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GAP 4.8.9 installation with standard packages -- copy to your CoCalc project to get it
Project: cocalc-sagemath-dev-slelievre
Views: 418346#############################################################################
##
#W sml1920.bb GAP library of groups Hans Ulrich Besche
## Bettina Eick, Eamonn O'Brien
##
SMALL_GROUP_LIB[ 1920 ].n2nil[ 2 ] :=
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(22,34,23,35)(24,36,25,37)(26,30,27,31)(28,32,29,33) ],
[ ( 2, 4, 3, 5)( 6,35,13,33, 7,34,12,32)( 8,37,11,31, 9,36,10,30)
(14,29,21,23,15,28,20,22)(16,27,19,25,17,26,18,24),
( 1, 5, 4)( 2, 3)( 6,24,10,28, 7,25,11,29)( 8,22,12,26, 9,23,13,27)
(14,32,18,36,15,33,19,37)(16,30,20,34,17,31,21,35) ],
[ ( 1, 2)( 6,25,10,29, 7,24,11,28)( 8,23,12,27, 9,22,13,26)(14,33,18,37,15,
32,19,36)(16,31,20,35,17,30,21,34),
( 1, 2, 3, 4, 5)( 6,37,13,31, 7,36,12,30)( 8,35,11,33, 9,34,10,32)
(14,27,21,25,15,26,20,24)(16,29,19,23,17,28,18,22) ],
[ ( 1, 5, 2)( 6,31,12,37, 7,30,13,36)( 8,33,10,35, 9,32,11,34)
(14,25,20,27,15,24,21,26)(16,23,18,29,17,22,19,28),
( 1, 4)( 2, 3)( 6,17, 8,15)( 7,16, 9,14)(10,21,12,19)(11,20,13,18)
(22,33,24,31)(23,32,25,30)(26,37,28,35)(27,36,29,34) ],
[ ( 1, 2, 4, 3)( 6,33,13,34, 7,32,12,35)( 8,31,11,36, 9,30,10,37)
(14,22,21,29,15,23,20,28)(16,24,19,27,17,25,18,26),
( 3, 5, 4)( 6,19, 9,20)( 7,18, 8,21)(10,14,13,17)(11,15,12,16)
(22,35,25,36)(23,34,24,37)(26,30,29,33)(27,31,28,32) ],
[ ( 1, 2, 4)( 6,35,12,32, 7,34,13,33)( 8,37,10,30, 9,36,11,31)
(14,28,20,23,15,29,21,22)(16,26,18,25,17,27,19,24),
( 1, 5, 4)( 2, 3)( 6,14, 8,16)( 7,15, 9,17)(10,18,12,20)(11,19,13,21)
(22,30,24,32)(23,31,25,33)(26,34,28,36)(27,35,29,37) ],
[ ( 1, 4, 5, 2, 3)( 6,14, 8,16)( 7,15, 9,17)(10,18,12,20)(11,19,13,21)
(22,30,24,32)(23,31,25,33)(26,34,28,36)(27,35,29,37),
( 1, 3, 5, 4, 2)( 6,29,11,25, 7,28,10,24)( 8,27,13,23, 9,26,12,22)
(14,36,19,32,15,37,18,33)(16,34,21,30,17,35,20,31) ],
[ ( 1, 3)( 2, 4, 5)( 6,27, 8,29, 7,26, 9,28)(10,23,12,25,11,22,13,24)
(14,31,16,33,15,30,17,32)(18,35,20,37,19,34,21,36),
( 1, 2, 5, 4, 3)( 6,17, 7,16)( 8,14, 9,15)(10,21,11,20)(12,18,13,19)
(22,33,23,32)(24,30,25,31)(26,37,27,36)(28,34,29,35) ],
[ ( 1, 5)( 2, 3, 4)( 6,27, 8,29, 7,26, 9,28)(10,23,12,25,11,22,13,24)
(14,31,16,33,15,30,17,32)(18,35,20,37,19,34,21,36),
( 1, 4)( 2, 3, 5)( 6,18)( 7,19)( 8,20)( 9,21)(10,14)(11,15)(12,16)(13,17)
(22,34)(23,35)(24,36)(25,37)(26,30)(27,31)(28,32)(29,33) ],
[ ( 1, 4, 3, 2, 5)( 6,22, 8,24, 7,23, 9,25)(10,26,12,28,11,27,13,29)
(14,34,16,36,15,35,17,37)(18,30,20,32,19,31,21,33),
( 1, 4, 3)( 6,31,12,37, 7,30,13,36)( 8,33,11,34, 9,32,10,35)
(14,27,20,25,15,26,21,24)(16,29,19,22,17,28,18,23) ],
[ ( 1, 2, 4, 5, 3)( 6,17, 7,16)( 8,14, 9,15)(10,21,11,20)(12,18,13,19)
(22,33,23,32)(24,30,25,31)(26,37,27,36)(28,34,29,35),
( 2, 5)( 6,33,13,34)( 7,32,12,35)( 8,30,11,37)( 9,31,10,36)(14,29,21,22)
(15,28,20,23)(16,26,19,25)(17,27,18,24) ],
[ ( 1, 4)( 2, 5, 3)( 6,23, 8,25)( 7,22, 9,24)(10,26,12,28)(11,27,13,29)
(14,35,16,37)(15,34,17,36)(18,30,20,32)(19,31,21,33),
( 2, 5, 3, 4)( 6,18)( 7,19)( 8,21)( 9,20)(10,14)(11,15)(12,17)(13,16)
(22,34)(23,35)(24,37)(25,36)(26,30)(27,31)(28,33)(29,32) ],
[ ( 1, 4, 5)( 6,37,12,31)( 7,36,13,30)( 8,34,10,32)( 9,35,11,33)
(14,25,20,27)(15,24,21,26)(16,22,18,28)(17,23,19,29),
( 2, 3, 5)( 6,15)( 7,14)( 8,16)( 9,17)(10,19)(11,18)(12,20)(13,21)(22,31)
(23,30)(24,32)(25,33)(26,35)(27,34)(28,36)(29,37) ],
[ ( 1, 5, 2, 3, 4)( 6,16)( 7,17)( 8,14)( 9,15)(10,20)(11,21)(12,18)(13,19)
(22,32)(23,33)(24,30)(25,31)(26,36)(27,37)(28,34)(29,35),
( 1, 2)( 6,33,12,34, 7,32,13,35)( 8,31,11,37, 9,30,10,36)(14,29,20,22,15,
28,21,23)(16,27,19,25,17,26,18,24) ],
[ ( 1, 3, 2)( 4, 5)( 6,29, 8,26, 7,28, 9,27)(10,24,12,23,11,25,13,22)
(14,33,16,30,15,32,17,31)(18,36,20,35,19,37,21,34),
( 1, 3, 2, 5, 4)( 6,32,12,35, 7,33,13,34)( 8,30,11,36, 9,31,10,37)
(14,28,20,23,15,29,21,22)(16,26,19,24,17,27,18,25) ],
[ ( 1, 2, 3, 4, 5)( 6,23, 8,25, 7,22, 9,24)(10,26,12,28,11,27,13,29)
(14,35,16,37,15,34,17,36)(18,30,20,32,19,31,21,33),
( 1, 5, 3, 2, 4)( 6,15)( 7,14)( 8,16)( 9,17)(10,19)(11,18)(12,20)(13,21)
(22,31)(23,30)(24,32)(25,33)(26,35)(27,34)(28,36)(29,37) ],
[ ( 1, 3, 5, 2)( 6,25, 9,23, 7,24, 8,22)(10,28,13,26,11,29,12,27)
(14,37,17,35,15,36,16,34)(18,32,21,30,19,33,20,31),
( 1, 4)( 2, 5, 3)( 6,32,13,34, 7,33,12,35)( 8,30,10,37, 9,31,11,36)
(14,29,21,23,15,28,20,22)(16,27,18,24,17,26,19,25) ],
[ ( 1, 5)( 6,15, 7,14)( 8,16, 9,17)(10,19,11,18)(12,20,13,21)(22,31,23,30)
(24,32,25,33)(26,35,27,34)(28,36,29,37),
( 2, 5, 4, 3)( 6,27, 9,28, 7,26, 8,29)(10,22,13,25,11,23,12,24)
(14,31,17,32,15,30,16,33)(18,34,21,37,19,35,20,36) ],
[ ( 1, 2, 5, 3, 4)( 6,27, 9,28, 7,26, 8,29)(10,22,13,25,11,23,12,24)
(14,31,17,32,15,30,16,33)(18,34,21,37,19,35,20,36),
( 2, 5)( 3, 4)( 6,14, 7,15)( 8,17, 9,16)(10,18,11,19)(12,21,13,20)
(22,30,23,31)(24,33,25,32)(26,34,27,35)(28,37,29,36) ],
[ ( 1, 5)( 2, 3, 4)( 6,37,12,30, 7,36,13,31)( 8,35,10,32, 9,34,11,33)
(14,25,20,27,15,24,21,26)(16,23,18,29,17,22,19,28),
( 2, 4, 3, 5)( 6,23, 8,25)( 7,22, 9,24)(10,26,12,28)(11,27,13,29)
(14,35,16,37)(15,34,17,36)(18,31,20,33)(19,30,21,32) ],
[ ( 1, 4, 2, 5)( 6,31,13,36, 7,30,12,37)( 8,33,11,34, 9,32,10,35)
(14,26,21,24,15,27,20,25)(16,28,19,22,17,29,18,23),
( 1, 5, 2, 3)( 6,20)( 7,21)( 8,18)( 9,19)(10,16)(11,17)(12,14)(13,15)
(22,36)(23,37)(24,34)(25,35)(26,32)(27,33)(28,30)(29,31) ],
[ ( 2, 3)( 6,27, 8,29)( 7,26, 9,28)(10,23,12,25)(11,22,13,24)(14,30,16,32)
(15,31,17,33)(18,35,20,37)(19,34,21,36),
( 1, 5, 4, 3)( 6,21)( 7,20)( 8,19)( 9,18)(10,17)(11,16)(12,15)(13,14)
(22,37)(23,36)(24,35)(25,34)(26,33)(27,32)(28,31)(29,30) ],
[ ( 1, 4, 2, 3, 5)( 6,25, 8,23)( 7,24, 9,22)(10,28,12,26)(11,29,13,27)
(14,37,16,35)(15,36,17,34)(18,33,20,31)(19,32,21,30),
( 1, 5, 2, 3, 4)( 6,31,13,36, 7,30,12,37)( 8,33,11,34, 9,32,10,35)
(14,26,21,24,15,27,20,25)(16,28,19,22,17,29,18,23) ],
[ ( 1, 5)( 2, 4, 3)( 6,35,13,33, 7,34,12,32)( 8,37,11,31, 9,36,10,30)
(14,22,21,29,15,23,20,28)(16,24,19,27,17,25,18,26),
( 1, 2, 4, 5, 3)( 6,15, 7,14)( 8,17, 9,16)(10,18,11,19)(12,20,13,21)
(22,31,23,30)(24,33,25,32)(26,34,27,35)(28,36,29,37) ],
[ ( 1, 2, 4)( 6,23, 8,25)( 7,22, 9,24)(10,26,12,28)(11,27,13,29)
(14,35,16,37)(15,34,17,36)(18,31,20,33)(19,30,21,32),
( 1, 5)( 2, 3, 4)( 6,31,12,37, 7,30,13,36)( 8,33,10,35, 9,32,11,34)
(14,27,20,24,15,26,21,25)(16,29,18,22,17,28,19,23) ],
[ ( 1, 5, 2, 4)( 6,25, 8,23)( 7,24, 9,22)(10,28,12,26)(11,29,13,27)
(14,37,16,35)(15,36,17,34)(18,33,20,31)(19,32,21,30),
( 1, 2, 5)( 3, 4)( 6,15, 7,14)( 8,17, 9,16)(10,18,11,19)(12,20,13,21)
(22,31,23,30)(24,33,25,32)(26,34,27,35)(28,36,29,37) ],
[ ( 1, 3, 5)( 6,20, 7,21)( 8,18, 9,19)(10,16,11,17)(12,14,13,15)
(22,36,23,37)(24,34,25,35)(26,32,27,33)(28,30,29,31),
( 1, 2, 4)( 6,29, 8,27)( 7,28, 9,26)(10,25,12,23)(11,24,13,22)
(14,32,16,30)(15,33,17,31)(18,37,20,35)(19,36,21,34) ],
[ ( 1, 4)( 2, 5, 3)( 6,24, 9,22, 7,25, 8,23)(10,29,13,27,11,28,12,26)
(14,36,17,34,15,37,16,35)(18,32,21,30,19,33,20,31),
( 1, 2)( 3, 5)( 6,14)( 7,15)( 8,16)( 9,17)(10,19)(11,18)(12,21)(13,20)
(22,30)(23,31)(24,32)(25,33)(26,35)(27,34)(28,37)(29,36) ],
[ ( 1, 2, 5, 3)( 6,37,13,30)( 7,36,12,31)( 8,34,10,32)( 9,35,11,33)
(14,25,21,27)(15,24,20,26)(16,22,18,29)(17,23,19,28),
( 2, 4)( 6,20, 7,21)( 8,19, 9,18)(10,16,11,17)(12,15,13,14)(22,36,23,37)
(24,35,25,34)(26,32,27,33)(28,31,29,30) ],
[ ( 1, 3, 4, 2, 5)( 6,32,12,35)( 7,33,13,34)( 8,31,11,37)( 9,30,10,36)
(14,29,20,23)(15,28,21,22)(16,26,19,25)(17,27,18,24),
( 1, 5, 4)( 2, 3)( 6,14)( 7,15)( 8,16)( 9,17)(10,19)(11,18)(12,21)(13,20)
(22,30)(23,31)(24,32)(25,33)(26,35)(27,34)(28,37)(29,36) ],
[ ( 1, 5)( 3, 4)( 6,37,13,30)( 7,36,12,31)( 8,34,10,32)( 9,35,11,33)
(14,25,21,27)(15,24,20,26)(16,22,18,29)(17,23,19,28),
( 1, 5, 2, 3, 4)( 6,23, 8,25, 7,22, 9,24)(10,26,12,28,11,27,13,29)
(14,35,16,37,15,34,17,36)(18,31,20,33,19,30,21,32) ],
[ ( 1, 2, 5, 3)( 6,37, 9,35, 7,36, 8,34)(10,33,13,31,11,32,12,30)
(14,29,17,27,15,28,16,26)(18,25,21,23,19,24,20,22),
( 1, 3, 4)( 6,18,10,14)( 7,19,11,15)( 8,20,12,16)( 9,21,13,17)
(22,34,26,30)(23,35,27,31)(24,36,28,32)(25,37,29,33) ],
[ ( 1, 5)( 3, 4)( 6,35, 8,37, 7,34, 9,36)(10,31,12,33,11,30,13,32)
(14,27,16,29,15,26,17,28)(18,23,20,25,19,22,21,24),
( 1, 3, 4)( 2, 5)( 6,25, 9,23, 7,24, 8,22)(10,29,13,27,11,28,12,26)
(14,37,17,35,15,36,16,34)(18,33,21,31,19,32,20,30) ],
[ ( 1, 5, 3)( 6,20,11,17)( 7,21,10,16)( 8,19,13,14)( 9,18,12,15)
(22,36,27,33)(23,37,26,32)(24,35,29,30)(25,34,28,31),
( 1, 4, 3, 2, 5)( 6,29, 9,27, 7,28, 8,26)(10,25,13,23,11,24,12,22)
(14,33,17,31,15,32,16,30)(18,37,21,35,19,36,20,34) ],
[ ( 1, 2)( 6,28, 8,26)( 7,29, 9,27)(10,24,12,22)(11,25,13,23)(14,33,16,31)
(15,32,17,30)(18,36,20,34)(19,37,21,35),
( 1, 4, 2, 5, 3)( 6,18,11,14, 7,19,10,15)( 8,20,13,16, 9,21,12,17)
(22,34,27,30,23,35,26,31)(24,36,29,32,25,37,28,33) ],
[ ( 1, 4, 3)( 6,32, 9,31)( 7,33, 8,30)(10,37,13,34)(11,36,12,35)
(14,25,17,22)(15,24,16,23)(18,28,21,27)(19,29,20,26),
( 2, 4, 5, 3)( 6,26, 8,28)( 7,27, 9,29)(10,22,12,24)(11,23,13,25)
(14,31,16,33)(15,30,17,32)(18,34,20,36)(19,35,21,37) ],
[ ( 1, 5, 4, 2, 3)( 6,15,10,19, 7,14,11,18)( 8,17,12,21, 9,16,13,20)
(22,31,26,35,23,30,27,34)(24,33,28,37,25,32,29,36),
( 1, 5)( 2, 3)( 6,37, 9,34)( 7,36, 8,35)(10,33,13,30)(11,32,12,31)
(14,28,17,27)(15,29,16,26)(18,24,21,23)(19,25,20,22) ],
[ ( 1, 3)( 2, 5, 4)( 6,28, 8,26)( 7,29, 9,27)(10,24,12,22)(11,25,13,23)
(14,33,16,31)(15,32,17,30)(18,36,20,34)(19,37,21,35),
( 1, 4)( 6,35, 8,37)( 7,34, 9,36)(10,31,12,33)(11,30,13,32)(14,27,16,29)
(15,26,17,28)(18,23,20,25)(19,22,21,24) ],
[ ( 1, 2, 3, 4)( 6,20,10,17, 7,21,11,16)( 8,18,12,15, 9,19,13,14)
(22,36,26,33,23,37,27,32)(24,34,28,31,25,35,29,30),
( 1, 4, 5, 3, 2)( 6,30, 8,32)( 7,31, 9,33)(10,35,12,37)(11,34,13,36)
(14,22,16,24)(15,23,17,25)(18,27,20,29)(19,26,21,28) ],
[ ( 1, 5, 2, 3, 4)( 6,14,11,19, 7,15,10,18)( 8,16,13,21, 9,17,12,20)
(22,30,27,35,23,31,26,34)(24,32,29,37,25,33,28,36),
( 2, 4, 3)( 6,26, 8,28)( 7,27, 9,29)(10,22,12,24)(11,23,13,25)
(14,31,16,33)(15,30,17,32)(18,34,20,36)(19,35,21,37) ],
[ ( 1, 4, 5)( 2, 3)( 6,34, 9,37, 7,35, 8,36)(10,30,13,33,11,31,12,32)
(14,27,17,28,15,26,16,29)(18,23,21,24,19,22,20,25),
( 1, 4, 3, 5, 2)( 6,19,11,15, 7,18,10,14)( 8,21,13,17, 9,20,12,16)
(22,35,27,31,23,34,26,30)(24,37,29,33,25,36,28,32) ],
[ ( 1, 2)( 3, 5)( 6,33, 8,30, 7,32, 9,31)(10,36,12,35,11,37,13,34)
(14,24,16,23,15,25,17,22)(18,29,20,26,19,28,21,27),
( 1, 5, 2)( 3, 4)( 6,28, 9,26, 7,29, 8,27)(10,24,13,22,11,25,12,23)
(14,33,17,31,15,32,16,30)(18,36,21,34,19,37,20,35) ],
[ ( 1, 2, 5, 4, 3)( 6,32, 8,31, 7,33, 9,30)(10,37,12,34,11,36,13,35)
(14,25,16,22,15,24,17,23)(18,28,20,27,19,29,21,26),
( 1, 4, 5)( 6,26, 8,28, 7,27, 9,29)(10,22,12,24,11,23,13,25)
(14,31,16,33,15,30,17,32)(18,34,20,36,19,35,21,37) ],
[ ( 1, 4, 5)( 6,17, 7,16)( 8,14, 9,15)(10,21,11,20)(12,18,13,19)
(22,33,23,32)(24,30,25,31)(26,37,27,36)(28,34,29,35),
( 1, 4)( 2, 3, 5)( 6,32,11,37, 8,31,13,34, 7,33,10,36, 9,30,12,35)
(14,24,19,29,16,23,21,26,15,25,18,28,17,22,20,27) ],
[ ( 1, 4)( 2, 5, 3)( 6,20, 9,18, 7,21, 8,19)(10,15,13,16,11,14,12,17)
(22,36,25,34,23,37,24,35)(26,31,29,32,27,30,28,33),
( 1, 2, 5, 3)( 6,24,11,29, 8,23,13,26, 7,25,10,28, 9,22,12,27)
(14,32,19,37,16,31,21,34,15,33,18,36,17,30,20,35) ],
[ ( 1, 2, 3, 4, 5)( 6,29,13,25, 9,27,11,23, 7,28,12,24, 8,26,10,22)
(14,37,21,33,17,35,19,31,15,36,20,32,16,34,18,30),
( 1, 3, 5, 4, 2)( 6,34,12,31, 9,37,10,32, 7,35,13,30, 8,36,11,33)
(14,26,20,23,17,29,18,24,15,27,21,22,16,28,19,25) ],
[ ( 2, 5, 4, 3)( 6,28,13,24, 9,26,11,22, 7,29,12,25, 8,27,10,23)
(14,37,21,33,17,35,19,31,15,36,20,32,16,34,18,30),
( 1, 3, 4)( 6,21, 9,19, 7,20, 8,18)(10,14,13,17,11,15,12,16)
(22,37,25,35,23,36,24,34)(26,30,29,33,27,31,28,32) ],
[ ( 1, 5, 2, 3)( 6,19, 8,21, 7,18, 9,20)(10,17,12,14,11,16,13,15)
(22,35,24,37,23,34,25,36)(26,33,28,30,27,32,29,31),
( 2, 4)( 3, 5)( 6,34,13,30, 9,37,11,33, 7,35,12,31, 8,36,10,32)
(14,27,21,23,17,28,19,24,15,26,20,22,16,29,18,25) ],
[ ( 1, 4, 3, 2, 5)( 6,27,12,22, 9,28,10,25, 7,26,13,23, 8,29,11,24)
(14,34,20,31,17,37,18,32,15,35,21,30,16,36,19,33),
( 2, 4)( 3, 5)( 6,35,13,31, 9,36,11,32, 7,34,12,30, 8,37,10,33)
(14,26,21,22,17,29,19,25,15,27,20,23,16,28,18,24) ],
[ ( 1, 3, 2)( 4, 5)( 6,35,10,32, 9,36,13,30, 7,34,11,33, 8,37,12,31)
(14,23,18,27,17,24,21,28,15,22,19,26,16,25,20,29),
( 1, 3, 5, 2)( 6,24)( 7,25)( 8,22)( 9,23)(10,27)(11,26)(12,28)(13,29)
(14,36)(15,37)(16,34)(17,35)(18,32)(19,33)(20,30)(21,31) ],
[ ( 1, 3, 2)( 4, 5)( 6,18)( 7,19)( 8,21)( 9,20)(10,14)(11,15)(12,17)(13,16)
(22,34)(23,35)(24,37)(25,36)(26,30)(27,31)(28,33)(29,32),
( 1, 5, 2, 3, 4)( 6,37,11,30, 9,35,12,33, 7,36,10,31, 8,34,13,32)
(14,25,19,28,17,23,20,26,15,24,18,29,16,22,21,27) ],
[ ( 1, 2, 5, 4, 3)( 6,20)( 7,21)( 8,18)( 9,19)(10,16)(11,17)(12,14)(13,15)
(22,36)(23,37)(24,34)(25,35)(26,32)(27,33)(28,30)(29,31),
( 1, 2, 4, 5, 3)( 6,22)( 7,23)( 8,25)( 9,24)(10,28)(11,29)(12,26)(13,27)
(14,34)(15,35)(16,37)(17,36)(18,30)(19,31)(20,33)(21,32) ],
[ ( 1, 5, 4, 2)( 6,15)( 7,14)( 8,16)( 9,17)(10,21)(11,20)(12,19)(13,18)
(22,31)(23,30)(24,32)(25,33)(26,37)(27,36)(28,35)(29,34),
( 1, 5, 3)( 6,28, 7,29)( 8,26, 9,27)(10,24,11,25)(12,22,13,23)
(14,30,15,31)(16,33,17,32)(18,36,19,37)(20,34,21,35) ],
[ ( 1, 4)( 2, 3)( 6,14)( 7,15)( 8,17)( 9,16)(10,20)(11,21)(12,18)(13,19)
(22,30)(23,31)(24,33)(25,32)(26,36)(27,37)(28,34)(29,35),
( 1, 5, 2)( 3, 4)( 6,24, 7,25)( 8,22, 9,23)(10,27,11,26)(12,28,13,29)
(14,36,15,37)(16,34,17,35)(18,32,19,33)(20,30,21,31) ],
[ ( 1, 2, 5, 4)( 6,25, 7,24)( 8,23, 9,22)(10,26,11,27)(12,29,13,28)
(14,37,15,36)(16,35,17,34)(18,33,19,32)(20,31,21,30),
( 1, 3, 2, 4, 5)( 6,34,11,32, 9,37,12,30, 7,35,10,33, 8,36,13,31)
(14,22,19,27,17,25,20,28,15,23,18,26,16,24,21,29) ],
[ ( 1, 3, 2, 4, 5)( 6,17)( 7,16)( 8,15)( 9,14)(10,18)(11,19)(12,21)(13,20)
(22,33)(23,32)(24,31)(25,30)(26,34)(27,35)(28,37)(29,36),
( 2, 5, 3)( 6,28, 7,29)( 8,26, 9,27)(10,24,11,25)(12,22,13,23)
(14,30,15,31)(16,33,17,32)(18,36,19,37)(20,34,21,35) ],
[ ( 1, 4, 2)( 3, 5)( 6,26, 7,27)( 8,29, 9,28)(10,22,11,23)(12,25,13,24)
(14,33,15,32)(16,31,17,30)(18,34,19,35)(20,37,21,36),
( 1, 3, 4)( 2, 5)( 6,30,12,36, 8,32,11,35, 7,31,13,37, 9,33,10,34)
(14,29,20,25,16,26,19,22,15,28,21,24,17,27,18,23) ],
[ ( 1, 3)( 4, 5)( 6,30,12,36, 8,32,11,35, 7,31,13,37, 9,33,10,34)
(14,29,20,25,16,26,19,22,15,28,21,24,17,27,18,23),
( 1, 5, 3, 2)( 6,21, 7,20)( 8,19, 9,18)(10,17,11,16)(12,15,13,14)
(22,37,23,36)(24,35,25,34)(26,33,27,32)(28,31,29,30) ],
[ ( 3, 4, 5)( 6,18, 7,19)( 8,21, 9,20)(10,14,11,15)(12,17,13,16)
(22,34,23,35)(24,37,25,36)(26,30,27,31)(28,33,29,32),
( 1, 3)( 2, 4)( 6,28, 7,29)( 8,26, 9,27)(10,24,11,25)(12,22,13,23)
(14,30,15,31)(16,33,17,32)(18,36,19,37)(20,34,21,35) ],
[ ( 1, 5, 3)( 6,37, 9,34)( 7,36, 8,35)(10,33,13,30)(11,32,12,31)
(14,28,17,27)(15,29,16,26)(18,24,21,23)(19,25,20,22),
( 1, 4)( 2, 5, 3)( 6,26, 8,28)( 7,27, 9,29)(10,22,12,24)(11,23,13,25)
(14,34,16,36)(15,35,17,37)(18,30,20,32)(19,31,21,33),
( 1, 4)( 6,23, 8,25)( 7,22, 9,24)(10,27,12,29)(11,26,13,28)(14,31,16,33)
(15,30,17,32)(18,35,20,37)(19,34,21,36) ],
[ ( 1, 2, 4, 5, 3)( 6,28, 8,26)( 7,29, 9,27)(10,24,12,22)(11,25,13,23)
(14,36,16,34)(15,37,17,35)(18,32,20,30)(19,33,21,31),
( 1, 5, 2, 3)( 6,17, 7,16)( 8,15, 9,14)(10,21,11,20)(12,19,13,18)
(22,33,23,32)(24,31,25,30)(26,37,27,36)(28,35,29,34),
( 1, 2, 3)( 6,31, 9,32)( 7,30, 8,33)(10,35,13,36)(11,34,12,37)
(14,22,17,25)(15,23,16,24)(18,26,21,29)(19,27,20,28) ],
[ ( 1, 5, 3, 4, 2)( 6,16, 7,17)( 8,14, 9,15)(10,20,11,21)(12,18,13,19)
(22,32,23,33)(24,30,25,31)(26,36,27,37)(28,34,29,35),
( 2, 4, 3)( 6,34, 9,37)( 7,35, 8,36)(10,30,13,33)(11,31,12,32)
(14,27,17,28)(15,26,16,29)(18,23,21,24)(19,22,20,25),
( 1, 4)( 3, 5)( 6,25, 8,23)( 7,24, 9,22)(10,29,12,27)(11,28,13,26)
(14,33,16,31)(15,32,17,30)(18,37,20,35)(19,36,21,34) ],
[ ( 1, 5, 4, 3, 2)( 6,21)( 7,20)( 8,19)( 9,18)(10,17)(11,16)(12,15)(13,14)
(22,37)(23,36)(24,35)(25,34)(26,33)(27,32)(28,31)(29,30),
( 1, 5, 4)( 2, 3)( 6,31, 9,32)( 7,30, 8,33)(10,35,13,36)(11,34,12,37)
(14,25,17,22)(15,24,16,23)(18,29,21,26)(19,28,20,27),
( 2, 5, 3, 4)( 6,23, 7,22)( 8,25, 9,24)(10,27,11,26)(12,29,13,28)
(14,33,15,32)(16,31,17,30)(18,37,19,36)(20,35,21,34) ],
[ ( 1, 4, 2, 5)( 6,27, 7,26)( 8,29, 9,28)(10,23,11,22)(12,25,13,24)
(14,37,15,36)(16,35,17,34)(18,33,19,32)(20,31,21,30),
( 1, 3, 4, 2, 5)( 6,30, 9,33)( 7,31, 8,32)(10,34,13,37)(11,35,12,36)
(14,24,17,23)(15,25,16,22)(18,28,21,27)(19,29,20,26),
( 1, 4)( 6,24, 7,25)( 8,22, 9,23)(10,28,11,29)(12,26,13,27)(14,30,15,31)
(16,32,17,33)(18,34,19,35)(20,36,21,37) ],
[ ( 1, 4, 5, 2)( 6,17)( 7,16)( 8,15)( 9,14)(10,21)(11,20)(12,19)(13,18)
(22,33)(23,32)(24,31)(25,30)(26,37)(27,36)(28,35)(29,34),
( 1, 3, 5, 4, 2)( 6,26, 7,27)( 8,28, 9,29)(10,22,11,23)(12,24,13,25)
(14,36,15,37)(16,34,17,35)(18,32,19,33)(20,30,21,31),
( 1, 3, 2, 4, 5)( 6,19)( 7,18)( 8,21)( 9,20)(10,15)(11,14)(12,17)(13,16)
(22,35)(23,34)(24,37)(25,36)(26,31)(27,30)(28,33)(29,32) ],
[ ( 1, 2, 4, 5, 3)( 6,12)( 7,13)( 8,10)( 9,11)(14,20)(15,21)(16,18)(17,19)
(22,28)(23,29)(24,26)(25,27)(30,36)(31,37)(32,34)(33,35),
( 1, 4, 3)( 6,36, 9,35)( 7,37, 8,34)(10,32,13,31)(11,33,12,30)
(14,26,17,29)(15,27,16,28)(18,22,21,25)(19,23,20,24),
( 1, 3)( 2, 4)( 6,19)( 7,18)( 8,21)( 9,20)(10,15)(11,14)(12,17)(13,16)
(22,35)(23,34)(24,37)(25,36)(26,31)(27,30)(28,33)(29,32) ],
[ ( 1, 5, 2)( 6,11)( 7,10)( 8,13)( 9,12)(14,19)(15,18)(16,21)(17,20)(22,27)
(23,26)(24,29)(25,28)(30,35)(31,34)(32,37)(33,36),
( 1, 3, 2, 4)( 6,26, 7,27)( 8,28, 9,29)(10,22,11,23)(12,24,13,25)
(14,36,15,37)(16,34,17,35)(18,32,19,33)(20,30,21,31),
( 1, 3, 5)( 2, 4)( 6,32, 7,33)( 8,30, 9,31)(10,36,11,37)(12,34,13,35)
(14,24,15,25)(16,22,17,23)(18,28,19,29)(20,26,21,27) ],
[ ( 1, 3, 4, 5)( 6,18, 8,20)( 7,19, 9,21)(10,14,12,16)(11,15,13,17)
(22,34,24,36)(23,35,25,37)(26,30,28,32)(27,31,29,33),
( 1, 3)( 2, 5)( 6,32, 7,33)( 8,30, 9,31)(10,36,11,37)(12,34,13,35)
(14,24,15,25)(16,22,17,23)(18,28,19,29)(20,26,21,27),
( 1, 5)( 6,15, 8,17)( 7,14, 9,16)(10,19,12,21)(11,18,13,20)(22,31,24,33)
(23,30,25,32)(26,35,28,37)(27,34,29,36) ],
[ ( 2, 3)( 6,37, 7,36)( 8,35, 9,34)(10,33,11,32)(12,31,13,30)(14,29,15,28)
(16,27,17,26)(18,25,19,24)(20,23,21,22),
( 1, 2, 5, 4)( 6,15, 8,17)( 7,14, 9,16)(10,19,12,21)(11,18,13,20)
(22,31,24,33)(23,30,25,32)(26,35,28,37)(27,34,29,36),
( 1, 3, 4, 5, 2)( 6,31, 7,30)( 8,33, 9,32)(10,35,11,34)(12,37,13,36)
(14,23,15,22)(16,25,17,24)(18,27,19,26)(20,29,21,28) ],
[ ( 2, 5)( 3, 4)( 6,36, 7,37)( 8,34, 9,35)(10,32,11,33)(12,30,13,31)
(14,28,15,29)(16,26,17,27)(18,24,19,25)(20,22,21,23),
( 1, 5)( 3, 4)( 6,33, 7,32)( 8,31, 9,30)(10,37,11,36)(12,35,13,34)
(14,25,15,24)(16,23,17,22)(18,29,19,28)(20,27,21,26),
( 1, 4)( 2, 5)( 6,19, 8,21)( 7,18, 9,20)(10,15,12,17)(11,14,13,16)
(22,35,24,37)(23,34,25,36)(26,31,28,33)(27,30,29,32) ],
[ ( 1, 4)( 2, 5)( 6,21, 8,19)( 7,20, 9,18)(10,15,12,17)(11,14,13,16)
(22,37,24,35)(23,36,25,34)(26,31,28,33)(27,30,29,32),
( 1, 5, 2)( 3, 4)( 6,22, 7,23)( 8,24, 9,25)(10,26,11,27)(12,28,13,29)
(14,32,15,33)(16,30,17,31)(18,36,19,37)(20,34,21,35),
( 1, 4, 2, 5)( 6,31, 9,32)( 7,30, 8,33)(10,35,13,36)(11,34,12,37)
(14,25,17,22)(15,24,16,23)(18,29,21,26)(19,28,20,27) ],
[ ( 1, 2, 4)( 3, 5)( 6,23, 7,22)( 8,25, 9,24)(10,27,11,26)(12,29,13,28)
(14,33,15,32)(16,31,17,30)(18,37,19,36)(20,35,21,34),
( 1, 3)( 2, 4)( 6,13, 8,11)( 7,12, 9,10)(14,21,16,19)(15,20,17,18)
(22,29,24,27)(23,28,25,26)(30,37,32,35)(31,36,33,34),
( 1, 3, 4, 5, 2)( 6,35, 7,34)( 8,37, 9,36)(10,33,11,32)(12,31,13,30)
(14,29,15,28)(16,27,17,26)(18,23,19,22)(20,25,21,24) ],
[ ( 1, 3)( 2, 4)( 6,34, 7,35)( 8,36, 9,37)(10,32,11,33)(12,30,13,31)
(14,28,15,29)(16,26,17,27)(18,22,19,23)(20,24,21,25),
( 1, 5, 3, 2)( 6,12, 8,10)( 7,13, 9,11)(14,20,16,18)(15,21,17,19)
(22,28,24,26)(23,29,25,27)(30,36,32,34)(31,37,33,35),
( 1, 2, 3, 5, 4)( 6,28, 9,27)( 7,29, 8,26)(10,22,13,25)(11,23,12,24)
(14,34,17,37)(15,35,16,36)(18,32,21,31)(19,33,20,30) ],
[ ( 1, 4)( 2, 3, 5)( 6,11, 8,13)( 7,10, 9,12)(14,19,16,21)(15,18,17,20)
(22,27,24,29)(23,26,25,28)(30,35,32,37)(31,34,33,36),
( 1, 5)( 2, 4)( 6,32, 9,31)( 7,33, 8,30)(10,36,13,35)(11,37,12,34)
(14,22,17,25)(15,23,16,24)(18,26,21,29)(19,27,20,28),
( 1, 4, 3)( 2, 5)( 6,17)( 7,16)( 8,15)( 9,14)(10,21)(11,20)(12,19)(13,18)
(22,33)(23,32)(24,31)(25,30)(26,37)(27,36)(28,35)(29,34) ],
[ ( 1, 2, 4)( 6,32, 9,31)( 7,33, 8,30)(10,36,13,35)(11,37,12,34)
(14,22,17,25)(15,23,16,24)(18,26,21,29)(19,27,20,28),
( 1, 5, 4, 2, 3)( 6,25, 7,24)( 8,23, 9,22)(10,29,11,28)(12,27,13,26)
(14,31,15,30)(16,33,17,32)(18,35,19,34)(20,37,21,36),
( 1, 5)( 2, 3)( 6,12, 8,10)( 7,13, 9,11)(14,20,16,18)(15,21,17,19)
(22,28,24,26)(23,29,25,27)(30,36,32,34)(31,37,33,35) ],
[ ( 1, 3)( 2, 4, 5)( 6,22, 7,23)( 8,24, 9,25)(10,26,11,27)(12,28,13,29)
(14,32,15,33)(16,30,17,31)(18,36,19,37)(20,34,21,35),
( 1, 2, 3, 4, 5)( 6,15)( 7,14)( 8,17)( 9,16)(10,19)(11,18)(12,21)(13,20)
(22,31)(23,30)(24,33)(25,32)(26,35)(27,34)(28,37)(29,36),
( 1, 3, 2)( 4, 5)( 6,28)( 7,29)( 8,26)( 9,27)(10,25)(11,24)(12,23)(13,22)
(14,34)(15,35)(16,36)(17,37)(18,31)(19,30)(20,33)(21,32) ],
[ ( 1, 2, 5)( 3, 4)( 6,24, 7,25)( 8,22, 9,23)(10,28,11,29)(12,26,13,27)
(14,30,15,31)(16,32,17,33)(18,34,19,35)(20,36,21,37),
( 1, 4, 2, 3, 5)( 6,13, 7,12)( 8,11, 9,10)(14,21,15,20)(16,19,17,18)
(22,29,23,28)(24,27,25,26)(30,37,31,36)(32,35,33,34),
( 1, 3, 5, 2, 4)( 6,32, 9,31)( 7,33, 8,30)(10,36,13,35)(11,37,12,34)
(14,22,17,25)(15,23,16,24)(18,26,21,29)(19,27,20,28) ],
[ ( 1, 3, 5, 2)( 6,18, 7,19)( 8,20, 9,21)(10,15,11,14)(12,17,13,16)
(22,34,23,35)(24,36,25,37)(26,31,27,30)(28,33,29,32),
( 1, 5, 4)( 2, 3)( 6,30, 9,33)( 7,31, 8,32)(10,34,13,37)(11,35,12,36)
(14,24,17,23)(15,25,16,22)(18,28,21,27)(19,29,20,26),
( 1, 5)( 2, 4, 3)( 6,11, 7,10)( 8,13, 9,12)(14,19,15,18)(16,21,17,20)
(22,27,23,26)(24,29,25,28)(30,35,31,34)(32,37,33,36) ],
[ ( 1, 2)( 3, 5)( 6,19, 7,18)( 8,21, 9,20)(10,14,11,15)(12,16,13,17)
(22,35,23,34)(24,37,25,36)(26,30,27,31)(28,32,29,33),
( 1, 4, 3, 2)( 6,23, 7,22)( 8,25, 9,24)(10,27,11,26)(12,29,13,28)
(14,33,15,32)(16,31,17,30)(18,37,19,36)(20,35,21,34),
( 1, 2, 5, 3)( 6,11, 7,10)( 8,13, 9,12)(14,19,15,18)(16,21,17,20)
(22,27,23,26)(24,29,25,28)(30,35,31,34)(32,37,33,36) ],
[ ( 3, 4)( 6,27)( 7,26)( 8,29)( 9,28)(10,22)(11,23)(12,24)(13,25)(14,37)
(15,36)(16,35)(17,34)(18,32)(19,33)(20,30)(21,31),
( 1, 2, 3, 4, 5)( 6,22, 7,23)( 8,24, 9,25)(10,26,11,27)(12,28,13,29)
(14,32,15,33)(16,30,17,31)(18,36,19,37)(20,34,21,35),
( 1, 3, 2)( 6,35, 8,37)( 7,34, 9,36)(10,30,12,32)(11,31,13,33)
(14,29,16,27)(15,28,17,26)(18,24,20,22)(19,25,21,23) ],
[ ( 1, 2, 5, 3, 4)( 6,31, 9,32)( 7,30, 8,33)(10,35,13,36)(11,34,12,37)
(14,25,17,22)(15,24,16,23)(18,29,21,26)(19,28,20,27),
( 2, 4, 5)( 6,21, 7,20)( 8,19, 9,18)(10,16,11,17)(12,14,13,15)
(22,37,23,36)(24,35,25,34)(26,32,27,33)(28,30,29,31),
( 1, 2, 5, 3, 4)( 6,12, 7,13)( 8,10, 9,11)(14,20,15,21)(16,18,17,19)
(22,28,23,29)(24,26,25,27)(30,36,31,37)(32,34,33,35) ],
[ ( 1, 4, 3, 2)( 6,28, 8,26)( 7,29, 9,27)(10,23,12,25)(11,22,13,24)
(14,34,16,36)(15,35,17,37)(18,33,20,31)(19,32,21,30),
( 1, 2, 3, 4, 5)( 6,36, 8,34)( 7,37, 9,35)(10,31,12,33)(11,30,13,32)
(14,28,16,26)(15,29,17,27)(18,23,20,25)(19,22,21,24),
( 2, 3, 5, 4)( 6,18, 7,19)( 8,20, 9,21)(10,17,11,16)(12,15,13,14)
(22,34,23,35)(24,36,25,37)(26,33,27,32)(28,31,29,30) ],
[ ( 1, 5, 4)( 2, 3)( 6,21, 7,20)( 8,19, 9,18)(10,14,11,15)(12,16,13,17)
(22,37,23,36)(24,35,25,34)(26,30,27,31)(28,32,29,33),
( 1, 3, 5, 2, 4)( 6,17, 8,15)( 7,16, 9,14)(10,21,12,19)(11,20,13,18)
(22,33,24,31)(23,32,25,30)(26,37,28,35)(27,36,29,34),
( 1, 3)( 4, 5)( 6,26, 8,28)( 7,27, 9,29)(10,25,12,23)(11,24,13,22)
(14,36,16,34)(15,37,17,35)(18,31,20,33)(19,30,21,32) ],
[ ( 1, 4)( 2, 3, 5)( 6,12, 9,11)( 7,13, 8,10)(14,20,17,19)(15,21,16,18)
(22,28,25,27)(23,29,24,26)(30,36,33,35)(31,37,32,34),
( 2, 3, 4)( 6,21, 7,20)( 8,19, 9,18)(10,14,11,15)(12,16,13,17)
(22,37,23,36)(24,35,25,34)(26,30,27,31)(28,32,29,33),
( 1, 3, 2, 4)( 6,23, 7,22)( 8,25, 9,24)(10,27,11,26)(12,29,13,28)
(14,33,15,32)(16,31,17,30)(18,37,19,36)(20,35,21,34) ],
[ ( 1, 5, 3)( 6,31, 7,30)( 8,33, 9,32)(10,35,11,34)(12,37,13,36)
(14,23,15,22)(16,25,17,24)(18,27,19,26)(20,29,21,28),
( 1, 2, 5, 4, 3)( 6,26, 8,28)( 7,27, 9,29)(10,25,12,23)(11,24,13,22)
(14,36,16,34)(15,37,17,35)(18,31,20,33)(19,30,21,32),
( 1, 5, 4)( 6,23, 7,22)( 8,25, 9,24)(10,27,11,26)(12,29,13,28)
(14,33,15,32)(16,31,17,30)(18,37,19,36)(20,35,21,34) ],
[ ( 1, 4)( 2, 3, 5)( 6,10)( 7,11)( 8,12)( 9,13)(14,18)(15,19)(16,20)(17,21)
(22,26)(23,27)(24,28)(25,29)(30,34)(31,35)(32,36)(33,37),
( 2, 3, 5)( 6,23)( 7,22)( 8,25)( 9,24)(10,26)(11,27)(12,28)(13,29)(14,33)
(15,32)(16,31)(17,30)(18,36)(19,37)(20,34)(21,35),
( 1, 2, 3, 5, 4)( 6,37, 9,34)( 7,36, 8,35)(10,32,13,31)(11,33,12,30)
(14,27,17,28)(15,26,16,29)(18,22,21,25)(19,23,20,24) ],
[ ( 1, 2, 4)( 3, 5)( 6,13)( 7,12)( 8,11)( 9,10)(14,21)(15,20)(16,19)(17,18)
(22,29)(23,28)(24,27)(25,26)(30,37)(31,36)(32,35)(33,34),
( 1, 3, 5)( 6,19)( 7,18)( 8,21)( 9,20)(10,15)(11,14)(12,17)(13,16)(22,35)
(23,34)(24,37)(25,36)(26,31)(27,30)(28,33)(29,32),
( 1, 4, 3, 2, 5)( 6,31, 8,33)( 7,30, 9,32)(10,34,12,36)(11,35,13,37)
(14,25,16,23)(15,24,17,22)(18,28,20,26)(19,29,21,27) ],
[ ( 1, 5, 3, 2)( 6,30, 8,32)( 7,31, 9,33)(10,35,12,37)(11,34,13,36)
(14,24,16,22)(15,25,17,23)(18,29,20,27)(19,28,21,26),
( 1, 4)( 2, 3, 5)( 6,36, 9,35)( 7,37, 8,34)(10,33,13,30)(11,32,12,31)
(14,26,17,29)(15,27,16,28)(18,23,21,24)(19,22,20,25),
( 1, 4, 2, 3)( 6,25)( 7,24)( 8,23)( 9,22)(10,28)(11,29)(12,26)(13,27)
(14,31)(15,30)(16,33)(17,32)(18,34)(19,35)(20,36)(21,37) ],
[ ( 2, 4, 5)( 6,18)( 7,19)( 8,20)( 9,21)(10,14)(11,15)(12,16)(13,17)(22,34)
(23,35)(24,36)(25,37)(26,30)(27,31)(28,32)(29,33),
( 1, 4)( 2, 5)( 6,26, 7,27)( 8,28, 9,29)(10,23,11,22)(12,25,13,24)
(14,36,15,37)(16,34,17,35)(18,33,19,32)(20,31,21,30),
( 1, 4)( 3, 5)( 6,36, 9,35)( 7,37, 8,34)(10,33,13,30)(11,32,12,31)
(14,26,17,29)(15,27,16,28)(18,23,21,24)(19,22,20,25) ],
[ ( 1, 3)( 2, 4)( 6,17, 8,15)( 7,16, 9,14)(10,21,12,19)(11,20,13,18)
(22,33,24,31)(23,32,25,30)(26,37,28,35)(27,36,29,34),
( 1, 4, 5, 2)( 6,26, 7,27)( 8,28, 9,29)(10,23,11,22)(12,25,13,24)
(14,36,15,37)(16,34,17,35)(18,33,19,32)(20,31,21,30),
( 1, 4, 2)( 3, 5)( 6,19, 8,21)( 7,18, 9,20)(10,15,12,17)(11,14,13,16)
(22,35,24,37)(23,34,25,36)(26,31,28,33)(27,30,29,32) ],
[ ( 1, 3, 2, 5)( 6,28, 7,29)( 8,26, 9,27)(10,25,11,24)(12,23,13,22)
(14,34,15,35)(16,36,17,37)(18,31,19,30)(20,33,21,32),
( 1, 4, 5)( 2, 3)( 6,22)( 7,23)( 8,24)( 9,25)(10,27)(11,26)(12,29)(13,28)
(14,32)(15,33)(16,30)(17,31)(18,37)(19,36)(20,35)(21,34),
( 2, 3, 5, 4)( 6,18, 8,20)( 7,19, 9,21)(10,14,12,16)(11,15,13,17)
(22,34,24,36)(23,35,25,37)(26,30,28,32)(27,31,29,33) ],
[ ( 1, 4, 2, 5)( 6,33)( 7,32)( 8,31)( 9,30)(10,36)(11,37)(12,34)(13,35)
(14,25)(15,24)(16,23)(17,22)(18,28)(19,29)(20,26)(21,27),
( 1, 3, 5)( 6,15, 8,17)( 7,14, 9,16)(10,19,12,21)(11,18,13,20)
(22,31,24,33)(23,30,25,32)(26,35,28,37)(27,34,29,36),
( 1, 4, 5)( 6,27, 7,26)( 8,29, 9,28)(10,22,11,23)(12,24,13,25)
(14,37,15,36)(16,35,17,34)(18,32,19,33)(20,30,21,31) ],
[ ( 1, 5)( 2, 3, 4)( 6,36, 7,37)( 8,34, 9,35)(10,33,11,32)(12,31,13,30)
(14,28,15,29)(16,26,17,27)(18,25,19,24)(20,23,21,22),
( 1, 5, 3, 2, 4)( 6,32)( 7,33)( 8,30)( 9,31)(10,37)(11,36)(12,35)(13,34)
(14,24)(15,25)(16,22)(17,23)(18,29)(19,28)(20,27)(21,26),
( 2, 4)( 3, 5)( 6,28, 7,29)( 8,26, 9,27)(10,25,11,24)(12,23,13,22)
(14,34,15,35)(16,36,17,37)(18,31,19,30)(20,33,21,32) ],
[ ( 1, 4, 5)( 6,14, 8,16)( 7,15, 9,17)(10,18,12,20)(11,19,13,21)
(22,30,24,32)(23,31,25,33)(26,34,28,36)(27,35,29,37),
( 1, 4, 3, 5)( 6,35, 7,34)( 8,37, 9,36)(10,30,11,31)(12,32,13,33)
(14,27,15,26)(16,29,17,28)(18,22,19,23)(20,24,21,25),
( 1, 2, 3, 4, 5)( 6,13)( 7,12)( 8,11)( 9,10)(14,21)(15,20)(16,19)(17,18)
(22,29)(23,28)(24,27)(25,26)(30,37)(31,36)(32,35)(33,34) ],
[ ( 2, 5, 4)( 6,37, 7,36)( 8,35, 9,34)(10,32,11,33)(12,30,13,31)
(14,29,15,28)(16,27,17,26)(18,24,19,25)(20,22,21,23),
( 1, 3, 5)( 6,27, 7,26)( 8,29, 9,28)(10,22,11,23)(12,24,13,25)
(14,37,15,36)(16,35,17,34)(18,32,19,33)(20,30,21,31),
( 1, 4, 5, 3, 2)( 6,13)( 7,12)( 8,11)( 9,10)(14,21)(15,20)(16,19)(17,18)
(22,29)(23,28)(24,27)(25,26)(30,37)(31,36)(32,35)(33,34) ],
[ ( 1, 4, 2, 5)( 6,27, 9,28)( 7,26, 8,29)(10,22,13,25)(11,23,12,24)
(14,37,17,34)(15,36,16,35)(18,32,21,31)(19,33,20,30),
( 1, 3)( 4, 5)( 6,25, 8,23)( 7,24, 9,22)(10,28,12,26)(11,29,13,27)
(14,31,16,33)(15,30,17,32)(18,34,20,36)(19,35,21,37),
( 3, 5)( 6,21, 8,19)( 7,20, 9,18)(10,17,12,15)(11,16,13,14)(22,37,24,35)
(23,36,25,34)(26,33,28,31)(27,32,29,30) ],
[ ( 1, 2, 4)( 3, 5)( 6,32, 8,30)( 7,33, 9,31)(10,37,12,35)(11,36,13,34)
(14,24,16,22)(15,25,17,23)(18,29,20,27)(19,28,21,26),
( 1, 4)( 2, 5, 3)( 6,18, 8,20)( 7,19, 9,21)(10,14,12,16)(11,15,13,17)
(22,34,24,36)(23,35,25,37)(26,30,28,32)(27,31,29,33),
( 1, 5, 4)( 6,37, 9,34)( 7,36, 8,35)(10,32,13,31)(11,33,12,30)
(14,29,17,26)(15,28,16,27)(18,24,21,23)(19,25,20,22) ],
[ ( 1, 4, 3)( 6,33, 8,31)( 7,32, 9,30)(10,36,12,34)(11,37,13,35)
(14,25,16,23)(15,24,17,22)(18,28,20,26)(19,29,21,27),
( 1, 4, 5, 2, 3)( 6,12)( 7,13)( 8,10)( 9,11)(14,20)(15,21)(16,18)(17,19)
(22,28)(23,29)(24,26)(25,27)(30,36)(31,37)(32,34)(33,35),
( 1, 3, 2, 4)( 6,19, 8,21)( 7,18, 9,20)(10,15,12,17)(11,14,13,16)
(22,35,24,37)(23,34,25,36)(26,31,28,33)(27,30,29,32) ],
[ ( 1, 2, 5)( 6,20, 8,18)( 7,21, 9,19)(10,16,12,14)(11,17,13,15)
(22,36,24,34)(23,37,25,35)(26,32,28,30)(27,33,29,31),
( 3, 5, 4)( 6,29, 9,26)( 7,28, 8,27)(10,24,13,23)(11,25,12,22)
(14,35,17,36)(15,34,16,37)(18,30,21,33)(19,31,20,32),
( 1, 3, 5, 2)( 6,34, 9,37)( 7,35, 8,36)(10,31,13,32)(11,30,12,33)
(14,26,17,29)(15,27,16,28)(18,23,21,24)(19,22,20,25) ],
[ ( 2, 3)( 4, 5)( 6,14, 8,16)( 7,15, 9,17)(10,18,12,20)(11,19,13,21)
(22,30,24,32)(23,31,25,33)(26,34,28,36)(27,35,29,37),
( 1, 4, 2)( 6,13)( 7,12)( 8,11)( 9,10)(14,21)(15,20)(16,19)(17,18)(22,29)
(23,28)(24,27)(25,26)(30,37)(31,36)(32,35)(33,34),
( 3, 4)( 6,23, 8,25)( 7,22, 9,24)(10,26,12,28)(11,27,13,29)(14,33,16,31)
(15,32,17,30)(18,36,20,34)(19,37,21,35) ],
[ ( 1, 4, 2, 3, 5)( 6,28, 9,27)( 7,29, 8,26)(10,25,13,22)(11,24,12,23)
(14,34,17,37)(15,35,16,36)(18,31,21,32)(19,30,20,33),
( 1, 4, 5, 2, 3)( 6,25, 8,23)( 7,24, 9,22)(10,28,12,26)(11,29,13,27)
(14,31,16,33)(15,30,17,32)(18,34,20,36)(19,35,21,37),
( 1, 5, 2, 4, 3)( 6,16, 8,14)( 7,17, 9,15)(10,20,12,18)(11,21,13,19)
(22,32,24,30)(23,33,25,31)(26,36,28,34)(27,37,29,35) ],
[ ( 1, 3)( 2, 4)( 6,24)( 7,25)( 8,22)( 9,23)(10,29)(11,28)(12,27)(13,26)
(14,30)(15,31)(16,32)(17,33)(18,35)(19,34)(20,37)(21,36),
( 1, 5)( 2, 3, 4)( 6,20, 8,18)( 7,21, 9,19)(10,14,12,16)(11,15,13,17)
(22,36,24,34)(23,37,25,35)(26,30,28,32)(27,31,29,33),
( 1, 5, 2)( 6,16)( 7,17)( 8,14)( 9,15)(10,20)(11,21)(12,18)(13,19)(22,32)
(23,33)(24,30)(25,31)(26,36)(27,37)(28,34)(29,35) ],
[ ( 1, 5)( 2, 4, 3)( 6,20, 8,18)( 7,21, 9,19)(10,14,12,16)(11,15,13,17)
(22,36,24,34)(23,37,25,35)(26,30,28,32)(27,31,29,33),
( 1, 3, 5)( 6,27, 9,28)( 7,26, 8,29)(10,24,13,23)(11,25,12,22)
(14,37,17,34)(15,36,16,35)(18,30,21,33)(19,31,20,32),
( 1, 3)( 2, 4, 5)( 6,25)( 7,24)( 8,23)( 9,22)(10,28)(11,29)(12,26)(13,27)
(14,31)(15,30)(16,33)(17,32)(18,34)(19,35)(20,36)(21,37) ],
[ ( 1, 2, 5, 4)( 6,32, 8,30)( 7,33, 9,31)(10,37,12,35)(11,36,13,34)
(14,22,16,24)(15,23,17,25)(18,27,20,29)(19,26,21,28),
( 1, 2, 4, 3, 5)( 6,24)( 7,25)( 8,22)( 9,23)(10,29)(11,28)(12,27)(13,26)
(14,30)(15,31)(16,32)(17,33)(18,35)(19,34)(20,37)(21,36),
( 1, 2, 5)( 6,36, 7,37)( 8,34, 9,35)(10,31,11,30)(12,33,13,32)
(14,26,15,27)(16,28,17,29)(18,25,19,24)(20,23,21,22) ],
[ ( 1, 4)( 6,25)( 7,24)( 8,23)( 9,22)(10,28)(11,29)(12,26)(13,27)(14,31)
(15,30)(16,33)(17,32)(18,34)(19,35)(20,36)(21,37),
( 1, 3, 2, 4, 5)( 6,18, 8,20)( 7,19, 9,21)(10,16,12,14)(11,17,13,15)
(22,34,24,36)(23,35,25,37)(26,32,28,30)(27,33,29,31),
( 1, 5, 2, 3, 4)( 6,28, 9,27)( 7,29, 8,26)(10,23,13,24)(11,22,12,25)
(14,34,17,37)(15,35,16,36)(18,33,21,30)(19,32,20,31) ],
[ ( 1, 3, 2, 4, 5)( 6,13, 8,11)( 7,12, 9,10)(14,21,16,19)(15,20,17,18)
(22,29,24,27)(23,28,25,26)(30,37,32,35)(31,36,33,34),
( 1, 3, 2, 5, 4)( 6,16)( 7,17)( 8,14)( 9,15)(10,20)(11,21)(12,18)(13,19)
(22,32)(23,33)(24,30)(25,31)(26,36)(27,37)(28,34)(29,35),
( 1, 3, 5, 4)( 6,32, 8,30)( 7,33, 9,31)(10,37,12,35)(11,36,13,34)
(14,22,16,24)(15,23,17,25)(18,27,20,29)(19,26,21,28) ],
[ ( 2, 4)( 3, 5)( 6,16)( 7,17)( 8,14)( 9,15)(10,20)(11,21)(12,18)(13,19)
(22,32)(23,33)(24,30)(25,31)(26,36)(27,37)(28,34)(29,35),
( 1, 2, 5)( 6,36, 7,37)( 8,34, 9,35)(10,31,11,30)(12,33,13,32)
(14,26,15,27)(16,28,17,29)(18,25,19,24)(20,23,21,22),
( 1, 3, 5, 2, 4)( 6,31, 8,33)( 7,30, 9,32)(10,34,12,36)(11,35,13,37)
(14,25,16,23)(15,24,17,22)(18,28,20,26)(19,29,21,27) ],
[ ( 1, 5, 3, 2, 4)( 6,20, 9,19)( 7,21, 8,18)(10,14,13,17)(11,15,12,16)
(22,36,25,35)(23,37,24,34)(26,30,29,33)(27,31,28,32),
( 2, 4, 3)( 6,22)( 7,23)( 8,24)( 9,25)(10,27)(11,26)(12,29)(13,28)(14,32)
(15,33)(16,30)(17,31)(18,37)(19,36)(20,35)(21,34),
( 1, 3)( 6,29, 9,26)( 7,28, 8,27)(10,22,13,25)(11,23,12,24)(14,35,17,36)
(15,34,16,37)(18,32,21,31)(19,33,20,30) ],
[ ( 2, 3, 5)( 6,31, 9,32)( 7,30, 8,33)(10,34,13,37)(11,35,12,36)
(14,24,17,23)(15,25,16,22)(18,29,21,26)(19,28,20,27),
( 1, 2)( 3, 5, 4)( 6,24)( 7,25)( 8,22)( 9,23)(10,29)(11,28)(12,27)(13,26)
(14,30)(15,31)(16,32)(17,33)(18,35)(19,34)(20,37)(21,36),
( 1, 2, 4)( 6,19, 9,20)( 7,18, 8,21)(10,17,13,14)(11,16,12,15)
(22,35,25,36)(23,34,24,37)(26,33,29,30)(27,32,28,31) ],
[ ( 1, 4, 5, 3)( 6,28, 9,27)( 7,29, 8,26)(10,23,13,24)(11,22,12,25)
(14,34,17,37)(15,35,16,36)(18,33,21,30)(19,32,20,31),
( 1, 5, 3)( 6,33, 9,30)( 7,32, 8,31)(10,36,13,35)(11,37,12,34)
(14,22,17,25)(15,23,16,24)(18,27,21,28)(19,26,20,29),
( 2, 5)( 6,22)( 7,23)( 8,24)( 9,25)(10,27)(11,26)(12,29)(13,28)(14,32)
(15,33)(16,30)(17,31)(18,37)(19,36)(20,35)(21,34) ],
[ ( 1, 4, 5)( 6,15, 7,14)( 8,17, 9,16)(10,19,11,18)(12,21,13,20)
(22,31,23,30)(24,33,25,32)(26,35,27,34)(28,37,29,36),
( 1, 3, 4, 5, 2)( 6,10, 8,12)( 7,11, 9,13)(14,18,16,20)(15,19,17,21)
(22,26,24,28)(23,27,25,29)(30,34,32,36)(31,35,33,37),
( 1, 2, 4)( 3, 5)( 6,34)( 7,35)( 8,36)( 9,37)(10,33)(11,32)(12,31)(13,30)
(14,29)(15,28)(16,27)(17,26)(18,22)(19,23)(20,24)(21,25) ],
[ ( 2, 3, 5)( 6,22)( 7,23)( 8,24)( 9,25)(10,27)(11,26)(12,29)(13,28)(14,32)
(15,33)(16,30)(17,31)(18,37)(19,36)(20,35)(21,34),
( 2, 4, 5)( 6,16, 7,17)( 8,14, 9,15)(10,20,11,21)(12,18,13,19)
(22,32,23,33)(24,30,25,31)(26,36,27,37)(28,34,29,35),
( 1, 5, 4, 2, 3)( 6,27, 9,28)( 7,26, 8,29)(10,24,13,23)(11,25,12,22)
(14,37,17,34)(15,36,16,35)(18,30,21,33)(19,31,20,32) ],
[ ( 1, 2)( 3, 4, 5)( 6,24, 8,22)( 7,25, 9,23)(10,29,12,27)(11,28,13,26)
(14,30,16,32)(15,31,17,33)(18,35,20,37)(19,34,21,36),
( 1, 2, 3)( 6,21, 9,18)( 7,20, 8,19)(10,15,13,16)(11,14,12,17)
(22,37,25,34)(23,36,24,35)(26,31,29,32)(27,30,28,33),
( 1, 5, 4, 3)( 6,13, 8,11)( 7,12, 9,10)(14,21,16,19)(15,20,17,18)
(22,29,24,27)(23,28,25,26)(30,37,32,35)(31,36,33,34) ],
[ ( 1, 4, 5)( 2, 3)( 6,15, 7,14)( 8,17, 9,16)(10,19,11,18)(12,21,13,20)
(22,31,23,30)(24,33,25,32)(26,35,27,34)(28,37,29,36),
( 1, 5, 3, 2, 4)( 6,30, 7,31)( 8,32, 9,33)(10,35,11,34)(12,37,13,36)
(14,25,15,24)(16,23,17,22)(18,28,19,29)(20,26,21,27),
( 1, 2, 4)( 6,11, 8,13)( 7,10, 9,12)(14,19,16,21)(15,18,17,20)
(22,27,24,29)(23,26,25,28)(30,35,32,37)(31,34,33,36) ],
[ ( 1, 4, 3, 5, 2)( 6,20, 9,19)( 7,21, 8,18)(10,14,13,17)(11,15,12,16)
(22,36,25,35)(23,37,24,34)(26,30,29,33)(27,31,28,32),
( 4, 5)( 6,35, 8,37)( 7,34, 9,36)(10,32,12,30)(11,33,13,31)(14,28,16,26)
(15,29,17,27)(18,23,20,25)(19,22,21,24),
( 1, 4)( 6,26, 7,27)( 8,28, 9,29)(10,25,11,24)(12,23,13,22)(14,36,15,37)
(16,34,17,35)(18,31,19,30)(20,33,21,32) ],
[ ( 2, 5, 4)( 6,16, 7,17)( 8,14, 9,15)(10,20,11,21)(12,18,13,19)
(22,32,23,33)(24,30,25,31)(26,36,27,37)(28,34,29,35),
( 2, 4)( 3, 5)( 6,30, 7,31)( 8,32, 9,33)(10,35,11,34)(12,37,13,36)
(14,25,15,24)(16,23,17,22)(18,28,19,29)(20,26,21,27),
( 1, 2, 5, 4, 3)( 6,21, 9,18)( 7,20, 8,19)(10,15,13,16)(11,14,12,17)
(22,37,25,34)(23,36,24,35)(26,31,29,32)(27,30,28,33) ],
[ ( 1, 2)( 3, 4, 5)( 6,32, 7,33)( 8,30, 9,31)(10,37,11,36)(12,35,13,34)
(14,25,15,24)(16,23,17,22)(18,28,19,29)(20,26,21,27),
( 1, 4, 3)( 2, 5)( 6,27, 9,28)( 7,26, 8,29)(10,24,13,23)(11,25,12,22)
(14,37,17,34)(15,36,16,35)(18,30,21,33)(19,31,20,32),
( 1, 5, 2, 3, 4)( 6,35, 8,37)( 7,34, 9,36)(10,32,12,30)(11,33,13,31)
(14,26,16,28)(15,27,17,29)(18,25,20,23)(19,24,21,22) ],
[ ( 1, 2, 5)( 3, 4)( 6,22)( 7,23)( 8,24)( 9,25)(10,27)(11,26)(12,29)(13,28)
(14,32)(15,33)(16,30)(17,31)(18,37)(19,36)(20,35)(21,34),
( 1, 5)( 6,35, 8,37)( 7,34, 9,36)(10,32,12,30)(11,33,13,31)(14,26,16,28)
(15,27,17,29)(18,25,20,23)(19,24,21,22),
( 1, 4, 2, 3)( 6,15, 9,16)( 7,14, 8,17)(10,19,13,20)(11,18,12,21)
(22,31,25,32)(23,30,24,33)(26,35,29,36)(27,34,28,37) ],
[ ( 1, 5, 3)( 2, 4)( 6,32, 7,33)( 8,30, 9,31)(10,37,11,36)(12,35,13,34)
(14,25,15,24)(16,23,17,22)(18,28,19,29)(20,26,21,27),
( 1, 3)( 4, 5)( 6,17, 9,14)( 7,16, 8,15)(10,21,13,18)(11,20,12,19)
(22,33,25,30)(23,32,24,31)(26,37,29,34)(27,36,28,35),
( 2, 3, 4)( 6,21, 7,20)( 8,19, 9,18)(10,15,11,14)(12,17,13,16)
(22,37,23,36)(24,35,25,34)(26,31,27,30)(28,33,29,32) ],
[ ( 1, 4, 3)( 6,22)( 7,23)( 8,24)( 9,25)(10,27)(11,26)(12,29)(13,28)(14,32)
(15,33)(16,30)(17,31)(18,37)(19,36)(20,35)(21,34),
( 2, 5, 4)( 6,18, 7,19)( 8,20, 9,21)(10,16,11,17)(12,14,13,15)
(22,34,23,35)(24,36,25,37)(26,32,27,33)(28,30,29,31),
( 1, 4, 2)( 6,33, 7,32)( 8,31, 9,30)(10,36,11,37)(12,34,13,35)
(14,24,15,25)(16,22,17,23)(18,29,19,28)(20,27,21,26) ],
[ ( 1, 4, 2, 5, 3)( 6,20, 9,19)( 7,21, 8,18)(10,17,13,14)(11,16,12,15)
(22,36,25,35)(23,37,24,34)(26,33,29,30)(27,32,28,31),
( 1, 4, 5, 2)( 6,11, 7,10)( 8,13, 9,12)(14,19,15,18)(16,21,17,20)
(22,27,23,26)(24,29,25,28)(30,35,31,34)(32,37,33,36),
( 1, 3)( 2, 4, 5)( 6,22)( 7,23)( 8,24)( 9,25)(10,27)(11,26)(12,29)(13,28)
(14,32)(15,33)(16,30)(17,31)(18,37)(19,36)(20,35)(21,34) ],
[ ( 1, 3, 2)( 4, 5)( 6,22)( 7,23)( 8,24)( 9,25)(10,27)(11,26)(12,29)(13,28)
(14,32)(15,33)(16,30)(17,31)(18,37)(19,36)(20,35)(21,34),
( 1, 5)( 2, 3, 4)( 6,33)( 7,32)( 8,31)( 9,30)(10,36)(11,37)(12,34)(13,35)
(14,25)(15,24)(16,23)(17,22)(18,28)(19,29)(20,26)(21,27),
( 1, 4)( 2, 3)( 6,18, 9,21)( 7,19, 8,20)(10,15,13,16)(11,14,12,17)
(22,34,25,37)(23,35,24,36)(26,31,29,32)(27,30,28,33) ],
[ ( 1, 4, 2)( 6,10, 7,11)( 8,12, 9,13)(14,18,15,19)(16,20,17,21)
(22,26,23,27)(24,28,25,29)(30,34,31,35)(32,36,33,37),
( 1, 3, 4, 5, 2)( 6,17, 8,15)( 7,16, 9,14)(10,21,12,19)(11,20,13,18)
(22,33,24,31)(23,32,25,30)(26,37,28,35)(27,36,29,34),
( 1, 5, 2)( 6,24)( 7,25)( 8,22)( 9,23)(10,29)(11,28)(12,27)(13,26)(14,30)
(15,31)(16,32)(17,33)(18,35)(19,34)(20,37)(21,36) ],
[ ( 1, 5, 4, 3, 2)( 6,15, 8,17)( 7,14, 9,16)(10,19,12,21)(11,18,13,20)
(22,31,24,33)(23,30,25,32)(26,35,28,37)(27,34,29,36),
( 1, 2, 5, 4)( 6,31, 8,33)( 7,30, 9,32)(10,34,12,36)(11,35,13,37)
(14,23,16,25)(15,22,17,24)(18,26,20,28)(19,27,21,29),
( 1, 4, 3)( 6,34, 8,36)( 7,35, 9,37)(10,30,12,32)(11,31,13,33)
(14,26,16,28)(15,27,17,29)(18,22,20,24)(19,23,21,25) ],
[ ( 2, 4)( 6,25, 8,23)( 7,24, 9,22)(10,28,12,26)(11,29,13,27)(14,31,16,33)
(15,30,17,32)(18,34,20,36)(19,35,21,37),
( 1, 3, 2, 5, 4)( 6,33, 8,31)( 7,32, 9,30)(10,36,12,34)(11,37,13,35)
(14,25,16,23)(15,24,17,22)(18,28,20,26)(19,29,21,27),
( 1, 3)( 2, 4, 5)( 6,34, 8,36)( 7,35, 9,37)(10,30,12,32)(11,31,13,33)
(14,26,16,28)(15,27,17,29)(18,22,20,24)(19,23,21,25) ],
[ ( 1, 2, 4, 5, 3)( 6,14, 8,16)( 7,15, 9,17)(10,18,12,20)(11,19,13,21)
(22,30,24,32)(23,31,25,33)(26,34,28,36)(27,35,29,37),
( 1, 3)( 2, 4, 5)( 6,30, 8,32)( 7,31, 9,33)(10,35,12,37)(11,34,13,36)
(14,22,16,24)(15,23,17,25)(18,27,20,29)(19,26,21,28),
( 1, 5, 3)( 2, 4)( 6,35, 8,37)( 7,34, 9,36)(10,31,12,33)(11,30,13,32)
(14,27,16,29)(15,26,17,28)(18,23,20,25)(19,22,21,24) ],
[ ( 6,22, 8,24)( 7,23, 9,25)(10,27,12,29)(11,26,13,28)(14,32,16,30)
(15,33,17,31)(18,37,20,35)(19,36,21,34),
( 2, 3, 5)( 6,37, 8,35)( 7,36, 9,34)(10,33,12,31)(11,32,13,30)
(14,29,16,27)(15,28,17,26)(18,25,20,23)(19,24,21,22),
( 1, 4, 2, 3, 5)( 6,26, 8,28)( 7,27, 9,29)(10,22,12,24)(11,23,13,25)
(14,36,16,34)(15,37,17,35)(18,32,20,30)(19,33,21,31) ],
[ ( 2, 4, 3, 5)( 6,22, 8,24, 7,23, 9,25)(10,26,12,28,11,27,13,29)
(14,30,16,32,15,31,17,33)(18,34,20,36,19,35,21,37),
( 1, 5)( 2, 4)( 6,18)( 7,19)( 8,20)( 9,21)(10,14)(11,15)(12,16)(13,17)
(22,34)(23,35)(24,36)(25,37)(26,30)(27,31)(28,32)(29,33),
( 1, 4, 5, 3, 2)( 6,12, 7,13)( 8,11, 9,10)(14,20,15,21)(16,19,17,18)
(22,28,23,29)(24,27,25,26)(30,36,31,37)(32,35,33,34) ],
[ ( 1, 5, 2, 4)( 6,16, 7,17)( 8,15, 9,14)(10,20,11,21)(12,19,13,18)
(22,32,23,33)(24,31,25,30)(26,36,27,37)(28,35,29,34),
( 1, 3)( 2, 4, 5)( 6,24, 9,22, 7,25, 8,23)(10,28,13,26,11,29,12,27)
(14,32,17,30,15,33,16,31)(18,36,21,34,19,37,20,35),
( 1, 4, 5, 2, 3)( 6,18)( 7,19)( 8,20)( 9,21)(10,14)(11,15)(12,16)(13,17)
(22,34)(23,35)(24,36)(25,37)(26,30)(27,31)(28,32)(29,33) ],
[ ( 1, 4, 3)( 6,22, 8,24, 7,23, 9,25)(10,26,12,28,11,27,13,29)
(14,30,16,32,15,31,17,33)(18,34,20,36,19,35,21,37),
( 1, 5)( 2, 3)( 6,26, 8,28, 7,27, 9,29)(10,22,12,24,11,23,13,25)
(14,34,16,36,15,35,17,37)(18,30,20,32,19,31,21,33),
( 3, 4, 5)( 6,35, 8,37, 7,34, 9,36)(10,31,12,33,11,30,13,32)
(14,27,16,29,15,26,17,28)(18,23,20,25,19,22,21,24) ],
[ ( 1, 5, 2)( 6,18)( 7,19)( 8,20)( 9,21)(10,14)(11,15)(12,16)(13,17)(22,34)
(23,35)(24,36)(25,37)(26,30)(27,31)(28,32)(29,33),
( 1, 2)( 4, 5)( 6,11)( 7,10)( 8,13)( 9,12)(14,19)(15,18)(16,21)(17,20)
(22,27)(23,26)(24,29)(25,28)(30,35)(31,34)(32,37)(33,36),
( 1, 3, 5)( 2, 4)( 6,22, 8,24, 7,23, 9,25)(10,26,12,28,11,27,13,29)
(14,31,16,33,15,30,17,32)(18,35,20,37,19,34,21,36) ],
[ ( 1, 5, 3, 4, 2)( 6,33, 8,30, 7,32, 9,31)(10,37,12,34,11,36,13,35)
(14,24,16,23,15,25,17,22)(18,28,20,27,19,29,21,26),
( 1, 5, 4, 3)( 6,18)( 7,19)( 8,20)( 9,21)(10,14)(11,15)(12,16)(13,17)
(22,34)(23,35)(24,36)(25,37)(26,30)(27,31)(28,32)(29,33),
( 1, 5, 2)( 6,11)( 7,10)( 8,13)( 9,12)(14,19)(15,18)(16,21)(17,20)(22,27)
(23,26)(24,29)(25,28)(30,35)(31,34)(32,37)(33,36) ],
[ ( 1, 4, 5, 2, 3)( 6,33, 8,30, 7,32, 9,31)(10,37,12,34,11,36,13,35)
(14,24,16,23,15,25,17,22)(18,28,20,27,19,29,21,26),
( 1, 4, 5, 3, 2)( 6,20, 7,21)( 8,19, 9,18)(10,16,11,17)(12,15,13,14)
(22,36,23,37)(24,35,25,34)(26,32,27,33)(28,31,29,30),
( 1, 4, 2, 5)( 6,11)( 7,10)( 8,13)( 9,12)(14,19)(15,18)(16,21)(17,20)
(22,27)(23,26)(24,29)(25,28)(30,35)(31,34)(32,37)(33,36) ],
[ ( 1, 4, 2, 5, 3)( 6,10)( 7,11)( 8,12)( 9,13)(14,18)(15,19)(16,20)(17,21)
(22,26)(23,27)(24,28)(25,29)(30,34)(31,35)(32,36)(33,37),
( 1, 2, 3)( 6,30, 9,33, 7,31, 8,32)(10,34,13,37,11,35,12,36)
(14,23,17,24,15,22,16,25)(18,27,21,28,19,26,20,29),
( 1, 3)( 2, 4)( 6,15)( 7,14)( 8,17)( 9,16)(10,19)(11,18)(12,21)(13,20)
(22,31)(23,30)(24,33)(25,32)(26,35)(27,34)(28,37)(29,36) ],
[ ( 1, 3, 5)( 2, 4)( 6,28, 9,26, 7,29, 8,27)(10,24,13,22,11,25,12,23)
(14,36,17,34,15,37,16,35)(18,32,21,30,19,33,20,31),
( 1, 4, 3, 2, 5)( 6,19, 7,18)( 8,21, 9,20)(10,14,11,15)(12,16,13,17)
(22,35,23,34)(24,37,25,36)(26,30,27,31)(28,32,29,33),
( 1, 2, 3)( 4, 5)( 6,23, 8,25, 7,22, 9,24)(10,27,12,29,11,26,13,28)
(14,31,16,33,15,30,17,32)(18,35,20,37,19,34,21,36) ],
[ ( 2, 4, 3, 5)( 6,17, 7,16)( 8,14, 9,15)(10,20,11,21)(12,19,13,18)
(22,33,23,32)(24,30,25,31)(26,36,27,37)(28,35,29,34),
( 2, 4, 5)( 6,36, 8,35, 7,37, 9,34)(10,33,12,30,11,32,13,31)
(14,28,16,27,15,29,17,26)(18,25,20,22,19,24,21,23),
( 1, 3, 4, 5)( 6,12, 7,13)( 8,11, 9,10)(14,20,15,21)(16,19,17,18)
(22,28,23,29)(24,27,25,26)(30,36,31,37)(32,35,33,34) ],
[ ( 1, 4, 3, 2)( 6,36, 8,35, 7,37, 9,34)(10,33,12,30,11,32,13,31)
(14,28,16,27,15,29,17,26)(18,25,20,22,19,24,21,23),
( 2, 4, 5)( 6,30, 8,32, 7,31, 9,33)(10,35,12,37,11,34,13,36)
(14,22,16,24,15,23,17,25)(18,27,20,29,19,26,21,28),
( 1, 5)( 2, 4)( 6,27, 8,29, 7,26, 9,28)(10,23,12,25,11,22,13,24)
(14,35,16,37,15,34,17,36)(18,31,20,33,19,30,21,32) ],
[ ( 1, 2, 4, 3, 5)( 6,23, 8,25, 7,22, 9,24)(10,27,12,29,11,26,13,28)
(14,31,16,33,15,30,17,32)(18,35,20,37,19,34,21,36),
( 1, 5, 2, 3, 4)( 6,26, 8,28, 7,27, 9,29)(10,22,12,24,11,23,13,25)
(14,34,16,36,15,35,17,37)(18,30,20,32,19,31,21,33),
( 1, 4, 3)( 6,16, 7,17)( 8,15, 9,14)(10,21,11,20)(12,18,13,19)
(22,32,23,33)(24,31,25,30)(26,37,27,36)(28,34,29,35) ],
[ ( 1, 5, 3, 2, 4)( 6,18)( 7,19)( 8,21)( 9,20)(10,14)(11,15)(12,17)(13,16)
(22,34)(23,35)(24,37)(25,36)(26,30)(27,31)(28,33)(29,32),
( 2, 4)( 6,28)( 7,29)( 8,26)( 9,27)(10,24)(11,25)(12,22)(13,23)(14,35)
(15,34)(16,36)(17,37)(18,31)(19,30)(20,32)(21,33),
( 1, 5, 2)( 6,16)( 7,17)( 8,14)( 9,15)(10,20)(11,21)(12,18)(13,19)(22,32)
(23,33)(24,30)(25,31)(26,36)(27,37)(28,34)(29,35) ],
[ ( 1, 3, 4, 5)( 6,15)( 7,14)( 8,16)( 9,17)(10,19)(11,18)(12,20)(13,21)
(22,31)(23,30)(24,32)(25,33)(26,35)(27,34)(28,36)(29,37),
( 2, 3)( 6,21)( 7,20)( 8,19)( 9,18)(10,17)(11,16)(12,15)(13,14)(22,37)
(23,36)(24,35)(25,34)(26,33)(27,32)(28,31)(29,30),
( 3, 5, 4)( 6,31, 9,32, 7,30, 8,33)(10,35,13,36,11,34,12,37)
(14,24,17,22,15,25,16,23)(18,28,21,26,19,29,20,27) ],
[ ( 2, 3, 5, 4)( 6,12, 7,13)( 8,11, 9,10)(14,20,15,21)(16,19,17,18)
(22,28,23,29)(24,27,25,26)(30,36,31,37)(32,35,33,34),
( 2, 4)( 6,22)( 7,23)( 8,25)( 9,24)(10,26)(11,27)(12,29)(13,28)(14,32)
(15,33)(16,30)(17,31)(18,36)(19,37)(20,34)(21,35),
( 1, 2, 4, 3, 5)( 6,19)( 7,18)( 8,20)( 9,21)(10,15)(11,14)(12,16)(13,17)
(22,35)(23,34)(24,36)(25,37)(26,31)(27,30)(28,32)(29,33) ],
[ ( 1, 5)( 3, 4)( 6,21)( 7,20)( 8,19)( 9,18)(10,17)(11,16)(12,15)(13,14)
(22,37)(23,36)(24,35)(25,34)(26,33)(27,32)(28,31)(29,30),
( 1, 3, 4, 2, 5)( 6,10)( 7,11)( 8,12)( 9,13)(14,18)(15,19)(16,20)(17,21)
(22,26)(23,27)(24,28)(25,29)(30,34)(31,35)(32,36)(33,37),
( 1, 2)( 3, 5)( 6,35, 9,36, 7,34, 8,37)(10,31,13,32,11,30,12,33)
(14,28,17,26,15,29,16,27)(18,24,21,22,19,25,20,23) ],
[ ( 1, 2)( 3, 5)( 6,12, 7,13)( 8,11, 9,10)(14,20,15,21)(16,19,17,18)
(22,28,23,29)(24,27,25,26)(30,36,31,37)(32,35,33,34),
( 2, 3, 4)( 6,19)( 7,18)( 8,20)( 9,21)(10,15)(11,14)(12,16)(13,17)(22,35)
(23,34)(24,36)(25,37)(26,31)(27,30)(28,32)(29,33),
( 2, 5, 3, 4)( 6,31, 8,33, 7,30, 9,32)(10,35,12,37,11,34,13,36)
(14,24,16,23,15,25,17,22)(18,28,20,27,19,29,21,26) ],
[ ( 1, 5, 4)( 2, 3)( 6,32, 9,30, 7,33, 8,31)(10,36,13,34,11,37,12,35)
(14,22,17,25,15,23,16,24)(18,26,21,29,19,27,20,28),
( 6,22, 7,23)( 8,25, 9,24)(10,26,11,27)(12,29,13,28)(14,32,15,33)
(16,30,17,31)(18,36,19,37)(20,34,21,35),
( 1, 4, 3)( 2, 5)( 6,35, 8,37, 7,34, 9,36)(10,31,12,33,11,30,13,32)
(14,28,16,27,15,29,17,26)(18,24,20,23,19,25,21,22) ],
[ ( 4, 5)( 6,19)( 7,18)( 8,20)( 9,21)(10,15)(11,14)(12,16)(13,17)(22,35)
(23,34)(24,36)(25,37)(26,31)(27,30)(28,32)(29,33),
( 1, 3, 5, 4)( 6,23, 7,22)( 8,24, 9,25)(10,27,11,26)(12,28,13,29)
(14,33,15,32)(16,31,17,30)(18,37,19,36)(20,35,21,34),
( 1, 3, 2, 4, 5)( 6,11)( 7,10)( 8,13)( 9,12)(14,19)(15,18)(16,21)(17,20)
(22,27)(23,26)(24,29)(25,28)(30,35)(31,34)(32,37)(33,36) ],
[ ( 1, 5, 2, 4)( 6,25, 7,24)( 8,23, 9,22)(10,29,11,28)(12,27,13,26)
(14,30,15,31)(16,33,17,32)(18,34,19,35)(20,37,21,36),
( 1, 3, 2, 4)( 6,14)( 7,15)( 8,17)( 9,16)(10,18)(11,19)(12,21)(13,20)
(22,30)(23,31)(24,33)(25,32)(26,34)(27,35)(28,37)(29,36),
( 1, 5, 3, 4)( 6,36, 9,34, 7,37, 8,35)(10,32,13,30,11,33,12,31)
(14,26,17,29,15,27,16,28)(18,22,21,25,19,23,20,24) ],
[ ( 1, 3)( 4, 5)( 6,27, 7,26)( 8,28, 9,29)(10,23,11,22)(12,24,13,25)
(14,37,15,36)(16,35,17,34)(18,33,19,32)(20,31,21,30),
( 1, 5, 3, 4, 2)( 6,25, 7,24)( 8,23, 9,22)(10,29,11,28)(12,27,13,26)
(14,30,15,31)(16,33,17,32)(18,34,19,35)(20,37,21,36),
( 1, 5, 3)( 6,33, 9,31, 7,32, 8,30)(10,37,13,35,11,36,12,34)
(14,23,17,24,15,22,16,25)(18,27,21,28,19,26,20,29) ],
[ ( 1, 3)( 6,34, 9,37, 7,35, 8,36)(10,30,13,33,11,31,12,32)(14,28,17,26,15,
29,16,27)(18,24,21,22,19,25,20,23),
( 1, 2, 4, 5, 3)( 6,15, 7,14)( 8,16, 9,17)(10,19,11,18)(12,20,13,21)
(22,31,23,30)(24,32,25,33)(26,35,27,34)(28,36,29,37),
( 2, 5, 3, 4)( 6,31, 9,32, 7,30, 8,33)(10,35,13,36,11,34,12,37)
(14,25,17,23,15,24,16,22)(18,29,21,27,19,28,20,26) ],
[ ( 1, 4, 5, 3, 2)( 6,12, 7,13)( 8,11, 9,10)(14,20,15,21)(16,19,17,18)
(22,28,23,29)(24,27,25,26)(30,36,31,37)(32,35,33,34),
( 1, 5, 2, 3)( 6,17, 7,16)( 8,15, 9,14)(10,21,11,20)(12,19,13,18)
(22,33,23,32)(24,31,25,30)(26,37,27,36)(28,35,29,34),
( 1, 4, 2)( 3, 5)( 6,25, 7,24)( 8,23, 9,22)(10,29,11,28)(12,27,13,26)
(14,30,15,31)(16,33,17,32)(18,34,19,35)(20,37,21,36) ],
[ ( 1, 4)( 2, 3, 5)( 6,16, 7,17)( 8,14, 9,15)(10,20,11,21)(12,18,13,19)
(22,32,23,33)(24,30,25,31)(26,36,27,37)(28,34,29,35),
( 4, 5)( 6,37, 8,34, 7,36, 9,35)(10,33,12,30,11,32,13,31)(14,26,16,28,15,
27,17,29)(18,22,20,24,19,23,21,25),
( 1, 4, 2)( 6,20, 7,21)( 8,18, 9,19)(10,16,11,17)(12,14,13,15)
(22,36,23,37)(24,34,25,35)(26,32,27,33)(28,30,29,31) ],
[ ( 1, 4, 2)( 6,36, 8,35, 7,37, 9,34)(10,32,12,31,11,33,13,30)
(14,27,16,29,15,26,17,28)(18,23,20,25,19,22,21,24),
( 2, 5, 4)( 6,29, 7,28)( 8,27, 9,26)(10,25,11,24)(12,23,13,22)
(14,34,15,35)(16,37,17,36)(18,30,19,31)(20,33,21,32),
( 2, 4, 3)( 6,22, 7,23)( 8,25, 9,24)(10,26,11,27)(12,29,13,28)
(14,32,15,33)(16,30,17,31)(18,36,19,37)(20,34,21,35) ],
[ ( 1, 4, 2, 5, 3)( 6,12)( 7,13)( 8,11)( 9,10)(14,20)(15,21)(16,19)(17,18)
(22,28)(23,29)(24,27)(25,26)(30,36)(31,37)(32,35)(33,34),
( 2, 5, 3, 4)( 6,33, 8,30, 7,32, 9,31)(10,37,12,34,11,36,13,35)
(14,23,16,25,15,22,17,24)(18,27,20,29,19,26,21,28),
( 3, 5, 4)( 6,14)( 7,15)( 8,17)( 9,16)(10,18)(11,19)(12,21)(13,20)(22,30)
(23,31)(24,33)(25,32)(26,34)(27,35)(28,37)(29,36) ],
[ ( 1, 2, 4)( 3, 5)( 6,22)( 7,23)( 8,25)( 9,24)(10,26)(11,27)(12,29)(13,28)
(14,32)(15,33)(16,30)(17,31)(18,36)(19,37)(20,34)(21,35),
( 1, 2, 3)( 4, 5)( 6,16)( 7,17)( 8,14)( 9,15)(10,20)(11,21)(12,18)(13,19)
(22,32)(23,33)(24,30)(25,31)(26,36)(27,37)(28,34)(29,35),
( 3, 5)( 6,28, 7,29)( 8,26, 9,27)(10,25,11,24)(12,23,13,22)(14,35,15,34)
(16,36,17,37)(18,30,19,31)(20,33,21,32) ],
[ ( 1, 3)( 4, 5)( 6,30, 9,33, 7,31, 8,32)(10,34,13,37,11,35,12,36)
(14,25,17,23,15,24,16,22)(18,29,21,27,19,28,20,26),
( 1, 5, 2)( 6,15)( 7,14)( 8,16)( 9,17)(10,19)(11,18)(12,20)(13,21)(22,31)
(23,30)(24,32)(25,33)(26,35)(27,34)(28,36)(29,37),
( 2, 4, 5, 3)( 6,27, 7,26)( 8,28, 9,29)(10,22,11,23)(12,25,13,24)
(14,37,15,36)(16,35,17,34)(18,32,19,33)(20,30,21,31) ],
[ ( 1, 2, 5, 3, 4)( 6,28, 7,29)( 8,26, 9,27)(10,25,11,24)(12,23,13,22)
(14,35,15,34)(16,36,17,37)(18,30,19,31)(20,33,21,32),
( 1, 3, 5, 2, 4)( 6,37, 9,35, 7,36, 8,34)(10,32,13,30,11,33,12,31)
(14,27,17,28,15,26,16,29)(18,22,21,25,19,23,20,24),
( 1, 2, 3, 4)( 6,11, 7,10)( 8,13, 9,12)(14,19,15,18)(16,21,17,20)
(22,27,23,26)(24,29,25,28)(30,35,31,34)(32,37,33,36) ],
[ ( 1, 2, 3, 5, 4)( 6,18, 7,19)( 8,21, 9,20)(10,15,11,14)(12,16,13,17)
(22,34,23,35)(24,37,25,36)(26,31,27,30)(28,32,29,33),
( 1, 3)( 6,12)( 7,13)( 8,11)( 9,10)(14,20)(15,21)(16,19)(17,18)(22,28)
(23,29)(24,27)(25,26)(30,36)(31,37)(32,35)(33,34),
( 1, 4, 3)( 2, 5)( 6,24)( 7,25)( 8,22)( 9,23)(10,28)(11,29)(12,26)(13,27)
(14,31)(15,30)(16,32)(17,33)(18,35)(19,34)(20,36)(21,37) ],
[ ( 1, 5, 4, 2, 3)( 6,20, 7,21)( 8,18, 9,19)(10,17,11,16)(12,15,13,14)
(22,36,23,37)(24,34,25,35)(26,33,27,32)(28,31,29,30),
( 2, 4, 3)( 6,26, 7,27)( 8,29, 9,28)(10,23,11,22)(12,24,13,25)
(14,36,15,37)(16,34,17,35)(18,33,19,32)(20,31,21,30),
( 1, 4)( 2, 3)( 6,23)( 7,22)( 8,24)( 9,25)(10,27)(11,26)(12,28)(13,29)
(14,33)(15,32)(16,31)(17,30)(18,37)(19,36)(20,35)(21,34) ],
[ ( 1, 2, 3, 5)( 6,37, 9,35, 7,36, 8,34)(10,32,13,30,11,33,12,31)
(14,27,17,28,15,26,16,29)(18,22,21,25,19,23,20,24),
( 1, 3, 4)( 6,20)( 7,21)( 8,18)( 9,19)(10,16)(11,17)(12,14)(13,15)(22,36)
(23,37)(24,34)(25,35)(26,32)(27,33)(28,30)(29,31),
( 1, 5)( 2, 4, 3)( 6,28, 7,29)( 8,26, 9,27)(10,25,11,24)(12,23,13,22)
(14,35,15,34)(16,36,17,37)(18,30,19,31)(20,33,21,32) ],
[ ( 1, 2, 4)( 6,11)( 7,10)( 8,13)( 9,12)(14,19)(15,18)(16,21)(17,20)(22,27)
