[{"0":0,"1":1,"2":2,"4":4,"5":5,"7":7,"9":9,"10":10,"11":11,"13":13,"14":14,"15":15,"16":16,"17":17,"18":18,"19":19,"20":20,"21":22,"22":23,"23":24,"24":25,"26":28,"27":29,"28":30,"29":32,"30":33,"31":34,"32":35,"34":37,"35":38,"36":40,"37":41,"38":42,"39":43,"40":44,"41":45,"42":46,"43":47,"44":48,"45":50,"46":51,"47":53,"48":54,"49":55,"50":56,"51":57,"52":58,"53":59,"54":60,"55":61,"56":62,"57":63,"58":64,"59":65,"60":66,"61":67,"62":68,"63":69,"64":70,"65":71,"66":72,"67":73,"68":74,"69":75,"70":76,"71":77,"72":78,"73":79,"74":80,"75":81,"76":82,"77":83,"78":84,"79":85,"80":86,"81":87,"82":88,"83":90,"84":91,"85":92,"86":93,"87":94,"88":95,"89":96,"90":97,"91":98,"92":99,"93":100,"94":101,"95":102,"96":103,"97":104,"98":105,"99":106,"100":107,"101":108,"102":109,"103":110,"104":111,"105":112,"106":113,"108":115,"109":116,"110":117,"111":118,"112":119,"114":121,"115":122,"118":125,"119":126,"120":127,"121":128,"122":129,"124":131,"125":132,"126":133,"127":134,"128":135,"130":137,"131":138,"132":139,"133":140,"134":141,"135":142,"136":143,"137":144,"138":145,"139":146,"140":147,"141":148,"142":149,"143":150,"144":151,"145":152,"146":153,"147":154,"148":155,"149":156,"150":157,"151":158,"153":161,"154":163,"155":164,"156":165,"157":166,"158":167,"159":168,"160":169,"162":171,"163":172,"164":173,"165":174,"166":175,"167":177,"168":178,"169":179,"170":180,"171":181,"172":182,"173":183,"175":185,"176":186,"177":187,"179":191,"180":192,"181":193,"182":194,"183":195,"184":196,"185":197,"186":198,"187":199,"188":201,"189":203,"190":204,"191":205,"192":206,"193":207,"194":208,"195":209,"196":210,"197":211,"198":212,"199":213,"200":214,"201":215,"202":216,"203":217,"204":218,"205":219,"206":220,"207":221,"208":222,"209":223,"210":224,"211":225,"212":226,"213":227,"214":228,"215":229,"216":230,"217":231,"218":232,"219":233,"220":234,"221":235,"222":236,"223":237,"224":238,"225":239,"226":240,"227":241,"228":242,"229":244,"230":247,"231":248,"232":250,"233":251,"234":252,"235":253,"236":254,"237":255,"238":256,"239":257,"240":259,"241":260,"242":261,"243":262,"244":263,"245":264,"246":265,"247":266,"248":267,"249":268,"250":269,"251":270,"252":272,"253":273,"254":274,"255":276,"256":277,"257":278,"259":280,"261":282,"263":284,"264":285,"265":286,"266":287,"267":288,"268":289,"269":290,"270":291,"272":293,"273":294,"274":295,"275":296,"276":297,"277":298,"278":299,"279":300,"280":301,"281":302,"282":303,"283":304,"284":305,"285":306,"286":307,"287":308,"288":309,"290":311,"291":312,"292":313,"293":314,"294":315,"295":316,"297":318,"298":319,"299":320,"300":321,"301":322,"302":323,"303":324,"304":325,"305":326,"306":327,"307":328,"308":329,"309":330,"310":331,"311":332,"312":333,"313":334,"314":335,"315":336,"316":337,"317":338,"318":339,"319":340,"320":342,"321":344,"322":345,"324":347,"325":348,"326":349,"327":350,"328":351,"329":352,"330":353,"331":354,"332":355,"333":356,"334":357,"335":358,"336":360,"337":361,"338":362,"339":363,"340":364,"341":365,"342":366,"343":367,"344":368,"345