[{"0":0,"1":1,"2":2,"3":3,"4":4,"5":5,"6":6,"7":8,"8":9,"9":10,"10":11,"11":12,"12":13,"13":14,"14":15,"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":33,"32":34,"33":35,"34":36,"35":37,"36":38,"37":40,"38":41,"39":44,"40":46,"41":48,"42":49,"43":50,"44":51,"45":52,"46":53,"47":54,"48":55,"49":57,"50":58,"51":61,"52":62,"53":63,"54":64,"55":65,"56":66,"57":67,"58":68,"59":69,"60":70,"61":71,"62":72,"63":73,"64":74,"65":75,"66":76,"67":77,"68":78,"69":79,"70":80,"71":83,"73":85,"74":86,"75":87,"76":88,"77":89,"78":91,"79":92,"80":93,"81":94,"82":95,"83":100,"84":102,"85":103,"86":104,"87":107,"88":110,"89":111,"90":112,"91":113,"92":114,"93":115,"94":116,"95":117,"96":118,"97":119,"98":120,"99":121,"100":122,"101":124,"102":125,"103":126,"104":127,"105":128,"106":129,"107":131,"108":134,"109":135,"110":136,"111":137,"112":138,"113":139,"114":141,"115":144,"116":145,"117":146,"118":147,"119":150,"120":151,"121":152,"122":156,"123":157,"124":159,"125":162,"126":163,"127":165,"128":166,"129":167,"130":168,"131":169,"132":171,"133":172,"134":173,"135":174,"136":176,"137":177,"138":178,"139":179,"140":181,"141":183,"142":184,"143":185,"144":187,"145":188,"146":190,"147":191,"148":192,"149":193,"150":194,"151":195,"152":196,"153":288,"154":289,"155":290,"156":291,"157":292,"158":293,"159":294,"160":295,"161":296,"162":297,"163":298,"165":300,"166":301,"167":303,"168":306,"169":307,"170":308,"172":310,"173":311,"174":312,"175":313,"176":314,"177":315,"178":316,"180":319,"181":320,"182":321,"183":322,"184":324,"185":326,"186":327,"187":331,"188":333,"189":336,"190":337,"191":338,"192":339,"193":340,"194":341,"195":343,"196":344,"197":349,"198":350,"199":351,"200":352,"201":353,"202":355,"203":357,"204":358,"205":360,"206":361,"207":362,"208":363,"209":364,"210":365,"211":366,"212":367,"213":368,"214":369,"215":371,"216":372,"217":373,"218":374,"219":377,"220":378,"222":380,"223":381,"224":382,"225":384,"226":385,"227":386,"228":387,"229":389,"230":390,"231":391,"232":392,"233":396,"234":397,"235":399,"236":401,"237":402,"238":403,"239":404,"240":405,"241":407,"242":408,"243":409,"244":410,"245":414,"246":415,"247":416,"248":417,"249":418,"250":419,"251":420,"252":421,"253":422,"254":423,"255":425,"256":426,"257":427,"258":429,"259":430,"260":431,"261":432,"262":433,"263":437,"264":438,"265":444,"266":445,"267":446,"268":448,"269":449,"270":450,"271":451,"272":452,"273":453,"274":455,"275":456,"276":458,"277":459,"278":460,"279":461,"280":462,"281":463,"282":466,"283":467,"284":468,"285":469,"286":470,"287":471,"288":472,"289":474,"290":477,"291":478,"292":479,"293":480,"294":481,"295":483,"296":484,"297":485,"298":486,"299":579,"300":580,"301":582,"302":587,"303":588,"304":590,"305":591,"306":592,"307":593,"308":601,"309":603,"310":605,"311":606,"312":624,"313":627,"314":628,"315":629,"316":634,"317":644,"318":648,"319":650,"320":655,"321":657,"322":658,"323":663,"324":667,"325":678,"326":679,"327":681,"328":688,"329":694,"330":696,"331":700,"332":703,"333":704,"334":709,"335":710,"336":716,"337":717,"338":720,"339":723,"340