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