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