[{"0":0,"1":1,"2":2,"3":4,"4":5,"6":7,"8":9,"9":11,"10":13,"11":14,"13":16,"14":17,"15":18,"16":19,"17":20,"19":22,"20":24,"21":25,"22":26,"23":27,"24":28,"25":29,"26":30,"27":31,"28":32,"29":35,"30":37,"31":38,"32":39,"33":40,"34":42,"35":43,"40":48,"41":50,"42":51,"43":53,"45":56,"47":58,"49":62,"51":64,"53":67,"54":68,"55":69,"56":70,"57":71,"58":72,"59":76,"60":77,"61":78,"62":79,"63":81,"64":83,"65":84,"66":86,"67":89,"68":90,"69":91,"70":92,"71":93,"72":94,"73":95,"74":96,"75":97,"76":98,"77":99,"78":100,"79":101,"80":102,"82":106,"83":107,"84":108,"85":109,"86":111,"87":112,"89":114,"90":115,"91":116,"92":117,"94":120,"95":121,"96":122,"97":123,"98":124,"99":127,"100":128,"101":130,"102":131,"103":132,"104":133,"105":134,"106":135,"107":136,"108":137,"109":138,"112":141,"113":142,"114":143,"116":145,"117":146,"118":147,"119":149,"122":152,"123":153,"124":154,"125":156,"126":157,"128":159,"129":160,"130":161,"131":162,"132":164,"133":166,"134":167,"135":168,"136":170,"137":171,"138":173,"139":174,"140":175,"141":176,"142":177,"143":180,"145":182,"146":183,"147":184,"148":185,"150":187,"151":188,"152":189,"153":190,"154":191,"155":192,"156":193,"157":194,"158":195,"159":196,"160":197,"161":198,"162":199,"163":200,"165":202,"166":205,"167":207,"168":209,"169":210,"170":211,"171":212,"172":214,"173":215,"174":216,"175":217,"176":220,"178":222,"179":223,"180":225,"181":226,"182":227,"183":228,"184":229,"185":230,"186":231,"187":232,"188":233,"189":234,"190":236,"191":239,"192":240,"193":242,"194":243,"196":258,"197":259,"198":260,"199":261,"200":262,"201":264,"203":266,"204":268,"205":269,"209":275,"210":276,"211":278,"212":280,"213":283,"214":284,"215":285,"216":286,"217":287,"218":288,"220":290,"221":292,"222":293,"223":294,"224":295,"225":296,"226":297,"227":299,"228":300,"229":301,"233":306,"234":310,"235":311,"237":313,"239":315,"241":319,"242":320,"243":322,"244":324,"245":325,"246":326,"247":328,"248":330,"249":331,"250":332,"251":333,"252":335,"253":336,"254":337,"255":338,"256":339,"257":340,"258":342,"259":343,"260":344,"261":346,"262":347,"263":348,"264":349,"265":350,"266":352,"267":354,"268":357,"269":358,"270":359,"271":360,"272":362,"273":363,"274":364,"275":365,"276":366,"278":368,"279":370,"280":371,"281":373,"282":374,"285":378,"286":379,"287":380,"288":381,"289":383,"290":384,"292":386,"293":387,"294":388,"296":390,"298":392,"299":393,"300":394,"301":396,"302":397,"303":398,"304":399,"305":401,"306":402,"307":403,"308":404,"309":405,"310":406,"311":407,"312":408,"313":410,"314":411,"315":412,"316":413,"318":415,"319":416,"320":417,"321":419,"322":420,"323":422,"324":425,"325":426,"326":429,"327":430,"328":432,"329":433,"330":434,"332":436,"333":437,"334":439,"335":440,"336":441,"337":442,"338":444,"339":446,"340":447,"341":448,"342":449,"343":450,"344":452,"345":453,"347":457,"348":458,"349":459,"350":460,"351":461,"353":463,"354":465,"355":466,"356":467,"357":468,"358":469,"359":470,"360":471,"362":473,"364":476,"365":477,"366":478,"367":480,"368":481,"369":482,"370":483,"371":484,"372":488,"373":489,"374":491,"375":493,"376":494,"377":495,"378":496,"379":499,"380":500,"381":512,"382":514,"383":515,"384":526,"385":531,"387":536,"388":537,"389":540,"391":552,"392":555,"393":563,"394":564,"395":577,"396":578,"397":583,"398":590,"400":608,"401":612,"402":613,"403":614,"404":617,"405":621,"406":629,"407":637,"408":638,"409":641,"410":646,"411":649,"412":650,"413":652,"414":654,"415":655,"416":671,"417":676,"418":681,"419":682,"420":684,"421":689,"422":690,"423":692,"424":693,"425":694,"426":696,"427":704,"428":713,"429":714,"430":723,"431":727,"432":730,"433":735,"434":737,"435":738,"436":742,"437":744,"438":747,"439":749,"440":758,"441":759,"442":761,"443":773,"444":776,"445":785,"446":787,"447":789,"448":790,"449":795,"450":796,"451":797,"452":805,"453":816,"454":822,"455":823,"456":824,"457":825,"458":826,"459":840,"460":846,"461":849,"462":850,"463":852,"464":858,"465":870,"466":871,"467":873,"468":877,"469":885,"470":889,"471":890,"472":898,"473":899,"474":902,"475":909,"476":910,"477":913,"478":915,"480":918,"481":922,"482":925,"483":927,"484":937,"485":940,"486":941,"487":945,"488":949,"489":951,"490":956,"491":960,"492":984,"493