{[
[[[1, 25]], 1/16631107226173440000],
[[[2, 25]], 1/16631107226173440000],
[[[1, 1], [2, 24]], 1/16631107226173440000],
[[[1, 1], [3, 12]], 1/5380145971200],
[[[1, 1], [4, 12]], 1/4025548800],
[[[1, 1], [5, 6]], 1/12096000],
[[[1, 1], [6, 12]], 1/5380145971200],
[[[1, 1], [7, 4]], 1/70560],
[[[1, 1], [8, 6]], 1/96768],
[[[1, 1], [10, 6]], 1/12096000],
[[[1, 1], [12, 6]], 1/967680],
[[[1, 1], [13, 2]], 1/624],
[[[1, 1], [14, 4]], 1/70560],
[[[1, 1], [15, 3]], 1/21600],
[[[1, 1], [20, 3]], 1/2400],
[[[1, 1], [21, 2]], 1/1008],
[[[1, 1], [24, 3]], 1/1728],
[[[1, 1], [26, 2]], 1/624],
[[[1, 1], [28, 2]], 1/336],
[[[1, 1], [30, 3]], 1/21600],
[[[1, 1], [35, 1]], 1/140],
[[[1, 1], [39, 1]], 1/78],
[[[1, 1], [42, 2]], 1/1008],
[[[1, 1], [52, 1]], 1/104],
[[[1, 1], [56, 1]], 1/56],
[[[1, 1], [70, 1]], 1/140],
[[[1, 1], [78, 1]], 1/78],
[[[1, 1], [84, 1]], 1/168],
[[[1, 3], [23, 1]], 1/46],
[[[1, 5], [5, 5]], 1/60000],
[[[1, 5], [11, 2]], 1/264],
[[[1, 7], [3, 9]], 1/50388480],
[[[1, 7], [7, 3]], 1/4704],
[[[1, 8], [2, 17]], 1/356725555200],
[[[1, 9], [2, 16]], 1/356725555200],
[[[1, 9], [3, 8]], 1/2177280],
[[[1, 9], [4, 8]], 1/1486356480],
[[[1, 9], [5, 4]], 1/144000],
[[[1, 12], [2, 13]], 1/778567680],
[[[1, 13], [2, 12]], 1/778567680],
[[[1, 13], [3, 6]], 1/235146240],
[[[1, 16], [2, 9]], 1/356725555200],
[[[1, 17], [2, 8]], 1/356725555200],
[[[1, 24], [2, 1]], 1/16631107226173440000],
[[[2, 1], [3, 12]], 1/5380145971200],
[[[2, 1], [4, 12]], 1/4025548800],
[[[2, 1], [5, 6]], 1/12096000],
[[[2, 1], [6, 12]], 1/5380145971200],
[[[2, 1], [7, 4]], 1/70560],
[[[2, 1], [8, 6]], 1/96768],
[[[2, 1], [10, 6]], 1/12096000],
[[[2, 1], [12, 6]], 1/967680],
[[[2, 1], [13, 2]], 1/624],
[[[2, 1], [14, 4]], 1/70560],
[[[2, 1], [15, 3]], 1/21600],
[[[2, 1], [20, 3]], 1/2400],
[[[2, 1], [21, 2]], 1/1008],
[[[2, 1], [24, 3]], 1/1728],
[[[2, 1], [26, 2]], 1/624],
[[[2, 1], [28, 2]], 1/336],
[[[2, 1], [30, 3]], 1/21600],
[[[2, 1], [35, 1]], 1/140],
[[[2, 1], [39, 1]], 1/78],
[[[2, 1], [42, 2]], 1/1008],
[[[2, 1], [52, 1]], 1/104],
[[[2, 1], [56, 1]], 1/56],
[[[2, 1], [70, 1]], 1/140],
[[[2, 1], [78, 1]], 1/78],
[[[2, 1], [84, 1]], 1/168],
[[[2, 3], [46, 1]], 1/46],
[[[2, 5], [10, 5]], 1/60000],
[[[2, 5], [22, 2]], 1/264],
