[[0,1,3,5,6,7,8,11,12,14,15,16,17,18,19,21,22,23,24,25,26,27,29,30,31,256,257,258,260,261,262,263,264,265,267,268,269,270,271,272,273,274,275,276,277,278,279,280,281,282,283,287,513,536,547,565,567,584,621,646,664,723,727,730,758,763,794,822,831,857,882,932,935,953,968,969,985,1008,1009,1018],[2,9,13,20,28,32,34,35,36,37,39,40,43,44,45,46,48,50,51,52,53,54,55,56,57,58,59,60,61,63,64,68,259,266,285,286,288,289,291,293,295,296,298,299,300,301,302,304,306,308,310,311,313,321,322,323,326,527,568,577,605,642,650,655,693,725,734,755,756,789,796,827,847,891,903,904,929,951,952,982,1015,1016],[4,10,33,41,42,47,49,62,66,67,70,75,78,80,81,83,86,92,96,99,100,284,290,297,303,305,307,309,314,315,316,318,319,320,325,327,328,329,331,335,337,338,339,340,341,344,353,354,357,520,553,559,569,622,623,635,636,644,680,687,689,713,716,724,726,742,759,774,778,779,790,791,809,826,842,843,844,846,852,854,934,962,993,1004],{"0":38,"1":65,"2":69,"3":71,"4":73,"5":76,"6":77,"7":79,"8":82,"9":84,"10":88,"11":89,"12":90,"13":91,"14":94,"15":95,"16":97,"17":101,"18":102,"19":103,"21":110,"22":120,"23":122,"24":127,"25":130,"26":131,"27":292,"28":294,"29":312,"30":317,"31":324,"32":332,"33":333,"34":342,"35":343,"36":346,"37":347,"38":348,"39":350,"40":351,"41":352,"42":359,"43":363,"44":367,"45":368,"46":374,"47":375,"48":376,"49":379,"50":382,"51":385,"52":537,"53":563,"54":566,"55":572,"56":575,"57":609,"58":614,"59":626,"60":629,"61":637,"62":638,"63":657,"64":659,"65":695,"66":700,"67":728,"68":757,"69":771,"70":772,"71":775,"72":803,"73":828,"74":832,"75":838,"76":886,"77":931,"78":938,"79":949,"80":972,"81":975,"82":1001,"83":1006,"84":1010},[74,87,98,106,107,114,115,119,121,123,125,128,129,133,137,141,142,146,151,162,167,171,334,345,355,356,360,366,369,371,372,377,378,380,388,392,393,395,397,398,403,404,423,424,528,529,542,549,571,574,592,601,630,639,640,643,647,649,658,662,702,704,706,707,711,719,737,738,741,749,764,788,806,819,837,851,853,887,893,896,906,912,930,950,963,987,988,997,999,1012,1020],{"0":72,"1":85,"2":93,"3":104,"4":105,"5":109,"6":118,"7":124,"8":126,"9":139,"10":144,"11":147,"12":149,"13":150,"14":152,"15":157,"16":158,"17":164,"18":165,"19":169,"20":170,"22":184,"23":187,"24":188,"25":202,"26":205,"27":206,"28":330,"29":336,"30":361,"31":362,"32":364,"33":365,"34":370,"35":373,"36":381,"37":383,"38":384,"39":386,"40":394,"41":402,"42":406,"43":409,"44":412,"45":415,"46":418,"47":420,"48":421,"49":422,"50":425,"51":433,"52":434,"53":437,"54":438,"55":452,"56":458,"57":461,"58":512,"59":588,"60":598,"61":599,"62":610,"63":611,"64":615,"65":631,"66":633,"67":634,"68":648,"69":670,"70":673,"71":682,"72":698,"73":718,"74":722,"75":746,"76":753,"77":762,"78":776,"79":802,"80":813,"81":850,"82":856,"83":862,"84":865,"85":877,"86":878,"87":879,"88":933,"89":965,"90":976,"91":992},[111,112,113,116,117,132,135,136,138,145,148,154,155,160,175,183,191,192,201,223,228,229,232,233,349,387,389,390,399,401,407,408,410,417,419,427,428,430,440,442,445,447,454,460,467,472,473,480,481,484,485,487,489,495,518,524,540,554,579,582,583,593,612,617,627,667,679,699,703,735,747,750,751,767,787,793,795,808,845,871,872,880,895,900,924,926,937,948,966,967,973,983,984,991,995,996,998],[134,140,143,153,159,163,166,168,173,177,179,180,190,194,195,196,198,208,211,214,217,218,225,230,231,237,238,241,250,358,391,396,405,413,414,416,436,441,444,446,448,449,451,453,457,459,462,463,464,466,471,478,492,498,504,519,523,533,535,556,562,625,653,661,674,694,701,712,720,721,769,783,800,810,815,824,863,874,883,889,890,915,921,922,927,940,955,977,1014,1017,1019,1021],[172,174,176,181,182,186,189,193,197,199,200,203,210,221,224,226,234,236,240,243,249,253,400,411,426,431,435,439,450,465,468,474,475,479,482,486,488,490,499,502,508,516,517,531,532,538,557,558,573,580,585,600,602,608,613,616,632,641,671,733,748,761,805,811,817,823,829,849,860,868,901,908,914,923,939,954,960,978,980],[161,185,207,215,216,239,242,244,246,247,248,252,254,429,469,470,493,496,497,503,505,506,507,509,525,534,539,546,548,551,561,594,603,620,624,651,654,668,685,690,691,692,696,697,705,710,731,740,754,777,840,858,861,870,894,902,910,917,919,936,945,971,1000,1002,1022],[156,209,212,213,219,220,251,443,476,477,483,494,500,501,510,545,550,570,576,578,581,586,589,590,591,595,596,607,663,676,708,709,714,729,743,752,780,782,792,797,881,884,892,905,920,928,942,1005],[204,227,245,255,432,455,456,511,541,555,606,645,652,665,681,684,688,732,744,799,833,867,873,875,888,907,925,956,958,989,1003,1007],[514,587,604,660,669,675,736,765,768,773,801,804,807,818,821,911,941,944,946,947,957,981,986],[222,235,491,526,597,677,678,739,866,918,943,974,979,994],[530,560,656,715,766,785,786,798,812,820,835,836,839,855,859,864,885,898,1011],[521,544,618,683,717,781,869,959,964,1013,1023],[564,619,770,784,816,830,897,899,990],[672,745,760,825,913,916],[515,552,628,814,841,909,961],[543,666,876],[522,834,848,970],[686]]