[[1,2,3,4,5,6,8,9,10,12,13,14,15,16,17,20,22,24,25,26,27,28,29,31,32,33,34,35,36,37,38,39,41,45,46,47,49,50,51,52,55,56,58,61,62,65,66,67,68,70,71,73,76,80,83,259,260,261,262,263,265,266,267,268,271,272,273,276,277,278,280,281,282,283,284,285,286,287,288,289,290,292,293,295,296,298,299,300,302,303,304,305,306,307,308,309,310,312,313,315,316,317,318,319,320,321,322,323,325,326,327,330,331,332,333,334,335,336,338,339,513,516,517,521,522,528,537,539,552,557,564,580,589,594,596,598,608,609,615,617,621,628,629,631,632,633,637,663,678,679,682,688,702,718,725,727,740,741,752,762,765,772,785,788,795,802,806,820,826,836,840,843,844,845,858,861,870,875,883,900,901,904,908,909,912,916,919,923,931,936,939,942,944,948,951,952,963,975,985,990,991,999,1001,1017,1018],{"0":7,"1":11,"2":18,"3":19,"4":21,"5":23,"6":30,"7":40,"8":42,"9":44,"10":48,"11":53,"12":54,"13":57,"14":59,"15":60,"16":63,"17":64,"18":72,"19":74,"20":75,"21":77,"22":78,"23":79,"24":81,"25":84,"26":85,"27":86,"28":88,"29":89,"30":91,"31":94,"32":95,"33":98,"34":99,"35":100,"36":103,"37":104,"38":106,"39":107,"40":111,"41":113,"42":114,"43":116,"44":118,"45":120,"47":125,"48":126,"49":127,"50":128,"51":129,"52":131,"53":133,"54":134,"55":135,"56":138,"57":141,"58":146,"59":147,"60":150,"61":153,"62":155,"63":157,"64":158,"65":160,"66":256,"67":258,"68":264,"69":269,"70":270,"71":274,"72":275,"73":279,"74":301,"75":311,"76":314,"77":329,"78":337,"79":340,"80":341,"81":343,"82":348,"83":350,"84":351,"85":352,"86":353,"87":354,"88":355,"89":359,"90":361,"91":362,"92":363,"93":364,"94":365,"95":366,"96":367,"97":373,"98":374,"99":375,"100":377,"101":379,"102":380,"103":381,"104":382,"105":383,"106":384,"107":386,"108":387,"109":390,"110":393,"111":398,"112":399,"113":400,"114":401,"115":404,"116":405,"117":407,"118":408,"119":409,"120":412,"121":416,"122":514,"123":527,"124":533,"125":546,"126":566,"127":570,"128":571,"129":588,"130":602,"131":603,"132":605,"133":616,"134":627,"135":638,"136":640,"137":642,"138":651,"139":654,"140":657,"141":667,"142":669,"143":675,"144":685,"145":687,"146":726,"147":729,"148":742,"149":747,"150":749,"151":760,"152":761,"153":776,"154":779,"155":789,"156":792,"157":800,"158":816,"159":817,"160":821,"161":828,"162":829,"163":833,"164":837,"165":841,"166":850,"167":859,"168":863,"169":864,"170":865,"171":869,"172":871,"173":874,"174":879,"175":881,"176":885,"177":887,"178":899,"179":911,"180":922,"181":932,"182":934,"183":938,"184":955,"185":956,"186":959,"187":966,"188":969,"189":984,"190":986,"191":994,"192":1009},[43,69,82,87,90,93,96,97,101,102,105,109,110,112,115,119,122,124,130,132,137,139,140,142,144,145,149,151,156,159,161,162,163,165,167,168,169,171,172,173,175,176,178,179,180,181,185,186,187,189,194,195,197,198,201,202,203,206,209,211,212,213,214,218,221,223,224,226,228,232,235,237,240,244,257,291,294,297,328,342,344,345,346,347,349,357,369,371,372,378,385,388,392,394,395,402,403,406,410,413,414,417,418,420,424,428,430,431,434,436,437,438,441,443,450,452,453,454,455,456,457,458,459,460,461,463,467,468,469,472,473,474,475,476,477,479,481,482,485,486,487,488,492,493,494,495,496,498,500,515,520,549,561,563,568,578,581,599,610,618,619,625,636,639,656,659,660,662,664,692,699,701,704,705,706,721,722,735,754,770,773,790,794,804,832,838,849,851,853,854,856,866,876,878,882,905,910,926,929,972,978,997,1005,1010,1014,1023],[0,92,108,117,123,148,152,154,164,166,170,174,177,183,184,192,193,200,204,205,208,215,216,219,220,230,233,236,238,239,241,242,243,245,246,247,250,252,253,255,356,358,360,368,370,389,391,396,397,415,421,425,429,432,439,442,444,445,447,448,451,462,464,465,470,471,480,483,489,490,491,497,506,507,511,519,523,529,538,544,551,554,556,573,574,582,583,586,587,606,624,630,641,644,652,655,668,689,693,697,709,714,717,731,732,733,748,763,778,803,809,834,873,884,886,895,914,925,976,980,1006,1012,1019],[136,143,190,191,196,199,207,210,217,222,225,227,231,234,248,249,251,254,324,376,411,419,426,427,433,440,449,466,484,501,503,504,505,509,512,524,531,547,548,562,585,614,622,645,646,666,680,681,684,703,708,710,711,716,744,753,764,774,791,793,797,798,822,827,848,860,877,888,894,896,913,933,935,941,946,958,961,973,996,998,1003,1013,1015,1016,1021],[188,229,422,423,435,446,478,499,526,534,541,542,543,545,553,559,597,601,611,612,620,626,634,647,665,672,686,713,728,737,784,796,808,813,814,839,846,891,892,893,897,903,907,918,930,968,971,977,1022],[182,502,508,510,525,535,555,592,604,613,635,650,658,671,674,676,700,712,724,743,746,755,759,767,769,780,783,799,801,811,835,852,855,857,889,902,937,945,954,967,974,979,981,995,1011],[518,567,575,576,584,607,673,694,695,698,720,736,758,787,805,807,810,818,825,842,862,867,868,915,924,965,970,983,1004,1008,1020],[530,532,579,670,677,690,696,751,757,768,781,782,786,815,847,872,890,920,921,927,957,989,992,1007],[558,569,643,661,730,734,745,766,775,777,831,880,947,953,962,982],[536,550,623,756,771,823,824,917,943,987],[572,591,593,600,649,750,830,906,940,960,993],[577,590,648,715,719,812,819,949,988],[691,964,1002],[540,565,653,738,739,898,928,950],[560,723],[683,1000],[707],[595]]