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