G:=sub; gens := [ [G| (1, 56, 92)(2, 44, 26)(4, 8, 32)(5, 22, 77)(6, 66, 48)(7, 87, 53)(9, 63, 68)(10, 52, 69)(11, 93, 72)(12, 71, 98)(13, 41, 64)(14, 40, 30)(15, 55, 82)(16, 97, 78)(17, 50, 37)(18, 49, 54)(20, 73, 27)(21, 59, 100)(23, 58, 60)(24, 76, 33)(25, 34, 31)(28, 35, 84)(29, 65, 86)(36, 85, 46)(38, 96, 81)(39, 90, 88)(42, 74, 99)(43, 47, 45)(51, 95, 80)(61, 62, 91)(67, 83, 70)(75, 79, 94), (1, 50, 20, 60, 36, 46, 97, 16, 78, 85, 58, 43)(2, 70, 35, 90, 18, 54, 40, 65, 37, 92, 56, 45)(3, 73, 17, 29, 24, 99, 67, 26, 44, 47, 23, 27)(4, 69, 89, 52, 22, 76, 86, 14, 13, 15, 82, 34)(5, 95, 51, 80, 77, 10, 32, 96, 91, 59, 42, 33)(6, 7, 68, 88, 28, 100, 62, 61, 38, 79, 75, 66)(8, 25, 93, 71, 57, 12, 9, 53, 87, 48, 94, 81)(11, 19, 72, 31, 55, 64, 41, 30, 49, 39, 63, 98)(21, 84, 83, 74) ], [G| (1, 56, 92)(2, 44, 26)(4, 8, 32)(5, 22, 77)(6, 66, 48)(7, 87, 53)(9, 63, 68)(10, 52, 69)(11, 93, 72)(12, 71, 98)(13, 41, 64)(14, 40, 30)(15, 55, 82)(16, 97, 78)(17, 50, 37)(18, 49, 54)(20, 73, 27)(21, 59, 100)(23, 58, 60)(24, 76, 33)(25, 34, 31)(28, 35, 84)(29, 65, 86)(36, 85, 46)(38, 96, 81)(39, 90, 88)(42, 74, 99)(43, 47, 45)(51, 95, 80)(61, 62, 91)(67, 83, 70)(75, 79, 94), (1, 24, 7, 37, 64, 82, 30, 40, 14, 55, 15, 41)(2, 32, 35, 6, 18, 54, 77, 36, 19, 46, 39, 80)(3, 90, 85, 22, 16, 63, 70, 21, 100, 12, 51, 88)(4, 26, 93, 27, 31, 34, 25, 73, 43, 94, 23, 29)(5, 49, 48, 66, 28, 84, 8, 86, 65, 60, 42, 97)(9, 68, 78, 99, 52, 81, 17, 53, 87, 33, 62, 67)(10, 75, 45, 91, 76, 92, 57, 56, 13, 50, 96, 38)(11, 89, 72, 44, 95, 98, 71, 59, 83, 61, 47, 20)(58, 79, 69, 74) ], [G| (1, 56, 92)(2, 44, 26)(4, 8, 32)(5, 22, 77)(6, 66, 48)(7, 87, 53)(9, 63, 68)(10, 52, 69)(11, 93, 72)(12, 71, 98)(13, 41, 64)(14, 40, 30)(15, 55, 82)(16, 97, 78)(17, 50, 37)(18, 49, 54)(20, 73, 27)(21, 59, 100)(23, 58, 60)(24, 76, 33)(25, 34, 31)(28, 35, 84)(29, 65, 86)(36, 85, 46)(38, 96, 81)(39, 90, 88)(42, 74, 99)(43, 47, 45)(51, 95, 80)(61, 62, 91)(67, 83, 70)(75, 79, 94), (1, 49, 18, 91, 72, 79, 57, 75, 83, 84, 66, 43, 31, 34)(2, 58, 85, 36, 30, 4, 7, 37, 81, 16, 5, 88, 90, 44)(3, 65, 28, 67, 55, 95, 87, 32, 8, 40, 48, 35, 29, 86)(6, 14, 46, 23, 20, 89, 27, 21, 22, 78, 56, 25, 45, 