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