[[0,1,2,4,5,6,7,8,11,12,14,15,16,17,18,19,20,21,22,25,26,27,28,29,31,32,34,35,36,37,38,39,43,45,46,47,50,51,52,55,56,57,58,59,60,62,256,257,258,259,261,263,264,265,267,269,270,271,272,273,274,275,276,277,278,279,280,281,282,283,285,286,287,288,292,294,296,298,302,305,306,308,312,316,318,319,320,321,515,517,522,526,527,542,546,557,560,563,568,574,582,585,587,594,595,605,606,624,627,641,642,646,648,650,653,657,676,680,700,702,705,712,714,717,718,724,731,735,746,749,757,762,763,771,780,788,795,800,801,811,814,822,823,828,832,847,852,854,855,864,865,877,882,894,897,898,908,911,927,936,940,944,960,962,971,977,979,992,993,995],[3,10,13,23,24,33,40,41,44,48,49,53,54,65,67,71,73,75,79,81,84,85,86,91,92,93,96,97,98,99,102,103,104,105,110,127,130,132,136,260,262,266,268,284,289,290,293,295,297,299,300,301,303,307,309,311,313,314,317,323,327,329,331,334,335,336,337,340,343,344,345,347,348,349,351,352,353,354,356,358,362,363,365,367,369,372,374,381,392,516,518,525,530,532,534,537,540,553,566,571,579,588,596,598,600,601,610,619,621,637,643,652,659,661,663,664,674,675,678,686,697,706,723,725,726,727,733,744,751,753,754,759,765,766,767,773,778,779,786,816,821,827,850,866,879,885,886,889,896,901,906,909,912,913,915,917,918,928,946,953,954,973,974,981,985,987,997,1002,1003,1015,1017,1021,1022],{"0":9,"1":30,"2":42,"3":61,"4":63,"5":66,"6":70,"7":76,"8":77,"9":78,"10":83,"11":88,"12":89,"13":94,"14":95,"15":100,"16":106,"17":108,"18":109,"19":112,"20":113,"21":114,"22":116,"23":117,"24":119,"25":120,"26":123,"27":124,"28":126,"29":129,"30":131,"31":135,"32":139,"33":140,"34":150,"35":152,"36":153,"37":155,"38":156,"39":158,"40":159,"41":167,"42":170,"43":171,"44":175,"45":176,"46":177,"47":181,"48":183,"49":187,"50":193,"51":195,"52":197,"53":200,"54":202,"55":210,"56":217,"57":218,"58":221,"59":222,"60":304,"61":310,"62":315,"63":322,"64":324,"65":330,"66":332,"67":333,"68":338,"69":339,"70":346,"71":350,"72":355,"73":357,"74":364,"75":370,"76":371,"77":376,"78":377,"79":379,"80":382,"81":383,"82":384,"83":385,"84":386,"85":387,"86":388,"87":389,"88":390,"89":397,"90":400,"91":401,"92":406,"93":408,"95":431,"96":432,"97":436,"98":437,"99":438,"100":439,"101":441,"102":443,"103":444,"104":446,"105":447,"106":448,"107":449,"108":453,"109":458,"110":460,"111":461,"112":463,"113":474,"114":476,"115":520,"116":523,"117":531,"118":538,"119":543,"120":545,"121":558,"122":565,"123":573,"124":576,"125":577,"126":581,"127":597,"128":607,"129":608,"130":613,"131":618,"132":628,"133":630,"134":631,"135":636,"136":640,"137":644,"138":667,"139":681,"140":698,"141":701,"142":708,"143":716,"144":719,"145":720,"146":730,"147":737,"148":741,"149":743,"150":750,"151":758,"152":776,"153":777,"154":785,"155":787,"156":789,"157":790,"158":796,"159":797,"160":799,"161":802,"162":824,"163":834,"164":839,"165":867,"166":871,"167":880,"168":881,"169":883,"170":904,"171":921,"172":926,"173":930,"174":933,"175":935,"176":941,"177":942,"178":945,"179":952,"180":