 5], [4, 1], [10, 1], [12, 1], [14, 1]], 1/40320], [[[1, 4], [2, 5], [4, 1], [10, 1], [12, 1], [18, 1]], 1/69120], [[[1, 4], [2, 5], [4, 2], [5, 1], [6, 1], [7, 1]], 1/96768], [[[1, 4], [2, 5], [4, 2], [5, 1], [6, 1], [9, 1]], 11/1658880], [[[1, 4], [2, 5], [4, 2], [5, 1], [6, 1], [14, 1]], 43/3225600], [[[1, 4], [2, 5], [4, 2], [5, 1], [6, 1], [18, 1]], 23437/2388787200], [[[1, 4], [2, 5], [4, 2], [5, 1], [6, 2], [8, 1]], 71/6635520], [[[1, 4], [2, 5], [4, 2], [5, 1], [6, 2], [10, 1]], 361/13824000], [[[1, 4], [2, 5], [4, 2], [5, 1], [6, 2], [12, 1]], 1110101/114661785600], [[[1, 4], [2, 5], [4, 2], [5, 1], [8, 1], [10, 1]], 11513/36864000], [[[1, 4], [2, 5], [4, 2], [5, 1], [8, 1], [12, 1]], 13/165888], [[[1, 4], [2, 5], [4, 2], [5, 1], [10, 1], [12, 1]], 3781/34560000], [[[1, 4], [2, 5], [4, 2], [6, 1], [7, 1], [8, 1]], 91/2359296], [[[1, 4], [2, 5], [4, 2], [6, 1], [7, 1], [10, 1]], 235/12386304], [[[1, 4], [2, 5], [4, 2], [6, 1], [7, 1], [12, 1]], 50179/2229534720], [[[1, 4], [2, 5], [4, 2], [6, 1], [8, 1], [9, 1]], 4715/191102976], [[[1, 4], [2, 5], [4, 2], [6, 1], [8, 1], [14, 1]], 635/12386304], [[[1, 4], [2, 5], [4, 2], [6, 1], [8, 1], [18, 1]], 152953/3822059520], [[[1, 4], [2, 5], [4, 2], [6, 1], [9, 1], [10, 1]], 2783/238878720], [[[1, 4], [2, 5], [4, 2], [6, 1], [9, 1], [12, 1]], 125779/8599633920], [[[1, 4], [2, 5], [4, 2], [6, 1], [10, 1], [14, 1]], 1327/61931520], [[[1, 4], [2, 5], [4, 2], [6, 1], [10, 1], [18, 1]], 36713/2388787200], [[[1, 4], [2, 5], [4, 2], [6, 1], [12, 1], [14, 1]], 1915/63700992], [[[1, 4], [2, 5], [4, 2], [6, 1], [12, 1], [18, 1]], 16663/859963392], [[[1, 4], [2, 5], [4, 2], [6, 2], [8, 1], [10, 1]], 61/1769472], [[[1, 4], [2, 5], [4, 2], [6, 2], [8, 1], [12, 1]], 10388417/183458856960], [[[1, 4], [2, 5], [4, 2], [6, 2], [10, 1], [12, 1]], 904849/38220595200], [[[1, 4], [2, 5], [4, 2], [8, 1], [10, 1], [12, 1]], 761/6635520], [[[1, 4], [2, 5], [4, 3], [5, 1], [6, 1], [8, 1]], 3811/176947200], [[[1, 4], [2, 5], [4, 3], [5, 1], [6, 1], [10, 1]], 1379/22118400], [[[1, 4], [2, 5], [4, 3], [5, 1], [6, 1], [12, 1]], 193/13271040], [[[1, 4], [2, 5], [4, 3], [6, 1], [8, 1], [10, 1]], 3277/47185920], [[[1, 4], [2, 5], [4, 3], [6, 1], [8, 1], [12, 1]], 335221/2548039680], [[[1, 4], [2, 5], [4, 3], [6, 1], [10, 1], [12, 1]], 7367/199065600], [[[1, 4], [2, 5], [5, 1], [6, 1], [7, 1], [8, 1]], 1/215040], [[[1, 4], [2, 5], [5, 1], [6, 1], [7, 1], [10, 1]], 11/806400], [[[1, 4], [2, 5], [5, 1], [6, 1], [7, 1], [12, 1]], 17/1935360], [[[1, 4], [2, 5], [5, 1], [6, 1], [8, 1], [9, 1]], 1/276480], [[[1, 4], [2, 5], [5, 1], [6, 1], [8, 1], [14, 1]], 1/80640], [[[1, 4], [2, 5], [5, 1], [6, 1], [8, 1], [18, 1]], 79/9953280], [[[1, 4], [2, 5], [5, 1], [6, 1], [9, 1], [10, 1]], 1/115200], [[[1, 4], [2, 5], [5, 1], [6, 1], [9, 1], [12, 1]], 1/165888], [[[1, 4], [2, 5], [5, 1], [6, 1], [10, 1], [14, 1]], 19/1008000], [[[1, 4], [2, 5], [5, 1], [6, 1], [10, 1], [18, 1]], 49/2880000], [[[1, 4], [2, 5], [5, 1], [6, 1], [12, 1], [14, 1]], 13/806400], [[[1, 4], [2, 5], [5, 1], [6, 1], [12, 1], [18, 1]], 37/4665600], [[[1, 4], [2, 5], [5, 1], [6, 2], [8, 1], [10, 1]], 1/172800], [[[1, 4], [2, 5], [5, 1], [6, 2], [8, 1], [12, 1]], 247/53084160], [[[1, 4], [2, 5], [5, 1], [6, 2], [10, 1], [12, 1]], 407/46080000], [[[1, 4], [2, 5], [6, 1], [7, 1], [8, 1], [10, 1]], 13/460800], [[[1, 4], [2, 5], [6, 1], [7, 1], [8, 1], [12, 1]], 19/1548288], [[[1, 4], [2, 5], [6, 1], [7, 1], [10, 1], [12, 1]], 37/2419200], [[[1, 4], [2, 5], [6, 1], [8, 1], [9, 1], [10, 1]], 211/12441600], [[[1, 4], [2, 5], [6, 1], [8, 1], [9, 1], [12, 1]], 47/5971968], [[[1, 4], [2, 5], [6, 1], [8, 1], [10, 1], [14, 1]], 19/645120], [[[1, 4], [2, 5], [6, 1], [8, 1], [10, 1], [18, 1]], 259/12441600], [[[1, 4], [2, 5], [6, 1], [8, 1], [12, 1], [14, 1]], 25/1548288], [[[1, 4], [2, 5], [6, 1], [8, 1], [12, 1], [18, 1]], 53/5971968], [[[1, 4], [2, 5], [6, 1], [9, 1], [10, 1], [12, 1]], 41/4665600], [[[1, 4], [2, 5], [6, 1], [10, 1], [12, 1], [14, 1]], 1/71680], [[[1, 4], [2, 5], [6, 1], [10, 1], [12, 1], [18, 1]], 7/829440], [[[1, 4], [2, 5], [6, 2], [8, 1], [10, 1], [12, 1]], 113/8294400], [[[1, 4], [2, 7], [3, 1], [4, 1], [5, 1], [6, 3]], 110081/42998169600], [[[1, 4], [2, 7], [3, 1], [4, 1], [5, 1], [7, 1]], 139/154828800], [[[1, 4], [2, 7], [3, 1], [4, 1], [5, 1], [9, 1]], 689/796262400], [[[1, 4], [2, 7], [3, 1], [4, 1], [5, 1], [14, 1]], 1039/154828800], [[[1, 4], [2, 7], [3, 1], [4, 1], [5, 1], [18, 1]], 437/199065600], [[[1, 4], [2, 7], [3, 1], [4, 1], [5, 2], [6, 1]], 55717/28665446400], [[[1, 4], [2, 7], [3, 1], [4, 1], [6, 1], [8, 2]], 179317/9172942848], [[[1, 4], [2, 7], [3, 1], [4, 1], [6, 1], [10, 2]], 1451801/143327232000], [[[1, 4], [2, 7], [3, 1], [4, 1], [6, 1], [12, 2]], 146761/68797071360], [[[1, 4], [2, 7], [3, 1], [4, 1], [6, 1], [15, 1]], 12377/7166361600], [[[1, 4], [2, 7], [3, 1], [4, 1], [6, 1], [16, 1]], 19/3932160], [[[1, 4], [2, 7], [3, 1], [4, 1], [6, 1], [20, 1]], 12377/4777574400], [[[1, 4], [2, 7], [3, 1], [4, 1], [6, 1], [24, 1]], 27767/5733089280], [[[1, 4], [2, 7], [3, 1], [4, 1], [6, 1], [30, 1]], 12377/7166361600], [[[1, 4], [2, 7], [3, 1], [4, 1], [6, 2], [7, 1]], 128497/20065812480], [[[1, 4], [2, 7], [3, 1], [4, 1], [6, 2], [9, 1]], 383099/77396705280], [[[1, 4], [2, 7], [3, 1], [4, 1], [6, 2], [14, 1]], 5707/318504960], [[[1, 4], [2, 7], [3, 1], [4, 1], [6, 2], [18, 1]], 219097/25798901760], [[[1, 4], [2, 7], [3, 1], [4, 1], [6, 3], [8, 1]], 473117/34398535680], [[[1, 4], [2, 7], [3, 1], [4, 1], [6, 3], [10, 1]], 6253/573308928], [[[1, 4], [2, 7], [3, 1], [4, 1], [6, 3], [12, 1]], 945589/68797071360], [[[1, 4], [2, 7], [3, 1], [4, 1], [7, 1], [8, 1]], 19/8847360], [[[1, 4], [2, 7], [3, 1], [4, 1], [7, 1], [10, 1]], 227/77414400], [[[1, 4], [2, 7], [3, 1], [4, 1], [7, 1], [12, 1]], 241/371589120], [[[1, 4], [2, 7], [3, 1], [4, 1], [8, 1], [9, 1]], 640567/321052999680], [[[1, 4], [2, 7], [3, 1], [4, 1], [8, 1], [14, 1]], 199/17694720], [[[1, 4], [2, 7], [3, 1], [4, 1], [8, 1], [18, 1]], 947/238878720], [[[1, 4], [2, 7], [3, 1], [4, 1], [9, 1], [10, 1]], 1283/477757440], [[[1, 4], [2, 7], [3, 1], [4, 1], [9, 1], [12, 1]], 41/79626240], [[[1, 4], [2, 7], [3, 1], [4, 1], [10, 1], [14, 1]], 109/12902400], [[[1, 4], [2, 7], [3, 1], [4, 1], [10, 1], [18, 1]], 13/3732480], [[[1, 4], [2, 7], [3, 1], [4, 1], [12, 1], [14, 1]], 313/74317824], [[[1, 4], [2, 7], [3, 1], [4, 1], [12, 1], [18, 1]], 2029/1433272320], [[[1, 4], [2, 7], [3, 1], [4, 2], [5, 1], [6, 2]], 110963/19110297600], [[[1, 4], [2, 7], [3, 1], [4, 2], [5, 1], [8, 1]], 1111/235929600], [[[1, 4], [2, 7], [3, 1], [4, 2], [5, 1], [10, 1]], 4849/663552000], [[[1, 4], [2, 7], [3, 1], [4, 2], [5, 1], [12, 1]], 302089/200658124800], [[[1, 4], [2, 7], [3, 1], [4, 2], [6, 1], [7, 1]], 18451/5016453120], [[[1, 4], [2, 7], [3, 1], [4, 2], [6, 1], [9, 1]], 1982903/619173642240], [[[1, 4], [2, 7], [3, 1], [4, 2], [6, 1], [14, 1]], 44741/2006581248], [[[1, 4], [2, 7], [3, 1], [4, 2], [6, 1], [18, 1]], 1124129/144473849856], [[[1, 4], [2, 7], [3, 1], [4, 2], [6, 2], [8, 1]], 7956943/275188285440], [[[1, 4], [2, 7], [3, 1], [4, 2], [6, 2], [10, 1]], 2849051/171992678400], [[[1, 4], [2, 7], [3, 1], [4, 2], [6, 2], [12, 1]], 341511983/11557907988480], [[[1, 4], [2, 7], [3, 1], [4, 2], [8, 1], [10, 1]], 19043/2123366400], [[[1, 4], [2, 7], [3, 1], [4, 2], [8, 1], [12, 1]], 84757/15288238080], [[[1, 4], [2, 7], [3, 1], [4, 2], [10, 1], [12, 1]], 42521/9555148800], [[[1, 4], [2, 7], [3, 1], [4, 3], [5, 1], [6, 1]], 31051/9555148800], [[[1, 4], [2, 7], [3, 1], [4, 3], [6, 1], [8, 1]], 148723/5733089280], [[[1, 4], [2, 7], [3, 1], [4, 3], [6, 1], [10, 1]], 126109/14332723200], [[[1, 4], [2, 7], [3, 1], [4, 3], [6, 1], [12, 1]], 1369547/68797071360], [[[1, 4], [2, 7], [3, 1], [5, 1], [6, 1], [7, 1]], 667/348364800], [[[1, 4], [2, 7], [3, 1], [5, 1], [6, 1], [9, 1]], 64231/40310784000], [[[1, 4], [2, 7], [3, 1], [5, 1], [6, 1], [14, 1]], 12259/1045094400], [[[1, 4], [2, 7], [3, 1], [5, 1], [6, 1], [18, 1]], 152069/37623398400], [[[1, 4], [2, 7], [3, 1], [5, 1], [6, 2], [8, 1]], 15277/7166361600], [[[1, 4], [2, 7], [3, 1], [5, 1], [6, 2], [10, 1]], 24109/2239488000], [[[1, 4], [2, 7], [3, 1], [5, 1], [6, 2], [12, 1]], 685889/200658124800], [[[1, 4], [2, 7], [3, 1], [5, 1], [8, 1], [10, 1]], 179/55296000], [[[1, 4], [2, 7], [3, 1], [5, 1], [8, 1], [12, 1]], 1/2949120], [[[1, 4], [2, 7], [3, 1], [5, 1], [10, 1], [12, 1]], 1/768000], [[[1, 4], [2, 7], [3, 1], [6, 1], [7, 1], [8, 1]], 907/209018880], [[[1, 4], [2, 7], [3, 1], [6, 1], [7, 1], [10, 1]], 73/7741440], [[[1, 4], [2, 7], [3, 1], [6, 1], [7, 1], [12, 1]], 229/313528320], [[[1, 4], [2, 7], [3, 1], [6, 1], [8, 1], [9, 1]], 87823/25798901760], [[[1, 4], [2, 7], [3, 1], [6, 1], [8, 1], [14, 1]], 401/23224320], [[[1, 4], [2, 7], [3, 1], [6, 1], [8, 1], [18, 1]], 18959/2866544640], [[[1, 4], [2, 7], [3, 1], [6, 1], [9, 1], [10, 1]], 5479/796262400], [[[1, 4], [2, 7], [3, 1], [6, 1], [9, 1], [12, 1]], 86899/154793410560], [[[1, 4], [2, 7], [3, 1], [6, 1], [10, 1], [14, 1]], 859/38707200], [[[1, 4], [2, 7], [3, 1], [6, 1], [10, 1], [18, 1]], 8957/895795200], [[[1, 4], [2, 7], [3, 1], [6, 1], [12, 1], [14, 1]], 109/39191040], [[[1, 4], [2, 7], [3, 1], [6, 1], [12, 1], [18, 1]], 12181/11287019520], [[[1, 4], [2, 7], [3, 1], [6, 2], [8, 1], [10, 1]], 133/9830400], [[[1, 4], [2, 7], [3, 1], [6, 2], [8, 1], [12, 1]], 796823/137594142720], [[[1, 4], [2, 7], [3, 1], [6, 2], [10, 1], [12, 1]], 78079/8599633920], [[[1, 4], [2, 7], [3, 1], [8, 1], [10, 1], [12, 1]], 293/132710400], [[[1, 4], [2, 7], [3, 2], [4, 1], [5, 1], [6, 2]], 187495/27518828544], [[[1, 4], [2, 7], [3, 2], [4, 1], [5, 1], [8, 1]], 137/88473600], [[[1, 4], [2, 7], [3, 2], [4, 1], [5, 1], [10, 1]], 11/6144000], [[[1, 4], [2, 7], [3, 2], [4, 1], [5, 1], [12, 1]], 7639/12740198400], [[[1, 4], [2, 7], [3, 2], [4, 1], [6, 1], [7, 1]], 2357/743178240], [[[1, 4], [2, 7], [3, 2], [4, 1], [6, 1], [9, 1]], 85081/25798901760], [[[1, 4], [2, 7], [3, 2], [4, 1], [6, 1], [14, 1]], 3271/247726080], [[[1, 4], [2, 7], [3, 2], [4, 1], [6, 1], [18, 1]], 43247/8599633920], [[[1, 4], [2, 7], [3, 2], [4, 1], [6, 2], [8, 1]], 184998017/6164217593856], [[[1, 4], [2, 7], [3, 2], [4, 1], [6, 2], [10, 1]], 4129381/229323571200], [[[1, 4], [2, 7], [3, 2], [4, 1], [6, 2], [12, 1]], 9987653/412782428160], [[[1, 4], [2, 7], [3, 2], [4, 1], [8, 1], [10, 1]], 2599/796262400], [[[1, 4], [2, 7], [3, 2], [4, 1], [8, 1], [12, 1]], 2616919/1712282664960], [[[1, 4], [2, 7], [3, 2], [4, 1], [10, 1], [12, 1]], 3343/1415577600], [[[1, 4], [2, 7], [3, 2], [4, 2], [5, 1], [6, 1]], 86843/21499084800], [[[1, 4], [2, 7], [3, 2], [4, 2], [6, 1], [8, 1]], 4007653/275188285440], [[[1, 4], [2, 7], [3, 2], [4, 2], [6, 1], [10, 1]], 262553/57330892800], [[[1, 4], [2, 7], [3, 2], [4, 2], [6, 1], [12, 1]], 61677947/5944066965504], [[[1, 4], [2, 7], [3, 2], [5, 1], [6, 1], [8, 1]], 701/223948800], [[[1, 4], [2, 7], [3, 2], [5, 1], [6, 1], [10, 1]], 4987/829440000], [[[1, 4], [2, 7], [3, 2], [5, 1], [6, 1], [12, 1]], 305041/214990848000], [[[1, 4], [2, 7], [3, 2], [6, 1], [8, 1], [10, 1]], 1223/199065600], [[[1, 4], [2, 7], [3, 2], [6, 1], [8, 1], [12, 1]], 403423/137594142720], [[[1, 4], [2, 7], [3, 2], [6, 1], [10, 1], [12, 1]], 645389/114661785600], [[[1, 4], [2, 7], [3, 3], [4, 1], [5, 1], [6, 1]], 760961/386983526400], [[[1, 4], [2, 7], [3, 3], [4, 1], [6, 1], [8, 1]], 1157101/309586821120], [[[1, 4], [2, 7], [3, 3], [4, 1], [6, 1], [10, 1]], 114403/77396705280], [[[1, 4], [2, 7], [3, 3], [4, 1], [6, 1], [12, 1]], 5083639/1857520926720], [[[1, 4], [2, 7], [4, 1], [5, 1], [6, 1], [7, 1]], 1153/696729600], [[[1, 4], [2, 7], [4, 1], [5, 1], [6, 1], [9, 1]], 677/537477120], [[[1, 4], [2, 7], [4, 1], [5, 1], [6, 1], [14, 1]], 17/2419200], [[[1, 4], [2, 7], [4, 1], [5, 1], [6, 1], [18, 1]], 751/265420800], [[[1, 4], [2, 7], [4, 1], [5, 1], [6, 2], [8, 1]], 557/159252480], [[[1, 4], [2, 7], [4, 1], [5, 1], [6, 2], [10, 1]], 173/16588800], [[[1, 4], [2, 7], [4, 1], [5, 1], [6, 2], [12, 1]], 106741/38220595200], [[[1, 4], [2, 7], [4, 1], [5, 1], [8, 1], [10, 1]], 4039/245760000], [[[1, 4], [2, 7], [4, 1], [5, 1], [8, 1], [12, 1]], 1/1474560], [[[1, 4], [2, 7], [4, 1], [5, 1], [10, 1], [12, 1]], 7/2764800], [[[1, 4], [2, 7], [4, 1], [6, 1], [7, 1], [8, 1]], 133/26542080], [[[1, 4], [2, 7], [4, 1], [6, 1], [7, 1], [10, 1]], 10613/1393459200], [[[1, 4], [2, 7], [4, 1], [6, 1], [7, 1], [12, 1]], 1049/477757440], [[[1, 4], [2, 7], [4, 1], [6, 1], [8, 1], [9, 1]], 15487/4299816960], [[[1, 4], [2, 7], [4, 1], [6, 1], [8, 1], [14, 1]], 1091/69672960], [[[1, 4], [2, 7], [4, 1], [6, 1], [8, 1], [18, 1]], 2167799/321052999680], [[[1, 4], [2, 7], [4, 1], [6, 1], [9, 1], [10, 1]], 5539/1074954240], [[[1, 4], [2, 7], [4, 1], [6, 1], [9, 1], [12, 1]], 20141/12899450880], [[[1, 4], [2, 7], [4, 1], [6, 1], [10, 1], [14, 1]], 2453/154828800], [[[1, 4], [2, 7], [4, 1], [6, 1], [10, 1], [18, 1]], 1261/159252480], [[[1, 4], [2, 7], [4, 1], [6, 1], [12, 1], [14, 1]], 2431/371589120], [[[1, 4], [2, 7], [4, 1], [6, 1], [12, 1], [18, 1]], 1943/716636160], [[[1, 4], [2, 7], [4, 1], [6, 2], [8, 1], [10, 1]], 6817/477757440], [[[1, 4], [2, 7], [4, 1], [6, 2], [8, 1], [12, 1]], 13112663/1712282664960], [[[1, 4], [2, 7], [4, 1], [6, 2], [10, 1], [12, 1]], 36509/4246732800], [[[1, 4], [2, 7], [4, 1], [8, 1], [10, 1], [12, 1]], 1/122880], [[[1, 4], [2, 7], [4, 2], [5, 1], [6, 1], [8, 1]], 43937/6370099200], [[[1, 4], [2, 7], [4, 2], [5, 1], [6, 1], [10, 1]], 15331/737280000], [[[1, 4], [2, 7], [4, 2], [5, 1], [6, 1], [12, 1]], 89083/26873856000], [[[1, 4], [2, 7], [4, 2], [6, 1], [8, 1], [10, 1]], 33427/1274019840], [[[1, 4], [2, 7], [4, 2], [6, 1], [8, 1], [12, 1]], 2286863/137594142720], [[[1, 4], [2, 7], [4, 2], [6, 1], [10, 1], [12, 1]], 12587/1194393600], [[[1, 4], [2, 7], [5, 1], [6, 1], [8, 1], [10, 1]], 1/276480], [[[1, 4], [2, 7], [5, 1], [6, 1], [8, 1], [12, 1]], 1/829440], [[[1, 4], [2, 7], [5, 1], [6, 1], [10, 1], [12, 1]], 179/46080000], [[[1, 4], [2, 7], [6, 1], [8, 1], [10, 1], [12, 1]], 113/33177600], [[[1, 4], [2, 9], [3, 1], [4, 1], [5, 1], [6, 2]], 26272181/48157949952000], [[[1, 4], [2, 9], [3, 1], [4, 1], [5, 1], [8, 1]], 28997/297271296000], [[[1, 4], [2, 9], [3, 1], [4, 1], [5, 1], [10, 1]], 1167253/3344302080000], [[[1, 4], [2, 9], [3, 1], [4, 1], [5, 1], [12, 1]], 19189/1605264998400], [[[1, 4], [2, 9], [3, 1], [4, 1], [6, 1], [7, 1]], 792221/2809213747200], [[[1, 4], [2, 9], [3, 1], [4, 1], [6, 1], [9, 1]], 58039/247669456896], [[[1, 4], [2, 9], [3, 1], [4, 1], [6, 1], [14, 1]], 49631/23410114560], [[[1, 4], [2, 9], [3, 1], [4, 1], [6, 1], [18, 1]], 10024001/14447384985600], [[[1, 4], [2, 9], [3, 1], [4, 1], [6, 2], [8, 1]], 47645389/25684239974400], [[[1, 4], [2, 9], [3, 1], [4, 1], [6, 2], [10, 1]], 144936973/48157949952000], [[[1, 4], [2, 9], [3, 1], [4, 1], [6, 2], [12, 1]], 251188331/231158159769600], [[[1, 4], [2, 9], [3, 1], [4, 1], [8, 1], [10, 1]], 32867/44590694400], [[[1, 4], [2, 9], [3, 1], [4, 1], [8, 1], [12, 1]], 875527/12842119987200], [[[1, 4], [2, 9], [3, 1], [4, 1], [10, 1], [12, 1]], 1920973/8026324992000], [[[1, 4], [2, 9], [3, 1], [4, 2], [5, 1], [6, 1]], 15227/40131624960], [[[1, 4], [2, 9], [3, 1], [4, 2], [6, 1], [8, 1]], 4426771/2751882854400], [[[1, 4], [2, 9], [3, 1], [4, 2], [6, 1], [10, 1]], 85337603/48157949952000], [[[1, 4], [2, 9], [3, 1], [4, 2], [6, 1], [12, 1]], 81176441/115579079884800], [[[1, 4], [2, 9], [3, 1], [5, 1], [6, 1], [8, 1]], 681061/4013162496000], [[[1, 4], [2, 9], [3, 1], [5, 1], [6, 1], [10, 1]], 3657653/5016453120000], [[[1, 4], [2, 9], [3, 1], [5, 1], [6, 1], [12, 1]], 108221/4013162496000], [[[1, 4], [2, 9], [3, 1], [6, 1], [8, 1], [10, 1]], 16049/11147673600], [[[1, 4], [2, 9], [3, 1], [6, 1], [8, 1], [12, 1]], 798701/9631589990400], [[[1, 4], [2, 9], [3, 1], [6, 1], [10, 1], [12, 1]], 2873933/12039487488000], [[[1, 4], [2, 9], [3, 2], [4, 1], [5, 1], [6, 1]], 1429651/6019743744000], [[[1, 4], [2, 9], [3, 2], [4, 1], [6, 1], [8, 1]], 289416299/462316319539200], [[[1, 4], [2, 9], [3, 2], [4, 1], [6, 1], [10, 1]], 669551/601974374400], [[[1, 4], [2, 9], [3, 2], [4, 1], [6, 1], [12, 1]], 2573377/11007531417600], [[[1, 4], [2, 9], [4, 1], [5, 1], [6, 1], [8, 1]], 174757/668860416000], [[[1, 4], [2, 9], [4, 1], [5, 1], [6, 1], [10, 1]], 2951/3096576000], [[[1, 4], [2, 9], [4, 1], [5, 1], [6, 1], [12, 1]], 10823/100329062400], [[[1, 4], [2, 9], [4, 1], [6, 1], [8, 1], [10, 1]], 6958981/3567255552000], [[[1, 4], [2, 9], [4, 1], [6, 1], [8, 1], [12, 1]], 2993171/8561413324800], [[[1, 4], [2, 9], [4, 1], [6, 1], [10, 1], [12, 1]], 1087/1592524800], [[[1, 4], [2, 11], [3, 1], [4, 1], [5, 1], [6, 1]], 45121/6019743744000], [[[1, 4], [2, 11], [3, 1], [4, 1], [6, 1], [8, 1]], 16403/475634073600], [[[1, 4], [2, 11], [3, 1], [4, 1], [6, 1], [10, 1]], 694553/6019743744000], [[[1, 4], [2, 11], [3, 1], [4, 1], [6, 1], [12, 1]], 183067/28894769971200], [[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [6, 5]], 49/6718464000], [[[1, 5], [2, 2], [3, 1], [4, 1], [5, 2], [6, 3]], 59/597196800], [[[1, 5], [2, 2], [3, 1], [4, 1], [5, 2], [7, 1]], 37/1612800], [[[1, 5], [2, 2], [3, 1], [4, 1], [5, 2], [9, 1]], 3991/331776000], [[[1, 5], [2, 2], [3, 1], [4, 1], [5, 2], [14, 1]], 7/921600], [[[1, 5], [2, 2], [3, 1], [4, 1], [5, 2], [18, 1]], 49/8294400], [[[1, 5], [2, 2], [3, 1], [4, 1], [5, 3], [6, 1]], 23/51840000], [[[1, 5], [2, 2], [3, 1], [4, 1], [6, 1], [7, 2]], 1/75264], [[[1, 5], [2, 2], [3, 1], [4, 1], [6, 1], [8, 3]], 211/21233664], [[[1, 5], [2, 2], [3, 1], [4, 1], [6, 1], [9, 2]], 1/279936], [[[1, 5], [2, 2], [3, 1], [4, 1], [6, 1], [10, 3]], 1/4608000], [[[1, 5], [2, 2], [3, 1], [4, 1], [6, 1], [12, 3]], 73/15925248], [[[1, 5], [2, 2], [3, 1], [4, 1], [6, 1], [18, 2]], 1/746496], [[[1, 5], [2, 2], [3, 1], [4, 1], [6, 1], [28, 1]], 1/16128], [[[1, 5], [2, 2], [3, 1], [4, 1], [6, 1], [36, 1]], 1/20736], [[[1, 5], [2, 2], [3, 1], [4, 1], [6, 3], [8, 2]], 269/191102976], [[[1, 5], [2, 2], [3, 1], [4, 1], [6, 3], [10, 2]], 31/119439360], [[[1, 5], [2, 2], [3, 1], [4, 1], [6, 3], [12, 2]], 143/95551488], [[[1, 5], [2, 2], [3, 1], [4, 1], [6, 3], [15, 1]], 11/29859840], [[[1, 5], [2, 2], [3, 1], [4, 1], [6, 3], [20, 1]], 11/19906560], [[[1, 5], [2, 2], [3, 1], [4, 1], [6, 3], [24, 1]], 11/23887872], [[[1, 5], [2, 2], [3, 1], [4, 1], [6, 3], [30, 1]], 11/29859840], [[[1, 5], [2, 2], [3, 1], [4, 1], [6, 4], [7, 1]], 41/418037760], [[[1, 5], [2, 2], [3, 1], [4, 1], [6, 4], [9, 1]], 8261/257989017600], [[[1, 5], [2, 2], [3, 1], [4, 1], [6, 4], [14, 1]], 1/1672151040], [[[1, 5], [2, 2], [3, 1], [4, 1], [6, 4], [18, 1]], 49/238878720], [[[1, 5], [2, 2], [3, 1], [4, 1], [6, 5], [8, 1]], 97/3439853568], [[[1, 5], [2, 2], [3, 1], [4, 1], [6, 5], [10, 1]], 23/3583180800], [[[1, 5], [2, 2], [3, 1], [4, 1], [6, 5], [12, 1]], 1273/25798901760], [[[1, 5], [2, 2], [3, 1], [4, 1], [7, 1], [8, 2]], 19/516096], [[[1, 5], [2, 2], [3, 1], [4, 1], [7, 1], [10, 2]], 1/1612800], [[[1, 5], [2, 2], [3, 1], [4, 1], [7, 1], [12, 2]], 1/36864], [[[1, 5], [2, 2], [3, 1], [4, 1], [7, 1], [15, 1]], 1/80640], [[[1, 5], [2, 2], [3, 1], [4, 1], [7, 1], [20, 1]], 1/53760], [[[1, 5], [2, 2], [3, 1], [4, 1], [7, 1], [24, 1]], 1/64512], [[[1, 5], [2, 2], [3, 1], [4, 1], [7, 1], [30, 1]], 1/80640], [[[1, 5], [2, 2], [3, 1], [4, 1], [8, 2], [9, 1]], 1547/106168320], [[[1, 5], [2, 2], [3, 1], [4, 1], [8, 2], [14, 1]], 1/294912], [[[1, 5], [2, 2], [3, 1], [4, 1], [8, 2], [18, 1]], 7/2654208], [[[1, 5], [2, 2], [3, 1], [4, 1], [9, 1], [10, 2]], 29/110592000], [[[1, 5], [2, 2], [3, 1], [4, 1], [9, 1], [12, 2]], 4741/477757440], [[[1, 5], [2, 2], [3, 1], [4, 1], [9, 1], [15, 1]], 29/5529600], [[[1, 5], [2, 2], [3, 1], [4, 1], [9, 1], [20, 1]], 29/3686400], [[[1, 5], [2, 2], [3, 1], [4, 1], [9, 1], [24, 1]], 29/4423680], [[[1, 5], [2, 2], [3, 1], [4, 1], [9, 1], [30, 1]], 29/5529600], [[[1, 5], [2, 2], [3, 1], [4, 1], [10, 2], [14, 1]], 1/6451200], [[[1, 5], [2, 2], [3, 1], [4, 1], [10, 2], [18, 1]], 1/8294400], [[[1, 5], [2, 2], [3, 1], [4, 1], [12, 2], [14, 1]], 17/3096576], [[[1, 5], [2, 2], [3, 1], [4, 1], [12, 2], [18, 1]], 17/3981312], [[[1, 5], [2, 2], [3, 1], [4, 1], [14, 1], [15, 1]], 1/322560], [[[1, 5], [2, 2], [3, 1], [4, 1], [14, 1], [20, 1]], 1/215040], [[[1, 5], [2, 2], [3, 1], [4, 1], [14, 1], [24, 1]], 1/258048], [[[1, 5], [2, 2], [3, 1], [4, 1], [14, 1], [30, 1]], 1/322560], [[[1, 5], [2, 2], [3, 1], [4, 1], [15, 1], [18, 1]], 1/414720], [[[1, 5], [2, 2], [3, 1], [4, 1], [18, 1], [20, 1]], 1/276480], [[[1, 5], [2, 2], [3, 1], [4, 1], [18, 1], [24, 1]], 1/331776], [[[1, 5], [2, 2], [3, 1], [4, 1], [18, 1], [30, 1]], 1/414720], [[[1, 5], [2, 2], [3, 1], [4, 2], [5, 1], [6, 4]], 371/343985356800], [[[1, 5], [2, 2], [3, 1], [4, 2], [5, 1], [8, 2]], 32231/424673280], [[[1, 5], [2, 2], [3, 1], [4, 2], [5, 1], [10, 2]], 3827/1327104000], [[[1, 5], [2, 2], [3, 1], [4, 2], [5, 1], [12, 2]], 9991/353894400], [[[1, 5], [2, 2], [3, 1], [4, 2], [5, 1], [15, 1]], 371/66355200], [[[1, 5], [2, 2], [3, 1], [4, 2], [5, 1], [16, 1]], 1/15360], [[[1, 5], [2, 2], [3, 1], [4, 2], [5, 1], [20, 1]], 107/1769472], [[[1, 5], [2, 2], [3, 1], [4, 2], [5, 1], [24, 1]], 371/53084160], [[[1, 5], [2, 2], [3, 1], [4, 2], [5, 1], [30, 1]], 371/66355200], [[[1, 5], [2, 2], [3, 1], [4, 2], [5, 2], [6, 2]], 461/2123366400], [[[1, 5], [2, 2], [3, 1], [4, 2], [5, 2], [8, 1]], 4249/212336640], [[[1, 5], [2, 2], [3, 1], [4, 2], [5, 2], [10, 1]], 127/2211840], [[[1, 5], [2, 2], [3, 1], [4, 2], [5, 2], [12, 1]], 644827/47775744000], [[[1, 5], [2, 2], [3, 1], [4, 2], [6, 2], [8, 2]], 4921/679477248], [[[1, 5], [2, 2], [3, 1], [4, 2], [6, 2], [10, 2]], 239/707788800], [[[1, 5], [2, 2], [3, 1], [4, 2], [6, 2], [12, 2]], 228863/45864714240], [[[1, 5], [2, 2], [3, 1], [4, 2], [6, 2], [15, 1]], 77/106168320], [[[1, 5], [2, 2], [3, 1], [4, 2], [6, 2], [16, 1]], 1/73728], [[[1, 5], [2, 2], [3, 1], [4, 2], [6, 2], [20, 1]], 37/7864320], [[[1, 5], [2, 2], [3, 1], [4, 2], [6, 2], [24, 1]], 845/84934656], [[[1, 5], [2, 2], [3, 1], [4, 2], [6, 2], [30, 1]], 77/106168320], [[[1, 5], [2, 2], [3, 1], [4, 2], [6, 3], [7, 1]], 1/15676416], [[[1, 5], [2, 2], [3, 1], [4, 2], [6, 3], [9, 1]], 49/1934917632], [[[1, 5], [2, 2], [3, 1], [4, 2], [6, 3], [14, 1]], 1/83607552], [[[1, 5], [2, 2], [3, 1], [4, 2], [6, 3], [18, 1]], 709/1719926784], [[[1, 5], [2, 2], [3, 1], [4, 2], [6, 4], [8, 1]], 8189/275188285440], [[[1, 5], [2, 2], [3, 1], [4, 2], [6, 4], [10, 1]], 29/4777574400], [[[1, 5], [2, 2], [3, 1], [4, 2], [6, 4], [12, 1]], 1610329/12383472844800], [[[1, 5], [2, 2], [3, 1], [4, 2], [7, 1], [9, 1]], 299/55738368], [[[1, 5], [2, 2], [3, 1], [4, 2], [7, 1], [14, 1]], 59/903168], [[[1, 5], [2, 2], [3, 1], [4, 2], [7, 1], [18, 1]], 1/497664], [[[1, 5], [2, 2], [3, 1], [4, 2], [8, 1], [10, 2]], 509/1061683200], [[[1, 5], [2, 2], [3, 1], [4, 2], [8, 1], [12, 2]], 6143/169869312], [[[1, 5], [2, 2], [3, 1], [4, 2], [8, 1], [15, 1]], 509/53084160], [[[1, 5], [2, 2], [3, 1], [4, 2], [8, 1], [16, 1]], 947/8847360], [[[1, 5], [2, 2], [3, 1], [4, 2], [8, 1], [20, 1]], 1661/35389440], [[[1, 5], [2, 2], [3, 1], [4, 2], [8, 1], [24, 1]], 2813/42467328], [[[1, 5], [2, 2], [3, 1], [4, 2], [8, 1], [30, 1]], 509/53084160], [[[1, 5], [2, 2], [3, 1], [4, 2], [8, 2], [10, 1]], 43/17694720], [[[1, 5], [2, 2], [3, 1], [4, 2], [8, 2], [12, 1]], 609487/15288238080], [[[1, 5], [2, 2], [3, 1], [4, 2], [9, 1], [14, 1]], 47/27869184], [[[1, 5], [2, 2], [3, 1], [4, 2], [9, 1], [18, 1]], 1111/26873856], [[[1, 5], [2, 2], [3, 1], [4, 2], [10, 1], [12, 2]], 119/26542080], [[[1, 5], [2, 2], [3, 1], [4, 2], [10, 1], [15, 1]], 7/2764800], [[[1, 5], [2, 2], [3, 1], [4, 2], [10, 1], [20, 1]], 7/1843200], [[[1, 5], [2, 2], [3, 1], [4, 2], [10, 1], [24, 1]], 7/2211840], [[[1, 5], [2, 2], [3, 1], [4, 2], [10, 1], [30, 1]], 7/2764800], [[[1, 5], [2, 2], [3, 1], [4, 2], [10, 2], [12, 1]], 64219/47775744000], [[[1, 5], [2, 2], [3, 1], [4, 2], [12, 1], [15, 1]], 12379/2388787200], [[[1, 5], [2, 2], [3, 1], [4, 2], [12, 1], [16, 1]], 1/18432], [[[1, 5], [2, 2], [3, 1], [4, 2], [12, 1], [20, 1]], 88027/1592524800], [[[1, 5], [2, 2], [3, 1], [4, 2], [12, 1], [24, 1]], 67483/1911029760], [[[1, 5], [2, 2], [3, 1], [4, 2], [12, 1], [30, 1]], 12379/2388787200], [[[1, 5], [2, 2], [3, 1], [4, 2], [14, 1], [18, 1]], 1/1161216], [[[1, 5], [2, 2], [3, 1], [4, 3], [5, 1], [6, 3]], 1/79626240], [[[1, 5], [2, 2], [3, 1], [4, 3], [5, 1], [7, 1]], 1/368640], [[[1, 5], [2, 2], [3, 1], [4, 3], [5, 1], [9, 1]], 629/398131200], [[[1, 5], [2, 2], [3, 1], [4, 3], [5, 1], [14, 1]], 1/860160], [[[1, 5], [2, 2], [3, 1], [4, 3], [5, 1], [18, 1]], 1/1105920], [[[1, 5], [2, 2], [3, 1], [4, 3], [5, 2], [6, 1]], 53/1592524800], [[[1, 5], [2, 2], [3, 1], [4, 3], [6, 1], [8, 2]], 14633/509607936], [[[1, 5], [2, 2], [3, 1], [4, 3], [6, 1], [10, 2]], 629/1592524800], [[[1, 5], [2, 2], [3, 1], [4, 3], [6, 1], [12, 2]], 259/28311552], [[[1, 5], [2, 2], [3, 1], [4, 3], [6, 1], [15, 1]], 53/79626240], [[[1, 5], [2, 2], [3, 1], [4, 3], [6, 1], [16, 1]], 29/3538944], [[[1, 5], [2, 2], [3, 1], [4, 3], [6, 1], [20, 1]], 821/53084160], [[[1, 5], [2, 2], [3, 1], [4, 3], [6, 1], [24, 1]], 287/63700992], [[[1, 5], [2, 2], [3, 1], [4, 3], [6, 1], [30, 1]], 53/79626240], [[[1, 5], [2, 2], [3, 1], [4, 3], [6, 2], [7, 1]], 5/37158912], [[[1, 5], [2, 2], [3, 1], [4, 3], [6, 2], [9, 1]], 7/143327232], [[[1, 5], [2, 2], [3, 1], [4, 3], [6, 2], [14, 1]], 1/37158912], [[[1, 5], [2, 2], [3, 1], [4, 3], [6, 2], [18, 1]], 7/17915904], [[[1, 5], [2, 2], [3, 1], [4, 3], [6, 3], [8, 1]], 61/1146617856], [[[1, 5], [2, 2], [3, 1], [4, 3], [6, 3], [10, 1]], 1/47775744], [[[1, 5], [2, 2], [3, 1], [4, 3], [6, 3], [12, 1]], 583/2293235712], [[[1, 5], [2, 2], [3, 1], [4, 3], [7, 1], [8, 1]], 1/172032], [[[1, 5], [2, 2], [3, 1], [4, 3], [7, 1], [10, 1]], 1/645120], [[[1, 5], [2, 2], [3, 1], [4, 3], [7, 1], [12, 1]], 53/6193152], [[[1, 5], [2, 2], [3, 1], [4, 3], [8, 1], [9, 1]], 1049/254803968], [[[1, 5], [2, 2], [3, 1], [4, 3], [8, 1], [14, 1]], 1/344064], [[[1, 5], [2, 2], [3, 1], [4, 3], [8, 1], [18, 1]], 17/7962624], [[[1, 5], [2, 2], [3, 1], [4, 3], [9, 1], [10, 1]], 77/79626240], [[[1, 5], [2, 2], [3, 1], [4, 3], [9, 1], [12, 1]], 977/238878720], [[[1, 5], [2, 2], [3, 1], [4, 3], [10, 1], [14, 1]], 1/1290240], [[[1, 5], [2, 2], [3, 1], [4, 3], [10, 1], [18, 1]], 1/1658880], [[[1, 5], [2, 2], [3, 1], [4, 3], [12, 1], [14, 1]], 17/6193152], [[[1, 5], [2, 2], [3, 1], [4, 3], [12, 1], [18, 1]], 17/7962624], [[[1, 5], [2, 2], [3, 1], [4, 4], [5, 1], [6, 2]], 959/47775744000], [[[1, 5], [2, 2], [3, 1], [4, 4], [5, 1], [8, 1]], 44131/5308416000], [[[1, 5], [2, 2], [3, 1], [4, 4], [5, 1], [10, 1]], 2761/442368000], [[[1, 5], [2, 2], [3, 1], [4, 4], [5, 1], [12, 1]], 19693/2654208000], [[[1, 5], [2, 2], [3, 1], [4, 4], [6, 1], [7, 1]], 313/185794560], [[[1, 5], [2, 2], [3, 1], [4, 4], [6, 1], [9, 1]], 15823/34398535680], [[[1, 5], [2, 2], [3, 1], [4, 4], [6, 1], [14, 1]], 1/371589120], [[[1, 5], [2, 2], [3, 1], [4, 4], [6, 1], [18, 1]], 18647/85996339200], [[[1, 5], [2, 2], [3, 1], [4, 4], [6, 2], [8, 1]], 18569/15288238080], [[[1, 5], [2, 2], [3, 1], [4, 4], [6, 2], [10, 1]], 43/2123366400], [[[1, 5], [2, 2], [3, 1], [4, 4], [6, 2], [12, 1]], 1669907/458647142400], [[[1, 5], [2, 2], [3, 1], [4, 4], [8, 1], [10, 1]], 11/5898240], [[[1, 5], [2, 2], [3, 1], [4, 4], [8, 1], [12, 1]], 3595/169869312], [[[1, 5], [2, 2], [3, 1], [4, 4], [10, 1], [12, 1]], 2201/1061683200], [[[1, 5], [2, 2], [3, 1], [4, 5], [5, 1], [6, 1]], 23/3981312000], [[[1, 5], [2, 2], [3, 1], [4, 5], [6, 1], [8, 1]], 4171/5096079360], [[[1, 5], [2, 2], [3, 1], [4, 5], [6, 1], [10, 1]], 23/1061683200], [[[1, 5], [2, 2], [3, 1], [4, 5], [6, 1], [12, 1]], 1471/849346560], [[[1, 5], [2, 2], [3, 1], [5, 1], [6, 2], [8, 2]], 419/199065600], [[[1, 5], [2, 2], [3, 1], [5, 1], [6, 2], [10, 2]], 779/622080000], [[[1, 5], [2, 2], [3, 1], [5, 1], [6, 2], [12, 2]], 773/298598400], [[[1, 5], [2, 2], [3, 1], [5, 1], [6, 2], [15, 1]], 59/31104000], [[[1, 5], [2, 2], [3, 1], [5, 1], [6, 2], [20, 1]], 59/20736000], [[[1, 5], [2, 2], [3, 1], [5, 1], [6, 2], [24, 1]], 59/24883200], [[[1, 5], [2, 2], [3, 1], [5, 1], [6, 2], [30, 1]], 59/31104000], [[[1, 5], [2, 2], [3, 1], [5, 1], [6, 3], [7, 1]], 1/2612736], [[[1, 5], [2, 2], [3, 1], [5, 1], [6, 3], [9, 1]], 97/503884800], [[[1, 5], [2, 2], [3, 1], [5, 1], [6, 3], [14, 1]], 1/8709120], [[[1, 5], [2, 2], [3, 1], [5, 1], [6, 3], [18, 1]], 1/874800], [[[1, 5], [2, 2], [3, 1], [5, 1], [6, 4], [8, 1]], 1231/17915904000], [[[1, 5], [2, 2], [3, 1], [5, 1], [6, 4], [10, 1]], 1/18432000], [[[1, 5], [2, 2], [3, 1], [5, 1], [6, 4], [12, 1]], 7139/26873856000], [[[1, 5], [2, 2], [3, 1], [5, 1], [7, 1], [9, 1]], 13/302400], [[[1, 5], [2, 2], [3, 1], [5, 1], [7, 1], [14, 1]], 3/15680], [[[1, 5], [2, 2], [3, 1], [5, 1], [7, 1], [18, 1]], 1/36288], [[[1, 5], [2, 2], [3, 1], [5, 1], [8, 1], [10, 2]], 31/69120000], [[[1, 5], [2, 2], [3, 1], [5, 1], [8, 1], [12, 2]], 31/33177600], [[[1, 5], [2, 2], [3, 1], [5, 1], [8, 1], [15, 1]], 31/3456000], [[[1, 5], [2, 2], [3, 1], [5, 1], [8, 1], [16, 1]], 1/30720], [[[1, 5], [2, 2], [3, 1], [5, 1], [8, 1], [20, 1]], 31/2304000], [[[1, 5], [2, 2], [3, 1], [5, 1], [8, 1], [24, 1]], 31/2764800], [[[1, 5], [2, 2], [3, 1], [5, 1], [8, 1], [30, 1]], 31/3456000], [[[1, 5], [2, 2], [3, 1], [5, 1], [8, 2], [10, 1]], 1/1843200], [[[1, 5], [2, 2], [3, 1], [5, 1], [8, 2], [12, 1]], 29/33177600], [[[1, 5], [2, 2], [3, 1], [5, 1], [9, 1], [14, 1]], 1/50400], [[[1, 5], [2, 2], [3, 1], [5, 1], [9, 1], [18, 1]], 367/6998400], [[[1, 5], [2, 2], [3, 1], [5, 1], [10, 1], [12, 2]], 1/2764800], [[[1, 5], [2, 2], [3, 1], [5, 1], [10, 1], [15, 1]], 1/288000], [[[1, 5], [2, 2], [3, 1], [5, 1], [10, 1], [20, 1]], 1/192000], [[[1, 5], [2, 2], [3, 1], [5, 1], [10, 1], [24, 1]], 1/230400], [[[1, 5], [2, 2], [3, 1], [5, 1], [10, 1], [30, 1]], 1/288000], [[[1, 5], [2, 2], [3, 1], [5, 1], [10, 2], [12, 1]], 29/103680000], [[[1, 5], [2, 2], [3, 1], [5, 1], [12, 1], [15, 1]], 29/5184000], [[[1, 5], [2, 2], [3, 1], [5, 1], [12, 1], [20, 1]], 29/3456000], [[[1, 5], [2, 2], [3, 1], [5, 1], [12, 1], [24, 1]], 29/4147200], [[[1, 5], [2, 2], [3, 1], [5, 1], [12, 1], [30, 1]], 29/5184000], [[[1, 5], [2, 2], [3, 1], [5, 1], [14, 1], [18, 1]], 1/120960], [[[1, 5], [2, 2], [3, 1], [5, 2], [6, 1], [7, 1]], 1/806400], [[[1, 5], [2, 2], [3, 1], [5, 2], [6, 1], [9, 1]], 193/447897600], [[[1, 5], [2, 2], [3, 1], [5, 2], [6, 1], [14, 1]], 1/4838400], [[[1, 5], [2, 2], [3, 1], [5, 2], [6, 1], [18, 1]], 5381/1119744000], [[[1, 5], [2, 2], [3, 1], [5, 2], [6, 2], [8, 1]], 29/199065600], [[[1, 5], [2, 2], [3, 1], [5, 2], [6, 2], [10, 1]], 1/9216000], [[[1, 5], [2, 2], [3, 1], [5, 2], [6, 2], [12, 1]], 6041/5971968000], [[[1, 5], [2, 2], [3, 1], [5, 2], [8, 1], [12, 1]], 1/6635520], [[[1, 5], [2, 2], [3, 1], [5, 2], [10, 1], [12, 1]], 1/13824000], [[[1, 5], [2, 2], [3, 1], [6, 1], [7, 1], [8, 2]], 1/36864], [[[1, 5], [2, 2], [3, 1], [6, 1], [7, 1], [10, 2]], 1/806400], [[[1, 5], [2, 2], [3, 1], [6, 1], [7, 1], [12, 2]], 31/1161216], [[[1, 5], [2, 2], [3, 1], [6, 1], [7, 1], [15, 1]], 1/40320], [[[1, 5], [2, 2], [3, 1], [6, 1], [7, 1], [20, 1]], 1/26880], [[[1, 5], [2, 2], [3, 1], [6, 1], [7, 1], [24, 1]], 1/10752], [[[1, 5], [2, 2], [3, 1], [6, 1], [7, 1], [30, 1]], 1/40320], [[[1, 5], [2, 2], [3, 1], [6, 1], [8, 2], [9, 1]], 1129/143327232], [[[1, 5], [2, 2], [3, 1], [6, 1], [8, 2], [14, 1]], 1/1548288], [[[1, 5], [2, 2], [3, 1], [6, 1], [8, 2], [18, 1]], 377/358318080], [[[1, 5], [2, 2], [3, 1], [6, 1], [9, 1], [10, 2]], 193/447897600], [[[1, 5], [2, 2], [3, 1], [6, 1], [9, 1], [12, 2]], 1825/214990848], [[[1, 5], [2, 2], [3, 1], [6, 1], [9, 1], [15, 1]], 193/22394880], [[[1, 5], [2, 2], [3, 1], [6, 1], [9, 1], [20, 1]], 193/14929920], [[[1, 5], [2, 2], [3, 1], [6, 1], [9, 1], [24, 1]], 481/17915904], [[[1, 5], [2, 2], [3, 1], [6, 1], [9, 1], [30, 1]], 193/22394880], [[[1, 5], [2, 2], [3, 1], [6, 1], [10, 2], [14, 1]], 1/4838400], [[[1, 5], [2, 2], [3, 1], [6, 1], [10, 2], [18, 1]], 197/1119744000], [[[1, 5], [2, 2], [3, 1], [6, 1], [12, 2], [14, 1]], 1/331776], [[[1, 5], [2, 2], [3, 1], [6, 1], [12, 2], [18, 1]], 1277/537477120], [[[1, 5], [2, 2], [3, 1], [6, 1], [14, 1], [15, 1]], 1/241920], [[[1, 5], [2, 2], [3, 1], [6, 1], [14, 1], [20, 1]], 1/161280], [[[1, 5], [2, 2], [3, 1], [6, 1], [14, 1], [24, 1]], 1/193536], [[[1, 5], [2, 2], [3, 1], [6, 1], [14, 1], [30, 1]], 1/241920], [[[1, 5], [2, 2], [3, 1], [6, 1], [15, 1], [18, 1]], 197/55987200], [[[1, 5], [2, 2], [3, 1], [6, 1], [18, 1], [20, 1]], 197/37324800], [[[1, 5], [2, 2], [3, 1], [6, 1], [18, 1], [24, 1]], 197/44789760], [[[1, 5], [2, 2], [3, 1], [6, 1], [18, 1], [30, 1]], 197/55987200], [[[1, 5], [2, 2], [3, 1], [6, 2], [7, 1], [9, 1]], 1/186624], [[[1, 5], [2, 2], [3, 1], [6, 2], [7, 1], [14, 1]], 5/338688], [[[1, 5], [2, 2], [3, 1], [6, 2], [7, 1], [18, 1]], 11/653184], [[[1, 5], [2, 2], [3, 1], [6, 2], [8, 1], [10, 2]], 29/199065600], [[[1, 5], [2, 2], [3, 1], [6, 2], [8, 1], [12, 2]], 203/95551488], [[[1, 5], [2, 2], [3, 1], [6, 2], [8, 1], [15, 1]], 29/9953280], [[[1, 5], [2, 2], [3, 1], [6, 2], [8, 1], [16, 1]], 1/442368], [[[1, 5], [2, 2], [3, 1], [6, 2], [8, 1], [20, 1]], 29/6635520], [[[1, 5], [2, 2], [3, 1], [6, 2], [8, 1], [24, 1]], 29/7962624], [[[1, 5], [2, 2], [3, 1], [6, 2], [8, 1], [30, 1]], 29/9953280], [[[1, 5], [2, 2], [3, 1], [6, 2], [8, 2], [10, 1]], 1/2949120], [[[1, 5], [2, 2], [3, 1], [6, 2], [8, 2], [12, 1]], 2477/1911029760], [[[1, 5], [2, 2], [3, 1], [6, 2], [9, 1], [14, 1]], 1/653184], [[[1, 5], [2, 2], [3, 1], [6, 2], [9, 1], [18, 1]], 31/3359232], [[[1, 5], [2, 2], [3, 1], [6, 2], [10, 1], [12, 2]], 7/4423680], [[[1, 5], [2, 2], [3, 1], [6, 2], [10, 1], [15, 1]], 1/460800], [[[1, 5], [2, 2], [3, 1], [6, 2], [10, 1], [20, 1]], 1/307200], [[[1, 5], [2, 2], [3, 1], [6, 2], [10, 1], [24, 1]], 1/368640], [[[1, 5], [2, 2], [3, 1], [6, 2], [10, 1], [30, 1]], 1/460800], [[[1, 5], [2, 2], [3, 1], [6, 2], [10, 2], [12, 1]], 3737/5971968000], [[[1, 5], [2, 2], [3, 1], [6, 2], [12, 1], [15, 1]], 857/298598400], [[[1, 5], [2, 2], [3, 1], [6, 2], [12, 1], [20, 1]], 857/199065600], [[[1, 5], [2, 2], [3, 1], [6, 2], [12, 1], [24, 1]], 857/238878720], [[[1, 5], [2, 2], [3, 1], [6, 2], [12, 1], [30, 1]], 857/298598400], [[[1, 5], [2, 2], [3, 1], [6, 2], [14, 1], [18, 1]], 5/1741824], [[[1, 5], [2, 2], [3, 1], [6, 3], [7, 1], [8, 1]], 1/435456], [[[1, 5], [2, 2], [3, 1], [6, 3], [7, 1], [10, 1]], 1/483840], [[[1, 5], [2, 2], [3, 1], [6, 3], [7, 1], [12, 1]], 23/4478976], [[[1, 5], [2, 2], [3, 1], [6, 3], [8, 1], [9, 1]], 89/107495424], [[[1, 5], [2, 2], [3, 1], [6, 3], [8, 1], [14, 1]], 1/2322432], [[[1, 5], [2, 2], [3, 1], [6, 3], [8, 1], [18, 1]], 35/17915904], [[[1, 5], [2, 2], [3, 1], [6, 3], [9, 1], [10, 1]], 1/1399680], [[[1, 5], [2, 2], [3, 1], [6, 3], [9, 1], [12, 1]], 3497/1934917632], [[[1, 5], [2, 2], [3, 1], [6, 3], [10, 1], [14, 1]], 1/2903040], [[[1, 5], [2, 2], [3, 1], [6, 3], [10, 1], [18, 1]], 11/7464960], [[[1, 5], [2, 2], [3, 1], [6, 3], [12, 1], [14, 1]], 19/20901888], [[[1, 5], [2, 2], [3, 1], [6, 3], [12, 1], [18, 1]], 1237/537477120], [[[1, 5], [2, 2], [3, 1], [6, 4], [8, 1], [10, 1]], 1/4976640], [[[1, 5], [2, 2], [3, 1], [6, 4], [8, 1], [12, 1]], 1003/1719926784], [[[1, 5], [2, 2], [3, 1], [6, 4], [10, 1], [12, 1]], 179/398131200], [[[1, 5], [2, 2], [3, 1], [7, 1], [8, 1], [9, 1]], 1/41472], [[[1, 5], [2, 2], [3, 1], [7, 1], [8, 1], [14, 1]], 1/75264], [[[1, 5], [2, 2], [3, 1], [7, 1], [8, 1], [18, 1]], 1/96768], [[[1, 5], [2, 2], [3, 1], [7, 1], [9, 1], [10, 1]], 1/241920], [[[1, 5], [2, 2], [3, 1], [7, 1], [9, 1], [12, 1]], 11/435456], [[[1, 5], [2, 2], [3, 1], [7, 1], [12, 1], [14, 1]], 5/56448], [[[1, 5], [2, 2], [3, 1], [7, 1], [12, 1], [18, 1]], 1/54432], [[[1, 5], [2, 2], [3, 1], [8, 1], [9, 1], [14, 1]], 5/1161216], [[[1, 5], [2, 2], [3, 1], [8, 1], [9, 1], [18, 1]], 5/1492992], [[[1, 5], [2, 2], [3, 1], [8, 1], [10, 2], [12, 1]], 1/6635520], [[[1, 5], [2, 2], [3, 1], [8, 1], [12, 1], [15, 1]], 1/331776], [[[1, 5], [2, 2], [3, 1], [8, 1], [12, 1], [16, 1]], 1/73728], [[[1, 5], [2, 2], [3, 1], [8, 1], [12, 1], [20, 1]], 1/221184], [[[1, 5], [2, 2], [3, 1], [8, 1], [12, 1], [24, 1]], 5/1327104], [[[1, 5], [2, 2], [3, 1], [8, 1], [12, 1], [30, 1]], 1/331776], [[[1, 5], [2, 2], [3, 1], [8, 2], [10, 1], [12, 1]], 1/4423680], [[[1, 5], [2, 2], [3, 1], [9, 1], [12, 1], [14, 1]], 1/108864], [[[1, 5], [2, 2], [3, 1], [9, 1], [12, 1], [18, 1]], 19/839808], [[[1, 5], [2, 2], [3, 1], [10, 1], [12, 1], [15, 1]], 1/691200], [[[1, 5], [2, 2], [3, 1], [10, 1], [12, 1], [20, 1]], 1/460800], [[[1, 5], [2, 2], [3, 1], [10, 1], [12, 1], [24, 1]], 1/552960], [[[1, 5], [2, 2], [3, 1], [10, 1], [12, 1], [30, 1]], 1/691200], [[[1, 5], [2, 2], [3, 1], [12, 1], [14, 1], [18, 1]], 1/290304], [[[1, 5], [2, 2], [3, 2], [4, 1], [5, 1], [6, 4]], 3373/32248627200], [[[1, 5], [2, 2], [3, 2], [4, 1], [5, 1], [8, 2]], 691/39813120], [[[1, 5], [2, 2], [3, 2], [4, 1], [5, 1], [10, 2]], 43/124416000], [[[1, 5], [2, 2], [3, 2], [4, 1], [5, 1], [12, 2]], 4643/298598400], [[[1, 5], [2, 2], [3, 2], [4, 1], [5, 1], [15, 1]], 43/6220800], [[[1, 5], [2, 2], [3, 2], [4, 1], [5, 1], [20, 1]], 43/4147200], [[[1, 5], [2, 2], [3, 2], [4, 1], [5, 1], [24, 1]], 43/4976640], [[[1, 5], [2, 2], [3, 2], [4, 1], [5, 1], [30, 1]], 43/6220800], [[[1, 5], [2, 2], [3, 2], [4, 1], [5, 2], [6, 2]], 44213/31850496000], [[[1, 5], [2, 2], [3, 2], [4, 1], [5, 2], [8, 1]], 4597/199065600], [[[1, 5], [2, 2], [3, 2], [4, 1], [5, 2], [10, 1]], 131/24883200], [[[1, 5], [2, 2], [3, 2], [4, 1], [5, 2], [12, 1]], 792637/47775744000], [[[1, 5], [2, 2], [3, 2], [4, 1], [6, 2], [8, 2]], 21041/10192158720], [[[1, 5], [2, 2], [3, 2], [4, 1], [6, 2], [10, 2]], 3701/31850496000], [[[1, 5], [2, 2], [3, 2], [4, 1], [6, 2], [12, 2]], 425993/45864714240], [[[1, 5], [2, 2], [3, 2], [4, 1], [6, 2], [15, 1]], 3701/1592524800], [[[1, 5], [2, 2], [3, 2], [4, 1], [6, 2], [16, 1]], 1/27648], [[[1, 5], [2, 2], [3, 2], [4, 1], [6, 2], [20, 1]], 3701/1061683200], [[[1, 5], [2, 2], [3, 2], [4, 1], [6, 2], [24, 1]], 51293/1274019840], [[[1, 5], [2, 2], [3, 2], [4, 1], [6, 2], [30, 1]], 3701/1592524800], [[[1, 5], [2, 2], [3, 2], [4, 1], [6, 3], [7, 1]], 11/6967296], [[[1, 5], [2, 2], [3, 2], [4, 1], [6, 3], [9, 1]], 83/107495424], [[[1, 5], [2, 2], [3, 2], [4, 1], [6, 3], [14, 1]], 17/55738368], [[[1, 5], [2, 2], [3, 2], [4, 1], [6, 3], [18, 1]], 4381/2866544640], [[[1, 5], [2, 2], [3, 2], [4, 1], [6, 4], [8, 1]], 10763/25798901760], [[[1, 5], [2, 2], [3, 2], [4, 1], [6, 4], [10, 1]], 6487/32248627200], [[[1, 5], [2, 2], [3, 2], [4, 1], [6, 4], [12, 1]], 6668719/12383472844800], [[[1, 5], [2, 2], [3, 2], [4, 1], [7, 1], [9, 1]], 1/145152], [[[1, 5], [2, 2], [3, 2], [4, 1], [7, 1], [14, 1]], 1/41472], [[[1, 5], [2, 2], [3, 2], [4, 1], [8, 1], [10, 2]], 61/199065600], [[[1, 5], [2, 2], [3, 2], [4, 1], [8, 1], [12, 2]], 1141/95551488], [[[1, 5], [2, 2], [3, 2], [4, 1], [8, 1], [15, 1]], 61/9953280], [[[1, 5], [2, 2], [3, 2], [4, 1], [8, 1], [16, 1]], 35/663552], [[[1, 5], [2, 2], [3, 2], [4, 1], [8, 1], [20, 1]], 173/6635520], [[[1, 5], [2, 2], [3, 2], [4, 1], [8, 1], [24, 1]], 95/2654208], [[[1, 5], [2, 2], [3, 2], [4, 1], [8, 1], [30, 1]], 61/9953280], [[[1, 5], [2, 2], [3, 2], [4, 1], [8, 2], [10, 1]], 7/39813120], [[[1, 5], [2, 2], [3, 2], [4, 1], [8, 2], [12, 1]], 143449/15288238080], [[[1, 5], [2, 2], [3, 2], [4, 1], [9, 1], [14, 1]], 1/580608], [[[1, 5], [2, 2], [3, 2], [4, 1], [9, 1], [18, 1]], 5/248832], [[[1, 5], [2, 2], [3, 2], [4, 1], [10, 1], [12, 2]], 133/59719680], [[[1, 5], [2, 2], [3, 2], [4, 1], [10, 1], [15, 1]], 7/6220800], [[[1, 5], [2, 2], [3, 2], [4, 1], [10, 1], [20, 1]], 7/4147200], [[[1, 5], [2, 2], [3, 2], [4, 1], [10, 1], [24, 1]], 7/4976640], [[[1, 5], [2, 2], [3, 2], [4, 1], [10, 1], [30, 1]], 7/6220800], [[[1, 5], [2, 2], [3, 2], [4, 1], [10, 2], [12, 1]], 13309/47775744000], [[[1, 5], [2, 2], [3, 2], [4, 1], [12, 1], [15, 1]], 13309/2388787200], [[[1, 5], [2, 2], [3, 2], [4, 1], [12, 1], [16, 1]], 7/497664], [[[1, 5], [2, 2], [3, 2], [4, 1], [12, 1], [20, 1]], 31229/1592524800], [[[1, 5], [2, 2], [3, 2], [4, 1], [12, 1], [24, 1]], 40189/1911029760], [[[1, 5], [2, 2], [3, 2], [4, 1], [12, 1], [30, 1]], 13309/2388787200], [[[1, 5], [2, 2], [3, 2], [4, 2], [5, 1], [6, 3]], 5239/21499084800], [[[1, 5], [2, 2], [3, 2], [4, 2], [5, 1], [7, 1]], 1/645120], [[[1, 5], [2, 2], [3, 2], [4, 2], [5, 1], [9, 1]], 161/39813120], [[[1, 5], [2, 2], [3, 2], [4, 2], [5, 1], [14, 1]], 1/645120], [[[1, 5], [2, 2], [3, 2], [4, 2], [5, 1], [18, 1]], 7/7464960], [[[1, 5], [2, 2], [3, 2], [4, 2], [5, 2], [6, 1]], 22411/7166361600], [[[1, 5], [2, 2], [3, 2], [4, 2], [6, 1], [8, 2]], 8587/2293235712], [[[1, 5], [2, 2], [3, 2], [4, 2], [6, 1], [10, 2]], 811/7166361600], [[[1, 5], [2, 2], [3, 2], [4, 2], [6, 1], [12, 2]], 203993/3439853568], [[[1, 5], [2, 2], [3, 2], [4, 2], [6, 1], [15, 1]], 811/358318080], [[[1, 5], [2, 2], [3, 2], [4, 2], [6, 1], [16, 1]], 1/36864], [[[1, 5], [2, 2], [3, 2], [4, 2], [6, 1], [20, 1]], 811/238878720], [[[1, 5], [2, 2], [3, 2], [4, 2], [6, 1], [24, 1]], 9451/286654464], [[[1, 5], [2, 2], [3, 2], [4, 2], [6, 1], [30, 1]], 811/358318080], [[[1, 5], [2, 2], [3, 2], [4, 2], [6, 2], [7, 1]], 8429/254803968], [[[1, 5], [2, 2], [3, 2], [4, 2], [6, 2], [9, 1]], 20771/2293235712], [[[1, 5], [2, 2], [3, 2], [4, 2], [6, 2], [14, 1]], 167/891813888], [[[1, 5], [2, 2], [3, 2], [4, 2], [6, 2], [18, 1]], 3571/2579890176], [[[1, 5], [2, 2], [3, 2], [4, 2], [6, 3], [8, 1]], 37195/9172942848], [[[1, 5], [2, 2], [3, 2], [4, 2], [6, 3], [10, 1]], 115/382205952], [[[1, 5], [2, 2], [3, 2], [4, 2], [6, 3], [12, 1]], 997985/92876046336], [[[1, 5], [2, 2], [3, 2], [4, 2], [7, 1], [8, 1]], 1/774144], [[[1, 5], [2, 2], [3, 2], [4, 2], [7, 1], [12, 1]], 1621/382205952], [[[1, 5], [2, 2], [3, 2], [4, 2], [8, 1], [9, 1]], 191/31850496], [[[1, 5], [2, 2], [3, 2], [4, 2], [8, 1], [14, 1]], 1/1548288], [[[1, 5], [2, 2], [3, 2], [4, 2], [8, 1], [18, 1]], 1/1990656], [[[1, 5], [2, 2], [3, 2], [4, 2], [9, 1], [10, 1]], 7/4976640], [[[1, 5], [2, 2], [3, 2], [4, 2], [9, 1], [12, 1]], 82471/17199267840], [[[1, 5], [2, 2], [3, 2], [4, 2], [12, 1], [14, 1]], 361/191102976], [[[1, 5], [2, 2], [3, 2], [4, 2], [12, 1], [18, 1]], 1685/1289945088], [[[1, 5], [2, 2], [3, 2], [4, 3], [5, 1], [6, 2]], 2189/12740198400], [[[1, 5], [2, 2], [3, 2], [4, 3], [5, 1], [8, 1]], 7/2211840], [[[1, 5], [2, 2], [3, 2], [4, 3], [5, 1], [10, 1]], 1/1382400], [[[1, 5], [2, 2], [3, 2], [4, 3], [5, 1], [12, 1]], 97781/19110297600], [[[1, 5], [2, 2], [3, 2], [4, 3], [6, 1], [7, 1]], 5/5308416], [[[1, 5], [2, 2], [3, 2], [4, 3], [6, 1], [9, 1]], 5/5971968], [[[1, 5], [2, 2], [3, 2], [4, 3], [6, 1], [14, 1]], 1/2322432], [[[1, 5], [2, 2], [3, 2], [4, 3], [6, 1], [18, 1]], 133/214990848], [[[1, 5], [2, 2], [3, 2], [4, 3], [6, 2], [8, 1]], 88249/8153726976], [[[1, 5], [2, 2], [3, 2], [4, 3], [6, 2], [10, 1]], 781/2548039680], [[[1, 5], [2, 2], [3, 2], [4, 3], [6, 2], [12, 1]], 333653/22932357120], [[[1, 5], [2, 2], [3, 2], [4, 3], [8, 1], [10, 1]], 1/2211840], [[[1, 5], [2, 2], [3, 2], [4, 3], [8, 1], [12, 1]], 112769/12230590464], [[[1, 5], [2, 2], [3, 2], [4, 3], [10, 1], [12, 1]], 4213/3822059520], [[[1, 5], [2, 2], [3, 2], [4, 4], [5, 1], [6, 1]], 51977/47775744000], [[[1, 5], [2, 2], [3, 2], [4, 4], [6, 1], [8, 1]], 720389/91729428480], [[[1, 5], [2, 2], [3, 2], [4, 4], [6, 1], [10, 1]], 293/895795200], [[[1, 5], [2, 2], [3, 2], [4, 4], [6, 1], [12, 1]], 12602669/550376570880], [[[1, 5], [2, 2], [3, 2], [5, 1], [6, 1], [8, 2]], 2537/199065600], [[[1, 5], [2, 2], [3, 2], [5, 1], [6, 1], [10, 2]], 377/622080000], [[[1, 5], [2, 2], [3, 2], [5, 1], [6, 1], [12, 2]], 3839/298598400], [[[1, 5], [2, 2], [3, 2], [5, 1], [6, 1], [15, 1]], 377/31104000], [[[1, 5], [2, 2], [3, 2], [5, 1], [6, 1], [20, 1]], 377/20736000], [[[1, 5], [2, 2], [3, 2], [5, 1], [6, 1], [24, 1]], 1097/24883200], [[[1, 5], [2, 2], [3, 2], [5, 1], [6, 1], [30, 1]], 377/31104000], [[[1, 5], [2, 2], [3, 2], [5, 1], [6, 2], [7, 1]], 43/9676800], [[[1, 5], [2, 2], [3, 2], [5, 1], [6, 2], [9, 1]], 47/14929920], [[[1, 5], [2, 2], [3, 2], [5, 1], [6, 2], [14, 1]], 1/460800], [[[1, 5], [2, 2], [3, 2], [5, 1], [6, 2], [18, 1]], 41/4976640], [[[1, 5], [2, 2], [3, 2], [5, 1], [6, 3], [8, 1]], 673/597196800], [[[1, 5], [2, 2], [3, 2], [5, 1], [6, 3], [10, 1]], 121/20736000], [[[1, 5], [2, 2], [3, 2], [5, 1], [6, 3], [12, 1]], 6763/2687385600], [[[1, 5], [2, 2], [3, 2], [5, 1], [7, 1], [8, 1]], 1/53760], [[[1, 5], [2, 2], [3, 2], [5, 1], [7, 1], [12, 1]], 43/1612800], [[[1, 5], [2, 2], [3, 2], [5, 1], [8, 1], [9, 1]], 1/76800], [[[1, 5], [2, 2], [3, 2], [5, 1], [8, 1], [14, 1]], 1/161280], [[[1, 5], [2, 2], [3, 2], [5, 1], [8, 1], [18, 1]], 1/207360], [[[1, 5], [2, 2], [3, 2], [5, 1], [9, 1], [10, 1]], 1/518400], [[[1, 5], [2, 2], [3, 2], [5, 1], [9, 1], [12, 1]], 13/829440], [[[1, 5], [2, 2], [3, 2], [5, 1], [12, 1], [14, 1]], 1/76800], [[[1, 5], [2, 2], [3, 2], [5, 1], [12, 1], [18, 1]], 337/37324800], [[[1, 5], [2, 2], [3, 2], [5, 2], [6, 1], [8, 1]], 5393/1194393600], [[[1, 5], [2, 2], [3, 2], [5, 2], [6, 1], [10, 1]], 1729/23328000], [[[1, 5], [2, 2], [3, 2], [5, 2], [6, 1], [12, 1]], 37219/7166361600], [[[1, 5], [2, 2], [3, 2], [6, 1], [7, 1], [9, 1]], 11/653184], [[[1, 5], [2, 2], [3, 2], [6, 1], [7, 1], [14, 1]], 1/451584], [[[1, 5], [2, 2], [3, 2], [6, 1], [7, 1], [18, 1]], 71/15676416], [[[1, 5], [2, 2], [3, 2], [6, 1], [8, 1], [10, 2]], 209/1194393600], [[[1, 5], [2, 2], [3, 2], [6, 1], [8, 1], [12, 2]], 2135/573308928], [[[1, 5], [2, 2], [3, 2], [6, 1], [8, 1], [15, 1]], 209/59719680], [[[1, 5], [2, 2], [3, 2], [6, 1], [8, 1], [20, 1]], 209/39813120], [[[1, 5], [2, 2], [3, 2], [6, 1], [8, 1], [24, 1]], 209/47775744], [[[1, 5], [2, 2], [3, 2], [6, 1], [8, 1], [30, 1]], 209/59719680], [[[1, 5], [2, 2], [3, 2], [6, 1], [8, 2], [10, 1]], 1/7464960], [[[1, 5], [2, 2], [3, 2], [6, 1], [8, 2], [12, 1]], 13243/2293235712], [[[1, 5], [2, 2], [3, 2], [6, 1], [9, 1], [14, 1]], 5/1741824], [[[1, 5], [2, 2], [3, 2], [6, 1], [9, 1], [18, 1]], 821/100776960], [[[1, 5], [2, 2], [3, 2], [6, 1], [10, 1], [12, 2]], 19/11197440], [[[1, 5], [2, 2], [3, 2], [6, 1], [10, 1], [15, 1]], 1/1166400], [[[1, 5], [2, 2], [3, 2], [6, 1], [10, 1], [20, 1]], 1/777600], [[[1, 5], [2, 2], [3, 2], [6, 1], [10, 1], [24, 1]], 1/933120], [[[1, 5], [2, 2], [3, 2], [6, 1], [10, 1], [30, 1]], 1/1166400], [[[1, 5], [2, 2], [3, 2], [6, 1], [10, 2], [12, 1]], 2659/7166361600], [[[1, 5], [2, 2], [3, 2], [6, 1], [12, 1], [15, 1]], 2659/358318080], [[[1, 5], [2, 2], [3, 2], [6, 1], [12, 1], [20, 1]], 2659/238878720], [[[1, 5], [2, 2], [3, 2], [6, 1], [12, 1], [24, 1]], 6115/286654464], [[[1, 5], [2, 2], [3, 2], [6, 1], [12, 1], [30, 1]], 2659/358318080], [[[1, 5], [2, 2], [3, 2], [6, 1], [14, 1], [18, 1]], 1/979776], [[[1, 5], [2, 2], [3, 2], [6, 2], [7, 1], [8, 1]], 17/4644864], [[[1, 5], [2, 2], [3, 2], [6, 2], [7, 1], [10, 1]], 1/860160], [[[1, 5], [2, 2], [3, 2], [6, 2], [7, 1], [12, 1]], 31/5971968], [[[1, 5], [2, 2], [3, 2], [6, 2], [8, 1], [9, 1]], 67/23887872], [[[1, 5], [2, 2], [3, 2], [6, 2], [8, 1], [14, 1]], 17/37158912], [[[1, 5], [2, 2], [3, 2], [6, 2], [8, 1], [18, 1]], 989/429981696], [[[1, 5], [2, 2], [3, 2], [6, 2], [9, 1], [10, 1]], 1/663552], [[[1, 5], [2, 2], [3, 2], [6, 2], [9, 1], [12, 1]], 1907/537477120], [[[1, 5], [2, 2], [3, 2], [6, 2], [10, 1], [18, 1]], 1/2099520], [[[1, 5], [2, 2], [3, 2], [6, 2], [12, 1], [14, 1]], 1/746496], [[[1, 5], [2, 2], [3, 2], [6, 2], [12, 1], [18, 1]], 3275/644972544], [[[1, 5], [2, 2], [3, 2], [6, 3], [8, 1], [10, 1]], 17/79626240], [[[1, 5], [2, 2], [3, 2], [6, 3], [8, 1], [12, 1]], 715/573308928], [[[1, 5], [2, 2], [3, 2], [6, 3], [10, 1], [12, 1]], 7/11197440], [[[1, 5], [2, 2], [3, 2], [7, 1], [8, 1], [12, 1]], 11/774144], [[[1, 5], [2, 2], [3, 2], [7, 1], [10, 1], [12, 1]], 1/1290240], [[[1, 5], [2, 2], [3, 2], [8, 1], [9, 1], [12, 1]], 1/147456], [[[1, 5], [2, 2], [3, 2], [8, 1], [12, 1], [14, 1]], 17/6193152], [[[1, 5], [2, 2], [3, 2], [8, 1], [12, 1], [18, 1]], 17/7962624], [[[1, 5], [2, 2], [3, 2], [9, 1], [10, 1], [12, 1]], 1/995328], [[[1, 5], [2, 2], [3, 3], [4, 1], [5, 1], [6, 3]], 709/403107840], [[[1, 5], [2, 2], [3, 3], [4, 1], [5, 1], [7, 1]], 1/3483648], [[[1, 5], [2, 2], [3, 3], [4, 1], [5, 1], [9, 1]], 53/13436928], [[[1, 5], [2, 2], [3, 3], [4, 1], [5, 1], [14, 1]], 1/17418240], [[[1, 5], [2, 2], [3, 3], [4, 1], [5, 1], [18, 1]], 1/22394880], [[[1, 5], [2, 2], [3, 3], [4, 1], [5, 2], [6, 1]], 19699/5374771200], [[[1, 5], [2, 2], [3, 3], [4, 1], [6, 1], [8, 2]], 997/1719926784], [[[1, 5], [2, 2], [3, 3], [4, 1], [6, 1], [10, 2]], 403/5374771200], [[[1, 5], [2, 2], [3, 3], [4, 1], [6, 1], [12, 2]], 13093/2579890176], [[[1, 5], [2, 2], [3, 3], [4, 1], [6, 1], [15, 1]], 259/268738560], [[[1, 5], [2, 2], [3, 3], [4, 1], [6, 1], [16, 1]], 7/497664], [[[1, 5], [2, 2], [3, 3], [4, 1], [6, 1], [20, 1]], 259/179159040], [[[1, 5], [2, 2], [3, 3], [4, 1], [6, 1], [24, 1]], 3283/214990848], [[[1, 5], [2, 2], [3, 3], [4, 1], [6, 1], [30, 1]], 259/268738560], [[[1, 5], [2, 2], [3, 3], [4, 1], [6, 2], [7, 1]], 5/4644864], [[[1, 5], [2, 2], [3, 3], [4, 1], [6, 2], [9, 1]], 509/318504960], [[[1, 5], [2, 2], [3, 3], [4, 1], [6, 2], [14, 1]], 1/18579456], [[[1, 5], [2, 2], [3, 3], [4, 1], [6, 2], [18, 1]], 1117/1934917632], [[[1, 5], [2, 2], [3, 3], [4, 1], [6, 3], [8, 1]], 18349/15479341056], [[[1, 5], [2, 2], [3, 3], [4, 1], [6, 3], [10, 1]], 407/3224862720], [[[1, 5], [2, 2], [3, 3], [4, 1], [6, 3], [12, 1]], 52571/7739670528], [[[1, 5], [2, 2], [3, 3], [4, 1], [7, 1], [8, 1]], 29/27869184], [[[1, 5], [2, 2], [3, 3], [4, 1], [7, 1], [10, 1]], 1/3483648], [[[1, 5], [2, 2], [3, 3], [4, 1], [7, 1], [12, 1]], 37/20901888], [[[1, 5], [2, 2], [3, 3], [4, 1], [8, 1], [9, 1]], 409/107495424], [[[1, 5], [2, 2], [3, 3], [4, 1], [8, 1], [14, 1]], 5/18579456], [[[1, 5], [2, 2], [3, 3], [4, 1], [8, 1], [18, 1]], 43/214990848], [[[1, 5], [2, 2], [3, 3], [4, 1], [9, 1], [10, 1]], 49/67184640], [[[1, 5], [2, 2], [3, 3], [4, 1], [9, 1], [12, 1]], 48647/12899450880], [[[1, 5], [2, 2], [3, 3], [4, 1], [10, 1], [14, 1]], 1/17418240], [[[1, 5], [2, 2], [3, 3], [4, 1], [10, 1], [18, 1]], 1/22394880], [[[1, 5], [2, 2], [3, 3], [4, 1], [12, 1], [14, 1]], 5/11943936], [[[1, 5], [2, 2], [3, 3], [4, 1], [12, 1], [18, 1]], 35/107495424], [[[1, 5], [2, 2], [3, 3], [4, 2], [5, 1], [6, 2]], 19729/1274019840], [[[1, 5], [2, 2], [3, 3], [4, 2], [5, 1], [8, 1]], 31/39813120], [[[1, 5], [2, 2], [3, 3], [4, 2], [5, 1], [10, 1]], 11/24883200], [[[1, 5], [2, 2], [3, 3], [4, 2], [5, 1], [12, 1]], 204517/85996339200], [[[1, 5], [2, 2], [3, 3], [4, 2], [6, 1], [7, 1]], 1/3919104], [[[1, 5], [2, 2], [3, 3], [4, 2], [6, 1], [9, 1]], 2669/1934917632], [[[1, 5], [2, 2], [3, 3], [4, 2], [6, 1], [14, 1]], 1/9289728], [[[1, 5], [2, 2], [3, 3], [4, 2], [6, 1], [18, 1]], 983/5159780352], [[[1, 5], [2, 2], [3, 3], [4, 2], [6, 2], [8, 1]], 511/1019215872], [[[1, 5], [2, 2], [3, 3], [4, 2], [6, 2], [10, 1]], 1/10616832], [[[1, 5], [2, 2], [3, 3], [4, 2], [6, 2], [12, 1]], 4872491/412782428160], [[[1, 5], [2, 2], [3, 3], [4, 2], [8, 1], [10, 1]], 7/39813120], [[[1, 5], [2, 2], [3, 3], [4, 2], [8, 1], [12, 1]], 34991/13759414272], [[[1, 5], [2, 2], [3, 3], [4, 2], [10, 1], [12, 1]], 49/143327232], [[[1, 5], [2, 2], [3, 3], [4, 3], [5, 1], [6, 1]], 41/79626240], [[[1, 5], [2, 2], [3, 3], [4, 3], [6, 1], [8, 1]], 647/382205952], [[[1, 5], [2, 2], [3, 3], [4, 3], [6, 1], [10, 1]], 11/143327232], [[[1, 5], [2, 2], [3, 3], [4, 3], [6, 1], [12, 1]], 116351/20639121408], [[[1, 5], [2, 2], [3, 3], [5, 1], [6, 1], [7, 1]], 1/290304], [[[1, 5], [2, 2], [3, 3], [5, 1], [6, 1], [9, 1]], 457/55987200], [[[1, 5], [2, 2], [3, 3], [5, 1], [6, 1], [14, 1]], 1/967680], [[[1, 5], [2, 2], [3, 3], [5, 1], [6, 1], [18, 1]], 547/251942400], [[[1, 5], [2, 2], [3, 3], [5, 1], [6, 2], [8, 1]], 13/7372800], [[[1, 5], [2, 2], [3, 3], [5, 1], [6, 2], [10, 1]], 1/1843200], [[[1, 5], [2, 2], [3, 3], [5, 1], [6, 2], [12, 1]], 7061/2687385600], [[[1, 5], [2, 2], [3, 3], [5, 1], [8, 1], [12, 1]], 77/11059200], [[[1, 5], [2, 2], [3, 3], [5, 1], [10, 1], [12, 1]], 1/2764800], [[[1, 5], [2, 2], [3, 3], [6, 1], [7, 1], [8, 1]], 1/653184], [[[1, 5], [2, 2], [3, 3], [6, 1], [7, 1], [10, 1]], 1/4354560], [[[1, 5], [2, 2], [3, 3], [6, 1], [7, 1], [12, 1]], 23/4478976], [[[1, 5], [2, 2], [3, 3], [6, 1], [8, 1], [9, 1]], 763/322486272], [[[1, 5], [2, 2], [3, 3], [6, 1], [8, 1], [14, 1]], 1/20901888], [[[1, 5], [2, 2], [3, 3], [6, 1], [8, 1], [18, 1]], 95/161243136], [[[1, 5], [2, 2], [3, 3], [6, 1], [9, 1], [10, 1]], 7/12597120], [[[1, 5], [2, 2], [3, 3], [6, 1], [9, 1], [12, 1]], 11465/1934917632], [[[1, 5], [2, 2], [3, 3], [6, 1], [10, 1], [14, 1]], 1/26127360], [[[1, 5], [2, 2], [3, 3], [6, 1], [10, 1], [18, 1]], 1/22394880], [[[1, 5], [2, 2], [3, 3], [6, 1], [12, 1], [14, 1]], 19/20901888], [[[1, 5], [2, 2], [3, 3], [6, 1], [12, 1], [18, 1]], 877/537477120], [[[1, 5], [2, 2], [3, 3], [6, 2], [8, 1], [10, 1]], 1/44789760], [[[1, 5], [2, 2], [3, 3], [6, 2], [8, 1], [12, 1]], 1139/859963392], [[[1, 5], [2, 2], [3, 3], [6, 2], [10, 1], [12, 1]], 19/39813120], [[[1, 5], [2, 2], [3, 4], [4, 1], [5, 1], [6, 2]], 115/214990848], [[[1, 5], [2, 2], [3, 4], [4, 1], [5, 1], [8, 1]], 12473/23887872000], [[[1, 5], [2, 2], [3, 4], [4, 1], [5, 1], [10, 1]], 2011/14929920000], [[[1, 5], [2, 2], [3, 4], [4, 1], [5, 1], [12, 1]], 9161/8957952000], [[[1, 5], [2, 2], [3, 4], [4, 1], [6, 1], [7, 1]], 101/627056640], [[[1, 5], [2, 2], [3, 4], [4, 1], [6, 1], [9, 1]], 383/644972544], [[[1, 5], [2, 2], [3, 4], [4, 1], [6, 1], [14, 1]], 23/716636160], [[[1, 5], [2, 2], [3, 4], [4, 1], [6, 1], [18, 1]], 16061/257989017600], [[[1, 5], [2, 2], [3, 4], [4, 1], [6, 2], [8, 1]], 2279/11466178560], [[[1, 5], [2, 2], [3, 4], [4, 1], [6, 2], [10, 1]], 511/10749542400], [[[1, 5], [2, 2], [3, 4], [4, 1], [6, 2], [12, 1]], 907751813/4127824281600], [[[1, 5], [2, 2], [3, 4], [4, 1], [8, 1], [10, 1]], 13/382205952], [[[1, 5], [2, 2], [3, 4], [4, 1], [8, 1], [12, 1]], 2851/2866544640], [[[1, 5], [2, 2], [3, 4], [4, 1], [10, 1], [12, 1]], 7/35831808], [[[1, 5], [2, 2], [3, 4], [4, 2], [5, 1], [6, 1]], 30431/214990848000], [[[1, 5], [2, 2], [3, 4], [4, 2], [6, 1], [8, 1]], 139097/275188285440], [[[1, 5], [2, 2], [3, 4], [4, 2], [6, 1], [10, 1]], 5471/171992678400], [[[1, 5], [2, 2], [3, 4], [4, 2], [6, 1], [12, 1]], 428999/309586821120], [[[1, 5], [2, 2], [3, 4], [5, 1], [6, 1], [8, 1]], 12811/17915904000], [[[1, 5], [2, 2], [3, 4], [5, 1], [6, 1], [10, 1]], 1201/1866240000], [[[1, 5], [2, 2], [3, 4], [5, 1], [6, 1], [12, 1]], 65947/26873856000], [[[1, 5], [2, 2], [3, 4], [6, 1], [8, 1], [10, 1]], 161/7166361600], [[[1, 5], [2, 2], [3, 4], [6, 1], [8, 1], [12, 1]], 12193/17199267840], [[[1, 5], [2, 2], [3, 4], [6, 1], [10, 1], [12, 1]], 1/6718464], [[[1, 5], [2, 2], [3, 5], [4, 1], [5, 1], [6, 1]], 61/746496000], [[[1, 5], [2, 2], [3, 5], [4, 1], [6, 1], [8, 1]], 161/3439853568], [[[1, 5], [2, 2], [3, 5], [4, 1], [6, 1], [10, 1]], 23/3583180800], [[[1, 5], [2, 2], [3, 5], [4, 1], [6, 1], [12, 1]], 94643/8599633920], [[[1, 5], [2, 2], [4, 1], [5, 1], [6, 2], [12, 2]], 11/16588800], [[[1, 5], [2, 2], [4, 1], [5, 1], [6, 3], [7, 1]], 1/5806080], [[[1, 5], [2, 2], [4, 1], [5, 1], [6, 3], [9, 1]], 1/22394880], [[[1, 5], [2, 2], [4, 1], [5, 1], [6, 4], [8, 1]], 73/23887872000], [[[1, 5], [2, 2], [4, 1], [5, 1], [6, 4], [10, 1]], 11/14929920000], [[[1, 5], [2, 2], [4, 1], [5, 1], [6, 4], [12, 1]], 11/8957952000], [[[1, 5], [2, 2], [4, 1], [5, 1], [7, 1], [9, 1]], 1/48384], [[[1, 5], [2, 2], [4, 1], [5, 1], [7, 1], [14, 1]], 23/235200], [[[1, 5], [2, 2], [4, 1], [5, 1], [7, 1], [18, 1]], 1/80640], [[[1, 5], [2, 2], [4, 1], [5, 1], [8, 1], [10, 2]], 73/92160000], [[[1, 5], [2, 2], [4, 1], [5, 1], [8, 1], [12, 2]], 73/44236800], [[[1, 5], [2, 2], [4, 1], [5, 1], [8, 1], [15, 1]], 73/4608000], [[[1, 5], [2, 2], [4, 1], [5, 1], [8, 1], [16, 1]], 11/61440], [[[1, 5], [2, 2], [4, 1], [5, 1], [8, 1], [20, 1]], 83/1024000], [[[1, 5], [2, 2], [4, 1], [5, 1], [8, 1], [24, 1]], 17/147456], [[[1, 5], [2, 2], [4, 1], [5, 1], [8, 1], [30, 1]], 73/4608000], [[[1, 5], [2, 2], [4, 1], [5, 1], [8, 2], [10, 1]], 311/18432000], [[[1, 5], [2, 2], [4, 1], [5, 1], [8, 2], [12, 1]], 11/11059200], [[[1, 5], [2, 2], [4, 1], [5, 1], [9, 1], [14, 1]], 1/241920], [[[1, 5], [2, 2], [4, 1], [5, 1], [9, 1], [18, 1]], 13/194400], [[[1, 5], [2, 2], [4, 1], [5, 1], [10, 1], [12, 2]], 11/27648000], [[[1, 5], [2, 2], [4, 1], [5, 1], [10, 1], [15, 1]], 11/2880000], [[[1, 5], [2, 2], [4, 1], [5, 1], [10, 1], [20, 1]], 11/1920000], [[[1, 5], [2, 2], [4, 1], [5, 1], [10, 1], [24, 1]], 11/2304000], [[[1, 5], [2, 2], [4, 1], [5, 1], [10, 1], [30, 1]], 11/2880000], [[[1, 5], [2, 2], [4, 1], [5, 1], [10, 2], [12, 1]], 11/34560000], [[[1, 5], [2, 2], [4, 1], [5, 1], [12, 1], [15, 1]], 11/1728000], [[[1, 5], [2, 2], [4, 1], [5, 1], [12, 1], [16, 1]], 11/230400], [[[1, 5], [2, 2], [4, 1], [5, 1], [12, 1], [20, 1]], 11/230400], [[[1, 5], [2, 2], [4, 1], [5, 1], [12, 1], [24, 1]], 77/1382400], [[[1, 5], [2, 2], [4, 1], [5, 1], [12, 1], [30, 1]], 11/1728000], [[[1, 5], [2, 2], [4, 1], [5, 2], [6, 1], [7, 1]], 1/2419200], [[[1, 5], [2, 2], [4, 1], [5, 2], [6, 1], [9, 1]], 1/7464960], [[[1, 5], [2, 2], [4, 1], [5, 2], [6, 1], [14, 1]], 1/19353600], [[[1, 5], [2, 2], [4, 1], [5, 2], [6, 1], [18, 1]], 2173/995328000], [[[1, 5], [2, 2], [4, 1], [5, 2], [6, 2], [8, 1]], 7/132710400], [[[1, 5], [2, 2], [4, 1], [5, 2], [6, 2], [10, 1]], 1/41472000], [[[1, 5], [2, 2], [4, 1], [5, 2], [6, 2], [12, 1]], 2293/5308416000], [[[1, 5], [2, 2], [4, 1], [5, 2], [8, 1], [10, 1]], 2117/36864000], [[[1, 5], [2, 2], [4, 1], [5, 2], [8, 1], [12, 1]], 1/11059200], [[[1, 5], [2, 2], [4, 1], [6, 1], [7, 1], [8, 2]], 1/27648], [[[1, 5], [2, 2], [4, 1], [6, 1], [7, 1], [10, 2]], 19/2419200], [[[1, 5], [2, 2], [4, 1], [6, 1], [7, 1], [12, 2]], 19/1161216], [[[1, 5], [2, 2], [4, 1], [6, 1], [7, 1], [15, 1]], 1/120960], [[[1, 5], [2, 2], [4, 1], [6, 1], [7, 1], [20, 1]], 1/80640], [[[1, 5], [2, 2], [4, 1], [6, 1], [7, 1], [24, 1]], 1/96768], [[[1, 5], [2, 2], [4, 1], [6, 1], [7, 1], [30, 1]], 1/120960], [[[1, 5], [2, 2], [4, 1], [6, 1], [8, 2], [9, 1]], 131/11943936], [[[1, 5], [2, 2], [4, 1], [6, 1], [8, 2], [14, 1]], 19/6193152], [[[1, 5], [2, 2], [4, 1], [6, 1], [8, 2], [18, 1]], 1801/318504960], [[[1, 5], [2, 2], [4, 1], [6, 1], [9, 1], [10, 2]], 77/37324800], [[[1, 5], [2, 2], [4, 1], [6, 1], [9, 1], [12, 2]], 77/17915904], [[[1, 5], [2, 2], [4, 1], [6, 1], [9, 1], [15, 1]], 1/373248], [[[1, 5], [2, 2], [4, 1], [6, 1], [9, 1], [20, 1]], 1/248832], [[[1, 5], [2, 2], [4, 1], [6, 1], [9, 1], [24, 1]], 5/1492992], [[[1, 5], [2, 2], [4, 1], [6, 1], [9, 1], [30, 1]], 1/373248], [[[1, 5], [2, 2], [4, 1], [6, 1], [10, 2], [14, 1]], 1/19353600], [[[1, 5], [2, 2], [4, 1], [6, 1], [10, 2], [18, 1]], 61/995328000], [[[1, 5], [2, 2], [4, 1], [6, 1], [12, 2], [14, 1]], 1/9289728], [[[1, 5], [2, 2], [4, 1], [6, 1], [12, 2], [18, 1]], 61/477757440], [[[1, 5], [2, 2], [4, 1], [6, 1], [14, 1], [15, 1]], 1/967680], [[[1, 5], [2, 2], [4, 1], [6, 1], [14, 1], [20, 1]], 1/645120], [[[1, 5], [2, 2], [4, 1], [6, 1], [14, 1], [24, 1]], 1/774144], [[[1, 5], [2, 2], [4, 1], [6, 1], [14, 1], [30, 1]], 1/967680], [[[1, 5], [2, 2], [4, 1], [6, 1], [15, 1], [18, 1]], 61/49766400], [[[1, 5], [2, 2], [4, 1], [6, 1], [18, 1], [20, 1]], 61/33177600], [[[1, 5], [2, 2], [4, 1], [6, 1], [18, 1], [24, 1]], 61/39813120], [[[1, 5], [2, 2], [4, 1], [6, 1], [18, 1], [30, 1]], 61/49766400], [[[1, 5], [2, 2], [4, 1], [6, 2], [7, 1], [18, 1]], 1/217728], [[[1, 5], [2, 2], [4, 1], [6, 2], [8, 1], [10, 2]], 79/132710400], [[[1, 5], [2, 2], [4, 1], [6, 2], [8, 1], [12, 2]], 73/63700992], [[[1, 5], [2, 2], [4, 1], [6, 2], [8, 1], [15, 1]], 7/6635520], [[[1, 5], [2, 2], [4, 1], [6, 2], [8, 1], [20, 1]], 7/4423680], [[[1, 5], [2, 2], [4, 1], [6, 2], [8, 1], [24, 1]], 7/5308416], [[[1, 5], [2, 2], [4, 1], [6, 2], [8, 1], [30, 1]], 7/6635520], [[[1, 5], [2, 2], [4, 1], [6, 2], [8, 2], [10, 1]], 19/13271040], [[[1, 5], [2, 2], [4, 1], [6, 2], [8, 2], [12, 1]], 4081/1698693120], [[[1, 5], [2, 2], [4, 1], [6, 2], [9, 1], [18, 1]], 5/3359232], [[[1, 5], [2, 2], [4, 1], [6, 2], [10, 1], [12, 2]], 1/19906560], [[[1, 5], [2, 2], [4, 1], [6, 2], [10, 1], [15, 1]], 1/2073600], [[[1, 5], [2, 2], [4, 1], [6, 2], [10, 1], [20, 1]], 1/1382400], [[[1, 5], [2, 2], [4, 1], [6, 2], [10, 1], [24, 1]], 1/1658880], [[[1, 5], [2, 2], [4, 1], [6, 2], [10, 1], [30, 1]], 1/2073600], [[[1, 5], [2, 2], [4, 1], [6, 2], [10, 2], [12, 1]], 181/5308416000], [[[1, 5], [2, 2], [4, 1], [6, 2], [12, 1], [15, 1]], 181/265420800], [[[1, 5], [2, 2], [4, 1], [6, 2], [12, 1], [20, 1]], 181/176947200], [[[1, 5], [2, 2], [4, 1], [6, 2], [12, 1], [24, 1]], 181/212336640], [[[1, 5], [2, 2], [4, 1], [6, 2], [12, 1], [30, 1]], 181/265420800], [[[1, 5], [2, 2], [4, 1], [6, 2], [14, 1], [18, 1]], 1/1741824], [[[1, 5], [2, 2], [4, 1], [6, 3], [7, 1], [8, 1]], 37/55738368], [[[1, 5], [2, 2], [4, 1], [6, 3], [7, 1], [10, 1]], 1/5806080], [[[1, 5], [2, 2], [4, 1], [6, 3], [7, 1], [12, 1]], 1/870912], [[[1, 5], [2, 2], [4, 1], [6, 3], [8, 1], [9, 1]], 43/214990848], [[[1, 5], [2, 2], [4, 1], [6, 3], [8, 1], [14, 1]], 1/18579456], [[[1, 5], [2, 2], [4, 1], [6, 3], [8, 1], [18, 1]], 5/7962624], [[[1, 5], [2, 2], [4, 1], [6, 3], [9, 1], [10, 1]], 1/22394880], [[[1, 5], [2, 2], [4, 1], [6, 3], [9, 1], [12, 1]], 19/53747712], [[[1, 5], [2, 2], [4, 1], [6, 3], [10, 1], [18, 1]], 1/3732480], [[[1, 5], [2, 2], [4, 1], [6, 3], [12, 1], [14, 1]], 1/9289728], [[[1, 5], [2, 2], [4, 1], [6, 3], [12, 1], [18, 1]], 221/477757440], [[[1, 5], [2, 2], [4, 1], [6, 4], [8, 1], [10, 1]], 49/1911029760], [[[1, 5], [2, 2], [4, 1], [6, 4], [8, 1], [12, 1]], 203/1433272320], [[[1, 5], [2, 2], [4, 1], [6, 4], [10, 1], [12, 1]], 1/19906560], [[[1, 5], [2, 2], [4, 1], [7, 1], [8, 1], [9, 1]], 29/387072], [[[1, 5], [2, 2], [4, 1], [7, 1], [8, 1], [14, 1]], 95/602112], [[[1, 5], [2, 2], [4, 1], [7, 1], [8, 1], [18, 1]], 37/774144], [[[1, 5], [2, 2], [4, 1], [7, 1], [9, 1], [10, 1]], 1/48384], [[[1, 5], [2, 2], [4, 1], [7, 1], [9, 1], [12, 1]], 5/145152], [[[1, 5], [2, 2], [4, 1], [7, 1], [10, 1], [14, 1]], 1/62720], [[[1, 5], [2, 2], [4, 1], [7, 1], [10, 1], [18, 1]], 1/80640], [[[1, 5], [2, 2], [4, 1], [7, 1], [12, 1], [14, 1]], 1/37632], [[[1, 5], [2, 2], [4, 1], [7, 1], [12, 1], [18, 1]], 1/48384], [[[1, 5], [2, 2], [4, 1], [8, 1], [9, 1], [14, 1]], 5/258048], [[[1, 5], [2, 2], [4, 1], [8, 1], [9, 1], [18, 1]], 151/2985984], [[[1, 5], [2, 2], [4, 1], [8, 1], [10, 1], [12, 2]], 1/3538944], [[[1, 5], [2, 2], [4, 1], [8, 1], [10, 1], [15, 1]], 1/368640], [[[1, 5], [2, 2], [4, 1], [8, 1], [10, 1], [20, 1]], 1/245760], [[[1, 5], [2, 2], [4, 1], [8, 1], [10, 1], [24, 1]], 1/294912], [[[1, 5], [2, 2], [4, 1], [8, 1], [10, 1], [30, 1]], 1/368640], [[[1, 5], [2, 2], [4, 1], [8, 1], [10, 2], [12, 1]], 1/11059200], [[[1, 5], [2, 2], [4, 1], [8, 1], [12, 1], [15, 1]], 1/552960], [[[1, 5], [2, 2], [4, 1], [8, 1], [12, 1], [16, 1]], 1/73728], [[[1, 5], [2, 2], [4, 1], [8, 1], [12, 1], [20, 1]], 1/73728], [[[1, 5], [2, 2], [4, 1], [8, 1], [12, 1], [24, 1]], 7/442368], [[[1, 5], [2, 2], [4, 1], [8, 1], [12, 1], [30, 1]], 1/552960], [[[1, 5], [2, 2], [4, 1], [8, 1], [14, 1], [18, 1]], 1/258048], [[[1, 5], [2, 2], [4, 1], [9, 1], [10, 1], [14, 1]], 1/241920], [[[1, 5], [2, 2], [4, 1], [9, 1], [10, 1], [18, 1]], 1/311040], [[[1, 5], [2, 2], [4, 1], [9, 1], [12, 1], [14, 1]], 1/145152], [[[1, 5], [2, 2], [4, 1], [9, 1], [12, 1], [18, 1]], 1/186624], [[[1, 5], [2, 2], [4, 2], [5, 1], [6, 1], [8, 2]], 571/265420800], [[[1, 5], [2, 2], [4, 2], [5, 1], [6, 1], [10, 2]], 31/829440000], [[[1, 5], [2, 2], [4, 2], [5, 1], [6, 1], [12, 2]], 23/15925248], [[[1, 5], [2, 2], [4, 2], [5, 1], [6, 1], [15, 1]], 31/41472000], [[[1, 5], [2, 2], [4, 2], [5, 1], [6, 1], [20, 1]], 31/27648000], [[[1, 5], [2, 2], [4, 2], [5, 1], [6, 1], [24, 1]], 31/33177600], [[[1, 5], [2, 2], [4, 2], [5, 1], [6, 1], [30, 1]], 31/41472000], [[[1, 5], [2, 2], [4, 2], [5, 1], [6, 2], [18, 1]], 31/74649600], [[[1, 5], [2, 2], [4, 2], [5, 1], [6, 3], [8, 1]], 1/26542080], [[[1, 5], [2, 2], [4, 2], [5, 1], [6, 3], [12, 1]], 1109/10749542400], [[[1, 5], [2, 2], [4, 2], [5, 1], [7, 1], [8, 1]], 3/71680], [[[1, 5], [2, 2], [4, 2], [5, 1], [7, 1], [10, 1]], 11/89600], [[[1, 5], [2, 2], [4, 2], [5, 1], [7, 1], [12, 1]], 1/38400], [[[1, 5], [2, 2], [4, 2], [5, 1], [8, 1], [9, 1]], 7/552960], [[[1, 5], [2, 2], [4, 2], [5, 1], [8, 1], [14, 1]], 1/286720], [[[1, 5], [2, 2], [4, 2], [5, 1], [8, 1], [18, 1]], 1/368640], [[[1, 5], [2, 2], [4, 2], [5, 1], [9, 1], [10, 1]], 11/345600], [[[1, 5], [2, 2], [4, 2], [5, 1], [9, 1], [12, 1]], 37/4665600], [[[1, 5], [2, 2], [4, 2], [5, 1], [12, 1], [14, 1]], 1/403200], [[[1, 5], [2, 2], [4, 2], [5, 1], [12, 1], [18, 1]], 17/9331200], [[[1, 5], [2, 2], [4, 2], [5, 2], [6, 1], [8, 1]], 217/1061683200], [[[1, 5], [2, 2], [4, 2], [5, 2], [6, 1], [10, 1]], 31/663552000], [[[1, 5], [2, 2], [4, 2], [5, 2], [6, 1], [12, 1]], 89/1194393600], [[[1, 5], [2, 2], [4, 2], [6, 1], [7, 1], [9, 1]], 1/3483648], [[[1, 5], [2, 2], [4, 2], [6, 1], [7, 1], [14, 1]], 1/64512], [[[1, 5], [2, 2], [4, 2], [6, 1], [7, 1], [18, 1]], 187/55738368], [[[1, 5], [2, 2], [4, 2], [6, 1], [8, 1], [10, 2]], 389/212336640], [[[1, 5], [2, 2], [4, 2], [6, 1], [8, 1], [12, 2]], 2137/509607936], [[[1, 5], [2, 2], [4, 2], [6, 1], [8, 1], [15, 1]], 217/53084160], [[[1, 5], [2, 2], [4, 2], [6, 1], [8, 1], [16, 1]], 121/3538944], [[[1, 5], [2, 2], [4, 2], [6, 1], [8, 1], [20, 1]], 601/35389440], [[[1, 5], [2, 2], [4, 2], [6, 1], [8, 1], [24, 1]], 985/42467328], [[[1, 5], [2, 2], [4, 2], [6, 1], [8, 1], [30, 1]], 217/53084160], [[[1, 5], [2, 2], [4, 2], [6, 1], [8, 2], [10, 1]], 1651/212336640], [[[1, 5], [2, 2], [4, 2], [6, 1], [8, 2], [12, 1]], 4145/382205952], [[[1, 5], [2, 2], [4, 2], [6, 1], [9, 1], [18, 1]], 935/71663616], [[[1, 5], [2, 2], [4, 2], [6, 1], [10, 1], [12, 2]], 31/318504960], [[[1, 5], [2, 2], [4, 2], [6, 1], [10, 1], [15, 1]], 31/33177600], [[[1, 5], [2, 2], [4, 2], [6, 1], [10, 1], [20, 1]], 31/22118400], [[[1, 5], [2, 2], [4, 2], [6, 1], [10, 1], [24, 1]], 31/26542080], [[[1, 5], [2, 2], [4, 2], [6, 1], [10, 1], [30, 1]], 31/33177600], [[[1, 5], [2, 2], [4, 2], [6, 1], [10, 2], [12, 1]], 89/1194393600], [[[1, 5], [2, 2], [4, 2], [6, 1], [12, 1], [15, 1]], 89/59719680], [[[1, 5], [2, 2], [4, 2], [6, 1], [12, 1], [16, 1]], 1/110592], [[[1, 5], [2, 2], [4, 2], [6, 1], [12, 1], [20, 1]], 401/39813120], [[[1, 5], [2, 2], [4, 2], [6, 1], [12, 1], [24, 1]], 533/47775744], [[[1, 5], [2, 2], [4, 2], [6, 1], [12, 1], [30, 1]], 89/59719680], [[[1, 5], [2, 2], [4, 2], [6, 1], [14, 1], [18, 1]], 1/3981312], [[[1, 5], [2, 2], [4, 2], [6, 2], [7, 1], [12, 1]], 443/297271296], [[[1, 5], [2, 2], [4, 2], [6, 2], [8, 1], [18, 1]], 217/95551488], [[[1, 5], [2, 2], [4, 2], [6, 2], [9, 1], [12, 1]], 469/1146617856], [[[1, 5], [2, 2], [4, 2], [6, 2], [10, 1], [18, 1]], 31/59719680], [[[1, 5], [2, 2], [4, 2], [6, 2], [12, 1], [14, 1]], 1/21233664], [[[1, 5], [2, 2], [4, 2], [6, 2], [12, 1], [18, 1]], 371/429981696], [[[1, 5], [2, 2], [4, 2], [6, 3], [8, 1], [10, 1]], 1/26542080], [[[1, 5], [2, 2], [4, 2], [6, 3], [8, 1], [12, 1]], 2273/4586471424], [[[1, 5], [2, 2], [4, 2], [6, 3], [10, 1], [12, 1]], 31/318504960], [[[1, 5], [2, 2], [4, 2], [7, 1], [8, 1], [10, 1]], 3/71680], [[[1, 5], [2, 2], [4, 2], [7, 1], [8, 1], [12, 1]], 65/387072], [[[1, 5], [2, 2], [4, 2], [7, 1], [10, 1], [12, 1]], 1/46080], [[[1, 5], [2, 2], [4, 2], [8, 1], [9, 1], [10, 1]], 7/552960], [[[1, 5], [2, 2], [4, 2], [8, 1], [9, 1], [12, 1]], 35/746496], [[[1, 5], [2, 2], [4, 2], [8, 1], [10, 1], [14, 1]], 1/286720], [[[1, 5], [2, 2], [4, 2], [8, 1], [10, 1], [18, 1]], 1/368640], [[[1, 5], [2, 2], [4, 2], [8, 1], [12, 1], [14, 1]], 5/774144], [[[1, 5], [2, 2], [4, 2], [8, 1], [12, 1], [18, 1]], 5/995328], [[[1, 5], [2, 2], [4, 2], [9, 1], [10, 1], [12, 1]], 7/1244160], [[[1, 5], [2, 2], [4, 3], [5, 1], [6, 1], [18, 1]], 109/398131200], [[[1, 5], [2, 2], [4, 3], [5, 1], [6, 2], [12, 1]], 109/2123366400], [[[1, 5], [2, 2], [4, 3], [5, 1], [8, 1], [10, 1]], 461/14745600], [[[1, 5], [2, 2], [4, 3], [5, 1], [8, 1], [12, 1]], 5/221184], [[[1, 5], [2, 2], [4, 3], [5, 1], [10, 1], [12, 1]], 11/6912000], [[[1, 5], [2, 2], [4, 3], [6, 1], [7, 1], [8, 1]], 1/1376256], [[[1, 5], [2, 2], [4, 3], [6, 1], [7, 1], [10, 1]], 1/2580480], [[[1, 5], [2, 2], [4, 3], [6, 1], [7, 1], [12, 1]], 73/18579456], [[[1, 5], [2, 2], [4, 3], [6, 1], [8, 1], [9, 1]], 1/5308416], [[[1, 5], [2, 2], [4, 3], [6, 1], [8, 1], [18, 1]], 313/254803968], [[[1, 5], [2, 2], [4, 3], [6, 1], [9, 1], [10, 1]], 1/9953280], [[[1, 5], [2, 2], [4, 3], [6, 1], [9, 1], [12, 1]], 89/71663616], [[[1, 5], [2, 2], [4, 3], [6, 1], [10, 1], [18, 1]], 13/79626240], [[[1, 5], [2, 2], [4, 3], [6, 1], [12, 1], [14, 1]], 1/2322432], [[[1, 5], [2, 2], [4, 3], [6, 1], [12, 1], [18, 1]], 187/238878720], [[[1, 5], [2, 2], [4, 3], [6, 2], [8, 1], [12, 1]], 2731/4076863488], [[[1, 5], [2, 2], [4, 3], [6, 2], [10, 1], [12, 1]], 59/254803968], [[[1, 5], [2, 2], [4, 3], [8, 1], [10, 1], [12, 1]], 23/4423680], [[[1, 5], [2, 2], [4, 4], [5, 1], [6, 1], [8, 1]], 11/5308416000], [[[1, 5], [2, 2], [4, 4], [5, 1], [6, 1], [10, 1]], 1/552960000], [[[1, 5], [2, 2], [4, 4], [5, 1], [6, 1], [12, 1]], 2497/7962624000], [[[1, 5], [2, 2], [4, 4], [6, 1], [8, 1], [10, 1]], 181/2123366400], [[[1, 5], [2, 2], [4, 4], [6, 1], [8, 1], [12, 1]], 20743/5096079360], [[[1, 5], [2, 2], [4, 4], [6, 1], [10, 1], [12, 1]], 31/79626240], [[[1, 5], [2, 2], [5, 1], [6, 1], [7, 1], [18, 1]], 1/100800], [[[1, 5], [2, 2], [5, 1], [6, 1], [8, 1], [10, 2]], 11/69120000], [[[1, 5], [2, 2], [5, 1], [6, 1], [8, 1], [12, 2]], 11/33177600], [[[1, 5], [2, 2], [5, 1], [6, 1], [8, 1], [15, 1]], 11/3456000], [[[1, 5], [2, 2], [5, 1], [6, 1], [8, 1], [20, 1]], 11/2304000], [[[1, 5], [2, 2], [5, 1], [6, 1], [8, 1], [24, 1]], 11/2764800], [[[1, 5], [2, 2], [5, 1], [6, 1], [8, 1], [30, 1]], 11/3456000], [[[1, 5], [2, 2], [5, 1], [6, 1], [8, 2], [10, 1]], 1/2304000], [[[1, 5], [2, 2], [5, 1], [6, 1], [8, 2], [12, 1]], 17/33177600], [[[1, 5], [2, 2], [5, 1], [6, 1], [9, 1], [18, 1]], 29/6998400], [[[1, 5], [2, 2], [5, 1], [6, 1], [10, 1], [12, 2]], 1/3456000], [[[1, 5], [2, 2], [5, 1], [6, 1], [10, 1], [15, 1]], 1/360000], [[[1, 5], [2, 2], [5, 1], [6, 1], [10, 1], [20, 1]], 1/240000], [[[1, 5], [2, 2], [5, 1], [6, 1], [10, 1], [24, 1]], 1/288000], [[[1, 5], [2, 2], [5, 1], [6, 1], [10, 1], [30, 1]], 1/360000], [[[1, 5], [2, 2], [5, 1], [6, 1], [10, 2], [12, 1]], 17/103680000], [[[1, 5], [2, 2], [5, 1], [6, 1], [12, 1], [15, 1]], 17/5184000], [[[1, 5], [2, 2], [5, 1], [6, 1], [12, 1], [20, 1]], 17/3456000], [[[1, 5], [2, 2], [5, 1], [6, 1], [12, 1], [24, 1]], 17/4147200], [[[1, 5], [2, 2], [5, 1], [6, 1], [12, 1], [30, 1]], 17/5184000], [[[1, 5], [2, 2], [5, 1], [6, 1], [14, 1], [18, 1]], 1/302400], [[[1, 5], [2, 2], [5, 1], [6, 2], [7, 1], [12, 1]], 1/537600], [[[1, 5], [2, 2], [5, 1], [6, 2], [8, 1], [18, 1]], 11/6220800], [[[1, 5], [2, 2], [5, 1], [6, 2], [9, 1], [12, 1]], 29/37324800], [[[1, 5], [2, 2], [5, 1], [6, 2], [10, 1], [18, 1]], 1/648000], [[[1, 5], [2, 2], [5, 1], [6, 2], [12, 1], [14, 1]], 1/1612800], [[[1, 5], [2, 2], [5, 1], [6, 2], [12, 1], [18, 1]], 17/7464960], [[[1, 5], [2, 2], [5, 1], [6, 3], [8, 1], [12, 1]], 11/33177600], [[[1, 5], [2, 2], [5, 1], [6, 3], [10, 1], [12, 1]], 1/3456000], [[[1, 5], [2, 2], [5, 2], [6, 1], [8, 1], [10, 1]], 1/27648000], [[[1, 5], [2, 2], [5, 2], [6, 1], [8, 1], [12, 1]], 1/22118400], [[[1, 5], [2, 2], [6, 1], [7, 1], [8, 1], [9, 1]], 5/290304], [[[1, 5], [2, 2], [6, 1], [7, 1], [8, 1], [14, 1]], 1/75264], [[[1, 5], [2, 2], [6, 1], [7, 1], [8, 1], [18, 1]], 5/290304], [[[1, 5], [2, 2], [6, 1], [7, 1], [9, 1], [10, 1]], 1/60480], [[[1, 5], [2, 2], [6, 1], [7, 1], [9, 1], [12, 1]], 1/54432], [[[1, 5], [2, 2], [6, 1], [7, 1], [10, 1], [14, 1]], 1/94080], [[[1, 5], [2, 2], [6, 1], [7, 1], [10, 1], [18, 1]], 1/80640], [[[1, 5], [2, 2], [6, 1], [7, 1], [12, 1], [14, 1]], 1/75264], [[[1, 5], [2, 2], [6, 1], [7, 1], [12, 1], [18, 1]], 1/96768], [[[1, 5], [2, 2], [6, 1], [8, 1], [9, 1], [14, 1]], 1/290304], [[[1, 5], [2, 2], [6, 1], [8, 1], [9, 1], [18, 1]], 11/2239488], [[[1, 5], [2, 2], [6, 1], [8, 1], [10, 1], [12, 2]], 1/13271040], [[[1, 5], [2, 2], [6, 1], [8, 1], [10, 1], [15, 1]], 1/1382400], [[[1, 5], [2, 2], [6, 1], [8, 1], [10, 1], [20, 1]], 1/921600], [[[1, 5], [2, 2], [6, 1], [8, 1], [10, 1], [24, 1]], 1/1105920], [[[1, 5], [2, 2], [6, 1], [8, 1], [10, 1], [30, 1]], 1/1382400], [[[1, 5], [2, 2], [6, 1], [8, 1], [10, 2], [12, 1]], 1/22118400], [[[1, 5], [2, 2], [6, 1], [8, 1], [12, 1], [15, 1]], 1/1105920], [[[1, 5], [2, 2], [6, 1], [8, 1], [12, 1], [20, 1]], 1/737280], [[[1, 5], [2, 2], [6, 1], [8, 1], [12, 1], [24, 1]], 1/884736], [[[1, 5], [2, 2], [6, 1], [8, 1], [12, 1], [30, 1]], 1/1105920], [[[1, 5], [2, 2], [6, 1], [8, 1], [14, 1], [18, 1]], 1/1161216], [[[1, 5], [2, 2], [6, 1], [9, 1], [10, 1], [14, 1]], 1/362880], [[[1, 5], [2, 2], [6, 1], [9, 1], [10, 1], [18, 1]], 1/311040], [[[1, 5], [2, 2], [6, 1], [9, 1], [12, 1], [14, 1]], 1/290304], [[[1, 5], [2, 2], [6, 1], [9, 1], [12, 1], [18, 1]], 1/373248], [[[1, 5], [2, 2], [6, 2], [7, 1], [8, 1], [10, 1]], 1/161280], [[[1, 5], [2, 2], [6, 2], [7, 1], [8, 1], [12, 1]], 1/110592], [[[1, 5], [2, 2], [6, 2], [7, 1], [10, 1], [12, 1]], 1/143360], [[[1, 5], [2, 2], [6, 2], [8, 1], [9, 1], [10, 1]], 1/622080], [[[1, 5], [2, 2], [6, 2], [8, 1], [9, 1], [12, 1]], 29/11943936], [[[1, 5], [2, 2], [6, 2], [8, 1], [10, 1], [18, 1]], 1/2488320], [[[1, 5], [2, 2], [6, 2], [8, 1], [12, 1], [14, 1]], 1/6193152], [[[1, 5], [2, 2], [6, 2], [8, 1], [12, 1], [18, 1]], 5/7962624], [[[1, 5], [2, 2], [6, 2], [9, 1], [10, 1], [12, 1]], 1/552960], [[[1, 5], [2, 2], [6, 3], [8, 1], [10, 1], [12, 1]], 1/13271040], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [6, 4]], 15667/26873856000], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [8, 2]], 1883/33177600], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [10, 2]], 767/103680000], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [12, 2]], 587/49766400], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [15, 1]], 47/5184000], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [16, 1]], 1/46080], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [20, 1]], 47/3456000], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [24, 1]], 47/4147200], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [30, 1]], 47/5184000], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 2], [6, 2]], 1391/398131200], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 2], [8, 1]], 201787/5308416000], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 2], [10, 1]], 2311/27648000], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 2], [12, 1]], 3643/199065600], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 2], [8, 2]], 10223/127401984], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 2], [10, 2]], 5279/398131200], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 2], [12, 2]], 12889/191102976], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 2], [15, 1]], 191/19906560], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 2], [16, 1]], 17/1327104], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 2], [20, 1]], 191/13271040], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 2], [24, 1]], 683/15925248], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 2], [30, 1]], 191/19906560], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 3], [7, 1]], 7/1492992], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 3], [9, 1]], 35231/12899450880], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 3], [14, 1]], 205/83607552], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 3], [18, 1]], 7/995328], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 4], [8, 1]], 4518779/1375941427200], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 4], [10, 1]], 11407/7166361600], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 4], [12, 1]], 191573/51597803520], [[[1, 5], [2, 4], [3, 1], [4, 1], [7, 1], [9, 1]], 137/6967296], [[[1, 5], [2, 4], [3, 1], [4, 1], [7, 1], [14, 1]], 25/129024], [[[1, 5], [2, 4], [3, 1], [4, 1], [7, 1], [18, 1]], 5/290304], [[[1, 5], [2, 4], [3, 1], [4, 1], [8, 1], [10, 2]], 20059/5308416000], [[[1, 5], [2, 4], [3, 1], [4, 1], [8, 1], [12, 2]], 60379/2548039680], [[[1, 5], [2, 4], [3, 1], [4, 1], [8, 1], [15, 1]], 2779/265420800], [[[1, 5], [2, 4], [3, 1], [4, 1], [8, 1], [16, 1]], 7/73728], [[[1, 5], [2, 4], [3, 1], [4, 1], [8, 1], [20, 1]], 5659/176947200], [[[1, 5], [2, 4], [3, 1], [4, 1], [8, 1], [24, 1]], 8539/212336640], [[[1, 5], [2, 4], [3, 1], [4, 1], [8, 1], [30, 1]], 2779/265420800], [[[1, 5], [2, 4], [3, 1], [4, 1], [8, 2], [10, 1]], 77/4423680], [[[1, 5], [2, 4], [3, 1], [4, 1], [8, 2], [12, 1]], 2815/63700992], [[[1, 5], [2, 4], [3, 1], [4, 1], [9, 1], [14, 1]], 2393/139345920], [[[1, 5], [2, 4], [3, 1], [4, 1], [9, 1], [18, 1]], 11591/179159040], [[[1, 5], [2, 4], [3, 1], [4, 1], [10, 1], [12, 2]], 119/13271040], [[[1, 5], [2, 4], [3, 1], [4, 1], [10, 1], [15, 1]], 7/1382400], [[[1, 5], [2, 4], [3, 1], [4, 1], [10, 1], [20, 1]], 7/921600], [[[1, 5], [2, 4], [3, 1], [4, 1], [10, 1], [24, 1]], 7/1105920], [[[1, 5], [2, 4], [3, 1], [4, 1], [10, 1], [30, 1]], 7/1382400], [[[1, 5], [2, 4], [3, 1], [4, 1], [10, 2], [12, 1]], 1051/199065600], [[[1, 5], [2, 4], [3, 1], [4, 1], [12, 1], [15, 1]], 43/9953280], [[[1, 5], [2, 4], [3, 1], [4, 1], [12, 1], [16, 1]], 7/221184], [[[1, 5], [2, 4], [3, 1], [4, 1], [12, 1], [20, 1]], 23/1327104], [[[1, 5], [2, 4], [3, 1], [4, 1], [12, 1], [24, 1]], 151/7962624], [[[1, 5], [2, 4], [3, 1], [4, 1], [12, 1], [30, 1]], 43/9953280], [[[1, 5], [2, 4], [3, 1], [4, 1], [14, 1], [18, 1]], 13/1161216], [[[1, 5], [2, 4], [3, 1], [4, 2], [5, 1], [6, 3]], 139051/85996339200], [[[1, 5], [2, 4], [3, 1], [4, 2], [5, 1], [7, 1]], 1327/61931520], [[[1, 5], [2, 4], [3, 1], [4, 2], [5, 1], [9, 1]], 36713/2388787200], [[[1, 5], [2, 4], [3, 1], [4, 2], [5, 1], [14, 1]], 235/12386304], [[[1, 5], [2, 4], [3, 1], [4, 2], [5, 1], [18, 1]], 2783/238878720], [[[1, 5], [2, 4], [3, 1], [4, 2], [5, 2], [6, 1]], 771389/47775744000], [[[1, 5], [2, 4], [3, 1], [4, 2], [6, 1], [8, 2]], 5358833/15288238080], [[[1, 5], [2, 4], [3, 1], [4, 2], [6, 1], [10, 2]], 635453/47775744000], [[[1, 5], [2, 4], [3, 1], [4, 2], [6, 1], [12, 2]], 3341971/22932357120], [[[1, 5], [2, 4], [3, 1], [4, 2], [6, 1], [15, 1]], 42173/2388787200], [[[1, 5], [2, 4], [3, 1], [4, 2], [6, 1], [16, 1]], 17/98304], [[[1, 5], [2, 4], [3, 1], [4, 2], [6, 1], [20, 1]], 214973/1592524800], [[[1, 5], [2, 4], [3, 1], [4, 2], [6, 1], [24, 1]], 127493/1911029760], [[[1, 5], [2, 4], [3, 1], [4, 2], [6, 1], [30, 1]], 42173/2388787200], [[[1, 5], [2, 4], [3, 1], [4, 2], [6, 2], [7, 1]], 3755/382205952], [[[1, 5], [2, 4], [3, 1], [4, 2], [6, 2], [9, 1]], 59791/10319560704], [[[1, 5], [2, 4], [3, 1], [4, 2], [6, 2], [14, 1]], 4429/891813888], [[[1, 5], [2, 4], [3, 1], [4, 2], [6, 2], [18, 1]], 228197/17199267840], [[[1, 5], [2, 4], [3, 1], [4, 2], [6, 3], [8, 1]], 230075/13759414272], [[[1, 5], [2, 4], [3, 1], [4, 2], [6, 3], [10, 1]], 2407/637009920], [[[1, 5], [2, 4], [3, 1], [4, 2], [6, 3], [12, 1]], 3968441/123834728448], [[[1, 5], [2, 4], [3, 1], [4, 2], [7, 1], [8, 1]], 635/12386304], [[[1, 5], [2, 4], [3, 1], [4, 2], [7, 1], [10, 1]], 43/3225600], [[[1, 5], [2, 4], [3, 1], [4, 2], [7, 1], [12, 1]], 1915/63700992], [[[1, 5], [2, 4], [3, 1], [4, 2], [8, 1], [9, 1]], 152953/3822059520], [[[1, 5], [2, 4], [3, 1], [4, 2], [8, 1], [14, 1]], 91/2359296], [[[1, 5], [2, 4], [3, 1], [4, 2], [8, 1], [18, 1]], 4715/191102976], [[[1, 5], [2, 4], [3, 1], [4, 2], [9, 1], [10, 1]], 23437/2388787200], [[[1, 5], [2, 4], [3, 1], [4, 2], [9, 1], [12, 1]], 16663/859963392], [[[1, 5], [2, 4], [3, 1], [4, 2], [10, 1], [14, 1]], 1/96768], [[[1, 5], [2, 4], [3, 1], [4, 2], [10, 1], [18, 1]], 11/1658880], [[[1, 5], [2, 4], [3, 1], [4, 2], [12, 1], [14, 1]], 50179/2229534720], [[[1, 5], [2, 4], [3, 1], [4, 2], [12, 1], [18, 1]], 125779/8599633920], [[[1, 5], [2, 4], [3, 1], [4, 3], [5, 1], [6, 2]], 677/199065600], [[[1, 5], [2, 4], [3, 1], [4, 3], [5, 1], [8, 1]], 3277/47185920], [[[1, 5], [2, 4], [3, 1], [4, 3], [5, 1], [10, 1]], 1379/22118400], [[[1, 5], [2, 4], [3, 1], [4, 3], [5, 1], [12, 1]], 7367/199065600], [[[1, 5], [2, 4], [3, 1], [4, 3], [6, 1], [7, 1]], 239/6193152], [[[1, 5], [2, 4], [3, 1], [4, 3], [6, 1], [9, 1]], 121261/5733089280], [[[1, 5], [2, 4], [3, 1], [4, 3], [6, 1], [14, 1]], 1487/74317824], [[[1, 5], [2, 4], [3, 1], [4, 3], [6, 1], [18, 1]], 19135/1146617856], [[[1, 5], [2, 4], [3, 1], [4, 3], [6, 2], [8, 1]], 181085/3057647616], [[[1, 5], [2, 4], [3, 1], [4, 3], [6, 2], [10, 1]], 1961/159252480], [[[1, 5], [2, 4], [3, 1], [4, 3], [6, 2], [12, 1]], 75019/679477248], [[[1, 5], [2, 4], [3, 1], [4, 3], [8, 1], [10, 1]], 3811/176947200], [[[1, 5], [2, 4], [3, 1], [4, 3], [8, 1], [12, 1]], 335221/2548039680], [[[1, 5], [2, 4], [3, 1], [4, 3], [10, 1], [12, 1]], 193/13271040], [[[1, 5], [2, 4], [3, 1], [4, 4], [5, 1], [6, 1]], 2854517/191102976000], [[[1, 5], [2, 4], [3, 1], [4, 4], [6, 1], [8, 1]], 3126727/30576476160], [[[1, 5], [2, 4], [3, 1], [4, 4], [6, 1], [10, 1]], 87167/5971968000], [[[1, 5], [2, 4], [3, 1], [4, 4], [6, 1], [12, 1]], 55696379/458647142400], [[[1, 5], [2, 4], [3, 1], [5, 1], [6, 1], [8, 2]], 17507/796262400], [[[1, 5], [2, 4], [3, 1], [5, 1], [6, 1], [10, 2]], 147107/2488320000], [[[1, 5], [2, 4], [3, 1], [5, 1], [6, 1], [12, 2]], 16739/1194393600], [[[1, 5], [2, 4], [3, 1], [5, 1], [6, 1], [15, 1]], 1667/124416000], [[[1, 5], [2, 4], [3, 1], [5, 1], [6, 1], [20, 1]], 1667/82944000], [[[1, 5], [2, 4], [3, 1], [5, 1], [6, 1], [24, 1]], 5267/99532800], [[[1, 5], [2, 4], [3, 1], [5, 1], [6, 1], [30, 1]], 1667/124416000], [[[1, 5], [2, 4], [3, 1], [5, 1], [6, 2], [7, 1]], 53/6967296], [[[1, 5], [2, 4], [3, 