":725,"341":734,"342":742,"343":743,"344":744,"345":746,"346":748,"347":750,"348":756,"349":757,"350":759,"351":760,"352":761,"353":763,"354":768,"355":774,"356":775,"357":777,"358":779,"359":784,"360":786,"361":787,"362":791,"363":792,"364":794,"365":802,"366":805,"367":810,"368":818,"369":821,"370":829,"371":840,"372":852,"373":856,"374":863,"375":864,"376":870,"377":872,"378":874,"379":875,"380":877,"381":878,"382":884,"383":885,"384":891,"385":900,"386":902,"387":903,"388":907,"389":914,"390":915,"391":918,"392":922,"393":929,"394":930,"395":940,"396":956,"397":960,"398":967,"399":969,"400":978,"401":979,"402":992,"403":994,"404":1006,"405":1011,"406":1015,"407":1017,"408":1018,"409":1019,"410":1023,"411":1026,"412":1027,"413":1035,"414":1038,"415":1043,"416":1044,"417":1045,"418":1046,"419":1047,"420":1049,"421":1052,"422":1055,"423":1059,"424":1061,"425":1064,"426":1065,"427":1067,"428":1071,"429":1075,"430":1076,"431":1081,"432":1089,"433":1097,"434":1107,"435":1116,"436":1121,"437":1124,"438":1128,"439":1130,"440":1131,"441":1136,"442":1142,"443":1147,"444":1148,"445":1150},{"0":7,"1":16,"2":39,"3":43,"4":45,"5":47,"6":56,"7":59,"8":60,"9":81,"10":82,"11":90,"12":96,"13":97,"14":99,"15":101,"16":105,"17":106,"18":108,"19":109,"20":130,"21":133,"22":140,"23":142,"24":143,"25":148,"26":149,"27":155,"28":158,"29":164,"30":170,"31":175,"32":180,"33":182,"34":186,"35":197,"36":198,"37":199,"38":205,"39":207,"40":208,"41":209,"42":212,"43":213,"44":217,"45":219,"46":220,"47":221,"48":222,"49":224,"50":225,"51":226,"52":227,"53":228,"54":229,"55":230,"56":231,"57":233,"58":234,"59":236,"60":237,"61":238,"63":240,"64":241,"65":243,"66":244,"67":245,"68":246,"69":248,"70":249,"71":250,"72":251,"73":252,"74":253,"75":254,"76":256,"77":257,"78":258,"79":259,"80":260,"81":261,"82":263,"83":264,"84":266,"85":267,"86":269,"87":270,"88":271,"89":273,"90":274,"91":275,"92":277,"93":278,"94":279,"95":280,"96":283,"97":285,"98":286,"99":287,"100":302,"101":304,"102":305,"103":318,"104":323,"105":325,"106":328,"107":329,"108":330,"109":332,"110":335,"111":345,"112":346,"113":347,"114":348,"115":354,"116":356,"117":359,"118":370,"119":375,"120":376,"121":383,"122":388,"123":393,"124":394,"125":395,"126":398,"127":406,"128":411,"129":413,"130":424,"131":428,"132":434,"133":435,"134":436,"135":439,"136":441,"137":442,"138":443,"139":447,"140":454,"141":457,"142":464,"143":465,"144":473,"145":475,"146":476,"147":487,"148":488,"149":489,"150":494,"151":496,"152":501,"153":502,"154":504,"155":507,"156":509,"157":510,"158":513,"159":514,"160":516,"161":517,"162":519,"164":522,"165":524,"166":526,"167":527,"168":528,"169":531,"170":532,"171":534,"172":537,"173":538,"174":539,"175":540,"176":541,"177":542,"178":543,"179":544,"180":546,"181":547,"182":548,"183":549,"184":551,"185":556,"186":558,"187":560,"188":563,"189":564,"190":566,"191":569,"192":571,"193":572,"194":573,"195":574,"196":576,"197":581,"198":584,"199":586,"200":589,"201":594,"202":596,"203":597,"204":598,"205":600,"206":611,"207":615,"208":616,"209":621,"210":623,"211":633,