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