[[0,1,2,3,4,5,6,7,8,9,10,11,13,14,15,17,19,20,21,22,23,24,25,26,30,31,33,34,35,37,38,39,42,47,48,288,289,290,292,294,295,296,297,300,301,303,305,306,307,308,309,310,311,313,314,316,317,318,319,323,327,328,330,331,332,333,334,335,336,337,576,577,602,628,644,649,683,684,689,706,712,729,731,744,750,763,779,798,801,805,815,835,839,850,852,866,879,885,888,905,912,932,938,944,967,972,1000,1006,1021,1028,1042,1043,1060,1070,1075,1076,1080,1083,1100,1103,1111,1116,1138,1145],[12,16,27,29,36,40,41,44,45,49,50,51,54,55,56,58,61,63,69,70,73,74,76,77,78,81,83,85,88,89,90,93,95,96,291,299,302,304,312,315,320,324,325,326,329,339,340,344,345,347,349,351,353,357,358,359,360,362,363,364,366,368,369,373,377,380,381,382,384,389,578,581,584,590,605,608,614,615,618,660,665,686,688,708,725,734,752,771,778,782,790,809,817,818,819,824,825,829,836,841,842,843,868,870,901,904,913,920,933,940,970,987,990,993,1004,1005,1007,1009,1018,1027,1044,1053,1055,1061,1096,1097,1105,1115,1139,1151],{"0":18,"1":32,"2":46,"3":52,"4":53,"5":57,"6":60,"7":64,"8":65,"9":66,"10":67,"11":68,"12":75,"13":79,"14":80,"15":82,"16":86,"17":87,"18":91,"19":92,"20":94,"21":99,"22":100,"23":104,"24":107,"25":108,"26":109,"27":111,"28":114,"29":115,"30":123,"31":125,"32":128,"33":132,"34":133,"35":137,"36":139,"37":141,"38":144,"39":146,"40":151,"41":155,"42":293,"43":298,"44":321,"45":341,"46":342,"47":343,"48":346,"49":348,"50":352,"51":354,"52":356,"53":361,"54":365,"55":367,"56":370,"57":372,"58":383,"59":386,"60":387,"61":388,"62":390,"63":392,"64":395,"66":399,"67":400,"68":404,"69":406,"70":408,"71":410,"72":412,"73":413,"74":414,"75":416,"76":418,"77":420,"78":424,"79":428,"80":434,"81":439,"82":440,"83":442,"84":582,"85":601,"86":613,"87":616,"88":621,"89":622,"90":626,"91":630,"92":631,"93":645,"94":647,"95":648,"96":656,"97":664,"98":668,"99":673,"100":691,"101":692,"102":694,"103":697,"104":699,"105":709,"106":716,"107":717,"108":719,"109":721,"110":736,"111":739,"112":759,"113":776,"114":785,"115":791,"116":828,"117":846,"118":848,"119":849,"120":865,"121":871,"122":876,"123":877,"124":878,"125":906,"126":921,"127":923,"128":953,"129":963,"130":964,"131":973,"132":974,"133":976,"134":977,"135":995,"136":999,"137":1014,"138":1017,"139":1020,"140":1033,"141":1036,"142":1054,"143":1072,"144":1081,"145":1082,"146":1084,"147":1104,"148":1107,"149":1108,"150":1114,"151":1150},{"0":28,"1":43,"2":59,"3":62,"4":71,"5":72,"6":84,"7":97,"8":98,"9":101,"10":105,"11":106,"12":110,"13":112,"14":121,"15":126,"16":130,"17":136,"18":143,"19":147,"20":148,"21":149,"22":152,"23":157,"24":160,"25":162,"27":169,"28":173,"29":175,"30":177,"31":182,"32":186,"33":187,"34":194,"35":202,"36":208,"37":211,"38":374,"39":375,"40":376,"41":378,"42":385,"43":391,"44":393,"45":394,"46":396,"47":401,"48":402,"49":405,"50":415,"51":417,"52":419,"53":422,"54":426,"55":430,"56":436,"57":441,"58":444,"59":445,"60":447,"61":449,"62":456,"63":457,"64":465,"65":467,"66":470,"67":473,"68":474,"69":475,"70":482,"71":488,"73":493,"74":499,"75":503,"76":588,"77":593,"78":597,"79":607,"80":651,"81":655,"82":658,"83":659,"84":667,"85":678,"86":687,"87":698,"88":701,"89":718,"90":728,"91":757,"92":769,"93":770,"94":772,"95":794,"96":797,"97":807,"98":822,"99":826,"100":831,"101":837,"102":838,"103":844,"104":855,"105":861,"106":882,"107":884,"108":887,"109":891,"110":903,"111":908,"112":910,"113":916,"114":927,"115":929,"116":931,"117":941,"118":948,"119":952,"120":955,"121":958,"122":959,"123":962,"124":965,"125":984,"126":986,"127":988,"128":989,"129":996,"130":1001,"131":1002,"132":1010,"133":1016,"134":1025,"135":1045,"136":1046,"137":1057,"138":1063,"139":1065,"140":1066,"141":1085,"142":1090,"143":1092,"144":1109,"145":1130},{"0":102,"1":103