[{"0":0,"1":2,"2":3,"3":5,"4":7,"5":8,"6":9,"7":10,"8":11,"9":12,"10":13,"11":14,"13":16,"15":18,"16":20,"17":21,"18":22,"19":23,"20":25,"21":26,"22":27,"23":28,"24":29,"25":30,"26":31,"27":32,"28":33,"29":34,"30":35,"31":36,"32":38,"33":39,"34":42,"35":43,"36":44,"37":45,"38":47,"39":48,"40":49,"41":50,"43":52,"44":54,"45":56,"46":57,"47":59,"48":60,"49":61,"50":62,"51":63,"52":64,"53":65,"54":66,"55":67,"56":70,"57":71,"58":73,"59":74,"60":75,"61":76,"62":78,"63":80,"64":81,"65":83,"66":84,"67":85,"68":86,"69":89,"70":90,"71":93,"72":97,"73":98,"74":99,"75":100,"76":101,"77":102,"78":103,"79":106,"80":288,"81":289,"82":290,"83":291,"84":292,"85":293,"86":294,"87":295,"88":296,"89":297,"90":298,"91":300,"92":301,"93":302,"94":303,"95":304,"96":305,"97":306,"98":307,"99":308,"100":309,"101":311,"102":312,"103":313,"104":317,"105":318,"106":319,"107":320,"108":322,"109":323,"110":324,"111":325,"112":327,"113":328,"114":329,"115":330,"116":331,"117":332,"118":333,"119":334,"120":335,"121":336,"122":337,"123":338,"124":339,"125":340,"126":341,"127":343,"128":344,"129":345,"130":346,"131":347,"132":350,"133":354,"134":357,"135":359,"136":360,"137":362,"138":363,"139":365,"140":368,"141":369,"142":371,"143":372,"144":373,"145":374,"146":376,"147":378,"148":379,"149":383,"150":385,"151":386,"152":387,"153":388,"154":389,"155":391,"156":392,"157":393,"158":394,"159":395,"160":576,"161":582,"162":583,"163":589,"164":594,"165":604,"166":606,"167":607,"168":611,"169":634,"170":636,"171":639,"172":640,"173":647,"174":657,"175":661,"176":669,"177":676,"178":687,"179":697,"180":699,"181":715,"182":716,"183":741,"184":748,"185":759,"186":761,"187":764,"188":773,"189":777,"190":781,"191":794,"192":800,"193":832,"194":849,"195":856,"196":861,"197":862,"198":869,"199":873,"200":879,"201":885,"202":893,"203":902,"204":914,"205":917,"206":945,"207":946,"208":948,"209":960,"210":970,"211":973,"212":975,"213":979,"214":1007,"215":1016,"216":1024,"217":1040,"218":1044,"219":1059,"220":1088,"221":1090,"222":1098,"223":1108,"224":1124,"225":1125,"226":1136,"227":1141,"228":1146,"229":1150,"230":1151},{"0":1,"1":4,"2":6,"3":19,"4":24,"5":37,"6":40,"7":46,"8":53,"9":55,"10":58,"11":68,"12":69,"13":72,"14":77,"15":82,"16":88,"17":91,"18":92,"19":94,"20":95,"21":105,"22":107,"23":112,"24":116,"25":120,"26":121,"27":122,"28":125,"29":126,"30":127,"31":128,"32":130,"33":131,"34":132,"35":133,"36":134,"37":135,"38":136,"39":139,"40":141,"41":142,"42":143,"43":148,"44":150,"45":152,"46":159,"47":161,"48":163,"50":166,"51":168,"52":169,"53":170,"54":171,"55":173,"56":174,"57":176,"58":178,"59":179,"60":180,"61":181,"62":183,"63":184,"64":186,"65":187,"66":188,"67":190,"68":192,"69":193,"70":198,"71":199,"72":201,"73":202,"74":203,"75":205,"76":206,"77":207,"78":208,"79":210,"80":212,"81":213,"82":214,"83":217,"84":220,"85":223,"86":224,"87":225,"88":299,"89":310,"90":314,"91":315,"92":316,"93":321,"94":326,"95":342,"96":348,"97":349,"98":351,"99":353,"100":355,"101":356,"102":358,"103":361,"104":364,"105":366,"106":370,"107":377,"108":382,"109":384,"110":390,"111":396,"112":397,"113":398,"114":399,"115":400,"116":402,"117":406,"118":410,"119":411,"120":412,"121":413,"122":415,"123":416,"124":417,"125":420,"126":421,"127":422,"128":423,"129":424,"130":425,"131":426,"132":427,"133":433,"134":435,"135":436,"136":437,"137":441,"138":443,"139":444,"140":446,"141":448,"142":449,"143":451,"144":452,"145":454,"146":455,"147":456,"148":457,"149":458,"150":459,"151":460,"152":461,"153":462,"154":463,"155":464,"156":465,"157":467,"158":468,"160":473,"161":475,"162":476,"163":477,"164":479,"165":480,"166":481,"167":482,"168":483,"169":484,"170":485,"171":486,"172":489,"173":497,"174":500,"175":501,"176":504,"177":506,"178":508,"179":510,"180":511,"181":513,"182":577,"183":581,"184":605,"185":610,"186":622,"187":630,"188":638,"189":642,"190":675,"191":677,"192":689,"193":708,"194":723,"195":733,"196":737,"197":749,"198":753,"199":757,"200":763,"201":768,"202":780,"203":788,"204":789,"205":791,"206":802,"207":804,"208":810,"209":814,"210":817,"211":824,"212":837,"213":859,"214":864,"215":866,"216":