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