[{"0":0,"1":1,"2":2,"3":3,"4":4,"5":5,"6":7,"7":8,"8":10,"9":12,"10":13,"11":14,"12":15,"13":16,"14":19,"15":22,"16":24,"17":26,"18":28,"19":29,"20":30,"21":32,"22":33,"23":34,"24":35,"25":36,"26":37,"27":39,"28":40,"29":41,"30":42,"31":43,"32":44,"33":45,"34":46,"35":47,"36":48,"37":49,"38":51,"39":52,"40":53,"41":54,"42":56,"43":57,"44":58,"45":59,"46":61,"47":63,"48":64,"49":65,"50":66,"51":67,"52":69,"53":70,"54":72,"55":73,"56":74,"57":75,"58":76,"59":77,"60":79,"61":80,"62":81,"63":83,"64":84,"65":85,"66":86,"68":88,"69":89,"70":90,"71":91,"72":92,"74":95,"75":96,"76":97,"77":98,"78":99,"79":100,"80":101,"81":103,"82":104,"83":105,"84":106,"85":107,"86":108,"87":110,"88":111,"89":112,"90":113,"91":114,"92":116,"93":118,"94":119,"95":121,"96":122,"97":125,"98":127,"99":128,"100":129,"101":130,"102":131,"103":132,"104":133,"105":135,"106":136,"107":137,"108":138,"109":139,"110":141,"111":142,"112":143,"113":144,"114":145,"115":146,"116":149,"117":150,"118":151,"119":152,"120":154,"121":155,"122":156,"123":158,"124":159,"125":161,"126":162,"127":163,"128":164,"129":165,"130":167,"131":169,"132":170,"133":172,"134":173,"135":174,"136":176,"137":179,"138":182,"139":184,"140":185,"141":187,"142":188,"143":189,"144":190,"145":288,"147":290,"148":291,"149":292,"150":293,"151":294,"152":295,"154":297,"156":299,"157":300,"158":301,"159":302,"160":304,"161":305,"162":307,"163":308,"164":309,"165":310,"166":311,"167":312,"168":313,"169":314,"170":315,"171":316,"172":317,"173":318,"174":319,"175":320,"177":322,"178":326,"179":327,"180":328,"181":329,"182":330,"183":331,"184":333,"185":334,"186":335,"187":337,"188":338,"189":339,"190":341,"191":342,"192":343,"193":344,"194":345,"195":348,"196":349,"197":355,"198":356,"199":357,"200":358,"201":359,"202":360,"203":361,"204":362,"205":363,"206":364,"207":365,"208":367,"209":368,"210":369,"211":370,"212":371,"213":372,"214":373,"215":374,"216":375,"217":376,"218":377,"219":378,"220":379,"221":381,"222":382,"223":383,"224":384,"225":385,"226":386,"227":387,"228":388,"229":389,"230":390,"231":391,"232":392,"233":393,"234":394,"235":395,"236":396,"237":397,"238":399,"239":402,"240":403,"241":404,"242":405,"243":406,"244":408,"245":410,"246":411,"247":415,"248":416,"249":417,"250":420,"251":421,"252":423,"253":424,"254":425,"255":426,"256":427,"257":428,"258":429,"259":430,"260":432,"261":433,"262":435,"263":436,"264":437,"265":438,"266":439,"267":443,"268":444,"269":447,"270":448,"271":449,"272":451,"273":452,"274":453,"275":454,"276":455,"277":456,"278":457,"279":458,"280":459,"281":460,"282":462,"283":463,"284":465,"285":466,"286":467,"287":470,"288":471,"289":473,"290":474,"291":475,"292":477,"293":478,"294":479,"295":481,"296":578,"297":587,"298":589,"299":590,"300":591,"301":597,"302":611,"303":613,"304":615,"305":622,"306":625,"307":629,"308":632,"309":634,"310":645,"311":647,"312":653,"313":660,"314":662,"315":666,"316":668,"317":670,"318":674,"319":680,"320":683,"321":684,"322":686,"323":688,"324":696,"325":697,"326":698,"327":699,"328":700,"329":704,"330":708,"331":716,"332":731,"333":739,"334":746,"336":756,"337":758