[{"0":0,"1":1,"2":2,"3":3,"4":4,"5":5,"6":6,"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":30,"28":31,"29":33,"30":34,"31":35,"32":36,"33":37,"34":38,"35":39,"36":40,"37":41,"38":42,"39":43,"40":45,"41":46,"42":47,"43":49,"44":51,"45":52,"46":53,"47":54,"48":55,"49":56,"50":57,"51":58,"52":59,"53":60,"54":61,"55":62,"56":64,"57":65,"58":66,"59":67,"60":68,"61":70,"62":71,"63":72,"64":73,"65":74,"66":76,"67":77,"68":78,"69":79,"70":80,"71":81,"72":82,"73":83,"74":84,"75":85,"76":86,"77":87,"78":88,"79":89,"80":90,"81":92,"82":93,"83":94,"84":95,"85":96,"86":97,"87":98,"88":99,"89":100,"90":101,"91":102,"92":103,"93":104,"94":105,"95":106,"96":107,"97":108,"98":109,"99":110,"100":112,"101":113,"102":115,"103":116,"104":117,"105":118,"106":119,"107":121,"108":122,"109":123,"110":124,"111":125,"112":126,"114":128,"115":129,"116":130,"117":131,"118":132,"119":133,"120":134,"121":135,"122":136,"123":137,"124":138,"125":139,"126":140,"127":141,"128":142,"129":143,"130":144,"131":145,"133":147,"134":148,"135":149,"136":150,"137":151,"138":152,"139":153,"140":154,"141":155,"142":156,"143":157,"144":158,"145":159,"146":160,"147":161,"148":162,"149":163,"150":164,"151":166,"152":167,"153":168,"154":169,"155":170,"156":171,"157":172,"158":173,"159":174,"160":175,"161":176,"162":177,"163":180,"164":181,"165":182,"166":183,"167":185,"168":186,"169":187,"170":188,"171":189,"172":190,"173":191,"174":194,"175":195,"176":196,"177":197,"178":198,"179":199,"180":200,"181":201,"183":203,"184":206,"185":209,"186":210,"187":211,"188":212,"190":214,"191":215,"192":216,"193":218,"194":220,"195":221,"196":222,"197":223,"198":224,"199":225,"200":226,"201":227,"202":229,"203":231,"204":232,"205":233,"206":234,"207":235,"208":236,"209":237,"210":238,"211":239,"212":240,"213":241,"214":242,"215":243,"216":244,"217":245,"218":248,"219":249,"220":250,"221":251,"222":252,"223":253,"224":254,"225":256,"226":257,"227":258,"228":260,"229":261,"230":262,"231":263,"232":265,"233":266,"234":268,"235":269,"236":270,"237":271,"238":273,"239":274,"240":275,"241":276,"242":277,"243":278,"244":279,"245":280,"246":281,"247":282,"248":283,"249":284,"250":285,"251":286,"252":287,"253":288,"254":290,"255":291,"256":292,"257":293,"258":294,"259":295,"260":296,"262":298,"263":299,"264":300,"265":301,"266":303,"267":304,"268":306,"269":307,"270":308,"271":310,"272":311,"273":312,"274":313,"275":314,"276":315,"277":316,"278":318,"279":319,"280":320,"281":321,"282":322,"283":323,"284":324,"285":325,"286":327,"287":328,"288":329,"289":331,"290":332,"291":333,"292":334,"293":335,"294":336,"295":339,"296":340,"297":341,"298":342,"299":343,"300":344,"301":345,"302":346,"303":347,"304":348,"305":349,"306":350,"307":351,"308":352,"309":353,"310":354,"311":355,"312":356,"313":357,"314":358,"315":359,"316":360,"317":362,"318":363,"319":364,"320":365,"321":366,"322":367,"323":368,"324":369,"325":370,"326":372,"327":376,"328":377,"329":378,"330":379,"331":380,"332":381,"333":382,"334":383,"335":384,"336":385,"337":386,"338":387,"339":389,"340":390,"341":392,"342":393,"343":394,"344":395,"345":396,"346":397,"347":398,"348":399,"349":400,"350":401,"351":402,"352":403,"353":404,"354":405,"355":406,"356":408,"357":409,"358":410,"359":411,"360":412,"361":413,"362":414,"363":417,"364":419,"365":420,"366":421,"367":422,"368":423,"369":424,"370":427,"371":428,"372":429,"373":430,"374":431,"375":432,"376":433,"377":436,"378":437,"379":438,"380":439,"381