[{"0":0,"1":1,"2":2,"3":4,"4":5,"5":6,"6":7,"7":8,"8":10,"9":11,"10":12,"11":13,"12":14,"13":15,"14":16,"15":17,"16":18,"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":34,"32":35,"33":37,"34":38,"35":39,"36":40,"37":41,"38":42,"39":43,"40":44,"41":45,"42":46,"43":47,"44":48,"45":49,"46":50,"47":51,"48":54,"49":55,"50":57,"51":58,"52":59,"53":60,"54":61,"55":62,"56":63,"57":64,"58":65,"59":66,"60":67,"62":69,"63":70,"64":71,"65":73,"66":74,"67":75,"68":76,"69":77,"70":78,"71":79,"72":80,"73":81,"74":82,"75":83,"76":85,"77":86,"78":87,"79":88,"80":89,"81":90,"82":91,"83":92,"84":93,"85":94,"87":96,"89":99,"90":101,"91":102,"92":103,"93":104,"94":105,"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,"109":121,"110":122,"111":123,"112":124,"113":125,"114":127,"115":128,"116":129,"117":130,"118":131,"119":132,"120":133,"121":134,"122":135,"123":136,"124":137,"125":138,"126":139,"128":141,"129":142,"130":143,"131":144,"132":145,"133":146,"134":147,"135":148,"137":150,"139":152,"141":154,"142":155,"143":156,"144":157,"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":175,"161":176,"162":178,"163":179,"165":181,"166":182,"167":184,"168":186,"169":187,"170":188,"171":189,"172":190,"173":191,"174":192,"175":193,"176":194,"177":196,"178":197,"179":199,"180":200,"181":201,"182":202,"183":204,"184":205,"185":206,"186":207,"187":208,"188":209,"189":210,"191":212,"192":213,"193":214,"194":215,"195":216,"196":217,"197":218,"198":219,"199":220,"200":221,"201":222,"202":223,"203":224,"204":226,"205":227,"206":228,"207":229,"208":230,"209":232,"210":233,"211":234,"212":235,"213":236,"214":238,"215":239,"216":240,"217":241,"218":242,"219":243,"220":244,"221":245,"222":246,"223":247,"224":249,"225":250,"226":252,"227":253,"228":254,"229":255,"230":256,"231":257,"232":259,"233":260,"234":261,"235":262,"236":263,"237":264,"238":265,"239":266,"240":267,"241":268,"242":269,"243":270,"244":271,"245":272,"246":273,"247":274,"248":275,"249":276,"250":277,"251":278,"252":279,"253":280,"254":281,"255":282,"256":283,"258":285,"259":286,"260":287,"261":289,"262":290,"263":291,"264":292,"265":293,"266":294,"267":295,"268":296,"269":297,"270":298,"271":299,"272":300,"273":301,"274":303,"275":304,"276":305,"277":306,"278":308,"279":310,"280":311,"281":313,"282":314,"283":315,"284":316,"285":317,"286":318,"287":319,"288":320,"289":321,"290":322,"291":323,"292":324,"293":325,"294":326,"295":327,"296":328,"297":329,"298":330,"299":331,"300":332,"301":333,"302":334,"303":335,"304":336,"305":337,"306":338,"307":339,"308":340,"309":341,"310":342,"311":343,"312":344,"313":345,"314":346,"315":347,"316":348,"317":349,"318":350,"319":351,"320":352,"321":353,"322":354,"323":355,"324":356,"325":357,"326":358,"327":359,"328":360,"329":361,"330":362,"331":363,"332":364,"333":365,"334":366,"335":367,"336":368,"337":369,"338":370,"339":371,"341":373,"342":376,"343":377,"344":378,"345":379,"346":380,"347":381,"348":384,"349":385,"350":386,"351":387,"352":388,"353":389,"354":390,"355":391,"356":392,"357":393,"358":394,"359":395,"360":396,"361":397,"362":398,"363":399,"364":400,"365":401,"366":403,"367":404,"368":405,"369":406,"370":407,"371":408,"372":409,"373":410,"374":411,"375":412,"376":413,"377":414,"378":415,"379":416,"380":417,"381":418,"382":419,"383":420,"384":421,"386":423,"387":424,"388":425,"389":426,"390":427,"391":428,"392":429,"393":430,"394":431,"395":434,"396":435,"397":436,