47)(9, 68, 17, 53, 51, 24, 42, 69, 64, 71, 38, 50, 63, 19)(10, 99)(11, 62, 61, 54, 92, 97, 96, 12, 98, 41, 13, 52, 74, 33)(15, 82, 70, 94, 93, 76, 80)(26, 39, 77, 100, 59, 73, 60) ], [G| (1, 56, 92)(2, 44, 26)(4, 8, 32)(5, 22, 77)(6, 66, 48)(7, 87, 53)(9, 63, 68)(10, 52, 69)(11, 93, 72)(12, 71, 98)(13, 41, 64)(14, 40, 30)(15, 55, 82)(16, 97, 78)(17, 50, 37)(18, 49, 54)(20, 73, 27)(21, 59, 100)(23, 58, 60)(24, 76, 33)(25, 34, 31)(28, 35, 84)(29, 65, 86)(36, 85, 46)(38, 96, 81)(39, 90, 88)(42, 74, 99)(43, 47, 45)(51, 95, 80)(61, 62, 91)(67, 83, 70)(75, 79, 94), (1, 92, 18, 31, 34, 47, 48, 41, 83, 21, 19, 100, 97, 62)(2, 53, 95, 71, 70, 13, 86, 3, 65, 29, 64, 66, 10, 44)(4, 42, 9, 94, 79, 77, 39)(5, 75, 68, 89, 63, 99, 85, 52, 6, 43, 45, 25, 54, 93)(7, 26, 69, 36, 46, 74, 32, 8, 88, 90, 22, 11, 96, 24)(12, 98, 51, 50, 78, 59, 67)(14, 28, 84, 15, 82, 81, 72, 49, 56, 61, 91, 16, 17, 58)(20, 76, 38, 55, 35, 30, 60, 37, 80, 87, 33, 27, 73, 57)(23, 40) ], [G| (1, 56, 92)(2, 44, 26)(4, 8, 32)(5, 22, 77)(6, 66, 48)(7, 87, 53)(9, 63, 68)(10, 52, 69)(11, 93, 72)(12, 71, 98)(13, 41, 64)(14, 40, 30)(15, 55, 82)(16, 97, 78)(17, 50, 37)(18, 49, 54)(20, 73, 27)(21, 59, 100)(23, 58, 60)(24, 76, 33)(25, 34, 31)(28, 35, 84)(29, 65, 86)(36, 85, 46)(38, 96, 81)(39, 90, 88)(42, 74, 99)(43, 47, 45)(51, 95, 80)(61, 62, 91)(67, 83, 70)(75, 79, 94), (1, 33, 21, 22, 52, 82, 83, 67, 72, 85, 34, 64)(2, 19, 26, 86, 56, 41, 16, 50, 81, 96, 38, 17, 90, 39, 31, 36, 8, 4, 32, 46, 93, 7, 28, 61)(3, 15, 10, 20, 48, 58, 40, 45, 57, 47, 95, 51, 18, 75, 9, 29, 44, 91, 35, 53, 87, 11, 70, 55)(5, 42, 6, 27, 73, 69)(12, 59, 76, 24, 92, 65, 68, 71)(13, 25, 88, 37, 78, 60, 66, 99, 74, 77, 100, 98, 63, 94, 79, 54, 89, 49, 80, 43, 14, 30, 23, 97)(62, 84) ], [G| (1, 56, 92)(2, 44, 26)(4, 8, 32)(5, 22, 77)(6, 66, 48)(7, 87, 53)(9, 63, 68)(10, 52, 69)(11, 93, 72)(12, 71, 98)(13, 41, 64)(14, 40, 30)(15, 55, 82)(16, 97, 78)(17, 50, 37)(18, 49, 54)(20, 73, 27)(21, 59, 100)(23, 58, 60)(24, 76, 33)(25, 34, 31)(28, 35, 84)(29, 65, 86)(36, 85, 46)(38, 96, 81)(39, 90, 88)(42, 74, 99)(43, 47, 45)(51, 95, 80)(61, 62, 91)(67, 83, 70)(75, 79, 94), (1, 45, 60, 31, 11, 56)(2, 70, 28, 39, 54, 55, 