,"2":116,"3":118,"4":119,"5":122,"6":124,"7":129,"8":131,"9":134,"10":138,"11":145,"12":156,"13":158,"14":163,"15":164,"16":165,"17":168,"18":170,"19":172,"20":176,"21":180,"22":181,"23":183,"24":185,"25":188,"26":189,"27":191,"28":193,"29":198,"30":200,"31":203,"32":206,"33":207,"34":212,"35":213,"36":219,"37":228,"38":229,"40":246,"41":263,"42":265,"43":267,"44":322,"45":338,"46":350,"47":355,"48":371,"49":398,"50":403,"51":411,"52":421,"53":425,"54":431,"55":432,"56":437,"57":438,"58":448,"59":454,"60":455,"61":458,"62":459,"63":460,"64":463,"65":468,"66":471,"67":472,"68":476,"69":484,"70":485,"71":490,"72":494,"73":495,"74":506,"75":510,"76":511,"77":513,"78":520,"79":529,"80":530,"81":535,"82":543,"83":552,"84":558,"85":586,"86":598,"87":624,"88":639,"89":640,"90":642,"91":646,"92":661,"93":677,"94":700,"95":704,"96":726,"97":735,"98":737,"99":741,"100":743,"101":748,"102":800,"103":814,"104":832,"105":853,"106":857,"107":859,"108":894,"109":899,"110":911,"111":922,"112":925,"113":930,"114":937,"115":939,"116":957,"117":960,"118":961,"119":1030,"120":1031,"121":1039,"122":1040,"123":1073,"124":1110,"125":1113,"126":1127,"127":1129,"128":1142},{"0":117,"1":120,"2":127,"3":140,"4":142,"5":150,"6":159,"7":166,"8":174,"9":190,"10":195,"11":201,"12":214,"13":217,"14":220,"15":227,"16":231,"17":233,"18":240,"19":243,"20":245,"21":247,"22":250,"23":251,"24":255,"25":257,"26":272,"28":379,"29":407,"30":427,"31":429,"32":435,"33":443,"34":450,"35":451,"36":462,"37":464,"38":466,"39":469,"40":480,"41":481,"42":483,"43":487,"44":489,"45":496,"46":497,"47":500,"48":501,"49":502,"50":508,"51":512,"52":514,"53":515,"54":516,"55":521,"56":523,"57":527,"58":531,"59":532,"60":546,"61":554,"62":555,"63":556,"64":560,"65":564,"66":566,"67":570,"68":574,"69":575,"70":589,"71":592,"72":610,"73":617,"74":633,"75":638,"76":652,"77":662,"78":680,"79":685,"80":742,"81":746,"82":760,"83":765,"84":787,"85":788,"86":804,"87":808,"88":812,"89":813,"90":827,"91":840,"92":869,"93":883,"94":895,"95":898,"96":902,"97":909,"98":919,"99":924,"100":947,"101":980,"102":985,"103":1023,"104":1037,"105":1071,"106":1086,"107":1091,"108":1093,"109":1102,"110":1106,"111":1120,"112":1136,"113":1141,"114":1147},[113,135,153,154,171,178,179,184,192,199,205,209,210,222,230,237,238,239,241,242,248,249,253,254,256,258,260,262,264,268,273,281,283,285,286,287,409,423,433,446,452,453,477,479,486,492,509,517,519,534,538,539,550,557,565,568,569,583,585,600,611,625,666,682,707,711,724,732,754,755,766,767,786,789,802,810,854,890,918,928,942,968,978,982,1011,1012,1024,1035,1047,1062,1068,1118,1128,1134,1149],[161,196,197,204,215,221,223,225,226,235,259,261,266,270,271,274,275,277,284,461,498,504,505,507,525,533,541,542,544,547,548,549,553,559,561,562,563,571,573,599,603,619,632,637,672,690,720,749,775,777,795,796,803,821,856,863,864,874,896,971,975,979,992,1038,1069,1079,1112,1124],[216,218,224,234,236,244,269,276,278,279,518,522,524,526,528,536,551,572,594,612,620,635,643,653,702,713,714,733,740,747,756,761,762,764,792,847,934,936,943,946,966,969,991,994,1003,1015,1022,1032,1059,1074,1087,1089,1098,1117,1135,1143,1148],[280,478,537,540,545,567,579,609,654,663,669,671,674,675,696,703,738,745,768,793,799,811,830,834,872,873,880,886,893,907,917,935,949,951,983,998,1019,1029,1034,1041,1064,1078,1119,1125],[252,591,606,623,634,636,650,670,679,695,723,730,774,780,781,783,784,889,915,1026,1048,1051,1052,1094,1101,1137,1146],[604,627,657,681,705,727,806,823,845,860,881,914,945,954,956,1008,1058,1067,1099,1123,1131,1140],[580,587,596,629,641,710,773,820,862,897,900,950,1050,1056,1133],[595,676,693,722,816,833,875,926,997,1077],[715,758,851,867,892,1095,1132,1144],[751,1013,1088,1122,1126],[753,981,1049,1121],[858]]