1], [5, 1], [6, 2], [9, 1]], 3409/671846400], [[[1, 5], [2, 4], [3, 1], [5, 1], [6, 2], [14, 1]], 23/3628800], [[[1, 5], [2, 4], [3, 1], [5, 1], [6, 2], [18, 1]], 169/14929920], [[[1, 5], [2, 4], [3, 1], [5, 1], [6, 3], [8, 1]], 2461/895795200], [[[1, 5], [2, 4], [3, 1], [5, 1], [6, 3], [10, 1]], 2183/124416000], [[[1, 5], [2, 4], [3, 1], [5, 1], [6, 3], [12, 1]], 47563/10749542400], [[[1, 5], [2, 4], [3, 1], [5, 1], [7, 1], [8, 1]], 19/645120], [[[1, 5], [2, 4], [3, 1], [5, 1], [7, 1], [10, 1]], 19/1008000], [[[1, 5], [2, 4], [3, 1], [5, 1], [7, 1], [12, 1]], 1/71680], [[[1, 5], [2, 4], [3, 1], [5, 1], [8, 1], [9, 1]], 259/12441600], [[[1, 5], [2, 4], [3, 1], [5, 1], [8, 1], [14, 1]], 13/460800], [[[1, 5], [2, 4], [3, 1], [5, 1], [8, 1], [18, 1]], 211/12441600], [[[1, 5], [2, 4], [3, 1], [5, 1], [9, 1], [10, 1]], 49/2880000], [[[1, 5], [2, 4], [3, 1], [5, 1], [9, 1], [12, 1]], 7/829440], [[[1, 5], [2, 4], [3, 1], [5, 1], [10, 1], [14, 1]], 11/806400], [[[1, 5], [2, 4], [3, 1], [5, 1], [10, 1], [18, 1]], 1/115200], [[[1, 5], [2, 4], [3, 1], [5, 1], [12, 1], [14, 1]], 37/2419200], [[[1, 5], [2, 4], [3, 1], [5, 1], [12, 1], [18, 1]], 41/4665600], [[[1, 5], [2, 4], [3, 1], [5, 2], [6, 1], [8, 1]], 2551/398131200], [[[1, 5], [2, 4], [3, 1], [5, 2], [6, 1], [10, 1]], 29879/311040000], [[[1, 5], [2, 4], [3, 1], [5, 2], [6, 1], [12, 1]], 45517/5971968000], [[[1, 5], [2, 4], [3, 1], [6, 1], [7, 1], [9, 1]], 895/20901888], [[[1, 5], [2, 4], [3, 1], [6, 1], [7, 1], [14, 1]], 43/112896], [[[1, 5], [2, 4], [3, 1], [6, 1], [7, 1], [18, 1]], 895/20901888], [[[1, 5], [2, 4], [3, 1], [6, 1], [8, 1], [10, 2]], 1111/398131200], [[[1, 5], [2, 4], [3, 1], [6, 1], [8, 1], [12, 2]], 2383/191102976], [[[1, 5], [2, 4], [3, 1], [6, 1], [8, 1], [15, 1]], 247/19906560], [[[1, 5], [2, 4], [3, 1], [6, 1], [8, 1], [16, 1]], 5/73728], [[[1, 5], [2, 4], [3, 1], [6, 1], [8, 1], [20, 1]], 247/13271040], [[[1, 5], [2, 4], [3, 1], [6, 1], [8, 1], [24, 1]], 751/15925248], [[[1, 5], [2, 4], [3, 1], [6, 1], [8, 1], [30, 1]], 247/19906560], [[[1, 5], [2, 4], [3, 1], [6, 1], [8, 2], [10, 1]], 1313/99532800], [[[1, 5], [2, 4], [3, 1], [6, 1], [8, 2], [12, 1]], 18589/1911029760], [[[1, 5], [2, 4], [3, 1], [6, 1], [9, 1], [14, 1]], 49/1492992], [[[1, 5], [2, 4], [3, 1], [6, 1], [9, 1], [18, 1]], 3691/35831808], [[[1, 5], [2, 4], [3, 1], [6, 1], [10, 1], [12, 2]], 679/74649600], [[[1, 5], [2, 4], [3, 1], [6, 1], [10, 1], [15, 1]], 143/15552000], [[[1, 5], [2, 4], [3, 1], [6, 1], [10, 1], [20, 1]], 143/10368000], [[[1, 5], [2, 4], [3, 1], [6, 1], [10, 1], [24, 1]], 413/12441600], [[[1, 5], [2, 4], [3, 1], [6, 1], [10, 1], [30, 1]], 143/15552000], [[[1, 5], [2, 4], [3, 1], [6, 1], [10, 2], [12, 1]], 25069/5971968000], [[[1, 5], [2, 4], [3, 1], [6, 1], [12, 1], [15, 1]], 589/298598400], [[[1, 5], [2, 4], [3, 1], [6, 1], [12, 1], [20, 1]], 589/199065600], [[[1, 5], [2, 4], [3, 1], [6, 1], [12, 1], [24, 1]], 589/238878720], [[[1, 5], [2, 4], [3, 1], [6, 1], [12, 1], [30, 1]], 589/298598400], [[[1, 5], [2, 4], [3, 1], [6, 1], [14, 1], [18, 1]], 601/26127360], [[[1, 5], [2, 4], [3, 1], [6, 2], [7, 1], [8, 1]], 11/344064], [[[1, 5], [2, 4], [3, 1], [6, 2], [7, 1], [10, 1]], 173/4838400], [[[1, 5], [2, 4], [3, 1], [6, 2], [7, 1], [12, 1]], 11965/334430208], [[[1, 5], [2, 4], [3, 1], [6, 2], [8, 1], [9, 1]], 625/35831808], [[[1, 5], [2, 4], [3, 1], [6, 2], [8, 1], [14, 1]], 25/1327104], [[[1, 5], [2, 4], [3, 1], [6, 2], [8, 1], [18, 1]], 119/5971968], [[[1, 5], [2, 4], [3, 1], [6, 2], [9, 1], [10, 1]], 53/3110400], [[[1, 5], [2, 4], [3, 1], [6, 2], [9, 1], [12, 1]], 369955/20639121408], [[[1, 5], [2, 4], [3, 1], [6, 2], [10, 1], [14, 1]], 37/2322432], [[[1, 5], [2, 4], [3, 1], [6, 2], [10, 1], [18, 1]], 3649/223948800], [[[1, 5], [2, 4], [3, 1], [6, 2], [12, 1], [14, 1]], 2651/139345920], [[[1, 5], [2, 4], [3, 1], [6, 2], [12, 1], [18, 1]], 1537/107495424], [[[1, 5], [2, 4], [3, 1], [6, 3], [8, 1], [10, 1]], 19/1990656], [[[1, 5], [2, 4], [3, 1], [6, 3], [8, 1], [12, 1]], 21239/1719926784], [[[1, 5], [2, 4], [3, 1], [6, 3], [10, 1], [12, 1]], 263/24883200], [[[1, 5], [2, 4], [3, 1], [7, 1], [8, 1], [10, 1]], 1/80640], [[[1, 5], [2, 4], [3, 1], [7, 1], [8, 1], [12, 1]], 25/1548288], [[[1, 5], [2, 4], [3, 1], [7, 1], [10, 1], [12, 1]], 13/806400], [[[1, 5], [2, 4], [3, 1], [8, 1], [9, 1], [10, 1]], 79/9953280], [[[1, 5], [2, 4], [3, 1], [8, 1], [9, 1], [12, 1]], 53/5971968], [[[1, 5], [2, 4], [3, 1], [8, 1], [10, 1], [14, 1]], 1/215040], [[[1, 5], [2, 4], [3, 1], [8, 1], [10, 1], [18, 1]], 1/276480], [[[1, 5], [2, 4], [3, 1], [8, 1], [12, 1], [14, 1]], 19/1548288], [[[1, 5], [2, 4], [3, 1], [8, 1], [12, 1], [18, 1]], 47/5971968], [[[1, 5], [2, 4], [3, 1], [9, 1], [10, 1], [12, 1]], 37/4665600], [[[1, 5], [2, 4], [3, 1], [10, 1], [12, 1], [14, 1]], 17/1935360], [[[1, 5], [2, 4], [3, 1], [10, 1], [12, 1], [18, 1]], 1/165888], [[[1, 5], [2, 4], [3, 2], [4, 1], [5, 1], [6, 3]], 655247/128994508800], [[[1, 5], [2, 4], [3, 2], [4, 1], [5, 1], [7, 1]], 1/60480], [[[1, 5], [2, 4], [3, 2], [4, 1], [5, 1], [9, 1]], 31/2073600], [[[1, 5], [2, 4], [3, 2], [4, 1], [5, 1], [14, 1]], 53/2903040], [[[1, 5], [2, 4], [3, 2], [4, 1], [5, 1], [18, 1]], 29/2799360], [[[1, 5], [2, 4], [3, 2], [4, 1], [5, 2], [6, 1]], 1113869/47775744000], [[[1, 5], [2, 4], [3, 2], [4, 1], [6, 1], [8, 2]], 1275593/15288238080], [[[1, 5], [2, 4], [3, 2], [4, 1], [6, 1], [10, 2]], 137933/47775744000], [[[1, 5], [2, 4], [3, 2], [4, 1], [6, 1], [12, 2]], 1997131/22932357120], [[[1, 5], [2, 4], [3, 2], [4, 1], [6, 1], [15, 1]], 27533/2388787200], [[[1, 5], [2, 4], [3, 2], [4, 1], [6, 1], [16, 1]], 7/442368], [[[1, 5], [2, 4], [3, 2], [4, 1], [6, 1], [20, 1]], 27533/1592524800], [[[1, 5], [2, 4], [3, 2], [4, 1], [6, 1], [24, 1]], 105293/1911029760], [[[1, 5], [2, 4], [3, 2], [4, 1], [6, 1], [30, 1]], 27533/2388787200], [[[1, 5], [2, 4], [3, 2], [4, 1], [6, 2], [7, 1]], 1553/24772608], [[[1, 5], [2, 4], [3, 2], [4, 1], [6, 2], [9, 1]], 5423/143327232], [[[1, 5], [2, 4], [3, 2], [4, 1], [6, 2], [14, 1]], 50291/1486356480], [[[1, 5], [2, 4], [3, 2], [4, 1], [6, 2], [18, 1]], 108109/3439853568], [[[1, 5], [2, 4], [3, 2], [4, 1], [6, 3], [8, 1]], 2800883/82556485632], [[[1, 5], [2, 4], [3, 2], [4, 1], [6, 3], [10, 1]], 4776061/257989017600], [[[1, 5], [2, 4], [3, 2], [4, 1], [6, 3], [12, 1]], 21740461/619173642240], [[[1, 5], [2, 4], [3, 2], [4, 1], [7, 1], [8, 1]], 463/18579456], [[[1, 5], [2, 4], [3, 2], [4, 1], [7, 1], [10, 1]], 1/241920], [[[1, 5], [2, 4], [3, 2], [4, 1], [7, 1], [12, 1]], 9/458752], [[[1, 5], [2, 4], [3, 2], [4, 1], [8, 1], [9, 1]], 3173/159252480], [[[1, 5], [2, 4], [3, 2], [4, 1], [8, 1], [14, 1]], 11/516096], [[[1, 5], [2, 4], [3, 2], [4, 1], [8, 1], [18, 1]], 59/4478976], [[[1, 5], [2, 4], [3, 2], [4, 1], [9, 1], [10, 1]], 13/2488320], [[[1, 5], [2, 4], [3, 2], [4, 1], [9, 1], [12, 1]], 109/7962624], [[[1, 5], [2, 4], [3, 2], [4, 1], [10, 1], [14, 1]], 11/2903040], [[[1, 5], [2, 4], [3, 2], [4, 1], [10, 1], [18, 1]], 13/5598720], [[[1, 5], [2, 4], [3, 2], [4, 1], [12, 1], [14, 1]], 39979/2229534720], [[[1, 5], [2, 4], [3, 2], [4, 1], [12, 1], [18, 1]], 93319/8599633920], [[[1, 5], [2, 4], [3, 2], [4, 2], [5, 1], [6, 2]], 10488977/229323571200], [[[1, 5], [2, 4], [3, 2], [4, 2], [5, 1], [8, 1]], 61/1769472], [[[1, 5], [2, 4], [3, 2], [4, 2], [5, 1], [10, 1]], 361/13824000], [[[1, 5], [2, 4], [3, 2], [4, 2], [5, 1], [12, 1]], 904849/38220595200], [[[1, 5], [2, 4], [3, 2], [4, 2], [6, 1], [7, 1]], 3755/382205952], [[[1, 5], [2, 4], [3, 2], [4, 2], [6, 1], [9, 1]], 262757/17199267840], [[[1, 5], [2, 4], [3, 2], [4, 2], [6, 1], [14, 1]], 21565/2675441664], [[[1, 5], [2, 4], [3, 2], [4, 2], [6, 1], [18, 1]], 68509/10319560704], [[[1, 5], [2, 4], [3, 2], [4, 2], [6, 2], [8, 1]], 76030459/366917713920], [[[1, 5], [2, 4], [3, 2], [4, 2], [6, 2], [10, 1]], 1709123/45864714240], [[[1, 5], [2, 4], [3, 2], [4, 2], [6, 2], [12, 1]], 158711753/495338913792], [[[1, 5], [2, 4], [3, 2], [4, 2], [8, 1], [10, 1]], 71/6635520], [[[1, 5], [2, 4], [3, 2], [4, 2], [8, 1], [12, 1]], 10388417/183458856960], [[[1, 5], [2, 4], [3, 2], [4, 2], [10, 1], [12, 1]], 1110101/114661785600], [[[1, 5], [2, 4], [3, 2], [4, 3], [5, 1], [6, 1]], 423457/19110297600], [[[1, 5], [2, 4], [3, 2], [4, 3], [6, 1], [8, 1]], 447953/6115295232], [[[1, 5], [2, 4], [3, 2], [4, 3], [6, 1], [10, 1]], 6011/1274019840], [[[1, 5], [2, 4], [3, 2], [4, 3], [6, 1], [12, 1]], 13259711/91729428480], [[[1, 5], [2, 4], [3, 2], [5, 1], [6, 1], [7, 1]], 173/4838400], [[[1, 5], [2, 4], [3, 2], [5, 1], [6, 1], [9, 1]], 421/14929920], [[[1, 5], [2, 4], [3, 2], [5, 1], [6, 1], [14, 1]], 17/483840], [[[1, 5], [2, 4], [3, 2], [5, 1], [6, 1], [18, 1]], 553/24883200], [[[1, 5], [2, 4], [3, 2], [5, 1], [6, 2], [8, 1]], 209/12441600], [[[1, 5], [2, 4], [3, 2], [5, 1], [6, 2], [10, 1]], 134821/829440000], [[[1, 5], [2, 4], [3, 2], [5, 1], [6, 2], [12, 1]], 68323/3583180800], [[[1, 5], [2, 4], [3, 2], [5, 1], [8, 1], [10, 1]], 1/172800], [[[1, 5], [2, 4], [3, 2], [5, 1], [8, 1], [12, 1]], 113/8294400], [[[1, 5], [2, 4], [3, 2], [5, 1], [10, 1], [12, 1]], 407/46080000], [[[1, 5], [2, 4], [3, 2], [6, 1], [7, 1], [8, 1]], 11/344064], [[[1, 5], [2, 4], [3, 2], [6, 1], [7, 1], [10, 1]], 53/6967296], [[[1, 5], [2, 4], [3, 2], [6, 1], [7, 1], [12, 1]], 11965/334430208], [[[1, 5], [2, 4], [3, 2], [6, 1], [8, 1], [9, 1]], 47/1990656], [[[1, 5], [2, 4], [3, 2], [6, 1], [8, 1], [14, 1]], 1115/55738368], [[[1, 5], [2, 4], [3, 2], [6, 1], [8, 1], [18, 1]], 3247/214990848], [[[1, 5], [2, 4], [3, 2], [6, 1], [9, 1], [10, 1]], 1969/223948800], [[[1, 5], [2, 4], [3, 2], [6, 1], [9, 1], [12, 1]], 44401/2149908480], [[[1, 5], [2, 4], [3, 2], [6, 1], [10, 1], [14, 1]], 7/1658880], [[[1, 5], [2, 4], [3, 2], [6, 1], [10, 1], [18, 1]], 2477/671846400], [[[1, 5], [2, 4], [3, 2], [6, 1], [12, 1], [14, 1]], 4645/167215104], [[[1, 5], [2, 4], [3, 2], [6, 1], [12, 1], [18, 1]], 373843/20639121408], [[[1, 5], [2, 4], [3, 2], [6, 2], [8, 1], [10, 1]], 10093/955514880], [[[1, 5], [2, 4], [3, 2], [6, 2], [8, 1], [12, 1]], 6595/286654464], [[[1, 5], [2, 4], [3, 2], [6, 2], [10, 1], [12, 1]], 13121/895795200], [[[1, 5], [2, 4], [3, 2], [8, 1], [10, 1], [12, 1]], 247/53084160], [[[1, 5], [2, 4], [3, 3], [4, 1], [5, 1], [6, 2]], 85651/2687385600], [[[1, 5], [2, 4], [3, 3], [4, 1], [5, 1], [8, 1]], 32663/2388787200], [[[1, 5], [2, 4], [3, 3], [4, 1], [5, 1], [10, 1]], 1/311040], [[[1, 5], [2, 4], [3, 3], [4, 1], [5, 1], [12, 1]], 587/49766400], [[[1, 5], [2, 4], [3, 3], [4, 1], [6, 1], [7, 1]], 7/1492992], [[[1, 5], [2, 4], [3, 3], [4, 1], [6, 1], [9, 1]], 115879/12899450880], [[[1, 5], [2, 4], [3, 3], [4, 1], [6, 1], [14, 1]], 919/250822656], [[[1, 5], [2, 4], [3, 3], [4, 1], [6, 1], [18, 1]], 47/15116544], [[[1, 5], [2, 4], [3, 3], [4, 1], [6, 2], [8, 1]], 13143353/412782428160], [[[1, 5], [2, 4], [3, 3], [4, 1], [6, 2], [10, 1]], 2891/716636160], [[[1, 5], [2, 4], [3, 3], [4, 1], [6, 2], [12, 1]], 200245/5159780352], [[[1, 5], [2, 4], [3, 3], [4, 1], [8, 1], [10, 1]], 4681/2388787200], [[[1, 5], [2, 4], [3, 3], [4, 1], [8, 1], [12, 1]], 111617/7644119040], [[[1, 5], [2, 4], [3, 3], [4, 1], [10, 1], [12, 1]], 893/358318080], [[[1, 5], [2, 4], [3, 3], [4, 2], [5, 1], [6, 1]], 558179/85996339200], [[[1, 5], [2, 4], [3, 3], [4, 2], [6, 1], [8, 1]], 343699/13759414272], [[[1, 5], [2, 4], [3, 3], [4, 2], [6, 1], [10, 1]], 12071/5733089280], [[[1, 5], [2, 4], [3, 3], [4, 2], [6, 1], [12, 1]], 10493759/206391214080], [[[1, 5], [2, 4], [3, 3], [5, 1], [6, 1], [8, 1]], 527/33177600], [[[1, 5], [2, 4], [3, 3], [5, 1], [6, 1], [10, 1]], 31123/1119744000], [[[1, 5], [2, 4], [3, 3], [5, 1], [6, 1], [12, 1]], 206203/10749542400], [[[1, 5], [2, 4], [3, 3], [6, 1], [8, 1], [10, 1]], 7/3317760], [[[1, 5], [2, 4], [3, 3], [6, 1], [8, 1], [12, 1]], 26471/1719926784], [[[1, 5], [2, 4], [3, 3], [6, 1], [10, 1], [12, 1]], 71/18662400], [[[1, 5], [2, 4], [3, 4], [4, 1], [5, 1], [6, 1]], 1190861/429981696000], [[[1, 5], [2, 4], [3, 4], [4, 1], [6, 1], [8, 1]], 126913/30576476160], [[[1, 5], [2, 4], [3, 4], [4, 1], [6, 1], [10, 1]], 570503/859963392000], [[[1, 5], [2, 4], [3, 4], [4, 1], [6, 1], [12, 1]], 10274503/2063912140800], [[[1, 5], [2, 4], [4, 1], [5, 1], [6, 1], [8, 2]], 12917/530841600], [[[1, 5], [2, 4], [4, 1], [5, 1], [6, 1], [10, 2]], 72749/1658880000], [[[1, 5], [2, 4], [4, 1], [5, 1], [6, 1], [12, 2]], 8717/796262400], [[[1, 5], [2, 4], [4, 1], [5, 1], [6, 1], [15, 1]], 461/82944000], [[[1, 5], [2, 4], [4, 1], [5, 1], [6, 1], [20, 1]], 461/55296000], [[[1, 5], [2, 4], [4, 1], [5, 1], [6, 1], [24, 1]], 461/66355200], [[[1, 5], [2, 4], [4, 1], [5, 1], [6, 1], [30, 1]], 461/82944000], [[[1, 5], [2, 4], [4, 1], [5, 1], [6, 2], [7, 1]], 1/241920], [[[1, 5], [2, 4], [4, 1], [5, 1], [6, 2], [9, 1]], 7/3732480], [[[1, 5], [2, 4], [4, 1], [5, 1], [6, 2], [14, 1]], 1/645120], [[[1, 5], [2, 4], [4, 1], [5, 1], [6, 2], [18, 1]], 641/149299200], [[[1, 5], [2, 4], [4, 1], [5, 1], [6, 3], [8, 1]], 209/149299200], [[[1, 5], [2, 4], [4, 1], [5, 1], [6, 3], [10, 1]], 1271/746496000], [[[1, 5], [2, 4], [4, 1], [5, 1], [6, 3], [12, 1]], 2401/1433272320], [[[1, 5], [2, 4], [4, 1], [5, 1], [7, 1], [8, 1]], 197/2867200], [[[1, 5], [2, 4], [4, 1], [5, 1], [7, 1], [10, 1]], 1/5600], [[[1, 5], [2, 4], [4, 1], [5, 1], [7, 1], [12, 1]], 1/40320], [[[1, 5], [2, 4], [4, 1], [5, 1], [8, 1], [9, 1]], 1283/33177600], [[[1, 5], [2, 4], [4, 1], [5, 1], [8, 1], [14, 1]], 41/716800], [[[1, 5], [2, 4], [4, 1], [5, 1], [8, 1], [18, 1]], 37/1036800], [[[1, 5], [2, 4], [4, 1], [5, 1], [9, 1], [10, 1]], 1/10800], [[[1, 5], [2, 4], [4, 1], [5, 1], [9, 1], [12, 1]], 1/69120], [[[1, 5], [2, 4], [4, 1], [5, 1], [10, 1], [14, 1]], 251/2688000], [[[1, 5], [2, 4], [4, 1], [5, 1], [10, 1], [18, 1]], 731/10368000], [[[1, 5], [2, 4], [4, 1], [5, 1], [12, 1], [14, 1]], 1/44800], [[[1, 5], [2, 4], [4, 1], [5, 1], [12, 1], [18, 1]], 43/3110400], [[[1, 5], [2, 4], [4, 1], [5, 2], [6, 1], [8, 1]], 6217/1061683200], [[[1, 5], [2, 4], [4, 1], [5, 2], [6, 1], [10, 1]], 7213/1105920000], [[[1, 5], [2, 4], [4, 1], [5, 2], [6, 1], [12, 1]], 50869/7962624000], [[[1, 5], [2, 4], [4, 1], [6, 1], [7, 1], [9, 1]], 5/290304], [[[1, 5], [2, 4], [4, 1], [6, 1], [7, 1], [14, 1]], 823/5419008], [[[1, 5], [2, 4], [4, 1], [6, 1], [7, 1], [18, 1]], 137/6967296], [[[1, 5], [2, 4], [4, 1], [6, 1], [8, 1], [10, 2]], 3893/212336640], [[[1, 5], [2, 4], [4, 1], [6, 1], [8, 1], [12, 2]], 9289/509607936], [[[1, 5], [2, 4], [4, 1], [6, 1], [8, 1], [15, 1]], 457/53084160], [[[1, 5], [2, 4], [4, 1], [6, 1], [8, 1], [16, 1]], 131/1769472], [[[1, 5], [2, 4], [4, 1], [6, 1], [8, 1], [20, 1]], 97/3932160], [[[1, 5], [2, 4], [4, 1], [6, 1], [8, 1], [24, 1]], 1289/42467328], [[[1, 5], [2, 4], [4, 1], [6, 1], [8, 1], [30, 1]], 457/53084160], [[[1, 5], [2, 4], [4, 1], [6, 1], [8, 2], [10, 1]], 12841/353894400], [[[1, 5], [2, 4], [4, 1], [6, 1], [8, 2], [12, 1]], 98353/2548039680], [[[1, 5], [2, 4], [4, 1], [6, 1], [9, 1], [14, 1]], 5/435456], [[[1, 5], [2, 4], [4, 1], [6, 1], [9, 1], [18, 1]], 1357/26873856], [[[1, 5], [2, 4], [4, 1], [6, 1], [10, 1], [12, 2]], 3181/530841600], [[[1, 5], [2, 4], [4, 1], [6, 1], [10, 1], [15, 1]], 301/55296000], [[[1, 5], [2, 4], [4, 1], [6, 1], [10, 1], [16, 1]], 1/92160], [[[1, 5], [2, 4], [4, 1], [6, 1], [10, 1], [20, 1]], 301/36864000], [[[1, 5], [2, 4], [4, 1], [6, 1], [10, 1], [24, 1]], 301/44236800], [[[1, 5], [2, 4], [4, 1], [6, 1], [10, 1], [30, 1]], 301/55296000], [[[1, 5], [2, 4], [4, 1], [6, 1], [10, 2], [12, 1]], 61813/7962624000], [[[1, 5], [2, 4], [4, 1], [6, 1], [12, 1], [15, 1]], 1333/398131200], [[[1, 5], [2, 4], [4, 1], [6, 1], [12, 1], [16, 1]], 31/1327104], [[[1, 5], [2, 4], [4, 1], [6, 1], [12, 1], [20, 1]], 3413/265420800], [[[1, 5], [2, 4], [4, 1], [6, 1], [12, 1], [24, 1]], 4453/318504960], [[[1, 5], [2, 4], [4, 1], [6, 1], [12, 1], [30, 1]], 1333/398131200], [[[1, 5], [2, 4], [4, 1], [6, 1], [14, 1], [18, 1]], 1313/139345920], [[[1, 5], [2, 4], [4, 1], [6, 2], [7, 1], [8, 1]], 463/18579456], [[[1, 5], [2, 4], [4, 1], [6, 2], [7, 1], [10, 1]], 1/60480], [[[1, 5], [2, 4], [4, 1], [6, 2], [7, 1], [12, 1]], 9/458752], [[[1, 5], [2, 4], [4, 1], [6, 2], [8, 1], [9, 1]], 841/71663616], [[[1, 5], [2, 4], [4, 1], [6, 2], [8, 1], [14, 1]], 5/442368], [[[1, 5], [2, 4], [4, 1], [6, 2], [8, 1], [18, 1]], 1241/95551488], [[[1, 5], [2, 4], [4, 1], [6, 2], [9, 1], [10, 1]], 1/138240], [[[1, 5], [2, 4], [4, 1], [6, 2], [9, 1], [12, 1]], 649/71663616], [[[1, 5], [2, 4], [4, 1], [6, 2], [10, 1], [14, 1]], 1/161280], [[[1, 5], [2, 4], [4, 1], [6, 2], [10, 1], [18, 1]], 2263/298598400], [[[1, 5], [2, 4], [4, 1], [6, 2], [12, 1], [14, 1]], 6233/743178240], [[[1, 5], [2, 4], [4, 1], [6, 2], [12, 1], [18, 1]], 4589/573308928], [[[1, 5], [2, 4], [4, 1], [6, 3], [8, 1], [10, 1]], 97/14929920], [[[1, 5], [2, 4], [4, 1], [6, 3], [8, 1], [12, 1]], 40721/4586471424], [[[1, 5], [2, 4], [4, 1], [6, 3], [10, 1], [12, 1]], 8423/1592524800], [[[1, 5], [2, 4], [4, 1], [7, 1], [8, 1], [10, 1]], 197/2867200], [[[1, 5], [2, 4], [4, 1], [7, 1], [8, 1], [12, 1]], 5/86016], [[[1, 5], [2, 4], [4, 1], [7, 1], [10, 1], [12, 1]], 1/40320], [[[1, 5], [2, 4], [4, 1], [8, 1], [9, 1], [10, 1]], 1081/33177600], [[[1, 5], [2, 4], [4, 1], [8, 1], [9, 1], [12, 1]], 5/165888], [[[1, 5], [2, 4], [4, 1], [8, 1], [10, 1], [14, 1]], 9/286720], [[[1, 5], [2, 4], [4, 1], [8, 1], [10, 1], [18, 1]], 19/829440], [[[1, 5], [2, 4], [4, 1], [8, 1], [12, 1], [14, 1]], 1/32256], [[[1, 5], [2, 4], [4, 1], [8, 1], [12, 1], [18, 1]], 23/995328], [[[1, 5], [2, 4], [4, 1], [9, 1], [10, 1], [12, 1]], 7/622080], [[[1, 5], [2, 4], [4, 1], [10, 1], [12, 1], [14, 1]], 1/107520], [[[1, 5], [2, 4], [4, 1], [10, 1], [12, 1], [18, 1]], 1/138240], [[[1, 5], [2, 4], [4, 2], [5, 1], [6, 1], [7, 1]], 43/3225600], [[[1, 5], [2, 4], [4, 2], [5, 1], [6, 1], [9, 1]], 479/74649600], [[[1, 5], [2, 4], [4, 2], [5, 1], [6, 1], [14, 1]], 1/153600], [[[1, 5], [2, 4], [4, 2], [5, 1], [6, 1], [18, 1]], 18467/2388787200], [[[1, 5], [2, 4], [4, 2], [5, 1], [6, 2], [8, 1]], 967/132710400], [[[1, 5], [2, 4], [4, 2], [5, 1], [6, 2], [10, 1]], 23/1536000], [[[1, 5], [2, 4], [4, 2], [5, 1], [6, 2], [12, 1]], 748123/114661785600], [[[1, 5], [2, 4], [4, 2], [5, 1], [8, 1], [10, 1]], 11513/36864000], [[[1, 5], [2, 4], [4, 2], [5, 1], [8, 1], [12, 1]], 761/6635520], [[[1, 5], [2, 4], [4, 2], [5, 1], [10, 1], [12, 1]], 3781/34560000], [[[1, 5], [2, 4], [4, 2], [6, 1], [7, 1], [8, 1]], 635/12386304], [[[1, 5], [2, 4], [4, 2], [6, 1], [7, 1], [10, 1]], 1327/61931520], [[[1, 5], [2, 4], [4, 2], [6, 1], [7, 1], [12, 1]], 1915/63700992], [[[1, 5], [2, 4], [4, 2], [6, 1], [8, 1], [9, 1]], 301/11943936], [[[1, 5], [2, 4], [4, 2], [6, 1], [8, 1], [14, 1]], 1355/49545216], [[[1, 5], [2, 4], [4, 2], [6, 1], [8, 1], [18, 1]], 118693/3822059520], [[[1, 5], [2, 4], [4, 2], [6, 1], [9, 1], [10, 1]], 791/79626240], [[[1, 5], [2, 4], [4, 2], [6, 1], [9, 1], [12, 1]], 8365/573308928], [[[1, 5], [2, 4], [4, 2], [6, 1], [10, 1], [14, 1]], 13/1376256], [[[1, 5], [2, 4], [4, 2], [6, 1], [10, 1], [18, 1]], 22051/2388787200], [[[1, 5], [2, 4], [4, 2], [6, 1], [12, 1], [14, 1]], 6557/445906944], [[[1, 5], [2, 4], [4, 2], [6, 1], [12, 1], [18, 1]], 2881/214990848], [[[1, 5], [2, 4], [4, 2], [6, 2], [8, 1], [10, 1]], 2111/106168320], [[[1, 5], [2, 4], [4, 2], [6, 2], [8, 1], [12, 1]], 778153/20384317440], [[[1, 5], [2, 4], [4, 2], [6, 2], [10, 1], [12, 1]], 486863/38220595200], [[[1, 5], [2, 4], [4, 2], [8, 1], [10, 1], [12, 1]], 13/165888], [[[1, 5], [2, 4], [4, 3], [5, 1], [6, 1], [8, 1]], 3031/176947200], [[[1, 5], [2, 4], [4, 3], [5, 1], [6, 1], [10, 1]], 2183/49152000], [[[1, 5], [2, 4], [4, 3], [5, 1], [6, 1], [12, 1]], 37649/3185049600], [[[1, 5], [2, 4], [4, 3], [6, 1], [8, 1], [10, 1]], 491/11796480], [[[1, 5], [2, 4], [4, 3], [6, 1], [8, 1], [12, 1]], 106217/1019215872], [[[1, 5], [2, 4], [4, 3], [6, 1], [10, 1], [12, 1]], 7801/353894400], [[[1, 5], [2, 4], [5, 1], [6, 1], [7, 1], [8, 1]], 1/80640], [[[1, 5], [2, 4], [5, 1], [6, 1], [7, 1], [10, 1]], 19/1008000], [[[1, 5], [2, 4], [5, 1], [6, 1], [7, 1], [12, 1]], 13/806400], [[[1, 5], [2, 4], [5, 1], [6, 1], [8, 1], [9, 1]], 1/138240], [[[1, 5], [2, 4], [5, 1], [6, 1], [8, 1], [14, 1]], 1/89600], [[[1, 5], [2, 4], [5, 1], [6, 1], [8, 1], [18, 1]], 13/1244160], [[[1, 5], [2, 4], [5, 1], [6, 1], [9, 1], [10, 1]], 37/3888000], [[[1, 5], [2, 4], [5, 1], [6, 1], [9, 1], [12, 1]], 41/4665600], [[[1, 5], [2, 4], [5, 1], [6, 1], [10, 1], [14, 1]], 1/84000], [[[1, 5], [2, 4], [5, 1], [6, 1], [10, 1], [18, 1]], 127/8640000], [[[1, 5], [2, 4], [5, 1], [6, 1], [12, 1], [14, 1]], 1/80640], [[[1, 5], [2, 4], [5, 1], [6, 1], [12, 1], [18, 1]], 73/9331200], [[[1, 5], [2, 4], [5, 1], [6, 2], [8, 1], [10, 1]], 1/192000], [[[1, 5], [2, 4], [5, 1], [6, 2], [8, 1], [12, 1]], 97/16588800], [[[1, 5], [2, 4], [5, 1], [6, 2], [10, 1], [12, 1]], 109/15360000], [[[1, 5], [2, 4], [6, 1], [7, 1], [8, 1], [10, 1]], 19/645120], [[[1, 5], [2, 4], [6, 1], [7, 1], [8, 1], [12, 1]], 25/1548288], [[[1, 5], [2, 4], [6, 1], [7, 1], [10, 1], [12, 1]], 1/71680], [[[1, 5], [2, 4], [6, 1], [8, 1], [9, 1], [10, 1]], 11/829440], [[[1, 5], [2, 4], [6, 1], [8, 1], [9, 1], [12, 1]], 47/5971968], [[[1, 5], [2, 4], [6, 1], [8, 1], [10, 1], [14, 1]], 1/86016], [[[1, 5], [2, 4], [6, 1], [8, 1], [10, 1], [18, 1]], 109/9953280], [[[1, 5], [2, 4], [6, 1], [8, 1], [12, 1], [14, 1]], 25/3096576], [[[1, 5], [2, 4], [6, 1], [8, 1], [12, 1], [18, 1]], 23/3981312], [[[1, 5], [2, 4], [6, 1], [9, 1], [10, 1], [12, 1]], 1/165888], [[[1, 5], [2, 4], [6, 1], [10, 1], [12, 1], [14, 1]], 1/215040], [[[1, 5], [2, 4], [6, 1], [10, 1], [12, 1], [18, 1]], 1/276480], [[[1, 5], [2, 4], [6, 2], [8, 1], [10, 1], [12, 1]], 367/53084160], [[[1, 5], [2, 6], [3, 1], [4, 1], [5, 1], [6, 3]], 217861/42998169600], [[[1, 5], [2, 6], [3, 1], [4, 1], [5, 1], [7, 1]], 1039/154828800], [[[1, 5], [2, 6], [3, 1], [4, 1], [5, 1], [9, 1]], 132557/23887872000], [[[1, 5], [2, 6], [3, 1], [4, 1], [5, 1], [14, 1]], 2407/154828800], [[[1, 5], [2, 6], [3, 1], [4, 1], [5, 1], [18, 1]], 4213/597196800], [[[1, 5], [2, 6], [3, 1], [4, 1], [5, 2], [6, 1]], 326267/31850496000], [[[1, 5], [2, 6], [3, 1], [4, 1], [6, 1], [8, 2]], 149743/2038431744], [[[1, 5], [2, 6], [3, 1], [4, 1], [6, 1], [10, 2]], 20339/1274019840], [[[1, 5], [2, 6], [3, 1], [4, 1], [6, 1], [12, 2]], 100847/15288238080], [[[1, 5], [2, 6], [3, 1], [4, 1], [6, 1], [15, 1]], 8699/1592524800], [[[1, 5], [2, 6], [3, 1], [4, 1], [6, 1], [16, 1]], 1009/42467328], [[[1, 5], [2, 6], [3, 1], [4, 1], [6, 1], [20, 1]], 8699/1061683200], [[[1, 5], [2, 6], [3, 1], [4, 1], [6, 1], [24, 1]], 22169/1274019840], [[[1, 5], [2, 6], [3, 1], [4, 1], [6, 1], [30, 1]], 8699/1592524800], [[[1, 5], [2, 6], [3, 1], [4, 1], [6, 2], [7, 1]], 5707/318504960], [[[1, 5], [2, 6], [3, 1], [4, 1], [6, 2], [9, 1]], 100633/8599633920], [[[1, 5], [2, 6], [3, 1], [4, 1], [6, 2], [14, 1]], 50453/2229534720], [[[1, 5], [2, 6], [3, 1], [4, 1], [6, 2], [18, 1]], 457/29859840], [[[1, 5], [2, 6], [3, 1], [4, 1], [6, 3], [8, 1]], 227491/8599633920], [[[1, 5], [2, 6], [3, 1], [4, 1], [6, 3], [10, 1]], 42013/2866544640], [[[1, 5], [2, 6], [3, 1], [4, 1], [6, 3], [12, 1]], 2096765/82556485632], [[[1, 5], [2, 6], [3, 1], [4, 1], [7, 1], [8, 1]], 199/17694720], [[[1, 5], [2, 6], [3, 1], [4, 1], [7, 1], [10, 1]], 109/12902400], [[[1, 5], [2, 6], [3, 1], [4, 1], [7, 1], [12, 1]], 313/74317824], [[[1, 5], [2, 6], [3, 1], [4, 1], [8, 1], [9, 1]], 46523/5096079360], [[[1, 5], [2, 6], [3, 1], [4, 1], [8, 1], [14, 1]], 211/10321920], [[[1, 5], [2, 6], [3, 1], [4, 1], [8, 1], [18, 1]], 4817/477757440], [[[1, 5], [2, 6], [3, 1], [4, 1], [9, 1], [10, 1]], 152557/23887872000], [[[1, 5], [2, 6], [3, 1], [4, 1], [9, 1], [12, 1]], 8707/2866544640], [[[1, 5], [2, 6], [3, 1], [4, 1], [10, 1], [14, 1]], 881/77414400], [[[1, 5], [2, 6], [3, 1], [4, 1], [10, 1], [18, 1]], 601/99532800], [[[1, 5], [2, 6], [3, 1], [4, 1], [12, 1], [14, 1]], 3053/371589120], [[[1, 5], [2, 6], [3, 1], [4, 1], [12, 1], [18, 1]], 5719/1433272320], [[[1, 5], [2, 6], [3, 1], [4, 2], [5, 1], [6, 2]], 48329/3583180800], [[[1, 5], [2, 6], [3, 1], [4, 2], [5, 1], [8, 1]], 59281/2123366400], [[[1, 5], [2, 6], [3, 1], [4, 2], [5, 1], [10, 1]], 27473/663552000], [[[1, 5], [2, 6], [3, 1], [4, 2], [5, 1], [12, 1]], 100003/9555148800], [[[1, 5], [2, 6], [3, 1], [4, 2], [6, 1], [7, 1]], 44741/2006581248], [[[1, 5], [2, 6], [3, 1], [4, 2], [6, 1], [9, 1]], 10295999/619173642240], [[[1, 5], [2, 6], [3, 1], [4, 2], [6, 1], [14, 1]], 42173/1114767360], [[[1, 5], [2, 6], [3, 1], [4, 2], [6, 1], [18, 1]], 703921/34398535680], [[[1, 5], [2, 6], [3, 1], [4, 2], [6, 2], [8, 1]], 6838441/91729428480], [[[1, 5], [2, 6], [3, 1], [4, 2], [6, 2], [10, 1]], 559301/19110297600], [[[1, 5], [2, 6], [3, 1], [4, 2], [6, 2], [12, 1]], 128012117/1651129712640], [[[1, 5], [2, 6], [3, 1], [4, 2], [8, 1], [10, 1]], 15103/707788800], [[[1, 5], [2, 6], [3, 1], [4, 2], [8, 1], [12, 1]], 553103/15288238080], [[[1, 5], [2, 6], [3, 1], [4, 2], [10, 1], [12, 1]], 534347/47775744000], [[[1, 5], [2, 6], [3, 1], [4, 3], [5, 1], [6, 1]], 17573/796262400], [[[1, 5], [2, 6], [3, 1], [4, 3], [6, 1], [8, 1]], 5776759/45864714240], [[[1, 5], [2, 6], [3, 1], [4, 3], [6, 1], [10, 1]], 42817/1592524800], [[[1, 5], [2, 6], [3, 1], [4, 3], [6, 1], [12, 1]], 375049/3822059520], [[[1, 5], [2, 6], [3, 1], [5, 1], [6, 1], [7, 1]], 12259/1045094400], [[[1, 5], [2, 6], [3, 1], [5, 1], [6, 1], [9, 1]], 343757/40310784000], [[[1, 5], [2, 6], [3, 1], [5, 1], [6, 1], [14, 1]], 937/38707200], [[[1, 5], [2, 6], [3, 1], [5, 1], [6, 1], [18, 1]], 5569/477757440], [[[1, 5], [2, 6], [3, 1], [5, 1], [6, 2], [8, 1]], 2557/298598400], [[[1, 5], [2, 6], [3, 1], [5, 1], [6, 2], [10, 1]], 20801/829440000], [[[1, 5], [2, 6], [3, 1], [5, 1], [6, 2], [12, 1]], 222649/22932357120], [[[1, 5], [2, 6], [3, 1], [5, 1], [8, 1], [10, 1]], 439/34560000], [[[1, 5], [2, 6], [3, 1], [5, 1], [8, 1], [12, 1]], 1/368640], [[[1, 5], [2, 6], [3, 1], [5, 1], [10, 1], [12, 1]], 3433/414720000], [[[1, 5], [2, 6], [3, 1], [6, 1], [7, 1], [8, 1]], 401/23224320], [[[1, 5], [2, 6], [3, 1], [6, 1], [7, 1], [10, 1]], 859/38707200], [[[1, 5], [2, 6], [3, 1], [6, 1], [7, 1], [12, 1]], 109/39191040], [[[1, 5], [2, 6], [3, 1], [6, 1], [8, 1], [9, 1]], 13597/1146617856], [[[1, 5], [2, 6], [3, 1], [6, 1], [8, 1], [14, 1]], 247/9289728], [[[1, 5], [2, 6], [3, 1], [6, 1], [8, 1], [18, 1]], 1805/127401984], [[[1, 5], [2, 6], [3, 1], [6, 1], [9, 1], [10, 1]], 16379/1194393600], [[[1, 5], [2, 6], [3, 1], [6, 1], [9, 1], [12, 1]], 72517/38698352640], [[[1, 5], [2, 6], [3, 1], [6, 1], [10, 1], [14, 1]], 937/38707200], [[[1, 5], [2, 6], [3, 1], [6, 1], [10, 1], [18, 1]], 63359/4478976000], [[[1, 5], [2, 6], [3, 1], [6, 1], [12, 1], [14, 1]], 589/139345920], [[[1, 5], [2, 6], [3, 1], [6, 1], [12, 1], [18, 1]], 38497/17199267840], [[[1, 5], [2, 6], [3, 1], [6, 2], [8, 1], [10, 1]], 161/7372800], [[[1, 5], [2, 6], [3, 1], [6, 2], [8, 1], [12, 1]], 1133723/91729428480], [[[1, 5], [2, 6], [3, 1], [6, 2], [10, 1], [12, 1]], 303509/23887872000], [[[1, 5], [2, 6], [3, 1], [8, 1], [10, 1], [12, 1]], 31/6635520], [[[1, 5], [2, 6], [3, 2], [4, 1], [5, 1], [6, 2]], 211349453/6879707136000], [[[1, 5], [2, 6], [3, 2], [4, 1], [5, 1], [8, 1]], 173/16588800], [[[1, 5], [2, 6], [3, 2], [4, 1], [5, 1], [10, 1]], 401/31104000], [[[1, 5], [2, 6], [3, 2], [4, 1], [5, 1], [12, 1]], 678757/127401984000], [[[1, 5], [2, 6], [3, 2], [4, 1], [6, 1], [7, 1]], 3271/247726080], [[[1, 5], [2, 6], [3, 2], [4, 1], [6, 1], [9, 1]], 11/933120], [[[1, 5], [2, 6], [3, 2], [4, 1], [6, 1], [14, 1]], 50453/2229534720], [[[1, 5], [2, 6], [3, 2], [4, 1], [6, 1], [18, 1]], 100027/8599633920], [[[1, 5], [2, 6], [3, 2], [4, 1], [6, 2], [8, 1]], 99206629/880602513408], [[[1, 5], [2, 6], [3, 2], [4, 1], [6, 2], [10, 1]], 273177653/6879707136000], [[[1, 5], [2, 6], [3, 2], [4, 1], [6, 2], [12, 1]], 78734197/825564856320], [[[1, 5], [2, 6], [3, 2], [4, 1], [8, 1], [10, 1]], 251/29491200], [[[1, 5], [2, 6], [3, 2], [4, 1], [8, 1], [12, 1]], 88873/9059696640], [[[1, 5], [2, 6], [3, 2], [4, 1], [10, 1], [12, 1]], 2339911/382205952000], [[[1, 5], [2, 6], [3, 2], [4, 2], [5, 1], [6, 1]], 3310757/171992678400], [[[1, 5], [2, 6], [3, 2], [4, 2], [6, 1], [8, 1]], 574237/9172942848], [[[1, 5], [2, 6], [3, 2], [4, 2], [6, 1], [10, 1]], 714649/57330892800], [[[1, 5], [2, 6], [3, 2], [4, 2], [6, 1], [12, 1]], 1801280983/29720334827520], [[[1, 5], [2, 6], [3, 2], [5, 1], [6, 1], [8, 1]], 11377/796262400], [[[1, 5], [2, 6], [3, 2], [5, 1], [6, 1], [10, 1]], 2923/138240000], [[[1, 5], [2, 6], [3, 2], [5, 1], [6, 1], [12, 1]], 1633487/214990848000], [[[1, 5], [2, 6], [3, 2], [6, 1], [8, 1], [10, 1]], 27769/2388787200], [[[1, 5], [2, 6], [3, 2], [6, 1], [8, 1], [12, 1]], 945491/91729428480], [[[1, 5], [2, 6], [3, 2], [6, 1], [10, 1], [12, 1]], 648011/57330892800], [[[1, 5], [2, 6], [3, 3], [4, 1], [5, 1], [6, 1]], 75817/8599633920], [[[1, 5], [2, 6], [3, 3], [4, 1], [6, 1], [8, 1]], 1458431/77396705280], [[[1, 5], [2, 6], [3, 3], [4, 1], [6, 1], [10, 1]], 185707/42998169600], [[[1, 5], [2, 6], [3, 3], [4, 1], [6, 1], [12, 1]], 781289/45864714240], [[[1, 5], [2, 6], [4, 1], [5, 1], [6, 1], [7, 1]], 17/2419200], [[[1, 5], [2, 6], [4, 1], [5, 1], [6, 1], [9, 1]], 173/37324800], [[[1, 5], [2, 6], [4, 1], [5, 1], [6, 1], [14, 1]], 881/77414400], [[[1, 5], [2, 6], [4, 1], [5, 1], [6, 1], [18, 1]], 156437/23887872000], [[[1, 5], [2, 6], [4, 1], [5, 1], [6, 2], [8, 1]], 6947/796262400], [[[1, 5], [2, 6], [4, 1], [5, 1], [6, 2], [10, 1]], 1973/99532800], [[[1, 5], [2, 6], [4, 1], [5, 1], [6, 2], [12, 1]], 2466191/382205952000], [[[1, 5], [2, 6], [4, 1], [5, 1], [8, 1], [10, 1]], 354497/4423680000], [[[1, 5], [2, 6], [4, 1], [5, 1], [8, 1], [12, 1]], 47/4423680], [[[1, 5], [2, 6], [4, 1], [5, 1], [10, 1], [12, 1]], 181/11520000], [[[1, 5], [2, 6], [4, 1], [6, 1], [7, 1], [8, 1]], 1091/69672960], [[[1, 5], [2, 6], [4, 1], [6, 1], [7, 1], [10, 1]], 2453/154828800], [[[1, 5], [2, 6], [4, 1], [6, 1], [7, 1], [12, 1]], 2431/371589120], [[[1, 5], [2, 6], [4, 1], [6, 1], [8, 1], [9, 1]], 42467/4299816960], [[[1, 5], [2, 6], [4, 1], [6, 1], [8, 1], [14, 1]], 211/10321920], [[[1, 5], [2, 6], [4, 1], [6, 1], [8, 1], [18, 1]], 38365/3057647616], [[[1, 5], [2, 6], [4, 1], [6, 1], [9, 1], [10, 1]], 5461/597196800], [[[1, 5], [2, 6], [4, 1], [6, 1], [9, 1], [12, 1]], 1957/477757440], [[[1, 5], [2, 6], [4, 1], [6, 1], [10, 1], [14, 1]], 2407/154828800], [[[1, 5], [2, 6], [4, 1], [6, 1], [10, 1], [18, 1]], 243077/23887872000], [[[1, 5], [2, 6], [4, 1], [6, 1], [12, 1], [14, 1]], 3053/371589120], [[[1, 5], [2, 6], [4, 1], [6, 1], [12, 1], [18, 1]], 13231/2866544640], [[[1, 5], [2, 6], [4, 1], [6, 2], [8, 1], [10, 1]], 15217/796262400], [[[1, 5], [2, 6], [4, 1], [6, 2], [8, 1], [12, 1]], 3538643/244611809280], [[[1, 5], [2, 6], [4, 1], [6, 2], [10, 1], [12, 1]], 453359/42467328000], [[[1, 5], [2, 6], [4, 1], [8, 1], [10, 1], [12, 1]], 47/2764800], [[[1, 5], [2, 6], [4, 2], [5, 1], [6, 1], [8, 1]], 8567/424673280], [[[1, 5], [2, 6], [4, 2], [5, 1], [6, 1], [10, 1]], 3719/69120000], [[[1, 5], [2, 6], [4, 2], [5, 1], [6, 1], [12, 1]], 4503131/429981696000], [[[1, 5], [2, 6], [4, 2], [6, 1], [8, 1], [10, 1]], 47687/1061683200], [[[1, 5], [2, 6], [4, 2], [6, 1], [8, 1], [12, 1]], 43813/955514880], [[[1, 5], [2, 6], [4, 2], [6, 1], [10, 1], [12, 1]], 165251/9555148800], [[[1, 5], [2, 6], [5, 1], [6, 1], [8, 1], [10, 1]], 403/30720000], [[[1, 5], [2, 6], [5, 1], [6, 1], [8, 1], [12, 1]], 521/132710400], [[[1, 5], [2, 6], [5, 1], [6, 1], [10, 1], [12, 1]], 181/17280000], [[[1, 5], [2, 6], [6, 1], [8, 1], [10, 1], [12, 1]], 643/132710400], [[[1, 5], [2, 8], [3, 1], [4, 1], [5, 1], [6, 2]], 9808271/3009871872000], [[[1, 5], [2, 8], [3, 1], [4, 1], [5, 1], [8, 1]], 13254751/10701766656000], [[[1, 5], [2, 8], [3, 1], [4, 1], [5, 1], [10, 1]], 361499/139345920000], [[[1, 5], [2, 8], [3, 1], [4, 1], [5, 1], [12, 1]], 8791/33443020800], [[[1, 5], [2, 8], [3, 1], [4, 1], [6, 1], [7, 1]], 49631/23410114560], [[[1, 5], [2, 8], [3, 1], [4, 1], [6, 1], [9, 1]], 11537689/7223692492800], [[[1, 5], [2, 8], [3, 1], [4, 1], [6, 1], [14, 1]], 20609/2675441664], [[[1, 5], [2, 8], [3, 1], [4, 1], [6, 1], [18, 1]], 160309/53508833280], [[[1, 5], [2, 8], [3, 1], [4, 1], [6, 2], [8, 1]], 1342544771/154105439846400], [[[1, 5], [2, 8], [3, 1], [4, 1], [6, 2], [10, 1]], 467489/50164531200], [[[1, 5], [2, 8], [3, 1], [4, 1], [6, 2], [12, 1]], 25501613/4623163195392], [[[1, 5], [2, 8], [3, 1], [4, 1], [8, 1], [10, 1]], 34259/10616832000], [[[1, 5], [2, 8], [3, 1], [4, 1], [8, 1], [12, 1]], 17860291/25684239974400], [[[1, 5], [2, 8], [3, 1], [4, 1], [10, 1], [12, 1]], 39449/33443020800], [[[1, 5], [2, 8], [3, 1], [4, 2], [5, 1], [6, 1]], 2115713/687970713600], [[[1, 5], [2, 8], [3, 1], [4, 2], [6, 1], [8, 1]], 5123477/385263599616], [[[1, 5], [2, 8], [3, 1], [4, 2], [6, 1], [10, 1]], 1854677/222953472000], [[[1, 5], [2, 8], [3, 1], [4, 2], [6, 1], [12, 1]], 1113440383/173368619827200], [[[1, 5], [2, 8], [3, 1], [5, 1], [6, 1], [8, 1]], 858509/501645312000], [[[1, 5], [2, 8], [3, 1], [5, 1], [6, 1], [10, 1]], 488239/92897280000], [[[1, 5], [2, 8], [3, 1], [5, 1], [6, 1], [12, 1]], 1661273/6019743744000], [[[1, 5], [2, 8], [3, 1], [6, 1], [8, 1], [10, 1]], 33223/6370099200], [[[1, 5], [2, 8], [3, 1], [6, 1], [8, 1], [12, 1]], 474997/963158999040], [[[1, 5], [2, 8], [3, 1], [6, 1], [10, 1], [12, 1]], 554339/668860416000], [[[1, 5], [2, 8], [3, 2], [4, 1], [5, 1], [6, 1]], 168744763/72236924928000], [[[1, 5], [2, 8], [3, 2], [4, 1], [6, 1], [8, 1]], 21251497/4623163195392], [[[1, 5], [2, 8], [3, 2], [4, 1], [6, 1], [10, 1]], 45891589/10319560704000], [[[1, 5], [2, 8], [3, 2], [4, 1], [6, 1], [12, 1]], 730061081/346737239654400], [[[1, 5], [2, 8], [4, 1], [5, 1], [6, 1], [8, 1]], 189587/95551488000], [[[1, 5], [2, 8], [4, 1], [5, 1], [6, 1], [10, 1]], 1464883/238878720000], [[[1, 5], [2, 8], [4, 1], [5, 1], [6, 1], [12, 1]], 17671/22932357120], [[[1, 5], [2, 8], [4, 1], [6, 1], [8, 1], [10, 1]], 1691371/267544166400], [[[1, 5], [2, 8], [4, 1], [6, 1], [8, 1], [12, 1]], 2434751/1284211998720], [[[1, 5], [2, 8], [4, 1], [6, 1], [10, 1], [12, 1]], 125227/63700992000], [[[1, 5], [2, 10], [3, 1], [4, 1], [5, 1], [6, 1]], 7842193/60197437440000], [[[1, 5], [2, 10], [3, 1], [4, 1], [6, 1], [8, 1]], 3826331/11007531417600], [[[1, 5], [2, 10], [3, 1], [4, 1], [6, 1], [10, 1]], 11455141/16052649984000], [[[1, 5], [2, 10], [3, 1], [4, 1], [6, 1], [12, 1]], 1216211/16511297126400], [[[1, 5], [3, 1], [4, 1], [5, 1], [6, 4], [8, 1]], 1/2388787200], [[[1, 5], [3, 1], [4, 1], [5, 1], [8, 1], [10, 2]], 1/9216000], [[[1, 5], [3, 1], [4, 1], [5, 1], [8, 1], [12, 2]], 1/4423680], [[[1, 5], [3, 1], [4, 1], [5, 1], [8, 1], [15, 1]], 1/460800], [[[1, 5], [3, 1], [4, 1], [5, 1], [8, 1], [20, 1]], 1/307200], [[[1, 5], [3, 1], [4, 1], [5, 1], [8, 1], [24, 1]], 1/368640], [[[1, 5], [3, 1], [4, 1], [5, 1], [8, 1], [30, 1]], 1/460800], [[[1, 5], [3, 1], [4, 1], [5, 2], [6, 2], [8, 1]], 1/132710400], [[[1, 5], [3, 1], [4, 1], [5, 2], [8, 1], [12, 1]], 1/22118400], [[[1, 5], [3, 1], [4, 1], [6, 2], [8, 1], [10, 2]], 1/132710400], [[[1, 5], [3, 1], [4, 1], [6, 2], [8, 1], [12, 2]], 7/63700992], [[[1, 5], [3, 1], [4, 1], [6, 2], [8, 1], [15, 1]], 1/6635520], [[[1, 5], [3, 1], [4, 1], [6, 2], [8, 1], [20, 1]], 1/4423680], [[[1, 5], [3, 1], [4, 1], [6, 2], [8, 1], [24, 1]], 1/5308416], [[[1, 5], [3, 1], [4, 1], [6, 2], [8, 1], [30, 1]], 1/6635520], [[[1, 5], [3, 1], [4, 1], [6, 3], [8, 1], [18, 1]], 1/11943936], [[[1, 5], [3, 1], [4, 1], [6, 4], [8, 1], [12, 1]], 91/5733089280], [[[1, 5], [3, 1], [4, 1], [7, 1], [8, 1], [9, 1]], 1/387072], [[[1, 5], [3, 1], [4, 1], [8, 1], [10, 2], [12, 1]], 1/22118400], [[[1, 5], [3, 1], [4, 1], [8, 1], [12, 1], [15, 1]], 1/1105920], [[[1, 5], [3, 1], [4, 1], [8, 1], [12, 1], [20, 1]], 1/737280], [[[1, 5], [3, 1], [4, 1], [8, 1], [12, 1], [24, 1]], 1/884736], [[[1, 5], [3, 1], [4, 1], [8, 1], [12, 1], [30, 1]], 1/1105920], [[[1, 5], [3, 1], [4, 2], [5, 1], [7, 1], [12, 1]], 1/241920], [[[1, 5], [3, 1], [4, 2], [5, 1], [9, 1], [12, 1]], 11/9331200], [[[1, 5], [3, 1], [4, 2], [6, 1], [7, 1], [18, 1]], 1/1741824], [[[1, 5], [3, 1], [4, 2], [6, 1], [9, 1], [18, 1]], 11/26873856], [[[1, 5], [3, 1], [4, 2], [6, 2], [7, 1], [12, 1]], 11/27869184], [[[1, 5], [3, 1], [4, 2], [6, 2], [9, 1], [12, 1]], 179/1719926784], [[[1, 5], [3, 1], [4, 3], [5, 1], [8, 1], [12, 1]], 1/1105920], [[[1, 5], [3, 1], [4, 3], [6, 1], [8, 1], [18, 1]], 1/7962624], [[[1, 5], [3, 1], [4, 3], [6, 2], [8, 1], [12, 1]], 11/127401984], [[[1, 5], [3, 1], [5, 1], [6, 1], [7, 1], [18, 1]], 1/181440], [[[1, 5], [3, 1], [5, 1], [6, 1], [9, 1], [18, 1]], 19/3499200], [[[1, 5], [3, 1], [5, 1], [6, 2], [7, 1], [12, 1]], 1/967680], [[[1, 5], [3, 1], [5, 1], [6, 2], [9, 1], [12, 1]], 11/37324800], [[[1, 5], [3, 1], [6, 1], [7, 1], [12, 1], [18, 1]], 1/435456], [[[1, 5], [3, 1], [6, 1], [9, 1], [12, 1], [18, 1]], 1/1679616], [[[1, 5], [3, 2], [4, 1], [5, 1], [8, 1], [9, 1]], 1/829440], [[[1, 5], [3, 2], [4, 1], [6, 2], [7, 1], [8, 1]], 1/12386304], [[[1, 5], [3, 2], [4, 1], [6, 2], [8, 1], [9, 1]], 5/47775744], [[[1, 5], [3, 2], [4, 1], [7, 1], [8, 1], [12, 1]], 1/2064384], [[[1, 5], [3, 2], [4, 1], [8, 1], [9, 1], [12, 1]], 5/7962624], [[[1, 5], [3, 2], [4, 2], [5, 1], [6, 1], [18, 1]], 1/3732480], [[[1, 5], [3, 2], [4, 2], [5, 1], [6, 2], [12, 1]], 1/2332800], [[[1, 5], [3, 2], [4, 2], [6, 1], [12, 1], [18, 1]], 841/5159780352], [[[1, 5], [3, 2], [5, 1], [6, 1], [12, 1], [18, 1]], 41/37324800], [[[1, 5], [3, 3], [4, 1], [5, 1], [6, 2], [8, 1]], 1/26542080], [[[1, 5], [3, 3], [4, 1], [5, 1], [8, 1], [12, 1]], 1/4423680], [[[1, 5], [3, 3], [4, 1], [6, 1], [8, 1], [18, 1]], 1/107495424], [[[1, 5], [3, 3], [4, 1], [6, 2], [8, 1], [12, 1]], 19/573308928], [[[1, 5], [4, 1], [6, 1], [7, 1], [8, 1], [18, 1]], 1/387072], [[[1, 5], [4, 1], [6, 1], [8, 1], [9, 1], [18, 1]], 1/1492992], [[[1, 5], [4, 1], [6, 2], [7, 1], [8, 1], [12, 1]], 1/2064384], [[[1, 5], [4, 1], [6, 2], [8, 1], [9, 1], [12, 1]], 1/7962624], [[[1, 5], [4, 2], [5, 1], [6, 1], [12, 1], [18, 1]], 1/9331200], [[[1, 6], [2, 1], [3, 1], [4, 1], [5, 1], [6, 5]], 7/53747712000], [[[1, 6], [2, 1], [3, 1], [4, 1], [5, 2], [6, 3]], 1/597196800], [[[1, 6], [2, 1], [3, 1], [4, 1], [5, 2], [7, 1]], 7/921600], [[[1, 6], [2, 1], [3, 1], [4, 1], [5, 2], [9, 1]], 2153/995328000], [[[1, 6], [2, 1], [3, 1], [4, 1], [5, 3], [6, 1]], 7/207360000], [[[1, 6], [2, 1], [3, 1], [4, 1], [6, 1], [7, 2]], 1/225792], [[[1, 6], [2, 1], [3, 1], [4, 1], [6, 1], [8, 3]], 1/7077888], [[[1, 6], [2, 1], [3, 1], [4, 1], [6, 1], [9, 2]], 1/2239488], [[[1, 6], [2, 1], [3, 1], [4, 1], [6, 1], [12, 3]], 1/47775744], [[[1, 6], [2, 1], [3, 1], [4, 1], [6, 3], [8, 2]], 19/191102976], [[[1, 6], [2, 1], [3, 1], [4, 1], [6, 3], [10, 2]], 1/597196800], [[[1, 6], [2, 1], [3, 1], [4, 1], [6, 3], [12, 2]], 7/286654464], [[[1, 6], [2, 1], [3, 1], [4, 1], [6, 3], [15, 1]], 1/29859840], [[[1, 6], [2, 1], [3, 1], [4, 1], [6, 3], [20, 1]], 1/19906560], [[[1, 6], [2, 1], [3, 1], [4, 1], [6, 3], [24, 1]], 1/23887872], [[[1, 6], [2, 1], [3, 1], [4, 1], [6, 3], [30, 1]], 1/29859840], [[[1, 6], [2, 1], [3, 1], [4, 1], [6, 4], [7, 1]], 1/1672151040], [[[1, 6], [2, 1], [3, 1], [4, 1], [6, 4], [9, 1]], 41/257989017600], [[[1, 6], [2, 1], [3, 1], [4, 1], [6, 4], [18, 1]], 1/53747712], [[[1, 6], [2, 1], [3, 1], [4, 1], [6, 5], [8, 1]], 11/5733089280], [[[1, 6], [2, 1], [3, 1], [4, 1], [6, 5], [12, 1]], 91/25798901760], [[[1, 6], [2, 1], [3, 1], [4, 1], [7, 1], [8, 2]], 1/294912], [[[1, 6], [2, 1], [3, 1], [4, 1], [7, 1], [10, 2]], 1/6451200], [[[1, 6], [2, 1], [3, 1], [4, 1], [7, 1], [12, 2]], 17/3096576], [[[1, 6], [2, 1], [3, 1], [4, 1], [7, 1], [15, 1]], 1/322560], [[[1, 6], [2, 1], [3, 1], [4, 1], [7, 1], [20, 1]], 1/215040], [[[1, 6], [2, 1], [3, 1], [4, 1], [7, 1], [24, 1]], 1/258048], [[[1, 6], [2, 1], [3, 1], [4, 1], [7, 1], [30, 1]], 1/322560], [[[1, 6], [2, 1], [3, 1], [4, 1], [8, 2], [9, 1]], 341/318504960], [[[1, 6], [2, 1], [3, 1], [4, 1], [9, 1], [10, 2]], 41/995328000], [[[1, 6], [2, 1], [3, 1], [4, 1], [9, 1], [12, 2]], 227/159252480], [[[1, 6], [2, 1], [3, 1], [4, 1], [9, 1], [15, 1]], 41/49766400], [[[1, 6], [2, 1], [3, 1], [4, 1], [9, 1], [20, 1]], 41/33177600], [[[1, 6], [2, 1], [3, 1], [4, 1], [9, 1], [24, 1]], 41/39813120], [[[1, 6], [2, 1], [3, 1], [4, 1], [9, 1], [30, 1]], 41/49766400], [[[1, 6], [2, 1], [3, 1], [4, 2], [5, 1], [6, 4]], 79/859963392000], [[[1, 6], [2, 1], [3, 1], [4, 2], [5, 1], [8, 2]], 6019/1061683200], [[[1, 6], [2, 1], [3, 1], [4, 2], [5, 1], [10, 2]], 79/3317760000], [[[1, 6], [2, 1], [3, 1], [4, 2], [5, 1], [12, 2]], 13/21233664], [[[1, 6], [2, 1], [3, 1], [4, 2], [5, 1], [15, 1]], 79/165888000], [[[1, 6], [2, 1], [3, 1], [4, 2], [5, 1], [20, 1]], 79/110592000], [[[1, 6], [2, 1], [3, 1], [4, 2], [5, 1], [24, 1]], 79/132710400], [[[1, 6], [2, 1], [3, 1], [4, 2], [5, 1], [30, 1]], 79/165888000], [[[1, 6], [2, 1], [3, 1], [4, 2], [5, 2], [6, 2]], 1/1194393600], [[[1, 6], [2, 1], [3, 1], [4, 2], [5, 2], [8, 1]], 1769/1061683200], [[[1, 6], [2, 1], [3, 1], [4, 2], [5, 2], [12, 1]], 7819/6718464000], [[[1, 6], [2, 1], [3, 1], [4, 2], [6, 2], [8, 2]], 163/382205952], [[[1, 6], [2, 1], [3, 1], [4, 2], [6, 2], [10, 2]], 1/1194393600], [[[1, 6], [2, 1], [3, 1], [4, 2], [6, 2], [12, 2]], 389/25798901760], [[[1, 6], [2, 1], [3, 1], [4, 2], [6, 2], [15, 1]], 1/59719680], [[[1, 6], [2, 1], [3, 1], [4, 2], [6, 2], [20, 1]], 1/39813120], [[[1, 6], [2, 1], [3, 1], [4, 2], [6, 2], [24, 1]], 1/47775744], [[[1, 6], [2, 1], [3, 1], [4, 2], [6, 2], [30, 1]], 1/59719680], [[[1, 6], [2, 1], [3, 1], [4, 2], [6, 3], [7, 1]], 1/83607552], [[[1, 6], [2, 1], [3, 1], [4, 2], [6, 3], [9, 1]], 17/5159780352], [[[1, 6], [2, 1], [3, 1], [4, 2], [6, 3], [18, 1]], 1/107495424], [[[1, 6], [2, 1], [3, 1], [4, 2], [6, 4], [8, 1]], 41/275188285440], [[[1, 6], [2, 1], [3, 1], [4, 2], [6, 4], [12, 1]], 6161/3482851737600], [[[1, 6], [2, 1], [3, 1], [4, 2], [7, 1], [9, 1]], 47/27869184], [[[1, 6], [2, 1], [3, 1], [4, 2], [7, 1], [14, 1]], 1/903168], [[[1, 6], [2, 1], [3, 1], [4, 2], [7, 1], [18, 1]], 1/1161216], [[[1, 6], [2, 1], [3, 1], [4, 2], [8, 1], [10, 2]], 41/1061683200], [[[1, 6], [2, 1], [3, 1], [4, 2], [8, 1], [12, 2]], 227/169869312], [[[1, 6], [2, 1], [3, 1], [4, 2], [8, 1], [15, 1]], 41/53084160], [[[1, 6], [2, 1], [3, 1], [4, 2], [8, 1], [16, 1]], 37/159252480], [[[1, 6], [2, 1], [3, 1], [4, 2], [8, 1], [20, 1]], 41/35389440], [[[1, 6], [2, 1], [3, 1], [4, 2], [8, 1], [24, 1]], 41/42467328], [[[1, 6], [2, 1], [3, 1], [4, 2], [8, 1], [30, 1]], 41/53084160], [[[1, 6], [2, 1], [3, 1], [4, 2], [8, 2], [12, 1]], 11243/4299816960], [[[1, 6], [2, 1], [3, 1], [4, 2], [9, 1], [14, 1]], 17/55738368], [[[1, 6], [2, 1], [3, 1], [4, 2], [9, 1], [18, 1]], 17/71663616], [[[1, 6], [2, 1], [3, 1], [4, 2], [10, 2], [12, 1]], 43/6718464000], [[[1, 6], [2, 1], [3, 1], [4, 2], [12, 1], [15, 1]], 43/335923200], [[[1, 6], [2, 1], [3, 1], [4, 2], [12, 1], [20, 1]], 77/111974400], [[[1, 6], [2, 1], [3, 1], [4, 2], [12, 1], [24, 1]], 197/537477120], [[[1, 6], [2, 1], [3, 1], [4, 2], [12, 1], [30, 1]], 43/335923200], [[[1, 6], [2, 1], [3, 1], [4, 3], [5, 1], [7, 1]], 1/860160], [[[1, 6], [2, 1], [3, 1], [4, 3], [5, 1], [9, 1]], 43/132710400], [[[1, 6], [2, 1], [3, 1], [4, 3], [5, 2], [6, 1]], 1/318504960], [[[1, 6], [2, 1], [3, 1], [4, 3], [6, 1], [8, 2]], 185/509607936], [[[1, 6], [2, 1], [3, 1], [4, 3], [6, 1], [10, 2]], 1/318504960], [[[1, 6], [2, 1], [3, 1], [4, 3], [6, 1], [12, 2]], 35/254803968], [[[1, 6], [2, 1], [3, 1], [4, 3], [6, 1], [15, 1]], 1/15925248], [[[1, 6], [2, 1], [3, 1], [4, 3], [6, 1], [16, 1]], 1/3538944], [[[1, 6], [2, 1], [3, 1], [4, 3], [6, 1], [20, 1]], 1/10616832], [[[1, 6], [2, 1], [3, 1], [4, 3], [6, 1], [24, 1]], 23/63700992], [[[1, 6], [2, 1], [3, 1], [4, 3], [6, 1], [30, 1]], 1/15925248], [[[1, 6], [2, 1], [3, 1], [4, 3], [6, 2], [7, 1]], 1/37158912], [[[1, 6], [2, 1], [3, 1], [4, 3], [6, 2], [9, 1]], 1/143327232], [[[1, 6], [2, 1], [3, 1], [4, 3], [6, 2], [18, 1]], 5/143327232], [[[1, 6], [2, 1], [3, 1], [4, 3], [6, 3], [8, 1]], 1/382205952], [[[1, 6], [2, 1], [3, 1], [4, 3], [6, 3], [12, 1]], 47/2293235712], [[[1, 6], [2, 1], [3, 1], [4, 3], [7, 1], [8, 1]], 1/344064], [[[1, 6], [2, 1], [3, 1], [4, 3], [7, 1], [10, 1]], 1/1290240], [[[1, 6], [2, 1], [3, 1], [4, 3], [7, 1], [12, 1]], 17/6193152], [[[1, 6], [2, 1], [3, 1], [4, 3], [8, 1], [9, 1]], 247/254803968], [[[1, 6], [2, 1], [3, 1], [4, 3], [8, 1], [14, 1]], 1/4128768], [[[1, 6], [2, 1], [3, 1], [4, 3], [8, 1], [18, 1]], 1/5308416], [[[1, 6], [2, 1], [3, 1], [4, 3], [9, 1], [10, 1]], 17/79626240], [[[1, 6], [2, 1], [3, 1], [4, 3], [9, 1], [12, 1]], 59/79626240], [[[1, 6], [2, 1], [3, 1], [4, 4], [5, 1], [6, 2]], 7/47775744000], [[[1, 6], [2, 1], [3, 1], [4, 4], [5, 1], [8, 1]], 2707/10616832000], [[[1, 6], [2, 1], [3, 1], [4, 4], [5, 1], [12, 1]], 529/2654208000], [[[1, 6], [2, 1], [3, 1], [4, 4], [6, 1], [7, 1]], 1/371589120], [[[1, 6], [2, 1], [3, 1], [4, 4], [6, 1], [9, 1]], 1/1433272320], [[[1, 6], [2, 1], [3, 1], [4, 4], [6, 1], [18, 1]], 17587/1547934105600], [[[1, 6], [2, 1], [3, 1], [4, 4], [6, 2], [8, 1]], 181/30576476160], [[[1, 6], [2, 1], [3, 1], [4, 4], [6, 2], [12, 1]], 75187/8255648563200], [[[1, 6], [2, 1], [3, 1], [4, 4], [8, 1], [10, 1]], 1/5898240], [[[1, 6], [2, 1], [3, 1], [4, 4], [8, 1], [12, 1]], 1087/1698693120], [[[1, 6], [2, 1], [3, 1], [4, 5], [5, 1], [6, 1]], 7/15925248000], [[[1, 6], [2, 1], [3, 1], [4, 5], [6, 1], [8, 1]], 41/1698693120], [[[1, 6], [2, 1], [3, 1], [4, 5], [6, 1], [12, 1]], 307/2548039680], [[[1, 6], [2, 1], [3, 1], [5, 1], [6, 2], [8, 2]], 7/199065600], [[[1, 6], [2, 1], [3, 1], [5, 1], [6, 2], [10, 2]], 7/622080000], [[[1, 6], [2, 1], [3, 1], [5, 1], [6, 2], [12, 2]], 49/298598400], [[[1, 6], [2, 1], [3, 1], [5, 1], [6, 2], [15, 1]], 7/31104000], [[[1, 6], [2, 1], [3, 1], [5, 1], [6, 2], [20, 1]], 7/20736000], [[[1, 6], [2, 1], [3, 1], [5, 1], [6, 2], [24, 1]], 7/24883200], [[[1, 6], [2, 1], [3, 1], [5, 1], [6, 2], [30, 1]], 7/31104000], [[[1, 6], [2, 1], [3, 1], [5, 1], [6, 3], [7, 1]], 1/8709120], [[[1, 6], [2, 1], [3, 1], [5, 1], [6, 3], [9, 1]], 11/335923200], [[[1, 6], [2, 1], [3, 1], [5, 1], [6, 3], [18, 1]], 7/55987200], [[[1, 6], [2, 1], [3, 1], [5, 1], [6, 4], [8, 1]], 7/35831808000], [[[1, 6], [2, 1], [3, 1], [5, 1], [6, 4], [12, 1]], 637/26873856000], [[[1, 6], [2, 1], [3, 1], [5, 1], [7, 1], [9, 1]], 1/50400], [[[1, 6], [2, 1], [3, 1], [5, 1], [7, 1], [14, 1]], 1/94080], [[[1, 6], [2, 1], [3, 1], [5, 1], [7, 1], [18, 1]], 1/120960], [[[1, 6], [2, 1], [3, 1], [5, 1], [8, 1], [10, 2]], 7/138240000], [[[1, 6], [2, 1], [3, 1], [5, 1], [8, 1], [12, 2]], 7/66355200], [[[1, 6], [2, 1], [3, 1], [5, 1], [8, 1], [15, 1]], 7/6912000], [[[1, 6], [2, 1], [3, 1], [5, 1], [8, 1], [20, 1]], 7/4608000], [[[1, 6], [2, 1], [3, 1], [5, 1], [8, 1], [24, 1]], 7/5529600], [[[1, 6], [2, 1], [3, 1], [5, 1], [8, 1], [30, 1]], 7/6912000], [[[1, 6], [2, 1], [3, 1], [5, 1], [8, 2], [12, 1]], 7/33177600], [[[1, 6], [2, 1], [3, 1], [5, 1], [9, 1], [14, 1]], 11/3628800], [[[1, 6], [2, 1], [3, 1], [5, 1], [9, 1], [18, 1]], 11/4665600], [[[1, 6], [2, 1], [3, 1], [5, 1], [10, 2], [12, 1]], 7/103680000], [[[1, 6], [2, 1], [3, 1], [5, 1], [12, 1], [15, 1]], 7/5184000], [[[1, 6], [2, 1], [3, 1], [5, 1], [12, 1], [20, 1]], 7/3456000], [[[1, 6], [2, 1], [3, 1], [5, 1], [12, 1], [24, 1]], 7/4147200], [[[1, 6], [2, 1], [3, 1], [5, 1], [12, 1], [30, 1]], 7/5184000], [[[1, 6], [2, 1], [3, 1], [5, 2], [6, 1], [7, 1]], 1/4838400], [[[1, 6], [2, 1], [3, 1], [5, 2], [6, 1], [9, 1]], 1/18662400], [[[1, 6], [2, 1], [3, 1], [5, 2], [6, 1], [18, 1]], 31141/20155392000], [[[1, 6], [2, 1], [3, 1], [5, 2], [6, 2], [8, 1]], 1/398131200], [[[1, 6], [2, 1], [3, 1], [5, 2], [6, 2], [12, 1]], 31141/107495424000], [[[1, 6], [2, 1], [3, 1], [5, 2], [8, 1], [12, 1]], 1/66355200], [[[1, 6], [2, 1], [3, 1], [6, 1], [7, 1], [8, 2]], 1/1548288], [[[1, 6], [2, 1], [3, 1], [6, 1], [7, 1], [10, 2]], 1/4838400], [[[1, 6], [2, 1], [3, 1], [6, 1], [7, 1], [12, 2]], 1/331776], [[[1, 6], [2, 1], [3, 1], [6, 1], [7, 1], [15, 1]], 1/241920], [[[1, 6], [2, 1], [3, 1], [6, 1], [7, 1], [20, 1]], 1/161280], [[[1, 6], [2, 1], [3, 1], [6, 1], [7, 1], [24, 1]], 1/193536], [[[1, 6], [2, 1], [3, 1], [6, 1], [7, 1], [30, 1]], 1/241920], [[[1, 6], [2, 1], [3, 1], [6, 1], [8, 2], [9, 1]], 1/5971968], [[[1, 6], [2, 1], [3, 1], [6, 1], [8, 2], [18, 1]], 37/6449725440], [[[1, 6], [2, 1], [3, 1], [6, 1], [9, 1], [10, 2]], 1/18662400], [[[1, 6], [2, 1], [3, 1], [6, 1], [9, 1], [12, 2]], 7/8957952], [[[1, 6], [2, 1], [3, 1], [6, 1], [9, 1], [15, 1]], 1/933120], [[[1, 6], [2, 1], [3, 1], [6, 1], [9, 1], [20, 1]], 1/622080], [[[1, 6], [2, 1], [3, 1], [6, 1], [9, 1], [24, 1]], 1/746496], [[[1, 6], [2, 1], [3, 1], [6, 1], [9, 1], [30, 1]], 1/933120], [[[1, 6], [2, 1], [3, 1], [6, 1], [10, 2], [18, 1]], 37/20155392000], [[[1, 6], [2, 1], [3, 1], [6, 1], [12, 2], [18, 1]], 37/9674588160], [[[1, 6], [2, 1], [3, 1], [6, 1], [15, 1], [18, 1]], 37/1007769600], [[[1, 6], [2, 1], [3, 1], [6, 1], [18, 1], [20, 1]], 37/671846400], [[[1, 6], [2, 1], [3, 1], [6, 1], [18, 1], [24, 1]], 37/806215680], [[[1, 6], [2, 1], [3, 1], [6, 1], [18, 1], [30, 1]], 37/1007769600], [[[1, 6], [2, 1], [3, 1], [6, 2], [7, 1], [9, 1]], 1/653184], [[[1, 6], [2, 1], [3, 1], [6, 2], [7, 1], [14, 1]], 1/1354752], [[[1, 6], [2, 1], [3, 1], [6, 2], [7, 1], [18, 1]], 5/1741824], [[[1, 6], [2, 1], [3, 1], [6, 2], [8, 1], [10, 2]], 1/398131200], [[[1, 6], [2, 1], [3, 1], [6, 2], [8, 1], [12, 2]], 7/191102976], [[[1, 6], [2, 1], [3, 1], [6, 2], [8, 1], [15, 1]], 1/19906560], [[[1, 6], [2, 1], [3, 1], [6, 2], [8, 1], [20, 1]], 1/13271040], [[[1, 6], [2, 1], [3, 1], [6, 2], [8, 1], [24, 1]], 1/15925248], [[[1, 6], [2, 1], [3, 1], [6, 2], [8, 1], [30, 1]], 1/19906560], [[[1, 6], [2, 1], [3, 1], [6, 2], [8, 2], [12, 1]], 37/34398535680], [[[1, 6], [2, 1], [3, 1], [6, 2], [9, 1], [14, 1]], 1/5225472], [[[1, 6], [2, 1], [3, 1], [6, 2], [9, 1], [18, 1]], 5/6718464], [[[1, 6], [2, 1], [3, 1], [6, 2], [10, 2], [12, 1]], 37/107495424000], [[[1, 6], [2, 1], [3, 1], [6, 2], [12, 1], [15, 1]], 37/5374771200], [[[1, 6], [2, 1], [3, 1], [6, 2], [12, 1], [20, 1]], 37/3583180800], [[[1, 6], [2, 1], [3, 1], [6, 2], [12, 1], [24, 1]], 37/4299816960], [[[1, 6], [2, 1], [3, 1], [6, 2], [12, 1], [30, 1]], 37/5374771200], [[[1, 6], [2, 1], [3, 1], [6, 3], [7, 1], [8, 1]], 1/2322432], [[[1, 6], [2, 1], [3, 1], [6, 3], [7, 1], [10, 1]], 1/2903040], [[[1, 6], [2, 1], [3, 1], [6, 3], [7, 1], [12, 1]], 19/20901888], [[[1, 6], [2, 1], [3, 1], [6, 3], [8, 1], [9, 1]], 1/8957952], [[[1, 6], [2, 1], [3, 1], [6, 3], [8, 1], [18, 1]], 1/35831808], [[[1, 6], [2, 1], [3, 1], [6, 3], [9, 1], [10, 1]], 1/11197440], [[[1, 6], [2, 1], [3, 1], [6, 3], [9, 1], [12, 1]], 19/80621568], [[[1, 6], [2, 1], [3, 1], [6, 3], [12, 1], [18, 1]], 37/9674588160], [[[1, 6], [2, 1], [3, 1], [6, 4], [8, 1], [12, 1]], 91/17199267840], [[[1, 6], [2, 1], [3, 1], [7, 1], [8, 1], [9, 1]], 5/1161216], [[[1, 6], [2, 1], [3, 1], [7, 1], [9, 1], [12, 1]], 1/108864], [[[1, 6], [2, 1], [3, 1], [7, 1], [12, 1], [14, 1]], 1/225792], [[[1, 6], [2, 1], [3, 1], [7, 1], [12, 1], [18, 1]], 1/290304], [[[1, 6], [2, 1], [3, 1], [8, 1], [10, 2], [12, 1]], 1/66355200], [[[1, 6], [2, 1], [3, 1], [8, 1], [12, 1], [15, 1]], 1/3317760], [[[1, 6], [2, 1], [3, 1], [8, 1], [12, 1], [20, 1]], 1/2211840], [[[1, 6], [2, 1], [3, 1], [8, 1], [12, 1], [24, 1]], 1/2654208], [[[1, 6], [2, 1], [3, 1], [8, 1], [12, 1], [30, 1]], 1/3317760], [[[1, 6], [2, 1], [3, 1], [9, 1], [12, 1], [14, 1]], 1/870912], [[[1, 6], [2, 1], [3, 1], [9, 1], [12, 1], [18, 1]], 1/1119744], [[[1, 6], [2, 1], [3, 2], [4, 1], [5, 1], [6, 4]], 7/806215680], [[[1, 6], [2, 1], [3, 2], [4, 1], [5, 1], [8, 2]], 1/622080], [[[1, 6], [2, 1], [3, 2], [4, 1], [5, 1], [10, 2]], 1/12441600], [[[1, 6], [2, 1], [3, 2], [4, 1], [5, 1], [12, 2]], 439/149299200], [[[1, 6], [2, 1], [3, 2], [4, 1], [5, 1], [15, 1]], 1/622080], [[[1, 6], [2, 1], [3, 2], [4, 1], [5, 1], [20, 1]], 1/414720], [[[1, 6], [2, 1], [3, 2], [4, 1], [5, 1], [24, 1]], 1/497664], [[[1, 6], [2, 1], [3, 2], [4, 1], [5, 1], [30, 1]], 1/622080], [[[1, 6], [2, 1], [3, 2], [4, 1], [5, 2], [6, 2]], 8033/31850496000], [[[1, 6], [2, 1], [3, 2], [4, 1], [5, 2], [8, 1]], 113/15925248], [[[1, 6], [2, 1], [3, 2], [4, 1], [5, 2], [10, 1]], 217/124416000], [[[1, 6], [2, 1], [3, 2], [4, 1], [5, 2], [12, 1]], 211177/47775744000], [[[1, 6], [2, 1], [3, 2], [4, 1], [6, 2], [8, 2]], 1181/10192158720], [[[1, 6], [2, 1], [3, 2], [4, 1], [6, 2], [10, 2]], 161/31850496000], [[[1, 6], [2, 1], [3, 2], [4, 1], [6, 2], [12, 2]], 12773/45864714240], [[[1, 6], [2, 1], [3, 2], [4, 1], [6, 2], [15, 1]], 161/1592524800], [[[1, 6], [2, 1], [3, 2], [4, 1], [6, 2], [20, 1]], 161/1061683200], [[[1, 6], [2, 1], [3, 2], [4, 1], [6, 2], [24, 1]], 233/1274019840], [[[1, 6], [2, 1], [3, 2], [4, 1], [6, 2], [30, 1]], 161/1592524800], [[[1, 6], [2, 1], [3, 2], [4, 1], [6, 3], [7, 1]], 17/55738368], [[[1, 6], [2, 1], [3, 2], [4, 1], [6, 3], [9, 1]], 7/71663616], [[[1, 6], [2, 1], [3, 2], [4, 1], [6, 3], [18, 1]], 161/2866544640], [[[1, 6], [2, 1], [3, 2], [4, 1], [6, 4], [8, 1]], 4607/103195607040], [[[1, 6], [2, 1], [3, 2], [4, 1], [6, 4], [10, 1]], 271/32248627200], [[[1, 6], [2, 1], [3, 2], [4, 1], [6, 4], [12, 1]], 305299/12383472844800], [[[1, 6], [2, 1], [3, 2], [4, 1], [7, 1], [9, 1]], 1/580608], [[[1, 6], [2, 1], [3, 2], [4, 1], [7, 1], [14, 1]], 1/290304], [[[1, 6], [2, 1], [3, 2], [4, 1], [8, 1], [10, 2]], 17/398131200], [[[1, 6], [2, 1], [3, 2], [4, 1], [8, 1], [12, 2]], 323/191102976], [[[1, 6], [2, 1], [3, 2], [4, 1], [8, 1], [15, 1]], 17/19906560], [[[1, 6], [2, 1], [3, 2], [4, 1], [8, 1], [16, 1]], 5/663552], [[[1, 6], [2, 1], [3, 2], [4, 1], [8, 1], [20, 1]], 49/13271040], [[[1, 6], [2, 1], [3, 2], [4, 1], [8, 1], [24, 1]], 1/196608], [[[1, 6], [2, 1], [3, 2], [4, 1], [8, 1], [30, 1]], 17/19906560], [[[1, 6], [2, 1], [3, 2], [4, 1], [8, 2], [10, 1]], 1/39813120], [[[1, 6], [2, 1], [3, 2], [4, 1], [8, 2], [12, 1]], 11269/15288238080], [[[1, 6], [2, 1], [3, 2], [4, 1], [9, 1], [18, 1]], 1/373248], [[[1, 6], [2, 1], [3, 2], [4, 1], [10, 1], [12, 2]], 19/59719680], [[[1, 6], [2, 1], [3, 2], [4, 1], [10, 1], [15, 1]], 1/6220800], [[[1, 6], [2, 1], [3, 2], [4, 1], [10, 1], [20, 1]], 1/4147200], [[[1, 6], [2, 1], [3, 2], [4, 1], [10, 1], [24, 1]], 1/4976640], [[[1, 6], [2, 1], [3, 2], [4, 1], [10, 1], [30, 1]], 1/6220800], [[[1, 6], [2, 1], [3, 2], [4, 1], [10, 2], [12, 1]], 2089/47775744000], [[[1, 6], [2, 1], [3, 2], [4, 1], [12, 1], [15, 1]], 2089/2388787200], [[[1, 6], [2, 1], [3, 2], [4, 1], [12, 1], [16, 1]], 1/497664], [[[1, 6], [2, 1], [3, 2], [4, 1], [12, 1], [20, 1]], 4649/1592524800], [[[1, 6], [2, 1], [3, 2], [4, 1], [12, 1], [24, 1]], 5929/1911029760], [[[1, 6], [2, 1], [3, 2], [4, 1], [12, 1], [30, 1]], 2089/2388787200], [[[1, 6], [2, 1], [3, 2], [4, 2], [5, 1], [6, 3]], 1/179159040], [[[1, 6], [2, 1], [3, 2], [4, 2], [5, 1], [7, 1]], 1/645120], [[[1, 6], [2, 1], [3, 2], [4, 2], [5, 1], [9, 1]], 31/33177600], [[[1, 6], [2, 1], [3, 2], [4, 2], [5, 1], [14, 1]], 1/1935360], [[[1, 6], [2, 1], [3, 2], [4, 2], [5, 1], [18, 1]], 1/2488320], [[[1, 6], [2, 1], [3, 2], [4, 2], [5, 2], [6, 1]], 13/1274019840], [[[1, 6], [2, 1], [3, 2], [4, 2], [6, 1], [8, 2]], 173/2038431744], [[[1, 6], [2, 1], [3, 2], [4, 2], [6, 1], [10, 2]], 13/1274019840], [[[1, 6], [2, 1], [3, 2], [4, 2], [6, 1], [12, 2]], 4949/9172942848], [[[1, 6], [2, 1], [3, 2], [4, 2], [6, 1], [15, 1]], 13/63700992], [[[1, 6], [2, 1], [3, 2], [4, 2], [6, 1], [20, 1]], 13/42467328], [[[1, 6], [2, 1], [3, 2], [4, 2], [6, 1], [24, 1]], 65/254803968], [[[1, 6], [2, 1], [3, 2], [4, 2], [6, 1], [30, 1]], 13/63700992], [[[1, 6], [2, 1], [3, 2], [4, 2], [6, 2], [7, 1]], 167/891813888], [[[1, 6], [2, 1], [3, 2], [4, 2], [6, 2], [9, 1]], 11/143327232], [[[1, 6], [2, 1], [3, 2], [4, 2], [6, 2], [14, 1]], 65/1783627776], [[[1, 6], [2, 1], [3, 2], [4, 2], [6, 2], [18, 1]], 325/2293235712], [[[1, 6], [2, 1], [3, 2], [4, 2], [6, 3], [8, 1]], 269/3057647616], [[[1, 6], [2, 1], [3, 2], [4, 2], [6, 3], [10, 1]], 13/764411904], [[[1, 6], [2, 1], [3, 2], [4, 2], [6, 3], [12, 1]], 25195/247669456896], [[[1, 6], [2, 1], [3, 2], [4, 2], [7, 1], [8, 1]], 1/1548288], [[[1, 6], [2, 1], [3, 2], [4, 2], [7, 1], [12, 1]], 361/191102976], [[[1, 6], [2, 1], [3, 2], [4, 2], [8, 1], [9, 1]], 19/31850496], [[[1, 6], [2, 1], [3, 2], [4, 2], [9, 1], [12, 1]], 7003/9674588160], [[[1, 6], [2, 1], [3, 2], [4, 2], [12, 1], [14, 1]], 841/2675441664], [[[1, 6], [2, 1], [3, 2], [4, 2], [12, 1], [18, 1]], 841/3439853568], [[[1, 6], [2, 1], [3, 2], [4, 3], [5, 1], [6, 2]], 163/4246732800], [[[1, 6], [2, 1], [3, 2], [4, 3], [5, 1], [8, 1]], 1/737280], [[[1, 6], [2, 1], [3, 2], [4, 3], [5, 1], [10, 1]], 1/2764800], [[[1, 6], [2, 1], [3, 2], [4, 3], [5, 1], [12, 1]], 28721/19110297600], [[[1, 6], [2, 1], [3, 2], [4, 3], [6, 1], [7, 1]], 1/2322432], [[[1, 6], [2, 1], [3, 2], [4, 3], [6, 1], [9, 1]], 7/47775744], [[[1, 6], [2, 1], [3, 2], [4, 3], [6, 1], [18, 1]], 19/214990848], [[[1, 6], [2, 1], [3, 2], [4, 3], [6, 2], [8, 1]], 919/8153726976], [[[1, 6], [2, 1], [3, 2], [4, 3], [6, 2], [10, 1]], 13/509607936], [[[1, 6], [2, 1], [3, 2], [4, 3], [6, 2], [12, 1]], 3953/22932357120], [[[1, 6], [2, 1], [3, 2], [4, 3], [8, 1], [12, 1]], 18767/12230590464], [[[1, 6], [2, 1], [3, 2], [4, 3], [10, 1], [12, 1]], 841/3822059520], [[[1, 6], [2, 1], [3, 2], [4, 4], [5, 1], [6, 1]], 41/31850496000], [[[1, 6], [2, 1], [3, 2], [4, 4], [6, 1], [8, 1]], 1261/11466178560], [[[1, 6], [2, 1], [3, 2], [4, 4], [6, 1], [10, 1]], 181/14332723200], [[[1, 6], [2, 1], [3, 2], [4, 4], [6, 1], [12, 1]], 581/5733089280], [[[1, 6], [2, 1], [3, 2], [5, 1], [6, 1], [8, 2]], 41/132710400], [[[1, 6], [2, 1], [3, 2], [5, 1], [6, 1], [10, 2]], 41/414720000], [[[1, 6], [2, 1], [3, 2], [5, 1], [6, 1], [12, 2]], 287/199065600], [[[1, 6], [2, 1], [3, 2], [5, 1], [6, 1], [15, 1]], 41/20736000], [[[1, 6], [2, 1], [3, 2], [5, 1], [6, 1], [20, 1]], 41/13824000], [[[1, 6], [2, 1], [3, 2], [5, 1], [6, 1], [24, 1]], 41/16588800], [[[1, 6], [2, 1], [3, 2], [5, 1], [6, 1], [30, 1]], 41/20736000], [[[1, 6], [2, 1], [3, 2], [5, 1], [6, 2], [7, 1]], 1/460800], [[[1, 6], [2, 1], [3, 2], [5, 1], [6, 2], [9, 1]], 13/14929920], [[[1, 6], [2, 1], [3, 2], [5, 1], [6, 2], [14, 1]], 41/116121600], [[[1, 6], [2, 1], [3, 2], [5, 1], [6, 2], [18, 1]], 41/29859840], [[[1, 6], [2, 1], [3, 2], [5, 1], [6, 3], [8, 1]], 41/199065600], [[[1, 6], [2, 1], [3, 2], [5, 1], [6, 3], [10, 1]], 41/248832000], [[[1, 6], [2, 1], [3, 2], [5, 1], [6, 3], [12, 1]], 779/1791590400], [[[1, 6], [2, 1], [3, 2], [5, 1], [7, 1], [8, 1]], 1/161280], [[[1, 6], [2, 1], [3, 2], [5, 1], [7, 1], [12, 1]], 1/76800], [[[1, 6], [2, 1], [3, 2], [5, 1], [8, 1], [9, 1]], 1/460800], [[[1, 6], [2, 1], [3, 2], [5, 1], [9, 1], [12, 1]], 13/2488320], [[[1, 6], [2, 1], [3, 2], [5, 1], [12, 1], [14, 1]], 41/19353600], [[[1, 6], [2, 1], [3, 2], [5, 1], [12, 1], [18, 1]], 41/24883200], [[[1, 6], [2, 1], [3, 2], [5, 2], [6, 1], [8, 1]], 217/149299200], [[[1, 6], [2, 1], [3, 2], [5, 2], [6, 1], [10, 1]], 217/186624000], [[[1, 6], [2, 1], [3, 2], [5, 2], [6, 1], [12, 1]], 223/149299200], [[[1, 6], [2, 1], [3, 2], [6, 1], [7, 1], [9, 1]], 5/1741824], [[[1, 6], [2, 1], [3, 2], [6, 1], [7, 1], [18, 1]], 1/979776], [[[1, 6], [2, 1], [3, 2], [6, 1], [8, 1], [10, 2]], 1/149299200], [[[1, 6], [2, 1], [3, 2], [6, 1], [8, 1], [12, 2]], 19/71663616], [[[1, 6], [2, 1], [3, 2], [6, 1], [8, 1], [15, 1]], 1/7464960], [[[1, 6], [2, 1], [3, 2], [6, 1], [8, 1], [20, 1]], 1/4976640], [[[1, 6], [2, 1], [3, 2], [6, 1], [8, 1], [24, 1]], 1/5971968], [[[1, 6], [2, 1], [3, 2], [6, 1], [8, 1], [30, 1]], 1/7464960], [[[1, 6], [2, 1], [3, 2], [6, 1], [8, 2], [10, 1]], 1/59719680], [[[1, 6], [2, 1], [3, 2], [6, 1], [8, 2], [12, 1]], 7/47775744], [[[1, 6], [2, 1], [3, 2], [6, 1], [9, 1], [18, 1]], 409/453496320], [[[1, 6], [2, 1], [3, 2], [6, 1], [10, 1], [12, 2]], 19/89579520], [[[1, 6], [2, 1], [3, 2], [6, 1], [10, 1], [15, 1]], 1/9331200], [[[1, 6], [2, 1], [3, 2], [6, 1], [10, 1], [20, 1]], 1/6220800], [[[1, 6], [2, 1], [3, 2], [6, 1], [10, 1], [24, 1]], 1/7464960], [[[1, 6], [2, 1], [3, 2], [6, 1], [10, 1], [30, 1]], 1/9331200], [[[1, 6], [2, 1], [3, 2], [6, 1], [10, 2], [12, 1]], 7/149299200], [[[1, 6], [2, 1], [3, 2], [6, 1], [12, 1], [15, 1]], 7/7464960], [[[1, 6], [2, 1], [3, 2], [6, 1], [12, 1], [20, 1]], 7/4976640], [[[1, 6], [2, 1], [3, 2], [6, 1], [12, 1], [24, 1]], 7/5971968], [[[1, 6], [2, 1], [3, 2], [6, 1], [12, 1], [30, 1]], 7/7464960], [[[1, 6], [2, 1], [3, 2], [6, 1], [14, 1], [18, 1]], 1/7838208], [[[1, 6], [2, 1], [3, 2], [6, 2], [7, 1], [8, 1]], 17/37158912], [[[1, 6], [2, 1], [3, 2], [6, 2], [7, 1], [12, 1]], 1/746496], [[[1, 6], [2, 1], [3, 2], [6, 2], [8, 1], [9, 1]], 7/47775744], [[[1, 6], [2, 1], [3, 2], [6, 2], [8, 1], [18, 1]], 1/13436928], [[[1, 6], [2, 1], [3, 2], [6, 2], [9, 1], [12, 1]], 4237/9674588160], [[[1, 6], [2, 1], [3, 2], [6, 2], [10, 1], [18, 1]], 1/16796160], [[[1, 6], [2, 1], [3, 2], [6, 2], [12, 1], [14, 1]], 1/5971968], [[[1, 6], [2, 1], [3, 2], [6, 2], [12, 1], [18, 1]], 35/53747712], [[[1, 6], [2, 1], [3, 2], [6, 3], [8, 1], [12, 1]], 7/71663616], [[[1, 6], [2, 1], [3, 2], [6, 3], [10, 1], [12, 1]], 7/89579520], [[[1, 6], [2, 1], [3, 2], [7, 1], [8, 1], [12, 1]], 17/6193152], [[[1, 6], [2, 1], [3, 2], [8, 1], [9, 1], [12, 1]], 7/7962624], [[[1, 6], [2, 1], [3, 3], [4, 1], [5, 1], [6, 3]], 1/4423680], [[[1, 6], [2, 1], [3, 3], [4, 1], [5, 1], [7, 1]], 1/17418240], [[[1, 6], [2, 1], [3, 3], [4, 1], [5, 1], [9, 1]], 61/67184640], [[[1, 6], [2, 1], [3, 3], [4, 1], [5, 2], [6, 1]], 5209/5374771200], [[[1, 6], [2, 1], [3, 3], [4, 1], [6, 1], [8, 2]], 43/1719926784], [[[1, 6], [2, 1], [3, 3], [4, 1], [6, 1], [10, 2]], 1/214990848], [[[1, 6], [2, 1], [3, 3], [4, 1], [6, 1], [12, 2]], 1375/2579890176], [[[1, 6], [2, 1], [3, 3], [4, 1], [6, 1], [15, 1]], 5/53747712], [[[1, 6], [2, 1], [3, 3], [4, 1], [6, 1], [16, 1]], 1/497664], [[[1, 6], [2, 1], [3, 3], [4, 1], [6, 1], [20, 1]], 5/35831808], [[[1, 6], [2, 1], [3, 3], [4, 1], [6, 1], [24, 1]], 457/214990848], [[[1, 6], [2, 1], [3, 3], [4, 1], [6, 1], [30, 1]], 5/53747712], [[[1, 6], [2, 1], [3, 3], [4, 1], [6, 2], [7, 1]], 1/18579456], [[[1, 6], [2, 1], [3, 3], [4, 1], [6, 2], [9, 1]], 67/955514880], [[[1, 6], [2, 1], [3, 3], [4, 1], [6, 2], [18, 1]], 25/483729408], [[[1, 6], [2, 1], [3, 3], [4, 1], [6, 3], [8, 1]], 163/5159780352], [[[1, 6], [2, 1], [3, 3], [4, 1], [6, 3], [12, 1]], 187/2579890176], [[[1, 6], [2, 1], [3, 3], [4, 1], [7, 1], [8, 1]], 5/18579456], [[[1, 6], [2, 1], [3, 3], [4, 1], [7, 1], [10, 1]], 1/17418240], [[[1, 6], [2, 1], [3, 3], [4, 1], [7, 1], [12, 1]], 5/11943936], [[[1, 6], [2, 1], [3, 3], [4, 1], [8, 1], [9, 1]], 119/214990848], [[[1, 6], [2, 1], [3, 3], [4, 1], [8, 1], [14, 1]], 1/55738368], [[[1, 6], [2, 1], [3, 3], [4, 1], [8, 1], [18, 1]], 1/71663616], [[[1, 6], [2, 1], [3, 3], [4, 1], [9, 1], [10, 1]], 7/67184640], [[[1, 6], [2, 1], [3, 3], [4, 1], [9, 1], [12, 1]], 7667/12899450880], [[[1, 6], [2, 1], [3, 3], [4, 2], [5, 1], [6, 2]], 293/3185049600], [[[1, 6], [2, 1], [3, 3], [4, 2], [5, 1], [8, 1]], 5/15925248], [[[1, 6], [2, 1], [3, 3], [4, 2], [5, 1], [12, 1]], 39541/42998169600], [[[1, 6], [2, 1], [3, 3], [4, 2], [6, 1], [7, 1]], 1/9289728], [[[1, 6], [2, 1], [3, 3], [4, 2], [6, 1], [9, 1]], 1/7077888], [[[1, 6], [2, 1], [3, 3], [4, 2], [6, 1], [18, 1]], 43/967458816], [[[1, 6], [2, 1], [3, 3], [4, 2], [6, 2], [8, 1]], 35/1019215872], [[[1, 6], [2, 1], [3, 3], [4, 2], [6, 2], [12, 1]], 2449/19349176320], [[[1, 6], [2, 1], [3, 3], [4, 2], [8, 1], [10, 1]], 1/79626240], [[[1, 6], [2, 1], [3, 3], [4, 2], [8, 1], [12, 1]], 3923/13759414272], [[[1, 6], [2, 1], [3, 3], [4, 3], [5, 1], [6, 1]], 1/4976640], [[[1, 6], [2, 1], [3, 3], [4, 3], [6, 1], [8, 1]], 73/382205952], [[[1, 6], [2, 1], [3, 3], [4, 3], [6, 1], [12, 1]], 16487/20639121408], [[[1, 6], [2, 1], [3, 3], [5, 1], [6, 1], [7, 1]], 1/967680], [[[1, 6], [2, 1], [3, 3], [5, 1], [6, 1], [9, 1]], 17/12441600], [[[1, 6], [2, 1], [3, 3], [5, 1], [6, 1], [18, 1]], 247/503884800], [[[1, 6], [2, 1], [3, 3], [5, 1], [6, 2], [8, 1]], 29/132710400], [[[1, 6], [2, 1], [3, 3], [5, 1], [6, 2], [12, 1]], 1813/2687385600], [[[1, 6], [2, 1], [3, 3], [5, 1], [8, 1], [12, 1]], 29/22118400], [[[1, 6], [2, 1], [3, 3], [6, 1], [7, 1], [8, 1]], 1/20901888], [[[1, 6], [2, 1], [3, 3], [6, 1], [7, 1], [10, 1]], 1/26127360], [[[1, 6], [2, 1], [3, 3], [6, 1], [7, 1], [12, 1]], 19/20901888], [[[1, 6], [2, 1], [3, 3], [6, 1], [8, 1], [9, 1]], 7/80621568], [[[1, 6], [2, 1], [3, 3], [6, 1], [8, 1], [18, 1]], 25/322486272], [[[1, 6], [2, 1], [3, 3], [6, 1], [9, 1], [10, 1]], 7/100776960], [[[1, 6], [2, 1], [3, 3], [6, 1], [9, 1], [12, 1]], 61/80621568], [[[1, 6], [2, 1], [3, 3], [6, 1], [12, 1], [18, 1]], 2437/9674588160], [[[1, 6], [2, 1], [3, 3], [6, 2], [8, 1], [12, 1]], 187/1719926784], [[[1, 6], [2, 1], [3, 4], [4, 1], [5, 1], [6, 2]], 1/33592320], [[[1, 6], [2, 1], [3, 4], [4, 1], [5, 1], [8, 1]], 223/1769472000], [[[1, 6], [2, 1], [3, 4], [4, 1], [5, 1], [10, 1]], 401/14929920000], [[[1, 6], [2, 1], [3, 4], [4, 1], [5, 1], [12, 1]], 667/2985984000], [[[1, 6], [2, 1], [3, 4], [4, 1], [6, 1], [7, 1]], 23/716636160], [[[1, 6], [2, 1], [3, 4], [4, 1], [6, 1], [9, 1]], 43/716636160], [[[1, 6], [2, 1], [3, 4], [4, 1], [6, 1], [18, 1]], 1601/257989017600], [[[1, 6], [2, 1], [3, 4], [4, 1], [6, 2], [8, 1]], 85/3439853568], [[[1, 6], [2, 1], [3, 4], [4, 1], [6, 2], [10, 1]], 1/214990848], [[[1, 6], [2, 1], [3, 4], [4, 1], [6, 2], [12, 1]], 1505873/4127824281600], [[[1, 6], [2, 1], [3, 4], [4, 1], [8, 1], [12, 1]], 85/573308928], [[[1, 6], [2, 1], [3, 4], [4, 1], [10, 1], [12, 1]], 1/35831808], [[[1, 6], [2, 1], [3, 4], [4, 2], [5, 1], [6, 1]], 1/19906560], [[[1, 6], [2, 1], [3, 4], [4, 2], [6, 1], [8, 1]], 2573/275188285440], [[[1, 6], [2, 1], [3, 4], [4, 2], [6, 1], [10, 1]], 641/343985356800], [[[1, 6], [2, 1], [3, 4], [4, 2], [6, 1], [12, 1]], 49553/825564856320], [[[1, 6], [2, 1], [3, 4], [5, 1], [6, 1], [8, 1]], 401/17915904000], [[[1, 6], [2, 1], [3, 4], [5, 1], [6, 1], [10, 1]], 401/22394880000], [[[1, 6], [2, 1], [3, 4], [5, 1], [6, 1], [12, 1]], 7691/17915904000], [[[1, 6], [2, 1], [3, 4], [6, 1], [8, 1], [12, 1]], 5/214990848], [[[1, 6], [2, 1], [3, 4], [6, 1], [10, 1], [12, 1]], 1/53747712], [[[1, 6], [2, 1], [3, 5], [4, 1], [5, 1], [6, 1]], 269/17915904000], [[[1, 6], [2, 1], [3, 5], [4, 1], [6, 1], [8, 1]], 11/5733089280], [[[1, 6], [2, 1], [3, 5], [4, 1], [6, 1], [12, 1]], 93449/8599633920], [[[1, 6], [2, 1], [4, 1], [5, 1], [6, 2], [12, 2]], 1/16588800], [[[1, 6], [2, 1], [4, 1], [5, 1], [6, 4], [8, 1]], 7/15925248000], [[[1, 6], [2, 1], [4, 1], [5, 1], [6, 4], [10, 1]], 1/14929920000], [[[1, 6], [2, 1], [4, 1], [5, 1], [6, 4], [12, 1]], 1/8957952000], [[[1, 6], [2, 1], [4, 1], [5, 1], [7, 1], [9, 1]], 1/241920], [[[1, 6], [2, 1], [4, 1], [5, 1], [7, 1], [14, 1]], 1/134400], [[[1, 6], [2, 1], [4, 1], [5, 1], [8, 1], [10, 2]], 7/61440000], [[[1, 6], [2, 1], [4, 1], [5, 1], [8, 1], [12, 2]], 7/29491200], [[[1, 6], [2, 1], [4, 1], [5, 1], [8, 1], [15, 1]], 7/3072000], [[[1, 6], [2, 1], [4, 1], [5, 1], [8, 1], [16, 1]], 1/61440], [[[1, 6], [2, 1], [4, 1], [5, 1], [8, 1], [20, 1]], 53/6144000], [[[1, 6], [2, 1], [4, 1], [5, 1], [8, 1], [24, 1]], 17/1474560], [[[1, 6], [2, 1], [4, 1], [5, 1], [8, 1], [30, 1]], 7/3072000], [[[1, 6], [2, 1], [4, 1], [5, 1], [8, 2], [10, 1]], 1/18432000], [[[1, 6], [2, 1], [4, 1], [5, 1], [8, 2], [12, 1]], 1/11059200], [[[1, 6], [2, 1], [4, 1], [5, 1], [9, 1], [18, 1]], 1/172800], [[[1, 6], [2, 1], [4, 1], [5, 1], [10, 1], [12, 2]], 1/27648000], [[[1, 6], [2, 1], [4, 1], [5, 1], [10, 1], [15, 1]], 1/2880000], [[[1, 6], [2, 1], [4, 1], [5, 1], [10, 1], [20, 1]], 1/1920000], [[[1, 6], [2, 1], [4, 1], [5, 1], [10, 1], [24, 1]], 1/2304000], [[[1, 6], [2, 1], [4, 1], [5, 1], [10, 1], [30, 1]], 1/2880000], [[[1, 6], [2, 1], [4, 1], [5, 1], [10, 2], [12, 1]], 1/34560000], [[[1, 6], [2, 1], [4, 1], [5, 1], [12, 1], [15, 1]], 1/1728000], [[[1, 6], [2, 1], [4, 1], [5, 1], [12, 1], [16, 1]], 1/230400], [[[1, 6], [2, 1], [4, 1], [5, 1], [12, 1], [20, 1]], 1/230400], [[[1, 6], [2, 1], [4, 1], [5, 1], [12, 1], [24, 1]], 7/1382400], [[[1, 6], [2, 1], [4, 1], [5, 1], [12, 1], [30, 1]], 1/1728000], [[[1, 6], [2, 1], [4, 1], [5, 2], [6, 1], [7, 1]], 1/19353600], [[[1, 6], [2, 1], [4, 1], [5, 2], [6, 1], [9, 1]], 1/74649600], [[[1, 6], [2, 1], [4, 1], [5, 2], [6, 1], [18, 1]], 193/995328000], [[[1, 6], [2, 1], [4, 1], [5, 2], [6, 2], [12, 1]], 193/5308416000], [[[1, 6], [2, 1], [4, 1], [5, 2], [8, 1], [10, 1]], 1/192000], [[[1, 6], [2, 1], [4, 1], [6, 1], [7, 1], [8, 2]], 19/6193152], [[[1, 6], [2, 1], [4, 1], [6, 1], [7, 1], [10, 2]], 1/19353600], [[[1, 6], [2, 1], [4, 1], [6, 1], [7, 1], [12, 2]], 1/9289728], [[[1, 6], [2, 1], [4, 1], [6, 1], [7, 1], [15, 1]], 1/967680], [[[1, 6], [2, 1], [4, 1], [6, 1], [7, 1], [20, 1]], 1/645120], [[[1, 6], [2, 1], [4, 1], [6, 1], [7, 1], [24, 1]], 1/774144], [[[1, 6], [2, 1], [4, 1], [6, 1], [7, 1], [30, 1]], 1/967680], [[[1, 6], [2, 1], [4, 1], [6, 1], [8, 2], [9, 1]], 19/23887872], [[[1, 6], [2, 1], [4, 1], [6, 1], [8, 2], [18, 1]], 61/318504960], [[[1, 6], [2, 1], [4, 1], [6, 1], [9, 1], [10, 2]], 1/74649600], [[[1, 6], [2, 1], [4, 1], [6, 1], [9, 1], [12, 2]], 1/35831808], [[[1, 6], [2, 1], [4, 1], [6, 1], [9, 1], [15, 1]], 1/3732480], [[[1, 6], [2, 1], [4, 1], [6, 1], [9, 1], [20, 1]], 1/2488320], [[[1, 6], [2, 1], [4, 1], [6, 1], [9, 1], [24, 1]], 1/2985984], [[[1, 6], [2, 1], [4, 1], [6, 1], [9, 1], [30, 1]], 1/3732480], [[[1, 6], [2, 1], [4, 1], [6, 1], [10, 2], [18, 1]], 1/995328000], [[[1, 6], [2, 1], [4, 1], [6, 1], [12, 2], [18, 1]], 1/477757440], [[[1, 6], [2, 1], [4, 1], [6, 1], [15, 1], [18, 1]], 1/49766400], [[[1, 6], [2, 1], [4, 1], [6, 1], [18, 1], [20, 1]], 1/33177600], [[[1, 6], [2, 1], [4, 1], [6, 1], [18, 1], [24, 1]], 1/39813120], [[[1, 6], [2, 1], [4, 1], [6, 1], [18, 1], [30, 1]], 1/49766400], [[[1, 6], [2, 1], [4, 1], [6, 2], [7, 1], [18, 1]], 1/1741824], [[[1, 6], [2, 1], [4, 1], [6, 2], [8, 2], [12, 1]], 61/1698693120], [[[1, 6], [2, 1], [4, 1], [6, 2], [9, 1], [18, 1]], 1/6718464], [[[1, 6], [2, 1], [4, 1], [6, 2], [10, 2], [12, 1]], 1/5308416000], [[[1, 6], [2, 1], [4, 1], [6, 2], [12, 1], [15, 1]], 1/265420800], [[[1, 6], [2, 1], [4, 1], [6, 2], [12, 1], [20, 1]], 1/176947200], [[[1, 6], [2, 1], [4, 1], [6, 2], [12, 1], [24, 1]], 1/212336640], [[[1, 6], [2, 1], [4, 1], [6, 2], [12, 1], [30, 1]], 1/265420800], [[[1, 6], [2, 1], [4, 1], [6, 3], [7, 1], [8, 1]], 1/18579456], [[[1, 6], [2, 1], [4, 1], [6, 3], [7, 1], [12, 1]], 1/9289728], [[[1, 6], [2, 1], [4, 1], [6, 3], [8, 1], [9, 1]], 1/71663616], [[[1, 6], [2, 1], [4, 1], [6, 3], [9, 1], [12, 1]], 1/35831808], [[[1, 6], [2, 1], [4, 1], [6, 3], [12, 1], [18, 1]], 1/477757440], [[[1, 6], [2, 1], [4, 1], [7, 1], [8, 1], [9, 1]], 5/258048], [[[1, 6], [2, 1], [4, 1], [7, 1], [8, 1], [14, 1]], 1/200704], [[[1, 6], [2, 1], [4, 1], [7, 1], [8, 1], [18, 1]], 1/258048], [[[1, 6], [2, 1], [4, 1], [7, 1], [9, 1], [10, 1]], 1/241920], [[[1, 6], [2, 1], [4, 1], [7, 1], [9, 1], [12, 1]], 1/145152], [[[1, 6], [2, 1], [4, 1], [8, 1], [9, 1], [14, 1]], 1/774144], [[[1, 6], [2, 1], [4, 1], [8, 1], [9, 1], [18, 1]], 1/995328], [[[1, 6], [2, 1], [4, 2], [5, 1], [6, 1], [12, 2]], 1/8294400], [[[1, 6], [2, 1], [4, 2], [5, 1], [6, 3], [12, 1]], 1/447897600], [[[1, 6], [2, 1], [4, 2], [5, 1], [7, 1], [8, 1]], 1/286720], [[[1, 6], [2, 1], [4, 2], [5, 1], [7, 1], [12, 1]], 1/403200], [[[1, 6], [2, 1], [4, 2], [5, 1], [8, 1], [9, 1]], 1/1105920], [[[1, 6], [2, 1], [4, 2], [5, 1], [9, 1], [12, 1]], 7/9331200], [[[1, 6], [2, 1], [4, 2], [5, 1], [12, 1], [14, 1]], 1/4838400], [[[1, 6], [2, 1], [4, 2], [5, 1], [12, 1], [18, 1]], 1/6220800], [[[1, 6], [2, 1], [4, 2], [5, 2], [6, 1], [8, 1]], 13/1061683200], [[[1, 6], [2, 1], [4, 2], [5, 2], [6, 1], [10, 1]], 1/1327104000], [[[1, 6], [2, 1], [4, 2], [5, 2], [6, 1], [12, 1]], 1/1061683200], [[[1, 6], [2, 1], [4, 2], [6, 1], [7, 1], [18, 1]], 1/3981312], [[[1, 6], [2, 1], [4, 2], [6, 1], [8, 1], [10, 2]], 13/1061683200], [[[1, 6], [2, 1], [4, 2], [6, 1], [8, 1], [12, 2]], 13/509607936], [[[1, 6], [2, 1], [4, 2], [6, 1], [8, 1], [15, 1]], 13/53084160], [[[1, 6], [2, 1], [4, 2], [6, 1], [8, 1], [20, 1]], 13/35389440], [[[1, 6], [2, 1], [4, 2], [6, 1], [8, 1], [24, 1]], 13/42467328], [[[1, 6], [2, 1], [4, 2], [6, 1], [8, 1], [30, 1]], 13/53084160], [[[1, 6], [2, 1], [4, 2], [6, 1], [8, 2], [10, 1]], 109/424673280], [[[1, 6], [2, 1], [4, 2], [6, 1], [8, 2], [12, 1]], 109/339738624], [[[1, 6], [2, 1], [4, 2], [6, 1], [9, 1], [18, 1]], 1/13436928], [[[1, 6], [2, 1], [4, 2], [6, 1], [10, 1], [12, 2]], 1/637009920], [[[1, 6], [2, 1], [4, 2], [6, 1], [10, 1], [15, 1]], 1/66355200], [[[1, 6], [2, 1], [4, 2], [6, 1], [10, 1], [20, 1]], 1/44236800], [[[1, 6], [2, 1], [4, 2], [6, 1], [10, 1], [24, 1]], 1/53084160], [[[1, 6], [2, 1], [4, 2], [6, 1], [10, 1], [30, 1]], 1/66355200], [[[1, 6], [2, 1], [4, 2], [6, 1], [10, 2], [12, 1]], 1/1061683200], [[[1, 6], [2, 1], [4, 2], [6, 1], [12, 1], [15, 1]], 1/53084160], [[[1, 6], [2, 1], [4, 2], [6, 1], [12, 1], [20, 1]], 1/35389440], [[[1, 6], [2, 1], [4, 2], [6, 1], [12, 1], [24, 1]], 1/42467328], [[[1, 6], [2, 1], [4, 2], [6, 1], [12, 1], [30, 1]], 1/53084160], [[[1, 6], [2, 1], [4, 2], [6, 1], [14, 1], [18, 1]], 1/55738368], [[[1, 6], [2, 1], [4, 2], [6, 2], [7, 1], [12, 1]], 1/21233664], [[[1, 6], [2, 1], [4, 2], [6, 2], [8, 1], [18, 1]], 13/95551488], [[[1, 6], [2, 1], [4, 2], [6, 2], [9, 1], [12, 1]], 1/71663616], [[[1, 6], [2, 1], [4, 2], [6, 2], [10, 1], [18, 1]], 1/119439360], [[[1, 6], [2, 1], [4, 2], [6, 2], [12, 1], [14, 1]], 1/297271296], [[[1, 6], [2, 1], [4, 2], [6, 2], [12, 1], [18, 1]], 5/382205952], [[[1, 6], [2, 1], [4, 2], [6, 3], [8, 1], [12, 1]], 13/509607936], [[[1, 6], [2, 1], [4, 2], [6, 3], [10, 1], [12, 1]], 1/637009920], [[[1, 6], [2, 1], [4, 2], [7, 1], [8, 1], [10, 1]], 1/286720], [[[1, 6], [2, 1], [4, 2], [7, 1], [8, 1], [12, 1]], 5/774144], [[[1, 6], [2, 1], [4, 2], [8, 1], [9, 1], [10, 1]], 1/1105920], [[[1, 6], [2, 1], [4, 2], [8, 1], [9, 1], [12, 1]], 5/2985984], [[[1, 6], [2, 1], [4, 3], [5, 1], [6, 1], [18, 1]], 1/44236800], [[[1, 6], [2, 1], [4, 3], [5, 1], [6, 2], [12, 1]], 1/235929600], [[[1, 6], [2, 1], [4, 3], [5, 1], [8, 1], [10, 1]], 1/2949120], [[[1, 6], [2, 1], [4, 3], [5, 1], [8, 1], [12, 1]], 1/491520], [[[1, 6], [2, 1], [4, 3], [5, 1], [10, 1], [12, 1]], 1/6912000], [[[1, 6], [2, 1], [4, 3], [6, 1], [7, 1], [12, 1]], 1/2322432], [[[1, 6], [2, 1], [4, 3], [6, 1], [8, 1], [18, 1]], 23/254803968], [[[1, 6], [2, 1], [4, 3], [6, 1], [9, 1], [12, 1]], 1/8957952], [[[1, 6], [2, 1], [4, 3], [6, 1], [10, 1], [18, 1]], 1/79626240], [[[1, 6], [2, 1], [4, 3], [6, 1], [12, 1], [18, 1]], 7/238878720], [[[1, 6], [2, 1], [4, 3], [6, 2], [8, 1], [12, 1]], 23/1358954496], [[[1, 6], [2, 1], [4, 3], [6, 2], [10, 1], [12, 1]], 1/424673280], [[[1, 6], [2, 1], [4, 4], [5, 1], [6, 1], [8, 1]], 1/5308416000], [[[1, 6], [2, 1], [4, 4], [5, 1], [6, 1], [10, 1]], 1/6635520000], [[[1, 6], [2, 1], [4, 4], [5, 1], [6, 1], [12, 1]], 1/5308416000], [[[1, 6], [2, 1], [4, 4], [6, 1], [8, 1], [12, 1]], 13/127401984], [[[1, 6], [2, 1], [4, 4], [6, 1], [10, 1], [12, 1]], 1/159252480], [[[1, 6], [2, 1], [5, 1], [6, 1], [7, 1], [18, 1]], 1/302400], [[[1, 6], [2, 1], [5, 1], [6, 1], [8, 1], [10, 2]], 1/69120000], [[[1, 6], [2, 1], [5, 1], [6, 1], [8, 1], [12, 2]], 1/33177600], [[[1, 6], [2, 1], [5, 1], [6, 1], [8, 1], [15, 1]], 1/3456000], [[[1, 6], [2, 1], [5, 1], [6, 1], [8, 1], [20, 1]], 1/2304000], [[[1, 6], [2, 1], [5, 1], [6, 1], [8, 1], [24, 1]], 1/2764800], [[[1, 6], [2, 1], [5, 1], [6, 1], [8, 1], [30, 1]], 1/3456000], [[[1, 6], [2, 1], [5, 1], [6, 1], [8, 2], [10, 1]], 1/27648000], [[[1, 6], [2, 1], [5, 1], [6, 1], [8, 2], [12, 1]], 1/22118400], [[[1, 6], [2, 1], [5, 1], [6, 1], [9, 1], [18, 1]], 7/6998400], [[[1, 6], [2, 1], [5, 1], [6, 1], [10, 1], [12, 2]], 1/41472000], [[[1, 6], [2, 1], [5, 1], [6, 1], [10, 1], [15, 1]], 1/4320000], [[[1, 6], [2, 1], [5, 1], [6, 1], [10, 1], [20, 1]], 1/2880000], [[[1, 6], [2, 1], [5, 1], [6, 1], [10, 1], [24, 1]], 1/3456000], [[[1, 6], [2, 1], [5, 1], [6, 1], [10, 1], [30, 1]], 1/4320000], [[[1, 6], [2, 1], [5, 1], [6, 1], [10, 2], [12, 1]], 1/69120000], [[[1, 6], [2, 1], [5, 1], [6, 1], [12, 1], [15, 1]], 1/3456000], [[[1, 6], [2, 1], [5, 1], [6, 1], [12, 1], [20, 1]], 1/2304000], [[[1, 6], [2, 1], [5, 1], [6, 1], [12, 1], [24, 1]], 1/2764800], [[[1, 6], [2, 1], [5, 1], [6, 1], [12, 1], [30, 1]], 1/3456000], [[[1, 6], [2, 1], [5, 1], [6, 1], [14, 1], [18, 1]], 1/3628800], [[[1, 6], [2, 1], [5, 1], [6, 2], [7, 1], [12, 1]], 1/1612800], [[[1, 6], [2, 1], [5, 1], [6, 2], [8, 1], [18, 1]], 1/6220800], [[[1, 6], [2, 1], [5, 1], [6, 2], [9, 1], [12, 1]], 7/37324800], [[[1, 6], [2, 1], [5, 1], [6, 2], [10, 1], [18, 1]], 1/7776000], [[[1, 6], [2, 1], [5, 1], [6, 2], [12, 1], [14, 1]], 1/19353600], [[[1, 6], [2, 1], [5, 1], [6, 2], [12, 1], [18, 1]], 1/4976640], [[[1, 6], [2, 1], [5, 1], [6, 3], [8, 1], [12, 1]], 1/33177600], [[[1, 6], [2, 1], [5, 1], [6, 3], [10, 1], [12, 1]], 1/41472000], [[[1, 6], [2, 1], [6, 1], [7, 1], [8, 1], [9, 1]], 1/290304], [[[1, 6], [2, 1], [6, 1], [7, 1], [8, 1], [18, 1]], 1/1161216], [[[1, 6], [2, 1], [6, 1], [7, 1], [9, 1], [10, 1]], 1/362880], [[[1, 6], [2, 1], [6, 1], [7, 1], [9, 1], [12, 1]], 1/290304], [[[1, 6], [2, 1], [6, 1], [8, 1], [9, 1], [18, 1]], 1/4478976], [[[1, 6], [2, 1], [6, 2], [7, 1], [8, 1], [12, 1]], 1/6193152], [[[1, 6], [2, 1], [6, 2], [8, 1], [9, 1], [12, 1]], 1/23887872], [[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [6, 4]], 44903/286654464000], [[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [8, 2]], 31441/1061683200], [[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [10, 2]], 9589/3317760000], [[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [12, 2]], 2417/318504960], [[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [15, 1]], 949/165888000], [[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [16, 1]], 1/92160], [[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [20, 1]], 949/110592000], [[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [24, 1]], 949/132710400], [[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [30, 1]], 949/165888000], [[[1, 6], [2, 3], [3, 1], [4, 1], [5, 2], [6, 2]], 24829/15925248000], [[[1, 6], [2, 3], [3, 1], [4, 1], [5, 2], [8, 1]], 1399213/47775744000], [[[1, 6], [2, 3], [3, 1], [4, 1], [5, 2], [10, 1]], 18103/414720000], [[[1, 6], [2, 3], [3, 1], [4, 1], [5, 2], [12, 1]], 13007/884736000], [[[1, 6], [2, 3], [3, 1], [4, 1], [6, 2], [8, 2]], 66073/5096079360], [[[1, 6], [2, 3], [3, 1], [4, 1], [6, 2], [10, 2]], 33853/15925248000], [[[1, 6], [2, 3], [3, 1], [4, 1], [6, 2], [12, 2]], 3301/509607936], [[[1, 6], [2, 3], [3, 1], [4, 1], [6, 2], [15, 1]], 2173/796262400], [[[1, 6], [2, 3], [3, 1], [4, 1], [6, 2], [16, 1]], 1/663552], [[[1, 6], [2, 3], [3, 1], [4, 1], [6, 2], [20, 1]], 2173/530841600], [[[1, 6], [2, 3], [3, 1], [4, 1], [6, 2], [24, 1]], 4573/637009920], [[[1, 6], [2, 3], [3, 1], [4, 1], [6, 2], [30, 1]], 2173/796262400], [[[1, 6], [2, 3], [3, 1], [4, 1], [6, 3], [7, 1]], 205/83607552], [[[1, 6], [2, 3], [3, 1], [4, 1], [6, 3], [9, 1]], 1453/1612431360], [[[1, 6], [2, 3], [3, 1], [4, 1], [6, 3], [14, 1]], 1/2322432], [[[1, 6], [2, 3], [3, 1], [4, 1], [6, 3], [18, 1]], 7879/4299816960], [[[1, 6], [2, 3], [3, 1], [4, 1], [6, 4], [8, 1]], 7872301/12383472844800], [[[1, 6], [2, 3], [3, 1], [4, 1], [6, 4], [10, 1]], 30631/107495424000], [[[1, 6], [2, 3], [3, 1], [4, 1], [6, 4], [12, 1]], 1414621/2063912140800], [[[1, 6], [2, 3], [3, 1], [4, 1], [7, 1], [9, 1]], 2393/139345920], [[[1, 6], [2, 3], [3, 1], [4, 1], [7, 1], [14, 1]], 487/6773760], [[[1, 6], [2, 3], [3, 1], [4, 1], [7, 1], [18, 1]], 13/1161216], [[[1, 6], [2, 3], [3, 1], [4, 1], [8, 1], [10, 2]], 9901/47775744000], [[[1, 6], [2, 3], [3, 1], [4, 1], [8, 1], [12, 2]], 165421/22932357120], [[[1, 6], [2, 3], [3, 1], [4, 1], [8, 1], [15, 1]], 9901/2388787200], [[[1, 6], [2, 3], [3, 1], [4, 1], [8, 1], [16, 1]], 13/442368], [[[1, 6], [2, 3], [3, 1], [4, 1], [8, 1], [20, 1]], 19693/1592524800], [[[1, 6], [2, 3], [3, 1], [4, 1], [8, 1], [24, 1]], 5897/382205952], [[[1, 6], [2, 3], [3, 1], [4, 1], [8, 1], [30, 1]], 9901/2388787200], [[[1, 6], [2, 3], [3, 1], [4, 1], [8, 2], [10, 1]], 1/518400], [[[1, 6], [2, 3], [3, 1], [4, 1], [8, 2], [12, 1]], 3299/283115520], [[[1, 6], [2, 3], [3, 1], [4, 1], [9, 1], [14, 1]], 151/23224320], [[[1, 6], [2, 3], [3, 1], [4, 1], [9, 1], [18, 1]], 263/11197440], [[[1, 6], [2, 3], [3, 1], [4, 1], [10, 1], [12, 2]], 391/199065600], [[[1, 6], [2, 3], [3, 1], [4, 1], [10, 1], [15, 1]], 31/20736000], [[[1, 6], [2, 3], [3, 1], [4, 1], [10, 1], [20, 1]], 31/13824000], [[[1, 6], [2, 3], [3, 1], [4, 1], [10, 1], [24, 1]], 31/16588800], [[[1, 6], [2, 3], [3, 1], [4, 1], [10, 1], [30, 1]], 31/20736000], [[[1, 6], [2, 3], [3, 1], [4, 1], [10, 2], [12, 1]], 1039/884736000], [[[1, 6], [2, 3], [3, 1], [4, 1], [12, 1], [15, 1]], 79/44236800], [[[1, 6], [2, 3], [3, 1], [4, 1], [12, 1], [16, 1]], 1/103680], [[[1, 6], [2, 3], [3, 1], [4, 1], [12, 1], [20, 1]], 1799/265420800], [[[1, 6], [2, 3], [3, 1], [4, 1], [12, 1], [24, 1]], 781/106168320], [[[1, 6], [2, 3], [3, 1], [4, 1], [12, 1], [30, 1]], 79/44236800], [[[1, 6], [2, 3], [3, 1], [4, 1], [14, 1], [18, 1]], 1/387072], [[[1, 6], [2, 3], [3, 1], [4, 2], [5, 1], [6, 3]], 28331/85996339200], [[[1, 6], [2, 3], [3, 1], [4, 2], [5, 1], [7, 1]], 235/12386304], [[[1, 6], [2, 3], [3, 1], [4, 2], [5, 1], [9, 1]], 1469/159252480], [[[1, 6], [2, 3], [3, 1], [4, 2], [5, 1], [14, 1]], 671/103219200], [[[1, 6], [2, 3], [3, 1], [4, 2], [5, 1], [18, 1]], 5723/1194393600], [[[1, 6], [2, 3], [3, 1], [4, 2], [5, 2], [6, 1]], 2525069/429981696000], [[[1, 6], [2, 3], [3, 1], [4, 2], [6, 1], [8, 2]], 9045893/137594142720], [[[1, 6], [2, 3], [3, 1], [4, 2], [6, 1], [10, 2]], 1078733/429981696000], [[[1, 