[{"0":0,"1":1,"2":2,"4":5,"5":6,"6":7,"9":14,"11":16,"12":19,"13":22,"14":27,"15":30,"16":31,"17":33,"18":34,"19":36,"20":37,"21":38,"22":39,"23":41,"24":42,"25":43,"26":44,"27":45,"28":46,"29":47,"30":50,"31":52,"32":53,"33":54,"34":55,"35":56,"36":57,"37":58,"38":59,"39":60,"40":61,"41":62,"42":64,"43":65,"44":67,"45":70,"46":72,"47":73,"48":74,"49":76,"50":77,"51":78,"52":80,"53":83,"54":84,"55":85,"56":86,"57":87,"58":88,"59":89,"60":91,"61":94,"62":96,"63":98,"64":99,"65":103,"66":105,"67":106,"68":109,"69":111,"70":112,"71":114,"72":116,"73":117,"74":120,"75":123,"76":124,"77":127,"78":130,"79":131,"80":135,"82":137,"83":139,"84":140,"85":141,"86":144,"87":148,"88":149,"89":150,"90":151,"91":152,"92":153,"93":256,"94":257,"95":258,"96":259,"97":260,"98":261,"99":262,"100":263,"101":264,"102":265,"103":266,"104":267,"105":268,"106":269,"107":270,"108":272,"109":273,"110":274,"111":276,"112":278,"113":279,"114":281,"115":282,"116":284,"117":285,"118":286,"119":287,"120":291,"121":292,"122":297,"123":298,"125":300,"126":301,"128":304,"129":305,"130":306,"131":307,"132":308,"133":309,"134":312,"135":313,"136":314,"137":315,"138":316,"139":318,"140":320,"142":322,"143":323,"144":324,"145":326,"146":327,"147":328,"148":329,"149":330,"151":335,"152":338,"153":341,"154":342,"155":344,"156":345,"157":347,"158":348,"159":349,"160":352,"161":355,"162":357,"163":360,"164":361,"165":363,"166":364,"167":365,"168":366,"169":367,"170":368,"171":370,"172":373,"173":374,"174":375,"175":376,"176":377,"177":379,"178":380,"179":381,"180":382,"181":383,"182":384,"183":385,"184":386,"185":389,"186":390,"187":394,"188":395,"189":396,"190":397,"191":398,"192":399,"193":400,"194":401,"195":402,"196":403,"197":404,"198":405,"199":410,"200":512,"201":516,"202":526,"203":528,"204":532,"205":533,"206":535,"207":540,"208":541,"209":549,"210":551,"211":552,"212":554,"213":563,"214":567,"215":570,"216":572,"217":578,"218":580,"219":582,"220":584,"221":585,"222":590,"223":596,"224":598,"225":601,"226":602,"227":603,"228":606,"229":607,"230":616,"231":621,"232":628,"233":630,"234":631,"235":639,"236":640,"237":642,"238":645,"239":646,"240":647,"241":648,"242":649,"243":650,"244":651,"245":655,"246":661,"247":667,"248":668,"249":679,"250":681,"251":686,"252":687,"253":691,"254":697,"255":699,"256":702,"257":703,"258":709,"259":712,"260":722,"261":724,"262":731,"263":734,"264":736,"265":738,"266":739,"267":740,"268":743,"269":747,"270":749,"271":751,"272":753,"273":757,"274":769,"275":773,"276":774,"277":776,"278":777,"279":779,"280":781,"281":785,"282":786,"283":790,"284":793,"285":805,"286":808,"287":809,"288":810,"289":812,"290":825,"291":826,"292":828,"293":829,"294":839,"295":845,"296":848,"297":852,"298":856,"299":860,"300":865,"301":869,"302":871,"303":876,"304":877,"305":881,"306":887,"307":888,"308":889,"309":890,"310":892,"311":901,"312":902,"313":905,"314":907,"315":908,"316":920,"317":921,"318":922,"319":936,"320":937,"321":938,"322":940,"323":942,"324":948,"325":950,"326":952,"327":953,"328":957,"329":960,"