963,"181":965,"182":986,"183":998,"184":999,"185":1005,"186":1011,"187":1016,"188":1023},{"0":64,"1":69,"2":72,"3":80,"4":82,"5":87,"6":90,"7":101,"8":111,"9":118,"10":121,"11":122,"12":125,"13":128,"14":133,"15":137,"16":144,"17":145,"18":151,"19":154,"20":157,"21":160,"22":163,"23":164,"24":166,"25":172,"26":174,"27":180,"28":182,"29":184,"30":186,"31":188,"32":189,"33":194,"34":196,"35":198,"36":201,"37":205,"38":207,"39":213,"40":216,"41":223,"42":225,"43":227,"44":234,"45":235,"46":236,"47":244,"48":248,"49":249,"50":251,"51":291,"52":325,"53":326,"54":328,"55":341,"56":342,"57":360,"58":361,"59":366,"60":373,"61":375,"62":378,"63":380,"64":393,"65":394,"66":395,"67":398,"68":403,"69":405,"70":407,"71":411,"72":412,"73":413,"74":415,"75":416,"76":417,"77":418,"78":420,"79":424,"80":425,"81":426,"82":428,"83":429,"84":430,"85":433,"86":434,"87":435,"88":442,"89":451,"90":452,"91":459,"92":462,"93":464,"94":466,"95":469,"96":471,"97":484,"98":487,"99":493,"100":497,"101":501,"103":504,"104":506,"105":507,"106":508,"107":512,"108":514,"109":548,"110":549,"111":551,"112":552,"113":575,"114":578,"115":580,"116":586,"117":589,"118":603,"119":633,"120":635,"121":662,"122":665,"123":666,"124":669,"125":689,"126":722,"127":728,"128":732,"129":739,"130":752,"131":756,"132":770,"133":784,"134":791,"135":793,"136":794,"137":804,"138":808,"139":825,"140":833,"141":840,"142":844,"143":856,"144":860,"145":861,"146":878,"147":893,"148":905,"149":910,"150":914,"151":919,"152":923,"153":924,"154":932,"155":938,"156":961,"157":964,"158":966,"159":967,"160":969,"161":988,"162":990,"163":1004,"164":1006,"165":1008,"166":1014},[68,74,107,115,134,138,141,142,147,149,162,169,173,178,179,185,190,191,203,206,209,211,212,219,220,232,237,238,239,243,245,246,247,250,255,359,368,391,396,399,402,404,409,410,414,422,427,440,445,454,455,456,457,467,470,472,473,475,478,479,481,482,489,490,491,492,505,510,519,524,539,562,567,591,599,615,625,626,651,688,690,709,711,738,747,748,764,774,803,805,813,819,826,831,836,842,848,849,851,863,868,870,874,887,888,895,903,907,951,955,976,1012],[143,146,148,161,165,168,199,204,208,224,226,228,229,230,233,240,252,253,419,423,450,465,468,477,480,483,485,486,488,494,495,500,509,511,528,541,554,559,584,609,611,623,634,668,671,692,696,721,736,798,807,812,817,829,838,841,845,853,891,900,902,937,943,950,956,957,958,959,972,978,1001,1007],[192,214,215,231,241,242,254,498,499,503,547,564,592,639,649,654,658,672,684,685,691,703,707,715,755,769,775,792,806,809,835,859,872,916,925,931,934,939,949,968,984,991,1010],[496,555,569,583,612,617,622,629,638,687,693,699,704,740,742,760,772,783,818,820,837,857,873,890,975,980,982,994,996,1009,1019],[513,561,602,604,614,632,655,670,673,683,694,695,710,734,761,781,846,884,947,1000],[535,536,550,572,593,660,677,682,713,729,843,899,920,1020],[521,544,556,570,590,616,620,656,679,745,810,862,876,922],[533,645,782,858,869,929,948,970,983],[768,815,875,892],[830,1013,1018],[529,647],[989]]