[[0,1,2,3,4,5,6,7,10,11,12,13,14,15,16,17,18,20,21,24,25,32,33,34,256,257,258,259,260,261,262,263,264,265,266,268,269,270,271,272,273,275,276,277,279,280,281,282,283,284,285,286,287,289,290,522,525,546,560,565,622,623,634,664,665,677,693,695,700,717,729,737,754,757,780,820,824,825,835,836,858,862,863,872,882,901,902,903,904,920,924,939,953,976,989,1000,1013],[8,9,23,28,30,31,35,38,40,43,46,53,57,62,63,64,65,67,72,75,267,278,288,292,294,295,296,299,300,301,302,304,306,308,309,311,312,313,315,317,321,323,326,329,534,541,557,563,571,572,579,589,599,600,608,613,614,616,627,639,659,661,688,698,707,723,732,738,741,749,765,768,789,814,818,827,833,844,861,873,877,884,888,890,891,906,914,931,958,971,983,986,987,1002,1009,1011,1015,1019],[19,26,39,41,47,48,49,51,52,55,56,58,59,60,61,66,71,81,84,85,86,91,96,97,103,108,110,111,112,297,307,310,322,324,332,334,335,337,342,344,346,347,354,355,356,362,515,517,521,538,549,550,555,558,561,564,583,585,588,595,611,626,637,643,658,669,671,676,683,689,713,721,740,743,745,750,753,761,766,781,785,799,803,816,821,822,826,832,838,839,875,911,957,965,966,974,979,985,996,1004,1008,1012],[29,42,44,45,50,54,69,70,80,82,87,92,94,99,102,104,106,107,109,114,115,117,118,121,124,126,130,131,133,134,136,137,139,141,146,159,291,298,303,314,316,320,327,328,330,331,341,348,350,352,353,360,361,363,365,367,378,389,391,392,393,394,398,414,514,527,533,536,544,576,581,605,612,617,630,645,647,668,673,678,691,694,704,706,720,724,734,735,744,758,760,819,845,860,867,868,878,893,894,898,948,972,975,980,991,994,1018],{"0":22,"1":27,"2":74,"3":77,"4":78,"5":79,"6":83,"7":90,"8":93,"9":95,"10":116,"11":120,"12":125,"13":132,"14":138,"15":143,"16":144,"17":147,"18":151,"19":156,"20":157,"21":158,"22":163,"23":164,"24":165,"25":166,"26":171,"27":172,"28":176,"30":181,"31":184,"32":189,"33":190,"34":192,"35":194,"36":196,"37":202,"38":305,"39":319,"40":333,"41":336,"42":340,"43":343,"44":345,"45":349,"46":357,"47":359,"48":364,"49":368,"50":370,"51":375,"52":376,"53":379,"54":380,"55":383,"56":388,"57":395,"58":396,"59":401,"60":402,"61":405,"62":407,"63":410,"64":412,"65":419,"66":427,"67":434,"69":438,"70":439,"71":442,"72":444,"73":535,"74":548,"75":566,"76":568,"77":577,"78":578,"79":584,"80":593,"81":606,"82":631,"83":649,"84":653,"85":663,"86":670,"87":675,"88":680,"89":699,"90":712,"91":719,"92":725,"93":736,"94":742,"95":748,"96":767,"97":769,"98":774,"99":776,"100":793,"101":805,"102":806,"103":807,"104":809,"105":811,"106":812,"107":815,"108":852,"109":865,"110":870,"111":883,"112":915,"113":928,"114":932,"115":938,"116":944,"117":964,"118":967,"119":973,"120":990,"121":995,"122":1022},{"0":36,"1":37,"2":88,"3":98,"4":101,"5":113,"6":119,"7":122,"8":135,"9":142,"10":149,"11":150,"12":167,"13":168,"14":174,"15":178,"16":183,"17":188,"18":191,"19":195,"20":200,"21":203,"22":216,"23":220,"24":222,"25":233,"26":234,"27":235,"28":241,"29":245,"30":246,"31":249,"32":251,"33":252,"34":254,"35":318,"36":338,"37":358,"38":366,"39":369,"40":372,"41":374,"42":377,"43":384,"44":386,"45":387,"46":400,"47":403,"48":408,"49":413,"50":415,"51":418,"52":423,"53":426,"54":428,"55":429,"56":435,"57":437,"58":440,"59":445,"60":450,"61":456,"62":457,"63":458,"64":461,"65":467,"66":473,"67":474,"68":480,"70":508,"71":512,"72":524,"73":526,"74":537,"75":540,"76":604,"77":619,"78":629,"79":632,"80":633,"81":638,"82":666,"83":672,"84":674,"85":687,"86":692,"87":701,"88":702,"89":703,"90":714,"91":716,"92":770,"93":775,"94":778,"95":779,"96":782,"97":796,"98":800,"99":810,"100":813,"101":841,"102":874,"103":889,"104":913,"105":918,"106":919,"107":936,"108":945,"109":949,"110":950,"111":956,"112":959,"113":960,"114":970,"115":978,"116":981,"117":1005},[68,100,123,129,145,152,153,169,170,173,175,182,186,197,204,212,214,217,223,226,228,230,231,238,239,255,339,381,404,406,430,431,441,446,447,452,454,462,465,466,470,472,478,482,483,487,488,493,500,501,503,510,520,532,539,542,553,562,574,586,602,603,615,646,651,652,655,685,718,728,747,755,764,790,792,794,802,817,830,837,843,866,871,880,892,899,905,922,925,926,927,930,934,940,946,968,1007,1017],[73,89,105,127,140,148,154,155,180,185,187,205,206,209,210,211,213,218,229,236,237,244,250,274,351,382,390,399,411,425,433,449,459,460,468,469,471,479,481,484,495,496,499,502,507,519,531,552,597,607,625,641,644,654,660,681,684,710,722,727,772,773,786,791,849,857,869,876,885,923,935,977,988,997,998,1014,1020],[76,128,160,161,177,193,199,201,215,224,225,232,240,243,247,248,253,293,325,371,397,409,416,422,424,432,443,448,453,463,464,486,492,497,498,516,554,590,657,690,697,708,746,762,777,797,829,834,840,910,917,929,933,941,942,963,992,993,1006,1010,1016],[162,198,207,221,242,373,385,420,451,476,489,494,504,505,506,509,511,518,528,530,556,559,570,596,620,726,752,783,784,798,855,887,897,900,984,999,1001],[219,227,417,421,455,475,477,547,551,591,642,662,682,686,751,759,851,864,879,886,895,937,961,962],[208,490,491,543,545,587,598,715,733,846,848,856,909,947,982],[580,594,601,628,667,711,731,771,801,804,850,859,916,1003],[529,567,582,696,705,730,788,795,907,943,1021,1023],[624,636,679,709,828,831,853,896,921,952,954],[523,635,739,823,854,881],[575,609,610,640,648,763,787,951,969],[513,650,808],[569,618,621,656,847,912],[573,842],[756],[908],[592],[955]]