[[1,2,3,4,5,6,7,8,9,10,12,13,14,15,17,18,22,25,27,28,29,31,32,33,34,37,38,39,40,42,43,44,45,48,50,51,53,54,55,57,58,59,60,61,64,65,67,68,70,71,72,73,74,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,94,96,97,98,100,101,102,256,257,258,259,260,261,262,263,265,266,267,270,271,273,274,275,277,278,279,281,282,283,284,285,286,287,288,289,290,291,292,293,294,296,297,299,300,301,302,303,304,305,306,308,309,310,312,313,314,315,316,318,319,321,323,325,326,330,331,332,333,334,339,341,343,345,346,347,349,350,351,352,353,354,355,358,531,535,540,542,543,547,552,556,558,564,567,571,575,579,580,581,584,585,593,597,602,603,612,619,621,627,628,629,639,648,654,660,663,668,676,687,692,695,698,726,728,733,743,747,757,759,761,763,777,778,779,785,792,795,798,804,805,807,809,813,819,822,823,824,832,855,861,863,864,871,880,882,884,887,888,893,895,901,908,909,919,924,934,936,941,947,950,951,954,958,970,981,982,990,993,994,998,999,1000,1002,1005,1013,1019,1021],{"0":0,"1":11,"2":16,"3":20,"4":21,"5":23,"6":26,"7":30,"8":35,"9":36,"10":41,"11":46,"12":47,"13":52,"14":56,"15":62,"16":63,"17":66,"18":75,"19":93,"20":99,"21":103,"22":104,"23":105,"24":106,"25":107,"26":108,"27":110,"28":111,"29":112,"30":113,"31":114,"32":116,"33":118,"34":121,"35":122,"36":123,"37":124,"39":126,"40":127,"41":129,"42":131,"43":132,"44":134,"45":135,"46":136,"47":137,"48":141,"49":144,"50":146,"51":147,"52":150,"53":152,"54":153,"55":155,"56":156,"57":160,"58":163,"59":165,"60":169,"61":172,"62":173,"63":176,"64":182,"65":184,"66":188,"67":189,"68":190,"69":191,"70":194,"71":195,"72":196,"73":197,"74":199,"75":206,"76":207,"77":210,"78":268,"79":269,"80":272,"81":276,"82":280,"83":295,"84":307,"85":311,"86":317,"87":322,"88":324,"89":327,"90":328,"91":329,"92":335,"93":337,"94":340,"95":342,"96":344,"97":348,"98":356,"99":357,"100":359,"101":361,"102":362,"103":364,"104":365,"105":367,"106":368,"107":373,"108":375,"109":376,"110":378,"111":381,"112":383,"113":384,"114":385,"115":390,"116":392,"117":394,"118":398,"119":403,"120":404,"121":407,"122":408,"123":409,"124":410,"125":412,"126":413,"127":415,"128":416,"129":417,"130":418,"131":420,"132":421,"133":425,"134":429,"135":432,"136":434,"137":436,"138":438,"139":439,"140":442,"141":443,"142":453,"143":454,"144":455,"145":457,"146":460,"147":461,"148":464,"149":466,"150":513,"151":514,"152":517,"153":520,"154":522,"155":526,"156":527,"157":532,"158":537,"159":544,"160":545,"161":550,"162":563,"163":568,"164":572,"165":576,"166":594,"167":598,"168":606,"169":608,"170":609,"171":611,"172":613,"173":614,"174":624,"175":625,"176":626,"177":630,"178":633,"179":635,"180":640,"181":642,"182":644,"183":647,"184":651,"185":653,"186":655,"187":664,"188":667,"189":669,"190":672,"191":682,"192":683,"193":702,"194":709,"195":723,"196":729,"197":730,"198":732,"199":737,"200":739,"201":742,"202":746,"203":767,"204":769,"205":775,"206":776,"207":783,"208":794,"209":817,"210":826,"211":831,"212":836,"213":841,"214":857,"215":858,"216":860,"217":865,"218":866,"219":869,"220":875,"221":877,"222":886,"223":891,"224":898,"225":899,"226":910,"227":911,"228":912,"229":931,"230":933,"231":938,"232":939,"233":962,"234":965,"235":977,"236":978,"237":979