[{"0":0,"1":1,"2":2,"3":3,"4":5,"5":6,"6":7,"7":8,"8":10,"9":11,"10":12,"11":13,"12":14,"13":16,"14":17,"16":20,"17":21,"18":22,"19":23,"20":24,"21":25,"22":26,"23":29,"24":30,"25":31,"26":32,"27":33,"28":34,"30":37,"31":38,"32":39,"33":40,"34":41,"35":42,"36":45,"37":47,"38":48,"39":49,"40":50,"41":51,"42":52,"43":53,"44":54,"45":56,"46":57,"47":58,"48":59,"49":60,"51":62,"52":63,"53":64,"54":65,"55":66,"56":68,"57":69,"58":70,"59":71,"60":73,"61":74,"62":75,"63":76,"64":77,"65":78,"66":79,"67":80,"68":81,"69":82,"70":83,"71":84,"72":85,"73":86,"74":87,"75":88,"76":89,"77":90,"78":91,"79":92,"80":94,"81":96,"82":97,"83":98,"84":99,"85":100,"86":101,"87":102,"88":104,"89":105,"90":107,"91":108,"92":109,"93":110,"94":111,"95":112,"96":113,"97":114,"98":115,"99":116,"100":117,"101":118,"102":119,"103":120,"104":121,"105":122,"106":123,"107":124,"108":126,"109":128,"110":130,"111":131,"112":132,"113":133,"114":134,"115":135,"116":137,"117":138,"118":139,"119":140,"120":141,"121":143,"122":145,"123":146,"124":147,"125":149,"126":150,"127":151,"128":152,"129":153,"130":154,"131":155,"132":156,"133":157,"134":158,"135":159,"136":160,"137":161,"138":162,"139":163,"140":164,"141":165,"142":166,"143":167,"144":168,"145":169,"146":170,"147":171,"148":172,"149":173,"150":174,"151":175,"152":176,"153":177,"154":178,"155":179,"156":180,"157":181,"158":182,"159":184,"160":185,"161":187,"162":189,"163":190,"164":191,"165":192,"166":193,"167":194,"168":195,"169":196,"170":198,"171":199,"173":201,"174":202,"175":204,"176":206,"177":207,"178":208,"179":209,"180":210,"181":211,"183":215,"184":216,"185":218,"186":219,"187":220,"188":221,"189":222,"190":223,"191":224,"192":225,"193":226,"194":227,"195":228,"196":229,"197":230,"198":232,"199":233,"200":234,"201":235,"202":236,"203":237,"204":239,"205":240,"206":241,"207":242,"208":243,"209":244,"210":245,"211":246,"212":247,"213":248,"214":250,"215":251,"216":252,"217":253,"218":255,"219":256,"220":257,"221":258,"222":259,"223":261,"224":262,"225":263,"226":264,"227":265,"228":266,"229":267,"230":268,"231":269,"232":270,"233":271,"234":273,"235":274,"236":275,"237":276,"238":277,"239":278,"240":279,"241":280,"242":282,"243":283,"244":284,"245":285,"246":286,"247":287,"248":288,"249":289,"250":290,"251":291,"252":293,"253":295,"254":296,"255":297,"256":298,"257":300,"258":301,"259":302,"260":303,"261":304,"262":305,"263":306,"264":308,"265":309,"266":310,"267":311,"268":312,"269":313,"270":314,"271":315,"272":316,"273":317,"274":318,"275":319,"276":320,"277":321,"278":322,"280":324,"281":325,"282":326,"283":327,"284":328,"285":329,"286":330,"287":331,"288":332,"289":333,"290":334,"291":335,"292":336,"293":337,"294":338,"295":339,"296":340,"297":341,"298":342,"299":343,"300":344,"301":345,"302":346,"303":347,"304":348,"306":350,"307":352,"308":353,"309":355,"310":356,"311":357,"312":358,"314":360,"315":361,"316":362,"317":363,"318":364,"319":365,"320":366,"321":367,"322":369,"323":371,"324":372,"325":373,"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":386,"339":387,"340":388,"341":389,"342":390,"343":391,"344":392,"345":394,"346":395,"347":397,"348":398,"349":400,"350":401,"351":402,"352":403,"353":404,"354":405,"355":406,"356":407,"357":408,"358":410,"359":411,"360":412,"361":413,"362":414,"363":415,"364":416,"365":417,"366":418,"367":419,"368":420,"369":421,"370":422,"371":423,"372":425,"374":427,"375":428,"376":430,"377":431,"378":432,"379":433,"380":434,"381":435,"382":436,"383":437,"384":438,"385":439,"386":440,"387":441,"388":442