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