[{"1":1,"2":2,"3":3,"4":4,"5":5,"6":6,"7":7,"8":8,"9":9,"10":11,"11":12,"12":13,"13":15,"14":16,"15":17,"17":19,"18":20,"19":21,"20":22,"21":23,"22":24,"23":25,"24":26,"25":27,"26":28,"27":29,"28":30,"29":31,"30":32,"31":33,"32":34,"33":35,"34":36,"35":37,"36":38,"37":39,"38":40,"39":41,"40":42,"41":43,"42":44,"43":45,"44":46,"45":47,"46":48,"47":49,"48":50,"49":51,"50":52,"51":53,"52":54,"53":55,"54":56,"55":57,"56":58,"57":59,"58":61,"59":62,"60":63,"61":64,"63":66,"64":67,"65":68,"66":69,"67":70,"68":71,"69":72,"70":73,"71":74,"72":75,"73":76,"74":77,"75":78,"76":79,"77":80,"78":81,"79":83,"80":84,"81":85,"83":88,"84":90,"85":91,"86":92,"87":93,"88":94,"89":96,"90":97,"91":98,"92":99,"93":100,"94":101,"95":102,"96":103,"97":104,"98":105,"100":109,"101":110,"102":111,"103":112,"104":113,"105":114,"106":116,"107":117,"108":118,"109":119,"110":120,"111":121,"112":122,"113":123,"114":125,"116":127,"117":128,"118":129,"119":130,"120":131,"122":133,"123":134,"124":135,"125":137,"126":138,"127":139,"128":140,"129":142,"130":143,"131":144,"132":145,"133":146,"134":147,"135":148,"136":149,"137":151,"138":152,"139":153,"140":154,"141":155,"142":156,"144":158,"145":159,"146":160,"147":161,"148":162,"149":163,"150":164,"151":165,"152":166,"153":167,"154":168,"155":169,"156":170,"157":171,"158":172,"159":173,"160":174,"161":175,"162":176,"163":177,"164":178,"166":180,"167":181,"168":182,"169":183,"170":184,"171":185,"172":186,"173":187,"174":188,"175":189,"176":190,"178":192,"179":193,"180":194,"181":195,"182":196,"183":197,"184":198,"186":200,"187":203,"188":204,"190":206,"191":207,"192":208,"193":209,"194":211,"195":212,"196":213,"197":214,"198":215,"199":217,"200":218,"201":219,"202":220,"203":222,"204":223,"205":224,"206":225,"207":226,"208":227,"209":228,"210":229,"211":230,"212":231,"213":232,"214":233,"215":234,"216":235,"217":236,"218":237,"219":238,"220":239,"221":240,"222":241,"223":242,"224":243,"225":244,"226":246,"227":247,"228":248,"229":249,"230":250,"231":251,"232":252,"233":253,"234":254,"235":255,"236":256,"237":257,"238":258,"239":259,"240":260,"241":262,"243":264,"244":265,"245":266,"246":267,"247":268,"248":269,"249":270,"250":271,"251":273,"252":274,"254":276,"255":277,"256":280,"257":281,"258":282,"259":283,"260":284,"261":285,"262":286,"263":287,"264":288,"265":289,"266":290,"267":291,"268":292,"269":293,"270":294,"271":295,"272":296,"273":297,"274":299,"275":300,"276":301,"277":302,"278":303,"279":304,"280":305,"281":306,"282":307,"283":308,"284":309,"285":310,"286":311,"287":312,"289":315,"290":316,"291":317,"292":318,"293":319,"294":320,"295":321,"296":322,"297":323,"298":324,"299":325,"300":326,"301":327,"302":329,"303":330,"304":331,"305":332,"306":333,"307":334,"308":335,"309":336,"310":337,"311":338,"312":339,"313":340,"314":341,"315":342,"316":343,"317":344,"318":345,"319":346,"320":347,"321":348,"322":349,"323":350,"324":351,"325":352,"326":354,"327":355,"328":356,"329":357,"330":358,"331":360,"332":361,"333":362,"334":363,"335":364,"336":365,"337":366,"338