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