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