{[ [[[1, 17]], 1/12804747411456000], [[[2, 17]], 1/12804747411456000], [[[1, 1], [2, 16]], 1/83691159552000], [[[1, 1], [17, 1]], 1/34], [[[1, 2], [2, 15]], 1/1394852659200], [[[1, 3], [2, 14]], 1/45984153600], [[[1, 4], [2, 13]], 1/2786918400], [[[1, 5], [2, 12]], 1/309657600], [[[1, 5], [3, 6]], 1/1049760], [[[1, 5], [5, 3]], 1/9000], [[[1, 5], [7, 2]], 1/4704], [[[1, 5], [13, 1]], 1/3120], [[[1, 6], [2, 11]], 1/66355200], [[[1, 7], [2, 10]], 1/30965760], [[[1, 7], [3, 5]], 1/349920], [[[1, 7], [11, 1]], 1/110880], [[[1, 8], [2, 9]], 1/37158912], [[[1, 9], [2, 8]], 1/37158912], [[[1, 9], [3, 4]], 1/2799360], [[[1, 9], [5, 2]], 1/4032000], [[[1, 10], [2, 7]], 1/30965760], [[[1, 11], [2, 6]], 1/66355200], [[[1, 11], [3, 3]], 1/117573120], [[[1, 11], [7, 1]], 1/558835200], [[[1, 12], [2, 5]], 1/309657600], [[[1, 13], [2, 4]], 1/2786918400], [[[1, 13], [3, 2]], 1/17244057600], [[[1, 13], [5, 1]], 1/62270208000], [[[1, 14], [2, 3]], 1/45984153600], [[[1, 15], [2, 2]], 1/1394852659200], [[[1, 15], [3, 1]], 1/7846046208000], [[[1, 16], [2, 1]], 1/83691159552000], [[[2, 1], [34, 1]], 1/34], [[[2, 5], [6, 6]], 1/1049760], [[[2, 5], [10, 3]], 1/9000], [[[2, 5], [14, 2]], 1/4704], [[[2, 5], [26, 1]], 1/3120], [[[2, 7], [6, 5]], 1/349920], [[[2, 7], [22, 1]], 1/110880], [[[2, 9], [6, 4]], 1/2799360], [[[2, 9], [10, 2]], 1/4032000], [[[2, 11], [6, 3]], 1/117573120], [[[2, 11], [14, 1]], 1/558835200], [[[2, 13], [6, 2]], 1/17244057600], [[[2, 13], [10, 1]], 1/62270208000], [[[2, 15], [6, 1]], 1/7846046208000], [[[1, 1], [2, 4], [10, 3]], 1/3000], [[[1, 1], [2, 4], [14, 2]], 1/784], [[[1, 1], [2, 4], [26, 1]], 1/312], [[[1, 1], [2, 6], [6, 5]], 1/116640], [[[1, 1], [2, 6], [22, 1]], 1/5280], [[[1, 1], [2, 8], [6, 4]], 1/186624], [[[1, 1], [2, 8], [10, 2]], 1/144000], [[[1, 1], [2, 10], [6, 3]], 1/3265920], [[[1, 1], [2, 10], [14, 1]], 1/10160640], [[[1, 1], [2, 12], [6, 2]], 1/261273600], [[[1, 1], [2, 12], [10, 1]], 1/798336000], [[[1, 1], [2, 14], [4, 1]], 1/697426329600], [[[1, 1], [2, 14], [6, 1]], 1/74724249600], [[[1, 1], [3, 2], [9, 2]], 1/324], [[[1, 1], [5, 1], [13, 1]], 1/130], [[[1, 1], [7, 1], [11, 1]], 1/154], [[[1, 2], [2, 3], [14, 2]], 1/1568], [[[1, 2], [2, 3], [26, 1]], 1/208], [[[1, 2], [2, 5], [22, 1]], 1/1056], [[[1, 2], [2, 7], [6, 4]], 1/62208], [[[1, 2], [2, 7], [10, 2]], 1/19200], [[[1, 2], [2, 9], [6, 3]], 1/311040], [[[1, 2], [2, 9], [14, 1]], 1/564480], [[[1, 2], [2, 11], [4, 2]], 1/232243200], [[[1, 2], [2, 11], [6, 2]], 1/11612160], [[[1, 2], [2, 11], [10, 1]], 1/29030400], [[[1, 2], [2, 13], [4, 1]], 1/7664025600], [[[1, 2], [2, 13], [6, 1]], 1/1916006400], [[[1, 3], [2, 2], [7, 2]], 1/1568], [[[1, 3], [2, 2], [13, 1]], 1/208], [[[1, 3], [2, 4], [22, 1]], 1/1056], [[[1, 3], [2, 6], [6, 4]], 1/186624], [[[1, 3], [2, 6], [10, 2]], 1/9600], [[[1, 3], [2, 8], [4, 3]], 1/552960], [[[1, 3], [2, 8], [6, 3]], 1/93312], [[[1, 3], [2, 8], [14, 1]], 1/80640], [[[1, 3], [2, 10], [4, 2]], 1/5160960], [[[1, 3], [2, 10], [6, 2]], 1/1244160], [[[1, 3], [2, 10], [10, 1]], 1/2419200], [[[1, 3], [2, 12], [4, 1]], 1/232243200], [[[1, 3], [2, 12], [6, 1]], 1/104509440], [[[1, 3], [3, 1], [5, 3]], 1/4500], [[[1, 3], [3, 1], [7, 2]], 1/588], [[[1, 3], [3, 1], [13, 1]], 1/156], [[[1, 3], [3, 2], [11, 1]], 1/396], [[[1, 3], [3, 4], [9, 1]], 1/2916], [[[1, 3], [5, 1], [11, 1]], 1/220], [[[1, 3], [5, 2], [7, 1]], 1/700], [[[1, 4], [2, 1], [5, 3]], 1/3000], [[[1, 4], [2, 1], [7, 2]], 1/784], [[[1, 4], [2, 1], [13, 1]], 1/312], [[[1, 4], [2, 3], [11, 1]], 1/1056], [[[1, 4], [2, 5], [4, 4]], 1/12288], [[[1, 4], [2, 5], [10, 2]], 1/38400], [[[1, 4], [2, 7], [4, 3]], 1/36864], [[[1, 4], [2, 7], [6, 3]], 1/124416], [[[1, 4], [2, 7], [14, 1]], 1/32256], [[[1, 4], [2, 9], [4, 2]], 1/368640], [[[1, 4], [2, 9], [6, 2]], 1/331776], [[[1, 4], [2, 9], [10, 1]], 1/460800], [[[1, 4], [2, 11], [4, 1]], 1/15482880], [[[1, 4], [2, 11], [6, 1]], 1/11612160], [[[1, 5], [2, 2], [11, 1]], 1/1056], [[[1, 5], [2, 4], [4, 4]], 1/12288], [[[1, 5], [2, 4], [5, 2]], 1/38400], [[[1, 5], [2, 6], [4, 3]], 1/9216], [[[1, 5], [2, 6], [14, 1]], 1/53760], [[[1, 5], [2, 8], [4, 2]], 1/73728], [[[1, 5], [2, 8], [6, 2]], 1/276480], [[[1, 