6], [2, 3], [3, 1], [4, 2], [6, 1], [12, 2]], 3436567/206391214080], [[[1, 6], [2, 3], [3, 1], [4, 2], [6, 1], [15, 1]], 67853/21499084800], [[[1, 6], [2, 3], [3, 1], [4, 2], [6, 1], [16, 1]], 101/2949120], [[[1, 6], [2, 3], [3, 1], [4, 2], [6, 1], [20, 1]], 378893/14332723200], [[[1, 6], [2, 3], [3, 1], [4, 2], [6, 1], [24, 1]], 42277/3439853568], [[[1, 6], [2, 3], [3, 1], [4, 2], [6, 1], [30, 1]], 67853/21499084800], [[[1, 6], [2, 3], [3, 1], [4, 2], [6, 2], [7, 1]], 4429/891813888], [[[1, 6], [2, 3], [3, 1], [4, 2], [6, 2], [9, 1]], 6521/3439853568], [[[1, 6], [2, 3], [3, 1], [4, 2], [6, 2], [14, 1]], 709/891813888], [[[1, 6], [2, 3], [3, 1], [4, 2], [6, 2], [18, 1]], 365687/154793410560], [[[1, 6], [2, 3], [3, 1], [4, 2], [6, 3], [8, 1]], 24581/13759414272], [[[1, 6], [2, 3], [3, 1], [4, 2], [6, 3], [10, 1]], 83/127401984], [[[1, 6], [2, 3], [3, 1], [4, 2], [6, 3], [12, 1]], 8084041/5572562780160], [[[1, 6], [2, 3], [3, 1], [4, 2], [7, 1], [8, 1]], 91/2359296], [[[1, 6], [2, 3], [3, 1], [4, 2], [7, 1], [10, 1]], 1/96768], [[[1, 6], [2, 3], [3, 1], [4, 2], [7, 1], [12, 1]], 50179/2229534720], [[[1, 6], [2, 3], [3, 1], [4, 2], [8, 1], [9, 1]], 65143/3822059520], [[[1, 6], [2, 3], [3, 1], [4, 2], [8, 1], [14, 1]], 275/24772608], [[[1, 6], [2, 3], [3, 1], [4, 2], [8, 1], [18, 1]], 49/5971968], [[[1, 6], [2, 3], [3, 1], [4, 2], [9, 1], [10, 1]], 10721/2388787200], [[[1, 6], [2, 3], [3, 1], [4, 2], [9, 1], [12, 1]], 26513/2866544640], [[[1, 6], [2, 3], [3, 1], [4, 2], [10, 1], [14, 1]], 1/368640], [[[1, 6], [2, 3], [3, 1], [4, 2], [10, 1], [18, 1]], 7/3317760], [[[1, 6], [2, 3], [3, 1], [4, 2], [12, 1], [14, 1]], 16309/2866544640], [[[1, 6], [2, 3], [3, 1], [4, 2], [12, 1], [18, 1]], 67397/15479341056], [[[1, 6], [2, 3], [3, 1], [4, 3], [5, 1], [6, 2]], 1387/2123366400], [[[1, 6], [2, 3], [3, 1], [4, 3], [5, 1], [8, 1]], 12091/353894400], [[[1, 6], [2, 3], [3, 1], [4, 3], [5, 1], [10, 1]], 2167/88473600], [[[1, 6], [2, 3], [3, 1], [4, 3], [5, 1], [12, 1]], 56783/3185049600], [[[1, 6], [2, 3], [3, 1], [4, 3], [6, 1], [7, 1]], 1487/74317824], [[[1, 6], [2, 3], [3, 1], [4, 3], [6, 1], [9, 1]], 33151/5733089280], [[[1, 6], [2, 3], [3, 1], [4, 3], [6, 1], [14, 1]], 29/37158912], [[[1, 6], [2, 3], [3, 1], [4, 3], [6, 1], [18, 1]], 6853/5733089280], [[[1, 6], [2, 3], [3, 1], [4, 3], [6, 2], [8, 1]], 18005/2038431744], [[[1, 6], [2, 3], [3, 1], [4, 3], [6, 2], [10, 1]], 1169/1274019840], [[[1, 6], [2, 3], [3, 1], [4, 3], [6, 2], [12, 1]], 471661/30576476160], [[[1, 6], [2, 3], [3, 1], [4, 3], [8, 1], [10, 1]], 193/23592960], [[[1, 6], [2, 3], [3, 1], [4, 3], [8, 1], [12, 1]], 373975/9172942848], [[[1, 6], [2, 3], [3, 1], [4, 3], [10, 1], [12, 1]], 15439/3185049600], [[[1, 6], [2, 3], [3, 1], [4, 4], [5, 1], [6, 1]], 4181/3822059520], [[[1, 6], [2, 3], [3, 1], [4, 4], [6, 1], [8, 1]], 554263/50960793600], [[[1, 6], [2, 3], [3, 1], [4, 4], [6, 1], [10, 1]], 1210213/1719926784000], [[[1, 6], [2, 3], [3, 1], [4, 4], [6, 1], [12, 1]], 1858397/165112971264], [[[1, 6], [2, 3], [3, 1], [5, 1], [6, 1], [8, 2]], 4271/398131200], [[[1, 6], [2, 3], [3, 1], [5, 1], [6, 1], [10, 2]], 523/248832000], [[[1, 6], [2, 3], [3, 1], [5, 1], [6, 1], [12, 2]], 859/119439360], [[[1, 6], [2, 3], [3, 1], [5, 1], [6, 1], [15, 1]], 91/12441600], [[[1, 6], [2, 3], [3, 1], [5, 1], [6, 1], [20, 1]], 91/8294400], [[[1, 6], [2, 3], [3, 1], [5, 1], [6, 1], [24, 1]], 1247/49766400], [[[1, 6], [2, 3], [3, 1], [5, 1], [6, 1], [30, 1]], 91/12441600], [[[1, 6], [2, 3], [3, 1], [5, 1], [6, 2], [7, 1]], 23/3628800], [[[1, 6], [2, 3], [3, 1], [5, 1], [6, 2], [9, 1]], 337/111974400], [[[1, 6], [2, 3], [3, 1], [5, 1], [6, 2], [14, 1]], 11/4838400], [[[1, 6], [2, 3], [3, 1], [5, 1], [6, 2], [18, 1]], 71/12441600], [[[1, 6], [2, 3], [3, 1], [5, 1], [6, 3], [8, 1]], 2317/1791590400], [[[1, 6], [2, 3], [3, 1], [5, 1], [6, 3], [10, 1]], 137/124416000], [[[1, 6], [2, 3], [3, 1], [5, 1], [6, 3], [12, 1]], 2219/1074954240], [[[1, 6], [2, 3], [3, 1], [5, 1], [7, 1], [8, 1]], 13/460800], [[[1, 6], [2, 3], [3, 1], [5, 1], [7, 1], [10, 1]], 11/806400], [[[1, 6], [2, 3], [3, 1], [5, 1], [7, 1], [12, 1]], 37/2419200], [[[1, 6], [2, 3], [3, 1], [5, 1], [8, 1], [9, 1]], 11/777600], [[[1, 6], [2, 3], [3, 1], [5, 1], [8, 1], [14, 1]], 23/2150400], [[[1, 6], [2, 3], [3, 1], [5, 1], [8, 1], [18, 1]], 193/24883200], [[[1, 6], [2, 3], [3, 1], [5, 1], [9, 1], [10, 1]], 41/6220800], [[[1, 6], [2, 3], [3, 1], [5, 1], [9, 1], [12, 1]], 11/1555200], [[[1, 6], [2, 3], [3, 1], [5, 1], [10, 1], [14, 1]], 1/268800], [[[1, 6], [2, 3], [3, 1], [5, 1], [10, 1], [18, 1]], 1/345600], [[[1, 6], [2, 3], [3, 1], [5, 1], [12, 1], [14, 1]], 1/134400], [[[1, 6], [2, 3], [3, 1], [5, 1], [12, 1], [18, 1]], 47/9331200], [[[1, 6], [2, 3], [3, 1], [5, 2], [6, 1], [8, 1]], 1193/221184000], [[[1, 6], [2, 3], [3, 1], [5, 2], [6, 1], [10, 1]], 981739/22394880000], [[[1, 6], [2, 3], [3, 1], [5, 2], [6, 1], [12, 1]], 62543/10749542400], [[[1, 6], [2, 3], [3, 1], [6, 1], [7, 1], [9, 1]], 49/1492992], [[[1, 6], [2, 3], [3, 1], [6, 1], [7, 1], [14, 1]], 1/10752], [[[1, 6], [2, 3], [3, 1], [6, 1], [7, 1], [18, 1]], 601/26127360], [[[1, 6], [2, 3], [3, 1], [6, 1], [8, 1], [10, 2]], 41/221184000], [[[1, 6], [2, 3], [3, 1], [6, 1], [8, 1], [12, 2]], 983/318504960], [[[1, 6], [2, 3], [3, 1], [6, 1], [8, 1], [15, 1]], 41/11059200], [[[1, 6], [2, 3], [3, 1], [6, 1], [8, 1], [16, 1]], 1/73728], [[[1, 6], [2, 3], [3, 1], [6, 1], [8, 1], [20, 1]], 41/7372800], [[[1, 6], [2, 3], [3, 1], [6, 1], [8, 1], [24, 1]], 3/327680], [[[1, 6], [2, 3], [3, 1], [6, 1], [8, 1], [30, 1]], 41/11059200], [[[1, 6], [2, 3], [3, 1], [6, 1], [8, 2], [10, 1]], 5203/7166361600], [[[1, 6], [2, 3], [3, 1], [6, 1], [8, 2], [12, 1]], 8759/3439853568], [[[1, 6], [2, 3], [3, 1], [6, 1], [9, 1], [14, 1]], 31/2985984], [[[1, 6], [2, 3], [3, 1], [6, 1], [9, 1], [18, 1]], 1307/53747712], [[[1, 6], [2, 3], [3, 1], [6, 1], [10, 1], [12, 2]], 11683/10749542400], [[[1, 6], [2, 3], [3, 1], [6, 1], [10, 1], [15, 1]], 1963/1119744000], [[[1, 6], [2, 3], [3, 1], [6, 1], [10, 1], [20, 1]], 1963/746496000], [[[1, 6], [2, 3], [3, 1], [6, 1], [10, 1], [24, 1]], 1963/895795200], [[[1, 6], [2, 3], [3, 1], [6, 1], [10, 1], [30, 1]], 1963/1119744000], [[[1, 6], [2, 3], [3, 1], [6, 1], [10, 2], [12, 1]], 8111/10749542400], [[[1, 6], [2, 3], [3, 1], [6, 1], [12, 1], [15, 1]], 67/107495424], [[[1, 6], [2, 3], [3, 1], [6, 1], [12, 1], [20, 1]], 67/71663616], [[[1, 6], [2, 3], [3, 1], [6, 1], [12, 1], [24, 1]], 335/429981696], [[[1, 6], [2, 3], [3, 1], [6, 1], [12, 1], [30, 1]], 67/107495424], [[[1, 6], [2, 3], [3, 1], [6, 1], [14, 1], [18, 1]], 3583/940584960], [[[1, 6], [2, 3], [3, 1], [6, 2], [7, 1], [8, 1]], 25/1327104], [[[1, 6], [2, 3], [3, 1], [6, 2], [7, 1], [10, 1]], 37/2322432], [[[1, 6], [2, 3], [3, 1], [6, 2], [7, 1], [12, 1]], 2651/139345920], [[[1, 6], [2, 3], [3, 1], [6, 2], [8, 1], [9, 1]], 79/11943936], [[[1, 6], [2, 3], [3, 1], [6, 2], [8, 1], [14, 1]], 59/18579456], [[[1, 6], [2, 3], [3, 1], [6, 2], [8, 1], [18, 1]], 1613/358318080], [[[1, 6], [2, 3], [3, 1], [6, 2], [9, 1], [10, 1]], 1/186624], [[[1, 6], [2, 3], [3, 1], [6, 2], [9, 1], [12, 1]], 112769/17199267840], [[[1, 6], [2, 3], [3, 1], [6, 2], [10, 1], [14, 1]], 1/430080], [[[1, 6], [2, 3], [3, 1], [6, 2], [10, 1], [18, 1]], 701/251942400], [[[1, 6], [2, 3], [3, 1], [6, 2], [12, 1], [14, 1]], 2209/716636160], [[[1, 6], [2, 3], [3, 1], [6, 2], [12, 1], [18, 1]], 10603/3869835264], [[[1, 6], [2, 3], [3, 1], [6, 3], [8, 1], [10, 1]], 13/7962624], [[[1, 6], [2, 3], [3, 1], [6, 3], [8, 1], [12, 1]], 21541/8599633920], [[[1, 6], [2, 3], [3, 1], [6, 3], [10, 1], [12, 1]], 18883/10749542400], [[[1, 6], [2, 3], [3, 1], [7, 1], [8, 1], [10, 1]], 1/215040], [[[1, 6], [2, 3], [3, 1], [7, 1], [8, 1], [12, 1]], 19/1548288], [[[1, 6], [2, 3], [3, 1], [7, 1], [10, 1], [12, 1]], 17/1935360], [[[1, 6], [2, 3], [3, 1], [8, 1], [9, 1], [10, 1]], 1/663552], [[[1, 6], [2, 3], [3, 1], [8, 1], [9, 1], [12, 1]], 29/5971968], [[[1, 6], [2, 3], [3, 1], [8, 1], [12, 1], [14, 1]], 11/3096576], [[[1, 6], [2, 3], [3, 1], [8, 1], [12, 1], [18, 1]], 31/11943936], [[[1, 6], [2, 3], [3, 1], [9, 1], [10, 1], [12, 1]], 23/7464960], [[[1, 6], [2, 3], [3, 1], [10, 1], [12, 1], [14, 1]], 1/645120], [[[1, 6], [2, 3], [3, 1], [10, 1], [12, 1], [18, 1]], 1/829440], [[[1, 6], [2, 3], [3, 2], [4, 1], [5, 1], [6, 3]], 308363/128994508800], [[[1, 6], [2, 3], [3, 2], [4, 1], [5, 1], [7, 1]], 53/2903040], [[[1, 6], [2, 3], [3, 2], [4, 1], [5, 1], [9, 1]], 3509/298598400], [[[1, 6], [2, 3], [3, 2], [4, 1], [5, 1], [14, 1]], 53/5806080], [[[1, 6], [2, 3], [3, 2], [4, 1], [5, 1], [18, 1]], 139/22394880], [[[1, 6], [2, 3], [3, 2], [4, 1], [5, 2], [6, 1]], 2933/186624000], [[[1, 6], [2, 3], [3, 2], [4, 1], [6, 1], [8, 2]], 15821/955514880], [[[1, 6], [2, 3], [3, 2], [4, 1], [6, 1], [10, 2]], 337/373248000], [[[1, 6], [2, 3], [3, 2], [4, 1], [6, 1], [12, 2]], 40027/1433272320], [[[1, 6], [2, 3], [3, 2], [4, 1], [6, 1], [15, 1]], 97/18662400], [[[1, 6], [2, 3], [3, 2], [4, 1], [6, 1], [16, 1]], 17/3317760], [[[1, 6], [2, 3], [3, 2], [4, 1], [6, 1], [20, 1]], 97/12441600], [[[1, 6], [2, 3], [3, 2], [4, 1], [6, 1], [24, 1]], 617/29859840], [[[1, 6], [2, 3], [3, 2], [4, 1], [6, 1], [30, 1]], 97/18662400], [[[1, 6], [2, 3], [3, 2], [4, 1], [6, 2], [7, 1]], 50291/1486356480], [[[1, 6], [2, 3], [3, 2], [4, 1], [6, 2], [9, 1]], 13277/1146617856], [[[1, 6], [2, 3], [3, 2], [4, 1], [6, 2], [14, 1]], 1931/743178240], [[[1, 6], [2, 3], [3, 2], [4, 1], [6, 2], [18, 1]], 163/33592320], [[[1, 6], [2, 3], [3, 2], [4, 1], [6, 3], [8, 1]], 2763607/412782428160], [[[1, 6], [2, 3], [3, 2], [4, 1], [6, 3], [10, 1]], 68939/32248627200], [[[1, 6], [2, 3], [3, 2], [4, 1], [6, 3], [12, 1]], 476429/77396705280], [[[1, 6], [2, 3], [3, 2], [4, 1], [7, 1], [8, 1]], 11/516096], [[[1, 6], [2, 3], [3, 2], [4, 1], [7, 1], [10, 1]], 11/2903040], [[[1, 6], [2, 3], [3, 2], [4, 1], [7, 1], [12, 1]], 39979/2229534720], [[[1, 6], [2, 3], [3, 2], [4, 1], [8, 1], [9, 1]], 48301/4299816960], [[[1, 6], [2, 3], [3, 2], [4, 1], [8, 1], [14, 1]], 139/18579456], [[[1, 6], [2, 3], [3, 2], [4, 1], [8, 1], [18, 1]], 383/71663616], [[[1, 6], [2, 3], [3, 2], [4, 1], [9, 1], [10, 1]], 91/37324800], [[[1, 6], [2, 3], [3, 2], [4, 1], [9, 1], [12, 1]], 25043/2866544640], [[[1, 6], [2, 3], [3, 2], [4, 1], [10, 1], [14, 1]], 1/725760], [[[1, 6], [2, 3], [3, 2], [4, 1], [10, 1], [18, 1]], 11/11197440], [[[1, 6], [2, 3], [3, 2], [4, 1], [12, 1], [14, 1]], 7699/1114767360], [[[1, 6], [2, 3], [3, 2], [4, 1], [12, 1], [18, 1]], 1313/268738560], [[[1, 6], [2, 3], [3, 2], [4, 2], [5, 1], [6, 2]], 192101/15288238080], [[[1, 6], [2, 3], [3, 2], [4, 2], [5, 1], [8, 1]], 271/11796480], [[[1, 6], [2, 3], [3, 2], [4, 2], [5, 1], [10, 1]], 13/921600], [[[1, 6], [2, 3], [3, 2], [4, 2], [5, 1], [12, 1]], 2699/169869312], [[[1, 6], [2, 3], [3, 2], [4, 2], [6, 1], [7, 1]], 21565/2675441664], [[[1, 6], [2, 3], [3, 2], [4, 2], [6, 1], [9, 1]], 789527/154793410560], [[[1, 6], [2, 3], [3, 2], [4, 2], [6, 1], [14, 1]], 7073/2675441664], [[[1, 6], [2, 3], [3, 2], [4, 2], [6, 1], [18, 1]], 9877/3439853568], [[[1, 6], [2, 3], [3, 2], [4, 2], [6, 2], [8, 1]], 12750169/366917713920], [[[1, 6], [2, 3], [3, 2], [4, 2], [6, 2], [10, 1]], 696683/229323571200], [[[1, 6], [2, 3], [3, 2], [4, 2], [6, 2], [12, 1]], 23486761/412782428160], [[[1, 6], [2, 3], [3, 2], [4, 2], [8, 1], [10, 1]], 1/207360], [[[1, 6], [2, 3], [3, 2], [4, 2], [8, 1], [12, 1]], 4963979/183458856960], [[[1, 6], [2, 3], [3, 2], [4, 2], [10, 1], [12, 1]], 550729/114661785600], [[[1, 6], [2, 3], [3, 2], [4, 3], [5, 1], [6, 1]], 27011/2388787200], [[[1, 6], [2, 3], [3, 2], [4, 3], [6, 1], [8, 1]], 727631/30576476160], [[[1, 6], [2, 3], [3, 2], [4, 3], [6, 1], [10, 1]], 1043/477757440], [[[1, 6], [2, 3], [3, 2], [4, 3], [6, 1], [12, 1]], 4627601/91729428480], [[[1, 6], [2, 3], [3, 2], [5, 1], [6, 1], [7, 1]], 17/483840], [[[1, 6], [2, 3], [3, 2], [5, 1], [6, 1], [9, 1]], 743/37324800], [[[1, 6], [2, 3], [3, 2], [5, 1], [6, 1], [14, 1]], 877/58060800], [[[1, 6], [2, 3], [3, 2], [5, 1], [6, 1], [18, 1]], 179/14929920], [[[1, 6], [2, 3], [3, 2], [5, 1], [6, 2], [8, 1]], 1297/132710400], [[[1, 6], [2, 3], [3, 2], [5, 1], [6, 2], [10, 1]], 451/12288000], [[[1, 6], [2, 3], [3, 2], [5, 1], [6, 2], [12, 1]], 6163/597196800], [[[1, 6], [2, 3], [3, 2], [5, 1], [8, 1], [10, 1]], 1/460800], [[[1, 6], [2, 3], [3, 2], [5, 1], [8, 1], [12, 1]], 127/13271040], [[[1, 6], [2, 3], [3, 2], [5, 1], [10, 1], [12, 1]], 143/33177600], [[[1, 6], [2, 3], [3, 2], [6, 1], [7, 1], [8, 1]], 1115/55738368], [[[1, 6], [2, 3], [3, 2], [6, 1], [7, 1], [10, 1]], 7/1658880], [[[1, 6], [2, 3], [3, 2], [6, 1], [7, 1], [12, 1]], 4645/167215104], [[[1, 6], [2, 3], [3, 2], [6, 1], [8, 1], [9, 1]], 3293/358318080], [[[1, 6], [2, 3], [3, 2], [6, 1], [8, 1], [14, 1]], 31/7962624], [[[1, 6], [2, 3], [3, 2], [6, 1], [8, 1], [18, 1]], 3959/1074954240], [[[1, 6], [2, 3], [3, 2], [6, 1], [9, 1], [10, 1]], 641/251942400], [[[1, 6], [2, 3], [3, 2], [6, 1], [9, 1], [12, 1]], 11291/967458816], [[[1, 6], [2, 3], [3, 2], [6, 1], [10, 1], [14, 1]], 1/967680], [[[1, 6], [2, 3], [3, 2], [6, 1], [10, 1], [18, 1]], 73/67184640], [[[1, 6], [2, 3], [3, 2], [6, 1], [12, 1], [14, 1]], 2995/334430208], [[[1, 6], [2, 3], [3, 2], [6, 1], [12, 1], [18, 1]], 117017/17199267840], [[[1, 6], [2, 3], [3, 2], [6, 2], [8, 1], [10, 1]], 1889/955514880], [[[1, 6], [2, 3], [3, 2], [6, 2], [8, 1], [12, 1]], 10391/1433272320], [[[1, 6], [2, 3], [3, 2], [6, 2], [10, 1], [12, 1]], 3317/716636160], [[[1, 6], [2, 3], [3, 2], [8, 1], [10, 1], [12, 1]], 17/17694720], [[[1, 6], [2, 3], [3, 3], [4, 1], [5, 1], [6, 2]], 95123/5733089280], [[[1, 6], [2, 3], [3, 3], [4, 1], [5, 1], [8, 1]], 1639/149299200], [[[1, 6], [2, 3], [3, 3], [4, 1], [5, 1], [10, 1]], 59/27648000], [[[1, 6], [2, 3], [3, 3], [4, 1], [5, 1], [12, 1]], 144797/14332723200], [[[1, 6], [2, 3], [3, 3], [4, 1], [6, 1], [7, 1]], 919/250822656], [[[1, 6], [2, 3], [3, 3], [4, 1], [6, 1], [9, 1]], 7051/1612431360], [[[1, 6], [2, 3], [3, 3], [4, 1], [6, 1], [14, 1]], 71/62705664], [[[1, 6], [2, 3], [3, 3], [4, 1], [6, 1], [18, 1]], 53639/38698352640], [[[1, 6], [2, 3], [3, 3], [4, 1], [6, 2], [8, 1]], 604141/137594142720], [[[1, 6], [2, 3], [3, 3], [4, 1], [6, 2], [10, 1]], 11419/10749542400], [[[1, 6], [2, 3], [3, 3], [4, 1], [6, 2], [12, 1]], 423937/41278242816], [[[1, 6], [2, 3], [3, 3], [4, 1], [8, 1], [10, 1]], 5/5971968], [[[1, 6], [2, 3], [3, 3], [4, 1], [8, 1], [12, 1]], 193261/22932357120], [[[1, 6], [2, 3], [3, 3], [4, 1], [10, 1], [12, 1]], 833/597196800], [[[1, 6], [2, 3], [3, 3], [4, 2], [5, 1], [6, 1]], 391939/85996339200], [[[1, 6], [2, 3], [3, 3], [4, 2], [6, 1], [8, 1]], 157981/13759414272], [[[1, 6], [2, 3], [3, 3], [4, 2], [6, 1], [10, 1]], 15421/17199267840], [[[1, 6], [2, 3], [3, 3], [4, 2], [6, 1], [12, 1]], 4908043/206391214080], [[[1, 6], [2, 3], [3, 3], [5, 1], [6, 1], [8, 1]], 17453/1791590400], [[[1, 6], [2, 3], [3, 3], [5, 1], [6, 1], [10, 1]], 551/41472000], [[[1, 6], [2, 3], [3, 3], [5, 1], [6, 1], [12, 1]], 15443/1074954240], [[[1, 6], [2, 3], [3, 3], [6, 1], [8, 1], [10, 1]], 209/358318080], [[[1, 6], [2, 3], [3, 3], [6, 1], [8, 1], [12, 1]], 54901/8599633920], [[[1, 6], [2, 3], [3, 3], [6, 1], [10, 1], [12, 1]], 14803/10749542400], [[[1, 6], [2, 3], [3, 4], [4, 1], [5, 1], [6, 1]], 845153/429981696000], [[[1, 6], [2, 3], [3, 4], [4, 1], [6, 1], [8, 1]], 2294101/1375941427200], [[[1, 6], [2, 3], [3, 4], [4, 1], [6, 1], [10, 1]], 28217/107495424000], [[[1, 6], [2, 3], [3, 4], [4, 1], [6, 1], [12, 1]], 587309/257989017600], [[[1, 6], [2, 3], [4, 1], [5, 1], [6, 1], [8, 2]], 5449/530841600], [[[1, 6], [2, 3], [4, 1], [5, 1], [6, 1], [10, 2]], 3649/1658880000], [[[1, 6], [2, 3], [4, 1], [5, 1], [6, 1], [12, 2]], 3457/796262400], [[[1, 6], [2, 3], [4, 1], [5, 1], [6, 1], [15, 1]], 193/82944000], [[[1, 6], [2, 3], [4, 1], [5, 1], [6, 1], [20, 1]], 193/55296000], [[[1, 6], [2, 3], [4, 1], [5, 1], [6, 1], [24, 1]], 193/66355200], [[[1, 6], [2, 3], [4, 1], [5, 1], [6, 1], [30, 1]], 193/82944000], [[[1, 6], [2, 3], [4, 1], [5, 1], [6, 2], [7, 1]], 1/645120], [[[1, 6], [2, 3], [4, 1], [5, 1], [6, 2], [9, 1]], 1/2488320], [[[1, 6], [2, 3], [4, 1], [5, 1], [6, 2], [18, 1]], 193/149299200], [[[1, 6], [2, 3], [4, 1], [5, 1], [6, 3], [8, 1]], 17/88473600], [[[1, 6], [2, 3], [4, 1], [5, 1], [6, 3], [10, 1]], 17/373248000], [[[1, 6], [2, 3], [4, 1], [5, 1], [6, 3], [12, 1]], 2281/7166361600], [[[1, 6], [2, 3], [4, 1], [5, 1], [7, 1], [8, 1]], 41/716800], [[[1, 6], [2, 3], [4, 1], [5, 1], [7, 1], [10, 1]], 251/2688000], [[[1, 6], [2, 3], [4, 1], [5, 1], [7, 1], [12, 1]], 1/44800], [[[1, 6], [2, 3], [4, 1], [5, 1], [8, 1], [9, 1]], 49/2073600], [[[1, 6], [2, 3], [4, 1], [5, 1], [8, 1], [14, 1]], 167/8601600], [[[1, 6], [2, 3], [4, 1], [5, 1], [8, 1], [18, 1]], 17/1228800], [[[1, 6], [2, 3], [4, 1], [5, 1], [9, 1], [10, 1]], 91/3456000], [[[1, 6], [2, 3], [4, 1], [5, 1], [9, 1], [12, 1]], 29/3110400], [[[1, 6], [2, 3], [4, 1], [5, 1], [10, 1], [14, 1]], 1/224000], [[[1, 6], [2, 3], [4, 1], [5, 1], [10, 1], [18, 1]], 17/5184000], [[[1, 6], [2, 3], [4, 1], [5, 1], [12, 1], [14, 1]], 1/134400], [[[1, 6], [2, 3], [4, 1], [5, 1], [12, 1], [18, 1]], 17/3110400], [[[1, 6], [2, 3], [4, 1], [5, 2], [6, 1], [8, 1]], 4391/1769472000], [[[1, 6], [2, 3], [4, 1], [5, 2], [6, 1], [10, 1]], 881/414720000], [[[1, 6], [2, 3], [4, 1], [5, 2], [6, 1], [12, 1]], 2477/995328000], [[[1, 6], [2, 3], [4, 1], [6, 1], [7, 1], [9, 1]], 5/435456], [[[1, 6], [2, 3], [4, 1], [6, 1], [7, 1], [14, 1]], 145/5419008], [[[1, 6], [2, 3], [4, 1], [6, 1], [7, 1], [18, 1]], 1313/139345920], [[[1, 6], [2, 3], [4, 1], [6, 1], [8, 1], [10, 2]], 2567/1769472000], [[[1, 6], [2, 3], [4, 1], [6, 1], [8, 1], [12, 2]], 1127/849346560], [[[1, 6], [2, 3], [4, 1], [6, 1], [8, 1], [15, 1]], 167/88473600], [[[1, 6], [2, 3], [4, 1], [6, 1], [8, 1], [16, 1]], 11/1769472], [[[1, 6], [2, 3], [4, 1], [6, 1], [8, 1], [20, 1]], 661/176947200], [[[1, 6], [2, 3], [4, 1], [6, 1], [8, 1], [24, 1]], 821/212336640], [[[1, 6], [2, 3], [4, 1], [6, 1], [8, 1], [30, 1]], 167/88473600], [[[1, 6], [2, 3], [4, 1], [6, 1], [8, 2], [10, 1]], 647/132710400], [[[1, 6], [2, 3], [4, 1], [6, 1], [8, 2], [12, 1]], 1559/318504960], [[[1, 6], [2, 3], [4, 1], [6, 1], [9, 1], [14, 1]], 11/3483648], [[[1, 6], [2, 3], [4, 1], [6, 1], [9, 1], [18, 1]], 4379/537477120], [[[1, 6], [2, 3], [4, 1], [6, 1], [10, 1], [12, 2]], 17/199065600], [[[1, 6], [2, 3], [4, 1], [6, 1], [10, 1], [15, 1]], 17/20736000], [[[1, 6], [2, 3], [4, 1], [6, 1], [10, 1], [20, 1]], 17/13824000], [[[1, 6], [2, 3], [4, 1], [6, 1], [10, 1], [24, 1]], 17/16588800], [[[1, 6], [2, 3], [4, 1], [6, 1], [10, 1], [30, 1]], 17/20736000], [[[1, 6], [2, 3], [4, 1], [6, 1], [10, 2], [12, 1]], 29/995328000], [[[1, 6], [2, 3], [4, 1], [6, 1], [12, 1], [15, 1]], 29/49766400], [[[1, 6], [2, 3], [4, 1], [6, 1], [12, 1], [16, 1]], 1/1327104], [[[1, 6], [2, 3], [4, 1], [6, 1], [12, 1], [20, 1]], 49/33177600], [[[1, 6], [2, 3], [4, 1], [6, 1], [12, 1], [24, 1]], 59/39813120], [[[1, 6], [2, 3], [4, 1], [6, 1], [12, 1], [30, 1]], 29/49766400], [[[1, 6], [2, 3], [4, 1], [6, 1], [14, 1], [18, 1]], 31/23224320], [[[1, 6], [2, 3], [4, 1], [6, 2], [7, 1], [8, 1]], 5/442368], [[[1, 6], [2, 3], [4, 1], [6, 2], [7, 1], [10, 1]], 1/161280], [[[1, 6], [2, 3], [4, 1], [6, 2], [7, 1], [12, 1]], 6233/743178240], [[[1, 6], [2, 3], [4, 1], [6, 2], [8, 1], [9, 1]], 7/1990656], [[[1, 6], [2, 3], [4, 1], [6, 2], [8, 1], [14, 1]], 1/884736], [[[1, 6], [2, 3], [4, 1], [6, 2], [8, 1], [18, 1]], 307/159252480], [[[1, 6], [2, 3], [4, 1], [6, 2], [9, 1], [10, 1]], 7/3732480], [[[1, 6], [2, 3], [4, 1], [6, 2], [9, 1], [12, 1]], 7319/2866544640], [[[1, 6], [2, 3], [4, 1], [6, 2], [10, 1], [14, 1]], 1/1935360], [[[1, 6], [2, 3], [4, 1], [6, 2], [10, 1], [18, 1]], 1/1166400], [[[1, 6], [2, 3], [4, 1], [6, 2], [12, 1], [14, 1]], 13/17694720], [[[1, 6], [2, 3], [4, 1], [6, 2], [12, 1], [18, 1]], 1/1119744], [[[1, 6], [2, 3], [4, 1], [6, 3], [8, 1], [10, 1]], 89/159252480], [[[1, 6], [2, 3], [4, 1], [6, 3], [8, 1], [12, 1]], 6703/7644119040], [[[1, 6], [2, 3], [4, 1], [6, 3], [10, 1], [12, 1]], 77/199065600], [[[1, 6], [2, 3], [4, 1], [7, 1], [8, 1], [10, 1]], 9/286720], [[[1, 6], [2, 3], [4, 1], [7, 1], [8, 1], [12, 1]], 1/32256], [[[1, 6], [2, 3], [4, 1], [7, 1], [10, 1], [12, 1]], 1/107520], [[[1, 6], [2, 3], [4, 1], [8, 1], [9, 1], [10, 1]], 1/103680], [[[1, 6], [2, 3], [4, 1], [8, 1], [9, 1], [12, 1]], 1/110592], [[[1, 6], [2, 3], [4, 1], [8, 1], [10, 1], [14, 1]], 1/344064], [[[1, 6], [2, 3], [4, 1], [8, 1], [10, 1], [18, 1]], 1/442368], [[[1, 6], [2, 3], [4, 1], [8, 1], [12, 1], [14, 1]], 1/516096], [[[1, 6], [2, 3], [4, 1], [8, 1], [12, 1], [18, 1]], 1/663552], [[[1, 6], [2, 3], [4, 1], [9, 1], [10, 1], [12, 1]], 1/414720], [[[1, 6], [2, 3], [4, 2], [5, 1], [6, 1], [7, 1]], 1/153600], [[[1, 6], [2, 3], [4, 2], [5, 1], [6, 1], [9, 1]], 157/74649600], [[[1, 6], [2, 3], [4, 2], [5, 1], [6, 1], [14, 1]], 31/38707200], [[[1, 6], [2, 3], [4, 2], [5, 1], [6, 1], [18, 1]], 1451/796262400], [[[1, 6], [2, 3], [4, 2], [5, 1], [6, 2], [8, 1]], 107/132710400], [[[1, 6], [2, 3], [4, 2], [5, 1], [6, 2], [10, 1]], 31/82944000], [[[1, 6], [2, 3], [4, 2], [5, 1], [6, 2], [12, 1]], 35411/38220595200], [[[1, 6], [2, 3], [4, 2], [5, 1], [8, 1], [10, 1]], 283/6144000], [[[1, 6], [2, 3], [4, 2], [5, 1], [8, 1], [12, 1]], 299/6635520], [[[1, 6], [2, 3], [4, 2], [5, 1], [10, 1], [12, 1]], 233/41472000], [[[1, 6], [2, 3], [4, 2], [6, 1], [7, 1], [8, 1]], 1355/49545216], [[[1, 6], [2, 3], [4, 2], [6, 1], [7, 1], [10, 1]], 13/1376256], [[[1, 6], [2, 3], [4, 2], [6, 1], [7, 1], [12, 1]], 6557/445906944], [[[1, 6], [2, 3], [4, 2], [6, 1], [8, 1], [9, 1]], 1789/191102976], [[[1, 6], [2, 3], [4, 2], [6, 1], [8, 1], [14, 1]], 115/24772608], [[[1, 6], [2, 3], [4, 2], [6, 1], [8, 1], [18, 1]], 19843/3822059520], [[[1, 6], [2, 3], [4, 2], [6, 1], [9, 1], [10, 1]], 709/238878720], [[[1, 6], [2, 3], [4, 2], [6, 1], [9, 1], [12, 1]], 7981/1719926784], [[[1, 6], [2, 3], [4, 2], [6, 1], [10, 1], [14, 1]], 1/983040], [[[1, 6], [2, 3], [4, 2], [6, 1], [10, 1], [18, 1]], 2831/2388787200], [[[1, 6], [2, 3], [4, 2], [6, 1], [12, 1], [14, 1]], 103/63700992], [[[1, 6], [2, 3], [4, 2], [6, 1], [12, 1], [18, 1]], 1703/955514880], [[[1, 6], [2, 3], [4, 2], [6, 2], [8, 1], [10, 1]], 157/53084160], [[[1, 6], [2, 3], [4, 2], [6, 2], [8, 1], [12, 1]], 264809/61152952320], [[[1, 6], [2, 3], [4, 2], [6, 2], [10, 1], [12, 1]], 49003/38220595200], [[[1, 6], [2, 3], [4, 2], [8, 1], [10, 1], [12, 1]], 1/276480], [[[1, 6], [2, 3], [4, 3], [5, 1], [6, 1], [8, 1]], 1171/353894400], [[[1, 6], [2, 3], [4, 3], [5, 1], [6, 1], [10, 1]], 461/73728000], [[[1, 6], [2, 3], [4, 3], [5, 1], [6, 1], [12, 1]], 221/99532800], [[[1, 6], [2, 3], [4, 3], [6, 1], [8, 1], [10, 1]], 301/70778880], [[[1, 6], [2, 3], [4, 3], [6, 1], [8, 1], [12, 1]], 2269/188743680], [[[1, 6], [2, 3], [4, 3], [6, 1], [10, 1], [12, 1]], 169/99532800], [[[1, 6], [2, 3], [5, 1], [6, 1], [7, 1], [8, 1]], 1/89600], [[[1, 6], [2, 3], [5, 1], [6, 1], [7, 1], [10, 1]], 1/84000], [[[1, 6], [2, 3], [5, 1], [6, 1], [7, 1], [12, 1]], 1/80640], [[[1, 6], [2, 3], [5, 1], [6, 1], [8, 1], [9, 1]], 29/6220800], [[[1, 6], [2, 3], [5, 1], [6, 1], [8, 1], [14, 1]], 1/268800], [[[1, 6], [2, 3], [5, 1], [6, 1], [8, 1], [18, 1]], 19/4147200], [[[1, 6], [2, 3], [5, 1], [6, 1], [9, 1], [10, 1]], 1/216000], [[[1, 6], [2, 3], [5, 1], [6, 1], [9, 1], [12, 1]], 47/9331200], [[[1, 6], [2, 3], [5, 1], [6, 1], [10, 1], [14, 1]], 13/4032000], [[[1, 6], [2, 3], [5, 1], [6, 1], [10, 1], [18, 1]], 109/31104000], [[[1, 6], [2, 3], [5, 1], [6, 1], [12, 1], [14, 1]], 37/9676800], [[[1, 6], [2, 3], [5, 1], [6, 1], [12, 1], [18, 1]], 7/2488320], [[[1, 6], [2, 3], [5, 1], [6, 2], [8, 1], [10, 1]], 1/576000], [[[1, 6], [2, 3], [5, 1], [6, 2], [8, 1], [12, 1]], 53/22118400], [[[1, 6], [2, 3], [5, 1], [6, 2], [10, 1], [12, 1]], 331/165888000], [[[1, 6], [2, 3], [6, 1], [7, 1], [8, 1], [10, 1]], 1/86016], [[[1, 6], [2, 3], [6, 1], [7, 1], [8, 1], [12, 1]], 25/3096576], [[[1, 6], [2, 3], [6, 1], [7, 1], [10, 1], [12, 1]], 1/215040], [[[1, 6], [2, 3], [6, 1], [8, 1], [9, 1], [10, 1]], 17/4976640], [[[1, 6], [2, 3], [6, 1], [8, 1], [9, 1], [12, 1]], 31/11943936], [[[1, 6], [2, 3], [6, 1], [8, 1], [10, 1], [14, 1]], 1/1290240], [[[1, 6], [2, 3], [6, 1], [8, 1], [10, 1], [18, 1]], 1/1105920], [[[1, 6], [2, 3], [6, 1], [8, 1], [12, 1], [14, 1]], 1/1032192], [[[1, 6], [2, 3], [6, 1], [8, 1], [12, 1], [18, 1]], 1/1327104], [[[1, 6], [2, 3], [6, 1], [9, 1], [10, 1], [12, 1]], 1/829440], [[[1, 6], [2, 3], [6, 2], [8, 1], [10, 1], [12, 1]], 1/1966080], [[[1, 6], [2, 5], [3, 1], [4, 1], [5, 1], [6, 3]], 185707/42998169600], [[[1, 6], [2, 5], [3, 1], [4, 1], [5, 1], [7, 1]], 2407/154828800], [[[1, 6], [2, 5], [3, 1], [4, 1], [5, 1], [9, 1]], 243077/23887872000], [[[1, 6], [2, 5], [3, 1], [4, 1], [5, 1], [14, 1]], 2453/154828800], [[[1, 6], [2, 5], [3, 1], [4, 1], [5, 1], [18, 1]], 5461/597196800], [[[1, 6], [2, 5], [3, 1], [4, 1], [5, 2], [6, 1]], 20339/1274019840], [[[1, 6], [2, 5], [3, 1], [4, 1], [6, 1], [8, 2]], 149743/2038431744], [[[1, 6], [2, 5], [3, 1], [4, 1], [6, 1], [10, 2]], 326267/31850496000], [[[1, 6], [2, 5], [3, 1], [4, 1], [6, 1], [12, 2]], 100847/15288238080], [[[1, 6], [2, 5], [3, 1], [4, 1], [6, 1], [15, 1]], 8699/1592524800], [[[1, 6], [2, 5], [3, 1], [4, 1], [6, 1], [16, 1]], 1009/42467328], [[[1, 6], [2, 5], [3, 1], [4, 1], [6, 1], [20, 1]], 8699/1061683200], [[[1, 6], [2, 5], [3, 1], [4, 1], [6, 1], [24, 1]], 22169/1274019840], [[[1, 6], [2, 5], [3, 1], [4, 1], [6, 1], [30, 1]], 8699/1592524800], [[[1, 6], [2, 5], [3, 1], [4, 1], [6, 2], [7, 1]], 50453/2229534720], [[[1, 6], [2, 5], [3, 1], [4, 1], [6, 2], [9, 1]], 100027/8599633920], [[[1, 6], [2, 5], [3, 1], [4, 1], [6, 2], [14, 1]], 3271/247726080], [[[1, 6], [2, 5], [3, 1], [4, 1], [6, 2], [18, 1]], 11/933120], [[[1, 6], [2, 5], [3, 1], [4, 1], [6, 3], [8, 1]], 1458431/77396705280], [[[1, 6], [2, 5], [3, 1], [4, 1], [6, 3], [10, 1]], 75817/8599633920], [[[1, 6], [2, 5], [3, 1], [4, 1], [6, 3], [12, 1]], 781289/45864714240], [[[1, 6], [2, 5], [3, 1], [4, 1], [7, 1], [8, 1]], 211/10321920], [[[1, 6], [2, 5], [3, 1], [4, 1], [7, 1], [10, 1]], 881/77414400], [[[1, 6], [2, 5], [3, 1], [4, 1], [7, 1], [12, 1]], 3053/371589120], [[[1, 6], [2, 5], [3, 1], [4, 1], [8, 1], [9, 1]], 38365/3057647616], [[[1, 6], [2, 5], [3, 1], [4, 1], [8, 1], [14, 1]], 1091/69672960], [[[1, 6], [2, 5], [3, 1], [4, 1], [8, 1], [18, 1]], 42467/4299816960], [[[1, 6], [2, 5], [3, 1], [4, 1], [9, 1], [10, 1]], 156437/23887872000], [[[1, 6], [2, 5], [3, 1], [4, 1], [9, 1], [12, 1]], 13231/2866544640], [[[1, 6], [2, 5], [3, 1], [4, 1], [10, 1], [14, 1]], 17/2419200], [[[1, 6], [2, 5], [3, 1], [4, 1], [10, 1], [18, 1]], 173/37324800], [[[1, 6], [2, 5], [3, 1], [4, 1], [12, 1], [14, 1]], 2431/371589120], [[[1, 6], [2, 5], [3, 1], [4, 1], [12, 1], [18, 1]], 1957/477757440], [[[1, 6], [2, 5], [3, 1], [4, 2], [5, 1], [6, 2]], 714649/57330892800], [[[1, 6], [2, 5], [3, 1], [4, 2], [5, 1], [8, 1]], 47687/1061683200], [[[1, 6], [2, 5], [3, 1], [4, 2], [5, 1], [10, 1]], 3719/69120000], [[[1, 6], [2, 5], [3, 1], [4, 2], [5, 1], [12, 1]], 165251/9555148800], [[[1, 6], [2, 5], [3, 1], [4, 2], [6, 1], [7, 1]], 42173/1114767360], [[[1, 6], [2, 5], [3, 1], [4, 2], [6, 1], [9, 1]], 703921/34398535680], [[[1, 6], [2, 5], [3, 1], [4, 2], [6, 1], [14, 1]], 44741/2006581248], [[[1, 6], [2, 5], [3, 1], [4, 2], [6, 1], [18, 1]], 10295999/619173642240], [[[1, 6], [2, 5], [3, 1], [4, 2], [6, 2], [8, 1]], 574237/9172942848], [[[1, 6], [2, 5], [3, 1], [4, 2], [6, 2], [10, 1]], 3310757/171992678400], [[[1, 6], [2, 5], [3, 1], [4, 2], [6, 2], [12, 1]], 1801280983/29720334827520], [[[1, 6], [2, 5], [3, 1], [4, 2], [8, 1], [10, 1]], 8567/424673280], [[[1, 6], [2, 5], [3, 1], [4, 2], [8, 1], [12, 1]], 43813/955514880], [[[1, 6], [2, 5], [3, 1], [4, 2], [10, 1], [12, 1]], 4503131/429981696000], [[[1, 6], [2, 5], [3, 1], [4, 3], [5, 1], [6, 1]], 42817/1592524800], [[[1, 6], [2, 5], [3, 1], [4, 3], [6, 1], [8, 1]], 5776759/45864714240], [[[1, 6], [2, 5], [3, 1], [4, 3], [6, 1], [10, 1]], 17573/796262400], [[[1, 6], [2, 5], [3, 1], [4, 3], [6, 1], [12, 1]], 375049/3822059520], [[[1, 6], [2, 5], [3, 1], [5, 1], [6, 1], [7, 1]], 937/38707200], [[[1, 6], [2, 5], [3, 1], [5, 1], [6, 1], [9, 1]], 63359/4478976000], [[[1, 6], [2, 5], [3, 1], [5, 1], [6, 1], [14, 1]], 859/38707200], [[[1, 6], [2, 5], [3, 1], [5, 1], [6, 1], [18, 1]], 16379/1194393600], [[[1, 6], [2, 5], [3, 1], [5, 1], [6, 2], [8, 1]], 27769/2388787200], [[[1, 6], [2, 5], [3, 1], [5, 1], [6, 2], [10, 1]], 2923/138240000], [[[1, 6], [2, 5], [3, 1], [5, 1], [6, 2], [12, 1]], 648011/57330892800], [[[1, 6], [2, 5], [3, 1], [5, 1], [8, 1], [10, 1]], 403/30720000], [[[1, 6], [2, 5], [3, 1], [5, 1], [8, 1], [12, 1]], 643/132710400], [[[1, 6], [2, 5], [3, 1], [5, 1], [10, 1], [12, 1]], 181/17280000], [[[1, 6], [2, 5], [3, 1], [6, 1], [7, 1], [8, 1]], 247/9289728], [[[1, 6], [2, 5], [3, 1], [6, 1], [7, 1], [10, 1]], 937/38707200], [[[1, 6], [2, 5], [3, 1], [6, 1], [7, 1], [12, 1]], 589/139345920], [[[1, 6], [2, 5], [3, 1], [6, 1], [8, 1], [9, 1]], 1805/127401984], [[[1, 6], [2, 5], [3, 1], [6, 1], [8, 1], [14, 1]], 401/23224320], [[[1, 6], [2, 5], [3, 1], [6, 1], [8, 1], [18, 1]], 13597/1146617856], [[[1, 6], [2, 5], [3, 1], [6, 1], [9, 1], [10, 1]], 5569/477757440], [[[1, 6], [2, 5], [3, 1], [6, 1], [9, 1], [12, 1]], 38497/17199267840], [[[1, 6], [2, 5], [3, 1], [6, 1], [10, 1], [14, 1]], 12259/1045094400], [[[1, 6], [2, 5], [3, 1], [6, 1], [10, 1], [18, 1]], 343757/40310784000], [[[1, 6], [2, 5], [3, 1], [6, 1], [12, 1], [14, 1]], 109/39191040], [[[1, 6], [2, 5], [3, 1], [6, 1], [12, 1], [18, 1]], 72517/38698352640], [[[1, 6], [2, 5], [3, 1], [6, 2], [8, 1], [10, 1]], 11377/796262400], [[[1, 6], [2, 5], [3, 1], [6, 2], [8, 1], [12, 1]], 945491/91729428480], [[[1, 6], [2, 5], [3, 1], [6, 2], [10, 1], [12, 1]], 1633487/214990848000], [[[1, 6], [2, 5], [3, 1], [8, 1], [10, 1], [12, 1]], 521/132710400], [[[1, 6], [2, 5], [3, 2], [4, 1], [5, 1], [6, 2]], 273177653/6879707136000], [[[1, 6], [2, 5], [3, 2], [4, 1], [5, 1], [8, 1]], 15217/796262400], [[[1, 6], [2, 5], [3, 2], [4, 1], [5, 1], [10, 1]], 1973/99532800], [[[1, 6], [2, 5], [3, 2], [4, 1], [5, 1], [12, 1]], 453359/42467328000], [[[1, 6], [2, 5], [3, 2], [4, 1], [6, 1], [7, 1]], 50453/2229534720], [[[1, 6], [2, 5], [3, 2], [4, 1], [6, 1], [9, 1]], 457/29859840], [[[1, 6], [2, 5], [3, 2], [4, 1], [6, 1], [14, 1]], 5707/318504960], [[[1, 6], [2, 5], [3, 2], [4, 1], [6, 1], [18, 1]], 100633/8599633920], [[[1, 6], [2, 5], [3, 2], [4, 1], [6, 2], [8, 1]], 99206629/880602513408], [[[1, 6], [2, 5], [3, 2], [4, 1], [6, 2], [10, 1]], 211349453/6879707136000], [[[1, 6], [2, 5], [3, 2], [4, 1], [6, 2], [12, 1]], 78734197/825564856320], [[[1, 6], [2, 5], [3, 2], [4, 1], [8, 1], [10, 1]], 6947/796262400], [[[1, 6], [2, 5], [3, 2], [4, 1], [8, 1], [12, 1]], 3538643/244611809280], [[[1, 6], [2, 5], [3, 2], [4, 1], [10, 1], [12, 1]], 2466191/382205952000], [[[1, 6], [2, 5], [3, 2], [4, 2], [5, 1], [6, 1]], 559301/19110297600], [[[1, 6], [2, 5], [3, 2], [4, 2], [6, 1], [8, 1]], 6838441/91729428480], [[[1, 6], [2, 5], [3, 2], [4, 2], [6, 1], [10, 1]], 48329/3583180800], [[[1, 6], [2, 5], [3, 2], [4, 2], [6, 1], [12, 1]], 128012117/1651129712640], [[[1, 6], [2, 5], [3, 2], [5, 1], [6, 1], [8, 1]], 161/7372800], [[[1, 6], [2, 5], [3, 2], [5, 1], [6, 1], [10, 1]], 20801/829440000], [[[1, 6], [2, 5], [3, 2], [5, 1], [6, 1], [12, 1]], 303509/23887872000], [[[1, 6], [2, 5], [3, 2], [6, 1], [8, 1], [10, 1]], 2557/298598400], [[[1, 6], [2, 5], [3, 2], [6, 1], [8, 1], [12, 1]], 1133723/91729428480], [[[1, 6], [2, 5], [3, 2], [6, 1], [10, 1], [12, 1]], 222649/22932357120], [[[1, 6], [2, 5], [3, 3], [4, 1], [5, 1], [6, 1]], 42013/2866544640], [[[1, 6], [2, 5], [3, 3], [4, 1], [6, 1], [8, 1]], 227491/8599633920], [[[1, 6], [2, 5], [3, 3], [4, 1], [6, 1], [10, 1]], 217861/42998169600], [[[1, 6], [2, 5], [3, 3], [4, 1], [6, 1], [12, 1]], 2096765/82556485632], [[[1, 6], [2, 5], [4, 1], [5, 1], [6, 1], [7, 1]], 881/77414400], [[[1, 6], [2, 5], [4, 1], [5, 1], [6, 1], [9, 1]], 601/99532800], [[[1, 6], [2, 5], [4, 1], [5, 1], [6, 1], [14, 1]], 109/12902400], [[[1, 6], [2, 5], [4, 1], [5, 1], [6, 1], [18, 1]], 152557/23887872000], [[[1, 6], [2, 5], [4, 1], [5, 1], [6, 2], [8, 1]], 251/29491200], [[[1, 6], [2, 5], [4, 1], [5, 1], [6, 2], [10, 1]], 401/31104000], [[[1, 6], [2, 5], [4, 1], [5, 1], [6, 2], [12, 1]], 2339911/382205952000], [[[1, 6], [2, 5], [4, 1], [5, 1], [8, 1], [10, 1]], 354497/4423680000], [[[1, 6], [2, 5], [4, 1], [5, 1], [8, 1], [12, 1]], 47/2764800], [[[1, 6], [2, 5], [4, 1], [5, 1], [10, 1], [12, 1]], 181/11520000], [[[1, 6], [2, 5], [4, 1], [6, 1], [7, 1], [8, 1]], 211/10321920], [[[1, 6], [2, 5], [4, 1], [6, 1], [7, 1], [10, 1]], 2407/154828800], [[[1, 6], [2, 5], [4, 1], [6, 1], [7, 1], [12, 1]], 3053/371589120], [[[1, 6], [2, 5], [4, 1], [6, 1], [8, 1], [9, 1]], 4817/477757440], [[[1, 6], [2, 5], [4, 1], [6, 1], [8, 1], [14, 1]], 199/17694720], [[[1, 6], [2, 5], [4, 1], [6, 1], [8, 1], [18, 1]], 46523/5096079360], [[[1, 6], [2, 5], [4, 1], [6, 1], [9, 1], [10, 1]], 4213/597196800], [[[1, 6], [2, 5], [4, 1], [6, 1], [9, 1], [12, 1]], 5719/1433272320], [[[1, 6], [2, 5], [4, 1], [6, 1], [10, 1], [14, 1]], 1039/154828800], [[[1, 6], [2, 5], [4, 1], [6, 1], [10, 1], [18, 1]], 132557/23887872000], [[[1, 6], [2, 5], [4, 1], [6, 1], [12, 1], [14, 1]], 313/74317824], [[[1, 6], [2, 5], [4, 1], [6, 1], [12, 1], [18, 1]], 8707/2866544640], [[[1, 6], [2, 5], [4, 1], [6, 2], [8, 1], [10, 1]], 173/16588800], [[[1, 6], [2, 5], [4, 1], [6, 2], [8, 1], [12, 1]], 88873/9059696640], [[[1, 6], [2, 5], [4, 1], [6, 2], [10, 1], [12, 1]], 678757/127401984000], [[[1, 6], [2, 5], [4, 1], [8, 1], [10, 1], [12, 1]], 47/4423680], [[[1, 6], [2, 5], [4, 2], [5, 1], [6, 1], [8, 1]], 15103/707788800], [[[1, 6], [2, 5], [4, 2], [5, 1], [6, 1], [10, 1]], 27473/663552000], [[[1, 6], [2, 5], [4, 2], [5, 1], [6, 1], [12, 1]], 534347/47775744000], [[[1, 6], [2, 5], [4, 2], [6, 1], [8, 1], [10, 1]], 59281/2123366400], [[[1, 6], [2, 5], [4, 2], [6, 1], [8, 1], [12, 1]], 553103/15288238080], [[[1, 6], [2, 5], [4, 2], [6, 1], [10, 1], [12, 1]], 100003/9555148800], [[[1, 6], [2, 5], [5, 1], [6, 1], [8, 1], [10, 1]], 439/34560000], [[[1, 6], [2, 5], [5, 1], [6, 1], [8, 1], [12, 1]], 31/6635520], [[[1, 6], [2, 5], [5, 1], [6, 1], [10, 1], [12, 1]], 3433/414720000], [[[1, 6], [2, 5], [6, 1], [8, 1], [10, 1], [12, 1]], 1/368640], [[[1, 6], [2, 7], [3, 1], [4, 1], [5, 1], [6, 2]], 27229757/3439853568000], [[[1, 6], [2, 7], [3, 1], [4, 1], [5, 1], [8, 1]], 652823/111476736000], [[[1, 6], [2, 7], [3, 1], [4, 1], [5, 1], [10, 1]], 99697/8847360000], [[[1, 6], [2, 7], [3, 1], [4, 1], [5, 1], [12, 1]], 99521/63700992000], [[[1, 6], [2, 7], [3, 1], [4, 1], [6, 1], [7, 1]], 20609/2675441664], [[[1, 6], [2, 7], [3, 1], [4, 1], [6, 1], [9, 1]], 5365009/1031956070400], [[[1, 6], [2, 7], [3, 1], [4, 1], [6, 1], [14, 1]], 8699/743178240], [[[1, 6], [2, 7], [3, 1], [4, 1], [6, 1], [18, 1]], 2133629/343985356800], [[[1, 6], [2, 7], [3, 1], [4, 1], [6, 2], [8, 1]], 87040511/4623163195392], [[[1, 6], [2, 7], [3, 1], [4, 1], [6, 2], [10, 1]], 15567223/1146617856000], [[[1, 6], [2, 7], [3, 1], [4, 1], [6, 2], [12, 1]], 201310781/16511297126400], [[[1, 6], [2, 7], [3, 1], [4, 1], [8, 1], [10, 1]], 1235297/191102976000], [[[1, 6], [2, 7], [3, 1], [4, 1], [8, 1], [12, 1]], 1468091/428070666240], [[[1, 6], [2, 7], [3, 1], [4, 1], [10, 1], [12, 1]], 155629/63700992000], [[[1, 6], [2, 7], [3, 1], [4, 2], [5, 1], [6, 1]], 22178437/1719926784000], [[[1, 6], [2, 7], [3, 1], [4, 2], [6, 1], [8, 1]], 6285599/137594142720], [[[1, 6], [2, 7], [3, 1], [4, 2], [6, 1], [10, 1]], 58162297/3439853568000], [[[1, 6], [2, 7], [3, 1], [4, 2], [6, 1], [12, 1]], 4869756583/222902511206400], [[[1, 6], [2, 7], [3, 1], [5, 1], [6, 1], [8, 1]], 1784611/286654464000], [[[1, 6], [2, 7], [3, 1], [5, 1], [6, 1], [10, 1]], 42061/2654208000], [[[1, 6], [2, 7], [3, 1], [5, 1], [6, 1], [12, 1]], 835411/859963392000], [[[1, 6], [2, 7], [3, 1], [6, 1], [8, 1], [10, 1]], 137441/15925248000], [[[1, 6], [2, 7], [3, 1], [6, 1], [8, 1], [12, 1]], 171157/137594142720], [[[1, 6], [2, 7], [3, 1], [6, 1], [10, 1], [12, 1]], 230749/171992678400], [[[1, 6], [2, 7], [3, 2], [4, 1], [5, 1], [6, 1]], 23031679/2579890176000], [[[1, 6], [2, 7], [3, 2], [4, 1], [6, 1], [8, 1]], 5219399/330225942528], [[[1, 6], [2, 7], [3, 2], [4, 1], [6, 1], [10, 1]], 22276777/2579890176000], [[[1, 6], [2, 7], [3, 2], [4, 1], [6, 1], [12, 1]], 472955501/49533891379200], [[[1, 6], [2, 7], [4, 1], [5, 1], [6, 1], [8, 1]], 358979/63700992000], [[[1, 6], [2, 7], [4, 1], [5, 1], [6, 1], [10, 1]], 1701049/119439360000], [[[1, 6], [2, 7], [4, 1], [5, 1], [6, 1], [12, 1]], 308159/143327232000], [[[1, 6], [2, 7], [4, 1], [6, 1], [8, 1], [10, 1]], 397519/42467328000], [[[1, 6], [2, 7], [4, 1], [6, 1], [8, 1], [12, 1]], 44597/10192158720], [[[1, 6], [2, 7], [4, 1], [6, 1], [10, 1], [12, 1]], 43037/15925248000], [[[1, 6], [2, 9], [3, 1], [4, 1], [5, 1], [6, 1]], 70406159/80263249920000], [[[1, 6], [2, 9], [3, 1], [4, 1], [6, 1], [8, 1]], 1293728293/693474479308800], [[[1, 6], [2, 9], [3, 1], [4, 1], [6, 1], [10, 1]], 14285119/6019743744000], [[[1, 6], [2, 9], [3, 1], [4, 1], [6, 1], [12, 1]], 48309403/115579079884800], [[[1, 7], [2, 2], [3, 1], [4, 1], [5, 1], [6, 4]], 7819/967458816000], [[[1, 7], [2, 2], [3, 1], [4, 1], [5, 1], [8, 2]], 1121/238878720], [[[1, 7], [2, 2], [3, 1], [4, 1], [5, 1], [10, 2]], 259/3732480000], [[[1, 7], [2, 2], [3, 1], [4, 1], [5, 1], [12, 2]], 3283/1791590400], [[[1, 7], [2, 2], [3, 1], [4, 1], [5, 1], [15, 1]], 259/186624000], [[[1, 7], [2, 2], [3, 1], [4, 1], [5, 1], [20, 1]], 259/124416000], [[[1, 7], [2, 2], [3, 1], [4, 1], [5, 1], [24, 1]], 259/149299200], [[[1, 7], [2, 2], [3, 1], [4, 1], [5, 1], [30, 1]], 259/186624000], [[[1, 7], [2, 2], [3, 1], [4, 1], [5, 2], [6, 2]], 359/1990656000], [[[1, 7], [2, 2], [3, 1], [4, 1], [5, 2], [8, 1]], 444503/47775744000], [[[1, 7], [2, 2], [3, 1], [4, 1], [5, 2], [10, 1]], 31141/14929920000], [[[1, 7], [2, 2], [3, 1], [4, 1], [5, 2], [12, 1]], 20147/4478976000], [[[1, 7], [2, 2], [3, 1], [4, 1], [6, 2], [8, 2]], 533/637009920], [[[1, 7], [2, 2], [3, 1], [4, 1], [6, 2], [10, 2]], 23/1990656000], [[[1, 7], [2, 2], [3, 1], [4, 1], [6, 2], [12, 2]], 1523/8599633920], [[[1, 7], [2, 2], [3, 1], [4, 1], [6, 2], [15, 1]], 23/99532800], [[[1, 7], [2, 2], [3, 1], [4, 1], [6, 2], [20, 1]], 23/66355200], [[[1, 7], [2, 2], [3, 1], [4, 1], [6, 2], [24, 1]], 23/79626240], [[[1, 7], [2, 2], [3, 1], [4, 1], [6, 2], [30, 1]], 23/99532800], [[[1, 7], [2, 2], [3, 1], [4, 1], [6, 3], [7, 1]], 1/2322432], [[[1, 7], [2, 2], [3, 1], [4, 1], [6, 3], [9, 1]], 187/1433272320], [[[1, 7], [2, 2], [3, 1], [4, 1], [6, 3], [14, 1]], 1/27869184], [[[1, 7], [2, 2], [3, 1], [4, 1], [6, 3], [18, 1]], 7/44789760], [[[1, 7], [2, 2], [3, 1], [4, 1], [6, 4], [8, 1]], 584471/12383472844800], [[[1, 7], [2, 2], [3, 1], [4, 1], [6, 4], [10, 1]], 64837/3869835264000], [[[1, 7], [2, 2], [3, 1], [4, 1], [6, 4], [12, 1]], 13751/290237644800], [[[1, 7], [2, 2], [3, 1], [4, 1], [7, 1], [9, 1]], 151/23224320], [[[1, 7], [2, 2], [3, 1], [4, 1], [7, 1], [14, 1]], 1069/243855360], [[[1, 7], [2, 2], [3, 1], [4, 1], [7, 1], [18, 1]], 1/387072], [[[1, 7], [2, 2], [3, 1], [4, 1], [8, 1], [10, 2]], 1271/47775744000], [[[1, 7], [2, 2], [3, 1], [4, 1], [8, 1], [12, 2]], 9911/22932357120], [[[1, 7], [2, 2], [3, 1], [4, 1], [8, 1], [15, 1]], 1271/2388787200], [[[1, 7], [2, 2], [3, 1], [4, 1], [8, 1], [16, 1]], 37/15925248], [[[1, 7], [2, 2], [3, 1], [4, 1], [8, 1], [20, 1]], 491/318504960], [[[1, 7], [2, 2], [3, 1], [4, 1], [8, 1], [24, 1]], 1213/637009920], [[[1, 7], [2, 2], [3, 1], [4, 1], [8, 1], [30, 1]], 1271/2388787200], [[[1, 7], [2, 2], [3, 1], [4, 1], [8, 2], [10, 1]], 37/4777574400], [[[1, 7], [2, 2], [3, 1], [4, 1], [8, 2], [12, 1]], 521/358318080], [[[1, 7], [2, 2], [3, 1], [4, 1], [9, 1], [14, 1]], 41/46448640], [[[1, 7], [2, 2], [3, 1], [4, 1], [9, 1], [18, 1]], 271/179159040], [[[1, 7], [2, 2], [3, 1], [4, 1], [10, 1], [12, 2]], 37/7166361600], [[[1, 7], [2, 2], [3, 1], [4, 1], [10, 1], [15, 1]], 37/746496000], [[[1, 7], [2, 2], [3, 1], [4, 1], [10, 1], [20, 1]], 37/497664000], [[[1, 7], [2, 2], [3, 1], [4, 1], [10, 1], [24, 1]], 37/597196800], [[[1, 7], [2, 2], [3, 1], [4, 1], [10, 1], [30, 1]], 37/746496000], [[[1, 7], [2, 2], [3, 1], [4, 1], [10, 2], [12, 1]], 59/4478976000], [[[1, 7], [2, 2], [3, 1], [4, 1], [12, 1], [15, 1]], 59/223948800], [[[1, 7], [2, 2], [3, 1], [4, 1], [12, 1], [16, 1]], 37/59719680], [[[1, 7], [2, 2], [3, 1], [4, 1], [12, 1], [20, 1]], 133/149299200], [[[1, 7], [2, 2], [3, 1], [4, 1], [12, 1], [24, 1]], 17/17915904], [[[1, 7], [2, 2], [3, 1], [4, 1], [12, 1], [30, 1]], 59/223948800], [[[1, 7], [2, 2], [3, 1], [4, 2], [5, 1], [6, 3]], 2719/85996339200], [[[1, 7], [2, 2], [3, 1], [4, 2], [5, 1], [7, 1]], 671/103219200], [[[1, 7], [2, 2], [3, 1], [4, 2], [5, 1], [9, 1]], 557/265420800], [[[1, 7], [2, 2], [3, 1], [4, 2], [5, 1], [14, 1]], 19/34406400], [[[1, 7], [2, 2], [3, 1], [4, 2], [5, 1], [18, 1]], 487/1194393600], [[[1, 7], [2, 2], [3, 1], [4, 2], [5, 2], [6, 1]], 228863/429981696000], [[[1, 7], [2, 2], [3, 1], [4, 2], [6, 1], [8, 2]], 478991/137594142720], [[[1, 7], [2, 2], [3, 1], [4, 2], [6, 1], [10, 2]], 5951/429981696000], [[[1, 7], [2, 2], [3, 1], [4, 2], [6, 1], [12, 2]], 90949/206391214080], [[[1, 7], [2, 2], [3, 1], [4, 2], [6, 1], [15, 1]], 5951/21499084800], [[[1, 7], [2, 2], [3, 1], [4, 2], [6, 1], [16, 1]], 1/2949120], [[[1, 7], [2, 2], [3, 1], [4, 2], [6, 1], [20, 1]], 5951/14332723200], [[[1, 7], [2, 2], [3, 1], [4, 2], [6, 1], [24, 1]], 13403/17199267840], [[[1, 7], [2, 2], [3, 1], [4, 2], [6, 1], [30, 1]], 5951/21499084800], [[[1, 7], [2, 2], [3, 1], [4, 2], [6, 2], [7, 1]], 709/891813888], [[[1, 7], [2, 2], [3, 1], [4, 2], [6, 2], [9, 1]], 265/1146617856], [[[1, 7], [2, 2], [3, 1], [4, 2], [6, 2], [14, 1]], 17/891813888], [[[1, 7], [2, 2], [3, 1], [4, 2], [6, 2], [18, 1]], 26009/154793410560], [[[1, 7], [2, 2], [3, 1], [4, 2], [6, 3], [8, 1]], 809/4586471424], [[[1, 7], [2, 2], [3, 1], [4, 2], [6, 3], [10, 1]], 13/382205952], [[[1, 7], [2, 2], [3, 1], [4, 2], [6, 3], [12, 1]], 468379/5572562780160], [[[1, 7], [2, 2], [3, 1], [4, 2], [7, 1], [8, 1]], 275/24772608], [[[1, 7], [2, 2], [3, 1], [4, 2], [7, 1], [10, 1]], 1/368640], [[[1, 7], [2, 2], [3, 1], [4, 2], [7, 1], [12, 1]], 16309/2866544640], [[[1, 7], [2, 2], [3, 1], [4, 2], [8, 1], [9, 1]], 1477/424673280], [[[1, 7], [2, 2], [3, 1], [4, 2], [8, 1], [14, 1]], 41/49545216], [[[1, 7], [2, 2], [3, 1], [4, 2], [8, 1], [18, 1]], 41/63700992], [[[1, 7], [2, 2], [3, 1], [4, 2], [9, 1], [10, 1]], 577/796262400], [[[1, 7], [2, 2], [3, 1], [4, 2], [9, 1], [12, 1]], 283889/180592312320], [[[1, 7], [2, 2], [3, 1], [4, 2], [12, 1], [14, 1]], 2903/20065812480], [[[1, 7], [2, 2], [3, 1], [4, 2], [12, 1], [18, 1]], 8407/77396705280], [[[1, 7], [2, 2], [3, 1], [4, 3], [5, 1], [6, 2]], 17/796262400], [[[1, 7], [2, 2], [3, 1], [4, 3], [5, 1], [8, 1]], 901/353894400], [[[1, 7], [2, 2], [3, 1], [4, 3], [5, 1], [10, 1]], 79/221184000], [[[1, 7], [2, 2], [3, 1], [4, 3], [5, 1], [12, 1]], 583/447897600], [[[1, 7], [2, 2], [3, 1], [4, 3], [6, 1], [7, 1]], 29/37158912], [[[1, 7], [2, 2], [3, 1], [4, 3], [6, 1], [9, 1]], 97/382205952], [[[1, 7], [2, 2], [3, 1], [4, 3], [6, 1], [14, 1]], 5/74317824], [[[1, 7], [2, 2], [3, 1], [4, 3], [6, 1], [18, 1]], 5933/51597803520], [[[1, 7], [2, 2], [3, 1], [4, 3], [6, 2], [8, 1]], 511/2038431744], [[[1, 7], [2, 2], [3, 1], [4, 3], [6, 2], [10, 1]], 7/159252480], [[[1, 7], [2, 2], [3, 1], [4, 3], [6, 2], [12, 1]], 46289/275188285440], [[[1, 7], [2, 2], [3, 1], [4, 3], [8, 1], [10, 1]], 47/70778880], [[[1, 7], [2, 2], [3, 1], [4, 3], [8, 1], [12, 1]], 87337/45864714240], [[[1, 7], [2, 2], [3, 1], [4, 3], [10, 1], [12, 1]], 43/447897600], [[[1, 7], [2, 2], [3, 1], [4, 4], [5, 1], [6, 1]], 163/1528823808], [[[1, 7], [2, 2], [3, 1], [4, 4], [6, 1], [8, 1]], 668287/1375941427200], [[[1, 7], [2, 2], [3, 1], [4, 4], [6, 1], [10, 1]], 49969/859963392000], [[[1, 7], [2, 2], [3, 1], [4, 4], [6, 1], [12, 1]], 2909747/4127824281600], [[[1, 7], [2, 2], [3, 1], [5, 1], [6, 1], [8, 2]], 977/796262400], [[[1, 7], [2, 2], [3, 1], [5, 1], [6, 1], [10, 2]], 37/497664000], [[[1, 7], [2, 2], [3, 1], [5, 1], [6, 1], [12, 2]], 301/238878720], [[[1, 7], [2, 2], [3, 1], [5, 1], [6, 1], [15, 1]], 37/24883200], [[[1, 7], [2, 2], [3, 1], [5, 1], [6, 1], [20, 1]], 37/16588800], [[[1, 7], [2, 2], [3, 1], [5, 1], [6, 1], [24, 1]], 329/99532800], [[[1, 7], [2, 2], [3, 1], [5, 1], [6, 1], [30, 1]], 37/24883200], [[[1, 7], [2, 2], [3, 1], [5, 1], [6, 2], [7, 1]], 11/4838400], [[[1, 7], [2, 2], [3, 1], [5, 1], [6, 2], [9, 1]], 83/111974400], [[[1, 7], [2, 2], [3, 1], [5, 1], [6, 2], [14, 1]], 1/3870720], [[[1, 7], [2, 2], [3, 1], [5, 1], [6, 2], [18, 1]], 19/18662400], [[[1, 7], [2, 2], [3, 1], [5, 1], [6, 3], [8, 1]], 91/597196800], [[[1, 7], [2, 2], [3, 1], [5, 1], [6, 3], [10, 1]], 1/8294400], [[[1, 7], [2, 2], [3, 1], [5, 1], [6, 3], [12, 1]], 677/2149908480], [[[1, 7], [2, 2], [3, 1], [5, 1], [7, 1], [8, 1]], 23/2150400], [[[1, 7], [2, 2], [3, 1], [5, 1], [7, 1], [10, 1]], 1/268800], [[[1, 7], [2, 2], [3, 1], [5, 1], [7, 1], [12, 1]], 1/134400], [[[1, 7], [2, 2], [3, 1], [5, 1], [8, 1], [9, 1]], 61/16588800], [[[1, 7], [2, 2], [3, 1], [5, 1], [8, 1], [14, 1]], 1/921600], [[[1, 7], [2, 2], [3, 1], [5, 1], [8, 1], [18, 1]], 7/8294400], [[[1, 7], [2, 2], [3, 1], [5, 1], [9, 1], [10, 1]], 11/10368000], [[[1, 7], [2, 2], [3, 1], [5, 1], [9, 1], [12, 1]], 1/373248], [[[1, 7], [2, 2], [3, 1], [5, 1], [12, 1], [14, 1]], 1/645120], [[[1, 7], [2, 2], [3, 1], [5, 1], [12, 1], [18, 1]], 43/37324800], [[[1, 7], [2, 2], [3, 1], [5, 2], [6, 1], [8, 1]], 31411/17915904000], [[[1, 7], [2, 2], [3, 1], [5, 2], [6, 1], [10, 1]], 55747/11197440000], [[[1, 7], [2, 2], [3, 1], [5, 2], [6, 1], [12, 1]], 96061/53747712000], [[[1, 7], [2, 2], [3, 1], [6, 1], [7, 1], [9, 1]], 31/2985984], [[[1, 7], [2, 2], [3, 1], [6, 1], [7, 1], [14, 1]], 1/225792], [[[1, 7], [2, 2], [3, 1], [6, 1], [7, 1], [18, 1]], 3583/940584960], [[[1, 7], [2, 2], [3, 1], [6, 1], [8, 1], [10, 2]], 307/17915904000], [[[1, 7], [2, 2], [3, 1], [6, 1], [8, 1], [12, 2]], 1927/8599633920], [[[1, 7], [2, 2], [3, 1], [6, 1], [8, 1], [15, 1]], 307/895795200], [[[1, 7], [2, 2], [3, 1], [6, 1], [8, 1], [20, 1]], 307/597196800], [[[1, 7], [2, 2], [3, 1], [6, 1], [8, 1], [24, 1]], 307/716636160], [[[1, 7], [2, 2], [3, 1], [6, 1], [8, 1], [30, 1]], 307/895795200], [[[1, 7], [2, 2], [3, 1], [6, 1], [8, 2], [10, 1]], 19/3583180800], [[[1, 7], [2, 2], [3, 1], [6, 1], [8, 2], [12, 1]], 3397/17199267840], [[[1, 7], [2, 2], [3, 1], [6, 1], [9, 1], [14, 1]], 1/870912], [[[1, 7], [2, 2], [3, 1], [6, 1], [9, 1], [18, 1]], 2503/2418647040], [[[1, 7], [2, 2], [3, 1], [6, 1], [10, 1], [12, 2]], 19/5374771200], [[[1, 7], [2, 2], [3, 1], [6, 1], [10, 1], [15, 1]], 19/559872000], [[[1, 7], [2, 2], [3, 1], [6, 1], [10, 1], [20, 1]], 19/373248000], [[[1, 7], [2, 2], [3, 1], [6, 1], [10, 1], [24, 1]], 19/447897600], [[[1, 7], [2, 2], [3, 1], [6, 1], [10, 1], [30, 1]], 19/559872000], [[[1, 7], [2, 2], [3, 1], [6, 1], [10, 2], [12, 1]], 157/53747712000], [[[1, 7], [2, 2], [3, 1], [6, 1], [12, 1], [15, 1]], 157/2687385600], [[[1, 7], [2, 2], [3, 1], [6, 1], [12, 1], [20, 1]], 157/1791590400], [[[1, 7], [2, 2], [3, 1], [6, 1], [12, 1], [24, 1]], 157/2149908480], [[[1, 7], [2, 2], [3, 1], [6, 1], [12, 1], [30, 1]], 157/2687385600], [[[1, 7], [2, 2], [3, 1], [6, 1], [14, 1], [18, 1]], 19/470292480], [[[1, 7], [2, 2], [3, 1], [6, 2], [7, 1], [8, 1]], 59/18579456], [[[1, 7], [2, 2], [3, 1], [6, 2], [7, 1], [10, 1]], 1/430080], [[[1, 7], [2, 2], [3, 1], [6, 2], [7, 1], [12, 1]], 2209/716636160], [[[1, 7], [2, 2], [3, 1], [6, 2], [8, 1], [9, 1]], 61/71663616], [[[1, 7], [2, 2], [3, 1], [6, 2], [8, 1], [14, 1]], 1/18579456], [[[1, 7], [2, 2], [3, 1], [6, 2], [8, 1], [18, 1]], 749/3224862720], [[[1, 7], [2, 2], [3, 1], [6, 2], [9, 1], [10, 1]], 1/1658880], [[[1, 7], [2, 2], [3, 1], [6, 2], [9, 1], [12, 1]], 290089/361184624640], [[[1, 7], [2, 2], [3, 1], [6, 2], [10, 1], [18, 1]], 19/1007769600], [[[1, 7], [2, 2], [3, 1], [6, 2], [12, 1], [14, 1]], 19/2508226560], [[[1, 7], [2, 2], [3, 1], [6, 2], [12, 1], [18, 1]], 37/967458816], [[[1, 7], [2, 2], [3, 1], [6, 3], [8, 1], [10, 1]], 1/39813120], [[[1, 7], [2, 2], [3, 1], [6, 3], [8, 1], [12, 1]], 607/8599633920], [[[1, 7], [2, 2], [3, 1], [6, 3], [10, 1], [12, 1]], 19/5374771200], [[[1, 7], [2, 2], [3, 1], [7, 1], [8, 1], [12, 1]], 11/3096576], [[[1, 7], [2, 2], [3, 1], [7, 1], [10, 1], [12, 1]], 1/645120], [[[1, 7], [2, 2], [3, 1], [8, 1], [9, 1], [12, 1]], 13/11943936], [[[1, 7], [2, 2], [3, 1], [8, 1], [12, 1], [14, 1]], 1/3096576], [[[1, 7], [2, 2], [3, 1], [8, 1], [12, 1], [18, 1]], 1/3981312], [[[1, 7], [2, 2], [3, 1], [9, 1], [10, 1], [12, 1]], 1/2488320], [[[1, 7], [2, 2], [3, 2], [4, 1], [5, 1], [6, 3]], 8689/21499084800], [[[1, 7], [2, 2], [3, 2], [4, 1], [5, 1], [7, 1]], 53/5806080], [[[1, 7], [2, 2], [3, 2], [4, 1], [5, 1], [9, 1]], 677/167961600], [[[1, 7], [2, 2], [3, 2], [4, 1], [5, 1], [14, 1]], 1/580608], [[[1, 7], [2, 2], [3, 2], [4, 1], [5, 1], [18, 1]], 1/746496], [[[1, 7], [2, 2], [3, 2], [4, 1], [5, 2], [6, 1]], 1618609/429981696000], [[[1, 7], [2, 2], [3, 2], [4, 1], [6, 1], [8, 2]], 172813/137594142720], [[[1, 7], [2, 2], [3, 2], [4, 1], [6, 1], [10, 2]], 51313/429981696000], [[[1, 7], [2, 2], [3, 2], [4, 1], [6, 1], [12, 2]], 414391/206391214080], [[[1, 7], [2, 2], [3, 2], [4, 1], [6, 1], [15, 1]], 16753/21499084800], [[[1, 7], [2, 2], [3, 2], [4, 1], [6, 1], [16, 1]], 37/59719680], [[[1, 7], [2, 2], [3, 2], [4, 1], [6, 1], [20, 1]], 16753/14332723200], [[[1, 7], [2, 2], [3, 2], [4, 1], [6, 1], [24, 1]], 27409/17199267840], [[[1, 7], [2, 2], [3, 2], [4, 1], [6, 1], [30, 1]], 16753/21499084800], [[[1, 7], [2, 2], [3, 2], [4, 1], [6, 2], [7, 1]], 1931/743178240], [[[1, 7], [2, 2], [3, 2], [4, 1], [6, 2], [9, 1]], 41/47775744], [[[1, 7], [2, 2], [3, 2], [4, 1], [6, 2], [14, 1]], 23/212336640], [[[1, 7], [2, 2], [3, 2], [4, 1], [6, 2], [18, 1]], 80053/154793410560], [[[1, 7], [2, 2], [3, 2], [4, 1], [6, 3], [8, 1]], 281477/412782428160], [[[1, 7], [2, 2], [3, 2], [4, 1], [6, 3], [10, 1]], 13147/85996339200], [[[1, 7], [2, 2], [3, 2], [4, 1], [6, 3], [12, 1]], 85163/206391214080], [[[1, 7], [2, 2], [3, 2], [4, 1], [7, 1], [8, 1]], 139/18579456], [[[1, 7], [2, 2], [3, 2], [4, 1], [7, 1], [10, 1]], 1/725760], [[[1, 7], [2, 2], [3, 2], [4, 1], [7, 1], [12, 1]], 7699/1114767360], [[[1, 7], [2, 2], [3, 2], [4, 1], [8, 1], [9, 1]], 11651/4299816960], [[[1, 7], [2, 2], [3, 2], [4, 1], [8, 1], [14, 1]], 1/1032192], [[[1, 7], [2, 2], [3, 2], [4, 1], [8, 1], [18, 1]], 13/17915904], [[[1, 7], [2, 2], [3, 2], [4, 1], [9, 1], [10, 1]], 637/1343692800], [[[1, 7], [2, 2], [3, 2], [4, 1], [9, 1], [12, 1]], 7813/3224862720], [[[1, 7], [2, 2], [3, 2], [4, 1], [10, 1], [14, 1]], 1/5806080], [[[1, 7], [2, 2], [3, 2], [4, 1], [10, 1], [18, 1]], 1/7464960], [[[1, 7], [2, 2], [3, 2], [4, 1], [12, 1], [14, 1]], 2089/2229534720], [[[1, 7], [2, 2], [3, 2], [4, 1], [12, 1], [18, 1]], 2089/2866544640], [[[1, 7], [2, 2], [3, 2], [4, 2], [5, 1], [6, 2]], 6437/5096079360], [[[1, 7], [2, 2], [3, 2], [4, 2], [5, 1], [8, 1]], 1589/265420800], [[[1, 7], [2, 2], [3, 2], [4, 2], [5, 1], [10, 1]], 43/16588800], [[[1, 7], [2, 2], [3, 2], [4, 2], [5, 1], [12, 1]], 1324553/343985356800], [[[1, 7], [2, 2], [3, 2], [4, 2], [6, 1], [7, 1]], 7073/2675441664], [[[1, 7], [2, 2], [3, 2], [4, 2], [6, 1], [9, 1]], 147449/154793410560], [[[1, 7], [2, 2], [3, 2], [4, 2], [6, 1], [14, 1]], 65/297271296], [[[1, 7], [2, 2], [3, 2], [4, 2], [6, 1], [18, 1]], 6227/17199267840], [[[1, 7], [2, 2], [3, 2], [4, 2], [6, 2], [8, 1]], 38591/40768634880], [[[1, 7], [2, 2], [3, 2], [4, 2], [6, 2], [10, 1]], 1619/8493465600], [[[1, 7], [2, 2], [3, 2], [4, 2], [6, 2], [12, 1]], 2022943/2889476997120], [[[1, 7], [2, 2], [3, 2], [4, 2], [8, 1], [10, 1]], 17/26542080], [[[1, 7], [2, 2], [3, 2], [4, 2], [8, 1], [12, 1]], 2582623/550376570880], [[[1, 7], [2, 2], [3, 2], [4, 2], [10, 1], [12, 1]], 29273/38220595200], [[[1, 7], [2, 2], [3, 2], [4, 3], [5, 1], [6, 1]], 1337/2123366400], [[[1, 7], [2, 2], [3, 2], [4, 3], [6, 1], [8, 1]], 112871/91729428480], [[[1, 7], [2, 2], [3, 2], [4, 3], [6, 1], [10, 1]], 889/3822059520], [[[1, 7], [2, 2], [3, 2], [4, 3], [6, 1], [12, 1]], 880669/825564856320], [[[1, 7], [2, 2], [3, 2], [5, 1], [6, 1], [7, 1]], 877/58060800], [[[1, 7], [2, 2], [3, 2], [5, 1], [6, 1], [9, 1]], 109/18662400], [[[1, 7], [2, 2], [3, 2], [5, 1], [6, 1], [14, 1]], 41/19353600], [[[1, 7], [2, 2], [3, 2], [5, 1], [6, 1], [18, 1]], 533/251942400], [[[1, 7], [2, 2], [3, 2], [5, 1], [6, 2], [8, 1]], 883/530841600], [[[1, 7], [2, 2], [3, 2], [5, 1], [6, 2], [10, 1]], 41/36864000], [[[1, 7], [2, 2], [3, 2], [5, 1], [6, 2], [12, 1]], 20041/10749542400], [[[1, 7], [2, 2], [3, 2], [5, 1], [8, 1], [12, 1]], 227/88473600], [[[1, 7], [2, 2], [3, 2], [5, 1], [10, 1], [12, 1]], 41/55296000], [[[1, 7], [2, 2], [3, 2], [6, 1], [7, 1], [8, 1]], 31/7962624], [[[1, 7], [2, 2], [3, 2], [6, 1], [7, 1], [10, 1]], 1/967680], [[[1, 7], [2, 2], [3, 2], [6, 1], [7, 1], [12, 1]], 2995/334430208], [[[1, 7], [2, 2], [3, 2], [6, 1], [8, 1], [9, 1]], 4109/3224862720], [[[1, 7], [2, 2], [3, 2], [6, 1], [8, 1], [14, 1]], 1/6967296], [[[1, 7], [2, 2], [3, 2], [6, 1], [8, 1], [18, 1]], 103/403107840], [[[1, 7], [2, 2], [3, 2], [6, 1], [9, 1], [10, 1]], 349/1007769600], [[[1, 7], [2, 2], [3, 2], [6, 1], [9, 1], [12, 1]], 55633/19349176320], [[[1, 7], [2, 2], [3, 2], [6, 1], [10, 1], [14, 1]], 1/8709120], [[[1, 7], [2, 2], [3, 2], [6, 1], [10, 1], [18, 1]], 1/7464960], [[[1, 7], [2, 2], [3, 2], [6, 1], [12, 1], [14, 1]], 1/995328], [[[1, 7], [2, 2], [3, 2], [6, 1], [12, 1], [18, 1]], 313441/361184624640], [[[1, 7], [2, 2], [3, 2], [6, 2], [8, 1], [10, 1]], 1/14929920], [[[1, 7], [2, 2], [3, 2], [6, 2], [8, 1], [12, 1]], 3221/4299816960], [[[1, 7], [2, 2], [3, 2], [6, 2], [10, 1], [12, 1]], 7/13271040], [[[1, 7], [2, 2], [3, 3], [4, 1], [5, 1], [6, 2]], 2807/2149908480], [[[1, 7], [2, 2], [3, 3], [4, 1], [5, 1], [8, 1]], 8789/2388787200], [[[1, 7], [2, 2], [3, 3], [4, 1], [5, 1], [10, 1]], 247/373248000], [[[1, 7], [2, 2], [3, 3], [4, 1], [5, 1], [12, 1]], 49/13271040], [[[1, 7], [2, 2], [3, 3], [4, 1], [6, 1], [7, 1]], 71/62705664], [[[1, 7], [2, 2], [3, 3], [4, 1], [6, 1], [9, 1]], 30113/38698352640], [[[1, 7], [2, 2], [3, 3], [4, 1], [6, 1], [14, 1]], 25/250822656], [[[1, 7], [2, 2], [3, 3], [4, 1], [6, 1], [18, 1]], 199/806215680], [[[1, 7], [2, 2], [3, 3], [4, 1], [6, 2], [8, 1]], 63991/137594142720], [[[1, 7], [2, 2], [3, 3], [4, 1], [6, 2], [10, 1]], 493/4777574400], [[[1, 7], [2, 2], [3, 3], [4, 1], [6, 2], [12, 1]], 11081/12899450880], [[[1, 7], [2, 2], [3, 3], [4, 1], [8, 1], [10, 1]], 53/477757440], [[[1, 7], [2, 2], [3, 3], [4, 1], [8, 1], [12, 1]], 1733/849346560], [[[1, 7], [2, 2], [3, 3], [4, 1], [10, 1], [12, 1]], 2437/7166361600], [[[1, 7], [2, 2], [3, 3], [4, 2], [5, 1], [6, 1]], 114551/85996339200], [[[1, 7], [2, 2], [3, 3], [4, 2], [6, 1], [8, 1]], 22483/13759414272], [[[1, 7], [2, 2], [3, 3], [4, 2], [6, 1], [10, 1]], 397/3439853568], [[[1, 7], [2, 2], [3, 3], [4, 2], [6, 1], [12, 1]], 152045/41278242816], [[[1, 7], [2, 2], [3, 3], [5, 1], [6, 1], [8, 1]], 3337/1791590400], [[[1, 7], [2, 2], [3, 3], [5, 1], [6, 1], [10, 1]], 157/74649600], [[[1, 7], [2, 2], [3, 3], [5, 1], [6, 1], [12, 1]], 9653/2149908480], [[[1, 7], [2, 2], [3, 3], [6, 1], [8, 1], [10, 1]], 5/71663616], [[[1, 7], [2, 2], [3, 3], [6, 1], [8, 1], [12, 1]], 8047/8599633920], [[[1, 7], [2, 2], [3, 3], [6, 1], [10, 1], [12, 1]], 1339/5374771200], [[[1, 7], [2, 2], [3, 4], [4, 1], [5, 1], [6, 1]], 40619/71663616000], [[[1, 7], [2, 2], [3, 4], [4, 1], [6, 1], [8, 1]], 304031/1375941427200], [[[1, 7], [2, 2], [3, 4], [4, 1], [6, 1], [10, 1]], 9601/286654464000], [[[1, 7], [2, 2], [3, 4], [4, 1], [6, 1], [12, 1]], 812339/2063912140800], [[[1, 7], [2, 2], [4, 1], [5, 1], [6, 1], [8, 2]], 79/53084160], [[[1, 7], [2, 2], [4, 1], [5, 1], [6, 1], [10, 2]], 161/829440000], [[[1, 7], [2, 2], [4, 1], [5, 1], [6, 1], [12, 2]], 161/398131200], [[[1, 7], [2, 2], [4, 1], [5, 1], [6, 1], [15, 1]], 17/41472000], [[[1, 7], [2, 2], [4, 1], [5, 1], [6, 1], [20, 1]], 17/27648000], [[[1, 7], [2, 2], [4, 1], [5, 1], [6, 1], [24, 1]], 17/33177600], [[[1, 7], [2, 2], [4, 1], [5, 1], [6, 1], [30, 1]], 17/41472000], [[[1, 7], [2, 2], [4, 1], [5, 1], [6, 2], [18, 1]], 17/74649600], [[[1, 7], [2, 2], [4, 1], [5, 1], [6, 3], [8, 1]], 1/37324800], [[[1, 7], [2, 2], [4, 1], [5, 1], [6, 3], [10, 1]], 1/248832000], [[[1, 7], [2, 2], [4, 1], [5, 1], [6, 3], [12, 1]], 59/1194393600], [[[1, 7], [2, 2], [4, 1], [5, 1], [7, 1], [8, 1]], 167/8601600], [[[1, 7], [2, 2], [4, 1], [5, 1], [7, 1], [10, 1]], 1/224000], [[[1, 7], [2, 2], [4, 1], [5, 1], [7, 1], [12, 1]], 1/134400], [[[1, 7], [2, 2], [4, 1], [5, 1], [8, 1], [9, 1]], 209/33177600], [[[1, 7], [2, 2], [4, 1], [5, 1], [8, 1], [14, 1]], 11/4300800], [[[1, 7], [2, 2], [4, 1], [5, 1], [8, 1], [18, 1]], 1/518400], [[[1, 7], [2, 2], [4, 1], [5, 1], [9, 1], [10, 1]], 7/5184000], [[[1, 7], [2, 2], [4, 1], [5, 1], [9, 1], [12, 1]], 7/3110400], [[[1, 7], [2, 2], [4, 1], [5, 1], [10, 1], [14, 1]], 1/2688000], [[[1, 7], [2, 2], [4, 1], [5, 1], [10, 1], [18, 1]], 1/3456000], [[[1, 7], [2, 2], [4, 1], [5, 1], [12, 1], [14, 1]], 1/1612800], [[[1, 7], [2, 2], [4, 1], [5, 1], [12, 1], [18, 1]], 1/2073600], [[[1, 7], [2, 2], [4, 1], [5, 2], [6, 1], [8, 1]], 1183/5308416000], [[[1, 7], [2, 2], [4, 1], [5, 2], [6, 1], [10, 1]], 193/1105920000], [[[1, 7], [2, 2], [4, 1], [5, 2], [6, 1], [12, 1]], 193/884736000], [[[1, 7], [2, 2], [4, 1], [6, 1], [7, 1], [9, 1]], 11/3483648], [[[1, 7], [2, 2], [4, 1], [6, 1], [7, 1], [14, 1]], 1/903168], [[[1, 7], [2, 2], [4, 1], [6, 1], [7, 1], [18, 1]], 31/23224320], [[[1, 7], [2, 2], [4, 1], [6, 1], [8, 1], [10, 2]], 31/5308416000], [[[1, 7], [2, 2], [4, 1], [6, 1], [8, 1], [12, 2]], 31/2548039680], [[[1, 7], [2, 2], [4, 1], [6, 1], [8, 1], [15, 1]], 31/265420800], [[[1, 7], [2, 2], [4, 1], [6, 1], [8, 1], [20, 1]], 31/176947200], [[[1, 7], [2, 2], [4, 1], [6, 1], [8, 1], [24, 1]], 31/212336640], [[[1, 7], [2, 2], [4, 1], [6, 1], [8, 1], [30, 1]], 31/265420800], [[[1, 7], [2, 2], [4, 1], [6, 1], [8, 2], [10, 1]], 61/353894400], [[[1, 7], [2, 2], [4, 1], [6, 1], [8, 2], [12, 1]], 61/283115520], [[[1, 7], [2, 2], [4, 1], [6, 1], [9, 1], [14, 1]], 1/3483648], [[[1, 7], [2, 2], [4, 1], [6, 1], [9, 1], [18, 1]], 1/2799360], [[[1, 7], [2, 2], [4, 1], [6, 1], [10, 1], [12, 2]], 1/530841600], [[[1, 7], [2, 2], [4, 1], [6, 1], [10, 1], [15, 1]], 1/55296000], [[[1, 7], [2, 2], [4, 1], [6, 1], [10, 1], [20, 1]], 1/36864000], [[[1, 7], [2, 2], [4, 1], [6, 1], [10, 1], [24, 1]], 1/44236800], [[[1, 7], [2, 2], [4, 1], [6, 1], [10, 1], [30, 1]], 1/55296000], [[[1, 7], [2, 2], [4, 1], [6, 1], [10, 2], [12, 1]], 1/884736000], [[[1, 7], [2, 2], [4, 1], [6, 1], [12, 1], [15, 1]], 1/44236800], [[[1, 7], [2, 2], [4, 1], [6, 1], [12, 1], [20, 1]], 1/29491200], [[[1, 7], [2, 2], [4, 1], [6, 1], [12, 1], [24, 1]], 1/35389440], [[[1, 7], [2, 2], [4, 1], [6, 1], [12, 1], [30, 1]], 1/44236800], [[[1, 7], [2, 2], [4, 1], [6, 1], [14, 1], [18, 1]], 1/46448640], [[[1, 7], [2, 2], [4, 1], [6, 2], [7, 1], [8, 1]], 1/884736], [[[1, 7], [2, 2], [4, 1], [6, 2], [7, 1], [10, 1]], 1/1935360], [[[1, 7], [2, 2], [4, 1], [6, 2], [7, 1], [12, 1]], 13/17694720], [[[1, 7], [2, 2], [4, 1], [6, 2], [8, 1], [9, 1]], 7/23887872], [[[1, 7], [2, 2], [4, 1], [6, 2], [8, 1], [18, 1]], 31/477757440], [[[1, 7], [2, 2], [4, 1], [6, 2], [9, 1], [10, 1]], 1/7464960], [[[1, 7], [2, 2], [4, 1], [6, 2], [9, 1], [12, 1]], 23/119439360], [[[1, 7], [2, 2], [4, 1], [6, 2], [10, 1], [18, 1]], 1/99532800], [[[1, 7], [2, 2], [4, 1], [6, 2], [12, 1], [14, 1]], 1/247726080], [[[1, 7], [2, 2], [4, 1], [6, 2], [12, 1], [18, 1]], 1/63700992], [[[1, 7], [2, 2], [4, 1], [6, 3], [8, 1], [12, 1]], 31/2548039680], [[[1, 7], [2, 2], [4, 1], [6, 3], [10, 1], [12, 1]], 1/530841600], [[[1, 7], [2, 2], [4, 1], [7, 1], [8, 1], [10, 1]], 1/344064], [[[1, 7], [2, 2], [4, 1], [7, 1], [8, 1], [12, 1]], 1/516096], [[[1, 7], [2, 2], [4, 1], [8, 1], [9, 1], [10, 1]], 1/1327104], [[[1, 7], [2, 2], [4, 1], [8, 1], [9, 1], [12, 1]], 1/1990656], [[[1, 7], [2, 2], [4, 2], [5, 1], [6, 1], [7, 1]], 31/38707200], [[[1, 7], [2, 2], [4, 2], [5, 1], [6, 1], [9, 1]], 31/149299200], [[[1, 7], [2, 2], [4, 2], [5, 1], [6, 1], [18, 1]], 71/477757440], [[[1, 7], [2, 2], [4, 2], [5, 1], [6, 2], [12, 1]], 611/12740198400], [[[1, 7], [2, 2], [4, 2], [5, 1], [8, 1], [10, 1]], 13/6144000], [[[1, 7], [2, 2], [4, 2], [5, 1], [8, 1], [12, 1]], 7/1327104], [[[1, 7], [2, 2], [4, 2], [5, 1], [10, 1], [12, 1]], 7/13824000], [[[1, 7], [2, 2], [4, 2], [6, 1], [7, 1], [8, 1]], 115/24772608], [[[1, 7], [2, 2], [4, 2], [6, 1], [7, 1], [10, 1]], 1/983040], [[[1, 7], [2, 2], [4, 2], [6, 1], [7, 1], [12, 1]], 103/63700992], [[[1, 7], [2, 2], [4, 2], [6, 1], [8, 1], [9, 1]], 1/746496], [[[1, 7], [2, 2], [4, 2], [6, 1], [8, 1], [14, 1]], 13/49545216], [[[1, 7], [2, 2], [4, 2], [6, 1], [8, 1], [18, 1]], 1433/3822059520], [[[1, 7], [2, 2], [4, 2], [6, 1], [9, 1], [10, 1]], 13/47775744], [[[1, 7], [2, 2], [4, 2], [6, 1], [9, 1], [12, 1]], 739/1719926784], [[[1, 7], [2, 2], [4, 2], [6, 1], [10, 1], [14, 1]], 1/61931520], [[[1, 7], [2, 2], [4, 2], [6, 1], [10, 1], [18, 1]], 1/29491200], [[[1, 7], [2, 2], [4, 2], [6, 1], [12, 1], [14, 1]], 1/49545216], [[[1, 7], [2, 2], [4, 2], [6, 1], [12, 1], [18, 1]], 7501/180592312320], [[[1, 7], [2, 2], [4, 2], [6, 2], [8, 1], [10, 1]], 13/106168320], [[[1, 7], [2, 2], [4, 2], [6, 2], [8, 1], [12, 1]], 3773/20384317440], [[[1, 7], [2, 2], [4, 2], [6, 2], [10, 1], [12, 1]], 19/1415577600], [[[1, 7], [2, 2], [4, 3], [5, 1], [6, 1], [8, 1]], 71/353894400], [[[1, 7], [2, 2], [4, 3], [5, 1], [6, 1], [10, 1]], 1/49152000], [[[1, 7], [2, 2], [4, 3], [5, 1], [6, 1], [12, 1]], 25/127401984], [[[1, 7], [2, 2], [4, 3], [6, 1], [8, 1], [10, 1]], 19/70778880], [[[1, 7], [2, 2], [4, 3], [6, 1], [8, 1], [12, 1]], 2333/5096079360], [[[1, 7], [2, 2], [4, 3], [6, 1], [10, 1], [12, 1]], 43/1061683200], [[[1, 7], [2, 2], [5, 1], [6, 1], [7, 1], [8, 1]], 1/268800], [[[1, 7], [2, 2], [5, 1], [6, 1], [7, 1], [10, 1]], 13/4032000], [[[1, 7], [2, 2], [5, 1], [6, 1], [7, 1], [12, 1]], 37/9676800], [[[1, 7], [2, 2], [5, 1], [6, 1], [8, 1], [9, 1]], 7/6220800], [[[1, 7], [2, 2], [5, 1], [6, 1], [8, 1], [14, 1]], 1/3225600], [[[1, 7], [2, 2], [5, 1], [6, 1], [8, 1], [18, 1]], 29/49766400], [[[1, 7], [2, 2], [5, 1], [6, 1], [9, 1], [10, 1]], 1/1036800], [[[1, 7], [2, 2], [5, 1], [6, 1], [9, 1], [12, 1]], 43/37324800], [[[1, 7], [2, 2], [5, 1], [6, 1], [10, 1], [14, 1]], 1/4032000], [[[1, 7], [2, 2], [5, 1], [6, 1], [10, 1], [18, 1]], 1/3456000], [[[1, 7], [2, 2], [5, 1], [6, 1], [12, 1], [14, 1]], 1/3225600], [[[1, 7], [2, 2], [5, 1], [6, 1], [12, 1], [18, 1]], 1/4147200], [[[1, 7], [2, 2], [5, 1], [6, 2], [8, 1], [10, 1]], 1/6912000], [[[1, 7], [2, 2], [5, 1], [6, 2], [8, 1], [12, 1]], 13/53084160], [[[1, 7], [2, 2], [5, 1], [6, 2], [10, 1], [12, 1]], 1/6144000], [[[1, 7], [2, 2], [6, 1], [7, 1], [8, 1], [10, 1]], 1/1290240], [[[1, 7], [2, 2], [6, 1], [7, 1], [8, 1], [12, 1]], 1/1032192], [[[1, 7], [2, 2], [6, 1], [8, 1], [9, 1], [10, 1]], 1/4976640], [[[1, 7], [2, 2], [6, 1], [8, 1], [9, 1], [12, 1]], 1/3981312], [[[1, 7], [2, 4], [3, 1], [4, 1], [5, 1], [6, 3]], 114403/77396705280], [[[1, 7], [2, 4], [3, 1], [4, 1], [5, 1], [7, 1]], 2453/154828800], [[[1, 7], [2, 4], [3, 1], [4, 1], [5, 1], [9, 1]], 1261/159252480], [[[1, 7], [2, 4], [3, 1], [4, 1], [5, 1], [14, 1]], 10613/1393459200], [[[1, 7], [2, 4], [3, 1], [4, 1], [5, 1], [18, 1]], 5539/1074954240], [[[1, 7], [2, 4], [3, 1], [4, 1], [5, 2], [6, 1]], 1451801/143327232000], [[[1, 7], [2, 4], [3, 1], [4, 1], [6, 1], [8, 2]], 179317/9172942848], [[[1, 7], [2, 4], [3, 1], [4, 1], [6, 1], [10, 2]], 55717/28665446400], [[[1, 7], [2, 4], [3, 1], [4, 1], [6, 1], [12, 2]], 146761/68797071360], [[[1, 7], [2, 4], [3, 1], [4, 1], [6, 1], [15, 1]], 12377/7166361600], [[[1, 7], [2, 4], [3, 1], [4, 1], [6, 1], [16, 1]], 19/3932160], [[[1, 7], [2, 4], [3, 1], [4, 1], [6, 1], [20, 1]], 12377/4777574400], [[[1, 7], [2, 4], [3, 1], [4, 1], [6, 1], [24, 1]], 27767/5733089280], [[[1, 7], [2, 4], [3, 1], [4, 1], [6, 1], [30, 1]], 12377/7166361600], [[[1, 7], [2, 4], [3, 1], [4, 1], [6, 2], [7, 1]], 3271/247726080], [[[1, 7], [2, 4], [3, 1], [4, 1], [6, 2], [9, 1]], 43247/8599633920], [[[1, 7], [2, 4], [3, 1], [4, 1], [6, 2], [14, 1]], 2357/743178240], [[[1, 7], [2, 4], [3, 1], [4, 1], [6, 2], [18, 1]], 85081/25798901760], [[[1, 7], [2, 4], [3, 1], [4, 1], [6, 3], [8, 1]], 1157101/309586821120], [[[1, 7], [2, 4], [3, 1], [4, 1], [6, 3], [10, 1]], 760961/386983526400], [[[1, 7], [2, 4], [3, 1], [4, 1], [6, 3], [12, 1]], 5083639/1857520926720], [[[1, 7], [2, 4], [3, 1], [4, 1], [7, 1], [8, 1]], 1091/69672960], [[[1, 7], [2, 4], [3, 1], [4, 1], [7, 1], [10, 1]], 17/2419200], [[[1, 7], [2, 4], [3, 1], [4, 1], [7, 1], [12, 1]], 2431/371589120], [[[1, 7], [2, 4], [3, 1], [4, 1], [8, 1], [9, 1]], 2167799/321052999680], [[[1, 7], [2, 4], [3, 1], [4, 1], [8, 1], [14, 1]], 133/26542080], [[[1, 7], [2, 4], [3, 1], [4, 1], [8, 1], [18, 1]], 15487/4299816960], [[[1, 7], [2, 4], [3, 1], [4, 1], [9, 1], [10, 1]], 751/265420800], [[[1, 7], [2, 4], [3, 1], [4, 1], [9, 1], [12, 1]], 1943/716636160], [[[1, 7], [2, 4], [3, 1], [4, 1], [10, 1], [14, 1]], 1153/696729600], [[[1, 7], [2, 4], [3, 1], [4, 1], [10, 1], [18, 1]], 677/537477120], [[[1, 7], [2, 4], [3, 1], [4, 1], [12, 1], [14, 1]], 1049/477757440], [[[1, 7], [2, 4], [3, 1], [4, 1], [12, 1], [18, 1]], 20141/12899450880], [[[1, 7], [2, 4], [3, 1], [4, 2], [5, 1], [6, 2]], 262553/57330892800], [[[1, 7], [2, 4], [3, 1], [4, 2], [5, 1], [8, 1]], 33427/1274019840], [[[1, 7], [2, 4], [3, 1], [4, 2], [5, 1], [10, 1]], 15331/737280000], [[[1, 7], [2, 4], [3, 1], [4, 2], [5, 1], [12, 1]], 12587/1194393600], [[[1, 7], [2, 4], [3, 1], [4, 2], [6, 1], [7, 1]], 44741/2006581248], [[[1, 7], [2, 4], [3, 1], [4, 2], [6, 1], [9, 1]], 1124129/144473849856], [[[1, 7], [2, 4], [3, 1], [4, 2], [6, 1], [14, 1]], 18451/5016453120], [[[1, 7], [2, 4], [3, 1], [4, 2], [6, 1], [18, 1]], 1982903/619173642240], [[[1, 7], [2, 4], [3, 1], [4, 2], [6, 2], [8, 1]], 4007653/275188285440], [[[1, 7], [2, 4], [3, 1], [4, 2], [6, 2], [10, 1]], 86843/21499084800], [[[1, 7], [2, 4], [3, 1], [4, 2], [6, 2], [12, 1]], 61677947/5944066965504], [[[1, 7], [2, 4], [3, 1], [4, 2], [8, 1], [10, 1]], 43937/6370099200], [[[1, 7], [2, 4], [3, 1], [4, 2], [8, 1], [12, 1]], 2286863/137594142720], [[[1, 7], [2, 4], [3, 1], [4, 2], [10, 1], [12, 1]], 89083/26873856000], [[[1, 7], [2, 4], [3, 1], [4, 3], [5, 1], [6, 1]], 126109/14332723200], [[[1, 7], [2, 4], [3, 1], [4, 3], [6, 1], [8, 1]], 148723/5733089280], [[[1, 7], [2, 4], [3, 1], [4, 3], [6, 1], [10, 1]], 31051/9555148800], [[[1, 7], [2, 4], [3, 1], [4, 3], [6, 1], [12, 1]], 1369547/68797071360], [[[1, 7], [2, 4], [3, 1], [5, 1], [6, 1], [7, 1]], 859/38707200], [[[1, 7], [2, 4], [3, 1], [5, 1], [6, 1], [9, 1]], 8957/895795200], [[[1, 7], [2, 4], [3, 1], [5, 1], [6, 1], [14, 1]], 73/7741440], [[[1, 7], [2, 4], [3, 1], [5, 1], [6, 1], [18, 1]], 5479/796262400], [[[1, 7], [2, 4], [3, 1], [5, 1], [6, 2], [8, 1]], 1223/199065600], [[[1, 7], [2, 4], [3, 1], [5, 1], [6, 2], [10, 1]], 4987/829440000], [[[1, 7], [2, 4], [3, 1], [5, 1], [6, 2], [12, 1]], 645389/114661785600], [[[1, 7], [2, 4], [3, 1], [5, 1], [8, 1], [10, 1]], 1/276480], [[[1, 7], [2, 4], [3, 1], [5, 1], [8, 1], [12, 1]], 113/33177600], [[[1, 7], [2, 4], [3, 1], [5, 1], [10, 1], [12, 1]], 179/46080000], [[[1, 7], [2, 4], [3, 1], [6, 1], [7, 1], [8, 1]], 401/23224320], [[[1, 7], [2, 4], [3, 1], [6, 1], [7, 1], [10, 1]], 12259/1045094400], [[[1, 7], [2, 4], [3, 1], [6, 1], [7, 1], [12, 1]], 109/39191040], [[[1, 7], [2, 4], [3, 1], [6, 1], [8, 1], [9, 1]], 18959/2866544640], [[[1, 7], [2, 4], [3, 1], [6, 1], [8, 1], [14, 1]], 907/209018880], [[[1, 7], [2, 4], [3, 1], [6, 1], [8, 1], [18, 1]], 87823/25798901760], [[[1, 7], [2, 4], [3, 1], [6, 1], [9, 1], [10, 1]], 152069/37623398400], [[[1, 7], [2, 4], [3, 1], [6, 1], [9, 1], [12, 1]], 12181/11287019520], [[[1, 7], [2, 4], [3, 1], [6, 1], [10, 1], [14, 1]], 667/348364800], [[[1, 7], [2, 4], [3, 1], [6, 1], [10, 1], [18, 1]], 64231/40310784000], [[[1, 7], [2, 4], [3, 1], [6, 1], [12, 1], [14, 1]], 229/313528320], [[[1, 7], [2, 4], [3, 1], [6, 1], [12, 1], [18, 1]], 86899/154793410560], [[[1, 7], [2, 4], [3, 1], [6, 2], [8, 1], [10, 1]], 701/223948800], [[[1, 7], [2, 4], [3, 1], [6, 2], [8, 1], [12, 1]], 403423/137594142720], [[[1, 7], [2, 4], [3, 1], [6, 2], [10, 1], [12, 1]], 305041/214990848000], [[[1, 7], [2, 4], [3, 1], [8, 1], [10, 1], [12, 1]], 1/829440], [[[1, 7], [2, 4], [3, 2], [4, 1], [5, 1], [6, 2]], 4129381/229323571200], [[[1, 7], [2, 4], [3, 2], [4, 1], [5, 1], [8, 1]], 6817/477757440], [[[1, 7], [2, 4], [3, 2], [4, 1], [5, 1], [10, 1]], 173/16588800], [[[1, 7], [2, 4], [3, 2], [4, 1], [5, 1], [12, 1]], 36509/4246732800], [[[1, 7], [2, 4], [3, 2], [4, 1], [6, 1], [7, 1]], 5707/318504960], [[[1, 7], [2, 4], [3, 2], [4, 1], [6, 1], [9, 1]], 219097/25798901760], [[[1, 7], [2, 4], [3, 2], [4, 1], [6, 1], [14, 1]], 128497/20065812480], [[[1, 7], [2, 4], [3, 2], [4, 1], [6, 1], [18, 1]], 383099/77396705280], [[[1, 7], [2, 4], [3, 2], [4, 1], [6, 2], [8, 1]], 184998017/6164217593856], [[[1, 7], [2, 4], [3, 2], [4, 1], [6, 2], [10, 1]], 187495/27518828544], [[[1, 7], [2, 4], [3, 2], [4, 1], [6, 2], [12, 1]], 9987653/412782428160], [[[1, 7], [2, 4], [3, 2], [4, 1], [8, 1], [10, 1]], 557/159252480], [[[1, 7], [2, 4], [3, 2], [4, 1], [8, 1], [12, 1]], 13112663/1712282664960], [[[1, 7], [2, 4], [3, 2], [4, 1], [10, 1], [12, 1]], 106741/38220595200], [[[1, 7], [2, 4], [3, 2], [4, 2], [5, 1], [6, 1]], 2849051/171992678400], [[[1, 7], [2, 4], [3, 2], [4, 2], [6, 1], [8, 1]], 7956943/275188285440], [[[1, 7], [2, 4], [3, 2], [4, 2], [6, 1], [10, 1]], 110963/19110297600], [[[1, 7], [2, 4], [3, 2], [4, 2], [6, 1], [12, 1]], 341511983/11557907988480], [[[1, 7], [2, 4], [3, 2], [5, 1], [6, 1], [8, 1]], 133/9830400], [[[1, 7], [2, 4], [3, 2], [5, 1], [6, 1], [10, 1]], 24109/2239488000], [[[1, 7], [2, 4], [3, 2], [5, 1], [6, 1], [12, 1]], 78079/8599633920], [[[1, 7], [2, 4], [3, 2], [6, 1], [8, 1], [10, 1]], 15277/7166361600], [[[1, 7], [2, 4], [3, 2], [6, 1], [8, 1], [12, 1]], 796823/137594142720], [[[1, 7], [2, 4], [3, 2], [6, 1], [10, 1], [12, 1]], 685889/200658124800], [[[1, 7], [2, 4], [3, 3], [4, 1], [5, 1], [6, 1]], 6253/573308928], [[[1, 7], [2, 4], [3, 3], [4, 1], [6, 1], [8, 1]], 473117/34398535680], [[[1, 7], [2, 4], [3, 3], [4, 1], [6, 1], [10, 1]], 110081/42998169600], [[[1, 7], [2, 4], [3, 3], [4, 1], [6, 1], [12, 1]], 945589/68797071360], [[[1, 7], [2, 4], [4, 1], [5, 1], [6, 1], [7, 1]], 109/12902400], [[[1, 7], [2, 4], [4, 1], [5, 1], [6, 1], [9, 1]], 13/3732480], [[[1, 7], [2, 4], [4, 1], [5, 1], [6, 1], [14, 1]], 227/77414400], [[[1, 7], [2, 4], [4, 1], [5, 1], [6, 1], [18, 1]], 1283/477757440], [[[1, 7], [2, 4], [4, 1], [5, 1], [6, 2], [8, 1]], 2599/796262400], [[[1, 7], [2, 4], [4, 1], [5, 1], [6, 2], [10, 1]], 11/6144000], [[[1, 7], [2, 4], [4, 1], [5, 1], [6, 2], [12, 1]], 3343/1415577600], [[[1, 7], [2, 4], [4, 1], [5, 1], [8, 1], [10, 1]], 4039/245760000], [[[1, 7], [2, 4], [4, 1], [5, 1], [8, 1], [12, 1]], 1/122880], [[[1, 7], [2, 4], [4, 1], [5, 1], [10, 1], [12, 1]], 7/2764800], [[[1, 7], [2, 4], [4, 1], [6, 1], [7, 1], [8, 1]], 199/17694720], [[[1, 7], [2, 4], [4, 1], [6, 1], [7, 1], [10, 1]], 1039/154828800], [[[1, 7], [2, 4], [4, 1], [6, 1], [7, 1], [12, 1]], 313/74317824], [[[1, 7], [2, 4], [4, 1], [6, 1], [8, 1], [9, 1]], 947/238878720], [[[1, 7], [2, 4], [4, 1], [6, 1], [8, 1], [14, 1]], 19/8847360], [[[1, 7], [2, 4], [4, 1], [6, 1], [8, 1], [18, 1]], 640567/321052999680], [[[1, 7], [2, 4], [4, 1], [6, 1], [9, 1], [10, 1]], 437/199065600], [[[1, 7], [2, 4], [4, 1], [6, 1], [9, 1], [12, 1]], 2029/1433272320], [[[1, 7], [2, 4], [4, 1], [6, 1], [10, 1], [14, 1]], 139/154828800], [[[1, 7], [2, 4], [4, 1], [6, 1], [10, 1], [18, 1]], 689/796262400], [[[1, 7], [2, 4], [4, 1], [6, 1], [12, 1], [14, 1]], 241/371589120], [[[1, 7], [2, 4], [4, 1], [6, 1], [12, 1], [18, 1]], 41/79626240], [[[1, 7], [2, 4], [4, 1], [6, 2], [8, 1], [10, 1]], 137/88473600], [[[1, 7], [2, 4], [4, 1], [6, 2], [8, 1], [12, 1]], 2616919/1712282664960], [[[1, 7], [2, 4], [4, 1], [6, 2], [10, 1], [12, 1]], 7639/12740198400], [[[1, 7], [2, 4], [4, 1], [8, 1], [10, 1], [12, 1]], 1/1474560], [[[1, 7], [2, 4], [4, 2], [5, 1], [6, 1], [8, 1]], 19043/2123366400], [[[1, 7], [2, 4], [4, 2], [5, 1], [6, 1], [10, 1]], 4849/663552000], [[[1, 7], [2, 4], [4, 2], [5, 1], [6, 1], [12, 1]], 42521/9555148800], [[[1, 7], [2, 4], [4, 2], [6, 1], [8, 1], [10, 1]], 1111/235929600], [[[1, 7], [2, 4], [4, 2], [6, 1], [8, 1], [12, 1]], 84757/15288238080], [[[1, 7], [2, 4], [4, 2], [6, 1], [10, 1], [12, 1]], 302089/200658124800], [[[1, 7], [2, 4], [5, 1], [6, 1], [8, 1], [10, 1]], 179/55296000], [[[1, 7], [2, 4], [5, 1], [6, 1], [8, 1], [12, 1]], 293/132710400], [[[1, 7], [2, 4], [5, 1], [6, 1], [10, 1], [12, 1]], 1/768000], [[[1, 7], [2, 4], [6, 1], [8, 1], [10, 1], [12, 1]], 1/2949120], [[[1, 7], [2, 6], [3, 1], [4, 1], [5, 1], [6, 2]], 22276777/2579890176000], [[[1, 7], [2, 6], [3, 1], [4, 1], [5, 1], [8, 1]], 397519/42467328000], [[[1, 7], [2, 6], [3, 1], [4, 1], [5, 1], [10, 1]], 1701049/119439360000], [[[1, 7], [2, 6], [3, 1], [4, 1], [5, 1], [12, 1]], 43037/15925248000], [[[1, 7], [2, 6], [3, 1], [4, 1], [6, 1], [7, 1]], 8699/743178240], [[[1, 7], [2, 6], [3, 1], [4, 1], [6, 1], [9, 1]], 2133629/343985356800], [[[1, 7], [2, 6], [3, 1], [4, 1], [6, 1], [14, 1]], 20609/2675441664], [[[1, 7], [2, 6], [3, 1], [4, 1], [6, 1], [18, 1]], 5365009/1031956070400], [[[1, 7], [2, 6], [3, 1], [4, 1], [6, 2], [8, 1]], 5219399/330225942528], [[[1, 7], [2, 6], [3, 1], [4, 1], [6, 2], [10, 1]], 23031679/2579890176000], [[[1, 7], [2, 6], [3, 1], [4, 1], [6, 2], [12, 1]], 472955501/49533891379200], [[[1, 7], [2, 6], [3, 1], [4, 1], [8, 1], [10, 1]], 358979/63700992000], [[[1, 7], [2, 6], [3, 1], [4, 1], [8, 1], [12, 1]], 44597/10192158720], [[[1, 7], [2, 6], [3, 1], [4, 1], [10, 1], [12, 1]], 308159/143327232000], [[[1, 7], [2, 6], [3, 1], [4, 2], [5, 1], [6, 1]], 58162297/3439853568000], [[[1, 7], [2, 6], [3, 1], [4, 2], [6, 1], [8, 1]], 6285599/137594142720], [[[1, 7], [2, 6], [3, 1], [4, 2], [6, 1], [10, 1]], 22178437/1719926784000], [[[1, 7], [2, 6], [3, 1], [4, 2], [6, 1], [12, 1]], 4869756583/222902511206400], [[[1, 7], [2, 6], [3, 1], [5, 1], [6, 1], [8, 1]], 137441/15925248000], [[[1, 7], [2, 6], [3, 1], [5, 1], [6, 1], [10, 1]], 42061/2654208000], [[[1, 7], [2, 6], [3, 1], [5, 1], [6, 1], [12, 1]], 230749/171992678400], [[[1, 7], [2, 6], [3, 1], [6, 1], [8, 1], [10, 1]], 1784611/286654464000], [[[1, 7], [2, 6], [3, 1], [6, 1], [8, 1], [12, 1]], 171157/137594142720], [[[1, 7], [2, 6], [3, 1], [6, 1], [10, 1], [12, 1]], 835411/859963392000], [[[1, 7], [2, 6], [3, 2], [4, 1], [5, 1], [6, 1]], 15567223/1146617856000], [[[1, 7], [2, 6], [3, 2], [4, 1], [6, 1], [8, 1]], 87040511/4623163195392], [[[1, 7], [2, 6], [3, 2], [4, 1], [6, 1], [10, 1]], 27229757/3439853568000], [[[1, 7], [2, 6], [3, 2], [4, 1], [6, 1], [12, 1]], 201310781/16511297126400], [[[1, 7], [2, 6], [4, 1], [5, 1], [6, 1], [8, 1]], 1235297/191102976000], [[[1, 7], [2, 6], [4, 1], [5, 1], [6, 1], [10, 1]], 99697/8847360000], [[[1, 7], [2, 6], [4, 1], [5, 1], [6, 1], [12, 1]], 155629/63700992000], [[[1, 7], [2, 6], [4, 1], [6, 1], [8, 1], [10, 1]], 652823/111476736000], [[[1, 7], [2, 6], [4, 1], [6, 1], [8, 1], [12, 1]], 1468091/428070666240], [[[1, 7], [2, 6], [4, 1], [6, 1], [10, 1], [12, 1]], 99521/63700992000], [[[1, 7], [2, 8], [3, 1], [4, 1], [5, 1], [6, 1]], 1406839/483729408000], [[[1, 7], [2, 8], [3, 1], [4, 1], [6, 1], [8, 1]], 866087717/173368619827200], [[[1, 7], [2, 8], [3, 1], [4, 1], [6, 1], [10, 1]], 6067577/1547934105600], [[[1, 7], [2, 8], [3, 1], [4, 1], [6, 1], [12, 1]], 18506861/16253308108800], [[[1, 7], [3, 1], [4, 1], [5, 1], [7, 1], [8, 1]], 1/430080], [[[1, 7], [3, 1], [4, 1], [5, 1], [8, 1], [9, 1]], 11/16588800], [[[1, 7], [3, 1], [4, 1], [6, 2], [7, 1], [8, 1]], 1/6193152], [[[1, 7], [3, 1], [4, 1], [6, 2], [8, 1], [9, 1]], 1/23887872], [[[1, 7], [3, 1], [4, 1], [7, 1], [8, 1], [12, 1]], 1/1032192], [[[1, 7], [3, 1], [4, 1], [8, 1], [9, 1], [12, 1]], 1/3981312], [[[1, 7], [3, 1], [4, 2], [5, 1], [6, 1], [18, 1]], 13/597196800], [[[1, 7], [3, 1], [4, 2], [5, 1], [6, 2], [12, 1]], 103/9555148800], [[[1, 7], [3, 1], [4, 2], [6, 1], [12, 1], [18, 1]], 151/38698352640], [[[1, 7], [3, 1], [5, 1], [6, 1], [12, 1], [18, 1]], 1/18662400], [[[1, 7], [3, 2], [4, 1], [5, 1], [6, 2], [8, 1]], 41/530841600], [[[1, 7], [3, 2], [4, 1], [5, 1], [8, 1], [12, 1]], 41/88473600], [[[1, 7], [3, 2], [4, 1], [6, 1], [8, 1], [18, 1]], 1/35831808], [[[1, 7], [3, 2], [4, 1], [6, 2], [8, 1], [12, 1]], 7/191102976], [[[1, 7], [4, 1], [5, 1], [6, 1], [8, 1], [18, 1]], 1/16588800], [[[1, 7], [4, 1], [5, 1], [6, 2], [8, 1], [12, 1]], 1/88473600], [[[1, 8], [2, 1], [3, 1], [4, 1], [5, 1], [6, 4]], 137/7739670528000], [[[1, 8], [2, 1], [3, 1], [4, 1], [5, 1], [8, 2]], 481/1911029760], [[[1, 8], [2, 1], [3, 1], [4, 1], [5, 1], [10, 2]], 137/29859840000], [[[1, 8], [2, 1], [3, 1], [4, 1], [5, 1], [12, 2]], 373/2866544640], [[[1, 8], [2, 1], [3, 1], [4, 1], [5, 1], [15, 1]], 137/1492992000], [[[1, 8], [2, 1], [3, 1], [4, 1], [5, 1], [20, 1]], 137/995328000], [[[1, 8], [2, 1], [3, 1], [4, 1], [5, 1], [24, 1]], 137/1194393600], [[[1, 8], [2, 1], [3, 1], [4, 1], [5, 1], [30, 1]], 137/1492992000], [[[1, 8], [2, 1], [3, 1], [4, 1], [5, 2], [6, 2]], 193/15925248000], [[[1, 8], [2, 1], [3, 1], [4, 1], [5, 2], [8, 1]], 57071/47775744000], [[[1, 8], [2, 1], [3, 1], [4, 1], [5, 2], [10, 1]], 2593/14929920000], [[[1, 8], [2, 1], [3, 1], [4, 1], [5, 2], [12, 1]], 5191/14332723200], [[[1, 8], [2, 1], [3, 1], [4, 1], [6, 2], [8, 2]], 61/5096079360], [[[1, 8], [2, 1], [3, 1], [4, 1], [6, 2], [10, 2]], 1/15925248000], [[[1, 8], [2, 1], [3, 1], [4, 1], [6, 2], [12, 2]], 79/68797071360], [[[1, 8], [2, 1], [3, 1], [4, 1], [6, 2], [15, 1]], 1/796262400], [[[1, 8], [2, 1], [3, 1], [4, 1], [6, 2], [20, 1]], 1/530841600], [[[1, 8], [2, 1], [3, 1], [4, 1], [6, 2], [24, 1]], 1/637009920], [[[1, 8], [2, 1], [3, 1], [4, 1], [6, 2], [30, 1]], 1/796262400], [[[1, 8], [2, 1], [3, 1], [4, 1], [6, 3], [7, 1]], 1/27869184], [[[1, 8], [2, 1], [3, 1], [4, 1], [6, 3], [9, 1]], 1/107495424], [[[1, 8], [2, 1], [3, 1], [4, 1], [6, 3], [18, 1]], 1/1433272320], [[[1, 8], [2, 1], [3, 1], [4, 1], [6, 4], [8, 1]], 47/12383472844800], [[[1, 8], [2, 1], [3, 1], [4, 1], [6, 4], [10, 1]], 1/3869835264000], [[[1, 8], [2, 1], [3, 1], [4, 1], [6, 4], [12, 1]], 493/3715041853440], [[[1, 8], [2, 1], [3, 1], [4, 1], [7, 1], [9, 1]], 41/46448640], [[[1, 8], [2, 1], [3, 1], [4, 1], [7, 1], [14, 1]], 1/34836480], [[[1, 8], [2, 1], [3, 1], [4, 1], [8, 1], [10, 2]], 47/47775744000], [[[1, 8], [2, 1], [3, 1], [4, 1], [8, 1], [12, 2]], 47/22932357120], [[[1, 8], [2, 1], [3, 1], [4, 1], [8, 1], [15, 1]], 47/2388787200], [[[1, 8], [2, 1], [3, 1], [4, 1], [8, 1], [16, 1]], 1/15925248], [[[1, 8], [2, 1], [3, 1], [4, 1], [8, 1], [20, 1]], 79/1592524800], [[[1, 8], [2, 1], [3, 1], [4, 1], [8, 1], [24, 1]], 37/637009920], [[[1, 8], [2, 1], [3, 1], [4, 1], [8, 1], [30, 1]], 47/2388787200], [[[1, 8], [2, 1], [3, 1], [4, 1], [8, 2], [10, 1]], 1/4777574400], [[[1, 8], [2, 1], [3, 1], [4, 1], [8, 2], [12, 1]], 331/4586471424], [[[1, 8], [2, 1], [3, 1], [4, 1], [9, 1], [18, 1]], 1/44789760], [[[1, 8], [2, 1], [3, 1], [4, 1], [10, 1], [12, 2]], 1/7166361600], [[[1, 8], [2, 1], [3, 1], [4, 1], [10, 1], [15, 1]], 1/746496000], [[[1, 8], [2, 1], [3, 1], [4, 1], [10, 1], [20, 1]], 1/497664000], [[[1, 8], [2, 1], [3, 1], [4, 1], [10, 1], [24, 1]], 1/597196800], [[[1, 8], [2, 1], [3, 1], [4, 1], [10, 1], [30, 1]], 1/746496000], [[[1, 8], [2, 1], [3, 1], [4, 1], [10, 2], [12, 1]], 7/14332723200], [[[1, 8], [2, 1], [3, 1], [4, 1], [12, 1], [15, 1]], 7/716636160], [[[1, 8], [2, 1], [3, 1], [4, 1], [12, 1], [16, 1]], 1/59719680], [[[1, 8], [2, 1], [3, 1], [4, 1], [12, 1], [20, 1]], 67/2388787200], [[[1, 8], [2, 1], [3, 1], [4, 1], [12, 1], [24, 1]], 83/2866544640], [[[1, 8], [2, 1], [3, 1], [4, 1], [12, 1], [30, 1]], 7/716636160], [[[1, 8], [2, 1], [3, 1], [4, 2], [5, 1], [6, 3]], 13/28665446400], [[[1, 8], [2, 1], [3, 1], [4, 2], [5, 1], [7, 1]], 19/34406400], [[[1, 8], [2, 1], [3, 1], [4, 2], [5, 1], [9, 1]], 139/796262400], [[[1, 8], [2, 1], [3, 1], [4, 2], [5, 1], [14, 1]], 13/309657600], [[[1, 8], [2, 1], [3, 1], [4, 2], [5, 1], [18, 1]], 13/398131200], [[[1, 8], [2, 1], [3, 1], [4, 2], [5, 2], [6, 1]], 1/3185049600], [[[1, 8], [2, 1], [3, 1], [4, 2], [6, 1], [8, 2]], 109/1019215872], [[[1, 8], [2, 1], [3, 1], [4, 2], [6, 1], [10, 2]], 1/3185049600], [[[1, 8], [2, 1], [3, 1], [4, 2], [6, 1], [12, 2]], 347/68797071360], [[[1, 8], [2, 1], [3, 1], [4, 2], [6, 1], [15, 1]], 1/159252480], [[[1, 8], [2, 1], [3, 1], [4, 2], [6, 1], [20, 1]], 1/106168320], [[[1, 8], [2, 1], [3, 1], [4, 2], [6, 1], [24, 1]], 1/127401984], [[[1, 8], [2, 1], [3, 1], [4, 2], [6, 1], [30, 1]], 1/159252480], [[[1, 8], [2, 1], [3, 1], [4, 2], [6, 2], [7, 1]], 17/891813888], [[[1, 8], [2, 1], [3, 1], [4, 2], [6, 2], [9, 1]], 19/3439853568], [[[1, 8], [2, 1], [3, 1], [4, 2], [6, 2], [14, 1]], 1/891813888], [[[1, 8], [2, 1], [3, 1], [4, 2], [6, 2], [18, 1]], 5/1146617856], [[[1, 8], [2, 1], [3, 1], [4, 2], [6, 3], [8, 1]], 13/1528823808], [[[1, 8], [2, 1], [3, 1], [4, 2], [6, 3], [10, 1]], 1/1911029760], [[[1, 8], [2, 1], [3, 1], [4, 2], [6, 3], [12, 1]], 2581/1857520926720], [[[1, 8], [2, 1], [3, 1], [4, 2], [7, 1], [8, 1]], 