[{"0":0,"1":1,"2":3,"3":4,"5":6,"6":7,"7":8,"8":9,"9":11,"11":13,"12":14,"14":16,"15":17,"16":18,"17":19,"18":20,"19":21,"20":22,"21":23,"23":25,"24":26,"25":27,"27":29,"28":30,"29":31,"30":32,"31":33,"32":34,"33":35,"34":36,"37":39,"39":41,"40":42,"41":43,"42":45,"43":46,"44":47,"45":48,"47":50,"48":51,"49":52,"50":53,"51":54,"52":55,"53":56,"54":57,"55":58,"56":59,"57":60,"58":61,"59":62,"60":63,"61":64,"63":66,"64":67,"65":68,"66":69,"67":70,"68":71,"69":72,"70":73,"71":74,"73":76,"74":77,"75":78,"76":79,"78":81,"79":82,"80":83,"81":84,"83":86,"85":88,"86":89,"87":91,"89":93,"90":94,"91":95,"93":97,"94":98,"97":101,"98":102,"99":103,"100":104,"102":106,"103":107,"104":108,"106":110,"107":111,"108":112,"109":113,"110":115,"111":116,"112":117,"114":119,"115":120,"116":121,"117":122,"118":123,"119":124,"120":125,"121":126,"122":127,"123":128,"124":129,"125":130,"126":131,"127":132,"128":133,"129":134,"130":135,"131":136,"132":137,"133":138,"134":139,"135":140,"136":141,"137":143,"138":144,"140":146,"141":147,"143":149,"145":151,"146":152,"147":153,"148":154,"150":156,"151":157,"152":158,"153":159,"154":160,"155":161,"158":164,"159":165,"160":166,"161":167,"163":169,"164":171,"165":172,"166":173,"167":174,"168":175,"169":176,"170":177,"171":178,"172":179,"173":180,"174":181,"175":182,"176":183,"177":184,"178":185,"179":187,"180":188,"181":189,"182":190,"183":191,"184":192,"185":193,"186":194,"187":195,"188":196,"189":197,"190":198,"191":199,"192":200,"193":201,"194":202,"195":203,"196":205,"198":207,"199":208,"200":209,"201":210,"202":211,"204":213,"205":214,"206":215,"207":216,"208":217,"209":218,"210":219,"211":220,"212":221,"214":223,"215":224,"216":225,"217":226,"220":229,"222":232,"223":233,"224":234,"225":235,"226":236,"227":237,"228":238,"229":239,"230":240,"231":241,"232":242,"233":243,"234":244,"235":245,"236":246,"237":247,"238":248,"240":250,"241":251,"242":252,"243":254,"244":255,"245":256,"246":257,"247":258,"248":259,"249":260,"250":262,"251":263,"252":264,"253":265,"255":267,"256":268,"257":269,"258":270,"259":271,"260":272,"261":273,"262":274,"263":275,"264":276,"265":277,"266":278,"267":279,"268":280,"269":282,"270":283,"271":284,"272":285,"273":286,"274":287,"275":288,"277":290,"279":292,"280":293,"281":294,"282":295,"283":296,"284":297,"285":298,"286":299,"287":300,"288":301,"289":302,"291":304,"293":306,"294":307,"295":308,"296":309,"297":310,"298":311,"299":312,"300":313,"301":314,"302":315,"303":316,"305":318,"306":319,"307":320,"308":321,"309":322,"310":323,"311":324,"312":325,"313":326,"314":327,"315":328,"316":329,"317":330,"318":331,"319":332,"320":333,"321":335,"322":336,"324":338,"325":339,"327":341,"328":342,"329":343,"330":344,"331":345,"332":346,"333":347,"334":348,"335":349,"336":350,"337":351,"338":352,"339":353,"340":354,"341":355,"342":356,"343":357,"344":358,"345":359,"346":360,"347":361,"348":362,"349":363,"350":364,"351":365,"352":366,"354":368,"355":369,"356":370,"357":371,"358":372,"359":373,"360":374,"362":376,"363":377,"364":378,"365":379,"366":380,"367":381,"368":382,"369":383,"370":384,"372":386,"374":388,"375":389,"376":390,"377":392,"378":393,"380":395,"381":397,"382":398,"383":399,"384":400,"386":402,"387":403,"388":404,"389":405,"390":406,"391":407,"392":408,"393":409,"394":410,"395":411,"396":412,"397":413,"398":414,"401":418,"402":419,"403":420,"404":421,"405":422,"406":423,"407":425,"411":429,"412":430,"413":431,"414":432,"415":433,"416":434,"417":435,"418":436,"419":437,"420":438,"421":439,"422":440,"423":441,"424":442,"425":443,"426":444,"427":445,"428":446,"429":447,"430":448,"431":449,"432":450,"433":451,"434":452,"435":453,"436":454,"437":455,"438":456,"440":458,"441":459,"442":460,"443":461,"445":464,"446