permgen:= 
[ [ ( 7,39)( 8,19)( 9,16)(10,22)(11,48)(12,36)(13,34)(14,17)(15,29)(18,24)
        (20,21)(23,46)(25,30)(26,31)(27,32)(28,47)(33,41)(35,44)(37,38)(40,43)
        (42,50)(45,49), ( 7,46)( 8,13)( 9,10)(11,48)(12,28)(14,18)(15,38)
        (16,22)(17,24)(19,34)(20,44)(21,35)(23,39)(25,30)(26,31)(27,32)(29,37)
        (33,49)(36,47)(40,42)(41,45)(43,50), ( 1,27,28,12,25)( 2,35, 8,43,14)
        ( 3,38,40,19,33)( 4,30,36,47,32)( 5,18, 7,22,21)( 6,49,10,39,15)
        ( 9,37,48,20,50)(11,41,23,13,24)(16,42,45,31,17)(26,29,34,46,44) ], 
  [ ( 7,10,15, 9, 8,41,44,43), ( 7,10)( 8,41)( 9,44)(11,47)(12,48)(13,49)
        (14,50)(15,43)(16,45)(17,46)(18,37)(19,38)(20,39)(21,40)(22,42)(23,32)
        (24,33)(25,34)(26,35)(27,36)(28,30)(29,31), 
      ( 2,33, 6,24)( 3,22, 5,42)( 7,43,44,41, 8, 9,15,10)(11,12,48,47)
        (13,30,46,27)(14,20,45,38)(16,39,50,19)(17,28,49,36)(18,25,40,32)
        (21,34,37,23)(26,29,31,35), 
      ( 2,48,33,47, 6,11,24,12)( 3,26,22,29, 5,31,42,35)( 7,15, 8,44)
        ( 9,41,43,10)(13,36,30,17,46,28,27,49)(14,16,20,39,45,50,38,19)
        (18,34,25,37,40,23,32,21), 
      ( 1,17,16,11,12,14,13)( 2,46,23,42,25,49, 6)( 3,19,34,24,32,20, 5)
        ( 4,38,27,31,35,28,39)( 7, 9,44,10, 8,43,15,41)(18,21,26,50,33,45,29)
        (22,36,47,40,37,48,30) ], 
  [ ( 9,10)(11,12)(13,29)(14,38)(16,36)(17,25)(18,23)(19,45)(20,31)(21,30)
        (22,42)(40,48), ( 9,19,42,12,10,45,22,11)(13,18,25,40,29,23,17,48)
        (14,16,31,21,38,36,20,30), ( 9,42,10,22)(11,19,12,45)(13,25,29,17)
        (14,31,38,20)(16,21,36,30)(18,40,23,48), 
      ( 1,21, 7,14)( 2,30, 6,38)( 3,36, 4,20)( 5,31, 8,16)( 9,35,19,46)
        (10,39,45,50)(11,15,42,41)(12,24,22,32)(13,47)(17,28,25,43)
        (18,34,48,26)(23,49,40,44)(27,37)(29,33), 
      ( 1,24)( 2,15)( 3,46)( 4,35)( 5,39)( 6,41)( 7,32)( 8,50)( 9,38)(10,14)
        (11,36)(12,16)(13,25)(17,29)(19,21)(20,22)(26,44)(27,37)(28,43)(30,45)
        (31,42)(33,47)(34,49)(40,48) ], 
  [ ( 2,26, 8,50,34,48)( 3, 5,11,29,32,35)( 4,37,20)( 6,41,38,16,33,39)
        ( 7,42,40,47,46,36)( 9,10)(12,27,19,15,31,22)(13,14,43,45,30,28)
        (17,25)(18,24)(23,49,44), ( 2,38)( 3,29)( 4,20)( 5,11)( 6, 8)( 7,27)
        (12,42)(13,45)(14,43)(15,46)(16,48)(17,18)(19,36)(22,40)(23,49)(24,25)
        (26,41)(28,30)(31,47)(32,35)(33,34)(39,50), 
      ( 1,45,44,13)( 2,23,50, 4)( 3,21,29,37)( 5,33, 6,43)( 7,27,18,17)
        ( 8,34,11,14)( 9,10)(12,15,46,42)(16,41,32,28)(19,22,40,36)
        (20,39,49,38)(24,31,47,25)(26,48,30,35) ], 
  [ ( 7, 8)( 9,24)(10,15)(13,26)(14,27)(16,30)(17,25)(19,22)(20,48)(21,47)
        (31,42)(32,46)(33,40)(35,39)(36,49)(37,43), 
      ( 7,24, 8, 9)(10,22,15,19)(13,30,26,16)(14,25,27,17)(20,21,48,47)
        (31,33,42,40)(32,36,46,49)(35,37,39,43), 
      ( 1,25,37, 4,42,13)( 2,32,33, 3,48,14)( 5,39,49, 6,30,21)( 8,10,15)
        ( 9,24,19)(11,12,50,18,23,45)(16,47,41,35,36,29)(17,43,44,31,26,34)
        (20,27,28,46,40,38), ( 1,36,20,44,21,32)( 2,27,35,41,37,25)
        ( 3,40,16,29,13,42)( 4,47,46,34,49,48)( 5,43,17,28,14,39)
        ( 6,26,31,38,33,30)( 7,24, 8,22,15,19)( 9,10)(11,23)(12,18) ], 
  [ (), ( 2,48)( 3,26)( 5,31)( 6,11)( 7,10)( 8,41)( 9,44)(12,39)(13,29)(17,19)
        (18,40)(20,32)(21,36)(22,25)(23,43)(24,35)(30,50)(33,46)(34,47)(37,45)
        (38,49), ( 1, 3)( 2, 4)( 5, 6)( 7,10)( 8,41)( 9,44)(11,40)(12,49)
        (13,24)(14,32)(17,47)(18,31)(19,33)(21,39)(22,28)(27,43)(29,37)(30,42)
        (34,46)(35,45)(36,38), ( 1,15)( 2, 5)( 3,20)( 4,42)( 6,17)( 8,49)
        ( 9,35)(11,19)(12,29)(13,39)(14,16)(18,23)(21,45)(22,33)(24,44)(25,46)
        (26,32)(27,28)(30,47)(31,48)(34,50)(36,37)(38,41)(40,43), 
      ( 1,18)( 4,40)( 5,48)( 6,26)( 7,10)( 8,41)( 9,44)(12,13)(14,34)(15,43)
        (16,30)(19,20)(21,39)(23,42)(24,35)(25,33)(27,50)(28,47)(29,37)(36,45)
        (38,49) ], 
  [ (), ( 1,30,18)( 2,41, 5, 6,39, 3)( 4,50,28)( 7, 9,36,35, 8,25)
        (10,26,46,37,13,32)(11,22,48,45,47,14)(12,29)(15,23,31,44,42,49)
        (16,40)(17,33,38)(19,21)(20,43)(24,27,34), 
      ( 1,33, 4,27)( 2,31, 5,12)( 3,29, 6,49)( 7,32,35,46)( 8,13, 9,26)(10,36)
        (11,47,48,40)(14,16,45,22)(15,19,42,39)(17,30,18,34)(20,43)
        (21,23,41,44)(24,50,28,38)(25,37), 
      ( 1,50,17)( 3,41,21)( 4,30,24)( 5,39,19)( 7, 9,36)( 8,25,35)(10,13,32)
        (12,15,31)(14,22,16)(18,33,34)(26,46,37)(27,38,28)(29,44,49)
        (40,48,47) ], 
  [ ( 7, 8)( 9,39)(10,48)(11,37)(12,21)(14,24)(15,23)(16,35)(17,36)(22,32)
        (25,30)(26,46)(27,45)(28,38)(29,41)(33,34)(40,50)(42,49)(43,44), 
      ( 7, 8)( 9,48)(10,29)(11,20)(13,32)(14,15)(16,18)(17,19)(21,31)(23,34)
        (24,33)(25,40)(26,27)(28,47)(30,42)(39,41)(43,46)(44,45)(49,50), 
      ( 1, 6)( 4, 5)( 7, 8)( 9,23)(10,33)(11,16)(12,22)(13,31)(14,41)(15,39)
        (17,28)(18,20)(19,47)(21,32)(24,29)(25,44)(26,49)(27,50)(30,43)(34,48)
        (35,37)(36,38)(40,45)(42,46), ( 1,38,47,28)( 4,22,13,32)( 5,12,31,21)
        ( 6,36,19,17)( 7, 8)( 9,39,24,14)(10,33)(11,37,16,35)(15,29,41,23)
        (18,20)(25,44)(26,40,50,46)(27,42,49,45)(30,43)(34,48) ], 
  [ (), ( 7,37)( 8,22)( 9,42)(10,15)(11,27)(13,44)(14,46)(16,31)(17,36)(18,49)
        (20,28)(21,41)(25,35)(26,32)(30,33)(34,47)(38,45)(39,48), 
      ( 1, 4)( 2, 3)( 5, 6)( 7, 8)(10,15)(11,17)(13,32)(14,21)(18,47)(20,45)
        (22,37)(23,43)(25,30)(26,44)(27,36)(28,38)(29,50)(33,35)(34,49)(39,48)
        (41,46), ( 1,29)( 2,23)( 3,43)( 4,50)( 7,18)( 8,47)(10,48)(11,36)
        (12,24)(13,32)(14,25)(15,39)(17,27)(19,40)(20,38)(21,30)(22,34)(26,44)
        (28,45)(33,41)(35,46)(37,49), ( 1,30)( 2,33)( 3,46)( 4,14)( 7,17)
        ( 8,38)( 9,15)(10,31)(11,49)(12,44)(13,19)(16,39)(18,20)(21,23)(22,36)
        (24,32)(25,43)(26,40)(27,47)(28,34)(29,41)(35,50)(37,45)(42,48) ], 
  [ (), ( 9,31)(10,34)(11,47)(12,48)(13,49)(14,50)(15,44)(16,45)(17,46)(18,43)
        (19,37)(20,38)(21,39)(22,40)(23,41)(24,42)(25,32)(26,33)(27,35)(28,36)
        (29,30), ( 2, 6)( 3, 5)( 9,39)(10,26)(11,43)(12,48)(13,32)(14,28)
        (16,37)(17,22)(18,47)(19,45)(20,30)(21,31)(23,41)(25,49)(27,35)(29,38)
        (33,34)(36,50)(40,46), ( 1,15,22,30,46, 3)( 2, 4,24,29,40,20)
        ( 5,42,38, 6,44,17)( 7, 8)( 9,47,23,13,21,10)(11,41,32,34,39,26)
        (12,45)(14,37)(16,48,19,28,27,50)(18,49,31)(25,33,43)(35,36) ], 
  [ (), ( 2, 6)( 3, 5)( 7,40)( 8,20)( 9,32)(10,38)(12,26)(13,27)(14,35)(15,36)
        (16,49)(17,50)(18,48)(19,39)(21,41)(22,24)(23,46)(25,45)(29,47)(30,42)
        (31,44), ( 2,10)( 3,45)( 4,11)( 5,31)( 6, 9)( 7,13)( 8,16)(12,15)
        (14,24)(17,44)(19,47)(20,50)(21,32)(22,36)(23,34)(25,49)(26,40)(27,35)
        (28,43)(29,41)(37,48)(38,39), ( 2,19,21)( 3,16,17)( 5,50,49)( 6,41,39)
        ( 7,14,15)( 8,45,44)( 9,38,29)(10,32,47)(12,24,13)(18,37,48)(20,31,25)
        (22,26,27)(23,46,34)(35,40,36), 
      ( 2,21,19)( 3,17,16)( 5,49,50)( 6,39,41)( 7,15,14)( 8,44,45)( 9,29,38)
        (10,47,32)(12,13,24)(18,48,37)(20,25,31)(22,27,26)(23,34,46)(35,36,40)
        , ( 2,29)( 3,20)( 4,11)( 5, 8)( 6,47)( 7,22)( 9,19)(10,41)(12,35)
        (13,36)(14,26)(15,27)(16,31)(17,25)(21,38)(24,40)(28,43)(30,42)(32,39)
        (44,49)(45,50), ( 2,32)( 3,44)( 4,11)( 5,25)( 6,38)( 7,12)( 8,17)
        ( 9,41)(10,19)(13,14)(15,24)(16,45)(18,37)(20,49)(21,47)(22,35)(26,36)
        (27,40)(28,43)(29,39)(31,50)(34,46), 
      ( 2,38,19,29,21, 9)( 3,25,16,20,17,31)( 4,11)( 5,44,50, 8,49,45)
        ( 6,32,41,47,39,10)( 7,27,14,22,15,26)(12,36,24,35,13,40)(18,48,37)
        (23,34,46)(28,43)(30,42), ( 2,39)( 3,49)( 5,17)( 6,21)( 7,35)( 8,25)
        ( 9,10)(12,22)(13,26)(14,36)(15,40)(16,50)(18,37)(19,41)(20,44)(24,27)
        (29,32)(30,42)(31,45)(34,46)(38,47), 
      ( 2,41)( 3,50)( 5,16)( 6,19)( 7,36)( 8,31)( 9,47)(10,29)(12,27)(13,22)
        (14,40)(15,35)(17,49)(20,45)(21,39)(23,34)(24,26)(25,44)(30,42)(32,38)
        (37,48), ( 1,23)( 3,14)( 4,37)( 5,19)( 6, 7)( 8,41)( 9,17)(10,25)
        (11,18)(12,38)(13,44)(15,24)(16,45)(20,36)(21,22)(26,49)(28,34)(29,39)
        (33,48)(35,47)(43,46), ( 1,33)( 2, 7)( 3,20)( 4,28)( 5, 8)( 6,40)
        ( 9,27)(10,12)(11,43)(13,32)(14,21)(15,19)(16,25)(17,31)(18,23)(22,29)
        (24,47)(26,38)(30,42)(34,37)(35,41)(36,39)(44,50)(45,49)(46,48) ], 
  [ (), ( 1, 4)( 2, 3)( 5, 6)( 7,41)( 8,10)( 9,16)(11,13)(12,25)(14,32)(15,43)
        (17,38)(19,36)(20,49)(21,30)(22,48)(24,34)(26,37)(27,39)(29,46)(33,42)
        (35,44)(45,50), ( 1,50,32,27, 2,13,29,21)( 3,39,14,45, 4,30,46,11)
        ( 5,24)( 6,34)( 7,12,48,44,10,37,38,19)( 8,35,22,25,41,36,17,26)
        ( 9,18,16,15,20,47,49,43)(23,31)(28,40)(33,42) ], 
  [ ( 9,10)(11,45)(12,34)(14,49)(16,47)(19,44)(22,41)(25,31), 
      ( 9,11)(10,45)(12,25)(13,46)(14,16)(15,48)(17,50)(18,40)(19,22)(20,42)
        (21,43)(23,38)(24,39)(26,35)(27,36)(28,37)(29,32)(30,33)(31,34)(41,44)
        (47,49), ( 9,19,41,45,10,44,22,11)(12,25,47,14,34,31,16,49), 
      ( 9,41,10,22)(11,19,45,44)(12,47,34,16)(14,31,49,25), 
      ( 9,44)(10,19)(11,22)(12,49)(13,46)(14,34)(15,48)(16,25)(17,50)(18,40)
        (20,42)(21,43)(23,38)(24,39)(26,35)(27,36)(28,37)(29,32)(30,33)(31,47)
        (41,45), ( 3, 8)( 4, 7)( 5, 6)( 9,11,22,44,10,45,41,19)
        (12,49,16,31,34,14,47,25)(13,50)(15,48)(17,46)(18,38)(20,43)(21,42)
        (23,40)(24,39)(26,37)(27,36)(28,35)(29,33)(30,32), 
      ( 3,36, 8,27)( 4,15, 7,48)( 5,39, 6,24)( 9,44,41,11,10,19,22,45)
        (12,31,47,49,34,25,16,14)(13,46,50,17)(18,32,38,30)(20,42,43,21)
        (23,29,40,33)(26,28,37,35), 
      ( 3,46,36,50, 8,17,27,13)( 4,42,15,43, 7,21,48,20)( 5,37,39,35, 6,26,24,
         28)( 9,10)(11,45)(12,34)(14,49)(16,47)(18,23,32,29,38,40,30,33)
        (19,44)(22,41)(25,31), 
      ( 3,50,27,46, 8,13,36,17)( 4,43,48,42, 7,20,15,21)( 5,35,24,37, 6,28,39,
         26)( 9,22,10,41)(11,44,45,19)(12,16,34,47)(14,25,49,31)
        (18,29,30,23,38,33,32,40), 
      ( 1, 2)( 3, 5)( 4, 7)( 6, 8)( 9,12,22,16,10,34,41,47)(11,49,44,31,45,14,
         19,25)(13,37)(17,35)(18,40)(20,21)(23,38)(24,36)(26,50)(27,39)(28,46)
        (29,32)(30,33)(42,43) ], 
  [ ( 1,12)( 2, 8)( 3,20)( 4,39)( 5,44)( 6,18)( 7, 9)(10,40)(11,48)(13,47)
        (14,15)(16,42)(17,21)(19,23)(22,33)(24,30)(25,37)(26,27)(28,38)(29,32)
        (31,34)(41,45)(43,49)(46,50), ( 1,16,43,30)( 2,40, 3,24)( 4,32,38,26)
        ( 5,20)( 6,37,48,41)( 7,33,12,44)( 8,17,15,34)( 9,10,47,18)
        (11,14,27,28)(13,31,25,35)(19,36,42,50)(21,49,23,39)(22,45,29,46), 
      ( 1,28,20,14,43,13,50,41, 7, 4, 2, 8,39, 9,45,46,47,49,15, 3,38,12,37,
         36,25)( 5,32,18,42,31,21,24,11,33,22,48,30,17,34,16, 6,29,44,27,40,
         23,35,19,10,26) ], 
  [ ( 7, 8)( 9,43)(10,41)(12,25)(13,20)(15,44)(16,31)(18,28)(21,37)(23,34)
        (26,50)(32,47)(36,40)(38,46), ( 7,15, 8,44)( 9,41,43,10)(12,38,25,46)
        (13,47,20,32)(16,18,31,28)(21,23,37,34)(26,36,50,40), 
      ( 2, 6)( 3, 5)( 7, 8)( 9,43)(10,41)(11,48)(12,47)(13,46)(14,45)(15,44)
        (16,50)(17,49)(18,40)(19,39)(20,38)(21,37)(22,42)(23,34)(24,33)(25,32)
        (26,31)(27,30)(28,36)(29,35), ( 2,24)( 3,42)( 5,22)( 6,33)( 7,10)
        ( 8,41)( 9,44)(11,48)(12,47)(13,38)(14,39)(15,43)(17,30)(18,28)(19,45)
        (20,46)(23,34)(25,32)(27,49)(36,40), 
      ( 2,33)( 3,22)( 5,42)( 6,24)( 7,41)( 8,10)( 9,15)(13,20)(14,19)(16,50)
        (17,27)(18,36)(21,37)(26,31)(28,40)(29,35)(30,49)(38,46)(39,45)(43,44)
        , ( 1, 4)( 2, 3)( 5, 6)(11,29)(12,36)(13,31)(14,30)(16,20)(17,19)
        (18,32)(21,37)(22,24)(23,34)(25,40)(26,46)(27,45)(28,47)(33,42)(35,48)
        (38,50)(39,49) ], 
  [ ( 6,30,11,36)( 7,19,34,22)( 8,44,40,46)( 9,31,35,13)(12,27,15,49)
        (24,41,39,29)(32,33,38,37)(42,43,48,47), 
      ( 6,36,11,30)( 7,22,34,19)( 8,46,40,44)( 9,13,35,31)(12,49,15,27)
        (24,29,39,41)(32,37,38,33)(42,47,48,43), 
      ( 2, 5)( 3, 4)( 6,29)( 7,42)( 8,13)( 9,46)(10,14)(11,41)(12,37)(15,33)
        (16,18)(19,47)(20,21)(22,43)(23,28)(24,36)(25,26)(27,38)(30,39)(31,40)
        (32,49)(34,48)(35,44)(45,50), ( 1,16)( 2,23)( 3,26)( 4,10)( 5,45)
        ( 6,31)( 7,42)( 8,32)( 9,30)(11,13)(12,24)(14,25)(15,39)(17,20)(19,47)
        (22,43)(27,29)(28,50)(33,46)(34,48)(35,36)(37,44)(38,40)(41,49), 
      ( 1,17)( 2,23)( 3,14)( 4,10)( 5,28)( 6,29,36,39,11,41,30,24)
        ( 7,42,22,47,34,48,19,43)( 8,32,46,37,40,38,44,33)( 9,49,13,15,35,27,
         31,12)(16,20)(18,21)(25,26)(45,50), 
      ( 1,20)( 3,25)( 5,50)( 6,15)( 7,19)( 8,44)( 9,39)(11,12)(13,29)(14,26)
        (16,17)(18,21)(22,34)(24,35)(27,30)(28,45)(31,41)(32,38)(36,49)(40,46)
        (42,48) ], 
  [ ( 7, 8)( 9,48)(10,29)(12,36)(14,44)(15,45)(16,42)(17,31)(18,50)(19,41)
        (21,26)(22,38)(23,46)(24,30)(25,35)(27,33)(34,39)(37,43), 
      ( 7,15, 8,45)( 9,29,48,10)(12,17,36,31)(14,16,44,42)(18,46,50,23)
        (19,33,41,27)(21,30,26,24)(22,25,38,35)(34,43,39,37), 
      ( 2, 6)( 3, 5)( 7, 8)( 9,36)(10,17)(11,49)(12,48)(13,47)(14,46)(15,45)
        (16,50)(18,42)(19,41)(20,40)(21,39)(22,38)(23,44)(24,43)(25,35)(26,34)
        (27,33)(28,32)(29,31)(30,37), ( 2,49)( 3,28)( 5,32)( 6,11)( 9,18)
        (10,46)(12,16)(14,17)(15,45)(19,38)(21,30)(22,41)(23,29)(24,26)(25,33)
        (27,35)(31,44)(34,43)(36,42)(37,39)(48,50), 
      ( 1, 4)( 2, 3)( 5, 6)( 7,45)( 8,15)(10,29)(11,32)(13,40)(16,42)(17,31)
        (18,50)(19,35)(20,47)(21,34)(22,27)(24,43)(25,41)(26,39)(28,49)(30,37)
        (33,38) ], 
  [ ( 7, 8)( 9,15)(10,22)(11,26)(12,31)(13,32)(14,17)(16,28)(18,49)(20,25)
        (21,45)(23,29)(27,30)(33,44)(34,50)(35,38)(36,43)(39,47)(46,48), 
      ( 1,32, 5,13)( 2, 9, 3,15)( 4,39, 6,47)( 7,27)( 8,30)(10,38,48,36)
        (11,33,49,25)(12,19,31,42)(14,17)(16,34,45,29)(18,44,26,20)
        (21,50,28,23)(22,43,46,35)(24,40) ], 
  [ (), ( 1,28)( 3, 8)( 4,42)( 5,38)( 6,37)( 7,15)( 9,40)(10,45)(12,17)(13,44)
        (14,19)(16,48)(18,22)(20,33)(21,43)(23,26)(24,29)(25,27)(30,32)(34,46)
        (36,50)(41,47), ( 1,40)( 2,11)( 3,32)( 4,44)( 5,36)( 6,21)( 7,16)
        ( 8,30)( 9,28)(10,19)(12,23)(13,42)(14,45)(15,48)(17,26)(20,29)(24,33)
        (25,47)(27,41)(31,49)(37,43)(38,50) ], 
  [ (), ( 1, 8)( 3,28)( 4,25)( 5,31)( 6,33)( 7,48)( 9,26)(10,20)(11,32)(12,44)
        (13,18)(14,42)(15,43)(16,17)(19,47)(22,50)(27,34)(29,36)(30,37)(38,41)
        (39,46)(40,45), ( 1,45,18,35,13,40, 8,23)( 2,47, 4,21,25,19)
        ( 3, 7,17,12, 5, 6,50,41,15,26,36,29, 9,43,38,22,33,31,44,16,48,28,20,
         10)(11,32,30,14,42,37)(24,39,27,49,34,46) ], 
  [ ( 7, 8)( 9,15)(10,34)(11,14)(12,31)(16,18)(17,36)(20,33)(22,32)(23,37)
        (24,44)(25,38)(26,45)(27,42)(29,49)(30,48)(39,47)(40,41)(46,50), 
      ( 7, 8)( 9,34)(10,24)(11,33)(12,21)(13,32)(14,37)(15,44)(17,19)(18,35)
        (20,23)(25,46)(27,50)(28,39)(29,30)(38,42)(40,49)(41,48)(43,45), 
      ( 2,12)( 4,45)( 5,39)( 6,32)( 7,49)( 8,48)( 9,16)(10,15)(11,50)(13,22)
        (14,46)(17,18)(19,44)(20,42)(21,31)(23,38)(24,35)(26,43)(28,47)(29,40)
        (30,41)(34,36), ( 1, 3)( 2, 4)( 5, 6)( 9,15)(10,34)(11,46)(12,26)
        (13,28)(14,50)(16,18)(17,36)(20,27)(21,43)(22,39)(23,25)(24,44)(29,48)
        (30,49)(31,45)(32,47)(33,42)(37,38), 
      ( 1, 5)( 2, 3)( 4, 6)( 9,15)(10,34)(11,40)(12,31)(13,19)(14,41)(16,45)
        (17,22)(18,26)(20,48)(23,49)(24,44)(25,42)(27,38)(29,37)(30,33)(32,36)
        (35,43)(39,47) ], 
  [ (), ( 3,25)( 4,46)( 5,20)( 6,41)( 7,16)( 8,36)(10,35)(11,26)(13,43)(14,47)
        (15,27)(18,30)(19,29)(21,40)(23,38)(24,44)(28,33)(32,49)(34,48)(39,42)
        (45,50), ( 3,36)( 4,16)( 5,41)( 6,20)( 7,46)( 8,25)(10,11)(12,22)
        (13,43)(14,48)(15,27)(17,31)(19,50)(21,33)(23,38)(26,35)(28,40)(29,45)
        (32,42)(34,47)(39,49), 
      ( 1, 7, 5, 8, 2, 3, 6, 4)( 9,14,20,11,37,35,41,34)(10,22,46,24,47,17,36,
         18)(12,26,30,25,31,48,44,16)(13,29,33,32,15,39,40,50)(19,43,45,21,42,
         27,49,28), ( 1, 9)( 2,37)( 3,10)( 4,48)( 7,47)( 8,26)(11,36)(12,17)
        (13,27)(14,16)(15,43)(19,39)(21,33)(22,31)(23,38)(25,35)(28,40)(29,42)
        (32,45)(34,46)(49,50), ( 1,18)( 2,24)( 3, 7)( 4,11)( 5,31)( 6,12)
        ( 8,34)( 9,30)(10,16)(13,28)(14,35)(15,21)(17,41)(19,50)(20,22)(23,38)
        (25,47)(26,48)(27,33)(29,49)(32,42)(36,46)(37,44)(39,45)(40,43) ], 
  [ ( 9,44)(10,46)(11,43)(12,26)(13,14)(15,27)(16,49)(17,23)(18,30)(21,34)
        (24,31)(25,35)(28,41)(29,36)(32,39)(33,38)(37,47)(42,45), 
      ( 3, 8)( 4, 7)( 5, 6)( 9,44)(10,49)(11,43)(12,23)(13,38)(14,33)(15,27)
        (16,46)(17,26)(18,21)(19,22)(24,36)(29,31)(30,34)(32,39)(37,42)(45,47)
        (48,50), ( 1, 3)( 2, 8)( 4, 5)( 9,44)(10,46)(11,43)(12,15)(13,38)
        (14,33)(16,36)(17,32)(18,45)(19,48)(23,39)(24,31)(26,27)(29,49)(30,42)
        , ( 1,36,46, 2,16,24)( 3,29,31, 8,49,10)( 4, 9, 6, 5,44, 7)
        (11,50,48,43,22,19)(12,23)(13,37,45,14,21,30)(15,27,17,39,32,26)
        (18,33,47,42,38,34)(25,35)(28,41), 
      ( 1,49,10)( 2,29,31)( 3,16,24)( 4, 9, 6)( 5,44, 7)( 8,36,46)(11,50,19)
        (12,32,15)(13,47,18)(14,34,42)(21,45,38)(22,48,43)(23,27,39)
        (30,33,37) ], 
  [ ( 7, 9)( 8,33)(10,15)(11,42)(12,41)(13,30)(18,46)(22,32)(23,48)(24,36)
        (25,39)(34,35), ( 7,33,30,10, 9, 8,13,15)(11,22,24,12,42,32,36,41)
        (18,34,48,25,46,35,23,39), ( 3,29)( 4,47)( 5,19)( 6,43)( 7,10)( 8,13)
        ( 9,15)(11,22)(12,36)(14,31)(16,28)(17,45)(18,46)(20,26)(21,50)(24,41)
        (25,34)(27,37)(30,33)(32,42)(35,39)(38,44), 
      ( 1, 6)( 4, 5)( 7,30)( 9,13)(10,15)(12,32)(14,43)(17,28)(18,25)(19,37)
        (20,49)(21,45)(22,41)(23,35)(24,36)(26,31)(27,44)(29,50)(34,48)(39,46)
        , ( 1,20)( 3,16)( 4,27)( 5,44)( 6,49)( 8,10)(11,36)(13,30)(14,26)
        (15,33)(17,29)(18,34)(22,32)(23,25)(24,42)(28,50)(31,43)(35,46)(38,47)
        (39,48), ( 1,31,49,14)( 3,21,16,45)( 4,27,44, 5)( 6,43,20,26)
        ( 7,13, 9,30)( 8,10,33,15)(11,36,42,24)(12,22,41,32)(17,28,50,29)
        (18,23,46,48)(19,38,37,47)(25,34,39,35), 
      ( 1,35,20,18)( 2,40)( 3,41,16,12)( 4, 8,27,15)( 5,10,44,33)( 6,46,49,34)
        ( 7,47, 9,38)(11,17,24,29)(13,19)(14,25,26,48)(21,22)(23,31,39,43)
        (28,42,50,36)(30,37)(32,45), ( 1,49)( 3,16)( 4,44)( 5,27)( 6,20)
        ( 7, 8,30,15, 9,33,13,10)(11,32,24,41,42,22,36,12)(14,31)(17,50)
        (18,35,48,39,46,34,23,25)(19,37)(21,45)(26,43)(28,29)(38,47) ], 
  [ ( 7,27)( 8,13)( 9,43)(10,38)(11,28)(12,33)(14,35)(15,22)(16,50)(19,45)
        (20,25)(21,26)(23,49)(24,31)(29,47)(32,48)(34,42)(40,46), 
      ( 1, 4)( 2,17)( 3,36)( 5,30)( 6,41)( 7,42,27,34)( 8,15,13,22)
        ( 9,29,43,47)(10,28,38,11)(12,20,33,25)(14,48,35,32)(16,19,50,45)
        (18,37)(21,24,26,31)(23,40,49,46)(39,44), 
      ( 1, 9)( 2,27)( 3,47)( 4,34)( 6,20)( 7,36)( 8,23)(10,48)(11,35)(12,37)
        (14,19)(15,40)(16,21)(17,29)(18,25)(24,45)(26,38)(28,31)(32,50)(33,41)
        (39,43)(42,44), ( 1,28,36,11)( 2,45,39,19)( 3,21,44,26)( 4,32,17,48)
        ( 6,20,18,25)( 7,31, 9,35)( 8,13,23,49)(10,29,50,34)(12,33)
        (14,43,24,27)(15,40)(16,47,38,42)(22,46)(37,41) ], 
  [ (), ( 2,17)( 3,37)( 4,29)( 5,31)( 6,38)( 7,20)( 8,34)(10,16)(11,19)(13,44)
        (14,41)(15,39)(18,42)(21,50)(23,33)(25,32)(27,30)(35,36)(46,48)(47,49)
        , ( 1,22)( 2,47)( 3,37)( 4,29)( 5,16)( 7,13)( 8,34)( 9,12)(10,31)
        (11,19)(14,18)(15,50)(17,49)(20,44)(21,39)(23,32)(24,28)(25,33)(27,30)
        (35,36)(41,42)(46,48), ( 1,49,17,22, 2,47)( 3,48,29)( 4,46,37)
        ( 5,28,31,10,24,16)( 6,38)( 7,39,33,44,50,32)( 8,26,34)( 9,12)
        (11,19,45)(13,23,15,20,25,21)(14,42)(18,41)(27,30,43)(35,36,40) ], 
  [ ( 1, 4)( 2, 3)( 5, 6)( 7,38)( 8,28)( 9,19)(10,46)(11,39)(12,47)(13,36)
        (14,21)(15,24)(16,50)(17,22)(18,31)(20,34)(23,26)(25,33)(27,40)(29,32)
        (30,43)(35,49)(37,41)(42,44)(45,48), 
      ( 1,25,27,41,34,11)( 2,30,50,45, 5, 7)( 3,43,16,48, 6,38)
        ( 4,33,40,37,20,39)( 8,12,31,28,47,18)( 9,14,42,26,15,22)(10,35)
        (13,29)(17,19,21,44,23,24)(32,36)(46,49), 
      ( 1,36,20,45, 5, 7)( 2,23,40,14,16,11)( 3,26,27,21,50,39)
        ( 4,13,34,48, 6,38)( 8,47,35)( 9,37,32,25,15,22)(10,18)(12,49,28)
        (17,19,41,29,33,24)(30,44)(31,46)(42,43) ], 
  [ ( 2, 6)( 3, 5)(10,14)(11,29)(12,18)(13,15)(16,36)(19,34)(21,32)(22,27)
        (23,42)(24,50)(25,33)(26,37)(28,45)(30,39)(31,47)(35,40)(43,48)(44,49)
        , ( 1,13,31,10)( 2,15,11,21)( 3,49,27,28)( 4,44,40,24)( 5, 9,25,39)
        ( 6,41,42,36)( 7, 8)(12,46,26,43)(14,33,45,29)(16,35,30,47)
        (17,48,20,19)(18,34,37,38)(22,50,23,32), 
      ( 1,16)( 2,14)( 3,50)( 4,30)( 5,45)( 6,32)( 7, 8)( 9,35)(10,27)(11,24)
        (12,37)(13,29)(15,23)(17,20)(18,26)(19,46)(21,25)(22,44)(28,42)(31,39)
        (33,49)(36,40)(38,48)(41,47), ( 1,27,22)( 2,40,33)( 3,31,23)( 4,11,29)
        ( 5,42,47)( 6,25,35)( 9,32,21)(10,44,16)(12,18,20)(13,30,24)(14,36,49)
        (15,50,39)(17,37,26)(28,41,45), ( 1,32,22, 9,27,21)( 2,16,33,44,40,10)
        ( 3,30,23,13,31,24)( 4,45,29,41,11,28)( 5,50,47,15,42,39)
        ( 6,14,35,49,25,36)( 7, 8)(12,26,20,37,18,17)(19,34)(43,48), 
      ( 1,33,25)( 2,35,27)( 3,47,11)( 4,23,42)( 5,29,31)( 6,22,40)( 9,49,44)
        (10,21,36)(12,18,20)(13,41,15)(14,16,32)(17,37,26)(19,46,34)(24,28,39)
        (30,45,50)(38,43,48) ], 
  [ (), ( 1, 5)( 2,35)( 3, 9)( 4,40)( 6,41)(10,14)(11,26)(12,21)(15,27)(16,29)
        (17,43)(18,31)(19,22)(20,46)(24,47)(28,38)(30,49)(33,37)(34,44)(36,48)
        , ( 1,16)( 3, 9)( 4,19)( 5,29)( 7, 8)(10,12)(11,36)(13,45)(14,21)
        (15,27)(17,34)(20,46)(22,40)(23,39)(24,38)(26,48)(28,47)(30,37)(32,50)
        (33,49)(43,44), ( 1,29)( 2,35)( 4,22)( 5,16)( 6,18)( 7,45)( 8,13)
        (10,49)(11,36)(12,33)(14,30)(15,20)(19,40)(21,37)(24,38)(25,42)(26,48)
        (27,46)(28,47)(31,41) ], 
  [ (), ( 6,10)( 7, 8)( 9,48)(11,37)(13,30)(14,35)(15,31)(16,29)(18,34)(19,20)
        (22,41)(23,39)(25,33)(26,27)(36,40)(42,50)(43,47)(44,45), 
      ( 1,20,19)( 2,18,34)( 3,22,50,21,42,41)( 4,12)( 5,32)( 6,26,29, 8,15,40)
        ( 7,16,27,10,36,31)( 9,48,45,35,14,44)(11,47,46,43,37,17)(13,30)
        (23,39,28)(24,25,33)(38,49) ], 
  [ (), ( 2,11)( 3,32)( 5,27)( 6,49)( 9,22)(10,44)(12,34)(13,40)(14,50)(15,45)
        (16,35)(17,43)(19,46)(20,25)(21,42)(23,36)(24,47)(26,39)(28,48)(29,31)
        (30,37)(33,38), ( 1,20)( 2,23)( 3,33)( 4,26)( 5,48)( 6,35)( 7,10)
        ( 8,45)( 9,37)(11,47)(12,50)(13,42)(14,27)(16,39)(17,32)(18,19)(25,28)
        (29,49)(31,46)(34,41)(36,38), ( 1,38,49,31,11,12)( 2,39,41,24, 5,16)
        ( 3,25,18,43, 6,28)( 4,36,27,50,32,46)( 7,44)( 8,15)( 9,30,37,13,21,42
         )(14,47,26,29,17,20)(19,48,33,34,35,23)(22,40) ], 
  [ (), ( 1, 8,49,22)( 2,46,41,26)( 3,50,15,17)( 4, 7,20, 9)( 5,33,28,19)
        ( 6,31,25,24)(10,35,11,39)(12,36,45,16)(13,29,32,43)(14,37)
        (18,21,34,42)(23,47,30,48)(27,44,40,38), 
      ( 1,20)( 2,28)( 3,25)( 4,49)( 5,41)( 6,15)( 7, 8)( 9,22)(13,27)(16,36)
        (17,24)(18,34)(19,26)(29,38)(31,50)(32,40)(33,46)(35,39)(43,44)(47,48)
        , ( 1,49)( 2,41)( 3,15)( 4,20)( 5,28)( 6,25)( 7, 9)( 8,22)(10,11)
        (12,45)(13,32)(16,36)(17,50)(18,34)(19,33)(21,42)(23,30)(24,31)(26,46)
        (27,40)(29,43)(35,39)(38,44)(47,48) ], 
  [ ( 7, 9)( 8,10)(12,20)(13,19)(18,34)(21,22)(24,40)(25,27)(31,33)(37,46)
        (38,45)(42,50), ( 7,10, 9, 8)(12,13,20,19)(18,27,34,25)(21,42,22,50)
        (24,33,40,31)(37,38,46,45), ( 1,14)( 2,17)( 3,26)( 4,44)( 5,30)( 6,48)
        ( 7,18)( 8,27)( 9,34)(10,25)(11,15)(12,21)(13,50)(16,49)(19,42)(20,22)
        (23,35)(24,38)(28,32)(31,46)(33,37)(36,39)(40,45)(43,47), 
      ( 1,15)( 2, 3)( 4,44)( 5,28)( 6,39)( 7,22,10,50, 9,21, 8,42)(11,14)
        (12,34,13,25,20,18,19,27)(16,49)(17,26)(23,47)(24,38,33,46,40,45,31,37
         )(29,41)(30,32)(35,43)(36,48), ( 1,16)( 3,36)( 4,35)( 6,28)( 7,34)
        ( 8,25)( 9,18)(10,27)(11,47)(12,33)(13,24)(14,49)(15,43)(19,40)(20,31)
        (21,37)(22,46)(23,44)(26,39)(29,41)(32,48)(38,50)(42,45), 
      ( 1,43)( 2,28)( 3, 5)( 4,49)( 6,48)( 7,19)( 8,20)( 9,13)(10,12)(11,23)
        (14,47)(15,35)(16,44)(17,32)(18,42)(21,25)(22,27)(26,30)(29,41)(34,50)
        (36,39) ], 
  [ ( 6,50)( 7,32)( 8,19)( 9,29)(10,37)(11,25)(12,45)(13,38)(14,36)(15,46)
        (16,21)(22,30)(26,35)(27,49)(33,40)(39,44)(41,48)(42,43), 
      ( 1,15)( 2,25)( 3,49)( 5,30)( 6,10)( 7,47)(12,50)(13,18)(16,40)(19,23)
        (20,36)(21,26)(24,29)(28,42)(31,39)(33,35)(34,41)(37,45) ], 
  [ ( 6,22,12,46)( 7,38, 8,48)(10,40,35,43)(11,19,32,49)(13,36,45,33)
        (16,42,39,34)(18,37,26,44)(20,30,25,31)(21,28,23,27), 
      ( 2,50)( 3,29)( 5,15)( 6,12)( 9,24)(10,30)(11,37)(13,28)(14,17)(16,42)
        (18,19)(20,40)(21,36)(23,33)(25,43)(26,49)(27,45)(31,35)(32,44)(34,39)
        (38,48) ], 
  [ (), ( 9,32)(10,13)(11,48)(12,49)(14,50)(15,45)(16,46)(17,47)(18,44)(19,38)
        (20,39)(21,40)(22,41)(23,42)(24,43)(25,33)(26,34)(27,35)(28,36)(29,37)
        (30,31), ( 2, 6)( 3, 5)( 9,31)(10,21)(11,36)(12,41)(13,40)(15,45)
        (16,20)(17,35)(18,25)(19,43)(22,49)(23,37)(24,38)(26,34)(27,47)(28,48)
        (29,42)(30,32)(33,44)(39,46), ( 1, 4)( 2, 3)( 5, 6)( 7, 8)( 9,32)
        (10,22)(11,46)(12,40)(13,41)(15,26)(16,48)(17,42)(18,33)(19,38)(20,28)
        (21,49)(23,47)(24,43)(25,44)(27,37)(29,35)(30,31)(34,45)(36,39) ], 
  [ ( 7, 8)( 9,43)(10,41)(11,20)(12,19)(13,45)(15,17)(16,49)(21,33)(22,31)
        (23,24)(25,36)(27,34)(32,35)(37,39)(38,42)(44,46), 
      ( 1,45,26,16)( 2, 3)( 4,36,48,27)( 5,25,40,34)( 6,13,18,49)( 7,30)
        ( 8,50)( 9,28,41,29)(10,47,43,14)(11,15,19,39)(12,32,20,44)
        (17,22,37,33)(21,46,31,35)(23,38), ( 1,48)( 2, 3)( 4,26)( 5,18)( 6,40)
        (11,20)(12,19)(13,36)(14,29)(15,37)(16,34)(17,39)(21,33)(22,31)(23,42)
        (24,38)(25,45)(27,49)(28,47)(30,50)(32,46)(35,44) ], 
  [ ( 7, 9)( 8,10)(12,15)(13,37)(14,30)(17,18)(19,28)(20,27)(23,26)(25,49)
        (31,40)(32,39)(34,45)(36,50)(38,46)(44,48), 
      ( 7,10, 9, 8)(12,25,15,49)(13,23,37,26)(14,44,30,48)(17,38,18,46)
        (19,20,28,27)(31,32,40,39)(34,36,45,50), 
      ( 2,33)( 3,22)( 5,42)( 6,24)( 7,39)( 8,31)( 9,32)(10,40)(11,47)(12,25)
        (13,44)(14,23)(15,49)(16,41)(17,38)(18,46)(20,27)(26,30)(29,35)(36,50)
        (37,48), ( 1, 3)( 2, 4)( 5, 6)( 7, 8)( 9,10)(11,24)(12,48)(14,49)
        (15,44)(17,18)(19,20)(21,41)(23,26)(25,30)(27,28)(31,50)(32,45)(34,39)
        (35,43)(36,40)(42,47), ( 1, 4)( 2, 3)( 5, 6)( 7,23)( 8,37)( 9,26)
        (10,13)(11,47)(12,36)(14,31)(15,50)(16,29)(17,27)(18,20)(19,46)(21,43)
        (22,33)(24,42)(25,34)(28,38)(30,40)(32,48)(35,41)(39,44)(45,49), 
      ( 1,11)( 2, 3)( 4,47)( 5,22)( 6,33)( 7,34, 9,45)( 8,50,10,36)
        (12,13,15,37)(14,18,30,17)(16,29)(19,39,28,32)(20,31,27,40)(21,43)
        (23,49,26,25)(24,42)(38,44,46,48) ], 
  [ (), ( 3,23,39,49)( 4,17,37,34)( 5,33,25,19)( 6,38,31,16)( 7,32,40,42)
        ( 8,47,11,36)( 9,14,44,27)(13,24,48,29), 
      ( 3,39)( 4,37)( 5,25)( 6,31)( 7,40)( 8,11)( 9,44)(13,48)(14,27)(16,38)
        (17,34)(19,33)(23,49)(24,29)(32,42)(36,47), 
      ( 3,49,39,23)( 4,34,37,17)( 5,19,25,33)( 6,16,31,38)( 7,42,40,32)
        ( 8,36,11,47)( 9,27,44,14)(13,29,48,24), 
      ( 1,10)( 2,18)( 3, 4)( 5,27)( 8,24)( 9,33)(11,29)(12,35)(13,36)(14,25)
        (15,50)(17,23)(19,44)(20,26)(21,41)(22,30)(28,43)(34,49)(37,39)(45,46)
        (47,48), ( 1,18)( 2,10)( 5,27)( 6,16)( 7,40)( 8,13)( 9,19)(11,48)
        (12,41)(14,25)(15,28)(17,34)(21,35)(22,30)(23,49)(24,36)(29,47)(31,38)
        (33,44)(43,50) ], 
  [ (), ( 6,29)( 7,43)( 8,24)( 9,14)(10,46)(11,13)(12,15)(16,31)(17,35)(18,36)
        (19,45)(21,47)(22,30)(23,33)(25,28)(26,39)(27,40)(32,37)(34,42)(38,41)
        (44,48), ( 2, 5)( 3, 4)( 6,24)( 7,43)( 8,29)( 9,13)(10,46)(11,14)
        (16,35)(17,31)(18,30)(19,47)(21,45)(22,36)(23,33)(26,40)(27,39)(32,42)
        (34,37)(49,50), ( 2,26)( 3,47)( 4,19)( 5,40)( 6, 7)( 8,49)( 9,31)
        (10,45)(11,22)(12,25)(13,17)(14,36)(15,28)(16,32)(18,34)(21,46)(23,27)
        (24,43)(29,50)(30,37)(33,39)(35,42)(38,48)(41,44), 
      ( 2,33, 5,23)( 3,46, 4,10)( 6,29,24, 8)( 7,49,43,50)( 9,34,13,37)
        (11,42,14,32)(16,36,35,22)(17,18,31,30)(19,21,47,45)(26,27,40,39), 
      ( 2,40,33,39, 5,26,23,27)( 3,19,46,21, 4,47,10,45)( 6,49,29,43,24,50, 8,
         7)( 9,22,34,16,13,36,37,35)(11,31,42,30,14,17,32,18)(12,28)(15,25)
        (38,44)(41,48), ( 1,20)( 2,29,33,24, 5, 8,23, 6)( 3,19,46,21, 4,47,10,
         45)( 7,27,49,40,43,39,50,26)( 9,17,34,18,13,31,37,30)(11,36,42,35,14,
         22,32,16)(12,25)(15,28)(38,41)(44,48) ], 
  [ (), ( 1, 5)( 2, 3)( 4, 6)( 7, 8)( 9,31)(10,27)(11,37)(12,23)(13,18)(14,44)
        (15,25)(16,40)(17,50)(19,30)(20,28)(21,26)(22,32)(24,35)(29,43)(34,36)
        (38,42)(39,47)(45,48)(46,49) ], 
  [ ( 7,24)( 8,35)( 9,32)(10,27)(11,26)(12,43)(13,45)(14,47)(15,41)(16,25)
        (18,42)(19,38)(20,39)(22,33)(23,31)(28,36)(29,37)(30,34)(40,49)(44,48)
        , ( 7,32,24, 9)( 8,27,35,10)(11,44,26,48)(12,23,43,31)(13,34,45,30)
        (14,42,47,18)(15,33,41,22)(16,49,25,40)(19,28,38,36)(20,29,39,37), 
      ( 1, 4)( 2, 3)( 5, 6)( 7, 8)( 9,27)(10,32)(11,48)(12,31)(13,30)(14,36)
        (15,25)(16,41)(18,19)(20,29)(21,46)(22,40)(23,43)(24,35)(26,44)(28,47)
        (33,49)(34,45)(37,39)(38,42), ( 1, 6)( 4, 5)( 9,32)(10,27)(11,23)
        (12,44)(13,20)(14,28)(17,50)(18,38)(19,42)(22,33)(26,31)(29,30)(34,37)
        (36,47)(39,45)(40,49)(43,48) ], 
  [ ( 2, 5)( 3, 4)( 6, 9)( 7,37)( 8,14)(10,39)(11,44)(12,21)(13,33)(15,31)
        (16,23)(17,27)(19,25)(20,28)(22,24)(26,29)(30,43)(32,41)(34,50)(35,49)
        (36,40)(38,42)(45,48)(46,47), ( 1,15, 2,21, 5,13)( 6,22, 7,16, 8,11)
        ( 9,28,14,43,37,41)(10,24,50,44,49,23)(12,27,31,36,33,25)
        (17,39,19,35,40,34)(18,30,48,20,45,32)(26,38,46)(29,47,42), 
      ( 1,39,28,37,40,21,44,18,11,12,36, 7,20,10)( 2,22,43,25,17,32,23)( 3,29)
        ( 4,38)( 5,34,41,14,19,15,24,45,16,33,27, 6,30,49)( 8,13,50,48,35,31,
          9)(26,46)(42,47) ], 
  [ (), ( 1,12)( 2,27)( 3,35)( 4,20)( 6,19)( 7,28)( 8,47)( 9,36)(10,15)(11,45)
        (16,38)(17,41)(21,44)(24,26)(29,32)(30,49)(31,40)(33,46)(37,43)(39,48)
        (42,50), ( 1,27)( 2,12)( 3,20)( 4,35)( 7,30)( 8,32)( 9,31)(10,39)
        (11,41)(15,48)(16,26)(17,45)(18,23)(21,44)(24,38)(25,34)(28,49)(29,47)
        (36,40)(37,43), ( 1,35,11,39)( 2, 3,17,48)( 4,41,10,27)( 5,22,13,14)
        ( 6,46,19,33)( 7,16,28,24)( 8, 9,47,40)(12,20,45,15)(18,43,34,21)
