[{"0":0,"1":1,"2":2,"3":4,"4":5,"5":6,"6":7,"7":8,"8":9,"9":10,"10":11,"11":12,"12":14,"13":16,"14":17,"15":18,"16":19,"17":20,"18":21,"19":22,"20":23,"21":24,"22":26,"23":27,"24":28,"25":29,"26":30,"27":31,"28":32,"29":33,"30":34,"32":36,"33":38,"34":40,"35":41,"36":42,"37":43,"38":44,"39":45,"40":46,"41":47,"42":48,"43":50,"44":51,"45":53,"46":54,"47":56,"48":58,"49":59,"51":61,"52":62,"53":63,"54":64,"55":65,"56":66,"57":67,"58":68,"59":69,"60":70,"61":71,"62":72,"63":73,"64":74,"65":75,"67":77,"68":78,"69":79,"70":80,"71":81,"72":82,"73":83,"74":85,"76":87,"77":89,"78":90,"79":91,"80":92,"81":93,"82":94,"83":95,"84":96,"85":97,"86":98,"87":99,"88":102,"89":103,"90":104,"91":105,"92":106,"93":107,"94":109,"95":110,"96":111,"97":114,"98":115,"99":116,"100":117,"101":118,"102":119,"103":120,"104":121,"105":122,"106":123,"107":124,"108":125,"109":126,"110":128,"111":130,"112":132,"113":133,"114":134,"115":135,"116":136,"117":138,"118":139,"119":141,"120":142,"121":143,"122":144,"123":145,"124":146,"125":147,"126":148,"127":149,"128":150,"129":151,"130":152,"131":153,"132":157,"133":158,"134":159,"135":160,"136":161,"137":162,"138":163,"139":164,"140":165,"141":166,"142":167,"144":169,"145":170,"146":171,"147":172,"148":173,"149":174,"150":175,"151":176,"152":178,"153":179,"154":180,"155":181,"156":182,"157":183,"158":184,"159":185,"160":186,"161":187,"162":188,"163":189,"164":190,"165":191,"166":192,"167":193,"168":194,"169":195,"170":196,"171":197,"172":198,"173":199,"174":200,"175":201,"176":202,"177":203,"178":204,"179":205,"180":206,"181":207,"182":208,"183":209,"184":210,"185":213,"186":214,"187":215,"188":216,"189":218,"190":219,"191":220,"192":221,"193":222,"194":223,"195":225,"196":226,"197":228,"198":229,"199":230,"200":231,"201":232,"202":233,"203":234,"204":235,"205":236,"206":237,"207":238,"208":239,"209":241,"210":242,"211":243,"212":244,"213":245,"214":246,"215":248,"216":249,"217":250,"218":251,"219":252,"220":253,"221":254,"222":255,"223":256,"224":257,"225":258,"226":259,"227":260,"228":261,"229":262,"230":263,"231":264,"232":266,"234":268,"235":269,"236":270,"239":274,"240":275,"241":276,"242":277,"243":278,"244":279,"245":280,"246":281,"247":282,"248":283,"249":284,"250":285,"251":286,"252":287,"253":288,"254":289,"255":291,"256":292,"257":293,"258":294,"259":295,"260":296,"261":297,"262":298,"263":299,"264":300,"265":301,"266":302,"267":304,"268":306,"269":308,"270":309,"271":310,"272":311,"273":312,"274":313,"275":314,"276":315,"277":316,"278":317,"279":318,"280":319,"281":321,"282":322,"283":323,"284":324,"285":325,"286":326,"287":327,"288":330,"289":331,"290":332,"291":333,"292":334,"293":335,"294":337,"295":338,"296":339,"297":340,"298":341,"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":360,"318":361,"319":362,"320":363,"321":364,"322":365,"323":366,"324":367,"325":368,"326":369,"327":370,"328":371,"329":372,"330":373,"331":374,"332":375,"333":376,"334":377,"335":378,"336":379,"337":380,"338":381,"339":382,"342":385,"343":386,"344":387,"345":388,"346":389,"347":390,"348":391,"350":394,"351":395,"352":397,"353":398,"354":399,"355":400,"356":401,"357":402