41/49545216], [[[1, 8], [2, 1], [3, 1], [4, 2], [7, 1], [12, 1]], 2903/20065812480], [[[1, 8], [2, 1], [3, 1], [4, 2], [8, 1], [9, 1]], 281/1274019840], [[[1, 8], [2, 1], [3, 1], [4, 2], [9, 1], [12, 1]], 224471/5417769369600], [[[1, 8], [2, 1], [3, 1], [4, 2], [12, 1], [14, 1]], 151/20065812480], [[[1, 8], [2, 1], [3, 1], [4, 2], [12, 1], [18, 1]], 151/25798901760], [[[1, 8], [2, 1], [3, 1], [4, 3], [5, 1], [6, 2]], 1/707788800], [[[1, 8], [2, 1], [3, 1], [4, 3], [5, 1], [8, 1]], 1/4915200], [[[1, 8], [2, 1], [3, 1], [4, 3], [5, 1], [10, 1]], 13/442368000], [[[1, 8], [2, 1], [3, 1], [4, 3], [5, 1], [12, 1]], 2743/28665446400], [[[1, 8], [2, 1], [3, 1], [4, 3], [6, 1], [7, 1]], 5/74317824], [[[1, 8], [2, 1], [3, 1], [4, 3], [6, 1], [9, 1]], 7/382205952], [[[1, 8], [2, 1], [3, 1], [4, 3], [6, 1], [18, 1]], 191/51597803520], [[[1, 8], [2, 1], [3, 1], [4, 3], [6, 2], [8, 1]], 13/2038431744], [[[1, 8], [2, 1], [3, 1], [4, 3], [6, 2], [10, 1]], 1/1274019840], [[[1, 8], [2, 1], [3, 1], [4, 3], [6, 2], [12, 1]], 139/55037657088], [[[1, 8], [2, 1], [3, 1], [4, 3], [8, 1], [12, 1]], 2323/45864714240], [[[1, 8], [2, 1], [3, 1], [4, 3], [10, 1], [12, 1]], 151/28665446400], [[[1, 8], [2, 1], [3, 1], [4, 4], [5, 1], [6, 1]], 1/15925248000], [[[1, 8], [2, 1], [3, 1], [4, 4], [6, 1], [8, 1]], 21601/1375941427200], [[[1, 8], [2, 1], [3, 1], [4, 4], [6, 1], [10, 1]], 1351/1719926784000], [[[1, 8], [2, 1], [3, 1], [4, 4], [6, 1], [12, 1]], 4951/1375941427200], [[[1, 8], [2, 1], [3, 1], [5, 1], [6, 1], [8, 2]], 1/66355200], [[[1, 8], [2, 1], [3, 1], [5, 1], [6, 1], [10, 2]], 1/207360000], [[[1, 8], [2, 1], [3, 1], [5, 1], [6, 1], [12, 2]], 7/99532800], [[[1, 8], [2, 1], [3, 1], [5, 1], [6, 1], [15, 1]], 1/10368000], [[[1, 8], [2, 1], [3, 1], [5, 1], [6, 1], [20, 1]], 1/6912000], [[[1, 8], [2, 1], [3, 1], [5, 1], [6, 1], [24, 1]], 1/8294400], [[[1, 8], [2, 1], [3, 1], [5, 1], [6, 1], [30, 1]], 1/10368000], [[[1, 8], [2, 1], [3, 1], [5, 1], [6, 2], [7, 1]], 1/3870720], [[[1, 8], [2, 1], [3, 1], [5, 1], [6, 2], [9, 1]], 17/223948800], [[[1, 8], [2, 1], [3, 1], [5, 1], [6, 2], [14, 1]], 1/58060800], [[[1, 8], [2, 1], [3, 1], [5, 1], [6, 2], [18, 1]], 1/14929920], [[[1, 8], [2, 1], [3, 1], [5, 1], [6, 3], [8, 1]], 1/99532800], [[[1, 8], [2, 1], [3, 1], [5, 1], [6, 3], [10, 1]], 1/124416000], [[[1, 8], [2, 1], [3, 1], [5, 1], [6, 3], [12, 1]], 19/895795200], [[[1, 8], [2, 1], [3, 1], [5, 1], [7, 1], [8, 1]], 1/921600], [[[1, 8], [2, 1], [3, 1], [5, 1], [7, 1], [12, 1]], 1/645120], [[[1, 8], [2, 1], [3, 1], [5, 1], [8, 1], [9, 1]], 1/3317760], [[[1, 8], [2, 1], [3, 1], [5, 1], [9, 1], [12, 1]], 17/37324800], [[[1, 8], [2, 1], [3, 1], [5, 1], [12, 1], [14, 1]], 1/9676800], [[[1, 8], [2, 1], [3, 1], [5, 1], [12, 1], [18, 1]], 1/12441600], [[[1, 8], [2, 1], [3, 1], [5, 2], [6, 1], [8, 1]], 2593/17915904000], [[[1, 8], [2, 1], [3, 1], [5, 2], [6, 1], [10, 1]], 2593/22394880000], [[[1, 8], [2, 1], [3, 1], [5, 2], [6, 1], [12, 1]], 2593/17915904000], [[[1, 8], [2, 1], [3, 1], [6, 1], [7, 1], [9, 1]], 1/870912], [[[1, 8], [2, 1], [3, 1], [6, 1], [7, 1], [18, 1]], 19/470292480], [[[1, 8], [2, 1], [3, 1], [6, 1], [8, 1], [10, 2]], 1/17915904000], [[[1, 8], [2, 1], [3, 1], [6, 1], [8, 1], [12, 2]], 1/8599633920], [[[1, 8], [2, 1], [3, 1], [6, 1], [8, 1], [15, 1]], 1/895795200], [[[1, 8], [2, 1], [3, 1], [6, 1], [8, 1], [20, 1]], 1/597196800], [[[1, 8], [2, 1], [3, 1], [6, 1], [8, 1], [24, 1]], 1/716636160], [[[1, 8], [2, 1], [3, 1], [6, 1], [8, 1], [30, 1]], 1/895795200], [[[1, 8], [2, 1], [3, 1], [6, 1], [8, 2], [10, 1]], 1/7166361600], [[[1, 8], [2, 1], [3, 1], [6, 1], [8, 2], [12, 1]], 1/5733089280], [[[1, 8], [2, 1], [3, 1], [6, 1], [9, 1], [18, 1]], 1721/145118822400], [[[1, 8], [2, 1], [3, 1], [6, 1], [10, 1], [12, 2]], 1/10749542400], [[[1, 8], [2, 1], [3, 1], [6, 1], [10, 1], [15, 1]], 1/1119744000], [[[1, 8], [2, 1], [3, 1], [6, 1], [10, 1], [20, 1]], 1/746496000], [[[1, 8], [2, 1], [3, 1], [6, 1], [10, 1], [24, 1]], 1/895795200], [[[1, 8], [2, 1], [3, 1], [6, 1], [10, 1], [30, 1]], 1/1119744000], [[[1, 8], [2, 1], [3, 1], [6, 1], [10, 2], [12, 1]], 1/17915904000], [[[1, 8], [2, 1], [3, 1], [6, 1], [12, 1], [15, 1]], 1/895795200], [[[1, 8], [2, 1], [3, 1], [6, 1], [12, 1], [20, 1]], 1/597196800], [[[1, 8], [2, 1], [3, 1], [6, 1], [12, 1], [24, 1]], 1/716636160], [[[1, 8], [2, 1], [3, 1], [6, 1], [12, 1], [30, 1]], 1/895795200], [[[1, 8], [2, 1], [3, 1], [6, 1], [14, 1], [18, 1]], 1/940584960], [[[1, 8], [2, 1], [3, 1], [6, 2], [7, 1], [8, 1]], 1/18579456], [[[1, 8], [2, 1], [3, 1], [6, 2], [7, 1], [12, 1]], 19/2508226560], [[[1, 8], [2, 1], [3, 1], [6, 2], [8, 1], [9, 1]], 1/71663616], [[[1, 8], [2, 1], [3, 1], [6, 2], [8, 1], [18, 1]], 1/1612431360], [[[1, 8], [2, 1], [3, 1], [6, 2], [9, 1], [12, 1]], 44921/21671077478400], [[[1, 8], [2, 1], [3, 1], [6, 2], [10, 1], [18, 1]], 1/2015539200], [[[1, 8], [2, 1], [3, 1], [6, 2], [12, 1], [14, 1]], 1/5016453120], [[[1, 8], [2, 1], [3, 1], [6, 2], [12, 1], [18, 1]], 1/1289945088], [[[1, 8], [2, 1], [3, 1], [6, 3], [8, 1], [12, 1]], 1/8599633920], [[[1, 8], [2, 1], [3, 1], [6, 3], [10, 1], [12, 1]], 1/10749542400], [[[1, 8], [2, 1], [3, 1], [7, 1], [8, 1], [12, 1]], 1/3096576], [[[1, 8], [2, 1], [3, 1], [8, 1], [9, 1], [12, 1]], 1/11943936], [[[1, 8], [2, 1], [3, 2], [4, 1], [5, 1], [6, 3]], 19/796262400], [[[1, 8], [2, 1], [3, 2], [4, 1], [5, 1], [7, 1]], 1/580608], [[[1, 8], [2, 1], [3, 2], [4, 1], [5, 1], [9, 1]], 1337/2687385600], [[[1, 8], [2, 1], [3, 2], [4, 1], [5, 2], [6, 1]], 731/3359232000], [[[1, 8], [2, 1], [3, 2], [4, 1], [6, 1], [8, 2]], 143/4299816960], [[[1, 8], [2, 1], [3, 2], [4, 1], [6, 1], [10, 2]], 1/1679616000], [[[1, 8], [2, 1], [3, 2], [4, 1], [6, 1], [12, 2]], 161/6449725440], [[[1, 8], [2, 1], [3, 2], [4, 1], [6, 1], [15, 1]], 1/83980800], [[[1, 8], [2, 1], [3, 2], [4, 1], [6, 1], [16, 1]], 1/59719680], [[[1, 8], [2, 1], [3, 2], [4, 1], [6, 1], [20, 1]], 1/55987200], [[[1, 8], [2, 1], [3, 2], [4, 1], [6, 1], [24, 1]], 17/537477120], [[[1, 8], [2, 1], [3, 2], [4, 1], [6, 1], [30, 1]], 1/83980800], [[[1, 8], [2, 1], [3, 2], [4, 1], [6, 2], [7, 1]], 23/212336640], [[[1, 8], [2, 1], [3, 2], [4, 1], [6, 2], [9, 1]], 11/382205952], [[[1, 8], [2, 1], [3, 2], [4, 1], [6, 2], [18, 1]], 1/151165440], [[[1, 8], [2, 1], [3, 2], [4, 1], [6, 3], [8, 1]], 55/1719926784], [[[1, 8], [2, 1], [3, 2], [4, 1], [6, 3], [12, 1]], 53/6449725440], [[[1, 8], [2, 1], [3, 2], [4, 1], [7, 1], [8, 1]], 1/1032192], [[[1, 8], [2, 1], [3, 2], [4, 1], [7, 1], [10, 1]], 1/5806080], [[[1, 8], [2, 1], [3, 2], [4, 1], [7, 1], [12, 1]], 2089/2229534720], [[[1, 8], [2, 1], [3, 2], [4, 1], [8, 1], [9, 1]], 1247/4299816960], [[[1, 8], [2, 1], [3, 2], [4, 1], [8, 1], [14, 1]], 1/18579456], [[[1, 8], [2, 1], [3, 2], [4, 1], [8, 1], [18, 1]], 1/23887872], [[[1, 8], [2, 1], [3, 2], [4, 1], [9, 1], [10, 1]], 61/1343692800], [[[1, 8], [2, 1], [3, 2], [4, 1], [9, 1], [12, 1]], 6407/25798901760], [[[1, 8], [2, 1], [3, 2], [4, 2], [5, 1], [6, 2]], 533/25480396800], [[[1, 8], [2, 1], [3, 2], [4, 2], [5, 1], [8, 1]], 233/530841600], [[[1, 8], [2, 1], [3, 2], [4, 2], [5, 1], [12, 1]], 61093/343985356800], [[[1, 8], [2, 1], [3, 2], [4, 2], [6, 1], [7, 1]], 65/297271296], [[[1, 8], [2, 1], [3, 2], [4, 2], [6, 1], [9, 1]], 23/382205952], [[[1, 8], [2, 1], [3, 2], [4, 2], [6, 1], [18, 1]], 433/77396705280], [[[1, 8], [2, 1], [3, 2], [4, 2], [6, 2], [8, 1]], 367/13589544960], [[[1, 8], [2, 1], [3, 2], [4, 2], [6, 2], [12, 1]], 1088093/173368619827200], [[[1, 8], [2, 1], [3, 2], [4, 2], [8, 1], [10, 1]], 1/26542080], [[[1, 8], [2, 1], [3, 2], [4, 2], [8, 1], [12, 1]], 127837/550376570880], [[[1, 8], [2, 1], [3, 2], [4, 3], [5, 1], [6, 1]], 11/265420800], [[[1, 8], [2, 1], [3, 2], [4, 3], [6, 1], [8, 1]], 9031/183458856960], [[[1, 8], [2, 1], [3, 2], [4, 3], [6, 1], [12, 1]], 19639/825564856320], [[[1, 8], [2, 1], [3, 2], [5, 1], [6, 1], [7, 1]], 41/19353600], [[[1, 8], [2, 1], [3, 2], [5, 1], [6, 1], [9, 1]], 1/1658880], [[[1, 8], [2, 1], [3, 2], [5, 1], [6, 1], [18, 1]], 7/100776960], [[[1, 8], [2, 1], [3, 2], [5, 1], [6, 2], [8, 1]], 19/530841600], [[[1, 8], [2, 1], [3, 2], [5, 1], [6, 2], [12, 1]], 47/671846400], [[[1, 8], [2, 1], [3, 2], [5, 1], [8, 1], [12, 1]], 19/88473600], [[[1, 8], [2, 1], [3, 2], [6, 1], [7, 1], [8, 1]], 1/6967296], [[[1, 8], [2, 1], [3, 2], [6, 1], [7, 1], [10, 1]], 1/8709120], [[[1, 8], [2, 1], [3, 2], [6, 1], [7, 1], [12, 1]], 1/995328], [[[1, 8], [2, 1], [3, 2], [6, 1], [8, 1], [9, 1]], 61/1612431360], [[[1, 8], [2, 1], [3, 2], [6, 1], [8, 1], [18, 1]], 1/100776960], [[[1, 8], [2, 1], [3, 2], [6, 1], [9, 1], [10, 1]], 61/2015539200], [[[1, 8], [2, 1], [3, 2], [6, 1], [9, 1], [12, 1]], 421/1612431360], [[[1, 8], [2, 1], [3, 2], [6, 1], [12, 1], [18, 1]], 179321/21671077478400], [[[1, 8], [2, 1], [3, 2], [6, 2], [8, 1], [12, 1]], 53/4299816960], [[[1, 8], [2, 1], [3, 3], [4, 1], [5, 1], [6, 2]], 4937/85996339200], [[[1, 8], [2, 1], [3, 3], [4, 1], [5, 1], [8, 1]], 23/49766400], [[[1, 8], [2, 1], [3, 3], [4, 1], [5, 1], [10, 1]], 61/746496000], [[[1, 8], [2, 1], [3, 3], [4, 1], [5, 1], [12, 1]], 6889/14332723200], [[[1, 8], [2, 1], [3, 3], [4, 1], [6, 1], [7, 1]], 25/250822656], [[[1, 8], [2, 1], [3, 3], [4, 1], [6, 1], [9, 1]], 157/4837294080], [[[1, 8], [2, 1], [3, 3], [4, 1], [6, 1], [18, 1]], 241/12899450880], [[[1, 8], [2, 1], [3, 3], [4, 1], [6, 2], [8, 1]], 4847/137594142720], [[[1, 8], [2, 1], [3, 3], [4, 1], [6, 2], [10, 1]], 241/42998169600], [[[1, 8], [2, 1], [3, 3], [4, 1], [6, 2], [12, 1]], 7601/206391214080], [[[1, 8], [2, 1], [3, 3], [4, 1], [8, 1], [12, 1]], 4847/22932357120], [[[1, 8], [2, 1], [3, 3], [4, 1], [10, 1], [12, 1]], 241/7166361600], [[[1, 8], [2, 1], [3, 3], [4, 2], [5, 1], [6, 1]], 37/353894400], [[[1, 8], [2, 1], [3, 3], [4, 2], [6, 1], [8, 1]], 397/13759414272], [[[1, 8], [2, 1], [3, 3], [4, 2], [6, 1], [10, 1]], 97/17199267840], [[[1, 8], [2, 1], [3, 3], [4, 2], [6, 1], [12, 1]], 14221/206391214080], [[[1, 8], [2, 1], [3, 3], [5, 1], [6, 1], [8, 1]], 61/895795200], [[[1, 8], [2, 1], [3, 3], [5, 1], [6, 1], [10, 1]], 61/1119744000], [[[1, 8], [2, 1], [3, 3], [5, 1], [6, 1], [12, 1]], 439/895795200], [[[1, 8], [2, 1], [3, 3], [6, 1], [8, 1], [12, 1]], 241/8599633920], [[[1, 8], [2, 1], [3, 3], [6, 1], [10, 1], [12, 1]], 241/10749542400], [[[1, 8], [2, 1], [3, 4], [4, 1], [5, 1], [6, 1]], 1129/23887872000], [[[1, 8], [2, 1], [3, 4], [4, 1], [6, 1], [8, 1]], 5/573308928], [[[1, 8], [2, 1], [3, 4], [4, 1], [6, 1], [12, 1]], 133/6449725440], [[[1, 8], [2, 1], [4, 1], [5, 1], [6, 1], [8, 2]], 19/265420800], [[[1, 8], [2, 1], [4, 1], [5, 1], [6, 1], [10, 2]], 1/829440000], [[[1, 8], [2, 1], [4, 1], [5, 1], [6, 1], [12, 2]], 1/398131200], [[[1, 8], [2, 1], [4, 1], [5, 1], [6, 1], [15, 1]], 1/41472000], [[[1, 8], [2, 1], [4, 1], [5, 1], [6, 1], [20, 1]], 1/27648000], [[[1, 8], [2, 1], [4, 1], [5, 1], [6, 1], [24, 1]], 1/33177600], [[[1, 8], [2, 1], [4, 1], [5, 1], [6, 1], [30, 1]], 1/41472000], [[[1, 8], [2, 1], [4, 1], [5, 1], [6, 2], [18, 1]], 1/74649600], [[[1, 8], [2, 1], [4, 1], [5, 1], [6, 3], [8, 1]], 1/796262400], [[[1, 8], [2, 1], [4, 1], [5, 1], [6, 3], [12, 1]], 1/398131200], [[[1, 8], [2, 1], [4, 1], [5, 1], [7, 1], [8, 1]], 11/4300800], [[[1, 8], [2, 1], [4, 1], [5, 1], [7, 1], [10, 1]], 1/2688000], [[[1, 8], [2, 1], [4, 1], [5, 1], [7, 1], [12, 1]], 1/1612800], [[[1, 8], [2, 1], [4, 1], [5, 1], [8, 1], [9, 1]], 1/1382400], [[[1, 8], [2, 1], [4, 1], [5, 1], [8, 1], [14, 1]], 1/8601600], [[[1, 8], [2, 1], [4, 1], [5, 1], [8, 1], [18, 1]], 1/11059200], [[[1, 8], [2, 1], [4, 1], [5, 1], [9, 1], [10, 1]], 1/10368000], [[[1, 8], [2, 1], [4, 1], [5, 1], [9, 1], [12, 1]], 1/6220800], [[[1, 8], [2, 1], [4, 1], [6, 1], [7, 1], [9, 1]], 1/3483648], [[[1, 8], [2, 1], [4, 1], [6, 1], [7, 1], [18, 1]], 1/46448640], [[[1, 8], [2, 1], [4, 1], [6, 1], [9, 1], [18, 1]], 1/179159040], [[[1, 8], [2, 1], [4, 1], [6, 2], [7, 1], [12, 1]], 1/247726080], [[[1, 8], [2, 1], [4, 1], [6, 2], [9, 1], [12, 1]], 1/955514880], [[[1, 8], [2, 1], [4, 2], [5, 1], [6, 1], [18, 1]], 23/2388787200], [[[1, 8], [2, 1], [4, 2], [5, 1], [6, 2], [12, 1]], 23/12740198400], [[[1, 8], [2, 1], [4, 2], [5, 1], [8, 1], [10, 1]], 1/12288000], [[[1, 8], [2, 1], [4, 2], [5, 1], [8, 1], [12, 1]], 1/6635520], [[[1, 8], [2, 1], [4, 2], [6, 1], [7, 1], [8, 1]], 13/49545216], [[[1, 8], [2, 1], [4, 2], [6, 1], [7, 1], [10, 1]], 1/61931520], [[[1, 8], [2, 1], [4, 2], [6, 1], [7, 1], [12, 1]], 1/49545216], [[[1, 8], [2, 1], [4, 2], [6, 1], [8, 1], [9, 1]], 13/191102976], [[[1, 8], [2, 1], [4, 2], [6, 1], [8, 1], [18, 1]], 23/3822059520], [[[1, 8], [2, 1], [4, 2], [6, 1], [9, 1], [10, 1]], 1/238878720], [[[1, 8], [2, 1], [4, 2], [6, 1], [9, 1], [12, 1]], 1/191102976], [[[1, 8], [2, 1], [4, 2], [6, 1], [12, 1], [18, 1]], 121/5417769369600], [[[1, 8], [2, 1], [4, 2], [6, 2], [8, 1], [12, 1]], 23/20384317440], [[[1, 8], [2, 1], [4, 3], [5, 1], [6, 1], [12, 1]], 1/99532800], [[[1, 8], [2, 1], [4, 3], [6, 1], [8, 1], [10, 1]], 1/283115520], [[[1, 8], [2, 1], [4, 3], [6, 1], [8, 1], [12, 1]], 1/226492416], [[[1, 8], [2, 1], [5, 1], [6, 1], [7, 1], [8, 1]], 1/3225600], [[[1, 8], [2, 1], [5, 1], [6, 1], [7, 1], [10, 1]], 1/4032000], [[[1, 8], [2, 1], [5, 1], [6, 1], [7, 1], [12, 1]], 1/3225600], [[[1, 8], [2, 1], [5, 1], [6, 1], [8, 1], [9, 1]], 1/12441600], [[[1, 8], [2, 1], [5, 1], [6, 1], [8, 1], [18, 1]], 1/49766400], [[[1, 8], [2, 1], [5, 1], [6, 1], [9, 1], [10, 1]], 1/15552000], [[[1, 8], [2, 1], [5, 1], [6, 1], [9, 1], [12, 1]], 1/12441600], [[[1, 8], [2, 1], [5, 1], [6, 2], [8, 1], [12, 1]], 1/265420800], [[[1, 8], [2, 3], [3, 1], [4, 1], [5, 1], [6, 3]], 81359/386983526400], [[[1, 8], [2, 3], [3, 1], [4, 1], [5, 1], [7, 1]], 10613/1393459200], [[[1, 8], [2, 3], [3, 1], [4, 1], [5, 1], [9, 1]], 145567/50164531200], [[[1, 8], [2, 3], [3, 1], [4, 1], [5, 1], [14, 1]], 2209/1393459200], [[[1, 8], [2, 3], [3, 1], [4, 1], [5, 1], [18, 1]], 6353/5374771200], [[[1, 8], [2, 3], [3, 1], [4, 1], [5, 2], [6, 1]], 2837039/1003290624000], [[[1, 8], [2, 3], [3, 1], [4, 1], [6, 1], [8, 2]], 631199/321052999680], [[[1, 8], [2, 3], [3, 1], [4, 1], [6, 1], [10, 2]], 38159/1003290624000], [[[1, 8], [2, 3], [3, 1], [4, 1], [6, 1], [12, 2]], 114391/481579499520], [[[1, 8], [2, 3], [3, 1], [4, 1], [6, 1], [15, 1]], 12623/50164531200], [[[1, 8], [2, 3], [3, 1], [4, 1], [6, 1], [16, 1]], 13/445906944], [[[1, 8], [2, 3], [3, 1], [4, 1], [6, 1], [20, 1]], 12623/33443020800], [[[1, 8], [2, 3], [3, 1], [4, 1], [6, 1], [24, 1]], 18329/40131624960], [[[1, 8], [2, 3], [3, 1], [4, 1], [6, 1], [30, 1]], 12623/50164531200], [[[1, 8], [2, 3], [3, 1], [4, 1], [6, 2], [7, 1]], 2357/743178240], [[[1, 8], [2, 3], [3, 1], [4, 1], [6, 2], [9, 1]], 8213/8599633920], [[[1, 8], [2, 3], [3, 1], [4, 1], [6, 2], [14, 1]], 37/148635648], [[[1, 8], [2, 3], [3, 1], [4, 1], [6, 2], [18, 1]], 12017/36118462464], [[[1, 8], [2, 3], [3, 1], [4, 1], [6, 3], [8, 1]], 94027/309586821120], [[[1, 8], [2, 3], [3, 1], [4, 1], [6, 3], [10, 1]], 50849/386983526400], [[[1, 8], [2, 3], [3, 1], [4, 1], [6, 3], [12, 1]], 515957/2600529297408], [[[1, 8], [2, 3], [3, 1], [4, 1], [7, 1], [8, 1]], 133/26542080], [[[1, 8], [2, 3], [3, 1], [4, 1], [7, 1], [10, 1]], 1153/696729600], [[[1, 8], [2, 3], [3, 1], [4, 1], [7, 1], [12, 1]], 1049/477757440], [[[1, 8], [2, 3], [3, 1], [4, 1], [8, 1], [9, 1]], 15848621/9631589990400], [[[1, 8], [2, 3], [3, 1], [4, 1], [8, 1], [14, 1]], 659/1114767360], [[[1, 8], [2, 3], [3, 1], [4, 1], [8, 1], [18, 1]], 193/429981696], [[[1, 8], [2, 3], [3, 1], [4, 1], [9, 1], [10, 1]], 23347/50164531200], [[[1, 8], [2, 3], [3, 1], [4, 1], [9, 1], [12, 1]], 5401/7524679680], [[[1, 8], [2, 3], [3, 1], [4, 1], [10, 1], [14, 1]], 19/348364800], [[[1, 8], [2, 3], [3, 1], [4, 1], [10, 1], [18, 1]], 7/167961600], [[[1, 8], [2, 3], [3, 1], [4, 1], [12, 1], [14, 1]], 979/3344302080], [[[1, 8], [2, 3], [3, 1], [4, 1], [12, 1], [18, 1]], 2867/12899450880], [[[1, 8], [2, 3], [3, 1], [4, 2], [5, 1], [6, 2]], 2513/3822059520], [[[1, 8], [2, 3], [3, 1], [4, 2], [5, 1], [8, 1]], 34687/6370099200], [[[1, 8], [2, 3], [3, 1], [4, 2], [5, 1], [10, 1]], 3187/1990656000], [[[1, 8], [2, 3], [3, 1], [4, 2], [5, 1], [12, 1]], 163309/66886041600], [[[1, 8], [2, 3], [3, 1], [4, 2], [6, 1], [7, 1]], 18451/5016453120], [[[1, 8], [2, 3], [3, 1], [4, 2], [6, 1], [9, 1]], 49298951/43342154956800], [[[1, 8], [2, 3], [3, 1], [4, 2], [6, 1], [14, 1]], 3043/10032906240], [[[1, 8], [2, 3], [3, 1], [4, 2], [6, 1], [18, 1]], 33283/103195607040], [[[1, 8], [2, 3], [3, 1], [4, 2], [6, 2], [8, 1]], 395377/275188285440], [[[1, 8], [2, 3], [3, 1], [4, 2], [6, 2], [10, 1]], 55277/171992678400], [[[1, 8], [2, 3], [3, 1], [4, 2], [6, 2], [12, 1]], 20290813/34673723965440], [[[1, 8], [2, 3], [3, 1], [4, 2], [8, 1], [10, 1]], 4387/6370099200], [[[1, 8], [2, 3], [3, 1], [4, 2], [8, 1], [12, 1]], 354937/192631799808], [[[1, 8], [2, 3], [3, 1], [4, 2], [10, 1], [12, 1]], 21271/85996339200], [[[1, 8], [2, 3], [3, 1], [4, 3], [5, 1], [6, 1]], 30539/28665446400], [[[1, 8], [2, 3], [3, 1], [4, 3], [6, 1], [8, 1]], 36181/20065812480], [[[1, 8], [2, 3], [3, 1], [4, 3], [6, 1], [10, 1]], 4169/14332723200], [[[1, 8], [2, 3], [3, 1], [4, 3], [6, 1], [12, 1]], 569147/481579499520], [[[1, 8], [2, 3], [3, 1], [5, 1], [6, 1], [7, 1]], 73/7741440], [[[1, 8], [2, 3], [3, 1], [5, 1], [6, 1], [9, 1]], 2953/895795200], [[[1, 8], [2, 3], [3, 1], [5, 1], [6, 1], [14, 1]], 197/116121600], [[[1, 8], [2, 3], [3, 1], [5, 1], [6, 1], [18, 1]], 1931/1393459200], [[[1, 8], [2, 3], [3, 1], [5, 1], [6, 2], [8, 1]], 967/796262400], [[[1, 8], [2, 3], [3, 1], [5, 1], [6, 2], [10, 1]], 73/82944000], [[[1, 8], [2, 3], [3, 1], [5, 1], [6, 2], [12, 1]], 74863/66886041600], [[[1, 8], [2, 3], [3, 1], [5, 1], [8, 1], [10, 1]], 7/18432000], [[[1, 8], [2, 3], [3, 1], [5, 1], [8, 1], [12, 1]], 143/132710400], [[[1, 8], [2, 3], [3, 1], [5, 1], [10, 1], [12, 1]], 11/20736000], [[[1, 8], [2, 3], [3, 1], [6, 1], [7, 1], [8, 1]], 907/209018880], [[[1, 8], [2, 3], [3, 1], [6, 1], [7, 1], [10, 1]], 667/348364800], [[[1, 8], [2, 3], [3, 1], [6, 1], [7, 1], [12, 1]], 229/313528320], [[[1, 8], [2, 3], [3, 1], [6, 1], [8, 1], [9, 1]], 79459/60197437440], [[[1, 8], [2, 3], [3, 1], [6, 1], [8, 1], [14, 1]], 11/29859840], [[[1, 8], [2, 3], [3, 1], [6, 1], [8, 1], [18, 1]], 59233/180592312320], [[[1, 8], [2, 3], [3, 1], [6, 1], [9, 1], [10, 1]], 2330261/4514807808000], [[[1, 8], [2, 3], [3, 1], [6, 1], [9, 1], [12, 1]], 2415341/10835538739200], [[[1, 8], [2, 3], [3, 1], [6, 1], [10, 1], [14, 1]], 13/348364800], [[[1, 8], [2, 3], [3, 1], [6, 1], [10, 1], [18, 1]], 343/8062156800], [[[1, 8], [2, 3], [3, 1], [6, 1], [12, 1], [14, 1]], 1/15676416], [[[1, 8], [2, 3], [3, 1], [6, 1], [12, 1], [18, 1]], 1217/22574039040], [[[1, 8], [2, 3], [3, 1], [6, 2], [8, 1], [10, 1]], 1367/7166361600], [[[1, 8], [2, 3], [3, 1], [6, 2], [8, 1], [12, 1]], 254449/963158999040], [[[1, 8], [2, 3], [3, 1], [6, 2], [10, 1], [12, 1]], 1393/42998169600], [[[1, 8], [2, 3], [3, 1], [8, 1], [10, 1], [12, 1]], 1/8847360], [[[1, 8], [2, 3], [3, 2], [4, 1], [5, 1], [6, 2]], 1017071/321052999680], [[[1, 8], [2, 3], [3, 2], [4, 1], [5, 1], [8, 1]], 11297/2388787200], [[[1, 8], [2, 3], [3, 2], [4, 1], [5, 1], [10, 1]], 3043/1492992000], [[[1, 8], [2, 3], [3, 2], [4, 1], [5, 1], [12, 1]], 2521217/802632499200], [[[1, 8], [2, 3], [3, 2], [4, 1], [6, 1], [7, 1]], 128497/20065812480], [[[1, 8], [2, 3], [3, 2], [4, 1], [6, 1], [9, 1]], 403253/180592312320], [[[1, 8], [2, 3], [3, 2], [4, 1], [6, 1], [14, 1]], 17009/20065812480], [[[1, 8], [2, 3], [3, 2], [4, 1], [6, 1], [18, 1]], 59009/77396705280], [[[1, 8], [2, 3], [3, 2], [4, 1], [6, 2], [8, 1]], 872543341/308210879692800], [[[1, 8], [2, 3], [3, 2], [4, 1], [6, 2], [10, 1]], 742669/963158999040], [[[1, 8], [2, 3], [3, 2], [4, 1], [6, 2], [12, 1]], 1035235/577895399424], [[[1, 8], [2, 3], [3, 2], [4, 1], [8, 1], [10, 1]], 1259/2388787200], [[[1, 8], [2, 3], [3, 2], [4, 1], [8, 1], [12, 1]], 29053007/17122826649600], [[[1, 8], [2, 3], [3, 2], [4, 1], [10, 1], [12, 1]], 118939/267544166400], [[[1, 8], [2, 3], [3, 2], [4, 2], [5, 1], [6, 1]], 8263/2687385600], [[[1, 8], [2, 3], [3, 2], [4, 2], [6, 1], [8, 1]], 1105867/275188285440], [[[1, 8], [2, 3], [3, 2], [4, 2], [6, 1], [10, 1]], 288529/343985356800], [[[1, 8], [2, 3], [3, 2], [4, 2], [6, 1], [12, 1]], 2033559581/693474479308800], [[[1, 8], [2, 3], [3, 2], [5, 1], [6, 1], [8, 1]], 1193/358318080], [[[1, 8], [2, 3], [3, 2], [5, 1], [6, 1], [10, 1]], 2569/1492992000], [[[1, 8], [2, 3], [3, 2], [5, 1], [6, 1], [12, 1]], 129439/42998169600], [[[1, 8], [2, 3], [3, 2], [6, 1], [8, 1], [10, 1]], 169/895795200], [[[1, 8], [2, 3], [3, 2], [6, 1], [8, 1], [12, 1]], 1110521/963158999040], [[[1, 8], [2, 3], [3, 2], [6, 1], [10, 1], [12, 1]], 10518581/24078974976000], [[[1, 8], [2, 3], [3, 3], [4, 1], [5, 1], [6, 1]], 159071/42998169600], [[[1, 8], [2, 3], [3, 3], [4, 1], [6, 1], [8, 1]], 101579/34398535680], [[[1, 8], [2, 3], [3, 3], [4, 1], [6, 1], [10, 1]], 2761/4777574400], [[[1, 8], [2, 3], [3, 3], [4, 1], [6, 1], [12, 1]], 495449/160526499840], [[[1, 8], [2, 3], [4, 1], [5, 1], [6, 1], [7, 1]], 227/77414400], [[[1, 8], [2, 3], [4, 1], [5, 1], [6, 1], [9, 1]], 59/59719680], [[[1, 8], [2, 3], [4, 1], [5, 1], [6, 1], [14, 1]], 1/2150400], [[[1, 8], [2, 3], [4, 1], [5, 1], [6, 1], [18, 1]], 25307/50164531200], [[[1, 8], [2, 3], [4, 1], [5, 1], [6, 2], [8, 1]], 133/265420800], [[[1, 8], [2, 3], [4, 1], [5, 1], [6, 2], [10, 1]], 7/27648000], [[[1, 8], [2, 3], [4, 1], [5, 1], [6, 2], [12, 1]], 93851/267544166400], [[[1, 8], [2, 3], [4, 1], [5, 1], [8, 1], [10, 1]], 12799/9289728000], [[[1, 8], [2, 3], [4, 1], [5, 1], [8, 1], [12, 1]], 1/884736], [[[1, 8], [2, 3], [4, 1], [5, 1], [10, 1], [12, 1]], 1/4608000], [[[1, 8], [2, 3], [4, 1], [6, 1], [7, 1], [8, 1]], 19/8847360], [[[1, 8], [2, 3], [4, 1], [6, 1], [7, 1], [10, 1]], 139/154828800], [[[1, 8], [2, 3], [4, 1], [6, 1], [7, 1], [12, 1]], 241/371589120], [[[1, 8], [2, 3], [4, 1], [6, 1], [8, 1], [9, 1]], 11/17694720], [[[1, 8], [2, 3], [4, 1], [6, 1], [8, 1], [14, 1]], 31/247726080], [[[1, 8], [2, 3], [4, 1], [6, 1], [8, 1], [18, 1]], 1426381/9631589990400], [[[1, 8], [2, 3], [4, 1], [6, 1], [9, 1], [10, 1]], 29/119439360], [[[1, 8], [2, 3], [4, 1], [6, 1], [9, 1], [12, 1]], 259/1433272320], [[[1, 8], [2, 3], [4, 1], [6, 1], [10, 1], [14, 1]], 1/51609600], [[[1, 8], [2, 3], [4, 1], [6, 1], [10, 1], [18, 1]], 1199/50164531200], [[[1, 8], [2, 3], [4, 1], [6, 1], [12, 1], [14, 1]], 1/41287680], [[[1, 8], [2, 3], [4, 1], [6, 1], [12, 1], [18, 1]], 79/3762339840], [[[1, 8], [2, 3], [4, 1], [6, 2], [8, 1], [10, 1]], 31/530841600], [[[1, 8], [2, 3], [4, 1], [6, 2], [8, 1], [12, 1]], 4238701/51368479948800], [[[1, 8], [2, 3], [4, 1], [6, 2], [10, 1], [12, 1]], 3467/267544166400], [[[1, 8], [2, 3], [4, 2], [5, 1], [6, 1], [8, 1]], 3689/2123366400], [[[1, 8], [2, 3], [4, 2], [5, 1], [6, 1], [10, 1]], 199/442368000], [[[1, 8], [2, 3], [4, 2], [5, 1], [6, 1], [12, 1]], 839/1194393600], [[[1, 8], [2, 3], [4, 2], [6, 1], [8, 1], [10, 1]], 719/2123366400], [[[1, 8], [2, 3], [4, 2], [6, 1], [8, 1], [12, 1]], 22081/64210599936], [[[1, 8], [2, 3], [4, 2], [6, 1], [10, 1], [12, 1]], 142343/3009871872000], [[[1, 8], [2, 3], [5, 1], [6, 1], [8, 1], [10, 1]], 1/2304000], [[[1, 8], [2, 3], [5, 1], [6, 1], [8, 1], [12, 1]], 13/33177600], [[[1, 8], [2, 3], [5, 1], [6, 1], [10, 1], [12, 1]], 1/9216000], [[[1, 8], [2, 5], [3, 1], [4, 1], [5, 1], [6, 2]], 45891589/10319560704000], [[[1, 8], [2, 5], [3, 1], [4, 1], [5, 1], [8, 1]], 1691371/267544166400], [[[1, 8], [2, 5], [3, 1], [4, 1], [5, 1], [10, 1]], 1464883/238878720000], [[[1, 8], [2, 5], [3, 1], [4, 1], [5, 1], [12, 1]], 125227/63700992000], [[[1, 8], [2, 5], [3, 1], [4, 1], [6, 1], [7, 1]], 20609/2675441664], [[[1, 8], [2, 5], [3, 1], [4, 1], [6, 1], [9, 1]], 160309/53508833280], [[[1, 8], [2, 5], [3, 1], [4, 1], [6, 1], [14, 1]], 49631/23410114560], [[[1, 8], [2, 5], [3, 1], [4, 1], [6, 1], [18, 1]], 11537689/7223692492800], [[[1, 8], [2, 5], [3, 1], [4, 1], [6, 2], [8, 1]], 21251497/4623163195392], [[[1, 8], [2, 5], [3, 1], [4, 1], [6, 2], [10, 1]], 168744763/72236924928000], [[[1, 8], [2, 5], [3, 1], [4, 1], [6, 2], [12, 1]], 730061081/346737239654400], [[[1, 8], [2, 5], [3, 1], [4, 1], [8, 1], [10, 1]], 189587/95551488000], [[[1, 8], [2, 5], [3, 1], [4, 1], [8, 1], [12, 1]], 2434751/1284211998720], [[[1, 8], [2, 5], [3, 1], [4, 1], [10, 1], [12, 1]], 17671/22932357120], [[[1, 8], [2, 5], [3, 1], [4, 2], [5, 1], [6, 1]], 1854677/222953472000], [[[1, 8], [2, 5], [3, 1], [4, 2], [6, 1], [8, 1]], 5123477/385263599616], [[[1, 8], [2, 5], [3, 1], [4, 2], [6, 1], [10, 1]], 2115713/687970713600], [[[1, 8], [2, 5], [3, 1], [4, 2], [6, 1], [12, 1]], 1113440383/173368619827200], [[[1, 8], [2, 5], [3, 1], [5, 1], [6, 1], [8, 1]], 33223/6370099200], [[[1, 8], [2, 5], [3, 1], [5, 1], [6, 1], [10, 1]], 488239/92897280000], [[[1, 8], [2, 5], [3, 1], [5, 1], [6, 1], [12, 1]], 554339/668860416000], [[[1, 8], [2, 5], [3, 1], [6, 1], [8, 1], [10, 1]], 858509/501645312000], [[[1, 8], [2, 5], [3, 1], [6, 1], [8, 1], [12, 1]], 474997/963158999040], [[[1, 8], [2, 5], [3, 1], [6, 1], [10, 1], [12, 1]], 1661273/6019743744000], [[[1, 8], [2, 5], [3, 2], [4, 1], [5, 1], [6, 1]], 467489/50164531200], [[[1, 8], [2, 5], [3, 2], [4, 1], [6, 1], [8, 1]], 1342544771/154105439846400], [[[1, 8], [2, 5], [3, 2], [4, 1], [6, 1], [10, 1]], 9808271/3009871872000], [[[1, 8], [2, 5], [3, 2], [4, 1], [6, 1], [12, 1]], 25501613/4623163195392], [[[1, 8], [2, 5], [4, 1], [5, 1], [6, 1], [8, 1]], 34259/10616832000], [[[1, 8], [2, 5], [4, 1], [5, 1], [6, 1], [10, 1]], 361499/139345920000], [[[1, 8], [2, 5], [4, 1], [5, 1], [6, 1], [12, 1]], 39449/33443020800], [[[1, 8], [2, 5], [4, 1], [6, 1], [8, 1], [10, 1]], 13254751/10701766656000], [[[1, 8], [2, 5], [4, 1], [6, 1], [8, 1], [12, 1]], 17860291/25684239974400], [[[1, 8], [2, 5], [4, 1], [6, 1], [10, 1], [12, 1]], 8791/33443020800], [[[1, 8], [2, 7], [3, 1], [4, 1], [5, 1], [6, 1]], 6067577/1547934105600], [[[1, 8], [2, 7], [3, 1], [4, 1], [6, 1], [8, 1]], 866087717/173368619827200], [[[1, 8], [2, 7], [3, 1], [4, 1], [6, 1], [10, 1]], 1406839/483729408000], [[[1, 8], [2, 7], [3, 1], [4, 1], [6, 1], [12, 1]], 18506861/16253308108800], [[[1, 9], [2, 2], [3, 1], [4, 1], [5, 1], [6, 3]], 2297/128994508800], [[[1, 9], [2, 2], [3, 1], [4, 1], [5, 1], [7, 1]], 2209/1393459200], [[[1, 9], [2, 2], [3, 1], [4, 1], [5, 1], [9, 1]], 1437473/3009871872000], [[[1, 9], [2, 2], [3, 1], [4, 1], [5, 1], [14, 1]], 137/1393459200], [[[1, 9], [2, 2], [3, 1], [4, 1], [5, 1], [18, 1]], 137/1791590400], [[[1, 9], [2, 2], [3, 1], [4, 1], [5, 2], [6, 1]], 20501273/60197437440000], [[[1, 9], [2, 2], [3, 1], [4, 1], [6, 1], [8, 2]], 1632521/19263179980800], [[[1, 9], [2, 2], [3, 1], [4, 1], [6, 1], [10, 2]], 75161/60197437440000], [[[1, 9], [2, 2], [3, 1], [4, 1], [6, 1], [12, 2]], 215597/28894769971200], [[[1, 9], [2, 2], [3, 1], [4, 1], [6, 1], [15, 1]], 34841/3009871872000], [[[1, 9], [2, 2], [3, 1], [4, 1], [6, 1], [16, 1]], 121/133772083200], [[[1, 9], [2, 2], [3, 1], [4, 1], [6, 1], [20, 1]], 34841/2006581248000], [[[1, 9], [2, 2], [3, 1], [4, 1], [6, 1], [24, 1]], 37019/2407897497600], [[[1, 9], [2, 2], [3, 1], [4, 1], [6, 1], [30, 1]], 34841/3009871872000], [[[1, 9], [2, 2], [3, 1], [4, 1], [6, 2], [7, 1]], 37/148635648], [[[1, 9], [2, 2], [3, 1], [4, 1], [6, 2], [9, 1]], 187/2866544640], [[[1, 9], [2, 2], [3, 1], [4, 1], [6, 2], [14, 1]], 1/743178240], [[[1, 9], [2, 2], [3, 1], [4, 1], [6, 2], [18, 1]], 40511/5417769369600], [[[1, 9], [2, 2], [3, 1], [4, 1], [6, 3], [8, 1]], 2653/619173642240], [[[1, 9], [2, 2], [3, 1], [4, 1], [6, 3], [10, 1]], 83/128994508800], [[[1, 9], [2, 2], [3, 1], [4, 1], [6, 3], [12, 1]], 182363/86684309913600], [[[1, 9], [2, 2], [3, 1], [4, 1], [7, 1], [8, 1]], 659/1114767360], [[[1, 9], [2, 2], [3, 1], [4, 1], [7, 1], [10, 1]], 19/348364800], [[[1, 9], [2, 2], [3, 1], [4, 1], [7, 1], [12, 1]], 979/3344302080], [[[1, 9], [2, 2], [3, 1], [4, 1], [8, 1], [9, 1]], 1601671/9631589990400], [[[1, 9], [2, 2], [3, 1], [4, 1], [8, 1], [14, 1]], 1/46448640], [[[1, 9], [2, 2], [3, 1], [4, 1], [8, 1], [18, 1]], 71/4299816960], [[[1, 9], [2, 2], [3, 1], [4, 1], [9, 1], [10, 1]], 44921/3009871872000], [[[1, 9], [2, 2], [3, 1], [4, 1], [9, 1], [12, 1]], 146981/1805923123200], [[[1, 9], [2, 2], [3, 1], [4, 1], [10, 1], [14, 1]], 1/696729600], [[[1, 9], [2, 2], [3, 1], [4, 1], [10, 1], [18, 1]], 1/895795200], [[[1, 9], [2, 2], [3, 1], [4, 1], [12, 1], [14, 1]], 1/95551488], [[[1, 9], [2, 2], [3, 1], [4, 1], [12, 1], [18, 1]], 7/859963392], [[[1, 9], [2, 2], [3, 1], [4, 2], [5, 1], [6, 2]], 361/9555148800], [[[1, 9], [2, 2], [3, 1], [4, 2], [5, 1], [8, 1]], 773/1274019840], [[[1, 9], [2, 2], [3, 1], [4, 2], [5, 1], [10, 1]], 149/1592524800], [[[1, 9], [2, 2], [3, 1], [4, 2], [5, 1], [12, 1]], 1172573/6019743744000], [[[1, 9], [2, 2], [3, 1], [4, 2], [6, 1], [7, 1]], 3043/10032906240], [[[1, 9], [2, 2], [3, 1], [4, 2], [6, 1], [9, 1]], 3607871/43342154956800], [[[1, 9], [2, 2], [3, 1], [4, 2], [6, 1], [14, 1]], 1/148635648], [[[1, 9], [2, 2], [3, 1], [4, 2], [6, 1], [18, 1]], 7177/722369249280], [[[1, 9], [2, 2], [3, 1], [4, 2], [6, 2], [8, 1]], 1921/30576476160], [[[1, 9], [2, 2], [3, 1], [4, 2], [6, 2], [10, 1]], 19/4246732800], [[[1, 9], [2, 2], [3, 1], [4, 2], [6, 2], [12, 1]], 715997/57789539942400], [[[1, 9], [2, 2], [3, 1], [4, 2], [8, 1], [10, 1]], 47/3185049600], [[[1, 9], [2, 2], [3, 1], [4, 2], [8, 1], [12, 1]], 256033/2407897497600], [[[1, 9], [2, 2], [3, 1], [4, 2], [10, 1], [12, 1]], 571/57330892800], [[[1, 9], [2, 2], [3, 1], [4, 3], [5, 1], [6, 1]], 7/132710400], [[[1, 9], [2, 2], [3, 1], [4, 3], [6, 1], [8, 1]], 288047/3210529996800], [[[1, 9], [2, 2], [3, 1], [4, 3], [6, 1], [10, 1]], 461/57330892800], [[[1, 9], [2, 2], [3, 1], [4, 3], [6, 1], [12, 1]], 351553/14447384985600], [[[1, 9], [2, 2], [3, 1], [5, 1], [6, 1], [7, 1]], 197/116121600], [[[1, 9], [2, 2], [3, 1], [5, 1], [6, 1], [9, 1]], 443/895795200], [[[1, 9], [2, 2], [3, 1], [5, 1], [6, 1], [14, 1]], 1/9676800], [[[1, 9], [2, 2], [3, 1], [5, 1], [6, 1], [18, 1]], 444293/4514807808000], [[[1, 9], [2, 2], [3, 1], [5, 1], [6, 2], [8, 1]], 17/199065600], [[[1, 9], [2, 2], [3, 1], [5, 1], [6, 2], [10, 1]], 1/18432000], [[[1, 9], [2, 2], [3, 1], [5, 1], [6, 2], [12, 1]], 1774853/24078974976000], [[[1, 9], [2, 2], [3, 1], [5, 1], [8, 1], [12, 1]], 1/6635520], [[[1, 9], [2, 2], [3, 1], [5, 1], [10, 1], [12, 1]], 1/27648000], [[[1, 9], [2, 2], [3, 1], [6, 1], [7, 1], [8, 1]], 11/29859840], [[[1, 9], [2, 2], [3, 1], [6, 1], [7, 1], [10, 1]], 13/348364800], [[[1, 9], [2, 2], [3, 1], [6, 1], [7, 1], [12, 1]], 1/15676416], [[[1, 9], [2, 2], [3, 1], [6, 1], [8, 1], [9, 1]], 347321/3611846246400], [[[1, 9], [2, 2], [3, 1], [6, 1], [8, 1], [14, 1]], 1/836075520], [[[1, 9], [2, 2], [3, 1], [6, 1], [8, 1], [18, 1]], 15521/3611846246400], [[[1, 9], [2, 2], [3, 1], [6, 1], [9, 1], [10, 1]], 23021/2257403904000], [[[1, 9], [2, 2], [3, 1], [6, 1], [9, 1], [12, 1]], 6653/386983526400], [[[1, 9], [2, 2], [3, 1], [6, 1], [10, 1], [14, 1]], 1/1045094400], [[[1, 9], [2, 2], [3, 1], [6, 1], [10, 1], [18, 1]], 1/895795200], [[[1, 9], [2, 2], [3, 1], [6, 1], [12, 1], [14, 1]], 1/836075520], [[[1, 9], [2, 2], [3, 1], [6, 1], [12, 1], [18, 1]], 683/515978035200], [[[1, 9], [2, 2], [3, 1], [6, 2], [8, 1], [10, 1]], 1/1791590400], [[[1, 9], [2, 2], [3, 1], [6, 2], [8, 1], [12, 1]], 25601/19263179980800], [[[1, 9], [2, 2], [3, 1], [6, 2], [10, 1], [12, 1]], 1/1592524800], [[[1, 9], [2, 2], [3, 2], [4, 1], [5, 1], [6, 2]], 19398353/96315899904000], [[[1, 9], [2, 2], [3, 2], [4, 1], [5, 1], [8, 1]], 403/597196800], [[[1, 9], [2, 2], [3, 2], [4, 1], [5, 1], [10, 1]], 7/74649600], [[[1, 9], [2, 2], [3, 2], [4, 1], [5, 1], [12, 1]], 8117713/16052649984000], [[[1, 9], [2, 2], [3, 2], [4, 1], [6, 1], [7, 1]], 17009/20065812480], [[[1, 9], [2, 2], [3, 2], [4, 1], [6, 1], [9, 1]], 420437/1805923123200], [[[1, 9], [2, 2], [3, 2], [4, 1], [6, 1], [14, 1]], 1/78382080], [[[1, 9], [2, 2], [3, 2], [4, 1], [6, 1], [18, 1]], 287/12899450880], [[[1, 9], [2, 2], [3, 2], [4, 1], [6, 2], [8, 1]], 13094317/102736959897600], [[[1, 9], [2, 2], [3, 2], [4, 1], [6, 2], [10, 1]], 752761/96315899904000], [[[1, 9], [2, 2], [3, 2], [4, 1], [6, 2], [12, 1]], 3579113/57789539942400], [[[1, 9], [2, 2], [3, 2], [4, 1], [8, 1], [10, 1]], 77/2388787200], [[[1, 9], [2, 2], [3, 2], [4, 1], [8, 1], [12, 1]], 7492871/51368479948800], [[[1, 9], [2, 2], [3, 2], [4, 1], [10, 1], [12, 1]], 179321/16052649984000], [[[1, 9], [2, 2], [3, 2], [4, 2], [5, 1], [6, 1]], 44387/171992678400], [[[1, 9], [2, 2], [3, 2], [4, 2], [6, 1], [8, 1]], 26977/110075314176], [[[1, 9], [2, 2], [3, 2], [4, 2], [6, 1], [10, 1]], 61/4299816960], [[[1, 9], [2, 2], [3, 2], [4, 2], [6, 1], [12, 1]], 15554233/138694895861760], [[[1, 9], [2, 2], [3, 2], [5, 1], [6, 1], [8, 1]], 2099/7166361600], [[[1, 9], [2, 2], [3, 2], [5, 1], [6, 1], [10, 1]], 59/746496000], [[[1, 9], [2, 2], [3, 2], [5, 1], [6, 1], [12, 1]], 19337/42998169600], [[[1, 9], [2, 2], [3, 2], [6, 1], [8, 1], [10, 1]], 1/111974400], [[[1, 9], [2, 2], [3, 2], [6, 1], [8, 1], [12, 1]], 1603961/19263179980800], [[[1, 9], [2, 2], [3, 2], [6, 1], [10, 1], [12, 1]], 91901/12039487488000], [[[1, 9], [2, 2], [3, 3], [4, 1], [5, 1], [6, 1]], 20491/42998169600], [[[1, 9], [2, 2], [3, 3], [4, 1], [6, 1], [8, 1]], 3545/13759414272], [[[1, 9], [2, 2], [3, 3], [4, 1], [6, 1], [10, 1]], 241/4777574400], [[[1, 9], [2, 2], [3, 3], [4, 1], [6, 1], [12, 1]], 2389187/9631589990400], [[[1, 9], [2, 2], [4, 1], [5, 1], [6, 1], [7, 1]], 1/2150400], [[[1, 9], [2, 2], [4, 1], [5, 1], [6, 1], [9, 1]], 1/7464960], [[[1, 9], [2, 2], [4, 1], [5, 1], [6, 1], [14, 1]], 1/38707200], [[[1, 9], [2, 2], [4, 1], [5, 1], [6, 1], [18, 1]], 107473/3009871872000], [[[1, 9], [2, 2], [4, 1], [5, 1], [6, 2], [8, 1]], 7/265420800], [[[1, 9], [2, 2], [4, 1], [5, 1], [6, 2], [10, 1]], 1/82944000], [[[1, 9], [2, 2], [4, 1], [5, 1], [6, 2], [12, 1]], 288913/16052649984000], [[[1, 9], [2, 2], [4, 1], [5, 1], [8, 1], [10, 1]], 7681/111476736000], [[[1, 9], [2, 2], [4, 1], [5, 1], [8, 1], [12, 1]], 1/22118400], [[[1, 9], [2, 2], [4, 1], [6, 1], [7, 1], [8, 1]], 31/247726080], [[[1, 9], [2, 2], [4, 1], [6, 1], [7, 1], [10, 1]], 1/51609600], [[[1, 9], [2, 2], [4, 1], [6, 1], [7, 1], [12, 1]], 1/41287680], [[[1, 9], [2, 2], [4, 1], [6, 1], [8, 1], [9, 1]], 31/955514880], [[[1, 9], [2, 2], [4, 1], [6, 1], [8, 1], [18, 1]], 20231/9631589990400], [[[1, 9], [2, 2], [4, 1], [6, 1], [9, 1], [10, 1]], 1/199065600], [[[1, 9], [2, 2], [4, 1], [6, 1], [9, 1], [12, 1]], 1/159252480], [[[1, 9], [2, 2], [4, 1], [6, 1], [10, 1], [18, 1]], 121/3009871872000], [[[1, 9], [2, 2], [4, 1], [6, 1], [12, 1], [18, 1]], 121/1805923123200], [[[1, 9], [2, 2], [4, 1], [6, 2], [8, 1], [12, 1]], 20231/51368479948800], [[[1, 9], [2, 2], [4, 1], [6, 2], [10, 1], [12, 1]], 121/16052649984000], [[[1, 9], [2, 2], [4, 2], [5, 1], [6, 1], [8, 1]], 347/2123366400], [[[1, 9], [2, 2], [4, 2], [5, 1], [6, 1], [10, 1]], 1/36864000], [[[1, 9], [2, 2], [4, 2], [5, 1], [6, 1], [12, 1]], 401/9555148800], [[[1, 9], [2, 2], [4, 2], [6, 1], [8, 1], [10, 1]], 23/4246732800], [[[1, 9], [2, 2], [4, 2], [6, 1], [8, 1], [12, 1]], 65447/9631589990400], [[[1, 9], [2, 2], [4, 2], [6, 1], [10, 1], [12, 1]], 61/3009871872000], [[[1, 9], [2, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 1/55296000], [[[1, 9], [2, 2], [5, 1], [6, 1], [8, 1], [12, 1]], 1/44236800], [[[1, 9], [2, 4], [3, 1], [4, 1], [5, 1], [6, 2]], 669551/601974374400], [[[1, 9], [2, 4], [3, 1], [4, 1], [5, 1], [8, 1]], 6958981/3567255552000], [[[1, 9], [2, 4], [3, 1], [4, 1], [5, 1], [10, 1]], 2951/3096576000], [[[1, 9], [2, 4], [3, 1], [4, 1], [5, 1], [12, 1]], 1087/1592524800], [[[1, 9], [2, 4], [3, 1], [4, 1], [6, 1], [7, 1]], 49631/23410114560], [[[1, 9], [2, 4], [3, 1], [4, 1], [6, 1], [9, 1]], 10024001/14447384985600], [[[1, 9], [2, 4], [3, 1], [4, 1], [6, 1], [14, 1]], 792221/2809213747200], [[[1, 9], [2, 4], [3, 1], [4, 1], [6, 1], [18, 1]], 58039/247669456896], [[[1, 9], [2, 4], [3, 1], [4, 1], [6, 2], [8, 1]], 289416299/462316319539200], [[[1, 9], [2, 4], [3, 1], [4, 1], [6, 2], [10, 1]], 1429651/6019743744000], [[[1, 9], [2, 4], [3, 1], [4, 1], [6, 2], [12, 1]], 2573377/11007531417600], [[[1, 9], [2, 4], [3, 1], [4, 1], [8, 1], [10, 1]], 174757/668860416000], [[[1, 9], [2, 4], [3, 1], [4, 1], [8, 1], [12, 1]], 2993171/8561413324800], [[[1, 9], [2, 4], [3, 1], [4, 1], [10, 1], [12, 1]], 10823/100329062400], [[[1, 9], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1]], 85337603/48157949952000], [[[1, 9], [2, 4], [3, 1], [4, 2], [6, 1], [8, 1]], 4426771/2751882854400], [[[1, 9], [2, 4], [3, 1], [4, 2], [6, 1], [10, 1]], 15227/40131624960], [[[1, 9], [2, 4], [3, 1], [4, 2], [6, 1], [12, 1]], 81176441/115579079884800], [[[1, 9], [2, 4], [3, 1], [5, 1], [6, 1], [8, 1]], 16049/11147673600], [[[1, 9], [2, 4], [3, 1], [5, 1], [6, 1], [10, 1]], 3657653/5016453120000], [[[1, 9], [2, 4], [3, 1], [5, 1], [6, 1], [12, 1]], 2873933/12039487488000], [[[1, 9], [2, 4], [3, 1], [6, 1], [8, 1], [10, 1]], 681061/4013162496000], [[[1, 9], [2, 4], [3, 1], [6, 1], [8, 1], [12, 1]], 798701/9631589990400], [[[1, 9], [2, 4], [3, 1], [6, 1], [10, 1], [12, 1]], 108221/4013162496000], [[[1, 9], [2, 4], [3, 2], [4, 1], [5, 1], [6, 1]], 144936973/48157949952000], [[[1, 9], [2, 4], [3, 2], [4, 1], [6, 1], [8, 1]], 47645389/25684239974400], [[[1, 9], [2, 4], [3, 2], [4, 1], [6, 1], [10, 1]], 26272181/48157949952000], [[[1, 9], [2, 4], [3, 2], [4, 1], [6, 1], [12, 1]], 251188331/231158159769600], [[[1, 9], [2, 4], [4, 1], [5, 1], [6, 1], [8, 1]], 32867/44590694400], [[[1, 9], [2, 4], [4, 1], [5, 1], [6, 1], [10, 1]], 1167253/3344302080000], [[[1, 9], [2, 4], [4, 1], [5, 1], [6, 1], [12, 1]], 1920973/8026324992000], [[[1, 9], [2, 4], [4, 1], [6, 1], [8, 1], [10, 1]], 28997/297271296000], [[[1, 9], [2, 4], [4, 1], [6, 1], [8, 1], [12, 1]], 875527/12842119987200], [[[1, 9], [2, 4], [4, 1], [6, 1], [10, 1], [12, 1]], 19189/1605264998400], [[[1, 9], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1]], 14285119/6019743744000], [[[1, 9], [2, 6], [3, 1], [4, 1], [6, 1], [8, 1]], 1293728293/693474479308800], [[[1, 9], [2, 6], [3, 1], [4, 1], [6, 1], [10, 1]], 70406159/80263249920000], [[[1, 9], [2, 6], [3, 1], [4, 1], [6, 1], [12, 1]], 48309403/115579079884800], [[[1, 9], [3, 1], [4, 1], [5, 1], [6, 2], [8, 1]], 1/265420800], [[[1, 9], [3, 1], [4, 1], [5, 1], [8, 1], [12, 1]], 1/44236800], [[[1, 9], [3, 1], [4, 1], [6, 1], [8, 1], [18, 1]], 1/4299816960], [[[1, 9], [3, 1], [4, 1], [6, 2], [8, 1], [12, 1]], 1/22932357120], [[[1, 10], [2, 1], [3, 1], [4, 1], [5, 1], [6, 3]], 1/1194393600], [[[1, 10], [2, 1], [3, 1], [4, 1], [5, 1], [7, 1]], 137/1393459200], [[[1, 10], [2, 1], [3, 1], [4, 1], [5, 1], [9, 1]], 78233/3009871872000], [[[1, 10], [2, 1], [3, 1], [4, 1], [5, 2], [6, 1]], 871193/60197437440000], [[[1, 10], [2, 1], [3, 1], [4, 1], [6, 1], [8, 2]], 5321/19263179980800], [[[1, 10], [2, 1], [3, 1], [4, 1], [6, 1], [10, 2]], 281/60197437440000], [[[1, 10], [2, 1], [3, 1], [4, 1], [6, 1], [12, 2]], 317/28894769971200], [[[1, 10], [2, 1], [3, 1], [4, 1], [6, 1], [15, 1]], 281/3009871872000], [[[1, 10], [2, 1], [3, 1], [4, 1], [6, 1], [16, 1]], 1/133772083200], [[[1, 10], [2, 1], [3, 1], [4, 1], [6, 1], [20, 1]], 281/2006581248000], [[[1, 10], [2, 1], [3, 1], [4, 1], [6, 1], [24, 1]], 299/2407897497600], [[[1, 10], [2, 1], [3, 1], [4, 1], [6, 1], [30, 1]], 281/3009871872000], [[[1, 10], [2, 1], [3, 1], [4, 1], [6, 2], [7, 1]], 1/743178240], [[[1, 10], [2, 1], [3, 1], [4, 1], [6, 2], [9, 1]], 1/2866544640], [[[1, 10], [2, 1], [3, 1], [4, 1], [6, 2], [18, 1]], 281/5417769369600], [[[1, 10], [2, 1], [3, 1], [4, 1], [6, 3], [8, 1]], 1/206391214080], [[[1, 10], [2, 1], [3, 1], [4, 1], [6, 3], [12, 1]], 281/28894769971200], [[[1, 10], [2, 1], [3, 1], [4, 1], [7, 1], [8, 1]], 1/46448640], [[[1, 10], [2, 1], [3, 1], [4, 1], [7, 1], [10, 1]], 1/696729600], [[[1, 10], [2, 1], [3, 1], [4, 1], [7, 1], [12, 1]], 1/95551488], [[[1, 10], [2, 1], [3, 1], [4, 1], [8, 1], [9, 1]], 56131/9631589990400], [[[1, 10], [2, 1], [3, 1], [4, 1], [8, 1], [14, 1]], 1/2229534720], [[[1, 10], [2, 1], [3, 1], [4, 1], [8, 1], [18, 1]], 1/2866544640], [[[1, 10], [2, 1], [3, 1], [4, 1], [9, 1], [10, 1]], 1121/3009871872000], [[[1, 10], [2, 1], [3, 1], [4, 1], [9, 1], [12, 1]], 4901/1805923123200], [[[1, 10], [2, 1], [3, 1], [4, 2], [5, 1], [6, 2]], 13/19110297600], [[[1, 10], [2, 1], [3, 1], [4, 2], [5, 1], [8, 1]], 319/12740198400], [[[1, 10], [2, 1], [3, 1], [4, 2], [5, 1], [12, 1]], 7489/1504935936000], [[[1, 10], [2, 1], [3, 1], [4, 2], [6, 1], [7, 1]], 1/148635648], [[[1, 10], [2, 1], [3, 1], [4, 2], [6, 1], [9, 1]], 1/573308928], [[[1, 10], [2, 1], [3, 1], [4, 2], [6, 1], [18, 1]], 3551/43342154956800], [[[1, 10], [2, 1], [3, 1], [4, 2], [6, 2], [8, 1]], 23/61152952320], [[[1, 10], [2, 1], [3, 1], [4, 2], [6, 2], [12, 1]], 2329/138694895861760], [[[1, 10], [2, 1], [3, 1], [4, 2], [8, 1], [10, 1]], 1/3185049600], [[[1, 10], [2, 1], [3, 1], [4, 2], [8, 1], [12, 1]], 27337/9631589990400], [[[1, 10], [2, 1], [3, 1], [4, 3], [5, 1], [6, 1]], 1/424673280], [[[1, 10], [2, 1], [3, 1], [4, 3], [6, 1], [8, 1]], 4727/3210529996800], [[[1, 10], [2, 1], [3, 1], [4, 3], [6, 1], [12, 1]], 5323/14447384985600], [[[1, 10], [2, 1], [3, 1], [5, 1], [6, 1], [7, 1]], 1/9676800], [[[1, 10], [2, 1], [3, 1], [5, 1], [6, 1], [9, 1]], 1/37324800], [[[1, 10], [2, 1], [3, 1], [5, 1], [6, 1], [18, 1]], 2693/2257403904000], [[[1, 10], [2, 1], [3, 1], [5, 1], [6, 2], [8, 1]], 1/796262400], [[[1, 10], [2, 1], [3, 1], [5, 1], [6, 2], [12, 1]], 2693/12039487488000], [[[1, 10], [2, 1], [3, 1], [5, 1], [8, 1], [12, 1]], 1/132710400], [[[1, 10], [2, 1], [3, 1], [6, 1], [7, 1], [8, 1]], 1/836075520], [[[1, 10], [2, 1], [3, 1], [6, 1], [7, 1], [10, 1]], 1/1045094400], [[[1, 10], [2, 1], [3, 1], [6, 1], [7, 1], [12, 1]], 1/836075520], [[[1, 10], [2, 1], [3, 1], [6, 1], [8, 1], [9, 1]], 1121/3611846246400], [[[1, 10], [2, 1], [3, 1], [6, 1], [8, 1], [18, 1]], 281/3611846246400], [[[1, 10], [2, 1], [3, 1], [6, 1], [9, 1], [10, 1]], 1121/4514807808000], [[[1, 10], [2, 1], [3, 1], [6, 1], [9, 1], [12, 1]], 1121/3611846246400], [[[1, 10], [2, 1], [3, 1], [6, 1], [12, 1], [18, 1]], 31/2708884684800], [[[1, 10], [2, 1], [3, 1], [6, 2], [8, 1], [12, 1]], 281/19263179980800], [[[1, 10], [2, 1], [3, 2], [4, 1], [5, 1], [6, 2]], 308393/96315899904000], [[[1, 10], [2, 1], [3, 2], [4, 1], [5, 1], [8, 1]], 7/159252480], [[[1, 10], [2, 1], [3, 2], [4, 1], [5, 1], [10, 1]], 7/1492992000], [[[1, 10], [2, 1], [3, 2], [4, 1], [5, 1], [12, 1]], 144611/5350883328000], [[[1, 10], [2, 1], [3, 2], [4, 1], [6, 1], [7, 1]], 1/78382080], [[[1, 10], [2, 1], [3, 2], [4, 1], [6, 1], [9, 1]], 6067/1805923123200], [[[1, 10], [2, 1], [3, 2], [4, 1], [6, 1], [18, 1]], 1/2579890176], [[[1, 10], [2, 1], [3, 2], [4, 1], [6, 2], [8, 1]], 224131/308210879692800], [[[1, 10], [2, 1], [3, 2], [4, 1], [6, 2], [10, 1]], 4481/96315899904000], [[[1, 10], [2, 1], [3, 2], [4, 1], [6, 2], [12, 1]], 23873/57789539942400], [[[1, 10], [2, 1], [3, 2], [4, 1], [8, 1], [12, 1]], 224131/51368479948800], [[[1, 10], [2, 1], [3, 2], [4, 1], [10, 1], [12, 1]], 4481/16052649984000], [[[1, 10], [2, 1], [3, 2], [4, 2], [5, 1], [6, 1]], 7/849346560], [[[1, 10], [2, 1], [3, 2], [4, 2], [6, 1], [8, 1]], 211/68797071360], [[[1, 10], [2, 1], [3, 2], [4, 2], [6, 1], [10, 1]], 19/85996339200], [[[1, 10], [2, 1], [3, 2], [4, 2], [6, 1], [12, 1]], 50261/28894769971200], [[[1, 10], [2, 1], [3, 2], [5, 1], [6, 1], [8, 1]], 7/1791590400], [[[1, 10], [2, 1], [3, 2], [5, 1], [6, 1], [10, 1]], 7/2239488000], [[[1, 10], [2, 1], [3, 2], [5, 1], [6, 1], [12, 1]], 43/1791590400], [[[1, 10], [2, 1], [3, 2], [6, 1], [8, 1], [12, 1]], 4481/19263179980800], [[[1, 10], [2, 1], [3, 2], [6, 1], [10, 1], [12, 1]], 4481/24078974976000], [[[1, 10], [2, 1], [3, 3], [4, 1], [5, 1], [6, 1]], 89/10749542400], [[[1, 10], [2, 1], [3, 3], [4, 1], [6, 1], [8, 1]], 241/22932357120], [[[1, 10], [2, 1], [3, 3], [4, 1], [6, 1], [12, 1]], 23987/9631589990400], [[[1, 10], [2, 1], [4, 1], [5, 1], [6, 1], [7, 1]], 1/38707200], [[[1, 10], [2, 1], [4, 1], [5, 1], [6, 1], [9, 1]], 1/149299200], [[[1, 10], [2, 1], [4, 1], [5, 1], [6, 1], [18, 1]], 1513/3009871872000], [[[1, 10], [2, 1], [4, 1], [5, 1], [6, 2], [12, 1]], 1513/16052649984000], [[[1, 10], [2, 1], [4, 1], [5, 1], [8, 1], [10, 1]], 1/111476736000], [[[1, 10], [2, 1], [4, 1], [6, 1], [8, 1], [18, 1]], 131/9631589990400], [[[1, 10], [2, 1], [4, 1], [6, 1], [10, 1], [18, 1]], 1/3009871872000], [[[1, 10], [2, 1], [4, 1], [6, 1], [12, 1], [18, 1]], 1/1805923123200], [[[1, 10], [2, 1], [4, 1], [6, 2], [8, 1], [12, 1]], 131/51368479948800], [[[1, 10], [2, 1], [4, 1], [6, 2], [10, 1], [12, 1]], 1/16052649984000], [[[1, 10], [2, 1], [4, 2], [5, 1], [6, 1], [8, 1]], 13/2123366400], [[[1, 10], [2, 1], [4, 2], [5, 1], [6, 1], [10, 1]], 1/2654208000], [[[1, 10], [2, 1], [4, 2], [5, 1], [6, 1], [12, 1]], 1/2123366400], [[[1, 10], [2, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 1/4815794995200], [[[1, 10], [2, 1], [4, 2], [6, 1], [10, 1], [12, 1]], 1/6019743744000], [[[1, 10], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2]], 299659/2293235712000], [[[1, 10], [2, 3], [3, 1], [4, 1], [5, 1], [8, 1]], 56593/191102976000], [[[1, 10], [2, 3], [3, 1], [4, 1], [5, 1], [10, 1]], 218893/3344302080000], [[[1, 10], [2, 3], [3, 1], [4, 1], [5, 1], [12, 1]], 936731/8026324992000], [[[1, 10], [2, 3], [3, 1], [4, 1], [6, 1], [7, 1]], 792221/2809213747200], [[[1, 10], [2, 3], [3, 1], [4, 1], [6, 1], [9, 1]], 1152007/14447384985600], [[[1, 10], [2, 3], [3, 1], [4, 1], [6, 1], [14, 1]], 17561/1404606873600], [[[1, 10], [2, 3], [3, 1], [4, 1], [6, 1], [18, 1]], 524827/43342154956800], [[[1, 10], [2, 3], [3, 1], [4, 1], [6, 2], [8, 1]], 834811/25684239974400], [[[1, 10], [2, 3], [3, 1], [4, 1], [6, 2], [10, 1]], 314639/48157949952000], [[[1, 10], [2, 3], [3, 1], [4, 1], [6, 2], [12, 1]], 2253379/231158159769600], [[[1, 10], [2, 3], [3, 1], [4, 1], [8, 1], [10, 1]], 10727/891813888000], [[[1, 10], [2, 3], [3, 1], [4, 1], [8, 1], [12, 1]], 15601/513684799488], [[[1, 10], [2, 3], [3, 1], [4, 1], [10, 1], [12, 1]], 1603/382205952000], [[[1, 10], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1]], 4507961/24078974976000], [[[1, 10], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1]], 1133627/9631589990400], [[[1, 10], [2, 3], [3, 1], [4, 2], [6, 1], [10, 1]], 738863/48157949952000], [[[1, 10], [2, 3], [3, 1], [4, 2], [6, 1], [12, 1]], 2357561/69347447930880], [[[1, 10], [2, 3], [3, 1], [5, 1], [6, 1], [8, 1]], 734093/4013162496000], [[[1, 10], [2, 3], [3, 1], [5, 1], [6, 1], [10, 1]], 90623/1672151040000], [[[1, 10], [2, 3], [3, 1], [5, 1], [6, 1], [12, 1]], 76133/2407897497600], [[[1, 10], [2, 3], [3, 1], [6, 1], [8, 1], [10, 1]], 7061/2006581248000], [[[1, 10], [2, 3], [3, 1], [6, 1], [8, 1], [12, 1]], 7661/1375941427200], [[[1, 10], [2, 3], [3, 1], [6, 1], [10, 1], [12, 1]], 9427/12039487488000], [[[1, 10], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1]], 5694289/12039487488000], [[[1, 10], [2, 3], [3, 2], [4, 1], [6, 1], [8, 1]], 3345967/19263179980800], [[[1, 10], [2, 3], [3, 2], [4, 1], [6, 1], [10, 1]], 48253/1719926784000], [[[1, 10], [2, 3], [3, 2], [4, 1], [6, 1], [12, 1]], 23008169/231158159769600], [[[1, 10], [2, 3], [4, 1], [5, 1], [6, 1], [8, 1]], 204493/2675441664000], [[[1, 10], [2, 3], [4, 1], [5, 1], [6, 1], [10, 1]], 41893/1672151040000], [[[1, 10], [2, 3], [4, 1], [5, 1], [6, 1], [12, 1]], 5809/286654464000], [[[1, 10], [2, 3], [4, 1], [6, 1], [8, 1], [10, 1]], 1489/764411904000], [[[1, 10], [2, 3], [4, 1], [6, 1], [8, 1], [12, 1]], 523/214035333120], [[[1, 10], [2, 3], [4, 1], [6, 1], [10, 1], [12, 1]], 71/668860416000], [[[1, 10], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1]], 11455141/16052649984000], [[[1, 10], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1]], 3826331/11007531417600], [[[1, 10], [2, 5], [3, 1], [4, 1], [6, 1], [10, 1]], 7842193/60197437440000], [[[1, 10], [2, 5], [3, 1], [4, 1], [6, 1], [12, 1]], 1216211/16511297126400], [[[1, 11], [2, 2], [3, 1], [4, 1], [5, 1], [6, 2]], 73363/12039487488000], [[[1, 11], [2, 2], [3, 1], [4, 1], [5, 1], [8, 1]], 109079/5350883328000], [[[1, 11], [2, 2], [3, 1], [4, 1], [5, 1], [10, 1]], 2693/1672151040000], [[[1, 11], [2, 2], [3, 1], [4, 1], [5, 1], [12, 1]], 18269/2006581248000], [[[1, 11], [2, 2], [3, 1], [4, 1], [6, 1], [7, 1]], 17561/1404606873600], [[[1, 11], [2, 2], [3, 1], [4, 1], [6, 1], [9, 1]], 6803/2063912140800], [[[1, 11], [2, 2], [3, 1], [4, 1], [6, 1], [14, 1]], 281/2809213747200], [[[1, 11], [2, 2], [3, 1], [4, 1], [6, 1], [18, 1]], 2843/14447384985600], [[[1, 11], [2, 2], [3, 1], [4, 1], [6, 2], [8, 1]], 757/3210529996800], [[[1, 11], [2, 2], [3, 1], [4, 1], [6, 2], [10, 1]], 593/12039487488000], [[[1, 11], [2, 2], [3, 1], [4, 1], [6, 2], [12, 1]], 19637/231158159769600], [[[1, 11], [2, 2], [3, 1], [4, 1], [8, 1], [10, 1]], 701/2675441664000], [[[1, 11], [2, 2], [3, 1], [4, 1], [8, 1], [12, 1]], 157/160526499840], [[[1, 11], [2, 2], [3, 1], [4, 1], [10, 1], [12, 1]], 31/2006581248000], [[[1, 11], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1]], 460739/48157949952000], [[[1, 11], [2, 2], [3, 1], [4, 2], [6, 1], [8, 1]], 4841/1375941427200], [[[1, 11], [2, 2], [3, 1], [4, 2], [6, 1], [10, 1]], 3497/24078974976000], [[[1, 11], [2, 2], [3, 1], [4, 2], [6, 1], [12, 1]], 45149/69347447930880], [[[1, 11], [2, 2], [3, 1], [5, 1], [6, 1], [8, 1]], 17813/2006581248000], [[[1, 11], [2, 2], [3, 1], [5, 1], [6, 1], [10, 1]], 1843/1672151040000], [[[1, 11], [2, 2], [3, 1], [5, 1], [6, 1], [12, 1]], 21311/12039487488000], [[[1, 11], [2, 2], [3, 1], [6, 1], [8, 1], [10, 1]], 281/4013162496000], [[[1, 11], [2, 2], [3, 1], [6, 1], [8, 1], [12, 1]], 967/9631589990400], [[[1, 11], [2, 2], [3, 1], [6, 1], [10, 1], [12, 1]], 1/96315899904], [[[1, 11], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1]], 16987/594542592000], [[[1, 11], [2, 2], [3, 2], [4, 1], [6, 1], [8, 1]], 469493/77052719923200], [[[1, 11], [2, 2], [3, 2], [4, 1], [6, 1], [10, 1]], 10081/16052649984000], [[[1, 11], [2, 2], [3, 2], [4, 1], [6, 1], [12, 1]], 7423/2201506283520], [[[1, 11], [2, 2], [4, 1], [5, 1], [6, 1], [8, 1]], 7813/2675441664000], [[[1, 11], [2, 2], [4, 1], [5, 1], [6, 1], [10, 1]], 1513/3344302080000], [[[1, 11], [2, 2], [4, 1], [5, 1], [6, 1], [12, 1]], 1513/2675441664000], [[[1, 11], [2, 2], [4, 1], [6, 1], [8, 1], [10, 1]], 17/1337720832000], [[[1, 11], [2, 2], [4, 1], [6, 1], [8, 1], [12, 1]], 41/2568423997440], [[[1, 11], [2, 2], [4, 1], [6, 1], [10, 1], [12, 1]], 1/1146617856000], [[[1, 11], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1]], 694553/6019743744000], [[[1, 11], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1]], 16403/475634073600], [[[1, 11], [2, 4], [3, 1], [4, 1], [6, 1], [10, 1]], 45121/6019743744000], [[[1, 11], [2, 4], [3, 1], [4, 1], [6, 1], [12, 1]], 183067/28894769971200], [[[1, 12], [2, 1], [3, 1], [4, 1], [5, 1], [6, 2]], 1513/48157949952000], [[[1, 12], [2, 1], [3, 1], [4, 1], [5, 1], [8, 1]], 181/297271296000], [[[1, 12], [2, 1], [3, 1], [4, 1], [5, 1], [10, 1]], 113/3344302080000], [[[1, 12], [2, 1], [3, 1], [4, 1], [5, 1], [12, 1]], 131/535088332800], [[[1, 12], [2, 1], [3, 1], [4, 1], [6, 1], [7, 1]], 281/2809213747200], [[[1, 12], [2, 1], [3, 1], [4, 1], [6, 1], [9, 1]], 5/192631799808], [[[1, 12], [2, 1], [3, 1], [4, 1], [6, 1], [18, 1]], 29/14447384985600], [[[1, 12], [2, 1], [3, 1], [4, 1], [6, 2], [8, 1]], 67/77052719923200], [[[1, 12], [2, 1], [3, 1], [4, 1], [6, 2], [10, 1]], 1/48157949952000], [[[1, 12], [2, 1], [3, 1], [4, 1], [6, 2], [12, 1]], 19/46231631953920], [[[1, 12], [2, 1], [3, 1], [4, 1], [8, 1], [12, 1]], 67/12842119987200], [[[1, 12], [2, 1], [3, 1], [4, 1], [10, 1], [12, 1]], 1/8026324992000], [[[1, 12], [2, 1], [3, 1], [4, 2], [5, 1], [6, 1]], 1/6370099200], [[[1, 12], [2, 1], [3, 1], [4, 2], [6, 1], [8, 1]], 457/19263179980800], [[[1, 12], [2, 1], [3, 1], [4, 2], [6, 1], [10, 1]], 71/48157949952000], [[[1, 12], [2, 1], [3, 1], [4, 2], [6, 1], [12, 1]], 221/115579079884800], [[[1, 12], [2, 1], [3, 1], [5, 1], [6, 1], [8, 1]], 113/4013162496000], [[[1, 12], [2, 1], [3, 1], [5, 1], [6, 1], [10, 1]], 113/5016453120000], [[[1, 12], [2, 1], [3, 1], [5, 1], [6, 1], [12, 1]], 113/4013162496000], [[[1, 12], [2, 1], [3, 1], [6, 1], [8, 1], [12, 1]], 1/9631589990400], [[[1, 12], [2, 1], [3, 1], [6, 1], [10, 1], [12, 1]], 1/12039487488000], [[[1, 12], [2, 1], [3, 2], [4, 1], [5, 1], [6, 1]], 691/2006581248000], [[[1, 12], [2, 1], [3, 2], [4, 1], [6, 1], [8, 1]], 4481/51368479948800], [[[1, 12], [2, 1], [3, 2], [4, 1], [6, 1], [12, 1]], 1499/77052719923200], [[[1, 12], [2, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 1/10701766656000], [[[1, 12], [2, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 1/8561413324800], [[[1, 12], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1]], 7087/752467968000], [[[1, 12], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1]], 7781/5503765708800], [[[1, 12], [2, 3], [3, 1], [4, 1], [6, 1], [10, 1]], 199/1203948748800], [[[1, 12], [2, 3], [3, 1], [4, 1], [6, 1], [12, 1]], 1027/4127824281600], [[[1, 13], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1]], 6331/20065812480000], [[[1, 13], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1]], 1283/77052719923200], [[[1, 13], [2, 2], [3, 1], [4, 1], [6, 1], [10, 1]], 31/16052649984000], [[[1, 13], [2, 2], [3, 1], [4, 1], [6, 1], [12, 1]], 83/23115815976960], [[[1, 14], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1]], 1/424673280000], [[[1, 14], [2, 1], [3, 1], [4, 1], [6, 1], [8, 1]], 1/25684239974400], [[[1, 14], [2, 1], [3, 1], [4, 1], [6, 1], [12, 1]], 1/115579079884800], [[[2, 1], [3, 1], [4, 2], [5, 2], [9, 1], [12, 1]], 1/4665600], [[[2, 1], [3, 1], [4, 2], [6, 2], [9, 1], [12, 2]], 1/2239488], [[[2, 1], [3, 1], [4, 2], [6, 4], [9, 1], [12, 1]], 1/1209323520], [[[2, 1], [3, 1], [4, 2], [8, 1], [9, 1], [16, 1]], 1/27648], [[[2, 1], [3, 1], [4, 2], [8, 2], [9, 1], [12, 1]], 13/1492992], [[[2, 1], [3, 1], [4, 2], [9, 1], [10, 2], [12, 1]], 1/4665600], [[[2, 1], [3, 1], [4, 2], [9, 1], [12, 1], [15, 1]], 1/233280], [[[2, 1], [3, 1], [4, 2], [9, 1], [12, 1], [20, 1]], 13/155520], [[[2, 1], [3, 1], [4, 2], [9, 1], [12, 1], [24, 1]], 7/186624], [[[2, 1], [3, 1], [4, 2], [9, 1], [12, 1], [30, 1]], 1/233280], [[[2, 1], [3, 1], [4, 4], [6, 1], [9, 1], [18, 1]], 7/67184640], [[[2, 1], [3, 1], [4, 4], [6, 2], [9, 1], [12, 1]], 1/1433272320], [[[2, 1], [3, 1], [5, 2], [6, 1], [9, 1], [18, 1]], 7/874800], [[[2, 1], [3, 1], [5, 2], [6, 2], [9, 1], [12, 1]], 1/18662400], [[[2, 1], [3, 1], [6, 1], [8, 2], [9, 1], [18, 1]], 7/279936], [[[2, 1], [3, 1], [6, 1], [9, 1], [10, 2], [18, 1]], 7/874800], [[[2, 1], [3, 1], [6, 1], [9, 1], [12, 2], [18, 1]], 7/419904], [[[2, 1], [3, 1], [6, 1], [9, 1], [15, 1], [18, 1]], 7/43740], [[[2, 1], [3, 1], [6, 1], [9, 1], [18, 1], [20, 1]], 7/29160], [[[2, 1], [3, 1], [6, 1], [9, 1], [18, 1], [24, 1]], 7/34992], [[[2, 1], [3, 1], [6, 1], [9, 1], [18, 1], [30, 1]], 7/43740], [[[2, 1], [3, 1], [6, 2], [8, 2], [9, 1], [12, 1]], 1/5971968], [[[2, 1], [3, 1], [6, 2], [9, 1], [10, 2], [12, 1]], 1/18662400], [[[2, 1], [3, 1], [6, 2], [9, 1], [12, 1], [15, 1]], 1/933120], [[[2, 1], [3, 1], [6, 2], [9, 1], [12, 1], [20, 1]], 1/622080], [[[2, 1], [3, 1], [6, 2], [9, 1], [12, 1], [24, 1]], 1/746496], [[[2, 1], [3, 1], [6, 2], [9, 1], [12, 1], [30, 1]], 1/933120], [[[2, 1], [3, 1], [6, 3], [9, 1], [12, 1], [18, 1]], 7/419904], [[[2, 1], [3, 2], [4, 2], [5, 2], [6, 2], [12, 1]], 73/149299200], [[[2, 1], [3, 2], [4, 2], [6, 1], [12, 2], [18, 1]], 1/2239488], [[[2, 1], [3, 2], [4, 2], [6, 2], [8, 1], [16, 1]], 1/884736], [[[2, 1], [3, 2], [4, 2], [6, 2], [8, 2], [12, 1]], 85/47775744], [[[2, 1], [3, 2], [4, 2], [6, 2], [10, 2], [12, 1]], 73/149299200], [[[2, 1], [3, 2], [4, 2], [6, 2], [12, 1], [15, 1]], 73/7464960], [[[2, 1], [3, 2], [4, 2], [6, 2], [12, 1], [20, 1]], 17/995328], [[[2, 1], [3, 2], [4, 2], [6, 2], [12, 1], [24, 1]], 151/5971968], [[[2, 1], [3, 2], [4, 2], [6, 2], [12, 1], [30, 1]], 73/7464960], [[[2, 1], [3, 2], [4, 2], [6, 3], [12, 1], [18, 1]], 73/13436928], [[[2, 1], [3, 2], [4, 2], [8, 1], [12, 1], [16, 1]], 1/147456], [[[2, 1], [3, 2], [4, 4], [6, 1], [12, 1], [18, 1]], 1/1433272320], [[[2, 1], [3, 2], [5, 2], [6, 1], [12, 1], [18, 1]], 1/18662400], [[[2, 1], [3, 2], [6, 1], [8, 2], [12, 1], [18, 1]], 1/5971968], [[[2, 1], [3, 2], [6, 1], [10, 2], [12, 1], [18, 1]], 1/18662400], [[[2, 1], [3, 2], [6, 1], [12, 1], [15, 1], [18, 1]], 1/933120], [[[2, 1], [3, 2], [6, 1], [12, 1], [18, 1], [20, 1]], 1/622080], [[[2, 1], [3, 2], [6, 1], [12, 1], [18, 1], [24, 1]], 1/746496], [[[2, 1], [3, 2], [6, 1], [12, 1], [18, 1], [30, 1]], 1/933120], [[[2, 1], [3, 3], [4, 2], [6, 2], [9, 1], [12, 1]], 73/13436928], [[[2, 1], [3, 3], [6, 1], [9, 1], [12, 1], [18, 1]], 7/419904], [[[2, 1], [3, 4], [4, 2], [6, 1], [12, 1], [18, 1]], 1/1209323520], [[[2, 1], [4, 2], [5, 2], [6, 1], [12, 1], [18, 1]], 1/4665600], [[[2, 1], [4, 2], [6, 1], [8, 1], [16, 1], [18, 1]], 1/27648], [[[2, 1], [4, 2], [6, 1], [8, 2], [12, 1], [18, 1]], 13/1492992], [[[2, 1], [4, 2], [6, 1], [10, 2], [12, 1], [18, 1]], 1/4665600], [[[2, 1], [4, 2], [6, 1], [12, 1], [15, 1], [18, 1]], 1/233280], [[[2, 1], [4, 2], [6, 1], [12, 1], [18, 1], [20, 1]], 13/155520], [[[2, 1], [4, 2], [6, 1], [12, 1], [18, 1], [24, 1]], 7/186624], [[[2, 1], [4, 2], [6, 1], [12, 1], [18, 1], [30, 1]], 1/233280], [[[2, 1], [4, 2], [6, 2], [8, 1], [12, 1], [16, 1]], 1/147456], [[[2, 3], [3, 1], [4, 1], [5, 2], [8, 1], [9, 1]], 1/8294400], [[[2, 3], [3, 1], [4, 1], [6, 4], [8, 1], [9, 1]], 1/2149908480], [[[2, 3], [3, 1], [4, 1], [8, 1], [9, 1], [10, 2]], 1/8294400], [[[2, 3], [3, 1], [4, 1], [8, 1], [9, 1], [12, 2]], 1/3981312], [[[2, 3], [3, 1], [4, 1], [8, 1], [9, 1], [15, 1]], 1/414720], [[[2, 3], [3, 1], [4, 1], [8, 1], [9, 1], [20, 1]], 1/276480], [[[2, 3], [3, 1], [4, 1], [8, 1], [9, 1], [24, 1]], 1/331776], [[[2, 3], [3, 1], [4, 1], [8, 1], [9, 1], [30, 1]], 1/414720], [[[2, 3], [3, 1], [4, 2], [5, 2], [6, 1], [9, 1]], 1/37324800], [[[2, 3], [3, 1], [4, 2], [6, 1], [8, 2], [9, 1]], 1/11943936], [[[2, 3], [3, 1], [4, 2], [6, 1], [9, 1], [10, 2]], 1/37324800], [[[2, 3], [3, 1], [4, 2], [6, 1], [9, 1], [12, 2]], 17/17915904], [[[2, 3], [3, 1], [4, 2], [6, 1], [9, 1], [15, 1]], 1/1866240], [[[2, 3], [3, 1], [4, 2], [6, 1], [9, 1], [20, 1]], 1/1244160], [[[2, 3], [3, 1], [4, 2], [6, 1], [9, 1], [24, 1]], 1/1492992], [[[2, 3], [3, 1], [4, 2], [6, 1], [9, 1], [30, 1]], 1/1866240], [[[2, 3], [3, 1], [4, 2], [6, 2], [9, 1], [18, 1]], 7/839808], [[[2, 3], [3, 1], [4, 2], [6, 3], [9, 1], [12, 1]], 35/483729408], [[[2, 3], [3, 1], [4, 2], [9, 1], [12, 1], [14, 1]], 1/217728], [[[2, 3], [3, 1], [4, 2], [9, 1], [12, 1], [18, 1]], 1/839808], [[[2, 3], [3, 1], [4, 3], [8, 1], [9, 1], [12, 1]], 1/995328], [[[2, 3], [3, 1], [4, 4], [6, 1], [9, 1], [10, 1]], 1/298598400], [[[2, 3], [3, 1], [4, 4], [6, 1], [9, 1], [12, 1]], 161/716636160], [[[2, 3], [3, 1], [5, 2], [6, 1], [9, 1], [10, 1]], 1/3888000], [[[2, 3], [3, 1], [5, 2], [6, 1], [9, 1], [12, 1]], 1/9331200], [[[2, 3], [3, 1], [6, 1], [8, 2], [9, 1], [10, 1]], 1/1244160], [[[2, 3], [3, 1], [6, 1], [8, 2], [9, 1], [12, 1]], 1/2985984], [[[2, 3], [3, 1], [6, 1], [9, 1], [10, 1], [12, 2]], 1/1866240], [[[2, 3], [3, 1], [6, 1], [9, 1], [10, 1], [15, 1]], 1/194400], [[[2, 3], [3, 1], [6, 1], [9, 1], [10, 1], [20, 1]], 1/129600], [[[2, 3], [3, 1], [6, 1], [9, 1], [10, 1], [24, 1]], 1/155520], [[[2, 3], [3, 1], [6, 1], [9, 1], [10, 1], [30, 1]], 1/194400], [[[2, 3], [3, 1], [6, 1], [9, 1], [10, 2], [12, 1]], 1/9331200], [[[2, 3], [3, 1], [6, 1], [9, 1], [12, 1], [15, 1]], 1/466560], [[[2, 3], [3, 1], [6, 1], [9, 1], [12, 1], [20, 1]], 1/311040], [[[2, 3], [3, 1], [6, 1], [9, 1], [12, 1], [24, 1]], 1/373248], [[[2, 3], [3, 1], [6, 1], [9, 1], [12, 1], [30, 1]], 1/466560], [[[2, 3], [3, 1], [6, 1], [9, 1], [14, 1], [18, 1]], 1/5832], [[[2, 3], [3, 1], [6, 2], [9, 1], [10, 1], [18, 1]], 7/87480], [[[2, 3], [3, 1], [6, 2], [9, 1], [12, 1], [14, 1]], 1/870912], [[[2, 3], [3, 1], [6, 2], [9, 1], [12, 1], [18, 1]], 113/3359232], [[[2, 3], [3, 1], [6, 3], [9, 1], [10, 1], [12, 1]], 1/1866240], [[[2, 3], [3, 2], [4, 1], [5, 2], [6, 2], [8, 1]], 1/265420800], [[[2, 3], [3, 2], [4, 1], [5, 2], [8, 1], [12, 1]], 1/44236800], [[[2, 3], [3, 2], [4, 1], [6, 2], [8, 1], [10, 2]], 1/265420800], [[[2, 3], [3, 2], [4, 1], [6, 2], [8, 1], [12, 2]], 151/127401984], [[[2, 3], [3, 2], [4, 1], [6, 2], [8, 1], [15, 1]], 1/13271040], [[[2, 3], [3, 2], [4, 1], [6, 2], [8, 1], [20, 1]], 1/8847360], [[[2, 3], [3, 2], [4, 1], [6, 2], [8, 1], [24, 1]], 73/10616832], [[[2, 3], [3, 2], [4, 1], [6, 2], [8, 1], [30, 1]], 1/13271040], [[[2, 3], [3, 2], [4, 1], [6, 3], [8, 1], [18, 1]], 1/23887872], [[[2, 3], [3, 2], [4, 1], [6, 4], [8, 1], [12, 1]], 91/11466178560], [[[2, 3], [3, 2], [4, 1], [8, 1], [10, 2], [12, 1]], 1/44236800], [[[2, 3], [3, 2], [4, 1], [8, 1], [12, 1], [15, 1]], 1/2211840], [[[2, 3], [3, 2], [4, 1], [8, 1], [12, 1], [20, 1]], 1/1474560], [[[2, 3], [3, 2], [4, 1], [8, 1], [12, 1], [24, 1]], 1/1769472], [[[2, 3], [3, 2], [4, 1], [8, 1], [12, 1], [30, 1]], 1/2211840], [[[2, 3], [3, 2], [4, 2], [5, 2], [6, 1], [12, 1]], 11/597196800], [[[2, 3], [3, 2], [4, 2], [6, 1], [8, 1], [16, 1]], 1/442368], [[[2, 3], [3, 2], [4, 2], [6, 1], [8, 2], [12, 1]], 107/191102976], [[[2, 3], [3, 2], [4, 2], [6, 1], [10, 1], [12, 2]], 1/2488320], [[[2, 3], [3, 2], [4, 2], [6, 1], [10, 2], [12, 1]], 11/597196800], [[[2, 3], [3, 2], [4, 2], [6, 1], [12, 1], [15, 1]], 11/29859840], [[[2, 3], [3, 2], [4, 2], [6, 1], [12, 1], [20, 1]], 107/19906560], [[[2, 3], [3, 2], [4, 2], [6, 1], [12, 1], [24, 1]], 59/23887872], [[[2, 3], [3, 2], [4, 2], [6, 1], [12, 1], [30, 1]], 11/29859840], [[[2, 3], [3, 2], [4, 2], [6, 2], [12, 1], [14, 1]], 73/6967296], [[[2, 3], [3, 2], [4, 2], [6, 2], [12, 1], [18, 1]], 157/53747712], [[[2, 3], [3, 2], [4, 2], [6, 3], [10, 1], [12, 1]], 73/14929920], [[[2, 3], [3, 2], [4, 3], [6, 2], [8, 1], [12, 1]], 73/31850496], [[[2, 3], [3, 2], [4, 4], [6, 1], [10, 1], [12, 1]], 1/1592524800], [[[2, 3], [3, 2], [5, 2], [6, 1], [10, 1], [12, 1]], 1/20736000], [[[2, 3], [3, 2], [6, 1], [8, 2], [10, 1], [12, 1]], 1/6635520], [[[2, 3], [3, 2], [6, 1], [10, 1], [12, 1], [15, 1]], 1/1036800], [[[2, 3], [3, 2], [6, 1], [10, 1], [12, 1], [20, 1]], 1/691200], [[[2, 3], [3, 2], [6, 1], [10, 1], [12, 1], [24, 1]], 1/829440], [[[2, 3], [3, 2], [6, 1], [10, 1], [12, 1], [30, 1]], 1/1036800], [[[2, 3], [3, 2], [6, 1], [12, 1], [14, 1], [18, 1]], 1/870912], [[[2, 3], [3, 2], [6, 2], [10, 1], [12, 1], [18, 1]], 1/1866240], [[[2, 3], [3, 3], [4, 1], [6, 2], [8, 1], [9, 1]], 1/23887872], [[[2, 3], [3, 3], [4, 1], [8, 1], [9, 1], [12, 1]], 1/3981312], [[[2, 3], [3, 3], [4, 2], [6, 1], [9, 1], [12, 1]], 11/53747712], [[[2, 3], [3, 3], [6, 1], [9, 1], [10, 1], [12, 1]], 1/1866240], [[[2, 3], [3, 4], [4, 1], [6, 1], [8, 1], [18, 1]], 1/2149908480], [[[2, 3], [3, 4], [4, 1], [6, 2], [8, 1], [12, 1]], 91/11466178560], [[[2, 3], [3, 4], [4, 2], [6, 1], [10, 1], [12, 1]], 1/1343692800], [[[2, 3], [4, 1], [5, 2], [6, 1], [8, 1], [18, 1]], 1/8294400], [[[2, 3], [4, 1], [5, 2], [6, 2], [8, 1], [12, 1]], 1/44236800], [[[2, 3], [4, 1], [6, 1], [8, 1], [10, 2], [18, 1]], 1/8294400], [[[2, 3], [4, 1], [6, 1], [8, 1], [12, 2], [18, 1]], 1/3981312], [[[2, 3], [4, 1], [6, 1], [8, 1], [15, 1], [18, 1]], 1/414720], [[[2, 3], [4, 1], [6, 1], [8, 1], [18, 1], [20, 1]], 1/276480], [[[2, 3], [4, 1], [6, 1], [8, 1], [18, 1], [24, 1]], 1/331776], [[[2, 3], [4, 1], [6, 1], [8, 1], [18, 1], [30, 1]], 1/414720], [[[2, 3], [4, 1], [6, 2], [8, 1], [10, 2], [12, 1]], 1/44236800], [[[2, 3], [4, 1], [6, 2], [8, 1], [12, 1], [15, 1]], 1/2211840], [[[2, 3], [4, 1], [6, 2], [8, 1], [12, 1], [20, 1]], 1/1474560], [[[2, 3], [4, 1], [6, 2], [8, 1], [12, 1], [24, 1]], 2305/1769472], [[[2, 3], [4, 1], [6, 2], [8, 1], [12, 1], [30, 1]], 1/2211840], [[[2, 3], [4, 1], [6, 3], [8, 1], [12, 1], [18, 1]], 1/3981312], [[[2, 3], [4, 2], [5, 2], [6, 1], [10, 1], [12, 1]], 1/5184000], [[[2, 3], [4, 2], [6, 1], [8, 1], [10, 1], [16, 1]], 1/30720], [[[2, 3], [4, 2], [6, 1], [8, 1], [12, 1], [16, 1]], 1/73728], [[[2, 3], [4, 2], [6, 1], [8, 2], [10, 1], [12, 1]], 13/1658880], [[[2, 3], [4, 2], [6, 1], [10, 1], [12, 1], [15, 1]], 1/259200], [[[2, 3], [4, 2], [6, 1], [10, 1], [12, 1], [20, 1]], 13/172800], [[[2, 3], [4, 2], [6, 1], [10, 1], [12, 1], [24, 1]], 7/207360], [[[2, 3], [4, 2], [6, 1], [10, 1], [12, 1], [30, 1]], 1/259200], [[[2, 3], [4, 2], [6, 1], [12, 1], [14, 1], [18, 1]], 1/217728], [[[2, 3], [4, 2], [6, 2], [10, 1], [12, 1], [18, 1]], 1/466560], [[[2, 3], [4, 3], [6, 1], [8, 1], [12, 1], [18, 1]], 1/995328], [[[2, 5], [3, 1], [4, 1], [6, 3], [8, 1], [9, 1]], 1/107495424], [[[2, 5], [3, 1], [4, 1], [8, 1], [9, 1], [14, 1]], 1/387072], [[[2, 5], [3, 1], [4, 1], [8, 1], [9, 1], [18, 1]], 1/1492992], [[[2, 5], [3, 1], [4, 2], [6, 1], [9, 1], [14, 1]], 1/1741824], [[[2, 5], [3, 1], [4, 2], [6, 1], [9, 1], [18, 1]], 11/26873856], [[[2, 5], [3, 1], [4, 2], [6, 2], [9, 1], [10, 1]], 1/3732480], [[[2, 5], [3, 1], [4, 2], [6, 2], [9, 1], [12, 1]], 841/5159780352], [[[2, 5], [3, 1], [4, 2], [9, 1], [10, 1], [12, 1]], 1/9331200], [[[2, 5], [3, 1], [4, 3], [6, 1], [8, 1], [9, 1]], 1/7962624], [[[2, 5], [3, 1], [6, 1], [9, 1], [10, 1], [14, 1]], 1/181440], [[[2, 5], [3, 1], [6, 1], [9, 1], [10, 1], [18, 1]], 19/3499200], [[[2, 5], [3, 1], [6, 1], [9, 1], [12, 1], [14, 1]], 1/435456], [[[2, 5], [3, 1], [6, 1], [9, 1], [12, 1], [18, 1]], 1/1679616], [[[2, 5], [3, 1], [6, 2], [9, 1], [10, 1], [12, 1]], 41/37324800], [[[2, 5], [3, 2], [4, 1], [5, 2], [6, 1], [8, 1]], 1/132710400], [[[2, 5], [3, 2], [4, 1], [6, 1], [8, 1], [10, 2]], 1/132710400], [[[2, 5], [3, 2], [4, 1], [6, 1], [8, 1], [12, 2]], 7/63700992], [[[2, 5], [3, 2], [4, 1], [6, 1], [8, 1], [15, 1]], 1/6635520], [[[2, 5], [3, 2], [4, 1], [6, 1], [8, 1], [20, 1]], 1/4423680], [[[2, 5], [3, 2], [4, 1], [6, 1], [8, 1], [24, 1]], 1/5308416], [[[2, 5], [3, 2], [4, 1], [6, 1], [8, 1], [30, 1]], 1/6635520], [[[2, 5], [3, 2], [4, 1], [6, 2], [8, 1], [14, 1]], 1/12386304], [[[2, 5], [3, 2], [4, 1], [6, 2], [8, 1], [18, 1]], 5/47775744], [[[2, 5], [3, 2], [4, 1], [6, 3], [8, 1], [10, 1]], 1/26542080], [[[2, 5], [3, 2], [4, 1], [6, 3], [8, 1], [12, 1]], 19/573308928], [[[2, 5], [3, 2], [4, 1], [8, 1], [12, 1], [14, 1]], 1/2064384], [[[2, 5], [3, 2], [4, 1], [8, 1], [12, 1], [18, 1]], 1/7962624], [[[2, 5], [3, 2], [4, 2], [6, 1], [12, 1], [14, 1]], 11/27869184], [[[2, 5], [3, 2], [4, 2], [6, 1], [12, 1], [18, 1]], 179/1719926784], [[[2, 5], [3, 2], [4, 2], [6, 2], [10, 1], [12, 1]], 1/2332800], [[[2, 5], [3, 2], [4, 3], [6, 1], [8, 1], [12, 1]], 11/127401984], [[[2, 5], [3, 2], [6, 1], [10, 1], [12, 1], [14, 1]], 1/967680], [[[2, 5], [3, 2], [6, 1], [10, 1], [12, 1], [18, 1]], 11/37324800], [[[2, 5], [3, 3], [4, 1], [6, 1], [8, 1], [9, 1]], 1/11943936], [[[2, 5], [3, 4], [4, 1], [6, 1], [8, 1], [10, 1]], 1/2388787200], [[[2, 5], [3, 4], [4, 1], [6, 1], [8, 1], [12, 1]], 91/5733089280], [[[2, 5], [4, 1], [5, 2], [6, 1], [8, 1], [10, 1]], 1/9216000], [[[2, 5], [4, 1], [5, 2], [6, 1], [8, 1], [12, 1]], 1/22118400], [[[2, 5], [4, 1], [6, 1], [8, 1], [10, 1], [12, 2]], 1/4423680], [[[2, 5], [4, 1], [6, 1], [8, 1], [10, 1], [15, 1]], 1/460800], [[[2, 5], [4, 1], [6, 1], [8, 1], [10, 1], [20, 1]], 1/307200], [[[2, 5], [4, 1], [6, 1], [8, 1], [10, 1], [24, 1]], 1/368640], [[[2, 5], [4, 1], [6, 1], [8, 1], [10, 1], [30, 1]], 1/460800], [[[2, 5], [4, 1], [6, 1], [8, 1], [10, 2], [12, 1]], 1/22118400], [[[2, 5], [4, 1], [6, 1], [8, 1], [12, 1], [15, 1]], 1/1105920], [[[2, 5], [4, 1], [6, 1], [8, 1], [12, 1], [20, 1]], 1/737280], [[[2, 5], [4, 1], [6, 1], [8, 1], [12, 1], [24, 1]], 1/884736], [[[2, 5], [4, 1], [6, 1], [8, 1], [12, 1], [30, 1]], 1/1105920], [[[2, 5], [4, 1], [6, 1], [8, 1], [14, 1], [18, 1]], 1/387072], [[[2, 5], [4, 1], [6, 2], [8, 1], [10, 1], [18, 1]], 1/829440], [[[2, 5], [4, 1], [6, 2], [8, 1], [12, 1], [14, 1]], 1/2064384], [[[2, 5], [4, 1], [6, 2], [8, 1], [12, 1], [18, 1]], 5/7962624], [[[2, 5], [4, 1], [6, 3], [8, 1], [10, 1], [12, 1]], 1/4423680], [[[2, 5], [4, 2], [6, 1], [10, 1], [12, 1], [14, 1]], 1/241920], [[[2, 5], [4, 2], [6, 1], [10, 1], [12, 1], [18, 1]], 11/9331200], [[[2, 5], [4, 3], [6, 1], [8, 1], [10, 1], [12, 1]], 1/1105920], [[[2, 7], [3, 1], [4, 1], [6, 2], [8, 1], [9, 1]], 1/35831808], [[[2, 7], [3, 1], [4, 1], [8, 1], [9, 1], [10, 1]], 1/16588800], [[[2, 7], [3, 1], [4, 2], [6, 1], [9, 1], [10, 1]], 13/597196800], [[[2, 7], [3, 1], [4, 2], [6, 1], [9, 1], [12, 1]], 151/38698352640], [[[2, 7], [3, 1], [6, 1], [9, 1], [10, 1], [12, 1]], 1/18662400], [[[2, 7], [3, 2], [4, 1], [6, 1], [8, 1], [14, 1]], 1/6193152], [[[2, 7], [3, 2], [4, 1], [6, 1], [8, 1], [18, 1]], 1/23887872], [[[2, 7], [3, 2], [4, 1], [6, 2], [8, 1], [10, 1]], 41/530841600], [[[2, 7], [3, 2], [4, 1], [6, 2], [8, 1], [12, 1]], 7/191102976], [[[2, 7], [3, 2], [4, 1], [8, 1], [10, 1], [12, 1]], 1/88473600], [[[2, 7], [3, 2], [4, 2], [6, 1], [10, 1], [12, 1]], 103/9555148800], [[[2, 7], [4, 1], [6, 1], [8, 1], [10, 1], [14, 1]], 1/430080], [[[2, 7], [4, 1], [6, 1], [8, 1], [10, 1], [18, 1]], 11/16588800], [[[2, 7], [4, 1], [6, 1], [8, 1], [12, 1], [14, 1]], 1/1032192], [[[2, 7], [4, 1], [6, 1], [8, 1], [12, 1], [18, 1]], 1/3981312], [[[2, 7], [4, 1], [6, 2], [8, 1], [10, 1], [12, 1]], 41/88473600], [[[2, 9], [3, 1], [4, 1], [6, 1], [8, 1], [9, 1]], 1/4299816960], [[[2, 9], [3, 2], [4, 1], [6, 1], [8, 1], [10, 1]], 1/265420800], [[[2, 9], [3, 2], [4, 1], [6, 1], [8, 1], [12, 1]], 1/22932357120], [[[2, 9], [4, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 1/44236800], [[[1, 1], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [10, 3]], 1/144000], [[[1, 1], [2, 2], [3, 1], [4, 1], [5, 1], [6, 4], [9, 1]], 1/671846400], [[[1, 1], [2, 2], [3, 1], [4, 1], [5, 1], [6, 5], [10, 1]], 1/37324800], [[[1, 1], [2, 2], [3, 1], [4, 1], [5, 1], [8, 2], [9, 1]], 1/829440], [[[1, 1], [2, 2], [3, 1], [4, 1], [5, 1], [9, 1], [10, 2]], 1/2592000], [[[1, 1], [2, 2], [3, 1], [4, 1], [5, 1], [9, 1], [12, 2]], 1/1244160], [[[1, 1], [2, 2], [3, 1], [4, 1], [5, 1], [9, 1], [15, 1]], 1/129600], [[[1, 1], [2, 2], [3, 1], [4, 1], [5, 1], [9, 1], [20, 1]], 1/86400], [[[1, 1], [2, 2], [3, 1], [4, 1], [5, 1], [9, 1], [24, 1]], 1/103680], [[[1, 1], [2, 2], [3, 1], [4, 1], [5, 1], [9, 1], [30, 1]], 1/129600], [[[1, 1], [2, 2], [3, 1], [4, 1], [5, 2], [6, 1], [8, 2]], 1/16588800], [[[1, 1], [2, 2], [3, 1], [4, 1], [5, 2], [6, 1], [10, 2]], 301/51840000], [[[1, 1], [2, 2], [3, 1], [4, 1], [5, 2], [6, 1], [12, 2]], 37/24883200], [[[1, 1], [2, 2], [3, 1], [4, 1], [5, 2], [6, 1], [15, 1]], 1/2592000], [[[1, 1], [2, 2], [3, 1], [4, 1], [5, 2], [6, 1], [16, 1]], 1/115200], [[[1, 1], [2, 2], [3, 1], [4, 1], [5, 2], [6, 1], [20, 1]], 1/1728000], [[[1, 1], [2, 2], [3, 1], [4, 1], [5, 2], [6, 1], [24, 1]], 19/2073600], [[[1, 1], [2, 2], [3, 1], [4, 1], [5, 2], [6, 1], [30, 1]], 1/2592000], [[[1, 1], [2, 2], [3, 1], [4, 1], [5, 2], [6, 2], [18, 1]], 1/4665600], [[[1, 1], [2, 2], [3, 1], [4, 1], [5, 2], [6, 3], [12, 1]], 1/24883200], [[[1, 1], [2, 2], [3, 1], [4, 1], [5, 2], [8, 1], [9, 1]], 11/8294400], [[[1, 1], [2, 2], [3, 1], [4, 1], [5, 2], [9, 1], [10, 1]], 1/2592000], [[[1, 1], [2, 2], [3, 1], [4, 1], [5, 2], [9, 1], [12, 1]], 1/1555200], [[[1, 1], [2, 2], [3, 1], [4, 1], [5, 3], [6, 1], [10, 1]], 1/144000], [[[1, 1], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1], [12, 3]], 1/82944], [[[1, 1], [2, 2], [3, 1], [4, 1], [6, 1], [8, 2], [10, 2]], 1/16588800], [[[1, 1], [2, 2], [3, 1], [4, 1], [6, 1], [8, 2], [12, 2]], 37/7962624], [[[1, 1], [2, 2], [3, 1], [4, 1], [6, 1], [8, 2], [15, 1]], 1/829440], [[[1, 1], [2, 2], [3, 1], [4, 1], [6, 1], [8, 2], [16, 1]], 1/36864], [[[1, 1], [2, 2], [3, 1], [4, 1], [6, 1], [8, 2], [20, 1]], 1/552960], [[[1, 1], [2, 2], [3, 1], [4, 1], [6, 1], [8, 2], [24, 1]], 17/221184], [[[1, 1], [2, 2], [3, 1], [4, 1], [6, 1], [8, 2], [30, 1]], 1/829440], [[[1, 1], [2, 2], [3, 1], [4, 1], [6, 1], [8, 3], [12, 1]], 1/55296], [[[1, 1], [2, 2], [3, 1], [4, 1], [6, 1], [10, 2], [12, 2]], 37/24883200], [[[1, 1], [2, 2], [3, 1], [4, 1], [6, 1], [10, 2], [15, 1]], 1/2592000], [[[1, 1], [2, 2], [3, 1], [4, 1], [6, 1], [10, 2], [16, 1]], 1/115200], [[[1, 1], [2, 2], [3, 1], [4, 1], [6, 1], [10, 2], [20, 1]], 1/1728000], [[[1, 1], [2, 2], [3, 1], [4, 1], [6, 1], [10, 2], [24, 1]], 19/2073600], [[[1, 1], [2, 2], [3, 1], [4, 1], [6, 1], [10, 2], [30, 1]], 1/2592000], [[[1, 1], [2, 2], [3, 1], [4, 1], [6, 1], [12, 1], [36, 1]], 109/15552], [[[1, 1], [2, 2], [3, 1], [4, 1], [6, 1], [12, 2], [15, 1]], 37/1244160], [[[1, 1], [2, 2], [3, 1], [4, 1], [6, 1], [12, 2], [16, 1]], 1/55296], [[[1, 1], [2, 2], [3, 1], [4, 1], [6, 1], [12, 2], [20, 1]], 37/829440], [[[1, 1], [2, 2], [3, 1], [4, 1], [6, 1], [12, 2], [24, 1]], 67/995328], [[[1, 1], [2, 2], [3, 1], [4, 1], [6, 1], [12, 2], [30, 1]], 37/1244160], [[[1, 1], [2, 2], [3, 1], [4, 1], [6, 1], [15, 1], [16, 1]], 1/5760], [[[1, 1], [2, 2], [3, 1], [4, 1], [6, 1], [15, 1], [20, 1]], 1/86400], [[[1, 1], [2, 2], [3, 1], [4, 1], [6, 1], [15, 1], [24, 1]], 19/103680], [[[1, 1], [2, 2], [3, 1], [4, 1], [6, 1], [15, 1], [30, 1]], 1/8100], [[[1, 1], [2, 2], [3, 1], [4, 1], [6, 1], [16, 1], [20, 1]], 1/3840], [[[1, 1], [2, 2], [3, 1], [4, 1], [6, 1], [16, 1], [24, 1]], 1/4608], [[[1, 1], [2, 2], [3, 1], [4, 1], [6, 1], [16, 1], [30, 1]], 1/5760], [[[1, 1], [2, 2], [3, 1], [4, 1], [6, 1], [20, 1], [24, 1]], 19/69120], [[[1, 1], [2, 2], [3, 1], [4, 1], [6, 1], [20, 1], [30, 1]], 1/86400], [[[1, 1], [2, 2], [3, 1], [4, 1], [6, 1], [24, 1], [30, 1]], 19/103680], [[[1, 1], [2, 2], [3, 1], [4, 1], [6, 2], [8, 2], [18, 1]], 1/1492992], [[[1, 1], [2, 2], [3, 1], [4, 1], [6, 2], [9, 1], [12, 2]], 1/746496], [[[1, 1], [2, 2], [3, 1], [4, 1], [6, 2], [10, 2], [18, 1]], 1/4665600], [[[1, 1], [2, 2], [3, 1], [4, 1], [6, 2], [12, 2], [18, 1]], 37/2239488], [[[1, 1], [2, 2], [3, 1], [4, 1], [6, 2], [15, 1], [18, 1]], 1/233280], [[[1, 1], [2, 2], [3, 1], [4, 1], [6, 2], [16, 1], [18, 1]], 1/10368], [[[1, 1], [2, 2], [3, 1], [4, 1], [6, 2], [18, 1], [20, 1]], 1/155520], [[[1, 1], [2, 2], [3, 1], [4, 1], [6, 2], [18, 1], [24, 1]], 19/186624], [[[1, 1], [2, 2], [3, 1], [4, 1], [6, 2], [18, 1], [30, 1]], 1/233280], [[[1, 1], [2, 2], [3, 1], [4, 1], [6, 3], [8, 1], [12, 2]], 1/82944], [[[1, 1], [2, 2], [3, 1], [4, 1], [6, 3], [8, 2], [12, 1]], 1/7962624], [[[1, 1], [2, 2], [3, 1], [4, 1], [6, 3], [10, 2], [12, 1]], 1/24883200], [[[1, 1], [2, 2], [3, 1], [4, 1], [6, 3], [12, 1], [15, 1]], 1/1244160], [[[1, 1], [2, 2], [3, 1], [4, 1], [6, 3], [12, 1], [16, 1]], 1/55296], [[[1, 1], [2, 2], [3, 1], [4, 1], [6, 3], [12, 1], [20, 1]], 1/829440], [[[1, 1], [2, 2], [3, 1], [4, 1], [6, 3], [12, 1], [24, 1]], 19/995328], [[[1, 1], [2, 2], [3, 1], [4, 1], [6, 3], [12, 1], [30, 1]], 1/1244160], [[[1, 1], [2, 2], [3, 1], [4, 1], [6, 4], [8, 1], [9, 1]], 11/2149908480], [[[1, 1], [2, 2], [3, 1], [4, 1], [6, 4], [9, 1], [10, 1]], 1/671846400], [[[1, 1], [2, 2], [3, 1], [4, 1], [6, 4], [9, 1], [12, 1]], 1/403107840], [[[1, 1], [2, 2], [3, 1], [4, 1], [6, 4], [12, 1], [18, 1]], 1/2239488], [[[1, 1], [2, 2], [3, 1], [4, 1], [6, 5], [8, 1], [12, 1]], 1/44789760], [[[1, 1], [2, 2], [3, 1], [4, 1], [7, 1], [9, 1], [14, 1]], 1/6048], [[[1, 1], [2, 2], [3, 1], [4, 1], [8, 1], [9, 1], [10, 2]], 11/8294400], [[[1, 1], [2, 2], [3, 1], [4, 1], [8, 1], [9, 1], [12, 2]], 11/3981312], [[[1, 1], [2, 2], [3, 1], [4, 1], [8, 1], [9, 1], [15, 1]], 11/414720], [[[1, 1], [2, 2], [3, 1], [4, 1], [8, 1], [9, 1], [16, 1]], 5/13824], [[[1, 1], [2, 2], [3, 1], [4, 1], [8, 1], [9, 1], [20, 1]], 43/276480], [[[1, 1], [2, 2], [3, 1], [4, 1], [8, 1], [9, 1], [24, 1]], 25/110592], [[[1, 1], [2, 2], [3, 1], [4, 1], [8, 1], [9, 1], [30, 1]], 11/414720], [[[1, 1], [2, 2], [3, 1], [4, 1], [8, 2], [9, 1], [10, 1]], 1/829440], [[[1, 1], [2, 2], [3, 1], [4, 1], [8, 2], [9, 1], [12, 1]], 1/497664], [[[1, 1], [2, 2], [3, 1], [4, 1], [9, 1], [10, 1], [12, 2]], 1/1244160], [[[1, 1], [2, 2], [3, 1], [4, 1], [9, 1], [10, 1], [15, 1]], 1/129600], [[[1, 1], [2, 2], [3, 1], [4, 1], [9, 1], [10, 1], [20, 1]], 1/86400], [[[1, 1], [2, 2], [3, 1], [4, 1], [9, 1], [10, 1], [24, 1]], 1/103680], [[[1, 1], [2, 2], [3, 1], [4, 1], [9, 1], [10, 1], [30, 1]], 1/129600], [[[1, 1], [2, 2], [3, 1], [4, 1], [9, 1], [10, 2], [12, 1]], 1/1555200], [[[1, 1], [2, 2], [3, 1], [4, 1], [9, 1], [12, 1], [15, 1]], 1/77760], [[[1, 1], [2, 2], [3, 1], [4, 1], [9, 1], [12, 1], [16, 1]], 1/10368], [[[1, 1], [2, 2], [3, 1], [4, 1], [9, 1], [12, 1], [20, 1]], 1/10368], [[[1, 1], [2, 2], [3, 1], [4, 1], [9, 1], [12, 1], [24, 1]], 7/62208], [[[1, 1], [2, 2], [3, 1], [4, 1], [9, 1], [12, 1], [30, 1]], 1/77760], [[[1, 1], [2, 2], [3, 1], [4, 2], [5, 1], [6, 2], [12, 2]], 1/2488320], [[[1, 1], [2, 2], [3, 1], [4, 2], [5, 1], [6, 4], [12, 1]], 1/1343692800], [[[1, 1], [2, 2], [3, 1], [4, 2], [5, 1], [8, 1], [16, 1]], 1/30720], [[[1, 1], [2, 2], [3, 1], [4, 2], [5, 1], [8, 2], [12, 1]], 13/1658880], [[[1, 1], [2, 2], [3, 1], [4, 2], [5, 1], [10, 2], [12, 1]], 1/5184000], [[[1, 1], [2, 2], [3, 1], [4, 2], [5, 1], [12, 1], [15, 1]], 1/259200], [[[1, 1], [2, 2], [3, 1], [4, 2], [5, 1], [12, 1], [20, 1]], 13/172800], [[[1, 1], [2, 2], [3, 1], [4, 2], [5, 1], [12, 1], [24, 1]], 7/207360], [[[1, 1], [2, 2], [3, 1], [4, 2], [5, 1], [12, 1], [30, 1]], 1/259200], [[[1, 1], [2, 2], [3, 1], [4, 2], [5, 2], [6, 1], [9, 1]], 1/37324800], [[[1, 1], [2, 2], [3, 1], [4, 2], [5, 2], [6, 2], [12, 1]], 1/24883200], [[[1, 1], [2, 2], [3, 1], [4, 2], [5, 2], [8, 1], [12, 1]], 1/4147200], [[[1, 1], [2, 2], [3, 1], [4, 2], [6, 1], [8, 2], [9, 1]], 1/11943936], [[[1, 1], [2, 2], [3, 1], [4, 2], [6, 1], [9, 1], [10, 2]], 1/37324800], [[[1, 1], [2, 2], [3, 1], [4, 2], [6, 1], [9, 1], [12, 2]], 65/17915904], [[[1, 1], [2, 2], [3, 1], [4, 2], [6, 1], [9, 1], [15, 1]], 1/1866240], [[[1, 1], [2, 2], [3, 1], [4, 2], [6, 1], [9, 1], [20, 1]], 1/1244160], [[[1, 1], [2, 2], [3, 1], [4, 2], [6, 1], [9, 1], [24, 1]], 1/1492992], [[[1, 1], [2, 2], [3, 1], [4, 2], [6, 1], [9, 1], [30, 1]], 1/1866240], [[[1, 1], [2, 2], [3, 1], [4, 2], [6, 1], [12, 2], [18, 1]], 1/373248], [[[1, 1], [2, 2], [3, 1], [4, 2], [6, 2], [8, 1], [12, 2]], 1/1990656], [[[1, 1], [2, 2], [3, 1], [4, 2], [6, 2], [8, 1], [16, 1]], 1/147456], [[[1, 1], [2, 2], [3, 1], [4, 2], [6, 2], [8, 2], [12, 1]], 13/7962624], [[[1, 1], [2, 2], [3, 1], [4, 2], [6, 2], [9, 1], [18, 1]], 7/839808], [[[1, 1], [2, 2], [3, 1], [4, 2], [6, 2], [10, 2], [12, 1]], 1/24883200], [[[1, 1], [2, 2], [3, 1], [4, 2], [6, 2], [12, 1], [15, 1]], 1/1244160], [[[1, 1], [2, 2], [3, 1], [4, 2], [6, 2], [12, 1], [20, 1]], 13/829440], [[[1, 1], [2, 2], [3, 1], [4, 2], [6, 2], [12, 1], [24, 1]], 7/995328], [[[1, 1], [2, 2], [3, 1], [4, 2], [6, 2], [12, 1], [30, 1]], 1/1244160], [[[1, 1], [2, 2], [3, 1], [4, 2], [6, 3], [9, 1], [12, 1]], 59/483729408], [[[1, 1], [2, 2], [3, 1], [4, 2], [6, 3], [12, 1], [18, 1]], 1/2239488], [[[1, 1], [2, 2], [3, 1], [4, 2], [6, 4], [8, 1], [12, 1]], 1/1074954240], [[[1, 1], [2, 2], [3, 1], [4, 2], [7, 1], [9, 1], [12, 1]], 1/217728], [[[1, 1], [2, 2], [3, 1], [4, 2], [8, 1], [10, 2], [12, 1]], 1/4147200], [[[1, 1], [2, 2], [3, 1], [4, 2], [8, 1], [12, 1], [15, 1]], 1/207360], [[[1, 1], [2, 2], [3, 1], [4, 2], [8, 1], [12, 1], [16, 1]], 1/24576], [[[1, 1], [2, 2], [3, 1], [4, 2], [8, 1], [12, 1], [20, 1]], 13/138240], [[[1, 1], [2, 2], [3, 1], [4, 2], [8, 1], [12, 1], [24, 1]], 7/165888], [[[1, 1], [2, 2], [3, 1], [4, 2], [8, 1], [12, 1], [30, 1]], 1/207360], [[[1, 1], [2, 2], [3, 1], [4, 2], [9, 1], [12, 1], [14, 1]], 1/108864], [[[1, 1], [2, 2], [3, 1], [4, 2], [9, 1], [12, 1], [18, 1]], 1/209952], [[[1, 1], [2, 2], [3, 1], [4, 3], [5, 1], [9, 1], [12, 1]], 1/311040], [[[1, 1], [2, 2], [3, 1], [4, 3], [5, 2], [6, 1], [8, 1]], 1/1382400], [[[1, 1], [2, 2], [3, 1], [4, 3], [5, 2], [6, 1], [12, 1]], 19/6220800], [[[1, 1], [2, 2], [3, 1], [4, 3], [6, 1], [8, 1], [10, 2]], 1/1382400], [[[1, 1], [2, 2], [3, 1], [4, 3], [6, 1], [8, 1], [12, 2]], 11/221184], [[[1, 1], [2, 2], [3, 1], [4, 3], [6, 1], [8, 1], [15, 1]], 1/69120], [[[1, 1], [2, 2], [3, 1], [4, 3], [6, 1], [8, 1], [16, 1]], 1/36864], [[[1, 1], [2, 2], [3, 1], [4, 3], [6, 1], [8, 1], [20, 1]], 1/46080], [[[1, 1], [2, 2], [3, 1], [4, 3], [6, 1], [8, 1], [24, 1]], 1/55296], [[[1, 1], [2, 2], [3, 1], [4, 3], [6, 1], [8, 1], [30, 1]], 1/69120], [[[1, 1], [2, 2], [3, 1], [4, 3], [6, 1], [8, 2], [12, 1]], 31/1990656], [[[1, 1], [2, 2], [3, 1], [4, 3], [6, 1], [9, 1], [18, 1]], 7/1119744], [[[1, 1], [2, 2], [3, 1], [4, 3], [6, 1], [10, 2], [12, 1]], 19/6220800], [[[1, 1], [2, 2], [3, 1], [4, 3], [6, 1], [12, 1], [15, 1]], 19/311040], [[[1, 1], [2, 2], [3, 1], [4, 3], [6, 1], [12, 1], [16, 1]], 1/13824], [[[1, 1], [2, 2], [3, 1], [4, 3], [6, 1], [12, 1], [20, 1]], 31/207360], [[[1, 1], [2, 2], [3, 1], [4, 3], [6, 1], [12, 1], [24, 1]], 43/248832], [[[1, 1], [2, 2], [3, 1], [4, 3], [6, 1], [12, 1], [30, 1]], 19/311040], [[[1, 1], [2, 2], [3, 1], [4, 3], [6, 2], [8, 1], [18, 1]], 1/124416], [[[1, 1], [2, 2], [3, 1], [4, 3], [6, 2], [9, 1], [12, 1]], 1/23887872], [[[1, 1], [2, 2], [3, 1], [4, 3], [6, 2], [12, 1], [18, 1]], 19/559872], [[[1, 1], [2, 2], [3, 1], [4, 3], [6, 3], [8, 1], [12, 1]], 1/663552], [[[1, 1], [2, 2], [3, 1], [4, 3], [8, 1], [9, 1], [12, 1]], 35/995328], [[[1, 1], [2, 2], [3, 1], [4, 3], [9, 1], [10, 1], [12, 1]], 1/311040], [[[1, 1], [2, 2], [3, 1], [4, 4], [5, 1], [6, 1], [18, 1]], 1/298598400], [[[1, 1], [2, 2], [3, 1], [4, 4], [5, 1], [6, 2], [12, 1]], 1/1592524800], [[[1, 1], [2, 2], [3, 1], [4, 4], [6, 1], [8, 1], [9, 1]], 1/238878720], [[[1, 1], [2, 2], [3, 1], [4, 4], [6, 1], [8, 1], [18, 1]], 1/238878720], [[[1, 1], [2, 2], [3, 1], [4, 4], [6, 1], [9, 1], [10, 1]], 1/149299200], [[[1, 1], [2, 2], [3, 1], [4, 4], [6, 1], [9, 1], [12, 1]], 