[{"0":0,"1":1,"2":2,"3":3,"4":5,"5":7,"6":8,"7":9,"8":10,"9":11,"10":12,"11":13,"12":14,"13":15,"14":16,"15":17,"16":18,"17":19,"18":20,"19":21,"20":24,"21":25,"22":26,"23":27,"24":28,"25":30,"26":31,"27":32,"28":33,"29":34,"30":36,"31":37,"32":38,"33":39,"34":40,"35":41,"36":42,"37":43,"38":45,"39":46,"40":47,"41":48,"42":49,"43":50,"44":53,"45":54,"46":55,"47":56,"48":57,"49":58,"50":59,"51":60,"52":61,"53":62,"54":63,"55":64,"56":66,"57":67,"58":68,"59":69,"60":70,"61":71,"62":74,"63":75,"64":76,"65":77,"66":79,"67":80,"68":81,"69":82,"70":84,"71":85,"72":87,"73":88,"74":89,"75":90,"76":91,"77":92,"78":93,"79":94,"80":95,"81":96,"82":97,"83":98,"84":100,"85":101,"86":102,"87":103,"88":104,"89":105,"90":106,"91":108,"92":109,"93":110,"95":112,"96":113,"97":114,"98":115,"99":116,"100":117,"101":119,"102":120,"103":121,"104":122,"105":123,"106":124,"107":125,"108":126,"109":127,"110":128,"111":129,"112":132,"113":133,"114":134,"115":136,"116":137,"117":138,"118":139,"119":141,"120":142,"121":143,"122":144,"123":145,"124":146,"125":147,"126":148,"127":149,"128":150,"129":151,"130":152,"131":154,"132":155,"133":156,"134":157,"135":158,"136":159,"137":160,"138":162,"139":163,"140":165,"141":166,"142":167,"143":168,"144":169,"145":172,"146":173,"147":174,"148":175,"149":176,"150":177,"151":178,"152":180,"153":181,"154":182,"155":183,"156":185,"157":187,"158":188,"159":189,"160":190,"161":191,"162":194,"163":196,"164":197,"165":198,"166":199,"167":200,"168":201,"169":202,"170":204,"171":205,"172":206,"173":207,"174":208,"175":209,"176":210,"177":211,"178":212,"179":214,"180":215,"181":216,"182":217,"183":218,"184":219,"185":220,"186":221,"187":222,"188":223,"189":225,"190":226,"191":227,"192":228,"193":229,"194":230,"195":231,"196":232,"197":233,"198":256,"199":257,"200":258,"201":259,"202":260,"203":261,"204":262,"205":263,"206":265,"207":266,"208":267,"209":268,"210":269,"211":270,"212":271,"213":272,"214":275,"215":276,"216":279,"217":281,"218":282,"219":283,"220":284,"221":285,"222":286,"223":288,"224":289,"225":290,"226":291,"227":292,"228":293,"229":294,"230":295,"231":297,"232":298,"233":299,"234":300,"235":302,"236":304,"237":305,"238":306,"239":307,"240":309,"241":310,"242":311,"243":312,"244":313,"245":314,"246":315,"247":316,"248":317,"249":318,"250":319,"251":321,"252":322,"253":324,"254":325,"255":327,"256":328,"257":329,"258":330,"259":331,"260":332,"261":333,"262":335,"263":336,"264":337,"265":338,"266":339,"267":340,"268":341,"269":342,"270":343,"271":345,"272":346,"273":348,"274":349,"275":350,"276":351,"277":352,"278":353,"279":354,"280":355,"281":357,"282":358,"283":360,"284":361,"285":362,"286":363,"287":364,"288":367,"289":368,"290":369,"291":370,"292":371,"293":372,"294":373,"295":374,"296":375,"297":376,"298":379,"299":380,"300":382,"301":383,"302":384,"303":385,"304":386,"305":388,"306":389,"307":390,"308":391,"309":392,"310":393,"311":394,"312":395,"313":396,"314":397,"315":399,"316":400,"317":402,"318":403,"319":405,"320":408,"321":409,"322":412,"323":413,"324":418,"325":419,"326":420,"327":421,"328":422,"329":423,"330":424,"331":426,"332":427,"333":428,"334":429,"335":430,"336":431,"337":432,"338":433,"339":434,"340":435,"341":437,"342":438,"343":440,"344":441,"345":442,"346":444,"347":445,"348":446,"349":447,"350":448,"351":449,"352":450,"353":451,"354":452,"355":453,"356":454,"357":455,"358":456,"359":457,"360":458,"361":459,"362":460,"363":461,"364":462,"365":465,"366":466,"367":468,"368":469,"369":470,"370":471,"371":472,"372":474,"373":476,"374":477,"375":478,"376":480,"377":481,"378":483,"379":485,"380":486,"381":487,"382":488,"383":512,"384":514,"385":523,"386":526,"387":529,"388":542,"389":547,"390":553,"391":556,"392":565,"393":572,"394":574,"395":577,"396":580,"397":581,"398":582,"399":587,"400":591,"401":594,"402":596,"403":600,"404":604,"405":607,"406":611,"407":612,"408":614,"409":618,"410":620,"411":629,"412":630,"413":634,"414":640,"415":644,"416":646,"417":648,"418":650,"419":652,"420":655,"421":662,"422":665,"423":666,"424":667,"425":