[{"0":0,"1":1,"2":2,"3":3,"4":4,"5":5,"6":7,"7":8,"8":9,"9":10,"10":11,"12":13,"13":14,"15":16,"16":17,"17":18,"18":19,"19":20,"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":37,"35":38,"36":39,"37":40,"38":41,"39":42,"40":43,"41":44,"42":45,"43":46,"44":48,"45":49,"46":50,"47":51,"48":52,"49":53,"50":54,"51":55,"52":56,"53":57,"54":58,"55":59,"56":60,"57":62,"58":63,"59":64,"60":65,"61":66,"62":67,"63":68,"64":69,"65":70,"66":71,"67":72,"68":73,"69":74,"70":75,"71":76,"72":77,"73":78,"74":79,"75":80,"76":81,"77":83,"78":84,"79":85,"80":86,"81":87,"82":88,"83":89,"84":90,"85":91,"86":92,"87":93,"88":94,"89":95,"90":96,"91":97,"92":98,"93":99,"94":100,"95":101,"96":102,"97":103,"98":104,"99":106,"100":107,"101":108,"102":109,"103":110,"104":111,"105":112,"106":113,"107":114,"108":115,"109":116,"110":117,"111":118,"112":119,"113":120,"114":121,"115":122,"116":123,"117":124,"118":125,"119":126,"120":127,"121":128,"122":129,"123":130,"125":132,"126":133,"127":134,"128":136,"129":137,"130":138,"132":140,"133":141,"134":142,"135":143,"136":145,"137":146,"138":147,"139":148,"140":149,"141":150,"142":151,"143":152,"144":153,"145":154,"146":156,"147":157,"148":158,"149":159,"150":160,"151":161,"152":162,"153":163,"154":164,"155":165,"156":166,"157":167,"158":168,"159":169,"160":171,"161":172,"162":173,"163":174,"164":175,"165":176,"166":178,"167":179,"168":180,"169":181,"170":182,"171":183,"172":184,"173":185,"174":186,"175":187,"176":189,"177":192,"178":193,"179":194,"180":195,"181":196,"182":198,"183":200,"184":201,"185":202,"186":203,"187":204,"188":206,"189":207,"190":208,"191":209,"192":210,"193":211,"194":213,"196":215,"197":216,"198":217,"199":218,"200":219,"201":220,"202":221,"203":222,"204":223,"205":224,"206":225,"207":226,"208":227,"210":229,"211":230,"212":231,"213":233,"214":235,"215":236,"216":237,"217":239,"218":240,"219":241,"220":242,"221":243,"222":244,"223":245,"224":246,"225":247,"226":248,"227":249,"228":250,"229":251,"230":252,"231":253,"232":254,"233":256,"234":257,"235":258,"236":259,"237":260,"238":261,"239":262,"240":263,"241":264,"242":265,"243":266,"244":268,"245":269,"246":270,"247":271,"248":272,"249":273,"250":274,"251":275,"252":276,"253":277,"254":278,"255":279,"256":281,"257":282,"258":283,"259":284,"260":285,"261":286,"262":287,"264":289,"265":290,"266":291,"267":292,"268":293,"269":294,"270":295,"271":296,"272":297,"273":298,"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,"288":313,"289":314,"290":315,"291":317,"292":318,"293":319,"294":320,"295":321,"296":322,"297":323,"298":324,"299":325,"300":326,"301":328,"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":346,"319":347,"320":348,"321":349,"322":350,"323":351,"324":352,"325":353,"326":354,"327":355,"328":356,"329":357,"330":358,"331":359,"332":360,"333":361,"334":362,"335":363,"336":364,"337":365,"338":366,"339":367,"340":368,"341":369,"342":370,"343":371,"344":372,"345":373,"346":374,"347":375,"348":377,"349":379,"350":380,"351":381,"352":382,"353":383,"354":385,"355":386,"356":387,"357":388,"358":389,"359":390,"360":391,"361":392,"362":393,"363":394,"364":395,"365":396,"366":397,"367":398,"368":399,"369":400,"370":401,"371":402,"372":403,"373":404,"374":405,"375":406,"376":407,"377":408,"378":409,"379":410,"380":411,"381":412,"382":413,"383":414,"384":415,"385":416,"386":417,"387":418,"388":419,"389":420,"390":421,"391":422,"392":423,"393":424,"394":425,"395":426,"396":427,"397":428,"398":429,"399":430,"400":431,"401":432,"402":433,"403":434,"404":435,"405":436,"406":438,"407":439,"408":440