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