        (23,37,25,44)(26,49,38,30)(29,36,32,31)(42,50) ], 
  [ (), ( 1, 8)( 2, 4)( 3, 6)( 5, 7)( 9,35)(11,46)(12,24)(13,50)(14,41)(15,32)
        (16,48)(17,42)(18,43)(19,23)(22,49)(26,36)(27,38)(28,47)(29,40)(30,39)
        (33,45), ( 1,30)( 3,22)( 5,45)( 6,49)( 7,33)( 8,39)( 9,35)(10,31)
        (11,19)(12,18)(13,50)(15,27)(16,48)(17,42)(20,37)(21,34)(23,46)(24,43)
        (25,44)(28,40)(29,47)(32,38), ( 1,43)( 3,15)( 4,26)( 5,35)( 6,49)
        ( 7,48)( 9,45)(10,19)(11,31)(13,29)(16,33)(17,40)(20,44)(21,46)(22,27)
        (23,34)(24,30)(25,37)(28,42)(32,38)(47,50) ], 
  [ (), ( 3,20)( 4,27)( 5,11)( 6,46)( 7,37)( 8,22)( 9,36)(13,42)(15,38)(16,18)
        (17,21)(19,50)(23,32)(24,25)(26,39)(28,47)(29,48)(33,49), 
      ( 1,12)( 2,44)( 3, 4)( 5,46)( 6,11)( 7,13)( 8,50)(10,14)(16,18)(17,21)
        (19,22)(20,27)(24,49)(25,33)(28,47)(29,48)(30,31)(34,45)(35,41)(37,42)
        (40,43), ( 1,25,44,24)( 2,33,12,49)( 3, 4)( 5,15,46,26)( 6,38,11,39)
        ( 7, 8,50,13)( 9,35,36,41)(10,43)(14,40)(16,21,17,18)(19,22,37,42)
        (20,27)(23,31,32,30)(28,47,29,48)(34,45), 
      ( 1,33)( 2,25)( 5,15)( 6,38)( 7,50)( 9,41)(10,40)(11,39)(12,24)(14,43)
        (16,17)(22,42)(23,30)(26,46)(31,32)(35,36)(44,49)(47,48), 
      ( 1,44)( 2,12)( 5,46)( 6,11)( 7,50)( 8,13)( 9,36)(15,26)(16,17)(18,21)
        (19,37)(22,42)(23,32)(24,25)(28,29)(30,31)(33,49)(35,41)(38,39)
        (47,48) ], 
  [ ( 6,22,12,46)( 7,38, 8,48)( 9,19,47,42)(16,35,36,18)(17,24,27,40)
        (20,30,25,31)(21,43,41,33)(28,34,44,32), 
      ( 2, 5)( 3, 4)( 6, 9)( 7,43)( 8,33)(10,13)(11,49)(12,47)(14,15)(16,18)
        (19,46)(20,32)(21,38)(22,42)(23,37)(24,40)(25,34)(28,31)(29,45)(30,44)
        (35,36)(41,48), ( 1,39)( 2,23)( 3,45)( 4,29)( 5,37)( 6, 8,12, 7)
        ( 9,43,47,33)(10,11)(13,49)(14,15)(16,18,36,35)(17,40,27,24)
        (19,41,42,21)(20,30,25,31)(22,48,46,38)(26,50)(28,34,44,32) ], 
  [ (), ( 3,46)( 4,47)( 5,20)( 6,36)( 8,17)( 9,15)(10,33)(12,49)(13,48)(14,45)
        (16,44)(19,27)(21,31)(22,35)(25,32)(26,34)(28,43)(29,42)(37,38)(39,41)
        , ( 1,40)( 2,11)( 3, 8)( 4,34)( 5,33)( 6,22)(10,20)(12,19)(13,48)
        (14,31)(16,25)(17,46)(18,23)(21,45)(26,47)(27,49)(28,42)(29,43)(32,44)
        (35,36) ], 
  [ (), ( 1,22,32)( 2,43,36)( 3,15,40)( 4,34, 6)( 5,27,49)( 7,26,48)( 8,12,33)
        ( 9,17,50)(11,41,46)(13,39,21)(18,45,19)(23,29,38)(28,35,44)(30,31,47)
        , ( 1,30)( 2,40)( 3,36)( 4, 6)( 5,46)( 7,45)( 9,44)(10,20)(11,49)
        (12,33)(13,21)(14,24)(15,43)(16,42)(17,35)(18,26)(19,48)(22,47)(27,41)
        (28,50)(29,38)(31,32), ( 1,48)( 2,43)( 4,29)( 5,49)( 6,38)( 7,32)
        ( 8,39)( 9,44)(10,20)(11,46)(12,13)(14,42)(15,40)(16,24)(17,35)(18,47)
        (19,30)(21,33)(22,26)(23,34)(25,37)(28,50)(31,45) ], 
  [ ( 6,45)( 7,30)( 8,11)( 9,42)(10,14)(12,29)(13,26)(17,35)(18,43)(20,32)
        (21,23)(22,28)(25,40)(27,44)(31,49)(33,47)(37,39)(41,48)(46,50), 
      ( 1,17,24, 6)( 2,45,16,35)( 3, 9,34,12)( 4,29,19,42)( 5,38)( 7,43,40,18)
        ( 8,41,21,50)(10,30,14,25)(11,46,23,48)(13,36,26,15)(20,28,32,49)
        (22,39,31,37)(27,47,33,44), ( 1,32,24, 2,39,16)( 3,19,10, 4,34,18)
        ( 5,44,33)( 6,28,31,35,22,49)( 7, 9,40,30,29,25)( 8,50,15)(11,13,21)
        (12,42)(14,43)(17,45)(20,37)(23,36,48)(26,46,41)(27,38,47) ], 
  [ (), ( 1,41, 2,21)( 3,29, 4,31)(10,27,50,33)(11,38,36,39)(12,48,26,35)
        (13,49,30,32)(19,22,37,45)(20,34,46,23), 
      ( 1,49)( 2,32)( 3,22)( 4,45)( 5,42)( 7,28)( 8,15)( 9,18)(10,36)(11,50)
        (12,35)(13,41)(16,40)(17,44)(19,29)(20,46)(21,30)(24,47)(26,48)(27,38)
        (31,37)(33,39) ], 
  [ (), ( 2,14)( 3,43)( 4,16)( 5,45)( 7,32)( 8,12)( 9,42)(10,13)(11,25)(15,26)
        (17,49)(18,38)(20,50)(21,27)(22,30)(23,33)(28,48)(29,37)(35,40)(36,46)
        (39,47), ( 2,40)( 3,12)( 4,33)( 6,19)( 7,22)( 8,43)( 9,27)(10,25)
        (11,13)(14,35)(16,23)(17,29)(18,28)(20,39)(21,42)(24,34)(30,32)(31,44)
        (36,46)(37,49)(38,48)(47,50), ( 1,26,15)( 3, 9,33)( 4,12,27)( 5,41,45)
        ( 7,25,39)( 8,16,21)(10,20,22)(11,32,47)(13,30,50)(17,46,37)(18,44,38)
        (23,42,43)(28,31,48)(29,36,49), ( 1,41)( 3,12)( 4, 9)( 5,26)( 6,34)
        ( 7,20)( 8,43)(10,25)(11,13)(15,45)(16,42)(17,37)(18,38)(19,24)(21,23)
        (22,39)(27,33)(28,48)(29,49)(30,47)(32,50), 
      ( 1,46,41,36)( 2,34,14, 6)( 3,10, 8,11)( 4,30,42,39)( 5,49,15,37)
        ( 7,27,50,23)( 9,22,16,47)(12,13,43,25)(17,45,29,26)(18,48)
        (19,35,24,40)(20,21,32,33)(28,38)(31,44) ], 
  [ ( 7, 8)(10,35)(11,47)(12,48)(13,26)(14,50)(15,28)(16,45)(17,22)(18,43)
        (19,37)(20,30)(21,33)(23,42)(25,27)(29,38)(31,40)(32,39)(34,49)(36,44)
        (41,46), ( 7, 8)( 9,24)(10,27)(13,34)(15,36)(17,41)(19,29)(20,32)
        (21,31)(22,46)(25,35)(26,49)(28,44)(30,39)(33,40)(37,38), 
      ( 7,24)( 8, 9)(10,27)(11,47)(12,48)(13,37)(14,50)(15,33)(16,45)(17,39)
        (18,43)(19,49)(20,22)(21,44)(23,42)(26,29)(28,31)(30,41)(32,46)(34,38)
        (36,40), ( 2, 6)( 3, 5)( 7,35,24,10, 8,25, 9,27)(11,48)(12,47)
        (13,33,19,28,34,40,29,44)(14,45)(15,37,21,26,36,38,31,49)(16,50)
        (17,22,32,30,41,46,20,39)(18,42)(23,43), 
      ( 1, 3)( 2, 4)( 5, 6)( 7, 9, 8,24)(10,35,27,25)(11,47)(12,16)
        (13,19,34,29)(14,23)(15,46,36,22)(17,44,41,28)(18,43)(20,40,32,33)
        (21,39,31,30)(26,38,49,37)(42,50)(45,48), 
      ( 1, 4)( 2, 3)( 5, 6)( 7,25,24,27, 8,35, 9,10)(11,18)(12,23)
        (13,37,19,26,34,38,29,49)(14,16)(15,33,21,28,36,40,31,44)
        (17,22,32,30,41,46,20,39)(42,48)(43,47)(45,50) ], 
  [ (), ( 1,39)( 2,48)( 3,16)( 4,49)( 5,50)( 6,14)( 7,46)( 9,24)(10,44)(12,35)
        (13,42)(15,34)(17,37)(19,38)(20,43)(21,36)(22,23)(25,29)(26,41)(27,33)
        (28,32)(30,45)(31,47) ], 
  [ (), ( 2,29)( 3,10)( 4,42)( 5,46)( 6,11)( 7, 9)( 8,39)(12,25)(13,31)(14,37)
        (16,40)(17,35)(18,21)(20,45)(22,30)(23,36)(27,50)(28,33)(34,41)(38,47)
        (43,44), ( 1,24)( 2,17)( 3,43)( 4, 9)( 5,25)( 6,30)( 7,42)( 8,38)
        (10,44)(11,22)(12,46)(14,36)(16,27)(18,41)(19,48)(21,34)(23,37)(29,35)
        (32,49)(39,47)(40,50), ( 1,37,14)( 2,47,16)( 3,28,43)( 4,48,42)
        ( 5,25,45)( 6,30,13)( 7,19, 9)( 8,50,35)(10,44,33)(11,31,22)(12,46,20)
        (17,27,39)(18,21,49)(23,24,36)(29,40,38)(32,34,41) ], 
  [ (), ( 1,37)( 2,25)( 4,20)( 5,26)( 6,44)( 7,30)( 8,33)( 9,34)(10,41)(11,18)
        (12,23)(13,39)(14,40)(15,35)(16,42)(17,36)(19,27)(21,43)(22,32)(28,48)
        (31,38)(45,49)(47,50), ( 1,45)( 2,25)( 4,43)( 5,31)( 6,40)( 7,33)
        ( 8,22)( 9,34)(10,19)(11,18)(13,41)(14,37)(15,27)(16,30)(20,38)(21,26)
        (23,36)(24,28)(32,42)(35,39)(44,49)(46,48)(47,50) ], 
  [ (), ( 1,25)( 2,43)( 3,30)( 4,34)( 7,12)( 8, 9)(10,27)(11,28)(13,35)(14,15)
        (16,44)(17,33)(18,38)(19,32)(21,29)(22,45)(23,37)(24,47)(26,40)(31,46)
        (39,48)(41,49), ( 1,43)( 2,25)( 3,12)( 4, 9)( 5, 6)( 7,30)( 8,34)
        (10,45)(11,41)(13,24)(14,15)(16,44)(18,19)(20,36)(21,26)(22,27)(23,37)
        (28,49)(29,40)(31,48)(32,38)(35,47)(39,46) ], 
  [ (), ( 2, 6)( 3, 5)( 7,10)( 8, 9)(11,44)(12,42)(13,37)(14,47)(15,38)(18,31)
        (19,21)(20,45)(22,34)(23,49)(24,50)(25,30)(26,43)(27,32)(29,39)(33,46)
        (35,48), ( 1,13)( 2,31)( 3,18)( 4,37)( 5,22)( 6,34)( 7,16)( 8,17)
        ( 9,40)(10,41)(11,26)(14,29)(20,36)(23,32)(24,30)(25,43)(27,39)(28,45)
        (33,38)(35,42)(44,50)(47,49) ], 
  [ ( 6,36)( 7,22)( 8,12)(11,26)(14,33)(15,49)(16,44)(17,20)(18,19)(21,46)
        (23,37)(24,25)(27,42)(29,38)(31,32)(34,35)(39,41)(45,47), 
      ( 3,43)( 4,28)( 5,13)( 6,47)( 7,32)( 8,17)(10,50)(11,35)(12,20)(14,39)
        (15,24)(18,42)(19,27)(21,46)(22,31)(25,49)(26,34)(29,38)(33,41)(36,45)
        (40,48), ( 1,30)( 2, 9)( 5,13)( 6,45)( 7,20)( 8,31)(10,48)(11,19)
        (12,32)(14,25)(15,41)(16,23)(17,22)(18,26)(21,38)(24,33)(27,35)(29,46)
        (34,42)(36,47)(37,44)(39,49)(40,50) ], 
  [ (), ( 2,33)( 3,32)( 4,31)( 5,30)( 6, 8)( 7,21)( 9,44)(10,39)(11,38)(12,15)
        (13,48)(16,22)(17,45)(19,20)(23,29)(26,42)(27,34)(28,40)(36,50)(41,43)
        , ( 1,46)( 2,28)( 3,39)( 4,38)( 5,26)( 6,43)( 7,27)( 8,41)( 9,13)
        (10,32)(11,31)(12,19)(14,35)(15,20)(16,29)(17,36)(21,34)(22,23)(24,37)
        (30,42)(33,40)(44,48)(45,50)(47,49), 
      ( 1,47)( 2,26)( 3, 4)( 5,28)( 6, 8)( 7,27)( 9,36)(10,11)(12,20)(13,17)
        (15,19)(16,23)(21,34)(22,29)(24,37)(30,40)(31,32)(33,42)(38,39)(41,43)
        (44,50)(45,48)(46,49), ( 1,49)( 2, 5)( 3,38)( 4,39)( 6,41)( 8,43)
        ( 9,17)(10,31)(11,32)(12,15)(13,36)(14,35)(16,22)(19,20)(23,29)(26,28)
        (30,33)(40,42)(44,45)(46,47)(48,50) ], 
  [ ( 7, 9,50,13)( 8,35,10,14)(11,23,39,34)(15,40,44,20)(16,30,32,18)
        (17,37,42,24)(22,36,43,31), ( 2,45)( 3,46)( 4,47)( 5,48)( 6,49)( 8,44)
        ( 9,13)(10,15)(12,41)(14,20)(16,31)(17,37)(18,22)(19,38)(21,33)(23,34)
        (24,42)(30,43)(32,36)(35,40) ], 
  [ ( 7,22,42,31)( 8,10,33, 9)(12,37,43,19)(13,44,27,49)(14,26,46,35)
        (15,45,21,32)(16,18,34,25)(17,29,48,38)(20,28,47,40), 
      ( 1,11)( 2,39)( 3,24)( 5,50)( 7,42)( 8,47)( 9,40)(10,28)(12,46)(13,44)
        (14,43)(15,25)(16,32)(17,48)(18,21)(19,35)(20,33)(26,37)(27,49)(30,36)
        (34,45) ], 
  [ ( 7, 8)( 9,43)(10,27)(11,33)(12,34)(14,36)(15,18)(16,31)(17,20)(19,32)
        (22,41)(23,39)(24,46)(25,35)(26,48)(28,50)(29,44)(30,37)(38,47)(42,45)
        , ( 7,10, 9,32)( 8,19,43,27)(11,33,50,28)(12,34,44,29)(13,23,49,39)
        (14,36,46,24)(15,42,45,18)(16,31,48,26)(17,38,47,20)(21,35,40,25), 
      ( 7,43)( 8, 9)(10,19)(11,28)(12,29)(13,49)(14,24)(15,42)(16,26)(17,38)
        (18,45)(20,47)(21,40)(22,41)(27,32)(30,37)(31,48)(33,50)(34,44)(36,46)
        , ( 1, 3)( 2, 4)( 5, 6)( 7, 8)( 9,43)(10,19)(11,14)(12,44)(13,40)
        (15,45)(16,20)(17,31)(18,42)(21,49)(22,41)(23,25)(24,28)(26,47)(27,32)
        (29,34)(30,37)(33,36)(35,39)(38,48)(46,50), 
      ( 1,39,13)( 2,23,49)( 3,25,21)( 4,35,40)( 7,10,22)( 8,19,37)( 9,32,30)
        (11,47,17)(12,45,15)(18,29,34)(20,28,33)(24,48,36)(26,46,31)
        (27,41,43) ], 
  [ (), ( 3,28)( 4,36)( 5,18)( 6, 7)( 8,26)( 9,33)(10,42)(11,37)(13,50)(15,19)
        (16,48)(17,47)(20,24)(21,32)(22,44)(23,41)(25,43)(27,31)(29,46)(30,49)
        (35,40)(38,45), ( 1,20)( 2,29)( 3,41)( 4,38)( 6,40)( 9,43)(11,13)
        (15,17)(16,36)(19,23)(21,27)(24,39)(25,33)(26,42)(28,47)(30,48)(31,32)
        (34,46)(45,49), ( 1,34)( 2,39)( 3,30)( 4,15)( 6,50)( 7,13)( 8,42)
        ( 9,43)(10,26)(11,35)(16,47)(17,48)(19,36)(20,29)(21,27)(23,45)(24,46)
        (25,33)(28,49)(31,32)(37,40)(38,41), 
      ( 1,39)( 2,34)( 3,15)( 4,30)( 6,40)( 7,35)( 8,10)(11,13)(16,45)(17,41)
        (19,28)(20,24)(23,47)(26,42)(29,46)(36,49)(37,50)(38,48) ], 
  [ ( 6,22,12,46)( 7,38, 8,48)( 9,21,19,49)(11,32,20,31)(13,42,27,16)
        (23,24,25,35)(30,37,36,43), ( 2,50)( 3,29)( 5,15)( 6,46)( 7,38)( 8,48)
        ( 9,49)(10,34)(11,42)(12,22)(13,32)(14,17)(16,20)(18,39)(19,21)(24,35)
        (27,31)(30,36)(33,45)(40,44), ( 1,45,26,33)( 2,14,39, 5)( 3,28,29,41)
        ( 6,13,48,20)( 7,31,22,42)( 8,32,46,16)( 9,49,19,21)(10,40,44,34)
        (11,12,27,38)(15,18,17,50)(23,35,25,24)(30,43,36,37) ], 
  [ (), ( 7,44)( 8,10)( 9,45)(11,31)(12,21)(13,22)(14,30)(15,42)(16,36)(17,37)
        (19,39)(20,40)(23,43)(24,38)(25,46)(26,47)(32,48)(33,49)(41,50), 
      ( 2, 6)( 3, 5)( 7,44)( 9,45)(11,36)(12,33)(13,32)(14,41)(15,42)(16,31)
        (17,37)(19,20)(21,49)(22,48)(24,38)(25,47)(26,46)(27,29)(30,50)(34,35)
        (39,40), ( 1, 2)( 3, 4)( 7,44)( 9,45)(11,38)(12,30)(13,33)(14,21)
        (15,42)(16,36)(17,25)(18,29)(19,43)(22,49)(23,39)(24,31)(26,47)(28,34)
        (32,50)(37,46)(41,48) ], 
  [ (), ( 1, 5)( 2, 3)( 4, 6)( 7,10)( 8,13)(11,40)(12,25)(14,21)(16,45)(17,39)
        (18,35)(19,47)(20,38)(22,50)(23,31)(24,29)(26,36)(27,43)(30,34)(32,44)
        (33,41)(37,49)(42,48), ( 1,40)( 2,35)( 3,18)( 4,42)( 5,11)( 6,48)
        ( 7,19)( 8,39)( 9,46)(10,47)(12,49)(13,17)(14,45)(16,21)(22,26)(23,44)
        (24,33)(25,37)(27,43)(29,41)(31,32)(36,50) ], 
  [ (), ( 1,11)( 2,40)( 4,33)( 5,18)( 6,25)( 7,15)( 8,41)( 9,42)(10,23)(12,31)
        (13,36)(14,37)(16,32)(17,27)(19,21)(20,28)(22,24)(26,29)(30,50)(34,48)
        (35,44)(38,39)(43,45)(46,49), ( 1,20,49,42)( 2,13)( 4,43,16,14)
        ( 5,44,35,18)( 6,26)( 7,48,50,41)( 8,30,34,15)( 9,46,28,11)
        (10,22,24,23)(12,17,27,31)(19,39,38,21)(25,29)(32,45,33,37)(36,40) ], 
  [ (), ( 1, 7)( 2, 9)( 3,18)( 4,30)( 5,41)( 8,32)(10,38)(11,13)(12,39)(15,28)
        (16,22)(17,44)(19,31)(20,26)(21,40)(23,36)(27,50)(29,34)(33,49)(35,37)
        (42,43)(45,46)(47,48), ( 1,18)( 2,46)( 3, 7)( 4,10)( 9,45)(11,42)
        (12,47)(13,43)(16,22)(17,19)(20,21)(23,36)(26,40)(27,37)(29,34)(30,38)
        (31,44)(33,49)(35,50)(39,48) ], 
  [ (), ( 2, 6)( 3, 5)( 7,45)( 8,34)( 9,20)(10,31)(11,16)(12,46)(13,22)(14,39)
        (15,35)(17,23)(18,28)(19,21)(24,48)(25,32)(26,42)(27,50)(29,41)(30,38)
        (33,40)(36,37)(43,49)(44,47), ( 1, 4)( 2,25)( 3,46)( 5,12)( 6,32)
        ( 7,22)( 8,50)( 9,18)(10,39)(11,41)(13,45)(14,31)(15,47)(16,29)(19,40)
        (20,28)(21,33)(24,26)(27,34)(30,38)(35,44)(36,37)(42,48) ], 
  [ (), ( 1, 7,22,19)( 2,26,32,41)( 3,12,21, 8)( 4,50,37, 9)( 5,16,43,15)
        ( 6,46,10,36)(11,39)(13,20,28,24)(14,29,45,38)(17,23,47,31)
        (18,44,48,27)(25,35,34,42)(30,33,49,40), 
      ( 1, 9)( 2, 8)( 3,41)( 4,19)( 5,36)( 6,15)( 7,37)(10,16)(12,32)(14,38)
        (17,49)(20,24)(21,26)(22,50)(23,33)(25,34)(27,44)(29,45)(30,47)(31,40)
        (43,46), ( 1,22)( 2,32)( 3,21)( 4,37)( 5,43)( 6,10)( 7,19)( 8,12)
        ( 9,50)(13,28)(14,45)(15,16)(17,47)(18,48)(20,24)(23,31)(25,34)(26,41)
        (27,44)(29,38)(30,49)(33,40)(35,42)(36,46) ], 
  [ ( 7, 9)( 8,10)(11,34)(12,46)(13,39)(14,44)(15,37)(16,32)(18,19)(20,36)
        (21,22)(23,48)(24,47)(25,27)(28,45)(29,38)(30,35)(31,33)(40,41)(42,50)
        , ( 2,38,29)( 3,16,32)( 4,50,42)( 5,28,45)( 7,19,10)( 8,18, 9)
        (11,34,43)(12,31,44)(13,37,35)(14,33,46)(15,39,30)(20,49,36)(21,47,23)
        (22,48,24), ( 1, 2)( 3, 4)( 7, 9)(11,27)(12,46)(13,24)(15,48)(16,30)
        (17,43)(18,45)(19,28)(20,33)(21,42)(22,50)(23,37)(25,34)(29,41)(31,36)
        (32,35)(38,40)(39,47), ( 1,41,40)( 3,21,22)( 4,35,30)( 5,18,19)
        ( 7,45, 8)( 9,10,28)(12,20,14)(13,15,50)(16,47,48)(17,25,27)(23,24,32)
        (31,49,33)(36,46,44)(37,39,42) ], 
  [ (), ( 2,18)( 4,16)( 5,46)( 6,29)( 7, 8)( 9,14)(10,22)(12,41)(15,28)(19,31)
        (20,40)(21,38)(23,50)(24,44)(25,43)(30,45)(33,34)(35,49)(37,39)(47,48)
        , ( 1,13)( 2,49,44,21)( 3,30,32,45)( 4,16)( 5,39,20,22)( 6,23)
        ( 7, 9,12,28)( 8,15,41,14)(10,40,37,46)(11,33,36,34)(17,48,27,47)
        (18,38,24,35)(19,42,31,26)(25,43)(29,50) ], 
  [ (), ( 6,19)( 7,24)( 8,17)(10,21)(11,20)(12,32)(14,29)(15,45)(16,25)(18,36)
        (22,28)(23,31)(26,35)(27,46)(30,48)(33,38)(34,43)(37,49)(39,50)(41,44)
        , ( 1, 2)( 3, 4)( 6,31)( 7,24)( 8,28)( 9,40)(10,11)(12,34)(14,46)
        (15,30)(16,35)(17,22)(18,44)(19,23)(20,21)(25,26)(27,29)(32,43)(33,39)
        (36,41)(38,50)(42,47)(45,48) ], 
  [ (), ( 1, 3)( 2, 4)( 5, 6)( 7, 8)( 9,49)(10,27)(11,38)(12,41)(13,40)(14,37)
        (15,35)(16,39)(19,50)(20,34)(21,26)(22,43)(23,33)(24,47)(25,48)(28,42)
        (29,46)(30,32)(31,44)(36,45), ( 1,50)( 2,12)( 3,41)( 4,19)( 7,30)
        ( 8,22)( 9,13)(10,32)(11,45)(14,38)(17,31)(18,44)(21,49)(23,40)(25,37)
        (26,33)(27,43)(34,42)(35,39)(36,48)(46,47) ], 
  [ (), ( 1,24)( 2,14)( 3,21)( 4,37)( 5,50)( 6,47)( 7,15)( 8,38)( 9,19)(10,26)
        (11,42)(13,46)(16,32)(17,44)(18,33)(20,39)(27,30)(28,36)(29,43)(31,45)
        (34,49)(35,41)(40,48) ], 
  [ ( 1, 4)( 2,11)( 3,32)( 5,35)( 6,34)( 7,40)( 8,39)(10,45)(12,24)(13,23)
        (14,18)(15,44)(16,19)(17,33)(20,27)(21,30)(22,29)(25,42)(26,38)(31,49)
        (36,47)(43,46)(48,50), ( 1,11, 2, 4,32,36,10,50,43,46,48,45,47, 3)
        ( 5,35,27,24,28,12,20)( 6,31)( 7,13,18,22,37,29,14,23,40,38,44,41,15,
         26)( 8,21)( 9,42,16,17,33,19,25)(30,39)(34,49), 
      ( 1,18)( 2, 7)( 3,22)( 4,26)( 5,35)( 6,30)( 8,34)(10,44)(11,13)(12,24)
        (14,48)(15,32)(16,19)(17,33)(20,27)(21,49)(23,46)(25,42)(29,45)(31,39)
        (36,41)(37,47)(38,50)(40,43) ], 
  [ ( 6,39,29,26,10,37,16,30)( 7,18,40,47, 8,25,36,27)( 9,43,13,14,48,19,23,35
         ), ( 3,21)( 4,12)( 5,32)( 6, 8)( 7,10)( 9,35)(11,34)(13,19)(14,48)
        (15,33)(16,36)(17,46)(18,26)(20,31)(23,43)(25,30)(27,37)(29,40)(38,49)
        (39,47)(41,45)(42,44), ( 2,28)( 3,11)( 5,41)( 6,29)( 7,36)( 8,40)
        ( 9,14)(10,16)(13,43)(15,49)(17,20)(18,25)(19,23)(21,34)(24,50)(26,30)
        (31,46)(32,45)(33,38)(35,48), ( 1,22)( 2,24)( 3,38)( 4,44)( 6,25)
        ( 7,37)( 8,39)( 9,48)(10,18)(11,33)(12,42)(14,43)(15,34)(16,27)(19,35)
        (21,49)(26,40)(28,50)(29,47)(30,36) ], 
  [ (), ( 2,11)( 3,10)( 4,24)( 5,46)( 6,30)( 7,18)( 8,23)( 9,28)(12,27)(13,41)
        (16,20)(19,22)(21,42)(25,29)(26,45)(32,49)(33,44)(35,39)(37,48)(38,40)
        (47,50), ( 1,15)( 2,12)( 3, 6)( 4,24)( 5,37)( 7, 8)( 9,44)(10,30)
        (11,27)(13,20)(14,17)(16,41)(18,23)(21,49)(26,35)(28,33)(32,42)(38,40)
        (39,45)(46,48) ], 
  [ ( 7,50)( 8,10)( 9,42)(11,44)(12,48)(13,27)(14,41)(15,23)(16,32)(17,37)
        (18,30)(19,35)(20,38)(21,47)(24,43)(25,46)(26,28)(31,33)(34,39), 
      ( 1,11)( 2,44)( 3,24)( 4,43)( 7,49)( 8,10)( 9,28)(12,48)(13,14)(15,42)
        (16,18)(17,37)(19,23)(20,38)(21,45)(22,50)(25,34)(26,35)(29,47)(30,39)
        (31,33)(32,46) ], 
  [ ( 1,25)( 2,48)( 3, 8)( 4,26)( 6,44)( 7,41)(10,11)(12,35)(13,36)(14,17)
        (15,42)(16,45)(20,43)(21,46)(22,38)(23,29)(24,37)(27,39)(31,33)(47,49)
        , ( 1,45)( 2,37)( 3, 4)( 5,34)( 6,44)( 7,31)( 8,26)( 9,30)(10,21)
        (11,46)(12,22)(14,43)(15,42)(16,25)(17,20)(18,19)(23,29)(24,48)(27,49)
        (32,40)(33,41)(35,38)(39,47) ], 
  [ (), ( 1,30)( 2,32)( 3,27)( 4,11)( 5,10)( 6,34)( 7,22)( 8,47)( 9,28)(12,38)
        (13,19)(14,26)(15,21)(16,49)(17,39)(18,37)(20,42)(24,41)(25,29)(31,48)
        (33,46)(36,43)(44,45), ( 1,37)( 2,32)( 3,49)( 4,48)( 5,45)( 6,26)
        ( 7,42)( 8,47)( 9,39)(10,44)(11,31)(12,38)(13,25)(14,34)(16,27)(17,28)
        (18,30)(19,29)(20,22)(23,50)(33,46)(35,40) ], 
  [ (), ( 1, 4)( 2, 5)( 3, 6)( 9,35)(10,44)(11,50)(12,36)(13,28)(14,38)(15,26)
        (16,34)(17,31)(18,41)(19,23)(21,32)(24,42)(25,46)(27,30)(29,49)(33,45)
        (39,40)(47,48) ], 
  [ ( 7,26,43)( 8,10, 9)(11,29,30)(12,13,47)(15,39,17)(16,33,31)(18,27,22)
        (19,21,42)(20,49,44)(23,35,24)(25,34,28)(32,38,41)(36,48,37)(40,46,50)
        , ( 7,43,26)( 8, 9,10)(11,30,29)(12,47,13)(15,17,39)(16,31,33)
        (18,22,27)(19,42,21)(20,44,49)(23,24,35)(25,28,34)(32,41,38)(36,37,48)
        (40,50,46), ( 2,11)( 3,32)( 5,27)( 6,48)( 7,23)( 8,24)( 9,13)(10,43)
        (12,26)(15,17)(16,42)(18,41)(19,21)(20,39)(22,38)(25,28)(29,37)(30,36)
        (31,33)(34,40)(44,49)(46,50), ( 1, 3)( 2, 4)( 5, 6)( 7, 8)( 9,26)
        (10,43)(12,21)(13,19)(15,22)(17,18)(20,48)(23,46)(24,50)(25,28)(27,39)
        (29,30)(31,33)(35,40)(36,49)(37,44)(38,41)(42,47), 
      ( 1, 4)( 2, 3)( 5, 6)( 7,10,26, 9,43, 8)(11,41,29,32,30,38)
        (12,35,13,24,47,23)(15,49,39,44,17,20)(16,25,33,34,31,28)
        (18,37,27,36,22,48)(19,40,21,46,42,50), 
      ( 1,21,41,16)( 2,46,37, 9)( 3,19,22, 7)( 4,50,30,34)( 5,10,39,31)
        ( 6,43,20,25)( 8,32,35,17)(11,47,49,26)(12,18,24,36)(13,38,42,44)
        (14,45)(15,23,29,40)(27,33)(28,48), 
      ( 1,39,15)( 4,20,44)( 5,11,30)( 6,32,41)( 7,50,42)( 8,43,19)( 9,21,40)
        (10,46,26)(12,31,16)(13,47,33)(18,27,37)(22,36,48)(23,35,28)
        (24,25,34) ], 
  [ ( 7, 9)( 8,10)(11,44)(12,46)(13,26)(14,20)(16,23)(17,45)(21,48)(22,49)
        (24,30)(25,39)(28,41)(29,42)(31,38)(32,50)(34,43)(35,37)(36,47), 
      ( 1,23,16)( 3,13,26)( 5,17,45)( 6,31,38)( 7, 9,40)( 8,11,24)(10,30,44)
        (12,33,46)(14,20,18)(15,39,25)(21,28,50)(22,29,47)(32,41,48)(36,42,49)
        , ( 1,48, 3,28)( 2,43, 4,34)( 5,44, 6,24)( 7,46)( 8,45,10,38)( 9,33)
        (11,17,30,31)(12,40)(13,21,23,41)(14,22,39,42)(15,49,18,29)
        (16,32,26,50)(19,37,27,35)(20,47,25,36) ], 
  [ (), ( 1,42)( 2,45)( 3,39)( 4,29)( 5,14)( 6,32)( 7,26)( 8,35)( 9,13)(10,22)
        (11,36)(12,25)(15,17)(16,40)(18,38)(19,50)(20,21)(23,47)(27,49)(28,43)
        (30,31)(33,48)(34,44)(37,41) ], 
  [ (), ( 3,38)( 4,22)( 5,23)( 6,24)( 7,41)( 8,45)(10,26)(11,40)(12,32)(13,46)
        (15,29)(16,27)(18,35)(19,34)(21,31)(25,33)(28,30)(36,50)(37,48)(39,47)
        (42,49)(43,44), ( 1,14)( 2, 9)( 4,42)( 5,36)( 6,19)( 7,35)( 8,37)
        (11,13)(12,21)(16,33)(17,20)(18,41)(22,49)(23,50)(24,34)(25,27)(31,32)
        (39,47)(40,46)(43,44)(45,48), ( 1,17, 9)( 2,20,14)( 3, 4,42)( 5,15,36)
        ( 6,47,34)( 7,30,35)( 8,16,21)(12,33,37)(18,41,28)(19,24,39)(22,49,38)
        (23,29,50)(25,48,32)(27,31,45), ( 1,20)( 2,17)( 3,42)( 5,15)( 6,39)
        ( 7,30)( 8,33)( 9,14)(11,13)(12,16)(19,34)(21,37)(23,29)(24,47)(25,45)
        (27,32)(28,41)(31,48)(38,49)(40,46)(43,44) ], 
  [ (), ( 2, 5)( 3, 4)( 6,32)( 7, 9)( 8,25)(10,48)(11,47)(13,41)(14,34)(15,36)
        (16,35)(17,21)(18,42)(23,44)(24,38)(26,43)(27,46)(28,37)(29,39)(30,45)
        (33,50), ( 1,12)( 2,33)( 3, 4)( 5,50)( 6,46)( 7,48)( 8,26)( 9,10)
        (11,44)(13,45)(14,34)(15,24)(17,28)(19,31)(20,40)(21,37)(22,49)(23,47)
        (25,43)(27,32)(30,41)(36,38) ], 
  [ (), ( 2,39)( 3,50)( 5,48)( 6,33)( 7,38)( 8,44)( 9,36)(10,15)(11,23)(12,49)
        (13,29)(14,19)(16,32)(17,26)(18,27)(20,25)(22,28)(30,42)(31,37)(34,46)
        (40,45)(41,43), ( 1, 6)( 3,32)( 4,36)( 7,33)( 8,11)( 9,20)(10,43)
        (13,16)(14,47)(15,45)(18,25)(19,38)(22,23)(26,29)(27,35)(31,39)(34,37)
        (41,42)(44,49)(46,48), ( 1,14)( 2, 5)( 3,29)( 4,27)( 6,47)( 7,19)
        ( 9,25)(12,28)(15,42)(17,50)(18,20)(22,44)(23,49)(26,32)(30,40)(31,48)
        (33,38)(35,36)(39,46)(41,45), ( 1,18)( 2,34)( 3,45)( 4,19)( 5,37)
        ( 6,20)( 7,36)( 8,28)( 9,47)(10,50)(11,12)(13,30)(14,25)(15,29)(16,40)
        (17,43)(22,49)(26,42)(27,38)(32,41)(33,35)(39,48) ], 
  [ (), ( 2, 8)( 3,50)( 4,44)( 5,21)( 7,48)( 9,29)(10,37)(11,28)(12,30)(13,41)
        (14,36)(15,45)(17,42)(19,33)(20,38)(22,24)(23,35)(26,49)(27,39)(31,32)
        (43,47), ( 1, 5)( 3, 4)( 6,19)( 7,32)( 8,18)( 9,20)(10,38)(11,46)
        (12,25)(14,39)(15,47)(17,36)(22,48)(23,43)(24,31)(26,44)(27,42)(29,37)
        (35,45)(40,41)(49,50), ( 1,23,12)( 3, 7,20)( 4, 9,32)( 5,25,43)
        ( 6,28,19)( 8,16,18)(10,31,36)(11,46,33)(14,26,48)(15,30,47)(17,24,38)
        (21,35,45)(22,44,39)(27,37,50)(29,42,49)(34,40,41) ], 
  [ (), ( 1,13)( 2,19)( 3,32)( 4, 6)( 7,29)( 8,24)( 9,26)(10,50)(11,27)(12,25)
        (14,15)(16,46)(17,21)(18,36)(20,40)(22,45)(23,39)(30,35)(31,37)(33,41)
        (34,49)(38,43)(42,47)(44,48), ( 1,26)( 2,41)( 3,47)( 4,14)( 5,28)
        ( 6,15)( 7,40)( 8,44)( 9,13)(10,30)(11,27)(12,37)(16,46)(17,36)(18,21)
        (19,33)(20,29)(22,49)(23,39)(24,48)(25,31)(32,42)(34,45)(35,50)
        (38,43) ], 
  [ (), ( 2,30)( 3,37)( 4,16)( 5,20)( 6,21)( 7,42)( 8,34)( 9,35)(10,31)(12,40)
        (13,32)(14,18)(15,27)(17,28)(19,45)(22,50)(23,46)(26,38)(33,48)(36,43)
        , ( 1,49)( 2,12)( 3,13)( 4,45)( 6,18)( 7,42)( 8,15)( 9,17)(10,31)
        (11,29)(14,21)(16,19)(22,50)(23,26)(25,41)(27,34)(28,35)(30,40)(32,37)
        (36,43)(38,46) ], 
  [ (), ( 1,17)( 2,26)( 3,46)( 4,50)( 5,12)( 6,21)( 7,11)( 8,42)( 9,40)(13,49)
        (15,16)(18,32)(19,20)(22,34)(23,28)(24,33)(25,27)(29,31)(30,47)(35,37)
        (39,44)(43,48), ( 1,40)( 2,35)( 3,27)( 5,18)( 6,21)( 8,22)( 9,17)
        (10,38)(12,32)(13,19)(14,45)(15,16)(20,49)(23,44)(24,43)(25,46)(26,37)
        (28,39)(29,47)(30,31)(33,48)(34,42)(36,41) ], 
  [ (), ( 1,43)( 2,42)( 4,38)( 5,26)( 7,31)( 8,13)( 9,47)(10,46)(11,45)(12,30)
        (14,40)(15,34)(16,25)(17,39)(18,49)(22,48)(27,36)(28,37)(29,44)(32,35)
        (41,50), ( 1,47)( 2,16)( 3,20)( 4,31)( 5,28)( 7,38)( 8,10)( 9,43)
        (11,45)(12,34)(13,46)(14,40)(15,30)(18,36)(19,23)(21,33)(25,42)(26,37)
        (27,49)(29,50)(32,35)(41,44) ], 
  [ (), ( 1,50)( 2,28)( 3,29)( 4,41)( 6,10)( 7,27)( 8,31)( 9,43)(11,35)(12,21)
        (14,30)(15,26)(16,37)(17,24)(18,40)(19,36)(20,33)(22,42)(23,39)(25,38)
        (32,34)(44,46)(45,48)(47,49) ], 
  [ (), ( 1,35)( 3,43)( 4,16)( 5,29)( 6,26)( 7,42)( 8,33)( 9,50)(10,23)(11,27)
        (12,37)(13,36)(14,31)(17,21)(18,47)(19,44)(20,28)(22,38)(24,32)(25,41)
        (30,45)(40,48)(46,49) ], [ () ], 
  [ (), ( 7,43)( 8, 9)(10,44)(11,47)(12,28)(13,49)(14,33)(15,42)(16,35)(17,50)
        (18,37)(19,32)(20,39)(21,40)(23,30)(25,45)(27,48)(29,31), 
      ( 1,12,39,31,41,37,13,28, 3,21,45,18, 2,15,20,40,46,47,49,42, 4,29,25,11
         )( 5,24,26)( 6,36,38)( 7,32,14)( 8,50,23)( 9,17,30)(10,35,27)
        (16,48,44)(19,33,43), ( 1,21)( 2,29)( 3,12)( 4,15)( 5,36)( 6,24)
        ( 7,32)( 8,50)( 9,17)(10,35)(11,45)(13,31)(16,44)(18,25)(19,43)(20,42)
        (22,34)(26,38)(28,39)(37,41)(40,49)(46,47), 
      ( 1,49, 2,13)( 3,39, 4,20)(11,47,18,37)(12,42,15,28)(21,31,29,40)
        (25,46,45,41) ], 
  [ (), ( 1, 9)( 2,17)( 3,18)( 4,48)( 5, 8)( 6,26)( 7,28)(10,47)(13,35)(14,34)
        (15,32)(16,38)(19,50)(21,45)(23,33)(24,43)(25,49)(27,39)(30,36)(37,40)
        (41,46), ( 1,34,35,26)( 2,33,23,17)( 3,16,38,18)( 4,21,28, 8)
        ( 5, 7,45,48)( 6,13,14, 9)(10,47)(11,19,44,50)(12,31)(15,24,49,39)
        (20,30,22,36)(25,43,32,27)(29,46,42,41)(37,40), 
      ( 1,35)( 2,23)( 3,38)( 4,28)( 5,45)( 6,14)( 7,48)( 8,21)( 9,13)(11,44)
        (15,49)(16,18)(17,33)(19,50)(20,22)(24,39)(25,32)(26,34)(27,43)(29,42)
        (30,36)(41,46) ], 
  [ ( 7,42)( 8,33)( 9,10)(11,15)(12,25)(13,45)(16,46)(17,48)(18,26)(19,49)
        (20,38)(21,29)(22,31)(23,34)(27,44)(28,39)(30,32)(35,40)(36,43)(41,50)
        , ( 1, 2)( 3, 4)( 7,22)( 8,33)(11,12)(13,32)(15,25)(16,48)(17,46)
        (18,28)(19,20)(21,34)(23,29)(24,37)(26,39)(27,43)(30,45)(31,42)(35,41)
        (36,44)(38,49)(40,50) ], 
  [ (), ( 3,32,48)( 4,29,21)( 5,44,16)( 6,37,33)( 7,50,27)( 8,23,38)(10,22,18)
        (11,40,36)(12,47,35)(14,26,30)(15,49,17)(19,43,46)(20,24,42)(25,45,28)
        , ( 3,48,32)( 4,21,29)( 5,16,44)( 6,33,37)( 7,27,50)( 8,38,23)
        (10,18,22)(11,36,40)(12,35,47)(14,30,26)(15,17,49)(19,46,43)(20,42,24)
        (25,28,45), ( 1,12)( 2,35)( 4,48)( 5,20)( 6,29)( 7,31)( 8,25)(10,49)
        (11,43)(13,27)(14,16)(15,28)(17,46)(18,36)(19,38)(22,23)(24,30)(32,37)
        (34,47)(40,45)(41,50), ( 1,27, 2, 7)( 3,44, 4,16)( 5,37)( 6,42,33,30)
        ( 8,10)( 9,39)(11,45,49,19)(12,13)(14,21,24,32)(15,22,40,18)
        (17,25,36,43)(20,29,26,48)(23,46,38,28)(31,35,41,47)(34,50) ], 
  [ (), ( 1,37)( 2,13)( 3, 4)( 5,38)( 6,11)( 8,24)( 9,44)(10,12)(14,19)(15,21)
        (16,40)(17,47)(20,48)(25,32)(26,34)(29,42)(31,43)(33,50)(35,46)(39,49)
        , ( 1,49)( 2,31)( 3,29)( 4,42)( 5,40)( 6,44)( 7,36)( 8,12)( 9,11)
        (10,24)(13,43)(14,46)(15,26)(16,38)(17,25)(18,45)(19,35)(20,50)(21,34)
        (23,30)(27,28)(32,47)(33,48)(37,39) ], 
  [ ( 1,19)( 2,33)( 3,38)( 4,12)( 5,49)( 6,42)( 7,48)( 8,26)(10,27)(11,39)
        (13,17)(14,16)(15,40)(18,25)(20,47)(21,23)(22,41)(24,31)(28,44)(30,35)
        (32,45)(34,43)(36,37)(46,50), ( 1,32)( 2,14)( 3,42)( 4,43)( 5,10)
        ( 6,38)( 7,48)( 8,21)( 9,29)(11,39)(12,34)(13,17)(15,18)(16,33)(19,45)
        (20,44)(22,37)(23,26)(25,40)(27,49)(28,47)(30,35)(36,41) ], 
  [ (), ( 7,36)( 8, 9)(10,46)(11,23)(13,17)(21,29)(22,26)(24,47)(25,39)(27,35)
        (30,37)(32,49)(33,40)(34,43)(41,50)(45,48), 
      ( 1,28)( 2,20)( 3,15)( 5,14)( 6,19)( 7,50)( 8,24)( 9,47)(11,32)(12,42)
        (13,34)(16,44)(17,43)(18,38)(21,35)(22,48)(23,49)(25,37)(26,45)(27,29)
        (30,39)(36,41) ], 
  [ (), ( 2,44)( 3,32)( 5,20)( 7,12)( 8,41)( 9,19)(10,37)(13,30)(14,46)(15,42)
        (17,40)(18,21)(22,26)(23,35)(24,45)(25,33)(27,28)(38,39)(43,50)(47,49)
        , ( 2,50)( 3,13)( 4, 6)( 5,37)( 7,26)( 8,42)( 9,27)(10,20)(12,22)
        (14,46)(15,41)(16,48)(17,49)(18,45)(19,28)(21,24)(29,31)(30,32)(38,39)
        (40,47)(43,44) ], 
  [ ( 7,10)( 8,17)( 9,38)(11,32)(12,42)(13,14)(15,31)(16,50)(18,48)(19,41)
        (20,37)(21,43)(22,36)(23,27)(24,39)(25,34)(26,35)(28,49)(29,45)(30,40)
        (33,44)(46,47), ( 7,38)( 8,22)( 9,10)(11,13)(12,40)(14,32)(15,44)
        (17,36)(18,37)(20,48)(23,45)(27,29)(28,46)(30,42)(31,33)(47,49), 
      ( 7,49,38,47)( 8,11,22,13)( 9,28,10,46)(12,15,40,44)(14,36,32,17)
        (18,27,37,29)(20,23,48,45)(30,31,42,33), 
      ( 2,35,41,34, 6,25,19,26)( 3,21,50,24, 5,39,16,43)( 7,46,33,48, 8,14,27,
         12)( 9,30,45,11,36,37,15,49)(10,42,23,13,17,18,44,47)(20,22,32,29,40,
         38,28,31), ( 2,41, 6,19)( 3,50, 5,16)( 7,33, 8,27)( 9,45,36,15)
        (10,23,17,44)(11,37,49,30)(12,46,48,14)(13,18,47,42)(20,32,40,28)
        (21,24,39,43)(22,29,38,31)(25,26,35,34), 
      ( 1, 4)( 2, 3)( 5, 6)( 7,28,49,10,38,46,47, 9)( 8,32,11,17,22,14,13,36)
        (12,30,15,31,40,42,44,33)(16,41)(18,23,27,48,37,45,29,20)(19,50)
        (21,26)(24,25)(34,39)(35,43) ], 
  [ (), ( 1,38)( 2, 3)( 5,13)( 6,15)( 7,48)( 8,31)( 9,42)(10,40)(11,43)(12,22)
        (14,50)(16,20)(17,27)(18,19)(21,29)(23,24)(25,33)(26,28)(30,46)(32,41)
        (34,35)(36,45)(39,47) ], 
  [ (), ( 7,10, 9,32)( 8,19,43,27)(11,36,20,48)(13,29,47,31)(14,39,28,50)
        (15,24,49,33)(16,34,18,46)(21,35,40,25)(23,26,45,42), 
      ( 7,32, 9,10)( 8,27,43,19)(11,48,20,36)(13,31,47,29)(14,50,28,39)
        (15,33,49,24)(16,46,18,34)(21,25,40,35)(23,42,45,26), 
      ( 1,38)( 2,44)( 3,30)( 4,22)( 5,12)( 6,17)( 7,21)( 8,27)( 9,40)(10,25)
        (11,46)(13,31)(14,23)(15,33)(16,48)(18,36)(19,43)(20,34)(24,49)(26,50)
        (28,45)(29,47)(32,35)(39,42), ( 1,44)( 2,38)( 3,22)( 4,30)( 5,12)
        ( 6,17)( 7,21, 9,40)( 8,27,43,19)(10,35,32,25)(11,34,20,46)
        (13,24,47,33)(14,39,28,50)(15,29,49,31)(16,36,18,48)(23,26,45,42)
        (37,41) ], 
  [ (), ( 1, 3)( 2, 8)( 4, 5)( 9,22)(10,29)(12,21)(14,32)(15,23)(16,50)(17,48)
        (18,24)(19,30)(20,49)(25,39)(26,43)(27,47)(28,40)(33,37)(34,42)(35,45)
        (36,46)(38,41) ], 
  [ ( 1,37)( 2,45)( 3,17)( 4,23)( 5,13)( 7,18)( 8,48)( 9,49)(10,14)(11,41)
        (12,44)(15,32)(20,33)(22,24)(26,50)(27,31)(30,46)(34,39)(35,40)
        (36,42) ], 
  [ (), ( 1,20)( 2,13)( 3,45)( 4,23)( 5,24)( 9,35)(10,32)(12,42)(14,26)(15,40)
