[[0,1,2,3,4,6,7,10,12,14,16,17,18,19,20,21,22,25,26,28,30,31,33,39,40,42,45,46,49,53,55,56,288,289,290,292,293,295,296,297,299,301,302,303,305,310,311,312,313,314,317,318,319,320,321,330,331,335,338,342,343,345,576,578,579,586,600,614,634,637,642,643,658,679,695,702,707,724,742,759,769,776,779,786,789,794,796,802,810,819,821,828,837,844,851,854,857,876,890,892,917,927,929,933,936,937,939,940,948,952,956,969,985,987,988,997,1008,1009,1010,1014,1017,1033,1039,1054,1055,1069,1070,1071,1080,1086,1091,1094,1109,1123,1124,1141,1145],[8,11,13,15,23,29,34,35,36,41,48,51,52,57,59,66,67,68,70,72,77,82,83,85,86,87,88,92,98,100,101,106,109,114,115,116,117,125,126,127,298,300,304,306,307,322,323,326,329,334,337,344,346,347,349,350,351,355,356,357,358,359,364,367,368,369,371,372,373,376,378,379,381,393,394,395,401,405,411,413,591,593,595,603,605,617,624,625,631,632,640,641,646,648,651,663,668,681,685,686,689,691,703,708,710,728,729,736,739,767,770,771,772,773,774,778,780,783,787,804,806,813,826,835,841,845,855,858,869,887,889,901,905,912,930,935,942,955,960,963,966,975,980,981,986,991,993,1005,1013,1016,1021,1024,1035,1037,1045,1046,1057,1058,1059,1061,1062,1065,1084,1090,1095,1101,1112,1114,1121,1129,1146,1148,1149],{"0":5,"1":37,"2":43,"3":60,"4":61,"5":63,"6":65,"7":69,"8":73,"9":75,"10":78,"11":79,"12":80,"13":90,"14":91,"15":96,"16":97,"17":102,"18":104,"19":105,"20":110,"21":111,"22":112,"23":118,"24":131,"25":138,"27":140,"28":142,"29":149,"30":150,"31":152,"32":162,"33":165,"34":168,"35":291,"36":294,"37":309,"38":333,"39":336,"40":339,"41":353,"42":360,"43":361,"44":365,"45":366,"46":377,"47":384,"48":387,"49":390,"50":397,"51":399,"52":404,"53":406,"54":418,"55":421,"56":423,"57":426,"58":435,"59":439,"60":440,"61":441,"62":463,"63":468,"64":473,"65":476,"66":585,"67":599,"68":608,"69":609,"70":610,"71":639,"72":649,"73":664,"74":666,"75":680,"76":683,"77":684,"78":688,"79":699,"80":713,"81":714,"82":730,"83":733,"84":734,"85":746,"86":755,"87":766,"88":777,"89":784,"90":785,"91":799,"92":801,"93":831,"94":836,"95":840,"96":847,"97":848,"98":859,"99":867,"100":881,"101":886,"102":904,"103":911,"104":913,"105":918,"106":919,"107":921,"108":926,"109":932,"110":934,"111":938,"112":941,"113":943,"114":945,"115":974,"116":990,"117":999,"118":1011,"119":1029,"120":1049,"121":1089,"122":1092,"123":1093,"124":1104,"125":1110,"126":1119,"127":1120,"128":1122,"129":1139,"130":1140,"131":1150,"132":1151},{"0":9,"1":32,"2":38,"3":44,"4":47,"5":50,"6":54,"7":64,"8":81,"9":84,"10":93,"11":94,"12":103,"13":108,"14":120,"15":124,"16":132,"17":134,"18":136,"19":137,"20":141,"21":143,"22":144,"23":145,"24":151,"25":153,"26":154,"27":155,"28":157,"29":158,"30":160,"31":163,"32":169,"33":173,"34":174,"35":177,"36":178,"37":180,"38":198,"39":200,"40":204,"41":205,"42":206,"43":207,"45":210,"46":214,"47":218,"48":220,"49":224,"50":228,"51":229,"52":238,"53":308,"54":315,"55":316,"56":324,"57":325,"58":327,"59":328,"60":332,"61":340,"62":341,"63":354,"64":374,"65":375,"66":389,"67":398,"68":403,"69":407,"70":408,"71":410,"72":414,"73":416,"74":417,"75":419,"76":420,"77":424,"78":425,"79":427,"80":429,"81":430,"82":431,"83":432,"84":434,"85":443,"86":445,"87":450,"88":452,"89":453,"90":455,"91":457,"92":459,"93":460,"94":464,"95":465,"96":470,"98":495,"99":497,"100":498,"101":499,"102":507,"103":513,"104":515,"105":516,"106":517,"107":523,"108":528,"109":537,"110":539,"111":580,"112":581,"113":583,"114":589,"115":592,"116":601,"117":602,"118":606,"119":607,"120":613,"121":620,"122":650,"123":671,"124":690,"125":694,"126":700,"127":720,"128":723,"129":725,"130":751,"131":753,"132":756,"133":757,"134":761,"135":762,"136":795,"137":808,"138":815,"139":817,"140":824,"141":842,"142":863,"143":865,"144":866,"145":868,"146":870,"147":872,"148":898,"149":902,"150":954,"151":959,"152":978