[{"0":0,"1":1,"2":2,"3":3,"4":5,"5":7,"6":8,"7":11,"8":13,"9":14,"10":15,"11":16,"12":17,"13":18,"14":19,"15":20,"16":21,"17":22,"18":23,"19":24,"20":25,"21":26,"22":27,"23":28,"24":29,"25":30,"26":31,"27":32,"28":33,"30":35,"31":36,"32":37,"33":38,"34":39,"35":40,"36":41,"37":42,"38":43,"39":44,"40":45,"41":46,"42":47,"43":49,"44":52,"45":53,"46":54,"47":55,"48":56,"49":57,"50":58,"51":59,"52":61,"53":62,"54":63,"55":64,"56":65,"57":66,"58":67,"59":68,"60":69,"61":70,"62":71,"63":72,"64":74,"65":75,"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":88,"79":89,"80":90,"81":91,"82":92,"83":93,"84":94,"85":95,"86":96,"87":97,"88":99,"89":100,"90":101,"91":102,"92":103,"93":104,"94":105,"95":106,"96":107,"97":108,"98":109,"99":110,"100":111,"101":112,"102":113,"103":114,"104":116,"105":117,"106":118,"107":119,"108":120,"110":122,"111":123,"112":124,"113":125,"114":126,"115":127,"116":128,"117":129,"118":130,"119":131,"120":132,"121":133,"122":134,"124":136,"125":137,"126":138,"127":139,"128":140,"129":141,"130":142,"131":144,"132":145,"134":147,"136":149,"137":150,"138":151,"139":152,"140":153,"141":154,"142":155,"143":156,"144":157,"145":158,"146":159,"147":160,"148":161,"149":162,"150":163,"151":164,"152":165,"153":166,"154":167,"155":168,"156":169,"157":170,"158":171,"159":172,"160":173,"161":174,"162":175,"163":177,"164":178,"165":179,"166":180,"167":181,"168":182,"169":183,"170":185,"171":186,"172":187,"173":188,"174":189,"175":190,"176":191,"177":192,"178":193,"179":194,"180":195,"181":196,"182":197,"183":198,"184":200,"185":201,"186":202,"187":203,"188":204,"189":205,"190":206,"191":207,"192":209,"193":211,"194":212,"195":213,"196":214,"197":215,"198":216,"199":217,"200":218,"201":220,"202":221,"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":238,"219":239,"220":240,"221":241,"222":242,"223":243,"224":244,"225":245,"226":246,"227":248,"228":249,"229":250,"230":252,"231":254,"232":256,"233":257,"234":258,"235":259,"236":260,"237":261,"238":262,"239":263,"240":264,"241":265,"242":266,"243":267,"244":268,"245":269,"246":270,"247":271,"248":272,"249":273,"250":274,"251":275,"252":277,"253":278,"254":279,"255":280,"256":281,"257":282,"259":284,"260":285,"261":286,"262":287,"263":288,"264":290,"265":291,"266":292,"267":293,"268":294,"269":295,"270":296,"271":297,"272":298,"273":300,"274":301,"275":302,"276":303,"277":305,"278":306,"279":307,"280":308,"281":310,"282":311,"283":312,"284":313,"285":314,"286":315,"287":316,"289":318,"290":319,"291":320,"292":321,"293":323,"294":324,"295":325,"296":326,"297":327,"298":328,"299":329,"300":330,"301":331,"302":332,"303":333,"304":334,"305":336,"306":337,"307":338,"308":339,"310":341,"311":342,"312":343,"313":344,"314":346,"315":347,"316":349,"317":350,"318":351,"319":352,"320":353,"321":354,"322":355,"323":356,"324":357,"325":358,"326":360,"327":362,"328":363,"329":364,"330":365,"331":366,"332":367,"333":369,"334":370,"335":371,"336":372,"337":374,"338":375,"339":376,"340":377,"341":378,"342":379,"343":380,"344":381,"345":382,"346":383,"347":385,"348":386,"349":387,"350":388,"351":389,"352":390,"353":391,"354":392,"355":393,"357":395,"359":397,"361":399,"362":400,"363":401,"364":402,"365":