[[[2, 7], [6, 9]], 1/50388480],
[[[2, 7], [14, 3]], 1/4704],
[[[2, 9], [4, 8]], 1/1486356480],
[[[2, 9], [6, 8]], 1/2177280],
[[[2, 9], [10, 4]], 1/144000],
[[[2, 13], [6, 6]], 1/235146240],
[[[1, 1], [2, 2], [46, 1]], 1/46],
[[[1, 1], [2, 4], [10, 5]], 1/60000],
[[[1, 1], [2, 4], [22, 2]], 1/264],
[[[1, 1], [2, 6], [6, 9]], 1/50388480],
[[[1, 1], [2, 6], [14, 3]], 1/4704],
[[[1, 1], [2, 8], [4, 8]], 1/1486356480],
[[[1, 1], [2, 8], [6, 8]], 1/2177280],
[[[1, 1], [2, 8], [10, 4]], 1/144000],
[[[1, 1], [2, 12], [6, 6]], 1/235146240],
[[[1, 1], [3, 2], [33, 1]], 1/132],
[[[1, 1], [3, 3], [9, 3]], 1/7776],
[[[1, 1], [3, 4], [6, 8]], 1/39813120],
[[[1, 1], [3, 4], [12, 4]], 1/552960],
[[[1, 1], [3, 4], [15, 2]], 1/3600],
[[[1, 1], [3, 8], [6, 4]], 1/39813120],
[[[1, 1], [4, 4], [8, 4]], 1/184320],
[[[1, 1], [4, 4], [12, 4]], 1/2880],
[[[1, 1], [4, 4], [20, 2]], 1/2400],
[[[1, 1], [5, 2], [10, 4]], 1/38400],
[[[1, 1], [5, 2], [15, 2]], 1/720],
[[[1, 1], [5, 2], [20, 2]], 1/1920],
[[[1, 1], [5, 4], [10, 2]], 1/38400],
[[[1, 1], [6, 2], [66, 1]], 1/132],
[[[1, 1], [6, 3], [18, 3]], 1/7776],
[[[1, 1], [6, 4], [12, 4]], 1/552960],
[[[1, 1], [6, 4], [30, 2]], 1/3600],
[[[1, 1], [7, 2], [21, 1]], 1/252],
[[[1, 1], [8, 2], [24, 2]], 1/144],
[[[1, 1], [10, 2], [20, 2]], 1/1920],
[[[1, 1], [10, 2], [30, 2]], 1/720],
[[[1, 1], [12, 2], [24, 2]], 1/1152],
[[[1, 1], [12, 2], [60, 1]], 1/120],
[[[1, 1], [14, 2], [42, 1]], 1/252],
[[[1, 1], [15, 1], [30, 2]], 1/480],
[[[1, 1], [15, 1], [60, 1]], 1/240],
[[[1, 1], [15, 2], [30, 1]], 1/480],
[[[1, 1], [20, 1], [40, 1]], 1/80],
[[[1, 1], [20, 1], [60, 1]], 1/120],
[[[1, 1], [30, 1], [60, 1]], 1/240],
[[[1, 2], [2, 1], [23, 1]], 1/46],
[[[1, 3], [3, 2], [9, 3]], 1/1944],
[[[1, 4], [2, 1], [5, 5]], 1/60000],
[[[1, 4], [2, 1], [11, 2]], 1/264],
[[[1, 4], [2, 5], [4, 8]], 1/2359296],
[[[1, 4], [2, 5], [8, 4]], 1/12288],
[[[1, 5], [2, 4], [4, 8]], 1/2359296],
[[[1, 5], [2, 4], [8, 4]], 1/12288],
[[[1, 5], [3, 1], [9, 3]], 1/1944],
[[[1, 5], [4, 2], [8, 4]], 1/24576],
[[[1, 5], [5, 3], [10, 2]], 1/2400],
[[[1, 6], [2, 1], [3, 9]], 1/50388480],
[[[1, 6], [2, 1], [7, 3]], 1/4704],
[[[1, 6], [2, 7], [4, 6]], 1/30720],
[[[1, 6], [2, 11], [4, 4]], 1/2949120],