(23,26)(24,29)(25,28)(30,35)(31,34)(32,37)(33,36),
( 1, 4)( 2, 5, 3)( 6,31, 9,32, 7,30, 8,33)(10,34,13,37,11,35,12,36)
(14,24,17,22,15,25,16,23)(18,29,21,27,19,28,20,26),
( 1, 5, 4)( 6,24)( 7,25)( 8,22)( 9,23)(10,29)(11,28)(12,27)(13,26)(14,31)
(15,30)(16,32)(17,33)(18,34)(19,35)(20,37)(21,36) ],
[ ( 3, 4)( 6,21)( 7,20)( 8,19)( 9,18)(10,17)(11,16)(12,15)(13,14)(22,37)
(23,36)(24,35)(25,34)(26,33)(27,32)(28,31)(29,30),
( 1, 2, 4, 5)( 6,15)( 7,14)( 8,16)( 9,17)(10,19)(11,18)(12,20)(13,21)
(22,31)(23,30)(24,32)(25,33)(26,35)(27,34)(28,36)(29,37),
( 2, 4, 5, 3)( 6,29, 7,28)( 8,27, 9,26)(10,24,11,25)(12,22,13,23)
(14,34,15,35)(16,37,17,36)(18,31,19,30)(20,32,21,33) ],
[ ( 1, 5, 4)( 2, 3)( 6,26, 7,27)( 8,29, 9,28)(10,23,11,22)(12,24,13,25)
(14,36,15,37)(16,34,17,35)(18,33,19,32)(20,31,21,30),
( 2, 4, 5, 3)( 6,14)( 7,15)( 8,17)( 9,16)(10,18)(11,19)(12,21)(13,20)
(22,30)(23,31)(24,33)(25,32)(26,34)(27,35)(28,37)(29,36),
( 4, 5)( 6,10)( 7,11)( 8,12)( 9,13)(14,18)(15,19)(16,20)(17,21)(22,26)
(23,27)(24,28)(25,29)(30,34)(31,35)(32,36)(33,37) ],
[ ( 1, 5, 2)( 6,28, 7,29)( 8,26, 9,27)(10,25,11,24)(12,23,13,22)
(14,35,15,34)(16,36,17,37)(18,30,19,31)(20,33,21,32),
( 1, 3, 4, 2)( 6,12, 7,13)( 8,11, 9,10)(14,20,15,21)(16,19,17,18)
(22,28,23,29)(24,27,25,26)(30,36,31,37)(32,35,33,34),
( 1, 3, 5)( 6,32, 8,31, 7,33, 9,30)(10,37,12,34,11,36,13,35)
(14,22,16,24,15,23,17,25)(18,27,20,29,19,26,21,28) ],
[ ( 1, 3, 2)( 6,29, 7,28)( 8,27, 9,26)(10,24,11,25)(12,22,13,23)
(14,34,15,35)(16,37,17,36)(18,31,19,30)(20,32,21,33),
( 1, 4, 3, 5, 2)( 6,16)( 7,17)( 8,14)( 9,15)(10,20)(11,21)(12,18)(13,19)
(22,32)(23,33)(24,30)(25,31)(26,36)(27,37)(28,34)(29,35),
( 1, 5)( 3, 4)( 6,31, 9,32, 7,30, 8,33)(10,34,13,37,11,35,12,36)
(14,24,17,22,15,25,16,23)(18,29,21,27,19,28,20,26) ],
[ ( 1, 5, 3, 4, 2)( 6,14, 7,15)( 8,17, 9,16)(10,18,11,19)(12,21,13,20)
(22,30,23,31)(24,33,25,32)(26,34,27,35)(28,37,29,36),
( 1, 2, 5)( 3, 4)( 6,33, 9,31, 7,32, 8,30)(10,36,13,34,11,37,12,35)
(14,22,17,25,15,23,16,24)(18,27,21,28,19,26,20,29),
( 1, 4, 5)( 6,11)( 7,10)( 8,13)( 9,12)(14,19)(15,18)(16,21)(17,20)(22,27)
(23,26)(24,29)(25,28)(30,35)(31,34)(32,37)(33,36) ],
[ ( 3, 4, 5)( 6,25)( 7,24)( 8,23)( 9,22)(10,28)(11,29)(12,26)(13,27)(14,30)
(15,31)(16,33)(17,32)(18,35)(19,34)(20,36)(21,37),
( 1, 3, 2, 5, 4)( 6,29, 7,28)( 8,27, 9,26)(10,24,11,25)(12,22,13,23)
(14,34,15,35)(16,37,17,36)(18,31,19,30)(20,32,21,33),
( 1, 3)( 2, 5, 4)( 6,36, 8,35, 7,37, 9,34)(10,33,12,30,11,32,13,31)
(14,27,16,29,15,26,17,28)(18,22,20,24,19,23,21,25) ],
[ ( 1, 4, 3, 2)( 6,24)( 7,25)( 8,22)( 9,23)(10,29)(11,28)(12,27)(13,26)
(14,31)(15,30)(16,32)(17,33)(18,34)(19,35)(20,37)(21,36),
( 1, 2, 4, 5, 3)( 6,13, 7,12)( 8,10, 9,11)(14,21,15,20)(16,18,17,19)
(22,29,23,28)(24,26,25,27)(30,37,31,36)(32,34,33,35),
( 1, 2, 5)( 6,36, 8,35, 7,37, 9,34)(10,33,12,30,11,32,13,31)
(14,27,16,29,15,26,17,28)(18,22,20,24,19,23,21,25) ],
[ ( 1, 3, 5, 2)( 6,27, 7,26)( 8,28, 9,29)(10,22,11,23)(12,25,13,24)
(14,37,15,36)(16,35,17,34)(18,32,19,33)(20,30,21,31),
( 1, 3, 5, 2, 4)( 6,35, 9,36, 7,34, 8,37)(10,30,13,33,11,31,12,32)
(14,29,17,27,15,28,16,26)(18,24,21,22,19,25,20,23),
( 1, 5)( 2, 4)( 6,25)( 7,24)( 8,23)( 9,22)(10,28)(11,29)(12,26)(13,27)
(14,30)(15,31)(16,33)(17,32)(18,35)(19,34)(20,36)(21,37) ],
[ ( 1, 2)( 3, 5, 4)( 6,15, 7,14)( 8,16, 9,17)(10,19,11,18)(12,20,13,21)
(22,31,23,30)(24,32,25,33)(26,35,27,34)(28,36,29,37),
( 2, 5, 4, 3)( 6,10)( 7,11)( 8,12)( 9,13)(14,18)(15,19)(16,20)(17,21)
(22,26)(23,27)(24,28)(25,29)(30,34)(31,35)(32,36)(33,37),
( 1, 4, 5, 2, 3)( 6,26, 7,27)( 8,29, 9,28)(10,23,11,22)(12,24,13,25)
(14,36,15,37)(16,34,17,35)(18,33,19,32)(20,31,21,30) ],
[ ( 1, 3, 4)( 6,28, 7,29)( 8,26, 9,27)(10,25,11,24)(12,23,13,22)
(14,35,15,34)(16,36,17,37)(18,30,19,31)(20,33,21,32),
( 3, 5, 4)( 6,35, 9,36, 7,34, 8,37)(10,30,13,33,11,31,12,32)
(14,29,17,27,15,28,16,26)(18,24,21,22,19,25,20,23),
( 2, 5)( 3, 4)( 6,12, 7,13)( 8,11, 9,10)(14,20,15,21)(16,19,17,18)
(22,28,23,29)(24,27,25,26)(30,36,31,37)(32,35,33,34) ],
[ ( 2, 3)( 4, 5)( 6,12)( 7,13)( 8,10)( 9,11)(14,20)(15,21)(16,18)(17,19)
(22,28)(23,29)(24,26)(25,27)(30,36)(31,37)(32,34)(33,35),
( 2, 4, 5, 3)( 6,35, 7,34)( 8,37, 9,36)(10,31,11,30)(12,33,13,32)
(14,27,15,26)(16,29,17,28)(18,23,19,22)(20,25,21,24),
( 1, 4, 2, 5, 3)( 6,10)( 7,11)( 8,12)( 9,13)(14,18)(15,19)(16,20)(17,21)
(22,26)(23,27)(24,28)(25,29)(30,34)(31,35)(32,36)(33,37),
( 1, 4)( 3, 5)( 6,20)( 7,21)( 8,18)( 9,19)(10,16)(11,17)(12,14)(13,15)
(22,36)(23,37)(24,34)(25,35)(26,32)(27,33)(28,30)(29,31) ],
[ ( 1, 4, 2, 5, 3)( 6,18)( 7,19)( 8,20)( 9,21)(10,14)(11,15)(12,16)(13,17)
(22,34)(23,35)(24,36)(25,37)(26,30)(27,31)(28,32)(29,33),
( 1, 2)( 3, 5, 4)( 6,34, 7,35)( 8,36, 9,37)(10,30,11,31)(12,32,13,33)
(14,26,15,27)(16,28,17,29)(18,22,19,23)(20,24,21,25),
( 1, 4)( 2, 5, 3)( 6,29, 7,28)( 8,27, 9,26)(10,25,11,24)(12,23,13,22)
(14,37,15,36)(16,35,17,34)(18,33,19,32)(20,31,21,30),
( 1, 4, 2)( 3, 5)( 6,10)( 7,11)( 8,12)( 9,13)(14,18)(15,19)(16,20)(17,21)
(22,26)(23,27)(24,28)(25,29)(30,34)(31,35)(32,36)(33,37) ],
[ ( 1, 4, 5, 3, 2)( 6,36, 7,37)( 8,34, 9,35)(10,32,11,33)(12,30,13,31)
(14,28,15,29)(16,26,17,27)(18,24,19,25)(20,22,21,23),
( 1, 5)( 2, 4)( 6,32, 7,33)( 8,30, 9,31)(10,36,11,37)(12,34,13,35)
(14,24,15,25)(16,22,17,23)(18,28,19,29)(20,26,21,27),
( 1, 3, 4, 5, 2)( 6,19)( 7,18)( 8,21)( 9,20)(10,15)(11,14)(12,17)(13,16)
(22,35)(23,34)(24,37)(25,36)(26,31)(27,30)(28,33)(29,32),
( 1, 3, 2, 4, 5)( 6,21)( 7,20)( 8,19)( 9,18)(10,17)(11,16)(12,15)(13,14)
(22,37)(23,36)(24,35)(25,34)(26,33)(27,32)(28,31)(29,30) ],
[ ( 1, 2)( 3, 5, 4)( 6,24)( 7,25)( 8,22)( 9,23)(10,28)(11,29)(12,26)(13,27)
(14,33)(15,32)(16,31)(17,30)(18,37)(19,36)(20,35)(21,34),
( 1, 4)( 2, 5)( 6,14)( 7,15)( 8,16)( 9,17)(10,18)(11,19)(12,20)(13,21)
(22,30)(23,31)(24,32)(25,33)(26,34)(27,35)(28,36)(29,37),
( 1, 3, 4, 2, 5)( 6,10)( 7,11)( 8,12)( 9,13)(14,18)(15,19)(16,20)(17,21)
(22,26)(23,27)(24,28)(25,29)(30,34)(31,35)(32,36)(33,37),
( 1, 2, 4, 3)( 6,35, 7,34)( 8,37, 9,36)(10,31,11,30)(12,33,13,32)
(14,26,15,27)(16,28,17,29)(18,22,19,23)(20,24,21,25) ],
[ ( 3, 4)( 6,26)( 7,27)( 8,28)( 9,29)(10,22)(11,23)(12,24)(13,25)(14,35)
(15,34)(16,37)(17,36)(18,31)(19,30)(20,33)(21,32),
( 1, 5, 3, 2, 4)( 6,13)( 7,12)( 8,11)( 9,10)(14,21)(15,20)(16,19)(17,18)
(22,29)(23,28)(24,27)(25,26)(30,37)(31,36)(32,35)(33,34),
( 1, 4, 2, 5, 3)( 6,30, 7,31)( 8,32, 9,33)(10,34,11,35)(12,36,13,37)
(14,23,15,22)(16,25,17,24)(18,27,19,26)(20,29,21,28),
( 2, 4, 5, 3)( 6,22)( 7,23)( 8,24)( 9,25)(10,26)(11,27)(12,28)(13,29)
(14,31)(15,30)(16,33)(17,32)(18,35)(19,34)(20,37)(21,36) ],
[ ( 1, 2)( 3, 4, 5)( 6,33, 7,32)( 8,31, 9,30)(10,37,11,36)(12,35,13,34)
(14,24,15,25)(16,22,17,23)(18,28,19,29)(20,26,21,27),
( 2, 5, 4, 3)( 6,21)( 7,20)( 8,19)( 9,18)(10,17)(11,16)(12,15)(13,14)
(22,37)(23,36)(24,35)(25,34)(26,33)(27,32)(28,31)(29,30),
( 1, 5)( 2, 4)( 6,25)( 7,24)( 8,23)( 9,22)(10,29)(11,28)(12,27)(13,26)
(14,32)(15,33)(16,30)(17,31)(18,36)(19,37)(20,34)(21,35),
( 1, 3, 5, 4, 2)( 6,16)( 7,17)( 8,14)( 9,15)(10,20)(11,21)(12,18)(13,19)
(22,32)(23,33)(24,30)(25,31)(26,36)(27,37)(28,34)(29,35) ],
[ ( 3, 4, 5)( 6,27)( 7,26)( 8,29)( 9,28)(10,23)(11,22)(12,25)(13,24)(14,34)
(15,35)(16,36)(17,37)(18,30)(19,31)(20,32)(21,33),
( 1, 3, 4, 5, 2)( 6,21)( 7,20)( 8,19)( 9,18)(10,17)(11,16)(12,15)(13,14)
(22,37)(23,36)(24,35)(25,34)(26,33)(27,32)(28,31)(29,30),
( 1, 5)( 3, 4)( 6,25)( 7,24)( 8,23)( 9,22)(10,29)(11,28)(12,27)(13,26)
(14,32)(15,33)(16,30)(17,31)(18,36)(19,37)(20,34)(21,35),
( 1, 3, 5)( 6,19)( 7,18)( 8,21)( 9,20)(10,15)(11,14)(12,17)(13,16)(22,35)
(23,34)(24,37)(25,36)(26,31)(27,30)(28,33)(29,32) ],
[ ( 2, 3)( 4, 5)( 6,32, 7,33)( 8,30, 9,31)(10,36,11,37)(12,34,13,35)
(14,24,15,25)(16,22,17,23)(18,28,19,29)(20,26,21,27),
( 1, 5, 2, 3, 4)( 6,31, 7,30)( 8,33, 9,32)(10,35,11,34)(12,37,13,36)
(14,23,15,22)(16,25,17,24)(18,27,19,26)(20,29,21,28),
( 3, 5)( 6,21, 7,20)( 8,19, 9,18)(10,17,11,16)(12,15,13,14)(22,37,23,36)
(24,35,25,34)(26,33,27,32)(28,31,29,30),
( 1, 2, 3, 4)( 6,25, 7,24)( 8,23, 9,22)(10,29,11,28)(12,27,13,26)
(14,32,15,33)(16,30,17,31)(18,36,19,37)(20,34,21,35) ],
[ ( 1, 5, 3, 4, 2)( 6,17, 7,16)( 8,15, 9,14)(10,21,11,20)(12,19,13,18)
(22,33,23,32)(24,31,25,30)(26,37,27,36)(28,35,29,34),
( 1, 4, 5)( 6,27, 7,26)( 8,29, 9,28)(10,23,11,22)(12,25,13,24)
(14,34,15,35)(16,36,17,37)(18,30,19,31)(20,32,21,33),
( 1, 3)( 2, 5, 4)( 6,20, 7,21)( 8,18, 9,19)(10,16,11,17)(12,14,13,15)
(22,36,23,37)(24,34,25,35)(26,32,27,33)(28,30,29,31),
( 1, 3, 2)( 6,13)( 7,12)( 8,11)( 9,10)(14,21)(15,20)(16,19)(17,18)(22,29)
(23,28)(24,27)(25,26)(30,37)(31,36)(32,35)(33,34) ],
[ ( 1, 2)( 3, 5)( 6,23, 7,22)( 8,25, 9,24)(10,27,11,26)(12,29,13,28)
(14,30,15,31)(16,32,17,33)(18,34,19,35)(20,36,21,37),
( 1, 4)( 3, 5)( 6, 8)( 7, 9)(10,12)(11,13)(14,16)(15,17)(18,20)(19,21)
(22,24)(23,25)(26,28)(27,29)(30,32)(31,33)(34,36)(35,37),
( 1, 3, 2)( 6,17, 7,16)( 8,15, 9,14)(10,21,11,20)(12,19,13,18)
(22,33,23,32)(24,31,25,30)(26,37,27,36)(28,35,29,34),
( 1, 3, 2, 5, 4)( 6,13)( 7,12)( 8,11)( 9,10)(14,21)(15,20)(16,19)(17,18)
(22,29)(23,28)(24,27)(25,26)(30,37)(31,36)(32,35)(33,34) ],
[ ( 3, 4)( 6,17)( 7,16)( 8,15)( 9,14)(10,21)(11,20)(12,19)(13,18)(22,33)
(23,32)(24,31)(25,30)(26,37)(27,36)(28,35)(29,34),
( 2, 5, 3, 4)( 6,29, 7,28)( 8,27, 9,26)(10,24,11,25)(12,22,13,23)
(14,36,15,37)(16,34,17,35)(18,33,19,32)(20,31,21,30),
( 1, 2, 3, 5)( 6,24)( 7,25)( 8,22)( 9,23)(10,28)(11,29)(12,26)(13,27)
(14,33)(15,32)(16,31)(17,30)(18,37)(19,36)(20,35)(21,34),
( 1, 2, 3)( 4, 5)( 6,19, 7,18)( 8,21, 9,20)(10,14,11,15)(12,16,13,17)
(22,35,23,34)(24,37,25,36)(26,30,27,31)(28,32,29,33) ],
[ ( 1, 2)( 6,12, 7,13)( 8,10, 9,11)(14,20,15,21)(16,18,17,19)(22,28,23,29)
(24,26,25,27)(30,36,31,37)(32,34,33,35),
( 1, 5, 2)( 6,27, 7,26)( 8,29, 9,28)(10,22,11,23)(12,24,13,25)
(14,34,15,35)(16,36,17,37)(18,31,19,30)(20,33,21,32),
( 1, 3, 4)( 2, 5)( 6,22)( 7,23)( 8,24)( 9,25)(10,26)(11,27)(12,28)(13,29)
(14,31)(15,30)(16,33)(17,32)(18,35)(19,34)(20,37)(21,36),
( 1, 5)( 6,30, 7,31)( 8,32, 9,33)(10,34,11,35)(12,36,13,37)(14,23,15,22)
(16,25,17,24)(18,27,19,26)(20,29,21,28) ],
[ ( 1, 5)( 2, 4, 3)( 6,25)( 7,24)( 8,23)( 9,22)(10,29)(11,28)(12,27)(13,26)
(14,32)(15,33)(16,30)(17,31)(18,36)(19,37)(20,34)(21,35),
( 1, 4)( 2, 5)( 6,32, 7,33)( 8,30, 9,31)(10,36,11,37)(12,34,13,35)
(14,25,15,24)(16,23,17,22)(18,29,19,28)(20,27,21,26),
( 1, 3, 5)( 2, 4)( 6,17)( 7,16)( 8,15)( 9,14)(10,21)(11,20)(12,19)(13,18)
(22,33)(23,32)(24,31)(25,30)(26,37)(27,36)(28,35)(29,34),
( 1, 2, 4, 3, 5)( 6,28, 7,29)( 8,26, 9,27)(10,25,11,24)(12,23,13,22)
(14,37,15,36)(16,35,17,34)(18,32,19,33)(20,30,21,31) ],
[ ( 2, 5)( 3, 4)( 6,36)( 7,37)( 8,34)( 9,35)(10,33)(11,32)(12,31)(13,30)
(14,29)(15,28)(16,27)(17,26)(18,24)(19,25)(20,22)(21,23),
( 1, 3)( 2, 5)( 6,25)( 7,24)( 8,23)( 9,22)(10,29)(11,28)(12,27)(13,26)
(14,32)(15,33)(16,30)(17,31)(18,36)(19,37)(20,34)(21,35),
( 1, 5, 4, 2)( 6,23)( 7,22)( 8,25)( 9,24)(10,27)(11,26)(12,29)(13,28)
(14,30)(15,31)(16,32)(17,33)(18,34)(19,35)(20,36)(21,37),
( 1, 3, 2)( 4, 5)( 6,29, 7,28)( 8,27, 9,26)(10,24,11,25)(12,22,13,23)
(14,36,15,37)(16,34,17,35)(18,33,19,32)(20,31,21,30) ],
[ ( 1, 4, 2, 3, 5)( 6,11, 7,10)( 8,13, 9,12)(14,19,15,18)(16,21,17,20)
(22,27,23,26)(24,29,25,28)(30,35,31,34)(32,37,33,36),
( 1, 3, 5)( 6,32, 7,33)( 8,30, 9,31)(10,36,11,37)(12,34,13,35)
(14,25,15,24)(16,23,17,22)(18,29,19,28)(20,27,21,26),
( 1, 2, 5, 4, 3)( 6,34)( 7,35)( 8,36)( 9,37)(10,31)(11,30)(12,33)(13,32)
(14,27)(15,26)(16,29)(17,28)(18,22)(19,23)(20,24)(21,25),
( 1, 5)( 3, 4)( 6,19, 7,18)( 8,21, 9,20)(10,14,11,15)(12,16,13,17)
(22,35,23,34)(24,37,25,36)(26,30,27,31)(28,32,29,33) ],
[ ( 3, 4, 5)( 6,37, 7,36)( 8,34, 9,35)(10,32,11,33)(12,31,13,30)
(14,28,15,29)(16,27,17,26)(18,25,19,24)(20,22,21,23),
( 1, 4)( 6,14)( 7,15)( 8,16)( 9,17)(10,19)(11,18)(12,21)(13,20)(22,30)
(23,31)(24,32)(25,33)(26,35)(27,34)(28,37)(29,36),
( 1, 3, 5)( 2, 4)( 6,23)( 7,22)( 8,24)( 9,25)(10,27)(11,26)(12,28)(13,29)
(14,30)(15,31)(16,33)(17,32)(18,34)(19,35)(20,37)(21,36),
( 1, 2, 3, 4, 5)( 6,34)( 7,35)( 8,37)( 9,36)(10,31)(11,30)(12,32)(13,33)
(14,27)(15,26)(16,28)(17,29)(18,22)(19,23)(20,25)(21,24) ],
[ ( 4, 5)( 6,29, 7,28)( 8,26, 9,27)(10,25,11,24)(12,22,13,23)(14,36,15,37)
(16,35,17,34)(18,32,19,33)(20,31,21,30),
( 1, 5, 3, 2)( 6, 8)( 7, 9)(10,12)(11,13)(14,16)(15,17)(18,20)(19,21)
(22,24)(23,25)(26,28)(27,29)(30,32)(31,33)(34,36)(35,37),
( 1, 5)( 2, 3)( 6,16)( 7,17)( 8,14)( 9,15)(10,21)(11,20)(12,19)(13,18)
(22,32)(23,33)(24,30)(25,31)(26,37)(27,36)(28,35)(29,34),
( 1, 4)( 2, 5)( 6,12)( 7,13)( 8,10)( 9,11)(14,20)(15,21)(16,18)(17,19)
(22,28)(23,29)(24,26)(25,27)(30,36)(31,37)(32,34)(33,35) ],
[ ( 1, 3, 4, 2, 5)( 6,17)( 7,16)( 8,15)( 9,14)(10,20)(11,21)(12,18)(13,19)
(22,33)(23,32)(24,31)(25,30)(26,36)(27,37)(28,34)(29,35),
( 1, 3, 2, 5, 4)( 6,26)( 7,27)( 8,29)( 9,28)(10,22)(11,23)(12,25)(13,24)
(14,35)(15,34)(16,36)(17,37)(18,31)(19,30)(20,32)(21,33),
( 1, 3, 2)( 6,11)( 7,10)( 8,13)( 9,12)(14,19)(15,18)(16,21)(17,20)(22,27)
(23,26)(24,29)(25,28)(30,35)(31,34)(32,37)(33,36),
( 1, 3, 4, 5, 2)( 6,34)( 7,35)( 8,37)( 9,36)(10,31)(11,30)(12,32)(13,33)
(14,27)(15,26)(16,28)(17,29)(18,22)(19,23)(20,25)(21,24) ],
[ ( 1, 3, 5, 4)( 6,11, 7,10)( 8,13, 9,12)(14,19,15,18)(16,21,17,20)
(22,27,23,26)(24,29,25,28)(30,35,31,34)(32,37,33,36),
( 1, 5, 3)( 2, 4)( 6,20, 7,21)( 8,18, 9,19)(10,16,11,17)(12,14,13,15)
(22,36,23,37)(24,34,25,35)(26,32,27,33)(28,30,29,31),
( 1, 4, 2)( 6,31)( 7,30)( 8,32)( 9,33)(10,34)(11,35)(12,37)(13,36)(14,23)
(15,22)(16,24)(17,25)(18,26)(19,27)(20,29)(21,28),
( 1, 2)( 6,15, 7,14)( 8,17, 9,16)(10,18,11,19)(12,20,13,21)(22,31,23,30)
(24,33,25,32)(26,34,27,35)(28,36,29,37) ],
[ ( 1, 5, 4, 3)( 6,17, 7,16)( 8,15, 9,14)(10,20,11,21)(12,18,13,19)
(22,33,23,32)(24,31,25,30)(26,36,27,37)(28,34,29,35),
( 1, 5, 3, 4)( 6,15, 7,14)( 8,17, 9,16)(10,18,11,19)(12,20,13,21)
(22,31,23,30)(24,33,25,32)(26,34,27,35)(28,36,29,37),
( 1, 2, 5, 4, 3)( 6,30)( 7,31)( 8,33)( 9,32)(10,35)(11,34)(12,36)(13,37)
(14,22)(15,23)(16,25)(17,24)(18,27)(19,26)(20,28)(21,29),
( 2, 5, 3)( 6,20, 7,21)( 8,18, 9,19)(10,16,11,17)(12,14,13,15)
(22,36,23,37)(24,34,25,35)(26,32,27,33)(28,30,29,31) ],
[ ( 1, 3, 2, 5, 4)( 6,30)( 7,31)( 8,33)( 9,32)(10,35)(11,34)(12,36)(13,37)
(14,22)(15,23)(16,25)(17,24)(18,27)(19,26)(20,28)(21,29),
( 1, 2, 5)( 6,14, 7,15)( 8,16, 9,17)(10,19,11,18)(12,21,13,20)
(22,30,23,31)(24,32,25,33)(26,35,27,34)(28,37,29,36),
( 1, 3, 5)( 6,19, 7,18)( 8,21, 9,20)(10,15,11,14)(12,17,13,16)
(22,35,23,34)(24,37,25,36)(26,31,27,30)(28,33,29,32),
( 1, 2, 4, 5, 3)( 6,25, 7,24)( 8,22, 9,23)(10,29,11,28)(12,26,13,27)
(14,32,15,33)(16,31,17,30)(18,36,19,37)(20,35,21,34) ],
[ ( 1, 5, 4)( 2, 3)( 6,17)( 7,16)( 8,15)( 9,14)(10,21)(11,20)(12,19)(13,18)
(22,33)(23,32)(24,31)(25,30)(26,37)(27,36)(28,35)(29,34),
( 1, 3)( 6, 8)( 7, 9)(10,12)(11,13)(14,16)(15,17)(18,20)(19,21)(22,24)
(23,25)(26,28)(27,29)(30,32)(31,33)(34,36)(35,37),
( 2, 3, 4, 5)( 6,37)( 7,36)( 8,35)( 9,34)(10,33)(11,32)(12,31)(13,30)
(14,29)(15,28)(16,27)(17,26)(18,25)(19,24)(20,23)(21,22),
( 1, 4, 2)( 3, 5)( 6,25)( 7,24)( 8,23)( 9,22)(10,29)(11,28)(12,27)(13,26)
(14,33)(15,32)(16,31)(17,30)(18,37)(19,36)(20,35)(21,34),
( 1, 3, 5)( 6,24)( 7,25)( 8,22)( 9,23)(10,28)(11,29)(12,26)(13,27)(14,32)
(15,33)(16,30)(17,31)(18,36)(19,37)(20,34)(21,35) ],
[ ( 1, 2, 4)( 6,25)( 7,24)( 8,23)( 9,22)(10,29)(11,28)(12,27)(13,26)(14,33)
(15,32)(16,31)(17,30)(18,37)(19,36)(20,35)(21,34),
( 1, 5, 4, 3, 2)( 6,32)( 7,33)( 8,30)( 9,31)(10,36)(11,37)(12,34)(13,35)
(14,24)(15,25)(16,22)(17,23)(18,28)(19,29)(20,26)(21,27),
( 1, 5, 4, 3, 2)( 6,19)( 7,18)( 8,21)( 9,20)(10,15)(11,14)(12,17)(13,16)
(22,35)(23,34)(24,37)(25,36)(26,31)(27,30)(28,33)(29,32),
( 1, 5)( 2, 4)( 6,28)( 7,29)( 8,26)( 9,27)(10,24)(11,25)(12,22)(13,23)
(14,36)(15,37)(16,34)(17,35)(18,32)(19,33)(20,30)(21,31),
( 1, 2, 5, 4, 3)( 6,35)( 7,34)( 8,37)( 9,36)(10,31)(11,30)(12,33)(13,32)
(14,27)(15,26)(16,29)(17,28)(18,23)(19,22)(20,25)(21,24) ],
[ ( 1,15,21, 4,14,16)( 2,12,19, 8,17,18)( 3,10,23, 9,11,22)( 5,13,20, 6, 7,
24)(25,31,28,29,26,32,27,30)(33,45,35,36,39,41)(34,43,37,40,42,38)
(44,56,48,49,52,53)(46,55,50,47,54,51)(57,63,60,61,58,64,59,62),
( 1,52,21,34,23,42, 4,56,16,40,22,43)( 2,54,19,36,20,45, 8,55,18,33,24,39
)( 3,35,11,49,17,53, 9,41,10,44,12,48)( 5,37, 7,47,15,51, 6,38,13,46,
14,50)(25,61,31,58,28,64,29,59,26,62,32,57,27,63,30,60) ],
[ ( 1,111, 44,190, 32,125, 46,113, 3,173, 62,129, 49,184, 66,177, 11,105,
19,133, 68,172, 61,108, 23,163, 36,176, 10,182, 18,109, 38,146, 31,
128, 22,170, 43,149, 2,158, 4,112, 45,192, 60,107, 7,140, 15,175,
63,157, 75, 99, 17,189, 30,106, 21,162, 88,148, 34,127, 48,164, 37,
188, 29, 98, 6,132, 67,147, 33,156, 47,134, 13,174, 9,159, 5,139,
74,120, 12,126, 20,141, 16,187, 86,130)( 8,165, 50,153, 65,171, 82,
131, 53,180, 69,117, 85,186, 96,123, 35,144, 55,137, 79,179, 90,102,
59,168, 93,122, 41,143, 54,110, 52,152, 72,101, 58,183, 92,104, 14,
116, 25,166, 51,178, 87, 97, 28,160, 78,181, 70,142, 95,135, 24,151,
64,145, 57,167, 91,155, 39,115, 84,169, 94,150, 71,119, 27,136, 77,
154, 73,114, 83,138, 81,121, 40,118, 26,185, 76,124, 42,100, 56,161,
80,191, 89,103), ( 1,154, 76,160, 21,104, 78,186, 23,153, 96,136,
5,155, 77,183, 7,122, 92,165, 49,124, 50,167, 6,181, 91,168, 22,
123, 93,185)( 2,175, 66,115, 32,177, 67,143, 34,147, 43,100, 10,149,
44,142, 12,190, 88,144, 63,148, 36,114, 11,176, 74,116, 33,120, 15,
171)( 3,145, 86,173, 37,102, 30,188, 38,118, 61,146, 16, 97, 9,187,
17,117, 60,189, 68,119, 62,172, 13,101, 29,174, 45,103, 31,192)
( 4,179, 52,161, 46,121, 80,135, 48,178, 24,137, 18,180, 79,138, 20,
150, 81,166, 75,152, 51,131, 19,191, 53,169, 47,151, 94,110)
( 8,164, 83,140, 57,109, 25,184, 59,141, 82,132, 26, 99, 84,170, 28,
133, 54,111, 85,134, 56,162, 27,112, 95,163, 58,113, 55,139)
( 14,159, 71,105, 65,107, 72,156, 39,129, 89,158, 41, 98, 64,125, 42,
128, 90,127, 70,130, 40,182, 35,106, 87,126, 73,108, 69,157) ],
[ ( 1,20,16, 9,11, 4,24,21, 3,10)( 2,22,18, 6, 7, 8,23,19, 5,13)(12,17)
(14,15)(25,29,27,31,26,30,28,32)(33,52,48,41,43,36,56,53,35,42)
(34,54,50,38,39,40,55,51,37,45)(44,49)(46,47)(57,61,59,63,58,62,60,64),
( 1,49,10,36,12,43)( 2,47,13,40,14,39)( 3,51,24,41,18,52)( 4,44,11,33,17,
42)( 5,48,23,38,21,54)( 6,53,22,37,16,55)( 7,34,15,45, 8,46)
( 9,50,20,35,19,56)(25,62,31,57,28,63,29,60,26,61,32,58,27,64,30,59) ],
[ ( 1, 8, 2, 17, 39, 7, 28, 12, 3, 35)( 4, 25, 9, 44, 69, 20, 56,
31, 15, 64)( 5, 26, 10, 45, 70, 22, 58, 33, 16, 65)( 6, 27, 11, 38,
14, 23, 59, 34, 13, 42)( 18, 54, 29, 74, 89, 47, 83, 61, 43, 87)
( 19, 55, 30, 67, 40, 48, 84, 62, 36, 72)( 21, 57, 32, 68, 41, 49, 85,
63, 37, 73)( 24, 53)( 46, 82, 60, 88, 71, 75, 95, 86, 66, 90)
( 50, 78)( 51, 80)( 52, 81)( 76, 92)( 77, 93)( 79, 94)( 91, 96)
( 97,104, 98,113,135,103,124,108, 99,131)(100,121,105,140,165,116,152,
127,111,160)(101,122,106,141,166,118,154,129,112,161)(102,123,107,134,
110,119,155,130,109,138)(114,150,125,170,185,143,179,157,139,183)
(115,151,126,163,136,144,180,158,132,168)(117,153,128,164,137,145,181,
159,133,169)(120,149)(142,178,156,184,167,171,191,182,162,186)
(146,174)(147,176)(148,177)(172,188)(173,189)(175,190)(187,192),
( 1,150, 93,103, 58,173, 75,122, 81,142, 56,148, 49,121, 92,117, 28,172,
48,104, 80,115, 82,147, 23,191, 78,102, 57,146, 47,181, 53,114, 55,
120, 22,180, 91,101, 27,192, 20,155, 79,100, 54,190, 7,179, 77, 97,
26,189, 46,154, 52,171, 25,177, 21,152, 76,145, 8,188, 19,124, 51,
144, 95,176, 6,178, 50,119, 85,174, 18,153, 24,143, 84,149, 5,151,
96,118, 59,187, 4,123, 94,116, 83,175)( 2,185, 44,108, 65,111, 86,
166, 17,156, 64, 99, 63,165, 66,128, 35,184, 62,135, 37,126, 71,164,
34,186, 36,107, 41,163, 61,169, 13,125, 40,134, 33,168, 43,106, 14,
170, 31,138, 16,105, 89,141, 12,183, 15, 98, 70,140, 60,161, 3,182,
69,113, 32,160, 88,159, 39,162, 30,131, 68,158, 90,133, 11,167, 67,
130, 73,132, 29,137, 38,157, 72,109, 10,136, 74,129, 42,139, 9,110,
45,127, 87,112) ],
[ ( 3, 9,12,26)( 4,10,11,25)( 5,13, 6,14)( 7,20,22,16)( 8,19,21,15)(17,18)
(23,24)(29,35,38,52)(30,36,37,51)(31,39,32,40)(33,46,48,42)
(34,45,47,41)(43,44)(49,50), ( 1,28, 2,27)( 3,30)( 4,29)( 5,46)( 6,45)
( 7,34)( 8,33)( 9,40)(10,39)(11,50)(12,49)(13,36)(14,35)(15,41)(16,42)
(17,47)(18,48)(19,32)(20,31)(21,43)(22,44)(23,38)(24,37)(25,51)(26,52)
],
[ ( 1,27, 2,28)( 3,35, 8,45, 4,36, 7,46)( 5,51,14,42, 6,52,13,41)
( 9,33,19,29,10,34,20,30)(11,49,22,43,12,50,21,44)(15,32,25,39,16,31,
26,40)(17,37,24,48,18,38,23,47),
( 1,28, 2,27)( 3,42,22,32,24,33,25,37,14,43, 4,41,21,31,23,34,26,38,13,44
)( 5,49, 8,52,12,39,18,29,16,48, 6,50, 7,51,11,40,17,30,15,47)
( 9,46,10,45)(19,35,20,36) ],
[ ( 1,50, 2,49)( 3,47, 4,48)( 5,53,44,75, 6,54,43,76)( 7,89,29,51, 8,90,30,
52)( 9,72,32,88,10,71,31,87)(11,74,36,66,12,73,35,65)(13,64,33,68,14,
63,34,67)(15,84,24,85,16,83,23,86)(17,79,21,60,18,80,22,59)
(19,58,28,81,20,57,27,82)(25,78,41,56,26,77,42,55)(37,70,40,62,38,69,
39,61)(45,92,46,91),
( 1,47)( 2,48)( 3,49)( 4,50)( 5,68,30,87,20,51,21,76,42,66, 6,67,29,88,
19,52,22,75,41,65)( 7,57,31,89,16,53,12,77,44,62, 8,58,32,90,15,54,11,
78,43,61)( 9,60,34,82,18,55,13,80,35,64,10,59,33,81,17,56,14,79,36,63)
(23,74,37,85,26,69,27,83,40,72,24,73,38,86,25,70,28,84,39,71)
(45,91,46,92) ],
[ ( 1,50, 2,49)( 3,47, 4,48)( 5,82,18,74,38,57)( 6,81,17,73,37,58)
( 7,86,15,53,40,61)( 8,85,16,54,39,62)( 9,59,41,89,26,69)
(10,60,42,90,25,70)(11,51,36,64,28,84)(12,52,35,63,27,83)
(13,87,43,72,23,55)(14,88,44,71,24,56)(19,77)(20,78)(21,76,34,68,29,79)
(22,75,33,67,30,80)(31,65)(32,66)(45,92,46,91),
( 1, 3, 2, 4)( 5,32,38,18, 6,31,37,17)( 7,39,27,25, 8,40,28,26)
( 9,36,30,33,10,35,29,34)(11,15,41,21,12,16,42,22)(13,24,44,20,14,23,
43,19)(47,49,48,50)(51,77,84,63,52,78,83,64)(53,86,73,72,54,85,74,71)
(55,81,76,80,56,82,75,79)(57,62,87,68,58,61,88,67)(59,69,90,65,60,70,
89,66) ],
[ ( 1,27, 2,28)( 3,35,16,29,20,42, 7,46,25,33,10,51, 4,36,15,30,19,41, 8,
45,26,34, 9,52)( 5,43,11,31,23,37,13,49,21,39,18,47, 6,44,12,32,24,38,
14,50,22,40,17,48), ( 1,27, 2,28)( 3,37, 5,43,26,46)( 4,38, 6,44,25,45
)( 7,47,13,49,16,36)( 8,48,14,50,15,35)( 9,30,22,32,24,51)
(10,29,21,31,23,52)(11,40,17,41,20,34)(12,39,18,42,19,33) ],
[ ( 3,21,13,18,25, 9, 8,11, 5,23,16,19, 4,22,14,17,26,10, 7,12, 6,24,15,20)
(29,48,39,43,51,36,34,38,31,50,42,46,30,47,40,44,52,35,33,37,32,49,41,
45), ( 1,28, 2,27)( 3,52,10,38,14,33,25,45,11,31, 8,41,20,47, 6,29,16,
36,22,40, 4,51, 9,37,13,34,26,46,12,32, 7,42,19,48, 5,30,15,35,21,39)
(17,50,24,44,18,49,23,43) ],
[ ( 1,31, 2,32)( 3,36, 5,34)( 4,33, 6,35)( 7,60,26,48,15,37,30,56,18,45)
( 8,59,25,47,16,38,29,55,17,46)( 9,57,23,52,19,39,27,53,22,49)
(10,58,24,51,20,40,28,54,21,50)(11,41)(12,42)(13,43)(14,44),
( 3, 4, 5, 6)( 7,16,27,11,21)( 8,15,28,12,22)( 9,20,29,13,18)
(10,19,30,14,17)(33,34,35,36)(37,46,57,41,51)(38,45,58,42,52)
(39,50,59,43,48)(40,49,60,44,47) ],
[ ( 3, 4, 5, 6)( 7,25,15,29,18, 8,26,16,30,17)( 9,24,19,28,22,10,23,20,27,
21)(11,12)(13,14)(33,34,35,36)(37,56,45,60,48)(38,55,46,59,47)
(39,53,49,57,52)(40,54,50,58,51), ( 1,32, 2,31)( 3,33)( 4,34)( 5,35)
( 6,36)( 7,51,20,56,14,38,22,49,25,43)( 8,52,19,55,13,37,21,50,26,44)
( 9,48,15,53,11,40,17,46,24,42)(10,47,16,54,12,39,18,45,23,41)(27,58)
(28,57)(29,60)(30,59) ],
[ ( 1, 2,11,13,20, 3, 6,16,17, 9, 4, 7, 5,19,14, 8,12,10,22,15)
(18,21,24,23)(25,27,26,28)(29,30,39,41,48,31,34,44,45,37,32,35,33,47,
42,36,40,38,50,43)(46,49,52,51)(53,55,54,56),
( 1,29, 3,31, 4,32, 8,36)( 2,52,20,44,22,35,21,42,11,45, 6,51, 9,33,13,
40,24,43,16,47, 7,46,14,38,17,30,23,48, 5,50,12,49,15,39,19,34,18,37,
10,41)(25,53)(26,54)(27,55)(28,56) ],
[ ( 1,37,13,33, 6,36, 9,50, 5,30, 8,48,22,44, 2,32,20,47,16,40, 4,43,19,39,
12,31,15,45,11,35, 3,42,17,38, 7,29,14,41,10,34)(18,49,23,46,24,51,21,
52)(25,54)(26,53)(27,56)(28,55),
( 1,41, 5,51, 7,36,19,44,21,34, 3,45,10,46,12,29,22,33,24,35, 4,47,11,49,
2,31,13,38,23,40, 8,50,16,52, 6,32,17,39,18,30)( 9,42,14,43,15,48,20,
37)(25,55,26,56)(27,54,28,53) ],
[ ( 1,48)( 2,47)( 3,50)( 4,49)( 5,75, 6,76)( 7,89, 8,90)( 9,88,10,87)
(11,74,12,73)(13,83,14,84)(15,63,16,64)(17,62,18,61)(19,81,20,82)
(21,70,22,69)(23,67,24,68)(25,78,26,77)(27,57,28,58)(29,52,30,51)
(31,71,32,72)(33,85,34,86)(35,66,36,65)(37,60,38,59)(39,80,40,79)
(41,55,42,56)(43,54,44,53)(45,91)(46,92),
( 1,50)( 2,49)( 3,47)( 4,48)( 5,82,33,83,27,54, 6,81,34,84,28,53)
( 7,52,36,80,37,74, 8,51,35,79,38,73)( 9,75,44,71,39,60,10,76,43,72,40,
59)(11,69,32,57,24,78,12,70,31,58,23,77)(13,56,29,89,25,86,14,55,30,
90,26,85)(15,68,16,67)(17,66,42,64,20,87,18,65,41,63,19,88)
(21,62,22,61)(45,91,46,92) ],
[ ( 1, 3, 2, 4)( 5,30,44, 7, 6,29,43, 8)( 9,41,32,26,10,42,31,25)
(11,19,36,28,12,20,35,27)(13,21,33,18,14,22,34,17)(15,40,24,38,16,39,
23,37)(47,50,48,49)(51,75,90,54,52,76,89,53)(55,88,78,71,56,87,77,72)
(57,66,82,73,58,65,81,74)(59,68,79,63,60,67,80,64)(61,85,70,83,62,86,
69,84)(91,92), ( 1,50)( 2,49)( 3,47)( 4,48)( 5,71,33,77,15,87)
( 6,72,34,78,16,88)( 7,63,14,53,17,60)( 8,64,13,54,18,59)( 9,73)(10,74)
(11,90,35,85,19,68)(12,89,36,86,20,67)(21,58,43,82,40,66)
(22,57,44,81,39,65)(23,84,30,70,37,75)(24,83,29,69,38,76)
(25,79,31,61,41,51)(26,80,32,62,42,52)(27,55)(28,56)(45,91,46,92) ],
[ ( 1, 2)( 3,22,14,25)( 4,21,13,26)( 5,15, 7,11)( 6,16, 8,12)( 9,19,10,20)
(17,18)(23,24)(29,47,40,52)(30,48,39,51)(31,42,33,38)(32,41,34,37)
(35,46,36,45), ( 1,27)( 2,28)( 3,38, 5,36,17,34,21,40,20,50, 4,37, 6,
35,18,33,22,39,19,49)( 7,48,13,45,23,29,12,31,10,43, 8,47,14,46,24,30,
11,32, 9,44)(15,51,16,52)(25,42,26,41) ],
[ ( 3,25,13,20,12,23, 7,15, 6,10,22,18, 4,26,14,19,11,24, 8,16, 5, 9,21,17)
(27,28)(29,44,47,36,31,41,34,49,37,46,40,51,30,43,48,35,32,42,33,50,38,
45,39,52), ( 1,28)( 2,27)( 3,37)( 4,38)( 5,35)( 6,36)( 7,47)( 8,48)
( 9,43)(10,44)(11,31)(12,32)(13,46)(14,45)(15,52)(16,51)(17,33)(18,34)
(19,50)(20,49)(21,39)(22,40)(23,30)(24,29)(25,41)(26,42) ],
[ ( 3,12,17, 6,19,25, 7,22,23,14, 9,15, 4,11,18, 5,20,26, 8,21,24,13,10,16)
(27,28)(29,50,51,32,48,45,34,44,42,39,38,36,30,49,52,31,47,46,33,43,41,
40,37,35), ( 1,27)( 2,28)( 3,29, 4,30)( 5,31, 6,32)( 7,33, 8,34)
( 9,35,10,36)(11,37,12,38)(13,39,14,40)(15,41,16,42)(17,43,18,44)
(19,45,20,46)(21,47,22,48)(23,49,24,50)(25,51,26,52) ],
[ ( 1,67,40,52,29,71)( 2,80,38,55,43,73)( 3,92,42,65, 8,72)( 4,66,48,49,37,
91)( 5,89,36,62, 9,83)( 6,96,20,78,15,82)( 7,79,21,50,23,57)
(10,88,47,51,22,87)(11,86,19,54,24,56)(12,95,46,75,16,85)
(13,69,18,58,28,93)(14,90,33,53,25,64)(17,84,32,61,34,63)
(26,81,31,59,39,70)(27,68,44,60,35,77)(30,94,41,74,45,76),
( 1,87,16,54,39,91)( 2,56,29,61, 8,57)( 3,86,36,60,31,90)( 4,70,23,58,34,
83,14,82,35,65,22,71)( 5,63,43,74,15,64)( 6,84,46,49,42,68)
( 7,72,25,59,45,85,27,93,37,78,24,73)( 9,51,28,77,12,76)
(10,96,21,52,41,80,17,81,44,62,19,95)(11,69,33,55,47,89,30,92,48,75,32,
67)(13,94,40,50,20,66)(18,79,26,88,38,53) ],
[ ( 1,17,36,32,39,25, 2,30,46,41, 8,35, 5,10,40,47,15,37,12,11,38,19,28,23)
( 3,21,42,24,16, 4, 6,33,20,34,29, 7,13,44,18,45,43,14,26,48,31,22, 9,
27)(49,67,86,82,57,78,60,95,88,72,91,65,53,89,94,70,77,59,50,80,84,93,
64,58)(51,75,68,96,76,71,74,62,90,92,63,85,61,55,79,81,56,83,54,52,66,
69,87,73), ( 1,68, 9,61,40,91, 5,79,29,51,36,64)( 2,66,16,74,38,57,12,
90,43,54,46,77)( 3,86,28,49,42,87,13,94, 8,53,18,63)( 4,80,25,78,48,
83,14,95,37,59,33,71)( 6,84,39,50,20,56,26,88,15,60,31,76)
( 7,89,35,58,21,85,27,67,23,65,44,73)(10,96,34,75,47,72,17,81,22,55,32,
93)(11,69,45,52,19,82,30,92,24,62,41,70) ],
[ ( 1,24,13,32,29,48, 2,34,26,41,43,21, 5,45, 3,47, 9,33,12,22, 6,19,16,44)
( 4,28,11,31,37,40, 7,39,17,42,23,38,14, 8,30,20,25,36,27,15,10,18,35,
46)(49,96,64,80,54,72,60,92,57,67,51,70,53,81,91,95,74,93,50,69,77,89,
61,82)(52,84,83,68,58,56,75,86,73,90,78,87,62,88,71,79,65,76,55,94,85,
66,59,63), ( 1,74)( 2,51)( 3,91,46,88,39,50,43,79,42,63)( 4,58)( 5,54)
( 6,57,40,86, 8,53, 9,90,20,76)( 7,59)(10,85,48,92,45,52,25,67,47,93)
(11,71,21,96,22,55,35,80,19,70)(12,61)(13,64,38,84,15,60,16,68,18,87)
(14,65)(17,73,33,69,24,62,37,89,32,72)(23,95,41,82,30,83,44,81,34,75)
(26,77,36,94,28,49,29,66,31,56)(27,78) ],
[ ( 1, 4, 2, 3)( 5, 16, 23, 40, 27, 21, 6, 15, 24, 39, 28, 22)
( 7, 17, 48, 52, 31, 34, 8, 18, 47, 51, 32, 33)( 9, 12, 26, 42, 14,
38, 10, 11, 25, 41, 13, 37)( 19, 46, 49, 35, 29, 43, 20, 45, 50, 36,
30, 44)( 53, 56, 54, 55)( 57, 68, 76, 91, 79, 73)( 58, 67, 75, 92,
80, 74)( 59, 69, 99,103, 83, 86)( 60, 70,100,104, 84, 85)
( 61, 64, 77, 93, 66, 90)( 62, 63, 78, 94, 65, 89)( 71, 97,102, 87, 81,
96)( 72, 98,101, 88, 82, 95), ( 1, 55, 2, 56)( 3, 54, 4, 53)
( 5, 73, 36, 63, 14,102)( 6, 74, 35, 64, 13,101)( 7, 71, 44, 70, 27,
67)( 8, 72, 43, 69, 28, 68)( 9, 82, 45, 89, 32,104)( 10, 81, 46, 90,
31,103)( 11, 66, 49, 58, 21, 88, 12, 65, 50, 57, 22, 87)
( 15, 59, 20, 95, 18, 79, 16, 60, 19, 96, 17, 80)( 23, 93, 25, 91, 47,
85)( 24, 94, 26, 92, 48, 86)( 29, 98, 37, 84, 51, 62, 30, 97, 38, 83,
52, 61)( 33, 75, 42, 78, 39, 99, 34, 76, 41, 77, 40,100) ],
[ ( 1,27)( 2,28)( 3,47,23,32,20,41)( 4,48,24,31,19,42)( 5,35,16,34,22,43)
( 6,36,15,33,21,44)( 7,38,18,40,10,52)( 8,37,17,39, 9,51)
(11,49,13,46,25,29)(12,50,14,45,26,30),
( 3,23, 5, 9)( 4,24, 6,10)( 7,18,13,20)( 8,17,14,19)(11,21,12,22)(27,28)
(29,50,31,36)(30,49,32,35)(33,43,39,45)(34,44,40,46)(37,48,38,47)
(41,42)(51,52) ],
[ ( 1,48)( 2,47)( 3,50)( 4,49)( 5,71, 6,72)( 7,70, 8,69)( 9,73,10,74)
(11,85,12,86)(13,83,14,84)(15,77,16,78)(17,75,18,76)(19,68,20,67)
(21,65,22,66)(23,53,24,54)(25,52,26,51)(27,56,28,55)(29,64,30,63)
(31,62,32,61)(33,87,34,88)(35,90,36,89)(37,60,38,59)(39,58,40,57)
(41,80,42,79)(43,81,44,82)(45,92,46,91),
( 1,49)( 2,50)( 3,48)( 4,47)( 5,85,42,65, 6,86,41,66)( 7,82,37,68, 8,81,
38,67)( 9,70,28,63,10,69,27,64)(11,78,43,80,12,77,44,79)
(13,61,29,72,14,62,30,71)(15,76,26,59,16,75,25,60)(17,55,23,74,18,56,
24,73)(19,51,40,88,20,52,39,87)(21,54,36,84,22,53,35,83)
(31,89,33,58,32,90,34,57)(45,91)(46,92) ],
[ ( 1,48)( 2,47)( 3,50)( 4,49)( 5,72,39,66, 8,52,26,86,20,53, 6,71,40,65,
7,51,25,85,19,54)( 9,58,24,84,15,56,12,69,38,62,10,57,23,83,16,55,11,
70,37,61)(13,68,27,88,17,60,22,74,42,64,14,67,28,87,18,59,21,73,41,63)
(29,89,35,79,32,76,43,82,33,77,30,90,36,80,31,75,44,81,34,78)
(45,91,46,92), ( 1,50)( 2,49)( 3,47)( 4,48)( 5,59,21,52,14,68)
( 6,60,22,51,13,67)( 7,74,23,81,34,66)( 8,73,24,82,33,65)
( 9,63,25,85,32,75)(10,64,26,86,31,76)(11,88)(12,87)(15,90,37,61,44,83)
(16,89,38,62,43,84)(17,71,39,78,29,55)(18,72,40,77,30,56)
(19,54,27,70,36,79)(20,53,28,69,35,80)(41,58)(42,57)(45,91)(46,92) ],
[ ( 1, 3, 2, 4)( 5, 43, 14, 39, 17, 32, 6, 48)( 7, 49, 23, 33, 18,
51, 13, 40)( 8, 50, 12, 29, 19, 52, 22, 41)( 9, 42, 24, 38, 16, 31,
15, 30)( 10, 36, 21, 47, 20, 46, 11, 37)( 25, 44, 26, 45, 27, 34, 28,
35)( 53, 56, 54, 55)( 57, 83, 58, 90, 69, 94, 66, 82)
( 59,102, 65, 93, 70,104, 75, 81)( 60,103, 74, 85, 71,101, 64, 92)
( 61, 95, 67,100, 68, 84, 76, 91)( 62, 89, 63, 98, 72, 99, 73, 88)
( 77, 97, 80, 96, 79, 87, 78, 86), ( 1, 54)( 2, 53)( 3, 56)( 4, 55)
( 5, 76, 19, 57, 14, 71, 16, 66, 7, 68, 15, 59, 17, 67, 8, 69, 6,
60, 9, 58, 18, 61, 24, 70)( 10, 65, 28, 62, 22, 80, 11, 74, 25, 63,
23, 77, 20, 75, 26, 72, 12, 78, 21, 64, 27, 73, 13, 79)
( 29, 90, 51, 81, 39,103, 40, 91, 52, 92, 30,104, 41, 82, 49, 93, 48,
101, 33,100, 50, 85, 38,102)( 31, 96, 47, 83, 45, 99, 32, 97, 36, 84,
34, 88, 42, 86, 37, 94, 35, 89, 43, 87, 46, 95, 44, 98) ],
[ ( 1, 2)( 3,11,13,16)( 4,12,14,15)( 5,26, 8,22)( 6,25, 7,21)(17,24,18,23)
(29,41,39,38)(30,42,40,37)(31,47,34,51)(32,48,33,52)(35,36)
(43,50,44,49)(45,46), ( 1,27, 2,28)( 3,36)( 4,35)( 5,34)( 6,33)( 7,45)
( 8,46)( 9,48)(10,47)(11,44)(12,43)(13,29)(14,30)(15,52)(16,51)(17,40)
(18,39)(19,38)(20,37)(21,50)(22,49)(23,31)(24,32)(25,41)(26,42) ],
[ ( 1,27, 2,28)( 3,40)( 4,39)( 5,47,24,49,25,34,11,46,20,42)
( 6,48,23,50,26,33,12,45,19,41)( 7,31)( 8,32)( 9,52,14,37,18,43,16,30,
22,35)(10,51,13,38,17,44,15,29,21,36),
( 1,27)( 2,28)( 3,46,16,48, 4,45,15,47)( 5,34,13,29, 6,33,14,30)
( 7,36,25,37, 8,35,26,38)( 9,49,19,43,10,50,20,44)(11,32,24,41,12,31,
23,42)(17,52,22,39,18,51,21,40) ],
[ ( 1,33,28,17,43,47, 2,44,39,30, 9,19, 5,48, 8,10,16,32,12,21,15,11,29,41)
( 3,37,18, 4,40,24, 6,23,31, 7,38,34,13,25,42,14,36,45,26,35,20,27,46,
22)(49,95,77,65,63,81,60,89,64,59,56,69,53,80,57,58,87,96,50,67,91,78,
76,92)(51,72,94,52,68,85,74,70,84,75,90,83,61,93,86,62,79,73,54,82,88,
55,66,71), ( 1,83,38,75,39,59,20,82, 6,96,12,73,40,62,28,58,42,72, 3,
92, 5,71,46,55,15,78,31,70,26,81, 2,85,36,52, 8,65,18,93,13,69)
( 4,91,44,60,34,51,32,87,10,84, 7,57,48,49,45,54,41,56,11,94,14,64,21,
50,22,61,47,63,17,88,27,77,33,53,24,74,19,76,30,86)( 9,67,43,95,29,89,
16,80)(23,79,25,90,35,68,37,66) ],
[ ( 1,75,43,83,15,78,26,95,31,96,12,62,29,73, 8,65,13,89,18,92, 5,55,16,71,
39,59, 6,80,20,81, 2,52, 9,85,28,58, 3,67,42,69)( 4,60,35,91,22,51,10,
79,32,88, 7,49,37,57,24,54,11,90,41,86,14,50,23,64,34,61,17,68,47,84,
27,53,25,77,45,74,30,66,19,94)(21,87,33,56,44,63,48,76)
(36,93,38,82,40,72,46,70), ( 1,77)( 2,91)( 3,94)( 4,73)( 5,57)( 6,88)
( 7,83)( 8,53)( 9,87)(10,81)(11,92)(12,64)(13,86)(14,85)(15,60)(16,56)
(17,96)(18,51)(19,59)(20,74)(21,95)(22,55)(23,93)(24,62)(25,70)(26,84)
(27,71)(28,49)(29,63)(30,69)(31,54)(32,65)(33,67)(34,75)(35,72)(36,90)
(37,82)(38,79)(39,50)(40,66)(41,78)(42,61)(43,76)(44,80)(45,52)(46,68)
(47,58)(48,89) ],
[ ( 1, 4, 2, 3)( 5, 21, 35, 12, 14, 50, 6, 22, 36, 11, 13, 49)
( 7, 19, 43, 17, 27, 15, 8, 20, 44, 18, 28, 16)( 9, 30, 46, 38, 32,
52, 10, 29, 45, 37, 31, 51)( 23, 41, 26, 40, 47, 33, 24, 42, 25, 39,
48, 34)( 53, 55, 54, 56)( 57, 74, 88, 64, 66,101)( 58, 73, 87, 63,
65,102)( 59, 72, 96, 69, 79, 68)( 60, 71, 95, 70, 80, 67)
( 61, 81, 97, 90, 84,103)( 62, 82, 98, 89, 83,104)( 75, 94, 77, 92, 99,
86)( 76, 93, 78, 91,100, 85), ( 1, 53)( 2, 54)( 3, 55)( 4, 56)
( 5,100, 9, 57, 48, 61)( 6, 99, 10, 58, 47, 62)( 7, 97, 25, 59, 45,
77)( 8, 98, 26, 60, 46, 78)( 11, 92, 20, 64, 40, 71, 12, 91, 19, 63,
39, 72)( 13, 96, 24, 65, 44, 76)( 14, 95, 23, 66, 43, 75)
( 15,104, 50, 68, 52,101, 16,103, 49, 67, 51,102)( 17, 94, 29, 70, 42,
82, 18, 93, 30, 69, 41, 81)( 21, 89, 34, 74, 37, 85, 22, 90, 33, 73,
38, 86)( 27, 88, 31, 79, 36, 83)( 28, 87, 32, 80, 35, 84) ],
[ ( 1,10,16,21)( 2,11,29,33)( 3,37,40, 7)( 4,26,35,46)( 5,17,43,44)
( 6,23,38,14)( 8,22)( 9,48,12,30)(13,25,36,27)(15,24)(18,41,42,19)
(20,32,31,47)(28,34)(39,45)(49,59,64,81)(50,65,77,92)(51,71,88,62)
(52,61,83,84)(53,78,91,96)(54,73,86,75)(55,74,85,94)(56,72)
(57,69,60,58)(63,82)(66,95,90,80)(67,68,89,79)(70,87)(76,93),
( 1,64, 6,60, 9,51, 5,91,26,50,29,61)( 2,77,13,49,16,54,12,57, 3,53,43,74
)( 4,83,17,55,25,78)( 7,85,30,62,35,58)( 8,86,42,87,40,79,28,94,18,63,
36,68)(10,75,37,59,14,71)(11,52,23,65,27,73)(15,84,20,56,38,90,39,88,
31,76,46,66)(19,70,48,80,45,69)(21,89,22,81,32,72)(24,92,41,82,33,95)
(34,96,47,93,44,67) ],
[ ( 1,45)( 2,46)( 3,47)( 4,48)( 5,87,44,49,10,88,43,54)( 6,85,35,58,11,86,
37,53)( 7,83,38,57,12,84,36,52)( 8,82,39,56,13,80,40,51)
( 9,79,41,55,14,81,42,50)(15,77,26,68,18,78,25,67)(16,76,27,66,19,74,
28,65)(17,73,29,64,20,75,31,61)(21,71,32,63,22,72,30,60)
(23,70,33,62,24,69,34,59),
( 1,48)( 2,47)( 3,45)( 4,46)( 5,50,38,84,30,75)( 6,82,40,74,31,49)
( 7,52,22,61,43,79)( 8,66,17,87,35,51)( 9,78,19,58,33,60)
(10,55,36,83,32,73)(11,80,39,76,29,54)(12,57,21,64,44,81)
(13,65,20,88,37,56)(14,77,16,53,34,63)(15,69)(18,70)(23,71,42,67,27,86)
(24,72,41,68,28,85)(25,59)(26,62) ],
[ ( 1, 4, 2, 3)( 5,14,26,27,36,35)( 6,44,41,18,16, 7)( 8,34,31,13,33,29)
( 9,25,28,38,37,10)(11,43,42,15,19,12)(17,39,24)(20,40,23)(21,32)
(22,30)(45,47,46,48)(49,86,70,63,80,55)(50,54,85,69,60,82)
(51,79,88,58,62,71)(52,67,75,84,77,64)(53,59,72,56,81,87)
(57,68,73,83,78,61)(65,66),
( 1,46)( 2,45)( 3,48)( 4,47)( 5,60,42,75,18,49,27,86,17,62,44,71, 9,61,
25,88,19,53,29,69,10,63,41,73,15,54,28,85,20,59,43,72,14,64,26,87,16,
58,31,70)( 6,82,39,74,33,50,12,83,21,77,35,56,13,65,24,79,36,57,32,68,
11,80,40,76,34,55, 7,84,22,78,37,51, 8,66,23,81,38,52,30,67) ],
[ ( 1,32, 2,31)( 3,34)( 4,35)( 5,36)( 6,33)( 7,59,22,37,30,52, 8,60,21,38,
29,51)( 9,58,17,39,27,47,10,57,18,40,28,48)(11,46,26,41,15,56,12,45,
25,42,16,55)(13,50,23,43,19,53,14,49,24,44,20,54),
( 1,32)( 2,31)( 3,35)( 4,36)( 5,33)( 6,34)( 7,58,21,45,11,38,27,52,16,42)
( 8,57,22,46,12,37,28,51,15,41)( 9,60,18,49,13,40,29,47,20,44)
(10,59,17,50,14,39,30,48,19,43)(23,54)(24,53)(25,56)(26,55) ],
[ ( 3, 6, 5, 4)( 7,12, 8,11)( 9,14,10,13)(15,20,16,19)(17,25,18,26)
(21,24,22,23)(27,29,28,30)(31,32)(33,34,35,36)(37,41,38,42)
(39,43,40,44)(45,49,46,50)(47,56,48,55)(51,53,52,54)(57,60,58,59),
( 1,31, 2,32)( 3,35)( 4,36)( 5,33)( 6,34)( 7,48,11,38,17,42)
( 8,47,12,37,18,41)( 9,52,13,40,21,44)(10,51,14,39,22,43)
(15,58,23,46,27,54)(16,57,24,45,28,53)(19,60,25,50,29,56)
(20,59,26,49,30,55) ],
[ ( 1, 93, 46, 63, 2, 54, 25, 98, 27, 58, 17, 90, 35, 91, 24, 82, 12, 95,
14, 89, 6, 79, 34, 81, 10, 66, 28, 94, 11, 73, 5, 92, 18, 76, 9,
65, 30, 83, 3, 72)( 4, 78, 48, 61, 8, 55, 40, 68, 41, 59, 32, 80,
45, 53, 39, 51, 29, 96, 31, 52, 16, 75, 44, 77, 23, 67, 42, 85, 26,
74, 15, 62, 33, 64, 22, 56, 43, 84, 13, 60)( 7, 87, 38, 86, 21, 69,
20, 97)( 19, 88, 47, 71, 37, 70, 36, 57)( 49, 99, 50,100),
( 1, 60, 20, 77, 35, 67, 9, 57, 14, 84, 6, 52, 38, 61, 18, 55, 24, 71,
3, 96)( 2, 88, 11, 68, 5, 74, 21, 53, 46, 51, 10, 70, 27, 85, 17,
59, 7, 64, 34, 56)( 4, 73, 36, 91, 45, 82, 22, 69, 31, 94, 16, 58,
47, 76, 33, 65, 39, 87, 13, 98)( 8, 97, 26, 83, 15, 89, 37, 63, 48,
54, 23, 86, 41, 95, 32, 72, 19, 81, 44, 66)( 12, 78, 30, 75)
( 25, 62, 28, 80)( 29, 92, 43, 90)( 40, 79, 42, 93)( 49,100)( 50, 99) ],
[ ( 1, 54)( 2, 53)( 3, 56)( 4, 55)( 5, 94, 29, 89, 12, 58, 43, 82, 39,
63, 8, 96, 31, 92, 9, 59, 41, 84, 38, 62)( 6, 93, 30, 90, 11, 57,
44, 81, 40, 64, 7, 95, 32, 91, 10, 60, 42, 83, 37, 61)
( 13, 99, 28, 70, 23, 66, 45, 79, 19, 76, 16, 98, 26, 72, 22, 67, 48,
77, 17, 73)( 14,100, 27, 69, 24, 65, 46, 80, 20, 75, 15, 97, 25, 71,
21, 68, 47, 78, 18, 74)( 33, 86, 36, 87)( 34, 85, 35, 88)
( 49,102, 51,104)( 50,101, 52,103),
( 1, 56)( 2, 55)( 3, 53)( 4, 54)( 5, 88, 41, 69, 52, 74, 6, 87, 42,
70, 51, 73)( 7, 85, 44, 71, 49, 75, 8, 86, 43, 72, 50, 76)
( 9, 65, 47, 77, 29, 89, 10, 66, 48, 78, 30, 90)( 11, 68, 45, 79, 32,
92, 12, 67, 46, 80, 31, 91)( 13, 99, 25, 81, 37, 62, 14,100, 26, 82,
38, 61)( 15, 98, 28, 83, 39, 63, 16, 97, 27, 84, 40, 64)
( 17,104, 22, 58, 35, 94, 18,103, 21, 57, 36, 93)( 19,101, 23, 60, 34,
95, 20,102, 24, 59, 33, 96) ],
[ ( 1,36,19,43,40,10, 6,18,39,45,12,25, 9,38,42,11,27, 7,32,41, 5,26, 8,31,
37, 3,16,28,29,47, 4,14, 2,46,30,20,15,17,21,48)(13,22,35,44,24,33,23,
34)(49,95,69,76,63,51,78,79,50,74,52,89,77,55,64,59,85,86,56,73,53,93,
80,66,75,58,90,91,57,84,60,96,87,65,54,68,88,94,67,62)(61,81,71,92,72,
70,83,82), ( 1,82, 6,62,42,91,35,55, 8,93,12,70,27,84,37,86,24,76, 2,
89, 5,92,16,73,30,79,23,65,19,95, 4,81,15,74,40,94,13,66, 9,96)
( 3,72,25,75,48,87,34,67,18,90,11,83,36,54,47,69,33,50,17,88,10,61,14,
63,41,77,44,56,28,78,20,71,26,64,45,80,22,57, 7,85)(21,58,39,59,32,51,
29,68)(31,60,38,49,43,52,46,53) ],
[ ( 1,38, 2, 3,21, 7,12,31,19,20,39,28, 5,46, 9,10,32,17, 4,43, 8,11,29,18)
( 6,22,37,14,35,45,27,44,30,36,24,41,16,33,40,25,23,47,15,34,42,26,13,
48)(49,73,87,58,63,86,52,84,69,68,64,91,53,62,77,51,75,94,60,74,80,59,
54,79)(50,82,90,65,61,89,56,81,88,76,71,93,57,92,78,55,72,96,67,70,85,
66,83,95), ( 1,87, 5,77)( 2,63, 9,75)( 3,94,10,86)( 4,69,12,80)
( 6,61,16,72)( 7,74,17,84)( 8,64,19,54)(11,79,20,91)(13,67,24,56)
(14,70,25,81)(15,71,27,83)(18,73,28,62)(21,88,32,85)(22,76,33,66)
(23,50,35,57)(26,82,36,92)(29,78,39,90)(30,53,42,49)(31,95,43,93)
(34,55,44,65)(37,60,40,52)(38,89,46,96)(41,58,48,51)(45,68,47,59) ],
[ ( 1, 54, 2, 53)( 3, 56, 4, 55)( 5, 94, 28, 71, 41, 97, 20, 75, 46,
57, 24, 80, 6, 93, 27, 72, 42, 98, 19, 76, 45, 58, 23, 79)
( 7, 95, 26, 70, 44,100, 17, 73, 47, 59, 22, 78, 8, 96, 25, 69, 43,
99, 18, 74, 48, 60, 21, 77)( 9, 87, 16, 83, 36, 89, 32,101, 38, 61,
50, 68, 10, 88, 15, 84, 35, 90, 31,102, 37, 62, 49, 67)
( 11, 86, 14, 82, 33, 92, 29,103, 39, 63, 52, 66, 12, 85, 13, 81, 34,
91, 30,104, 40, 64, 51, 65), ( 1, 55)( 2, 56)( 3, 54)( 4, 53)
( 5, 66, 42, 60, 15, 96, 6, 65, 41, 59, 16, 95)( 7, 68, 43, 57, 14,
94, 8, 67, 44, 58, 13, 93)( 9, 85, 47, 64, 36, 98, 10, 86, 48, 63,
35, 97)( 11, 87, 45, 61, 33, 99, 12, 88, 46, 62, 34,100)
( 17, 89, 21, 71, 39, 76, 18, 90, 22, 72, 40, 75)( 19, 91, 24, 70, 38,
74, 20, 92, 23, 69, 37, 73)( 25, 81, 50, 80, 31,104, 26, 82, 49, 79,
32,103)( 27, 84, 51, 77, 29,102, 28, 83, 52, 78, 30,101) ],
[ ( 1, 54, 2, 53)( 3, 56, 4, 55)( 5, 98, 9,104, 15, 57, 27, 61, 34,
67, 20, 79, 32, 86, 37, 72, 45, 84, 51, 89, 6, 97, 10,103, 16, 58,
28, 62, 33, 68, 19, 80, 31, 85, 38, 71, 46, 83, 52, 90)
( 7, 99, 12,101, 14, 59, 25, 64, 36, 66, 17, 77, 30, 88, 39, 69, 48,
82, 50, 91, 8,100, 11,102, 13, 60, 26, 63, 35, 65, 18, 78, 29, 87,
40, 70, 47, 81, 49, 92)( 21, 74, 44, 95, 22, 73, 43, 96)
( 23, 76, 41, 94, 24, 75, 42, 93), ( 1, 55)( 2, 56)( 3, 54)( 4, 53)
( 5,103, 21, 79, 15, 59, 50, 75, 25, 66)( 6,104, 22, 80, 16, 60, 49,
76, 26, 65)( 7,101, 23, 78, 14, 58, 51, 74, 27, 68)( 8,102, 24, 77,
13, 57, 52, 73, 28, 67)( 9, 63)( 10, 64)( 11, 62)( 12, 61)
( 17, 87, 41,100, 39, 72, 33, 96, 45, 89)( 18, 88, 42, 99, 40, 71, 34,
95, 46, 90)( 19, 85, 43, 97, 38, 69, 36, 93, 47, 91)( 20, 86, 44, 98,
37, 70, 35, 94, 48, 92)( 29, 84)( 30, 83)( 31, 81)( 32, 82) ],
[ ( 1, 2)( 3, 6)( 4, 7)( 8,12)( 9,15)(13,24)(14,20)(17,23)(18,19)(21,22)
(25,28,26,27)(29,40,32,34)(30,36,35,31)(33,44,39,38)(37,42,43,48)
(41,49,47,51)(45,52,50,46)(53,55,54,56),
( 1,43, 5,30,24,32,20,39, 6,46, 8,42,16,40,21,31,15,38, 2,51, 4,37,11,35,
18,29,14,33,12,52, 3,48,10,34,23,36, 9,44, 7,49)(13,41,22,50,19,47,17,
45)(25,56)(26,55)(27,53)(28,54) ],
[ ( 1, 3, 2, 4)( 7,30)( 8,29)(11,35)(12,36)(13,24)(14,23)(15,33)(16,34)
(17,37)(18,38)(21,39)(22,40)(25,42)(26,41)(27,28)(31,32)(43,44)(45,46)
(47,50,48,49)(51,52)(53,75)(54,76)(55,56)(57,82)(58,81)(59,69)(60,70)
(61,80)(62,79)(63,84)(64,83)(65,66)(67,86)(68,85)(71,87)(72,88),
( 1,47, 2,48)( 3,49, 4,50)( 5,88,14,86,36,52,42,59,40,81, 6,87,13,85,35,
51,41,60,39,82)( 7,61, 9,66,18,54,15,56,20,63, 8,62,10,65,17,53,16,55,
19,64)(11,84,33,71,43,58,38,80,25,90,12,83,34,72,44,57,37,79,26,89)
(21,73,31,70,30,68,27,78,24,75,22,74,32,69,29,67,28,77,23,76)
(45,92,46,91) ],
[ ( 1,48, 2,47)( 3,50, 4,49)( 5,54,20,86,25,51, 8,66,40,71)( 6,53,19,85,26,
52, 7,65,39,72)( 9,61,38,69,11,55,15,84,23,57)(10,62,37,70,12,56,16,
83,24,58)(13,63,42,74,21,59,17,88,28,67)(14,64,41,73,22,60,18,87,27,68
)(29,78,33,82,44,75,32,79,36,90)(30,77,34,81,43,76,31,80,35,89)
(45,92,46,91), ( 1,49, 2,50)( 3,48, 4,47)( 5,87,38,80,32,53, 6,88,37,
79,31,54)( 7,51,42,84,33,78, 8,52,41,83,34,77)( 9,82,15,56,36,62,10,
81,16,55,35,61)(11,59,39,66,29,90,12,60,40,65,30,89)(13,86,20,76,44,
57,14,85,19,75,43,58)(17,69,18,70)(21,74,25,67,27,71,22,73,26,68,28,72
)(23,63,24,64)(45,92)(46,91) ],
[ ( 1,28)( 2,27)( 3,48,26,36,17,39, 8,38,15,46,24,31, 4,47,25,35,18,40, 7,
37,16,45,23,32)( 5,29,21,52, 9,43,14,34,11,41,19,50, 6,30,22,51,10,44,
13,33,12,42,20,49), ( 1,28, 2,27)( 3,43,16,46, 5,34,24,52, 9,40, 4,44,
15,45, 6,33,23,51,10,39)( 7,49,25,36,13,29,17,42,20,31, 8,50,26,35,14,
30,18,41,19,32)(11,48,12,47)(21,37,22,38) ],
[ ( 1,34,36,17)( 2,45,46,30)( 3, 7, 8,44)( 4,39,33,26)( 5,22,40,10)
( 6,14,15,48)( 9,35,29,23)(11,12,24,38)(13,27,28,21)(16,37,43,25)
(18,41)(19,42)(20,32)(31,47)(49,93,84,78)(50,70,94,58)(51,62,56,96)
(52,76,81,61)(53,72,88,59)(54,75,63,69)(55,87,92,74)(57,85,77,73)
(60,82,86,65)(64,71,91,83)(66,95)(67,79)(68,89)(80,90),
( 1,67,38,82, 9,78,12,95,40,72,43,65, 5,89,46,70,29,59, 2,80,36,93,16,58)
( 3,75,20,96,28,71,26,62,42,92,15,85,13,55,31,81, 8,83, 6,52,18,69,39,
73)( 4,90,21,63,25,61,27,79,48,56,23,54,14,66,44,87,37,51, 7,68,33,76,
35,74)(10,53,19,94,34,77,30,50,47,84,24,64,17,49,41,86,22,57,11,60,32,
88,45,91) ],
[ ( 1, 3, 2, 4)( 5,18,17,24,10,15,20,23)( 6,41,19,32,11,42,16,30)
( 7,13,36,40,12, 8,38,39)( 9,28,21,37,14,27,22,35)(25,31,34,44,26,29,
33,43)(45,48,46,47)(49,69,61,78,54,70,64,77)(50,58,63,66,55,53,60,65)
(51,84,80,52,56,83,82,57)(59,75,67,88,62,73,68,87)(71,74,79,85,72,76,
81,86), ( 1,48, 2,47)( 3,45, 4,46)( 5,61,27,70,33,81,10,64,28,69,34,79
)( 6,87,31,60,15,67,11,88,29,63,18,68)( 7,58,32,56,14,74,12,53,30,51,
9,76)( 8,83,13,84)(16,62,23,50,44,75,19,59,24,55,43,73)
(17,72,26,78,37,49,20,71,25,77,35,54)(21,80,41,65,38,85,22,82,42,66,36,
86)(39,52,40,57) ],
[ ( 1, 4, 2, 3)( 5,39,18,44, 8,25)( 6, 7,19,20,32,34)( 9,14)
(10,40,15,43,13,26)(11,12,16,17,30,33)(21,23,37,38,27,31)
(22,24,35,36,28,29)(45,47,46,48)(49,57,62,54,52,59)(50,82,63,75,76,67)
(51,72,64,66,78,79)(53,86)(55,80,60,73,74,68)(56,71,61,65,77,81)(58,85)
(69,88,83)(70,87,84), ( 1,46, 2,45)( 3,48, 4,47)( 5,63,41,75,18,54,28,
86,17,59,43,71, 9,64,26,88,19,58,31,69,10,60,42,73,15,49,27,85,20,62,
44,72,14,61,25,87,16,53,29,70)( 6,80,40,74,33,55, 7,83,21,78,37,56,13,
66,23,79,36,52,30,68,11,82,39,76,34,50,12,84,22,77,35,51, 8,65,24,81,
38,57,32,67) ],
[ ( 1, 2)( 3, 6,16,12,20,24, 7,14,25,22,10,17, 4, 5,15,11,19,23, 8,13,26,
21, 9,18)(27,28)(29,51,37,49,35,32,34,42,48,43,45,39,30,52,38,50,36,
31,33,41,47,44,46,40),
( 1,27, 2,28)( 3,45,11,51,10,32,17,37,25,49, 4,46,12,52, 9,31,18,38,26,50
)( 5,30, 6,29)( 7,35,21,41,19,40,23,47,15,44, 8,36,22,42,20,39,24,48,
16,43)(13,34,14,33) ],
[ ( 3, 9, 8,19, 4,10, 7,20)( 5,24,14,18, 6,23,13,17)(11,26,22,15,12,25,21,
16)(29,45,33,35,30,46,34,36)(31,44,39,50,32,43,40,49)(37,41,47,52,38,
42,48,51), ( 1,27, 2,28)( 3,32, 4,31)( 5,43,12,51,24,30,19,38,25,35,
6,44,11,52,23,29,20,37,26,36)( 7,40, 8,39)( 9,48,15,46,14,50,21,42,
18,33,10,47,16,45,13,49,22,41,17,34) ],
[ ( 1,27, 2,28)( 3,30,15,38,20,36, 8,33,25,47, 9,46, 4,29,16,37,19,35, 7,
34,26,48,10,45)( 5,41,12,44,23,40,14,51,21,49,17,32, 6,42,11,43,24,39,
13,52,22,50,18,31), ( 1,28, 2,27)( 3,40, 7,31, 4,39, 8,32)
( 5,49,21,51,23,33, 9,37,25,46,13,44,12,41,18,30,20,47,15,36, 6,50,22,
52,24,34,10,38,26,45,14,43,11,42,17,29,19,48,16,35) ],
[ ( 1, 4, 2, 3)( 5,21,29,24, 6,22,30,23)( 7,18,43,15, 8,17,44,16)
( 9,25,42,32,10,26,41,31)(11,20,28,36,12,19,27,35)(13,33,37,39,14,34,
38,40)(45,46)(47,49,48,50)(51,68,75,69,52,67,76,70)(53,63,89,62,54,64,
90,61)(55,72,88,77,56,71,87,78)(57,65,74,81,58,66,73,82)
(59,80,83,86,60,79,84,85)(91,92),
( 1,50)( 2,49)( 3,47)( 4,48)( 5,81,34,83,27,53)( 6,82,33,84,28,54)
( 7,51,35,80,37,73)( 8,52,36,79,38,74)( 9,76,43,71,39,59)
(10,75,44,72,40,60)(11,70,31,57,24,77)(12,69,32,58,23,78)
(13,55,30,89,25,85)(14,56,29,90,26,86)(15,67)(16,68)(17,65,41,64,20,88)
(18,66,42,63,19,87)(21,61)(22,62)(45,91,46,92) ],
[ ( 1, 3, 2, 4)( 5,35,34,37,27, 7)( 6,36,33,38,28, 8)( 9,30,43,25,39,13)
(10,29,44,26,40,14)(11,24,31)(12,23,32)(15,21)(16,22)(17,19,41,18,20,42
)(45,46)(47,50,48,49)(51,81,80,83,73,53)(52,82,79,84,74,54)
(55,76,89,71,85,59)(56,75,90,72,86,60)(57,70,77)(58,69,78)(61,67)
(62,68)(63,65,87,64,66,88)(91,92), ( 1,48)( 2,47)( 3,50)( 4,49)( 5,58)
( 6,57)( 7,68)( 8,67)( 9,70)(10,69)(11,51)(12,52)(13,72)(14,71)(15,76)
(16,75)(17,74)(18,73)(19,78)(20,77)(21,53)(22,54)(23,55)(24,56)(25,59)
(26,60)(27,63)(28,64)(29,61)(30,62)(31,65)(32,66)(33,85)(34,86)(35,83)
(36,84)(37,82)(38,81)(39,80)(40,79)(41,90)(42,89)(43,87)(44,88)
(45,92,46,91) ],
[ ( 3,18, 7,24, 4,17, 8,23)( 5,12,13,22, 6,11,14,21)( 9,25,20,15,10,26,19,
16)(27,28)(29,43,33,49,30,44,34,50)(31,37,39,47,32,38,40,48)
(35,52,46,42,36,51,45,41), ( 1,28, 2,27)( 3,38,15,35,18,32)
( 4,37,16,36,17,31)( 5,34,11,51,10,49)( 6,33,12,52, 9,50)
( 7,48,26,46,24,40)( 8,47,25,45,23,39)(13,29,21,41,19,44)
(14,30,22,42,20,43) ],
[ ( 1, 2)( 3, 6, 5, 4)( 7,18,23,14,28, 8,17,24,13,27)( 9,22,25,11,30,10,21,
26,12,29)(15,16)(19,20)(31,32)(33,34,35,36)(37,48,53,44,58,38,47,54,
43,57)(39,52,55,41,60,40,51,56,42,59)(45,46)(49,50),
( 1,31, 2,32)( 3,33)( 4,34)( 5,35)( 6,36)( 7,59,13,37,29,43)
( 8,60,14,38,30,44)( 9,58,12,39,28,42)(10,57,11,40,27,41)
(15,51,26,45,21,56)(16,52,25,46,22,55)(17,54,20,47,24,50)
(18,53,19,48,23,49) ],
[ ( 1, 2)( 3, 4, 5, 6)( 7,15,14, 8,16,13)( 9,19,11,10,20,12)
(17,30,23,18,29,24)(21,27,25,22,28,26)(31,32)(33,36,35,34)(37,46,44)
(38,45,43)(39,50,41)(40,49,42)(47,59,53)(48,60,54)(51,58,55)(52,57,56),
( 1,31, 2,32)( 3,33)( 4,34)( 5,35)( 6,36)( 7,46, 8,45)( 9,50,10,49)
(11,55,12,56)(13,54,14,53)(15,37,16,38)(17,52,18,51)(19,39,20,40)
(21,47,22,48)(23,43,24,44)(25,42,26,41)(27,59,28,60)(29,58,30,57) ],
[ ( 1,22, 4,17)( 2, 6, 7,12)( 3,13, 8,19)( 5,16,11,10)( 9,24,15,18)
(14,23,20,21)(25,28,26,27)(29,50,32,45)(30,34,35,40)(31,41,36,47)
(33,44,39,38)(37,52,43,46)(42,51,48,49)(53,55,54,56),
( 1,38,15,40,22,36,10,42,12,47, 8,33,14,35,19,32, 5,37, 7,45, 4,44, 9,34,
17,31,16,48, 6,41, 3,39,20,30,13,29,11,43, 2,50)(18,49,23,46,24,51,21,
52)(25,53)(26,54)(27,55)(28,56) ],
[ ( 1, 3, 2, 4)( 5, 33, 22, 46, 15, 17, 49, 42, 25, 39, 6, 34, 21,
45, 16, 18, 50, 41, 26, 40)( 7, 36, 24, 48, 14, 19, 52, 44, 27, 38,
8, 35, 23, 47, 13, 20, 51, 43, 28, 37)( 9, 29, 10, 30)
( 11, 31, 12, 32)( 53, 55, 54, 56)( 57,104, 74, 79, 67, 60,101, 75, 77,
65, 58,103, 73, 80, 68, 59,102, 76, 78, 66)( 61, 64, 62, 63)
( 69, 88, 94,100, 91, 71, 86, 96, 97, 90, 70, 87, 93, 99, 92, 72, 85,
95, 98, 89)( 81, 83, 82, 84), ( 1, 54)( 2, 53)( 3, 56)( 4, 55)
( 5, 77, 13, 72, 26, 92, 19, 99, 39, 57, 48, 65, 6, 78, 14, 71, 25,
91, 20,100, 40, 58, 47, 66)( 7, 79, 16, 69, 28, 90, 18, 98, 37, 59,
45, 68, 8, 80, 15, 70, 27, 89, 17, 97, 38, 60, 46, 67)
( 9, 75, 34, 84, 24,103, 31, 94, 52, 61, 41, 86, 10, 76, 33, 83, 23,
104, 32, 93, 51, 62, 42, 85)( 11, 74, 35, 81, 21,101, 30, 96, 50, 63,
43, 87, 12, 73, 36, 82, 22,102, 29, 95, 49, 64, 44, 88) ],
[ ( 1, 56, 2, 55)( 3, 53, 4, 54)( 5, 74, 45, 69, 42, 78, 6, 73, 46,
70, 41, 77)( 7, 75, 48, 71, 43, 79, 8, 76, 47, 72, 44, 80)
( 9,104, 37, 81, 35, 66, 10,103, 38, 82, 36, 65)( 11,101, 40, 83, 34,
67, 12,102, 39, 84, 33, 68)( 13, 61, 52, 89, 29, 87, 14, 62, 51, 90,
30, 88)( 15, 64, 50, 91, 32, 85, 16, 63, 49, 92, 31, 86)
( 17, 94, 26, 58, 21, 98, 18, 93, 25, 57, 22, 97)( 19, 95, 27, 60, 24,
99, 20, 96, 28, 59, 23,100), ( 1, 53)( 2, 54)( 3, 55)( 4, 56)
( 5, 90, 51, 84, 46, 71, 37, 86, 31, 80, 20, 67, 33, 62, 27, 57, 16,
103, 9, 98, 6, 89, 52, 83, 45, 72, 38, 85, 32, 79, 19, 68, 34, 61,
28, 58, 15,104, 10, 97)( 7, 92, 50, 82, 47, 70, 39, 88, 29, 78, 17,
66, 35, 63, 25, 59, 13,102, 12, 99, 8, 91, 49, 81, 48, 69, 40, 87,
30, 77, 18, 65, 36, 64, 26, 60, 14,101, 11,100)( 21, 96, 44, 74, 22,
95, 43, 73)( 23, 93, 41, 76, 24, 94, 42, 75) ],
[ ( 1, 37, 46, 32, 21, 45, 17, 36, 35, 16, 20, 44, 6, 19, 34, 15, 7, 33,
5, 47, 18, 4, 38, 48)( 2, 40, 14, 39, 25, 26, 24, 29, 11, 23, 12,
13, 10, 42, 3, 22, 28, 41, 9, 43, 27, 8, 30, 31)( 49, 50)
( 51, 98, 88, 54, 68, 97, 55, 83, 57, 65, 84, 69, 56, 94, 70, 66, 85,
86, 67, 95, 71, 82, 96, 87)( 52, 81, 80, 58, 77, 93, 59, 91, 78, 72,
53, 92, 60, 63, 62, 73, 61, 79, 74, 76, 75, 89, 64, 90)( 99,100),
( 1, 54, 12, 98, 35, 92, 5, 65, 25, 83, 46, 79, 6, 66, 30, 94, 18, 90,
17, 82, 28, 95, 34, 93)( 2, 97, 14, 63, 38, 58, 9, 69, 27, 76, 7,
72, 10, 86, 3, 81, 20, 73, 24, 87, 11, 91, 21, 89)( 4, 55, 29, 68,
45, 62, 15, 56, 40, 84, 48, 75, 16, 67, 43, 85, 33, 80, 32, 51, 42,
96, 44, 78)( 8, 57, 31, 61, 47, 59, 22, 70, 41, 64, 19, 60, 23, 71,
13, 77, 36, 74, 39, 88, 26, 53, 37, 52)( 49, 99, 50,100) ],
[ ( 1,33)( 2,34)( 3,35)( 4,36)( 5,37)( 6,38)( 7,39)( 8,40)( 9,42)(10,41)
(11,44)(12,43)(13,57,18,64,22,46,26,49,31,53)(14,58,17,63,21,45,25,50,
32,54)(15,59,20,61,24,48,28,51,30,55)(16,60,19,62,23,47,27,52,29,56),
( 1,39, 3,38, 2,40, 4,37)( 5,33, 7,35, 6,34, 8,36)( 9,54,15,60)
(10,53,16,59)(11,56,14,57)(12,55,13,58)(17,50)(18,49)(19,52)(20,51)
(21,48,27,42)(22,47,28,41)(23,45,26,44)(24,46,25,43)(29,64,30,63)
(31,61,32,62) ],
[ ( 1, 5, 4, 8, 2, 6, 3, 7)( 9,30,20,26)(10,29,19,25)(11,32,17,28)
(12,31,18,27)(13,15,14,16)(21,22)(23,24)(33,37,36,40,34,38,35,39)
