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