881,"217":894,"218":896,"219":901,"220":906,"221":913,"222":923,"223":924,"224":949,"225":964,"226":966,"227":968,"228":971,"229":972,"230":1002,"231":1011,"232":1020,"233":1022,"234":1032,"235":1035,"236":1042,"237":1049,"238":1051,"239":1052,"240":1053,"241":1055,"242":1057,"243":1061,"244":1066,"245":1072,"246":1074,"247":1075,"248":1102,"249":1130,"250":1145,"251":1147,"252":1149},[41,79,87,96,104,109,110,111,113,114,115,117,119,123,137,138,140,145,146,147,149,153,154,155,157,160,162,165,167,172,175,177,182,185,189,191,194,195,196,197,200,204,209,211,215,216,218,221,222,226,230,232,234,235,236,238,239,241,242,243,246,247,248,249,250,251,254,257,263,264,266,267,270,272,275,276,277,278,279,280,281,286,367,375,380,401,404,407,408,409,414,418,429,430,431,432,434,439,440,442,445,450,453,466,469,471,478,487,490,491,492,493,494,495,499,502,505,507,509,512,515,520,522,523,525,529,530,531,532,534,535,536,537,538,539,540,542,543,550,551,552,553,554,555,556,564,567,573,574,575,585,592,593,608,613,619,620,623,637,656,671,672,678,683,685,698,702,704,711,725,736,743,745,750,752,793,801,803,807,811,825,836,855,858,874,886,888,895,898,904,907,918,927,930,934,937,956,974,976,978,996,1034,1054,1063,1068,1076,1077,1087,1091,1110,1119,1121,1122,1132,1134,1135,1142],{"0":108,"1":118,"2":124,"3":129,"4":144,"5":151,"6":156,"7":158,"8":227,"9":228,"10":229,"11":231,"12":237,"13":240,"14":244,"15":245,"16":252,"17":253,"18":255,"19":256,"20":258,"21":259,"22":260,"23":261,"24":262,"25":268,"26":269,"27":271,"28":273,"29":274,"30":282,"31":283,"32":284,"33":352,"34":381,"35":403,"36":405,"37":419,"38":428,"39":438,"40":447,"41":472,"42":474,"43":496,"44":498,"45":503,"46":514,"47":516,"48":517,"49":521,"50":526,"51":527,"52":528,"53":533,"54":541,"55":544,"56":545,"57":546,"58":547,"59":548,"60":560,"61":563,"62":565,"63":566,"64":568,"65":569,"66":570,"67":572,"68":587,"69":595,"70":599,"71":601,"72":603,"73":615,"74":617,"75":618,"76":626,"77":627,"78":631,"79":644,"80":645,"81":660,"82":664,"83":665,"84":670,"85":701,"86":703,"87":705,"88":706,"89":726,"90":728,"91":734,"92":751,"93":756,"94":758,"95":762,"96":778,"97":783,"98":784,"99":792,"100":799,"101":822,"102":843,"103":848,"104":863,"105":870,"106":887,"107":890,"109":905,"110":915,"111":926,"112":944,"113":947,"114":950,"115":951,"116":957,"117":982,"118":992,"119":1000,"120":1013,"121":1015,"122":1017,"123":1027,"124":1031,"125":1036,"126":1060,"127":1062,"128":1064,"129":1071,"130":1085,"131":1094,"132":1111,"133":1128},[219,233,265,285,287,488,518,519,524,549,557,558,559,561,562,571,584,588,591,602,614,616,624,646,649,654,666,710,721,724,730,731,732,754,767,779,785,796,813,818,829,840,842,844,868,877,880,916,933,935,939,942,952,954,955,965,967,980,986,987,990,998,999,1001,1004,1012,1029,1045,1048,1056,1065,1078,1095,1096,1105,1117,1140],[590,628,629,650,655,680,686,693,774,786,790,797,805,808,819,820,833,834,871,875,878,908,910,911,920,932,941,962,969,977,984,985,1009,1038,1039,1070,1079,1083,1089,1093,1107,1113,1114,1120,1129,1131,1138],{"0":580,"1":633,"2":643,"3":651,"4":662,"5":684,"6":696,"7":713,"8":727,"9":739,"10":746,"11":760,"12":771,"13":798,"14":826,"15":827,"16":835,"17":838,"18":852,"19":860,"20":867,"21":891,"22":892,"23":909,"24":921,"25":981,"26":983,"27":1030,"28":1069,"29":1073,"30":1103,"31":1106,"33":1118,"34":1126,"35":1148},[632,641,652,688,691,712,735,738,747,772,816,830,847,854,919,931,953,959,988,1014,1026,1058,1067,1084,1086,1092,1097,1104,1127,1133,1137],{"0":635,"1":648,"2":674,"3":690,"4":695,"5":740,"6":742,"7":755,"8":775,"9":776,"10":795,"11":809,"13":839,"14":846,"15":872,"16":882,"17":900,"18":1023,"19":1099},[578,600,621,673,720,782,787,821,841,851,857,883,889,922,925,963,1005,1018,1021,1041,1047,1101,1123],[625,653,667,718,729,828,853,884,928,938,991,994,997,1003,1019,1043,1046,1080,1143],[609,658,668,709,744,769,815,831,850,876,912,936,940,1006,1008,1025,1050,1139],[586,598,659,679,682,700,707,719,989,1010,1028,1033,1081],[692,714,958,995,1082,1109,1112],[596,612,663,694,765,961,1100,1144],[579,766,806,845,865,897,903,993,1037],[681,717,722,823,929,1116],[770],[597,943]]