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