":465,"447":466,"448":467,"449":468,"450":469,"451":470,"453":472,"455":474,"456":475,"457":476,"458":477,"459":478,"461":480,"462":481,"463":482,"464":483,"465":484,"466":486,"467":487,"468":488,"470":490,"471":491,"472":492,"473":493,"474":494,"475":495,"476":496,"477":497,"478":498,"479":499,"481":502,"482":503,"483":504,"484":505,"485":506,"486":507,"487":508,"488":509,"489":510,"490":511,"491":520,"492":534,"494":553,"495":567,"496":597,"497":601,"498":602,"499":618,"500":629,"501":634,"502":635,"503":639,"504":646,"505":666,"507":671,"508":677,"509":686,"510":699,"511":705,"512":709,"513":712,"514":721,"515":724,"516":727,"517":733,"518":738,"519":743,"520":749,"521":753,"522":760,"523":768,"524":771,"525":784,"527":802,"528":809,"529":819,"530":835,"531":847,"532":851,"533":852,"534":890,"535":894,"536":899,"538":913,"539":920,"540":924,"541":943,"542":946,"543":954,"544":961,"545":974,"546":986,"547":988,"548":998,"549":1002,"550":1009,"551":1010},{"0":2,"1":10,"3":90,"4":114,"5":142,"6":170,"7":186,"8":204,"9":231,"10":253,"11":261,"12":281,"13":334,"14":391,"15":396,"18":462,"19":485,"20":500,"21":514,"22":517,"23":524,"24":527,"25":533,"26":535,"28":551,"29":554,"30":556,"31":559,"32":562,"33":563,"35":572,"36":582,"37":600,"38":605,"39":609,"40":611,"41":622,"42":624,"43":636,"44":642,"45":645,"46":655,"47":660,"48":662,"49":682,"50":685,"51":694,"52":714,"53":717,"54":723,"55":732,"56":735,"57":737,"59":745,"60":748,"61":766,"63":779,"65":792,"66":796,"67":801,"68":805,"69":811,"71":818,"72":831,"73":834,"74":837,"75":839,"76":841,"77":842,"78":849,"79":857,"80":858,"81":864,"82":871,"83":872,"84":876,"85":878,"86":879,"87":885,"88":886,"89":887,"90":903,"91":904,"92":914,"93":916,"94":923,"95":926,"96":927,"97":935,"98":939,"99":940,"100":952,"101":960,"102":963,"103":965,"104":975,"105":977,"106":980,"107":981,"108":985,"109":987,"110":991,"111":993,"112":1000},{"0":518,"1":529,"3":548,"4":555,"5":576,"6":587,"8":613,"9":617,"10":620,"11":632,"12":649,"13":657,"14":658,"15":672,"16":687,"17":703,"18":704,"20":726,"21":728,"22":744,"25":752,"26":758,"27":763,"28":775,"29":781,"31":789,"32":808,"33":812,"34":823,"35":838,"36":854,"37":856,"38":861,"39":870,"40":912,"41":922,"42":938,"44":964,"45":994},{"0":537,"1":538,"2":557,"4":581,"5":619,"7":627,"8":653,"9":701,"11":804,"14":917,"16":967,"18":1015},{"1":571,"4":628,"6":791,"12":962,"13":1005},{"0":584,"1":588,"6":711,"7":826},{"0":558,"4":822,"5":832,"7":941},{"3":928,"4":958,"5":968},{"0":603,"1":688,"2":764,"4":797,"5":821,"8":908},{"0":604,"2":729,"3":862,"5":947,"6":1022},[696,706,750,868],{"0":530,"1":550,"2":614,"4":679,"6":820},{"0":668,"2":790,"3":953,"4":978},{"0":536,"1":673,"3":722,"4":762,"5":1012,"6":1018},{"0":573,"1":616,"2":626,"4":777,"5":930,"6":972},[579,595,814,815,824,992],[522,615,625,633,637,843,867,891,976],[546,566,725,736,806,1007],[513,641,739,741,776,795,865,910,933,990],[552,589,875,907],[680,817,956,966,997],{"2":608,"4":827,"7":937},[569,751,773,780],{"0":526,"1":598,"4":765,"6":936,"7":949},{"0":561,"2":767},{"1":754,"3":860},{"1":869,"3":929,"4":996},[516,532,570],{"1":761,"3":844,"7":983},{"0":541,"1":574,"3":720,"4":803},{"1":542,"2":591,"3":640,"4":828,"6":896},{"0":523,"3":681,"4":715,"5":786,"6":787,"7":883},[578,583,661,730],{"0":531,"1":664,"3":948,"4":1014},{"0":590,"2":719,"3":731,"4":850,"6":995},[521,592,755,830,909],[734,774,836],[656,798,800,859],[564,684],[630,919,944,1021],[512,585,690,772,799,893],[560,599,697,702,759,905,973],[631,770,855,1017],[670,783,984,999],[621,667,957,969],[1013,1016],[825,840,889],[931,1001],[525,610,982],{"0":580,"3":1011},{"1":683,"2":716,"3":942,"4":1020},[515,700],[594,846],[659,925],[698],[794],[793],[1006],[693]]