[[0,1,2,4,5,9,10,11,14,15,16,17,18,19,20,22,23,24,25,27,29,30,31,256,257,258,259,261,262,264,265,267,268,270,273,274,275,276,278,279,280,281,283,284,287,513,519,559,566,571,590,594,599,623,652,662,705,714,726,734,739,756,818,822,835,839,850,854,856,859,898,910,912,928,929,945,949,982,987,994,996,1005],{"0":3,"1":6,"2":8,"3":12,"4":28,"5":35,"6":38,"7":39,"8":40,"9":45,"10":47,"11":51,"12":52,"13":55,"14":58,"15":59,"16":67,"17":260,"18":266,"19":271,"20":277,"21":282,"22":285,"23":286,"24":289,"25":295,"26":296,"27":297,"28":298,"29":300,"30":301,"31":302,"33":309,"34":310,"35":317,"36":318,"37":322,"38":325,"39":517,"40":521,"41":524,"42":525,"43":528,"44":540,"45":552,"46":561,"47":567,"48":576,"49":578,"50":586,"51":592,"52":596,"53":616,"54":625,"55":626,"56":628,"57":632,"58":638,"59":639,"60":687,"61":758,"62":759,"63":768,"64":775,"65":779,"66":789,"67":804,"68":808,"69":811,"70":832,"71":851,"72":875,"73":886,"74":887,"75":894,"76":906,"77":908,"78":913,"79":935,"80":970,"81":992,"82":1015},[7,13,21,26,33,34,37,41,42,43,46,48,50,53,54,56,60,61,62,63,64,66,68,70,71,73,75,76,77,78,79,81,82,83,84,85,90,93,95,263,272,290,292,293,304,305,307,308,311,312,313,314,315,328,329,330,332,334,336,338,340,341,348,356,532,538,541,549,589,615,630,640,658,663,716,730,738,740,745,748,769,803,807,823,827,833,845,868,909,916,925,933,958,961,965,984],[49,65,72,74,86,89,98,101,105,106,107,108,110,111,121,122,126,133,138,288,294,299,303,323,335,337,339,345,349,351,355,362,364,365,367,368,373,375,376,378,384,386,518,527,529,537,554,572,608,644,646,648,661,666,670,672,682,703,719,720,722,750,772,778,786,791,799,802,831,861,866,872,883,889,960,963,1006,1012,1016,1018],[32,57,96,99,102,103,104,114,115,116,120,123,127,129,131,134,137,139,146,147,149,152,158,159,160,164,166,170,172,175,181,269,319,324,327,331,344,350,352,353,354,357,366,372,382,388,392,402,403,406,407,408,412,414,418,419,420,424,430,531,555,577,588,593,617,619,629,645,651,656,657,667,669,674,681,693,700,702,711,727,767,773,776,806,812,837,848,860,892,941,944,957,964,966,968,969,990,999,1020,1023],[44,69,94,97,112,124,125,128,144,150,156,157,163,179,180,190,194,203,207,208,209,210,291,316,326,333,342,343,346,359,363,371,377,381,391,396,397,411,413,416,426,428,432,436,439,446,448,449,450,451,455,460,461,469,470,534,558,573,580,587,595,602,606,607,610,633,634,647,684,699,713,717,741,760,785,792,797,838,842,863,871,874,878,893,905,919,972,989,1001],{"0":36,"1":91,"2":100,"3":109,"4":113,"5":119,"6":130,"7":132,"8":135,"9":136,"10":143,"11":145,"12":148,"13":151,"14":153,"15":155,"16":162,"17":165,"18":177,"19":182,"20":189,"21":191,"22":192,"23":202,"24":205,"25":213,"26":218,"28":231,"29":235,"30":236,"31":237,"33":245,"34":246,"35":249,"36":250,"37":320,"38":321,"39":347,"40":358,"41":360,"42":361,"43":369,"44":374,"45":379,"46":387,"47":390,"48":394,"49":395,"50":399,"51":400,"52":405,"53":409,"54":410,"55":417,"56":423,"57":433,"58":434,"59":437,"60":441,"61":444,"62":456,"64":459,"65":471,"66":472,"67":486,"68":488,"69":489,"70":490,"71":491,"72":493,"73":501,"74":502,"75":504,"76":505,"77":515,"78":522,"79":543,"80":551,"81":575,"82":621,"83":643,"84":683,"85":688,"86":706,"87":708,"88":723,"89":744,"90":749,"91":770,"92":774,"93":800,"94":819,"95":828,"96":862,"97":891,"98":895,"99":902,"100":924,"101":938,"102":983},[80,88,92,140,168,169,171,173,174,176,178,187,188,193,198,201,204,206,212,216,232,233,234,244,247,255,370,385,393,401,427,443,457,462,474,503,536,544,550,584,604,612,637,653,654,655,659,676,680,689,690,696,701,718,731,752,757,782,784,814,830,869,888,897,901,911,914,918,946,948,954,977,997],[87,117,141,154,161,183,200,215,217,220,226,229,230,243,248,380,383,421,435,440,442,445,447,464,465,467,468,483,485,495,498,499,506,510,511,535,546,564,569,597,609,649,650,692,695,715,721,724,725,742,751,765,766,801,809,824,836,841,852,853,876,890,922,940,956,988,1007,1019],[118,167,185,186,196,197,219,224,228,240,241,251,389,398,425,429,431,466,473,475,484,492,494,516,533,557,565,605,613,635,665,668,685,704,735,746,747,870,877,936,939,943,947,971,985,993,995,1011],[142,195,199,211,222,225,254,404,415,422,438,454,476,479,480,481,482,497,500,507,508,526,547,562,563,591,611,686,707,732,737,753,781,787,790,796,813,816,826,834,844,858,879,903,921,923,930,952,953,959,1002],[184,214,223,253,452,453,463,478,487,496,512,523,560,570,582,600,601,618,627,642,709,710,729,754,764,777,795,815,820,829,873,881,884,885,907,917,920,932,934,951,973,978,980,981],[238,252,509,568,585,614,677,678,694,728,755,761,771,780,793,846,847,855,857,867,904,927,931,950,955,986,991,1010],[221,239,477,553,556,581,620,624,641,675,679,691,733,743,762,788,825,864,880,896,900,926,975,976,998,1009,1017],[514,530,542,545,598,660,664,817,849,915,942,962,974,1004,1013,1021,1022],[548,583,673,840,882,899,937,979,1000,1014],[574,698,763,794,798,821],[579,603,622,631,636,671,843],[520,539,712,1003,1008],[810],[736,805,865],[783,967],[697]]