[[0,1,2,4,5,6,8,9,13,15,16,17,18,19,20,21,22,23,25,26,27,28,30,31,33,35,36,38,40,44,46,47,48,49,50,52,55,58,59,61,66,69,71,256,257,258,260,261,262,263,265,266,269,270,272,273,274,275,277,278,279,280,283,284,286,287,288,289,291,292,294,296,300,301,302,304,306,307,312,314,315,316,317,320,321,322,323,326,327,329,513,526,536,540,545,548,559,564,576,593,603,604,608,620,622,624,627,629,631,633,642,652,654,655,657,680,685,702,711,715,717,724,734,738,748,762,763,768,769,773,776,777,778,783,784,799,802,807,819,820,823,827,829,830,834,845,852,853,859,877,884,885,897,913,914,915,920,925,927,932,940,943,954,961,965,971,973,980,989,997,1005,1014],{"0":7,"1":10,"2":11,"3":12,"4":14,"5":29,"6":39,"7":41,"8":42,"9":53,"10":56,"11":57,"12":60,"13":62,"14":65,"15":67,"16":68,"17":70,"18":72,"19":73,"20":75,"21":78,"22":80,"23":82,"24":83,"25":84,"26":85,"27":89,"28":91,"29":94,"30":97,"31":98,"32":99,"34":103,"36":106,"37":111,"38":112,"39":114,"40":117,"41":121,"42":124,"43":127,"44":129,"45":131,"46":132,"47":133,"48":139,"49":140,"50":144,"51":264,"52":267,"53":268,"54":271,"55":276,"56":281,"57":282,"58":285,"59":293,"60":295,"61":297,"62":298,"63":303,"64":305,"65":309,"66":310,"67":311,"68":313,"69":318,"70":324,"71":325,"72":328,"73":332,"74":333,"75":334,"77":337,"78":338,"79":339,"80":340,"81":346,"82":347,"83":348,"84":353,"85":355,"86":356,"87":357,"88":358,"89":359,"90":360,"91":361,"92":362,"93":366,"94":370,"95":376,"96":377,"97":382,"98":384,"99":388,"100":389,"101":390,"102":392,"103":393,"104":396,"105":398,"106":515,"107":517,"108":519,"109":521,"110":522,"111":530,"112":532,"113":535,"114":538,"115":544,"116":554,"117":567,"118":587,"119":592,"120":594,"121":607,"122":609,"123":610,"124":618,"125":632,"126":635,"127":656,"128":658,"129":660,"130":664,"131":670,"132":681,"133":686,"134":689,"135":691,"136":698,"137":704,"138":706,"139":710,"140":725,"141":736,"142":747,"143":755,"144":758,"145":759,"146":760,"147":764,"148":781,"149":782,"150":785,"151":792,"152":794,"153":796,"154":798,"155":800,"156":810,"157":817,"158":828,"159":848,"160":854,"161":862,"162":886,"163":891,"164":892,"165":894,"166":905,"167":917,"168":922,"169":923,"170":926,"171":928,"172":929,"173":935,"174":937,"175":941,"176":962,"177":968,"178":970,"179":986,"180":998,"181":999,"182":1002,"183":1004,"184":1009,"185":1011},[3,24,37,43,45,51,54,63,74,76,77,79,81,88,90,92,95,96,101,105,107,108,109,115,123,125,135,136,143,149,150,154,161,162,164,169,172,173,178,180,181,183,185,188,190,191,192,196,200,202,207,217,221,290,308,319,330,331,342,345,349,350,351,352,354,367,368,371,372,373,374,379,383,386,387,394,406,410,414,416,418,419,422,425,426,429,437,438,439,441,442,445,447,455,456,467,468,472,476,478,523,528,529,547,551,553,555,557,563,566,569,570,590,601,616,617,634,638,646,647,650,662,666,668,700,703,709,731,735,744,774,797,803,824,837,839,840,841,843,844,847,858,860,861,863,867,869,878,879,893,902,910,918,930,934,946,950,952,953,955,958,977,1001,1013,1016,1018],[32,64,87,113,119,122,126,128,130,137,142,145,146,147,157,166,167,171,175,177,179,184,186,193,194,195,198,199,208,210,218,219,229,232,233,238,239,241,242,244,245,246,255,259,299,335,343,363,365,375,380,381,385,400,401,402,403,405,408,409,417,421,424,427,428,430,443,444,446,453,454,457,458,460,461,469,473,474,477,479,482,486,494,496,498,499,500,501,502,505,506,507,512,514,531,542,560,561,568,577,583,585,595,597,602,643,659,667,669,675,679,693,697,708,716,718,719,722,751,765,821,855,868,870,872,880,883,895,896,899,907,912,921,931,938,942,966,979,985,987,993,994,1007,1008,1015,1021],[34,86,93,102,110,116,118,120,134,138,141,148,152,155,158,165,174,187,203,204,205,206,211,212,215,222,224,231,235,341,344,364,369,378,391,395,397,399,404,407,411,412,413,415,420,432,433,435,440,448,450,451,452,459,463,464,466,480,481,488,490,491,497,503,504,509,510,527,534,549,574,582,588,596,605,606,611,612,621,649,661,665,673,687,694,720,721,741,742,746,752,757,771,772,786,804,805,815,831,832,836,838,846,857,887,888,890,903,919,944,947,951,967,983,984,995,996,1012,1017,1022],[151,153,156,159,160,163,168,170,176,182,189,197,201,209,213,214,216,220,223,225,226,227,234,240,247,251,252,253,254,423,431,434,436,449,462,471,475,484,487,489,492,493,511,518,525,537,541,571,572,575,598,599,600,636,639,651,690,699,707,714,727,745,767,770,789,791,801,809,813,816,818,851,864,865,866,874,875,882,898,939,945,949,963,974,976,992,1003],[228,230,236,237,243,248,249,250,465,470,483,485,495,508,520,556,558,578,579,584,625,640,682,688,692,705,712,713,737,740,743,749,812,822,833,856,873,908,911,956,957,964,972,975,982,1010,1020],[546,565,589,614,615,641,644,645,671,672,684,739,753,761,780,795,811,881,889,906,909,933,936,960,969,978,981,991],[516,552,562,586,623,648,653,674,678,695,696,726,729,732,750,788,808,814,849,850,871,924,988,1000,1006,1023],[543,550,580,591,637,676,677,683,701,723,730,756,775,779,790,793,806,842,876,904,948,959],[524,533,539,573,613,619,663,728,787,825,835,900,916,990],[626,628,630,766,826,1019],[754,901],[581,733]]