{[ [[[1, 23]], 1/20639121408000], [[[2, 23]], 1/20639121408000], [[[1, 1], [2, 22]], 7/2293235712000], [[[1, 2], [2, 21]], 571/6879707136000], [[[1, 3], [2, 20]], 8797/6879707136000], [[[1, 4], [2, 19]], 254737/20639121408000], [[[1, 5], [2, 18]], 537509/6879707136000], [[[1, 6], [2, 17]], 2277811/6879707136000], [[[1, 7], [2, 16]], 433771/458647142400], [[[1, 7], [3, 8]], 101/25194240], [[[1, 8], [2, 15]], 11651/6370099200], [[[1, 9], [2, 14]], 5963/2388787200], [[[1, 9], [3, 7]], 941/100776960], [[[1, 10], [2, 13]], 10963/3822059520], [[[1, 11], [2, 12]], 31927/9555148800], [[[1, 11], [3, 6]], 5837/1612431360], [[[1, 11], [5, 3]], 1/6912000], [[[1, 12], [2, 11]], 31927/9555148800], [[[1, 13], [2, 10]], 10963/3822059520], [[[1, 13], [3, 5]], 1051/806215680], [[[1, 14], [2, 9]], 5963/2388787200], [[[1, 15], [2, 8]], 11651/6370099200], [[[1, 15], [3, 4]], 13751/64497254400], [[[1, 15], [5, 2]], 1/331776000], [[[1, 16], [2, 7]], 433771/458647142400], [[[1, 17], [2, 6]], 2277811/6879707136000], [[[1, 17], [3, 3]], 941/64497254400], [[[1, 18], [2, 5]], 537509/6879707136000], [[[1, 19], [2, 4]], 254737/20639121408000], [[[1, 19], [3, 2]], 1247/2579890176000], [[[1, 19], [4, 2]], 1/1719926784000], [[[1, 19], [5, 1]], 1/47775744000], [[[1, 20], [2, 3]], 8797/6879707136000], [[[1, 21], [2, 2]], 571/6879707136000], [[[1, 21], [3, 1]], 1/128994508800], [[[1, 22], [2, 1]], 7/2293235712000], [[[2, 7], [6, 8]], 101/25194240], [[[2, 9], [6, 7]], 941/100776960], [[[2, 11], [6, 6]], 5837/1612431360], [[[2, 11], [10, 3]], 1/6912000], [[[2, 13], [6, 5]], 1051/806215680], [[[2, 15], [6, 4]], 13751/64497254400], [[[2, 15], [10, 2]], 1/331776000], [[[2, 17], [6, 3]], 941/64497254400], [[[2, 19], [4, 2]], 1/1719926784000], [[[2, 19], [6, 2]], 1247/2579890176000], [[[2, 19], [10, 1]], 1/47775744000], [[[2, 21], [6, 1]], 1/128994508800], [[[1, 1], [2, 8], [6, 7]], 37/1244160], [[[1, 1], [2, 10], [6, 6]], 2353/89579520], [[[1, 1], [2, 10], [10, 3]], 1/384000], [[[1, 1], [2, 12], [6, 5]], 109/7464960], [[[1, 1], [2, 14], [6, 4]], 1913/477757440], [[[1, 1], [2, 14], [10, 2]], 11/110592000], [[[1, 1], [2, 16], [4, 3]], 23/143327232000], [[[1, 1], [2, 16], [6, 3]], 1507/3583180800], [[[1, 1], [2, 18], [4, 2]], 17/573308928000], [[[1, 1], [2, 18], [6, 2]], 23/1194393600], [[[1, 1], [2, 18], [10, 1]], 1/995328000], [[[1, 1], [2, 20], [4, 1]], 29/1719926784000], [[[1, 1], [2, 20], [6, 1]], 19/47775744000], [[[1, 2], [2, 7], [6, 7]], 131/67184640], [[[1, 2], [2, 9], [6, 6]], 27707/537477120], [[[1, 2], [2, 9], [10, 3]], 31/2304000], [[[1, 2], [2, 11], [6, 5]], 1015/17915904], [[[1, 2], [2, 13], [4, 4]], 1/66355200], [[[1, 2], [2, 13], [6, 4]], 14737/537477120], [[[1, 2], [2, 13], [10, 2]], 17/13824000], [[[1, 2], [2, 15], [4, 3]], 19/3185049600], [[[1, 2], [2, 15], [6, 3]], 19951/4299816960], [[[1, 2], [2, 17], [4, 2]], 1633/573308928000], [[[1, 2], [2, 17], [6, 2]], 887/2866544640], [[[1, 2], [2, 17], [10, 1]], 79/3981312000], [[[1, 2], [2, 19], [3, 1]], 1/644972544000], [[[1, 2], [2, 19], [4, 1]], 479/573308928000], [[[1, 2], [2, 19], [6, 1]], 23/2687385600], [[[1, 3], [2, 6], [6, 7]], 1/3359232], [[[1, 3], [2, 8], [6, 6]], 2177/134369280], [[[1, 3], [2, 8], [10, 3]], 13/576000], [[[1, 3], [2, 10], [4, 5]], 41/17694720], [[[1, 3], [2, 10], [6, 5]], 3841/44789760], [[[1, 3], [2, 12], [4, 4]], 47/132710400], [[[1, 3], [2, 12], [6, 4]], 9365/107495424], [[[1, 3], [2, 12], [10, 2]], 11/1536000], [[[1, 3], [2, 14], [4, 3]], 233/1061683200], [[[1, 3], [2, 14], [6, 3]], 34187/1343692800], [[[1, 3], [2, 16], [4, 2]], 3349/38220595200], [[[1, 3], [2, 16], [6, 2]], 37369/14332723200], [[[1, 3], [2, 16], [10, 1]], 833/3981312000], [[[1, 3], [2, 18], [3, 1]], 17/214990848000], [[[1, 3], [2, 18], [4, 1]], 137/7962624000], [[[1, 3], [2, 18], [6, 1]], 10853/107495424000], [[[1, 3], [3, 4], [9, 2]], 1/7776], [[[1, 4], [2, 5], [6, 7]], 1/40310784], [[[1, 4], [2, 7], [4, 6]], 5/196608], [[[1, 4], [2, 7], [6, 6]], 1015/322486272], [[[1, 4], [2, 7], [10, 3]], 127/6912000], [[[1, 4], [2, 9], [4, 5]], 397/17694720], [[[1, 4], [2, 9], [6, 5]], 10823/268738560], [[[1, 4], [2, 11], [4, 4]], 1351/106168320], [[[1, 4], [2, 11], [6, 4]], 845791/6449725440], [[[1, 4], [2, 11], [10, 2]], 3461/165888000], [[[1, 4], [2, 13], [4, 3]], 2359/637009920], [[[1, 4], [2, 13], [6, 3]], 2418949/32248627200], [[[1, 4], [2, 15], [4, 2]], 2519/2123366400], [[[1, 4], [2, 15], [6, 2]], 2170633/171992678400], [[[1, 4], [2, 15], [10, 1]], 61417/47775744000], [[[1, 4], [2, 17], [3, 1]], 361/214990848000], [[[1, 4], [2, 17], [4, 1]], 27503/143327232000], [[[1, 4], [2, 17], [6, 1]], 463459/644972544000], [[[1, 5], [2, 4], [3, 7]], 1/40310784], [[[1, 5], [2, 6], [3, 6]], 1/107495424], [[[1, 5], [2, 6], [4, 6]], 5/65536], [[[1, 5], [2, 6], [5, 3]], 1/2304000], [[[1, 5], [2, 6], [6, 6]], 19/53747712], [[[1, 5], [2, 6], [10, 3]], 7/1152000], [[[1, 5], [2, 8], [4, 5]], 3071/17694720], [[[1, 5], [2, 8], [6, 5]], 1/69984], [[[1, 5], [2, 10], [4, 4]], 3971/35389440], [[[1, 5], [2, 10], [6, 4]], 12643/143327232], [[[1, 5], [2, 10], [10, 2]], 1727/55296000], [[[1, 5], [2, 12], [4, 3]], 6827/212336640], [[[1, 5], [2, 12], [6, 3]], 25741/214990848], [[[1, 5], [2, 14], [4, 2]], 52847/6370099200], [[[1, 5], [2, 14], [6, 2]], 64961/1791590400], [[[1, 5], [2, 14], [10, 1]], 263/55296000], [[[1, 5], [2, 16], [3, 1]], 277/14332723200], [[[1, 5], [2, 16], [4, 1]], 2188373/1719926784000], [[[1, 5], [2, 16], [6, 1]], 92149/28665446400], [[[1, 5], [3, 3], [9, 2]], 17/62208], [[[1, 5], [3, 6], [9, 1]], 1/7776], [[[1, 5], [3, 7], [4, 2]], 1/3359232], [[[1, 6], [2, 3], [3, 7]], 1/3359232], [[[1, 6], [2, 5], [3, 6]], 19/53747712], [[[1, 6], [2, 5], [4, 6]], 5/65536], [[[1, 6], [2, 5], [5, 3]], 7/1152000], [[[1, 6], [2, 5], [6, 6]], 1/107495424], [[[1, 6], [2, 5], [10, 3]], 1/2304000], [[[1, 6], [2, 7], [3, 5]], 1/8957952], [[[1, 6], [2, 7], [4, 5]], 533/1179648], [[[1, 6], [2, 7], [6, 5]], 41/17915904], [[[1, 6], [2, 9], [3, 4]], 1/95551488], [[[1, 6], [2, 9], [4, 4]], 14917/35389440], [[[1, 6], [2, 9], [5, 2]], 1/7372800], [[[1, 6], [2, 9], [6, 4]], 809/22394880], [[[1, 6], [2, 9], [10, 2]], 181/6912000], [[[1, 6], [2, 11], [4, 3]], 32819/212336640], [[[1, 6], [2, 11], [6, 3]], 44119/429981696], [[[1, 6], [2, 13], [4, 2]], 71369/2123366400], [[[1, 6], [2, 13], [6, 2]], 222401/3583180800], [[[1, 6], [2, 13], [10, 1]], 10651/995328000], [[[1, 6], [2, 15], [3, 1]], 7/53084160], [[[1, 6], [2, 15], [4, 1]], 39881/7644119040], [[[1, 6], [2, 15], [6, 1]], 16439/1791590400], [[[1, 7], [2, 2], [3, 7]], 131/67184640], [[[1, 7], [2, 4], [3, 6]], 1015/322486272], [[[1, 7], [2, 4], [4, 6]], 5/196608], [[[1, 7], [2, 4], [5, 3]], 127/6912000], [[[1, 7], [2, 6], [3, 5]], 41/17915904], [[[1, 7], [2, 6], [4, 5]], 533/1179648], [[[1, 7], [2, 6], [6, 5]], 1/8957952], [[[1, 7], [2, 8], [3, 4]], 19/31850496], [[[1, 7], [2, 8], [4, 4]], 1133/1310720], [[[1, 7], [2, 8], [5, 2]], 17/7372800], [[[1, 7], [2, 8], [6, 4]], 35/4478976], [[[1, 7], [2, 8], [10, 2]], 1/86400], [[[1, 7], [2, 10], [3, 3]], 11/53084160], [[[1, 7], [2, 10], [4, 3]], 274033/637009920], [[[1, 7], [2, 10], [6, 3]], 2339/44789760], [[[1, 7], [2, 12], [3, 2]], 79/3822059520], [[[1, 7], [2, 12], [4, 2]], 582569/6370099200], [[[1, 7], [2, 12], [5, 1]], 79/1061683200], [[[1, 7], [2, 12], [6, 2]], 90893/1433272320], [[[1, 7], [2, 12], [8, 1]], 1/11059200], [[[1, 7], [2, 12], [10, 1]], 5869/398131200], [[[1, 7], [2, 14], [3, 1]], 1313/2388787200], [[[1, 7], [2, 14], [4, 1]], 11563/849346560], [[[1, 7], [2, 14], [6, 1]], 3749/223948800], [[[1, 7], [3, 2], [5, 3]], 1/27000], [[[1, 7], [3, 2], [9, 2]], 1/31104], [[[1, 7], [3, 4], [5, 2]], 1/32400], [[[1, 7], [3, 5], [9, 1]], 17/62208], [[[1, 7], [3, 6], [4, 2]], 25/26873856], [[[1, 7], [3, 6], [5, 1]], 1/116640], [[[1, 7], [3, 6], [6, 2]], 1/311040], [[[1, 7], [3, 6], [12, 1]], 1/51840], [[[1, 7], [4, 2], [5, 3]], 1/576000], [[[1, 8], [2, 1], [3, 7]], 37/1244160], [[[1, 8], [2, 3], [3, 6]], 2177/134369280], [[[1, 8], [2, 3], [5, 3]], 13/576000], [[[1, 8], [2, 5], [3, 5]], 1/69984], [[[1, 8], [2, 5], [4, 5]], 3071/17694720], [[[1, 8], [2, 7], [3, 4]], 35/4478976], [[[1, 8], [2, 7], [4, 4]], 1133/1310720], [[[1, 8], [2, 7], [5, 2]], 1/86400], [[[1, 8], [2, 7], [6, 4]], 19/31850496], [[[1, 8], [2, 7], [10, 2]], 17/7372800], [[[1, 8], [2, 9], [3, 3]], 617/238878720], [[[1, 8], [2, 9], [4, 3]], 458833/637009920], [[[1, 8], [2, 9], [6, 3]], 2389/159252480], [[[1, 8], [2, 11], [3, 2]], 3983/4777574400], [[[1, 8], [2, 11], [4, 2]], 406001/2123366400], [[[1, 8], [2, 11], [5, 1]], 89/88473600], [[[1, 8], [2, 11], [6, 2]], 51941/1274019840], [[[1, 8], [2, 11], [8, 1]], 31/33177600], [[[1, 8], [2, 11], [10, 1]], 13631/1061683200], [[[1, 8], [2, 13], [3, 1]], 14513/9555148800], [[[1, 8], [2, 13], [4, 1]], 942899/38220595200], [[[1, 8], [2, 13], [6, 1]], 1309/66355200], [[[1, 9], [2, 2], [3, 6]], 27707/537477120], [[[1, 9], [2, 2], [5, 3]], 31/2304000], [[[1, 9], [2, 4], [3, 5]], 10823/268738560], [[[1, 9], [2, 4], [4, 5]], 397/17694720], [[[1, 9], [2, 6], [3, 4]], 809/22394880], [[[1, 9], [2, 6], [4, 4]], 14917/35389440], [[[1, 9], [2, 6], [5, 2]], 181/6912000], [[[1, 9], [2, 6], [6, 4]], 1/95551488], [[[1, 9], [2, 6], [10, 2]], 1/7372800], [[[1, 9], [2, 8], [3, 3]], 2389/159252480], [[[1, 9], [2, 8], [4, 3]], 458833/637009920], [[[1, 9], [2, 8], [6, 3]], 617/238878720], [[[1, 9], [2, 10], [3, 2]], 679/106168320], [[[1, 9], [2, 10], [4, 2]], 372229/1274019840], [[[1, 9], [2, 10], [5, 1]], 77/17694720], [[[1, 9], [2, 10], [6, 2]], 4381/238878720], [[[1, 9], [2, 10], [8, 1]], 139/49766400], [[[1, 9], [2, 10], [10, 1]], 533/66355200], [[[1, 9], [2, 12], [3, 1]], 17417/4777574400], [[[1, 9], [2, 12], [4, 1]], 18079/471859200], [[[1, 9], [2, 12], [6, 1]], 52669/3185049600], [[[1, 9], [3, 1], [5, 3]], 1/172800], [[[1, 9], [3, 3], [5, 2]], 37/1036800], [[[1, 9], [3, 4], [9, 1]], 1/31104], [[[1, 9], [3, 5], [4, 2]], 23/22394880], [[[1, 9], [3, 5], [5, 1]], 23/1244160], [[[1, 9], [3, 5], [6, 2]], 1/2488320], [[[1, 9], [3, 5], [12, 1]], 1/414720], [[[1, 10], [2, 1], [3, 6]], 2353/89579520], [[[1, 10], [2, 1], [5, 3]], 1/384000], [[[1, 10], [2, 3], [3, 5]], 3841/44789760], [[[1, 10], [2, 3], [4, 5]], 41/17694720], [[[1, 10], [2, 5], [3, 4]], 12643/143327232], [[[1, 10], [2, 5], [4, 4]], 3971/35389440], [[[1, 10], [2, 5], [5, 2]], 1727/55296000], [[[1, 10], [2, 7], [3, 3]], 2339/44789760], [[[1, 10], [2, 7], [4, 3]], 274033/637009920], [[[1, 10], [2, 7], [6, 3]], 11/53084160], [[[1, 10], [2, 9], [3, 2]], 4381/238878720], [[[1, 10], [2, 9], [4, 2]], 372229/1274019840], [[[1, 10], [2, 9], [5, 1]], 533/66355200], [[[1, 10], [2, 9], [6, 2]], 679/106168320], [[[1, 10], [2, 9], [8, 1]], 139/49766400], [[[1, 10], [2, 9], [10, 1]], 77/17694720], [[[1, 10], [2, 11], [3, 1]], 38897/4777574400], [[[1, 10], [2, 11], [4, 1]], 683849/12740198400], [[[1, 10], [2, 11], [6, 1]], 59521/4777574400], [[[1, 11], [2, 2], [3, 5]], 1015/17915904], [[[1, 11], [2, 4], [3, 4]], 845791/6449725440], [[[1, 11], [2, 4], [4, 4]], 1351/106168320], [[[1, 11], [2, 4], [5, 2]], 3461/165888000], [[[1, 11], [2, 6], [3, 3]], 44119/429981696], [[[1, 11], [2, 6], [4, 3]], 32819/212336640], [[[1, 11], [2, 8], [3, 2]], 51941/1274019840], [[[1, 11], [2, 8], [4, 2]], 406001/2123366400], [[[1, 11], [2, 8], [5, 1]], 13631/1061683200], [[[1, 11], [2, 8], [6, 2]], 3983/4777574400], [[[1, 11], [2, 8], [8, 1]], 31/33177600], [[[1, 11], [2, 8], [10, 1]], 89/88473600], [[[1, 11], [2, 10], [3, 1]], 59521/4777574400], [[[1, 11], [2, 10], [4, 1]], 683849/12740198400], [[[1, 11], [2, 10], [6, 1]], 38897/4777574400], [[[1, 11], [3, 2], [5, 2]], 79/13824000], [[[1, 11], [3, 4], [4, 2]], 491/1074954240], [[[1, 11], [3, 4], [5, 1]], 583/49766400], [[[1, 11], [4, 2], [5, 2]], 1/27648000], [[[1, 12], [2, 1], [3, 5]], 109/7464960], [[[1, 12], [2, 3], [3, 4]], 9365/107495424], [[[1, 12], [2, 3], [4, 4]], 47/132710400], [[[1, 12], [2, 3], [5, 2]], 11/1536000], [[[1, 12], [2, 5], [3, 3]], 25741/214990848], [[[1, 12], [2, 5], [4, 3]], 6827/212336640], [[[1, 12], [2, 7], [3, 2]], 90893/1433272320], [[[1, 12], [2, 7], [4, 2]], 582569/6370099200], [[[1, 12], [2, 7], [5, 1]], 5869/398131200], [[[1, 12], [2, 7], [6, 2]], 79/3822059520], [[[1, 12], [2, 7], [8, 1]], 1/11059200], [[[1, 12], [2, 7], [10, 1]], 79/1061683200], [[[1, 12], [2, 9], [3, 1]], 52669/3185049600], [[[1, 12], [2, 9], [4, 1]], 18079/471859200], [[[1, 12], [2, 9], [6, 1]], 17417/4777574400], [[[1, 13], [2, 2], [3, 4]], 14737/537477120], [[[1, 13], [2, 2], [4, 4]], 1/66355200], [[[1, 13], [2, 2], [5, 2]], 17/13824000], [[[1, 13], [2, 4], [3, 3]], 2418949/32248627200], [[[1, 13], [2, 4], [4, 3]], 2359/637009920], [[[1, 13], [2, 6], [3, 2]], 222401/3583180800], [[[1, 13], [2, 6], [4, 2]], 71369/2123366400], [[[1, 13], [2, 6], [5, 1]], 10651/995328000], [[[1, 13], [2, 8], [3, 1]], 1309/66355200], [[[1, 13], [2, 8], [4, 1]], 942899/38220595200], [[[1, 13], [2, 8], [6, 1]], 14513/9555148800], [[[1, 13], [3, 1], [5, 2]], 1/4147200], [[[1, 13], [3, 3], [4, 2]], 353/5374771200], [[[1, 13], [3, 3], [5, 1]], 71/37324800], [[[1, 14], [2, 1], [3, 4]], 1913/477757440], [[[1, 14], [2, 1], [5, 2]], 11/110592000], [[[1, 14], [2, 3], [3, 3]], 34187/1343692800], [[[1, 14], [2, 3], [4, 3]], 233/1061683200], [[[1, 14], [2, 5], [3, 2]], 64961/1791590400], [[[1, 14], [2, 5], [4, 2]], 52847/6370099200], [[[1, 14], [2, 5], [5, 1]], 263/55296000], [[[1, 14], [2, 7], [3, 1]], 3749/223948800], [[[1, 14], [2, 7], [4, 1]], 11563/849346560], [[[1, 14], [2, 7], [6, 1]], 1313/2388787200], [[[1, 15], [2, 2], [3, 3]], 19951/4299816960], [[[1, 15], [2, 2], [4, 3]], 19/3185049600], [[[1, 15], [2, 4], [3, 2]], 2170633/171992678400], [[[1, 15], [2, 4], [4, 2]], 2519/2123366400], [[[1, 15], [2, 4], [5, 1]], 61417/47775744000], [[[1, 15], [2, 6], [3, 1]], 16439/1791590400], [[[1, 15], [2, 6], [4, 1]], 39881/7644119040], [[[1, 15], [2, 6], [6, 1]], 7/53084160], [[[1, 15], [3, 2], [4, 2]], 49/14332723200], [[[1, 15], [3, 2], [5, 1]], 107/995328000], [[[1, 15], [4, 2], [5, 1]], 1/3981312000], [[[1, 16], [2, 1], [3, 3]], 1507/3583180800], [[[1, 16], [2, 1], [4, 3]], 23/143327232000], [[[1, 16], [2, 3], [3, 2]], 37369/14332723200], [[[1, 16], [2, 3], [4, 2]], 3349/38220595200], [[[1, 16], [2, 3], [5, 1]], 833/3981312000], [[[1, 16], [2, 5], [3, 1]], 92149/28665446400], [[[1, 16], [2, 5], [4, 1]], 2188373/1719926784000], [[[1, 16], [2, 5], [6, 1]], 277/14332723200], [[[1, 17], [2, 2], [3, 2]], 887/2866544640], [[[1, 17], [2, 2], [4, 2]], 1633/573308928000], [[[1, 17], [2, 2], [5, 1]], 79/3981312000], [[[1, 17], [2, 4], [3, 1]], 463459/644972544000], [[[1, 17], [2, 4], [4, 1]], 27503/143327232000], [[[1, 17], [2, 4], [6, 1]], 361/214990848000], [[[1, 17], [3, 1], [4, 2]], 1/13436928000], [[[1, 17], [3, 1], [5, 1]], 1/398131200], [[[1, 18], [2, 1], [3, 2]], 23/1194393600], [[[1, 18], [2, 1], [4, 2]], 17/573308928000], [[[1, 18], [2, 1], [5, 1]], 1/995328000], [[[1, 18], [2, 3], [3, 1]], 10853/107495424000], [[[1, 18], [2, 3], [4, 1]], 137/7962624000], [[[1, 18], [2, 3], [6, 1]], 17/214990848000], [[[1, 19], [2, 2], [3, 1]], 23/2687385600], [[[1, 19], [2, 2], [4, 1]], 479/573308928000], [[[1, 19], [2, 2], [6, 1]], 1/644972544000], [[[1, 20], [2, 1], [3, 1]], 19/47775744000], [[[1, 20], [2, 1], [4, 1]], 29/1719926784000], [[[2, 3], [6, 4], [18, 2]], 1/7776], [[[2, 5], [4, 2], [6, 7]], 1/3359232], [[[2, 5], [6, 3], [18, 2]], 17/62208], [[[2, 5], [6, 6], [18, 1]], 1/7776], [[[2, 7], [3, 2], [6, 6]], 1/311040], [[[2, 7], [4, 2], [6, 6]], 25/26873856], [[[2, 7], [4, 2], [10, 3]], 1/576000], [[[2, 7], [6, 2], [10, 3]], 1/27000], [[[2, 7], [6, 2], [18, 2]], 1/31104], [[[2, 7], [6, 4], [10, 2]], 1/32400], [[[2, 7], [6, 5], [18, 1]], 17/62208], [[[2, 7], [6, 6], [10, 1]], 1/116640], [[[2, 7], [6, 6], [12, 1]], 1/51840], [[[2, 9], [3, 2], [6, 5]], 1/2488320], [[[2, 9], [4, 2], [6, 5]], 23/22394880], [[[2, 9], [6, 1], [10, 3]], 1/172800], [[[2, 9], [6, 3], [10, 2]], 37/1036800], [[[2, 9], [6, 4], [18, 1]], 1/31104], [[[2, 9], [6, 5], [10, 1]], 23/1244160], [[[2, 9], [6, 5], [12, 1]], 1/414720], [[[2, 11], [4, 2], [6, 4]], 491/1074954240], [[[2, 11], [4, 2], [10, 2]], 1/27648000], [[[2, 11], [6, 2], [10, 2]], 79/13824000], [[[2, 11], [6, 4], [10, 1]], 583/49766400], [[[2, 13], [4, 2], [6, 3]], 353/5374771200], [[[2, 13], [6, 1], [10, 2]], 1/4147200], [[[2, 13], [6, 3], [10, 1]], 71/37324800], [[[2, 15], [4, 2], [6, 2]], 49/14332723200], [[[2, 15], [4, 2], [10, 1]], 1/3981312000], [[[2, 15], [6, 2], [10, 1]], 107/995328000], [[[2, 17], [4, 2], [6, 1]], 1/13436928000], [[[2, 17], [6, 1], [10, 1]], 1/398131200], [[[1, 1], [2, 4], [4, 3], [6, 6]], 1/4478976], [[[1, 1], [2, 4], [4, 3], [10, 3]], 1/96000], [[[1, 1], [2, 4], [6, 3], [18, 2]], 1/1152], [[[1, 1], [2, 6], [3, 1], [6, 7]], 31/559872], [[[1, 1], [2, 6], [3, 3], [6, 5]], 1/20736], [[[1, 1], [2, 6], [4, 1], [6, 7]], 161/33592320], [[[1, 1], [2, 6], [4, 2], [6, 6]], 13/4478976], [[[1, 1], [2, 6], [4, 2], [10, 3]], 1/96000], [[[1, 1], [2, 6], [4, 3], [6, 5]], 1/373248], [[[1, 1], [2, 6], [6, 2], [18, 2]], 1/3456], [[[1, 1], [2, 6], [6, 5], [18, 1]], 1/1152], [[[1, 1], [2, 8], [3, 1], [6, 6]], 1/7290], [[[1, 1], [2, 8], [3, 2], [6, 5]], 1/414720], [[[1, 1], [2, 8], [3, 3], [6, 4]], 1/165888], [[[1, 1], [2, 8], [4, 1], [6, 6]], 4721/268738560], [[[1, 1], [2, 8], [4, 1], [10, 3]], 13/1152000], [[[1, 1], [2, 8], [4, 2], [6, 5]], 5/746496], [[[1, 1], [2, 8], [4, 3], [6, 4]], 37/7464960], [[[1, 1], [2, 8], [4, 3], [10, 2]], 1/288000], [[[1, 1], [2, 8], [6, 1], [10, 3]], 1/24000], [[[1, 1], [2, 8], [6, 3], [10, 2]], 11/86400], [[[1, 1], [2, 8], [6, 4], [18, 1]], 1/3456], [[[1, 1], [2, 8], [6, 5], [10, 1]], 19/311040], [[[1, 1], [2, 8], [6, 5], [12, 1]], 1/69120], [[[1, 1], [2, 10], [3, 1], [6, 5]], 1447/59719680], [[[1, 1], [2, 10], [4, 1], [6, 5]], 439/22394880], [[[1, 1], [2, 10], [4, 2], [6, 4]], 583/119439360], [[[1, 1], [2, 10], [4, 2], [10, 2]], 7/9216000], [[[1, 1], [2, 10], [4, 3], [6, 3]], 257/89579520], [[[1, 1], [2, 10], [6, 2], [10, 2]], 29/460800], [[[1, 1], [2, 10], [6, 4], [10, 1]], 427/4976640], [[[1, 1], [2, 12], [3, 1], [6, 4]], 71/44789760], [[[1, 1], [2, 12], [4, 1], [6, 4]], 5807/537477120], [[[1, 1], [2, 12], [4, 1], [10, 2]], 7/13824000], [[[1, 1], [2, 12], [4, 2], [6, 3]], 211/179159040], [[[1, 1], [2, 12], [4, 3], [6, 2]], 911/2388787200], [[[1, 1], [2, 12], [4, 3], [10, 1]], 31/663552000], [[[1, 1], [2, 12], [6, 1], [10, 2]], 1/192000], [[[1, 1], [2, 12], [6, 3], [10, 1]], 11/388800], [[[1, 1], [2, 14], [3, 1], [6, 3]], 107/1194393600], [[[1, 1], [2, 14], [4, 1], [6, 3]], 8869/5374771200], [[[1, 1], [2, 14], [4, 2], [6, 2]], 23/238878720], [[[1, 1], [2, 14], [4, 2], [10, 1]], 1/110592000], [[[1, 1], [2, 14], [4, 3], [6, 1]], 17/1194393600], [[[1, 1], [2, 14], [6, 2], [10, 1]], 539/199065600], [[[1, 1], [2, 16], [3, 1], [6, 2]], 1/477757440], [[[1, 1], [2, 16], [4, 1], [6, 2]], 2587/28665446400], [[[1, 1], [2, 16], [4, 1], [10, 1]], 43/7962624000], [[[1, 1], [2, 16], [4, 2], [6, 1]], 7/2388787200], [[[1, 1], [2, 16], [6, 1], [10, 1]], 91/995328000], [[[1, 1], [2, 18], [3, 1], [6, 1]], 1/57330892800], [[[1, 1], [2, 18], [4, 1], [6, 1]], 443/214990848000], [[[1, 2], [2, 3], [6, 3], [18, 2]], 1/20736], [[[1, 2], [2, 5], [3, 1], [6, 7]], 1/1259712], [[[1, 2], [2, 5], [3, 2], [6, 6]], 31/186624], [[[1, 2], [2, 5], [3, 3], [6, 5]], 1/7776], [[[1, 2], [2, 5], [3, 4], [6, 4]], 55/186624], [[[1, 2], [2, 5], [4, 2], [6, 6]], 13/8957952], [[[1, 2], [2, 5], [4, 2], [10, 3]], 13/192000], [[[1, 2], [2, 5], [4, 3], [6, 5]], 1/248832], [[[1, 2], [2, 5], [4, 4], [6, 4]], 1/663552], [[[1, 2], [2, 5], [4, 4], [10, 2]], 1/51200], [[[1, 2], [2, 5], [6, 2], [18, 2]], 7/10368], [[[1, 2], [2, 5], [6, 5], [18, 1]], 1/20736], [[[1, 2], [2, 7], [3, 1], [6, 6]], 38833/100776960], [[[1, 2], [2, 7], [3, 1], [10, 3]], 1/216000], [[[1, 2], [2, 7], [3, 2], [6, 5]], 4649/7464960], [[[1, 2], [2, 7], [3, 3], [6, 4]], 19/248832], [[[1, 2], [2, 7], [3, 4], [6, 3]], 13/373248], [[[1, 2], [2, 7], [4, 1], [6, 6]], 959/22394880], [[[1, 2], [2, 7], [4, 1], [10, 3]], 7/96000], [[[1, 2], [2, 7], [4, 2], [6, 5]], 47/1492992], [[[1, 2], [2, 7], [4, 3], [6, 4]], 11/497664], [[[1, 2], [2, 7], [4, 3], [8, 2]], 1/23040], [[[1, 2], [2, 7], [4, 3], [10, 2]], 1/38400], [[[1, 2], [2, 7], [4, 4], [6, 3]], 5/663552], [[[1, 2], [2, 7], [6, 1], [10, 3]], 1/28800], [[[1, 2], [2, 7], [6, 3], [10, 2]], 1/34560], [[[1, 2], [2, 7], [6, 4], [18, 1]], 7/10368], [[[1, 2], [2, 7], [6, 5], [10, 1]], 1/124416], [[[1, 2], [2, 7], [6, 5], [12, 1]], 1/138240], [[[1, 2], [2, 9], [3, 1], [6, 5]], 10643/53747712], [[[1, 2], [2, 9], [3, 2], [6, 4]], 1519/19906560], [[[1, 2], [2, 9], [3, 3], [6, 3]], 1/442368], [[[1, 2], [2, 9], [4, 1], [6, 5]], 305/2985984], [[[1, 2], [2, 9], [4, 2], [6, 4]], 8093/119439360], [[[1, 2], [2, 9], [4, 2], [10, 2]], 253/9216000], [[[1, 2], [2, 9], [4, 3], [6, 3]], 29/1244160], [[[1, 2], [2, 9], [4, 4], [6, 2]], 59/8847360], [[[1, 2], [2, 9], [4, 4], [8, 1]], 1/92160], [[[1, 2], [2, 9], [4, 4], [10, 1]], 17/7372800], [[[1, 2], [2, 9], [6, 2], [10, 2]], 11/61440], [[[1, 2], [2, 9], [6, 4], [10, 1]], 1727/9953280], [[[1, 2], [2, 11], [3, 1], [6, 4]], 1999/80621568], [[[1, 2], [2, 11], [3, 1], [10, 2]], 1/10368000], [[[1, 2], [2, 11], [3, 2], [6, 3]], 1/5971968], [[[1, 2], [2, 11], [4, 1], [6, 4]], 5867/59719680], [[[1, 2], [2, 11], [4, 1], [10, 2]], 47/4608000], [[[1, 2], [2, 11], [4, 2], [6, 3]], 7751/179159040], [[[1, 2], [2, 11], [4, 3], [6, 2]], 463/79626240], [[[1, 2], [2, 11], [4, 3], [10, 1]], 23/22118400], [[[1, 2], [2, 11], [4, 4], [6, 1]], 1/1327104], [[[1, 2], [2, 11], [6, 1], [10, 2]], 17/460800], [[[1, 2], [2, 11], [6, 3], [10, 1]], 341/2488320], [[[1, 2], [2, 13], [3, 1], [6, 3]], 78413/32248627200], [[[1, 2], [2, 13], [3, 2], [6, 2]], 1/477757440], [[[1, 2], [2, 13], [4, 1], [6, 3]], 2453/89579520], [[[1, 2], [2, 13], [4, 2], [6, 2]], 28073/4777574400], [[[1, 2], [2, 13], [4, 2], [10, 1]], 793/1327104000], [[[1, 2], [2, 13], [4, 3], [6, 1]], 73/199065600], [[[1, 2], [2, 13], [6, 2], [10, 1]], 61/2488320], [[[1, 2], [2, 15], [3, 1], [6, 2]], 917/10749542400], [[[1, 2], [2, 15], [3, 1], [10, 1]], 1/1492992000], [[[1, 2], [2, 15], [4, 1], [6, 2]], 11569/4777574400], [[[1, 2], [2, 15], [4, 1], [10, 1]], 83/442368000], [[[1, 2], [2, 15], [4, 2], [6, 1]], 7/29859840], [[[1, 2], [2, 15], [6, 1], [10, 1]], 517/398131200], [[[1, 2], [2, 17], [3, 1], [6, 1]], 167/161243136000], [[[1, 2], [2, 17], [4, 1], [6, 1]], 187/2388787200], [[[1, 3], [2, 2], [3, 3], [9, 2]], 1/20736], [[[1, 3], [2, 4], [3, 2], [6, 6]], 1/139968], [[[1, 3], [2, 4], [3, 3], [6, 5]], 13/186624], [[[1, 3], [2, 4], [3, 4], [6, 4]], 1/23328], [[[1, 3], [2, 4], [3, 5], [6, 3]], 7/62208], [[[1, 3], [2, 4], [4, 4], [6, 4]], 1/663552], [[[1, 3], [2, 4], [4, 4], [8, 2]], 1/2048], [[[1, 3], [2, 4], [4, 4], [10, 2]], 1/51200], [[[1, 3], [2, 4], [6, 2], [18, 2]], 1/3456], [[[1, 3], [2, 6], [3, 1], [6, 6]], 437/13436928], [[[1, 3], [2, 6], [3, 1], [10, 3]], 1/36000], [[[1, 3], [2, 6], [3, 2], [6, 5]], 2635/2239488], [[[1, 3], [2, 6], [3, 3], [6, 4]], 1793/1492992], [[[1, 3], [2, 6], [3, 4], [6, 3]], 173/746496], [[[1, 3], [2, 6], [3, 5], [6, 2]], 