,"338":760,"339":777,"340":779,"341":783,"342":790,"343":794,"344":799,"345":801,"346":803,"347":805,"348":806,"349":810,"350":816,"351":828,"352":839,"353":842,"354":844,"355":846,"356":853,"357":860,"358":866,"359":868,"360":869,"361":875,"362":879,"363":881,"364":883,"365":884,"366":885,"367":891,"368":896,"369":902,"370":905,"371":918,"372":922,"374":932,"375":937,"376":943,"377":951,"378":959,"379":960,"380":962,"381":965,"382":967,"383":971,"384":972,"385":974,"386":979,"387":980,"388":981,"389":991,"390":993,"391":997,"392":999,"393":1005,"394":1006,"395":1007,"396":1009,"397":1011,"398":1018,"399":1020,"400":1027,"401":1028,"402":1030,"403":1036,"404":1038,"405":1041,"406":1042,"407":1044,"408":1050,"409":1053,"410":1056,"411":1060,"412":1061,"413":1067,"414":1068,"415":1069,"416":1073,"417":1078,"418":1083,"419":1090,"420":1092,"421":1101,"422":1107,"423":1108,"424":1112,"425":1117,"426":1122,"427":1128,"428":1129,"429":1142,"430":1146,"431":1149},{"0":6,"1":9,"3":17,"4":18,"5":20,"6":21,"7":23,"8":25,"9":27,"10":31,"11":38,"12":50,"13":55,"14":62,"15":68,"17":78,"18":82,"19":94,"20":102,"21":109,"22":115,"23":117,"24":123,"25":126,"26":134,"27":147,"28":148,"29":153,"30":157,"31":160,"32":166,"33":168,"34":171,"35":175,"36":178,"37":180,"38":181,"39":186,"40":191,"41":192,"42":193,"43":195,"44":198,"45":200,"46":201,"47":202,"48":204,"49":206,"50":210,"51":213,"53":215,"54":216,"55":217,"56":221,"57":222,"58":223,"59":225,"60":227,"61":228,"62":230,"63":233,"65":236,"66":237,"67":239,"68":241,"69":242,"70":243,"71":244,"72":245,"73":246,"74":247,"75":248,"76":251,"77":252,"78":254,"79":255,"80":256,"81":260,"82":261,"83":262,"84":266,"85":268,"86":269,"87":270,"88":272,"89":273,"90":274,"91":275,"92":277,"93":279,"94":280,"96":282,"97":283,"98":285,"99":303,"100":306,"101":323,"102":324,"103":325,"104":332,"105":336,"106":340,"107":346,"108":350,"109":351,"110":352,"111":366,"112":380,"113":398,"114":400,"115":401,"116":407,"117":409,"118":412,"119":413,"120":414,"121":418,"122":419,"123":422,"124":431,"125":434,"126":442,"127":445,"128":446,"129":461,"130":464,"131":468,"132":469,"133":472,"134":476,"135":480,"136":484,"137":485,"138":489,"139":490,"140":493,"141":494,"142":496,"143":497,"144":499,"145":501,"146":502,"147":503,"148":504,"149":506,"150":507,"151":508,"152":509,"153":510,"154":511,"155":512,"156":516,"157":517,"158":518,"159":519,"161":523,"162":524,"163":525,"164":526,"165":528,"166":529,"167":531,"168":532,"169":537,"170":538,"171":539,"172":541,"173":543,"174":545,"175":546,"176":547,"177":548,"178":551,"179":552,"180":554,"181":555,"182":556,"183":558,"184":560,"185":561,"186":562,"187":563,"188":566,"189":568,"190":569,"191":570,"192":571,"193":572,"194":573,"195":575,"196":581,"197":583,"198":592,"199":596,"200":601,"201":605,"202":606,"203":610,"204":612,"205":614,"206":618,"207":619,"208":621,"209":626,"210":633,"211":637,"212":641,"213":651,"214":663,"215":667,"216":675,"217":682,"218":690,"219":703,"220":705,"221":707,"222":709,"223":711,"224":713,"225":718,"226":719,"227":724,"228":730,"229":738,"230":740,"231":741,"232":742