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