[{"0":0,"2":2,"3":4,"5":6,"6":7,"7":10,"8":11,"9":13,"10":14,"11":16,"12":17,"13":18,"14":19,"15":20,"16":21,"17":23,"20":26,"21":27,"22":28,"23":29,"24":30,"25":32,"26":33,"27":34,"28":35,"29":36,"30":38,"31":39,"32":40,"33":41,"34":42,"35":43,"36":44,"37":45,"38":46,"39":47,"40":48,"41":50,"42":51,"43":52,"44":53,"45":54,"46":55,"47":56,"49":60,"50":61,"51":62,"52":63,"53":64,"54":65,"55":66,"56":67,"57":68,"58":69,"59":70,"60":71,"61":72,"62":73,"63":74,"64":75,"65":76,"66":77,"67":78,"68":80,"69":81,"70":82,"71":83,"72":84,"73":85,"74":86,"75":88,"76":89,"77":90,"78":91,"79":92,"80":93,"81":94,"82":95,"83":96,"84":97,"85":98,"86":99,"87":100,"88":101,"89":102,"90":103,"91":104,"92":105,"93":106,"94":107,"95":108,"96":109,"97":110,"98":111,"99":112,"100":113,"101":115,"102":116,"103":117,"104":118,"105":119,"107":121,"108":122,"109":123,"110":124,"111":125,"112":126,"113":127,"114":128,"115":129,"116":130,"117":131,"118":132,"119":133,"120":134,"121":135,"123":137,"124":138,"125":140,"126":141,"127":142,"128":143,"129":144,"130":145,"131":146,"132":147,"133":148,"134":149,"136":151,"137":152,"138":153,"139":154,"140":155,"141":156,"142":157,"143":158,"144":159,"145":160,"146":162,"147":163,"148":164,"149":165,"150":166,"151":167,"152":168,"153":169,"154":170,"155":171,"156":172,"157":173,"158":174,"159":175,"160":176,"161":177,"162":178,"163":179,"164":180,"165":181,"166":182,"167":183,"168":184,"169":185,"170":186,"171":187,"172":188,"173":189,"174":190,"175":191,"176":192,"177":193,"178":194,"179":195,"180":196,"181":197,"182":198,"183":199,"184":201,"185":202,"186":203,"187":205,"188":206,"189":207,"190":208,"191":209,"192":210,"193":211,"194":212,"195":213,"196":214,"197":215,"198":216,"199":217,"200":218,"201":219,"202":220,"203":221,"204":223,"205":224,"206":225,"207":226,"208":227,"209":228,"210":229,"211":230,"212":231,"213":232,"214":234,"215":235,"216":236,"217":237,"218":238,"219":239,"220":240,"221":241,"222":242,"223":243,"224":244,"225":245,"226":247,"227":248,"228":249,"229":250,"230":251,"231":252,"232":253,"233":254,"234":255,"235":256,"236":257,"237":258,"238":259,"239":260,"240":261,"241":262,"242":264,"243":265,"244":266,"245":267,"246":268,"247":269,"248":270,"250":272,"251":273,"252":274,"253":275,"254":277,"255":279,"256":280,"257":281,"258":283,"259":284,"260":285,"261":286,"262":287,"263":288,"264":289,"265":291,"266":292,"267":293,"268":294,"269":295,"270":296,"271":297,"272":298,"273":299,"274":300,"275":301,"276":302,"277":306,"278":307,"279":308,"280":309,"281":310,"282":311,"283":313,"285":315,"286":316,"287":317,"288":318,"289":320,"291":322,"292":323,"293":324,"294":325,"295":326,"296":327,"297":328,"298":330,"299":331,"300":332,"301":333,"302":334,"303":335,"304":336,"305":337,"306":338,"307":339,"308":340,"310":342,"311":343,"312":344,"313":345,"314":346,"315":348,"316":349,"317":350,"318":351,"319":352,"320":353,"321":354,"322":355,"323":356,"324":357,"325":358,"326":359,"327":360,"328":361,"329":362,"330":363,"331":364,"332":365,"333":366,"334":367,"335":369,"336":370,"337":371,"338":372,"339":373,"340":374,"341":375,"342":376,"343":377,"344":378,"345":379,"346":380,"347":381,"348":382,"349":383,"350":384,"351":386,"352":387,"353":388,"354":389,"355":391,"356":392,"357":393,"358":394,"359":395,"360":396,"361":397,"362":398,"363":399,"364":400,"365":401,"366":402,"367":403,"368":404,"369":405,"370":406,"371":407,"372":408,"373":410,"374":411,"375":412,"376":415,"377":416,"378":417,"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":433,"394":434,"395":435,"396":436,"397":437,"398":438,"399":439,"400":440,"401":441,"402":442,"403":443,"405":445,"407":447,"408":448,"409":449,"410":450,"411":451,"412":452,"413":453,"414":454,"415":455,"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,"434":475,"435":476,"436":477,"437":478,"438":479,"439":480,"440":481,"441":482,"442":483,"443":486,"444":487,"445":488,"446":489,"447":490,"448":491,"449":492,"450":493,"451":494,"452":495,"453":496,"455":498,"456":499,"457":500,"