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