":367,"339":368,"340":369,"341":370,"342":371,"343":372,"344":374,"345":375,"346":376,"347":377,"348":378,"349":379,"350":380,"351":381,"352":382,"353":384,"354":385,"355":386,"356":388,"357":389,"358":391,"359":392,"360":393,"361":394,"362":395,"363":396,"364":397,"365":398,"366":399,"367":400,"368":401,"369":402,"370":403,"371":404,"372":405,"373":406,"374":407,"375":408,"376":409,"377":410,"378":411,"379":412,"380":413,"381":414,"382":415,"383":416,"384":417,"385":418,"386":419,"387":420,"388":421,"389":422,"390":423,"391":424,"392":425,"393":426,"394":427,"395":428,"396":429,"398":431,"400":433,"401":434,"402":435,"403":436,"404":437,"405":438,"406":439,"407":440,"408":441,"409":442,"410":443,"411":444,"412":445,"413":446,"414":447,"415":448,"416":449,"417":450,"418":451,"419":453,"420":454,"421":455,"422":456,"423":457,"424":458,"425":459,"426":461,"427":462,"428":463,"429":464,"430":465,"431":466,"432":467,"433":468,"434":469,"435":470,"436":471,"437":472,"438":473,"439":474,"440":475,"441":476,"442":477,"443":478,"444":479,"445":480,"446":481,"447":482,"448":484,"449":485,"450":486,"451":487,"452":488,"453":490,"454":491,"455":492,"456":494,"457":495,"458":496,"459":497,"460":498,"461":499,"462":500,"463":501,"464":502,"465":503,"466":504,"467":505,"468":506,"469":507,"470":508,"471":510,"472":511,"473":512,"474":519,"475":520,"476":521,"477":522,"478":523,"479":524,"480":526,"481":539,"482":545,"483":551,"484":552,"485":555,"486":556,"487":561,"488":564,"489":573,"490":581,"491":585,"492":587,"493":592,"494":593,"495":605,"496":606,"497":607,"498":610,"499":612,"500":615,"501":620,"502":621,"503":622,"504":625,"505":633,"506":635,"507":638,"508":646,"509":657,"510":659,"511":665,"512":668,"513":673,"514":676,"515":678,"516":680,"517":681,"518":686,"519":687,"520":688,"521":692,"522":702,"523":704,"524":708,"525":712,"526":717,"527":718,"528":719,"529":722,"530":725,"531":730,"532":733,"533":736,"534":742,"535":745,"536":751,"537":753,"538":759,"539":762,"540":767,"541":769,"542":771,"543":772,"544":773,"545":775,"546":776,"547":778,"548":779,"549":782,"550":786,"551":794,"552":804,"553":805,"554":806,"555":808,"556":811,"557":817,"558":818,"559":824,"560":826,"561":831,"562":832,"563":833,"564":838,"565":852,"566":854,"567":858,"568":860,"569":864,"570":866,"571":867,"572":870,"573":874,"574":877,"575":878,"576":891,"577":892,"578":896,"579":899,"580":902,"581":905,"582":906,"583":909,"584":910,"585":911,"586":913,"587":914,"588":924,"589":928,"590":932,"591":933,"592":934,"593":941,"594":951,"595":952,"596":953,"597":956,"598":959,"599":961,"600":964,"601":970,"602":978,"603":979,"604":980,"605":988,"606":991,"607":993,"608":999,"609":1002,"610":1004,"611":1005,"612":1006,"613":1007,"614":1010,"615":1011,"616":1015,"617":1018,"618":1022},{"0":14,"1":60,"2":82,"3":87,"4":89,"5":95,"6":106,"7":107,"8":115,"9":124,"10":141,"11":150,"12":201,"13":202,"14":216,"15":245,"16":261,"17":272,"18":278,"19":279,"20":298,"21":313,"22":328,"23":353,"24":359,"25":373,"26":383,"27":387