"398":437,"399":438,"400":439,"401":440,"402":442,"403":443,"404":444,"405":445,"406":446,"407":447,"408":449,"410":452,"411":453,"412":454,"413":455,"414":456,"415":457,"416":458,"417":459,"418":461,"419":462,"420":463,"421":464,"422":465,"423":466,"424":467,"425":468,"426":469,"427":470,"428":471,"429":472,"430":473,"431":474,"432":475,"433":476,"434":477,"435":478,"436":479,"437":480,"438":481,"439":482,"440":483,"441":485,"442":486,"443":487,"444":488,"445":489,"446":490,"447":491,"449":493,"450":494,"451":495,"452":496,"453":497,"454":498,"455":499,"456":500,"457":501,"458":503,"459":504,"460":505,"461":506,"462":508,"463":509,"464":510,"465":511,"466":512,"467":513,"468":514,"469":515,"470":516,"471":517,"472":518,"473":519,"474":520,"475":521,"476":522,"477":523,"478":524,"479":525,"480":526,"481":527,"482":528,"483":529,"484":530,"485":531,"486":532,"487":533,"488":534,"489":535,"490":536,"491":537,"492":538,"493":539,"494":540,"495":541,"496":542,"497":543,"498":544,"499":545,"500":546,"501":547,"502":548,"503":549,"504":550,"505":551,"506":552,"507":553,"508":556,"509":557,"510":559,"511":560,"512":561,"513":562,"514":563,"515":564,"516":565,"517":566,"518":567,"519":568,"520":569,"521":570,"522":571,"523":572,"524":573,"525":574,"526":575,"527":580,"528":582,"529":586,"530":594,"531":595,"532":599,"533":600,"534":602,"535":604,"536":607,"537":610,"539":615,"540":616,"541":621,"542":622,"543":627,"544":634,"545":636,"546":638,"547":641,"548":642,"549":643,"550":652,"551":659,"552":661,"553":664,"554":666,"555":679,"556":680,"557":696,"558":699,"559":700,"560":702,"561":717,"562":723,"563":728,"564":729,"565":731,"566":740,"567":750,"568":753,"569":756,"570":760,"571":761,"572":764,"573":766,"574":773,"575":777,"576":780,"577":818,"578":819,"579":823,"580":827,"581":830,"582":845,"583":847,"584":849,"585":852,"586":855,"587":859,"588":860,"589":874,"590":877,"591":880,"592":883,"593":884,"594":895,"595":898,"596":899,"597":902,"598":903,"599":908,"600":911,"601":919,"602":924,"603":933,"604":934,"605":936,"606":938,"607":940,"608":944,"609":945,"610":946,"611":951,"612":952,"613":956,"614":960,"615":961,"616":971,"617":976,"618":982,"619":984,"620":987,"621":990,"622":991,"623":995,"624":997,"625":998,"626":1004,"627":1010,"628":1011,"629":1015,"630":1016,"631":1024,"632":1025,"633":1041,"634":1042,"635":1043,"636":1045,"637":1064,"638":1075,"639":1076,"640":1082,"641":1083,"642":1084,"643":1088,"644":1090,"645":1094,"646":1097,"647":1104,"648":1108,"649":1111,"650":1115,"651":1120,"652":1132,"653":1145,"654":1147,"655":1148,"656":1149,"657":1150},{"0":3,"1":9,"2":33,"3":36,"4":52,"5":53,"6":56,"8":84,"9":97,"10":100,"11":115,"12":126,"13":158,"14":174,"15":177,"17":185,"18":195,"19":203,"20":225,"21":231,"23":248,"24":251,"25":258,"26":288,"27":302,"28":307,"29":309,"30":312,"31":374,"32":375,"33":382,"34":383,"35":402,"36":432,"37":433,"38":441,"39":448,"40":451,"41":460,"42":484,"43":502,"44":507,"45":554,"46":555,"47":558,"48":576,"49":578,"50":583,"51":585,"52":591,"53":593,"54":598,"55":606,"56":612,"57":617,"58":619,"59":620,"60":624,"61":626,"62":628,"63":629,"64":630,"65":633,"66":637,"67":647,"68":648,"69":651,"70":653,"71":656,"72":662,"73":668,"74":669,"75":676,"76":677,"77":678,"78":681,"79":684,"80":686,"81":689,"82":690,"83":693,"84":697,"85":698,"86":711,"87":713,"88":714,"89":718,"91":721,"92":724,"93":725,"94":727,"95":730,"96":732