[{"0":0,"1":1,"2":2,"3":3,"4":4,"5":5,"6":6,"7":7,"8":8,"9":9,"10":10,"11":12,"12":13,"13":14,"14":15,"16":19,"17":20,"18":22,"19":23,"20":24,"21":25,"22":26,"23":27,"24":28,"25":29,"26":30,"27":31,"28":32,"29":33,"30":34,"31":35,"32":36,"33":37,"34":38,"35":39,"36":40,"37":42,"38":43,"39":44,"40":45,"41":46,"42":47,"43":48,"44":49,"45":50,"46":51,"47":53,"48":55,"49":56,"50":57,"51":58,"52":59,"53":60,"54":61,"55":62,"56":63,"57":64,"59":66,"60":67,"61":68,"62":69,"63":70,"64":71,"65":72,"66":73,"67":74,"68":75,"69":76,"70":77,"71":78,"72":79,"73":80,"74":81,"75":84,"76":86,"77":87,"78":88,"79":89,"80":90,"81":91,"82":92,"83":93,"84":94,"85":95,"86":96,"87":97,"88":98,"89":99,"90":100,"91":103,"92":104,"93":105,"94":106,"95":107,"96":108,"97":109,"98":110,"99":111,"100":113,"101":114,"102":115,"103":117,"104":119,"105":120,"106":121,"107":122,"108":123,"109":124,"110":126,"111":127,"112":129,"113":130,"114":131,"115":133,"116":135,"117":136,"118":137,"119":138,"120":139,"121":140,"122":141,"123":143,"124":144,"126":146,"127":148,"128":149,"129":150,"130":151,"131":152,"132":153,"133":154,"134":155,"135":156,"136":157,"137":158,"138":159,"139":160,"140":161,"141":162,"142":163,"143":165,"144":166,"145":167,"146":168,"147":170,"148":171,"149":172,"150":173,"151":174,"152":175,"153":176,"154":177,"155":178,"156":179,"157":180,"158":181,"159":183,"160":184,"161":186,"162":187,"163":188,"164":189,"165":190,"166":191,"167":192,"168":194,"169":195,"170":197,"171":198,"172":199,"173":200,"174":201,"175":202,"176":203,"177":204,"178":205,"180":207,"181":208,"182":209,"183":210,"184":211,"185":212,"186":213,"187":214,"188":217,"189":218,"190":219,"191":220,"192":221,"193":222,"194":223,"195":224,"196":225,"197":226,"198":227,"199":228,"200":229,"201":230,"202":231,"203":232,"204":233,"205":234,"206":236,"207":237,"208":238,"209":239,"210":240,"211":241,"212":242,"213":243,"214":245,"215":246,"216":247,"217":248,"218":249,"219":250,"220":251,"221":252,"222":253,"223":254,"224":255,"225":257,"226":258,"227":260,"228":261,"229":262,"230":263,"231":264,"232":265,"233":266,"234":267,"235":268,"236":269,"237":270,"238":271,"239":272,"240":273,"241":274,"242":276,"243":277,"244":278,"245":279,"246":280,"247":281,"248":282,"249":283,"250":284,"251":285,"252":286,"253":287,"254":288,"255":289,"256":290,"257":291,"258":292,"259":293,"260":294,"261":295,"262":296,"263":297,"264":298,"265":299,"266":300,"267":301,"268":302,"269":304,"270":305,"271":306,"272":307,"273":308,"274":309,"275":310,"276":311,"277":312,"278":313,"279":314,"280":315,"281":316,"282":317,"283":318,"284":319,"285":321,"286":323,"287":324,"288":325,"289":326,"290":327,"291":328,"292":329,"293":330,"294":331,"295":332,"296":333,"297":334,"298":335,"299":336,"300":337,"301":338,"302":339,"303":340,"304":341,"305":342,"306":343,"307":344,"308":346,"309":347,"310":348,"311":349,"312":350,"313":351,"314":352,"315":353,"316":354,"317":355,"318":356,"319":357,"320":358,"321":359,"322":360,"323":361,"324":362,"325":363,"326":364,"327":365,"328":366,"329":367,"330":368,"331":369,"332":370,"333":371,"334":372,"335":373,"336":374,"337":376,"338":377,"340":379,"341":381,"342":382,"343":383,"344":384,"345":385,"346":386,"347":387,"348":388,"349":389,"350":390,"351":391,"352":392,"353":393,"354":394,"355":395,"356":396,"357":397,"358":398,"359":399,"360":400,"361":401,"362":404