,"409":441,"410":442,"411":443,"412":444,"413":445,"414":446,"415":447,"416":448,"417":449,"418":450,"419":451,"420":452,"421":453,"422":454,"423":455,"424":456,"425":457,"426":458,"427":459,"428":460,"429":461,"430":462,"431":463,"432":464,"433":465,"434":466,"435":467,"436":468,"437":469,"438":470,"439":471,"440":473,"441":474,"442":475,"443":476,"444":477,"445":478,"446":479,"447":481,"448":482,"449":483,"450":484,"451":485,"452":487,"453":488,"454":489,"455":490,"456":491,"457":492,"458":493,"459":494,"460":495,"461":497,"462":498,"463":500,"464":501,"465":502,"466":503,"467":504,"469":506,"470":507,"471":509,"472":510,"473":511,"474":512,"475":514,"476":515,"477":516,"478":517,"479":519,"480":520,"481":522,"482":523,"483":524,"484":526,"485":527,"486":528,"487":529,"488":530,"489":531,"490":532,"491":533,"492":534,"493":535,"494":536,"495":537,"496":538,"497":539,"498":540,"499":541,"500":542,"501":543,"502":544,"503":545,"504":546,"505":547,"506":548,"507":549,"508":550,"509":552,"510":553,"511":555,"512":556,"513":557,"514":559,"515":560,"516":561,"517":563,"518":564,"519":565,"520":566,"521":567,"522":569,"523":570,"524":573,"525":574,"526":575,"527":576,"528":580,"529":581,"530":584,"531":588,"532":590,"533":595,"534":596,"535":597,"536":598,"537":599,"538":602,"539":604,"540":607,"541":608,"542":611,"543":612,"544":613,"545":616,"546":618,"547":619,"548":622,"549":623,"550":624,"551":626,"552":628,"553":629,"554":630,"555":631,"556":633,"557":636,"558":638,"559":640,"560":641,"561":642,"562":643,"563":644,"564":646,"565":647,"566":649,"567":651,"568":652,"569":653,"570":654,"571":655,"572":657,"573":658,"574":665,"575":666,"576":667,"577":668,"578":669,"579":670,"580":672,"581":675,"582":679,"583":680,"584":682,"585":684,"586":686,"587":687,"588":688,"589":690,"590":692,"591":693,"592":694,"593":696,"594":697,"595":699,"596":701,"597":703,"598":704,"599":705,"600":707,"601":708,"602":710,"603":712,"604":715,"605":717,"606":719,"607":720,"608":722,"609":723,"610":726,"611":727,"612":729,"613":731,"614":732,"615":733,"616":734,"617":737,"618":742,"619":743,"620":746,"621":750,"622":751,"623":752,"624":753,"625":754,"626":755,"627":756,"628":757,"629":760,"630":762,"631":763,"632":764,"633":765,"634":766,"635":767,"636":769,"637":771,"638":772,"639":774,"640":775,"641":776,"642":781,"643":782,"644":783,"645":784,"646":785,"647":788,"648":789,"649":793,"650":794,"651":795,"652":796,"653":797,"654":798,"655":799,"656":801,"657":803,"658":806,"659":809,"660":810,"661":812,"662":813,"663":814,"664":816,"665":817,"666":818,"667":820,"668":823,"669":826,"670":827,"671":828,"672":829,"673":830,"674":832,"675":833,"676":835,"677":836,"678":840,"679":843,"680":845,"681":848,"682":853,"683":854,"684":855,"685":856,"686":859,"687":860,"688":861,"689":862,"690":863,"691":865,"692":866,"693":867,"694":868,"695":874,"696":877,"697":878,"698":880,"699":882,"700":886,"701":892,"702":893,"703":895,"704":896,"705":900,"706":903,"707":904,"708":905,"709":906,"710":907,"711":908,"712":912,"713":913,"714":916,"715":917,"716":918,"717":923,"718":924,"719":929,"720":931,"721":933,"722":935,"723":936,"724":937,"725":938,"726":939,"727":942,"728":943,"729":944,"730":946,"731":948,"732":951,"733":953,"734":955,"735":956,"736":958,"737":959,"738":960,"739":962,"740":964,"741":965,"742":972,"743":974,"744":976,"745":977,"746":978,"747":979,"748":982,"749":984,"750":986,"751":988,"752":989,"753":991,"754":996,"755":997,"756":998,"757":999,"758":1001,"759":1003,"760":1005,"761":1009,"762":1010,"763":1012,"764":1015