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