,"233":748,"234":750,"235":753,"236":755,"237":757,"238":761,"239":763,"240":764,"241":769,"242":770,"243":775,"244":776,"245":778,"246":781,"247":802,"248":807,"249":809,"250":817,"251":818,"252":822,"253":827,"254":829,"255":830,"256":831,"257":835,"258":836,"259":841,"260":845,"261":850,"262":855,"263":861,"264":862,"265":878,"266":882,"267":888,"268":894,"269":900,"270":901,"271":903,"272":916,"273":920,"274":926,"275":929,"276":930,"277":935,"278":950,"279":952,"280":957,"281":982,"282":989,"283":990,"284":996,"285":998,"286":1000,"287":1010,"288":1012,"289":1016,"290":1021,"291":1029,"292":1033,"293":1037,"294":1040,"295":1045,"296":1051,"297":1055,"298":1059,"299":1082,"300":1085,"301":1086,"302":1087,"303":1089,"304":1091,"305":1094,"306":1098,"307":1104,"308":1105,"309":1109,"310":1113,"311":1114,"312":1116,"313":1120,"314":1131,"315":1135,"316":1139,"317":1144,"318":1150,"319":1151},[60,124,140,177,183,194,196,197,199,205,207,208,209,211,212,218,219,220,224,226,229,231,234,238,240,249,257,258,259,263,267,271,276,278,284,286,287,347,353,354,440,441,450,482,483,486,487,488,491,492,498,500,505,513,514,515,520,527,530,534,536,540,544,549,550,553,557,559,567,574,582,585,586,595,600,617,620,646,655,658,661,669,677,678,679,687,695,701,706,714,717,721,729,735,743,744,747,751,762,774,780,782,784,785,786,789,793,798,808,811,813,824,825,837,849,851,859,863,865,873,874,876,899,906,907,919,924,928,931,933,936,944,958,961,963,978,984,986,1002,1014,1017,1019,1025,1047,1048,1058,1062,1063,1076,1077,1079,1080,1088,1095,1097,1111,1115,1121,1123,1127,1136,1138,1140,1148],{"0":120,"1":203,"2":232,"3":250,"4":253,"5":264,"6":265,"7":495,"8":521,"9":533,"10":535,"11":542,"12":564,"13":565,"14":584,"15":594,"16":623,"17":630,"18":635,"19":639,"20":640,"21":642,"22":643,"23":652,"24":656,"25":665,"26":681,"27":692,"28":693,"29":710,"30":722,"31":723,"32":725,"33":734,"34":745,"35":749,"36":766,"37":767,"38":771,"39":773,"40":787,"42":800,"43":804,"44":812,"45":819,"46":823,"47":833,"48":870,"49":872,"50":877,"51":886,"52":889,"53":898,"54":908,"55":910,"56":911,"57":912,"58":917,"59":927,"60":934,"61":938,"62":942,"63":948,"64":955,"65":970,"66":973,"67":983,"68":985,"69":987,"70":988,"71":1001,"72":1004,"73":1008,"74":1024,"75":1026,"76":1031,"77":1035,"78":1043,"79":1046,"80":1057,"81":1064,"82":1065,"83":1072,"84":1096,"85":1100,"86":1102,"87":1106,"88":1110,"89":1118,"90":1119,"91":1126,"92":1132,"93":1145},[580,593,599,608,609,624,627,631,650,654,657,664,672,673,691,702,712,715,720,726,727,752,772,788,791,792,797,847,852,887,892,921,946,953,956,964,977,1003,1013,1015,1022,1032,1034,1039,1054,1070,1099,1124,1134,1137,1143],[576,602,603,607,648,659,685,694,728,732,733,736,737,796,821,832,848,880,895,909,913,940,954,975,994,995,1023,1125,1130],[628,636,834,854,871,897,915,939,968,976,992,1052,1075,1081,1084,1093,1133,1141],{"1":644,"2":649,"3":815,"4":820,"5":843,"6":858,"8":890,"9":893,"10":904},{"0":579,"2":765,"3":768,"5":838,"6":925,"7":945,"8":947,"9":1071},{"0":616,"1":759,"3":867,"4":966,"5":1074,"6":1103},[604,949,969,1066],[598,676,689,826,857,941],[588],[],[]]