[{"0":0,"1":1,"2":2,"3":4,"4":5,"5":8,"6":10,"7":11,"8":12,"9":14,"10":15,"11":16,"12":17,"13":18,"14":20,"15":21,"16":23,"17":26,"18":28,"19":29,"20":31,"21":32,"22":33,"23":34,"24":37,"25":38,"26":39,"27":41,"28":44,"29":47,"30":49,"31":50,"32":53,"33":55,"34":56,"35":58,"36":61,"37":62,"38":63,"39":64,"40":66,"41":67,"42":69,"43":72,"44":73,"45":74,"46":77,"47":78,"48":80,"49":81,"50":83,"51":85,"52":87,"53":88,"54":89,"55":90,"56":92,"57":93,"58":94,"59":95,"60":288,"61":290,"63":292,"64":293,"65":294,"66":296,"67":298,"68":299,"69":300,"70":302,"71":303,"72":304,"73":305,"74":308,"75":309,"76":310,"77":312,"78":313,"79":314,"80":316,"81":317,"82":318,"83":319,"84":320,"85":321,"86":322,"87":323,"88":324,"89":325,"90":328,"91":329,"93":331,"94":332,"95":333,"96":334,"97":335,"98":336,"99":338,"100":339,"101":340,"102":341,"103":342,"104":344,"105":345,"106":348,"107":349,"108":351,"109":354,"110":355,"111":356,"112":357,"113":358,"114":362,"115":364,"116":365,"117":366,"118":367,"119":368,"120":370,"121":371,"122":373,"123":374,"124":376,"125":377,"126":378,"127":379,"128":380,"129":381,"130":382,"131":383,"132":384,"133":576,"134":588,"135":607,"136":608,"137":615,"138":627,"139":631,"140":638,"141":653,"142":673,"143":674,"144":675,"145":685,"146":687,"147":689,"148":695,"149":724,"150":727,"151":732,"152":740,"153":744,"154":745,"155":767,"156":769,"157":772,"158":778,"159":789,"160":792,"161":793,"162":798,"163":800,"164":802,"165":809,"166":817,"167":820,"168":832,"169":836,"170":838,"171":840,"172":848,"173":861,"174":887,"175":890,"176":898,"177":899,"178":904,"179":915,"180":933,"181":936,"182":948,"183":957,"184":959,"185":976,"186":978,"187":991,"188":1001,"189":1015,"190":1021,"191":1026,"192":1030,"193":1032,"194":1036,"195":1054,"196":1074,"197":1078,"198":1092,"199":1098,"200":1113,"201":1117,"202":1120,"203":1121,"204":1122,"205":1128,"206":1131,"207":1148,"208":1149,"209":1151},[6,7,9,13,19,22,24,25,30,35,36,40,43,45,48,54,65,68,70,79,82,84,91,96,97,99,103,105,106,107,108,109,112,114,115,116,121,129,131,132,133,134,136,137,138,139,141,142,146,151,152,153,158,159,161,163,165,166,167,169,170,171,172,173,175,176,178,179,180,185,186,187,188,192,195,198,199,200,202,206,209,289,295,297,306,307,315,326,327,343,346,347,352,359,363,385,387,390,392,393,394,395,396,397,400,402,404,405,406,407,410,411,412,414,417,421,426,427,429,431,432,434,435,436,438,439,440,441,443,445,446,449,450,451,453,459,461,462,463,466,470,471,472,475,477,478,479,481,485,486,487,489,490,492,495,591,604,612,614,625,626,630,648,662,667,670,681,693,701,707,711,712,718,719,725,729,738,747,754,757,762,805,814,818,821,828,839,847,852,867,876,880,882,889,891,893,907,910,918,920,939,940,942,947,952,963,965,980,982,983,986,987,1003,1006,1007,1010,1014,1023,1024,1025,1027,1039,1047,1052,1053,1058,1061,1065,1069,1072,1076,1077,1081,1095,1102,1103,1114,1123,1132,1146],{"0":3,"1":27,"2":46,"3":51,"4":52,"5":57,"6":75,"7":86,"8":98,"9":100,"10":101,"11":104,"12":110,"13":111,"14":113,"15":117,"16":120,"17":122,"18":123,"19":124,"20":125,"21":126,"22":130,"23":135,"24":143,"25":144,"26":145,"27":149,"28":150,"29":155,"30":157,"31":160,"32":164,"33":168,"34":174,"35":177,"36":181,"37":184,"38":189,"39":201,"40":203,"41":204,"42":208,"43":211,"44":212,"45":213,"46":218,"47":219,"48":220,"49":221,"50":224,"51":225,"52":233,"53":234,"55":238,"56":240,"57":241,"58":243,"59":244,"60":245,"61":246,"62":247,"63":248,"64":249,"65":250,"66":253,"67":259,"68":260,"69":266,"70":269,"71":270,"72":271,"73