5], [2, 8], [10, 1]], 1/230400], [[[1, 5], [2, 10], [4, 1]], 1/2211840], [[[1, 5], [2, 10], [6, 1]], 1/2764800], [[[1, 5], [3, 1], [11, 1]], 1/1584], [[[1, 5], [3, 2], [5, 2]], 1/3600], [[[1, 5], [3, 3], [7, 1]], 1/4536], [[[1, 5], [3, 3], [9, 1]], 1/1944], [[[1, 5], [3, 4], [5, 1]], 1/19440], [[[1, 6], [2, 1], [3, 5]], 1/116640], [[[1, 6], [2, 1], [11, 1]], 1/5280], [[[1, 6], [2, 3], [3, 4]], 1/186624], [[[1, 6], [2, 3], [5, 2]], 1/9600], [[[1, 6], [2, 5], [4, 3]], 1/9216], [[[1, 6], [2, 5], [7, 1]], 1/53760], [[[1, 6], [2, 7], [4, 2]], 1/40960], [[[1, 6], [2, 7], [6, 2]], 1/1658880], [[[1, 6], [2, 7], [10, 1]], 1/460800], [[[1, 6], [2, 9], [4, 1]], 1/737280], [[[1, 6], [2, 9], [6, 1]], 1/1658880], [[[1, 7], [2, 2], [3, 4]], 1/62208], [[[1, 7], [2, 2], [5, 2]], 1/19200], [[[1, 7], [2, 4], [3, 3]], 1/124416], [[[1, 7], [2, 4], [4, 3]], 1/36864], [[[1, 7], [2, 4], [7, 1]], 1/32256], [[[1, 7], [2, 6], [3, 2]], 1/1658880], [[[1, 7], [2, 6], [4, 2]], 1/40960], [[[1, 7], [2, 6], [5, 1]], 1/460800], [[[1, 7], [2, 8], [4, 1]], 1/645120], [[[1, 7], [2, 8], [6, 1]], 1/3870720], [[[1, 7], [3, 1], [5, 2]], 1/36000], [[[1, 7], [3, 2], [7, 1]], 1/30240], [[[1, 7], [3, 2], [9, 1]], 1/38880], [[[1, 7], [3, 3], [5, 1]], 1/38880], [[[1, 7], [5, 1], [7, 1]], 1/50400], [[[1, 8], [2, 1], [3, 4]], 1/186624], [[[1, 8], [2, 1], [5, 2]], 1/144000], [[[1, 8], [2, 3], [3, 3]], 1/93312], [[[1, 8], [2, 3], [4, 3]], 1/552960], [[[1, 8], [2, 3], [7, 1]], 1/80640], [[[1, 8], [2, 5], [3, 2]], 1/276480], [[[1, 8], [2, 5], [4, 2]], 1/73728], [[[1, 8], [2, 5], [5, 1]], 1/230400], [[[1, 8], [2, 7], [3, 1]], 1/3870720], [[[1, 8], [2, 7], [4, 1]], 1/645120], [[[1, 9], [2, 2], [3, 3]], 1/311040], [[[1, 9], [2, 2], [7, 1]], 1/564480], [[[1, 9], [2, 4], [3, 2]], 1/331776], [[[1, 9], [2, 4], [4, 2]], 1/368640], [[[1, 9], [2, 4], [5, 1]], 1/460800], [[[1, 9], [2, 6], [3, 1]], 1/1658880], [[[1, 9], [2, 6], [4, 1]], 1/737280], [[[1, 9], [3, 1], [7, 1]], 1/1693440], [[[1, 9], [3, 1], [9, 1]], 1/6531840], [[[1, 9], [3, 2], [5, 1]], 1/907200], [[[1, 10], [2, 1], [3, 3]], 1/3265920], [[[1, 10], [2, 1], [7, 1]], 1/10160640], [[[1, 10], [2, 3], [3, 2]], 1/1244160], [[[1, 10], [2, 3], [4, 2]], 1/5160960], [[[1, 10], [2, 3], [5, 1]], 1/2419200], [[[1, 10], [2, 5], [3, 1]], 1/2764800], [[[1, 10], [2, 5], [4, 1]], 1/2211840], [[[1, 11], [2, 2], [3, 2]], 1/11612160], [[[1, 11], [2, 2], [4, 2]], 1/232243200], [[[1, 11], [2, 2], [5, 1]], 1/29030400], [[[1, 11], [2, 4], [3, 1]], 1/11612160], [[[1, 11], [2, 4], [4, 1]], 1/15482880], [[[1, 11], [3, 1], [5, 1]], 1/108864000], [[[1, 12], [2, 1], [3, 2]], 1/261273600], [[[1, 12], [2, 1], [5, 1]], 1/798336000], [[[1, 12], [2, 3], [3, 1]], 1/104509440], [[[1, 12], [2, 3], [4, 1]], 1/232243200], [[[1, 13], [2, 2], [3, 1]], 1/1916006400], [[[1, 13], [2, 2], [4, 1]], 1/7664025600], [[[1, 14], [2, 1], [3, 1]], 1/74724249600], [[[1, 14], [2, 1], [4, 1]], 1/697426329600], [[[2, 1], [6, 2], [18, 2]], 1/324], [[[2, 1], [10, 1], [26, 1]], 1/130], [[[2, 1], [14, 1], [22, 1]], 1/154], [[[2, 3], [6, 1], [10, 3]], 1/4500], [[[2, 3], [6, 1], [14, 2]], 1/588], [[[2, 3], [6, 1], [26, 1]], 1/156], [[[2, 3], [6, 2], [22, 1]], 1/396], [[[2, 3], [6, 4], [18, 1]], 1/2916], [[[2, 3], [10, 1], [22, 1]], 1/220], [[[2, 3], [10, 2], [14, 1]], 1/700], [[[2, 5], [6, 1], [22, 1]], 1/1584], [[[2, 5], [6, 2], [10, 2]], 1/3600], [[[2, 5], [6, 3], [14, 1]], 1/4536], [[[2, 5], [6, 3], [18, 1]], 1/1944], [[[2, 5], [6, 4], [10, 1]], 1/19440], [[[2, 7], [6, 1], [10, 2]], 1/36000], [[[2, 7], [6, 2], [14, 1]], 1/30240], [[[2, 7], [6, 2], [18, 1]], 1/38880], [[[2, 7], [6, 3], [10, 1]], 1/38880], [[[2, 7], [10, 1], [14, 1]], 1/50400], [[[2, 9], [6, 1], [14, 1]], 1/1693440], [[[2, 9], [6, 1], [18, 1]], 1/6531840], [[[2, 9], [6, 2], [10, 1]], 1/907200], [[[2, 11], [6, 1], [10, 1]], 1/108864000], [[[1, 1], [2, 2], [4, 1], [14, 2]], 1/784], [[[1, 1], [2, 2], [4, 1], [26, 1]], 1/104], [[[1, 1], [2, 2], [6, 1], [26, 1]], 1/156], [[[1, 1], [2, 2], [10, 1], [22, 1]], 1/220], [[[1, 1], [2, 4], [3, 1], [6, 5]], 1/23328], [[[1, 1], [2, 4], [4, 1], [22, 1]], 1/528], [[[1, 1], [2, 4], [5, 1], [10, 2]], 1/600], [[[1, 1], [2, 4], [6, 1], [22, 1]], 1/264], [[[1, 