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