        (16,21)(18,19)(25,49)(27,46)(29,33)(30,37)(34,41)(39,50)(43,44) ], 
  [ (), ( 2, 9)( 3,23)( 4,12)( 5,36)( 6,32)( 7,11)( 8,46)(10,39)(13,22)(14,19)
        (15,43)(18,27)(20,24)(21,34)(25,48)(26,42)(33,47)(35,45)(37,41)(38,49)
        (40,50), ( 2,21)( 3,46)( 4,45)( 5,43)( 6,32)( 7,11)( 8,23)( 9,34)
        (10,48)(12,35)(14,50)(15,36)(16,28)(17,29)(18,24)(19,40)(20,27)(25,39)
        (26,38)(30,44)(37,41)(42,49), ( 2,34)( 3, 8)( 4,35)( 5,15)( 9,21)
        (10,25)(12,45)(13,22)(14,40)(16,28)(17,29)(18,20)(19,50)(23,46)(24,27)
        (26,49)(30,44)(33,47)(36,43)(38,42)(39,48), 
      ( 1,31)( 3,20)( 4,19)( 6,28)( 7,30)( 8,24)( 9,34)(10,26)(11,44)(12,50)
        (14,35)(15,36)(16,32)(17,41)(18,23)(25,42)(27,46)(29,37)(38,48)(39,49)
        (40,45) ], 
  [ ( 1, 4)( 2,10)( 3,49)( 5,39)( 6,34)( 9,21)(11,26)(12,30)(13,37)(14,33)
        (17,35)(18,20)(19,29)(22,38)(23,45)(24,40)(25,31)(27,47)(28,41)(32,36)
        (42,50)(44,46), ( 1,10, 3)( 2, 4,49)( 5,39,15)( 6,21,42)( 9,34,50)
        (11,12,18)(14,46,41)(17,19,23)(20,30,26)(22,31,40)(24,25,38)(27,48,47)
        (28,44,33)(29,35,45), ( 1,28, 3,33,10,44)( 2,14,49,41, 4,46)
        ( 5,27,15,47,39,48)( 6,19,42,17,21,23)( 7,43)( 9,35,50,29,34,45)
        (11,20,18,26,12,30)(13,36)(22,25,40,24,31,38)(32,37) ], 
  [ (), ( 2, 6)( 3, 5)( 7,13)( 8,47)(11,38)(12,36)(14,46)(15,26)(16,33)(18,41)
        (20,35)(22,44)(24,43)(25,34)(27,39)(28,40)(29,37)(30,42), 
      ( 2,14)( 3,37)( 5,29)( 6,46)( 7,13)( 8,47)(11,20)(12,16)(17,23)(18,41)
        (19,21)(22,25)(24,27)(28,30)(31,32)(33,36)(34,44)(35,38)(39,43)(40,42)
        (45,48)(49,50), ( 2,46)( 3,29)( 5,37)( 6,14)(11,35)(12,33)(15,26)
        (16,36)(17,23)(19,21)(20,38)(22,34)(24,39)(25,44)(27,43)(28,42)(30,40)
        (31,32)(45,48)(49,50), ( 1, 4)( 2, 3)( 5, 6)( 7,47)( 8,13)(11,38)
        (12,40)(14,37)(15,26)(16,42)(17,45)(18,41)(19,21)(20,35)(22,44)(23,48)
        (24,39)(25,34)(27,43)(28,36)(29,46)(30,33)(31,49)(32,50), 
      ( 1,26, 4,15)( 2,28,37,33)( 3,36,14,30)( 5,40,46,16)( 6,12,29,42)
        ( 7,39, 8,27)( 9,10)(11,23,35,45)(13,43,47,24)(17,38,48,20)(18,19)
        (21,41)(22,32,34,49)(25,31,44,50) ], 
  [ (), ( 1,46)( 2,28)( 3,34)( 4,23)( 5,20)( 6,41)( 7,13)( 8,16)(11,32)(12,31)
        (14,18)(15,29)(17,35)(19,24)(21,25)(26,36)(27,42)(30,43)(33,48)(37,38)
        (40,44)(45,50) ], 
  [ (), ( 1, 2)( 3, 4)( 6,15)( 9,12)(10,14)(11,31)(13,46)(16,20)(17,35)(18,45)
        (21,38)(22,36)(23,33)(24,50)(25,37)(26,40)(27,48)(28,32)(29,41)(34,49)
        (39,44)(43,47) ], 
  [ ( 7, 8)( 9,43)(10,27)(11,21)(12,46)(13,15)(14,47)(17,50)(18,29)(19,32)
        (20,41)(22,34)(23,36)(24,31)(25,38)(26,33)(30,42)(35,40)(39,48)(44,49)
        , ( 7,10, 9,32)( 8,19,43,27)(11,39,48,21)(12,28,46,37)(13,49,18,35)
        (15,40,29,44)(16,20,45,41)(22,30,42,34)(23,25,38,36), 
      ( 7,43)( 8, 9)(10,19)(11,39)(13,29)(14,47)(15,18)(16,45)(17,50)(21,48)
        (22,30)(23,25)(24,31)(26,33)(27,32)(28,37)(34,42)(35,44)(36,38)(40,49)
        , ( 1,35,11,17,21,13)( 2,15,38,50,25,40)( 3,29,23,31,36,44)
        ( 4,49,48,24,39,18)( 5,30,22, 6,34,42)( 7,16, 9,12,19,46)
        ( 8,20,32,41,43,37)(10,28)(14,33)(27,45), 
      ( 1,38, 4,23)( 2,11, 3,48)( 5,22, 6,42)( 7,27,19, 9)( 8,43,10,32)
        (12,45,16,46)(13,31,18,50)(14,33)(15,35)(17,40,24,44)(20,28,37,41)
        (21,25)(26,47)(29,49)(36,39), ( 1,48, 4,11)( 2,23, 3,38)( 5,42, 6,22)
        ( 7, 8,19,10)( 9,32,27,43)(12,41,16,28)(13,17,18,24)(20,46,37,45)
        (31,40,50,44) ], 
  [ (), ( 1, 6)( 4, 5)( 7,33)( 8,10)( 9,46)(13,34)(15,47)(17,40)(18,26)(19,50)
        (21,42)(22,37)(23,24)(28,48)(29,49)(31,43)(32,39)(35,45), 
      ( 1,17)( 2, 3)( 4,47)( 5,15)( 6,40)( 8,10)(11,30)(13,42)(14,25)(18,48)
        (19,31)(20,38)(21,34)(22,37)(26,28)(29,45)(32,39)(35,49)(36,41)(43,50)
        , ( 1,47, 6,15)( 4,17, 5,40)( 7, 8,33,10)( 9,22,46,37)(13,29,34,49)
        (18,31,26,43)(19,48,50,28)(21,45,42,35)(23,32,24,39) ], 
  [ (), ( 2,17)( 3,28)( 4,12)( 5,42)( 6,33)( 7,26)( 8,21)( 9,39)(10,32)(11,44)
        (13,38)(14,24)(15,20)(16,36)(18,29)(19,27)(22,43)(23,48)(25,47)(31,35)
        (34,37)(40,46)(41,50)(45,49) ], [ () ], [ () ], 
  [ ( 1, 4)( 2, 5)( 3, 6)( 7, 8)( 9,33)(11,25)(12,26)(13,50)(14,46)(15,29)
        (16,23)(17,36)(18,32)(19,39)(20,41)(21,45)(22,38)(24,34)(27,35)(28,31)
        (30,37)(40,44)(42,49)(43,48) ], 
  [ (), ( 1, 9)( 2,18)( 4,46)( 5,16)( 7,44)( 8,45)(10,37)(11,41)(12,32)(13,17)
        (19,23)(20,50)(21,27)(22,36)(24,34)(26,28)(30,38)(31,42)(33,43)(39,40)
        (48,49), ( 1,23)( 3,35)( 4,10)( 5, 8)( 6,29)( 9,19)(11,17)(13,41)
        (16,45)(20,22)(21,42)(24,33)(26,30)(27,31)(28,38)(34,43)(36,50)(37,46)
        (39,49)(40,48) ], 
  [ ( 9,10,31)(11,20,38)(12,21,32)(13,22,33)(14,23,34)(15,24,35)(16,18,36)
        (17,19,37)(25,50,42)(26,45,43)(27,46,44)(28,47,39)(29,48,40)(30,49,41)
        , ( 9,31,10)(11,38,20)(12,32,21)(13,33,22)(14,34,23)(15,35,24)
        (16,36,18)(17,37,19)(25,42,50)(26,43,45)(27,44,46)(28,39,47)(29,40,48)
        (30,41,49), ( 2, 6)( 3, 5)( 9,33)(10,22)(12,35)(13,31)(14,19)(15,32)
        (17,23)(18,36)(20,38)(21,24)(25,49)(26,44)(27,43)(28,40)(29,39)(30,50)
        (34,37)(41,42)(45,46)(47,48), ( 1, 2)( 3, 4)( 9,33)(10,22)(11,45)
        (12,39)(13,31)(14,29)(15,17)(16,42)(18,50)(19,35)(20,26)(21,47)(23,40)
        (24,37)(25,36)(27,44)(28,32)(30,49)(34,48)(38,43) ], 
  [ (), ( 2,48,30)( 4,15,25)( 5,18,47)( 6,29,20)( 7,34,43)( 8,42,10)(11,45,19)
        (12,39,49)(13,22,33)(14,36,27)(17,38,35)(21,28,41)(23,46,37)(24,31,44)
        , ( 1, 3)( 2, 4)( 5, 6)( 8,10)(11,35)(12,36)(13,23)(14,39)(15,30)
        (16,26)(17,19)(18,20)(21,41)(22,37)(24,44)(25,48)(27,49)(29,47)(32,50)
        (33,46)(34,43)(38,45), ( 1,16)( 3,26)( 5,45)( 6,38)( 8,44)( 9,40)
        (10,24)(11,18)(12,49)(15,25)(17,29)(19,47)(20,35)(21,41)(22,33)(27,36)
        (30,48)(31,42)(34,43)(37,46) ], 
  [ (), ( 1, 2)( 3, 4)( 7,50)( 9,45)(11,44)(12,27)(13,14)(15,20)(16,24)(17,26)
        (18,25)(21,28)(22,23)(29,37)(30,32)(31,38)(33,49)(34,43)(35,36)(39,42)
        (40,41)(47,48) ], 
  [ (), ( 1, 4)( 2, 3)( 5, 6)( 7, 8)( 9,43)(10,41)(12,36)(13,20)(14,34)(15,44)
        (16,17)(18,39)(19,23)(21,32)(22,24)(26,49)(27,45)(28,31)(30,38)(33,42)
        (35,48)(46,47) ], 
  [ (), ( 1, 7, 4, 9)( 2,34, 3,48)( 5,36, 6, 8)(10,11,45,15)(12,49,37,31)
        (13,41,47,46)(14,18,24,30)(16,19,27,26)(17,29)(20,50,22,38)
        (21,40,42,33)(23,28,43,35)(25,32,39,44) ], 
  [ (), ( 1,27)( 2,30)( 4, 8)( 5,24)( 6,37)( 7,46)(10,42)(11,35)(12,38)(13,25)
        (14,31)(15,26)(16,49)(18,21)(19,45)(20,34)(22,40)(28,33)(29,36)(41,44)
        (48,50) ], 
  [ (), ( 1,19,43,11)( 2,33,16,18)( 3, 9,31,47)( 4,13,35,48)( 5,30,17,20)
        ( 6,38, 8,37)( 7,15,46,50)(10,29,12,23)(14,34,25,45)(21,36,22,32)
        (24,49,26,44)(27,42,28,41), ( 1,43)( 2,16)( 3,31)( 4,35)( 5,17)( 6, 8)
        ( 7,46)( 9,47)(10,12)(11,19)(13,48)(14,25)(15,50)(18,33)(20,30)(21,22)
        (23,29)(24,26)(27,28)(32,36)(34,45)(37,38)(41,42)(44,49) ], 
  [ (), ( 9,10)(11,43)(12,50)(13,38)(14,45)(15,36)(16,49)(17,46)(18,44)(19,39)
        (20,28)(21,47)(22,40)(23,42)(25,29)(26,48)(27,31)(30,37)(32,35)(33,41)
        , ( 2, 5)( 3, 4)( 6, 8)( 9,44)(10,18)(11,40)(12,50)(13,29)(15,28)
        (16,39)(17,30)(19,49)(20,36)(21,32)(22,43)(25,38)(26,41)(33,48)(35,47)
        (37,46), ( 1, 3)( 2, 7)( 4, 6)( 5, 8)( 9,11)(10,43)(12,49)(13,28)
        (14,17)(15,36)(16,50)(18,27)(19,42)(20,38)(21,41)(22,30)(23,39)(25,32)
        (26,48)(29,35)(31,44)(33,47)(37,40)(45,46), 
      ( 1,46, 6,17)( 4,19, 5,39)( 7,44, 8,18)( 9,50,30,42)(10,23,37,12)
        (11,43,27,31)(13,48,15,47)(14,45,40,22)(16,49)(20,29,35,41)
        (21,36,26,38)(24,34)(25,28,33,32) ], 
  [ (), ( 3,10)( 4,39)( 5,18)( 6,22)( 7,49)( 8,38)( 9,23)(11,48)(12,29)(14,41)
        (15,32)(16,30)(19,31)(20,24)(25,43)(26,34)(28,35)(40,50)(42,44)(45,46)
        , ( 1,23,47, 9)( 2,12,37,29)( 3,30, 8, 4)( 5,40,15,20)( 6,25,41,31)
        ( 7,42,46,35)(10,39,38,16)(11,17,48,13)(14,43,22,19)(18,24,32,50)
        (21,27)(26,34)(28,45,44,49)(33,36), 
      ( 1,47)( 2,37)( 3, 8)( 4,30)( 5,15)( 6,41)( 7,46)( 9,23)(10,38)(11,48)
        (12,29)(13,17)(14,22)(16,39)(18,32)(19,43)(20,40)(24,50)(25,31)(28,44)
        (35,42)(45,49) ], 
  [ (), ( 2, 5)( 3, 4)( 6,24)( 7,11)( 8,40)( 9,49)(10,18)(12,28)(13,29)(16,50)
        (19,42)(20,43)(21,22)(23,47)(25,45)(26,27)(30,48)(32,44)(33,37)(36,41)
        (38,46), ( 2, 8,36)( 3,26,49)( 4, 9,27)( 5,41,40)( 6,23,11)( 7,47,24)
        (10,18,17)(12,14,28)(13,15,29)(16,30,21)(22,48,50)(25,33,32)(37,45,44)
        (38,39,46), ( 2,36, 8)( 3,49,26)( 4,27, 9)( 5,40,41)( 6,11,23)
        ( 7,24,47)(10,17,18)(12,28,14)(13,29,15)(16,21,30)(22,50,48)(25,32,33)
        (37,44,45)(38,46,39), ( 2,40)( 3,27)( 4,49)( 5,36)( 6,47)( 7,23)
        ( 8,41)( 9,26)(11,24)(12,14)(13,15)(16,48)(17,18)(19,42)(20,43)(21,50)
        (22,30)(25,37)(32,45)(33,44)(38,39), 
      ( 2,41)( 3, 9)( 4,26)( 5, 8)( 6, 7)(10,17)(11,47)(14,28)(15,29)(16,22)
        (19,42)(20,43)(21,48)(23,24)(25,44)(27,49)(30,50)(32,37)(33,45)(36,40)
        (39,46), ( 1,10)( 2, 4)( 3,33)( 5,37)( 6, 8)( 7,32)( 9,24)(11,26)
        (12,15)(13,14)(16,50)(19,22)(20,43)(21,48)(23,45)(25,36)(27,44)(30,42)
        (35,46)(40,49)(41,47) ], [ () ], 
  [ (), ( 2,21)( 3,49)( 4,18)( 5,32)( 6,22)( 7,36)( 8,23)( 9,16)(10,15)(12,44)
        (14,42)(17,47)(19,33)(24,40)(25,50)(26,28)(30,46)(34,43)(35,39)(38,48)
        (41,45), ( 1,13)( 3,15)( 4,26)( 5, 8)( 6,42)( 9,12)(10,49)(11,27)
        (14,22)(16,44)(17,40)(18,28)(19,25)(20,29)(23,32)(24,47)(33,50)(34,41)
        (35,38)(39,48)(43,45) ], 
  [ (), ( 1, 3)( 2,26)( 4,12)( 5,49)( 6,42)( 8,44)( 9,30)(10,50)(11,45)(14,24)
        (15,34)(16,35)(17,22)(19,20)(21,43)(28,47)(29,37)(31,38)(36,46)(39,41)
        (40,48), ( 1,50,31,34)( 2,13,26,32)( 3,15,38,10)( 4,22,46,37)
        ( 5, 6,47,19)( 7,25)( 8,21,14,40)( 9,30,45,11)(12,29,36,17)
        (16,18,35,27)(20,28,42,49)(23,41,33,39)(24,43,44,48) ], 
  [ (), ( 1,41)( 2,48)( 3,30)( 4,20)( 5,16)( 7,39)( 8,31)( 9,18)(10,28)(11,26)
        (12,49)(13,29)(14,33)(15,36)(17,27)(21,46)(22,38)(23,50)(24,47)(25,45)
        (32,44)(37,42), ( 1,48)( 2,41)( 3,20)( 4,30)( 5,16)( 6,40)( 7,38)
        ( 8, 9)(10,47)(11,23)(12,37)(15,36)(17,32)(18,31)(19,34)(21,46)(22,39)
        (24,28)(25,45)(26,50)(27,44)(35,43)(42,49) ], 
  [ (), ( 1,26)( 2,34)( 3,49)( 4, 9)( 5,31)( 6,30)( 7,28)( 8,37)(10,43)(11,24)
        (12,21)(13,36)(14,42)(15,38)(16,39)(17,45)(23,41)(27,29)(32,50)(33,40)
        (35,44)(47,48), ( 1,39)( 2,27)( 3,13)( 5,31)( 6,21)( 7,23)( 8,43)
        (10,37)(11,24)(12,30)(14,50)(15,44)(16,26)(17,48)(25,46)(28,41)(29,34)
        (32,42)(35,38)(36,49)(45,47), ( 1,49)( 2,37)( 3,26)( 4,31)( 5, 9)
        ( 6,30)( 7,28)( 8,34)(10,29)(11,33)(13,39)(14,38)(15,42)(16,36)(18,22)
        (19,20)(24,40)(27,43)(32,35)(44,50)(47,48) ], [ () ], 
  [ (), ( 1,11)( 2,22)( 5,20)( 6,32)( 7,19)( 8,44)( 9,35)(12,17)(13,25)(14,26)
        (16,40)(18,49)(23,45)(24,48)(27,39)(28,33)(29,37)(30,50)(31,38)(34,42)
        (36,47)(43,46), ( 1,22)( 2,11)( 3, 4)( 5,20)( 6,32)( 7,44)( 8,19)
        ( 9,12)(10,15)(13,34)(14,28)(16,40)(17,35)(18,50)(21,41)(23,47)(24,48)
        (25,42)(26,33)(27,37)(29,39)(30,49)(36,45), 
      ( 1,23)( 2,36)( 5,24)( 6,40)( 7,28)( 8,26)(10,15)(11,45)(13,18)(14,44)
        (16,32)(19,33)(20,48)(21,41)(22,47)(25,49)(27,39)(29,37)(30,42)(31,38)
        (34,50), ( 1,45)( 2,47)( 5,48)( 6,16)( 7,33)( 8,14)( 9,35)(10,15)
        (11,23)(12,17)(13,49)(18,25)(19,28)(20,24)(21,41)(22,36)(26,44)(30,34)
        (32,40)(42,50)(43,46) ], 
  [ (), ( 1,10)( 2,39)( 3,49)( 4,43)( 5,42)( 7,16)( 8,24)( 9,11)(12,13)(14,15)
        (17,41)(18,25)(19,32)(20,26)(21,38)(22,28)(23,40)(27,35)(29,45)(30,47)
        (31,36)(33,50)(34,46)(37,48) ], 
  [ (), ( 1, 4)( 2, 8)( 3, 5)( 6, 7)(10,47)(11,23)(12,30)(13,36)(14,42)(15,46)
        (16,22)(17,34)(19,26)(21,40)(24,48)(25,41)(27,28)(29,33)(35,38)(37,45)
        (39,44)(43,49), ( 1, 8)( 2, 4)( 3, 6)( 5, 7)( 9,20)(10,11)(12,40)
        (13,16)(14,17)(18,31)(19,37)(21,30)(22,36)(23,47)(24,48)(25,38)(26,45)
        (27,29)(28,33)(34,42)(35,41)(39,44) ], 
  [ ( 7, 9)( 8,18)(10,22)(14,46)(15,45)(19,20)(23,39)(26,43)(27,42)(28,30)
        (29,36)(32,41)(33,40)(44,47)(49,50), 
      ( 3,48)( 4,38)( 5,35)( 6,25)( 7,15)( 8,14)( 9,45)(11,24)(12,21)(16,37)
        (17,34)(18,46)(19,49)(20,50)(23,39)(26,42)(27,43)(28,40)(29,41)(30,33)
        (32,36), ( 2,13)( 3,12)( 4,11)( 5,17)( 6,16)( 7,14)( 8,15)( 9,46)
        (10,44)(18,45)(19,50)(20,49)(21,48)(22,47)(23,39)(24,38)(25,37)(26,43)
        (27,42)(28,41)(29,40)(30,32)(33,36)(34,35) ], 
  [ ( 6,38)( 7,50)( 8,13)(10,33)(11,26)(12,25)(14,16)(18,36)(19,27)(21,23)
        (32,43)(35,44)(37,47)(40,48), ( 2,30)( 3,17)( 4,46)( 6,12)( 7,33)
        ( 8,47)(10,50)(11,44)(13,37)(14,23)(15,29)(16,21)(18,43)(19,40)(20,41)
        (24,31)(25,38)(26,35)(27,48)(32,36)(42,49), 
      ( 1, 5)( 3, 4)( 6,33)( 7,12)( 8,47)( 9,45)(10,38)(11,44)(13,37)(14,32)
        (15,41)(16,43)(17,46)(18,21)(20,29)(22,28)(23,36)(24,49)(25,50)(26,35)
        (31,42)(34,39), ( 1,39, 9,28)( 3,31,42, 4)( 5,22,45,34)( 6, 8, 7,11)
        (10,35,25,37)(12,47,33,44)(13,50,26,38)(14,32,23,36)(15,41,29,20)
        (16,43,21,18)(17,24,49,46)(19,27)(40,48) ], 
  [ (), ( 1,14)( 2,17)( 3,12)( 4,13)( 5,40)( 6,25)( 8,20)( 9,19)(10,18)(21,23)
        (24,27)(26,32)(29,46)(30,41)(31,48)(34,50)(35,49)(36,37)(38,44)(39,43)
        (42,45) ], 
  [ (), ( 1,13)( 3,32)( 4,26)( 5,20)( 6,49)( 7,25)( 8,10)( 9,24)(11,33)(12,23)
        (14,41)(15,22)(16,21)(18,42)(19,50)(27,35)(28,30)(29,43)(31,37)(34,40)
        (36,46)(38,45)(39,48)(44,47) ], 
  [ ( 1,25)( 2,41)( 3,26)( 4,44)( 5,17)( 6,13)( 7,35)( 8,38)( 9,20)(10,32)
        (11,22)(12,40)(14,18)(15,34)(19,39)(21,27)(23,42)(24,37)(28,31)(29,45)
        (30,47)(46,48)(49,50) ], 
  [ (), ( 1, 5)( 3, 4)( 6,36)( 7,18)( 8,20)( 9,32)(10,15)(12,28)(13,31)(14,26)
        (17,29)(19,35)(21,42)(22,50)(23,38)(24,45)(25,33)(27,37)(30,41)(34,47)
        (40,44)(43,48), ( 1,17, 5,29)( 2,46)( 3,10, 4,15)( 6,20,36, 8)
        ( 7,28,18,12)( 9,27,32,37)(11,49)(13,25,31,33)(14,48,26,43)(16,39)
        (19,30,35,41)(21,44,42,40)(22,34,50,47)(23,24,38,45) ], 
  [ (), ( 2,20)( 3,19)( 4,18)( 5,17)( 7,10)( 8,43)( 9,32)(12,42)(14,36)(15,48)
        (16,38)(21,44)(22,45)(23,26)(25,39)(27,30)(28,50)(29,49)(31,40)(33,34)
        (35,47)(37,41), ( 1,40,49,20,11, 2,29,31)( 3, 5, 4,18,17,19,28,50)
        ( 6,46)( 7,30,16,25,23,37, 8,36)( 9,15,48,32,34,47,35,33)
        (10,14,43,41,26,39,38,27)(12,44)(13,24)(21,42)(22,45), 
      ( 1,49,11,29)( 2,31,40,20)( 3, 4,17,28)( 5,18,19,50)( 7,16,23, 8)
        ( 9,48,34,35)(10,43,26,38)(14,41,39,27)(15,32,47,33)(25,37,36,30) ], 
  [ (), ( 1,14)( 2,13)( 3,50)( 4,17)( 5,30)( 6,15)( 7,31)( 8,10)( 9,18)(11,32)
        (12,48)(19,24)(20,45)(21,23)(22,49)(26,33)(27,35)(28,46)(29,42)(34,36)
        (37,40)(38,44)(39,41), ( 1,48)( 2,32)( 3,30)( 4,45)( 5,50)( 6,47)
        ( 8,24)( 9,12)(10,36)(14,37)(15,43)(16,46)(17,29)(18,40)(19,21)(20,39)
        (22,26)(23,34)(25,28)(27,44)(41,42) ], [ () ], 
  [ (), ( 1,42)( 2,43)( 3,30)( 5,22)( 6,38)( 7,19)( 8,44)( 9,41)(10,28)(11,24)
        (12,18)(13,29)(14,33)(15,20)(16,36)(21,45)(23,40)(25,47)(26,49)(34,35)
        (46,50) ], 
  [ (), ( 1, 4)( 2, 3)( 5, 6)( 7,17)( 8,13)( 9,50)(10,19)(11,31)(12,48)(14,37)
        (15,44)(16,38)(18,47)(20,49)(21,28)(22,29)(23,27)(24,34)(25,36)(26,45)
        (30,42)(32,46)(33,39)(35,41), ( 1,39)( 2,44)( 3,15)( 4,19)( 5,30)
        ( 6,27)( 7,13)( 8,18)( 9,22)(10,41)(11,37)(12,46)(14,31)(16,43)(17,26)
        (21,42)(23,28)(29,32)(33,35)(36,49)(38,40)(45,47)(48,50), 
      ( 1,41)( 4,35)( 5,28)( 6,21)( 7,47)( 8,26)( 9,46)(10,39)(12,22)(13,45)
        (16,38)(17,18)(19,33)(20,25)(23,30)(27,42)(29,48)(32,50)(36,49)
        (40,43) ], 
  [ (), ( 1,21)( 2,48)( 3,16)( 4,43)( 5,33)( 6,44)( 7,18)( 9,31)(10,14)(11,37)
        (12,40)(13,30)(15,46)(20,25)(22,41)(23,32)(24,47)(28,50)(29,35)(38,42)
        (39,49) ], 
  [ (), ( 1,41)( 2,19)( 3,13)( 4,29)( 5,20)( 6,15)( 7,44)( 8,23)( 9,37)(10,47)
        (11,28)(12,36)(14,46)(16,35)(17,26)(18,45)(21,49)(22,31)(24,42)(25,34)
        (27,43)(30,33)(32,40)(38,48)(39,50), 
      ( 1,46)( 3, 9)( 5, 6)( 7,10)( 8,38)(12,24)(13,37)(14,41)(15,20)(16,35)
        (17,30)(18,39)(21,27)(23,48)(25,32)(26,33)(34,40)(36,42)(43,49)(44,47)
        (45,50) ], 
  [ (), ( 2,40)( 3,18)( 4,50)( 5,30)( 7,32)( 8,20)( 9,11)(12,31)(13,47)(14,49)
        (15,27)(16,26)(17,42)(21,23)(22,46)(24,37)(33,43)(34,44)(35,41)(38,48)
        (39,45), ( 1, 6)( 4, 5)( 7,33)( 8,16)(12,34)(14,49)(15,38)(19,28)
        (20,26)(21,39)(23,45)(27,48)(30,50)(31,44)(32,43)(35,41), 
      ( 1,31,49,34, 6,44,14,12)( 2,13)( 3,18)( 4,20,21,32, 5,26,39,43)
        ( 7,23, 8,50,33,45,16,30)( 9,24)(10,36)(11,37)(15,28,27,41,38,19,48,35
         )(22,46)(25,29)(40,47), ( 1,44,49,12, 6,31,14,34)( 2,13)( 3,18)
        ( 4,26,21,43, 5,20,39,32)( 7,45, 8,30,33,23,16,50)( 9,24)(10,36)
        (11,37)(15,19,27,35,38,28,48,41)(22,46)(25,29)(40,47) ], 
  [ (), ( 1, 3)( 2, 4)( 5, 6)(11,28)(13,49)(14,24)(15,40)(16,19)(17,27)(18,45)
        (20,30)(21,26)(22,42)(23,38)(25,36)(29,35)(33,50)(34,47)(39,48), 
      ( 1,16)( 2,33)( 3,19)( 4,50)( 5, 6)( 7,46)( 8,37)( 9,44)(10,32)(11,39)
        (13,23)(14,18)(15,40)(17,27)(20,47)(21,26)(22,25)(24,45)(28,48)(29,35)
        (30,34)(36,42)(38,49), ( 1,33)( 2,16)( 3,50)( 4,19)( 5, 6)( 7,44)
        ( 8,32)( 9,46)(10,37)(12,43)(13,38)(14,22)(15,21)(17,35)(18,25)(20,34)
        (23,49)(24,42)(26,40)(27,29)(30,47)(31,41)(36,45) ], 
  [ (), ( 1,47)( 2,29)( 3,35)( 4,12)( 5,17)( 6,41)( 7,37)( 8,50)( 9,36)(10,28)
        (11,42)(13,22)(15,27)(16,23)(18,44)(19,46)(20,33)(25,34)(26,31)(32,39)
        (38,48) ], 
  [ (), ( 1, 9)( 2,23)( 3,28)( 4,42)( 5,18)( 7,44)( 8,14)(10,11)(13,48)(15,25)
        (17,29)(19,36)(20,49)(21,27)(22,37)(24,33)(26,46)(30,38)(32,47)(34,45)
        (35,39)(41,43), ( 1,29)( 2,30)( 3,42)( 4,28)( 8,49)( 9,17)(12,50)
        (13,27)(14,20)(15,35)(21,48)(22,47)(23,38)(25,39)(26,46)(32,37)(34,41)
        (43,45) ], 
  [ (), ( 1, 9)( 2,49)( 4, 7)( 5,24)( 6,29)( 8,36)(10,16)(11,41)(12,23)(13,32)
        (14,44)(15,33)(17,48)(18,43)(20,50)(21,38)(22,30)(25,46)(26,42)(27,45)
        (31,40)(35,39)(37,47), ( 1,24)( 2,42)( 3,28)( 4,38)( 5, 9)( 6,10)
        ( 7,21)( 8,44)(11,27)(12,31)(13,25)(14,36)(15,30)(16,29)(17,48)(20,35)
        (22,33)(23,40)(26,49)(32,46)(39,50)(41,45) ], 
  [ (), ( 1, 3)( 2, 4)( 5, 6)( 7,22)( 8,26)( 9,31)(10,21)(12,35)(13,46)(14,16)
        (15,28)(17,25)(18,40)(19,24)(20,41)(23,34)(27,36)(30,39)(32,33)(37,49)
        (38,43)(42,48)(47,50) ], 
  [ (), ( 2,27)( 3,22)( 5,50)( 6,14)( 7,33)( 8,44)( 9,36)(10,11)(12,31)(13,35)
        (15,34)(16,39)(17,29)(18,47)(19,26)(20,23)(21,41)(24,43)(25,30)(28,40)
        (32,42)(37,49)(46,48) ], 
  [ (), ( 1, 6)( 2,27)( 3,16)( 4, 9)( 5,24)( 7,30)( 8,35)(10,36)(11,33)(12,17)
        (13,41)(14,39)(15,26)(18,40)(19,50)(20,42)(21,31)(22,28)(23,25)(29,47)
        (32,49)(34,46)(38,44)(43,48), ( 1,44)( 2,14)( 3,31)( 4,28)( 5,24)
        ( 6,38)( 7,47)( 8,20)( 9,22)(10,13)(11,49)(12,17)(15,26)(16,21)(18,40)
        (19,25)(23,50)(27,39)(29,30)(32,33)(34,46)(35,42)(36,41) ], 
  [ (), ( 1,41)( 2, 4)( 3,11)( 5,28)( 6,19)( 7,35)( 8,29)( 9,47)(10,40)(13,14)
        (15,44)(17,30)(18,31)(21,45)(22,43)(23,33)(24,48)(26,32)(27,38)(34,39)
        (36,37) ], 
  [ (), ( 2, 9)( 3,29)( 4,15)( 5,39)( 8,48)(10,37)(12,30)(13,36)(14,44)(19,49)
        (21,26)(22,25)(31,46)(38,47)(40,45)(41,42), 
      ( 2,36, 9,13)( 3,30,29,12)( 4,19,15,49)( 5,42,39,41)( 6,24)( 7,50)
        ( 8,37,48,10)(11,32)(14,25,44,22)(16,35)(17,34)(18,28)(21,38,26,47)
        (23,43)(27,33)(31,40,46,45), ( 2,45)( 3,26)( 4,14)( 5,48)( 6,27)
        ( 8,39)( 9,40)(10,41)(11,28)(12,47)(13,31)(15,44)(16,23)(18,32)(19,22)
        (21,29)(24,33)(25,49)(30,38)(35,43)(36,46)(37,42), 
      ( 1,20)( 3,44)( 4,19)( 5,46)( 7,34)(10,37)(12,22)(13,36)(14,29)(15,49)
        (16,35)(17,50)(21,38)(23,43)(25,30)(26,47)(31,39)(40,42)(41,45) ], 
  [ (), ( 1, 9)( 2,43)( 3,21)( 4,24)( 5,45)( 6,29)( 7,32)( 8,17)(10,48)(11,41)
        (12,16)(13,38)(15,27)(18,36)(19,30)(20,39)(22,46)(23,49)(25,44)(28,34)
        (33,35)(42,47), ( 1,42,43)( 2,47, 9)( 3,35,24)( 4,33,21)( 5,37,45)
        ( 6,16,34)( 7,14,32)( 8,13,46)(10,25,49)(12,29,28)(17,22,38)(18,36,26)
        (20,39,40)(23,44,48), ( 1,43,42)( 2, 9,47)( 3,24,35)( 4,21,33)
        ( 5,45,37)( 6,34,16)( 7,32,14)( 8,46,13)(10,49,25)(12,28,29)(17,38,22)
        (18,26,36)(20,40,39)(23,48,44) ], 
  [ (), ( 1,44)( 2,46)( 3,37)( 4,10)( 5,31)( 7,35)( 8, 9)(11,36)(12,30)(13,38)
        (14,50)(15,41)(16,17)(18,28)(19,42)(21,48)(22,27)(23,45)(25,26)(29,47)
        (32,34)(33,39)(40,43) ], 
  [ (), ( 2,32)( 3,46)( 6,19)( 7,49)( 8,33)( 9,41)(10,17)(11,39)(12,30)(14,20)
        (15,40)(16,50)(18,42)(23,44)(24,29)(26,48)(31,35)(34,36)(43,47), 
      ( 1,25)( 2,26)( 3,24)( 5,45)( 7,40)( 8,44)( 9,39)(10,42)(11,41)(12,31)
        (13,37)(14,34)(15,49)(16,43)(17,18)(20,36)(22,38)(23,33)(27,28)(29,46)
        (30,35)(32,48)(47,50) ], 
  [ (), ( 2, 6)( 3, 5)( 7,43)(10,37)(11,23)(12,40)(13,28)(14,32)(15,29)(16,19)
        (17,46)(18,34)(21,24)(25,39)(26,45)(27,50)(30,44)(31,36)(33,35)(38,49)
        (41,48)(42,47) ], 
  [ (), ( 2, 8)( 3,50)( 4,44)( 5,21)( 7,48)( 9,14)(10,31)(12,15)(13,37)(16,36)
        (17,39)(18,30)(19,28)(20,47)(22,24)(23,34)(25,46)(26,32)(27,41)(33,43)
        (42,45), ( 1,29)( 2,12)( 3, 7)( 4,43)( 5,21)( 6,35)( 8,15)( 9,23)
        (10,24)(13,45)(14,34)(16,46)(17,39)(18,30)(20,27)(22,31)(25,36)(26,32)
        (33,44)(37,42)(40,49)(41,47)(48,50) ], 
  [ (), ( 1,18)( 3,46)( 4,17)( 5,25)( 7,40)( 9,45)(10,34)(11,50)(12,19)(13,14)
        (15,43)(16,20)(21,23)(22,27)(24,38)(26,28)(29,36)(30,48)(31,39)(33,47)
        (35,41)(37,44), ( 1,25)( 2,42)( 3,39)( 4, 9)( 5,18)( 6,32)( 7,40)
        (10,11)(12,20)(13,22)(14,27)(15,30)(16,19)(17,45)(21,47)(23,33)(24,38)
        (29,44)(31,46)(34,50)(36,37)(43,48), 
      ( 1,50)( 2,32)( 3,33)( 4,14)( 5,34)( 6,42)( 7,35)( 8,49)( 9,22)(10,25)
        (11,18)(12,29)(13,17)(15,43)(16,44)(19,36)(20,37)(21,39)(23,31)(24,28)
        (26,38)(27,45)(40,41)(46,47) ], 
  [ (), ( 1, 4,33,23)( 2,38,46, 5)( 3,30,34,39)( 6,50,44,31)( 7,36,37,16)
        ( 8,29)( 9,24,21,49)(10,47,42,15)(11,40,27,13)(12,41,28,45)
        (14,26,19,20)(17,32,48,43)(18,35)(22,25), 
      ( 1,24)( 2,15)( 3,44)( 4, 9)( 5,10)( 6,34)( 8,29)(11,12)(13,41)(14,26)
        (16,36)(17,43)(18,25)(19,20)(21,23)(22,35)(27,28)(30,50)(31,39)(32,48)
        (33,49)(38,42)(40,45)(46,47), ( 1,33)( 2,46)( 3,34)( 4,23)( 5,38)
        ( 6,44)( 7,37)( 9,21)(10,42)(11,27)(12,28)(13,40)(14,19)(15,47)(16,36)
        (17,48)(20,26)(24,49)(30,39)(31,50)(32,43)(41,45) ], 
  [ ( 1,12)( 2,36)( 3,13)( 4,25)( 5,24)( 7,17)( 8,20)( 9,37)(10,40)(11,28)
        (15,43)(16,21)(18,19)(23,31)(27,41)(29,34)(30,48)(32,46)(33,42)(39,44)
        (45,49)(47,50) ], 
  [ (), ( 1,26)( 2, 8)( 3, 7)( 4,11)( 5,15)( 6,49)( 9,42)(10,18)(12,37)(13,44)
        (14,38)(17,30)(19,29)(20,25)(21,32)(22,43)(24,33)(27,41)(28,47)(34,45)
        (39,50) ], 
  [ (), ( 1,16)( 2,21)( 3,18)( 4,42)( 5,46)( 6,41)( 7, 9)( 8,43)(10,13)(11,12)
        (15,40)(17,20)(19,39)(22,32)(23,28)(24,29)(25,48)(26,27)(30,34)(31,44)
        (33,49)(35,37)(36,50), ( 1,43)( 2,19)( 3,17)( 4,28)( 5,37)( 6,41)
        ( 7,13)( 8,16)( 9,10)(11,44)(12,31)(15,27)(18,20)(21,39)(22,24)(23,42)
        (25,48)(26,40)(29,32)(30,33)(34,49)(35,46)(45,47) ], 
  [ ( 1,41)( 2, 9)( 3,30)( 4,48)( 6,16)( 7,23)( 8,46)(10,26)(11,34)(13,25)
        (14,29)(15,31)(17,18)(19,35)(20,36)(24,50)(27,49)(32,47)(37,43)(38,39)
        (40,42)(44,45) ], 
  [ (), ( 3,50,29)( 4,36,28)( 5,45,37)( 6,33, 9)( 7,49,16)( 8,44,42)(10,22,19)
        (11,23,35)(12,39,43)(13,27,40)(14,24,20)(15,34,18)(17,25,32)(26,30,46)
        , ( 2,21)( 4,43)( 5,30)( 6,15)( 7,16)( 9,34)(10,19)(11,13)(12,28)
        (17,32)(18,33)(20,24)(23,40)(26,45)(27,35)(29,50)(36,39)(37,46)(38,48)
        (42,44), ( 1,49,21, 7)( 2,16)( 3, 5,39,17)( 4,45,28,32)( 6,13,24,27)
        ( 8,38,42,41)( 9,23,20,22)(10,14,35,33)(11,15,19,34)(12,26,50,30)
        (18,40)(25,43,37,29)(31,47)(36,46)(44,48) ], 
  [ (), ( 1, 8)( 2,50)( 3,37)( 4,13)( 5,27)( 6,39)( 7,24)( 9,25)(11,22)(12,42)
        (14,45)(15,31)(16,23)(17,41)(20,47)(21,34)(30,32)(33,49)(35,46)(38,48)
        (40,43), ( 1,42)( 3,45)( 4,47)( 5,23)( 6,24)( 7,39)( 8,12)( 9,43)
        (11,33)(13,20)(14,37)(15,35)(16,27)(17,21)(19,26)(22,49)(25,40)(28,36)
        (29,44)(30,48)(31,46)(32,38)(34,41) ], 
  [ (), ( 1, 7)( 3,33)( 4,42)( 5,32)( 8, 9)(11,19)(12,46)(13,50)(14,36)(15,35)
        (16,45)(18,44)(20,29)(21,28)(22,48)(24,31)(26,30)(27,43)(34,41)(37,40)
        , ( 1,21)( 2,39)( 3,31)( 4,40)( 5,19)( 6,47)( 7,28)( 8, 9)(10,49)
        (11,32)(12,13)(14,34)(15,35)(16,29)(17,38)(18,22)(20,45)(24,33)(26,27)
        (30,43)(36,41)(37,42)(44,48)(46,50) ], 
  [ (), ( 1, 7)( 2,28)( 3,13)( 4,26)( 5,16)( 6,20)( 8,23)( 9,27)(10,31)(11,25)
        (12,48)(14,33)(15,30)(17,32)(18,38)(19,22)(21,43)(29,45)(34,37)(35,50)
        (36,47)(39,49)(42,46) ], 
  [ (), ( 7,44)( 8,10)( 9,19)(11,18)(14,42)(15,31)(16,37)(17,50)(21,41)(22,24)
        (25,34)(27,47)(28,33)(29,48)(30,32)(35,43)(38,40)(39,45), 
      ( 1,27)( 2,47)( 3,17)( 4,50)( 5,26)( 6,36)( 7,12)( 8,35)( 9,42)(10,43)
        (13,37)(14,33)(15,25)(16,49)(18,45)(19,40)(20,44)(22,32)(23,29)(24,34)
        (28,38)(30,31)(46,48) ], 
  [ (), ( 1,46)( 2, 4)( 3,16)( 5,12)( 6,34)( 7,50)( 9,49)(10,22)(11,43)(13,26)
        (14,36)(15,40)(17,37)(18,23)(19,44)(20,39)(21,31)(24,28)(25,38)(27,33)
        (29,48)(30,41)(32,42)(45,47) ], 
  [ (), ( 1, 4)( 2, 5)( 3, 6)( 7, 8)( 9,32)(10,42)(12,25)(13,17)(14,35)(15,40)
        (16,21)(18,41)(23,29)(26,43)(27,45)(28,50)(30,34)(31,33)(36,46)(38,48)
        (39,49)(44,47) ], [ () ], 
  [ (), ( 2, 4)( 3,20)( 6,42)( 7,36)( 9,19)(10,41)(11,33)(12,21)(13,14)(15,25)
        (16,23)(18,34)(22,31)(24,43)(26,30)(27,37)(28,45)(29,35)(32,50)(40,44)
        (46,47)(48,49), ( 1, 2)( 3,36)( 6,20)( 7,42)( 9,47)(10,30)(11,31)
        (12,38)(13,37)(14,28)(15,23)(16,29)(17,44)(18,39)(19,24)(22,48)(25,35)
        (26,32)(27,45)(33,49)(41,50)(43,46) ], 
  [ (), ( 1,14)( 2,40)( 3,33)( 4, 7)( 5,13)( 6,45)( 8,38)(10,15)(11,37)(17,34)
        (18,19)(20,32)(22,43)(23,42)(24,35)(25,39)(26,44)(27,36)(29,30)(31,46)
        (41,48)(49,50) ], 
  [ (), ( 1, 6)( 4, 5)( 7, 9)( 8,15)(10,33)(11,35)(12,38)(13,29)(14,43)(16,17)
        (18,32)(19,41)(20,49)(21,39)(22,47)(23,37)(24,34)(26,31)(27,30)(28,50)
        (36,46)(40,45)(44,48) ], 
  [ (), ( 2,43)( 3,34)( 4,25)( 5,16)( 6,42)( 7,27)( 8,18)( 9,26)(10,41)(11,40)
        (12,45)(13,24)(14,35)(15,23)(17,39)(19,50)(21,48)(22,29)(28,37)(30,47)
        (31,44)(32,33)(36,38)(46,49) ], 
  [ (), ( 1,32)( 2,39)( 3,10)( 4,37)( 5,17)( 7,44)( 8,46)( 9,23)(11,20)(12,45)
        (13,24)(14,16)(15,41)(18,47)(19,38)(21,43)(22,33)(25,40)(26,30)(28,42)
        (29,36)(34,35), ( 1,46)( 2,41)( 3,45)( 4,44)( 5,30)( 6,31)( 7,37)
        ( 8,32)( 9,16)(10,12)(11,33)(13,42)(14,23)(15,39)(17,26)(18,47)(19,29)
        (20,22)(21,40)(24,28)(25,43)(36,38)(48,49) ], 
  [ ( 1,12)( 2,32)( 3,39)( 4,17)( 5,43)( 6,31)( 7,34)( 8,10)(11,15)(13,16)
        (18,49)(19,21)(20,44)(22,28)(23,25)(24,30)(26,42)(27,35)(29,45)(33,38)
        (36,47)(37,48)(40,41)(46,50), ( 1,15)( 4,42)( 5,22)( 6,48)( 7,40)
        ( 8,14)( 9,10)(11,37)(12,31)(13,38)(17,43)(18,30)(19,35)(20,46)(21,41)
        (24,45)(26,28)(27,34)(29,47)(36,49), 
      ( 1,28,48,17)( 2,39)( 3,32)( 4,37,22,12)( 5,11,42,31)( 6,26,15,43)
        ( 7,34,19,21)( 8, 9,10,14)(13,50,38,44)(16,20,33,46)(18,24,29,36)
        (27,40,41,35)(30,49,47,45), ( 1,37)( 2,32)( 3,39)( 4,28)( 5,26)( 6,11)
        ( 7,21)( 9,14)(12,48)(13,33)(15,31)(16,38)(17,22)(18,45)(19,34)(20,50)
        (23,25)(24,47)(27,40)(29,49)(30,36)(35,41)(42,43)(44,46) ], 
  [ ( 6,22,29,16)( 7,27,41,36)( 8,46,40,28)(15,48,23,47)(18,33,44,21)
        (19,30,25,49)(26,37,32,50)(34,39,35,38), 
      ( 6,33,22,44,29,21,16,18)( 7, 8,27,46,41,40,36,28)(15,35,48,38,23,34,47,
         39)(19,50,30,26,25,37,49,32), ( 3,42)( 4,24)( 5,12)( 6,38)( 7,37)
        ( 8,25)(13,45)(15,44)(16,34)(18,23)(19,40)(21,47)(22,35)(26,27)(28,49)
        (29,39)(30,46)(31,43)(32,36)(33,48)(41,50), 
      ( 1, 3)( 2,31)( 4, 9)( 5,12)( 6,28,21,41,22, 8,18,36,29,46,33, 7,16,40,
         44,27)(10,45)(11,42)(13,20)(14,43)(15,25,34,50,48,49,39,26,23,19,35,
         37,47,30,38,32)(17,24), ( 1,10)( 2, 9)( 4,13)( 6,33)( 7,27)(11,20)
        (14,17)(15,39)(16,44)(18,22)(19,30)(21,29)(23,38)(24,45)(25,49)(26,32)
        (28,46)(31,43)(34,48)(35,47)(36,41) ], 
  [ ( 6,45)( 7,48)( 8,13)( 9,50)(10,36)(11,28)(12,22)(14,39)(15,42)(16,34)
        (18,40)(19,21)(25,30)(27,29)(31,44)(32,47)(33,41)(37,46), 
      ( 1,35)( 3,24)( 5,49)( 6,33)( 7,12)( 8, 9)(10,31)(11,40)(13,50)(15,29)
        (16,37)(17,26)(18,28)(22,48)(25,30)(27,42)(32,47)(34,46)(36,44)
        (41,45) ], [ () ], 
  [ (), ( 1, 4,33)( 2,25,22)( 3,28,20)( 5,16,27)( 6,42,13)( 7,30,24)( 9,26,11)
        (10,48,19)(12,29,23)(14,36,37)(15,35,40)(17,49,39)(21,38,50)(31,32,43)
        (34,44,45)(41,47,46), ( 1,28,25)( 2,33, 3)( 4,20,22)( 5,31,21)
        ( 6,47,12)( 7,30,24)( 9,11,26)(10,37,49)(13,41,23)(14,39,48)(15,40,35)
        (16,32,38)(17,19,36)(27,43,50)(29,42,46)(34,44,45), 
      ( 1,48)( 2,36)( 3,17)( 4,10)( 5,16)( 6,42)( 7,30)(11,26)(12,46)(14,25)
        (15,40)(19,33)(20,49)(21,32)(22,37)(23,41)(28,39)(29,47)(31,38)(34,44)
        (43,50) ], 
  [ (), ( 1, 7)( 2,30)( 3,20)( 4, 8)( 5,31)( 6,43)( 9,45)(10,32)(11,47)(12,13)
        (14,34)(15,39)(16,41)(19,50)(21,44)(22,36)(23,27)(24,33)(25,49)(28,40)
        (37,48)(42,46) ], 
  [ (), ( 1, 7)( 2, 6)( 4,27)( 8,21)( 9,22)(10,23)(11,38)(12,16)(13,45)(14,32)
        (15,36)(17,19)(18,42)(20,43)(24,37)(25,31)(26,50)(28,40)(29,48)(30,34)
        (33,46)(35,49)(39,47)(41,44), ( 1,33)( 2,15)( 3,23)( 4,24)( 5,30)
        ( 6,29)( 7,11)( 8,41)( 9,36)(10,18)(12,32)(13,25)(14,44)(16,46)(17,22)
        (19,37)(20,50)(21,39)(26,34)(27,45)(28,48)(35,47)(38,43)(40,42), 
