[{"0":0,"1":1,"2":5,"3":7,"4":9,"5":10,"6":12,"7":14,"8":29,"9":32,"10":36,"11":40,"12":41,"13":48,"14":51,"15":55,"16":57,"17":58,"18":59,"19":61,"20":62,"21":63,"22":64,"23":66,"24":67,"25":69,"26":70,"27":71,"28":72,"29":73,"30":74,"31":76,"32":78,"33":79,"34":80,"35":81,"36":100,"37":101,"38":102,"39":103,"40":104,"41":107,"42":108,"43":111,"44":113,"45":114,"46":115,"47":116,"48":117,"49":121,"50":122,"51":123,"52":124,"53":126,"54":127,"55":128,"56":129,"57":131,"58":132,"59":133,"60":134,"61":137,"62":140,"63":141,"64":143,"65":146,"66":147,"67":148,"68":149,"69":150,"70":176,"71":185,"72":186,"73":195,"74":196,"75":206,"76":207,"77":208,"78":209,"79":210,"80":211,"81":212,"82":215,"83":237,"84":242,"85":244,"86":246,"87":247,"88":250,"89":251,"90":252,"91":256,"92":257,"93":258,"94":260,"95":262,"96":263,"97":266,"98":267,"99":268,"100":269,"101":271,"102":272,"103":273,"104":274,"105":275,"106":276,"107":277,"108":278,"109":280,"110":302,"111":304,"112":306,"113":307,"114":308,"115":314,"116":315,"117":319,"118":320,"119":321,"120":323,"121":324,"122":326,"123":327,"124":330,"125":331,"126":332,"127":335,"128":336,"129":340,"130":341,"131":342,"132":343,"133":344,"134":345,"135":347,"136":348,"137":390,"138":392,"139":395,"140":400,"141":407,"142":411,"143":428,"144":429,"145":430,"146":431,"147":432,"148":437,"149":439,"150":440,"151":441,"152":464,"153":466,"154":467,"155":470,"156":474,"157":477,"158":481,"159":484,"160":485,"161":489,"162":490,"163":491,"164":492,"165":494,"166":495,"167":496,"168":497,"169":507,"170":515,"171":517,"172":519,"173":521,"174":522,"175":523,"177":554,"178":555,"179":556,"180":560,"181":562,"182":565,"183":567,"184":568,"185":569,"186":570,"187":571,"188":572,"189":604,"190":606,"191":607,"192":608,"193":611,"194":612,"195":613,"196":617,"197":622,"198":623,"199":629,"200":631,"201":637,"202":638,"203":640,"204":644,"205":648,"206":652,"207":653,"208":654,"209":655,"210":656,"211":657,"212":659,"213":661,"214":662,"215":682,"216":684,"217":688,"218":689,"219":690,"220":691,"221":692,"222":695,"223":701,"224":706,"225":707,"226":708,"227":712,"228":748,"229":774,"230":775,"231":776,"232":777,"233":779,"234":780,"235":782,"236":783,"237":784,"238":785,"239":786,"240":787,"241":788,"242":789,"243":790,"244":791,"245":792,"246":793,"247":794,"248":795,"249":797,"250":798,"251":799,"252":800,"253":801,"254":816,"255":819,"256":823,"257":824,"258":825,"259":826,"260":827,"261":828,"262":830,"263":831,"264":832,"265":834,"266":835,"267":836,"268":837,"269":838,"270":839,"271":840,"272":841,"273":843,"274":844,"275":845,"276":847,"277":849,"278":851,"279":852,"280":856,"281":858,"282":859,"283":860,"284":861,"285":862,"286":863,"287":864,"288":865,"289":866,"290":901,"291":903,"292":904,"293":909,"294":910,"295":911,"296":914,"297":915,"298":920,"299":921,"300":922,"301":940,"302":943,"303":947,"304":949,"305":950,"306":957,"307":959,"308":962,"309":966,"310":968,"311":969,"312":970,"313":971,"314":975,"315":976,"316