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