41/179159040], [[[1, 1], [2, 2], [3, 1], [4, 4], [6, 1], [12, 1], [18, 1]], 1/238878720], [[[1, 1], [2, 2], [3, 1], [4, 4], [6, 2], [8, 1], [12, 1]], 1/1274019840], [[[1, 1], [2, 2], [3, 1], [4, 5], [5, 1], [6, 1], [10, 1]], 1/11059200], [[[1, 1], [2, 2], [3, 1], [4, 5], [6, 1], [8, 1], [12, 1]], 1/163840], [[[1, 1], [2, 2], [3, 1], [5, 1], [6, 1], [8, 2], [18, 1]], 1/1244160], [[[1, 1], [2, 2], [3, 1], [5, 1], [6, 1], [9, 1], [15, 1]], 1/360], [[[1, 1], [2, 2], [3, 1], [5, 1], [6, 1], [10, 2], [18, 1]], 1/3888000], [[[1, 1], [2, 2], [3, 1], [5, 1], [6, 1], [12, 2], [18, 1]], 1/1866240], [[[1, 1], [2, 2], [3, 1], [5, 1], [6, 1], [15, 1], [18, 1]], 1/194400], [[[1, 1], [2, 2], [3, 1], [5, 1], [6, 1], [18, 1], [20, 1]], 1/129600], [[[1, 1], [2, 2], [3, 1], [5, 1], [6, 1], [18, 1], [24, 1]], 1/155520], [[[1, 1], [2, 2], [3, 1], [5, 1], [6, 1], [18, 1], [30, 1]], 1/194400], [[[1, 1], [2, 2], [3, 1], [5, 1], [6, 2], [8, 2], [12, 1]], 1/6635520], [[[1, 1], [2, 2], [3, 1], [5, 1], [6, 2], [10, 2], [12, 1]], 1/20736000], [[[1, 1], [2, 2], [3, 1], [5, 1], [6, 2], [12, 1], [15, 1]], 1/1036800], [[[1, 1], [2, 2], [3, 1], [5, 1], [6, 2], [12, 1], [20, 1]], 1/691200], [[[1, 1], [2, 2], [3, 1], [5, 1], [6, 2], [12, 1], [24, 1]], 1/829440], [[[1, 1], [2, 2], [3, 1], [5, 1], [6, 2], [12, 1], [30, 1]], 1/1036800], [[[1, 1], [2, 2], [3, 1], [5, 1], [6, 3], [12, 1], [18, 1]], 1/1866240], [[[1, 1], [2, 2], [3, 1], [5, 2], [6, 1], [8, 1], [9, 1]], 1/3110400], [[[1, 1], [2, 2], [3, 1], [5, 2], [6, 1], [8, 1], [18, 1]], 1/3110400], [[[1, 1], [2, 2], [3, 1], [5, 2], [6, 1], [9, 1], [10, 1]], 1/1944000], [[[1, 1], [2, 2], [3, 1], [5, 2], [6, 1], [9, 1], [12, 1]], 1/2332800], [[[1, 1], [2, 2], [3, 1], [5, 2], [6, 1], [12, 1], [18, 1]], 1/3110400], [[[1, 1], [2, 2], [3, 1], [5, 2], [6, 2], [8, 1], [12, 1]], 1/16588800], [[[1, 1], [2, 2], [3, 1], [6, 1], [7, 1], [9, 1], [18, 1]], 1/5832], [[[1, 1], [2, 2], [3, 1], [6, 1], [8, 1], [9, 1], [10, 2]], 1/3110400], [[[1, 1], [2, 2], [3, 1], [6, 1], [8, 1], [9, 1], [12, 2]], 1/1492992], [[[1, 1], [2, 2], [3, 1], [6, 1], [8, 1], [9, 1], [15, 1]], 1/155520], [[[1, 1], [2, 2], [3, 1], [6, 1], [8, 1], [9, 1], [20, 1]], 1/103680], [[[1, 1], [2, 2], [3, 1], [6, 1], [8, 1], [9, 1], [24, 1]], 433/124416], [[[1, 1], [2, 2], [3, 1], [6, 1], [8, 1], [9, 1], [30, 1]], 1/155520], [[[1, 1], [2, 2], [3, 1], [6, 1], [8, 1], [10, 2], [18, 1]], 1/3110400], [[[1, 1], [2, 2], [3, 1], [6, 1], [8, 1], [12, 2], [18, 1]], 1/1492992], [[[1, 1], [2, 2], [3, 1], [6, 1], [8, 1], [15, 1], [18, 1]], 1/155520], [[[1, 1], [2, 2], [3, 1], [6, 1], [8, 1], [18, 1], [20, 1]], 1/103680], [[[1, 1], [2, 2], [3, 1], [6, 1], [8, 1], [18, 1], [24, 1]], 433/124416], [[[1, 1], [2, 2], [3, 1], [6, 1], [8, 1], [18, 1], [30, 1]], 1/155520], [[[1, 1], [2, 2], [3, 1], [6, 1], [8, 2], [9, 1], [10, 1]], 1/622080], [[[1, 1], [2, 2], [3, 1], [6, 1], [8, 2], [9, 1], [12, 1]], 1/746496], [[[1, 1], [2, 2], [3, 1], [6, 1], [8, 2], [12, 1], [18, 1]], 1/995328], [[[1, 1], [2, 2], [3, 1], [6, 1], [9, 1], [10, 1], [12, 2]], 1/933120], [[[1, 1], [2, 2], [3, 1], [6, 1], [9, 1], [10, 1], [15, 1]], 1/97200], [[[1, 1], [2, 2], [3, 1], [6, 1], [9, 1], [10, 1], [20, 1]], 1/64800], [[[1, 1], [2, 2], [3, 1], [6, 1], [9, 1], [10, 1], [24, 1]], 1/77760], [[[1, 1], [2, 2], [3, 1], [6, 1], [9, 1], [10, 1], [30, 1]], 1/97200], [[[1, 1], [2, 2], [3, 1], [6, 1], [9, 1], [10, 2], [12, 1]], 1/2332800], [[[1, 1], [2, 2], [3, 1], [6, 1], [9, 1], [12, 1], [15, 1]], 1/116640], [[[1, 1], [2, 2], [3, 1], [6, 1], [9, 1], [12, 1], [20, 1]], 1/77760], [[[1, 1], [2, 2], [3, 1], [6, 1], [9, 1], [12, 1], [24, 1]], 1/93312], [[[1, 1], [2, 2], [3, 1], [6, 1], [9, 1], [12, 1], [30, 1]], 1/116640], [[[1, 1], [2, 2], [3, 1], [6, 1], [9, 1], [14, 1], [18, 1]], 1/2916], [[[1, 1], [2, 2], [3, 1], [6, 1], [10, 1], [18, 1], [30, 1]], 1/360], [[[1, 1], [2, 2], [3, 1], [6, 1], [10, 2], [12, 1], [18, 1]], 1/3110400], [[[1, 1], [2, 2], [3, 1], [6, 1], [12, 1], [15, 1], [18, 1]], 1/155520], [[[1, 1], [2, 2], [3, 1], [6, 1], [12, 1], [18, 1], [20, 1]], 1/103680], [[[1, 1], [2, 2], [3, 1], [6, 1], [12, 1], [18, 1], [24, 1]], 1/124416], [[[1, 1], [2, 2], [3, 1], [6, 1], [12, 1], [18, 1], [30, 1]], 1/155520], [[[1, 1], [2, 2], [3, 1], [6, 2], [7, 1], [9, 1], [12, 1]], 1/870912], [[[1, 1], [2, 2], [3, 1], [6, 2], [8, 1], [9, 1], [18, 1]], 7/69984], [[[1, 1], [2, 2], [3, 1], [6, 2], [8, 1], [10, 2], [12, 1]], 1/16588800], [[[1, 1], [2, 2], [3, 1], [6, 2], [8, 1], [12, 1], [15, 1]], 1/829440], [[[1, 1], [2, 2], [3, 1], [6, 2], [8, 1], [12, 1], [20, 1]], 1/552960], [[[1, 1], [2, 2], [3, 1], [6, 2], [8, 1], [12, 1], [24, 1]], 1/663552], [[[1, 1], [2, 2], [3, 1], [6, 2], [8, 1], [12, 1], [30, 1]], 1/829440], [[[1, 1], [2, 2], [3, 1], [6, 2], [9, 1], [10, 1], [18, 1]], 7/43740], [[[1, 1], [2, 2], [3, 1], [6, 2], [9, 1], [12, 1], [14, 1]], 1/435456], [[[1, 1], [2, 2], [3, 1], [6, 2], [9, 1], [12, 1], [18, 1]], 113/839808], [[[1, 1], [2, 2], [3, 1], [6, 3], [8, 1], [9, 1], [12, 1]], 1/1492992], [[[1, 1], [2, 2], [3, 1], [6, 3], [8, 1], [12, 1], [18, 1]], 1/1492992], [[[1, 1], [2, 2], [3, 1], [6, 3], [9, 1], [10, 1], [12, 1]], 1/933120], [[[1, 1], [2, 2], [3, 2], [4, 1], [5, 1], [6, 2], [8, 2]], 1/26542080], [[[1, 1], [2, 2], [3, 2], [4, 1], [5, 1], [6, 2], [10, 2]], 1/82944000], [[[1, 1], [2, 2], [3, 2], [4, 1], [5, 1], [6, 2], [12, 2]], 151/39813120], [[[1, 1], [2, 2], [3, 2], [4, 1], [5, 1], [6, 2], [15, 1]], 1/4147200], [[[1, 1], [2, 2], [3, 2], [4, 1], [5, 1], [6, 2], [20, 1]], 1/2764800], [[[1, 1], [2, 2], [3, 2], [4, 1], [5, 1], [6, 2], [24, 1]], 73/3317760], [[[1, 1], [2, 2], [3, 2], [4, 1], [5, 1], [6, 2], [30, 1]], 1/4147200], [[[1, 1], [2, 2], [3, 2], [4, 1], [5, 1], [6, 3], [18, 1]], 1/7464960], [[[1, 1], [2, 2], [3, 2], [4, 1], [5, 1], [6, 4], [12, 1]], 91/3583180800], [[[1, 1], [2, 2], [3, 2], [4, 1], [5, 1], [8, 2], [12, 1]], 1/4423680], [[[1, 1], [2, 2], [3, 2], [4, 1], [5, 1], [10, 2], [12, 1]], 1/13824000], [[[1, 1], [2, 2], [3, 2], [4, 1], [5, 1], [12, 1], [15, 1]], 1/691200], [[[1, 1], [2, 2], [3, 2], [4, 1], [5, 1], [12, 1], [20, 1]], 1/460800], [[[1, 1], [2, 2], [3, 2], [4, 1], [5, 1], [12, 1], [24, 1]], 1/552960], [[[1, 1], [2, 2], [3, 2], [4, 1], [5, 1], [12, 1], [30, 1]], 1/691200], [[[1, 1], [2, 2], [3, 2], [4, 1], [5, 2], [6, 1], [9, 1]], 1/4665600], [[[1, 1], [2, 2], [3, 2], [4, 1], [5, 2], [6, 2], [8, 1]], 11/265420800], [[[1, 1], [2, 2], [3, 2], [4, 1], [5, 2], [6, 2], [10, 1]], 1/82944000], [[[1, 1], [2, 2], [3, 2], [4, 1], [5, 2], [6, 2], [12, 1]], 73/49766400], [[[1, 1], [2, 2], [3, 2], [4, 1], [5, 2], [8, 1], [12, 1]], 11/44236800], [[[1, 1], [2, 2], [3, 2], [4, 1], [5, 2], [10, 1], [12, 1]], 1/13824000], [[[1, 1], [2, 2], [3, 2], [4, 1], [6, 1], [8, 2], [9, 1]], 1/1492992], [[[1, 1], [2, 2], [3, 2], [4, 1], [6, 1], [9, 1], [10, 2]], 1/4665600], [[[1, 1], [2, 2], [3, 2], [4, 1], [6, 1], [9, 1], [12, 2]], 37/2239488], [[[1, 1], [2, 2], [3, 2], [4, 1], [6, 1], [9, 1], [15, 1]], 1/233280], [[[1, 1], [2, 2], [3, 2], [4, 1], [6, 1], [9, 1], [16, 1]], 1/10368], [[[1, 1], [2, 2], [3, 2], [4, 1], [6, 1], [9, 1], [20, 1]], 1/155520], [[[1, 1], [2, 2], [3, 2], [4, 1], [6, 1], [9, 1], [24, 1]], 19/186624], [[[1, 1], [2, 2], [3, 2], [4, 1], [6, 1], [9, 1], [30, 1]], 1/233280], [[[1, 1], [2, 2], [3, 2], [4, 1], [6, 1], [12, 2], [18, 1]], 1/746496], [[[1, 1], [2, 2], [3, 2], [4, 1], [6, 2], [7, 1], [14, 1]], 1/193536], [[[1, 1], [2, 2], [3, 2], [4, 1], [6, 2], [8, 1], [10, 2]], 11/265420800], [[[1, 1], [2, 2], [3, 2], [4, 1], [6, 2], [8, 1], [12, 2]], 1661/127401984], [[[1, 1], [2, 2], [3, 2], [4, 1], [6, 2], [8, 1], [15, 1]], 11/13271040], [[[1, 1], [2, 2], [3, 2], [4, 1], [6, 2], [8, 1], [16, 1]], 5/442368], [[[1, 1], [2, 2], [3, 2], [4, 1], [6, 2], [8, 1], [20, 1]], 43/8847360], [[[1, 1], [2, 2], [3, 2], [4, 1], [6, 2], [8, 1], [24, 1]], 289/3538944], [[[1, 1], [2, 2], [3, 2], [4, 1], [6, 2], [8, 1], [30, 1]], 11/13271040], [[[1, 1], [2, 2], [3, 2], [4, 1], [6, 2], [8, 2], [10, 1]], 1/26542080], [[[1, 1], [2, 2], [3, 2], [4, 1], [6, 2], [8, 2], [12, 1]], 73/15925248], [[[1, 1], [2, 2], [3, 2], [4, 1], [6, 2], [9, 1], [18, 1]], 475/6718464], [[[1, 1], [2, 2], [3, 2], [4, 1], [6, 2], [10, 1], [12, 2]], 151/39813120], [[[1, 1], [2, 2], [3, 2], [4, 1], [6, 2], [10, 1], [15, 1]], 1/4147200], [[[1, 1], [2, 2], [3, 2], [4, 1], [6, 2], [10, 1], [20, 1]], 1/2764800], [[[1, 1], [2, 2], [3, 2], [4, 1], [6, 2], [10, 1], [24, 1]], 73/3317760], [[[1, 1], [2, 2], [3, 2], [4, 1], [6, 2], [10, 1], [30, 1]], 1/4147200], [[[1, 1], [2, 2], [3, 2], [4, 1], [6, 2], [10, 2], [12, 1]], 73/49766400], [[[1, 1], [2, 2], [3, 2], [4, 1], [6, 2], [12, 1], [15, 1]], 73/2488320], [[[1, 1], [2, 2], [3, 2], [4, 1], [6, 2], [12, 1], [16, 1]], 1/331776], [[[1, 1], [2, 2], [3, 2], [4, 1], [6, 2], [12, 1], [20, 1]], 77/1658880], [[[1, 1], [2, 2], [3, 2], [4, 1], [6, 2], [12, 1], [24, 1]], 151/1990656], [[[1, 1], [2, 2], [3, 2], [4, 1], [6, 2], [12, 1], [30, 1]], 73/2488320], [[[1, 1], [2, 2], [3, 2], [4, 1], [6, 3], [8, 1], [18, 1]], 11/23887872], [[[1, 1], [2, 2], [3, 2], [4, 1], [6, 3], [9, 1], [12, 1]], 1/2239488], [[[1, 1], [2, 2], [3, 2], [4, 1], [6, 3], [10, 1], [18, 1]], 1/7464960], [[[1, 1], [2, 2], [3, 2], [4, 1], [6, 3], [12, 1], [18, 1]], 73/4478976], [[[1, 1], [2, 2], [3, 2], [4, 1], [6, 4], [8, 1], [12, 1]], 1001/11466178560], [[[1, 1], [2, 2], [3, 2], [4, 1], [6, 4], [10, 1], [12, 1]], 91/3583180800], [[[1, 1], [2, 2], [3, 2], [4, 1], [7, 1], [12, 1], [14, 1]], 1/32256], [[[1, 1], [2, 2], [3, 2], [4, 1], [8, 1], [10, 2], [12, 1]], 11/44236800], [[[1, 1], [2, 2], [3, 2], [4, 1], [8, 1], [12, 1], [15, 1]], 11/2211840], [[[1, 1], [2, 2], [3, 2], [4, 1], [8, 1], [12, 1], [16, 1]], 5/73728], [[[1, 1], [2, 2], [3, 2], [4, 1], [8, 1], [12, 1], [20, 1]], 43/1474560], [[[1, 1], [2, 2], [3, 2], [4, 1], [8, 1], [12, 1], [24, 1]], 25/589824], [[[1, 1], [2, 2], [3, 2], [4, 1], [8, 1], [12, 1], [30, 1]], 11/2211840], [[[1, 1], [2, 2], [3, 2], [4, 1], [8, 2], [10, 1], [12, 1]], 1/4423680], [[[1, 1], [2, 2], [3, 2], [4, 1], [9, 1], [12, 1], [18, 1]], 1/41472], [[[1, 1], [2, 2], [3, 2], [4, 1], [10, 1], [12, 1], [15, 1]], 1/691200], [[[1, 1], [2, 2], [3, 2], [4, 1], [10, 1], [12, 1], [20, 1]], 1/460800], [[[1, 1], [2, 2], [3, 2], [4, 1], [10, 1], [12, 1], [24, 1]], 1/552960], [[[1, 1], [2, 2], [3, 2], [4, 1], [10, 1], [12, 1], [30, 1]], 1/691200], [[[1, 1], [2, 2], [3, 2], [4, 2], [5, 1], [9, 1], [12, 1]], 1/466560], [[[1, 1], [2, 2], [3, 2], [4, 2], [5, 2], [6, 1], [12, 1]], 7/119439360], [[[1, 1], [2, 2], [3, 2], [4, 2], [6, 1], [8, 1], [12, 2]], 1/1990656], [[[1, 1], [2, 2], [3, 2], [4, 2], [6, 1], [8, 1], [16, 1]], 1/110592], [[[1, 1], [2, 2], [3, 2], [4, 2], [6, 1], [8, 2], [12, 1]], 419/191102976], [[[1, 1], [2, 2], [3, 2], [4, 2], [6, 1], [10, 1], [12, 2]], 1/1244160], [[[1, 1], [2, 2], [3, 2], [4, 2], [6, 1], [10, 2], [12, 1]], 7/119439360], [[[1, 1], [2, 2], [3, 2], [4, 2], [6, 1], [12, 1], [15, 1]], 7/5971968], [[[1, 1], [2, 2], [3, 2], [4, 2], [6, 1], [12, 1], [20, 1]], 419/19906560], [[[1, 1], [2, 2], [3, 2], [4, 2], [6, 1], [12, 1], [24, 1]], 227/23887872], [[[1, 1], [2, 2], [3, 2], [4, 2], [6, 1], [12, 1], [30, 1]], 7/5971968], [[[1, 1], [2, 2], [3, 2], [4, 2], [6, 2], [7, 1], [12, 1]], 73/6967296], [[[1, 1], [2, 2], [3, 2], [4, 2], [6, 2], [9, 1], [12, 1]], 77/8957952], [[[1, 1], [2, 2], [3, 2], [4, 2], [6, 2], [12, 1], [14, 1]], 73/3483648], [[[1, 1], [2, 2], [3, 2], [4, 2], [6, 2], [12, 1], [18, 1]], 619/53747712], [[[1, 1], [2, 2], [3, 2], [4, 2], [6, 3], [8, 1], [12, 1]], 73/11943936], [[[1, 1], [2, 2], [3, 2], [4, 2], [6, 3], [10, 1], [12, 1]], 73/7464960], [[[1, 1], [2, 2], [3, 2], [4, 2], [8, 1], [9, 1], [12, 1]], 1/373248], [[[1, 1], [2, 2], [3, 2], [4, 3], [5, 1], [6, 2], [12, 1]], 73/9953280], [[[1, 1], [2, 2], [3, 2], [4, 3], [6, 1], [8, 1], [9, 1]], 1/124416], [[[1, 1], [2, 2], [3, 2], [4, 3], [6, 1], [9, 1], [12, 1]], 19/559872], [[[1, 1], [2, 2], [3, 2], [4, 3], [6, 1], [12, 1], [18, 1]], 1/23887872], [[[1, 1], [2, 2], [3, 2], [4, 3], [6, 2], [8, 1], [12, 1]], 827/31850496], [[[1, 1], [2, 2], [3, 2], [4, 3], [6, 2], [10, 1], [12, 1]], 73/9953280], [[[1, 1], [2, 2], [3, 2], [4, 4], [6, 1], [8, 1], [12, 1]], 1/1274019840], [[[1, 1], [2, 2], [3, 2], [4, 4], [6, 1], [10, 1], [12, 1]], 1/796262400], [[[1, 1], [2, 2], [3, 2], [5, 1], [6, 1], [9, 1], [18, 1]], 7/87480], [[[1, 1], [2, 2], [3, 2], [5, 1], [6, 2], [9, 1], [12, 1]], 1/1866240], [[[1, 1], [2, 2], [3, 2], [5, 2], [6, 1], [8, 1], [12, 1]], 1/16588800], [[[1, 1], [2, 2], [3, 2], [5, 2], [6, 1], [10, 1], [12, 1]], 1/10368000], [[[1, 1], [2, 2], [3, 2], [6, 1], [7, 1], [12, 1], [18, 1]], 1/870912], [[[1, 1], [2, 2], [3, 2], [6, 1], [8, 1], [9, 1], [18, 1]], 7/69984], [[[1, 1], [2, 2], [3, 2], [6, 1], [8, 1], [10, 2], [12, 1]], 1/16588800], [[[1, 1], [2, 2], [3, 2], [6, 1], [8, 1], [12, 1], [15, 1]], 1/829440], [[[1, 1], [2, 2], [3, 2], [6, 1], [8, 1], [12, 1], [20, 1]], 1/552960], [[[1, 1], [2, 2], [3, 2], [6, 1], [8, 1], [12, 1], [24, 1]], 1/663552], [[[1, 1], [2, 2], [3, 2], [6, 1], [8, 1], [12, 1], [30, 1]], 1/829440], [[[1, 1], [2, 2], [3, 2], [6, 1], [8, 2], [10, 1], [12, 1]], 1/3317760], [[[1, 1], [2, 2], [3, 2], [6, 1], [9, 1], [12, 1], [18, 1]], 113/1119744], [[[1, 1], [2, 2], [3, 2], [6, 1], [10, 1], [12, 1], [15, 1]], 1/518400], [[[1, 1], [2, 2], [3, 2], [6, 1], [10, 1], [12, 1], [20, 1]], 1/345600], [[[1, 1], [2, 2], [3, 2], [6, 1], [10, 1], [12, 1], [24, 1]], 1/414720], [[[1, 1], [2, 2], [3, 2], [6, 1], [10, 1], [12, 1], [30, 1]], 1/518400], [[[1, 1], [2, 2], [3, 2], [6, 1], [12, 1], [14, 1], [18, 1]], 1/435456], [[[1, 1], [2, 2], [3, 2], [6, 2], [8, 1], [9, 1], [12, 1]], 1/1492992], [[[1, 1], [2, 2], [3, 2], [6, 2], [8, 1], [12, 1], [18, 1]], 1/1492992], [[[1, 1], [2, 2], [3, 2], [6, 2], [10, 1], [12, 1], [18, 1]], 1/933120], [[[1, 1], [2, 2], [3, 3], [4, 1], [5, 1], [6, 2], [9, 1]], 1/7464960], [[[1, 1], [2, 2], [3, 3], [4, 1], [5, 1], [6, 3], [10, 1]], 1/414720], [[[1, 1], [2, 2], [3, 3], [4, 1], [5, 1], [9, 1], [12, 1]], 1/1244160], [[[1, 1], [2, 2], [3, 3], [4, 1], [5, 2], [6, 1], [12, 1]], 1/24883200], [[[1, 1], [2, 2], [3, 3], [4, 1], [6, 1], [8, 1], [12, 2]], 1/82944], [[[1, 1], [2, 2], [3, 3], [4, 1], [6, 1], [8, 2], [12, 1]], 1/7962624], [[[1, 1], [2, 2], [3, 3], [4, 1], [6, 1], [10, 2], [12, 1]], 1/24883200], [[[1, 1], [2, 2], [3, 3], [4, 1], [6, 1], [12, 1], [15, 1]], 1/1244160], [[[1, 1], [2, 2], [3, 3], [4, 1], [6, 1], [12, 1], [16, 1]], 1/55296], [[[1, 1], [2, 2], [3, 3], [4, 1], [6, 1], [12, 1], [20, 1]], 1/829440], [[[1, 1], [2, 2], [3, 3], [4, 1], [6, 1], [12, 1], [24, 1]], 19/995328], [[[1, 1], [2, 2], [3, 3], [4, 1], [6, 1], [12, 1], [30, 1]], 1/1244160], [[[1, 1], [2, 2], [3, 3], [4, 1], [6, 2], [8, 1], [9, 1]], 11/23887872], [[[1, 1], [2, 2], [3, 3], [4, 1], [6, 2], [9, 1], [10, 1]], 1/7464960], [[[1, 1], [2, 2], [3, 3], [4, 1], [6, 2], [9, 1], [12, 1]], 73/4478976], [[[1, 1], [2, 2], [3, 3], [4, 1], [6, 2], [12, 1], [18, 1]], 1/2239488], [[[1, 1], [2, 2], [3, 3], [4, 1], [6, 3], [8, 1], [12, 1]], 1/497664], [[[1, 1], [2, 2], [3, 3], [4, 1], [8, 1], [9, 1], [12, 1]], 11/3981312], [[[1, 1], [2, 2], [3, 3], [4, 1], [9, 1], [10, 1], [12, 1]], 1/1244160], [[[1, 1], [2, 2], [3, 3], [4, 2], [5, 1], [6, 2], [12, 1]], 73/14929920], [[[1, 1], [2, 2], [3, 3], [4, 2], [6, 1], [9, 1], [12, 1]], 35/53747712], [[[1, 1], [2, 2], [3, 3], [4, 2], [6, 1], [12, 1], [18, 1]], 1/20155392], [[[1, 1], [2, 2], [3, 3], [4, 2], [6, 2], [8, 1], [12, 1]], 73/11943936], [[[1, 1], [2, 2], [3, 3], [4, 3], [6, 1], [8, 1], [12, 1]], 1/663552], [[[1, 1], [2, 2], [3, 3], [5, 1], [6, 1], [12, 1], [18, 1]], 1/1866240], [[[1, 1], [2, 2], [3, 3], [6, 1], [8, 1], [9, 1], [12, 1]], 1/1492992], [[[1, 1], [2, 2], [3, 3], [6, 1], [8, 1], [12, 1], [18, 1]], 1/1492992], [[[1, 1], [2, 2], [3, 3], [6, 1], [9, 1], [10, 1], [12, 1]], 1/933120], [[[1, 1], [2, 2], [3, 4], [4, 1], [5, 1], [6, 1], [18, 1]], 1/671846400], [[[1, 1], [2, 2], [3, 4], [4, 1], [5, 1], [6, 2], [12, 1]], 91/3583180800], [[[1, 1], [2, 2], [3, 4], [4, 1], [5, 1], [8, 1], [10, 1]], 1/24883200], [[[1, 1], [2, 2], [3, 4], [4, 1], [6, 1], [8, 1], [18, 1]], 11/2149908480], [[[1, 1], [2, 2], [3, 4], [4, 1], [6, 1], [9, 1], [12, 1]], 1/2239488], [[[1, 1], [2, 2], [3, 4], [4, 1], [6, 1], [10, 1], [18, 1]], 1/671846400], [[[1, 1], [2, 2], [3, 4], [4, 1], [6, 1], [12, 1], [18, 1]], 1/403107840], [[[1, 1], [2, 2], [3, 4], [4, 1], [6, 2], [8, 1], [12, 1]], 1001/11466178560], [[[1, 1], [2, 2], [3, 4], [4, 1], [6, 2], [10, 1], [12, 1]], 91/3583180800], [[[1, 1], [2, 2], [3, 4], [4, 2], [6, 1], [8, 1], [12, 1]], 1/1074954240], [[[1, 1], [2, 2], [3, 4], [4, 2], [6, 1], [10, 1], [12, 1]], 1/671846400], [[[1, 1], [2, 2], [3, 5], [4, 1], [5, 1], [6, 1], [10, 1]], 1/37324800], [[[1, 1], [2, 2], [3, 5], [4, 1], [6, 1], [8, 1], [12, 1]], 1/44789760], [[[1, 1], [2, 2], [4, 1], [5, 1], [6, 1], [8, 2], [18, 1]], 1/829440], [[[1, 1], [2, 2], [4, 1], [5, 1], [6, 1], [10, 2], [18, 1]], 1/2592000], [[[1, 1], [2, 2], [4, 1], [5, 1], [6, 1], [12, 2], [18, 1]], 1/1244160], [[[1, 1], [2, 2], [4, 1], [5, 1], [6, 1], [15, 1], [18, 1]], 1/129600], [[[1, 1], [2, 2], [4, 1], [5, 1], [6, 1], [18, 1], [20, 1]], 1/86400], [[[1, 1], [2, 2], [4, 1], [5, 1], [6, 1], [18, 1], [24, 1]], 1/103680], [[[1, 1], [2, 2], [4, 1], [5, 1], [6, 1], [18, 1], [30, 1]], 1/129600], [[[1, 1], [2, 2], [4, 1], [5, 1], [6, 2], [8, 2], [12, 1]], 1/4423680], [[[1, 1], [2, 2], [4, 1], [5, 1], [6, 2], [10, 2], [12, 1]], 1/13824000], [[[1, 1], [2, 2], [4, 1], [5, 1], [6, 2], [12, 1], [15, 1]], 1/691200], [[[1, 1], [2, 2], [4, 1], [5, 1], [6, 2], [12, 1], [20, 1]], 1/460800], [[[1, 1], [2, 2], [4, 1], [5, 1], [6, 2], [12, 1], [24, 1]], 1/552960], [[[1, 1], [2, 2], [4, 1], [5, 1], [6, 2], [12, 1], [30, 1]], 1/691200], [[[1, 1], [2, 2], [4, 1], [5, 1], [6, 3], [12, 1], [18, 1]], 1/1244160], [[[1, 1], [2, 2], [4, 1], [5, 1], [6, 4], [8, 1], [10, 1]], 1/24883200], [[[1, 1], [2, 2], [4, 1], [5, 1], [8, 1], [10, 1], [12, 2]], 1/46080], [[[1, 1], [2, 2], [4, 1], [5, 1], [8, 1], [10, 1], [15, 1]], 1/4800], [[[1, 1], [2, 2], [4, 1], [5, 1], [8, 1], [10, 1], [20, 1]], 1/3200], [[[1, 1], [2, 2], [4, 1], [5, 1], [8, 1], [10, 1], [24, 1]], 1/3840], [[[1, 1], [2, 2], [4, 1], [5, 1], [8, 1], [10, 1], [30, 1]], 1/4800], [[[1, 1], [2, 2], [4, 1], [5, 2], [6, 1], [8, 1], [18, 1]], 11/8294400], [[[1, 1], [2, 2], [4, 1], [5, 2], [6, 1], [10, 1], [18, 1]], 1/2592000], [[[1, 1], [2, 2], [4, 1], [5, 2], [6, 1], [12, 1], [18, 1]], 1/1555200], [[[1, 1], [2, 2], [4, 1], [5, 2], [6, 2], [8, 1], [12, 1]], 11/44236800], [[[1, 1], [2, 2], [4, 1], [5, 2], [6, 2], [10, 1], [12, 1]], 1/13824000], [[[1, 1], [2, 2], [4, 1], [6, 1], [7, 1], [14, 1], [18, 1]], 1/6048], [[[1, 1], [2, 2], [4, 1], [6, 1], [8, 1], [10, 2], [18, 1]], 11/8294400], [[[1, 1], [2, 2], [4, 1], [6, 1], [8, 1], [12, 2], [18, 1]], 11/3981312], [[[1, 1], [2, 2], [4, 1], [6, 1], [8, 1], [15, 1], [18, 1]], 11/414720], [[[1, 1], [2, 2], [4, 1], [6, 1], [8, 1], [16, 1], [18, 1]], 5/13824], [[[1, 1], [2, 2], [4, 1], [6, 1], [8, 1], [18, 1], [20, 1]], 43/276480], [[[1, 1], [2, 2], [4, 1], [6, 1], [8, 1], [18, 1], [24, 1]], 25/110592], [[[1, 1], [2, 2], [4, 1], [6, 1], [8, 1], [18, 1], [30, 1]], 11/414720], [[[1, 1], [2, 2], [4, 1], [6, 1], [8, 2], [10, 1], [18, 1]], 1/829440], [[[1, 1], [2, 2], [4, 1], [6, 1], [8, 2], [12, 1], [18, 1]], 1/497664], [[[1, 1], [2, 2], [4, 1], [6, 1], [10, 1], [12, 2], [18, 1]], 1/1244160], [[[1, 1], [2, 2], [4, 1], [6, 1], [10, 1], [15, 1], [18, 1]], 1/129600], [[[1, 1], [2, 2], [4, 1], [6, 1], [10, 1], [18, 1], [20, 1]], 1/86400], [[[1, 1], [2, 2], [4, 1], [6, 1], [10, 1], [18, 1], [24, 1]], 1/103680], [[[1, 1], [2, 2], [4, 1], [6, 1], [10, 1], [18, 1], [30, 1]], 1/129600], [[[1, 1], [2, 2], [4, 1], [6, 1], [10, 2], [12, 1], [18, 1]], 1/1555200], [[[1, 1], [2, 2], [4, 1], [6, 1], [12, 1], [15, 1], [18, 1]], 1/77760], [[[1, 1], [2, 2], [4, 1], [6, 1], [12, 1], [16, 1], [18, 1]], 1/10368], [[[1, 1], [2, 2], [4, 1], [6, 1], [12, 1], [18, 1], [20, 1]], 1/10368], [[[1, 1], [2, 2], [4, 1], [6, 1], [12, 1], [18, 1], [24, 1]], 7/62208], [[[1, 1], [2, 2], [4, 1], [6, 1], [12, 1], [18, 1], [30, 1]], 1/77760], [[[1, 1], [2, 2], [4, 1], [6, 2], [7, 1], [12, 1], [14, 1]], 1/32256], [[[1, 1], [2, 2], [4, 1], [6, 2], [8, 1], [10, 2], [12, 1]], 11/44236800], [[[1, 1], [2, 2], [4, 1], [6, 2], [8, 1], [12, 1], [15, 1]], 11/2211840], [[[1, 1], [2, 2], [4, 1], [6, 2], [8, 1], [12, 1], [16, 1]], 5/73728], [[[1, 1], [2, 2], [4, 1], [6, 2], [8, 1], [12, 1], [20, 1]], 43/1474560], [[[1, 1], [2, 2], [4, 1], [6, 2], [8, 1], [12, 1], [24, 1]], 793/589824], [[[1, 1], [2, 2], [4, 1], [6, 2], [8, 1], [12, 1], [30, 1]], 11/2211840], [[[1, 1], [2, 2], [4, 1], [6, 2], [8, 2], [10, 1], [12, 1]], 1/4423680], [[[1, 1], [2, 2], [4, 1], [6, 2], [9, 1], [12, 1], [18, 1]], 1/41472], [[[1, 1], [2, 2], [4, 1], [6, 2], [10, 1], [12, 1], [15, 1]], 1/691200], [[[1, 1], [2, 2], [4, 1], [6, 2], [10, 1], [12, 1], [20, 1]], 1/460800], [[[1, 1], [2, 2], [4, 1], [6, 2], [10, 1], [12, 1], [24, 1]], 1/552960], [[[1, 1], [2, 2], [4, 1], [6, 2], [10, 1], [12, 1], [30, 1]], 1/691200], [[[1, 1], [2, 2], [4, 1], [6, 3], [8, 1], [12, 1], [18, 1]], 11/3981312], [[[1, 1], [2, 2], [4, 1], [6, 3], [10, 1], [12, 1], [18, 1]], 1/1244160], [[[1, 1], [2, 2], [4, 2], [5, 2], [6, 1], [8, 1], [12, 1]], 1/4147200], [[[1, 1], [2, 2], [4, 2], [5, 2], [6, 1], [10, 1], [12, 1]], 1/2592000], [[[1, 1], [2, 2], [4, 2], [6, 1], [7, 1], [12, 1], [18, 1]], 1/217728], [[[1, 1], [2, 2], [4, 2], [6, 1], [8, 1], [10, 1], [16, 1]], 1/15360], [[[1, 1], [2, 2], [4, 2], [6, 1], [8, 1], [10, 2], [12, 1]], 1/4147200], [[[1, 1], [2, 2], [4, 2], [6, 1], [8, 1], [12, 1], [15, 1]], 1/207360], [[[1, 1], [2, 2], [4, 2], [6, 1], [8, 1], [12, 1], [16, 1]], 1/18432], [[[1, 1], [2, 2], [4, 2], [6, 1], [8, 1], [12, 1], [20, 1]], 13/138240], [[[1, 1], [2, 2], [4, 2], [6, 1], [8, 1], [12, 1], [24, 1]], 7/165888], [[[1, 1], [2, 2], [4, 2], [6, 1], [8, 1], [12, 1], [30, 1]], 1/207360], [[[1, 1], [2, 2], [4, 2], [6, 1], [8, 2], [10, 1], [12, 1]], 13/829440], [[[1, 1], [2, 2], [4, 2], [6, 1], [9, 1], [12, 1], [18, 1]], 1/279936], [[[1, 1], [2, 2], [4, 2], [6, 1], [10, 1], [12, 1], [15, 1]], 1/129600], [[[1, 1], [2, 2], [4, 2], [6, 1], [10, 1], [12, 1], [20, 1]], 13/86400], [[[1, 1], [2, 2], [4, 2], [6, 1], [10, 1], [12, 1], [24, 1]], 7/103680], [[[1, 1], [2, 2], [4, 2], [6, 1], [10, 1], [12, 1], [30, 1]], 1/129600], [[[1, 1], [2, 2], [4, 2], [6, 1], [12, 1], [14, 1], [18, 1]], 1/108864], [[[1, 1], [2, 2], [4, 2], [6, 2], [8, 1], [12, 1], [18, 1]], 1/373248], [[[1, 1], [2, 2], [4, 2], [6, 2], [10, 1], [12, 1], [18, 1]], 1/233280], [[[1, 1], [2, 2], [4, 3], [5, 1], [6, 1], [12, 1], [18, 1]], 1/311040], [[[1, 1], [2, 2], [4, 3], [5, 1], [8, 1], [10, 1], [12, 1]], 1/11520], [[[1, 1], [2, 2], [4, 3], [6, 1], [8, 1], [12, 1], [18, 1]], 35/995328], [[[1, 1], [2, 2], [4, 3], [6, 1], [10, 1], [12, 1], [18, 1]], 1/311040], [[[1, 1], [2, 4], [3, 1], [4, 1], [5, 1], [6, 2], [10, 2]], 1/14400], [[[1, 1], [2, 4], [3, 1], [4, 1], [5, 1], [6, 3], [9, 1]], 1/33592320], [[[1, 1], [2, 4], [3, 1], [4, 1], [5, 1], [6, 4], [8, 1]], 1/2388787200], [[[1, 1], [2, 4], [3, 1], [4, 1], [5, 1], [6, 4], [10, 1]], 1/1866240], [[[1, 1], [2, 4], [3, 1], [4, 1], [5, 1], [8, 1], [10, 2]], 1/9216000], [[[1, 1], [2, 4], [3, 1], [4, 1], [5, 1], [8, 1], [12, 2]], 1/4423680], [[[1, 1], [2, 4], [3, 1], [4, 1], [5, 1], [8, 1], [15, 1]], 1/460800], [[[1, 1], [2, 4], [3, 1], [4, 1], [5, 1], [8, 1], [20, 1]], 1/307200], [[[1, 1], [2, 4], [3, 1], [4, 1], [5, 1], [8, 1], [24, 1]], 1/368640], [[[1, 1], [2, 4], [3, 1], [4, 1], [5, 1], [8, 1], [30, 1]], 1/460800], [[[1, 1], [2, 4], [3, 1], [4, 1], [5, 1], [9, 1], [14, 1]], 1/120960], [[[1, 1], [2, 4], [3, 1], [4, 1], [5, 1], [9, 1], [18, 1]], 1/466560], [[[1, 1], [2, 4], [3, 1], [4, 1], [5, 2], [6, 1], [9, 1]], 1/12441600], [[[1, 1], [2, 4], [3, 1], [4, 1], [5, 2], [6, 1], [14, 1]], 1/2419200], [[[1, 1], [2, 4], [3, 1], [4, 1], [5, 2], [6, 1], [18, 1]], 1/7464960], [[[1, 1], [2, 4], [3, 1], [4, 1], [5, 2], [6, 2], [8, 1]], 1/44236800], [[[1, 1], [2, 4], [3, 1], [4, 1], [5, 2], [6, 2], [10, 1]], 1/5184000], [[[1, 1], [2, 4], [3, 1], [4, 1], [5, 2], [6, 2], [12, 1]], 17/199065600], [[[1, 1], [2, 4], [3, 1], [4, 1], [5, 2], [8, 1], [12, 1]], 1/7372800], [[[1, 1], [2, 4], [3, 1], [4, 1], [6, 1], [8, 2], [9, 1]], 7/3981312], [[[1, 1], [2, 4], [3, 1], [4, 1], [6, 1], [8, 2], [14, 1]], 1/774144], [[[1, 1], [2, 4], [3, 1], [4, 1], [6, 1], [8, 2], [18, 1]], 23/11943936], [[[1, 1], [2, 4], [3, 1], [4, 1], [6, 1], [9, 1], [10, 2]], 49/12441600], [[[1, 1], [2, 4], [3, 1], [4, 1], [6, 1], [9, 1], [12, 2]], 17/5971968], [[[1, 1], [2, 4], [3, 1], [4, 1], [6, 1], [9, 1], [15, 1]], 1/622080], [[[1, 1], [2, 4], [3, 1], [4, 1], [6, 1], [9, 1], [20, 1]], 1/414720], [[[1, 1], [2, 4], [3, 1], [4, 1], [6, 1], [9, 1], [24, 1]], 1/497664], [[[1, 1], [2, 4], [3, 1], [4, 1], [6, 1], [9, 1], [30, 1]], 1/622080], [[[1, 1], [2, 4], [3, 1], [4, 1], [6, 1], [10, 2], [14, 1]], 1/2419200], [[[1, 1], [2, 4], [3, 1], [4, 1], [6, 1], [10, 2], [18, 1]], 1/7464960], [[[1, 1], [2, 4], [3, 1], [4, 1], [6, 1], [12, 2], [14, 1]], 37/1161216], [[[1, 1], [2, 4], [3, 1], [4, 1], [6, 1], [12, 2], [18, 1]], 149/17915904], [[[1, 1], [2, 4], [3, 1], [4, 1], [6, 1], [14, 1], [15, 1]], 1/120960], [[[1, 1], [2, 4], [3, 1], [4, 1], [6, 1], [14, 1], [16, 1]], 1/5376], [[[1, 1], [2, 4], [3, 1], [4, 1], [6, 1], [14, 1], [20, 1]], 1/80640], [[[1, 1], [2, 4], [3, 1], [4, 1], [6, 1], [14, 1], [24, 1]], 19/96768], [[[1, 1], [2, 4], [3, 1], [4, 1], [6, 1], [14, 1], [30, 1]], 1/120960], [[[1, 1], [2, 4], [3, 1], [4, 1], [6, 1], [15, 1], [18, 1]], 1/373248], [[[1, 1], [2, 4], [3, 1], [4, 1], [6, 1], [16, 1], [18, 1]], 1/20736], [[[1, 1], [2, 4], [3, 1], [4, 1], [6, 1], [18, 1], [20, 1]], 1/248832], [[[1, 1], [2, 4], [3, 1], [4, 1], [6, 1], [18, 1], [24, 1]], 77/1492992], [[[1, 1], [2, 4], [3, 1], [4, 1], [6, 1], [18, 1], [30, 1]], 1/373248], [[[1, 1], [2, 4], [3, 1], [4, 1], [6, 2], [8, 1], [10, 2]], 1/44236800], [[[1, 1], [2, 4], [3, 1], [4, 1], [6, 2], [8, 1], [12, 2]], 173/7077888], [[[1, 1], [2, 4], [3, 1], [4, 1], [6, 2], [8, 1], [15, 1]], 1/2211840], [[[1, 1], [2, 4], [3, 1], [4, 1], [6, 2], [8, 1], [20, 1]], 1/1474560], [[[1, 1], [2, 4], [3, 1], [4, 1], [6, 2], [8, 1], [24, 1]], 1/1769472], [[[1, 1], [2, 4], [3, 1], [4, 1], [6, 2], [8, 1], [30, 1]], 1/2211840], [[[1, 1], [2, 4], [3, 1], [4, 1], [6, 2], [8, 2], [10, 1]], 1/1658880], [[[1, 1], [2, 4], [3, 1], [4, 1], [6, 2], [8, 2], [12, 1]], 35/63700992], [[[1, 1], [2, 4], [3, 1], [4, 1], [6, 2], [9, 1], [18, 1]], 7/279936], [[[1, 1], [2, 4], [3, 1], [4, 1], [6, 2], [10, 1], [12, 2]], 37/2488320], [[[1, 1], [2, 4], [3, 1], [4, 1], [6, 2], [10, 1], [15, 1]], 1/259200], [[[1, 1], [2, 4], [3, 1], [4, 1], [6, 2], [10, 1], [16, 1]], 1/11520], [[[1, 1], [2, 4], [3, 1], [4, 1], [6, 2], [10, 1], [20, 1]], 1/172800], [[[1, 1], [2, 4], [3, 1], [4, 1], [6, 2], [10, 1], [24, 1]], 19/207360], [[[1, 1], [2, 4], [3, 1], [4, 1], [6, 2], [10, 1], [30, 1]], 1/259200], [[[1, 1], [2, 4], [3, 1], [4, 1], [6, 2], [10, 2], [12, 1]], 17/199065600], [[[1, 1], [2, 4], [3, 1], [4, 1], [6, 2], [12, 1], [15, 1]], 17/9953280], [[[1, 1], [2, 4], [3, 1], [4, 1], [6, 2], [12, 1], [16, 1]], 1/27648], [[[1, 1], [2, 4], [3, 1], [4, 1], [6, 2], [12, 1], [20, 1]], 17/6635520], [[[1, 1], [2, 4], [3, 1], [4, 1], [6, 2], [12, 1], [24, 1]], 305/7962624], [[[1, 1], [2, 4], [3, 1], [4, 1], [6, 2], [12, 1], [30, 1]], 17/9953280], [[[1, 1], [2, 4], [3, 1], [4, 1], [6, 2], [14, 1], [18, 1]], 1/217728], [[[1, 1], [2, 4], [3, 1], [4, 1], [6, 3], [8, 1], [9, 1]], 7/53747712], [[[1, 1], [2, 4], [3, 1], [4, 1], [6, 3], [8, 1], [18, 1]], 1/3981312], [[[1, 1], [2, 4], [3, 1], [4, 1], [6, 3], [9, 1], [10, 1]], 1/33592320], [[[1, 1], [2, 4], [3, 1], [4, 1], [6, 3], [9, 1], [12, 1]], 46691/161243136], [[[1, 1], [2, 4], [3, 1], [4, 1], [6, 3], [10, 1], [18, 1]], 1/466560], [[[1, 1], [2, 4], [3, 1], [4, 1], [6, 3], [12, 1], [14, 1]], 1/1161216], [[[1, 1], [2, 4], [3, 1], [4, 1], [6, 3], [12, 1], [18, 1]], 5191/5971968], [[[1, 1], [2, 4], [3, 1], [4, 1], [6, 4], [8, 1], [12, 1]], 2833/5733089280], [[[1, 1], [2, 4], [3, 1], [4, 1], [6, 4], [10, 1], [12, 1]], 1/2488320], [[[1, 1], [2, 4], [3, 1], [4, 1], [7, 1], [8, 1], [9, 1]], 1/387072], [[[1, 1], [2, 4], [3, 1], [4, 1], [8, 1], [9, 1], [14, 1]], 1/32256], [[[1, 1], [2, 4], [3, 1], [4, 1], [8, 1], [9, 1], [18, 1]], 7/746496], [[[1, 1], [2, 4], [3, 1], [4, 1], [8, 1], [10, 2], [12, 1]], 1/7372800], [[[1, 1], [2, 4], [3, 1], [4, 1], [8, 1], [12, 1], [15, 1]], 1/368640], [[[1, 1], [2, 4], [3, 1], [4, 1], [8, 1], [12, 1], [20, 1]], 1/245760], [[[1, 1], [2, 4], [3, 1], [4, 1], [8, 1], [12, 1], [24, 1]], 1/294912], [[[1, 1], [2, 4], [3, 1], [4, 1], [8, 1], [12, 1], [30, 1]], 1/368640], [[[1, 1], [2, 4], [3, 1], [4, 1], [9, 1], [10, 1], [14, 1]], 1/120960], [[[1, 1], [2, 4], [3, 1], [4, 1], [9, 1], [10, 1], [18, 1]], 1/466560], [[[1, 1], [2, 4], [3, 1], [4, 1], [9, 1], [12, 1], [14, 1]], 1/72576], [[[1, 1], [2, 4], [3, 1], [4, 1], [9, 1], [12, 1], [18, 1]], 1/279936], [[[1, 1], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1], [8, 2]], 1/13271040], [[[1, 1], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1], [10, 2]], 1/41472000], [[[1, 1], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1], [12, 2]], 17/19906560], [[[1, 1], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1], [15, 1]], 1/2073600], [[[1, 1], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1], [20, 1]], 1/1382400], [[[1, 1], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1], [24, 1]], 1/1658880], [[[1, 1], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1], [30, 1]], 1/2073600], [[[1, 1], [2, 4], [3, 1], [4, 2], [5, 1], [6, 2], [18, 1]], 1/3732480], [[[1, 1], [2, 4], [3, 1], [4, 2], [5, 1], [6, 3], [12, 1]], 7/107495424], [[[1, 1], [2, 4], [3, 1], [4, 2], [5, 1], [8, 1], [9, 1]], 1/552960], [[[1, 1], [2, 4], [3, 1], [4, 2], [5, 1], [12, 1], [14, 1]], 1/241920], [[[1, 1], [2, 4], [3, 1], [4, 2], [5, 1], [12, 1], [18, 1]], 1/933120], [[[1, 1], [2, 4], [3, 1], [4, 2], [5, 2], [6, 1], [8, 1]], 1/8294400], [[[1, 1], [2, 4], [3, 1], [4, 2], [5, 2], [6, 1], [12, 1]], 11/99532800], [[[1, 1], [2, 4], [3, 1], [4, 2], [6, 1], [7, 1], [9, 1]], 1/1741824], [[[1, 1], [2, 4], [3, 1], [4, 2], [6, 1], [8, 1], [10, 2]], 1/8294400], [[[1, 1], [2, 4], [3, 1], [4, 2], [6, 1], [8, 1], [12, 2]], 1/124416], [[[1, 1], [2, 4], [3, 1], [4, 2], [6, 1], [8, 1], [15, 1]], 1/414720], [[[1, 1], [2, 4], [3, 1], [4, 2], [6, 1], [8, 1], [16, 1]], 1/18432], [[[1, 1], [2, 4], [3, 1], [4, 2], [6, 1], [8, 1], [20, 1]], 1/276480], [[[1, 1], [2, 4], [3, 1], [4, 2], [6, 1], [8, 1], [24, 1]], 29/663552], [[[1, 1], [2, 4], [3, 1], [4, 2], [6, 1], [8, 1], [30, 1]], 1/414720], [[[1, 1], [2, 4], [3, 1], [4, 2], [6, 1], [8, 2], [12, 1]], 971/31850496], [[[1, 1], [2, 4], [3, 1], [4, 2], [6, 1], [9, 1], [14, 1]], 1/870912], [[[1, 1], [2, 4], [3, 1], [4, 2], [6, 1], [9, 1], [18, 1]], 107/26873856], [[[1, 1], [2, 4], [3, 1], [4, 2], [6, 1], [10, 1], [12, 2]], 1/414720], [[[1, 1], [2, 4], [3, 1], [4, 2], [6, 1], [10, 2], [12, 1]], 11/99532800], [[[1, 1], [2, 4], [3, 1], [4, 2], [6, 1], [12, 1], [15, 1]], 11/4976640], [[[1, 1], [2, 4], [3, 1], [4, 2], [6, 1], [12, 1], [20, 1]], 107/3317760], [[[1, 1], [2, 4], [3, 1], [4, 2], [6, 1], [12, 1], [24, 1]], 59/3981312], [[[1, 1], [2, 4], [3, 1], [4, 2], [6, 1], [12, 1], [30, 1]], 11/4976640], [[[1, 1], [2, 4], [3, 1], [4, 2], [6, 2], [8, 1], [9, 1]], 1/2985984], [[[1, 1], [2, 4], [3, 1], [4, 2], [6, 2], [8, 1], [18, 1]], 1/746496], [[[1, 1], [2, 4], [3, 1], [4, 2], [6, 2], [9, 1], [10, 1]], 1/1866240], [[[1, 1], [2, 4], [3, 1], [4, 2], [6, 2], [9, 1], [12, 1]], 4213/5159780352], [[[1, 1], [2, 4], [3, 1], [4, 2], [6, 2], [12, 1], [14, 1]], 1/1161216], [[[1, 1], [2, 4], [3, 1], [4, 2], [6, 2], [12, 1], [18, 1]], 13/8957952], [[[1, 1], [2, 4], [3, 1], [4, 2], [6, 3], [8, 1], [12, 1]], 29/107495424], [[[1, 1], [2, 4], [3, 1], [4, 2], [6, 3], [10, 1], [12, 1]], 1/2488320], [[[1, 1], [2, 4], [3, 1], [4, 2], [8, 1], [9, 1], [10, 1]], 1/552960], [[[1, 1], [2, 4], [3, 1], [4, 2], [8, 1], [9, 1], [12, 1]], 5/1492992], [[[1, 1], [2, 4], [3, 1], [4, 2], [8, 1], [12, 1], [14, 1]], 1/193536], [[[1, 1], [2, 4], [3, 1], [4, 2], [8, 1], [12, 1], [18, 1]], 1/746496], [[[1, 1], [2, 4], [3, 1], [4, 2], [9, 1], [10, 1], [12, 1]], 11/9331200], [[[1, 1], [2, 4], [3, 1], [4, 3], [5, 1], [6, 1], [9, 1]], 1/2488320], [[[1, 1], [2, 4], [3, 1], [4, 3], [5, 1], [6, 2], [10, 1]], 1/138240], [[[1, 1], [2, 4], [3, 1], [4, 3], [5, 1], [8, 1], [12, 1]], 1/1105920], [[[1, 1], [2, 4], [3, 1], [4, 3], [6, 1], [8, 1], [9, 1]], 11/7962624], [[[1, 1], [2, 4], [3, 1], [4, 3], [6, 1], [8, 1], [14, 1]], 1/64512], [[[1, 1], [2, 4], [3, 1], [4, 3], [6, 1], [8, 1], [18, 1]], 1/248832], [[[1, 1], [2, 4], [3, 1], [4, 3], [6, 1], [9, 1], [10, 1]], 1/1658880], [[[1, 1], [2, 4], [3, 1], [4, 3], [6, 1], [9, 1], [12, 1]], 17/11943936], [[[1, 1], [2, 4], [3, 1], [4, 3], [6, 1], [12, 1], [14, 1]], 19/290304], [[[1, 1], [2, 4], [3, 1], [4, 3], [6, 1], [12, 1], [18, 1]], 77/4478976], [[[1, 1], [2, 4], [3, 1], [4, 3], [6, 2], [8, 1], [10, 1]], 1/138240], [[[1, 1], [2, 4], [3, 1], [4, 3], [6, 2], [8, 1], [12, 1]], 49/5308416], [[[1, 1], [2, 4], [3, 1], [4, 3], [6, 2], [10, 1], [12, 1]], 19/622080], [[[1, 1], [2, 4], [3, 1], [4, 4], [5, 1], [6, 1], [10, 1]], 1/331776000], [[[1, 1], [2, 4], [3, 1], [4, 4], [5, 1], [6, 1], [12, 1]], 161/796262400], [[[1, 1], [2, 4], [3, 1], [4, 4], [6, 1], [8, 1], [10, 1]], 1/265420800], [[[1, 1], [2, 4], [3, 1], [4, 4], [6, 1], [8, 1], [12, 1]], 9281/637009920], [[[1, 1], [2, 4], [3, 1], [4, 4], [6, 1], [10, 1], [12, 1]], 1/265420800], [[[1, 1], [2, 4], [3, 1], [5, 1], [6, 1], [8, 2], [10, 1]], 1/1382400], [[[1, 1], [2, 4], [3, 1], [5, 1], [6, 1], [8, 2], [12, 1]], 1/3317760], [[[1, 1], [2, 4], [3, 1], [5, 1], [6, 1], [10, 1], [12, 2]], 1/2073600], [[[1, 1], [2, 4], [3, 1], [5, 1], [6, 1], [10, 1], [15, 1]], 1/216000], [[[1, 1], [2, 4], [3, 1], [5, 1], [6, 1], [10, 1], [20, 1]], 1/144000], [[[1, 1], [2, 4], [3, 1], [5, 1], [6, 1], [10, 1], [24, 1]], 1/172800], [[[1, 1], [2, 4], [3, 1], [5, 1], [6, 1], [10, 1], [30, 1]], 1/216000], [[[1, 1], [2, 4], [3, 1], [5, 1], [6, 1], [10, 2], [12, 1]], 1/10368000], [[[1, 1], [2, 4], [3, 1], [5, 1], [6, 1], [12, 1], [15, 1]], 1/518400], [[[1, 1], [2, 4], [3, 1], [5, 1], [6, 1], [12, 1], [20, 1]], 1/345600], [[[1, 1], [2, 4], [3, 1], [5, 1], [6, 1], [12, 1], [24, 1]], 1/414720], [[[1, 1], [2, 4], [3, 1], [5, 1], [6, 1], [12, 1], [30, 1]], 1/518400], [[[1, 1], [2, 4], [3, 1], [5, 1], [6, 1], [14, 1], [18, 1]], 1/181440], [[[1, 1], [2, 4], [3, 1], [5, 1], [6, 2], [10, 1], [18, 1]], 1/388800], [[[1, 1], [2, 4], [3, 1], [5, 1], [6, 2], [12, 1], [14, 1]], 1/967680], [[[1, 1], [2, 4], [3, 1], [5, 1], [6, 2], [12, 1], [18, 1]], 1/746496], [[[1, 1], [2, 4], [3, 1], [5, 1], [6, 3], [10, 1], [12, 1]], 1/2073600], [[[1, 1], [2, 4], [3, 1], [5, 2], [6, 1], [8, 1], [10, 1]], 1/3456000], [[[1, 1], [2, 4], [3, 1], [5, 2], [6, 1], [8, 1], [12, 1]], 1/8294400], [[[1, 1], [2, 4], [3, 1], [5, 2], [6, 1], [10, 1], [12, 1]], 1/3456000], [[[1, 1], [2, 4], [3, 1], [6, 1], [7, 1], [9, 1], [10, 1]], 1/181440], [[[1, 1], [2, 4], [3, 1], [6, 1], [7, 1], [9, 1], [12, 1]], 1/435456], [[[1, 1], [2, 4], [3, 1], [6, 1], [8, 1], [9, 1], [14, 1]], 1/145152], [[[1, 1], [2, 4], [3, 1], [6, 1], [8, 1], [9, 1], [18, 1]], 1/69984], [[[1, 1], [2, 4], [3, 1], [6, 1], [8, 1], [10, 1], [12, 2]], 1/1658880], [[[1, 1], [2, 4], [3, 1], [6, 1], [8, 1], [10, 1], [15, 1]], 1/172800], [[[1, 1], [2, 4], [3, 1], [6, 1], [8, 1], [10, 1], [20, 1]], 1/115200], [[[1, 1], [2, 4], [3, 1], [6, 1], [8, 1], [10, 1], [24, 1]], 1/138240], [[[1, 1], [2, 4], [3, 1], [6, 1], [8, 1], [10, 1], [30, 1]], 1/172800], [[[1, 1], [2, 4], [3, 1], [6, 1], [8, 1], [10, 2], [12, 1]], 1/8294400], [[[1, 1], [2, 4], [3, 1], [6, 1], [8, 1], [12, 1], [15, 1]], 1/414720], [[[1, 1], [2, 4], [3, 1], [6, 1], [8, 1], [12, 1], [20, 1]], 1/276480], [[[1, 1], [2, 4], [3, 1], [6, 1], [8, 1], [12, 1], [24, 1]], 1/331776], [[[1, 1], [2, 4], [3, 1], [6, 1], [8, 1], [12, 1], [30, 1]], 1/414720], [[[1, 1], [2, 4], [3, 1], [6, 1], [8, 1], [14, 1], [18, 1]], 1/145152], [[[1, 1], [2, 4], [3, 1], [6, 1], [8, 2], [10, 1], [12, 1]], 1/1105920], [[[1, 1], [2, 4], [3, 1], [6, 1], [9, 1], [10, 1], [14, 1]], 1/60480], [[[1, 1], [2, 4], [3, 1], [6, 1], [9, 1], [10, 1], [18, 1]], 179/3499200], [[[1, 1], [2, 4], [3, 1], [6, 1], [9, 1], [12, 1], [14, 1]], 5/435456], [[[1, 1], [2, 4], [3, 1], [6, 1], [9, 1], [12, 1], [18, 1]], 7/1679616], [[[1, 1], [2, 4], [3, 1], [6, 1], [10, 1], [12, 1], [15, 1]], 1/172800], [[[1, 1], [2, 4], [3, 1], [6, 1], [10, 1], [12, 1], [20, 1]], 1/115200], [[[1, 1], [2, 4], [3, 1], [6, 1], [10, 1], [12, 1], [24, 1]], 1/138240], [[[1, 1], [2, 4], [3, 1], [6, 1], [10, 1], [12, 1], [30, 1]], 1/172800], [[[1, 1], [2, 4], [3, 1], [6, 1], [12, 1], [14, 1], [18, 1]], 1/145152], [[[1, 1], [2, 4], [3, 1], [6, 2], [8, 1], [9, 1], [10, 1]], 1/311040], [[[1, 1], [2, 4], [3, 1], [6, 2], [8, 1], [9, 1], [12, 1]], 17/11943936], [[[1, 1], [2, 4], [3, 1], [6, 2], [8, 1], [10, 1], [18, 1]], 1/311040], [[[1, 1], [2, 4], [3, 1], [6, 2], [8, 1], [12, 1], [14, 1]], 1/774144], [[[1, 1], [2, 4], [3, 1], [6, 2], [8, 1], [12, 1], [18, 1]], 5/2985984], [[[1, 1], [2, 4], [3, 1], [6, 2], [9, 1], [10, 1], [12, 1]], 211/37324800], [[[1, 1], [2, 4], [3, 1], [6, 2], [10, 1], [12, 1], [18, 1]], 1/311040], [[[1, 1], [2, 4], [3, 1], [6, 3], [8, 1], [10, 1], [12, 1]], 1/1658880], [[[1, 1], [2, 4], [3, 2], [4, 1], [5, 1], [6, 1], [8, 2]], 1/13271040], [[[1, 1], [2, 4], [3, 2], [4, 1], [5, 1], [6, 1], [10, 2]], 1/41472000], [[[1, 1], [2, 4], [3, 2], [4, 1], [5, 1], [6, 1], [12, 2]], 7/19906560], [[[1, 1], [2, 4], [3, 2], [4, 1], [5, 1], [6, 1], [15, 1]], 1/2073600], [[[1, 1], [2, 4], [3, 2], [4, 1], [5, 1], [6, 1], [20, 1]], 1/1382400], [[[1, 1], [2, 4], [3, 2], [4, 1], [5, 1], [6, 1], [24, 1]], 1/1658880], [[[1, 1], [2, 4], [3, 2], [4, 1], [5, 1], [6, 1], [30, 1]], 1/2073600], [[[1, 1], [2, 4], [3, 2], [4, 1], [5, 1], [6, 2], [14, 1]], 1/3870720], [[[1, 1], [2, 4], [3, 2], [4, 1], [5, 1], [6, 2], [18, 1]], 1/2985984], [[[1, 1], [2, 4], [3, 2], [4, 1], [5, 1], [6, 3], [10, 1]], 1/8294400], [[[1, 1], [2, 4], [3, 2], [4, 1], [5, 1], [6, 3], [12, 1]], 19/179159040], [[[1, 1], [2, 4], [3, 2], [4, 1], [5, 1], [8, 1], [9, 1]], 1/829440], [[[1, 1], [2, 4], [3, 2], [4, 1], [5, 1], [12, 1], [14, 1]], 1/645120], [[[1, 1], [2, 4], [3, 2], [4, 1], [5, 1], [12, 1], [18, 1]], 1/2488320], [[[1, 1], [2, 4], [3, 2], [4, 1], [5, 2], [6, 1], [8, 1]], 7/66355200], [[[1, 1], [2, 4], [3, 2], [4, 1], [5, 2], [6, 1], [10, 1]], 1/41472000], [[[1, 1], [2, 4], [3, 2], [4, 1], [5, 2], [6, 1], [12, 1]], 11/199065600], [[[1, 1], [2, 4], [3, 2], [4, 1], [6, 1], [7, 1], [14, 1]], 1/96768], [[[1, 1], [2, 4], [3, 2], [4, 1], [6, 1], [8, 1], [10, 2]], 7/66355200], [[[1, 1], [2, 4], [3, 2], [4, 1], [6, 1], [8, 1], [12, 2]], 49/31850496], [[[1, 1], [2, 4], [3, 2], [4, 1], [6, 1], [8, 1], [15, 1]], 7/3317760], [[[1, 1], [2, 4], [3, 2], [4, 1], [6, 1], [8, 1], [16, 1]], 5/221184], [[[1, 1], [2, 4], [3, 2], [4, 1], [6, 1], [8, 1], [20, 1]], 23/2211840], [[[1, 1], [2, 4], [3, 2], [4, 1], [6, 1], [8, 1], [24, 1]], 13/884736], [[[1, 1], [2, 4], [3, 2], [4, 1], [6, 1], [8, 1], [30, 1]], 7/3317760], [[[1, 1], [2, 4], [3, 2], [4, 1], [6, 1], [8, 2], [10, 1]], 1/13271040], [[[1, 1], [2, 4], [3, 2], [4, 1], [6, 1], [8, 2], [12, 1]], 29/63700992], [[[1, 1], [2, 4], [3, 2], [4, 1], [6, 1], [9, 1], [14, 1]], 1/217728], [[[1, 1], [2, 4], [3, 2], [4, 1], [6, 1], [9, 1], [18, 1]], 59/3359232], [[[1, 1], [2, 4], [3, 2], [4, 1], [6, 1], [10, 1], [12, 2]], 31/19906560], [[[1, 1], [2, 4], [3, 2], [4, 1], [6, 1], [10, 1], [15, 1]], 1/2073600], [[[1, 1], [2, 4], [3, 2], [4, 1], [6, 1], [10, 1], [20, 1]], 1/1382400], [[[1, 1], [2, 4], [3, 2], [4, 1], [6, 1], [10, 1], [24, 1]], 1/1658880], [[[1, 1], [2, 4], [3, 2], [4, 1], [6, 1], [10, 1], [30, 1]], 1/2073600], [[[1, 1], [2, 4], [3, 2], [4, 1], [6, 1], [10, 2], [12, 1]], 31/39813120], [[[1, 1], [2, 4], [3, 2], [4, 1], [6, 1], [12, 1], [15, 1]], 11/9953280], [[[1, 1], [2, 4], [3, 2], [4, 1], [6, 1], [12, 1], [16, 1]], 1/165888], [[[1, 1], [2, 4], [3, 2], [4, 1], [6, 1], [12, 1], [20, 1]], 43/6635520], [[[1, 1], [2, 4], [3, 2], [4, 1], [6, 1], [12, 1], [24, 1]], 59/7962624], [[[1, 1], [2, 4], [3, 2], [4, 1], [6, 1], [12, 1], [30, 1]], 11/9953280], [[[1, 1], [2, 4], [3, 2], [4, 1], [6, 2], [7, 1], [8, 1]], 1/12386304], [[[1, 1], [2, 4], [3, 2], [4, 1], [6, 2], [8, 1], [9, 1]], 5/15925248], [[[1, 1], [2, 4], [3, 2], [4, 1], [6, 2], [8, 1], [14, 1]], 1/1032192], [[[1, 1], [2, 4], [3, 2], [4, 1], [6, 2], [8, 1], [18, 1]], 35/23887872], [[[1, 1], [2, 4], [3, 2], [4, 1], [6, 2], [9, 1], [10, 1]], 1/466560], [[[1, 1], [2, 4], [3, 2], [4, 1], [6, 2], [9, 1], [12, 1]], 17/17915904], [[[1, 1], [2, 4], [3, 2], [4, 1], [6, 2], [10, 1], [14, 1]], 1/3870720], [[[1, 1], [2, 4], [3, 2], [4, 1], [6, 2], [10, 1], [18, 1]], 1/2985984], [[[1, 1], [2, 4], [3, 2], [4, 1], [6, 2], [12, 1], [14, 1]], 73/2322432], [[[1, 1], [2, 4], [3, 2], [4, 1], [6, 2], [12, 1], [18, 1]], 157/17915904], [[[1, 1], [2, 4], [3, 2], [4, 1], [6, 3], [8, 1], [10, 1]], 1/2211840], [[[1, 1], [2, 4], [3, 2], [4, 1], [6, 3], [8, 1], [12, 1]], 133/286654464], [[[1, 1], [2, 4], [3, 2], [4, 1], [6, 3], [10, 1], [12, 1]], 2647/179159040], [[[1, 1], [2, 4], [3, 2], [4, 1], [7, 1], [8, 1], [12, 1]], 1/2064384], [[[1, 1], [2, 4], [3, 2], [4, 1], [8, 1], [9, 1], [12, 1]], 5/2654208], [[[1, 1], [2, 4], [3, 2], [4, 1], [8, 1], [12, 1], [14, 1]], 1/172032], [[[1, 1], [2, 4], [3, 2], [4, 1], [8, 1], [12, 1], [18, 1]], 7/3981312], [[[1, 1], [2, 4], [3, 2], [4, 1], [10, 1], [12, 1], [14, 1]], 1/645120], [[[1, 1], [2, 4], [3, 2], [4, 1], [10, 1], [12, 1], [18, 1]], 1/2488320], [[[1, 1], [2, 4], [3, 2], [4, 2], [5, 1], [6, 1], [9, 1]], 1/3732480], [[[1, 1], [2, 4], [3, 2], [4, 2], [5, 1], [6, 2], [8, 1]], 1/17694720], [[[1, 1], [2, 4], [3, 2], [4, 2], [5, 1], [8, 1], [12, 1]], 1/2949120], [[[1, 1], [2, 4], [3, 2], [4, 2], [6, 1], [7, 1], [12, 1]], 11/27869184], [[[1, 1], [2, 4], [3, 2], [4, 2], [6, 1], [8, 1], [9, 1]], 1/746496], [[[1, 1], [2, 4], [3, 2], [4, 2], [6, 1], [9, 1], [12, 1]], 55/35831808], [[[1, 1], [2, 4], [3, 2], [4, 2], [6, 1], [12, 1], [14, 1]], 23/13934592], [[[1, 1], [2, 4], [3, 2], [4, 2], [6, 1], [12, 1], [18, 1]], 1127/1719926784], [[[1, 1], [2, 4], [3, 2], [4, 2], [6, 2], [8, 1], [10, 1]], 1/17694720], [[[1, 1], [2, 4], [3, 2], [4, 2], [6, 2], [8, 1], [12, 1]], 47/5971968], [[[1, 1], [2, 4], [3, 2], [4, 2], [6, 2], [10, 1], [12, 1]], 1033/298598400], [[[1, 1], [2, 4], [3, 2], [4, 2], [8, 1], [10, 1], [12, 1]], 1/2949120], [[[1, 1], [2, 4], [3, 2], [4, 3], [5, 1], [6, 1], [12, 1]], 11/39813120], [[[1, 1], [2, 4], [3, 2], [4, 3], [6, 1], [8, 1], [12, 1]], 337/127401984], [[[1, 1], [2, 4], [3, 2], [4, 3], [6, 1], [10, 1], [12, 1]], 5/15925248], [[[1, 1], [2, 4], [3, 2], [5, 1], [6, 1], [9, 1], [10, 1]], 1/388800], [[[1, 1], [2, 4], [3, 2], [5, 1], [6, 1], [9, 1], [12, 1]], 1/933120], [[[1, 1], [2, 4], [3, 2], [6, 1], [7, 1], [10, 1], [12, 1]], 1/967680], [[[1, 1], [2, 4], [3, 2], [6, 1], [8, 1], [9, 1], [10, 1]], 1/311040], [[[1, 1], [2, 4], [3, 2], [6, 1], [8, 1], [9, 1], [12, 1]], 1/746496], [[[1, 1], [2, 4], [3, 2], [6, 1], [8, 1], [12, 1], [14, 1]], 1/774144], [[[1, 1], [2, 4], [3, 2], [6, 1], [8, 1], [12, 1], [18, 1]], 5/11943936], [[[1, 1], [2, 4], [3, 2], [6, 1], [9, 1], [10, 1], [12, 1]], 1/248832], [[[1, 1], [2, 4], [3, 2], [6, 1], [10, 1], [12, 1], [14, 1]], 1/322560], [[[1, 1], [2, 4], [3, 2], [6, 1], [10, 1], [12, 1], [18, 1]], 61/37324800], [[[1, 1], [2, 4], [3, 2], [6, 2], [8, 1], [10, 1], [12, 1]], 1/1658880], [[[1, 1], [2, 4], [3, 3], [4, 1], [5, 1], [6, 1], [9, 1]], 1/3732480], [[[1, 1], [2, 4], [3, 3], [4, 1], [5, 1], [6, 2], [8, 1]], 1/26542080], [[[1, 1], [2, 4], [3, 3], [4, 1], [5, 1], [6, 2], [10, 1]], 1/207360], [[[1, 1], [2, 4], [3, 3], [4, 1], [5, 1], [8, 1], [12, 1]], 1/4423680], [[[1, 1], [2, 4], [3, 3], [4, 1], [6, 1], [8, 1], [9, 1]], 7/5971968], [[[1, 1], [2, 4], [3, 3], [4, 1], [6, 1], [8, 1], [18, 1]], 1/35831808], [[[1, 1], [2, 4], [3, 3], [4, 1], [6, 1], [9, 1], [10, 1]], 1/3732480], [[[1, 1], [2, 4], [3, 3], [4, 1], [6, 1], [9, 1], [12, 1]], 11/17915904], [[[1, 1], [2, 4], [3, 3], [4, 1], [6, 1], [12, 1], [14, 1]], 1/1161216], [[[1, 1], [2, 4], [3, 3], [4, 1], [6, 1], [12, 1], [18, 1]], 5/17915904], [[[1, 1], [2, 4], [3, 3], [4, 1], [6, 2], [8, 1], [12, 1]], 787/191102976], [[[1, 1], [2, 4], [3, 3], [4, 1], [6, 2], [10, 1], [12, 1]], 1/2488320], [[[1, 1], [2, 4], [3, 3], [4, 2], [5, 1], [6, 1], [12, 1]], 11/59719680], [[[1, 1], [2, 4], [3, 3], [4, 2], [6, 1], [8, 1], [12, 1]], 5/11943936], [[[1, 1], [2, 4], [3, 3], [4, 2], [6, 1], [10, 1], [12, 1]], 1/22394880], [[[1, 1], [2, 4], [3, 3], [5, 1], [6, 1], [10, 1], [12, 1]], 1/2073600], [[[1, 1], [2, 4], [3, 3], [6, 1], [8, 1], [10, 1], [12, 1]], 1/1658880], [[[1, 1], [2, 4], [3, 4], [4, 1], [5, 1], [6, 1], [10, 1]], 1/746496000], [[[1, 1], [2, 4], [3, 4], [4, 1], [5, 1], [6, 1], [12, 1]], 91/1791590400], [[[1, 1], [2, 4], [3, 4], [4, 1], [6, 1], [8, 1], [10, 1]], 1/199065600], [[[1, 1], [2, 4], [3, 4], [4, 1], [6, 1], [8, 1], [12, 1]], 637/2866544640], [[[1, 1], [2, 4], [3, 4], [4, 1], [6, 1], [10, 1], [12, 1]], 19/358318080], [[[1, 1], [2, 4], [4, 1], [5, 1], [6, 1], [8, 1], [10, 2]], 1/9600], [[[1, 1], [2, 4], [4, 1], [5, 1], [6, 1], [8, 2], [10, 1]], 1/921600], [[[1, 1], [2, 4], [4, 1], [5, 1], [6, 1], [8, 2], [12, 1]], 1/2211840], [[[1, 1], [2, 4], [4, 1], [5, 1], [6, 1], [10, 1], [12, 2]], 1/1382400], [[[1, 1], [2, 4], [4, 1], [5, 1], [6, 1], [10, 1], [15, 1]], 1/144000], [[[1, 1], [2, 4], [4, 1], [5, 1], [6, 1], [10, 1], [20, 1]], 1/96000], [[[1, 1], [2, 4], [4, 1], [5, 1], [6, 1], [10, 1], [24, 1]], 1/115200], [[[1, 1], [2, 4], [4, 1], [5, 1], [6, 1], [10, 1], [30, 1]], 1/144000], [[[1, 1], [2, 4], [4, 1], [5, 1], [6, 1], [10, 2], [12, 1]], 1/6912000], [[[1, 1], [2, 4], [4, 1], [5, 1], [6, 1], [12, 1], [15, 1]], 1/345600], [[[1, 1], [2, 4], [4, 1], [5, 1], [6, 1], [12, 1], [20, 1]], 1/230400], [[[1, 1], [2, 4], [4, 1], [5, 1], [6, 1], [12, 1], [24, 1]], 1/276480], [[[1, 1], [2, 4], [4, 1], [5, 1], [6, 1], [12, 1], [30, 1]], 1/345600], [[[1, 1], [2, 4], [4, 1], [5, 1], [6, 1], [14, 1], [18, 1]], 1/120960], [[[1, 1], [2, 4], [4, 1], [5, 1], [6, 2], [10, 1], [18, 1]], 1/259200], [[[1, 1], [2, 4], [4, 1], [5, 1], [6, 2], [12, 1], [14, 1]], 1/645120], [[[1, 1], [2, 4], [4, 1], [5, 1], [6, 2], [12, 1], [18, 1]], 1/497664], [[[1, 1], [2, 4], [4, 1], [5, 1], [6, 3], [8, 1], [10, 1]], 1/1244160], [[[1, 1], [2, 4], [4, 1], [5, 1], [6, 3], [10, 1], [12, 1]], 1/1382400], [[[1, 1], [2, 4], [4, 1], [5, 1], [8, 1], [10, 1], [14, 1]], 1/4480], [[[1, 1], [2, 4], [4, 1], [5, 1], [8, 1], [10, 1], [18, 1]], 1/17280], [[[1, 1], [2, 4], [4, 1], [5, 2], [6, 1], [8, 1], [10, 1]], 1/768000], [[[1, 1], [2, 4], [4, 1], [5, 2], [6, 1], [8, 1], [12, 1]], 7/11059200], [[[1, 1], [2, 4], [4, 1], [5, 2], [6, 1], [10, 1], [12, 1]], 1/1382400], [[[1, 1], [2, 4], [4, 1], [6, 1], [7, 1], [8, 1], [18, 1]], 1/387072], [[[1, 1], [2, 4], [4, 1], [6, 1], [7, 1], [10, 1], [14, 1]], 1/6720], [[[1, 1], [2, 4], [4, 1], [6, 1], [7, 1], [12, 1], [14, 1]], 1/16128], [[[1, 1], [2, 4], [4, 1], [6, 1], [8, 1], [9, 1], [18, 1]], 1/497664], [[[1, 1], [2, 4], [4, 1], [6, 1], [8, 1], [10, 1], [12, 2]], 1/368640], [[[1, 1], [2, 4], [4, 1], [6, 1], [8, 1], [10, 1], [15, 1]], 1/38400], [[[1, 1], [2, 4], [4, 1], [6, 1], [8, 1], [10, 1], [16, 1]], 1/3072], [[[1, 1], [2, 4], [4, 1], [6, 1], [8, 1], [10, 1], [20, 1]], 11/76800], [[[1, 1], [2, 4], [4, 1], [6, 1], [8, 1], [10, 1], [24, 1]], 19/92160], [[[1, 1], [2, 4], [4, 1], [6, 1], [8, 1], [10, 1], [30, 1]], 1/38400], [[[1, 1], [2, 4], [4, 1], [6, 1], [8, 1], [10, 2], [12, 1]], 7/11059200], [[[1, 1], [2, 4], [4, 1], [6, 1], [8, 1], [12, 1], [15, 1]], 7/552960], [[[1, 1], [2, 4], [4, 1], [6, 1], [8, 1], [12, 1], [16, 1]], 5/36864], [[[1, 1], [2, 4], [4, 1], [6, 1], [8, 1], [12, 1], [20, 1]], 23/368640], [[[1, 1], [2, 4], [4, 1], [6, 1], [8, 1], [12, 1], [24, 1]], 13/147456], [[[1, 1], [2, 4], [4, 1], [6, 1], [8, 1], [12, 1], [30, 1]], 7/552960], [[[1, 1], [2, 4], [4, 1], [6, 1], [8, 1], [14, 1], [18, 1]], 1/32256], [[[1, 1], [2, 4], [4, 1], [6, 1], [8, 2], [10, 1], [12, 1]], 1/442368], [[[1, 1], [2, 4], [4, 1], [6, 1], [9, 1], [10, 1], [18, 1]], 1/8640], [[[1, 1], [2, 4], [4, 1], [6, 1], [9, 1], [12, 1], [18, 1]], 1/20736], [[[1, 1], [2, 4], [4, 1], [6, 1], [10, 1], [12, 1], [15, 1]], 1/69120], [[[1, 1], [2, 4], [4, 1], [6, 1], [10, 1], [12, 1], [16, 1]], 1/11520], [[[1, 1], [2, 4], [4, 1], [6, 1], [10, 1], [12, 1], [20, 1]], 7/76800], [[[1, 1], [2, 4], [4, 1], [6, 1], [10, 1], [12, 1], [24, 1]], 29/276480], [[[1, 1], [2, 4], [4, 1], [6, 1], [10, 1], [12, 1], [30, 1]], 1/69120], [[[1, 1], [2, 4], [4, 1], [6, 1], [10, 1], [14, 1], [18, 1]], 1/120960], [[[1, 1], [2, 4], [4, 1], [6, 1], [12, 1], [14, 1], [18, 1]], 1/72576], [[[1, 1], [2, 4], [4, 1], [6, 2], [7, 1], [8, 1], [12, 1]], 1/2064384], [[[1, 1], [2, 4], [4, 1], [6, 2], [8, 1], [9, 1], [12, 1]], 1/2654208], [[[1, 1], [2, 4], [4, 1], [6, 2], [8, 1], [10, 1], [18, 1]], 1/69120], [[[1, 1], [2, 4], [4, 1], [6, 2], [8, 1], [12, 1], [14, 1]], 1/172032], [[[1, 1], [2, 4], [4, 1], [6, 2], [8, 1], [12, 1], [18, 1]], 35/3981312], [[[1, 1], [2, 4], [4, 1], [6, 2], [10, 1], [12, 1], [14, 1]], 1/645120], [[[1, 1], [2, 4], [4, 1], [6, 2], [10, 1], [12, 1], [18, 1]], 7/829440], [[[1, 1], [2, 4], [4, 1], [6, 3], [8, 1], [10, 1], [12, 1]], 1/368640], [[[1, 1], [2, 4], [4, 2], [5, 1], [6, 1], [8, 1], [18, 1]], 1/552960], [[[1, 1], [2, 4], [4, 2], [5, 1], [6, 2], [8, 1], [12, 1]], 1/2949120], [[[1, 1], [2, 4], [4, 2], [6, 1], [7, 1], [10, 1], [12, 1]], 1/241920], [[[1, 1], [2, 4], [4, 2], [6, 1], [8, 1], [10, 1], [18, 1]], 1/552960], [[[1, 1], [2, 4], [4, 2], [6, 1], [8, 1], [12, 1], [14, 1]], 1/193536], [[[1, 1], [2, 4], [4, 2], [6, 1], [8, 1], [12, 1], [18, 1]], 7/1492992], [[[1, 1], [2, 4], [4, 2], [6, 1], [9, 1], [10, 1], [12, 1]], 1/311040], [[[1, 1], [2, 4], [4, 2], [6, 1], [10, 1], [12, 1], [14, 1]], 1/80640], [[[1, 1], [2, 4], [4, 2], [6, 1], [10, 1], [12, 1], [18, 1]], 61/9331200], [[[1, 1], [2, 4], [4, 2], [6, 2], [8, 1], [10, 1], [12, 1]], 73/26542080], [[[1, 1], [2, 4], [4, 3], [5, 1], [6, 1], [8, 1], [10, 1]], 1/92160], [[[1, 1], [2, 4], [4, 3], [5, 1], [6, 1], [10, 1], [12, 1]], 1/345600], [[[1, 1], [2, 4], [4, 3], [6, 1], [8, 1], [10, 1], [12, 1]], 1/30720], [[[1, 1], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1], [10, 2]], 1/288000], [[[1, 1], [2, 6], [3, 1], [4, 1], [5, 1], [6, 2], [9, 1]], 1/11197440], [[[1, 1], [2, 6], [3, 1], [4, 1], [5, 1], [6, 3], [8, 1]], 1/119439360], [[[1, 1], [2, 6], [3, 1], [4, 1], [5, 1], [6, 3], [10, 1]], 1/622080], [[[1, 1], [2, 6], [3, 1], [4, 1], [5, 1], [8, 1], [14, 1]], 1/430080], [[[1, 1], [2, 6], [3, 1], [4, 1], [5, 1], [8, 1], [18, 1]], 1/1658880], [[[1, 1], [2, 6], [3, 1], [4, 1], [5, 1], [9, 1], [10, 1]], 1/5184000], [[[1, 1], [2, 6], [3, 1], [4, 1], [5, 2], [6, 1], [8, 1]], 1/22118400], [[[1, 1], [2, 6], [3, 1], [4, 1], [5, 2], [6, 1], [10, 1]], 7/207360000], [[[1, 1], [2, 6], [3, 1], [4, 1], [5, 2], [6, 1], [12, 1]], 1/99532800], [[[1, 1], [2, 6], [3, 1], [4, 1], [6, 1], [8, 1], [10, 2]], 1/22118400], [[[1, 1], [2, 6], [3, 1], [4, 1], [6, 1], [8, 1], [12, 2]], 7/10616832], [[[1, 1], [2, 6], [3, 1], [4, 1], [6, 1], [8, 1], [15, 1]], 1/1105920], [[[1, 1], [2, 6], [3, 1], [4, 1], [6, 1], [8, 1], [20, 1]], 1/737280], [[[1, 1], [2, 6], [3, 1], [4, 1], [6, 1], [8, 1], [24, 1]], 1/884736], [[[1, 1], [2, 6], [3, 1], [4, 1], [6, 1], [8, 1], [30, 1]], 1/1105920], [[[1, 1], [2, 6], [3, 1], [4, 1], [6, 1], [8, 2], [10, 1]], 97/66355200], [[[1, 1], [2, 6], [3, 1], [4, 1], [6, 1], [8, 2], [12, 1]], 19/31850496], [[[1, 1], [2, 6], [3, 1], [4, 1], [6, 1], [9, 1], [14, 1]], 1/580608], [[[1, 1], [2, 6], [3, 1], [4, 1], [6, 1], [9, 1], [18, 1]], 17/22394880], [[[1, 1], [2, 6], [3, 1], [4, 1], [6, 1], [10, 1], [12, 2]], 79/99532800], [[[1, 1], [2, 6], [3, 1], [4, 1], [6, 1], [10, 1], [15, 1]], 7/10368000], [[[1, 1], [2, 6], [3, 1], [4, 1], [6, 1], [10, 1], [16, 1]], 1/230400], [[[1, 1], [2, 6], [3, 1], [4, 1], [6, 1], [10, 1], [20, 1]], 7/6912000], [[[1, 1], [2, 6], [3, 1], [4, 1], [6, 1], [10, 1], [24, 1]], 43/8294400], [[[1, 1], [2, 6], [3, 1], [4, 1], [6, 1], [10, 1], [30, 1]], 7/10368000], [[[1, 1], [2, 6], [3, 1], [4, 1], [6, 1], [10, 2], [12, 1]], 1/99532800], [[[1, 1], [2, 6], [3, 1], [4, 1], [6, 1], [12, 1], [15, 1]], 1/4976640], [[[1, 1], [2, 6], [3, 1], [4, 1], [6, 1], [12, 1], [20, 1]], 1/3317760], [[[1, 1], [2, 6], [3, 1], [4, 1], [6, 1], [12, 1], [24, 1]], 1/3981312], [[[1, 1], [2, 6], [3, 1], [4, 1], [6, 1], [12, 1], [30, 1]], 1/4976640], [[[1, 1], [2, 6], [3, 1], [4, 1], [6, 1], [14, 1], [18, 1]], 5/1741824], [[[1, 1], [2, 6], [3, 1], [4, 1], [6, 2], [8, 1], [9, 1]], 17/35831808], [[[1, 1], [2, 6], [3, 1], [4, 1], [6, 2], [8, 1], [14, 1]], 1/2064384], [[[1, 1], [2, 6], [3, 1], [4, 1], [6, 2], [8, 1], [18, 1]], 5/7962624], [[[1, 1], [2, 6], [3, 1], [4, 1], [6, 2], [9, 1], [10, 1]], 1/1119744], [[[1, 1], [2, 6], [3, 1], [4, 1], [6, 2], [9, 1], [12, 1]], 2089/4299816960], [[[1, 1], [2, 6], [3, 1], [4, 1], [6, 2], [10, 1], [14, 1]], 1/241920], [[[1, 1], [2, 6], [3, 1], [4, 1], [6, 2], [10, 1], [18, 1]], 1/691200], [[[1, 1], [2, 6], [3, 1], [4, 1], [6, 2], [12, 1], [14, 1]], 17/9289728], [[[1, 1], [2, 6], [3, 1], [4, 1], [6, 2], [12, 1], [18, 1]], 7/11943936], [[[1, 1], [2, 6], [3, 1], [4, 1], [6, 3], [8, 1], [10, 1]], 1/4423680], [[[1, 1], [2, 6], [3, 1], [4, 1], [6, 3], [8, 1], [12, 1]], 49/31850496], [[[1, 1], [2, 6], [3, 1], [4, 1], [6, 3], [10, 1], [12, 1]], 29/33177600], [[[1, 1], [2, 6], [3, 1], [4, 1], [8, 1], [9, 1], [10, 1]], 7/5529600], [[[1, 1], [2, 6], [3, 1], [4, 1], [8, 1], [12, 1], [14, 1]], 1/344064], [[[1, 1], [2, 6], [3, 1], [4, 1], [8, 1], [12, 1], [18, 1]], 1/1327104], [[[1, 1], [2, 6], [3, 1], [4, 1], [9, 1], [10, 1], [12, 1]], 1/3110400], [[[1, 1], [2, 6], [3, 1], [4, 2], [5, 1], [6, 1], [14, 1]], 1/1935360], [[[1, 1], [2, 6], [3, 1], [4, 2], [5, 1], [6, 1], [18, 1]], 17/119439360], [[[1, 1], [2, 6], [3, 1], [4, 2], [5, 1], [6, 2], [10, 1]], 1/4147200], [[[1, 1], [2, 6], [3, 1], [4, 2], [5, 1], [6, 2], [12, 1]], 841/5733089280], [[[1, 1], [2, 6], [3, 1], [4, 2], [5, 1], [10, 1], [12, 1]], 1/10368000], [[[1, 1], [2, 6], [3, 1], [4, 2], [6, 1], [8, 1], [9, 1]], 41/95551488], [[[1, 1], [2, 6], [3, 1], [4, 2], [6, 1], [8, 1], [14, 1]], 1/387072], [[[1, 1], [2, 6], [3, 1], [4, 2], [6, 1], [8, 1], [18, 1]], 77/95551488], [[[1, 1], [2, 6], [3, 1], [4, 2], [6, 1], [9, 1], [10, 1]], 79/298598400], [[[1, 1], [2, 6], [3, 1], [4, 2], [6, 1], [9, 1], [12, 1]], 43/604661760], [[[1, 1], [2, 6], [3, 1], [4, 2], [6, 1], [12, 1], [14, 1]], 11/4644864], [[[1, 1], [2, 6], [3, 1], [4, 2], [6, 1], [12, 1], [18, 1]], 179/286654464], [[[1, 1], [2, 6], [3, 1], [4, 2], [6, 2], [8, 1], [10, 1]], 1/829440], [[[1, 1], [2, 6], [3, 1], [4, 2], [6, 2], [8, 1], [12, 1]], 2677/4586471424], [[[1, 1], [2, 6], [3, 1], [4, 2], [6, 2], [10, 1], [12, 1]], 7/6220800], [[[1, 1], [2, 6], [3, 1], [4, 2], [8, 1], [10, 1], [12, 1]], 1/8294400], [[[1, 1], [2, 6], [3, 1], [4, 3], [5, 1], [6, 1], [8, 1]], 1/8847360], [[[1, 1], [2, 6], [3, 1], [4, 3], [5, 1], [6, 1], [10, 1]], 1/4423680], [[[1, 1], [2, 6], [3, 1], [4, 3], [6, 1], [8, 1], [10, 1]], 1/2764800], [[[1, 1], [2, 6], [3, 1], [4, 3], [6, 1], [8, 1], [12, 1]], 5/7077888], [[[1, 1], [2, 6], [3, 1], [4, 3], [6, 1], [10, 1], [12, 1]], 43/24883200], [[[1, 1], [2, 6], [3, 1], [5, 1], [6, 1], [10, 1], [14, 1]], 1/201600], [[[1, 1], [2, 6], [3, 1], [5, 1], [6, 1], [10, 1], [18, 1]], 11/7776000], [[[1, 1], [2, 6], [3, 1], [5, 1], [6, 1], [12, 1], [14, 1]], 1/483840], [[[1, 1], [2, 6], [3, 1], [5, 1], [6, 1], [12, 1], [18, 1]], 1/1866240], [[[1, 1], [2, 6], [3, 1], [5, 1], [6, 2], [10, 1], [12, 1]], 41/41472000], [[[1, 1], [2, 6], [3, 1], [6, 1], [8, 1], [9, 1], [10, 1]], 7/12441600], [[[1, 1], [2, 6], [3, 1], [6, 1], [8, 1], [9, 1], [12, 1]], 1/5971968], [[[1, 1], [2, 6], [3, 1], [6, 1], [8, 1], [10, 1], [14, 1]], 1/161280], [[[1, 1], [2, 6], [3, 1], [6, 1], [8, 1], [10, 1], [18, 1]], 11/6220800], [[[1, 1], [2, 6], [3, 1], [6, 1], [8, 1], [12, 1], [14, 1]], 1/387072], [[[1, 1], [2, 6], [3, 1], [6, 1], [8, 1], [12, 1], [18, 1]], 1/1492992], [[[1, 1], [2, 6], [3, 1], [6, 1], [9, 1], [10, 1], [12, 1]], 7/9331200], [[[1, 1], [2, 6], [3, 1], [6, 1], [10, 1], [12, 1], [14, 1]], 1/161280], [[[1, 1], [2, 6], [3, 1], [6, 1], [10, 1], [12, 1], [18, 1]], 11/6220800], [[[1, 1], [2, 6], [3, 1], [6, 2], [8, 1], [10, 1], [12, 1]], 41/33177600], [[[1, 1], [2, 6], [3, 2], [4, 1], [5, 1], [6, 1], [14, 1]], 1/1935360], [[[1, 1], [2, 6], [3, 2], [4, 1], [5, 1], [6, 1], [18, 1]], 1/7464960], [[[1, 1], [2, 6], [3, 2], [4, 1], [5, 1], [6, 2], [10, 1]], 41/165888000], [[[1, 1], [2, 6], [3, 2], [4, 1], [5, 1], [6, 2], [12, 1]], 7/59719680], [[[1, 1], [2, 6], [3, 2], [4, 1], [5, 1], [10, 1], [12, 1]], 1/27648000], [[[1, 1], [2, 6], [3, 2], [4, 1], [6, 1], [7, 1], [8, 1]], 1/6193152], [[[1, 1], [2, 6], [3, 2], [4, 1], [6, 1], [8, 1], [9, 1]], 5/7962624], [[[1, 1], [2, 6], [3, 2], [4, 1], [6, 1], [8, 1], [14, 1]], 5/2064384], [[[1, 1], [2, 6], [3, 2], [4, 1], [6, 1], [8, 1], [18, 1]], 17/23887872], [[[1, 1], [2, 6], [3, 2], [4, 1], [6, 1], [9, 1], [10, 1]], 7/18662400], [[[1, 1], [2, 6], [3, 2], [4, 1], [6, 1], [9, 1], [12, 1]], 1/8957952], [[[1, 1], [2, 6], [3, 2], [4, 1], [6, 1], [10, 1], [14, 1]], 1/1935360], [[[1, 1], [2, 6], [3, 2], [4, 1], [6, 1], [10, 1], [18, 1]], 1/7464960], [[[1, 1], [2, 6], [3, 2], [4, 1], [6, 1], [12, 1], [14, 1]], 11/9289728], [[[1, 1], [2, 6], [3, 2], [4, 1], [6, 1], [12, 1], [18, 1]], 443/1433272320], [[[1, 1], [2, 6], [3, 2], [4, 1], [6, 2], [8, 1], [10, 1]], 23/19660800], [[[1, 1], [2, 6], [3, 2], [4, 1], [6, 2], [8, 1], [12, 1]], 119/191102976], [[[1, 1], [2, 6], [3, 2], [4, 1], [6, 2], [10, 1], [12, 1]], 419/298598400], [[[1, 1], [2, 6], [3, 2], [4, 1], [8, 1], [10, 1], [12, 1]], 7/29491200], [[[1, 1], [2, 6], [3, 2], [4, 2], [5, 1], [6, 1], [8, 1]], 1/8847360], [[[1, 1], [2, 6], [3, 2], [4, 2], [6, 1], [8, 1], [10, 1]], 1/8847360], [[[1, 1], [2, 6], [3, 2], [4, 2], [6, 1], [8, 1], [12, 1]], 443/1528823808], [[[1, 1], [2, 6], [3, 2], [4, 2], [6, 1], [10, 1], [12, 1]], 137/955514880], [[[1, 1], [2, 6], [3, 2], [6, 1], [8, 1], [10, 1], [12, 1]], 7/66355200], [[[1, 1], [2, 6], [3, 3], [4, 1], [5, 1], [6, 1], [8, 1]], 1/13271040], [[[1, 1], [2, 6], [3, 3], [4, 1], [6, 1], [8, 1], [10, 1]], 1/39813120], [[[1, 1], [2, 6], [3, 3], [4, 1], [6, 1], [8, 1], [12, 1]], 19/95551488], [[[1, 1], [2, 6], [3, 3], [4, 1], [6, 1], [10, 1], [12, 1]], 7/99532800], [[[1, 1], [2, 6], [4, 1], [5, 1], [6, 1], [10, 1], [14, 1]], 1/134400], [[[1, 1], [2, 6], [4, 1], [5, 1], [6, 1], [10, 1], [18, 1]], 11/5184000], [[[1, 1], [2, 6], [4, 1], [5, 1], [6, 1], [12, 1], [14, 1]], 1/322560], [[[1, 1], [2, 6], [4, 1], [5, 1], [6, 1], [12, 1], [18, 1]], 1/1244160], [[[1, 1], [2, 6], [4, 1], [5, 1], [6, 2], [8, 1], [10, 1]], 1/414720], [[[1, 1], [2, 6], [4, 1], [5, 1], [6, 2], [10, 1], [12, 1]], 41/27648000], [[[1, 1], [2, 6], [4, 1], [6, 1], [7, 1], [8, 1], [10, 1]], 1/430080], [[[1, 1], [2, 6], [4, 1], [6, 1], [7, 1], [8, 1], [12, 1]], 1/1032192], [[[1, 1], [2, 6], [4, 1], [6, 1], [8, 1], [9, 1], [10, 1]], 1/552960], [[[1, 1], [2, 6], [4, 1], [6, 1], [8, 1], [9, 1], [12, 1]], 1/1327104], [[[1, 1], [2, 6], [4, 1], [6, 1], [8, 1], [10, 1], [14, 1]], 13/430080], [[[1, 1], [2, 6], [4, 1], [6, 1], [8, 1], [10, 1], [18, 1]], 19/1843200], [[[1, 1], [2, 6], [4, 1], [6, 1], [8, 1], [12, 1], [14, 1]], 5/344064], [[[1, 1], [2, 6], [4, 1], [6, 1], [8, 1], [12, 1], [18, 1]], 17/3981312], [[[1, 1], [2, 6], [4, 1], [6, 1], [10, 1], [12, 1], [14, 1]], 1/64512], [[[1, 1], [2, 6], [4, 1], [6, 1], [10, 1], [12, 1], [18, 1]], 1/230400], [[[1, 1], [2, 6], [4, 1], [6, 2], [8, 1], [10, 1], [12, 1]], 23/3276800], [[[1, 1], [2, 6], [4, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 1/614400], [[[1, 1], [2, 6], [4, 2], [5, 1], [6, 1], [8, 1], [12, 1]], 1/1474560], [[[1, 1], [2, 6], [4, 2], [6, 1], [8, 1], [10, 1], [12, 1]], 253/66355200], [[[1, 1], [2, 8], [3, 1], [4, 1], [5, 1], [6, 1], [9, 1]], 1/1343692800], [[[1, 1], [2, 8], [3, 1], [4, 1], [5, 1], [6, 2], [8, 1]], 1/39813120], [[[1, 1], [2, 8], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1]], 1/74649600], [[[1, 1], [2, 8], [3, 1], [4, 1], [5, 1], [8, 1], [10, 1]], 1/18432000], [[[1, 1], [2, 8], [3, 1], [4, 1], [6, 1], [8, 1], [9, 1]], 47/4299816960], [[[1, 1], [2, 8], [3, 1], [4, 1], [6, 1], [8, 1], [14, 1]], 1/1032192], [[[1, 1], [2, 8], [3, 1], [4, 1], [6, 1], [8, 1], [18, 1]], 1/3981312], [[[1, 1], [2, 8], [3, 1], [4, 1], [6, 1], [9, 1], [10, 1]], 137/2687385600], [[[1, 1], [2, 8], [3, 1], [4, 1], [6, 1], [9, 1], [12, 1]], 7/1289945088], [[[1, 1], [2, 8], [3, 1], [4, 1], [6, 1], [10, 1], [14, 1]], 1/1382400], [[[1, 1], [2, 8], [3, 1], [4, 1], [6, 1], [10, 1], [18, 1]], 1/4976640], [[[1, 1], [2, 8], [3, 1], [4, 1], [6, 1], [12, 1], [14, 1]], 1/4644864], [[[1, 1], [2, 8], [3, 1], [4, 1], [6, 1], [12, 1], [18, 1]], 1/17915904], [[[1, 1], [2, 8], [3, 1], [4, 1], [6, 2], [8, 1], [10, 1]], 41/88473600], [[[1, 1], [2, 8], [3, 1], [4, 1], [6, 2], [8, 1], [12, 1]], 331/1433272320], [[[1, 1], [2, 8], [3, 1], [4, 1], [6, 2], [10, 1], [12, 1]], 19/132710400], [[[1, 1], [2, 8], [3, 1], [4, 1], [8, 1], [10, 1], [12, 1]], 1/14745600], [[[1, 1], [2, 8], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1]], 13/663552000], [[[1, 1], [2, 8], [3, 1], [4, 2], [5, 1], [6, 1], [12, 1]], 151/42998169600], [[[1, 1], [2, 8], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1]], 97/530841600], [[[1, 1], [2, 8], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 1771/34398535680], [[[1, 1], [2, 8], [3, 1], [4, 2], [6, 1], [10, 1], [12, 1]], 103/1592524800], [[[1, 1], [2, 8], [3, 1], [5, 1], [6, 1], [10, 1], [12, 1]], 1/20736000], [[[1, 1], [2, 8], [3, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 1/16588800], [[[1, 1], [2, 8], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1]], 1/82944000], [[[1, 1], [2, 8], [3, 2], [4, 1], [5, 1], [6, 1], [12, 1]], 1/7166361600], [[[1, 1], [2, 8], [3, 2], [4, 1], [6, 1], [8, 1], [10, 1]], 1/11059200], [[[1, 1], [2, 8], [3, 2], [4, 1], [6, 1], [8, 1], [12, 1]], 47/22932357120], [[[1, 1], [2, 8], [3, 2], [4, 1], [6, 1], [10, 1], [12, 1]], 17/573308928], [[[1, 1], [2, 8], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/49766400], [[[1, 1], [2, 8], [4, 1], [5, 1], [6, 1], [10, 1], [12, 1]], 1/13824000], [[[1, 1], [2, 8], [4, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 1/1843200], [[[1, 1], [2, 10], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 1/4777574400], [[[1, 1], [2, 10], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 1/167215104000], [[[1, 1], [2, 10], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 1/44236800], [[[1, 1], [2, 10], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 107/401316249600], [[[1, 1], [2, 10], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1]], 1/199065600], [[[1, 1], [3, 1], [4, 2], [6, 1], [9, 1], [12, 1], [18, 1]], 7/104976], [[[1, 2], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1], [10, 3]], 1/144000], [[[1, 2], [2, 1], [3, 1], [4, 1], [5, 1], [6, 4], [9, 1]], 1/671846400], [[[1, 2], [2, 1], [3, 1], [4, 1], [5, 1], [6, 5], [10, 1]], 1/37324800], [[[1, 2], [2, 1], [3, 1], [4, 1], [5, 1], [8, 2], [9, 1]], 1/829440], [[[1, 2], [2, 1], [3, 1], [4, 1], [5, 1], [9, 1], [10, 2]], 1/2592000], [[[1, 2], [2, 1], [3, 1], [4, 1], [5, 1], [9, 1], [12, 2]], 1/1244160], [[[1, 2], [2, 1], [3, 1], [4, 1], [5, 1], [9, 1], [15, 1]], 1/129600], [[[1, 2], [2, 1], [3, 1], [4, 1], [5, 1], [9, 1], [20, 1]], 1/86400], [[[1, 2], [2, 1], [3, 1], [4, 1], [5, 1], [9, 1], [24, 1]], 1/103680], [[[1, 2], [2, 1], [3, 1], [4, 1], [5, 1], [9, 1], [30, 1]], 1/129600], [[[1, 2], [2, 1], [3, 1], [4, 1], [5, 2], [6, 1], [8, 2]], 1/16588800], [[[1, 2], [2, 1], [3, 1], [4, 1], [5, 2], [6, 1], [10, 2]], 301/51840000], [[[1, 2], [2, 1], [3, 1], [4, 1], [5, 2], [6, 1], [12, 2]], 37/24883200], [[[1, 2], [2, 1], [3, 1], [4, 1], [5, 2], [6, 1], [15, 1]], 1/2592000], [[[1, 2], [2, 1], [3, 1], [4, 1], [5, 2], [6, 1], [16, 1]], 1/115200], [[[1, 2], [2, 1], [3, 1], [4, 1], [5, 2], [6, 1], [20, 1]], 1/1728000], [[[1, 2], [2, 1], [3, 1], [4, 1], [5, 2], [6, 1], [24, 1]], 19/2073600], [[[1, 2], [2, 1], [3, 1], [4, 1], [5, 2], [6, 1], [30, 1]], 1/2592000], [[[1, 2], [2, 1], [3, 1], [4, 1], [5, 2], [6, 2], [18, 1]], 1/4665600], [[[1, 2], [2, 1], [3, 1], [4, 1], [5, 2], [6, 3], [12, 1]], 1/24883200], [[[1, 2], [2, 1], [3, 1], [4, 1], [5, 2], [8, 1], [9, 1]], 11/8294400], [[[1, 2], [2, 1], [3, 1], [4, 1], [5, 2], [9, 1], [10, 1]], 1/2592000], [[[1, 2], [2, 1], [3, 1], [4, 1], [5, 2], [9, 1], [12, 1]], 1/1555200], [[[1, 2], [2, 1], [3, 1], [4, 1], [5, 3], [6, 1], [10, 1]], 1/144000], [[[1, 2], [2, 1], [3, 1], [4, 1], [6, 1], [8, 1], [12, 3]], 1/82944], [[[1, 2], [2, 1], [3, 1], [4, 1], [6, 1], [8, 2], [10, 2]], 1/16588800], [[[1, 2], [2, 1], [3, 1], [4, 1], [6, 1], [8, 2], [12, 2]], 37/7962624], [[[1, 2], [2, 1], [3, 1], [4, 1], [6, 1], [8, 2], [15, 1]], 1/829440], [[[1, 2], [2, 1], [3, 1], [4, 1], [6, 1], [8, 2], [16, 1]], 1/36864], [[[1, 2], [2, 1], [3, 1], [4, 1], [6, 1], [8, 2], [20, 1]], 1/552960], [[[1, 2], [2, 1], [3, 1], [4, 1], [6, 1], [8, 2], [24, 1]], 17/221184], [[[1, 2], [2, 1], [3, 1], [4, 1], [6, 1], [8, 2], [30, 1]], 1/829440], [[[1, 2], [2, 1], [3, 1], [4, 1], [6, 1], [8, 3], [12, 1]], 1/55296], [[[1, 2], [2, 1], [3, 1], [4, 1], [6, 1], [10, 2], [12, 2]], 37/24883200], [[[1, 2], [2, 1], [3, 1], [4, 1], [6, 1], [10, 2], [15, 1]], 1/2592000], [[[1, 2], [2, 1], [3, 1], [4, 1], [6, 1], [10, 2], [16, 1]], 1/115200], [[[1, 2], [2, 1], [3, 1], [4, 1], [6, 1], [10, 2], [20, 1]], 1/1728000], [[[1, 2], [2, 1], [3, 1], [4, 1], [6, 1], [10, 2], [24, 1]], 19/2073600], [[[1, 2], [2, 1], [3, 1], [4, 1], [6, 1], [10, 2], [30, 1]], 1/2592000], [[[1, 2], [2, 1], [3, 1], [4, 1], [6, 1], [12, 1], [36, 1]], 109/15552], [[[1, 2], [2, 1], [3, 1], [4, 1], [6, 1], [12, 2], [15, 1]], 37/1244160], [[[1, 2], [2, 1], [3, 1], [4, 1], [6, 1], [12, 2], [16, 1]], 1/55296], [[[1, 2], [2, 1], [3, 1], [4, 1], [6, 1], [12, 2], [20, 1]], 37/829440], [[[1, 2], [2, 1], [3, 1], [4, 1], [6, 1], [12, 2], [24, 1]], 67/995328], [[[1, 2], [2, 1], [3, 1], [4, 1], [6, 1], [12, 2], [30, 1]], 37/1244160], [[[1, 2], [2, 1], [3, 1], [4, 1], [6, 1], [15, 1], [16, 1]], 1/5760], [[[1, 2], [2, 1], [3, 1], [4, 1], [6, 1], [15, 1], [20, 1]], 1/86400], [[[1, 2], [2, 1], [3, 1], [4, 1], [6, 1], [15, 1], [24, 1]], 19/103680], [[[1, 2], [2, 1], [3, 1], [4, 1], [6, 1], [15, 1], [30, 1]], 1/8100], [[[1, 2], [2, 1], [3, 1], [4, 1], [6, 1], [16, 1], [20, 1]], 1/3840], [[[1, 2], [2, 1], [3, 1], [4, 1], [6, 1], [16, 1], [24, 1]], 1/4608], [[[1, 2], [2, 1], [3, 1], [4, 1], [6, 1], [16, 1], [30, 1]], 1/5760], [[[1, 2], [2, 1], [3, 1], [4, 1], [6, 1], [20, 1], [24, 1]], 19/69120], [[[1, 2], [2, 1], [3, 1], [4, 1], [6, 1], [20, 1], [30, 1]], 1/86400], [[[1, 2], [2, 1], [3, 1], [4, 1], [6, 1], [24, 1], [30, 1]], 19/103680], [[[1, 2], [2, 1], [3, 1], [4, 1], [6, 2], [8, 2], [18, 1]], 1/1492992], [[[1, 2], [2, 1], [3, 1], [4, 1], [6, 2], [9, 1], [12, 2]], 1/746496], [[[1, 2], [2, 1], [3, 1], [4, 1], [6, 2], [10, 2], [18, 1]], 1/4665600], [[[1, 2], [2, 1], [3, 1], [4, 1], [6, 2], [12, 2], [18, 1]], 37/2239488], [[[1, 2], [2, 1], [3, 1], [4, 1], [6, 2], [15, 1], [18, 1]], 1/233280], [[[1, 2], [2, 1], [3, 1], [4, 1], [6, 2], [16, 1], [18, 1]], 1/10368], [[[1, 2], [2, 1], [3, 1], [4, 1], [6, 2], [18, 1], [20, 1]], 1/155520], [[[1, 2], [2, 1], [3, 1], [4, 1], [6, 2], [18, 1], [24, 1]], 19/186624], [[[1, 2], [2, 1], [3, 1], [4, 1], [6, 2], [18, 1], [30, 1]], 1/233280], [[[1, 2], [2, 1], [3, 1], [4, 1], [6, 3], [8, 1], [12, 2]], 1/82944], [[[1, 2], [2, 1], [3, 1], [4, 1], [6, 3], [8, 2], [12, 1]], 1/7962624], [[[1, 2], [2, 1], [3, 1], [4, 1], [6, 3], [10, 2], [12, 1]], 1/24883200], [[[1, 2], [2, 1], [3, 1], [4, 1], [6, 3], [12, 1], [15, 1]], 1/1244160], [[[1, 2], [2, 1], [3, 1], [4, 1], [6, 3], [12, 1], [16, 1]], 1/55296], [[[1, 2], [2, 1], [3, 1], [4, 1], [6, 3], [12, 1], [20, 1]], 1/829440], [[[1, 2], [2, 1], [3, 1], [4, 1], [6, 3], [12, 1], [24, 1]], 19/995328], [[[1, 2], [2, 1], [3, 1], [4, 1], [6, 3], [12, 1], [30, 1]], 1/1244160], [[[1, 2], [2, 1], [3, 1], [4, 1], [6, 4], [8, 1], [9, 1]], 11/2149908480], [[[1, 2], [2, 1], [3, 1], [4, 1], [6, 4], [9, 1], [10, 1]], 1/671846400], [[[1, 2], [2, 1], [3, 1], [4, 1], [6, 4], [9, 1], [12, 1]], 1/403107840], [[[1, 2], [2, 1], [3, 1], [4, 1], [6, 4], [12, 1], [18, 1]], 1/2239488], [[[1, 2], [2, 1], [3, 1], [4, 1], [6, 5], [8, 1], [12, 1]], 1/44789760], [[[1, 2], [2, 1], [3, 1], [4, 1], [7, 1], [9, 1], [14, 1]], 1/6048], [[[1, 2], [2, 1], [3, 1], [4, 1], [8, 1], [9, 1], [10, 2]], 11/8294400], [[[1, 2], [2, 1], [3, 1], [4, 1], [8, 1], [9, 1], [12, 2]], 11/3981312], [[[1, 2], [2, 1], [3, 1], [4, 1], [8, 1], [9, 1], [15, 1]], 11/414720], [[[1, 2], [2, 1], [3, 1], [4, 1], [8, 1], [9, 1], [16, 1]], 5/13824], [[[1, 2], [2, 1], [3, 1], [4, 1], [8, 1], [9, 1], [20, 1]], 43/276480], [[[1, 2], [2, 1], [3, 1], [4, 1], [8, 1], [9, 1], [24, 1]], 25/110592], [[[1, 2], [2, 1], [3, 1], [4, 1], [8, 1], [9, 1], [30, 1]], 11/414720], [[[1, 2], [2, 1], [3, 1], [4, 1], [8, 2], [9, 1], [10, 1]], 1/829440], [[[1, 2], [2, 1], [3, 1], [4, 1], [8, 2], [9, 1], [12, 1]], 1/497664], [[[1, 2], [2, 1], [3, 1], [4, 1], [9, 1], [10, 1], [12, 2]], 1/1244160], [[[1, 2], [2, 1], [3, 1], [4, 1], [9, 1], [10, 1], [15, 1]], 1/129600], [[[1, 2], [2, 1], [3, 1], [4, 1], [9, 1], [10, 1], [20, 1]], 1/86400], [[[1, 2], [2, 1], [3, 1], [4, 1], [9, 1], [10, 1], [24, 1]], 1/103680], [[[1, 2], [2, 1], [3, 1], [4, 1], [9, 1], [10, 1], [30, 1]], 1/129600], [[[1, 2], [2, 1], [3, 1], [4, 1], [9, 1], [10, 2], [12, 1]], 1/1555200], [[[1, 2], [2, 1], [3, 1], [4, 1], [9, 1], [12, 1], [15, 1]], 1/77760], [[[1, 2], [2, 1], [3, 1], [4, 1], [9, 1], [12, 1], [16, 1]], 1/10368], [[[1, 2], [2, 1], [3, 1], [4, 1], [9, 1], [12, 1], [20, 1]], 1/10368], [[[1, 2], [2, 1], [3, 1], [4, 1], [9, 1], [12, 1], [24, 1]], 7/62208], [[[1, 2], [2, 1], [3, 1], [4, 1], [9, 1], [12, 1], [30, 1]], 1/77760], [[[1, 2], [2, 1], [3, 1], [4, 2], [5, 1], [6, 2], [12, 2]], 1/1244160], [[[1, 2], [2, 1], [3, 1], [4, 2], [5, 1], [6, 4], [12, 1]], 1/671846400], [[[1, 2], [2, 1], [3, 1], [4, 2], [5, 1], [8, 1], [16, 1]], 1/15360], [[[1, 2], [2, 1], [3, 1], [4, 2], [5, 1], [8, 2], [12, 1]], 13/829440], [[[1, 2], [2, 1], [3, 1], [4, 2], [5, 1], [10, 2], [12, 1]], 1/2592000], [[[1, 2], [2, 1], [3, 1], [4, 2], [5, 1], [12, 1], [15, 1]], 1/129600], [[[1, 2], [2, 1], [3, 1], [4, 2], [5, 1], [12, 1], [20, 1]], 13/86400], [[[1, 2], [2, 1], [3, 1], [4, 2], [5, 1], [12, 1], [24, 1]], 7/103680], [[[1, 2], [2, 1], [3, 1], [4, 2], [5, 1], [12, 1], [30, 1]], 1/129600], [[[1, 2], [2, 1], [3, 1], [4, 2], [5, 2], [6, 1], [18, 1]], 1/37324800], [[[1, 2], [2, 1], [3, 1], [4, 2], [5, 2], [6, 2], [12, 1]], 7/119439360], [[[1, 2], [2, 1], [3, 1], [4, 2], [5, 2], [8, 1], [12, 1]], 1/4147200], [[[1, 2], [2, 1], [3, 1], [4, 2], [6, 1], [8, 2], [18, 1]], 1/11943936], [[[1, 2], [2, 1], [3, 1], [4, 2], [6, 1], [9, 1], [12, 2]], 1/373248], [[[1, 2], [2, 1], [3, 1], [4, 2], [6, 1], [10, 2], [18, 1]], 1/37324800], [[[1, 2], [2, 1], [3, 1], [4, 2], [6, 1], [12, 2], [18, 1]], 65/17915904], [[[1, 2], [2, 1], [3, 1], [4, 2], [6, 1], [15, 1], [18, 1]], 1/1866240], [[[1, 2], [2, 1], [3, 1], [4, 2], [6, 1], [18, 1], [20, 1]], 1/1244160], [[[1, 2], [2, 1], [3, 1], [4, 2], [6, 1], [18, 1], [24, 1]], 1/1492992], [[[1, 2], [2, 1], [3, 1], [4, 2], [6, 1], [18, 1], [30, 1]], 1/1866240], [[[1, 2], [2, 1], [3, 1], [4, 2], [6, 2], [8, 1], [12, 2]], 1/1990656], [[[1, 2], [2, 1], [3, 1], [4, 2], [6, 2], [8, 1], [16, 1]], 1/110592], [[[1, 2], [2, 1], [3, 1], [4, 2], [6, 2], [8, 2], [12, 1]], 419/191102976], [[[1, 2], [2, 1], [3, 1], [4, 2], [6, 2], [10, 2], [12, 1]], 7/119439360], [[[1, 2], [2, 1], [3, 1], [4, 2], [6, 2], [12, 1], [15, 1]], 7/5971968], [[[1, 2], [2, 1], [3, 1], [4, 2], [6, 2], [12, 1], [20, 1]], 419/19906560], [[[1, 2], [2, 1], [3, 1], [4, 2], [6, 2], [12, 1], [24, 1]], 227/23887872], [[[1, 2], [2, 1], [3, 1], [4, 2], [6, 2], [12, 1], [30, 1]], 7/5971968], [[[1, 2], [2, 1], [3, 1], [4, 2], [6, 3], [9, 1], [12, 1]], 1/20155392], [[[1, 2], [2, 1], [3, 1], [4, 2], [6, 3], [12, 1], [18, 1]], 35/53747712], [[[1, 2], [2, 1], [3, 1], [4, 2], [6, 4], [8, 1], [12, 1]], 1/1074954240], [[[1, 2], [2, 1], [3, 1], [4, 2], [7, 1], [9, 1], [12, 1]], 1/108864], [[[1, 2], [2, 1], [3, 1], [4, 2], [8, 1], [10, 2], [12, 1]], 1/4147200], [[[1, 2], [2, 1], [3, 1], [4, 2], [8, 1], [12, 1], [15, 1]], 1/207360], [[[1, 2], [2, 1], [3, 1], [4, 2], [8, 1], [12, 1], [16, 1]], 1/18432], [[[1, 2], [2, 1], [3, 1], [4, 2], [8, 1], [12, 1], [20, 1]], 13/138240], [[[1, 2], [2, 1], [3, 1], [4, 2], [8, 1], [12, 1], [24, 1]], 7/165888], [[[1, 2], [2, 1], [3, 1], [4, 2], [8, 1], [12, 1], [30, 1]], 1/207360], [[[1, 2], [2, 1], [3, 1], [4, 2], [9, 1], [12, 1], [14, 1]], 1/217728], [[[1, 2], [2, 1], [3, 1], [4, 2], [9, 1], [12, 1], [18, 1]], 1/279936], [[[1, 2], [2, 1], [3, 1], [4, 3], [5, 1], [9, 1], [12, 1]], 1/311040], [[[1, 2], [2, 1], [3, 1], [4, 3], [5, 2], [6, 1], [8, 1]], 1/1382400], [[[1, 2], [2, 1], [3, 1], [4, 3], [5, 2], [6, 1], [12, 1]], 19/6220800], [[[1, 2], [2, 1], [3, 1], [4, 3], [6, 1], [8, 1], [10, 2]], 1/1382400], [[[1, 2], [2, 1], [3, 1], [4, 3], [6, 1], [8, 1], [12, 2]], 11/221184], [[[1, 2], [2, 1], [3, 1], [4, 3], [6, 1], [8, 1], [15, 1]], 1/69120], [[[1, 2], [2, 1], [3, 1], [4, 3], [6, 1], [8, 1], [16, 1]], 1/36864], [[[1, 2], [2, 1], [3, 1], [4, 3], [6, 1], [8, 1], [20, 1]], 1/46080], [[[1, 2], [2, 1], [3, 1], [4, 3], [6, 1], [8, 1], [24, 1]], 1/55296], [[[1, 2], [2, 1], [3, 1], [4, 3], [6, 1], [8, 1], [30, 1]], 1/69120], [[[1, 2], [2, 1], [3, 1], [4, 3], [6, 1], [8, 2], [12, 1]], 31/1990656], [[[1, 2], [2, 1], [3, 1], [4, 3], [6, 1], [9, 1], [18, 1]], 7/1119744], [[[1, 2], [2, 1], [3, 1], [4, 3], [6, 1], [10, 2], [12, 1]], 19/6220800], [[[1, 2], [2, 1], [3, 1], [4, 3], [6, 1], [12, 1], [15, 1]], 19/311040], [[[1, 2], [2, 1], [3, 1], [4, 3], [6, 1], [12, 1], [16, 1]], 1/13824], [[[1, 2], [2, 1], [3, 1], [4, 3], [6, 1], [12, 1], [20, 1]], 31/207360], [[[1, 2], [2, 1], [3, 1], [4, 3], [6, 1], [12, 1], [24, 1]], 43/248832], [[[1, 2], [2, 1], [3, 1], [4, 3], [6, 1], [12, 1], [30, 1]], 19/311040], [[[1, 2], [2, 1], [3, 1], [4, 3], [6, 2], [8, 1], [18, 1]], 1/124416], [[[1, 2], [2, 1], [3, 1], [4, 3], [6, 2], [9, 1], [12, 1]], 1/23887872], [[[1, 2], [2, 1], [3, 1], [4, 3], [6, 2], [12, 1], [18, 1]], 19/559872], [[[1, 2], [2, 1], [3, 1], [4, 3], [6, 3], [8, 1], [12, 1]], 1/663552], [[[1, 2], [2, 1], [3, 1], [4, 3], [8, 1], [9, 1], [12, 1]], 35/995328], [[[1, 2], [2, 1], [3, 1], [4, 3], [9, 1], [10, 1], [12, 1]], 1/311040], [[[1, 2], [2, 1], [3, 1], [4, 4], [5, 1], [6, 1], [18, 1]], 1/149299200], [[[1, 2], [2, 1], [3, 1], [4, 4], [5, 1], [6, 2], [12, 1]], 1/796262400], [[[1, 2], [2, 1], [3, 1], [4, 4], [6, 1], [8, 1], [9, 1]], 1/238878720], [[[1, 2], [2, 1], [3, 1], [4, 4], [6, 1], [8, 1], [18, 1]], 1/238878720], [[[1, 2], [2, 1], [3, 1], [4, 4], [6, 1], [9, 1], [10, 1]], 1/298598400], [[[1, 2], [2, 1], [3, 1], [4, 4], [6, 1], [9, 1], [12, 1]], 1/238878720], [[[1, 2], [2, 1], [3, 1], [4, 4], [6, 1], [12, 1], [18, 1]], 41/179159040], [[[1, 2], [2, 1], [3, 1], [4, 4], [6, 2], [8, 1], [12, 1]], 1/1274019840], [[[1, 2], [2, 1], [3, 1], [4, 5], [5, 1], [6, 1], [10, 1]], 1/11059200], [[[1, 2], [2, 1], [3, 1], [4, 5], [6, 1], [8, 1], [12, 1]], 1/163840], [[[1, 2], [2, 1], [3, 1], [5, 1], [6, 1], [8, 2], [18, 1]], 1/622080], [[[1, 2], [2, 1], [3, 1], [5, 1], [6, 1], [9, 1], [15, 1]], 1/360], [[[1, 2], [2, 1], [3, 1], [5, 1], [6, 1], [10, 2], [18, 1]], 1/1944000], [[[1, 2], [2, 1], [3, 1], [5, 1], [6, 1], [12, 2], [18, 1]], 1/933120], [[[1, 2], [2, 1], [3, 1], [5, 1], [6, 1], [15, 1], [18, 1]], 1/97200], [[[1, 2], [2, 1], [3, 1], [5, 1], [6, 1], [18, 1], [20, 1]], 1/64800], [[[1, 2], [2, 1], [3, 1], [5, 1], [6, 1], [18, 1], [24, 1]], 1/77760], [[[1, 2], [2, 1], [3, 1], [5, 1], [6, 1], [18, 1], [30, 1]], 1/97200], [[[1, 2], [2, 1], [3, 1], [5, 1], [6, 2], [8, 2], [12, 1]], 1/3317760], [[[1, 2], [2, 1], [3, 1], [5, 1], [6, 2], [10, 2], [12, 1]], 1/10368000], [[[1, 2], [2, 1], [3, 1], [5, 1], [6, 2], [12, 1], [15, 1]], 1/518400], [[[1, 2], [2, 1], [3, 1], [5, 1], [6, 2], [12, 1], [20, 1]], 1/345600], [[[1, 2], [2, 1], [3, 1], [5, 1], [6, 2], [12, 1], [24, 1]], 1/414720], [[[1, 2], [2, 1], [3, 1], [5, 1], [6, 2], [12, 1], [30, 1]], 1/518400], [[[1, 2], [2, 1], [3, 1], [5, 1], [6, 3], [12, 1], [18, 1]], 1/933120], [[[1, 2], [2, 1], [3, 1], [5, 2], [6, 1], [8, 1], [9, 1]], 1/3110400], [[[1, 2], [2, 1], [3, 1], [5, 2], [6, 1], [8, 1], [18, 1]], 1/3110400], [[[1, 2], [2, 1], [3, 1], [5, 2], [6, 1], [9, 1], [10, 1]], 1/3888000], [[[1, 2], [2, 1], [3, 1], [5, 2], [6, 1], [9, 1], [12, 1]], 1/3110400], [[[1, 2], [2, 1], [3, 1], [5, 2], [6, 1], [12, 1], [18, 1]], 1/2332800], [[[1, 2], [2, 1], [3, 1], [5, 2], [6, 2], [8, 1], [12, 1]], 1/16588800], [[[1, 2], [2, 1], [3, 1], [6, 1], [7, 1], [9, 1], [18, 1]], 1/2916], [[[1, 2], [2, 1], [3, 1], [6, 1], [8, 1], [9, 1], [10, 2]], 1/3110400], [[[1, 2], [2, 1], [3, 1], [6, 1], [8, 1], [9, 1], [12, 2]], 1/1492992], [[[1, 2], [2, 1], [3, 1], [6, 1], [8, 1], [9, 1], [15, 1]], 1/155520], [[[1, 2], [2, 1], [3, 1], [6, 1], [8, 1], [9, 1], [20, 1]], 1/103680], [[[1, 2], [2, 1], [3, 1], [6, 1], [8, 1], [9, 1], [24, 1]], 433/124416], [[[1, 2], [2, 1], [3, 1], [6, 1], [8, 1], [9, 1], [30, 1]], 1/155520], [[[1, 2], [2, 1], [3, 1], [6, 1], [8, 1], [10, 2], [18, 1]], 1/3110400], [[[1, 2], [2, 1], [3, 1], [6, 1], [8, 1], [12, 2], [18, 1]], 1/1492992], [[[1, 2], [2, 1], [3, 1], [6, 1], [8, 1], [15, 1], [18, 1]], 1/155520], [[[1, 2], [2, 1], [3, 1], [6, 1], [8, 1], [18, 1], [20, 1]], 1/103680], [[[1, 2], [2, 1], [3, 1], [6, 1], [8, 1], [18, 1], [24, 1]], 433/124416], [[[1, 2], [2, 1], [3, 1], [6, 1], [8, 1], [18, 1], [30, 1]], 1/155520], [[[1, 2], [2, 1], [3, 1], [6, 1], [8, 2], [9, 1], [10, 1]], 1/1244160], [[[1, 2], [2, 1], [3, 1], [6, 1], [8, 2], [9, 1], [12, 1]], 1/995328], [[[1, 2], [2, 1], [3, 1], [6, 1], [8, 2], [12, 1], [18, 1]], 1/746496], [[[1, 2], [2, 1], [3, 1], [6, 1], [9, 1], [10, 1], [12, 2]], 1/1866240], [[[1, 2], [2, 1], [3, 1], [6, 1], [9, 1], [10, 1], [15, 1]], 1/194400], [[[1, 2], [2, 1], [3, 1], [6, 1], [9, 1], [10, 1], [20, 1]], 1/129600], [[[1, 2], [2, 1], [3, 1], [6, 1], [9, 1], [10, 1], [24, 1]], 1/155520], [[[1, 2], [2, 1], [3, 1], [6, 1], [9, 1], [10, 1], [30, 1]], 1/194400], [[[1, 2], [2, 1], [3, 1], [6, 1], [9, 1], [10, 2], [12, 1]], 1/3110400], [[[1, 2], [2, 1], [3, 1], [6, 1], [9, 1], [12, 1], [15, 1]], 1/155520], [[[1, 2], [2, 1], [3, 1], [6, 1], [9, 1], [12, 1], [20, 1]], 1/103680], [[[1, 2], [2, 1], [3, 1], [6, 1], [9, 1], [12, 1], [24, 1]], 1/124416], [[[1, 2], [2, 1], [3, 1], [6, 1], [9, 1], [12, 1], [30, 1]], 1/155520], [[[1, 2], [2, 1], [3, 1], [6, 1], [9, 1], [14, 1], [18, 1]], 1/5832], [[[1, 2], [2, 1], [3, 1], [6, 1], [10, 1], [18, 1], [30, 1]], 1/360], [[[1, 2], [2, 1], [3, 1], [6, 1], [10, 2], [12, 1], [18, 1]], 1/2332800], [[[1, 2], [2, 1], [3, 1], [6, 1], [12, 1], [15, 1], [18, 1]], 1/116640], [[[1, 2], [2, 1], [3, 1], [6, 1], [12, 1], [18, 1], [20, 1]], 1/77760], [[[1, 2], [2, 1], [3, 1], [6, 1], [12, 1], [18, 1], [24, 1]], 1/93312], [[[1, 2], [2, 1], [3, 1], [6, 1], [12, 1], [18, 1], [30, 1]], 1/116640], [[[1, 2], [2, 1], [3, 1], [6, 2], [7, 1], [9, 1], [12, 1]], 1/435456], [[[1, 2], [2, 1], [3, 1], [6, 2], [8, 1], [9, 1], [18, 1]], 7/69984], [[[1, 2], [2, 1], [3, 1], [6, 2], [8, 1], [10, 2], [12, 1]], 1/16588800], [[[1, 2], [2, 1], [3, 1], [6, 2], [8, 1], [12, 1], [15, 1]], 1/829440], [[[1, 2], [2, 1], [3, 1], [6, 2], [8, 1], [12, 1], [20, 1]], 1/552960], [[[1, 2], [2, 1], [3, 1], [6, 2], [8, 1], [12, 1], [24, 1]], 1/663552], [[[1, 2], [2, 1], [3, 1], [6, 2], [8, 1], [12, 1], [30, 1]], 1/829440], [[[1, 2], [2, 1], [3, 1], [6, 2], [9, 1], [10, 1], [18, 1]], 7/87480], [[[1, 2], [2, 1], [3, 1], [6, 2], [9, 1], [12, 1], [14, 1]], 1/870912], [[[1, 2], [2, 1], [3, 1], [6, 2], [9, 1], [12, 1], [18, 1]], 113/1119744], [[[1, 2], [2, 1], [3, 1], [6, 3], [8, 1], [9, 1], [12, 1]], 1/1492992], [[[1, 2], [2, 1], [3, 1], [6, 3], [8, 1], [12, 1], [18, 1]], 1/1492992], [[[1, 2], [2, 1], [3, 1], [6, 3], [9, 1], [10, 1], [12, 1]], 1/1866240], [[[1, 2], [2, 1], [3, 2], [4, 1], [5, 1], [6, 2], [8, 2]], 1/26542080], [[[1, 2], [2, 1], [3, 2], [4, 1], [5, 1], [6, 2], [10, 2]], 1/82944000], [[[1, 2], [2, 1], [3, 2], [4, 1], [5, 1], [6, 2], [12, 2]], 151/39813120], [[[1, 2], [2, 1], [3, 2], [4, 1], [5, 1], [6, 2], [15, 1]], 1/4147200], [[[1, 2], [2, 1], [3, 2], [4, 1], [5, 1], [6, 2], [20, 1]], 1/2764800], [[[1, 2], [2, 1], [3, 2], [4, 1], [5, 1], [6, 2], [24, 1]], 73/3317760], [[[1, 2], [2, 1], [3, 2], [4, 1], [5, 1], [6, 2], [30, 1]], 1/4147200], [[[1, 2], [2, 1], [3, 2], [4, 1], [5, 1], [6, 3], [18, 1]], 1/7464960], [[[1, 2], [2, 1], [3, 2], [4, 1], [5, 1], [6, 4], [12, 1]], 91/3583180800], [[[1, 2], [2, 1], [3, 2], [4, 1], [5, 1], [8, 2], [12, 1]], 1/4423680], [[[1, 2], [2, 1], [3, 2], [4, 1], [5, 1], [10, 2], [12, 1]], 1/13824000], [[[1, 2], [2, 1], [3, 2], [4, 1], [5, 1], [12, 1], [15, 1]], 1/691200], [[[1, 2], [2, 1], [3, 2], [4, 1], [5, 1], [12, 1], [20, 1]], 1/460800], [[[1, 2], [2, 1], [3, 2], [4, 1], [5, 1], [12, 1], [24, 1]], 1/552960], [[[1, 2], [2, 1], [3, 2], [4, 1], [5, 1], [12, 1], [30, 1]], 1/691200], [[[1, 2], [2, 1], [3, 2], [4, 1], [5, 2], [6, 1], [9, 1]], 1/4665600], [[[1, 2], [2, 1], [3, 2], [4, 1], [5, 2], [6, 2], [8, 1]], 11/265420800], [[[1, 2], [2, 1], [3, 2], [4, 1], [5, 2], [6, 2], [10, 1]], 1/82944000], [[[1, 2], [2, 1], [3, 2], [4, 1], [5, 2], [6, 2], [12, 1]], 73/49766400], [[[1, 2], [2, 1], [3, 2], [4, 1], [5, 2], [8, 1], [12, 1]], 11/44236800], [[[1, 2], [2, 1], [3, 2], [4, 1], [5, 2], [10, 1], [12, 1]], 1/13824000], [[[1, 2], [2, 1], [3, 2], [4, 1], [6, 1], [8, 2], [9, 1]], 1/1492992], [[[1, 