1/82944], [[[1, 3], [2, 6], [4, 1], [6, 6]], 1/995328], [[[1, 3], [2, 6], [4, 1], [10, 3]], 3/64000], [[[1, 3], [2, 6], [4, 2], [6, 5]], 11/373248], [[[1, 3], [2, 6], [4, 3], [6, 4]], 5/165888], [[[1, 3], [2, 6], [4, 3], [8, 2]], 1/3072], [[[1, 3], [2, 6], [4, 3], [10, 2]], 1/6400], [[[1, 3], [2, 6], [4, 4], [6, 3]], 7/331776], [[[1, 3], [2, 6], [4, 5], [6, 2]], 7/884736], [[[1, 3], [2, 6], [4, 5], [8, 1]], 1/8192], [[[1, 3], [2, 6], [4, 5], [10, 1]], 7/245760], [[[1, 3], [2, 6], [6, 1], [10, 3]], 1/72000], [[[1, 3], [2, 6], [6, 3], [10, 2]], 1/86400], [[[1, 3], [2, 6], [6, 4], [18, 1]], 1/3456], [[[1, 3], [2, 6], [6, 5], [10, 1]], 1/311040], [[[1, 3], [2, 8], [3, 1], [6, 5]], 15325/35831808], [[[1, 3], [2, 8], [3, 2], [4, 4]], 1/1327104], [[[1, 3], [2, 8], [3, 2], [6, 4]], 54427/89579520], [[[1, 3], [2, 8], [3, 3], [6, 3]], 1771/11943936], [[[1, 3], [2, 8], [3, 4], [6, 2]], 11/11943936], [[[1, 3], [2, 8], [4, 1], [6, 5]], 11/82944], [[[1, 3], [2, 8], [4, 2], [6, 4]], 5117/23887872], [[[1, 3], [2, 8], [4, 2], [8, 2]], 19/368640], [[[1, 3], [2, 8], [4, 2], [10, 2]], 349/1843200], [[[1, 3], [2, 8], [4, 3], [6, 3]], 19/165888], [[[1, 3], [2, 8], [4, 4], [5, 1]], 1/368640], [[[1, 3], [2, 8], [4, 4], [6, 2]], 43/1105920], [[[1, 3], [2, 8], [4, 4], [8, 1]], 61/552960], [[[1, 3], [2, 8], [4, 4], [10, 1]], 19/921600], [[[1, 3], [2, 8], [4, 5], [6, 1]], 11/442368], [[[1, 3], [2, 8], [5, 2], [10, 1]], 1/115200], [[[1, 3], [2, 8], [6, 2], [10, 2]], 89/691200], [[[1, 3], [2, 8], [6, 4], [10, 1]], 11/165888], [[[1, 3], [2, 10], [3, 1], [6, 4]], 2849/22394880], [[[1, 3], [2, 10], [3, 1], [10, 2]], 7/3456000], [[[1, 3], [2, 10], [3, 2], [6, 3]], 11/2239488], [[[1, 3], [2, 10], [4, 1], [6, 4]], 661/2211840], [[[1, 3], [2, 10], [4, 1], [10, 2]], 33/512000], [[[1, 3], [2, 10], [4, 2], [6, 3]], 16433/59719680], [[[1, 3], [2, 10], [4, 3], [6, 2]], 131/1474560], [[[1, 3], [2, 10], [4, 3], [8, 1]], 73/4423680], [[[1, 3], [2, 10], [4, 3], [10, 1]], 83/3686400], [[[1, 3], [2, 10], [4, 4], [6, 1]], 127/13271040], [[[1, 3], [2, 10], [6, 1], [10, 2]], 361/3456000], [[[1, 3], [2, 10], [6, 3], [10, 1]], 1621/6220800], [[[1, 3], [2, 12], [3, 1], [6, 3]], 3167/134369280], [[[1, 3], [2, 12], [3, 2], [6, 2]], 847/7166361600], [[[1, 3], [2, 12], [4, 1], [6, 3]], 3179/19906560], [[[1, 3], [2, 12], [4, 2], [6, 2]], 18061/238878720], [[[1, 3], [2, 12], [4, 2], [10, 1]], 737/66355200], [[[1, 3], [2, 12], [4, 3], [6, 1]], 131/13271040], [[[1, 3], [2, 12], [6, 2], [10, 1]], 2527/24883200], [[[1, 3], [2, 14], [3, 1], [6, 2]], 1919/1433272320], [[[1, 3], [2, 14], [3, 1], [10, 1]], 1/41472000], [[[1, 3], [2, 14], [3, 2], [6, 1]], 1/1791590400], [[[1, 3], [2, 14], [4, 1], [6, 2]], 25697/1061683200], [[[1, 3], [2, 14], [4, 1], [10, 1]], 737/294912000], [[[1, 3], [2, 14], [4, 2], [6, 1]], 12109/2388787200], [[[1, 3], [2, 14], [6, 1], [10, 1]], 383/41472000], [[[1, 3], [2, 16], [3, 1], [4, 1]], 23/53747712000], [[[1, 3], [2, 16], [3, 1], [6, 1]], 349/14332723200], [[[1, 3], [2, 16], [4, 1], [6, 1]], 209/176947200], [[[1, 3], [3, 2], [6, 2], [9, 2]], 1/7776], [[[1, 3], [3, 2], [9, 2], [12, 1]], 1/1296], [[[1, 3], [3, 4], [5, 1], [15, 1]], 1/2160], [[[1, 4], [2, 1], [3, 3], [9, 2]], 1/1152], [[[1, 4], [2, 1], [3, 6], [4, 3]], 1/4478976], [[[1, 4], [2, 1], [4, 3], [5, 3]], 1/96000], [[[1, 4], [2, 3], [3, 2], [9, 2]], 1/3456], [[[1, 4], [2, 3], [3, 3], [6, 5]], 7/62208], [[[1, 4], [2, 3], [3, 4], [4, 4]], 1/663552], [[[1, 4], [2, 3], [3, 4], [6, 4]], 1/23328], [[[1, 4], [2, 3], [3, 5], [6, 3]], 13/186624], [[[1, 4], [2, 3], [3, 6], [6, 2]], 1/139968], [[[1, 4], [2, 3], [4, 4], [5, 2]], 1/51200], [[[1, 4], [2, 3], [4, 4], [8, 2]], 1/2048], [[[1, 4], [2, 5], [3, 1], [6, 6]], 5/1679616], [[[1, 4], [2, 5], [3, 1], [10, 3]], 1/72000], [[[1, 4], [2, 5], [3, 2], [4, 5]], 7/884736], [[[1, 4], [2, 5], [3, 2], [6, 5]], 13/82944], [[[1, 4], [2, 5], [3, 3], [6, 4]], 761/746496], [[[1, 4], [2, 5], [3, 4], [6, 3]], 557/746496], [[[1, 4], [2, 5], [3, 5], [6, 2]], 59/746496], [[[1, 4], [2, 5], [3, 6], [4, 1]], 1/53747712], [[[1, 4], [2, 5], [3, 6], [6, 1]], 1/4478976], [[[1, 4], [2, 5], [4, 1], [5, 3]], 1/1152000], [[[1, 4], [2, 5], [4, 1], [6, 6]], 1/4478976], [[[1, 4], [2, 5], [4, 1], [10, 3]], 1/96000], [[[1, 4], [2, 5], [4, 3], [6, 4]], 5/497664], [[[1, 4], [2, 5], [4, 3], [8, 2]], 7/6144], [[[1, 4], [2, 5], [4, 3], [10, 2]], 1/7680], [[[1, 4], [2, 5], [4, 4], [6, 3]], 17/663552], [[[1, 4], [2, 5], [4, 5], [5, 1]], 7/245760], [[[1, 4], [2, 5], [4, 5], [6, 2]], 7/442368], [[[1, 4], [2, 5], [4, 5], [8, 1]], 11/24576], [[[1, 4], [2, 5], [4, 5], [10, 1]], 7/122880], [[[1, 4], [2, 5], [6, 1], [10, 3]], 1/864000], [[[1, 4], [2, 5], [6, 3], [10, 2]], 1/1036800], [[[1, 4], [2, 5], [6, 5], [10, 1]], 1/3732480], [[[1, 4], [2, 7], [3, 1], [6, 5]], 8803/44789760], [[[1, 4], [2, 7], [3, 2], [4, 4]], 1/165888], [[[1, 4], [2, 7], [3, 2], [6, 4]], 5287/3981312], [[[1, 4], [2, 7], [3, 3], [4, 3]], 1/497664], [[[1, 4], [2, 7], [3, 3], [6, 3]], 67061/59719680], [[[1, 4], [2, 7], [3, 4], [4, 2]], 1/7962624], [[[1, 4], [2, 7], [3, 4], [6, 2]], 1997/29859840], [[[1, 4], [2, 7], [3, 5], [6, 1]], 1/11943936], [[[1, 4], [2, 7], [4, 1], [6, 5]], 29/1492992], [[[1, 4], [2, 7], [4, 2], [5, 2]], 1/614400], [[[1, 4], [2, 7], [4, 2], [6, 4]], 457/2654208], [[[1, 4], [2, 7], [4, 2], [8, 2]], 151/368640], [[[1, 4], [2, 7], [4, 2], [10, 2]], 179/614400], [[[1, 4], [2, 7], [4, 3], [6, 3]], 97/497664], [[[1, 4], [2, 7], [4, 4], [5, 1]], 1/46080], [[[1, 4], [2, 7], [4, 4], [6, 2]], 17/110592], [[[1, 4], [2, 7], [4, 4], [8, 1]], 17/30720], [[[1, 4], [2, 7], [4, 4], [10, 1]], 17/92160], [[[1, 4], [2, 7], [4, 5], [6, 1]], 5/55296], [[[1, 4], [2, 7], [5, 1], [10, 2]], 1/38400], [[[1, 4], [2, 7], [5, 2], [10, 1]], 1/9600], [[[1, 4], [2, 7], [6, 2], [10, 2]], 47/921600], [[[1, 4], [2, 7], [6, 4], [10, 1]], 719/29859840], [[[1, 4], [2, 9], [3, 1], [4, 4]], 1/138240], [[[1, 4], [2, 9], [3, 1], [6, 4]], 2963/11197440], [[[1, 4], [2, 9], [3, 1], [10, 2]], 23/1728000], [[[1, 4], [2, 9], [3, 2], [4, 3]], 89/31850496], [[[1, 4], [2, 9], [3, 2], [6, 3]], 283/3317760], [[[1, 4], [2, 9], [3, 3], [6, 2]], 1/46080], [[[1, 4], [2, 9], [4, 1], [6, 4]], 6677/19906560], [[[1, 4], [2, 9], [4, 1], [8, 2]], 1/122880], [[[1, 4], [2, 9], [4, 1], [10, 2]], 79/512000], [[[1, 4], [2, 9], [4, 2], [6, 3]], 401/663552], [[[1, 4], [2, 9], [4, 3], [5, 1]], 89/8847360], [[[1, 4], [2, 9], [4, 3], [6, 2]], 2003/5308416], [[[1, 4], [2, 9], [4, 3], [8, 1]], 59/294912], [[[1, 4], [2, 9], [4, 3], [10, 1]], 713/4423680], [[[1, 4], [2, 9], [4, 4], [6, 1]], 361/2211840], [[[1, 4], [2, 9], [6, 1], [10, 2]], 841/6912000], [[[1, 4], [2, 9], [6, 3], [10, 1]], 6673/37324800], [[[1, 4], [2, 11], [3, 1], [6, 3]], 28217/268738560], [[[1, 4], [2, 11], [3, 2], [6, 2]], 79/17694720], [[[1, 4], [2, 11], [4, 1], [6, 3]], 4669/11197440], [[[1, 4], [2, 11], [4, 2], [6, 2]], 1261/3538944], [[[1, 4], [2, 11], [4, 2], [8, 1]], 7/1105920], [[[1, 4], [2, 11], [4, 2], [10, 1]], 3409/44236800], [[[1, 4], [2, 11], [4, 3], [6, 1]], 95/995328], [[[1, 4], [2, 11], [5, 1], [10, 1]], 1/921600], [[[1, 4], [2, 11], [6, 2], [10, 1]], 60589/298598400], [[[1, 4], [2, 13], [3, 1], [4, 2]], 1/24883200], [[[1, 4], [2, 13], [3, 1], [6, 2]], 9337/895795200], [[[1, 4], [2, 13], [3, 1], [10, 1]], 83/248832000], [[[1, 4], [2, 13], [3, 2], [6, 1]], 1/49766400], [[[1, 4], [2, 13], [4, 1], [6, 2]], 69799/597196800], [[[1, 4], [2, 13], [4, 1], [10, 1]], 2699/165888000], [[[1, 4], [2, 13], [4, 2], [6, 1]], 583/13271040], [[[1, 4], [2, 13], [6, 1], [10, 1]], 106183/2985984000], [[[1, 4], [2, 15], [3, 1], [4, 1]], 19/1194393600], [[[1, 4], [2, 15], [3, 1], [6, 1]], 4259/14332723200], [[[1, 4], [2, 15], [4, 1], [6, 1]], 3649/398131200], [[[1, 5], [2, 2], [3, 2], [9, 2]], 7/10368], [[[1, 5], [2, 2], [3, 4], [4, 4]], 1/663552], [[[1, 5], [2, 2], [3, 4], [6, 4]], 55/186624], [[[1, 5], [2, 2], [3, 5], [4, 3]], 1/248832], [[[1, 5], [2, 2], [3, 5], [6, 3]], 1/7776], [[[1, 5], [2, 2], [3, 5], [9, 1]], 1/20736], [[[1, 5], [2, 2], [3, 6], [4, 2]], 13/8957952], [[[1, 5], [2, 2], [3, 6], [6, 2]], 31/186624], [[[1, 5], [2, 2], [3, 7], [6, 1]], 1/1259712], [[[1, 5], [2, 2], [4, 2], [5, 3]], 13/192000], [[[1, 5], [2, 2], [4, 4], [5, 2]], 1/51200], [[[1, 5], [2, 4], [3, 1], [5, 3]], 1/864000], [[[1, 5], [2, 4], [3, 1], [6, 6]], 1/4478976], [[[1, 5], [2, 4], [3, 2], [4, 5]], 7/442368], [[[1, 5], [2, 4], [3, 2], [6, 5]], 59/746496], [[[1, 5], [2, 4], [3, 3], [4, 4]], 17/663552], [[[1, 5], [2, 4], [3, 3], [5, 2]], 1/1036800], [[[1, 5], [2, 4], [3, 3], [6, 4]], 557/746496], [[[1, 5], [2, 4], [3, 4], [4, 3]], 5/497664], [[[1, 5], [2, 4], [3, 4], [6, 3]], 761/746496], [[[1, 5], [2, 4], [3, 5], [5, 1]], 1/3732480], [[[1, 5], [2, 4], [3, 5], [6, 2]], 13/82944], [[[1, 5], [2, 4], [3, 6], [4, 1]], 1/4478976], [[[1, 5], [2, 4], [3, 6], [6, 1]], 5/1679616], [[[1, 5], [2, 4], [4, 1], [5, 3]], 1/96000], [[[1, 5], [2, 4], [4, 1], [6, 6]], 1/53747712], [[[1, 5], [2, 4], [4, 1], [10, 3]], 1/1152000], [[[1, 5], [2, 4], [4, 3], [5, 2]], 1/7680], [[[1, 5], [2, 4], [4, 3], [8, 2]], 7/6144], [[[1, 5], [2, 4], [4, 5], [5, 1]], 7/122880], [[[1, 5], [2, 4], [4, 5], [6, 2]], 7/884736], [[[1, 5], [2, 4], [4, 5], [8, 1]], 11/24576], [[[1, 5], [2, 4], [4, 5], [10, 1]], 7/245760], [[[1, 5], [2, 4], [5, 3], [6, 1]], 1/72000], [[[1, 5], [2, 6], [3, 1], [4, 5]], 7/73728], [[[1, 5], [2, 6], [3, 1], [6, 5]], 847/35831808], [[[1, 5], [2, 6], [3, 2], [4, 4]], 89/1769472], [[[1, 5], [2, 6], [3, 2], [5, 2]], 1/2764800], [[[1, 5], [2, 6], [3, 2], [6, 4]], 2671/2985984], [[[1, 5], [2, 6], [3, 3], [4, 3]], 1/82944], [[[1, 5], [2, 6], [3, 3], [6, 3]], 19585/11943936], [[[1, 5], [2, 6], [3, 4], [4, 2]], 13/7962624], [[[1, 5], [2, 6], [3, 4], [5, 1]], 1/9953280], [[[1, 5], [2, 6], [3, 4], [6, 2]], 1885/3981312], [[[1, 5], [2, 6], [3, 5], [4, 1]], 1/2985984], [[[1, 5], [2, 6], [3, 5], [6, 1]], 5/1990656], [[[1, 5], [2, 6], [4, 1], [6, 5]], 19/4478976], [[[1, 5], [2, 6], [4, 2], [5, 2]], 13/614400], [[[1, 5], [2, 6], [4, 2], [6, 4]], 79/7962624], [[[1, 5], [2, 6], [4, 2], [8, 2]], 499/552960], [[[1, 5], [2, 6], [4, 2], [10, 2]], 79/614400], [[[1, 5], [2, 6], [4, 3], [6, 3]], 31/221184], [[[1, 5], [2, 6], [4, 4], [5, 1]], 89/491520], [[[1, 5], [2, 6], [4, 4], [6, 2]], 29/147456], [[[1, 5], [2, 6], [4, 4], [8, 1]], 29/18432], [[[1, 5], [2, 6], [4, 4], [10, 1]], 43/122880], [[[1, 5], [2, 6], [4, 5], [6, 1]], 71/442368], [[[1, 5], [2, 6], [5, 1], [10, 2]], 1/4800], [[[1, 5], [2, 6], [5, 2], [10, 1]], 1/2880], [[[1, 5], [2, 6], [6, 2], [10, 2]], 11/1382400], [[[1, 5], [2, 6], [6, 4], [10, 1]], 1/331776], [[[1, 5], [2, 8], [3, 1], [4, 4]], 191/3317760], [[[1, 5], [2, 8], [3, 1], [6, 4]], 9503/44789760], [[[1, 5], [2, 8], [3, 1], [10, 2]], 11/345600], [[[1, 5], [2, 8], [3, 2], [4, 3]], 2507/79626240], [[[1, 5], [2, 8], [3, 2], [6, 3]], 59/138240], [[[1, 5], [2, 8], [3, 3], [4, 2]], 19/2654208], [[[1, 5], [2, 8], [3, 3], [6, 2]], 1061/5971968], [[[1, 5], [2, 8], [3, 4], [4, 1]], 1/11943936], [[[1, 5], [2, 8], [3, 4], [6, 1]], 1/165888], [[[1, 5], [2, 8], [4, 1], [5, 2]], 1/921600], [[[1, 5], [2, 8], [4, 1], [6, 4]], 19559/179159040], [[[1, 5], [2, 8], [4, 1], [8, 2]], 31/368640], [[[1, 5], [2, 8], [4, 1], [10, 2]], 2029/13824000], [[[1, 5], [2, 8], [4, 2], [6, 3]], 1861/3981312], [[[1, 5], [2, 8], [4, 3], [5, 1]], 133/1474560], [[[1, 5], [2, 8], [4, 3], [6, 2]], 3947/5308416], [[[1, 5], [2, 8], [4, 3], [8, 1]], 3899/4423680], [[[1, 5], [2, 8], [4, 3], [10, 1]], 209/491520], [[[1, 5], [2, 8], [4, 4], [6, 1]], 251/442368], [[[1, 5], [2, 8], [6, 1], [10, 2]], 13/172800], [[[1, 5], [2, 8], [6, 3], [10, 1]], 1/13824], [[[1, 5], [2, 10], [3, 1], [4, 3]], 1031/39813120], [[[1, 5], [2, 10], [3, 1], [6, 3]], 27311/119439360], [[[1, 5], [2, 10], [3, 2], [4, 2]], 37/21233664], [[[1, 5], [2, 10], [3, 2], [6, 2]], 21973/477757440], [[[1, 5], [2, 10], [3, 3], [6, 1]], 35/47775744], [[[1, 5], [2, 10], [4, 1], [6, 3]], 133397/268738560], [[[1, 5], [2, 10], [4, 2], [5, 1]], 37/5898240], [[[1, 5], [2, 10], [4, 2], [6, 2]], 19529/26542080], [[[1, 5], [2, 10], [4, 2], [8, 1]], 71/737280], [[[1, 5], [2, 10], [4, 2], [10, 1]], 5087/22118400], [[[1, 5], [2, 10], [4, 3], [6, 1]], 2827/6635520], [[[1, 5], [2, 10], [5, 1], [10, 1]], 49/2764800], [[[1, 5], [2, 10], [6, 2], [10, 1]], 2159/11059200], [[[1, 5], [2, 12], [3, 1], [4, 2]], 47/49766400], [[[1, 5], [2, 12], [3, 1], [6, 2]], 156743/3583180800], [[[1, 5], [2, 12], [3, 1], [10, 1]], 7/3110400], [[[1, 5], [2, 12], [3, 2], [6, 1]], 83/298598400], [[[1, 5], [2, 12], [4, 1], [6, 2]], 4228363/14332723200], [[[1, 5], [2, 12], [4, 1], [8, 1]], 1/1474560], [[[1, 5], [2, 12], [4, 1], [10, 1]], 222203/3981312000], [[[1, 5], [2, 12], [4, 2], [6, 1]], 14489/79626240], [[[1, 5], [2, 12], [6, 1], [10, 1]], 2513/33177600], [[[1, 5], [2, 14], [3, 1], [4, 1]], 23/99532800], [[[1, 5], [2, 14], [3, 1], [6, 1]], 23701/11466178560], [[[1, 5], [2, 14], [4, 1], [6, 1]], 286609/7166361600], [[[1, 5], [3, 1], [4, 2], [5, 3]], 1/72000], [[[1, 5], [3, 1], [6, 2], [9, 2]], 1/62208], [[[1, 5], [3, 1], [9, 2], [12, 1]], 1/10368], [[[1, 5], [3, 3], [4, 2], [5, 2]], 1/86400], [[[1, 5], [3, 3], [5, 1], [15, 1]], 17/17280], [[[1, 5], [3, 4], [6, 2], [9, 1]], 1/7776], [[[1, 5], [3, 4], [9, 1], [12, 1]], 1/1296], [[[1, 5], [3, 5], [4, 2], [5, 1]], 1/311040], [[[1, 6], [2, 1], [3, 2], [9, 2]], 1/3456], [[[1, 6], [2, 1], [3, 5], [4, 3]], 1/373248], [[[1, 6], [2, 1], [3, 5], [6, 3]], 1/20736], [[[1, 6], [2, 1], [3, 5], [9, 1]], 1/1152], [[[1, 6], [2, 1], [3, 6], [4, 2]], 13/4478976], [[[1, 6], [2, 1], [3, 7], [4, 1]], 161/33592320], [[[1, 6], [2, 1], [3, 7], [6, 1]], 31/559872], [[[1, 6], [2, 1], [4, 2], [5, 3]], 1/96000], [[[1, 6], [2, 3], [3, 1], [5, 3]], 1/72000], [[[1, 6], [2, 3], [3, 2], [4, 5]], 7/884736], [[[1, 6], [2, 3], [3, 2], [6, 5]], 1/82944], [[[1, 6], [2, 3], [3, 3], [4, 4]], 7/331776], [[[1, 6], [2, 3], [3, 3], [5, 2]], 1/86400], [[[1, 6], [2, 3], [3, 3], [6, 4]], 173/746496], [[[1, 6], [2, 3], [3, 4], [4, 3]], 5/165888], [[[1, 6], [2, 3], [3, 4], [6, 3]], 1793/1492992], [[[1, 6], [2, 3], [3, 4], [9, 1]], 1/3456], [[[1, 6], [2, 3], [3, 5], [4, 2]], 11/373248], [[[1, 6], [2, 3], [3, 5], [5, 1]], 1/311040], [[[1, 6], [2, 3], [3, 5], [6, 2]], 2635/2239488], [[[1, 6], [2, 3], [3, 6], [4, 1]], 1/995328], [[[1, 6], [2, 3], [3, 6], [6, 1]], 437/13436928], [[[1, 6], [2, 3], [4, 1], [5, 3]], 3/64000], [[[1, 6], [2, 3], [4, 3], [5, 2]], 1/6400], [[[1, 6], [2, 3], [4, 3], [8, 2]], 1/3072], [[[1, 6], [2, 3], [4, 5], [5, 1]], 7/245760], [[[1, 6], [2, 3], [4, 5], [8, 1]], 1/8192], [[[1, 6], [2, 3], [5, 3], [6, 1]], 1/36000], [[[1, 6], [2, 5], [3, 1], [4, 5]], 71/442368], [[[1, 6], [2, 5], [3, 1], [6, 5]], 5/1990656], [[[1, 6], [2, 5], [3, 2], [4, 4]], 29/147456], [[[1, 6], [2, 5], [3, 2], [5, 2]], 11/1382400], [[[1, 6], [2, 5], [3, 2], [6, 4]], 1885/3981312], [[[1, 6], [2, 5], [3, 3], [4, 3]], 31/221184], [[[1, 6], [2, 5], [3, 3], [6, 3]], 19585/11943936], [[[1, 6], [2, 5], [3, 4], [4, 2]], 79/7962624], [[[1, 6], [2, 5], [3, 4], [5, 1]], 1/331776], [[[1, 6], [2, 5], [3, 4], [6, 2]], 2671/2985984], [[[1, 6], [2, 5], [3, 5], [4, 1]], 19/4478976], [[[1, 6], [2, 5], [3, 5], [6, 1]], 847/35831808], [[[1, 6], [2, 5], [4, 1], [6, 5]], 1/2985984], [[[1, 6], [2, 5], [4, 2], [5, 2]], 79/614400], [[[1, 6], [2, 5], [4, 2], [6, 4]], 13/7962624], [[[1, 6], [2, 5], [4, 2], [8, 2]], 499/552960], [[[1, 6], [2, 5], [4, 2], [10, 2]], 13/614400], [[[1, 6], [2, 5], [4, 3], [6, 3]], 1/82944], [[[1, 6], [2, 5], [4, 4], [5, 1]], 43/122880], [[[1, 6], [2, 5], [4, 4], [6, 2]], 89/1769472], [[[1, 6], [2, 5], [4, 4], [8, 1]], 29/18432], [[[1, 6], [2, 5], [4, 4], [10, 1]], 89/491520], [[[1, 6], [2, 5], [4, 5], [6, 1]], 7/73728], [[[1, 6], [2, 5], [5, 1], [10, 2]], 1/2880], [[[1, 6], [2, 5], [5, 2], [10, 1]], 1/4800], [[[1, 6], [2, 5], [6, 2], [10, 2]], 1/2764800], [[[1, 6], [2, 5], [6, 4], [10, 1]], 1/9953280], [[[1, 6], [2, 7], [3, 1], [4, 4]], 6427/13271040], [[[1, 6], [2, 7], [3, 1], [5, 2]], 1/691200], [[[1, 6], [2, 7], [3, 1], [6, 4]], 91/995328], [[[1, 6], [2, 7], [3, 1], [10, 2]], 1/46080], [[[1, 6], [2, 7], [3, 2], [4, 3]], 343/2654208], [[[1, 6], [2, 7], [3, 2], [6, 3]], 6829/9953280], [[[1, 6], [2, 7], [3, 3], [4, 2]], 205/3981312], [[[1, 6], [2, 7], [3, 3], [5, 1]], 1/1244160], [[[1, 6], [2, 7], [3, 3], [6, 2]], 2153/3732480], [[[1, 6], [2, 7], [3, 4], [4, 1]], 11/3981312], [[[1, 6], [2, 7], [3, 4], [6, 1]], 11/248832], [[[1, 6], [2, 7], [4, 1], [5, 2]], 1/61440], [[[1, 6], [2, 7], [4, 1], [6, 4]], 301/11943936], [[[1, 6], [2, 7], [4, 1], [8, 2]], 139/552960], [[[1, 6], [2, 7], [4, 1], [10, 2]], 13/184320], [[[1, 6], [2, 7], [4, 2], [6, 3]], 167/1327104], [[[1, 6], [2, 7], [4, 3], [5, 1]], 677/2211840], [[[1, 6], [2, 7], [4, 3], [6, 2]], 125/196608], [[[1, 6], [2, 7], [4, 3], [8, 1]], 25477/13271040], [[[1, 6], [2, 7], [4, 3], [10, 1]], 839/1474560], [[[1, 6], [2, 7], [4, 4], [6, 1]], 95/110592], [[[1, 6], [2, 7], [5, 2], [6, 1]], 1/230400], [[[1, 6], [2, 7], [6, 1], [10, 2]], 29/1382400], [[[1, 6], [2, 7], [6, 3], [10, 1]], 7/497664], [[[1, 6], [2, 9], [3, 1], [4, 3]], 17741/79626240], [[[1, 6], [2, 9], [3, 1], [6, 3]], 731/2654208], [[[1, 6], [2, 9], [3, 2], [4, 2]], 67/1658880], [[[1, 6], [2, 9], [3, 2], [5, 1]], 1/13271040], [[[1, 6], [2, 9], [3, 2], [6, 2]], 6677/26542080], [[[1, 6], [2, 9], [3, 2], [8, 1]], 1/4976640], [[[1, 6], [2, 9], [3, 3], [4, 1]], 7/2654208], [[[1, 6], [2, 9], [3, 3], [6, 1]], 6571/238878720], [[[1, 6], [2, 9], [4, 1], [6, 3]], 7663/29859840], [[[1, 6], [2, 9], [4, 2], [5, 1]], 5/73728], [[[1, 6], [2, 9], [4, 2], [6, 2]], 40637/53084160], [[[1, 6], [2, 9], [4, 2], [8, 1]], 647/1327104], [[[1, 6], [2, 9], [4, 2], [10, 1]], 14831/44236800], [[[1, 6], [2, 9], [4, 3], [6, 1]], 187/184320], [[[1, 6], [2, 9], [5, 1], [8, 1]], 1/1382400], [[[1, 6], [2, 9], [5, 1], [10, 1]], 169/1658880], [[[1, 6], [2, 9], [6, 2], [10, 1]], 293/2764800], [[[1, 6], [2, 11], [3, 1], [4, 2]], 1109/53084160], [[[1, 6], [2, 11], [3, 1], [6, 2]], 1079/9953280], [[[1, 6], [2, 11], [3, 1], [10, 1]], 13/1658880], [[[1, 6], [2, 11], [3, 2], [4, 1]], 227/637009920], [[[1, 6], [2, 11], [3, 2], [6, 1]], 1123/159252480], [[[1, 6], [2, 11], [4, 1], [5, 1]], 227/176947200], [[[1, 6], [2, 11], [4, 1], [6, 2]], 187841/477757440], [[[1, 6], [2, 11], [4, 1], [8, 1]], 857/66355200], [[[1, 6], [2, 11], [4, 1], [10, 1]], 2741/26542080], [[[1, 6], [2, 11], [4, 2], [6, 1]], 16387/39813120], [[[1, 6], [2, 11], [6, 1], [10, 1]], 17953/199065600], [[[1, 6], [2, 13], [3, 1], [4, 1]], 503/298598400], [[[1, 6], [2, 13], [3, 1], [6, 1]], 56363/6370099200], [[[1, 6], [2, 13], [4, 1], [6, 1]], 121109/1194393600], [[[1, 7], [2, 2], [3, 1], [5, 3]], 1/28800], [[[1, 7], [2, 2], [3, 3], [4, 4]], 5/663552], [[[1, 7], [2, 2], [3, 3], [5, 2]], 1/34560], [[[1, 7], [2, 2], [3, 3], [6, 4]], 13/373248], [[[1, 7], [2, 2], [3, 4], [4, 3]], 11/497664], [[[1, 7], [2, 2], [3, 4], [6, 3]], 19/248832], [[[1, 7], [2, 2], [3, 4], [9, 1]], 7/10368], [[[1, 7], [2, 2], [3, 5], [4, 2]], 47/1492992], [[[1, 7], [2, 2], [3, 5], [5, 1]], 1/124416], [[[1, 7], [2, 2], [3, 5], [6, 2]], 4649/7464960], [[[1, 7], [2, 2], [3, 5], [12, 1]], 1/138240], [[[1, 7], [2, 2], [3, 6], [4, 1]], 959/22394880], [[[1, 7], [2, 2], [3, 6], [6, 1]], 38833/100776960], [[[1, 7], [2, 2], [4, 1], [5, 3]], 7/96000], [[[1, 7], [2, 2], [4, 3], [5, 2]], 1/38400], [[[1, 7], [2, 2], [4, 3], [8, 2]], 1/23040], [[[1, 7], [2, 2], [5, 3], [6, 1]], 1/216000], [[[1, 7], [2, 4], [3, 1], [4, 5]], 5/55296], [[[1, 7], [2, 4], [3, 1], [6, 5]], 1/11943936], [[[1, 7], [2, 4], [3, 2], [4, 4]], 17/110592], [[[1, 7], [2, 4], [3, 2], [5, 2]], 47/921600], [[[1, 7], [2, 4], [3, 2], [6, 4]], 1997/29859840], [[[1, 7], [2, 4], [3, 3], [4, 3]], 97/497664], [[[1, 7], [2, 4], [3, 3], [6, 3]], 67061/59719680], [[[1, 7], [2, 4], [3, 4], [4, 2]], 457/2654208], [[[1, 7], [2, 4], [3, 4], [5, 1]], 719/29859840], [[[1, 7], [2, 4], [3, 4], [6, 2]], 5287/3981312], [[[1, 7], [2, 4], [3, 5], [4, 1]], 29/1492992], [[[1, 7], [2, 4], [3, 5], [6, 1]], 8803/44789760], [[[1, 7], [2, 4], [4, 2], [5, 2]], 179/614400], [[[1, 7], [2, 4], [4, 2], [6, 4]], 1/7962624], [[[1, 7], [2, 4], [4, 2], [8, 2]], 151/368640], [[[1, 7], [2, 4], [4, 2], [10, 2]], 1/614400], [[[1, 7], [2, 4], [4, 3], [6, 3]], 1/497664], [[[1, 7], [2, 4], [4, 4], [5, 1]], 17/92160], [[[1, 7], [2, 4], [4, 4], [6, 2]], 1/165888], [[[1, 7], [2, 4], [4, 4], [8, 1]], 17/30720], [[[1, 7], [2, 4], [4, 4], [10, 1]], 1/46080], [[[1, 7], [2, 4], [5, 1], [10, 2]], 1/9600], [[[1, 7], [2, 4], [5, 2], [10, 1]], 1/38400], [[[1, 7], [2, 6], [3, 1], [4, 4]], 95/110592], [[[1, 7], [2, 6], [3, 1], [5, 2]], 29/1382400], [[[1, 7], [2, 6], [3, 1], [6, 4]], 11/248832], [[[1, 7], [2, 6], [3, 1], [10, 2]], 1/230400], [[[1, 7], [2, 6], [3, 2], [4, 3]], 125/196608], [[[1, 7], [2, 6], [3, 2], [6, 3]], 2153/3732480], [[[1, 7], [2, 6], [3, 3], [4, 2]], 167/1327104], [[[1, 7], [2, 6], [3, 3], [5, 1]], 7/497664], [[[1, 7], [2, 6], [3, 3], [6, 2]], 6829/9953280], [[[1, 7], [2, 6], [3, 4], [4, 1]], 301/11943936], [[[1, 7], [2, 6], [3, 4], [6, 1]], 91/995328], [[[1, 7], [2, 6], [4, 1], [5, 2]], 13/184320], [[[1, 7], [2, 6], [4, 1], [6, 4]], 11/3981312], [[[1, 7], [2, 6], [4, 1], [8, 2]], 139/552960], [[[1, 7], [2, 6], [4, 1], [10, 2]], 1/61440], [[[1, 7], [2, 6], [4, 2], [6, 3]], 205/3981312], [[[1, 7], [2, 6], [4, 3], [5, 1]], 839/1474560], [[[1, 7], [2, 6], [4, 3], [6, 2]], 343/2654208], [[[1, 7], [2, 6], [4, 3], [8, 1]], 25477/13271040], [[[1, 7], [2, 6], [4, 3], [10, 1]], 677/2211840], [[[1, 7], [2, 6], [4, 4], [6, 1]], 6427/13271040], [[[1, 7], [2, 6], [5, 2], [6, 1]], 1/46080], [[[1, 7], [2, 6], [6, 1], [10, 2]], 1/691200], [[[1, 7], [2, 6], [6, 3], [10, 1]], 1/1244160], [[[1, 7], [2, 8], [3, 1], [4, 3]], 7219/9953280], [[[1, 7], [2, 8], [3, 1], [6, 3]], 7817/29859840], [[[1, 7], [2, 8], [3, 2], [4, 2]], 24307/106168320], [[[1, 7], [2, 8], [3, 2], [5, 1]], 37/13271040], [[[1, 7], [2, 8], [3, 2], [6, 2]], 52831/79626240], [[[1, 7], [2, 8], [3, 2], [8, 1]], 1/829440], [[[1, 7], [2, 8], [3, 3], [4, 1]], 71/2985984], [[[1, 7], [2, 8], [3, 3], [6, 1]], 857/4976640], [[[1, 7], [2, 8], [4, 1], [6, 3]], 1601/19906560], [[[1, 7], [2, 8], [4, 2], [5, 1]], 763/3276800], [[[1, 7], [2, 8], [4, 2], [6, 2]], 13787/26542080], [[[1, 7], [2, 8], [4, 2], [8, 1]], 335/331776], [[[1, 7], [2, 8], [4, 2], [10, 1]], 7541/22118400], [[[1, 7], [2, 8], [4, 3], [6, 1]], 16429/13271040], [[[1, 7], [2, 8], [5, 1], [6, 2]], 1/259200], [[[1, 7], [2, 8], [5, 1], [8, 1]], 1/230400], [[[1, 7], [2, 8], [5, 1], [10, 1]], 2039/8294400], [[[1, 7], [2, 8], [6, 2], [8, 1]], 1/1658880], [[[1, 7], [2, 8], [6, 2], [10, 1]], 1/34560], [[[1, 7], [2, 8], [8, 1], [10, 1]], 1/460800], [[[1, 7], [2, 10], [3, 1], [4, 2]], 701/4423680], [[[1, 7], [2, 10], [3, 1], [5, 1]], 11/14745600], [[[1, 7], [2, 10], [3, 1], [6, 2]], 47161/238878720], [[[1, 7], [2, 10], [3, 1], [8, 1]], 1/1555200], [[[1, 7], [2, 10], [3, 1], [10, 1]], 113/8294400], [[[1, 7], [2, 10], [3, 2], [4, 1]], 3811/318504960], [[[1, 7], [2, 10], [3, 2], [6, 1]], 15689/238878720], [[[1, 7], [2, 10], [4, 1], [5, 1]], 1403/88473600], [[[1, 7], [2, 10], [4, 1], [6, 2]], 10379/35389440], [[[1, 7], [2, 