[[0,1,2,4,5,6,7,8,9,10,11,12,13,14,15,17,18,19,23,24,25,26,28,29,30,31,33,34,35,37,39,41,42,43,44,46,50,56,57,58,61,62,63,67,70,74,75,76,256,257,258,259,261,262,263,264,265,266,267,268,269,270,271,272,273,274,275,277,280,281,282,284,285,288,289,290,291,292,293,295,296,297,298,299,302,303,304,306,308,310,311,312,313,315,320,321,322,324,325,327,328,331,332,334,335,336,516,517,524,525,532,547,552,560,564,570,587,599,602,608,612,614,633,636,658,664,671,685,687,689,693,707,714,715,717,723,726,734,736,737,743,749,757,777,780,782,783,787,791,816,825,829,849,858,864,874,876,885,888,895,910,917,920,924,925,928,936,951,955,956,977,981,993,994,999,1008,1015,1018],[3,16,21,22,27,32,38,47,48,49,51,52,60,64,65,66,68,69,71,73,77,78,79,83,84,86,87,88,89,90,94,98,99,100,101,103,105,106,108,109,111,124,126,128,131,132,134,135,140,142,144,147,260,278,283,286,287,294,301,307,309,323,330,333,337,338,340,341,345,346,347,351,352,353,354,355,356,357,358,359,360,361,362,364,365,367,368,374,376,380,385,386,390,391,396,398,401,403,404,405,406,512,522,537,542,543,544,546,548,555,557,558,566,574,589,597,600,603,606,615,622,629,656,662,665,672,683,686,692,703,706,720,732,739,758,760,774,790,800,824,827,838,840,845,852,853,854,857,859,868,870,878,884,887,892,915,930,931,939,944,950,957,959,966,973,980,983,990,991,1003,1011,1012,1020,1021],[20,36,40,45,53,55,72,80,82,85,91,92,96,97,102,104,107,110,115,117,119,121,123,136,137,138,139,145,146,149,150,151,152,153,156,159,163,164,165,166,170,171,172,175,176,178,186,189,190,192,194,196,199,202,206,211,212,219,221,276,279,300,305,314,316,317,318,329,339,342,343,344,363,370,371,372,373,377,382,383,395,399,400,408,416,420,421,422,423,432,435,439,440,445,446,449,450,453,464,466,477,479,526,539,545,549,550,571,573,576,586,592,604,611,623,626,630,635,640,645,660,669,678,679,681,682,694,695,699,701,702,704,705,708,722,728,731,751,759,762,770,785,789,792,798,808,813,817,822,823,830,851,855,889,891,894,912,922,933,941,945,947,962,970,971,985,995,1000,1002,1006],{"0":54,"1":59,"2":81,"3":93,"4":95,"5":112,"6":114,"7":116,"8":118,"9":120,"10":122,"11":125,"12":127,"13":129,"14":130,"15":141,"16":143,"17":148,"18":157,"19":160,"20":162,"21":173,"22":177,"23":179,"24":180,"25":181,"26":182,"27":183,"28":191,"29":193,"30":195,"31":197,"32":198,"33":201,"34":203,"35":204,"36":207,"37":215,"38":222,"39":224,"40":225,"41":226,"42":232,"43":236,"44":237,"45":238,"46":239,"47":240,"48":241,"49":246,"50":250,"51":251,"52":252,"53":253,"54":319,"55":349,"56":369,"57":384,"58":387,"59":388,"60":389,"61":392,"62":393,"63":397,"64":402,"65":407,"66":409,"67":411,"68":413,"69":414,"70":417,"71":425,"72":427,"73":429,"74":434,"75":436,"76":437,"77":441,"78":447,"79":448,"80":451,"81":452,"82":457,"83":458,"84":461,"85":469,"86":471,"87":473,"88":478,"89":480,"90":481,"91":482,"92":484,"93":488,"94":489,"95":493,"96":494,"97":495,"98":497,"99":498,"100":502,"102":508,"103":511,"104":513,"105":515,"106":518,"107":527,"108":530,"109":533,"110":551,"111":554,"112":567,"113":577,"114":579,"115":625,"116":627,"117":634,"118":639,"119":644,"120":646,"121":648,"122":649,"123":653,"124":655,"125":673,"126":710,"127":712,"128":716,"129":724,"130":725,"131":740,"132":750,"133":793,"134":807,"135":810,"136":811,"137":812,"138":828,"139":835,"140":839,"141":843,"142":875,"143":877,"144":880,"145":881,"146":896,"147":897,"148":907,"149":927,"150":954,"151":974,"152":978,"153":986,"154":988,"155":1007,"156":1019,"157":1023},[113,133,154,155,158,161,167,169,174,184,188,205,208,209,213,214,218,220,223,227,230,231,247,248,249,326,348,350,366,375,378,379,394,410,415,418,428,430,431,438,443,454,455,459,462,463,468,470,472,475,476,483,485,487,491,496,503,505,506,521,536,540,562,565,582,594,595,596,616,624,654,659,688,711,733,738,745,748,763,769,771,796,821,832,841,848,863,872,882,890,901,904,914,918,919,929,953,960,989,996,1010],[168,185,187,200,210,216,217,233,235,242,243,244,245,255,381,412,419,424,426,442,460,465,474,490,492,499,500,501,504,509,510,519,528,531,583,593,605,609,613,619,637,647,667,668,675,676,677,680,696,700,741,753,772,801,804,805,806,819,820,847,850,856,862,873,886,899,900,903,913,934,961,965,982,998,1016],[228,229,234,254,433,444,456,467,486,585,607,618,620,641,666,690,697,713,721,730,744,766,775,776,786,803,814,815,836,837,842,846,883,908,909,926,932,937,942,949,968,972,975,979,1013,1014,1022],[514,529,538,541,563,569,572,575,598,610,643,651,652,684,719,747,754,765,773,784,794,799,826,833,861,867,869,871,906,916,940,952,963,976,997,1001,1005,1017],[520,553,561,568,578,621,642,661,691,698,709,729,735,742,746,761,764,779,788,797,802,844,865,905,921,935,943,967,987,1004],[556,590,628,638,752,781,795,898,923,969],[534,559,591,631,632,663,756,818,893,902,946],[581,755,768,778,911,984,992],[523,584,727,809,834,1009],[535,650,670,767,831,860,938,948,958],[601,657,879,964],[588,617,866],[718],[580,674]]