1], [2, 4], [6, 2], [10, 2]], 1/3600], [[[1, 1], [2, 4], [6, 3], [14, 1]], 1/4536], [[[1, 1], [2, 4], [6, 3], [18, 1]], 1/648], [[[1, 1], [2, 4], [7, 1], [14, 1]], 1/672], [[[1, 1], [2, 6], [3, 1], [6, 4]], 1/11664], [[[1, 1], [2, 6], [4, 1], [6, 4]], 1/31104], [[[1, 1], [2, 6], [4, 1], [10, 2]], 1/9600], [[[1, 1], [2, 6], [6, 1], [10, 2]], 1/3600], [[[1, 1], [2, 6], [6, 2], [14, 1]], 1/3024], [[[1, 1], [2, 6], [6, 2], [18, 1]], 1/2592], [[[1, 1], [2, 6], [6, 3], [10, 1]], 1/6480], [[[1, 1], [2, 6], [10, 1], [14, 1]], 1/3360], [[[1, 1], [2, 8], [3, 1], [6, 3]], 1/155520], [[[1, 1], [2, 8], [4, 1], [6, 3]], 1/155520], [[[1, 1], [2, 8], [4, 1], [14, 1]], 1/282240], [[[1, 1], [2, 8], [5, 1], [10, 1]], 1/806400], [[[1, 1], [2, 8], [6, 1], [14, 1]], 1/60480], [[[1, 1], [2, 8], [6, 1], [18, 1]], 1/181440], [[[1, 1], [2, 8], [6, 2], [10, 1]], 1/43200], [[[1, 1], [2, 10], [3, 1], [6, 2]], 1/13063680], [[[1, 1], [2, 10], [4, 1], [6, 2]], 1/5806080], [[[1, 1], [2, 10], [4, 1], [8, 1]], 1/58060800], [[[1, 1], [2, 10], [4, 1], [10, 1]], 1/14515200], [[[1, 1], [2, 10], [6, 1], [10, 1]], 1/2419200], [[[1, 1], [2, 12], [3, 1], [6, 1]], 1/5748019200], [[[1, 1], [2, 12], [4, 1], [6, 1]], 1/958003200], [[[1, 1], [3, 2], [5, 1], [15, 1]], 1/90], [[[1, 2], [2, 1], [3, 1], [13, 1]], 1/156], [[[1, 2], [2, 1], [4, 1], [7, 2]], 1/784], [[[1, 2], [2, 1], [4, 1], [13, 1]], 1/104], [[[1, 2], [2, 1], [5, 1], [11, 1]], 1/220], [[[1, 2], [2, 3], [3, 2], [6, 4]], 1/2592], [[[1, 2], [2, 3], [3, 3], [6, 3]], 1/2592], [[[1, 2], [2, 3], [4, 1], [22, 1]], 1/176], [[[1, 2], [2, 3], [4, 2], [8, 2]], 1/256], [[[1, 2], [2, 3], [4, 2], [10, 2]], 1/3200], [[[1, 2], [2, 3], [5, 1], [10, 2]], 1/200], [[[1, 2], [2, 3], [6, 1], [22, 1]], 1/528], [[[1, 2], [2, 3], [7, 1], [14, 1]], 3/224], [[[1, 2], [2, 5], [3, 1], [6, 4]], 1/3888], [[[1, 2], [2, 5], [3, 2], [6, 3]], 1/2592], [[[1, 2], [2, 5], [4, 1], [6, 4]], 1/31104], [[[1, 2], [2, 5], [4, 1], [10, 2]], 1/1600], [[[1, 2], [2, 5], [4, 2], [6, 3]], 1/10368], [[[1, 2], [2, 5], [4, 2], [14, 1]], 1/2688], [[[1, 2], [2, 5], [6, 1], [10, 2]], 1/2400], [[[1, 2], [2, 5], [6, 2], [14, 1]], 1/2016], [[[1, 2], [2, 5], [6, 2], [18, 1]], 1/864], [[[1, 2], [2, 5], [6, 3], [10, 1]], 1/12960], [[[1, 2], [2, 5], [10, 1], [14, 1]], 1/1120], [[[1, 2], [2, 7], [3, 1], [6, 3]], 1/10368], [[[1, 2], [2, 7], [3, 2], [6, 2]], 1/103680], [[[1, 2], [2, 7], [4, 1], [6, 3]], 1/15552], [[[1, 2], [2, 7], [4, 1], [14, 1]], 1/13440], [[[1, 2], [2, 7], [4, 2], [6, 2]], 1/27648], [[[1, 2], [2, 7], [4, 2], [8, 1]], 1/46080], [[[1, 2], [2, 7], [4, 2], [10, 1]], 1/38400], [[[1, 2], [2, 7], [5, 1], [10, 1]], 1/28800], [[[1, 2], [2, 7], [6, 1], [14, 1]], 1/8064], [[[1, 2], [2, 7], [6, 1], [18, 1]], 1/17280], [[[1, 2], [2, 7], [6, 2], [10, 1]], 1/8640], [[[1, 2], [2, 9], [3, 1], [6, 2]], 1/362880], [[[1, 2], [2, 9], [4, 1], [6, 2]], 1/207360], [[[1, 2], [2, 9], [4, 1], [8, 1]], 1/1290240], [[[1, 2], [2, 9], [4, 1], [10, 1]], 1/403200], [[[1, 2], [2, 9], [4, 2], [6, 1]], 1/967680], [[[1, 2], [2, 9], [6, 1], [10, 1]], 1/172800], [[[1, 2], [2, 11], [3, 1], [6, 1]], 1/87091200], [[[1, 2], [2, 11], [4, 1], [6, 1]], 1/17418240], [[[1, 3], [2, 2], [3, 1], [11, 1]], 1/528], [[[1, 3], [2, 2], [3, 3], [6, 3]], 1/2592], [[[1, 3], [2, 2], [3, 4], [6, 2]], 1/2592], [[[1, 3], [2, 2], [4, 1], [11, 1]], 1/176], [[[1, 3], [2, 2], [4, 2], [5, 2]], 1/3200], [[[1, 3], [2, 2], [4, 2], [8, 2]], 1/256], [[[1, 3], [2, 2], [5, 2], [10, 1]], 1/200], [[[1, 3], [2, 2], [7, 1], [14, 1]], 3/224], [[[1, 3], [2, 4], [3, 2], [6, 3]], 1/864], [[[1, 3], [2, 4], [4, 1], [10, 2]], 1/3200], [[[1, 3], [2, 4], [4, 2], [14, 1]], 1/896], [[[1, 3], [2, 4], [4, 3], [6, 2]], 1/13824], [[[1, 3], [2, 4], [4, 3], [8, 1]], 1/512], [[[1, 3], [2, 4], [4, 3], [10, 1]], 1/3840], [[[1, 3], [2, 4], [6, 2], [18, 1]], 1/2592], [[[1, 3], [2, 4], [10, 1], [14, 1]], 1/3360], [[[1, 3], [2, 6], [3, 1], [6, 3]], 1/3456], [[[1, 3], [2, 6], [3, 2], [6, 2]], 1/6912], [[[1, 3], [2, 6], [4, 1], [6, 3]], 1/10368], [[[1, 3], [2, 6], [4, 1], [14, 1]], 1/2688], [[[1, 3], [2, 6], [4, 2], [6, 2]], 1/4608], [[[1, 3], [2, 6], [4, 2], [8, 1]], 1/3072], [[[1, 3], [2, 6], [4, 2], [10, 1]], 1/3840], [[[1, 