(41,62,52,58)(42,61,51,57)(43,64,49,60)(44,63,50,59)(45,47,46,48)
(53,54)(55,56), ( 1,33)( 2,34)( 3,35)( 4,36)( 5,37)( 6,38)( 7,39)
( 8,40)( 9,59,17,54,15,41,28,49,21,47,10,60,18,53,16,42,27,50,22,48)
(11,58,19,56,14,43,25,51,23,46,12,57,20,55,13,44,26,52,24,45)
(29,61,30,62)(31,63,32,64) ],
[ ( 1, 5, 4, 8, 2, 6, 3, 7)(13,27,32,20)(14,28,31,19)(15,26,29,17)
(16,25,30,18)(21,24,22,23)(33,37,36,40,34,38,35,39)(41,42)(43,44)
(45,60,64,51)(46,59,63,52)(47,57,61,50)(48,58,62,49)(53,55,54,56),
( 1,37, 4,40, 2,38, 3,39)( 5,36, 8,34, 6,35, 7,33)( 9,50,11,52,10,49,12,
51)(13,60,15,57,14,59,16,58)(17,44,19,41,18,43,20,42)(21,62,23,64,22,
61,24,63)(25,46,27,48,26,45,28,47)(29,56,31,53,30,55,32,54) ],
[ ( 1,33)( 2,34)( 3,35)( 4,36)( 5,37)( 6,38)( 7,39)( 8,40)( 9,46,19,60,31,
41,14,51,28,63)(10,45,20,59,32,42,13,52,27,64)(11,48,18,57,30,43,16,
50,25,62)(12,47,17,58,29,44,15,49,26,61)(21,53)(22,54)(23,55)(24,56),
( 1,40, 3,37, 2,39, 4,38)( 5,34, 7,36, 6,33, 8,35)( 9,56,25,63)
(10,55,26,64)(11,53,27,62)(12,54,28,61)(13,45,14,46)(15,47,16,48)
(17,51)(18,52)(19,50)(20,49)(21,60,30,44)(22,59,29,43)(23,57,32,41)
(24,58,31,42) ],
[ ( 1, 8, 3, 5, 2, 7, 4, 6)( 9,11,10,12)(13,22,18,31)(14,21,17,32)
(15,24,20,30)(16,23,19,29)(33,40,35,37,34,39,36,38)(41,43,42,44)
(45,54,50,63)(46,53,49,64)(47,56,52,62)(48,55,51,61),
( 1,34, 3,36, 2,33, 4,35)( 5,38, 7,40, 6,37, 8,39)( 9,47,24,51,28,42,14,
55,18,59,12,45,22,49,26,43,15,53,19,57,10,48,23,52,27,41,13,56,17,60,
11,46,21,50,25,44,16,54,20,58)(29,61,32,64,30,62,31,63) ],
[ ( 1,36, 4,34, 2,35, 3,33)( 5,40, 8,38, 6,39, 7,37)( 9,44,12,42,10,43,11,
41)(13,59,19,64,21,47,28,50,31,55,16,57,17,62,24,45,26,51,29,53,14,60,
20,63,22,48,27,49,32,56,15,58,18,61,23,46,25,52,30,54),
( 1,40, 2,39)( 3,37, 4,38)( 5,34, 6,33)( 7,36, 8,35)( 9,46)(10,45)(11,48)
(12,47)(13,43)(14,44)(15,42)(16,41)(17,55)(18,56)(19,54)(20,53)(21,50)
(22,49)(23,52)(24,51)(25,64)(26,63)(27,61)(28,62)(29,57)(30,58)(31,59)
(32,60) ],
[ ( 1,40, 2,39)( 3,37, 4,38)( 5,34, 6,33)( 7,36, 8,35)( 9,48,19,55,10,47,
20,56)(11,45,18,54,12,46,17,53)(13,52,22,41,14,51,21,42)
(15,49,24,43,16,50,23,44)(25,58,28,59,26,57,27,60)(29,64,31,61,30,63,
32,62), ( 1,33, 3,35, 2,34, 4,36)( 5,37, 7,39, 6,38, 8,40)
( 9,53,17,64,26,41,23,49,29,58,11,55,19,61,28,43,22,51,31,60,10,54,18,
63,25,42,24,50,30,57,12,56,20,62,27,44,21,52,32,59)(13,46,15,48,14,45,
16,47) ],
[ ( 1, 6, 4, 7, 2, 5, 3, 8)( 9,31,20,22,26,14,12,29,18,23,27,15,10,32,19,
21,25,13,11,30,17,24,28,16)(33,38,36,39,34,37,35,40)(41,64,52,53,58,
45,44,62,50,56,59,48,42,63,51,54,57,46,43,61,49,55,60,47),
( 1,38)( 2,37)( 3,40)( 4,39)( 5,35)( 6,36)( 7,34)( 8,33)( 9,55,27,50,29,
48,10,56,28,49,30,47)(11,54,26,52,31,45,12,53,25,51,32,46)
(13,42,21,60,19,62,14,41,22,59,20,61)(15,44,23,57,18,64,16,43,24,58,17,
63) ],
[ ( 1, 76, 36, 85, 34, 58, 4, 90, 21, 86, 44, 71, 5, 60, 37, 95, 35, 72,
15, 77, 38, 55, 45, 87, 6, 73, 47, 67, 46, 50, 16, 88, 7, 68, 48,
56, 17, 78, 19, 84, 18, 57, 32, 91, 20, 69, 33, 70)( 2, 82, 29, 80,
3, 75, 8, 92, 25, 49, 13, 89, 9, 83, 40, 52, 11, 51, 22, 93, 30,
53, 26, 61, 10, 94, 43, 63, 14, 59, 23, 96, 28, 54, 31, 74, 24, 66,
42, 64, 27, 62, 39, 81, 12, 65, 41, 79)( 97,172,132,181,130,154,100,
186,117,182,140,167,101,156,133,191,131,168,111,173,134,151,141,183,
102,169,143,163,142,146,112,184,103,164,144,152,113,174,115,180,114,
153,128,187,116,165,129,166)( 98,178,125,176, 99,171,104,188,121,145,
109,185,105,179,136,148,107,147,118,189,126,149,122,157,106,190,139,
159,110,155,119,192,124,150,127,170,120,162,138,160,123,158,135,177,
108,161,137,175), ( 1,164, 13,152, 20,162, 16,191, 27,168, 47,189,
5,165, 26,166, 21,178, 32,163, 3,146, 19,192, 6,182, 31,167, 38,
179, 4,180, 11,153, 36,177, 17,151, 41,183, 7,190, 15,181, 14,154,
37,188)( 2,156, 29,185, 18,161, 23,187, 28,158, 45,159, 9,169, 40,
157, 34,145, 39,186, 12,171, 48,160, 10,174, 43,170, 35,149, 8,173,
25,147, 33,176, 24,172, 42,175, 46,150, 22,184, 30,155, 44,148)
( 49,135, 90,108, 75,144, 64,106, 78,139, 74,131, 53,104, 77,121, 51,
129, 80,120, 76,138, 79,142, 54,118, 88,126, 59,140, 52, 98, 60,125,
89,114, 65,119, 91,124, 62,141, 63,105, 73,136, 61,130)
( 50,115, 96,102, 86,127, 71,134, 83,100, 84,107, 57,132, 81,113, 55,
137, 87,103, 94,111, 85,110, 58,133, 92, 97, 68,109, 56,116, 66,112,
95,123, 72,143, 93,101, 69,122, 70,117, 82,128, 67, 99) ],
[ ( 1,137, 38,128, 27,133, 17,127, 21,112, 14,132, 6,122, 20,111, 11,115,
5,109, 7,100, 3,143)( 2,138, 35,135, 28,140, 24,139, 34,119, 30,
129, 10,136, 18,118, 25,144, 9,125, 46,104, 12,141)( 4, 99, 47, 97,
41,134, 32,123, 37,113, 31,117, 16,110, 36,102, 26,116, 15,107, 19,
101, 13,103)( 8,108, 45, 98, 42,131, 39,124, 44,120, 43,130, 23,126,
33,106, 40,114, 22,121, 48,105, 29,142)( 49,187, 59,176, 78,157, 65,
184, 51,160, 73,185, 54,173, 75,159, 60,175, 53,186, 62,148, 76,170)
( 50,189, 68,183, 83,163, 72,188, 55,167, 82,191, 58,177, 86,166, 66,
181, 57,192, 69,152, 94,180)( 52,172, 74,145, 91,155, 80,174, 61,161,
88,147, 64,169, 89,150, 77,171, 63,156, 79,149, 90,158)
( 56,190, 84,146, 93,164, 87,179, 67,168, 92,151, 71,178, 95,154, 81,
182, 70,162, 85,153, 96,165),
( 1,153, 23,189, 14,158, 16,183, 9,178, 13,157, 5,154, 39,192, 27,171,
32,152, 10,179, 26,170, 6,168, 8,177, 3,147, 4,166, 24,190, 31,
175, 17,146, 22,188, 11,155, 15,167, 2,162, 41,185)( 7,145, 43,163,
18,169, 37,160, 25,182, 45,186, 20,149, 42,180, 34,174, 47,176, 30,
151, 48,173, 21,150, 29,181, 35,172, 19,148, 28,164, 33,184, 38,161,
40,191, 46,156, 36,159, 12,165, 44,187)( 49,125, 67,131, 73,115, 64,
124, 86,129, 90,134, 53,136, 84,142, 78,132, 80,108, 55,140, 77,103,
54,139, 85,114, 76,133, 52,121, 68,141, 88,116, 65,138, 95,130, 60,
143, 63,126, 69,144, 91,117)( 50,135, 92,123, 59,128, 71,106, 66,122,
89,102, 57,104, 93, 99, 62,100, 87,120, 82,127, 61,113, 58,118, 96,
107, 75,111, 56, 98, 83,137, 74, 97, 72,119, 81,110, 51,112, 70,105,
94,109, 79,101) ],
[ ( 1, 83, 26, 56, 5, 94, 31, 70, 6, 66, 41, 71, 17, 82, 13, 87)
( 2, 86, 23, 84, 9, 55, 39, 85, 10, 68, 8, 95, 24, 69, 22, 67)
( 3, 72, 32, 92, 11, 50, 4, 93, 14, 57, 15, 96, 27, 58, 16, 81)
( 7, 51, 19, 61, 20, 59, 36, 74, 21, 62, 37, 79, 38, 75, 47, 89)
( 12, 53, 45, 88, 25, 54, 48, 91, 30, 65, 33, 90, 28, 49, 44, 77)
( 18, 76, 43, 80, 34, 60, 42, 52, 35, 73, 29, 63, 46, 78, 40, 64)
( 97,179,122,152,101,190,127,166,102,162,137,167,113,178,109,183)
( 98,182,119,180,105,151,135,181,106,164,104,191,120,165,118,163)
( 99,168,128,188,107,146,100,189,110,153,111,192,123,154,112,177)
(103,147,115,157,116,155,132,170,117,158,133,175,134,171,143,185)
(108,149,141,184,121,150,144,187,126,161,129,186,124,145,140,173)
(114,172,139,176,130,156,138,148,131,169,125,159,142,174,136,160),
( 1,118, 31,102, 10,109, 16, 98, 11,100, 8,123, 5,119, 41,113, 24,122,
32,105, 14,111, 22, 99, 6,135, 13, 97, 2,127, 4,106, 27,112, 23,
107, 17,104, 26,101, 9,137, 15,120, 3,128, 39,110)( 7,136, 33,117,
30,141, 37,108, 46,115, 29,130, 20,139, 44,134, 28,144, 47,121, 18,
132, 40,131, 21,138, 45,103, 12,129, 19,126, 34,133, 43,142, 38,125,
48,116, 25,140, 36,124, 35,143, 42,114)( 49,191, 88,150, 55,186, 64,
165, 60,148, 85,174, 53,163, 91,161, 68,173, 80,182, 73,159, 95,172,
54,180, 90,145, 69,184, 52,151, 78,160, 67,156, 65,181, 77,149, 86,
187, 63,164, 76,176, 84,169)( 50,177, 74,154, 82,185, 71,190, 51,152,
96,158, 57,188, 79,168, 83,157, 87,162, 59,166, 81,171, 58,189, 89,
146, 94,170, 56,178, 62,167, 92,147, 72,192, 61,153, 66,175, 70,179,
75,183, 93,155) ],
[ ( 1,126, 39,133, 35,101, 40,104, 21,142, 4,139, 2,134, 45,111, 30,105,
37,144, 5,124, 8,143, 46,102, 43,118, 38,114, 15,138, 9,103, 48,
112, 28,106, 47,129, 6,108, 22,115, 18,113, 42,119, 7,130, 16,125,
10,116, 33,128, 12,120, 19,140, 17,121, 23,132, 34, 97, 29,135, 20,
131, 32,136, 24,117, 44,100, 25, 98, 36,141)( 3, 99, 31,127, 11,107,
41,137, 14,110, 13,109, 27,123, 26,122)( 49,168, 84,157, 94,149, 71,
181, 51,162, 52,183, 69,155, 96,159, 72,182, 61,177, 53,146, 85,170,
66,150, 87,191, 59,178, 63,152, 86,158, 81,160, 50,151, 74,188, 54,
153, 95,175, 82,161, 56,163, 62,179, 64,166, 55,171, 92,176, 57,164,
79,189, 65,154, 67,185, 83,145, 70,180, 75,190, 80,167, 68,147, 93,
148, 58,165, 89,192)( 60,156, 91,187, 73,169, 90,186, 78,174, 77,173,
76,172, 88,184), ( 1,162, 7,154, 11,151, 6,179, 21,146, 27,165)
( 2,161, 46,155, 25,172, 10,149, 34,171, 28,169)( 3,182, 5,178, 20,
168, 14,164, 17,190, 38,153)( 4,177, 19,167, 26,163, 16,189, 37,152,
41,181)( 8,176, 48,170, 40,186, 23,159, 44,185, 42,184)
( 9,145, 18,158, 30,156, 24,150, 35,147, 12,174)( 13,191, 15,188, 36,
183, 31,180, 32,192, 47,166)( 22,148, 33,175, 43,173, 39,160, 45,157,
29,187)( 49,144, 62,136, 60,119, 54,140, 51,138, 78,104)
( 50,127, 69,128, 66,143, 58,109, 55,111, 83,132)( 52,114, 79,126, 77,
120, 64,131, 61,108, 91,105)( 53,129, 75,139, 73,135, 65,141, 59,125,
76,118)( 56,123, 85, 97, 81,103, 71,107, 67,102, 93,117)
( 57,137, 86,100, 82,115, 72,122, 68,112, 94,133)( 63,130, 89,124, 88,
98, 80,142, 74,121, 90,106)( 70, 99, 95,101, 92,116, 87,110, 84,113,
96,134) ],
[ ( 1,19,23, 9,17)( 2,16,20, 6,15)( 3,12, 4,18,22)( 5,14, 8,21,24)
(25,31,28,29,26,32,27,30)(33,51,55,41,49)(34,48,52,38,47)
(35,44,36,50,54)(37,46,40,53,56)(57,63,60,61,58,64,59,62),
( 1,46,21,33,14,53)( 2,49,19,34,17,51)( 3,43,23,35,11,55)( 4,47,16,36,15,
48)( 5,39,20,37, 7,52)( 6,45,24,38,13,56)( 8,44,18,40,12,50)
( 9,42,22,41,10,54)(25,58)(26,57)(27,60)(28,59)(29,62)(30,61)(31,64)
(32,63) ],
[ ( 1,16,23)( 2,18,20)( 3,10,17)( 4,21,22)( 5,13,15)( 6, 7,14)( 8,19,24)
( 9,11,12)(25,30,27,32,26,29,28,31)(33,48,55)(34,50,52)(35,42,49)
(36,53,54)(37,45,47)(38,39,46)(40,51,56)(41,43,44)(57,62,59,64,58,61,
60,63), ( 1,46,16,36,14,53, 4,47,21,33,15,48)( 2,49,18,40,17,51, 8,44,
19,34,12,50)( 3,43,22,41,11,55, 9,42,23,35,10,54)( 5,39,24,38, 7,52,
6,45,20,37,13,56)(25,60,26,59)(27,57,28,58)(29,64,30,63)
(31,61,32,62) ],
[ ( 1, 4)( 2, 8)( 3, 7,23,16,15, 9,13,22,21,14)( 5,10,20,18,12, 6,11,24,19,
17)(25,32,28,30,26,31,27,29)(35,45,55,53,47)(37,43,52,51,44)
(38,42,56,50,49)(39,54,48,46,41)(57,64,60,62,58,63,59,61),
( 1,42,23,46, 5,33,11,55,15,37, 4,43,22,47, 6,36,10,54,14,38)
( 2,45,20,49, 9,34, 7,52,12,41, 8,39,24,44, 3,40,13,56,17,35)
(16,48,21,53)(18,50,19,51)(25,64,28,62,26,63,27,61)(29,57,32,60,30,58,
31,59) ],
[ ( 1,17,21,13, 6, 4,12,16, 7, 5)( 2,15,19,11, 3, 8,14,18,10, 9)(20,24)
(22,23)(25,29,27,31,26,30,28,32)(33,44,53,39,38)(34,46,51,42,35)
(36,49,48,45,37)(40,47,50,43,41)(57,61,59,63,58,62,60,64),
( 1,55,13,36,22,39)( 2,52,11,40,24,42)( 3,48,12,41,21,49)( 4,54, 7,33,23,
45)( 5,50,14,38,19,47)( 6,51,15,37,18,46)( 8,56,10,34,20,43)
( 9,53,17,35,16,44)(25,61,27,63,26,62,28,64)(29,59,31,58,30,60,32,57) ],
[ ( 1, 75, 49, 48, 23, 47, 22, 20, 7, 46, 21, 19, 6, 18, 5, 4)
( 2, 87, 63, 64, 34, 71, 33, 40, 12, 89, 32, 69, 11, 90, 10, 72)
( 3, 76, 68, 50, 38, 96, 45, 93, 17, 92, 37, 78, 13, 91, 16, 77)
( 8, 82, 85, 55, 59, 54, 58, 25, 28, 95, 57, 84, 27, 83, 26, 56)
( 9, 42, 86, 65, 62, 35, 61, 41, 31, 14, 60, 70, 30, 39, 29, 73)
( 15, 52, 88, 51, 67, 24, 74, 94, 44, 81, 66, 80, 36, 53, 43, 79)
( 97,171,145,144,119,143,118,116,103,142,117,115,102,114,101,100)
( 98,183,159,160,130,167,129,136,108,185,128,165,107,186,106,168)
( 99,172,164,146,134,192,141,189,113,188,133,174,109,187,112,173)
(104,178,181,151,155,150,154,121,124,191,153,180,123,179,122,152)
(105,138,182,161,158,131,157,137,127,110,156,166,126,135,125,169)
(111,148,184,147,163,120,170,190,140,177,162,176,132,149,139,175),
( 1,113, 34,149, 59, 97, 17,130, 53,155)( 2,177, 8,102, 38, 98, 81,
104, 6,134)( 3,107, 24,123, 7, 99, 11,120, 27,103)( 4,140, 62,174,
84,100, 44,158, 78,180)( 5,141, 63,176, 85,101, 45,159, 80,181)
( 9,189, 25,115, 67,105, 93,121, 19,163)( 10,190, 26,117, 68,106, 94,
122, 21,164)( 12,148, 28,119, 13,108, 52,124, 23,109)( 14,110)
( 15,126, 50,151, 20,111, 30,146, 55,116)( 16,128, 51,153, 22,112, 32,
147, 57,118)( 18,170, 86,188, 95,114, 74,182, 92,191)( 29,192, 54,142,
88,125, 96,150, 46,184)( 31,173, 56,144, 36,127, 77,152, 48,132)
( 33,175, 58,145, 37,129, 79,154, 49,133)( 35,131)( 39,135)( 40,136)
( 41,137)( 42,138)( 43,156, 76,178, 47,139, 60,172, 82,143)
( 61,187, 83,171, 66,157, 91,179, 75,162)( 64,160)( 65,161)( 69,165)
( 70,166)( 71,167)( 72,168)( 73,169)( 87,183)( 89,185)( 90,186) ],
[ ( 1, 30, 22, 86, 6, 31, 49, 29, 7, 62, 5, 60, 23, 9, 21, 61)
( 2, 19, 33, 75, 11, 20, 63, 18, 12, 48, 10, 46, 34, 4, 32, 47)
( 3, 40, 45, 90, 13, 64, 68, 89, 17, 72, 16, 71, 38, 69, 37, 87)
( 8, 55, 58, 95, 27, 56, 85, 54, 28, 84, 26, 82, 59, 25, 57, 83)
( 14, 44, 73, 43, 35, 67, 70, 66, 42, 15, 41, 74, 39, 36, 65, 88)
( 24, 93, 80, 91, 52, 50, 94, 92, 53, 77, 51, 96, 81, 78, 79, 76)
( 97,158,118,156,102,105,145,157,103,126,101,182,119,127,117,125)
( 98,144,129,142,107,100,159,143,108,115,106,171,130,116,128,114)
( 99,168,141,167,109,165,164,183,113,136,112,186,134,160,133,185)
(104,180,154,178,123,121,181,179,124,151,122,191,155,152,153,150)
(110,111,169,170,131,132,166,184,138,140,137,139,135,163,161,162)
(120,173,176,192,148,174,190,172,149,189,147,187,177,146,175,188),
( 1,154, 39,147, 34,101, 59,166, 52,159, 6,181, 14,175, 2,117, 8,137,
53,106, 7,122, 35,176, 11,118, 27,161, 81,128, 23,153, 42,190, 12,
145, 28,169, 24,129)( 3,141, 13,164, 17,112, 38,133)( 4,179, 69,172,
62,114, 84,185, 77,182, 19,191, 40,187, 9,142, 25,167, 78,125, 20,
150, 64,188, 30,143, 55,183, 93,156, 48,178, 72,192, 31,171, 56,186,
50,157)( 5,155, 70,148, 63,102, 85,110, 79, 98, 21,104, 41,149, 10,
103, 26,131, 80,107, 22,123, 65,177, 32,119, 57,138, 94,108, 49,124,
73,120, 33, 97, 58,135, 51,130)( 15,170, 36,184, 44,139, 67,162)
( 16,134, 37, 99, 45,109, 68,113)( 18,180, 89,173, 86,115, 95,136, 91,
105, 46,121, 71,174, 29,116, 54,160, 92,126, 47,151, 87,189, 60,144,
82,168, 96,127, 75,152, 90,146, 61,100, 83,165, 76,158)
( 43,163, 66,111, 74,132, 88,140) ],
[ ( 1, 6, 4, 7, 2, 5, 3, 8)( 9,31,14,19)(10,32,13,20)(11,30,16,18)
(12,29,15,17)(21,24,22,23)(33,37,36,40,34,38,35,39)(41,64,46,52)
(42,63,45,51)(43,61,48,49)(44,62,47,50)(53,55,54,56)(57,58)(59,60),
( 1,34)( 2,33)( 3,36)( 4,35)( 5,38)( 6,37)( 7,40)( 8,39)( 9,42)(10,41)
(11,44)(12,43)(13,53,31,49,26,46,22,64,18,57)(14,54,32,50,25,45,21,63,
17,58)(15,55,30,51,28,48,24,61,20,59)(16,56,29,52,27,47,23,62,19,60) ],
[ ( 1,40, 4,38, 2,39, 3,37)( 5,34, 8,35, 6,33, 7,36)( 9,58,31,53,15,49,11,
60,30,55,14,51,10,57,32,54,16,50,12,59,29,56,13,52)(17,43,28,62,23,46,
19,42,25,64,22,48,18,44,27,61,24,45,20,41,26,63,21,47),
( 1,36, 2,35)( 3,33, 4,34)( 5,40, 6,39)( 7,37, 8,38)( 9,50,23,44,20,53)
(10,49,24,43,19,54)(11,52,22,41,17,55)(12,51,21,42,18,56)
(13,64,26,48,29,59)(14,63,25,47,30,60)(15,61,28,45,31,58)
(16,62,27,46,32,57) ],
[ ( 1, 6, 4, 7, 2, 5, 3, 8)( 9,21,30,14,18,26,12,24,31,15,19,27,10,22,29,
13,17,25,11,23,32,16,20,28)(33,37,36,40,34,38,35,39)(41,53,62,46,50,
58,44,56,63,47,51,59,42,54,61,45,49,57,43,55,64,48,52,60),
( 1,35, 2,36)( 3,34, 4,33)( 5,39, 6,40)( 7,38, 8,37)( 9,58,29,44,28,64)
(10,57,30,43,27,63)(11,60,31,41,25,61)(12,59,32,42,26,62)
(13,55,19,48,22,49)(14,56,20,47,21,50)(15,54,18,45,24,51)
(16,53,17,46,23,52) ],
[ ( 1, 7, 3, 6, 2, 8, 4, 5)( 9,30,19,23,26,16,11,32,18,22,28,13,10,29,20,
24,25,15,12,31,17,21,27,14)(33,40,35,37,34,39,36,38)(41,62,51,55,58,
48,43,64,50,54,60,45,42,61,52,56,57,47,44,63,49,53,59,46),
( 1,34)( 2,33)( 3,36)( 4,35)( 5,38)( 6,37)( 7,40)( 8,39)( 9,49,23,62,13,
41,17,55,30,45)(10,50,24,61,14,42,18,56,29,46)(11,51,22,64,15,43,19,
54,32,47)(12,52,21,63,16,44,20,53,31,48)(25,57)(26,58)(27,59)(28,60) ],
[ ( 1, 6, 4, 7, 2, 5, 3, 8)( 9,22,25,29)(10,21,26,30)(11,24,27,31)
(12,23,28,32)(13,16,14,15)(33,37,36,40,34,38,35,39)(41,53,57,62)
(42,54,58,61)(43,55,59,64)(44,56,60,63)(45,47,46,48)(49,50)(51,52),
( 1,34, 3,36, 2,33, 4,35)( 5,38, 7,40, 6,37, 8,39)( 9,41,12,44,10,42,11,
43)(13,63,27,55,17,46,30,60,22,50,16,61,25,53,20,47,31,58,23,51,14,64,
28,56,18,45,29,59,21,49,15,62,26,54,19,48,32,57,24,52) ],
[ ( 1, 6, 4, 7, 2, 5, 3, 8)( 9,11,10,12)(13,25,22,32)(14,26,21,31)
(15,27,24,29)(16,28,23,30)(17,18)(19,20)(33,37,36,40,34,38,35,39)
(41,44,42,43)(45,58,54,63)(46,57,53,64)(47,60,56,62)(48,59,55,61),
( 1,36, 4,34, 2,35, 3,33)( 5,40, 8,38, 6,39, 7,37)( 9,50,13,41,20,45,11,
52,15,43,17,47,10,49,14,42,19,46,12,51,16,44,18,48)(21,57,30,53,27,62,
23,59,32,55,26,64,22,58,29,54,28,61,24,60,31,56,25,63) ],
[ ( 1,33, 3,35, 2,34, 4,36)( 5,37, 7,39, 6,38, 8,40)( 9,54,25,46,17,41,23,
57,15,49,12,55,28,47,20,44,21,60,13,52,10,53,26,45,18,42,24,58,16,50,
11,56,27,48,19,43,22,59,14,51)(29,62,32,63,30,61,31,64),
( 1,40)( 2,39)( 3,37)( 4,38)( 5,34)( 6,33)( 7,36)( 8,35)( 9,64,28,48,24,
49,10,63,27,47,23,50)(11,61,25,45,21,51,12,62,26,46,22,52)
(13,55,19,41,30,60,14,56,20,42,29,59)(15,54,18,43,32,57,16,53,17,44,31,
58) ],
[ ( 1, 5, 4, 8, 2, 6, 3, 7)( 9,10)(11,12)(13,30,21,27)(14,29,22,28)
(15,32,23,26)(16,31,24,25)(17,19,18,20)(33,38,36,39,34,37,35,40)(41,42)
(43,44)(45,62,53,59)(46,61,54,60)(47,64,55,58)(48,63,56,57)
(49,51,50,52), ( 1,38, 2,37)( 3,40, 4,39)( 5,35, 6,36)( 7,34, 8,33)
( 9,45,21,60,32,50,10,46,22,59,31,49)(11,47,23,57,29,52,12,48,24,58,30,
51)(13,56,28,62,18,43,14,55,27,61,17,44)(15,53,25,64,20,42,16,54,26,
63,19,41) ],
[ ( 1,41, 4,35)( 2,38, 8,37)( 3,33, 9,36)( 5,34, 6,40)( 7,47,13,46)
(10,44,11,49)(12,43,17,42)(14,39,15,45)(16,51,21,50)(18,48,19,53)
(20,54,24,55)(22,56,23,52)(25,59,26,60)(27,58,28,57)(29,63,30,64)
(31,62,32,61), ( 1,43, 3,48,24,33,11,35,16,56)( 2,39, 5,50,23,34, 7,37,
18,55)( 4,42, 9,53,20,36,10,41,21,52)( 6,51,22,40,13,38,19,54, 8,45)
(12,44)(14,46)(15,47)(17,49)(25,62,28,63,26,61,27,64)(29,60,32,58,30,
59,31,57) ],
[ ( 1, 6,15,23,10, 4, 5,14,22,11)( 2, 3,12,20,13, 8, 9,17,24, 7)(16,21)
(18,19)(25,30,27,32,26,29,28,31)(33,38,47,55,42,36,37,46,54,43)
(34,35,44,52,45,40,41,49,56,39)(48,53)(50,51)(57,61,59,63,58,62,60,64),
( 1,48,10,52, 3,33,21,42,24,35, 4,53,11,56, 9,36,16,43,20,41)
( 2,50,13,54, 5,34,19,45,23,37, 8,51, 7,55, 6,40,18,39,22,38)
(12,44,17,49)(14,46,15,47)(25,64,27,61,26,63,28,62)(29,57,31,59,30,58,
32,60) ],
[ ( 1,33)( 2,34)( 3,53,13,47,23,35,21,45,15,55)( 4,36)( 5,51,11,44,20,37,
19,43,12,52)( 6,50,10,49,24,38,18,42,17,56)( 7,46,22,41,16,39,14,54,
9,48)( 8,40)(25,60,26,59)(27,57,28,58)(29,64,30,63)(31,61,32,62),
( 1,53,22,33,16,54, 4,48,23,36,21,55)( 2,51,24,34,18,56, 8,50,20,40,19,52
)( 3,43,12,35,10,44, 9,42,17,41,11,49)( 5,39,14,37,13,46, 6,45,15,38,
7,47)(25,63,27,62,26,64,28,61)(29,58,31,60,30,57,32,59) ],
[ ( 1,38,14,54,10,36, 6,47,22,43, 4,37,15,55,11,33, 5,46,23,42)
( 2,35,17,56,13,40, 3,44,24,39, 8,41,12,52, 7,34, 9,49,20,45)
(16,53,21,48)(18,51,19,50)(25,58)(26,57)(27,60)(28,59)(29,62)(30,61)
(31,64)(32,63), ( 1,42,12,33,10,44)( 2,45,14,34,13,46)( 3,56,18,35,24,
50)( 4,43,17,36,11,49)( 5,55,21,37,23,53)( 6,54,16,38,22,48)
( 7,47, 8,39,15,40)( 9,52,19,41,20,51)(25,62,28,63,26,61,27,64)
(29,60,32,58,30,59,31,57) ],
[ ( 1, 5, 4, 8, 2, 6, 3, 7)( 9,15,17,30,24,27,12,13,20,31,22,25,10,16,18,
29,23,28,11,14,19,32,21,26)(33,39,35,38,34,40,36,37)(41,46,50,63,56,
58,43,48,52,62,53,60,42,45,49,64,55,57,44,47,51,61,54,59),
( 1,34)( 2,33)( 3,36)( 4,35)( 5,38)( 6,37)( 7,40)( 8,39)( 9,51,26,54,29,
42,19,57,22,62,10,52,25,53,30,41,20,58,21,61)(11,50,28,56,31,44,18,59,
24,64,12,49,27,55,32,43,17,60,23,63)(13,46,14,45)(15,48,16,47) ],
[ ( 1,39)( 2,40)( 3,38)( 4,37)( 5,33)( 6,34)( 7,35)( 8,36)( 9,42,11,44,10,
41,12,43)(13,55,27,49,14,56,28,50)(15,54,26,51,16,53,25,52)
(17,47,24,58,18,48,23,57)(19,46,21,60,20,45,22,59)(29,64,32,62,30,63,
31,61), ( 1,33)( 2,34)( 3,35)( 4,36)( 5,37)( 6,38)( 7,39)( 8,40)
( 9,48,26,64,24,41,16,58,32,56)(10,47,25,63,23,42,15,57,31,55)
(11,45,28,61,21,43,13,60,29,53)(12,46,27,62,22,44,14,59,30,54)(17,49)
(18,50)(19,51)(20,52) ],
[ ( 1,35)( 2,36)( 3,34)( 4,33)( 5,39)( 6,40)( 7,38)( 8,37)( 9,47)(10,48)
(11,46)(12,45)(13,44)(14,43)(15,41)(16,42)(17,49)(18,50)(19,51)(20,52)
(21,59)(22,60)(23,58)(24,57)(25,56)(26,55)(27,53)(28,54)(29,62)(30,61)
(31,64)(32,63), ( 1,37)( 2,38)( 3,39)( 4,40)( 5,36)( 6,35)( 7,33)
( 8,34)( 9,41,11,43,10,42,12,44)(13,55,19,64,14,56,20,63)
(15,54,18,61,16,53,17,62)(21,52,30,45,22,51,29,46)(23,49,32,47,24,50,
31,48)(25,60,28,58,26,59,27,57) ],
[ ( 1, 6, 4, 7, 2, 5, 3, 8)( 9,32,20,21,26,13,12,30,18,24,27,16,10,31,19,
22,25,14,11,29,17,23,28,15)(33,40,35,37,34,39,36,38)(41,61,51,56,58,
47,43,63,50,53,60,46,42,62,52,55,57,48,44,64,49,54,59,45),
( 1,34)( 2,33)( 3,36)( 4,35)( 5,38)( 6,37)( 7,40)( 8,39)( 9,56,13,50,30,
42,23,46,17,61)(10,55,14,49,29,41,24,45,18,62)(11,53,15,52,32,44,22,
48,19,63)(12,54,16,51,31,43,21,47,20,64)(25,58)(26,57)(27,60)(28,59) ],
[ ( 1, 6, 7,21,12)( 2, 3,10,19,14)( 4, 5,13,16,17)( 8, 9,11,18,15)
(25,30,27,32,26,29,28,31)(33,45,50,52,46)(34,43,53,54,49)
(36,39,51,56,47)(40,42,48,55,44)(57,63,60,61,58,64,59,62),
( 1,33,20,52, 4,36,24,56)( 2,34,22,54, 8,40,23,55)( 3,35,14,46, 9,41,15,
47)( 5,37,17,49, 6,38,12,44)( 7,39,11,43,13,45,10,42)(16,48,18,50,21,
53,19,51)(25,57)(26,58)(27,59)(28,60)(29,61)(30,62)(31,63)(32,64) ],
[ ( 1,16, 6,17, 7, 4,21, 5,12,13)( 2,18, 3,15,10, 8,19, 9,14,11)(20,24)
(22,23)(25,30,27,32,26,29,28,31)(33,56,45,47,50,36,52,39,46,51)
(34,55,43,44,53,40,54,42,49,48)(35,41)(37,38)(57,63,60,61,58,64,59,62),
( 1,35,17,43, 4,41,12,42)( 2,37,15,39, 8,38,14,45)( 3,36, 6,34, 9,33, 5,
40)( 7,46,23,56,13,47,22,52)(10,49,20,55,11,44,24,54)(16,50,18,53,21,
51,19,48)(25,61)(26,62)(27,63)(28,64)(29,59)(30,60)(31,58)(32,57) ],
[ ( 3,23,15,13,21)( 5,20,12,11,19)( 6,24,17,10,18)( 7,16, 9,22,14)
(25,30,27,32,26,29,28,31)(33,41,56,42,48,36,35,52,43,53)
(34,38,55,45,50,40,37,54,39,51)(44,49)(46,47)(57,63,60,61,58,64,59,62),
( 1,55,16,38, 4,54,21,37)( 2,52,18,35, 8,56,19,41)( 3,36, 5,40, 9,33, 6,
34)( 7,39,11,43,13,45,10,42)(12,50,24,46,17,51,20,47)(14,53,23,49,15,
48,22,44)(25,61)(26,62)(27,63)(28,64)(29,59)(30,60)(31,58)(32,57) ],
[ ( 1, 63, 32, 53, 17, 52, 16, 49, 6, 80, 15, 65, 5, 64, 4, 54)
( 2, 89, 45, 76, 24, 79, 44, 78, 10, 74, 33, 73, 9, 61, 48, 60)
( 3, 67, 19, 83, 27, 95, 47, 82, 14, 85, 37, 66, 11, 84, 36, 94)
( 7, 92, 31, 86, 38, 81, 26, 69, 21, 96, 13, 68, 20, 93, 41, 55)
( 8, 51, 46, 90, 39, 75, 35, 91, 23, 62, 34, 88, 22, 59, 18, 77)
( 12, 70, 40, 72, 28, 56, 29, 58, 30, 87, 42, 57, 25, 71, 43, 50)
( 97,151,109,175,101,164,122,185,102,165,127,157,113,182,137,170)
( 98,169,133,160,105,174,143,176,106,172,115,148,120,156,132,159)
( 99,158,100,163,107,171,111,180,110,147,112,181,123,155,128,191)
(103,145,119,186,116,149,135,173,117,150,104,184,134,161,118,187)
(108,168,125,183,121,146,136,152,126,153,139,166,124,154,138,167)
(114,162,141,189,130,178,144,192,131,179,129,177,142,190,140,188),
( 1,139, 24,140, 28,122, 6,125, 9,144, 25,137)( 2,141, 12,127, 17,
136, 10,129, 30,109, 5,138)( 3,112, 21,104, 46,132, 14,100, 7,119,
34,143)( 4,124, 39,131, 42,110, 16,121, 22,114, 40, 99)
( 8,142, 29,123, 32,126, 23,130, 43,107, 15,108)( 11,128, 38,118, 18,
133, 27,111, 20,135, 35,115)( 13,113, 37,105, 48,117, 31,101, 19,120,
44,103)( 26, 97, 47,106, 33,134, 41,102, 36, 98, 45,116)
( 49,183, 68,189, 50,173, 54,166, 86,177, 58,187)( 51,181, 66,185, 73,
148, 62,163, 83,170, 76,160)( 52,146, 84,190, 56,169, 64,154, 95,178,
71,172)( 53,152, 69,192, 57,184, 65,167, 55,188, 72,186)
( 59,191, 82,157, 78,159, 75,180, 94,175, 60,176)( 61,182, 81,147, 88,
149, 79,164, 93,158, 90,161)( 63,153, 85,162, 70,174, 80,168, 67,179,
87,156)( 74,151, 92,155, 91,150, 89,165, 96,171, 77,145) ],
[ ( 1, 70, 31, 59, 18, 95, 15, 72, 3, 79, 44, 68, 17, 56, 26, 51, 46, 85,
4, 58, 27, 74, 33, 55, 6, 87, 13, 75, 35, 84, 32, 57, 14, 61, 48, 86,
5, 71, 41, 62, 34, 67, 16, 50, 11, 89, 45, 69)( 2, 80, 29, 73, 38,
81, 22, 53, 30, 91, 19, 83, 24, 64, 42, 60, 21, 96, 8, 49, 25, 88,
47, 82, 10, 63, 43, 76, 20, 93, 39, 65, 12, 77, 37, 66, 9, 52, 40,
78, 7, 92, 23, 54, 28, 90, 36, 94)( 97,169,129,166,105,158,112,186,
142,146,135,157,101,174,140,167,106,171,128,173,114,153,104,170,102,
172,141,183,120,147,100,184,130,154,118,175,113,156,144,152, 98,155,
111,187,131,168,119,185)( 99,190,139,163,117,145,127,188,121,182,115,
160,107,162,138,180,134,149,137,189,126,151,132,176,110,178,125,181,
103,150,109,192,124,164,133,148,123,179,136,191,116,161,122,177,108,
165,143,159), ( 1,164, 7,172, 35,168)( 2,145, 28,190, 11,158)
( 3,155, 24,161, 30,179)( 4,180, 19,186, 45,183)( 5,165, 20,156, 46,
146)( 6,182, 21,169, 18,153)( 8,148, 42,192, 26,175)
( 9,149, 12,162, 14,171)( 10,150, 25,178, 27,147)( 13,170, 39,176, 43,
189)( 15,181, 36,173, 48,152)( 16,191, 37,184, 33,166)
( 17,151, 38,174, 34,154)( 22,159, 29,177, 31,185)( 23,160, 40,188, 41,
157)( 32,163, 47,187, 44,167)( 49,135, 62,109, 94,139)
( 50,141, 60,115, 69,100)( 51,127, 82,125, 54,118)( 52, 98, 79,107, 96,
124)( 53,104, 75,122, 66,138)( 55,112, 58,129, 78,133)
( 56,142, 77,116, 85,101)( 57,144, 73,132, 86,111)( 59,137, 83,136, 65,
119)( 61,123, 92,121, 64,106)( 63,105, 89,110, 81,108)
( 67,113, 71,130, 91,134)( 68,128, 72,140, 76,143)( 70,114, 88,117, 95,
102)( 74, 99, 93,126, 80,120)( 84, 97, 87,131, 90,103) ],
[ ( 1,125)( 2,112)( 3,135)( 4,121)( 5,136)( 6,139)( 7,115)( 8,113)
( 9,128)( 10,100)( 11,104)( 12,129)( 13, 98)( 14,118)( 15,126)
( 16,124)( 17,138)( 18,137)( 19,116)( 20,132)( 21,133)( 22, 97)
( 23,101)( 24,111)( 25,140)( 26,105)( 27,119)( 28,144)( 29,130)
( 30,141)( 31,106)( 32,108)( 33, 99)( 34,109)( 35,122)( 36,117)
( 37,134)( 38,143)( 39,102)( 40,131)( 41,120)( 42,114)( 43,142)
( 44,107)( 45,110)( 46,127)( 47,103)( 48,123)( 49,166)( 50,177)
( 51,157)( 52,154)( 53,167)( 54,183)( 55,148)( 56,178)( 57,188)
( 58,189)( 59,170)( 60,181)( 61,155)( 62,175)( 63,168)( 64,146)
( 65,152)( 66,184)( 67,149)( 68,159)( 69,160)( 70,179)( 71,190)
( 72,192)( 73,191)( 74,158)( 75,185)( 76,180)( 77,182)( 78,163)
( 79,171)( 80,153)( 81,174)( 82,187)( 83,186)( 84,150)( 85,161)
( 86,176)( 87,162)( 88,151)( 89,147)( 90,165)( 91,164)( 92,172)
( 93,156)( 94,173)( 95,145)( 96,169),
( 1, 73, 47, 96, 5, 78, 19, 81, 6, 76, 36, 92, 17, 60, 37, 93)
( 2, 69, 8, 85, 9, 86, 22, 95, 10, 55, 23, 67, 24, 68, 39, 84)
( 3, 75, 33, 64, 11, 51, 44, 80, 14, 59, 45, 52, 27, 62, 48, 63)
( 4, 88, 7, 66, 15, 91, 20, 82, 16, 90, 21, 83, 32, 77, 38, 94)
( 12, 58, 43, 56, 25, 72, 42, 70, 30, 50, 29, 71, 28, 57, 40, 87)
( 13, 89, 34, 65, 26, 61, 35, 49, 31, 74, 46, 53, 41, 79, 18, 54)
( 97,192,104,171,113,189,135,158,102,188,119,155,101,177,118,147)
( 98,175,112,179,120,170,111,178,106,157,100,162,105,185,128,190)
( 99,186,122,169,123,187,109,156,110,184,137,172,107,173,127,174)
(103,159,129,151,134,148,144,182,117,176,141,165,116,160,140,164)
(108,167,138,154,124,166,139,153,126,152,136,146,121,183,125,168)
(114,191,133,145,142,181,132,161,131,180,115,150,130,163,143,149) ],
[ ( 1,112, 7,137, 30,140, 34,143, 9,138)( 2,139, 17,111, 38,127, 25,
129, 18,133)( 3,104)( 4,113, 19, 99, 43,131, 44,103, 22,108)
( 5,128, 20,109, 28,141, 35,115, 10,125)( 6,100, 21,122, 12,144, 46,
132, 24,136)( 8,124, 32,102, 47,123, 40,130, 33,134)( 11,118)
( 13,105)( 14,119)( 15, 97, 36,107, 42,142, 45,116, 23,121)
( 16,101, 37,110, 29,114, 48,117, 39,126)( 26,106)( 27,135)( 31,120)
( 41, 98)( 49,160, 62,187, 72,189, 83,170, 86,152)( 50,192, 94,175, 55,
166, 53,176, 75,186)( 51,173, 57,177, 66,185, 68,167, 54,148)
( 52,161, 79,172, 87,190, 93,158, 95,153)( 56,162, 96,171, 67,154, 63,
145, 89,156)( 58,188, 82,157, 69,183, 65,159, 59,184)( 60,191)
( 61,169, 70,178, 81,147, 84,168, 64,149)( 71,179, 92,155, 85,146, 80,
150, 74,174)( 73,163)( 76,181)( 77,151)( 78,180)( 88,164)( 90,182)
( 91,165), ( 1,166, 6,183)( 2,175, 10,157)( 3,176, 14,159)
( 4,154, 16,146)( 5,167, 17,152)( 7,184, 21,186)( 8,171, 23,155)
( 9,185, 24,170)( 11,148, 27,160)( 12,177, 30,189)( 13,145, 31,150)
( 15,168, 32,153)( 18,180, 35,191)( 19,174, 37,156)( 20,187, 38,173)
( 22,147, 39,158)( 25,188, 28,192)( 26,149, 41,161)( 29,178, 43,190)
( 33,165, 45,151)( 34,181, 46,163)( 36,172, 47,169)( 40,179, 42,162)
( 44,182, 48,164)( 49,121, 54,124)( 50,142, 58,130)( 51,107, 62,123)
( 52,136, 64,138)( 53,126, 65,108)( 55,134, 69,116)( 56,144, 71,140)
( 57,114, 72,131)( 59,110, 75, 99)( 60,101, 78,113)( 61,122, 79,137)
( 63,139, 80,125)( 66,120, 83,105)( 67,143, 85,132)( 68,103, 86,117)
( 70,129, 87,141)( 73,102, 76, 97)( 74,127, 89,109)( 77,111, 91,128)
( 81,135, 93,118)( 82, 98, 94,106)( 84,115, 95,133)( 88,112, 90,100)
( 92,104, 96,119) ],
[ ( 1, 92, 68, 55, 12, 75, 80, 67, 27, 60, 49, 78, 38, 54, 32, 48, 53, 74,
26, 30, 23, 91, 45, 25, 11, 47, 79, 44, 8, 29, 22, 77, 17, 95, 10,
20, 52, 66, 85, 9, 7, 76, 37, 84, 2, 46, 51, 36, 59, 86, 21, 50,
13, 83, 63, 19, 24, 43, 58, 62, 6, 96, 16, 56, 34, 18, 94, 15, 28,
61, 5, 93, 3, 82, 33, 4, 81, 88, 57, 31)( 14, 71, 65, 72, 39, 89,
41, 64, 42, 90, 70, 40, 35, 87, 73, 69)( 97,160,159,178,149,100,161,
182,124,174,101,183, 98,152,176,114,138,105,154,188,102,168,106,179,
177,115,169,125,155,189,117,186,107,180,190,142,135,126,181,192,103,
165,128,191,120,116,166,156,104,146,118,185,108,121,147,143,110,127,
122,172,119,136,129,150,148,144,137,157,123,173,145,167,130,151,175,
171,131,158,153,187)( 99,163,141,162,109,111,164,170,113,132,112,184,
134,140,133,139), ( 1,174, 6,189, 7,146, 23,173)( 2,126, 13,111,
12,158, 38,140)( 3,163, 11,127, 17,132, 34,105)( 4,176, 19,190, 20,
147, 48,175)( 5,188, 21,192, 22,172, 49,187)( 8,165, 42,151, 28,160,
14,180)( 9,128, 36,112, 31,159, 67,141)( 10,156, 37,139, 33,182, 68,
170)( 15,164, 30,129, 44,133, 62,106)( 16,184, 32,157, 45,162, 63,125)
( 18,177, 46,120, 47,148, 75,149)( 24,100, 81,144, 53,116, 52,115)
( 25,166, 72,153, 56,161, 40,181)( 26,185, 73,178, 58,183, 41,191)
( 27,136, 39,152, 59,168, 35,121)( 29,108, 66,109, 61, 98, 88,134)
( 43, 99, 60,130, 74,113, 86,107)( 50,101, 93,145, 78,118, 77,117)
( 51,114, 94,171, 80,143, 79,142)( 54,110, 90,124, 83,138, 71,104)
( 55,137, 69,154, 84,169, 64,122)( 57,167, 70,179, 85,186, 65,150)
( 76,102, 96, 97, 92,119, 91,103)( 82,131, 89,155, 95,135, 87,123) ],
[ ( 1, 66, 33, 77, 28, 47, 16, 30, 24, 54, 21, 67, 2, 92, 85, 4, 17, 61,
79, 56, 23, 43, 32, 50, 27, 46, 68, 9, 81, 95, 5, 44, 34, 91, 58,
48, 13, 60, 51, 55, 7, 88, 10, 93, 8, 18, 45, 62, 53, 83, 49, 36,
12, 76, 57, 20, 3, 29, 94, 25, 6, 74, 63, 78, 59, 75, 37, 31, 52,
82, 22, 15, 11, 96, 26, 19, 38, 86, 80, 84)( 14, 89, 70, 69, 39, 90,
73, 72, 42, 87, 65, 64, 35, 71, 41, 40)( 97,126,175,186,123,115,129,
188,110,152,118,182,120,160,181,171,107,173,169,150,102,127,176,185,
124,116,159,192,131,180,145,125,148,168,122,114,108,174,166,178,103,
158,190,167,155,144,106,172,138,121,101,156,149,165,153,142,130,189,
137,179,119,105,147,183,104,100,128,187,135,151,117,157,177,136,154,
143, 98,146,161,191)( 99,111,112,139,109,132,133,162,113,140,141,170,
134,163,164,184), ( 1, 97, 7,103)( 2, 98, 12,108)( 3, 99, 17,113)
( 4,100, 20,116)( 5,101, 22,118)( 6,102, 23,119)( 8,104, 28,124)
( 9,105, 31,127)( 10,106, 33,129)( 11,107, 34,130)( 13,109, 38,134)
( 14,110, 42,138)( 15,111, 44,140)( 16,112, 45,141)( 18,114, 47,143)
( 19,115, 48,144)( 21,117, 49,145)( 24,120, 53,149)( 25,121, 56,152)
( 26,122, 58,154)( 27,123, 59,155)( 29,125, 61,157)( 30,126, 62,158)
( 32,128, 63,159)( 35,131, 39,135)( 36,132, 67,163)( 37,133, 68,164)
( 40,136, 72,168)( 41,137, 73,169)( 43,139, 74,170)( 46,142, 75,171)
( 50,146, 78,174)( 51,147, 80,176)( 52,148, 81,177)( 54,150, 83,179)
( 55,151, 84,180)( 57,153, 85,181)( 60,156, 86,182)( 64,160, 69,165)
( 65,161, 70,166)( 66,162, 88,184)( 71,167, 90,186)( 76,172, 92,188)
( 77,173, 93,189)( 79,175, 94,190)( 82,178, 95,191)( 87,183, 89,185)
( 91,187, 96,192) ],
[ ( 1, 91, 41, 19, 81, 87, 22, 50, 39, 75, 79, 40, 6, 92, 65, 20, 24, 90,
49, 77, 14, 18, 80, 64, 7, 96, 73, 48, 52, 89, 5, 78, 35, 46, 94,
72, 23, 76, 70, 4, 53, 71, 21, 93, 42, 47, 51, 69)( 2, 83, 45, 30,
8, 88, 33, 55, 13, 86, 58, 44, 11, 95, 68, 31, 27, 43, 63, 56, 17,
29, 85, 67, 12, 54, 16, 62, 28, 66, 10, 84, 38, 60, 26, 15, 34, 82,
37, 9, 59, 74, 32, 25, 3, 61, 57, 36)( 97,140,190,114,134,146,117,
184,148,116,112,187,119,132,176,171,113,189,101,170,120,115,164,172,
103,111,175,143,109,174,145,162,177,100,141,192,102,163,147,142, 99,
173,118,139,149,144,133,188)( 98,136,154,125,131,180,128,183,104,127,
169,150,130,165,153,182,110,152,106,167,155,126,161,191,108,168,122,
157,135,151,159,185,124,105,137,179,107,160,181,156,138,121,129,186,
123,158,166,178), ( 1,174, 6,189, 7,146, 23,173)( 2,158, 24,160,
12,126, 53,165)( 3,180, 28,100, 17,151, 8,116)( 4,176, 19,190, 20,
147, 48,175)( 5,188, 21,192, 22,172, 49,187)( 9,159, 50,161, 31,128,
78,166)( 10,182, 51,183, 33,156, 80,185)( 11,105, 52,168, 34,127, 81,
136)( 13,121, 59,115, 38,152, 27,144)( 14,163, 39,140, 42,132, 35,111)
( 15,181, 56,101, 44,153, 25,118)( 16,191, 58,114, 45,178, 26,143)
( 18,177, 46,120, 47,148, 75,149)( 29, 98, 76,138, 61,108, 92,110)
( 30,106, 77,169, 62,129, 93,137)( 32,125, 79,186, 63,157, 94,167)
( 36,122, 84,117, 67,154, 55,145)( 37,150, 85,142, 68,179, 57,171)
( 40,164, 69,141, 72,133, 64,112)( 41,184, 70,170, 73,162, 65,139)
( 43,104, 83,102, 74,124, 54,119)( 60,107, 91,135, 86,130, 96,131)
( 66,123, 95,103, 88,155, 82, 97)( 71, 99, 89,134, 90,113, 87,109) ],
[ ( 1,23,17,19, 9)( 2,20,15,16, 6)( 3, 4,22,12,18)( 5, 8,24,14,21)
(25,32,28,30,26,31,27,29)(33,54,49,50,41,36,55,44,51,35)
(34,56,47,53,38,40,52,46,48,37)(39,45)(42,43)(57,61,59,63,58,62,60,64),
( 1,34)( 2,36)( 3,50)( 4,40)( 5,53)( 6,48)( 7,52)( 8,33)( 9,51)(10,54)
(11,55)(12,47)(13,56)(14,44)(15,49)(16,37)(17,46)(18,41)(19,35)(20,45)
(21,38)(22,43)(23,42)(24,39)(25,61)(26,62)(27,63)(28,64)(29,59)(30,60)
(31,58)(32,57) ],
[ ( 1,35,19,44,23,36, 9,50,17,54)( 2,37,16,46,20,40, 6,53,15,56)
( 3,51,12,55, 4,41,18,49,22,33)( 5,48,14,52, 8,38,21,47,24,34)( 7,45)
(10,43)(11,42)(13,39)(25,62)(26,61)(27,64)(28,63)(29,60)(30,59)(31,57)
(32,58), ( 1,46,21,33,14,53)( 2,49,19,34,17,51)( 3,43,23,35,11,55)
( 4,47,16,36,15,48)( 5,39,20,37, 7,52)( 6,45,24,38,13,56)
( 8,44,18,40,12,50)( 9,42,22,41,10,54)(25,59)(26,60)(27,58)(28,57)
(29,63)(30,64)(31,62)(32,61) ],
[ ( 1, 4)( 2, 8)( 3,16,13,14,23, 9,21, 7,15,22)( 5,18,11,17,20, 6,19,10,12,
24)(25,31,28,29,26,32,27,30)(33,36)(34,40)(35,48,45,46,55,41,53,39,47,
54)(37,50,43,49,52,38,51,42,44,56)(57,62,59,64,58,61,60,63),
( 1,41,14,36, 9,47, 4,35,15,33, 3,46)( 2,38,17,40, 6,44, 8,37,12,34, 5,49
)( 7,56,21,45,24,48,13,52,16,39,20,53)(10,55,19,43,23,50,11,54,18,42,
22,51)(25,61)(26,62)(27,63)(28,64)(29,59)(30,60)(31,58)(32,57) ],
[ ( 1, 4, 5, 18, 6, 19, 21, 46, 7, 20, 22, 47, 23, 48, 49, 75)
( 2, 55, 41, 74, 53, 30, 58, 87, 3, 93, 33, 95, 39, 36, 51, 86, 27,
40, 45, 91, 11, 56, 65, 88, 81, 31, 85, 90, 13, 50, 63, 54, 14, 44,
79, 29, 28, 64, 68, 92, 12, 84, 73, 43, 24, 62, 26, 89, 17, 77, 10,
82, 35, 67, 80, 60, 59, 72, 16, 96, 34, 25, 70, 66, 52, 9, 57, 71,
38, 78, 32, 83, 42, 15, 94, 61, 8, 69, 37, 76)( 97,182,169,151,134,
143,129,160,104,162,117,126,110,179,112,100, 98,186,153,163,119,157,
161,121,113,142,128,136,155,139,101,105,135,178,164,144,130,183,122,
140,103,156,137,180,109,114,106,165,124,184,145,158,138,150,141,116,
108,167,181,132,102,125,166,152, 99,171,159,168,123,170,118,127,131,
191,133,115,107,185,154,111)(120,192,190,189,177,188,176,174,149,187,
175,173,148,172,147,146),
( 1,134, 11,103, 59,120, 3, 98, 53,110, 7,109, 34, 97, 27,149, 17,108,
24,138)( 2,102, 28,177, 38,130, 52,135, 6, 99, 12,119, 8,148, 13,
107, 81,131, 23,113)( 4,163, 30,116, 84,146, 15,105, 78,136, 20,132,
62,100, 55,174, 44,127, 50,168)( 5,164, 32,118, 85,147, 16,106, 80,
137, 22,133, 63,101, 57,176, 45,129, 51,169)( 9,115, 56,189, 67,158,
77,165, 19,111, 31,144, 25,173, 36,126, 93,160, 48,140)
( 10,117, 58,190, 68,159, 79,166, 21,112, 33,145, 26,175, 37,128, 94,
161, 49,141)( 14,123, 42,155)( 18,184, 60,143, 95,172, 43,125, 92,167,
47,162, 86,114, 82,188, 74,157, 76,186)( 29,142, 83,192, 88,182, 91,
185, 46,139, 61,171, 54,187, 66,156, 96,183, 75,170)( 35,124, 39,104)
( 40,151, 72,180)( 41,153, 73,181)( 64,152, 69,121)( 65,154, 70,122)
( 71,178, 90,191)( 87,179, 89,150) ],
[ ( 1, 82, 65, 78, 2, 18, 58, 72, 81, 29, 21, 84, 39, 96, 32, 20, 8, 89,
51, 31, 23, 54, 41, 77, 34, 75, 57, 64, 53, 86, 5, 56, 42, 92, 10,
19, 59, 90, 94, 30, 7, 95, 70, 50, 12, 47, 26, 40, 52, 61, 49, 55,
35, 91, 63, 4, 28, 87, 80, 9, 6, 83, 73, 93, 11, 46, 85, 69, 24,
60, 22, 25, 14, 76, 33, 48, 27, 71, 79, 62)( 3, 66, 68, 36, 38, 43,
45, 15, 17, 88, 37, 67, 13, 74, 16, 44)( 97,126,175,186,123,115,129,
188,110,152,118,182,120,160,181,171,107,173,169,150,102,127,176,185,
124,116,159,192,131,180,145,125,148,168,122,114,108,174,166,178,103,
158,190,167,155,144,106,172,138,121,101,156,149,165,153,142,130,189,
137,179,119,105,147,183,104,100,128,187,135,151,117,157,177,136,154,
143, 98,146,161,191)( 99,111,112,139,109,132,133,162,113,140,141,170,
134,163,164,184), ( 1,111, 34,115, 59,173, 17,158, 53,160)
( 2,116, 8,174, 38,105, 81,168, 6,132)( 3,126, 24,165, 7,140, 11,
144, 27,189)( 4,112, 62,117, 84,175, 44,159, 78,161)( 5,139, 63,142,
85,187, 45,182, 80,183)( 9,118, 25,176, 67,106, 93,169, 19,133)
( 10,143, 26,188, 68,125, 94,186, 21,162)( 12,100, 28,146, 13,127, 52,
136, 23,163)( 14,152)( 15,128, 50,166, 20,141, 30,145, 55,190)
( 16,156, 51,185, 22,170, 32,171, 57,192)( 18,109, 86,103, 95,149, 74,
98, 92,138)( 29,119, 54,177, 88,107, 96,135, 46,113)( 31,101, 56,147,
36,129, 77,137, 48,164)( 33,114, 58,172, 37,157, 79,167, 49,184)
( 35,180)( 39,151)( 40,154)( 41,179)( 42,121)( 43,108, 76,110, 47,134,
60, 97, 82,120)( 61,102, 83,148, 66,130, 91,131, 75, 99)( 64,181)
( 65,191)( 69,153)( 70,178)( 71,155)( 72,122)( 73,150)( 87,104)
( 89,124)( 90,123) ],
[ ( 1,103, 17,138, 34,149, 53,109, 59, 98)( 2,177, 81,113, 8,107, 6,
119, 38,135)( 3,110, 11,120, 24,134, 27,108, 7, 97)( 4,116, 44,168,
62,174, 78,132, 84,105)( 5,118, 45,169, 63,176, 80,133, 85,106)
( 9,189, 93,140, 25,126, 19,144, 67,165)( 10,190, 94,141, 26,128, 21,
145, 68,166)( 12,148, 52, 99, 28,130, 23,102, 13,131)( 14,155)
( 15,136, 30,146, 50,163, 55,127, 20,100)( 16,137, 32,147, 51,164, 57,
129, 22,101)( 18,143, 74,186, 86,188, 92,162, 95,125)( 29,192, 96,170,
54,156, 46,171, 88,185)( 31,173, 77,111, 56,158, 48,115, 36,160)
( 33,175, 79,112, 58,159, 49,117, 37,161)( 35,104)( 39,124)( 40,180)
( 41,181)( 42,123)( 43,167, 60,172, 76,184, 82,157, 47,114)
( 61,187, 91,139, 83,182, 75,142, 66,183)( 64,121)( 65,122)( 69,152)
( 70,154)( 71,191)( 72,151)( 73,153)( 87,150)( 89,179)( 90,178),
( 1,132, 81,174, 17,144)( 2,180, 28,126, 14,160)( 3,115, 7,163, 52,
146)( 4,133, 93,176, 44,145)( 5,162, 94,188, 45,171)
( 6,140, 24,189, 38,100)( 8,158, 42,165, 12,151)( 9,181, 56,128, 40,
161)( 10,191, 58,156, 41,183)( 11,121, 59,127, 35,168)
( 13,116, 23,111, 53,173)( 15,117, 20,164, 77,147)( 16,142, 22,184, 79,
172)( 18,113, 96,177, 74, 97)( 19,141, 50,190, 67,101)
( 21,170, 51,192, 68,114)( 25,159, 72,166, 31,153)( 26,182, 73,185, 33,
178)( 27,105, 39,136, 34,152)( 29,104, 83,108, 71,138)
( 30,122, 84,129, 64,169)( 32,150, 85,157, 65,186)( 36,118, 48,112, 78,
175)( 37,143, 49,139, 80,187)( 43,103, 47, 99, 91,148)
( 46,134, 76,120, 88,102)( 54, 98, 90,110, 61,124)( 55,106, 69,137, 62,
154)( 57,125, 70,167, 63,179)( 60,123, 95,130, 87,135)
( 66,119, 75,109, 92,149)( 82,107, 89,131, 86,155) ],
[ ( 1,34, 2,33)( 3,36, 4,35)( 5,38, 6,37)( 7,40, 8,39)( 9,63,15,56,26,42,
31,48,24,57,10,64,16,55,25,41,32,47,23,58)(11,62,14,53,28,44,30,45,21,
59,12,61,13,54,27,43,29,46,22,60)(17,50,18,49)(19,52,20,51),
( 1,40)( 2,39)( 3,37)( 4,38)( 5,34)( 6,33)( 7,36)( 8,35)( 9,48,20,56,10,
47,19,55)(11,45,17,53,12,46,18,54)(13,52,21,42,14,51,22,41)
(15,49,23,44,16,50,24,43)(25,58,27,60,26,57,28,59)(29,64,32,62,30,63,
31,61) ],
[ ( 1, 5, 4, 8, 2, 6, 3, 7)( 9,28,22,30,19,16,12,26,23,31,17,14,10,27,21,
29,20,15,11,25,24,32,18,13)(33,40,35,37,34,39,36,38)(41,58,53,64,51,
46,43,60,55,61,50,48,42,57,54,63,52,45,44,59,56,62,49,47),
( 1,35, 2,36)( 3,34, 4,33)( 5,39, 6,40)( 7,38, 8,37)( 9,62,10,61)
(11,64,12,63)(13,45,14,46)(15,47,16,48)(17,55,18,56)(19,54,20,53)
(21,52,22,51)(23,49,24,50)(25,58,26,57)(27,60,28,59)(29,42,30,41)
(31,44,32,43) ],
[ ( 1, 7, 3, 6, 2, 8, 4, 5)( 9,18,14,21,29,25,11,20,16,23,31,27,10,17,13,
22,30,26,12,19,15,24,32,28)(33,38,36,39,34,37,35,40)(41,51,45,55,61,
60,44,49,48,53,64,58,42,52,46,56,62,59,43,50,47,54,63,57),
( 1,36)( 2,35)( 3,33)( 4,34)( 5,40)( 6,39)( 7,37)( 8,38)( 9,59,23,45,32,
44,25,53,16,62,10,60,24,46,31,43,26,54,15,61)(11,58,22,47,29,41,27,55,
13,64,12,57,21,48,30,42,28,56,14,63)(17,52,18,51)(19,49,20,50) ],
[ ( 1,34)( 2,33)( 3,36)( 4,35)( 5,38)( 6,37)( 7,40)( 8,39)( 9,53,32,42,22,
63)(10,54,31,41,21,64)(11,55,29,44,24,62)(12,56,30,43,23,61)
(13,60,18,46,27,49)(14,59,17,45,28,50)(15,57,20,48,26,51)
(16,58,19,47,25,52), ( 1, 8, 3, 5, 2, 7, 4, 6)(13,30,17,23)
(14,29,18,24)(15,32,19,22)(16,31,20,21)(25,27,26,28)(33,37,36,40,34,38,
35,39)(41,43,42,44)(45,64,50,53)(46,63,49,54)(47,61,52,55)
(48,62,51,56)(57,58)(59,60) ],
[ ( 1,35)( 2,36)( 3,34)( 4,33)( 5,39)( 6,40)( 7,38)( 8,37)( 9,42)(10,41)
(11,44)(12,43)(13,58)(14,57)(15,60)(16,59)(17,53)(18,54)(19,55)(20,56)
(21,49)(22,50)(23,51)(24,52)(25,46)(26,45)(27,48)(28,47)(29,61)(30,62)
(31,63)(32,64), ( 1,38, 2,37)( 3,40, 4,39)( 5,35, 6,36)( 7,34, 8,33)
( 9,54,27,63,10,53,28,64)(11,56,26,62,12,55,25,61)(13,48,16,46,14,47,
15,45)(17,49,19,51,18,50,20,52)(21,58,32,44,22,57,31,43)
(23,60,29,41,24,59,30,42) ],
[ ( 1,36, 2,35)( 3,33, 4,34)( 5,40, 6,39)( 7,37, 8,38)( 9,53,31,59,16,43,
23,62,26,45,10,54,32,60,15,44,24,61,25,46)(11,55,30,58,13,42,22,64,28,
47,12,56,29,57,14,41,21,63,27,48)(17,51,18,52)(19,50,20,49),
( 1,38)( 2,37)( 3,40)( 4,39)( 5,35)( 6,36)( 7,34)( 8,33)( 9,49,15,64,10,
50,16,63)(11,51,14,61,12,52,13,62)(17,45,32,43,18,46,31,44)
(19,47,29,42,20,48,30,41)(21,53,23,55,22,54,24,56)(25,60,28,58,26,59,
27,57) ],
[ ( 1, 8, 3, 5, 2, 7, 4, 6)( 9,32,25,13,23,18,11,29,27,15,22,20,10,31,26,
14,24,17,12,30,28,16,21,19)(33,37,36,40,34,38,35,39)(41,62,58,47,55,
51,44,63,59,45,53,49,42,61,57,48,56,52,43,64,60,46,54,50),
( 1,35)( 2,36)( 3,34)( 4,33)( 5,39)( 6,40)( 7,38)( 8,37)( 9,42,10,41)
(11,44,12,43)(13,50,14,49)(15,52,16,51)(17,46,18,45)(19,48,20,47)
(21,64,22,63)(23,61,24,62)(25,57,26,58)(27,59,28,60)(29,55,30,56)
(31,54,32,53) ],
[ ( 1,33, 2,34)( 3,35, 4,36)( 5,37, 6,38)( 7,39, 8,40)( 9,47,10,48)
(11,46,12,45)(13,43,14,44)(15,42,16,41)(17,64,18,63)(19,61,20,62)
(21,55,22,56)(23,54,24,53)(25,60,26,59)(27,57,28,58)(29,52,30,51)
(31,49,32,50), ( 1,37)( 2,38)( 3,39)( 4,40)( 5,36)( 6,35)( 7,33)( 8,34)
( 9,63,28,54,10,64,27,53)(11,62,25,56,12,61,26,55)(13,46,15,48,14,45,
16,47)(17,51,20,49,18,52,19,50)(21,44,31,58,22,43,32,57)
(23,41,30,60,24,42,29,59) ],
[ ( 1, 6, 7,21,12)( 2, 3,10,19,14)( 4, 5,13,16,17)( 8, 9,11,18,15)
(25,30,27,32,26,29,28,31)(33,45,50,52,46)(34,43,53,54,49)
(36,39,51,56,47)(40,42,48,55,44)(57,64,60,62,58,63,59,61),
( 1,33,20,52, 4,36,24,56)( 2,34,22,54, 8,40,23,55)( 3,35,14,46, 9,41,15,
47)( 5,37,17,49, 6,38,12,44)( 7,39,11,43,13,45,10,42)(16,48,18,50,21,
53,19,51)(25,57)(26,58)(27,59)(28,60)(29,61)(30,62)(31,63)(32,64) ],
[ ( 1, 6, 7,21,12)( 2, 3,10,19,14)( 4, 5,13,16,17)( 8, 9,11,18,15)
(25,30,27,32,26,29,28,31)(33,45,50,52,46)(34,43,53,54,49)
(36,39,51,56,47)(40,42,48,55,44)(57,64,60,62,58,63,59,61),
( 1,33,24,56, 4,36,20,52)( 2,34,23,55, 8,40,22,54)( 3,35,15,47, 9,41,14,
46)( 5,37,12,44, 6,38,17,49)( 7,39,10,42,13,45,11,43)(16,48,19,51,21,
53,18,50)(25,57)(26,58)(27,59)(28,60)(29,61)(30,62)(31,63)(32,64) ],
[ ( 1, 6, 7,21,12)( 2, 3,10,19,14)( 4, 5,13,16,17)( 8, 9,11,18,15)
(25,30,27,32,26,29,28,31)(33,39,50,56,46,36,45,51,52,47)
(34,42,53,55,49,40,43,48,54,44)(35,41)(37,38)(57,64,60,62,58,63,59,61),
( 1,33,20,52, 4,36,24,56)( 2,34,22,54, 8,40,23,55)( 3,35,14,46, 9,41,15,
47)( 5,37,17,49, 6,38,12,44)( 7,39,11,43,13,45,10,42)(16,48,18,50,21,
53,19,51)(25,57)(26,58)(27,59)(28,60)(29,61)(30,62)(31,63)(32,64) ],
[ ( 1,37,12,36,10,50)( 2,41,14,40,13,53)( 3,43,18,46,24,52)( 4,38,17,33,11,
51)( 5,39,21,49,23,54)( 6,45,16,44,22,55)( 7,48, 8,35,15,34)
( 9,42,19,47,20,56)(25,63,26,64)(27,62,28,61)(29,58,30,57)(31,60,32,59)
, ( 1,53,14,37, 9,42, 4,48,15,38, 3,43)( 2,51,17,41, 6,45, 8,50,12,35,
5,39)( 7,47,21,55,24,34,13,46,16,54,20,40)(10,44,19,52,23,36,11,49,
18,56,22,33)(25,58)(26,57)(27,60)(28,59)(29,62)(30,61)(31,64)(32,63) ],
[ ( 1,15, 4,14)( 2,12, 8,17)( 3,21, 9,16)( 5,19, 6,18)( 7,11,13,10)
(20,22,24,23)(25,29,27,31,26,30,28,32)(33,46,36,47)(34,49,40,44)
(35,48,41,53)(37,50,38,51)(39,42,45,43)(52,55,56,54)(57,63,60,61,58,64,
59,62), ( 1,35,24,43,16,33, 3,56,11,48)( 2,37,23,39,18,34, 5,55, 7,50)
( 4,41,20,42,21,36, 9,52,10,53)( 6,54,13,51, 8,38,22,45,19,40)(12,44)
(14,46)(15,47)(17,49)(25,60)(26,59)(27,57)(28,58)(29,64)(30,63)(31,61)
(32,62) ],
[ ( 1, 8, 4, 2)( 3,20, 9,24)( 5,22, 6,23)( 7,10,13,11)(12,16,17,21)
(14,18,15,19)(25,32,28,30,26,31,27,29)(33,34,36,40)(35,56,41,52)
(37,55,38,54)(39,43,45,42)(44,53,49,48)(46,51,47,50)(57,62,59,64,58,61,
60,63), ( 1,51,10,33,18,42, 4,50,11,36,19,43)( 2,48,13,34,21,45, 8,53,
7,40,16,39)( 3,56,14,35,20,46, 9,52,15,41,24,47)( 5,55,17,37,22,49, 6,
54,12,38,23,44)(25,60)(26,59)(27,57)(28,58)(29,64)(30,63)(31,61)
(32,62) ],
[ ( 1,13,22)( 2,11,24)( 3,12,21)( 4, 7,23)( 5,14,19)( 6,15,18)( 8,10,20)
( 9,17,16)(25,29,27,31,26,30,28,32)(33,45,54)(34,43,56)(35,44,53)
(36,39,55)(37,46,51)(38,47,50)(40,42,52)(41,49,48)(57,63,60,61,58,64,
59,62), ( 1,47,20,51,13,36,14,56,18,39)( 2,44,22,48,11,40,17,55,21,42)
( 3,41)( 4,46,24,50, 7,33,15,52,19,45)( 5,38)( 6,37)( 8,49,23,53,10,34,
12,54,16,43)( 9,35)(25,62,26,61)(27,64,28,63)(29,60,30,59)
(31,57,32,58) ],
[ ( 1,33, 4,36)( 2,34, 8,40)( 3,47,16,54,13,35,14,48,23,45, 9,46,21,55, 7,
41,15,53,22,39)( 5,44,18,56,11,37,17,50,20,43, 6,49,19,52,10,38,12,51,
24,42)(25,58)(26,57)(27,60)(28,59)(29,62)(30,61)(31,64)(32,63),
( 1,55,12,50, 9,33,22,44,19,41, 4,54,17,51, 3,36,23,49,18,35)
( 2,52,14,53, 6,34,24,46,16,38, 8,56,15,48, 5,40,20,47,21,37)
( 7,39,13,45)(10,42,11,43)(25,61,26,62)(27,63,28,64)(29,59,30,60)
(31,58,32,57) ],
[ ( 1, 8, 3, 5, 2, 7, 4, 6)( 9,24,15,29,25,19,11,21,14,31,27,18,10,23,16,
30,26,20,12,22,13,32,28,17)(33,38,36,39,34,37,35,40)(41,54,48,63,57,
49,44,55,46,61,60,52,42,53,47,64,58,50,43,56,45,62,59,51),
( 1,36, 2,35)( 3,33, 4,34)( 5,40, 6,39)( 7,37, 8,38)( 9,45,22,52,27,44,
16,55,18,57,10,46,21,51,28,43,15,56,17,58)(11,47,24,49,26,41,13,54,20,
59,12,48,23,50,25,42,14,53,19,60)(29,64,30,63)(31,61,32,62) ],
[ ( 1,33, 2,34)( 3,35, 4,36)( 5,37, 6,38)( 7,39, 8,40)( 9,57,24,47,32,42,
26,55,16,63)(10,58,23,48,31,41,25,56,15,64)(11,59,21,46,29,44,28,54,
13,62)(12,60,22,45,30,43,27,53,14,61)(17,50)(18,49)(19,52)(20,51),
( 1,38, 2,37)( 3,40, 4,39)( 5,35, 6,36)( 7,34, 8,33)( 9,64,21,52,13,57)
(10,63,22,51,14,58)(11,61,23,49,15,59)(12,62,24,50,16,60)
(17,46,27,42,29,54)(18,45,28,41,30,53)(19,48,26,44,31,56)
(20,47,25,43,32,55) ],
[ ( 1,33, 2,34)( 3,35, 4,36)( 5,37, 6,38)( 7,39, 8,40)( 9,43)(10,44)(11,42)
(12,41)(13,61)(14,62)(15,63)(16,64)(17,60)(18,59)(19,57)(20,58)(21,56)
(22,55)(23,53)(24,54)(25,52)(26,51)(27,49)(28,50)(29,46)(30,45)(31,48)
(32,47), ( 1,39, 2,40)( 3,38, 4,37)( 5,33, 6,34)( 7,35, 8,36)
( 9,46,19,61,23,57,10,45,20,62,24,58)(11,48,18,63,22,59,12,47,17,64,21,
60)(13,49,30,53,26,43,14,50,29,54,25,44)(15,51,32,55,28,42,16,52,31,
56,27,41) ],
[ ( 1,34, 2,33)( 3,36, 4,35)( 5,38, 6,37)( 7,40, 8,39)( 9,54,10,53)
(11,56,12,55)(13,64,14,63)(15,61,16,62)(17,51,18,52)(19,50,20,49)
(21,41,22,42)(23,43,24,44)(25,60,26,59)(27,57,28,58)(29,48,30,47)
(31,45,32,46), ( 1,38, 2,37)( 3,40, 4,39)( 5,35, 6,36)( 7,34, 8,33)
( 9,60,18,62,10,59,17,61)(11,57,20,64,12,58,19,63)(13,45,15,47,14,46,
16,48)(21,56,24,54,22,55,23,53)(25,50,32,42,26,49,31,41)
(27,52,29,44,28,51,30,43) ],
[ ( 1,13,22)( 2,11,24)( 3,12,21)( 4, 7,23)( 5,14,19)( 6,15,18)( 8,10,20)
( 9,17,16)(25,31,28,29,26,32,27,30)(33,55,48)(34,52,50)(35,49,42)
(36,54,53)(37,47,45)(38,46,39)(40,56,51)(41,44,43)(57,62,59,64,58,61,
60,63), ( 1,34,18,41,11,55)( 2,36,21,38, 7,52)( 3,50,20,45,15,49)
( 4,40,19,35,10,54)( 5,53,22,43,12,47)( 6,48,23,42,17,46)
( 8,33,16,37,13,56)( 9,51,24,39,14,44)(25,62,26,61)(27,64,28,63)
(29,60,30,59)(31,57,32,58) ],
[ ( 1,39,18,56, 6,37, 4,45,19,52, 5,38)( 2,42,21,55, 3,41, 8,43,16,54, 9,35
)( 7,50,12,34,22,44,13,51,17,40,23,49)(10,53,14,36,24,46,11,48,15,33,
20,47)(25,60,26,59)(27,57,28,58)(29,64,30,63)(31,61,32,62),
( 1,45,12,53,20,40, 4,39,17,48,24,34)( 2,43,14,51,22,33, 8,42,15,50,23,36
)( 3,44, 7,55,19,37, 9,49,13,54,18,38)( 5,46,10,52,16,41, 6,47,11,56,
21,35)(25,64,26,63)(27,61,28,62)(29,57,30,58)(31,59,32,60) ],
[ ( 1,16,11,24, 3)( 2,18, 7,23, 5)( 4,21,10,20, 9)( 6, 8,19,13,22)
(25,30,27,32,26,29,28,31)(33,49,53,45,38,36,44,48,39,37)
(34,47,51,43,35,40,46,50,42,41)(52,56)(54,55)(57,63,60,61,58,64,59,62),
( 1,37,21,54, 4,38,16,55)( 2,41,19,56, 8,35,18,52)( 3,34, 6,33, 9,40, 5,
36)( 7,42,10,45,13,43,11,39)(12,47,20,51,17,46,24,50)(14,44,22,48,15,
49,23,53)(25,63,26,64)(27,62,28,61)(29,58,30,57)(31,60,32,59) ],
[ ( 1,22,13)( 2,24,11)( 3,21,12)( 4,23, 7)( 5,19,14)( 6,18,15)( 8,20,10)
( 9,16,17)(25,32,28,30,26,31,27,29)(33,55,45,36,54,39)(34,52,43,40,56,
42)(35,48,44,41,53,49)(37,50,46,38,51,47)(57,61,59,63,58,62,60,64),
( 1,46,11,37,22,36,14,42, 5,55, 4,47,10,38,23,33,15,43, 6,54)
( 2,49, 7,41,24,40,17,45, 9,52, 8,44,13,35,20,34,12,39, 3,56)
(16,53,21,48)(18,51,19,50)(25,63,26,64)(27,62,28,61)(29,58,30,57)
(31,60,32,59) ],
[ ( 1,14,10, 6,22, 4,15,11, 5,23)( 2,17,13, 3,24, 8,12, 7, 9,20)(16,21)
(18,19)(25,30,27,32,26,29,28,31)(33,46,42,38,54,36,47,43,37,55)
(34,49,45,35,56,40,44,39,41,52)(48,53)(50,51)(57,63,60,61,58,64,59,62),
( 1,41, 7,36, 3,45)( 2,38,10,40, 5,43)( 4,35,13,33, 9,39)( 6,42, 8,37,11,
34)(12,53,20,49,16,56)(14,51,22,47,18,55)(15,50,23,46,19,54)
(17,48,24,44,21,52)(25,60,26,59)(27,57,28,58)(29,64,30,63)
(31,61,32,62) ],
[ ( 1,13,12, 5,21, 4, 7,17, 6,16)( 2,11,14, 9,19, 8,10,15, 3,18)(20,24)
(22,23)(25,30,27,32,26,29,28,31)(33,45,44,37,53,36,39,49,38,48)
(34,43,46,41,51,40,42,47,35,50)(52,56)(54,55)(57,63,60,61,58,64,59,62),
( 1,47,11,38,22,33,14,43, 5,54, 4,46,10,37,23,36,15,42, 6,55)
( 2,44, 7,35,24,34,17,39, 9,56, 8,49,13,41,20,40,12,45, 3,52)
(16,48,21,53)(18,50,19,51)(25,62,26,61)(27,64,28,63)(29,60,30,59)
(31,57,32,58) ],
[ ( 1, 2)( 3, 4)( 5,22,26,12,24)( 6,21,25,11,23)( 7,31,39,13,27)
( 8,32,40,14,28)( 9,29,19,33,37)(10,30,20,34,38)(15,36,41,18,43)
(16,35,42,17,44)(45,46)(47,48)(49,50)(51,68,72,58,70)(52,67,71,57,69)
(53,77,85,59,73)(54,78,86,60,74)(55,75,65,79,83)(56,76,66,80,84)
(61,82,87,64,89)(62,81,88,63,90)(91,92),
( 1, 3, 2, 4)( 5,31)( 6,32)( 9,27)(10,28)(11,39)(12,40)(15,25)(16,26)
(19,44)(20,43)(21,36)(22,35)(23,24)(29,30)(33,41)(34,42)(37,38)
(47,49,48,50)(51,77)(52,78)(55,73)(56,74)(57,85)(58,86)(61,71)(62,72)
(65,90)(66,89)(67,82)(68,81)(69,70)(75,76)(79,87)(80,88)(83,84),
( 1,47)( 2,48)( 3,49)( 4,50)( 5,51)( 6,52)( 7,53)( 8,54)( 9,55)(10,56)
(11,57)(12,58)(13,59)(14,60)(15,61)(16,62)(17,63)(18,64)(19,65)(20,66)
(21,67)(22,68)(23,69)(24,70)(25,71)(26,72)(27,73)(28,74)(29,75)(30,76)
(31,77)(32,78)(33,79)(34,80)(35,81)(36,82)(37,83)(38,84)(39,85)(40,86)
(41,87)(42,88)(43,89)(44,90)(45,91)(46,92) ],
[ ( 5, 6, 18, 26, 22, 9, 15, 8, 25, 13, 17, 14, 7, 28, 12, 16, 24, 19,
27, 23)( 10, 21, 20, 11)( 29, 39, 44, 42, 51, 33, 38, 35, 32, 50, 41,
48, 34, 31, 49, 40, 30, 45, 43, 52)( 36, 47, 46, 37)( 57, 58, 70, 78,
74, 61, 67, 60, 77, 65, 69, 66, 59, 80, 64, 68, 76, 71, 79, 75)
( 62, 73, 72, 63)( 81, 91, 96, 94,103, 85, 90, 87, 84,102, 93,100, 86,
83,101, 92, 82, 97, 95,104)( 88, 99, 98, 89),
( 1, 3, 2, 4)( 5, 31)( 6, 36)( 7, 35)( 8, 44)( 9, 43)( 10, 40)
( 11, 41)( 12, 49)( 13, 50)( 14, 46)( 15, 47)( 16, 32)( 17, 42)
( 18, 45)( 19, 34)( 20, 33)( 21, 29)( 22, 51)( 23, 52)( 24, 37)
( 25, 38)( 26, 39)( 27, 30)( 28, 48)( 53, 55, 54, 56)( 57, 83)( 58, 88)
