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