[{"0":0,"1":1,"2":3,"3":4,"6":8,"7":10,"8":11,"9":13,"10":14,"11":15,"12":16,"14":18,"15":19,"16":20,"17":22,"18":24,"19":27,"20":28,"21":29,"22":31,"23":32,"24":33,"25":34,"26":35,"28":37,"29":38,"30":39,"31":40,"32":41,"33":42,"34":43,"35":44,"36":45,"37":47,"38":49,"39":50,"40":51,"41":52,"42":53,"43":54,"44":55,"45":56,"46":57,"47":58,"48":59,"49":61,"50":62,"51":64,"52":65,"53":66,"54":67,"55":68,"56":69,"57":70,"58":71,"59":72,"60":73,"61":74,"62":76,"63":77,"64":78,"65":80,"66":81,"67":83,"68":84,"69":85,"70":86,"71":87,"72":88,"73":90,"74":91,"75":92,"76":93,"77":94,"78":95,"79":96,"80":98,"81":99,"82":100,"83":101,"84":102,"85":103,"86":104,"87":105,"88":106,"89":107,"90":109,"91":110,"92":111,"93":112,"94":113,"95":114,"96":115,"97":116,"98":117,"99":118,"100":119,"101":120,"102":121,"103":122,"104":123,"105":124,"106":125,"107":126,"108":127,"109":128,"110":129,"111":130,"112":131,"113":132,"114":134,"115":136,"116":138,"117":140,"118":141,"119":142,"120":143,"121":144,"122":146,"123":147,"124":148,"125":149,"126":151,"127":152,"128":154,"129":155,"130":156,"131":157,"132":158,"133":159,"134":160,"135":161,"136":163,"137":165,"138":166,"139":167,"140":168,"141":169,"142":170,"143":171,"144":172,"145":174,"146":176,"147":177,"148":178,"149":180,"150":181,"151":182,"152":184,"153":185,"154":186,"155":187,"156":188,"157":189,"158":190,"159":191,"160":195,"161":196,"162":197,"163":198,"164":199,"165":200,"166":202,"167":203,"168":204,"169":207,"170":210,"171":213,"172":214,"173":215,"174":218,"175":219,"176":220,"177":223,"178":224,"179":225,"180":226,"181":227,"182":228,"183":229,"184":230,"185":231,"186":232,"187":233,"188":234,"189":235,"190":236,"191":237,"192":238,"193":240,"194":241,"195":242,"196":244,"197":245,"198":246,"199":247,"200":248,"201":249,"202":251,"203":252,"204":253,"205":254,"206":255,"207":257,"208":258,"209":260,"210":261,"211":263,"212":264,"213":265,"214":266,"215":267,"216":269,"217":272,"218":273,"219":274,"220":275,"221":277,"222":278,"223":279,"224":280,"225":281,"226":282,"227":283,"228":285,"229":286,"230":287,"231":288,"232":289,"233":290,"234":291,"235":292,"236":293,"237":295,"238":296,"239":297,"240":298,"241":299,"242":301,"243":303,"245":305,"246":306,"247":308,"248":309,"249":310,"250":311,"251":312,"252":314,"253":317,"254":318,"255":319,"256":320,"257":321,"258":322,"260":325,"261":326,"262":327,"263":328,"264":329,"265":330,"266":331,"267":333,"268":334,"269":335,"270":336,"271":338,"272":339,"273":340,"274":341,"275":342,"276":343,"277":344,"278":345,"279":346,"280":347,"281":348,"282":349,"283":350,"284":352,"285":353,"286":354,"287":355,"288":359,"289":361,"290":362,"291":363,"292":364,"293":367,"294":368,"295":370,"296":380,"297":383,"298":384,"299":385,"300":387,"301":388,"302":393,"303":394,"304":395,"305":396,"306":398,"307":399,"308":400,"309":401,"310":402,"311":403,"312":405,"313":407,"314":408,"315":409,"316":410,"317":411,"318":412,"319":413,"320":415,"321":416,"322":418,"323":419,"324":420,"325":422,"326":423,"327":426,"328":427,"329":428,"330":429,"331":431,"333":434,"334":435,"335":436,"336":437,"337":438,"338":439,"339":441,"340":442,"341":443,"342":444,"343":445,"344":446,"345":447,"346":448,"347":449,"348":450,"349":451,"350":454,"351":455,"352":456,"353":457,"354":458,"355":459,"356":462,"357":463,"358":464,"359":465,"360":467,"361":468,"362":469,"363":470,"364":471,"365":472,"366":473,"367":474,"368":475,"369":476,"370":477,"371":478,"372":479,"373":481,"374":482,"375":484,"376":485,"377":486,"378":487,"379":488,"380":489,"381":490,"382":493,"383":495,"384":497,"385":498,"386":499,"387":500,"388":501,"389":502,"390":503,"391":504,"392":