[[0,1,2,4,5,6,7,8,9,10,11,12,13,14,15,16,17,19,20,23,24,25,26,27,30,31,32,33,256,257,258,259,260,261,263,264,265,266,267,269,270,271,272,274,276,277,278,279,281,283,284,286,288,290,291,536,552,566,585,607,608,643,647,671,680,689,702,714,743,744,756,757,763,765,767,778,783,789,802,828,840,841,853,884,888,892,897,946,967,1002,1006],[3,18,21,22,28,29,34,38,40,42,45,46,47,48,49,50,53,55,56,57,59,62,64,65,66,68,262,268,275,292,294,295,296,297,300,302,303,304,305,307,311,313,316,317,321,323,324,533,537,540,547,575,589,593,596,613,629,631,655,656,665,669,691,708,713,720,728,748,749,754,758,775,788,799,806,815,821,843,931,963,972,976,981,989,1008,1015],{"0":35,"1":37,"2":39,"3":41,"4":43,"5":52,"6":60,"7":61,"8":63,"9":71,"10":73,"11":75,"12":76,"13":77,"14":79,"15":82,"17":89,"18":90,"19":91,"20":94,"21":95,"22":99,"23":100,"24":101,"25":103,"26":106,"27":108,"28":273,"29":280,"30":282,"31":285,"32":287,"33":289,"34":293,"35":298,"36":299,"37":301,"38":306,"39":308,"40":314,"41":315,"42":318,"43":319,"44":322,"45":331,"46":332,"47":334,"48":335,"49":337,"50":339,"51":342,"52":343,"53":344,"54":345,"55":346,"56":347,"57":348,"58":355,"59":357,"60":358,"61":362,"62":363,"63":366,"64":517,"65":519,"66":538,"67":539,"68":546,"69":564,"70":586,"71":587,"72":590,"73":611,"74":612,"75":614,"76":623,"77":658,"78":660,"79":697,"80":703,"81":741,"82":752,"83":772,"84":792,"85":829,"86":835,"87":838,"88":842,"89":866,"90":877,"91":878,"92":916,"93":932,"94":969,"95":983,"96":992,"97":994,"98":1000,"99":1018},{"0":44,"1":51,"2":54,"3":72,"4":80,"5":81,"6":85,"7":87,"8":93,"9":96,"10":97,"11":105,"12":109,"13":115,"14":116,"15":117,"16":118,"17":121,"18":122,"19":124,"20":125,"21":133,"22":134,"23":138,"24":140,"25":141,"26":142,"27":143,"28":144,"29":148,"30":309,"31":310,"32":312,"33":320,"34":325,"35":326,"36":329,"37":330,"38":336,"39":349,"40":354,"41":361,"42":364,"43":372,"44":376,"45":381,"47":386,"48":389,"49":390,"50":396,"51":399,"52":402,"53":403,"54":404,"55":407,"56":513,"57":518,"58":524,"59":561,"60":573,"61":578,"62":581,"63":584,"64":600,"65":606,"66":627,"67":630,"68":634,"69":652,"70":685,"71":698,"72":723,"73":724,"74":742,"75":761,"76":780,"77":784,"78":801,"79":809,"80":811,"81":812,"82":816,"83":819,"84":836,"85":849,"86":852,"87":855,"88":857,"89":881,"90":894,"91":933,"92":943,"93":944,"94":955,"95":964,"96":1004,"97":1014},[58,67,69,74,78,83,92,102,107,111,112,126,127,130,131,137,150,157,159,162,164,165,168,170,173,179,181,184,185,190,327,333,338,350,353,359,370,371,373,379,380,384,385,388,391,392,394,400,401,406,410,411,412,413,418,419,420,423,424,427,428,430,433,436,437,438,440,446,447,520,522,531,550,551,553,557,559,565,567,580,583,622,624,637,646,650,659,666,676,686,692,694,706,750,760,766,768,771,786,803,804,808,820,823,839,848,867,891,913,947,952,973,977,985,996,1001,1009,1019],[36,70,84,86,98,110,123,135,136,139,146,147,151,156,160,161,172,174,176,182,187,188,191,192,193,200,201,205,207,211,214,216,223,225,226,234,236,247,328,340,341,351,352,356,365,367,368,374,375,378,383,395,398,405,414,416,422,429,431,435,442,444,445,454,458,462,467,469,479,484,491,494,501,528,568,574,595,640,642,649,683,693,700,731,739,746,794,813,830,856,861,863,879,880,883,904,912,942,945,986,1003,1005,1023],[104,113,119,120,128,149,153,155,169,171,175,177,183,189,204,215,217,218,221,224,228,233,249,253,255,369,377,387,393,397,408,415,434,439,443,449,453,456,460,461,468,470,472,473,475,478,481,482,490,496,499,502,506,514,515,525,526,592,599,605,609,619,635,670,699,705,712,718,721,740,745,769,779,781,814,818,833,860,887,899,918,924,926,928,934,956,962,970,978,980,999,1011],[152,154,158,163,166,167,178,180,186,194,196,197,198,208,220,229,235,239,242,243,250,252,254,360,409,417,421,425,432,441,448,451,452,457,464,465,480,486,487,495,500,505,507,509,521,549,560,610,620,621,654,675,688,715,755,770,793,797,807,810,831,834,850,885,927,940,990,997,1016,1021,1022],[114,129,132,145,195,202,203,206,209,210,212,213,219,222,227,230,232,238,240,245,246,455,459,463,466,476,477,483,485,488,492,497,498,503,555,563,571,576,617,644,648,667,695,704,707,726,732,734,737,764,776,782,785,827,832,846,851,868,886,914,915,935,936,937,948,950,958],[199,248,251,426,450,471,474,493,512,534,548,562,570,577,579,602,628,641,651,662,674,709,722,727,730,759,865,882,895,907,930,1010],[231,237,241,244,489,504,508,511,523,535,545,588,625,633,638,657,682,710,716,733,736,738,798,854,858,872,876,893,896,898,901,902,911,920,921,922,968,971,975,984,988,998,1007],[510,541,591,594,598,626,632,636,645,673,679,687,696,729,751,796,817,824,844,845,862,905,917,919,925,938,939,949,959,974,995],[544,582,615,616,661,773,774,805,826,870,874,889,909,954,1013,1017],[516,527,554,556,558,604,639,668,677,678,717,753,800,910,923,929,953,961,965,966],[543,572,601,603,653,663,672,681,684,725,747,777,787,822,825,837,847,873,957,982,987],[530,791,864,871,875,906,951],[532,542,664,890,908,1020],[701,719,903,979,993],[597,618,790,900,960,991],[569,711,795,859],[529,735],[690,762,869,941]]