[{"0":0,"1":2,"2":4,"3":5,"4":6,"5":7,"6":8,"7":9,"8":11,"9":12,"10":13,"11":14,"12":16,"13":17,"14":18,"15":19,"16":20,"17":21,"18":22,"19":23,"20":24,"21":25,"22":26,"23":28,"24":29,"25":30,"26":31,"27":32,"28":34,"30":36,"31":37,"32":38,"33":39,"34":40,"35":41,"36":42,"37":43,"38":44,"39":45,"40":46,"41":47,"42":48,"43":49,"44":50,"45":51,"46":52,"47":53,"49":55,"50":56,"51":57,"52":58,"53":59,"54":60,"55":61,"57":64,"58":65,"59":66,"60":67,"61":68,"62":69,"63":70,"64":71,"65":73,"66":74,"67":75,"68":76,"69":77,"70":79,"72":81,"73":82,"74":83,"75":85,"76":86,"77":87,"80":90,"81":92,"82":93,"83":94,"84":95,"85":96,"86":99,"87":100,"88":101,"89":103,"90":104,"91":105,"92":106,"93":107,"94":109,"95":111,"96":112,"97":113,"98":114,"99":115,"100":116,"101":118,"102":119,"103":120,"104":121,"105":122,"106":123,"107":125,"108":126,"109":127,"110":128,"111":129,"112":130,"113":131,"114":132,"115":133,"116":134,"117":135,"118":136,"119":138,"120":139,"121":140,"122":141,"123":142,"124":143,"125":144,"126":145,"127":146,"128":147,"129":148,"130":149,"131":150,"132":151,"133":152,"134":153,"135":154,"136":155,"137":156,"138":157,"139":158,"140":159,"141":160,"142":161,"143":163,"144":164,"145":165,"146":166,"147":167,"148":169,"149":170,"150":171,"151":172,"152":173,"153":174,"154":175,"155":176,"156":177,"157":178,"158":179,"159":180,"160":181,"161":182,"163":184,"164":185,"165":186,"166":187,"167":188,"168":190,"169":191,"170":192,"171":193,"172":194,"173":195,"174":197,"175":198,"176":199,"177":200,"178":201,"179":202,"180":203,"181":204,"182":206,"183":207,"184":208,"185":209,"186":210,"187":211,"188":212,"189":213,"190":214,"191":215,"192":216,"193":217,"194":218,"195":220,"196":221,"197":223,"198":224,"199":226,"200":227,"201":228,"202":229,"203":230,"204":231,"205":232,"206":233,"207":234,"208":235,"209":236,"210":237,"211":238,"212":239,"213":240,"214":241,"215":242,"216":243,"217":244,"218":246,"219":247,"220":248,"221":249,"222":250,"223":251,"224":252,"225":253,"226":254,"227":255,"228":256,"229":257,"230":258,"231":259,"232":260,"233":261,"234":262,"235":264,"236":265,"237":266,"238":267,"239":268,"240":269,"241":270,"242":271,"243":272,"244":273,"245":274,"246":275,"247":276,"248":277,"249":278,"250":279,"251":280,"252":281,"253":282,"254":283,"255":284,"256":285,"257":286,"258":287,"260":289,"261":290,"262":291,"263":292,"264":293,"265":294,"266":296,"267":297,"269":299,"270":300,"271":301,"272":302,"273":303,"274":304,"275":305,"276":306,"277":307,"278":308,"279":309,"280":310,"281":311,"282":312,"283":313,"284":314,"285":315,"286":316,"287":317,"288":319,"289":320,"290":321,"291":322,"292":323,"293":324,"294":325,"295":326,"296":327,"298":329,"299":330,"300":331,"301":332,"302":333,"303":334,"304":335,"305":336,"306":337,"307":338,"308":339,"309":340,"310":341,"311":342,"312":343,"313":344,"314":345,"315":346,"316":347,"317":348,"318":349,"319":350,"320":351,"321":352,"322":353,"323":355,"324":356,"325":357,"326":358,"328":361,"329":363,"330":364,"331":365,"332":366,"333":367,"334":368,"335":369,"336":370,"337":371,"338":373,"339":374,"340":375,"341":376,"342":377,"343":378,"344":379,"345":380,"346":381,"347":383,"348":384,"349":385,"350":386,"351":387,"352":389,"353":390,"354":391,"355":392,"356":393,"357":394