10], [4, 1], [8, 1]], 1079/13271040], [[[1, 7], [2, 10], [4, 1], [10, 1]], 1927/17694720], [[[1, 7], [2, 10], [4, 2], [6, 1]], 49991/79626240], [[[1, 7], [2, 10], [5, 1], [6, 1]], 47/33177600], [[[1, 7], [2, 10], [6, 1], [8, 1]], 1/829440], [[[1, 7], [2, 10], [6, 1], [10, 1]], 263/4147200], [[[1, 7], [2, 12], [3, 1], [4, 1]], 1199/132710400], [[[1, 7], [2, 12], [3, 1], [6, 1]], 13961/530841600], [[[1, 7], [2, 12], [4, 1], [6, 1]], 40937/265420800], [[[1, 7], [3, 2], [4, 2], [5, 2]], 1/76800], [[[1, 7], [3, 2], [5, 1], [15, 1]], 1/8640], [[[1, 7], [3, 3], [6, 2], [9, 1]], 1/62208], [[[1, 7], [3, 3], [9, 1], [12, 1]], 1/10368], [[[1, 7], [3, 4], [4, 2], [5, 1]], 17/2488320], [[[1, 8], [2, 1], [3, 1], [5, 3]], 1/24000], [[[1, 8], [2, 1], [3, 3], [5, 2]], 11/86400], [[[1, 8], [2, 1], [3, 4], [4, 3]], 37/7464960], [[[1, 8], [2, 1], [3, 4], [6, 3]], 1/165888], [[[1, 8], [2, 1], [3, 4], [9, 1]], 1/3456], [[[1, 8], [2, 1], [3, 5], [4, 2]], 5/746496], [[[1, 8], [2, 1], [3, 5], [5, 1]], 19/311040], [[[1, 8], [2, 1], [3, 5], [6, 2]], 1/414720], [[[1, 8], [2, 1], [3, 5], [12, 1]], 1/69120], [[[1, 8], [2, 1], [3, 6], [4, 1]], 4721/268738560], [[[1, 8], [2, 1], [3, 6], [6, 1]], 1/7290], [[[1, 8], [2, 1], [4, 1], [5, 3]], 13/1152000], [[[1, 8], [2, 1], [4, 3], [5, 2]], 1/288000], [[[1, 8], [2, 3], [3, 1], [4, 5]], 11/442368], [[[1, 8], [2, 3], [3, 2], [4, 4]], 43/1105920], [[[1, 8], [2, 3], [3, 2], [5, 2]], 89/691200], [[[1, 8], [2, 3], [3, 2], [6, 4]], 11/11943936], [[[1, 8], [2, 3], [3, 3], [4, 3]], 19/165888], [[[1, 8], [2, 3], [3, 3], [6, 3]], 1771/11943936], [[[1, 8], [2, 3], [3, 4], [4, 2]], 5117/23887872], [[[1, 8], [2, 3], [3, 4], [5, 1]], 11/165888], [[[1, 8], [2, 3], [3, 4], [6, 2]], 54427/89579520], [[[1, 8], [2, 3], [3, 5], [4, 1]], 11/82944], [[[1, 8], [2, 3], [3, 5], [6, 1]], 15325/35831808], [[[1, 8], [2, 3], [4, 2], [5, 2]], 349/1843200], [[[1, 8], [2, 3], [4, 2], [8, 2]], 19/368640], [[[1, 8], [2, 3], [4, 4], [5, 1]], 19/921600], [[[1, 8], [2, 3], [4, 4], [6, 2]], 1/1327104], [[[1, 8], [2, 3], [4, 4], [8, 1]], 61/552960], [[[1, 8], [2, 3], [4, 4], [10, 1]], 1/368640], [[[1, 8], [2, 3], [5, 1], [10, 2]], 1/115200], [[[1, 8], [2, 5], [3, 1], [4, 4]], 251/442368], [[[1, 8], [2, 5], [3, 1], [5, 2]], 13/172800], [[[1, 8], [2, 5], [3, 1], [6, 4]], 1/165888], [[[1, 8], [2, 5], [3, 2], [4, 3]], 3947/5308416], [[[1, 8], [2, 5], [3, 2], [6, 3]], 1061/5971968], [[[1, 8], [2, 5], [3, 3], [4, 2]], 1861/3981312], [[[1, 8], [2, 5], [3, 3], [5, 1]], 1/13824], [[[1, 8], [2, 5], [3, 3], [6, 2]], 59/138240], [[[1, 8], [2, 5], [3, 4], [4, 1]], 19559/179159040], [[[1, 8], [2, 5], [3, 4], [6, 1]], 9503/44789760], [[[1, 8], [2, 5], [4, 1], [5, 2]], 2029/13824000], [[[1, 8], [2, 5], [4, 1], [6, 4]], 1/11943936], [[[1, 8], [2, 5], [4, 1], [8, 2]], 31/368640], [[[1, 8], [2, 5], [4, 1], [10, 2]], 1/921600], [[[1, 8], [2, 5], [4, 2], [6, 3]], 19/2654208], [[[1, 8], [2, 5], [4, 3], [5, 1]], 209/491520], [[[1, 8], [2, 5], [4, 3], [6, 2]], 2507/79626240], [[[1, 8], [2, 5], [4, 3], [8, 1]], 3899/4423680], [[[1, 8], [2, 5], [4, 3], [10, 1]], 133/1474560], [[[1, 8], [2, 5], [4, 4], [6, 1]], 191/3317760], [[[1, 8], [2, 5], [5, 2], [6, 1]], 11/345600], [[[1, 8], [2, 7], [3, 1], [4, 3]], 16429/13271040], [[[1, 8], [2, 7], [3, 1], [6, 3]], 857/4976640], [[[1, 8], [2, 7], [3, 2], [4, 2]], 13787/26542080], [[[1, 8], [2, 7], [3, 2], [5, 1]], 1/34560], [[[1, 8], [2, 7], [3, 2], [6, 2]], 52831/79626240], [[[1, 8], [2, 7], [3, 2], [8, 1]], 1/1658880], [[[1, 8], [2, 7], [3, 2], [10, 1]], 1/259200], [[[1, 8], [2, 7], [3, 3], [4, 1]], 1601/19906560], [[[1, 8], [2, 7], [3, 3], [6, 1]], 7817/29859840], [[[1, 8], [2, 7], [4, 1], [6, 3]], 71/2985984], [[[1, 8], [2, 7], [4, 2], [5, 1]], 7541/22118400], [[[1, 8], [2, 7], [4, 2], [6, 2]], 24307/106168320], [[[1, 8], [2, 7], [4, 2], [8, 1]], 335/331776], [[[1, 8], [2, 7], [4, 2], [10, 1]], 763/3276800], [[[1, 8], [2, 7], [4, 3], [6, 1]], 7219/9953280], [[[1, 8], [2, 7], [5, 1], [8, 1]], 1/460800], [[[1, 8], [2, 7], [5, 1], [10, 1]], 2039/8294400], [[[1, 8], [2, 7], [6, 2], [8, 1]], 1/829440], [[[1, 8], [2, 7], [6, 2], [10, 1]], 37/13271040], [[[1, 8], [2, 7], [8, 1], [10, 1]], 1/230400], [[[1, 8], [2, 9], [3, 1], [4, 2]], 75541/159252480], [[[1, 8], [2, 9], [3, 1], [5, 1]], 497/66355200], [[[1, 8], [2, 9], [3, 1], [6, 2]], 707/2488320], [[[1, 8], [2, 9], [3, 1], [8, 1]], 11/2488320], [[[1, 8], [2, 9], [3, 1], [10, 1]], 23/1843200], [[[1, 8], [2, 9], [3, 2], [4, 1]], 16777/212336640], [[[1, 8], [2, 9], [3, 2], [6, 1]], 107629/477757440], [[[1, 8], [2, 9], [4, 1], [5, 1]], 3577/58982400], [[[1, 8], [2, 9], [4, 1], [6, 2]], 3403/19906560], [[[1, 8], [2, 9], [4, 1], [8, 1]], 299/1474560], [[[1, 8], [2, 9], [4, 1], [10, 1]], 1471/16588800], [[[1, 8], [2, 9], [4, 2], [6, 1]], 1867/2654208], [[[1, 8], [2, 9], [5, 1], [6, 1]], 13/1382400], [[[1, 8], [2, 9], [6, 1], [8, 1]], 1/207360], [[[1, 8], [2, 9], [6, 1], [10, 1]], 3487/132710400], [[[1, 8], [2, 11], [3, 1], [4, 1]], 65917/1592524800], [[[1, 8], [2, 11], [3, 1], [6, 1]], 298943/4777574400], [[[1, 8], [2, 11], [4, 1], [6, 1]], 39763/238878720], [[[1, 9], [2, 2], [3, 2], [4, 4]], 59/8847360], [[[1, 9], [2, 2], [3, 2], [5, 2]], 11/61440], [[[1, 9], [2, 2], [3, 3], [4, 3]], 29/1244160], [[[1, 9], [2, 2], [3, 3], [6, 3]], 1/442368], [[[1, 9], [2, 2], [3, 4], [4, 2]], 8093/119439360], [[[1, 9], [2, 2], [3, 4], [5, 1]], 1727/9953280], [[[1, 9], [2, 2], [3, 4], [6, 2]], 1519/19906560], [[[1, 9], [2, 2], [3, 5], [4, 1]], 305/2985984], [[[1, 9], [2, 2], [3, 5], [6, 1]], 10643/53747712], [[[1, 9], [2, 2], [4, 2], [5, 2]], 253/9216000], [[[1, 9], [2, 2], [4, 4], [5, 1]], 17/7372800], [[[1, 9], [2, 2], [4, 4], [8, 1]], 1/92160], [[[1, 9], [2, 4], [3, 1], [4, 4]], 361/2211840], [[[1, 9], [2, 4], [3, 1], [5, 2]], 841/6912000], [[[1, 9], [2, 4], [3, 2], [4, 3]], 2003/5308416], [[[1, 9], [2, 4], [3, 2], [6, 3]], 1/46080], [[[1, 9], [2, 4], [3, 3], [4, 2]], 401/663552], [[[1, 9], [2, 4], [3, 3], [5, 1]], 6673/37324800], [[[1, 9], [2, 4], [3, 3], [6, 2]], 283/3317760], [[[1, 9], [2, 4], [3, 4], [4, 1]], 6677/19906560], [[[1, 9], [2, 4], [3, 4], [6, 1]], 2963/11197440], [[[1, 9], [2, 4], [4, 1], [5, 2]], 79/512000], [[[1, 9], [2, 4], [4, 1], [8, 2]], 1/122880], [[[1, 9], [2, 4], [4, 3], [5, 1]], 713/4423680], [[[1, 9], [2, 4], [4, 3], [6, 2]], 89/31850496], [[[1, 9], [2, 4], [4, 3], [8, 1]], 59/294912], [[[1, 9], [2, 4], [4, 3], [10, 1]], 89/8847360], [[[1, 9], [2, 4], [4, 4], [6, 1]], 1/138240], [[[1, 9], [2, 4], [5, 2], [6, 1]], 23/1728000], [[[1, 9], [2, 6], [3, 1], [4, 3]], 187/184320], [[[1, 9], [2, 6], [3, 1], [6, 3]], 6571/238878720], [[[1, 9], [2, 6], [3, 2], [4, 2]], 40637/53084160], [[[1, 9], [2, 6], [3, 2], [5, 1]], 293/2764800], [[[1, 9], [2, 6], [3, 2], [6, 2]], 6677/26542080], [[[1, 9], [2, 6], [3, 3], [4, 1]], 7663/29859840], [[[1, 9], [2, 6], [3, 3], [6, 1]], 731/2654208], [[[1, 9], [2, 6], [4, 1], [6, 3]], 7/2654208], [[[1, 9], [2, 6], [4, 2], [5, 1]], 14831/44236800], [[[1, 9], [2, 6], [4, 2], [6, 2]], 67/1658880], [[[1, 9], [2, 6], [4, 2], [8, 1]], 647/1327104], [[[1, 9], [2, 6], [4, 2], [10, 1]], 5/73728], [[[1, 9], [2, 6], [4, 3], [6, 1]], 17741/79626240], [[[1, 9], [2, 6], [5, 1], [10, 1]], 169/1658880], [[[1, 9], [2, 6], [6, 2], [8, 1]], 1/4976640], [[[1, 9], [2, 6], [6, 2], [10, 1]], 1/13271040], [[[1, 9], [2, 6], [8, 1], [10, 1]], 1/1382400], [[[1, 9], [2, 8], [3, 1], [4, 2]], 1867/2654208], [[[1, 9], [2, 8], [3, 1], [5, 1]], 3487/132710400], [[[1, 9], [2, 8], [3, 1], [6, 2]], 107629/477757440], [[[1, 9], [2, 8], [3, 1], [8, 1]], 1/207360], [[[1, 9], [2, 8], [3, 1], [10, 1]], 13/1382400], [[[1, 9], [2, 8], [3, 2], [4, 1]], 3403/19906560], [[[1, 9], [2, 8], [3, 2], [6, 1]], 707/2488320], [[[1, 9], [2, 8], [4, 1], [5, 1]], 1471/16588800], [[[1, 9], [2, 8], [4, 1], [6, 2]], 16777/212336640], [[[1, 9], [2, 8], [4, 1], [8, 1]], 299/1474560], [[[1, 9], [2, 8], [4, 1], [10, 1]], 3577/58982400], [[[1, 9], [2, 8], [4, 2], [6, 1]], 75541/159252480], [[[1, 9], [2, 8], [5, 1], [6, 1]], 23/1843200], [[[1, 9], [2, 8], [6, 1], [8, 1]], 11/2488320], [[[1, 9], [2, 8], [6, 1], [10, 1]], 497/66355200], [[[1, 9], [2, 10], [3, 1], [4, 1]], 30611/265420800], [[[1, 9], [2, 10], [3, 1], [6, 1]], 421037/3822059520], [[[1, 9], [2, 10], [4, 1], [6, 1]], 5797/35389440], [[[1, 9], [3, 1], [4, 2], [5, 2]], 1/576000], [[[1, 9], [3, 3], [4, 2], [5, 1]], 13/3110400], [[[1, 10], [2, 1], [3, 2], [5, 2]], 29/460800], [[[1, 10], [2, 1], [3, 3], [4, 3]], 257/89579520], [[[1, 10], [2, 1], [3, 4], [4, 2]], 583/119439360], [[[1, 10], [2, 1], [3, 4], [5, 1]], 427/4976640], [[[1, 10], [2, 1], [3, 5], [4, 1]], 439/22394880], [[[1, 10], [2, 1], [3, 5], [6, 1]], 1447/59719680], [[[1, 10], [2, 1], [4, 2], [5, 2]], 7/9216000], [[[1, 10], [2, 3], [3, 1], [4, 4]], 127/13271040], [[[1, 10], [2, 3], [3, 1], [5, 2]], 361/3456000], [[[1, 10], [2, 3], [3, 2], [4, 3]], 131/1474560], [[[1, 10], [2, 3], [3, 3], [4, 2]], 16433/59719680], [[[1, 10], [2, 3], [3, 3], [5, 1]], 1621/6220800], [[[1, 10], [2, 3], [3, 3], [6, 2]], 11/2239488], [[[1, 10], [2, 3], [3, 4], [4, 1]], 661/2211840], [[[1, 10], [2, 3], [3, 4], [6, 1]], 2849/22394880], [[[1, 10], [2, 3], [4, 1], [5, 2]], 33/512000], [[[1, 10], [2, 3], [4, 3], [5, 1]], 83/3686400], [[[1, 10], [2, 3], [4, 3], [8, 1]], 73/4423680], [[[1, 10], [2, 3], [5, 2], [6, 1]], 7/3456000], [[[1, 10], [2, 5], [3, 1], [4, 3]], 2827/6635520], [[[1, 10], [2, 5], [3, 1], [6, 3]], 35/47775744], [[[1, 10], [2, 5], [3, 2], [4, 2]], 19529/26542080], [[[1, 10], [2, 5], [3, 2], [5, 1]], 2159/11059200], [[[1, 10], [2, 5], [3, 2], [6, 2]], 21973/477757440], [[[1, 10], [2, 5], [3, 3], [4, 1]], 133397/268738560], [[[1, 10], [2, 5], [3, 3], [6, 1]], 27311/119439360], [[[1, 10], [2, 5], [4, 2], [5, 1]], 5087/22118400], [[[1, 10], [2, 5], [4, 2], [6, 2]], 37/21233664], [[[1, 10], [2, 5], [4, 2], [8, 1]], 71/737280], [[[1, 10], [2, 5], [4, 2], [10, 1]], 37/5898240], [[[1, 10], [2, 5], [4, 3], [6, 1]], 1031/39813120], [[[1, 10], [2, 5], [5, 1], [10, 1]], 49/2764800], [[[1, 10], [2, 7], [3, 1], [4, 2]], 49991/79626240], [[[1, 10], [2, 7], [3, 1], [5, 1]], 263/4147200], [[[1, 10], [2, 7], [3, 1], [6, 2]], 15689/238878720], [[[1, 10], [2, 7], [3, 1], [8, 1]], 1/829440], [[[1, 10], [2, 7], [3, 1], [10, 1]], 47/33177600], [[[1, 10], [2, 7], [3, 2], [4, 1]], 10379/35389440], [[[1, 10], [2, 7], [3, 2], [6, 1]], 47161/238878720], [[[1, 10], [2, 7], [4, 1], [5, 1]], 1927/17694720], [[[1, 10], [2, 7], [4, 1], [6, 2]], 3811/318504960], [[[1, 10], [2, 7], [4, 1], [8, 1]], 1079/13271040], [[[1, 10], [2, 7], [4, 1], [10, 1]], 1403/88473600], [[[1, 10], [2, 7], [4, 2], [6, 1]], 701/4423680], [[[1, 10], [2, 7], [5, 1], [6, 1]], 113/8294400], [[[1, 10], [2, 7], [6, 1], [8, 1]], 1/1555200], [[[1, 10], [2, 7], [6, 1], [10, 1]], 11/14745600], [[[1, 10], [2, 9], [3, 1], [4, 1]], 5797/35389440], [[[1, 10], [2, 9], [3, 1], [6, 1]], 421037/3822059520], [[[1, 10], [2, 9], [4, 1], [6, 1]], 30611/265420800], [[[1, 11], [2, 2], [3, 1], [4, 4]], 1/1327104], [[[1, 11], [2, 2], [3, 1], [5, 2]], 17/460800], [[[1, 11], [2, 2], [3, 2], [4, 3]], 463/79626240], [[[1, 11], [2, 2], [3, 3], [4, 2]], 7751/179159040], [[[1, 11], [2, 2], [3, 3], [5, 1]], 341/2488320], [[[1, 11], [2, 2], [3, 3], [6, 2]], 1/5971968], [[[1, 11], [2, 2], [3, 4], [4, 1]], 5867/59719680], [[[1, 11], [2, 2], [3, 4], [6, 1]], 1999/80621568], [[[1, 11], [2, 2], [4, 1], [5, 2]], 47/4608000], [[[1, 11], [2, 2], [4, 3], [5, 1]], 23/22118400], [[[1, 11], [2, 2], [5, 2], [6, 1]], 1/10368000], [[[1, 11], [2, 4], [3, 1], [4, 3]], 95/995328], [[[1, 11], [2, 4], [3, 2], [4, 2]], 1261/3538944], [[[1, 11], [2, 4], [3, 2], [5, 1]], 60589/298598400], [[[1, 11], [2, 4], [3, 2], [6, 2]], 79/17694720], [[[1, 11], [2, 4], [3, 3], [4, 1]], 4669/11197440], [[[1, 11], [2, 4], [3, 3], [6, 1]], 28217/268738560], [[[1, 11], [2, 4], [4, 2], [5, 1]], 3409/44236800], [[[1, 11], [2, 4], [4, 2], [8, 1]], 7/1105920], [[[1, 11], [2, 4], [5, 1], [10, 1]], 1/921600], [[[1, 11], [2, 6], [3, 1], [4, 2]], 16387/39813120], [[[1, 11], [2, 6], [3, 1], [5, 1]], 17953/199065600], [[[1, 11], [2, 6], [3, 1], [6, 2]], 1123/159252480], [[[1, 11], [2, 6], [3, 2], [4, 1]], 187841/477757440], [[[1, 11], [2, 6], [3, 2], [6, 1]], 1079/9953280], [[[1, 11], [2, 6], [4, 1], [5, 1]], 2741/26542080], [[[1, 11], [2, 6], [4, 1], [6, 2]], 227/637009920], [[[1, 11], [2, 6], [4, 1], [8, 1]], 857/66355200], [[[1, 11], [2, 6], [4, 1], [10, 1]], 227/176947200], [[[1, 11], [2, 6], [4, 2], [6, 1]], 1109/53084160], [[[1, 11], [2, 6], [5, 1], [6, 1]], 13/1658880], [[[1, 11], [2, 8], [3, 1], [4, 1]], 39763/238878720], [[[1, 11], [2, 8], [3, 1], [6, 1]], 298943/4777574400], [[[1, 11], [2, 8], [4, 1], [6, 1]], 65917/1592524800], [[[1, 11], [3, 2], [4, 2], [5, 1]], 29/49766400], [[[1, 12], [2, 1], [3, 1], [5, 2]], 1/192000], [[[1, 12], [2, 1], [3, 2], [4, 3]], 911/2388787200], [[[1, 12], [2, 1], [3, 3], [4, 2]], 211/179159040], [[[1, 12], [2, 1], [3, 3], [5, 1]], 11/388800], [[[1, 12], [2, 1], [3, 4], [4, 1]], 5807/537477120], [[[1, 12], [2, 1], [3, 4], [6, 1]], 71/44789760], [[[1, 12], [2, 1], [4, 1], [5, 2]], 7/13824000], [[[1, 12], [2, 1], [4, 3], [5, 1]], 31/663552000], [[[1, 12], [2, 3], [3, 1], [4, 3]], 131/13271040], [[[1, 12], [2, 3], [3, 2], [4, 2]], 18061/238878720], [[[1, 12], [2, 3], [3, 2], [5, 1]], 2527/24883200], [[[1, 12], [2, 3], [3, 2], [6, 2]], 847/7166361600], [[[1, 12], [2, 3], [3, 3], [4, 1]], 3179/19906560], [[[1, 12], [2, 3], [3, 3], [6, 1]], 3167/134369280], [[[1, 12], [2, 3], [4, 2], [5, 1]], 737/66355200], [[[1, 12], [2, 5], [3, 1], [4, 2]], 14489/79626240], [[[1, 12], [2, 5], [3, 1], [5, 1]], 2513/33177600], [[[1, 12], [2, 5], [3, 1], [6, 2]], 83/298598400], [[[1, 12], [2, 5], [3, 2], [4, 1]], 4228363/14332723200], [[[1, 12], [2, 5], [3, 2], [6, 1]], 156743/3583180800], [[[1, 12], [2, 5], [4, 1], [5, 1]], 222203/3981312000], [[[1, 12], [2, 5], [4, 1], [8, 1]], 1/1474560], [[[1, 12], [2, 5], [4, 2], [6, 1]], 47/49766400], [[[1, 12], [2, 5], [5, 1], [6, 1]], 7/3110400], [[[1, 12], [2, 7], [3, 1], [4, 1]], 40937/265420800], [[[1, 12], [2, 7], [3, 1], [6, 1]], 13961/530841600], [[[1, 12], [2, 7], [4, 1], [6, 1]], 1199/132710400], [[[1, 13], [2, 2], [3, 1], [4, 3]], 73/199065600], [[[1, 13], [2, 2], [3, 2], [4, 2]], 28073/4777574400], [[[1, 13], [2, 2], [3, 2], [5, 1]], 61/2488320], [[[1, 13], [2, 2], [3, 2], [6, 2]], 1/477757440], [[[1, 13], [2, 2], [3, 3], [4, 1]], 2453/89579520], [[[1, 13], [2, 2], [3, 3], [6, 1]], 78413/32248627200], [[[1, 13], [2, 2], [4, 2], [5, 1]], 793/1327104000], [[[1, 13], [2, 4], [3, 1], [4, 2]], 583/13271040], [[[1, 13], [2, 4], [3, 1], [5, 1]], 106183/2985984000], [[[1, 13], [2, 4], [3, 1], [6, 2]], 1/49766400], [[[1, 13], [2, 4], [3, 2], [4, 1]], 69799/597196800], [[[1, 13], [2, 4], [3, 2], [6, 1]], 9337/895795200], [[[1, 13], [2, 4], [4, 1], [5, 1]], 2699/165888000], [[[1, 13], [2, 4], [4, 2], [6, 1]], 1/24883200], [[[1, 13], [2, 4], [5, 1], [6, 1]], 83/248832000], [[[1, 13], [2, 6], [3, 1], [4, 1]], 121109/1194393600], [[[1, 13], [2, 6], [3, 1], [6, 1]], 56363/6370099200], [[[1, 13], [2, 6], [4, 1], [6, 1]], 503/298598400], [[[1, 13], [3, 1], [4, 2], [5, 1]], 11/497664000], [[[1, 14], [2, 1], [3, 1], [4, 3]], 17/1194393600], [[[1, 14], [2, 1], [3, 2], [4, 2]], 23/238878720], [[[1, 14], [2, 1], [3, 2], [5, 1]], 539/199065600], [[[1, 14], [2, 1], [3, 3], [4, 1]], 8869/5374771200], [[[1, 14], [2, 1], [3, 3], [6, 1]], 107/1194393600], [[[1, 14], [2, 1], [4, 2], [5, 1]], 1/110592000], [[[1, 14], [2, 3], [3, 1], [4, 2]], 12109/2388787200], [[[1, 14], [2, 3], [3, 1], [5, 1]], 383/41472000], [[[1, 14], [2, 3], [3, 1], [6, 2]], 1/1791590400], [[[1, 14], [2, 3], [3, 2], [4, 1]], 25697/1061683200], [[[1, 14], [2, 3], [3, 2], [6, 1]], 1919/1433272320], [[[1, 14], [2, 3], [4, 1], [5, 1]], 737/294912000], [[[1, 14], [2, 3], [5, 1], [6, 1]], 1/41472000], [[[1, 14], [2, 5], [3, 1], [4, 1]], 286609/7166361600], [[[1, 14], [2, 5], [3, 1], [6, 1]], 23701/11466178560], [[[1, 14], [2, 5], [4, 1], [6, 1]], 23/99532800], [[[1, 15], [2, 2], [3, 1], [4, 2]], 7/29859840], [[[1, 15], [2, 2], [3, 1], [5, 1]], 517/398131200], [[[1, 15], [2, 2], [3, 2], [4, 1]], 11569/4777574400], [[[1, 15], [2, 2], [3, 2], [6, 1]], 917/10749542400], [[[1, 15], [2, 2], [4, 1], [5, 1]], 83/442368000], [[[1, 15], [2, 2], [5, 1], [6, 1]], 1/1492992000], [[[1, 15], [2, 4], [3, 1], [4, 1]], 3649/398131200], [[[1, 15], [2, 4], [3, 1], [6, 1]], 4259/14332723200], [[[1, 15], [2, 4], [4, 1], [6, 1]], 19/1194393600], [[[1, 16], [2, 1], [3, 1], [4, 2]], 7/2388787200], [[[1, 16], [2, 1], [3, 1], [5, 1]], 91/995328000], [[[1, 16], [2, 1], [3, 2], [4, 1]], 2587/28665446400], [[[1, 16], [2, 1], [3, 2], [6, 1]], 1/477757440], [[[1, 16], [2, 1], [4, 1], [5, 1]], 43/7962624000], [[[1, 16], [2, 3], [3, 1], [4, 1]], 209/176947200], [[[1, 16], [2, 3], [3, 1], [6, 1]], 349/14332723200], [[[1, 16], [2, 3], [4, 1], [6, 1]], 23/53747712000], [[[1, 17], [2, 2], [3, 1], [4, 1]], 187/2388787200], [[[1, 17], [2, 2], [3, 1], [6, 1]], 167/161243136000], [[[1, 18], [2, 1], [3, 1], [4, 1]], 443/214990848000], [[[1, 18], [2, 1], [3, 1], [6, 1]], 1/57330892800], [[[2, 3], [3, 2], [6, 2], [18, 2]], 1/7776], [[[2, 3], [6, 2], [12, 1], [18, 2]], 1/1296], [[[2, 3], [6, 4], [10, 1], [30, 1]], 1/2160], [[[2, 5], [3, 2], [6, 1], [18, 2]], 1/62208], [[[2, 5], [3, 2], [6, 4], [18, 1]], 1/7776], [[[2, 5], [4, 2], [6, 1], [10, 3]], 1/72000], [[[2, 5], [4, 2], [6, 3], [10, 2]], 1/86400], [[[2, 5], [4, 2], [6, 5], [10, 1]], 1/311040], [[[2, 5], [6, 1], [12, 1], [18, 2]], 1/10368], [[[2, 5], [6, 3], [10, 1], [30, 1]], 17/17280], [[[2, 5], [6, 4], [12, 1], [18, 1]], 1/1296], [[[2, 7], [3, 2], [6, 3], [18, 1]], 1/62208], [[[2, 7], [4, 2], [6, 2], [10, 2]], 1/76800], [[[2, 7], [4, 2], [6, 4], [10, 1]], 17/2488320], [[[2, 7], [6, 2], [10, 1], [30, 1]], 1/8640], [[[2, 7], [6, 3], [12, 1], [18, 1]], 1/10368], [[[2, 9], [4, 2], [6, 1], [10, 2]], 1/576000], [[[2, 9], [4, 2], [6, 3], [10, 1]], 13/3110400], [[[2, 11], [4, 2], [6, 2], [10, 1]], 29/49766400], [[[2, 13], [4, 2], [6, 1], [10, 1]], 11/497664000], [[[1, 1], [2, 2], [4, 1], [6, 3], [18, 2]], 1/10368], [[[1, 1], [2, 4], [3, 1], [4, 2], [6, 6]], 1/373248], [[[1, 1], [2, 4], [3, 1], [6, 2], [18, 2]], 1/1296], [[[1, 1], [2, 4], [3, 1], [6, 5], [18, 1]], 1/2592], [[[1, 1], [2, 4], [3, 2], [6, 1], [18, 2]], 1/10368], [[[1, 1], [2, 4], [3, 3], [4, 3], [6, 3]], 1/165888], [[[1, 1], [2, 4], [3, 3], [6, 3], [18, 1]], 1/2592], [[[1, 1], [2, 4], [3, 3], [6, 4], [8, 1]], 1/5184], [[[1, 1], [2, 4], [3, 3], [9, 1], [18, 1]], 1/20736], [[[1, 1], [2, 4], [4, 1], [6, 2], [18, 2]], 1/5184], [[[1, 1], [2, 4], [4, 1], [6, 5], [18, 1]], 1/10368], [[[1, 1], [2, 4], [4, 3], [6, 2], [10, 2]], 1/115200], [[[1, 1], [2, 4], [4, 3], [6, 4], [10, 1]], 1/414720], [[[1, 1], [2, 4], [6, 1], [12, 1], [18, 2]], 1/1728], [[[1, 1], [2, 4], [6, 3], [10, 1], [30, 1]], 1/320], [[[1, 1], [2, 6], [3, 1], [4, 2], [6, 5]], 17/2985984], [[[1, 1], [2, 6], [3, 1], [6, 1], [18, 2]], 1/10368], [[[1, 1], [2, 6], [3, 1], [6, 3], [10, 2]], 1/10800], [[[1, 1], [2, 6], [3, 1], [6, 4], [18, 1]], 11/6912], [[[1, 1], [2, 6], [3, 1], [6, 5], [10, 1]], 1/19440], [[[1, 1], [2, 6], [3, 1], [6, 5], [12, 1]], 1/3456], [[[1, 1], [2, 6], [3, 2], [4, 1], [6, 5]], 1/414720], [[[1, 1], [2, 6], [3, 2], [6, 3], [18, 1]], 1/10368], [[[1, 1], [2, 6], [3, 3], [4, 1], [6, 4]], 1/15552], [[[1, 1], [2, 6], [3, 3], [6, 2], [18, 1]], 1/20736], [[[1, 1], [2, 6], [3, 3], [6, 3], [8, 1]], 1/41472], [[[1, 1], [2, 6], [4, 1], [6, 1], [10, 3]], 1/9000], [[[1, 1], [2, 6], [4, 1], [6, 3], [10, 2]], 1/10800], [[[1, 1], [2, 6], [4, 1], [6, 4], [18, 1]], 1/5184], [[[1, 1], [2, 6], [4, 1], [6, 5], [10, 1]], 1/38880], [[[1, 1], [2, 6], [4, 1], [6, 5], [12, 1]], 1/69120], [[[1, 1], [2, 6], [4, 2], [6, 2], [10, 2]], 1/23040], [[[1, 1], [2, 6], [4, 2], [6, 4], [10, 1]], 1/46080], [[[1, 1], [2, 6], [4, 3], [6, 1], [10, 2]], 1/28800], [[[1, 1], [2, 6], [4, 3], [6, 3], [10, 1]], 1/51840], [[[1, 1], [2, 6], [6, 2], [10, 1], [30, 1]], 1/960], [[[1, 1], [2, 6], [6, 3], [12, 1], [18, 1]], 1/1728], [[[1, 1], [2, 8], [3, 1], [4, 2], [6, 4]], 13/3732480], [[[1, 1], [2, 8], [3, 1], [6, 2], [10, 2]], 1/69120], [[[1, 1], [2, 8], [3, 1], [6, 3], [18, 1]], 1/5184], [[[1, 1], [2, 8], [3, 1], [6, 4], [10, 1]], 37/622080], [[[1, 1], [2, 8], [3, 1], [6, 4], [12, 1]], 1/27648], [[[1, 1], [2, 8], [3, 3], [4, 1], [6, 3]], 13/1990656], [[[1, 1], [2, 8], [4, 1], [6, 2], [10, 2]], 79/460800], [[[1, 1], [2, 8], [4, 1], [6, 4], [10, 1]], 461/4976640], [[[1, 1], [2, 8], [4, 2], [6, 1], [10, 2]], 1/57600], [[[1, 1], [2, 8], [4, 2], [6, 3], [10, 1]], 1/34560], [[[1, 1], [2, 8], [4, 3], [6, 2], [10, 1]], 13/691200], [[[1, 1], [2, 10], [3, 1], [4, 2], [6, 3]], 29/59719680], [[[1, 1], [2, 10], [3, 1], [6, 1], [10, 2]], 1/2764800], [[[1, 1], [2, 10], [3, 1], [6, 3], [10, 1]], 79/8294400], [[[1, 1], [2, 10], [4, 1], [6, 1], [10, 2]], 13/576000], [[[1, 1], [2, 10], [4, 1], [6, 3], [10, 1]], 239/3110400], [[[1, 1], [2, 10], [4, 2], [6, 2], [10, 1]], 1/122880], [[[1, 1], [2, 10], [4, 3], [6, 1], [10, 1]], 19/8294400], [[[1, 1], [2, 12], [3, 1], [4, 2], [6, 2]], 11/597196800], [[[1, 1], [2, 12], [3, 1], [6, 2], [10, 1]], 1/2488320], [[[1, 1], [2, 12], [4, 1], [6, 2], [10, 1]], 139/12441600], [[[1, 1], [2, 12], [4, 2], [6, 1], [10, 1]], 1/1843200], [[[1, 1], [2, 14], [3, 1], [4, 2], [6, 1]], 1/4777574400], [[[1, 1], [2, 14], [3, 1], [6, 1], [10, 1]], 1/199065600], [[[1, 1], [2, 14], [4, 1], [6, 1], [10, 1]], 223/497664000], [[[1, 2], [2, 1], [3, 3], [4, 1], [9, 2]], 1/10368], [[[1, 2], [2, 3], [3, 1], [4, 3], [6, 5]], 1/497664], [[[1, 2], [2, 3], [3, 1], [6, 2], [18, 2]], 1/3888], [[[1, 2], [2, 3], [3, 2], [4, 2], [6, 5]], 1/124416], [[[1, 2], [2, 3], [3, 2], [6, 1], [18, 2]], 1/20736], [[[1, 2], [2, 3], [3, 3], [9, 1], [18, 1]], 1/3456], [[[1, 2], [2, 3], [3, 4], [4, 2], [6, 3]], 1/124416], [[[1, 2], [2, 3], [3, 4], [4, 3], [6, 2]], 1/165888], [[[1, 2], [2, 3], [3, 4], [6, 3], [8, 1]], 1/15552], [[[1, 2], [2, 3], [4, 1], [6, 2], [18, 2]], 1/1728], [[[1, 2], [2, 3], [4, 3], [6, 2], [8, 2]], 1/9216], [[[1, 2], [2, 3], [4, 3], [8, 2], [10, 1]], 1/2560], [[[1, 2], [2, 3], [6, 1], [12, 1], [18, 2]], 1/3456], [[[1, 2], [2, 3], [6, 3], [9, 1], [18, 1]], 1/6912], [[[1, 2], [2, 3], [6, 3], [10, 1], [30, 1]], 1/5760], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 6]], 43/746496], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 5]], 1/55296], [[[1, 2], [2, 5], [3, 1], [4, 3], [6, 4]], 1/62208], [[[1, 2], [2, 5], [3, 1], [6, 1], [10, 3]], 1/27000], [[[1, 2], [2, 5], [3, 1], [6, 1], [18, 2]], 19/31104], [[[1, 2], [2, 5], [3, 1], [6, 3], [10, 2]], 1/32400], [[[1, 2], [2, 5], [3, 1], [6, 4], [18, 1]], 89/31104], [[[1, 2], [2, 5], [3, 1], [6, 5], [10, 1]], 1/116640], [[[1, 2], [2, 5], [3, 2], [4, 2], [6, 4]], 7/331776], [[[1, 2], [2, 5], [3, 2], [4, 2], [8, 2]], 1/55296], [[[1, 2], [2, 5], [3, 2], [4, 4], [6, 2]], 1/73728], [[[1, 2], [2, 5], [3, 2], [6, 3], [18, 1]], 49/20736], [[[1, 2], [2, 5], [3, 2], [6, 4], [10, 1]], 1/12960], [[[1, 2], [2, 5], [3, 2], [6, 4], [12, 1]], 1/1152], [[[1, 2], [2, 5], [3, 2], [9, 1], [18, 1]], 1/3456], [[[1, 2], [2, 5], [3, 3], [4, 