[{"0":0,"1":1,"2":2,"3":4,"4":5,"5":6,"6":9,"7":10,"8":11,"9":13,"10":14,"11":15,"12":16,"13":17,"14":18,"15":19,"17":22,"18":23,"19":24,"20":25,"21":26,"22":27,"23":28,"24":30,"25":33,"26":34,"27":35,"28":36,"29":39,"31":42,"32":43,"33":44,"34":45,"35":46,"36":47,"37":48,"38":49,"39":50,"40":51,"41":52,"42":54,"43":55,"44":56,"45":57,"46":58,"47":59,"48":61,"49":62,"50":63,"51":65,"52":66,"53":68,"54":73,"55":74,"56":75,"57":76,"58":78,"59":79,"60":81,"61":82,"62":84,"63":85,"64":86,"65":89,"66":90,"67":93,"68":94,"69":96,"70":97,"71":98,"72":100,"73":101,"74":103,"75":104,"76":105,"77":106,"78":107,"80":111,"81":112,"82":288,"83":289,"84":290,"85":291,"86":292,"87":293,"88":295,"89":296,"90":297,"91":298,"92":299,"93":300,"94":301,"95":305,"96":307,"97":308,"98":310,"99":314,"100":315,"101":316,"102":317,"103":319,"104":321,"105":322,"106":324,"107":326,"108":327,"109":329,"110":330,"111":331,"112":332,"113":333,"114":334,"115":335,"116":336,"117":339,"118":340,"119":341,"120":342,"121":344,"122":347,"123":348,"124":349,"125":351,"126":352,"127":354,"128":358,"129":359,"130":362,"131":363,"132":365,"133":366,"134":367,"135":368,"136":370,"137":371,"138":372,"139":374,"140":375,"141":377,"142":378,"143":379,"144":380,"145":381,"146":385,"147":386,"148":387,"149":388,"150":389,"151":390,"152":391,"153":392,"154":395,"155":397,"156":398,"157":399,"158":400,"159":401,"160":578,"161":599,"162":600,"163":604,"164":608,"165":609,"166":614,"167":618,"168":628,"169":629,"170":632,"171":636,"172":638,"173":645,"174":646,"175":647,"176":650,"177":651,"178":658,"179":664,"180":671,"181":680,"182":688,"184":700,"185":711,"186":734,"187":736,"188":739,"189":751,"190":761,"191":770,"192":772,"193":773,"194":777,"195":780,"196":782,"197":785,"198":788,"199":790,"200":803,"201":808,"202":822,"203":832,"204":837,"205":851,"206":854,"207":869,"208":876,"209":904,"210":907,"211":908,"212":910,"213":919,"214":926,"215":938,"216":964,"217":966,"218":969,"219":971,"220":995,"221":1005,"222":1010,"223":1018,"224":1022,"225":1023,"226":1024,"227":1034,"228":1043,"229":1056,"230":1058,"231":1059,"232":1077,"233":1089,"234":1107,"235":1109,"236":1124,"237":1129,"238":1135,"239":1140,"240":1141,"241":1145,"242":1147},{"0":3,"1":7,"2":8,"3":21,"4":29,"5":31,"6":32,"7":37,"8":38,"9":41,"10":53,"11":60,"13":67,"14":69,"15":71,"16":77,"17":80,"18":91,"19":92,"20":95,"21":99,"22":102,"23":109,"24":110,"25":113,"26":115,"27":116,"28":117,"29":118,"30":119,"31":120,"32":121,"33":122,"34":124,"35":125,"36":126,"37":127,"38":128,"39":133,"40":136,"41":139,"42":142,"43":144,"44":145,"45":146,"46":149,"47":150,"48":151,"49":152,"50":153,"51":154,"52":156,"53":162,"54":163,"55":164,"56":165,"57":166,"58":168,"59":169,"60":171,"61":172,"62":174,"63":177,"64":178,"65":181,"66":183,"67":185,"68":186,"69":188,"70":190,"71":191,"72":192,"73":195,"74":199,"75":201,"76":202,"77":203,"78":205,"79":206,"80":207,"81":208,"82":210,"83":212,"84":213,"85":217,"86":219,"87":220,"88":221,"89":222,"90":223,"91":224,"92":225,"93":227,"94":229,"95":294,"96":302,"97":303,"98":304,"99":306,"100":309,"101":311,"102":312,"103":313,"104":318,"105":320,"106":323,"107":325,"108":328,"109":337,"110":338,"111":343,"112":345,"113":346,"114":350,"115":353,"116":355,"117":356,"118":357,"119":361,"120":364,"121":373,"122":376,"123":382,"124":383,"125":384,"126":393,"127":394,"128":402,"129":403,"130":405,"131":406,"132":407,"133":408,"134":409,"135":410,"136":411,"137":412,"138":414,"139":416,"140":418,"141":420,"142":421,"143":424,"144":425,"145":427,"146":428,"147":429,"148":430,"149":435,"150":436,"151":437,"152":438,"153":439,"154":441,"155":442,"156":443,"157":446,"158":447,"159":448,"160":450,"161":451,"162":452,"163":453,"164":454,"165":455,"166":456,"167":458,"168":459,"169":460,"170":461,"171":462,"172":464,"173":468,"174":470,"175":473,"176":474,"177":475,"178":476,"179":477,"180":478,"181":479,"182":485,"183":486,"184":491,"185":492,"186":494,"187":496,"188":498,"189":499,"190":501,"191":502,"192":503,"193":505,"194":506,"195":507,"196":512,"197":513,"198":515,"199":516,"200":518,"201":581,"202":602,"203":606,"204":611,"205":616,"206":620,"207":625,"208":626,"209":654,"210":655,"211":657,"212":663,"213":681,"214":683,"215":694,"216":705,"217":707,"218":708,"219":709,"220":725,"221":730,"