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