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