":369,"346":370,"347":371,"348":372,"350":374,"351":375,"352":376,"353":378,"354":379,"355":380,"356":381,"357":382,"358":383,"360":385,"361":386,"363":388,"364":389,"365":390,"366":391,"367":392,"368":393,"369":394,"370":395,"371":396,"372":397,"373":398,"374":399,"375":400,"376":401,"377":402,"378":403,"379":404,"380":405,"381":406,"382":408,"383":409,"384":410,"385":411,"386":412,"387":414,"388":415,"389":416,"390":417,"391":418,"392":419,"393":420,"394":421,"395":422,"396":424,"397":425,"399":427,"400":428,"401":429,"402":430,"403":431,"404":432,"405":433,"406":434,"407":435,"408":436,"409":437,"410":438,"411":439,"412":440,"413":441,"415":443,"416":444,"418":446,"419":447,"420":449,"421":450,"422":451,"423":452,"424":453,"425":454,"426":455,"427":456,"428":457,"430":459,"431":460,"432":461,"433":462,"434":463,"435":464,"436":465,"438":467,"439":470,"440":471,"441":472,"442":473,"443":474,"444":476,"445":477,"446":478,"447":479,"448":480,"449":481,"450":482,"451":483,"452":484,"453":485,"454":486,"455":488,"456":489,"457":490,"458":491,"459":492,"460":494,"461":495,"462":498,"463":499,"464":500,"465":501,"466":502,"467":503,"468":504,"469":505,"470":506,"471":507,"472":508,"473":509,"474":510,"475":511,"476":513,"477":514,"478":521,"479":523,"480":528,"481":529,"482":531,"483":537,"484":540,"485":551,"486":552,"487":557,"488":560,"489":564,"490":572,"491":573,"492":574,"493":577,"494":579,"495":583,"496":590,"497":592,"498":593,"499":595,"500":597,"501":598,"502":601,"503":602,"504":604,"505":606,"506":609,"507":616,"508":617,"509":621,"510":622,"511":623,"512":625,"513":627,"514":633,"515":636,"516":637,"517":640,"518":641,"519":644,"520":647,"521":652,"522":654,"523":655,"524":658,"525":659,"526":665,"527":667,"528":672,"529":675,"530":677,"531":681,"532":683,"533":684,"534":686,"535":690,"536":691,"537":694,"538":695,"539":697,"540":699,"541":701,"542":707,"543":711,"544":713,"545":715,"546":718,"547":723,"548":724,"549":725,"550":726,"552":733,"553":734,"554":735,"555":737,"556":742,"557":747,"558":749,"559":753,"560":754,"561":755,"562":756,"563":757,"564":758,"565":762,"566":766,"567":770,"568":773,"569":776,"570":778,"571":779,"572":781,"573":783,"574":784,"575":786,"576":787,"577":790,"578":795,"579":796,"580":797,"581":800,"582":802,"583":804,"584":805,"585":813,"586":814,"587":818,"588":820,"589":821,"590":822,"591":826,"592":833,"593":835,"594":838,"595":839,"596":840,"597":845,"598":847,"599":853,"600":859,"601":860,"602":862,"603":865,"604":867,"605":868,"606":873,"607":876,"608":882,"609":884,"610":887,"611":888,"612":889,"613":890,"614":895,"615":896,"616":897,"617":899,"618":900,"619":902,"620":905,"621":906,"622":907,"623":908,"624":909,"625":910,"626":911,"627":915,"628":918,"630":926,"631":928,"632":931,"633":932,"634":933,"635":934,"636":935,"637":944,"638":948,"639":952,"640":953,"641":955,"642":956,"643":958,"644":966,"645":978,"646":981,"647":990,"648":991,"649":1002,"650":1005,"651":1011,"652":1012,"653":1014,"654":1019,"655":1021},{"0":21,"1":27,"2":