[{"0":0,"1":1,"2":2,"3":3,"4":4,"5":5,"6":6,"7":8,"8":9,"9":10,"10":12,"11":13,"12":14,"13":15,"14":16,"15":17,"16":18,"17":19,"18":20,"19":21,"20":22,"21":23,"22":24,"23":25,"24":26,"25":27,"26":28,"27":29,"28":30,"29":31,"30":33,"31":35,"32":36,"33":38,"34":39,"35":41,"36":42,"37":43,"38":44,"39":45,"40":47,"41":48,"42":49,"43":50,"44":52,"45":53,"46":54,"47":55,"48":56,"49":57,"50":58,"51":59,"52":60,"53":61,"54":63,"55":64,"56":65,"57":66,"58":67,"59":68,"60":69,"62":72,"63":74,"64":75,"65":76,"66":77,"67":78,"68":79,"69":80,"70":81,"71":82,"72":83,"73":85,"74":86,"75":88,"76":92,"77":93,"78":94,"79":95,"80":96,"81":97,"82":98,"83":99,"84":101,"85":102,"86":103,"87":104,"88":105,"89":106,"90":108,"91":109,"92":112,"93":113,"94":116,"95":117,"96":118,"97":119,"98":120,"99":121,"100":122,"101":123,"102":124,"103":126,"104":127,"105":128,"106":129,"107":130,"108":131,"109":132,"110":133,"111":134,"112":135,"113":136,"114":137,"115":139,"116":140,"117":142,"118":143,"119":144,"120":145,"121":146,"122":148,"123":149,"124":150,"125":151,"126":152,"127":153,"128":154,"129":155,"130":156,"131":157,"132":158,"133":159,"134":160,"135":161,"136":162,"138":165,"139":166,"140":167,"141":168,"142":170,"143":171,"144":172,"145":173,"146":174,"147":175,"148":176,"149":177,"150":178,"151":179,"152":180,"153":181,"154":182,"155":183,"156":184,"157":185,"158":187,"159":188,"160":189,"161":190,"162":191,"163":193,"164":194,"165":196,"166":197,"167":198,"168":199,"169":200,"170":201,"171":202,"172":204,"173":205,"174":206,"175":207,"176":208,"177":209,"178":210,"179":213,"180":214,"181":215,"182":216,"183":217,"184":218,"185":219,"186":220,"187":221,"188":222,"189":223,"190":224,"191":225,"192":226,"193":227,"194":228,"195":229,"196":230,"197":231,"198":232,"199":233,"200":234,"201":235,"202":236,"203":239,"204":240,"205":241,"206":242,"207":243,"208":244,"209":245,"210":246,"211":247,"212":248,"213":249,"214":250,"215":251,"216":252,"217":254,"218":255,"219":257,"220":258,"221":259,"222":260,"223":261,"224":262,"225":263,"226":264,"227":265,"228":266,"229":267,"230":268,"231":269,"232":270,"233":271,"234":272,"235":273,"236":274,"237":275,"238":276,"239":277,"240":278,"241":279,"242":282,"243":283,"244":284,"245":285,"246":286,"247":289,"248":290,"249":291,"250":292,"251":293,"252":294,"253":295,"254":296,"255":297,"256":298,"257":299,"258":300,"259":301,"260":302,"261":303,"262":304,"263":305,"264":306,"265":307,"266":308,"267":309,"268":310,"269":311,"270":313,"271":314,"272":315,"273":316,"274":317,"275":318,"276":320,"277":321,"278":322,"279":324,"280":325,"281":326,"282":327,"283":328,"284":329,"285":330,"286":331,"287":332,"288":333,"289":334,"290":335,"291":336,"292":337,"293":338,"294":339,"295":341,"296":342,"297":343,"298":344,"299":345,"300":346,"301":348,"302":349,"303":350,"304":351,"305":352,"306":353,"307":354,"308":355,"309":356,"310":357,"311":358,"312":359,"313":360,"314":361,"315":362,"316":364,"317":365,"318":366,"319