3], [2, 6], [4, 3], [6, 1]], 1/13824], [[[1, 3], [2, 6], [5, 1], [10, 1]], 1/3840], [[[1, 3], [2, 6], [6, 1], [14, 1]], 1/4032], [[[1, 3], [2, 6], [6, 1], [18, 1]], 1/5184], [[[1, 3], [2, 6], [6, 2], [10, 1]], 1/8640], [[[1, 3], [2, 8], [3, 1], [6, 2]], 1/34560], [[[1, 3], [2, 8], [4, 1], [6, 2]], 1/27648], [[[1, 3], [2, 8], [4, 1], [8, 1]], 1/92160], [[[1, 3], [2, 8], [4, 1], [10, 1]], 1/38400], [[[1, 3], [2, 8], [4, 2], [6, 1]], 1/46080], [[[1, 3], [2, 8], [6, 1], [10, 1]], 1/34560], [[[1, 3], [2, 10], [3, 1], [6, 1]], 1/3870720], [[[1, 3], [2, 10], [4, 1], [6, 1]], 1/967680], [[[1, 3], [3, 1], [5, 1], [15, 1]], 1/180], [[[1, 3], [3, 1], [7, 1], [9, 1]], 1/252], [[[1, 3], [3, 2], [5, 1], [7, 1]], 1/1260], [[[1, 3], [3, 2], [5, 1], [9, 1]], 1/270], [[[1, 4], [2, 1], [3, 1], [11, 1]], 1/264], [[[1, 4], [2, 1], [3, 2], [5, 2]], 1/3600], [[[1, 4], [2, 1], [3, 3], [7, 1]], 1/4536], [[[1, 4], [2, 1], [3, 3], [9, 1]], 1/648], [[[1, 4], [2, 1], [3, 5], [6, 1]], 1/23328], [[[1, 4], [2, 1], [4, 1], [11, 1]], 1/528], [[[1, 4], [2, 1], [5, 2], [10, 1]], 1/600], [[[1, 4], [2, 1], [7, 1], [14, 1]], 1/672], [[[1, 4], [2, 3], [3, 2], [4, 3]], 1/13824], [[[1, 4], [2, 3], [3, 2], [9, 1]], 1/2592], [[[1, 4], [2, 3], [3, 3], [6, 2]], 1/864], [[[1, 4], [2, 3], [4, 1], [5, 2]], 1/3200], [[[1, 4], [2, 3], [4, 2], [7, 1]], 1/896], [[[1, 4], [2, 3], [4, 3], [5, 1]], 1/3840], [[[1, 4], [2, 3], [4, 3], [8, 1]], 1/512], [[[1, 4], [2, 3], [5, 1], [7, 1]], 1/3360], [[[1, 4], [2, 5], [3, 1], [6, 3]], 1/10368], [[[1, 4], [2, 5], [3, 2], [6, 2]], 1/1728], [[[1, 4], [2, 5], [4, 1], [14, 1]], 1/2688], [[[1, 4], [2, 5], [4, 2], [6, 2]], 1/9216], [[[1, 4], [2, 5], [4, 2], [8, 1]], 1/768], [[[1, 4], [2, 5], [4, 2], [10, 1]], 1/2560], [[[1, 4], [2, 5], [4, 3], [6, 1]], 1/4608], [[[1, 4], [2, 5], [5, 1], [10, 1]], 1/1536], [[[1, 4], [2, 5], [6, 1], [14, 1]], 1/16128], [[[1, 4], [2, 5], [6, 1], [18, 1]], 1/6912], [[[1, 4], [2, 7], [3, 1], [6, 2]], 1/10368], [[[1, 4], [2, 7], [4, 1], [6, 2]], 1/13824], [[[1, 4], [2, 7], [4, 1], [8, 1]], 1/18432], [[[1, 4], [2, 7], [4, 1], [10, 1]], 1/11520], [[[1, 4], [2, 7], [4, 2], [6, 1]], 1/9216], [[[1, 4], [2, 7], [6, 1], [10, 1]], 1/23040], [[[1, 4], [2, 9], [3, 1], [6, 1]], 1/414720], [[[1, 4], [2, 9], [4, 1], [6, 1]], 1/138240], [[[1, 5], [2, 2], [3, 1], [5, 2]], 1/2400], [[[1, 5], [2, 2], [3, 2], [7, 1]], 1/2016], [[[1, 5], [2, 2], [3, 2], [9, 1]], 1/864], [[[1, 5], [2, 2], [3, 3], [4, 2]], 1/10368], [[[1, 5], [2, 2], [3, 3], [5, 1]], 1/12960], [[[1, 5], [2, 2], [3, 3], [6, 2]], 1/2592], [[[1, 5], [2, 2], [3, 4], [4, 1]], 1/31104], [[[1, 5], [2, 2], [3, 4], [6, 1]], 1/3888], [[[1, 5], [2, 2], [4, 1], [5, 2]], 1/1600], [[[1, 5], [2, 2], [4, 2], [7, 1]], 1/2688], [[[1, 5], [2, 2], [5, 1], [7, 1]], 1/1120], [[[1, 5], [2, 4], [3, 1], [4, 3]], 1/4608], [[[1, 5], [2, 4], [3, 1], [7, 1]], 1/16128], [[[1, 5], [2, 4], [3, 1], [9, 1]], 1/6912], [[[1, 5], [2, 4], [3, 2], [4, 2]], 1/9216], [[[1, 5], [2, 4], [3, 2], [6, 2]], 1/1728], [[[1, 5], [2, 4], [3, 3], [6, 1]], 1/10368], [[[1, 5], [2, 4], [4, 1], [7, 1]], 1/2688], [[[1, 5], [2, 4], [4, 2], [5, 1]], 1/2560], [[[1, 5], [2, 4], [4, 2], [8, 1]], 1/768], [[[1, 5], [2, 4], [5, 1], [10, 1]], 1/1536], [[[1, 5], [2, 6], [3, 1], [6, 2]], 1/13824], [[[1, 5], [2, 6], [4, 1], [6, 2]], 1/55296], [[[1, 5], [2, 6], [4, 1], [8, 1]], 1/10240], [[[1, 5], [2, 6], [4, 1], [10, 1]], 1/15360], [[[1, 5], [2, 6], [4, 2], [6, 1]], 1/9216], [[[1, 5], [2, 6], [6, 1], [10, 1]], 1/115200], [[[1, 5], [2, 8], [3, 1], [6, 1]], 1/110592], [[[1, 5], [2, 8], [4, 1], [6, 1]], 1/55296], [[[1, 5], [3, 1], [5, 1], [7, 1]], 1/1260], [[[1, 5], [3, 1], [5, 1], [9, 1]], 1/2160], [[[1, 6], [2, 1], [3, 1], [5, 2]], 1/3600], [[[1, 6], [2, 1], [3, 2], [7, 1]], 1/3024], [[[1, 6], [2, 1], [3, 2], [9, 1]], 1/2592], [[[1, 6], [2, 1], [3, 3], [5, 1]], 1/6480], [[[1, 6], [2, 1], [3, 4], [4, 1]], 1/31104], [[[1, 6], [2, 1], [3, 4], [6, 1]], 1/11664], [[[1, 6], [2, 1], [4, 1], [5, 2]], 1/9600], [[[1, 6], [2, 1], [5, 1], [7, 1]], 1/3360], [[[1, 6], [2, 3], [3, 1], [4, 3]], 1/13824], [[[1, 6], [2, 3], [3, 1], [7, 1]], 1/4032], [[[1, 6], [2, 3], [3, 1], [9, 1]], 1/5184], [[[1, 6], [2, 3], [3, 