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