,"97":733,"98":735,"99":738,"100":739,"101":743,"102":744,"103":751,"104":767,"105":768,"106":772,"107":776,"108":782,"109":783,"110":789,"111":793,"112":795,"113":796,"114":797,"115":798,"116":801,"117":803,"118":804,"119":806,"120":808,"121":813,"122":815,"123":817,"124":820,"125":837,"127":841,"128":843,"129":861,"130":862,"131":864,"132":866,"133":867,"134":868,"135":869,"136":879,"137":885,"138":887,"139":890,"140":897,"141":900,"142":901,"143":904,"144":905,"145":907,"146":910,"147":915,"148":917,"149":921,"150":925,"151":931,"152":935,"153":947,"154":955,"155":958,"156":962,"157":964,"158":966,"159":968,"160":969,"161":975,"162":977,"163":986,"164":989,"165":992,"166":994,"167":999,"168":1002,"169":1005,"170":1009,"171":1013,"172":1020,"173":1026,"174":1029,"175":1030,"176":1032,"177":1033,"178":1038,"179":1040,"180":1048,"181":1049,"182":1055,"183":1057,"184":1059,"186":1065,"187":1066,"188":1067,"189":1068,"190":1069,"191":1070,"192":1072,"193":1073,"194":1086,"195":1087,"196":1089,"197":1091,"198":1092,"199":1096,"200":1099,"201":1107,"202":1109,"203":1117,"204":1122,"205":1123,"206":1130,"207":1133,"208":1137,"209":1138},{"0":198,"1":577,"2":579,"3":589,"4":601,"5":605,"6":609,"7":623,"9":640,"10":650,"12":658,"13":660,"14":663,"15":667,"16":672,"17":673,"18":675,"19":694,"20":704,"22":712,"23":734,"25":741,"26":742,"27":745,"28":746,"29":747,"31":749,"32":752,"33":774,"34":781,"35":784,"36":785,"37":788,"38":790,"39":792,"41":811,"42":816,"43":825,"44":828,"46":835,"47":839,"48":846,"49":853,"50":854,"51":863,"52":875,"53":889,"54":909,"55":918,"58":928,"59":932,"60":939,"61":942,"62":943,"63":959,"64":965,"65":970,"66":972,"67":974,"68":978,"69":979,"70":985,"71":993,"72":1000,"73":1001,"74":1007,"75":1014,"76":1021,"77":1023,"78":1027,"80":1037,"82":1053,"83":1058,"84":1061,"85":1071,"86":1077,"87":1081,"88":1098,"89":1101,"90":1102,"92":1112,"93":1116,"94":1126,"95":1134,"96":1135,"97":1144},{"0":584,"1":597,"2":603,"3":631,"4":639,"5":644,"6":654,"9":682,"10":687,"11":692,"12":716,"13":726,"14":757,"15":762,"17":769,"18":778,"19":786,"20":787,"21":814,"22":822,"23":824,"24":826,"25":848,"27":857,"28":865,"29":873,"30":876,"31":882,"32":906,"33":920,"34":927,"35":949,"36":967,"37":1008,"38":1018,"40":1036,"41":1044,"42":1047,"43":1093,"44":1105,"45":1124,"46":1131,"47":1139,"48":1140,"49":1141,"50":1146},{"0":590,"1":625,"2":645,"3":655,"4":665,"5":683,"6":685,"7":703,"8":705,"9":708,"10":720,"11":722,"13":754,"14":758,"16":775,"17":779,"18":812,"19":831,"20":842,"21":844,"22":858,"24":912,"26":930,"28":953,"29":988,"30":996,"31":1006,"32":1019,"33":1054,"34":1060,"35":1063,"36":1078,"37":1100,"38":1110,"40":1128},{"1":588,"2":592,"3":608,"4":613,"5":646,"6":695,"7":709,"8":715,"9":759,"10":771,"11":791,"12":800,"13":805,"14":809,"15":834,"16":881,"17":891,"18":893,"19":916,"20":937,"21":941,"22":950,"23":963,"25":1003,"26":1022,"27":1039,"28":1074,"29":1079,"31":1085,"32":1106,"33":1114,"34":1121},{"0":674,"1":688,"2":701,"3":707,"4":770,"5":799,"6":807,"7":810,"8":836,"9":856,"10":871,"11":878,"12":888,"13":894,"14":914,"15":926,"17":957,"18":973,"20":1017,"21":1050,"22":1119,"23":1127,"24":1129},{"0":596,"1":611,"2":755,"3":821,"4":829,"6":850,"7":872,"8":886,"9":892,"10":1034,"11":1056,"12":1095,"13":1113},{"1":838,"2":980,"3":983,"4":1046,"5":1051,"6":1136,"7":1142,"8":1151},{"0":618,"2":691,"3":710,"4":1143},{"0":581,"2":870,"3":954}]