      ( 1,34)( 2,10)( 3,36)( 4,37)( 5,46)( 6,13)( 7,47)( 8,44)( 9,25)(11,50)
        (12,30)(14,26)(15,31)(16,35)(17,45)(18,19)(20,41)(21,38)(22,23)(24,40)
        (27,48)(29,42)(32,39)(33,49), ( 1,40,43,13)( 2,20,28,47)( 3,12,19,34)
        ( 4,50, 9,46)( 5,22,14,10)( 6,32,25,44)( 7,17,35,37)( 8,42,16,36)
        (11,29)(15,30,45,41)(18,38,27,49)(21,31,26,48)(23,39,24,33), 
      ( 1,46,12,14,41,21,47,49,35,39, 8,44,32,16,33, 7,38,20,26,30, 5,34,50,
         43,11)( 2,36,22,19,24,27,13,31,25,45, 4,37,17, 9,15, 6,48,40,18,23,
          3,10,42,28,29) ], 
  [ (), ( 2, 5)( 3, 4)( 6,49)( 7,24)( 8,31)( 9,11)(10,14)(12,36)(13,32)(15,38)
        (16,35)(17,50)(18,48)(19,33)(20,28)(23,30)(25,43)(26,41)(27,42)(29,39)
        (37,47)(40,45), ( 1,49, 6)( 2,35, 8)( 3,18,43)( 4,25,48)( 5,31,16)
        ( 7,45,11)( 9,40,24)(10,22,14)(12,46,36)(13,38,42)(15,32,27)(17,50,44)
        (19,39,20)(23,47,41)(26,37,30)(28,29,33) ], 
  [ ( 6,29)( 7,41)( 8,40)( 9,27)(10,45)(11,22)(12,50)(14,42)(15,35)(16,39)
        (17,48)(18,44)(19,34)(20,38)(21,30)(25,36)(28,46)(31,32)(33,37), 
      ( 1,13)( 2,47)( 3,23)( 4,49)( 5,24)( 6,21)( 8,28)( 9,34)(10,12)(11,33)
        (14,36)(15,39)(16,35)(17,18)(19,27)(20,38)(22,37)(25,42)(29,30)(40,46)
        (44,48)(45,50) ], 
  [ (), ( 1, 5)( 3, 4)( 6,22)( 7,38)( 8,35)( 9,44)(10,43)(11,36)(12,29)(13,19)
        (14,24)(15,45)(16,42)(17,48)(18,30)(20,50)(21,34)(23,31)(25,39)(26,47)
        (27,46)(28,41)(32,37)(33,40) ], 
  [ (), ( 1,28)( 2,21)( 3,46)( 4,20)( 5,39)( 6, 8)( 7,30)( 9,42)(10,26)(11,16)
        (12,37)(13,27)(15,34)(17,40)(18,43)(23,24)(25,44)(29,33)(31,38)(32,49)
        (36,45)(41,48) ], 
  [ (), ( 1,26)( 2,39)( 3,29)( 4, 8)( 6,10)( 7,45)( 9,36)(11,30)(12,44)(13,40)
        (14,48)(15,42)(16,49)(17,35)(19,37)(20,24)(21,32)(22,41)(23,28)(25,27)
        (31,50)(33,46)(34,43)(38,47), ( 1,30)( 3,27)( 4, 8)( 5,18)( 6,23)
        ( 7,41)( 9,46)(10,28)(11,26)(12,31)(13,34)(14,49)(15,32)(16,48)(17,24)
        (19,37)(20,35)(21,42)(22,45)(25,29)(33,36)(38,47)(40,43)(44,50) ], 
  [ (), ( 1, 6)( 4, 5)( 7,34)( 8,13)( 9,10)(11,45)(14,25)(15,37)(16,50)(18,20)
        (19,32)(21,31)(22,29)(23,41)(24,43)(27,44)(28,40)(30,49)(33,47)(35,42)
        (38,46)(39,48) ], [ () ], [ () ], 
  [ (), ( 1,20,23,34)( 2,50, 9,40)( 3,49, 4, 8)( 5,12,24,48)( 6,15,36,26)
        ( 7,27,42,25)(10,30,43,16)(11,46)(13,47,45,33)(14,35,41,39)
        (17,21,22,29)(18,44,19,37)(28,31,38,32), 
      ( 1,23)( 2, 9)( 3, 4)( 5,24)( 6,36)( 7,42)( 8,49)(10,43)(12,48)(13,45)
        (14,41)(15,26)(16,30)(17,22)(18,19)(20,34)(21,29)(25,27)(28,38)(31,32)
        (33,47)(35,39)(37,44)(40,50), ( 1,40)( 2,34)( 3,49)( 4, 8)( 5,48)
        ( 6,36)( 7,18)( 9,20)(10,21)(11,46)(12,24)(13,32)(14,35)(16,22)(17,30)
        (19,42)(23,50)(25,44)(27,37)(28,33)(29,43)(31,45)(38,47)(39,41) ], 
  [ (), ( 2,11)( 3,39)( 4,10)( 6,12)( 7,15)( 8,17)( 9,29)(13,44)(14,49)(16,40)
        (19,20)(21,22)(23,35)(24,28)(25,47)(26,34)(27,46)(30,33)(31,43)(37,41)
        (48,50) ], 
  [ (), ( 2, 6)( 3, 5)( 9,31)(10,50)(11,24)(12,47)(13,39)(14,49)(15,25)(17,19)
        (18,26)(20,32)(21,43)(22,48)(27,36)(29,40)(30,33)(34,42)(37,46)(38,44)
        , ( 1, 8)( 2,27)( 3,33)( 4, 7)( 5,30)( 6,36)( 9,14)(10,15)(11,26)
        (12,21)(13,17)(16,35)(18,24)(19,39)(22,37)(25,50)(28,45)(31,49)(34,44)
        (38,42)(43,47)(46,48) ], 
  [ (), ( 1, 3)( 2, 4)( 5, 6)( 7,38)( 8,21)(10,25)(11,23)(12,42)(13,20)(15,40)
        (16,34)(17,19)(18,49)(22,33)(24,32)(26,28)(27,37)(29,43)(30,45)(31,36)
        (35,47)(39,48)(41,50)(44,46), ( 1,12,18,24)( 2,11)( 3,32,49,42)( 4,23)
        ( 5,31,16,28)( 6,26,34,36)( 7,14,38, 9)( 8,30,19,35)(10,29,22,44)
        (13,20)(15,39,27,41)(17,45,21,47)(25,46,33,43)(37,48,40,50) ], 
  [ (), ( 1,13)( 3,26)( 4,22)( 5,28)( 6,44)( 7,37)( 8,21)( 9,32)(10,20)(12,27)
        (14,48)(15,31)(16,49)(17,50)(18,35)(19,29)(23,33)(30,38)(36,39)(40,45)
        (41,42) ], [ () ], 
  [ (), ( 2, 6)( 3, 5)( 9,11)(10,27)(12,38)(15,20)(16,26)(17,46)(18,48)(19,47)
        (21,32)(22,49)(23,42)(24,40)(25,33)(28,43)(29,41)(30,35)(31,50)(39,45)
        , ( 1, 4)( 2,23)( 3,33)( 5,25)( 6,42)( 7, 8)( 9,11)(12,26)(13,36)
        (14,44)(15,40)(16,38)(17,41)(18,31)(19,30)(20,24)(21,39)(22,28)(29,46)
        (32,45)(35,47)(43,49)(48,50) ], [ () ], [ () ], 
  [ (), ( 1,37)( 2,29)( 3, 8)( 4,35)( 5,22)( 6,39)( 7,18)( 9,12)(10,28)(11,16)
        (14,25)(15,32)(17,19)(20,50)(21,30)(24,45)(26,34)(27,31)(33,38)(36,42)
        (40,41)(43,44)(47,48) ], [ () ], 
  [ ( 6,16,19,26,32,42,47,27)( 7,48,29,11,38, 8,10,49)(21,46,41,31,50,36,43,25
         ), ( 6,19,32,47)( 7,29,38,10)( 8,49,48,11)(16,26,42,27)(21,41,50,43)
        (25,46,31,36), ( 6,32)( 7,38)( 8,48)(10,29)(11,49)(16,42)(19,47)
        (21,50)(25,31)(26,27)(36,46)(41,43), 
      ( 2,37)( 3,23)( 4,20)( 5,40)( 6,21)( 7,49)( 8,29)( 9,45)(10,48)(11,38)
        (12,15)(13,28)(16,25)(19,43)(22,24)(26,36)(27,46)(30,44)(31,42)(32,50)
        (35,39)(41,47), ( 1,14)( 2, 5)( 3,23)( 4,12)( 6,43)( 9,22)(13,30)
        (15,20)(16,25)(17,33)(18,34)(19,21)(24,45)(26,46)(27,36)(28,44)(31,42)
        (32,41)(35,39)(37,40)(47,50) ], 
  [ (), ( 2,47)( 3,13)( 4,46)( 5,17)( 6,25)( 7, 8)( 9,15)(10,19)(11,43)(12,42)
        (14,26)(16,32)(20,21)(22,30)(23,39)(24,36)(28,33)(29,38)(31,44)(34,37)
        (35,41)(48,50) ], 
  [ (), ( 2, 9)( 3,40)( 4,22)( 5,46)( 7,20)( 8,29)(10,21)(11,17)(12,32)(14,47)
        (15,16)(19,36)(23,37)(24,42)(25,48)(26,50)(27,34)(28,41)(38,49)
        (39,43) ], 
  [ (), ( 1, 2)( 3, 4)( 8,10)(11,19)(12,37)(13,40)(14,46)(15,36)(16,38)(17,27)
        (18,28)(20,45)(21,35)(22,49)(24,31)(25,50)(26,43)(29,34)(30,32)(33,48)
        (39,44)(41,47) ], [ () ], 
  [ (), ( 1, 9)( 2,47)( 3,48)( 4,17)( 6,32)( 7,30)( 8,40)(10,12)(11,14)(13,15)
        (16,19)(18,41)(20,35)(21,38)(22,34)(24,42)(25,49)(26,46)(28,43)(29,50)
        (31,33)(36,44)(39,45) ], 
  [ (), ( 1, 8)( 2, 6)( 3, 7)( 4, 5)( 9,15)(10,39)(11,49)(12,34)(13,30)(14,25)
        (16,32)(17,31)(18,33)(20,37)(21,43)(22,38)(23,45)(24,29)(26,46)(27,44)
        (28,40)(35,48)(36,50)(42,47) ], 
  [ (), ( 2,27)( 3,40)( 5,20)( 6,34)( 7,26)( 8,10)( 9,13)(11,31)(12,30)(14,24)
        (15,22)(17,28)(19,46)(21,32)(23,43)(25,36)(29,50)(33,44)(35,49)(37,48)
        (38,47)(42,45), ( 2,34)( 3,20)( 5,40)( 6,27)( 7,29)( 8,10)( 9,13)
        (11,37)(12,47)(14,42)(15,35)(16,39)(17,32)(19,46)(21,28)(22,49)(23,25)
        (24,45)(26,50)(30,38)(31,48)(36,43), 
      ( 1, 4)( 2, 3)( 5, 6)(11,24)(12,36)(14,37)(15,32)(16,33)(17,22)(18,41)
        (20,27)(21,35)(23,38)(25,47)(26,29)(28,49)(30,43)(31,45)(34,40)(39,44)
        (42,48) ], [ () ], 
  [ (), ( 1,31)( 2,20)( 3,14)( 5,41)( 6,45)( 7,37)( 8,17)( 9,25)(12,36)(13,49)
        (15,28)(16,24)(18,44)(19,27)(22,50)(23,35)(26,43)(29,30)(32,40)(33,47)
        (34,39)(42,48) ], 
  [ (), ( 1,36)( 2,41)( 3,47)( 4,26)( 5,34)( 6,49)( 8,43)( 9,27)(10,48)(11,12)
        (13,35)(14,19)(15,29)(16,23)(17,39)(20,45)(21,33)(22,50)(24,31)(25,46)
        (28,42)(30,44)(38,40) ], 
  [ (), ( 1,12,20,45)( 2,49,26,31)( 3,25,41,34)( 4,44,36, 9)( 5,23,40,13)
        ( 6,11,42,15)( 7,35,47,29)( 8,46,22,18)(10,37,17,28)(14,21,16,32)
        (19,30)(24,27,33,38)(39,48)(43,50) ], [ () ], 
  [ (), ( 1,31)( 2,15)( 4,29)( 5,42)( 8,21)( 9,10)(11,23)(12,37)(13,41)(14,16)
        (19,20)(22,26)(24,38)(27,46)(30,32)(33,34)(35,36)(40,49)(44,47), 
      ( 1,33)( 2,29)( 3,43)( 4,15)( 5,13)( 6,17)( 7,28)( 8,12)( 9,27)(10,46)
        (11,14)(16,23)(18,45)(19,49)(20,40)(21,37)(24,44)(25,48)(30,36)(31,34)
        (32,35)(38,47)(39,50)(41,42) ], 
  [ (), ( 1,50)( 2,10)( 3,49)( 4,30)( 6,45)( 7,31)( 8,37)( 9,25)(11,39)(12,33)
        (14,40)(15,28)(16,24)(17,27)(18,34)(19,35)(20,46)(23,38)(26,36)(29,32)
        (44,48) ], 
  [ (), ( 2, 5)( 3, 4)( 6,27)( 7,44)( 8,24)(10,46)(11,23)(12,47)(13,38)(14,17)
        (15,45)(16,31)(18,42)(20,41)(21,34)(22,33)(25,32)(26,30)(28,37)(29,48)
        (40,43)(49,50) ], [ () ], 
  [ (), ( 1, 4)( 2, 3)( 5, 6)( 7, 8)( 9,10)(11,31)(12,35)(13,29)(14,49)(17,48)
        (18,37)(19,32)(20,26)(21,23)(22,33)(24,42)(25,34)(30,50)(36,45)(38,47)
        (41,43), ( 1,24)( 2,30)( 3,50)( 4,42)( 5,45)( 6,36)(11,31)(12,35)
        (13,34)(14,17)(15,46)(16,44)(18,38)(19,22)(20,21)(23,26)(25,29)(27,28)
        (32,33)(37,47)(39,40)(48,49), ( 1,42)( 2,45)( 3,36)( 4,24)( 5,30)
        ( 6,50)( 7, 8)( 9,43)(10,41)(11,12)(13,34)(14,21)(15,44)(16,46)(17,20)
        (18,38)(19,32)(22,33)(23,49)(25,29)(26,48)(27,28)(31,35)(37,47) ], 
  [ () ], 
  [ (), ( 9,31)(10,34)(11,47)(12,48)(13,49)(14,50)(15,44)(16,45)(17,46)(18,43)
        (19,37)(20,38)(21,39)(22,40)(23,41)(24,42)(25,32)(26,33)(27,35)(28,36)
        (29,30), ( 2, 6)( 3, 5)( 9,39)(10,26)(11,23)(12,18)(13,49)(14,28)
        (16,37)(17,30)(19,45)(20,35)(21,31)(22,32)(25,40)(27,38)(29,46)(33,34)
        (36,50)(41,47)(43,48), ( 1, 4)( 2,44, 6,15)( 3,42, 5,24)( 7, 8)
        ( 9,39,21,31)(10,34,33,26)(11,12,41,43)(13,49)(14,19,36,16)
        (17,40,29,32)(18,23,48,47)(20,38,27,35)(22,46,25,30)(28,37,50,45) ], 
  [ () ], 
  [ (), ( 1, 4)( 2, 3)( 5, 6)( 7,10)( 8,18)( 9,15)(13,38)(14,30)(16,17)(19,31)
        (20,39)(21,46)(22,37)(23,48)(24,26)(25,40)(27,33)(28,43)(29,44)(32,47)
        (34,42)(35,41)(36,45), ( 1, 6)( 4, 5)( 7,18)( 8,10)( 9,34)(13,21)
        (15,42)(16,25)(17,40)(19,28)(20,26)(22,41)(24,39)(27,36)(29,44)(31,43)
        (32,47)(33,45)(35,37)(38,46) ], 
  [ (), ( 2,32)( 3,19)( 5,42)( 6,29)( 7,37)( 8,31)( 9,48)(10,44)(12,40)(13,47)
        (14,39)(16,28)(17,23)(20,43)(21,45)(22,30)(24,41)(25,33)(26,34)(27,36)
        (38,46), ( 1, 4)( 2, 5)( 3, 6)( 7,17)( 8,10)( 9,28)(14,46)(15,35)
        (16,48)(19,29)(20,36)(21,45)(22,30)(23,37)(24,34)(25,33)(26,41)(27,43)
        (31,44)(32,42)(38,39), ( 1,47, 4,13)( 2, 5,42,32)( 3, 6,29,19)
        ( 7, 8,23,44)( 9,38,16,14)(10,17,31,37)(12,15,40,35)(20,34,27,41)
        (24,36,26,43)(28,46,48,39) ], 
  [ (), ( 2,24)( 3,15)( 5,44)( 6,42)( 7,32)( 8,26)( 9,13)(10,31)(11,47)(12,45)
        (14,48)(16,49)(17,20)(18,39)(19,38)(21,37)(22,28)(23,41)(25,30)(27,33)
        (29,34)(35,46)(36,43)(40,50), ( 2,42)( 3,44)( 5,15)( 6,24)( 7,46)
        ( 8,13)( 9,26)(10,31)(11,37)(12,45)(16,49)(17,40)(19,38)(20,50)(21,47)
        (22,43)(23,29)(25,30)(27,33)(28,36)(32,35)(34,41), 
      ( 1, 4)( 2, 3)( 5, 6)( 7, 9)( 8,35)(10,27)(11,29)(12,45)(13,32)(15,24)
        (16,38)(19,49)(21,41)(22,28)(23,37)(25,30)(26,46)(31,33)(34,47)(36,43)
        (42,44) ], 
  [ (), ( 3,45)( 4,10)( 5,13)( 6,12)( 7,18)( 8,37)( 9,40)(11,19)(14,23)(15,47)
        (16,39)(20,25)(24,50)(26,42)(27,28)(29,46)(38,44)(43,49), 
      ( 1,36)( 2,41)( 3,27)( 4,12)( 5,26)( 6,10)( 7,24)( 8,25)( 9,38)(11,14)
        (13,42)(15,16)(17,48)(18,50)(19,23)(20,37)(28,45)(29,46)(30,33)(32,35)
        (39,47)(40,44) ], [ () ], [ () ], 
  [ (), ( 1,36)( 2,14)( 3,35)( 4,29)( 5,50)( 6,44)( 7,15)( 8,33)( 9,30)(10,21)
        (11,19)(13,37)(17,32)(18,48)(22,31)(23,46)(25,40)(26,45)(27,47)(28,49)
        (38,39)(41,42), ( 1,44, 4)( 2,37,39)( 3, 8,48)( 5,11,21)( 6,36,29)
        ( 7,15,20)( 9,16,30)(10,19,50)(13,14,38)(17,42,28)(18,33,35)(22,27,23)
        (24,25,40)(26,45,34)(31,46,47)(32,49,41) ], 
  [ (), ( 1,27)( 2,45)( 3,17)( 4,14)( 5,12)( 6,23)( 7,44)( 8,26)( 9,34)(10,38)
        (11,29)(13,41)(15,33)(16,31)(18,48)(19,32)(21,39)(22,42)(24,46)(25,50)
        (28,35)(30,36)(37,47)(40,49) ], 
  [ (), ( 1,49)( 2,47)( 3,23)( 4,16)( 5, 7)( 6,24)( 8,41)( 9,13)(10,19)(11,36)
        (15,50)(17,42)(20,33)(21,39)(28,40)(29,48)(32,38)(34,35)(37,45)
        (43,44) ], 
  [ (), ( 2, 4)( 3,32)( 5,11)( 6,29)( 7,15)( 8,13)( 9,28)(10,48)(12,41)(14,20)
        (16,38)(18,45)(19,30)(25,47)(26,49)(27,39)(31,43)(34,44)(36,37)(40,42)
        , ( 1,13, 8)( 3,29,19)( 5,15,39)( 6,32,30)( 7,11,27)( 9,36,20)
        (10,26,41)(12,49,48)(14,37,28)(16,46,38)(17,47,25)(18,35,45)(24,44,34)
        (31,43,50), ( 1,18)( 2,40)( 3,49)( 4,42)( 5,37)( 6,10)( 7, 9)( 8,35)
        (11,20)(12,29)(13,45)(14,15)(16,46)(17,25)(19,48)(21,23)(22,33)(24,43)
        (26,30)(27,36)(28,39)(31,44)(32,41)(34,50), 
      ( 1,24)( 2,40)( 3,30)( 4,42)( 5,14)( 6,29)( 7,36)( 8,34)( 9,27)(10,12)
        (11,20)(13,44)(15,37)(16,25)(17,46)(18,43)(19,32)(21,23)(26,49)(28,39)
        (31,45)(35,50)(38,47)(41,48), ( 1,31)( 3,10)( 6,48)( 7,11)( 8,43)
        (12,30)(13,50)(15,39)(16,25)(17,38)(18,34)(19,26)(20,36)(22,33)(24,45)
        (28,37)(29,41)(32,49)(35,44)(46,47), 
      ( 1,44, 8,24,13,34)( 2,40)( 3, 6,19,30,29,32)( 4,42)( 5,37,39,14,15,28)
        ( 7,20,27,36,11, 9)(10,49,41,12,26,48)(16,17,38,25,46,47)
        (18,50,45,43,35,31)(21,23), ( 1,50)( 3,41)( 5,39)( 6,49)( 8,31)( 9,20)
        (10,19)(11,27)(12,32)(13,43)(14,28)(16,47)(17,46)(18,44)(22,33)(24,35)
        (25,38)(26,29)(30,48)(34,45) ], 
  [ (), ( 2,25)( 4,27)( 5,23)( 6,15)( 7,19)( 8,49)(11,35)(12,18)(13,26)(14,43)
        (16,34)(17,29)(20,30)(21,32)(22,24)(31,45)(33,47)(37,44)(41,50)(42,48)
        , ( 1,21)( 2,37)( 3,50)( 4,11)( 5,18)( 6,40)( 7,44)(10,22)(12,23)
        (13,45)(14,28)(15,43)(16,24)(17,47)(19,26)(25,48)(27,49)(30,33)(31,42)
        (32,41)(34,36)(38,39), ( 1,40)( 2,31)( 3,28)( 4,47)( 5,12)( 6,32)
        ( 8,17)( 9,46)(10,36)(11,20)(13,44)(14,41)(15,21)(16,22)(18,23)(24,34)
        (25,45)(26,37)(27,33)(29,49)(30,35)(38,39)(43,50), 
      ( 1,41)( 2, 7)( 3,32)( 4,35)( 5,23)( 8,27)(10,16)(11,49)(12,18)(13,42)
        (15,28)(17,30)(19,45)(20,33)(24,36)(25,31)(26,44)(29,47)(37,48)
        (40,43) ], 
  [ ( 7,46)( 8, 9)(10,45)(11,32)(12,24)(13,16)(14,42)(17,25)(18,30)(19,50)
        (20,48)(21,47)(22,44)(23,39)(26,28)(27,33)(29,35)(31,36)(34,38)(37,43)
        (40,41), ( 1, 4)( 2, 3)( 5, 6)(11,24)(12,32)(13,40)(14,38)(15,49)
        (16,41)(17,20)(18,44)(21,37)(22,30)(23,33)(25,48)(26,31)(27,39)(28,36)
        (29,35)(34,42)(43,47) ], 
  [ (), ( 1, 8)( 2, 4)( 3, 6)( 5, 7)( 9,31)(11,29)(12,44)(14,17)(15,21)(16,25)
        (18,24)(19,28)(20,45)(22,27)(23,41)(30,34)(33,40)(35,46)(36,43)(37,42)
        (49,50) ], 
  [ (), ( 1, 3)( 2, 4)( 5, 6)( 7,29)(11,34)(12,19)(14,22)(15,49)(16,37)(17,43)
        (18,44)(20,48)(21,24)(25,46)(27,33)(28,40)(30,41)(32,39)(36,50)(38,45)
        (42,47), ( 1, 4)( 2, 3)( 5, 6)( 7,46)( 8, 9)(10,26)(11,42)(12,36)
        (13,23)(15,49)(16,40)(17,32)(18,45)(19,50)(20,21)(24,48)(25,29)(27,30)
        (28,37)(31,35)(33,41)(34,47)(38,44)(39,43) ], 
  [ (), ( 1, 4)( 2, 5)( 3, 6)( 9,41)(10,50)(11,47)(12,26)(13,32)(15,44)(16,31)
        (17,21)(18,39)(20,28)(22,34)(23,25)(27,29)(30,35)(33,42)(36,38)(37,48)
        (45,49) ], [ () ], 
  [ (), ( 1,33)( 2,12)( 3,32)( 4,44)( 5,31)( 6,16)( 7,28)( 8,23)( 9,46)(10,43)
        (11,47)(14,45)(15,29)(17,21)(18,30)(19,41)(20,27)(24,40)(25,48)(26,49)
        (35,50)(36,42)(37,39) ], 
  [ (), ( 1, 8)( 2, 4)( 3, 6)( 5, 7)( 9,38)(10,47)(11,25)(12,40)(13,28)(14,27)
        (16,48)(17,34)(18,44)(19,35)(20,41)(21,31)(23,42)(24,49)(26,36)(29,30)
        (32,46)(33,45)(43,50) ], [ () ], 
  [ (), ( 1, 3)( 2, 4)( 5, 6)( 9,16)(10,35)(12,46)(13,29)(14,42)(15,47)(18,45)
        (19,41)(20,37)(21,28)(22,40)(23,50)(24,27)(25,33)(26,36)(30,49)(31,44)
        (32,48)(34,38)(39,43) ], 
  [ (), ( 1, 4)( 2, 3)( 5, 6)( 9,21)(10,31)(11,45)(13,41)(14,24)(15,28)(16,40)
        (18,49)(19,47)(20,50)(22,27)(25,32)(26,39)(29,36)(30,43)(34,37)(35,46)
        (38,48), ( 1, 6)( 4, 5)( 7,12)( 8,23)( 9,11)(10,31)(14,32)(15,39)
        (17,44)(18,48)(20,43)(21,45)(24,25)(26,28)(29,35)(30,50)(33,42)(36,46)
        (38,49) ], [ () ], 
  [ (), ( 1, 2)( 3, 4)( 6,37)( 7,27)( 9,25)(10,35)(11,32)(13,36)(14,26)(15,44)
        (16,40)(17,21)(18,49)(19,39)(20,41)(22,24)(23,29)(28,50)(30,43)(31,34)
        (33,42)(38,48)(46,47) ], 
  [ (), ( 1, 8)( 2, 4)( 3, 6)( 5, 7)(10,14)(11,29)(12,24)(15,46)(16,44)(17,41)
        (18,19)(20,50)(22,27)(30,39)(31,36)(33,49)(34,47)(40,43), 
      ( 1,18)( 2,39)( 3,29)( 4,30)( 5,27)( 6,11)( 7,22)( 8,19)( 9,32)(10,49)
        (14,33)(16,50)(17,43)(20,44)(21,38)(23,25)(26,28)(31,47)(34,36)(37,48)
        (40,41)(42,45) ], 
  [ ( 1, 9)( 2,21,39,13)( 3,35,19,47)( 4,42,36,17)( 5,14,23,31)( 6,27,49,43)
        ( 7,34,41,29)( 8,37,45,18)(10,16,46,25)(11,15,48,40)(12,33,50,20)
        (22,30)(24,26,32,38)(28,44) ], 
  [ (), ( 2,28)( 3,30)( 4,33)( 5,49)( 6,22)( 7,32)( 9,42)(10,27)(11,16)(12,43)
        (13,38)(14,44)(15,24)(17,41)(18,40)(19,26)(21,48)(23,47)(25,50)(29,36)
        (39,46), ( 1, 8)( 2, 4)( 3, 6)( 5, 7)(10,38)(11,23)(12,19)(13,27)
        (14,29)(15,21)(16,47)(17,18)(22,30)(24,48)(25,46)(26,43)(28,33)(32,49)
        (34,37)(35,45)(36,44)(39,50)(40,41) ], 
  [ (), ( 1,10)( 2,26)( 3,38)( 4,35)( 6,39)( 7,48)( 8,25)( 9,20)(11,23)(12,33)
        (13,46)(14,43)(15,16)(17,41)(18,50)(21,44)(22,27)(24,45)(28,36)(29,30)
        (31,47)(32,40)(34,42)(37,49), ( 1,26)( 2,10)( 3,35)( 4,38)( 7, 8)
        ( 9,12)(11,14)(17,28)(18,34)(20,33)(21,44)(22,27)(23,43)(24,45)(25,48)
        (31,40)(32,47)(36,41)(37,49)(42,50) ], 
  [ ( 1,14)( 2,27)( 3,41)( 4,36)( 5,46)( 6,33)( 7,23)( 8,29)( 9,45)(10,17)
        (11,25)(12,18)(13,39)(15,49)(19,44)(20,32)(21,22)(24,26)(30,34)(35,38)
        (37,43)(40,42)(48,50) ], [ () ], 
  [ (), ( 1,32)( 2,30)( 3, 4)( 5,37)( 6, 7)( 8,12)( 9,16)(11,17)(13,40)(14,50)
        (15,18)(19,47)(20,24)(21,41)(22,28)(23,48)(25,45)(26,36)(27,31)(33,42)
        (34,44)(35,49)(39,43), ( 1,37)( 2,30)( 5,32)( 6,41)( 7,21)( 8,26)
        ( 9,16)(10,38)(11,35)(12,36)(13,33)(14,22)(15,39)(17,49)(18,43)(20,31)
        (23,44)(24,27)(28,50)(34,48)(40,42) ], 
  [ (), ( 1,32)( 2,34)( 3, 9)( 4,50)( 5,47)( 6,19)( 8,14)(10,25)(15,28)(16,43)
        (17,49)(20,38)(24,33)(26,44)(30,37)(31,41)(35,40)(39,46)(42,48), 
      ( 1,44)( 3,43)( 4,42)( 6,49)( 7,27)( 8,25)( 9,16)(10,14)(11,29)(13,22)
        (15,30)(17,19)(18,36)(21,23)(24,33)(26,32)(28,37)(31,41)(35,39)(40,46)
        (48,50) ], 
  [ (), ( 1,19)( 2,49)( 5,20)( 6,44)( 7,12)( 8,48)( 9,33)(10,30)(11,45)(13,37)
        (14,41)(15,50)(16,35)(17,26)(18,43)(21,29)(22,36)(23,39)(24,27)(25,47)
        (28,38)(40,46), ( 1,49)( 2,19)( 3, 4)( 5,20)( 7,30)( 8,26)(10,12)
        (11,15)(13,18)(14,35)(16,41)(17,48)(21,39)(22,24)(23,29)(25,46)(27,36)
        (34,42)(37,43)(40,47)(45,50) ], 
  [ ( 1,18)( 2,26)( 3,13)( 4,27)( 5,44)( 8,37)( 9,42)(10,50)(11,32)(12,48)
        (14,45)(15,28)(16,30)(17,49)(19,20)(21,22)(23,35)(24,47)(25,36)(29,40)
        (31,41)(33,43)(38,39), ( 1,19)( 2,32)( 4,12)( 5,25)( 6,34)( 7,46)
        ( 9,24)(10,35)(11,26)(14,29)(15,39)(16,17)(18,20)(21,22)(23,50)(27,48)
        (28,38)(30,49)(36,44)(40,45)(42,47) ], 
  [ (), ( 1, 5)( 3, 4)( 6,46)( 7,48)( 8,45)(12,37)(13,20)(14,23)(15,27)(16,33)
        (17,35)(18,19)(21,29)(24,30)(25,34)(28,50)(31,39)(32,41)(36,44)(38,40)
        (43,49) ], [ () ], [ () ], 
  [ (), ( 2, 5)( 3,41)( 4,19)( 7,28)( 9,36)(11,21)(13,20)(14,34)(15,50)(16,40)
        (17,26)(18,45)(22,24)(23,30)(25,38)(32,49)(33,39)(37,44), 
      ( 1,46)( 2,16)( 3,22)( 4,39)( 5,40)( 6,35)( 7,28)( 8,12)( 9,34)(10,43)
        (11,18)(13,20)(14,36)(15,44)(19,33)(21,45)(23,30)(24,41)(25,32)(31,42)
        (37,50)(38,49)(47,48) ], 
  [ (), ( 2,15)( 3,39)( 4, 9)( 5,14)( 6,45)( 7,12)( 8,27)(10,20)(11,24)(13,43)
        (16,46)(17,50)(18,41)(19,47)(21,37)(22,49)(23,35)(25,48)(26,31)(28,44)
        (29,40)(30,42)(33,38), ( 1,34)( 3,21)( 4,49)( 6,41)( 8,43)( 9,22)
        (10,25)(11,44)(13,27)(18,45)(20,48)(23,31)(24,28)(26,35)(30,38)(33,42)
        (37,39) ], [ () ], [ () ], 
  [ (), ( 2,14)( 3,43)( 4,16)( 5,45)( 6,39)( 7,12)( 8,48)( 9,20)(10,47)(11,29)
        (13,18)(15,31)(17,19)(21,22)(23,40)(24,36)(25,44)(26,38)(27,28)(30,46)
        (32,42)(33,34)(35,37)(41,50), ( 1,49)( 3,39)( 4,38)( 6,18)( 7,37)
        ( 8,16)( 9,40)(10,35)(11,42)(12,30)(13,48)(14,44)(15,45)(17,33)(19,34)
        (20,32)(24,43)(25,31)(26,41)(36,50) ], 
  [ (), ( 1, 9)( 2,14)( 3,49)( 4,26)( 5,18)( 6,27)( 8,17)(10,39)(11,28)(12,23)
        (13,30)(15,22)(16,37)(19,35)(21,48)(24,33)(25,38)(29,50)(31,43)(32,41)
        (36,46)(42,44)(45,47) ], 
  [ (), ( 1, 7)( 2,14)( 4,32)( 5,12)( 6,18)( 9,49)(10,30)(11,25)(13,31)(15,46)
        (16,43)(17,20)(19,47)(23,40)(26,27)(28,39)(29,41)(33,36)(34,48)(35,38)
        (37,42)(44,45), ( 1,14)( 2, 7)( 3,21)( 5,34)( 6,18)( 9,26)(10,16)
        (11,31)(12,48)(13,25)(15,38)(17,33)(19,40)(20,36)(23,47)(27,49)(28,45)
        (29,42)(30,43)(35,46)(37,41)(39,44) ], [ () ], 
  [ ( 6,11)( 7, 8)(10,29)(12,35)(13,47)(15,19)(16,40)(17,23)(21,38)(24,42)
        (25,32)(26,37)(27,45)(28,49)(30,31)(34,46)(36,43)(39,44), 
      ( 1,21)( 2,39)( 3,19)( 4,36)( 5,17)( 7,10)( 8,35)(11,33)(12,29)(13,37)
        (16,40)(18,42)(20,49)(22,46)(25,26)(30,31)(32,47)(45,50), 
      ( 1,45,38,50,21,27)( 2,46,44,22,39,34)( 3,19,15)( 4,36,43)
        ( 5,11,23,33,17, 6)( 7,25,29,37,35,47)( 8,13,12,26,10,32)( 9,48)
        (14,41)(16,40)(18,42,24)(20,49,28)(30,31), 
      ( 1,46,38,22,21,34)( 2,45,44,50,39,27)( 3,36,15, 4,19,43)
        ( 5,11,23,33,17, 6)( 7,13,29,26,35,32)( 8,25,12,37,10,47)(14,41)
        (16,30)(18,49,24,20,42,28)(31,40) ], 
  [ (), ( 2,22)( 3,49)( 4,27)( 6,31)( 7,20)( 8,29)( 9,16)(10,48)(11,50)(12,38)
        (13,24)(14,34)(15,39)(17,35)(18,44)(19,36)(21,30)(25,43)(26,45)(28,40)
        (32,41)(33,46)(37,47), ( 1,42)( 2, 7)( 3,44)( 4,46)( 6,30)( 8, 9)
        (10,17)(11,19)(12,47)(13,34)(14,24)(15,28)(16,29)(18,49)(20,22)(21,31)
        (25,32)(27,33)(35,48)(36,50)(37,38)(39,40)(41,43) ], 
  [ (), ( 6,33)( 7,23)( 8,12)( 9,17)(10,35)(11,48)(13,40)(14,21)(16,24)(18,46)
        (19,34)(20,25)(22,37)(26,39)(27,32)(28,43)(29,41)(30,49)(36,38)(42,47)
        , ( 1,15)( 2,45)( 3,31)( 4,50)( 5,44)( 6,10)( 8,48)( 9,19)(11,12)
        (13,14)(16,26)(17,34)(18,28)(20,41)(21,40)(22,36)(24,39)(25,29)(27,30)
        (32,49)(33,35)(37,38)(42,47)(43,46) ], [ () ], 
  [ (), ( 1, 6)( 4, 5)( 7,50)(10,44)(11,33)(12,38)(14,48)(15,24)(16,22)(17,27)
        (18,37)(19,42)(20,23)(21,28)(26,49)(29,45)(30,47)(34,46)(35,41)
        (36,39) ], 
  [ (), ( 1,20)( 2,17)( 3,30)( 5,35)( 6,21)( 7,45)( 8,27)( 9,50)(10,47)(11,18)
        (12,40)(13,38)(14,19)(15,23)(16,46)(22,49)(24,39)(25,31)(28,42)(29,34)
        (32,36)(33,44)(43,48) ], 
  [ (), ( 1,11)( 2,22)( 4,18)( 5, 8)( 9,47)(10,20)(12,16)(13,36)(14,42)(15,24)
        (17,30)(21,31)(23,33)(25,32)(27,37)(29,41)(34,35)(38,50)(39,46)(44,49)
        (45,48) ], 
  [ (), ( 1,38)( 2,47)( 3,25)( 4,40)( 5,13)( 7, 9)( 8,26)(10,11)(14,43)(15,50)
        (16,35)(17,42)(18,22)(19,27)(21,29)(23,31)(24,45)(30,46)(33,49)(34,37)
        (39,44)(41,48) ], 
  [ (), ( 1,10, 2,24)( 3,13, 4,43)( 6,37)( 7,47,21,44)( 8,29,27,20)
        ( 9,16,42,15)(11,35,22,31)(12,40,45,34)(14,23,39,28)(17,36,46,50)
        (18,32,49,33)(19,48)(25,41,30,26) ], 
  [ ( 1,40)( 2,13)( 3,28)( 4,31)( 5, 8)( 6,36)(10,21)(11,42)(12,32)(14,19)
        (15,37)(16,34)(18,27)(22,30)(25,44)(26,49)(33,45)(35,41)(38,46)(39,47)
        (43,48) ], 
  [ ( 1,10,39)( 2,31,35)( 3,15,14)( 4,41,16)( 5,26,49)( 6,47,29)( 7,23,24)
        ( 9,21,18)(11,46,43)(12,20,13)(17,36,27)(19,30,28)(22,45,32)(25,40,50)
        (33,44,34)(37,38,42), ( 1,46)( 2,29)( 3,38)( 4, 9)( 5,36)( 6,35)
        (10,11)(12,33)(13,44)(14,42)(15,37)(16,21)(17,26)(18,41)(20,34)(22,25)
        (23,24)(27,49)(28,30)(31,47)(32,40)(39,43)(45,50) ], 
  [ (), ( 1, 7)( 2,13)( 3,44)( 4,30)( 5,47)( 6,19)( 8,12)( 9,39)(10,23)(14,34)
        (15,32)(16,21)(17,38)(18,29)(20,43)(22,35)(24,25)(26,41)(27,37)(33,46)
        (36,48)(49,50), ( 1,16,23,26)( 2,13,22,35)( 3,15, 6, 9)( 4,14,34,30)
        ( 5,45,47,28)( 7,41,10,21)( 8,50)(11,29,31,18)(12,49)(17,48,36,38)
        (19,32,44,39)(20,24,33,37)(25,43,27,46)(40,42), 
      ( 1,26,23,16)( 2,35,22,13)( 3, 9, 6,15)( 4,30,34,14)( 5,28,47,45)
        ( 7,21,10,41)( 8,50)(11,18,31,29)(12,49)(17,38,36,48)(19,39,44,32)
        (20,37,33,24)(25,46,27,43)(40,42) ], 
  [ ( 8,11)( 9,43)(10,28)(12,30)(13,36)(14,50)(15,25)(17,29)(19,21)(20,47)
        (22,27)(23,45)(24,31)(26,41)(32,49)(33,35)(34,46)(38,42)(40,48), 
      ( 1, 6)( 2, 5)( 3, 7)( 8,28)( 9,33)(10,11)(12,41)(13,22)(14,50)(15,25)
        (17,38)(18,39)(19,46)(20,32)(21,34)(23,48)(26,30)(27,36)(29,42)(35,43)
        (37,44)(40,45)(47,49) ], [ () ], [ () ], 
  [ (), ( 1,33)( 2,32)( 3,37)( 5,40)( 7,16)( 8,34)( 9,35)(10,20)(11,24)(12,19)
        (13,44)(14,29)(15,30)(18,48)(21,49)(22,31)(23,28)(25,45)(38,43)(41,46)
        (42,50) ], 
  [ (), ( 1, 4)( 2,17)( 3,42)( 5,23)( 6,24)( 7,46)( 8,19)( 9,10)(12,28)(13,18)
        (14,43)(15,26)(16,38)(20,37)(21,33)(22,49)(27,41)(29,31)(32,47)(34,35)
        (36,45)(39,50)(44,48), ( 1,12)( 2,13)( 4,28)( 5,10)( 6,35)( 7,27)
        ( 8,44)( 9,23)(14,32)(15,49)(16,21)(17,18)(19,48)(20,45)(22,26)(24,34)
        (25,40)(33,38)(36,37)(41,46)(43,47), 
      ( 1,28)( 2,14)( 3,31)( 4,12)( 5,24)( 6,23)( 8,33)( 9,35)(10,34)(11,30)
        (13,32)(15,26)(16,48)(17,43)(18,47)(19,21)(20,36)(22,49)(29,42)(37,45)
        (38,44) ], [ () ], 
  [ (), ( 1,22)( 2,39)( 3,40)( 4,49)( 5,14)( 7,23)( 8,15)(10,42)(11,21)(13,38)
        (16,45)(17,44)(18,29)(19,24)(20,31)(25,32)(27,33)(34,46)(36,48)(37,43)
        (41,50) ], 
  [ (), ( 1,39)( 2,15)( 3,46)( 4,18)( 5,47)( 6,13)( 7,49)( 9,12)(10,40)(11,19)
        (14,43)(16,36)(17,42)(20,26)(21,27)(23,32)(24,28)(25,38)(29,31)(30,37)
        (33,45)(34,41)(35,48) ], 
  [ (), ( 1, 5)( 2,30)( 3,43)( 4,44)( 6,12)( 7,19)( 8,14)( 9,24)(10,27)(11,45)
        (13,15)(16,28)(17,49)(20,39)(22,41)(23,47)(25,34)(26,29)(31,40)(32,33)
        (35,50)(36,48)(37,38)(42,46) ], 
  [ ( 7, 9)( 8,10)(11,15)(12,46)(13,20)(14,44)(16,39)(17,30)(19,32)(21,43)
        (22,49)(25,41)(26,28)(27,29)(31,38)(33,47)(34,36)(35,40)(37,45)(42,50)
        , ( 1, 6)( 4, 5)( 8,10)(11,50)(13,34)(14,44)(15,42)(16,21)(17,35)
        (18,24)(19,22)(20,36)(25,27)(26,37)(28,45)(29,41)(30,40)(31,47)(32,49)
        (33,38)(39,43), ( 1,33)( 2, 7)( 3, 9)( 4,31)( 5,47)( 6,38)( 8,44)
        (10,14)(12,23)(13,19)(15,41)(16,21)(17,36)(18,24)(20,35)(22,34)(26,40)
        (28,32)(29,42)(30,37)(45,49)(46,48), 
      ( 1,49,19, 6,32,22)( 2, 9, 7)( 4,28,37, 5,45,26)( 8,25,41,10,27,29)
        (11,15,14,50,42,44)(12,23,46)(13,31,35,34,47,17)(16,24,39,21,18,43)
        (20,30,33,36,40,38) ], 
  [ (), ( 3,26)( 4,12)( 5,42)( 6,34)( 8,38)( 9,28)(10,31)(11,35)(13,33)(15,19)
        (16,23)(17,41)(20,30)(24,39)(25,46)(27,36)(29,44)(32,37)(43,45)(47,50)
        , ( 1,36,18,27)( 2,33,22,13)( 5,31,47,38)( 6,24,25, 9)( 7,23,14,16)
        ( 8,50,10,42)(11,44,29,35)(15,41,17,19)(20,43,45,30)(28,46,39,34), 
      ( 1,43)( 2,44)( 5,34)( 6,10)( 7,41)( 8,25)( 9,42)(11,33)(13,29)(14,19)
        (15,23)(16,17)(18,30)(20,36)(21,49)(22,35)(24,50)(27,45)(28,38)(31,39)
        (40,48)(46,47), ( 1,44,27,11,18,35,36,29)( 2,43,13,20,22,30,33,45)
        ( 3, 4)( 5,34,38,39,47,46,31,28)( 6,42, 9,10,25,50,24, 8)
        ( 7,41,16,15,14,19,23,17)(12,26)(21,40)(48,49) ], 
  [ (), ( 1, 6,13)( 2,42, 3)( 4,10,36)( 5,37,41)( 7,20,31)( 8,48,32)( 9,33,49)
        (11,39,28)(12,29,15)(14,43,18)(16,25,44)(17,23,21)(19,34,27)(24,47,45)
        (26,50,30)(35,40,38), ( 1,10)( 2, 6)( 3,20)( 4,42)( 5,37)( 7,13)
        ( 8,48)( 9,43)(11,14)(12,35)(15,25)(16,40)(17,38)(18,34)(19,39)(21,29)
        (22,32)(23,44)(24,26)(27,49)(28,33)(31,36)(41,46)(47,50), 
      ( 1,20,10, 3)( 2, 7, 6,13)( 4,31,42,36)( 5,46,37,41)( 8,22,48,32)
        ( 9,14,43,11)(12,16,35,40)(15,38,25,17)(18,33,34,28)(19,49,39,27)
        (21,44,29,23)(24,47,26,50)(30,45) ], [ () ], 
  [ (), ( 1, 3)( 2, 4)( 5, 6)(10,50)(11,12)(13,21)(14,25)(15,30)(16,20)(17,40)
        (19,49)(22,34)(23,42)(24,38)(26,45)(27,46)(28,29)(31,32)(35,41)(36,48)
        (37,43)(39,47), ( 1,21)( 2,20)( 3,13)( 4,16)( 5,35)( 6,41)( 7,44)
        ( 9,18)(10,46)(11,42)(12,23)(14,25)(15,38)(17,47)(19,43)(22,28)(24,30)
        (26,45)(27,50)(29,34)(31,32)(36,48)(37,49)(39,40) ], 
  [ (), ( 2, 6)( 3, 5)( 9,21)(10,38)(11,37)(12,14)(15,35)(16,34)(18,36)(22,23)
        (24,50)(25,29)(26,46)(27,28)(31,41)(32,40)(39,45)(43,48) ], [ () ], 
  [ (), ( 1,12)( 2,47)( 3,23)( 4,44)( 5,17)( 6,25)( 8,13)( 9,14)(10,29)(11,22)
        (16,46)(18,19)(20,43)(21,50)(24,33)(26,28)(30,35)(32,41)(34,40)(36,49)
        (37,39)(38,45)(42,48), ( 1,46)( 2,35)( 4,32)( 5,48)( 6,19)( 7,27)
        ( 8,13)( 9,21)(10,29)(11,39)(12,16)(14,50)(15,31)(17,42)(18,25)(20,26)
        (22,37)(24,33)(28,43)(30,47)(34,40)(36,45)(38,49)(41,44) ], 
  [ (), ( 1, 8,18,44)( 2,26,46, 9)( 3,15,19,38)( 4,41,33,16)( 5,48,50,40)
        ( 6,47)( 7,30)(10,11,34,25)(12,31,17,27)(13,49,28,36)(14,23,42,20)
        (21,35,43,24)(22,32,45,39)(29,37), ( 1,18)( 2,46)( 3,19)( 4,33)( 5,50)
        ( 8,44)( 9,26)(10,34)(11,25)(12,17)(13,28)(14,42)(15,38)(16,41)(20,23)
        (21,43)(22,45)(24,35)(27,31)(32,39)(36,49)(40,48), 
      ( 1,26)( 2, 8)( 3,41)( 4,15)( 5,48)( 6,47)( 7,29)( 9,18)(10,32)(11,22)
        (12,23)(13,36)(14,31)(16,19)(17,20)(24,35)(25,45)(27,42)(28,49)(30,37)
        (33,38)(34,39)(40,50)(44,46), ( 1,44,18, 8)( 2, 9,46,26)( 3,38,19,15)
        ( 4,16,33,41)( 5,40,50,48)( 6,47)( 7,30)(10,25,34,11)(12,27,17,31)
        (13,36,28,49)(14,20,42,23)(21,24,43,35)(22,39,45,32)(29,37) ], 
  [ (), ( 1, 5)( 2, 3)( 4, 6)( 7, 8)( 9,41)(10,43)(11,42)(12,39)(13,31)(14,35)
        (15,18)(16,44)(17,22)(19,24)(20,47)(21,45)(23,26)(25,37)(29,30)(32,46)
        (33,36)(34,50)(38,49)(40,48) ], [ () ], [ () ], 
  [ ( 7,10,15, 9, 8,41,44,43)(11,39,26,42,16,33,46,30)(13,27,48,19,31,22,50,24
         ), ( 2,47)( 3,29)( 5,35)( 6,12)( 7,15)( 8,44)( 9,43)(11,13)(16,31)
        (17,49)(18,32)(19,33)(20,38)(22,42)(23,34)(24,39)(25,40)(26,50)(27,30)
        (46,48), ( 1,21)( 2, 3)( 4,37)( 5,35)( 6,12)( 7,44, 8,15)( 9,10,43,41)
        (11,31,16,13)(17,40)(18,38)(19,42,24,30)(20,32)(22,33,27,39)(23,34)
        (25,49)(26,50,46,48)(29,47)(36,45), 
      ( 1,29,38,45,20, 3)( 2,49,36,17,47, 4)( 5,40,14,25,35,37)
        ( 6,21,12,32,28,18)( 7,31,16,15,48,46)( 8,13,11,44,50,26)
        ( 9,27,30,43,22,42)(10,19,33)(24,39,41), 
      ( 1,44,21, 8, 4,15,37, 7)( 2,27,12,24,29,22, 5,19)( 3,30,35,33,47,42, 6,
         39)( 9,14,10,36,43,28,41,45)(11,49,46,40,16,38,26,32)(13,18,50,17,31,
         25,48,20), ( 1,45,37,28, 4,36,21,14)( 2,18, 5,20,29,25,12,17)
        ( 3,40, 6,49,47,32,35,38)( 7,43,44,41, 8, 9,15,10)(11,30,46,33,16,42,
         26,39)(13,24,50,22,31,19,48,27), 
