[{"1":1,"2":2,"4":5,"5":6,"6":7,"7":8,"8":9,"9":10,"10":11,"11":12,"12":13,"13":14,"14":15,"15":16,"16":17,"17":18,"18":19,"19":20,"20":22,"21":24,"22":27,"23":28,"24":29,"25":30,"26":31,"27":32,"28":33,"29":34,"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":50,"45":51,"46":52,"47":53,"50":56,"51":57,"52":58,"53":59,"57":63,"58":64,"59":65,"60":66,"61":67,"62":68,"63":69,"64":72,"65":73,"66":74,"68":77,"69":78,"70":79,"71":80,"72":81,"73":82,"74":83,"76":85,"77":87,"78":90,"79":91,"81":93,"82":95,"83":96,"84":97,"85":98,"86":100,"87":101,"88":103,"89":104,"90":105,"91":107,"92":108,"93":109,"94":110,"95":111,"96":112,"97":113,"98":114,"99":116,"100":117,"101":118,"102":119,"103":120,"104":121,"105":122,"106":125,"107":126,"108":127,"109":128,"110":129,"111":130,"113":132,"114":133,"115":134,"116":135,"117":136,"118":137,"120":139,"121":140,"122":141,"123":142,"124":143,"125":144,"126":145,"127":146,"128":147,"129":148,"130":149,"131":150,"133":152,"134":154,"135":155,"136":157,"137":158,"140":161,"141":162,"142":163,"143":164,"144":165,"145":166,"146":167,"147":168,"148":169,"149":170,"150":171,"151":172,"152":173,"153":174,"154":175,"155":176,"156":178,"157":179,"158":180,"159":181,"161":183,"162":184,"163":185,"164":187,"165":188,"166":189,"167":190,"168":191,"170":193,"171":194,"172":195,"173":196,"174":197,"175":198,"176":199,"177":202,"178":203,"179":205,"180":206,"181":207,"182":208,"183":210,"184":211,"185":213,"186":214,"187":216,"189":218,"190":219,"191":220,"192":222,"193":224,"195":226,"196":228,"197":229,"198":230,"199":231,"200":232,"201":233,"202":236,"203":238,"204":239,"205":240,"206":241,"207":243,"208":244,"209":245,"210":246,"211":248,"212":249,"213":250,"214":252,"215":253,"216":254,"217":256,"218":257,"219":259,"220":260,"221":261,"222":262,"223":263,"224":264,"225":265,"226":266,"227":267,"228":268,"229":269,"230":271,"231":272,"232":273,"233":274,"234":277,"235":278,"236":279,"237":280,"238":281,"239":283,"240":284,"241":285,"242":286,"243":287,"244":288,"246":290,"247":291,"248":292,"250":294,"251":295,"252":296,"253":298,"254":299,"255":300,"256":301,"257":302,"258":303,"259":304,"261":306,"262":307,"263":308,"264":309,"265":310,"266":311,"267":312,"268":313,"269":314,"270":315,"271":316,"272":317,"273":319,"274":320,"275":321,"276":322,"277":323,"280":326,"281":327,"282":328,"283":329,"284":330,"285":331,"286":332,"287":333,"288":334,"289":335,"290":336,"291":337,"292":338,"294":340,"295":341,"296":342,"297":343,"299":345,"300":346,"301":347,"302":348,"303":349,"304":350,"305":351,"306":352,"307":353,"308":354,"309":355,"310":356,"311":358,"312":359,"313":360,"314":361,"315":362,"316":363,"317":365,"318":366,"319":367,"320":368,"321":369,"322":370,"323":371,"324":372,"326":374,"327":375,"328":376,"329":377,"330":378,"331":379,"332":380,"333":381,"334":382,"335":383,"336":384,"337":385,"338":387,"339":388,"340":389,"341":390,"342":391,"343":392,"344":393,"345":395,"346":396,"347":397,"348":398,"349":399,"350":400,"351":401,"352":402,"353":404,"354":405,"355":406,"356":407,"357":409,"358":410,"359":411,"360":412,"361":413,"362":414,"363":415,"364":416,"365":417,"368":420,"369":421,"370":423,"372":425,"373":426,"375":428,"376":429,"377":430,"378":431,"379":434,"380":435,"381":436,"382":437,"383":438,"384":439,"385":440,"386":441,"387":442,"388":443,"389":444,"390":445,"391":446,"392":447,"393":448,"394":449,"395":450,"398":454,"399":455