[[0,2,3,4,5,6,8,9,10,12,13,15,16,19,20,21,25,26,27,28,29,30,31,32,35,37,38,39,42,43,47,49,50,51,52,53,54,55,57,256,257,258,261,262,263,264,265,266,267,268,269,274,275,276,277,278,280,281,282,283,284,285,286,287,288,291,292,293,294,295,297,299,300,301,304,305,306,307,308,309,310,311,312,522,570,585,600,605,610,612,623,635,658,669,676,681,690,692,698,700,713,731,734,746,747,763,790,809,836,851,853,863,865,873,894,895,898,899,902,904,924,940,941,943,945,955,964,973,975,976,985,987,1000,1019,1020],[1,7,11,14,17,18,22,24,34,36,40,45,46,48,56,61,63,66,67,68,69,70,72,76,81,88,89,90,93,97,98,105,108,109,115,119,259,260,270,271,272,273,279,289,290,302,303,313,315,316,318,321,322,324,326,327,328,331,333,335,336,340,342,344,345,347,349,351,353,356,358,363,366,367,369,371,373,514,530,535,542,549,602,607,613,620,652,656,659,663,670,683,689,712,715,717,726,727,760,762,766,772,779,784,807,822,848,854,868,878,881,882,896,914,926,935,946,963,979,981,990,997,1002,1010,1015,1021,1023],[23,33,41,44,58,64,65,73,75,78,79,80,82,83,84,86,87,92,96,100,103,104,106,107,110,111,113,123,125,128,131,133,134,135,136,138,139,142,149,158,162,167,172,178,179,183,296,314,317,320,323,330,334,337,338,339,346,348,355,357,359,360,362,364,365,377,378,380,383,384,387,388,395,399,401,402,403,406,408,409,410,413,414,415,418,420,425,427,437,438,516,517,529,532,545,546,555,563,564,566,587,593,604,611,641,644,653,654,661,665,686,701,702,720,750,765,774,775,777,778,786,795,799,810,811,815,818,825,828,832,862,877,879,949,952,972,977,984,991,1016],{"0":59,"1":62,"2":74,"3":85,"4":91,"5":94,"6":95,"7":101,"8":112,"9":114,"10":116,"11":118,"12":124,"13":127,"14":129,"15":132,"16":137,"17":141,"18":144,"19":146,"20":153,"21":154,"22":157,"23":165,"24":168,"25":169,"26":176,"27":180,"28":185,"29":193,"30":196,"31":197,"32":199,"33":200,"34":202,"35":203,"36":204,"37":205,"39":213,"40":215,"41":216,"42":219,"43":224,"44":227,"45":229,"46":232,"47":240,"48":241,"49":244,"50":252,"51":253,"52":298,"53":325,"54":332,"55":341,"56":361,"57":368,"58":370,"59":372,"60":375,"61":376,"62":381,"63":385,"64":386,"65":389,"66":391,"67":394,"68":396,"69":398,"70":400,"71":404,"72":411,"73":416,"74":419,"75":424,"76":428,"77":429,"78":439,"79":441,"80":446,"81":448,"82":450,"83":457,"84":460,"85":461,"86":465,"87":471,"88":481,"89":482,"90":483,"91":485,"92":486,"93":491,"94":496,"95":500,"96":502,"97":507,"98":508,"99":511,"100":512,"101":518,"102":524,"103":533,"104":536,"105":538,"106":541,"107":550,"108":556,"109":559,"110":568,"111":573,"112":577,"113":583,"114":584,"115":596,"116":603,"117":621,"118":622,"119":624,"120":627,"121":628,"122":631,"123":638,"124":650,"125":682,"126":688,"127":694,"128":704,"129":733,"130":740,"131":742,"132":753,"133":754,"134":757,"135":759,"136":764,"137":794,"138":833,"139":834,"140":838,"141":840,"142":847,"143":850,"144":858,"145":861,"146":875,"147":887,"148":889,"149":900,"150":906,"151":910,"152":953,"153":967,"154":969,"155":978,"156":983,"157":992,"158":996,"159":1007},[60,71,77,99,102,117,121,122,130,140,145,147,150,152,156,159,160,170,175,177,181,182,184,188,192,206,207,208,210,212,214,228,230,235,238,239,242,247,248,249,319,329,343,352,354,374,379,382,390,392,393,397,405,417,422,426,430,436,442,443,445,447,449,451,453,454,456,458,459,463,467,468,472,473,474,475,476,477,480,484,487,489,492,506,520,527,534,551,557,560,561,562,565,578,579,581,586,591,598,615,664,667,668,673,684,685,695,696,709,711,724,743,744,756,758,767,770,776,800,816,817,824,826,830,846,849,857,876,890,891,893,913,928,956,958,959,960,971,986,988,989,998,999,1006],[120,143,148,155,163,164,166,173,174,186,189,201,218,221,223,231,233,234,237,250,254,407,412,421,423,431,432,433,434,435,440,444,469,479,493,494,495,498,499,501,504,505,509,539,540,547,554,572,575,590,594,609,616,626,634,642,660,662,687,693,703,706,721,749,755,783,793,802,806,819,823,842,844,845,860,867,871,886,888,932,938,962,966,968,994,1011,1014],[126,161,171,187,190,191,195,198,211,217,220,222,225,226,236,243,246,255,350,452,462,466,470,478,497,503,510,526,544,595,617,639,640,649,674,677,730,735,773,789,796,797,821,829,859,874,897,921,922,957,1001,1008,1022],[194,245,251,455,521,558,567,589,599,601,643,671,672,680,719,769,785,798,801,869,883,901,923,937,965,980,1017],[151,543,548,574,576,618,655,678,691,697,714,723,741,751,780,812,831,870,903,911,948,1005],[464,488,490,515,523,528,592,632,647,657,732,768,771,782,804,866,919,925,942,950,974,1013],[619,629,636,646,675,710,737,781,792,805,813,841,852,909,915,930,947],[525,537,571,614,679,699,716,728,745,752,814,837,839,855,951,982],[553,569,580,633,651,748,808,856,907,920,961,970],[513,531,608,666,736,864,884,892,905,917,954,993],[552,588,625,645,761,788,803,843,912,918,931,933,995],[606,637,705,729,827,885,916,936,1012],[707,708,725,791,835,880,1009,1018],[630,648,787,820,927,1003,1004],[597,722,908],[582,718,872,939,944],[519,929],[738,934],[739]]