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