[{"1":2,"3":4,"5":6,"6":8,"9":11,"10":12,"12":14,"13":15,"14":16,"15":17,"16":19,"17":20,"19":23,"21":25,"22":26,"23":27,"25":30,"26":31,"28":35,"29":36,"30":38,"31":40,"32":41,"33":43,"35":46,"36":47,"37":48,"38":50,"39":52,"40":53,"41":54,"42":55,"43":56,"44":57,"45":58,"46":59,"47":62,"48":63,"50":67,"51":68,"52":69,"54":71,"55":72,"57":74,"58":75,"60":77,"62":79,"63":80,"64":83,"65":85,"66":86,"67":87,"69":90,"70":91,"71":95,"73":98,"74":99,"77":103,"78":104,"79":106,"80":107,"81":109,"82":115,"83":118,"84":121,"85":122,"86":123,"87":124,"88":125,"89":127,"90":128,"91":130,"92":131,"93":133,"94":134,"95":135,"96":136,"97":137,"98":138,"99":140,"100":141,"101":142,"102":143,"103":145,"104":146,"105":148,"106":149,"107":150,"108":151,"109":152,"110":153,"111":154,"112":155,"113":157,"114":159,"115":160,"117":163,"118":164,"119":167,"120":168,"121":172,"122":175,"123":176,"124":177,"125":179,"126":181,"127":183,"128":186,"129":187,"130":188,"131":191,"132":192,"133":193,"134":194,"135":196,"136":198,"137":199,"138":201,"139":202,"140":203,"141":256,"143":258,"144":259,"146":261,"147":262,"148":264,"149":265,"150":266,"151":268,"153":271,"154":272,"155":273,"156":275,"157":277,"158":278,"161":281,"162":282,"163":284,"166":287,"167":288,"168":289,"169":290,"170":291,"172":294,"173":295,"174":298,"175":300,"176":301,"177":302,"178":303,"179":305,"180":308,"181":309,"182":310,"183":311,"184":312,"185":313,"186":315,"187":316,"188":318,"189":319,"190":320,"191":321,"193":323,"195":325,"199":330,"200":331,"201":333,"202":334,"203":336,"204":337,"205":338,"206":340,"207":341,"208":342,"209":344,"211":346,"212":347,"214":349,"215":351,"216":352,"218":356,"219":358,"220":359,"221":360,"222":361,"223":362,"224":363,"225":366,"226":367,"227":368,"228":370,"229":372,"230":373,"231":374,"233":376,"234":377,"235":379,"237":382,"238":385,"239":386,"240":387,"241":388,"242":389,"243":390,"244":391,"245":392,"246":394,"247":396,"248":397,"249":398,"250":399,"251":401,"252":405,"253":407,"254":408,"255":411,"256":412,"257":414,"258":415,"259":416,"260":419,"261":420,"262":422,"263":423,"264":424,"265":425,"266":426,"267":428,"268":430,"269":431,"270":432,"271":433,"272":434,"273":435,"274":436,"275":438,"277":441,"278":442,"279":443,"280":444,"281":445,"282":448,"283":450,"284":451,"285":452,"286":453,"287":454,"288":455,"289":456,"290":457,"291":460,"292":462,"293":514,"294":515,"295":516,"296":519,"298":527,"299":532,"300":535,"301":536,"302":538,"303":542,"304":545,"305":548,"306":550,"307":551,"308":554,"309":556,"310":558,"311":559,"312":564,"313":569,"314":571,"315":574,"316":580,"317":582,"318":583,"319":585,"320":586,"321":590,"322":594,"323":595,"324":597,"325":600,"326":601,"327":602,"328":609,"329":611,"330":613,"331":614,"332":615,"333":616,"334":620,"335":627,"336":628,"337":629,"338":630,"339":632,"340":637,"341":640,"342":641,"343":649,"344":654,"345":664,"346