,"358":403,"359":404,"360":405,"361":407,"362":409,"363":410,"364":411,"365":412,"366":413,"367":414,"368":415,"369":416,"370":417,"371":418,"372":419,"373":420,"374":421,"375":422,"376":423,"377":424,"378":425,"379":426,"380":427,"381":428,"382":429,"383":430,"385":432,"386":434,"387":435,"388":436,"389":437,"390":438,"391":439,"392":440,"393":441,"394":442,"395":443,"396":444,"398":446,"399":447,"400":449,"401":450,"402":451,"403":452,"404":453,"405":454,"406":455,"407":456,"408":457,"409":458,"410":459,"411":461,"412":462,"413":463,"414":464,"415":465,"416":466,"417":467,"418":468,"419":469,"420":470,"421":472,"422":473,"423":474,"424":475,"425":476,"426":477,"427":478,"428":479,"429":480,"430":482,"431":483,"432":485,"433":486,"434":487,"435":488,"436":489,"437":490,"438":491,"439":492,"440":493,"441":494,"442":496,"443":497,"444":498,"445":499,"446":500,"447":501,"448":503,"449":504,"450":506,"451":508,"452":509,"453":510,"454":511,"455":512,"456":513,"457":517,"458":518,"459":519,"460":520,"461":526,"462":528,"463":530,"464":531,"465":532,"466":533,"467":536,"468":538,"469":545,"470":546,"471":548,"472":551,"473":553,"474":554,"475":555,"476":557,"477":558,"478":559,"479":561,"480":562,"481":565,"482":566,"483":569,"484":571,"485":574,"486":576,"487":577,"488":578,"489":581,"490":583,"491":586,"492":587,"493":588,"494":590,"495":591,"496":593,"497":595,"498":596,"499":598,"500":600,"501":603,"502":604,"503":605,"504":606,"505":607,"506":608,"507":610,"508":611,"509":614,"510":619,"511":622,"512":627,"513":628,"514":629,"515":630,"516":632,"517":633,"518":634,"519":638,"520":639,"521":640,"522":642,"523":644,"524":646,"525":647,"526":650,"527":651,"528":652,"529":654,"530":655,"531":656,"532":657,"533":658,"534":664,"535":666,"536":667,"537":669,"538":672,"539":675,"540":676,"541":677,"542":682,"543":683,"544":685,"545":688,"546":690,"547":691,"548":694,"549":696,"550":698,"551":700,"552":704,"553":705,"554":706,"555":707,"556":710,"557":711,"558":712,"559":713,"560":714,"561":716,"562":719,"563":722,"564":724,"565":725,"566":727,"567":730,"568":731,"569":735,"570":736,"571":737,"572":739,"573":742,"574":744,"575":747,"576":752,"577":754,"578":757,"579":763,"580":764,"581":768,"582":771,"583":779,"584":780,"585":782,"586":783,"587":784,"588":785,"589":786,"590":788,"591":795,"592":797,"593":799,"594":802,"595":803,"596":805,"597":807,"598":813,"599":816,"600":819,"601":820,"602":824,"603":825,"604":827,"605":829,"606":831,"607":832,"608":834,"609":836,"610":839,"611":840,"612":841,"613":842,"614":843,"615":845,"616":847,"617":848,"618":850,"619":851,"620":856,"621":860,"622":863,"623":864,"624":867,"625":868,"626":872,"627":873,"628":875,"629":876,"630":877,"631":879,"632":882,"633":884,"634":885,"635":887,"636":888,"637":895,"638":896,"639":897,"640":898,"641":899,"642":901,"643":905,"644":906,"645":909,"646":910,"647":912,"648":913,"649":915,"650":916,"651":918,"652":919,"653":920,"654":921,"655":922,"656":923,"657":924,"658":926,"659":927,"660":928,"661":932,"662":935,"663":937,"664":939,"665":942,"666":949,"667":951,"668":952,"669":953,"670":954,"671":959,"672":961,"673":966,"