":272,"74":273,"75":276,"76":279,"77":280,"78":285,"79":287,"80":301,"81":311,"82":350,"83":353,"84":360,"85":361,"86":369,"87":372,"88":375,"89":386,"90":391,"91":398,"92":399,"93":401,"94":403,"95":409,"96":413,"97":415,"98":416,"99":419,"100":420,"101":422,"102":423,"103":424,"104":428,"105":433,"106":437,"107":442,"108":447,"109":448,"110":452,"111":455,"112":456,"113":457,"114":460,"115":465,"116":467,"117":468,"118":474,"119":476,"120":480,"121":482,"122":483,"123":484,"124":488,"125":493,"126":494,"127":496,"128":497,"129":498,"130":499,"131":500,"132":502,"133":505,"134":514,"135":519,"136":523,"137":525,"138":527,"139":528,"140":529,"141":533,"142":538,"143":539,"144":542,"145":546,"146":552,"147":553,"148":560,"149":563,"150":564,"151":565,"152":568,"153":573,"154":579,"155":595,"156":624,"157":637,"158":639,"159":650,"160":664,"161":666,"162":688,"163":696,"164":698,"165":699,"166":706,"167":713,"168":716,"169":720,"170":722,"171":726,"172":733,"173":739,"174":741,"175":759,"176":760,"177":761,"178":779,"179":781,"180":784,"181":795,"182":799,"183":801,"184":808,"185":811,"186":819,"187":824,"188":842,"189":846,"190":849,"191":851,"192":857,"193":872,"194":875,"195":894,"196":897,"197":903,"198":908,"199":924,"200":954,"201":955,"202":971,"203":977,"204":988,"205":989,"206":992,"207":1002,"208":1005,"209":1020,"210":1035,"211":1042,"212":1062,"213":1067,"214":1068,"215":1083,"216":1084,"217":1093,"218":1094,"219":1109,"220":1118,"221":1127,"222":1137,"223":1140},[59,60,76,102,118,119,127,128,147,148,154,162,183,191,193,194,196,197,207,210,214,215,222,223,226,227,228,229,230,231,232,236,237,239,242,252,255,256,257,261,262,264,277,278,282,286,337,388,389,408,418,425,430,444,458,464,469,501,503,504,507,508,509,510,513,515,516,517,520,521,522,524,526,530,531,532,535,536,537,544,545,547,549,551,554,556,559,561,562,566,567,569,570,571,572,574,583,586,599,602,610,618,622,623,633,634,635,636,649,652,655,656,663,682,694,697,704,708,714,721,723,749,751,753,796,816,822,823,835,855,858,859,863,870,873,874,881,885,892,900,909,914,921,930,937,945,953,960,966,972,973,975,979,998,1017,1043,1046,1064,1096,1111,1112,1134,1142],[42,71,140,182,190,205,216,251,254,263,265,267,268,274,275,284,454,491,511,512,518,534,540,541,548,550,555,558,581,584,589,590,593,594,605,609,611,613,645,654,680,684,690,702,705,710,717,735,743,763,766,774,790,791,812,826,829,833,841,864,871,877,883,888,902,906,911,923,925,928,950,961,970,996,1009,1012,1031,1038,1049,1079,1087,1090,1097,1101,1106,1108,1110,1124,1138,1144,1147],[217,258,281,543,557,575,580,582,585,606,620,629,632,659,660,665,668,671,737,750,756,758,786,827,831,845,854,860,895,913,917,932,934,949,962,990,993,1013,1018,1028,1050,1059,1060,1063,1080,1085,1088,1089,1091,1141],[156,283,473,506,592,600,640,644,647,661,676,692,715,746,764,765,775,788,830,850,853,856,868,896,919,922,938,941,944,964,969,981,985,1019,1048,1070,1119,1125,1145],[577,616,641,642,643,651,657,677,678,728,770,782,787,806,825,862,943,951,994,995,1034,1045,1051,1071],[587,603,669,683,731,771,794,837,843,844,866,878,935,968,1004,1029,1044,1057,1130],[597,598,601,617,734,736,755,783,901,905,929,958,967,1008,1037,1082,1099,1126,1136,1139],[679,700,703,730,748,776,780,785,804,869,912,927,931,1104,1107,1116,1150],[619,658,672,686,709,768,797,810,813,815,926,974,999,1000,1016,1073,1086,1129,1135],[621,628,646,752,803,886,946,1011,1040,1056,1100,1115,1143],[742,773,865,916,1066,1075],[578,691,956],[879,1041,1133],[834,997,1033],[807,1022,1105],[596,777,984,1055],[884]]