( 59, 87)( 60, 96)( 61, 95)( 62, 92)( 63, 93)( 64,101)( 65,102)
( 66, 98)( 67, 99)( 68, 84)( 69, 94)( 70, 97)( 71, 86)( 72, 85)
( 73, 81)( 74,103)( 75,104)( 76, 89)( 77, 90)( 78, 91)( 79, 82)
( 80,100), ( 1, 53)( 2, 54)( 3, 55)( 4, 56)( 5, 57)( 6, 58)
( 7, 59)( 8, 60)( 9, 61)( 10, 62)( 11, 63)( 12, 64)( 13, 65)
( 14, 66)( 15, 67)( 16, 68)( 17, 69)( 18, 70)( 19, 71)( 20, 72)
( 21, 73)( 22, 74)( 23, 75)( 24, 76)( 25, 77)( 26, 78)( 27, 79)
( 28, 80)( 29, 81)( 30, 82)( 31, 83)( 32, 84)( 33, 85)( 34, 86)
( 35, 87)( 36, 88)( 37, 89)( 38, 90)( 39, 91)( 40, 92)( 41, 93)
( 42, 94)( 43, 95)( 44, 96)( 45, 97)( 46, 98)( 47, 99)( 48,100)
( 49,101)( 50,102)( 51,103)( 52,104) ],
[ ( 1, 2)( 3, 4)( 5,22,26,12,24)( 6,21,25,11,23)( 7,31,39,13,27)
( 8,32,40,14,28)( 9,29,19,33,37)(10,30,20,34,38)(15,36,41,18,43)
(16,35,42,17,44)(45,46)(47,48)(49,50)(51,68,72,58,70)(52,67,71,57,69)
(53,77,85,59,73)(54,78,86,60,74)(55,75,65,79,83)(56,76,66,80,84)
(61,82,87,64,89)(62,81,88,63,90)(91,92),
( 1, 3, 2, 4)( 5,31)( 6,32)( 9,27)(10,28)(11,39)(12,40)(15,25)(16,26)
(19,44)(20,43)(21,36)(22,35)(23,24)(29,30)(33,41)(34,42)(37,38)
(47,49,48,50)(51,78)(52,77)(53,54)(55,74)(56,73)(57,86)(58,85)(59,60)
(61,72)(62,71)(63,64)(65,89)(66,90)(67,81)(68,82)(79,88)(80,87),
( 1,47)( 2,48)( 3,49)( 4,50)( 5,51)( 6,52)( 7,53)( 8,54)( 9,55)(10,56)
(11,57)(12,58)(13,59)(14,60)(15,61)(16,62)(17,63)(18,64)(19,65)(20,66)
(21,67)(22,68)(23,69)(24,70)(25,71)(26,72)(27,73)(28,74)(29,75)(30,76)
(31,77)(32,78)(33,79)(34,80)(35,81)(36,82)(37,83)(38,84)(39,85)(40,86)
(41,87)(42,88)(43,89)(44,90)(45,91)(46,92) ],
[ ( 1, 2)( 3, 4)( 5,32,42,20,13,44,22, 9,31,40,10,30,41,17, 8,43,21,14,29,
39)( 6,33,26,19, 7,35,24,18,28,38,11,34,25,16,12,37,23,15,27,36)
(45,46)(47,48)(49,76,86,64,57,88,66,53,75,84,54,74,85,61,52,87,65,58,
73,83)(50,77,70,63,51,79,68,62,72,82,55,78,69,60,56,81,67,59,71,80),
( 1, 3, 2, 4)( 5,38,25,30,10,36,26,32)( 6,28,23,17,11,27,24,20)
( 7,15,22,43,12,18,21,44)( 8,42,39,14,13,41,40, 9)(16,34,29,35,19,33,
31,37)(45,47,46,48)(49,82,69,74,54,80,70,76)(50,72,67,61,55,71,68,64)
(51,59,66,87,56,62,65,88)(52,86,83,58,57,85,84,53)(60,78,73,79,63,77,
75,81), ( 1,45)( 2,46)( 3,47)( 4,48)( 5,49)( 6,50)( 7,51)( 8,52)
( 9,53)(10,54)(11,55)(12,56)(13,57)(14,58)(15,59)(16,60)(17,61)(18,62)
(19,63)(20,64)(21,65)(22,66)(23,67)(24,68)(25,69)(26,70)(27,71)(28,72)
(29,73)(30,74)(31,75)(32,76)(33,77)(34,78)(35,79)(36,80)(37,81)(38,82)
(39,83)(40,84)(41,85)(42,86)(43,87)(44,88) ],
[ ( 5, 6, 18, 26, 22, 9, 15, 8, 25, 13, 17, 14, 7, 28, 12, 16, 24, 19,
27, 23)( 10, 21, 20, 11)( 29, 39, 44, 42, 51, 33, 38, 35, 32, 50, 41,
48, 34, 31, 49, 40, 30, 45, 43, 52)( 36, 47, 46, 37)( 57, 58, 70, 78,
74, 61, 67, 60, 77, 65, 69, 66, 59, 80, 64, 68, 76, 71, 79, 75)
( 62, 73, 72, 63)( 81, 91, 96, 94,103, 85, 90, 87, 84,102, 93,100, 86,
83,101, 92, 82, 97, 95,104)( 88, 99, 98, 89),
( 1, 3, 2, 4)( 5, 31)( 6, 36)( 7, 35)( 8, 44)( 9, 43)( 10, 40)
( 11, 41)( 12, 49)( 13, 50)( 14, 46)( 15, 47)( 16, 32)( 17, 42)
( 18, 45)( 19, 34)( 20, 33)( 21, 29)( 22, 51)( 23, 52)( 24, 37)
( 25, 38)( 26, 39)( 27, 30)( 28, 48)( 53, 55, 54, 56)( 57, 94)( 58, 98)
( 59, 97)( 60, 86)( 61, 84)( 62, 85)( 63, 81)( 64,103)( 65,104)
( 66, 88)( 67, 89)( 68, 95)( 69, 83)( 70, 87)( 71, 96)( 72, 92)
( 73, 93)( 74,101)( 75,102)( 76, 99)( 77, 82)( 78,100)( 79, 90)
( 80, 91), ( 1, 53)( 2, 54)( 3, 55)( 4, 56)( 5, 57)( 6, 58)
( 7, 59)( 8, 60)( 9, 61)( 10, 62)( 11, 63)( 12, 64)( 13, 65)
( 14, 66)( 15, 67)( 16, 68)( 17, 69)( 18, 70)( 19, 71)( 20, 72)
( 21, 73)( 22, 74)( 23, 75)( 24, 76)( 25, 77)( 26, 78)( 27, 79)
( 28, 80)( 29, 81)( 30, 82)( 31, 83)( 32, 84)( 33, 85)( 34, 86)
( 35, 87)( 36, 88)( 37, 89)( 38, 90)( 39, 91)( 40, 92)( 41, 93)
( 42, 94)( 43, 95)( 44, 96)( 45, 97)( 46, 98)( 47, 99)( 48,100)
( 49,101)( 50,102)( 51,103)( 52,104) ],
[ ( 5, 6, 18, 26, 22, 9, 15, 8, 25, 13, 17, 14, 7, 28, 12, 16, 24, 19,
27, 23)( 10, 21, 20, 11)( 29, 39, 44, 42, 51, 33, 38, 35, 32, 50, 41,
48, 34, 31, 49, 40, 30, 45, 43, 52)( 36, 47, 46, 37)( 57, 67, 78, 75,
73, 68, 58, 79, 64, 62, 69, 76, 80, 65, 63, 61, 66, 77, 74, 72)
( 59, 60, 70, 71)( 81, 97, 83, 88,102, 92, 86, 84, 89,103, 93, 87, 94,
98,104, 85, 96, 95, 99,101)( 82,100, 90, 91),
( 1, 3, 2, 4)( 5, 31)( 6, 36)( 7, 35)( 8, 44)( 9, 43)( 10, 40)
( 11, 41)( 12, 49)( 13, 50)( 14, 46)( 15, 47)( 16, 32)( 17, 42)
( 18, 45)( 19, 34)( 20, 33)( 21, 29)( 22, 51)( 23, 52)( 24, 37)
( 25, 38)( 26, 39)( 27, 30)( 28, 48)( 53, 55, 54, 56)( 57, 98)( 58, 97)
( 59, 94)( 60, 95)( 61, 89)( 62,103)( 63,104)( 64, 82)( 65,100)
( 66, 87)( 67, 96)( 68, 99)( 69, 88)( 70, 83)( 71, 84)( 72,101)
( 73,102)( 74, 90)( 75, 91)( 76, 86)( 77, 85)( 78, 81)( 79, 92)
( 80, 93), ( 1, 53, 2, 54)( 3, 55, 4, 56)( 5, 57)( 6, 58)
( 7, 59)( 8, 60)( 9, 61)( 10, 62)( 11, 63)( 12, 64)( 13, 65)
( 14, 66)( 15, 67)( 16, 68)( 17, 69)( 18, 70)( 19, 71)( 20, 72)
( 21, 73)( 22, 74)( 23, 75)( 24, 76)( 25, 77)( 26, 78)( 27, 79)
( 28, 80)( 29, 81)( 30, 82)( 31, 83)( 32, 84)( 33, 85)( 34, 86)
( 35, 87)( 36, 88)( 37, 89)( 38, 90)( 39, 91)( 40, 92)( 41, 93)
( 42, 94)( 43, 95)( 44, 96)( 45, 97)( 46, 98)( 47, 99)( 48,100)
( 49,101)( 50,102)( 51,103)( 52,104) ],
[ ( 5, 6, 18, 26, 22, 9, 15, 8, 25, 13, 17, 14, 7, 28, 12, 16, 24, 19,
27, 23)( 10, 21, 20, 11)( 29, 39, 44, 42, 51, 33, 38, 35, 32, 50, 41,
48, 34, 31, 49, 40, 30, 45, 43, 52)( 36, 47, 46, 37)( 57, 67, 78, 75,
73, 68, 58, 79, 64, 62, 69, 76, 80, 65, 63, 61, 66, 77, 74, 72)
( 59, 60, 70, 71)( 81, 97, 83, 88,102, 92, 86, 84, 89,103, 93, 87, 94,
98,104, 85, 96, 95, 99,101)( 82,100, 90, 91),
( 1, 3, 2, 4)( 5, 31)( 6, 36)( 7, 35)( 8, 44)( 9, 43)( 10, 40)
( 11, 41)( 12, 49)( 13, 50)( 14, 46)( 15, 47)( 16, 32)( 17, 42)
( 18, 45)( 19, 34)( 20, 33)( 21, 29)( 22, 51)( 23, 52)( 24, 37)
( 25, 38)( 26, 39)( 27, 30)( 28, 48)( 53, 55, 54, 56)( 57, 98)( 58, 97)
( 59, 94)( 60, 95)( 61, 89)( 62,103)( 63,104)( 64, 82)( 65,100)
( 66, 87)( 67, 96)( 68, 99)( 69, 88)( 70, 83)( 71, 84)( 72,101)
( 73,102)( 74, 90)( 75, 91)( 76, 86)( 77, 85)( 78, 81)( 79, 92)
( 80, 93), ( 1, 53, 2, 54)( 3, 55, 4, 56)( 5, 57, 17, 69)
( 6, 58, 14, 66)( 7, 59, 18, 70)( 8, 60, 19, 71)( 9, 61, 16, 68)
( 10, 62, 20, 72)( 11, 63, 21, 73)( 12, 64, 22, 74)( 13, 65, 23, 75)
( 15, 67, 24, 76)( 25, 77, 27, 79)( 26, 78, 28, 80)( 29, 81, 41, 93)
( 30, 82, 38, 90)( 31, 83, 42, 94)( 32, 84, 43, 95)( 33, 85, 40, 92)
( 34, 86, 44, 96)( 35, 87, 45, 97)( 36, 88, 46, 98)( 37, 89, 47, 99)
( 39, 91, 48,100)( 49,101, 51,103)( 50,102, 52,104) ],
[ ( 3,12,17, 6,19,25, 7,22,23,14, 9,15, 4,11,18, 5,20,26, 8,21,24,13,10,16)
(29,38,43,32,45,51,33,48,49,40,35,41,30,37,44,31,46,52,34,47,50,39,36,
42), ( 1, 2)( 3,15,22, 5,24, 8,25,12,14,18, 4,16,21, 6,23, 7,26,11,13,
17)( 9,19,10,20)(27,28)(29,41,48,31,50,34,51,38,40,44,30,42,47,32,49,
33,52,37,39,43)(35,45,36,46), ( 1,27)( 2,28)( 3,29)( 4,30)( 5,31)
( 6,32)( 7,33)( 8,34)( 9,35)(10,36)(11,37)(12,38)(13,39)(14,40)(15,41)
(16,42)(17,43)(18,44)(19,45)(20,46)(21,47)(22,48)(23,49)(24,50)(25,51)
(26,52) ],
[ ( 3,12,17, 6,19,25, 7,22,23,14, 9,15, 4,11,18, 5,20,26, 8,21,24,13,10,16)
(29,37,43,31,45,52,33,47,49,39,35,42,30,38,44,32,46,51,34,48,50,40,36,
41), ( 1, 2)( 3,15,22, 5,24, 8,25,12,14,18, 4,16,21, 6,23, 7,26,11,13,
17)( 9,19,10,20)(27,28)(29,41,48,31,50,34,51,38,40,44,30,42,47,32,49,
33,52,37,39,43)(35,45,36,46), ( 1,27)( 2,28)( 3,29)( 4,30)( 5,31)
( 6,32)( 7,33)( 8,34)( 9,35)(10,36)(11,37)(12,38)(13,39)(14,40)(15,41)
(16,42)(17,43)(18,44)(19,45)(20,46)(21,47)(22,48)(23,49)(24,50)(25,51)
(26,52) ],
[ ( 3,12,17, 6,19,25, 7,22,23,14, 9,15, 4,11,18, 5,20,26, 8,21,24,13,10,16)
(29,38,43,32,45,51,33,48,49,40,35,41,30,37,44,31,46,52,34,47,50,39,36,
42), ( 1, 2)( 3,15,22, 5,24, 8,25,12,14,18, 4,16,21, 6,23, 7,26,11,13,
17)( 9,19,10,20)(27,28)(29,42,48,32,50,33,51,37,40,43,30,41,47,31,49,
34,52,38,39,44)(35,46,36,45), ( 1,27)( 2,28)( 3,29)( 4,30)( 5,31)
( 6,32)( 7,33)( 8,34)( 9,35)(10,36)(11,37)(12,38)(13,39)(14,40)(15,41)
(16,42)(17,43)(18,44)(19,45)(20,46)(21,47)(22,48)(23,49)(24,50)(25,51)
(26,52) ],
[ ( 1, 2,35,16,22,18,11,37)( 3, 4, 8, 6,23,24,34,33)( 5,32,36,31,20,10,27,
9)( 7,25,15,29,19,12,38,26)(13,40,21,39,14,28,30,17)(45,46,79,60,66,
62,55,81)(47,48,52,50,67,68,78,77)(49,76,80,75,64,54,71,53)
(51,69,59,73,63,56,82,70)(57,84,65,83,58,72,74,61),
( 1,28,14,37,26,22,40,13,16,29)( 2,10,35,34, 4,18,32,11, 8,24)
( 3,25,33,27,20,23,12, 6,36, 5)( 7,38,39,31,30,19,15,17, 9,21)
(41,43,42,44)(45,72,58,81,70,66,84,57,60,73)(46,54,79,78,48,62,76,55,
52,68)(47,69,77,71,64,67,56,50,80,49)(51,82,83,75,74,63,59,61,53,65)
(85,87,86,88), ( 1,45)( 2,46)( 3,47)( 4,48)( 5,49)( 6,50)( 7,51)( 8,52)
( 9,53)(10,54)(11,55)(12,56)(13,57)(14,58)(15,59)(16,60)(17,61)(18,62)
(19,63)(20,64)(21,65)(22,66)(23,67)(24,68)(25,69)(26,70)(27,71)(28,72)
(29,73)(30,74)(31,75)(32,76)(33,77)(34,78)(35,79)(36,80)(37,81)(38,82)
(39,83)(40,84)(41,85)(42,86)(43,87)(44,88) ],
[ ( 1, 5, 18)( 2, 10, 24)( 3, 15, 6)( 4, 20, 12)( 7, 8, 23)
( 9, 13, 14)( 11, 19, 16)( 17, 21, 22)( 25, 29, 42)( 26, 34, 48)
( 27, 39, 30)( 28, 44, 36)( 31, 32, 47)( 33, 37, 38)( 35, 43, 40)
( 41, 45, 46)( 49, 51, 50, 52)( 53, 57, 70)( 54, 62, 76)( 55, 67, 58)
( 56, 72, 64)( 59, 60, 75)( 61, 65, 66)( 63, 71, 68)( 69, 73, 74)
( 77, 81, 94)( 78, 86,100)( 79, 91, 82)( 80, 96, 88)( 83, 84, 99)
( 85, 89, 90)( 87, 95, 92)( 93, 97, 98)(101,103,102,104),
( 1, 44, 23, 31, 24, 46, 3, 34, 11, 43, 12, 38)( 2, 29, 9, 37, 6,
32, 4, 39, 17, 45, 18, 40)( 5, 47, 13, 48, 8, 27, 15, 35, 21, 36,
16, 25)( 7, 42, 22, 26, 10, 33, 19, 30, 14, 28, 20, 41)
( 53, 96, 75, 83, 76, 98, 55, 86, 63, 95, 64, 90)( 54, 81, 61, 89, 58,
84, 56, 91, 69, 97, 70, 92)( 57, 99, 65,100, 60, 79, 67, 87, 73, 88,
68, 77)( 59, 94, 74, 78, 62, 85, 71, 82, 66, 80, 72, 93),
( 1, 53)( 2, 54)( 3, 55)( 4, 56)( 5, 57)( 6, 58)( 7, 59)( 8, 60)
( 9, 61)( 10, 62)( 11, 63)( 12, 64)( 13, 65)( 14, 66)( 15, 67)
( 16, 68)( 17, 69)( 18, 70)( 19, 71)( 20, 72)( 21, 73)( 22, 74)
( 23, 75)( 24, 76)( 25, 77)( 26, 78)( 27, 79)( 28, 80)( 29, 81)
( 30, 82)( 31, 83)( 32, 84)( 33, 85)( 34, 86)( 35, 87)( 36, 88)
( 37, 89)( 38, 90)( 39, 91)( 40, 92)( 41, 93)( 42, 94)( 43, 95)
( 44, 96)( 45, 97)( 46, 98)( 47, 99)( 48,100)( 49,101)( 50,102)
( 51,103)( 52,104) ],
[ ( 1, 5, 18)( 2, 10, 24)( 3, 15, 6)( 4, 20, 12)( 7, 8, 23)
( 9, 13, 14)( 11, 19, 16)( 17, 21, 22)( 25, 29, 42)( 26, 34, 48)
( 27, 39, 30)( 28, 44, 36)( 31, 32, 47)( 33, 37, 38)( 35, 43, 40)
( 41, 45, 46)( 49, 51, 50, 52)( 53, 57, 70)( 54, 62, 76)( 55, 67, 58)
( 56, 72, 64)( 59, 60, 75)( 61, 65, 66)( 63, 71, 68)( 69, 73, 74)
( 77, 81, 94)( 78, 86,100)( 79, 91, 82)( 80, 96, 88)( 83, 84, 99)
( 85, 89, 90)( 87, 95, 92)( 93, 97, 98)(101,103,102,104),
( 1, 44, 23, 31, 24, 46, 3, 34, 11, 43, 12, 38)( 2, 29, 9, 37, 6,
32, 4, 39, 17, 45, 18, 40)( 5, 47, 13, 48, 8, 27, 15, 35, 21, 36,
16, 25)( 7, 42, 22, 26, 10, 33, 19, 30, 14, 28, 20, 41)
( 53, 96, 75, 83, 76, 98, 55, 86, 63, 95, 64, 90)( 54, 81, 61, 89, 58,
84, 56, 91, 69, 97, 70, 92)( 57, 99, 65,100, 60, 79, 67, 87, 73, 88,
68, 77)( 59, 94, 74, 78, 62, 85, 71, 82, 66, 80, 72, 93),
( 1, 53, 3, 55)( 2, 54, 4, 56)( 5, 57, 15, 67)( 6, 58, 18, 70)
( 7, 59, 19, 71)( 8, 60, 16, 68)( 9, 61, 17, 69)( 10, 62, 20, 72)
( 11, 63, 23, 75)( 12, 64, 24, 76)( 13, 65, 21, 73)( 14, 66, 22, 74)
( 25, 77, 27, 79)( 26, 78, 28, 80)( 29, 81, 39, 91)( 30, 82, 42, 94)
( 31, 83, 43, 95)( 32, 84, 40, 92)( 33, 85, 41, 93)( 34, 86, 44, 96)
( 35, 87, 47, 99)( 36, 88, 48,100)( 37, 89, 45, 97)( 38, 90, 46, 98)
( 49,101)( 50,102)( 51,103)( 52,104) ],
[ ( 1, 4, 2, 3)( 5,23,30, 9,28, 7,22,32,11,25, 6,24,29,10,27, 8,21,31,12,26
)(13,20,37,44,36,15,17,39,41,33,14,19,38,43,35,16,18,40,42,34)
(45,48,46,47)(49,67,74,53,72,51,66,76,55,69,50,68,73,54,71,52,65,75,56,
70)(57,64,81,88,80,59,61,83,85,77,58,63,82,87,79,60,62,84,86,78),
( 1, 4, 2, 3)( 5,33,12,26, 6,34,11,25)( 7,36, 9,27, 8,35,10,28)
(13,42,24,31,14,41,23,32)(15,43,21,29,16,44,22,30)(17,40,20,37,18,39,
19,38)(45,48,46,47)(49,77,56,70,50,78,55,69)(51,80,53,71,52,79,54,72)
(57,86,68,75,58,85,67,76)(59,87,65,73,60,88,66,74)(61,84,64,81,62,83,
63,82), ( 1,45)( 2,46)( 3,47)( 4,48)( 5,49)( 6,50)( 7,51)( 8,52)
( 9,53)(10,54)(11,55)(12,56)(13,57)(14,58)(15,59)(16,60)(17,61)(18,62)
(19,63)(20,64)(21,65)(22,66)(23,67)(24,68)(25,69)(26,70)(27,71)(28,72)
(29,73)(30,74)(31,75)(32,76)(33,77)(34,78)(35,79)(36,80)(37,81)(38,82)
(39,83)(40,84)(41,85)(42,86)(43,87)(44,88) ],
[ ( 5, 40, 13, 30, 34, 51, 6, 39, 14, 29, 33, 52)( 7, 37, 15, 32, 36,
50, 8, 38, 16, 31, 35, 49)( 9, 47, 23, 18, 27, 41, 10, 48, 24, 17,
28, 42)( 11, 46, 22, 20, 26, 43, 12, 45, 21, 19, 25, 44)
( 57, 92, 65, 82, 86,103, 58, 91, 66, 81, 85,104)( 59, 89, 67, 84, 88,
102, 60, 90, 68, 83, 87,101)( 61, 99, 75, 70, 79, 93, 62,100, 76, 69,
80, 94)( 63, 98, 74, 72, 78, 95, 64, 97, 73, 71, 77, 96),
( 1, 3, 2, 4)( 5, 31, 36, 44, 28, 51, 6, 32, 35, 43, 27, 52)
( 7, 30, 33, 41, 25, 50, 8, 29, 34, 42, 26, 49)( 9, 47, 16, 40, 22,
19, 10, 48, 15, 39, 21, 20)( 11, 46, 13, 37, 24, 18, 12, 45, 14, 38,
23, 17)( 53, 55, 54, 56)( 57, 83, 88, 96, 80,103, 58, 84, 87, 95, 79,
104)( 59, 82, 85, 93, 77,102, 60, 81, 86, 94, 78,101)( 61, 99, 68, 92,
74, 71, 62,100, 67, 91, 73, 72)( 63, 98, 65, 89, 76, 70, 64, 97, 66,
90, 75, 69), ( 1, 53)( 2, 54)( 3, 55)( 4, 56)( 5, 57)( 6, 58)
( 7, 59)( 8, 60)( 9, 61)( 10, 62)( 11, 63)( 12, 64)( 13, 65)
( 14, 66)( 15, 67)( 16, 68)( 17, 69)( 18, 70)( 19, 71)( 20, 72)
( 21, 73)( 22, 74)( 23, 75)( 24, 76)( 25, 77)( 26, 78)( 27, 79)
( 28, 80)( 29, 81)( 30, 82)( 31, 83)( 32, 84)( 33, 85)( 34, 86)
( 35, 87)( 36, 88)( 37, 89)( 38, 90)( 39, 91)( 40, 92)( 41, 93)
( 42, 94)( 43, 95)( 44, 96)( 45, 97)( 46, 98)( 47, 99)( 48,100)
( 49,101)( 50,102)( 51,103)( 52,104) ],
[ ( 1, 4, 2, 3)( 5,23,30, 9,28, 7,22,32,11,25, 6,24,29,10,27, 8,21,31,12,26
)(13,20,37,44,36,15,17,39,41,33,14,19,38,43,35,16,18,40,42,34)
(45,48,46,47)(49,67,74,53,72,51,66,76,55,69,50,68,73,54,71,52,65,75,56,
70)(57,64,81,88,80,59,61,83,85,77,58,63,82,87,79,60,62,84,86,78),
( 1, 4, 2, 3)( 5,33,12,26, 6,34,11,25)( 7,36, 9,27, 8,35,10,28)
(13,42,24,31,14,41,23,32)(15,43,21,29,16,44,22,30)(17,40,20,37,18,39,
19,38)(45,48,46,47)(49,77,56,70,50,78,55,69)(51,80,53,71,52,79,54,72)
(57,86,68,75,58,85,67,76)(59,87,65,73,60,88,66,74)(61,84,64,81,62,83,
63,82), ( 1,45)( 2,46)( 3,47)( 4,48)( 5,49, 6,50)( 7,51, 8,52)
( 9,53,10,54)(11,55,12,56)(13,57,14,58)(15,59,16,60)(17,61,18,62)
(19,63,20,64)(21,65,22,66)(23,67,24,68)(25,69,26,70)(27,71,28,72)
(29,73,30,74)(31,75,32,76)(33,77,34,78)(35,79,36,80)(37,81,38,82)
(39,83,40,84)(41,85,42,86)(43,87,44,88) ],
[ ( 1, 2,35,16,22,18,11,37)( 3, 4, 8, 6,23,24,34,33)( 5,32,36,31,20,10,27,
9)( 7,25,15,29,19,12,38,26)(13,40,21,39,14,28,30,17)(45,54,65,52,66,
76,74,78)(46,48,75,63,62,68,53,51)(47,82,61,64,67,59,83,49)
(50,72,79,73,77,84,55,70)(56,71,60,57,69,80,81,58),
( 1,28,14,37,26,22,40,13,16,29)( 2,10,35,34, 4,18,32,11, 8,24)
( 3,25,33,27,20,23,12, 6,36, 5)( 7,38,39,31,30,19,15,17, 9,21)
(41,43,42,44)(45,46,84,51,74,66,62,72,63,65)(47,76,82,53,48,67,54,59,
75,68)(49,56,58,83,73,64,69,57,61,70)(50,55,60,78,80,77,79,81,52,71)
(85,87,86,88), ( 1,45)( 2,46)( 3,47)( 4,48)( 5,49)( 6,50)( 7,51)( 8,52)
( 9,53)(10,54)(11,55)(12,56)(13,57)(14,58)(15,59)(16,60)(17,61)(18,62)
(19,63)(20,64)(21,65)(22,66)(23,67)(24,68)(25,69)(26,70)(27,71)(28,72)
(29,73)(30,74)(31,75)(32,76)(33,77)(34,78)(35,79)(36,80)(37,81)(38,82)
(39,83)(40,84)(41,85)(42,86)(43,87)(44,88) ],
[ ( 1, 5, 18)( 2, 10, 24)( 3, 15, 6)( 4, 20, 12)( 7, 8, 23)
( 9, 13, 14)( 11, 19, 16)( 17, 21, 22)( 25, 29, 42)( 26, 34, 48)
( 27, 39, 30)( 28, 44, 36)( 31, 32, 47)( 33, 37, 38)( 35, 43, 40)
( 41, 45, 46)( 49, 51, 50, 52)( 53, 57, 70)( 54, 62, 76)( 55, 67, 58)
( 56, 72, 64)( 59, 60, 75)( 61, 65, 66)( 63, 71, 68)( 69, 73, 74)
( 77, 81, 94)( 78, 86,100)( 79, 91, 82)( 80, 96, 88)( 83, 84, 99)
( 85, 89, 90)( 87, 95, 92)( 93, 97, 98)(101,103,102,104),
( 1, 44, 23, 31, 24, 46, 3, 34, 11, 43, 12, 38)( 2, 29, 9, 37, 6,
32, 4, 39, 17, 45, 18, 40)( 5, 47, 13, 48, 8, 27, 15, 35, 21, 36,
16, 25)( 7, 42, 22, 26, 10, 33, 19, 30, 14, 28, 20, 41)
( 53, 86, 75, 95, 76, 90, 55, 96, 63, 83, 64, 98)( 54, 91, 61, 97, 58,
92, 56, 81, 69, 89, 70, 84)( 57, 87, 65, 88, 60, 77, 67, 99, 73,100,
68, 79)( 59, 82, 74, 80, 62, 93, 71, 94, 66, 78, 72, 85),
( 1, 53)( 2, 54)( 3, 55)( 4, 56)( 5, 57)( 6, 58)( 7, 59)( 8, 60)
( 9, 61)( 10, 62)( 11, 63)( 12, 64)( 13, 65)( 14, 66)( 15, 67)
( 16, 68)( 17, 69)( 18, 70)( 19, 71)( 20, 72)( 21, 73)( 22, 74)
( 23, 75)( 24, 76)( 25, 77)( 26, 78)( 27, 79)( 28, 80)( 29, 81)
( 30, 82)( 31, 83)( 32, 84)( 33, 85)( 34, 86)( 35, 87)( 36, 88)
( 37, 89)( 38, 90)( 39, 91)( 40, 92)( 41, 93)( 42, 94)( 43, 95)
( 44, 96)( 45, 97)( 46, 98)( 47, 99)( 48,100)( 49,101)( 50,102)
( 51,103)( 52,104) ],
[ ( 1, 5, 18)( 2, 10, 24)( 3, 15, 6)( 4, 20, 12)( 7, 8, 23)
( 9, 13, 14)( 11, 19, 16)( 17, 21, 22)( 25, 29, 42)( 26, 34, 48)
( 27, 39, 30)( 28, 44, 36)( 31, 32, 47)( 33, 37, 38)( 35, 43, 40)
( 41, 45, 46)( 49, 51, 50, 52)( 53, 57, 70)( 54, 62, 76)( 55, 67, 58)
( 56, 72, 64)( 59, 60, 75)( 61, 65, 66)( 63, 71, 68)( 69, 73, 74)
( 77, 81, 94)( 78, 86,100)( 79, 91, 82)( 80, 96, 88)( 83, 84, 99)
( 85, 89, 90)( 87, 95, 92)( 93, 97, 98)(101,103,102,104),
( 1, 44, 23, 31, 24, 46, 3, 34, 11, 43, 12, 38)( 2, 29, 9, 37, 6,
32, 4, 39, 17, 45, 18, 40)( 5, 47, 13, 48, 8, 27, 15, 35, 21, 36,
16, 25)( 7, 42, 22, 26, 10, 33, 19, 30, 14, 28, 20, 41)
( 53, 86, 75, 95, 76, 90, 55, 96, 63, 83, 64, 98)( 54, 91, 61, 97, 58,
92, 56, 81, 69, 89, 70, 84)( 57, 87, 65, 88, 60, 77, 67, 99, 73,100,
68, 79)( 59, 82, 74, 80, 62, 93, 71, 94, 66, 78, 72, 85),
( 1, 53, 3, 55)( 2, 54, 4, 56)( 5, 57, 15, 67)( 6, 58, 18, 70)
( 7, 59, 19, 71)( 8, 60, 16, 68)( 9, 61, 17, 69)( 10, 62, 20, 72)
( 11, 63, 23, 75)( 12, 64, 24, 76)( 13, 65, 21, 73)( 14, 66, 22, 74)
( 25, 77, 27, 79)( 26, 78, 28, 80)( 29, 81, 39, 91)( 30, 82, 42, 94)
( 31, 83, 43, 95)( 32, 84, 40, 92)( 33, 85, 41, 93)( 34, 86, 44, 96)
( 35, 87, 47, 99)( 36, 88, 48,100)( 37, 89, 45, 97)( 38, 90, 46, 98)
( 49,101)( 50,102)( 51,103)( 52,104) ],
[ ( 1, 2,35,16,22,18,11,37)( 3, 4, 8, 6,23,24,34,33)( 5,32,36,31,20,10,27,
9)( 7,25,15,29,19,12,38,26)(13,40,21,39,14,28,30,17)(45,54,65,52,66,
76,74,78)(46,48,75,63,62,68,53,51)(47,82,61,64,67,59,83,49)
(50,72,79,73,77,84,55,70)(56,71,60,57,69,80,81,58),
( 1,28,14,37,26,22,40,13,16,29)( 2,10,35,34, 4,18,32,11, 8,24)
( 3,25,33,27,20,23,12, 6,36, 5)( 7,38,39,31,30,19,15,17, 9,21)
(41,43,42,44)(45,62,84,63,74)(46,72,51,65,66)(47,54,82,75,48)
(49,69,58,61,73)(50,79,60,52,80)(53,68,67,76,59)(55,81,78,71,77)
(56,57,83,70,64)(85,87,86,88), ( 1,45)( 2,46)( 3,47)( 4,48)( 5,49)
( 6,50)( 7,51)( 8,52)( 9,53)(10,54)(11,55)(12,56)(13,57)(14,58)(15,59)
(16,60)(17,61)(18,62)(19,63)(20,64)(21,65)(22,66)(23,67)(24,68)(25,69)
(26,70)(27,71)(28,72)(29,73)(30,74)(31,75)(32,76)(33,77)(34,78)(35,79)
(36,80)(37,81)(38,82)(39,83)(40,84)(41,85)(42,86)(43,87)(44,88) ],
[ ( 1, 5, 18)( 2, 10, 24)( 3, 15, 6)( 4, 20, 12)( 7, 8, 23)
( 9, 13, 14)( 11, 19, 16)( 17, 21, 22)( 25, 29, 42)( 26, 34, 48)
( 27, 39, 30)( 28, 44, 36)( 31, 32, 47)( 33, 37, 38)( 35, 43, 40)
( 41, 45, 46)( 49, 51, 50, 52)( 53, 67, 70, 55, 57, 58)
( 54, 72, 76, 56, 62, 64)( 59, 68, 75, 71, 60, 63)( 61, 73, 66, 69, 65,
74)( 77, 91, 94, 79, 81, 82)( 78, 96,100, 80, 86, 88)( 83, 92, 99, 95,
84, 87)( 85, 97, 90, 93, 89, 98)(101,103,102,104),
( 1, 44, 23, 31, 24, 46, 3, 34, 11, 43, 12, 38)( 2, 29, 9, 37, 6,
32, 4, 39, 17, 45, 18, 40)( 5, 47, 13, 48, 8, 27, 15, 35, 21, 36,
16, 25)( 7, 42, 22, 26, 10, 33, 19, 30, 14, 28, 20, 41)
( 53, 86, 75, 95, 76, 90, 55, 96, 63, 83, 64, 98)( 54, 91, 61, 97, 58,
92, 56, 81, 69, 89, 70, 84)( 57, 87, 65, 88, 60, 77, 67, 99, 73,100,
68, 79)( 59, 82, 74, 80, 62, 93, 71, 94, 66, 78, 72, 85),
( 1, 53)( 2, 54)( 3, 55)( 4, 56)( 5, 57)( 6, 58)( 7, 59)( 8, 60)
( 9, 61)( 10, 62)( 11, 63)( 12, 64)( 13, 65)( 14, 66)( 15, 67)
( 16, 68)( 17, 69)( 18, 70)( 19, 71)( 20, 72)( 21, 73)( 22, 74)
( 23, 75)( 24, 76)( 25, 77)( 26, 78)( 27, 79)( 28, 80)( 29, 81)
( 30, 82)( 31, 83)( 32, 84)( 33, 85)( 34, 86)( 35, 87)( 36, 88)
( 37, 89)( 38, 90)( 39, 91)( 40, 92)( 41, 93)( 42, 94)( 43, 95)
( 44, 96)( 45, 97)( 46, 98)( 47, 99)( 48,100)( 49,101)( 50,102)
( 51,103)( 52,104) ],
[ ( 1, 5, 18)( 2, 10, 24)( 3, 15, 6)( 4, 20, 12)( 7, 8, 23)
( 9, 13, 14)( 11, 19, 16)( 17, 21, 22)( 25, 29, 42)( 26, 34, 48)
( 27, 39, 30)( 28, 44, 36)( 31, 32, 47)( 33, 37, 38)( 35, 43, 40)
( 41, 45, 46)( 49, 51, 50, 52)( 53, 67, 70, 55, 57, 58)
( 54, 72, 76, 56, 62, 64)( 59, 68, 75, 71, 60, 63)( 61, 73, 66, 69, 65,
74)( 77, 91, 94, 79, 81, 82)( 78, 96,100, 80, 86, 88)( 83, 92, 99, 95,
84, 87)( 85, 97, 90, 93, 89, 98)(101,103,102,104),
( 1, 44, 23, 31, 24, 46, 3, 34, 11, 43, 12, 38)( 2, 29, 9, 37, 6,
32, 4, 39, 17, 45, 18, 40)( 5, 47, 13, 48, 8, 27, 15, 35, 21, 36,
16, 25)( 7, 42, 22, 26, 10, 33, 19, 30, 14, 28, 20, 41)
( 53, 86, 75, 95, 76, 90, 55, 96, 63, 83, 64, 98)( 54, 91, 61, 97, 58,
92, 56, 81, 69, 89, 70, 84)( 57, 87, 65, 88, 60, 77, 67, 99, 73,100,
68, 79)( 59, 82, 74, 80, 62, 93, 71, 94, 66, 78, 72, 85),
( 1, 53, 3, 55)( 2, 54, 4, 56)( 5, 57, 15, 67)( 6, 58, 18, 70)
( 7, 59, 19, 71)( 8, 60, 16, 68)( 9, 61, 17, 69)( 10, 62, 20, 72)
( 11, 63, 23, 75)( 12, 64, 24, 76)( 13, 65, 21, 73)( 14, 66, 22, 74)
( 25, 77, 27, 79)( 26, 78, 28, 80)( 29, 81, 39, 91)( 30, 82, 42, 94)
( 31, 83, 43, 95)( 32, 84, 40, 92)( 33, 85, 41, 93)( 34, 86, 44, 96)
( 35, 87, 47, 99)( 36, 88, 48,100)( 37, 89, 45, 97)( 38, 90, 46, 98)
( 49,101)( 50,102)( 51,103)( 52,104) ],
[ ( 1, 2,35,16,22,18,11,37)( 3, 4, 8, 6,23,24,34,33)( 5,32,36,31,20,10,27,
9)( 7,25,15,29,19,12,38,26)(13,40,21,39,14,28,30,17)(45,46,79,60,66,
62,55,81)(47,48,52,50,67,68,78,77)(49,76,80,75,64,54,71,53)
(51,69,59,73,63,56,82,70)(57,84,65,83,58,72,74,61),
( 1,28,14,37,26,22,40,13,16,29)( 2,10,35,34, 4,18,32,11, 8,24)
( 3,25,33,27,20,23,12, 6,36, 5)( 7,38,39,31,30,19,15,17, 9,21)
(41,43,42,44)(45,84,58,60,70)(46,76,79,52,48)(47,56,77,80,64)
(49,67,69,50,71)(51,59,83,53,74)(54,55,78,68,62)(57,81,73,66,72)
(61,75,65,63,82)(85,87,86,88), ( 1,45)( 2,46)( 3,47)( 4,48)( 5,49)
( 6,50)( 7,51)( 8,52)( 9,53)(10,54)(11,55)(12,56)(13,57)(14,58)(15,59)
(16,60)(17,61)(18,62)(19,63)(20,64)(21,65)(22,66)(23,67)(24,68)(25,69)
(26,70)(27,71)(28,72)(29,73)(30,74)(31,75)(32,76)(33,77)(34,78)(35,79)
(36,80)(37,81)(38,82)(39,83)(40,84)(41,85)(42,86)(43,87)(44,88) ],
[ ( 1, 5, 18)( 2, 10, 24)( 3, 15, 6)( 4, 20, 12)( 7, 8, 23)
( 9, 13, 14)( 11, 19, 16)( 17, 21, 22)( 25, 29, 42)( 26, 34, 48)
( 27, 39, 30)( 28, 44, 36)( 31, 32, 47)( 33, 37, 38)( 35, 43, 40)
( 41, 45, 46)( 49, 51, 50, 52)( 53, 67, 70, 55, 57, 58)
( 54, 72, 76, 56, 62, 64)( 59, 68, 75, 71, 60, 63)( 61, 73, 66, 69, 65,
74)( 77, 91, 94, 79, 81, 82)( 78, 96,100, 80, 86, 88)( 83, 92, 99, 95,
84, 87)( 85, 97, 90, 93, 89, 98)(101,103,102,104),
( 1, 44, 23, 31, 24, 46, 3, 34, 11, 43, 12, 38)( 2, 29, 9, 37, 6,
32, 4, 39, 17, 45, 18, 40)( 5, 47, 13, 48, 8, 27, 15, 35, 21, 36,
16, 25)( 7, 42, 22, 26, 10, 33, 19, 30, 14, 28, 20, 41)
( 53, 96, 75, 83, 76, 98, 55, 86, 63, 95, 64, 90)( 54, 81, 61, 89, 58,
84, 56, 91, 69, 97, 70, 92)( 57, 99, 65,100, 60, 79, 67, 87, 73, 88,
68, 77)( 59, 94, 74, 78, 62, 85, 71, 82, 66, 80, 72, 93),
( 1, 53)( 2, 54)( 3, 55)( 4, 56)( 5, 57)( 6, 58)( 7, 59)( 8, 60)
( 9, 61)( 10, 62)( 11, 63)( 12, 64)( 13, 65)( 14, 66)( 15, 67)
( 16, 68)( 17, 69)( 18, 70)( 19, 71)( 20, 72)( 21, 73)( 22, 74)
( 23, 75)( 24, 76)( 25, 77)( 26, 78)( 27, 79)( 28, 80)( 29, 81)
( 30, 82)( 31, 83)( 32, 84)( 33, 85)( 34, 86)( 35, 87)( 36, 88)
( 37, 89)( 38, 90)( 39, 91)( 40, 92)( 41, 93)( 42, 94)( 43, 95)
( 44, 96)( 45, 97)( 46, 98)( 47, 99)( 48,100)( 49,101)( 50,102)
( 51,103)( 52,104) ],
[ ( 1, 5, 18)( 2, 10, 24)( 3, 15, 6)( 4, 20, 12)( 7, 8, 23)
( 9, 13, 14)( 11, 19, 16)( 17, 21, 22)( 25, 29, 42)( 26, 34, 48)
( 27, 39, 30)( 28, 44, 36)( 31, 32, 47)( 33, 37, 38)( 35, 43, 40)
( 41, 45, 46)( 49, 51, 50, 52)( 53, 67, 70, 55, 57, 58)
( 54, 72, 76, 56, 62, 64)( 59, 68, 75, 71, 60, 63)( 61, 73, 66, 69, 65,
74)( 77, 91, 94, 79, 81, 82)( 78, 96,100, 80, 86, 88)( 83, 92, 99, 95,
84, 87)( 85, 97, 90, 93, 89, 98)(101,103,102,104),
( 1, 44, 23, 31, 24, 46, 3, 34, 11, 43, 12, 38)( 2, 29, 9, 37, 6,
32, 4, 39, 17, 45, 18, 40)( 5, 47, 13, 48, 8, 27, 15, 35, 21, 36,
16, 25)( 7, 42, 22, 26, 10, 33, 19, 30, 14, 28, 20, 41)
( 53, 96, 75, 83, 76, 98, 55, 86, 63, 95, 64, 90)( 54, 81, 61, 89, 58,
84, 56, 91, 69, 97, 70, 92)( 57, 99, 65,100, 60, 79, 67, 87, 73, 88,
68, 77)( 59, 94, 74, 78, 62, 85, 71, 82, 66, 80, 72, 93),
( 1, 53, 3, 55)( 2, 54, 4, 56)( 5, 57, 15, 67)( 6, 58, 18, 70)
( 7, 59, 19, 71)( 8, 60, 16, 68)( 9, 61, 17, 69)( 10, 62, 20, 72)
( 11, 63, 23, 75)( 12, 64, 24, 76)( 13, 65, 21, 73)( 14, 66, 22, 74)
( 25, 77, 27, 79)( 26, 78, 28, 80)( 29, 81, 39, 91)( 30, 82, 42, 94)
( 31, 83, 43, 95)( 32, 84, 40, 92)( 33, 85, 41, 93)( 34, 86, 44, 96)
( 35, 87, 47, 99)( 36, 88, 48,100)( 37, 89, 45, 97)( 38, 90, 46, 98)
( 49,101)( 50,102)( 51,103)( 52,104) ],
[ ( 1, 2,35,16,22,18,11,37)( 3, 4, 8, 6,23,24,34,33)( 5,32,36,31,20,10,27,
9)( 7,25,15,29,19,12,38,26)(13,40,21,39,14,28,30,17)(45,46,79,60,66,
62,55,81)(47,48,52,50,67,68,78,77)(49,76,80,75,64,54,71,53)
(51,69,59,73,63,56,82,70)(57,84,65,83,58,72,74,61),
( 1,28,14,37,26,22,40,13,16,29)( 2,10,35,34, 4,18,32,11, 8,24)
( 3,25,33,27,20,23,12, 6,36, 5)( 7,38,39,31,30,19,15,17, 9,21)
(41,43,42,44)(45,84,58,60,70)(46,76,79,52,48)(47,56,77,80,64)
(49,67,69,50,71)(51,59,83,53,74)(54,55,78,68,62)(57,81,73,66,72)
(61,75,65,63,82)(85,87,86,88), ( 1,45)( 2,46)( 3,47)( 4,48)( 5,49)
( 6,50)( 7,51)( 8,52)( 9,53)(10,54)(11,55)(12,56)(13,57)(14,58)(15,59)
(16,60)(17,61)(18,62)(19,63)(20,64)(21,65)(22,66)(23,67)(24,68)(25,69)
(26,70)(27,71)(28,72)(29,73)(30,74)(31,75)(32,76)(33,77)(34,78)(35,79)
(36,80)(37,81)(38,82)(39,83)(40,84)(41,85,42,86)(43,87,44,88) ],
[ ( 1,11,48,46,41,22, 7, 8,42,29,30,21, 6,23,33,44,25,10, 5,17,26,28,47,24)
( 2, 3,35,45,31,27,14,15,34,40,18,20, 9,13,19,43,37,16, 4,12,38,39,32,
36)(49,59,96,94,89,70,55,56,90,77,78,69,54,71,81,92,73,58,53,65,74,76,
95,72)(50,51,83,93,79,75,62,63,82,88,66,68,57,61,67,91,85,64,52,60,86,
87,80,84), ( 1,36,29,19,47, 9,10,39,42,18, 7,27,44,38,41, 4,24,45,33,
37, 6,20,28,35,30, 2,22,40,26,32, 5,16,46,34,25,14,21,43,48,31)
( 3, 8,15,23,13,17,12,11)(49,84,77,67,95,57,58,87,90,66,55,75,92,86,89,
52,72,93,81,85,54,68,76,83,78,50,70,88,74,80,53,64,94,82,73,62,69,91,
96,79)(51,56,63,71,61,65,60,59), ( 1,73,44,96)( 2,85,43,83)( 3,51)
( 4,66,40,86)( 5,78,29,74)( 6,89,46,81)( 7,95,28,90)( 8,56)
( 9,79,45,67)(10,72,22,69)(11,59)(12,60)(13,61)(14,80,39,82)(15,63)
(16,84,27,68)(17,65)(18,88,38,52)(19,57,31,93)(20,64,36,75)
(21,58,24,70)(23,71)(25,92,48,49)(26,53,30,77)(32,87,34,62)
(33,54,41,94)(35,50,37,91)(42,55,47,76) ],
[ ( 1,20,28,26,14,37, 8,41,18,44,39,11, 2,19,27,25,13,38, 7,42,17,43,40,12)
( 3,29, 9,23,45,36,22,47,31, 5,33,15, 4,30,10,24,46,35,21,48,32, 6,34,
16)(49,68,76,74,62,85,56,89,66,92,87,59,50,67,75,73,61,86,55,90,65,91,
88,60)(51,77,57,71,93,84,70,95,79,53,81,63,52,78,58,72,94,83,69,96,80,
54,82,64), ( 1,47,28,41,22,35)( 2,48,27,42,21,36)( 3,15, 7,29,17,20)
( 4,16, 8,30,18,19)( 5,31,26,34,37,40)( 6,32,25,33,38,39)
( 9,43,46,12,13,23)(10,44,45,11,14,24)(49,95,76,89,70,83)
(50,96,75,90,69,84)(51,63,55,77,65,68)(52,64,56,78,66,67)
(53,79,74,82,85,88)(54,80,73,81,86,87)(57,91,94,60,61,71)
(58,92,93,59,62,72), ( 1,49)( 2,50)( 3,51)( 4,52)( 5,53)( 6,54)( 7,55)
( 8,56)( 9,57)(10,58)(11,59)(12,60)(13,61)(14,62)(15,63)(16,64)(17,65)
(18,66)(19,67)(20,68)(21,69)(22,70)(23,71)(24,72)(25,73)(26,74)(27,75)
(28,76)(29,77)(30,78)(31,79)(32,80)(33,81)(34,82)(35,83)(36,84)(37,85)
(38,86)(39,87)(40,88)(41,89)(42,90)(43,91)(44,92)(45,93)(46,94)(47,95)
(48,96) ],
[ ( 1, 2, 7,14, 6, 9, 5, 4)( 3,17,15,11,13, 8,12,23)(10,31,24,18,22,37,21,
32)(16,30,36,25,27,47,20,41)(19,44,38,28,35,46,34,29)(26,43,48,39,42,
45,33,40)(49,57,55,52,54,50,53,62)(51,72,63,70,61,69,60,58)
(56,84,71,75,65,68,59,64)(66,74,85,96,80,90,79,81)(67,73,86,95,83,89,
82,78)(76,87,94,93,77,88,92,91),
( 1,25,23,44,24,42, 5,30, 8,29,10,48, 6,41,11,46,21,26, 7,47,17,28,22,33)
( 2,37,13,43,36,34, 4,18,15,40,16,35, 9,31, 3,45,20,38,14,32,12,39,27,
19)(49,70,90,59,77,73,53,72,96,65,94,78,54,58,74,71,76,89,55,69,81,56,
92,95)(50,75,82,51,88,85,52,84,83,60,93,66,57,64,86,61,87,79,62,68,67,
63,91,80), ( 1,49,42,90,28,76,17,65,22,70, 6,54,26,74,29,77, 8,56,10,
58)( 2,50,34,82,39,87,12,60,27,75, 9,57,38,86,40,88,15,63,16,64)
( 3,51,20,68, 4,52,35,83,43,91,13,61,36,84,14,62,19,67,45,93)
( 5,53,48,96,44,92,23,71,24,72, 7,55,33,81,46,94,11,59,21,69)
(18,66,32,80)(25,73,41,89)(30,78,47,95)(31,79,37,85) ],
[ ( 1, 2, 7,14, 6, 9, 5, 4)( 3,42,20,47,13,26,36,30)( 8,34,10,32,17,38,22,
18)(11,35,21,37,23,19,24,31)(12,48,27,25,15,33,16,41)(28,45,44,39,29,
43,46,40)(49,57,55,52,54,50,53,62)(51,74,68,78,61,90,84,95)
(56,86,58,66,65,82,70,80)(59,67,69,79,71,83,72,85)(60,81,75,89,63,96,
64,73)(76,91,92,88,77,93,94,87),
( 1,70,30,92,26,59, 7,69,25,76,48,56, 6,58,47,94,42,71, 5,72,41,77,33,65)
( 2,75,18,91,38,51,14,68,37,87,35,63, 9,64,32,93,34,61, 4,84,31,88,19,
60)( 3,62,20,85,39,83,15,57,16,80,45,82,13,52,36,79,40,67,12,50,27,66,
43,86)( 8,54,10,95,46,90,23,53,24,89,29,81,17,49,22,78,44,74,11,55,21,
73,28,96), ( 1,91,48,75, 6,93,33,64)( 2,76,35,69, 9,77,19,72)
( 3,59,15,56,13,71,12,65)( 4,92,38,70,14,94,34,58)( 5,88,26,84, 7,87,
42,68)( 8,51,23,63,17,61,11,60)(10,62,44,82,22,52,46,86)
(16,54,43,81,27,49,45,96)(18,89,31,95,32,73,37,78)(20,55,40,90,36,53,
39,74)(21,50,29,83,24,57,28,67)(25,79,30,80,41,85,47,66) ],
[ ( 1, 2, 7,14, 6, 9, 5, 4)( 3,17,15,11,13, 8,12,23)(10,31,24,18,22,37,21,
32)(16,30,36,25,27,47,20,41)(19,44,38,28,35,46,34,29)(26,43,48,39,42,
45,33,40)(49,50,55,62,54,57,53,52)(51,69,63,58,61,72,60,70)
(56,68,71,64,65,84,59,75)(66,90,85,81,80,74,79,96)(67,89,86,78,83,73,
82,95)(76,88,94,91,77,87,92,93),
( 1,25,23,44,24,42, 5,30, 8,29,10,48, 6,41,11,46,21,26, 7,47,17,28,22,33)
( 2,37,13,43,36,34, 4,18,15,40,16,35, 9,31, 3,45,20,38,14,32,12,39,27,
19)(49,70,90,59,77,73,53,72,96,65,94,78,54,58,74,71,76,89,55,69,81,56,
92,95)(50,75,82,51,88,85,52,84,83,60,93,66,57,64,86,61,87,79,62,68,67,
63,91,80), ( 1,49,42,90,28,76,17,65,22,70, 6,54,26,74,29,77, 8,56,10,
58)( 2,50,34,82,39,87,12,60,27,75, 9,57,38,86,40,88,15,63,16,64)
( 3,51,20,68, 4,52,35,83,43,91,13,61,36,84,14,62,19,67,45,93)
( 5,53,48,96,44,92,23,71,24,72, 7,55,33,81,46,94,11,59,21,69)
(18,66,32,80)(25,73,41,89)(30,78,47,95)(31,79,37,85) ],
[ ( 1, 2)( 7,11,25, 8,12,26)( 9,13,24,10,14,23)(15,27,18,16,28,17)
(19,29,22,20,30,21)(31,32)(37,41,55,38,42,56)(39,43,54,40,44,53)
(45,57,48,46,58,47)(49,59,52,50,60,51),
( 1, 2)( 3, 4, 5, 6)( 7,21,11,27,16)( 8,22,12,28,15)( 9,18,13,29,20)
(10,17,14,30,19)(31,32)(33,34,35,36)(37,51,41,57,46)(38,52,42,58,45)
(39,48,43,59,50)(40,47,44,60,49), ( 1,31)( 2,32)( 3,33)( 4,34)( 5,35)
( 6,36)( 7,37)( 8,38)( 9,39)(10,40)(11,41)(12,42)(13,43)(14,44)(15,45)
(16,46)(17,47)(18,48)(19,49)(20,50)(21,51)(22,52)(23,53)(24,54)(25,55)
(26,56)(27,57)(28,58)(29,59)(30,60) ],
[ ( 1, 9,16, 8,20,11, 4,15,10, 3,14, 5)( 2,17,23,12,13,24, 7,22,21, 6,19,18
)(25,26)(27,28)(29,37,44,36,48,39,32,43,38,31,42,33)(30,45,51,40,41,
52,35,50,49,34,47,46)(53,54)(55,56),
( 1,15,23,19,11, 4, 9,21,13, 5)( 2, 7)( 3,20,18,22,16, 8,14,24,17,10)
( 6,12)(25,27,26,28)(29,43,51,47,39,32,37,49,41,33)(30,35)
(31,48,46,50,44,36,42,52,45,38)(34,40)(53,55,54,56),
( 1,29)( 2,30)( 3,31)( 4,32)( 5,33)( 6,34)( 7,35)( 8,36)( 9,37)(10,38)
(11,39)(12,40)(13,41)(14,42)(15,43)(16,44)(17,45)(18,46)(19,47)(20,48)
(21,49)(22,50)(23,51)(24,52)(25,53)(26,54)(27,55)(28,56) ],
[ ( 1, 3, 2, 4)( 5, 17, 6, 18)( 7, 19, 8, 20)( 9, 30, 47, 24, 49,
25, 13, 37, 44, 34, 10, 29, 48, 23, 50, 26, 14, 38, 43, 33)
( 11, 32, 45, 21, 52, 27, 15, 40, 41, 35, 12, 31, 46, 22, 51, 28, 16,
39, 42, 36)( 53, 55, 54, 56)( 57, 69, 58, 70)( 59, 71, 60, 72)
( 61, 82, 99, 76,101, 77, 65, 89, 96, 86, 62, 81,100, 75,102, 78, 66,
90, 95, 85)( 63, 84, 97, 73,104, 79, 67, 92, 93, 87, 64, 83, 98, 74,
103, 80, 68, 91, 94, 88), ( 1, 4, 2, 3)( 5, 13, 36, 20, 32, 49)
( 6, 14, 35, 19, 31, 50)( 7, 16, 34, 18, 29, 51)( 8, 15, 33, 17, 30,
52)( 9, 45, 23, 28, 38, 42)( 10, 46, 24, 27, 37, 41)( 11, 48, 21, 26,
40, 44)( 12, 47, 22, 25, 39, 43)( 53, 56, 54, 55)( 57, 65, 88, 72, 84,
101)( 58, 66, 87, 71, 83,102)( 59, 68, 86, 70, 81,103)
( 60, 67, 85, 69, 82,104)( 61, 97, 75, 80, 90, 94)( 62, 98, 76, 79, 89,
93)( 63,100, 73, 78, 92, 96)( 64, 99, 74, 77, 91, 95),
( 1, 53)( 2, 54)( 3, 55)( 4, 56)( 5, 57)( 6, 58)( 7, 59)( 8, 60)
( 9, 61)( 10, 62)( 11, 63)( 12, 64)( 13, 65)( 14, 66)( 15, 67)
( 16, 68)( 17, 69)( 18, 70)( 19, 71)( 20, 72)( 21, 73)( 22, 74)
( 23, 75)( 24, 76)( 25, 77)( 26, 78)( 27, 79)( 28, 80)( 29, 81)
( 30, 82)( 31, 83)( 32, 84)( 33, 85)( 34, 86)( 35, 87)( 36, 88)
( 37, 89)( 38, 90)( 39, 91)( 40, 92)( 41, 93)( 42, 94)( 43, 95)
( 44, 96)( 45, 97)( 46, 98)( 47, 99)( 48,100)( 49,101)( 50,102)
( 51,103)( 52,104) ],
[ ( 1, 3, 2, 4)( 5, 27)( 6, 28)( 7, 26)( 8, 25)( 9, 15)( 10, 16)
( 11, 14)( 12, 13)( 17, 48)( 18, 47)( 19, 45)( 20, 46)( 21, 44)
( 22, 43)( 23, 42)( 24, 41)( 29, 40)( 30, 39)( 31, 37)( 32, 38)
( 33, 51)( 34, 52)( 35, 49)( 36, 50)( 53, 55, 54, 56)( 57, 79)( 58, 80)
( 59, 78)( 60, 77)( 61, 67)( 62, 68)( 63, 66)( 64, 65)( 69,100)
( 70, 99)( 71, 97)( 72, 98)( 73, 96)( 74, 95)( 75, 94)( 76, 93)
( 81, 92)( 82, 91)( 83, 89)( 84, 90)( 85,103)( 86,104)( 87,101)
( 88,102), ( 1, 4, 2, 3)( 5, 34, 22, 45, 15, 18, 49, 41, 25, 40,
6, 33, 21, 46, 16, 17, 50, 42, 26, 39)( 7, 35, 24, 47, 14, 20, 52,
43, 27, 37, 8, 36, 23, 48, 13, 19, 51, 44, 28, 38)( 9, 30, 10, 29)
( 11, 32, 12, 31)( 53, 56, 54, 55)( 57, 86, 74, 97, 67, 70,101, 93, 77,
92, 58, 85, 73, 98, 68, 69,102, 94, 78, 91)( 59, 87, 76, 99, 66, 72,
104, 95, 79, 89, 60, 88, 75,100, 65, 71,103, 96, 80, 90)
( 61, 82, 62, 81)( 63, 84, 64, 83),
( 1, 53)( 2, 54)( 3, 55)( 4, 56)( 5, 57)( 6, 58)( 7, 59)( 8, 60)
( 9, 61)( 10, 62)( 11, 63)( 12, 64)( 13, 65)( 14, 66)( 15, 67)
( 16, 68)( 17, 69)( 18, 70)( 19, 71)( 20, 72)( 21, 73)( 22, 74)
( 23, 75)( 24, 76)( 25, 77)( 26, 78)( 27, 79)( 28, 80)( 29, 81)
( 30, 82)( 31, 83)( 32, 84)( 33, 85)( 34, 86)( 35, 87)( 36, 88)
( 37, 89)( 38, 90)( 39, 91)( 40, 92)( 41, 93)( 42, 94)( 43, 95)
( 44, 96)( 45, 97)( 46, 98)( 47, 99)( 48,100)( 49,101)( 50,102)
( 51,103)( 52,104) ],
[ ( 1, 9,16, 8,20,11, 4,15,10, 3,14, 5)( 2,17,23,12,13,24, 7,22,21, 6,19,18
)(25,26)(27,28)(29,37,44,36,48,39,32,43,38,31,42,33)(30,45,51,40,41,
52,35,50,49,34,47,46)(53,54)(55,56),
( 1,15,23,19,11, 4, 9,21,13, 5)( 2, 7)( 3,20,18,22,16, 8,14,24,17,10)
( 6,12)(25,27,26,28)(29,37,51,41,39)(31,42,46,45,44)(32,43,49,47,33)
(36,48,52,50,38)(53,55,54,56), ( 1,29)( 2,30)( 3,31)( 4,32)( 5,33)
( 6,34)( 7,35)( 8,36)( 9,37)(10,38)(11,39)(12,40)(13,41)(14,42)(15,43)
(16,44)(17,45)(18,46)(19,47)(20,48)(21,49)(22,50)(23,51)(24,52)(25,53)
(26,54)(27,55)(28,56) ],
[ ( 1, 9,16, 8,20,11, 4,15,10, 3,14, 5)( 2,17,23,12,13,24, 7,22,21, 6,19,18
)(25,26)(27,28)(29,51,33,31,46,38,32,49,39,36,52,44)(30,41,42,34,45,
43,35,47,48,40,50,37)(53,54)(55,56),
( 1,15,23,19,11, 4, 9,21,13, 5)( 2, 7)( 3,20,18,22,16, 8,14,24,17,10)
( 6,12)(25,27,26,28)(29,35,47,42,52)(30,41,48,46,32)(31,40,50,43,51)
(34,45,37,49,36)(53,55,54,56), ( 1,29)( 2,30)( 3,31)( 4,32)( 5,33)
( 6,34)( 7,35)( 8,36)( 9,37)(10,38)(11,39)(12,40)(13,41)(14,42)(15,43)
(16,44)(17,45)(18,46)(19,47)(20,48)(21,49)(22,50)(23,51)(24,52)(25,53)
(26,54)(27,55)(28,56) ],
[ ( 1, 9,16, 8,20,11, 4,15,10, 3,14, 5)( 2,17,23,12,13,24, 7,22,21, 6,19,18
)(25,26)(27,28)(29,51,33,31,46,38,32,49,39,36,52,44)(30,41,42,34,45,
43,35,47,48,40,50,37)(53,54)(55,56),
( 1,15,23,19,11, 4, 9,21,13, 5)( 2, 7)( 3,20,18,22,16, 8,14,24,17,10)
( 6,12)(25,27,26,28)(29,35,47,42,52)(30,41,48,46,32)(31,40,50,43,51)
(34,45,37,49,36)(53,55,54,56), ( 1,29)( 2,30)( 3,31)( 4,32)( 5,33)
( 6,34)( 7,35)( 8,36)( 9,37)(10,38)(11,39)(12,40)(13,41)(14,42)(15,43)
(16,44)(17,45)(18,46)(19,47)(20,48)(21,49)(22,50)(23,51)(24,52)
(25,53,26,54)(27,55,28,56) ],
[ ( 1, 57, 12, 55, 20, 75, 6, 71, 30, 67, 38, 78)( 2, 84, 3, 59, 35,
61, 10, 96, 14, 74, 18, 77)( 4, 69, 29, 65, 36, 90, 16, 87, 43, 82,
47, 92)( 5, 70, 25, 56, 21, 80, 17, 88, 28, 51, 7, 62)
( 8, 94, 13, 72, 45, 76, 23, 98, 31, 89, 33, 91)( 9, 85, 11, 60, 46,
64, 24, 68, 27, 52, 34, 53)( 15, 86, 40, 66, 37, 93, 32, 97, 42, 54,
19, 79)( 22, 95, 26, 73, 48, 81, 39, 83, 41, 58, 44, 63)( 49,100)
( 50, 99), ( 1, 77, 12, 60, 18, 51, 27, 62, 10, 68)( 2, 85, 6, 61,
30, 52, 35, 56, 11, 80)( 3, 75, 24, 84, 5, 53, 25, 74, 34, 55)
( 4, 91, 29, 73, 33, 54, 41, 79, 23, 83)( 7, 57)( 8, 95, 16, 76, 43,
58, 45, 66, 26, 93)( 9, 96, 17, 64, 28, 59, 46, 67, 14, 78)
( 13, 90, 39, 94, 15, 63, 40, 89, 44, 65)( 19, 69)( 20, 70)( 21, 71)
( 22, 98, 32, 81, 42, 72, 48, 82, 31, 92)( 36, 86)( 37, 87)( 38, 88)
( 47, 97)( 49, 99)( 50,100),
( 1, 86, 3, 66, 7, 81, 5, 87, 11, 82, 20, 91, 6, 97, 14, 54, 21, 63,
17, 69, 27, 65, 38, 76)( 2, 83, 12, 73, 46, 93, 9, 94, 25, 89, 18,
92, 10, 95, 30, 58, 34, 79, 24, 98, 28, 72, 35, 90)( 4, 71, 13, 67,
19, 77, 15, 88, 26, 51, 36, 53, 16, 57, 31, 55, 37, 61, 32, 70, 41,
56, 47, 64)( 8, 84, 29, 74, 48, 78, 22, 85, 40, 52, 33, 62, 23, 96,
43, 59, 44, 75, 39, 68, 42, 60, 45, 80)( 49,100)( 50, 99) ],
[ ( 1,39,14,33,30,32,24,26,18,40,17,23,11,48,25,16,10,13,46,29, 6,22, 3,45,
12,15, 9,41,35,42, 5, 8,27,44,28, 4, 2,31,34,43)( 7,36,38,19,21,47,20,
37)(51,72,64,95,80,65,74,91,68,92,67,58,61,94,75,54,60,81,96,93,56,89,
53,83,62,82,59,76,85,90,55,73,77,98,78,66,52,63,84,79)(57,97,88,87,71,
86,70,69), ( 1, 69, 3, 65, 7, 76, 5, 86, 11, 66, 20, 81, 6, 87,
14, 82, 21, 91, 17, 97, 27, 54, 38, 63)( 2, 98, 12, 72, 46, 90, 9,
83, 25, 73, 18, 93, 10, 94, 30, 89, 34, 92, 24, 95, 28, 58, 35, 79)
( 4, 70, 13, 56, 19, 64, 15, 71, 26, 67, 36, 77, 16, 88, 31, 51, 37,
53, 32, 57, 41, 55, 47, 61)( 8, 68, 29, 60, 48, 80, 22, 84, 40, 74,
33, 78, 23, 85, 43, 52, 44, 62, 39, 96, 42, 59, 45, 75)( 49, 99)
( 50,100), ( 1, 82, 5, 54, 6, 65, 17, 66)( 2, 95, 9, 98, 10, 83,
24, 94)( 3, 69, 11, 86, 14, 87, 27, 97)( 4, 51, 15, 55, 16, 56, 32,
67)( 7, 81, 20, 91, 21, 63, 38, 76)( 8, 96, 22, 68, 23, 84, 39, 85)
( 12, 90, 25, 93, 30, 92, 28, 79)( 13, 70, 26, 71, 31, 88, 41, 57)
( 18, 58, 34, 72, 35, 73, 46, 89)( 19, 77, 36, 53, 37, 61, 47, 64)
( 29, 80, 40, 78, 43, 62, 42, 75)( 33, 59, 44, 60, 45, 74, 48, 52)
( 49,100)( 50, 99) ],
[ ( 1, 19, 46, 15, 21, 33, 17, 47, 35, 4, 20, 48, 6, 37, 34, 32, 7, 45,
5, 36, 18, 16, 38, 44)( 2, 42, 14, 22, 25, 41, 24, 43, 11, 8, 12,
31, 10, 40, 3, 39, 28, 26, 9, 29, 27, 23, 30, 13)( 49, 50)
( 51, 87, 96, 82, 71, 95, 67, 86, 85, 66, 70, 94, 56, 69, 84, 65, 57,
83, 55, 97, 68, 54, 88, 98)( 52, 90, 64, 89, 75, 76, 74, 79, 61, 73,
62, 63, 60, 92, 53, 72, 78, 91, 59, 93, 77, 58, 80, 81)( 99,100),
( 1, 35, 2, 17, 34, 24, 6, 18, 10, 5, 46, 9)( 3, 12, 20, 27, 28,
7, 14, 30, 38, 11, 25, 21)( 4, 45, 8, 32, 44, 39, 16, 33, 23, 15,
48, 22)( 13, 29, 36, 41, 42, 19, 31, 43, 47, 26, 40, 37)( 49, 50)
( 51, 68, 52, 55, 84, 59, 56, 85, 60, 67, 96, 74)( 53, 80, 70, 61, 78,
71, 64, 62, 88, 77, 75, 57)( 54, 83, 58, 65, 94, 72, 66, 95, 73, 82,
98, 89)( 63, 93, 86, 76, 92, 87, 81, 79, 97, 91, 90, 69)( 99,100),
( 1, 92, 17, 93, 6, 90, 5, 79)( 2, 94, 24, 83, 10, 98, 9, 95)
( 3, 91, 27, 81, 14, 76, 11, 63)( 4, 62, 32, 78, 16, 80, 15, 75)
( 7, 86, 38, 69, 21, 97, 20, 87)( 8, 85, 39, 84, 23, 68, 22, 96)
( 12, 82, 28, 66, 30, 65, 25, 54)( 13, 53, 41, 77, 31, 64, 26, 61)
( 18, 72, 46, 58, 35, 89, 34, 73)( 19, 71, 47, 70, 37, 57, 36, 88)
( 29, 51, 42, 67, 43, 56, 40, 55)( 33, 60, 48, 59, 45, 52, 44, 74)
( 49, 99)( 50,100) ],
[ ( 3, 4)( 5,39,36,25, 6,40,35,26)( 7, 9,27,41, 8,10,28,42)(11,20,17,30,12,
19,18,29)(13,32,44,22,14,31,43,21)(15,24,37,34,16,23,38,33)(47,48)
(49,83,80,69,50,84,79,70)(51,53,71,85,52,54,72,86)(55,64,61,74,56,63,
62,73)(57,76,88,66,58,75,87,65)(59,68,81,78,60,67,82,77),
( 1, 3)( 2, 4)( 5,27,22, 6,28,21)( 7,17,38, 8,18,37)( 9,36,44,10,35,43)
(11,29,39,12,30,40)(13,33,32,14,34,31)(15,20,41,16,19,42)(23,24)(25,26)
(45,47)(46,48)(49,71,66,50,72,65)(51,61,82,52,62,81)(53,80,88,54,79,87)
(55,73,83,56,74,84)(57,77,76,58,78,75)(59,64,85,60,63,86)(67,68)(69,70)
, ( 1,45)( 2,46)( 3,47)( 4,48)( 5,49)( 6,50)( 7,51)( 8,52)( 9,53)
(10,54)(11,55)(12,56)(13,57)(14,58)(15,59)(16,60)(17,61)(18,62)(19,63)
(20,64)(21,65)(22,66)(23,67)(24,68)(25,69)(26,70)(27,71)(28,72)(29,73)
(30,74)(31,75)(32,76)(33,77)(34,78)(35,79)(36,80)(37,81)(38,82)(39,83)
(40,84)(41,85)(42,86)(43,87)(44,88) ],
[ ( 1, 3)( 2, 4)( 5, 14, 18, 25, 46)( 7, 16, 15, 11, 34)
( 9, 26, 33, 50, 31)( 10, 35, 19, 42, 29)( 12, 24, 30, 52, 27)
( 13, 32, 48, 28, 43)( 17, 41, 40, 44, 20)( 22, 38, 39, 45, 49)
( 53, 55)( 54, 56)( 57, 66, 70, 77, 98)( 59, 68, 67, 63, 86)
( 61, 78, 85,102, 83)( 62, 87, 71, 94, 81)( 64, 76, 82,104, 79)
( 65, 84,100, 80, 95)( 69, 93, 92, 96, 72)( 74, 90, 91, 97,101),
( 1, 4, 2, 3)( 5, 28, 27, 23, 11, 22, 42, 39, 34, 36, 52, 32)
( 6, 43, 19, 9, 29, 13, 47, 45, 46, 41, 14, 49)( 7, 48, 15, 20, 37,
33, 12, 38, 30, 50, 8, 44)( 10, 17, 24, 40, 35, 51, 18, 31, 16, 26,
25, 21)( 53, 56, 54, 55)( 57, 80, 79, 75, 63, 74, 94, 91, 86, 88,104,
84)( 58, 95, 71, 61, 81, 65, 99, 97, 98, 93, 66,101)( 59,100, 67, 72,
89, 85, 64, 90, 82,102, 60, 96)( 62, 69, 76, 92, 87,103, 70, 83, 68,
78, 77, 73), ( 1, 53)( 2, 54)( 3, 55)( 4, 56)( 5, 57)( 6, 58)
( 7, 59)( 8, 60)( 9, 61)( 10, 62)( 11, 63)( 12, 64)( 13, 65)
( 14, 66)( 15, 67)( 16, 68)( 17, 69)( 18, 70)( 19, 71)( 20, 72)
( 21, 73)( 22, 74)( 23, 75)( 24, 76)( 25, 77)( 26, 78)( 27, 79)
( 28, 80)( 29, 81)( 30, 82)( 31, 83)( 32, 84)( 33, 85)( 34, 86)
( 35, 87)( 36, 88)( 37, 89)( 38, 90)( 39, 91)( 40, 92)( 41, 93)
( 42, 94)( 43, 95)( 44, 96)( 45, 97)( 46, 98)( 47, 99)( 48,100)
( 49,101)( 50,102)( 51,103)( 52,104) ],
[ ( 1, 3, 2, 4)( 5,42,35,14,40,34)( 6,41,36,13,39,33)( 7,16,22, 8,15,21)
( 9,17,29)(10,18,30)(11,28,24,25,44,20)(12,27,23,26,43,19)(31,37)
(32,38)(45,47,46,48)(49,86,79,58,84,78)(50,85,80,57,83,77)
(51,60,66,52,59,65)(53,61,73)(54,62,74)(55,72,68,69,88,64)
(56,71,67,70,87,63)(75,81)(76,82),
( 1, 4)( 2, 3)( 5,29,11,15, 6,30,12,16)( 7,44,23,10, 8,43,24, 9)
(13,28,38,20,14,27,37,19)(17,40,35,21,18,39,36,22)(25,41,32,33,26,42,
31,34)(45,48)(46,47)(49,73,55,59,50,74,56,60)(51,88,67,54,52,87,68,53)
(57,72,82,64,58,71,81,63)(61,84,79,65,62,83,80,66)(69,85,76,77,70,86,
75,78), ( 1,45)( 2,46)( 3,47)( 4,48)( 5,49)( 6,50)( 7,51)( 8,52)
( 9,53)(10,54)(11,55)(12,56)(13,57)(14,58)(15,59)(16,60)(17,61)(18,62)
(19,63)(20,64)(21,65)(22,66)(23,67)(24,68)(25,69)(26,70)(27,71)(28,72)
(29,73)(30,74)(31,75)(32,76)(33,77)(34,78)(35,79)(36,80)(37,81)(38,82)
(39,83)(40,84)(41,85)(42,86)(43,87)(44,88) ],
[ ( 1, 3)( 2, 4)( 5, 17, 44, 50, 6, 18, 43, 49)( 7, 41, 45, 12, 8,
42, 46, 11)( 9, 32, 24, 39, 10, 31, 23, 40)( 13, 29, 16, 27, 14, 30,
15, 28)( 19, 26, 36, 21, 20, 25, 35, 22)( 33, 51, 38, 47, 34, 52, 37,
48)( 53, 55)( 54, 56)( 57, 69, 96,102, 58, 70, 95,101)
( 59, 93, 97, 64, 60, 94, 98, 63)( 61, 84, 76, 91, 62, 83, 75, 92)
( 65, 81, 68, 79, 66, 82, 67, 80)( 71, 78, 88, 73, 72, 77, 87, 74)
( 85,103, 90, 99, 86,104, 89,100),
( 1, 3, 2, 4)( 5, 52, 14, 46, 19, 23, 6, 51, 13, 45, 20, 24)
( 7, 44, 21, 33, 30, 39, 8, 43, 22, 34, 29, 40)( 9, 37, 28, 36, 17,
42, 10, 38, 27, 35, 18, 41)( 11, 47, 15, 50, 31, 25, 12, 48, 16, 49,
32, 26)( 53, 55, 54, 56)( 57,104, 66, 98, 71, 75, 58,103, 65, 97, 72,
76)( 59, 96, 73, 85, 82, 91, 60, 95, 74, 86, 81, 92)( 61, 89, 80, 88,
69, 94, 62, 90, 79, 87, 70, 93)( 63, 99, 67,102, 83, 77, 64,100, 68,
101, 84, 78), ( 1, 53)( 2, 54)( 3, 55)( 4, 56)( 5, 57)( 6, 58)
( 7, 59)( 8, 60)( 9, 61)( 10, 62)( 11, 63)( 12, 64)( 13, 65)
( 14, 66)( 15, 67)( 16, 68)( 17, 69)( 18, 70)( 19, 71)( 20, 72)
( 21, 73)( 22, 74)( 23, 75)( 24, 76)( 25, 77)( 26, 78)( 27, 79)
( 28, 80)( 29, 81)( 30, 82)( 31, 83)( 32, 84)( 33, 85)( 34, 86)
( 35, 87)( 36, 88)( 37, 89)( 38, 90)( 39, 91)( 40, 92)( 41, 93)
( 42, 94)( 43, 95)( 44, 96)( 45, 97)( 46, 98)( 47, 99)( 48,100)
( 49,101)( 50,102)( 51,103)( 52,104) ],
[ ( 1, 3)( 2, 4)( 5, 17, 44, 50, 6, 18, 43, 49)( 7, 41, 45, 12, 8,
42, 46, 11)( 9, 32, 24, 39, 10, 31, 23, 40)( 13, 29, 16, 27, 14, 30,
15, 28)( 19, 26, 36, 21, 20, 25, 35, 22)( 33, 51, 38, 47, 34, 52, 37,
48)( 53, 55)( 54, 56)( 57, 69, 96,102, 58, 70, 95,101)
( 59, 93, 97, 64, 60, 94, 98, 63)( 61, 84, 76, 91, 62, 83, 75, 92)
( 65, 81, 68, 79, 66, 82, 67, 80)( 71, 78, 88, 73, 72, 77, 87, 74)
( 85,103, 90, 99, 86,104, 89,100),
( 1, 3, 2, 4)( 5, 52, 14, 46, 19, 23, 6, 51, 13, 45, 20, 24)
( 7, 44, 21, 33, 30, 39, 8, 43, 22, 34, 29, 40)( 9, 37, 28, 36, 17,
42, 10, 38, 27, 35, 18, 41)( 11, 47, 15, 50, 31, 25, 12, 48, 16, 49,
32, 26)( 53, 55, 54, 56)( 57,104, 66, 98, 71, 75, 58,103, 65, 97, 72,
76)( 59, 96, 73, 85, 82, 91, 60, 95, 74, 86, 81, 92)( 61, 89, 80, 88,
69, 94, 62, 90, 79, 87, 70, 93)( 63, 99, 67,102, 83, 77, 64,100, 68,
101, 84, 78), ( 1, 53)( 2, 54)( 3, 55)( 4, 56)( 5, 57, 6, 58)
( 7, 59, 8, 60)( 9, 61, 10, 62)( 11, 63, 12, 64)( 13, 65, 14, 66)
( 15, 67, 16, 68)( 17, 69, 18, 70)( 19, 71, 20, 72)( 21, 73, 22, 74)
( 23, 75, 24, 76)( 25, 77, 26, 78)( 27, 79, 28, 80)( 29, 81, 30, 82)
( 31, 83, 32, 84)( 33, 85, 34, 86)( 35, 87, 36, 88)( 37, 89, 38, 90)
( 39, 91, 40, 92)( 41, 93, 42, 94)( 43, 95, 44, 96)( 45, 97, 46, 98)
( 47, 99, 48,100)( 49,101, 50,102)( 51,103, 52,104) ],
[ ( 1, 3)( 2, 4)( 5, 14, 18, 25, 46)( 7, 16, 15, 11, 34)
( 9, 26, 33, 50, 31)( 10, 35, 19, 42, 29)( 12, 24, 30, 52, 27)
( 13, 32, 48, 28, 43)( 17, 41, 40, 44, 20)( 22, 38, 39, 45, 49)
( 53, 55)( 54, 56)( 57, 66, 70, 77, 98)( 59, 68, 67, 63, 86)
( 61, 78, 85,102, 83)( 62, 87, 71, 94, 81)( 64, 76, 82,104, 79)
( 65, 84,100, 80, 95)( 69, 93, 92, 96, 72)( 74, 90, 91, 97,101),
( 1, 4, 2, 3)( 5, 28, 27, 23, 11, 22, 42, 39, 34, 36, 52, 32)
( 6, 43, 19, 9, 29, 13, 47, 45, 46, 41, 14, 49)( 7, 48, 15, 20, 37,
33, 12, 38, 30, 50, 8, 44)( 10, 17, 24, 40, 35, 51, 18, 31, 16, 26,
25, 21)( 53, 55, 54, 56)( 57, 91, 79, 88, 63, 84, 94, 80, 86, 75,104,
74)( 58, 97, 71, 93, 81,101, 99, 95, 98, 61, 66, 65)( 59, 90, 67,102,
89, 96, 64,100, 82, 72, 60, 85)( 62, 83, 76, 78, 87, 73, 70, 69, 68,
92, 77,103), ( 1, 53)( 2, 54)( 3, 55)( 4, 56)( 5, 57)( 6, 58)
( 7, 59)( 8, 60)( 9, 61)( 10, 62)( 11, 63)( 12, 64)( 13, 65)
( 14, 66)( 15, 67)( 16, 68)( 17, 69)( 18, 70)( 19, 71)( 20, 72)
( 21, 73)( 22, 74)( 23, 75)( 24, 76)( 25, 77)( 26, 78)( 27, 79)
( 28, 80)( 29, 81)( 30, 82)( 31, 83)( 32, 84)( 33, 85)( 34, 86)
( 35, 87)( 36, 88)( 37, 89)( 38, 90)( 39, 91)( 40, 92)( 41, 93)
( 42, 94)( 43, 95)( 44, 96)( 45, 97)( 46, 98)( 47, 99)( 48,100)
( 49,101)( 50,102)( 51,103)( 52,104) ],
[ ( 1, 3)( 2, 4)( 5, 17, 44, 50, 6, 18, 43, 49)( 7, 41, 45, 12, 8,
42, 46, 11)( 9, 32, 24, 39, 10, 31, 23, 40)( 13, 29, 16, 27, 14, 30,
15, 28)( 19, 26, 36, 21, 20, 25, 35, 22)( 33, 51, 38, 47, 34, 52, 37,
48)( 53, 55)( 54, 56)( 57, 70, 96,101, 58, 69, 95,102)
( 59, 94, 97, 63, 60, 93, 98, 64)( 61, 83, 76, 92, 62, 84, 75, 91)
( 65, 82, 68, 80, 66, 81, 67, 79)( 71, 77, 88, 74, 72, 78, 87, 73)
( 85,104, 90,100, 86,103, 89, 99),
( 1, 3, 2, 4)( 5, 52, 14, 46, 19, 23, 6, 51, 13, 45, 20, 24)
( 7, 44, 21, 33, 30, 39, 8, 43, 22, 34, 29, 40)( 9, 37, 28, 36, 17,
42, 10, 38, 27, 35, 18, 41)( 11, 47, 15, 50, 31, 25, 12, 48, 16, 49,
32, 26)( 53, 55, 54, 56)( 57,103, 66, 97, 71, 76, 58,104, 65, 98, 72,
75)( 59, 95, 73, 86, 82, 92, 60, 96, 74, 85, 81, 91)( 61, 90, 80, 87,
69, 93, 62, 89, 79, 88, 70, 94)( 63,100, 67,101, 83, 78, 64, 99, 68,
102, 84, 77), ( 1, 53)( 2, 54)( 3, 55)( 4, 56)( 5, 57)( 6, 58)
( 7, 59)( 8, 60)( 9, 61)( 10, 62)( 11, 63)( 12, 64)( 13, 65)
( 14, 66)( 15, 67)( 16, 68)( 17, 69)( 18, 70)( 19, 71)( 20, 72)
( 21, 73)( 22, 74)( 23, 75)( 24, 76)( 25, 77)( 26, 78)( 27, 79)
( 28, 80)( 29, 81)( 30, 82)( 31, 83)( 32, 84)( 33, 85)( 34, 86)
( 35, 87)( 36, 88)( 37, 89)( 38, 90)( 39, 91)( 40, 92)( 41, 93)
( 42, 94)( 43, 95)( 44, 96)( 45, 97)( 46, 98)( 47, 99)( 48,100)
( 49,101)( 50,102)( 51,103)( 52,104) ],
[ ( 1, 3, 2, 4)( 5,42,35,14,40,34)( 6,41,36,13,39,33)( 7,16,22, 8,15,21)
( 9,17,29)(10,18,30)(11,28,24,25,44,20)(12,27,23,26,43,19)(31,37)
(32,38)(45,47,46,48)(49,85,79,57,84,77)(50,86,80,58,83,78)(51,59,66)
(52,60,65)(53,62,73,54,61,74)(55,71,68,70,88,63)(56,72,67,69,87,64)
(75,82)(76,81), ( 1, 4)( 2, 3)( 5,29,11,15, 6,30,12,16)( 7,44,23,10, 8,
43,24, 9)(13,28,38,20,14,27,37,19)(17,40,35,21,18,39,36,22)
(25,41,32,33,26,42,31,34)(45,48)(46,47)(49,74,55,60,50,73,56,59)
(51,87,67,53,52,88,68,54)(57,71,82,63,58,72,81,64)(61,83,79,66,62,84,
80,65)(69,86,76,78,70,85,75,77),
( 1,45)( 2,46)( 3,47)( 4,48)( 5,49, 6,50)( 7,51, 8,52)( 9,53,10,54)
(11,55,12,56)(13,57,14,58)(15,59,16,60)(17,61,18,62)(19,63,20,64)
(21,65,22,66)(23,67,24,68)(25,69,26,70)(27,71,28,72)(29,73,30,74)
(31,75,32,76)(33,77,34,78)(35,79,36,80)(37,81,38,82)(39,83,40,84)
(41,85,42,86)(43,87,44,88) ],
[ ( 1, 3)( 2, 4)( 5, 17, 44, 50, 6, 18, 43, 49)( 7, 41, 45, 12, 8,
42, 46, 11)( 9, 32, 24, 39, 10, 31, 23, 40)( 13, 29, 16, 27, 14, 30,
15, 28)( 19, 26, 36, 21, 20, 25, 35, 22)( 33, 51, 38, 47, 34, 52, 37,
48)( 53, 55)( 54, 56)( 57, 70, 96,101, 58, 69, 95,102)
( 59, 94, 97, 63, 60, 93, 98, 64)( 61, 83, 76, 92, 62, 84, 75, 91)
( 65, 82, 68, 80, 66, 81, 67, 79)( 71, 77, 88, 74, 72, 78, 87, 73)
( 85,104, 90,100, 86,103, 89, 99),
( 1, 3, 2, 4)( 5, 52, 14, 46, 19, 23, 6, 51, 13, 45, 20, 24)
( 7, 44, 21, 33, 30, 39, 8, 43, 22, 34, 29, 40)( 9, 37, 28, 36, 17,
42, 10, 38, 27, 35, 18, 41)( 11, 47, 15, 50, 31, 25, 12, 48, 16, 49,
32, 26)( 53, 55, 54, 56)( 57,103, 66, 97, 71, 76, 58,104, 65, 98, 72,
75)( 59, 95, 73, 86, 82, 92, 60, 96, 74, 85, 81, 91)( 61, 90, 80, 87,
69, 93, 62, 89, 79, 88, 70, 94)( 63,100, 67,101, 83, 78, 64, 99, 68,
102, 84, 77), ( 1, 53)( 2, 54)( 3, 55)( 4, 56)( 5, 57, 6, 58)
( 7, 59, 8, 60)( 9, 61, 10, 62)( 11, 63, 12, 64)( 13, 65, 14, 66)
( 15, 67, 16, 68)( 17, 69, 18, 70)( 19, 71, 20, 72)( 21, 73, 22, 74)
( 23, 75, 24, 76)( 25, 77, 26, 78)( 27, 79, 28, 80)( 29, 81, 30, 82)
( 31, 83, 32, 84)( 33, 85, 34, 86)( 35, 87, 36, 88)( 37, 89, 38, 90)
( 39, 91, 40, 92)( 41, 93, 42, 94)( 43, 95, 44, 96)( 45, 97, 46, 98)
( 47, 99, 48,100)( 49,101, 50,102)( 51,103, 52,104) ],
[ ( 1, 3, 2, 4)( 5,42,35,14,40,34)( 6,41,36,13,39,33)( 7,16,22, 8,15,21)
( 9,17,29)(10,18,30)(11,28,24,25,44,20)(12,27,23,26,43,19)(31,37)
(32,38)(45,47,46,48)(49,86,79,58,84,78)(50,85,80,57,83,77)
(51,60,66,52,59,65)(53,61,73)(54,62,74)(55,72,68,69,88,64)
(56,71,67,70,87,63)(75,81)(76,82),
( 1, 4)( 2, 3)( 5,29,11,15, 6,30,12,16)( 7,44,23,10, 8,43,24, 9)
(13,28,38,20,14,27,37,19)(17,40,35,21,18,39,36,22)(25,41,32,33,26,42,
31,34)(45,48)(46,47)(49,74,55,60,50,73,56,59)(51,87,67,53,52,88,68,54)
(57,71,82,63,58,72,81,64)(61,83,79,66,62,84,80,65)(69,86,76,78,70,85,
75,77), ( 1,45)( 2,46)( 3,47)( 4,48)( 5,49, 6,50)( 7,51, 8,52)
( 9,53,10,54)(11,55,12,56)(13,57,14,58)(15,59,16,60)(17,61,18,62)
(19,63,20,64)(21,65,22,66)(23,67,24,68)(25,69,26,70)(27,71,28,72)
(29,73,30,74)(31,75,32,76)(33,77,34,78)(35,79,36,80)(37,81,38,82)
(39,83,40,84)(41,85,42,86)(43,87,44,88) ],
[ ( 1, 3)( 2, 4)( 5, 17, 44, 50, 6, 18, 43, 49)( 7, 41, 45, 12, 8,
42, 46, 11)( 9, 32, 24, 39, 10, 31, 23, 40)( 13, 29, 16, 27, 14, 30,
15, 28)( 19, 26, 36, 21, 20, 25, 35, 22)( 33, 51, 38, 47, 34, 52, 37,
48)( 53, 55)( 54, 56)( 57, 70, 96,101, 58, 69, 95,102)
( 59, 94, 97, 63, 60, 93, 98, 64)( 61, 83, 76, 92, 62, 84, 75, 91)
( 65, 82, 68, 80, 66, 81, 67, 79)( 71, 77, 88, 74, 72, 78, 87, 73)
( 85,104, 90,100, 86,103, 89, 99),
( 1, 3, 2, 4)( 5, 52, 14, 46, 19, 23, 6, 51, 13, 45, 20, 24)
( 7, 44, 21, 33, 30, 39, 8, 43, 22, 34, 29, 40)( 9, 37, 28, 36, 17,
42, 10, 38, 27, 35, 18, 41)( 11, 47, 15, 50, 31, 25, 12, 48, 16, 49,
32, 26)( 53, 55, 54, 56)( 57,104, 66, 98, 71, 75, 58,103, 65, 97, 72,
76)( 59, 96, 73, 85, 82, 91, 60, 95, 74, 86, 81, 92)( 61, 89, 80, 88,
69, 94, 62, 90, 79, 87, 70, 93)( 63, 99, 67,102, 83, 77, 64,100, 68,