      ( 1,49,20, 4,38,17)( 2,45,47,29,36, 3)( 5,28,35,12,14, 6)
        ( 7,30,13,10,11,27,15,39,48, 9,26,19, 8,42,31,41,16,22,44,33,50,43,46,
         24)(18,37,32,25,21,40) ], 
  [ ( 2, 6)( 3, 5)(10,14)(11,22)(12,45)(13,37)(15,28)(16,23)(17,21)(18,44)
        (19,40)(20,29)(24,50)(25,48)(26,43)(27,46)(30,49)(31,35)(32,36)(33,34)
        (38,47)(39,42), ( 1,40, 4,19)( 2,20, 3,13)( 5,29, 6,37)( 9,45,41,12)
        (10,28,24,44)(11,30,17,27)(14,18,50,15)(16,34,25,42)(21,49,22,46)
        (23,39,48,33)(26,43,38,47)(31,35,32,36), 
      ( 1,46,20,35, 5,11,19,22, 2,31,37,27, 4,49,13,36, 6,17,40,21, 3,32,29,30
         )( 9,16,28,47,50,39,12,42,10,38,18,23,41,25,44,43,14,33,45,34,24,26,
         15,48) ], 
  [ (), ( 1, 4)( 2, 5)( 3, 6)( 7, 8)( 9,45)(10,34)(11,48)(12,30)(14,49)(17,38)
        (18,19)(20,41)(23,44)(24,29)(25,28)(26,27)(31,40)(35,36)(37,43)(39,42)
        (47,50), ( 1,11)( 2,23)( 3,12)( 4,48)( 5,44)( 6,30)( 7,40)( 8,31)
        ( 9,41)(10,42)(13,22)(14,38)(15,21)(17,49)(18,37)(19,43)(20,45)(24,25)
        (28,29)(32,46)(34,39)(35,50)(36,47) ], 
  [ (), ( 2, 6)( 3, 5)( 7,20)( 8,40)( 9,15)(11,13)(12,17)(14,43)(16,42)(18,32)
        (19,33)(21,39)(22,38)(23,44)(24,45)(25,35)(26,49)(27,50)(28,46)(29,37)
        (30,48)(31,47)(36,41), ( 2,37)( 3,22)( 5,38)( 6,29)( 7,20)( 8,40)
        ( 9,43)(11,26)(12,50)(13,49)(14,15)(16,42)(17,27)(18,19)(23,24)(28,30)
        (31,47)(32,33)(36,41)(44,45)(46,48), 
      ( 1, 4)( 2, 3)( 5, 6)( 7,40)( 8,20)( 9,45)(11,12)(13,17)(14,23)(15,24)
        (16,47)(18,46)(19,48)(21,25)(22,37)(26,50)(27,49)(28,32)(29,38)(30,33)
        (31,42)(35,39)(36,41)(43,44) ], 
  [ (), ( 1, 5)( 2, 3)( 4, 6)( 7, 8)( 9,23)(10,17)(11,49)(12,26)(13,31)(15,25)
        (16,32)(18,47)(19,50)(20,43)(21,28)(30,45)(34,44)(35,39)(37,41)
        (38,46) ], 
  [ (), ( 1, 3)( 2, 4)( 5, 6)( 7, 8)( 9,31)(10,36)(11,40)(12,14)(13,24)(16,20)
        (17,47)(18,26)(19,25)(22,41)(27,34)(28,48)(29,45)(30,32)(33,50)(35,49)
        (37,39)(38,46)(42,44), ( 1, 6)( 2, 3)( 4, 7)( 5, 8)( 9,11)(10,12)
        (13,32)(14,49)(15,33)(16,41)(17,37)(18,47)(19,45)(20,40)(22,31)(23,50)
        (24,42)(26,48)(27,36)(28,39)(30,46)(34,35)(38,44), 
      ( 1,17)( 2,18)( 3,47)( 4,26)( 5,39)( 6,37)( 7,48)( 8,28)(10,49)(12,14)
        (13,32)(15,23)(19,45)(24,30)(25,29)(27,34)(33,50)(35,36)(38,44)(42,46)
        , ( 1,18)( 2,17)( 3,47)( 4,37)( 5,48)( 6,26)( 7,39)( 8,28)(10,24)
        (11,31)(12,13)(14,32)(15,29)(19,50)(20,41)(22,40)(23,25)(27,44)(30,49)
        (33,45)(34,38)(35,46)(36,42), 
      ( 1,37, 5,47, 7,26, 2,28)( 3,48, 4,18, 8,17, 6,39)( 9,20,40,11,16,31,22,
         41)(10,38,14,42,35,13,27,30)(12,46,36,32,34,24,49,44)(15,19,50,29,23,
         45,33,25) ], 
  [ (), ( 1,26)( 2,49)( 4,44)( 5, 9)( 6,25)( 7,22)( 8,33)(11,18)(12,16)(13,19)
        (14,29)(15,35)(17,37)(20,27)(21,28)(23,41)(24,42)(30,36)(34,48)(38,45)
        (39,40)(43,46) ], [ () ], 
  [ (), ( 1, 9)( 2, 7)( 3,39)( 5,22)( 6,33)( 8,19)(10,14)(11,15)(12,13)(17,40)
        (18,31)(20,45)(21,47)(23,35)(24,41)(25,36)(26,37)(27,48)(30,43)(32,46)
        (34,50)(38,42) ], 
  [ (), ( 1,47)( 2,17)( 5,20)( 6, 9)( 8,42)(10,11)(12,38)(13,32)(14,40)(15,34)
        (16,39)(19,36)(21,48)(22,37)(26,31)(27,35)(28,43)(33,45)(41,44) ], 
  [ (), ( 1, 9)( 3,32)( 4,23)( 5,46)( 6,42)( 7,25)( 8,47)(10,13)(11,22)(12,39)
        (14,43)(15,36)(16,18)(17,26)(19,49)(20,48)(21,24)(27,33)(30,50)(31,40)
        (34,38)(35,44)(41,45) ], 
  [ (), ( 1, 5)( 2, 3)( 4, 6)( 7,18)( 8,35)( 9,36)(10,46)(11,25)(12,37)(13,44)
        (14,19)(15,34)(16,40)(17,29)(21,48)(22,42)(23,49)(24,50)(27,32)(28,47)
        (30,43)(33,39)(38,45) ], 
  [ (), ( 1,11)( 2,22)( 4,18)( 5, 8)( 9,20)(12,14)(13,43)(15,16)(19,35)(21,36)
        (23,33)(24,38)(25,32)(26,50)(27,29)(30,47)(31,49)(37,42)(39,46)
        (41,48) ], [ () ], 
  [ ( 2,42)( 3,29)( 4,19)( 5,22)( 6,21)( 7,43)( 8,26)( 9,16)(10,25)(11,48)
        (12,33)(13,49)(14,44)(15,28)(17,27)(18,50)(23,37)(30,39)(32,35)(34,46)
        (40,41) ], [ () ], 
  [ (), ( 1,32)( 2,44)( 3,46)( 5,39)( 6, 7)( 8,48)( 9,22)(10,34)(11,50)(12,19)
        (13,20)(14,33)(15,31)(16,18)(17,21)(23,47)(24,41)(25,27)(28,30)(35,43)
        (36,40)(37,45)(38,49) ], 
  [ (), ( 1, 3)( 2,18)( 4,13)( 6,47)( 7,20)( 8,39)( 9,46)(11,48)(12,37)(14,29)
        (15,16)(17,26)(19,33)(21,45)(22,28)(23,41)(24,50)(25,27)(30,38)(31,36)
        (34,40) ], [ () ], 
  [ (), ( 1,10)( 2, 8)( 4,38)( 5,14)( 6,28)( 7,23)( 9,12)(13,27)(15,16)(17,48)
        (18,42)(19,41)(20,46)(22,32)(24,29)(25,36)(26,35)(30,47)(31,37)(33,43)
        (34,49)(40,50)(44,45) ], 
  [ (), ( 1, 4)( 2, 5)( 3, 6)( 9,30)(10,46)(11,42)(12,22)(13,18)(14,41)(15,25)
        (16,19)(17,27)(20,48)(21,47)(23,43)(24,29)(26,50)(28,49)(31,38)(33,39)
        (34,45) ], [ () ], [ () ], [ () ], [ () ], [ () ], 
  [ (), ( 1,12)( 2,31)( 3,45)( 4,44)( 5,26)( 6,23)( 7,34)( 8,46)( 9,11)(10,17)
        (13,42)(14,27)(16,38)(18,32)(19,47)(22,48)(24,49)(25,35)(28,36)(30,41)
        (33,40)(37,39), ( 1,22)( 2,16)( 3,45)( 4,14)( 6,30)( 8,36)(10,18)
        (12,48)(13,37)(15,50)(17,32)(19,33)(20,21)(23,41)(27,44)(28,46)(29,43)
        (31,38)(39,42)(40,47) ], 
  [ (), ( 1, 5)( 2,33)( 3,25)( 4,28)( 6,11)( 7,23)( 9,50)(10,37)(12,48)(13,32)
        (14,15)(16,47)(18,36)(19,49)(20,24)(21,40)(34,42)(35,39)(38,46)(41,45)
        (43,44) ], [ () ], 
  [ (), ( 1, 4)( 2, 3)( 5, 6)( 7, 9)( 8,23)(11,37)(13,19)(15,44)(16,48)(17,24)
        (20,47)(22,28)(25,45)(27,34)(29,36)(30,50)(31,41)(35,42)(38,43)(39,49)
        (40,46) ], [ () ], [ () ], [ () ], 
  [ (), ( 1, 5)( 2, 3)( 4, 6)( 7,37)( 8, 9)(11,15)(12,32)(13,27)(14,28)(16,22)
        (17,19)(18,25)(20,39)(21,42)(23,47)(24,31)(29,43)(33,34)(35,48)(36,40)
        (38,46)(45,50) ], 
  [ ( 2,22)( 3,45)( 4,44)( 5,31)( 6,42)( 7,43)( 8,16)( 9,38)(10,12)(13,21)
        (14,37)(15,40)(17,28)(18,48)(19,35)(20,49)(23,39)(25,46)(26,29)(27,50)
        (36,47) ], 
  [ (), ( 1,44)( 2,24)( 4,21)( 5,23)( 6,32)( 7,15)( 8,17)( 9,42)(10,27)(11,30)
        (12,31)(13,36)(18,43)(19,29)(20,25)(22,28)(26,39)(33,41)(34,37)(35,38)
        (45,49)(46,50)(47,48) ], 
  [ (), ( 1,26)( 2, 6)( 3,16)( 4,48)( 5,29)( 7,18)( 8,14)( 9,20)(10,41)(11,22)
        (12,34)(13,39)(17,42)(19,31)(21,37)(23,46)(24,50)(25,38)(27,47)(28,32)
        (30,45)(35,40)(36,49)(43,44) ], [ () ], [ () ], [ () ], [ () ], 
  [ (), ( 1,15)( 2, 6)( 3,12)( 4,10)( 5,28)( 7,40)( 8,25)(11,35)(13,24)(14,20)
        (16,22)(18,44)(19,48)(21,43)(23,37)(27,34)(29,50)(30,39)(31,41)(32,47)
        (33,36)(38,45)(42,46) ], 
  [ (), ( 1, 5)( 2, 3)( 4, 6)( 8,10)(11,15)(12,35)(13,42)(16,43)(17,24)(18,45)
        (19,46)(20,21)(23,26)(25,30)(27,36)(28,44)(31,32)(33,49)(37,47)(38,40)
        (39,41)(48,50) ], [ () ], 
  [ (), ( 1, 3)( 2, 4)( 5, 6)( 7, 8)( 9,49)(10,27)(12,28)(14,37)(15,19)(16,41)
        (18,31)(20,26)(22,30)(23,48)(24,25)(32,40)(34,50)(36,45)(38,44)(42,46)
        (43,47) ], [ () ], 
  [ (), ( 1,45)( 2,33)( 5,34)( 6,17)( 7,11)( 8,20)( 9,12)(10,29)(13,44)(14,43)
        (15,47)(16,25)(19,31)(21,48)(22,42)(23,30)(24,38)(26,39)(27,32)(28,46)
        (35,41)(36,50)(37,40) ], 
  [ (), ( 1,16)( 2,23)( 3,21)( 5,24)( 6,22)( 8,13)( 9,30)(10,38)(11,20)(12,17)
        (14,18)(15,45)(19,43)(25,28)(26,41)(27,29)(31,49)(32,46)(33,42)(34,48)
        (36,47)(37,44)(40,50) ], 
  [ (), ( 1,25)( 2,49)( 3,29)( 4,31)( 5,16)( 6,28)( 8,41)( 9,12)(10,44)(11,20)
        (14,21)(15,27)(17,26)(19,32)(22,37)(23,38)(30,34)(33,35)(36,50)(39,46)
        (42,45), ( 1,45)( 2,26)( 3,31)( 4,29)( 5,11)( 6,38)( 8,19)( 9,50)
        (12,36)(13,48)(14,21)(15,34)(16,20)(17,49)(18,43)(23,28)(24,47)(25,42)
        (27,30)(32,41)(33,35) ], 
  [ (), ( 1,23)( 2,24)( 4,13)( 5,19)( 6,37)( 7,20)( 8,11)( 9,40)(10,43)(14,25)
        (15,32)(16,18)(17,49)(21,50)(22,45)(26,47)(27,42)(28,36)(29,41)(30,39)
        (33,46)(34,38)(35,44) ], [ () ], 
  [ (), ( 1, 5)( 3, 4)( 6,21)( 7,41)( 8,36)( 9,16)(10,13)(12,26)(14,23)(15,43)
        (17,44)(18,28)(19,47)(20,39)(22,37)(24,31)(27,45)(29,46)(30,34)(32,48)
        (33,40)(35,38)(49,50) ], 
  [ (), ( 1, 8)( 3,21)( 4,39)( 5,24)( 7,16)( 9,42)(10,47)(11,49)(12,48)(13,31)
        (14,27)(19,46)(22,29)(23,40)(25,50)(26,43)(28,38)(30,35)(32,34)(33,44)
        (36,45)(37,41) ], 
  [ (), ( 1,11)( 2,39)( 3,29)( 4,31)( 5,42)( 6,30)( 7,44)( 8,49)( 9,25)(10,32)
        (12,43)(13,22)(14,47)(16,50)(17,36)(19,20)(21,35)(23,48)(24,40)(26,46)
        (27,28)(33,34)(41,45), ( 1,17)( 2,43)( 4,31)( 5,33)( 7,25)( 8,19)
        ( 9,44)(10,48)(11,36)(12,39)(14,27)(15,37)(16,45)(18,38)(20,49)(23,32)
        (24,40)(26,46)(28,47)(34,42)(41,50) ], [ () ], [ () ], 
  [ (), ( 1, 9,39)( 2,18,25)( 3, 6, 7)( 4,34,43)( 5,16,23)( 8,10,17)(11,49,40)
        (12,38,29)(13,45,15)(14,48,36)(19,33,28)(20,30,44)(22,27,31)(24,26,32)
        (35,46,42)(37,47,50), ( 1,34)( 2,16)( 3, 7)( 4, 9)( 5,18)( 8,17)
        (11,47)(12,38)(13,15)(14,20)(19,46)(22,26)(23,25)(24,27)(28,42)(30,36)
        (31,32)(33,35)(37,49)(39,43)(40,50)(44,48) ], [ () ], 
  [ (), ( 1,27)( 2,37)( 3,34)( 4,32)( 5,33)( 6,24)( 7,30)( 8,46)( 9,44)(10,11)
        (12,31)(13,19)(14,36)(15,23)(16,42)(17,20)(18,43)(21,45)(22,35)(25,41)
        (26,48)(29,50)(39,47)(40,49) ], 
  [ ( 2,25)( 3,18)( 4, 9)( 5,36)( 6,32)( 7,45)( 8,40)(10,12)(11,39)(13,37)
        (16,31)(17,46)(19,44)(20,27)(21,24)(22,38)(23,49)(29,35)(30,48)(33,42)
        (34,47)(41,50) ], [ () ], 
  [ (), ( 1,26)( 2,15)( 3,12)( 4,17)( 6,25)( 7,49)( 8,13)( 9,46)(10,27)(11,39)
        (14,44)(16,20)(18,45)(19,37)(21,30)(22,36)(23,38)(24,41)(28,50)(29,33)
        (31,35)(32,48)(34,43)(40,47) ], 
  [ (), ( 3, 7)( 4,48)( 5,41)( 6,26)( 8,43)( 9,18)(10,37)(11,33)(12,22)(13,36)
        (15,35)(16,32)(17,23)(19,47)(20,31)(21,39)(24,45)(25,40)(27,50)(28,38)
        (30,34)(42,49), ( 3, 9,30,22)( 4, 5,42,20)( 6,28,36, 8)( 7,12,34,18)
        (10,11,24,19)(13,38,26,43)(14,21,46,39)(15,35,50,27)(16,25,40,32)
        (17,29,23,44)(31,49,41,48)(33,37,47,45), 
      ( 3,12)( 4,31)( 5,48)( 6,43)( 7, 9)( 8,13)(10,47)(11,37)(14,21)(15,50)
        (17,44)(18,30)(19,45)(20,49)(22,34)(23,29)(24,33)(25,32)(26,28)(36,38)
        (39,46)(41,42), ( 3,18)( 4,41)( 5,49)( 6,38)( 7,22)( 8,26)( 9,34)
        (10,33)(11,45)(12,30)(13,28)(14,39)(16,40)(17,29)(19,37)(20,48)(21,46)
        (23,44)(24,47)(27,35)(31,42)(36,43), 
      ( 3,22,30, 9)( 4,20,42, 5)( 6, 8,36,28)( 7,18,34,12)(10,19,24,11)
        (13,43,26,38)(14,39,46,21)(15,27,50,35)(16,32,40,25)(17,44,23,29)
        (31,48,41,49)(33,45,47,37), ( 3,30)( 4,42)( 5,20)( 6,36)( 7,34)( 8,28)
        ( 9,22)(10,24)(11,19)(12,18)(13,26)(14,46)(15,50)(16,40)(17,23)(21,39)
        (25,32)(27,35)(29,44)(31,41)(33,47)(37,45)(38,43)(48,49), 
      ( 3,34)( 4,49)( 5,31)( 6,13)( 7,30)( 8,38)( 9,12)(10,45)(11,47)(14,46)
        (15,27)(16,25)(18,22)(19,33)(20,41)(24,37)(26,36)(28,43)(29,44)(32,40)
        (35,50)(42,48), ( 1, 2)( 4,43)( 5,26)( 6,41)( 8,48)( 9,22)(10,19)
        (11,24)(12,18)(13,20)(15,27)(16,25)(17,23)(21,39)(28,49)(31,36)(32,40)
        (33,45)(35,50)(37,47)(38,42) ], [ () ], [ () ], [ () ], 
  [ (), ( 2,49)( 3,11)( 4,36)( 6,37)( 7,34)( 8,24)( 9,25)(10,33)(12,16)(19,23)
        (21,22)(26,31)(29,46)(30,41)(32,44)(35,50)(47,48), 
      ( 1, 5)( 3, 4)( 6,34)( 7,37)( 8,47)( 9,35)(10,21)(11,36)(12,31)(13,45)
        (14,17)(15,39)(16,26)(18,42)(20,38)(22,33)(24,48)(25,50)(27,43)(29,41)
        (30,46)(32,44), ( 1, 9)( 2,23)( 3,18)( 4,42)( 5,35)( 6,37)( 7,34)
        ( 8,47)(10,21)(11,15)(12,16)(20,50)(22,48)(24,33)(25,38)(26,31)(29,46)
        (30,41)(32,44)(36,39) ], [ () ], 
  [ (), ( 1,11)( 2,39)( 3,21)( 4,32)( 5,34)( 6,28)( 7,41)( 8,29)( 9,31)(10,30)
        (12,46)(14,49)(15,44)(16,50)(17,19)(22,48)(23,45)(26,47)(33,38)(36,43)
        (37,40) ], 
  [ (), ( 1, 5)( 2, 3)( 4, 6)( 7,10)( 8, 9)(11,45)(12,18)(13,17)(14,46)(15,19)
        (20,26)(21,29)(23,48)(24,47)(25,49)(27,40)(28,39)(30,38)(31,34)(32,50)
        (33,42)(36,44)(37,43) ], 
  [ (), ( 1,32)( 2,39)( 4,17)( 5,14)( 6,34)( 7,15)( 9,30)(11,38)(13,35)(16,40)
        (18,44)(19,33)(20,31)(21,23)(22,46)(24,48)(25,28)(26,36)(29,47)(37,49)
        (42,43) ], [ () ], 
  [ (), ( 1,39)( 2,37)( 3,35)( 5,41)( 6,23)( 7,43)( 8,17)( 9,38)(10,26)(11,25)
        (12,34)(13,16)(14,47)(15,48)(18,24)(19,28)(22,31)(29,46)(32,50)(36,49)
        (40,44)(42,45) ], [ () ], [ () ], [ () ], 
  [ (), ( 1,32)( 2,42)( 3,41)( 5,36)( 6,22)( 7,31)( 8,27)( 9,28)(10,44)(12,23)
        (13,20)(15,35)(16,39)(19,46)(21,50)(25,37)(29,34)(30,33)(38,40)(43,48)
        (45,47) ], 
  [ (), ( 2, 6)( 3, 5)( 7, 8)( 9,46)(10,44)(11,12)(13,22)(14,35)(15,34)(16,28)
        (17,47)(18,42)(19,38)(20,37)(21,31)(23,41)(24,33)(25,49)(26,36)(27,39)
        (29,32)(30,48)(40,50)(43,45), ( 1, 4)( 2, 7)( 6, 8)( 9,36)(10,44)
        (13,27)(14,30)(15,50)(16,21)(17,23)(18,32)(19,43)(20,49)(22,39)(24,33)
        (25,37)(26,46)(28,31)(29,42)(34,40)(35,48)(38,45)(41,47) ], 
  [ (), ( 1,41)( 2,13)( 3,43)( 4,30)( 5,15)( 6,37)( 7,19)( 8,33)( 9,17)(10,14)
        (11,46)(12,21)(16,20)(18,26)(24,45)(25,49)(27,29)(28,39)(31,36)(34,35)
        (38,40)(47,48) ], 
  [ (), ( 1,26)( 2,28)( 3,32)( 4,14)( 5,49)( 6,18)( 7,45)( 8,17)( 9,35)(10,37)
        (11,30)(12,47)(13,48)(15,43)(16,36)(19,39)(20,50)(21,44)(22,41)(23,25)
        (24,29)(31,42)(33,40)(38,46) ], 
  [ (), ( 1,48)( 2,21)( 3,20)( 4,12)( 5,15)( 6,28)( 7,37)( 8,18)( 9,34)(10,27)
        (11,42)(13,43)(14,41)(16,19)(17,24)(23,49)(25,39)(26,47)(29,38)(31,45)
        (32,33)(35,46)(36,40), ( 1,49)( 3,22)( 4,32)( 7,17)( 8,38)(10,31)
        (11,39)(12,48)(13,21)(15,16)(18,45)(20,30)(23,33)(25,46)(26,28)(27,29)
        (34,41)(35,40)(36,42) ], 
  [ (), ( 1,31)( 2,13)( 3,42)( 4,46)( 5,12)( 6,10)( 7,14)( 8,40)( 9,29)(17,27)
        (18,44)(20,48)(21,37)(22,39)(23,25)(24,26)(28,36)(30,45)(34,50)(35,43)
        (38,49) ], 
  [ (), ( 1,45)( 2,19,27,10)( 3,44,28,13)( 4, 8,29,39)( 5,12,23,50)
        ( 6,24,33,15)( 7,41,31,21)( 9,43,42,47)(11,25,48,14)(16,36,18,22)
        (17,20,35,26)(30,49)(32,38)(34,37,40,46) ], 
  [ (), ( 1,22)( 2,12)( 3,10)( 4,24)( 6,14)( 7,47)( 8,48)( 9,25)(11,30)(13,33)
        (15,46)(16,19)(18,21)(23,50)(26,41)(27,36)(28,32)(29,49)(31,39)(34,38)
        (42,44)(43,45) ], 
  [ (), ( 2, 5)( 3, 4)( 7, 8)( 9,14)(10,49)(11,36)(12,27)(13,37)(15,41)(16,31)
        (17,40)(18,48)(19,35)(20,43)(21,33)(22,32)(23,29)(24,34)(25,44)(26,50)
        (28,39)(30,38)(42,47)(45,46) ], 
  [ (), ( 2,19)( 3,26)( 4,33)( 5,40)( 6,32)( 7,50)( 8,31)( 9,29)(10,39)(12,49)
        (13,42)(14,47)(15,21)(16,37)(17,44)(18,30)(22,27)(24,46)(25,28)(34,43)
        (36,45)(38,48), ( 1,23)( 2,38)( 3,46)( 4,12)( 5,47)( 6,44)( 7,42)
        ( 9,22)(10,30)(13,50)(14,40)(15,43)(16,45)(17,32)(18,39)(19,48)(21,34)
        (24,26)(25,28)(27,29)(33,49)(36,37) ], 
  [ ( 7,38)( 8,21)( 9,25)(10,39)(11,18)(12,44)(13,40)(14,36)(16,20)(19,23)
        (22,30)(24,41)(28,46)(29,31)(32,50)(33,35)(34,48)(37,45)(42,47), 
      ( 1,41, 6,24)( 2, 3)( 4,12, 5,44)( 7,38,30,22)( 8,48,42,35)( 9,25,18,11)
        (10,39,23,19)(13,50,14,45)(15,26)(16,43,20,49)(17,28,27,46)
        (21,33,47,34)(29,31)(32,40,37,36) ], [ () ], 
  [ (), ( 2, 7)( 3,18)( 4,33)( 5,49)( 6,11)( 8,17)(10,26)(12,44)(14,38)(15,39)
        (20,42)(22,47)(23,30)(25,35)(27,50)(28,37)(34,43)(40,46), 
      ( 1, 6)( 4, 5)( 9,15)(10,34)(11,32)(12,43)(13,47)(14,36)(16,20)(17,37)
        (18,46)(19,22)(21,42)(23,44)(24,41)(25,49)(26,30)(27,35)(29,48)(31,38)
        (33,50)(39,45) ], 
  [ (), ( 1,18)( 2,22)( 4,36)( 5,27)( 6,14)( 7,34)( 8,48)( 9,43)(10,45)(11,46)
        (12,23)(13,32)(16,41)(19,40)(20,30)(24,25)(26,38)(29,31)(35,42)(37,47)
        (39,50), ( 1,31)( 2,22)( 3,21)( 4, 9)( 5,24)( 6,38)( 7,35)( 8,12)
        (11,46)(13,47)(14,26)(15,28)(16,39)(17,44)(18,29)(20,30)(23,48)(25,27)
        (32,37)(33,49)(34,42)(36,43)(41,50) ], 
  [ ( 9,28)(10,34)(11,37)(12,13)(14,50)(15,33)(16,17)(18,39)(19,41)(20,42)
        (21,23)(22,36)(24,27)(25,45)(26,31)(29,48)(30,44)(32,35)(38,40)(43,49)
        (46,47), ( 9,29,10,33)(11,46,16,25)(12,38,21,49)(13,43,23,40)
        (15,34,48,28)(17,47,37,45)(22,30,32,24)(27,35,44,36), 
      ( 1,34, 6, 9)( 2,28, 7,10)( 3,48, 5,33)( 4,29, 8,15)(11,19,25,31)
        (12,24,44,23)(13,43,30,22)(14,46,39,16)(17,26,47,41)(18,45,50,37)
        (20,42)(21,35,27,38)(32,49,40,36) ], [ () ], [ () ], 
  [ (), ( 2,37)( 3,13)( 4,40)( 6,46)( 7, 9)( 8,12)(10,32)(11,30)(14,28)(15,35)
        (16,33)(17,18)(19,39)(20,24)(21,29)(23,38)(25,45)(27,31)(34,42)(36,48)
        (43,49)(44,47), ( 1,22)( 2,36)( 3,40)( 4,13)( 6,11)( 7,31)( 8,25)
        ( 9,27)(10,34)(12,45)(14,43)(15,38)(16,21)(17,18)(19,20)(23,35)(24,39)
        (26,41)(28,49)(29,33)(30,46)(32,42)(37,48)(44,47) ], 
  [ (), ( 2, 4)( 3,10)( 6,45)( 7,16)( 9,41)(11,48)(12,42)(13,21)(14,33)(15,27)
        (17,25)(18,37)(20,31)(22,50)(24,38)(26,49)(28,47)(29,32)(30,44)(43,46)
        , ( 1, 2)( 3,16)( 6,10)( 7,45)( 9,11)(12,48)(13,19)(15,44)(17,18)
        (20,34)(22,25)(23,46)(26,39)(27,32)(28,36)(29,30)(33,40)(35,38)(37,50)
        (41,42) ], [ () ], [ () ], [ () ], 
  [ (), ( 1,22)( 2,16)( 3,20)( 4,42)( 5,25)( 7,26)( 8,31)( 9,18)(10,35)(11,30)
        (12,17)(13,37)(14,29)(15,28)(19,21)(24,44)(32,33)(34,43)(40,46)
        (41,45) ], 
  [ (), ( 1,35)( 2,13)( 3,31)( 4,41)( 5,39)( 6,12)( 7,48)( 8,45)( 9,24)(11,33)
        (14,25)(17,32)(18,37)(19,36)(20,50)(21,26)(22,27)(28,47)(30,46)
        (34,44) ], 
  [ (), ( 7,27)( 8,31)( 9,40)(10,34)(13,21)(14,37)(15,47)(16,28)(17,38)(18,35)
        (20,43)(22,45)(23,44)(24,48)(26,30)(32,49)(36,42), 
      ( 1, 4)( 2, 5)( 3, 6)( 9,18)(10,48)(11,41)(12,19)(13,32)(14,42)(15,17)
        (20,30)(21,49)(23,44)(24,34)(25,33)(26,43)(35,40)(36,37)(38,47)(39,46)
        , ( 1,19)( 2,11)( 3,33)( 4,12)( 5,41)( 6,25)( 7,27)( 8,16)(10,42)
        (13,30)(14,48)(15,38)(17,47)(20,32)(21,26)(22,45)(24,37)(28,31)(34,36)
        (43,49) ], [ () ], [ () ], [ () ], 
  [ ( 2, 5)( 3,41)( 4,19)( 7,28)( 9,17)(10,26)(11,25)(12,46)(13,39)(14,29)
        (15,49)(16,31)(22,23)(30,38)(32,37)(33,36)(35,43)(40,45)(44,48)(47,50)
        , ( 1,18)( 3,13)( 4,17)( 6,24)( 7,32)( 9,19)(10,29)(11,40)(12,30)
        (14,26)(15,35)(16,23)(20,21)(22,31)(25,45)(28,37)(34,42)(38,46)(39,41)
        (43,49) ], [ () ], 
  [ (), ( 1,27)( 3,33)( 4,36)( 5,49)( 6,28)( 7,34)( 8,44)( 9,42)(10,32)(11,14)
        (12,40)(13,41)(15,31)(16,46)(17,43)(18,50)(19,47)(21,29)(22,37)(23,39)
        (24,25)(26,35)(38,45) ], 
  [ (), ( 1,47)( 2,19)( 3,30)( 4,24)( 5, 9)( 6,29)( 7,23)( 8,13)(11,36)(12,25)
        (15,17)(16,21)(20,26)(27,32)(28,37)(31,39)(34,41)(35,43)(44,45)(46,48)
        (49,50) ], 
  [ (), ( 1,23)( 2,14)( 3,34)( 4,48)( 5,12)( 6,43)( 7,30)( 9,33)(10,49)(11,39)
        (13,35)(15,32)(16,20)(17,36)(18,40)(19,21)(24,29)(25,26)(27,28)(31,47)
        (37,38)(42,46) ], [ () ], [ () ], 
  [ ( 1,37)( 2,44)( 3,33)( 4, 7)( 6,31)( 8,11)(10,43)(15,19)(16,30)(17,22)
        (18,29)(20,50)(21,24)(23,46)(25,48)(26,36)(27,35)(28,45)(34,47)(38,41)
        (39,49)(40,42) ], 
  [ (), ( 1,30)( 3,20)( 4,14)( 6,13)( 7,23)( 8,33)( 9,39)(10,34)(11,22)(15,41)
        (16,19)(17,40)(18,43)(21,25)(27,50)(29,49)(31,36)(35,48)(37,44)
        (38,47) ], 
  [ (), ( 1,34)( 2,42)( 3,39)( 4,45)( 5,23)( 6,27)( 8,47)( 9,41)(10,26)(11,40)
        (12,37)(13,29)(14,44)(15,31)(16,25)(17,33)(18,50)(19,35)(20,32)(21,43)
        (22,30)(24,38)(28,48)(36,46) ], 
  [ ( 1,43)( 2,40)( 4,11)( 5,31)( 6,44)( 7,33)( 8,39)( 9,14)(10,20)(12,29)
        (15,42)(17,45)(18,22)(19,48)(21,36)(23,46)(24,49)(26,38)(27,41)(32,37)
        (35,47) ], 
  [ ( 1,34)( 2, 3)( 5,26)( 6,41)( 7,28)( 8,37)( 9,10)(11,25)(13,27)(14,30)
        (15,19)(16,35)(17,39)(20,48)(22,46)(24,33)(29,43)(31,47)(42,49), 
      ( 1,39)( 2,24)( 3,33)( 4,40)( 6, 8)( 7,29)( 9,31)(10,47)(12,44)(13,20)
        (14,16)(15,22)(17,34)(18,21)(19,46)(23,36)(27,48)(28,43)(30,35)(37,41)
        (38,45) ], [ () ], [ () ], 
  [ (), ( 1,38)( 2,21)( 3,11)( 4,28)( 6,39)( 7,33)( 8, 9)(12,31)(13,26)(15,40)
        (16,29)(18,35)(19,42)(20,30)(22,48)(23,41)(24,32)(25,36)(27,47)(34,45)
        (43,44) ], [ () ], 
  [ (), ( 1,47)( 2,49)( 3,48)( 4,43)( 5,50)( 6,44)( 7,31)( 8,34)( 9,27)(10,36)
        (11,37)(12,41)(13,15)(14,30)(16,18)(17,45)(20,28)(21,24)(23,42)(25,32)
        (26,39)(33,46)(35,40) ], 
  [ (), ( 1, 3)( 2, 4)( 5, 6)( 9,24)(10,41)(11,34)(12,21)(13,28)(14,50)(15,43)
        (16,44)(17,35)(18,20)(19,49)(22,48)(23,29)(25,42)(26,45)(27,30)(31,36)
        (32,47)(33,39)(37,38)(40,46), ( 1,25,35,20)( 2,14,28,23)( 3,50,40,11)
        ( 4,45,12,33)( 5,42,27,10)( 6,26,32,24)( 7, 8)( 9,46,39,17)
        (13,18,21,41)(15,22,36,48)(16,49,43,19)(29,30,34,47)(31,38,44,37), 
      ( 1,46,27, 4,13,32)( 2,30,40, 3,47,28)( 5,17,35, 6,21,12)
        ( 9,45,11,41,25,23)(10,34,26,24,29,42)(14,20,18,50,33,39)(15,43)
        (16,36)(19,49,37,22,48,38)(31,44) ], 
  [ (), ( 3,50)( 4,29)( 5,24)( 6,22)( 7,10)( 8,44)(11,42)(13,15)(16,47)(17,30)
        (18,33)(20,48)(21,36)(26,39)(28,43)(32,40)(35,41), 
      ( 2,25)( 3,18)( 4,32)( 5, 7)( 6,39)( 9,31)(10,24)(11,48)(12,34)(13,17)
        (14,23)(15,30)(16,36)(20,42)(21,47)(22,26)(28,43)(29,40)(33,50)(35,41)
        (38,49)(45,46), ( 1,27)( 2, 9)( 3,11)( 4,21)( 5, 7)( 6,26)(10,24)
        (13,30)(14,49)(15,17)(16,40)(18,48)(19,37)(20,33)(22,39)(23,38)(25,31)
        (28,43)(29,36)(32,47)(35,41)(42,50), 
      ( 1,49,12,14,27,23,34,38)( 2,46, 9,19,31,45,25,37)( 3,18, 4,21,48,11,47,
         32)( 5,10)( 6,15,17,26,22,13,30,39)( 7,24)(16,40,50,33,29,36,20,42)
        (28,35)(41,43) ], 
  [ (), ( 2,33)( 4,16)( 5,11)( 6,19)( 7,44)(12,22)(13,24)(15,35)(17,29)(18,31)
        (21,50)(23,28)(25,41)(26,43)(27,36)(30,37)(32,42)(34,48)(39,49)(45,46)
        , ( 1,10)( 2,17)( 4,32)( 6,26)( 7,44)( 9,20)(12,39)(13,24)(15,31)
        (16,42)(18,35)(19,43)(22,49)(23,34)(25,46)(27,37)(28,48)(29,33)(30,36)
        (38,47)(41,45) ], 
  [ (), ( 2,10)( 3,12)( 4,38)( 5,30)( 6,34)( 7,32)( 8,26)( 9,37)(13,44)(14,24)
        (15,21)(16,42)(17,29)(18,46)(19,27)(25,41)(31,43)(33,48)(35,47)(39,50)
        (40,49) ], 
  [ (), ( 2, 6)( 3, 5)( 9,41)(10,43)(11,19)(12,18)(13,15)(14,16)(17,20)(21,40)
        (23,49)(24,37)(25,34)(26,42)(27,28)(29,50)(31,32)(35,46)(38,47)(39,48)
        (44,45), ( 1,22)( 2,14)( 3,28)( 4,33)( 5,27)( 6,16)( 9,41)(10,43)
        (11,21)(12,20)(13,45)(15,44)(17,18)(19,40)(23,50)(24,42)(25,46)(26,37)
        (29,49)(34,35)(38,39)(47,48), ( 1,24, 4,26)( 2,50, 5,20)( 3,49, 6,18)
        ( 7,32, 8,31)( 9,15,43,13)(10,45,41,44)(11,47)(12,14,23,27)
        (16,17,28,29)(19,39)(21,48)(22,42,33,37)(30,36)(34,35)(38,40), 
      ( 1,33)( 2,27)( 3,16)( 4,22)( 5,14)( 6,28)( 7, 8)( 9,10)(11,21)(12,50)
        (13,44)(15,45)(17,49)(18,29)(19,40)(20,23)(24,37)(25,46)(26,42)(31,32)
        (34,35)(38,39)(41,43)(47,48) ], 
  [ (), ( 1,24)( 2,40)( 4,48)( 6,25)( 7,38)( 8,10)( 9,39)(11,46)(12,30)(13,36)
        (14,15)(16,26)(17,29)(18,44)(19,42)(20,34)(28,50)(32,43)(33,49)(35,37)
        (41,45), ( 1,36)( 3,21)( 5,27)( 7,28)( 8,15)(10,14)(11,29)(12,45)
        (13,24)(16,26)(17,46)(18,35)(20,49)(23,31)(30,41)(32,43)(33,34)(37,44)
        (38,50) ], 
  [ (), ( 2,36)( 3, 7)( 4,44)( 5,15)( 6,29)( 8,24)( 9,43)(10,22)(11,37)(12,38)
        (13,35)(14,45)(16,26)(17,31)(19,40)(20,39)(21,48)(28,46)(33,41)(42,47)
        , ( 1,50)( 2, 5)( 3,33)( 4,14)( 6, 9)( 7,41)( 8,22)(10,24)(11,47)
        (12,48)(13,16)(15,36)(17,19)(18,34)(20,46)(21,38)(23,32)(26,35)(27,30)
        (28,39)(29,43)(31,40)(37,42)(44,45) ], 
  [ (), ( 1,40)( 2,31)( 3,32)( 4,27)( 5,35)( 6,48)( 7,21)( 8,36)( 9,23)(10,13)
        (11,45)(12,24)(14,50)(16,46)(17,30)(18,25)(19,44)(20,33)(22,28)(26,49)
        (29,47)(34,37)(38,42)(39,41) ], 
  [ ( 7,39)( 8,21)( 9,46)(10,28)(11,38)(12,42)(13,29)(14,16)(15,43)(18,25)
        (19,45)(22,36)(30,47)(31,48)(33,50)(34,41)(35,49)(37,40), 
      ( 1, 4)( 2, 5)( 3, 6)( 7,21)( 8,39)( 9,16)(11,19)(12,42)(13,35)(14,46)
        (15,37)(18,48)(20,26)(22,47)(23,27)(25,31)(29,49)(30,36)(32,44)(33,34)
        (38,45)(40,43)(41,50) ], 
  [ (), ( 2,20)( 3,23)( 4, 6)( 5,29)( 7,27)( 8,19)( 9,18)(10,41)(12,17)(14,42)
        (16,35)(21,44)(22,32)(24,38)(25,46)(26,43)(30,31)(33,47)(34,39)(36,48)
        (45,50), ( 1,48, 2,49,20,36)( 3,41, 4,42,25,12)( 5,26,50,44,32,35)
        ( 6,10,23,17,46,14)( 7,27,30,38,24,31)( 8,19)( 9,18)(11,28)(13,39,34)
        (15,40)(16,22,21,45,43,29)(33,37,47) ], 
  [ (), ( 2,29)( 3,15)( 4,50)( 5,36)( 6,27)( 7,22)(10,47)(11,26)(12,16)(14,37)
        (17,30)(18,42)(19,44)(20,31)(21,49)(23,33)(25,38)(32,34)(35,43)(39,48)
        (40,46)(41,45), ( 2,36,41)( 3,50,26)( 4,15,11)( 5,29,45)( 6,43,30)
        ( 7, 8,22)( 9,25,38)(10,39,23)(12,18,49)(13,32,34)(14,46,19)(16,21,42)
        (17,35,27)(20,28,31)(33,48,47)(37,44,40) ], [ () ], 
  [ ( 1, 2, 6)( 3, 5, 4)( 7,22,10)( 8,39,19)(11,16,37)(12,29,31)(13,41,40)
        (14,17,33)(15,18,21)(20,49,45)(23,43,46)(25,48,35)(26,50,32)(27,34,47)
        (28,38,44)(30,42,36), ( 1,38)( 2,36)( 3, 6)( 4,45)( 5,17)( 7,19)
        ( 8,20)( 9,13)(10,28)(11,47)(14,39)(15,16)(18,25)(22,30)(23,26)(24,31)
        (32,43)(33,42)(34,48)(35,37)(44,49) ], 
  [ (), ( 1,31)( 2,19)( 3,10)( 4,11)( 5, 7)( 6,18)( 8,47)( 9,16)(12,41)(13,35)
        (14,30)(15,37)(17,38)(20,29)(21,42)(22,34)(23,40)(24,45)(25,46)(27,43)
        (28,39)(32,33)(36,44)(48,50) ], 
  [ (), ( 1,34)( 2, 3)( 4,43)( 5,37)( 6,44)( 7,38)( 8,48)(10,27)(11,25)(12,19)
        (13,42)(14,17)(15,21)(16,50)(18,47)(23,45)(24,39)(26,41)(28,40)(29,49)
        (30,36)(31,32)(33,35) ], 
  [ (), ( 1,27)( 2,23)( 3,21)( 5,35)( 6,20)( 7,25)( 9,16)(10,19)(12,40)(13,41)
        (14,17)(18,26)(22,30)(28,33)(29,36)(31,32)(34,48)(37,43)(38,42)(44,50)
        (45,47)(46,49), ( 1,48)( 2,38)( 3,41)( 4, 8)( 5,33)( 6,40)( 7,17)
        ( 9,37)(10,19)(12,20)(13,21)(14,25)(16,43)(22,36)(23,42)(27,34)(28,35)
        (29,30)(44,49)(45,47)(46,50) ], [ () ], 
  [ ( 1,30)( 2,13)( 3,33)( 4,37)( 5,23)( 6,16)( 7,50)( 8,43)( 9,19)(10,38)
        (11,20)(12,34)(15,29)(17,46)(18,25)(22,32)(24,45)(26,48)(27,42)(28,39)
        (31,44)(35,36)(40,47)(41,49), ( 1,37)( 2,23)( 3,16)( 4,30)( 5,13)
        ( 6,33)( 7,43)( 8,50)( 9,19)(10,38)(11,49)(12,32)(14,21)(15,31)(17,35)
        (18,26)(20,41)(22,34)(24,45)(25,48)(27,42)(28,40)(29,44)(36,46)
        (39,47) ], [ () ], 
  [ (), ( 2,10)( 3,24)( 4,23)( 5,50)( 6,22)( 7,44)( 8,39)( 9,31)(11,40)(12,36)
        (13,32)(14,47)(15,49)(18,46)(27,43)(28,45)(29,42)(30,41)(34,38)
        (35,48) ], 
  [ (), ( 1, 8)( 3,26)( 4,46)( 5,11)( 6, 9)( 7,24)(10,40)(12,29)(13,45)(14,28)
        (15,31)(16,42)(17,19)(18,49)(20,25)(21,48)(22,38)(23,27)(30,41)(33,36)
        (34,37)(39,43)(44,50), ( 1, 9)( 3,26)( 4,11)( 5,46)( 6, 8)( 7,42)
        (10,50)(12,29)(13,17)(14,34)(15,30)(16,24)(18,43)(19,45)(22,38)(23,36)
        (27,33)(28,37)(31,41)(32,47)(39,49)(40,44) ], [ () ], 
  [ (), ( 1,26)( 2,37)( 3,16)( 4,10)( 5,40)( 6,33)( 7,42)( 8,43)( 9,17)(11,22)
        (12,21)(13,39)(14,41)(15,28)(18,45)(19,48)(20,25)(23,47)(24,38)(27,29)
        (30,46)(34,35)(36,49)(44,50), ( 1,35)( 2,36)( 3,43)( 4,13)( 8,39)
        ( 9,23)(10,16)(11,27)(12,47)(14,33)(15,32)(17,46)(18,38)(19,44)(20,42)
        (21,30)(22,29)(24,48)(26,37)(28,31)(34,49)(45,50) ], [ () ], [ () ], 
  [ () ], 
  [ (), ( 1,12,29,15)( 2,46, 8,10)( 3,34,38, 6)( 4,39,35, 7)( 5,47,20,49)
        ( 9,42,48,43)(11,36,14,22)(13,50)(16,41,18,45)(17,25,37,23)
        (19,24,30,27)(21,28,32,26)(31,40)(33,44), 
      ( 1,27,11)( 2,40,41)( 3,38,34)( 4, 7,35)( 5,26,14)( 8,33,45)( 9,19,15)
        (10,18,31)(12,22,32)(13,17,23)(16,44,46)(20,24,43)(21,49,48)(25,50,37)
        (28,42,29)(30,47,36), ( 1,29)( 2, 8)( 3,38)( 4,35)( 5,20)( 6,34)
        ( 7,39)( 9,48)(10,46)(11,14)(12,15)(16,18)(17,37)(19,30)(21,32)(22,36)
        (23,25)(24,27)(26,28)(41,45)(42,43)(47,49), 
      ( 1,42,24)( 2,45,40)( 4, 7,39)( 5,43,28)( 6,38,34)( 8,41,33)( 9,49,30)
        (10,44,16)(11,26,29)(12,19,36)(13,23,37)(14,27,20)(15,32,48)(17,50,25)
        (18,46,31)(21,22,47) ], 
  [ (), ( 1, 9)( 2,24)( 3,44)( 4,31)( 5,27)( 6, 7)( 8,34)(10,45)(11,39)(12,30)
        (13,50)(14,22)(15,36)(16,28)(17,38)(18,19)(20,29)(21,43)(23,37)(25,41)
        (32,33)(35,47)(40,49)(42,46), ( 1,15,23, 3,25,12)( 2,18, 5, 8,16, 4)
        ( 9,36,37,44,41,30)(10,49,17,22,32,42)(11,21,47,39,43,35)(13,29)
        (14,33,46,45,40,38)(19,27,34,28,31,24)(20,50)(26,48), 
      ( 1,16)( 2,23)( 3,28)( 4,41)( 5,25)( 6,26)( 7,48)( 8,37)( 9,18)(11,39)
        (12,24)(13,20)(15,27)(19,44)(21,43)(22,45)(30,34)(31,36)(33,49)(35,47)
        (38,42), ( 1,18,44,28)( 2,12,34,37)( 3,19, 9,16)( 4,36,27,25)
        ( 5,15,31,41)( 6,48, 7,26)( 8,30,24,23)(10,22,14,45)(13,50,20,29)
        (17,42,46,38)(32,49,40,33), ( 1,30)( 2,19)( 3,37)( 4,27)( 5,31)( 6, 7)
        ( 8,28)( 9,12)(10,32)(11,21)(14,40)(15,41)(16,34)(18,24)(22,49)(23,44)
        (25,36)(26,48)(33,45)(35,47)(39,43) ], 
  [ (), ( 1,45)( 2,33)( 3,37)( 4, 5)( 6,11)( 8,30)( 9,26)(10,46)(12,20)(13,29)
        (14,40)(15,39)(16,32)(17,43)(18,34)(19,28)(21,27)(22,47)(24,42)(31,35)
        (36,41)(38,44) ], 
  [ ( 6,22,12,46)( 7,38, 8,48)(10,11,20,25)(13,47,33,34)(14,32,19,15)
        (16,49,44,35)(23,41,42,24)(27,30,39,50)(28,40,43,31), 
      ( 1,26)( 2,18)( 5,17)( 6, 8)( 7,12)( 9,21)(10,31)(11,43)(13,16)(15,32)
        (20,40)(22,38)(24,41)(25,28)(30,50)(33,44)(34,49)(35,47)(36,37)
        (46,48) ], 
  [ (), ( 1,47)( 3,30)( 4,22)( 5,33)( 6,37)( 8,11)(10,27)(12,40)(13,25)(14,49)
        (16,45)(17,28)(18,20)(19,26)(21,35)(23,34)(29,44)(31,50)(32,41)(36,43)
        (38,39) ], 
  [ (), ( 1,28)( 2,10)( 3,45)( 4,47)( 5,24)( 6,29)( 7,14)( 8,26)( 9,32)(12,46)
        (13,34)(15,18)(16,23)(17,33)(19,38)(21,35)(22,43)(25,39)(27,31)(30,41)
        (36,37)(40,44)(42,49)(48,50) ], 
  [ (), ( 1,34)( 2,26)( 3,50)( 4, 7)( 5,20)( 6,21)( 8,18)( 9,35)(10,24)(12,17)
        (13,15)(14,23)(16,49)(19,47)(22,46)(25,43)(27,31)(29,45)(30,40)(32,33)
        (36,44)(37,38)(39,42)(41,48) ], 
  [ ( 7, 8)( 9,43)(10,27)(11,33)(12,45)(14,47)(15,17)(16,31)(18,38)(19,32)
        (20,24)(22,34)(23,39)(25,35)(26,48)(28,50)(29,36)(30,42)(37,41)(44,46)
        , ( 7,10, 9,32)( 8,19,43,27)(11,33,50,28)(13,23,49,39)(15,44,20,37)
        (16,31,48,26)(17,41,24,46)(21,35,40,25)(22,30,42,34), 
      ( 7,43)( 8, 9)(10,19)(11,28)(12,45)(13,49)(14,47)(15,24)(16,26)(17,20)