[[[1, 7], [2, 6], [4, 6]], 1/30720],
[[[1, 7], [2, 10], [4, 4]], 1/2949120],
[[[1, 7], [3, 5], [6, 4]], 1/622080],
[[[1, 8], [2, 1], [3, 8]], 1/2177280],
[[[1, 8], [2, 1], [4, 8]], 1/1486356480],
[[[1, 8], [2, 1], [5, 4]], 1/144000],
[[[1, 8], [2, 9], [4, 4]], 1/589824],
[[[1, 9], [2, 8], [4, 4]], 1/589824],
[[[1, 10], [2, 7], [4, 4]], 1/2949120],
[[[1, 11], [2, 6], [4, 4]], 1/2949120],
[[[1, 12], [2, 1], [3, 6]], 1/235146240],
[[[2, 1], [3, 2], [33, 1]], 1/132],
[[[2, 1], [3, 3], [9, 3]], 1/7776],
[[[2, 1], [3, 4], [6, 8]], 1/39813120],
[[[2, 1], [3, 4], [12, 4]], 1/552960],
[[[2, 1], [3, 4], [15, 2]], 1/3600],
[[[2, 1], [3, 8], [6, 4]], 1/39813120],
[[[2, 1], [4, 4], [8, 4]], 1/184320],
[[[2, 1], [4, 4], [12, 4]], 1/2880],
[[[2, 1], [4, 4], [20, 2]], 1/2400],
[[[2, 1], [5, 2], [10, 4]], 1/38400],
[[[2, 1], [5, 2], [15, 2]], 1/720],
[[[2, 1], [5, 2], [20, 2]], 1/1920],
[[[2, 1], [5, 4], [10, 2]], 1/38400],
[[[2, 1], [6, 2], [66, 1]], 1/132],
[[[2, 1], [6, 3], [18, 3]], 1/7776],
[[[2, 1], [6, 4], [12, 4]], 1/552960],
[[[2, 1], [6, 4], [30, 2]], 1/3600],
[[[2, 1], [7, 2], [21, 1]], 1/252],
[[[2, 1], [8, 2], [24, 2]], 1/144],
[[[2, 1], [10, 2], [20, 2]], 1/1920],
[[[2, 1], [10, 2], [30, 2]], 1/720],
[[[2, 1], [12, 2], [24, 2]], 1/1152],
[[[2, 1], [12, 2], [60, 1]], 1/120],
[[[2, 1], [14, 2], [42, 1]], 1/252],
[[[2, 1], [15, 1], [30, 2]], 1/480],
[[[2, 1], [15, 1], [60, 1]], 1/240],
[[[2, 1], [15, 2], [30, 1]], 1/480],
[[[2, 1], [20, 1], [40, 1]], 1/80],
[[[2, 1], [20, 1], [60, 1]], 1/120],
[[[2, 1], [30, 1], [60, 1]], 1/240],
[[[2, 3], [6, 2], [18, 3]], 1/1944],
[[[2, 5], [4, 2], [8, 4]], 1/24576],
[[[2, 5], [5, 2], [10, 3]], 1/2400],
[[[2, 5], [6, 1], [18, 3]], 1/1944],
[[[2, 7], [3, 4], [6, 5]], 1/622080],
[[[1, 1], [2, 2], [6, 2], [18, 3]], 1/1944],
[[[1, 1], [2, 4], [4, 2], [8, 4]], 1/24576],
[[[1, 1], [2, 4], [5, 2], [10, 3]], 1/2400],
[[[1, 1], [2, 4], [6, 1], [18, 3]], 1/1944],
[[[1, 1], [2, 6], [3, 4], [6, 5]], 1/622080],
[[[1, 1], [3, 2], [6, 2], [12, 4]], 1/18432],
[[[1, 1], [3, 2], [12, 1], [24, 2]], 1/768],
[[[1, 1], [3, 4], [6, 4], [12, 2]], 1/9216],
[[[1, 1], [6, 2], [12, 1], [24, 2]], 1/768],
[[[1, 2], [2, 1], [3, 2], [9, 3]], 1/1944],
[[[1, 2], [2, 3], [4, 2], [8, 4]], 1/4096],