1], [6, 4]], 11/82944], [[[1, 2], [2, 5], [3, 3], [4, 2], [6, 3]], 25/331776], [[[1, 2], [2, 5], [3, 3], [6, 2], [18, 1]], 1/3456], [[[1, 2], [2, 5], [3, 3], [6, 3], [8, 1]], 1/6912], [[[1, 2], [2, 5], [3, 4], [4, 1], [6, 3]], 1/31104], [[[1, 2], [2, 5], [3, 4], [6, 2], [8, 1]], 1/124416], [[[1, 2], [2, 5], [4, 1], [6, 4], [18, 1]], 1/1728], [[[1, 2], [2, 5], [4, 2], [5, 1], [8, 2]], 1/15360], [[[1, 2], [2, 5], [4, 2], [5, 1], [10, 2]], 1/6400], [[[1, 2], [2, 5], [4, 2], [6, 2], [10, 2]], 13/230400], [[[1, 2], [2, 5], [4, 2], [6, 4], [10, 1]], 13/829440], [[[1, 2], [2, 5], [4, 3], [6, 1], [8, 2]], 1/2304], [[[1, 2], [2, 5], [4, 3], [6, 1], [10, 2]], 1/19200], [[[1, 2], [2, 5], [4, 3], [6, 3], [10, 1]], 1/34560], [[[1, 2], [2, 5], [4, 4], [6, 2], [8, 1]], 1/36864], [[[1, 2], [2, 5], [4, 4], [6, 2], [10, 1]], 1/92160], [[[1, 2], [2, 5], [4, 4], [8, 1], [10, 1]], 1/10240], [[[1, 2], [2, 5], [5, 2], [8, 1], [10, 1]], 1/9600], [[[1, 2], [2, 5], [6, 2], [9, 1], [18, 1]], 1/3456], [[[1, 2], [2, 5], [6, 2], [10, 1], [30, 1]], 7/2880], [[[1, 2], [2, 5], [6, 3], [12, 1], [18, 1]], 1/3456], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 5]], 4897/29859840], [[[1, 2], [2, 7], [3, 1], [4, 2], [6, 4]], 1/41472], [[[1, 2], [2, 7], [3, 1], [4, 3], [6, 3]], 13/829440], [[[1, 2], [2, 7], [3, 1], [4, 4], [6, 2]], 1/55296], [[[1, 2], [2, 7], [3, 1], [6, 2], [10, 2]], 1/7200], [[[1, 2], [2, 7], [3, 1], [6, 3], [18, 1]], 23/15552], [[[1, 2], [2, 7], [3, 1], [6, 4], [10, 1]], 43/186624], [[[1, 2], [2, 7], [3, 1], [6, 4], [12, 1]], 1/4608], [[[1, 2], [2, 7], [3, 2], [4, 2], [6, 3]], 191/829440], [[[1, 2], [2, 7], [3, 2], [4, 3], [8, 1]], 1/221184], [[[1, 2], [2, 7], [3, 2], [6, 2], [18, 1]], 1/3456], [[[1, 2], [2, 7], [3, 2], [6, 3], [10, 1]], 1/82944], [[[1, 2], [2, 7], [3, 2], [6, 3], [12, 1]], 1/9216], [[[1, 2], [2, 7], [3, 3], [4, 1], [6, 3]], 1/18432], [[[1, 2], [2, 7], [3, 4], [4, 1], [6, 2]], 5/1990656], [[[1, 2], [2, 7], [4, 1], [5, 2], [10, 1]], 1/38400], [[[1, 2], [2, 7], [4, 1], [6, 2], [10, 2]], 47/115200], [[[1, 2], [2, 7], [4, 1], [6, 4], [10, 1]], 29/138240], [[[1, 2], [2, 7], [4, 2], [6, 1], [10, 2]], 7/23040], [[[1, 2], [2, 7], [4, 2], [6, 3], [10, 1]], 41/207360], [[[1, 2], [2, 7], [4, 3], [5, 1], [8, 1]], 1/61440], [[[1, 2], [2, 7], [4, 3], [6, 2], [10, 1]], 1/11520], [[[1, 2], [2, 7], [4, 4], [6, 1], [8, 1]], 1/9216], [[[1, 2], [2, 7], [4, 4], [6, 1], [10, 1]], 1/36864], [[[1, 2], [2, 9], [3, 1], [4, 1], [6, 4]], 239/3732480], [[[1, 2], [2, 9], [3, 1], [4, 2], [6, 3]], 1/147456], [[[1, 2], [2, 9], [3, 1], [4, 3], [6, 2]], 19/9953280], [[[1, 2], [2, 9], [3, 1], [4, 4], [6, 1]], 1/442368], [[[1, 2], [2, 9], [3, 1], [6, 1], [10, 2]], 77/6912000], [[[1, 2], [2, 9], [3, 1], [6, 3], [10, 1]], 4331/37324800], [[[1, 2], [2, 9], [3, 2], [4, 2], [6, 2]], 479/19906560], [[[1, 2], [2, 9], [3, 2], [6, 2], [10, 1]], 1/3317760], [[[1, 2], [2, 9], [4, 1], [6, 1], [10, 2]], 49/230400], [[[1, 2], [2, 9], [4, 1], [6, 3], [10, 1]], 59/138240], [[[1, 2], [2, 9], [4, 2], [5, 1], [10, 1]], 1/57600], [[[1, 2], [2, 9], [4, 2], [6, 2], [10, 1]], 1231/5529600], [[[1, 2], [2, 9], [4, 3], [6, 1], [10, 1]], 1/38400], [[[1, 2], [2, 11], [3, 1], [4, 1], [6, 3]], 139/14929920], [[[1, 2], [2, 11], [3, 1], [4, 2], [6, 2]], 1/2211840], [[[1, 2], [2, 11], [3, 1], [4, 3], [6, 1]], 31/796262400], [[[1, 2], [2, 11], [3, 1], [6, 2], [10, 1]], 191/18662400], [[[1, 2], [2, 11], [4, 1], [6, 2], [10, 1]], 133/921600], [[[1, 2], [2, 11], [4, 2], [6, 1], [10, 1]], 89/3317760], [[[1, 2], [2, 13], [3, 1], [4, 1], [6, 2]], 223/597196800], [[[1, 2], [2, 13], [3, 1], [4, 2], [6, 1]], 1/132710400], [[[1, 2], [2, 13], [3, 1], [6, 1], [10, 1]], 671/2985984000], [[[1, 2], [2, 13], [4, 1], [6, 1], [10, 1]], 29/2764800], [[[1, 2], [2, 15], [3, 1], [4, 1], [6, 1]], 43/9555148800], [[[1, 3], [2, 2], [3, 1], [6, 2], [9, 2]], 1/20736], [[[1, 3], [2, 2], [3, 1], [9, 2], [12, 1]], 1/3456], [[[1, 3], [2, 2], [3, 2], [4, 1], [9, 2]], 1/1728], [[[1, 3], [2, 2], [3, 2], [4, 3], [6, 4]], 1/165888], [[[1, 3], [2, 2], [3, 2], [4, 3], [8, 2]], 1/9216], [[[1, 3], [2, 2], [3, 2], [6, 1], [9, 2]], 1/3888], [[[1, 3], [2, 2], [3, 3], [4, 2], [6, 4]], 1/124416], [[[1, 3], [2, 2], [3, 3], [5, 1], [15, 1]], 1/5760], [[[1, 3], [2, 2], [3, 3], [6, 4], [8, 1]], 1/15552], [[[1, 3], [2, 2], [3, 3], [9, 1], [18, 1]], 1/6912], [[[1, 3], [2, 2], [3, 5], [4, 2], [6, 2]], 1/124416], [[[1, 3], [2, 2], [3, 5], [4, 3], [6, 1]], 1/497664], [[[1, 3], [2, 2], [4, 3], [5, 1], [8, 2]], 1/2560], [[[1, 3], [2, 2], [6, 3], [9, 1], [18, 1]], 1/3456], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 6]], 1/1679616], [[[1, 3], [2, 4], [3, 1], [4, 1], [10, 3]], 1/36000], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 5]], 13/995328], [[[1, 3], [2, 4], [3, 1], [4, 3], [6, 4]], 1/41472], [[[1, 3], [2, 4], [3, 1], [4, 4], [6, 3]], 1/110592], [[[1, 3], [2, 4], [3, 1], [6, 1], [9, 2]], 1/10368], [[[1, 3], [2, 4], [3, 1], [6, 1], [18, 2]], 5/10368], [[[1, 3], [2, 4], [3, 1], [6, 4], [18, 1]], 1/6912], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 5]], 5/20736], [[[1, 3], [2, 4], [3, 2], [4, 2], [6, 4]], 1/18432], [[[1, 3], [2, 4], [3, 2], [4, 2], [8, 2]], 1/9216], [[[1, 3], [2, 4], [3, 2], [4, 3], [6, 3]], 1/41472], [[[1, 3], [2, 4], [3, 2], [4, 4], [6, 2]], 1/73728], [[[1, 3], [2, 4], [3, 2], [4, 4], [8, 1]], 1/36864], [[[1, 3], [2, 4], [3, 2], [5, 1], [6, 4]], 1/6480], [[[1, 3], [2, 4], [3, 2], [6, 2], [10, 2]], 1/10800], [[[1, 3], [2, 4], [3, 2], [6, 3], [18, 1]], 1/1296], [[[1, 3], [2, 4], [3, 2], [6, 4], [8, 1]], 1/41472], [[[1, 3], [2, 4], [3, 2], [6, 4], [10, 1]], 1/19440], [[[1, 3], [2, 4], [3, 2], [9, 1], [18, 1]], 19/10368], [[[1, 3], [2, 4], [3, 3], [4, 1], [6, 4]], 1/5184], [[[1, 3], [2, 4], [3, 3], [4, 2], [6, 3]], 115/995328], [[[1, 3], [2, 4], [3, 3], [4, 3], [6, 2]], 1/27648], [[[1, 3], [2, 4], [3, 3], [4, 4], [6, 1]], 1/110592], [[[1, 3], [2, 4], [3, 3], [5, 1], [6, 3]], 1/4320], [[[1, 3], [2, 4], [3, 3], [6, 2], [18, 1]], 1/6912], [[[1, 3], [2, 4], [3, 3], [6, 3], [8, 1]], 41/124416], [[[1, 3], [2, 4], [3, 3], [6, 3], [12, 1]], 1/3456], [[[1, 3], [2, 4], [3, 4], [4, 1], [6, 3]], 7/20736], [[[1, 3], [2, 4], [3, 4], [4, 2], [6, 2]], 17/331776], [[[1, 3], [2, 4], [3, 4], [6, 2], [8, 1]], 1/20736], [[[1, 3], [2, 4], [3, 5], [4, 1], [6, 2]], 1/186624], [[[1, 3], [2, 4], [4, 2], [5, 1], [8, 2]], 1/2560], [[[1, 3], [2, 4], [4, 2], [5, 1], [10, 2]], 1/3200], [[[1, 3], [2, 4], [4, 2], [5, 2], [10, 1]], 1/6400], [[[1, 3], [2, 4], [4, 2], [6, 2], [8, 2]], 1/6144], [[[1, 3], [2, 4], [4, 2], [8, 2], [10, 1]], 3/5120], [[[1, 3], [2, 4], [4, 3], [6, 1], [8, 2]], 1/1536], [[[1, 3], [2, 4], [4, 3], [6, 3], [8, 1]], 1/13824], [[[1, 3], [2, 4], [4, 4], [5, 1], [8, 1]], 1/10240], [[[1, 3], [2, 4], [4, 4], [6, 2], [8, 1]], 1/13824], [[[1, 3], [2, 4], [4, 4], [6, 2], [10, 1]], 1/92160], [[[1, 3], [2, 4], [4, 4], [8, 1], [10, 1]], 1/3840], [[[1, 3], [2, 4], [5, 1], [8, 1], [10, 2]], 1/3200], [[[1, 3], [2, 4], [5, 2], [6, 2], [10, 1]], 1/1800], [[[1, 3], [2, 4], [5, 2], [8, 1], [10, 1]], 1/1600], [[[1, 3], [2, 4], [6, 2], [9, 1], [18, 1]], 5/3456], [[[1, 3], [2, 4], [6, 2], [10, 1], [30, 1]], 1/960], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 5]], 9043/22394880], [[[1, 3], [2, 6], [3, 1], [4, 2], [6, 4]], 41/248832], [[[1, 3], [2, 6], [3, 1], [4, 2], [8, 2]], 1/17280], [[[1, 3], [2, 6], [3, 1], [4, 3], [6, 3]], 13/82944], [[[1, 3], [2, 6], [3, 1], [4, 4], [6, 2]], 13/221184], [[[1, 3], [2, 6], [3, 1], [4, 5], [6, 1]], 7/294912], [[[1, 3], [2, 6], [3, 1], [5, 2], [10, 1]], 1/14400], [[[1, 3], [2, 6], [3, 1], [6, 2], [10, 2]], 7/34560], [[[1, 3], [2, 6], [3, 1], [6, 3], [18, 1]], 13/5184], [[[1, 3], [2, 6], [3, 1], [6, 4], [10, 1]], 11/103680], [[[1, 3], [2, 6], [3, 1], [6, 4], [12, 1]], 1/9216], [[[1, 3], [2, 6], [3, 2], [4, 1], [6, 4]], 763/663552], [[[1, 3], [2, 6], [3, 2], [4, 1], [8, 2]], 1/55296], [[[1, 3], [2, 6], [3, 2], [4, 2], [6, 3]], 7/13824], [[[1, 3], [2, 6], [3, 2], [4, 3], [6, 2]], 7/23040], [[[1, 3], [2, 6], [3, 2], [4, 3], [8, 1]], 13/331776], [[[1, 3], [2, 6], [3, 2], [4, 4], [6, 1]], 1/165888], [[[1, 3], [2, 6], [3, 2], [5, 1], [6, 3]], 7/103680], [[[1, 3], [2, 6], [3, 2], [6, 1], [10, 2]], 1/86400], [[[1, 3], [2, 6], [3, 2], [6, 2], [18, 1]], 19/10368], [[[1, 3], [2, 6], [3, 2], [6, 3], [8, 1]], 5/20736], [[[1, 3], [2, 6], [3, 2], [6, 3], [10, 1]], 1/6912], [[[1, 3], [2, 6], [3, 2], [6, 3], [12, 1]], 1/1536], [[[1, 3], [2, 6], [3, 3], [4, 1], [6, 3]], 269/331776], [[[1, 3], [2, 6], [3, 3], [4, 2], [6, 2]], 1/13824], [[[1, 3], [2, 6], [3, 3], [4, 2], [8, 1]], 1/82944], [[[1, 3], [2, 6], [3, 3], [5, 1], [6, 2]], 1/46080], [[[1, 3], [2, 6], [3, 3], [5, 1], [10, 1]], 1/51840], [[[1, 3], [2, 6], [3, 3], [6, 2], [8, 1]], 1/38880], [[[1, 3], [2, 6], [3, 3], [6, 2], [12, 1]], 1/27648], [[[1, 3], [2, 6], [3, 4], [4, 1], [6, 2]], 11/497664], [[[1, 3], [2, 6], [3, 5], [4, 1], [6, 1]], 1/5971968], [[[1, 3], [2, 6], [4, 1], [5, 1], [8, 2]], 1/15360], [[[1, 3], [2, 6], [4, 1], [5, 1], [10, 2]], 1/7680], [[[1, 3], [2, 6], [4, 1], [5, 2], [10, 1]], 1/4800], [[[1, 3], [2, 6], [4, 1], [6, 2], [10, 2]], 1/25600], [[[1, 3], [2, 6], [4, 1], [6, 4], [10, 1]], 1/92160], [[[1, 3], [2, 6], [4, 2], [6, 1], [8, 2]], 5/9216], [[[1, 3], [2, 6], [4, 2], [6, 1], [10, 2]], 11/28800], [[[1, 3], [2, 6], [4, 2], [6, 3], [10, 1]], 11/51840], [[[1, 3], [2, 6], [4, 3], [5, 1], [8, 1]], 13/92160], [[[1, 3], [2, 6], [4, 3], [5, 1], [10, 1]], 1/5120], [[[1, 3], [2, 6], [4, 3], [6, 2], [8, 1]], 25/73728], [[[1, 3], [2, 6], [4, 3], [6, 2], [10, 1]], 7/46080], [[[1, 3], [2, 6], [4, 3], [8, 1], [10, 1]], 11/61440], [[[1, 3], [2, 6], [4, 4], [5, 1], [6, 1]], 1/46080], [[[1, 3], [2, 6], [4, 4], [6, 1], [8, 1]], 25/55296], [[[1, 3], [2, 6], [4, 4], [6, 1], [10, 1]], 7/92160], [[[1, 3], [2, 6], [5, 2], [6, 1], [10, 1]], 1/7200], [[[1, 3], [2, 8], [3, 1], [4, 1], [6, 4]], 8261/22394880], [[[1, 3], [2, 8], [3, 1], [4, 1], [10, 2]], 1/108000], [[[1, 3], [2, 8], [3, 1], [4, 2], [6, 3]], 1231/6635520], [[[1, 3], [2, 8], [3, 1], [4, 3], [6, 2]], 431/1658880], [[[1, 3], [2, 8], [3, 1], [4, 3], [8, 1]], 1/23040], [[[1, 3], [2, 8], [3, 1], [4, 4], [6, 1]], 59/2949120], [[[1, 3], [2, 8], [3, 1], [6, 1], [10, 2]], 221/2764800], [[[1, 3], [2, 8], [3, 1], [6, 3], [10, 1]], 623/1658880], [[[1, 3], [2, 8], [3, 2], [4, 1], [6, 3]], 187/829440], [[[1, 3], [2, 8], [3, 2], [4, 2], [6, 2]], 91/442368], [[[1, 3], [2, 8], [3, 2], [4, 2], [8, 1]], 1/165888], [[[1, 3], [2, 8], [3, 2], [4, 3], [6, 1]], 1/165888], [[[1, 3], [2, 8], [3, 2], [5, 1], [6, 2]], 11/3317760], [[[1, 3], [2, 8], [3, 2], [5, 1], [10, 1]], 1/414720], [[[1, 3], [2, 8], [3, 2], [6, 2], [8, 1]], 23/829440], [[[1, 3], [2, 8], [3, 2], [6, 2], [10, 1]], 109/8294400], [[[1, 3], [2, 8], [3, 3], [4, 1], [6, 2]], 13/184320], [[[1, 3], [2, 8], [3, 3], [4, 2], [6, 1]], 1/147456], [[[1, 3], [2, 8], [4, 1], [6, 1], [10, 2]], 3/6400], [[[1, 3], [2, 8], [4, 1], [6, 3], [10, 1]], 7/11520], [[[1, 3], [2, 8], [4, 2], [5, 1], [8, 1]], 1/46080], [[[1, 3], [2, 8], [4, 2], [5, 1], [10, 1]], 19/115200], [[[1, 3], [2, 8], [4, 2], [6, 2], [10, 1]], 293/368640], [[[1, 3], [2, 8], [4, 3], [6, 1], [8, 1]], 37/184320], [[[1, 3], [2, 8], [4, 3], [6, 1], [10, 1]], 13/46080], [[[1, 3], [2, 8], [5, 1], [8, 1], [10, 1]], 1/76800], [[[1, 3], [2, 10], [3, 1], [4, 1], [6, 3]], 6875/53747712], [[[1, 3], [2, 10], [3, 1], [4, 2], [6, 2]], 89/3981312], [[[1, 3], [2, 10], [3, 1], [4, 3], [6, 1]], 1259/53084160], [[[1, 3], [2, 10], [3, 1], [6, 2], [10, 1]], 23/276480], [[[1, 3], [2, 10], [3, 2], [4, 1], [6, 2]], 13/829440], [[[1, 3], [2, 10], [3, 2], [6, 1], [10, 1]], 1/6220800], [[[1, 3], [2, 10], [4, 1], [5, 1], [10, 1]], 1/110592], [[[1, 3], [2, 10], [4, 1], [6, 2], [10, 1]], 11/19200], [[[1, 3], [2, 10], [4, 2], [6, 1], [10, 1]], 1451/5529600], [[[1, 3], [2, 12], [3, 1], [4, 1], [6, 2]], 8741/895795200], [[[1, 3], [2, 12], [3, 1], [4, 1], [10, 1]], 31/248832000], [[[1, 3], [2, 12], [3, 1], [4, 2], [6, 1]], 793/1592524800], [[[1, 3], [2, 12], [3, 1], [6, 1], [10, 1]], 29/8294400], [[[1, 3], [2, 12], [4, 1], [6, 1], [10, 1]], 157/1843200], [[[1, 3], [2, 14], [3, 1], [4, 1], [6, 1]], 557/2866544640], [[[1, 3], [3, 2], [5, 1], [6, 2], [15, 1]], 1/2160], [[[1, 3], [3, 2], [5, 1], [12, 1], [15, 1]], 1/360], [[[1, 4], [2, 1], [3, 1], [6, 2], [9, 2]], 1/10368], [[[1, 4], [2, 1], [3, 1], [9, 2], [12, 1]], 1/1728], [[[1, 4], [2, 1], [3, 2], [4, 1], [9, 2]], 1/5184], [[[1, 4], [2, 1], [3, 2], [4, 3], [5, 2]], 1/115200], [[[1, 4], [2, 1], [3, 2], [6, 1], [9, 2]], 1/1296], [[[1, 4], [2, 1], [3, 3], [4, 3], [6, 3]], 1/165888], [[[1, 4], [2, 1], [3, 3], [5, 1], [15, 1]], 1/320], [[[1, 4], [2, 1], [3, 3], [6, 3], [9, 1]], 1/2592], [[[1, 4], [2, 1], [3, 4], [4, 3], [5, 1]], 1/414720], [[[1, 4], [2, 1], [3, 4], [6, 3], [8, 1]], 1/5184], [[[1, 4], [2, 1], [3, 5], [4, 1], [9, 1]], 1/10368], [[[1, 4], [2, 1], [3, 5], [6, 1], [9, 1]], 1/2592], [[[1, 4], [2, 1], [3, 6], [4, 2], [6, 1]], 1/373248], [[[1, 4], [2, 1], [6, 3], [9, 1], [18, 1]], 1/20736], [[[1, 4], [2, 3], [3, 1], [4, 3], [8, 2]], 1/1536], [[[1, 4], [2, 3], [3, 1], [4, 4], [6, 3]], 1/110592], [[[1, 4], [2, 3], [3, 1], [6, 1], [9, 2]], 5/10368], [[[1, 4], [2, 3], [3, 1], [6, 1], [18, 2]], 1/10368], [[[1, 4], [2, 3], [3, 2], [4, 1], [6, 5]], 1/186624], [[[1, 4], [2, 3], [3, 2], [4, 2], [6, 4]], 17/331776], [[[1, 4], [2, 3], [3, 2], [4, 2], [8, 2]], 1/6144], [[[1, 4], [2, 3], [3, 2], [4, 3], [6, 3]], 1/27648], [[[1, 4], [2, 3], [3, 2], [4, 4], [5, 1]], 1/92160], [[[1, 4], [2, 3], [3, 2], [4, 4], [6, 2]], 1/73728], [[[1, 4], [2, 3], [3, 2], [4, 4], [8, 1]], 1/13824], [[[1, 4], [2, 3], [3, 2], [5, 1], [10, 2]], 1/1800], [[[1, 4], [2, 3], [3, 2], [5, 1], [15, 1]], 1/960], [[[1, 4], [2, 3], [3, 2], [5, 2], [6, 2]], 1/10800], [[[1, 4], [2, 3], [3, 2], [6, 3], [9, 1]], 1/6912], [[[1, 4], [2, 3], [3, 2], [6, 4], [8, 1]], 1/20736], [[[1, 4], [2, 3], [3, 2], [9, 1], [18, 1]], 5/3456], [[[1, 4], [2, 3], [3, 3], [4, 1], [6, 4]], 7/20736], [[[1, 4], [2, 3], [3, 3], [4, 2], [6, 3]], 115/995328], [[[1, 4], [2, 3], [3, 3], [4, 3], [6, 2]], 1/41472], [[[1, 4], [2, 3], [3, 3], [4, 3], [8, 1]], 1/13824], [[[1, 4], [2, 3], [3, 3], [4, 4], [6, 1]], 1/110592], [[[1, 4], [2, 3], [3, 3], [6, 2], [9, 1]], 1/1296], [[[1, 4], [2, 3], [3, 3], [6, 3], [8, 1]], 41/124416], [[[1, 4], [2, 3], [3, 3], [6, 3], [10, 1]], 1/4320], [[[1, 4], [2, 3], [3, 3], [6, 3], [12, 1]], 1/3456], [[[1, 4], [2, 3], [3, 4], [4, 1], [6, 3]], 1/5184], [[[1, 4], [2, 3], [3, 4], [4, 2], [6, 2]], 1/18432], [[[1, 4], [2, 3], [3, 4], [4, 3], [6, 1]], 1/41472], [[[1, 4], [2, 3], [3, 4], [5, 1], [6, 2]], 1/19440], [[[1, 4], [2, 3], [3, 4], [6, 1], [9, 1]], 1/6912], [[[1, 4], [2, 3], [3, 4], [6, 2], [8, 1]], 1/41472], [[[1, 4], [2, 3], [3, 4], [6, 2], [10, 1]], 1/6480], [[[1, 4], [2, 3], [3, 5], [4, 1], [6, 2]], 5/20736], [[[1, 4], [2, 3], [3, 5], [4, 2], [6, 1]], 13/995328], [[[1, 4], [2, 3], [3, 6], [4, 1], [6, 1]], 1/1679616], [[[1, 4], [2, 3], [4, 1], [5, 3], [6, 1]], 1/36000], [[[1, 4], [2, 3], [4, 2], [5, 1], [8, 2]], 3/5120], [[[1, 4], [2, 3], [4, 2], [5, 1], [10, 2]], 1/6400], [[[1, 4], [2, 3], [4, 2], [5, 2], [10, 1]], 1/3200], [[[1, 4], [2, 3], [4, 2], [6, 2], [8, 2]], 1/9216], [[[1, 4], [2, 3], [4, 2], [8, 2], [10, 1]], 1/2560], [[[1, 4], [2, 3], [4, 4], [5, 1], [8, 1]], 1/3840], [[[1, 4], [2, 3], [4, 4], [6, 2], [8, 1]], 1/36864], [[[1, 4], [2, 3], [4, 4], [8, 1], [10, 1]], 1/10240], [[[1, 4], [2, 3], [5, 1], [8, 1], [10, 2]], 1/1600], [[[1, 4], [2, 3], [5, 2], [8, 1], [10, 1]], 1/3200], [[[1, 4], [2, 3], [6, 2], [9, 1], [18, 1]], 19/10368], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 5]], 59/2985984], [[[1, 4], [2, 5], [3, 1], [4, 2], [6, 4]], 23/82944], [[[1, 4], [2, 5], [3, 1], [4, 2], [8, 2]], 11/27648], [[[1, 4], [2, 5], [3, 1], [4, 2], [10, 2]], 1/19200], [[[1, 4], [2, 5], [3, 1], [4, 3], [6, 3]], 11/55296], [[[1, 4], [2, 5], [3, 1], [4, 4], [6, 2]], 5/36864], [[[1, 4], [2, 5], [3, 1], [4, 4], [8, 1]], 1/2048], [[[1, 4], [2, 5], [3, 1], [4, 4], [10, 1]], 1/15360], [[[1, 4], [2, 5], [3, 1], [4, 5], [6, 1]], 7/98304], [[[1, 4], [2, 5], [3, 1], [5, 1], [10, 2]], 1/3600], [[[1, 4], [2, 5], [3, 1], [5, 2], [6, 2]], 1/28800], [[[1, 4], [2, 5], [3, 1], [5, 2], [10, 1]], 1/2400], [[[1, 4], [2, 5], [3, 1], [6, 2], [10, 2]], 1/21600], [[[1, 4], [2, 5], [3, 1], [6, 3], [18, 1]], 5/5184], [[[1, 4], [2, 5], [3, 1], [6, 4], [10, 1]], 7/311040], [[[1, 4], [2, 5], [3, 2], [4, 1], [5, 2]], 1/1382400], [[[1, 4], [2, 5], [3, 2], [4, 1], [6, 4]], 2251/1492992], [[[1, 4], [2, 5], [3, 2], [4, 1], [8, 2]], 1/9216], [[[1, 4], [2, 5], [3, 2], [4, 2], [6, 3]], 187/165888], [[[1, 4], [2, 5], [3, 2], [4, 3], [6, 2]], 157/248832], [[[1, 4], [2, 5], [3, 2], [4, 3], [8, 1]], 7/55296], [[[1, 4], [2, 5], [3, 2], [4, 4], [6, 1]], 59/663552], [[[1, 4], [2, 5], [3, 2], [5, 1], [6, 3]], 1/3456], [[[1, 4], [2, 5], [3, 2], [5, 2], [6, 1]], 1/345600], [[[1, 4], [2, 5], [3, 2], [6, 1], [10, 2]], 1/14400], [[[1, 4], [2, 5], [3, 2], [6, 2], [9, 1]], 1/3456], [[[1, 4], [2, 5], [3, 2], [6, 2], [18, 1]], 5/3456], [[[1, 4], [2, 5], [3, 2], [6, 3], [8, 1]], 1/5184], [[[1, 4], [2, 5], [3, 2], [6, 3], [10, 1]], 67/207360], [[[1, 4], [2, 5], [3, 2], [6, 3], [12, 1]], 1/2304], [[[1, 4], [2, 5], [3, 3], [4, 1], [6, 3]], 3901/1990656], [[[1, 4], [2, 5], [3, 3], [4, 2], [6, 2]], 37/41472], [[[1, 4], [2, 5], [3, 3], [4, 2], [8, 1]], 1/13824], [[[1, 4], [2, 5], [3, 3], [4, 3], [6, 1]], 7/62208], [[[1, 4], [2, 5], [3, 3], [5, 1], [6, 2]], 17/103680], [[[1, 4], [2, 5], [3, 3], [5, 1], [10, 1]], 1/8640], [[[1, 4], [2, 5], [3, 3], [6, 2], [8, 1]], 5/20736], [[[1, 4], [2, 5], [3, 3], [6, 2], [10, 1]], 1/11520], [[[1, 4], [2, 5], [3, 3], [6, 2], [12, 1]], 1/4608], [[[1, 4], [2, 5], [3, 4], [4, 1], [5, 1]], 1/4976640], [[[1, 4], [2, 5], [3, 4], [4, 1], [6, 2]], 85/331776], [[[1, 4], [2, 5], [3, 4], [4, 2], [6, 1]], 1/248832], [[[1, 4], [2, 5], [3, 4], [5, 1], [6, 1]], 1/622080], [[[1, 4], [2, 5], [3, 5], [4, 1], [6, 1]], 1/497664], [[[1, 4], [2, 5], [4, 1], [5, 1], [8, 2]], 1/2560], [[[1, 4], [2, 5], [4, 1], [5, 1], [10, 2]], 1/1600], [[[1, 4], [2, 5], [4, 1], [5, 2], [10, 1]], 3/6400], [[[1, 4], [2, 5], [4, 1], [6, 2], [8, 2]], 1/18432], [[[1, 4], [2, 5], [4, 1], [6, 2], [10, 2]], 1/115200], [[[1, 4], [2, 5], [4, 1], [6, 4], [10, 1]], 1/414720], [[[1, 4], [2, 5], [4, 1], [8, 2], [10, 1]], 1/5120], [[[1, 4], [2, 5], [4, 2], [5, 2], [6, 1]], 1/19200], [[[1, 4], [2, 5], [4, 2], [6, 1], [8, 2]], 5/4608], [[[1, 4], [2, 5], [4, 2], [6, 3], [8, 1]], 1/9216], [[[1, 4], [2, 5], [4, 3], [5, 1], [6, 2]], 1/17280], [[[1, 4], [2, 5], [4, 3], [5, 1], [8, 1]], 7/15360], [[[1, 4], [2, 5], [4, 3], [5, 1], [10, 1]], 3/5120], [[[1, 4], [2, 5], [4, 3], [6, 2], [8, 1]], 73/110592], [[[1, 4], [2, 5], [4, 3], [6, 2], [10, 1]], 1/13824], [[[1, 4], [2, 5], [4, 3], [8, 1], [10, 1]], 5/6144], [[[1, 4], [2, 5], [4, 4], [5, 1], [6, 1]], 1/23040], [[[1, 4], [2, 5], [4, 4], [6, 1], [8, 1]], 1/1152], [[[1, 4], [2, 5], [4, 4], [6, 1], [10, 1]], 17/184320], [[[1, 4], [2, 5], [5, 1], [6, 1], [10, 2]], 1/4800], [[[1, 4], [2, 5], [5, 1], [6, 3], [10, 1]], 1/17280], [[[1, 4], [2, 5], [5, 2], [6, 1], [10, 1]], 1/1200], [[[1, 4], [2, 7], [3, 1], [4, 1], [6, 4]], 211/373248], [[[1, 4], [2, 7], [3, 1], [4, 1], [8, 2]], 1/17280], [[[1, 4], [2, 7], [3, 1], [4, 1], [10, 2]], 1/14400], [[[1, 4], [2, 7], [3, 1], [4, 2], [6, 3]], 4997/3981312], [[[1, 4], [2, 7], [3, 1], [4, 3], [5, 1]], 1/138240], [[[1, 4], [2, 7], [3, 1], [4, 3], [6, 2]], 1/1024], [[[1, 4], [2, 7], [3, 1], [4, 3], [8, 1]], 589/1658880], [[[1, 4], [2, 7], [3, 1], [4, 4], [6, 1]], 1189/2949120], [[[1, 4], [2, 7], [3, 1], [5, 2], [6, 1]], 1/921600], [[[1, 4], [2, 7], [3, 1], [6, 1], [10, 2]], 119/691200], [[[1, 4], [2, 7], [3, 1], [6, 3], [10, 1]], 443/1244160], [[[1, 4], [2, 7], [3, 2], [4, 1], [6, 3]], 6103/4976640], [[[1, 4], [2, 7], [3, 2], [4, 2], [5, 1]], 1/1105920], [[[1, 4], [2, 7], [3, 2], [4, 2], [6, 2]], 9751/6635520], [[[1, 4], [2, 7], [3, 2], [4, 2], [8, 1]], 169/1658880], [[[1, 4], [2, 7], [3, 2], [4, 3], [6, 1]], 67/995328], [[[1, 4], [2, 7], [3, 2], [5, 1], [6, 2]], 23/552960], [[[1, 4], [2, 7], [3, 2], [5, 1], [10, 1]], 47/518400], [[[1, 4], [2, 7], [3, 2], [6, 2], [8, 1]], 151/829440], [[[1, 4], [2, 7], [3, 2], [6, 2], [10, 1]], 373/3317760], [[[1, 4], [2, 7], [3, 3], [4, 1], [6, 2]], 1357/2488320], [[[1, 4], [2, 7], [3, 3], [4, 1], [8, 1]], 1/82944], [[[1, 4], [2, 7], [3, 3], [4, 2], [6, 1]], 77/1327104], [[[1, 4], [2, 7], [3, 3], [5, 1], [6, 1]], 1/1658880], [[[1, 4], [2, 7], [3, 3], [6, 1], [8, 1]], 1/124416], [[[1, 4], [2, 7], [3, 4], [4, 1], [6, 1]], 1/55296], [[[1, 4], [2, 7], [4, 1], [6, 1], [8, 2]], 1/9216], [[[1, 4], [2, 7], [4, 1], [6, 1], [10, 2]], 29/115200], [[[1, 4], [2, 7], [4, 1], [6, 3], [10, 1]], 29/207360], [[[1, 4], [2, 7], [4, 2], [5, 1], [8, 1]], 7/30720], [[[1, 4], [2, 7], [4, 2], [5, 1], [10, 1]], 139/230400], [[[1, 4], [2, 7], [4, 2], [6, 2], [8, 1]], 43/110592], [[[1, 4], [2, 7], [4, 2], [6, 2], [10, 1]], 155/221184], [[[1, 4], [2, 7], [4, 2], [8, 1], [10, 1]], 1/10240], [[[1, 4], [2, 7], [4, 3], [5, 1], [6, 1]], 31/276480], [[[1, 4], [2, 7], [4, 3], [6, 1], [8, 1]], 35/27648], [[[1, 4], [2, 7], [4, 3], [6, 1], [10, 1]], 17/27648], [[[1, 4], [2, 7], [5, 1], [6, 2], [10, 1]], 17/138240], [[[1, 4], [2, 7], [5, 1], [8, 1], [10, 1]], 31/230400], [[[1, 4], [2, 9], [3, 1], [4, 1], [6, 3]], 1007/1866240], [[[1, 4], [2, 9], [3, 1], [4, 2], [6, 2]], 643/1327104], [[[1, 4], [2, 9], [3, 1], [4, 2], [8, 1]], 89/1658880], [[[1, 4], [2, 9], [3, 1], [4, 2], [10, 1]], 17/2764800], [[[1, 4], [2, 9], [3, 1], [4, 3], [6, 1]], 2047/8847360], [[[1, 4], [2, 9], [3, 1], [5, 1], [10, 1]], 17/1036800], [[[1, 4], [2, 9], [3, 1], [6, 2], [10, 1]], 563/2073600], [[[1, 4], [2, 9], [3, 2], [4, 1], [6, 2]], 2641/14929920], [[[1, 4], [2, 9], [3, 2], [4, 1], [8, 1]], 1/663552], [[[1, 4], [2, 9], [3, 2], [4, 2], [6, 1]], 13/163840], [[[1, 4], [2, 9], [3, 2], [6, 1], [10, 1]], 7/2073600], [[[1, 4], [2, 9], [3, 3], [4, 1], [6, 1]], 1/221184], [[[1, 4], [2, 9], [4, 1], [5, 1], [8, 1]], 1/184320], [[[1, 4], [2, 9], [4, 1], [5, 1], [10, 1]], 109/921600], [[[1, 4], [2, 9], [4, 1], [6, 2], [10, 1]], 779/921600], [[[1, 4], [2, 9], [4, 2], [6, 1], [8, 1]], 59/552960], [[[1, 4], [2, 9], [4, 2], [6, 1], [10, 1]], 443/552960], [[[1, 4], [2, 9], [5, 1], [6, 1], [10, 1]], 1/43200], [[[1, 4], [2, 11], [3, 1], [4, 1], [6, 2]], 1033/11943936], [[[1, 4], [2, 11], [3, 1], [4, 1], [10, 1]], 23/8294400], [[[1, 4], [2, 11], [3, 1], [4, 2], [6, 1]], 1021/35389440], [[[1, 4], [2, 11], [3, 1], [6, 1], [10, 1]], 607/24883200], [[[1, 4], [2, 11], [3, 2], [4, 1], [6, 1]], 31/298598400], [[[1, 4], [2, 11], [4, 1], [6, 1], [10, 1]], 631/2073600], [[[1, 4], [2, 13], [3, 1], [4, 1], [6, 1]], 29243/9555148800], [[[1, 5], [2, 2], [3, 1], [4, 3], [5, 2]], 1/19200], [[[1, 5], [2, 2], [3, 1], [4, 3], [8, 2]], 1/2304], [[[1, 5], [2, 2], [3, 1], [5, 3], [6, 1]], 1/27000], [[[1, 5], [2, 2], [3, 1], [6, 1], [9, 2]], 19/31104], [[[1, 5], [2, 2], [3, 2], [4, 2], [5, 2]], 13/230400], [[[1, 5], [2, 2], [3, 2], [4, 4], [5, 1]], 1/92160], [[[1, 5], [2, 2], [3, 2], [4, 4], [6, 2]], 1/73728], [[[1, 5], [2, 