2], [4, 2]], 1/4608], [[[1, 6], [2, 3], [3, 2], [5, 1]], 1/8640], [[[1, 6], [2, 3], [3, 2], [6, 2]], 1/6912], [[[1, 6], [2, 3], [3, 3], [4, 1]], 1/10368], [[[1, 6], [2, 3], [3, 3], [6, 1]], 1/3456], [[[1, 6], [2, 3], [4, 1], [7, 1]], 1/2688], [[[1, 6], [2, 3], [4, 2], [5, 1]], 1/3840], [[[1, 6], [2, 3], [4, 2], [8, 1]], 1/3072], [[[1, 6], [2, 3], [5, 1], [10, 1]], 1/3840], [[[1, 6], [2, 5], [3, 1], [4, 2]], 1/9216], [[[1, 6], [2, 5], [3, 1], [5, 1]], 1/115200], [[[1, 6], [2, 5], [3, 2], [4, 1]], 1/55296], [[[1, 6], [2, 5], [3, 2], [6, 1]], 1/13824], [[[1, 6], [2, 5], [4, 1], [5, 1]], 1/15360], [[[1, 6], [2, 5], [4, 1], [8, 1]], 1/10240], [[[1, 6], [2, 7], [3, 1], [6, 1]], 7/552960], [[[1, 6], [2, 7], [4, 1], [6, 1]], 1/92160], [[[1, 7], [2, 2], [3, 1], [7, 1]], 1/8064], [[[1, 7], [2, 2], [3, 1], [9, 1]], 1/17280], [[[1, 7], [2, 2], [3, 2], [4, 2]], 1/27648], [[[1, 7], [2, 2], [3, 2], [5, 1]], 1/8640], [[[1, 7], [2, 2], [3, 2], [6, 2]], 1/103680], [[[1, 7], [2, 2], [3, 3], [4, 1]], 1/15552], [[[1, 7], [2, 2], [3, 3], [6, 1]], 1/10368], [[[1, 7], [2, 2], [4, 1], [7, 1]], 1/13440], [[[1, 7], [2, 2], [4, 2], [5, 1]], 1/38400], [[[1, 7], [2, 2], [4, 2], [8, 1]], 1/46080], [[[1, 7], [2, 2], [5, 1], [10, 1]], 1/28800], [[[1, 7], [2, 4], [3, 1], [4, 2]], 1/9216], [[[1, 7], [2, 4], [3, 1], [5, 1]], 1/23040], [[[1, 7], [2, 4], [3, 2], [4, 1]], 1/13824], [[[1, 7], [2, 4], [3, 2], [6, 1]], 1/10368], [[[1, 7], [2, 4], [4, 1], [5, 1]], 1/11520], [[[1, 7], [2, 4], [4, 1], [8, 1]], 1/18432], [[[1, 7], [2, 6], [3, 1], [4, 1]], 1/92160], [[[1, 7], [2, 6], [3, 1], [6, 1]], 7/552960], [[[1, 8], [2, 1], [3, 1], [7, 1]], 1/60480], [[[1, 8], [2, 1], [3, 1], [9, 1]], 1/181440], [[[1, 8], [2, 1], [3, 2], [5, 1]], 1/43200], [[[1, 8], [2, 1], [3, 3], [4, 1]], 1/155520], [[[1, 8], [2, 1], [3, 3], [6, 1]], 1/155520], [[[1, 8], [2, 1], [4, 1], [7, 1]], 1/282240], [[[1, 8], [2, 1], [5, 1], [10, 1]], 1/806400], [[[1, 8], [2, 3], [3, 1], [4, 2]], 1/46080], [[[1, 8], [2, 3], [3, 1], [5, 1]], 1/34560], [[[1, 8], [2, 3], [3, 2], [4, 1]], 1/27648], [[[1, 8], [2, 3], [3, 2], [6, 1]], 1/34560], [[[1, 8], [2, 3], [4, 1], [5, 1]], 1/38400], [[[1, 8], [2, 3], [4, 1], [8, 1]], 1/92160], [[[1, 8], [2, 5], [3, 1], [4, 1]], 1/55296], [[[1, 8], [2, 5], [3, 1], [6, 1]], 1/110592], [[[1, 9], [2, 2], [3, 1], [4, 2]], 1/967680], [[[1, 9], [2, 2], [3, 1], [5, 1]], 1/172800], [[[1, 9], [2, 2], [3, 2], [4, 1]], 1/207360], [[[1, 9], [2, 2], [3, 2], [6, 1]], 1/362880], [[[1, 9], [2, 2], [4, 1], [5, 1]], 1/403200], [[[1, 9], [2, 2], [4, 1], [8, 1]], 1/1290240], [[[1, 9], [2, 4], [3, 1], [4, 1]], 1/138240], [[[1, 9], [2, 4], [3, 1], [6, 1]], 1/414720], [[[1, 10], [2, 1], [3, 1], [5, 1]], 1/2419200], [[[1, 10], [2, 1], [3, 2], [4, 1]], 1/5806080], [[[1, 10], [2, 1], [3, 2], [6, 1]], 1/13063680], [[[1, 10], [2, 1], [4, 1], [5, 1]], 1/14515200], [[[1, 10], [2, 1], [4, 1], [8, 1]], 1/58060800], [[[1, 10], [2, 3], [3, 1], [4, 1]], 1/967680], [[[1, 10], [2, 3], [3, 1], [6, 1]], 1/3870720], [[[1, 11], [2, 2], [3, 1], [4, 1]], 1/17418240], [[[1, 11], [2, 2], [3, 1], [6, 1]], 1/87091200], [[[1, 12], [2, 1], [3, 1], [4, 1]], 1/958003200], [[[1, 12], [2, 1], [3, 1], [6, 1]], 1/5748019200], [[[2, 1], [6, 2], [10, 1], [30, 1]], 1/90], [[[2, 3], [6, 1], [10, 1], [30, 1]], 1/180], [[[2, 3], [6, 1], [14, 1], [18, 1]], 1/252], [[[2, 3], [6, 2], [10, 1], [14, 1]], 1/1260], [[[2, 3], [6, 2], [10, 1], [18, 1]], 1/270], [[[2, 5], [6, 1], [10, 1], [14, 1]], 1/1260], [[[2, 5], [6, 1], [10, 1], [18, 1]], 1/2160], [[[1, 1], [2, 2], [3, 1], [6, 1], [22, 1]], 1/132], [[[1, 1], [2, 2], [3, 1], [6, 3], [18, 1]], 1/324], [[[1, 1], [2, 2], [4, 1], [6, 1], [22, 1]], 1/264], [[[1, 1], [2, 2], [4, 1], [7, 1], [14, 1]], 1/112], [[[1, 1], [2, 2], [4, 1], [8, 1], [10, 2]], 1/800], [[[1, 1], [2, 2], [4, 1], [8, 1], [16, 1]], 1/32], [[[1, 1], [2, 2], [5, 1], [6, 1], [10, 2]], 1/300], [[[1, 1], [2, 2], [5, 1], [10, 1], [14, 1]], 1/140], [[[1, 1], [2, 2], [6, 1], [7, 1], [14, 1]], 1/84], [[[1, 1], [2, 2], [6, 1], [10, 1], [30, 1]], 1/60], [[[1, 1], [2, 2], [6, 1], [14, 1], [18, 1]], 1/252], [[[1, 1], [2, 4], [3, 1], [6, 1], [10, 2]], 1/1200], [[[1, 1], [2, 4], [3, 1], [6, 2], [14, 1]], 