":367,"320":368,"321":369,"322":370,"323":372,"324":373,"325":374,"326":375,"327":376,"328":377,"329":378,"330":379,"331":380,"332":381,"333":382,"334":383,"335":384,"336":385,"337":386,"338":387,"339":388,"340":389,"341":390,"342":391,"343":392,"344":393,"345":394,"346":395,"347":396,"348":397,"350":399,"351":400,"352":401,"353":403,"354":404,"355":405,"356":406,"357":407,"358":408,"359":409,"360":410,"361":412,"362":413,"363":414,"364":415,"365":416,"366":417,"367":418,"368":419,"369":420,"370":421,"371":422,"372":423,"373":424,"374":425,"375":426,"376":427,"377":428,"378":429,"379":430,"380":431,"381":433,"382":435,"383":437,"384":438,"385":439,"386":440,"387":441,"388":442,"389":443,"391":445,"392":446,"393":447,"394":448,"395":449,"396":451,"397":452,"398":453,"399":454,"400":455,"401":458,"402":459,"403":460,"404":462,"405":463,"406":464,"407":465,"408":466,"409":467,"410":468,"411":469,"412":471,"413":472,"414":473,"415":474,"416":475,"417":476,"418":478,"419":479,"420":480,"421":481,"422":483,"423":484,"424":485,"425":486,"426":489,"427":490,"428":491,"429":492,"430":493,"431":494,"432":495,"433":496,"434":497,"435":498,"436":499,"437":501,"438":502,"439":503,"440":504,"441":505,"442":507,"443":508,"444":509,"445":510,"446":513,"447":518,"448":521,"449":522,"450":524,"451":529,"452":533,"453":535,"454":536,"455":540,"456":542,"457":545,"458":548,"459":549,"460":550,"461":559,"462":561,"463":563,"464":566,"465":568,"466":569,"467":572,"468":581,"469":584,"470":589,"471":590,"472":592,"473":601,"474":602,"475":612,"476":614,"477":616,"478":617,"479":621,"480":626,"481":629,"482":631,"483":632,"484":634,"485":635,"486":637,"487":642,"488":643,"489":644,"490":651,"491":658,"492":659,"493":661,"494":662,"495":663,"496":664,"497":673,"498":675,"499":676,"500":677,"501":679,"502":684,"503":685,"504":686,"505":689,"506":690,"507":692,"508":697,"509":698,"510":701,"511":702,"512":704,"513":705,"514":708,"515":709,"516":710,"517":711,"518":717,"519":718,"520":719,"521":725,"522":726,"523":727,"524":728,"525":730,"526":734,"527":736,"528":737,"529":740,"530":741,"531":742,"532":744,"533":746,"534":747,"535":748,"536":749,"537":750,"538":751,"539":754,"540":755,"541":756,"542":760,"543":767,"544":768,"545":770,"546":773,"547":781,"548":785,"549":787,"550":793,"551":794,"552":795,"553":796,"554":798,"555":800,"556":802,"557":803,"558":808,"559":809,"560":810,"561":812,"562":814,"563":816,"564":818,"565":820,"566":822,"567":823,"568":833,"569":837,"570":839,"571":840,"572":841,"573":847,"574":859,"575":862,"576":863,"577":865,"578":866,"579":869,"580":878,"581":881,"582":885,"583":887,"584":891,"585":893,"586":894,"587":895,"588":899,"589":900,"590":902,"591":903,"592":904,"593":906,"594":914,"595":917,"596":918,"597":919,"598":921,"599":925,"600":926,"601":929,"602":935,"603":937,"604":939,"605":941,"606":943,"607":944,"608":945,"609":952,"610":956,"611":957,"612":958,"613":959,"614":960,"615":964,"616":966,"617":970,"618":973