,"363":405,"364":406,"365":407,"366":408,"367":409,"368":410,"369":411,"370":412,"372":414,"373":415,"374":416,"375":417,"376":418,"377":419,"378":420,"379":421,"380":422,"381":423,"382":425,"383":426,"384":427,"385":429,"386":430,"387":432,"388":433,"389":434,"390":435,"391":436,"392":437,"393":438,"394":439,"395":440,"396":441,"397":442,"398":443,"399":444,"400":445,"401":446,"402":447,"403":448,"404":449,"405":450,"406":451,"407":452,"408":453,"409":454,"410":455,"411":456,"412":457,"413":458,"414":459,"415":460,"416":461,"417":462,"418":463,"419":464,"420":465,"421":466,"422":467,"423":468,"424":469,"425":470,"426":472,"427":473,"428":474,"429":475,"430":476,"432":478,"433":479,"434":481,"435":483,"436":484,"437":485,"438":486,"439":487,"440":488,"441":489,"442":490,"443":491,"444":492,"445":493,"446":494,"447":495,"448":496,"449":497,"450":498,"451":499,"452":500,"453":502,"454":503,"455":504,"456":505,"457":506,"458":508,"459":509,"460":510,"461":511,"462":512,"463":513,"464":514,"465":516,"466":518,"467":519,"468":520,"469":521,"470":522,"471":523,"472":524,"473":525,"474":526,"475":527,"476":528,"477":529,"478":530,"479":531,"480":532,"481":533,"482":535,"483":536,"484":537,"485":538,"486":539,"487":540,"488":541,"489":542,"490":543,"491":544,"492":545,"493":546,"494":547,"495":548,"496":549,"497":550,"498":551,"499":552,"500":553,"501":554,"502":555,"503":556,"504":557,"505":558,"506":560,"507":561,"508":562,"509":563,"510":564,"511":566,"512":567,"513":568,"514":569,"515":570,"516":571,"517":572,"518":573,"519":574,"520":575,"521":576,"522":579,"523":587,"524":592,"525":593,"526":595,"527":596,"528":597,"529":603,"530":616,"531":617,"532":621,"533":623,"534":624,"535":633,"536":638,"537":639,"538":640,"539":643,"540":645,"541":648,"542":654,"543":655,"544":656,"545":666,"546":667,"547":672,"548":675,"549":676,"550":678,"551":679,"552":683,"553":686,"554":688,"555":691,"556":696,"557":700,"558":701,"559":704,"560":707,"561":709,"562":710,"564":718,"565":720,"566":721,"567":722,"568":731,"569":737,"570":739,"571":741,"572":743,"573":744,"574":750,"575":752,"576":757,"577":758,"578":761,"579":765,"580":767,"581":768,"582":769,"583":770,"584":774,"585":778,"586":780,"587":782,"588":789,"589":793,"590":794,"591":798,"592":799,"593":802,"594":804,"595":806,"596":808,"597":812,"598":814,"599":816,"600":818,"601":819,"602":830,"603":833,"604":836,"605":842,"606":843,"607":846,"608":851,"609":854,"610":856,"611":858,"612":862,"613":863,"614":864,"615":865,"616":867,"617":871,"618":872,"619":874,"620":875,"621":879,"622":884,"623":885,"624":887,"625":889,"626":891,"627":897,"628":899,"629":903,"630":905,"631":906,"632":908,"633":911,"634":912,"635":915,"636":920,"637":925,"638":926,"639":927,"640":929,"641":932,"642":939,"643":942,"644":947,"645":951,"646":954,"647":956,"648":958,"649":962,"650":969,"651":971,"652":972,"653":974,"654":977,"655":979,"656":987,"657":991,"658":999,"659":1003,"660":1005,"661":1008,"662":1010,"663":1011,"664":1012,"665":1016,"666":1018,"667":1019,"668":1022,"669":1030,"670":1032,"671":1034,"672":1041,"673":1045,"674":1053,"675":1055,"676":1057,"677":1058,"678":1062,"679":1063,"680":1067,"681":1068,"682":1072,"683":1074,"684":1077,"685":1081,"686":1084,"687":1085,"688":1086,"689":1089,"690":1090,"691":1092,"692":1093,"693":1105,"694":1106,"695":1109,"696":1111,"697":1112,"698":1117,"699