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