[[[1, 2], [2, 3], [8, 1], [16, 2]], 1/128],
[[[1, 2], [2, 3], [11, 1], [22, 1]], 1/44],
[[[1, 2], [2, 5], [3, 3], [6, 6]], 1/62208],
[[[1, 2], [2, 5], [7, 1], [14, 2]], 1/224],
[[[1, 3], [2, 2], [4, 2], [8, 4]], 1/4096],
[[[1, 3], [2, 2], [8, 1], [16, 2]], 1/128],
[[[1, 3], [2, 2], [11, 1], [22, 1]], 1/44],
[[[1, 3], [2, 4], [3, 3], [6, 6]], 1/62208],
[[[1, 3], [2, 4], [7, 1], [14, 2]], 1/224],
[[[1, 3], [3, 1], [5, 1], [15, 2]], 1/120],
[[[1, 3], [3, 2], [7, 1], [21, 1]], 1/84],
[[[1, 3], [3, 3], [4, 2], [12, 3]], 1/10368],
[[[1, 3], [4, 1], [8, 1], [16, 2]], 1/256],
[[[1, 3], [4, 2], [7, 1], [28, 1]], 1/112],
[[[1, 4], [2, 1], [3, 1], [9, 3]], 1/1944],
[[[1, 4], [2, 1], [4, 2], [8, 4]], 1/24576],
[[[1, 4], [2, 1], [5, 3], [10, 2]], 1/2400],
[[[1, 4], [2, 3], [3, 6], [6, 3]], 1/62208],
[[[1, 4], [2, 3], [7, 2], [14, 1]], 1/224],
[[[1, 4], [2, 5], [3, 4], [6, 4]], 1/1152],
[[[1, 4], [2, 5], [4, 4], [8, 2]], 1/1536],
[[[1, 4], [2, 5], [5, 1], [10, 3]], 1/2400],
[[[1, 4], [2, 5], [5, 2], [10, 2]], 1/320],
[[[1, 4], [2, 5], [5, 3], [10, 1]], 1/2400],
[[[1, 4], [2, 7], [4, 3], [8, 2]], 1/3072],
[[[1, 4], [2, 9], [3, 2], [6, 4]], 1/82944],
[[[1, 5], [2, 2], [3, 6], [6, 3]], 1/62208],
[[[1, 5], [2, 2], [7, 2], [14, 1]], 1/224],
[[[1, 5], [2, 4], [3, 4], [6, 4]], 1/1152],
[[[1, 5], [2, 4], [4, 4], [8, 2]], 1/1536],
[[[1, 5], [2, 4], [5, 1], [10, 3]], 1/2400],
[[[1, 5], [2, 4], [5, 2], [10, 2]], 1/320],
[[[1, 5], [2, 4], [5, 3], [10, 1]], 1/2400],
[[[1, 5], [2, 6], [4, 3], [8, 2]], 1/3072],
[[[1, 5], [2, 8], [3, 2], [6, 4]], 1/82944],
[[[1, 5], [3, 2], [4, 4], [12, 2]], 1/6912],
[[[1, 5], [3, 2], [5, 2], [15, 1]], 1/360],
[[[1, 6], [2, 1], [3, 5], [6, 4]], 1/622080],
[[[1, 6], [2, 5], [4, 3], [8, 2]], 1/3072],
[[[1, 6], [2, 7], [3, 1], [6, 5]], 1/622080],
[[[1, 6], [2, 7], [3, 3], [6, 3]], 1/6912],
[[[1, 6], [2, 7], [3, 5], [6, 1]], 1/622080],
[[[1, 7], [2, 4], [4, 3], [8, 2]], 1/3072],
[[[1, 7], [2, 6], [3, 1], [6, 5]], 1/622080],
[[[1, 7], [2, 6], [3, 3], [6, 3]], 1/6912],
[[[1, 7], [2, 6], [3, 5], [6, 1]], 1/622080],
[[[1, 8], [2, 5], [3, 4], [6, 2]], 1/82944],
[[[1, 9], [2, 4], [3, 4], [6, 2]], 1/82944],
[[[2, 1], [3, 2], [6, 2], [12, 4]], 1/18432],
[[[2, 1], [3, 2], [12, 1], [24, 2]], 1/768],