68, 87, 7, 66, 19, 6, 97, 74, 43, 92, 72, 79, 89, 75, 91, 69, 51, 80)(3, 9, 15, 82, 49, 100, 98, 25, 58, 23, 47, 42, 14, 24, 65, 77, 8, 40, 99, 16, 78, 48, 53, 63)(4, 73, 90, 84, 57, 35, 83, 44, 95, 52, 96, 64, 41, 13, 38, 5, 29, 86, 33, 36, 46, 85, 76, 30)(10, 62, 61, 94, 93, 34, 71, 17, 27, 32, 22, 81)(12, 59, 21, 18, 88, 20, 37, 50)(26, 67) ], [G| (1, 18, 73, 2)(3, 79, 100, 95)(4, 66, 97, 10)(5, 57, 72, 80)(6, 96, 52, 54)(7, 60, 61, 43)(8, 51, 48, 64)(9, 32, 93, 78)(11, 31)(12, 45, 92, 33)(13, 83)(14, 67, 38, 53)(15, 59)(16, 21)(17, 71, 25, 65)(19, 90, 99, 40)(20, 88, 22, 44)(23, 63, 35, 26)(24, 69)(27, 91)(29, 77, 85, 46)(30, 76, 98, 84)(34, 75)(36, 62, 39, 68)(37, 41, 94, 50)(42, 47)(49, 82, 86, 55)(56, 87, 70, 81)(58, 89), (1, 14, 39, 71, 86, 42, 4, 35, 81, 70)(2, 5, 88, 41, 11, 79, 21, 23, 38, 67)(3, 95, 100, 31, 37, 49, 99, 56, 63, 16)(6, 29, 46, 27, 96)(7, 58, 74, 89, 43, 25, 62, 77, 54, 48)(8, 22, 80, 18, 87, 90, 15, 59, 19, 9)(10, 45, 68, 53, 26)(12, 69, 84, 75, 44, 64, 52, 91, 85, 36)(13, 57, 73, 72, 83)(17, 65, 61, 60, 51, 78, 93, 32, 40, 55)(20, 34, 98, 76, 94)(24, 33, 92, 97, 28, 66, 47, 82, 50, 30) ], [G| (1, 18, 73, 2)(3, 79, 100, 95)(4, 66, 97, 10)(5, 57, 72, 80)(6, 96, 52, 54)(7, 60, 61, 43)(8, 51, 48, 64)(9, 32, 93, 78)(11, 31)(12, 45, 92, 33)(13, 83)(14, 67, 38, 53)(15, 59)(16, 21)(17, 71, 25, 65)(19, 90, 99, 40)(20, 88, 22, 44)(23, 63, 35, 26)(24, 69)(27, 91)(29, 77, 85, 46)(30, 76, 98, 84)(34, 75)(36, 62, 39, 68)(37, 41, 94, 50)(42, 47)(49, 82, 86, 55)(56, 87, 70, 81)(58, 89), (1, 70, 83, 71, 17, 65, 62, 36, 4, 42)(2, 52, 55, 5, 69, 22, 14, 26, 32, 81)(3, 51, 8, 77, 29)(6, 79, 46, 63, 94, 7, 43, 16, 92, 59)(9, 98, 90, 19, 40, 72, 66, 68, 58, 56)(10, 97, 57, 86, 100, 54, 73, 74, 18, 47)(11, 31, 75, 93, 35, 85, 64, 84, 78, 34)(12, 20, 30, 48, 95, 82, 49, 96, 15, 45)(13, 87, 89, 39, 25)(21, 61, 91, 27, 60, 41, 38, 67, 88, 33)(23, 53, 37, 28, 50)(24, 80, 99, 76, 44) ], [G| (1, 18, 73, 2)(3, 79, 100, 95)(4, 66, 97, 10)(5, 57, 72, 80)(6, 96, 52, 54)(7, 60, 61, 43)(8, 51, 48, 64)(9, 32, 93, 78)(11, 31)(12, 45, 92, 33)(13, 83)(14, 67, 38, 53)(15, 59)(16, 21)(17, 71, 25, 65)(19, 90, 99, 40)(20, 88, 22, 44)(23, 63, 35, 