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