":977,"317":978,"318":982,"319":1001,"320":1002,"321":1014,"322":1016,"323":1017},{"0":3,"1":4,"2":15,"3":20,"4":21,"5":30,"6":31,"7":33,"8":34,"9":35,"10":37,"11":43,"12":44,"13":45,"14":53,"15":54,"16":56,"17":60,"18":65,"19":68,"20":75,"21":77,"22":82,"23":84,"24":85,"25":86,"26":89,"27":90,"28":91,"29":92,"30":93,"31":99,"32":105,"33":106,"34":109,"35":112,"36":118,"37":120,"38":136,"39":139,"40":142,"41":144,"42":154,"43":156,"44":159,"45":162,"46":163,"47":166,"48":167,"49":180,"50":188,"51":190,"52":197,"53":198,"54":201,"55":202,"56":213,"57":214,"58":217,"59":220,"60":221,"61":222,"62":223,"63":224,"64":228,"65":236,"66":241,"67":249,"68":253,"69":259,"70":261,"71":264,"72":265,"73":270,"74":279,"75":281,"76":282,"77":283,"78":284,"79":287,"80":291,"81":293,"82":294,"83":295,"84":301,"85":305,"86":309,"87":311,"88":313,"89":317,"90":328,"91":329,"92":333,"93":337,"94":338,"95":346,"96":350,"97":351,"98":352,"99":354,"100":355,"101":357,"102":358,"103":360,"104":363,"105":364,"106":365,"107":366,"108":368,"109":370,"110":371,"111":372,"112":373,"113":376,"114":378,"115":385,"116":386,"117":389,"118":393,"119":394,"120":396,"121":398,"122":401,"123":402,"124":404,"125":409,"126":412,"127":418,"128":419,"129":425,"130":426,"131":433,"132":434,"133":438,"134":444,"135":445,"136":446,"137":448,"138":449,"139":450,"140":453,"141":459,"142":461,"143":462,"144":465,"145":468,"146":479,"147":482,"148":483,"149":500,"150":501,"151":509,"152":510,"153":513,"154":514,"155":516,"156":520,"157":525,"158":526,"159":527,"161":531,"162":532,"167":550,"169":557,"170":558,"171":559,"172":561,"173":563,"174":564,"175":566,"176":573,"177":574,"178":575,"179":576,"180":579,"181":588,"182":589,"183":592,"184":593,"185":594,"186":595,"187":603,"188":605,"189":615,"190":624,"191":625,"192":627,"193":628,"194":630,"195":641,"196":645,"197":646,"198":649,"199":650,"200":651,"201":658,"202":663,"203":667,"204":668,"205":669,"206":670,"207":671,"208":677,"209":681,"210":686,"211":693,"212":699,"213":700,"214":703,"215":704,"216":709,"217":710,"218":711,"219":713,"220":714,"221":716,"222":717,"223":719,"224":729,"225":732,"226":733,"227":734,"228":753,"229":765,"230":778,"231":781,"232":796,"233":802,"234":803,"235":804,"236":807,"237":808,"238":809,"239":810,"240":817,"241":820,"242":822,"243":833,"244":842,"245":848,"246":850,"247":853,"248":854,"249":855,"250":857,"251":867,"252":868,"253":869,"254":870,"255":871,"256":872,"257":875,"258":876,"259":877,"260":878,"261":879,"262":887,"263":905,"264":918,"265":923,"266":925,"267":928,"268":930,"269":933,"270":934,"271":939,"272":941,"273":942,"274":945,"275":953,"276":956,"277":961,"278":963,"279":964,"280":965,"281":967,"282":972,"283":973,"284":974,"285":981,"286":983,"287":984,"288":985,"289":987,"290":988,"291":989,"292":992,"293":996,"294":999,"295":1005,"296":1008,"297":1011,"298":1013,"299":1019,"300":1021},{"0":11,"1":13,"2":19,"3":23,"4":24,"5":26,"6":27,"7":28,"8":38,"9":39,"10":42,"11":46,"12":47,"13":52,"14":