222":731,"223":733,"224":756,"225":763,"226":776,"227":814,"228":825,"229":827,"230":831,"231":835,"232":856,"233":858,"234":862,"235":873,"236":882,"237":883,"238":889,"239":894,"240":897,"241":902,"242":922,"243":925,"244":935,"245":948,"246":970,"247":974,"248":981,"249":988,"250":992,"251":997,"252":1000,"253":1001,"254":1008,"255":1019,"256":1021,"257":1027,"258":1037,"259":1039,"260":1040,"261":1041,"262":1044,"263":1047,"264":1054,"265":1057,"266":1061,"267":1065,"268":1073,"269":1078,"270":1090,"271":1101,"272":1108,"273":1113,"274":1119,"275":1125,"276":1133,"277":1139,"278":1143},{"0":12,"1":72,"2":83,"3":87,"4":88,"5":114,"6":123,"7":129,"8":130,"9":131,"10":132,"11":134,"13":137,"14":138,"15":143,"16":147,"17":148,"18":155,"19":158,"20":159,"21":160,"22":161,"23":167,"24":170,"25":173,"26":176,"27":180,"28":182,"29":187,"30":189,"31":193,"32":194,"33":196,"34":198,"35":200,"36":209,"37":211,"38":216,"39":226,"40":228,"41":230,"42":233,"43":235,"44":238,"45":239,"46":241,"47":242,"48":243,"49":244,"50":245,"51":248,"52":249,"53":251,"54":253,"55":255,"56":259,"57":261,"58":262,"59":263,"60":266,"61":268,"62":269,"63":272,"64":273,"65":274,"66":277,"67":278,"68":280,"69":281,"70":286,"71":287,"72":360,"73":369,"74":396,"75":404,"76":413,"77":415,"78":417,"79":419,"80":422,"81":423,"82":426,"83":432,"84":434,"85":440,"86":444,"87":445,"88":449,"89":457,"90":463,"91":465,"92":466,"93":467,"94":471,"95":472,"96":481,"97":482,"98":483,"99":484,"100":487,"101":488,"102":489,"103":490,"104":493,"105":495,"106":500,"107":504,"108":508,"109":510,"110":511,"111":514,"112":519,"113":525,"114":526,"115":527,"116":528,"117":530,"118":532,"119":536,"120":539,"121":540,"122":541,"123":543,"124":545,"125":546,"126":547,"127":549,"128":553,"129":555,"130":556,"131":566,"132":567,"133":572,"134":574,"135":575,"136":582,"137":584,"138":589,"139":590,"140":607,"141":624,"142":630,"143":668,"144":676,"145":685,"146":690,"147":701,"148":706,"149":710,"150":716,"151":748,"152":766,"153":771,"154":775,"155":786,"156":798,"157":802,"158":810,"159":829,"160":834,"161":839,"162":843,"163":864,"164":886,"165":899,"166":900,"167":903,"168":905,"169":942,"170":972,"171":980,"172":982,"173":983,"174":984,"175":985,"176":989,"177":991,"178":993,"179":1003,"180":1006,"181":1025,"182":1048,"183":1050,"184":1051,"185":1062,"186":1074,"187":1075,"188":1083,"189":1085,"190":1097,"191":1098,"192":1117,"193":1121,"194":1126,"195":1151},[140,141,175,184,197,214,215,218,231,232,240,246,247,250,254,256,257,260,264,265,270,279,282,285,431,469,480,497,520,522,523,524,531,535,537,538,542,544,548,550,551,552,554,558,559,561,562,563,565,569,570,571,579,596,605,613,622,631,637,640,653,661,669,697,719,720,724,735,740,744,747,769,783,799,804,819,848,855,867,875,879,892,909,913,931,934,943,946,994,1004,1013,1014,1031,1049,1070,1072,1087,1088,1091,1093,1095,1103,1104,1111,1122,1142,1146,1149],[70,157,179,204,234,236,237,252,258,267,271,275,283,433,509,517,521,529,533,534,560,564,568,587,617,641,643,652,667,674,689,695,754,758,765,779,797,813,821,830,833,836,852,866,871,877,884,921,927,928,958,961,990,1009,1035,1036,1053,1064,1066,1068,1096,1112,1115,1123],[276,284,557,573,588,597,612,623,627,673,677,684,686,687,698,699,703,728,732,749,750,753,787,807,812,824,838,847,880,888,929,944,957,960,977,1026,1029,1032,1042,1052,1067,1076,1082,1094,1102,1131,1132,1144],[585,621,660,665,672,691,702,714,722,726,727,738,752,767,781,795,801,809,816,820,826,868,870,872,874,887,893,920,940,951,986,987,996,998,1011,1012,1020,1060,1079,1110,1114,1116,1120],[592,610,619,634,717,721,745,762,774,794,811,890,898,912,915,930,932,937,956,959,965,1028,1063,1080,1081,1100,1130],[583,595,615,678,682,713,723,729,746,793,815,818,828,844,857,952,962,978,1015,1069,1084,1092,1106],[580,591,662,675,696,712,743,759,768,778,784,806,845,849,863,911,924,967,1033,1055,1099,1138],[598,679,741,742,757,764,805,846,859,861,878,896,936,941,945,950,963,968,1038,1150],[586,603,704,715,718,737,796,817,914,975,976,1071,1127,1134,1137],[594,635,639,644,666,692,792,865,891,1118],[577,656,800,850,860,885,918,1086,1105,1128,1136,1148],[633,648,670,789,823,953,954,1016,1017,1030,1046],[576,593,755,906,917,933,947,999],[601,642,791,853,916,955,973],[659,842,881,1045],[649,760,840,841,901,979,1002,1007],[895,949],[923,939]]