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