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