2], [2, 1], [3, 2], [4, 1], [6, 1], [9, 1], [10, 2]], 1/4665600], [[[1, 2], [2, 1], [3, 2], [4, 1], [6, 1], [9, 1], [12, 2]], 37/2239488], [[[1, 2], [2, 1], [3, 2], [4, 1], [6, 1], [9, 1], [15, 1]], 1/233280], [[[1, 2], [2, 1], [3, 2], [4, 1], [6, 1], [9, 1], [16, 1]], 1/10368], [[[1, 2], [2, 1], [3, 2], [4, 1], [6, 1], [9, 1], [20, 1]], 1/155520], [[[1, 2], [2, 1], [3, 2], [4, 1], [6, 1], [9, 1], [24, 1]], 19/186624], [[[1, 2], [2, 1], [3, 2], [4, 1], [6, 1], [9, 1], [30, 1]], 1/233280], [[[1, 2], [2, 1], [3, 2], [4, 1], [6, 1], [12, 2], [18, 1]], 1/746496], [[[1, 2], [2, 1], [3, 2], [4, 1], [6, 2], [7, 1], [14, 1]], 1/193536], [[[1, 2], [2, 1], [3, 2], [4, 1], [6, 2], [8, 1], [10, 2]], 11/265420800], [[[1, 2], [2, 1], [3, 2], [4, 1], [6, 2], [8, 1], [12, 2]], 1661/127401984], [[[1, 2], [2, 1], [3, 2], [4, 1], [6, 2], [8, 1], [15, 1]], 11/13271040], [[[1, 2], [2, 1], [3, 2], [4, 1], [6, 2], [8, 1], [16, 1]], 5/442368], [[[1, 2], [2, 1], [3, 2], [4, 1], [6, 2], [8, 1], [20, 1]], 43/8847360], [[[1, 2], [2, 1], [3, 2], [4, 1], [6, 2], [8, 1], [24, 1]], 289/3538944], [[[1, 2], [2, 1], [3, 2], [4, 1], [6, 2], [8, 1], [30, 1]], 11/13271040], [[[1, 2], [2, 1], [3, 2], [4, 1], [6, 2], [8, 2], [10, 1]], 1/26542080], [[[1, 2], [2, 1], [3, 2], [4, 1], [6, 2], [8, 2], [12, 1]], 73/15925248], [[[1, 2], [2, 1], [3, 2], [4, 1], [6, 2], [9, 1], [18, 1]], 475/6718464], [[[1, 2], [2, 1], [3, 2], [4, 1], [6, 2], [10, 1], [12, 2]], 151/39813120], [[[1, 2], [2, 1], [3, 2], [4, 1], [6, 2], [10, 1], [15, 1]], 1/4147200], [[[1, 2], [2, 1], [3, 2], [4, 1], [6, 2], [10, 1], [20, 1]], 1/2764800], [[[1, 2], [2, 1], [3, 2], [4, 1], [6, 2], [10, 1], [24, 1]], 73/3317760], [[[1, 2], [2, 1], [3, 2], [4, 1], [6, 2], [10, 1], [30, 1]], 1/4147200], [[[1, 2], [2, 1], [3, 2], [4, 1], [6, 2], [10, 2], [12, 1]], 73/49766400], [[[1, 2], [2, 1], [3, 2], [4, 1], [6, 2], [12, 1], [15, 1]], 73/2488320], [[[1, 2], [2, 1], [3, 2], [4, 1], [6, 2], [12, 1], [16, 1]], 1/331776], [[[1, 2], [2, 1], [3, 2], [4, 1], [6, 2], [12, 1], [20, 1]], 77/1658880], [[[1, 2], [2, 1], [3, 2], [4, 1], [6, 2], [12, 1], [24, 1]], 151/1990656], [[[1, 2], [2, 1], [3, 2], [4, 1], [6, 2], [12, 1], [30, 1]], 73/2488320], [[[1, 2], [2, 1], [3, 2], [4, 1], [6, 3], [8, 1], [18, 1]], 11/23887872], [[[1, 2], [2, 1], [3, 2], [4, 1], [6, 3], [9, 1], [12, 1]], 1/2239488], [[[1, 2], [2, 1], [3, 2], [4, 1], [6, 3], [10, 1], [18, 1]], 1/7464960], [[[1, 2], [2, 1], [3, 2], [4, 1], [6, 3], [12, 1], [18, 1]], 73/4478976], [[[1, 2], [2, 1], [3, 2], [4, 1], [6, 4], [8, 1], [12, 1]], 1001/11466178560], [[[1, 2], [2, 1], [3, 2], [4, 1], [6, 4], [10, 1], [12, 1]], 91/3583180800], [[[1, 2], [2, 1], [3, 2], [4, 1], [7, 1], [12, 1], [14, 1]], 1/32256], [[[1, 2], [2, 1], [3, 2], [4, 1], [8, 1], [10, 2], [12, 1]], 11/44236800], [[[1, 2], [2, 1], [3, 2], [4, 1], [8, 1], [12, 1], [15, 1]], 11/2211840], [[[1, 2], [2, 1], [3, 2], [4, 1], [8, 1], [12, 1], [16, 1]], 5/73728], [[[1, 2], [2, 1], [3, 2], [4, 1], [8, 1], [12, 1], [20, 1]], 43/1474560], [[[1, 2], [2, 1], [3, 2], [4, 1], [8, 1], [12, 1], [24, 1]], 793/589824], [[[1, 2], [2, 1], [3, 2], [4, 1], [8, 1], [12, 1], [30, 1]], 11/2211840], [[[1, 2], [2, 1], [3, 2], [4, 1], [8, 2], [10, 1], [12, 1]], 1/4423680], [[[1, 2], [2, 1], [3, 2], [4, 1], [9, 1], [12, 1], [18, 1]], 1/41472], [[[1, 2], [2, 1], [3, 2], [4, 1], [10, 1], [12, 1], [15, 1]], 1/691200], [[[1, 2], [2, 1], [3, 2], [4, 1], [10, 1], [12, 1], [20, 1]], 1/460800], [[[1, 2], [2, 1], [3, 2], [4, 1], [10, 1], [12, 1], [24, 1]], 1/552960], [[[1, 2], [2, 1], [3, 2], [4, 1], [10, 1], [12, 1], [30, 1]], 1/691200], [[[1, 2], [2, 1], [3, 2], [4, 2], [5, 1], [9, 1], [12, 1]], 1/233280], [[[1, 2], [2, 1], [3, 2], [4, 2], [5, 2], [6, 1], [12, 1]], 1/24883200], [[[1, 2], [2, 1], [3, 2], [4, 2], [6, 1], [8, 1], [12, 2]], 1/1990656], [[[1, 2], [2, 1], [3, 2], [4, 2], [6, 1], [8, 1], [16, 1]], 1/147456], [[[1, 2], [2, 1], [3, 2], [4, 2], [6, 1], [8, 2], [12, 1]], 13/7962624], [[[1, 2], [2, 1], [3, 2], [4, 2], [6, 1], [9, 1], [18, 1]], 7/839808], [[[1, 2], [2, 1], [3, 2], [4, 2], [6, 1], [10, 1], [12, 2]], 1/2488320], [[[1, 2], [2, 1], [3, 2], [4, 2], [6, 1], [10, 2], [12, 1]], 1/24883200], [[[1, 2], [2, 1], [3, 2], [4, 2], [6, 1], [12, 1], [15, 1]], 1/1244160], [[[1, 2], [2, 1], [3, 2], [4, 2], [6, 1], [12, 1], [20, 1]], 13/829440], [[[1, 2], [2, 1], [3, 2], [4, 2], [6, 1], [12, 1], [24, 1]], 7/995328], [[[1, 2], [2, 1], [3, 2], [4, 2], [6, 1], [12, 1], [30, 1]], 1/1244160], [[[1, 2], [2, 1], [3, 2], [4, 2], [6, 2], [7, 1], [12, 1]], 73/3483648], [[[1, 2], [2, 1], [3, 2], [4, 2], [6, 2], [9, 1], [12, 1]], 619/53747712], [[[1, 2], [2, 1], [3, 2], [4, 2], [6, 2], [12, 1], [14, 1]], 73/6967296], [[[1, 2], [2, 1], [3, 2], [4, 2], [6, 2], [12, 1], [18, 1]], 77/8957952], [[[1, 2], [2, 1], [3, 2], [4, 2], [6, 3], [8, 1], [12, 1]], 73/11943936], [[[1, 2], [2, 1], [3, 2], [4, 2], [6, 3], [10, 1], [12, 1]], 73/14929920], [[[1, 2], [2, 1], [3, 2], [4, 2], [8, 1], [9, 1], [12, 1]], 1/373248], [[[1, 2], [2, 1], [3, 2], [4, 3], [5, 1], [6, 2], [12, 1]], 73/9953280], [[[1, 2], [2, 1], [3, 2], [4, 3], [6, 1], [8, 1], [9, 1]], 1/124416], [[[1, 2], [2, 1], [3, 2], [4, 3], [6, 1], [9, 1], [12, 1]], 19/559872], [[[1, 2], [2, 1], [3, 2], [4, 3], [6, 1], [12, 1], [18, 1]], 1/23887872], [[[1, 2], [2, 1], [3, 2], [4, 3], [6, 2], [8, 1], [12, 1]], 827/31850496], [[[1, 2], [2, 1], [3, 2], [4, 3], [6, 2], [10, 1], [12, 1]], 73/9953280], [[[1, 2], [2, 1], [3, 2], [4, 4], [6, 1], [8, 1], [12, 1]], 1/1274019840], [[[1, 2], [2, 1], [3, 2], [4, 4], [6, 1], [10, 1], [12, 1]], 1/1592524800], [[[1, 2], [2, 1], [3, 2], [5, 1], [6, 1], [9, 1], [18, 1]], 7/43740], [[[1, 2], [2, 1], [3, 2], [5, 1], [6, 2], [9, 1], [12, 1]], 1/933120], [[[1, 2], [2, 1], [3, 2], [5, 2], [6, 1], [8, 1], [12, 1]], 1/16588800], [[[1, 2], [2, 1], [3, 2], [5, 2], [6, 1], [10, 1], [12, 1]], 1/20736000], [[[1, 2], [2, 1], [3, 2], [6, 1], [7, 1], [12, 1], [18, 1]], 1/435456], [[[1, 2], [2, 1], [3, 2], [6, 1], [8, 1], [9, 1], [18, 1]], 7/69984], [[[1, 2], [2, 1], [3, 2], [6, 1], [8, 1], [10, 2], [12, 1]], 1/16588800], [[[1, 2], [2, 1], [3, 2], [6, 1], [8, 1], [12, 1], [15, 1]], 1/829440], [[[1, 2], [2, 1], [3, 2], [6, 1], [8, 1], [12, 1], [20, 1]], 1/552960], [[[1, 2], [2, 1], [3, 2], [6, 1], [8, 1], [12, 1], [24, 1]], 1/663552], [[[1, 2], [2, 1], [3, 2], [6, 1], [8, 1], [12, 1], [30, 1]], 1/829440], [[[1, 2], [2, 1], [3, 2], [6, 1], [8, 2], [10, 1], [12, 1]], 1/6635520], [[[1, 2], [2, 1], [3, 2], [6, 1], [9, 1], [12, 1], [18, 1]], 113/839808], [[[1, 2], [2, 1], [3, 2], [6, 1], [10, 1], [12, 1], [15, 1]], 1/1036800], [[[1, 2], [2, 1], [3, 2], [6, 1], [10, 1], [12, 1], [20, 1]], 1/691200], [[[1, 2], [2, 1], [3, 2], [6, 1], [10, 1], [12, 1], [24, 1]], 1/829440], [[[1, 2], [2, 1], [3, 2], [6, 1], [10, 1], [12, 1], [30, 1]], 1/1036800], [[[1, 2], [2, 1], [3, 2], [6, 1], [12, 1], [14, 1], [18, 1]], 1/870912], [[[1, 2], [2, 1], [3, 2], [6, 2], [8, 1], [9, 1], [12, 1]], 1/1492992], [[[1, 2], [2, 1], [3, 2], [6, 2], [8, 1], [12, 1], [18, 1]], 1/1492992], [[[1, 2], [2, 1], [3, 2], [6, 2], [10, 1], [12, 1], [18, 1]], 1/1866240], [[[1, 2], [2, 1], [3, 3], [4, 1], [5, 1], [6, 2], [9, 1]], 1/7464960], [[[1, 2], [2, 1], [3, 3], [4, 1], [5, 1], [6, 3], [10, 1]], 1/414720], [[[1, 2], [2, 1], [3, 3], [4, 1], [5, 1], [9, 1], [12, 1]], 1/1244160], [[[1, 2], [2, 1], [3, 3], [4, 1], [5, 2], [6, 1], [12, 1]], 1/24883200], [[[1, 2], [2, 1], [3, 3], [4, 1], [6, 1], [8, 1], [12, 2]], 1/82944], [[[1, 2], [2, 1], [3, 3], [4, 1], [6, 1], [8, 2], [12, 1]], 1/7962624], [[[1, 2], [2, 1], [3, 3], [4, 1], [6, 1], [10, 2], [12, 1]], 1/24883200], [[[1, 2], [2, 1], [3, 3], [4, 1], [6, 1], [12, 1], [15, 1]], 1/1244160], [[[1, 2], [2, 1], [3, 3], [4, 1], [6, 1], [12, 1], [16, 1]], 1/55296], [[[1, 2], [2, 1], [3, 3], [4, 1], [6, 1], [12, 1], [20, 1]], 1/829440], [[[1, 2], [2, 1], [3, 3], [4, 1], [6, 1], [12, 1], [24, 1]], 19/995328], [[[1, 2], [2, 1], [3, 3], [4, 1], [6, 1], [12, 1], [30, 1]], 1/1244160], [[[1, 2], [2, 1], [3, 3], [4, 1], [6, 2], [8, 1], [9, 1]], 11/23887872], [[[1, 2], [2, 1], [3, 3], [4, 1], [6, 2], [9, 1], [10, 1]], 1/7464960], [[[1, 2], [2, 1], [3, 3], [4, 1], [6, 2], [9, 1], [12, 1]], 73/4478976], [[[1, 2], [2, 1], [3, 3], [4, 1], [6, 2], [12, 1], [18, 1]], 1/2239488], [[[1, 2], [2, 1], [3, 3], [4, 1], [6, 3], [8, 1], [12, 1]], 1/497664], [[[1, 2], [2, 1], [3, 3], [4, 1], [8, 1], [9, 1], [12, 1]], 11/3981312], [[[1, 2], [2, 1], [3, 3], [4, 1], [9, 1], [10, 1], [12, 1]], 1/1244160], [[[1, 2], [2, 1], [3, 3], [4, 2], [5, 1], [6, 2], [12, 1]], 73/7464960], [[[1, 2], [2, 1], [3, 3], [4, 2], [6, 1], [9, 1], [12, 1]], 1/2239488], [[[1, 2], [2, 1], [3, 3], [4, 2], [6, 1], [12, 1], [18, 1]], 59/483729408], [[[1, 2], [2, 1], [3, 3], [4, 2], [6, 2], [8, 1], [12, 1]], 73/11943936], [[[1, 2], [2, 1], [3, 3], [4, 3], [6, 1], [8, 1], [12, 1]], 1/663552], [[[1, 2], [2, 1], [3, 3], [5, 1], [6, 1], [12, 1], [18, 1]], 1/933120], [[[1, 2], [2, 1], [3, 3], [6, 1], [8, 1], [9, 1], [12, 1]], 1/1492992], [[[1, 2], [2, 1], [3, 3], [6, 1], [8, 1], [12, 1], [18, 1]], 1/1492992], [[[1, 2], [2, 1], [3, 3], [6, 1], [9, 1], [10, 1], [12, 1]], 1/1866240], [[[1, 2], [2, 1], [3, 4], [4, 1], [5, 1], [6, 1], [18, 1]], 1/671846400], [[[1, 2], [2, 1], [3, 4], [4, 1], [5, 1], [6, 2], [12, 1]], 91/3583180800], [[[1, 2], [2, 1], [3, 4], [4, 1], [5, 1], [8, 1], [10, 1]], 1/24883200], [[[1, 2], [2, 1], [3, 4], [4, 1], [6, 1], [8, 1], [18, 1]], 11/2149908480], [[[1, 2], [2, 1], [3, 4], [4, 1], [6, 1], [9, 1], [12, 1]], 1/2239488], [[[1, 2], [2, 1], [3, 4], [4, 1], [6, 1], [10, 1], [18, 1]], 1/671846400], [[[1, 2], [2, 1], [3, 4], [4, 1], [6, 1], [12, 1], [18, 1]], 1/403107840], [[[1, 2], [2, 1], [3, 4], [4, 1], [6, 2], [8, 1], [12, 1]], 1001/11466178560], [[[1, 2], [2, 1], [3, 4], [4, 1], [6, 2], [10, 1], [12, 1]], 91/3583180800], [[[1, 2], [2, 1], [3, 4], [4, 2], [6, 1], [8, 1], [12, 1]], 1/1074954240], [[[1, 2], [2, 1], [3, 4], [4, 2], [6, 1], [10, 1], [12, 1]], 1/1343692800], [[[1, 2], [2, 1], [3, 5], [4, 1], [5, 1], [6, 1], [10, 1]], 1/37324800], [[[1, 2], [2, 1], [3, 5], [4, 1], [6, 1], [8, 1], [12, 1]], 1/44789760], [[[1, 2], [2, 1], [4, 1], [5, 1], [6, 1], [8, 2], [18, 1]], 1/829440], [[[1, 2], [2, 1], [4, 1], [5, 1], [6, 1], [10, 2], [18, 1]], 1/2592000], [[[1, 2], [2, 1], [4, 1], [5, 1], [6, 1], [12, 2], [18, 1]], 1/1244160], [[[1, 2], [2, 1], [4, 1], [5, 1], [6, 1], [15, 1], [18, 1]], 1/129600], [[[1, 2], [2, 1], [4, 1], [5, 1], [6, 1], [18, 1], [20, 1]], 1/86400], [[[1, 2], [2, 1], [4, 1], [5, 1], [6, 1], [18, 1], [24, 1]], 1/103680], [[[1, 2], [2, 1], [4, 1], [5, 1], [6, 1], [18, 1], [30, 1]], 1/129600], [[[1, 2], [2, 1], [4, 1], [5, 1], [6, 2], [8, 2], [12, 1]], 1/4423680], [[[1, 2], [2, 1], [4, 1], [5, 1], [6, 2], [10, 2], [12, 1]], 1/13824000], [[[1, 2], [2, 1], [4, 1], [5, 1], [6, 2], [12, 1], [15, 1]], 1/691200], [[[1, 2], [2, 1], [4, 1], [5, 1], [6, 2], [12, 1], [20, 1]], 1/460800], [[[1, 2], [2, 1], [4, 1], [5, 1], [6, 2], [12, 1], [24, 1]], 1/552960], [[[1, 2], [2, 1], [4, 1], [5, 1], [6, 2], [12, 1], [30, 1]], 1/691200], [[[1, 2], [2, 1], [4, 1], [5, 1], [6, 3], [12, 1], [18, 1]], 1/1244160], [[[1, 2], [2, 1], [4, 1], [5, 1], [6, 4], [8, 1], [10, 1]], 1/24883200], [[[1, 2], [2, 1], [4, 1], [5, 1], [8, 1], [10, 1], [12, 2]], 1/46080], [[[1, 2], [2, 1], [4, 1], [5, 1], [8, 1], [10, 1], [15, 1]], 1/4800], [[[1, 2], [2, 1], [4, 1], [5, 1], [8, 1], [10, 1], [20, 1]], 1/3200], [[[1, 2], [2, 1], [4, 1], [5, 1], [8, 1], [10, 1], [24, 1]], 1/3840], [[[1, 2], [2, 1], [4, 1], [5, 1], [8, 1], [10, 1], [30, 1]], 1/4800], [[[1, 2], [2, 1], [4, 1], [5, 2], [6, 1], [8, 1], [18, 1]], 11/8294400], [[[1, 2], [2, 1], [4, 1], [5, 2], [6, 1], [10, 1], [18, 1]], 1/2592000], [[[1, 2], [2, 1], [4, 1], [5, 2], [6, 1], [12, 1], [18, 1]], 1/1555200], [[[1, 2], [2, 1], [4, 1], [5, 2], [6, 2], [8, 1], [12, 1]], 11/44236800], [[[1, 2], [2, 1], [4, 1], [5, 2], [6, 2], [10, 1], [12, 1]], 1/13824000], [[[1, 2], [2, 1], [4, 1], [6, 1], [7, 1], [14, 1], [18, 1]], 1/6048], [[[1, 2], [2, 1], [4, 1], [6, 1], [8, 1], [10, 2], [18, 1]], 11/8294400], [[[1, 2], [2, 1], [4, 1], [6, 1], [8, 1], [12, 2], [18, 1]], 11/3981312], [[[1, 2], [2, 1], [4, 1], [6, 1], [8, 1], [15, 1], [18, 1]], 11/414720], [[[1, 2], [2, 1], [4, 1], [6, 1], [8, 1], [16, 1], [18, 1]], 5/13824], [[[1, 2], [2, 1], [4, 1], [6, 1], [8, 1], [18, 1], [20, 1]], 43/276480], [[[1, 2], [2, 1], [4, 1], [6, 1], [8, 1], [18, 1], [24, 1]], 25/110592], [[[1, 2], [2, 1], [4, 1], [6, 1], [8, 1], [18, 1], [30, 1]], 11/414720], [[[1, 2], [2, 1], [4, 1], [6, 1], [8, 2], [10, 1], [18, 1]], 1/829440], [[[1, 2], [2, 1], [4, 1], [6, 1], [8, 2], [12, 1], [18, 1]], 1/497664], [[[1, 2], [2, 1], [4, 1], [6, 1], [10, 1], [12, 2], [18, 1]], 1/1244160], [[[1, 2], [2, 1], [4, 1], [6, 1], [10, 1], [15, 1], [18, 1]], 1/129600], [[[1, 2], [2, 1], [4, 1], [6, 1], [10, 1], [18, 1], [20, 1]], 1/86400], [[[1, 2], [2, 1], [4, 1], [6, 1], [10, 1], [18, 1], [24, 1]], 1/103680], [[[1, 2], [2, 1], [4, 1], [6, 1], [10, 1], [18, 1], [30, 1]], 1/129600], [[[1, 2], [2, 1], [4, 1], [6, 1], [10, 2], [12, 1], [18, 1]], 1/1555200], [[[1, 2], [2, 1], [4, 1], [6, 1], [12, 1], [15, 1], [18, 1]], 1/77760], [[[1, 2], [2, 1], [4, 1], [6, 1], [12, 1], [16, 1], [18, 1]], 1/10368], [[[1, 2], [2, 1], [4, 1], [6, 1], [12, 1], [18, 1], [20, 1]], 1/10368], [[[1, 2], [2, 1], [4, 1], [6, 1], [12, 1], [18, 1], [24, 1]], 7/62208], [[[1, 2], [2, 1], [4, 1], [6, 1], [12, 1], [18, 1], [30, 1]], 1/77760], [[[1, 2], [2, 1], [4, 1], [6, 2], [7, 1], [12, 1], [14, 1]], 1/32256], [[[1, 2], [2, 1], [4, 1], [6, 2], [8, 1], [10, 2], [12, 1]], 11/44236800], [[[1, 2], [2, 1], [4, 1], [6, 2], [8, 1], [12, 1], [15, 1]], 11/2211840], [[[1, 2], [2, 1], [4, 1], [6, 2], [8, 1], [12, 1], [16, 1]], 5/73728], [[[1, 2], [2, 1], [4, 1], [6, 2], [8, 1], [12, 1], [20, 1]], 43/1474560], [[[1, 2], [2, 1], [4, 1], [6, 2], [8, 1], [12, 1], [24, 1]], 25/589824], [[[1, 2], [2, 1], [4, 1], [6, 2], [8, 1], [12, 1], [30, 1]], 11/2211840], [[[1, 2], [2, 1], [4, 1], [6, 2], [8, 2], [10, 1], [12, 1]], 1/4423680], [[[1, 2], [2, 1], [4, 1], [6, 2], [9, 1], [12, 1], [18, 1]], 1/41472], [[[1, 2], [2, 1], [4, 1], [6, 2], [10, 1], [12, 1], [15, 1]], 1/691200], [[[1, 2], [2, 1], [4, 1], [6, 2], [10, 1], [12, 1], [20, 1]], 1/460800], [[[1, 2], [2, 1], [4, 1], [6, 2], [10, 1], [12, 1], [24, 1]], 1/552960], [[[1, 2], [2, 1], [4, 1], [6, 2], [10, 1], [12, 1], [30, 1]], 1/691200], [[[1, 2], [2, 1], [4, 1], [6, 3], [8, 1], [12, 1], [18, 1]], 11/3981312], [[[1, 2], [2, 1], [4, 1], [6, 3], [10, 1], [12, 1], [18, 1]], 1/1244160], [[[1, 2], [2, 1], [4, 2], [5, 2], [6, 1], [8, 1], [12, 1]], 1/4147200], [[[1, 2], [2, 1], [4, 2], [5, 2], [6, 1], [10, 1], [12, 1]], 1/5184000], [[[1, 2], [2, 1], [4, 2], [6, 1], [7, 1], [12, 1], [18, 1]], 1/108864], [[[1, 2], [2, 1], [4, 2], [6, 1], [8, 1], [10, 1], [16, 1]], 1/30720], [[[1, 2], [2, 1], [4, 2], [6, 1], [8, 1], [10, 2], [12, 1]], 1/4147200], [[[1, 2], [2, 1], [4, 2], [6, 1], [8, 1], [12, 1], [15, 1]], 1/207360], [[[1, 2], [2, 1], [4, 2], [6, 1], [8, 1], [12, 1], [16, 1]], 1/24576], [[[1, 2], [2, 1], [4, 2], [6, 1], [8, 1], [12, 1], [20, 1]], 13/138240], [[[1, 2], [2, 1], [4, 2], [6, 1], [8, 1], [12, 1], [24, 1]], 7/165888], [[[1, 2], [2, 1], [4, 2], [6, 1], [8, 1], [12, 1], [30, 1]], 1/207360], [[[1, 2], [2, 1], [4, 2], [6, 1], [8, 2], [10, 1], [12, 1]], 13/1658880], [[[1, 2], [2, 1], [4, 2], [6, 1], [9, 1], [12, 1], [18, 1]], 1/209952], [[[1, 2], [2, 1], [4, 2], [6, 1], [10, 1], [12, 1], [15, 1]], 1/259200], [[[1, 2], [2, 1], [4, 2], [6, 1], [10, 1], [12, 1], [20, 1]], 13/172800], [[[1, 2], [2, 1], [4, 2], [6, 1], [10, 1], [12, 1], [24, 1]], 7/207360], [[[1, 2], [2, 1], [4, 2], [6, 1], [10, 1], [12, 1], [30, 1]], 1/259200], [[[1, 2], [2, 1], [4, 2], [6, 1], [12, 1], [14, 1], [18, 1]], 1/217728], [[[1, 2], [2, 1], [4, 2], [6, 2], [8, 1], [12, 1], [18, 1]], 1/373248], [[[1, 2], [2, 1], [4, 2], [6, 2], [10, 1], [12, 1], [18, 1]], 1/466560], [[[1, 2], [2, 1], [4, 3], [5, 1], [6, 1], [12, 1], [18, 1]], 1/311040], [[[1, 2], [2, 1], [4, 3], [5, 1], [8, 1], [10, 1], [12, 1]], 1/11520], [[[1, 2], [2, 1], [4, 3], [6, 1], [8, 1], [12, 1], [18, 1]], 35/995328], [[[1, 2], [2, 1], [4, 3], [6, 1], [10, 1], [12, 1], [18, 1]], 1/311040], [[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2], [8, 2]], 1/4423680], [[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2], [10, 2]], 1921/13824000], [[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2], [12, 2]], 1/442368], [[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2], [15, 1]], 1/691200], [[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2], [20, 1]], 1/460800], [[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2], [24, 1]], 1/552960], [[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2], [30, 1]], 1/691200], [[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [6, 3], [9, 1]], 1/8398080], [[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [6, 3], [18, 1]], 1/1244160], [[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [6, 4], [8, 1]], 1/149299200], [[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [6, 4], [10, 1]], 1601/746496000], [[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [6, 4], [12, 1]], 277/1791590400], [[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [7, 1], [9, 1]], 1/120960], [[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [7, 1], [14, 1]], 1/6720], [[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [8, 1], [10, 2]], 1/576000], [[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [8, 1], [12, 2]], 1/276480], [[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [8, 1], [15, 1]], 1/28800], [[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [8, 1], [16, 1]], 1/3072], [[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [8, 1], [20, 1]], 1/6400], [[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [8, 1], [24, 1]], 1/4608], [[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [8, 1], [30, 1]], 1/28800], [[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [8, 2], [10, 1]], 121/921600], [[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [8, 2], [12, 1]], 7/2211840], [[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [9, 1], [14, 1]], 1/60480], [[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [9, 1], [18, 1]], 29/233280], [[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [10, 1], [12, 2]], 1/1382400], [[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [10, 1], [15, 1]], 1/144000], [[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [10, 1], [20, 1]], 1/96000], [[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [10, 1], [24, 1]], 1/115200], [[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [10, 1], [30, 1]], 1/144000], [[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [10, 2], [12, 1]], 7/6912000], [[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [12, 1], [15, 1]], 7/345600], [[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [12, 1], [16, 1]], 1/11520], [[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [12, 1], [20, 1]], 23/230400], [[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [12, 1], [24, 1]], 31/276480], [[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [12, 1], [30, 1]], 7/345600], [[[1, 2], [2, 3], [3, 1], [4, 1], [5, 2], [6, 1], [7, 1]], 1/2419200], [[[1, 2], [2, 3], [3, 1], [4, 1], [5, 2], [6, 1], [9, 1]], 7/12441600], [[[1, 2], [2, 3], [3, 1], [4, 1], [5, 2], [6, 1], [14, 1]], 1/1209600], [[[1, 2], [2, 3], [3, 1], [4, 1], [5, 2], [6, 1], [18, 1]], 167/37324800], [[[1, 2], [2, 3], [3, 1], [4, 1], [5, 2], [6, 2], [8, 1]], 11/22118400], [[[1, 2], [2, 3], [3, 1], [4, 1], [5, 2], [6, 2], [10, 1]], 19/41472000], [[[1, 2], [2, 3], [3, 1], [4, 1], [5, 2], [6, 2], [12, 1]], 239/199065600], [[[1, 2], [2, 3], [3, 1], [4, 1], [5, 2], [8, 1], [10, 1]], 241/2304000], [[[1, 2], [2, 3], [3, 1], [4, 1], [5, 2], [8, 1], [12, 1]], 1/442368], [[[1, 2], [2, 3], [3, 1], [4, 1], [5, 2], [10, 1], [12, 1]], 1/2304000], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 1], [7, 1], [8, 2]], 1/774144], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 1], [7, 1], [10, 2]], 1/2419200], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 1], [7, 1], [12, 2]], 37/1161216], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 1], [7, 1], [15, 1]], 1/120960], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 1], [7, 1], [16, 1]], 1/5376], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 1], [7, 1], [20, 1]], 1/80640], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 1], [7, 1], [24, 1]], 19/96768], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 1], [7, 1], [30, 1]], 1/120960], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 1], [8, 2], [9, 1]], 73/3981312], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 1], [8, 2], [14, 1]], 1/387072], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 1], [8, 2], [18, 1]], 221/11943936], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 1], [9, 1], [10, 2]], 103/12441600], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 1], [9, 1], [12, 2]], 215/5971968], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 1], [9, 1], [15, 1]], 7/622080], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 1], [9, 1], [16, 1]], 1/6912], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 1], [9, 1], [20, 1]], 7/414720], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 1], [9, 1], [24, 1]], 79/497664], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 1], [9, 1], [30, 1]], 7/622080], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 1], [10, 2], [14, 1]], 1/1209600], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 1], [10, 2], [18, 1]], 23/37324800], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 1], [12, 2], [14, 1]], 37/580608], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 1], [12, 2], [18, 1]], 743/17915904], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 1], [14, 1], [15, 1]], 1/60480], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 1], [14, 1], [16, 1]], 1/2688], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 1], [14, 1], [20, 1]], 1/40320], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 1], [14, 1], [24, 1]], 19/48384], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 1], [14, 1], [30, 1]], 1/60480], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 1], [15, 1], [18, 1]], 23/1866240], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 1], [16, 1], [18, 1]], 1/5184], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 1], [18, 1], [20, 1]], 23/1244160], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 1], [18, 1], [24, 1]], 311/1492992], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 1], [18, 1], [30, 1]], 23/1866240], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 2], [7, 1], [14, 1]], 1/32256], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 2], [7, 1], [18, 1]], 1/217728], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 2], [8, 1], [10, 2]], 11/22118400], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 2], [8, 1], [12, 2]], 1277/10616832], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 2], [8, 1], [15, 1]], 11/1105920], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 2], [8, 1], [16, 1]], 13/73728], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 2], [8, 1], [20, 1]], 3/81920], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 2], [8, 1], [24, 1]], 139/884736], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 2], [8, 1], [30, 1]], 11/1105920], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 2], [8, 2], [10, 1]], 19/13271040], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 2], [8, 2], [12, 1]], 4901/63700992], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 2], [9, 1], [18, 1]], 115/1119744], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 2], [10, 1], [12, 2]], 613/19906560], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 2], [10, 1], [15, 1]], 19/2073600], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 2], [10, 1], [16, 1]], 1/5760], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 2], [10, 1], [20, 1]], 19/1382400], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 2], [10, 1], [24, 1]], 307/1658880], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 2], [10, 1], [30, 1]], 19/2073600], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 2], [10, 2], [12, 1]], 19/39813120], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 2], [12, 1], [15, 1]], 19/1990656], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 2], [12, 1], [16, 1]], 1/6144], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 2], [12, 1], [20, 1]], 191/6635520], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 2], [12, 1], [24, 1]], 1391/7962624], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 2], [12, 1], [30, 1]], 19/1990656], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 2], [14, 1], [18, 1]], 1/108864], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 3], [7, 1], [12, 1]], 1/1161216], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 3], [8, 1], [9, 1]], 11/26873856], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 3], [8, 1], [18, 1]], 11/1990656], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 3], [9, 1], [10, 1]], 1/8398080], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 3], [9, 1], [12, 1]], 46877/161243136], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 3], [10, 1], [18, 1]], 19/3732480], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 3], [12, 1], [14, 1]], 1/580608], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 3], [12, 1], [18, 1]], 5221/5971968], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 4], [8, 1], [10, 1]], 1/597196800], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 4], [8, 1], [12, 1]], 541/191102976], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 4], [10, 1], [12, 1]], 571/597196800], [[[1, 2], [2, 3], [3, 1], [4, 1], [7, 1], [8, 1], [9, 1]], 1/32256], [[[1, 2], [2, 3], [3, 1], [4, 1], [7, 1], [8, 1], [14, 1]], 1/5376], [[[1, 2], [2, 3], [3, 1], [4, 1], [7, 1], [9, 1], [10, 1]], 1/120960], [[[1, 2], [2, 3], [3, 1], [4, 1], [7, 1], [9, 1], [12, 1]], 1/72576], [[[1, 2], [2, 3], [3, 1], [4, 1], [7, 1], [12, 1], [14, 1]], 1/5376], [[[1, 2], [2, 3], [3, 1], [4, 1], [8, 1], [9, 1], [14, 1]], 11/193536], [[[1, 2], [2, 3], [3, 1], [4, 1], [8, 1], [9, 1], [18, 1]], 65/373248], [[[1, 2], [2, 3], [3, 1], [4, 1], [8, 1], [10, 1], [12, 2]], 1/1105920], [[[1, 2], [2, 3], [3, 1], [4, 1], [8, 1], [10, 1], [15, 1]], 1/115200], [[[1, 2], [2, 3], [3, 1], [4, 1], [8, 1], [10, 1], [20, 1]], 1/76800], [[[1, 2], [2, 3], [3, 1], [4, 1], [8, 1], [10, 1], [24, 1]], 1/92160], [[[1, 2], [2, 3], [3, 1], [4, 1], [8, 1], [10, 1], [30, 1]], 1/115200], [[[1, 2], [2, 3], [3, 1], [4, 1], [8, 1], [10, 2], [12, 1]], 1/442368], [[[1, 2], [2, 3], [3, 1], [4, 1], [8, 1], [12, 1], [15, 1]], 5/110592], [[[1, 2], [2, 3], [3, 1], [4, 1], [8, 1], [12, 1], [16, 1]], 19/36864], [[[1, 2], [2, 3], [3, 1], [4, 1], [8, 1], [12, 1], [20, 1]], 7/24576], [[[1, 2], [2, 3], [3, 1], [4, 1], [8, 1], [12, 1], [24, 1]], 169/442368], [[[1, 2], [2, 3], [3, 1], [4, 1], [8, 1], [12, 1], [30, 1]], 5/110592], [[[1, 2], [2, 3], [3, 1], [4, 1], [8, 2], [10, 1], [12, 1]], 1/737280], [[[1, 2], [2, 3], [3, 1], [4, 1], [9, 1], [10, 1], [14, 1]], 1/60480], [[[1, 2], [2, 3], [3, 1], [4, 1], [9, 1], [10, 1], [18, 1]], 1/116640], [[[1, 2], [2, 3], [3, 1], [4, 1], [9, 1], [12, 1], [14, 1]], 1/36288], [[[1, 2], [2, 3], [3, 1], [4, 1], [9, 1], [12, 1], [18, 1]], 89/559872], [[[1, 2], [2, 3], [3, 1], [4, 1], [10, 1], [12, 1], [15, 1]], 1/115200], [[[1, 2], [2, 3], [3, 1], [4, 1], [10, 1], [12, 1], [20, 1]], 1/76800], [[[1, 2], [2, 3], [3, 1], [4, 1], [10, 1], [12, 1], [24, 1]], 1/92160], [[[1, 2], [2, 3], [3, 1], [4, 1], [10, 1], [12, 1], [30, 1]], 1/115200], [[[1, 2], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [8, 2]], 7/6635520], [[[1, 2], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [10, 2]], 2167/20736000], [[[1, 2], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [12, 2]], 263/9953280], [[[1, 2], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [15, 1]], 7/1036800], [[[1, 2], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [16, 1]], 1/7680], [[[1, 2], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [20, 1]], 7/691200], [[[1, 2], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [24, 1]], 23/165888], [[[1, 2], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [30, 1]], 7/1036800], [[[1, 2], [2, 3], [3, 1], [4, 2], [5, 1], [6, 2], [18, 1]], 7/1866240], [[[1, 2], [2, 3], [3, 1], [4, 2], [5, 1], [6, 3], [12, 1]], 209/268738560], [[[1, 2], [2, 3], [3, 1], [4, 2], [5, 1], [7, 1], [12, 1]], 1/241920], [[[1, 2], [2, 3], [3, 1], [4, 2], [5, 1], [8, 1], [9, 1]], 11/552960], [[[1, 2], [2, 3], [3, 1], [4, 2], [5, 1], [9, 1], [10, 1]], 11/172800], [[[1, 2], [2, 3], [3, 1], [4, 2], [5, 1], [9, 1], [12, 1]], 1/69120], [[[1, 2], [2, 3], [3, 1], [4, 2], [5, 1], [12, 1], [14, 1]], 1/80640], [[[1, 2], [2, 3], [3, 1], [4, 2], [5, 1], [12, 1], [18, 1]], 1/186624], [[[1, 2], [2, 3], [3, 1], [4, 2], [5, 2], [6, 1], [8, 1]], 89/16588800], [[[1, 2], [2, 3], [3, 1], [4, 2], [5, 2], [6, 1], [10, 1]], 4333/41472000], [[[1, 2], [2, 3], [3, 1], [4, 2], [5, 2], [6, 1], [12, 1]], 83/6635520], [[[1, 2], [2, 3], [3, 1], [4, 2], [6, 1], [7, 1], [9, 1]], 1/870912], [[[1, 2], [2, 3], [3, 1], [4, 2], [6, 1], [7, 1], [14, 1]], 1/8064], [[[1, 2], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1], [10, 2]], 89/16588800], [[[1, 2], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1], [12, 2]], 1891/7962624], [[[1, 2], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1], [15, 1]], 89/829440], [[[1, 2], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1], [16, 1]], 29/36864], [[[1, 2], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1], [20, 1]], 137/552960], [[[1, 2], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1], [24, 1]], 241/331776], [[[1, 2], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1], [30, 1]], 89/829440], [[[1, 2], [2, 3], [3, 1], [4, 2], [6, 1], [8, 2], [10, 1]], 13/13271040], [[[1, 2], [2, 3], [3, 1], [4, 2], [6, 1], [8, 2], [12, 1]], 3839/10616832], [[[1, 2], [2, 3], [3, 1], [4, 2], [6, 1], [9, 1], [14, 1]], 1/1741824], [[[1, 2], [2, 3], [3, 1], [4, 2], [6, 1], [9, 1], [18, 1]], 637/4478976], [[[1, 2], [2, 3], [3, 1], [4, 2], [6, 1], [10, 1], [12, 2]], 557/19906560], [[[1, 2], [2, 3], [3, 1], [4, 2], [6, 1], [10, 1], [15, 1]], 13/2073600], [[[1, 2], [2, 3], [3, 1], [4, 2], [6, 1], [10, 1], [16, 1]], 1/7680], [[[1, 2], [2, 3], [3, 1], [4, 2], [6, 1], [10, 1], [20, 1]], 13/1382400], [[[1, 2], [2, 3], [3, 1], [4, 2], [6, 1], [10, 1], [24, 1]], 229/1658880], [[[1, 2], [2, 3], [3, 1], [4, 2], [6, 1], [10, 1], [30, 1]], 13/2073600], [[[1, 2], [2, 3], [3, 1], [4, 2], [6, 1], [10, 2], [12, 1]], 83/6635520], [[[1, 2], [2, 3], [3, 1], [4, 2], [6, 1], [12, 1], [15, 1]], 83/331776], [[[1, 2], [2, 3], [3, 1], [4, 2], [6, 1], [12, 1], [16, 1]], 1/3456], [[[1, 2], [2, 3], [3, 1], [4, 2], [6, 1], [12, 1], [20, 1]], 71/122880], [[[1, 2], [2, 3], [3, 1], [4, 2], [6, 1], [12, 1], [24, 1]], 911/1327104], [[[1, 2], [2, 3], [3, 1], [4, 2], [6, 1], [12, 1], [30, 1]], 83/331776], [[[1, 2], [2, 3], [3, 1], [4, 2], [6, 1], [14, 1], [18, 1]], 1/1741824], [[[1, 2], [2, 3], [3, 1], [4, 2], [6, 2], [7, 1], [12, 1]], 1/1161216], [[[1, 2], [2, 3], [3, 1], [4, 2], [6, 2], [8, 1], [9, 1]], 1/2985984], [[[1, 2], [2, 3], [3, 1], [4, 2], [6, 2], [8, 1], [18, 1]], 89/1492992], [[[1, 2], [2, 3], [3, 1], [4, 2], [6, 2], [9, 1], [10, 1]], 1/3732480], [[[1, 2], [2, 3], [3, 1], [4, 2], [6, 2], [9, 1], [12, 1]], 1765/859963392], [[[1, 2], [2, 3], [3, 1], [4, 2], [6, 2], [10, 1], [18, 1]], 13/3732480], [[[1, 2], [2, 3], [3, 1], [4, 2], [6, 2], [12, 1], [14, 1]], 59/27869184], [[[1, 2], [2, 3], [3, 1], [4, 2], [6, 2], [12, 1], [18, 1]], 15047/107495424], [[[1, 2], [2, 3], [3, 1], [4, 2], [6, 3], [8, 1], [12, 1]], 2527/214990848], [[[1, 2], [2, 3], [3, 1], [4, 2], [6, 3], [10, 1], [12, 1]], 19/11943936], [[[1, 2], [2, 3], [3, 1], [4, 2], [7, 1], [8, 1], [12, 1]], 1/193536], [[[1, 2], [2, 3], [3, 1], [4, 2], [8, 1], [9, 1], [10, 1]], 11/552960], [[[1, 2], [2, 3], [3, 1], [4, 2], [8, 1], [9, 1], [12, 1]], 131/1492992], [[[1, 2], [2, 3], [3, 1], [4, 2], [8, 1], [12, 1], [14, 1]], 1/96768], [[[1, 2], [2, 3], [3, 1], [4, 2], [8, 1], [12, 1], [18, 1]], 1/186624], [[[1, 2], [2, 3], [3, 1], [4, 2], [9, 1], [10, 1], [12, 1]], 23/1866240], [[[1, 2], [2, 3], [3, 1], [4, 3], [5, 1], [6, 1], [9, 1]], 1/2488320], [[[1, 2], [2, 3], [3, 1], [4, 3], [5, 1], [6, 1], [18, 1]], 1/4976640], [[[1, 2], [2, 3], [3, 1], [4, 3], [5, 1], [6, 2], [10, 1]], 1/138240], [[[1, 2], [2, 3], [3, 1], [4, 3], [5, 1], [6, 2], [12, 1]], 17/26542080], [[[1, 2], [2, 3], [3, 1], [4, 3], [5, 1], [8, 1], [12, 1]], 1/27648], [[[1, 2], [2, 3], [3, 1], [4, 3], [5, 1], [10, 1], [12, 1]], 1/345600], [[[1, 2], [2, 3], [3, 1], [4, 3], [6, 1], [7, 1], [8, 1]], 1/64512], [[[1, 2], [2, 3], [3, 1], [4, 3], [6, 1], [7, 1], [12, 1]], 19/290304], [[[1, 2], [2, 3], [3, 1], [4, 3], [6, 1], [8, 1], [9, 1]], 109/7962624], [[[1, 2], [2, 3], [3, 1], [4, 3], [6, 1], [8, 1], [14, 1]], 1/32256], [[[1, 2], [2, 3], [3, 1], [4, 3], [6, 1], [8, 1], [18, 1]], 131/7962624], [[[1, 2], [2, 3], [3, 1], [4, 3], [6, 1], [9, 1], [10, 1]], 1/1244160], [[[1, 2], [2, 3], [3, 1], [4, 3], [6, 1], [9, 1], [12, 1]], 161/2985984], [[[1, 2], [2, 3], [3, 1], [4, 3], [6, 1], [12, 1], [14, 1]], 19/145152], [[[1, 2], [2, 3], [3, 1], [4, 3], [6, 1], [12, 1], [18, 1]], 2497/35831808], [[[1, 2], [2, 3], [3, 1], [4, 3], [6, 2], [8, 1], [10, 1]], 1/69120], [[[1, 2], [2, 3], [3, 1], [4, 3], [6, 2], [8, 1], [12, 1]], 2675/42467328], [[[1, 2], [2, 3], [3, 1], [4, 3], [6, 2], [10, 1], [12, 1]], 307/4976640], [[[1, 2], [2, 3], [3, 1], [4, 3], [8, 1], [10, 1], [12, 1]], 1/276480], [[[1, 2], [2, 3], [3, 1], [4, 4], [5, 1], [6, 1], [8, 1]], 2881/265420800], [[[1, 2], [2, 3], [3, 1], [4, 4], [5, 1], [6, 1], [10, 1]], 611/110592000], [[[1, 2], [2, 3], [3, 1], [4, 4], [5, 1], [6, 1], [12, 1]], 7361/159252480], [[[1, 2], [2, 3], [3, 1], [4, 4], [6, 1], [8, 1], [10, 1]], 1441/132710400], [[[1, 2], [2, 3], [3, 1], [4, 4], [6, 1], [8, 1], [12, 1]], 149447/637009920], [[[1, 2], [2, 3], [3, 1], [4, 4], [6, 1], [10, 1], [12, 1]], 36647/796262400], [[[1, 2], [2, 3], [3, 1], [5, 1], [6, 1], [7, 1], [18, 1]], 1/181440], [[[1, 2], [2, 3], [3, 1], [5, 1], [6, 1], [8, 1], [10, 2]], 1/3456000], [[[1, 2], [2, 3], [3, 1], [5, 1], [6, 1], [8, 1], [12, 2]], 1/1658880], [[[1, 2], [2, 3], [3, 1], [5, 1], [6, 1], [8, 1], [15, 1]], 1/172800], [[[1, 2], [2, 3], [3, 1], [5, 1], [6, 1], [8, 1], [20, 1]], 1/115200], [[[1, 2], [2, 3], [3, 1], [5, 1], [6, 1], [8, 1], [24, 1]], 1/138240], [[[1, 2], [2, 3], [3, 1], [5, 1], [6, 1], [8, 1], [30, 1]], 1/172800], [[[1, 2], [2, 3], [3, 1], [5, 1], [6, 1], [8, 2], [10, 1]], 11/460800], [[[1, 2], [2, 3], [3, 1], [5, 1], [6, 1], [8, 2], [12, 1]], 1/663552], [[[1, 2], [2, 3], [3, 1], [5, 1], [6, 1], [9, 1], [18, 1]], 1/15552], [[[1, 2], [2, 3], [3, 1], [5, 1], [6, 1], [10, 1], [12, 2]], 11/691200], [[[1, 2], [2, 3], [3, 1], [5, 1], [6, 1], [10, 1], [15, 1]], 11/72000], [[[1, 2], [2, 3], [3, 1], [5, 1], [6, 1], [10, 1], [20, 1]], 11/48000], [[[1, 2], [2, 3], [3, 1], [5, 1], [6, 1], [10, 1], [24, 1]], 11/57600], [[[1, 2], [2, 3], [3, 1], [5, 1], [6, 1], [10, 1], [30, 1]], 11/72000], [[[1, 2], [2, 3], [3, 1], [5, 1], [6, 1], [10, 2], [12, 1]], 1/2073600], [[[1, 2], [2, 3], [3, 1], [5, 1], [6, 1], [12, 1], [15, 1]], 1/103680], [[[1, 2], [2, 3], [3, 1], [5, 1], [6, 1], [12, 1], [20, 1]], 1/69120], [[[1, 2], [2, 3], [3, 1], [5, 1], [6, 1], [12, 1], [24, 1]], 1/82944], [[[1, 2], [2, 3], [3, 1], [5, 1], [6, 1], [12, 1], [30, 1]], 1/103680], [[[1, 2], [2, 3], [3, 1], [5, 1], [6, 1], [14, 1], [18, 1]], 1/60480], [[[1, 2], [2, 3], [3, 1], [5, 1], [6, 2], [7, 1], [12, 1]], 1/967680], [[[1, 2], [2, 3], [3, 1], [5, 1], [6, 2], [8, 1], [18, 1]], 1/311040], [[[1, 2], [2, 3], [3, 1], [5, 1], [6, 2], [9, 1], [12, 1]], 1/829440], [[[1, 2], [2, 3], [3, 1], [5, 1], [6, 2], [10, 1], [18, 1]], 11/129600], [[[1, 2], [2, 3], [3, 1], [5, 1], [6, 2], [12, 1], [14, 1]], 1/322560], [[[1, 2], [2, 3], [3, 1], [5, 1], [6, 2], [12, 1], [18, 1]], 5/746496], [[[1, 2], [2, 3], [3, 1], [5, 1], [6, 3], [8, 1], [12, 1]], 1/1658880], [[[1, 2], [2, 3], [3, 1], [5, 1], [6, 3], [10, 1], [12, 1]], 11/691200], [[[1, 2], [2, 3], [3, 1], [5, 2], [6, 1], [8, 1], [10, 1]], 1/1728000], [[[1, 2], [2, 3], [3, 1], [5, 2], [6, 1], [8, 1], [12, 1]], 7/8294400], [[[1, 2], [2, 3], [3, 1], [5, 2], [6, 1], [10, 1], [12, 1]], 7/10368000], [[[1, 2], [2, 3], [3, 1], [6, 1], [7, 1], [8, 1], [9, 1]], 1/145152], [[[1, 2], [2, 3], [3, 1], [6, 1], [7, 1], [8, 1], [18, 1]], 1/145152], [[[1, 2], [2, 3], [3, 1], [6, 1], [7, 1], [9, 1], [10, 1]], 1/60480], [[[1, 2], [2, 3], [3, 1], [6, 1], [7, 1], [9, 1], [12, 1]], 5/435456], [[[1, 2], [2, 3], [3, 1], [6, 1], [7, 1], [12, 1], [18, 1]], 1/145152], [[[1, 2], [2, 3], [3, 1], [6, 1], [8, 1], [9, 1], [14, 1]], 1/72576], [[[1, 2], [2, 3], [3, 1], [6, 1], [8, 1], [9, 1], [18, 1]], 7/69984], [[[1, 2], [2, 3], [3, 1], [6, 1], [8, 1], [10, 1], [12, 2]], 1/829440], [[[1, 2], [2, 3], [3, 1], [6, 1], [8, 1], [10, 1], [15, 1]], 1/86400], [[[1, 2], [2, 3], [3, 1], [6, 1], [8, 1], [10, 1], [20, 1]], 1/57600], [[[1, 2], [2, 3], [3, 1], [6, 1], [8, 1], [10, 1], [24, 1]], 1/69120], [[[1, 2], [2, 3], [3, 1], [6, 1], [8, 1], [10, 1], [30, 1]], 1/86400], [[[1, 2], [2, 3], [3, 1], [6, 1], [8, 1], [10, 2], [12, 1]], 7/8294400], [[[1, 2], [2, 3], [3, 1], [6, 1], [8, 1], [12, 1], [15, 1]], 7/414720], [[[1, 2], [2, 3], [3, 1], [6, 1], [8, 1], [12, 1], [20, 1]], 7/276480], [[[1, 2], [2, 3], [3, 1], [6, 1], [8, 1], [12, 1], [24, 1]], 7/331776], [[[1, 2], [2, 3], [3, 1], [6, 1], [8, 1], [12, 1], [30, 1]], 7/414720], [[[1, 2], [2, 3], [3, 1], [6, 1], [8, 1], [14, 1], [18, 1]], 1/72576], [[[1, 2], [2, 3], [3, 1], [6, 1], [8, 2], [10, 1], [12, 1]], 7/3317760], [[[1, 2], [2, 3], [3, 1], [6, 1], [9, 1], [10, 1], [14, 1]], 1/60480], [[[1, 2], [2, 3], [3, 1], [6, 1], [9, 1], [10, 1], [18, 1]], 77/699840], [[[1, 2], [2, 3], [3, 1], [6, 1], [9, 1], [12, 1], [14, 1]], 1/62208], [[[1, 2], [2, 3], [3, 1], [6, 1], [9, 1], [12, 1], [18, 1]], 1/69984], [[[1, 2], [2, 3], [3, 1], [6, 1], [10, 1], [12, 1], [15, 1]], 7/518400], [[[1, 2], [2, 3], [3, 1], [6, 1], [10, 1], [12, 1], [20, 1]], 7/345600], [[[1, 2], [2, 3], [3, 1], [6, 1], [10, 1], [12, 1], [24, 1]], 7/414720], [[[1, 2], [2, 3], [3, 1], [6, 1], [10, 1], [12, 1], [30, 1]], 7/518400], [[[1, 2], [2, 3], [3, 1], [6, 1], [12, 1], [14, 1], [18, 1]], 1/62208], [[[1, 2], [2, 3], [3, 1], [6, 2], [7, 1], [8, 1], [12, 1]], 1/774144], [[[1, 2], [2, 3], [3, 1], [6, 2], [8, 1], [9, 1], [10, 1]], 1/155520], [[[1, 2], [2, 3], [3, 1], [6, 2], [8, 1], [9, 1], [12, 1]], 83/11943936], [[[1, 2], [2, 3], [3, 1], [6, 2], [8, 1], [10, 1], [18, 1]], 1/155520], [[[1, 2], [2, 3], [3, 1], [6, 2], [8, 1], [12, 1], [14, 1]], 1/387072], [[[1, 2], [2, 3], [3, 1], [6, 2], [8, 1], [12, 1], [18, 1]], 1/93312], [[[1, 2], [2, 3], [3, 1], [6, 2], [9, 1], [10, 1], [12, 1]], 61/7464960], [[[1, 2], [2, 3], [3, 1], [6, 2], [10, 1], [12, 1], [18, 1]], 7/933120], [[[1, 2], [2, 3], [3, 1], [6, 3], [8, 1], [10, 1], [12, 1]], 1/829440], [[[1, 2], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1], [8, 2]], 1/1105920], [[[1, 2], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1], [10, 2]], 1/3456000], [[[1, 2], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1], [12, 2]], 1/61440], [[[1, 2], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1], [15, 1]], 1/172800], [[[1, 2], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1], [16, 1]], 1/11520], [[[1, 2], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1], [20, 1]], 1/115200], [[[1, 2], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1], [24, 1]], 13/138240], [[[1, 2], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1], [30, 1]], 1/172800], [[[1, 2], [2, 3], [3, 2], [4, 1], [5, 1], [6, 2], [7, 1]], 1/3870720], [[[1, 2], [2, 3], [3, 2], [4, 1], [5, 1], [6, 2], [9, 1]], 1/995328], [[[1, 2], [2, 3], [3, 2], [4, 1], [5, 1], [6, 2], [14, 1]], 1/1935360], [[[1, 2], [2, 3], [3, 2], [4, 1], [5, 1], [6, 2], [18, 1]], 13/3732480], [[[1, 2], [2, 3], [3, 2], [4, 1], [5, 1], [6, 3], [8, 1]], 1/6635520], [[[1, 2], [2, 3], [3, 2], [4, 1], [5, 1], [6, 3], [10, 1]], 61/4147200], [[[1, 2], [2, 3], [3, 2], [4, 1], [5, 1], [6, 3], [12, 1]], 37/44789760], [[[1, 2], [2, 3], [3, 2], [4, 1], [5, 1], [7, 1], [12, 1]], 1/645120], [[[1, 2], [2, 3], [3, 2], [4, 1], [5, 1], [8, 1], [9, 1]], 1/51840], [[[1, 2], [2, 3], [3, 2], [4, 1], [5, 1], [9, 1], [10, 1]], 1/259200], [[[1, 2], [2, 3], [3, 2], [4, 1], [5, 1], [9, 1], [12, 1]], 31/2488320], [[[1, 2], [2, 3], [3, 2], [4, 1], [5, 1], [12, 1], [14, 1]], 1/322560], [[[1, 2], [2, 3], [3, 2], [4, 1], [5, 1], [12, 1], [18, 1]], 1/622080], [[[1, 2], [2, 3], [3, 2], [4, 1], [5, 2], [6, 1], [8, 1]], 19/33177600], [[[1, 2], [2, 3], [3, 2], [4, 1], [5, 2], [6, 1], [10, 1]], 721/10368000], [[[1, 2], [2, 3], [3, 2], [4, 1], [5, 2], [6, 1], [12, 1]], 89/199065600], [[[1, 2], [2, 3], [3, 2], [4, 1], [6, 1], [7, 1], [9, 1]], 1/217728], [[[1, 2], [2, 3], [3, 2], [4, 1], [6, 1], [7, 1], [14, 1]], 1/24192], [[[1, 2], [2, 3], [3, 2], [4, 1], [6, 1], [8, 1], [10, 2]], 19/33177600], [[[1, 2], [2, 3], [3, 2], [4, 1], [6, 1], [8, 1], [12, 2]], 1549/15925248], [[[1, 2], [2, 3], [3, 2], [4, 1], [6, 1], [8, 1], [15, 1]], 19/1658880], [[[1, 2], [2, 3], [3, 2], [4, 1], [6, 1], [8, 1], [16, 1]], 11/55296], [[[1, 2], [2, 3], [3, 2], [4, 1], [6, 1], [8, 1], [20, 1]], 17/368640], [[[1, 2], [2, 3], [3, 2], [4, 1], [6, 1], [8, 1], [24, 1]], 227/1327104], [[[1, 2], [2, 3], [3, 2], [4, 1], [6, 1], [8, 1], [30, 1]], 19/1658880], [[[1, 2], [2, 3], [3, 2], [4, 1], [6, 1], [8, 2], [10, 1]], 1/3317760], [[[1, 2], [2, 3], [3, 2], [4, 1], [6, 1], [8, 2], [12, 1]], 4895/63700992], [[[1, 2], [2, 3], [3, 2], [4, 1], [6, 1], [9, 1], [14, 1]], 1/108864], [[[1, 2], [2, 3], [3, 2], [4, 1], [6, 1], [9, 1], [18, 1]], 5/52488], [[[1, 2], [2, 3], [3, 2], [4, 1], [6, 1], [10, 1], [12, 2]], 19/4976640], [[[1, 2], [2, 3], [3, 2], [4, 1], [6, 1], [10, 1], [15, 1]], 1/518400], [[[1, 2], [2, 3], [3, 2], [4, 1], [6, 1], [10, 1], [20, 1]], 1/345600], [[[1, 2], [2, 3], [3, 2], [4, 1], [6, 1], [10, 1], [24, 1]], 1/414720], [[[1, 2], [2, 3], [3, 2], [4, 1], [6, 1], [10, 1], [30, 1]], 1/518400], [[[1, 2], [2, 3], [3, 2], [4, 1], [6, 1], [10, 2], [12, 1]], 377/199065600], [[[1, 2], [2, 3], [3, 2], [4, 1], [6, 1], [12, 1], [15, 1]], 89/9953280], [[[1, 2], [2, 3], [3, 2], [4, 1], [6, 1], [12, 1], [16, 1]], 11/82944], [[[1, 2], [2, 3], [3, 2], [4, 1], [6, 1], [12, 1], [20, 1]], 217/6635520], [[[1, 2], [2, 3], [3, 2], [4, 1], [6, 1], [12, 1], [24, 1]], 1145/7962624], [[[1, 2], [2, 3], [3, 2], [4, 1], [6, 1], [12, 1], [30, 1]], 89/9953280], [[[1, 2], [2, 3], [3, 2], [4, 1], [6, 2], [7, 1], [8, 1]], 1/1032192], [[[1, 2], [2, 3], [3, 2], [4, 1], [6, 2], [7, 1], [10, 1]], 1/3870720], [[[1, 2], [2, 3], [3, 2], [4, 1], [6, 2], [7, 1], [12, 1]], 73/2322432], [[[1, 2], [2, 3], [3, 2], [4, 1], [6, 2], [8, 1], [9, 1]], 149/23887872], [[[1, 2], [2, 3], [3, 2], [4, 1], [6, 2], [8, 1], [14, 1]], 11/6193152], [[[1, 2], [2, 3], [3, 2], [4, 1], [6, 2], [8, 1], [18, 1]], 29/3981312], [[[1, 2], [2, 3], [3, 2], [4, 1], [6, 2], [9, 1], [10, 1]], 79/14929920], [[[1, 2], [2, 3], [3, 2], [4, 1], [6, 2], [9, 1], [12, 1]], 31637/17915904], [[[1, 2], [2, 3], [3, 2], [4, 1], [6, 2], [10, 1], [14, 1]], 1/1935360], [[[1, 2], [2, 3], [3, 2], [4, 1], [6, 2], [10, 1], [18, 1]], 1/746496], [[[1, 2], [2, 3], [3, 2], [4, 1], [6, 2], [12, 1], [14, 1]], 73/1161216], [[[1, 2], [2, 3], [3, 2], [4, 1], [6, 2], [12, 1], [18, 1]], 31777/17915904], [[[1, 2], [2, 3], [3, 2], [4, 1], [6, 3], [8, 1], [10, 1]], 13/13271040], [[[1, 2], [2, 3], [3, 2], [4, 1], [6, 3], [8, 1], [12, 1]], 4637/143327232], [[[1, 2], [2, 3], [3, 2], [4, 1], [6, 3], [10, 1], [12, 1]], 1333/44789760], [[[1, 2], [2, 3], [3, 2], [4, 1], [7, 1], [8, 1], [12, 1]], 1/172032], [[[1, 2], [2, 3], [3, 2], [4, 1], [7, 1], [10, 1], [12, 1]], 1/645120], [[[1, 2], [2, 3], [3, 2], [4, 1], [8, 1], [9, 1], [10, 1]], 1/207360], [[[1, 2], [2, 3], [3, 2], [4, 1], [8, 1], [9, 1], [12, 1]], 13/442368], [[[1, 2], [2, 3], [3, 2], [4, 1], [8, 1], [12, 1], [14, 1]], 11/1032192], [[[1, 2], [2, 3], [3, 2], [4, 1], [8, 1], [12, 1], [18, 1]], 11/1990656], [[[1, 2], [2, 3], [3, 2], [4, 1], [9, 1], [10, 1], [12, 1]], 1/165888], [[[1, 2], [2, 3], [3, 2], [4, 1], [10, 1], [12, 1], [14, 1]], 1/322560], [[[1, 2], [2, 3], [3, 2], [4, 1], [10, 1], [12, 1], [18, 1]], 1/622080], [[[1, 2], [2, 3], [3, 2], [4, 2], [5, 1], [6, 1], [9, 1]], 7/1866240], [[[1, 2], [2, 3], [3, 2], [4, 2], [5, 1], [6, 2], [8, 1]], 11/17694720], [[[1, 2], [2, 3], [3, 2], [4, 2], [5, 1], [6, 2], [10, 1]], 331/5529600], [[[1, 2], [2, 3], [3, 2], [4, 2], [5, 1], [6, 2], [12, 1]], 173/6635520], [[[1, 2], [2, 3], [3, 2], [4, 2], [5, 1], [8, 1], [12, 1]], 163/26542080], [[[1, 2], [2, 3], [3, 2], [4, 2], [5, 1], [10, 1], [12, 1]], 11/921600], [[[1, 2], [2, 3], [3, 2], [4, 2], [6, 1], [7, 1], [12, 1]], 23/13934592], [[[1, 2], [2, 3], [3, 2], [4, 2], [6, 1], [8, 1], [9, 1]], 89/1492992], [[[1, 2], [2, 3], [3, 2], [4, 2], [6, 1], [9, 1], [10, 1]], 13/3732480], [[[1, 2], [2, 3], [3, 2], [4, 2], [6, 1], [9, 1], [12, 1]], 941/6718464], [[[1, 2], [2, 3], [3, 2], [4, 2], [6, 1], [12, 1], [14, 1]], 59/27869184], [[[1, 2], [2, 3], [3, 2], [4, 2], [6, 1], [12, 1], [18, 1]], 559/286654464], [[[1, 2], [2, 3], [3, 2], [4, 2], [6, 2], [8, 1], [10, 1]], 11/17694720], [[[1, 2], [2, 3], [3, 2], [4, 2], [6, 2], [8, 1], [12, 1]], 197/1492992], [[[1, 2], [2, 3], [3, 2], [4, 2], [6, 2], [10, 1], [12, 1]], 869/29859840], [[[1, 2], [2, 3], [3, 2], [4, 2], [8, 1], [10, 1], [12, 1]], 11/2949120], [[[1, 2], [2, 3], [3, 2], [4, 3], [5, 1], [6, 1], [8, 1]], 1/138240], [[[1, 2], [2, 3], [3, 2], [4, 3], [5, 1], [6, 1], [12, 1]], 139/4423680], [[[1, 2], [2, 3], [3, 2], [4, 3], [6, 1], [8, 1], [12, 1]], 7175/127401984], [[[1, 2], [2, 3], [3, 2], [4, 3], [6, 1], [10, 1], [12, 1]], 19/19906560], [[[1, 2], [2, 3], [3, 2], [5, 1], [6, 1], [8, 1], [9, 1]], 1/311040], [[[1, 2], [2, 3], [3, 2], [5, 1], [6, 1], [8, 1], [18, 1]], 1/311040], [[[1, 2], [2, 3], [3, 2], [5, 1], [6, 1], [9, 1], [10, 1]], 11/129600], [[[1, 2], [2, 3], [3, 2], [5, 1], [6, 1], [9, 1], [12, 1]], 1/186624], [[[1, 2], [2, 3], [3, 2], [5, 1], [6, 1], [12, 1], [18, 1]], 1/276480], [[[1, 2], [2, 3], [3, 2], [5, 1], [6, 2], [8, 1], [12, 1]], 1/1658880], [[[1, 2], [2, 3], [3, 2], [6, 1], [7, 1], [8, 1], [12, 1]], 1/774144], [[[1, 2], [2, 3], [3, 2], [6, 1], [7, 1], [10, 1], [12, 1]], 1/322560], [[[1, 2], [2, 3], [3, 2], [6, 1], [8, 1], [9, 1], [10, 1]], 1/155520], [[[1, 2], [2, 3], [3, 2], [6, 1], [8, 1], [9, 1], [12, 1]], 31/2985984], [[[1, 2], [2, 3], [3, 2], [6, 1], [8, 1], [12, 1], [14, 1]], 1/387072], [[[1, 2], [2, 3], [3, 2], [6, 1], [8, 1], [12, 1], [18, 1]], 71/11943936], [[[1, 2], [2, 3], [3, 2], [6, 1], [9, 1], [10, 1], [12, 1]], 7/746496], [[[1, 2], [2, 3], [3, 2], [6, 1], [10, 1], [12, 1], [14, 1]], 1/322560], [[[1, 2], [2, 3], [3, 2], [6, 1], [10, 1], [12, 1], [18, 1]], 19/7464960], [[[1, 2], [2, 3], [3, 2], [6, 2], [8, 1], [10, 1], [12, 1]], 1/829440], [[[1, 2], [2, 3], [3, 3], [4, 1], [5, 1], [6, 1], [9, 1]], 1/311040], [[[1, 2], [2, 3], [3, 3], [4, 1], [5, 1], [6, 1], [18, 1]], 1/11197440], [[[1, 2], [2, 3], [3, 3], [4, 1], [5, 1], [6, 2], [8, 1]], 1/1658880], [[[1, 2], [2, 3], [3, 3], [4, 1], [5, 1], [6, 2], [10, 1]], 161/8294400], [[[1, 2], [2, 3], [3, 3], [4, 1], [5, 1], [6, 2], [12, 1]], 179/11943936], [[[1, 2], [2, 3], [3, 3], [4, 1], [5, 1], [8, 1], [10, 1]], 1/414720], [[[1, 2], [2, 3], [3, 3], [4, 1], [5, 1], [8, 1], [12, 1]], 1/276480], [[[1, 2], [2, 3], [3, 3], [4, 1], [5, 1], [10, 1], [12, 1]], 1/1382400], [[[1, 2], [2, 3], [3, 3], [4, 1], [6, 1], [7, 1], [12, 1]], 1/1161216], [[[1, 2], [2, 3], [3, 3], [4, 1], [6, 1], [8, 1], [9, 1]], 19/2985984], [[[1, 2], [2, 3], [3, 3], [4, 1], [6, 1], [8, 1], [18, 1]], 17/53747712], [[[1, 2], [2, 3], [3, 3], [4, 1], [6, 1], [9, 1], [10, 1]], 1/933120], [[[1, 2], [2, 3], [3, 3], [4, 1], [6, 1], [9, 1], [12, 1]], 101/17915904], [[[1, 2], [2, 3], [3, 3], [4, 1], [6, 1], [10, 1], [18, 1]], 1/11197440], [[[1, 2], [2, 3], [3, 3], [4, 1], [6, 1], [12, 1], [14, 1]], 1/580608], [[[1, 2], [2, 3], [3, 3], [4, 1], [6, 1], [12, 1], [18, 1]], 77/53747712], [[[1, 2], [2, 3], [3, 3], [4, 1], [6, 2], [8, 1], [10, 1]], 1/6635520], [[[1, 2], [2, 3], [3, 3], [4, 1], [6, 2], [8, 1], [12, 1]], 10331/286654464], [[[1, 2], [2, 3], [3, 3], [4, 1], [6, 2], [10, 1], [12, 1]], 67/59719680], [[[1, 2], [2, 3], [3, 3], [4, 1], [8, 1], [10, 1], [12, 1]], 1/1105920], [[[1, 2], [2, 3], [3, 3], [4, 2], [5, 1], [6, 1], [12, 1]], 41/29859840], [[[1, 2], [2, 3], [3, 3], [4, 2], [6, 1], [8, 1], [12, 1]], 853/71663616], [[[1, 2], [2, 3], [3, 3], [4, 2], [6, 1], [10, 1], [12, 1]], 407/537477120], [[[1, 2], [2, 3], [3, 3], [5, 1], [6, 1], [8, 1], [12, 1]], 1/1658880], [[[1, 2], [2, 3], [3, 3], [5, 1], [6, 1], [10, 1], [12, 1]], 11/691200], [[[1, 2], [2, 3], [3, 3], [6, 1], [8, 1], [10, 1], [12, 1]], 1/829440], [[[1, 2], [2, 3], [3, 4], [4, 1], [5, 1], [6, 1], [8, 1]], 1/597196800], [[[1, 2], [2, 3], [3, 4], [4, 1], [5, 1], [6, 1], [10, 1]], 601/373248000], [[[1, 2], [2, 3], [3, 4], [4, 1], [5, 1], [6, 1], [12, 1]], 271/447897600], [[[1, 2], [2, 3], [3, 4], [4, 1], [6, 1], [8, 1], [10, 1]], 13/1194393600], [[[1, 2], [2, 3], [3, 4], [4, 1], [6, 1], [8, 1], [12, 1]], 1/393216], [[[1, 2], [2, 3], [3, 4], [4, 1], [6, 1], [10, 1], [12, 1]], 31/149299200], [[[1, 2], [2, 3], [4, 1], [5, 1], [6, 1], [7, 1], [18, 1]], 1/120960], [[[1, 2], [2, 3], [4, 1], [5, 1], [6, 1], [8, 1], [10, 2]], 481/2304000], [[[1, 2], [2, 3], [4, 1], [5, 1], [6, 1], [8, 1], [12, 2]], 1/1105920], [[[1, 2], [2, 3], [4, 1], [5, 1], [6, 1], [8, 1], [15, 1]], 1/115200], [[[1, 2], [2, 3], [4, 1], [5, 1], [6, 1], [8, 1], [20, 1]], 1/76800], [[[1, 2], [2, 3], [4, 1], [5, 1], [6, 1], [8, 1], [24, 1]], 1/92160], [[[1, 2], [2, 3], [4, 1], [5, 1], [6, 1], [8, 1], [30, 1]], 1/115200], [[[1, 2], [2, 3], [4, 1], [5, 1], [6, 1], [8, 2], [10, 1]], 61/460800], [[[1, 2], [2, 3], [4, 1], [5, 1], [6, 1], [8, 2], [12, 1]], 1/552960], [[[1, 2], [2, 3], [4, 1], [5, 1], [6, 1], [9, 1], [18, 1]], 1/155520], [[[1, 2], [2, 3], [4, 1], [5, 1], [6, 1], [10, 1], [12, 2]], 1/691200], [[[1, 2], [2, 3], [4, 1], [5, 1], [6, 1], [10, 1], [15, 1]], 1/72000], [[[1, 2], [2, 3], [4, 1], [5, 1], [6, 1], [10, 1], [20, 1]], 1/48000], [[[1, 2], [2, 3], [4, 1], [5, 1], [6, 1], [10, 1], [24, 1]], 1/57600], [[[1, 2], [2, 3], [4, 1], [5, 1], [6, 1], [10, 1], [30, 1]], 1/72000], [[[1, 2], [2, 3], [4, 1], [5, 1], [6, 1], [10, 2], [12, 1]], 1/1728000], [[[1, 2], [2, 3], [4, 1], [5, 1], [6, 1], [12, 1], [15, 1]], 1/86400], [[[1, 2], [2, 3], [4, 1], [5, 1], [6, 1], [12, 1], [20, 1]], 1/57600], [[[1, 2], [2, 3], [4, 1], [5, 1], [6, 1], [12, 1], [24, 1]], 1/69120], [[[1, 2], [2, 3], [4, 1], [5, 1], [6, 1], [12, 1], [30, 1]], 1/86400], [[[1, 2], [2, 3], [4, 1], [5, 1], [6, 1], [14, 1], [18, 1]], 1/60480], [[[1, 2], [2, 3], [4, 1], [5, 1], [6, 2], [7, 1], [12, 1]], 1/645120], [[[1, 2], [2, 3], [4, 1], [5, 1], [6, 2], [8, 1], [18, 1]], 1/207360], [[[1, 2], [2, 3], [4, 1], [5, 1], [6, 2], [9, 1], [12, 1]], 1/829440], [[[1, 2], [2, 3], [4, 1], [5, 1], [6, 2], [10, 1], [18, 1]], 1/129600], [[[1, 2], [2, 3], [4, 1], [5, 1], [6, 2], [12, 1], [14, 1]], 1/322560], [[[1, 2], [2, 3], [4, 1], [5, 1], [6, 2], [12, 1], [18, 1]], 1/124416], [[[1, 2], [2, 3], [4, 1], [5, 1], [6, 3], [8, 1], [10, 1]], 1/311040], [[[1, 2], [2, 3], [4, 1], [5, 1], [6, 3], [8, 1], [12, 1]], 1/1105920], [[[1, 2], [2, 3], [4, 1], [5, 1], [6, 3], [10, 1], [12, 1]], 1/691200], [[[1, 2], [2, 3], [4, 1], [5, 1], [7, 1], [8, 1], [10, 1]], 1/4480], [[[1, 2], [2, 3], [4, 1], [5, 1], [8, 1], [9, 1], [10, 1]], 1/5760], [[[1, 2], [2, 3], [4, 1], [5, 1], [8, 1], [10, 1], [14, 1]], 1/2240], [[[1, 2], [2, 3], [4, 1], [5, 1], [8, 1], [10, 1], [18, 1]], 1/4320], [[[1, 2], [2, 3], [4, 1], [5, 2], [6, 1], [8, 1], [10, 1]], 13/4608000], [[[1, 2], [2, 3], [4, 1], [5, 2], [6, 1], [8, 1], [12, 1]], 1/368640], [[[1, 2], [2, 3], [4, 1], [5, 2], [6, 1], [10, 1], [12, 1]], 1/576000], [[[1, 2], [2, 3], [4, 1], [6, 1], [7, 1], [8, 1], [14, 1]], 1/5376], [[[1, 2], [2, 3], [4, 1], [6, 1], [7, 1], [8, 1], [18, 1]], 1/32256], [[[1, 2], [2, 3], [4, 1], [6, 1], [7, 1], [10, 1], [14, 1]], 1/3360], [[[1, 2], [2, 3], [4, 1], [6, 1], [7, 1], [10, 1], [18, 1]], 1/120960], [[[1, 2], [2, 3], [4, 1], [6, 1], [7, 1], [12, 1], [14, 1]], 1/4032], [[[1, 2], [2, 3], [4, 1], [6, 1], [7, 1], [12, 1], [18, 1]], 1/72576], [[[1, 2], [2, 3], [4, 1], [6, 1], [8, 1], [9, 1], [18, 1]], 125/746496], [[[1, 2], [2, 3], [4, 1], [6, 1], [8, 1], [10, 1], [12, 2]], 13/2211840], [[[1, 2], [2, 3], [4, 1], [6, 1], [8, 1], [10, 1], [15, 1]], 13/230400], [[[1, 2], [2, 3], [4, 1], [6, 1], [8, 1], [10, 1], [16, 1]], 1/1536], [[[1, 2], [2, 3], [4, 1], [6, 1], [8, 1], [10, 1], [20, 1]], 3/10240], [[[1, 2], [2, 3], [4, 1], [6, 1], [8, 1], [10, 1], [24, 1]], 77/184320], [[[1, 2], [2, 3], [4, 1], [6, 1], [8, 1], [10, 1], [30, 1]], 13/230400], [[[1, 2], [2, 3], [4, 1], [6, 1], [8, 1], [10, 2], [12, 1]], 1/368640], [[[1, 2], [2, 3], [4, 1], [6, 1], [8, 1], [12, 1], [15, 1]], 1/18432], [[[1, 2], [2, 3], [4, 1], [6, 1], [8, 1], [12, 1], [16, 1]], 1/1536], [[[1, 2], [2, 3], [4, 1], [6, 1], [8, 1], [12, 1], [20, 1]], 7/20480], [[[1, 2], [2, 3], [4, 1], [6, 1], [8, 1], [12, 1], [24, 1]], 103/221184], [[[1, 2], [2, 3], [4, 1], [6, 1], [8, 1], [12, 1], [30, 1]], 1/18432], [[[1, 2], [2, 3], [4, 1], [6, 1], [8, 1], [14, 1], [18, 1]], 11/193536], [[[1, 2], [2, 3], [4, 1], [6, 1], [8, 2], [10, 1], [12, 1]], 1/184320], [[[1, 2], [2, 3], [4, 1], [6, 1], [9, 1], [10, 1], [18, 1]], 37/155520], [[[1, 2], [2, 3], [4, 1], [6, 1], [9, 1], [12, 1], [18, 1]], 19/93312], [[[1, 2], [2, 3], [4, 1], [6, 1], [10, 1], [12, 1], [15, 1]], 1/28800], [[[1, 2], [2, 3], [4, 1], [6, 1], [10, 1], [12, 1], [16, 1]], 1/5760], [[[1, 2], [2, 3], [4, 1], [6, 1], [10, 1], [12, 1], [20, 1]], 11/57600], [[[1, 2], [2, 3], [4, 1], [6, 1], [10, 1], [12, 1], [24, 1]], 1/4608], [[[1, 2], [2, 3], [4, 1], [6, 1], [10, 1], [12, 1], [30, 1]], 1/28800], [[[1, 2], [2, 3], [4, 1], [6, 1], [10, 1], [14, 1], [18, 1]], 1/60480], [[[1, 2], [2, 3], [4, 1], [6, 1], [12, 1], [14, 1], [18, 1]], 1/36288], [[[1, 2], [2, 3], [4, 1], [6, 2], [7, 1], [8, 1], [12, 1]], 1/172032], [[[1, 2], [2, 3], [4, 1], [6, 2], [7, 1], [10, 1], [12, 1]], 1/645120], [[[1, 2], [2, 3], [4, 1], [6, 2], [8, 1], [9, 1], [12, 1]], 17/3981312], [[[1, 2], [2, 3], [4, 1], [6, 2], [8, 1], [10, 1], [18, 1]], 13/414720], [[[1, 2], [2, 3], [4, 1], [6, 2], [8, 1], [12, 1], [14, 1]], 11/1032192], [[[1, 2], [2, 3], [4, 1], [6, 2], [8, 1], [12, 1], [18, 1]], 71/1990656], [[[1, 2], [2, 3], [4, 1], [6, 2], [9, 1], [10, 1], [12, 1]], 1/829440], [[[1, 2], [2, 3], [4, 1], [6, 2], [10, 1], [12, 1], [14, 1]], 1/322560], [[[1, 2], [2, 3], [4, 1], [6, 2], [10, 1], [12, 1], [18, 1]], 13/622080], [[[1, 2], [2, 3], [4, 1], [6, 3], [8, 1], [10, 1], [12, 1]], 13/2211840], [[[1, 2], [2, 3], [4, 2], [5, 1], [6, 1], [8, 1], [18, 1]], 11/552960], [[[1, 2], [2, 3], [4, 2], [5, 1], [6, 1], [10, 1], [18, 1]], 11/172800], [[[1, 2], [2, 3], [4, 2], [5, 1], [6, 1], [12, 1], [18, 1]], 7/622080], [[[1, 2], [2, 3], [4, 2], [5, 1], [6, 2], [8, 1], [12, 1]], 11/2949120], [[[1, 2], [2, 3], [4, 2], [5, 1], [6, 2], [10, 1], [12, 1]], 11/921600], [[[1, 2], [2, 3], [4, 2], [5, 1], [8, 1], [10, 1], [12, 1]], 1/3840], [[[1, 2], [2, 3], [4, 2], [6, 1], [7, 1], [8, 1], [12, 1]], 1/193536], [[[1, 2], [2, 3], [4, 2], [6, 1], [7, 1], [10, 1], [12, 1]], 1/80640], [[[1, 2], [2, 3], [4, 2], [6, 1], [8, 1], [9, 1], [12, 1]], 1/248832], [[[1, 2], [2, 3], [4, 2], [6, 1], [8, 1], [10, 1], [18, 1]], 11/552960], [[[1, 2], [2, 3], [4, 2], [6, 1], [8, 1], [12, 1], [14, 1]], 1/96768], [[[1, 2], [2, 3], [4, 2], [6, 1], [8, 1], [12, 1], [18, 1]], 133/1492992], [[[1, 2], [2, 3], [4, 2], [6, 1], [9, 1], [10, 1], [12, 1]], 7/933120], [[[1, 2], [2, 3], [4, 2], [6, 1], [10, 1], [12, 1], [14, 1]], 1/80640], [[[1, 2], [2, 3], [4, 2], [6, 1], [10, 1], [12, 1], [18, 1]], 37/1866240], [[[1, 2], [2, 3], [4, 2], [6, 2], [8, 1], [10, 1], [12, 1]], 227/26542080], [[[1, 2], [2, 3], [4, 3], [5, 1], [6, 1], [8, 1], [10, 1]], 1/92160], [[[1, 2], [2, 3], [4, 3], [5, 1], [6, 1], [8, 1], [12, 1]], 1/276480], [[[1, 2], [2, 3], [4, 3], [5, 1], [6, 1], [10, 1], [12, 1]], 1/172800], [[[1, 2], [2, 3], [4, 3], [6, 1], [8, 1], [10, 1], [12, 1]], 37/552960], [[[1, 2], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [8, 2]], 1/491520], [[[1, 2], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [10, 2]], 193/4608000], [[[1, 2], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [12, 2]], 31/6635520], [[[1, 2], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [15, 1]], 1/230400], [[[1, 2], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [20, 1]], 1/153600], [[[1, 2], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [24, 1]], 1/184320], [[[1, 2], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [30, 1]], 1/230400], [[[1, 2], [2, 5], [3, 1], [4, 1], [5, 1], [6, 2], [9, 1]], 7/11197440], [[[1, 2], [2, 5], [3, 1], [4, 1], [5, 1], [6, 2], [14, 1]], 1/645120], [[[1, 2], [2, 5], [3, 1], [4, 1], [5, 1], [6, 2], [18, 1]], 7/2488320], [[[1, 2], [2, 5], [3, 1], [4, 1], [5, 1], [6, 3], [8, 1]], 19/119439360], [[[1, 2], [2, 5], [3, 1], [4, 1], [5, 1], [6, 3], [10, 1]], 7/583200], [[[1, 2], [2, 5], [3, 1], [4, 1], [5, 1], [6, 3], [12, 1]], 149/179159040], [[[1, 2], [2, 5], [3, 1], [4, 1], [5, 1], [7, 1], [8, 1]], 1/430080], [[[1, 2], [2, 5], [3, 1], [4, 1], [5, 1], [8, 1], [9, 1]], 11/3317760], [[[1, 2], [2, 5], [3, 1], [4, 1], [5, 1], [8, 1], [14, 1]], 17/430080], [[[1, 2], [2, 5], [3, 1], [4, 1], [5, 1], [8, 1], [18, 1]], 19/1658880], [[[1, 2], [2, 5], [3, 1], [4, 1], [5, 1], [9, 1], [10, 1]], 11/5184000], [[[1, 2], [2, 5], [3, 1], [4, 1], [5, 1], [10, 1], [14, 1]], 1/134400], [[[1, 2], [2, 5], [3, 1], [4, 1], [5, 1], [10, 1], [18, 1]], 1/518400], [[[1, 2], [2, 5], [3, 1], [4, 1], [5, 1], [12, 1], [14, 1]], 1/46080], [[[1, 2], [2, 5], [3, 1], [4, 1], [5, 1], [12, 1], [18, 1]], 7/1244160], [[[1, 2], [2, 5], [3, 1], [4, 1], [5, 2], [6, 1], [8, 1]], 11/13271040], [[[1, 2], [2, 5], [3, 1], [4, 1], [5, 2], [6, 1], [10, 1]], 203/51840000], [[[1, 2], [2, 5], [3, 1], [4, 1], [5, 2], [6, 1], [12, 1]], 187/99532800], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [7, 1], [9, 1]], 1/580608], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [7, 1], [14, 1]], 1/14112], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [7, 1], [18, 1]], 5/1741824], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1], [10, 2]], 343/66355200], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1], [12, 2]], 553/31850496], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1], [15, 1]], 11/663552], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1], [16, 1]], 11/73728], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1], [20, 1]], 151/2211840], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1], [24, 1]], 319/2654208], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1], [30, 1]], 11/663552], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [8, 2], [10, 1]], 293/16588800], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [8, 2], [12, 1]], 637/31850496], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [9, 1], [14, 1]], 1/72576], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [9, 1], [18, 1]], 1337/22394880], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [10, 1], [12, 2]], 223/12441600], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [10, 1], [15, 1]], 23/2592000], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [10, 1], [16, 1]], 11/230400], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [10, 1], [20, 1]], 23/1728000], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [10, 1], [24, 1]], 61/1036800], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [10, 1], [30, 1]], 23/2592000], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [10, 2], [12, 1]], 19/3981312], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [12, 1], [15, 1]], 43/4976640], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [12, 1], [16, 1]], 1/27648], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [12, 1], [20, 1]], 139/3317760], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [12, 1], [24, 1]], 187/3981312], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [12, 1], [30, 1]], 43/4976640], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [14, 1], [18, 1]], 1/62208], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 2], [7, 1], [8, 1]], 1/2064384], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 2], [7, 1], [10, 1]], 1/241920], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 2], [7, 1], [12, 1]], 17/9289728], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 2], [8, 1], [9, 1]], 271/71663616], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 2], [8, 1], [14, 1]], 23/2064384], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 2], [8, 1], [18, 1]], 295/23887872], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 2], [9, 1], [10, 1]], 79/11197440], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 2], [9, 1], [12, 1]], 19429/4299816960], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 2], [10, 1], [14, 1]], 1/71680], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 2], [10, 1], [18, 1]], 133/12441600], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 2], [12, 1], [14, 1]], 1/82944], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 2], [12, 1], [18, 1]], 53/5971968], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 3], [8, 1], [10, 1]], 125/23887872], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 3], [8, 1], [12, 1]], 3917/286654464], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 3], [10, 1], [12, 1]], 121/18662400], [[[1, 2], [2, 5], [3, 1], [4, 1], [7, 1], [8, 1], [12, 1]], 1/344064], [[[1, 2], [2, 5], [3, 1], [4, 1], [8, 1], [9, 1], [10, 1]], 73/8294400], [[[1, 2], [2, 5], [3, 1], [4, 1], [8, 1], [9, 1], [12, 1]], 13/3981312], [[[1, 2], [2, 5], [3, 1], [4, 1], [8, 1], [10, 1], [14, 1]], 1/107520], [[[1, 2], [2, 5], [3, 1], [4, 1], [8, 1], [10, 1], [18, 1]], 1/414720], [[[1, 2], [2, 5], [3, 1], [4, 1], [8, 1], [12, 1], [14, 1]], 53/1032192], [[[1, 2], [2, 5], [3, 1], [4, 1], [8, 1], [12, 1], [18, 1]], 59/3981312], [[[1, 2], [2, 5], [3, 1], [4, 1], [9, 1], [10, 1], [12, 1]], 11/3110400], [[[1, 2], [2, 5], [3, 1], [4, 1], [10, 1], [12, 1], [14, 1]], 1/107520], [[[1, 2], [2, 5], [3, 1], [4, 1], [10, 1], [12, 1], [18, 1]], 1/414720], [[[1, 2], [2, 5], [3, 1], [4, 2], [5, 1], [6, 1], [7, 1]], 1/1935360], [[[1, 2], [2, 5], [3, 1], [4, 2], [5, 1], [6, 1], [9, 1]], 1/552960], [[[1, 2], [2, 5], [3, 1], [4, 2], [5, 1], [6, 1], [14, 1]], 1/129024], [[[1, 2], [2, 5], [3, 1], [4, 2], [5, 1], [6, 1], [18, 1]], 167/59719680], [[[1, 2], [2, 5], [3, 1], [4, 2], [5, 1], [6, 2], [8, 1]], 17/26542080], [[[1, 2], [2, 5], [3, 1], [4, 2], [5, 1], [6, 2], [10, 1]], 1/30720], [[[1, 2], [2, 5], [3, 1], [4, 2], [5, 1], [6, 2], [12, 1]], 6199/2866544640], [[[1, 2], [2, 5], [3, 1], [4, 2], [5, 1], [8, 1], [10, 1]], 23/1843200], [[[1, 2], [2, 5], [3, 1], [4, 2], [5, 1], [8, 1], [12, 1]], 67/13271040], [[[1, 2], [2, 5], [3, 1], [4, 2], [5, 1], [10, 1], [12, 1]], 1/864000], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 1], [7, 1], [8, 1]], 1/387072], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 1], [7, 1], [12, 1]], 11/4644864], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 1], [8, 1], [9, 1]], 701/95551488], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 1], [8, 1], [14, 1]], 13/110592], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 1], [8, 1], [18, 1]], 3257/95551488], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 1], [9, 1], [10, 1]], 371/119439360], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 1], [9, 1], [12, 1]], 20299/4299816960], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 1], [10, 1], [14, 1]], 13/1935360], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 1], [10, 1], [18, 1]], 161/74649600], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 1], [12, 1], [14, 1]], 157/580608], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 1], [12, 1], [18, 1]], 7757/107495424], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 2], [8, 1], [10, 1]], 293/5308416], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 2], [8, 1], [12, 1]], 205345/4586471424], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 2], [10, 1], [12, 1]], 6101/47775744], [[[1, 2], [2, 5], [3, 1], [4, 2], [8, 1], [10, 1], [12, 1]], 223/66355200], [[[1, 2], [2, 5], [3, 1], [4, 3], [5, 1], [6, 1], [8, 1]], 7/2211840], [[[1, 2], [2, 5], [3, 1], [4, 3], [5, 1], [6, 1], [10, 1]], 77/22118400], [[[1, 2], [2, 5], [3, 1], [4, 3], [5, 1], [6, 1], [12, 1]], 13/4423680], [[[1, 2], [2, 5], [3, 1], [4, 3], [6, 1], [8, 1], [10, 1]], 271/44236800], [[[1, 2], [2, 5], [3, 1], [4, 3], [6, 1], [8, 1], [12, 1]], 5219/63700992], [[[1, 2], [2, 5], [3, 1], [4, 3], [6, 1], [10, 1], [12, 1]], 4039/199065600], [[[1, 2], [2, 5], [3, 1], [5, 1], [6, 1], [7, 1], [10, 1]], 1/201600], [[[1, 2], [2, 5], [3, 1], [5, 1], [6, 1], [7, 1], [12, 1]], 1/483840], [[[1, 2], [2, 5], [3, 1], [5, 1], [6, 1], [8, 1], [14, 1]], 1/161280], [[[1, 2], [2, 5], [3, 1], [5, 1], [6, 1], [8, 1], [18, 1]], 1/497664], [[[1, 2], [2, 5], [3, 1], [5, 1], [6, 1], [9, 1], [10, 1]], 1/172800], [[[1, 2], [2, 5], [3, 1], [5, 1], [6, 1], [9, 1], [12, 1]], 1/414720], [[[1, 2], [2, 5], [3, 1], [5, 1], [6, 1], [10, 1], [14, 1]], 17/100800], [[[1, 2], [2, 5], [3, 1], [5, 1], [6, 1], [10, 1], [18, 1]], 31/648000], [[[1, 2], [2, 5], [3, 1], [5, 1], [6, 1], [12, 1], [14, 1]], 1/80640], [[[1, 2], [2, 5], [3, 1], [5, 1], [6, 1], [12, 1], [18, 1]], 1/233280], [[[1, 2], [2, 5], [3, 1], [5, 1], [6, 2], [8, 1], [10, 1]], 1/345600], [[[1, 2], [2, 5], [3, 1], [5, 1], [6, 2], [8, 1], [12, 1]], 17/13271040], [[[1, 2], [2, 5], [3, 1], [5, 1], [6, 2], [10, 1], [12, 1]], 121/3456000], [[[1, 2], [2, 5], [3, 1], [6, 1], [7, 1], [8, 1], [10, 1]], 1/161280], [[[1, 2], [2, 5], [3, 1], [6, 1], [7, 1], [8, 1], [12, 1]], 1/387072], [[[1, 2], [2, 5], [3, 1], [6, 1], [7, 1], [10, 1], [12, 1]], 1/161280], [[[1, 2], [2, 5], [3, 1], [6, 1], [8, 1], [9, 1], [10, 1]], 61/6220800], [[[1, 2], [2, 5], [3, 1], [6, 1], [8, 1], [9, 1], [12, 1]], 11/2985984], [[[1, 2], [2, 5], [3, 1], [6, 1], [8, 1], [10, 1], [14, 1]], 1/53760], [[[1, 2], [2, 5], [3, 1], [6, 1], [8, 1], [10, 1], [18, 1]], 61/6220800], [[[1, 2], [2, 5], [3, 1], [6, 1], [8, 1], [12, 1], [14, 1]], 1/48384], [[[1, 2], [2, 5], [3, 1], [6, 1], [8, 1], [12, 1], [18, 1]], 43/5971968], [[[1, 2], [2, 5], [3, 1], [6, 1], [9, 1], [10, 1], [12, 1]], 37/4665600], [[[1, 2], [2, 5], [3, 1], [6, 1], [10, 1], [12, 1], [14, 1]], 1/48384], [[[1, 2], [2, 5], [3, 1], [6, 1], [10, 1], [12, 1], [18, 1]], 97/9331200], [[[1, 2], [2, 5], [3, 1], [6, 2], [8, 1], [10, 1], [12, 1]], 331/33177600], [[[1, 2], [2, 5], [3, 2], [4, 1], [5, 1], [6, 1], [7, 1]], 1/1935360], [[[1, 2], [2, 5], [3, 2], [4, 1], [5, 1], [6, 1], [9, 1]], 7/2488320], [[[1, 2], [2, 5], [3, 2], [4, 1], [5, 1], [6, 1], [14, 1]], 13/1935360], [[[1, 2], [2, 5], [3, 2], [4, 1], [5, 1], [6, 1], [18, 1]], 17/7464960], [[[1, 2], [2, 5], [3, 2], [4, 1], [5, 1], [6, 2], [8, 1]], 61/106168320], [[[1, 2], [2, 5], [3, 2], [4, 1], [5, 1], [6, 2], [10, 1]], 1777/55296000], [[[1, 2], [2, 5], [3, 2], [4, 1], [5, 1], [6, 2], [12, 1]], 5/2985984], [[[1, 2], [2, 5], [3, 2], [4, 1], [5, 1], [8, 1], [12, 1]], 29/17694720], [[[1, 2], [2, 5], [3, 2], [4, 1], [5, 1], [10, 1], [12, 1]], 11/27648000], [[[1, 2], [2, 5], [3, 2], [4, 1], [6, 1], [7, 1], [8, 1]], 5/2064384], [[[1, 2], [2, 5], [3, 2], [4, 1], [6, 1], [7, 1], [10, 1]], 1/1935360], [[[1, 2], [2, 5], [3, 2], [4, 1], [6, 1], [7, 1], [12, 1]], 11/9289728], [[[1, 2], [2, 5], [3, 2], [4, 1], [6, 1], [8, 1], [9, 1]], 263/23887872], [[[1, 2], [2, 5], [3, 2], [4, 1], [6, 1], [8, 1], [14, 1]], 5/344064], [[[1, 2], [2, 5], [3, 2], [4, 1], [6, 1], [8, 1], [18, 1]], 11/1990656], [[[1, 2], [2, 5], [3, 2], [4, 1], [6, 1], [9, 1], [10, 1]], 199/37324800], [[[1, 2], [2, 5], [3, 2], [4, 1], [6, 1], [9, 1], [12, 1]], 205/35831808], [[[1, 2], [2, 5], [3, 2], [4, 1], [6, 1], [10, 1], [14, 1]], 1/387072], [[[1, 2], [2, 5], [3, 2], [4, 1], [6, 1], [10, 1], [18, 1]], 7/7464960], [[[1, 2], [2, 5], [3, 2], [4, 1], [6, 1], [12, 1], [14, 1]], 25/2322432], [[[1, 2], [2, 5], [3, 2], [4, 1], [6, 1], [12, 1], [18, 1]], 5423/1433272320], [[[1, 2], [2, 5], [3, 2], [4, 1], [6, 2], [8, 1], [10, 1]], 217/29491200], [[[1, 2], [2, 5], [3, 2], [4, 1], [6, 2], [8, 1], [12, 1]], 6047/191102976], [[[1, 2], [2, 5], [3, 2], [4, 1], [6, 2], [10, 1], [12, 1]], 2077/149299200], [[[1, 2], [2, 5], [3, 2], [4, 1], [8, 1], [10, 1], [12, 1]], 73/44236800], [[[1, 2], [2, 5], [3, 2], [4, 2], [5, 1], [6, 1], [8, 1]], 37/13271040], [[[1, 2], [2, 5], [3, 2], [4, 2], [5, 1], [6, 1], [10, 1]], 31/2764800], [[[1, 2], [2, 5], [3, 2], [4, 2], [5, 1], [6, 1], [12, 1]], 11/5308416], [[[1, 2], [2, 5], [3, 2], [4, 2], [6, 1], [8, 1], [10, 1]], 7/4423680], [[[1, 2], [2, 5], [3, 2], [4, 2], [6, 1], [8, 1], [12, 1]], 23543/1528823808], [[[1, 2], [2, 5], [3, 2], [4, 2], [6, 1], [10, 1], [12, 1]], 18877/9555148800], [[[1, 2], [2, 5], [3, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 1/345600], [[[1, 2], [2, 5], [3, 2], [5, 1], [6, 1], [8, 1], [12, 1]], 1/829440], [[[1, 2], [2, 5], [3, 2], [5, 1], [6, 1], [10, 1], [12, 1]], 1/307200], [[[1, 2], [2, 5], [3, 2], [6, 1], [8, 1], [10, 1], [12, 1]], 151/33177600], [[[1, 2], [2, 5], [3, 3], [4, 1], [5, 1], [6, 1], [8, 1]], 19/13271040], [[[1, 2], [2, 5], [3, 3], [4, 1], [5, 1], [6, 1], [10, 1]], 1/3110400], [[[1, 2], [2, 5], [3, 3], [4, 1], [5, 1], [6, 1], [12, 1]], 71/59719680], [[[1, 2], [2, 5], [3, 3], [4, 1], [6, 1], [8, 1], [10, 1]], 73/119439360], [[[1, 2], [2, 5], [3, 3], [4, 1], [6, 1], [8, 1], [12, 1]], 1069/286654464], [[[1, 2], [2, 5], [3, 3], [4, 1], [6, 1], [10, 1], [12, 1]], 13/9331200], [[[1, 2], [2, 5], [4, 1], [5, 1], [6, 1], [7, 1], [10, 1]], 1/134400], [[[1, 2], [2, 5], [4, 1], [5, 1], [6, 1], [7, 1], [12, 1]], 1/322560], [[[1, 2], [2, 5], [4, 1], [5, 1], [6, 1], [8, 1], [14, 1]], 1/107520], [[[1, 2], [2, 5], [4, 1], [5, 1], [6, 1], [8, 1], [18, 1]], 13/3317760], [[[1, 2], [2, 5], [4, 1], [5, 1], [6, 1], [9, 1], [10, 1]], 1/172800], [[[1, 2], [2, 5], [4, 1], [5, 1], [6, 1], [9, 1], [12, 1]], 1/414720], [[[1, 2], [2, 5], [4, 1], [5, 1], [6, 1], [10, 1], [14, 1]], 1/44800], [[[1, 2], [2, 5], [4, 1], [5, 1], [6, 1], [10, 1], [18, 1]], 61/5184000], [[[1, 2], [2, 5], [4, 1], [5, 1], [6, 1], [12, 1], [14, 1]], 1/64512], [[[1, 2], [2, 5], [4, 1], [5, 1], [6, 1], [12, 1], [18, 1]], 7/1244160], [[[1, 2], [2, 5], [4, 1], [5, 1], [6, 2], [8, 1], [10, 1]], 11/518400], [[[1, 2], [2, 5], [4, 1], [5, 1], [6, 2], [8, 1], [12, 1]], 37/17694720], [[[1, 2], [2, 5], [4, 1], [5, 1], [6, 2], [10, 1], [12, 1]], 211/27648000], [[[1, 2], [2, 5], [4, 1], [6, 1], [7, 1], [8, 1], [10, 1]], 13/430080], [[[1, 2], [2, 5], [4, 1], [6, 1], [7, 1], [8, 1], [12, 1]], 5/344064], [[[1, 2], [2, 5], [4, 1], [6, 1], [7, 1], [10, 1], [12, 1]], 1/64512], [[[1, 2], [2, 5], [4, 1], [6, 1], [8, 1], [9, 1], [10, 1]], 37/1658880], [[[1, 2], [2, 5], [4, 1], [6, 1], [8, 1], [9, 1], [12, 1]], 43/3981312], [[[1, 2], [2, 5], [4, 1], [6, 1], [8, 1], [10, 1], [14, 1]], 19/215040], [[[1, 2], [2, 5], [4, 1], [6, 1], [8, 1], [10, 1], [18, 1]], 383/8294400], [[[1, 2], [2, 5], [4, 1], [6, 1], [8, 1], [12, 1], [14, 1]], 37/516096], [[[1, 2], [2, 5], [4, 1], [6, 1], [8, 1], [12, 1], [18, 1]], 53/1990656], [[[1, 2], [2, 5], [4, 1], [6, 1], [9, 1], [10, 1], [12, 1]], 1/82944], [[[1, 2], [2, 5], [4, 1], [6, 1], [10, 1], [12, 1], [14, 1]], 17/322560], [[[1, 2], [2, 5], [4, 1], [6, 1], [10, 1], [12, 1], [18, 1]], 157/6220800], [[[1, 2], [2, 5], [4, 1], [6, 2], [8, 1], [10, 1], [12, 1]], 1633/44236800], [[[1, 2], [2, 5], [4, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 1/19200], [[[1, 2], [2, 5], [4, 2], [5, 1], [6, 1], [8, 1], [12, 1]], 7/737280], [[[1, 2], [2, 5], [4, 2], [5, 1], [6, 1], [10, 1], [12, 1]], 47/1382400], [[[1, 2], [2, 5], [4, 2], [6, 1], [8, 1], [10, 1], [12, 1]], 2959/33177600], [[[1, 2], [2, 7], [3, 1], [4, 1], [5, 1], [6, 1], [9, 1]], 37/1343692800], [[[1, 2], [2, 7], [3, 1], [4, 1], [5, 1], [6, 1], [14, 1]], 1/215040], [[[1, 2], [2, 7], [3, 1], [4, 1], [5, 1], [6, 1], [18, 1]], 121/99532800], [[[1, 2], [2, 7], [3, 1], [4, 1], [5, 1], [6, 2], [8, 1]], 11/19906560], [[[1, 2], [2, 7], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1]], 2077/746496000], [[[1, 2], [2, 7], [3, 1], [4, 1], [5, 1], [6, 2], [12, 1]], 5449/4777574400], [[[1, 2], [2, 7], [3, 1], [4, 1], [5, 1], [8, 1], [10, 1]], 13/9216000], [[[1, 2], [2, 7], [3, 1], [4, 1], [5, 1], [10, 1], [12, 1]], 7/13824000], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 1], [7, 1], [8, 1]], 1/1032192], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 1], [7, 1], [10, 1]], 1/1382400], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 1], [7, 1], [12, 1]], 1/4644864], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 1], [8, 1], [9, 1]], 4511/4299816960], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 1], [8, 1], [14, 1]], 29/1548288], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 1], [8, 1], [18, 1]], 2591/477757440], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 1], [9, 1], [10, 1]], 7/5248800], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 1], [9, 1], [12, 1]], 253/806215680], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 1], [10, 1], [14, 1]], 11/1075200], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 1], [10, 1], [18, 1]], 1/307200], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 1], [12, 1], [14, 1]], 11/1161216], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 1], [12, 1], [18, 1]], 1849/716636160], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 2], [8, 1], [10, 1]], 229/24883200], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 2], [8, 1], [12, 1]], 118231/22932357120], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 2], [10, 1], [12, 1]], 461/79626240], [[[1, 2], [2, 7], [3, 1], [4, 1], [8, 1], [10, 1], [12, 1]], 1/552960], [[[1, 2], [2, 7], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1]], 113/106168320], [[[1, 2], [2, 7], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1]], 31/24576000], [[[1, 2], [2, 7], [3, 1], [4, 2], [5, 1], [6, 1], [12, 1]], 9383/42998169600], [[[1, 2], [2, 7], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1]], 1627/265420800], [[[1, 2], [2, 7], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 102733/34398535680], [[[1, 2], [2, 7], [3, 1], [4, 2], [6, 1], [10, 1], [12, 1]], 7369/955514880], [[[1, 2], [2, 7], [3, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 7/13824000], [[[1, 2], [2, 7], [3, 1], [5, 1], [6, 1], [8, 1], [12, 1]], 1/6635520], [[[1, 2], [2, 7], [3, 1], [5, 1], [6, 1], [10, 1], [12, 1]], 1/1382400], [[[1, 2], [2, 7], [3, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 49/33177600], [[[1, 2], [2, 7], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1]], 29/53084160], [[[1, 2], [2, 7], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1]], 7/13824000], [[[1, 2], [2, 7], [3, 2], [4, 1], [5, 1], [6, 1], [12, 1]], 757/7166361600], [[[1, 2], [2, 7], [3, 2], [4, 1], [6, 1], [8, 1], [10, 1]], 127/88473600], [[[1, 2], [2, 7], [3, 2], [4, 1], [6, 1], [8, 1], [12, 1]], 20711/22932357120], [[[1, 2], [2, 7], [3, 2], [4, 1], [6, 1], [10, 1], [12, 1]], 1519/1791590400], [[[1, 2], [2, 7], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1153/497664000], [[[1, 2], [2, 7], [4, 1], [5, 1], [6, 1], [8, 1], [12, 1]], 1/1769472], [[[1, 2], [2, 7], [4, 1], [5, 1], [6, 1], [10, 1], [12, 1]], 7/6912000], [[[1, 2], [2, 7], [4, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 53/8847360], [[[1, 2], [2, 9], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 13/1194393600], [[[1, 2], [2, 9], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 19889/167215104000], [[[1, 2], [2, 9], [3, 1], [4, 1], [5, 1], [6, 1], [12, 1]], 41/7166361600], [[[1, 2], [2, 9], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 3343/4777574400], [[[1, 2], [2, 9], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 5179/133772083200], [[[1, 2], [2, 9], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1]], 133/477757440], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [6, 2], [8, 2]], 1/3317760], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [6, 2], [10, 2]], 721/10368000], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [6, 2], [12, 2]], 19/4976640], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [6, 2], [15, 1]], 1/518400], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [6, 2], [20, 1]], 1/345600], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [6, 2], [24, 1]], 1/414720], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [6, 2], [30, 1]], 1/518400], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [6, 3], [9, 1]], 1/11197440], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [6, 3], [18, 1]], 1/933120], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [6, 4], [8, 1]], 13/1194393600], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [6, 4], [10, 1]], 601/373248000], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [6, 4], [12, 1]], 31/149299200], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [7, 1], [9, 1]], 1/60480], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [7, 1], [14, 1]], 1/3360], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [8, 1], [10, 2]], 13/4608000], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [8, 1], [12, 2]], 13/2211840], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [8, 1], [15, 1]], 13/230400], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [8, 1], [16, 1]], 1/1536], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [8, 1], [20, 1]], 3/10240], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [8, 1], [24, 1]], 77/184320], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [8, 1], [30, 1]], 13/230400], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [8, 2], [10, 1]], 61/460800], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [8, 2], [12, 1]], 1/184320], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [9, 1], [14, 1]], 1/120960], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [9, 1], [18, 1]], 37/155520], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [10, 1], [12, 2]], 1/691200], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [10, 1], [15, 1]], 1/72000], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [10, 1], [20, 1]], 1/48000], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [10, 1], [24, 1]], 1/57600], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [10, 1], [30, 1]], 1/72000], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [10, 2], [12, 1]], 1/576000], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [12, 1], [15, 1]], 1/28800], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [12, 1], [16, 1]], 1/5760], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [12, 1], [20, 1]], 11/57600], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [12, 1], [24, 1]], 1/4608], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [12, 1], [30, 1]], 1/28800], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 2], [6, 1], [7, 1]], 1/1209600], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 2], [6, 1], [9, 1]], 23/37324800], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 2], [6, 1], [14, 1]], 1/2419200], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 2], [6, 1], [18, 1]], 103/12441600], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 2], [6, 2], [8, 1]], 19/33177600], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 2], [6, 2], [10, 1]], 1/3456000], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 2], [6, 2], [12, 1]], 377/199065600], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 2], [8, 1], [10, 1]], 481/2304000], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 2], [8, 1], [12, 1]], 1/368640], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 2], [10, 1], [12, 1]], 1/1728000], [[[1, 3], [2, 2], [3, 1], [4, 1], [6, 1], [7, 1], [8, 2]], 1/387072], [[[1, 3], [2, 2], [3, 1], [4, 1], [6, 1], [7, 1], [10, 2]], 1/1209600], [[[1, 3], [2, 2], [3, 1], [4, 1], [6, 1], [7, 1], [12, 2]], 37/580608], [[[1, 3], [2, 2], [3, 1], [4, 1], [6, 1], [7, 1], [15, 1]], 1/60480], [[[1, 3], [2, 2], [3, 1], [4, 1], [6, 1], [7, 1], [16, 1]], 1/2688], [[[1, 3], [2, 2], [3, 1], [4, 1], [6, 1], [7, 1], [20, 1]], 1/40320], [[[1, 3], [2, 2], [3, 1], [4, 1], [6, 1], [7, 1], [24, 1]], 19/48384], [[[1, 3], [2, 2], [3, 1], [4, 1], [6, 1], [7, 1], [30, 1]], 1/60480], [[[1, 3], [2, 2], [3, 1], [4, 1], [6, 1], [8, 2], [9, 1]], 221/11943936], [[[1, 3], [2, 2], [3, 1], [4, 1], [6, 1], [8, 2], [14, 1]], 1/774144], [[[1, 3], [2, 2], [3, 1], [4, 1], [6, 1], [8, 2], [18, 1]], 73/3981312], [[[1, 3], [2, 2], [3, 1], [4, 1], [6, 1], [9, 1], [10, 2]], 167/37324800], [[[1, 3], [2, 2], [3, 1], [4, 1], [6, 1], [9, 1], [12, 2]], 743/17915904], [[[1, 3], [2, 2], [3, 1], [4, 1], [6, 1], [9, 1], [15, 1]], 23/1866240], [[[1, 3], [2, 2], [3, 1], [4, 1], [6, 1], [9, 1], [16, 1]], 1/5184], [[[1, 3], [2, 2], [3, 1], [4, 1], [6, 1], [9, 1], [20, 1]], 23/1244160], [[[1, 3], [2, 2], [3, 1], [4, 1], [6, 1], [9, 1], [24, 1]], 311/1492992], [[[1, 3], [2, 2], [3, 1], [4, 1], [6, 1], [9, 1], [30, 1]], 23/1866240], [[[1, 3], [2, 2], [3, 1], [4, 1], [6, 1], [10, 2], [14, 1]], 1/2419200], [[[1, 3], [2, 2], [3, 1], [4, 1], [6, 1], [10, 2], [18, 1]], 7/12441600], [[[1, 3], [2, 2], [3, 1], [4, 1], [6, 1], [12, 2], [14, 1]], 37/1161216], [[[1, 3], [2, 2], [3, 1], [4, 1], [6, 1], [12, 2], [18, 1]], 