,"153":994,"154":995,"155":996,"156":1002,"157":1026,"158":1028,"159":1030,"160":1031,"161":1043,"162":1051,"163":1056,"164":1067,"165":1068,"166":1073,"167":1076,"168":1085,"169":1096,"170":1100,"171":1115,"172":1126,"173":1132},{"0":24,"1":27,"2":62,"3":71,"4":107,"5":113,"6":119,"7":130,"8":133,"9":147,"10":159,"11":164,"12":171,"13":175,"14":179,"15":183,"16":186,"17":187,"18":190,"19":201,"20":213,"21":216,"22":222,"23":223,"24":225,"25":226,"26":230,"27":234,"28":240,"29":242,"30":246,"31":248,"32":250,"33":252,"34":254,"35":258,"37":270,"38":272,"39":273,"40":276,"41":287,"42":348,"43":352,"44":382,"45":383,"46":385,"47":386,"48":388,"49":396,"50":412,"51":415,"52":422,"53":428,"54":442,"55":444,"56":448,"57":451,"58":454,"59":466,"60":469,"61":471,"62":472,"63":479,"64":481,"65":485,"66":487,"67":488,"68":496,"69":501,"70":502,"71":505,"72":508,"73":511,"74":512,"75":514,"76":518,"77":552,"79":560,"80":561,"81":565,"84":582,"85":594,"86":598,"87":622,"88":626,"89":627,"90":635,"91":645,"92":653,"93":660,"94":662,"95":682,"96":698,"97":704,"98":705,"99":709,"100":716,"101":732,"102":752,"103":763,"104":765,"105":790,"106":805,"107":812,"108":818,"109":820,"110":839,"111":843,"112":849,"113":862,"114":875,"115":877,"116":879,"117":884,"118":891,"119":895,"120":896,"121":899,"122":906,"123":923,"124":950,"125":957,"126":976,"127":979,"128":983,"129":1000,"130":1006,"131":1019,"132":1025,"133":1034,"134":1042,"135":1060,"136":1078,"137":1081,"138":1087,"139":1088,"140":1103,"141":1106,"142":1107,"143":1117,"144":1136,"145":1138,"146":1142,"147":1143},{"0":58,"1":74,"2":76,"3":95,"4":121,"5":123,"6":128,"7":129,"8":146,"9":156,"10":161,"11":170,"12":176,"13":181,"14":182,"15":184,"16":193,"17":195,"18":196,"19":202,"20":203,"21":221,"22":231,"23":232,"24":233,"25":235,"26":239,"27":244,"28":245,"29":247,"30":268,"32":271,"33":282,"34":284,"35":362,"36":363,"37":380,"38":391,"39":392,"40":402,"41":409,"42":437,"43":456,"44":467,"45":474,"46":475,"47":477,"48":482,"49":484,"50":489,"51":490,"52":500,"53":509,"54":530,"55":534,"56":535,"57":538,"58":540,"59":547,"60":548,"61":551,"62":555,"63":559,"64":566,"65":571,"66":612,"67":616,"68":619,"69":633,"70":647,"71":654,"72":655,"73":667,"74":669,"75":672,"76":676,"77":677,"78":693,"79":697,"80":711,"81":741,"82":745,"83":747,"84":748,"85":754,"86":760,"87":797,"88":800,"89":803,"90":811,"91":822,"92":829,"93":830,"94":834,"95":850,"96":860,"97":861,"98":873,"99":882,"100":900,"101":903,"102":908,"103":909,"104":931,"105":958,"106":992,"107":998,"108":1004,"109":1032,"110":1038,"111":1040,"112":1047,"113":1074,"114":1075,"115":1083,"116":1105,"117":1125,"118":1127,"119":1130,"120":1133,"121":1134},[89,99,122,135,166,167,172,185,188,189,191,192,209,211,217,219,227,236,237,241,243,251,253,259,260,264,266,279,286,370,400,433,436,438,446,447,449,458,461,480,486,491,494,503,519,521,522,524,526,527,532,536,541,542,545,554,556,563,564,569,570,575,584,590,628,636,706,712,717,719,722,727,749,750,758,768,792,809,832,885,894,907,914,928,967,970,971,977,984,1001,1048,1050,1082,1102,1108,1111,1118,1128,1131,1137],[148,194,215,249,256,261,263,267,275,277,278,285,462,478,483,492,504,510,520,525,529,531,533,544,546,549,557,567,572,577,597,615,623,630,644,657,678,692,701,743,764,775,788,798,814,823,825,833,852,853,864,871,893,916,924,925,946,947,964,982,1003,1012,1018,1023,1036,1041,1063,1066,1079,1099,1113],[197,199,212,255,257,262,274,281,283,506,543,550,562,568,618,621,629,718,731,744,781,791,838,897,953,961,965,972,1022,1064,1077,1135],[280,553,604,638,665,675,715,726,738,782,816,915,1053,1147],[670,687,735,740,888,922,989,1015,1044,1072],[652,827,944,962,1007,1027],[737,1144],[596,659,661,846,856,883,968,1052],[587,588,656,673,880,920,973,1020,1098],[696,793,949,1097],[674,721,951,1116],[807,878],[874],[611,910]]