"212":635,"213":636,"214":637,"215":639,"216":640,"217":643,"218":649,"219":651,"220":654,"221":666,"222":671,"223":672,"224":674,"225":676,"226":677,"227":683,"228":685,"229":686,"230":691,"231":697,"232":708,"233":714,"234":715,"235":722,"236":724,"237":728,"238":737,"239":741,"240":745,"241":751,"242":754,"243":766,"244":767,"245":769,"246":771,"247":772,"248":776,"249":781,"250":782,"251":783,"252":789,"253":790,"254":797,"255":804,"256":806,"257":808,"258":812,"259":813,"260":815,"261":816,"262":817,"263":820,"264":824,"265":825,"266":826,"267":828,"268":830,"269":832,"270":834,"271":837,"272":845,"273":846,"274":849,"275":851,"276":854,"277":859,"278":860,"279":862,"280":867,"281":868,"282":876,"283":879,"284":881,"285":882,"286":886,"287":887,"288":890,"289":892,"290":897,"291":899,"292":901,"293":904,"294":906,"295":908,"296":909,"297":911,"298":913,"299":916,"300":921,"301":923,"302":924,"303":932,"304":934,"305":935,"306":937,"307":941,"308":942,"309":945,"310":946,"311":947,"312":950,"313":952,"314":953,"315":954,"316":955,"317":961,"318":962,"319":965,"320":971,"321":973,"322":987,"323":988,"324":989,"325":995,"326":998,"327":1000,"328":1002,"329":1003,"330":1004,"331":1008,"332":1010,"333":1012,"334":1020,"335":1022,"336":1029,"337":1030,"338":1032,"339":1034,"340":1039,"341":1048,"342":1054,"343":1056,"344":1057,"345":1058,"346":1063,"347":1069,"348":1074,"349":1077,"350":1080,"351":1082,"352":1083,"353":1086,"354":1090,"355":1092,"356":1093,"357":1094,"358":1095,"359":1100,"360":1103,"361":1106,"362":1110,"363":1112,"364":1113,"365":1114,"366":1119,"367":1120,"368":1122,"369":1127,"370":1129,"371":1132,"372":1141,"373":1145,"374":1146},[42,98,123,132,153,154,160,161,189,202,203,204,206,210,211,214,215,216,218,223,232,235,247,255,265,272,281,282,284,342,400,412,440,482,490,492,493,495,499,503,505,506,508,511,515,518,520,523,529,530,533,535,536,545,550,552,553,554,555,557,559,561,562,565,567,568,570,575,578,595,599,602,604,612,614,617,618,625,626,631,632,638,641,659,662,669,675,684,693,695,702,705,706,707,711,713,719,727,730,735,753,755,764,770,778,793,796,798,799,800,803,814,827,833,835,838,842,843,844,847,857,858,861,865,866,869,896,898,912,920,927,928,931,933,949,951,958,963,966,968,972,983,985,986,990,996,999,1005,1013,1025,1028,1036,1041,1051,1053,1060,1068,1072,1073,1098,1102,1108,1111,1115,1123,1125,1126,1134,1135,1138,1139,1140,1144],[201,242,262,276,334,491,497,498,512,525,583,585,608,609,613,620,622,630,653,656,664,665,668,682,687,689,690,692,701,712,721,726,732,736,738,739,740,752,758,762,765,773,780,785,788,795,801,807,809,811,819,839,853,855,871,873,883,893,910,926,943,944,948,964,970,974,975,1009,1014,1031,1033,1062,1066,1078,1084,1087,1088,1104,1105,1109,1133,1137,1143,1149],[200,268,500,607,645,646,647,652,660,680,698,729,733,747,823,836,841,888,917,938,939,959,980,981,982,991,993,1007,1016,1024,1040,1042,1079,1091,1096,1099,1117,1151],[577,610,619,642,661,670,718,822,831,848,850,880,889,919,936,976,1021,1037,1070,1101],[699,905,925,957,997,1001,1050],[673,731,749,894,895,977,1085],[984,1118]]