,"28":390,"29":452,"30":460,"31":483,"32":493,"33":509,"34":513,"35":517,"36":525,"37":527,"38":528,"39":530,"40":531,"41":535,"42":537,"43":538,"44":542,"45":544,"46":546,"47":548,"48":549,"49":553,"50":554,"51":557,"52":563,"53":567,"54":571,"55":572,"56":576,"57":577,"58":582,"59":584,"60":588,"61":589,"62":590,"63":603,"64":609,"65":611,"66":616,"67":618,"68":623,"69":624,"70":626,"71":630,"72":631,"73":641,"74":645,"75":649,"76":650,"77":653,"78":655,"79":656,"80":664,"81":666,"83":670,"84":671,"85":674,"86":675,"87":677,"88":683,"89":689,"90":690,"91":693,"92":696,"93":699,"94":700,"95":701,"96":703,"97":709,"98":715,"99":716,"100":721,"101":723,"102":726,"103":728,"104":729,"105":731,"106":735,"107":739,"108":750,"109":752,"110":754,"111":755,"112":757,"113":758,"114":763,"115":764,"116":765,"117":766,"118":783,"119":784,"120":787,"121":789,"122":790,"123":791,"124":793,"125":797,"126":801,"127":807,"128":810,"129":815,"130":819,"131":820,"132":821,"133":822,"134":823,"135":828,"136":834,"137":839,"138":840,"139":841,"140":844,"141":845,"142":850,"143":851,"144":861,"145":871,"146":872,"147":873,"148":876,"149":881,"150":882,"151":883,"152":885,"153":886,"154":889,"155":894,"157":898,"158":904,"159":915,"160":919,"161":920,"162":922,"163":926,"164":944,"165":945,"166":946,"167":949,"168":954,"169":960,"170":965,"171":967,"172":971,"173":972,"174":974,"175":976,"176":981,"177":982,"178":984,"179":987,"180":989,"181":990,"182":994,"183":998,"184":1000,"185":1003,"186":1009,"187":1013,"188":1014,"189":1023},{"0":10,"1":136,"2":210,"3":221,"4":489,"5":533,"6":536,"7":540,"8":543,"9":547,"10":562,"11":568,"12":569,"13":575,"14":579,"15":580,"16":597,"17":598,"18":601,"19":602,"20":619,"21":629,"22":632,"23":634,"24":642,"25":644,"26":651,"27":660,"28":661,"29":679,"30":682,"31":685,"32":713,"33":720,"34":734,"35":737,"36":747,"38":770,"39":777,"40":785,"41":792,"42":796,"43":800,"44":802,"45":809,"46":814,"47":816,"48":825,"49":827,"50":829,"51":830,"52":836,"53":843,"54":846,"55":853,"56":887,"57":888,"59":893,"60":901,"61":917,"62":923,"63":925,"64":935,"65":936,"66":937,"67":948,"68":950,"69":955,"70":962,"71":968,"72":969,"73":975,"74":986,"75":995,"76":1001,"77":1017,"78":1020},[514,515,534,541,558,559,565,566,578,586,604,614,617,640,647,652,662,691,694,732,741,743,748,749,774,788,798,835,837,842,847,849,855,857,865,875,884,895,907,927,929,938,942,943,996,1021],{"0":596,"1":600,"2":627,"4":639,"5":672,"6":684,"7":695,"8":697,"9":698,"10":705,"11":707,"12":710,"13":714,"14":724,"15":761,"16":768,"17":799,"18":803,"19":848,"20":856,"21":859,"22":908,"24":940,"25":966,"26":983,"27":985},{"1":518,"2":529,"3":560,"4":591,"5":595,"6":599,"7":628,"9":658,"10":740,"11":744,"12":760,"13":781,"14":813,"15":879,"16":900,"17":921,"18":930,"19":947,"20":958,"21":992,"22":1019},{"1":570,"2":574,"4":594,"6":780,"7":868,"8":916,"9":918,"10":997,"11":1008},{"0":706,"1":738,"2":746,"3":795,"5":869,"7":903,"8":939,"9":963,"11":1012},{"0":550,"2":613,"3":637,"6":862,"7":863},{"1":912},[]]