2], [3, 2], [4, 4], [8, 1]], 1/36864], [[[1, 5], [2, 2], [3, 2], [5, 1], [15, 1]], 7/2880], [[[1, 5], [2, 2], [3, 2], [6, 3], [9, 1]], 1/3456], [[[1, 5], [2, 2], [3, 2], [6, 4], [8, 1]], 1/124416], [[[1, 5], [2, 2], [3, 2], [9, 1], [18, 1]], 1/3456], [[[1, 5], [2, 2], [3, 3], [4, 1], [6, 4]], 1/31104], [[[1, 5], [2, 2], [3, 3], [4, 2], [6, 3]], 25/331776], [[[1, 5], [2, 2], [3, 3], [4, 3], [5, 1]], 1/34560], [[[1, 5], [2, 2], [3, 3], [5, 2], [6, 1]], 1/32400], [[[1, 5], [2, 2], [3, 3], [6, 2], [9, 1]], 49/20736], [[[1, 5], [2, 2], [3, 3], [6, 3], [8, 1]], 1/6912], [[[1, 5], [2, 2], [3, 3], [9, 1], [12, 1]], 1/3456], [[[1, 5], [2, 2], [3, 4], [4, 1], [6, 3]], 11/82944], [[[1, 5], [2, 2], [3, 4], [4, 1], [9, 1]], 1/1728], [[[1, 5], [2, 2], [3, 4], [4, 2], [5, 1]], 13/829440], [[[1, 5], [2, 2], [3, 4], [4, 2], [6, 2]], 7/331776], [[[1, 5], [2, 2], [3, 4], [4, 3], [6, 1]], 1/62208], [[[1, 5], [2, 2], [3, 4], [5, 1], [6, 2]], 1/12960], [[[1, 5], [2, 2], [3, 4], [6, 1], [9, 1]], 89/31104], [[[1, 5], [2, 2], [3, 4], [6, 2], [12, 1]], 1/1152], [[[1, 5], [2, 2], [3, 5], [4, 2], [6, 1]], 1/55296], [[[1, 5], [2, 2], [3, 5], [5, 1], [6, 1]], 1/116640], [[[1, 5], [2, 2], [3, 6], [4, 1], [6, 1]], 43/746496], [[[1, 5], [2, 2], [4, 2], [5, 2], [10, 1]], 1/6400], [[[1, 5], [2, 2], [4, 2], [6, 2], [8, 2]], 1/55296], [[[1, 5], [2, 2], [4, 2], [8, 2], [10, 1]], 1/15360], [[[1, 5], [2, 2], [4, 4], [5, 1], [8, 1]], 1/10240], [[[1, 5], [2, 2], [5, 1], [8, 1], [10, 2]], 1/9600], [[[1, 5], [2, 2], [6, 2], [9, 1], [18, 1]], 1/3456], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 5]], 1/497664], [[[1, 5], [2, 4], [3, 1], [4, 2], [6, 4]], 1/248832], [[[1, 5], [2, 4], [3, 1], [4, 2], [8, 2]], 5/4608], [[[1, 5], [2, 4], [3, 1], [4, 2], [10, 2]], 1/19200], [[[1, 5], [2, 4], [3, 1], [4, 3], [6, 3]], 7/62208], [[[1, 5], [2, 4], [3, 1], [4, 4], [5, 1]], 17/184320], [[[1, 5], [2, 4], [3, 1], [4, 4], [6, 2]], 59/663552], [[[1, 5], [2, 4], [3, 1], [4, 4], [8, 1]], 1/1152], [[[1, 5], [2, 4], [3, 1], [4, 4], [10, 1]], 1/23040], [[[1, 5], [2, 4], [3, 1], [4, 5], [6, 1]], 7/98304], [[[1, 5], [2, 4], [3, 1], [5, 1], [10, 2]], 1/1200], [[[1, 5], [2, 4], [3, 1], [5, 2], [6, 2]], 1/14400], [[[1, 5], [2, 4], [3, 1], [5, 2], [10, 1]], 1/4800], [[[1, 5], [2, 4], [3, 1], [6, 2], [10, 2]], 1/345600], [[[1, 5], [2, 4], [3, 1], [6, 4], [10, 1]], 1/622080], [[[1, 5], [2, 4], [3, 2], [4, 1], [5, 2]], 1/115200], [[[1, 5], [2, 4], [3, 2], [4, 1], [6, 4]], 85/331776], [[[1, 5], [2, 4], [3, 2], [4, 1], [8, 2]], 1/18432], [[[1, 5], [2, 4], [3, 2], [4, 2], [6, 3]], 37/41472], [[[1, 5], [2, 4], [3, 2], [4, 3], [5, 1]], 1/13824], [[[1, 5], [2, 4], [3, 2], [4, 3], [6, 2]], 157/248832], [[[1, 5], [2, 4], [3, 2], [4, 3], [8, 1]], 73/110592], [[[1, 5], [2, 4], [3, 2], [4, 3], [10, 1]], 1/17280], [[[1, 5], [2, 4], [3, 2], [4, 4], [6, 1]], 5/36864], [[[1, 5], [2, 4], [3, 2], [5, 1], [6, 3]], 1/11520], [[[1, 5], [2, 4], [3, 2], [5, 2], [6, 1]], 1/21600], [[[1, 5], [2, 4], [3, 2], [6, 1], [10, 2]], 1/28800], [[[1, 5], [2, 4], [3, 2], [6, 2], [9, 1]], 5/3456], [[[1, 5], [2, 4], [3, 2], [6, 2], [18, 1]], 1/3456], [[[1, 5], [2, 4], [3, 2], [6, 3], [8, 1]], 5/20736], [[[1, 5], [2, 4], [3, 2], [6, 3], [10, 1]], 17/103680], [[[1, 5], [2, 4], [3, 2], [6, 3], [12, 1]], 1/4608], [[[1, 5], [2, 4], [3, 3], [4, 1], [6, 3]], 3901/1990656], [[[1, 5], [2, 4], [3, 3], [4, 2], [6, 2]], 187/165888], [[[1, 5], [2, 4], [3, 3], [4, 2], [8, 1]], 1/9216], [[[1, 5], [2, 4], [3, 3], [4, 3], [6, 1]], 11/55296], [[[1, 5], [2, 4], [3, 3], [5, 1], [6, 2]], 67/207360], [[[1, 5], [2, 4], [3, 3], [5, 1], [10, 1]], 1/17280], [[[1, 5], [2, 4], [3, 3], [6, 1], [9, 1]], 5/5184], [[[1, 5], [2, 4], [3, 3], [6, 2], [8, 1]], 1/5184], [[[1, 5], [2, 4], [3, 3], [6, 2], [10, 1]], 1/3456], [[[1, 5], [2, 4], [3, 3], [6, 2], [12, 1]], 1/2304], [[[1, 5], [2, 4], [3, 4], [4, 1], [5, 1]], 1/414720], [[[1, 5], [2, 4], [3, 4], [4, 1], [6, 2]], 2251/1492992], [[[1, 5], [2, 4], [3, 4], [4, 2], [6, 1]], 23/82944], [[[1, 5], [2, 4], [3, 4], [5, 1], [6, 1]], 7/311040], [[[1, 5], [2, 4], [3, 5], [4, 1], [6, 1]], 59/2985984], [[[1, 5], [2, 4], [4, 1], [5, 1], [8, 2]], 1/5120], [[[1, 5], [2, 4], [4, 1], [5, 1], [10, 2]], 3/6400], [[[1, 5], [2, 4], [4, 1], [5, 2], [10, 1]], 1/1600], [[[1, 5], [2, 4], [4, 1], [6, 2], [8, 2]], 1/9216], [[[1, 5], [2, 4], [4, 1], [6, 2], [10, 2]], 1/1382400], [[[1, 5], [2, 4], [4, 1], [6, 4], [10, 1]], 1/4976640], [[[1, 5], [2, 4], [4, 1], [8, 2], [10, 1]], 1/2560], [[[1, 5], [2, 4], [4, 2], [5, 2], [6, 1]], 1/19200], [[[1, 5], [2, 4], [4, 2], [6, 1], [8, 2]], 11/27648], [[[1, 5], [2, 4], [4, 2], [6, 3], [8, 1]], 1/13824], [[[1, 5], [2, 4], [4, 3], [5, 1], [8, 1]], 5/6144], [[[1, 5], [2, 4], [4, 3], [5, 1], [10, 1]], 3/5120], [[[1, 5], [2, 4], [4, 3], [6, 2], [8, 1]], 7/55296], [[[1, 5], [2, 4], [4, 3], [8, 1], [10, 1]], 7/15360], [[[1, 5], [2, 4], [4, 4], [5, 1], [6, 1]], 1/15360], [[[1, 5], [2, 4], [4, 4], [6, 1], [8, 1]], 1/2048], [[[1, 5], [2, 4], [5, 1], [6, 1], [10, 2]], 1/2400], [[[1, 5], [2, 4], [5, 1], [6, 3], [10, 1]], 1/8640], [[[1, 5], [2, 4], [5, 2], [6, 1], [10, 1]], 1/3600], [[[1, 5], [2, 6], [3, 1], [4, 1], [5, 2]], 1/230400], [[[1, 5], [2, 6], [3, 1], [4, 1], [6, 4]], 7/27648], [[[1, 5], [2, 6], [3, 1], [4, 1], [8, 2]], 11/27648], [[[1, 5], [2, 6], [3, 1], [4, 1], [10, 2]], 1/9600], [[[1, 5], [2, 6], [3, 1], [4, 2], [6, 3]], 5525/3981312], [[[1, 5], [2, 6], [3, 1], [4, 3], [5, 1]], 1/23040], [[[1, 5], [2, 6], [3, 1], [4, 3], [6, 2]], 311/165888], [[[1, 5], [2, 6], [3, 1], [4, 3], [8, 1]], 283/207360], [[[1, 5], [2, 6], [3, 1], [4, 3], [10, 1]], 71/276480], [[[1, 5], [2, 6], [3, 1], [4, 4], [6, 1]], 53/49152], [[[1, 5], [2, 6], [3, 1], [5, 1], [6, 3]], 1/6480], [[[1, 5], [2, 6], [3, 1], [5, 2], [6, 1]], 7/460800], [[[1, 5], [2, 6], [3, 1], [6, 1], [10, 2]], 17/184320], [[[1, 5], [2, 6], [3, 1], [6, 3], [8, 1]], 1/41472], [[[1, 5], [2, 6], [3, 1], [6, 3], [10, 1]], 551/4976640], [[[1, 5], [2, 6], [3, 2], [4, 1], [6, 3]], 169/82944], [[[1, 5], [2, 6], [3, 2], [4, 2], [5, 1]], 13/1105920], [[[1, 5], [2, 6], [3, 2], [4, 2], [6, 2]], 3691/1327104], [[[1, 5], [2, 6], [3, 2], [4, 2], [8, 1]], 17/36864], [[[1, 5], [2, 6], [3, 2], [4, 3], [6, 1]], 2417/1990656], [[[1, 5], [2, 6], [3, 2], [5, 1], [6, 2]], 3/8192], [[[1, 5], [2, 6], [3, 2], [5, 1], [10, 1]], 1/1920], [[[1, 5], [2, 6], [3, 2], [6, 2], [8, 1]], 61/138240], [[[1, 5], [2, 6], [3, 2], [6, 2], [10, 1]], 247/829440], [[[1, 5], [2, 6], [3, 3], [4, 1], [5, 1]], 1/414720], [[[1, 5], [2, 6], [3, 3], [4, 1], [6, 2]], 4267/2488320], [[[1, 5], [2, 6], [3, 3], [4, 1], [8, 1]], 1/13824], [[[1, 5], [2, 6], [3, 3], [4, 2], [6, 1]], 13/49152], [[[1, 5], [2, 6], [3, 3], [5, 1], [6, 1]], 11/829440], [[[1, 5], [2, 6], [3, 3], [6, 1], [8, 1]], 1/20736], [[[1, 5], [2, 6], [3, 4], [4, 1], [6, 1]], 31/248832], [[[1, 5], [2, 6], [4, 1], [5, 2], [6, 1]], 1/28800], [[[1, 5], [2, 6], [4, 1], [6, 1], [8, 2]], 1/2304], [[[1, 5], [2, 6], [4, 1], [6, 1], [10, 2]], 19/345600], [[[1, 5], [2, 6], [4, 1], [6, 3], [8, 1]], 1/27648], [[[1, 5], [2, 6], [4, 1], [6, 3], [10, 1]], 19/622080], [[[1, 5], [2, 6], [4, 2], [5, 1], [6, 2]], 1/5760], [[[1, 5], [2, 6], [4, 2], [5, 1], [8, 1]], 13/18432], [[[1, 5], [2, 6], [4, 2], [5, 1], [10, 1]], 7/5120], [[[1, 5], [2, 6], [4, 2], [6, 2], [8, 1]], 101/110592], [[[1, 5], [2, 6], [4, 2], [6, 2], [10, 1]], 79/1105920], [[[1, 5], [2, 6], [4, 2], [8, 1], [10, 1]], 7/10240], [[[1, 5], [2, 6], [4, 3], [5, 1], [6, 1]], 13/46080], [[[1, 5], [2, 6], [4, 3], [6, 1], [8, 1]], 127/55296], [[[1, 5], [2, 6], [4, 3], [6, 1], [10, 1]], 31/61440], [[[1, 5], [2, 6], [5, 1], [6, 2], [10, 1]], 1/1920], [[[1, 5], [2, 6], [5, 1], [8, 1], [10, 1]], 139/345600], [[[1, 5], [2, 8], [3, 1], [4, 1], [6, 3]], 11491/9953280], [[[1, 5], [2, 8], [3, 1], [4, 2], [5, 1]], 19/737280], [[[1, 5], [2, 8], [3, 1], [4, 2], [6, 2]], 7139/3317760], [[[1, 5], [2, 8], [3, 1], [4, 2], [8, 1]], 817/1658880], [[[1, 5], [2, 8], [3, 1], [4, 2], [10, 1]], 19/345600], [[[1, 5], [2, 8], [3, 1], [4, 3], [6, 1]], 33023/26542080], [[[1, 5], [2, 8], [3, 1], [5, 1], [6, 2]], 19/414720], [[[1, 5], [2, 8], [3, 1], [5, 1], [10, 1]], 49/259200], [[[1, 5], [2, 8], [3, 1], [6, 2], [8, 1]], 11/207360], [[[1, 5], [2, 8], [3, 1], [6, 2], [10, 1]], 1501/4147200], [[[1, 5], [2, 8], [3, 2], [4, 1], [5, 1]], 1/1658880], [[[1, 5], [2, 8], [3, 2], [4, 1], [6, 2]], 385/331776], [[[1, 5], [2, 8], [3, 2], [4, 1], [8, 1]], 11/184320], [[[1, 5], [2, 8], [3, 2], [4, 2], [6, 1]], 857/1327104], [[[1, 5], [2, 8], [3, 2], [5, 1], [6, 1]], 1/46080], [[[1, 5], [2, 8], [3, 2], [6, 1], [8, 1]], 1/38880], [[[1, 5], [2, 8], [3, 2], [6, 1], [10, 1]], 23/1036800], [[[1, 5], [2, 8], [3, 3], [4, 1], [6, 1]], 43/414720], [[[1, 5], [2, 8], [4, 1], [5, 1], [8, 1]], 7/92160], [[[1, 5], [2, 8], [4, 1], [5, 1], [10, 1]], 161/307200], [[[1, 5], [2, 8], [4, 1], [6, 2], [8, 1]], 17/221184], [[[1, 5], [2, 8], [4, 1], [6, 2], [10, 1]], 1799/4147200], [[[1, 5], [2, 8], [4, 1], [8, 1], [10, 1]], 1/61440], [[[1, 5], [2, 8], [4, 2], [5, 1], [6, 1]], 17/184320], [[[1, 5], [2, 8], [4, 2], [6, 1], [8, 1]], 511/552960], [[[1, 5], [2, 8], [4, 2], [6, 1], [10, 1]], 973/1105920], [[[1, 5], [2, 8], [5, 1], [6, 1], [10, 1]], 3/12800], [[[1, 5], [2, 10], [3, 1], [4, 1], [6, 2]], 4117/9953280], [[[1, 5], [2, 10], [3, 1], [4, 1], [8, 1]], 17/1658880], [[[1, 5], [2, 10], [3, 1], [4, 1], [10, 1]], 113/5529600], [[[1, 5], [2, 10], [3, 1], [4, 2], [6, 1]], 46283/159252480], [[[1, 5], [2, 10], [3, 1], [5, 1], [6, 1]], 7/2654208], [[[1, 5], [2, 10], [3, 1], [6, 1], [8, 1]], 7/1658880], [[[1, 5], [2, 10], [3, 1], [6, 1], [10, 1]], 1633/19906560], [[[1, 5], [2, 10], [3, 2], [4, 1], [6, 1]], 191/4423680], [[[1, 5], [2, 10], [4, 1], [6, 1], [8, 1]], 1/69120], [[[1, 5], [2, 10], [4, 1], [6, 1], [10, 1]], 12589/24883200], [[[1, 5], [2, 12], [3, 1], [4, 1], [6, 1]], 1069/39321600], [[[1, 5], [3, 1], [5, 1], [6, 2], [15, 1]], 1/17280], [[[1, 5], [3, 1], [5, 1], [12, 1], [15, 1]], 1/2880], [[[1, 5], [3, 3], [4, 2], [6, 2], [12, 1]], 1/6912], [[[1, 6], [2, 1], [3, 1], [4, 1], [5, 3]], 1/9000], [[[1, 6], [2, 1], [3, 1], [4, 3], [5, 2]], 1/28800], [[[1, 6], [2, 1], [3, 1], [6, 1], [9, 2]], 1/10368], [[[1, 6], [2, 1], [3, 2], [4, 2], [5, 2]], 1/23040], [[[1, 6], [2, 1], [3, 2], [5, 1], [15, 1]], 1/960], [[[1, 6], [2, 1], [3, 2], [6, 3], [9, 1]], 1/20736], [[[1, 6], [2, 1], [3, 3], [4, 1], [5, 2]], 1/10800], [[[1, 6], [2, 1], [3, 3], [4, 3], [5, 1]], 1/51840], [[[1, 6], [2, 1], [3, 3], [5, 2], [6, 1]], 1/10800], [[[1, 6], [2, 1], [3, 3], [6, 2], [9, 1]], 1/10368], [[[1, 6], [2, 1], [3, 3], [6, 3], [8, 1]], 1/41472], [[[1, 6], [2, 1], [3, 3], [9, 1], [12, 1]], 1/1728], [[[1, 6], [2, 1], [3, 4], [4, 1], [6, 3]], 1/15552], [[[1, 6], [2, 1], [3, 4], [4, 1], [9, 1]], 1/5184], [[[1, 6], [2, 1], [3, 4], [4, 2], [5, 1]], 1/46080], [[[1, 6], [2, 1], [3, 4], [6, 1], [9, 1]], 11/6912], [[[1, 6], [2, 1], [3, 5], [4, 1], [5, 1]], 1/38880], [[[1, 6], [2, 1], [3, 5], [4, 1], [6, 2]], 1/414720], [[[1, 6], [2, 1], [3, 5], [4, 1], [12, 1]], 1/69120], [[[1, 6], [2, 1], [3, 5], [4, 2], [6, 1]], 17/2985984], [[[1, 6], [2, 1], [3, 5], [5, 1], [6, 1]], 1/19440], [[[1, 6], [2, 1], [3, 5], [6, 1], [12, 1]], 1/3456], [[[1, 6], [2, 3], [3, 1], [4, 1], [6, 5]], 1/5971968], [[[1, 6], [2, 3], [3, 1], [4, 2], [5, 2]], 11/28800], [[[1, 6], [2, 3], [3, 1], [4, 2], [8, 2]], 5/9216], [[[1, 6], [2, 3], [3, 1], [4, 4], [5, 1]], 7/92160], [[[1, 6], [2, 3], [3, 1], [4, 4], [6, 2]], 1/165888], [[[1, 6], [2, 3], [3, 1], [4, 4], [8, 1]], 25/55296], [[[1, 6], [2, 3], [3, 1], [4, 4], [10, 1]], 1/46080], [[[1, 6], [2, 3], [3, 1], [4, 5], [6, 1]], 7/294912], [[[1, 6], [2, 3], [3, 1], [5, 1], [10, 2]], 1/7200], [[[1, 6], [2, 3], [3, 1], [5, 2], [6, 2]], 1/86400], [[[1, 6], [2, 3], [3, 2], [4, 1], [5, 2]], 1/25600], [[[1, 6], [2, 3], [3, 2], [4, 1], [6, 4]], 11/497664], [[[1, 6], [2, 3], [3, 2], [4, 2], [6, 3]], 1/13824], [[[1, 6], [2, 3], [3, 2], [4, 3], [5, 1]], 7/46080], [[[1, 6], [2, 3], [3, 2], [4, 3], [6, 2]], 7/23040], [[[1, 6], [2, 3], [3, 2], [4, 3], [8, 1]], 25/73728], [[[1, 6], [2, 3], [3, 2], [4, 4], [6, 1]], 13/221184], [[[1, 6], [2, 3], [3, 2], [5, 2], [6, 1]], 7/34560], [[[1, 6], [2, 3], [3, 2], [6, 2], [9, 1]], 19/10368], [[[1, 6], [2, 3], [3, 2], [6, 3], [8, 1]], 1/38880], [[[1, 6], [2, 3], [3, 2], [6, 3], [10, 1]], 1/46080], [[[1, 6], [2, 3], [3, 2], [6, 3], [12, 1]], 1/27648], [[[1, 6], [2, 3], [3, 3], [4, 1], [6, 3]], 269/331776], [[[1, 6], [2, 3], [3, 3], [4, 2], [5, 1]], 11/51840], [[[1, 6], [2, 3], [3, 3], [4, 2], [6, 2]], 7/13824], [[[1, 6], [2, 3], [3, 3], [4, 3], [6, 1]], 13/82944], [[[1, 6], [2, 3], [3, 3], [5, 1], [6, 2]], 1/6912], [[[1, 6], [2, 3], [3, 3], [6, 1], [9, 1]], 13/5184], [[[1, 6], [2, 3], [3, 3], [6, 2], [8, 1]], 5/20736], [[[1, 6], [2, 3], [3, 3], [6, 2], [10, 1]], 7/103680], [[[1, 6], [2, 3], [3, 3], [6, 2], [12, 1]], 1/1536], [[[1, 6], [2, 3], [3, 4], [4, 1], [5, 1]], 1/92160], [[[1, 6], [2, 3], [3, 4], [4, 1], [6, 2]], 763/663552], [[[1, 6], [2, 3], [3, 4], [4, 2], [6, 1]], 41/248832], [[[1, 6], [2, 3], [3, 4], [5, 1], [6, 1]], 11/103680], [[[1, 6], [2, 3], [3, 4], [6, 1], [12, 1]], 1/9216], [[[1, 6], [2, 3], [3, 5], [4, 1], [6, 1]], 9043/22394880], [[[1, 6], [2, 3], [4, 1], [5, 1], [10, 2]], 1/4800], [[[1, 6], [2, 3], [4, 1], [5, 2], [10, 1]], 1/7680], [[[1, 6], [2, 3], [4, 1], [6, 2], [8, 2]], 1/55296], [[[1, 6], [2, 3], [4, 1], [8, 2], [10, 1]], 1/15360], [[[1, 6], [2, 3], [4, 2], [6, 1], [8, 2]], 1/17280], [[[1, 6], [2, 3], [4, 2], [6, 3], [8, 1]], 1/82944], [[[1, 6], [2, 3], [4, 3], [5, 1], [8, 1]], 11/61440], [[[1, 6], [2, 3], [4, 3], [5, 1], [10, 1]], 1/5120], [[[1, 6], [2, 3], [4, 3], [6, 2], [8, 1]], 13/331776], [[[1, 6], [2, 3], [4, 3], [8, 1], [10, 1]], 13/92160], [[[1, 6], [2, 3], [5, 1], [6, 1], [10, 2]], 1/14400], [[[1, 6], [2, 3], [5, 1], [6, 3], [10, 1]], 1/51840], [[[1, 6], [2, 5], [3, 1], [4, 1], [5, 2]], 19/345600], [[[1, 6], [2, 5], [3, 1], [4, 1], [6, 4]], 31/248832], [[[1, 6], [2, 5], [3, 1], [4, 1], [8, 2]], 1/2304], [[[1, 6], [2, 5], [3, 1], [4, 1], [10, 2]], 1/28800], [[[1, 6], [2, 5], [3, 1], [4, 2], [6, 3]], 13/49152], [[[1, 6], [2, 5], [3, 1], [4, 3], [5, 1]], 31/61440], [[[1, 6], [2, 5], [3, 1], [4, 3], [6, 2]], 2417/1990656], [[[1, 6], [2, 5], [3, 1], [4, 3], [8, 1]], 127/55296], [[[1, 6], [2, 5], [3, 1], [4, 3], [10, 1]], 13/46080], [[[1, 6], [2, 5], [3, 1], [4, 4], [6, 1]], 53/49152], [[[1, 6], [2, 5], [3, 1], [5, 2], [6, 1]], 17/184320], [[[1, 6], [2, 5], [3, 1], [6, 1], [10, 2]], 7/460800], [[[1, 6], [2, 5], [3, 1], [6, 3], [8, 1]], 1/20736], [[[1, 6], [2, 5], [3, 1], [6, 3], [10, 1]], 11/829440], [[[1, 6], [2, 5], [3, 2], [4, 1], [6, 3]], 4267/2488320], [[[1, 6], [2, 5], [3, 2], [4, 2], [5, 1]], 79/1105920], [[[1, 6], [2, 5], [3, 2], [4, 2], [6, 2]], 3691/1327104], [[[1, 6], [2, 5], [3, 2], [4, 2], [8, 1]], 101/110592], [[[1, 6], [2, 5], [3, 2], [4, 2], [10, 1]], 1/5760], [[[1, 6], [2, 5], [3, 2], [4, 3], [6, 1]], 311/165888], [[[1, 6], [2, 5], [3, 2], [5, 1], [6, 2]], 247/829440], [[[1, 6], [2, 5], [3, 2], [5, 1], [10, 1]], 1/1920], [[[1, 6], [2, 5], [3, 2], [6, 2], [8, 1]], 61/138240], [[[1, 6], [2, 5], [3, 2], [6, 2], [10, 1]], 3/8192], [[[1, 6], [2, 5], [3, 3], [4, 1], [5, 1]], 19/622080], [[[1, 6], [2, 5], [3, 3], [4, 1], [6, 2]], 169/82944], [[[1, 6], [2, 5], [3, 3], [4, 1], [8, 1]], 1/27648], [[[1, 6], [2, 5], [3, 3], [4, 2], [6, 1]], 5525/3981312], [[[1, 6], [2, 5], [3, 3], [5, 1], [6, 1]], 551/4976640], [[[1, 6], [2, 5], [3, 3], [6, 1], [8, 1]], 1/41472], [[[1, 6], [2, 5], [3, 3], [6, 1], [10, 1]], 1/6480], [[[1, 6], [2, 5], [3, 4], [4, 1], [6, 1]], 7/27648], [[[1, 6], [2, 5], [4, 1], [5, 2], [6, 1]], 1/9600], [[[1, 6], [2, 5], [4, 1], [6, 1], [8, 2]], 11/27648], [[[1, 6], [2, 5], [4, 1], [6, 1], [10, 2]], 1/230400], [[[1, 6], [2, 5], [4, 1], [6, 3], [8, 1]], 1/13824], [[[1, 6], [2, 5], [4, 1], [6, 3], [10, 1]], 1/414720], [[[1, 6], [2, 5], [4, 2], [5, 1], [8, 1]], 7/10240], [[[1, 6], [2, 5], [4, 2], [5, 1], [10, 1]], 7/5120], [[[1, 6], [2, 5], [4, 2], [6, 2], [8, 1]], 17/36864], [[[1, 6], [2, 5], [4, 2], [6, 2], [10, 1]], 13/1105920], [[[1, 6], [2, 5], [4, 2], [8, 1], [10, 1]], 13/18432], [[[1, 6], [2, 5], [4, 3], [5, 1], [6, 1]], 71/276480], [[[1, 6], [2, 5], [4, 3], [6, 1], [8, 1]], 283/207360], [[[1, 6], [2, 5], [4, 3], [6, 1], [10, 1]], 1/23040], [[[1, 6], [2, 5], [5, 1], [6, 2], [10, 1]], 1/1920], [[[1, 6], [2, 5], [5, 1], [8, 1], [10, 1]], 139/345600], [[[1, 6], [2, 7], [3, 1], [4, 1], [6, 3]], 17477/14929920], [[[1, 6], [2, 7], [3, 1], [4, 2], [5, 1]], 41/221184], [[[1, 6], [2, 7], [3, 1], [4, 2], [6, 2]], 4301/1327104], [[[1, 6], [2, 7], [3, 1], [4, 2], [8, 1]], 235/165888], [[[1, 6], [2, 7], [3, 1], [4, 2], [10, 1]], 13/46080], [[[1, 6], [2, 7], [3, 1], [4, 3], [6, 1]], 22901/7962624], [[[1, 6], [2, 7], [3, 1], [5, 1], [6, 2]], 37/138240], [[[1, 6], [2, 7], [3, 1], [5, 1], [10, 1]], 169/259200], [[[1, 6], [2, 7], [3, 1], [6, 2], [8, 1]], 1/5184], [[[1, 6], [2, 7], [3, 1], [6, 2], [10, 1]], 101/414720], [[[1, 6], [2, 7], [3, 2], [4, 1], [5, 1]], 1/69120], [[[1, 6], [2, 7], [3, 2], [4, 1], [6, 2]], 389/138240], [[[1, 6], [2, 7], [3, 2], [4, 1], [8, 1]], 19/55296], [[[1, 6], [2, 7], [3, 2], [4, 2], [6, 1]], 13937/6635520], [[[1, 6], [2, 7], [3, 2], [5, 1], [6, 1]], 127/829440], [[[1, 6], [2, 7], [3, 2], [6, 1], [8, 1]], 37/207360], [[[1, 6], [2, 7], [3, 2], [6, 1], [10, 1]], 1/7680], [[[1, 6], [2, 7], [3, 3], [4, 1], [6, 1]], 397/663552], [[[1, 6], [2, 7], [4, 1], [5, 1], [6, 2]], 1/17280], [[[1, 6], [2, 7], [4, 1], [5, 1], [8, 1]], 13/46080], [[[1, 6], [2, 7], [4, 1], [5, 1], [10, 1]], 101/102400], [[[1, 6], [2, 7], [4, 1], [6, 2], [8, 1]], 557/1658880], [[[1, 6], [2, 7], [4, 1], [6, 2], [10, 1]], 61/552960], [[[1, 6], [2, 7], [4, 1], [8, 1], [10, 1]], 77/460800], [[[1, 6], [2, 7], [4, 2], [5, 1], [6, 1]], 19/46080], [[[1, 6], [2, 7], [4, 2], [6, 1], [8, 1]], 523/276480], [[[1, 6], [2, 7], [4, 2], [6, 1], [10, 1]], 167/368640], [[[1, 6], [2, 7], [5, 1], [6, 1], [8, 1]], 1/172800], [[[1, 6], [2, 7], [5, 1], [6, 1], [10, 1]], 59/86400], [[[1, 6], [2, 9], [3, 1], [4, 1], [5, 1]], 7/737280], [[[1, 6], [2, 9], [3, 1], [4, 1], [6, 2]], 2227/1866240], [[[1, 6], [2, 9], [3, 1], [4, 1], [8, 1]], 53/414720], [[[1, 6], [2, 9], [3, 1], [4, 1], [10, 1]], 257/4147200], [[[1, 6], [2, 9], [3, 1], [4, 2], [6, 1]], 135253/106168320], [[[1, 6], [2, 9], [3, 1], [5, 1], [6, 1]], 29/884736], [[[1, 6], [2, 9], [3, 1], [6, 1], [8, 1]], 17/414720], [[[1, 6], [2, 9], [3, 1], [6, 1], [10, 1]], 4567/33177600], [[[1, 6], [2, 9], [3, 2], [4, 1], [6, 1]], 3977/9953280], [[[1, 6], [2, 9], [4, 1], [5, 1], [6, 1]], 41/1843200], [[[1, 6], [2, 9], [4, 1], [6, 1], [8, 1]], 281/1658880], [[[1, 6], [2, 9], [4, 1], [6, 1], [10, 1]], 367/921600], [[[1, 6], [2, 11], [3, 1], [4, 1], [6, 1]], 117263/796262400], [[[1, 7], [2, 2], [3, 1], [4, 2], [5, 2]], 7/23040], [[[1, 7], [2, 2], [3, 1], [4, 4], [5, 1]], 1/36864], [[[1, 7], [2, 2], [3, 1], [4, 4], [8, 1]], 1/9216], [[[1, 7], [2, 2], [3, 2], [4, 1], [5, 2]], 47/115200], [[[1, 7], [2, 2], [3, 2], [4, 1], [6, 4]], 5/1990656], [[[1, 7], [2, 2], [3, 2], [4, 3], [5, 1]], 1/11520], [[[1, 7], [2, 2], [3, 2], [4, 4], [6, 1]], 1/55296], [[[1, 7], [2, 2], [3, 2], [5, 2], [6, 1]], 1/7200], [[[1, 7], [2, 2], [3, 2], [6, 2], [9, 1]], 1/3456], [[[1, 7], [2, 2], [3, 3], [4, 1], [6, 3]], 1/18432], [[[1, 7], [2, 2], [3, 3], [4, 2], [5, 1]], 41/207360], [[[1, 7], [2, 2], [3, 3], [4, 2], [6, 2]], 191/829440], [[[1, 7], [2, 2], [3, 3], [4, 3], [6, 1]], 13/829440], [[[1, 7], [2, 2], [3, 3], [5, 1], [6, 2]], 1/82944], [[[1, 7], [2, 2], [3, 3], [6, 1], [9, 1]], 23/15552], [[[1, 7], [2, 2], [3, 3], [6, 2], [12, 1]], 1/9216], [[[1, 7], [2, 2], [3, 4], [4, 1], [5, 1]], 29/138240], [[[1, 7], [2, 2], [3, 4], [4, 2], [6, 1]], 1/41472], [[[1, 7], [2, 2], [3, 4], [5, 1], [6, 1]], 43/186624], [[[1, 7], [2, 2], [3, 4], [6, 1], [12, 1]], 1/4608], [[[1, 7], [2, 2], [3, 5], [4, 1], [6, 1]], 4897/29859840], [[[1, 7], [2, 2], [4, 1], [5, 1], [10, 2]], 1/38400], [[[1, 7], [2, 2], [4, 3], [6, 2], [8, 1]], 1/221184], [[[1, 7], [2, 2], [4, 3], [8, 1], [10, 1]], 1/61440], [[[1, 7], [2, 4], [3, 1], [4, 1], [5, 2]], 29/115200], [[[1, 7], [2, 4], [3, 1], [4, 1], [6, 4]], 1/55296], [[[1, 7], [2, 4], [3, 1], [4, 1], [8, 2]], 1/9216], [[[1, 7], [2, 4], [3, 1], [4, 2], [6, 3]], 77/1327104], [[[1, 7], [2, 4], [3, 1], [4, 3], [5, 1]], 17/27648], [[[1, 7], [2, 4], [3, 1], [4, 3], [6, 2]], 67/995328], [[[1, 7], [2, 4], [3, 1], [4, 3], [8, 1]], 35/27648], [[[1, 7], [2, 4], [3, 1], [4, 3], [10, 1]], 31/276480], [[[1, 7], [2, 4], [3, 1], [4, 4], [6, 1]], 1189/2949120], [[[1, 7], [2, 4], [3, 1], [5, 2], [6, 1]], 119/691200], [[[1, 7], [2, 4], [3, 1], [6, 1], [10, 2]], 1/921600], [[[1, 7], [2, 4], [3, 1], [6, 3], [8, 1]], 1/124416], [[[1, 7], [2, 4], [3, 1], [6, 3], [10, 1]], 1/1658880], [[[1, 7], [2, 4], [3, 2], [4, 1], [6, 3]], 1357/2488320], [[[1, 7], [2, 4], [3, 2], [4, 2], [5, 1]], 155/221184], [[[1, 7], [2, 4], [3, 2], [4, 2], [6, 2]], 9751/6635520], [[[1, 7], [2, 4], [3, 2], [4, 2], [8, 1]], 43/110592], [[[1, 7], [2, 4], [3, 2], [4, 3], [6, 1]], 1/1024], [[[1, 7], [2, 4], [3, 2], [5, 1], [6, 2]], 373/3317760], [[[1, 7], [2, 4], [3, 2], [5, 1], [10, 1]], 17/138240], [[[1, 7], [2, 4], [3, 2], [6, 2], [8, 1]], 151/829440], [[[1, 7], [2, 4], [3, 2], [6, 2], [10, 1]], 23/552960], [[[1, 7], [2, 4], [3, 3], [4, 1], [5, 1]], 29/207360], [[[1, 7], [2, 4], [3, 3], [4, 1], [6, 2]], 6103/4976640], [[[1, 7], [2, 4], [3, 3], [4, 2], [6, 1]], 4997/3981312], [[[1, 7], [2, 4], [3, 3], [5, 1], [6, 1]], 443/1244160], [[[1, 7], [2, 4], [3, 4], [4, 1], [6, 1]], 211/373248], [[[1, 7], [2, 4], [4, 1], [5, 2], [6, 1]], 1/14400], [[[1, 7], [2, 4], [4, 1], [6, 1], [8, 2]], 1/17280], [[[1, 7], [2, 4], [4, 1], [6, 3], [8, 1]], 1/82944], [[[1, 7], [2, 4], [4, 2], [5, 1], [8, 1]], 1/10240], [[[1, 7], [2, 4], [4, 2], [5, 1], [10, 1]], 139/230400], [[[1, 7], [2, 4], [4, 2], [6, 2], [8, 1]], 169/1658880], [[[1, 7], [2, 4], [4, 2], [6, 2], [10, 1]], 1/1105920], [[[1, 7], [2, 4], [4, 2], [8, 1], [10, 1]], 7/30720], [[[1, 7], [2, 4], [4, 3], [6, 1], [8, 1]], 589/1658880], [[[1, 7], [2, 4], [4, 3], [6, 1], [10, 1]], 1/138240], [[[1, 7], [2, 4], [5, 1], [6, 2], [10, 1]], 47/518400], [[[1, 7], [2, 4], [5, 1], [8, 1], [10, 1]], 31/230400], [[[1, 7], [2, 6], [3, 1], [4, 1], [6, 3]], 397/663552], [[[1, 7], [2, 6], [3, 1], [4, 2], [5, 1]], 167/368640], [[[1, 7], [2, 6], [3, 1], [4, 2], [6, 2]], 13937/6635520], [[[1, 7], [2, 6], [3, 1], [4, 2], [8, 1]], 523/276480], [[[1, 7], [2, 6], [3, 1], [4, 2], [10, 1]], 19/46080], [[[1, 7], [2, 6], [3, 1], [4, 3], [6, 1]], 22901/7962624], [[[1, 7], [2, 6], [3, 1], [5, 1], [6, 2]], 1/7680], [[[1, 7], [2, 6], [3, 1], [5, 1], [10, 1]], 59/86400], [[[1, 7], [2, 6], [3, 1], [6, 2], [8, 1]], 37/207360], [[[1, 7], [2, 6], [3, 1], [6, 2], [10, 1]], 127/829440], [[[1, 7], [2, 6], [3, 1], [8, 1], [10, 1]], 1/172800], [[[1, 7], [2, 6], [3, 2], [4, 1], [5, 1]], 61/552960], [[[1, 7], [2, 6], [3, 2], [4, 1], [6, 2]], 389/138240], [[[1, 7], [2, 6], [3, 2], [4, 1], [8, 1]], 557/1658880], [[[1, 7], [2, 6], [3, 2], [4, 1], [10, 1]], 1/17280], [[[1, 7], [2, 6], [3, 2], [4, 2], [6, 1]], 4301/1327104], [[[1, 