        (18,38)(21,40)(22,30)(27,32)(29,36)(31,48)(33,50)(34,42)(37,46)(41,44)
        , ( 1, 4)( 2, 3)( 5, 6)(11,16)(12,45)(13,21)(14,47)(15,46)(17,44)
        (18,29)(20,41)(22,42)(23,35)(24,37)(25,39)(26,28)(30,34)(31,33)(36,38)
        (40,49)(48,50) ], [ () ], [ () ], 
  [ (), ( 1,33)( 2,27)( 3, 7)( 5,36)( 6,14)( 8,16)( 9,49)(10,39)(11,20)(12,46)
        (13,18)(21,40)(22,48)(24,31)(25,38)(26,47)(28,41)(32,45)(42,44)
        (43,50) ], [ () ], [ () ], [ () ], [ () ], [ () ], 
  [ (), ( 1,30)( 2,45)( 3,19)( 4,24)( 5,20)( 6,40)( 7,10)( 8,31)( 9,48)(12,16)
        (13,44)(14,43)(15,41)(17,46)(18,28)(21,33)(22,38)(23,26)(25,49)(27,50)
        (29,35)(32,37)(34,42) ], 
  [ (), ( 1,10, 3, 8)( 2,35, 4,26)( 5,23, 6,13)( 7,33)( 9,29)(11,21,37,41)
        (12,31,45,43)(14,44,24,19)(15,42)(16,39)(17,50,48,32)(18,34,38,40)
        (20,25,49,30)(22,36,46,47)(27,28) ], 
  [ ( 7, 8)( 9,48)(10,29)(11,33)(12,36)(14,37)(15,45)(16,18)(17,31)(19,26)
        (21,50)(23,49)(24,28)(32,44)(35,41)(39,42), 
      ( 7,15, 8,45)( 9,29,48,10)(11,26,33,19)(12,17,36,31)(14,24,37,28)
        (16,39,18,42)(21,23,50,49)(32,41,44,35), 
      ( 1, 4)( 2, 5)( 3, 6)( 7,15)( 8,45)( 9,36)(10,31)(11,28)(12,48)(13,20)
        (14,19)(16,42)(17,29)(18,39)(21,35)(23,44)(24,33)(26,37)(30,46)(32,49)
        (34,43)(40,47)(41,50) ], 
  [ ( 7,10)( 8, 9)(11,27)(12,48)(14,38)(16,25)(19,24)(20,43)(21,46)(22,44)
        (23,39)(26,37)(29,33)(32,49)(34,50)(35,40), 
      ( 7,38)( 8,21)( 9,46)(10,14)(11,50)(13,45)(15,47)(16,49)(17,41)(18,42)
        (19,40)(20,37)(22,44)(23,33)(24,35)(25,32)(26,43)(27,34)(28,36)(29,39)
        (30,31), ( 2, 6)( 3, 5)( 7, 8)( 9,10)(11,49)(12,48)(13,47)(14,46)
        (15,45)(16,50)(17,42)(18,41)(19,40)(20,39)(21,38)(22,44)(23,43)(24,35)
        (25,34)(26,33)(27,32)(28,31)(29,37)(30,36), 
      ( 1, 4)( 2, 3)( 5, 6)(11,50)(12,48)(13,45)(15,47)(16,49)(17,31)(18,36)
        (19,40)(20,23)(22,44)(24,35)(25,32)(26,29)(27,34)(28,42)(30,41)(33,37)
        (39,43), ( 1,22)( 2,35, 6,19)( 3,40, 5,24)( 4,44)( 7,37, 9,33)
        ( 8,20,10,23)(11,30,32,36)(12,48)(13,45,47,15)(14,39,21,43)
        (16,31,34,28)(17,49,42,27)(18,25,41,50)(26,46,29,38) ], [ () ], 
  [ (), ( 1,34)( 2,48)( 3,43)( 5,19)( 7,18)( 8,47)(10,27)(11,21)(12,32)(13,40)
        (14,17)(15,35)(16,38)(20,49)(22,44)(23,29)(24,37)(25,46)(26,42)(28,50)
        (31,45) ], [ () ], [ () ], [ () ], 
  [ (), ( 1,15)( 3,16)( 4,38)( 5,24)( 6,29)( 7,41)(10,42)(11,17)(12,18)(13,36)
        (14,30)(19,34)(21,31)(22,50)(23,49)(25,26)(27,40)(32,47)(33,39)(37,43)
        (44,48), ( 1,41)( 2,45)( 3,12)( 4,40)( 5,39)( 6,43)( 7,15)(10,14)
        (11,19)(16,18)(17,34)(21,23)(22,47)(24,33)(25,26)(27,38)(28,35)(29,37)
        (30,42)(31,49)(32,50) ], 
  [ (), ( 9,45,31,50)(10,11,42,32)(12,44,21,37)(13,27,15,46)(14,39,41,16)
        (19,25,29,23)(22,24,30,28)(33,47,48,34), 
      ( 9,50,31,45)(10,32,42,11)(12,37,21,44)(13,46,15,27)(14,16,41,39)
        (19,23,29,25)(22,28,30,24)(33,34,48,47), 
      ( 1, 4)( 2, 7)( 6, 8)( 9,39,50,14,31,16,45,41)(10,30,32,24,42,22,11,28)
        (12,48,37,47,21,33,44,34)(13,29,46,25,15,19,27,23)(17,38)(18,40)
        (20,49)(26,43)(35,36), ( 1, 8)( 3, 5)( 4, 6)( 9,39)(10,30)(11,24)
        (12,19)(13,33)(14,45)(15,48)(16,31)(17,38)(18,36)(20,49)(21,29)(22,42)
        (23,44)(25,37)(27,34)(28,32)(35,40)(41,50)(46,47) ], [ () ], [ () ], 
  [ (), ( 1, 6)( 2, 3)( 4, 7)( 5, 8)( 9,50)(11,47)(12,32)(13,46)(14,41)(15,43)
        (16,18)(19,42)(20,27)(21,39)(22,36)(23,26)(24,44)(25,30)(28,33)(31,45)
        (34,37)(35,48)(40,49), ( 1,21)( 2, 3)( 4,30)( 5,44)( 6,39)( 7,25)
        ( 8,24)(10,17)(11,34)(12,26)(14,33)(15,43)(16,31)(18,45)(19,40)(20,48)
        (22,36)(23,32)(27,35)(28,41)(37,47)(42,49) ], 
  [ (), ( 1,38)( 2,27)( 4, 8)( 5,15)( 6,28)( 7,49)( 9,30)(11,50)(12,41)(13,22)
        (14,19)(16,33)(17,26)(18,45)(20,23)(21,36)(31,34)(35,39)(37,42)(40,46)
        (44,47) ], [ () ], 
  [ (), ( 1,12)( 2,37)( 3,41)( 4,10)( 5,13)( 6,14)( 8,49)(11,48)(15,20)(16,46)
        (18,33)(21,32)(22,44)(23,50)(24,31)(25,47)(27,28)(29,39)(30,38)(34,45)
        (35,43)(36,42) ], [ () ], 
  [ (), ( 1, 5,28,50)( 2,44,39,14)( 3, 6,49,23)( 4,13,26,41)( 7,22,25,27)
        ( 8,43,24,35)( 9,11,10,33)(12,34)(15,48)(16,20,38,42)(17,18,21,40)
        (19,29,47,30)(31,32,45,46)(36,37) ], 
  [ (), ( 1, 3)( 2, 4)( 5, 6)( 7,41)( 8, 9)(10,46)(11,45)(12,40)(13,21)(15,38)
        (16,24)(17,25)(18,49)(19,30)(20,27)(22,32)(26,48)(28,33)(34,47)(35,42)
        (43,44), ( 1,27, 2,35)( 3,42, 4,20)( 5, 6)( 7,23,41,29)( 8,36, 9,50)
        (10,14,46,37)(11,34,47,45)(12,32,28,18)(13,21)(15,44)(16,26,48,24)
        (17,19,30,25)(22,40,49,33)(31,39)(38,43) ], 
  [ (), ( 1, 9)( 2,30)( 3,36)( 4,15)( 5,27)( 6,47)( 7,42)( 8,49)(10,50)(11,32)
        (12,44)(13,14)(16,39)(17,25)(18,45)(19,37)(20,21)(22,35)(23,40)(24,28)
        (26,34)(29,46)(31,43)(38,48), ( 1,13)( 2,31)( 3,39)( 5,42)( 6,50)
        ( 7,27)( 8,34)( 9,14)(10,47)(11,38)(12,20)(16,36)(17,29)(18,23)(19,24)
        (21,44)(22,35)(25,46)(26,49)(28,37)(30,43)(32,48)(40,45) ], 
  [ (), ( 2,50)( 3,27)( 5,30)( 6,14)( 7,40)( 8,17)(10,42)(11,19)(12,45)(13,29)
        (15,32)(16,24)(18,34)(20,37)(22,47)(23,39)(25,49)(28,36)(33,41)(35,44)
        (38,46) ], [ () ], 
  [ (), ( 1, 4)( 2, 5)( 3, 6)( 7,20)( 8,40)( 9,35)(10,42)(11,31)(12,44)(13,27)
        (14,23)(15,43)(16,25)(17,28)(18,49)(19,36)(21,30)(22,41)(24,45)(26,34)
        (29,37)(33,48)(38,47)(39,50), ( 1,24)( 2,39)( 4,45)( 5,50)( 7,40)
        ( 8,20)( 9,33)(10,42)(11,16)(12,49)(14,19)(15,26)(17,28)(18,44)(21,41)
        (22,30)(23,36)(25,31)(29,37)(32,46)(34,43)(35,48)(38,47) ], [ () ], 
  [ () ], 
  [ (), ( 1,11)( 3,19)( 4,15)( 5,10)( 6,18)( 7, 9)( 8,47)(12,50)(13,49)(16,30)
        (17,39)(20,24)(22,28)(23,29)(25,42)(27,35)(31,45)(32,36)(33,40)(37,48)
        (38,41)(43,44) ], 
  [ (), ( 2,30)( 3,26)( 4,22)( 5,11)( 6,24)( 8,45)( 9,44)(10,48)(12,19)(13,18)
        (14,38)(16,20)(17,41)(21,37)(23,36)(25,43)(27,35)(28,49)(29,34)(31,33)
        (32,42)(39,50)(46,47) ], 
  [ (), ( 2,39)( 3, 6)( 4,26)( 5,27)( 7,32)( 8,19)( 9,31)(10,22)(11,49)(12,28)
        (13,24)(15,21)(16,30)(20,50)(23,41)(33,36)(35,43)(38,46)(40,44)(42,45)
        , ( 1,34)( 3,44)( 4, 7)( 5,43)( 6,40)( 8,49)( 9,12)(10,46)(11,19)
        (13,24)(14,25)(16,45)(17,29)(20,36)(22,38)(23,41)(26,32)(27,35)(28,31)
        (30,42)(33,50)(37,47) ], 
  [ (), ( 1,17)( 2,37)( 4, 7)( 5,23)( 6,24)( 8,31)( 9,26)(11,36)(13,29)(14,32)
        (15,47)(16,18)(19,45)(20,34)(21,38)(22,25)(27,40)(30,43)(33,39)(35,50)
        (41,49)(42,48)(44,46), ( 1,25)( 4,35)( 5,14)( 6,15)( 7,50)( 8,39)
        ( 9,41)(10,12)(11,42)(13,29)(16,34)(17,22)(18,20)(19,30)(21,38)(23,32)
        (24,47)(26,49)(27,46)(31,33)(36,48)(40,44)(43,45), 
      ( 1,46)( 4, 7)( 5,30)( 6,31)( 8,24)( 9,18)(11,42)(13,38)(14,19)(15,33)
        (16,26)(17,44)(20,41)(21,29)(22,40)(23,43)(25,27)(32,45)(34,49)(35,50)
        (36,48)(39,47) ], 
  [ (), ( 1,17)( 2,28)( 3,11)( 4, 5)( 6,35)( 7,30)( 8,38)( 9,19)(10,18)(12,31)
        (14,20)(15,46)(16,42)(22,40)(23,49)(25,29)(26,37)(27,39)(34,41) ], 
  [ (), ( 2,17)( 3,11)( 5,35)( 6,46)( 7,27)( 8,42)( 9,24)(10,48)(12,40)(13,22)
        (14,28)(15,39)(16,21)(18,49)(19,34)(25,50)(26,30)(29,32)(31,47)
        (36,45) ], [ () ], [ () ], [ () ], [ () ], 
  [ (), ( 1, 2)( 3, 4)( 6, 7)( 9,43)(10,18)(11,47)(13,16)(14,46)(17,30)(19,48)
        (20,50)(21,33)(22,40)(23,29)(25,41)(26,28)(27,39)(31,32)(34,37)(35,36)
        (38,44) ], 
  [ (), ( 1,27)( 2,23)( 3,32)( 4,19)( 5,10)( 6,48)( 7,47)( 8,42)( 9,36)(11,40)
        (12,16)(13,24)(14,45)(15,35)(17,50)(18,38)(21,29)(22,37)(26,28)(30,44)
        (31,49)(33,39)(34,43), ( 1,33)( 2,30)( 3,24)( 4,21)( 5, 6)( 7,34)
        ( 8,17)( 9,49)(10,48)(11,35)(12,26)(13,32)(14,38)(15,40)(16,28)(18,45)
        (19,29)(20,46)(22,37)(23,44)(27,39)(31,36)(42,50)(43,47) ], 
  [ (), ( 3,48)( 5,26)( 6,50)( 7,38)( 8,34)( 9,23)(10,40)(11,16)(12,33)(13,17)
        (14,39)(15,27)(18,35)(20,36)(22,43)(25,32)(30,46)(31,42)(45,49), 
      ( 1,24)( 2,41)( 3,10)( 4,44)( 5,23)( 6,39)( 7,49)( 8,15)( 9,26)(11,46)
        (12,33)(13,42)(14,50)(16,30)(17,31)(18,20)(21,47)(22,43)(25,32)(27,34)
        (28,29)(35,36)(38,45)(40,48) ], [ () ], 
  [ (), ( 1,20)( 2,31)( 3,37)( 4,16)( 5,36)( 6,40)( 7,12)( 9,15)(10,19)(11,17)
        (13,49)(14,32)(21,22)(23,41)(24,38)(25,30)(26,28)(27,34)(29,45)(33,39)
        (35,46)(42,47)(43,44) ], [ () ], [ () ], 
  [ (), ( 1,41)( 2,33)( 3,12)( 6,11)( 7,48)( 8,19)(10,46)(13,47)(14,26)(16,29)
        (17,30)(18,44)(22,24)(23,34)(27,32)(31,35)(36,45)(37,43)(38,39)(40,42)
        (49,50) ], 
  [ ( 1,14)( 2,21)( 3,42)( 4,17)( 5,49)( 6,28)( 7,10)( 8,26)( 9,36)(13,29)
        (16,23)(18,41)(19,39)(20,22)(24,35)(25,47)(27,30)(31,34)(32,44)(37,48)
        (38,43)(40,50) ], 
  [ (), ( 1, 8,28)( 2, 3,30)( 4,16,21)( 5,50,34)( 6,24,35)( 7,33,37)( 9,22,45)
        (10,49,48)(12,27,32)(13,42,31)(14,39,19)(15,38,47)(17,23,43)(20,25,40)
        (26,44,29)(36,41,46), ( 1,30)( 2,28)( 3, 8)( 4,50)( 5,16)( 6,24)
        ( 7,33)( 9,20)(10,48)(12,43)(13,15)(14,39)(17,32)(21,34)(22,40)(23,27)
        (25,45)(29,44)(31,38)(36,46)(42,47) ], 
  [ (), ( 1,24)( 2,13)( 3,33)( 4,46)( 5,22)( 6,39)( 7,23)( 8,37)( 9,44)(10,30)
        (11,47)(12,18)(14,29)(15,26)(16,27)(17,35)(19,31)(20,36)(25,32)(28,48)
        (38,41)(40,42)(43,50)(45,49), ( 1,46)( 2,23)( 3,33)( 4,24)( 5,22)
        ( 6,37)( 7,13)( 8,39)( 9,40)(11,49)(12,32)(14,19)(15,17)(18,25)(20,36)
        (21,34)(26,35)(29,31)(38,41)(42,44)(45,47) ], [ () ], 
  [ (), ( 1,45)( 3, 9)( 4,27)( 5,43)( 7, 8)(10,32)(11,38)(13,17)(14,16)(15,41)
        (18,21)(19,36)(20,26)(23,30)(24,28)(25,34)(29,42)(31,46)(33,35)
        (37,49) ], 
  [ (), ( 1,17)( 2, 7)( 3,43)( 4,50)( 5,41)( 6,39)( 8,23)( 9,47)(10,13)(11,28)
        (12,35)(14,25)(16,34)(18,31)(19,33)(20,32)(21,37)(22,26)(24,38)(29,42)
        (30,49)(36,40)(44,45)(46,48), ( 1,20,32,17, 2, 7)( 3,29,42,43, 4,50)
        ( 5,27,41)( 6,34,36,14,33,47)( 8,31,12,11,24,13)( 9,19,25,40,16,39)
        (10,38,28,35,18,23)(15,49,30)(21,37,48,22,26,46), 
      ( 1,46)( 2,22)( 5,30)( 6, 9)( 7,26)( 8,10)(11,35)(12,28)(13,23)(14,40)
        (15,27)(16,33)(17,48)(18,24)(19,34)(20,21)(25,36)(31,38)(32,37)(39,47)
        (41,49) ], [ () ], 
  [ (), ( 2, 6)( 3, 5)( 7,18)( 8, 9)(11,43)(12,48)(13,39)(14,50)(15,45)(16,49)
        (17,29)(20,37)(24,41)(25,36)(27,46)(28,35)(30,42)(31,40)(32,47)(33,44)
        (34,38), ( 2,12,17)( 3,41,32)( 4, 9, 8)( 5,47,24)( 6,29,48)( 7,35,40)
        (10,15,45)(11,33,34)(13,39,26)(14,21,50)(16,27,42)(18,31,28)(19,37,20)
        (22,25,36)(30,46,49)(38,44,43), 
      ( 2,17,12)( 3,32,41)( 4, 8, 9)( 5,24,47)( 6,48,29)( 7,40,35)(10,45,15)
        (11,34,33)(13,26,39)(14,50,21)(16,42,27)(18,28,31)(19,20,37)(22,36,25)
        (30,49,46)(38,43,44), ( 2,29)( 3,47)( 4, 9)( 5,41)( 6,12)( 7,31)
        (10,15)(11,38)(13,26)(16,30)(17,48)(18,35)(19,37)(21,50)(22,25)(24,32)
        (27,49)(28,40)(33,43)(34,44)(42,46), 
      ( 2,48)( 3,24)( 4, 8)( 5,32)( 6,17)( 7,28)(10,45)(11,44)(12,29)(14,21)
        (16,46)(18,40)(19,20)(22,36)(26,39)(27,30)(31,35)(33,38)(34,43)(41,47)
        (42,49), ( 1, 4)( 2, 3)( 5, 6)(11,32)(12,49)(13,40)(14,35)(15,36)
        (16,48)(17,44)(19,23)(21,26)(24,46)(25,45)(27,41)(28,50)(29,33)(30,34)
        (31,39)(38,42)(43,47) ], 
  [ (), ( 7,36)( 8, 9)(10,46)(13,20)(15,18)(16,27)(17,38)(19,33)(22,39)(23,42)
        (24,44)(25,43)(26,34)(28,47)(29,37)(32,48)(40,49)(41,50), 
      ( 1, 6)( 4, 5)( 7,50)(11,45)(13,20)(15,48)(16,43)(17,38)(18,32)(19,47)
        (21,31)(22,29)(23,42)(24,49)(25,27)(28,33)(36,41)(37,39)(40,44), 
      ( 1,11)( 2,35)( 3,12)( 4, 5)( 6,45)( 7,48,36,32)( 8,38, 9,17)
        (10,20,46,13)(14,30)(15,50,18,41)(16,25,27,43)(19,22,33,39)(21,31)
        (23,34,42,26)(24,40,44,49)(28,29,47,37) ], 
  [ (), ( 2, 6)( 3, 5)( 7,16)( 8, 9)(11,44)(12,33)(14,15)(17,49)(18,23)(19,28)
        (20,29)(21,31)(22,34)(24,39)(25,36)(26,50)(27,38)(32,43)(37,46)(40,48)
        (41,45), ( 1,35)( 2,41)( 3,25)( 4,42)( 5,36)( 6,45)( 7,27)( 8,37)
        ( 9,46)(10,47)(11,39)(12,21)(13,30)(14,50)(15,26)(16,38)(17,18)(19,28)
        (20,40)(22,43)(23,49)(24,44)(29,48)(31,33)(32,34) ], 
  [ (), ( 1, 4)( 2,29)( 3,25)( 5,50)( 7,36)( 8,10)( 9,31)(11,34)(12,35)(13,44)
        (14,37)(15,47)(17,19)(18,27)(20,30)(22,24)(23,45)(26,43)(28,49)(32,40)
        (33,42)(38,41)(39,46) ], 
  [ (), ( 1, 8, 7,29)( 2,43,25,24)( 3,30,40, 4)( 5, 9,38,45)( 6,17)
        (10,20,11,37)(12,16,34,44)(13,21,15,42)(14,48,28,26)(18,39)
        (19,50,46,33)(22,49,47,35)(23,41,27,36)(31,32), 
      ( 1,14)( 2,24)( 4,30)( 5,16)( 7,28)( 8,26)( 9,12)(10,15)(11,13)(19,47)
        (20,21)(22,46)(25,43)(29,48)(31,32)(33,35)(34,45)(36,41)(37,42)(38,44)
        (49,50) ], [ () ], [ () ], [ () ], 
  [ (), ( 1, 3)( 2,16)( 4,48)( 5,31)( 6,20)( 7,36)( 9,42)(11,21)(12,26)(13,47)
        (14,23)(15,49)(17,34)(18,28)(19,45)(24,30)(25,50)(27,32)(33,44)(35,43)
        (38,40), ( 1,30)( 2,40)( 3,24)( 4,49)( 5,20)( 6,31)( 7,11)( 8,37)
        ( 9,17)(12,32)(13,43)(15,48)(16,38)(18,50)(21,36)(22,39)(25,28)(26,27)
        (33,44)(34,42)(35,47)(41,46) ], [ () ], 
  [ ( 1, 9)( 2,29)( 3,31)( 4,44)( 5,50)( 6,33)( 7,13)( 8,10)(11,41)(14,26)
        (15,25)(16,49)(18,40)(19,22)(21,24)(23,43)(27,45)(28,37)(30,48)(32,38)
        (34,42)(39,47) ], 
  [ (), ( 1, 3)( 4,22)( 5,44)( 6,24)( 7,23)( 9,20)(10,19)(11,28)(13,16)(14,29)
        (18,37)(21,39)(32,40)(33,48)(34,36)(35,38)(41,43)(42,47)(49,50) ], 
  [ (), ( 1,12)( 2,44)( 3, 8)( 4,36)( 5,24)( 6, 7)( 9,32)(10,29)(11,21)(13,22)
        (14,25)(15,35)(16,39)(17,23)(19,47)(20,46)(26,30)(27,31)(33,43)(34,37)
        (38,49)(41,48) ], [ () ], 
  [ (), ( 1, 2)( 3, 4)( 7,12)( 8,38)( 9,10)(11,20)(13,46)(14,27)(15,48)(16,33)
        (17,31)(18,49)(19,30)(21,32)(22,26)(23,42)(24,39)(25,29)(34,44)(35,41)
        (36,45)(43,47) ], 
  [ (), ( 2,34)( 3,27)( 4,20)( 5,13)( 7,48)( 8,41)( 9,33)(10,26)(11,19)(14,47)
        (15,40)(16,32)(17,25)(21,46)(22,39)(23,31)(28,45)(29,38)(35,44)(36,37)
        (42,50), ( 1,12)( 2, 7)( 3,11)( 4,37)( 5,22)( 6,43)( 8,17)( 9,10)
        (13,39)(14,29)(16,21)(18,24)(19,27)(20,36)(23,50)(25,41)(26,33)(28,45)
        (30,49)(31,42)(32,46)(34,48)(38,47), 
      ( 1,24)( 2,21)( 3, 8)( 5,38)( 6,30)( 7,16)(11,17)(12,18)(13,29)(14,39)
        (15,40)(19,25)(22,47)(27,41)(32,48)(34,46)(43,49), 
      ( 1,30)( 3, 8)( 4,42)( 5,29)( 6,24)( 9,33)(10,26)(11,17)(12,49)(13,38)
        (14,22)(15,40)(18,43)(19,25)(20,50)(23,36)(27,41)(28,45)(31,37)(35,44)
        (39,47), ( 1,32,30,16)( 2,49,34,12)( 3, 8,41,27)( 4,47,50,22)
        ( 5,36,38,31)( 6,48,24, 7)( 9,33)(11,19,25,17)(13,23,29,37)
        (14,20,39,42)(15,40)(18,46,43,21)(28,35)(44,45), 
      ( 1,43)( 2,16)( 3,11)( 4,31)( 5,39)( 6,12)( 7,21)( 8,17)( 9,26)(10,33)
        (13,22)(14,38)(18,30)(19,27)(20,23)(24,49)(25,41)(29,47)(32,34)(35,44)
        (36,50)(37,42)(46,48) ], 
  [ (), ( 1,17)( 2,37)( 3,21)( 4,49)( 5, 6)( 7, 8)( 9,28)(10,34)(12,30)(13,26)
        (14,46)(15,47)(16,23)(18,44)(19,45)(20,24)(22,27)(29,38)(31,41)(32,43)
        (36,42), ( 1,30,37,43)( 2,13,17,31)( 3,26,49,41)( 4,12,21,32)
        ( 5, 8, 6, 7)( 9,16,18,15)(10,50,20,11)(14,27,45,22)(19,36,46,42)
        (23,28,47,44)(24,39,34,33)(25,35,40,48) ], 
  [ (), ( 1, 5)( 3, 4)( 6, 7)( 9,18)(10,12)(11,44)(13,22)(14,49)(15,46)(16,32)
        (17,30)(20,31)(24,25)(26,27)(29,42)(33,35)(34,36)(37,43)(38,45)(39,50)
        (40,41), ( 1,16)( 2,23)( 3,11)( 4,20)( 5, 6)( 7,42)( 8,48)( 9,37)
        (13,43)(14,33)(15,35)(17,31)(18,36)(19,28)(21,47)(22,34)(24,38)(25,39)
        (26,45)(27,50)(29,32)(30,44)(40,49)(41,46), 
      ( 1,31)( 2,19)( 5,20)( 8,21)( 9,49)(10,12)(11,42)(13,46)(14,18)(15,22)
        (23,48)(24,25)(26,27)(28,47)(29,44)(33,35)(34,36)(37,43)(38,50)(39,45)
        (40,41), ( 1,42)( 3,17)( 4,30)( 5,29)( 6,32)( 7,16)( 9,22)(11,31)
        (13,18)(14,46)(15,49)(20,44)(24,27)(25,26)(33,41)(34,37)(35,40)(36,43)
        (38,50)(39,45) ], 
  [ ( 7,26)( 8,10)( 9,14)(11,42)(12,18)(13,23)(17,49)(19,28)(20,29)(24,33)
        (25,34)(27,50)(31,39)(32,41)(35,38)(36,46)(37,48)(40,44)(43,45), 
      ( 2, 6)( 3, 5)( 7, 9)( 8,43)(10,45)(11,42)(12,46)(14,26)(15,16)(18,36)
        (19,29)(20,28)(21,22)(24,34)(25,33)(27,39)(31,50)(32,38)(35,41)(37,40)
        (44,48), ( 1,11)( 2,18)( 3, 8)( 5,45)( 6,46)( 7,20)( 9,33)(10,15)
        (12,21)(13,35)(14,19)(16,43)(17,41)(22,36)(23,32)(24,31)(25,27)(26,34)
        (28,39)(29,50)(30,42)(37,44)(38,49), 
      ( 1,30)( 2,21)( 3,15)( 5,16)( 6,22)( 7,50)( 9,31)(13,49)(14,39)(17,23)
        (19,33)(20,34)(24,28)(25,29)(26,27)(32,35)(37,40)(38,41)(44,48) ], 
  [ (), ( 1,47)( 2,32)( 3,48)( 5,11)( 6,18)( 7,46)( 8,15)( 9,10)(12,24)(13,17)
        (14,22)(19,38)(20,36)(21,40)(23,26)(25,37)(27,44)(28,39)(29,34)(30,43)
        (31,41)(33,49)(35,50) ], 
  [ (), ( 2,24)( 3,37)( 4, 8)( 5,21)( 6,36)( 7,40)( 9,45)(12,43)(14,46)(15,20)
        (16,29)(17,25)(19,44)(22,28)(23,38)(26,30)(27,50)(31,33)(32,42)(35,47)
        (39,41)(48,49), ( 1,16)( 3,49)( 5,14)( 6,33)( 7,43)( 8,35)( 9,18)
        (10,47)(11,50)(13,40)(17,44)(19,32)(20,45)(21,36)(22,42)(23,25)(24,27)
        (26,46)(28,38)(29,39)(30,31)(34,48) ], [ () ], [ () ], [ () ], 
  [ () ], 
  [ (), ( 1, 4)( 2, 5)( 3, 6)( 7, 8)( 9,32)(11,43)(12,15)(13,37)(14,31)(16,49)
        (17,33)(18,26)(19,28)(20,21)(22,29)(23,45)(24,36)(25,39)(30,42)(34,48)
        (35,50)(38,44)(40,41)(46,47) ], [ () ], 
  [ (), ( 1,40)( 2,38)( 3,18)( 4, 7)( 5,33)( 6,32)( 8,21)( 9,28)(10,34)(12,19)
        (13,29)(14,16)(15,31)(17,36)(20,30)(22,48)(24,37)(25,35)(26,47)(27,45)
        (39,42)(41,43)(46,50) ], 
  [ ( 1,14)( 2,23)( 3,30)( 4,43)( 5,21)( 6,17)( 7,15)( 8,36)( 9,18)(10,22)
        (11,13)(19,26)(20,41)(24,25)(27,32)(28,33)(29,45)(31,42)(34,48)(35,46)
        (38,50)(40,47)(44,49) ], 
  [ (), ( 1,11)( 2,40)( 3,35)( 4,31)( 5,41)( 6,24)( 8,18)( 9,16)(10,12)(13,28)
        (14,23)(19,43)(21,33)(22,37)(25,47)(26,50)(29,36)(30,44)(32,42)(38,46)
        (45,48) ], 
  [ (), ( 1,33)( 2,50)( 3,25)( 4, 8)( 5,12)( 6,15)( 9,20)(11,28)(13,14)(16,17)
        (18,21)(19,40)(22,41)(23,48)(24,39)(26,47)(27,35)(29,36)(30,42)(31,44)
        (32,46)(34,38)(37,45) ], 
  [ (), ( 1, 9)( 2,14)( 3,49)( 4,26)( 5,18)( 6,27)( 8,17)(10,39)(11,28)(12,23)
        (13,30)(15,22)(16,37)(19,50)(21,48)(24,33)(25,38)(29,40)(31,43)(32,41)
        (34,35)(36,46)(42,44)(45,47) ], 
  [ (), ( 1,10)( 2,37)( 3,27)( 4,13)( 6,15)( 7,43)( 8,30)( 9,48)(11,16)(12,18)
        (14,47)(17,32)(19,41)(20,33)(21,22)(23,46)(24,25)(26,42)(28,38)(29,44)
        (31,34)(45,49), ( 1,40,10,36)( 2,41,49,14)( 3, 4,28,12)( 5, 8,39,30)
        ( 6,15,25,24)( 7,43)( 9,34,46,33)(11,16,17,32)(13,27,18,38)
        (19,37,47,45)(20,23,31,48)(21,29,44,22)(26,50,42,35) ], 
  [ (), ( 1, 3)( 2, 4)( 5, 6)( 7, 8)( 9,10)(11,12)(13,36)(14,41)(17,23)(18,35)
        (19,29)(21,24)(25,30)(26,34)(27,49)(28,33)(31,44)(32,45)(39,47)(40,43)
        (42,50) ], [ () ], [ () ], [ () ], [ () ], [ () ], 
  [ ( 1,48)( 2,24)( 3,37)( 4,35)( 5,36)( 6,43)( 7,49)( 8,23)( 9,47)(10,28)
        (13,42)(14,18)(15,21)(16,46)(17,38)(19,27)(20,39)(22,25)(26,30)(29,33)
        (32,50)(34,45)(40,41) ], 
  [ (), ( 1,42,28)( 2,22,35)( 3, 7,45)( 4,21,33)( 5,38,17)( 6,26, 8)( 9,11,48)
        (10,18,37)(12,47,25)(13,34,16)(14,15,43)(19,24,49)(20,36,23)(27,32,46)
        (30,44,39)(31,40,50), ( 1,48)( 2,22)( 3,27)( 4,26)( 5,36)( 6,21)
        ( 7,46)( 8,33)( 9,28)(10,47)(11,42)(12,18)(13,19)(14,40)(15,31)(16,24)
        (17,23)(20,38)(25,37)(32,45)(34,49)(39,44)(43,50) ], 
  [ (), ( 1, 5)( 2, 3)( 4, 6)( 7,18)( 8,10)(11,34)(12,33)(13,42)(14,29)(15,39)
        (16,48)(19,22)(20,49)(21,40)(23,46)(24,26)(25,44)(27,47)(28,50)(31,32)
        (35,43)(36,38)(37,41) ], [ () ], 
  [ (), ( 2,34)( 3,11)( 4,39)( 5,48)( 7,42)( 8,32)( 9,24)(10,41)(12,46)(13,44)
        (14,28)(16,23)(17,18)(19,27)(20,40)(21,45)(22,50)(26,30)(29,47)(31,38)
        (33,37), ( 1, 6)( 2, 3)( 4, 7)( 5, 8)( 9,33)(10,45)(11,34)(12,26)
        (13,40)(14,22)(15,49)(20,44)(21,41)(24,37)(28,50)(30,46)(32,48)(35,43)
        (39,42) ], [ () ], 
  [ ( 7, 9)( 8,10)(12,39)(13,37)(15,43)(16,25)(17,24)(19,20)(23,26)(31,49)
        (33,47)(34,45)(36,50)(40,48), ( 7,10, 9, 8)(12,43,39,15)(13,23,37,26)
        (16,17,25,24)(19,40,20,48)(31,33,49,47)(34,36,45,50), 
      ( 1, 5)( 2, 3)( 4, 6)( 7, 9)(11,22)(12,24)(13,26)(14,46)(15,16)(17,39)
        (19,40)(20,48)(21,29)(23,37)(25,43)(28,44)(30,38)(33,47)(36,50), 
      ( 1,38)( 2,22)( 3,11)( 5,30)( 7,10)( 8, 9)(12,43)(13,40)(14,21)(15,39)
        (16,24)(17,25)(18,27)(19,23)(20,26)(29,46)(31,36)(33,34)(37,48)(41,42)
        (45,47)(49,50) ], 
  [ (), ( 1,28)( 2,32)( 3,41)( 4, 6)( 5,40)( 7,47)( 8,49)( 9,11)(10,20)(12,45)
        (13,34)(15,18)(16,35)(17,39)(19,23)(21,42)(22,31)(24,38)(25,30)(26,43)
        (29,46)(36,50)(37,44) ], 
  [ (), ( 1,18)( 2,26)( 4,45)( 5,40)( 7,24)( 9,47)(10,34)(11,44)(12,28)(13,15)
        (14,33)(16,37)(17,25)(19,35)(20,48)(21,22)(30,43)(31,41)(36,38)(39,46)
        (42,50) ], [ () ], [ () ], [ () ], [ () ], [ () ], 
  [ (), ( 1,46)( 2,40)( 3,31)( 4,39)( 5, 9)( 6,49)( 7,14)( 8,29)(11,34)(12,37)
        (13,17)(15,28)(16,42)(18,50)(19,24)(20,32)(21,44)(22,47)(23,38)(25,48)
        (26,43)(27,36)(33,41) ], 
  [ (), ( 1,29)( 2,20)( 3,37)( 4,22)( 5,36)( 6,16)( 7,26)(10,23)(11,38)(12,31)
        (13,21)(14,28)(15,44)(18,47)(19,46)(24,48)(25,50)(27,45)(30,43)(32,35)
        (33,34)(39,42) ], [ () ], 
  [ (), ( 1, 2)( 3, 7)( 4, 8)( 5, 6)( 9,21)(11,22)(12,43)(13,44)(14,41)(15,40)
        (16,50)(17,38)(18,46)(19,32)(20,39)(23,30)(24,49)(26,36)(27,47)(28,33)
        (29,34)(31,45) ], 
  [ ( 1, 5)( 3, 4)( 6,42)( 7,50)( 8,40)( 9,18)(10,36)(11,21)(12,33)(13,17)
        (14,22)(16,47)(19,44)(20,23)(24,30)(25,29)(26,46)(27,38)(28,35)(31,43)
        (32,48)(37,45), ( 1, 8,22)( 3,38,10)( 4,36,27)( 5,14,40)( 6,37,13)
        ( 7,11,19)( 9,25,48)(12,47,46)(15,43,31)(16,33,26)(17,45,42)(18,32,29)
        (20,23,34)(21,50,44)(24,49,30)(28,41,35) ], [ () ], [ () ], 
  [ (), ( 1,42)( 2,43)( 3,27)( 5,12)( 6,29)( 7,21)( 8,11)( 9,45)(10,24)(13,47)
        (14,26)(16,33)(17,23)(18,44)(19,32)(20,25)(30,37)(31,48)(34,38)(39,41)
        (40,46)(49,50) ], 
  [ (), ( 1,26)( 2,18)( 3,13)( 4, 7)( 5,20)( 6,11)( 8,38)( 9,50)(10,17)(12,28)
        (14,33)(15,25)(16,36)(19,37)(21,31)(22,47)(24,34)(27,32)(29,40)(30,35)
        (39,49)(41,46)(42,43)(44,45) ], 
  [ (), ( 1,23)( 2,32)( 3,48)( 4,50)( 5,21)( 6,22)( 7,42)( 8,11)(10,16)(12,25)
        (13,45)(14,39)(15,29)(17,26)(19,27)(20,38)(24,34)(28,46)(30,44)(31,47)
        (33,35)(41,43) ], [ () ], 
  [ (), ( 1,25)( 2,44)( 3, 4)( 5,16)( 6,33)( 7,46)( 8,48)( 9,21)(10,30)(11,37)
        (12,20)(13,19)(14,43)(15,36)(17,22)(18,28)(23,26)(24,39)(27,49)(29,42)
        (31,41)(32,40)(34,45)(35,47)(38,50) ], [ () ], 
  [ (), ( 1, 7)( 2,31)( 3,19)( 5,29)( 8,37)( 9,23)(10,46)(11,18)(12,36)(13,20)
        (14,49)(15,22)(16,45)(17,30)(21,28)(24,34)(25,32)(26,40)(33,43)(35,42)
        (44,48)(47,50) ], 
  [ (), ( 1,15)( 2,39)( 3,29)( 4,13)( 5,10)( 7,11)( 8,24)( 9,28)(12,32)(14,43)
        (16,46)(17,19)(20,31)(21,33)(22,42)(23,44)(25,36)(27,45)(30,49)(35,48)
        (37,40)(38,47)(41,50) ], [ () ], 
  [ (), ( 1,14)( 2,27)( 3,42)( 4,48)( 5,38)( 6,16)( 7,26)( 8,45)( 9,11)(10,29)
        (12,32)(15,44)(17,33)(18,28)(19,43)(22,46)(23,35)(24,49)(25,47)(30,41)
        (31,50)(36,39)(37,40) ], 
  [ (), ( 1,20)( 2,15)( 3, 4)( 5,21)( 7, 8)( 9,34)(11,49)(12,25)(13,48)(14,44)
        (16,37)(19,27)(22,41)(23,47)(24,33)(26,42)(28,46)(29,40)(31,43)(32,45)
        (35,39)(36,50), ( 1,28, 2,32, 5,26)( 6,11, 7,10, 8,49)( 9,36,44,14,50,
         34)(12,23,48,13,47,25)(15,46,20,42,21,45)(16,38,37)(17,31,41,30,22,43
         )(18,19,27)(24,35,40)(29,39,33), ( 1,32)( 2,26)( 5,28)( 6,10)( 7,49)
        ( 8,11)( 9,14)(12,13)(15,42)(17,30)(20,45)(21,46)(22,31)(23,47)(25,48)
        (34,44)(36,50)(41,43), ( 1,42,32,15)( 2,45,26,20)( 5,46,28,21)
        ( 6,23,10,47)( 7,13,49,12)( 8,25,11,48)( 9,41,14,43)(17,36,30,50)
        (22,34,31,44), ( 1,45,28,15, 2,46,32,20, 5,42,26,21)( 6,13,11,47, 7,
         25,10,12, 8,23,49,48)( 9,22,36,43,44,17,14,31,50,41,34,30)(16,37,38)
        (18,27,19)(24,40,35)(29,33,39) ], 
  [ (), ( 1,26)( 2,21)( 3, 7)( 4,34)( 5,39)( 6, 8)( 9,36)(10,31)(11,25)(12,18)
        (13,20)(14,29)(15,24)(16,42)(17,44)(19,45)(22,49)(27,46)(28,32)(37,47)
        (48,50) ], 
  [ (), ( 1,34)( 2,17)( 3,10)( 4, 9)( 5,43)( 6,40)( 7,35)(11,21)(12,41)(13,26)
        (14,25)(15,37)(16,45)(18,29)(19,50)(20,28)(22,38)(23,30)(27,47)(32,46)
        (33,48)(36,42) ], 
  [ ( 6,11)( 7, 8)(10,25)(12,47)(13,21)(16,18)(17,34)(19,29)(20,42)(23,30)
        (24,36)(28,48)(31,38)(32,45)(33,35)(37,41)(39,50)(40,44)(43,49), 
      ( 1,46)( 2,15)( 5,14)( 6,32)( 7,12)( 8,47)( 9,27)(10,29)(11,45)(16,38)
        (17,34)(18,31)(19,25)(20,28)(23,39)(24,37)(30,50)(33,40)(35,44)(36,41)
        (42,48)(43,49) ], [ () ], 
  [ ( 7, 8)( 9,24)(10,27)(12,49)(13,26)(14,45)(15,28)(16,40)(17,23)(19,37)
        (20,42)(25,35)(31,36)(33,47)(39,50)(43,48), 
      ( 7,24, 8, 9)(10,25,27,35)(12,42,49,20)(13,43,26,48)(14,31,45,36)
        (15,39,28,50)(16,37,40,19)(17,33,23,47), 
      ( 1, 3)( 2, 4)( 5, 6)( 7, 9)( 8,24)(12,14)(13,19)(15,17)(16,48)(20,31)
        (22,32)(23,28)(25,35)(26,37)(29,44)(30,41)(33,50)(34,38)(36,42)(39,47)
        (40,43)(45,49), ( 1, 4)( 2, 3)( 5, 6)(11,18)(12,49)(13,15)(14,45)
        (16,33)(17,19)(20,42)(21,46)(22,32)(23,37)(26,28)(29,38)(30,41)(31,36)
        (34,44)(39,43)(40,47)(48,50) ], 
  [ (), ( 1,39)( 2,23)( 3,37)( 5,33)( 6,41)( 7,38)( 8,44)( 9,14)(10,22)(11,16)
        (12,48)(13,50)(15,26)(17,24)(18,30)(19,47)(20,27)(21,42)(25,32)(34,45)
        (35,43)(36,46)(40,49) ], [ () ], 
  [ (), ( 1,45)( 2,21)( 3,12)( 4,44)( 5,19)( 6,28)( 7,25)( 8,18)( 9,22)(10,40)
        (11,43)(13,29)(15,42)(16,35)(17,37)(20,38)(23,48)(24,41)(26,33)(27,31)
        (30,36)(34,49)(39,47) ], [ () ], 
  [ (), ( 1, 3)( 2, 4)( 5, 6)( 8,10)( 9,33)(11,46)(12,36)(13,39)(14,50)(17,37)
        (19,20)(21,40)(22,24)(23,25)(26,32)(27,47)(28,45)(29,49)(31,35)(34,38)
        (41,43) ], [ () ], 
  [ (), ( 2,35)( 3,36)( 4,48)( 5,22)( 6,17)( 7,12)( 9,15)(11,49)(13,50)(14,29)
        (16,42)(21,34)(23,27)(24,28)(26,46)(30,41)(31,45)(32,39)(33,43)(37,38)
        (44,47) ], 
  [ (), ( 1,20)( 2,22)( 3,11)( 4, 8)( 5,35)( 6,33)( 7,14)( 9,50)(10,27)(12,44)
        (13,26)(15,28)(16,18)(17,23)(19,30)(21,40)(24,39)(29,47)(31,34)(32,36)
        (37,45)(38,48)(41,43)(46,49) ], 
  [ (), ( 2,13)( 3,10)( 4, 7)( 5,36)( 8,47)( 9,40)(11,43)(12,28)(14,32)(15,29)
        (16,50)(17,45)(18,27)(19,41)(20,31)(21,25)(22,44)(23,38)(24,46)(26,49)
        (30,48)(34,39)(37,42), ( 1,33)( 2,17)( 3,38)( 4,11)( 7,43)( 8,26)
        (10,23)(12,42)(13,45)(15,25)(16,22)(18,39)(19,48)(20,46)(21,29)(24,31)
        (27,34)(28,37)(30,41)(44,50)(47,49) ], 
  [ (), ( 1,26)( 2,14)( 3, 5)( 4,25)( 6,17)( 7,22)( 8,39)( 9,38)(10,33)(11,19)
        (12,27)(13,21)(15,37)(16,40)(18,49)(20,23)(24,36)(28,43)(29,30)(32,34)
        (35,46)(41,45)(42,47)(48,50), 
      ( 1,37,40,39,41,43,42,38)( 2,13, 4,25,21,14,23,20)( 3,46,19,17,49, 7,32,
         30)( 5,29,34,22,18, 6,11,35)( 8,16,15,26, 9,47,28,45)(10,33,12,36,50,
         48,24,27) ], 
  [ (), ( 1,29)( 2, 5)( 3,37)( 4,47)( 6,23)( 7,50)( 8,27)(10,35)(11,25)(12,21)
        (14,33)(15,26)(16,41)(17,48)(19,24)(20,40)(22,30)(31,45)(32,39)(34,43)
        (38,42)(44,46) ], [ () ], 
  [ (), ( 1, 9)( 3,29)( 4,43)( 5,16)( 6,38)( 7,49)( 8,35)(10,39)(11,25)(12,27)
        (15,50)(17,20)(18,42)(21,31)(22,33)(23,47)(24,41)(26,48)(28,30)(34,45)
        (36,46)(37,40), ( 1,18)( 3,35)( 4,41)( 5,15)( 6,30)( 7,27)( 8,29)
        ( 9,42)(10,36)(12,49)(13,44)(14,19)(16,50)(17,23)(20,47)(21,45)(24,43)
        (28,38)(31,34)(37,40)(39,46) ], 
  [ (), ( 1, 9)( 2,23)( 3,32)( 5,28)( 6,13)( 7,10)( 8,11)(14,46)(15,24)(16,44)
        (17,33)(18,47)(19,29)(22,31)(25,42)(26,48)(27,49)(30,37)(35,45)(36,41)
        (38,43)(40,50) ], 
  [ (), ( 1,10)( 2,42)( 4,24)( 5,37)( 6,31)( 8,48)( 9,47)(11,12)(13,38)(14,41)
        (15,32)(16,45)(17,49)(18,34)(19,36)(22,39)(23,33)(26,50)(27,43)(28,44)
        (29,35)(30,46) ], 
  [ (), ( 1, 8)( 2,45)( 3,24)( 4,19)( 5,43)( 6,44)( 7,33)( 9,21)(10,22)(12,42)
        (13,20)(14,18)(15,32)(16,46)(17,47)(25,35)(26,50)(27,31)(29,49)(30,40)
        (36,37)(38,41) ], 
  [ (), ( 1,23)( 2,16)( 3,12)( 4, 8)( 5,35)( 6,14)( 7,41)( 9,25)(10,18)(11,26)
        (13,48)(15,28)(17,32)(20,27)(22,31)(24,34)(29,38)(30,46)(33,45)(39,47)
        (40,43)(42,49) ], 
  [ (), ( 1, 4)( 2, 8)( 3, 5)( 6, 7)(10,24)(11,38)(13,46)(14,41)(15,30)(16,37)
        (17,34)(18,35)(19,42)(20,50)(22,32)(26,43)(29,33)(39,44)(40,45)(47,49)
        , ( 1, 5)( 3, 4)( 6, 7)( 9,31)(10,33)(11,45)(12,36)(13,22)(14,39)
        (15,30)(16,34)(17,37)(18,19)(21,48)(24,29)(26,47)(32,46)(35,42)(38,40)
        (41,44)(43,49), ( 1, 9)( 2,16)( 3,31)( 4,43)( 5,47)( 6,28)( 7,15)
        ( 8,17)(10,38)(11,40)(12,22)(13,32)(14,34)(18,42)(19,33)(20,41)(21,49)
        (23,30)(24,35)(26,48)(29,45)(36,46)(37,44)(39,50), 
      ( 1,26)( 2,20)( 3,49)( 4,43)( 5,47)( 6,30)( 7,15)( 8,50)( 9,48)(10,33)
        (11,42)(12,36)(13,32)(14,37)(16,41)(17,39)(18,40)(19,38)(21,31)(22,46)
        (23,28)(24,29)(34,44)(35,45) ], 
  [ ( 1,28)( 2,13)( 4,12)( 5,34)( 7,47)( 8,48)( 9,22)(10,11)(14,43)(15,23)
        (16,46)(18,49)(19,29)(20,36)(24,42)(26,39)(27,38)(30,31)(32,44)(35,41)
        (37,45)(40,50), ( 1,42)( 3,19)( 5,17)( 6,34)( 7,35)( 8,45)( 9,16)
        (10,40)(12,32)(13,38)(14,21)(15,31)(18,39)(22,41)(23,48)(24,26)(25,29)
        (28,49)(30,37)(33,43)(46,47) ], 
  [ (), ( 6,26)( 7,10)( 8,17)( 9,14)(11,45)(12,44)(13,49)(15,37)(16,22)(21,40)
        (23,39)(24,47)(25,42)(27,29)(28,31)(30,35)(32,41)(33,34)(36,43)(38,48)
        (46,50), ( 1, 2)( 3, 4)( 6,44)( 7,10)( 8,17)( 9,16)(11,37)(12,26)
        (13,43)(14,22)(15,45)(18,20)(23,32)(24,50)(27,33)(29,34)(30,35)(36,49)
        (39,41)(46,47) ], 
  [ (), ( 1,23)( 2,21)( 3,41)( 4,34)( 5,17)( 7,13)( 8,40)(10,33)(11,42)(14,39)
        (15,25)(16,47)(18,29)(19,27)(20,43)(22,31)(24,35)(30,49)(32,37)(36,48)
        (44,50) ], 
  [ (), ( 1, 4)( 3, 9)( 6,39)( 7,46)(10,47)(11,49)(12,29)(13,16)(14,17)(15,36)