215/5971968], [[[1, 3], [2, 2], [3, 1], [4, 1], [6, 1], [14, 1], [15, 1]], 1/120960], [[[1, 3], [2, 2], [3, 1], [4, 1], [6, 1], [14, 1], [16, 1]], 1/5376], [[[1, 3], [2, 2], [3, 1], [4, 1], [6, 1], [14, 1], [20, 1]], 1/80640], [[[1, 3], [2, 2], [3, 1], [4, 1], [6, 1], [14, 1], [24, 1]], 19/96768], [[[1, 3], [2, 2], [3, 1], [4, 1], [6, 1], [14, 1], [30, 1]], 1/120960], [[[1, 3], [2, 2], [3, 1], [4, 1], [6, 1], [15, 1], [18, 1]], 7/622080], [[[1, 3], [2, 2], [3, 1], [4, 1], [6, 1], [16, 1], [18, 1]], 1/6912], [[[1, 3], [2, 2], [3, 1], [4, 1], [6, 1], [18, 1], [20, 1]], 7/414720], [[[1, 3], [2, 2], [3, 1], [4, 1], [6, 1], [18, 1], [24, 1]], 79/497664], [[[1, 3], [2, 2], [3, 1], [4, 1], [6, 1], [18, 1], [30, 1]], 7/622080], [[[1, 3], [2, 2], [3, 1], [4, 1], [6, 2], [7, 1], [14, 1]], 1/24192], [[[1, 3], [2, 2], [3, 1], [4, 1], [6, 2], [7, 1], [18, 1]], 1/108864], [[[1, 3], [2, 2], [3, 1], [4, 1], [6, 2], [8, 1], [10, 2]], 19/33177600], [[[1, 3], [2, 2], [3, 1], [4, 1], [6, 2], [8, 1], [12, 2]], 1549/15925248], [[[1, 3], [2, 2], [3, 1], [4, 1], [6, 2], [8, 1], [15, 1]], 19/1658880], [[[1, 3], [2, 2], [3, 1], [4, 1], [6, 2], [8, 1], [16, 1]], 11/55296], [[[1, 3], [2, 2], [3, 1], [4, 1], [6, 2], [8, 1], [20, 1]], 17/368640], [[[1, 3], [2, 2], [3, 1], [4, 1], [6, 2], [8, 1], [24, 1]], 227/1327104], [[[1, 3], [2, 2], [3, 1], [4, 1], [6, 2], [8, 1], [30, 1]], 19/1658880], [[[1, 3], [2, 2], [3, 1], [4, 1], [6, 2], [8, 2], [10, 1]], 1/1105920], [[[1, 3], [2, 2], [3, 1], [4, 1], [6, 2], [8, 2], [12, 1]], 4895/63700992], [[[1, 3], [2, 2], [3, 1], [4, 1], [6, 2], [9, 1], [18, 1]], 5/52488], [[[1, 3], [2, 2], [3, 1], [4, 1], [6, 2], [10, 1], [12, 2]], 1/61440], [[[1, 3], [2, 2], [3, 1], [4, 1], [6, 2], [10, 1], [15, 1]], 1/172800], [[[1, 3], [2, 2], [3, 1], [4, 1], [6, 2], [10, 1], [16, 1]], 1/11520], [[[1, 3], [2, 2], [3, 1], [4, 1], [6, 2], [10, 1], [20, 1]], 1/115200], [[[1, 3], [2, 2], [3, 1], [4, 1], [6, 2], [10, 1], [24, 1]], 13/138240], [[[1, 3], [2, 2], [3, 1], [4, 1], [6, 2], [10, 1], [30, 1]], 1/172800], [[[1, 3], [2, 2], [3, 1], [4, 1], [6, 2], [10, 2], [12, 1]], 89/199065600], [[[1, 3], [2, 2], [3, 1], [4, 1], [6, 2], [12, 1], [15, 1]], 89/9953280], [[[1, 3], [2, 2], [3, 1], [4, 1], [6, 2], [12, 1], [16, 1]], 11/82944], [[[1, 3], [2, 2], [3, 1], [4, 1], [6, 2], [12, 1], [20, 1]], 217/6635520], [[[1, 3], [2, 2], [3, 1], [4, 1], [6, 2], [12, 1], [24, 1]], 1145/7962624], [[[1, 3], [2, 2], [3, 1], [4, 1], [6, 2], [12, 1], [30, 1]], 89/9953280], [[[1, 3], [2, 2], [3, 1], [4, 1], [6, 2], [14, 1], [18, 1]], 1/217728], [[[1, 3], [2, 2], [3, 1], [4, 1], [6, 3], [7, 1], [12, 1]], 1/580608], [[[1, 3], [2, 2], [3, 1], [4, 1], [6, 3], [8, 1], [9, 1]], 17/53747712], [[[1, 3], [2, 2], [3, 1], [4, 1], [6, 3], [8, 1], [18, 1]], 19/2985984], [[[1, 3], [2, 2], [3, 1], [4, 1], [6, 3], [9, 1], [10, 1]], 1/11197440], [[[1, 3], [2, 2], [3, 1], [4, 1], [6, 3], [9, 1], [12, 1]], 77/53747712], [[[1, 3], [2, 2], [3, 1], [4, 1], [6, 3], [10, 1], [18, 1]], 1/311040], [[[1, 3], [2, 2], [3, 1], [4, 1], [6, 3], [12, 1], [14, 1]], 1/1161216], [[[1, 3], [2, 2], [3, 1], [4, 1], [6, 3], [12, 1], [18, 1]], 101/17915904], [[[1, 3], [2, 2], [3, 1], [4, 1], [6, 4], [8, 1], [10, 1]], 1/597196800], [[[1, 3], [2, 2], [3, 1], [4, 1], [6, 4], [8, 1], [12, 1]], 1/393216], [[[1, 3], [2, 2], [3, 1], [4, 1], [6, 4], [10, 1], [12, 1]], 271/447897600], [[[1, 3], [2, 2], [3, 1], [4, 1], [7, 1], [8, 1], [9, 1]], 11/193536], [[[1, 3], [2, 2], [3, 1], [4, 1], [7, 1], [8, 1], [14, 1]], 1/5376], [[[1, 3], [2, 2], [3, 1], [4, 1], [7, 1], [9, 1], [10, 1]], 1/60480], [[[1, 3], [2, 2], [3, 1], [4, 1], [7, 1], [9, 1], [12, 1]], 1/36288], [[[1, 3], [2, 2], [3, 1], [4, 1], [7, 1], [12, 1], [14, 1]], 1/4032], [[[1, 3], [2, 2], [3, 1], [4, 1], [8, 1], [9, 1], [14, 1]], 1/32256], [[[1, 3], [2, 2], [3, 1], [4, 1], [8, 1], [9, 1], [18, 1]], 125/746496], [[[1, 3], [2, 2], [3, 1], [4, 1], [8, 1], [10, 1], [12, 2]], 1/1105920], [[[1, 3], [2, 2], [3, 1], [4, 1], [8, 1], [10, 1], [15, 1]], 1/115200], [[[1, 3], [2, 2], [3, 1], [4, 1], [8, 1], [10, 1], [20, 1]], 1/76800], [[[1, 3], [2, 2], [3, 1], [4, 1], [8, 1], [10, 1], [24, 1]], 1/92160], [[[1, 3], [2, 2], [3, 1], [4, 1], [8, 1], [10, 1], [30, 1]], 1/115200], [[[1, 3], [2, 2], [3, 1], [4, 1], [8, 1], [10, 2], [12, 1]], 1/368640], [[[1, 3], [2, 2], [3, 1], [4, 1], [8, 1], [12, 1], [15, 1]], 1/18432], [[[1, 3], [2, 2], [3, 1], [4, 1], [8, 1], [12, 1], [16, 1]], 1/1536], [[[1, 3], [2, 2], [3, 1], [4, 1], [8, 1], [12, 1], [20, 1]], 7/20480], [[[1, 3], [2, 2], [3, 1], [4, 1], [8, 1], [12, 1], [24, 1]], 103/221184], [[[1, 3], [2, 2], [3, 1], [4, 1], [8, 1], [12, 1], [30, 1]], 1/18432], [[[1, 3], [2, 2], [3, 1], [4, 1], [8, 2], [10, 1], [12, 1]], 1/552960], [[[1, 3], [2, 2], [3, 1], [4, 1], [9, 1], [10, 1], [14, 1]], 1/120960], [[[1, 3], [2, 2], [3, 1], [4, 1], [9, 1], [10, 1], [18, 1]], 1/155520], [[[1, 3], [2, 2], [3, 1], [4, 1], [9, 1], [12, 1], [14, 1]], 1/72576], [[[1, 3], [2, 2], [3, 1], [4, 1], [9, 1], [12, 1], [18, 1]], 19/93312], [[[1, 3], [2, 2], [3, 1], [4, 1], [10, 1], [12, 1], [15, 1]], 1/86400], [[[1, 3], [2, 2], [3, 1], [4, 1], [10, 1], [12, 1], [20, 1]], 1/57600], [[[1, 3], [2, 2], [3, 1], [4, 1], [10, 1], [12, 1], [24, 1]], 1/69120], [[[1, 3], [2, 2], [3, 1], [4, 1], [10, 1], [12, 1], [30, 1]], 1/86400], [[[1, 3], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [8, 2]], 13/13271040], [[[1, 3], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [10, 2]], 4333/41472000], [[[1, 3], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [12, 2]], 557/19906560], [[[1, 3], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [15, 1]], 13/2073600], [[[1, 3], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [16, 1]], 1/7680], [[[1, 3], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [20, 1]], 13/1382400], [[[1, 3], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [24, 1]], 229/1658880], [[[1, 3], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [30, 1]], 13/2073600], [[[1, 3], [2, 2], [3, 1], [4, 2], [5, 1], [6, 2], [18, 1]], 13/3732480], [[[1, 3], [2, 2], [3, 1], [4, 2], [5, 1], [6, 3], [12, 1]], 407/537477120], [[[1, 3], [2, 2], [3, 1], [4, 2], [5, 1], [7, 1], [12, 1]], 1/80640], [[[1, 3], [2, 2], [3, 1], [4, 2], [5, 1], [8, 1], [9, 1]], 11/552960], [[[1, 3], [2, 2], [3, 1], [4, 2], [5, 1], [9, 1], [10, 1]], 11/172800], [[[1, 3], [2, 2], [3, 1], [4, 2], [5, 1], [9, 1], [12, 1]], 37/1866240], [[[1, 3], [2, 2], [3, 1], [4, 2], [5, 1], [12, 1], [14, 1]], 1/80640], [[[1, 3], [2, 2], [3, 1], [4, 2], [5, 1], [12, 1], [18, 1]], 7/933120], [[[1, 3], [2, 2], [3, 1], [4, 2], [5, 2], [6, 1], [8, 1]], 89/16588800], [[[1, 3], [2, 2], [3, 1], [4, 2], [5, 2], [6, 1], [10, 1]], 2167/20736000], [[[1, 3], [2, 2], [3, 1], [4, 2], [5, 2], [6, 1], [12, 1]], 83/6635520], [[[1, 3], [2, 2], [3, 1], [4, 2], [6, 1], [7, 1], [9, 1]], 1/1741824], [[[1, 3], [2, 2], [3, 1], [4, 2], [6, 1], [7, 1], [14, 1]], 1/8064], [[[1, 3], [2, 2], [3, 1], [4, 2], [6, 1], [7, 1], [18, 1]], 1/1741824], [[[1, 3], [2, 2], [3, 1], [4, 2], [6, 1], [8, 1], [10, 2]], 89/16588800], [[[1, 3], [2, 2], [3, 1], [4, 2], [6, 1], [8, 1], [12, 2]], 1891/7962624], [[[1, 3], [2, 2], [3, 1], [4, 2], [6, 1], [8, 1], [15, 1]], 89/829440], [[[1, 3], [2, 2], [3, 1], [4, 2], [6, 1], [8, 1], [16, 1]], 29/36864], [[[1, 3], [2, 2], [3, 1], [4, 2], [6, 1], [8, 1], [20, 1]], 137/552960], [[[1, 3], [2, 2], [3, 1], [4, 2], [6, 1], [8, 1], [24, 1]], 241/331776], [[[1, 3], [2, 2], [3, 1], [4, 2], [6, 1], [8, 1], [30, 1]], 89/829440], [[[1, 3], [2, 2], [3, 1], [4, 2], [6, 1], [8, 2], [10, 1]], 7/6635520], [[[1, 3], [2, 2], [3, 1], [4, 2], [6, 1], [8, 2], [12, 1]], 3839/10616832], [[[1, 3], [2, 2], [3, 1], [4, 2], [6, 1], [9, 1], [18, 1]], 637/4478976], [[[1, 3], [2, 2], [3, 1], [4, 2], [6, 1], [10, 1], [12, 2]], 263/9953280], [[[1, 3], [2, 2], [3, 1], [4, 2], [6, 1], [10, 1], [15, 1]], 7/1036800], [[[1, 3], [2, 2], [3, 1], [4, 2], [6, 1], [10, 1], [16, 1]], 1/7680], [[[1, 3], [2, 2], [3, 1], [4, 2], [6, 1], [10, 1], [20, 1]], 7/691200], [[[1, 3], [2, 2], [3, 1], [4, 2], [6, 1], [10, 1], [24, 1]], 23/165888], [[[1, 3], [2, 2], [3, 1], [4, 2], [6, 1], [10, 1], [30, 1]], 7/1036800], [[[1, 3], [2, 2], [3, 1], [4, 2], [6, 1], [10, 2], [12, 1]], 83/6635520], [[[1, 3], [2, 2], [3, 1], [4, 2], [6, 1], [12, 1], [15, 1]], 83/331776], [[[1, 3], [2, 2], [3, 1], [4, 2], [6, 1], [12, 1], [16, 1]], 1/3456], [[[1, 3], [2, 2], [3, 1], [4, 2], [6, 1], [12, 1], [20, 1]], 71/122880], [[[1, 3], [2, 2], [3, 1], [4, 2], [6, 1], [12, 1], [24, 1]], 911/1327104], [[[1, 3], [2, 2], [3, 1], [4, 2], [6, 1], [12, 1], [30, 1]], 83/331776], [[[1, 3], [2, 2], [3, 1], [4, 2], [6, 1], [14, 1], [18, 1]], 1/870912], [[[1, 3], [2, 2], [3, 1], [4, 2], [6, 2], [7, 1], [12, 1]], 59/27869184], [[[1, 3], [2, 2], [3, 1], [4, 2], [6, 2], [8, 1], [18, 1]], 89/1492992], [[[1, 3], [2, 2], [3, 1], [4, 2], [6, 2], [9, 1], [12, 1]], 559/286654464], [[[1, 3], [2, 2], [3, 1], [4, 2], [6, 2], [10, 1], [18, 1]], 7/1866240], [[[1, 3], [2, 2], [3, 1], [4, 2], [6, 2], [12, 1], [14, 1]], 23/13934592], [[[1, 3], [2, 2], [3, 1], [4, 2], [6, 2], [12, 1], [18, 1]], 941/6718464], [[[1, 3], [2, 2], [3, 1], [4, 2], [6, 3], [8, 1], [12, 1]], 853/71663616], [[[1, 3], [2, 2], [3, 1], [4, 2], [6, 3], [10, 1], [12, 1]], 41/29859840], [[[1, 3], [2, 2], [3, 1], [4, 2], [7, 1], [8, 1], [12, 1]], 1/96768], [[[1, 3], [2, 2], [3, 1], [4, 2], [8, 1], [9, 1], [10, 1]], 11/552960], [[[1, 3], [2, 2], [3, 1], [4, 2], [8, 1], [9, 1], [12, 1]], 133/1492992], [[[1, 3], [2, 2], [3, 1], [4, 2], [8, 1], [12, 1], [14, 1]], 1/193536], [[[1, 3], [2, 2], [3, 1], [4, 2], [8, 1], [12, 1], [18, 1]], 1/248832], [[[1, 3], [2, 2], [3, 1], [4, 2], [9, 1], [10, 1], [12, 1]], 7/622080], [[[1, 3], [2, 2], [3, 1], [4, 3], [5, 1], [6, 1], [18, 1]], 1/1244160], [[[1, 3], [2, 2], [3, 1], [4, 3], [5, 1], [6, 2], [12, 1]], 19/19906560], [[[1, 3], [2, 2], [3, 1], [4, 3], [5, 1], [8, 1], [10, 1]], 1/92160], [[[1, 3], [2, 2], [3, 1], [4, 3], [5, 1], [8, 1], [12, 1]], 37/552960], [[[1, 3], [2, 2], [3, 1], [4, 3], [5, 1], [10, 1], [12, 1]], 1/172800], [[[1, 3], [2, 2], [3, 1], [4, 3], [6, 1], [7, 1], [8, 1]], 1/32256], [[[1, 3], [2, 2], [3, 1], [4, 3], [6, 1], [7, 1], [12, 1]], 19/145152], [[[1, 3], [2, 2], [3, 1], [4, 3], [6, 1], [8, 1], [9, 1]], 131/7962624], [[[1, 3], [2, 2], [3, 1], [4, 3], [6, 1], [8, 1], [14, 1]], 1/64512], [[[1, 3], [2, 2], [3, 1], [4, 3], [6, 1], [8, 1], [18, 1]], 109/7962624], [[[1, 3], [2, 2], [3, 1], [4, 3], [6, 1], [9, 1], [10, 1]], 1/4976640], [[[1, 3], [2, 2], [3, 1], [4, 3], [6, 1], [9, 1], [12, 1]], 2497/35831808], [[[1, 3], [2, 2], [3, 1], [4, 3], [6, 1], [10, 1], [18, 1]], 1/2488320], [[[1, 3], [2, 2], [3, 1], [4, 3], [6, 1], [12, 1], [14, 1]], 19/290304], [[[1, 3], [2, 2], [3, 1], [4, 3], [6, 1], [12, 1], [18, 1]], 161/2985984], [[[1, 3], [2, 2], [3, 1], [4, 3], [6, 2], [8, 1], [10, 1]], 1/138240], [[[1, 3], [2, 2], [3, 1], [4, 3], [6, 2], [8, 1], [12, 1]], 7175/127401984], [[[1, 3], [2, 2], [3, 1], [4, 3], [6, 2], [10, 1], [12, 1]], 139/4423680], [[[1, 3], [2, 2], [3, 1], [4, 3], [8, 1], [10, 1], [12, 1]], 1/276480], [[[1, 3], [2, 2], [3, 1], [4, 4], [5, 1], [6, 1], [8, 1]], 1441/132710400], [[[1, 3], [2, 2], [3, 1], [4, 4], [5, 1], [6, 1], [10, 1]], 611/110592000], [[[1, 3], [2, 2], [3, 1], [4, 4], [5, 1], [6, 1], [12, 1]], 36647/796262400], [[[1, 3], [2, 2], [3, 1], [4, 4], [6, 1], [8, 1], [10, 1]], 2881/265420800], [[[1, 3], [2, 2], [3, 1], [4, 4], [6, 1], [8, 1], [12, 1]], 149447/637009920], [[[1, 3], [2, 2], [3, 1], [4, 4], [6, 1], [10, 1], [12, 1]], 7361/159252480], [[[1, 3], [2, 2], [3, 1], [5, 1], [6, 1], [7, 1], [18, 1]], 1/60480], [[[1, 3], [2, 2], [3, 1], [5, 1], [6, 1], [8, 1], [10, 2]], 1/1728000], [[[1, 3], [2, 2], [3, 1], [5, 1], [6, 1], [8, 1], [12, 2]], 1/829440], [[[1, 3], [2, 2], [3, 1], [5, 1], [6, 1], [8, 1], [15, 1]], 1/86400], [[[1, 3], [2, 2], [3, 1], [5, 1], [6, 1], [8, 1], [20, 1]], 1/57600], [[[1, 3], [2, 2], [3, 1], [5, 1], [6, 1], [8, 1], [24, 1]], 1/69120], [[[1, 3], [2, 2], [3, 1], [5, 1], [6, 1], [8, 1], [30, 1]], 1/86400], [[[1, 3], [2, 2], [3, 1], [5, 1], [6, 1], [8, 2], [10, 1]], 11/460800], [[[1, 3], [2, 2], [3, 1], [5, 1], [6, 1], [8, 2], [12, 1]], 7/3317760], [[[1, 3], [2, 2], [3, 1], [5, 1], [6, 1], [9, 1], [18, 1]], 77/699840], [[[1, 3], [2, 2], [3, 1], [5, 1], [6, 1], [10, 1], [12, 2]], 11/691200], [[[1, 3], [2, 2], [3, 1], [5, 1], [6, 1], [10, 1], [15, 1]], 11/72000], [[[1, 3], [2, 2], [3, 1], [5, 1], [6, 1], [10, 1], [20, 1]], 11/48000], [[[1, 3], [2, 2], [3, 1], [5, 1], [6, 1], [10, 1], [24, 1]], 11/57600], [[[1, 3], [2, 2], [3, 1], [5, 1], [6, 1], [10, 1], [30, 1]], 11/72000], [[[1, 3], [2, 2], [3, 1], [5, 1], [6, 1], [10, 2], [12, 1]], 7/10368000], [[[1, 3], [2, 2], [3, 1], [5, 1], [6, 1], [12, 1], [15, 1]], 7/518400], [[[1, 3], [2, 2], [3, 1], [5, 1], [6, 1], [12, 1], [20, 1]], 7/345600], [[[1, 3], [2, 2], [3, 1], [5, 1], [6, 1], [12, 1], [24, 1]], 7/414720], [[[1, 3], [2, 2], [3, 1], [5, 1], [6, 1], [12, 1], [30, 1]], 7/518400], [[[1, 3], [2, 2], [3, 1], [5, 1], [6, 1], [14, 1], [18, 1]], 1/60480], [[[1, 3], [2, 2], [3, 1], [5, 1], [6, 2], [7, 1], [12, 1]], 1/322560], [[[1, 3], [2, 2], [3, 1], [5, 1], [6, 2], [8, 1], [18, 1]], 1/155520], [[[1, 3], [2, 2], [3, 1], [5, 1], [6, 2], [9, 1], [12, 1]], 19/7464960], [[[1, 3], [2, 2], [3, 1], [5, 1], [6, 2], [10, 1], [18, 1]], 11/129600], [[[1, 3], [2, 2], [3, 1], [5, 1], [6, 2], [12, 1], [14, 1]], 1/322560], [[[1, 3], [2, 2], [3, 1], [5, 1], [6, 2], [12, 1], [18, 1]], 7/746496], [[[1, 3], [2, 2], [3, 1], [5, 1], [6, 3], [8, 1], [12, 1]], 1/829440], [[[1, 3], [2, 2], [3, 1], [5, 1], [6, 3], [10, 1], [12, 1]], 11/691200], [[[1, 3], [2, 2], [3, 1], [5, 2], [6, 1], [8, 1], [10, 1]], 1/3456000], [[[1, 3], [2, 2], [3, 1], [5, 2], [6, 1], [8, 1], [12, 1]], 7/8294400], [[[1, 3], [2, 2], [3, 1], [5, 2], [6, 1], [10, 1], [12, 1]], 1/2073600], [[[1, 3], [2, 2], [3, 1], [6, 1], [7, 1], [8, 1], [9, 1]], 1/72576], [[[1, 3], [2, 2], [3, 1], [6, 1], [7, 1], [8, 1], [18, 1]], 1/72576], [[[1, 3], [2, 2], [3, 1], [6, 1], [7, 1], [9, 1], [10, 1]], 1/60480], [[[1, 3], [2, 2], [3, 1], [6, 1], [7, 1], [9, 1], [12, 1]], 1/62208], [[[1, 3], [2, 2], [3, 1], [6, 1], [7, 1], [12, 1], [18, 1]], 1/62208], [[[1, 3], [2, 2], [3, 1], [6, 1], [8, 1], [9, 1], [14, 1]], 1/145152], [[[1, 3], [2, 2], [3, 1], [6, 1], [8, 1], [9, 1], [18, 1]], 7/69984], [[[1, 3], [2, 2], [3, 1], [6, 1], [8, 1], [10, 1], [12, 2]], 1/1658880], [[[1, 3], [2, 2], [3, 1], [6, 1], [8, 1], [10, 1], [15, 1]], 1/172800], [[[1, 3], [2, 2], [3, 1], [6, 1], [8, 1], [10, 1], [20, 1]], 1/115200], [[[1, 3], [2, 2], [3, 1], [6, 1], [8, 1], [10, 1], [24, 1]], 1/138240], [[[1, 3], [2, 2], [3, 1], [6, 1], [8, 1], [10, 1], [30, 1]], 1/172800], [[[1, 3], [2, 2], [3, 1], [6, 1], [8, 1], [10, 2], [12, 1]], 7/8294400], [[[1, 3], [2, 2], [3, 1], [6, 1], [8, 1], [12, 1], [15, 1]], 7/414720], [[[1, 3], [2, 2], [3, 1], [6, 1], [8, 1], [12, 1], [20, 1]], 7/276480], [[[1, 3], [2, 2], [3, 1], [6, 1], [8, 1], [12, 1], [24, 1]], 7/331776], [[[1, 3], [2, 2], [3, 1], [6, 1], [8, 1], [12, 1], [30, 1]], 7/414720], [[[1, 3], [2, 2], [3, 1], [6, 1], [8, 1], [14, 1], [18, 1]], 1/145152], [[[1, 3], [2, 2], [3, 1], [6, 1], [8, 2], [10, 1], [12, 1]], 1/663552], [[[1, 3], [2, 2], [3, 1], [6, 1], [9, 1], [10, 1], [14, 1]], 1/181440], [[[1, 3], [2, 2], [3, 1], [6, 1], [9, 1], [10, 1], [18, 1]], 1/15552], [[[1, 3], [2, 2], [3, 1], [6, 1], [9, 1], [12, 1], [14, 1]], 1/145152], [[[1, 3], [2, 2], [3, 1], [6, 1], [9, 1], [12, 1], [18, 1]], 1/69984], [[[1, 3], [2, 2], [3, 1], [6, 1], [10, 1], [12, 1], [15, 1]], 1/103680], [[[1, 3], [2, 2], [3, 1], [6, 1], [10, 1], [12, 1], [20, 1]], 1/69120], [[[1, 3], [2, 2], [3, 1], [6, 1], [10, 1], [12, 1], [24, 1]], 1/82944], [[[1, 3], [2, 2], [3, 1], [6, 1], [10, 1], [12, 1], [30, 1]], 1/103680], [[[1, 3], [2, 2], [3, 1], [6, 1], [12, 1], [14, 1], [18, 1]], 5/435456], [[[1, 3], [2, 2], [3, 1], [6, 2], [7, 1], [8, 1], [12, 1]], 1/387072], [[[1, 3], [2, 2], [3, 1], [6, 2], [8, 1], [9, 1], [10, 1]], 1/311040], [[[1, 3], [2, 2], [3, 1], [6, 2], [8, 1], [9, 1], [12, 1]], 71/11943936], [[[1, 3], [2, 2], [3, 1], [6, 2], [8, 1], [10, 1], [18, 1]], 1/311040], [[[1, 3], [2, 2], [3, 1], [6, 2], [8, 1], [12, 1], [14, 1]], 1/774144], [[[1, 3], [2, 2], [3, 1], [6, 2], [8, 1], [12, 1], [18, 1]], 31/2985984], [[[1, 3], [2, 2], [3, 1], [6, 2], [9, 1], [10, 1], [12, 1]], 1/276480], [[[1, 3], [2, 2], [3, 1], [6, 2], [10, 1], [12, 1], [18, 1]], 1/186624], [[[1, 3], [2, 2], [3, 1], [6, 3], [8, 1], [10, 1], [12, 1]], 1/1658880], [[[1, 3], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1], [8, 2]], 19/13271040], [[[1, 3], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1], [10, 2]], 19/41472000], [[[1, 3], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1], [12, 2]], 613/19906560], [[[1, 3], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1], [15, 1]], 19/2073600], [[[1, 3], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1], [16, 1]], 1/5760], [[[1, 3], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1], [20, 1]], 19/1382400], [[[1, 3], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1], [24, 1]], 307/1658880], [[[1, 3], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1], [30, 1]], 19/2073600], [[[1, 3], [2, 2], [3, 2], [4, 1], [5, 1], [6, 2], [7, 1]], 1/1935360], [[[1, 3], [2, 2], [3, 2], [4, 1], [5, 1], [6, 2], [9, 1]], 1/746496], [[[1, 3], [2, 2], [3, 2], [4, 1], [5, 1], [6, 2], [14, 1]], 1/3870720], [[[1, 3], [2, 2], [3, 2], [4, 1], [5, 1], [6, 2], [18, 1]], 79/14929920], [[[1, 3], [2, 2], [3, 2], [4, 1], [5, 1], [6, 3], [8, 1]], 1/6635520], [[[1, 3], [2, 2], [3, 2], [4, 1], [5, 1], [6, 3], [10, 1]], 161/8294400], [[[1, 3], [2, 2], [3, 2], [4, 1], [5, 1], [6, 3], [12, 1]], 67/59719680], [[[1, 3], [2, 2], [3, 2], [4, 1], [5, 1], [7, 1], [12, 1]], 1/322560], [[[1, 3], [2, 2], [3, 2], [4, 1], [5, 1], [8, 1], [9, 1]], 13/414720], [[[1, 3], [2, 2], [3, 2], [4, 1], [5, 1], [9, 1], [10, 1]], 1/129600], [[[1, 3], [2, 2], [3, 2], [4, 1], [5, 1], [9, 1], [12, 1]], 13/622080], [[[1, 3], [2, 2], [3, 2], [4, 1], [5, 1], [12, 1], [14, 1]], 1/645120], [[[1, 3], [2, 2], [3, 2], [4, 1], [5, 1], [12, 1], [18, 1]], 1/829440], [[[1, 3], [2, 2], [3, 2], [4, 1], [5, 2], [6, 1], [8, 1]], 11/22118400], [[[1, 3], [2, 2], [3, 2], [4, 1], [5, 2], [6, 1], [10, 1]], 1921/13824000], [[[1, 3], [2, 2], [3, 2], [4, 1], [5, 2], [6, 1], [12, 1]], 19/39813120], [[[1, 3], [2, 2], [3, 2], [4, 1], [6, 1], [7, 1], [9, 1]], 1/108864], [[[1, 3], [2, 2], [3, 2], [4, 1], [6, 1], [7, 1], [14, 1]], 1/32256], [[[1, 3], [2, 2], [3, 2], [4, 1], [6, 1], [8, 1], [10, 2]], 11/22118400], [[[1, 3], [2, 2], [3, 2], [4, 1], [6, 1], [8, 1], [12, 2]], 1277/10616832], [[[1, 3], [2, 2], [3, 2], [4, 1], [6, 1], [8, 1], [15, 1]], 11/1105920], [[[1, 3], [2, 2], [3, 2], [4, 1], [6, 1], [8, 1], [16, 1]], 13/73728], [[[1, 3], [2, 2], [3, 2], [4, 1], [6, 1], [8, 1], [20, 1]], 3/81920], [[[1, 3], [2, 2], [3, 2], [4, 1], [6, 1], [8, 1], [24, 1]], 139/884736], [[[1, 3], [2, 2], [3, 2], [4, 1], [6, 1], [8, 1], [30, 1]], 11/1105920], [[[1, 3], [2, 2], [3, 2], [4, 1], [6, 1], [8, 2], [10, 1]], 1/4423680], [[[1, 3], [2, 2], [3, 2], [4, 1], [6, 1], [8, 2], [12, 1]], 4901/63700992], [[[1, 3], [2, 2], [3, 2], [4, 1], [6, 1], [9, 1], [14, 1]], 1/217728], [[[1, 3], [2, 2], [3, 2], [4, 1], [6, 1], [9, 1], [18, 1]], 115/1119744], [[[1, 3], [2, 2], [3, 2], [4, 1], [6, 1], [10, 1], [12, 2]], 1/442368], [[[1, 3], [2, 2], [3, 2], [4, 1], [6, 1], [10, 1], [15, 1]], 1/691200], [[[1, 3], [2, 2], [3, 2], [4, 1], [6, 1], [10, 1], [20, 1]], 1/460800], [[[1, 3], [2, 2], [3, 2], [4, 1], [6, 1], [10, 1], [24, 1]], 1/552960], [[[1, 3], [2, 2], [3, 2], [4, 1], [6, 1], [10, 1], [30, 1]], 1/691200], [[[1, 3], [2, 2], [3, 2], [4, 1], [6, 1], [10, 2], [12, 1]], 239/199065600], [[[1, 3], [2, 2], [3, 2], [4, 1], [6, 1], [12, 1], [15, 1]], 19/1990656], [[[1, 3], [2, 2], [3, 2], [4, 1], [6, 1], [12, 1], [16, 1]], 1/6144], [[[1, 3], [2, 2], [3, 2], [4, 1], [6, 1], [12, 1], [20, 1]], 191/6635520], [[[1, 3], [2, 2], [3, 2], [4, 1], [6, 1], [12, 1], [24, 1]], 1391/7962624], [[[1, 3], [2, 2], [3, 2], [4, 1], [6, 1], [12, 1], [30, 1]], 19/1990656], [[[1, 3], [2, 2], [3, 2], [4, 1], [6, 2], [7, 1], [8, 1]], 11/6193152], [[[1, 3], [2, 2], [3, 2], [4, 1], [6, 2], [7, 1], [10, 1]], 1/1935360], [[[1, 3], [2, 2], [3, 2], [4, 1], [6, 2], [7, 1], [12, 1]], 73/1161216], [[[1, 3], [2, 2], [3, 2], [4, 1], [6, 2], [8, 1], [9, 1]], 29/3981312], [[[1, 3], [2, 2], [3, 2], [4, 1], [6, 2], [8, 1], [14, 1]], 1/1032192], [[[1, 3], [2, 2], [3, 2], [4, 1], [6, 2], [8, 1], [18, 1]], 149/23887872], [[[1, 3], [2, 2], [3, 2], [4, 1], [6, 2], [9, 1], [10, 1]], 13/3732480], [[[1, 3], [2, 2], [3, 2], [4, 1], [6, 2], [9, 1], [12, 1]], 31777/17915904], [[[1, 3], [2, 2], [3, 2], [4, 1], [6, 2], [10, 1], [14, 1]], 1/3870720], [[[1, 3], [2, 2], [3, 2], [4, 1], [6, 2], [10, 1], [18, 1]], 1/995328], [[[1, 3], [2, 2], [3, 2], [4, 1], [6, 2], [12, 1], [14, 1]], 73/2322432], [[[1, 3], [2, 2], [3, 2], [4, 1], [6, 2], [12, 1], [18, 1]], 31637/17915904], [[[1, 3], [2, 2], [3, 2], [4, 1], [6, 3], [8, 1], [10, 1]], 1/1658880], [[[1, 3], [2, 2], [3, 2], [4, 1], [6, 3], [8, 1], [12, 1]], 10331/286654464], [[[1, 3], [2, 2], [3, 2], [4, 1], [6, 3], [10, 1], [12, 1]], 179/11943936], [[[1, 3], [2, 2], [3, 2], [4, 1], [7, 1], [8, 1], [12, 1]], 11/1032192], [[[1, 3], [2, 2], [3, 2], [4, 1], [7, 1], [10, 1], [12, 1]], 1/322560], [[[1, 3], [2, 2], [3, 2], [4, 1], [8, 1], [9, 1], [10, 1]], 1/207360], [[[1, 3], [2, 2], [3, 2], [4, 1], [8, 1], [9, 1], [12, 1]], 71/1990656], [[[1, 3], [2, 2], [3, 2], [4, 1], [8, 1], [12, 1], [14, 1]], 1/172032], [[[1, 3], [2, 2], [3, 2], [4, 1], [8, 1], [12, 1], [18, 1]], 17/3981312], [[[1, 3], [2, 2], [3, 2], [4, 1], [9, 1], [10, 1], [12, 1]], 1/124416], [[[1, 3], [2, 2], [3, 2], [4, 1], [10, 1], [12, 1], [14, 1]], 1/645120], [[[1, 3], [2, 2], [3, 2], [4, 1], [10, 1], [12, 1], [18, 1]], 1/829440], [[[1, 3], [2, 2], [3, 2], [4, 2], [5, 1], [6, 1], [9, 1]], 13/3732480], [[[1, 3], [2, 2], [3, 2], [4, 2], [5, 1], [6, 1], [18, 1]], 1/3732480], [[[1, 3], [2, 2], [3, 2], [4, 2], [5, 1], [6, 2], [8, 1]], 11/17694720], [[[1, 3], [2, 2], [3, 2], [4, 2], [5, 1], [6, 2], [10, 1]], 331/5529600], [[[1, 3], [2, 2], [3, 2], [4, 2], [5, 1], [6, 2], [12, 1]], 869/29859840], [[[1, 3], [2, 2], [3, 2], [4, 2], [5, 1], [8, 1], [12, 1]], 227/26542080], [[[1, 3], [2, 2], [3, 2], [4, 2], [5, 1], [10, 1], [12, 1]], 11/921600], [[[1, 3], [2, 2], [3, 2], [4, 2], [6, 1], [7, 1], [12, 1]], 59/27869184], [[[1, 3], [2, 2], [3, 2], [4, 2], [6, 1], [8, 1], [9, 1]], 89/1492992], [[[1, 3], [2, 2], [3, 2], [4, 2], [6, 1], [8, 1], [18, 1]], 1/2985984], [[[1, 3], [2, 2], [3, 2], [4, 2], [6, 1], [9, 1], [10, 1]], 7/1866240], [[[1, 3], [2, 2], [3, 2], [4, 2], [6, 1], [9, 1], [12, 1]], 15047/107495424], [[[1, 3], [2, 2], [3, 2], [4, 2], [6, 1], [12, 1], [14, 1]], 1/1161216], [[[1, 3], [2, 2], [3, 2], [4, 2], [6, 1], [12, 1], [18, 1]], 1765/859963392], [[[1, 3], [2, 2], [3, 2], [4, 2], [6, 2], [8, 1], [10, 1]], 11/17694720], [[[1, 3], [2, 2], [3, 2], [4, 2], [6, 2], [8, 1], [12, 1]], 197/1492992], [[[1, 3], [2, 2], [3, 2], [4, 2], [6, 2], [10, 1], [12, 1]], 173/6635520], [[[1, 3], [2, 2], [3, 2], [4, 2], [8, 1], [10, 1], [12, 1]], 11/2949120], [[[1, 3], [2, 2], [3, 2], [4, 3], [5, 1], [6, 1], [8, 1]], 1/69120], [[[1, 3], [2, 2], [3, 2], [4, 3], [5, 1], [6, 1], [10, 1]], 1/138240], [[[1, 3], [2, 2], [3, 2], [4, 3], [5, 1], [6, 1], [12, 1]], 307/4976640], [[[1, 3], [2, 2], [3, 2], [4, 3], [6, 1], [8, 1], [12, 1]], 2675/42467328], [[[1, 3], [2, 2], [3, 2], [4, 3], [6, 1], [10, 1], [12, 1]], 17/26542080], [[[1, 3], [2, 2], [3, 2], [5, 1], [6, 1], [8, 1], [9, 1]], 1/155520], [[[1, 3], [2, 2], [3, 2], [5, 1], [6, 1], [8, 1], [18, 1]], 1/155520], [[[1, 3], [2, 2], [3, 2], [5, 1], [6, 1], [9, 1], [10, 1]], 11/129600], [[[1, 3], [2, 2], [3, 2], [5, 1], [6, 1], [9, 1], [12, 1]], 7/933120], [[[1, 3], [2, 2], [3, 2], [5, 1], [6, 1], [12, 1], [18, 1]], 61/7464960], [[[1, 3], [2, 2], [3, 2], [5, 1], [6, 2], [8, 1], [12, 1]], 1/829440], [[[1, 3], [2, 2], [3, 2], [6, 1], [7, 1], [8, 1], [12, 1]], 1/387072], [[[1, 3], [2, 2], [3, 2], [6, 1], [7, 1], [10, 1], [12, 1]], 1/322560], [[[1, 3], [2, 2], [3, 2], [6, 1], [8, 1], [9, 1], [10, 1]], 1/311040], [[[1, 3], [2, 2], [3, 2], [6, 1], [8, 1], [9, 1], [12, 1]], 1/93312], [[[1, 3], [2, 2], [3, 2], [6, 1], [8, 1], [12, 1], [14, 1]], 1/774144], [[[1, 3], [2, 2], [3, 2], [6, 1], [8, 1], [12, 1], [18, 1]], 83/11943936], [[[1, 3], [2, 2], [3, 2], [6, 1], [9, 1], [10, 1], [12, 1]], 5/746496], [[[1, 3], [2, 2], [3, 2], [6, 1], [10, 1], [12, 1], [14, 1]], 1/967680], [[[1, 3], [2, 2], [3, 2], [6, 1], [10, 1], [12, 1], [18, 1]], 1/829440], [[[1, 3], [2, 2], [3, 2], [6, 2], [8, 1], [10, 1], [12, 1]], 1/1658880], [[[1, 3], [2, 2], [3, 3], [4, 1], [5, 1], [6, 1], [9, 1]], 19/3732480], [[[1, 3], [2, 2], [3, 3], [4, 1], [5, 1], [6, 1], [18, 1]], 1/8398080], [[[1, 3], [2, 2], [3, 3], [4, 1], [5, 1], [6, 2], [8, 1]], 13/13271040], [[[1, 3], [2, 2], [3, 3], [4, 1], [5, 1], [6, 2], [10, 1]], 61/4147200], [[[1, 3], [2, 2], [3, 3], [4, 1], [5, 1], [6, 2], [12, 1]], 1333/44789760], [[[1, 3], [2, 2], [3, 3], [4, 1], [5, 1], [8, 1], [10, 1]], 1/311040], [[[1, 3], [2, 2], [3, 3], [4, 1], [5, 1], [8, 1], [12, 1]], 13/2211840], [[[1, 3], [2, 2], [3, 3], [4, 1], [5, 1], [10, 1], [12, 1]], 1/691200], [[[1, 3], [2, 2], [3, 3], [4, 1], [6, 1], [7, 1], [12, 1]], 1/580608], [[[1, 3], [2, 2], [3, 3], [4, 1], [6, 1], [8, 1], [9, 1]], 11/1990656], [[[1, 3], [2, 2], [3, 3], [4, 1], [6, 1], [8, 1], [18, 1]], 11/26873856], [[[1, 3], [2, 2], [3, 3], [4, 1], [6, 1], [9, 1], [10, 1]], 1/1244160], [[[1, 3], [2, 2], [3, 3], [4, 1], [6, 1], [9, 1], [12, 1]], 5221/5971968], [[[1, 3], [2, 2], [3, 3], [4, 1], [6, 1], [10, 1], [18, 1]], 1/8398080], [[[1, 3], [2, 2], [3, 3], [4, 1], [6, 1], [12, 1], [14, 1]], 1/1161216], [[[1, 3], [2, 2], [3, 3], [4, 1], [6, 1], [12, 1], [18, 1]], 46877/161243136], [[[1, 3], [2, 2], [3, 3], [4, 1], [6, 2], [8, 1], [10, 1]], 1/6635520], [[[1, 3], [2, 2], [3, 3], [4, 1], [6, 2], [8, 1], [12, 1]], 4637/143327232], [[[1, 3], [2, 2], [3, 3], [4, 1], [6, 2], [10, 1], [12, 1]], 37/44789760], [[[1, 3], [2, 2], [3, 3], [4, 1], [8, 1], [10, 1], [12, 1]], 1/1105920], [[[1, 3], [2, 2], [3, 3], [4, 2], [5, 1], [6, 1], [12, 1]], 19/11943936], [[[1, 3], [2, 2], [3, 3], [4, 2], [6, 1], [8, 1], [12, 1]], 2527/214990848], [[[1, 3], [2, 2], [3, 3], [4, 2], [6, 1], [10, 1], [12, 1]], 209/268738560], [[[1, 3], [2, 2], [3, 3], [5, 1], [6, 1], [8, 1], [12, 1]], 1/829440], [[[1, 3], [2, 2], [3, 3], [5, 1], [6, 1], [10, 1], [12, 1]], 11/691200], [[[1, 3], [2, 2], [3, 3], [6, 1], [8, 1], [10, 1], [12, 1]], 1/1658880], [[[1, 3], [2, 2], [3, 4], [4, 1], [5, 1], [6, 1], [8, 1]], 1/597196800], [[[1, 3], [2, 2], [3, 4], [4, 1], [5, 1], [6, 1], [10, 1]], 1601/746496000], [[[1, 3], [2, 2], [3, 4], [4, 1], [5, 1], [6, 1], [12, 1]], 571/597196800], [[[1, 3], [2, 2], [3, 4], [4, 1], [6, 1], [8, 1], [10, 1]], 1/149299200], [[[1, 3], [2, 2], [3, 4], [4, 1], [6, 1], [8, 1], [12, 1]], 541/191102976], [[[1, 3], [2, 2], [3, 4], [4, 1], [6, 1], [10, 1], [12, 1]], 277/1791590400], [[[1, 3], [2, 2], [4, 1], [5, 1], [6, 1], [7, 1], [18, 1]], 1/60480], [[[1, 3], [2, 2], [4, 1], [5, 1], [6, 1], [8, 1], [10, 2]], 241/2304000], [[[1, 3], [2, 2], [4, 1], [5, 1], [6, 1], [8, 1], [12, 2]], 1/1105920], [[[1, 3], [2, 2], [4, 1], [5, 1], [6, 1], [8, 1], [15, 1]], 1/115200], [[[1, 3], [2, 2], [4, 1], [5, 1], [6, 1], [8, 1], [20, 1]], 1/76800], [[[1, 3], [2, 2], [4, 1], [5, 1], [6, 1], [8, 1], [24, 1]], 1/92160], [[[1, 3], [2, 2], [4, 1], [5, 1], [6, 1], [8, 1], [30, 1]], 1/115200], [[[1, 3], [2, 2], [4, 1], [5, 1], [6, 1], [8, 2], [10, 1]], 121/921600], [[[1, 3], [2, 2], [4, 1], [5, 1], [6, 1], [8, 2], [12, 1]], 1/737280], [[[1, 3], [2, 2], [4, 1], [5, 1], [6, 1], [9, 1], [18, 1]], 1/116640], [[[1, 3], [2, 2], [4, 1], [5, 1], [6, 1], [10, 1], [12, 2]], 1/1382400], [[[1, 3], [2, 2], [4, 1], [5, 1], [6, 1], [10, 1], [15, 1]], 1/144000], [[[1, 3], [2, 2], [4, 1], [5, 1], [6, 1], [10, 1], [20, 1]], 1/96000], [[[1, 3], [2, 2], [4, 1], [5, 1], [6, 1], [10, 1], [24, 1]], 1/115200], [[[1, 3], [2, 2], [4, 1], [5, 1], [6, 1], [10, 1], [30, 1]], 1/144000], [[[1, 3], [2, 2], [4, 1], [5, 1], [6, 1], [10, 2], [12, 1]], 1/2304000], [[[1, 3], [2, 2], [4, 1], [5, 1], [6, 1], [12, 1], [15, 1]], 1/115200], [[[1, 3], [2, 2], [4, 1], [5, 1], [6, 1], [12, 1], [20, 1]], 1/76800], [[[1, 3], [2, 2], [4, 1], [5, 1], [6, 1], [12, 1], [24, 1]], 1/92160], [[[1, 3], [2, 2], [4, 1], [5, 1], [6, 1], [12, 1], [30, 1]], 1/115200], [[[1, 3], [2, 2], [4, 1], [5, 1], [6, 1], [14, 1], [18, 1]], 1/120960], [[[1, 3], [2, 2], [4, 1], [5, 1], [6, 2], [7, 1], [12, 1]], 1/322560], [[[1, 3], [2, 2], [4, 1], [5, 1], [6, 2], [8, 1], [18, 1]], 1/207360], [[[1, 3], [2, 2], [4, 1], [5, 1], [6, 2], [9, 1], [12, 1]], 1/622080], [[[1, 3], [2, 2], [4, 1], [5, 1], [6, 2], [10, 1], [18, 1]], 1/259200], [[[1, 3], [2, 2], [4, 1], [5, 1], [6, 2], [12, 1], [14, 1]], 1/645120], [[[1, 3], [2, 2], [4, 1], [5, 1], [6, 2], [12, 1], [18, 1]], 1/165888], [[[1, 3], [2, 2], [4, 1], [5, 1], [6, 3], [8, 1], [10, 1]], 1/414720], [[[1, 3], [2, 2], [4, 1], [5, 1], [6, 3], [8, 1], [12, 1]], 1/1105920], [[[1, 3], [2, 2], [4, 1], [5, 1], [6, 3], [10, 1], [12, 1]], 1/1382400], [[[1, 3], [2, 2], [4, 1], [5, 1], [7, 1], [8, 1], [10, 1]], 1/2240], [[[1, 3], [2, 2], [4, 1], [5, 1], [8, 1], [9, 1], [10, 1]], 1/4320], [[[1, 3], [2, 2], [4, 1], [5, 1], [8, 1], [10, 1], [14, 1]], 1/4480], [[[1, 3], [2, 2], [4, 1], [5, 1], [8, 1], [10, 1], [18, 1]], 1/5760], [[[1, 3], [2, 2], [4, 1], [5, 2], [6, 1], [8, 1], [10, 1]], 1/576000], [[[1, 3], [2, 2], [4, 1], [5, 2], [6, 1], [8, 1], [12, 1]], 1/442368], [[[1, 3], [2, 2], [4, 1], [5, 2], [6, 1], [10, 1], [12, 1]], 7/6912000], [[[1, 3], [2, 2], [4, 1], [6, 1], [7, 1], [8, 1], [14, 1]], 1/5376], [[[1, 3], [2, 2], [4, 1], [6, 1], [7, 1], [8, 1], [18, 1]], 11/193536], [[[1, 3], [2, 2], [4, 1], [6, 1], [7, 1], [10, 1], [14, 1]], 1/6720], [[[1, 3], [2, 2], [4, 1], [6, 1], [7, 1], [10, 1], [18, 1]], 1/60480], [[[1, 3], [2, 2], [4, 1], [6, 1], [7, 1], [12, 1], [14, 1]], 1/5376], [[[1, 3], [2, 2], [4, 1], [6, 1], [7, 1], [12, 1], [18, 1]], 1/36288], [[[1, 3], [2, 2], [4, 1], [6, 1], [8, 1], [9, 1], [18, 1]], 65/373248], [[[1, 3], [2, 2], [4, 1], [6, 1], [8, 1], [10, 1], [12, 2]], 1/276480], [[[1, 3], [2, 2], [4, 1], [6, 1], [8, 1], [10, 1], [15, 1]], 1/28800], [[[1, 3], [2, 2], [4, 1], [6, 1], [8, 1], [10, 1], [16, 1]], 1/3072], [[[1, 3], [2, 2], [4, 1], [6, 1], [8, 1], [10, 1], [20, 1]], 1/6400], [[[1, 3], [2, 2], [4, 1], [6, 1], [8, 1], [10, 1], [24, 1]], 1/4608], [[[1, 3], [2, 2], [4, 1], [6, 1], [8, 1], [10, 1], [30, 1]], 1/28800], [[[1, 3], [2, 2], [4, 1], [6, 1], [8, 1], [10, 2], [12, 1]], 1/442368], [[[1, 3], [2, 2], [4, 1], [6, 1], [8, 1], [12, 1], [15, 1]], 5/110592], [[[1, 3], [2, 2], [4, 1], [6, 1], [8, 1], [12, 1], [16, 1]], 19/36864], [[[1, 3], [2, 2], [4, 1], [6, 1], [8, 1], [12, 1], [20, 1]], 7/24576], [[[1, 3], [2, 2], [4, 1], [6, 1], [8, 1], [12, 1], [24, 1]], 169/442368], [[[1, 3], [2, 2], [4, 1], [6, 1], [8, 1], [12, 1], [30, 1]], 5/110592], [[[1, 3], [2, 2], [4, 1], [6, 1], [8, 1], [14, 1], [18, 1]], 1/32256], [[[1, 3], [2, 2], [4, 1], [6, 1], [8, 2], [10, 1], [12, 1]], 7/2211840], [[[1, 3], [2, 2], [4, 1], [6, 1], [9, 1], [10, 1], [18, 1]], 29/233280], [[[1, 3], [2, 2], [4, 1], [6, 1], [9, 1], [12, 1], [18, 1]], 89/559872], [[[1, 3], [2, 2], [4, 1], [6, 1], [10, 1], [12, 1], [15, 1]], 7/345600], [[[1, 3], [2, 2], [4, 1], [6, 1], [10, 1], [12, 1], [16, 1]], 1/11520], [[[1, 3], [2, 2], [4, 1], [6, 1], [10, 1], [12, 1], [20, 1]], 23/230400], [[[1, 3], [2, 2], [4, 1], [6, 1], [10, 1], [12, 1], [24, 1]], 31/276480], [[[1, 3], [2, 2], [4, 1], [6, 1], [10, 1], [12, 1], [30, 1]], 7/345600], [[[1, 3], [2, 2], [4, 1], [6, 1], [10, 1], [14, 1], [18, 1]], 1/120960], [[[1, 3], [2, 2], [4, 1], [6, 1], [12, 1], [14, 1], [18, 1]], 1/72576], [[[1, 3], [2, 2], [4, 1], [6, 2], [7, 1], [8, 1], [12, 1]], 11/1032192], [[[1, 3], [2, 2], [4, 1], [6, 2], [7, 1], [10, 1], [12, 1]], 1/322560], [[[1, 3], [2, 2], [4, 1], [6, 2], [8, 1], [9, 1], [12, 1]], 11/1990656], [[[1, 3], [2, 2], [4, 1], [6, 2], [8, 1], [10, 1], [18, 1]], 1/51840], [[[1, 3], [2, 2], [4, 1], [6, 2], [8, 1], [12, 1], [14, 1]], 1/172032], [[[1, 3], [2, 2], [4, 1], [6, 2], [8, 1], [12, 1], [18, 1]], 13/442368], [[[1, 3], [2, 2], [4, 1], [6, 2], [9, 1], [10, 1], [12, 1]], 1/622080], [[[1, 3], [2, 2], [4, 1], [6, 2], [10, 1], [12, 1], [14, 1]], 1/645120], [[[1, 3], [2, 2], [4, 1], [6, 2], [10, 1], [12, 1], [18, 1]], 31/2488320], [[[1, 3], [2, 2], [4, 1], [6, 3], [8, 1], [10, 1], [12, 1]], 1/276480], [[[1, 3], [2, 2], [4, 2], [5, 1], [6, 1], [8, 1], [18, 1]], 11/552960], [[[1, 3], [2, 2], [4, 2], [5, 1], [6, 1], [10, 1], [18, 1]], 11/172800], [[[1, 3], [2, 2], [4, 2], [5, 1], [6, 1], [12, 1], [18, 1]], 23/1866240], [[[1, 3], [2, 2], [4, 2], [5, 1], [6, 2], [8, 1], [12, 1]], 11/2949120], [[[1, 3], [2, 2], [4, 2], [5, 1], [6, 2], [10, 1], [12, 1]], 11/921600], [[[1, 3], [2, 2], [4, 2], [5, 1], [8, 1], [10, 1], [12, 1]], 1/3840], [[[1, 3], [2, 2], [4, 2], [6, 1], [7, 1], [8, 1], [12, 1]], 1/96768], [[[1, 3], [2, 2], [4, 2], [6, 1], [7, 1], [10, 1], [12, 1]], 1/80640], [[[1, 3], [2, 2], [4, 2], [6, 1], [8, 1], [9, 1], [12, 1]], 1/186624], [[[1, 3], [2, 2], [4, 2], [6, 1], [8, 1], [10, 1], [18, 1]], 11/552960], [[[1, 3], [2, 2], [4, 2], [6, 1], [8, 1], [12, 1], [14, 1]], 1/193536], [[[1, 3], [2, 2], [4, 2], [6, 1], [8, 1], [12, 1], [18, 1]], 131/1492992], [[[1, 3], [2, 2], [4, 2], [6, 1], [9, 1], [10, 1], [12, 1]], 1/186624], [[[1, 3], [2, 2], [4, 2], [6, 1], [10, 1], [12, 1], [14, 1]], 1/241920], [[[1, 3], [2, 2], [4, 2], [6, 1], [10, 1], [12, 1], [18, 1]], 1/69120], [[[1, 3], [2, 2], [4, 2], [6, 2], [8, 1], [10, 1], [12, 1]], 163/26542080], [[[1, 3], [2, 2], [4, 3], [5, 1], [6, 1], [8, 1], [12, 1]], 1/276480], [[[1, 3], [2, 2], [4, 3], [5, 1], [6, 1], [10, 1], [12, 1]], 1/345600], [[[1, 3], [2, 2], [4, 3], [6, 1], [8, 1], [10, 1], [12, 1]], 1/27648], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [8, 2]], 1/27648], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [10, 2]], 7/34560], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [12, 2]], 67/1658880], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [15, 1]], 1/43200], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [16, 1]], 1/15360], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [20, 1]], 1/28800], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [24, 1]], 19/138240], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [30, 1]], 1/43200], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [6, 2], [7, 1]], 1/645120], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [6, 2], [9, 1]], 19/7464960], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [6, 2], [14, 1]], 1/276480], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [6, 2], [18, 1]], 109/7464960], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [6, 3], [8, 1]], 91/59719680], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [6, 3], [10, 1]], 121/4665600], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [6, 3], [12, 1]], 61/14929920], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [7, 1], [8, 1]], 17/430080], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [7, 1], [10, 1]], 1/134400], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [7, 1], [12, 1]], 1/46080], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [8, 1], [9, 1]], 49/1105920], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [8, 1], [14, 1]], 1/10240], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [8, 1], [18, 1]], 37/829440], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [9, 1], [10, 1]], 1/19200], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [9, 1], [12, 1]], 1/46080], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [10, 1], [14, 1]], 1/44800], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [10, 1], [18, 1]], 1/103680], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [12, 1], [14, 1]], 19/322560], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [12, 1], [18, 1]], 11/414720], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 2], [6, 1], [8, 1]], 323/33177600], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 2], [6, 1], [10, 1]], 871/5184000], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 2], [6, 1], [12, 1]], 11/921600], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [7, 1], [9, 1]], 1/72576], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [7, 1], [14, 1]], 13/28224], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [7, 1], [18, 1]], 1/62208], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [10, 2]], 467/33177600], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [12, 2]], 1601/15925248], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [15, 1]], 179/1658880], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [16, 1]], 59/73728], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [20, 1]], 419/1105920], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [24, 1]], 983/1327104], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [30, 1]], 179/1658880], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [8, 2], [10, 1]], 167/3317760], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [8, 2], [12, 1]], 11/73728], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [9, 1], [14, 1]], 11/435456], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [9, 1], [18, 1]], 2119/6718464], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [10, 1], [12, 2]], 263/4976640], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [10, 1], [15, 1]], 7/259200], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [10, 1], [16, 1]], 1/9216], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [10, 1], [20, 1]], 7/172800], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [10, 1], [24, 1]], 77/414720], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [10, 1], [30, 1]], 7/259200], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [10, 2], [12, 1]], 41/2764800], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [12, 1], [15, 1]], 13/138240], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [12, 1], [16, 1]], 5/27648], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [12, 1], [20, 1]], 79/276480], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [12, 1], [24, 1]], 41/110592], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [12, 1], [30, 1]], 13/138240], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [14, 1], [18, 1]], 11/435456], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 2], [7, 1], [8, 1]], 23/2064384], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 2], [7, 1], [10, 1]], 1/71680], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 2], [7, 1], [12, 1]], 1/82944], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 2], [8, 1], [9, 1]], 1151/71663616], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 2], [8, 1], [14, 1]], 71/3096576], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 2], [8, 1], [18, 1]], 853/11943936], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 2], [9, 1], [10, 1]], 107/7464960], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 2], [9, 1], [12, 1]], 233/15925248], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 2], [10, 1], [14, 1]], 31/1935360], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 2], [10, 1], [18, 1]], 181/7464960], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 2], [12, 1], [14, 1]], 23/1161216], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 2], [12, 1], [18, 1]], 1123/17915904], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 3], [8, 1], [10, 1]], 701/59719680], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 3], [8, 1], [12, 1]], 2015/47775744], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 3], [10, 1], [12, 1]], 569/44789760], [[[1, 3], [2, 4], [3, 1], [4, 1], [7, 1], [8, 1], [10, 1]], 1/107520], [[[1, 3], [2, 4], [3, 1], [4, 1], [7, 1], [8, 1], [12, 1]], 53/1032192], [[[1, 3], [2, 4], [3, 1], [4, 1], [7, 1], [10, 1], [12, 1]], 1/107520], [[[1, 3], [2, 4], [3, 1], [4, 1], [8, 1], [9, 1], [10, 1]], 233/8294400], [[[1, 3], [2, 4], [3, 1], [4, 1], [8, 1], [9, 1], [12, 1]], 71/1327104], [[[1, 3], [2, 4], [3, 1], [4, 1], [8, 1], [10, 1], [14, 1]], 1/53760], [[[1, 3], [2, 4], [3, 1], [4, 1], [8, 1], [10, 1], [18, 1]], 1/103680], [[[1, 3], [2, 4], [3, 1], [4, 1], [8, 1], [12, 1], [14, 1]], 55/516096], [[[1, 3], [2, 4], [3, 1], [4, 1], [8, 1], [12, 1], [18, 1]], 35/663552], [[[1, 3], [2, 4], [3, 1], [4, 1], [9, 1], [10, 1], [12, 1]], 19/1244160], [[[1, 3], [2, 4], [3, 1], [4, 1], [10, 1], [12, 1], [14, 1]], 1/46080], [[[1, 3], [2, 4], [3, 1], [4, 1], [10, 1], [12, 1], [18, 1]], 13/1244160], [[[1, 3], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1], [7, 1]], 1/129024], [[[1, 3], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1], [9, 1]], 29/2985984], [[[1, 3], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1], [14, 1]], 1/71680], [[[1, 3], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1], [18, 1]], 1403/119439360], [[[1, 3], [2, 4], [3, 1], [4, 2], [5, 1], [6, 2], [8, 1]], 107/13271040], [[[1, 3], [2, 4], [3, 1], [4, 2], [5, 1], [6, 2], [10, 1]], 251/2764800], [[[1, 3], [2, 4], [3, 1], [4, 2], [5, 1], [6, 2], [12, 1]], 10823/1146617856], [[[1, 3], [2, 4], [3, 1], [4, 2], [5, 1], [8, 1], [10, 1]], 77/460800], [[[1, 3], [2, 4], [3, 1], [4, 2], [5, 1], [8, 1], [12, 1]], 757/6635520], [[[1, 3], [2, 4], [3, 1], [4, 2], [5, 1], [10, 1], [12, 1]], 193/2304000], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 1], [7, 1], [8, 1]], 13/110592], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 1], [7, 1], [10, 1]], 13/1935360], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 1], [7, 1], [12, 1]], 157/580608], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 1], [8, 1], [9, 1]], 5005/47775744], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 1], [8, 1], [14, 1]], 89/387072], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 1], [8, 1], [18, 1]], 6265/47775744], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 1], [9, 1], [10, 1]], 119/9953280], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 1], [9, 1], [12, 1]], 7807/35831808], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 1], [10, 1], [14, 1]], 1/71680], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 1], [10, 1], [18, 1]], 751/74649600], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 1], [12, 1], [14, 1]], 415/774144], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 1], [12, 1], [18, 1]], 244885/859963392], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 2], [8, 1], [10, 1]], 1523/13271040], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 2], [8, 1], [12, 1]], 243755/764411904], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 2], [10, 1], [12, 1]], 308071/1194393600], [[[1, 3], [2, 4], [3, 1], [4, 2], [8, 1], [10, 1], [12, 1]], 49/1327104], [[[1, 3], [2, 4], [3, 1], [4, 3], [5, 1], [6, 1], [8, 1]], 49/552960], [[[1, 3], [2, 4], [3, 1], [4, 3], [5, 1], [6, 1], [10, 1]], 347/3686400], [[[1, 3], [2, 4], [3, 1], [4, 3], [5, 1], [6, 1], [12, 1]], 949/4423680], [[[1, 3], [2, 4], [3, 1], [4, 3], [6, 1], [8, 1], [10, 1]], 101/1105920], [[[1, 3], [2, 4], [3, 1], [4, 3], [6, 1], [8, 1], [12, 1]], 3683/3981312], [[[1, 3], [2, 4], [3, 1], [4, 3], [6, 1], [10, 1], [12, 1]], 9163/39813120], [[[1, 3], [2, 4], [3, 1], [5, 1], [6, 1], [7, 1], [8, 1]], 1/161280], [[[1, 3], [2, 4], [3, 1], [5, 1], [6, 1], [7, 1], [10, 1]], 17/100800], [[[1, 3], [2, 4], [3, 1], [5, 1], [6, 1], [7, 1], [12, 1]], 1/80640], [[[1, 3], [2, 4], [3, 1], [5, 1], [6, 1], [8, 1], [9, 1]], 1/138240], [[[1, 3], [2, 4], [3, 1], [5, 1], [6, 1], [8, 1], [14, 1]], 1/53760], [[[1, 3], [2, 4], [3, 1], [5, 1], [6, 1], [8, 1], [18, 1]], 17/1244160], [[[1, 3], [2, 4], [3, 1], [5, 1], [6, 1], [9, 1], [10, 1]], 13/97200], [[[1, 3], [2, 4], [3, 1], [5, 1], [6, 1], [9, 1], [12, 1]], 23/1866240], [[[1, 3], [2, 4], [3, 1], [5, 1], [6, 1], [10, 1], [14, 1]], 11/33600], [[[1, 3], [2, 4], [3, 1], [5, 1], [6, 1], [10, 1], [18, 1]], 113/648000], [[[1, 3], [2, 4], [3, 1], [5, 1], [6, 1], [12, 1], [14, 1]], 1/40320], [[[1, 3], [2, 4], [3, 1], [5, 1], [6, 1], [12, 1], [18, 1]], 53/3732480], [[[1, 3], [2, 4], [3, 1], [5, 1], [6, 2], [8, 1], [10, 1]], 11/115200], [[[1, 3], [2, 4], [3, 1], [5, 1], [6, 2], [8, 1], [12, 1]], 47/6635520], [[[1, 3], [2, 4], [3, 1], [5, 1], [6, 2], [10, 1], [12, 1]], 443/3456000], [[[1, 3], [2, 4], [3, 1], [6, 1], [7, 1], [8, 1], [10, 1]], 1/53760], [[[1, 3], [2, 4], [3, 1], [6, 1], [7, 1], [8, 1], [12, 1]], 1/48384], [[[1, 3], [2, 4], [3, 1], [6, 1], [7, 1], [10, 1], [12, 1]], 1/48384], [[[1, 3], [2, 4], [3, 1], [6, 1], [8, 1], [9, 1], [10, 1]], 13/622080], [[[1, 3], [2, 4], [3, 1], [6, 1], [8, 1], [9, 1], [12, 1]], 29/1492992], [[[1, 3], [2, 4], [3, 1], [6, 1], [8, 1], [10, 1], [14, 1]], 1/53760], [[[1, 3], [2, 4], [3, 1], [6, 1], [8, 1], [10, 1], [18, 1]], 19/1244160], [[[1, 3], [2, 4], [3, 1], [6, 1], [8, 1], [12, 1], [14, 1]], 1/27648], [[[1, 3], [2, 4], [3, 1], [6, 1], [8, 1], [12, 1], [18, 1]], 67/2985984], [[[1, 3], [2, 4], [3, 1], [6, 1], [9, 1], [10, 1], [12, 1]], 11/622080], [[[1, 3], [2, 4], [3, 1], [6, 1], [10, 1], [12, 1], [14, 1]], 1/40320], [[[1, 3], [2, 4], [3, 1], [6, 1], [10, 1], [12, 1], [18, 1]], 173/9331200], [[[1, 3], [2, 4], [3, 1], [6, 2], [8, 1], [10, 1], [12, 1]], 13/737280], [[[1, 3], [2, 4], [3, 2], [4, 1], [5, 1], [6, 1], [7, 1]], 13/1935360], [[[1, 3], [2, 4], [3, 2], [4, 1], [5, 1], [6, 1], [9, 1]], 133/7464960], [[[1, 3], [2, 4], [3, 2], [4, 1], [5, 1], [6, 1], [14, 1]], 31/1935360], [[[1, 3], [2, 4], [3, 2], [4, 1], [5, 1], [6, 1], [18, 1]], 77/7464960], [[[1, 3], [2, 4], [3, 2], [4, 1], [5, 1], [6, 2], [8, 1]], 55/7077888], [[[1, 3], [2, 4], [3, 2], [4, 1], [5, 1], [6, 2], [10, 1]], 11/51840], [[[1, 3], [2, 4], [3, 2], [4, 1], [5, 1], [6, 2], [12, 1]], 43/2211840], [[[1, 3], [2, 4], [3, 2], [4, 1], [5, 1], [8, 1], [10, 1]], 1/38400], [[[1, 3], [2, 4], [3, 2], [4, 1], [5, 1], [8, 1], [12, 1]], 569/17694720], [[[1, 3], [2, 4], [3, 2], [4, 1], [5, 1], [10, 1], [12, 1]], 1/76800], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 1], [7, 1], [8, 1]], 5/344064], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 1], [7, 1], [10, 1]], 1/387072], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 1], [7, 1], [12, 1]], 25/2322432], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 1], [8, 1], [9, 1]], 31/442368], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 1], [8, 1], [14, 1]], 71/3096576], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 1], [8, 1], [18, 1]], 35/1990656], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 1], [9, 1], [10, 1]], 25/1492992], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 1], [9, 1], [12, 1]], 1075/17915904], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 1], [10, 1], [14, 1]], 1/276480], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 1], [10, 1], [18, 1]], 7/2488320], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 1], [12, 1], [14, 1]], 23/1161216], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 1], [12, 1], [18, 1]], 2017/143327232], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 2], [8, 1], [10, 1]], 397/29491200], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 2], [8, 1], [12, 1]], 30259/191102976], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 2], [10, 1], [12, 1]], 121/3981312], [[[1, 3], [2, 4], [3, 2], [4, 1], [8, 1], [10, 1], [12, 1]], 413/44236800], [[[1, 3], [2, 4], [3, 2], [4, 2], [5, 1], [6, 1], [8, 1]], 421/6635520], [[[1, 3], [2, 4], [3, 2], [4, 2], [5, 1], [6, 1], [10, 1]], 289/4147200], [[[1, 3], [2, 4], [3, 2], [4, 2], [5, 1], [6, 1], [12, 1]], 31873/238878720], [[[1, 3], [2, 4], [3, 2], [4, 2], [6, 1], [8, 1], [10, 1]], 59/6635520], [[[1, 3], [2, 4], [3, 2], [4, 2], [6, 1], [8, 1], [12, 1]], 221527/764411904], [[[1, 3], [2, 4], [3, 2], [4, 2], [6, 1], [10, 1], [12, 1]], 4427/477757440], [[[1, 3], [2, 4], [3, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 11/115200], [[[1, 3], [2, 4], [3, 2], [5, 1], [6, 1], [8, 1], [12, 1]], 67/6635520], [[[1, 3], [2, 4], [3, 2], [5, 1], [6, 1], [10, 1], [12, 1]], 101/1036800], [[[1, 3], [2, 4], [3, 2], [6, 1], [8, 1], [10, 1], [12, 1]], 17/1658880], [[[1, 3], [2, 4], [3, 3], [4, 1], [5, 1], [6, 1], [8, 1]], 161/19906560], [[[1, 3], [2, 4], [3, 3], [4, 1], [5, 1], [6, 1], [10, 1]], 37/2332800], [[[1, 3], [2, 4], [3, 3], [4, 1], [5, 1], [6, 1], [12, 1]], 371/44789760], [[[1, 3], [2, 4], [3, 3], [4, 1], [6, 1], [8, 1], [10, 1]], 13/6635520], [[[1, 3], [2, 4], [3, 3], [4, 1], [6, 1], [8, 1], [12, 1]], 4813/143327232], [[[1, 3], [2, 4], [3, 3], [4, 1], [6, 1], [10, 1], [12, 1]], 41/8957952], [[[1, 3], [2, 4], [4, 1], [5, 1], [6, 1], [7, 1], [8, 1]], 1/107520], [[[1, 3], [2, 4], [4, 1], [5, 1], [6, 1], [7, 1], [10, 1]], 1/44800], [[[1, 3], [2, 4], [4, 1], [5, 1], [6, 1], [7, 1], [12, 1]], 1/64512], [[[1, 3], [2, 4], [4, 1], [5, 1], [6, 1], [8, 1], [9, 1]], 1/138240], [[[1, 3], [2, 4], [4, 1], [5, 1], [6, 1], [8, 1], [14, 1]], 1/53760], [[[1, 3], [2, 4], [4, 1], [5, 1], [6, 1], [8, 1], [18, 1]], 1/40960], [[[1, 3], [2, 4], [4, 1], [5, 1], [6, 1], [9, 1], [10, 1]], 7/518400], [[[1, 3], [2, 4], [4, 1], [5, 1], [6, 1], [9, 1], [12, 1]], 13/1244160], [[[1, 3], [2, 4], [4, 1], [5, 1], [6, 1], [10, 1], [14, 1]], 1/44800], [[[1, 3], [2, 4], [4, 1], [5, 1], [6, 1], [10, 1], [18, 1]], 31/518400], [[[1, 3], [2, 4], [4, 1], [5, 1], [6, 1], [12, 1], [14, 1]], 1/46080], [[[1, 3], [2, 4], [4, 1], [5, 1], [6, 1], [12, 1], [18, 1]], 7/414720], [[[1, 3], [2, 4], [4, 1], [5, 1], [6, 2], [8, 1], [10, 1]], 31/691200], [[[1, 3], [2, 4], [4, 1], [5, 1], [6, 2], [8, 1], [12, 1]], 59/5898240], [[[1, 3], [2, 4], [4, 1], [5, 1], [6, 2], [10, 1], [12, 1]], 13/691200], [[[1, 3], [2, 4], [4, 1], [6, 1], [7, 1], [8, 1], [10, 1]], 19/215040], [[[1, 3], [2, 4], [4, 1], [6, 1], [7, 1], [8, 1], [12, 1]], 37/516096], [[[1, 3], [2, 4], [4, 1], [6, 1], [7, 1], [10, 1], [12, 1]], 17/322560], [[[1, 3], [2, 4], [4, 1], [6, 1], [8, 1], [9, 1], [10, 1]], 1/18432], [[[1, 3], [2, 4], [4, 1], [6, 1], [8, 1], [9, 1], [12, 1]], 97/1990656], [[[1, 3], [2, 4], [4, 1], [6, 1], [8, 1], [10, 1], [14, 1]], 1/10240], [[[1, 3], [2, 4], [4, 1], [6, 1], [8, 1], [10, 1], [18, 1]], 643/8294400], [[[1, 3], [2, 4], [4, 1], [6, 1], [8, 1], [12, 1], [14, 1]], 55/516096], [[[1, 3], [2, 4], [4, 1], [6, 1], [8, 1], [12, 1], [18, 1]], 145/1990656], [[[1, 3], [2, 4], [4, 1], [6, 1], [9, 1], [10, 1], [12, 1]], 41/1244160], [[[1, 3], [2, 4], [4, 1], [6, 1], [10, 1], [12, 1], [14, 1]], 19/322560], [[[1, 3], [2, 4], [4, 1], [6, 1], [10, 1], [12, 1], [18, 1]], 53/1244160], [[[1, 3], [2, 4], [4, 1], [6, 2], [8, 1], [10, 1], [12, 1]], 2693/44236800], [[[1, 3], [2, 4], [4, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 21/102400], [[[1, 3], [2, 4], [4, 2], [5, 1], [6, 1], [8, 1], [12, 1]], 47/1105920], [[[1, 3], [2, 4], [4, 2], [5, 1], [6, 1], [10, 1], [12, 1]], 121/1036800], [[[1, 3], [2, 4], [4, 2], [6, 1], [8, 1], [10, 1], [12, 1]], 43/221184], [[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1]], 1/215040], [[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1], [9, 1]], 83/18662400], [[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1], [14, 1]], 19/645120], [[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1], [18, 1]], 49/4665600], [[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [6, 2], [8, 1]], 1001/159252480], [[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1]], 5051/124416000], [[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [6, 2], [12, 1]], 1877/199065600], [[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [8, 1], [10, 1]], 683/55296000], [[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [8, 1], [12, 1]], 23/8847360], [[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [10, 1], [12, 1]], 41/6912000], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 1], [7, 1], [8, 1]], 29/1548288], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 1], [7, 1], [10, 1]], 11/1075200], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 1], [7, 1], [12, 1]], 11/1161216], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 1], [8, 1], [9, 1]], 70381/4299816960], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 1], [8, 1], [14, 1]], 59/442368], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 1], [8, 1], [18, 1]], 21421/477757440], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 1], [9, 1], [10, 1]], 119/11059200], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 1], [9, 1], [12, 1]], 5911/716636160], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 1], [10, 1], [14, 1]], 31/806400], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 1], [10, 1], [18, 1]], 2417/149299200], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 1], [12, 1], [14, 1]], 73/663552], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 1], [12, 1], [18, 1]], 1507/44789760], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 2], [8, 1], [10, 1]], 53993/796262400], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 2], [8, 1], [12, 1]], 22849/509607936], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 2], [10, 1], [12, 1]], 143699/2388787200], [[[1, 3], [2, 6], [3, 1], [4, 1], [8, 1], [10, 1], [12, 1]], 127/8847360], [[[1, 3], [2, 6], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1]], 983/53084160], [[[1, 3], [2, 6], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1]], 2951/73728000], [[[1, 3], [2, 6], [3, 1], [4, 2], [5, 1], [6, 1], [12, 1]], 428443/42998169600], [[[1, 3], [2, 6], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1]], 29519/530841600], [[[1, 3], [2, 6], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 4243/47185920], [[[1, 3], [2, 6], [3, 1], [4, 2], [6, 1], [10, 1], [12, 1]], 79277/955514880], [[[1, 3], [2, 6], [3, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 83/4608000], [[[1, 3], [2, 6], [3, 1], [5, 1], [6, 1], [8, 1], [12, 1]], 17/6635520], [[[1, 3], [2, 6], [3, 1], [5, 1], [6, 1], [10, 1], [12, 1]], 13/2304000], [[[1, 3], [2, 6], [3, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 103/11059200], [[[1, 3], [2, 6], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1]], 13/1105920], [[[1, 3], [2, 6], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1]], 1379/82944000], [[[1, 3], [2, 6], [3, 2], [4, 1], [5, 1], [6, 1], [12, 1]], 1391/199065600], [[[1, 3], [2, 6], [3, 2], [4, 1], [6, 1], [8, 1], [10, 1]], 377/33177600], [[[1, 3], [2, 6], [3, 2], [4, 1], [6, 1], [8, 1], [12, 1]], 418861/22932357120], [[[1, 3], [2, 6], [3, 2], [4, 1], [6, 1], [10, 1], [12, 1]], 14261/1592524800], [[[1, 3], [2, 6], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 641/27648000], [[[1, 3], [2, 6], [4, 1], [5, 1], [6, 1], [8, 1], [12, 1]], 1/138240], [[[1, 3], [2, 6], [4, 1], [5, 1], [6, 1], [10, 1], [12, 1]], 37/1536000], [[[1, 3], [2, 6], [4, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 1/27648], [[[1, 3], [2, 8], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 2083/2388787200], [[[1, 3], [2, 8], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 20089/8360755200], [[[1, 3], [2, 8], [3, 1], [4, 1], [5, 1], [6, 1], [12, 1]], 611/2388787200], [[[1, 3], [2, 8], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 10081/1194393600], [[[1, 3], [2, 8], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 1859/1486356480], [[[1, 3], [2, 8], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1]], 35351/7166361600], [[[1, 3], [3, 1], [4, 1], [6, 1], [8, 1], [9, 1], [18, 1]], 7/186624], [[[1, 3], [3, 1], [4, 1], [6, 2], [8, 1], [9, 1], [12, 1]], 1/3981312], [[[1, 3], [3, 1], [4, 2], [5, 1], [6, 1], [12, 1], [18, 1]], 1/466560], [[[1, 3], [3, 2], [4, 1], [6, 1], [8, 1], [12, 1], [18, 1]], 1/3981312], [[[1, 4], [2, 1], [3, 1], [4, 1], [5, 1], [6, 2], [8, 2]], 1/13271040], [[[1, 4], [2, 1], [3, 1], [4, 1], [5, 1], [6, 2], [10, 2]], 1/41472000], [[[1, 4], [2, 1], [3, 1], [4, 1], [5, 1], [6, 2], [12, 2]], 31/19906560], [[[1, 4], [2, 1], [3, 1], [4, 1], [5, 1], [6, 2], [15, 1]], 1/2073600], [[[1, 4], [2, 1], [3, 1], [4, 1], [5, 1], [6, 2], [20, 1]], 1/1382400], [[[1, 4], [2, 1], [3, 1], [4, 1], [5, 1], [6, 2], [24, 1]], 1/1658880], [[[1, 4], [2, 1], [3, 1], [4, 1], [5, 1], [6, 2], [30, 1]], 1/2073600], [[[1, 4], [2, 1], [3, 1], [4, 1], [5, 1], [6, 3], [18, 1]], 1/3732480], [[[1, 4], [2, 1], [3, 1], [4, 1], [5, 1], [6, 4], [8, 1]], 1/199065600], [[[1, 4], [2, 1], [3, 1], [4, 1], [5, 1], [6, 4], [10, 1]], 1/746496000], [[[1, 4], [2, 1], [3, 1], [4, 1], [5, 1], [6, 4], [12, 1]], 19/358318080], [[[1, 4], [2, 1], [3, 1], [4, 1], [5, 1], [7, 1], [9, 1]], 1/120960], [[[1, 4], [2, 1], [3, 1], [4, 1], [5, 1], [7, 1], [14, 1]], 1/6720], [[[1, 4], [2, 1], [3, 1], [4, 1], [5, 1], [8, 1], [10, 2]], 1/768000], [[[1, 4], [2, 1], [3, 1], [4, 1], [5, 1], [8, 1], [12, 2]], 1/368640], [[[1, 4], [2, 1], [3, 1], [4, 1], [5, 1], [8, 1], [15, 1]], 1/38400], [[[1, 4], [2, 1], [3, 1], [4, 1], [5, 1], [8, 1], [16, 1]], 1/3072], [[[1, 4], [2, 1], [3, 1], [4, 1], [5, 1], [8, 1], [20, 1]], 11/76800], [[[1, 4], [2, 1], [3, 1], [4, 1], [5, 1], [8, 1], [24, 1]], 19/92160], [[[1, 4], [2, 1], [3, 1], [4, 1], [5, 1], [8, 1], [30, 1]], 1/38400], [[[1, 4], [2, 1], [3, 1], [4, 1], [5, 1], [8, 2], [10, 1]], 1/921600], [[[1, 4], [2, 1], [3, 1], [4, 1], [5, 1], [8, 2], [12, 1]], 1/442368], [[[1, 4], [2, 1], [3, 1], [4, 1], [5, 1], [9, 1], [18, 1]], 1/8640], [[[1, 4], [2, 1], [3, 1], [4, 1], [5, 1], [10, 1], [12, 2]], 1/1382400], [[[1, 4], [2, 1], [3, 1], [4, 1], [5, 1], [10, 1], [15, 1]], 1/144000], [[[1, 4], [2, 1], [3, 1], [4, 1], [5, 1], [10, 1], [20, 1]], 1/96000], [[[1, 4], [2, 1], [3, 1], [4, 1], [5, 1], [10, 1], [24, 1]], 1/115200], [[[1, 4], [2, 1], [3, 1], [4, 1], [5, 1], [10, 1], [30, 1]], 1/144000], [[[1, 4], [2, 1], [3, 1], [4, 1], [5, 1], [10, 2], [12, 1]], 1/1382400], [[[1, 4], [2, 1], [3, 1], [4, 1], [5, 1], [12, 1], [15, 1]], 1/69120], [[[1, 4], [2, 1], [3, 1], [4, 1], [5, 1], [12, 1], [16, 1]], 1/11520], [[[1, 4], [2, 1], [3, 1], [4, 1], [5, 1], [12, 1], [20, 1]], 7/76800], [[[1, 4], [2, 1], [3, 1], [4, 1], [5, 1], [12, 1], [24, 1]], 29/276480], [[[1, 4], [2, 1], [3, 1], [4, 1], [5, 1], [12, 1], [30, 1]], 1/69120], [[[1, 4], [2, 1], [3, 1], [4, 1], [5, 2], [6, 1], [7, 1]], 1/2419200], [[[1, 4], [2, 1], [3, 1], [4, 1], [5, 2], [6, 1], [9, 1]], 1/7464960], [[[1, 4], [2, 1], [3, 1], [4, 1], [5, 2], [6, 1], [18, 1]], 49/12441600], [[[1, 4], [2, 1], [3, 1], [4, 1], [5, 2], [6, 2], [8, 1]], 7/66355200], [[[1, 4], [2, 1], [3, 1], [4, 1], [5, 2], [6, 2], [10, 1]], 1/41472000], [[[1, 4], [2, 1], [3, 1], [4, 1], [5, 2], [6, 2], [12, 1]], 31/39813120], [[[1, 4], [2, 1], [3, 1], [4, 1], [5, 2], [8, 1], [10, 1]], 1/9600], [[[1, 4], [2, 1], [3, 1], [4, 1], [5, 2], [8, 1], [12, 1]], 7/11059200], [[[1, 4], [2, 1], [3, 1], [4, 1], [5, 2], [10, 1], [12, 1]], 1/6912000], [[[1, 4], [2, 1], [3, 1], [4, 1], [6, 1], [7, 1], [8, 2]], 1/774144], [[[1, 4], [2, 1], [3, 1], [4, 1], [6, 1], [7, 1], [10, 2]], 1/2419200], [[[1, 4], [2, 1], [3, 1], [4, 1], [6, 1], [7, 1], [12, 2]], 37/1161216], [[[1, 4], [2, 1], [3, 1], [4, 1], [6, 1], [7, 1], [15, 1]], 1/120960], [[[1, 4], [2, 1], [3, 1], [4, 1], [6, 1], [7, 1], [16, 1]], 1/5376], [[[1, 4], [2, 1], [3, 1], [4, 1], [6, 1], [7, 1], [20, 1]], 1/80640], [[[1, 4], [2, 1], [3, 1], [4, 1], [6, 1], [7, 1], [24, 1]], 19/96768], [[[1, 4], [2, 1], [3, 1], [4, 1], [6, 1], [7, 1], [30, 1]], 1/120960], [[[1, 4], [2, 1], [3, 1], [4, 1], [6, 1], [8, 2], [9, 1]], 23/11943936], [[[1, 4], [2, 1], [3, 1], [4, 1], [6, 1], [8, 2], [18, 1]], 7/3981312], [[[1, 4], [2, 1], [3, 1], [4, 1], [6, 1], [9, 1], [10, 2]], 1/7464960], [[[1, 4], [2, 1], [3, 1], [4, 1], [6, 1], [9, 1], [12, 2]], 149/17915904], [[[1, 4], [2, 1], [3, 1], [4, 1], [6, 1], [9, 1], [15, 1]], 1/373248], [[[1, 4], [2, 1], [3, 1], [4, 1], [6, 1], [9, 1], [16, 1]], 1/20736], [[[1, 4], [2, 1], [3, 1], [4, 1], [6, 1], [9, 1], [20, 1]], 1/248832], [[[1, 4], [2, 1], [3, 1], [4, 1], [6, 1], [9, 1], [24, 1]], 77/1492992], [[[1, 4], [2, 1], [3, 1], [4, 1], [6, 1], [9, 1], [30, 1]], 1/373248], [[[1, 4], [2, 1], [3, 1], [4, 1], [6, 1], [10, 2], [18, 1]], 1/12441600], [[[1, 4], [2, 1], [3, 1], [4, 1], [6, 1], [12, 2], [18, 1]], 17/5971968], [[[1, 4], [2, 1], [3, 1], [4, 1], [6, 1], [15, 1], [18, 1]], 1/622080], [[[1, 4], [2, 1], [3, 1], [4, 1], [6, 1], [18, 1], [20, 1]], 1/414720], [[[1, 4], [2, 1], [3, 1], [4, 1], [6, 1], [18, 1], [24, 1]], 1/497664], [[[1, 4], [2, 1], [3, 1], [4, 1], [6, 1], [18, 1], [30, 1]], 1/622080], [[[1, 4], [2, 1], [3, 1], [4, 1], [6, 2], [7, 1], [14, 1]], 1/96768], [[[1, 4], [2, 1], [3, 1], [4, 1], [6, 2], [7, 1], [18, 1]], 1/217728], [[[1, 4], [2, 1], [3, 1], [4, 1], [6, 2], [8, 1], [10, 2]], 7/66355200], [[[1, 4], [2, 1], [3, 1], [4, 1], [6, 2], [8, 1], [12, 2]], 49/31850496], [[[1, 4], [2, 1], [3, 1], [4, 1], [6, 2], [8, 1], [15, 1]], 7/3317760], [[[1, 4], [2, 1], [3, 1], [4, 1], [6, 2], [8, 1], [16, 1]], 5/221184], [[[1, 4], [2, 1], [3, 1], [4, 1], [6, 2], [8, 1], [20, 1]], 23/2211840], [[[1, 4], [2, 1], [3, 1], [4, 1], [6, 2], [8, 1], [24, 1]], 13/884736], [[[1, 4], [2, 1], [3, 1], [4, 1], [6, 2], [8, 1], [30, 1]], 7/3317760], [[[1, 4], [2, 1], [3, 1], [4, 1], [6, 2], [8, 2], [10, 1]], 1/13271040], [[[1, 4], [2, 1], [3, 1], [4, 1], [6, 2], [8, 2], [12, 1]], 29/63700992], [[[1, 4], [2, 1], [3, 1], [4, 1], [6, 2], [9, 1], [18, 1]], 59/3359232], [[[1, 4], [2, 1], [3, 1], [4, 1], [6, 2], [10, 1], [12, 2]], 7/19906560], [[[1, 4], [2, 1], [3, 1], [4, 1], [6, 2], [10, 1], [15, 1]], 1/2073600], [[[1, 4], [2, 1], [3, 1], [4, 1], [6, 2], [10, 1], [20, 1]], 1/1382400], [[[1, 4], [2, 1], [3, 1], [4, 1], [6, 2], [10, 1], [24, 1]], 1/1658880], [[[1, 4], [2, 1], [3, 1], [4, 1], [6, 2], [10, 1], [30, 1]], 1/2073600], [[[1, 4], [2, 1], [3, 1], [4, 1], [6, 2], [10, 2], [12, 1]], 11/199065600], [[[1, 4], [2, 1], [3, 1], [4, 1], [6, 2], [12, 1], [15, 1]], 11/9953280], [[[1, 4], [2, 1], [3, 1], [4, 1], [6, 2], [12, 1], [16, 1]], 1/165888], [[[1, 4], [2, 1], [3, 1], [4, 1], [6, 2], [12, 1], [20, 1]], 43/6635520], [[[1, 4], [2, 1], [3, 1], [4, 1], [6, 2], [12, 1], [24, 1]], 59/7962624], [[[1, 4], [2, 1], [3, 1], [4, 1], [6, 2], [12, 1], [30, 1]], 11/9953280], [[[1, 4], [2, 1], [3, 1], [4, 1], [6, 3], [7, 1], [12, 1]], 1/1161216], [[[1, 4], [2, 1], [3, 1], [4, 1], [6, 3], [8, 1], [9, 1]], 1/35831808], [[[1, 4], [2, 1], [3, 1], [4, 1], [6, 3], [8, 1], [18, 1]], 7/5971968], [[[1, 4], [2, 1], [3, 1], [4, 1], [6, 3], [9, 1], [12, 1]], 5/17915904], [[[1, 4], [2, 1], [3, 1], [4, 1], [6, 3], [10, 1], [18, 1]], 1/3732480], [[[1, 4], [2, 1], [3, 1], [4, 1], [6, 3], [12, 1], [18, 1]], 11/17915904], [[[1, 4], [2, 1], [3, 1], [4, 1], [6, 4], [8, 1], [12, 1]], 637/2866544640], [[[1, 4], [2, 1], [3, 1], [4, 1], [6, 4], [10, 1], [12, 1]], 91/1791590400], [[[1, 4], [2, 1], [3, 1], [4, 1], [7, 1], [8, 1], [9, 1]], 1/32256], [[[1, 4], [2, 1], [3, 1], [4, 1], [7, 1], [9, 1], [10, 1]], 1/120960], [[[1, 4], [2, 1], [3, 1], [4, 1], [7, 1], [9, 1], [12, 1]], 1/72576], [[[1, 4], [2, 1], [3, 1], [4, 1], [7, 1], [12, 1], [14, 1]], 1/16128], [[[1, 4], [2, 1], [3, 1], [4, 1], [8, 1], [9, 1], [14, 1]], 1/387072], [[[1, 4], [2, 1], [3, 1], [4, 1], [8, 1], [9, 1], [18, 1]], 1/497664], [[[1, 4], [2, 1], [3, 1], [4, 1], [8, 1], [10, 2], [12, 1]], 7/11059200], [[[1, 4], [2, 1], [3, 1], [4, 1], [8, 1], [12, 1], [15, 1]], 7/552960], [[[1, 4], [2, 1], [3, 1], [4, 1], [8, 1], [12, 1], [16, 1]], 5/36864], [[[1, 4], [2, 1], [3, 1], [4, 1], [8, 1], [12, 1], [20, 1]], 23/368640], [[[1, 4], [2, 1], [3, 1], [4, 1], [8, 1], [12, 1], [24, 1]], 13/147456], [[[1, 4], [2, 1], [3, 1], [4, 1], [8, 1], [12, 1], [30, 1]], 7/552960], [[[1, 4], [2, 1], [3, 1], [4, 1], [8, 2], [10, 1], [12, 1]], 1/2211840], [[[1, 4], [2, 1], [3, 1], [4, 1], [9, 1], [12, 1], [18, 1]], 1/20736], [[[1, 4], [2, 1], [3, 1], [4, 1], [10, 1], [12, 1], [15, 1]], 1/345600], [[[1, 4], [2, 1], [3, 1], [4, 1], [10, 1], [12, 1], [20, 1]], 1/230400], [[[1, 4], [2, 1], [3, 1], [4, 1], [10, 1], [12, 1], [24, 1]], 1/276480], [[[1, 4], [2, 1], [3, 1], [4, 1], [10, 1], [12, 1], [30, 1]], 1/345600], [[[1, 4], [2, 1], [3, 1], [4, 2], [5, 1], [6, 1], [12, 2]], 1/414720], [[[1, 4], [2, 1], [3, 1], [4, 2], [5, 1], [6, 3], [12, 1]], 1/22394880], [[[1, 4], [2, 1], [3, 1], [4, 2], [5, 1], [7, 1], [12, 1]], 1/80640], [[[1, 4], [2, 1], [3, 1], [4, 2], [5, 1], [8, 1], [9, 1]], 1/552960], [[[1, 4], [2, 1], [3, 1], [4, 2], [5, 1], [9, 1], [12, 1]], 61/9331200], [[[1, 4], [2, 1], [3, 1], [4, 2], [5, 1], [12, 1], [14, 1]], 1/241920], [[[1, 4], [2, 1], [3, 1], [4, 2], [5, 1], [12, 1], [18, 1]], 1/311040], [[[1, 4], [2, 1], [3, 1], [4, 2], [5, 2], [6, 1], [8, 1]], 1/8294400], [[[1, 4], [2, 1], [3, 1], [4, 2], [5, 2], [6, 1], [10, 1]], 1/41472000], [[[1, 4], [2, 1], [3, 1], [4, 2], [5, 2], [6, 1], [12, 1]], 11/99532800], [[[1, 4], [2, 1], [3, 1], [4, 2], [6, 1], [7, 1], [18, 1]], 1/870912], [[[1, 4], [2, 1], [3, 1], [4, 2], [6, 1], [8, 1], [10, 2]], 1/8294400], [[[1, 4], [2, 1], [3, 1], [4, 2], [6, 1], [8, 1], [12, 2]], 1/124416], [[[1, 4], [2, 1], [3, 1], [4, 2], [6, 1], [8, 1], [15, 1]], 1/414720], [[[1, 4], [2, 1], [3, 1], [4, 2], [6, 1], [8, 1], [16, 1]], 1/18432], [[[1, 4], [2, 1], [3, 1], [4, 2], [6, 1], [8, 1], [20, 1]], 1/276480], [[[1, 4], [2, 1], [3, 1], [4, 2], [6, 1], [8, 1], [24, 1]], 29/663552], [[[1, 4], [2, 1], [3, 1], [4, 2], [6, 1], [8, 1], [30, 1]], 1/414720], [[[1, 4], [2, 1], [3, 1], [4, 2], [6, 1], [8, 2], [10, 1]], 1/13271040], [[[1, 4], [2, 1], [3, 1], [4, 2], [6, 1], [8, 2], [12, 1]], 971/31850496], [[[1, 4], [2, 1], [3, 1], [4, 2], [6, 1], [9, 1], [18, 1]], 107/26873856], [[[1, 4], [2, 1], [3, 1], [4, 2], [6, 1], [10, 1], [12, 2]], 17/19906560], [[[1, 4], [2, 1], [3, 1], [4, 2], [6, 1], [10, 1], [15, 1]], 1/2073600], [[[1, 4], [2, 1], [3, 1], [4, 2], [6, 1], [10, 1], [20, 1]], 1/1382400], [[[1, 4], [2, 1], [3, 1], [4, 2], [6, 1], [10, 1], [24, 1]], 1/1658880], [[[1, 4], [2, 1], [3, 1], [4, 2], [6, 1], [10, 1], [30, 1]], 1/2073600], [[[1, 4], [2, 1], [3, 1], [4, 2], [6, 1], [10, 2], [12, 1]], 11/99532800], [[[1, 4], [2, 1], [3, 1], [4, 2], [6, 1], [12, 1], [15, 1]], 11/4976640], [[[1, 4], [2, 1], [3, 1], [4, 2], [6, 1], [12, 1], [20, 1]], 107/3317760], [[[1, 4], [2, 1], [3, 1], [4, 2], [6, 1], [12, 1], [24, 1]], 59/3981312], [[[1, 4], [2, 1], [3, 1], [4, 2], [6, 1], [12, 1], [30, 1]], 11/4976640], [[[1, 4], [2, 1], [3, 1], [4, 2], [6, 1], [14, 1], [18, 1]], 1/1741824], [[[1, 4], [2, 1], [3, 1], [4, 2], [6, 2], [7, 1], [12, 1]], 23/13934592], [[[1, 4], [2, 1], [3, 1], [4, 2], [6, 2], [8, 1], [18, 1]], 1/746496], [[[1, 4], [2, 1], [3, 1], [4, 2], [6, 2], [9, 1], [12, 1]], 1127/1719926784], [[[1, 4], [2, 1], [3, 1], [4, 2], [6, 2], [10, 1], [18, 1]], 1/3732480], [[[1, 4], [2, 1], [3, 1], [4, 2], [6, 2], [12, 1], [14, 1]], 11/27869184], [[[1, 4], [2, 1], [3, 1], [4, 2], [6, 2], [12, 1], [18, 1]], 55/35831808], [[[1, 4], [2, 1], [3, 1], [4, 2], [6, 3], [8, 1], [12, 1]], 5/11943936], [[[1, 4], [2, 1], [3, 1], [4, 2], [6, 3], [10, 1], [12, 1]], 11/59719680], [[[1, 4], [2, 1], [3, 1], [4, 2], [7, 1], [8, 1], [12, 1]], 1/193536], [[[1, 4], [2, 1], [3, 1], [4, 2], [8, 1], [9, 1], [10, 1]], 1/552960], [[[1, 4], [2, 1], [3, 1], [4, 2], [8, 1], [9, 1], [12, 1]], 7/1492992], [[[1, 4], [2, 1], [3, 1], [4, 3], [5, 1], [6, 1], [18, 1]], 1/1658880], [[[1, 4], [2, 1], [3, 1], [4, 3], [5, 1], [6, 2], [12, 1]], 5/15925248], [[[1, 4], [2, 1], [3, 1], [4, 3], [5, 1], [8, 1], [10, 1]], 1/92160], [[[1, 4], [2, 1], [3, 1], [4, 3], [5, 1], [8, 1], [12, 1]], 1/30720], [[[1, 4], [2, 1], [3, 1], [4, 3], [5, 1], [10, 1], [12, 1]], 1/345600], [[[1, 4], [2, 1], [3, 1], [4, 3], [6, 1], [7, 1], [8, 1]], 1/64512], [[[1, 4], [2, 1], [3, 1], [4, 3], [6, 1], [7, 1], [12, 1]], 19/290304], [[[1, 4], [2, 1], [3, 1], [4, 3], [6, 1], [8, 1], [9, 1]], 1/248832], [[[1, 4], [2, 1], [3, 1], [4, 3], [6, 1], [8, 1], [18, 1]], 11/7962624], [[[1, 4], [2, 1], [3, 1], [4, 3], [6, 1], [9, 1], [12, 1]], 77/4478976], [[[1, 4], [2, 1], [3, 1], [4, 3], [6, 1], [10, 1], [18, 1]], 1/2488320], [[[1, 4], [2, 1], [3, 1], [4, 3], [6, 1], [12, 1], [18, 1]], 17/11943936], [[[1, 4], [2, 1], [3, 1], [4, 3], [6, 2], [8, 1], [12, 1]], 337/127401984], [[[1, 4], [2, 1], [3, 1], [4, 3], [6, 2], [10, 1], [12, 1]], 11/39813120], [[[1, 4], [2, 1], [3, 1], [4, 4], [5, 1], [6, 1], [8, 1]], 1/265420800], [[[1, 4], [2, 1], [3, 1], [4, 4], [5, 1], [6, 1], [10, 1]], 1/331776000], [[[1, 4], [2, 1], [3, 1], [4, 4], [5, 1], [6, 1], [12, 1]], 1/265420800], [[[1, 4], [2, 1], [3, 1], [4, 4], [6, 1], [8, 1], [12, 1]], 9281/637009920], [[[1, 4], [2, 1], [3, 1], [4, 4], [6, 1], [10, 1], [12, 1]], 161/796262400], [[[1, 4], [2, 1], [3, 1], [5, 1], [6, 1], [7, 1], [18, 1]], 1/60480], [[[1, 4], [2, 1], [3, 1], [5, 1], [6, 1], [8, 1], [10, 2]], 1/3456000], [[[1, 4], [2, 1], [3, 1], [5, 1], [6, 1], [8, 1], [12, 2]], 1/1658880], [[[1, 4], [2, 1], [3, 1], [5, 1], [6, 1], [8, 1], [15, 1]], 1/172800], [[[1, 4], [2, 1], [3, 1], [5, 1], [6, 1], [8, 1], [20, 1]], 1/115200], [[[1, 4], [2, 1], [3, 1], [5, 1], [6, 1], [8, 1], [24, 1]], 1/138240], [[[1, 4], [2, 1], [3, 1], [5, 1], [6, 1], [8, 1], [30, 1]], 1/172800], [[[1, 4], [2, 1], [3, 1], [5, 1], [6, 1], [8, 2], [10, 1]], 1/1382400], [[[1, 4], [2, 1], [3, 1], [5, 1], [6, 1], [8, 2], [12, 1]], 1/1105920], [[[1, 4], [2, 1], [3, 1], [5, 1], [6, 1], [9, 1], [18, 1]], 179/3499200], [[[1, 4], [2, 1], [3, 1], [5, 1], [6, 1], [10, 1], [12, 2]], 1/2073600], [[[1, 4], [2, 1], [3, 1], [5, 1], [6, 1], [10, 1], [15, 1]], 1/216000], [[[1, 4], [2, 1], [3, 1], [5, 1], [6, 1], [10, 1], [20, 1]], 1/144000], [[[1, 4], [2, 1], [3, 1], [5, 1], [6, 1], [10, 1], [24, 1]], 1/172800], [[[1, 4], [2, 1], [3, 1], [5, 1], [6, 1], [10, 1], [30, 1]], 1/216000], [[[1, 4], [2, 1], [3, 1], [5, 1], [6, 1], [10, 2], [12, 1]], 1/3456000], [[[1, 4], [2, 1], [3, 1], [5, 1], [6, 1], [12, 1], [15, 1]], 1/172800], [[[1, 4], [2, 1], [3, 1], [5, 1], [6, 1], [12, 1], [20, 1]], 1/115200], [[[1, 4], [2, 1], [3, 1], [5, 1], [6, 1], [12, 1], [24, 1]], 1/138240], [[[1, 4], [2, 1], [3, 1], [5, 1], [6, 1], [12, 1], [30, 1]], 1/172800], [[[1, 4], [2, 1], [3, 1], [5, 1], [6, 1], [14, 1], [18, 1]], 1/181440], [[[1, 4], [2, 1], [3, 1], [5, 1], [6, 2], [7, 1], [12, 1]], 1/322560], [[[1, 4], [2, 1], [3, 1], [5, 1], [6, 2], [8, 1], [18, 1]], 1/311040], [[[1, 4], [2, 1], [3, 1], [5, 1], [6, 2], [9, 1], [12, 1]], 61/37324800], [[[1, 4], [2, 1], [3, 1], [5, 1], [6, 2], [10, 1], [18, 1]], 1/388800], [[[1, 4], [2, 1], [3, 1], [5, 1], [6, 2], [12, 1], [14, 1]], 1/967680], [[[1, 4], [2, 1], [3, 1], [5, 1], [6, 2], [12, 1], [18, 1]], 1/248832], [[[1, 4], [2, 1], [3, 1], [5, 1], [6, 3], [8, 1], [12, 1]], 1/1658880], [[[1, 4], [2, 1], [3, 1], [5, 1], [6, 3], [10, 1], [12, 1]], 1/2073600], [[[1, 4], [2, 1], [3, 1], [5, 2], [6, 1], [8, 1], [12, 1]], 1/8294400], [[[1, 4], [2, 1], [3, 1], [5, 2], [6, 1], [10, 1], [12, 1]], 1/10368000], [[[1, 4], [2, 1], [3, 1], [6, 1], [7, 1], [8, 1], [9, 1]], 1/145152], [[[1, 4], [2, 1], [3, 1], [6, 1], [7, 1], [8, 1], [18, 1]], 1/145152], [[[1, 4], [2, 1], [3, 1], [6, 1], [7, 1], [9, 1], [10, 1]], 1/181440], [[[1, 4], [2, 1], [3, 1], [6, 1], [7, 1], [9, 1], [12, 1]], 1/145152], [[[1, 4], [2, 1], [3, 1], [6, 1], [7, 1], [12, 1], [18, 1]], 5/435456], [[[1, 4], [2, 1], [3, 1], [6, 1], [8, 1], [9, 1], [18, 1]], 1/69984], [[[1, 4], [2, 1], [3, 1], [6, 1], [8, 1], [10, 2], [12, 1]], 1/8294400], [[[1, 4], [2, 1], [3, 1], [6, 1], [8, 1], [12, 1], [15, 1]], 1/414720], [[[1, 4], [2, 1], [3, 1], [6, 1], [8, 1], [12, 1], [20, 1]], 1/276480], [[[1, 4], [2, 1], [3, 1], [6, 1], [8, 1], [12, 1], [24, 1]], 1/331776], [[[1, 4], [2, 1], [3, 1], [6, 1], [8, 1], [12, 1], [30, 1]], 1/414720], [[[1, 4], [2, 1], [3, 1], [6, 1], [8, 2], [10, 1], [12, 1]], 1/3317760], [[[1, 4], [2, 1], [3, 1], [6, 1], [9, 1], [12, 1], [18, 1]], 7/1679616], [[[1, 4], [2, 1], [3, 1], [6, 1], [10, 1], [12, 1], [15, 1]], 1/518400], [[[1, 4], [2, 1], [3, 1], [6, 1], [10, 1], [12, 1], [20, 1]], 1/345600], [[[1, 4], [2, 1], [3, 1], [6, 1], [10, 1], [12, 1], [24, 1]], 1/414720], [[[1, 4], [2, 1], [3, 1], [6, 1], [10, 1], [12, 1], [30, 1]], 1/518400], [[[1, 4], [2, 1], [3, 1], [6, 1], [12, 1], [14, 1], [18, 1]], 1/435456], [[[1, 4], [2, 1], [3, 1], [6, 2], [7, 1], [8, 1], [12, 1]], 1/774144], [[[1, 4], [2, 1], [3, 1], [6, 2], [8, 1], [9, 1], [12, 1]], 5/11943936], [[[1, 4], [2, 1], [3, 1], [6, 2], [8, 1], [12, 1], [18, 1]], 1/746496], [[[1, 4], [2, 1], [3, 1], [6, 2], [10, 1], [12, 1], [18, 1]], 1/933120], [[[1, 4], [2, 1], [3, 2], [4, 1], [5, 1], [6, 1], [8, 2]], 1/1658880], [[[1, 4], [2, 1], [3, 2], [4, 1], [5, 1], [6, 1], [10, 2]], 1/5184000], [[[1, 4], [2, 1], [3, 2], [4, 1], [5, 1], [6, 1], [12, 2]], 37/2488320], [[[1, 4], [2, 1], [3, 2], [4, 1], [5, 1], [6, 1], [15, 1]], 1/259200], [[[1, 4], [2, 1], [3, 2], [4, 1], [5, 1], [6, 1], [16, 1]], 1/11520], [[[1, 4], [2, 1], [3, 2], [4, 1], [5, 1], [6, 1], [20, 1]], 1/172800], [[[1, 4], [2, 1], [3, 2], [4, 1], [5, 1], [6, 1], [24, 1]], 19/207360], [[[1, 4], [2, 1], [3, 2], [4, 1], [5, 1], [6, 1], [30, 1]], 1/259200], [[[1, 4], [2, 1], [3, 2], [4, 1], [5, 1], [6, 2], [7, 1]], 1/3870720], [[[1, 4], [2, 1], [3, 2], [4, 1], [5, 1], [6, 2], [9, 1]], 1/2985984], [[[1, 4], [2, 1], [3, 2], [4, 1], [5, 1], [6, 2], [18, 1]], 1/466560], [[[1, 4], [2, 1], [3, 2], [4, 1], [5, 1], [6, 3], [10, 1]], 1/207360], [[[1, 4], [2, 1], [3, 2], [4, 1], [5, 1], [6, 3], [12, 1]], 1/2488320], [[[1, 4], [2, 1], [3, 2], [4, 1], [5, 1], [7, 1], [12, 1]], 1/645120], [[[1, 4], [2, 1], [3, 2], [4, 1], [5, 1], [8, 1], [9, 1]], 1/69120], [[[1, 4], [2, 1], [3, 2], [4, 1], [5, 1], [9, 1], [10, 1]], 1/259200], [[[1, 4], [2, 1], [3, 2], [4, 1], [5, 1], [9, 1], [12, 1]], 7/829440], [[[1, 4], [2, 1], [3, 2], [4, 1], [5, 2], [6, 1], [8, 1]], 1/44236800], [[[1, 4], [2, 1], [3, 2], [4, 1], [5, 2], [6, 1], [10, 1]], 1/14400], [[[1, 4], [2, 1], [3, 2], [4, 1], [5, 2], [6, 1], [12, 1]], 17/199065600], [[[1, 4], [2, 1], [3, 2], [4, 1], [6, 1], [7, 1], [9, 1]], 1/217728], [[[1, 4], [2, 1], [3, 2], [4, 1], [6, 1], [8, 1], [10, 2]], 1/44236800], [[[1, 4], [2, 1], [3, 2], [4, 1], [6, 1], [8, 1], [12, 2]], 173/7077888], [[[1, 4], [2, 1], [3, 2], [4, 1], [6, 1], [8, 1], [15, 1]], 1/2211840], [[[1, 4], [2, 1], [3, 2], [4, 1], [6, 1], [8, 1], [20, 1]], 1/1474560], [[[1, 4], [2, 1], [3, 2], [4, 1], [6, 1], [8, 1], [24, 1]], 1/1769472], [[[1, 4], [2, 1], [3, 2], [4, 1], [6, 1], [8, 1], [30, 1]], 1/2211840], [[[1, 4], [2, 1], [3, 2], [4, 1], [6, 1], [8, 2], [12, 1]], 35/63700992], [[[1, 4], [2, 1], [3, 2], [4, 1], [6, 1], [9, 1], [18, 1]], 7/279936], [[[1, 4], [2, 1], [3, 2], [4, 1], [6, 1], [10, 2], [12, 1]], 17/199065600], [[[1, 4], [2, 1], [3, 2], [4, 1], [6, 1], [12, 1], [15, 1]], 17/9953280], [[[1, 4], [2, 1], [3, 2], [4, 1], [6, 1], [12, 1], [16, 1]], 1/27648], [[[1, 4], [2, 1], [3, 2], [4, 1], [6, 1], [12, 1], [20, 1]], 17/6635520], [[[1, 4], [2, 1], [3, 2], [4, 1], [6, 1], [12, 1], [24, 1]], 305/7962624], [[[1, 4], [2, 1], [3, 2], [4, 1], [6, 1], [12, 1], [30, 1]], 17/9953280], [[[1, 4], [2, 1], [3, 2], [4, 1], [6, 2], [7, 1], [8, 1]], 1/1032192], [[[1, 4], [2, 1], [3, 2], [4, 1], [6, 2], [7, 1], [10, 1]], 1/3870720], [[[1, 4], [2, 1], [3, 2], [4, 1], [6, 2], [7, 1], [12, 1]], 73/2322432], [[[1, 4], [2, 1], [3, 2], [4, 1], [6, 2], [8, 1], [9, 1]], 35/23887872], [[[1, 4], [2, 1], [3, 2], [4, 1], [6, 2], [8, 1], [14, 1]], 1/12386304], [[[1, 4], [2, 1], [3, 2], [4, 1], [6, 2], [8, 1], [18, 1]], 5/15925248], [[[1, 4], [2, 1], [3, 2], [4, 1], [6, 2], [9, 1], [10, 1]], 1/2985984], [[[1, 4], [2, 1], [3, 2], [4, 1], [6, 2], [9, 1], [12, 1]], 157/17915904], [[[1, 4], [2, 1], [3, 2], [4, 1], [6, 2], [12, 1], [18, 1]], 17/17915904], [[[1, 4], [2, 1], [3, 2], [4, 1], [6, 3], [8, 1], [10, 1]], 1/26542080], [[[1, 4], [2, 1], [3, 2], [4, 1], [6, 3], [8, 1], [12, 1]], 787/191102976], [[[1, 4], [2, 1], [3, 2], [4, 1], [7, 1], [8, 1], [12, 1]], 1/172032], [[[1, 4], [2, 1], [3, 2], [4, 1], [7, 1], [10, 1], [12, 1]], 1/645120], [[[1, 4], [2, 1], [3, 2], [4, 1], [8, 1], [9, 1], [12, 1]], 35/3981312], [[[1, 4], [2, 1], [3, 2], [4, 1], [8, 1], [12, 1], [14, 1]], 1/2064384], [[[1, 4], [2, 1], [3, 2], [4, 1], [8, 1], [12, 1], [18, 1]], 1/2654208], [[[1, 4], [2, 1], [3, 2], [4, 1], [9, 1], [10, 1], [12, 1]], 1/497664], [[[1, 4], [2, 1], [3, 2], [4, 2], [5, 1], [6, 1], [18, 1]], 1/1866240], [[[1, 4], [2, 1], [3, 2], [4, 2], [5, 1], [6, 2], [8, 1]], 1/17694720], [[[1, 4], [2, 1], [3, 2], [4, 2], [5, 1], [6, 2], [12, 1]], 1033/298598400], [[[1, 4], [2, 1], [3, 2], [4, 2], [5, 1], [8, 1], [12, 1]], 73/26542080], [[[1, 4], [2, 1], [3, 2], [4, 2], [6, 1], [7, 1], [12, 1]], 1/1161216], [[[1, 4], [2, 1], [3, 2], [4, 2], [6, 1], [8, 1], [9, 1]], 1/746496], [[[1, 4], [2, 1], [3, 2], [4, 2], [6, 1], [8, 1], [18, 1]], 1/2985984], [[[1, 4], [2, 1], [3, 2], [4, 2], [6, 1], [9, 1], [10, 1]], 1/3732480], [[[1, 4], [2, 1], [3, 2], [4, 2], [6, 1], [9, 1], [12, 1]], 13/8957952], [[[1, 4], [2, 1], [3, 2], [4, 2], [6, 1], [12, 1], [18, 1]], 4213/5159780352], [[[1, 4], [2, 1], [3, 2], [4, 2], [6, 2], [8, 1], [10, 1]], 1/17694720], [[[1, 4], [2, 1], [3, 2], [4, 2], [6, 2], [8, 1], [12, 1]], 47/5971968], [[[1, 4], [2, 1], [3, 2], [4, 2], [8, 1], [10, 1], [12, 1]], 1/2949120], [[[1, 4], [2, 1], [3, 2], [4, 3], [5, 1], [6, 1], [8, 1]], 1/138240], [[[1, 4], [2, 1], [3, 2], [4, 3], [5, 1], [6, 1], [10, 1]], 1/138240], [[[1, 4], [2, 1], [3, 2], [4, 3], [5, 1], [6, 1], [12, 1]], 19/622080], [[[1, 4], [2, 1], [3, 2], [4, 3], [6, 1], [8, 1], [12, 1]], 49/5308416], [[[1, 4], [2, 1], [3, 2], [5, 1], [6, 1], [8, 1], [9, 1]], 1/311040], [[[1, 4], [2, 1], [3, 2], [5, 1], [6, 1], [8, 1], [18, 1]], 1/311040], [[[1, 4], [2, 1], [3, 2], [5, 1], [6, 1], [9, 1], [10, 1]], 1/388800], [[[1, 4], [2, 1], [3, 2], [5, 1], [6, 1], [9, 1], [12, 1]], 1/311040], [[[1, 4], [2, 1], [3, 2], [5, 1], [6, 1], [12, 1], [18, 1]], 211/37324800], [[[1, 4], [2, 1], [3, 2], [5, 1], [6, 2], [8, 1], [12, 1]], 1/1658880], [[[1, 4], [2, 1], [3, 2], [6, 1], [7, 1], [8, 1], [12, 1]], 1/774144], [[[1, 4], [2, 1], [3, 2], [6, 1], [7, 1], [10, 1], [12, 1]], 1/967680], [[[1, 4], [2, 1], [3, 2], [6, 1], [8, 1], [9, 1], [12, 1]], 5/2985984], [[[1, 4], [2, 1], [3, 2], [6, 1], [8, 1], [12, 1], [18, 1]], 17/11943936], [[[1, 4], [2, 1], [3, 2], [6, 1], [9, 1], [10, 1], [12, 1]], 1/746496], [[[1, 4], [2, 1], [3, 3], [4, 1], [5, 1], [6, 1], [9, 1]], 1/466560], [[[1, 4], [2, 1], [3, 3], [4, 1], [5, 1], [6, 1], [18, 1]], 1/33592320], [[[1, 4], [2, 1], [3, 3], [4, 1], [5, 1], [6, 2], [8, 1]], 1/2211840], [[[1, 4], [2, 1], [3, 3], [4, 1], [5, 1], [6, 2], [10, 1]], 1/8294400], [[[1, 4], [2, 1], [3, 3], [4, 1], [5, 1], [6, 2], [12, 1]], 2647/179159040], [[[1, 4], [2, 1], [3, 3], [4, 1], [5, 1], [8, 1], [10, 1]], 1/1244160], [[[1, 4], [2, 1], [3, 3], [4, 1], [5, 1], [8, 1], [12, 1]], 1/368640], [[[1, 4], [2, 1], [3, 3], [4, 1], [5, 1], [10, 1], [12, 1]], 1/1382400], [[[1, 4], [2, 1], [3, 3], [4, 1], [6, 1], [7, 1], [12, 1]], 1/1161216], [[[1, 4], [2, 1], [3, 3], [4, 1], [6, 1], [8, 1], [9, 1]], 1/3981312], [[[1, 4], [2, 1], [3, 3], [4, 1], [6, 1], [8, 1], [18, 1]], 7/53747712], [[[1, 4], [2, 1], [3, 3], [4, 1], [6, 1], [9, 1], [12, 1]], 5191/5971968], [[[1, 4], [2, 1], [3, 3], [4, 1], [6, 1], [10, 1], [18, 1]], 1/33592320], [[[1, 4], [2, 1], [3, 3], [4, 1], [6, 1], [12, 1], [18, 1]], 46691/161243136], [[[1, 4], [2, 1], [3, 3], [4, 1], [6, 2], [8, 1], [12, 1]], 133/286654464], [[[1, 4], [2, 1], [3, 3], [4, 1], [6, 2], [10, 1], [12, 1]], 19/179159040], [[[1, 4], [2, 1], [3, 3], [4, 2], [5, 1], [6, 1], [12, 1]], 1/2488320], [[[1, 4], [2, 1], [3, 3], [4, 2], [6, 1], [8, 1], [12, 1]], 29/107495424], [[[1, 4], [2, 1], [3, 3], [4, 2], [6, 1], [10, 1], [12, 1]], 7/107495424], [[[1, 4], [2, 1], [3, 3], [5, 1], [6, 1], [8, 1], [12, 1]], 1/1658880], [[[1, 4], [2, 1], [3, 3], [5, 1], [6, 1], [10, 1], [12, 1]], 1/2073600], [[[1, 4], [2, 1], [3, 4], [4, 1], [5, 1], [6, 1], [10, 1]], 1/1866240], [[[1, 4], [2, 1], [3, 4], [4, 1], [5, 1], [6, 1], [12, 1]], 1/2488320], [[[1, 4], [2, 1], [3, 4], [4, 1], [6, 1], [8, 1], [10, 1]], 1/2388787200], [[[1, 4], [2, 1], [3, 4], [4, 1], [6, 1], [8, 1], [12, 1]], 2833/5733089280], [[[1, 4], [2, 1], [4, 1], [5, 1], [6, 1], [7, 1], [18, 1]], 1/120960], [[[1, 4], [2, 1], [4, 1], [5, 1], [6, 1], [9, 1], [18, 1]], 1/466560], [[[1, 4], [2, 1], [4, 1], [5, 1], [6, 2], [7, 1], [12, 1]], 1/645120], [[[1, 4], [2, 1], [4, 1], [5, 1], [6, 2], [9, 1], [12, 1]], 1/2488320], [[[1, 4], [2, 1], [4, 1], [5, 1], [7, 1], [8, 1], [10, 1]], 1/4480], [[[1, 4], [2, 1], [4, 1], [5, 1], [8, 1], [9, 1], [10, 1]], 1/17280], [[[1, 4], [2, 1], [4, 1], [5, 2], [6, 1], [8, 1], [10, 1]], 1/9216000], [[[1, 4], [2, 1], [4, 1], [5, 2], [6, 1], [8, 1], [12, 1]], 1/7372800], [[[1, 4], [2, 1], [4, 1], [6, 1], [7, 1], [8, 1], [18, 1]], 1/32256], [[[1, 4], [2, 1], [4, 1], [6, 1], [7, 1], [10, 1], [18, 1]], 1/120960], [[[1, 4], [2, 1], [4, 1], [6, 1], [7, 1], [12, 1], [18, 1]], 1/72576], [[[1, 4], [2, 1], [4, 1], [6, 1], [8, 1], [9, 1], [18, 1]], 7/746496], [[[1, 4], [2, 1], [4, 1], [6, 1], [8, 1], [10, 1], [12, 2]], 1/4423680], [[[1, 4], [2, 1], [4, 1], [6, 1], [8, 1], [10, 1], [15, 1]], 1/460800], [[[1, 4], [2, 1], [4, 1], [6, 1], [8, 1], [10, 1], [20, 1]], 1/307200], [[[1, 4], [2, 1], [4, 1], [6, 1], [8, 1], [10, 1], [24, 1]], 1/368640], [[[1, 4], [2, 1], [4, 1], [6, 1], [8, 1], [10, 1], [30, 1]], 1/460800], [[[1, 4], [2, 1], [4, 1], [6, 1], [8, 1], [10, 2], [12, 1]], 1/7372800], [[[1, 4], [2, 1], [4, 1], [6, 1], [8, 1], [12, 1], [15, 1]], 1/368640], [[[1, 4], [2, 1], [4, 1], [6, 1], [8, 1], [12, 1], [20, 1]], 1/245760], [[[1, 4], [2, 1], [4, 1], [6, 1], [8, 1], [12, 1], [24, 1]], 1/294912], [[[1, 4], [2, 1], [4, 1], [6, 1], [8, 1], [12, 1], [30, 1]], 1/368640], [[[1, 4], [2, 1], [4, 1], [6, 1], [8, 1], [14, 1], [18, 1]], 1/387072], [[[1, 4], [2, 1], [4, 1], [6, 1], [9, 1], [10, 1], [18, 1]], 1/466560], [[[1, 4], [2, 1], [4, 1], [6, 1], [9, 1], [12, 1], [18, 1]], 1/279936], [[[1, 4], [2, 1], [4, 1], [6, 2], [7, 1], [8, 1], [12, 1]], 1/172032], [[[1, 4], [2, 1], [4, 1], [6, 2], [7, 1], [10, 