[{"0":0,"1":1,"2":3,"4":5,"5":6,"6":8,"7":9,"8":10,"9":11,"10":12,"11":13,"12":14,"13":15,"14":16,"15":17,"16":18,"17":19,"18":20,"20":22,"21":23,"22":24,"23":25,"25":28,"26":29,"27":30,"29":33,"30":34,"31":36,"32":37,"33":38,"34":39,"35":41,"36":42,"37":43,"38":44,"39":45,"40":46,"41":47,"42":48,"43":49,"44":50,"45":51,"46":53,"47":54,"48":55,"49":56,"51":58,"52":59,"53":61,"54":63,"55":65,"56":67,"57":68,"58":69,"59":70,"60":71,"61":72,"62":73,"63":74,"64":75,"67":78,"68":79,"69":80,"70":81,"71":82,"72":83,"73":85,"74":86,"75":87,"76":88,"77":89,"78":91,"79":92,"80":93,"81":95,"82":96,"83":97,"84":98,"85":100,"86":101,"87":103,"88":105,"89":106,"90":107,"91":108,"92":109,"93":111,"94":112,"95":114,"96":115,"97":116,"98":117,"99":120,"101":122,"102":123,"103":124,"104":125,"105":126,"106":127,"107":128,"108":130,"109":131,"110":132,"111":133,"112":134,"113":136,"114":137,"115":138,"116":140,"117":141,"118":142,"119":143,"120":144,"121":145,"122":146,"123":148,"124":150,"125":151,"126":152,"127":153,"128":154,"129":155,"131":157,"132":158,"133":159,"134":160,"135":161,"137":163,"138":164,"139":165,"140":166,"141":167,"142":168,"143":169,"144":170,"145":171,"146":172,"147":173,"148":174,"149":175,"150":176,"151":177,"152":178,"153":179,"154":180,"155":181,"156":182,"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":207,"181":208,"182":209,"183":210,"184":211,"185":212,"186":213,"187":214,"188":215,"189":216,"190":219,"191":220,"192":221,"193":222,"194":224,"195":225,"196":226,"197":227,"198":228,"199":230,"200":231,"201":232,"202":233,"203":234,"204":236,"205":237,"206":239,"207":240,"208":241,"209":243,"210":244,"211":245,"212":246,"213":247,"214":248,"215":250,"216":251,"217":252,"218":253,"219":254,"220":257,"221":258,"222":259,"223":260,"224":261,"225":262,"226":263,"227":264,"228":265,"229":266,"230":267,"231":268,"232":269,"234":271,"235":272,"236":274,"237":275,"238":276,"239":277,"240":278,"241":279,"242":280,"243":281,"244":282,"245":283,"246":284,"247":285,"248":286,"249":287,"250":288,"251":289,"252":290,"253":291,"254":292,"255":293,"256":294,"257":295,"258":297,"259":299,"260":300,"261":301,"262":302,"263":303,"264":304,"265":305,"266":306,"267":309,"268":310,"269":311,"270":312,"271":313,"272":314,"273":315,"275":318,"276":319,"278":321,"279":322,"280":324,"281":325,"282":326,"283":327,"284":328,"285":329,"286":330,"287":331,"288":332,"290":334,"291":335,"292":336,"293":337,"294":338,"295":339,"296":340,"297":341,"298":343,"299":344,"300":345,"301":346,"302":347,"303":348,"304":349,"305":350,"306":352,"307":353,"308":354,"309":356,"310":357,"311":358,"312":359,"313":360,"314":361,"315":363,"316":364,"317":366,"318":367,"319":368,"320":369,"321":370,"322":371,"323":372,"324":373,"325":374,"326":377,"327":378,"329":380,"330":381,"331":382,"332":383,"333":384,"334":385,"335":386,"336":387,"337":389,"338":390,"339":392,"340":393,"341":394,"342":395,"343":396,"344":397,"345":398,"346":399,"347":400,"348":401,"349":402,"350":403,"351":404,"352":405,"353":406,"354":407,"356":409,"357":410,"358":411,"359":413,"361":416,"362":417,"363":418,"364":419,"365":420,"366":421,"367":422,"368":423,"369":424,"370":425,"371":426,"372":427,"373":428,"374":429,"375":430,"376":431,"377":432,"378":433,"379":434,"380":435,"381":436,"382":437,"383":438,"384":439,"385":440,"386":441,"387":442,"388":444,"389":445,"390":447,"391":448,"392":449,"393":451,"394":452,"395":454,"396":455,"397":456,"398":457,"399":458,"400":459,"401":460,"402":461,"403":462,"404":463,"405":464,"406":465,"407":466,"408":467,"409":469,"410":471,"411":472,"412":473,"413":474,"414":476,"415":478,"416":479,"417":480,"418":481,"419":482,"420":483,"421":484,"422":485,"423":486,"424":487,"425":488,"426":490,"427":491,"428":492,"429":495,"430":498,"431":499,"432":500,"433":501,"434":502,"435":503,"436":504,"437":506,"438":507,"439":508,"440":511,"441":512,"442":513,"443":516,"444":517,"445":520,"446":525,"447":526,"448":527,"449":530,"450":531,"451":535,"452":536,"453":538,"454":540,"455":547,"456":549,"457":554,"458":558,"459":559,"460":560,"461":567,"462":569,"463":573,"464":575,"465":578,"466":579,"467":580,"468":585,"469":588,"470":589,"471":590,"472":591,"473":593,"474":597,"475":602,"476":603,"477":605,"478":606,"479":607,"480":608,"481":610,"482":