,"619":975,"620":979,"621":980,"622":981,"623":983,"624":989,"625":995,"626":997,"627":999,"628":1003,"629":1004,"630":1008,"631":1009,"632":1011,"633":1013,"634":1023},{"0":7,"1":11,"2":32,"3":34,"4":37,"5":40,"6":46,"7":51,"8":62,"9":71,"10":84,"11":87,"12":89,"13":90,"14":91,"15":100,"16":107,"17":110,"18":111,"19":114,"20":115,"21":125,"22":138,"23":141,"24":147,"25":164,"26":169,"27":186,"28":192,"29":195,"30":203,"31":211,"32":212,"33":237,"34":238,"35":253,"36":256,"37":280,"38":281,"39":287,"40":288,"41":312,"42":319,"43":323,"44":340,"45":347,"46":371,"47":402,"48":411,"49":432,"50":436,"51":450,"52":456,"53":457,"54":461,"55":470,"56":477,"57":482,"58":487,"59":488,"60":500,"61":511,"62":512,"63":514,"64":515,"65":516,"66":517,"67":519,"68":525,"69":526,"70":527,"71":528,"72":531,"73":532,"74":534,"75":539,"76":541,"77":544,"78":547,"79":552,"81":557,"82":564,"83":567,"84":571,"85":574,"86":575,"87":577,"88":579,"89":580,"90":582,"91":587,"92":593,"93":596,"94":597,"95":599,"96":605,"97":609,"98":622,"99":623,"100":625,"101":630,"102":636,"103":641,"104":645,"105":646,"106":647,"107":650,"108":652,"109":654,"110":655,"111":656,"112":657,"113":665,"114":667,"115":668,"116":669,"117":674,"118":678,"119":681,"120":682,"121":683,"122":691,"123":693,"124":694,"125":695,"126":703,"127":706,"128":712,"129":714,"130":715,"131":722,"132":723,"133":724,"134":731,"135":732,"136":739,"137":743,"138":752,"139":753,"140":762,"141":765,"142":769,"143":771,"144":774,"145":776,"146":777,"147":778,"148":780,"149":782,"150":783,"151":784,"152":786,"153":788,"154":790,"155":792,"156":799,"157":801,"158":804,"159":811,"160":813,"161":825,"162":829,"163":836,"164":844,"165":848,"166":849,"167":851,"168":853,"169":854,"170":856,"171":857,"172":867,"173":868,"174":870,"175":872,"176":873,"177":874,"178":879,"179":880,"180":883,"181":884,"182":886,"183":888,"184":889,"185":892,"186":896,"187":898,"188":905,"189":907,"190":908,"191":910,"192":913,"193":915,"194":920,"195":922,"196":928,"197":930,"198":931,"199":934,"200":936,"201":938,"202":942,"203":947,"204":949,"205":950,"206":963,"207":969,"208":972,"209":978,"210":984,"211":985,"212":986,"213":987,"214":990,"215":991,"216":992,"217":994,"218":998,"219":1000,"220":1002,"221":1014,"222":1019,"223":1020,"224":1021},[73,363,434,506,520,523,530,537,538,546,551,554,556,560,565,570,573,583,594,595,598,600,603,606,607,608,615,618,619,620,627,633,639,648,653,666,670,680,687,696,716,720,721,729,735,738,745,763,766,772,806,807,817,830,832,838,845,846,850,858,860,861,864,871,875,876,877,882,890,897,901,912,916,923,932,946,954,962,967,968,971,976,982,993,1005,1006,1010,1015,1016,1022],[555,576,578,585,586,591,611,613,624,638,640,660,671,672,713,733,757,758,759,761,775,791,797,805,819,828,831,834,842,843,911,924,933,948,951,953,961,974,1017],[610,628,649,688,699,700,779,789,821,826,835,940,977,988,996,1012],[558,588,604,764,815,824,852,927,955,1001],[543,562,909],[707,827,855,965,1007],[1018]]