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