1/504], [[[1, 1], [2, 4], [3, 1], [6, 2], [18, 1]], 1/648], [[[1, 1], [2, 4], [3, 1], [6, 3], [10, 1]], 1/1080], [[[1, 1], [2, 4], [4, 1], [6, 1], [10, 2]], 1/1200], [[[1, 1], [2, 4], [4, 1], [6, 2], [14, 1]], 1/1008], [[[1, 1], [2, 4], [4, 1], [6, 2], [18, 1]], 1/432], [[[1, 1], [2, 4], [4, 1], [6, 3], [8, 1]], 1/2592], [[[1, 1], [2, 4], [4, 1], [6, 3], [10, 1]], 1/6480], [[[1, 1], [2, 4], [4, 1], [8, 1], [14, 1]], 1/672], [[[1, 1], [2, 4], [4, 1], [10, 1], [14, 1]], 1/560], [[[1, 1], [2, 4], [5, 1], [6, 2], [10, 1]], 1/720], [[[1, 1], [2, 4], [6, 1], [10, 1], [14, 1]], 1/420], [[[1, 1], [2, 4], [6, 1], [10, 1], [18, 1]], 1/360], [[[1, 1], [2, 6], [3, 1], [6, 1], [14, 1]], 1/10080], [[[1, 1], [2, 6], [3, 1], [6, 2], [10, 1]], 1/4320], [[[1, 1], [2, 6], [4, 1], [6, 1], [14, 1]], 1/4032], [[[1, 1], [2, 6], [4, 1], [6, 1], [18, 1]], 1/8640], [[[1, 1], [2, 6], [4, 1], [6, 2], [8, 1]], 1/6912], [[[1, 1], [2, 6], [4, 1], [6, 2], [10, 1]], 1/4320], [[[1, 1], [2, 6], [4, 1], [8, 1], [10, 1]], 1/9600], [[[1, 1], [2, 6], [5, 1], [6, 1], [10, 1]], 1/7200], [[[1, 1], [2, 8], [3, 1], [6, 1], [10, 1]], 1/302400], [[[1, 1], [2, 8], [4, 1], [6, 1], [8, 1]], 1/241920], [[[1, 1], [2, 8], [4, 1], [6, 1], [10, 1]], 1/86400], [[[1, 1], [3, 1], [6, 1], [9, 1], [18, 1]], 1/36], [[[1, 2], [2, 1], [3, 1], [4, 1], [11, 1]], 1/264], [[[1, 2], [2, 1], [3, 1], [5, 1], [15, 1]], 1/60], [[[1, 2], [2, 1], [3, 1], [5, 2], [10, 1]], 1/300], [[[1, 2], [2, 1], [3, 1], [6, 1], [11, 1]], 1/132], [[[1, 2], [2, 1], [3, 1], [7, 1], [9, 1]], 1/252], [[[1, 2], [2, 1], [3, 1], [7, 1], [14, 1]], 1/84], [[[1, 2], [2, 1], [3, 3], [6, 1], [9, 1]], 1/324], [[[1, 2], [2, 1], [4, 1], [5, 2], [8, 1]], 1/800], [[[1, 2], [2, 1], [4, 1], [7, 1], [14, 1]], 1/112], [[[1, 2], [2, 1], [4, 1], [8, 1], [16, 1]], 1/32], [[[1, 2], [2, 1], [5, 1], [7, 1], [10, 1]], 1/140], [[[1, 2], [2, 3], [3, 1], [6, 1], [10, 2]], 1/1200], [[[1, 2], [2, 3], [3, 1], [6, 2], [14, 1]], 1/504], [[[1, 2], [2, 3], [3, 1], [6, 2], [18, 1]], 1/216], [[[1, 2], [2, 3], [3, 2], [6, 2], [10, 1]], 1/720], [[[1, 2], [2, 3], [4, 1], [6, 2], [18, 1]], 1/432], [[[1, 2], [2, 3], [4, 1], [8, 1], [14, 1]], 1/224], [[[1, 2], [2, 3], [4, 1], [10, 1], [14, 1]], 1/560], [[[1, 2], [2, 3], [4, 2], [5, 1], [10, 1]], 1/640], [[[1, 2], [2, 3], [4, 2], [6, 1], [14, 1]], 1/1344], [[[1, 2], [2, 3], [4, 2], [6, 1], [18, 1]], 1/576], [[[1, 2], [2, 3], [4, 2], [6, 2], [8, 1]], 1/1152], [[[1, 2], [2, 3], [4, 2], [8, 1], [10, 1]], 1/320], [[[1, 2], [2, 3], [5, 1], [6, 2], [10, 1]], 1/720], [[[1, 2], [2, 3], [6, 1], [10, 1], [18, 1]], 1/720], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 3]], 1/1728], [[[1, 2], [2, 5], [3, 1], [6, 1], [14, 1]], 1/1008], [[[1, 2], [2, 5], [3, 1], [6, 2], [10, 1]], 1/720], [[[1, 2], [2, 5], [4, 1], [5, 1], [10, 1]], 1/1920], [[[1, 2], [2, 5], [4, 1], [6, 1], [14, 1]], 1/672], [[[1, 2], [2, 5], [4, 1], [6, 1], [18, 1]], 1/864], [[[1, 2], [2, 5], [4, 1], [6, 2], [8, 1]], 1/1152], [[[1, 2], [2, 5], [4, 1], [6, 2], [10, 1]], 1/1440], [[[1, 2], [2, 5], [4, 1], [8, 1], [10, 1]], 1/960], [[[1, 2], [2, 5], [4, 2], [6, 1], [8, 1]], 1/1152], [[[1, 2], [2, 5], [4, 2], [6, 1], [10, 1]], 1/1920], [[[1, 2], [2, 5], [5, 1], [6, 1], [10, 1]], 1/720], [[[1, 2], [2, 7], [3, 1], [4, 1], [6, 2]], 1/17280], [[[1, 2], [2, 7], [3, 1], [6, 1], [10, 1]], 1/14400], [[[1, 2], [2, 7], [4, 1], [6, 1], [8, 1]], 1/11520], [[[1, 2], [2, 7], [4, 1], [6, 1], [10, 1]], 1/5760], [[[1, 2], [2, 9], [3, 1], [4, 1], [6, 1]], 1/1935360], [[[1, 3], [2, 2], [3, 1], [4, 2], [7, 1]], 1/1344], [[[1, 3], [2, 2], [3, 1], [4, 2], [9, 1]], 1/576], [[[1, 3], [2, 2], [3, 1], [5, 1], [9, 1]], 1/720], [[[1, 3], [2, 2], [3, 1], [5, 2], [6, 1]], 1/1200], [[[1, 3], [2, 2], [3, 2], [4, 1], [9, 1]], 1/432], [[[1, 3], [2, 2], [3, 2], [4, 2], [8, 1]], 1/1152], [[[1, 3], [2, 2], [3, 2], [5, 1], [6, 2]], 1/720], [[[1, 3], [2, 2], [3, 2], [5, 1], [10, 1]], 1/720], [[[1, 3], [2, 2], [3, 2], [6, 1], [7, 1]], 1/504], [[[1, 3], [2, 2], [3, 2], [6, 1], [9, 1]], 1/216], [[[1, 3], [2, 2], [4, 1], [5, 1], [7, 1]], 1/560], [[[1, 3], [2, 2], [4, 1], [7, 1], [8, 1]], 1/224], [[[1, 3], [2, 2], [4, 2], [5, 1], [8, 1]], 1/320], [[[1, 3], [2, 