[[0,1,3,4,5,6,11,13,14,15,16,17,19,20,22,25,30,32,35,37,41,44,47,48,50,52,53,54,60,62,63,64,289,290,291,293,294,295,296,297,298,300,302,303,304,305,306,307,308,309,312,314,316,320,322,326,329,331,332,337,341,342,343,344,345,348,349,353,581,582,585,586,610,622,625,626,632,646,665,666,677,680,704,705,707,730,736,738,744,748,750,759,762,763,764,769,773,794,798,801,802,818,823,828,830,832,836,847,863,870,872,878,885,902,908,910,913,920,924,936,944,957,981,997,1000,1017,1018,1020,1031,1040,1041,1043,1049,1055,1076,1077,1097,1110,1137],{"0":2,"1":7,"2":8,"3":10,"4":23,"5":26,"6":28,"7":29,"8":31,"9":33,"10":43,"11":45,"12":49,"13":55,"14":56,"15":58,"16":61,"17":65,"18":66,"19":67,"20":69,"21":72,"22":73,"23":77,"25":80,"26":81,"27":82,"28":84,"29":89,"30":93,"31":94,"32":95,"33":97,"34":100,"35":101,"36":104,"37":108,"38":109,"39":110,"40":112,"41":117,"42":120,"43":125,"44":130,"45":135,"46":137,"47":292,"48":299,"49":311,"50":315,"51":317,"52":323,"53":325,"54":327,"55":330,"56":334,"57":335,"58":336,"59":338,"60":354,"61":356,"62":357,"63":358,"64":359,"65":365,"66":366,"67":367,"68":370,"69":371,"70":372,"71":373,"72":379,"73":380,"74":383,"75":387,"76":388,"77":389,"78":392,"79":399,"80":403,"81":405,"82":407,"83":411,"84":412,"85":416,"86":420,"87":423,"88":426,"89":429,"90":587,"91":591,"92":603,"93":609,"94":616,"95":651,"96":653,"97":656,"98":659,"99":663,"100":686,"101":688,"102":691,"103":696,"104":708,"105":726,"106":758,"107":766,"108":774,"109":777,"110":789,"111":790,"112":792,"113":797,"114":825,"115":831,"116":844,"117":846,"118":855,"119":868,"120":891,"121":896,"122":897,"123":898,"124":906,"125":918,"126":937,"127":963,"128":965,"129":967,"130":969,"131":971,"132":972,"133":978,"134":983,"135":990,"136":993,"137":1011,"138":1027,"139":1037,"140":1042,"141":1046,"142":1051,"143":1064,"144":1079,"145":1099,"146":1100,"147":1106,"148":1113,"149":1115,"150":1120,"151":1127,"152":1128,"153":1132,"154":1141,"155":1142},[12,18,27,34,38,39,40,42,51,59,70,74,90,92,99,102,103,106,113,114,131,133,134,138,142,147,150,151,154,155,160,162,171,175,179,180,182,183,185,191,192,193,195,200,203,204,207,301,310,313,318,321,324,333,339,346,362,364,368,369,376,377,378,384,385,390,393,401,406,409,410,414,415,418,419,427,428,430,431,434,435,436,439,452,458,469,472,476,479,480,485,487,496,499,596,601,602,604,606,612,628,635,636,644,655,669,672,675,682,683,692,699,717,719,724,728,745,746,749,754,757,778,781,782,785,796,819,824,829,837,838,841,842,845,848,850,864,877,882,887,900,901,904,909,911,921,927,934,946,952,961,985,986,999,1007,1030,1033,1039,1057,1060,1073,1080,1089,1093,1111,1123,1133,1138,1139,1146],[9,21,36,46,57,68,71,76,83,85,87,91,107,111,116,118,123,124,126,127,128,132,136,141,159,166,169,172,174,184,186,188,190,197,202,205,206,215,216,217,219,223,227,231,237,239,241,243,267,279,319,328,340,347,352,360,374,375,381,386,391,395,400,404,408,413,421,422,424,432,442,443,445,446,447,448,450,451,460,461,465,467,470,473,477,489,503,507,510,514,516,522,528,529,531,532,539,549,550,553,560,564,567,569,570,580,589,595,598,611,614,617,619,620,623,631,633,640,647,652,657,664,676,679,681,685,698,710,716,734,737,752,756,767,772,775,787,791,795,799,800,803,811,814,821,826,833,839,859,862,879,883,889,893,912,928,945,954,955,956,964,976,991,992,994,1004,1005,1015,1025,1026,1044,1048,1050,1067,1068,1072,1075,1087,1101,1108,1109,1114,1117,1125,1129,1144],[24,75,79,86,88,98,105,115,119,121,140,144,146,148,152,158,161,173,176,178,196,199,208,209,210,211,212,213,214,221,224,229,230,232,235,238,244,245,251,256,260,261,263,266,268,271,278,287,288,350,351,355,361,363,396,417,425,437,440,441,459,463,464,466,468,471,483,486,492,493,495,498,501,513,517,518,520,521,527,536,540,542,546,554,555,558,566,573,576,577,583,599,613,637,641,643,650,660,671,700,711,722,731,735,739,747,760,768,784,786,788,793,822,834,851,856,869,875,888,938,940,941,943,947,948,979,989,1006,1008,1013,1019,1038,1061,1065,1071,1078,1082,1085,1088,1094,1098,1105,1116,1126,1136,1145,1150],[96,122,129,139,143,153,157,163,164,165,194,234,242,246,255,259,264,265,269,274,275,276,281,282,285,382,394,397,398,402,433,449,453,455,457,474,482,488,494,497,504,508,511,524,530,533,534,538,543,547,548,551,557,562,563,565,568,574,575,579,592,597,615,627,629,630,634,645,654,658,670,687,689,694,695,703,712,714,718,741,742,751,753,755,761,780,804,809,874,886,894,903,905,907,929,942,949,951,958,1003,1016,1047,1059,1086,1130,1134,1140,1143,1147,1151],[145,149,156,170,177,187,189,198,201,222,225,226,236,247,250,252,253,254,258,262,272,277,280,284,286,438,444,454,462,475,478,481,484,490,491,500,509,519,523,525,526,537,552,556,572,593,624,649,673,674,678,690,812,815,817,820,835,852,865,873,890,923,926,930,950,953,960,984,987,995,1002,1010,1023,1024,1034,1052,1053,1056,1091,1096,1102,1103,1104,1121,1124,1131,1149],[167,168,181,218,220,233,240,257,270,273,283,456,505,506,512,515,535,541,544,545,559,561,571,584,600,605,607,661,723,727,732,765,806,810,827,884,895,932,962,1009,1036,1069,1081,1090,1092,1107,1119],[248,249,502,639,662,667,701,709,740,771,783,816,843,849,858,871,876,880,892,919,925,966,1021,1045,1058,1070],[228,588,594,697,729,779,805,854,860,861,866,867,915,916,933,959,968,974,982,1012,1029,1035,1054,1063,1112,1135],[642,648,684,720,721,725,776,807,813,853,881,914,922,931,975,996,1062,1074,1083,1148],[578,608,618,668,693,702,706,713,715,770,939,973,977,980,1001,1022,1032,1122],[590,638,743,840,899,970,988,1084,1095],[621,733,1014,1118],[808,917,998,1066],[857],[935,1028]]