,"238":985,"239":987,"240":989,"241":991,"242":995,"243":997,"244":1004,"245":1007,"246":1015,"247":1016,"248":1017},{"0":19,"1":24,"2":69,"3":95,"4":109,"5":115,"6":117,"7":119,"8":120,"9":133,"10":138,"11":139,"12":142,"13":143,"14":145,"15":148,"16":149,"17":151,"18":154,"19":157,"20":159,"21":161,"22":162,"23":166,"24":167,"25":168,"26":171,"27":175,"28":178,"29":179,"30":180,"31":181,"32":183,"33":185,"34":186,"35":193,"36":198,"37":200,"38":201,"39":202,"40":204,"41":209,"42":215,"43":216,"44":217,"45":218,"46":225,"47":227,"48":230,"50":234,"51":235,"52":239,"53":242,"54":247,"55":250,"56":251,"57":253,"58":255,"59":264,"60":298,"61":320,"62":336,"63":338,"64":360,"65":366,"66":370,"67":371,"68":372,"69":374,"70":377,"71":379,"72":380,"73":386,"74":388,"75":389,"76":391,"77":395,"78":400,"79":401,"80":402,"81":411,"82":414,"83":419,"84":422,"85":426,"86":427,"87":428,"88":430,"89":437,"90":440,"91":444,"92":445,"93":447,"94":448,"95":449,"96":450,"97":451,"98":452,"99":459,"100":462,"101":463,"102":465,"103":467,"104":468,"105":474,"106":475,"107":481,"108":482,"109":486,"110":487,"111":490,"112":495,"113":497,"114":498,"115":502,"116":504,"117":505,"118":506,"119":507,"120":509,"121":511,"122":512,"123":523,"124":541,"125":559,"126":560,"127":577,"128":586,"129":589,"130":591,"131":607,"132":616,"133":623,"134":641,"135":649,"136":652,"137":659,"138":662,"139":666,"140":675,"141":680,"142":681,"143":693,"144":694,"145":720,"146":727,"147":735,"148":754,"149":772,"150":780,"151":793,"152":799,"153":814,"154":815,"155":825,"156":827,"157":829,"158":834,"159":835,"160":847,"161":850,"162":853,"163":879,"164":902,"165":905,"166":906,"167":907,"168":915,"169":921,"170":932,"171":935,"172":949,"173":952,"174":959,"175":964,"176":967,"177":968,"178":973,"179":1012,"180":1020},[49,128,130,140,158,170,174,187,203,205,208,211,212,213,219,221,222,223,224,228,229,232,233,236,240,243,244,246,254,363,382,387,393,396,397,405,406,424,431,433,441,446,456,458,469,470,473,478,479,480,483,484,485,488,489,493,496,499,500,501,503,508,510,516,518,533,536,565,570,600,615,617,622,632,646,656,670,686,696,699,704,711,714,716,718,725,753,755,760,762,766,800,802,811,812,846,868,881,885,892,914,920,928,943,953,956,966,988,996,1006,1008,1011],[177,192,214,226,237,238,241,249,252,369,399,423,435,471,477,491,492,494,530,549,562,566,574,582,588,618,634,661,708,719,731,734,736,741,749,764,771,786,788,803,810,818,828,843,844,854,862,867,870,876,903,904,916,922,923,927,929,942,945,963,969,971,975,1018],[164,220,472,515,525,546,548,557,590,601,638,658,673,677,689,690,691,705,721,724,740,744,751,752,791,821,851,878,897,900,925,926,946,980],[245,248,476,521,529,534,551,604,631,674,748,774,784,789,790,816,849,852,856,859,872,890,917,955,976,984],[538,539,569,578,587,643,645,712,715,722,750,765,770,796,806,808,830,837,873,874,918,948,1001,1010,1014],[519,555,561,595,700,706,758,833,838,840,889,894,937,940,944,961,1003],[524,592,637,684,701,713,781,787,797,842,957,960,983,1022],[596,599,620,636,657,671,707,717,773,782,913,930,992],[553,554,573,605,678,679,685,710,745,801,883,972,986,1023],[610,697,703,756,768,845,848,974],[528,583,665,738,820,839,896,1009],[688],[650]]