101, 84, 78), ( 1, 53)( 2, 54)( 3, 55)( 4, 56)( 5, 57, 6, 58)
( 7, 59, 8, 60)( 9, 61, 10, 62)( 11, 63, 12, 64)( 13, 65, 14, 66)
( 15, 67, 16, 68)( 17, 69, 18, 70)( 19, 71, 20, 72)( 21, 73, 22, 74)
( 23, 75, 24, 76)( 25, 77, 26, 78)( 27, 79, 28, 80)( 29, 81, 30, 82)
( 31, 83, 32, 84)( 33, 85, 34, 86)( 35, 87, 36, 88)( 37, 89, 38, 90)
( 39, 91, 40, 92)( 41, 93, 42, 94)( 43, 95, 44, 96)( 45, 97, 46, 98)
( 47, 99, 48,100)( 49,101, 50,102)( 51,103, 52,104) ],
[ ( 1, 3, 2, 4)( 5,42,35,14,40,34)( 6,41,36,13,39,33)( 7,16,22, 8,15,21)
( 9,17,29)(10,18,30)(11,28,24,25,44,20)(12,27,23,26,43,19)(31,37)
(32,38)(45,47,46,48)(49,85,79,57,84,77)(50,86,80,58,83,78)(51,59,66)
(52,60,65)(53,62,73,54,61,74)(55,71,68,70,88,63)(56,72,67,69,87,64)
(75,82)(76,81), ( 1, 4)( 2, 3)( 5,29,11,15, 6,30,12,16)( 7,44,23,10, 8,
43,24, 9)(13,28,38,20,14,27,37,19)(17,40,35,21,18,39,36,22)
(25,41,32,33,26,42,31,34)(45,48)(46,47)(49,73,55,59,50,74,56,60)
(51,88,67,54,52,87,68,53)(57,72,82,64,58,71,81,63)(61,84,79,65,62,83,
80,66)(69,85,76,77,70,86,75,78), ( 1,45)( 2,46)( 3,47)( 4,48)( 5,49)
( 6,50)( 7,51)( 8,52)( 9,53)(10,54)(11,55)(12,56)(13,57)(14,58)(15,59)
(16,60)(17,61)(18,62)(19,63)(20,64)(21,65)(22,66)(23,67)(24,68)(25,69)
(26,70)(27,71)(28,72)(29,73)(30,74)(31,75)(32,76)(33,77)(34,78)(35,79)
(36,80)(37,81)(38,82)(39,83)(40,84)(41,85)(42,86)(43,87)(44,88) ],
[ ( 5, 6, 18, 26, 22, 9, 15, 8, 25, 13, 17, 14, 7, 28, 12, 16, 24, 19,
27, 23)( 10, 21, 20, 11)( 29, 39, 44, 42, 51, 33, 38, 35, 32, 50, 41,
48, 34, 31, 49, 40, 30, 45, 43, 52)( 36, 47, 46, 37)( 57, 67, 78, 75,
73, 68, 58, 79, 64, 62, 69, 76, 80, 65, 63, 61, 66, 77, 74, 72)
( 59, 60, 70, 71)( 81, 97, 83, 88,102, 92, 86, 84, 89,103, 93, 87, 94,
98,104, 85, 96, 95, 99,101)( 82,100, 90, 91),
( 1, 3, 2, 4)( 5, 31)( 6, 36)( 7, 35)( 8, 44)( 9, 43)( 10, 40)
( 11, 41)( 12, 49)( 13, 50)( 14, 46)( 15, 47)( 16, 32)( 17, 42)
( 18, 45)( 19, 34)( 20, 33)( 21, 29)( 22, 51)( 23, 52)( 24, 37)
( 25, 38)( 26, 39)( 27, 30)( 28, 48)( 53, 56, 54, 55)( 57, 88)( 58, 87)
( 59, 83)( 60, 84)( 61, 99)( 62,101)( 63,102)( 64, 90)( 65, 91)
( 66, 97)( 67, 86)( 68, 89)( 69, 98)( 70, 94)( 71, 95)( 72,103)
( 73,104)( 74, 82)( 75,100)( 76, 96)( 77, 92)( 78, 93)( 79, 85)
( 80, 81), ( 1, 53)( 2, 54)( 3, 55)( 4, 56)( 5, 57)( 6, 58)
( 7, 59)( 8, 60)( 9, 61)( 10, 62)( 11, 63)( 12, 64)( 13, 65)
( 14, 66)( 15, 67)( 16, 68)( 17, 69)( 18, 70)( 19, 71)( 20, 72)
( 21, 73)( 22, 74)( 23, 75)( 24, 76)( 25, 77)( 26, 78)( 27, 79)
( 28, 80)( 29, 81)( 30, 82)( 31, 83)( 32, 84)( 33, 85)( 34, 86)
( 35, 87)( 36, 88)( 37, 89)( 38, 90)( 39, 91)( 40, 92)( 41, 93)
( 42, 94)( 43, 95)( 44, 96)( 45, 97)( 46, 98)( 47, 99)( 48,100)
( 49,101)( 50,102)( 51,103)( 52,104) ],
[ ( 1, 3)( 2, 4)( 5, 17, 44, 50, 6, 18, 43, 49)( 7, 41, 45, 12, 8,
42, 46, 11)( 9, 32, 24, 39, 10, 31, 23, 40)( 13, 29, 16, 27, 14, 30,
15, 28)( 19, 26, 36, 21, 20, 25, 35, 22)( 33, 51, 38, 47, 34, 52, 37,
48)( 53, 55)( 54, 56)( 57, 69, 96,102, 58, 70, 95,101)
( 59, 93, 97, 64, 60, 94, 98, 63)( 61, 84, 76, 91, 62, 83, 75, 92)
( 65, 81, 68, 79, 66, 82, 67, 80)( 71, 78, 88, 73, 72, 77, 87, 74)
( 85,103, 90, 99, 86,104, 89,100),
( 1, 3, 2, 4)( 5, 52, 14, 46, 19, 23, 6, 51, 13, 45, 20, 24)
( 7, 44, 21, 33, 30, 39, 8, 43, 22, 34, 29, 40)( 9, 37, 28, 36, 17,
42, 10, 38, 27, 35, 18, 41)( 11, 47, 15, 50, 31, 25, 12, 48, 16, 49,
32, 26)( 53, 55, 54, 56)( 57,103, 66, 97, 71, 76, 58,104, 65, 98, 72,
75)( 59, 95, 73, 86, 82, 92, 60, 96, 74, 85, 81, 91)( 61, 90, 80, 87,
69, 93, 62, 89, 79, 88, 70, 94)( 63,100, 67,101, 83, 78, 64, 99, 68,
102, 84, 77), ( 1, 53)( 2, 54)( 3, 55)( 4, 56)( 5, 57)( 6, 58)
( 7, 59)( 8, 60)( 9, 61)( 10, 62)( 11, 63)( 12, 64)( 13, 65)
( 14, 66)( 15, 67)( 16, 68)( 17, 69)( 18, 70)( 19, 71)( 20, 72)
( 21, 73)( 22, 74)( 23, 75)( 24, 76)( 25, 77)( 26, 78)( 27, 79)
( 28, 80)( 29, 81)( 30, 82)( 31, 83)( 32, 84)( 33, 85)( 34, 86)
( 35, 87)( 36, 88)( 37, 89)( 38, 90)( 39, 91)( 40, 92)( 41, 93)
( 42, 94)( 43, 95)( 44, 96)( 45, 97)( 46, 98)( 47, 99)( 48,100)
( 49,101)( 50,102)( 51,103)( 52,104) ],
[ ( 5, 6, 18, 26, 22, 9, 15, 8, 25, 13, 17, 14, 7, 28, 12, 16, 24, 19,
27, 23)( 10, 21, 20, 11)( 29, 39, 44, 42, 51, 33, 38, 35, 32, 50, 41,
48, 34, 31, 49, 40, 30, 45, 43, 52)( 36, 47, 46, 37)( 57, 67, 78, 75,
73, 68, 58, 79, 64, 62, 69, 76, 80, 65, 63, 61, 66, 77, 74, 72)
( 59, 60, 70, 71)( 81, 97, 83, 88,102, 92, 86, 84, 89,103, 93, 87, 94,
98,104, 85, 96, 95, 99,101)( 82,100, 90, 91),
( 1, 3, 2, 4)( 5, 31)( 6, 36)( 7, 35)( 8, 44)( 9, 43)( 10, 40)
( 11, 41)( 12, 49)( 13, 50)( 14, 46)( 15, 47)( 16, 32)( 17, 42)
( 18, 45)( 19, 34)( 20, 33)( 21, 29)( 22, 51)( 23, 52)( 24, 37)
( 25, 38)( 26, 39)( 27, 30)( 28, 48)( 53, 56, 54, 55)( 57, 98)( 58, 97)
( 59, 94)( 60, 95)( 61, 89)( 62,103)( 63,104)( 64, 82)( 65,100)
( 66, 87)( 67, 96)( 68, 99)( 69, 88)( 70, 83)( 71, 84)( 72,101)
( 73,102)( 74, 90)( 75, 91)( 76, 86)( 77, 85)( 78, 81)( 79, 92)
( 80, 93), ( 1, 53)( 2, 54)( 3, 55)( 4, 56)( 5, 57, 17, 69)
( 6, 58, 14, 66)( 7, 59, 18, 70)( 8, 60, 19, 71)( 9, 61, 16, 68)
( 10, 62, 20, 72)( 11, 63, 21, 73)( 12, 64, 22, 74)( 13, 65, 23, 75)
( 15, 67, 24, 76)( 25, 77, 27, 79)( 26, 78, 28, 80)( 29, 81, 41, 93)
( 30, 82, 38, 90)( 31, 83, 42, 94)( 32, 84, 43, 95)( 33, 85, 40, 92)
( 34, 86, 44, 96)( 35, 87, 45, 97)( 36, 88, 46, 98)( 37, 89, 47, 99)
( 39, 91, 48,100)( 49,101, 51,103)( 50,102, 52,104) ],
[ ( 1, 3)( 2, 4)( 5, 17, 44, 50, 6, 18, 43, 49)( 7, 41, 45, 12, 8,
42, 46, 11)( 9, 32, 24, 39, 10, 31, 23, 40)( 13, 29, 16, 27, 14, 30,
15, 28)( 19, 26, 36, 21, 20, 25, 35, 22)( 33, 51, 38, 47, 34, 52, 37,
48)( 53, 55)( 54, 56)( 57, 69, 96,102, 58, 70, 95,101)
( 59, 93, 97, 64, 60, 94, 98, 63)( 61, 84, 76, 91, 62, 83, 75, 92)
( 65, 81, 68, 79, 66, 82, 67, 80)( 71, 78, 88, 73, 72, 77, 87, 74)
( 85,103, 90, 99, 86,104, 89,100),
( 1, 3, 2, 4)( 5, 52, 14, 46, 19, 23, 6, 51, 13, 45, 20, 24)
( 7, 44, 21, 33, 30, 39, 8, 43, 22, 34, 29, 40)( 9, 37, 28, 36, 17,
42, 10, 38, 27, 35, 18, 41)( 11, 47, 15, 50, 31, 25, 12, 48, 16, 49,
32, 26)( 53, 55, 54, 56)( 57,103, 66, 97, 71, 76, 58,104, 65, 98, 72,
75)( 59, 95, 73, 86, 82, 92, 60, 96, 74, 85, 81, 91)( 61, 90, 80, 87,
69, 93, 62, 89, 79, 88, 70, 94)( 63,100, 67,101, 83, 78, 64, 99, 68,
102, 84, 77), ( 1, 53)( 2, 54)( 3, 55)( 4, 56)( 5, 57, 6, 58)
( 7, 59, 8, 60)( 9, 61, 10, 62)( 11, 63, 12, 64)( 13, 65, 14, 66)
( 15, 67, 16, 68)( 17, 69, 18, 70)( 19, 71, 20, 72)( 21, 73, 22, 74)
( 23, 75, 24, 76)( 25, 77, 26, 78)( 27, 79, 28, 80)( 29, 81, 30, 82)
( 31, 83, 32, 84)( 33, 85, 34, 86)( 35, 87, 36, 88)( 37, 89, 38, 90)
( 39, 91, 40, 92)( 41, 93, 42, 94)( 43, 95, 44, 96)( 45, 97, 46, 98)
( 47, 99, 48,100)( 49,101, 50,102)( 51,103, 52,104) ],
[ ( 1, 3)( 2, 4)( 5, 17, 44, 50, 6, 18, 43, 49)( 7, 41, 45, 12, 8,
42, 46, 11)( 9, 32, 24, 39, 10, 31, 23, 40)( 13, 29, 16, 27, 14, 30,
15, 28)( 19, 26, 36, 21, 20, 25, 35, 22)( 33, 51, 38, 47, 34, 52, 37,
48)( 53, 55)( 54, 56)( 57, 70, 96,101, 58, 69, 95,102)
( 59, 94, 97, 63, 60, 93, 98, 64)( 61, 83, 76, 92, 62, 84, 75, 91)
( 65, 82, 68, 80, 66, 81, 67, 79)( 71, 77, 88, 74, 72, 78, 87, 73)
( 85,104, 90,100, 86,103, 89, 99),
( 1, 3, 2, 4)( 5, 52, 14, 46, 19, 23, 6, 51, 13, 45, 20, 24)
( 7, 44, 21, 33, 30, 39, 8, 43, 22, 34, 29, 40)( 9, 37, 28, 36, 17,
42, 10, 38, 27, 35, 18, 41)( 11, 47, 15, 50, 31, 25, 12, 48, 16, 49,
32, 26)( 53, 55, 54, 56)( 57,104, 66, 98, 71, 75, 58,103, 65, 97, 72,
76)( 59, 96, 73, 85, 82, 91, 60, 95, 74, 86, 81, 92)( 61, 89, 80, 88,
69, 94, 62, 90, 79, 87, 70, 93)( 63, 99, 67,102, 83, 77, 64,100, 68,
101, 84, 78), ( 1, 53)( 2, 54)( 3, 55)( 4, 56)( 5, 57)( 6, 58)
( 7, 59)( 8, 60)( 9, 61)( 10, 62)( 11, 63)( 12, 64)( 13, 65)
( 14, 66)( 15, 67)( 16, 68)( 17, 69)( 18, 70)( 19, 71)( 20, 72)
( 21, 73)( 22, 74)( 23, 75)( 24, 76)( 25, 77)( 26, 78)( 27, 79)
( 28, 80)( 29, 81)( 30, 82)( 31, 83)( 32, 84)( 33, 85)( 34, 86)
( 35, 87)( 36, 88)( 37, 89)( 38, 90)( 39, 91)( 40, 92)( 41, 93)
( 42, 94)( 43, 95)( 44, 96)( 45, 97)( 46, 98)( 47, 99)( 48,100)
( 49,101)( 50,102)( 51,103)( 52,104) ],
[ ( 1, 2)( 3, 4)( 5,32,42,20,13,44,22, 9,31,40,10,30,41,17, 8,43,21,14,29,
39)( 6,33,26,19, 7,35,24,18,28,38,11,34,25,16,12,37,23,15,27,36)
(45,46)(47,48)(49,74,86,61,57,87,66,58,75,83,54,76,85,64,52,88,65,53,
73,84)(50,78,70,60,51,81,68,59,72,80,55,77,69,63,56,79,67,62,71,82),
( 1, 3, 2, 4)( 5,38,25,30,10,36,26,32)( 6,28,23,17,11,27,24,20)
( 7,15,22,43,12,18,21,44)( 8,42,39,14,13,41,40, 9)(16,34,29,35,19,33,
31,37)(45,48,46,47)(49,80,69,76,54,82,70,74)(50,71,67,64,55,72,68,61)
(51,62,66,88,56,59,65,87)(52,85,83,53,57,86,84,58)(60,77,73,81,63,78,
75,79), ( 1,45)( 2,46)( 3,47)( 4,48)( 5,49)( 6,50)( 7,51)( 8,52)
( 9,53)(10,54)(11,55)(12,56)(13,57)(14,58)(15,59)(16,60)(17,61)(18,62)
(19,63)(20,64)(21,65)(22,66)(23,67)(24,68)(25,69)(26,70)(27,71)(28,72)
(29,73)(30,74)(31,75)(32,76)(33,77)(34,78)(35,79)(36,80)(37,81)(38,82)
(39,83)(40,84)(41,85)(42,86)(43,87)(44,88) ],
[ ( 3,12,17, 6,19,25, 7,22,23,14, 9,15, 4,11,18, 5,20,26, 8,21,24,13,10,16)
(29,49,51,31,48,46,34,43,42,40,38,35,30,50,52,32,47,45,33,44,41,39,37,
36), ( 1, 2)( 3,15,22, 5,24, 8,25,12,14,18, 4,16,21, 6,23, 7,26,11,13,
17)( 9,19,10,20)(27,28)(29,35,40,52,37,33,46,31,42,47,30,36,39,51,38,
34,45,32,41,48)(43,49,44,50), ( 1,27)( 2,28)( 3,29)( 4,30)( 5,31)
( 6,32)( 7,33)( 8,34)( 9,35)(10,36)(11,37)(12,38)(13,39)(14,40)(15,41)
(16,42)(17,43)(18,44)(19,45)(20,46)(21,47)(22,48)(23,49)(24,50)(25,51)
(26,52) ],
[ ( 3,12,17, 6,19,25, 7,22,23,14, 9,15, 4,11,18, 5,20,26, 8,21,24,13,10,16)
(29,50,51,32,48,45,34,44,42,39,38,36,30,49,52,31,47,46,33,43,41,40,37,
35), ( 1, 2)( 3,15,22, 5,24, 8,25,12,14,18, 4,16,21, 6,23, 7,26,11,13,
17)( 9,19,10,20)(27,28)(29,35,40,52,37,33,46,31,42,47,30,36,39,51,38,
34,45,32,41,48)(43,49,44,50), ( 1,27)( 2,28)( 3,29)( 4,30)( 5,31)
( 6,32)( 7,33)( 8,34)( 9,35)(10,36)(11,37)(12,38)(13,39)(14,40)(15,41)
(16,42)(17,43)(18,44)(19,45)(20,46)(21,47)(22,48)(23,49)(24,50)(25,51)
(26,52) ],
[ ( 3,12,17, 6,19,25, 7,22,23,14, 9,15, 4,11,18, 5,20,26, 8,21,24,13,10,16)
(29,50,51,32,48,45,34,44,42,39,38,36,30,49,52,31,47,46,33,43,41,40,37,
35), ( 1, 2)( 3,15,22, 5,24, 8,25,12,14,18, 4,16,21, 6,23, 7,26,11,13,
17)( 9,19,10,20)(27,28)(29,35,40,52,37,33,46,31,42,47,30,36,39,51,38,
34,45,32,41,48)(43,49,44,50), ( 1,27)( 2,28)( 3,29, 4,30)( 5,31, 6,32)
( 7,33, 8,34)( 9,35,10,36)(11,37,12,38)(13,39,14,40)(15,41,16,42)
(17,43,18,44)(19,45,20,46)(21,47,22,48)(23,49,24,50)(25,51,26,52) ],
[ ( 3,12,17, 6,19,25, 7,22,23,14, 9,15, 4,11,18, 5,20,26, 8,21,24,13,10,16)
(29,49,51,31,48,46,34,43,42,40,38,35,30,50,52,32,47,45,33,44,41,39,37,
36), ( 1, 2)( 3,15,22, 5,24, 8,25,12,14,18, 4,16,21, 6,23, 7,26,11,13,
17)( 9,19,10,20)(27,28)(29,35,40,52,37,33,46,31,42,47,30,36,39,51,38,
34,45,32,41,48)(43,49,44,50), ( 1,27)( 2,28)( 3,29, 4,30)( 5,31, 6,32)
( 7,33, 8,34)( 9,35,10,36)(11,37,12,38)(13,39,14,40)(15,41,16,42)
(17,43,18,44)(19,45,20,46)(21,47,22,48)(23,49,24,50)(25,51,26,52) ],
[ ( 3,12,17, 6,19,25, 7,22,23,14, 9,15, 4,11,18, 5,20,26, 8,21,24,13,10,16)
(29,49,51,31,48,46,34,43,42,40,38,35,30,50,52,32,47,45,33,44,41,39,37,
36), ( 1, 2)( 3,15,22, 5,24, 8,25,12,14,18, 4,16,21, 6,23, 7,26,11,13,
17)( 9,19,10,20)(27,28)(29,36,40,51,37,34,46,32,42,48,30,35,39,52,38,
33,45,31,41,47)(43,50,44,49), ( 1,27)( 2,28)( 3,29)( 4,30)( 5,31)
( 6,32)( 7,33)( 8,34)( 9,35)(10,36)(11,37)(12,38)(13,39)(14,40)(15,41)
(16,42)(17,43)(18,44)(19,45)(20,46)(21,47)(22,48)(23,49)(24,50)(25,51)
(26,52) ],
[ ( 1,10,39,19)( 2,11, 8,32)( 3,45,20, 7)( 4,26,34,42)( 5,17,15,41)
( 6,22,18,14)( 9,23)(12,30,28,47)(13,24,31,27)(16,25)(21,46,44,38)
(29,35)(33,40,48,36)(37,43)(49,93,84,78)(50,70,94,58)(51,62,56,96)
(52,76,81,61)(53,72,88,59)(54,75,63,69)(55,87,92,74)(57,85,77,73)
(60,82,86,65)(64,71,91,83)(66,95)(67,79)(68,89)(80,90),
( 1,33,12,21, 5,48, 2,44)( 3,25,26,23,13,37, 6,35)( 4,36,27,38,14,40, 7,
46)( 8,41,39,32,28,19,15,47)( 9,17,43,11,29,10,16,30)(18,22,20,45,42,
34,31,24)(49,73,50,83,53,85,60,71)(51,89,54,95,61,67,74,80)
(52,57,55,64,62,77,75,91)(56,92,63,96,76,69,87,81)(58,68,59,66,65,79,
78,90)(70,88,72,86,82,84,93,94), ( 1,49)( 2,50)( 3,51)( 4,52)( 5,53)
( 6,54)( 7,55)( 8,56)( 9,57)(10,58)(11,59)(12,60)(13,61)(14,62)(15,63)
(16,64)(17,65)(18,66)(19,67)(20,68)(21,69)(22,70)(23,71)(24,72)(25,73)
(26,74)(27,75)(28,76)(29,77)(30,78)(31,79)(32,80)(33,81)(34,82)(35,83)
(36,84)(37,85)(38,86)(39,87)(40,88)(41,89)(42,90)(43,91)(44,92)(45,93)
(46,94)(47,95)(48,96) ],
[ ( 1,10,39,19)( 2,11, 8,32)( 3,45,20, 7)( 4,26,34,42)( 5,17,15,41)
( 6,22,18,14)( 9,23)(12,30,28,47)(13,24,31,27)(16,25)(21,46,44,38)
(29,35)(33,40,48,36)(37,43)(49,93,84,78)(50,70,94,58)(51,62,56,96)
(52,76,81,61)(53,72,88,59)(54,75,63,69)(55,87,92,74)(57,85,77,73)
(60,82,86,65)(64,71,91,83)(66,95)(67,79)(68,89)(80,90),
( 1,33,12,21, 5,48, 2,44)( 3,25,26,23,13,37, 6,35)( 4,36,27,38,14,40, 7,
46)( 8,41,39,32,28,19,15,47)( 9,17,43,11,29,10,16,30)(18,22,20,45,42,
34,31,24)(49,73,50,83,53,85,60,71)(51,89,54,95,61,67,74,80)
(52,57,55,64,62,77,75,91)(56,92,63,96,76,69,87,81)(58,68,59,66,65,79,
78,90)(70,88,72,86,82,84,93,94),
( 1,49, 5,53)( 2,50,12,60)( 3,51,13,61)( 4,52,14,62)( 6,54,26,74)
( 7,55,27,75)( 8,56,28,76)( 9,57,29,77)(10,58,17,65)(11,59,30,78)
(15,63,39,87)(16,64,43,91)(18,66,42,90)(19,67,41,89)(20,68,31,79)
(21,69,44,92)(22,70,34,82)(23,71,35,83)(24,72,45,93)(25,73,37,85)
(32,80,47,95)(33,81,48,96)(36,84,40,88)(38,86,46,94) ],
[ ( 1,10,39,19)( 2,11, 8,32)( 3,45,20, 7)( 4,26,34,42)( 5,17,15,41)
( 6,22,18,14)( 9,23)(12,30,28,47)(13,24,31,27)(16,25)(21,46,44,38)
(29,35)(33,40,48,36)(37,43)(49,69,64,58)(50,81,77,59)(51,55,88,85)
(52,94,83,74)(53,92,91,65)(54,62,86,71)(56,70)(57,78,60,96)
(61,75,84,73)(63,72)(66,67,90,89)(68,95,79,80)(76,82)(87,93),
( 1,33,12,21, 5,48, 2,44)( 3,25,26,23,13,37, 6,35)( 4,36,27,38,14,40, 7,
46)( 8,41,39,32,28,19,15,47)( 9,17,43,11,29,10,16,30)(18,22,20,45,42,
34,31,24)(49,67,50,80,53,89,60,95)(51,70,54,72,61,82,74,93)
(52,66,55,79,62,90,75,68)(56,78,63,58,76,59,87,65)(57,96,64,69,77,81,
91,92)(71,94,73,88,83,86,85,84), ( 1,49)( 2,50)( 3,51)( 4,52)( 5,53)
( 6,54)( 7,55)( 8,56)( 9,57)(10,58)(11,59)(12,60)(13,61)(14,62)(15,63)
(16,64)(17,65)(18,66)(19,67)(20,68)(21,69)(22,70)(23,71)(24,72)(25,73)
(26,74)(27,75)(28,76)(29,77)(30,78)(31,79)(32,80)(33,81)(34,82)(35,83)
(36,84)(37,85)(38,86)(39,87)(40,88)(41,89)(42,90)(43,91)(44,92)(45,93)
(46,94)(47,95)(48,96) ],
[ ( 1,10,39,19)( 2,11, 8,32)( 3,45,20, 7)( 4,26,34,42)( 5,17,15,41)
( 6,22,18,14)( 9,23)(12,30,28,47)(13,24,31,27)(16,25)(21,46,44,38)
(29,35)(33,40,48,36)(37,43)(49,69,64,58)(50,81,77,59)(51,55,88,85)
(52,94,83,74)(53,92,91,65)(54,62,86,71)(56,70)(57,78,60,96)
(61,75,84,73)(63,72)(66,67,90,89)(68,95,79,80)(76,82)(87,93),
( 1,33,12,21, 5,48, 2,44)( 3,25,26,23,13,37, 6,35)( 4,36,27,38,14,40, 7,
46)( 8,41,39,32,28,19,15,47)( 9,17,43,11,29,10,16,30)(18,22,20,45,42,
34,31,24)(49,67,50,80,53,89,60,95)(51,70,54,72,61,82,74,93)
(52,66,55,79,62,90,75,68)(56,78,63,58,76,59,87,65)(57,96,64,69,77,81,
91,92)(71,94,73,88,83,86,85,84),
( 1,49, 5,53)( 2,50,12,60)( 3,51,13,61)( 4,52,14,62)( 6,54,26,74)
( 7,55,27,75)( 8,56,28,76)( 9,57,29,77)(10,58,17,65)(11,59,30,78)
(15,63,39,87)(16,64,43,91)(18,66,42,90)(19,67,41,89)(20,68,31,79)
(21,69,44,92)(22,70,34,82)(23,71,35,83)(24,72,45,93)(25,73,37,85)
(32,80,47,95)(33,81,48,96)(36,84,40,88)(38,86,46,94) ],
[ ( 1, 3)( 2, 4)( 5, 7,26,17, 6, 8,25,18)( 9,11,42,31,10,12,41,32)
(13,40,35,43,14,39,36,44)(15,19,29,33,16,20,30,34)(21,38,27,24,22,37,
28,23)(45,47)(46,48)(49,51,70,61,50,52,69,62)(53,55,86,75,54,56,85,76)
(57,84,79,87,58,83,80,88)(59,63,73,77,60,64,74,78)(65,82,71,68,66,81,
72,67), ( 1, 3, 2, 4)( 5,17,32,15,10)( 6,18,31,16, 9)( 7,20,34,25,14)
( 8,19,33,26,13)(11,36,42,37,22)(12,35,41,38,21)(23,30,28,43,39)
(24,29,27,44,40)(45,47,46,48)(49,61,76,59,54)(50,62,75,60,53)
(51,64,78,69,58)(52,63,77,70,57)(55,80,86,81,66)(56,79,85,82,65)
(67,74,72,87,83)(68,73,71,88,84), ( 1,45)( 2,46)( 3,47)( 4,48)( 5,49)
( 6,50)( 7,51)( 8,52)( 9,53)(10,54)(11,55)(12,56)(13,57)(14,58)(15,59)
(16,60)(17,61)(18,62)(19,63)(20,64)(21,65)(22,66)(23,67)(24,68)(25,69)
(26,70)(27,71)(28,72)(29,73)(30,74)(31,75)(32,76)(33,77)(34,78)(35,79)
(36,80)(37,81)(38,82)(39,83)(40,84)(41,85)(42,86)(43,87)(44,88) ],
[ ( 1, 4, 2, 3)( 5, 44, 6, 43)( 7, 11, 8, 12)( 9, 29, 10, 30)
( 13, 20, 14, 19)( 15, 24, 16, 23)( 17, 22, 18, 21)( 25, 40, 26, 39)
( 27, 36, 28, 35)( 31, 50, 32, 49)( 33, 37, 34, 38)( 41, 52, 42, 51)
( 45, 47, 46, 48)( 53, 56, 54, 55)( 57, 96, 58, 95)( 59, 63, 60, 64)
( 61, 81, 62, 82)( 65, 72, 66, 71)( 67, 76, 68, 75)( 69, 74, 70, 73)
( 77, 92, 78, 91)( 79, 88, 80, 87)( 83,102, 84,101)( 85, 89, 86, 90)
( 93,104, 94,103)( 97, 99, 98,100),
( 1, 4)( 2, 3)( 5, 28, 12, 42, 6, 27, 11, 41)( 7, 46, 25, 35, 8,
45, 26, 36)( 9, 37, 24, 13, 10, 38, 23, 14)( 15, 52, 18, 48, 16, 51,
17, 47)( 19, 39, 31, 43, 20, 40, 32, 44)( 21, 49, 30, 34, 22, 50, 29,
33)( 53, 56)( 54, 55)( 57, 80, 64, 94, 58, 79, 63, 93)
( 59, 98, 77, 87, 60, 97, 78, 88)( 61, 89, 76, 65, 62, 90, 75, 66)
( 67,104, 70,100, 68,103, 69, 99)( 71, 91, 83, 95, 72, 92, 84, 96)
( 73,101, 82, 86, 74,102, 81, 85), ( 1, 53)( 2, 54)( 3, 55)( 4, 56)
( 5, 57)( 6, 58)( 7, 59)( 8, 60)( 9, 61)( 10, 62)( 11, 63)
( 12, 64)( 13, 65)( 14, 66)( 15, 67)( 16, 68)( 17, 69)( 18, 70)
( 19, 71)( 20, 72)( 21, 73)( 22, 74)( 23, 75)( 24, 76)( 25, 77)
( 26, 78)( 27, 79)( 28, 80)( 29, 81)( 30, 82)( 31, 83)( 32, 84)
( 33, 85)( 34, 86)( 35, 87)( 36, 88)( 37, 89)( 38, 90)( 39, 91)
( 40, 92)( 41, 93)( 42, 94)( 43, 95)( 44, 96)( 45, 97)( 46, 98)
( 47, 99)( 48,100)( 49,101)( 50,102)( 51,103)( 52,104) ],
[ ( 1, 2)( 5, 49, 9, 38, 6, 50, 10, 37)( 7, 51, 11, 40, 8, 52, 12,
39)( 13, 43, 15, 42, 14, 44, 16, 41)( 17, 22, 31, 25, 18, 21, 32, 26)
( 19, 24, 30, 27, 20, 23, 29, 28)( 33, 47, 36, 45, 34, 48, 35, 46)
( 53, 54)( 57,101, 61, 90, 58,102, 62, 89)( 59,103, 63, 92, 60,104, 64,
91)( 65, 95, 67, 94, 66, 96, 68, 93)( 69, 74, 83, 77, 70, 73, 84, 78)
( 71, 76, 82, 79, 72, 75, 81, 80)( 85, 99, 88, 97, 86,100, 87, 98),
( 1, 4, 2, 3)( 5, 27, 35, 13, 21, 7, 26, 34, 15, 23, 6, 28, 36,
14, 22, 8, 25, 33, 16, 24)( 9, 11, 10, 12)( 17, 38, 46, 41, 51, 19,
40, 48, 43, 50, 18, 37, 45, 42, 52, 20, 39, 47, 44, 49)
( 29, 31, 30, 32)( 53, 56, 54, 55)( 57, 79, 87, 65, 73, 59, 78, 86, 67,
75, 58, 80, 88, 66, 74, 60, 77, 85, 68, 76)( 61, 63, 62, 64)
( 69, 90, 98, 93,103, 71, 92,100, 95,102, 70, 89, 97, 94,104, 72, 91,
99, 96,101)( 81, 83, 82, 84), ( 1, 53)( 2, 54)( 3, 55)( 4, 56)
( 5, 57)( 6, 58)( 7, 59)( 8, 60)( 9, 61)( 10, 62)( 11, 63)
( 12, 64)( 13, 65)( 14, 66)( 15, 67)( 16, 68)( 17, 69)( 18, 70)
( 19, 71)( 20, 72)( 21, 73)( 22, 74)( 23, 75)( 24, 76)( 25, 77)
( 26, 78)( 27, 79)( 28, 80)( 29, 81)( 30, 82)( 31, 83)( 32, 84)
( 33, 85)( 34, 86)( 35, 87)( 36, 88)( 37, 89)( 38, 90)( 39, 91)
( 40, 92)( 41, 93)( 42, 94)( 43, 95)( 44, 96)( 45, 97)( 46, 98)
( 47, 99)( 48,100)( 49,101)( 50,102)( 51,103)( 52,104) ],
[ ( 1, 4, 2, 3)( 5, 44, 6, 43)( 7, 11, 8, 12)( 9, 29, 10, 30)
( 13, 20, 14, 19)( 15, 24, 16, 23)( 17, 22, 18, 21)( 25, 40, 26, 39)
( 27, 36, 28, 35)( 31, 50, 32, 49)( 33, 37, 34, 38)( 41, 52, 42, 51)
( 45, 47, 46, 48)( 53, 56, 54, 55)( 57, 96, 58, 95)( 59, 63, 60, 64)
( 61, 81, 62, 82)( 65, 72, 66, 71)( 67, 76, 68, 75)( 69, 74, 70, 73)
( 77, 92, 78, 91)( 79, 88, 80, 87)( 83,102, 84,101)( 85, 89, 86, 90)
( 93,104, 94,103)( 97, 99, 98,100),
( 1, 4)( 2, 3)( 5, 28, 12, 42, 6, 27, 11, 41)( 7, 46, 25, 35, 8,
45, 26, 36)( 9, 37, 24, 13, 10, 38, 23, 14)( 15, 52, 18, 48, 16, 51,
17, 47)( 19, 39, 31, 43, 20, 40, 32, 44)( 21, 49, 30, 34, 22, 50, 29,
33)( 53, 56)( 54, 55)( 57, 80, 64, 94, 58, 79, 63, 93)
( 59, 98, 77, 87, 60, 97, 78, 88)( 61, 89, 76, 65, 62, 90, 75, 66)
( 67,104, 70,100, 68,103, 69, 99)( 71, 91, 83, 95, 72, 92, 84, 96)
( 73,101, 82, 86, 74,102, 81, 85), ( 1, 53)( 2, 54)( 3, 55)( 4, 56)
( 5, 57, 6, 58)( 7, 59, 8, 60)( 9, 61, 10, 62)( 11, 63, 12, 64)
( 13, 65, 14, 66)( 15, 67, 16, 68)( 17, 69, 18, 70)( 19, 71, 20, 72)
( 21, 73, 22, 74)( 23, 75, 24, 76)( 25, 77, 26, 78)( 27, 79, 28, 80)
( 29, 81, 30, 82)( 31, 83, 32, 84)( 33, 85, 34, 86)( 35, 87, 36, 88)
( 37, 89, 38, 90)( 39, 91, 40, 92)( 41, 93, 42, 94)( 43, 95, 44, 96)
( 45, 97, 46, 98)( 47, 99, 48,100)( 49,101, 50,102)( 51,103, 52,104) ],
[ ( 1, 4, 2, 3)( 5, 44, 6, 43)( 7, 11, 8, 12)( 9, 29, 10, 30)
( 13, 20, 14, 19)( 15, 24, 16, 23)( 17, 22, 18, 21)( 25, 40, 26, 39)
( 27, 36, 28, 35)( 31, 50, 32, 49)( 33, 37, 34, 38)( 41, 52, 42, 51)
( 45, 47, 46, 48)( 53, 56, 54, 55)( 57, 96, 58, 95)( 59, 63, 60, 64)
( 61, 81, 62, 82)( 65, 72, 66, 71)( 67, 76, 68, 75)( 69, 74, 70, 73)
( 77, 92, 78, 91)( 79, 88, 80, 87)( 83,102, 84,101)( 85, 89, 86, 90)
( 93,104, 94,103)( 97, 99, 98,100),
( 1, 4)( 2, 3)( 5, 28, 12, 42, 6, 27, 11, 41)( 7, 46, 25, 35, 8,
45, 26, 36)( 9, 37, 24, 13, 10, 38, 23, 14)( 15, 52, 18, 48, 16, 51,
17, 47)( 19, 39, 31, 43, 20, 40, 32, 44)( 21, 49, 30, 34, 22, 50, 29,
33)( 53, 55)( 54, 56)( 57, 79, 64, 93, 58, 80, 63, 94)
( 59, 97, 77, 88, 60, 98, 78, 87)( 61, 90, 76, 66, 62, 89, 75, 65)
( 67,103, 70, 99, 68,104, 69,100)( 71, 92, 83, 96, 72, 91, 84, 95)
( 73,102, 82, 85, 74,101, 81, 86), ( 1, 53, 2, 54)( 3, 55, 4, 56)
( 5, 57)( 6, 58)( 7, 59)( 8, 60)( 9, 61)( 10, 62)( 11, 63)
( 12, 64)( 13, 65)( 14, 66)( 15, 67)( 16, 68)( 17, 69)( 18, 70)
( 19, 71)( 20, 72)( 21, 73)( 22, 74)( 23, 75)( 24, 76)( 25, 77)
( 26, 78)( 27, 79)( 28, 80)( 29, 81)( 30, 82)( 31, 83)( 32, 84)
( 33, 85)( 34, 86)( 35, 87)( 36, 88)( 37, 89)( 38, 90)( 39, 91)
( 40, 92)( 41, 93)( 42, 94)( 43, 95)( 44, 96)( 45, 97)( 46, 98)
( 47, 99)( 48,100)( 49,101)( 50,102)( 51,103)( 52,104) ],
[ ( 1, 3)( 2, 4)( 5, 7,26,17, 6, 8,25,18)( 9,11,42,31,10,12,41,32)
(13,40,35,43,14,39,36,44)(15,19,29,33,16,20,30,34)(21,38,27,24,22,37,
28,23)(45,48)(46,47)(49,52,70,62,50,51,69,61)(53,56,86,76,54,55,85,75)
(57,83,79,88,58,84,80,87)(59,64,73,78,60,63,74,77)(65,81,71,67,66,82,
72,68), ( 1, 3, 2, 4)( 5,17,32,15,10)( 6,18,31,16, 9)( 7,20,34,25,14)
( 8,19,33,26,13)(11,36,42,37,22)(12,35,41,38,21)(23,30,28,43,39)
(24,29,27,44,40)(45,47,46,48)(49,61,76,59,54)(50,62,75,60,53)
(51,64,78,69,58)(52,63,77,70,57)(55,80,86,81,66)(56,79,85,82,65)
(67,74,72,87,83)(68,73,71,88,84),
( 1,45, 2,46)( 3,47, 4,48)( 5,49, 6,50)( 7,51, 8,52)( 9,53,10,54)
(11,55,12,56)(13,57,14,58)(15,59,16,60)(17,61,18,62)(19,63,20,64)
(21,65,22,66)(23,67,24,68)(25,69,26,70)(27,71,28,72)(29,73,30,74)
(31,75,32,76)(33,77,34,78)(35,79,36,80)(37,81,38,82)(39,83,40,84)
(41,85,42,86)(43,87,44,88) ],
[ ( 1, 4, 2, 3)( 5, 44, 6, 43)( 7, 11, 8, 12)( 9, 29, 10, 30)
( 13, 20, 14, 19)( 15, 24, 16, 23)( 17, 22, 18, 21)( 25, 40, 26, 39)
( 27, 36, 28, 35)( 31, 50, 32, 49)( 33, 37, 34, 38)( 41, 52, 42, 51)
( 45, 47, 46, 48)( 53, 56, 54, 55)( 57, 96, 58, 95)( 59, 63, 60, 64)
( 61, 81, 62, 82)( 65, 72, 66, 71)( 67, 76, 68, 75)( 69, 74, 70, 73)
( 77, 92, 78, 91)( 79, 88, 80, 87)( 83,102, 84,101)( 85, 89, 86, 90)
( 93,104, 94,103)( 97, 99, 98,100),
( 1, 4)( 2, 3)( 5, 28, 12, 42, 6, 27, 11, 41)( 7, 46, 25, 35, 8,
45, 26, 36)( 9, 37, 24, 13, 10, 38, 23, 14)( 15, 52, 18, 48, 16, 51,
17, 47)( 19, 39, 31, 43, 20, 40, 32, 44)( 21, 49, 30, 34, 22, 50, 29,
33)( 53, 55)( 54, 56)( 57, 79, 64, 93, 58, 80, 63, 94)
( 59, 97, 77, 88, 60, 98, 78, 87)( 61, 90, 76, 66, 62, 89, 75, 65)
( 67,103, 70, 99, 68,104, 69,100)( 71, 92, 83, 96, 72, 91, 84, 95)
( 73,102, 82, 85, 74,101, 81, 86), ( 1, 53, 2, 54)( 3, 55, 4, 56)
( 5, 57, 6, 58)( 7, 59, 8, 60)( 9, 61, 10, 62)( 11, 63, 12, 64)
( 13, 65, 14, 66)( 15, 67, 16, 68)( 17, 69, 18, 70)( 19, 71, 20, 72)
( 21, 73, 22, 74)( 23, 75, 24, 76)( 25, 77, 26, 78)( 27, 79, 28, 80)
( 29, 81, 30, 82)( 31, 83, 32, 84)( 33, 85, 34, 86)( 35, 87, 36, 88)
( 37, 89, 38, 90)( 39, 91, 40, 92)( 41, 93, 42, 94)( 43, 95, 44, 96)
( 45, 97, 46, 98)( 47, 99, 48,100)( 49,101, 50,102)( 51,103, 52,104) ],
[ ( 1, 2)( 5, 49, 9, 38, 6, 50, 10, 37)( 7, 51, 11, 40, 8, 52, 12,
39)( 13, 43, 15, 42, 14, 44, 16, 41)( 17, 22, 31, 25, 18, 21, 32, 26)
( 19, 24, 30, 27, 20, 23, 29, 28)( 33, 47, 36, 45, 34, 48, 35, 46)
( 55, 56)( 57,102, 61, 89, 58,101, 62, 90)( 59,104, 63, 91, 60,103, 64,
92)( 65, 96, 67, 93, 66, 95, 68, 94)( 69, 73, 83, 78, 70, 74, 84, 77)
( 71, 75, 82, 80, 72, 76, 81, 79)( 85,100, 88, 98, 86, 99, 87, 97),
( 1, 4, 2, 3)( 5, 27, 35, 13, 21, 7, 26, 34, 15, 23, 6, 28, 36,
14, 22, 8, 25, 33, 16, 24)( 9, 11, 10, 12)( 17, 38, 46, 41, 51, 19,
40, 48, 43, 50, 18, 37, 45, 42, 52, 20, 39, 47, 44, 49)
( 29, 31, 30, 32)( 53, 56, 54, 55)( 57, 79, 87, 65, 73, 59, 78, 86, 67,
75, 58, 80, 88, 66, 74, 60, 77, 85, 68, 76)( 61, 63, 62, 64)
( 69, 90, 98, 93,103, 71, 92,100, 95,102, 70, 89, 97, 94,104, 72, 91,
99, 96,101)( 81, 83, 82, 84), ( 1, 53, 2, 54)( 3, 55, 4, 56)
( 5, 57)( 6, 58)( 7, 59)( 8, 60)( 9, 61)( 10, 62)( 11, 63)
( 12, 64)( 13, 65)( 14, 66)( 15, 67)( 16, 68)( 17, 69)( 18, 70)
( 19, 71)( 20, 72)( 21, 73)( 22, 74)( 23, 75)( 24, 76)( 25, 77)
( 26, 78)( 27, 79)( 28, 80)( 29, 81)( 30, 82)( 31, 83)( 32, 84)
( 33, 85)( 34, 86)( 35, 87)( 36, 88)( 37, 89)( 38, 90)( 39, 91)
( 40, 92)( 41, 93)( 42, 94)( 43, 95)( 44, 96)( 45, 97)( 46, 98)
( 47, 99)( 48,100)( 49,101)( 50,102)( 51,103)( 52,104) ],
[ ( 1, 3)( 2, 4)( 5, 7,26,17, 6, 8,25,18)( 9,11,42,31,10,12,41,32)
(13,40,35,43,14,39,36,44)(15,19,29,33,16,20,30,34)(21,38,27,24,22,37,
28,23)(45,48)(46,47)(49,51,70,61,50,52,69,62)(53,55,86,75,54,56,85,76)
(57,84,79,87,58,83,80,88)(59,63,73,77,60,64,74,78)(65,82,71,68,66,81,
72,67), ( 1, 3, 2, 4)( 5,17,32,15,10)( 6,18,31,16, 9)( 7,20,34,25,14)
( 8,19,33,26,13)(11,36,42,37,22)(12,35,41,38,21)(23,30,28,43,39)
(24,29,27,44,40)(45,47,46,48)(49,62,76,60,54,50,61,75,59,53)
(51,63,78,70,58,52,64,77,69,57)(55,79,86,82,66,56,80,85,81,65)
(67,73,72,88,83,68,74,71,87,84),
( 1,45, 2,46)( 3,47, 4,48)( 5,49, 6,50)( 7,51, 8,52)( 9,53,10,54)
(11,55,12,56)(13,57,14,58)(15,59,16,60)(17,61,18,62)(19,63,20,64)
(21,65,22,66)(23,67,24,68)(25,69,26,70)(27,71,28,72)(29,73,30,74)
(31,75,32,76)(33,77,34,78)(35,79,36,80)(37,81,38,82)(39,83,40,84)
(41,85,42,86)(43,87,44,88) ],
[ ( 1, 4, 2, 3)( 5, 44, 6, 43)( 7, 11, 8, 12)( 9, 29, 10, 30)
( 13, 20, 14, 19)( 15, 24, 16, 23)( 17, 22, 18, 21)( 25, 40, 26, 39)
( 27, 36, 28, 35)( 31, 50, 32, 49)( 33, 37, 34, 38)( 41, 52, 42, 51)
( 45, 47, 46, 48)( 53, 56, 54, 55)( 57, 95, 58, 96)( 59, 64, 60, 63)
( 61, 82, 62, 81)( 65, 71, 66, 72)( 67, 75, 68, 76)( 69, 73, 70, 74)
( 77, 91, 78, 92)( 79, 87, 80, 88)( 83,101, 84,102)( 85, 90, 86, 89)
( 93,103, 94,104)( 97,100, 98, 99),
( 1, 4)( 2, 3)( 5, 28, 12, 42, 6, 27, 11, 41)( 7, 46, 25, 35, 8,
45, 26, 36)( 9, 37, 24, 13, 10, 38, 23, 14)( 15, 52, 18, 48, 16, 51,
17, 47)( 19, 39, 31, 43, 20, 40, 32, 44)( 21, 49, 30, 34, 22, 50, 29,
33)( 53, 55)( 54, 56)( 57, 80, 64, 94, 58, 79, 63, 93)
( 59, 98, 77, 87, 60, 97, 78, 88)( 61, 89, 76, 65, 62, 90, 75, 66)
( 67,104, 70,100, 68,103, 69, 99)( 71, 91, 83, 95, 72, 92, 84, 96)
( 73,101, 82, 86, 74,102, 81, 85), ( 1, 53, 2, 54)( 3, 55, 4, 56)
( 5, 57, 6, 58)( 7, 59, 8, 60)( 9, 61, 10, 62)( 11, 63, 12, 64)
( 13, 65, 14, 66)( 15, 67, 16, 68)( 17, 69, 18, 70)( 19, 71, 20, 72)
( 21, 73, 22, 74)( 23, 75, 24, 76)( 25, 77, 26, 78)( 27, 79, 28, 80)
( 29, 81, 30, 82)( 31, 83, 32, 84)( 33, 85, 34, 86)( 35, 87, 36, 88)
( 37, 89, 38, 90)( 39, 91, 40, 92)( 41, 93, 42, 94)( 43, 95, 44, 96)
( 45, 97, 46, 98)( 47, 99, 48,100)( 49,101, 50,102)( 51,103, 52,104) ],
[ ( 1, 3)( 2, 4)( 5, 7,26,17, 6, 8,25,18)( 9,11,42,31,10,12,41,32)
(13,40,35,43,14,39,36,44)(15,19,29,33,16,20,30,34)(21,38,27,24,22,37,
28,23)(45,48)(46,47)(49,51,70,61,50,52,69,62)(53,55,86,75,54,56,85,76)
(57,84,79,87,58,83,80,88)(59,63,73,77,60,64,74,78)(65,82,71,68,66,81,
72,67), ( 1, 3, 2, 4)( 5,17,32,15,10)( 6,18,31,16, 9)( 7,20,34,25,14)
( 8,19,33,26,13)(11,36,42,37,22)(12,35,41,38,21)(23,30,28,43,39)
(24,29,27,44,40)(45,47,46,48)(49,62,76,60,54,50,61,75,59,53)
(51,63,78,70,58,52,64,77,69,57)(55,79,86,82,66,56,80,85,81,65)
(67,73,72,88,83,68,74,71,87,84), ( 1,45, 2,46)( 3,47, 4,48)( 5,49)
( 6,50)( 7,51)( 8,52)( 9,53)(10,54)(11,55)(12,56)(13,57)(14,58)(15,59)
(16,60)(17,61)(18,62)(19,63)(20,64)(21,65)(22,66)(23,67)(24,68)(25,69)
(26,70)(27,71)(28,72)(29,73)(30,74)(31,75)(32,76)(33,77)(34,78)(35,79)
(36,80)(37,81)(38,82)(39,83)(40,84)(41,85)(42,86)(43,87)(44,88) ],
[ ( 1, 4, 2, 3)( 5, 44, 6, 43)( 7, 11, 8, 12)( 9, 29, 10, 30)
( 13, 20, 14, 19)( 15, 24, 16, 23)( 17, 22, 18, 21)( 25, 40, 26, 39)
( 27, 36, 28, 35)( 31, 50, 32, 49)( 33, 37, 34, 38)( 41, 52, 42, 51)
( 45, 47, 46, 48)( 53, 56, 54, 55)( 57, 95, 58, 96)( 59, 64, 60, 63)
( 61, 82, 62, 81)( 65, 71, 66, 72)( 67, 75, 68, 76)( 69, 73, 70, 74)
( 77, 91, 78, 92)( 79, 87, 80, 88)( 83,101, 84,102)( 85, 90, 86, 89)
( 93,103, 94,104)( 97,100, 98, 99),
( 1, 4)( 2, 3)( 5, 28, 12, 42, 6, 27, 11, 41)( 7, 46, 25, 35, 8,
45, 26, 36)( 9, 37, 24, 13, 10, 38, 23, 14)( 15, 52, 18, 48, 16, 51,
17, 47)( 19, 39, 31, 43, 20, 40, 32, 44)( 21, 49, 30, 34, 22, 50, 29,
33)( 53, 55)( 54, 56)( 57, 80, 64, 94, 58, 79, 63, 93)
( 59, 98, 77, 87, 60, 97, 78, 88)( 61, 89, 76, 65, 62, 90, 75, 66)
( 67,104, 70,100, 68,103, 69, 99)( 71, 91, 83, 95, 72, 92, 84, 96)
( 73,101, 82, 86, 74,102, 81, 85), ( 1, 53, 2, 54)( 3, 55, 4, 56)
( 5, 57)( 6, 58)( 7, 59)( 8, 60)( 9, 61)( 10, 62)( 11, 63)
( 12, 64)( 13, 65)( 14, 66)( 15, 67)( 16, 68)( 17, 69)( 18, 70)
( 19, 71)( 20, 72)( 21, 73)( 22, 74)( 23, 75)( 24, 76)( 25, 77)
( 26, 78)( 27, 79)( 28, 80)( 29, 81)( 30, 82)( 31, 83)( 32, 84)
( 33, 85)( 34, 86)( 35, 87)( 36, 88)( 37, 89)( 38, 90)( 39, 91)
( 40, 92)( 41, 93)( 42, 94)( 43, 95)( 44, 96)( 45, 97)( 46, 98)
( 47, 99)( 48,100)( 49,101)( 50,102)( 51,103)( 52,104) ],
[ ( 1, 21, 12, 79, 68, 55, 7, 28, 15, 65, 49, 61, 37, 30, 3, 70, 16, 58,
50, 76, 9, 29, 14, 80, 67, 60, 6, 23, 20, 66, 51, 53, 33, 25, 8,
72, 17, 59, 52, 75)( 2, 48, 18, 71, 32, 44, 34, 22, 5, 41, 19, 56,
77, 42, 35, 26, 74, 47, 63, 62, 4, 43, 13, 69, 31, 45, 36, 24, 10,
46, 11, 54, 78, 40, 38, 27, 73, 39, 64, 57)( 81,101, 92,159,148,135,
87,108, 95,145,129,141,117,110, 83,150, 96,138,130,156, 89,109, 94,
160,147,140, 86,103,100,146,131,133,113,105, 88,152, 97,139,132,155)
( 82,128, 98,151,112,124,114,102, 85,121, 99,136,157,122,115,106,154,
127,143,142, 84,123, 93,149,111,125,116,104, 90,126, 91,134,158,120,
118,107,153,119,144,137), ( 1, 73, 68, 14, 9, 74, 67, 12)
( 2, 78, 19, 13, 4, 77, 11, 18)( 3, 37, 51, 34, 8, 33, 49, 36)
( 5, 20, 17, 32, 10, 15, 16, 31)( 6, 35, 63, 50, 7, 38, 64, 52)
( 21, 62, 40, 80, 29, 57, 42, 79)( 22, 26, 39, 45, 24, 27, 47, 44)
( 23, 72, 43, 75, 28, 70, 48, 76)( 25, 61, 41, 71, 30, 53, 46, 69)
( 54, 66, 58, 55, 56, 65, 59, 60)( 81,153,148, 94, 89,154,147, 92)
( 82,158, 99, 93, 84,157, 91, 98)( 83,117,131,114, 88,113,129,116)
( 85,100, 97,112, 90, 95, 96,111)( 86,115,143,130, 87,118,144,132)
(101,142,120,160,109,137,122,159)(102,106,119,125,104,107,127,124)
(103,152,123,155,108,150,128,156)(105,141,121,151,110,133,126,149)
(134,146,138,135,136,145,139,140), ( 1, 81)( 2, 82)( 3, 83)( 4, 84)
( 5, 85)( 6, 86)( 7, 87)( 8, 88)( 9, 89)( 10, 90)( 11, 91)
( 12, 92)( 13, 93)( 14, 94)( 15, 95)( 16, 96)( 17, 97)( 18, 98)
( 19, 99)( 20,100)( 21,101)( 22,102)( 23,103)( 24,104)( 25,105)
( 26,106)( 27,107)( 28,108)( 29,109)( 30,110)( 31,111)( 32,112)
( 33,113)( 34,114)( 35,115)( 36,116)( 37,117)( 38,118)( 39,119)
( 40,120)( 41,121)( 42,122)( 43,123)( 44,124)( 45,125)( 46,126)
( 47,127)( 48,128)( 49,129)( 50,130)( 51,131)( 52,132)( 53,133)
( 54,134)( 55,135)( 56,136)( 57,137)( 58,138)( 59,139)( 60,140)
( 61,141)( 62,142)( 63,143)( 64,144)( 65,145)( 66,146)( 67,147)
( 68,148)( 69,149)( 70,150)( 71,151)( 72,152)( 73,153)( 74,154)
( 75,155)( 76,156)( 77,157)( 78,158)( 79,159)( 80,160) ],
[ ( 1, 19, 37, 49, 2, 14)( 3, 5, 36, 38, 78, 50)( 4, 12, 9, 11, 33,
51)( 6, 7)( 8, 10, 34, 35, 77, 52)( 13, 20, 68, 63, 74, 32)
( 15, 67, 64, 73, 31, 18)( 21, 53)( 22, 79, 65, 40, 48, 62)
( 23, 72, 26, 28, 70, 27)( 24, 80, 66, 42, 43, 57)( 25, 75, 69, 56, 41,
47)( 29, 61)( 30, 76, 71, 54, 46, 39)( 44, 58, 55)( 45, 59, 60)
( 81, 99,117,129, 82, 94)( 83, 85,116,118,158,130)( 84, 92, 89, 91,113,
131)( 86, 87)( 88, 90,114,115,157,132)( 93,100,148,143,154,112)
( 95,147,144,153,111, 98)(101,133)(102,159,145,120,128,142)
(103,152,106,108,150,107)(104,160,146,122,123,137)(105,155,149,136,121,
127)(109,141)(110,156,151,134,126,119)(124,138,135)(125,139,140),
( 1, 45, 34, 60, 19, 54, 49, 27, 74, 72, 4, 48, 9, 44, 36, 55, 11, 56,
51, 26, 73, 70, 2, 43)( 3, 39, 33, 75, 13, 58, 67, 22, 12, 66, 78,
23, 8, 47, 37, 76, 18, 59, 68, 24, 14, 65, 77, 28)( 5, 41, 6, 40,
38, 61, 63, 62, 17, 71, 32, 29, 10, 46, 7, 42, 35, 53, 64, 57, 16,
69, 31, 21)( 15, 79, 52, 25, 20, 80, 50, 30)( 81,125,114,140, 99,134,
129,107,154,152, 84,128, 89,124,116,135, 91,136,131,106,153,150, 82,
123)( 83,119,113,155, 93,138,147,102, 92,146,158,103, 88,127,117,156,
98,139,148,104, 94,145,157,108)( 85,121, 86,120,118,141,143,142, 97,
151,112,109, 90,126, 87,122,115,133,144,137, 96,149,111,101)
( 95,159,132,105,100,160,130,110), ( 1, 81)( 2, 82)( 3, 83)( 4, 84)
( 5, 85)( 6, 86)( 7, 87)( 8, 88)( 9, 89)( 10, 90)( 11, 91)
( 12, 92)( 13, 93)( 14, 94)( 15, 95)( 16, 96)( 17, 97)( 18, 98)
( 19, 99)( 20,100)( 21,101)( 22,102)( 23,103)( 24,104)( 25,105)
( 26,106)( 27,107)( 28,108)( 29,109)( 30,110)( 31,111)( 32,112)
( 33,113)( 34,114)( 35,115)( 36,116)( 37,117)( 38,118)( 39,119)
( 40,120)( 41,121)( 42,122)( 43,123)( 44,124)( 45,125)( 46,126)
( 47,127)( 48,128)( 49,129)( 50,130)( 51,131)( 52,132)( 53,133)
( 54,134)( 55,135)( 56,136)( 57,137)( 58,138)( 59,139)( 60,140)
( 61,141)( 62,142)( 63,143)( 64,144)( 65,145)( 66,146)( 67,147)
( 68,148)( 69,149)( 70,150)( 71,151)( 72,152)( 73,153)( 74,154)
( 75,155)( 76,156)( 77,157)( 78,158)( 79,159)( 80,160) ],
[ ( 1, 75, 20, 73, 2, 65, 6, 59, 38, 76, 10, 53)( 3, 68, 18, 94, 25,
57, 14, 86, 35, 82, 28, 72)( 4, 89, 36, 88, 8, 80, 16, 74, 47, 90,
23, 63)( 5, 51, 21, 78, 9, 49, 17, 62, 7, 60, 24, 54)
( 11, 69, 34, 66, 30, 58, 27, 55, 46, 83, 12, 50)( 13, 84, 33, 96, 40,
70, 31, 95, 45, 92, 42, 87)( 15, 61, 37, 91, 22, 52, 32, 79, 19, 77,
39, 64)( 26, 85, 44, 81, 43, 71, 41, 67, 48, 93, 29, 56)
( 97,171,116,169, 98,161,102,155,134,172,106,149)( 99,164,114,190,121,
153,110,182,131,178,124,168)(100,185,132,184,104,176,112,170,143,186,
119,159)(101,147,117,174,105,145,113,158,103,156,120,150)
(107,165,130,162,126,154,123,151,142,179,108,146)(109,180,129,192,136,
166,127,191,141,188,138,183)(111,157,133,187,118,148,128,175,115,173,
135,160)(122,181,140,177,139,167,137,163,144,189,125,152),
( 1, 95, 28, 63, 6, 84, 25, 80)( 2, 74, 34, 93, 10, 89, 46, 81)
( 3, 77, 27, 90, 14, 91, 11, 88)( 4, 55, 42, 54, 16, 69, 40, 49)
( 5, 67, 12, 64, 17, 85, 30, 52)( 7, 87, 20, 56, 21, 70, 38, 71)
( 8, 62, 44, 94, 23, 51, 48, 82)( 9, 79, 35, 96, 24, 61, 18, 92)
( 13, 73, 41, 60, 31, 76, 26, 78)( 15, 68, 29, 65, 32, 86, 43, 53)
( 19, 50, 36, 57, 37, 58, 47, 72)( 22, 75, 45, 66, 39, 59, 33, 83)
( 97,191,124,159,102,180,121,176)( 98,170,130,189,106,185,142,177)
( 99,173,123,186,110,187,107,184)(100,151,138,150,112,165,136,145)
(101,163,108,160,113,181,126,148)(103,183,116,152,117,166,134,167)
(104,158,140,190,119,147,144,178)(105,175,131,192,120,157,114,188)
(109,169,137,156,127,172,122,174)(111,164,125,161,128,182,139,149)
(115,146,132,153,133,154,143,168)(118,171,141,162,135,155,129,179),
( 1, 97)( 2, 98)( 3, 99)( 4,100)( 5,101)( 6,102)( 7,103)( 8,104)
( 9,105)( 10,106)( 11,107)( 12,108)( 13,109)( 14,110)( 15,111)
( 16,112)( 17,113)( 18,114)( 19,115)( 20,116)( 21,117)( 22,118)
( 23,119)( 24,120)( 25,121)( 26,122)( 27,123)( 28,124)( 29,125)
( 30,126)( 31,127)( 32,128)( 33,129)( 34,130)( 35,131)( 36,132)
( 37,133)( 38,134)( 39,135)( 40,136)( 41,137)( 42,138)( 43,139)
( 44,140)( 45,141)( 46,142)( 47,143)( 48,144)( 49,145)( 50,146)
( 51,147)( 52,148)( 53,149)( 54,150)( 55,151)( 56,152)( 57,153)
( 58,154)( 59,155)( 60,156)( 61,157)( 62,158)( 63,159)( 64,160)
( 65,161)( 66,162)( 67,163)( 68,164)( 69,165)( 70,166)( 71,167)
( 72,168)( 73,169)( 74,170)( 75,171)( 76,172)( 77,173)( 78,174)
( 79,175)( 80,176)( 81,177)( 82,178)( 83,179)( 84,180)( 85,181)
( 86,182)( 87,183)( 88,184)( 89,185)( 90,186)( 91,187)( 92,188)
( 93,189)( 94,190)( 95,191)( 96,192) ],
[ ( 1, 21, 12, 79, 68, 55, 7, 28, 15, 65, 49, 61, 37, 30, 3, 70, 16, 58,
50, 76, 9, 29, 14, 80, 67, 60, 6, 23, 20, 66, 51, 53, 33, 25, 8,
72, 17, 59, 52, 75)( 2, 48, 18, 71, 32, 44, 34, 22, 5, 41, 19, 56,
77, 42, 35, 26, 74, 47, 63, 62, 4, 43, 13, 69, 31, 45, 36, 24, 10,
46, 11, 54, 78, 40, 38, 27, 73, 39, 64, 57)( 81,101, 92,159,148,135,
87,108, 95,145,129,141,117,110, 83,150, 96,138,130,156, 89,109, 94,
160,147,140, 86,103,100,146,131,133,113,105, 88,152, 97,139,132,155)
( 82,128, 98,151,112,124,114,102, 85,121, 99,136,157,122,115,106,154,
127,143,142, 84,123, 93,149,111,125,116,104, 90,126, 91,134,158,120,
118,107,153,119,144,137), ( 1, 73, 68, 14, 9, 74, 67, 12)
( 2, 78, 19, 13, 4, 77, 11, 18)( 3, 37, 51, 34, 8, 33, 49, 36)
( 5, 20, 17, 32, 10, 15, 16, 31)( 6, 35, 63, 50, 7, 38, 64, 52)
( 21, 62, 40, 80, 29, 57, 42, 79)( 22, 26, 39, 45, 24, 27, 47, 44)
( 23, 72, 43, 75, 28, 70, 48, 76)( 25, 61, 41, 71, 30, 53, 46, 69)
( 54, 66, 58, 55, 56, 65, 59, 60)( 81,153,148, 94, 89,154,147, 92)
( 82,158, 99, 93, 84,157, 91, 98)( 83,117,131,114, 88,113,129,116)
( 85,100, 97,112, 90, 95, 96,111)( 86,115,143,130, 87,118,144,132)
(101,142,120,160,109,137,122,159)(102,106,119,125,104,107,127,124)
(103,152,123,155,108,150,128,156)(105,141,121,151,110,133,126,149)
(134,146,138,135,136,145,139,140), ( 1, 81, 9, 89)( 2, 82, 4, 84)
( 3, 83, 8, 88)( 5, 85, 10, 90)( 6, 86, 7, 87)( 11, 91, 19, 99)
( 12, 92, 14, 94)( 13, 93, 18, 98)( 15, 95, 20,100)( 16, 96, 17, 97)
( 21,101, 29,109)( 22,102, 24,104)( 23,103, 28,108)( 25,105, 30,110)
( 26,106, 27,107)( 31,111, 32,112)( 33,113, 37,117)( 34,114, 36,116)
( 35,115, 38,118)( 39,119, 47,127)( 40,120, 42,122)( 41,121, 46,126)
( 43,123, 48,128)( 44,124, 45,125)( 49,129, 51,131)( 50,130, 52,132)
( 53,133, 61,141)( 54,134, 56,136)( 55,135, 60,140)( 57,137, 62,142)
( 58,138, 59,139)( 63,143, 64,144)( 65,145, 66,146)( 67,147, 68,148)
( 69,149, 71,151)( 70,150, 72,152)( 73,153, 74,154)( 75,155, 76,156)
( 77,157, 78,158)( 79,159, 80,160) ],
[ ( 1, 21, 12, 79, 68, 55, 7, 28, 15, 65, 49, 61, 37, 30, 3, 70, 16, 58,
50, 76, 9, 29, 14, 80, 67, 60, 6, 23, 20, 66, 51, 53, 33, 25, 8,
72, 17, 59, 52, 75)( 2, 48, 18, 71, 32, 44, 34, 22, 5, 41, 19, 56,
77, 42, 35, 26, 74, 47, 63, 62, 4, 43, 13, 69, 31, 45, 36, 24, 10,
46, 11, 54, 78, 40, 38, 27, 73, 39, 64, 57)( 81,109, 92,160,148,140,
87,103, 95,146,129,133,117,105, 83,152, 96,139,130,155, 89,101, 94,
159,147,135, 86,108,100,145,131,141,113,110, 88,150, 97,138,132,156)
( 82,123, 98,149,112,125,114,104, 85,126, 99,134,157,120,115,107,154,
119,143,137, 84,128, 93,151,111,124,116,102, 90,121, 91,136,158,122,
118,106,153,127,144,142), ( 1, 73, 68, 14, 9, 74, 67, 12)
( 2, 78, 19, 13, 4, 77, 11, 18)( 3, 37, 51, 34, 8, 33, 49, 36)
( 5, 20, 17, 32, 10, 15, 16, 31)( 6, 35, 63, 50, 7, 38, 64, 52)
( 21, 62, 40, 80, 29, 57, 42, 79)( 22, 26, 39, 45, 24, 27, 47, 44)
( 23, 72, 43, 75, 28, 70, 48, 76)( 25, 61, 41, 71, 30, 53, 46, 69)
( 54, 66, 58, 55, 56, 65, 59, 60)( 81,153,148, 94, 89,154,147, 92)
( 82,158, 99, 93, 84,157, 91, 98)( 83,117,131,114, 88,113,129,116)
( 85,100, 97,112, 90, 95, 96,111)( 86,115,143,130, 87,118,144,132)
(101,142,120,160,109,137,122,159)(102,106,119,125,104,107,127,124)
(103,152,123,155,108,150,128,156)(105,141,121,151,110,133,126,149)
(134,146,138,135,136,145,139,140), ( 1, 81)( 2, 82)( 3, 83)( 4, 84)
( 5, 85)( 6, 86)( 7, 87)( 8, 88)( 9, 89)( 10, 90)( 11, 91)
( 12, 92)( 13, 93)( 14, 94)( 15, 95)( 16, 96)( 17, 97)( 18, 98)
( 19, 99)( 20,100)( 21,101)( 22,102)( 23,103)( 24,104)( 25,105)
( 26,106)( 27,107)( 28,108)( 29,109)( 30,110)( 31,111)( 32,112)
( 33,113)( 34,114)( 35,115)( 36,116)( 37,117)( 38,118)( 39,119)
( 40,120)( 41,121)( 42,122)( 43,123)( 44,124)( 45,125)( 46,126)
( 47,127)( 48,128)( 49,129)( 50,130)( 51,131)( 52,132)( 53,133)
( 54,134)( 55,135)( 56,136)( 57,137)( 58,138)( 59,139)( 60,140)
( 61,141)( 62,142)( 63,143)( 64,144)( 65,145)( 66,146)( 67,147)
( 68,148)( 69,149)( 70,150)( 71,151)( 72,152)( 73,153)( 74,154)
( 75,155)( 76,156)( 77,157)( 78,158)( 79,159)( 80,160) ],
[ ( 1, 21, 12, 79, 68, 55, 7, 28, 15, 65, 49, 61, 37, 30, 3, 70, 16, 58,
50, 76, 9, 29, 14, 80, 67, 60, 6, 23, 20, 66, 51, 53, 33, 25, 8,
72, 17, 59, 52, 75)( 2, 48, 18, 71, 32, 44, 34, 22, 5, 41, 19, 56,
77, 42, 35, 26, 74, 47, 63, 62, 4, 43, 13, 69, 31, 45, 36, 24, 10,
46, 11, 54, 78, 40, 38, 27, 73, 39, 64, 57)( 81,109, 92,160,148,140,
87,103, 95,146,129,133,117,105, 83,152, 96,139,130,155, 89,101, 94,
159,147,135, 86,108,100,145,131,141,113,110, 88,150, 97,138,132,156)
( 82,123, 98,149,112,125,114,104, 85,126, 99,134,157,120,115,107,154,
119,143,137, 84,128, 93,151,111,124,116,102, 90,121, 91,136,158,122,
118,106,153,127,144,142), ( 1, 73, 68, 14, 9, 74, 67, 12)
( 2, 78, 19, 13, 4, 77, 11, 18)( 3, 37, 51, 34, 8, 33, 49, 36)
( 5, 20, 17, 32, 10, 15, 16, 31)( 6, 35, 63, 50, 7, 38, 64, 52)
( 21, 62, 40, 80, 29, 57, 42, 79)( 22, 26, 39, 45, 24, 27, 47, 44)
( 23, 72, 43, 75, 28, 70, 48, 76)( 25, 61, 41, 71, 30, 53, 46, 69)
( 54, 66, 58, 55, 56, 65, 59, 60)( 81,153,148, 94, 89,154,147, 92)
( 82,158, 99, 93, 84,157, 91, 98)( 83,117,131,114, 88,113,129,116)
( 85,100, 97,112, 90, 95, 96,111)( 86,115,143,130, 87,118,144,132)
(101,142,120,160,109,137,122,159)(102,106,119,125,104,107,127,124)
(103,152,123,155,108,150,128,156)(105,141,121,151,110,133,126,149)
(134,146,138,135,136,145,139,140), ( 1, 81, 9, 89)( 2, 82, 4, 84)
( 3, 83, 8, 88)( 5, 85, 10, 90)( 6, 86, 7, 87)( 11, 91, 19, 99)
( 12, 92, 14, 94)( 13, 93, 18, 98)( 15, 95, 20,100)( 16, 96, 17, 97)
( 21,101, 29,109)( 22,102, 24,104)( 23,103, 28,108)( 25,105, 30,110)
( 26,106, 27,107)( 31,111, 32,112)( 33,113, 37,117)( 34,114, 36,116)
( 35,115, 38,118)( 39,119, 47,127)( 40,120, 42,122)( 41,121, 46,126)
( 43,123, 48,128)( 44,124, 45,125)( 49,129, 51,131)( 50,130, 52,132)
( 53,133, 61,141)( 54,134, 56,136)( 55,135, 60,140)( 57,137, 62,142)
( 58,138, 59,139)( 63,143, 64,144)( 65,145, 66,146)( 67,147, 68,148)
( 69,149, 71,151)( 70,150, 72,152)( 73,153, 74,154)( 75,155, 76,156)
( 77,157, 78,158)( 79,159, 80,160) ],
[ ( 1, 3)( 2, 4)( 5, 7,26,17, 6, 8,25,18)( 9,11,42,31,10,12,41,32)
(13,40,35,43,14,39,36,44)(15,19,29,33,16,20,30,34)(21,38,27,24,22,37,
28,23)(45,47)(46,48)(49,51,70,61,50,52,69,62)(53,55,86,75,54,56,85,76)
(57,84,79,87,58,83,80,88)(59,63,73,77,60,64,74,78)(65,82,71,68,66,81,
72,67), ( 1, 3, 2, 4)( 5,17,32,15,10)( 6,18,31,16, 9)( 7,20,34,25,14)
( 8,19,33,26,13)(11,36,42,37,22)(12,35,41,38,21)(23,30,28,43,39)
(24,29,27,44,40)(45,48,46,47)(49,62,76,60,54,50,61,75,59,53)
(51,63,78,70,58,52,64,77,69,57)(55,79,86,82,66,56,80,85,81,65)
(67,73,72,88,83,68,74,71,87,84), ( 1,45)( 2,46)( 3,47)( 4,48)( 5,49)
( 6,50)( 7,51)( 8,52)( 9,53)(10,54)(11,55)(12,56)(13,57)(14,58)(15,59)
(16,60)(17,61)(18,62)(19,63)(20,64)(21,65)(22,66)(23,67)(24,68)(25,69)
(26,70)(27,71)(28,72)(29,73)(30,74)(31,75)(32,76)(33,77)(34,78)(35,79)
(36,80)(37,81)(38,82)(39,83)(40,84)(41,85)(42,86)(43,87)(44,88) ],
[ ( 1, 4, 2, 3)( 5,23,30, 9,28, 7,22,32,11,25, 6,24,29,10,27, 8,21,31,12,26
)(13,20,37,44,36,15,17,39,41,33,14,19,38,43,35,16,18,40,42,34)
(45,47,46,48)(49,68,74,54,72,52,66,75,55,70,50,67,73,53,71,51,65,76,56,
69)(57,63,81,87,80,60,61,84,85,78,58,64,82,88,79,59,62,83,86,77),
( 1, 4, 2, 3)( 5,33,12,26, 6,34,11,25)( 7,36, 9,27, 8,35,10,28)
(13,42,24,31,14,41,23,32)(15,43,21,29,16,44,22,30)(17,40,20,37,18,39,
19,38)(45,47,46,48)(49,78,56,69,50,77,55,70)(51,79,53,72,52,80,54,71)
(57,85,68,76,58,86,67,75)(59,88,65,74,60,87,66,73)(61,83,64,82,62,84,
63,81), ( 1,45)( 2,46)( 3,47)( 4,48)( 5,49)( 6,50)( 7,51)( 8,52)
( 9,53)(10,54)(11,55)(12,56)(13,57)(14,58)(15,59)(16,60)(17,61)(18,62)
(19,63)(20,64)(21,65)(22,66)(23,67)(24,68)(25,69)(26,70)(27,71)(28,72)
(29,73)(30,74)(31,75)(32,76)(33,77)(34,78)(35,79)(36,80)(37,81)(38,82)
(39,83)(40,84)(41,85)(42,86)(43,87)(44,88) ],
[ ( 1, 4, 2, 3)( 5,23,30, 9,28, 7,22,32,11,25, 6,24,29,10,27, 8,21,31,12,26
)(13,20,37,44,36,15,17,39,41,33,14,19,38,43,35,16,18,40,42,34)
(45,47,46,48)(49,68,74,54,72,52,66,75,55,70,50,67,73,53,71,51,65,76,56,
69)(57,63,81,87,80,60,61,84,85,78,58,64,82,88,79,59,62,83,86,77),
( 1, 4, 2, 3)( 5,33,12,26, 6,34,11,25)( 7,36, 9,27, 8,35,10,28)
(13,42,24,31,14,41,23,32)(15,43,21,29,16,44,22,30)(17,40,20,37,18,39,
19,38)(45,47,46,48)(49,78,56,69,50,77,55,70)(51,79,53,72,52,80,54,71)
(57,85,68,76,58,86,67,75)(59,88,65,74,60,87,66,73)(61,83,64,82,62,84,
63,81), ( 1,45)( 2,46)( 3,47)( 4,48)( 5,49, 6,50)( 7,51, 8,52)
( 9,53,10,54)(11,55,12,56)(13,57,14,58)(15,59,16,60)(17,61,18,62)
(19,63,20,64)(21,65,22,66)(23,67,24,68)(25,69,26,70)(27,71,28,72)
(29,73,30,74)(31,75,32,76)(33,77,34,78)(35,79,36,80)(37,81,38,82)
(39,83,40,84)(41,85,42,86)(43,87,44,88) ],
[ ( 1, 4, 2, 3)( 5, 44, 6, 43)( 7, 11, 8, 12)( 9, 29, 10, 30)
( 13, 20, 14, 19)( 15, 24, 16, 23)( 17, 22, 18, 21)( 25, 40, 26, 39)
( 27, 36, 28, 35)( 31, 50, 32, 49)( 33, 37, 34, 38)( 41, 52, 42, 51)
( 45, 47, 46, 48)( 53, 55, 54, 56)( 57, 95, 58, 96)( 59, 64, 60, 63)
( 61, 82, 62, 81)( 65, 71, 66, 72)( 67, 75, 68, 76)( 69, 73, 70, 74)
( 77, 91, 78, 92)( 79, 87, 80, 88)( 83,101, 84,102)( 85, 90, 86, 89)
( 93,103, 94,104)( 97,100, 98, 99),
( 1, 4)( 2, 3)( 5, 28, 12, 42, 6, 27, 11, 41)( 7, 46, 25, 35, 8,
45, 26, 36)( 9, 37, 24, 13, 10, 38, 23, 14)( 15, 52, 18, 48, 16, 51,
17, 47)( 19, 39, 31, 43, 20, 40, 32, 44)( 21, 49, 30, 34, 22, 50, 29,
33)( 53, 56)( 54, 55)( 57, 80, 64, 94, 58, 79, 63, 93)
( 59, 98, 77, 87, 60, 97, 78, 88)( 61, 89, 76, 65, 62, 90, 75, 66)
( 67,104, 70,100, 68,103, 69, 99)( 71, 91, 83, 95, 72, 92, 84, 96)
( 73,101, 82, 86, 74,102, 81, 85), ( 1, 53)( 2, 54)( 3, 55)( 4, 56)
( 5, 57, 6, 58)( 7, 59, 8, 60)( 9, 61, 10, 62)( 11, 63, 12, 64)
( 13, 65, 14, 66)( 15, 67, 16, 68)( 17, 69, 18, 70)( 19, 71, 20, 72)
( 21, 73, 22, 74)( 23, 75, 24, 76)( 25, 77, 26, 78)( 27, 79, 28, 80)
( 29, 81, 30, 82)( 31, 83, 32, 84)( 33, 85, 34, 86)( 35, 87, 36, 88)
( 37, 89, 38, 90)( 39, 91, 40, 92)( 41, 93, 42, 94)( 43, 95, 44, 96)
( 45, 97, 46, 98)( 47, 99, 48,100)( 49,101, 50,102)( 51,103, 52,104) ],
[ ( 1, 4, 2, 3)( 5, 44, 6, 43)( 7, 11, 8, 12)( 9, 29, 10, 30)
( 13, 20, 14, 19)( 15, 24, 16, 23)( 17, 22, 18, 21)( 25, 40, 26, 39)
( 27, 36, 28, 35)( 31, 50, 32, 49)( 33, 37, 34, 38)( 41, 52, 42, 51)
( 45, 47, 46, 48)( 53, 55, 54, 56)( 57, 95, 58, 96)( 59, 64, 60, 63)
( 61, 82, 62, 81)( 65, 71, 66, 72)( 67, 75, 68, 76)( 69, 73, 70, 74)
( 77, 91, 78, 92)( 79, 87, 80, 88)( 83,101, 84,102)( 85, 90, 86, 89)
( 93,103, 94,104)( 97,100, 98, 99),
( 1, 4)( 2, 3)( 5, 28, 12, 42, 6, 27, 11, 41)( 7, 46, 25, 35, 8,
45, 26, 36)( 9, 37, 24, 13, 10, 38, 23, 14)( 15, 52, 18, 48, 16, 51,
17, 47)( 19, 39, 31, 43, 20, 40, 32, 44)( 21, 49, 30, 34, 22, 50, 29,
33)( 53, 56)( 54, 55)( 57, 80, 64, 94, 58, 79, 63, 93)
( 59, 98, 77, 87, 60, 97, 78, 88)( 61, 89, 76, 65, 62, 90, 75, 66)
( 67,104, 70,100, 68,103, 69, 99)( 71, 91, 83, 95, 72, 92, 84, 96)
( 73,101, 82, 86, 74,102, 81, 85), ( 1, 53)( 2, 54)( 3, 55)( 4, 56)
( 5, 57)( 6, 58)( 7, 59)( 8, 60)( 9, 61)( 10, 62)( 11, 63)
( 12, 64)( 13, 65)( 14, 66)( 15, 67)( 16, 68)( 17, 69)( 18, 70)
( 19, 71)( 20, 72)( 21, 73)( 22, 74)( 23, 75)( 24, 76)( 25, 77)
( 26, 78)( 27, 79)( 28, 80)( 29, 81)( 30, 82)( 31, 83)( 32, 84)
( 33, 85)( 34, 86)( 35, 87)( 36, 88)( 37, 89)( 38, 90)( 39, 91)
( 40, 92)( 41, 93)( 42, 94)( 43, 95)( 44, 96)( 45, 97)( 46, 98)
( 47, 99)( 48,100)( 49,101)( 50,102)( 51,103)( 52,104) ],
[ ( 5, 40, 13, 30, 34, 51, 6, 39, 14, 29, 33, 52)( 7, 37, 15, 32, 36,
50, 8, 38, 16, 31, 35, 49)( 9, 47, 23, 18, 27, 41, 10, 48, 24, 17,
28, 42)( 11, 46, 22, 20, 26, 43, 12, 45, 21, 19, 25, 44)
( 57, 92, 65, 82, 86,103, 58, 91, 66, 81, 85,104)( 59, 89, 67, 84, 88,
102, 60, 90, 68, 83, 87,101)( 61, 99, 75, 70, 79, 93, 62,100, 76, 69,
80, 94)( 63, 98, 74, 72, 78, 95, 64, 97, 73, 71, 77, 96),
( 1, 3, 2, 4)( 5, 31, 36, 44, 28, 51, 6, 32, 35, 43, 27, 52)
( 7, 30, 33, 41, 25, 50, 8, 29, 34, 42, 26, 49)( 9, 47, 16, 40, 22,
19, 10, 48, 15, 39, 21, 20)( 11, 46, 13, 37, 24, 18, 12, 45, 14, 38,
23, 17)( 53, 56, 54, 55)( 57, 84, 88, 95, 80,104, 58, 83, 87, 96, 79,
103)( 59, 81, 85, 94, 77,101, 60, 82, 86, 93, 78,102)( 61,100, 68, 91,
74, 72, 62, 99, 67, 92, 73, 71)( 63, 97, 65, 90, 76, 69, 64, 98, 66,
89, 75, 70), ( 1, 53)( 2, 54)( 3, 55)( 4, 56)( 5, 57)( 6, 58)
( 7, 59)( 8, 60)( 9, 61)( 10, 62)( 11, 63)( 12, 64)( 13, 65)
( 14, 66)( 15, 67)( 16, 68)( 17, 69)( 18, 70)( 19, 71)( 20, 72)
( 21, 73)( 22, 74)( 23, 75)( 24, 76)( 25, 77)( 26, 78)( 27, 79)
( 28, 80)( 29, 81)( 30, 82)( 31, 83)( 32, 84)( 33, 85)( 34, 86)
( 35, 87)( 36, 88)( 37, 89)( 38, 90)( 39, 91)( 40, 92)( 41, 93)
( 42, 94)( 43, 95)( 44, 96)( 45, 97)( 46, 98)( 47, 99)( 48,100)
( 49,101)( 50,102)( 51,103)( 52,104) ],
[ ( 1, 3)( 2, 4)( 5, 7,26,17, 6, 8,25,18)( 9,11,42,31,10,12,41,32)
(13,40,35,43,14,39,36,44)(15,19,29,33,16,20,30,34)(21,38,27,24,22,37,
28,23)(45,47)(46,48)(49,51,70,61,50,52,69,62)(53,55,86,75,54,56,85,76)
(57,84,79,87,58,83,80,88)(59,63,73,77,60,64,74,78)(65,82,71,68,66,81,
72,67), ( 1, 3, 2, 4)( 5,17,32,15,10)( 6,18,31,16, 9)( 7,20,34,25,14)
( 8,19,33,26,13)(11,36,42,37,22)(12,35,41,38,21)(23,30,28,43,39)
(24,29,27,44,40)(45,48,46,47)(49,62,76,60,54,50,61,75,59,53)
(51,63,78,70,58,52,64,77,69,57)(55,79,86,82,66,56,80,85,81,65)
(67,73,72,88,83,68,74,71,87,84),
( 1,45)( 2,46)( 3,47)( 4,48)( 5,49, 6,50)( 7,51, 8,52)( 9,53,10,54)
(11,55,12,56)(13,57,14,58)(15,59,16,60)(17,61,18,62)(19,63,20,64)
(21,65,22,66)(23,67,24,68)(25,69,26,70)(27,71,28,72)(29,73,30,74)
(31,75,32,76)(33,77,34,78)(35,79,36,80)(37,81,38,82)(39,83,40,84)
(41,85,42,86)(43,87,44,88) ],
[ ( 5, 40, 13, 30, 34, 51, 6, 39, 14, 29, 33, 52)( 7, 37, 15, 32, 36,
50, 8, 38, 16, 31, 35, 49)( 9, 47, 23, 18, 27, 41, 10, 48, 24, 17,
28, 42)( 11, 46, 22, 20, 26, 43, 12, 45, 21, 19, 25, 44)
( 57, 92, 65, 82, 86,103, 58, 91, 66, 81, 85,104)( 59, 89, 67, 84, 88,
102, 60, 90, 68, 83, 87,101)( 61, 99, 75, 70, 79, 93, 62,100, 76, 69,
80, 94)( 63, 98, 74, 72, 78, 95, 64, 97, 73, 71, 77, 96),
( 1, 3, 2, 4)( 5, 31, 36, 44, 28, 51, 6, 32, 35, 43, 27, 52)
( 7, 30, 33, 41, 25, 50, 8, 29, 34, 42, 26, 49)( 9, 47, 16, 40, 22,
19, 10, 48, 15, 39, 21, 20)( 11, 46, 13, 37, 24, 18, 12, 45, 14, 38,
23, 17)( 53, 56, 54, 55)( 57, 84, 88, 95, 80,104, 58, 83, 87, 96, 79,
103)( 59, 81, 85, 94, 77,101, 60, 82, 86, 93, 78,102)( 61,100, 68, 91,
74, 72, 62, 99, 67, 92, 73, 71)( 63, 97, 65, 90, 76, 69, 64, 98, 66,
89, 75, 70), ( 1, 53)( 2, 54)( 3, 55)( 4, 56)( 5, 57, 6, 58)
( 7, 59, 8, 60)( 9, 61, 10, 62)( 11, 63, 12, 64)( 13, 65, 14, 66)
( 15, 67, 16, 68)( 17, 69, 18, 70)( 19, 71, 20, 72)( 21, 73, 22, 74)
( 23, 75, 24, 76)( 25, 77, 26, 78)( 27, 79, 28, 80)( 29, 81, 30, 82)
( 31, 83, 32, 84)( 33, 85, 34, 86)( 35, 87, 36, 88)( 37, 89, 38, 90)
( 39, 91, 40, 92)( 41, 93, 42, 94)( 43, 95, 44, 96)( 45, 97, 46, 98)
( 47, 99, 48,100)( 49,101, 50,102)( 51,103, 52,104) ],
[ ( 1, 2,35,16,22,18,11,37)( 3, 4, 8, 6,23,24,34,33)( 5,32,36,31,20,10,27,
9)( 7,25,15,29,19,12,38,26)(13,40,21,39,14,28,30,17)(45,54,65,52,66,
76,74,78)(46,48,75,63,62,68,53,51)(47,82,61,64,67,59,83,49)
(50,72,79,73,77,84,55,70)(56,71,60,57,69,80,81,58),
( 1,28,14,37,26,22,40,13,16,29)( 2,10,35,34, 4,18,32,11, 8,24)
( 3,25,33,27,20,23,12, 6,36, 5)( 7,38,39,31,30,19,15,17, 9,21)
(41,43,42,44)(45,46,84,51,74,66,62,72,63,65)(47,76,82,53,48,67,54,59,
75,68)(49,56,58,83,73,64,69,57,61,70)(50,55,60,78,80,77,79,81,52,71)
(85,88,86,87), ( 1,45)( 2,46)( 3,47)( 4,48)( 5,49)( 6,50)( 7,51)( 8,52)
( 9,53)(10,54)(11,55)(12,56)(13,57)(14,58)(15,59)(16,60)(17,61)(18,62)
(19,63)(20,64)(21,65)(22,66)(23,67)(24,68)(25,69)(26,70)(27,71)(28,72)
(29,73)(30,74)(31,75)(32,76)(33,77)(34,78)(35,79)(36,80)(37,81)(38,82)
(39,83)(40,84)(41,85)(42,86)(43,87)(44,88) ],
