[{"0":0,"1":1,"2":2,"3":3,"4":4,"5":5,"6":7,"7":8,"9":13,"10":14,"11":15,"12":16,"13":17,"14":18,"15":19,"16":20,"18":22,"19":23,"20":24,"22":26,"23":27,"24":30,"25":31,"26":32,"27":33,"28":34,"29":35,"30":36,"31":37,"32":39,"33":40,"34":41,"35":42,"36":43,"37":44,"38":45,"39":47,"40":48,"41":50,"43":53,"44":54,"45":55,"46":56,"47":57,"48":58,"49":59,"50":60,"51":61,"52":62,"53":63,"54":65,"55":66,"56":67,"57":68,"58":69,"59":70,"60":71,"61":72,"62":73,"63":74,"64":76,"65":77,"66":78,"67":79,"68":80,"69":81,"70":82,"71":83,"72":84,"73":85,"74":86,"75":87,"76":88,"77":89,"78":90,"79":91,"80":92,"81":93,"82":94,"83":95,"84":96,"85":97,"86":98,"87":99,"88":101,"89":103,"90":104,"91":105,"93":107,"94":108,"95":109,"96":112,"97":113,"98":114,"99":115,"100":116,"101":117,"102":118,"104":120,"105":122,"107":124,"108":125,"109":126,"110":127,"111":128,"112":129,"114":132,"115":133,"116":134,"117":135,"118":136,"119":137,"120":138,"121":139,"122":140,"123":141,"124":142,"125":143,"126":144,"127":145,"128":146,"129":147,"130":148,"131":150,"132":151,"133":152,"134":154,"135":155,"136":157,"137":158,"138":159,"139":160,"140":161,"141":162,"142":164,"143":165,"144":166,"145":167,"146":168,"147":169,"148":170,"149":171,"150":172,"151":173,"152":174,"153":175,"154":176,"155":177,"156":178,"157":179,"158":181,"159":182,"160":183,"162":185,"163":186,"164":188,"165":189,"166":190,"167":191,"168":193,"169":194,"170":195,"171":196,"172":197,"174":199,"175":200,"176":201,"177":202,"178":204,"179":205,"180":206,"181":207,"182":208,"183":210,"184":211,"185":212,"186":213,"187":214,"188":216,"189":219,"190":220,"191":221,"192":222,"193":224,"194":225,"195":226,"196":228,"197":229,"198":230,"199":231,"200":232,"201":233,"202":234,"203":235,"204":236,"205":237,"206":238,"207":239,"208":240,"209":241,"210":242,"211":243,"212":244,"213":245,"214":246,"215":247,"216":248,"217":249,"218":250,"219":252,"220":253,"221":254,"222":255,"223":256,"224":257,"225":258,"226":259,"227":260,"228":261,"229":262,"230":264,"231":265,"232":267,"233":268,"234":269,"235":270,"236":271,"237":272,"238":273,"239":274,"240":275,"241":278,"242":279,"243":280,"244":282,"245":284,"246":285,"247":286,"248":287,"249":288,"250":289,"251":290,"252":291,"253":292,"254":293,"255":294,"257":296,"258":297,"259":298,"260":299,"261":300,"262":301,"263":302,"264":303,"265":304,"266":305,"267":306,"269":308,"270":309,"271":310,"272":311,"273":312,"274":313,"275":314,"276":315,"277":316,"279":319,"280":320,"281":321,"282":322,"283":323,"284":324,"285":325,"286":326,"287":327,"288":328,"289":329,"290":330,"291":331,"292":332,"293":333,"294":334,"295":335,"296":338,"297":339,"298":340,"299":342,"300":343,"301":344,"302":345,"303":346,"304":347,"305":348,"306":349,"307":350,"308":351,"309":352,"310":353,"311":354,"312":355,"313":356,"314":357,"315":358,"316":359,"317":361,"318":362,"319":364,"320":365,"322":367,"323":368,"324":369,"325":370,"326":371,"327":372,"328":374,"329":375,"330":376,"331":377,"332":378,"333":379,"334":380,"335":382,"336":383,"337":384,"338":385,"339":387,"340":388,"341":389,"342":