":666,"348":669,"349":670,"350":675,"351":676,"352":679,"353":684,"354":687,"355":695,"356":696,"357":697,"358":698,"359":709,"360":714,"361":717,"363":721,"364":725,"365":726,"366":728,"367":729,"368":731,"369":734,"370":742,"371":743,"372":745,"373":749,"374":751,"375":752,"376":758,"377":761,"378":763,"379":771,"380":773,"381":775,"382":776,"383":780,"385":787,"386":788,"387":790,"388":800,"389":803,"390":804,"391":806,"392":807,"393":811,"394":813,"395":816,"396":817,"397":818,"399":843,"400":848,"401":849,"402":850,"403":851,"404":853,"405":854,"406":855,"407":864,"408":869,"409":870,"410":875,"411":876,"412":877,"413":881,"414":882,"415":887,"416":888,"417":891,"418":893,"419":896,"420":897,"421":899,"422":905,"423":909,"424":912,"425":914,"426":917,"427":918,"428":924,"429":925,"430":927,"431":929,"432":930,"433":939,"434":947,"435":950,"436":952,"437":954,"438":955,"439":956,"440":961,"441":971,"442":973,"443":977,"444":978,"445":980,"446":983,"447":985,"448":988,"449":991,"450":996,"451":998,"452":1000,"453":1002,"454":1003,"455":1004,"456":1006,"457":1014,"458":1016,"459":1019,"460":1022,"461":1023},{"0":0,"1":7,"3":28,"4":33,"5":34,"6":37,"7":39,"8":42,"9":44,"10":49,"12":60,"13":61,"14":65,"15":81,"16":82,"17":84,"18":89,"19":92,"20":93,"21":94,"22":96,"23":100,"24":105,"25":110,"26":111,"27":113,"28":114,"29":116,"30":117,"31":119,"32":126,"33":129,"34":132,"35":139,"36":144,"37":147,"38":156,"39":158,"40":161,"41":165,"42":166,"43":169,"44":173,"45":178,"46":180,"47":184,"48":190,"49":195,"50":197,"51":200,"52":204,"53":205,"54":206,"55":207,"56":208,"57":209,"58":211,"59":213,"60":215,"61":217,"62":218,"63":220,"64":224,"65":225,"66":226,"67":228,"68":230,"69":231,"70":232,"72":235,"73":236,"74":237,"75":239,"76":241,"77":243,"78":244,"79":245,"80":247,"81":249,"82":251,"83":252,"84":253,"85":254,"87":269,"88":274,"89":276,"90":283,"91":293,"92":296,"93":297,"94":299,"95":304,"96":306,"97":307,"98":314,"99":317,"100":328,"101":332,"102":335,"103":339,"104":343,"105":350,"106":354,"107":355,"108":357,"109":364,"110":365,"111":369,"112":371,"113":378,"114":381,"115":383,"116":384,"117":393,"118":395,"119":400,"120":402,"121":403,"122":404,"123":406,"124":409,"125":410,"126":413,"127":417,"128":418,"129":421,"130":427,"131":429,"132":437,"133":439,"134":446,"135":447,"136":449,"137":458,"138":459,"139":461,"140":464,"141":465,"142":466,"143":467,"144":469,"145":470,"146":471,"147":472,"148":474,"149":477,"150":479,"151":480,"152":481,"153":485,"154":486,"155":490,"157":492,"158":494,"159":496,"160":497,"161":501,"162":503,"163":505,"164":506,"165":507,"166":508,"167":509,"168":510,"169":511,"170":524,"171":525,"172":528,"173":530,"174":534,"175":540,"176":543,"177":546,"178":549,"179":553,"180":557,"181":560,"182":562,"183":563,"184":566,"185":567,"186":568,"187":578,"188":587,"189":592,"190":599,"191":603,"192":604,"193":606,"194":634,"195":639