,"400":456,"401":457,"402":458,"403":459,"404":460,"405":461,"406":462,"407":463,"408":464,"409":465,"410":466,"411":467,"415":471,"416":472,"417":474,"418":475,"419":476,"420":477,"421":478,"422":480,"423":481,"424":482,"425":483,"426":486,"427":487,"429":489,"430":490,"431":491,"432":492,"434":494,"435":497,"436":498,"437":499,"438":500,"440":502,"441":503,"442":504,"443":506,"444":508,"445":511,"446":512,"447":513,"448":514,"449":515,"450":516,"451":517,"452":518,"453":519,"454":521,"455":524,"456":525,"457":526,"458":527,"459":528,"460":529,"461":530,"462":531,"463":532,"464":533,"465":534,"466":535,"467":536,"468":537,"469":538,"470":539,"471":540,"472":541,"473":542,"474":543,"475":544,"476":546,"477":547,"478":548,"479":549,"480":550,"481":552,"482":553,"483":554,"484":555,"485":556,"486":557,"487":558,"488":559,"489":560,"490":561,"491":562,"492":563,"493":564,"494":565,"495":567,"496":568,"497":570,"498":572,"499":573,"500":574,"501":575,"502":576,"503":580,"504":581,"505":582,"506":583,"507":585,"508":586,"509":587,"510":596,"511":597,"512":598,"513":600,"514":605,"515":610,"516":611,"517":612,"518":613,"519":614,"520":617,"521":620,"522":622,"523":625,"524":626,"525":629,"526":631,"527":634,"528":635,"529":636,"530":637,"531":638,"532":639,"533":640,"534":641,"535":643,"536":645,"537":646,"538":648,"539":649,"540":652,"541":654,"542":655,"543":656,"544":659,"545":663,"546":667,"547":669,"548":670,"549":671,"550":673,"551":674,"552":675,"553":679,"554":685,"555":687,"556":688,"557":693,"558":697,"559":698,"560":700,"561":701,"562":702,"563":703,"564":706,"565":707,"566":710,"567":715,"568":718,"569":719,"570":723,"571":725,"572":726,"573":728,"574":729,"575":731,"576":732,"577":736,"578":740,"579":741,"580":742,"581":743,"582":748,"583":755,"584":757,"585":761,"586":762,"587":763,"588":765,"589":766,"590":768,"591":769,"592":771,"593":772,"594":773,"595":774,"596":775,"597":778,"598":779,"599":783,"600":787,"601":790,"602":792,"603":793,"604":794,"605":797,"606":801,"607":802,"608":803,"609":804,"610":807,"611":808,"612":817,"613":818,"614":819,"615":823,"616":824,"617":825,"618":827,"619":835,"620":837,"621":839,"622":844,"623":845,"624":847,"625":848,"626":851,"627":852,"628":855,"629":858,"630":859,"631":860,"632":869,"633":870,"634":873,"635":874,"636":878,"637":879,"638":880,"639":883,"640":888,"641":889,"642":890,"643":891,"644":893,"645":895,"646":897,"647":899,"648":900,"649":909,"650":912,"651":918,"652":920,"653":921,"654":923,"655":926,"656":929,"657":934,"658":936,"659":938,"660":939,"661":941,"662":945,"663":949,"664":950,"665":954,"666":958,"667":962,"668":963,"669":969,"670":973,"671":974,"672":976,"673":980,"674":983,"675":988,"676":989,"677":990,"678":993,"679":994,"680":995,"681":997,"682":998,"683":1001,"684":1003,"685":1005,"686":1008,"687":1010,"688":1013,"689":1015,"690":1018,"691":1019,"692":1021,"694":1026,"695":1027,"696":1028,"697":1032,"698":1033,"699":1034,"700":1035,"701":1036,"702":1038,"703":1040,"704":1041,"705":1044,"706":1045,"707":1048,"708":1050,"709":1053,"710":1055,"711":1057,"712":1058,"713":1061,"714":1069,"715":1070,"716":1071,"717":1073,"718":1076,"719":1078,"720":1086,"721":1090,"722":1093,"723":1094,"724":1095,"725":1099,"726":1103,"727":1105,"728":1106,"729":1107,"730":1108,"731":1115,"732":1116,"733":1117,"734":1118,"735":1119,"736":1120,"737":1124,"738":1126,"739":1131,"740":1133,"741":1134,"742":1140,"743":1141