,"358":395,"359":396,"360":397,"361":398,"362":399,"363":400,"364":401,"365":402,"366":403,"367":404,"368":405,"369":406,"370":407,"371":408,"373":410,"374":412,"375":413,"376":415,"377":416,"379":418,"380":419,"381":420,"382":421,"383":422,"384":423,"385":424,"386":425,"387":426,"388":427,"389":428,"390":429,"391":430,"392":431,"393":432,"394":433,"395":434,"396":435,"397":436,"398":437,"399":438,"400":439,"401":440,"402":441,"403":442,"404":443,"405":444,"406":445,"407":446,"408":447,"410":449,"411":450,"412":451,"413":452,"414":453,"415":454,"416":456,"417":457,"418":458,"419":459,"420":460,"421":461,"422":462,"423":463,"424":464,"425":465,"426":466,"427":467,"428":468,"429":469,"430":470,"431":471,"432":472,"433":473,"435":476,"436":477,"437":478,"438":479,"439":480,"440":481,"441":482,"442":483,"443":485,"444":486,"445":487,"446":488,"447":490,"448":491,"449":492,"450":493,"451":494,"452":495,"453":496,"454":497,"455":498,"456":499,"457":501,"458":503,"459":504,"460":505,"461":508,"462":509,"463":510,"464":511,"465":512,"466":513,"467":514,"468":516,"469":517,"470":518,"471":519,"472":520,"473":521,"474":522,"475":524,"476":525,"477":526,"478":528,"479":530,"480":531,"481":534,"482":537,"483":539,"484":540,"485":544,"486":546,"487":548,"488":551,"489":557,"490":558,"491":559,"492":560,"493":561,"494":564,"495":566,"496":568,"497":572,"498":573,"499":575,"500":578,"501":579,"502":580,"503":581,"504":583,"505":584,"506":589,"507":591,"508":592,"509":594,"510":596,"511":599,"512":600,"513":601,"514":603,"515":609,"516":610,"517":615,"518":617,"519":622,"520":623,"521":624,"522":625,"523":628,"524":630,"525":639,"526":643,"527":646,"528":649,"529":654,"530":660,"531":661,"532":663,"533":664,"534":670,"535":671,"536":672,"537":680,"538":682,"539":683,"540":684,"541":687,"542":688,"543":689,"544":691,"545":692,"546":695,"547":697,"548":698,"549":700,"550":702,"551":703,"552":704,"553":705,"554":706,"555":707,"556":712,"557":715,"558":718,"559":719,"560":720,"561":721,"562":722,"563":723,"564":727,"565":728,"566":733,"567":735,"568":736,"569":738,"570":741,"571":742,"572":743,"573":744,"574":745,"575":748,"576":749,"577":752,"578":753,"579":760,"580":763,"581":766,"582":768,"583":771,"584":774,"585":779,"586":780,"587":781,"588":783,"589":784,"590":785,"591":787,"592":789,"593":790,"594":791,"595":792,"596":798,"597":800,"598":803,"599":811,"600":813,"601":814,"602":817,"603":819,"604":828,"605":831,"606":833,"607":837,"608":838,"609":839,"610":840,"611":842,"612":845,"613":846,"614":848,"615":852,"616":853,"617":858,"618":859,"619":860,"620":861,"621":862,"622":866,"623":868,"624":872,"625":873,"626":874,"627":875,"628":876,"629":877,"630":878,"631":879,"632":881,"633":886,"634":888,"635":893,"636":896,"637":899,"638":901,"639":902,"640":903,"641":905,"642":915,"643":917,"644":921,"645":923,"646":924,"647":928,"648":929,"649":931,"650":932,"651":935,"652":937,"653":939,"654":940,"655":942,"656":943,"657":944,"658":947,"659":953,"660":955,"661":956,"662":958,"663":959,"664":961,"665":963,"666":964,"667":965,"668":967,"669":968,"670":970,"671":978,"672":980,"673":981,"674":985,"675":986,"676":988,"677":990,"678":991,"679":993,"680":994,"681":995,"682":997,"683":998,"684":1000,"685":1003,"686":1004,"687":1005,"688":1013