,"196":642,"197":643,"198":644,"199":645,"200":647,"201":651,"202":656,"203":657,"204":659,"205":660,"206":662,"207":663,"208":665,"209":667,"210":671,"211":678,"212":680,"213":681,"214":682,"215":683,"216":686,"217":688,"218":689,"219":692,"220":693,"221":694,"222":702,"223":704,"224":705,"225":706,"226":707,"227":708,"228":711,"229":712,"230":719,"231":722,"232":724,"233":733,"234":735,"235":736,"236":738,"237":739,"238":744,"239":746,"240":747,"241":748,"242":750,"243":755,"244":756,"245":762,"246":765,"247":767,"248":769,"249":770,"250":772,"251":774,"252":778,"253":784,"254":786,"255":789,"256":792,"257":794,"258":805,"259":815,"260":820,"261":821,"262":824,"263":826,"264":829,"265":830,"266":836,"267":839,"268":840,"269":841,"270":842,"271":844,"272":845,"273":846,"274":856,"275":857,"276":860,"277":861,"278":862,"279":863,"280":866,"281":871,"282":874,"283":878,"284":880,"285":885,"286":894,"287":902,"288":903,"289":907,"290":911,"291":915,"292":916,"293":921,"294":926,"295":933,"296":937,"297":940,"298":941,"299":943,"301":948,"302":953,"303":958,"304":963,"305":964,"306":965,"307":966,"308":970,"309":974,"310":976,"311":982,"312":984,"313":987,"314":990,"315":992,"317":1001,"318":1005,"319":1007,"320":1009,"321":1010,"322":1015,"323":1017},{"0":18,"1":64,"2":108,"3":112,"4":120,"5":170,"6":171,"7":174,"8":182,"9":185,"10":189,"11":210,"12":212,"13":219,"14":221,"15":222,"16":223,"17":227,"18":229,"19":234,"20":240,"21":242,"22":246,"23":250,"24":255,"25":267,"26":463,"27":468,"28":475,"29":476,"30":478,"31":487,"32":489,"33":493,"34":495,"35":498,"36":499,"37":502,"38":504,"39":512,"40":518,"41":520,"42":521,"43":537,"44":539,"45":544,"46":547,"47":552,"48":561,"50":570,"51":572,"52":577,"53":584,"54":588,"55":591,"57":598,"58":612,"59":622,"60":624,"61":636,"62":638,"63":646,"64":652,"65":653,"66":658,"67":673,"68":674,"69":691,"70":715,"71":720,"72":723,"73":727,"74":740,"75":741,"76":759,"77":764,"78":777,"79":779,"80":781,"81":783,"82":795,"83":796,"84":797,"85":798,"86":801,"87":808,"88":810,"89":814,"90":822,"91":825,"92":831,"93":835,"94":858,"95":865,"96":872,"97":884,"98":886,"99":890,"100":904,"101":906,"102":908,"103":910,"104":913,"106":923,"107":934,"108":936,"109":942,"110":949,"111":951,"112":959,"113":960,"115":969,"116":981,"117":993,"118":997,"119":1011,"120":1012,"121":1013,"122":1018,"123":1020},{"0":238,"1":248,"2":482,"3":484,"4":488,"5":513,"6":526,"7":531,"8":541,"9":555,"10":581,"11":625,"12":655,"13":672,"14":700,"15":730,"16":753,"17":785,"18":791,"19":793,"22":847,"23":901,"24":919,"26":945,"27":967,"28":972,"29":989,"30":1008},{"0":214,"1":216,"2":473,"3":483,"4":500,"5":529,"7":596,"8":605,"9":608,"11":617,"14":677,"15":701,"16":732,"18":768,"19":802,"21":957,"22":962,"23":979},{"0":631,"3":716,"4":737,"9":994},{"0":575,"2":766,"4":838,"7":938},{"0":618,"2":827},{"3":799,"4":812,"5":828},{"10":975},{"4":883},[],[],[]]