505,"393":506,"394":507,"395":509,"396":510,"397":511,"398":512,"399":513,"400":514,"401":515,"402":516,"403":517,"404":518,"405":520,"406":522,"407":523,"408":526,"409":527,"410":528,"411":529,"412":531,"413":532,"414":533,"415":534,"416":536,"417":538,"418":539,"419":540,"420":542,"421":543,"422":545,"423":546,"424":548,"425":552,"426":553,"427":554,"428":556,"429":557,"430":559,"431":560,"432":561,"433":563,"434":564,"435":565,"436":566,"437":568,"438":570,"439":573,"440":575,"441":581,"442":582,"443":583,"444":595,"445":596,"446":598,"447":599,"448":600,"449":601,"450":602,"451":604,"452":606,"453":607,"454":608,"455":610,"456":613,"457":614,"458":615,"459":617,"460":618,"461":623,"462":624,"463":634,"464":635,"465":636,"466":637,"467":641,"468":643,"469":646,"470":650,"471":651,"472":652,"473":656,"474":661,"475":662,"476":666,"477":668,"478":669,"479":670,"480":680,"481":682,"482":687,"483":688,"484":689,"485":690,"486":691,"487":692,"488":693,"489":694,"490":697,"491":698,"492":701,"493":702,"494":706,"495":707,"496":709,"497":710,"498":713,"499":714,"500":715,"501":719,"502":723,"503":729,"504":731,"505":737,"506":738,"507":740,"508":741,"509":743,"510":746,"511":748,"512":753,"513":756,"514":757,"515":761,"516":763,"517":764,"518":766,"519":767,"520":768,"521":771,"522":775,"523":777,"524":781,"525":785,"526":786,"527":790,"528":793,"529":794,"530":796,"531":797,"532":801,"533":802,"534":803,"535":804,"536":806,"537":808,"538":812,"539":814,"540":817,"541":819,"542":821,"543":822,"544":823,"545":829,"546":831,"547":832,"548":838,"549":839,"550":844,"551":847,"552":849,"553":861,"554":862,"555":863,"556":864,"557":866,"558":869,"559":870,"560":875,"561":880,"562":882,"563":884,"564":888,"565":889,"566":895,"567":896,"568":897,"569":907,"570":914,"571":917,"572":919,"573":921,"574":922,"575":925,"576":929,"577":935,"578":936,"579":937,"580":938,"581":947,"582":948,"583":949,"584":950,"585":952,"586":955,"587":956,"588":957,"589":960,"590":962,"591":965,"592":970,"593":975,"594":976,"595":977,"596":980,"597":981,"598":983,"599":986,"600":992,"601":998,"602":1000,"603":1001,"604":1003,"605":1007,"606":1008,"607":1010,"608":1013,"609":1015,"610":1017,"611":1018,"612":1022,"613":1023,"614":1024,"615":1030,"616":1031,"617":1032,"618":1033,"619":1037,"620":1039,"621":1044,"622":1046,"623":1049,"624":1052,"625":1055,"626":1057,"627":1059,"628":1064,"629":1066,"630":1069,"631":1072,"632":1073,"633":1081,"634":1088,"635":1092,"636":1101,"637":1104,"638":1105,"639":1108,"640":1112,"641":1114,"642":1115,"643":1118,"644":1119,"645":1120,"646":1123,"647":1124,"648":1126,"649":1130,"650":1134,"651":1138,"652":1149},{"0":2,"1":7,"2":9,"3":12,"4":21,"5":23,"6":25,"7":26,"8":30,"9":48,"10":60,"11":63,"12":75,"13":79,"14":89,"15":97,"16":108,"17":133,"18":135,"19":137,"20":139,"21":145,"22":150,"23":153,"24":162,"25":164,"26":173,"27":179,"28":183,"29":192,"30":193,"31":194,"32":201,"33":205,"34":206,"35":208,"36":209,"37":211,"38":212,"39":216,"40":217,"41":221,"42":222,"43":239,"44":243,"45":250,"46":256,"47":259,"48":262,"49":268,"50":270,"51":271,"52":276,"53":284,"54":294,"55":300,"56":302,"57":307,"58":315,"59":316,"60":323,"61":332,"62":337,"63":351,"64":356,"65":358,"66":360,"67":365,"68":366,"69":369,"70":372,"71":373,"72":374,"73":375,"74":376,"75":377,"76":378,"77":379,"78":381,"79":382,"80":386,"81":390,"82":391,"83":392,"84":397,"85":404,"86":406,"87":414,"88":417,"89":421,"90":424,"91":425,"92":430,"93":433,"94":452,"95":453,"96":460,"97":461,"98":466,"99":480,"100":483,"101":491,"102":492,"103":494,"104":496,"105":519,"106":521,"107":524,"108":525,"109":530,"110":535,"111":537,"112":541,"113":544,"114