":440,"382":441,"383":442,"384":445,"385":446,"386":449,"387":450,"388":451,"389":452,"390":453,"391":454,"392":457,"393":458,"394":459,"395":460,"396":461,"397":462,"398":463,"399":464,"400":466,"401":468,"402":469,"403":470,"404":472,"405":473,"406":474,"407":476,"408":477,"409":478,"410":479,"411":480,"412":481,"413":482,"414":483,"415":484,"416":486,"417":487,"418":488,"419":489,"420":490,"421":491,"422":492,"424":495,"425":496,"427":498,"428":499,"429":500,"430":501,"431":502,"432":503,"433":504,"434":506,"435":507,"436":508,"437":509,"438":510,"439":512,"440":513,"441":514,"442":516,"443":519,"444":520,"445":521,"446":522,"447":523,"448":524,"449":525,"450":528,"451":529,"452":530,"453":531,"454":532,"455":533,"456":534,"457":535,"458":536,"459":537,"460":538,"461":539,"462":540,"463":542,"464":544,"465":546,"466":547,"467":548,"468":549,"469":550,"470":551,"471":552,"472":553,"473":554,"474":555,"475":556,"476":557,"477":558,"478":559,"479":560,"480":561,"481":562,"482":563,"483":564,"484":565,"485":566,"486":567,"487":568,"488":569,"489":570,"490":571,"491":572,"492":573,"493":574,"494":575,"495":585,"496":588,"497":596,"498":599,"499":601,"500":602,"501":603,"502":604,"503":605,"504":610,"505":633,"506":634,"507":635,"508":637,"509":640,"510":645,"511":647,"512":648,"513":651,"514":656,"515":658,"516":664,"517":669,"518":671,"519":674,"520":675,"521":676,"522":677,"523":678,"524":679,"525":681,"526":685,"527":686,"528":689,"529":694,"530":703,"531":710,"532":715,"533":716,"534":718,"535":722,"536":724,"537":725,"538":732,"539":734,"540":738,"541":748,"542":754,"543":755,"544":757,"545":761,"546":763,"547":765,"548":769,"549":770,"550":772,"551":773,"552":781,"553":782,"554":785,"555":789,"556":793,"557":800,"558":803,"559":813,"560":818,"561":821,"562":823,"563":825,"564":828,"565":832,"566":833,"567":834,"568":835,"569":840,"570":843,"571":844,"572":845,"573":846,"574":848,"575":855,"576":857,"577":859,"578":862,"579":867,"580":870,"581":871,"582":873,"583":874,"584":876,"585":879,"586":881,"587":884,"588":887,"589":889,"590":892,"591":896,"592":908,"593":914,"594":917,"595":921,"596":922,"597":927,"598":931,"599":933,"600":937,"601":939,"602":941,"603":942,"604":944,"605":946,"606":949,"607":950,"608":952,"609":955,"610":956,"611":957,"612":958,"613":967,"614":970,"615":971,"616":976,"617":978,"618":981,"619":982,"620":985,"621":988,"622":991,"623":997,"624":999,"625":1001,"626":1002,"627":1004,"628":1005,"629":1010,"630":1011,"631":1015,"632":1018,"633":1019,"634":1021,"635":1024,"636":1027,"637":1030,"638":1031,"639":1035,"640":1038,"641":1040,"642":1042,"643":1044,"644":1047,"645":1048,"646":1052,"647":1054,"648":1055,"649":1059,"650":1061,"651":1069,"652":1072,"653":1073,"654":1076,"655":1080,"656":1084,"657":1087,"658":1090,"659":1094,"660":1097,"661":1099,"662":1100,"663":1102,"664":1103,"665":1106,"666":1108,"667":1114,"668":1115,"669":1119,"670":1124,"671":1129,"672":1137,"673":1140,"674":1142,"675":1143,"676":1146,"677":1148},{"0":7,"1":9,"2":29,"3":32,"4":44,"5":48,"6":50,"7":63,"8":69,"9":75,"10":91,"11":111,"12":114,"13":120,"14":165,"15":178,"16":179,"17":184,"18":192,"19":193,"20":204,"21":205,"22":207,"23":208,"24":217,"25":219,"26":228,"27":230,"28":246,"29":247,"30":255,"31":259,"32":267,"33":272,"34":289,"35":302,"36":305,"37":309,"38":317,"39":326,"40":330,"41":337,"42":338,"43":361,"44":371,"45":373,"46":374,"47":375,"48":388,"49":391,"50":407,"51":415,"52":416