":1122,"700":1130,"701":1131,"702":1134,"703":1135,"704":1137,"705":1141,"706":1147,"707":1148,"708":1149},{"0":11,"1":17,"2":18,"3":21,"4":41,"5":52,"6":54,"7":82,"8":83,"9":85,"10":101,"11":102,"12":112,"13":116,"14":118,"15":125,"16":132,"17":134,"18":142,"19":147,"20":164,"21":169,"22":182,"23":185,"24":193,"25":196,"26":215,"27":216,"28":235,"29":244,"30":256,"31":259,"32":275,"33":303,"34":320,"35":322,"36":345,"37":375,"38":380,"39":402,"40":403,"41":424,"42":431,"43":471,"44":480,"45":482,"46":501,"47":507,"48":515,"49":517,"50":534,"51":559,"52":565,"53":588,"54":589,"55":590,"56":598,"57":599,"58":604,"59":607,"60":608,"61":610,"62":611,"63":613,"64":614,"65":615,"66":619,"67":626,"68":627,"69":628,"70":629,"71":632,"72":636,"73":641,"74":642,"75":646,"76":647,"77":652,"78":658,"79":660,"80":661,"81":663,"82":664,"83":665,"84":670,"85":671,"86":690,"87":695,"88":703,"89":706,"90":708,"91":711,"92":714,"93":715,"94":723,"95":724,"96":725,"97":728,"98":730,"99":736,"100":742,"101":747,"102":754,"103":755,"104":759,"105":762,"106":771,"107":772,"108":775,"109":776,"110":784,"111":785,"112":786,"113":792,"114":795,"115":800,"116":801,"117":803,"118":805,"119":810,"120":813,"121":820,"122":821,"123":825,"124":826,"125":829,"126":839,"127":845,"128":857,"129":860,"130":866,"131":870,"132":873,"133":888,"134":893,"135":896,"136":901,"137":904,"138":909,"140":916,"141":922,"142":923,"143":924,"144":928,"145":933,"146":934,"147":935,"148":938,"149":940,"150":943,"151":945,"152":948,"153":949,"154":952,"155":957,"156":961,"157":963,"158":966,"159":970,"160":975,"161":978,"162":980,"163":981,"164":983,"165":984,"166":986,"167":988,"168":989,"169":1000,"170":1004,"171":1013,"172":1015,"173":1020,"174":1021,"175":1023,"176":1024,"177":1031,"178":1038,"179":1052,"180":1054,"181":1064,"182":1065,"183":1073,"184":1075,"185":1080,"186":1083,"187":1087,"188":1091,"189":1094,"190":1098,"191":1100,"192":1101,"193":1104,"194":1110,"195":1114,"196":1116,"197":1118,"198":1121,"199":1128,"200":1132,"202":1138,"203":1140,"204":1145},[128,428,580,583,584,586,594,605,618,620,625,644,649,653,657,673,677,681,684,685,689,693,697,717,726,729,733,746,764,766,787,791,796,807,811,815,824,827,828,831,835,838,841,853,868,869,877,880,894,898,902,910,919,946,950,959,960,967,990,993,996,1001,1007,1009,1029,1035,1037,1049,1059,1070,1095,1102,1115,1119,1123,1129,1139,1142],[578,585,602,612,631,634,650,668,682,732,740,763,781,788,790,817,832,837,840,849,850,861,878,881,895,917,936,937,955,964,976,985,994,995,1014,1017,1025,1027,1036,1039,1043,1044,1051,1056,1061,1066,1069,1078,1079,1096,1144],{"0":577,"1":601,"2":606,"3":635,"4":637,"5":651,"6":659,"7":680,"8":692,"9":694,"10":698,"11":699,"12":702,"13":712,"14":716,"15":719,"16":727,"17":735,"18":748,"19":756,"20":822,"21":823,"22":834,"23":844,"24":852,"25":859,"26":876,"27":883,"28":890,"29":930,"30":931,"31":944,"32":982,"33":1026,"35":1040,"37":1050,"38":1060,"39":1103,"40":1107,"41":1108,"42":1120,"43":1127,"44":1133,"45":1151},{"0":582,"1":591,"2":622,"3":630,"5":749,"6":751,"8":760,"9":783,"10":797,"11":809,"12":847,"13":855,"14":886,"15":907,"16":914,"18":992,"19":1046,"20":1048,"21":1071,"22":1088,"23":1143,"24":1146,"25":1150},[600,674,687,779,848,882,918,965,973,998,1028,1042,1113,1124,1126],[581,609,669,738,745,773,892,900,941,968,1002,1076,1082],[734,921,997,1006,1099],[1097],[]]