403,"366":404,"367":406,"368":407,"369":408,"370":409,"371":410,"372":411,"373":412,"374":413,"375":414,"376":416,"377":417,"378":418,"379":419,"380":420,"381":421,"382":422,"383":423,"384":424,"385":425,"386":426,"387":427,"388":428,"390":430,"391":431,"392":432,"393":434,"394":437,"395":438,"396":439,"398":441,"399":442,"400":443,"401":444,"402":445,"403":446,"404":447,"405":448,"406":450,"407":451,"408":452,"409":453,"410":454,"411":455,"412":456,"413":457,"414":458,"416":460,"417":461,"418":462,"419":463,"420":464,"421":465,"422":466,"423":467,"424":468,"425":469,"426":470,"427":472,"428":473,"429":474,"430":475,"431":476,"432":478,"433":479,"434":481,"435":482,"436":483,"437":484,"438":485,"439":486,"440":487,"441":488,"442":489,"443":490,"444":492,"445":493,"446":494,"447":495,"448":496,"449":498,"450":499,"451":500,"452":501,"453":502,"454":503,"455":504,"456":505,"457":506,"458":507,"459":508,"460":509,"461":510,"462":513,"463":514,"464":515,"465":516,"466":517,"467":518,"468":520,"469":521,"470":522,"471":523,"472":524,"473":525,"474":526,"475":530,"476":533,"477":537,"478":538,"479":540,"480":545,"481":546,"482":547,"483":548,"484":549,"485":551,"486":553,"488":556,"489":560,"490":561,"491":564,"492":566,"493":567,"494":569,"495":570,"496":572,"497":573,"498":575,"499":576,"500":577,"501":581,"502":584,"503":589,"504":590,"505":591,"506":592,"507":598,"508":599,"509":600,"510":603,"511":604,"512":605,"513":607,"514":608,"515":611,"516":612,"517":613,"518":615,"519":617,"520":618,"521":619,"522":620,"523":621,"524":622,"525":623,"526":624,"527":627,"528":628,"529":630,"530":631,"531":633,"532":634,"533":637,"534":639,"535":640,"536":642,"537":643,"538":646,"539":648,"540":651,"541":653,"542":655,"543":656,"544":658,"545":660,"546":661,"547":663,"548":664,"549":665,"550":668,"551":675,"552":679,"553":684,"554":688,"555":689,"556":690,"557":692,"558":693,"559":696,"560":697,"561":698,"562":702,"563":704,"564":706,"565":711,"566":712,"567":717,"568":719,"569":721,"570":725,"571":726,"572":729,"573":733,"574":737,"575":739,"576":740,"577":743,"578":746,"579":748,"580":750,"581":756,"582":759,"583":763,"584":764,"585":765,"586":766,"587":768,"588":771,"589":772,"590":773,"591":774,"592":775,"593":780,"594":781,"595":784,"596":785,"597":786,"598":787,"599":789,"600":790,"601":796,"602":798,"603":799,"604":800,"605":802,"606":803,"607":806,"608":808,"609":809,"610":816,"611":817,"612":818,"613":822,"614":826,"615":827,"616":828,"617":832,"618":836,"619":839,"620":844,"621":846,"622":847,"623":848,"624":850,"625":851,"626":852,"627":853,"628":855,"629":856,"630":857,"631":859,"632":860,"633":862,"634":866,"635":869,"636":870,"637":872,"638":874,"639":875,"640":877,"641":878,"642":879,"643":882,"644":885,"645":888,"646":889,"647":890,"648":891,"649":894,"650":904,"651":907,"652":910,"653":914,"654":916,"655":919,"656":920,"657":923,"658":924,"659":926,"660":935,"661":936,"662":937,"663":939,"664":941,"665":944,"666":945,"668":948,"669":950,"670":951,"671":956,"672":957,"673":958,"674":960,"675":961,"676":962,"677":965,"678":967,"679":968,"680":972,"681":974,"682":976,"683":978,"684":981,"685":982,"686":985,"687":986,"688":987,"689":989,"690":