,"389":443,"391":446,"392":448,"393":449,"394":450,"395":452,"396":453,"397":454,"398":455,"399":456,"400":457,"401":458,"404":462,"405":463,"406":464,"407":465,"408":466,"409":467,"410":468,"411":469,"412":470,"413":471,"414":472,"415":474,"416":475,"417":476,"418":477,"419":478,"420":479,"421":480,"422":481,"424":483,"425":484,"426":485,"427":486,"428":487,"429":488,"430":489,"431":490,"432":491,"433":492,"434":493,"435":494,"436":497,"437":498,"438":499,"439":500,"440":501,"441":502,"442":503,"443":504,"444":506,"445":507,"446":508,"447":509,"448":510,"449":511,"450":512,"451":513,"452":514,"453":515,"454":517,"455":518,"456":519,"457":520,"458":521,"459":522,"460":523,"461":524,"462":525,"463":526,"464":527,"465":529,"466":530,"467":531,"468":532,"469":533,"470":535,"471":536,"472":537,"473":539,"474":540,"475":542,"476":543,"477":544,"478":545,"479":546,"480":547,"481":549,"482":550,"483":551,"484":552,"485":553,"486":555,"487":556,"488":557,"490":559,"491":560,"492":561,"493":562,"494":565,"495":566,"496":567,"497":568,"498":569,"499":570,"500":572,"501":573,"502":574,"503":575,"504":576,"505":577,"506":582,"507":587,"508":589,"509":591,"510":597,"511":600,"512":604,"513":606,"514":612,"515":614,"516":615,"517":618,"518":626,"519":633,"520":634,"521":647,"522":650,"523":658,"524":662,"525":663,"526":664,"527":665,"528":667,"529":669,"530":670,"531":675,"532":677,"533":681,"534":684,"535":685,"536":688,"537":689,"538":692,"539":700,"540":703,"541":709,"542":710,"543":714,"544":716,"545":723,"546":726,"547":728,"548":735,"549":742,"550":749,"551":752,"552":753,"553":758,"554":760,"555":761,"556":763,"557":767,"558":769,"559":775,"560":780,"561":782,"562":784,"563":790,"564":792,"565":796,"566":800,"567":801,"568":806,"569":808,"570":814,"571":815,"572":816,"573":818,"574":824,"575":831,"576":840,"577":841,"578":846,"579":847,"580":849,"581":851,"582":852,"583":854,"584":859,"585":861,"586":864,"587":866,"588":868,"589":876,"590":882,"591":884,"592":885,"593":888,"594":894,"595":895,"596":898,"597":902,"598":914,"599":915,"600":916,"601":919,"602":920,"603":924,"604":926,"605":928,"606":933,"607":941,"608":946,"609":953,"610":954,"611":958,"612":961,"613":962,"614":963,"615":965,"616":967,"617":971,"618":974,"619":982,"620":984,"621":989,"622":990,"623":995,"624":996,"625":998,"626":1001,"627":1002,"628":1005,"629":1010,"630":1011,"631":1019,"632":1020,"633":1022,"634":1029,"635":1031,"636":1035,"637":1041,"638":1042,"639":1045,"640":1054,"641":1059,"642":1060,"643":1061,"644":1063,"645":1067,"646":1070,"647":1072,"648":1073,"649":1078,"650":1081,"651":1083,"652":1085,"653":1087,"654":1095,"655":1098,"656":1102,"657":1103,"658":1106,"659":1117,"660":1120,"661":1122,"662":1123,"663":1133,"664":1134,"665":1136,"666":1138,"667":1140,"668":1145,"669":1146,"670":1148},{"0":9,"1":15,"2":19,"3":27,"4":28,"5":35,"6":43,"7":44,"8":46,"9":55,"10":67,"11":72,"12":93,"13":95,"14":103,"15":106,"16":125,"17":127,"18":129,"19":136,"20":142,"21":144,"22":148,"23":183,"24":186,"25":188,"26":197,"27":203,"28":205,"29":213,"30":217,"31":231,"32":238,"33":249,"34":254,"35":272,"36":281,"37":292,"38":294,"39":299,"40":307,"41":351,"42":354,"43":368,"44":370,"45":393,"46":396,"47":399,"48":409,"49":424,"50":429,"51":444,"52":447,"53":451,"54":460,"55":473,"56":495,"57":496,"58":505,"59":516,"60":528,"61":534,"62":538,"63":541,"64":548,"65":554,"66":563,"67":564,"68":571,"69":579,"70":581,"71":583,"72":586,"73":590,"74":593,"75":595,"76":601,"77":605,"78":609,"79":611,"80":620,"81":625