,"53":418,"54":426,"55":434,"56":435,"57":443,"58":444,"59":447,"60":455,"61":456,"62":465,"63":467,"64":471,"65":475,"66":485,"67":494,"68":505,"69":511,"70":515,"71":517,"72":518,"73":526,"74":527,"75":541,"76":543,"77":545,"78":584,"79":587,"80":592,"81":593,"82":600,"83":607,"84":611,"85":612,"86":616,"87":617,"88":620,"89":621,"90":626,"91":627,"92":628,"93":630,"94":632,"95":639,"96":643,"97":644,"98":646,"99":649,"100":663,"101":673,"102":687,"103":692,"104":696,"105":697,"106":699,"107":704,"108":711,"109":712,"110":714,"111":723,"112":728,"113":729,"114":731,"115":733,"116":742,"117":751,"118":756,"119":759,"120":762,"121":768,"122":771,"123":779,"124":780,"125":787,"126":790,"127":799,"128":802,"129":805,"130":811,"131":812,"132":815,"133":822,"134":826,"135":827,"136":829,"137":831,"138":837,"139":850,"140":851,"141":853,"142":854,"143":861,"144":866,"145":868,"146":877,"147":878,"148":882,"149":883,"150":885,"151":888,"152":897,"153":898,"154":899,"155":900,"156":904,"157":905,"158":906,"159":909,"160":911,"161":912,"162":916,"163":918,"164":920,"165":926,"167":935,"168":936,"169":938,"170":940,"172":951,"173":954,"174":959,"175":961,"176":974,"177":980,"178":990,"179":992,"180":993,"181":994,"182":995,"183":1000,"184":1007,"185":1008,"186":1009,"187":1017,"188":1020,"189":1022,"190":1025,"191":1028,"192":1032,"193":1039,"194":1041,"195":1045,"196":1046,"197":1058,"198":1064,"199":1065,"200":1066,"201":1067,"202":1070,"203":1071,"204":1074,"205":1075,"206":1078,"207":1079,"208":1081,"209":1085,"210":1091,"211":1092,"212":1096,"213":1098,"214":1107,"215":1112,"216":1113,"217":1116,"218":1117,"219":1121,"220":1122,"221":1126,"222":1131,"223":1133,"224":1141,"225":1145,"226":1147,"227":1149,"228":1151},{"0":264,"1":425,"2":448,"3":576,"4":577,"6":583,"7":606,"8":609,"9":613,"10":623,"11":624,"12":629,"13":638,"14":642,"15":657,"16":660,"17":665,"18":666,"19":670,"20":672,"21":680,"22":682,"23":684,"24":688,"25":690,"26":691,"27":702,"28":705,"29":708,"30":709,"31":726,"33":735,"34":740,"35":745,"36":758,"37":760,"38":767,"39":776,"40":777,"41":791,"42":796,"43":798,"44":804,"45":807,"46":819,"47":820,"49":836,"50":839,"51":849,"52":852,"53":856,"54":858,"55":863,"56":864,"57":869,"58":875,"59":880,"60":895,"62":907,"63":915,"64":923,"65":930,"66":932,"67":963,"68":965,"69":968,"70":975,"71":986,"72":987,"73":996,"74":998,"75":1006,"76":1013,"77":1014,"78":1023,"79":1033,"80":1034,"81":1037,"82":1050,"83":1051,"84":1088,"85":1093,"86":1104,"87":1109,"88":1118,"89":1120,"90":1127,"91":1128,"92":1130},[582,614,615,618,622,631,636,641,654,659,668,693,720,730,737,744,746,764,766,774,778,794,797,801,806,810,838,841,860,872,893,901,910,925,928,929,947,948,953,960,964,973,983,989,1012,1053,1057,1062,1101,1105,1110,1111,1123,1125,1150],{"0":580,"1":581,"2":589,"3":598,"4":608,"5":650,"6":653,"7":662,"8":667,"9":701,"10":717,"11":719,"12":721,"13":736,"14":739,"15":741,"16":750,"17":753,"18":775,"19":783,"20":792,"21":808,"22":809,"23":814,"24":824,"25":842,"26":847,"27":890,"28":891,"29":902,"30":924,"31":943,"32":969,"33":977,"34":1016,"35":1036,"36":1049,"37":1060,"38":1063,"39":1082,"41":1086,"43":1135,"44":1139,"45":1144},[578,597,619,652,695,698,706,743,752,784,786,788,817,913,962,972,979,1003,1026,1029,1056,1134,1136,1138],{"1":591,"2":595,"3":625,"4":655,"5":661,"8":747,"9":749,"10":795,"11":816,"13":919,"14":966,"15":1095},{"0":590,"1":594,"4":1043,"5":1068,"6":1077},{"1":984},[]]