[ ( 1, 2,35,16,22,18,11,37)( 3, 4, 8, 6,23,24,34,33)( 5,32,36,31,20,10,27,
9)( 7,25,15,29,19,12,38,26)(13,40,21,39,14,28,30,17)(45,54,65,52,66,
76,74,78)(46,48,75,63,62,68,53,51)(47,82,61,64,67,59,83,49)
(50,72,79,73,77,84,55,70)(56,71,60,57,69,80,81,58),
( 1,28,14,37,26,22,40,13,16,29)( 2,10,35,34, 4,18,32,11, 8,24)
( 3,25,33,27,20,23,12, 6,36, 5)( 7,38,39,31,30,19,15,17, 9,21)
(41,43,42,44)(45,62,84,63,74)(46,72,51,65,66)(47,54,82,75,48)
(49,69,58,61,73)(50,79,60,52,80)(53,68,67,76,59)(55,81,78,71,77)
(56,57,83,70,64)(85,88,86,87), ( 1,45)( 2,46)( 3,47)( 4,48)( 5,49)
( 6,50)( 7,51)( 8,52)( 9,53)(10,54)(11,55)(12,56)(13,57)(14,58)(15,59)
(16,60)(17,61)(18,62)(19,63)(20,64)(21,65)(22,66)(23,67)(24,68)(25,69)
(26,70)(27,71)(28,72)(29,73)(30,74)(31,75)(32,76)(33,77)(34,78)(35,79)
(36,80)(37,81)(38,82)(39,83)(40,84)(41,85)(42,86)(43,87)(44,88) ],
[ ( 1, 2,35,16,22,18,11,37)( 3, 4, 8, 6,23,24,34,33)( 5,32,36,31,20,10,27,
9)( 7,25,15,29,19,12,38,26)(13,40,21,39,14,28,30,17)(45,54,65,52,66,
76,74,78)(46,48,75,63,62,68,53,51)(47,82,61,64,67,59,83,49)
(50,72,79,73,77,84,55,70)(56,71,60,57,69,80,81,58),
( 1,28,14,37,26,22,40,13,16,29)( 2,10,35,34, 4,18,32,11, 8,24)
( 3,25,33,27,20,23,12, 6,36, 5)( 7,38,39,31,30,19,15,17, 9,21)
(41,43,42,44)(45,46,84,51,74,66,62,72,63,65)(47,76,82,53,48,67,54,59,
75,68)(49,56,58,83,73,64,69,57,61,70)(50,55,60,78,80,77,79,81,52,71)
(85,88,86,87), ( 1,45,22,66)( 2,46,18,62)( 3,47,23,67)( 4,48,24,68)
( 5,49,20,64)( 6,50,33,77)( 7,51,19,63)( 8,52,34,78)( 9,53,31,75)
(10,54,32,76)(11,55,35,79)(12,56,25,69)(13,57,14,58)(15,59,38,82)
(16,60,37,81)(17,61,39,83)(21,65,30,74)(26,70,29,73)(27,71,36,80)
(28,72,40,84)(41,85)(42,86)(43,87)(44,88) ],
[ ( 1, 5, 18)( 2, 10, 24)( 3, 15, 6)( 4, 20, 12)( 7, 8, 23)
( 9, 13, 14)( 11, 19, 16)( 17, 21, 22)( 25, 29, 42)( 26, 34, 48)
( 27, 39, 30)( 28, 44, 36)( 31, 32, 47)( 33, 37, 38)( 35, 43, 40)
( 41, 45, 46)( 49, 51, 50, 52)( 53, 67, 70, 55, 57, 58)
( 54, 72, 76, 56, 62, 64)( 59, 68, 75, 71, 60, 63)( 61, 73, 66, 69, 65,
74)( 77, 91, 94, 79, 81, 82)( 78, 96,100, 80, 86, 88)( 83, 92, 99, 95,
84, 87)( 85, 97, 90, 93, 89, 98)(101,104,102,103),
( 1, 44, 23, 31, 24, 46, 3, 34, 11, 43, 12, 38)( 2, 29, 9, 37, 6,
32, 4, 39, 17, 45, 18, 40)( 5, 47, 13, 48, 8, 27, 15, 35, 21, 36,
16, 25)( 7, 42, 22, 26, 10, 33, 19, 30, 14, 28, 20, 41)
( 53, 86, 75, 95, 76, 90, 55, 96, 63, 83, 64, 98)( 54, 91, 61, 97, 58,
92, 56, 81, 69, 89, 70, 84)( 57, 87, 65, 88, 60, 77, 67, 99, 73,100,
68, 79)( 59, 82, 74, 80, 62, 93, 71, 94, 66, 78, 72, 85),
( 1, 53)( 2, 54)( 3, 55)( 4, 56)( 5, 57)( 6, 58)( 7, 59)( 8, 60)
( 9, 61)( 10, 62)( 11, 63)( 12, 64)( 13, 65)( 14, 66)( 15, 67)
( 16, 68)( 17, 69)( 18, 70)( 19, 71)( 20, 72)( 21, 73)( 22, 74)
( 23, 75)( 24, 76)( 25, 77)( 26, 78)( 27, 79)( 28, 80)( 29, 81)
( 30, 82)( 31, 83)( 32, 84)( 33, 85)( 34, 86)( 35, 87)( 36, 88)
( 37, 89)( 38, 90)( 39, 91)( 40, 92)( 41, 93)( 42, 94)( 43, 95)
( 44, 96)( 45, 97)( 46, 98)( 47, 99)( 48,100)( 49,101)( 50,102)
( 51,103)( 52,104) ],
[ ( 1, 5, 18)( 2, 10, 24)( 3, 15, 6)( 4, 20, 12)( 7, 8, 23)
( 9, 13, 14)( 11, 19, 16)( 17, 21, 22)( 25, 29, 42)( 26, 34, 48)
( 27, 39, 30)( 28, 44, 36)( 31, 32, 47)( 33, 37, 38)( 35, 43, 40)
( 41, 45, 46)( 49, 51, 50, 52)( 53, 57, 70)( 54, 62, 76)( 55, 67, 58)
( 56, 72, 64)( 59, 60, 75)( 61, 65, 66)( 63, 71, 68)( 69, 73, 74)
( 77, 81, 94)( 78, 86,100)( 79, 91, 82)( 80, 96, 88)( 83, 84, 99)
( 85, 89, 90)( 87, 95, 92)( 93, 97, 98)(101,104,102,103),
( 1, 44, 23, 31, 24, 46, 3, 34, 11, 43, 12, 38)( 2, 29, 9, 37, 6,
32, 4, 39, 17, 45, 18, 40)( 5, 47, 13, 48, 8, 27, 15, 35, 21, 36,
16, 25)( 7, 42, 22, 26, 10, 33, 19, 30, 14, 28, 20, 41)
( 53, 86, 75, 95, 76, 90, 55, 96, 63, 83, 64, 98)( 54, 91, 61, 97, 58,
92, 56, 81, 69, 89, 70, 84)( 57, 87, 65, 88, 60, 77, 67, 99, 73,100,
68, 79)( 59, 82, 74, 80, 62, 93, 71, 94, 66, 78, 72, 85),
( 1, 53)( 2, 54)( 3, 55)( 4, 56)( 5, 57)( 6, 58)( 7, 59)( 8, 60)
( 9, 61)( 10, 62)( 11, 63)( 12, 64)( 13, 65)( 14, 66)( 15, 67)
( 16, 68)( 17, 69)( 18, 70)( 19, 71)( 20, 72)( 21, 73)( 22, 74)
( 23, 75)( 24, 76)( 25, 77)( 26, 78)( 27, 79)( 28, 80)( 29, 81)
( 30, 82)( 31, 83)( 32, 84)( 33, 85)( 34, 86)( 35, 87)( 36, 88)
( 37, 89)( 38, 90)( 39, 91)( 40, 92)( 41, 93)( 42, 94)( 43, 95)
( 44, 96)( 45, 97)( 46, 98)( 47, 99)( 48,100)( 49,101)( 50,102)
( 51,103)( 52,104) ],
[ ( 1, 5, 18)( 2, 10, 24)( 3, 15, 6)( 4, 20, 12)( 7, 8, 23)
( 9, 13, 14)( 11, 19, 16)( 17, 21, 22)( 25, 29, 42)( 26, 34, 48)
( 27, 39, 30)( 28, 44, 36)( 31, 32, 47)( 33, 37, 38)( 35, 43, 40)
( 41, 45, 46)( 49, 51, 50, 52)( 53, 57, 70)( 54, 62, 76)( 55, 67, 58)
( 56, 72, 64)( 59, 60, 75)( 61, 65, 66)( 63, 71, 68)( 69, 73, 74)
( 77, 81, 94)( 78, 86,100)( 79, 91, 82)( 80, 96, 88)( 83, 84, 99)
( 85, 89, 90)( 87, 95, 92)( 93, 97, 98)(101,104,102,103),
( 1, 44, 23, 31, 24, 46, 3, 34, 11, 43, 12, 38)( 2, 29, 9, 37, 6,
32, 4, 39, 17, 45, 18, 40)( 5, 47, 13, 48, 8, 27, 15, 35, 21, 36,
16, 25)( 7, 42, 22, 26, 10, 33, 19, 30, 14, 28, 20, 41)
( 53, 86, 75, 95, 76, 90, 55, 96, 63, 83, 64, 98)( 54, 91, 61, 97, 58,
92, 56, 81, 69, 89, 70, 84)( 57, 87, 65, 88, 60, 77, 67, 99, 73,100,
68, 79)( 59, 82, 74, 80, 62, 93, 71, 94, 66, 78, 72, 85),
( 1, 53, 3, 55)( 2, 54, 4, 56)( 5, 57, 15, 67)( 6, 58, 18, 70)
( 7, 59, 19, 71)( 8, 60, 16, 68)( 9, 61, 17, 69)( 10, 62, 20, 72)
( 11, 63, 23, 75)( 12, 64, 24, 76)( 13, 65, 21, 73)( 14, 66, 22, 74)
( 25, 77, 27, 79)( 26, 78, 28, 80)( 29, 81, 39, 91)( 30, 82, 42, 94)
( 31, 83, 43, 95)( 32, 84, 40, 92)( 33, 85, 41, 93)( 34, 86, 44, 96)
( 35, 87, 47, 99)( 36, 88, 48,100)( 37, 89, 45, 97)( 38, 90, 46, 98)
( 49,101)( 50,102)( 51,103)( 52,104) ],
[ ( 1, 2,35,16,22,18,11,37)( 3, 4, 8, 6,23,24,34,33)( 5,32,36,31,20,10,27,
9)( 7,25,15,29,19,12,38,26)(13,40,21,39,14,28,30,17)(45,46,79,60,66,
62,55,81)(47,48,52,50,67,68,78,77)(49,76,80,75,64,54,71,53)
(51,69,59,73,63,56,82,70)(57,84,65,83,58,72,74,61),
( 1,28,14,37,26,22,40,13,16,29)( 2,10,35,34, 4,18,32,11, 8,24)
( 3,25,33,27,20,23,12, 6,36, 5)( 7,38,39,31,30,19,15,17, 9,21)
(41,43,42,44)(45,72,58,81,70,66,84,57,60,73)(46,54,79,78,48,62,76,55,
52,68)(47,69,77,71,64,67,56,50,80,49)(51,82,83,75,74,63,59,61,53,65)
(85,88,86,87), ( 1,45)( 2,46)( 3,47)( 4,48)( 5,49)( 6,50)( 7,51)( 8,52)
( 9,53)(10,54)(11,55)(12,56)(13,57)(14,58)(15,59)(16,60)(17,61)(18,62)
(19,63)(20,64)(21,65)(22,66)(23,67)(24,68)(25,69)(26,70)(27,71)(28,72)
(29,73)(30,74)(31,75)(32,76)(33,77)(34,78)(35,79)(36,80)(37,81)(38,82)
(39,83)(40,84)(41,85)(42,86)(43,87)(44,88) ],
[ ( 1, 2,35,16,22,18,11,37)( 3, 4, 8, 6,23,24,34,33)( 5,32,36,31,20,10,27,
9)( 7,25,15,29,19,12,38,26)(13,40,21,39,14,28,30,17)(45,46,79,60,66,
62,55,81)(47,48,52,50,67,68,78,77)(49,76,80,75,64,54,71,53)
(51,69,59,73,63,56,82,70)(57,84,65,83,58,72,74,61),
( 1,28,14,37,26,22,40,13,16,29)( 2,10,35,34, 4,18,32,11, 8,24)
( 3,25,33,27,20,23,12, 6,36, 5)( 7,38,39,31,30,19,15,17, 9,21)
(41,43,42,44)(45,84,58,60,70)(46,76,79,52,48)(47,56,77,80,64)
(49,67,69,50,71)(51,59,83,53,74)(54,55,78,68,62)(57,81,73,66,72)
(61,75,65,63,82)(85,88,86,87), ( 1,45)( 2,46)( 3,47)( 4,48)( 5,49)
( 6,50)( 7,51)( 8,52)( 9,53)(10,54)(11,55)(12,56)(13,57)(14,58)(15,59)
(16,60)(17,61)(18,62)(19,63)(20,64)(21,65)(22,66)(23,67)(24,68)(25,69)
(26,70)(27,71)(28,72)(29,73)(30,74)(31,75)(32,76)(33,77)(34,78)(35,79)
(36,80)(37,81)(38,82)(39,83)(40,84)(41,85)(42,86)(43,87)(44,88) ],
[ ( 1, 2,35,16,22,18,11,37)( 3, 4, 8, 6,23,24,34,33)( 5,32,36,31,20,10,27,
9)( 7,25,15,29,19,12,38,26)(13,40,21,39,14,28,30,17)(45,46,79,60,66,
62,55,81)(47,48,52,50,67,68,78,77)(49,76,80,75,64,54,71,53)
(51,69,59,73,63,56,82,70)(57,84,65,83,58,72,74,61),
( 1,28,14,37,26,22,40,13,16,29)( 2,10,35,34, 4,18,32,11, 8,24)
( 3,25,33,27,20,23,12, 6,36, 5)( 7,38,39,31,30,19,15,17, 9,21)
(41,43,42,44)(45,72,58,81,70,66,84,57,60,73)(46,54,79,78,48,62,76,55,
52,68)(47,69,77,71,64,67,56,50,80,49)(51,82,83,75,74,63,59,61,53,65)
(85,88,86,87), ( 1,45,22,66)( 2,46,18,62)( 3,47,23,67)( 4,48,24,68)
( 5,49,20,64)( 6,50,33,77)( 7,51,19,63)( 8,52,34,78)( 9,53,31,75)
(10,54,32,76)(11,55,35,79)(12,56,25,69)(13,57,14,58)(15,59,38,82)
(16,60,37,81)(17,61,39,83)(21,65,30,74)(26,70,29,73)(27,71,36,80)
(28,72,40,84)(41,85)(42,86)(43,87)(44,88) ],
[ ( 1, 5, 18)( 2, 10, 24)( 3, 15, 6)( 4, 20, 12)( 7, 8, 23)
( 9, 13, 14)( 11, 19, 16)( 17, 21, 22)( 25, 29, 42)( 26, 34, 48)
( 27, 39, 30)( 28, 44, 36)( 31, 32, 47)( 33, 37, 38)( 35, 43, 40)
( 41, 45, 46)( 49, 51, 50, 52)( 53, 67, 70, 55, 57, 58)
( 54, 72, 76, 56, 62, 64)( 59, 68, 75, 71, 60, 63)( 61, 73, 66, 69, 65,
74)( 77, 91, 94, 79, 81, 82)( 78, 96,100, 80, 86, 88)( 83, 92, 99, 95,
84, 87)( 85, 97, 90, 93, 89, 98)(101,104,102,103),
( 1, 44, 23, 31, 24, 46, 3, 34, 11, 43, 12, 38)( 2, 29, 9, 37, 6,
32, 4, 39, 17, 45, 18, 40)( 5, 47, 13, 48, 8, 27, 15, 35, 21, 36,
16, 25)( 7, 42, 22, 26, 10, 33, 19, 30, 14, 28, 20, 41)
( 53, 96, 75, 83, 76, 98, 55, 86, 63, 95, 64, 90)( 54, 81, 61, 89, 58,
84, 56, 91, 69, 97, 70, 92)( 57, 99, 65,100, 60, 79, 67, 87, 73, 88,
68, 77)( 59, 94, 74, 78, 62, 85, 71, 82, 66, 80, 72, 93),
( 1, 53)( 2, 54)( 3, 55)( 4, 56)( 5, 57)( 6, 58)( 7, 59)( 8, 60)
( 9, 61)( 10, 62)( 11, 63)( 12, 64)( 13, 65)( 14, 66)( 15, 67)
( 16, 68)( 17, 69)( 18, 70)( 19, 71)( 20, 72)( 21, 73)( 22, 74)
( 23, 75)( 24, 76)( 25, 77)( 26, 78)( 27, 79)( 28, 80)( 29, 81)
( 30, 82)( 31, 83)( 32, 84)( 33, 85)( 34, 86)( 35, 87)( 36, 88)
( 37, 89)( 38, 90)( 39, 91)( 40, 92)( 41, 93)( 42, 94)( 43, 95)
( 44, 96)( 45, 97)( 46, 98)( 47, 99)( 48,100)( 49,101)( 50,102)
( 51,103)( 52,104) ],
[ ( 1, 5, 18)( 2, 10, 24)( 3, 15, 6)( 4, 20, 12)( 7, 8, 23)
( 9, 13, 14)( 11, 19, 16)( 17, 21, 22)( 25, 29, 42)( 26, 34, 48)
( 27, 39, 30)( 28, 44, 36)( 31, 32, 47)( 33, 37, 38)( 35, 43, 40)
( 41, 45, 46)( 49, 51, 50, 52)( 53, 57, 70)( 54, 62, 76)( 55, 67, 58)
( 56, 72, 64)( 59, 60, 75)( 61, 65, 66)( 63, 71, 68)( 69, 73, 74)
( 77, 81, 94)( 78, 86,100)( 79, 91, 82)( 80, 96, 88)( 83, 84, 99)
( 85, 89, 90)( 87, 95, 92)( 93, 97, 98)(101,104,102,103),
( 1, 44, 23, 31, 24, 46, 3, 34, 11, 43, 12, 38)( 2, 29, 9, 37, 6,
32, 4, 39, 17, 45, 18, 40)( 5, 47, 13, 48, 8, 27, 15, 35, 21, 36,
16, 25)( 7, 42, 22, 26, 10, 33, 19, 30, 14, 28, 20, 41)
( 53, 96, 75, 83, 76, 98, 55, 86, 63, 95, 64, 90)( 54, 81, 61, 89, 58,
84, 56, 91, 69, 97, 70, 92)( 57, 99, 65,100, 60, 79, 67, 87, 73, 88,
68, 77)( 59, 94, 74, 78, 62, 85, 71, 82, 66, 80, 72, 93),
( 1, 53)( 2, 54)( 3, 55)( 4, 56)( 5, 57)( 6, 58)( 7, 59)( 8, 60)
( 9, 61)( 10, 62)( 11, 63)( 12, 64)( 13, 65)( 14, 66)( 15, 67)
( 16, 68)( 17, 69)( 18, 70)( 19, 71)( 20, 72)( 21, 73)( 22, 74)
( 23, 75)( 24, 76)( 25, 77)( 26, 78)( 27, 79)( 28, 80)( 29, 81)
( 30, 82)( 31, 83)( 32, 84)( 33, 85)( 34, 86)( 35, 87)( 36, 88)
( 37, 89)( 38, 90)( 39, 91)( 40, 92)( 41, 93)( 42, 94)( 43, 95)
( 44, 96)( 45, 97)( 46, 98)( 47, 99)( 48,100)( 49,101)( 50,102)
( 51,103)( 52,104) ],
[ ( 1, 5, 18)( 2, 10, 24)( 3, 15, 6)( 4, 20, 12)( 7, 8, 23)
( 9, 13, 14)( 11, 19, 16)( 17, 21, 22)( 25, 29, 42)( 26, 34, 48)
( 27, 39, 30)( 28, 44, 36)( 31, 32, 47)( 33, 37, 38)( 35, 43, 40)
( 41, 45, 46)( 49, 51, 50, 52)( 53, 57, 70)( 54, 62, 76)( 55, 67, 58)
( 56, 72, 64)( 59, 60, 75)( 61, 65, 66)( 63, 71, 68)( 69, 73, 74)
( 77, 81, 94)( 78, 86,100)( 79, 91, 82)( 80, 96, 88)( 83, 84, 99)
( 85, 89, 90)( 87, 95, 92)( 93, 97, 98)(101,104,102,103),
( 1, 44, 23, 31, 24, 46, 3, 34, 11, 43, 12, 38)( 2, 29, 9, 37, 6,
32, 4, 39, 17, 45, 18, 40)( 5, 47, 13, 48, 8, 27, 15, 35, 21, 36,
16, 25)( 7, 42, 22, 26, 10, 33, 19, 30, 14, 28, 20, 41)
( 53, 96, 75, 83, 76, 98, 55, 86, 63, 95, 64, 90)( 54, 81, 61, 89, 58,
84, 56, 91, 69, 97, 70, 92)( 57, 99, 65,100, 60, 79, 67, 87, 73, 88,
68, 77)( 59, 94, 74, 78, 62, 85, 71, 82, 66, 80, 72, 93),
( 1, 53, 3, 55)( 2, 54, 4, 56)( 5, 57, 15, 67)( 6, 58, 18, 70)
( 7, 59, 19, 71)( 8, 60, 16, 68)( 9, 61, 17, 69)( 10, 62, 20, 72)
( 11, 63, 23, 75)( 12, 64, 24, 76)( 13, 65, 21, 73)( 14, 66, 22, 74)
( 25, 77, 27, 79)( 26, 78, 28, 80)( 29, 81, 39, 91)( 30, 82, 42, 94)
( 31, 83, 43, 95)( 32, 84, 40, 92)( 33, 85, 41, 93)( 34, 86, 44, 96)
( 35, 87, 47, 99)( 36, 88, 48,100)( 37, 89, 45, 97)( 38, 90, 46, 98)
( 49,101)( 50,102)( 51,103)( 52,104) ],
[ ( 1,20,28,26,14,37, 8,41,18,44,39,11, 2,19,27,25,13,38, 7,42,17,43,40,12)
( 3,29, 9,23,45,36,22,47,31, 5,33,15, 4,30,10,24,46,35,21,48,32, 6,34,
16)(49,67,79,92,88,83,55,89,57,74,61,63,50,68,80,91,87,84,56,90,58,73,
62,64)(51,77,66,53,81,86,69,96,76,71,93,59,52,78,65,54,82,85,70,95,75,
72,94,60), ( 1,47,28,41,22,35)( 2,48,27,42,21,36)( 3,15, 7,29,17,20)
( 4,16, 8,30,18,19)( 5,31,26,34,37,40)( 6,32,25,33,38,39)
( 9,43,46,12,13,23)(10,44,45,11,14,24)(49,83,70,89,76,95)
(50,84,69,90,75,96)(51,68,65,77,55,63)(52,67,66,78,56,64)
(53,88,85,82,74,79)(54,87,86,81,73,80)(57,71,61,60,94,91)
(58,72,62,59,93,92), ( 1,49)( 2,50)( 3,51)( 4,52)( 5,53)( 6,54)( 7,55)
( 8,56)( 9,57)(10,58)(11,59)(12,60)(13,61)(14,62)(15,63)(16,64)(17,65)
(18,66)(19,67)(20,68)(21,69)(22,70)(23,71)(24,72)(25,73)(26,74)(27,75)
(28,76)(29,77)(30,78)(31,79)(32,80)(33,81)(34,82)(35,83)(36,84)(37,85)
(38,86)(39,87)(40,88)(41,89)(42,90)(43,91)(44,92)(45,93)(46,94)(47,95)
(48,96) ],
[ ( 1,20,28,26,14,37, 8,41,18,44,39,11, 2,19,27,25,13,38, 7,42,17,43,40,12)
( 3,29, 9,23,45,36,22,47,31, 5,33,15, 4,30,10,24,46,35,21,48,32, 6,34,
16)(49,68,79,91,88,84,55,90,57,73,61,64,50,67,80,92,87,83,56,89,58,74,
62,63)(51,78,66,54,81,85,69,95,76,72,93,60,52,77,65,53,82,86,70,96,75,
71,94,59), ( 1,47,28,41,22,35)( 2,48,27,42,21,36)( 3,15, 7,29,17,20)
( 4,16, 8,30,18,19)( 5,31,26,34,37,40)( 6,32,25,33,38,39)
( 9,43,46,12,13,23)(10,44,45,11,14,24)(49,84,70,90,76,96)
(50,83,69,89,75,95)(51,67,65,78,55,64)(52,68,66,77,56,63)
(53,87,85,81,74,80)(54,88,86,82,73,79)(57,72,61,59,94,92)
(58,71,62,60,93,91), ( 1,49)( 2,50)( 3,51)( 4,52)( 5,53)( 6,54)( 7,55)
( 8,56)( 9,57)(10,58)(11,59)(12,60)(13,61)(14,62)(15,63)(16,64)(17,65)
(18,66)(19,67)(20,68)(21,69)(22,70)(23,71)(24,72)(25,73)(26,74)(27,75)
(28,76)(29,77)(30,78)(31,79)(32,80)(33,81)(34,82)(35,83)(36,84)(37,85)
(38,86)(39,87)(40,88)(41,89)(42,90)(43,91)(44,92)(45,93)(46,94)(47,95)
(48,96) ],
[ ( 1,20,28,26,14,37, 8,41,18,44,39,11, 2,19,27,25,13,38, 7,42,17,43,40,12)
( 3,29, 9,23,45,36,22,47,31, 5,33,15, 4,30,10,24,46,35,21,48,32, 6,34,
16)(49,67,79,92,88,83,55,89,57,74,61,63,50,68,80,91,87,84,56,90,58,73,
62,64)(51,77,66,53,81,86,69,96,76,71,93,59,52,78,65,54,82,85,70,95,75,
72,94,60), ( 1,47,28,41,22,35)( 2,48,27,42,21,36)( 3,15, 7,29,17,20)
( 4,16, 8,30,18,19)( 5,31,26,34,37,40)( 6,32,25,33,38,39)
( 9,43,46,12,13,23)(10,44,45,11,14,24)(49,83,70,89,76,95)
(50,84,69,90,75,96)(51,68,65,77,55,63)(52,67,66,78,56,64)
(53,88,85,82,74,79)(54,87,86,81,73,80)(57,71,61,60,94,91)
(58,72,62,59,93,92), ( 1,49, 2,50)( 3,51, 4,52)( 5,53, 6,54)
( 7,55, 8,56)( 9,57,10,58)(11,59,12,60)(13,61,14,62)(15,63,16,64)
(17,65,18,66)(19,67,20,68)(21,69,22,70)(23,71,24,72)(25,73,26,74)
(27,75,28,76)(29,77,30,78)(31,79,32,80)(33,81,34,82)(35,83,36,84)
(37,85,38,86)(39,87,40,88)(41,89,42,90)(43,91,44,92)(45,93,46,94)
(47,95,48,96) ],
[ ( 1,20,28,26,14,37, 8,41,18,44,39,11, 2,19,27,25,13,38, 7,42,17,43,40,12)
( 3,29, 9,23,45,36,22,47,31, 5,33,15, 4,30,10,24,46,35,21,48,32, 6,34,
16)(49,68,79,91,88,84,55,90,57,73,61,64,50,67,80,92,87,83,56,89,58,74,
62,63)(51,78,66,54,81,85,69,95,76,72,93,60,52,77,65,53,82,86,70,96,75,
71,94,59), ( 1,47,28,41,22,35)( 2,48,27,42,21,36)( 3,15, 7,29,17,20)
( 4,16, 8,30,18,19)( 5,31,26,34,37,40)( 6,32,25,33,38,39)
( 9,43,46,12,13,23)(10,44,45,11,14,24)(49,84,70,90,76,96)
(50,83,69,89,75,95)(51,67,65,78,55,64)(52,68,66,77,56,63)
(53,87,85,81,74,80)(54,88,86,82,73,79)(57,72,61,59,94,92)
(58,71,62,60,93,91), ( 1,49, 2,50)( 3,51, 4,52)( 5,53, 6,54)
( 7,55, 8,56)( 9,57,10,58)(11,59,12,60)(13,61,14,62)(15,63,16,64)
(17,65,18,66)(19,67,20,68)(21,69,22,70)(23,71,24,72)(25,73,26,74)
(27,75,28,76)(29,77,30,78)(31,79,32,80)(33,81,34,82)(35,83,36,84)
(37,85,38,86)(39,87,40,88)(41,89,42,90)(43,91,44,92)(45,93,46,94)
(47,95,48,96) ],
[ ( 1,12,26,43,25,20, 6,15,42,45,41,36)( 2,11,38,28,37,10, 9,23,34,29,31,22
)( 3,48,39,47,16, 5,13,33,40,30,27, 7)( 4,17,19,44,18,21,14, 8,35,46,
32,24)(49,82,72,88,56,79,54,86,69,87,65,85)(50,81,84,92,63,78,57,96,
68,94,60,95)(51,89,62,74,75,76,61,73,52,90,64,77)(53,83,58,93,59,80,
55,67,70,91,71,66), ( 1,69, 6,72)( 2,68, 9,84)( 3,82,13,86)
( 4,75,14,64)( 5,70, 7,58)( 8,81,17,96)(10,95,22,78)(11,90,23,74)
(12,83,15,67)(16,80,27,66)(18,50,32,57)(19,91,35,93)(20,85,36,79)
(21,73,24,89)(25,55,41,53)(26,76,42,77)(28,65,29,56)(30,49,47,54)
(31,52,37,62)(33,92,48,94)(34,88,38,87)(39,60,40,63)(43,61,45,51)
(44,71,46,59), ( 1,93,28,86,48,63)( 2,77,39,96,35,71)( 3,73,20,70,18,54
)( 4,94,43,74,38,56)( 5,87,44,67,26,51)( 6,91,29,82,33,60)
( 7,88,46,83,42,61)( 8,85,10,75,25,57)( 9,76,40,81,19,59)
(11,66,21,84,30,62)(12,78,27,72,31,55)(13,89,36,58,32,49)
(14,92,45,90,34,65)(15,95,16,69,37,53)(17,79,22,64,41,50)
(23,80,24,68,47,52) ],
[ ( 1,14, 5, 2, 6, 4, 7, 9)( 3,24,32,44,13,21,18,46)( 8,36,41,43,17,20,25,
45)(10,37,29,15,22,31,28,12)(11,16,47,40,23,27,30,39)(19,26,38,48,35,
42,34,33)(49,79,56,64,54,85,65,75)(50,78,63,72,57,95,60,69)
(51,58,62,73,61,70,52,89)(53,80,59,68,55,66,71,84)(67,96,82,74,83,81,
86,90)(76,87,94,93,77,88,92,91),
( 1,16, 7,36, 6,27, 5,20)( 2,24,14,22, 9,21, 4,10)( 3,42,15,33,13,26,12,
48)( 8,34,23,19,17,38,11,35)(18,25,37,47,32,41,31,30)(28,40,46,43,29,
39,44,45)(49,67,53,82,54,83,55,86)(50,74,52,81,57,90,62,96)
(51,59,60,65,61,71,63,56)(58,93,69,87,70,91,72,88)(64,77,68,94,75,76,
84,92)(66,95,79,73,80,78,85,89), ( 1,79,26,86,25,87, 6,85,42,82,41,88)
( 2,78,38,96,37,94, 9,95,34,81,31,92)( 3,55,39,70,16,71,13,53,40,58,27,
59)( 4,89,19,74,18,76,14,73,35,90,32,77)( 5,80,33,67,30,91, 7,66,48,
83,47,93)( 8,62,46,75,24,61,17,52,44,64,21,51)(10,63,23,57,29,68,22,
60,11,50,28,84)(12,49,43,72,20,56,15,54,45,69,36,65) ],
[ ( 1,19,29,16,30,12)( 2,26,40,24,18,11)( 3, 7,38,44,36,25)( 4,33,45,10,31,
17)( 5,34,46,20,41,13)( 6,35,28,27,47,15)( 8,14,48,43,22,37)
( 9,42,39,21,32,23)(49,79,70,67,94,61)(50,78,75,74,93,65)
(51,54,85,58,83,92)(52,89,84,81,87,71)(53,80,72,82,76,63)
(55,66,69,86,77,60)(56,57,95,64,90,91)(59,62,73,68,96,88),
( 1,38, 5,19, 6,34, 7,35)( 2,48, 4,26, 9,33,14,42)( 3,47,12,25,13,30,15,
41)( 8,32,11,37,17,18,23,31)(10,36,21,16,22,20,24,27)(28,43,44,40,29,
45,46,39)(49,57,55,52,54,50,53,62)(51,56,63,71,61,65,60,59)
(58,85,72,80,70,79,69,66)(64,95,84,89,75,78,68,73)(67,94,86,77,83,92,
82,76)(74,93,96,88,90,91,81,87),
( 1,90, 7,81, 6,74, 5,96)( 2,82,14,67, 9,86, 4,83)( 3,64,12,68,13,75,15,
84)( 8,72,11,58,17,69,23,70)(10,92,30,59,22,94,47,71)(16,91,18,51,27,
93,32,61)(19,79,43,52,35,85,45,62)(20,88,31,60,36,87,37,63)
(21,77,41,65,24,76,25,56)(26,78,28,49,42,95,29,54)(33,89,44,53,48,73,
46,55)(34,80,40,57,38,66,39,50) ],
[ ( 1,32,23,35,46, 4,47,15,48,39, 5,37, 8,38,28, 9,25, 3,26,43, 6,18,11,19,
44,14,30,12,33,40, 7,31,17,34,29, 2,41,13,42,45)(10,36,21,16,22,20,24,
27)(49,50,55,62,54,57,53,52)(51,96,80,70,91,65,67,73,64,77,63,90,79,
69,87,59,86,95,84,92,61,81,66,58,93,56,83,89,75,76,60,74,85,72,88,71,
82,78,68,94), ( 1,68,42,82,23,87, 6,84,26,86,11,88)( 2,58,34,81,13,94,
9,70,38,96, 3,92)( 4,69,35,90,15,76,14,72,19,74,12,77)( 5,75,48,83, 8,
91, 7,64,33,67,17,93)(10,66,29,50,30,63,22,80,28,57,47,60)
(16,73,40,55,18,71,27,89,39,53,32,59)(20,78,45,49,31,56,36,95,43,54,37,
65)(21,79,46,52,41,51,24,85,44,62,25,61),
( 1,70, 6,58)( 2,75, 9,64)( 3,82,13,86)( 4,84,14,68)( 5,72, 7,69)
( 8,81,17,96)(10,76,22,77)(11,90,23,74)(12,83,15,67)(16,87,27,88)
(18,60,32,63)(19,50,35,57)(20,91,36,93)(21,92,24,94)(25,59,41,71)
(26,55,42,53)(28,73,29,89)(30,65,47,56)(31,61,37,51)(33,49,48,54)
(34,52,38,62)(39,85,40,79)(43,66,45,80)(44,78,46,95) ],
[ ( 1,34,28,36,30,13, 6,38,29,20,47, 3)( 2,33,39,22,18,17, 9,48,40,10,32, 8
)( 4,42,43,24,31,23,14,26,45,21,37,11)( 5,35,44,16,41,15, 7,19,46,27,
25,12)(49,66,58,82,94,60,54,80,70,86,92,63)(50,73,64,81,93,59,57,89,
75,96,91,71)(51,53,79,69,83,76,61,55,85,72,67,77)(52,78,68,90,87,65,
62,95,84,74,88,56), ( 1,55)( 2,62)( 3,87)( 4,50)( 5,49)( 6,53)( 7,54)
( 8,94)( 9,52)(10,81)(11,76)(12,91)(13,88)(14,57)(15,93)(16,67)(17,92)
(18,79)(19,75)(20,82)(21,90)(22,96)(23,77)(24,74)(25,78)(26,69)(27,83)
(28,71)(29,59)(30,89)(31,80)(32,85)(33,70)(34,84)(35,64)(36,86)(37,66)
(38,68)(39,61)(40,51)(41,95)(42,72)(43,63)(44,56)(45,60)(46,65)(47,73)
(48,58), ( 1,77,11,78,44,49)( 2,88, 3,66,43,50)( 4,93,12,79,40,52)
( 5,94,17,89,29,53)( 6,76,23,95,46,54)( 7,92, 8,73,28,55)
( 9,87,13,80,45,57)(10,96,26,70,47,56)(14,91,15,85,39,62)
(16,83,38,75,32,63)(18,60,27,67,34,64)(19,84,37,51,20,86)
(21,74,33,72,25,59)(22,81,42,58,30,65)(24,90,48,69,41,71)
(31,61,36,82,35,68) ],
[ ( 1, 2, 7,14, 6, 9, 5, 4)( 3,17,15,11,13, 8,12,23)(10,31,24,18,22,37,21,
32)(16,30,36,25,27,47,20,41)(19,44,38,28,35,46,34,29)(26,43,48,39,42,
45,33,40)(49,80,53,85,54,66,55,79)(50,89,52,95,57,73,62,78)
(51,77,60,94,61,76,63,92)(56,88,59,93,65,87,71,91)(58,68,69,75,70,84,
72,64)(67,96,82,74,83,81,86,90),
( 1,25,23,44,24,42, 5,30, 8,29,10,48, 6,41,11,46,21,26, 7,47,17,28,22,33)
( 2,37,13,43,36,34, 4,18,15,40,16,35, 9,31, 3,45,20,38,14,32,12,39,27,
19)(49,76,90,78,69,56,55,94,81,73,58,71,54,77,74,95,72,65,53,92,96,89,
70,59)(50,87,82,66,68,63,62,93,67,85,64,61,57,88,86,80,84,60,52,91,83,
79,75,51), ( 1,49, 8,56,26,74,22,70,28,76)( 2,50,15,63,38,86,27,75,39,
87)( 3,51,19,67,36,84,43,91, 4,52)( 5,53,11,59,33,81,24,72,44,92)
( 6,54,17,65,42,90,10,58,29,77)( 7,55,23,71,48,96,21,69,46,94)
( 9,57,12,60,34,82,16,64,40,88)(13,61,35,83,20,68,45,93,14,62)(18,66)
(25,73)(30,78)(31,79)(32,80)(37,85)(41,89)(47,95) ],
[ ( 1, 3)( 2, 4)( 5,12, 6,11)( 7,10, 8, 9)(13,21,14,22)(15,17,16,18)
(19,24,20,23)(25,28,26,27)(29,31)(30,32)(33,40,34,39)(35,38,36,37)
(41,49,42,50)(43,45,44,46)(47,52,48,51)(53,56,54,55),
( 1, 4, 2, 3)( 5,22,15,20,14,17, 6,21,16,19,13,18)( 7,27,12,26, 9,23, 8,
28,11,25,10,24)(29,32,30,31)(33,50,43,48,42,45,34,49,44,47,41,46)
(35,55,40,54,37,51,36,56,39,53,38,52),
( 1,29)( 2,30)( 3,31)( 4,32)( 5,33)( 6,34)( 7,35)( 8,36)( 9,37)(10,38)
(11,39)(12,40)(13,41)(14,42)(15,43)(16,44)(17,45)(18,46)(19,47)(20,48)
(21,49)(22,50)(23,51)(24,52)(25,53)(26,54)(27,55)(28,56) ],
[ ( 1, 2)( 7,11,25, 8,12,26)( 9,13,24,10,14,23)(15,27,18,16,28,17)
(19,29,22,20,30,21)(31,32)(37,41,55,38,42,56)(39,43,54,40,44,53)
(45,57,48,46,58,47)(49,59,52,50,60,51),
( 1, 2)( 3, 4, 5, 6)( 7,21,11,27,16)( 8,22,12,28,15)( 9,18,13,29,20)
(10,17,14,30,19)(31,32)(33,36,35,34)(37,51,41,57,46)(38,52,42,58,45)
(39,48,43,59,50)(40,47,44,60,49), ( 1,31)( 2,32)( 3,33)( 4,34)( 5,35)
( 6,36)( 7,37)( 8,38)( 9,39)(10,40)(11,41)(12,42)(13,43)(14,44)(15,45)
(16,46)(17,47)(18,48)(19,49)(20,50)(21,51)(22,52)(23,53)(24,54)(25,55)
(26,56)(27,57)(28,58)(29,59)(30,60) ],
[ ( 1, 2)( 5,27,13,11,20,23, 6,28,14,12,19,24)( 7,21,15,17,10,25, 8,22,16,
18, 9,26)(29,30)(33,55,41,39,48,51,34,56,42,40,47,52)(35,49,43,45,38,
53,36,50,44,46,37,54), ( 1, 3)( 2, 4)( 5,26)( 6,25)( 7,21)( 8,22)
( 9,18)(10,17)(11,15)(12,16)(13,14)(23,24)(29,31)(30,32)(33,54)(34,53)
(35,49)(36,50)(37,46)(38,45)(39,43)(40,44)(41,42)(51,52),
( 1,29)( 2,30)( 3,31)( 4,32)( 5,33)( 6,34)( 7,35)( 8,36)( 9,37)(10,38)
(11,39)(12,40)(13,41)(14,42)(15,43)(16,44)(17,45)(18,46)(19,47)(20,48)
(21,49)(22,50)(23,51)(24,52)(25,53)(26,54)(27,55)(28,56) ],
[ ( 1, 9,16, 8,20,11, 4,15,10, 3,14, 5)( 2,17,23,12,13,24, 7,22,21, 6,19,18
)(25,26)(27,28)(29,37,44,36,48,39,32,43,38,31,42,33)(30,45,51,40,41,
52,35,50,49,34,47,46)(53,54)(55,56),
( 1,15,23,19,11, 4, 9,21,13, 5)( 2, 7)( 3,20,18,22,16, 8,14,24,17,10)
( 6,12)(25,27,26,28)(29,43,51,47,39,32,37,49,41,33)(30,35)
(31,48,46,50,44,36,42,52,45,38)(34,40)(53,56,54,55),
( 1,29)( 2,30)( 3,31)( 4,32)( 5,33)( 6,34)( 7,35)( 8,36)( 9,37)(10,38)
(11,39)(12,40)(13,41)(14,42)(15,43)(16,44)(17,45)(18,46)(19,47)(20,48)
(21,49)(22,50)(23,51)(24,52)(25,53)(26,54)(27,55)(28,56) ],
[ ( 1, 3, 2, 4)( 5, 17, 6, 18)( 7, 19, 8, 20)( 9, 30, 47, 24, 49,
25, 13, 37, 44, 34, 10, 29, 48, 23, 50, 26, 14, 38, 43, 33)
( 11, 32, 45, 21, 52, 27, 15, 40, 41, 35, 12, 31, 46, 22, 51, 28, 16,
39, 42, 36)( 53, 56, 54, 55)( 57, 69, 58, 70)( 59, 71, 60, 72)
( 61, 82, 99, 76,101, 77, 65, 89, 96, 86, 62, 81,100, 75,102, 78, 66,
90, 95, 85)( 63, 84, 97, 73,104, 79, 67, 92, 93, 87, 64, 83, 98, 74,
103, 80, 68, 91, 94, 88), ( 1, 4, 2, 3)( 5, 13, 36, 20, 32, 49)
( 6, 14, 35, 19, 31, 50)( 7, 16, 34, 18, 29, 51)( 8, 15, 33, 17, 30,
52)( 9, 45, 23, 28, 38, 42)( 10, 46, 24, 27, 37, 41)( 11, 48, 21, 26,
40, 44)( 12, 47, 22, 25, 39, 43)( 53, 55, 54, 56)( 57, 65, 88, 72, 84,
101)( 58, 66, 87, 71, 83,102)( 59, 68, 86, 70, 81,103)
( 60, 67, 85, 69, 82,104)( 61, 97, 75, 80, 90, 94)( 62, 98, 76, 79, 89,
93)( 63,100, 73, 78, 92, 96)( 64, 99, 74, 77, 91, 95),
( 1, 53)( 2, 54)( 3, 55)( 4, 56)( 5, 57)( 6, 58)( 7, 59)( 8, 60)
( 9, 61)( 10, 62)( 11, 63)( 12, 64)( 13, 65)( 14, 66)( 15, 67)
( 16, 68)( 17, 69)( 18, 70)( 19, 71)( 20, 72)( 21, 73)( 22, 74)
( 23, 75)( 24, 76)( 25, 77)( 26, 78)( 27, 79)( 28, 80)( 29, 81)
( 30, 82)( 31, 83)( 32, 84)( 33, 85)( 34, 86)( 35, 87)( 36, 88)
( 37, 89)( 38, 90)( 39, 91)( 40, 92)( 41, 93)( 42, 94)( 43, 95)
( 44, 96)( 45, 97)( 46, 98)( 47, 99)( 48,100)( 49,101)( 50,102)
( 51,103)( 52,104) ],
[ ( 1, 3, 2, 4)( 5, 17, 6, 18)( 7, 19, 8, 20)( 9, 30, 47, 24, 49,
25, 13, 37, 44, 34, 10, 29, 48, 23, 50, 26, 14, 38, 43, 33)
( 11, 32, 45, 21, 52, 27, 15, 40, 41, 35, 12, 31, 46, 22, 51, 28, 16,
39, 42, 36)( 53, 56, 54, 55)( 57, 69, 58, 70)( 59, 71, 60, 72)
( 61, 82, 99, 76,101, 77, 65, 89, 96, 86, 62, 81,100, 75,102, 78, 66,
90, 95, 85)( 63, 84, 97, 73,104, 79, 67, 92, 93, 87, 64, 83, 98, 74,
103, 80, 68, 91, 94, 88), ( 1, 4, 2, 3)( 5, 13, 36, 20, 32, 49)
( 6, 14, 35, 19, 31, 50)( 7, 16, 34, 18, 29, 51)( 8, 15, 33, 17, 30,
52)( 9, 45, 23, 28, 38, 42)( 10, 46, 24, 27, 37, 41)( 11, 48, 21, 26,
40, 44)( 12, 47, 22, 25, 39, 43)( 53, 55, 54, 56)( 57, 65, 88, 72, 84,
101)( 58, 66, 87, 71, 83,102)( 59, 68, 86, 70, 81,103)
( 60, 67, 85, 69, 82,104)( 61, 97, 75, 80, 90, 94)( 62, 98, 76, 79, 89,
93)( 63,100, 73, 78, 92, 96)( 64, 99, 74, 77, 91, 95),
( 1, 53)( 2, 54)( 3, 55)( 4, 56)( 5, 57, 6, 58)( 7, 59, 8, 60)
( 9, 61, 10, 62)( 11, 63, 12, 64)( 13, 65, 14, 66)( 15, 67, 16, 68)
( 17, 69, 18, 70)( 19, 71, 20, 72)( 21, 73, 22, 74)( 23, 75, 24, 76)
( 25, 77, 26, 78)( 27, 79, 28, 80)( 29, 81, 30, 82)( 31, 83, 32, 84)
( 33, 85, 34, 86)( 35, 87, 36, 88)( 37, 89, 38, 90)( 39, 91, 40, 92)
( 41, 93, 42, 94)( 43, 95, 44, 96)( 45, 97, 46, 98)( 47, 99, 48,100)
( 49,101, 50,102)( 51,103, 52,104) ],
[ ( 1, 3)( 2, 4)( 5,12, 6,11)( 7,10, 8, 9)(13,21,14,22)(15,17,16,18)
(19,24,20,23)(25,28,26,27)(29,31)(30,32)(33,40,34,39)(35,38,36,37)
(41,49,42,50)(43,45,44,46)(47,52,48,51)(53,56,54,55),
( 1, 4, 2, 3)( 5,22,15,20,14,17, 6,21,16,19,13,18)( 7,27,12,26, 9,23, 8,
28,11,25,10,24)(29,31,30,32)(33,49,43,47,42,46,34,50,44,48,41,45)
(35,56,40,53,37,52,36,55,39,54,38,51),
( 1,29)( 2,30)( 3,31)( 4,32)( 5,33, 6,34)( 7,35, 8,36)( 9,37,10,38)
(11,39,12,40)(13,41,14,42)(15,43,16,44)(17,45,18,46)(19,47,20,48)
(21,49,22,50)(23,51,24,52)(25,53,26,54)(27,55,28,56) ],
[ ( 1, 3)( 2, 4)( 5,12, 6,11)( 7,10, 8, 9)(13,21,14,22)(15,17,16,18)
(19,24,20,23)(25,28,26,27)(29,31)(30,32)(33,39,34,40)(35,37,36,38)
(41,50,42,49)(43,46,44,45)(47,51,48,52)(53,55,54,56),
( 1, 4, 2, 3)( 5,22,15,20,14,17, 6,21,16,19,13,18)( 7,27,12,26, 9,23, 8,
28,11,25,10,24)(29,32,30,31)(33,49,43,47,42,46,34,50,44,48,41,45)
(35,56,40,53,37,52,36,55,39,54,38,51),
( 1,29)( 2,30)( 3,31)( 4,32)( 5,33, 6,34)( 7,35, 8,36)( 9,37,10,38)
(11,39,12,40)(13,41,14,42)(15,43,16,44)(17,45,18,46)(19,47,20,48)
(21,49,22,50)(23,51,24,52)(25,53,26,54)(27,55,28,56) ],
[ ( 1, 3)( 2, 4)( 5,12, 6,11)( 7,10, 8, 9)(13,21,14,22)(15,17,16,18)
(19,24,20,23)(25,28,26,27)(29,31)(30,32)(33,39,34,40)(35,37,36,38)
(41,50,42,49)(43,46,44,45)(47,51,48,52)(53,55,54,56),
( 1, 4, 2, 3)( 5,22,15,20,14,17, 6,21,16,19,13,18)( 7,27,12,26, 9,23, 8,
28,11,25,10,24)(29,31,30,32)(33,50,43,48,42,45,34,49,44,47,41,46)
(35,55,40,54,37,51,36,56,39,53,38,52),
( 1,29)( 2,30)( 3,31)( 4,32)( 5,33, 6,34)( 7,35, 8,36)( 9,37,10,38)
(11,39,12,40)(13,41,14,42)(15,43,16,44)(17,45,18,46)(19,47,20,48)
(21,49,22,50)(23,51,24,52)(25,53,26,54)(27,55,28,56) ],
[ ( 1, 9,16, 8,20,11, 4,15,10, 3,14, 5)( 2,17,23,12,13,24, 7,22,21, 6,19,18
)(25,26)(27,28)(29,51,33,31,46,38,32,49,39,36,52,44)(30,41,42,34,45,
43,35,47,48,40,50,37)(53,54)(55,56),
( 1,15,23,19,11, 4, 9,21,13, 5)( 2, 7)( 3,20,18,22,16, 8,14,24,17,10)
( 6,12)(25,27,26,28)(29,30,47,48,52,32,35,41,42,46)(31,34,50,37,51,36,
40,45,43,49)(33,39)(38,44)(53,56,54,55),
( 1,29)( 2,30)( 3,31)( 4,32)( 5,33)( 6,34)( 7,35)( 8,36)( 9,37)(10,38)
(11,39)(12,40)(13,41)(14,42)(15,43)(16,44)(17,45)(18,46)(19,47)(20,48)
(21,49)(22,50)(23,51)(24,52)(25,53)(26,54)(27,55)(28,56) ],
[ ( 1, 9,16, 8,20,11, 4,15,10, 3,14, 5)( 2,17,23,12,13,24, 7,22,21, 6,19,18
)(25,26)(27,28)(29,51,33,31,46,38,32,49,39,36,52,44)(30,41,42,34,45,
43,35,47,48,40,50,37)(53,54)(55,56),
( 1,15,23,19,11, 4, 9,21,13, 5)( 2, 7)( 3,20,18,22,16, 8,14,24,17,10)
( 6,12)(25,27,26,28)(29,30,47,48,52,32,35,41,42,46)(31,34,50,37,51,36,
40,45,43,49)(33,39)(38,44)(53,56,54,55),
( 1,29, 4,32)( 2,30, 7,35)( 3,31, 8,36)( 5,33,11,39)( 6,34,12,40)
( 9,37,15,43)(10,38,16,44)(13,41,19,47)(14,42,20,48)(17,45,22,50)
(18,46,24,52)(21,49,23,51)(25,53)(26,54)(27,55)(28,56) ],
[ ( 1, 9,16, 8,20,11, 4,15,10, 3,14, 5)( 2,17,23,12,13,24, 7,22,21, 6,19,18
)(25,26)(27,28)(29,51,33,31,46,38,32,49,39,36,52,44)(30,41,42,34,45,
43,35,47,48,40,50,37)(53,54)(55,56),
( 1,15,23,19,11, 4, 9,21,13, 5)( 2, 7)( 3,20,18,22,16, 8,14,24,17,10)
( 6,12)(25,27,26,28)(29,35,47,42,52)(30,41,48,46,32)(31,40,50,43,51)
(34,45,37,49,36)(53,56,54,55), ( 1,29)( 2,30)( 3,31)( 4,32)( 5,33)
( 6,34)( 7,35)( 8,36)( 9,37)(10,38)(11,39)(12,40)(13,41)(14,42)(15,43)
(16,44)(17,45)(18,46)(19,47)(20,48)(21,49)(22,50)(23,51)(24,52)(25,53)
(26,54)(27,55)(28,56) ],
[ ( 1, 44, 20, 23, 12, 16, 18, 47, 9, 43, 5, 45, 21, 39, 25, 32, 34, 19,
10, 42, 6, 48, 38, 8, 30, 4, 35, 36, 24, 29, 17, 33, 7, 22, 28,
15, 46, 37, 2, 40)( 3, 13, 11, 26, 14, 31, 27, 41)( 49, 50)
( 51, 69, 53, 92, 84, 65, 71, 76, 75, 95, 67, 97, 77, 93, 68, 54, 70,
63, 62, 94, 56, 87, 64, 90, 96, 82, 57, 91, 78, 83, 55, 86, 61, 79,
85, 66, 88, 81, 80, 98)( 52, 89, 74, 73, 60, 72, 59, 58)( 99,100),
( 1, 68)( 2, 80)( 3, 55)( 4, 83)( 5, 84)( 6, 85)( 7, 57)( 8, 93)
( 9, 78)( 10, 62)( 11, 56)( 12, 77)( 13, 65)( 14, 67)( 15, 94)
( 16, 95)( 17, 96)( 18, 60)( 19, 69)( 20, 70)( 21, 71)( 22, 92)
( 23, 79)( 24, 75)( 25, 53)( 26, 66)( 27, 51)( 28, 64)( 29, 91)
( 30, 61)( 31, 82)( 32, 98)( 33, 73)( 34, 74)( 35, 52)( 36, 86)
( 37, 87)( 38, 88)( 39, 90)( 40, 63)( 41, 54)( 42, 81)( 43, 76)
( 44, 89)( 45, 58)( 46, 59)( 47, 97)( 48, 72)( 49, 99)( 50,100),
( 1, 92, 14, 94, 12, 73, 6, 90, 3, 98, 30, 58)( 2, 82, 21, 81, 18,
86, 10, 65, 7, 63, 35, 97)( 4, 62, 31, 85, 29, 74, 16, 80, 13, 68,
43, 59)( 5, 79, 27, 95, 25, 89, 17, 93, 11, 83, 28, 72)
( 8, 51, 37, 77, 33, 71, 23, 56, 19, 61, 45, 57)( 9, 54, 38, 91, 34,
87, 24, 66, 20, 76, 46, 69)( 15, 75, 41, 96, 40, 52, 32, 78, 26, 84,
42, 60)( 22, 55, 47, 53, 44, 88, 39, 67, 36, 64, 48, 70)( 49, 99)
( 50,100) ],
[ ( 1, 21, 11)( 2, 34, 25)( 3, 17, 20)( 4, 37, 26)( 5, 38, 14)
( 6, 7, 27)( 8, 44, 40)( 9, 35, 30)( 10, 46, 28)( 12, 24, 18)
( 13, 32, 36)( 15, 47, 31)( 16, 19, 41)( 22, 45, 43)( 23, 48, 42)
( 29, 39, 33)( 49, 50)( 51, 62, 53)( 52, 68, 57)( 54, 79, 63)
( 55, 75, 61)( 56, 80, 64)( 58, 83, 69)( 59, 84, 70)( 60, 85, 71)
( 65, 90, 76)( 66, 93, 81)( 67, 78, 77)( 72, 94, 86)( 73, 95, 87)
( 74, 96, 88)( 82, 92, 91)( 89, 98, 97)( 99,100),
( 1,42,27,16,30,26, 5,29, 3,32,28,31, 6,40,11, 4,12,41,17,43,14,15,25,13)
( 2,48,38,23,35,36, 9,33, 7,39,46,37,10,44,20, 8,18,47,24,45,21,22,34,
19)(51,69,64,82,57,76,67,97,61,66,88,63,56,87,53,65,71,91,55,86,77,54,
70,81)(52,98,80,89,96,90,74,95,75,73,85,79,60,94,62,72,84,92,59,83,78,
58,68,93), ( 1, 65, 25, 94, 18, 93)( 2, 69, 27, 81, 20, 89)
( 3, 91, 21, 58, 9, 86)( 4, 56, 40, 85, 33, 78)( 5, 66, 30, 95, 34,
92)( 6, 82, 28, 98, 35, 79)( 7, 73, 24, 97, 14, 76)( 8, 70, 41, 77,
36, 52)( 10, 87, 11, 63, 38, 72)( 12, 83, 46, 90, 17, 54)
( 13, 53, 37, 59, 22, 71)( 15, 67, 43, 96, 44, 62)( 16, 51, 42, 68, 45,
75)( 19, 74, 39, 57, 31, 64)( 23, 88, 26, 61, 47, 60)( 29, 84, 48, 80,
32, 55)( 49,100)( 50, 99) ],
[ ( 1, 47, 3, 4, 7, 13, 5, 19, 11, 15, 20, 26, 6, 36, 14, 16, 21, 31,
17, 37, 27, 32, 38, 41)( 2, 45, 12, 8, 46, 29, 9, 48, 25, 22, 18,
40, 10, 33, 30, 23, 34, 43, 24, 44, 28, 39, 35, 42)( 49, 50)
( 51, 93, 61, 82, 80, 63, 67, 90, 53, 66, 75, 91, 56, 79, 77, 65, 62,
81, 55, 92, 64, 54, 78, 76)( 52, 95, 70, 89, 85, 69, 74, 94, 57, 73,
84, 97, 60, 83, 88, 72, 68, 87, 59, 98, 71, 58, 96, 86)( 99,100),
( 1, 64, 27, 67, 12, 96, 10, 59, 18, 78)( 2, 74, 35, 75, 6, 53, 11,
55, 30, 84)( 3, 51, 25, 68, 24, 60, 34, 62, 5, 77)( 4, 81, 41, 82,
29, 98, 23, 72, 33, 92)( 7, 70)( 8, 89, 45, 90, 16, 63, 26, 65, 43,
94)( 9, 52, 46, 80, 17, 61, 14, 56, 28, 85)( 13, 54, 40, 83, 39, 73,
44, 79, 15, 91)( 19, 86)( 20, 71)( 21, 88)( 22, 58, 48, 93, 32, 76,
31, 66, 42, 95)( 36, 87)( 37, 97)( 38, 57)( 47, 69)( 49,100)( 50, 99)
, ( 1, 72, 24, 98, 27, 91)( 2, 83, 3, 63, 5, 73)( 4, 60, 39, 68,
41, 53)( 6, 89, 9, 94, 11, 76)( 7, 54, 28, 86, 34, 93)
( 8, 84, 13, 61, 15, 74)( 10, 95, 14, 81, 17, 58)( 12, 87, 35, 92, 20,
65)( 16, 52, 22, 85, 26, 64)( 18, 90, 38, 82, 30, 69)( 19, 55, 42, 71,
44, 78)( 21, 66, 25, 97, 46, 79)( 23, 96, 31, 77, 32, 59)
( 29, 88, 45, 62, 36, 56)( 33, 80, 47, 51, 43, 70)( 37, 67, 40, 57, 48,
75)( 49,100)( 50, 99) ],
[ ( 1, 8, 21, 31, 18, 32, 2, 36, 14, 48, 17, 39, 20, 26, 46, 16, 24, 19,
11, 45, 6, 23, 7, 13, 35, 15, 10, 47, 3, 44, 5, 22, 38, 41, 34,
4, 9, 37, 27, 33)( 12, 40, 28, 29, 30, 42, 25, 43)( 49, 50)
( 51, 83, 77, 87, 59, 54, 84, 91, 88, 72, 55, 94, 53, 97, 60, 65, 85,
63, 57, 73, 56, 95, 61, 69, 74, 66, 96, 76, 70, 89, 67, 98, 64, 86,
52, 82, 68, 81, 71, 58)( 62, 93, 75, 92, 80, 79, 78, 90)( 99,100),
( 1, 64, 20, 59, 35, 85, 9, 70, 14, 51, 6, 53, 38, 74, 18, 68, 24, 88,
3, 56)( 2, 57, 11, 67, 5, 77, 21, 60, 46, 96, 10, 71, 27, 55, 17,
61, 7, 52, 34, 84)( 4, 81, 36, 72, 45, 95, 22, 86, 31, 54, 16, 63,
47, 89, 33, 83, 39, 97, 13, 66)( 8, 69, 26, 82, 15, 91, 37, 73, 48,
98, 23, 87, 41, 65, 32, 76, 19, 58, 44, 94)( 12, 80, 30, 62)
( 25, 78, 28, 75)( 29, 93, 43, 79)( 40, 92, 42, 90)( 49, 99)( 50,100),
( 1, 88, 2, 85, 38, 77)( 3, 51, 25, 59, 35, 78)( 4, 97, 8, 95, 47,
91)( 5, 57, 9, 96, 7, 53)( 6, 70, 10, 68, 20, 61)
( 11, 55, 30, 60, 46, 62)( 12, 52, 34, 80, 27, 67)( 13, 54, 40, 72, 45,
92)( 14, 56, 28, 74, 18, 75)( 15, 69, 22, 98, 19, 63)( 16, 86, 23, 83,
36, 76)( 17, 71, 24, 84, 21, 64)( 26, 65, 43, 73, 48, 79)
( 29, 58, 44, 93, 41, 82)( 31, 66, 42, 89, 33, 90)( 32, 87, 39, 94, 37,
81)( 49,100)( 50, 99) ],
[ ( 1,19,24,42,15, 5, 8,13,30,27)( 2,35,40,16,12, 9,23,37, 6, 4)
( 3,18,33,41,26)( 7,34,47,14,20)(10,28,22,48,36)(11,17,44,45,25)(21,32)
(29,39)(49,53)(50,87,64,61,90,57,77,54,72,78)(52,60)(55,86,73,81,96)
(56,69,75,71,88,67,80,63,83,85)(62,70,89,65,94)(66,91,84,92,95)
(74,82,93,76,79), ( 1,43,23,26,37, 3,39,34,16,45, 4,46,24,25,42,11,21,
33,27,48, 5,31,35,36,40,10,29,44, 6,47,12,38,13,14,30,20,32,22,15,41)
( 2,17, 8,28, 9, 7,19,18)(49,81,56,96,69,68,72,55,90,94,60,82,50,93,87,
58,71,76,85,91,53,70,67,89,80,59,61,65,78,86,52,92,57,95,77,51,83,66,
88,79)(54,74,75,62,64,84,63,73), ( 1,49)( 2,50)( 3,51)( 4,52)( 5,53)
( 6,54)( 7,55)( 8,56)( 9,57)(10,58)(11,59)(12,60)(13,61)(14,62)(15,63)
(16,64)(17,65)(18,66)(19,67)(20,68)(21,69)(22,70)(23,71)(24,72)(25,73)
(26,74)(27,75)(28,76)(29,77)(30,78)(31,79)(32,80)(33,81)(34,82)(35,83)
(36,84)(37,85)(38,86)(39,87)(40,88)(41,89)(42,90)(43,91)(44,92)(45,93)
(46,94)(47,95)(48,96) ],
[ ( 1,19,24,42,15, 5, 8,13,30,27)( 2,35,40,16,12, 9,23,37, 6, 4)
( 3,18,33,41,26)( 7,34,47,14,20)(10,28,22,48,36)(11,17,44,45,25)(21,32)
(29,39)(49,53)(50,87,64,61,90,57,77,54,72,78)(52,60)(55,86,73,81,96)
(56,69,75,71,88,67,80,63,83,85)(62,70,89,65,94)(66,91,84,92,95)
(74,82,93,76,79), ( 1,43,23,26,37, 3,39,34,16,45, 4,46,24,25,42,11,21,
33,27,48, 5,31,35,36,40,10,29,44, 6,47,12,38,13,14,30,20,32,22,15,41)
( 2,17, 8,28, 9, 7,19,18)(49,81,56,96,69,68,72,55,90,94,60,82,50,93,87,
58,71,76,85,91,53,70,67,89,80,59,61,65,78,86,52,92,57,95,77,51,83,66,
88,79)(54,74,75,62,64,84,63,73),
( 1,49, 5,53)( 2,50, 9,57)( 3,51,10,58)( 4,52,12,60)( 6,54,16,64)
( 7,55,17,65)( 8,56,19,67)(11,59,20,68)(13,61,24,72)(14,62,25,73)
(15,63,27,75)(18,66,28,76)(21,69,32,80)(22,70,33,81)(23,71,35,83)
(26,74,36,84)(29,77,39,87)(30,78,42,90)(31,79,43,91)(34,82,44,92)
(37,85,40,88)(38,86,46,94)(41,89,48,96)(45,93,47,95) ],
[ ( 1, 9, 8,20,22,31,34, 5)( 2, 3,37,17,18,23,16,39)( 4,33,29,19,24, 6,26,
7)(10,27,14,30,32,36,13,21)(11,25,40,15,35,12,28,38)(41,46,42,45)
(43,47,44,48)(49,57,56,68,70,79,82,53)(50,51,85,65,66,71,64,87)
(52,81,77,67,72,54,74,55)(58,75,62,78,80,84,61,69)(59,73,88,63,83,60,
76,86)(89,94,90,93)(91,95,92,96),
( 1,26,39, 7,22,29,17,19)( 2,28,37, 8,18,40,16,34)( 3,27,35,10,23,36,11,
32)( 4,25,38, 6,24,12,15,33)( 5,21,13, 9,20,30,14,31)(41,48,42,47)
(43,46,44,45)(49,74,87,55,70,77,65,67)(50,76,85,56,66,88,64,82)
(51,75,83,58,71,84,59,80)(52,73,86,54,72,60,63,81)(53,69,61,57,68,78,
62,79)(89,96,90,95)(91,94,92,93), ( 1,49)( 2,50)( 3,51)( 4,52)( 5,53)
( 6,54)( 7,55)( 8,56)( 9,57)(10,58)(11,59)(12,60)(13,61)(14,62)(15,63)
(16,64)(17,65)(18,66)(19,67)(20,68)(21,69)(22,70)(23,71)(24,72)(25,73)
(26,74)(27,75)(28,76)(29,77)(30,78)(31,79)(32,80)(33,81)(34,82)(35,83)
(36,84)(37,85)(38,86)(39,87)(40,88)(41,89)(42,90)(43,91)(44,92)(45,93)
(46,94)(47,95)(48,96) ],
[ ( 1, 4, 2, 3)( 5, 7, 6, 8)(13,14)(15,16)(17,35)(18,36)(19,34)(20,33)
(21,44)(22,43)(23,41)(24,42)(25,48)(26,47)(27,45)(28,46)(29,37)(30,38)
(31,39)(32,40)(49,52,50,51)(53,55,54,56)(61,62)(63,64)(65,83)(66,84)
(67,82)(68,81)(69,92)(70,91)(71,89)(72,90)(73,96)(74,95)(75,93)(76,94)
(77,85)(78,86)(79,87)(80,88),
( 1, 8, 2, 7)( 3, 5, 4, 6)( 9,20,24,42,45,14)(10,19,23,41,46,13)
(11,18,21,43,47,15)(12,17,22,44,48,16)(25,33,37,26,34,38)(27,36,39)
(28,35,40)(29,32)(30,31)(49,56,50,55)(51,53,52,54)(57,68,72,90,93,62)
(58,67,71,89,94,61)(59,66,69,91,95,63)(60,65,70,92,96,64)
(73,81,85,74,82,86)(75,84,87)(76,83,88)(77,80)(78,79),
( 1,49)( 2,50)( 3,51)( 4,52)( 5,53)( 6,54)( 7,55)( 8,56)( 9,57)(10,58)
(11,59)(12,60)(13,61)(14,62)(15,63)(16,64)(17,65)(18,66)(19,67)(20,68)
(21,69)(22,70)(23,71)(24,72)(25,73)(26,74)(27,75)(28,76)(29,77)(30,78)
(31,79)(32,80)(33,81)(34,82)(35,83)(36,84)(37,85)(38,86)(39,87)(40,88)
(41,89)(42,90)(43,91)(44,92)(45,93)(46,94)(47,95)(48,96) ],
[ ( 1, 19, 11, 4, 18, 10)( 2, 16, 7, 8, 21, 13)( 3, 24, 15, 9, 20,
14)( 5, 23, 12, 6, 22, 17)( 25, 28, 26, 27)( 29, 42, 49)
( 30, 45, 47)( 31, 39, 51)( 32, 43, 44)( 33, 35, 48)( 34, 41, 52)
( 36, 40, 46)( 37, 38, 50)( 53, 55, 54, 56)( 57, 75, 67, 60, 74, 66)
( 58, 72, 63, 64, 77, 69)( 59, 80, 71, 65, 76, 70)( 61, 79, 68, 62, 78,
73)( 81, 84, 82, 83)( 85, 98,105)( 86,101,103)( 87, 95,107)
( 88, 99,100)( 89, 91,104)( 90, 97,108)( 92, 96,102)( 93, 94,106)
(109,111,110,112), ( 1, 43, 10, 33, 12, 41)( 2, 40, 13, 37, 14, 39)
( 3, 48, 24, 30, 18, 46)( 4, 42, 11, 34, 17, 35)( 5, 50, 23, 32, 21,
49)( 6, 51, 22, 29, 16, 44)( 7, 31, 15, 38, 8, 45)( 9, 52, 20, 36,
19, 47)( 25, 54, 26, 53)( 27, 56, 28, 55)( 57, 99, 66, 89, 68, 97)
( 58, 96, 69, 93, 70, 95)( 59,104, 80, 86, 74,102)( 60, 98, 67, 90, 73,
91)( 61,106, 79, 88, 77,105)( 62,107, 78, 85, 72,100)( 63, 87, 71, 94,
64,101)( 65,108, 76, 92, 75,103)( 81,110, 82,109)( 83,112, 84,111),
( 1, 57)( 2, 58)( 3, 59)( 4, 60)( 5, 61)( 6, 62)( 7, 63)( 8, 64)
( 9, 65)( 10, 66)( 11, 67)( 12, 68)( 13, 69)( 14, 70)( 15, 71)
( 16, 72)( 17, 73)( 18, 74)( 19, 75)( 20, 76)( 21, 77)( 22, 78)
( 23, 79)( 24, 80)( 25, 81)( 26, 82)( 27, 83)( 28, 84)( 29, 85)
( 30, 86)( 31, 87)( 32, 88)( 33, 89)( 34, 90)( 35, 91)( 36, 92)
( 37, 93)( 38, 94)( 39, 95)( 40, 96)( 41, 97)( 42, 98)( 43, 99)
( 44,100)( 45,101)( 46,102)( 47,103)( 48,104)( 49,105)( 50,106)
( 51,107)( 52,108)( 53,109)( 54,110)( 55,111)( 56,112) ],
[ ( 1, 9, 8,20,22,31,34, 5)( 2, 3,37,17,18,23,16,39)( 4,33,29,19,24, 6,26,
7)(10,27,14,30,32,36,13,21)(11,25,40,15,35,12,28,38)(41,46,42,45)
(43,47,44,48)(49,57,56,68,70,79,82,53)(50,51,85,65,66,71,64,87)
(52,81,77,67,72,54,74,55)(58,75,62,78,80,84,61,69)(59,73,88,63,83,60,
76,86)(89,94,90,93)(91,95,92,96),
( 1,26,39, 7,22,29,17,19)( 2,28,37, 8,18,40,16,34)( 3,27,35,10,23,36,11,
32)( 4,25,38, 6,24,12,15,33)( 5,21,13, 9,20,30,14,31)(41,48,42,47)
(43,46,44,45)(49,74,87,55,70,77,65,67)(50,76,85,56,66,88,64,82)
(51,75,83,58,71,84,59,80)(52,73,86,54,72,60,63,81)(53,69,61,57,68,78,
62,79)(89,96,90,95)(91,94,92,93),
( 1,49,22,70)( 2,50,18,66)( 3,51,23,71)( 4,52,24,72)( 5,53,20,68)
( 6,54,33,81)( 7,55,19,67)( 8,56,34,82)( 9,57,31,79)(10,58,32,80)
(11,59,35,83)(12,60,25,73)(13,61,14,62)(15,63,38,86)(16,64,37,85)
(17,65,39,87)(21,69,30,78)(26,74,29,77)(27,75,36,84)(28,76,40,88)
(41,89)(42,90)(43,91)(44,92)(45,93)(46,94)(47,95)(48,96) ],
[ ( 1, 9, 8,20,22,31,34, 5)( 2, 3,37,17,18,23,16,39)( 4,33,29,19,24, 6,26,
7)(10,27,14,30,32,36,13,21)(11,25,40,15,35,12,28,38)(41,46,42,45)
(43,47,44,48)(49,75,66,86,70,84,50,63)(51,52,78,88,71,72,69,76)
(53,59,67,85,68,83,55,64)(54,82,65,61,81,56,87,62)(57,74,73,58,79,77,
60,80)(89,94,90,93)(91,95,92,96),
( 1,26,39, 7,22,29,17,19)( 2,28,37, 8,18,40,16,34)( 3,27,35,10,23,36,11,
32)( 4,25,38, 6,24,12,15,33)( 5,21,13, 9,20,30,14,31)(41,48,42,47)
(43,46,44,45)(49,82,62,84,70,56,61,75)(50,80,63,78,66,58,86,69)
(51,79,65,60,71,57,87,73)(52,67,59,88,72,55,83,76)(53,81,64,77,68,54,
85,74)(89,96,90,95)(91,94,92,93),
( 1,49, 5,53, 6,54,13,61,19,67)( 2,50,23,71,12,60,32,80,40,88)
( 3,51,25,73,10,58,28,76,18,66)( 4,52,27,75,11,59,15,63,30,78)
( 7,55,22,70,20,68,33,81,14,62)( 8,56,37,85,17,65, 9,57,29,77)
(16,64,39,87,31,79,26,74,34,82)(21,69,24,72,36,84,35,83,38,86)(41,89)
(42,90)(43,91)(44,92)(45,93)(46,94)(47,95)(48,96) ],
[ ( 1, 9, 8,20,22,31,34, 5)( 2, 3,37,17,18,23,16,39)( 4,33,29,19,24, 6,26,
7)(10,27,14,30,32,36,13,21)(11,25,40,15,35,12,28,38)(41,46,42,45)
(43,47,44,48)(49,75,66,86,70,84,50,63)(51,52,78,88,71,72,69,76)
(53,59,67,85,68,83,55,64)(54,82,65,61,81,56,87,62)(57,74,73,58,79,77,
60,80)(89,94,90,93)(91,95,92,96),
( 1,26,39, 7,22,29,17,19)( 2,28,37, 8,18,40,16,34)( 3,27,35,10,23,36,11,
32)( 4,25,38, 6,24,12,15,33)( 5,21,13, 9,20,30,14,31)(41,48,42,47)
(43,46,44,45)(49,82,62,84,70,56,61,75)(50,80,63,78,66,58,86,69)
(51,79,65,60,71,57,87,73)(52,67,59,88,72,55,83,76)(53,81,64,77,68,54,
85,74)(89,96,90,95)(91,94,92,93),
( 1,49,20,68, 6,54,14,62,19,67,22,70, 5,53,33,81,13,61, 7,55)
( 2,50, 3,51,12,60,10,58,40,88,18,66,23,71,25,73,32,80,28,76)
( 4,52,36,84,11,59,38,86,30,78,24,72,27,75,35,83,15,63,21,69)
( 8,56,16,64,17,65,31,79,29,77,34,82,37,85,39,87, 9,57,26,74)(41,89)
(42,90)(43,91)(44,92)(45,93)(46,94)(47,95)(48,96) ],
[ ( 1, 19, 11, 4, 18, 10)( 2, 16, 7, 8, 21, 13)( 3, 24, 15, 9, 20,
14)( 5, 23, 12, 6, 22, 17)( 25, 28, 26, 27)( 29, 42, 49)
( 30, 45, 47)( 31, 39, 51)( 32, 43, 44)( 33, 35, 48)( 34, 41, 52)
( 36, 40, 46)( 37, 38, 50)( 53, 55, 54, 56)( 57, 75, 67, 60, 74, 66)
( 58, 72, 63, 64, 77, 69)( 59, 80, 71, 65, 76, 70)( 61, 79, 68, 62, 78,
73)( 81, 84, 82, 83)( 85, 98,105)( 86,101,103)( 87, 95,107)
( 88, 99,100)( 89, 91,104)( 90, 97,108)( 92, 96,102)( 93, 94,106)
(109,111,110,112), ( 1, 43, 10, 33, 12, 41)( 2, 40, 13, 37, 14, 39)
( 3, 48, 24, 30, 18, 46)( 4, 42, 11, 34, 17, 35)( 5, 50, 23, 32, 21,
49)( 6, 51, 22, 29, 16, 44)( 7, 31, 15, 38, 8, 45)( 9, 52, 20, 36,
19, 47)( 25, 54, 26, 53)( 27, 56, 28, 55)( 57, 99, 66, 89, 68, 97)
( 58, 96, 69, 93, 70, 95)( 59,104, 80, 86, 74,102)( 60, 98, 67, 90, 73,
91)( 61,106, 79, 88, 77,105)( 62,107, 78, 85, 72,100)( 63, 87, 71, 94,
64,101)( 65,108, 76, 92, 75,103)( 81,109, 82,110)( 83,111, 84,112),
( 1, 57, 4, 60)( 2, 58, 8, 64)( 3, 59, 9, 65)( 5, 61, 6, 62)
( 7, 63, 13, 69)( 10, 66, 11, 67)( 12, 68, 17, 73)( 14, 70, 15, 71)
( 16, 72, 21, 77)( 18, 74, 19, 75)( 20, 76, 24, 80)( 22, 78, 23, 79)
( 25, 81, 26, 82)( 27, 83, 28, 84)( 29, 85, 32, 88)( 30, 86, 36, 92)
( 31, 87, 37, 93)( 33, 89, 34, 90)( 35, 91, 41, 97)( 38, 94, 39, 95)
( 40, 96, 45,101)( 42, 98, 43, 99)( 44,100, 49,105)( 46,102, 47,103)
( 48,104, 52,108)( 50,106, 51,107)( 53,109, 54,110)( 55,111, 56,112) ],
[ ( 1, 9, 8,20,22,31,34, 5)( 2, 3,37,17,18,23,16,39)( 4,33,29,19,24, 6,26,
7)(10,27,14,30,32,36,13,21)(11,25,40,15,35,12,28,38)(41,46,42,45)
(43,47,44,48)(49,52,83,62,70,72,59,61)(50,80,81,68,66,58,54,53)
(51,56,73,55,71,82,60,67)(57,75,87,88,79,84,65,76)(63,85,74,78,86,64,
77,69)(89,94,90,93)(91,95,92,96),
( 1,26,39, 7,22,29,17,19)( 2,28,37, 8,18,40,16,34)( 3,27,35,10,23,36,11,
32)( 4,25,38, 6,24,12,15,33)( 5,21,13, 9,20,30,14,31)(41,48,42,47)
(43,46,44,45)(49,57,63,76,70,79,86,88)(50,54,65,75,66,81,87,84)
(51,55,64,69,71,67,85,78)(52,58,62,74,72,80,61,77)(53,56,59,73,68,82,
83,60)(89,95,90,96)(91,93,92,94),
( 1,49, 6,54,22,70,33,81)( 2,50,27,75,18,66,36,84)( 3,51, 5,53,23,71,20,
68)( 4,52,25,73,24,72,12,60)( 7,55,37,85,19,67,16,64)( 8,56,28,76,34,
82,40,88)( 9,57,13,61,31,79,14,62)(10,58,29,77,32,80,26,74)
(11,59,30,78,35,83,21,69)(15,63,39,87,38,86,17,65)(41,89,42,90)
(43,91,44,92)(45,93,46,94)(47,95,48,96) ],
[ ( 1, 19, 11, 4, 18, 10)( 2, 16, 7, 8, 21, 13)( 3, 24, 15, 9, 20,
14)( 5, 23, 12, 6, 22, 17)( 25, 28, 26, 27)( 29, 42, 49)
( 30, 45, 47)( 31, 39, 51)( 32, 43, 44)( 33, 35, 48)( 34, 41, 52)
( 36, 40, 46)( 37, 38, 50)( 53, 55, 54, 56)( 57, 65, 71)( 58, 62, 68)
( 59, 70, 60)( 61, 73, 64)( 63, 80, 72)( 66, 79, 74)( 67, 78, 75)
( 69, 76, 77)( 81, 84, 82, 83)( 85, 90,108, 88, 89,104)
( 86, 87,107, 92, 93,106)( 91,101,103, 97, 96,102)( 94, 99,100, 95, 98,
105)(109,111,110,112),
( 1, 43, 10, 33, 12, 41)( 2, 40, 13, 37, 14, 39)( 3, 48, 24, 30, 18,
46)( 4, 42, 11, 34, 17, 35)( 5, 50, 23, 32, 21, 49)
( 6, 51, 22, 29, 16, 44)( 7, 31, 15, 38, 8, 45)( 9, 52, 20, 36, 19,
47)( 25, 54, 26, 53)( 27, 56, 28, 55)( 57, 95, 77,100, 70, 89)
( 58, 91, 75,102, 73, 93)( 59, 86, 79, 99, 67,106)( 60, 94, 72,105, 71,
90)( 61, 88, 76, 96, 63,108)( 62, 85, 80,101, 69,104)( 64, 97, 74,103,
68, 87)( 65, 92, 78, 98, 66,107)( 81,110, 82,109)( 83,112, 84,111),
( 1, 57)( 2, 58)( 3, 59)( 4, 60)( 5, 61)( 6, 62)( 7, 63)( 8, 64)
( 9, 65)( 10, 66)( 11, 67)( 12, 68)( 13, 69)( 14, 70)( 15, 71)
( 16, 72)( 17, 73)( 18, 74)( 19, 75)( 20, 76)( 21, 77)( 22, 78)
( 23, 79)( 24, 80)( 25, 81)( 26, 82)( 27, 83)( 28, 84)( 29, 85)
( 30, 86)( 31, 87)( 32, 88)( 33, 89)( 34, 90)( 35, 91)( 36, 92)
( 37, 93)( 38, 94)( 39, 95)( 40, 96)( 41, 97)( 42, 98)( 43, 99)
( 44,100)( 45,101)( 46,102)( 47,103)( 48,104)( 49,105)( 50,106)
( 51,107)( 52,108)( 53,109)( 54,110)( 55,111)( 56,112) ],
[ ( 1, 9, 8,20,22,31,34, 5)( 2, 3,37,17,18,23,16,39)( 4,33,29,19,24, 6,26,
7)(10,27,14,30,32,36,13,21)(11,25,40,15,35,12,28,38)(41,46,42,45)
(43,47,44,48)(49,52,83,62,70,72,59,61)(50,80,81,68,66,58,54,53)
(51,56,73,55,71,82,60,67)(57,75,87,88,79,84,65,76)(63,85,74,78,86,64,
77,69)(89,94,90,93)(91,95,92,96),
( 1,26,39, 7,22,29,17,19)( 2,28,37, 8,18,40,16,34)( 3,27,35,10,23,36,11,
32)( 4,25,38, 6,24,12,15,33)( 5,21,13, 9,20,30,14,31)(41,48,42,47)
(43,46,44,45)(49,57,63,76,70,79,86,88)(50,54,65,75,66,81,87,84)
(51,55,64,69,71,67,85,78)(52,58,62,74,72,80,61,77)(53,56,59,73,68,82,
83,60)(89,95,90,96)(91,93,92,94),
( 1,49,33,81,22,70, 6,54)( 2,50,36,84,18,66,27,75)( 3,51,20,68,23,71, 5,
53)( 4,52,12,60,24,72,25,73)( 7,55,16,64,19,67,37,85)( 8,56,40,88,34,
82,28,76)( 9,57,14,62,31,79,13,61)(10,58,26,74,32,80,29,77)
(11,59,21,69,35,83,30,78)(15,63,17,65,38,86,39,87)(41,89,42,90)
(43,91,44,92)(45,93,46,94)(47,95,48,96) ],
[ ( 1, 2,35,16,22,18,11,37)( 3, 4, 8, 6,23,24,34,33)( 5,32,36,31,20,10,27,
9)( 7,25,15,29,19,12,38,26)(13,40,21,39,14,28,30,17)(45,46,79,60,66,
62,55,81)(47,48,52,50,67,68,78,77)(49,76,80,75,64,54,71,53)
(51,69,59,73,63,56,82,70)(57,84,65,83,58,72,74,61),
( 1,28,14,37,26,22,40,13,16,29)( 2,10,35,34, 4,18,32,11, 8,24)
( 3,25,33,27,20,23,12, 6,36, 5)( 7,38,39,31,30,19,15,17, 9,21)
(41,43,42,44)(45,72,58,81,70,66,84,57,60,73)(46,54,79,78,48,62,76,55,
52,68)(47,69,77,71,64,67,56,50,80,49)(51,82,83,75,74,63,59,61,53,65)
(85,88,86,87), ( 1,45)( 2,46)( 3,47)( 4,48)( 5,49)( 6,50)( 7,51)( 8,52)
( 9,53)(10,54)(11,55)(12,56)(13,57)(14,58)(15,59)(16,60)(17,61)(18,62)
(19,63)(20,64)(21,65)(22,66)(23,67)(24,68)(25,69)(26,70)(27,71)(28,72)
(29,73)(30,74)(31,75)(32,76)(33,77)(34,78)(35,79)(36,80)(37,81)(38,82)
(39,83)(40,84)(41,85,42,86)(43,87,44,88) ],
[ ( 1, 2,35,16,22,18,11,37)( 3, 4, 8, 6,23,24,34,33)( 5,32,36,31,20,10,27,
9)( 7,25,15,29,19,12,38,26)(13,40,21,39,14,28,30,17)(45,46,79,60,66,
62,55,81)(47,48,52,50,67,68,78,77)(49,76,80,75,64,54,71,53)
(51,69,59,73,63,56,82,70)(57,84,65,83,58,72,74,61),
( 1,28,14,37,26,22,40,13,16,29)( 2,10,35,34, 4,18,32,11, 8,24)
( 3,25,33,27,20,23,12, 6,36, 5)( 7,38,39,31,30,19,15,17, 9,21)
(41,43,42,44)(45,72,58,81,70,66,84,57,60,73)(46,54,79,78,48,62,76,55,
52,68)(47,69,77,71,64,67,56,50,80,49)(51,82,83,75,74,63,59,61,53,65)
(85,88,86,87), ( 1,45,22,66)( 2,46,18,62)( 3,47,23,67)( 4,48,24,68)
( 5,49,20,64)( 6,50,33,77)( 7,51,19,63)( 8,52,34,78)( 9,53,31,75)
(10,54,32,76)(11,55,35,79)(12,56,25,69)(13,57,14,58)(15,59,38,82)
(16,60,37,81)(17,61,39,83)(21,65,30,74)(26,70,29,73)(27,71,36,80)
(28,72,40,84)(41,85,42,86)(43,87,44,88) ],
[ ( 1, 5, 18)( 2, 10, 24)( 3, 15, 6)( 4, 20, 12)( 7, 8, 23)
( 9, 13, 14)( 11, 19, 16)( 17, 21, 22)( 25, 29, 42)( 26, 34, 48)
( 27, 39, 30)( 28, 44, 36)( 31, 32, 47)( 33, 37, 38)( 35, 43, 40)
( 41, 45, 46)( 49, 51, 50, 52)( 53, 57, 70)( 54, 62, 76)( 55, 67, 58)
( 56, 72, 64)( 59, 60, 75)( 61, 65, 66)( 63, 71, 68)( 69, 73, 74)
( 77, 81, 94)( 78, 86,100)( 79, 91, 82)( 80, 96, 88)( 83, 84, 99)
( 85, 89, 90)( 87, 95, 92)( 93, 97, 98)(101,104,102,103),
( 1, 44, 23, 31, 24, 46, 3, 34, 11, 43, 12, 38)( 2, 29, 9, 37, 6,
32, 4, 39, 17, 45, 18, 40)( 5, 47, 13, 48, 8, 27, 15, 35, 21, 36,
16, 25)( 7, 42, 22, 26, 10, 33, 19, 30, 14, 28, 20, 41)
( 53, 96, 75, 83, 76, 98, 55, 86, 63, 95, 64, 90)( 54, 81, 61, 89, 58,
84, 56, 91, 69, 97, 70, 92)( 57, 99, 65,100, 60, 79, 67, 87, 73, 88,
68, 77)( 59, 94, 74, 78, 62, 85, 71, 82, 66, 80, 72, 93),
( 1, 53)( 2, 54)( 3, 55)( 4, 56)( 5, 57)( 6, 58)( 7, 59)( 8, 60)
( 9, 61)( 10, 62)( 11, 63)( 12, 64)( 13, 65)( 14, 66)( 15, 67)
( 16, 68)( 17, 69)( 18, 70)( 19, 71)( 20, 72)( 21, 73)( 22, 74)
( 23, 75)( 24, 76)( 25, 77)( 26, 78)( 27, 79)( 28, 80)( 29, 81)
( 30, 82)( 31, 83)( 32, 84)( 33, 85)( 34, 86)( 35, 87)( 36, 88)
( 37, 89)( 38, 90)( 39, 91)( 40, 92)( 41, 93)( 42, 94)( 43, 95)
( 44, 96)( 45, 97)( 46, 98)( 47, 99)( 48,100)( 49,101, 50,102)
( 51,103, 52,104) ],
[ ( 1, 5, 18)( 2, 10, 24)( 3, 15, 6)( 4, 20, 12)( 7, 8, 23)
( 9, 13, 14)( 11, 19, 16)( 17, 21, 22)( 25, 29, 42)( 26, 34, 48)
( 27, 39, 30)( 28, 44, 36)( 31, 32, 47)( 33, 37, 38)( 35, 43, 40)
( 41, 45, 46)( 49, 51, 50, 52)( 53, 57, 70)( 54, 62, 76)( 55, 67, 58)
( 56, 72, 64)( 59, 60, 75)( 61, 65, 66)( 63, 71, 68)( 69, 73, 74)
( 77, 81, 94)( 78, 86,100)( 79, 91, 82)( 80, 96, 88)( 83, 84, 99)
( 85, 89, 90)( 87, 95, 92)( 93, 97, 98)(101,104,102,103),
( 1, 44, 23, 31, 24, 46, 3, 34, 11, 43, 12, 38)( 2, 29, 9, 37, 6,
32, 4, 39, 17, 45, 18, 40)( 5, 47, 13, 48, 8, 27, 15, 35, 21, 36,
16, 25)( 7, 42, 22, 26, 10, 33, 19, 30, 14, 28, 20, 41)
( 53, 96, 75, 83, 76, 98, 55, 86, 63, 95, 64, 90)( 54, 81, 61, 89, 58,
84, 56, 91, 69, 97, 70, 92)( 57, 99, 65,100, 60, 79, 67, 87, 73, 88,
68, 77)( 59, 94, 74, 78, 62, 85, 71, 82, 66, 80, 72, 93),
( 1, 53, 3, 55)( 2, 54, 4, 56)( 5, 57, 15, 67)( 6, 58, 18, 70)
( 7, 59, 19, 71)( 8, 60, 16, 68)( 9, 61, 17, 69)( 10, 62, 20, 72)
( 11, 63, 23, 75)( 12, 64, 24, 76)( 13, 65, 21, 73)( 14, 66, 22, 74)
( 25, 77, 27, 79)( 26, 78, 28, 80)( 29, 81, 39, 91)( 30, 82, 42, 94)
( 31, 83, 43, 95)( 32, 84, 40, 92)( 33, 85, 41, 93)( 34, 86, 44, 96)