        (19,23)(20,24)(21,32)(22,42)(26,37)(28,33)(31,43)(34,44)(35,45)(38,48)
        (40,50) ], 
  [ (), ( 2,19)( 4,50)( 5,21)( 6,10)( 7,11)(13,31)(15,32)(16,24)(17,33)(18,48)
        (20,47)(22,36)(23,41)(26,44)(27,40)(28,43)(29,35)(30,37)(34,42)(38,45)
        (39,46) ], [ () ], [ () ], [ () ], [ () ], [ () ], 
  [ ( 1,35)( 2,25)( 3,44)( 5,12)( 6,41)( 7,38)( 8,30)(11,19)(13,17)(14,24)
        (16,32)(18,45)(20,21)(22,36)(23,48)(26,37)(27,43)(28,33)(31,46)(34,50)
        (39,40)(47,49) ], [ () ], 
  [ (), ( 1, 8)( 2,45)( 3,18)( 4,23)( 5,32)( 7,30)(10,15)(11,37)(12,39)(13,16)
        (14,31)(17,50)(19,27)(20,22)(24,46)(25,41)(26,34)(28,47)(29,48)(35,49)
        (36,38)(40,42) ], 
  [ (), ( 1, 8)( 2,18)( 3,26)( 4,31)( 5,49)( 6,27)( 7,44)( 9,14)(10,12)(15,50)
        (16,42)(17,48)(19,46)(20,39)(21,47)(22,29)(23,33)(24,37)(25,45)(28,35)
        (32,41)(36,43)(38,40), ( 1,39)( 2,21)( 3,48)( 4,25)( 5,44)( 6,14)
        ( 7,49)( 8,20)( 9,27)(10,28)(11,34)(12,35)(15,46)(16,32)(17,26)(18,47)
        (19,50)(22,29)(23,33)(24,36)(31,45)(37,43)(38,40)(41,42) ], 
  [ (), ( 1,21)( 2,40)( 3,43)( 4,44)( 5,25)( 6,27)( 7,49)( 8,39)( 9,22)(11,23)
        (12,13)(14,28)(15,38)(16,32)(17,24)(18,33)(19,50)(20,34)(29,37)(30,45)
        (31,41)(35,42)(46,48) ], 
  [ ( 7,49)( 8,12)( 9,46)(10,47)(11,28)(14,37)(15,31)(19,29)(20,35)(21,23)
        (22,33)(25,45)(32,38)(39,42)(40,43)(41,50), 
      ( 1,17)( 2,24)( 3,34)( 4, 6)( 5,30)( 7,23,49,21)( 8,40,12,43)
        ( 9,41,46,50)(10,45,47,25)(11,33,28,22)(13,16)(14,42,37,39)
        (15,20,31,35)(18,44)(19,38,29,32)(26,27)(36,48), 
      ( 1,30)( 2,34)( 3,24)( 5,17)( 8,50)( 9,43)(10,38)(11,15)(12,41)(13,18)
        (16,44)(19,45)(20,22)(21,23)(25,29)(26,27)(28,31)(32,47)(33,35)(36,48)
        (39,42)(40,46) ], 
  [ ( 7,47,42,45)( 8,12,24,14)( 9,48,44,10)(11,15,32,35)(13,50,16,26)
        (18,21,49,46)(29,31,43,33)(30,36,40,41), 
      ( 1, 4)( 2, 3)( 5, 6)( 7,44,47,10,42, 9,45,48)( 8,15,12,32,24,35,14,11)
        (13,30,50,36,16,40,26,41)(17,38)(18,29,21,31,49,43,46,33)(19,27)
        (20,22)(23,28)(25,34)(37,39), ( 1,34)( 2,20)( 4,38)( 6,22)( 7,50)
        ( 8,24)( 9,48)(10,44)(11,36)(13,47)(15,30)(16,45)(17,25)(18,46)(19,39)
        (21,49)(23,37)(26,42)(29,43)(32,41)(35,40) ], 
  [ (), ( 1,13)( 2,32)( 3,35)( 4,40)( 5,49)( 6,41)( 7,11)( 8,28)( 9,29)(10,30)
        (12,25)(14,33)(15,38)(18,22)(19,21)(20,34)(26,45)(27,48)(31,37)(36,39)
        (42,43) ], [ () ], [ () ], [ () ], 
  [ (), ( 1,23)( 2,22)( 3, 9)( 4,49)( 5,11)( 7,45)( 8,14)(10,12)(15,34)(16,27)
        (17,46)(18,39)(19,38)(21,33)(24,30)(25,44)(26,47)(28,50)(29,48)(31,35)
        (32,42)(37,43) ], [ () ], 
  [ (), ( 1, 5)( 3, 4)( 6,49)( 7,23)( 8,48)( 9,12)(13,21)(14,22)(15,45)(16,34)
        (17,29)(19,47)(20,28)(24,43)(25,32)(26,35)(27,40)(30,39)(31,38)(33,37)
        (36,44)(41,50)(42,46) ], 
  [ (), ( 1, 8)( 2,13)( 3,17)( 4, 7)( 5,27)( 6,25)( 9,45)(10,22)(11,29)(12,26)
        (14,32)(15,42)(16,24)(18,35)(19,46)(20,40)(21,47)(23,37)(28,49)(30,50)
        (31,39)(33,41)(34,44)(36,43)(38,48), 
      ( 1,38)( 2,18)( 3,44)( 4,39)( 5,12)( 6,33)( 7,31)( 8,48)(10,19)(11,29)
        (13,35)(14,30)(15,49)(17,34)(20,40)(21,47)(22,46)(23,36)(25,41)(26,27)
        (28,42)(32,50)(37,43) ], 
  [ (), ( 2,46)( 4,48)( 5,44)( 6,15)( 7,26)( 8,42)( 9,24)(10,39)(11,30)(12,28)
        (13,40)(14,36)(16,17)(19,41)(20,47)(21,43)(22,49)(23,34)(25,38)(27,32)
        (35,50), ( 1,37)( 3,29)( 4,36)( 5,39)( 6,25)( 7,35)( 8,42)( 9,11)
        (10,44)(12,16)(13,19)(14,48)(15,38)(17,28)(18,33)(22,32)(23,34)(24,30)
        (26,50)(27,49)(40,41) ], [ () ], [ () ], 
  [ ( 1,17)( 2, 5)( 3,18)( 4,39)( 6,12)( 7, 8)( 9,43)(11,36)(13,34)(15,24)
        (16,29)(19,38)(20,40)(21,35)(22,50)(23,33)(25,49)(27,46)(41,45)
        (47,48) ], [ () ], 
  [ ( 1,43)( 2,37)( 3,34)( 4, 9)( 6,12)( 7,48)( 8,41)(10,39)(11,19)(13,15)
        (14,50)(16,44)(17,29)(18,24)(21,36)(22,40)(23,28)(25,33)(26,27)(30,49)
        (31,38)(35,45)(46,47) ], [ () ], 
  [ (), ( 2, 8)( 3, 7)( 4, 6)( 9,12)(10,11)(13,15)(16,18)(19,22)(20,21)(23,24)
        (25,29)(26,28)(31,36)(32,35)(33,34)(37,42)(38,41)(39,40)(44,48)(45,47)
        (49,50), ( 1,17)( 2, 4)( 3,44)( 5,43)( 6, 8)( 7,48)( 9,12)(10,40)
        (11,39)(13,50)(14,30)(15,49)(20,34)(21,33)(23,24)(25,29)(26,28)(27,46)
        (31,36)(32,38)(35,41)(37,45)(42,47), 
      ( 1,20)( 3,49)( 4,35)( 5,37)( 7,44)( 8,38)( 9,24)(10,16)(11,19)(12,26)
        (13,48)(14,45)(15,50)(17,33)(18,39)(21,46)(22,40)(23,36)(27,34)(28,31)
        (30,42)(43,47), ( 1,27)( 2, 3)( 4,44)( 5,14)( 6,48)( 7, 8)( 9,31)
        (10,40)(11,39)(12,36)(13,41)(15,38)(16,18)(17,46)(19,22)(30,43)(32,49)
        (35,50), ( 1,46)( 2,38)( 3,15)( 4,32)( 5,30)( 6,35)( 7,13)( 8,41)
        ( 9,36)(10,39)(11,40)(12,31)(14,43)(16,19)(17,27)(18,22)(23,28)(24,26)
        (25,29)(44,49)(48,50) ], [ () ], 
  [ (), ( 1, 5)( 2, 8)( 3, 6)( 4, 7)( 9,12)(10,38)(11,20)(13,37)(16,26)(18,28)
        (19,24)(22,23)(25,36)(27,29)(30,35)(31,32)(33,39)(34,40)(43,46)(44,47)
        (45,48), ( 1,14)( 2, 4)( 3,34)( 5,43)( 6, 8)( 7,33)( 9,40)(10,31)
        (11,25)(12,39)(13,32)(15,42)(17,46)(20,41)(21,36)(23,47)(24,45)(26,48)
        (27,30)(28,44)(29,35)(49,50), ( 1,46)( 2, 3)( 4,39)( 5,14)( 6,40)
        ( 7, 8)( 9,33)(11,41)(12,34)(15,42)(16,45)(17,43)(18,47)(19,48)(20,36)
        (21,25)(22,44)(27,30)(29,35)(31,37)(32,38)(49,50) ], 
  [ (), ( 1,22,15,32)( 2,30,49, 3)( 4,48, 9,16)( 5,44,46,11)( 6,21,34,35)
        ( 7,24,45,17)( 8,42,19,20)(10,23,28,12)(13,27,36,14)(18,31,26,29)
        (33,37,43,38)(39,41,50,40) ], 
  [ (), ( 3,15)( 4,26)( 5,22)( 6, 7)( 8,40)( 9,31)(10,14)(11,29)(12,28)(17,35)
        (18,34)(19,43)(20,25)(21,41)(23,24)(27,32)(33,36)(37,42)(38,39)(44,46)
        (45,47)(48,50), ( 1,13)( 2,30)( 3, 4)( 5,40)( 6,48)( 7,50)( 8,22)
        ( 9,31)(10,46)(11,29)(12,28)(14,44)(15,26)(16,49)(20,27)(23,24)(25,32)
        (33,39)(36,38)(37,45)(42,47), ( 1,49)( 3, 4)( 5,32)( 8,20)( 9,31)
        (10,37)(11,28)(12,29)(13,16)(14,42)(15,26)(17,19)(18,21)(22,27)(25,40)
        (34,41)(35,43)(44,47)(45,46) ], [ () ], 
  [ (), ( 1,20)( 2,29)( 3,40)( 4,45)( 5,18)( 6,35)( 7,46)( 8,14)( 9,26)(10,23)
        (11,17)(12,16)(13,19)(15,32)(21,30)(22,42)(25,28)(31,37)(33,43)(36,47)
        (38,39)(41,49)(44,48) ], [ () ], [ () ], 
  [ (), ( 1,43)( 2,41)( 3,26)( 4,20)( 5,21)( 6,14)( 7,42)( 8,29)( 9,46)(10,19)
        (11,32)(12,30)(13,35)(15,50)(16,47)(17,33)(18,39)(22,36)(23,48)(25,45)
        (27,49)(28,31)(34,37) ], [ () ], [ () ], [ () ], [ () ], [ () ], 
  [ (), ( 1, 2)( 3, 7)( 4, 8)( 5, 6)( 9,43)(10,39)(11,26)(12,46)(13,31)(14,23)
        (15,35)(17,49)(18,22)(19,21)(20,47)(24,33)(27,50)(29,37)(30,34)(32,40)
        (36,38)(41,45)(42,48) ], 
  [ (), ( 1,30)( 2,35)( 5,46)( 6, 8)( 7,19)( 9,39)(10,25)(11,42)(12,20)(13,37)
        (14,26)(15,47)(16,49)(17,24)(18,45)(21,28)(22,50)(23,34)(27,36)(29,33)
        (32,40)(38,48)(41,44) ], 
  [ ( 7,14)( 8,25)( 9,50)(10,41)(11,47)(12,21)(13,32)(15,38)(16,30)(17,18)
        (19,34)(20,37)(22,39)(24,45)(27,36)(29,48)(35,46)(40,49)(42,44), 
      ( 1, 6)( 4, 5)( 7,14)( 8,41)( 9,50)(10,25)(12,44)(15,17)(16,45)(18,38)
        (19,35)(20,49)(21,42)(22,39)(23,26)(24,30)(31,43)(34,46)(37,40), 
      ( 1,23)( 2,12)( 3,49)( 4,27)( 5,31)( 6,47)( 7,46)( 8,30)( 9,15)(11,32)
        (13,26)(14,18)(16,41)(17,34)(19,50)(20,21)(28,37)(29,36)(33,42)(35,38)
        (40,44)(43,48), ( 1,36, 6,27)( 4,47, 5,11)( 8,24,10,16)(12,44,42,21)
        (13,31,32,43)(15,35,18,34)(17,46,38,19)(20,37,40,49)(23,29,26,48)
        (25,30,41,45) ], 
  [ (), ( 2, 6)( 3, 5)( 7,19)( 8,15)( 9,18)(10,49)(11,48)(13,31)(14,26)(16,50)
        (17,20)(21,36)(22,37)(23,43)(24,30)(25,27)(29,46)(33,42)(34,44)(35,45)
        (38,40)(39,41), ( 2,23)( 3,11)( 5,48)( 6,43)( 7,17)( 8, 9)(10,33)
        (12,28)(13,29)(14,26)(15,18)(16,22)(19,20)(21,41)(24,30)(25,45)(27,35)
        (31,46)(32,47)(34,40)(36,39)(37,50)(38,44)(42,49), 
      ( 2,43)( 3,48)( 5,11)( 6,23)( 7,20)( 8,18)( 9,15)(10,42)(12,28)(13,46)
        (16,37)(17,19)(21,39)(22,50)(25,35)(27,45)(29,31)(32,47)(33,49)(34,38)
        (36,41)(40,44), ( 1, 4)( 2, 3)( 5, 6)( 7,10)( 8,18)( 9,15)(11,23)
        (12,32)(13,31)(14,30)(16,50)(17,33)(19,49)(20,42)(21,35)(22,37)(24,26)
        (25,39)(27,41)(28,47)(29,46)(36,45)(43,48) ], 
  [ (), ( 1, 3)( 2, 4)( 5, 6)( 9,17)(10,49)(12,31)(13,24)(14,37)(15,28)(16,19)
        (18,45)(20,42)(21,26)(22,41)(23,36)(25,47)(27,34)(29,43)(30,46)(32,50)
        (33,40)(38,44)(39,48) ], 
  [ (), ( 2,39)( 3,38)( 4,20)( 5,30)( 6,22)( 7,26)( 8,42)( 9,33)(10,18)(11,45)
        (12,37)(13,34)(14,35)(17,28)(19,50)(21,40)(24,32)(25,41)(27,43)(29,47)
        (31,46), ( 1,49)( 3,13)( 4,25)( 5,43)( 6,37)( 7,21)( 8,17)(10,18)
        (11,46)(12,22)(14,35)(15,16)(19,47)(20,41)(23,36)(24,32)(26,40)(27,30)
        (28,42)(29,50)(31,45)(34,38)(44,48) ], 
  [ (), ( 1, 8)( 2,14)( 3,37)( 4,50)( 5,42)( 6,20)( 7,18)(10,48)(11,47)(12,41)
        (13,32)(15,36)(16,29)(19,28)(21,44)(22,40)(23,43)(24,46)(25,33)(26,45)
        (27,38)(30,39)(31,35), ( 1,30)( 2,13)( 3,47)( 4,50)( 5,33)( 6,36)
        ( 7,16)( 8,39)(11,37)(12,21)(14,32)(15,20)(17,34)(18,29)(19,28)(22,46)
        (23,27)(24,40)(25,42)(26,35)(31,45)(38,43)(41,44) ], [ () ], [ () ], 
  [ (), ( 1,26)( 2,18)( 3,13)( 4,48)( 6,45)( 7,46)( 9,14)(10,12)(11,22)(16,19)
        (17,21)(23,25)(24,28)(27,29)(30,41)(32,35)(33,49)(34,50)(36,47)(37,42)
        (38,39)(40,43), ( 1,30)( 2,28)( 3,34)( 4,27)( 5,31)( 6,46)( 7,45)
        (10,35)(11,22)(12,32)(13,50)(15,44)(17,25)(18,24)(21,23)(26,41)(29,48)
        (33,47)(36,49)(38,43)(39,40) ], [ () ], [ () ], [ () ], 
  [ (), ( 6,27)( 7,21)( 8,36)( 9,18)(10,20)(11,17)(13,44)(14,29)(15,28)(16,48)
        (19,22)(23,32)(24,26)(25,37)(30,42)(31,39)(34,41)(35,45)(38,50)(43,49)
        (46,47) ], [ () ], [ () ], 
  [ (), ( 1, 3)( 2, 4)( 5, 6)( 8,10)( 9,50)(11,48)(12,40)(13,24)(14,47)(15,25)
        (16,49)(17,20)(18,21)(19,45)(22,41)(23,39)(27,34)(28,42)(29,43)(30,36)
        (32,37)(33,46)(38,44) ], 
  [ (), ( 1, 5)( 2, 3)( 4, 6)( 7,35)( 8,13)( 9,31)(11,34)(12,27)(14,32)(15,50)
        (16,46)(17,30)(18,23)(20,43)(21,28)(22,42)(24,36)(25,39)(33,45)(40,48)
        (41,44), ( 1, 8)( 2,33)( 3,45)( 4,35)( 5,13)( 6, 7)( 9,23)(11,32)
        (12,50)(14,34)(15,27)(16,30)(17,46)(18,31)(19,29)(20,48)(21,44)(22,25)
        (24,36)(26,47)(28,41)(37,49)(39,42)(40,43) ], [ () ], 
  [ (), ( 1, 4)( 2, 3)( 5, 6)( 9,13)(10,22)(11,18)(12,43)(14,20)(15,49)(16,50)
        (17,30)(19,37)(21,35)(23,40)(24,27)(25,48)(26,32)(28,47)(29,39)(31,33)
        (34,41)(36,44)(38,46)(42,45), ( 1,38)( 2,34)( 3,41)( 4,46)( 5,16)
        ( 6,50)( 9,18)(10,24)(11,13)(12,31)(14,20)(15,28)(17,40)(19,48)(21,29)
        (22,27)(23,30)(25,37)(33,43)(35,39)(36,45)(42,44)(47,49), 
      ( 1,46, 3,50, 6,41, 4,38, 2,16, 5,34)( 9,12,22,27,31,18,13,43,10,24,33,
         11)(14,25,49,32,47,37,20,48,15,26,28,19)(17,42,29,35,36,23,30,45,39,
         21,44,40) ], 
  [ (), ( 1,35,49)( 3, 6,34)( 4,45,43)( 5,50,33)( 7,12,32)( 8,31,42)( 9,24,47)
        (10,11,25)(13,17,21)(14,16,37)(15,30,39)(18,29,41)(19,22,44)(20,28,38)
        (23,36,46)(27,48,40) ], 
  [ (), ( 1,12)( 2,21)( 3,17)( 4,29)( 5, 8)( 6,15)( 7,26)( 9,10)(13,14)(16,45)
        (18,20)(22,50)(23,36)(24,39)(25,49)(27,35)(28,46)(30,32)(31,40)(33,34)
        (37,44)(38,41)(42,47)(43,48) ], 
  [ (), ( 1,23)( 2,48)( 3,43)( 4,50)( 5,37)( 6,38)( 7,42)( 8,41)(10,44)(11,18)
        (12,27)(13,35)(14,25)(15,21)(16,47)(17,34)(19,49)(20,22)(24,31)(26,28)
        (29,40)(32,46)(33,36)(39,45), ( 1,31,48,46)( 2,24,23,32)( 3,44,26, 4)
        ( 5,37)( 6,19)( 7, 9,42,30)( 8,41)(10,43,50,28)(11,22)(12,25,14,27)
        (13,36,33,35)(15,39,29,17)(16,47)(18,20)(21,34,40,45)(38,49), 
      ( 1,45)( 2,39)( 4,44)( 6,22)( 7,30)( 8,16)( 9,42)(11,19)(12,13)(14,33)
        (15,24)(17,23)(18,49)(20,38)(21,46)(25,35)(27,36)(28,43)(29,32)(31,40)
        (34,48)(41,47), ( 1,46,48,31)( 2,32,23,24)( 3,28,26,43)( 4,50,44,10)
        ( 6,18)( 7,30,42, 9)( 8,16)(11,38)(12,25,14,27)(13,36,33,35)
        (15,17,29,39)(19,20)(21,45,40,34)(22,49)(41,47), 
      ( 1,48)( 2,23)( 3,26)( 4,44)( 7,42)( 9,30)(10,50)(12,14)(13,33)(15,29)
        (17,39)(21,40)(24,32)(25,27)(28,43)(31,46)(34,45)(35,36) ], [ () ], 
  [ (), ( 1,17)( 2,31)( 4,22)( 5,11)( 6,48)( 7,12)( 8,21)( 9,45)(13,16)(14,47)
        (15,20)(18,44)(19,27)(23,40)(24,33)(25,34)(26,39)(28,36)(29,32)(30,46)
        (35,41)(38,43)(42,50), ( 1,41)( 2,44)( 4,36)( 5, 9)( 6,14)( 7,39)
        ( 8,40)(11,45)(12,26)(15,42)(17,35)(18,31)(20,50)(21,23)(22,28)(24,33)
        (29,46)(30,32)(37,49)(47,48) ], 
  [ (), ( 1,39)( 2, 6)( 3,10)( 4,33)( 5,35)( 8,27)( 9,20)(11,28)(12,46)(13,26)
        (14,29)(15,18)(16,49)(17,43)(21,47)(24,50)(25,44)(30,32)(36,48)(38,40)
        (41,42) ], 
  [ (), ( 1,10)( 2,18)( 3,35)( 4,28)( 5,46)( 7,36)( 8,48)( 9,49)(12,31)(14,45)
        (20,40)(21,25)(22,27)(23,39)(24,32)(26,34)(29,41)(30,38)(33,43)
        (42,50) ], 
  [ (), ( 1,28)( 2,23)( 3,37)( 5,46)( 6,49)( 7,12)( 8,19)( 9,18)(10,17)(13,21)
        (14,45)(15,32)(16,50)(20,43)(22,34)(25,40)(26,39)(27,36)(29,41)(30,31)
        (33,44)(35,38)(42,47) ], 
  [ (), ( 1, 7)( 2,27)( 3,33)( 4,24)( 5,43)( 6,15)( 8,35)( 9,31)(10,13)(11,23)
        (12,29)(16,22)(17,39)(19,20)(25,40)(26,46)(28,49)(30,42)(32,41)(34,44)
        (36,50)(37,38)(45,48) ], 
  [ (), ( 1, 4)( 2, 8)( 3, 5)( 6, 7)( 9,43)(11,44)(12,23)(13,36)(15,18)(16,25)
        (17,48)(19,27)(20,22)(21,29)(24,50)(26,33)(28,46)(30,35)(31,45)(32,34)
        (37,39)(38,47)(40,42)(41,49), ( 1, 9)( 2,48)( 3,39)( 4,43)( 5,37)
        ( 6,19)( 7,27)( 8,17)(10,14)(11,12)(13,46)(15,24)(16,26)(18,50)(20,30)
        (22,35)(23,44)(25,33)(28,36)(32,34)(38,47)(40,42)(41,49) ], 
  [ ( 6,32)( 7,20)( 8,47)(10,23)(12,13)(14,50)(15,31)(16,19)(17,30)(18,22)
        (21,34)(24,37)(26,39)(27,28)(29,45)(33,46)(38,44)(40,43)(41,48), 
      ( 2,42)( 3,11)( 4,36)( 6,15)( 7,37)( 8,47)(10,23)(14,26)(16,40)(17,46)
        (19,43)(20,24)(21,34)(25,49)(29,45)(30,33)(31,32)(38,48)(39,50)(41,44)
        , ( 1, 9)( 2,23,42,10)( 3,47,11, 8)( 4,34,36,21)( 5,35)( 6,26,15,14)
        ( 7,17,37,46)(12,13)(16,48,40,38)(18,28)(19,44,43,41)(20,33,24,30)
        (22,27)(25,45,49,29)(31,39,32,50) ], [ () ], [ () ], 
  [ (), ( 2, 6)( 3, 5)( 9,12)(10,32)(11,15)(13,30)(14,23)(17,36)(18,20)(19,28)
        (21,42)(24,40)(26,35)(27,34)(29,37)(41,50)(43,45)(44,48)(46,47), 
      ( 1,16)( 2,46)( 3,20)( 4,31)( 5,18)( 6,47)( 7,39)( 8,49)( 9,13)(10,32)
        (12,30)(14,36)(17,23)(19,28)(21,40)(22,33)(24,42)(26,34)(27,35)(29,41)
        (37,50)(43,45), ( 1,31)( 2,18)( 3,47)( 4,16)( 5,46)( 6,20)( 7,49)
        ( 8,39)( 9,12)(10,28)(11,44)(13,30)(14,36)(15,48)(17,23)(19,32)(21,26)
        (22,33)(24,27)(29,41)(34,40)(35,42)(37,50)(43,45) ], 
  [ (), ( 1, 4)( 2, 3)( 5, 6)( 7,50)( 8,10)( 9,18)(11,19)(12,31)(13,16)(14,24)
        (15,30)(17,45)(20,41)(21,44)(22,38)(23,28)(25,36)(26,48)(27,43)(32,39)
        (33,46)(34,35)(37,47)(40,42), ( 1,32)( 2,27)( 3,43)( 4,39)( 5,31)
        ( 6,12)( 7,16)( 9,40)(11,17)(13,50)(14,24)(18,42)(19,45)(20,41)(21,44)
        (22,46)(23,48)(25,47)(26,28)(33,38)(34,35)(36,37) ], 
  [ (), ( 2,22)( 3,39)( 4,16)( 5,10)( 6, 7)( 8,24)( 9,50)(11,26)(12,33)(13,28)
        (14,20)(15,47)(17,27)(18,35)(19,38)(21,40)(25,44)(29,30)(34,49)(36,48)
        (37,43)(41,45)(42,46), ( 1,32)( 2, 5)( 3,24)( 4,16)( 6,34)( 7,49)
        ( 8,39)( 9,30)(10,22)(11,43)(12,13)(15,44)(17,35)(18,27)(19,41)(21,42)
        (23,31)(25,47)(26,37)(28,33)(29,50)(36,48)(38,45)(40,46), 
      ( 1,36)( 2,40)( 3,34)( 4,31)( 5,46)( 6,24)( 7,39)( 8,49)( 9,30)(10,21)
        (11,28)(12,26)(13,37)(16,23)(17,45)(18,41)(19,27)(22,42)(25,47)(32,48)
        (33,43)(35,38) ], 
  [ ( 7, 8)( 9,24)(10,15)(11,17)(13,42)(14,41)(19,22)(23,33)(25,50)(26,29)
        (28,39)(31,38)(32,35)(34,47)(36,40)(37,44), 
      ( 7,24, 8, 9)(10,22,15,19)(11,25,17,50)(13,14,42,41)(23,26,33,29)
        (28,32,39,35)(31,40,38,36)(34,44,47,37), 
      ( 1, 2, 6)( 3, 5, 4)(11,32,29)(12,18,45)(13,37,40)(14,34,38)(16,48,43)
        (17,35,26)(20,46,30)(21,27,49)(23,25,39)(28,33,50)(31,41,47)(36,42,44)
        , ( 1, 3)( 2, 4)( 5, 6)( 7,24)( 8, 9)(10,19)(11,23)(12,45)(14,41)
        (15,22)(16,48)(17,33)(20,30)(25,29)(26,50)(27,49)(28,35)(31,34)(32,39)
        (36,44)(37,40)(38,47) ], [ () ], 
  [ (), ( 1,29)( 2,20)( 3,38)( 4,12)( 5, 6)( 8,16)( 9,22)(10,25)(11,40)(13,18)
        (14,39)(17,48)(19,36)(21,45)(23,43)(24,27)(26,35)(28,32)(31,49)(33,41)
        (34,37)(42,46)(44,50) ], [ () ], 
  [ (), ( 1,42)( 2,26)( 3,20)( 5, 6)( 7,25)( 8,13)( 9,11)(10,50)(12,49)(15,21)
        (17,37)(18,34)(19,41)(22,31)(23,29)(24,48)(27,36)(28,43)(30,33)(32,45)
        (35,46)(38,40)(39,47) ], 
  [ (), ( 1, 3)( 2,39)( 4,27)( 6,13)( 7,40)( 8,35)( 9,30)(10,49)(11,46)(12,23)
        (14,36)(15,28)(16,22)(18,19)(20,42)(21,41)(24,48)(25,43)(26,47)(31,44)
        (32,50)(33,34) ], 
  [ (), ( 2,46)( 3,23)( 4, 9)( 5,12)( 6,16)( 7,47)( 8,32)(10,18)(11,15)(13,29)
        (17,34)(20,35)(21,26)(22,30)(24,27)(25,50)(28,44)(31,48)(33,36)(38,42)
        (41,43)(45,49), ( 1,11)( 3,28)( 5,23)( 6,21)( 7,20)( 8,47)(10,12)
        (13,32)(14,19)(15,39)(16,26)(17,48)(18,44)(24,40)(25,30)(27,37)(29,35)
        (31,34)(33,41)(36,42)(38,49)(43,45), 
      ( 1,39)( 3,10)( 5,44)( 7,13)( 8,35)(11,15)(12,28)(18,23)(20,32)(22,50)
        (24,27)(25,30)(29,47)(33,49)(36,45)(37,40)(38,41)(42,43) ], [ () ], 
  [ (), ( 2, 6)( 3, 5)( 7, 8)( 9,35)(10,48)(11,47)(12,46)(13,45)(14,44)(15,50)
        (16,49)(17,41)(18,40)(19,39)(20,38)(21,37)(22,43)(23,42)(24,34)(25,33)
        (26,32)(27,31)(28,30)(29,36), ( 2,25)( 3,42)( 5,23)( 6,33)( 9,43)
        (10,14)(11,16)(12,18)(13,29)(15,20)(17,26)(19,39)(21,27)(22,35)(31,37)
        (32,41)(36,45)(38,50)(40,46)(44,48)(47,49) ], 
  [ (), ( 1,45)( 2,27)( 3,17)( 4, 9)( 6,47)( 7,15)( 8,21)(10,31)(11,18)(12,39)
        (13,16)(14,49)(19,30)(20,40)(22,48)(23,26)(24,38)(25,43)(28,29)(32,50)
        (33,46)(34,37)(35,36)(41,42) ], 
  [ (), ( 1,21)( 2,22)( 3, 6)( 4, 7)( 5,36)( 8,20)( 9,15)(10,25)(11,14)(12,43)
        (13,24)(16,19)(17,35)(18,30)(23,49)(26,31)(27,42)(28,41)(29,46)(33,44)
        (37,48)(40,47), ( 1,31)( 2,46)( 3, 7)( 4, 6)( 5,44)( 8,49)( 9,14)
        (10,25)(11,15)(12,16)(13,24)(17,18)(19,43)(20,23)(21,26)(22,29)(27,28)
        (30,35)(32,34)(33,36)(37,48)(38,50)(39,45)(40,47)(41,42), 
      ( 1,33)( 2,23)( 3, 7)( 4, 6)( 5,26)( 8,29)( 9,41)(10,13)(11,27)(12,19)
        (14,42)(15,28)(16,43)(17,18)(20,46)(21,44)(22,49)(24,25)(30,35)(31,36)
        (37,40)(38,39)(45,50)(47,48) ], 
  [ (), ( 1,22)( 2,40)( 3,42)( 4,43)( 7,25)( 8,11)( 9,28)(10,47)(12,48)(13,24)
        (14,32)(15,26)(16,21)(17,18)(19,20)(23,39)(27,35)(29,49)(30,38)(31,44)
        (33,45)(41,50) ], [ () ], [ () ], 
  [ (), ( 1,20)( 2,25)( 3,38)( 4,36)( 5,50)( 6,43)( 7,34)( 8,11)( 9,35)(10,47)
        (13,23)(14,41)(15,31)(16,17)(18,21)(19,22)(24,37)(27,30)(28,46)(29,39)
        (33,40)(42,45), ( 1,34)( 2,14)( 3, 9)( 4,27)( 5,39)( 7,20)( 8,37)
        (10,18)(11,24)(12,26)(16,42)(17,45)(21,47)(25,41)(28,40)(29,50)(30,36)
        (33,46)(35,38)(44,48) ], [ () ], [ () ], [ () ], [ () ], [ () ], 
  [ (), ( 1,26)( 2,13)( 4,46)( 5,45)( 7, 9)( 8,14)(10,33)(11,41)(12,39)(16,36)
        (17,47)(18,49)(20,32)(21,38)(22,42)(23,34)(24,27)(25,31)(28,29)(37,50)
        (40,44), ( 1,50)( 2,13)( 3,19)( 4,46)( 5,29)( 6,35)( 7,34)( 8,20)
        ( 9,23)(10,33)(12,39)(14,32)(15,48)(16,42)(17,31)(18,49)(22,36)(24,27)
        (25,47)(26,37)(28,45)(40,44) ], [ () ], 
  [ (), ( 1, 4)( 2, 5)( 3, 6)( 8,10)(11,49)(12,13)(14,30)(15,26)(17,34)(18,39)
        (20,50)(21,37)(22,46)(23,32)(24,42)(25,31)(28,47)(29,40)(33,38)(35,44)
        (36,48)(41,43) ], [ () ], 
  [ (), ( 1, 3)( 2, 4)( 5, 6)( 7,10)( 8,13)( 9,15)(11,35)(12,31)(16,37)(17,38)
        (18,26)(20,48)(21,23)(22,47)(24,34)(25,44)(27,45)(28,36)(29,40)(30,33)
        (32,39)(41,50)(42,46), ( 1, 4)( 2, 5)( 3, 6)( 7,10)( 8,13)( 9,15)
        (11,18)(12,27)(14,36)(16,45)(17,25)(20,42)(21,38)(22,29)(23,44)(26,39)
        (30,48)(31,37)(32,35)(33,46)(34,49)(40,50)(41,47), 
      ( 1,40)( 2,22)( 3,29)( 4,47)( 5,50)( 6,41)(11,46)(12,45)(18,48)(19,43)
        (20,26)(21,44)(23,25)(24,34)(27,31)(28,36)(30,32)(33,39)(35,42) ], 
  [ (), ( 2,30)( 3,20)( 4,17)( 6,45)( 7,41)( 8,33)( 9,23)(10,19)(11,26)(12,37)
        (13,24)(15,40)(16,46)(21,34)(22,29)(27,50)(28,35)(31,42)(36,49)(38,43)
        (39,48), ( 1,11)( 2,25)( 3,36)( 4,23)( 7,50)( 8,33)( 9,24)(10,20)
        (12,37)(13,17)(15,21)(16,28)(18,39)(19,49)(22,27)(29,41)(31,35)(32,45)
        (34,38)(40,43)(42,46), ( 1,25)( 2,11)( 3,23)( 4,36)( 7,35)( 8,33)
        ( 9,20)(10,24)(12,37)(13,19)(15,21)(16,29)(17,49)(22,46)(26,30)(27,42)
        (28,41)(31,50)(34,40)(38,43)(44,47) ], 
  [ ( 6,32)( 7,38)( 8,48)( 9,16)(10,50)(11,49)(12,20)(17,31)(18,19)(23,42)
        (24,47)(25,33)(26,27)(28,46)(29,43)(30,34), 
      ( 3,50,10)( 4,29,43)( 5,24,47)( 6,46,48)( 7,38,21)( 8,28,32)( 9,37,16)
        (11,20,27)(12,49,26)(13,34,30)(15,42,23)(17,35,31)(18,19,39)(25,44,33)
        , ( 2,14)( 3,13)( 4,44)( 5,39)( 6,32)( 7,31)( 8,46)( 9,23)(10,30)
        (11,12)(15,37)(16,42)(17,38)(18,24)(19,47)(20,49)(21,35)(22,41)(25,43)
        (26,27)(28,48)(29,33)(34,50)(36,40), 
      ( 1,22)( 2,36)( 3,18)( 4,29)( 5,33)( 6,11)( 7,21)( 8,26)( 9,30)(10,19)
        (12,32)(13,16)(14,45)(15,42)(20,48)(24,44)(25,47)(27,46)(28,49)(31,35)
        (34,37)(39,50)(40,41), ( 1,45)( 2,22)( 3, 5)( 4,37)( 7,17)( 8,28)
        ( 9,29)(10,24)(11,20)(12,49)(13,39)(14,41)(15,44)(16,43)(18,30)(19,34)
        (21,35)(23,33)(25,42)(31,38)(46,48)(47,50) ], 
  [ (), ( 1,16)( 2,44)( 3,18)( 4,35)( 5,12)( 6,31)( 7,21)( 8,26)( 9,43)(10,47)
        (11,49)(13,37)(15,36)(17,30)(19,45)(20,32)(22,23)(25,48)(27,50)(28,38)
        (29,41)(33,42)(34,39), ( 1,32)( 2, 8)( 3,23)( 4,15)( 5,45)( 6,39)
        ( 7,10)( 9,27)(11,41)(12,19)(13,28)(16,20)(17,42)(18,22)(21,47)(24,46)
        (25,48)(26,44)(29,49)(30,33)(31,34)(35,36)(37,38)(43,50) ], 
  [ (), ( 2,20)( 3,13)( 5,46)( 6,39)( 7,24)( 8,17)( 9,27)(10,21)(11,23)(14,18)
        (15,45)(19,47)(22,38)(26,48)(28,42)(31,49)(32,33)(37,40)(43,44), 
      ( 1, 4)( 2, 3)( 5, 6)( 7,24)( 8,10)( 9,27)(11,15)(12,41)(13,20)(14,47)
        (16,29)(17,21)(18,19)(22,31)(23,45)(26,48)(28,44)(30,35)(32,37)(33,40)
        (36,50)(38,49)(39,46)(42,43), ( 1, 6)( 4, 5)( 8,10)(12,41)(13,20)
        (16,29)(17,28)(18,32)(19,37)(21,44)(23,38)(26,36)(30,39)(35,46)(42,43)
        (45,49)(48,50), ( 1,30)( 2, 3)( 4,35)( 5,46)( 6,39)( 8,43)(10,42)
        (11,22)(13,20)(14,33)(15,31)(17,44)(18,32)(19,37)(21,28)(23,38)(26,48)
        (36,50)(40,47)(45,49), ( 1,35)( 4,30)( 5,39)( 6,46)( 7,24)( 8,42)
        ( 9,27)(10,43)(11,31)(12,41)(14,40)(15,22)(16,29)(17,28)(18,37)(19,32)
        (21,44)(23,49)(33,47)(38,45) ], [ () ], 
  [ (), ( 1,30)( 2, 7)( 3,45)( 4,50)( 5,22)( 6,33)( 8,21)( 9,41)(10,38)(11,43)
        (12,42)(13,29)(14,17)(15,20)(16,49)(18,48)(23,32)(24,31)(25,37)(26,47)
        (27,40)(28,46)(34,44)(35,36) ], 
  [ (), ( 3,12)( 4,31)( 5,48)( 6,43)( 7, 9)( 8,13)(10,47)(11,46)(14,50)(15,37)
        (16,34)(17,44)(18,36)(19,40)(20,38)(21,33)(23,29)(24,49)(25,32)(26,28)
        (30,39)(41,42), ( 1, 2)( 3, 7)( 4, 8)( 5, 6)( 9,12)(10,47)(11,19)
        (13,31)(14,50)(15,39)(16,18)(20,38)(21,24)(22,45)(25,32)(26,41)(27,35)
        (28,42)(30,37)(33,49)(34,36)(40,46)(43,48) ], [ () ], 
  [ (), ( 1,40)( 2, 3)( 4,28)( 5,50)( 6,33)( 7,24)( 9,17)(11,41)(12,49)(13,31)
        (15,48)(16,32)(18,30)(19,27)(20,47)(22,44)(23,42)(25,43)(26,38)(29,34)
        (35,45)(36,37)(39,46) ], [ () ], 
  [ (), ( 1,36)( 2, 7)( 3,49)( 4,23)( 5,45)( 8,33)( 9,20)(10,25)(11,12)(13,16)
        (14,32)(15,35)(17,44)(18,21)(19,31)(22,41)(26,39)(28,38)(29,47)(30,46)
        (34,48)(37,40)(42,43) ], 
  [ (), ( 1,30)( 2,36)( 3,24)( 4,10)( 5,31)( 7,16)( 8,21)( 9,33)(11,46)(12,19)
        (13,45)(14,23)(15,44)(17,41)(18,37)(20,49)(22,34)(26,48)(27,50)(28,47)
        (29,40)(32,39)(35,38)(42,43) ], [ () ], 
  [ (), ( 1, 3,20,14)( 2,25,31,44)( 4,40,21,18)( 5,45,24,15)( 6,22,27,11)
        ( 7,47,32,19)( 8,39,42,50)( 9,37,35,41)(10,46,33,16)(12,49,28,23)
        (13,29,26,36)(17,30,48,43)(34,38) ], 
  [ (), ( 1, 8)( 2,46)( 3,37)( 4,14)( 5,34)( 6,27)( 7,15)( 9,41)(10,28)(11,20)
        (12,36)(13,23)(17,49)(18,35)(21,48)(24,39)(25,33)(26,47)(30,31)(32,40)
        (42,44), ( 1,21)( 2,33)( 3,29)( 5,30)( 6,41)( 8,12)( 9,24)(10,20)
        (11,42)(13,50)(14,43)(15,45)(16,49)(18,25)(19,26)(27,39)(28,44)(31,40)
        (32,34)(35,46)(36,48) ], 
  [ (), ( 1, 9)( 4,33)( 5,13)( 6,12)(10,11)(14,32)(15,19)(16,24)(18,27)(20,35)
        (25,42)(26,50)(28,48)(29,49)(30,38)(34,39)(37,43)(40,46), 
      ( 1,15,35,12)( 2, 3,41,31)( 4,26,49,24)( 5,32,10,42)( 6, 9,19,20)
        ( 7,21,47,22)( 8,45)(11,25,13,14)(16,33,50,29)(17,44,23,36)
        (18,46,34,48)(27,40,39,28)(37,43), 
      ( 1,16, 9,24)( 2,44)( 3,17)( 4, 6,33,12)( 5,42,13,25)( 7,22)( 8,45)
        (10,32,11,14)(15,49,19,29)(18,40,27,46)(20,26,35,50)(21,47)(23,31)
        (28,39,48,34)(30,43,38,37)(36,41), ( 1,20)( 2,41)( 3,31)( 4,29)( 5,11)
        ( 6,15)( 7,47)( 9,35)(10,13)(12,19)(14,42)(16,26)(17,23)(18,39)(21,22)
        (24,50)(25,32)(27,34)(28,46)(30,38)(33,49)(36,44)(37,43)(40,48), 
      ( 1,50, 9,26)( 2,36)( 3,23)( 4,19,33,15)( 5,32,13,14)( 6,29,12,49)
        ( 7,21)( 8,45)(10,42,11,25)(16,20,24,35)(17,31)(18,28,27,48)(22,47)
        (30,43,38,37)(34,40,39,46)(41,44) ], 
  [ (), ( 1,28)( 2,31)( 4, 5)( 6,50)( 7,46)( 8,10)( 9,35)(11,33)(12,29)(13,44)
        (14,40)(16,38)(17,18)(19,30)(20,43)(21,34)(22,32)(23,36)(24,47)(25,45)
        (26,27)(37,41)(39,48)(42,49) ], [ () ], 
  [ (), ( 1,16)( 2,11)( 3,43)( 4,44)( 6,47)( 7,45)( 8,49)( 9,42)(10,13)(12,26)
        (15,41)(17,36)(18,20)(19,34)(21,29)(22,32)(23,31)(24,40)(25,46)(27,30)
        (35,37)(38,50) ], [ () ], [ () ], 
  [ (), ( 6,35)( 7,38)( 8,39)( 9,27)(10,18)(11,41)(12,21)(13,33)(14,25)(15,17)
        (16,45)(19,46)(20,50)(22,26)(23,47)(24,40)(28,29)(30,36)(31,48)(32,37)
        (44,49), ( 1,14, 2,16, 5, 9)( 6,12, 7,33, 8,15)(10,26,40,41,23,20)
        (11,31,50,37,22,46)(13,21,17)(18,29,24,44,47,36)(19,49,48,30,32,28)
        (25,42,45,43,27,34)(35,39,38), 
      ( 1,21,16, 8,34,39,45,12)( 2,17, 9, 7,42,38,27,15)( 3, 4)
        ( 5,13,14, 6,43,35,25,33)(10,24,44,20,32,46,11,30)(18,36,41,19,37,50,
         49,40)(22,28,23,47,29,26,48,31), ( 1,42)( 2,34)( 3, 4)( 5,43)( 6,15)
        ( 7,33)( 8,12)( 9,45)(13,38)(14,25)(16,27)(17,35)(19,48)(20,26)(21,39)
        (22,50)(23,40)(24,47)(28,30)(29,36)(31,46) ], 
  [ (), ( 7, 9)( 8,16)(10,19)(11,41)(12,22)(13,28)(14,46)(15,45)(20,49)(21,31)
        (23,27)(24,43)(26,29)(30,38)(32,35)(33,47)(34,44)(37,40)(39,48), 
      ( 2, 6)( 3, 5)( 7, 8)( 9,16)(10,19)(11,49)(12,48)(13,47)(14,46)(15,45)
        (17,50)(18,42)(20,41)(21,40)(22,39)(23,44)(24,43)(25,36)(26,35)(27,34)
        (28,33)(29,32)(30,38)(31,37), ( 2,17)( 3,36)( 5,25)( 6,50)( 7,32)
        ( 8,29)( 9,35)(10,19)(12,40)(14,24)(15,38)(16,26)(18,42)(21,48)(22,37)
        (30,45)(31,39)(43,46), ( 2,43, 6,24)( 3,45, 5,15)( 7,37, 8,31)
        ( 9,21,16,40)(10,18,19,42)(11,20,49,41)(12,35,48,26)(13,28,47,33)
        (14,17,46,50)(22,29,39,32)(23,34,44,27)(25,38,36,30), 
      ( 2,46, 6,14)( 3,30, 5,38)( 7,22, 8,39)( 9,48,16,12)(10,42,19,18)
        (11,20,49,41)(13,28,47,33)(15,36,45,25)(17,43,50,24)(21,26,40,35)
        (23,34,44,27)(29,31,32,37), ( 2,50)( 3,25)( 5,36)( 6,17)( 7,29)( 8,32)
        ( 9,26)(11,49)(12,21)(13,47)(14,43)(15,30)(16,35)(20,41)(22,31)(23,44)
        (24,46)(27,34)(28,33)(37,39)(38,45)(40,48), 
      ( 1, 4)( 2, 3)( 5, 6)( 7,29)( 8,32)( 9,26)(10,19)(11,13)(14,45)(15,46)
        (16,35)(17,36)(18,42)(20,33)(23,34)(24,30)(25,50)(27,44)(28,41)(38,43)
        (47,49) ], 
  [ (), ( 1,11)( 2,16)( 3, 4)( 5,37)( 6,30)( 7,50)( 9,20)(10,18)(12,27)(13,44)
        (14,15)(17,25)(19,38)(21,35)(22,32)(23,42)(26,31)(28,33)(29,41)(34,48)
        (45,47), ( 1,16)( 2,11)( 5,37)( 6, 7)( 9,19)(10,48)(12,41)(13,44)
        (17,23)(18,34)(20,38)(21,28)(22,32)(24,40)(25,42)(27,29)(30,50)(33,35)
        (36,46)(39,43) ], [ () ], [ () ], [ () ], [ () ], 
  [ (), ( 1,22)( 2,18)( 3, 4)( 5,48)( 6,30)( 7,16)( 8,28)( 9,12)(10,32)(11,38)
        (13,42)(14,20)(15,24)(17,19)(21,29)(25,47)(27,50)(31,35)(33,45)(34,43)
        (36,41)(37,39)(40,46) ], 
  [ (), ( 1,12)( 2,48)( 3, 9)( 4,23)( 5,19)( 6,21)( 7,36)( 8,11)(10,25)(14,35)
        (15,16)(18,38)(22,43)(24,37)(26,33)(27,30)(28,39)(29,41)(32,49)(34,46)
        (40,47)(45,50) ], [ () ], 
  [ (), ( 1, 9)( 2,46)( 4,37)( 5,26)( 7,27)( 8,21)(10,35)(11,12)(13,28)(15,22)
        (16,19)(18,47)(20,31)(24,41)(25,49)(29,32)(30,40)(33,48)(36,38)(39,42)
        (43,50)(44,45) ], 
  [ (), ( 1,44)( 2, 7)( 3,14)( 4,37)( 5,40)( 6,49)( 8,45)( 9,35)(10,19)(11,29)
        (12,43)(15,21)(16,32)(17,41)(18,38)(20,36)(23,28)(24,48)(25,47)(27,30)
        (31,39)(33,34)(46,50) ], [ () ], 
  [ (), ( 1,29)( 2,41)( 3,33)( 4,40)( 5,21)( 6,24)( 8, 9)(10,49)(11,31)(12,39)
        (13,38)(14,47)(15,48)(16,20)(18,28)(23,32)(26,37)(30,46)(34,42)
        (43,50) ], 
  [ (), ( 1,19)( 2,48)( 3,38)( 5,33)( 6,31)( 7,15)( 8,17)( 9,35)(10,50)(11,13)
        (12,47)(14,25)(18,42)(20,45)(21,46)(22,34)(26,40)(27,49)(28,39)(29,44)
        (30,41)(32,43) ], 
  [ (), ( 1,37)( 2,23)( 3,50)( 4,48)( 5,22)( 6,24)( 7, 8)( 9,44)(10,49)(11,40)
        (14,35)(15,20)(16,30)(17,43)(18,45)(21,31)(25,46)(28,38)(29,47)(33,41)
        (34,39)(36,42) ], [ () ], 
  [ (), ( 1,11)( 4,13)( 5,38)( 6,10)( 7,41)( 8,18)( 9,32)(12,33)(14,31)(15,39)
        (16,47)(17,43)(19,40)(20,44)(22,30)(23,24)(26,45)(28,37)(29,46)(34,50)
        (35,49)(36,42) ], 
  [ (), ( 1,46)( 2,35)( 4,32)( 5,48)( 6,19)( 7,27)( 8,13)( 9,14)(10,29)(11,39)
        (12,33)(15,36)(16,31)(18,25)(20,45)(21,47)(26,41)(28,37)(30,44)(34,40)
        (38,49)(42,43) ], 
  [ (), ( 1,22)( 2,21)( 3, 4)( 5,41)( 6, 7)( 8,32)( 9,35)(10,27)(11,29)(12,28)
        (13,38)(14,34)(15,25)(16,45)(17,44)(18,30)(19,49)(20,42)(23,36)(24,46)
        (26,47)(33,40)(37,50)(39,43), ( 1,34)( 2,24)( 3,38)( 4,20)( 5,14)
        ( 6, 7)( 9,42)(10,27)(11,12)(13,35)(17,25)(18,30)(19,43)(22,26)(23,36)
        (28,49)(29,39)(32,45)(33,40)(37,50)(41,47), 
