[{"0":0,"1":2,"2":3,"3":4,"4":5,"6":9,"7":10,"8":11,"9":12,"10":15,"11":16,"12":17,"13":18,"14":19,"15":21,"16":24,"17":25,"18":30,"19":33,"20":35,"21":36,"22":38,"23":41,"24":42,"25":45,"26":47,"27":48,"28":220,"29":221,"30":222,"31":225,"32":226,"33":228,"34":232,"35":233,"36":234,"37":236,"38":237,"39":238,"40":240,"41":241,"42":243,"43":244,"44":248,"45":249,"46":252,"47":253,"48":255,"49":257,"50":259,"51":260,"52":261,"53":263,"54":266,"55":267,"56":269,"57":442,"58":466,"59":483,"60":492,"61":504,"62":514,"63":517,"64":526,"65":547,"66":563,"67":568,"68":570,"69":579,"70":601,"71":630,"72":632,"73":638,"74":641,"75":667,"76":677,"77":698,"78":702,"79":704,"80":705,"81":714,"82":730,"83":733,"84":735,"85":743,"86":744,"87":749,"88":763,"89":765,"90":768,"91":772,"92":784,"93":786,"94":798,"95":799,"96":811,"97":824,"98":845,"99":854,"100":869,"101":870,"102":871},[6,8,13,14,20,23,26,27,28,29,31,37,39,40,43,44,46,51,52,53,54,55,56,57,58,59,60,61,62,64,65,66,67,68,71,73,82,83,87,89,90,93,223,224,227,229,230,231,239,242,245,246,250,251,254,256,258,262,264,265,268,272,273,274,275,277,284,285,288,289,294,296,301,302,305,308,457,463,469,497,511,518,521,524,530,550,553,569,582,585,587,591,603,604,609,637,645,654,658,662,669,692,697,699,723,724,728,742,746,757,766,780,783,790,793,804,814,823,848,867,875],[1,22,32,34,49,63,70,72,74,75,76,77,80,88,94,101,102,103,104,105,110,113,120,122,124,125,235,247,270,271,276,278,280,282,286,290,292,293,297,298,299,304,313,314,318,319,321,323,324,325,326,327,330,332,335,336,341,343,346,349,355,443,452,453,456,462,467,472,476,489,490,491,499,502,508,510,516,525,529,531,534,537,558,574,590,595,596,608,610,612,620,621,623,636,639,642,650,651,659,661,663,666,679,687,707,708,716,717,719,720,721,725,745,759,809,829,839,844,846,850,860,872,877],[50,69,78,81,84,86,92,95,96,99,106,108,109,114,115,116,119,128,129,130,137,140,141,146,147,152,153,160,165,173,185,279,281,283,295,300,306,307,309,311,315,317,322,328,331,339,340,342,344,345,350,351,353,354,356,357,359,360,362,363,364,366,370,371,373,374,375,378,379,380,388,398,441,444,449,450,455,481,488,503,522,533,541,546,556,566,583,586,593,597,614,617,622,625,627,634,643,660,664,680,682,694,703,710,715,731,739,740,741,756,761,767,779,782,788,789,796,801,806,807,808,826,837,838,841,842,843,851,859,863,864,874],[85,91,97,107,111,117,123,126,131,132,134,135,142,145,148,150,154,156,157,158,161,162,167,169,170,172,177,178,180,181,182,183,186,191,193,196,197,203,204,207,213,287,291,303,310,316,320,334,337,338,347,358,365,368,369,372,376,382,384,386,392,399,403,413,414,415,418,425,427,432,440,446,448,458,459,468,470,473,493,494,496,509,520,523,528,539,544,545,548,554,572,577,578,584,602,605,607,613,616,635,652,655,686,693,701,718,752,755,760,771,774,775,787,803,812,825,832,834,852,866,868],[79,100,112,118,121,127,143,144,149,155,159,163,166,168,171,174,176,179,184,188,194,198,209,215,217,219,312,329,333,348,352,367,377,383,385,387,391,393,396,397,401,404,406,412,416,417,424,426,428,429,437,438,445,471,474,478,479,480,484,501,505,515,538,551,576,581,588,594,600,606,611,615,633,673,675,727,729,751,753,769,776,797,805,810,813,818,840,856,862,865,873,876],[98,133,136,138,151,175,189,195,200,205,206,210,211,212,216,218,361,389,394,400,402,408,409,410,411,419,421,422,430,431,434,435,436,439,465,507,512,519,555,560,561,567,573,580,592,619,626,629,631,644,646,649,668,683,685,696,722,726,734,736,750,762,770,773,819,836,847,855,858,878,879],[139,164,187,190,192,199,201,202,208,381,390,395,405,423,451,454,464,477,500,532,536,557,564,589,640,648,684,689,695,737,738,747,758,764,791,828,835,849,857],[214,407,420,433,461,482,506,513,535,628,657,665,674,676,688,691,700,778,802,815,817,821,827],[447,485,486,559,571,575,598,647,653,670,672,678,690,785,795,800,816,833],[487,542,624,709,711,712,792,794,822,861],[495,498,527,540,552,562,565,671,706,754,777,781,831,853],[475,543,618,656,713,748],[599,732,820],[460,681],[549],[830]]