26)(24, 69)(27, 91)(29, 77, 85, 46)(30, 76, 98, 84)(34, 75)(36, 62, 39, 68)(37, 41, 94, 50)(42, 47)(49, 82, 86, 55)(56, 87, 70, 81)(58, 89), (1, 81, 28, 70, 5)(2, 48, 60, 67, 21, 9, 83, 66, 4, 56)(3, 93, 32, 16, 14, 30, 84, 43, 50, 20)(6, 27, 15, 59, 91, 54, 88, 94, 64, 73)(7, 98, 71, 86, 82, 75, 63, 74, 23, 38)(8, 41, 37, 61, 51)(10, 42, 47, 97, 13, 78, 95, 72, 57, 87)(11, 40, 69, 12, 85)(17, 62, 36, 68, 22, 52, 19, 31, 77, 55)(18, 80, 100, 89, 25, 76, 53, 26, 90, 96)(24, 99, 35, 34, 49, 29, 46, 33, 92, 45)(39, 65, 58, 79, 44) ], [G| (1, 18, 73, 2)(3, 79, 100, 95)(4, 66, 97, 10)(5, 57, 72, 80)(6, 96, 52, 54)(7, 60, 61, 43)(8, 51, 48, 64)(9, 32, 93, 78)(11, 31)(12, 45, 92, 33)(13, 83)(14, 67, 38, 53)(15, 59)(16, 21)(17, 71, 25, 65)(19, 90, 99, 40)(20, 88, 22, 44)(23, 63, 35, 26)(24, 69)(27, 91)(29, 77, 85, 46)(30, 76, 98, 84)(34, 75)(36, 62, 39, 68)(37, 41, 94, 50)(42, 47)(49, 82, 86, 55)(56, 87, 70, 81)(58, 89), (1, 2, 59, 94, 61, 77, 27, 64, 74, 48)(3, 47, 72, 4, 99, 34, 50, 15, 73, 84)(5, 80, 42, 95, 100)(6, 86, 82, 17, 8, 91, 29, 78, 76, 63)(7, 19, 12, 96, 23, 26, 25, 83, 87, 21)(9, 46, 44, 14, 53, 38, 97, 68, 39, 32)(10, 67, 22, 24, 69, 88, 55, 54, 45, 40)(11, 36, 66, 57, 79, 98, 93, 62, 31, 28)(13, 71, 49, 20, 85, 60, 16, 56, 81, 70)(18, 51, 65, 35, 30)(33, 89, 58, 92, 52)(37, 75, 90, 43, 41) ], [G| (1, 18, 73, 2)(3, 79, 100, 95)(4, 66, 97, 10)(5, 57, 72, 80)(6, 96, 52, 54)(7, 60, 61, 43)(8, 51, 48, 64)(9, 32, 93, 78)(11, 31)(12, 45, 92, 33)(13, 83)(14, 67, 38, 53)(15, 59)(16, 21)(17, 71, 25, 65)(19, 90, 99, 40)(20, 88, 22, 44)(23, 63, 35, 26)(24, 69)(27, 91)(29, 77, 85, 46)(30, 76, 98, 84)(34, 75)(36, 62, 39, 68)(37, 41, 94, 50)(42, 47)(49, 82, 86, 55)(56, 87, 70, 81)(58, 89), (1, 45, 29, 28, 46, 84, 61, 55, 59, 90, 64, 22)(2, 9, 37, 57, 14, 11, 20, 23, 58, 38, 82, 92)(3, 47, 32, 73, 77, 12, 63, 44, 48, 91, 7, 25)(4, 16, 35, 33, 49, 60, 27, 51, 94, 83, 39, 100)(5, 54, 97, 87, 24, 17, 34, 76, 99, 15, 86, 67)(6, 80, 81, 68, 13, 41, 78, 74, 93, 42, 95, 62)(8, 19, 96, 36, 70, 66, 79, 71, 69, 56, 72, 50)(10, 52, 40, 30, 85, 18, 88, 31, 53, 89, 26, 21)(43, 98, 75, 65) ], [G| (1, 18, 73, 2)(3, 79, 100, 95)(4, 66, 97, 10)(5, 57, 72, 