390,"343":391,"344":392,"345":393,"346":394,"347":395,"348":396,"349":397,"350":398,"351":399,"352":401,"353":402,"354":403,"355":404,"356":405,"357":407,"358":408,"359":409,"360":410,"361":411,"362":412,"363":414,"364":415,"365":416,"366":418,"367":419,"368":420,"369":422,"370":424,"371":425,"372":426,"373":427,"374":429,"375":430,"376":431,"377":433,"378":434,"379":435,"380":436,"381":437,"382":438,"383":439,"384":440,"385":441,"386":442,"387":444,"388":445,"389":446,"390":447,"391":448,"392":449,"393":450,"394":451,"395":452,"396":453,"397":455,"398":456,"399":457,"400":458,"401":459,"402":460,"403":461,"404":462,"405":463,"406":464,"407":465,"408":467,"409":468,"410":469,"411":470,"412":471,"413":472,"414":474,"415":475,"416":476,"417":477,"418":478,"419":479,"420":480,"421":481,"422":482,"423":483,"424":484,"425":485,"426":486,"427":487,"428":488,"429":489,"430":490,"431":491,"432":492,"433":493,"434":494,"435":495,"436":496,"437":497,"438":498,"439":499,"440":500,"441":501,"442":502,"443":503,"444":504,"445":505,"446":506,"447":507,"448":508,"449":509,"450":510,"451":511,"452":514,"453":518,"454":524,"455":525,"456":530,"457":532,"458":533,"459":538,"460":541,"461":545,"462":547,"463":548,"464":550,"465":554,"466":572,"467":574,"468":577,"469":578,"470":580,"471":594,"472":597,"473":598,"474":599,"475":600,"476":601,"477":602,"478":605,"479":606,"480":618,"481":619,"482":628,"483":632,"484":636,"485":638,"486":650,"487":655,"488":664,"489":665,"490":666,"491":668,"492":669,"493":671,"494":672,"495":675,"496":679,"497":682,"498":683,"499":685,"500":688,"501":689,"502":690,"503":695,"504":699,"505":700,"506":701,"507":704,"508":706,"509":710,"510":713,"511":717,"512":719,"513":724,"514":732,"515":742,"516":745,"517":749,"518":752,"519":753,"520":756,"521":763,"522":764,"523":767,"524":768,"525":769,"526":771,"527":773,"528":775,"529":777,"530":778,"531":779,"532":780,"533":785,"534":788,"535":790,"536":803,"537":810,"538":811,"539":817,"540":819,"541":821,"542":823,"543":830,"544":831,"545":834,"546":835,"547":839,"548":843,"549":845,"550":846,"551":850,"552":852,"553":856,"554":857,"555":862,"556":871,"557":875,"558":876,"559":884,"560":890,"561":891,"562":892,"563":894,"564":895,"565":900,"566":902,"567":903,"568":911,"569":917,"570":919,"571":922,"572":923,"573":928,"574":930,"575":933,"576":934,"577":944,"578":947,"579":948,"580":959,"581":962,"582":968,"583":969,"584":970,"585":973,"586":976,"587":977,"588":978,"589":983,"590":984,"591":985,"592":986,"593":990,"594":992,"595":995,"596":996,"597":997,"598":999,"599":1004,"600":1006,"601":1014,"602":1017,"603":1018},{"0":6,"1":9,"2":10,"3":12,"4":28,"5":29,"6":38,"7":46,"8":51,"9":64,"10":75,"11":102,"12":110,"13":111,"14":121,"15":130,"16":149,"17":153,"18":156,"19":163,"20":180,"21":187,"22":203,"23":209,"24":215,"25":217,"26":218,"27":227,"28":251,"29":263,"30":276,"31":277,"32":281,"33":283,"34":318,"35":336,"36":337,"37":360,"38":363,"39":373,"40":381,"41":386,"42":400,"43":406,"44":417,"45":421,"46":423,"47":428,"48":432,"49":443,"50":466,"51":473,"52":513,"53":515,"54":516,