668,"426":669,"427":670,"428":674,"429":688,"430":690,"431":701,"432":706,"433":707,"434":709,"435":710,"436":712,"437":715,"438":726,"439":727,"440":728,"441":729,"442":730,"443":732,"444":733,"445":735,"446":738,"447":741,"448":743,"449":744,"450":754,"451":756,"452":757,"453":760,"454":762,"455":764,"456":766,"457":769,"458":774,"459":775,"460":779,"461":782,"462":783,"463":785,"464":789,"465":793,"466":795,"467":804,"468":806,"469":818,"470":827,"471":828,"472":831,"473":833,"474":836,"475":844,"476":845,"477":847,"478":853,"479":860,"480":862,"481":863,"482":869,"483":870,"484":872,"485":874,"486":880,"487":883,"488":884,"489":887,"490":892,"491":908,"492":911,"493":912,"494":920,"495":922,"496":923,"497":924,"498":926,"499":933,"500":936,"501":937,"502":941,"503":952,"504":957,"505":959,"506":963,"507":965,"508":967,"509":968,"510":973,"511":976,"512":989,"513":990,"514":994,"515":998,"516":1001,"517":1002,"518":1006,"519":1010,"520":1017,"521":1019,"522":1020,"523":1021},[4,6,23,29,35,44,51,52,65,73,78,83,86,99,107,118,130,135,140,153,161,164,170,179,184,186,192,193,195,203,213,224,234,235,236,238,240,241,242,243,244,245,246,248,249,250,251,252,254,255,264,277,278,280,296,303,326,334,344,356,359,365,366,377,378,381,387,398,401,404,411,414,415,416,417,425,436,463,467,473,482,484,489,490,492,493,494,496,497,498,500,501,502,503,505,506,507,508,509,511,515,516,517,519,520,527,532,533,534,537,541,552,559,561,562,563,569,571,575,578,585,590,597,599,603,605,610,613,622,624,626,627,628,633,637,643,645,647,657,664,671,672,673,675,678,680,682,683,685,686,692,693,694,697,698,705,714,717,721,731,737,739,740,748,750,755,763,765,767,772,778,787,788,790,791,794,799,802,807,823,824,826,835,837,840,842,846,858,859,861,865,867,873,878,882,885,896,898,900,902,903,904,906,915,916,919,921,925,927,928,929,934,938,945,953,958,971,974,975,979,982,983,985,987,993,995,996,1003,1005,1011,1014,1015],{"0":22,"1":72,"2":131,"3":171,"4":237,"5":239,"6":247,"7":253,"8":273,"9":274,"10":287,"11":301,"12":308,"13":320,"14":323,"15":347,"16":406,"17":407,"18":410,"19":439,"20":443,"21":464,"22":475,"23":479,"24":491,"25":499,"26":504,"27":510,"28":513,"29":521,"30":522,"31":524,"32":525,"33":528,"34":530,"35":535,"36":540,"37":546,"38":549,"39":557,"41":560,"42":566,"43":567,"44":583,"45":595,"46":598,"47":601,"48":609,"49":623,"50":631,"51":649,"52":658,"53":660,"54":676,"55":677,"56":681,"57":700,"58":703,"59":718,"60":720,"61":724,"62":736,"63":745,"64":752,"65":758,"66":761,"67":777,"68":786,"69":792,"70":800,"71":805,"72":813,"73":814,"74":816,"75":819,"76":822,"77":829,"78":830,"79":834,"80":838,"81":843,"82":851,"83":856,"84":864,"85":866,"86":881,"87":888,"88":893,"89":894,"90":895,"91":897,"92":899,"93":913,"94":931,"95":932,"96":943,"97":944,"98":948,"99":949,"100":950,"101":956,"102":970,"103":977,"104":988,"105":992,"106":1009,"107":1012},{"0":495,"1":531,"2":548,"4":568,"5":570,"6":573,"7":579,"8":593,"9":615,"10":619,"11":625,"13":635,"14":638,"15":639,"16":651,"17":654,"18":663,"19":679,"20":684,"21":687,"22":711,"23":716,"24":719,"25":734,"26":746,"27":747,"28":751,"29":768,"30":770,"31":776,"32":801,"33":820,"34":839,"35":852,"36":854,"37":855,"38":857,"39":868,"40":871,"41":875,"42":876,"43":886,"44":889,"45":901,"46":905,"47":907,"48":910,"49":930,"50":935,"51":939,"52":946,"53":947,"54":955,"55":961,"56":972,"57":997,"58":999,"59":1013,"60":1016,"61":1018,"62":1023},{"0":518,"1":543,"2":544,"3":545,"4":550,"5":554,"6":564,"7":576,"8":584,"9":586,"10":589,"11":602,"12":606,"13":608,"14":616,"15":636,"16":691,"17":695,"18":696,"19":699,"20":704,"21":708,"22":713,"23":723,"24":742,"25":753,"26":759,"27":773,"28":780,"29":796,"30":797,"31":803,"32":808,"33":815,"34":832,"35":848,"36":849,"37":914,"38":917,"39":951,"41":960,"42":969,"43":980,"44":984,"45":1007,"46":1008},[536,538,588,592,621,641,653,659,722,725,771,781,798,809,810,812,817,825,841,850,877,890,891,942,962,966,978,986,1000],[617,689,784,811,940,964],[656,821,909,991,1004],[642,702,879,981],[551,661,749,918,1022],[539]]