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