[{"0":0,"1":2,"2":4,"3":7,"4":8,"5":9,"6":11,"7":12,"8":13,"9":14,"10":15,"11":16,"13":18,"14":19,"15":20,"16":21,"17":22,"18":23,"19":24,"20":27,"21":28,"22":29,"23":30,"25":32,"26":33,"27":34,"28":35,"29":36,"30":37,"31":38,"32":39,"33":40,"34":41,"35":42,"36":43,"37":44,"38":45,"39":46,"40":47,"41":48,"42":49,"43":50,"44":51,"45":52,"46":53,"47":54,"48":55,"50":57,"51":58,"53":61,"54":62,"55":63,"57":65,"59":67,"60":69,"61":71,"62":72,"63":73,"64":74,"65":75,"66":76,"68":78,"69":79,"70":80,"71":81,"72":82,"73":83,"75":86,"76":87,"77":88,"78":89,"79":90,"80":91,"81":92,"82":93,"83":94,"84":95,"85":96,"86":98,"87":99,"88":100,"89":102,"90":103,"91":104,"92":105,"93":106,"94":107,"95":108,"96":109,"97":110,"98":111,"99":112,"100":113,"102":115,"103":116,"104":117,"105":118,"107":120,"108":121,"109":122,"110":123,"111":124,"112":125,"113":126,"114":128,"115":129,"116":130,"117":131,"118":132,"119":133,"120":134,"121":135,"122":136,"123":137,"124":138,"125":140,"126":142,"127":143,"128":144,"129":145,"130":146,"131":147,"132":148,"133":149,"134":150,"135":151,"136":152,"137":153,"138":154,"139":155,"140":157,"141":158,"142":159,"143":160,"144":161,"145":162,"146":163,"147":165,"148":166,"149":167,"150":168,"151":169,"152":170,"153":171,"154":172,"155":173,"156":174,"157":176,"158":177,"159":178,"162":184,"163":185,"164":186,"166":189,"167":190,"168":191,"169":193,"170":194,"171":195,"172":196,"173":197,"174":198,"175":199,"176":200,"177":201,"178":202,"179":205,"180":206,"181":207,"182":208,"183":209,"184":211,"185":212,"186":213,"187":214,"188":215,"189":216,"190":218,"191":219,"192":220,"193":221,"194":222,"195":224,"196":225,"197":226,"198":227,"199":228,"200":229,"201":230,"202":232,"203":234,"204":237,"205":238,"206":239,"207":240,"208":241,"209":242,"210":243,"211":244,"212":245,"213":246,"214":247,"215":248,"216":249,"217":250,"218":251,"219":253,"220":254,"221":255,"224":259,"225":260,"226":261,"227":262,"228":263,"229":264,"230":265,"231":266,"232":267,"233":269,"234":270,"235":271,"236":273,"237":274,"238":275,"239":276,"240":278,"241":279,"242":280,"243":281,"244":282,"245":283,"246":284,"247":287,"248":288,"249":289,"250":290,"251":291,"252":292,"253":293,"254":295,"255":296,"256":297,"257":300,"258":301,"259":302,"260":303,"261":304,"262":305,"263":306,"265":308,"266":310,"267":311,"268":312,"269":313,"270":314,"271":315,"272":316,"273":317,"274":318,"275":320,"276":321,"277":322,"278":323,"279":324,"280":325,"281":326,"283":329,"284":331,"286":333,"287":334,"288":335,"289":336,"290":337,"291":338,"292":339,"294":341,"295":342,"296":343,"297":345,"298":346,"299":347,"300":348,"301":350,"302":352,"303":354,"304":355,"305":356,"306":357,"307":358,"308":359,"309":360,"310":361,"311":362,"312":363,"313":364,"314":365,"315":366,"316":367,"317":368,"318":369,"319":370,"320":371,"321":372,"322":373,"323":375,"325":377,"326":379,"327":380,"328":381,"330":383,"331":385,"332":386,"333":387,"334":388,"335":392,"336":393,"337":394,"338":396,"339":397,"340":398,"341":399,"342":401,"343":402,"344":403,"345":404,"346":405,"347":406,"348":407,"349":408,"350":409,"351