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