,"689":1018,"690":1019,"691":1021,"692":1022,"693":1023,"694":1024,"695":1025,"696":1027,"697":1028,"698":1030,"699":1031,"700":1033,"701":1034,"702":1035,"703":1036,"704":1039,"705":1040,"706":1041,"707":1042,"708":1045,"709":1047,"710":1049,"711":1050},{"0":1,"1":3,"2":10,"3":15,"4":27,"5":33,"6":63,"7":72,"8":78,"9":84,"10":91,"11":97,"12":98,"13":102,"14":108,"15":110,"16":117,"17":124,"18":137,"19":162,"20":168,"21":189,"22":196,"23":205,"24":219,"25":222,"26":225,"27":245,"28":263,"29":295,"30":318,"31":354,"32":359,"33":362,"34":372,"35":382,"36":388,"37":411,"38":414,"39":455,"40":474,"41":484,"42":489,"43":500,"44":502,"45":506,"46":507,"47":515,"48":523,"49":527,"50":529,"51":532,"52":533,"53":536,"54":541,"55":543,"56":550,"57":552,"58":553,"59":556,"60":562,"61":563,"62":565,"63":567,"64":569,"65":570,"66":571,"67":574,"68":576,"69":577,"70":582,"71":585,"72":587,"73":588,"74":593,"75":597,"76":602,"77":604,"78":607,"79":613,"80":614,"81":616,"82":620,"83":621,"84":626,"85":627,"86":629,"87":632,"88":634,"89":636,"90":638,"91":640,"92":641,"93":642,"94":644,"95":648,"96":650,"97":652,"98":653,"99":655,"100":658,"101":662,"102":667,"103":668,"104":673,"105":674,"106":677,"107":678,"108":679,"109":690,"110":694,"111":696,"112":699,"113":708,"114":709,"115":710,"116":713,"117":717,"118":724,"119":726,"120":730,"121":731,"122":732,"123":734,"124":737,"125":747,"126":754,"127":756,"128":757,"129":758,"130":762,"131":765,"132":767,"133":769,"134":770,"135":773,"136":776,"137":777,"138":778,"139":782,"140":786,"141":788,"142":796,"143":797,"144":799,"145":801,"146":802,"148":809,"149":812,"150":815,"151":816,"152":818,"153":820,"154":821,"155":823,"156":830,"157":834,"158":851,"159":854,"160":855,"162":863,"163":865,"164":869,"165":870,"166":880,"167":882,"168":883,"169":884,"170":885,"171":887,"172":890,"173":891,"174":892,"175":894,"176":895,"177":897,"178":898,"179":904,"180":906,"181":908,"182":911,"183":912,"184":914,"185":916,"186":922,"187":926,"188":933,"189":936,"190":945,"191":946,"192":948,"193":950,"194":957,"195":972,"196":973,"197":974,"198":976,"199":983,"200":989,"201":992,"202":996,"203":999,"204":1001,"205":1002,"206":1010,"207":1011,"208":1014,"209":1015,"210":1017,"211":1020,"212":1032,"213":1037,"214":1038,"215":1044,"216":1046,"217":1048,"218":1051},{"0":538,"1":545,"2":586,"3":590,"4":595,"5":598,"6":605,"7":611,"9":635,"10":647,"11":651,"12":657,"14":669,"15":675,"16":685,"17":693,"18":701,"19":711,"20":716,"21":725,"22":740,"23":746,"24":750,"25":761,"26":772,"27":793,"28":795,"29":804,"30":807,"31":808,"32":822,"33":824,"34":825,"35":826,"36":827,"37":829,"38":835,"39":836,"40":841,"41":847,"42":849,"43":850,"44":864,"45":867,"46":900,"47":907,"48":910,"49":913,"50":918,"51":919,"52":920,"53":925,"54":927,"56":952,"57":954,"58":962,"59":966,"60":971,"61":977,"62":1006,"63":1008,"64":1009,"65":1012,"66":1026,"67":1029,"68":1043},{"0":535,"1":549,"3":555,"4":606,"5":608,"6":633,"7":637,"8":645,"9":656,"10":659,"11":665,"12":686,"13":714,"14":729,"15":739,"16":759,"17":764,"18":775,"19":832,"20":843,"21":844,"22":871,"23":909,"24":934,"25":951,"27":975,"28":984,"29":1007,"30":1016,"31":1052,"32":1053},{"0":542,"2":612,"4":676,"6":794,"7":805,"8":889,"9":987},{"1":810,"3":979},{"2":941},[]]