[[[2, 1], [3, 4], [6, 4], [12, 2]], 1/9216],
[[[2, 1], [6, 2], [12, 1], [24, 2]], 1/768],
[[[2, 3], [4, 1], [8, 1], [16, 2]], 1/256],
[[[2, 3], [4, 2], [6, 3], [12, 3]], 1/10368],
[[[2, 3], [4, 2], [14, 1], [28, 1]], 1/112],
[[[2, 3], [6, 1], [10, 1], [30, 2]], 1/120],
[[[2, 3], [6, 2], [14, 1], [42, 1]], 1/84],
[[[2, 5], [4, 4], [6, 2], [12, 2]], 1/6912],
[[[2, 5], [6, 2], [10, 2], [30, 1]], 1/360],
[[[1, 1], [2, 2], [4, 1], [8, 1], [16, 2]], 1/256],
[[[1, 1], [2, 2], [4, 2], [6, 3], [12, 3]], 1/10368],
[[[1, 1], [2, 2], [4, 2], [14, 1], [28, 1]], 1/112],
[[[1, 1], [2, 2], [6, 1], [10, 1], [30, 2]], 1/120],
[[[1, 1], [2, 2], [6, 2], [14, 1], [42, 1]], 1/84],
[[[1, 1], [2, 4], [4, 4], [6, 2], [12, 2]], 1/6912],
[[[1, 1], [2, 4], [6, 2], [10, 2], [30, 1]], 1/360],
[[[1, 1], [3, 1], [6, 2], [9, 1], [18, 2]], 1/864],
[[[1, 1], [3, 1], [9, 1], [12, 1], [36, 1]], 1/144],
[[[1, 1], [3, 2], [6, 1], [9, 2], [18, 1]], 1/864],
[[[1, 1], [3, 2], [6, 2], [12, 2], [24, 1]], 1/192],
[[[1, 1], [4, 2], [8, 2], [12, 1], [24, 1]], 1/288],
[[[1, 1], [6, 1], [12, 1], [18, 1], [36, 1]], 1/144],
[[[1, 2], [2, 1], [3, 1], [5, 1], [15, 2]], 1/120],
[[[1, 2], [2, 1], [3, 2], [7, 1], [21, 1]], 1/84],
[[[1, 2], [2, 1], [3, 3], [4, 2], [12, 3]], 1/10368],
[[[1, 2], [2, 1], [4, 1], [8, 1], [16, 2]], 1/256],
[[[1, 2], [2, 1], [4, 2], [7, 1], [28, 1]], 1/112],
[[[1, 2], [2, 3], [3, 1], [9, 2], [18, 1]], 1/216],
[[[1, 2], [2, 3], [5, 1], [10, 2], [20, 1]], 1/80],
[[[1, 2], [2, 3], [5, 2], [10, 1], [20, 1]], 1/80],
[[[1, 2], [2, 3], [6, 1], [9, 1], [18, 2]], 1/216],
[[[1, 2], [2, 5], [3, 2], [6, 3], [12, 2]], 1/1152],
[[[1, 3], [2, 2], [3, 1], [9, 2], [18, 1]], 1/216],
[[[1, 3], [2, 2], [5, 1], [10, 2], [20, 1]], 1/80],
[[[1, 3], [2, 2], [5, 2], [10, 1], [20, 1]], 1/80],
[[[1, 3], [2, 2], [6, 1], [9, 1], [18, 2]], 1/216],
[[[1, 3], [2, 4], [3, 2], [6, 3], [12, 2]], 1/1152],
[[[1, 3], [3, 1], [4, 2], [6, 2], [12, 3]], 1/1152],
[[[1, 3], [3, 1], [5, 1], [15, 1], [30, 1]], 1/120],
[[[1, 3], [3, 1], [6, 1], [9, 2], [18, 1]], 1/216],
[[[1, 4], [2, 1], [3, 2], [4, 4], [12, 2]], 1/6912],
[[[1, 4], [2, 1], [3, 2], [5, 2], [15, 1]], 1/360],
[[[1, 4], [2, 3], [3, 3], [6, 2], [12, 2]], 1/1152],
[[[1, 5], [2, 2], [3, 3], [6, 2], [12, 2]], 1/1152],