612,"483":614,"484":617,"485":618,"486":622,"487":623,"488":626,"489":628,"490":630,"491":633,"492":641,"493":642,"494":643,"495":644,"496":648,"497":650,"498":651,"499":660,"500":662,"501":667,"502":673,"503":674,"504":675,"505":677,"506":678,"507":680,"508":681,"509":685,"510":686,"511":687,"512":688,"513":689,"514":700,"515":701,"516":702,"517":703,"518":705,"519":708,"520":710,"521":712,"522":713,"523":714,"524":715,"525":718,"526":721,"527":722,"528":724,"529":725,"530":730,"531":735,"532":736,"533":738,"534":740,"535":741,"536":744,"537":745,"538":746,"539":747,"540":748,"541":749,"542":750,"543":753,"544":754,"545":755,"546":756,"547":759,"548":760,"549":765,"550":768,"551":769,"552":773,"553":776,"554":777,"555":784,"556":785,"557":787,"558":790,"559":791,"560":793,"561":796,"562":798,"563":799,"564":800,"565":801,"566":808,"567":809,"568":810,"569":812,"570":815,"571":818,"572":820,"573":821,"574":822,"575":826,"576":828,"577":829,"578":830,"579":832,"580":833,"581":838,"582":839,"583":847,"584":852,"585":853,"586":854,"587":858,"588":861,"589":862,"590":867,"591":868,"592":874,"593":875,"595":883,"596":884,"597":885,"598":886,"599":887,"600":889,"601":892,"602":893,"603":894,"604":895,"605":901,"606":903,"607":905,"608":906,"609":909,"610":910,"611":911,"612":913,"613":914,"614":916,"615":917,"616":918,"617":920,"618":921,"619":926,"620":928,"621":933,"622":936,"623":937,"624":940,"625":941,"626":942,"627":943,"628":944,"629":945,"630":947,"631":950,"632":951,"633":952,"634":954,"635":964,"636":965,"637":966,"638":970,"639":974,"640":978,"641":979,"642":980,"643":982,"644":985,"645":990,"646":994,"647":998,"648":1003,"649":1004,"650":1015,"651":1018},{"0":2,"1":7,"2":26,"3":32,"4":35,"5":40,"6":52,"7":60,"8":62,"9":64,"10":84,"11":90,"12":94,"13":99,"14":104,"15":113,"16":118,"17":119,"18":129,"19":135,"20":139,"21":149,"22":206,"23":217,"24":218,"25":223,"26":229,"27":235,"28":238,"29":242,"30":249,"31":255,"32":256,"33":273,"34":296,"35":298,"36":307,"37":317,"38":323,"39":342,"40":351,"41":355,"42":362,"43":365,"44":375,"45":388,"46":412,"47":414,"48":443,"49":446,"50":450,"51":453,"52":468,"53":470,"54":477,"55":489,"56":493,"57":494,"58":496,"59":497,"60":505,"61":509,"62":510,"63":515,"64":521,"65":522,"66":524,"67":528,"68":529,"69":537,"70":542,"71":543,"72":544,"73":548,"74":552,"75":553,"76":555,"77":556,"78":563,"79":566,"80":570,"81":572,"82":574,"83":576,"84":577,"85":583,"86":584,"87":592,"88":594,"89":600,"90":601,"91":604,"92":615,"93":616,"94":624,"95":625,"96":635,"97":637,"98":639,"99":654,"100":655,"101":663,"102":664,"103":665,"104":666,"105":669,"106":676,"107":682,"108":683,"109":690,"110":704,"111":706,"112":707,"113":711,"114":716,"115":717,"116":723,"117":726,"118":727,"119":728,"120":731,"121":734,"122":737,"123":739,"124":742,"125":751,"126":757,"127":758,"128":762,"129":763,"130":771,"131":780,"132":783,"133":788,"134":789,"135":792,"136":803,"137":804,"138":805,"139":806,"140":807,"141":811,"142":816,"143":817,"144":819,"145":824,"146":827,"147":834,"148":836,"149":837,"150":840,"151":841,"152":842,"153":844,"154":845,"155":846,"156":849,"157":851,"158":855,"159":856,"160":863,"161":866,"162":870,"163":871,"164":872,"165":876,"166":878,"167":882,"168":888,"169":891,"170":899,"171":904,"172":907,"173":912,"174":915,"175":925,"176":929,"177":934,"178":935,"179":946,"180":955,"181":956,"182":957,"183":958,"184":959,"185":960,"186":967,"187":968,"188":975,"189":984,"190":987,"191":988,"193":995,"194":997,"195":1001,"196":1002,"197":1005,"198":1012,"199":1017,"200":1021,"201":1023},[66,102,110,147,308,376,391,475,514,518,519,523,532,545,546,551,562,568,571,586,595,596,598,599,609,611,619,620,627,631,634,636,645,647,656,657,658,679,684,692,693,694,696,698,720,729,733,764,782,795,797,802,813,823,835,848,864,881,890,897,902,922,923,930,938,939,948,961,963,971,977,986,989,999,1000,1006,1008,1013,1016,1019],[533,534,561,565,587,613,621,632,652,653,659,668,670,672,697,719,766,778,781,857,879,898,919,931,932,949,953,981,1009,1010,1014],[557,629,638,640,732,774,814,843,859,860,873,983,1011,1022],[539,541,649,661,699,752,761,825,900,962,969,972,993,996],[709,770,772,779,786,831,896,927,973,992,1007],[550,564,581,671,691,695,767,775,794,869,908,924],[582,850,865,880,976,1020],[646,743]]