( 35, 87, 47, 99)( 36, 88, 48,100)( 37, 89, 45, 97)( 38, 90, 46, 98)
( 49,101, 50,102)( 51,103, 52,104) ],
[ ( 1, 2,35,16,22,18,11,37)( 3, 4, 8, 6,23,24,34,33)( 5,32,36,31,20,10,27,
9)( 7,25,15,29,19,12,38,26)(13,40,21,39,14,28,30,17)(45,54,65,52,66,
76,74,78)(46,48,75,63,62,68,53,51)(47,82,61,64,67,59,83,49)
(50,72,79,73,77,84,55,70)(56,71,60,57,69,80,81,58),
( 1,28,14,37,26,22,40,13,16,29)( 2,10,35,34, 4,18,32,11, 8,24)
( 3,25,33,27,20,23,12, 6,36, 5)( 7,38,39,31,30,19,15,17, 9,21)
(41,43,42,44)(45,46,84,51,74,66,62,72,63,65)(47,76,82,53,48,67,54,59,
75,68)(49,56,58,83,73,64,69,57,61,70)(50,55,60,78,80,77,79,81,52,71)
(85,88,86,87), ( 1,45,22,66)( 2,46,18,62)( 3,47,23,67)( 4,48,24,68)
( 5,49,20,64)( 6,50,33,77)( 7,51,19,63)( 8,52,34,78)( 9,53,31,75)
(10,54,32,76)(11,55,35,79)(12,56,25,69)(13,57,14,58)(15,59,38,82)
(16,60,37,81)(17,61,39,83)(21,65,30,74)(26,70,29,73)(27,71,36,80)
(28,72,40,84)(41,85,42,86)(43,87,44,88) ],
[ ( 1, 2,35,16,22,18,11,37)( 3, 4, 8, 6,23,24,34,33)( 5,32,36,31,20,10,27,
9)( 7,25,15,29,19,12,38,26)(13,40,21,39,14,28,30,17)(45,54,65,52,66,
76,74,78)(46,48,75,63,62,68,53,51)(47,82,61,64,67,59,83,49)
(50,72,79,73,77,84,55,70)(56,71,60,57,69,80,81,58),
( 1,28,14,37,26,22,40,13,16,29)( 2,10,35,34, 4,18,32,11, 8,24)
( 3,25,33,27,20,23,12, 6,36, 5)( 7,38,39,31,30,19,15,17, 9,21)
(41,43,42,44)(45,46,84,51,74,66,62,72,63,65)(47,76,82,53,48,67,54,59,
75,68)(49,56,58,83,73,64,69,57,61,70)(50,55,60,78,80,77,79,81,52,71)
(85,88,86,87), ( 1,45)( 2,46)( 3,47)( 4,48)( 5,49)( 6,50)( 7,51)( 8,52)
( 9,53)(10,54)(11,55)(12,56)(13,57)(14,58)(15,59)(16,60)(17,61)(18,62)
(19,63)(20,64)(21,65)(22,66)(23,67)(24,68)(25,69)(26,70)(27,71)(28,72)
(29,73)(30,74)(31,75)(32,76)(33,77)(34,78)(35,79)(36,80)(37,81)(38,82)
(39,83)(40,84)(41,85,42,86)(43,87,44,88) ],
[ ( 1, 5, 18)( 2, 10, 24)( 3, 15, 6)( 4, 20, 12)( 7, 8, 23)
( 9, 13, 14)( 11, 19, 16)( 17, 21, 22)( 25, 29, 42)( 26, 34, 48)
( 27, 39, 30)( 28, 44, 36)( 31, 32, 47)( 33, 37, 38)( 35, 43, 40)
( 41, 45, 46)( 49, 51, 50, 52)( 53, 57, 70)( 54, 62, 76)( 55, 67, 58)
( 56, 72, 64)( 59, 60, 75)( 61, 65, 66)( 63, 71, 68)( 69, 73, 74)
( 77, 81, 94)( 78, 86,100)( 79, 91, 82)( 80, 96, 88)( 83, 84, 99)
( 85, 89, 90)( 87, 95, 92)( 93, 97, 98)(101,104,102,103),
( 1, 44, 23, 31, 24, 46, 3, 34, 11, 43, 12, 38)( 2, 29, 9, 37, 6,
32, 4, 39, 17, 45, 18, 40)( 5, 47, 13, 48, 8, 27, 15, 35, 21, 36,
16, 25)( 7, 42, 22, 26, 10, 33, 19, 30, 14, 28, 20, 41)
( 53, 86, 75, 95, 76, 90, 55, 96, 63, 83, 64, 98)( 54, 91, 61, 97, 58,
92, 56, 81, 69, 89, 70, 84)( 57, 87, 65, 88, 60, 77, 67, 99, 73,100,
68, 79)( 59, 82, 74, 80, 62, 93, 71, 94, 66, 78, 72, 85),
( 1, 53)( 2, 54)( 3, 55)( 4, 56)( 5, 57)( 6, 58)( 7, 59)( 8, 60)
( 9, 61)( 10, 62)( 11, 63)( 12, 64)( 13, 65)( 14, 66)( 15, 67)
( 16, 68)( 17, 69)( 18, 70)( 19, 71)( 20, 72)( 21, 73)( 22, 74)
( 23, 75)( 24, 76)( 25, 77)( 26, 78)( 27, 79)( 28, 80)( 29, 81)
( 30, 82)( 31, 83)( 32, 84)( 33, 85)( 34, 86)( 35, 87)( 36, 88)
( 37, 89)( 38, 90)( 39, 91)( 40, 92)( 41, 93)( 42, 94)( 43, 95)
( 44, 96)( 45, 97)( 46, 98)( 47, 99)( 48,100)( 49,101, 50,102)
( 51,103, 52,104) ],
[ ( 1, 5, 18)( 2, 10, 24)( 3, 15, 6)( 4, 20, 12)( 7, 8, 23)
( 9, 13, 14)( 11, 19, 16)( 17, 21, 22)( 25, 29, 42)( 26, 34, 48)
( 27, 39, 30)( 28, 44, 36)( 31, 32, 47)( 33, 37, 38)( 35, 43, 40)
( 41, 45, 46)( 49, 51, 50, 52)( 53, 57, 70)( 54, 62, 76)( 55, 67, 58)
( 56, 72, 64)( 59, 60, 75)( 61, 65, 66)( 63, 71, 68)( 69, 73, 74)
( 77, 81, 94)( 78, 86,100)( 79, 91, 82)( 80, 96, 88)( 83, 84, 99)
( 85, 89, 90)( 87, 95, 92)( 93, 97, 98)(101,104,102,103),
( 1, 44, 23, 31, 24, 46, 3, 34, 11, 43, 12, 38)( 2, 29, 9, 37, 6,
32, 4, 39, 17, 45, 18, 40)( 5, 47, 13, 48, 8, 27, 15, 35, 21, 36,
16, 25)( 7, 42, 22, 26, 10, 33, 19, 30, 14, 28, 20, 41)
( 53, 86, 75, 95, 76, 90, 55, 96, 63, 83, 64, 98)( 54, 91, 61, 97, 58,
92, 56, 81, 69, 89, 70, 84)( 57, 87, 65, 88, 60, 77, 67, 99, 73,100,
68, 79)( 59, 82, 74, 80, 62, 93, 71, 94, 66, 78, 72, 85),
( 1, 53, 3, 55)( 2, 54, 4, 56)( 5, 57, 15, 67)( 6, 58, 18, 70)
( 7, 59, 19, 71)( 8, 60, 16, 68)( 9, 61, 17, 69)( 10, 62, 20, 72)
( 11, 63, 23, 75)( 12, 64, 24, 76)( 13, 65, 21, 73)( 14, 66, 22, 74)
( 25, 77, 27, 79)( 26, 78, 28, 80)( 29, 81, 39, 91)( 30, 82, 42, 94)
( 31, 83, 43, 95)( 32, 84, 40, 92)( 33, 85, 41, 93)( 34, 86, 44, 96)
( 35, 87, 47, 99)( 36, 88, 48,100)( 37, 89, 45, 97)( 38, 90, 46, 98)
( 49,101, 50,102)( 51,103, 52,104) ],
[ ( 1, 2,35,16,22,18,11,37)( 3, 4, 8, 6,23,24,34,33)( 5,32,36,31,20,10,27,
9)( 7,25,15,29,19,12,38,26)(13,40,21,39,14,28,30,17)(45,54,65,52,66,
76,74,78)(46,48,75,63,62,68,53,51)(47,82,61,64,67,59,83,49)
(50,72,79,73,77,84,55,70)(56,71,60,57,69,80,81,58),
( 1,28,14,37,26,22,40,13,16,29)( 2,10,35,34, 4,18,32,11, 8,24)
( 3,25,33,27,20,23,12, 6,36, 5)( 7,38,39,31,30,19,15,17, 9,21)
(41,43,42,44)(45,62,84,63,74)(46,72,51,65,66)(47,54,82,75,48)
(49,69,58,61,73)(50,79,60,52,80)(53,68,67,76,59)(55,81,78,71,77)
(56,57,83,70,64)(85,88,86,87), ( 1,45,22,66)( 2,46,18,62)( 3,47,23,67)
( 4,48,24,68)( 5,49,20,64)( 6,50,33,77)( 7,51,19,63)( 8,52,34,78)
( 9,53,31,75)(10,54,32,76)(11,55,35,79)(12,56,25,69)(13,57,14,58)
(15,59,38,82)(16,60,37,81)(17,61,39,83)(21,65,30,74)(26,70,29,73)
(27,71,36,80)(28,72,40,84)(41,85,42,86)(43,87,44,88) ],
[ ( 1, 5, 18)( 2, 10, 24)( 3, 15, 6)( 4, 20, 12)( 7, 8, 23)
( 9, 13, 14)( 11, 19, 16)( 17, 21, 22)( 25, 29, 42)( 26, 34, 48)
( 27, 39, 30)( 28, 44, 36)( 31, 32, 47)( 33, 37, 38)( 35, 43, 40)
( 41, 45, 46)( 49, 51, 50, 52)( 53, 67, 70, 55, 57, 58)
( 54, 72, 76, 56, 62, 64)( 59, 68, 75, 71, 60, 63)( 61, 73, 66, 69, 65,
74)( 77, 91, 94, 79, 81, 82)( 78, 96,100, 80, 86, 88)( 83, 92, 99, 95,
84, 87)( 85, 97, 90, 93, 89, 98)(101,104,102,103),
( 1, 44, 23, 31, 24, 46, 3, 34, 11, 43, 12, 38)( 2, 29, 9, 37, 6,
32, 4, 39, 17, 45, 18, 40)( 5, 47, 13, 48, 8, 27, 15, 35, 21, 36,
16, 25)( 7, 42, 22, 26, 10, 33, 19, 30, 14, 28, 20, 41)
( 53, 86, 75, 95, 76, 90, 55, 96, 63, 83, 64, 98)( 54, 91, 61, 97, 58,
92, 56, 81, 69, 89, 70, 84)( 57, 87, 65, 88, 60, 77, 67, 99, 73,100,
68, 79)( 59, 82, 74, 80, 62, 93, 71, 94, 66, 78, 72, 85),
( 1, 53)( 2, 54)( 3, 55)( 4, 56)( 5, 57)( 6, 58)( 7, 59)( 8, 60)
( 9, 61)( 10, 62)( 11, 63)( 12, 64)( 13, 65)( 14, 66)( 15, 67)
( 16, 68)( 17, 69)( 18, 70)( 19, 71)( 20, 72)( 21, 73)( 22, 74)
( 23, 75)( 24, 76)( 25, 77)( 26, 78)( 27, 79)( 28, 80)( 29, 81)
( 30, 82)( 31, 83)( 32, 84)( 33, 85)( 34, 86)( 35, 87)( 36, 88)
( 37, 89)( 38, 90)( 39, 91)( 40, 92)( 41, 93)( 42, 94)( 43, 95)
( 44, 96)( 45, 97)( 46, 98)( 47, 99)( 48,100)( 49,101, 50,102)
( 51,103, 52,104) ],
[ ( 1, 4, 2, 3)( 5, 7, 6, 8)( 9,13,23,21,29,10,14,24,22,30)(11,19,15,25,31,
12,20,16,26,32)(17,18)(27,28)(33,36,34,35)(37,39,38,40)
(41,45,55,53,61,42,46,56,54,62)(43,51,47,57,63,44,52,48,58,64)(49,50)
(59,60), ( 1, 5, 2, 6)( 3, 7, 4, 8)( 9,10)(11,30)(12,29)(13,28)(14,27)
(15,16)(17,25)(18,26)(19,21)(20,22)(33,37,34,38)(35,39,36,40)(41,42)
(43,62)(44,61)(45,60)(46,59)(47,48)(49,57)(50,58)(51,53)(52,54),
( 1,33)( 2,34)( 3,35)( 4,36)( 5,37)( 6,38)( 7,39)( 8,40)( 9,41)(10,42)
(11,43)(12,44)(13,45)(14,46)(15,47)(16,48)(17,49)(18,50)(19,51)(20,52)
(21,53)(22,54)(23,55)(24,56)(25,57)(26,58)(27,59)(28,60)(29,61)(30,62)
(31,63)(32,64) ],
[ ( 1, 2)( 7,11,25, 8,12,26)( 9,13,24,10,14,23)(15,27,18,16,28,17)
(19,29,22,20,30,21)(31,32)(37,41,55,38,42,56)(39,43,54,40,44,53)
(45,57,48,46,58,47)(49,59,52,50,60,51),
( 1, 2)( 3, 4, 5, 6)( 7,21,11,27,16)( 8,22,12,28,15)( 9,18,13,29,20)
(10,17,14,30,19)(31,32)(33,36,35,34)(37,51,41,57,46)(38,52,42,58,45)
(39,48,43,59,50)(40,47,44,60,49),
( 1,31)( 2,32)( 3,33, 5,35)( 4,34, 6,36)( 7,37)( 8,38)( 9,39)(10,40)
(11,41)(12,42)(13,43)(14,44)(15,45)(16,46)(17,47)(18,48)(19,49)(20,50)
(21,51)(22,52)(23,53)(24,54)(25,55)(26,56)(27,57)(28,58)(29,59)(30,60)
],
[ ( 1, 9,16, 8,20,11, 4,15,10, 3,14, 5)( 2,17,23,12,13,24, 7,22,21, 6,19,18
)(25,26)(27,28)(29,37,44,36,48,39,32,43,38,31,42,33)(30,45,51,40,41,
52,35,50,49,34,47,46)(53,54)(55,56),
( 1,15,23,19,11, 4, 9,21,13, 5)( 2, 7)( 3,20,18,22,16, 8,14,24,17,10)
( 6,12)(25,27,26,28)(29,43,51,47,39,32,37,49,41,33)(30,35)
(31,48,46,50,44,36,42,52,45,38)(34,40)(53,56,54,55),
( 1,29, 4,32)( 2,30, 7,35)( 3,31, 8,36)( 5,33,11,39)( 6,34,12,40)
( 9,37,15,43)(10,38,16,44)(13,41,19,47)(14,42,20,48)(17,45,22,50)
(18,46,24,52)(21,49,23,51)(25,53,26,54)(27,55,28,56) ],
[ ( 1, 3, 2, 4)( 5, 17, 6, 18)( 7, 19, 8, 20)( 9, 30, 47, 24, 49,
25, 13, 37, 44, 34, 10, 29, 48, 23, 50, 26, 14, 38, 43, 33)
( 11, 32, 45, 21, 52, 27, 15, 40, 41, 35, 12, 31, 46, 22, 51, 28, 16,
39, 42, 36)( 53, 56, 54, 55)( 57, 69, 58, 70)( 59, 71, 60, 72)
( 61, 82, 99, 76,101, 77, 65, 89, 96, 86, 62, 81,100, 75,102, 78, 66,
90, 95, 85)( 63, 84, 97, 73,104, 79, 67, 92, 93, 87, 64, 83, 98, 74,
103, 80, 68, 91, 94, 88), ( 1, 4, 2, 3)( 5, 13, 36, 20, 32, 49)
( 6, 14, 35, 19, 31, 50)( 7, 16, 34, 18, 29, 51)( 8, 15, 33, 17, 30,
52)( 9, 45, 23, 28, 38, 42)( 10, 46, 24, 27, 37, 41)( 11, 48, 21, 26,
40, 44)( 12, 47, 22, 25, 39, 43)( 53, 55, 54, 56)( 57, 65, 88, 72, 84,
101)( 58, 66, 87, 71, 83,102)( 59, 68, 86, 70, 81,103)
( 60, 67, 85, 69, 82,104)( 61, 97, 75, 80, 90, 94)( 62, 98, 76, 79, 89,
93)( 63,100, 73, 78, 92, 96)( 64, 99, 74, 77, 91, 95),
( 1, 53, 2, 54)( 3, 55, 4, 56)( 5, 57)( 6, 58)( 7, 59)( 8, 60)
( 9, 61)( 10, 62)( 11, 63)( 12, 64)( 13, 65)( 14, 66)( 15, 67)
( 16, 68)( 17, 69)( 18, 70)( 19, 71)( 20, 72)( 21, 73)( 22, 74)
( 23, 75)( 24, 76)( 25, 77)( 26, 78)( 27, 79)( 28, 80)( 29, 81)
( 30, 82)( 31, 83)( 32, 84)( 33, 85)( 34, 86)( 35, 87)( 36, 88)
( 37, 89)( 38, 90)( 39, 91)( 40, 92)( 41, 93)( 42, 94)( 43, 95)
( 44, 96)( 45, 97)( 46, 98)( 47, 99)( 48,100)( 49,101)( 50,102)
( 51,103)( 52,104) ],
[ ( 1, 9,16, 8,20,11, 4,15,10, 3,14, 5)( 2,17,23,12,13,24, 7,22,21, 6,19,18
)(25,26)(27,28)(29,51,33,31,46,38,32,49,39,36,52,44)(30,41,42,34,45,
43,35,47,48,40,50,37)(53,54)(55,56),
( 1,15,23,19,11, 4, 9,21,13, 5)( 2, 7)( 3,20,18,22,16, 8,14,24,17,10)
( 6,12)(25,27,26,28)(29,30,47,48,52,32,35,41,42,46)(31,34,50,37,51,36,
40,45,43,49)(33,39)(38,44)(53,56,54,55),
( 1,29, 4,32)( 2,30, 7,35)( 3,31, 8,36)( 5,33,11,39)( 6,34,12,40)
( 9,37,15,43)(10,38,16,44)(13,41,19,47)(14,42,20,48)(17,45,22,50)
(18,46,24,52)(21,49,23,51)(25,53,26,54)(27,55,28,56) ],
[ ( 1, 9,16, 8,20,11, 4,15,10, 3,14, 5)( 2,17,23,12,13,24, 7,22,21, 6,19,18
)(25,26)(27,28)(29,51,33,31,46,38,32,49,39,36,52,44)(30,41,42,34,45,
43,35,47,48,40,50,37)(53,54)(55,56),
( 1,15,23,19,11, 4, 9,21,13, 5)( 2, 7)( 3,20,18,22,16, 8,14,24,17,10)
( 6,12)(25,27,26,28)(29,35,47,42,52)(30,41,48,46,32)(31,40,50,43,51)
(34,45,37,49,36)(53,56,54,55), ( 1,29, 4,32)( 2,30, 7,35)( 3,31, 8,36)
( 5,33,11,39)( 6,34,12,40)( 9,37,15,43)(10,38,16,44)(13,41,19,47)
(14,42,20,48)(17,45,22,50)(18,46,24,52)(21,49,23,51)(25,53,26,54)
(27,55,28,56) ],
[ ( 1, 5, 18)( 2, 10, 24)( 3, 15, 6)( 4, 20, 12)( 7, 8, 23)
( 9, 13, 14)( 11, 19, 16)( 17, 21, 22)( 25, 29, 42)( 26, 34, 48)
( 27, 39, 30)( 28, 44, 36)( 31, 32, 47)( 33, 37, 38)( 35, 43, 40)
( 41, 45, 46)( 49, 51, 50, 52)( 53, 57, 70)( 54, 62, 76)( 55, 67, 58)
( 56, 72, 64)( 59, 60, 75)( 61, 65, 66)( 63, 71, 68)( 69, 73, 74)
( 77, 81, 94)( 78, 86,100)( 79, 91, 82)( 80, 96, 88)( 83, 84, 99)
( 85, 89, 90)( 87, 95, 92)( 93, 97, 98)(101,103,102,104),
( 1, 44, 23, 31, 24, 46, 3, 34, 11, 43, 12, 38)( 2, 29, 9, 37, 6,
32, 4, 39, 17, 45, 18, 40)( 5, 47, 13, 48, 8, 27, 15, 35, 21, 36,
16, 25)( 7, 42, 22, 26, 10, 33, 19, 30, 14, 28, 20, 41)
( 53, 96, 75, 83, 76, 98, 55, 86, 63, 95, 64, 90)( 54, 81, 61, 89, 58,
84, 56, 91, 69, 97, 70, 92)( 57, 99, 65,100, 60, 79, 67, 87, 73, 88,
68, 77)( 59, 94, 74, 78, 62, 85, 71, 82, 66, 80, 72, 93)(101,102)
(103,104), ( 1, 53, 3, 55)( 2, 54, 4, 56)( 5, 57, 15, 67)
( 6, 58, 18, 70)( 7, 59, 19, 71)( 8, 60, 16, 68)( 9, 61, 17, 69)
( 10, 62, 20, 72)( 11, 63, 23, 75)( 12, 64, 24, 76)( 13, 65, 21, 73)
( 14, 66, 22, 74)( 25, 77, 27, 79)( 26, 78, 28, 80)( 29, 81, 39, 91)
( 30, 82, 42, 94)( 31, 83, 43, 95)( 32, 84, 40, 92)( 33, 85, 41, 93)
( 34, 86, 44, 96)( 35, 87, 47, 99)( 36, 88, 48,100)( 37, 89, 45, 97)
( 38, 90, 46, 98)( 49,101)( 50,102)( 51,103)( 52,104) ],
[ ( 1, 2,35,16,22,18,11,37)( 3, 4, 8, 6,23,24,34,33)( 5,32,36,31,20,10,27,
9)( 7,25,15,29,19,12,38,26)(13,40,21,39,14,28,30,17)(45,47,54,51,66,
67,76,63)(46,75,84,77,62,53,72,50)(48,82,58,64,68,59,57,49)
(52,65,60,56,78,74,81,69)(55,83,73,71,79,61,70,80)(85,86)(87,88),
( 1,28,14,37,26,22,40,13,16,29)( 2,10,35,34, 4,18,32,11, 8,24)
( 3,25,33,27,20,23,12, 6,36, 5)( 7,38,39,31,30,19,15,17, 9,21)
(41,43,42,44)(45,50,53,67,81,66,77,75,47,60)(46,79,65,69,61,62,55,74,
56,83)(48,80,70,49,52,68,71,73,64,78)(51,76,82,72,58,63,54,59,84,57)
(85,87,86,88), ( 1,45,36,80,10,54)( 2,46,20,64,25,69)( 3,47)
( 4,48,33,77,28,72)( 5,49,12,56,18,62)( 6,50,40,84,24,68)
( 7,51,26,70,35,79)( 8,52,14,58,21,65)( 9,53,16,60,38,82)
(11,55,19,63,29,73)(13,57,30,74,34,78)(15,59,31,75,37,81)(17,61)
(22,66,27,71,32,76)(23,67)(39,83)(41,85)(42,86)(43,87)(44,88) ],
[ ( 1, 5, 18)( 2, 10, 24)( 3, 15, 6)( 4, 20, 12)( 7, 8, 23)
( 9, 13, 14)( 11, 19, 16)( 17, 21, 22)( 25, 29, 42)( 26, 34, 48)
( 27, 39, 30)( 28, 44, 36)( 31, 32, 47)( 33, 37, 38)( 35, 43, 40)
( 41, 45, 46)( 49, 51, 50, 52)( 53, 57, 70)( 54, 62, 76)( 55, 67, 58)
( 56, 72, 64)( 59, 60, 75)( 61, 65, 66)( 63, 71, 68)( 69, 73, 74)
( 77, 81, 94)( 78, 86,100)( 79, 91, 82)( 80, 96, 88)( 83, 84, 99)
( 85, 89, 90)( 87, 95, 92)( 93, 97, 98)(101,103,102,104),
( 1, 44, 23, 31, 24, 46, 3, 34, 11, 43, 12, 38)( 2, 29, 9, 37, 6,
32, 4, 39, 17, 45, 18, 40)( 5, 47, 13, 48, 8, 27, 15, 35, 21, 36,
16, 25)( 7, 42, 22, 26, 10, 33, 19, 30, 14, 28, 20, 41)
( 53, 96, 75, 83, 76, 98, 55, 86, 63, 95, 64, 90)( 54, 81, 61, 89, 58,
84, 56, 91, 69, 97, 70, 92)( 57, 99, 65,100, 60, 79, 67, 87, 73, 88,
68, 77)( 59, 94, 74, 78, 62, 85, 71, 82, 66, 80, 72, 93)(101,102)
(103,104), ( 1, 53)( 2, 54)( 3, 55)( 4, 56)( 5, 57)( 6, 58)
( 7, 59)( 8, 60)( 9, 61)( 10, 62)( 11, 63)( 12, 64)( 13, 65)
( 14, 66)( 15, 67)( 16, 68)( 17, 69)( 18, 70)( 19, 71)( 20, 72)
( 21, 73)( 22, 74)( 23, 75)( 24, 76)( 25, 77)( 26, 78)( 27, 79)
( 28, 80)( 29, 81)( 30, 82)( 31, 83)( 32, 84)( 33, 85)( 34, 86)
( 35, 87)( 36, 88)( 37, 89)( 38, 90)( 39, 91)( 40, 92)( 41, 93)
( 42, 94)( 43, 95)( 44, 96)( 45, 97)( 46, 98)( 47, 99)( 48,100)
( 49,101)( 50,102)( 51,103)( 52,104) ],
[ ( 1, 2,35,16,22,18,11,37)( 3, 4, 8, 6,23,24,34,33)( 5,32,36,31,20,10,27,
9)( 7,25,15,29,19,12,38,26)(13,40,21,39,14,28,30,17)(45,61,48,69,66,
83,68,56)(46,49,73,74,62,64,70,65)(47,58,75,79,67,57,53,55)
(50,81,59,54,77,60,82,76)(51,78,80,84,63,52,71,72)(85,86)(87,88),
( 1,28,14,37,26,22,40,13,16,29)( 2,10,35,34, 4,18,32,11, 8,24)
( 3,25,33,27,20,23,12, 6,36, 5)( 7,38,39,31,30,19,15,17, 9,21)
(41,43,42,44)(45,50,53,67,81,66,77,75,47,60)(46,79,65,69,61,62,55,74,
56,83)(48,80,70,49,52,68,71,73,64,78)(51,76,82,72,58,63,54,59,84,57)
(85,87,86,88), ( 1,45, 7,51,31,75)( 2,46,38,82,26,70)( 3,47,14,58,34,78
)( 4,48,40,84,39,83)( 5,49,10,54,16,60)( 6,50)( 8,52,23,67,13,57)
( 9,53,22,66,19,63)(11,55,36,80,25,69)(12,56,35,79,27,71)
(15,59,29,73,18,62)(17,61,24,68,28,72)(20,64,32,76,37,81)(21,65)(30,74)
(33,77)(41,85,42,86)(43,87,44,88) ],
[ ( 1, 5, 18)( 2, 10, 24)( 3, 15, 6)( 4, 20, 12)( 7, 8, 23)
( 9, 13, 14)( 11, 19, 16)( 17, 21, 22)( 25, 29, 42)( 26, 34, 48)
( 27, 39, 30)( 28, 44, 36)( 31, 32, 47)( 33, 37, 38)( 35, 43, 40)
( 41, 45, 46)( 49, 51, 50, 52)( 53, 57, 70)( 54, 62, 76)( 55, 67, 58)
( 56, 72, 64)( 59, 60, 75)( 61, 65, 66)( 63, 71, 68)( 69, 73, 74)
( 77, 81, 94)( 78, 86,100)( 79, 91, 82)( 80, 96, 88)( 83, 84, 99)
( 85, 89, 90)( 87, 95, 92)( 93, 97, 98)(101,103,102,104),
( 1, 44, 23, 31, 24, 46, 3, 34, 11, 43, 12, 38)( 2, 29, 9, 37, 6,
32, 4, 39, 17, 45, 18, 40)( 5, 47, 13, 48, 8, 27, 15, 35, 21, 36,
16, 25)( 7, 42, 22, 26, 10, 33, 19, 30, 14, 28, 20, 41)
( 53, 86, 75, 95, 76, 90, 55, 96, 63, 83, 64, 98)( 54, 91, 61, 97, 58,
92, 56, 81, 69, 89, 70, 84)( 57, 87, 65, 88, 60, 77, 67, 99, 73,100,
68, 79)( 59, 82, 74, 80, 62, 93, 71, 94, 66, 78, 72, 85)(101,102)
(103,104), ( 1, 53, 3, 55)( 2, 54, 4, 56)( 5, 57, 15, 67)
( 6, 58, 18, 70)( 7, 59, 19, 71)( 8, 60, 16, 68)( 9, 61, 17, 69)
( 10, 62, 20, 72)( 11, 63, 23, 75)( 12, 64, 24, 76)( 13, 65, 21, 73)
( 14, 66, 22, 74)( 25, 77, 27, 79)( 26, 78, 28, 80)( 29, 81, 39, 91)
( 30, 82, 42, 94)( 31, 83, 43, 95)( 32, 84, 40, 92)( 33, 85, 41, 93)
( 34, 86, 44, 96)( 35, 87, 47, 99)( 36, 88, 48,100)( 37, 89, 45, 97)
( 38, 90, 46, 98)( 49,101)( 50,102)( 51,103)( 52,104) ],
[ ( 1, 5, 18)( 2, 10, 24)( 3, 15, 6)( 4, 20, 12)( 7, 8, 23)
( 9, 13, 14)( 11, 19, 16)( 17, 21, 22)( 25, 29, 42)( 26, 34, 48)
( 27, 39, 30)( 28, 44, 36)( 31, 32, 47)( 33, 37, 38)( 35, 43, 40)
( 41, 45, 46)( 49, 51, 50, 52)( 53, 57, 70)( 54, 62, 76)( 55, 67, 58)
( 56, 72, 64)( 59, 60, 75)( 61, 65, 66)( 63, 71, 68)( 69, 73, 74)
( 77, 81, 94)( 78, 86,100)( 79, 91, 82)( 80, 96, 88)( 83, 84, 99)
( 85, 89, 90)( 87, 95, 92)( 93, 97, 98)(101,103,102,104),
( 1, 44, 23, 31, 24, 46, 3, 34, 11, 43, 12, 38)( 2, 29, 9, 37, 6,
32, 4, 39, 17, 45, 18, 40)( 5, 47, 13, 48, 8, 27, 15, 35, 21, 36,
16, 25)( 7, 42, 22, 26, 10, 33, 19, 30, 14, 28, 20, 41)
( 53, 86, 75, 95, 76, 90, 55, 96, 63, 83, 64, 98)( 54, 91, 61, 97, 58,
92, 56, 81, 69, 89, 70, 84)( 57, 87, 65, 88, 60, 77, 67, 99, 73,100,
68, 79)( 59, 82, 74, 80, 62, 93, 71, 94, 66, 78, 72, 85)(101,102)
(103,104), ( 1, 53)( 2, 54)( 3, 55)( 4, 56)( 5, 57)( 6, 58)
( 7, 59)( 8, 60)( 9, 61)( 10, 62)( 11, 63)( 12, 64)( 13, 65)
( 14, 66)( 15, 67)( 16, 68)( 17, 69)( 18, 70)( 19, 71)( 20, 72)
( 21, 73)( 22, 74)( 23, 75)( 24, 76)( 25, 77)( 26, 78)( 27, 79)
( 28, 80)( 29, 81)( 30, 82)( 31, 83)( 32, 84)( 33, 85)( 34, 86)
( 35, 87)( 36, 88)( 37, 89)( 38, 90)( 39, 91)( 40, 92)( 41, 93)
( 42, 94)( 43, 95)( 44, 96)( 45, 97)( 46, 98)( 47, 99)( 48,100)
( 49,101)( 50,102)( 51,103)( 52,104) ],
[ ( 1, 4, 2, 3)( 5,23,30, 9,28, 7,22,32,11,25, 6,24,29,10,27, 8,21,31,12,26
)(13,20,37,44,36,15,17,39,41,33,14,19,38,43,35,16,18,40,42,34)
(45,48,46,47)(49,67,74,53,72,51,66,76,55,69,50,68,73,54,71,52,65,75,56,
70)(57,64,81,88,80,59,61,83,85,77,58,63,82,87,79,60,62,84,86,78),
( 1, 4, 2, 3)( 5,33,12,26, 6,34,11,25)( 7,36, 9,27, 8,35,10,28)
(13,42,24,31,14,41,23,32)(15,43,21,29,16,44,22,30)(17,40,20,37,18,39,
19,38)(45,47,46,48)(49,77,56,70,50,78,55,69)(51,80,53,71,52,79,54,72)
(57,86,68,75,58,85,67,76)(59,87,65,73,60,88,66,74)(61,84,64,81,62,83,
63,82), ( 1,45)( 2,46)( 3,47)( 4,48)( 5,49, 6,50)( 7,51, 8,52)
( 9,53,10,54)(11,55,12,56)(13,57,14,58)(15,59,16,60)(17,61,18,62)
(19,63,20,64)(21,65,22,66)(23,67,24,68)(25,69,26,70)(27,71,28,72)
(29,73,30,74)(31,75,32,76)(33,77,34,78)(35,79,36,80)(37,81,38,82)
(39,83,40,84)(41,85,42,86)(43,87,44,88) ],
[ ( 1, 3)( 2, 4)( 5, 7,26,17, 6, 8,25,18)( 9,11,42,31,10,12,41,32)
(13,40,35,43,14,39,36,44)(15,19,29,33,16,20,30,34)(21,38,27,24,22,37,
28,23)(45,48)(46,47)(49,52,70,62,50,51,69,61)(53,56,86,76,54,55,85,75)
(57,83,79,88,58,84,80,87)(59,64,73,78,60,63,74,77)(65,81,71,67,66,82,
72,68), ( 1, 3, 2, 4)( 5,17,32,15,10)( 6,18,31,16, 9)( 7,20,34,25,14)
( 8,19,33,26,13)(11,36,42,37,22)(12,35,41,38,21)(23,30,28,43,39)
(24,29,27,44,40)(45,47,46,48)(49,61,76,59,54)(50,62,75,60,53)
(51,64,78,69,58)(52,63,77,70,57)(55,80,86,81,66)(56,79,85,82,65)
(67,74,72,87,83)(68,73,71,88,84), ( 1,45)( 2,46)( 3,47)( 4,48)( 5,49)
( 6,50)( 7,51)( 8,52)( 9,53)(10,54)(11,55)(12,56)(13,57)(14,58)(15,59)
(16,60)(17,61)(18,62)(19,63)(20,64)(21,65)(22,66)(23,67)(24,68)(25,69)
(26,70)(27,71)(28,72)(29,73)(30,74)(31,75)(32,76)(33,77)(34,78)(35,79)
(36,80)(37,81)(38,82)(39,83)(40,84)(41,85)(42,86)(43,87)(44,88) ],
[ ( 1, 4, 2, 3)( 5, 44, 6, 43)( 7, 11, 8, 12)( 9, 29, 10, 30)
( 13, 20, 14, 19)( 15, 24, 16, 23)( 17, 22, 18, 21)( 25, 40, 26, 39)
( 27, 36, 28, 35)( 31, 50, 32, 49)( 33, 37, 34, 38)( 41, 52, 42, 51)
( 45, 47, 46, 48)( 53, 56, 54, 55)( 57, 96, 58, 95)( 59, 63, 60, 64)
( 61, 81, 62, 82)( 65, 72, 66, 71)( 67, 76, 68, 75)( 69, 74, 70, 73)
( 77, 92, 78, 91)( 79, 88, 80, 87)( 83,102, 84,101)( 85, 89, 86, 90)
( 93,104, 94,103)( 97, 99, 98,100),
( 1, 4)( 2, 3)( 5, 28, 12, 42, 6, 27, 11, 41)( 7, 46, 25, 35, 8,
45, 26, 36)( 9, 37, 24, 13, 10, 38, 23, 14)( 15, 52, 18, 48, 16, 51,
17, 47)( 19, 39, 31, 43, 20, 40, 32, 44)( 21, 49, 30, 34, 22, 50, 29,
33)( 53, 55)( 54, 56)( 57, 79, 64, 93, 58, 80, 63, 94)
( 59, 97, 77, 88, 60, 98, 78, 87)( 61, 90, 76, 66, 62, 89, 75, 65)
( 67,103, 70, 99, 68,104, 69,100)( 71, 92, 83, 96, 72, 91, 84, 95)
( 73,102, 82, 85, 74,101, 81, 86), ( 1, 53)( 2, 54)( 3, 55)( 4, 56)
( 5, 57)( 6, 58)( 7, 59)( 8, 60)( 9, 61)( 10, 62)( 11, 63)
( 12, 64)( 13, 65)( 14, 66)( 15, 67)( 16, 68)( 17, 69)( 18, 70)
( 19, 71)( 20, 72)( 21, 73)( 22, 74)( 23, 75)( 24, 76)( 25, 77)
( 26, 78)( 27, 79)( 28, 80)( 29, 81)( 30, 82)( 31, 83)( 32, 84)
( 33, 85)( 34, 86)( 35, 87)( 36, 88)( 37, 89)( 38, 90)( 39, 91)
( 40, 92)( 41, 93)( 42, 94)( 43, 95)( 44, 96)( 45, 97)( 46, 98)
( 47, 99)( 48,100)( 49,101)( 50,102)( 51,103)( 52,104) ],
[ ( 1, 3)( 2, 4)( 5, 7,26,17, 6, 8,25,18)( 9,11,42,31,10,12,41,32)
(13,40,35,43,14,39,36,44)(15,19,29,33,16,20,30,34)(21,38,27,24,22,37,
28,23)(45,48)(46,47)(49,52,70,62,50,51,69,61)(53,56,86,76,54,55,85,75)
(57,83,79,88,58,84,80,87)(59,64,73,78,60,63,74,77)(65,81,71,67,66,82,
72,68), ( 1, 3, 2, 4)( 5,17,32,15,10)( 6,18,31,16, 9)( 7,20,34,25,14)
( 8,19,33,26,13)(11,36,42,37,22)(12,35,41,38,21)(23,30,28,43,39)
(24,29,27,44,40)(45,47,46,48)(49,61,76,59,54)(50,62,75,60,53)
(51,64,78,69,58)(52,63,77,70,57)(55,80,86,81,66)(56,79,85,82,65)
(67,74,72,87,83)(68,73,71,88,84),
( 1,45)( 2,46)( 3,47)( 4,48)( 5,49, 6,50)( 7,51, 8,52)( 9,53,10,54)
(11,55,12,56)(13,57,14,58)(15,59,16,60)(17,61,18,62)(19,63,20,64)
(21,65,22,66)(23,67,24,68)(25,69,26,70)(27,71,28,72)(29,73,30,74)
(31,75,32,76)(33,77,34,78)(35,79,36,80)(37,81,38,82)(39,83,40,84)
(41,85,42,86)(43,87,44,88) ],
[ ( 1, 4, 2, 3)( 5, 44, 6, 43)( 7, 11, 8, 12)( 9, 29, 10, 30)
( 13, 20, 14, 19)( 15, 24, 16, 23)( 17, 22, 18, 21)( 25, 40, 26, 39)
( 27, 36, 28, 35)( 31, 50, 32, 49)( 33, 37, 34, 38)( 41, 52, 42, 51)
( 45, 47, 46, 48)( 53, 56, 54, 55)( 57, 96, 58, 95)( 59, 63, 60, 64)
( 61, 81, 62, 82)( 65, 72, 66, 71)( 67, 76, 68, 75)( 69, 74, 70, 73)
( 77, 92, 78, 91)( 79, 88, 80, 87)( 83,102, 84,101)( 85, 89, 86, 90)
( 93,104, 94,103)( 97, 99, 98,100),
( 1, 4)( 2, 3)( 5, 28, 12, 42, 6, 27, 11, 41)( 7, 46, 25, 35, 8,
45, 26, 36)( 9, 37, 24, 13, 10, 38, 23, 14)( 15, 52, 18, 48, 16, 51,
17, 47)( 19, 39, 31, 43, 20, 40, 32, 44)( 21, 49, 30, 34, 22, 50, 29,
33)( 53, 55)( 54, 56)( 57, 79, 64, 93, 58, 80, 63, 94)
( 59, 97, 77, 88, 60, 98, 78, 87)( 61, 90, 76, 66, 62, 89, 75, 65)
( 67,103, 70, 99, 68,104, 69,100)( 71, 92, 83, 96, 72, 91, 84, 95)
( 73,102, 82, 85, 74,101, 81, 86), ( 1, 53)( 2, 54)( 3, 55)( 4, 56)
( 5, 57, 6, 58)( 7, 59, 8, 60)( 9, 61, 10, 62)( 11, 63, 12, 64)
( 13, 65, 14, 66)( 15, 67, 16, 68)( 17, 69, 18, 70)( 19, 71, 20, 72)
( 21, 73, 22, 74)( 23, 75, 24, 76)( 25, 77, 26, 78)( 27, 79, 28, 80)
( 29, 81, 30, 82)( 31, 83, 32, 84)( 33, 85, 34, 86)( 35, 87, 36, 88)
( 37, 89, 38, 90)( 39, 91, 40, 92)( 41, 93, 42, 94)( 43, 95, 44, 96)
( 45, 97, 46, 98)( 47, 99, 48,100)( 49,101, 50,102)( 51,103, 52,104) ],
[ ( 1, 4, 2, 3)( 5,23,30, 9,28, 7,22,32,11,25, 6,24,29,10,27, 8,21,31,12,26
)(13,20,37,44,36,15,17,39,41,33,14,19,38,43,35,16,18,40,42,34)
(45,48,46,47)(49,67,74,53,72,51,66,76,55,69,50,68,73,54,71,52,65,75,56,
70)(57,64,81,88,80,59,61,83,85,77,58,63,82,87,79,60,62,84,86,78),
( 1, 4, 2, 3)( 5,33,12,26, 6,34,11,25)( 7,36, 9,27, 8,35,10,28)
(13,42,24,31,14,41,23,32)(15,43,21,29,16,44,22,30)(17,40,20,37,18,39,
19,38)(45,47,46,48)(49,77,56,70,50,78,55,69)(51,80,53,71,52,79,54,72)
(57,86,68,75,58,85,67,76)(59,87,65,73,60,88,66,74)(61,84,64,81,62,83,
63,82), ( 1,45, 2,46)( 3,47, 4,48)( 5,49, 6,50)( 7,51, 8,52)
( 9,53,10,54)(11,55,12,56)(13,57,14,58)(15,59,16,60)(17,61,18,62)
(19,63,20,64)(21,65,22,66)(23,67,24,68)(25,69,26,70)(27,71,28,72)
(29,73,30,74)(31,75,32,76)(33,77,34,78)(35,79,36,80)(37,81,38,82)
(39,83,40,84)(41,85,42,86)(43,87,44,88) ],
[ ( 1, 2,35,16,22,18,11,37)( 3, 4, 8, 6,23,24,34,33)( 5,32,36,31,20,10,27,
9)( 7,25,15,29,19,12,38,26)(13,40,21,39,14,28,30,17)(45,47,54,51,66,
67,76,63)(46,75,84,77,62,53,72,50)(48,82,58,64,68,59,57,49)
(52,65,60,56,78,74,81,69)(55,83,73,71,79,61,70,80)(85,86)(87,88),
( 1,28,14,37,26,22,40,13,16,29)( 2,10,35,34, 4,18,32,11, 8,24)
( 3,25,33,27,20,23,12, 6,36, 5)( 7,38,39,31,30,19,15,17, 9,21)
(41,43,42,44)(45,77,53,47,81)(46,55,65,56,61)(48,71,70,64,52)
(49,78,68,80,73)(50,75,67,60,66)(51,54,82,84,58)(57,63,76,59,72)
(62,79,74,69,83)(85,87,86,88), ( 1,45,36,80,10,54)( 2,46,20,64,25,69)
( 3,47)( 4,48,33,77,28,72)( 5,49,12,56,18,62)( 6,50,40,84,24,68)
( 7,51,26,70,35,79)( 8,52,14,58,21,65)( 9,53,16,60,38,82)
(11,55,19,63,29,73)(13,57,30,74,34,78)(15,59,31,75,37,81)(17,61)
(22,66,27,71,32,76)(23,67)(39,83)(41,85)(42,86)(43,87)(44,88) ],
[ ( 1, 5, 18)( 2, 10, 24)( 3, 15, 6)( 4, 20, 12)( 7, 8, 23)
( 9, 13, 14)( 11, 19, 16)( 17, 21, 22)( 25, 29, 42)( 26, 34, 48)
( 27, 39, 30)( 28, 44, 36)( 31, 32, 47)( 33, 37, 38)( 35, 43, 40)
( 41, 45, 46)( 49, 51, 50, 52)( 53, 67, 70, 55, 57, 58)
( 54, 72, 76, 56, 62, 64)( 59, 68, 75, 71, 60, 63)( 61, 73, 66, 69, 65,
74)( 77, 91, 94, 79, 81, 82)( 78, 96,100, 80, 86, 88)( 83, 92, 99, 95,
84, 87)( 85, 97, 90, 93, 89, 98)(101,103,102,104),
( 1, 44, 23, 31, 24, 46, 3, 34, 11, 43, 12, 38)( 2, 29, 9, 37, 6,
32, 4, 39, 17, 45, 18, 40)( 5, 47, 13, 48, 8, 27, 15, 35, 21, 36,
16, 25)( 7, 42, 22, 26, 10, 33, 19, 30, 14, 28, 20, 41)
( 53, 96, 75, 83, 76, 98, 55, 86, 63, 95, 64, 90)( 54, 81, 61, 89, 58,
84, 56, 91, 69, 97, 70, 92)( 57, 99, 65,100, 60, 79, 67, 87, 73, 88,
68, 77)( 59, 94, 74, 78, 62, 85, 71, 82, 66, 80, 72, 93)(101,102)
(103,104), ( 1, 53, 3, 55)( 2, 54, 4, 56)( 5, 57, 15, 67)
( 6, 58, 18, 70)( 7, 59, 19, 71)( 8, 60, 16, 68)( 9, 61, 17, 69)
( 10, 62, 20, 72)( 11, 63, 23, 75)( 12, 64, 24, 76)( 13, 65, 21, 73)
( 14, 66, 22, 74)( 25, 77, 27, 79)( 26, 78, 28, 80)( 29, 81, 39, 91)
( 30, 82, 42, 94)( 31, 83, 43, 95)( 32, 84, 40, 92)( 33, 85, 41, 93)
( 34, 86, 44, 96)( 35, 87, 47, 99)( 36, 88, 48,100)( 37, 89, 45, 97)
( 38, 90, 46, 98)( 49,101)( 50,102)( 51,103)( 52,104) ],
[ ( 1, 5, 18)( 2, 10, 24)( 3, 15, 6)( 4, 20, 12)( 7, 8, 23)
( 9, 13, 14)( 11, 19, 16)( 17, 21, 22)( 25, 29, 42)( 26, 34, 48)
( 27, 39, 30)( 28, 44, 36)( 31, 32, 47)( 33, 37, 38)( 35, 43, 40)
( 41, 45, 46)( 49, 51, 50, 52)( 53, 67, 70, 55, 57, 58)
( 54, 72, 76, 56, 62, 64)( 59, 68, 75, 71, 60, 63)( 61, 73, 66, 69, 65,
74)( 77, 91, 94, 79, 81, 82)( 78, 96,100, 80, 86, 88)( 83, 92, 99, 95,
84, 87)( 85, 97, 90, 93, 89, 98)(101,103,102,104),
( 1, 44, 23, 31, 24, 46, 3, 34, 11, 43, 12, 38)( 2, 29, 9, 37, 6,
32, 4, 39, 17, 45, 18, 40)( 5, 47, 13, 48, 8, 27, 15, 35, 21, 36,
16, 25)( 7, 42, 22, 26, 10, 33, 19, 30, 14, 28, 20, 41)
( 53, 96, 75, 83, 76, 98, 55, 86, 63, 95, 64, 90)( 54, 81, 61, 89, 58,
84, 56, 91, 69, 97, 70, 92)( 57, 99, 65,100, 60, 79, 67, 87, 73, 88,
68, 77)( 59, 94, 74, 78, 62, 85, 71, 82, 66, 80, 72, 93)(101,102)
(103,104), ( 1, 53)( 2, 54)( 3, 55)( 4, 56)( 5, 57)( 6, 58)
( 7, 59)( 8, 60)( 9, 61)( 10, 62)( 11, 63)( 12, 64)( 13, 65)
( 14, 66)( 15, 67)( 16, 68)( 17, 69)( 18, 70)( 19, 71)( 20, 72)
( 21, 73)( 22, 74)( 23, 75)( 24, 76)( 25, 77)( 26, 78)( 27, 79)
( 28, 80)( 29, 81)( 30, 82)( 31, 83)( 32, 84)( 33, 85)( 34, 86)
( 35, 87)( 36, 88)( 37, 89)( 38, 90)( 39, 91)( 40, 92)( 41, 93)
( 42, 94)( 43, 95)( 44, 96)( 45, 97)( 46, 98)( 47, 99)( 48,100)
( 49,101)( 50,102)( 51,103)( 52,104) ],
[ ( 1, 2,35,16,22,18,11,37)( 3, 4, 8, 6,23,24,34,33)( 5,32,36,31,20,10,27,
9)( 7,25,15,29,19,12,38,26)(13,40,21,39,14,28,30,17)(45,47,54,51,66,
67,76,63)(46,75,84,77,62,53,72,50)(48,82,58,64,68,59,57,49)
(52,65,60,56,78,74,81,69)(55,83,73,71,79,61,70,80)(85,86)(87,88),
( 1,28,14,37,26,22,40,13,16,29)( 2,10,35,34, 4,18,32,11, 8,24)
( 3,25,33,27,20,23,12, 6,36, 5)( 7,38,39,31,30,19,15,17, 9,21)
(41,43,42,44)(45,77,53,47,81)(46,55,65,56,61)(48,71,70,64,52)
(49,78,68,80,73)(50,75,67,60,66)(51,54,82,84,58)(57,63,76,59,72)
(62,79,74,69,83)(85,87,86,88), ( 1,45,36,80,10,54)( 2,46,20,64,25,69)
( 3,47)( 4,48,33,77,28,72)( 5,49,12,56,18,62)( 6,50,40,84,24,68)
( 7,51,26,70,35,79)( 8,52,14,58,21,65)( 9,53,16,60,38,82)
(11,55,19,63,29,73)(13,57,30,74,34,78)(15,59,31,75,37,81)(17,61)
(22,66,27,71,32,76)(23,67)(39,83)(41,85,42,86)(43,87,44,88) ],
[ ( 1, 5, 18)( 2, 10, 24)( 3, 15, 6)( 4, 20, 12)( 7, 8, 23)
( 9, 13, 14)( 11, 19, 16)( 17, 21, 22)( 25, 29, 42)( 26, 34, 48)
( 27, 39, 30)( 28, 44, 36)( 31, 32, 47)( 33, 37, 38)( 35, 43, 40)
( 41, 45, 46)( 49, 51, 50, 52)( 53, 67, 70, 55, 57, 58)
( 54, 72, 76, 56, 62, 64)( 59, 68, 75, 71, 60, 63)( 61, 73, 66, 69, 65,
74)( 77, 91, 94, 79, 81, 82)( 78, 96,100, 80, 86, 88)( 83, 92, 99, 95,
84, 87)( 85, 97, 90, 93, 89, 98)(101,103,102,104),
( 1, 44, 23, 31, 24, 46, 3, 34, 11, 43, 12, 38)( 2, 29, 9, 37, 6,
32, 4, 39, 17, 45, 18, 40)( 5, 47, 13, 48, 8, 27, 15, 35, 21, 36,
16, 25)( 7, 42, 22, 26, 10, 33, 19, 30, 14, 28, 20, 41)
( 53, 86, 75, 95, 76, 90, 55, 96, 63, 83, 64, 98)( 54, 91, 61, 97, 58,
92, 56, 81, 69, 89, 70, 84)( 57, 87, 65, 88, 60, 77, 67, 99, 73,100,
68, 79)( 59, 82, 74, 80, 62, 93, 71, 94, 66, 78, 72, 85)(101,102)
(103,104), ( 1, 53, 3, 55)( 2, 54, 4, 56)( 5, 57, 15, 67)
( 6, 58, 18, 70)( 7, 59, 19, 71)( 8, 60, 16, 68)( 9, 61, 17, 69)
( 10, 62, 20, 72)( 11, 63, 23, 75)( 12, 64, 24, 76)( 13, 65, 21, 73)
( 14, 66, 22, 74)( 25, 77, 27, 79)( 26, 78, 28, 80)( 29, 81, 39, 91)
( 30, 82, 42, 94)( 31, 83, 43, 95)( 32, 84, 40, 92)( 33, 85, 41, 93)
( 34, 86, 44, 96)( 35, 87, 47, 99)( 36, 88, 48,100)( 37, 89, 45, 97)
( 38, 90, 46, 98)( 49,101)( 50,102)( 51,103)( 52,104) ],
[ ( 1, 2,35,16,22,18,11,37)( 3, 4, 8, 6,23,24,34,33)( 5,32,36,31,20,10,27,
9)( 7,25,15,29,19,12,38,26)(13,40,21,39,14,28,30,17)(45,61,48,69,66,
83,68,56)(46,49,73,74,62,64,70,65)(47,58,75,79,67,57,53,55)
(50,81,59,54,77,60,82,76)(51,78,80,84,63,52,71,72)(85,86)(87,88),
( 1,28,14,37,26,22,40,13,16,29)( 2,10,35,34, 4,18,32,11, 8,24)
( 3,25,33,27,20,23,12, 6,36, 5)( 7,38,39,31,30,19,15,17, 9,21)
(41,43,42,44)(45,77,53,47,81)(46,55,65,56,61)(48,71,70,64,52)
(49,78,68,80,73)(50,75,67,60,66)(51,54,82,84,58)(57,63,76,59,72)
(62,79,74,69,83)(85,87,86,88), ( 1,45,19,63,31,75,22,66, 7,51, 9,53)
( 2,46,15,59,26,70,18,62,38,82,29,73)( 3,47,13,57,34,78,23,67,14,58, 8,
52)( 4,48,28,72,39,83,24,68,40,84,17,61)( 5,49,32,76,16,60,20,64,10,
54,37,81)( 6,50,33,77)(11,55,27,71,25,69,35,79,36,80,12,56)
(21,65,30,74)(41,85)(42,86)(43,87)(44,88) ],
[ ( 1, 2,35,16,22,18,11,37)( 3, 4, 8, 6,23,24,34,33)( 5,32,36,31,20,10,27,
9)( 7,25,15,29,19,12,38,26)(13,40,21,39,14,28,30,17)(45,61,48,69,66,
83,68,56)(46,49,73,74,62,64,70,65)(47,58,75,79,67,57,53,55)
(50,81,59,54,77,60,82,76)(51,78,80,84,63,52,71,72)(85,86)(87,88),
( 1,28,14,37,26,22,40,13,16,29)( 2,10,35,34, 4,18,32,11, 8,24)
( 3,25,33,27,20,23,12, 6,36, 5)( 7,38,39,31,30,19,15,17, 9,21)
(41,43,42,44)(45,77,53,47,81)(46,55,65,56,61)(48,71,70,64,52)
(49,78,68,80,73)(50,75,67,60,66)(51,54,82,84,58)(57,63,76,59,72)
(62,79,74,69,83)(85,87,86,88), ( 1,45,19,63,31,75,22,66, 7,51, 9,53)
( 2,46,15,59,26,70,18,62,38,82,29,73)( 3,47,13,57,34,78,23,67,14,58, 8,
52)( 4,48,28,72,39,83,24,68,40,84,17,61)( 5,49,32,76,16,60,20,64,10,
54,37,81)( 6,50,33,77)(11,55,27,71,25,69,35,79,36,80,12,56)
(21,65,30,74)(41,85,42,86)(43,87,44,88) ],
[ ( 1, 5, 18)( 2, 10, 24)( 3, 15, 6)( 4, 20, 12)( 7, 8, 23)
( 9, 13, 14)( 11, 19, 16)( 17, 21, 22)( 25, 29, 42)( 26, 34, 48)
( 27, 39, 30)( 28, 44, 36)( 31, 32, 47)( 33, 37, 38)( 35, 43, 40)
( 41, 45, 46)( 49, 51, 50, 52)( 53, 67, 70, 55, 57, 58)
( 54, 72, 76, 56, 62, 64)( 59, 68, 75, 71, 60, 63)( 61, 73, 66, 69, 65,
74)( 77, 91, 94, 79, 81, 82)( 78, 96,100, 80, 86, 88)( 83, 92, 99, 95,
84, 87)( 85, 97, 90, 93, 89, 98)(101,103,102,104),
( 1, 44, 23, 31, 24, 46, 3, 34, 11, 43, 12, 38)( 2, 29, 9, 37, 6,
32, 4, 39, 17, 45, 18, 40)( 5, 47, 13, 48, 8, 27, 15, 35, 21, 36,
16, 25)( 7, 42, 22, 26, 10, 33, 19, 30, 14, 28, 20, 41)
( 53, 86, 75, 95, 76, 90, 55, 96, 63, 83, 64, 98)( 54, 91, 61, 97, 58,
92, 56, 81, 69, 89, 70, 84)( 57, 87, 65, 88, 60, 77, 67, 99, 73,100,
68, 79)( 59, 82, 74, 80, 62, 93, 71, 94, 66, 78, 72, 85)(101,102)
(103,104), ( 1, 53)( 2, 54)( 3, 55)( 4, 56)( 5, 57)( 6, 58)
( 7, 59)( 8, 60)( 9, 61)( 10, 62)( 11, 63)( 12, 64)( 13, 65)
( 14, 66)( 15, 67)( 16, 68)( 17, 69)( 18, 70)( 19, 71)( 20, 72)
( 21, 73)( 22, 74)( 23, 75)( 24, 76)( 25, 77)( 26, 78)( 27, 79)
( 28, 80)( 29, 81)( 30, 82)( 31, 83)( 32, 84)( 33, 85)( 34, 86)
( 35, 87)( 36, 88)( 37, 89)( 38, 90)( 39, 91)( 40, 92)( 41, 93)
( 42, 94)( 43, 95)( 44, 96)( 45, 97)( 46, 98)( 47, 99)( 48,100)
( 49,101)( 50,102)( 51,103)( 52,104) ],
[ ( 1, 2,35,16,22,18,11,37)( 3, 4, 8, 6,23,24,34,33)( 5,32,36,31,20,10,27,
9)( 7,25,15,29,19,12,38,26)(13,40,21,39,14,28,30,17)(45,47,54,51,66,
67,76,63)(46,75,84,77,62,53,72,50)(48,82,58,64,68,59,57,49)
(52,65,60,56,78,74,81,69)(55,83,73,71,79,61,70,80)(85,86)(87,88),
( 1,28,14,37,26,22,40,13,16,29)( 2,10,35,34, 4,18,32,11, 8,24)
( 3,25,33,27,20,23,12, 6,36, 5)( 7,38,39,31,30,19,15,17, 9,21)
(41,43,42,44)(45,50,53,67,81,66,77,75,47,60)(46,79,65,69,61,62,55,74,
56,83)(48,80,70,49,52,68,71,73,64,78)(51,76,82,72,58,63,54,59,84,57)
(85,88,86,87), ( 1,45,36,80,10,54)( 2,46,20,64,25,69)( 3,47)
( 4,48,33,77,28,72)( 5,49,12,56,18,62)( 6,50,40,84,24,68)
( 7,51,26,70,35,79)( 8,52,14,58,21,65)( 9,53,16,60,38,82)
(11,55,19,63,29,73)(13,57,30,74,34,78)(15,59,31,75,37,81)(17,61)
(22,66,27,71,32,76)(23,67)(39,83)(41,85,42,86)(43,87,44,88) ],
[ ( 1, 5, 18)( 2, 10, 24)( 3, 15, 6)( 4, 20, 12)( 7, 8, 23)
( 9, 13, 14)( 11, 19, 16)( 17, 21, 22)( 25, 29, 42)( 26, 34, 48)
( 27, 39, 30)( 28, 44, 36)( 31, 32, 47)( 33, 37, 38)( 35, 43, 40)
( 41, 45, 46)( 49, 51, 50, 52)( 53, 57, 70)( 54, 62, 76)( 55, 67, 58)
( 56, 72, 64)( 59, 60, 75)( 61, 65, 66)( 63, 71, 68)( 69, 73, 74)
( 77, 81, 94)( 78, 86,100)( 79, 91, 82)( 80, 96, 88)( 83, 84, 99)
( 85, 89, 90)( 87, 95, 92)( 93, 97, 98)(101,104,102,103),
( 1, 44, 23, 31, 24, 46, 3, 34, 11, 43, 12, 38)( 2, 29, 9, 37, 6,
32, 4, 39, 17, 45, 18, 40)( 5, 47, 13, 48, 8, 27, 15, 35, 21, 36,
16, 25)( 7, 42, 22, 26, 10, 33, 19, 30, 14, 28, 20, 41)
( 53, 96, 75, 83, 76, 98, 55, 86, 63, 95, 64, 90)( 54, 81, 61, 89, 58,
84, 56, 91, 69, 97, 70, 92)( 57, 99, 65,100, 60, 79, 67, 87, 73, 88,
68, 77)( 59, 94, 74, 78, 62, 85, 71, 82, 66, 80, 72, 93)(101,102)
(103,104), ( 1, 53)( 2, 54)( 3, 55)( 4, 56)( 5, 57)( 6, 58)
( 7, 59)( 8, 60)( 9, 61)( 10, 62)( 11, 63)( 12, 64)( 13, 65)
( 14, 66)( 15, 67)( 16, 68)( 17, 69)( 18, 70)( 19, 71)( 20, 72)
( 21, 73)( 22, 74)( 23, 75)( 24, 76)( 25, 77)( 26, 78)( 27, 79)
( 28, 80)( 29, 81)( 30, 82)( 31, 83)( 32, 84)( 33, 85)( 34, 86)
( 35, 87)( 36, 88)( 37, 89)( 38, 90)( 39, 91)( 40, 92)( 41, 93)
( 42, 94)( 43, 95)( 44, 96)( 45, 97)( 46, 98)( 47, 99)( 48,100)
( 49,101)( 50,102)( 51,103)( 52,104) ],
[ ( 1, 5, 18)( 2, 10, 24)( 3, 15, 6)( 4, 20, 12)( 7, 8, 23)
( 9, 13, 14)( 11, 19, 16)( 17, 21, 22)( 25, 29, 42)( 26, 34, 48)
( 27, 39, 30)( 28, 44, 36)( 31, 32, 47)( 33, 37, 38)( 35, 43, 40)
( 41, 45, 46)( 49, 51, 50, 52)( 53, 67, 70, 55, 57, 58)
( 54, 72, 76, 56, 62, 64)( 59, 68, 75, 71, 60, 63)( 61, 73, 66, 69, 65,
74)( 77, 91, 94, 79, 81, 82)( 78, 96,100, 80, 86, 88)( 83, 92, 99, 95,
84, 87)( 85, 97, 90, 93, 89, 98)(101,104,102,103),
( 1, 44, 23, 31, 24, 46, 3, 34, 11, 43, 12, 38)( 2, 29, 9, 37, 6,
32, 4, 39, 17, 45, 18, 40)( 5, 47, 13, 48, 8, 27, 15, 35, 21, 36,
16, 25)( 7, 42, 22, 26, 10, 33, 19, 30, 14, 28, 20, 41)
( 53, 86, 75, 95, 76, 90, 55, 96, 63, 83, 64, 98)( 54, 91, 61, 97, 58,
92, 56, 81, 69, 89, 70, 84)( 57, 87, 65, 88, 60, 77, 67, 99, 73,100,
68, 79)( 59, 82, 74, 80, 62, 93, 71, 94, 66, 78, 72, 85)(101,102)
(103,104), ( 1, 53)( 2, 54)( 3, 55)( 4, 56)( 5, 57)( 6, 58)
( 7, 59)( 8, 60)( 9, 61)( 10, 62)( 11, 63)( 12, 64)( 13, 65)
( 14, 66)( 15, 67)( 16, 68)( 17, 69)( 18, 70)( 19, 71)( 20, 72)
( 21, 73)( 22, 74)( 23, 75)( 24, 76)( 25, 77)( 26, 78)( 27, 79)
( 28, 80)( 29, 81)( 30, 82)( 31, 83)( 32, 84)( 33, 85)( 34, 86)
( 35, 87)( 36, 88)( 37, 89)( 38, 90)( 39, 91)( 40, 92)( 41, 93)
( 42, 94)( 43, 95)( 44, 96)( 45, 97)( 46, 98)( 47, 99)( 48,100)
( 49,101)( 50,102)( 51,103)( 52,104) ],
[ ( 1, 2,35,16,22,18,11,37)( 3, 4, 8, 6,23,24,34,33)( 5,32,36,31,20,10,27,
9)( 7,25,15,29,19,12,38,26)(13,40,21,39,14,28,30,17)(45,61,48,69,66,
83,68,56)(46,49,73,74,62,64,70,65)(47,58,75,79,67,57,53,55)
(50,81,59,54,77,60,82,76)(51,78,80,84,63,52,71,72)(85,86)(87,88),
( 1,28,14,37,26,22,40,13,16,29)( 2,10,35,34, 4,18,32,11, 8,24)
( 3,25,33,27,20,23,12, 6,36, 5)( 7,38,39,31,30,19,15,17, 9,21)
(41,43,42,44)(45,77,53,47,81)(46,55,65,56,61)(48,71,70,64,52)
(49,78,68,80,73)(50,75,67,60,66)(51,54,82,84,58)(57,63,76,59,72)
(62,79,74,69,83)(85,88,86,87), ( 1,45, 7,51,31,75)( 2,46,38,82,26,70)
( 3,47,14,58,34,78)( 4,48,40,84,39,83)( 5,49,10,54,16,60)( 6,50)
( 8,52,23,67,13,57)( 9,53,22,66,19,63)(11,55,36,80,25,69)
(12,56,35,79,27,71)(15,59,29,73,18,62)(17,61,24,68,28,72)
(20,64,32,76,37,81)(21,65)(30,74)(33,77)(41,85,42,86)(43,87,44,88) ],
[ ( 1, 5, 18)( 2, 10, 24)( 3, 15, 6)( 4, 20, 12)( 7, 8, 23)
( 9, 13, 14)( 11, 19, 16)( 17, 21, 22)( 25, 29, 42)( 26, 34, 48)
( 27, 39, 30)( 28, 44, 36)( 31, 32, 47)( 33, 37, 38)( 35, 43, 40)
( 41, 45, 46)( 49, 51, 50, 52)( 53, 57, 70)( 54, 62, 76)( 55, 67, 58)
( 56, 72, 64)( 59, 60, 75)( 61, 65, 66)( 63, 71, 68)( 69, 73, 74)
( 77, 81, 94)( 78, 86,100)( 79, 91, 82)( 80, 96, 88)( 83, 84, 99)
( 85, 89, 90)( 87, 95, 92)( 93, 97, 98)(101,104,102,103),
( 1, 44, 23, 31, 24, 46, 3, 34, 11, 43, 12, 38)( 2, 29, 9, 37, 6,
32, 4, 39, 17, 45, 18, 40)( 5, 47, 13, 48, 8, 27, 15, 35, 21, 36,
16, 25)( 7, 42, 22, 26, 10, 33, 19, 30, 14, 28, 20, 41)
( 53, 96, 75, 83, 76, 98, 55, 86, 63, 95, 64, 90)( 54, 81, 61, 89, 58,
84, 56, 91, 69, 97, 70, 92)( 57, 99, 65,100, 60, 79, 67, 87, 73, 88,
68, 77)( 59, 94, 74, 78, 62, 85, 71, 82, 66, 80, 72, 93)(101,102)
(103,104), ( 1, 53, 3, 55)( 2, 54, 4, 56)( 5, 57, 15, 67)
( 6, 58, 18, 70)( 7, 59, 19, 71)( 8, 60, 16, 68)( 9, 61, 17, 69)
( 10, 62, 20, 72)( 11, 63, 23, 75)( 12, 64, 24, 76)( 13, 65, 21, 73)
( 14, 66, 22, 74)( 25, 77, 27, 79)( 26, 78, 28, 80)( 29, 81, 39, 91)
( 30, 82, 42, 94)( 31, 83, 43, 95)( 32, 84, 40, 92)( 33, 85, 41, 93)
( 34, 86, 44, 96)( 35, 87, 47, 99)( 36, 88, 48,100)( 37, 89, 45, 97)
( 38, 90, 46, 98)( 49,101)( 50,102)( 51,103)( 52,104) ],
[ ( 1, 2,35,16,22,18,11,37)( 3, 4, 8, 6,23,24,34,33)( 5,32,36,31,20,10,27,
9)( 7,25,15,29,19,12,38,26)(13,40,21,39,14,28,30,17)(45,47,54,51,66,
67,76,63)(46,75,84,77,62,53,72,50)(48,82,58,64,68,59,57,49)
(52,65,60,56,78,74,81,69)(55,83,73,71,79,61,70,80)(85,86)(87,88),
( 1,28,14,37,26,22,40,13,16,29)( 2,10,35,34, 4,18,32,11, 8,24)
( 3,25,33,27,20,23,12, 6,36, 5)( 7,38,39,31,30,19,15,17, 9,21)
(41,43,42,44)(45,50,53,67,81,66,77,75,47,60)(46,79,65,69,61,62,55,74,
56,83)(48,80,70,49,52,68,71,73,64,78)(51,76,82,72,58,63,54,59,84,57)
(85,88,86,87), ( 1,45,27,71,10,54,22,66,36,80,32,76)( 2,46, 5,49,25,69,
18,62,20,64,12,56)( 3,47,23,67)( 4,48, 6,50,28,72,24,68,33,77,40,84)
( 7,51,29,73,35,79,19,63,26,70,11,55)( 8,52,13,57,21,65,34,78,14,58,30,
74)( 9,53,37,81,38,82,31,75,16,60,15,59)(17,61,39,83)(41,85,42,86)
(43,87,44,88) ],
[ ( 1, 4, 2, 3)( 5,23,30, 9,28, 7,22,32,11,25, 6,24,29,10,27, 8,21,31,12,26
)(13,20,37,44,36,15,17,39,41,33,14,19,38,43,35,16,18,40,42,34)
(45,47,46,48)(49,67,74,53,72,51,66,76,55,69,50,68,73,54,71,52,65,75,56,
70)(57,64,81,88,80,59,61,83,85,77,58,63,82,87,79,60,62,84,86,78),
( 1, 4, 2, 3)( 5,33,12,26, 6,34,11,25)( 7,36, 9,27, 8,35,10,28)
(13,42,24,31,14,41,23,32)(15,43,21,29,16,44,22,30)(17,40,20,37,18,39,
19,38)(45,48,46,47)(49,77,56,70,50,78,55,69)(51,80,53,71,52,79,54,72)
(57,86,68,75,58,85,67,76)(59,87,65,73,60,88,66,74)(61,84,64,81,62,83,
63,82), ( 1,45)( 2,46)( 3,47)( 4,48)( 5,49)( 6,50)( 7,51)( 8,52)
( 9,53)(10,54)(11,55)(12,56)(13,57)(14,58)(15,59)(16,60)(17,61)(18,62)
(19,63)(20,64)(21,65)(22,66)(23,67)(24,68)(25,69)(26,70)(27,71)(28,72)
(29,73)(30,74)(31,75)(32,76)(33,77)(34,78)(35,79)(36,80)(37,81)(38,82)
(39,83)(40,84)(41,85)(42,86)(43,87)(44,88) ],
[ ( 1, 4, 2, 3)( 5,23,30, 9,28, 7,22,32,11,25, 6,24,29,10,27, 8,21,31,12,26
)(13,20,37,44,36,15,17,39,41,33,14,19,38,43,35,16,18,40,42,34)
(45,47,46,48)(49,68,74,54,72,52,66,75,55,70,50,67,73,53,71,51,65,76,56,
69)(57,63,81,87,80,60,61,84,85,78,58,64,82,88,79,59,62,83,86,77),
( 1, 4, 2, 3)( 5,33,12,26, 6,34,11,25)( 7,36, 9,27, 8,35,10,28)
(13,42,24,31,14,41,23,32)(15,43,21,29,16,44,22,30)(17,40,20,37,18,39,
19,38)(45,48,46,47)(49,78,56,69,50,77,55,70)(51,79,53,72,52,80,54,71)
(57,85,68,76,58,86,67,75)(59,88,65,74,60,87,66,73)(61,83,64,82,62,84,
63,81), ( 1,45)( 2,46)( 3,47)( 4,48)( 5,49, 6,50)( 7,51, 8,52)
( 9,53,10,54)(11,55,12,56)(13,57,14,58)(15,59,16,60)(17,61,18,62)
(19,63,20,64)(21,65,22,66)(23,67,24,68)(25,69,26,70)(27,71,28,72)
(29,73,30,74)(31,75,32,76)(33,77,34,78)(35,79,36,80)(37,81,38,82)
(39,83,40,84)(41,85,42,86)(43,87,44,88) ],
[ ( 5, 40, 13, 30, 34, 51, 6, 39, 14, 29, 33, 52)( 7, 37, 15, 32, 36,
50, 8, 38, 16, 31, 35, 49)( 9, 47, 23, 18, 27, 41, 10, 48, 24, 17,
28, 42)( 11, 46, 22, 20, 26, 43, 12, 45, 21, 19, 25, 44)( 53, 54)
( 55, 56)( 57, 91, 65, 81, 86,104, 58, 92, 66, 82, 85,103)
( 59, 90, 67, 83, 88,101, 60, 89, 68, 84, 87,102)( 61,100, 75, 69, 79,
94, 62, 99, 76, 70, 80, 93)( 63, 97, 74, 71, 78, 96, 64, 98, 73, 72,
77, 95), ( 1, 3, 2, 4)( 5, 31, 36, 44, 28, 51, 6, 32, 35, 43,
27, 52)( 7, 30, 33, 41, 25, 50, 8, 29, 34, 42, 26, 49)
( 9, 47, 16, 40, 22, 19, 10, 48, 15, 39, 21, 20)( 11, 46, 13, 37, 24,
18, 12, 45, 14, 38, 23, 17)( 53, 55, 54, 56)( 57, 83, 88, 96, 80,103,
58, 84, 87, 95, 79,104)( 59, 82, 85, 93, 77,102, 60, 81, 86, 94, 78,
101)( 61, 99, 68, 92, 74, 71, 62,100, 67, 91, 73, 72)( 63, 98, 65, 89,
76, 70, 64, 97, 66, 90, 75, 69), ( 1, 53)( 2, 54)( 3, 55)( 4, 56)
( 5, 57)( 6, 58)( 7, 59)( 8, 60)( 9, 61)( 10, 62)( 11, 63)
( 12, 64)( 13, 65)( 14, 66)( 15, 67)( 16, 68)( 17, 69)( 18, 70)
( 19, 71)( 20, 72)( 21, 73)( 22, 74)( 23, 75)( 24, 76)( 25, 77)
( 26, 78)( 27, 79)( 28, 80)( 29, 81)( 30, 82)( 31, 83)( 32, 84)
( 33, 85)( 34, 86)( 35, 87)( 36, 88)( 37, 89)( 38, 90)( 39, 91)
( 40, 92)( 41, 93)( 42, 94)( 43, 95)( 44, 96)( 45, 97)( 46, 98)
( 47, 99)( 48,100)( 49,101)( 50,102)( 51,103)( 52,104) ],
[ ( 5, 40, 13, 30, 34, 51, 6, 39, 14, 29, 33, 52)( 7, 37, 15, 32, 36,
50, 8, 38, 16, 31, 35, 49)( 9, 47, 23, 18, 27, 41, 10, 48, 24, 17,
28, 42)( 11, 46, 22, 20, 26, 43, 12, 45, 21, 19, 25, 44)( 53, 54)
( 55, 56)( 57, 91, 65, 81, 86,104, 58, 92, 66, 82, 85,103)
( 59, 90, 67, 83, 88,101, 60, 89, 68, 84, 87,102)( 61,100, 75, 69, 79,
94, 62, 99, 76, 70, 80, 93)( 63, 97, 74, 71, 78, 96, 64, 98, 73, 72,
77, 95), ( 1, 3, 2, 4)( 5, 31, 36, 44, 28, 51, 6, 32, 35, 43,
27, 52)( 7, 30, 33, 41, 25, 50, 8, 29, 34, 42, 26, 49)
( 9, 47, 16, 40, 22, 19, 10, 48, 15, 39, 21, 20)( 11, 46, 13, 37, 24,
18, 12, 45, 14, 38, 23, 17)( 53, 55, 54, 56)( 57, 84, 88, 95, 80,104,
58, 83, 87, 96, 79,103)( 59, 81, 85, 94, 77,101, 60, 82, 86, 93, 78,
102)( 61,100, 68, 91, 74, 72, 62, 99, 67, 92, 73, 71)( 63, 97, 65, 90,
76, 69, 64, 98, 66, 89, 75, 70), ( 1, 53)( 2, 54)( 3, 55)( 4, 56)
( 5, 57)( 6, 58)( 7, 59)( 8, 60)( 9, 61)( 10, 62)( 11, 63)
( 12, 64)( 13, 65)( 14, 66)( 15, 67)( 16, 68)( 17, 69)( 18, 70)
( 19, 71)( 20, 72)( 21, 73)( 22, 74)( 23, 75)( 24, 76)( 25, 77)
( 26, 78)( 27, 79)( 28, 80)( 29, 81)( 30, 82)( 31, 83)( 32, 84)
( 33, 85)( 34, 86)( 35, 87)( 36, 88)( 37, 89)( 38, 90)( 39, 91)
( 40, 92)( 41, 93)( 42, 94)( 43, 95)( 44, 96)( 45, 97)( 46, 98)
( 47, 99)( 48,100)( 49,101)( 50,102)( 51,103)( 52,104) ],
[ ( 1, 9, 8,20,22,31,34, 5)( 2, 3,37,17,18,23,16,39)( 4,33,29,19,24, 6,26,
7)(10,27,14,30,32,36,13,21)(11,25,40,15,35,12,28,38)(41,46,42,45)
(43,47,44,48)(49,53,82,79,70,68,56,57)(50,87,64,71,66,65,85,51)
(52,55,74,54,72,67,77,81)(58,69,61,84,80,78,62,75)(59,86,76,60,83,63,
88,73)(89,94,90,93)(91,95,92,96),
( 1,26,39, 7,22,29,17,19)( 2,28,37, 8,18,40,16,34)( 3,27,35,10,23,36,11,
32)( 4,25,38, 6,24,12,15,33)( 5,21,13, 9,20,30,14,31)(41,48,42,47)
(43,46,44,45)(49,75,61,56,70,84,62,82)(50,69,86,58,66,78,63,80)
(51,73,87,57,71,60,65,79)(52,76,83,55,72,88,59,67)(53,74,85,54,68,77,
64,81)(89,95,90,96)(91,93,92,94), ( 1,49)( 2,50)( 3,51)( 4,52)( 5,53)
( 6,54)( 7,55)( 8,56)( 9,57)(10,58)(11,59)(12,60)(13,61)(14,62)(15,63)
(16,64)(17,65)(18,66)(19,67)(20,68)(21,69)(22,70)(23,71)(24,72)(25,73)
(26,74)(27,75)(28,76)(29,77)(30,78)(31,79)(32,80)(33,81)(34,82)(35,83)
(36,84)(37,85)(38,86)(39,87)(40,88)(41,89)(42,90)(43,91)(44,92)(45,93)
(46,94)(47,95)(48,96) ],
[ ( 5, 40, 13, 30, 34, 51, 6, 39, 14, 29, 33, 52)( 7, 37, 15, 32, 36,
50, 8, 38, 16, 31, 35, 49)( 9, 47, 23, 18, 27, 41, 10, 48, 24, 17,
28, 42)( 11, 46, 22, 20, 26, 43, 12, 45, 21, 19, 25, 44)( 53, 54)
( 55, 56)( 57, 91, 65, 81, 86,104, 58, 92, 66, 82, 85,103)
( 59, 90, 67, 83, 88,101, 60, 89, 68, 84, 87,102)( 61,100, 75, 69, 79,
94, 62, 99, 76, 70, 80, 93)( 63, 97, 74, 71, 78, 96, 64, 98, 73, 72,
77, 95), ( 1, 3, 2, 4)( 5, 31, 36, 44, 28, 51, 6, 32, 35, 43,
27, 52)( 7, 30, 33, 41, 25, 50, 8, 29, 34, 42, 26, 49)
( 9, 47, 16, 40, 22, 19, 10, 48, 15, 39, 21, 20)( 11, 46, 13, 37, 24,
18, 12, 45, 14, 38, 23, 17)( 53, 55, 54, 56)( 57, 83, 88, 96, 80,103,
58, 84, 87, 95, 79,104)( 59, 82, 85, 93, 77,102, 60, 81, 86, 94, 78,
101)( 61, 99, 68, 92, 74, 71, 62,100, 67, 91, 73, 72)( 63, 98, 65, 89,
76, 70, 64, 97, 66, 90, 75, 69), ( 1, 53)( 2, 54)( 3, 55)( 4, 56)
( 5, 57, 6, 58)( 7, 59, 8, 60)( 9, 61, 10, 62)( 11, 63, 12, 64)
( 13, 65, 14, 66)( 15, 67, 16, 68)( 17, 69, 18, 70)( 19, 71, 20, 72)
( 21, 73, 22, 74)( 23, 75, 24, 76)( 25, 77, 26, 78)( 27, 79, 28, 80)
( 29, 81, 30, 82)( 31, 83, 32, 84)( 33, 85, 34, 86)( 35, 87, 36, 88)
( 37, 89, 38, 90)( 39, 91, 40, 92)( 41, 93, 42, 94)( 43, 95, 44, 96)
( 45, 97, 46, 98)( 47, 99, 48,100)( 49,101, 50,102)( 51,103, 52,104) ],
[ ( 1, 4, 2, 3)( 5,23,30, 9,28, 7,22,32,11,25, 6,24,29,10,27, 8,21,31,12,26
)(13,20,37,44,36,15,17,39,41,33,14,19,38,43,35,16,18,40,42,34)
(45,47,46,48)(49,68,74,54,72,52,66,75,55,70,50,67,73,53,71,51,65,76,56,
69)(57,63,81,87,80,60,61,84,85,78,58,64,82,88,79,59,62,83,86,77),
( 1, 4, 2, 3)( 5,33,12,26, 6,34,11,25)( 7,36, 9,27, 8,35,10,28)
(13,42,24,31,14,41,23,32)(15,43,21,29,16,44,22,30)(17,40,20,37,18,39,
19,38)(45,48,46,47)(49,78,56,69,50,77,55,70)(51,79,53,72,52,80,54,71)
(57,85,68,76,58,86,67,75)(59,88,65,74,60,87,66,73)(61,83,64,82,62,84,
63,81), ( 1,45)( 2,46)( 3,47)( 4,48)( 5,49)( 6,50)( 7,51)( 8,52)
( 9,53)(10,54)(11,55)(12,56)(13,57)(14,58)(15,59)(16,60)(17,61)(18,62)
(19,63)(20,64)(21,65)(22,66)(23,67)(24,68)(25,69)(26,70)(27,71)(28,72)
(29,73)(30,74)(31,75)(32,76)(33,77)(34,78)(35,79)(36,80)(37,81)(38,82)
(39,83)(40,84)(41,85)(42,86)(43,87)(44,88) ],
[ ( 1, 9, 8,20,22,31,34, 5)( 2, 3,37,17,18,23,16,39)( 4,33,29,19,24, 6,26,
7)(10,27,14,30,32,36,13,21)(11,25,40,15,35,12,28,38)(41,46,42,45)
(43,47,44,48)(49,53,82,79,70,68,56,57)(50,87,64,71,66,65,85,51)
(52,55,74,54,72,67,77,81)(58,69,61,84,80,78,62,75)(59,86,76,60,83,63,
88,73)(89,94,90,93)(91,95,92,96),
( 1,26,39, 7,22,29,17,19)( 2,28,37, 8,18,40,16,34)( 3,27,35,10,23,36,11,
32)( 4,25,38, 6,24,12,15,33)( 5,21,13, 9,20,30,14,31)(41,48,42,47)
(43,46,44,45)(49,75,61,56,70,84,62,82)(50,69,86,58,66,78,63,80)
(51,73,87,57,71,60,65,79)(52,76,83,55,72,88,59,67)(53,74,85,54,68,77,
64,81)(89,95,90,96)(91,93,92,94),
( 1,49,22,70)( 2,50,18,66)( 3,51,23,71)( 4,52,24,72)( 5,53,20,68)
( 6,54,33,81)( 7,55,19,67)( 8,56,34,82)( 9,57,31,79)(10,58,32,80)
(11,59,35,83)(12,60,25,73)(13,61,14,62)(15,63,38,86)(16,64,37,85)
(17,65,39,87)(21,69,30,78)(26,74,29,77)(27,75,36,84)(28,76,40,88)
(41,89)(42,90)(43,91)(44,92)(45,93)(46,94)(47,95)(48,96) ],
[ ( 1, 2,35,16,22,18,11,37)( 3, 4, 8, 6,23,24,34,33)( 5,32,36,31,20,10,27,
9)( 7,25,15,29,19,12,38,26)(13,40,21,39,14,28,30,17)(45,47,54,51,66,
67,76,63)(46,75,84,77,62,53,72,50)(48,82,58,64,68,59,57,49)
(52,65,60,56,78,74,81,69)(55,83,73,71,79,61,70,80)(85,86)(87,88),
( 1,28,14,37,26,22,40,13,16,29)( 2,10,35,34, 4,18,32,11, 8,24)
( 3,25,33,27,20,23,12, 6,36, 5)( 7,38,39,31,30,19,15,17, 9,21)
(41,43,42,44)(45,77,53,47,81)(46,55,65,56,61)(48,71,70,64,52)
(49,78,68,80,73)(50,75,67,60,66)(51,54,82,84,58)(57,63,76,59,72)
(62,79,74,69,83)(85,88,86,87), ( 1,45,27,71,10,54,22,66,36,80,32,76)
( 2,46, 5,49,25,69,18,62,20,64,12,56)( 3,47,23,67)( 4,48, 6,50,28,72,
24,68,33,77,40,84)( 7,51,29,73,35,79,19,63,26,70,11,55)
( 8,52,13,57,21,65,34,78,14,58,30,74)( 9,53,37,81,38,82,31,75,16,60,15,
59)(17,61,39,83)(41,85,42,86)(43,87,44,88) ],
[ ( 1, 5, 18)( 2, 10, 24)( 3, 15, 6)( 4, 20, 12)( 7, 8, 23)
( 9, 13, 14)( 11, 19, 16)( 17, 21, 22)( 25, 29, 42)( 26, 34, 48)
( 27, 39, 30)( 28, 44, 36)( 31, 32, 47)( 33, 37, 38)( 35, 43, 40)
( 41, 45, 46)( 49, 51, 50, 52)( 53, 67, 70, 55, 57, 58)
( 54, 72, 76, 56, 62, 64)( 59, 68, 75, 71, 60, 63)( 61, 73, 66, 69, 65,
74)( 77, 91, 94, 79, 81, 82)( 78, 96,100, 80, 86, 88)( 83, 92, 99, 95,
84, 87)( 85, 97, 90, 93, 89, 98)(101,104,102,103),
( 1, 44, 23, 31, 24, 46, 3, 34, 11, 43, 12, 38)( 2, 29, 9, 37, 6,
32, 4, 39, 17, 45, 18, 40)( 5, 47, 13, 48, 8, 27, 15, 35, 21, 36,
16, 25)( 7, 42, 22, 26, 10, 33, 19, 30, 14, 28, 20, 41)
( 53, 96, 75, 83, 76, 98, 55, 86, 63, 95, 64, 90)( 54, 81, 61, 89, 58,
84, 56, 91, 69, 97, 70, 92)( 57, 99, 65,100, 60, 79, 67, 87, 73, 88,
68, 77)( 59, 94, 74, 78, 62, 85, 71, 82, 66, 80, 72, 93)(101,102)
(103,104), ( 1, 53)( 2, 54)( 3, 55)( 4, 56)( 5, 57)( 6, 58)
( 7, 59)( 8, 60)( 9, 61)( 10, 62)( 11, 63)( 12, 64)( 13, 65)
( 14, 66)( 15, 67)( 16, 68)( 17, 69)( 18, 70)( 19, 71)( 20, 72)
( 21, 73)( 22, 74)( 23, 75)( 24, 76)( 25, 77)( 26, 78)( 27, 79)
( 28, 80)( 29, 81)( 30, 82)( 31, 83)( 32, 84)( 33, 85)( 34, 86)
( 35, 87)( 36, 88)( 37, 89)( 38, 90)( 39, 91)( 40, 92)( 41, 93)
( 42, 94)( 43, 95)( 44, 96)( 45, 97)( 46, 98)( 47, 99)( 48,100)
( 49,101)( 50,102)( 51,103)( 52,104) ],
[ ( 1, 5, 18)( 2, 10, 24)( 3, 15, 6)( 4, 20, 12)( 7, 8, 23)
( 9, 13, 14)( 11, 19, 16)( 17, 21, 22)( 25, 29, 42)( 26, 34, 48)
( 27, 39, 30)( 28, 44, 36)( 31, 32, 47)( 33, 37, 38)( 35, 43, 40)
( 41, 45, 46)( 49, 51, 50, 52)( 53, 57, 70)( 54, 62, 76)( 55, 67, 58)
( 56, 72, 64)( 59, 60, 75)( 61, 65, 66)( 63, 71, 68)( 69, 73, 74)
( 77, 81, 94)( 78, 86,100)( 79, 91, 82)( 80, 96, 88)( 83, 84, 99)
( 85, 89, 90)( 87, 95, 92)( 93, 97, 98)(101,104,102,103),
( 1, 44, 23, 31, 24, 46, 3, 34, 11, 43, 12, 38)( 2, 29, 9, 37, 6,
32, 4, 39, 17, 45, 18, 40)( 5, 47, 13, 48, 8, 27, 15, 35, 21, 36,
16, 25)( 7, 42, 22, 26, 10, 33, 19, 30, 14, 28, 20, 41)
( 53, 86, 75, 95, 76, 90, 55, 96, 63, 83, 64, 98)( 54, 91, 61, 97, 58,
92, 56, 81, 69, 89, 70, 84)( 57, 87, 65, 88, 60, 77, 67, 99, 73,100,
68, 79)( 59, 82, 74, 80, 62, 93, 71, 94, 66, 78, 72, 85)(101,102)
(103,104), ( 1, 53)( 2, 54)( 3, 55)( 4, 56)( 5, 57)( 6, 58)
( 7, 59)( 8, 60)( 9, 61)( 10, 62)( 11, 63)( 12, 64)( 13, 65)
( 14, 66)( 15, 67)( 16, 68)( 17, 69)( 18, 70)( 19, 71)( 20, 72)
( 21, 73)( 22, 74)( 23, 75)( 24, 76)( 25, 77)( 26, 78)( 27, 79)
( 28, 80)( 29, 81)( 30, 82)( 31, 83)( 32, 84)( 33, 85)( 34, 86)
( 35, 87)( 36, 88)( 37, 89)( 38, 90)( 39, 91)( 40, 92)( 41, 93)
( 42, 94)( 43, 95)( 44, 96)( 45, 97)( 46, 98)( 47, 99)( 48,100)
( 49,101)( 50,102)( 51,103)( 52,104) ],
[ ( 1, 2,35,16,22,18,11,37)( 3, 4, 8, 6,23,24,34,33)( 5,32,36,31,20,10,27,
9)( 7,25,15,29,19,12,38,26)(13,40,21,39,14,28,30,17)(45,61,48,69,66,
83,68,56)(46,49,73,74,62,64,70,65)(47,58,75,79,67,57,53,55)
(50,81,59,54,77,60,82,76)(51,78,80,84,63,52,71,72)(85,86)(87,88),
( 1,28,14,37,26,22,40,13,16,29)( 2,10,35,34, 4,18,32,11, 8,24)
( 3,25,33,27,20,23,12, 6,36, 5)( 7,38,39,31,30,19,15,17, 9,21)
(41,43,42,44)(45,50,53,67,81,66,77,75,47,60)(46,79,65,69,61,62,55,74,
56,83)(48,80,70,49,52,68,71,73,64,78)(51,76,82,72,58,63,54,59,84,57)
(85,88,86,87), ( 1,45,19,63,31,75,22,66, 7,51, 9,53)( 2,46,15,59,26,70,
18,62,38,82,29,73)( 3,47,13,57,34,78,23,67,14,58, 8,52)