2], [4, 2], [5, 1], [10, 1]], 1/640], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 3]], 1/1728], [[[1, 3], [2, 4], [3, 1], [4, 2], [6, 2]], 1/1152], [[[1, 3], [2, 4], [3, 1], [4, 3], [6, 1]], 1/4608], [[[1, 3], [2, 4], [3, 1], [6, 1], [14, 1]], 1/672], [[[1, 3], [2, 4], [3, 1], [6, 2], [10, 1]], 1/1440], [[[1, 3], [2, 4], [3, 2], [4, 1], [6, 2]], 1/576], [[[1, 3], [2, 4], [4, 1], [5, 1], [10, 1]], 3/640], [[[1, 3], [2, 4], [4, 1], [6, 1], [14, 1]], 1/1344], [[[1, 3], [2, 4], [4, 1], [6, 1], [18, 1]], 1/576], [[[1, 3], [2, 4], [4, 1], [6, 2], [8, 1]], 1/2304], [[[1, 3], [2, 4], [4, 1], [8, 1], [10, 1]], 1/640], [[[1, 3], [2, 4], [4, 2], [6, 1], [8, 1]], 1/384], [[[1, 3], [2, 4], [4, 2], [6, 1], [10, 1]], 1/1920], [[[1, 3], [2, 4], [5, 1], [6, 1], [10, 1]], 1/480], [[[1, 3], [2, 6], [3, 1], [4, 1], [6, 2]], 1/1728], [[[1, 3], [2, 6], [3, 1], [4, 2], [6, 1]], 1/9216], [[[1, 3], [2, 6], [3, 1], [6, 1], [10, 1]], 1/2880], [[[1, 3], [2, 6], [4, 1], [6, 1], [8, 1]], 1/2304], [[[1, 3], [2, 6], [4, 1], [6, 1], [10, 1]], 1/1920], [[[1, 3], [2, 8], [3, 1], [4, 1], [6, 1]], 1/69120], [[[1, 4], [2, 1], [3, 1], [4, 1], [5, 2]], 1/1200], [[[1, 4], [2, 1], [3, 1], [5, 1], [7, 1]], 1/420], [[[1, 4], [2, 1], [3, 1], [5, 1], [9, 1]], 1/360], [[[1, 4], [2, 1], [3, 1], [5, 2], [6, 1]], 1/1200], [[[1, 4], [2, 1], [3, 2], [4, 1], [7, 1]], 1/1008], [[[1, 4], [2, 1], [3, 2], [4, 1], [9, 1]], 1/432], [[[1, 4], [2, 1], [3, 2], [5, 1], [10, 1]], 1/720], [[[1, 4], [2, 1], [3, 2], [6, 1], [7, 1]], 1/504], [[[1, 4], [2, 1], [3, 2], [6, 1], [9, 1]], 1/648], [[[1, 4], [2, 1], [3, 3], [4, 1], [5, 1]], 1/6480], [[[1, 4], [2, 1], [3, 3], [4, 1], [8, 1]], 1/2592], [[[1, 4], [2, 1], [3, 3], [5, 1], [6, 1]], 1/1080], [[[1, 4], [2, 1], [4, 1], [5, 1], [7, 1]], 1/560], [[[1, 4], [2, 1], [4, 1], [7, 1], [8, 1]], 1/672], [[[1, 4], [2, 3], [3, 1], [4, 1], [7, 1]], 1/1344], [[[1, 4], [2, 3], [3, 1], [4, 1], [9, 1]], 1/576], [[[1, 4], [2, 3], [3, 1], [4, 2], [5, 1]], 1/1920], [[[1, 4], [2, 3], [3, 1], [4, 2], [8, 1]], 1/384], [[[1, 4], [2, 3], [3, 1], [4, 3], [6, 1]], 1/4608], [[[1, 4], [2, 3], [3, 1], [5, 1], [10, 1]], 1/480], [[[1, 4], [2, 3], [3, 1], [6, 1], [7, 1]], 1/672], [[[1, 4], [2, 3], [3, 2], [4, 1], [6, 2]], 1/576], [[[1, 4], [2, 3], [3, 2], [4, 1], [8, 1]], 1/2304], [[[1, 4], [2, 3], [3, 2], [4, 2], [6, 1]], 1/1152], [[[1, 4], [2, 3], [3, 2], [5, 1], [6, 1]], 1/1440], [[[1, 4], [2, 3], [3, 3], [4, 1], [6, 1]], 1/1728], [[[1, 4], [2, 3], [4, 1], [5, 1], [8, 1]], 1/640], [[[1, 4], [2, 3], [4, 1], [5, 1], [10, 1]], 3/640], [[[1, 4], [2, 5], [3, 1], [4, 1], [6, 2]], 1/1152], [[[1, 4], [2, 5], [3, 1], [4, 2], [6, 1]], 1/1024], [[[1, 4], [2, 5], [3, 1], [6, 1], [10, 1]], 1/2880], [[[1, 4], [2, 5], [4, 1], [6, 1], [8, 1]], 1/2304], [[[1, 4], [2, 5], [4, 1], [6, 1], [10, 1]], 1/5760], [[[1, 4], [2, 7], [3, 1], [4, 1], [6, 1]], 1/9216], [[[1, 5], [2, 2], [3, 1], [4, 1], [7, 1]], 1/672], [[[1, 5], [2, 2], [3, 1], [4, 1], [9, 1]], 1/864], [[[1, 5], [2, 2], [3, 1], [4, 2], [5, 1]], 1/1920], [[[1, 5], [2, 2], [3, 1], [4, 2], [8, 1]], 1/1152], [[[1, 5], [2, 2], [3, 1], [5, 1], [10, 1]], 1/720], [[[1, 5], [2, 2], [3, 1], [6, 1], [7, 1]], 1/1008], [[[1, 5], [2, 2], [3, 2], [4, 1], [5, 1]], 1/1440], [[[1, 5], [2, 2], [3, 2], [4, 1], [8, 1]], 1/1152], [[[1, 5], [2, 2], [3, 2], [5, 1], [6, 1]], 1/720], [[[1, 5], [2, 2], [3, 3], [4, 1], [6, 1]], 1/1728], [[[1, 5], [2, 2], [4, 1], [5, 1], [8, 1]], 1/960], [[[1, 5], [2, 2], [4, 1], [5, 1], [10, 1]], 1/1920], [[[1, 5], [2, 4], [3, 1], [4, 1], [5, 1]], 1/5760], [[[1, 5], [2, 4], [3, 1], [4, 1], [8, 1]], 1/2304], [[[1, 5], [2, 4], [3, 1], [4, 2], [6, 1]], 1/1024], [[[1, 5], [2, 4], [3, 1], [5, 1], [6, 1]], 1/2880], [[[1, 5], [2, 4], [3, 2], [4, 1], [6, 1]], 1/1152], [[[1, 5], [2, 6], [3, 1], [4, 1], [6, 1]], 5/18432], [[[1, 6], [2, 1], [3, 1], [4, 1], [7, 1]], 1/4032], [[[1, 6], [2, 1], [3, 1], [4, 1], [9, 1]], 1/8640], [[[1, 6], [2, 1], [3, 1], [5, 1], [10, 1]], 1/7200], [[[1, 6], [2, 1], [3, 1], [6, 1], [7, 1]], 1/10080], [[[1, 6], [2, 1], [3, 2], [4, 1], [5, 1]], 1/4320], [[[1, 6], [2, 1], [3, 2], [4, 1], [8, 1]], 1/6912], [[[1, 6], [2, 1], [3, 2], [5, 1], [6, 1]], 1/4320], [[[1, 6], [2, 