"55":519,"56":534,"57":535,"58":536,"59":537,"60":543,"61":544,"62":549,"63":555,"64":556,"65":558,"66":562,"67":563,"68":565,"69":570,"70":573,"71":575,"72":581,"73":582,"74":585,"75":586,"76":589,"77":592,"78":596,"79":603,"80":607,"81":613,"82":615,"83":616,"84":620,"85":622,"86":624,"87":625,"88":626,"89":633,"90":635,"91":640,"92":641,"93":643,"94":644,"95":645,"96":648,"97":651,"98":657,"99":660,"100":663,"101":673,"102":677,"103":681,"104":692,"105":693,"106":694,"107":696,"108":697,"109":698,"110":707,"111":715,"112":722,"113":727,"114":728,"115":729,"116":730,"117":731,"118":736,"119":737,"120":738,"121":740,"122":743,"123":747,"124":748,"125":751,"126":757,"127":760,"128":766,"129":776,"130":784,"131":786,"132":791,"133":792,"134":793,"135":796,"136":799,"137":800,"138":801,"139":804,"140":807,"141":808,"142":812,"143":815,"144":816,"145":820,"146":822,"147":824,"148":826,"149":828,"150":840,"151":849,"152":851,"153":858,"154":861,"155":866,"156":867,"157":869,"158":870,"159":872,"160":873,"161":877,"162":878,"163":883,"164":886,"165":887,"166":889,"167":897,"169":901,"170":909,"171":910,"172":914,"173":924,"174":926,"175":931,"176":935,"177":936,"178":939,"179":940,"180":941,"181":946,"182":949,"183":950,"184":951,"185":952,"186":953,"187":954,"188":956,"189":957,"190":963,"191":964,"192":966,"194":975,"195":979,"196":988,"197":989,"198":1002,"199":1003,"200":1005,"201":1009,"202":1012,"203":1013,"204":1021},{"0":49,"1":100,"2":192,"3":223,"4":266,"5":341,"6":413,"7":454,"8":517,"9":529,"10":540,"11":542,"12":557,"13":561,"14":564,"15":583,"16":584,"17":591,"19":610,"20":611,"21":621,"22":623,"23":629,"24":630,"25":634,"26":639,"27":642,"28":649,"29":653,"30":654,"31":656,"32":659,"33":661,"34":674,"35":676,"36":684,"37":686,"38":687,"39":691,"40":702,"41":708,"42":712,"43":718,"44":720,"45":734,"46":739,"47":741,"48":744,"49":746,"50":758,"51":759,"52":762,"53":765,"54":770,"55":772,"56":781,"57":782,"58":787,"59":789,"60":805,"61":806,"62":809,"63":814,"64":818,"65":827,"66":833,"67":837,"68":838,"70":847,"71":848,"72":853,"73":855,"74":860,"75":863,"76":881,"77":882,"78":888,"79":893,"80":896,"81":898,"82":908,"83":912,"84":915,"85":918,"86":925,"87":927,"88":938,"89":943,"90":945,"91":967,"92":971,"94":987,"95":991,"96":998,"97":1016,"98":1020,"99":1022,"100":1023},{"0":521,"1":522,"2":528,"3":539,"4":551,"5":552,"6":553,"7":559,"8":560,"9":567,"10":568,"11":569,"12":571,"13":587,"14":588,"15":590,"16":609,"17":614,"18":646,"19":647,"21":670,"22":678,"23":680,"25":705,"26":711,"27":721,"28":733,"29":750,"30":754,"31":761,"32":794,"33":798,"34":802,"35":842,"37":854,"38":859,"39":864,"40":865,"41":874,"42":879,"43":880,"44":904,"45":920,"46":937,"47":958,"48":972,"49":982,"50":993,"51":994,"52":1007,"53":1011,"54":1015},{"0":520,"1":523,"2":566,"3":576,"4":593,"6":612,"7":631,"8":637,"9":709,"10":714,"11":725,"12":755,"13":795,"14":797,"15":813,"16":829,"18":836,"19":868,"20":885,"23":929,"25":965,"26":980,"27":1008,"28":1010,"29":1019},{"0":512,"5":662,"7":716,"8":783,"9":905,"10":907,"12":955},{"2":723,"3":906},[],[],[]]