":994,"494":999,"495":1009,"496":1014,"497":1017},{"0":3,"2":23,"3":33,"4":34,"5":36,"6":41,"7":52,"8":54,"9":60,"10":65,"11":73,"12":74,"13":75,"14":80,"15":82,"16":85,"17":87,"18":88,"19":103,"20":105,"21":110,"22":118,"23":125,"24":126,"25":129,"26":148,"27":163,"28":165,"29":169,"30":172,"31":178,"32":179,"33":203,"34":204,"35":206,"36":213,"37":218,"38":219,"39":224,"40":235,"41":237,"42":238,"43":241,"45":246,"46":248,"47":249,"49":253,"50":255,"51":257,"52":263,"53":267,"54":271,"55":277,"56":279,"57":281,"58":282,"59":291,"60":298,"61":304,"62":307,"63":309,"64":317,"65":318,"66":321,"67":323,"68":327,"69":329,"70":334,"71":341,"72":351,"73":353,"74":355,"75":356,"76":361,"77":369,"78":377,"79":382,"80":395,"81":400,"82":409,"83":418,"85":423,"86":424,"87":427,"88":428,"89":431,"90":438,"91":443,"92":445,"93":451,"94":454,"95":456,"96":464,"97":475,"98":479,"99":485,"100":486,"101":487,"102":490,"103":492,"104":497,"105":498,"106":501,"107":503,"108":504,"109":505,"111":508,"112":510,"113":511,"114":517,"115":518,"117":530,"118":533,"119":535,"120":539,"122":544,"123":557,"124":558,"125":559,"126":560,"127":565,"128":566,"129":567,"130":568,"131":569,"132":570,"133":576,"134":579,"135":580,"136":581,"137":585,"138":587,"139":588,"140":589,"141":591,"142":602,"143":603,"144":604,"145":606,"146":610,"147":616,"148":618,"149":619,"150":623,"151":624,"152":630,"153":632,"154":639,"155":643,"156":644,"157":656,"158":659,"159":660,"160":661,"161":664,"162":666,"163":673,"164":675,"165":677,"166":680,"167":685,"168":686,"171":706,"172":707,"173":709,"174":710,"175":717,"176":726,"177":729,"178":732,"179":734,"180":741,"181":745,"182":750,"183":754,"184":757,"185":760,"186":762,"187":765,"188":767,"189":771,"190":774,"191":778,"192":780,"193":781,"194":783,"195":784,"196":791,"197":792,"198":799,"199":800,"200":802,"201":807,"202":811,"203":813,"204":814,"205":818,"206":821,"207":829,"208":830,"209":834,"210":842,"211":845,"212":853,"213":860,"214":861,"215":863,"216":865,"217":867,"218":868,"219":872,"220":874,"221":882,"222":884,"223":887,"224":888,"225":895,"226":900,"227":901,"228":903,"229":905,"230":919,"231":923,"232":928,"233":929,"234":930,"235":931,"237":936,"238":938,"239":939,"240":946,"241":948,"242":950,"243":954,"244":955,"245":957,"246":961,"247":968,"248":970,"249":973,"250":974,"251":978,"252":982,"253":985,"254":987,"255":989,"256":990,"257":992,"259":996,"260":997,"261":1001,"262":1002,"263":1003,"264":1004,"265":1011,"266":1015,"267":1018,"268":1022},{"0":12,"1":49,"2":59,"3":155,"4":208,"5":244,"6":247,"7":250,"8":251,"9":254,"10":274,"11":308,"12":345,"13":372,"14":502,"15":507,"16":509,"17":513,"18":519,"19":524,"20":525,"21":529,"22":538,"23":547,"24":548,"25":553,"26":574,"27":582,"28":584,"30":596,"31":597,"32":600,"33":620,"34":625,"35":628,"36":635,"37":642,"38":657,"39":663,"40":665,"41":667,"42":670,"43":672,"44":674,"45":683,"46":687,"47":691,"48":695,"49":697,"50":701,"51":702,"53":719,"54":721,"55":724,"56":725,"57":739,"58":755,"59":756,"60":763,"61":768,"62":769,"63":772,"64":775,"65":788,"66":794,"67":806,"68":808,"69":812,"70":817,"71":819,"72":820,"73":827,"75":831,"76":833,"77":837,"80":843,"81":847,"82":854,"83":864,"84":875,"85":876,"86":879,"87":881,"88":892,"89":894,"90":906,"91":907,"93":911,"94":912,"95":914,"97":920,"98":924,"99":943,"100":944,"101":947,"102":958,"103":959,"104":963,"105":964,"106":967,"107":971,"108":980,"109":983,"110":988,"111":991,"112":1005,"113":1008,"114":1012,"115":1020},{"0":522,"1":527,"2":528,"3":545,"4":551,"5":556,"7":575,"8":594,"9":595,"10":601,"11":609,"12":615,"13":626,"15":631,"16":634,"17":640,"18":647,"19":708,"21":712,"22":715,"23":720,"24":722,"25":736,"26":740,"28":777,"29":779,"30":786,"31":801,"32":809,"33":810,"34":836,"35":844,"37":869,"38":886,"39":891,"40":893,"41":904,"42":926,"43":933,"44":953,"45":965,"47":998,"48":1000,"49":1016,"50":1021},{"0":516,"1":521,"3":550,"4":561,"5":599,"6":607,"7":645,"8":678,"9":728,"10":733,"11":751,"12":752,"13":753,"14":770,"15":793,"16":832,"18":859,"19":862,"20":866,"21":880,"23":934,"24":942,"25":962,"26":969,"27":977},{"0":554,"1":572,"5":662,"7":669,"8":679,"11":979,"12":986},{"3":636,"4":651,"9":815},{"7":764},[],[],[],[]]