[[[2, 1], [3, 1], [6, 2], [9, 1], [18, 2]], 1/864],
[[[2, 1], [3, 1], [9, 1], [12, 1], [36, 1]], 1/144],
[[[2, 1], [3, 2], [6, 1], [9, 2], [18, 1]], 1/864],
[[[2, 1], [3, 2], [6, 2], [12, 2], [24, 1]], 1/192],
[[[2, 1], [4, 2], [8, 2], [12, 1], [24, 1]], 1/288],
[[[2, 1], [6, 1], [12, 1], [18, 1], [36, 1]], 1/144],
[[[2, 3], [3, 1], [6, 1], [9, 1], [18, 2]], 1/216],
[[[2, 3], [3, 2], [4, 2], [6, 1], [12, 3]], 1/1152],
[[[2, 3], [6, 1], [10, 1], [15, 1], [30, 1]], 1/120],
[[[1, 1], [2, 2], [3, 1], [6, 1], [9, 1], [18, 2]], 1/216],
[[[1, 1], [2, 2], [3, 2], [4, 2], [6, 1], [12, 3]], 1/1152],
[[[1, 1], [2, 2], [6, 1], [10, 1], [15, 1], [30, 1]], 1/120],
[[[1, 2], [2, 1], [3, 1], [4, 2], [6, 2], [12, 3]], 1/1152],
[[[1, 2], [2, 1], [3, 1], [5, 1], [15, 1], [30, 1]], 1/120],
[[[1, 2], [2, 1], [3, 1], [6, 1], [9, 2], [18, 1]], 1/216],
[[[1, 2], [2, 3], [3, 1], [4, 4], [6, 1], [12, 2]], 1/1152],
[[[1, 2], [2, 3], [3, 1], [6, 1], [8, 2], [24, 1]], 1/96],
[[[1, 2], [2, 3], [3, 2], [4, 2], [6, 2], [12, 2]], 1/96],
[[[1, 2], [2, 3], [4, 2], [5, 1], [10, 1], [20, 1]], 1/80],
[[[1, 3], [2, 2], [3, 1], [4, 4], [6, 1], [12, 2]], 1/1152],
[[[1, 3], [2, 2], [3, 1], [6, 1], [8, 2], [24, 1]], 1/96],
[[[1, 3], [2, 2], [3, 2], [4, 2], [6, 2], [12, 2]], 1/96],
[[[1, 3], [2, 2], [4, 2], [5, 1], [10, 1], [20, 1]], 1/80],
[[[1, 4], [2, 5], [3, 1], [4, 2], [6, 3], [12, 1]], 1/1152],
[[[1, 4], [2, 5], [3, 2], [4, 2], [6, 2], [12, 1]], 1/576],
[[[1, 4], [2, 5], [3, 3], [4, 2], [6, 1], [12, 1]], 1/1152],
[[[1, 5], [2, 4], [3, 1], [4, 2], [6, 3], [12, 1]], 1/1152],
[[[1, 5], [2, 4], [3, 2], [4, 2], [6, 2], [12, 1]], 1/576],
[[[1, 5], [2, 4], [3, 3], [4, 2], [6, 1], [12, 1]], 1/1152],
[[[1, 2], [2, 3], [3, 1], [4, 1], [6, 2], [12, 1], [24, 1]], 1/96],
[[[1, 2], [2, 3], [3, 1], [5, 1], [6, 1], [10, 1], [15, 1]], 1/120],
[[[1, 2], [2, 3], [3, 1], [5, 1], [6, 1], [10, 1], [30, 1]], 1/120],
[[[1, 2], [2, 3], [3, 2], [4, 1], [6, 1], [12, 1], [24, 1]], 1/96],
[[[1, 3], [2, 2], [3, 1], [4, 1], [6, 2], [12, 1], [24, 1]], 1/96],
[[[1, 3], [2, 2], [3, 1], [5, 1], [6, 1], [10, 1], [15, 1]], 1/120],
[[[1, 3], [2, 2], [3, 1], [5, 1], [6, 1], [10, 1], [30, 1]], 1/120],
[[[1, 3], [2, 2], [3, 2], [4, 1], [6, 1], [12, 1], [24, 1]], 1/96]
]}