1], [12, 1]], 1/645120], [[[1, 4], [2, 1], [4, 1], [6, 2], [8, 1], [9, 1], [12, 1]], 7/3981312], [[[1, 4], [2, 1], [4, 1], [6, 2], [8, 1], [10, 1], [18, 1]], 1/829440], [[[1, 4], [2, 1], [4, 1], [6, 2], [8, 1], [12, 1], [14, 1]], 1/2064384], [[[1, 4], [2, 1], [4, 1], [6, 2], [8, 1], [12, 1], [18, 1]], 5/2654208], [[[1, 4], [2, 1], [4, 1], [6, 2], [9, 1], [10, 1], [12, 1]], 1/2488320], [[[1, 4], [2, 1], [4, 1], [6, 3], [8, 1], [10, 1], [12, 1]], 1/4423680], [[[1, 4], [2, 1], [4, 2], [5, 1], [6, 1], [8, 1], [18, 1]], 1/552960], [[[1, 4], [2, 1], [4, 2], [5, 1], [6, 1], [12, 1], [18, 1]], 11/9331200], [[[1, 4], [2, 1], [4, 2], [5, 1], [6, 2], [8, 1], [12, 1]], 1/2949120], [[[1, 4], [2, 1], [4, 2], [6, 1], [7, 1], [8, 1], [12, 1]], 1/193536], [[[1, 4], [2, 1], [4, 2], [6, 1], [7, 1], [10, 1], [12, 1]], 1/241920], [[[1, 4], [2, 1], [4, 2], [6, 1], [8, 1], [9, 1], [12, 1]], 1/746496], [[[1, 4], [2, 1], [4, 2], [6, 1], [8, 1], [10, 1], [18, 1]], 1/552960], [[[1, 4], [2, 1], [4, 2], [6, 1], [8, 1], [12, 1], [18, 1]], 5/1492992], [[[1, 4], [2, 1], [4, 2], [6, 1], [9, 1], [10, 1], [12, 1]], 1/933120], [[[1, 4], [2, 1], [4, 2], [6, 2], [8, 1], [10, 1], [12, 1]], 1/2949120], [[[1, 4], [2, 1], [4, 3], [6, 1], [8, 1], [10, 1], [12, 1]], 1/1105920], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [8, 2]], 167/3317760], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [10, 2]], 871/5184000], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [12, 2]], 263/4976640], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [15, 1]], 7/259200], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [16, 1]], 1/9216], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [20, 1]], 7/172800], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [24, 1]], 77/414720], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [30, 1]], 7/259200], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2], [7, 1]], 1/276480], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2], [9, 1]], 7/2488320], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2], [14, 1]], 1/387072], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2], [18, 1]], 25/1492992], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 3], [8, 1]], 13/6635520], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 3], [10, 1]], 37/2332800], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 3], [12, 1]], 41/8957952], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [7, 1], [8, 1]], 1/10240], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [7, 1], [10, 1]], 1/44800], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [7, 1], [12, 1]], 19/322560], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [8, 1], [9, 1]], 643/8294400], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [8, 1], [14, 1]], 19/215040], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [8, 1], [18, 1]], 1/18432], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [9, 1], [10, 1]], 31/518400], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [9, 1], [12, 1]], 53/1244160], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [10, 1], [14, 1]], 1/44800], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [10, 1], [18, 1]], 7/518400], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [12, 1], [14, 1]], 17/322560], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [12, 1], [18, 1]], 41/1244160], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 2], [6, 1], [8, 1]], 467/33177600], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 2], [6, 1], [10, 1]], 7/34560], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 2], [6, 1], [12, 1]], 41/2764800], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [7, 1], [9, 1]], 11/435456], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [7, 1], [14, 1]], 13/28224], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [7, 1], [18, 1]], 11/435456], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [10, 2]], 323/33177600], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [12, 2]], 1601/15925248], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [15, 1]], 179/1658880], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [16, 1]], 59/73728], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [20, 1]], 419/1105920], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [24, 1]], 983/1327104], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [30, 1]], 179/1658880], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [8, 2], [10, 1]], 1/27648], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [8, 2], [12, 1]], 11/73728], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [9, 1], [14, 1]], 1/62208], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [9, 1], [18, 1]], 2119/6718464], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [10, 1], [12, 2]], 67/1658880], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [10, 1], [15, 1]], 1/43200], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [10, 1], [16, 1]], 1/15360], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [10, 1], [20, 1]], 1/28800], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [10, 1], [24, 1]], 19/138240], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [10, 1], [30, 1]], 1/43200], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [10, 2], [12, 1]], 11/921600], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [12, 1], [15, 1]], 13/138240], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [12, 1], [16, 1]], 5/27648], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [12, 1], [20, 1]], 79/276480], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [12, 1], [24, 1]], 41/110592], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [12, 1], [30, 1]], 13/138240], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [14, 1], [18, 1]], 1/72576], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 2], [7, 1], [8, 1]], 71/3096576], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 2], [7, 1], [10, 1]], 31/1935360], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 2], [7, 1], [12, 1]], 23/1161216], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 2], [8, 1], [9, 1]], 35/1990656], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 2], [8, 1], [14, 1]], 5/344064], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 2], [8, 1], [18, 1]], 31/442368], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 2], [9, 1], [10, 1]], 77/7464960], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 2], [9, 1], [12, 1]], 2017/143327232], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 2], [10, 1], [14, 1]], 13/1935360], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 2], [10, 1], [18, 1]], 133/7464960], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 2], [12, 1], [14, 1]], 25/2322432], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 2], [12, 1], [18, 1]], 1075/17915904], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 3], [8, 1], [10, 1]], 161/19906560], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 3], [8, 1], [12, 1]], 4813/143327232], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 3], [10, 1], [12, 1]], 371/44789760], [[[1, 4], [2, 3], [3, 1], [4, 1], [7, 1], [8, 1], [10, 1]], 1/53760], [[[1, 4], [2, 3], [3, 1], [4, 1], [7, 1], [8, 1], [12, 1]], 55/516096], [[[1, 4], [2, 3], [3, 1], [4, 1], [7, 1], [10, 1], [12, 1]], 1/46080], [[[1, 4], [2, 3], [3, 1], [4, 1], [8, 1], [9, 1], [10, 1]], 1/40960], [[[1, 4], [2, 3], [3, 1], [4, 1], [8, 1], [9, 1], [12, 1]], 145/1990656], [[[1, 4], [2, 3], [3, 1], [4, 1], [8, 1], [10, 1], [14, 1]], 1/107520], [[[1, 4], [2, 3], [3, 1], [4, 1], [8, 1], [10, 1], [18, 1]], 1/138240], [[[1, 4], [2, 3], [3, 1], [4, 1], [8, 1], [12, 1], [14, 1]], 37/516096], [[[1, 4], [2, 3], [3, 1], [4, 1], [8, 1], [12, 1], [18, 1]], 97/1990656], [[[1, 4], [2, 3], [3, 1], [4, 1], [9, 1], [10, 1], [12, 1]], 7/414720], [[[1, 4], [2, 3], [3, 1], [4, 1], [10, 1], [12, 1], [14, 1]], 1/64512], [[[1, 4], [2, 3], [3, 1], [4, 1], [10, 1], [12, 1], [18, 1]], 13/1244160], [[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [7, 1]], 1/71680], [[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [9, 1]], 751/74649600], [[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [14, 1]], 13/1935360], [[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [18, 1]], 119/9953280], [[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [6, 2], [8, 1]], 59/6635520], [[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [6, 2], [10, 1]], 289/4147200], [[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [6, 2], [12, 1]], 4427/477757440], [[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [8, 1], [10, 1]], 21/102400], [[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [8, 1], [12, 1]], 43/221184], [[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [10, 1], [12, 1]], 121/1036800], [[[1, 4], [2, 3], [3, 1], [4, 2], [6, 1], [7, 1], [8, 1]], 89/387072], [[[1, 4], [2, 3], [3, 1], [4, 2], [6, 1], [7, 1], [10, 1]], 1/71680], [[[1, 4], [2, 3], [3, 1], [4, 2], [6, 1], [7, 1], [12, 1]], 415/774144], [[[1, 4], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1], [9, 1]], 6265/47775744], [[[1, 4], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1], [14, 1]], 13/110592], [[[1, 4], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1], [18, 1]], 5005/47775744], [[[1, 4], [2, 3], [3, 1], [4, 2], [6, 1], [9, 1], [10, 1]], 1403/119439360], [[[1, 4], [2, 3], [3, 1], [4, 2], [6, 1], [9, 1], [12, 1]], 244885/859963392], [[[1, 4], [2, 3], [3, 1], [4, 2], [6, 1], [10, 1], [14, 1]], 1/129024], [[[1, 4], [2, 3], [3, 1], [4, 2], [6, 1], [10, 1], [18, 1]], 29/2985984], [[[1, 4], [2, 3], [3, 1], [4, 2], [6, 1], [12, 1], [14, 1]], 157/580608], [[[1, 4], [2, 3], [3, 1], [4, 2], [6, 1], [12, 1], [18, 1]], 7807/35831808], [[[1, 4], [2, 3], [3, 1], [4, 2], [6, 2], [8, 1], [10, 1]], 421/6635520], [[[1, 4], [2, 3], [3, 1], [4, 2], [6, 2], [8, 1], [12, 1]], 221527/764411904], [[[1, 4], [2, 3], [3, 1], [4, 2], [6, 2], [10, 1], [12, 1]], 31873/238878720], [[[1, 4], [2, 3], [3, 1], [4, 2], [8, 1], [10, 1], [12, 1]], 47/1105920], [[[1, 4], [2, 3], [3, 1], [4, 3], [5, 1], [6, 1], [8, 1]], 101/1105920], [[[1, 4], [2, 3], [3, 1], [4, 3], [5, 1], [6, 1], [10, 1]], 347/3686400], [[[1, 4], [2, 3], [3, 1], [4, 3], [5, 1], [6, 1], [12, 1]], 9163/39813120], [[[1, 4], [2, 3], [3, 1], [4, 3], [6, 1], [8, 1], [10, 1]], 49/552960], [[[1, 4], [2, 3], [3, 1], [4, 3], [6, 1], [8, 1], [12, 1]], 3683/3981312], [[[1, 4], [2, 3], [3, 1], [4, 3], [6, 1], [10, 1], [12, 1]], 949/4423680], [[[1, 4], [2, 3], [3, 1], [5, 1], [6, 1], [7, 1], [8, 1]], 1/53760], [[[1, 4], [2, 3], [3, 1], [5, 1], [6, 1], [7, 1], [10, 1]], 11/33600], [[[1, 4], [2, 3], [3, 1], [5, 1], [6, 1], [7, 1], [12, 1]], 1/40320], [[[1, 4], [2, 3], [3, 1], [5, 1], [6, 1], [8, 1], [9, 1]], 19/1244160], [[[1, 4], [2, 3], [3, 1], [5, 1], [6, 1], [8, 1], [14, 1]], 1/53760], [[[1, 4], [2, 3], [3, 1], [5, 1], [6, 1], [8, 1], [18, 1]], 13/622080], [[[1, 4], [2, 3], [3, 1], [5, 1], [6, 1], [9, 1], [10, 1]], 113/648000], [[[1, 4], [2, 3], [3, 1], [5, 1], [6, 1], [9, 1], [12, 1]], 173/9331200], [[[1, 4], [2, 3], [3, 1], [5, 1], [6, 1], [10, 1], [14, 1]], 17/100800], [[[1, 4], [2, 3], [3, 1], [5, 1], [6, 1], [10, 1], [18, 1]], 13/97200], [[[1, 4], [2, 3], [3, 1], [5, 1], [6, 1], [12, 1], [14, 1]], 1/48384], [[[1, 4], [2, 3], [3, 1], [5, 1], [6, 1], [12, 1], [18, 1]], 11/622080], [[[1, 4], [2, 3], [3, 1], [5, 1], [6, 2], [8, 1], [10, 1]], 11/115200], [[[1, 4], [2, 3], [3, 1], [5, 1], [6, 2], [8, 1], [12, 1]], 17/1658880], [[[1, 4], [2, 3], [3, 1], [5, 1], [6, 2], [10, 1], [12, 1]], 101/1036800], [[[1, 4], [2, 3], [3, 1], [6, 1], [7, 1], [8, 1], [10, 1]], 1/53760], [[[1, 4], [2, 3], [3, 1], [6, 1], [7, 1], [8, 1], [12, 1]], 1/27648], [[[1, 4], [2, 3], [3, 1], [6, 1], [7, 1], [10, 1], [12, 1]], 1/40320], [[[1, 4], [2, 3], [3, 1], [6, 1], [8, 1], [9, 1], [10, 1]], 17/1244160], [[[1, 4], [2, 3], [3, 1], [6, 1], [8, 1], [9, 1], [12, 1]], 67/2985984], [[[1, 4], [2, 3], [3, 1], [6, 1], [8, 1], [10, 1], [14, 1]], 1/161280], [[[1, 4], [2, 3], [3, 1], [6, 1], [8, 1], [10, 1], [18, 1]], 1/138240], [[[1, 4], [2, 3], [3, 1], [6, 1], [8, 1], [12, 1], [14, 1]], 1/48384], [[[1, 4], [2, 3], [3, 1], [6, 1], [8, 1], [12, 1], [18, 1]], 29/1492992], [[[1, 4], [2, 3], [3, 1], [6, 1], [9, 1], [10, 1], [12, 1]], 53/3732480], [[[1, 4], [2, 3], [3, 1], [6, 1], [10, 1], [12, 1], [14, 1]], 1/80640], [[[1, 4], [2, 3], [3, 1], [6, 1], [10, 1], [12, 1], [18, 1]], 23/1866240], [[[1, 4], [2, 3], [3, 1], [6, 2], [8, 1], [10, 1], [12, 1]], 67/6635520], [[[1, 4], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1], [7, 1]], 31/1935360], [[[1, 4], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1], [9, 1]], 181/7464960], [[[1, 4], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1], [14, 1]], 1/71680], [[[1, 4], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1], [18, 1]], 107/7464960], [[[1, 4], [2, 3], [3, 2], [4, 1], [5, 1], [6, 2], [8, 1]], 397/29491200], [[[1, 4], [2, 3], [3, 2], [4, 1], [5, 1], [6, 2], [10, 1]], 11/51840], [[[1, 4], [2, 3], [3, 2], [4, 1], [5, 1], [6, 2], [12, 1]], 121/3981312], [[[1, 4], [2, 3], [3, 2], [4, 1], [5, 1], [8, 1], [10, 1]], 31/691200], [[[1, 4], [2, 3], [3, 2], [4, 1], [5, 1], [8, 1], [12, 1]], 2693/44236800], [[[1, 4], [2, 3], [3, 2], [4, 1], [5, 1], [10, 1], [12, 1]], 13/691200], [[[1, 4], [2, 3], [3, 2], [4, 1], [6, 1], [7, 1], [8, 1]], 71/3096576], [[[1, 4], [2, 3], [3, 2], [4, 1], [6, 1], [7, 1], [10, 1]], 1/276480], [[[1, 4], [2, 3], [3, 2], [4, 1], [6, 1], [7, 1], [12, 1]], 23/1161216], [[[1, 4], [2, 3], [3, 2], [4, 1], [6, 1], [8, 1], [9, 1]], 853/11943936], [[[1, 4], [2, 3], [3, 2], [4, 1], [6, 1], [8, 1], [14, 1]], 23/2064384], [[[1, 4], [2, 3], [3, 2], [4, 1], [6, 1], [8, 1], [18, 1]], 1151/71663616], [[[1, 4], [2, 3], [3, 2], [4, 1], [6, 1], [9, 1], [10, 1]], 109/7464960], [[[1, 4], [2, 3], [3, 2], [4, 1], [6, 1], [9, 1], [12, 1]], 1123/17915904], [[[1, 4], [2, 3], [3, 2], [4, 1], [6, 1], [10, 1], [14, 1]], 1/645120], [[[1, 4], [2, 3], [3, 2], [4, 1], [6, 1], [10, 1], [18, 1]], 19/7464960], [[[1, 4], [2, 3], [3, 2], [4, 1], [6, 1], [12, 1], [14, 1]], 1/82944], [[[1, 4], [2, 3], [3, 2], [4, 1], [6, 1], [12, 1], [18, 1]], 233/15925248], [[[1, 4], [2, 3], [3, 2], [4, 1], [6, 2], [8, 1], [10, 1]], 55/7077888], [[[1, 4], [2, 3], [3, 2], [4, 1], [6, 2], [8, 1], [12, 1]], 30259/191102976], [[[1, 4], [2, 3], [3, 2], [4, 1], [6, 2], [10, 1], [12, 1]], 43/2211840], [[[1, 4], [2, 3], [3, 2], [4, 1], [8, 1], [10, 1], [12, 1]], 59/5898240], [[[1, 4], [2, 3], [3, 2], [4, 2], [5, 1], [6, 1], [8, 1]], 1523/13271040], [[[1, 4], [2, 3], [3, 2], [4, 2], [5, 1], [6, 1], [10, 1]], 251/2764800], [[[1, 4], [2, 3], [3, 2], [4, 2], [5, 1], [6, 1], [12, 1]], 308071/1194393600], [[[1, 4], [2, 3], [3, 2], [4, 2], [6, 1], [8, 1], [10, 1]], 107/13271040], [[[1, 4], [2, 3], [3, 2], [4, 2], [6, 1], [8, 1], [12, 1]], 243755/764411904], [[[1, 4], [2, 3], [3, 2], [4, 2], [6, 1], [10, 1], [12, 1]], 10823/1146617856], [[[1, 4], [2, 3], [3, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 11/115200], [[[1, 4], [2, 3], [3, 2], [5, 1], [6, 1], [8, 1], [12, 1]], 13/737280], [[[1, 4], [2, 3], [3, 2], [5, 1], [6, 1], [10, 1], [12, 1]], 443/3456000], [[[1, 4], [2, 3], [3, 2], [6, 1], [8, 1], [10, 1], [12, 1]], 47/6635520], [[[1, 4], [2, 3], [3, 3], [4, 1], [5, 1], [6, 1], [8, 1]], 701/59719680], [[[1, 4], [2, 3], [3, 3], [4, 1], [5, 1], [6, 1], [10, 1]], 121/4665600], [[[1, 4], [2, 3], [3, 3], [4, 1], [5, 1], [6, 1], [12, 1]], 569/44789760], [[[1, 4], [2, 3], [3, 3], [4, 1], [6, 1], [8, 1], [10, 1]], 91/59719680], [[[1, 4], [2, 3], [3, 3], [4, 1], [6, 1], [8, 1], [12, 1]], 2015/47775744], [[[1, 4], [2, 3], [3, 3], [4, 1], [6, 1], [10, 1], [12, 1]], 61/14929920], [[[1, 4], [2, 3], [4, 1], [5, 1], [6, 1], [7, 1], [8, 1]], 1/53760], [[[1, 4], [2, 3], [4, 1], [5, 1], [6, 1], [7, 1], [10, 1]], 1/44800], [[[1, 4], [2, 3], [4, 1], [5, 1], [6, 1], [7, 1], [12, 1]], 1/46080], [[[1, 4], [2, 3], [4, 1], [5, 1], [6, 1], [8, 1], [9, 1]], 1/103680], [[[1, 4], [2, 3], [4, 1], [5, 1], [6, 1], [8, 1], [14, 1]], 1/107520], [[[1, 4], [2, 3], [4, 1], [5, 1], [6, 1], [8, 1], [18, 1]], 233/8294400], [[[1, 4], [2, 3], [4, 1], [5, 1], [6, 1], [9, 1], [10, 1]], 1/103680], [[[1, 4], [2, 3], [4, 1], [5, 1], [6, 1], [9, 1], [12, 1]], 13/1244160], [[[1, 4], [2, 3], [4, 1], [5, 1], [6, 1], [10, 1], [14, 1]], 1/134400], [[[1, 4], [2, 3], [4, 1], [5, 1], [6, 1], [10, 1], [18, 1]], 1/19200], [[[1, 4], [2, 3], [4, 1], [5, 1], [6, 1], [12, 1], [14, 1]], 1/107520], [[[1, 4], [2, 3], [4, 1], [5, 1], [6, 1], [12, 1], [18, 1]], 19/1244160], [[[1, 4], [2, 3], [4, 1], [5, 1], [6, 2], [8, 1], [10, 1]], 1/38400], [[[1, 4], [2, 3], [4, 1], [5, 1], [6, 2], [8, 1], [12, 1]], 413/44236800], [[[1, 4], [2, 3], [4, 1], [5, 1], [6, 2], [10, 1], [12, 1]], 1/76800], [[[1, 4], [2, 3], [4, 1], [6, 1], [7, 1], [8, 1], [10, 1]], 1/10240], [[[1, 4], [2, 3], [4, 1], [6, 1], [7, 1], [8, 1], [12, 1]], 55/516096], [[[1, 4], [2, 3], [4, 1], [6, 1], [7, 1], [10, 1], [12, 1]], 19/322560], [[[1, 4], [2, 3], [4, 1], [6, 1], [8, 1], [9, 1], [10, 1]], 37/829440], [[[1, 4], [2, 3], [4, 1], [6, 1], [8, 1], [9, 1], [12, 1]], 35/663552], [[[1, 4], [2, 3], [4, 1], [6, 1], [8, 1], [10, 1], [14, 1]], 17/430080], [[[1, 4], [2, 3], [4, 1], [6, 1], [8, 1], [10, 1], [18, 1]], 49/1105920], [[[1, 4], [2, 3], [4, 1], [6, 1], [8, 1], [12, 1], [14, 1]], 53/1032192], [[[1, 4], [2, 3], [4, 1], [6, 1], [8, 1], [12, 1], [18, 1]], 71/1327104], [[[1, 4], [2, 3], [4, 1], [6, 1], [9, 1], [10, 1], [12, 1]], 11/414720], [[[1, 4], [2, 3], [4, 1], [6, 1], [10, 1], [12, 1], [14, 1]], 1/46080], [[[1, 4], [2, 3], [4, 1], [6, 1], [10, 1], [12, 1], [18, 1]], 1/46080], [[[1, 4], [2, 3], [4, 1], [6, 2], [8, 1], [10, 1], [12, 1]], 569/17694720], [[[1, 4], [2, 3], [4, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 77/460800], [[[1, 4], [2, 3], [4, 2], [5, 1], [6, 1], [8, 1], [12, 1]], 49/1327104], [[[1, 4], [2, 3], [4, 2], [5, 1], [6, 1], [10, 1], [12, 1]], 193/2304000], [[[1, 4], [2, 3], [4, 2], [6, 1], [8, 1], [10, 1], [12, 1]], 757/6635520], [[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1]], 19/645120], [[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [9, 1]], 29/1244160], [[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [14, 1]], 13/241920], [[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [18, 1]], 8903/298598400], [[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [6, 2], [8, 1]], 167/6635520], [[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1]], 27773/248832000], [[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [6, 2], [12, 1]], 125429/4777574400], [[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [8, 1], [10, 1]], 2503/27648000], [[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [8, 1], [12, 1]], 41/1105920], [[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [10, 1], [12, 1]], 7/110592], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [7, 1], [8, 1]], 59/442368], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [7, 1], [10, 1]], 31/806400], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [7, 1], [12, 1]], 73/663552], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1], [9, 1]], 47939/477757440], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1], [14, 1]], 179/774144], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1], [18, 1]], 3971/31850496], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [9, 1], [10, 1]], 7/233280], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [9, 1], [12, 1]], 745/8957952], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [10, 1], [14, 1]], 13/241920], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [10, 1], [18, 1]], 4781/149299200], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [12, 1], [14, 1]], 13/64512], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [12, 1], [18, 1]], 76213/716636160], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 2], [8, 1], [10, 1]], 2089/16588800], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 2], [8, 1], [12, 1]], 254363/1528823808], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 2], [10, 1], [12, 1]], 271751/2388787200], [[[1, 4], [2, 5], [3, 1], [4, 1], [8, 1], [10, 1], [12, 1]], 11/307200], [[[1, 4], [2, 5], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1]], 14839/106168320], [[[1, 4], [2, 5], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1]], 6127/26542080], [[[1, 4], [2, 5], [3, 1], [4, 2], [5, 1], [6, 1], [12, 1]], 837979/4777574400], [[[1, 4], [2, 5], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1]], 22823/132710400], [[[1, 4], [2, 5], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 434593/764411904], [[[1, 4], [2, 5], [3, 1], [4, 2], [6, 1], [10, 1], [12, 1]], 1151249/4777574400], [[[1, 4], [2, 5], [3, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 41/432000], [[[1, 4], [2, 5], [3, 1], [5, 1], [6, 1], [8, 1], [12, 1]], 7/552960], [[[1, 4], [2, 5], [3, 1], [5, 1], [6, 1], [10, 1], [12, 1]], 283/20736000], [[[1, 4], [2, 5], [3, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 301/16588800], [[[1, 4], [2, 5], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1]], 6907/88473600], [[[1, 4], [2, 5], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1]], 1243/13824000], [[[1, 4], [2, 5], [3, 2], [4, 1], [5, 1], [6, 1], [12, 1]], 2633/39813120], [[[1, 4], [2, 5], [3, 2], [4, 1], [6, 1], [8, 1], [10, 1]], 23429/796262400], [[[1, 4], [2, 5], [3, 2], [4, 1], [6, 1], [8, 1], [12, 1]], 1099457/7644119040], [[[1, 4], [2, 5], [3, 2], [4, 1], [6, 1], [10, 1], [12, 1]], 433/16588800], [[[1, 4], [2, 5], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 617/6144000], [[[1, 4], [2, 5], [4, 1], [5, 1], [6, 1], [8, 1], [12, 1]], 1321/44236800], [[[1, 4], [2, 5], [4, 1], [5, 1], [6, 1], [10, 1], [12, 1]], 7/86400], [[[1, 4], [2, 5], [4, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 961/14745600], [[[1, 4], [2, 7], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 4603/398131200], [[[1, 4], [2, 7], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 196771/5971968000], [[[1, 4], [2, 7], [3, 1], [4, 1], [5, 1], [6, 1], [12, 1]], 34273/7166361600], [[[1, 4], [2, 7], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 11657/265420800], [[[1, 4], [2, 7], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 103489/5733089280], [[[1, 4], [2, 7], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1]], 225983/7166361600], [[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [8, 2]], 293/16588800], [[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [10, 2]], 203/51840000], [[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [12, 2]], 223/12441600], [[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [15, 1]], 23/2592000], [[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [16, 1]], 11/230400], [[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [20, 1]], 23/1728000], [[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [24, 1]], 61/1036800], [[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [30, 1]], 23/2592000], [[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [6, 2], [7, 1]], 1/387072], [[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [6, 2], [9, 1]], 7/7464960], [[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [6, 2], [14, 1]], 1/1935360], [[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [6, 2], [18, 1]], 199/37324800], [[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [6, 3], [8, 1]], 73/119439360], [[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [6, 3], [10, 1]], 1/3110400], [[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [6, 3], [12, 1]], 13/9331200], [[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [7, 1], [8, 1]], 19/215040], [[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [7, 1], [10, 1]], 1/44800], [[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [7, 1], [12, 1]], 17/322560], [[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [8, 1], [9, 1]], 383/8294400], [[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [8, 1], [14, 1]], 13/430080], [[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [8, 1], [18, 1]], 37/1658880], [[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [9, 1], [10, 1]], 61/5184000], [[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [9, 1], [12, 1]], 157/6220800], [[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [10, 1], [14, 1]], 1/134400], [[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [10, 1], [18, 1]], 1/172800], [[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [12, 1], [14, 1]], 1/64512], [[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [12, 1], [18, 1]], 1/82944], [[[1, 5], [2, 2], [3, 1], [4, 1], [5, 2], [6, 1], [8, 1]], 343/66355200], [[[1, 5], [2, 2], [3, 1], [4, 1], [5, 2], [6, 1], [10, 1]], 193/4608000], [[[1, 5], [2, 2], [3, 1], [4, 1], [5, 2], [6, 1], [12, 1]], 19/3981312], [[[1, 5], [2, 2], [3, 1], [4, 1], [6, 1], [7, 1], [9, 1]], 1/62208], [[[1, 5], [2, 2], [3, 1], [4, 1], [6, 1], [7, 1], [14, 1]], 1/14112], [[[1, 5], [2, 2], [3, 1], [4, 1], [6, 1], [7, 1], [18, 1]], 1/72576], [[[1, 5], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1], [10, 2]], 11/13271040], [[[1, 5], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1], [12, 2]], 553/31850496], [[[1, 5], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1], [15, 1]], 11/663552], [[[1, 5], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1], [16, 1]], 11/73728], [[[1, 5], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1], [20, 1]], 151/2211840], [[[1, 5], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1], [24, 1]], 319/2654208], [[[1, 5], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1], [30, 1]], 11/663552], [[[1, 5], [2, 2], [3, 1], [4, 1], [6, 1], [8, 2], [10, 1]], 1/491520], [[[1, 5], [2, 2], [3, 1], [4, 1], [6, 1], [8, 2], [12, 1]], 637/31850496], [[[1, 5], [2, 2], [3, 1], [4, 1], [6, 1], [9, 1], [14, 1]], 5/1741824], [[[1, 5], [2, 2], [3, 1], [4, 1], [6, 1], [9, 1], [18, 1]], 1337/22394880], [[[1, 5], [2, 2], [3, 1], [4, 1], [6, 1], [10, 1], [12, 2]], 31/6635520], [[[1, 5], [2, 2], [3, 1], [4, 1], [6, 1], [10, 1], [15, 1]], 1/230400], [[[1, 5], [2, 2], [3, 1], [4, 1], [6, 1], [10, 1], [20, 1]], 1/153600], [[[1, 5], [2, 2], [3, 1], [4, 1], [6, 1], [10, 1], [24, 1]], 1/184320], [[[1, 5], [2, 2], [3, 1], [4, 1], [6, 1], [10, 1], [30, 1]], 1/230400], [[[1, 5], [2, 2], [3, 1], [4, 1], [6, 1], [10, 2], [12, 1]], 187/99532800], [[[1, 5], [2, 2], [3, 1], [4, 1], [6, 1], [12, 1], [15, 1]], 43/4976640], [[[1, 5], [2, 2], [3, 1], [4, 1], [6, 1], [12, 1], [16, 1]], 1/27648], [[[1, 5], [2, 2], [3, 1], [4, 1], [6, 1], [12, 1], [20, 1]], 139/3317760], [[[1, 5], [2, 2], [3, 1], [4, 1], [6, 1], [12, 1], [24, 1]], 187/3981312], [[[1, 5], [2, 2], [3, 1], [4, 1], [6, 1], [12, 1], [30, 1]], 43/4976640], [[[1, 5], [2, 2], [3, 1], [4, 1], [6, 1], [14, 1], [18, 1]], 1/580608], [[[1, 5], [2, 2], [3, 1], [4, 1], [6, 2], [7, 1], [8, 1]], 5/344064], [[[1, 5], [2, 2], [3, 1], [4, 1], [6, 2], [7, 1], [10, 1]], 13/1935360], [[[1, 5], [2, 2], [3, 1], [4, 1], [6, 2], [7, 1], [12, 1]], 25/2322432], [[[1, 5], [2, 2], [3, 1], [4, 1], [6, 2], [8, 1], [9, 1]], 11/1990656], [[[1, 5], [2, 2], [3, 1], [4, 1], [6, 2], [8, 1], [14, 1]], 5/2064384], [[[1, 5], [2, 2], [3, 1], [4, 1], [6, 2], [8, 1], [18, 1]], 263/23887872], [[[1, 5], [2, 2], [3, 1], [4, 1], [6, 2], [9, 1], [10, 1]], 17/7464960], [[[1, 5], [2, 2], [3, 1], [4, 1], [6, 2], [9, 1], [12, 1]], 5423/1433272320], [[[1, 5], [2, 2], [3, 1], [4, 1], [6, 2], [10, 1], [14, 1]], 1/1935360], [[[1, 5], [2, 2], [3, 1], [4, 1], [6, 2], [10, 1], [18, 1]], 7/2488320], [[[1, 5], [2, 2], [3, 1], [4, 1], [6, 2], [12, 1], [14, 1]], 11/9289728], [[[1, 5], [2, 2], [3, 1], [4, 1], [6, 2], [12, 1], [18, 1]], 205/35831808], [[[1, 5], [2, 2], [3, 1], [4, 1], [6, 3], [8, 1], [10, 1]], 19/13271040], [[[1, 5], [2, 2], [3, 1], [4, 1], [6, 3], [8, 1], [12, 1]], 1069/286654464], [[[1, 5], [2, 2], [3, 1], [4, 1], [6, 3], [10, 1], [12, 1]], 71/59719680], [[[1, 5], [2, 2], [3, 1], [4, 1], [7, 1], [8, 1], [10, 1]], 1/107520], [[[1, 5], [2, 2], [3, 1], [4, 1], [7, 1], [8, 1], [12, 1]], 37/516096], [[[1, 5], [2, 2], [3, 1], [4, 1], [7, 1], [10, 1], [12, 1]], 1/64512], [[[1, 5], [2, 2], [3, 1], [4, 1], [8, 1], [9, 1], [10, 1]], 13/3317760], [[[1, 5], [2, 2], [3, 1], [4, 1], [8, 1], [9, 1], [12, 1]], 53/1990656], [[[1, 5], [2, 2], [3, 1], [4, 1], [8, 1], [12, 1], [14, 1]], 5/344064], [[[1, 5], [2, 2], [3, 1], [4, 1], [8, 1], [12, 1], [18, 1]], 43/3981312], [[[1, 5], [2, 2], [3, 1], [4, 1], [9, 1], [10, 1], [12, 1]], 7/1244160], [[[1, 5], [2, 2], [3, 1], [4, 1], [10, 1], [12, 1], [14, 1]], 1/322560], [[[1, 5], [2, 2], [3, 1], [4, 1], [10, 1], [12, 1], [18, 1]], 1/414720], [[[1, 5], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [7, 1]], 13/1935360], [[[1, 5], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [9, 1]], 161/74649600], [[[1, 5], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [18, 1]], 371/119439360], [[[1, 5], [2, 2], [3, 1], [4, 2], [5, 1], [6, 2], [8, 1]], 7/4423680], [[[1, 5], [2, 2], [3, 1], [4, 2], [5, 1], [6, 2], [10, 1]], 31/2764800], [[[1, 5], [2, 2], [3, 1], [4, 2], [5, 1], [6, 2], [12, 1]], 18877/9555148800], [[[1, 5], [2, 2], [3, 1], [4, 2], [5, 1], [8, 1], [10, 1]], 1/19200], [[[1, 5], [2, 2], [3, 1], [4, 2], [5, 1], [8, 1], [12, 1]], 2959/33177600], [[[1, 5], [2, 2], [3, 1], [4, 2], [5, 1], [10, 1], [12, 1]], 47/1382400], [[[1, 5], [2, 2], [3, 1], [4, 2], [6, 1], [7, 1], [8, 1]], 13/110592], [[[1, 5], [2, 2], [3, 1], [4, 2], [6, 1], [7, 1], [10, 1]], 1/129024], [[[1, 5], [2, 2], [3, 1], [4, 2], [6, 1], [7, 1], [12, 1]], 157/580608], [[[1, 5], [2, 2], [3, 1], [4, 2], [6, 1], [8, 1], [9, 1]], 3257/95551488], [[[1, 5], [2, 2], [3, 1], [4, 2], [6, 1], [8, 1], [14, 1]], 1/387072], [[[1, 5], [2, 2], [3, 1], [4, 2], [6, 1], [8, 1], [18, 1]], 701/95551488], [[[1, 5], [2, 2], [3, 1], [4, 2], [6, 1], [9, 1], [10, 1]], 167/59719680], [[[1, 5], [2, 2], [3, 1], [4, 2], [6, 1], [9, 1], [12, 1]], 7757/107495424], [[[1, 5], [2, 2], [3, 1], [4, 2], [6, 1], [10, 1], [14, 1]], 1/1935360], [[[1, 5], [2, 2], [3, 1], [4, 2], [6, 1], [10, 1], [18, 1]], 1/552960], [[[1, 5], [2, 2], [3, 1], [4, 2], [6, 1], [12, 1], [14, 1]], 11/4644864], [[[1, 5], [2, 2], [3, 1], [4, 2], [6, 1], [12, 1], [18, 1]], 20299/4299816960], [[[1, 5], [2, 2], [3, 1], [4, 2], [6, 2], [8, 1], [10, 1]], 37/13271040], [[[1, 5], [2, 2], [3, 1], [4, 2], [6, 2], [8, 1], [12, 1]], 23543/1528823808], [[[1, 5], [2, 2], [3, 1], [4, 2], [6, 2], [10, 1], [12, 1]], 11/5308416], [[[1, 5], [2, 2], [3, 1], [4, 2], [8, 1], [10, 1], [12, 1]], 7/737280], [[[1, 5], [2, 2], [3, 1], [4, 3], [5, 1], [6, 1], [8, 1]], 271/44236800], [[[1, 5], [2, 2], [3, 1], [4, 3], [5, 1], [6, 1], [10, 1]], 77/22118400], [[[1, 5], [2, 2], [3, 1], [4, 3], [5, 1], [6, 1], [12, 1]], 4039/199065600], [[[1, 5], [2, 2], [3, 1], [4, 3], [6, 1], [8, 1], [10, 1]], 7/2211840], [[[1, 5], [2, 2], [3, 1], [4, 3], [6, 1], [8, 1], [12, 1]], 5219/63700992], [[[1, 5], [2, 2], [3, 1], [4, 3], [6, 1], [10, 1], [12, 1]], 13/4423680], [[[1, 5], [2, 2], [3, 1], [5, 1], [6, 1], [7, 1], [8, 1]], 1/53760], [[[1, 5], [2, 2], [3, 1], [5, 1], [6, 1], [7, 1], [10, 1]], 17/100800], [[[1, 5], [2, 2], [3, 1], [5, 1], [6, 1], [7, 1], [12, 1]], 1/48384], [[[1, 5], [2, 2], [3, 1], [5, 1], [6, 1], [8, 1], [9, 1]], 61/6220800], [[[1, 5], [2, 2], [3, 1], [5, 1], [6, 1], [8, 1], [14, 1]], 1/161280], [[[1, 5], [2, 2], [3, 1], [5, 1], [6, 1], [8, 1], [18, 1]], 61/6220800], [[[1, 5], [2, 2], [3, 1], [5, 1], [6, 1], [9, 1], [10, 1]], 31/648000], [[[1, 5], [2, 2], [3, 1], [5, 1], [6, 1], [9, 1], [12, 1]], 97/9331200], [[[1, 5], [2, 2], [3, 1], [5, 1], [6, 1], [10, 1], [14, 1]], 1/201600], [[[1, 5], [2, 2], [3, 1], [5, 1], [6, 1], [10, 1], [18, 1]], 1/172800], [[[1, 5], [2, 2], [3, 1], [5, 1], [6, 1], [12, 1], [14, 1]], 1/161280], [[[1, 5], [2, 2], [3, 1], [5, 1], [6, 1], [12, 1], [18, 1]], 37/4665600], [[[1, 5], [2, 2], [3, 1], [5, 1], [6, 2], [8, 1], [10, 1]], 1/345600], [[[1, 5], [2, 2], [3, 1], [5, 1], [6, 2], [8, 1], [12, 1]], 151/33177600], [[[1, 5], [2, 2], [3, 1], [5, 1], [6, 2], [10, 1], [12, 1]], 1/307200], [[[1, 5], [2, 2], [3, 1], [6, 1], [7, 1], [8, 1], [10, 1]], 1/161280], [[[1, 5], [2, 2], [3, 1], [6, 1], [7, 1], [8, 1], [12, 1]], 1/48384], [[[1, 5], [2, 2], [3, 1], [6, 1], [7, 1], [10, 1], [12, 1]], 1/80640], [[[1, 5], [2, 2], [3, 1], [6, 1], [8, 1], [9, 1], [10, 1]], 1/497664], [[[1, 5], [2, 2], [3, 1], [6, 1], [8, 1], [9, 1], [12, 1]], 43/5971968], [[[1, 5], [2, 2], [3, 1], [6, 1], [8, 1], [12, 1], [14, 1]], 1/387072], [[[1, 5], [2, 2], [3, 1], [6, 1], [8, 1], [12, 1], [18, 1]], 11/2985984], [[[1, 5], [2, 2], [3, 1], [6, 1], [9, 1], [10, 1], [12, 1]], 1/233280], [[[1, 5], [2, 2], [3, 1], [6, 1], [10, 1], [12, 1], [14, 1]], 1/483840], [[[1, 5], [2, 2], [3, 1], [6, 1], [10, 1], [12, 1], [18, 1]], 1/414720], [[[1, 5], [2, 2], [3, 1], [6, 2], [8, 1], [10, 1], [12, 1]], 1/829440], [[[1, 5], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1], [7, 1]], 1/71680], [[[1, 5], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1], [9, 1]], 133/12441600], [[[1, 5], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1], [14, 1]], 1/241920], [[[1, 5], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1], [18, 1]], 79/11197440], [[[1, 5], [2, 2], [3, 2], [4, 1], [5, 1], [6, 2], [8, 1]], 217/29491200], [[[1, 5], [2, 2], [3, 2], [4, 1], [5, 1], [6, 2], [10, 1]], 1777/55296000], [[[1, 5], [2, 2], [3, 2], [4, 1], [5, 1], [6, 2], [12, 1]], 2077/149299200], [[[1, 5], [2, 2], [3, 2], [4, 1], [5, 1], [8, 1], [10, 1]], 11/518400], [[[1, 5], [2, 2], [3, 2], [4, 1], [5, 1], [8, 1], [12, 1]], 1633/44236800], [[[1, 5], [2, 2], [3, 2], [4, 1], [5, 1], [10, 1], [12, 1]], 211/27648000], [[[1, 5], [2, 2], [3, 2], [4, 1], [6, 1], [7, 1], [8, 1]], 23/2064384], [[[1, 5], [2, 2], [3, 2], [4, 1], [6, 1], [7, 1], [10, 1]], 1/645120], [[[1, 5], [2, 2], [3, 2], [4, 1], [6, 1], [7, 1], [12, 1]], 1/82944], [[[1, 5], [2, 2], [3, 2], [4, 1], [6, 1], [8, 1], [9, 1]], 295/23887872], [[[1, 5], [2, 2], [3, 2], [4, 1], [6, 1], [8, 1], [14, 1]], 1/2064384], [[[1, 5], [2, 2], [3, 2], [4, 1], [6, 1], [8, 1], [18, 1]], 271/71663616], [[[1, 5], [2, 2], [3, 2], [4, 1], [6, 1], [9, 1], [10, 1]], 7/2488320], [[[1, 5], [2, 2], [3, 2], [4, 1], [6, 1], [9, 1], [12, 1]], 53/5971968], [[[1, 5], [2, 2], [3, 2], [4, 1], [6, 1], [10, 1], [18, 1]], 7/11197440], [[[1, 5], [2, 2], [3, 2], [4, 1], [6, 1], [12, 1], [14, 1]], 17/9289728], [[[1, 5], [2, 2], [3, 2], [4, 1], [6, 1], [12, 1], [18, 1]], 19429/4299816960], [[[1, 5], [2, 2], [3, 2], [4, 1], [6, 2], [8, 1], [10, 1]], 61/106168320], [[[1, 5], [2, 2], [3, 2], [4, 1], [6, 2], [8, 1], [12, 1]], 6047/191102976], [[[1, 5], [2, 2], [3, 2], [4, 1], [6, 2], [10, 1], [12, 1]], 5/2985984], [[[1, 5], [2, 2], [3, 2], [4, 1], [8, 1], [10, 1], [12, 1]], 37/17694720], [[[1, 5], [2, 2], [3, 2], [4, 2], [5, 1], [6, 1], [8, 1]], 293/5308416], [[[1, 5], [2, 2], [3, 2], [4, 2], [5, 1], [6, 1], [10, 1]], 1/30720], [[[1, 5], [2, 2], [3, 2], [4, 2], [5, 1], [6, 1], [12, 1]], 6101/47775744], [[[1, 5], [2, 2], [3, 2], [4, 2], [6, 1], [8, 1], [10, 1]], 17/26542080], [[[1, 5], [2, 2], [3, 2], [4, 2], [6, 1], [8, 1], [12, 1]], 205345/4586471424], [[[1, 5], [2, 2], [3, 2], [4, 2], [6, 1], [10, 1], [12, 1]], 6199/2866544640], [[[1, 5], [2, 2], [3, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 1/345600], [[[1, 5], [2, 2], [3, 2], [5, 1], [6, 1], [8, 1], [12, 1]], 331/33177600], [[[1, 5], [2, 2], [3, 2], [5, 1], [6, 1], [10, 1], [12, 1]], 121/3456000], [[[1, 5], [2, 2], [3, 2], [6, 1], [8, 1], [10, 1], [12, 1]], 17/13271040], [[[1, 5], [2, 2], [3, 3], [4, 1], [5, 1], [6, 1], [8, 1]], 125/23887872], [[[1, 5], [2, 2], [3, 3], [4, 1], [5, 1], [6, 1], [10, 1]], 7/583200], [[[1, 5], [2, 2], [3, 3], [4, 1], [5, 1], [6, 1], [12, 1]], 121/18662400], [[[1, 5], [2, 2], [3, 3], [4, 1], [6, 1], [8, 1], [10, 1]], 19/119439360], [[[1, 5], [2, 2], [3, 3], [4, 1], [6, 1], [8, 1], [12, 1]], 3917/286654464], [[[1, 5], [2, 2], [3, 3], [4, 1], [6, 1], [10, 1], [12, 1]], 149/179159040], [[[1, 5], [2, 2], [4, 1], [5, 1], [6, 1], [7, 1], [8, 1]], 1/107520], [[[1, 5], [2, 2], [4, 1], [5, 1], [6, 1], [7, 1], [10, 1]], 1/134400], [[[1, 5], [2, 2], [4, 1], [5, 1], [6, 1], [7, 1], [12, 1]], 1/107520], [[[1, 5], [2, 2], [4, 1], [5, 1], [6, 1], [8, 1], [9, 1]], 1/414720], [[[1, 5], [2, 2], [4, 1], [5, 1], [6, 1], [8, 1], [18, 1]], 73/8294400], [[[1, 5], [2, 2], [4, 1], [5, 1], [6, 1], [9, 1], [10, 1]], 1/518400], [[[1, 5], [2, 2], [4, 1], [5, 1], [6, 1], [9, 1], [12, 1]], 1/414720], [[[1, 5], [2, 2], [4, 1], [5, 1], [6, 1], [10, 1], [18, 1]], 11/5184000], [[[1, 5], [2, 2], [4, 1], [5, 1], [6, 1], [12, 1], [18, 1]], 11/3110400], [[[1, 5], [2, 2], [4, 1], [5, 1], [6, 2], [8, 1], [12, 1]], 73/44236800], [[[1, 5], [2, 2], [4, 1], [5, 1], [6, 2], [10, 1], [12, 1]], 11/27648000], [[[1, 5], [2, 2], [4, 1], [6, 1], [7, 1], [8, 1], [10, 1]], 17/430080], [[[1, 5], [2, 2], [4, 1], [6, 1], [7, 1], [8, 1], [12, 1]], 53/1032192], [[[1, 5], [2, 2], [4, 1], [6, 1], [7, 1], [10, 1], [12, 1]], 1/46080], [[[1, 5], [2, 2], [4, 1], [6, 1], [8, 1], [9, 1], [10, 1]], 19/1658880], [[[1, 5], [2, 2], [4, 1], [6, 1], [8, 1], [9, 1], [12, 1]], 59/3981312], [[[1, 5], [2, 2], [4, 1], [6, 1], [8, 1], [10, 1], [14, 1]], 1/430080], [[[1, 5], [2, 2], [4, 1], [6, 1], [8, 1], [10, 1], [18, 1]], 11/3317760], [[[1, 5], [2, 2], [4, 1], [6, 1], [8, 1], [12, 1], [14, 1]], 1/344064], [[[1, 5], [2, 2], [4, 1], [6, 1], [8, 1], [12, 1], [18, 1]], 13/3981312], [[[1, 5], [2, 2], [4, 1], [6, 1], [9, 1], [10, 1], [12, 1]], 7/1244160], [[[1, 5], [2, 2], [4, 1], [6, 2], [8, 1], [10, 1], [12, 1]], 29/17694720], [[[1, 5], [2, 2], [4, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 23/1843200], [[[1, 5], [2, 2], [4, 2], [5, 1], [6, 1], [8, 1], [12, 1]], 223/66355200], [[[1, 5], [2, 2], [4, 2], [5, 1], [6, 1], [10, 1], [12, 1]], 1/864000], [[[1, 5], [2, 2], [4, 2], [6, 1], [8, 1], [10, 1], [12, 1]], 67/13271040], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1]], 13/241920], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [9, 1]], 4781/149299200], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [14, 1]], 31/806400], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [18, 1]], 7/233280], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [6, 2], [8, 1]], 23429/796262400], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1]], 1243/13824000], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [6, 2], [12, 1]], 433/16588800], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [8, 1], [10, 1]], 617/6144000], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [8, 1], [12, 1]], 961/14745600], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [10, 1], [12, 1]], 7/86400], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 1], [7, 1], [8, 1]], 179/774144], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 1], [7, 1], [10, 1]], 13/241920], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 1], [7, 1], [12, 1]], 13/64512], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [9, 1]], 3971/31850496], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [14, 1]], 59/442368], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [18, 1]], 47939/477757440], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 1], [9, 1], [10, 1]], 8903/298598400], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 1], [9, 1], [12, 1]], 76213/716636160], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 1], [10, 1], [14, 1]], 19/645120], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 1], [10, 1], [18, 1]], 29/1244160], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 1], [12, 1], [14, 1]], 73/663552], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 1], [12, 1], [18, 1]], 745/8957952], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 2], [8, 1], [10, 1]], 6907/88473600], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 2], [8, 1], [12, 1]], 1099457/7644119040], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 2], [10, 1], [12, 1]], 2633/39813120], [[[1, 5], [2, 4], [3, 1], [4, 1], [8, 1], [10, 1], [12, 1]], 1321/44236800], [[[1, 5], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1]], 22823/132710400], [[[1, 5], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1]], 6127/26542080], [[[1, 5], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1], [12, 1]], 1151249/4777574400], [[[1, 5], [2, 4], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1]], 14839/106168320], [[[1, 5], [2, 4], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 434593/764411904], [[[1, 5], [2, 4], [3, 1], [4, 2], [6, 1], [10, 1], [12, 1]], 837979/4777574400], [[[1, 5], [2, 4], [3, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 41/432000], [[[1, 5], [2, 4], [3, 1], [5, 1], [6, 1], [8, 1], [12, 1]], 301/16588800], [[[1, 5], [2, 4], [3, 1], [5, 1], [6, 1], [10, 1], [12, 1]], 283/20736000], [[[1, 5], [2, 4], [3, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 7/552960], [[[1, 5], [2, 4], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1]], 2089/16588800], [[[1, 5], [2, 4], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1]], 27773/248832000], [[[1, 5], [2, 4], [3, 2], [4, 1], [5, 1], [6, 1], [12, 1]], 271751/2388787200], [[[1, 5], [2, 4], [3, 2], [4, 1], [6, 1], [8, 1], [10, 1]], 167/6635520], [[[1, 5], [2, 4], [3, 2], [4, 1], [6, 1], [8, 1], [12, 1]], 254363/1528823808], [[[1, 5], [2, 4], [3, 2], [4, 1], [6, 1], [10, 1], [12, 1]], 125429/4777574400], [[[1, 5], [2, 4], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 2503/27648000], [[[1, 5], [2, 4], [4, 1], [5, 1], [6, 1], [8, 1], [12, 1]], 11/307200], [[[1, 5], [2, 4], [4, 1], [5, 1], [6, 1], [10, 1], [12, 1]], 7/110592], [[[1, 5], [2, 4], [4, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 41/1105920], [[[1, 5], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 1463/23887872], [[[1, 5], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 853097/6635520000], [[[1, 5], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1], [12, 1]], 33413/796262400], [[[1, 5], [2, 6], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 5753/66355200], [[[1, 5], [2, 6], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 44699/573308928], [[[1, 5], [2, 6], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1]], 51203/796262400], [[[1, 5], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [18, 1]], 1/829440], [[[1, 5], [3, 1], [4, 1], [5, 1], [6, 2], [8, 1], [12, 1]], 1/4423680], [[[1, 5], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1], [18, 1]], 1/1990656], [[[1, 6], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1], [8, 2]], 97/66355200], [[[1, 6], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1], [10, 2]], 7/207360000], [[[1, 6], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1], [12, 2]], 79/99532800], [[[1, 6], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1], [15, 1]], 7/10368000], [[[1, 6], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1], [16, 1]], 1/230400], [[[1, 6], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1], [20, 1]], 7/6912000], [[[1, 6], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1], [24, 1]], 43/8294400], [[[1, 6], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1], [30, 1]], 7/10368000], [[[1, 6], [2, 1], [3, 1], [4, 1], [5, 1], [6, 2], [7, 1]], 1/1935360], [[[1, 6], [2, 1], [3, 1], [4, 1], [5, 1], [6, 2], [9, 1]], 1/7464960], [[[1, 6], [2, 1], [3, 1], [4, 1], [5, 1], [6, 2], [18, 1]], 7/18662400], [[[1, 6], [2, 1], [3, 1], [4, 1], [5, 1], [6, 3], [8, 1]], 1/39813120], [[[1, 6], [2, 1], [3, 1], [4, 1], [5, 1], [6, 3], [12, 1]], 7/99532800], [[[1, 6], [2, 1], [3, 1], [4, 1], [5, 1], [7, 1], [8, 1]], 13/430080], [[[1, 6], [2, 1], [3, 1], [4, 1], [5, 1], [7, 1], [10, 1]], 1/134400], [[[1, 6], [2, 1], [3, 1], [4, 1], [5, 1], [7, 1], [12, 1]], 1/64512], [[[1, 6], [2, 1], [3, 1], [4, 1], [5, 1], [8, 1], [9, 1]], 19/1843200], [[[1, 6], [2, 1], [3, 1], [4, 1], [5, 1], [8, 1], [14, 1]], 1/430080], [[[1, 6], [2, 1], [3, 1], [4, 1], [5, 1], [8, 1], [18, 1]], 1/552960], [[[1, 6], [2, 1], [3, 1], [4, 1], [5, 1], [9, 1], [10, 1]], 11/5184000], [[[1, 6], [2, 1], [3, 1], [4, 1], [5, 1], [9, 1], [12, 1]], 1/230400], [[[1, 6], [2, 1], [3, 1], [4, 1], [5, 2], [6, 1], [8, 1]], 1/22118400], [[[1, 6], [2, 1], [3, 1], [4, 1], [5, 2], [6, 1], [10, 1]], 1/288000], [[[1, 6], [2, 1], [3, 1], [4, 1], [5, 2], [6, 1], [12, 1]], 1/99532800], [[[1, 6], [2, 1], [3, 1], [4, 1], [6, 1], [7, 1], [9, 1]], 5/1741824], [[[1, 6], [2, 1], [3, 1], [4, 1], [6, 1], [7, 1], [18, 1]], 1/580608], [[[1, 6], [2, 1], [3, 1], [4, 1], [6, 1], [8, 1], [10, 2]], 1/22118400], [[[1, 6], [2, 1], [3, 1], [4, 1], [6, 1], [8, 1], [12, 2]], 7/10616832], [[[1, 6], [2, 1], [3, 1], [4, 1], [6, 1], [8, 1], [15, 1]], 1/1105920], [[[1, 6], [2, 1], [3, 1], [4, 1], [6, 1], [8, 1], [20, 1]], 1/737280], [[[1, 6], [2, 1], [3, 1], [4, 1], [6, 1], [8, 1], [24, 1]], 1/884736], [[[1, 6], [2, 1], [3, 1], [4, 1], [6, 1], [8, 1], [30, 1]], 1/1105920], [[[1, 6], [2, 1], [3, 1], [4, 1], [6, 1], [8, 2], [12, 1]], 19/31850496], [[[1, 6], [2, 1], [3, 1], [4, 1], [6, 1], [9, 1], [18, 1]], 17/22394880], [[[1, 6], [2, 1], [3, 1], [4, 1], [6, 1], [10, 2], [12, 1]], 1/99532800], [[[1, 6], [2, 1], [3, 1], [4, 1], [6, 1], [12, 1], [15, 1]], 1/4976640], [[[1, 6], [2, 1], [3, 1], [4, 1], [6, 1], [12, 1], [20, 1]], 1/3317760], [[[1, 6], [2, 1], [3, 1], [4, 1], [6, 1], [12, 1], [24, 1]], 1/3981312], [[[1, 6], [2, 1], [3, 1], [4, 1], [6, 1], [12, 1], [30, 1]], 1/4976640], [[[1, 6], [2, 1], [3, 1], [4, 1], [6, 2], [7, 1], [8, 1]], 5/2064384], [[[1, 6], [2, 1], [3, 1], [4, 1], [6, 2], [7, 1], [10, 1]], 1/1935360], [[[1, 6], [2, 1], [3, 1], [4, 1], [6, 2], [7, 1], [12, 1]], 11/9289728], [[[1, 6], [2, 1], [3, 1], [4, 1], [6, 2], [8, 1], [9, 1]], 17/23887872], [[[1, 6], [2, 1], [3, 1], [4, 1], [6, 2], [8, 1], [14, 1]], 1/6193152], [[[1, 6], [2, 1], [3, 1], [4, 1], [6, 2], [8, 1], [18, 1]], 5/7962624], [[[1, 6], [2, 1], [3, 1], [4, 1], [6, 2], [9, 1], [10, 1]], 1/7464960], [[[1, 6], [2, 1], [3, 1], [4, 1], [6, 2], [9, 1], [12, 1]], 443/1433272320], [[[1, 6], [2, 1], [3, 1], [4, 1], [6, 2], [12, 1], [18, 1]], 1/8957952], [[[1, 6], [2, 1], [3, 1], [4, 1], [6, 3], [8, 1], [10, 1]], 1/13271040], [[[1, 6], [2, 1], [3, 1], [4, 1], [6, 3], [8, 1], [12, 1]], 19/95551488], [[[1, 6], [2, 1], [3, 1], [4, 1], [7, 1], [8, 1], [12, 1]], 5/344064], [[[1, 6], [2, 1], [3, 1], [4, 1], [7, 1], [10, 1], [12, 1]], 1/322560], [[[1, 6], [2, 1], [3, 1], [4, 1], [8, 1], [9, 1], [12, 1]], 17/3981312], [[[1, 6], [2, 1], [3, 1], [4, 1], [8, 1], [12, 1], [14, 1]], 1/1032192], [[[1, 6], [2, 1], [3, 1], [4, 1], [8, 1], [12, 1], [18, 1]], 1/1327104], [[[1, 6], [2, 1], [3, 1], [4, 1], [9, 1], [10, 1], [12, 1]], 1/1244160], [[[1, 6], [2, 1], [3, 1], [4, 2], [5, 1], [6, 1], [18, 1]], 79/298598400], [[[1, 6], [2, 1], [3, 1], [4, 2], [5, 1], [6, 2], [8, 1]], 1/8847360], [[[1, 6], [2, 1], [3, 1], [4, 2], [5, 1], [6, 2], [12, 1]], 137/955514880], [[[1, 6], [2, 1], [3, 1], [4, 2], [5, 1], [8, 1], [10, 1]], 1/614400], [[[1, 6], [2, 1], [3, 1], [4, 2], [5, 1], [8, 1], [12, 1]], 253/66355200], [[[1, 6], [2, 1], [3, 1], [4, 2], [6, 1], [7, 1], [8, 1]], 1/387072], [[[1, 6], [2, 1], [3, 1], [4, 2], [6, 1], [7, 1], [10, 1]], 1/1935360], [[[1, 6], [2, 1], [3, 1], [4, 2], [6, 1], [7, 1], [12, 1]], 11/4644864], [[[1, 6], [2, 1], [3, 1], [4, 2], [6, 1], [8, 1], [9, 1]], 77/95551488], [[[1, 6], [2, 1], [3, 1], [4, 2], [6, 1], [8, 1], [18, 1]], 41/95551488], [[[1, 6], [2, 1], [3, 1], [4, 2], [6, 1], [9, 1], [10, 1]], 17/119439360], [[[1, 6], [2, 1], [3, 1], [4, 2], [6, 1], [9, 1], [12, 1]], 179/286654464], [[[1, 6], [2, 1], [3, 1], [4, 2], [6, 1], [12, 1], [18, 1]], 43/604661760], [[[1, 6], [2, 1], [3, 1], [4, 2], [6, 2], [8, 1], [10, 1]], 1/8847360], [[[1, 6], [2, 1], [3, 1], [4, 2], [6, 2], [8, 1], [12, 1]], 443/1528823808], [[[1, 6], [2, 1], [3, 1], [4, 2], [8, 1], [10, 1], [12, 1]], 1/1474560], [[[1, 6], [2, 1], [3, 1], [4, 3], [5, 1], [6, 1], [8, 1]], 1/2764800], [[[1, 6], [2, 1], [3, 1], [4, 3], [5, 1], [6, 1], [10, 1]], 1/4423680], [[[1, 6], [2, 1], [3, 1], [4, 3], [5, 1], [6, 1], [12, 1]], 43/24883200], [[[1, 6], [2, 1], [3, 1], [4, 3], [6, 1], [8, 1], [10, 1]], 1/8847360], [[[1, 6], [2, 1], [3, 1], [4, 3], [6, 1], [8, 1], [12, 1]], 5/7077888], [[[1, 6], [2, 1], [3, 1], [5, 1], [6, 1], [7, 1], [8, 1]], 1/161280], [[[1, 6], [2, 1], [3, 1], [5, 1], [6, 1], [7, 1], [10, 1]], 1/201600], [[[1, 6], [2, 1], [3, 1], [5, 1], [6, 1], [7, 1], [12, 1]], 1/161280], [[[1, 6], [2, 1], [3, 1], [5, 1], [6, 1], [8, 1], [9, 1]], 11/6220800], [[[1, 6], [2, 1], [3, 1], [5, 1], [6, 1], [8, 1], [18, 1]], 7/12441600], [[[1, 6], [2, 1], [3, 1], [5, 1], [6, 1], [9, 1], [10, 1]], 11/7776000], [[[1, 6], [2, 1], [3, 1], [5, 1], [6, 1], [9, 1], [12, 1]], 11/6220800], [[[1, 6], [2, 1], [3, 1], [5, 1], [6, 1], [12, 1], [18, 1]], 7/9331200], [[[1, 6], [2, 1], [3, 1], [5, 1], [6, 2], [8, 1], [12, 1]], 7/66355200], [[[1, 6], [2, 1], [3, 1], [6, 1], [7, 1], [8, 1], [12, 1]], 1/387072], [[[1, 6], [2, 1], [3, 1], [6, 1], [7, 1], [10, 1], [12, 1]], 1/483840], [[[1, 6], [2, 1], [3, 1], [6, 1], [8, 1], [9, 1], [12, 1]], 1/1492992], [[[1, 6], [2, 1], [3, 1], [6, 1], [8, 1], [12, 1], [18, 1]], 1/5971968], [[[1, 6], [2, 1], [3, 1], [6, 1], [9, 1], [10, 1], [12, 1]], 1/1866240], [[[1, 6], [2, 1], [3, 2], [4, 1], [5, 1], [6, 1], [7, 1]], 1/241920], [[[1, 6], [2, 1], [3, 2], [4, 1], [5, 1], [6, 1], [9, 1]], 1/691200], [[[1, 6], [2, 1], [3, 2], [4, 1], [5, 1], [6, 1], [18, 1]], 1/1119744], [[[1, 6], [2, 1], [3, 2], [4, 1], [5, 1], [6, 2], [8, 1]], 23/19660800], [[[1, 6], [2, 1], [3, 2], [4, 1], [5, 1], [6, 2], [10, 1]], 41/165888000], [[[1, 6], [2, 1], [3, 2], [4, 1], [5, 1], [6, 2], [12, 1]], 419/298598400], [[[1, 6], [2, 1], [3, 2], [4, 1], [5, 1], [8, 1], [10, 1]], 1/414720], [[[1, 6], [2, 1], [3, 2], [4, 1], [5, 1], [8, 1], [12, 1]], 23/3276800], [[[1, 6], [2, 1], [3, 2], [4, 1], [5, 1], [10, 1], [12, 1]], 41/27648000], [[[1, 6], [2, 1], [3, 2], [4, 1], [6, 1], [7, 1], [8, 1]], 1/2064384], [[[1, 6], [2, 1], [3, 2], [4, 1], [6, 1], [7, 1], [12, 1]], 17/9289728], [[[1, 6], [2, 1], [3, 2], [4, 1], [6, 1], [8, 1], [9, 1]], 5/7962624], [[[1, 6], [2, 1], [3, 2], [4, 1], [6, 1], [8, 1], [18, 1]], 17/35831808], [[[1, 6], [2, 1], [3, 2], [4, 1], [6, 1], [9, 1], [12, 1]], 7/11943936], [[[1, 6], [2, 1], [3, 2], [4, 1], [6, 1], [10, 1], [18, 1]], 1/11197440], [[[1, 6], [2, 1], [3, 2], [4, 1], [6, 1], [12, 1], [18, 1]], 2089/4299816960], [[[1, 6], [2, 1], [3, 2], [4, 1], [6, 2], [8, 1], [12, 1]], 119/191102976], [[[1, 6], [2, 1], [3, 2], [4, 1], [6, 2], [10, 1], [12, 1]], 7/59719680], [[[1, 6], [2, 1], [3, 2], [4, 2], [5, 1], [6, 1], [8, 1]], 1/829440], [[[1, 6], [2, 1], [3, 2], [4, 2], [5, 1], [6, 1], [10, 1]], 1/4147200], [[[1, 6], [2, 1], [3, 2], [4, 2], [5, 1], [6, 1], [12, 1]], 7/6220800], [[[1, 6], [2, 1], [3, 2], [4, 2], [6, 1], [8, 1], [12, 1]], 2677/4586471424], [[[1, 6], [2, 1], [3, 2], [4, 2], [6, 1], [10, 1], [12, 1]], 841/5733089280], [[[1, 6], [2, 1], [3, 2], [5, 1], [6, 1], [8, 1], [12, 1]], 41/33177600], [[[1, 6], [2, 1], [3, 2], [5, 1], [6, 1], [10, 1], [12, 1]], 41/41472000], [[[1, 6], [2, 1], [3, 3], [4, 1], [5, 1], [6, 1], [8, 1]], 1/4423680], [[[1, 6], [2, 1], [3, 3], [4, 1], [5, 1], [6, 1], [10, 1]], 1/622080], [[[1, 6], [2, 1], [3, 3], [4, 1], [5, 1], [6, 1], [12, 1]], 29/33177600], [[[1, 6], [2, 1], [3, 3], [4, 1], [6, 1], [8, 1], [10, 1]], 1/119439360], [[[1, 6], [2, 1], [3, 3], [4, 1], [6, 1], [8, 1], [12, 1]], 49/31850496], [[[1, 6], [2, 1], [4, 1], [5, 1], [6, 1], [8, 1], [18, 1]], 7/5529600], [[[1, 6], [2, 1], [4, 1], [5, 1], [6, 1], [10, 1], [18, 1]], 1/5184000], [[[1, 6], [2, 1], [4, 1], [5, 1], [6, 1], [12, 1], [18, 1]], 1/3110400], [[[1, 6], [2, 1], [4, 1], [5, 1], [6, 2], [8, 1], [12, 1]], 7/29491200], [[[1, 6], [2, 1], [4, 1], [5, 1], [6, 2], [10, 1], [12, 1]], 1/27648000], [[[1, 6], [2, 1], [4, 1], [6, 1], [7, 1], [8, 1], [10, 1]], 1/430080], [[[1, 6], [2, 1], [4, 1], [6, 1], [7, 1], [8, 1], [12, 1]], 1/344064], [[[1, 6], [2, 1], [4, 1], [6, 1], [8, 1], [9, 1], [10, 1]], 1/1658880], [[[1, 6], [2, 1], [4, 1], [6, 1], [8, 1], [9, 1], [12, 1]], 1/1327104], [[[1, 6], [2, 1], [4, 2], [5, 1], [6, 1], [8, 1], [12, 1]], 1/8294400], [[[1, 6], [2, 1], [4, 2], [5, 1], [6, 1], [10, 1], [12, 1]], 1/10368000], [[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1]], 31/806400], [[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [9, 1]], 2417/149299200], [[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [14, 1]], 11/1075200], [[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [18, 1]], 119/11059200], [[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2], [8, 1]], 377/33177600], [[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1]], 1379/82944000], [[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2], [12, 1]], 14261/1592524800], [[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [8, 1], [10, 1]], 641/27648000], [[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [8, 1], [12, 1]], 1/27648], [[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [10, 1], [12, 1]], 37/1536000], [[[1, 6], [2, 3], [3, 1], [4, 1], [6, 1], [7, 1], [8, 1]], 59/442368], [[[1, 6], [2, 3], [3, 1], [4, 1], [6, 1], [7, 1], [10, 1]], 19/645120], [[[1, 6], [2, 3], [3, 1], [4, 1], [6, 1], [7, 1], [12, 1]], 73/663552], [[[1, 6], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [9, 1]], 21421/477757440], [[[1, 6], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [14, 1]], 29/1548288], [[[1, 6], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [18, 1]], 70381/4299816960], [[[1, 6], [2, 3], [3, 1], [4, 1], [6, 1], [9, 1], [10, 1]], 49/4665600], [[[1, 6], [2, 3], [3, 1], [4, 1], [6, 1], [9, 1], [12, 1]], 1507/44789760], [[[1, 6], [2, 3], [3, 1], [4, 1], [6, 1], [10, 1], [14, 1]], 1/215040], [[[1, 6], [2, 3], [3, 1], [4, 1], [6, 1], [10, 1], [18, 1]], 83/18662400], [[[1, 6], [2, 3], [3, 1], [4, 1], [6, 1], [12, 1], [14, 1]], 11/1161216], [[[1, 6], [2, 3], [3, 1], [4, 1], [6, 1], [12, 1], [18, 1]], 5911/716636160], [[[1, 6], [2, 3], [3, 1], [4, 1], [6, 2], [8, 1], [10, 1]], 13/1105920], [[[1, 6], [2, 3], [3, 1], [4, 1], [6, 2], [8, 1], [12, 1]], 418861/22932357120], [[[1, 6], [2, 3], [3, 1], [4, 1], [6, 2], [10, 1], [12, 1]], 1391/199065600], [[[1, 6], [2, 3], [3, 1], [4, 1], [8, 1], [10, 1], [12, 1]], 1/138240], [[[1, 6], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1]], 29519/530841600], [[[1, 6], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1]], 2951/73728000], [[[1, 6], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [12, 1]], 79277/955514880], [[[1, 6], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1]], 983/53084160], [[[1, 6], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 4243/47185920], [[[1, 6], [2, 3], [3, 1], [4, 2], [6, 1], [10, 1], [12, 1]], 428443/42998169600], [[[1, 6], [2, 3], [3, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 83/4608000], [[[1, 6], [2, 3], [3, 1], [5, 1], [6, 1], [8, 1], [12, 1]], 103/11059200], [[[1, 6], [2, 3], [3, 1], [5, 1], [6, 1], [10, 1], [12, 1]], 13/2304000], [[[1, 6], [2, 3], [3, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 17/6635520], [[[1, 6], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1]], 53993/796262400], [[[1, 6], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1]], 5051/124416000], [[[1, 6], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1], [12, 1]], 143699/2388787200], [[[1, 6], [2, 3], [3, 2], [4, 1], [6, 1], [8, 1], [10, 1]], 1001/159252480], [[[1, 6], [2, 3], [3, 2], [4, 1], [6, 1], [8, 1], [12, 1]], 22849/509607936], [[[1, 6], [2, 3], [3, 2], [4, 1], [6, 1], [10, 1], [12, 1]], 1877/199065600], [[[1, 6], [2, 3], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 683/55296000], [[[1, 6], [2, 3], [4, 1], [5, 1], [6, 1], [8, 1], [12, 1]], 127/8847360], [[[1, 6], [2, 3], [4, 1], [5, 1], [6, 1], [10, 1], [12, 1]], 41/6912000], [[[1, 6], [2, 3], [4, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 23/8847360], [[[1, 6], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 5753/66355200], [[[1, 6], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 853097/6635520000], [[[1, 6], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [12, 1]], 51203/796262400], [[[1, 6], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 1463/23887872], [[[1, 6], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 44699/573308928], [[[1, 6], [2, 5], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1]], 33413/796262400], [[[1, 7], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1]], 11/1075200], [[[1, 7], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [9, 1]], 1/307200], [[[1, 7], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [14, 1]], 1/1382400], [[[1, 7], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [18, 1]], 7/5248800], [[[1, 7], [2, 2], [3, 1], [4, 1], [5, 1], [6, 2], [8, 1]], 127/88473600], [[[1, 7], [2, 2], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1]], 7/13824000], [[[1, 7], [2, 2], [3, 1], [4, 1], [5, 1], [6, 2], [12, 1]], 1519/1791590400], [[[1, 7], [2, 2], [3, 1], [4, 1], [5, 1], [8, 1], [10, 1]], 1153/497664000], [[[1, 7], [2, 2], [3, 1], [4, 1], [5, 1], [8, 1], [12, 1]], 53/8847360], [[[1, 7], [2, 2], [3, 1], [4, 1], [5, 1], [10, 1], [12, 1]], 7/6912000], [[[1, 7], [2, 2], [3, 1], [4, 1], [6, 1], [7, 1], [8, 1]], 29/1548288], [[[1, 7], [2, 2], [3, 1], [4, 1], [6, 1], [7, 1], [10, 1]], 1/215040], [[[1, 7], [2, 2], [3, 1], [4, 1], [6, 1], [7, 1], [12, 1]], 11/1161216], [[[1, 7], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1], [9, 1]], 2591/477757440], [[[1, 7], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1], [14, 1]], 1/1032192], [[[1, 7], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1], [18, 1]], 4511/4299816960], [[[1, 7], [2, 2], [3, 1], [4, 1], [6, 1], [9, 1], [10, 1]], 121/99532800], [[[1, 7], [2, 2], [3, 1], [4, 1], [6, 1], [9, 1], [12, 1]], 1849/716636160], [[[1, 7], [2, 2], [3, 1], [4, 1], [6, 1], [10, 1], [18, 1]], 37/1343692800], [[[1, 7], [2, 2], [3, 1], [4, 1], [6, 1], [12, 1], [14, 1]], 1/4644864], [[[1, 7], [2, 2], [3, 1], [4, 1], [6, 1], [12, 1], [18, 1]], 253/806215680], [[[1, 7], [2, 2], [3, 1], [4, 1], [6, 2], [8, 1], [10, 1]], 29/53084160], [[[1, 7], [2, 2], [3, 1], [4, 1], [6, 2], [8, 1], [12, 1]], 20711/22932357120], [[[1, 7], [2, 2], [3, 1], [4, 1], [6, 2], [10, 1], [12, 1]], 757/7166361600], [[[1, 7], [2, 2], [3, 1], [4, 1], [8, 1], [10, 1], [12, 1]], 1/1769472], [[[1, 7], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1]], 1627/265420800], [[[1, 7], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1]], 31/24576000], [[[1, 7], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [12, 1]], 7369/955514880], [[[1, 7], [2, 2], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1]], 113/106168320], [[[1, 7], [2, 2], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 102733/34398535680], [[[1, 7], [2, 2], [3, 1], [4, 2], [6, 1], [10, 1], [12, 1]], 9383/42998169600], [[[1, 7], [2, 2], [3, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 7/13824000], [[[1, 7], [2, 2], [3, 1], [5, 1], [6, 1], [8, 1], [12, 1]], 49/33177600], [[[1, 7], [2, 2], [3, 1], [5, 1], [6, 1], [10, 1], [12, 1]], 1/1382400], [[[1, 7], [2, 2], [3, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 1/6635520], [[[1, 7], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1]], 229/24883200], [[[1, 7], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1]], 2077/746496000], [[[1, 7], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1], [12, 1]], 461/79626240], [[[1, 7], [2, 2], [3, 2], [4, 1], [6, 1], [8, 1], [10, 1]], 11/19906560], [[[1, 7], [2, 2], [3, 2], [4, 1], [6, 1], [8, 1], [12, 1]], 118231/22932357120], [[[1, 7], [2, 2], [3, 2], [4, 1], [6, 1], [10, 1], [12, 1]], 5449/4777574400], [[[1, 7], [2, 2], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 13/9216000], [[[1, 7], [2, 2], [4, 1], [5, 1], [6, 1], [8, 1], [12, 1]], 1/552960], [[[1, 7], [2, 2], [4, 1], [5, 1], [6, 1], [10, 1], [12, 1]], 7/13824000], [[[1, 7], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 11657/265420800], [[[1, 7], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 196771/5971968000], [[[1, 7], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [12, 1]], 225983/7166361600], [[[1, 7], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 4603/398131200], [[[1, 7], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 103489/5733089280], [[[1, 7], [2, 4], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1]], 34273/7166361600], [[[1, 8], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1]], 1/1382400], [[[1, 8], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1], [9, 1]], 1/4976640], [[[1, 8], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1], [18, 1]], 137/2687385600], [[[1, 8], [2, 1], [3, 1], [4, 1], [5, 1], [6, 2], [8, 1]], 1/11059200], [[[1, 8], [2, 1], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1]], 1/82944000], [[[1, 8], [2, 1], [3, 1], [4, 1], [5, 1], [6, 2], [12, 1]], 17/573308928], [[[1, 8], [2, 1], [3, 1], [4, 1], [5, 1], [8, 1], [10, 1]], 1/49766400], [[[1, 8], [2, 1], [3, 1], [4, 1], [5, 1], [8, 1], [12, 1]], 1/1843200], [[[1, 8], [2, 1], [3, 1], [4, 1], [5, 1], [10, 1], [12, 1]], 1/13824000], [[[1, 8], [2, 1], [3, 1], [4, 1], [6, 1], [7, 1], [8, 1]], 1/1032192], [[[1, 8], [2, 1], [3, 1], [4, 1], [6, 1], [7, 1], [12, 1]], 1/4644864], [[[1, 8], [2, 1], [3, 1], [4, 1], [6, 1], [8, 1], [9, 1]], 1/3981312], [[[1, 8], [2, 1], [3, 1], [4, 1], [6, 1], [8, 1], [18, 1]], 47/4299816960], [[[1, 8], [2, 1], [3, 1], [4, 1], [6, 1], [9, 1], [12, 1]], 1/17915904], [[[1, 8], [2, 1], [3, 1], [4, 1], [6, 1], [10, 1], [18, 1]], 1/1343692800], [[[1, 8], [2, 1], [3, 1], [4, 1], [6, 1], [12, 1], [18, 1]], 7/1289945088], [[[1, 8], [2, 1], [3, 1], [4, 1], [6, 2], [8, 1], [12, 1]], 47/22932357120], [[[1, 8], [2, 1], [3, 1], [4, 1], [6, 2], [10, 1], [12, 1]], 1/7166361600], [[[1, 8], [2, 1], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1]], 97/530841600], [[[1, 8], [2, 1], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1]], 13/663552000], [[[1, 8], [2, 1], [3, 1], [4, 2], [5, 1], [6, 1], [12, 1]], 103/1592524800], [[[1, 8], [2, 1], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 1771/34398535680], [[[1, 8], [2, 1], [3, 1], [4, 2], [6, 1], [10, 1], [12, 1]], 151/42998169600], [[[1, 8], [2, 1], [3, 1], [5, 1], [6, 1], [8, 1], [12, 1]], 1/16588800], [[[1, 8], [2, 1], [3, 1], [5, 1], [6, 1], [10, 1], [12, 1]], 1/20736000], [[[1, 8], [2, 1], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1]], 41/88473600], [[[1, 8], [2, 1], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1]], 1/74649600], [[[1, 8], [2, 1], [3, 2], [4, 1], [5, 1], [6, 1], [12, 1]], 19/132710400], [[[1, 8], [2, 1], [3, 2], [4, 1], [6, 1], [8, 1], [10, 1]], 1/39813120], [[[1, 8], [2, 1], [3, 2], [4, 1], [6, 1], [8, 1], [12, 1]], 331/1433272320], [[[1, 8], [2, 1], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/18432000], [[[1, 8], [2, 1], [4, 1], [5, 1], [6, 1], [8, 1], [12, 1]], 1/14745600], [[[1, 8], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 10081/1194393600], [[[1, 8], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 20089/8360755200], [[[1, 8], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [12, 1]], 35351/7166361600], [[[1, 8], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 2083/2388787200], [[[1, 8], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 1859/1486356480], [[[1, 8], [2, 3], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1]], 611/2388787200], [[[1, 9], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 3343/4777574400], [[[1, 9], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 19889/167215104000], [[[1, 9], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [12, 1]], 133/477757440], [[[1, 9], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 13/1194393600], [[[1, 9], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 5179/133772083200], [[[1, 9], [2, 2], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1]], 41/7166361600], [[[1, 10], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 1/44236800], [[[1, 10], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 1/167215104000], [[[1, 10], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1], [12, 1]], 1/199065600], [[[1, 10], [2, 1], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 1/4777574400], [[[1, 10], [2, 1], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 107/401316249600], [[[2, 1], [3, 1], [4, 2], [6, 1], [9, 1], [12, 1], [18, 1]], 7/104976], [[[2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [9, 1], [18, 1]], 7/186624], [[[2, 3], [3, 1], [4, 1], [6, 2], [8, 1], [9, 1], [12, 1]], 1/3981312], [[[2, 3], [3, 1], [4, 2], [6, 1], [9, 1], [10, 1], [12, 1]], 1/466560], [[[2, 3], [3, 2], [4, 1], [6, 1], [8, 1], [12, 1], [18, 1]], 1/3981312], [[[2, 5], [3, 1], [4, 1], [6, 1], [8, 1], [9, 1], [10, 1]], 1/829440], [[[2, 5], [3, 1], [4, 1], [6, 1], [8, 1], [9, 1], [12, 1]], 1/1990656], [[[2, 5], [3, 2], [4, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 1/4423680], [[[1, 1], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [8, 2], [10, 1]], 1/46080], [[[1, 1], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [9, 1], [18, 1]], 7/58320], [[[1, 1], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1], [12, 2]], 1/69120], [[[1, 1], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1], [15, 1]], 1/7200], [[[1, 1], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1], [20, 1]], 1/4800], [[[1, 1], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1], [24, 1]], 1/5760], [[[1, 1], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1], [30, 1]], 1/7200], [[[1, 1], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [12, 1], [15, 1]], 1/240], [[[1, 1], [2, 2], [3, 1], [4, 1], [5, 1], [6, 2], [9, 1], [12, 1]], 1/1244160], [[[1, 1], [2, 2], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1], [18, 1]], 1/12960], [[[1, 1], [2, 2], [3, 1], [4, 1], [5, 1], [6, 3], [10, 1], [12, 1]], 1/69120], [[[1, 1], [2, 2], [3, 1], [4, 1], [5, 1], [8, 1], [9, 1], [10, 1]], 1/8640], [[[1, 1], [2, 2], [3, 1], [4, 1], [5, 2], [6, 1], [8, 1], [12, 1]], 1/172800], [[[1, 1], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1], [9, 1], [18, 1]], 77/186624], [[[1, 1], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1], [10, 2], [12, 1]], 1/172800], [[[1, 1], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1], [15, 1]], 1/8640], [[[1, 1], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1], [20, 1]], 1/5760], [[[1, 1], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1], [24, 1]], 91/6912], [[[1, 1], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1], [30, 1]], 1/8640], [[[1, 1], [2, 2], [3, 1], [4, 1], [6, 1], [9, 1], [10, 1], [18, 1]], 7/58320], [[[1, 1], [2, 2], [3, 1], [4, 1], [6, 1], [9, 1], [12, 1], [18, 1]], 11/4374], [[[1, 1], [2, 2], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1], [30, 1]], 1/240], [[[1, 1], [2, 2], [3, 1], [4, 1], [6, 2], [8, 1], [9, 1], [12, 1]], 11/3981312], [[[1, 1], [2, 2], [3, 1], [4, 1], [6, 2], [8, 1], [12, 1], [18, 1]], 1/15552], [[[1, 1], [2, 2], [3, 1], [4, 1], [6, 2], [9, 1], [10, 1], [12, 1]], 1/1244160], [[[1, 1], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [12, 1], [18, 1]], 1/466560], [[[1, 1], [2, 2], [3, 1], [4, 2], [6, 1], [8, 1], [9, 1], [12, 1]], 1/373248], [[[1, 1], [2, 2], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1], [18, 1]], 1/373248], [[[1, 1], [2, 2], [3, 1], [4, 2], [6, 1], [9, 1], [10, 1], [12, 1]], 1/233280], [[[1, 1], [2, 2], [3, 1], [4, 3], [5, 1], [6, 1], [10, 1], [12, 1]], 1/17280], [[[1, 1], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1], [9, 1], [10, 1]], 1/12960], [[[1, 1], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1], [12, 1], [18, 1]], 1/1244160], [[[1, 1], [2, 2], [3, 2], [4, 1], [5, 1], [6, 2], [8, 1], [10, 1]], 1/276480], [[[1, 1], [2, 2], [3, 2], [4, 1], [5, 1], [8, 1], [10, 1], [12, 1]], 1/46080], [[[1, 1], [2, 2], [3, 2], [4, 1], [6, 1], [8, 1], [9, 1], [12, 1]], 1/15552], [[[1, 1], [2, 2], [3, 2], [4, 1], [6, 1], [8, 1], [12, 1], [18, 1]], 11/3981312], [[[1, 1], [2, 2], [3, 2], [4, 1], [6, 1], [10, 1], [12, 1], [18, 1]], 1/1244160], [[[1, 1], [2, 2], [3, 3], [4, 1], [5, 1], [6, 1], [10, 1], [12, 1]], 1/69120], [[[1, 1], [2, 2], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1], [18, 1]], 1/8640], [[[1, 1], [2, 2], [4, 1], [5, 1], [6, 2], [8, 1], [10, 1], [12, 1]], 1/46080], [[[1, 1], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [18, 1]], 1/829440], [[[1, 1], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [9, 1], [10, 1]], 1/259200], [[[1, 1], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [9, 1], [12, 1]], 1/622080], [[[1, 1], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1], [14, 1]], 1/6720], [[[1, 1], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1], [18, 1]], 1/25920], [[[1, 1], [2, 4], [3, 1], [4, 1], [5, 1], [6, 2], [8, 1], [12, 1]], 1/4423680], [[[1, 1], [2, 4], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1], [12, 1]], 1/34560], [[[1, 1], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [9, 1], [10, 1]], 1/69120], [[[1, 1], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [9, 1], [12, 1]], 7/995328], [[[1, 1], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1], [14, 1]], 1/8064], [[[1, 1], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1], [18, 1]], 67/1990656], [[[1, 1], [2, 4], [3, 1], [4, 1], [6, 1], [9, 1], [10, 1], [12, 1]], 1/124416], [[[1, 1], [2, 4], [3, 1], [4, 1], [6, 2], [8, 1], [10, 1], [12, 1]], 1/17280], [[[1, 1], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 1/30720], [[[1, 1], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1], [12, 1]], 1/518400], [[[1, 1], [2, 4], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1], [12, 1]], 1/414720], [[[1, 1], [2, 4], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/138240], [[[1, 1], [2, 4], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1], [12, 1]], 1/1382400], [[[1, 1], [2, 4], [3, 2], [4, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 1/368640], [[[1, 1], [2, 4], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 1/23040], [[[1, 1], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/921600], [[[1, 1], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [12, 1]], 1/2211840], [[[1, 1], [2, 6], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 47/11059200], [[[1, 2], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1], [8, 2], [10, 1]], 1/46080], [[[1, 2], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1], [9, 1], [18, 1]], 7/58320], [[[1, 2], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1], [12, 2]], 1/69120], [[[1, 2], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1], [15, 1]], 1/7200], [[[1, 2], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1], [20, 1]], 1/4800], [[[1, 2], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1], [24, 1]], 1/5760], [[[1, 2], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1], [30, 1]], 1/7200], [[[1, 2], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1], [12, 1], [15, 1]], 1/240], [[[1, 2], [2, 1], [3, 1], [4, 1], [5, 1], [6, 2], [9, 1], [12, 1]], 1/1244160], [[[1, 2], [2, 1], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1], [18, 1]], 1/12960], [[[1, 2], [2, 1], [3, 1], [4, 1], [5, 1], [6, 3], [10, 1], [12, 1]], 1/69120], [[[1, 2], [2, 1], [3, 1], [4, 1], [5, 1], [8, 1], [9, 1], [10, 1]], 1/8640], [[[1, 2], [2, 1], [3, 1], [4, 1], [5, 2], [6, 1], [8, 1], [12, 1]], 1/172800], [[[1, 2], [2, 1], [3, 1], [4, 1], [6, 1], [8, 1], [9, 1], [18, 1]], 77/186624], [[[1, 2], [2, 1], [3, 1], [4, 1], [6, 1], [8, 1], [10, 2], [12, 1]], 1/172800], [[[1, 2], [2, 1], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1], [15, 1]], 1/8640], [[[1, 2], [2, 1], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1], [20, 1]], 1/5760], [[[1, 2], [2, 1], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1], [24, 1]], 91/6912], [[[1, 2], [2, 1], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1], [30, 1]], 1/8640], [[[1, 2], [2, 1], [3, 1], [4, 1], [6, 1], [9, 1], [10, 1], [18, 1]], 7/58320], [[[1, 2], [2, 1], [3, 1], [4, 1], [6, 1], [9, 1], [12, 1], [18, 1]], 11/4374], [[[1, 2], [2, 1], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1], [30, 1]], 1/240], [[[1, 2], [2, 1], [3, 1], [4, 1], [6, 2], [8, 1], [9, 1], [12, 1]], 11/3981312], [[[1, 2], [2, 1], [3, 1], [4, 1], [6, 2], [8, 1], [12, 1], [18, 1]], 1/15552], [[[1, 2], [2, 1], [3, 1], [4, 1], [6, 2], [9, 1], [10, 1], [12, 1]], 1/1244160], [[[1, 2], [2, 1], [3, 1], [4, 2], [5, 1], [6, 1], [12, 1], [18, 1]], 1/233280], [[[1, 2], [2, 1], [3, 1], [4, 2], [6, 1], [8, 1], [9, 1], [12, 1]], 1/373248], [[[1, 2], [2, 1], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1], [18, 1]], 1/373248], [[[1, 2], [2, 1], [3, 1], [4, 2], [6, 1], [9, 1], [10, 1], [12, 1]], 1/466560], [[[1, 2], [2, 1], [3, 1], [4, 3], [5, 1], [6, 1], [10, 1], [12, 1]], 1/17280], [[[1, 2], [2, 1], [3, 2], [4, 1], [5, 1], [6, 1], [9, 1], [10, 1]], 1/12960], [[[1, 2], [2, 1], [3, 2], [4, 1], [5, 1], [6, 1], [12, 1], [18, 1]], 1/1244160], [[[1, 2], [2, 1], [3, 2], [4, 1], [5, 1], [6, 2], [8, 1], [10, 1]], 1/276480], [[[1, 2], [2, 1], [3, 2], [4, 1], [5, 1], [8, 1], [10, 1], [12, 1]], 1/46080], [[[1, 2], [2, 1], [3, 2], [4, 1], [6, 1], [8, 1], [9, 1], [12, 1]], 1/15552], [[[1, 2], [2, 1], [3, 2], [4, 1], [6, 1], [8, 1], [12, 1], [18, 1]], 11/3981312], [[[1, 2], [2, 1], [3, 2], [4, 1], [6, 1], [10, 1], [12, 1], [18, 1]], 1/1244160], [[[1, 2], [2, 1], [3, 3], [4, 1], [5, 1], [6, 1], [10, 1], [12, 1]], 1/69120], [[[1, 2], [2, 1], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1], [18, 1]], 1/8640], [[[1, 2], [2, 1], [4, 1], [5, 1], [6, 2], [8, 1], [10, 1], [12, 1]], 1/46080], [[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1], [10, 1]], 1/6720], [[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [9, 1]], 1/207360], [[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [18, 1]], 1/51840], [[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [9, 1], [10, 1]], 1/8100], [[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [9, 1], [12, 1]], 1/155520], [[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1], [14, 1]], 1/3360], [[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1], [18, 1]], 41/259200], [[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [12, 1], [18, 1]], 7/622080], [[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2], [8, 1], [10, 1]], 1/9216], [[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2], [8, 1], [12, 1]], 1/276480], [[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1], [12, 1]], 161/1382400], [[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [8, 1], [10, 1], [12, 1]], 1/7680], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 1], [7, 1], [8, 1], [12, 1]], 1/8064], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [9, 1], [10, 1]], 13/414720], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [9, 1], [12, 1]], 7/55296], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1], [18, 1]], 1/207360], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1], [14, 1]], 1/4032], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1], [18, 1]], 17/110592], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 1], [9, 1], [10, 1], [12, 1]], 1/51840], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1], [18, 1]], 1/207360], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 2], [8, 1], [10, 1], [12, 1]], 43/368640], [[[1, 2], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 41/92160], [[[1, 2], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1], [12, 1]], 37/414720], [[[1, 2], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1], [12, 1]], 41/172800], [[[1, 2], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1], [12, 1]], 19/207360], [[[1, 2], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/8640], [[[1, 2], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1], [12, 1]], 13/221184], [[[1, 2], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1], [12, 1]], 61/691200], [[[1, 2], [2, 3], [3, 2], [4, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 13/2211840], [[[1, 2], [2, 3], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 1/5760], [[[1, 2], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 97/921600], [[[1, 2], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [12, 1]], 19/2211840], [[[1, 2], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1], [12, 1]], 1/86400], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 637/11059200], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1], [10, 1]], 1/3360], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [9, 1]], 1/207360], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [18, 1]], 13/414720], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [9, 1], [10, 1]], 41/259200], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [9, 1], [12, 1]], 1/207360], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1], [14, 1]], 1/6720], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1], [18, 1]], 1/8100], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [12, 1], [18, 1]], 1/51840], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [6, 2], [8, 1], [10, 1]], 1/8640], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [6, 2], [8, 1], [12, 1]], 13/2211840], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1], [12, 1]], 61/691200], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [8, 1], [10, 1], [12, 1]], 1/5760], [[[1, 3], [2, 2], [3, 1], [4, 1], [6, 1], [7, 1], [8, 1], [12, 1]], 1/4032], [[[1, 3], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1], [9, 1], [10, 1]], 1/51840], [[[1, 3], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1], [9, 1], [12, 1]], 17/110592], [[[1, 3], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1], [18, 1]], 1/207360], [[[1, 3], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1], [14, 1]], 1/8064], [[[1, 3], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1], [18, 1]], 7/55296], [[[1, 3], [2, 2], [3, 1], [4, 1], [6, 1], [9, 1], [10, 1], [12, 1]], 7/622080], [[[1, 3], [2, 2], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1], [18, 1]], 1/155520], [[[1, 3], [2, 2], [3, 1], [4, 1], [6, 2], [8, 1], [10, 1], [12, 1]], 13/221184], [[[1, 3], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 41/92160], [[[1, 3], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1], [12, 1]], 19/207360], [[[1, 3], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1], [12, 1]], 41/172800], [[[1, 3], [2, 2], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1], [12, 1]], 37/414720], [[[1, 3], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/9216], [[[1, 3], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1], [12, 1]], 43/368640], [[[1, 3], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1], [12, 1]], 161/1382400], [[[1, 3], [2, 2], [3, 2], [4, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 1/276480], [[[1, 3], [2, 2], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 1/7680], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 323/460800], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [12, 1]], 11/122880], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1], [12, 1]], 1/4800], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 149/1105920], [[[1, 4], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1], [10, 1]], 1/6720], [[[1, 4], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [18, 1]], 1/69120], [[[1, 4], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1], [9, 1], [10, 1]], 1/25920], [[[1, 4], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1], [18, 1]], 1/259200], [[[1, 4], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1], [12, 1], [18, 1]], 1/124416], [[[1, 4], [2, 1], [3, 1], [4, 1], [5, 1], [6, 2], [8, 1], [10, 1]], 1/138240], [[[1, 4], [2, 1], [3, 1], [4, 1], [5, 1], [6, 2], [8, 1], [12, 1]], 1/368640], [[[1, 4], [2, 1], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1], [12, 1]], 1/1382400], [[[1, 4], [2, 1], [3, 1], [4, 1], [5, 1], [8, 1], [10, 1], [12, 1]], 1/23040], [[[1, 4], [2, 1], [3, 1], [4, 1], [6, 1], [7, 1], [8, 1], [12, 1]], 1/8064], [[[1, 4], [2, 1], [3, 1], [4, 1], [6, 1], [8, 1], [9, 1], [10, 1]], 1/829440], [[[1, 4], [2, 1], [3, 1], [4, 1], [6, 1], [8, 1], [9, 1], [12, 1]], 67/1990656], [[[1, 4], [2, 1], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1], [18, 1]], 7/995328], [[[1, 4], [2, 1], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1], [18, 1]], 1/622080], [[[1, 4], [2, 1], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 1/30720], [[[1, 4], [2, 1], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1], [12, 1]], 1/414720], [[[1, 4], [2, 1], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1], [12, 1]], 1/518400], [[[1, 4], [2, 1], [3, 2], [4, 1], [5, 1], [6, 1], [8, 1], [12, 1]], 1/17280], [[[1, 4], [2, 1], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1], [12, 1]], 1/34560], [[[1, 4], [2, 1], [3, 2], [4, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 1/4423680], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 323/460800], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [12, 1]], 149/1105920], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1], [12, 1]], 1/4800], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 11/122880], [[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 97/921600], [[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [12, 1]], 637/11059200], [[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1], [12, 1]], 1/86400], [[[1, 5], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 19/2211840], [[[1, 6], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/921600], [[[1, 6], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [12, 1]], 47/11059200], [[[1, 6], [2, 1], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 1/2211840] ]}