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