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