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