7], [2, 6], [3, 2], [5, 1], [6, 1]], 101/414720], [[[1, 7], [2, 6], [3, 2], [6, 1], [8, 1]], 1/5184], [[[1, 7], [2, 6], [3, 2], [6, 1], [10, 1]], 37/138240], [[[1, 7], [2, 6], [3, 3], [4, 1], [6, 1]], 17477/14929920], [[[1, 7], [2, 6], [4, 1], [5, 1], [8, 1]], 77/460800], [[[1, 7], [2, 6], [4, 1], [5, 1], [10, 1]], 101/102400], [[[1, 7], [2, 6], [4, 1], [6, 2], [8, 1]], 19/55296], [[[1, 7], [2, 6], [4, 1], [6, 2], [10, 1]], 1/69120], [[[1, 7], [2, 6], [4, 1], [8, 1], [10, 1]], 13/46080], [[[1, 7], [2, 6], [4, 2], [5, 1], [6, 1]], 13/46080], [[[1, 7], [2, 6], [4, 2], [6, 1], [8, 1]], 235/165888], [[[1, 7], [2, 6], [4, 2], [6, 1], [10, 1]], 41/221184], [[[1, 7], [2, 6], [5, 1], [6, 1], [10, 1]], 169/259200], [[[1, 7], [2, 8], [3, 1], [4, 1], [5, 1]], 13/165888], [[[1, 7], [2, 8], [3, 1], [4, 1], [6, 2]], 1151/663552], [[[1, 7], [2, 8], [3, 1], [4, 1], [8, 1]], 131/276480], [[[1, 7], [2, 8], [3, 1], [4, 1], [10, 1]], 203/1843200], [[[1, 7], [2, 8], [3, 1], [4, 2], [6, 1]], 9383/3538944], [[[1, 7], [2, 8], [3, 1], [5, 1], [6, 1]], 59/460800], [[[1, 7], [2, 8], [3, 1], [6, 1], [8, 1]], 199/1658880], [[[1, 7], [2, 8], [3, 1], [6, 1], [10, 1]], 611/4147200], [[[1, 7], [2, 8], [3, 2], [4, 1], [6, 1]], 24901/19906560], [[[1, 7], [2, 8], [4, 1], [5, 1], [6, 1]], 353/2764800], [[[1, 7], [2, 8], [4, 1], [6, 1], [8, 1]], 7/13824], [[[1, 7], [2, 8], [4, 1], [6, 1], [10, 1]], 1061/5529600], [[[1, 7], [2, 10], [3, 1], [4, 1], [6, 1]], 104119/212336640], [[[1, 7], [3, 2], [4, 2], [6, 2], [12, 1]], 1/55296], [[[1, 8], [2, 1], [3, 1], [4, 2], [5, 2]], 1/57600], [[[1, 8], [2, 1], [3, 2], [4, 1], [5, 2]], 79/460800], [[[1, 8], [2, 1], [3, 2], [4, 3], [5, 1]], 13/691200], [[[1, 8], [2, 1], [3, 2], [5, 2], [6, 1]], 1/69120], [[[1, 8], [2, 1], [3, 3], [4, 1], [6, 3]], 13/1990656], [[[1, 8], [2, 1], [3, 3], [4, 2], [5, 1]], 1/34560], [[[1, 8], [2, 1], [3, 3], [6, 1], [9, 1]], 1/5184], [[[1, 8], [2, 1], [3, 4], [4, 1], [5, 1]], 461/4976640], [[[1, 8], [2, 1], [3, 4], [4, 2], [6, 1]], 13/3732480], [[[1, 8], [2, 1], [3, 4], [5, 1], [6, 1]], 37/622080], [[[1, 8], [2, 1], [3, 4], [6, 1], [12, 1]], 1/27648], [[[1, 8], [2, 3], [3, 1], [4, 1], [5, 2]], 3/6400], [[[1, 8], [2, 3], [3, 1], [4, 2], [6, 3]], 1/147456], [[[1, 8], [2, 3], [3, 1], [4, 3], [5, 1]], 13/46080], [[[1, 8], [2, 3], [3, 1], [4, 3], [6, 2]], 1/165888], [[[1, 8], [2, 3], [3, 1], [4, 3], [8, 1]], 37/184320], [[[1, 8], [2, 3], [3, 1], [4, 4], [6, 1]], 59/2949120], [[[1, 8], [2, 3], [3, 1], [5, 2], [6, 1]], 221/2764800], [[[1, 8], [2, 3], [3, 2], [4, 1], [6, 3]], 13/184320], [[[1, 8], [2, 3], [3, 2], [4, 2], [5, 1]], 293/368640], [[[1, 8], [2, 3], [3, 2], [4, 2], [6, 2]], 91/442368], [[[1, 8], [2, 3], [3, 2], [4, 3], [6, 1]], 431/1658880], [[[1, 8], [2, 3], [3, 2], [5, 1], [6, 2]], 109/8294400], [[[1, 8], [2, 3], [3, 2], [6, 2], [8, 1]], 23/829440], [[[1, 8], [2, 3], [3, 2], [6, 2], [10, 1]], 11/3317760], [[[1, 8], [2, 3], [3, 3], [4, 1], [5, 1]], 7/11520], [[[1, 8], [2, 3], [3, 3], [4, 1], [6, 2]], 187/829440], [[[1, 8], [2, 3], [3, 3], [4, 2], [6, 1]], 1231/6635520], [[[1, 8], [2, 3], [3, 3], [5, 1], [6, 1]], 623/1658880], [[[1, 8], [2, 3], [3, 4], [4, 1], [6, 1]], 8261/22394880], [[[1, 8], [2, 3], [4, 1], [5, 2], [6, 1]], 1/108000], [[[1, 8], [2, 3], [4, 2], [5, 1], [10, 1]], 19/115200], [[[1, 8], [2, 3], [4, 2], [6, 2], [8, 1]], 1/165888], [[[1, 8], [2, 3], [4, 2], [8, 1], [10, 1]], 1/46080], [[[1, 8], [2, 3], [4, 3], [6, 1], [8, 1]], 1/23040], [[[1, 8], [2, 3], [5, 1], [6, 2], [10, 1]], 1/414720], [[[1, 8], [2, 3], [5, 1], [8, 1], [10, 1]], 1/76800], [[[1, 8], [2, 5], [3, 1], [4, 1], [6, 3]], 43/414720], [[[1, 8], [2, 5], [3, 1], [4, 2], [5, 1]], 973/1105920], [[[1, 8], [2, 5], [3, 1], [4, 2], [6, 2]], 857/1327104], [[[1, 8], [2, 5], [3, 1], [4, 2], [8, 1]], 511/552960], [[[1, 8], [2, 5], [3, 1], [4, 2], [10, 1]], 17/184320], [[[1, 8], [2, 5], [3, 1], [4, 3], [6, 1]], 33023/26542080], [[[1, 8], [2, 5], [3, 1], [5, 1], [6, 2]], 23/1036800], [[[1, 8], [2, 5], [3, 1], [5, 1], [10, 1]], 3/12800], [[[1, 8], [2, 5], [3, 1], [6, 2], [8, 1]], 1/38880], [[[1, 8], [2, 5], [3, 1], [6, 2], [10, 1]], 1/46080], [[[1, 8], [2, 5], [3, 2], [4, 1], [5, 1]], 1799/4147200], [[[1, 8], [2, 5], [3, 2], [4, 1], [6, 2]], 385/331776], [[[1, 8], [2, 5], [3, 2], [4, 1], [8, 1]], 17/221184], [[[1, 8], [2, 5], [3, 2], [4, 2], [6, 1]], 7139/3317760], [[[1, 8], [2, 5], [3, 2], [5, 1], [6, 1]], 1501/4147200], [[[1, 8], [2, 5], [3, 2], [6, 1], [8, 1]], 11/207360], [[[1, 8], [2, 5], [3, 2], [6, 1], [10, 1]], 19/414720], [[[1, 8], [2, 5], [3, 3], [4, 1], [6, 1]], 11491/9953280], [[[1, 8], [2, 5], [4, 1], [5, 1], [8, 1]], 1/61440], [[[1, 8], [2, 5], [4, 1], [5, 1], [10, 1]], 161/307200], [[[1, 8], [2, 5], [4, 1], [6, 2], [8, 1]], 11/184320], [[[1, 8], [2, 5], [4, 1], [6, 2], [10, 1]], 1/1658880], [[[1, 8], [2, 5], [4, 1], [8, 1], [10, 1]], 7/92160], [[[1, 8], [2, 5], [4, 2], [5, 1], [6, 1]], 19/345600], [[[1, 8], [2, 5], [4, 2], [6, 1], [8, 1]], 817/1658880], [[[1, 8], [2, 5], [4, 2], [6, 1], [10, 1]], 19/737280], [[[1, 8], [2, 5], [5, 1], [6, 1], [10, 1]], 49/259200], [[[1, 8], [2, 7], [3, 1], [4, 1], [5, 1]], 1061/5529600], [[[1, 8], [2, 7], [3, 1], [4, 1], [6, 2]], 24901/19906560], [[[1, 8], [2, 7], [3, 1], [4, 1], [8, 1]], 7/13824], [[[1, 8], [2, 7], [3, 1], [4, 1], [10, 1]], 353/2764800], [[[1, 8], [2, 7], [3, 1], [4, 2], [6, 1]], 9383/3538944], [[[1, 8], [2, 7], [3, 1], [5, 1], [6, 1]], 611/4147200], [[[1, 8], [2, 7], [3, 1], [6, 1], [8, 1]], 199/1658880], [[[1, 8], [2, 7], [3, 1], [6, 1], [10, 1]], 59/460800], [[[1, 8], [2, 7], [3, 2], [4, 1], [6, 1]], 1151/663552], [[[1, 8], [2, 7], [4, 1], [5, 1], [6, 1]], 203/1843200], [[[1, 8], [2, 7], [4, 1], [6, 1], [8, 1]], 131/276480], [[[1, 8], [2, 7], [4, 1], [6, 1], [10, 1]], 13/165888], [[[1, 8], [2, 9], [3, 1], [4, 1], [6, 1]], 19703/21233664], [[[1, 9], [2, 2], [3, 1], [4, 1], [5, 2]], 49/230400], [[[1, 9], [2, 2], [3, 1], [4, 3], [5, 1]], 1/38400], [[[1, 9], [2, 2], [3, 1], [4, 4], [6, 1]], 1/442368], [[[1, 9], [2, 2], [3, 1], [5, 2], [6, 1]], 77/6912000], [[[1, 9], [2, 2], [3, 2], [4, 2], [5, 1]], 1231/5529600], [[[1, 9], [2, 2], [3, 2], [4, 2], [6, 2]], 479/19906560], [[[1, 9], [2, 2], [3, 2], [4, 3], [6, 1]], 19/9953280], [[[1, 9], [2, 2], [3, 2], [5, 1], [6, 2]], 1/3317760], [[[1, 9], [2, 2], [3, 3], [4, 1], [5, 1]], 59/138240], [[[1, 9], [2, 2], [3, 3], [4, 2], [6, 1]], 1/147456], [[[1, 9], [2, 2], [3, 3], [5, 1], [6, 1]], 4331/37324800], [[[1, 9], [2, 2], [3, 4], [4, 1], [6, 1]], 239/3732480], [[[1, 9], [2, 2], [4, 2], [5, 1], [10, 1]], 1/57600], [[[1, 9], [2, 4], [3, 1], [4, 1], [6, 3]], 1/221184], [[[1, 9], [2, 4], [3, 1], [4, 2], [5, 1]], 443/552960], [[[1, 9], [2, 4], [3, 1], [4, 2], [6, 2]], 13/163840], [[[1, 9], [2, 4], [3, 1], [4, 2], [8, 1]], 59/552960], [[[1, 9], [2, 4], [3, 1], [4, 3], [6, 1]], 2047/8847360], [[[1, 9], [2, 4], [3, 1], [5, 1], [6, 2]], 7/2073600], [[[1, 9], [2, 4], [3, 1], [5, 1], [10, 1]], 1/43200], [[[1, 9], [2, 4], [3, 2], [4, 1], [5, 1]], 779/921600], [[[1, 9], [2, 4], [3, 2], [4, 1], [6, 2]], 2641/14929920], [[[1, 9], [2, 4], [3, 2], [4, 2], [6, 1]], 643/1327104], [[[1, 9], [2, 4], [3, 2], [5, 1], [6, 1]], 563/2073600], [[[1, 9], [2, 4], [3, 3], [4, 1], [6, 1]], 1007/1866240], [[[1, 9], [2, 4], [4, 1], [5, 1], [10, 1]], 109/921600], [[[1, 9], [2, 4], [4, 1], [6, 2], [8, 1]], 1/663552], [[[1, 9], [2, 4], [4, 1], [8, 1], [10, 1]], 1/184320], [[[1, 9], [2, 4], [4, 2], [5, 1], [6, 1]], 17/2764800], [[[1, 9], [2, 4], [4, 2], [6, 1], [8, 1]], 89/1658880], [[[1, 9], [2, 4], [5, 1], [6, 1], [10, 1]], 17/1036800], [[[1, 9], [2, 6], [3, 1], [4, 1], [5, 1]], 367/921600], [[[1, 9], [2, 6], [3, 1], [4, 1], [6, 2]], 3977/9953280], [[[1, 9], [2, 6], [3, 1], [4, 1], [8, 1]], 281/1658880], [[[1, 9], [2, 6], [3, 1], [4, 1], [10, 1]], 41/1843200], [[[1, 9], [2, 6], [3, 1], [4, 2], [6, 1]], 135253/106168320], [[[1, 9], [2, 6], [3, 1], [5, 1], [6, 1]], 4567/33177600], [[[1, 9], [2, 6], [3, 1], [6, 1], [8, 1]], 17/414720], [[[1, 9], [2, 6], [3, 1], [6, 1], [10, 1]], 29/884736], [[[1, 9], [2, 6], [3, 2], [4, 1], [6, 1]], 2227/1866240], [[[1, 9], [2, 6], [4, 1], [5, 1], [6, 1]], 257/4147200], [[[1, 9], [2, 6], [4, 1], [6, 1], [8, 1]], 53/414720], [[[1, 9], [2, 6], [4, 1], [6, 1], [10, 1]], 7/737280], [[[1, 9], [2, 8], [3, 1], [4, 1], [6, 1]], 19703/21233664], [[[1, 10], [2, 1], [3, 1], [4, 1], [5, 2]], 13/576000], [[[1, 10], [2, 1], [3, 1], [4, 3], [5, 1]], 19/8294400], [[[1, 10], [2, 1], [3, 1], [5, 2], [6, 1]], 1/2764800], [[[1, 10], [2, 1], [3, 2], [4, 2], [5, 1]], 1/122880], [[[1, 10], [2, 1], [3, 3], [4, 1], [5, 1]], 239/3110400], [[[1, 10], [2, 1], [3, 3], [4, 2], [6, 1]], 29/59719680], [[[1, 10], [2, 1], [3, 3], [5, 1], [6, 1]], 79/8294400], [[[1, 10], [2, 3], [3, 1], [4, 2], [5, 1]], 1451/5529600], [[[1, 10], [2, 3], [3, 1], [4, 3], [6, 1]], 1259/53084160], [[[1, 10], [2, 3], [3, 1], [5, 1], [6, 2]], 1/6220800], [[[1, 10], [2, 3], [3, 2], [4, 1], [5, 1]], 11/19200], [[[1, 10], [2, 3], [3, 2], [4, 1], [6, 2]], 13/829440], [[[1, 10], [2, 3], [3, 2], [4, 2], [6, 1]], 89/3981312], [[[1, 10], [2, 3], [3, 2], [5, 1], [6, 1]], 23/276480], [[[1, 10], [2, 3], [3, 3], [4, 1], [6, 1]], 6875/53747712], [[[1, 10], [2, 3], [4, 1], [5, 1], [10, 1]], 1/110592], [[[1, 10], [2, 5], [3, 1], [4, 1], [5, 1]], 12589/24883200], [[[1, 10], [2, 5], [3, 1], [4, 1], [6, 2]], 191/4423680], [[[1, 10], [2, 5], [3, 1], [4, 1], [8, 1]], 1/69120], [[[1, 10], [2, 5], [3, 1], [4, 2], [6, 1]], 46283/159252480], [[[1, 10], [2, 5], [3, 1], [5, 1], [6, 1]], 1633/19906560], [[[1, 10], [2, 5], [3, 1], [6, 1], [8, 1]], 7/1658880], [[[1, 10], [2, 5], [3, 1], [6, 1], [10, 1]], 7/2654208], [[[1, 10], [2, 5], [3, 2], [4, 1], [6, 1]], 4117/9953280], [[[1, 10], [2, 5], [4, 1], [5, 1], [6, 1]], 113/5529600], [[[1, 10], [2, 5], [4, 1], [6, 1], [8, 1]], 17/1658880], [[[1, 10], [2, 7], [3, 1], [4, 1], [6, 1]], 104119/212336640], [[[1, 11], [2, 2], [3, 1], [4, 2], [5, 1]], 89/3317760], [[[1, 11], [2, 2], [3, 1], [4, 3], [6, 1]], 31/796262400], [[[1, 11], [2, 2], [3, 2], [4, 1], [5, 1]], 133/921600], [[[1, 11], [2, 2], [3, 2], [4, 2], [6, 1]], 1/2211840], [[[1, 11], [2, 2], [3, 2], [5, 1], [6, 1]], 191/18662400], [[[1, 11], [2, 2], [3, 3], [4, 1], [6, 1]], 139/14929920], [[[1, 11], [2, 4], [3, 1], [4, 1], [5, 1]], 631/2073600], [[[1, 11], [2, 4], [3, 1], [4, 1], [6, 2]], 31/298598400], [[[1, 11], [2, 4], [3, 1], [4, 2], [6, 1]], 1021/35389440], [[[1, 11], [2, 4], [3, 1], [5, 1], [6, 1]], 607/24883200], [[[1, 11], [2, 4], [3, 2], [4, 1], [6, 1]], 1033/11943936], [[[1, 11], [2, 4], [4, 1], [5, 1], [6, 1]], 23/8294400], [[[1, 11], [2, 6], [3, 1], [4, 1], [6, 1]], 117263/796262400], [[[1, 12], [2, 1], [3, 1], [4, 2], [5, 1]], 1/1843200], [[[1, 12], [2, 1], [3, 2], [4, 1], [5, 1]], 139/12441600], [[[1, 12], [2, 1], [3, 2], [4, 2], [6, 1]], 11/597196800], [[[1, 12], [2, 1], [3, 2], [5, 1], [6, 1]], 1/2488320], [[[1, 12], [2, 3], [3, 1], [4, 1], [5, 1]], 157/1843200], [[[1, 12], [2, 3], [3, 1], [4, 2], [6, 1]], 793/1592524800], [[[1, 12], [2, 3], [3, 1], [5, 1], [6, 1]], 29/8294400], [[[1, 12], [2, 3], [3, 2], [4, 1], [6, 1]], 8741/895795200], [[[1, 12], [2, 3], [4, 1], [5, 1], [6, 1]], 31/248832000], [[[1, 12], [2, 5], [3, 1], [4, 1], [6, 1]], 1069/39321600], [[[1, 13], [2, 2], [3, 1], [4, 1], [5, 1]], 29/2764800], [[[1, 13], [2, 2], [3, 1], [4, 2], [6, 1]], 1/132710400], [[[1, 13], [2, 2], [3, 1], [5, 1], [6, 1]], 671/2985984000], [[[1, 13], [2, 2], [3, 2], [4, 1], [6, 1]], 223/597196800], [[[1, 13], [2, 4], [3, 1], [4, 1], [6, 1]], 29243/9555148800], [[[1, 14], [2, 1], [3, 1], [4, 1], [5, 1]], 223/497664000], [[[1, 14], [2, 1], [3, 1], [4, 2], [6, 1]], 1/4777574400], [[[1, 14], [2, 1], [3, 1], [5, 1], [6, 1]], 1/199065600], [[[1, 14], [2, 3], [3, 1], [4, 1], [6, 1]], 557/2866544640], [[[1, 15], [2, 2], [3, 1], [4, 1], [6, 1]], 43/9555148800], [[[2, 3], [3, 2], [6, 2], [10, 1], [30, 1]], 1/2160], [[[2, 3], [6, 2], [10, 1], [12, 1], [30, 1]], 1/360], [[[2, 5], [3, 2], [4, 2], [6, 3], [12, 1]], 1/6912], [[[2, 5], [3, 2], [6, 1], [10, 1], [30, 1]], 1/17280], [[[2, 5], [6, 1], [10, 1], [12, 1], [30, 1]], 1/2880], [[[2, 7], [3, 2], [4, 2], [6, 2], [12, 1]], 1/55296], [[[1, 1], [2, 2], [3, 1], [6, 3], [9, 1], [18, 1]], 1/2592], [[[1, 1], [2, 2], [3, 2], [4, 1], [6, 1], [18, 2]], 1/10368], [[[1, 1], [2, 2], [3, 3], [6, 1], [9, 1], [18, 1]], 1/2592], [[[1, 1], [2, 2], [4, 1], [6, 1], [12, 1], [18, 2]], 1/1728], [[[1, 1], [2, 2], [4, 1], [6, 3], [9, 1], [18, 1]], 1/3456], [[[1, 1], [2, 2], [4, 1], [6, 3], [10, 1], [30, 1]], 1/2880], [[[1, 1], [2, 4], [3, 1], [4, 1], [6, 3], [12, 2]], 1/576], [[[1, 1], [2, 4], [3, 1], [4, 1], [6, 5], [12, 1]], 1/3456], [[[1, 1], [2, 4], [3, 1], [4, 2], [6, 2], [8, 2]], 1/2304], [[[1, 1], [2, 4], [3, 1], [4, 2], [6, 2], [10, 2]], 1/28800], [[[1, 1], [2, 4], [3, 1], [4, 2], [6, 4], [10, 1]], 1/51840], [[[1, 1], [2, 4], [3, 1], [4, 3], [6, 3], [12, 1]], 1/27648], [[[1, 1], [2, 4], [3, 1], [6, 2], [9, 1], [18, 1]], 17/20736], [[[1, 1], [2, 4], [3, 1], [6, 2], [10, 1], [30, 1]], 1/360], [[[1, 1], [2, 4], [3, 1], [6, 3], [12, 1], [18, 1]], 1/432], [[[1, 1], [2, 4], [3, 1], [9, 1], [12, 1], [18, 1]], 1/3456], [[[1, 1], [2, 4], [3, 2], [4, 1], [6, 3], [18, 1]], 1/10368], [[[1, 1], [2, 4], [3, 2], [4, 1], [6, 4], [12, 1]], 1/2592], [[[1, 1], [2, 4], [3, 2], [4, 2], [6, 3], [12, 1]], 1/3456], [[[1, 1], [2, 4], [3, 2], [4, 3], [6, 2], [12, 1]], 1/9216], [[[1, 1], [2, 4], [3, 2], [6, 1], [10, 1], [30, 1]], 1/2880], [[[1, 1], [2, 4], [3, 3], [4, 1], [6, 3], [12, 1]], 7/10368], [[[1, 1], [2, 4], [3, 3], [4, 2], [6, 2], [12, 1]], 1/20736], [[[1, 1], [2, 4], [4, 1], [6, 2], [9, 1], [18, 1]], 1/1728], [[[1, 1], [2, 4], [4, 1], [6, 2], [10, 1], [30, 1]], 1/1440], [[[1, 1], [2, 4], [4, 1], [6, 3], [12, 1], [18, 1]], 1/1728], [[[1, 1], [2, 4], [6, 1], [10, 1], [12, 1], [30, 1]], 1/480], [[[1, 1], [2, 6], [3, 1], [4, 1], [6, 2], [12, 2]], 1/4608], [[[1, 1], [2, 6], [3, 1], [4, 1], [6, 4], [12, 1]], 17/27648], [[[1, 1], [2, 6], [3, 1], [4, 2], [6, 1], [8, 2]], 1/18432], [[[1, 1], [2, 6], [3, 1], [4, 2], [6, 1], [10, 2]], 1/230400], [[[1, 1], [2, 6], [3, 1], [4, 2], [6, 3], [10, 1]], 1/46080], [[[1, 1], [2, 6], [3, 1], [4, 3], [6, 2], [8, 1]], 1/9216], [[[1, 1], [2, 6], [3, 1], [4, 3], [6, 2], [12, 1]], 1/6912], [[[1, 1], [2, 6], [3, 1], [6, 1], [9, 1], [18, 1]], 1/10368], [[[1, 1], [2, 6], [3, 1], [6, 1], [10, 1], [30, 1]], 1/2880], [[[1, 1], [2, 6], [3, 1], [6, 2], [12, 1], [18, 1]], 1/3456], [[[1, 1], [2, 6], [3, 2], [4, 1], [6, 3], [12, 1]], 1/10368], [[[1, 1], [2, 6], [3, 2], [4, 2], [6, 2], [12, 1]], 1/6912], [[[1, 1], [2, 6], [3, 3], [4, 1], [6, 2], [12, 1]], 7/82944], [[[1, 1], [2, 6], [3, 3], [4, 2], [6, 1], [12, 1]], 1/165888], [[[1, 1], [2, 8], [3, 1], [4, 1], [6, 3], [12, 1]], 1/13824], [[[1, 1], [2, 8], [3, 1], [4, 2], [6, 2], [10, 1]], 1/345600], [[[1, 1], [2, 8], [3, 1], [4, 3], [6, 1], [8, 1]], 1/73728], [[[1, 1], [2, 8], [3, 1], [4, 3], [6, 1], [12, 1]], 1/69120], [[[1, 1], [2, 8], [3, 2], [4, 1], [6, 2], [12, 1]], 1/165888], [[[1, 1], [2, 10], [3, 1], [4, 2], [6, 1], [10, 1]], 1/16588800], [[[1, 2], [2, 1], [3, 1], [4, 1], [6, 2], [9, 2]], 1/10368], [[[1, 2], [2, 1], [3, 1], [4, 1], [9, 2], [12, 1]], 1/1728], [[[1, 2], [2, 1], [3, 1], [6, 3], [9, 1], [18, 1]], 1/2592], [[[1, 2], [2, 1], [3, 3], [4, 1], [5, 1], [15, 1]], 1/2880], [[[1, 2], [2, 1], [3, 3], [4, 1], [9, 1], [18, 1]], 1/3456], [[[1, 2], [2, 1], [3, 3], [6, 1], [9, 1], [18, 1]], 1/2592], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 1], [9, 2]], 1/5184], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 1], [18, 2]], 1/1728], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 4], [18, 1]], 1/3456], [[[1, 2], [2, 3], [3, 1], [4, 2], [6, 2], [12, 2]], 1/384], [[[1, 2], [2, 3], [3, 1], [4, 2], [6, 4], [12, 1]], 11/20736], [[[1, 2], [2, 3], [3, 1], [4, 3], [6, 1], [8, 2]], 1/3072], [[[1, 2], [2, 3], [3, 1], [4, 3], [6, 1], [10, 2]], 1/38400], [[[1, 2], [2, 3], [3, 1], [4, 3], [6, 3], [10, 1]], 1/69120], [[[1, 2], [2, 3], [3, 1], [4, 3], [6, 3], [12, 1]], 1/13824], [[[1, 2], [2, 3], [3, 1], [6, 2], [9, 1], [18, 1]], 35/10368], [[[1, 2], [2, 3], [3, 1], [6, 2], [10, 1], [30, 1]], 1/1080], [[[1, 2], [2, 3], [3, 1], [9, 1], [12, 1], [18, 1]], 1/576], [[[1, 2], [2, 3], [3, 2], [4, 1], [6, 2], [12, 2]], 1/576], [[[1, 2], [2, 3], [3, 2], [4, 1], [6, 4], [8, 1]], 1/20736], [[[1, 2], [2, 3], [3, 2], [4, 1], [6, 4], [12, 1]], 1/3456], [[[1, 2], [2, 3], [3, 2], [4, 2], [6, 1], [8, 2]], 1/6912], [[[1, 2], [2, 3], [3, 2], [4, 2], [6, 3], [10, 1]], 1/34560], [[[1, 2], [2, 3], [3, 2], [4, 2], [6, 3], [12, 1]], 1/1728], [[[1, 2], [2, 3], [3, 2], [4, 3], [5, 1], [6, 2]], 1/46080], [[[1, 2], [2, 3], [3, 2], [4, 3], [6, 2], [12, 1]], 1/3072], [[[1, 2], [2, 3], [3, 2], [5, 1], [6, 3], [8, 1]], 1/4320], [[[1, 2], [2, 3], [3, 2], [6, 1], [9, 1], [18, 1]], 17/6912], [[[1, 2], [2, 3], [3, 2], [6, 1], [10, 1], [30, 1]], 1/5760], [[[1, 2], [2, 3], [3, 3], [4, 1], [6, 2], [18, 1]], 1/3456], [[[1, 2], [2, 3], [3, 3], [4, 1], [6, 3], [8, 1]], 1/6912], [[[1, 2], [2, 3], [3, 3], [4, 1], [6, 3], [12, 1]], 1/7776], [[[1, 2], [2, 3], [3, 3], [4, 2], [6, 2], [12, 1]], 17/20736], [[[1, 2], [2, 3], [3, 3], [4, 3], [6, 1], [12, 1]], 1/27648], [[[1, 2], [2, 3], [3, 4], [4, 1], [6, 2], [12, 1]], 13/31104], [[[1, 2], [2, 3], [4, 1], [5, 1], [8, 1], [10, 2]], 1/1600], [[[1, 2], [2, 3], [4, 1], [6, 2], [9, 1], [18, 1]], 1/576], [[[1, 2], [2, 3], [4, 1], [6, 2], [10, 1], [30, 1]], 1/480], [[[1, 2], [2, 3], [4, 2], [5, 1], [6, 1], [8, 2]], 1/1920], [[[1, 2], [2, 3], [5, 2], [6, 1], [8, 1], [10, 1]], 1/1200], [[[1, 2], [2, 3], [6, 1], [9, 1], [12, 1], [18, 1]], 1/1152], [[[1, 2], [2, 3], [6, 1], [10, 1], [12, 1], [30, 1]], 1/960], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 2], [8, 2]], 1/2304], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 2], [10, 2]], 1/3600], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 2], [12, 2]], 1/768], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 3], [18, 1]], 1/864], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 4], [10, 1]], 1/6480], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 4], [12, 1]], 5/2304], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 1], [8, 2]], 1/3072], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 1], [10, 2]], 1/38400], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 3], [8, 1]], 1/3456], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 3], [10, 1]], 1/13824], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 3], [12, 1]], 71/55296], [[[1, 2], [2, 5], [3, 1], [4, 3], [6, 2], [8, 1]], 1/3456], [[[1, 2], [2, 5], [3, 1], [4, 3], [6, 2], [10, 1]], 1/17280], [[[1, 2], [2, 5], [3, 1], [4, 3], [6, 2], [12, 1]], 7/13824], [[[1, 2], [2, 5], [3, 1], [4, 4], [6, 1], [8, 1]], 1/12288], [[[1, 2], [2, 5], [3, 1], [4, 4], [6, 1], [12, 1]], 1/6144], [[[1, 2], [2, 5], [3, 1], [5, 1], [6, 3], [10, 1]], 1/2160], [[[1, 2], [2, 5], [3, 1], [6, 1], [9, 1], [18, 1]], 1/1152], [[[1, 2], [2, 5], [3, 1], [6, 1], [10, 1], [30, 1]], 19/8640], [[[1, 2], [2, 5], [3, 1], [6, 2], [12, 1], [18, 1]], 1/576], [[[1, 2], [2, 5], [3, 2], [4, 1], [5, 1], [6, 3]], 1/8640], [[[1, 2], [2, 5], [3, 2], [4, 1], [6, 1], [12, 2]], 1/4608], [[[1, 2], [2, 5], [3, 2], [4, 1], [6, 3], [8, 1]], 1/1296], [[[1, 2], [2, 5], [3, 2], [4, 1], [6, 3], [12, 1]], 3/1024], [[[1, 2], [2, 5], [3, 2], [4, 2], [6, 2], [8, 1]], 1/3456], [[[1, 2], [2, 5], [3, 2], [4, 2], [6, 2], [10, 1]], 13/276480], [[[1, 2], [2, 5], [3, 2], [4, 2], [6, 2], [12, 1]], 25/27648], [[[1, 2], [2, 5], [3, 2], [4, 3], [6, 1], [8, 1]], 1/27648], [[[1, 2], [2, 5], [3, 2], [5, 1], [6, 2], [8, 1]], 1/34560], [[[1, 2], [2, 5], [3, 2], [5, 1], [6, 2], [10, 1]], 1/2160], [[[1, 2], [2, 5], [3, 2], [5, 1], [8, 1], [10, 1]], 1/34560], [[[1, 2], [2, 5], [3, 3], [4, 1], [6, 2], [12, 1]], 67/124416], [[[1, 2], [2, 5], [3, 3], [4, 2], [6, 1], [12, 1]], 1/20736], [[[1, 2], [2, 5], [3, 4], [4, 1], [6, 1], [12, 1]], 13/248832], [[[1, 2], [2, 5], [4, 1], [5, 2], [6, 1], [10, 1]], 1/4800], [[[1, 2], [2, 5], [4, 2], [5, 1], [6, 2], [10, 1]], 1/23040], [[[1, 2], [2, 5], [4, 3], [5, 1], [6, 1], [8, 1]], 1/7680], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 1], [8, 2]], 1/18432], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 1], [10, 2]], 13/460800], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 3], [10, 1]], 79/276480], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 3], [12, 1]], 1/1536], [[[1, 2], [2, 7], [3, 1], [4, 2], [6, 2], [8, 1]], 5/27648], [[[1, 2], [2, 7], [3, 1], [4, 2], [6, 2], [10, 1]], 1/34560], [[[1, 2], [2, 7], [3, 1], [4, 2], [6, 2], [12, 1]], 17/138240], [[[1, 2], [2, 7], [3, 1], [4, 3], [6, 1], [8, 1]], 13/110592], [[[1, 2], [2, 7], [3, 1], [4, 3], [6, 1], [10, 1]], 1/172800], [[[1, 2], [2, 7], [3, 1], [4, 3], [6, 1], [12, 1]], 19/138240], [[[1, 2], [2, 7], [3, 1], [5, 1], [6, 2], [10, 1]], 1/8640], [[[1, 2], [2, 7], [3, 2], [4, 1], [5, 1], [6, 2]], 1/110592], [[[1, 2], [2, 7], [3, 2], [4, 1], [5, 1], [10, 1]], 1/138240], [[[1, 2], [2, 7], [3, 2], [4, 1], [6, 2], [8, 1]], 19/207360], [[[1, 2], [2, 7], [3, 2], [4, 1], [6, 2], [12, 1]], 5/13824], [[[1, 2], [2, 7], [3, 2], [4, 2], [6, 1], [8, 1]], 1/27648], [[[1, 2], [2, 7], [3, 2], [4, 2], [6, 1], [12, 1]], 1/17280], [[[1, 2], [2, 7], [3, 2], [5, 1], [6, 1], [10, 1]], 1/17280], [[[1, 2], [2, 7], [3, 3], [4, 1], [6, 1], [12, 1]], 1/497664], [[[1, 2], [2, 7], [4, 1], [5, 1], [8, 1], [10, 1]], 1/14400], [[[1, 2], [2, 7], [4, 2], [5, 1], [6, 1], [10, 1]], 1/5760], [[[1, 2], [2, 9], [3, 1], [4, 1], [6, 2], [10, 1]], 13/345600], [[[1, 2], [2, 9], [3, 1], [4, 2], [6, 1], [8, 1]], 1/55296], [[[1, 2], [2, 9], [3, 1], [4, 2], [6, 1], [10, 1]], 7/5529600], [[[1, 2], [2, 9], [3, 1], [4, 2], [6, 1], [12, 1]], 5/663552], [[[1, 2], [2, 9], [3, 1], [5, 1], [6, 1], [10, 1]], 1/138240], [[[1, 2], [2, 11], [3, 1], [4, 1], [6, 1], [10, 1]], 7/8294400], [[[1, 3], [2, 2], [3, 1], [4, 1], [6, 1], [9, 2]], 1/1728], [[[1, 3], [2, 2], [3, 1], [4, 1], [6, 1], [18, 2]], 1/5184], [[[1, 3], [2, 2], [3, 1], [4, 2], [6, 2], [8, 2]], 1/6912], [[[1, 3], [2, 2], [3, 1], [4, 2], [8, 2], [10, 1]], 1/1920], [[[1, 3], [2, 2], [3, 1], [4, 3], [5, 2], [6, 1]], 1/38400], [[[1, 3], [2, 2], [3, 1], [4, 3], [6, 1], [8, 2]], 1/3072], [[[1, 3], [2, 2], [3, 1], [4, 3], [6, 3], [12, 1]], 1/27648], [[[1, 3], [2, 2], [3, 1], [5, 1], [6, 2], [15, 1]], 1/5760], [[[1, 3], [2, 2], [3, 1], [5, 1], [8, 1], [10, 2]], 1/1200], [[[1, 3], [2, 2], [3, 1], [5, 1], [12, 1], [15, 1]], 1/960], [[[1, 3], [2, 2], [3, 1], [6, 2], [9, 1], [18, 1]], 17/6912], [[[1, 3], [2, 2], [3, 1], [9, 1], [12, 1], [18, 1]], 1/1152], [[[1, 3], [2, 2], [3, 2], [4, 1], [5, 1], [15, 1]], 1/480], [[[1, 3], [2, 2], [3, 2], [4, 1], [6, 2], [12, 2]], 1/576], [[[1, 3], [2, 2], [3, 2], [4, 1], [6, 3], [9, 1]], 1/3456], [[[1, 3], [2, 2], [3, 2], [4, 1], [6, 4], [12, 1]], 13/31104], [[[1, 3], [2, 2], [3, 2], [4, 1], [9, 1], [18, 1]], 1/576], [[[1, 3], [2, 2], [3, 2], [4, 2], [6, 1], [12, 2]], 1/384], [[[1, 3], [2, 2], [3, 2], [4, 2], [6, 3], [12, 1]], 17/20736], [[[1, 3], [2, 2], [3, 2], [4, 3], [6, 2], [10, 1]], 1/46080], [[[1, 3], [2, 2], [3, 2], [4, 