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