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