458":501,"459":502,"460":503,"461":504,"462":505,"463":506,"464":507,"465":508,"466":509,"467":510,"468":511,"469":519,"470":527,"471":533,"472":540,"473":542,"474":546,"475":553,"476":556,"477":558,"478":561,"479":569,"480":572,"481":580,"482":585,"483":587,"484":591,"485":607,"486":611,"487":614,"488":619,"489":622,"490":626,"491":635,"492":639,"493":643,"494":646,"495":658,"496":664,"497":670,"498":676,"499":680,"500":686,"501":701,"502":727,"503":734,"504":738,"505":742,"506":756,"507":758,"508":759,"509":769,"510":773,"511":778,"512":787,"513":795,"514":806,"515":813,"516":827,"517":828,"518":829,"519":832,"520":839,"521":847,"522":855,"523":866,"524":896,"525":899,"526":900,"527":905,"528":916,"529":937,"530":944,"531":951,"532":952,"533":956,"534":957,"535":963,"536":968,"537":977,"538":985,"539":986,"540":987,"541":1007,"542":1009,"543":1018},{"0":3,"1":9,"2":15,"3":22,"4":31,"5":37,"6":49,"7":58,"8":87,"9":161,"10":204,"11":222,"12":233,"13":246,"14":263,"15":278,"16":282,"17":290,"18":303,"19":304,"20":305,"21":312,"22":319,"23":329,"24":347,"25":368,"26":385,"27":390,"28":409,"29":413,"30":414,"31":484,"32":485,"33":528,"34":529,"35":545,"36":551,"37":555,"38":557,"39":566,"40":570,"41":571,"42":583,"43":584,"44":592,"45":593,"46":597,"47":610,"48":615,"49":620,"50":623,"51":624,"52":630,"53":645,"54":647,"55":649,"56":651,"57":652,"58":657,"59":659,"60":660,"61":661,"62":662,"63":667,"64":669,"65":674,"66":675,"67":679,"68":682,"69":685,"70":689,"71":691,"72":693,"73":700,"74":705,"75":710,"76":714,"77":716,"78":723,"79":725,"80":726,"81":729,"82":733,"83":737,"84":746,"85":747,"86":748,"87":749,"88":757,"89":760,"90":762,"91":765,"92":777,"93":782,"94":783,"95":784,"96":785,"98":791,"99":804,"100":807,"101":808,"102":811,"103":816,"104":817,"105":818,"106":824,"107":825,"108":830,"109":838,"110":845,"111":852,"112":865,"113":867,"114":868,"115":872,"116":875,"117":877,"118":882,"119":883,"120":891,"121":892,"122":894,"123":897,"124":901,"125":902,"126":912,"127":913,"128":918,"129":924,"130":926,"131":927,"132":928,"133":932,"134":933,"135":934,"136":940,"137":942,"138":943,"139":959,"140":969,"141":970,"142":971,"143":973,"144":975,"145":978,"146":994,"147":995,"148":996,"149":997,"150":998,"151":999,"152":1000,"153":1003,"154":1008,"155":1019,"156":1021,"157":1022},{"0":8,"1":12,"2":59,"3":79,"4":114,"5":139,"6":200,"7":276,"8":432,"9":474,"10":512,"11":539,"12":543,"13":554,"14":562,"15":567,"16":579,"17":612,"18":637,"19":666,"20":672,"21":719,"22":722,"23":732,"24":736,"25":752,"26":786,"27":798,"28":799,"29":809,"30":819,"31":822,"32":826,"33":853,"35":869,"36":871,"37":880,"38":885,"39":886,"40":906,"41":907,"42":908,"43":915,"44":920,"45":930,"46":946,"47":953,"48":960,"50":984,"51":1023},[537,550,574,577,578,634,648,678,683,694,740,770,781,856,861,889,904,923,949,974],[650,741,797,814,835,917,958,980],[517,617,632,706,712,745,931,990,1012],[598,751,888,993,1013],{"0":548,"2":802},[857,989],[541,544],[568,581,711,850],[793,840,893],[520,695,812,941],[573,687,848],[532,810,876],[708,948,965],[586,919],[565,575,774,843,922],[518,605,665,772,879],[600,800,887,903],[640,690,820,929],[559,563,627,878],[536,618,681,914,1020],[513,531,609,966],[549,621,730,789,836],[534,638,671,709,873,1010],[552,673,697,720,735,898],[560,851,979],[656,805,823,983,1004,1017],[526,668,833,870,874,1005],[530,717,739,743,792,862,910,925],[601,788],[628,663,761,890],[844,864],[702,768,962],[655,803,1015],[516,704],[588,599,821],[535,582,589],[576,718,945,1014],[654,976,1006],[636,938],[523,779],[625,642,692,731,753,754,950,964],[522,815,936],[764,831,841,854],[684,842],[766,981],[606,801,846],[595,644,677,939],[514,750,858],[767],[715,884],[525],[594,616],[895,982],[1016],[547,641,881],[604,991],[564],[780,837,935],[603,699],[698],[776,794,1002],[524,921],[707],[688,796],[613,721],[834,860],[954,972],[538],[633],[608,992],[724],[713,744,771],[755,763,1011],[703,911],[521],[849,859],[602,775],[629],[590,653],[947],[1001],[515,696],[955],[596],[909],[961],[728]]