80)(6, 96, 52, 54)(7, 60, 61, 43)(8, 51, 48, 64)(9, 32, 93, 78)(11, 31)(12, 45, 92, 33)(13, 83)(14, 67, 38, 53)(15, 59)(16, 21)(17, 71, 25, 65)(19, 90, 99, 40)(20, 88, 22, 44)(23, 63, 35, 26)(24, 69)(27, 91)(29, 77, 85, 46)(30, 76, 98, 84)(34, 75)(36, 62, 39, 68)(37, 41, 94, 50)(42, 47)(49, 82, 86, 55)(56, 87, 70, 81)(58, 89), (1, 24, 54, 89, 30, 23, 68, 82, 70, 32, 61, 15)(2, 76, 58, 52, 53, 48, 33, 35, 71, 4, 6, 69)(3, 5, 42, 55)(7, 41, 90, 93, 87, 85, 64, 38, 50, 83, 72, 20)(8, 77, 34, 100, 66, 17, 18, 59, 60, 44, 40, 21)(9, 14, 96, 10, 11, 81, 49, 47, 80, 13, 94, 43)(12, 51, 16, 99, 37, 67, 78, 19, 22, 91, 45, 74)(25, 63, 84, 46, 56, 31, 97, 79, 86, 39, 28, 62)(26, 92, 27, 88, 57, 95, 75, 29, 98, 73, 65, 36) ], [G| (1, 18, 73, 2)(3, 79, 100, 95)(4, 66, 97, 10)(5, 57, 72, 80)(6, 96, 52, 54)(7, 60, 61, 43)(8, 51, 48, 64)(9, 32, 93, 78)(11, 31)(12, 45, 92, 33)(13, 83)(14, 67, 38, 53)(15, 59)(16, 21)(17, 71, 25, 65)(19, 90, 99, 40)(20, 88, 22, 44)(23, 63, 35, 26)(24, 69)(27, 91)(29, 77, 85, 46)(30, 76, 98, 84)(34, 75)(36, 62, 39, 68)(37, 41, 94, 50)(42, 47)(49, 82, 86, 55)(56, 87, 70, 81)(58, 89), (1, 100, 87, 13, 95, 2, 14)(3, 83, 56, 42, 68, 66, 58, 31, 23, 5, 20, 71, 34, 43)(4, 77, 69, 45, 78, 37, 74, 50, 91, 51, 55, 63, 11, 89)(6, 46, 90, 16, 9, 12, 41, 93, 67, 73, 57, 26, 62, 82)(7, 75, 17, 52, 48, 27, 94, 33, 98, 22, 72, 18, 53, 30)(8, 97, 39, 35, 86, 36, 47, 81, 99, 85, 10, 64, 96, 49)(15, 28, 59, 40, 70, 79, 61, 25, 44, 76, 38, 32, 21, 19)(24, 29, 54, 65, 60, 84, 92)(80, 88) ], [G| (1, 18, 73, 2)(3, 79, 100, 95)(4, 66, 97, 10)(5, 57, 72, 80)(6, 96, 52, 54)(7, 60, 61, 43)(8, 51, 48, 64)(9, 32, 93, 78)(11, 31)(12, 45, 92, 33)(13, 83)(14, 67, 38, 53)(15, 59)(16, 21)(17, 71, 25, 65)(19, 90, 99, 40)(20, 88, 22, 44)(23, 63, 35, 26)(24, 69)(27, 91)(29, 77, 85, 46)(30, 76, 98, 84)(34, 75)(36, 62, 39, 68)(37, 41, 94, 50)(42, 47)(49, 82, 86, 55)(56, 87, 70, 81)(58, 89), (1, 58, 24, 60, 40, 27, 37, 16, 22, 79, 42, 80, 98, 67)(2, 10, 85, 34, 8, 74, 64, 45, 65, 13, 62, 61, 69, 89)(3, 86, 6, 63, 53, 30, 49, 71, 51, 75, 77, 93, 5, 47)(4, 73, 19, 7, 46, 97, 78, 29, 43, 36, 56, 41, 91, 99)(9, 66, 90, 18, 14, 23, 52, 92, 48, 17, 12, 15, 87, 