":410,"352":412,"353":413,"354":414,"355":417,"356":419,"357":420,"358":421,"360":423,"361":424,"362":425,"363":426,"364":427,"365":428,"366":429,"367":430,"368":432,"369":433,"370":434,"371":435,"373":439,"374":440,"375":441,"376":442,"377":443,"378":444,"379":445,"380":446,"381":447,"382":448,"383":449,"384":450,"386":452,"388":454,"389":455,"390":456,"391":457,"392":458,"393":459,"394":462,"395":463,"396":464,"397":465,"398":466,"399":467,"400":468,"401":469,"402":471,"403":472,"404":473,"405":474,"406":476,"407":478,"408":479,"409":480,"410":481,"411":482,"412":484,"413":485,"414":486,"415":487,"416":488,"417":491,"418":492,"419":494,"420":497,"421":498,"422":499,"423":500,"424":501,"425":502,"426":504,"427":506,"428":507,"429":508,"430":509,"431":510,"432":511,"433":515,"434":517,"435":518,"436":519,"438":521,"439":525,"440":526,"441":528,"442":531,"443":533,"444":534,"445":535,"446":539,"447":542,"448":545,"449":546,"450":547,"451":548,"452":550,"453":553,"454":555,"455":557,"456":561,"457":564,"458":566,"459":567,"460":568,"461":569,"462":571,"463":573,"464":575,"465":579,"466":580,"467":582,"468":584,"469":585,"470":587,"471":590,"472":594,"473":595,"474":596,"475":597,"476":599,"477":600,"478":605,"479":606,"480":612,"481":613,"482":614,"483":622,"484":625,"485":626,"486":628,"487":631,"488":635,"489":637,"490":638,"491":640,"492":641,"493":647,"494":649,"495":654,"496":655,"497":657,"498":660,"499":661,"500":663,"501":666,"502":669,"503":670,"504":671,"505":674,"506":675,"507":676,"508":677,"509":680,"510":683,"511":686,"512":687,"513":689,"514":690,"515":694,"516":695,"517":701,"518":702,"519":707,"520":708,"521":709,"522":710,"523":713,"524":717,"525":719,"526":724,"527":725,"528":726,"529":728,"530":730,"531":732,"532":737,"533":738,"534":740,"535":742,"536":747,"537":748,"538":750,"539":751,"540":753,"541":754,"542":756,"543":757,"544":758,"545":762,"546":763,"547":766,"548":769,"549":770,"550":772,"551":773,"552":776,"553":778,"554":780,"555":782,"556":788,"557":789,"558":791,"559":793,"560":796,"561":797,"562":798,"563":799,"564":800,"565":802,"566":806,"567":809,"568":810,"569":813,"570":815,"571":817,"572":818,"573":819,"574":820,"575":824,"576":829,"577":832,"578":837,"579":839,"580":840,"581":841,"582":844,"583":849,"584":850,"585":851,"586":852,"587":856,"588":860,"589":864,"590":865,"591":867,"592":869,"593":871,"594":872,"595":873,"596":875,"597":878,"598":880,"599":881,"600":883,"601":884,"602":886,"603":889,"604":890,"605":894,"606":901,"607":905,"608":909,"609":912,"610":914,"611":915,"612":917,"613":919,"614":922,"615":926,"616":928,"617":930,"618":933,"619":934,"620":936,"621":938,"622":939,"623":940,"624":946,"625":947,"626":948,"627":950,"628":952,"629":959,"630":962,"631":964,"632":965,"633":966,"634":968,"635":971,"636":972,"637":974,"638":976,"639":977,"640":979,"641":981,"642":983,"643":985,"644":989,"645":990,"646":994,"647":996,"648":998,"649":1001,"650":1003,"651":1007,"652":1010,"653":1013,"654":1015,"655":1017,"656":1018,"657":1019,"658":1021,"659":1022},{"0":1,"1":3,"2":5,"3":6,"4":10,"5":25,"6":26,"7":59,"8":68,"9":70