[[0,1,2,3,4,6,7,8,9,10,11,12,13,14,15,16,18,19,20,23,25,26,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,53,54,56,57,58,59,60,61,63,64,65,66,67,68,69,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,89,90,91,92,93,94,95,97,99,100,101,103,104,105,106,107,108,109,110,111,112,113,114,115,116,118,119,120,121,122,123,124,126,127,128,130,132,133,134,135,136,137,138,140,142,144,145,146,147,148,149,150,153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,170,172,175,176,177,178,179,180,181,182,183,184,185,186,187,188,189,190,192,194,195,196,197,198,199,200,201,202,203,204,205,206,207,208,209,210,211,212,213,214,215,216,217,218,270,271,272,273,274,275,276,277,278,279,280,281,283,284,285,286,287,288,289,290,291,292,293,294,295,297,299,300,301,302,303,304,305,306,308,309,310,311,312,313,314,315,316,317,318,319,320,321,322,324,325,327,329,330,331,332,333,334,335,336,337,339,340,341,342,343,344,345,346,347,348,349,350,351,352,353,354,355,356,357,358,359,360,361,362,363,364,365,366,367,368,369,370,371,372,373,374,375,376,377,378,379,380,381,382,383,384,385,386,388,389,390,391,392,393,394,395,396,397,398,399,401,402,403,405,406,407,408,409,410,411,412,413,414,415,416,417,418,419,421,422,423,424,425,426,427,429,430,432,433,434,435,436,437,439,441,442,444,446,447,448,449,450,451,452,453,454,455,456,457,458,459,461,462,463,464,465,467,468,469,470,471,472,473,474,475,476,478,480,481,482,483,484,485,486,487,488,489,544,545,551,552,557,583,586,593,603,605,609,610,613,614,618,621,627,630,631,651,653,654,659,661,662,668,689,695,697,699,701,703,704,707,710,722,724,734,745,752,758,759,766,768,773,785,787,791,803,804,808,809,815,818,819,826,843,849,853,863,869,881,882,887,892,902,903,906,909,927,941,944,948,956,976,983,985,986,988,998,1008,1015,1016,1023,1025,1033,1038,1039,1041,1050,1055,1057,1060,1071],[5,17,21,22,24,52,55,62,70,88,96,98,102,125,131,139,141,143,151,152,168,169,171,173,174,191,193,219,220,221,222,223,224,225,226,227,228,230,231,232,233,234,235,236,237,238,239,240,241,242,243,245,246,247,248,249,250,252,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,282,296,307,323,326,328,338,387,400,404,428,440,443,460,466,477,479,490,491,492,493,494,495,497,498,499,500,501,502,504,505,506,507,508,509,510,511,512,513,515,516,517,518,519,520,522,523,524,526,527,528,529,530,531,532,533,534,535,536,537,539,547,549,554,561,568,575,582,584,585,589,596,604,615,625,626,632,635,648,649,656,660,670,680,681,682,684,685,690,693,700,706,717,720,728,735,738,742,747,749,754,757,767,776,783,793,794,800,810,814,827,836,838,841,845,846,848,851,854,860,864,865,868,872,873,879,885,900,908,916,919,922,928,931,932,933,945,949,950,957,959,964,969,970,973,982,993,994,1013,1017,1024,1026,1040,1049,1061,1066,1068],[27,117,129,229,253,298,420,431,438,445,496,503,514,521,525,538,541,542,556,564,565,571,573,587,598,600,637,644,646,698,705,744,751,760,762,769,777,780,781,797,805,822,830,833,844,861,866,874,878,880,884,888,889,905,913,914,917,918,921,925,938,942,953,960,961,990,997,1000,1002,1003,1007,1014,1028,1032,1045,1053,1062,1072,1073],[244,251,254,540,553,558,563,572,577,592,599,602,617,622,633,643,645,657,671,679,709,713,718,731,740,741,743,748,756,778,786,789,792,806,811,813,820,837,839,852,857,904,915,936,943,952,958,972,979,984,995,996,1020,1034,1037,1047,1063,1069],[543,550,581,588,601,606,636,641,655,715,719,725,750,753,755,761,770,772,784,796,816,850,855,877,886,891,893,896,898,924,962,978,992,1005,1021,1031,1043,1065,1077,1078],[567,595,612,624,688,723,824,825,828,876,895,907,935,955,963,968,975,1012,1059],[555,594,619,652,666,667,694,721,739,746,817,937,954,966,977,1009,1018,1044,1051,1067],[576,591,628,640,675,676,711,737,775,788,862,890,920,929,1036,1042,1046,1054],[562,570,574,580,620,639,665,807,832,834,847,875,930,951,999,1035],[569,608,611,634,658,692,714,716,726,801,821,856,858,871,883,940,965,980,1030,1058,1079],[578,677,696,702,733,736,774,812,926,946,981],[597,629,650,664,764,831,912,991,1006],[616,623,663,672,729,910,989,1052],[548,559,560,566,642,708,779,923,947,974],[678,727,732,835,842,867,939,967,971,1004,1048],[579,647,730,859,870,934,1001,1011,1027],[669,686,765,823,897,911,1010,1022,1029,1064,1075],[607,638,683,687,712,782,798,802,1056,1070],[546,673,674,691,795,987,1076],[799,840,899,901,1074],[590,771,790,829,1019],[763,894]]