1], [4, 1], [5, 1], [8, 1]], 1/9600], [[[1, 6], [2, 3], [3, 1], [4, 1], [5, 1]], 1/1920], [[[1, 6], [2, 3], [3, 1], [4, 1], [8, 1]], 1/2304], [[[1, 6], [2, 3], [3, 1], [4, 2], [6, 1]], 1/9216], [[[1, 6], [2, 3], [3, 1], [5, 1], [6, 1]], 1/2880], [[[1, 6], [2, 3], [3, 2], [4, 1], [6, 1]], 1/1728], [[[1, 6], [2, 5], [3, 1], [4, 1], [6, 1]], 5/18432], [[[1, 7], [2, 2], [3, 1], [4, 1], [5, 1]], 1/5760], [[[1, 7], [2, 2], [3, 1], [4, 1], [8, 1]], 1/11520], [[[1, 7], [2, 2], [3, 1], [5, 1], [6, 1]], 1/14400], [[[1, 7], [2, 2], [3, 2], [4, 1], [6, 1]], 1/17280], [[[1, 7], [2, 4], [3, 1], [4, 1], [6, 1]], 1/9216], [[[1, 8], [2, 1], [3, 1], [4, 1], [5, 1]], 1/86400], [[[1, 8], [2, 1], [3, 1], [4, 1], [8, 1]], 1/241920], [[[1, 8], [2, 1], [3, 1], [5, 1], [6, 1]], 1/302400], [[[1, 8], [2, 3], [3, 1], [4, 1], [6, 1]], 1/69120], [[[1, 9], [2, 2], [3, 1], [4, 1], [6, 1]], 1/1935360], [[[2, 1], [3, 1], [6, 1], [9, 1], [18, 1]], 1/36], [[[1, 1], [2, 2], [3, 1], [4, 1], [6, 3], [12, 1]], 1/432], [[[1, 1], [2, 2], [3, 1], [6, 1], [10, 1], [14, 1]], 1/420], [[[1, 1], [2, 2], [3, 2], [4, 1], [6, 2], [12, 1]], 1/144], [[[1, 1], [2, 2], [4, 1], [5, 1], [8, 1], [10, 1]], 1/160], [[[1, 1], [2, 2], [4, 1], [6, 1], [8, 1], [14, 1]], 1/336], [[[1, 1], [2, 2], [4, 1], [6, 1], [8, 1], [18, 1]], 1/144], [[[1, 1], [2, 2], [4, 1], [6, 1], [10, 1], [18, 1]], 1/360], [[[1, 1], [2, 4], [3, 1], [4, 1], [6, 2], [12, 1]], 1/432], [[[1, 1], [2, 4], [4, 1], [6, 1], [8, 1], [10, 1]], 1/480], [[[1, 1], [2, 6], [3, 1], [4, 1], [6, 1], [12, 1]], 1/17280], [[[1, 2], [2, 1], [3, 1], [4, 1], [5, 1], [9, 1]], 1/360], [[[1, 2], [2, 1], [3, 1], [4, 1], [7, 1], [8, 1]], 1/336], [[[1, 2], [2, 1], [3, 1], [4, 1], [8, 1], [9, 1]], 1/144], [[[1, 2], [2, 1], [3, 1], [5, 1], [6, 1], [7, 1]], 1/420], [[[1, 2], [2, 1], [3, 2], [4, 1], [6, 2], [12, 1]], 1/144], [[[1, 2], [2, 1], [3, 3], [4, 1], [6, 1], [12, 1]], 1/432], [[[1, 2], [2, 1], [4, 1], [5, 1], [8, 1], [10, 1]], 1/160], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 1], [14, 1]], 1/336], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 2], [8, 1]], 1/288], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 2], [10, 1]], 1/720], [[[1, 2], [2, 3], [3, 1], [4, 1], [6, 2], [12, 1]], 1/144], [[[1, 2], [2, 3], [3, 1], [4, 2], [6, 1], [8, 1]], 1/384], [[[1, 2], [2, 3], [3, 1], [4, 2], [6, 1], [12, 1]], 1/96], [[[1, 2], [2, 3], [3, 1], [5, 1], [6, 1], [10, 1]], 1/120], [[[1, 2], [2, 3], [4, 1], [5, 1], [6, 1], [10, 1]], 1/240], [[[1, 2], [2, 3], [4, 1], [6, 1], [8, 1], [10, 1]], 1/480], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [8, 1]], 1/2304], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [10, 1]], 1/1440], [[[1, 2], [2, 5], [3, 1], [4, 1], [6, 1], [12, 1]], 1/1152], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [8, 1]], 1/480], [[[1, 3], [2, 2], [3, 1], [4, 1], [5, 1], [10, 1]], 1/240], [[[1, 3], [2, 2], [3, 1], [4, 1], [6, 1], [7, 1]], 1/336], [[[1, 3], [2, 2], [3, 1], [4, 2], [6, 1], [8, 1]], 1/384], [[[1, 3], [2, 2], [3, 1], [4, 2], [6, 1], [12, 1]], 1/96], [[[1, 3], [2, 2], [3, 1], [5, 1], [6, 1], [10, 1]], 1/120], [[[1, 3], [2, 2], [3, 2], [4, 1], [5, 1], [6, 1]], 1/720], [[[1, 3], [2, 2], [3, 2], [4, 1], [6, 1], [8, 1]], 1/288], [[[1, 3], [2, 2], [3, 2], [4, 1], [6, 1], [12, 1]], 1/144], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [8, 1]], 1/256], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [10, 1]], 1/480], [[[1, 3], [2, 4], [3, 1], [4, 1], [6, 1], [12, 1]], 1/288], [[[1, 4], [2, 1], [3, 1], [4, 1], [5, 1], [8, 1]], 1/480], [[[1, 4], [2, 1], [3, 2], [4, 1], [6, 1], [12, 1]], 1/432], [[[1, 4], [2, 3], [3, 1], [4, 1], [5, 1], [6, 1]], 1/480], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [8, 1]], 1/256], [[[1, 4], [2, 3], [3, 1], [4, 1], [6, 1], [12, 1]], 1/288], [[[1, 5], [2, 2], [3, 1], [4, 1], [5, 1], [6, 1]], 1/1440], [[[1, 5], [2, 2], [3, 1], [4, 1], [6, 1], [8, 1]], 1/2304], [[[1, 5], [2, 2], [3, 1], [4, 1], [6, 1], [12, 1]], 1/1152], [[[1, 6], [2, 1], [3, 1], [4, 1], [6, 1], [12, 1]], 1/17280], [[[1, 1], [2, 2], [3, 1], [4, 1], [6, 1], [10, 1], [12, 1]], 1/120], [[[1, 2], [2, 1], [3, 1], [4, 1], [5, 1], [6, 1], [12, 1]], 1/120] ]}