,"765":1016,"766":1017,"767":1019,"768":1020,"769":1022,"770":1026,"771":1027,"772":1031,"773":1032,"774":1033,"775":1035,"776":1039,"777":1041,"778":1042,"779":1045,"780":1046,"781":1047,"782":1048,"783":1049,"784":1050,"785":1051,"786":1052,"787":1057,"788":1058,"789":1060,"790":1061,"791":1062,"792":1063,"793":1064,"794":1065,"795":1067,"796":1070,"797":1073,"798":1075,"799":1076,"800":1079,"801":1080,"802":1083,"803":1086,"804":1091,"805":1098,"806":1099,"807":1100,"808":1103,"809":1104,"810":1106,"811":1107,"812":1110,"813":1111,"814":1113,"815":1115,"816":1116,"817":1117,"818":1120,"819":1121,"820":1122,"821":1123,"822":1124,"823":1125,"824":1127,"825":1128,"826":1129,"827":1130,"828":1131,"829":1135,"830":1136,"831":1137,"832":1139,"833":1141,"834":1142,"835":1143,"836":1144,"837":1146,"838":1147,"839":1150},{"0":6,"1":21,"2":36,"3":47,"4":61,"5":82,"6":105,"7":135,"8":144,"9":155,"10":170,"11":177,"12":188,"13":190,"14":191,"15":197,"16":199,"17":205,"18":212,"19":232,"20":234,"21":238,"22":255,"23":267,"24":316,"25":327,"26":345,"27":376,"28":384,"29":472,"30":480,"31":486,"32":496,"33":499,"34":508,"35":513,"36":521,"37":525,"38":551,"39":554,"40":558,"41":562,"42":568,"43":571,"44":572,"45":578,"46":583,"47":585,"48":586,"49":587,"50":589,"51":592,"52":593,"53":600,"54":603,"55":605,"56":609,"57":614,"58":617,"59":620,"60":621,"61":625,"62":627,"63":632,"64":635,"65":637,"66":648,"67":650,"68":656,"69":660,"70":663,"71":674,"72":676,"73":683,"74":689,"75":691,"76":698,"77":700,"78":706,"79":709,"80":714,"81":716,"82":718,"83":721,"84":725,"85":730,"86":738,"87":740,"88":744,"89":745,"90":748,"91":758,"92":761,"93":770,"94":773,"95":778,"96":780,"97":790,"98":792,"99":800,"100":802,"101":807,"102":808,"103":815,"104":822,"105":831,"106":834,"107":837,"108":841,"109":842,"110":844,"112":849,"113":850,"114":851,"115":852,"116":857,"117":858,"118":869,"119":870,"120":871,"121":872,"123":879,"124":887,"125":891,"126":897,"127":901,"128":909,"129":914,"130":919,"131":920,"132":922,"133":925,"134":932,"135":934,"136":940,"137":941,"138":945,"139":947,"140":949,"141":952,"142":957,"143":961,"144":963,"145":966,"146":967,"147":968,"148":969,"149":970,"150":973,"151":980,"152":981,"153":983,"154":985,"155":987,"156":990,"157":992,"158":993,"159":994,"160":995,"161":1000,"162":1002,"163":1008,"164":1011,"165":1014,"166":1021,"167":1025,"168":1028,"169":1029,"170":1030,"171":1034,"172":1036,"173":1037,"174":1038,"175":1040,"176":1053,"177":1055,"178":1056,"180":1071,"181":1074,"182":1081,"183":1082,"184":1084,"185":1088,"186":1089,"187":1093,"188":1094,"189":1095,"190":1096,"191":1101,"192":1102,"193":1105,"194":1108,"195":1109,"196":1112,"197":1114,"198":1118,"199":1119,"200":1126,"201":1132,"202":1133,"203":1138,"204":1140,"205":1148,"206":1149},{"0":280,"1":378,"2":437,"3":518,"4":591,"5":606,"6":610,"7":634,"8":639,"9":671,"10":677,"11":678,"12":681,"13":685,"14":695,"15":702,"16":711,"17":713,"18":728,"19":735,"20":741,"21":749,"22":777,"23":786,"24":787,"25":804,"26":805,"27":819,"28":825,"29":838,"30":839,"31":864,"32":875,"33":885,"34":889,"35":890,"36":894,"37":898,"39":902,"41":921,"42":928,"43":930,"44":954,"45":971,"46":1007,"47":1023,"48":1024,"49":1043,"50":1044,"51":1066,"52":1069,"53":1077,"54":1087,"55":1090,"56":1092,"57":1151},{"0":582,"1":615,"2":645,"3":661,"4":662,"5":673,"6":736,"7":739,"8":791,"9":821,"10":915,"11":926,"12":950,"13":1004,"15":1054,"16":1068,"17":1078,"18":1097,"19":1145},{"0":664,"3":779,"4":873,"6":883,"8":975,"9":1018,"10":1072},{"2":594,"3":659},[]]