,"82":628,"83":629,"84":632,"85":636,"86":637,"87":638,"88":640,"89":642,"90":643,"91":651,"92":659,"93":661,"94":668,"95":671,"96":673,"97":676,"98":679,"99":680,"100":691,"101":693,"102":694,"103":696,"104":697,"105":699,"106":701,"107":708,"108":712,"109":718,"110":720,"111":729,"112":732,"113":733,"114":737,"115":738,"116":739,"117":740,"118":741,"119":748,"120":751,"121":755,"122":759,"123":762,"124":764,"125":768,"126":772,"127":777,"128":788,"129":789,"130":793,"131":797,"132":798,"133":802,"134":804,"135":805,"136":809,"137":812,"138":813,"139":817,"141":821,"142":825,"143":827,"144":830,"145":833,"146":834,"147":843,"148":848,"149":853,"150":855,"151":862,"152":867,"153":872,"154":873,"155":878,"156":883,"157":886,"158":890,"159":891,"160":896,"161":899,"162":903,"163":904,"164":905,"165":907,"166":909,"167":910,"168":911,"169":912,"170":913,"171":918,"172":925,"173":929,"174":931,"175":932,"176":934,"177":935,"178":939,"179":940,"180":942,"181":944,"182":945,"183":947,"184":950,"185":951,"186":955,"187":957,"188":960,"189":968,"190":969,"191":977,"192":978,"193":979,"194":980,"196":983,"197":985,"198":988,"199":992,"200":993,"201":994,"202":999,"203":1003,"204":1004,"205":1009,"206":1012,"207":1014,"208":1015,"209":1016,"210":1017,"211":1025,"212":1026,"213":1030,"214":1033,"215":1034,"216":1036,"217":1043,"218":1044,"219":1049,"220":1057,"221":1062,"222":1064,"223":1068,"224":1074,"225":1088,"226":1089,"227":1090,"228":1092,"229":1093,"230":1096,"231":1099,"232":1101,"234":1108,"235":1112,"236":1113,"237":1115,"238":1116,"239":1118,"240":1128,"241":1129,"242":1131,"243":1132,"244":1137,"245":1139,"246":1143,"247":1147,"248":1150,"249":1151},{"0":4,"1":212,"2":260,"3":578,"4":580,"5":596,"6":603,"7":613,"8":616,"9":617,"11":630,"12":631,"13":639,"14":641,"15":646,"16":648,"17":649,"18":653,"19":654,"20":657,"21":660,"22":666,"23":672,"24":682,"25":683,"26":686,"27":698,"28":702,"29":704,"30":706,"31":707,"32":711,"33":717,"34":722,"35":724,"36":725,"37":727,"38":736,"39":743,"40":744,"41":745,"42":747,"43":750,"44":756,"45":766,"46":771,"47":781,"48":787,"49":799,"50":810,"51":828,"52":836,"53":842,"54":844,"55":845,"56":850,"57":858,"58":863,"59":865,"60":869,"61":871,"62":874,"63":877,"64":881,"65":893,"66":900,"67":906,"68":917,"69":956,"70":970,"71":973,"72":976,"73":987,"74":997,"75":1008,"76":1024,"77":1028,"78":1032,"79":1050,"80":1051,"81":1056,"82":1058,"83":1069,"84":1075,"85":1076,"86":1077,"87":1082,"88":1084,"89":1100,"90":1105,"92":1114,"93":1119,"94":1125,"95":1126,"96":1144},{"0":588,"1":594,"2":610,"3":635,"4":645,"5":656,"6":695,"7":713,"8":746,"9":754,"10":757,"11":765,"12":776,"13":778,"14":794,"15":807,"16":835,"17":838,"18":839,"19":856,"20":860,"21":870,"22":892,"23":897,"24":908,"25":936,"27":966,"28":986,"29":991,"30":1007,"31":1023,"32":1039,"33":1047,"34":1052,"35":1053,"36":1065,"37":1071,"38":1094,"39":1124,"40":1127,"41":1130,"42":1142},{"0":598,"1":602,"2":607,"3":621,"4":622,"5":655,"6":674,"7":687,"8":770,"9":773,"10":779,"11":791,"12":795,"13":826,"14":879,"15":889,"16":943,"17":964,"18":975,"19":1027,"20":1038,"21":1048,"22":1086,"24":1097,"25":1110},[599,619,690,705,731,734,783,785,823,887,921,923,927,949,952,1055,1079,1080,1109,1111,1121,1149],{"0":623,"1":652,"2":719,"3":721,"4":730,"5":803,"6":837,"7":880,"8":922,"10":938,"12":1000,"13":1006,"15":1040,"16":1141},{"0":585,"2":678,"3":715,"4":819,"5":829,"6":857,"7":875,"8":901,"9":959,"10":1021,"11":1066,"12":1135},{"1":644,"2":786,"3":832,"4":1018},[584,774,822],[],[]]