,"744":1142,"745":1145,"746":1147,"747":1149},{"0":3,"1":21,"2":23,"3":25,"4":26,"5":48,"6":70,"7":71,"8":76,"9":86,"10":88,"11":89,"12":94,"13":99,"14":102,"15":106,"16":115,"17":123,"18":124,"19":153,"20":156,"21":177,"22":186,"23":200,"24":201,"25":204,"26":209,"27":212,"28":215,"29":221,"30":223,"31":227,"32":234,"33":237,"34":242,"35":247,"36":251,"37":255,"38":258,"39":275,"40":276,"41":282,"42":297,"43":318,"44":357,"45":364,"46":394,"47":403,"48":408,"49":422,"50":432,"51":433,"52":473,"53":479,"54":484,"55":485,"56":495,"57":496,"58":505,"59":507,"60":510,"61":520,"62":522,"63":523,"64":545,"65":551,"66":566,"67":569,"68":571,"69":578,"70":589,"71":591,"72":592,"73":599,"74":604,"75":615,"76":618,"77":624,"78":627,"79":630,"80":632,"81":633,"82":644,"83":651,"84":653,"85":657,"86":664,"87":668,"88":676,"89":678,"90":680,"91":681,"92":682,"93":684,"94":691,"95":695,"96":699,"97":708,"98":711,"99":712,"100":716,"101":720,"102":721,"103":722,"104":733,"105":734,"106":735,"107":738,"108":744,"109":745,"111":752,"112":756,"113":770,"115":785,"116":786,"117":789,"118":800,"119":809,"120":811,"121":813,"122":821,"123":828,"124":829,"125":834,"126":836,"127":838,"128":840,"129":841,"130":854,"131":857,"132":861,"134":863,"135":867,"137":881,"138":882,"139":884,"140":885,"141":887,"142":896,"143":903,"144":904,"145":905,"146":911,"147":913,"148":914,"149":917,"150":922,"151":924,"152":940,"153":943,"154":944,"155":951,"156":956,"157":959,"158":966,"159":967,"160":968,"161":975,"162":981,"163":984,"164":986,"165":987,"166":991,"167":996,"168":1002,"169":1009,"170":1012,"171":1020,"173":1030,"174":1037,"175":1042,"176":1043,"177":1049,"178":1054,"179":1056,"180":1060,"181":1062,"182":1063,"183":1064,"184":1065,"185":1067,"186":1074,"188":1077,"189":1081,"190":1084,"191":1085,"192":1092,"193":1096,"194":1100,"195":1109,"197":1113,"198":1114,"199":1122,"200":1125,"201":1128,"202":1129,"203":1130,"204":1138,"205":1146,"206":1148,"207":1150,"208":1151},{"0":270,"1":386,"2":451,"3":509,"5":584,"6":593,"7":601,"8":603,"9":616,"10":619,"11":642,"12":647,"13":658,"14":683,"15":692,"16":704,"17":705,"18":727,"19":737,"20":750,"21":753,"22":776,"23":781,"24":784,"25":796,"26":805,"27":806,"28":810,"29":812,"30":830,"31":831,"32":833,"33":842,"34":865,"35":876,"36":925,"37":930,"38":935,"39":942,"40":946,"41":955,"42":960,"43":985,"44":999,"45":1004,"46":1007,"47":1014,"48":1017,"49":1023,"50":1047,"51":1052,"52":1072,"53":1082,"54":1087,"55":1088,"56":1091,"57":1098,"58":1111,"59":1112,"60":1121,"61":1135},{"0":235,"1":588,"2":595,"3":606,"4":608,"5":660,"6":677,"8":724,"9":739,"10":759,"11":760,"12":764,"13":767,"14":795,"15":815,"16":822,"17":826,"18":850,"19":877,"20":892,"21":894,"22":901,"23":906,"24":915,"25":952,"26":961,"27":970,"28":978,"29":1022,"30":1025,"31":1068,"32":1101,"33":1102,"34":1123,"35":1137},{"1":621,"2":662,"3":666,"4":696,"5":747,"6":749,"7":798,"8":816,"9":864,"10":866,"11":868,"12":902,"13":907,"14":908,"15":931,"16":937,"17":972,"18":1046,"20":1066,"21":1097},{"0":672,"1":686,"3":754,"4":758,"5":814,"6":849,"7":872,"8":948,"9":957,"10":982,"11":1000,"12":1016,"13":1031,"14":1079,"15":1139},{"1":730,"3":843,"5":898,"6":965,"7":977,"8":1011,"10":1104},[623,628,650,661,665,799,832,910,933,953],{"0":689,"1":788,"3":856,"5":971,"6":979,"7":1006},{"0":577,"1":714,"2":777,"4":1059},{"4":1136,"5":1143,"6":1144},[590,609],{"0":594,"2":717,"3":927},[820],[]]