( 4,48,28,72,39,83,24,68,40,84,17,61)( 5,49,32,76,16,60,20,64,10,54,37,
81)( 6,50,33,77)(11,55,27,71,25,69,35,79,36,80,12,56)(21,65,30,74)
(41,85,42,86)(43,87,44,88) ],
[ ( 1, 2,35,16,22,18,11,37)( 3, 4, 8, 6,23,24,34,33)( 5,32,36,31,20,10,27,
9)( 7,25,15,29,19,12,38,26)(13,40,21,39,14,28,30,17)(45,61,48,69,66,
83,68,56)(46,49,73,74,62,64,70,65)(47,58,75,79,67,57,53,55)
(50,81,59,54,77,60,82,76)(51,78,80,84,63,52,71,72)(85,86)(87,88),
( 1,28,14,37,26,22,40,13,16,29)( 2,10,35,34, 4,18,32,11, 8,24)
( 3,25,33,27,20,23,12, 6,36, 5)( 7,38,39,31,30,19,15,17, 9,21)
(41,43,42,44)(45,50,53,67,81,66,77,75,47,60)(46,79,65,69,61,62,55,74,
56,83)(48,80,70,49,52,68,71,73,64,78)(51,76,82,72,58,63,54,59,84,57)
(85,88,86,87), ( 1,45, 7,51,31,75)( 2,46,38,82,26,70)( 3,47,14,58,34,78
)( 4,48,40,84,39,83)( 5,49,10,54,16,60)( 6,50)( 8,52,23,67,13,57)
( 9,53,22,66,19,63)(11,55,36,80,25,69)(12,56,35,79,27,71)
(15,59,29,73,18,62)(17,61,24,68,28,72)(20,64,32,76,37,81)(21,65)(30,74)
(33,77)(41,85,42,86)(43,87,44,88) ],
[ ( 1, 5, 18)( 2, 10, 24)( 3, 15, 6)( 4, 20, 12)( 7, 8, 23)
( 9, 13, 14)( 11, 19, 16)( 17, 21, 22)( 25, 29, 42)( 26, 34, 48)
( 27, 39, 30)( 28, 44, 36)( 31, 32, 47)( 33, 37, 38)( 35, 43, 40)
( 41, 45, 46)( 49, 51, 50, 52)( 53, 57, 70)( 54, 62, 76)( 55, 67, 58)
( 56, 72, 64)( 59, 60, 75)( 61, 65, 66)( 63, 71, 68)( 69, 73, 74)
( 77, 81, 94)( 78, 86,100)( 79, 91, 82)( 80, 96, 88)( 83, 84, 99)
( 85, 89, 90)( 87, 95, 92)( 93, 97, 98)(101,104,102,103),
( 1, 44, 23, 31, 24, 46, 3, 34, 11, 43, 12, 38)( 2, 29, 9, 37, 6,
32, 4, 39, 17, 45, 18, 40)( 5, 47, 13, 48, 8, 27, 15, 35, 21, 36,
16, 25)( 7, 42, 22, 26, 10, 33, 19, 30, 14, 28, 20, 41)
( 53, 86, 75, 95, 76, 90, 55, 96, 63, 83, 64, 98)( 54, 91, 61, 97, 58,
92, 56, 81, 69, 89, 70, 84)( 57, 87, 65, 88, 60, 77, 67, 99, 73,100,
68, 79)( 59, 82, 74, 80, 62, 93, 71, 94, 66, 78, 72, 85)(101,102)
(103,104), ( 1, 53, 3, 55)( 2, 54, 4, 56)( 5, 57, 15, 67)
( 6, 58, 18, 70)( 7, 59, 19, 71)( 8, 60, 16, 68)( 9, 61, 17, 69)
( 10, 62, 20, 72)( 11, 63, 23, 75)( 12, 64, 24, 76)( 13, 65, 21, 73)
( 14, 66, 22, 74)( 25, 77, 27, 79)( 26, 78, 28, 80)( 29, 81, 39, 91)
( 30, 82, 42, 94)( 31, 83, 43, 95)( 32, 84, 40, 92)( 33, 85, 41, 93)
( 34, 86, 44, 96)( 35, 87, 47, 99)( 36, 88, 48,100)( 37, 89, 45, 97)
( 38, 90, 46, 98)( 49,101)( 50,102)( 51,103)( 52,104) ],
[ ( 1, 2,35,16,22,18,11,37)( 3, 4, 8, 6,23,24,34,33)( 5,32,36,31,20,10,27,
9)( 7,25,15,29,19,12,38,26)(13,40,21,39,14,28,30,17)(45,47,54,51,66,
67,76,63)(46,75,84,77,62,53,72,50)(48,82,58,64,68,59,57,49)
(52,65,60,56,78,74,81,69)(55,83,73,71,79,61,70,80)(85,86)(87,88),
( 1,28,14,37,26,22,40,13,16,29)( 2,10,35,34, 4,18,32,11, 8,24)
( 3,25,33,27,20,23,12, 6,36, 5)( 7,38,39,31,30,19,15,17, 9,21)
(41,43,42,44)(45,50,53,67,81,66,77,75,47,60)(46,79,65,69,61,62,55,74,
56,83)(48,80,70,49,52,68,71,73,64,78)(51,76,82,72,58,63,54,59,84,57)
(85,88,86,87), ( 1,45,36,80,10,54)( 2,46,20,64,25,69)( 3,47)
( 4,48,33,77,28,72)( 5,49,12,56,18,62)( 6,50,40,84,24,68)
( 7,51,26,70,35,79)( 8,52,14,58,21,65)( 9,53,16,60,38,82)
(11,55,19,63,29,73)(13,57,30,74,34,78)(15,59,31,75,37,81)(17,61)
(22,66,27,71,32,76)(23,67)(39,83)(41,85)(42,86)(43,87)(44,88) ],
[ ( 1, 5, 18)( 2, 10, 24)( 3, 15, 6)( 4, 20, 12)( 7, 8, 23)
( 9, 13, 14)( 11, 19, 16)( 17, 21, 22)( 25, 29, 42)( 26, 34, 48)
( 27, 39, 30)( 28, 44, 36)( 31, 32, 47)( 33, 37, 38)( 35, 43, 40)
( 41, 45, 46)( 49, 51, 50, 52)( 53, 57, 70)( 54, 62, 76)( 55, 67, 58)
( 56, 72, 64)( 59, 60, 75)( 61, 65, 66)( 63, 71, 68)( 69, 73, 74)
( 77, 81, 94)( 78, 86,100)( 79, 91, 82)( 80, 96, 88)( 83, 84, 99)
( 85, 89, 90)( 87, 95, 92)( 93, 97, 98)(101,104,102,103),
( 1, 44, 23, 31, 24, 46, 3, 34, 11, 43, 12, 38)( 2, 29, 9, 37, 6,
32, 4, 39, 17, 45, 18, 40)( 5, 47, 13, 48, 8, 27, 15, 35, 21, 36,
16, 25)( 7, 42, 22, 26, 10, 33, 19, 30, 14, 28, 20, 41)
( 53, 96, 75, 83, 76, 98, 55, 86, 63, 95, 64, 90)( 54, 81, 61, 89, 58,
84, 56, 91, 69, 97, 70, 92)( 57, 99, 65,100, 60, 79, 67, 87, 73, 88,
68, 77)( 59, 94, 74, 78, 62, 85, 71, 82, 66, 80, 72, 93)(101,102)
(103,104), ( 1, 53)( 2, 54)( 3, 55)( 4, 56)( 5, 57)( 6, 58)
( 7, 59)( 8, 60)( 9, 61)( 10, 62)( 11, 63)( 12, 64)( 13, 65)
( 14, 66)( 15, 67)( 16, 68)( 17, 69)( 18, 70)( 19, 71)( 20, 72)
( 21, 73)( 22, 74)( 23, 75)( 24, 76)( 25, 77)( 26, 78)( 27, 79)
( 28, 80)( 29, 81)( 30, 82)( 31, 83)( 32, 84)( 33, 85)( 34, 86)
( 35, 87)( 36, 88)( 37, 89)( 38, 90)( 39, 91)( 40, 92)( 41, 93)
( 42, 94)( 43, 95)( 44, 96)( 45, 97)( 46, 98)( 47, 99)( 48,100)
( 49,101, 50,102)( 51,103, 52,104) ],
[ ( 1, 5, 18)( 2, 10, 24)( 3, 15, 6)( 4, 20, 12)( 7, 8, 23)
( 9, 13, 14)( 11, 19, 16)( 17, 21, 22)( 25, 29, 42)( 26, 34, 48)
( 27, 39, 30)( 28, 44, 36)( 31, 32, 47)( 33, 37, 38)( 35, 43, 40)
( 41, 45, 46)( 49, 51, 50, 52)( 53, 67, 70, 55, 57, 58)
( 54, 72, 76, 56, 62, 64)( 59, 68, 75, 71, 60, 63)( 61, 73, 66, 69, 65,
74)( 77, 91, 94, 79, 81, 82)( 78, 96,100, 80, 86, 88)( 83, 92, 99, 95,
84, 87)( 85, 97, 90, 93, 89, 98)(101,104,102,103),
( 1, 44, 23, 31, 24, 46, 3, 34, 11, 43, 12, 38)( 2, 29, 9, 37, 6,
32, 4, 39, 17, 45, 18, 40)( 5, 47, 13, 48, 8, 27, 15, 35, 21, 36,
16, 25)( 7, 42, 22, 26, 10, 33, 19, 30, 14, 28, 20, 41)
( 53, 86, 75, 95, 76, 90, 55, 96, 63, 83, 64, 98)( 54, 91, 61, 97, 58,
92, 56, 81, 69, 89, 70, 84)( 57, 87, 65, 88, 60, 77, 67, 99, 73,100,
68, 79)( 59, 82, 74, 80, 62, 93, 71, 94, 66, 78, 72, 85)(101,102)
(103,104), ( 1, 53)( 2, 54)( 3, 55)( 4, 56)( 5, 57)( 6, 58)
( 7, 59)( 8, 60)( 9, 61)( 10, 62)( 11, 63)( 12, 64)( 13, 65)
( 14, 66)( 15, 67)( 16, 68)( 17, 69)( 18, 70)( 19, 71)( 20, 72)
( 21, 73)( 22, 74)( 23, 75)( 24, 76)( 25, 77)( 26, 78)( 27, 79)
( 28, 80)( 29, 81)( 30, 82)( 31, 83)( 32, 84)( 33, 85)( 34, 86)
( 35, 87)( 36, 88)( 37, 89)( 38, 90)( 39, 91)( 40, 92)( 41, 93)
( 42, 94)( 43, 95)( 44, 96)( 45, 97)( 46, 98)( 47, 99)( 48,100)
( 49,101, 50,102)( 51,103, 52,104) ],
[ ( 1, 5, 18)( 2, 10, 24)( 3, 15, 6)( 4, 20, 12)( 7, 8, 23)
( 9, 13, 14)( 11, 19, 16)( 17, 21, 22)( 25, 29, 42)( 26, 34, 48)
( 27, 39, 30)( 28, 44, 36)( 31, 32, 47)( 33, 37, 38)( 35, 43, 40)
( 41, 45, 46)( 49, 51, 50, 52)( 53, 57, 70)( 54, 62, 76)( 55, 67, 58)
( 56, 72, 64)( 59, 60, 75)( 61, 65, 66)( 63, 71, 68)( 69, 73, 74)
( 77, 81, 94)( 78, 86,100)( 79, 91, 82)( 80, 96, 88)( 83, 84, 99)
( 85, 89, 90)( 87, 95, 92)( 93, 97, 98)(101,104,102,103),
( 1, 44, 23, 31, 24, 46, 3, 34, 11, 43, 12, 38)( 2, 29, 9, 37, 6,
32, 4, 39, 17, 45, 18, 40)( 5, 47, 13, 48, 8, 27, 15, 35, 21, 36,
16, 25)( 7, 42, 22, 26, 10, 33, 19, 30, 14, 28, 20, 41)
( 53, 96, 75, 83, 76, 98, 55, 86, 63, 95, 64, 90)( 54, 81, 61, 89, 58,
84, 56, 91, 69, 97, 70, 92)( 57, 99, 65,100, 60, 79, 67, 87, 73, 88,
68, 77)( 59, 94, 74, 78, 62, 85, 71, 82, 66, 80, 72, 93)(101,102)
(103,104), ( 1, 53, 3, 55)( 2, 54, 4, 56)( 5, 57, 15, 67)
( 6, 58, 18, 70)( 7, 59, 19, 71)( 8, 60, 16, 68)( 9, 61, 17, 69)
( 10, 62, 20, 72)( 11, 63, 23, 75)( 12, 64, 24, 76)( 13, 65, 21, 73)
( 14, 66, 22, 74)( 25, 77, 27, 79)( 26, 78, 28, 80)( 29, 81, 39, 91)
( 30, 82, 42, 94)( 31, 83, 43, 95)( 32, 84, 40, 92)( 33, 85, 41, 93)
( 34, 86, 44, 96)( 35, 87, 47, 99)( 36, 88, 48,100)( 37, 89, 45, 97)
( 38, 90, 46, 98)( 49,101, 50,102)( 51,103, 52,104) ],
[ ( 1, 2,35,16,22,18,11,37)( 3, 4, 8, 6,23,24,34,33)( 5,32,36,31,20,10,27,
9)( 7,25,15,29,19,12,38,26)(13,40,21,39,14,28,30,17)(45,61,48,69,66,
83,68,56)(46,49,73,74,62,64,70,65)(47,58,75,79,67,57,53,55)
(50,81,59,54,77,60,82,76)(51,78,80,84,63,52,71,72)(85,86)(87,88),
( 1,28,14,37,26,22,40,13,16,29)( 2,10,35,34, 4,18,32,11, 8,24)
( 3,25,33,27,20,23,12, 6,36, 5)( 7,38,39,31,30,19,15,17, 9,21)
(41,43,42,44)(45,50,53,67,81,66,77,75,47,60)(46,79,65,69,61,62,55,74,
56,83)(48,80,70,49,52,68,71,73,64,78)(51,76,82,72,58,63,54,59,84,57)
(85,88,86,87), ( 1,45, 7,51,31,75)( 2,46,38,82,26,70)( 3,47,14,58,34,78
)( 4,48,40,84,39,83)( 5,49,10,54,16,60)( 6,50)( 8,52,23,67,13,57)
( 9,53,22,66,19,63)(11,55,36,80,25,69)(12,56,35,79,27,71)
(15,59,29,73,18,62)(17,61,24,68,28,72)(20,64,32,76,37,81)(21,65)(30,74)
(33,77)(41,85)(42,86)(43,87)(44,88) ],
[ ( 1, 2,35,16,22,18,11,37)( 3, 4, 8, 6,23,24,34,33)( 5,32,36,31,20,10,27,
9)( 7,25,15,29,19,12,38,26)(13,40,21,39,14,28,30,17)(45,61,48,69,66,
83,68,56)(46,49,73,74,62,64,70,65)(47,58,75,79,67,57,53,55)
(50,81,59,54,77,60,82,76)(51,78,80,84,63,52,71,72)(85,86)(87,88),
( 1,28,14,37,26,22,40,13,16,29)( 2,10,35,34, 4,18,32,11, 8,24)
( 3,25,33,27,20,23,12, 6,36, 5)( 7,38,39,31,30,19,15,17, 9,21)
(41,43,42,44)(45,50,53,67,81,66,77,75,47,60)(46,79,65,69,61,62,55,74,
56,83)(48,80,70,49,52,68,71,73,64,78)(51,76,82,72,58,63,54,59,84,57)
(85,88,86,87), ( 1,45,19,63,31,75,22,66, 7,51, 9,53)( 2,46,15,59,26,70,
18,62,38,82,29,73)( 3,47,13,57,34,78,23,67,14,58, 8,52)
( 4,48,28,72,39,83,24,68,40,84,17,61)( 5,49,32,76,16,60,20,64,10,54,37,
81)( 6,50,33,77)(11,55,27,71,25,69,35,79,36,80,12,56)(21,65,30,74)
(41,85)(42,86)(43,87)(44,88) ],
[ ( 1, 2,35,16,22,18,11,37)( 3, 4, 8, 6,23,24,34,33)( 5,32,36,31,20,10,27,
9)( 7,25,15,29,19,12,38,26)(13,40,21,39,14,28,30,17)(45,47,54,51,66,
67,76,63)(46,75,84,77,62,53,72,50)(48,82,58,64,68,59,57,49)
(52,65,60,56,78,74,81,69)(55,83,73,71,79,61,70,80)(85,86)(87,88),
( 1,28,14,37,26,22,40,13,16,29)( 2,10,35,34, 4,18,32,11, 8,24)
( 3,25,33,27,20,23,12, 6,36, 5)( 7,38,39,31,30,19,15,17, 9,21)
(41,43,42,44)(45,77,53,47,81)(46,55,65,56,61)(48,71,70,64,52)
(49,78,68,80,73)(50,75,67,60,66)(51,54,82,84,58)(57,63,76,59,72)
(62,79,74,69,83)(85,88,86,87), ( 1,45,36,80,10,54)( 2,46,20,64,25,69)
( 3,47)( 4,48,33,77,28,72)( 5,49,12,56,18,62)( 6,50,40,84,24,68)
( 7,51,26,70,35,79)( 8,52,14,58,21,65)( 9,53,16,60,38,82)
(11,55,19,63,29,73)(13,57,30,74,34,78)(15,59,31,75,37,81)(17,61)
(22,66,27,71,32,76)(23,67)(39,83)(41,85)(42,86)(43,87)(44,88) ],
[ ( 1, 5, 18)( 2, 10, 24)( 3, 15, 6)( 4, 20, 12)( 7, 8, 23)
( 9, 13, 14)( 11, 19, 16)( 17, 21, 22)( 25, 29, 42)( 26, 34, 48)
( 27, 39, 30)( 28, 44, 36)( 31, 32, 47)( 33, 37, 38)( 35, 43, 40)
( 41, 45, 46)( 49, 51, 50, 52)( 53, 57, 70)( 54, 62, 76)( 55, 67, 58)
( 56, 72, 64)( 59, 60, 75)( 61, 65, 66)( 63, 71, 68)( 69, 73, 74)
( 77, 81, 94)( 78, 86,100)( 79, 91, 82)( 80, 96, 88)( 83, 84, 99)
( 85, 89, 90)( 87, 95, 92)( 93, 97, 98)(101,104,102,103),
( 1, 44, 23, 31, 24, 46, 3, 34, 11, 43, 12, 38)( 2, 29, 9, 37, 6,
32, 4, 39, 17, 45, 18, 40)( 5, 47, 13, 48, 8, 27, 15, 35, 21, 36,
16, 25)( 7, 42, 22, 26, 10, 33, 19, 30, 14, 28, 20, 41)
( 53, 86, 75, 95, 76, 90, 55, 96, 63, 83, 64, 98)( 54, 91, 61, 97, 58,
92, 56, 81, 69, 89, 70, 84)( 57, 87, 65, 88, 60, 77, 67, 99, 73,100,
68, 79)( 59, 82, 74, 80, 62, 93, 71, 94, 66, 78, 72, 85)(101,102)
(103,104), ( 1, 53, 3, 55)( 2, 54, 4, 56)( 5, 57, 15, 67)
( 6, 58, 18, 70)( 7, 59, 19, 71)( 8, 60, 16, 68)( 9, 61, 17, 69)
( 10, 62, 20, 72)( 11, 63, 23, 75)( 12, 64, 24, 76)( 13, 65, 21, 73)
( 14, 66, 22, 74)( 25, 77, 27, 79)( 26, 78, 28, 80)( 29, 81, 39, 91)
( 30, 82, 42, 94)( 31, 83, 43, 95)( 32, 84, 40, 92)( 33, 85, 41, 93)
( 34, 86, 44, 96)( 35, 87, 47, 99)( 36, 88, 48,100)( 37, 89, 45, 97)
( 38, 90, 46, 98)( 49,101, 50,102)( 51,103, 52,104) ],
[ ( 1, 5, 18)( 2, 10, 24)( 3, 15, 6)( 4, 20, 12)( 7, 8, 23)
( 9, 13, 14)( 11, 19, 16)( 17, 21, 22)( 25, 29, 42)( 26, 34, 48)
( 27, 39, 30)( 28, 44, 36)( 31, 32, 47)( 33, 37, 38)( 35, 43, 40)
( 41, 45, 46)( 49, 51, 50, 52)( 53, 57, 70)( 54, 62, 76)( 55, 67, 58)
( 56, 72, 64)( 59, 60, 75)( 61, 65, 66)( 63, 71, 68)( 69, 73, 74)
( 77, 81, 94)( 78, 86,100)( 79, 91, 82)( 80, 96, 88)( 83, 84, 99)
( 85, 89, 90)( 87, 95, 92)( 93, 97, 98)(101,104,102,103),
( 1, 44, 23, 31, 24, 46, 3, 34, 11, 43, 12, 38)( 2, 29, 9, 37, 6,
32, 4, 39, 17, 45, 18, 40)( 5, 47, 13, 48, 8, 27, 15, 35, 21, 36,
16, 25)( 7, 42, 22, 26, 10, 33, 19, 30, 14, 28, 20, 41)
( 53, 86, 75, 95, 76, 90, 55, 96, 63, 83, 64, 98)( 54, 91, 61, 97, 58,
92, 56, 81, 69, 89, 70, 84)( 57, 87, 65, 88, 60, 77, 67, 99, 73,100,
68, 79)( 59, 82, 74, 80, 62, 93, 71, 94, 66, 78, 72, 85)(101,102)
(103,104), ( 1, 53)( 2, 54)( 3, 55)( 4, 56)( 5, 57)( 6, 58)
( 7, 59)( 8, 60)( 9, 61)( 10, 62)( 11, 63)( 12, 64)( 13, 65)
( 14, 66)( 15, 67)( 16, 68)( 17, 69)( 18, 70)( 19, 71)( 20, 72)
( 21, 73)( 22, 74)( 23, 75)( 24, 76)( 25, 77)( 26, 78)( 27, 79)
( 28, 80)( 29, 81)( 30, 82)( 31, 83)( 32, 84)( 33, 85)( 34, 86)
( 35, 87)( 36, 88)( 37, 89)( 38, 90)( 39, 91)( 40, 92)( 41, 93)
( 42, 94)( 43, 95)( 44, 96)( 45, 97)( 46, 98)( 47, 99)( 48,100)
( 49,101, 50,102)( 51,103, 52,104) ],
[ ( 1, 5, 18)( 2, 10, 24)( 3, 15, 6)( 4, 20, 12)( 7, 8, 23)
( 9, 13, 14)( 11, 19, 16)( 17, 21, 22)( 25, 29, 42)( 26, 34, 48)
( 27, 39, 30)( 28, 44, 36)( 31, 32, 47)( 33, 37, 38)( 35, 43, 40)
( 41, 45, 46)( 49, 51, 50, 52)( 53, 67, 70, 55, 57, 58)
( 54, 72, 76, 56, 62, 64)( 59, 68, 75, 71, 60, 63)( 61, 73, 66, 69, 65,
74)( 77, 91, 94, 79, 81, 82)( 78, 96,100, 80, 86, 88)( 83, 92, 99, 95,
84, 87)( 85, 97, 90, 93, 89, 98)(101,104,102,103),
( 1, 44, 23, 31, 24, 46, 3, 34, 11, 43, 12, 38)( 2, 29, 9, 37, 6,
32, 4, 39, 17, 45, 18, 40)( 5, 47, 13, 48, 8, 27, 15, 35, 21, 36,
16, 25)( 7, 42, 22, 26, 10, 33, 19, 30, 14, 28, 20, 41)
( 53, 96, 75, 83, 76, 98, 55, 86, 63, 95, 64, 90)( 54, 81, 61, 89, 58,
84, 56, 91, 69, 97, 70, 92)( 57, 99, 65,100, 60, 79, 67, 87, 73, 88,
68, 77)( 59, 94, 74, 78, 62, 85, 71, 82, 66, 80, 72, 93)(101,102)
(103,104), ( 1, 53)( 2, 54)( 3, 55)( 4, 56)( 5, 57)( 6, 58)
( 7, 59)( 8, 60)( 9, 61)( 10, 62)( 11, 63)( 12, 64)( 13, 65)
( 14, 66)( 15, 67)( 16, 68)( 17, 69)( 18, 70)( 19, 71)( 20, 72)
( 21, 73)( 22, 74)( 23, 75)( 24, 76)( 25, 77)( 26, 78)( 27, 79)
( 28, 80)( 29, 81)( 30, 82)( 31, 83)( 32, 84)( 33, 85)( 34, 86)
( 35, 87)( 36, 88)( 37, 89)( 38, 90)( 39, 91)( 40, 92)( 41, 93)
( 42, 94)( 43, 95)( 44, 96)( 45, 97)( 46, 98)( 47, 99)( 48,100)
( 49,101, 50,102)( 51,103, 52,104) ],
[ ( 1, 2)( 7,11,25, 8,12,26)( 9,13,24,10,14,23)(15,27,18,16,28,17)
(19,29,22,20,30,21)(31,32)(33,35)(34,36)(37,41,55,38,42,56)
(39,43,54,40,44,53)(45,57,48,46,58,47)(49,59,52,50,60,51),
( 1, 2)( 3, 4, 5, 6)( 7,21,11,27,16)( 8,22,12,28,15)( 9,18,13,29,20)
(10,17,14,30,19)(31,32)(33,36,35,34)(37,51,41,57,46)(38,52,42,58,45)
(39,48,43,59,50)(40,47,44,60,49), ( 1,31)( 2,32)( 3,33)( 4,34)( 5,35)
( 6,36)( 7,37)( 8,38)( 9,39)(10,40)(11,41)(12,42)(13,43)(14,44)(15,45)
(16,46)(17,47)(18,48)(19,49)(20,50)(21,51)(22,52)(23,53)(24,54)(25,55)
(26,56)(27,57)(28,58)(29,59)(30,60) ],
[ ( 1, 9,16, 8,20,11, 4,15,10, 3,14, 5)( 2,17,23,12,13,24, 7,22,21, 6,19,18
)(25,26)(27,28)(29,51,45,36,52,41,32,49,50,31,46,47)(30,43,44,40,42,
39,35,37,38,34,48,33), ( 1,15,23,19,11, 4, 9,21,13, 5)( 2, 7)
( 3,20,18,22,16, 8,14,24,17,10)( 6,12)(25,27,26,28)(29,32)
(30,37,45,46,39,35,43,50,52,33)(31,36)(34,42,47,49,44,40,48,41,51,38)
(53,55,54,56), ( 1,29)( 2,30)( 3,31)( 4,32)( 5,33)( 6,34)( 7,35)( 8,36)
( 9,37)(10,38)(11,39)(12,40)(13,41)(14,42)(15,43)(16,44)(17,45)(18,46)
(19,47)(20,48)(21,49)(22,50)(23,51)(24,52)(25,53)(26,54)(27,55)(28,56)
],
[ ( 1, 9,16, 8,20,11, 4,15,10, 3,14, 5)( 2,17,23,12,13,24, 7,22,21, 6,19,18
)(25,26)(27,28)(29,52,48,31,51,37,32,46,42,36,49,43)(30,45,33,34,47,
38,35,50,39,40,41,44), ( 1,15,23,19,11, 4, 9,21,13, 5)( 2, 7)
( 3,20,18,22,16, 8,14,24,17,10)( 6,12)(25,27,26,28)(29,46,42,41,35,32,
52,48,47,30)(31,49,43,45,40,36,51,37,50,34)(33,39)(38,44)(53,55,54,56)
, ( 1,29, 2,30,21,49,16,44,22,50)( 3,31, 6,34,24,52, 5,33,13,41)
( 4,32, 7,35,23,51,10,38,17,45)( 8,36,12,40,18,46,11,39,19,47)( 9,37)
(14,42)(15,43)(20,48)(25,53)(26,54)(27,55)(28,56) ],
[ ( 1, 9,16, 8,20,11, 4,15,10, 3,14, 5)( 2,17,23,12,13,24, 7,22,21, 6,19,18
)(25,26)(27,28)(29,52,48,31,51,37,32,46,42,36,49,43)(30,45,33,34,47,
38,35,50,39,40,41,44), ( 1,15,23,19,11, 4, 9,21,13, 5)( 2, 7)
( 3,20,18,22,16, 8,14,24,17,10)( 6,12)(25,27,26,28)(29,46,42,41,35,32,
52,48,47,30)(31,49,43,45,40,36,51,37,50,34)(33,39)(38,44)(53,55,54,56)
, ( 1,29, 7,35,21,49,10,38,22,50, 4,32, 2,30,23,51,16,44,17,45)
( 3,31,12,40,24,52,11,39,13,41, 8,36, 6,34,18,46, 5,33,19,47)
( 9,37,15,43)(14,42,20,48)(25,53,26,54)(27,55,28,56) ],
[ ( 1, 3, 2, 4)( 5, 17, 6, 18)( 7, 19, 8, 20)( 9, 30, 47, 24, 49,
25, 13, 37, 44, 34, 10, 29, 48, 23, 50, 26, 14, 38, 43, 33)
( 11, 32, 45, 21, 52, 27, 15, 40, 41, 35, 12, 31, 46, 22, 51, 28, 16,
39, 42, 36)( 53, 56, 54, 55)( 57, 69, 58, 70)( 59, 71, 60, 72)
( 61, 82, 99, 76,101, 77, 65, 89, 96, 86, 62, 81,100, 75,102, 78, 66,
90, 95, 85)( 63, 84, 97, 73,104, 79, 67, 92, 93, 87, 64, 83, 98, 74,
103, 80, 68, 91, 94, 88), ( 1, 4, 2, 3)( 5, 13, 36, 20, 32, 49)
( 6, 14, 35, 19, 31, 50)( 7, 16, 34, 18, 29, 51)( 8, 15, 33, 17, 30,
52)( 9, 45, 23, 28, 38, 42)( 10, 46, 24, 27, 37, 41)( 11, 48, 21, 26,
40, 44)( 12, 47, 22, 25, 39, 43)( 53, 56, 54, 55)( 57, 95, 83, 72, 74,
66)( 58, 96, 84, 71, 73, 65)( 59, 93, 82, 70, 76, 67)( 60, 94, 81, 69,
75, 68)( 61, 98,101, 80, 89, 88)( 62, 97,102, 79, 90, 87)
( 63, 99,104, 78, 91, 85)( 64,100,103, 77, 92, 86),
( 1, 53)( 2, 54)( 3, 55)( 4, 56)( 5, 57)( 6, 58)( 7, 59)( 8, 60)
( 9, 61, 14, 66, 48,100, 44, 96, 49,101)( 10, 62, 13, 65, 47, 99, 43,
95, 50,102)( 11, 63, 16, 68, 46, 98, 41, 93, 52,104)( 12, 64, 15, 67,
45, 97, 42, 94, 51,103)( 17, 69)( 18, 70)( 19, 71)( 20, 72)
( 21, 73, 36, 88, 28, 80, 31, 83, 40, 92)( 22, 74, 35, 87, 27, 79, 32,
84, 39, 91)( 23, 75, 34, 86, 25, 77, 30, 82, 38, 90)( 24, 76, 33, 85,
26, 78, 29, 81, 37, 89) ],
[ ( 1, 9,16, 8,20,11, 4,15,10, 3,14, 5)( 2,17,23,12,13,24, 7,22,21, 6,19,18
)(25,26)(27,28)(29,51,45,36,52,41,32,49,50,31,46,47)(30,43,44,40,42,
39,35,37,38,34,48,33), ( 1,15,23,19,11, 4, 9,21,13, 5)( 2, 7)
( 3,20,18,22,16, 8,14,24,17,10)( 6,12)(25,27,26,28)(30,43,45,52,39)
(33,35,37,50,46)(34,48,47,51,44)(38,40,42,41,49)(53,55,54,56),
( 1,29)( 2,30)( 3,31)( 4,32)( 5,33)( 6,34)( 7,35)( 8,36)( 9,37)(10,38)
(11,39)(12,40)(13,41)(14,42)(15,43)(16,44)(17,45)(18,46)(19,47)(20,48)
(21,49)(22,50)(23,51)(24,52)(25,53)(26,54)(27,55)(28,56) ],
[ ( 1, 9,16, 8,20,11, 4,15,10, 3,14, 5)( 2,17,23,12,13,24, 7,22,21, 6,19,18
)(25,26)(27,28)(29,51,45,36,52,41,32,49,50,31,46,47)(30,43,44,40,42,
39,35,37,38,34,48,33), ( 1,15,23,19,11, 4, 9,21,13, 5)( 2, 7)
( 3,20,18,22,16, 8,14,24,17,10)( 6,12)(25,27,26,28)(30,43,45,52,39)
(33,35,37,50,46)(34,48,47,51,44)(38,40,42,41,49)(53,55,54,56),
( 1,29)( 2,30)( 3,31)( 4,32)( 5,33)( 6,34)( 7,35)( 8,36)( 9,37)(10,38)
(11,39)(12,40)(13,41)(14,42)(15,43)(16,44)(17,45)(18,46)(19,47)(20,48)
(21,49)(22,50)(23,51)(24,52)(25,53,26,54)(27,55,28,56) ],
[ ( 1, 3)( 2, 4)( 5,12, 6,11)( 7,10, 8, 9)(13,21,14,22)(15,17,16,18)
(19,24,20,23)(25,28,26,27)(29,31)(30,32)(33,40,34,39)(35,38,36,37)
(41,49,42,50)(43,45,44,46)(47,52,48,51)(53,56,54,55),
( 1, 4, 2, 3)( 5,22,15,20,14,17, 6,21,16,19,13,18)( 7,27,12,26, 9,23, 8,
28,11,25,10,24)(29,31,30,32)(33,49,43,47,42,46,34,50,44,48,41,45)
(35,56,40,53,37,52,36,55,39,54,38,51),
( 1,29, 2,30)( 3,31, 4,32)( 5,33, 6,34)( 7,35, 8,36)( 9,37,10,38)
(11,39,12,40)(13,41,14,42)(15,43,16,44)(17,45,18,46)(19,47,20,48)
(21,49,22,50)(23,51,24,52)(25,53,26,54)(27,55,28,56) ],
[ ( 1, 3, 2, 4)( 5, 17, 6, 18)( 7, 19, 8, 20)( 9, 30, 47, 24, 49,
25, 13, 37, 44, 34, 10, 29, 48, 23, 50, 26, 14, 38, 43, 33)
( 11, 32, 45, 21, 52, 27, 15, 40, 41, 35, 12, 31, 46, 22, 51, 28, 16,
39, 42, 36)( 53, 56, 54, 55)( 57, 69, 58, 70)( 59, 71, 60, 72)
( 61, 82, 99, 76,101, 77, 65, 89, 96, 86, 62, 81,100, 75,102, 78, 66,
90, 95, 85)( 63, 84, 97, 73,104, 79, 67, 92, 93, 87, 64, 83, 98, 74,
103, 80, 68, 91, 94, 88), ( 1, 4, 2, 3)( 5, 13, 36, 20, 32, 49)
( 6, 14, 35, 19, 31, 50)( 7, 16, 34, 18, 29, 51)( 8, 15, 33, 17, 30,
52)( 9, 45, 23, 28, 38, 42)( 10, 46, 24, 27, 37, 41)( 11, 48, 21, 26,
40, 44)( 12, 47, 22, 25, 39, 43)( 53, 56, 54, 55)( 57, 95, 83, 72, 74,
66)( 58, 96, 84, 71, 73, 65)( 59, 93, 82, 70, 76, 67)( 60, 94, 81, 69,
75, 68)( 61, 98,101, 80, 89, 88)( 62, 97,102, 79, 90, 87)
( 63, 99,104, 78, 91, 85)( 64,100,103, 77, 92, 86),
( 1, 53, 2, 54)( 3, 55, 4, 56)( 5, 57)( 6, 58)( 7, 59)( 8, 60)
( 9, 61, 14, 66, 48,100, 44, 96, 49,101)( 10, 62, 13, 65, 47, 99, 43,
95, 50,102)( 11, 63, 16, 68, 46, 98, 41, 93, 52,104)( 12, 64, 15, 67,
45, 97, 42, 94, 51,103)( 17, 69)( 18, 70)( 19, 71)( 20, 72)
( 21, 73, 36, 88, 28, 80, 31, 83, 40, 92)( 22, 74, 35, 87, 27, 79, 32,
84, 39, 91)( 23, 75, 34, 86, 25, 77, 30, 82, 38, 90)( 24, 76, 33, 85,
26, 78, 29, 81, 37, 89) ],
[ ( 1, 9,16, 8,20,11, 4,15,10, 3,14, 5)( 2,17,23,12,13,24, 7,22,21, 6,19,18
)(25,26)(27,28)(29,51,45,36,52,41,32,49,50,31,46,47)(30,43,44,40,42,
39,35,37,38,34,48,33), ( 1,15,23,19,11, 4, 9,21,13, 5)( 2, 7)
( 3,20,18,22,16, 8,14,24,17,10)( 6,12)(25,27,26,28)(30,43,45,52,39)
(33,35,37,50,46)(34,48,47,51,44)(38,40,42,41,49)(53,56,54,55),
( 1,29)( 2,30)( 3,31)( 4,32)( 5,33)( 6,34)( 7,35)( 8,36)( 9,37)(10,38)
(11,39)(12,40)(13,41)(14,42)(15,43)(16,44)(17,45)(18,46)(19,47)(20,48)
(21,49)(22,50)(23,51)(24,52)(25,53)(26,54)(27,55)(28,56) ],
[ ( 1, 2,17, 9,32,14)( 3,12,29,24,35,16)( 4,11,37,23,25,26)( 5,21, 8,15,33,
40)( 6,28,20,30,34,38)( 7,19)(10,13,22,18,39,31)(41,42)(43,44)
(45,46,61,53,76,58)(47,56,73,68,79,60)(48,55,81,67,69,70)
(49,65,52,59,77,84)(50,72,64,74,78,82)(51,63)(54,57,66,62,83,75)(85,86)
(87,88), ( 1, 7,17,26,22,19,39,29)( 2, 8,16,28,18,34,37,40)
( 3,10,11,27,23,32,35,36)( 4, 6,15,25,24,33,38,12)( 5, 9,14,21,20,31,
13,30)(41,44)(42,43)(45,51,61,70,66,63,83,73)(46,52,60,72,62,78,81,84)
(47,54,55,71,67,76,79,80)(48,50,59,69,68,77,82,56)(49,53,58,65,64,75,
57,74)(85,88)(86,87), ( 1,20,29)( 2,27,31)( 3, 8,30)( 5,26,22)
( 6,39,28)( 7,25,16)( 9,18,36)(10,35,15)(11,38,32)(12,37,19)(17,40,33)
(21,23,34)(41,42)(43,44)(45,64,73)(46,71,75)(47,52,74)(49,70,66)
(50,83,72)(51,69,60)(53,62,80)(54,79,59)(55,82,76)(56,81,63)(61,84,77)
(65,67,78)(85,86)(87,88), ( 1,45)( 2,46)( 3,47)( 4,48)( 5,49)( 6,50)
( 7,51)( 8,52)( 9,53)(10,54)(11,55)(12,56)(13,57)(14,58)(15,59)(16,60)
(17,61)(18,62)(19,63)(20,64)(21,65)(22,66)(23,67)(24,68)(25,69)(26,70)
(27,71)(28,72)(29,73)(30,74)(31,75)(32,76)(33,77)(34,78)(35,79)(36,80)
(37,81)(38,82)(39,83)(40,84)(41,85)(42,86)(43,87)(44,88) ],
[ ( 1, 3)( 2, 4)( 5, 16, 9, 19, 6, 15, 8, 17, 7, 18)
( 10, 22, 11, 21, 12, 20, 14, 23, 13, 24)( 25, 27)( 26, 28)
( 29, 40, 33, 43, 30, 39, 32, 41, 31, 42)( 34, 46, 35, 45, 36, 44, 38,
47, 37, 48)( 49, 52)( 50, 51)( 53, 55)( 54, 56)( 57, 68, 61, 71, 58,
67, 60, 69, 59, 70)( 62, 74, 63, 73, 64, 72, 66, 75, 65, 76)( 77, 79)
( 78, 80)( 81, 92, 85, 95, 82, 91, 84, 93, 83, 94)( 86, 98, 87, 97, 88,
96, 90, 99, 89,100)(101,104)(102,103),
( 1, 7, 17)( 2, 13, 23)( 3, 19, 9)( 4, 21, 11)( 5, 14, 12)
( 6, 20, 8)( 10, 16, 18)( 15, 22, 24)( 25, 31, 41)( 26, 37, 47)
( 27, 43, 33)( 28, 45, 35)( 29, 38, 36)( 30, 44, 32)( 34, 40, 42)
( 39, 46, 48)( 49, 51)( 50, 52)( 53, 59, 69)( 54, 65, 75)( 55, 71, 61)
( 56, 73, 63)( 57, 66, 64)( 58, 72, 60)( 62, 68, 70)( 67, 74, 76)
( 77, 83, 93)( 78, 89, 99)( 79, 95, 85)( 80, 97, 87)( 81, 90, 88)
( 82, 96, 84)( 86, 92, 94)( 91, 98,100)(101,103)(102,104),
( 1, 30, 5, 37, 8, 33, 3, 42, 15, 45, 16, 41)( 2, 36, 10, 43, 14,
35, 4, 48, 20, 31, 22, 47)( 6, 44, 13, 46, 9, 26, 18, 34, 21, 38,
17, 28)( 7, 40, 23, 25, 12, 29, 19, 32, 11, 27, 24, 39)( 49, 52)
( 50, 51)( 53, 82, 57, 89, 60, 85, 55, 94, 67, 97, 68, 93)
( 54, 88, 62, 95, 66, 87, 56,100, 72, 83, 74, 99)( 58, 96, 65, 98, 61,
78, 70, 86, 73, 90, 69, 80)( 59, 92, 75, 77, 64, 81, 71, 84, 63, 79,
76, 91)(101,104)(102,103), ( 1, 53)( 2, 54)( 3, 55)( 4, 56)
( 5, 57)( 6, 58)( 7, 59)( 8, 60)( 9, 61)( 10, 62)( 11, 63)
( 12, 64)( 13, 65)( 14, 66)( 15, 67)( 16, 68)( 17, 69)( 18, 70)
( 19, 71)( 20, 72)( 21, 73)( 22, 74)( 23, 75)( 24, 76)( 25, 77)
( 26, 78)( 27, 79)( 28, 80)( 29, 81)( 30, 82)( 31, 83)( 32, 84)
( 33, 85)( 34, 86)( 35, 87)( 36, 88)( 37, 89)( 38, 90)( 39, 91)
( 40, 92)( 41, 93)( 42, 94)( 43, 95)( 44, 96)( 45, 97)( 46, 98)
( 47, 99)( 48,100)( 49,101)( 50,102)( 51,103)( 52,104) ],
[ ( 49, 50)( 99,100), ( 1,27,31,14,22, 4,42,23,15,37, 5,28,39,26,38,12,43,
40, 6,48)( 2,35,18,11,29, 7,46,32,21,30, 8,36,33, 3,44,16,47,45,10,17)
( 9,19,20,34)(13,24,25,41)(51,77,81,64,72,54,92,73,65,87,55,78,89,76,
88,62,93,90,56,98)(52,85,68,61,79,57,96,82,71,80,58,86,83,53,94,66,97,
95,60,67)(59,69,70,84)(63,74,75,91),
( 1,44,20,18,42,11)( 2,48,25,23,46,15)( 3, 5,29, 9,33,43)( 4,17,34,32,28,
21)( 6, 8,37,13,40,47)( 7,22,41,39,36,26)(10,12,30,19,45,27)
(14,16,38,24,31,35)(51,94,70,68,92,61)(52,98,75,73,96,65)
(53,55,79,59,83,93)(54,67,84,82,78,71)(56,58,87,63,90,97)
(57,72,91,89,86,76)(60,62,80,69,95,77)(64,66,88,74,81,85),
( 1, 51)( 2, 52)( 3, 53)( 4, 54)( 5, 55)( 6, 56)( 7, 57)( 8, 58)
( 9, 59)( 10, 60)( 11, 61)( 12, 62)( 13, 63)( 14, 64)( 15, 65)
( 16, 66)( 17, 67)( 18, 68)( 19, 69)( 20, 70)( 21, 71)( 22, 72)
( 23, 73)( 24, 74)( 25, 75)( 26, 76)( 27, 77)( 28, 78)( 29, 79)
( 30, 80)( 31, 81)( 32, 82)( 33, 83)( 34, 84)( 35, 85)( 36, 86)
( 37, 87)( 38, 88)( 39, 89)( 40, 90)( 41, 91)( 42, 92)( 43, 93)
( 44, 94)( 45, 95)( 46, 96)( 47, 97)( 48, 98)( 49, 99)( 50,100) ],
[ ( 1, 2)( 3,11,39,30,36,21)( 4,12,40,29,35,22)( 5,13,41,28,38,20)
( 6,14,42,27,37,19)( 7,25,34)( 8,26,33)( 9,24,31,10,23,32)(15,17)
(16,18)(43,44)(45,53,81,72,78,63)(46,54,82,71,77,64)(47,55,83,70,80,62)
(48,56,84,69,79,61)(49,67,76)(50,68,75)(51,66,73,52,65,74)(57,59)
(58,60), ( 1, 2)( 3,35,17)( 4,36,18)( 5,37,16)( 6,38,15)( 7,19,24)
( 8,20,23)( 9,21,25)(10,22,26)(11,27,33)(12,28,34)(13,30,32)(14,29,31)
(43,44)(45,77,59)(46,78,60)(47,79,58)(48,80,57)(49,61,66)(50,62,65)
(51,63,67)(52,64,68)(53,69,75)(54,70,76)(55,72,74)(56,71,73),
( 1, 2)( 3,37,40,16, 4,38,39,15)( 5,35,42,17, 6,36,41,18)( 7,20,27,31, 8,
19,28,32)( 9,21,30,34,10,22,29,33)(11,23,14,26,12,24,13,25)(43,44)
(45,79,82,58,46,80,81,57)(47,77,84,59,48,78,83,60)(49,62,69,73,50,61,
70,74)(51,63,72,76,52,64,71,75)(53,65,56,68,54,66,55,67),
( 1,43)( 2,44)( 3,45)( 4,46)( 5,47)( 6,48)( 7,49)( 8,50)( 9,51)(10,52)
(11,53)(12,54)(13,55)(14,56)(15,57)(16,58)(17,59)(18,60)(19,61)(20,62)
(21,63)(22,64)(23,65)(24,66)(25,67)(26,68)(27,69)(28,70)(29,71)(30,72)
(31,73)(32,74)(33,75)(34,76)(35,77)(36,78)(37,79)(38,80)(39,81)(40,82)
(41,83)(42,84) ],
[ ( 3, 30, 15, 6, 22, 36, 4, 29, 16, 5, 21, 35)( 7, 41, 39, 38, 33,
48, 8, 42, 40, 37, 34, 47)( 9, 20, 25, 13, 11, 45, 10, 19, 26, 14,
12, 46)( 17, 31, 49, 28, 24, 44, 18, 32, 50, 27, 23, 43)
( 53, 80, 65, 56, 72, 86, 54, 79, 66, 55, 71, 85)( 57, 91, 89, 88, 83,
98, 58, 92, 90, 87, 84, 97)( 59, 70, 75, 63, 61, 95, 60, 69, 76, 64,
62, 96)( 67, 81, 99, 78, 74, 94, 68, 82,100, 77, 73, 93),
( 3, 35, 48, 17, 12, 13, 4, 36, 47, 18, 11, 14)( 5, 10, 45, 44, 8,
21, 6, 9, 46, 43, 7, 22)( 15, 50, 32, 34, 38, 19, 16, 49, 31, 33,
37, 20)( 23, 28, 29, 25, 40, 42, 24, 27, 30, 26, 39, 41)
( 53, 85, 98, 67, 62, 63, 54, 86, 97, 68, 61, 64)( 55, 60, 95, 94, 58,
71, 56, 59, 96, 93, 57, 72)( 65,100, 82, 84, 88, 69, 66, 99, 81, 83,
87, 70)( 73, 78, 79, 75, 90, 92, 74, 77, 80, 76, 89, 91),
( 1, 2)( 3, 31, 11, 4, 32, 12)( 5, 49, 34, 6, 50, 33)
( 7, 45, 30, 8, 46, 29)( 9, 41, 21, 10, 42, 22)( 13, 40, 23, 14, 39,
24)( 15, 38, 43, 16, 37, 44)( 17, 36, 19, 18, 35, 20)( 25, 27, 47, 26,
28, 48)( 51, 52)( 53, 81, 61, 54, 82, 62)( 55, 99, 84, 56,100, 83)
( 57, 95, 80, 58, 96, 79)( 59, 91, 71, 60, 92, 72)( 63, 90, 73, 64, 89,
74)( 65, 88, 93, 66, 87, 94)( 67, 86, 69, 68, 85, 70)( 75, 77, 97, 76,
78, 98), ( 1, 51)( 2, 52)( 3, 53)( 4, 54)( 5, 55)( 6, 56)
( 7, 57)( 8, 58)( 9, 59)( 10, 60)( 11, 61)( 12, 62)( 13, 63)
( 14, 64)( 15, 65)( 16, 66)( 17, 67)( 18, 68)( 19, 69)( 20, 70)
( 21, 71)( 22, 72)( 23, 73)( 24, 74)( 25, 75)( 26, 76)( 27, 77)
( 28, 78)( 29, 79)( 30, 80)( 31, 81)( 32, 82)( 33, 83)( 34, 84)
( 35, 85)( 36, 86)( 37, 87)( 38, 88)( 39, 89)( 40, 90)( 41, 91)
( 42, 92)( 43, 93)( 44, 94)( 45, 95)( 46, 96)( 47, 97)( 48, 98)
( 49, 99)( 50,100) ],
[ ( 1, 3)( 2, 4)( 5, 16, 9, 19, 6, 15, 8, 17, 7, 18)
( 10, 22, 11, 21, 12, 20, 14, 23, 13, 24)( 25, 27)( 26, 28)
( 29, 40, 33, 43, 30, 39, 32, 41, 31, 42)( 34, 46, 35, 45, 36, 44, 38,
47, 37, 48)( 49, 52)( 50, 51)( 53, 55)( 54, 56)( 57, 68, 61, 71, 58,
67, 60, 69, 59, 70)( 62, 74, 63, 73, 64, 72, 66, 75, 65, 76)( 77, 79)
( 78, 80)( 81, 92, 85, 95, 82, 91, 84, 93, 83, 94)( 86, 98, 87, 97, 88,
96, 90, 99, 89,100)(101,104)(102,103),
( 1, 7, 17)( 2, 13, 23)( 3, 19, 9)( 4, 21, 11)( 5, 14, 12)
( 6, 20, 8)( 10, 16, 18)( 15, 22, 24)( 25, 31, 41)( 26, 37, 47)
( 27, 43, 33)( 28, 45, 35)( 29, 38, 36)( 30, 44, 32)( 34, 40, 42)
( 39, 46, 48)( 49, 51)( 50, 52)( 53, 59, 69)( 54, 65, 75)( 55, 71, 61)
( 56, 73, 63)( 57, 66, 64)( 58, 72, 60)( 62, 68, 70)( 67, 74, 76)
( 77, 83, 93)( 78, 89, 99)( 79, 95, 85)( 80, 97, 87)( 81, 90, 88)
( 82, 96, 84)( 86, 92, 94)( 91, 98,100)(101,103)(102,104),
( 1, 30, 5, 37, 8, 33, 3, 42, 15, 45, 16, 41)( 2, 36, 10, 43, 14,
35, 4, 48, 20, 31, 22, 47)( 6, 44, 13, 46, 9, 26, 18, 34, 21, 38,
17, 28)( 7, 40, 23, 25, 12, 29, 19, 32, 11, 27, 24, 39)( 49, 52)
( 50, 51)( 53, 94, 57, 97, 60, 93, 55, 82, 67, 89, 68, 85)
( 54,100, 62, 83, 66, 99, 56, 88, 72, 95, 74, 87)( 58, 86, 65, 90, 61,
80, 70, 96, 73, 98, 69, 78)( 59, 84, 75, 79, 64, 91, 71, 92, 63, 77,
76, 81)(101,104)(102,103), ( 1, 53)( 2, 54)( 3, 55)( 4, 56)
( 5, 57)( 6, 58)( 7, 59)( 8, 60)( 9, 61)( 10, 62)( 11, 63)
( 12, 64)( 13, 65)( 14, 66)( 15, 67)( 16, 68)( 17, 69)( 18, 70)
( 19, 71)( 20, 72)( 21, 73)( 22, 74)( 23, 75)( 24, 76)( 25, 77)
( 26, 78)( 27, 79)( 28, 80)( 29, 81)( 30, 82)( 31, 83)( 32, 84)
( 33, 85)( 34, 86)( 35, 87)( 36, 88)( 37, 89)( 38, 90)( 39, 91)
( 40, 92)( 41, 93)( 42, 94)( 43, 95)( 44, 96)( 45, 97)( 46, 98)
( 47, 99)( 48,100)( 49,101)( 50,102)( 51,103)( 52,104) ],
[ ( 49, 50)( 99,100), ( 1,27,31,14,22, 4,42,23,15,37, 5,28,39,26,38,12,43,
40, 6,48)( 2,35,18,11,29, 7,46,32,21,30, 8,36,33, 3,44,16,47,45,10,17)
( 9,19,20,34)(13,24,25,41)(51,77,81,64,72,54,92,73,65,87,55,78,89,76,
88,62,93,90,56,98)(52,85,68,61,79,57,96,82,71,80,58,86,83,53,94,66,97,
95,60,67)(59,69,70,84)(63,74,75,91),
( 1,44,20,18,42,11)( 2,48,25,23,46,15)( 3, 5,29, 9,33,43)( 4,17,34,32,28,
21)( 6, 8,37,13,40,47)( 7,22,41,39,36,26)(10,12,30,19,45,27)
(14,16,38,24,31,35)(51,79,70,83,92,53)(52,87,75,90,96,56)
(54,80,84,95,78,60)(55,94,59,68,93,61)(57,88,91,81,86,64)
(58,98,63,73,97,65)(62,67,69,82,77,71)(66,72,74,89,85,76),
( 1, 51)( 2, 52)( 3, 53)( 4, 54)( 5, 55)( 6, 56)( 7, 57)( 8, 58)
( 9, 59)( 10, 60)( 11, 61)( 12, 62)( 13, 63)( 14, 64)( 15, 65)
( 16, 66)( 17, 67)( 18, 68)( 19, 69)( 20, 70)( 21, 71)( 22, 72)
( 23, 73)( 24, 74)( 25, 75)( 26, 76)( 27, 77)( 28, 78)( 29, 79)
( 30, 80)( 31, 81)( 32, 82)( 33, 83)( 34, 84)( 35, 85)( 36, 86)
( 37, 87)( 38, 88)( 39, 89)( 40, 90)( 41, 91)( 42, 92)( 43, 93)
( 44, 94)( 45, 95)( 46, 96)( 47, 97)( 48, 98)( 49, 99)( 50,100) ],
[ ( 49, 50)( 99,100), ( 1,27,31,14,22, 4,42,23,15,37, 5,28,39,26,38,12,43,
40, 6,48)( 2,35,18,11,29, 7,46,32,21,30, 8,36,33, 3,44,16,47,45,10,17)
( 9,19,20,34)(13,24,25,41)(51,90,76,69,87,62,89,65,59,72,55,73,64,84,
98,54,81,56,70,88)(52,95,53,74,80,66,83,71,63,79,58,82,61,91,67,57,68,
60,75,94)(77,93,78,92)(85,97,86,96),
( 1,44,20,18,42,11)( 2,48,25,23,46,15)( 3, 5,29, 9,33,43)( 4,17,34,32,28,
21)( 6, 8,37,13,40,47)( 7,22,41,39,36,26)(10,12,30,19,45,27)
(14,16,38,24,31,35)(51,53,90,86,72,63)(52,56,95,93,79,69)
(54,60,81,97,87,74)(55,61,73,85,88,75)(57,64,68,77,80,70)
(58,65,82,92,94,84)(59,66,76,83,78,67)(62,71,89,96,98,91),
( 1, 51)( 2, 52)( 3, 53)( 4, 54)( 5, 55)( 6, 56)( 7, 57)( 8, 58)
( 9, 59)( 10, 60)( 11, 61)( 12, 62)( 13, 63)( 14, 64)( 15, 65)
( 16, 66)( 17, 67)( 18, 68)( 19, 69)( 20, 70)( 21, 71)( 22, 72)
( 23, 73)( 24, 74)( 25, 75)( 26, 76)( 27, 77)( 28, 78)( 29, 79)
( 30, 80)( 31, 81)( 32, 82)( 33, 83)( 34, 84)( 35, 85)( 36, 86)
( 37, 87)( 38, 88)( 39, 89)( 40, 90)( 41, 91)( 42, 92)( 43, 93)
( 44, 94)( 45, 95)( 46, 96)( 47, 97)( 48, 98)( 49, 99)( 50,100) ],
[ ( 49, 50)( 99,100), ( 1,27,31,14,22, 4,42,23,15,37, 5,28,39,26,38,12,43,
40, 6,48)( 2,35,18,11,29, 7,46,32,21,30, 8,36,33, 3,44,16,47,45,10,17)
( 9,19,20,34)(13,24,25,41)(51,90,76,69,87,62,89,65,59,72,55,73,64,84,
98,54,81,56,70,88)(52,95,53,74,80,66,83,71,63,79,58,82,61,91,67,57,68,
60,75,94)(77,93,78,92)(85,97,86,96),
( 1,44,20,18,42,11)( 2,48,25,23,46,15)( 3, 5,29, 9,33,43)( 4,17,34,32,28,
21)( 6, 8,37,13,40,47)( 7,22,41,39,36,26)(10,12,30,19,45,27)
(14,16,38,24,31,35)(51,61,90,85,72,75)(52,65,95,92,79,84)
(53,73,86,88,63,55)(54,71,81,96,87,91)(56,82,93,94,69,58)
(57,76,68,78,80,59)(60,89,97,98,74,62)(64,83,77,67,70,66),
( 1, 51)( 2, 52)( 3, 53)( 4, 54)( 5, 55)( 6, 56)( 7, 57)( 8, 58)
( 9, 59)( 10, 60)( 11, 61)( 12, 62)( 13, 63)( 14, 64)( 15, 65)
( 16, 66)( 17, 67)( 18, 68)( 19, 69)( 20, 70)( 21, 71)( 22, 72)
( 23, 73)( 24, 74)( 25, 75)( 26, 76)( 27, 77)( 28, 78)( 29, 79)
( 30, 80)( 31, 81)( 32, 82)( 33, 83)( 34, 84)( 35, 85)( 36, 86)
( 37, 87)( 38, 88)( 39, 89)( 40, 90)( 41, 91)( 42, 92)( 43, 93)
( 44, 94)( 45, 95)( 46, 96)( 47, 97)( 48, 98)( 49, 99)( 50,100) ],
[ ( 49, 50)( 99,100), ( 1,27,31,14,22, 4,42,23,15,37, 5,28,39,26,38,12,43,
40, 6,48)( 2,35,18,11,29, 7,46,32,21,30, 8,36,33, 3,44,16,47,45,10,17)
( 9,19,20,34)(13,24,25,41)(51,90,76,69,87,62,89,65,59,72,55,73,64,84,
98,54,81,56,70,88)(52,95,53,74,80,66,83,71,63,79,58,82,61,91,67,57,68,
60,75,94)(77,93,78,92)(85,97,86,96),
( 1,44,20,18,42,11)( 2,48,25,23,46,15)( 3, 5,29, 9,33,43)( 4,17,34,32,28,
21)( 6, 8,37,13,40,47)( 7,22,41,39,36,26)(10,12,30,19,45,27)
(14,16,38,24,31,35)(51,61,90,85,72,75)(52,65,95,92,79,84)
(53,73,86,88,63,55)(54,71,81,96,87,91)(56,82,93,94,69,58)
(57,76,68,78,80,59)(60,89,97,98,74,62)(64,83,77,67,70,66),
( 1, 51, 5, 55)( 2, 52, 8, 58)( 3, 53, 11, 61)( 4, 54, 12, 62)
( 6, 56, 15, 65)( 7, 57, 16, 66)( 9, 59, 20, 70)( 10, 60, 21, 71)
( 13, 63, 25, 75)( 14, 64, 26, 76)( 17, 67, 30, 80)( 18, 68, 33, 83)
( 19, 69, 34, 84)( 22, 72, 38, 88)( 23, 73, 40, 90)( 24, 74, 41, 91)
( 27, 77, 28, 78)( 29, 79, 44, 94)( 31, 81, 39, 89)( 32, 82, 45, 95)
( 35, 85, 36, 86)( 37, 87, 48, 98)( 42, 92, 43, 93)( 46, 96, 47, 97)
( 49, 99)( 50,100) ],
[ ( 49, 50)( 99,100), ( 1,27,31,14,22, 4,42,23,15,37, 5,28,39,26,38,12,43,
40, 6,48)( 2,35,18,11,29, 7,46,32,21,30, 8,36,33, 3,44,16,47,45,10,17)
( 9,19,20,34)(13,24,25,41)(51,90,76,69,87,62,89,65,59,72,55,73,64,84,
98,54,81,56,70,88)(52,95,53,74,80,66,83,71,63,79,58,82,61,91,67,57,68,
60,75,94)(77,93,78,92)(85,97,86,96),
( 1,44,20,18,42,11)( 2,48,25,23,46,15)( 3, 5,29, 9,33,43)( 4,17,34,32,28,
21)( 6, 8,37,13,40,47)( 7,22,41,39,36,26)(10,12,30,19,45,27)
(14,16,38,24,31,35)(51,53,90,86,72,63)(52,56,95,93,79,69)
(54,60,81,97,87,74)(55,61,73,85,88,75)(57,64,68,77,80,70)
(58,65,82,92,94,84)(59,66,76,83,78,67)(62,71,89,96,98,91),
( 1, 51, 5, 55)( 2, 52, 8, 58)( 3, 53, 11, 61)( 4, 54, 12, 62)
( 6, 56, 15, 65)( 7, 57, 16, 66)( 9, 59, 20, 70)( 10, 60, 21, 71)
( 13, 63, 25, 75)( 14, 64, 26, 76)( 17, 67, 30, 80)( 18, 68, 33, 83)
( 19, 69, 34, 84)( 22, 72, 38, 88)( 23, 73, 40, 90)( 24, 74, 41, 91)
( 27, 77, 28, 78)( 29, 79, 44, 94)( 31, 81, 39, 89)( 32, 82, 45, 95)
( 35, 85, 36, 86)( 37, 87, 48, 98)( 42, 92, 43, 93)( 46, 96, 47, 97)
( 49, 99)( 50,100) ],
[ ( 49, 50)( 51, 55)( 52, 58)( 53, 61)( 54, 62)( 56, 65)( 57, 66)( 59, 70)
( 60, 71)( 63, 75)( 64, 76)( 67, 80)( 68, 83)( 69, 84)( 72, 88)
( 73, 90)( 74, 91)( 77, 78)( 79, 94)( 81, 89)( 82, 95)( 85, 86)
( 87, 98)( 92, 93)( 96, 97)( 99,100),
( 1,27,31,14,22, 4,42,23,15,37, 5,28,39,26,38,12,43,40, 6,48)
( 2,35,18,11,29, 7,46,32,21,30, 8,36,33, 3,44,16,47,45,10,17)
( 9,19,20,34)(13,24,25,41)(51,77,81,64,72,54,92,73,65,87,55,78,89,76,
88,62,93,90,56,98)(52,85,68,61,79,57,96,82,71,80,58,86,83,53,94,66,97,
95,60,67)(59,69,70,84)(63,74,75,91),
( 1,44,20,18,42,11)( 2,48,25,23,46,15)( 3, 5,29, 9,33,43)( 4,17,34,32,28,
21)( 6, 8,37,13,40,47)( 7,22,41,39,36,26)(10,12,30,19,45,27)
(14,16,38,24,31,35)(51,94,70,68,92,61)(52,98,75,73,96,65)
(53,55,79,59,83,93)(54,67,84,82,78,71)(56,58,87,63,90,97)
(57,72,91,89,86,76)(60,62,80,69,95,77)(64,66,88,74,81,85),
( 1, 51)( 2, 52)( 3, 53)( 4, 54)( 5, 55)( 6, 56)( 7, 57)( 8, 58)
( 9, 59)( 10, 60)( 11, 61)( 12, 62)( 13, 63)( 14, 64)( 15, 65)
( 16, 66)( 17, 67)( 18, 68)( 19, 69)( 20, 70)( 21, 71)( 22, 72)
( 23, 73)( 24, 74)( 25, 75)( 26, 76)( 27, 77)( 28, 78)( 29, 79)
( 30, 80)( 31, 81)( 32, 82)( 33, 83)( 34, 84)( 35, 85)( 36, 86)
( 37, 87)( 38, 88)( 39, 89)( 40, 90)( 41, 91)( 42, 92)( 43, 93)
( 44, 94)( 45, 95)( 46, 96)( 47, 97)( 48, 98)( 49, 99)( 50,100) ],
[ ( 1, 2)( 3,11,39,30,36,21)( 4,12,40,29,35,22)( 5,13,41,28,38,20)
( 6,14,42,27,37,19)( 7,25,34)( 8,26,33)( 9,24,31,10,23,32)(15,17)
(16,18)(43,44)(45,54,81,71,78,64)(46,53,82,72,77,63)(47,56,83,69,80,61)
(48,55,84,70,79,62)(49,68,76,50,67,75)(51,65,73)(52,66,74)(57,60)
(58,59), ( 1, 2)( 3,35,17)( 4,36,18)( 5,37,16)( 6,38,15)( 7,19,24)
( 8,20,23)( 9,21,25)(10,22,26)(11,27,33)(12,28,34)(13,30,32)(14,29,31)
(43,44)(45,78,59,46,77,60)(47,80,58,48,79,57)(49,62,66,50,61,65)
(51,64,67,52,63,68)(53,70,75,54,69,76)(55,71,74,56,72,73)(81,82)(83,84)
, ( 1, 2)( 3,37,40,16, 4,38,39,15)( 5,35,42,17, 6,36,41,18)
( 7,20,27,31, 8,19,28,32)( 9,21,30,34,10,22,29,33)(11,23,14,26,12,24,
13,25)(43,44)(45,80,82,57,46,79,81,58)(47,78,84,60,48,77,83,59)
(49,61,69,74,50,62,70,73)(51,64,72,75,52,63,71,76)(53,66,56,67,54,65,
55,68), ( 1,43)( 2,44)( 3,45)( 4,46)( 5,47)( 6,48)( 7,49)( 8,50)
( 9,51)(10,52)(11,53)(12,54)(13,55)(14,56)(15,57)(16,58)(17,59)(18,60)
(19,61)(20,62)(21,63)(22,64)(23,65)(24,66)(25,67)(26,68)(27,69)(28,70)
(29,71)(30,72)(31,73)(32,74)(33,75)(34,76)(35,77)(36,78)(37,79)(38,80)
(39,81)(40,82)(41,83)(42,84) ],
[ ( 3, 8)( 5,13)( 6,16)(10,21)(11,23)(14,26)(19,35)(20,37)(22,31)(28,42)
(33,40)(38,44)(51,56)(53,61)(54,64)(58,69)(59,71)(62,74)(67,83)(68,85)
(70,79)(76,90)(81,88)(86,92), ( 1,28,15, 6, 7, 3)( 2,35,24,21,12, 5)
( 4,13,34,19, 9,10)( 8,48,42,29,16,18)(11,43,44,45,31,17)
(14,36,20,46,40,25)(22,32,23,27,38,39)(26,47,37,30,33,41)
(49,88,60,86,82,74)(50,62,96,81,52,92)(51,57,90,93,68,75)
(53,63,79,73,71,66)(54,94,58,65,83,95)(55,61,77,70,89,59)
(56,72,76,87,85,91)(64,78,69,80,67,84),
( 1,39,25,36,30,17, 7,24,12,34,48,45,41,47,46,32,18, 9, 4, 2)
( 3,42,37,21,44,31,23,13,26,16, 8,28,20,10,38,22,11, 5,14, 6)
(15,43,29,27)(19,40,35,33)(49,52,50,72,77,80,95,94,73,91,96,60,82,57,
63,65,84,78,89,75)(51,90,64,88,53,70,59,92,67,68,56,76,54,81,61,79,71,
86,83,85)(55,87,66,93)(58,74,69,62),
( 1,49)( 2,50)( 3,51)( 4,52)( 5,53)( 6,54)( 7,55)( 8,56)( 9,57)(10,58)
(11,59)(12,60)(13,61)(14,62)(15,63)(16,64)(17,65)(18,66)(19,67)(20,68)
(21,69)(22,70)(23,71)(24,72)(25,73)(26,74)(27,75)(28,76)(29,77)(30,78)
(31,79)(32,80)(33,81)(34,82)(35,83)(36,84)(37,85)(38,86)(39,87)(40,88)
(41,89)(42,90)(43,91)(44,92)(45,93)(46,94)(47,95)(48,96) ],
[ ( 3, 30, 15, 6, 22, 36, 4, 29, 16, 5, 21, 35)( 7, 41, 39, 38, 33,
48, 8, 42, 40, 37, 34, 47)( 9, 20, 25, 13, 11, 45, 10, 19, 26, 14,
12, 46)( 17, 31, 49, 28, 24, 44, 18, 32, 50, 27, 23, 43)
( 53, 80, 65, 56, 72, 86, 54, 79, 66, 55, 71, 85)( 57, 91, 89, 88, 83,
98, 58, 92, 90, 87, 84, 97)( 59, 70, 75, 63, 61, 95, 60, 69, 76, 64,
62, 96)( 67, 81, 99, 78, 74, 94, 68, 82,100, 77, 73, 93),
( 3, 35, 48, 17, 12, 13, 4, 36, 47, 18, 11, 14)( 5, 10, 45, 44, 8,
21, 6, 9, 46, 43, 7, 22)( 15, 50, 32, 34, 38, 19, 16, 49, 31, 33,
37, 20)( 23, 28, 29, 25, 40, 42, 24, 27, 30, 26, 39, 41)
( 53, 85, 98, 67, 62, 63, 54, 86, 97, 68, 61, 64)( 55, 60, 95, 94, 58,
71, 56, 59, 96, 93, 57, 72)( 65,100, 82, 84, 88, 69, 66, 99, 81, 83,
87, 70)( 73, 78, 79, 75, 90, 92, 74, 77, 80, 76, 89, 91),
( 1, 2)( 3, 31, 11, 4, 32, 12)( 5, 49, 34, 6, 50, 33)
( 7, 45, 30, 8, 46, 29)( 9, 41, 21, 10, 42, 22)( 13, 40, 23, 14, 39,
24)( 15, 38, 43, 16, 37, 44)( 17, 36, 19, 18, 35, 20)( 25, 27, 47, 26,
28, 48)( 51, 52)( 53, 82, 61)( 54, 81, 62)( 55,100, 84)( 56, 99, 83)
( 57, 96, 80)( 58, 95, 79)( 59, 92, 71)( 60, 91, 72)( 63, 89, 73)
( 64, 90, 74)( 65, 87, 93)( 66, 88, 94)( 67, 85, 69)( 68, 86, 70)
( 75, 78, 97)( 76, 77, 98), ( 1, 51)( 2, 52)( 3, 53)( 4, 54)
( 5, 55)( 6, 56)( 7, 57)( 8, 58)( 9, 59)( 10, 60)( 11, 61)
( 12, 62)( 13, 63)( 14, 64)( 15, 65)( 16, 66)( 17, 67)( 18, 68)
( 19, 69)( 20, 70)( 21, 71)( 22, 72)( 23, 73)( 24, 74)( 25, 75)
( 26, 76)( 27, 77)( 28, 78)( 29, 79)( 30, 80)( 31, 81)( 32, 82)
( 33, 83)( 34, 84)( 35, 85)( 36, 86)( 37, 87)( 38, 88)( 39, 89)
( 40, 90)( 41, 91)( 42, 92)( 43, 93)( 44, 94)( 45, 95)( 46, 96)
( 47, 97)( 48, 98)( 49, 99)( 50,100) ],
[ ( 1, 66, 34, 37, 5, 52, 59, 18)( 2, 43, 51, 54, 9, 68, 77, 30)
( 3, 49, 32, 20, 12, 27, 15, 7)( 4, 84, 58, 62, 13, 78, 82, 36)
( 6, 23, 70, 72, 17, 45, 89, 47)( 8, 67, 76, 79, 21, 85, 93, 53)
( 10, 29, 61, 22, 25, 14, 35, 42)( 11, 73, 55, 38, 26, 48, 31, 19)
( 16, 44, 88, 90, 33, 69, 96, 71)( 24, 50, 83, 41, 46, 28, 60, 65)
( 39, 56, 74, 86, 40, 57, 75, 87)( 63, 80, 91, 94, 64, 81, 92, 95)
( 97,148,130,114,101,162,155,133)( 98,164,147,126,105,139,173,150)
( 99,123,128,103,108,145,111,116)(100,174,154,132,109,180,178,158)
(102,141,166,143,113,119,185,168)(104,181,172,149,117,163,189,175)
(106,110,157,138,121,125,131,118)(107,144,151,115,122,169,127,134)
(112,165,184,167,129,140,192,186)(120,124,179,161,142,146,156,137)
(135,153,170,183,136,152,171,182)(159,177,187,191,160,176,188,190),
( 1, 93, 10, 95, 5, 76, 25, 94)( 2, 96, 18, 63, 9, 88, 37, 64)
( 3, 19, 15, 48, 12, 38, 32, 73)( 4, 77, 24, 87, 13, 51, 46, 86)
( 6, 41, 30, 80, 17, 65, 54, 81)( 7, 31, 27, 26, 20, 55, 49, 11)
( 8, 89, 36, 39, 21, 70, 62, 40)( 14, 58, 47, 91, 29, 82, 72, 92)
( 16, 22, 53, 56, 33, 42, 79, 57)( 23, 67, 66, 83, 45, 85, 52, 60)
( 28, 34, 71, 74, 50, 59, 90, 75)( 35, 44, 43, 84, 61, 69, 68, 78)
( 97,172,106,190,101,189,121,191)( 98,184,114,160,105,192,133,159)
( 99,134,111,169,108,115,128,144)(100,147,120,182,109,173,142,183)
(102,161,126,177,113,137,150,176)(103,151,123,107,116,127,145,122)
(104,166,132,136,117,185,158,135)(110,178,143,188,125,154,168,187)
(112,138,149,153,129,118,175,152)(119,181,162,156,141,163,148,179)
(124,155,167,171,146,130,186,170)(131,165,139,174,157,140,164,180),
( 1, 96)( 2, 41)( 3, 95)( 4, 70)( 5, 88)( 6, 58)( 7, 63)( 8, 42)
( 9, 65)( 10, 53)( 11, 86)( 12, 94)( 13, 89)( 14, 76)( 15, 80)
( 16, 59)( 17, 82)( 18, 71)( 19, 40)( 20, 64)( 21, 22)( 23, 84)
( 24, 54)( 25, 79)( 26, 87)( 27, 91)( 28, 77)( 29, 93)( 30, 46)
( 31, 57)( 32, 81)( 33, 34)( 35, 67)( 36, 72)( 37, 90)( 38, 39)
( 43, 83)( 44, 52)( 45, 78)( 47, 62)( 48, 75)( 49, 92)( 50, 51)
( 55, 56)( 60, 68)( 61, 85)( 66, 69)( 73, 74)( 97,192)( 98,137)
( 99,191)(100,166)(101,184)(102,154)(103,159)(104,138)(105,161)
(106,149)(107,182)(108,190)(109,185)(110,172)(111,176)(112,155)
(113,178)(114,167)(115,136)(116,160)(117,118)(119,180)(120,150)
(121,175)(122,183)(123,187)(124,173)(125,189)(126,142)(127,153)
(128,177)(129,130)(131,163)(132,168)(133,186)(134,135)(139,179)
(140,148)(141,174)(143,158)(144,171)(145,188)(146,147)(151,152)
(156,164)(157,181)(162,165)(169,170),
( 1, 97)( 2, 98)( 3, 99)( 4,100)( 5,101)( 6,102)( 7,103)( 8,104)
( 9,105)( 10,106)( 11,107)( 12,108)( 13,109)( 14,110)( 15,111)
( 16,112)( 17,113)( 18,114)( 19,115)( 20,116)( 21,117)( 22,118)
( 23,119)( 24,120)( 25,121)( 26,122)( 27,123)( 28,124)( 29,125)
( 30,126)( 31,127)( 32,128)( 33,129)( 34,130)( 35,131)( 36,132)
( 37,133)( 38,134)( 39,135)( 40,136)( 41,137)( 42,138)( 43,139)
( 44,140)( 45,141)( 46,142)( 47,143)( 48,144)( 49,145)( 50,146)
( 51,147)( 52,148)( 53,149)( 54,150)( 55,151)( 56,152)( 57,153)
( 58,154)( 59,155)( 60,156)( 61,157)( 62,158)( 63,159)( 64,160)
( 65,161)( 66,162)( 67,163)( 68,164)( 69,165)( 70,166)( 71,167)
( 72,168)( 73,169)( 74,170)( 75,171)( 76,172)( 77,173)( 78,174)
( 79,175)( 80,176)( 81,177)( 82,178)( 83,179)( 84,180)( 85,181)
( 86,182)( 87,183)( 88,184)( 89,185)( 90,186)( 91,187)( 92,188)
( 93,189)( 94,190)( 95,191)( 96,192) ],
[ ( 3, 4)( 5, 6)( 7,25,22,14,20)( 8,26,21,13,19)( 9,24,17,11,15)
(10,23,18,12,16)(33,34)(35,36)(37,55,52,44,50)(38,56,51,43,49)
(39,54,47,41,45)(40,53,48,42,46),
( 3, 5)( 4, 6)( 7,20,14,22,25)( 8,19,13,21,26)( 9,15,11,17,24)
(10,16,12,18,23)(33,35)(34,36)(37,50,44,52,55)(38,49,43,51,56)
(39,45,41,47,54)(40,46,42,48,53),
( 1, 2)( 3, 5)( 4, 6)( 7,26,28)( 8,25,27)( 9,23,30)(10,24,29)(11,21,19)
(12,22,20)(13,18,16)(14,17,15)(31,32)(33,35)(34,36)(37,56,58)(38,55,57)
(39,53,60)(40,54,59)(41,51,49)(42,52,50)(43,48,46)(44,47,45),
( 1,31)( 2,32)( 3,33)( 4,34)( 5,35)( 6,36)( 7,37)( 8,38)( 9,39)(10,40)
(11,41)(12,42)(13,43)(14,44)(15,45)(16,46)(17,47)(18,48)(19,49)(20,50)
(21,51)(22,52)(23,53)(24,54)(25,55)(26,56)(27,57)(28,58)(29,59)(30,60)
],
[ ( 1,11,13,23, 9)( 3,16,17,18,14)( 4, 5,19,21,15)( 8,10,22,24,20)(25,28)
(26,27)(29,39,41,51,37)(31,44,45,46,42)(32,33,47,49,43)(36,38,50,52,48)
(53,56)(54,55), ( 1,20,21,17,11, 8,15,18,13,10, 4,14,23,22, 5, 3, 9,24,
19,16)( 2,12, 7, 6)(25,28)(26,27)(29,48,49,45,39,36,43,46,41,38,32,42,
51,50,33,31,37,52,47,44)(30,40,35,34)(53,56)(54,55),
( 1,22,10, 3,13,11, 4,17,16, 8,19, 5)( 2,24, 9, 6,23,14, 7,18,15,12,21,20
)(25,26)(27,28)(29,50,38,31,41,39,32,45,44,36,47,33)(30,52,37,34,51,
42,35,46,43,40,49,48)(53,54)(55,56),
( 1,29)( 2,30)( 3,31)( 4,32)( 5,33)( 6,34)( 7,35)( 8,36)( 9,37)(10,38)
(11,39)(12,40)(13,41)(14,42)(15,43)(16,44)(17,45)(18,46)(19,47)(20,48)
(21,49)(22,50)(23,51)(24,52)(25,53)(26,54)(27,55)(28,56) ],
[ ( 1,11,13,23, 9)( 3,16,17,18,14)( 4, 5,19,21,15)( 8,10,22,24,20)(25,28)
(26,27)(29,52,42,47,35)(30,32,46,48,41)(31,51,43,50,40)(34,36,49,37,45)
(53,56)(54,55), ( 1,20,21,17,11, 8,15,18,13,10, 4,14,23,22, 5, 3, 9,24,
19,16)( 2,12, 7, 6)(25,28)(26,27)(29,40,41,37,52,31,30,45,42,51,32,34,
47,43,46,36,35,50,48,49)(33,38,39,44)(53,56)(54,55),
( 1,22,10, 3,13,11, 4,17,16, 8,19, 5)( 2,24, 9, 6,23,14, 7,18,15,12,21,20
)(25,26)(27,28)(29,30,41,36,40,50,32,35,47,31,34,45)(33,49,48,44,46,
43,39,51,42,38,52,37)(53,54)(55,56),
( 1,29)( 2,30)( 3,31)( 4,32)( 5,33)( 6,34)( 7,35)( 8,36)( 9,37)(10,38)
(11,39)(12,40)(13,41)(14,42)(15,43)(16,44)(17,45)(18,46)(19,47)(20,48)
(21,49)(22,50)(23,51)(24,52)(25,53)(26,54)(27,55)(28,56) ],
[ ( 1,11,13,23, 9)( 3,16,17,18,14)( 4, 5,19,21,15)( 8,10,22,24,20)(25,28)
(26,27)(29,52,42,47,35)(30,32,46,48,41)(31,51,43,50,40)(34,36,49,37,45)
(53,56)(54,55), ( 1,20,21,17,11, 8,15,18,13,10, 4,14,23,22, 5, 3, 9,24,
19,16)( 2,12, 7, 6)(25,28)(26,27)(29,40,41,37,52,31,30,45,42,51,32,34,
47,43,46,36,35,50,48,49)(33,38,39,44)(53,56)(54,55),
( 1,22,10, 3,13,11, 4,17,16, 8,19, 5)( 2,24, 9, 6,23,14, 7,18,15,12,21,20
)(25,26)(27,28)(29,30,41,36,40,50,32,35,47,31,34,45)(33,49,48,44,46,
43,39,51,42,38,52,37)(53,54)(55,56),
( 1,29, 4,32)( 2,30, 7,35)( 3,31, 8,36)( 5,33,11,39)( 6,34,12,40)
( 9,37,15,43)(10,38,16,44)(13,41,19,47)(14,42,20,48)(17,45,22,50)
(18,46,24,52)(21,49,23,51)(25,53)(26,54)(27,55)(28,56) ],
[ ( 1,11,13,23, 9)( 3,16,17,18,14)( 4, 5,19,21,15)( 8,10,22,24,20)(25,28)
(26,27)(29,33,41,49,37,32,39,47,51,43)(30,35)(31,38,45,52,42,36,44,50,
46,48)(34,40)(53,56)(54,55),
( 1,20,21,17,11, 8,15,18,13,10, 4,14,23,22, 5, 3, 9,24,19,16)
( 2,12, 7, 6)(25,28)(26,27)(29,42,49,50,39,31,43,52,41,44,32,48,51,45,
33,36,37,46,47,38)(30,34,35,40)(53,56)(54,55),
( 1,22,10, 3,13,11, 4,17,16, 8,19, 5)( 2,24, 9, 6,23,14, 7,18,15,12,21,20
)(25,26)(27,28)(29,45,38,36,41,33,32,50,44,31,47,39)(30,46,37,40,51,
48,35,52,43,34,49,42)(53,54)(55,56),
( 1,29)( 2,30)( 3,31)( 4,32)( 5,33)( 6,34)( 7,35)( 8,36)( 9,37)(10,38)
(11,39)(12,40)(13,41)(14,42)(15,43)(16,44)(17,45)(18,46)(19,47)(20,48)
(21,49)(22,50)(23,51)(24,52)(25,53)(26,54)(27,55)(28,56) ],
[ ( 49, 50)( 51, 56)( 52, 60)( 53, 65)( 54, 67)( 55, 69)( 57, 73)( 58, 75)
( 59, 77)( 61, 80)( 62, 84)( 63, 85)( 64, 79)( 66, 68)( 70, 88)
( 71, 90)( 72, 92)( 74, 76)( 78, 81)( 82, 94)( 83, 93)( 86, 96)
( 87, 98)( 89, 91)( 95, 97)( 99,100),
( 1,17, 6, 4)( 2,13,39,48,12,25, 3,42,47,44,10,35,41,37,34, 8,15,22,45,32
)( 5,16,19,18)( 7,46,28, 9,11,40,38,33,24,14,23,36,31,27,30,21,20,43,
26,29)(51,67,56,54)(52,63,89,98,62,75,53,92,97,94,60,85,91,87,84,58,
65,72,95,82)(55,66,69,68)(57,96,78,59,61,90,88,83,74,64,73,86,81,77,
80,71,70,93,76,79), ( 1,41,20,16, 7,45, 6,39,38,18,23,47)
( 2,12,30,24,31,15,10,34,11,26,28, 3)( 4,22,36,19,21,48,17,42,46, 5,40,
37)( 8,44,14,27,33,13,25,32,29, 9,43,35)(51,91,70,66,57,95,56,89,88,
68,73,97)(52,62,80,74,81,65,60,84,61,76,78,53)(54,72,86,69,71,98,67,
92,96,55,90,87)(58,94,64,77,83,63,75,82,79,59,93,85),
( 1, 51)( 2, 52)( 3, 53)( 4, 54)( 5, 55)( 6, 56)( 7, 57)( 8, 58)
( 9, 59)( 10, 60)( 11, 61)( 12, 62)( 13, 63)( 14, 64)( 15, 65)
( 16, 66)( 17, 67)( 18, 68)( 19, 69)( 20, 70)( 21, 71)( 22, 72)
( 23, 73)( 24, 74)( 25, 75)( 26, 76)( 27, 77)( 28, 78)( 29, 79)
( 30, 80)( 31, 81)( 32, 82)( 33, 83)( 34, 84)( 35, 85)( 36, 86)
( 37, 87)( 38, 88)( 39, 89)( 40, 90)( 41, 91)( 42, 92)( 43, 93)
( 44, 94)( 45, 95)( 46, 96)( 47, 97)( 48, 98)( 49, 99)( 50,100) ],
[ ( 1,17, 6, 5)( 2, 3,21,19,43,25,31, 7,33,28,10,14,18,37,27, 9,13,22,35,11
)( 4,32,15,16)( 8,12,39,36,48,40,44,20,45,41,23,29,34,47,42,24,30,38,
46,26)(49,59,70,83,79,53,75,66,85,51,54,76,55,81,61,65,91,69,67,62)
(50,57,58,73)(52,74,86,94,92,64,90,82,95,60,63,89,68,93,78,80,96,87,84,
77)(56,72,71,88), ( 1,27,35, 6,43,33)( 2,14,18,10, 3,21)( 4,48,46)
( 5,28,37,17,11,19)( 7,25,13,22, 9,31)( 8,12,34)(15,42,45)(16,26,47)
(20,24,30)(23,29,39)(32,41,36)(38,40,44)(49,59,55,54,76,70)
(50,79,85,58,61,67)(51,81,73,62,83,57)(52,89,68)(53,75,69,65,91,66)
(56,78,95)(60,94,88)(63,74,86)(64,96,87)(71,92,84)(72,77,93)(80,90,82),
( 1,36,14,34,10,16,33,44,22,40)( 2,32,35,30, 7,24, 6,47, 3,39)
( 4,37,29,21,23,17,45,13,38, 9)( 5,46,31,20,25,15,19,12,18, 8)(11,42)
(26,43)(27,41)(28,48)(49,72,67,96,69,64,50,94,76,86)(51,78)
(52,73,84,75,87,65,56,81,89,55)(53,71,83,74,70,63,57,95,91,82)
(54,88,85,90,66,80,58,93,59,68)(60,79)(61,77)(62,92),
( 1,49, 6,54)( 2,50,10,58)( 3,51,14,62)( 4,52,15,63)( 5,53,17,65)
( 7,55,22,70)( 8,56,23,71)( 9,57,25,73)(11,59,28,76)(12,60,29,77)
(13,61,31,79)(16,64,32,80)(18,66,21,69)(19,67,37,85)(20,68,38,86)
(24,72,40,88)(26,74,41,89)(27,75,43,91)(30,78,44,92)(33,81,35,83)
(34,82,39,87)(36,84,47,95)(42,90,48,96)(45,93,46,94) ],
[ ( 1, 3, 7)( 2, 4, 8)( 5,11,10)( 6,12, 9)(13,14,15),
( 1, 3)( 2,11, 6,15)( 4,13, 5, 9)( 7,12,16,10) ],
[ ( 1, 4, 2)( 3,10, 6)( 5,12, 7)( 8,11,13)( 9,16,14),
( 1, 8, 4, 7, 3)( 2,15,10, 9, 5)( 6,16,14,13,11)(17,18) ],
[ ( 1, 5,11)( 2, 6,10)( 3, 7, 9)( 4, 8,12)(13,14,15)(17,20,19),
( 1, 8,16,17, 9, 4, 7,14,18,12)( 2, 6,13,19,11, 3, 5,15,20,10) ],
[ ( 1, 2)( 3, 8, 5)( 4, 6)( 7, 9,10), ( 1, 6, 3)( 2, 7, 4)( 5, 9)( 8,10) ],
[ ( 1, 2)( 3,10, 7, 4, 9, 5), ( 1, 5, 9, 8, 4, 2, 7,10, 6, 3) ],
[ ( 1,12, 2, 6, 3, 4,10, 5, 9, 7)( 8,11),
( 1, 4)( 2,10, 3, 9, 8, 5,12, 7, 6,11) ],
[ ( 2, 7,12,15, 9)( 3, 8,13, 6, 5)(10,16,17,21,20)(11,18,22,19,14),
( 1,14,18)( 2,11, 7)( 3, 5,16)( 4,10,17)( 6,23, 8)( 9,24,12)(13,19,22)
(15,20,21) ],
[ ( 1, 2,16)( 3, 8,13)( 4,15,10)( 5, 6,14)( 7, 9,11)(17,22,31)(18,36,28)
(19,26,37)(20,25,29)(21,35,24)(23,30,38)(27,39,33)(32,40,34),
( 1, 8,16,12,15)( 2,14, 6, 9,10)( 3, 5, 4,11,13)(17,26,29,21,36,20,30,31,
18,35)(19,39,28,32,37,23,40,24,27,38)(22,25)(33,34) ],
[ ( 1, 3)( 5, 6, 7, 8)( 9,17,11,19)(10,20,12,18)(13,25,14,28)(15,27,16,26)
(21,31,22,29)(23,32,24,30)(33,37,34,40)(35,39,36,38),
( 1,13,34)( 2,14,35)( 3,16,36)( 4,15,33)( 5,39,17)( 6,38,19)( 7,40,18)
( 8,37,20)( 9,30,28)(10,31,25)(11,32,27)(12,29,26)(21,22,24) ],
[ ( 1, 3)( 2, 8, 5,10)( 4, 9)( 6, 7)(11,16,14,19)(12,23,15,25)(13,29,17,30)
(18,20,22,24)(21,32,26,31)(27,34,28,33),
( 1, 8, 7)( 3,10, 4)(11,19,15)(12,14,16)(13,23,24)(17,25,20)(18,30,26)
(21,22,29)(27,32,34)(28,31,33) ],
[ ( 1,28,46,57,53, 3, 9,66,73,51)( 2,58,65,49,39, 8,41,77,25,33)
( 4,34,71,78,40,12,31,70,64,55)( 5,36,45,63,27,13,32,23,74,43)
( 6,35,69,62,26,14,37,68,75,50)( 7,17,38,56,61,24,15,19,72,44)
(10,67,60,52,18,29,47,76,54,21)(11,59,79,22,20,30,48,80,42,16),
( 1,32,20,31, 3,36,16,34)( 2,17,37,21, 8,15,35,18)( 4, 9, 6,38,12,28,14,
19)( 5,29,33,30,13,10,39,11)( 7,60,40,65,24,76,55,77)(22,44,49,74,42,
61,25,63)(23,46,41,59,45,66,58,48)(26,62,54,79,50,75,52,80)
(27,64,51,57,43,78,53,73)(47,70,72,68,67,71,56,69) ],
[ ( 1,32)( 2,24, 3,31, 5,27)( 4,28)( 6,15)( 7,17,13,18,20,16)
( 8,11,12,21,22, 9)(10,26,14,30,23,29)(19,25),
( 1,29, 2,15,16)( 3, 9,31,26,19)( 4,14,20,30,24)( 5,22,11,25,21)
( 6,27,10,32, 8)( 7,28,13,23,18) ] ];