674":968,"675":972,"676":975,"677":977,"678":980,"679":984,"680":985,"681":987,"682":988,"683":989,"684":991,"685":992,"686":995,"687":999,"688":1006,"689":1007,"690":1009,"691":1011,"692":1013,"693":1015,"694":1017,"695":1019,"696":1023},{"0":3,"1":13,"2":15,"3":25,"4":37,"5":39,"6":49,"7":55,"8":57,"9":84,"10":88,"11":100,"12":101,"13":108,"14":112,"15":113,"16":127,"17":129,"18":131,"19":137,"20":140,"21":154,"22":155,"23":156,"24":177,"25":212,"26":217,"27":224,"28":227,"29":240,"30":247,"31":265,"32":271,"33":290,"34":303,"35":305,"36":307,"37":320,"38":328,"39":329,"40":336,"41":396,"42":406,"43":408,"44":433,"45":448,"46":460,"47":471,"48":481,"49":495,"50":502,"51":505,"52":507,"53":514,"54":515,"55":516,"56":523,"57":524,"58":525,"59":527,"60":529,"61":535,"62":540,"63":541,"64":542,"65":547,"66":552,"67":560,"68":564,"69":568,"70":570,"71":572,"72":573,"73":575,"74":580,"75":584,"76":585,"77":589,"78":592,"79":597,"80":599,"81":601,"82":602,"83":612,"84":613,"85":617,"86":618,"87":620,"88":623,"89":625,"90":626,"91":631,"92":635,"93":637,"94":641,"95":643,"96":645,"97":648,"98":653,"99":661,"100":663,"101":668,"102":670,"103":673,"104":674,"105":679,"106":680,"107":681,"108":689,"109":692,"110":693,"111":695,"112":699,"113":702,"114":703,"115":708,"116":709,"117":718,"118":720,"119":721,"120":723,"121":726,"122":729,"123":732,"124":733,"125":741,"126":743,"127":745,"128":746,"129":748,"130":749,"131":750,"132":751,"133":753,"134":755,"135":756,"136":758,"137":759,"138":760,"139":761,"140":762,"141":765,"143":769,"144":770,"145":772,"146":773,"147":778,"148":781,"149":787,"150":790,"151":791,"152":792,"153":793,"154":794,"155":798,"156":800,"157":801,"158":804,"159":806,"160":810,"161":811,"162":812,"163":814,"164":815,"165":817,"166":818,"167":821,"168":826,"169":838,"170":844,"171":846,"172":849,"173":852,"174":853,"175":854,"176":855,"177":857,"178":858,"179":859,"180":861,"181":865,"182":866,"183":869,"184":870,"185":874,"186":878,"187":880,"188":881,"189":883,"190":889,"191":890,"192":891,"193":892,"194":893,"195":894,"196":900,"197":902,"198":904,"199":908,"200":911,"201":914,"202":925,"203":929,"204":930,"205":931,"206":934,"207":938,"208":940,"209":943,"210":946,"211":947,"212":948,"213":950,"214":955,"215":957,"216":958,"217":960,"218":962,"219":963,"220":964,"221":965,"222":967,"223":970,"224":971,"225":973,"226":974,"227":976,"228":978,"229":979,"230":981,"231":982,"232":983,"233":990,"234":993,"235":994,"236":996,"237":997,"238":998,"239":1000,"240":1001,"241":1002,"242":1003,"243":1005,"244":1008,"245":1010,"246":1016,"247":1018,"248":1020,"249":1022},{"0":52,"1":211,"2":393,"3":484,"4":537,"5":539,"6":543,"8":550,"9":556,"10":567,"11":579,"12":594,"13":609,"14":615,"16":621,"17":624,"18":636,"19":649,"20":659,"21":660,"22":686,"23":687,"24":697,"25":701,"26":715,"27":728,"28":734,"29":740,"30":767,"31":774,"32":776,"33":777,"34":789,"35":808,"36":809,"37":822,"38":823,"39":828,"41":833,"42":835,"43":871,"45":907,"46":917,"47":936,"48":941,"51":956,"52":969,"53":1012,"54":1014,"55":1021},{"0":521,"2":549,"5":671,"7":684,"8":738,"9":796,"10":837,"11":903},[],[],[]]