68)(11, 28, 31, 70, 59, 33, 96, 82, 84, 72, 100, 88, 94, 81)(20, 35, 54, 26, 44, 21, 50)(25, 55, 95, 57, 32, 39, 83)(38, 76) ], [G| (1, 77, 33, 30)(2, 43, 12, 56)(3, 95, 8, 51)(4, 9, 39, 32)(5, 22, 80, 37)(6, 10, 96, 68)(7, 38, 81, 23)(11, 91, 31, 75)(13, 34, 83, 27)(14, 87, 35, 61)(15, 59, 16, 21)(17, 50, 65, 44)(18, 60, 92, 70)(19, 40, 82, 86)(20, 57, 94, 72)(24, 89, 58, 69)(25, 41, 71, 88)(26, 29, 53, 76)(28, 42, 74, 47)(36, 78, 97, 93)(45, 98, 73, 46)(48, 64, 100, 79)(49, 99, 90, 55)(52, 66, 54, 62)(63, 85, 67, 84), (1, 71, 59, 51, 50, 10)(2, 46, 34, 48, 97, 43)(3, 15, 21, 36, 35, 37)(4, 86, 84, 67, 85, 44)(5, 87, 74, 52, 64, 13)(6, 11, 55, 90, 89, 77)(7, 100, 62, 57, 91, 68)(8, 26, 47, 14, 9, 65)(12, 78, 16, 41, 25, 98)(17, 63, 82, 81, 38, 96)(18, 31, 20, 72, 94, 54)(19, 32)(22, 27, 69, 29, 95, 80)(23, 40, 39, 61, 93, 79)(24, 83, 73, 88, 30, 33)(28, 76, 92, 60, 66, 42)(45, 56)(49, 75, 70, 53, 58, 99) ], [G| (1, 77, 33, 30)(2, 43, 12, 56)(3, 95, 8, 51)(4, 9, 39, 32)(5, 22, 80, 37)(6, 10, 96, 68)(7, 38, 81, 23)(11, 91, 31, 75)(13, 34, 83, 27)(14, 87, 35, 61)(15, 59, 16, 21)(17, 50, 65, 44)(18, 60, 92, 70)(19, 40, 82, 86)(20, 57, 94, 72)(24, 89, 58, 69)(25, 41, 71, 88)(26, 29, 53, 76)(28, 42, 74, 47)(36, 78, 97, 93)(45, 98, 73, 46)(48, 64, 100, 79)(49, 99, 90, 55)(52, 66, 54, 62)(63, 85, 67, 84), (1, 30, 4, 45, 13, 15)(2, 76, 28, 47, 22, 43)(3, 51, 16, 26, 56, 75)(5, 68, 96, 10, 11, 12)(6, 37, 86, 61, 94, 91)(7, 41, 48, 14, 82, 65)(8, 95, 31, 57, 77, 21)(9, 33, 20, 36, 99, 69)(17, 18, 98, 32, 39, 58)(19, 80, 74, 81, 54, 83)(23, 42, 53, 90, 93, 71)(24, 49, 62, 38, 50, 89)(25, 64)(27, 66, 52, 55, 29, 59)(34, 46, 92, 60, 44, 40)(35, 87, 79, 67, 78, 72)(63, 84, 100, 88, 97, 85)(70, 73) ], [G| (1, 77, 33, 30)(2, 43, 12, 56)(3, 95, 8, 51)(4, 9, 39, 32)(5, 22, 80, 37)(6, 10, 96, 68)(7, 38, 81, 23)(11, 91, 31, 75)(13, 34, 83, 27)(14, 87, 35, 61)(15, 59, 16, 21)(17, 50, 65, 44)(18, 60, 92, 70)(19, 40, 82, 86)(20, 57, 94, 72)(24, 89, 58, 69)(25, 41, 71, 88)(26, 29, 53, 76)(28, 42, 74, 47)(36, 78, 97, 93)(45, 98, 73, 46)(48, 64, 100, 79)(49, 99, 90, 55)(52, 66, 54, 62)(63, 85, 67, 84), (1, 63, 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