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