[[0,1,2,3,4,5,6,22,49,58,60,63,66,72,84,87,88,89,134,177,180,181,230,231,232,233,234,235,236,237,238,241,242,243,244,276,280,283,286,288,289,290,293,295,297,300,301,313,315,316,319,320,321,322,324,325,326,327,328,361,362,364,370,372,373,376,385,390,391,392,393,394,397,398,422,423,424,425,436,437,438,439,441,443,445,446,448,449,450,451,452,453,521,523,525,532,533,534,535,536,537,538,539,578,590,594,595,604,611,616,622,624,657,680,682,684,685,686,713,725,746,747,748,749,771,772,773,778,780,789,792,793,794,795,825,829,851,858,859,860,861,879,884,886,888,893,898,900,906,957,966,967,968,969,970,971,974,996,998,999,1000,1001,1004,1005,1019],[7,8,23,24,25,26,27,46,47,51,53,79,86,91,130,135,182,184,212,240,245,247,249,251,275,277,279,282,284,294,296,299,302,303,305,310,317,323,329,330,331,332,333,335,336,338,339,340,365,367,368,371,380,388,395,396,399,400,401,405,426,430,440,442,447,454,455,456,457,496,498,509,517,527,540,541,542,543,544,545,583,593,607,613,623,625,626,627,631,656,662,663,668,669,681,687,716,717,730,731,739,750,781,782,796,797,799,802,828,841,847,848,849,881,892,897,899,901,902,903,904,905,942,947,952,975,976,977,981,1002,1006,1007,1009,1011,1013,1015,1022],[9,28,29,56,68,90,111,112,117,118,125,127,128,132,137,138,167,172,179,185,187,190,210,225,229,246,252,253,256,258,281,291,292,298,309,314,337,341,363,369,374,383,402,403,406,420,421,427,431,434,444,458,461,462,467,503,506,511,526,546,547,551,555,581,596,600,605,612,634,659,665,666,679,683,688,690,692,693,715,719,720,721,723,726,728,732,733,735,742,779,791,801,803,809,831,832,833,844,846,850,852,854,862,863,864,865,894,895,896,910,935,938,943,946,948,953,960,972,978,980,982,995,997,1014,1016,1017,1018,1020,1023],[10,30,32,52,64,67,85,93,119,121,122,126,131,136,139,140,142,143,157,160,166,170,192,218,239,264,304,306,307,312,318,334,342,386,407,408,410,419,433,435,459,460,468,469,490,494,504,513,548,549,553,584,587,588,592,599,601,618,621,628,636,651,652,653,655,661,667,677,689,691,694,697,714,727,736,740,741,751,754,755,774,777,810,826,835,836,840,845,855,856,866,868,869,885,887,889,890,912,914,937,939,944,954,973,983,984,1008,1010,1021],{"0":14,"1":31,"2":33,"3":37,"4":77,"5":92,"6":96,"7":110,"8":114,"9":115,"10":133,"12":148,"13":149,"14":162,"15":163,"16":169,"17":183,"18":186,"19":189,"20":191,"21":194,"22":213,"23":248,"24":250,"25":257,"26":259,"27":260,"28":261,"29":262,"30":265,"31":267,"32":278,"33":287,"34":308,"35":357,"36":358,"37":375,"38":378,"39":379,"40":382,"41":387,"42":404,"43":411,"44":414,"45":432,"46":464,"47":465,"48":466,"49":472,"50":473,"51":475,"52":477,"53":484,"54":493,"55":510,"56":520,"57":529,"58":552,"59":554,"60":556,"61":559,"62":598,"63":602,"64":606,"65":608,"66":629,"67":632,"68":633,"69":635,"70":637,"71":638,"72":658,"73":671,"74":674,"75":675,"76":695,"77":698,"78":707,"79":718,"80":722,"81":724,"82":729,"83":738,"84":743,"85":745,"86":756,"87":798,"88":800,"89":804,"90":806,"91":807,"92":808,"93":813,"94":818,"95":830,"96":834,"97":839,"98":842,"99":867,"100":870,"101":871,"102":880,"103":883,"104":907,"105":908,"106":909,"107":915,"108":961,"109":979,"110":986,"111":987,"112":988,"113":989,"114":1003},[11,15,17,34,35,36,39,40,41,55,75,95,97,98,116,120,123,124,129,159,161,164,173,175,176,211,215,221,223,255,263,268,285,311,343,360,366,412,413,415,417,418,463,471,474,476,478,480,482,483,485,486,491,499,502,516,528,550,557,558,560,562,630,640,642,664,672,673,678,700,706,708,709,710,711,734,737,752,758,785,805,816,827,837,843,853,857,873,876,882,913,916,918,919,934,936,955,958,959,962,990,993,1012],[12,16,38,50,61,81,94,113,146,147,151,158,171,174,188,193,201,202,222,254,266,345,356,359,377,381,409,429,470,479,481,488,497,514,515,519,561,563,564,565,566,567,568,572,580,639,641,643,645,649,660,699,703,705,712,744,753,764,769,770,811,812,814,822,823,877,911,917,920,921,926,933,941,945,956,964,985],[45,73,78,80,99,100,101,102,103,144,145,154,155,195,197,198,203,226,269,271,273,344,346,348,349,354,355,416,428,487,489,505,508,522,530,531,569,570,571,573,574,575,603,614,644,646,676,696,702,757,761,762,763,786,815,838,872,922,923,924,932,951,965,991],[13,18,20,21,42,43,48,76,82,104,105,153,156,165,168,178,196,204,274,350,351,389,492,495,500,501,507,512,576,579,586,591,617,647,648,654,701,704,765,767,775,787,790,817,819,820,821,874,875,878,925,927,928,940,950,992],[19,65,69,83,106,107,109,150,152,199,200,206,219,227,270,272,347,353,518,589,619,620,650,670,759,760,766,768,776,788,824,891,929,994],[59,70,71,205,209,217,224,228,352,384,524,577,582,585,597,609,610,783,930,931,963],[62,108,207,208,216,615,784,949],[57,74,214],[44,54,220]]