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