330":961,"331":962,"332":966,"333":967,"334":975,"335":977,"336":978,"337":983,"338":989,"339":992,"340":998,"341":999,"342":1001,"343":1002,"344":1004,"345":1006,"346":1009,"347":1010,"348":1011,"349":1014,"350":1018,"351":1019,"352":1020,"353":1021,"354":1022},{"0":4,"1":8,"2":10,"3":18,"4":20,"5":21,"6":24,"7":25,"8":26,"9":28,"10":29,"11":32,"12":35,"13":40,"14":48,"15":49,"16":51,"17":66,"18":68,"19":69,"20":71,"21":81,"22":82,"23":92,"24":93,"25":95,"26":97,"27":100,"28":101,"29":104,"30":108,"31":113,"32":119,"33":121,"34":122,"35":125,"36":126,"37":128,"38":129,"39":132,"40":133,"41":134,"42":138,"43":142,"44":145,"45":146,"46":147,"47":155,"48":156,"49":157,"50":158,"51":161,"52":162,"53":167,"54":174,"55":175,"56":176,"57":177,"58":178,"59":179,"60":180,"61":181,"62":182,"63":183,"64":184,"65":186,"66":187,"67":188,"69":191,"71":194,"72":195,"73":196,"74":198,"75":199,"76":200,"77":202,"78":203,"79":205,"80":208,"81":209,"83":211,"84":213,"85":214,"86":215,"87":219,"88":220,"89":221,"90":222,"92":225,"93":226,"94":227,"95":228,"96":229,"97":230,"98":232,"99":234,"101":238,"102":239,"103":240,"104":242,"105":250,"106":251,"107":252,"108":271,"109":283,"110":288,"111":289,"112":290,"113":293,"114":294,"115":295,"116":296,"117":302,"118":310,"119":311,"120":317,"121":319,"122":331,"123":332,"124":333,"125":336,"126":337,"127":340,"128":343,"129":346,"130":350,"131":351,"132":353,"133":354,"134":356,"135":359,"136":362,"137":369,"138":371,"139":372,"140":378,"141":387,"142":388,"143":391,"144":392,"145":393,"146":406,"147":407,"148":408,"149":409,"150":415,"151":416,"152":417,"153":421,"154":424,"155":425,"156":431,"157":432,"158":433,"159":434,"161":436,"162":437,"163":438,"164":439,"165":440,"166":441,"167":442,"169":447,"170":448,"171":450,"172":451,"173":452,"174":454,"175":455,"176":461,"177":462,"178":463,"180":466,"181":467,"182":469,"183":470,"184":472,"185":474,"186":475,"187":478,"188":479,"189":480,"191":482,"193":485,"194":487,"195":488,"196":489,"197":490,"198":493,"199":494,"200":495,"201":496,"202":497,"203":498,"204":502,"205":504,"206":505,"207":506,"208":508,"209":509,"210":510,"211":513,"212":515,"213":517,"214":523,"215":524,"216":525,"217":530,"218":536,"219":539,"220":544,"221":547,"222":548,"223":553,"224":555,"225":558,"226":560,"227":565,"228":566,"229":573,"230":577,"231":579,"232":587,"233":589,"234":591,"235":604,"236":608,"237":615,"238":622,"239":624,"240":626,"241":627,"242":629,"243":633,"244":638,"245":654,"246":658,"247":659,"248":660,"249":666,"250":669,"251":672,"252":674,"253":677,"254":678,"255":682,"256":689,"257":693,"258":695,"259":701,"260":710,"261":711,"262":713,"263":717,"264":726,"265":728,"266":746,"267":750,"268":752,"269":756,"270":764,"271":771,"272":772,"273":778,"274":783,"275":788,"276":796,"277":797,"278":800,"279":801,"280":803,"281":807,"282":816,"283":817,"284":820,"285":822,"286":824,"287":832,"288":833,"289":836,"290":840,"291":843,"292":853,"293":858,"294":861,"295":862,"296":866,"297":867,"298":870,"299":875,"300":878,"301":