3], [6, 2], [12, 1]], 1/3072], [[[1, 3], [2, 2], [3, 2], [5, 1], [6, 1], [15, 1]], 1/1080], [[[1, 3], [2, 2], [3, 2], [6, 1], [9, 1], [18, 1]], 35/10368], [[[1, 3], [2, 2], [3, 3], [4, 1], [6, 3], [8, 1]], 1/6912], [[[1, 3], [2, 2], [3, 3], [4, 1], [6, 3], [12, 1]], 1/7776], [[[1, 3], [2, 2], [3, 3], [4, 2], [5, 1], [6, 2]], 1/34560], [[[1, 3], [2, 2], [3, 3], [4, 2], [6, 2], [12, 1]], 1/1728], [[[1, 3], [2, 2], [3, 3], [4, 3], [5, 1], [6, 1]], 1/69120], [[[1, 3], [2, 2], [3, 3], [4, 3], [6, 1], [12, 1]], 1/13824], [[[1, 3], [2, 2], [3, 3], [6, 2], [8, 1], [10, 1]], 1/4320], [[[1, 3], [2, 2], [3, 4], [4, 1], [6, 1], [9, 1]], 1/3456], [[[1, 3], [2, 2], [3, 4], [4, 1], [6, 2], [8, 1]], 1/20736], [[[1, 3], [2, 2], [3, 4], [4, 1], [6, 2], [12, 1]], 1/3456], [[[1, 3], [2, 2], [3, 4], [4, 2], [6, 1], [12, 1]], 11/20736], [[[1, 3], [2, 2], [4, 1], [5, 2], [8, 1], [10, 1]], 1/1600], [[[1, 3], [2, 2], [6, 1], [9, 1], [12, 1], [18, 1]], 1/576], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [10, 2]], 1/1600], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 2], [6, 2]], 1/14400], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 2], [10, 2]], 1/43200], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 2], [12, 2]], 1/768], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 3], [18, 1]], 5/2592], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 4], [10, 1]], 1/155520], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 4], [12, 1]], 11/41472], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 1], [8, 2]], 59/55296], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 1], [10, 2]], 13/76800], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 3], [8, 1]], 1/6912], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 3], [10, 1]], 13/138240], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 3], [12, 1]], 23/6912], [[[1, 3], [2, 4], [3, 1], [4, 3], [6, 2], [8, 1]], 1/2304], [[[1, 3], [2, 4], [3, 1], [4, 3], [6, 2], [10, 1]], 1/11520], [[[1, 3], [2, 4], [3, 1], [4, 3], [6, 2], [12, 1]], 7/6912], [[[1, 3], [2, 4], [3, 1], [4, 3], [8, 1], [10, 1]], 1/2560], [[[1, 3], [2, 4], [3, 1], [4, 4], [5, 1], [6, 1]], 1/30720], [[[1, 3], [2, 4], [3, 1], [4, 4], [6, 1], [8, 1]], 11/36864], [[[1, 3], [2, 4], [3, 1], [4, 4], [6, 1], [10, 1]], 1/30720], [[[1, 3], [2, 4], [3, 1], [4, 4], [6, 1], [12, 1]], 1/2048], [[[1, 3], [2, 4], [3, 1], [5, 1], [6, 1], [15, 1]], 1/2880], [[[1, 3], [2, 4], [3, 1], [5, 2], [6, 1], [10, 1]], 1/1800], [[[1, 3], [2, 4], [3, 1], [6, 1], [9, 1], [18, 1]], 5/1728], [[[1, 3], [2, 4], [3, 1], [6, 1], [10, 1], [30, 1]], 1/576], [[[1, 3], [2, 4], [3, 1], [6, 2], [12, 1], [18, 1]], 1/1152], [[[1, 3], [2, 4], [3, 2], [4, 1], [5, 1], [6, 3]], 1/8640], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 1], [8, 2]], 1/6912], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 1], [12, 2]], 1/768], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 2], [9, 1]], 1/1728], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 2], [18, 1]], 1/576], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 3], [8, 1]], 1/3456], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 3], [10, 1]], 1/2880], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 3], [12, 1]], 197/41472], [[[1, 3], [2, 4], [3, 2], [4, 2], [5, 1], [6, 2]], 17/92160], [[[1, 3], [2, 4], [3, 2], [4, 2], [5, 1], [10, 1]], 1/23040], [[[1, 3], [2, 4], [3, 2], [4, 2], [6, 2], [8, 1]], 31/41472], [[[1, 3], [2, 4], [3, 2], [4, 2], [6, 2], [10, 1]], 1/9216], [[[1, 3], [2, 4], [3, 2], [4, 2], [6, 2], [12, 1]], 95/18432], [[[1, 3], [2, 4], [3, 2], [4, 3], [6, 1], [8, 1]], 13/41472], [[[1, 3], [2, 4], [3, 2], [4, 3], [6, 1], [12, 1]], 1/1536], [[[1, 3], [2, 4], [3, 2], [5, 1], [6, 2], [8, 1]], 1/5760], [[[1, 3], [2, 4], [3, 2], [5, 1], [6, 2], [10, 1]], 1/6480], [[[1, 3], [2, 4], [3, 2], [5, 1], [8, 1], [10, 1]], 1/5760], [[[1, 3], [2, 4], [3, 2], [6, 2], [8, 1], [10, 1]], 1/11520], [[[1, 3], [2, 4], [3, 3], [4, 1], [5, 1], [6, 2]], 1/25920], [[[1, 3], [2, 4], [3, 3], [4, 1], [6, 2], [8, 1]], 1/5184], [[[1, 3], [2, 4], [3, 3], [4, 1], [6, 2], [10, 1]], 1/5760], [[[1, 3], [2, 4], [3, 3], [4, 1], [6, 2], [12, 1]], 349/124416], [[[1, 3], [2, 4], [3, 3], [4, 2], [6, 1], [8, 1]], 1/10368], [[[1, 3], [2, 4], [3, 3], [4, 2], [6, 1], [12, 1]], 1/9216], [[[1, 3], [2, 4], [3, 3], [5, 1], [6, 1], [10, 1]], 1/6480], [[[1, 3], [2, 4], [3, 4], [4, 1], [6, 1], [12, 1]], 13/41472], [[[1, 3], [2, 4], [4, 1], [5, 1], [6, 1], [8, 2]], 1/1920], [[[1, 3], [2, 4], [4, 1], [5, 1], [6, 1], [10, 2]], 1/2400], [[[1, 3], [2, 4], [4, 1], [5, 1], [6, 3], [10, 1]], 1/8640], [[[1, 3], [2, 4], [4, 1], [5, 2], [6, 1], [10, 1]], 1/2400], [[[1, 3], [2, 4], [4, 2], [5, 1], [6, 2], [8, 1]], 1/2880], [[[1, 3], [2, 4], [4, 2], [5, 1], [6, 2], [10, 1]], 1/11520], [[[1, 3], [2, 4], [4, 2], [5, 1], [8, 1], [10, 1]], 1/1280], [[[1, 3], [2, 4], [4, 3], [5, 1], [6, 1], [8, 1]], 1/2880], [[[1, 3], [2, 4], [4, 3], [6, 1], [8, 1], [10, 1]], 1/3840], [[[1, 3], [2, 4], [5, 1], [6, 2], [8, 1], [10, 1]], 1/11520], [[[1, 3], [2, 6], [3, 1], [4, 1], [5, 2], [6, 1]], 1/460800], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 1], [8, 2]], 1/3072], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 1], [10, 2]], 19/69120], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 3], [8, 1]], 1/3456], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 3], [10, 1]], 91/124416], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 3], [12, 1]], 305/165888], [[[1, 3], [2, 6], [3, 1], [4, 2], [5, 1], [6, 2]], 1/3840], [[[1, 3], [2, 6], [3, 1], [4, 2], [5, 1], [8, 1]], 1/23040], [[[1, 3], [2, 6], [3, 1], [4, 2], [6, 2], [8, 1]], 5/3456], [[[1, 3], [2, 6], [3, 1], [4, 2], [6, 2], [10, 1]], 7/13824], [[[1, 3], [2, 6], [3, 1], [4, 2], [6, 2], [12, 1]], 1/1152], [[[1, 3], [2, 6], [3, 1], [4, 3], [6, 1], [8, 1]], 5/6144], [[[1, 3], [2, 6], [3, 1], [4, 3], [6, 1], [10, 1]], 1/5760], [[[1, 3], [2, 6], [3, 1], [4, 3], [6, 1], [12, 1]], 139/276480], [[[1, 3], [2, 6], [3, 1], [5, 1], [6, 2], [10, 1]], 1/1440], [[[1, 3], [2, 6], [3, 1], [5, 1], [8, 1], [10, 1]], 1/10800], [[[1, 3], [2, 6], [3, 2], [4, 1], [5, 1], [6, 2]], 11/138240], [[[1, 3], [2, 6], [3, 2], [4, 1], [5, 1], [10, 1]], 1/17280], [[[1, 3], [2, 6], [3, 2], [4, 1], [6, 2], [8, 1]], 1/1152], [[[1, 3], [2, 6], [3, 2], [4, 1], [6, 2], [10, 1]], 11/184320], [[[1, 3], [2, 6], [3, 2], [4, 1], [6, 2], [12, 1]], 257/103680], [[[1, 3], [2, 6], [3, 2], [4, 2], [6, 1], [8, 1]], 23/82944], [[[1, 3], [2, 6], [3, 2], [4, 2], [6, 1], [12, 1]], 191/414720], [[[1, 3], [2, 6], [3, 2], [5, 1], [6, 1], [10, 1]], 1/2592], [[[1, 3], [2, 6], [3, 3], [4, 1], [5, 1], [6, 1]], 1/829440], [[[1, 3], [2, 6], [3, 3], [4, 1], [6, 1], [8, 1]], 1/41472], [[[1, 3], [2, 6], [3, 3], [4, 1], [6, 1], [12, 1]], 91/311040], [[[1, 3], [2, 6], [4, 1], [5, 1], [6, 2], [10, 1]], 23/46080], [[[1, 3], [2, 6], [4, 1], [5, 1], [8, 1], [10, 1]], 1/1920], [[[1, 3], [2, 6], [4, 2], [5, 1], [6, 1], [8, 1]], 1/4608], [[[1, 3], [2, 6], [4, 2], [5, 1], [6, 1], [10, 1]], 7/11520], [[[1, 3], [2, 6], [5, 1], [6, 1], [8, 1], [10, 1]], 1/5760], [[[1, 3], [2, 8], [3, 1], [4, 1], [5, 1], [10, 1]], 1/14400], [[[1, 3], [2, 8], [3, 1], [4, 1], [6, 2], [8, 1]], 1/13824], [[[1, 3], [2, 8], [3, 1], [4, 1], [6, 2], [10, 1]], 839/2073600], [[[1, 3], [2, 8], [3, 1], [4, 1], [6, 2], [12, 1]], 1/51840], [[[1, 3], [2, 8], [3, 1], [4, 2], [5, 1], [6, 1]], 1/40960], [[[1, 3], [2, 8], [3, 1], [4, 2], [6, 1], [8, 1]], 137/552960], [[[1, 3], [2, 8], [3, 1], [4, 2], [6, 1], [10, 1]], 253/5529600], [[[1, 3], [2, 8], [3, 1], [4, 2], [6, 1], [12, 1]], 109/1105920], [[[1, 3], [2, 8], [3, 1], [5, 1], [6, 1], [10, 1]], 1/11520], [[[1, 3], [2, 8], [3, 2], [4, 1], [6, 1], [8, 1]], 1/27648], [[[1, 3], [2, 8], [3, 2], [4, 1], [6, 1], [12, 1]], 17/1244160], [[[1, 3], [2, 8], [4, 1], [5, 1], [6, 1], [10, 1]], 17/115200], [[[1, 3], [2, 10], [3, 1], [4, 1], [6, 1], [8, 1]], 1/221184], [[[1, 3], [2, 10], [3, 1], [4, 1], [6, 1], [10, 1]], 23/995328], [[[1, 3], [2, 10], [3, 1], [4, 1], [6, 1], [12, 1]], 1/1105920], [[[1, 3], [3, 3], [4, 1], [6, 2], [8, 1], [12, 1]], 1/1728], [[[1, 4], [2, 1], [3, 1], [5, 1], [6, 2], [15, 1]], 1/2880], [[[1, 4], [2, 1], [3, 1], [5, 1], [12, 1], [15, 1]], 1/480], [[[1, 4], [2, 1], [3, 2], [4, 1], [5, 1], [15, 1]], 1/1440], [[[1, 4], [2, 1], [3, 2], [4, 1], [9, 1], [18, 1]], 1/1728], [[[1, 4], [2, 1], [3, 2], [4, 2], [5, 2], [6, 1]], 1/28800], [[[1, 4], [2, 1], [3, 2], [4, 2], [6, 1], [8, 2]], 1/2304], [[[1, 4], [2, 1], [3, 2], [4, 2], [6, 3], [12, 1]], 1/20736], [[[1, 4], [2, 1], [3, 2], [4, 3], [6, 2], [12, 1]], 1/9216], [[[1, 4], [2, 1], [3, 2], [5, 1], [6, 1], [15, 1]], 1/360], [[[1, 4], [2, 1], [3, 2], [6, 1], [9, 1], [18, 1]], 17/20736], [[[1, 4], [2, 1], [3, 3], [4, 1], [6, 1], [12, 2]], 1/576], [[[1, 4], [2, 1], [3, 3], [4, 1], [6, 2], [9, 1]], 1/10368], [[[1, 4], [2, 1], [3, 3], [4, 1], [6, 3], [12, 1]], 7/10368], [[[1, 4], [2, 1], [3, 3], [4, 1], [9, 1], [12, 1]], 1/1728], [[[1, 4], [2, 1], [3, 3], [4, 2], [6, 2], [12, 1]], 1/3456], [[[1, 4], [2, 1], [3, 3], [4, 3], [6, 1], [12, 1]], 1/27648], [[[1, 4], [2, 1], [3, 3], [6, 1], [9, 1], [12, 1]], 1/432], [[[1, 4], [2, 1], [3, 4], [4, 1], [6, 2], [12, 1]], 1/2592], [[[1, 4], [2, 1], [3, 4], [4, 2], [5, 1], [6, 1]], 1/51840], [[[1, 4], [2, 1], [3, 5], [4, 1], [6, 1], [12, 1]], 1/3456], [[[1, 4], [2, 1], [6, 1], [9, 1], [12, 1], [18, 1]], 1/3456], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [10, 2]], 1/2400], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 2], [10, 1]], 1/2400], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 2], [8, 2]], 1/6912], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 2], [12, 2]], 1/768], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 4], [12, 1]], 13/41472], [[[1, 4], [2, 3], [3, 1], [4, 1], [8, 2], [10, 1]], 1/1920], [[[1, 4], [2, 3], [3, 1], [4, 2], [5, 2], [6, 1]], 13/76800], [[[1, 4], [2, 3], [3, 1], [4, 2], [6, 1], [8, 2]], 59/55296], [[[1, 4], [2, 3], [3, 1], [4, 2], [6, 3], [8, 1]], 1/10368], [[[1, 4], [2, 3], [3, 1], [4, 2], [6, 3], [12, 1]], 1/9216], [[[1, 4], [2, 3], [3, 1], [4, 3], [5, 1], [8, 1]], 1/3840], [[[1, 4], [2, 3], [3, 1], [4, 3], [6, 2], [8, 1]], 13/41472], [[[1, 4], [2, 3], [3, 1], [4, 3], [6, 2], [12, 1]], 1/1536], [[[1, 4], [2, 3], [3, 1], [4, 3], [8, 1], [10, 1]], 1/2880], [[[1, 4], [2, 3], [3, 1], [4, 4], [5, 1], [6, 1]], 1/30720], [[[1, 4], [2, 3], [3, 1], [4, 4], [6, 1], [8, 1]], 11/36864], [[[1, 4], [2, 3], [3, 1], [4, 4], [6, 1], [10, 1]], 1/30720], [[[1, 4], [2, 3], [3, 1], [4, 4], [6, 1], [12, 1]], 1/2048], [[[1, 4], [2, 3], [3, 1], [5, 1], [6, 1], [10, 2]], 1/1800], [[[1, 4], [2, 3], [3, 1], [5, 1], [6, 1], [15, 1]], 1/576], [[[1, 4], [2, 3], [3, 1], [5, 1], [6, 3], [10, 1]], 1/6480], [[[1, 4], [2, 3], [3, 1], [6, 1], [9, 1], [18, 1]], 5/1728], [[[1, 4], [2, 3], [3, 1], [6, 1], [10, 1], [30, 1]], 1/2880], [[[1, 4], [2, 3], [3, 2], [4, 1], [5, 1], [6, 3]], 1/5760], [[[1, 4], [2, 3], [3, 2], [4, 1], [5, 2], [6, 1]], 1/43200], [[[1, 4], [2, 3], [3, 2], [4, 1], [6, 1], [10, 2]], 1/14400], [[[1, 4], [2, 3], [3, 2], [4, 1], [6, 1], [12, 2]], 1/768], [[[1, 4], [2, 3], [3, 2], [4, 1], [6, 2], [9, 1]], 1/576], [[[1, 4], [2, 3], [3, 2], [4, 1], [6, 2], [18, 1]], 1/1728], [[[1, 4], [2, 3], [3, 2], [4, 1], [6, 3], [8, 1]], 1/5184], [[[1, 4], [2, 3], [3, 2], [4, 1], [6, 3], [10, 1]], 1/25920], [[[1, 4], [2, 3], [3, 2], [4, 1], [6, 3], [12, 1]], 349/124416], [[[1, 4], [2, 3], [3, 2], [4, 2], [5, 1], [6, 2]], 1/9216], [[[1, 4], [2, 3], [3, 2], [4, 2], [5, 1], [10, 1]], 1/11520], [[[1, 4], [2, 3], [3, 2], [4, 2], [6, 2], [8, 1]], 31/41472], [[[1, 4], [2, 3], [3, 2], [4, 2], [6, 2], [10, 1]], 17/92160], [[[1, 4], [2, 3], [3, 2], [4, 2], [6, 2], [12, 1]], 95/18432], [[[1, 4], [2, 3], [3, 2], [4, 2], [8, 1], [10, 1]], 1/2880], [[[1, 4], [2, 3], [3, 2], [4, 3], [5, 1], [6, 1]], 1/11520], [[[1, 4], [2, 3], [3, 2], [4, 3], [6, 1], [8, 1]], 1/2304], [[[1, 4], [2, 3], [3, 2], [4, 3], [6, 1], [12, 1]], 7/6912], [[[1, 4], [2, 3], [3, 2], [5, 1], [6, 2], [8, 1]], 1/11520], [[[1, 4], [2, 3], [3, 2], [5, 1], [6, 2], [10, 1]], 1/6480], [[[1, 4], [2, 3], [3, 2], [5, 1], [8, 1], [10, 1]], 1/11520], [[[1, 4], [2, 3], [3, 2], [6, 1], [9, 1], [12, 1]], 1/1152], [[[1, 4], [2, 3], [3, 2], [6, 2], [8, 1], [10, 1]], 1/5760], [[[1, 4], [2, 3], [3, 3], [4, 1], [5, 1], [6, 2]], 1/2880], [[[1, 4], [2, 3], [3, 3], [4, 1], [5, 1], [10, 1]], 1/8640], [[[1, 4], [2, 3], [3, 3], [4, 1], [6, 1], [9, 1]], 5/2592], [[[1, 4], [2, 3], [3, 3], [4, 1], [6, 2], [8, 1]], 1/3456], [[[1, 4], [2, 3], [3, 3], [4, 1], [6, 2], [10, 1]], 1/8640], [[[1, 4], [2, 3], [3, 3], [4, 1], [6, 2], [12, 1]], 197/41472], [[[1, 4], [2, 3], [3, 3], [4, 2], [5, 1], [6, 1]], 13/138240], [[[1, 4], [2, 3], [3, 3], [4, 2], [6, 1], [8, 1]], 1/6912], [[[1, 4], [2, 3], [3, 3], [4, 2], [6, 1], [12, 1]], 23/6912], [[[1, 4], [2, 3], [3, 4], [4, 1], [5, 1], [6, 1]], 1/155520], [[[1, 4], [2, 3], [3, 4], [4, 1], [6, 1], [12, 1]], 11/41472], [[[1, 4], [2, 3], [4, 1], [5, 2], [6, 1], [10, 1]], 1/1600], [[[1, 4], [2, 3], [4, 2], [5, 1], [6, 2], [10, 1]], 1/23040], [[[1, 4], [2, 3], [4, 2], [5, 1], [8, 1], [10, 1]], 1/1280], [[[1, 4], [2, 3], [4, 3], [5, 1], [6, 1], [8, 1]], 1/2560], [[[1, 4], [2, 3], [5, 1], [6, 2], [8, 1], [10, 1]], 1/5760], [[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [6, 3]], 1/2160], [[[1, 4], [2, 5], [3, 1], [4, 1], [5, 2], [6, 1]], 1/38400], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [8, 2]], 41/55296], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [10, 2]], 59/230400], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 3], [8, 1]], 5/41472], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 3], [10, 1]], 59/414720], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 3], [12, 1]], 5/2304], [[[1, 4], [2, 5], [3, 1], [4, 2], [5, 1], [6, 2]], 1/2304], [[[1, 4], [2, 5], [3, 1], [4, 2], [5, 1], [8, 1]], 1/3840], [[[1, 4], [2, 5], [3, 1], [4, 2], [5, 1], [10, 1]], 1/1280], [[[1, 4], [2, 5], [3, 1], [4, 2], [6, 2], [8, 1]], 13/6912], [[[1, 4], [2, 5], [3, 1], [4, 2], [6, 2], [10, 1]], 7/6912], [[[1, 4], [2, 5], [3, 1], [4, 2], [6, 2], [12, 1]], 7/4608], [[[1, 4], [2, 5], [3, 1], [4, 2], [8, 1], [10, 1]], 13/23040], [[[1, 4], [2, 5], [3, 1], [4, 3], [5, 1], [6, 1]], 7/17280], [[[1, 4], [2, 5], [3, 1], [4, 3], [6, 1], [8, 1]], 1621/663552], [[[1, 4], [2, 5], [3, 1], [4, 3], [6, 1], [10, 1]], 1/1920], [[[1, 4], [2, 5], [3, 1], [4, 3], [6, 1], [12, 1]], 7/6144], [[[1, 4], [2, 5], [3, 1], [5, 1], [6, 2], [8, 1]], 1/4320], [[[1, 4], [2, 5], [3, 1], [5, 1], [6, 2], [10, 1]], 1/1080], [[[1, 4], [2, 5], [3, 1], [5, 1], [8, 1], [10, 1]], 11/17280], [[[1, 4], [2, 5], [3, 2], [4, 1], [5, 1], [6, 2]], 17/18432], [[[1, 4], [2, 5], [3, 2], [4, 1], [5, 1], [10, 1]], 1/7680], [[[1, 4], [2, 5], [3, 2], [4, 1], [6, 2], [8, 1]], 7/4608], [[[1, 4], [2, 5], [3, 2], [4, 1], [6, 2], [10, 1]], 199/414720], [[[1, 4], [2, 5], [3, 2], [4, 1], [6, 2], [12, 1]], 2401/497664], [[[1, 4], [2, 5], [3, 2], [4, 2], [5, 1], [6, 1]], 1/34560], [[[1, 4], [2, 5], [3, 2], [4, 2], [6, 1], [8, 1]], 83/82944], [[[1, 4], [2, 5], [3, 2], [4, 2], [6, 1], [10, 1]], 1/1920], [[[1, 4], [2, 5], [3, 2], [4, 2], [6, 1], [12, 1]], 7/6480], [[[1, 4], [2, 5], [3, 2], [5, 1], [6, 1], [10, 1]], 53/51840], [[[1, 4], [2, 5], [3, 3], [4, 1], [5, 1], [6, 1]], 1/69120], [[[1, 4], [2, 5], [3, 3], [4, 1], [6, 1], [8, 1]], 5/20736], [[[1, 4], [2, 5], [3, 3], [4, 1], [6, 1], [12, 1]], 25/13824], [[[1, 4], [2, 5], [4, 1], [5, 1], [6, 2], [8, 1]], 1/2880], [[[1, 4], [2, 5], [4, 1], [5, 1], [6, 2], [10, 1]], 1/1152], [[[1, 4], [2, 5], [4, 1], [5, 1], [8, 1], [10, 1]], 1/960], [[[1, 4], [2, 5], [4, 2], [5, 1], [6, 1], [8, 1]], 1/960], [[[1, 4], [2, 5], [4, 2], [5, 1], [6, 1], [10, 1]], 7/5760], [[[1, 4], [2, 5], [4, 2], [6, 1], [8, 1], [10, 1]], 1/2560], [[[1, 4], [2, 5], [5, 1], [6, 1], [8, 1], [10, 1]], 1/1440], [[[1, 4], [2, 7], [3, 1], [4, 1], [5, 1], [6, 2]], 1/4320], [[[1, 4], [2, 7], [3, 1], [4, 1], [5, 1], [8, 1]], 1/23040], [[[1, 4], [2, 7], [3, 1], [4, 1], [5, 1], [10, 1]], 191/345600], [[[1, 4], [2, 7], [3, 1], [4, 1], [6, 2], [8, 1]], 35/41472], [[[1, 4], [2, 7], [3, 1], [4, 1], [6, 2], [10, 1]], 7/6912], [[[1, 4], [2, 7], [3, 1], [4, 1], [6, 2], [12, 1]], 1/5120], [[[1, 4], [2, 7], [3, 1], [4, 2], [5, 1], [6, 1]], 77/368640], [[[1, 4], [2, 7], [3, 1], [4, 2], [6, 1], [8, 1]], 893/552960], [[[1, 4], [2, 7], [3, 1], [4, 2], [6, 1], [10, 1]], 199/368640], [[[1, 4], [2, 7], [3, 1], [4, 2], [6, 1], [12, 1]], 161/368640], [[[1, 4], [2, 7], [3, 1], [5, 1], [6, 1], [8, 1]], 1/34560], [[[1, 4], [2, 7], [3, 1], [5, 1], [6, 1], [10, 1]], 47/86400], [[[1, 4], [2, 7], [3, 2], [4, 1], [5, 1], [6, 1]], 1/15360], [[[1, 4], [2, 7], [3, 2], [4, 1], [6, 1], [8, 1]], 11/34560], [[[1, 4], [2, 7], [3, 2], [4, 1], [6, 1], [10, 1]], 1/64800], [[[1, 4], [2, 7], [3, 2], [4, 1], [6, 1], [12, 1]], 49/311040], [[[1, 4], [2, 7], [4, 1], [5, 1], [6, 1], [8, 1]], 1/11520], [[[1, 4], [2, 7], [4, 1], [5, 1], [6, 1], [10, 1]], 1/960], [[[1, 4], [2, 9], [3, 1], [4, 1], [5, 1], [6, 1]], 1/61440], [[[1, 4], [2, 9], [3, 1], [4, 1], [6, 1], [8, 1]], 31/331776], [[[1, 4], [2, 9], [3, 1], [4, 1], [6, 1], [10, 1]], 163/921600], [[[1, 4], [2, 9], [3, 1], [4, 1], [6, 1], [12, 1]], 49/3317760], [[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [10, 2]], 1/4800], [[[1, 5], [2, 2], [3, 1], [4, 1], [6, 2], [12, 2]], 1/4608], [[[1, 5], [2, 2], [3, 1], [4, 1], [6, 4], [12, 1]], 13/248832], [[[1, 5], [2, 2], [3, 1], [4, 2], [5, 2], [6, 1]], 1/38400], [[[1, 5], [2, 2], [3, 1], [4, 2], [6, 1], [8, 2]], 1/3072], [[[1, 5], [2, 2], [3, 1], [4, 2], [6, 3], [12, 1]], 1/20736], [[[1, 5], [2, 2], [3, 1], [4, 3], [6, 2], [8, 1]], 1/27648], [[[1, 5], [2, 2], [3, 1], [4, 3], [8, 1], [10, 1]], 1/7680], [[[1, 5], [2, 2], [3, 1], [4, 4], [6, 1], [8, 1]], 1/12288], [[[1, 5], [2, 2], [3, 1], [4, 4], [6, 1], [12, 1]], 1/6144], [[[1, 5], [2, 2], [3, 1], [5, 1], [6, 1], [15, 1]], 19/8640], [[[1, 5], [2, 2], [3, 1], [6, 1], [9, 1], [18, 1]], 1/1152], [[[1, 5], [2, 2], [3, 2], [4, 1], [5, 2], [6, 1]], 1/3600], [[[1, 5], [2, 2], [3, 2], [4, 1], [6, 1], [8, 2]], 1/2304], [[[1, 5], [2, 2], [3, 2], [4, 1], [6, 1], [12, 2]], 1/768], [[[1, 5], [2, 2], [3, 2], [4, 1], [6, 3], [12, 1]], 67/124416], [[[1, 5], [2, 2], [3, 2], [4, 2], [5, 1], [6, 2]], 13/276480], [[[1, 5], [2, 2], [3, 2], [4, 2], [5, 1], [10, 1]], 1/23040], [[[1, 5], [2, 2], [3, 2], [4, 2], [6, 2], [8, 1]], 1/3456], [[[1, 5], [2, 2], [3, 2], [4, 2], [6, 2], [12, 1]], 25/27648], [[[1, 5], [2, 2], [3, 2], [4, 3], [5, 1], [6, 1]], 1/17280], [[[1, 5], [2, 2], [3, 2], [4, 3], [6, 1], [8, 1]], 1/3456], [[[1, 5], [2, 2], [3, 2], [4, 3], [6, 1], [12, 1]], 7/13824], [[[1, 5], [2, 2], [3, 2], [5, 1], [6, 2], [10, 1]], 1/2160], [[[1, 5], [2, 2], [3, 2], [6, 1], [9, 1], [12, 1]], 1/576], [[[1, 5], [2, 2], [3, 2], [6, 2], [8, 1], [10, 1]], 1/34560], [[[1, 5], [2, 2], [3, 3], [4, 1], [6, 1], [9, 1]], 1/864], [[[1, 5], [2, 2], [3, 3], [4, 1], [6, 2], [8, 1]], 1/1296], [[[1, 5], [2, 2], [3, 3], [4, 1], [6, 2], [10, 1]], 1/8640], [[[1, 5], [2, 2], [3, 3], [4, 1], [6, 2], [12, 1]], 3/1024], [[[1, 5], [2, 2], [3, 3], [4, 2], [5, 1], [6, 1]], 1/13824], [[[1, 5], [2, 2], [3, 3], [4, 2], [6, 1], [8, 1]], 1/3456], [[[1, 5], [2, 2], [3, 3], [4, 2], [6, 1], [12, 1]], 71/55296], [[[1, 5], [2, 2], [3, 3], [5, 1], [6, 1], [10, 1]], 1/2160], [[[1, 5], [2, 2], [3, 4], [4, 1], [5, 1], [6, 1]], 1/6480], [[[1, 5], [2, 2], [3, 4], [4, 1], [6, 1], [12, 1]], 5/2304], [[[1, 5], [2, 2], [5, 1], [6, 2], [8, 1], [10, 1]], 1/34560], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 2], [6, 1]], 59/230400], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 1], [8, 2]], 41/55296], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 1], [10, 2]], 1/38400], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 3], [8, 1]], 5/20736], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 3], [10, 1]], 1/69120], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 3], [12, 1]], 25/13824], [[[1, 5], [2, 4], [3, 1], [4, 2], [5, 1], [6, 2]], 1/1920], [[[1, 5], [2, 4], [3, 1], [4, 2], [5, 1], [8, 1]], 1/2560], [[[1, 5], [2, 4], [3, 1], [4, 2], [5, 1], [10, 1]], 7/5760], [[[1, 5], [2, 4], [3, 1], [4, 2], [6, 2], [8, 1]], 83/82944], [[[1, 5], [2, 4], [3, 1], [4, 2], [6, 2], [10, 1]], 1/34560], [[[1, 5], [2, 4], [3, 1], [4, 2], [6, 2], [12, 1]], 7/6480], [[[1, 5], [2, 4], [3, 1], [4, 2], [8, 1], [10, 1]], 1/960], [[[1, 5], [2, 4], [3, 1], [4, 3], [5, 1], [6, 1]], 1/1920], [[[1, 5], [2, 4], [3, 1], [4, 3], [6, 1], [8, 1]], 1621/663552], [[[1, 5], [2, 4], [3, 1], [4, 3], [6, 1], [10, 1]], 7/17280], [[[1, 5], [2, 4], [3, 1], [4, 3], [6, 1], [12, 1]], 7/6144], [[[1, 5], [2, 4], [3, 1], [5, 1], [6, 2], [10, 1]], 53/51840], [[[1, 5], [2, 4], [3, 1], [5, 1], [8, 1], [10, 1]], 1/1440], [[[1, 5], [2, 4], [3, 2], [4, 1], [5, 1], [6, 2]], 199/414720], [[[1, 5], [2, 4], [3, 2], [4, 1], [5, 1], [10, 1]], 1/1152], [[[1, 5], [2, 4], [3, 2], [4, 1], [6, 2], [8, 1]], 7/4608], [[[1, 5], [2, 4], [3, 2], [4, 1], [6, 2], [10, 1]], 17/18432], [[[1, 5], [2, 4], [3, 2], [4, 1], [6, 2], [12, 1]], 2401/497664], [[[1, 5], [2, 4], [3, 2], [4, 1], [8, 1], [10, 1]], 1/2880], [[[1, 5], [2, 4], [3, 2], [4, 2], [5, 1], [6, 1]], 7/6912], [[[1, 5], [2, 4], [3, 2], [4, 2], [6, 1], [8, 1]], 13/6912], [[[1, 5], [2, 4], [3, 2], [4, 2], [6, 1], [10, 1]], 1/2304], [[[1, 5], [2, 4], [3, 2], [4, 2], [6, 1], [12, 1]], 7/4608], [[[1, 5], [2, 4], [3, 2], [5, 1], [6, 1], [10, 1]], 1/1080], [[[1, 5], [2, 4], [3, 2], [6, 1], [8, 1], [10, 1]], 1/4320], [[[1, 5], [2, 4], [3, 3], [4, 1], [5, 1], [6, 1]], 59/414720], [[[1, 5], [2, 4], [3, 3], [4, 1], [6, 1], [8, 1]], 5/41472], [[[1, 5], [2, 4], [3, 3], [4, 1], [6, 1], [10, 1]], 1/2160], [[[1, 5], [2, 4], [3, 3], [4, 1], [6, 1], [12, 1]], 5/2304], [[[1, 5], [2, 4], [4, 1], [5, 1], [6, 2], [10, 1]], 1/7680], [[[1, 5], [2, 4], [4, 1], [5, 1], [8, 1], [10, 1]], 1/960], [[[1, 5], [2, 4], [4, 2], [5, 1], [6, 1], [8, 1]], 13/23040], [[[1, 5], [2, 4], [4, 2], [5, 1], [6, 1], [10, 1]], 1/1280], [[[1, 5], [2, 4], [4, 2], [6, 1], [8, 1], [10, 1]], 1/3840], [[[1, 5], [2, 4], [5, 1], [6, 1], [8, 1], [10, 1]], 11/17280], [[[1, 5], [2, 6], [3, 1], [4, 1], [5, 1], [6, 2]], 17/17280], [[[1, 5], [2, 6], [3, 1], [4, 1], [5, 1], [8, 1]], 1/3840], [[[1, 5], [2, 6], [3, 1], [4, 1], [5, 1], [10, 1]], 7/5400], [[[1, 5], [2, 6], [3, 1], [4, 1], [6, 2], [8, 1]], 5/3456], [[[1, 5], [2, 6], [3, 1], [4, 1], [6, 2], [10, 1]], 13/13824], [[[1, 5], [2, 6], [3, 1], [4, 1], [6, 2], [12, 1]], 59/103680], [[[1, 5], [2, 6], [3, 1], [4, 1], [8, 1], [10, 1]], 1/5760], [[[1, 5], [2, 6], [3, 1], [4, 2], [5, 1], [6, 1]], 39/40960], [[[1, 5], [2, 6], [3, 1], [4, 2], [6, 1], [8, 1]], 157/41472], [[[1, 5], [2, 6], [3, 1], [4, 2], [6, 1], [10, 1]], 1433/1105920], [[[1, 5], [2, 6], [3, 1], [4, 2], [6, 1], [12, 1]], 101/122880], [[[1, 5], [2, 6], [3, 1], [5, 1], [6, 1], [8, 1]], 1/5760], [[[1, 5], [2, 6], [3, 1], [5, 1], [6, 1], [10, 1]], 673/414720], [[[1, 5], [2, 6], [3, 1], [6, 1], [8, 1], [10, 1]], 1/11520], [[[1, 5], [2, 6], [3, 2], [4, 1], [5, 1], [6, 1]], 19/41472], [[[1, 5], [2, 