991,"691":992,"692":996,"693":997,"694":999,"695":1000,"696":1002,"697":1003,"698":1004,"699":1005,"700":1006,"701":1007,"702":1008,"703":1012,"704":1013,"705":1021,"706":1022,"707":1023,"708":1026,"709":1028,"710":1029,"711":1032,"712":1033,"713":1036,"714":1038,"715":1041,"716":1042,"717":1050,"718":1053},{"0":4,"1":6,"2":9,"3":10,"4":12,"5":48,"6":50,"7":51,"8":60,"9":98,"10":115,"11":143,"12":176,"13":199,"14":208,"15":210,"16":219,"17":237,"18":247,"19":251,"20":253,"21":255,"22":276,"23":289,"24":299,"25":304,"26":309,"27":322,"28":345,"29":348,"30":359,"31":361,"32":368,"33":373,"34":405,"35":433,"36":435,"37":436,"38":449,"39":471,"40":477,"41":480,"42":491,"43":497,"44":511,"45":512,"46":519,"47":527,"48":529,"49":532,"50":534,"51":535,"52":541,"53":542,"54":543,"55":544,"56":552,"57":563,"58":568,"59":574,"60":579,"61":582,"62":583,"63":585,"64":586,"65":587,"66":593,"67":594,"68":596,"69":597,"70":609,"71":616,"72":629,"73":635,"74":636,"75":641,"76":644,"77":645,"78":649,"79":650,"80":652,"81":657,"82":659,"83":667,"84":669,"85":670,"86":672,"87":674,"88":676,"89":677,"90":678,"91":680,"92":682,"93":685,"94":687,"95":691,"96":694,"97":695,"98":699,"99":700,"100":701,"101":705,"102":707,"103":709,"104":714,"105":715,"106":718,"107":720,"108":724,"109":727,"110":728,"111":730,"112":731,"113":732,"114":734,"115":735,"116":741,"117":742,"118":744,"119":747,"120":751,"121":753,"122":754,"123":760,"124":762,"125":769,"126":770,"127":777,"128":778,"129":779,"130":782,"131":783,"132":788,"133":793,"134":794,"135":795,"136":797,"137":801,"138":805,"139":810,"140":811,"141":813,"142":814,"143":820,"144":821,"145":823,"146":825,"147":829,"148":830,"149":835,"150":838,"151":843,"152":854,"153":863,"154":865,"155":868,"156":873,"157":881,"158":886,"159":887,"160":892,"161":893,"162":895,"163":896,"164":898,"165":899,"166":900,"167":901,"168":903,"169":905,"170":912,"171":913,"172":915,"173":918,"174":922,"175":925,"176":927,"177":928,"178":929,"179":931,"180":933,"181":934,"182":938,"183":940,"184":942,"185":943,"186":946,"187":953,"188":954,"189":959,"190":966,"192":973,"193":975,"194":983,"195":988,"196":990,"197":993,"198":994,"199":995,"200":998,"201":1001,"202":1010,"203":1015,"204":1016,"205":1017,"206":1018,"207":1025,"208":1034,"209":1035,"210":1037,"211":1039,"212":1043,"213":1044,"214":1045,"215":1046,"216":1047,"217":1048,"218":1049,"219":1052},{"0":73,"1":184,"2":335,"3":384,"4":415,"5":531,"6":557,"7":559,"8":562,"9":571,"10":578,"11":588,"12":601,"13":602,"14":626,"15":632,"16":638,"17":647,"18":662,"19":666,"20":681,"21":683,"22":686,"23":710,"24":713,"25":716,"26":723,"27":738,"28":757,"29":761,"30":767,"31":776,"32":791,"33":792,"34":812,"35":815,"36":831,"37":834,"38":840,"39":841,"40":842,"41":849,"42":858,"43":861,"44":864,"45":867,"46":871,"47":876,"48":880,"49":883,"50":897,"51":902,"52":906,"53":908,"54":909,"55":911,"56":917,"57":921,"58":930,"59":932,"60":949,"61":952,"64":980,"65":984,"66":1009,"68":1027,"69":1040},[528,539,550,555,558,565,580,595,606,610,625,654,671,673,703,708,722,752,755,804,824,833,837,845,884,1019],{"0":614,"2":807,"3":819,"4":963,"5":977},{"0":536,"3":955,"4":969},{"2":1024,"3":1031},[964],[]]