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