87,"15":88,"16":96,"17":110,"18":119,"19":125,"20":130,"21":138,"22":145,"23":152,"24":153,"25":155,"26":157,"27":171,"28":172,"29":173,"30":174,"31":175,"32":177,"33":182,"34":191,"35":193,"36":194,"37":205,"38":218,"39":225,"40":226,"41":231,"42":243,"43":248,"44":254,"45":285,"46":288,"47":289,"48":292,"49":297,"50":298,"52":300,"53":310,"54":312,"55":316,"56":318,"57":334,"58":339,"59":349,"60":361,"61":362,"62":367,"63":369,"64":374,"65":375,"66":377,"67":379,"68":380,"69":381,"70":383,"71":384,"72":387,"73":388,"74":391,"75":397,"76":399,"77":410,"78":413,"79":415,"80":416,"81":417,"82":420,"83":421,"84":422,"85":423,"86":435,"87":443,"88":451,"89":452,"90":463,"91":471,"92":472,"93":476,"94":478,"95":486,"96":493,"97":498,"98":499,"99":502,"100":503,"101":506,"102":518,"105":537,"106":538,"107":540,"108":549,"110":578,"111":580,"112":581,"113":583,"114":584,"115":586,"116":596,"117":598,"118":599,"119":601,"120":602,"121":616,"122":618,"123":619,"124":621,"125":626,"126":633,"127":634,"128":635,"129":636,"130":642,"131":643,"132":647,"133":660,"134":664,"135":665,"136":666,"137":673,"138":676,"139":678,"140":680,"141":715,"142":718,"143":720,"144":721,"145":722,"146":724,"147":725,"149":730,"150":731,"151":735,"152":736,"153":737,"154":738,"155":739,"157":759,"158":760,"159":766,"160":815,"161":818,"162":821,"163":846,"164":873,"165":874,"166":880,"167":882,"168":883,"169":888,"170":892,"171":894,"172":899,"173":913,"174":917,"175":919,"176":924,"177":926,"178":929,"179":931,"180":932,"181":935,"182":936,"183":944,"184":946,"185":948,"186":954,"187":955,"188":958,"189":979,"190":986,"191":990,"192":995,"193":997,"194":998,"195":1004,"196":1006,"197":1009,"198":1015,"199":1018,"200":1020,"201":1022},{"0":6,"1":16,"2":18,"3":49,"4":50,"5":83,"6":94,"7":95,"8":97,"9":151,"10":160,"11":165,"12":168,"13":178,"14":179,"15":181,"16":183,"17":184,"18":187,"19":189,"20":192,"21":204,"22":216,"23":219,"24":227,"25":229,"26":233,"27":234,"28":235,"29":238,"30":239,"31":286,"32":290,"33":296,"34":322,"35":325,"36":356,"37":359,"38":382,"39":403,"40":405,"41":406,"42":408,"43":424,"44":427,"45":436,"46":442,"47":447,"48":454,"49":458,"50":488,"51":504,"52":505,"54":535,"55":536,"56":582,"57":587,"58":591,"59":600,"60":609,"61":610,"62":614,"63":632,"64":639,"65":674,"66":679,"67":683,"68":687,"69":696,"70":697,"71":698,"72":705,"73":723,"75":752,"76":756,"77":764,"78":770,"79":805,"80":806,"81":811,"82":812,"83":813,"84":814,"85":829,"86":881,"87":897,"88":907,"89":938,"90":951,"91":952,"92":960,"93":980,"94":993,"95":994,"96":1000,"97":1010,"98":1012,"99":1023},[2,8,17,135,158,161,164,170,199,200,203,230,232,240,303,353,414,455,456,457,460,473,511,512,585,590,597,620,672,675,694,702,728,745,747,754,762,767,885,889,893,912,916,927,1003,1007],[22,25,169,508,577,685,758,768,898,900,991],[98,245,890,937],[255,469,475,487,891,896,906],[480,740,743,761,772,886,895],[744,757,769,773],[547,741,750,884,902,908],[539,548,551,751,755],[749,763,771],[541,542,545,746]]