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