,"10":84,"11":97,"12":127,"13":139,"14":141,"15":156,"16":164,"17":175,"18":180,"19":182,"20":183,"21":187,"22":192,"23":203,"24":204,"25":210,"26":217,"27":223,"28":231,"29":233,"30":235,"31":236,"32":252,"33":256,"34":268,"35":272,"36":277,"37":285,"38":286,"39":294,"40":298,"41":299,"42":309,"43":319,"44":328,"45":330,"46":344,"47":349,"48":351,"49":353,"50":374,"51":378,"52":384,"53":389,"54":390,"55":391,"56":395,"57":400,"58":411,"59":415,"60":418,"61":431,"62":436,"63":437,"64":460,"65":461,"66":470,"67":475,"68":477,"69":483,"70":489,"71":490,"72":493,"73":495,"74":496,"75":503,"76":505,"77":512,"78":513,"79":514,"80":516,"81":523,"82":529,"83":536,"84":537,"85":538,"86":541,"87":543,"88":549,"89":552,"90":554,"91":556,"92":558,"93":560,"94":563,"95":565,"96":574,"97":576,"98":577,"99":578,"100":581,"101":588,"102":592,"103":601,"104":604,"105":607,"106":609,"107":616,"108":620,"109":623,"110":629,"111":630,"112":632,"113":634,"114":644,"115":648,"116":650,"117":651,"118":652,"119":653,"120":656,"121":658,"122":665,"123":672,"124":673,"125":678,"126":679,"127":688,"128":692,"129":696,"130":697,"131":698,"132":699,"133":704,"134":705,"135":706,"136":712,"137":715,"138":716,"139":718,"141":721,"142":722,"143":727,"144":731,"145":736,"146":741,"147":745,"148":746,"149":749,"150":759,"151":760,"152":761,"153":764,"154":765,"155":767,"156":768,"157":774,"158":779,"159":783,"160":784,"161":790,"162":794,"163":795,"164":803,"165":805,"166":807,"168":822,"169":823,"170":826,"171":828,"172":833,"173":834,"174":836,"175":842,"176":843,"177":845,"178":847,"179":855,"180":857,"181":858,"182":861,"183":862,"184":863,"185":866,"186":868,"187":870,"188":876,"189":877,"190":879,"191":882,"192":892,"193":893,"194":895,"195":898,"196":899,"197":902,"198":907,"199":913,"200":916,"201":918,"202":924,"203":929,"204":931,"205":932,"206":935,"207":941,"208":944,"209":951,"210":963,"211":975,"212":978,"213":984,"214":987,"215":991,"216":1002,"217":1004,"218":1009,"219":1011,"220":1016,"221":1020},{"0":532,"1":540,"2":551,"3":559,"4":562,"5":570,"6":583,"7":598,"8":610,"9":611,"10":617,"11":619,"12":633,"13":636,"14":639,"15":659,"16":667,"17":682,"18":685,"19":700,"20":703,"21":734,"22":739,"23":743,"24":744,"25":752,"26":771,"27":785,"28":786,"29":787,"30":801,"31":808,"32":821,"33":827,"34":853,"35":885,"36":887,"37":903,"38":908,"39":911,"40":921,"41":927,"42":943,"43":955,"44":960,"45":973,"46":980,"47":982,"49":993,"50":997,"51":1000,"52":1005,"53":1008},{"0":101,"1":416,"2":591,"3":603,"4":608,"5":624,"6":668,"7":684,"9":693,"10":723,"11":733,"13":755,"14":804,"15":814,"16":816,"17":825,"18":846,"19":848,"20":891,"21":897,"22":904,"23":906,"24":920,"25":949,"26":961,"27":967,"28":999},{"0":522,"1":530,"2":544,"4":593,"5":618,"7":645,"8":714,"9":777,"10":835,"11":838,"12":910,"13":945,"14":956,"15":969,"16":995,"17":1006},{"0":621,"1":642,"2":662,"3":681,"4":729,"5":775,"6":792,"7":811,"9":831,"10":874,"11":888,"12":896,"13":925,"14":1014},[527,643,781,859,953,957],{"0":524,"1":602,"2":615,"4":854,"5":958,"6":970,"7":1023},[646,937,942,954,992],[572,589,711],[923],[900]]