31,"3":39,"4":49,"5":52,"6":89,"7":159,"8":162,"9":176,"10":188,"11":190,"12":200,"13":202,"14":243,"15":245,"16":246,"17":249,"18":258,"19":271,"20":275,"21":341,"22":343,"23":359,"24":377,"25":407,"26":413,"27":423,"28":448,"29":468,"30":469,"31":475,"32":487,"33":493,"34":496,"35":497,"36":517,"38":522,"39":524,"40":527,"41":532,"42":533,"43":534,"44":535,"45":538,"46":541,"47":543,"48":544,"49":547,"50":548,"51":549,"52":556,"53":558,"54":562,"55":563,"56":565,"57":566,"58":568,"59":578,"60":580,"61":581,"62":586,"63":587,"64":589,"65":600,"66":603,"67":610,"68":613,"69":614,"70":615,"71":618,"72":620,"73":624,"74":626,"75":629,"76":630,"77":631,"78":635,"79":639,"80":642,"81":643,"82":646,"83":648,"84":656,"85":660,"86":661,"87":663,"88":664,"89":666,"90":668,"91":669,"92":670,"93":671,"94":673,"95":680,"96":687,"97":689,"98":692,"99":698,"100":706,"101":708,"102":710,"103":716,"104":719,"105":728,"106":730,"107":732,"108":739,"109":746,"110":748,"111":750,"112":759,"113":764,"114":765,"115":771,"116":772,"117":777,"118":780,"119":792,"120":794,"121":799,"122":801,"123":803,"124":808,"125":809,"126":810,"127":811,"128":812,"129":817,"130":824,"131":825,"132":827,"133":830,"134":831,"135":836,"136":842,"137":843,"138":844,"139":846,"140":849,"141":851,"142":852,"143":854,"145":857,"146":858,"147":861,"148":864,"149":866,"150":870,"151":874,"152":878,"153":879,"154":881,"155":883,"157":892,"158":894,"159":903,"160":914,"161":916,"162":919,"163":920,"164":923,"165":924,"166":927,"167":929,"168":939,"169":941,"170":943,"171":947,"172":949,"173":950,"174":951,"175":957,"176":959,"177":960,"178":965,"180":970,"181":971,"182":975,"184":979,"185":984,"186":985,"187":988,"188":994,"189":996,"190":997,"191":1000,"192":1001,"193":1003,"194":1007,"195":1013,"196":1017,"197":1020,"198":1022,"199":1023},{"0":515,"1":518,"2":520,"3":539,"4":546,"5":550,"6":553,"7":554,"8":559,"9":567,"11":571,"12":575,"13":582,"14":591,"15":594,"16":607,"17":612,"18":649,"19":679,"20":688,"22":696,"23":702,"25":712,"27":721,"28":722,"29":727,"30":738,"31":745,"32":751,"33":763,"34":767,"35":769,"36":774,"37":775,"38":793,"39":807,"40":815,"41":816,"42":819,"43":828,"44":850,"45":855,"46":863,"47":869,"48":871,"49":875,"50":886,"51":891,"52":898,"53":904,"54":917,"55":925,"56":937,"57":938,"58":945,"59":946,"60":954,"61":961,"62":962,"63":964,"64":967,"65":969,"66":976,"67":982,"68":983,"69":989,"70":993,"72":998,"73":999,"74":1006,"75":1009,"76":1016,"77":1018},{"0":516,"1":525,"2":545,"3":561,"4":588,"5":596,"6":611,"7":628,"8":634,"11":651,"12":657,"13":703,"14":704,"15":714,"16":743,"18":782,"19":785,"20":806,"21":834,"23":848,"24":872,"25":877,"26":880,"27":912,"28":940,"29":942,"30":963,"31":973,"32":992,"33":1004,"34":1008,"35":1010},{"0":512,"1":530,"2":542,"3":599,"4":605,"5":608,"6":619,"7":709,"8":736,"9":744,"10":789,"12":837,"13":901,"14":980,"15":987,"16":1015},{"2":584,"3":585,"4":662,"5":674,"6":678,"7":798},{"0":526,"1":645,"2":685,"4":768,"5":788,"6":829},{"1":752,"3":974},[],[],[],[]]