6], [3, 2], [4, 1], [6, 1], [8, 1]], 11/9216], [[[1, 5], [2, 6], [3, 2], [4, 1], [6, 1], [10, 1]], 1/1920], [[[1, 5], [2, 6], [3, 2], [4, 1], [6, 1], [12, 1]], 169/311040], [[[1, 5], [2, 6], [4, 1], [5, 1], [6, 1], [8, 1]], 7/11520], [[[1, 5], [2, 6], [4, 1], [5, 1], [6, 1], [10, 1]], 7/3840], [[[1, 5], [2, 6], [4, 1], [6, 1], [8, 1], [10, 1]], 1/7680], [[[1, 5], [2, 8], [3, 1], [4, 1], [5, 1], [6, 1]], 19/110592], [[[1, 5], [2, 8], [3, 1], [4, 1], [6, 1], [8, 1]], 1/1536], [[[1, 5], [2, 8], [3, 1], [4, 1], [6, 1], [10, 1]], 1511/2764800], [[[1, 5], [2, 8], [3, 1], [4, 1], [6, 1], [12, 1]], 169/1990656], [[[1, 5], [3, 2], [4, 1], [6, 2], [8, 1], [12, 1]], 1/13824], [[[1, 6], [2, 1], [3, 1], [4, 2], [5, 2], [6, 1]], 1/230400], [[[1, 6], [2, 1], [3, 1], [4, 2], [6, 1], [8, 2]], 1/18432], [[[1, 6], [2, 1], [3, 1], [4, 2], [6, 3], [12, 1]], 1/165888], [[[1, 6], [2, 1], [3, 1], [5, 1], [6, 1], [15, 1]], 1/2880], [[[1, 6], [2, 1], [3, 1], [6, 1], [9, 1], [18, 1]], 1/10368], [[[1, 6], [2, 1], [3, 2], [4, 1], [6, 1], [12, 2]], 1/4608], [[[1, 6], [2, 1], [3, 2], [4, 1], [6, 3], [12, 1]], 7/82944], [[[1, 6], [2, 1], [3, 2], [4, 2], [6, 2], [12, 1]], 1/6912], [[[1, 6], [2, 1], [3, 2], [4, 3], [6, 1], [8, 1]], 1/9216], [[[1, 6], [2, 1], [3, 2], [4, 3], [6, 1], [12, 1]], 1/6912], [[[1, 6], [2, 1], [3, 2], [6, 1], [9, 1], [12, 1]], 1/3456], [[[1, 6], [2, 1], [3, 3], [4, 1], [6, 2], [12, 1]], 1/10368], [[[1, 6], [2, 1], [3, 3], [4, 2], [5, 1], [6, 1]], 1/46080], [[[1, 6], [2, 1], [3, 4], [4, 1], [6, 1], [12, 1]], 17/27648], [[[1, 6], [2, 3], [3, 1], [4, 1], [5, 2], [6, 1]], 19/69120], [[[1, 6], [2, 3], [3, 1], [4, 1], [6, 1], [8, 2]], 1/3072], [[[1, 6], [2, 3], [3, 1], [4, 1], [6, 1], [10, 2]], 1/460800], [[[1, 6], [2, 3], [3, 1], [4, 1], [6, 3], [8, 1]], 1/41472], [[[1, 6], [2, 3], [3, 1], [4, 1], [6, 3], [10, 1]], 1/829440], [[[1, 6], [2, 3], [3, 1], [4, 1], [6, 3], [12, 1]], 91/311040], [[[1, 6], [2, 3], [3, 1], [4, 2], [5, 1], [10, 1]], 7/11520], [[[1, 6], [2, 3], [3, 1], [4, 2], [6, 2], [8, 1]], 23/82944], [[[1, 6], [2, 3], [3, 1], [4, 2], [6, 2], [12, 1]], 191/414720], [[[1, 6], [2, 3], [3, 1], [4, 2], [8, 1], [10, 1]], 1/4608], [[[1, 6], [2, 3], [3, 1], [4, 3], [5, 1], [6, 1]], 1/5760], [[[1, 6], [2, 3], [3, 1], [4, 3], [6, 1], [8, 1]], 5/6144], [[[1, 6], [2, 3], [3, 1], [4, 3], [6, 1], [12, 1]], 139/276480], [[[1, 6], [2, 3], [3, 1], [5, 1], [6, 2], [10, 1]], 1/2592], [[[1, 6], [2, 3], [3, 1], [5, 1], [8, 1], [10, 1]], 1/5760], [[[1, 6], [2, 3], [3, 2], [4, 1], [5, 1], [6, 2]], 11/184320], [[[1, 6], [2, 3], [3, 2], [4, 1], [5, 1], [10, 1]], 23/46080], [[[1, 6], [2, 3], [3, 2], [4, 1], [6, 2], [8, 1]], 1/1152], [[[1, 6], [2, 3], [3, 2], [4, 1], [6, 2], [10, 1]], 11/138240], [[[1, 6], [2, 3], [3, 2], [4, 1], [6, 2], [12, 1]], 257/103680], [[[1, 6], [2, 3], [3, 2], [4, 2], [5, 1], [6, 1]], 7/13824], [[[1, 6], [2, 3], [3, 2], [4, 2], [6, 1], [8, 1]], 5/3456], [[[1, 6], [2, 3], [3, 2], [4, 2], [6, 1], [10, 1]], 1/3840], [[[1, 6], [2, 3], [3, 2], [4, 2], [6, 1], [12, 1]], 1/1152], [[[1, 6], [2, 3], [3, 2], [5, 1], [6, 1], [10, 1]], 1/1440], [[[1, 6], [2, 3], [3, 3], [4, 1], [5, 1], [6, 1]], 91/124416], [[[1, 6], [2, 3], [3, 3], [4, 1], [6, 1], [8, 1]], 1/3456], [[[1, 6], [2, 3], [3, 3], [4, 1], [6, 1], [12, 1]], 305/165888], [[[1, 6], [2, 3], [4, 1], [5, 1], [6, 2], [10, 1]], 1/17280], [[[1, 6], [2, 3], [4, 1], [5, 1], [8, 1], [10, 1]], 1/1920], [[[1, 6], [2, 3], [4, 2], [6, 1], [8, 1], [10, 1]], 1/23040], [[[1, 6], [2, 3], [5, 1], [6, 1], [8, 1], [10, 1]], 1/10800], [[[1, 6], [2, 5], [3, 1], [4, 1], [5, 1], [6, 2]], 1/1920], [[[1, 6], [2, 5], [3, 1], [4, 1], [5, 1], [8, 1]], 1/7680], [[[1, 6], [2, 5], [3, 1], [4, 1], [5, 1], [10, 1]], 7/3840], [[[1, 6], [2, 5], [3, 1], [4, 1], [6, 2], [8, 1]], 11/9216], [[[1, 6], [2, 5], [3, 1], [4, 1], [6, 2], [10, 1]], 19/41472], [[[1, 6], [2, 5], [3, 1], [4, 1], [6, 2], [12, 1]], 169/311040], [[[1, 6], [2, 5], [3, 1], [4, 1], [8, 1], [10, 1]], 7/11520], [[[1, 6], [2, 5], [3, 1], [4, 2], [5, 1], [6, 1]], 1433/1105920], [[[1, 6], [2, 5], [3, 1], [4, 2], [6, 1], [8, 1]], 157/41472], [[[1, 6], [2, 5], [3, 1], [4, 2], [6, 1], [10, 1]], 39/40960], [[[1, 6], [2, 5], [3, 1], [4, 2], [6, 1], [12, 1]], 101/122880], [[[1, 6], [2, 5], [3, 1], [5, 1], [6, 1], [8, 1]], 1/11520], [[[1, 6], [2, 5], [3, 1], [5, 1], [6, 1], [10, 1]], 673/414720], [[[1, 6], [2, 5], [3, 1], [6, 1], [8, 1], [10, 1]], 1/5760], [[[1, 6], [2, 5], [3, 2], [4, 1], [5, 1], [6, 1]], 13/13824], [[[1, 6], [2, 5], [3, 2], [4, 1], [6, 1], [8, 1]], 5/3456], [[[1, 6], [2, 5], [3, 2], [4, 1], [6, 1], [10, 1]], 17/17280], [[[1, 6], [2, 5], [3, 2], [4, 1], [6, 1], [12, 1]], 59/103680], [[[1, 6], [2, 5], [4, 1], [5, 1], [6, 1], [8, 1]], 1/5760], [[[1, 6], [2, 5], [4, 1], [5, 1], [6, 1], [10, 1]], 7/5400], [[[1, 6], [2, 5], [4, 1], [6, 1], [8, 1], [10, 1]], 1/3840], [[[1, 6], [2, 7], [3, 1], [4, 1], [5, 1], [6, 1]], 41/61440], [[[1, 6], [2, 7], [3, 1], [4, 1], [6, 1], [8, 1]], 217/122880], [[[1, 6], [2, 7], [3, 1], [4, 1], [6, 1], [10, 1]], 6989/8294400], [[[1, 6], [2, 7], [3, 1], [4, 1], [6, 1], [12, 1]], 2039/9953280], [[[1, 7], [2, 2], [3, 1], [4, 1], [5, 2], [6, 1]], 13/460800], [[[1, 7], [2, 2], [3, 1], [4, 1], [6, 1], [8, 2]], 1/18432], [[[1, 7], [2, 2], [3, 1], [4, 1], [6, 3], [12, 1]], 1/497664], [[[1, 7], [2, 2], [3, 1], [4, 2], [5, 1], [10, 1]], 1/5760], [[[1, 7], [2, 2], [3, 1], [4, 2], [6, 2], [8, 1]], 1/27648], [[[1, 7], [2, 2], [3, 1], [4, 2], [6, 2], [12, 1]], 1/17280], [[[1, 7], [2, 2], [3, 1], [4, 3], [5, 1], [6, 1]], 1/172800], [[[1, 7], [2, 2], [3, 1], [4, 3], [6, 1], [8, 1]], 13/110592], [[[1, 7], [2, 2], [3, 1], [4, 3], [6, 1], [12, 1]], 19/138240], [[[1, 7], [2, 2], [3, 1], [5, 1], [6, 2], [10, 1]], 1/17280], [[[1, 7], [2, 2], [3, 2], [4, 1], [6, 2], [8, 1]], 19/207360], [[[1, 7], [2, 2], [3, 2], [4, 1], [6, 2], [10, 1]], 1/110592], [[[1, 7], [2, 2], [3, 2], [4, 1], [6, 2], [12, 1]], 5/13824], [[[1, 7], [2, 2], [3, 2], [4, 2], [5, 1], [6, 1]], 1/34560], [[[1, 7], [2, 2], [3, 2], [4, 2], [6, 1], [8, 1]], 5/27648], [[[1, 7], [2, 2], [3, 2], [4, 2], [6, 1], [12, 1]], 17/138240], [[[1, 7], [2, 2], [3, 2], [5, 1], [6, 1], [10, 1]], 1/8640], [[[1, 7], [2, 2], [3, 3], [4, 1], [5, 1], [6, 1]], 79/276480], [[[1, 7], [2, 2], [3, 3], [4, 1], [6, 1], [12, 1]], 1/1536], [[[1, 7], [2, 2], [4, 1], [5, 1], [6, 2], [10, 1]], 1/138240], [[[1, 7], [2, 2], [4, 1], [5, 1], [8, 1], [10, 1]], 1/14400], [[[1, 7], [2, 4], [3, 1], [4, 1], [5, 1], [6, 2]], 1/64800], [[[1, 7], [2, 4], [3, 1], [4, 1], [5, 1], [10, 1]], 1/960], [[[1, 7], [2, 4], [3, 1], [4, 1], [6, 2], [8, 1]], 11/34560], [[[1, 7], [2, 4], [3, 1], [4, 1], [6, 2], [10, 1]], 1/15360], [[[1, 7], [2, 4], [3, 1], [4, 1], [6, 2], [12, 1]], 49/311040], [[[1, 7], [2, 4], [3, 1], [4, 1], [8, 1], [10, 1]], 1/11520], [[[1, 7], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1]], 199/368640], [[[1, 7], [2, 4], [3, 1], [4, 2], [6, 1], [8, 1]], 893/552960], [[[1, 7], [2, 4], [3, 1], [4, 2], [6, 1], [10, 1]], 77/368640], [[[1, 7], [2, 4], [3, 1], [4, 2], [6, 1], [12, 1]], 161/368640], [[[1, 7], [2, 4], [3, 1], [5, 1], [6, 1], [10, 1]], 47/86400], [[[1, 7], [2, 4], [3, 1], [6, 1], [8, 1], [10, 1]], 1/34560], [[[1, 7], [2, 4], [3, 2], [4, 1], [5, 1], [6, 1]], 7/6912], [[[1, 7], [2, 4], [3, 2], [4, 1], [6, 1], [8, 1]], 35/41472], [[[1, 7], [2, 4], [3, 2], [4, 1], [6, 1], [10, 1]], 1/4320], [[[1, 7], [2, 4], [3, 2], [4, 1], [6, 1], [12, 1]], 1/5120], [[[1, 7], [2, 4], [4, 1], [5, 1], [6, 1], [10, 1]], 191/345600], [[[1, 7], [2, 4], [4, 1], [6, 1], [8, 1], [10, 1]], 1/23040], [[[1, 7], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1]], 6989/8294400], [[[1, 7], [2, 6], [3, 1], [4, 1], [6, 1], [8, 1]], 217/122880], [[[1, 7], [2, 6], [3, 1], [4, 1], [6, 1], [10, 1]], 41/61440], [[[1, 7], [2, 6], [3, 1], [4, 1], [6, 1], [12, 1]], 2039/9953280], [[[1, 8], [2, 1], [3, 1], [4, 3], [6, 1], [8, 1]], 1/73728], [[[1, 8], [2, 1], [3, 1], [4, 3], [6, 1], [12, 1]], 1/69120], [[[1, 8], [2, 1], [3, 2], [4, 1], [6, 2], [12, 1]], 1/165888], [[[1, 8], [2, 1], [3, 2], [4, 2], [5, 1], [6, 1]], 1/345600], [[[1, 8], [2, 1], [3, 3], [4, 1], [6, 1], [12, 1]], 1/13824], [[[1, 8], [2, 3], [3, 1], [4, 1], [5, 1], [10, 1]], 17/115200], [[[1, 8], [2, 3], [3, 1], [4, 1], [6, 2], [8, 1]], 1/27648], [[[1, 8], [2, 3], [3, 1], [4, 1], [6, 2], [12, 1]], 17/1244160], [[[1, 8], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1]], 253/5529600], [[[1, 8], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1]], 137/552960], [[[1, 8], [2, 3], [3, 1], [4, 2], [6, 1], [10, 1]], 1/40960], [[[1, 8], [2, 3], [3, 1], [4, 2], [6, 1], [12, 1]], 109/1105920], [[[1, 8], [2, 3], [3, 1], [5, 1], [6, 1], [10, 1]], 1/11520], [[[1, 8], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1]], 839/2073600], [[[1, 8], [2, 3], [3, 2], [4, 1], [6, 1], [8, 1]], 1/13824], [[[1, 8], [2, 3], [3, 2], [4, 1], [6, 1], [12, 1]], 1/51840], [[[1, 8], [2, 3], [4, 1], [5, 1], [6, 1], [10, 1]], 1/14400], [[[1, 8], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1]], 1511/2764800], [[[1, 8], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1]], 1/1536], [[[1, 8], [2, 5], [3, 1], [4, 1], [6, 1], [10, 1]], 19/110592], [[[1, 8], [2, 5], [3, 1], [4, 1], [6, 1], [12, 1]], 169/1990656], [[[1, 9], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1]], 7/5529600], [[[1, 9], [2, 2], [3, 1], [4, 2], [6, 1], [8, 1]], 1/55296], [[[1, 9], [2, 2], [3, 1], [4, 2], [6, 1], [12, 1]], 5/663552], [[[1, 9], [2, 2], [3, 1], [5, 1], [6, 1], [10, 1]], 1/138240], [[[1, 9], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1]], 13/345600], [[[1, 9], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1]], 163/921600], [[[1, 9], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1]], 31/331776], [[[1, 9], [2, 4], [3, 1], [4, 1], [6, 1], [10, 1]], 1/61440], [[[1, 9], [2, 4], [3, 1], [4, 1], [6, 1], [12, 1]], 49/3317760], [[[1, 10], [2, 1], [3, 1], [4, 2], [5, 1], [6, 1]], 1/16588800], [[[1, 10], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1]], 23/995328], [[[1, 10], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1]], 1/221184], [[[1, 10], [2, 3], [3, 1], [4, 1], [6, 1], [12, 1]], 1/1105920], [[[1, 11], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1]], 7/8294400], [[[2, 3], [3, 2], [4, 1], [6, 3], [8, 1], [12, 1]], 1/1728], [[[2, 5], [3, 2], [4, 1], [6, 2], [8, 1], [12, 1]], 1/13824], [[[1, 1], [2, 2], [3, 1], [4, 2], [6, 3], [8, 1], [12, 1]], 1/6912], [[[1, 1], [2, 2], [3, 1], [6, 1], [9, 1], [12, 1], [18, 1]], 1/432], [[[1, 1], [2, 2], [3, 2], [4, 1], [6, 1], [9, 1], [18, 1]], 1/3456], [[[1, 1], [2, 2], [3, 2], [4, 1], [6, 1], [10, 1], [30, 1]], 1/2880], [[[1, 1], [2, 2], [3, 2], [4, 2], [6, 2], [8, 1], [12, 1]], 1/2304], [[[1, 1], [2, 2], [3, 3], [4, 1], [6, 2], [8, 1], [12, 1]], 1/5184], [[[1, 1], [2, 2], [4, 1], [6, 1], [9, 1], [12, 1], [18, 1]], 1/576], [[[1, 1], [2, 2], [4, 1], [6, 1], [10, 1], [12, 1], [30, 1]], 1/480], [[[1, 1], [2, 4], [3, 1], [4, 2], [5, 1], [6, 2], [12, 1]], 1/5760], [[[1, 1], [2, 4], [3, 1], [4, 2], [6, 2], [8, 1], [12, 1]], 1/1728], [[[1, 1], [2, 4], [3, 1], [4, 3], [6, 1], [10, 1], [12, 1]], 1/7680], [[[1, 1], [2, 4], [3, 1], [5, 1], [6, 2], [8, 1], [10, 1]], 1/1440], [[[1, 1], [2, 4], [3, 2], [4, 1], [6, 2], [8, 1], [12, 1]], 1/2304], [[[1, 1], [2, 4], [3, 3], [4, 1], [6, 1], [8, 1], [12, 1]], 1/41472], [[[1, 1], [2, 6], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1]], 1/5760], [[[1, 1], [2, 6], [3, 1], [4, 2], [5, 1], [6, 1], [12, 1]], 1/46080], [[[1, 1], [2, 6], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 1/17280], [[[1, 1], [2, 6], [3, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/11520], [[[1, 1], [2, 8], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 1/46080], [[[1, 2], [2, 1], [3, 1], [4, 1], [5, 1], [6, 2], [15, 1]], 1/2880], [[[1, 2], [2, 1], [3, 1], [4, 1], [5, 1], [12, 1], [15, 1]], 1/480], [[[1, 2], [2, 1], [3, 1], [4, 1], [6, 2], [9, 1], [18, 1]], 1/3456], [[[1, 2], [2, 1], [3, 1], [4, 1], [9, 1], [12, 1], [18, 1]], 1/576], [[[1, 2], [2, 1], [3, 1], [6, 1], [9, 1], [12, 1], [18, 1]], 1/432], [[[1, 2], [2, 1], [3, 2], [4, 1], [6, 3], [8, 1], [12, 1]], 1/5184], [[[1, 2], [2, 1], [3, 2], [4, 2], [6, 2], [8, 1], [12, 1]], 1/2304], [[[1, 2], [2, 1], [3, 3], [4, 2], [6, 1], [8, 1], [12, 1]], 1/6912], [[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [15, 1]], 1/1440], [[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [6, 3], [12, 1]], 1/2160], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 1], [9, 1], [18, 1]], 1/432], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 1], [10, 1], [30, 1]], 1/480], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 2], [12, 1], [18, 1]], 1/576], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 3], [8, 1], [12, 1]], 1/13824], [[[1, 2], [2, 3], [3, 1], [4, 2], [5, 1], [6, 2], [12, 1]], 1/2880], [[[1, 2], [2, 3], [3, 1], [4, 2], [6, 2], [8, 1], [12, 1]], 1/1152], [[[1, 2], [2, 3], [3, 1], [4, 2], [6, 2], [10, 1], [12, 1]], 1/2880], [[[1, 2], [2, 3], [3, 1], [4, 3], [5, 1], [6, 1], [12, 1]], 1/7680], [[[1, 2], [2, 3], [3, 1], [4, 3], [6, 1], [8, 1], [12, 1]], 1/1536], [[[1, 2], [2, 3], [3, 1], [4, 3], [6, 1], [10, 1], [12, 1]], 1/3840], [[[1, 2], [2, 3], [3, 2], [4, 1], [5, 1], [6, 2], [12, 1]], 1/2160], [[[1, 2], [2, 3], [3, 2], [4, 1], [6, 2], [8, 1], [10, 1]], 1/5760], [[[1, 2], [2, 3], [3, 2], [4, 1], [6, 2], [8, 1], [12, 1]], 41/41472], [[[1, 2], [2, 3], [3, 2], [4, 2], [6, 1], [10, 1], [12, 1]], 1/1920], [[[1, 2], [2, 3], [3, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 1/4320], [[[1, 2], [2, 3], [3, 3], [4, 1], [6, 1], [8, 1], [12, 1]], 1/6912], [[[1, 2], [2, 3], [4, 1], [5, 1], [6, 2], [8, 1], [10, 1]], 1/5760], [[[1, 2], [2, 5], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1]], 1/2880], [[[1, 2], [2, 5], [3, 1], [4, 1], [5, 1], [6, 2], [12, 1]], 1/8640], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 2], [8, 1], [12, 1]], 1/6912], [[[1, 2], [2, 5], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1]], 1/7680], [[[1, 2], [2, 5], [3, 1], [4, 2], [5, 1], [6, 1], [12, 1]], 1/5760], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 1/2304], [[[1, 2], [2, 5], [3, 1], [4, 2], [6, 1], [10, 1], [12, 1]], 1/9216], [[[1, 2], [2, 5], [3, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/1920], [[[1, 2], [2, 5], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1]], 1/17280], [[[1, 2], [2, 5], [3, 2], [4, 1], [5, 1], [6, 1], [12, 1]], 1/17280], [[[1, 2], [2, 5], [3, 2], [4, 1], [6, 1], [8, 1], [12, 1]], 1/12960], [[[1, 2], [2, 5], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/1440], [[[1, 2], [2, 7], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 1/5760], [[[1, 2], [2, 7], [3, 1], [4, 1], [5, 1], [6, 1], [12, 1]], 1/138240], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 1/92160], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [15, 1]], 1/480], [[[1, 3], [2, 2], [3, 1], [4, 1], [6, 1], [9, 1], [18, 1]], 1/432], [[[1, 3], [2, 2], [3, 1], [4, 1], [6, 1], [10, 1], [30, 1]], 1/1440], [[[1, 3], [2, 2], [3, 1], [4, 1], [6, 3], [8, 1], [12, 1]], 1/6912], [[[1, 3], [2, 2], [3, 1], [4, 2], [5, 1], [6, 2], [12, 1]], 1/1920], [[[1, 3], [2, 2], [3, 1], [4, 3], [5, 1], [6, 1], [12, 1]], 1/3840], [[[1, 3], [2, 2], [3, 1], [4, 3], [6, 1], [8, 1], [12, 1]], 1/1536], [[[1, 3], [2, 2], [3, 1], [4, 3], [6, 1], [10, 1], [12, 1]], 1/7680], [[[1, 3], [2, 2], [3, 1], [5, 1], [6, 2], [8, 1], [10, 1]], 1/4320], [[[1, 3], [2, 2], [3, 2], [4, 1], [5, 1], [6, 2], [8, 1]], 1/5760], [[[1, 3], [2, 2], [3, 2], [4, 1], [5, 1], [8, 1], [10, 1]], 1/5760], [[[1, 3], [2, 2], [3, 2], [4, 1], [6, 1], [9, 1], [12, 1]], 1/576], [[[1, 3], [2, 2], [3, 2], [4, 1], [6, 2], [8, 1], [12, 1]], 41/41472], [[[1, 3], [2, 2], [3, 2], [4, 1], [6, 2], [10, 1], [12, 1]], 1/2160], [[[1, 3], [2, 2], [3, 2], [4, 2], [5, 1], [6, 1], [12, 1]], 1/2880], [[[1, 3], [2, 2], [3, 2], [4, 2], [6, 1], [8, 1], [12, 1]], 1/1152], [[[1, 3], [2, 2], [3, 2], [4, 2], [6, 1], [10, 1], [12, 1]], 1/2880], [[[1, 3], [2, 2], [3, 3], [4, 1], [6, 1], [8, 1], [12, 1]], 1/13824], [[[1, 3], [2, 2], [3, 3], [4, 1], [6, 1], [10, 1], [12, 1]], 1/2160], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [6, 2], [8, 1]], 1/1440], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1]], 1/1440], [[[1, 3], [2, 4], [3, 1], [4, 1], [5, 1], [6, 2], [12, 1]], 1/1440], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 2], [8, 1], [12, 1]], 1/1728], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 2], [10, 1], [12, 1]], 1/5760], [[[1, 3], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1]], 1/2880], [[[1, 3], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1]], 1/2560], [[[1, 3], [2, 4], [3, 1], [4, 2], [5, 1], [6, 1], [12, 1]], 1/2560], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1]], 1/1920], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 1/1152], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 1], [10, 1], [12, 1]], 1/1920], [[[1, 3], [2, 4], [3, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 41/34560], [[[1, 3], [2, 4], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1]], 1/2160], [[[1, 3], [2, 4], [3, 2], [4, 1], [5, 1], [6, 1], [12, 1]], 1/2880], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 1], [8, 1], [12, 1]], 11/20736], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 1], [10, 1], [12, 1]], 1/4320], [[[1, 3], [2, 4], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/960], [[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 1/11520], [[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 5/4608], [[[1, 3], [2, 6], [3, 1], [4, 1], [5, 1], [6, 1], [12, 1]], 1/11520], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 31/276480], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1]], 1/46080], [[[1, 4], [2, 1], [3, 1], [4, 1], [6, 3], [8, 1], [12, 1]], 1/41472], [[[1, 4], [2, 1], [3, 1], [4, 3], [5, 1], [6, 1], [12, 1]], 1/7680], [[[1, 4], [2, 1], [3, 2], [4, 1], [6, 2], [8, 1], [12, 1]], 1/2304], [[[1, 4], [2, 1], [3, 2], [4, 2], [6, 1], [8, 1], [12, 1]], 1/1728], [[[1, 4], [2, 1], [3, 2], [4, 2], [6, 1], [10, 1], [12, 1]], 1/5760], [[[1, 4], [2, 1], [3, 2], [5, 1], [6, 1], [8, 1], [10, 1]], 1/1440], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1]], 1/2160], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 2], [12, 1]], 1/4320], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [8, 1], [10, 1]], 1/960], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 2], [8, 1], [12, 1]], 11/20736], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 2], [10, 1], [12, 1]], 1/2880], [[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1]], 1/1920], [[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1]], 1/2560], [[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1], [6, 1], [12, 1]], 1/1920], [[[1, 4], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1]], 1/2880], [[[1, 4], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 1/1152], [[[1, 4], [2, 3], [3, 1], [4, 2], [6, 1], [10, 1], [12, 1]], 1/2560], [[[1, 4], [2, 3], [3, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 41/34560], [[[1, 4], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1]], 1/1440], [[[1, 4], [2, 3], [3, 2], [4, 1], [5, 1], [6, 1], [12, 1]], 1/5760], [[[1, 4], [2, 3], [3, 2], [4, 1], [6, 1], [8, 1], [10, 1]], 1/1440], [[[1, 4], [2, 3], [3, 2], [4, 1], [6, 1], [8, 1], [12, 1]], 1/1728], [[[1, 4], [2, 3], [3, 2], [4, 1], [6, 1], [10, 1], [12, 1]], 1/1440], [[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 1/1152], [[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 31/15360], [[[1, 4], [2, 5], [3, 1], [4, 1], [5, 1], [6, 1], [12, 1]], 1/3456], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 1/2304], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 139/414720], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1]], 1/5760], [[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [6, 2], [10, 1]], 1/17280], [[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [8, 1], [10, 1]], 1/1440], [[[1, 5], [2, 2], [3, 1], [4, 1], [6, 2], [8, 1], [12, 1]], 1/12960], [[[1, 5], [2, 2], [3, 1], [4, 1], [6, 2], [10, 1], [12, 1]], 1/17280], [[[1, 5], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [10, 1]], 1/7680], [[[1, 5], [2, 2], [3, 1], [4, 2], [5, 1], [6, 1], [12, 1]], 1/9216], [[[1, 5], [2, 2], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 1/2304], [[[1, 5], [2, 2], [3, 1], [4, 2], [6, 1], [10, 1], [12, 1]], 1/5760], [[[1, 5], [2, 2], [3, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/1920], [[[1, 5], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1]], 1/2880], [[[1, 5], [2, 2], [3, 2], [4, 1], [6, 1], [8, 1], [12, 1]], 1/6912], [[[1, 5], [2, 2], [3, 2], [4, 1], [6, 1], [10, 1], [12, 1]], 1/8640], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1]], 1/2304], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 31/15360], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [12, 1]], 1/5760], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 1/1152], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 139/414720], [[[1, 5], [2, 4], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1]], 1/3456], [[[1, 6], [2, 1], [3, 1], [4, 2], [6, 1], [8, 1], [12, 1]], 1/17280], [[[1, 6], [2, 1], [3, 1], [4, 2], [6, 1], [10, 1], [12, 1]], 1/46080], [[[1, 6], [2, 1], [3, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/11520], [[[1, 6], [2, 1], [3, 2], [4, 1], [5, 1], [6, 1], [10, 1]], 1/5760], [[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 5/4608], [[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [12, 1]], 1/46080], [[[1, 6], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1]], 1/11520], [[[1, 6], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 31/276480], [[[1, 6], [2, 3], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1]], 1/11520], [[[1, 7], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 1/5760], [[[1, 7], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1], [12, 1]], 1/92160], [[[1, 7], [2, 2], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1]], 1/138240], [[[1, 8], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1], [10, 1]], 1/46080], [[[1, 1], [2, 2], [3, 1], [4, 1], [5, 1], [6, 2], [8, 1], [12, 1]], 1/1440], [[[1, 1], [2, 2], [3, 1], [4, 2], [6, 1], [8, 1], [10, 1], [12, 1]], 1/1920], [[[1, 1], [2, 4], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [12, 1]], 1/11520], [[[1, 2], [2, 1], [3, 1], [4, 2], [5, 1], [6, 1], [8, 1], [12, 1]], 1/1920], [[[1, 2], [2, 1], [3, 2], [4, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 1/1440], [[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/1920], [[[1, 2], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [12, 1]], 1/1920], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 1/3840], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [10, 1]], 1/1920], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1], [8, 1], [12, 1]], 1/3840], [[[1, 3], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 1/1920], [[[1, 4], [2, 1], [3, 1], [4, 1], [6, 1], [8, 1], [10, 1], [12, 1]], 1/11520] ]}