":547,"115":549,"116":550,"117":551,"118":555,"119":558,"120":562,"121":567,"122":569,"123":571,"124":572,"125":576,"126":578,"127":585,"128":589,"129":590,"130":591,"131":592,"132":593,"133":594,"134":597,"135":605,"136":612,"137":616,"138":620,"139":622,"140":625,"141":627,"142":628,"143":630,"144":631,"145":633,"146":638,"147":639,"149":645,"150":657,"151":660,"152":673,"153":674,"154":675,"155":678,"156":679,"157":681,"158":686,"159":695,"160":696,"161":700,"162":703,"163":705,"164":717,"165":718,"166":722,"167":724,"168":725,"169":727,"170":730,"171":734,"172":735,"173":736,"174":739,"175":742,"176":745,"177":749,"178":750,"179":754,"180":760,"181":765,"182":770,"183":772,"184":773,"185":774,"186":776,"187":780,"188":782,"189":783,"190":784,"191":787,"192":789,"193":792,"194":795,"195":800,"196":805,"197":810,"198":811,"199":815,"200":820,"201":824,"202":827,"203":828,"204":830,"205":837,"206":840,"207":841,"208":842,"209":843,"210":848,"211":851,"212":852,"213":853,"214":855,"215":867,"216":868,"217":872,"218":873,"219":874,"220":876,"221":877,"222":881,"223":885,"224":887,"225":891,"226":893,"227":902,"228":906,"229":908,"230":909,"231":910,"232":913,"233":915,"234":918,"235":920,"236":923,"237":924,"238":928,"239":931,"240":934,"241":941,"242":942,"243":944,"244":954,"245":958,"246":959,"247":961,"248":963,"249":966,"250":969,"251":971,"252":973,"253":974,"254":982,"255":984,"256":985,"257":988,"258":990,"259":991,"260":995,"261":1004,"262":1005,"263":1006,"264":1012,"265":1025,"266":1026,"267":1027,"268":1029,"269":1038,"270":1040,"271":1041,"272":1047,"273":1048,"274":1050,"275":1051,"276":1058,"277":1060,"278":1065,"279":1067,"280":1068,"281":1071,"282":1074,"283":1075,"284":1079,"285":1082,"286":1087,"287":1089,"288":1090,"289":1091,"290":1094,"291":1096,"292":1097,"293":1099,"294":1107,"295":1109,"296":1113,"297":1122,"298":1125,"299":1128,"300":1131,"301":1133,"303":1137,"304":1143,"305":1144,"306":1145,"307":1146,"308":1147,"309":1150,"310":1151},{"0":46,"1":82,"2":175,"3":313,"4":357,"5":371,"6":389,"7":440,"8":508,"9":574,"10":577,"11":586,"12":587,"13":588,"14":603,"15":609,"16":611,"17":619,"18":626,"19":632,"20":648,"21":649,"22":653,"23":654,"24":655,"25":667,"26":671,"27":672,"28":676,"29":683,"30":685,"31":704,"32":711,"33":712,"34":720,"35":728,"36":732,"37":744,"38":752,"39":779,"40":788,"41":807,"42":809,"43":818,"44":825,"45":834,"46":835,"47":836,"48":845,"49":846,"50":857,"51":859,"52":865,"53":871,"54":879,"55":883,"56":886,"57":890,"58":898,"59":899,"60":901,"61":903,"62":911,"63":912,"64":916,"65":927,"66":932,"67":939,"68":940,"69":943,"70":945,"71":946,"72":951,"73":953,"74":964,"75":967,"76":968,"77":978,"78":979,"79":987,"80":994,"81":996,"82":999,"83":1002,"84":1016,"85":1019,"86":1020,"87":1021,"88":1028,"89":1034,"90":1035,"91":1036,"92":1042,"93":1043,"94":1045,"95":1053,"96":1054,"97":1061,"98":1062,"99":1063,"101":1076,"102":1077,"103":1085,"104":1093,"105":1095,"106":1098,"107":1102,"108":1110,"109":1121,"110":1135,"111":1139,"112":1142,"113":1148},{"0":579,"1":584,"2":647,"3":658,"4":659,"5":663,"6":664,"7":665,"8":699,"9":708,"10":716,"11":726,"12":755,"13":758,"14":762,"15":778,"17":799,"18":813,"19":826,"20":833,"21":856,"22":858,"23":860,"25":894,"26":900,"27":904,"28":905,"29":930,"30":933,"31":993,"32":997,"33":1009,"34":1056,"35":1080,"36":1083,"37":1084,"38":1086,"39":1103,"40":1106,"41":1116,"42":1117,"43":1127,"44":1129,"45":1140,"46":1141},{"1":642,"2":644,"3":677,"4":684,"5":721,"6":733,"7":751,"8":769,"9":791,"10":816,"11":850,"12":854,"13":878,"14":972,"15":989,"16":1078,"17":1132},{"0":580,"1":621,"3":759,"4":926,"5":1014},{"1":1100,"2":1111}]