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