882,"302":884,"303":891,"304":897,"305":898,"306":899,"307":900,"308":903,"309":906,"310":911,"311":913,"312":916,"313":918,"314":925,"315":926,"316":927,"317":933,"318":939,"319":943,"320":944,"321":947,"322":956,"323":959,"324":964,"325":970,"326":979,"327":981,"328":984,"329":985,"330":993,"331":997,"332":1005,"333":1013,"334":1023},{"0":11,"1":13,"2":23,"3":63,"4":75,"5":79,"6":90,"7":102,"8":110,"9":115,"10":143,"11":154,"12":159,"13":163,"14":164,"15":165,"16":166,"17":169,"18":170,"19":171,"20":172,"21":173,"22":185,"23":189,"24":197,"25":204,"26":206,"27":207,"28":216,"29":224,"30":231,"31":236,"32":241,"33":243,"34":245,"35":246,"36":249,"37":253,"38":254,"39":255,"40":275,"41":277,"42":280,"43":325,"44":339,"45":358,"46":411,"47":412,"48":413,"49":414,"50":418,"51":419,"52":420,"53":422,"54":427,"55":428,"56":430,"57":443,"58":445,"59":453,"60":458,"61":460,"62":465,"63":468,"64":471,"65":473,"66":477,"67":483,"68":486,"69":492,"70":499,"71":500,"72":501,"73":503,"74":507,"75":518,"76":519,"77":522,"78":531,"79":537,"80":538,"81":542,"82":546,"83":556,"84":564,"85":569,"86":571,"87":575,"88":581,"89":593,"90":610,"91":611,"92":632,"93":635,"95":641,"96":644,"97":656,"98":662,"99":664,"100":675,"101":683,"102":688,"103":690,"104":692,"105":694,"106":698,"107":704,"108":705,"109":706,"110":707,"111":716,"112":718,"113":719,"114":725,"115":729,"116":733,"117":735,"118":741,"119":742,"120":754,"121":755,"122":762,"123":763,"124":765,"125":766,"126":782,"127":787,"129":798,"130":811,"131":814,"132":823,"133":830,"134":846,"135":847,"136":885,"137":894,"138":912,"139":914,"140":929,"141":930,"142":932,"143":934,"144":951,"145":963,"146":969,"147":976,"148":980,"149":982,"150":988,"151":991,"152":994,"153":1000,"155":1015},{"0":17,"1":107,"2":118,"3":160,"4":168,"5":193,"6":201,"7":212,"8":218,"9":233,"10":235,"11":244,"12":248,"13":423,"14":426,"15":429,"16":444,"17":457,"18":459,"19":476,"20":491,"21":511,"22":514,"23":559,"24":568,"25":574,"26":586,"27":595,"28":597,"29":623,"30":634,"31":670,"32":673,"33":700,"35":759,"36":767,"37":789,"38":795,"39":813,"40":819,"42":842,"43":844,"44":849,"45":850,"46":857,"47":868,"48":880,"49":909,"50":915,"51":928,"52":935,"53":941,"54":972,"55":973,"56":990,"57":995},{"0":217,"1":247,"2":449,"3":456,"4":520,"5":529,"7":599,"8":613,"9":617,"10":653,"11":663,"12":723,"13":748,"14":799,"15":854,"16":859,"17":874,"18":883,"19":893,"21":923,"22":924,"23":946,"24":949,"25":968},{"0":643,"1":652,"3":715,"4":720,"5":737,"6":761,"7":821,"8":855,"10":872,"11":879,"12":965,"13":1007},{"1":637,"2":680,"3":708,"4":727,"5":770,"6":775,"7":780,"8":806,"9":815,"10":835,"11":886,"12":896,"13":958,"14":1017},{"0":561,"1":583,"2":588,"3":592,"4":665,"5":684,"6":685,"8":714,"9":730,"10":838,"11":904,"12":910,"13":919,"14":996,"15":1016},{"0":600,"2":625,"3":732,"4":758,"5":784,"7":873,"8":954,"9":955,"10":974},{"1":550,"2":576,"3":594,"4":794,"5":804,"6":831,"7":1003},{"0":562,"1":605,"4":837,"5":931},[744,768,1012],{"0":527,"2":614,"4":657},{"1":818},[],[],[],[]]