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