      ( 1,41)( 2,21)( 5,22)( 6,40)( 7,33)( 8,17)(10,18)(11,49)(12,39)(13,20)
        (15,45)(16,25)(19,29)(23,50)(24,46)(27,30)(28,43)(31,48)(32,44)(36,37)
        (38,42) ], 
  [ ( 1,27)( 2,42)( 3,44)( 4,30)( 5, 6)( 7,38)(11,14)(12,19)(13,35)(15,49)
        (16,33)(17,41)(20,43)(21,26)(22,36)(23,40)(24,34)(28,46)(29,39)(32,50)
        (45,48), ( 1,30)( 2,44)( 3,42)( 4,27)( 7,17)( 8,31)( 9,10)(12,35)
        (13,19)(15,20)(16,50)(18,25)(21,39)(22,45)(23,40)(26,29)(32,33)(36,48)
        (37,47)(38,41)(43,49), ( 1,44)( 2,30)( 3,27)( 4,42)( 7,26)( 8,31)
        ( 9,10)(11,24)(12,35)(13,19)(14,34)(15,20)(17,29)(18,47)(21,38)(22,48)
        (23,40)(25,37)(36,45)(39,41)(43,49) ], [ () ], [ () ], [ () ], 
  [ (), ( 1,34)( 2, 6)( 3,49)( 4,36)( 5,45)( 8,38)( 9,50)(10,40)(11,30)(12,13)
        (14,16)(15,20)(17,31)(18,41)(19,44)(21,29)(22,27)(23,35)(25,43)(26,39)
        (28,33)(32,47) ], [ () ], 
  [ (), ( 9,13)(10,27)(11,24)(12,26)(14,38)(15,47)(16,46)(17,22)(18,42)(19,29)
        (20,39)(21,45)(23,40)(25,33)(28,31)(30,35)(32,50)(34,44)(36,48)(37,49)
        (41,43), ( 1, 2, 5, 8)( 3, 7, 6, 4)( 9,22,10,33)(11,31,12,43)
        (13,17,27,25)(14,48,37,50)(15,47)(16,23)(18,29,44,21)(19,34,45,42)
        (20,35,39,30)(24,28,26,41)(32,38,36,49)(40,46), 
      ( 1, 3)( 2, 4)( 5, 6)( 7, 8)( 9,11)(10,12)(13,24)(14,21)(16,40)(17,41)
        (18,50)(19,49)(20,39)(22,43)(23,46)(25,28)(26,27)(29,37)(31,33)(32,42)
        (34,36)(38,45)(44,48), ( 1, 5)( 2, 8)( 3, 6)( 4, 7)( 9,10)(11,12)
        (13,27)(14,37)(17,25)(18,44)(19,45)(20,39)(21,29)(22,33)(24,26)(28,41)
        (30,35)(31,43)(32,36)(34,42)(38,49)(48,50) ], 
  [ ( 7, 8)( 9,43)(10,41)(12,40)(13,20)(15,44)(18,33)(21,37)(22,39)(23,34)
        (25,36)(27,50)(32,47)(35,42), ( 7,15, 8,44)( 9,41,43,10)(12,18,40,33)
        (13,47,20,32)(21,23,37,34)(22,25,39,36)(27,42,50,35), 
      ( 1, 4)( 2,26)( 3,48)( 5,11)( 6,31)( 7,15, 8,44)( 9,41,43,10)
        (12,33,40,18)(13,36,20,25)(14,17)(16,30)(19,46)(21,34,37,23)
        (22,32,39,47)(24,29)(27,42,50,35)(28,38)(45,49), 
      ( 1,19)( 2,26)( 3,48)( 4,46)( 5,28)( 6,14)( 7,43)( 8, 9)(10,44)(11,38)
        (12,21)(13,25)(15,41)(16,29)(17,31)(18,34)(20,36)(22,47)(23,33)(24,30)
        (32,39)(35,42)(37,40) ], 
  [ (), ( 1,40)( 2,25)( 3,20)( 4,30)( 5,33)( 6,27)( 7,24)( 8,50)( 9,22)(11,44)
        (12,19)(13,32)(18,48)(21,49)(23,45)(26,47)(28,42)(31,34)(41,43), 
      ( 1,47)( 2,11)( 3,18)( 4,41)( 5,19)( 7,23)( 9,22)(12,33)(13,34)(14,38)
        (15,17)(20,48)(24,45)(25,44)(26,40)(30,43)(31,32)(36,39)(37,46) ], 
  [ () ], 
  [ (), ( 1,48)( 2,23)( 3,39)( 4,45)( 5,44)( 6,12)( 7,34)( 8,18)( 9,22)(10,36)
        (11,20)(13,40)(14,38)(15,27)(16,47)(19,41)(21,33)(24,50)(25,49)(26,28)
        (29,35)(30,32)(31,43)(37,46) ], 
  [ (), ( 3,22)( 4,42)( 5,27)( 6,21)( 7,15)( 8,44)( 9,24)(10,48)(11,37)(12,50)
        (14,46)(16,49)(17,43)(18,28)(19,31)(20,35)(25,45)(26,39)(29,38)(32,40)
        (36,41), ( 2,23)( 3,29)( 4,28)( 5,27)( 6,26)( 7,25)( 8,24)( 9,44)
        (10,50)(11,49)(12,48)(13,47)(14,46)(15,45)(16,37)(17,43)(18,42)(19,41)
        (20,40)(21,39)(22,38)(31,36)(32,35)(33,34), 
      ( 2,24,44,23, 8, 9)( 3,25,31,29, 7,36)( 4,26,11,28, 6,49)( 5,27)
        (10,12,13,50,48,47)(14,46)(15,38,19,45,22,41)(16,21,18,37,39,42)
        (17,43)(20,33,35,40,34,32), ( 2,44, 8)( 3,31, 7)( 4,11, 6)( 9,24,23)
        (10,13,48)(12,50,47)(15,19,22)(16,18,39)(20,35,34)(21,37,42)(25,29,36)
        (26,28,49)(32,33,40)(38,45,41), ( 1, 5)( 3, 4)( 6,31)( 7,11)( 8,44)
        ( 9,24)(10,48)(12,50)(15,26)(16,45)(18,38)(19,49)(20,35)(21,25)(22,28)
        (27,30)(29,42)(32,40)(36,37)(39,41)(43,46), 
      ( 1,43,27,14,30,46, 5,17)( 3,29,42, 4,38,22,28,18)( 6,41,19,26,16, 7,25,
         37)(11,45,15,49,39,31,36,21) ], 
  [ (), ( 2,34)( 3,16)( 4,42)( 5,15)( 6,19)( 7,43)( 8,20)( 9,49)(10,46)(11,44)
        (12,35)(13,21)(14,31)(18,41)(22,39)(24,47)(29,30)(32,40)(33,37)(38,48)
        (45,50), ( 1,23)( 2, 9)( 3,16)( 4,50)( 5,38)( 6,19)( 7,10)( 8,37)
        (12,18)(14,39)(15,48)(20,33)(22,31)(24,47)(25,26)(27,28)(34,49)(35,41)
        (42,45)(43,46) ], 
  [ (), ( 1, 4)( 2, 3)( 5, 6)( 7, 9)( 8,26)(10,43)(11,32)(12,48)(13,19)(15,50)
        (16,49)(17,40)(18,23)(20,35)(21,41)(22,37)(24,47)(25,31)(27,28)(29,38)
        (30,34)(33,44)(36,42)(39,46) ], [ () ], 
  [ (), ( 1, 3,39,46)( 2,23,35,38)( 4,28, 6,11)( 5,24,19,10)( 7,41,45,26)
        ( 8,20)( 9,29,37,49)(12,14,48,13)(15,43,18,17)(16,44,27,34)
        (21,30,31,32)(22,47,36,25)(33,40,50,42), 
      ( 1,25)( 2,33)( 3,36)( 4,27)( 5,32)( 6,16)( 7,48)( 8,20)( 9,37)(10,21)
        (11,34)(12,45)(13,26)(14,41)(15,43)(17,18)(19,30)(22,46)(23,42)(24,31)
        (28,44)(35,50)(38,40)(39,47), ( 1,39)( 2,35)( 3,46)( 4, 6)( 5,19)
        ( 7,45)( 9,37)(10,24)(11,28)(12,48)(13,14)(15,18)(16,27)(17,43)(21,31)
        (22,36)(23,38)(25,47)(26,41)(29,49)(30,32)(33,50)(34,44)(40,42) ], 
  [ () ], 
  [ (), ( 1, 7)( 2, 5)( 3, 8)( 4, 6)( 9,30)(11,47)(12,34)(13,15)(16,31)(17,49)
        (18,24)(19,36)(20,39)(21,26)(22,23)(25,50)(27,48)(28,33)(32,46)(35,41)
        (37,40)(42,44)(43,45) ], [ () ], [ () ], 
  [ (), ( 1,29)( 2,33)( 3,23)( 5,31)( 6,45)( 7,44)( 8,16)( 9,32)(11,30)(12,13)
        (14,26)(15,18)(17,38)(19,42)(20,24)(21,36)(22,35)(27,34)(39,47)(40,48)
        , ( 1,34)( 2, 5)( 3,23)( 4,28)( 6, 8)( 7,39)( 9,21)(10,25)(11,22)
        (14,26)(15,38)(16,45)(17,18)(27,29)(30,35)(31,33)(32,36)(40,48)(41,46)
        (44,47) ], 
  [ ( 1, 8)( 3,32)( 4,16)( 5,25)( 6, 9)( 7,12)(10,21)(11,30)(13,23)(14,26)
        (17,47)(18,40)(19,34)(20,39)(22,29)(24,50)(27,28)(31,37)(33,43)(35,45)
        (36,48)(41,46)(44,49) ], [ () ], 
  [ ( 7, 8)( 9,43)(10,27)(11,50)(12,45)(13,40)(14,23)(15,37)(16,49)(18,38)
        (19,32)(21,42)(22,48)(24,34)(25,47)(26,33)(28,35)(29,36)(30,31)(41,44)
        , ( 7,10, 9,32)( 8,19,43,27)(11,48,30,40)(13,31,22,50)(14,41,44,23)
        (15,37,47,25)(17,21,46,42)(20,34,39,24), 
      ( 7,43)( 8, 9)(10,19)(11,31)(12,45)(13,48)(14,41)(15,25)(16,49)(17,46)
        (18,38)(20,39)(22,40)(23,44)(26,33)(27,32)(28,35)(29,36)(30,50)(37,47)
        , ( 1, 6)( 4, 5)( 7, 8)( 9,43)(10,19)(11,50)(12,33)(13,48)(14,37)
        (15,23)(16,49)(17,46)(18,36)(20,39)(21,42)(22,40)(24,34)(25,44)(26,45)
        (27,32)(28,35)(29,38)(30,31)(41,47), 
      ( 1,34,17, 5,21,20)( 2, 3)( 4,42,39, 6,24,46)( 7,19,29,43,32,36)
        ( 8,10,38, 9,27,18)(11,48,45,30,40,33)(12,50,13,26,31,22)(14,47,15)
        (16,28)(23,37,41)(35,49), ( 1,42,46, 6,21,17)( 4,34,20, 5,24,39)
        ( 7,19,29, 8,10,38)( 9,27,18,43,32,36)(11,13,45,50,48,26)
        (12,30,22,33,31,40)(14,25,47,37,44,41)(15,23)(16,49)(28,35) ], 
  [ (), ( 1, 5, 2, 4)( 3,43, 8,33)( 6,22, 7,24)( 9,14,31,34)(10,12,21,44)
        (11,39,35,19)(13,37,46,20)(15,18,32,49)(16,40,25,50)(17,27,28,29)
        (23,47,42,41)(26,48,36,30)(38,45), ( 1,19)( 2,39)( 4,11)( 5,35)( 6, 9)
        ( 7,31)(12,44)(13,50)(14,24)(15,32)(16,20)(17,48)(22,34)(23,41)(25,37)
        (26,27)(28,30)(29,36)(33,43)(38,45)(40,46)(42,47), 
      ( 1,27, 2,29)( 3,12, 8,44)( 4,17, 5,28)( 6, 9, 7,31)(10,43,21,33)
        (11,30,35,48)(13,50,46,40)(14,24,34,22)(15,49,32,18)(16,20,25,37)
        (19,36,39,26)(23,41,42,47)(38,45), 
      ( 1,29, 2,27)( 3,44, 8,12)( 4,28, 5,17)( 6,31, 7, 9)(10,33,21,43)
        (11,48,35,30)(13,40,46,50)(14,22,34,24)(15,18,32,49)(16,37,25,20)
        (19,26,39,36)(23,47,42,41)(38,45), ( 1,39)( 2,19)( 3, 8)( 4,35)( 5,11)
        ( 6,31)( 7, 9)(10,21)(13,40)(14,22)(16,37)(17,30)(18,49)(20,25)(23,47)
        (24,34)(26,29)(27,36)(28,48)(38,45)(41,42)(46,50) ], 
  [ (), ( 1,14)( 2,38)( 3,24)( 4,45)( 7,28)( 8,21)(11,41)(12,35)(13,30)(16,36)
        (18,46)(19,37)(22,25)(23,47)(26,50)(27,49)(29,40)(31,33)(32,42)(34,43)
        , ( 1,30)( 2,31)( 3,50)( 4,18)( 5,39)( 6,20)( 7,22)( 8,42)( 9,10)
        (12,36)(13,14)(16,35)(17,48)(19,34)(21,32)(24,26)(25,28)(27,29)(33,38)
        (37,43)(40,49)(45,46) ], 
  [ (), ( 1,47)( 2,13)( 3,49)( 4,32)( 6,44)( 7,18)( 8,34)( 9,42)(10,31)(11,37)
        (12,20)(15,46)(16,39)(17,29)(21,24)(22,38)(23,45)(25,41)(26,36)(27,30)
        (33,35)(48,50), ( 1,48)( 2, 7)( 3,38)( 4,32)( 5,14)( 6,44)( 8,10)
        ( 9,26)(11,37)(12,15)(13,18)(16,27)(17,29)(20,46)(21,33)(22,49)(23,41)
        (24,35)(25,45)(30,39)(31,34)(36,42)(40,43)(47,50) ], 
  [ (), ( 2,27)( 3,28)( 4,29)( 5,23)( 6,41)( 7,30)( 8,21)(10,34)(11,20)(12,38)
        (13,40)(14,32)(15,46)(16,48)(18,36)(19,47)(24,39)(25,35)(26,50)(31,33)
        (42,43)(44,49) ], 
  [ (), ( 1, 2)( 3, 4)( 6,18)( 8,28)( 9,12)(10,25)(13,39)(15,47)(16,27)(17,30)
        (19,40)(20,41)(21,37)(23,49)(24,33)(26,34)(29,44)(31,36)(32,50)(35,38)
        (43,45) ], 
  [ ( 6,45)( 7,47)( 8,27)( 9,49)(10,15)(12,25)(13,18)(16,43)(17,21)(19,22)
        (20,30)(23,28)(24,40)(26,36)(31,34)(32,46)(33,44)(39,42)(41,48), 
      ( 1,40,35,24)( 2,31,29,34)( 3,11)( 4,16,37,43)( 6,15,26,23)( 7,47,17,21)
        ( 8,13,20,42)( 9,33,44,49)(10,45,28,36)(12,38,25,50)(18,27,39,30)
        (19,22)(32,41)(46,48) ], 
  [ (), ( 1,24)( 2,30)( 4,28)( 5,18)( 6,10)( 7,15)( 8,21)( 9,33)(11,37)(12,45)
        (13,43)(14,49)(16,42)(17,40)(19,41)(20,36)(22,48)(23,25)(26,32)(27,44)
        (29,39)(34,47)(38,46) ], 
  [ (), ( 1,37)( 2, 3)( 4,11)( 5,10)( 6,27)( 7,25)( 8,17)( 9,47)(13,50)(14,22)
        (15,34)(16,36)(18,24)(19,31)(20,21)(23,26)(28,40)(32,33)(35,41)(42,43)
        (44,45)(46,49) ], 
  [ (), ( 1, 2)( 4,49)( 5,38)( 6,47)( 8,23)( 9,31)(10,35)(12,19)(13,29)(14,40)
        (15,39)(17,44)(18,22)(20,24)(21,45)(25,32)(27,33)(28,48)(34,43)(36,41)
        (37,46) ], [ () ], 
  [ (), ( 1,11)( 2,45)( 3,10)( 4,40)( 5,27)( 6, 9)( 7,34)( 8,26)(12,38)(13,18)
        (14,31)(15,28)(16,33)(19,48)(20,49)(22,30)(23,35)(25,32)(29,41)(36,37)
        (39,46)(42,47)(43,44), ( 1,47)( 2,45)( 3,10)( 5,19)( 6,15)( 7,13)
        ( 8,46)( 9,28)(11,42)(16,30)(18,34)(20,36)(21,24)(22,33)(23,41)(25,32)
        (26,39)(27,48)(29,35)(37,49)(43,44) ], 
  [ (), ( 7,39, 9,40)( 8,19,35,18)(10,13,21,26)(11,37,43,17)(14,50,33,44)
        (15,16,42,41)(20,22,29,27)(23,25,36,28)(31,45,48,34), 
      ( 7,40, 9,39)( 8,18,35,19)(10,26,21,13)(11,17,43,37)(14,44,33,50)
        (15,41,42,16)(20,27,29,22)(23,28,36,25)(31,34,48,45), 
      ( 1, 4)( 2, 5)( 3, 6)( 7,35)( 8, 9)(11,37)(13,26)(14,23)(15,41)(16,42)
        (17,43)(18,40)(19,39)(20,48)(22,45)(25,44)(27,34)(28,50)(29,31)(32,46)
        (33,36)(38,49) ], 
  [ (), ( 1, 4)( 2, 3)( 5, 6)( 7,29)( 8,37)(10,44)(11,49)(12,23)(13,14)(15,34)
        (16,22)(17,48)(18,27)(19,39)(20,30)(21,41)(25,35)(26,28)(31,33)(32,42)
        (36,40)(38,50)(43,47)(45,46), ( 1,24, 4, 9)( 2,15, 5,10)( 3,44, 6,34)
        ( 7, 8,37,29)(11,22,17,50)(12,30,43,40)(13,32,45,18)(14,27,46,42)
        (16,49,38,48)(19,41,21,39)(20,23,36,47)(25,35)(26,28,31,33) ], 
  [ (), ( 1,27)( 2,24)( 3,49)( 4,47)( 5,44)( 6,21)( 7,50)( 8,32)(10,37)(12,43)
        (14,40)(15,28)(16,36)(17,31)(18,20)(19,48)(22,26)(25,39)(29,42)(30,34)
        (35,45)(41,46) ], [ () ], 
  [ (), ( 1,20)( 2,33)( 4,38)( 5,21)( 6,48)( 7,24)( 8,18)(10,27)(11,36)(12,35)
        (13,49)(15,47)(16,43)(17,45)(19,46)(23,31)(26,40)(28,50)(29,39)(37,44)
        (41,42), ( 1,43)( 2,18)( 3,34)( 4,44)( 5,31)( 6,48)( 7,11)( 8,33)
        ( 9,30)(10,26)(14,25)(16,20)(19,39)(21,23)(22,32)(24,36)(27,40)(28,50)
        (29,46)(37,38)(41,42) ], 
  [ (), ( 1, 8)( 3,44)( 4,32)( 5,29)( 6,25)( 7,14)( 9,40)(10,43)(11,41)(12,38)
        (13,19)(15,16)(17,36)(18,46)(20,42)(21,22)(23,37)(24,45)(26,47)(27,39)
        (33,48)(34,50)(35,49) ], 
  [ (), ( 1, 3)( 2,11)( 4,29)( 5,35)( 6,34)( 7,30)( 8,21)( 9,13)(10,39)(12,44)
        (14,19)(16,25)(17,45)(18,23)(20,37)(22,40)(24,43)(26,47)(27,42)(28,32)
        (31,36)(38,48)(41,49)(46,50), ( 1,16,10,21)( 2,42)( 3,25,39, 8)
        ( 4,32,12,38)( 5,34,31,46)( 6,36,50,35)( 7,43,26,45)( 9,37,14,18)
        (11,27)(13,20,19,23)(15,33)(17,30,24,47)(22,49)(28,44,48,29)(40,41), 
      ( 1,20)( 2,11)( 3,37)( 4,28)( 5,46)( 6,36)( 7,30)( 8,14)( 9,25)(10,23)
        (12,48)(13,16)(15,33)(17,43)(18,39)(19,21)(22,41)(24,45)(26,47)(27,42)
        (29,32)(31,34)(35,50)(38,44)(40,49), 
      ( 1,37)( 3,20)( 4,32)( 5,50)( 6,31)( 8,19)( 9,16)(10,18)(12,38)(13,25)
        (14,21)(15,33)(17,24)(22,49)(23,39)(28,29)(34,36)(35,46)(40,41)(43,45)
        (44,48), ( 1,39)( 2,11)( 3,10)( 4,44)( 5,36)( 6,46)( 7,47)( 8,16)
        ( 9,19)(12,29)(13,14)(17,43)(18,20)(21,25)(22,40)(23,37)(24,45)(26,30)
        (27,42)(28,38)(31,35)(32,48)(34,50)(41,49) ], 
  [ (), ( 1, 9)( 3,34)( 4,43)( 6,27)( 7,45)(10,15)(11,12)(13,14)(16,41)(17,39)
        (18,23)(19,40)(20,32)(21,48)(22,38)(24,37)(25,35)(29,49)(33,47)(36,42)
        (44,50) ], 
  [ ( 1,13)( 3,28)( 4,22)( 5, 7)( 6,38)( 8,23)( 9,17)(11,42)(12,41)(14,21)
        (15,16)(18,45)(19,24)(20,46)(25,33)(26,36)(27,47)(29,31)(30,37)(32,34)
        (35,40)(39,49)(43,50), ( 1,29)( 2,48)( 3,11)( 4,13)( 5,28)( 6,37)
        ( 7,39)( 8,22)( 9,41)(10,47)(15,43)(16,46)(18,40)(20,26)(21,24)(23,31)
        (25,32)(27,44)(30,34)(33,38)(36,50)(42,49) ], [ () ], 
  [ (), ( 1,47)( 2,32)( 3,45)( 4, 8)( 5,15)( 6,50)( 7,34)( 9,48)(10,11)(12,36)
        (13,43)(14,40)(16,21)(17,28)(18,41)(19,20)(22,26)(23,29)(24,35)(25,27)
        (30,44)(33,42)(38,39)(46,49), ( 1,49)( 2,36)( 3,50)( 4,38)( 5,20)
        ( 6,45)( 7,29)( 8,39)( 9,44)(10,28)(11,17)(12,32)(13,33)(14,41)(15,19)
        (16,25)(18,40)(21,27)(22,26)(23,34)(24,35)(30,48)(42,43)(46,47) ], 
  [ (), ( 1,46)( 2,12)( 3,33)( 4,18)( 5,50)( 6,45)( 7,27)( 8,20)( 9,23)(10,19)
        (11,32)(13,40)(14,30)(15,49)(16,26)(17,34)(21,24)(22,36)(25,39)(29,37)
        (35,47)(38,48)(42,43) ], [ () ], 
  [ (11,16,36,40)(12,21,17,24)(13,48,23,34)(14,38,28,50)(15,42,45,18)
        (19,27,39,31)(20,29,41,33)(22,43,47,26)(30,37,49,35), 
      ( 9,44)(10,46)(11,26)(12,49)(13,14)(15,18)(16,47)(17,30)(19,31)(20,33)
        (21,37)(22,40)(23,28)(24,35)(25,32)(27,39)(29,41)(34,38)(36,43)(42,45)
        (48,50), ( 9,44)(10,46)(11,43)(12,30)(13,28)(14,23)(15,42)(16,22)
        (17,49)(18,45)(19,27)(20,29)(21,35)(24,37)(25,32)(26,36)(31,39)(33,41)
        (34,50)(38,48)(40,47), ( 1,19)( 2,15)( 3,45)( 4, 5)( 6,20)( 7,41)
        ( 8,39)(10,23)(11,30)(12,35)(13,25)(16,37)(17,26)(18,27)(21,49)(22,24)
        (31,42)(32,38)(36,47)(40,43)(46,50), 
      ( 1,32, 3,25)( 2,10, 8,46)( 4, 9, 5,44)(11,26,17,30)(12,49,36,43)
        (13,45,38,19)(14,31,34,42)(15,50,39,23)(16,22,24,37)(18,28,27,48)
        (21,35,40,47) ], 
  [ ( 7, 8)( 9,10)(11,32)(12,34)(13,39)(14,26)(16,29)(17,38)(18,30)(19,46)
        (20,49)(21,36)(22,42)(23,47)(24,33)(25,48)(27,40)(28,37)(31,45)(35,50)
        (41,43), ( 7, 8)( 9,43)(10,41)(11,23)(12,25)(13,20)(14,35)(15,44)
        (16,31)(17,19)(18,28)(21,27)(26,50)(29,45)(30,37)(32,47)(34,48)(36,40)
        (38,46)(39,49), ( 7,15)( 8,44)( 9,43)(11,20)(12,17)(13,23)(14,40)
        (16,30)(18,45)(19,25)(21,26)(22,42)(24,33)(27,50)(28,29)(31,37)(32,39)
        (34,46)(35,36)(38,48)(47,49), ( 2, 6)( 3, 5)( 7, 8)( 9,43)(10,41)
        (11,48)(12,47)(13,46)(14,45)(15,44)(16,50)(17,49)(18,40)(19,39)(20,38)
        (21,37)(22,42)(23,34)(24,33)(25,32)(26,31)(27,30)(28,36)(29,35), 
      ( 2,24)( 3,42)( 5,22)( 6,33)( 7,41)( 8,10)( 9,15)(11,49)(12,32)(13,46)
        (14,30)(16,31)(17,48)(19,34)(20,38)(21,29)(23,39)(25,47)(26,50)(27,45)
        (35,37)(43,44), ( 1, 4)( 2, 3)( 5, 6)(11,30)(12,36)(13,31)(14,19)
        (16,20)(17,35)(18,32)(21,34)(22,24)(23,37)(25,40)(26,46)(27,48)(28,47)
        (29,49)(33,42)(38,50)(39,45) ], 
  [ ( 1, 4)( 2, 5)( 3, 6)( 7, 8)( 9,46)(10,33)(11,48)(12,49)(13,14)(15,34)
        (16,17)(18,20)(19,25)(21,29)(22,37)(23,26)(24,28)(27,30)(35,42)(36,39)
        (38,44)(40,45)(41,50)(43,47), ( 1,11,14)( 2,38,32)( 3,21,33)( 4,12,16)
        ( 5,44,31)( 6,19,27)( 7,35,20)( 8,36,46)( 9,50,42)(10,37,25)(13,15,49)
        (17,34,48)(18,41,39)(22,29,30)(23,40,45)(24,28,43) ], [ () ], [ () ], 
  [ (), ( 1,45)( 2, 8)( 3,39)( 4,29)( 5, 7)( 6,17)( 9,48)(10,20)(11,47)(12,18)
        (13,49)(15,43)(19,24)(21,44)(22,50)(25,32)(26,40)(27,46)(28,38)(30,36)
        (31,35)(41,42), ( 1,48, 8)( 2, 9,45)( 3,49,29)( 4,13,39)( 5,16, 7)
        ( 6,33,17)(10,15,28)(11,32,19)(12,42,26)(14,46,27)(18,40,41)(20,38,43)
        (21,31,36)(22,50,37)(24,25,47)(30,35,44) ], 
  [ (), ( 1, 3)( 2, 4)( 5, 6)( 7,23)( 9,33)(10,46)(11,21)(12,45)(13,15)(14,30)
        (16,35)(17,28)(19,25)(20,26)(22,34)(24,29)(27,41)(31,50)(32,39)(36,47)
        (37,48)(38,44)(40,42)(43,49) ], 
  [ (), ( 1,17)( 3,24)( 4,43)( 5,28)( 6,35)( 8,22)( 9,42)(10,31)(11,29)(12,26)
        (15,44)(16,41)(19,21)(20,23)(25,48)(27,39)(30,34)(32,49)(36,47)(37,50)
        (38,45) ], 
  [ (), ( 1, 2)( 3, 4)( 7,16)( 8, 9)(10,35)(11,24)(12,29)(14,39)(15,22)(17,38)
        (18,42)(19,25)(20,34)(26,36)(28,47)(30,49)(31,45)(37,43)(40,50) ], 
  [ () ], [ () ], [ () ], [ () ], 
  [ (), ( 2,42)( 3,50)( 4,26)( 5,31)( 6,19)( 7,34)( 8,47)( 9,21)(10,39)(11,27)
        (12,33)(13,40)(15,35)(17,23)(18,44)(20,49)(22,30)(24,45)(25,48)(28,36)
        (29,32)(37,46), ( 1,43)( 2,11)( 3,39)( 4, 9)( 5,25)( 6,44)( 7,40)
        ( 8,29)(10,50)(12,45)(13,34)(14,41)(15,46)(16,38)(17,23)(18,19)(20,49)
        (21,26)(22,30)(24,33)(27,42)(28,36)(31,48)(32,47)(35,37) ], 
  [ (), ( 1,14)( 3,50)( 4,17)( 5,15)( 6,23)( 8,28)( 9,32)(10,49)(11,42)(13,27)
        (16,33)(18,25)(19,24)(20,46)(21,36)(22,47)(26,40)(29,35)(30,48)(31,39)
        (34,38)(43,45) ], 
  [ (), ( 1,29)( 2, 6)( 3,36)( 4,14)( 7,47)( 8,17)( 9,50)(10,45)(11,12)(15,37)
        (19,32)(20,21)(22,44)(23,25)(24,27)(26,28)(30,49)(31,43)(33,46)(34,35)
        (38,41)(39,42)(40,48) ], 
  [ (), ( 2, 5)( 3, 4)( 6,38)( 7,50)( 8,43)(10,31)(11,39)(13,35)(15,42)(16,41)
        (17,18)(19,37)(21,27)(22,46)(23,24)(26,44)(28,40)(30,49)(32,36)(33,34)
        , ( 1,45)( 2,33)( 5,34)( 6,43)( 7,49)( 8,38)( 9,29)(10,13)(11,42)
        (12,20)(14,25)(15,39)(16,41)(19,37)(21,27)(22,44)(26,46)(28,40)(30,50)
        (31,35)(47,48) ], [ () ], 
  [ (), ( 2,15)( 3,27)( 4,50)( 5,45)( 6,41)( 7,47)( 8,13)( 9,32)(10,43)(11,46)
        (12,31)(14,20)(16,24)(17,19)(18,36)(21,38)(22,34)(30,35)(33,48)(37,40)
        (39,44)(42,49) ], 
  [ (), ( 1,47)( 2,48)( 3,15)( 4,22)( 5,30)( 6,26)( 7,27)( 8,35)(10,37)(11,43)
        (12,24)(13,17)(14,32)(16,41)(18,38)(19,25)(20,31)(21,33)(23,28)(29,40)
        (34,49)(39,45)(42,44)(46,50) ], 
  [ (), ( 1,10,47)( 2, 9,11)( 3,50,36)( 4,45,23)( 5,26,13)( 6,16,38)( 7, 8,28)
        (12,46,32)(14,39,33)(15,20,25)(17,30,42)(18,35,34)(19,37,22)(24,41,31)
        (27,48,49)(29,43,44), ( 1,26)( 2, 9)( 3,45)( 4,50)( 5,10)( 6,49)
        ( 7,30)( 8,17)(12,43)(13,47)(14,22)(15,41)(16,48)(19,33)(20,24)(23,36)
        (25,31)(27,38)(28,42)(29,46)(32,44)(34,35)(37,39) ], [ () ], 
  [ (), ( 1,36,35,11)( 2,23,41, 9)( 3,37,17,21)( 4,44,33,16)( 5,31)( 6,49)
        ( 7,34,32,22)( 8,47,46,13)(10,28,27,24)(12,29)(14,26,40,45)
        (15,25,30,50)(18,20,43,19)(38,42,39,48) ], 
  [ (), ( 7, 8)( 9,38)(10,12)(11,16)(13,23)(14,34)(15,24)(17,30)(18,19)(20,33)
        (22,43)(25,27)(26,49)(28,41)(40,44)(42,45)(46,50), 
      ( 1, 4)( 2,37)( 3,29)( 5,36)( 6,21)( 7, 8)( 9,15)(10,25)(12,27)(13,42)
        (14,33)(17,30)(18,50)(19,46)(20,34)(23,45)(24,38)(28,41)(31,48)(32,35)
        (39,47) ], [ () ], [ () ], [ () ], 
  [ (), ( 1,26)( 2,50)( 4,35)( 5,28)( 6,46)( 7, 8)(10,34)(12,25)(13,31)(14,27)
        (16,21)(18,42)(20,39)(22,47)(23,43)(29,41)(30,40)(32,33)(36,48)
        (37,44) ], 
  [ (), ( 1,35,26)( 2,28,40)( 3,25,10)( 4,12,50)( 5,19,14)( 6,32,48)( 7,16,11)
        ( 8,44,38)( 9,29,33)(13,24,36)(15,30,42)(17,37,34)(20,31,21)(22,45,39)
        (23,41,46)(43,47,49) ], 
  [ (), ( 1,39,22)( 2,15,44)( 3,38,41)( 4,27,20)( 5,34,47)( 6,25,49)( 7,32,43)
        ( 8,35,40)( 9,12,50)(10,17,18)(11,26,30)(13,31,16)(14,23,36)(19,29,46)
        (21,45,28)(24,33,48) ], 
  [ (), ( 1,25)( 3, 8)( 4,46)( 5,48)( 7,13)( 9,44)(10,35)(11,32)(12,42)(14,23)
        (15,27)(16,31)(17,19)(18,39)(20,38)(21,33)(22,50)(26,37)(28,47)(29,41)
        (34,49)(36,43)(40,45) ], 
  [ (), ( 1, 4)( 2, 5)( 3, 6)( 7,16)( 8, 9)(10,39)(11,32)(13,46)(14,21)(15,44)
        (18,47)(19,23)(20,27)(22,45)(24,31)(25,37)(26,40)(28,50)(29,41)(30,43)
        (33,34)(35,48)(36,49) ], 
  [ (), ( 1, 2)( 3, 4)( 7,22)( 8, 9)(10,24)(11,44)(12,27)(13,40)(14,23)(15,35)
        (16,39)(17,31)(18,21)(19,26)(25,43)(29,36)(30,37)(34,41)(45,46)
        (48,49) ], 
  [ (), ( 1,12)( 2, 5)( 3,44)( 4,39)( 6,29)( 7,11)( 8,25)( 9,43)(10,36)(13,35)
        (14,34)(15,42)(16,21)(17,20)(18,49)(19,23)(24,48)(26,40)(27,38)(28,32)
        (30,33)(37,46)(45,47), 
      ( 1,23,30, 7,36,43)( 2,32,49)( 3, 4,15, 6, 8,45)( 5,18,28)
        ( 9,10,11,33,19,12)(13,35)(14,46,37,34,48,24)(16,38,31,27,21,41)
        (17,26)(20,40)(22,50)(25,29,42,39,44,47) ], 
  [ ( 1,37)( 2,13)( 3, 7)( 5,10)( 6,30)( 8,34)( 9,25)(11,31)(12,50)(14,26)
        (15,29)(16,21)(17,28)(19,40)(22,27)(23,41)(32,49)(33,38)(46,48) ], 
  [ () ], [ () ], 
  [ (), ( 2, 5)( 3, 4)( 6,25)( 7,50)( 8,24)( 9,11)(12,37)(13,16)(14,18)(17,40)
        (19,43)(20,33)(21,46)(23,44)(27,34)(29,49)(30,41)(31,45)(35,36)(39,47)
        (42,48), ( 1,28)( 2,35)( 3,29)( 4,49)( 5,36)( 6,47)( 7,46)( 8,24)
        ( 9,11)(10,15)(12,13)(16,37)(17,23)(20,48)(21,50)(25,39)(26,38)(27,30)
        (31,45)(33,42)(34,41)(40,44) ], 
  [ (), ( 2, 5)( 3, 4)( 6,47)( 7,25)( 8,36)( 9,41)(10,26)(11,12)(13,30)(14,29)
        (15,50)(16,43)(17,44)(18,33)(19,38)(20,48)(21,49)(23,40)(24,32)(27,37)
        (28,39)(31,34)(35,42)(45,46), ( 2,29,42, 9)( 3,36,48,16)( 4,43,20, 8)
        ( 5,41,35,14)( 6,47,19,38)( 7,25,18,33)(10,37,15,21)(11,39,44,40)
        (12,23,17,28)(13,46,45,30)(24,32,34,31)(26,49,50,27), 
      ( 2,41)( 3,28)( 4,39)( 5, 9)( 6,46)( 7,18)( 8,11)(10,26)(12,36)(13,38)
        (14,42)(15,50)(16,17)(19,30)(20,40)(21,27)(23,48)(24,34)(25,33)(29,35)
        (31,32)(37,49)(43,44)(45,47) ], 
  [ (), ( 1,39)( 2,29)( 3,12)( 4,20)( 5,50)( 6,35)( 8,30)( 9,31)(10,19)(11,41)
        (13,17)(14,42)(16,33)(18,25)(21,38)(22,32)(23,45)(24,27)(26,43)(28,48)
        (36,40)(37,44)(47,49) ], 
  [ (), ( 1,43)( 2,39)( 3,28)( 4,36)( 5,15)( 6,10)( 7,50)( 8,27)( 9,46)(11,17)
        (12,25)(13,29)(14,41)(16,31)(18,35)(19,42)(20,45)(21,40)(22,44)(23,37)
        (24,32)(26,33)(38,48)(47,49) ], 
  [ (), ( 1,14)( 2,12)( 3,45)( 4,43)( 5,47)( 6,36)( 7,20)( 8,33)( 9,18)(10,34)
        (11,21)(13,15)(16,17)(19,48)(22,49)(23,30)(24,42)(25,26)(27,37)(29,35)
        (31,41)(32,50)(39,46), ( 1,25)( 2,10)( 3,15)( 4,42)( 5,29)( 6,11)
        ( 7,23)( 8,18)( 9,33)(12,34)(13,45)(14,26)(16,19)(17,48)(20,30)(21,36)
        (22,49)(24,43)(35,47)(40,44), ( 1,30)( 2,21)( 3, 9)( 4,35)( 5,13)
        ( 6,26)( 7,24)( 8,34)(10,36)(11,14)(12,18)(15,33)(16,22)(17,44)(19,49)
        (20,25)(23,43)(29,45)(31,32)(37,50)(40,48)(41,46)(42,47), 
      ( 1,34)( 2,13)( 3,24)( 4,26)( 5,30)( 6, 9)( 7,21)( 8,35)(10,45)(11,33)
        (12,25)(14,42)(15,43)(16,19)(18,47)(20,29)(22,44)(23,36)(27,41)(31,46)
        (32,37)(39,50)(40,49), 
      ( 1,47,42,30, 3,36,10, 9)( 2,33,25,35, 4,20,15,21)( 5,14,18,34, 6,45,23,
         24)( 7,43,29,26, 8,12,11,13)(16,40,17,49,19,44,48,22)(27,37,32,41,39,
         46,31,50) ], 
  [ (), ( 2,28)( 3,35)( 4,34)( 5,42)( 6,49)( 7,50)( 8,47)( 9,38)(11,16)(12,26)
        (13,23)(14,33)(15,40)(17,24)(19,43)(20,37)(22,39)(25,27)(29,48)(31,36)
        (32,46)(44,45) ], 
  [ (), ( 1,49)( 2,20)( 3,19)( 4,42)( 5,34)( 6,36)( 8, 9)(11,31)(12,41)(14,21)
        (15,30)(16,50)(18,48)(22,33)(23,27)(26,38)(29,40)(32,47)(39,45)
        (44,46) ], 
  [ (), ( 2,39)( 3,19)( 4,40)( 5,25)( 6,18)( 7,46)( 8,21)( 9,13)(10,27)(11,35)
        (12,33)(14,24)(15,41)(16,44)(17,30)(23,34)(28,45)(29,38)(31,36)(37,49)
        (42,47)(48,50), ( 1,26)( 2,16)( 3,37)( 5,34)( 6,33)( 7,30)( 9,36)
        (10,38)(11,47)(12,18)(13,31)(14,45)(17,46)(19,49)(20,32)(23,25)(24,28)
        (27,29)(35,42)(39,44)(48,50) ], 
  [ (), ( 1,45)( 2,20)( 3,13)( 4,22)( 5,43)( 6,34)( 7,10)( 8,35)( 9,24)(11,42)
        (12,41)(14,36)(15,40)(17,32)(18,49)(19,47)(21,23)(25,37)(26,33)(27,50)
        (28,48)(29,31)(38,39)(44,46) ], [ () ], 
  [ (), ( 1, 7)( 2,43)( 3,35)( 4,29)( 5,22)( 6,12)( 9,47)(10,50)(11,19)(13,32)
        (14,25)(15,41)(17,28)(18,27)(20,48)(21,39)(23,45)(24,26)(30,40)(31,44)
        (36,38) ], 
  [ ( 6,26,37,27)( 7, 8,44,34)( 9,40,39,24)(11,23,28,19)(13,50,32,33)
        (16,30,42,31)(17,46,21,18)(25,36,43,45), 
      ( 2,49)( 3,20)( 4,38)( 5,48)( 6,26)( 7,18)( 8,21)( 9,40)(10,22)(11,19)
        (12,47)(13,50)(16,42)(17,34)(23,28)(24,39)(25,45)(27,37)(32,33)(36,43)
        (44,46), ( 1,15)( 3,48)( 5,20)( 6,43)( 8,34)( 9,50)(10,12)(11,23)
        (13,40)(17,21)(19,28)(22,47)(24,32)(25,37)(26,36)(27,45)(29,35)(30,31)
        (33,39) ], [ () ], 
  [ ( 7, 9)( 8,10)(11,38)(13,26)(14,47)(15,28)(16,22)(17,42)(18,25)(20,45)
        (23,48)(24,35)(27,33)(30,41)(31,34)(32,46)(43,44), 
      ( 3,40)( 4,29)( 5,12)( 6,49)( 7, 9)(11,38)(13,26)(14,27)(15,46)(16,44)
        (17,30)(18,25)(20,34)(21,39)(22,43)(23,24)(28,32)(31,45)(33,47)(35,48)
        (37,50)(41,42), ( 1, 5)( 2, 3)( 4, 6)( 7, 9)(11,46)(12,36)(13,26)
        (14,27)(15,18)(16,44)(17,35)(19,40)(20,34)(21,29)(22,43)(23,30)(24,42)
        (25,28)(31,45)(32,38)(33,47)(37,49)(39,50)(41,48), 
      ( 1,36)( 2,19)( 4,37)( 6,21)( 7, 9)(11,18)(13,26)(14,27)(15,28)(16,44)
        (17,41)(20,34)(22,43)(23,35)(24,48)(25,38)(29,50)(30,42)(31,45)(32,46)
        (33,47)(39,49) ], 
  [ (), ( 1, 4)( 2,45)( 3,30)( 5,20)( 6,23)( 7, 9)( 8,27)(10,50)(11,19)(12,35)
        (13,36)(14,40)(16,29)(17,34)(21,39)(22,24)(28,38)(31,47)(32,43)(33,46)
        (41,44) ], 
  [ (), ( 1, 4)( 2, 5)( 3, 6)( 8,10)(11,33)(13,48)(14,37)(16,26)(17,39)(19,22)
        (21,36)(23,34)(24,50)(25,43)(27,47)(28,31)(29,46)(30,38)(32,40)(35,44)
        (41,49) ], 
  [ ( 9,10,14)(11,20,36)(12,21,31)(13,22,32)(15,23,33)(16,18,34)(17,19,35)
        (24,50,41)(25,44,42)(26,45,43)(27,46,37)(28,47,38)(29,48,39)(30,49,40)
        , ( 9,14,10)(11,36,20)(12,31,21)(13,32,22)(15,33,23)(16,34,18)
        (17,35,19)(24,41,50)(25,42,44)(26,43,45)(27,37,46)(28,38,47)(29,39,48)
        (30,40,49), ( 2, 6)( 3, 5)( 9,14)(12,17)(13,22)(15,33)(18,34)(19,31)
        (20,36)(21,35)(24,48)(25,43)(26,42)(28,40)(29,50)(30,38)(37,46)(39,41)
        (44,45)(47,49), ( 1,17, 2,27, 6,12)( 3,32, 5,49, 4,47)( 7,10)( 8,23)
        ( 9,14)(11,45,44)(13,28,40,22,38,30)(15,33)(16,39,41)(18,43,24,20,29,
         42)(19,31,46,35,21,37)(25,34,26,50,36,48), 
      ( 1,27)( 2,12)( 3,49)( 4,32)( 5,47)( 6,17)( 7,10)( 8,23)( 9,14)(13,22)
        (15,33)(18,20)(19,35)(21,31)(24,42)(25,50)(26,48)(28,38)(29,43)(30,40)
        (34,36)(37,46) ], 
  [ (), ( 1,22)( 3,34)( 4,26)( 5,16)( 6,48)( 7,25)( 9,13)(10,44)(11,36)(12,43)
        (14,20)(15,31)(17,38)(18,21)(19,46)(23,32)(24,41)(27,45)(28,35)(29,50)
        (30,42)(33,37)(39,40)(47,49) ], 
  [ ( 6,11)( 7, 8)(10,25)(12,16)(13,30)(14,34)(17,27)(18,36)(20,42)(21,31)
        (22,45)(23,40)(24,47)(26,49)(28,48)(29,39)(32,35)(37,41)(38,46)
        (43,50) ], 
  [ (), ( 1,29, 6,26)( 4,24, 5,50)( 7,28, 8,47)( 9,36,23,14)(10,18,27,34)
        (11,48,45,44)(12,21,41,40)(13,16,25,19)(15,20,33,17)(22,32,43,42)
        (30,31,37,46)(35,49,39,38), ( 1,44, 6,48)( 4,32, 5,42)( 7,40, 8,21)
        ( 9,19,23,16)(10,35,27,39)(11,29,45,26)(12,28,41,47)(13,36,25,14)
        (15,46,33,31)(17,30,20,37)(18,38,34,49)(22,50,43,24) ], 
  [ (), ( 1,48,32, 8)( 3,36,37,11)( 4,25,15,42)( 5, 9,49,28)( 6,23,44,10)
        ( 7,35,20,34)(12,24,40,14)(13,39,38,43)(16,21,27,50)(17,45,46,29)
        (18,30,26,47)(19,31,41,22) ], 
  [ (), ( 1, 6)( 2,48)( 3, 9)( 4,12)( 5,11)( 7,38)( 8,43)(10,40)(13,31)(14,24)
        (15,35)(16,28)(17,42)(18,39)(21,44)(22,30)(23,27)(25,36)(26,45)(29,50)
        (32,46)(33,34)(47,49), ( 1,25)( 2,27)( 3,47)( 4,11)( 5,12)( 6,36)
        ( 8,29)( 9,49)(10,16)(13,31)(14,42)(15,30)(17,24)(18,32)(20,41)(21,26)
        (22,35)(23,48)(28,40)(39,46)(43,50)(44,45) ], 
  [ (), ( 1,30)( 2,34)( 3,24)( 4,47)( 5,22)( 6,32)( 7,43)( 8,31)( 9,36)(10,23)
        (11,38)(12,17)(13,46)(14,16)(15,19)(20,44)(21,40)(25,35)(26,45)(27,48)
        (37,50)(39,49)(41,42) ], 
  [ (), ( 1,49)( 2,42)( 3,20)( 4,15)( 5,12)( 6,36)( 7,11)( 8,41)( 9,17)(10,26)
        (13,21)(14,45)(16,35)(22,23)(24,32)(25,33)(28,47)(29,37)(30,31)(34,38)
        (39,40)(43,44)(46,50) ], 
  [ ( 1,41, 8,40)( 2,46, 4,35)( 3, 7, 6, 5)( 9,21,16,43)(10,14,15,26)
        (11,34,23,44)(12,47,37,17)(13,39,25,50)(18,30,31,22)(19,48,32,29)
        (20,24,45,36)(27,42,49,28)(33,38), ( 1,46)( 2,41)( 3, 6)( 4,40)( 8,35)
        ( 9,47)(10,48)(11,25)(12,21)(13,23)(14,19)(15,29)(16,17)(18,22)(24,36)
        (26,32)(27,28)(30,31)(34,39)(37,43)(42,49)(44,50) ], 
  [ (), ( 2,26)( 3,11)( 4,33)( 5,32)( 6,50)( 7,31)( 8,12)( 9,28)(10,22)(13,29)
        (15,20)(17,45)(18,40)(19,35)(24,41)(25,47)(30,38)(37,49)(39,48) ], 
  [ (), ( 1,16)( 2,15)( 3,45)( 4,40)( 6,50)( 7,23)( 8,31)( 9,36)(10,22)(11,28)
        (12,41)(13,25)(14,39)(17,20)(18,19)(24,34)(26,44)(27,42)(29,46)(30,35)
        (32,37)(33,38)(47,48) ], 
  [ ( 1,16)( 2,34)( 3,47)( 4,26)( 5,29)( 6,10)( 7,32)( 8,25)( 9,30)(11,33)
        (12,35)(13,42)(14,45)(15,48)(17,18)(19,36)(20,38)(21,39)(22,27)(23,37)
        (24,40)(28,31)(46,50), ( 1,17)( 2, 8)( 3,21)( 4,50)( 5,48)( 6, 7)
        ( 9,14)(10,32)(11,23)(12,40)(13,19)(15,29)(16,18)(20,27)(22,38)(24,35)
        (25,34)(26,46)(30,45)(33,37)(36,42)(39,47)(43,49), 
      ( 1,35)( 2,37)( 3,13)( 5,38)( 6,45)( 7,14)( 8,23)( 9,32)(10,30)(11,25)
        (12,17)(15,27)(16,24)(18,40)(19,47)(20,48)(21,42)(22,29)(26,50)(28,49)
        (31,43)(33,34)(36,39), ( 1,45,18, 9)( 2,50,25,26)( 3,22,39,20)
        ( 4,23,46,33)( 5,42,15,19)( 6,27,32,38)( 7,24,10,12)( 8,31,34,28)
        (11,43,37,49)(13,35,36,40)(14,29,30,48)(16,47,17,21), 
      ( 1,48)( 2,23)( 3, 6)( 4,43)( 5,40)( 7,36)( 8,34)( 9,21)(10,13)(12,27)
        (14,19)(15,35)(16,20)(17,22)(18,29)(24,38)(25,33)(26,31)(28,50)(30,42)
        (32,39)(45,47)(46,49) ], 
  [ (), ( 1,37)( 3,20)( 4, 8)( 5,22)( 6,35)( 7,36)( 9,12)(11,41)(13,43)(15,24)
        (16,38)(17,47)(18,45)(19,50)(25,32)(26,48)(27,30)(28,29)(31,42)(33,46)
        (34,49)(40,44) ], [ () ], 
  [ (), (11,22,25,46)(12,18,40,30)(13,32,42,23)(15,37,20,50)(17,29,38,19)
        (31,36,49,39), (11,46,25,22)(12,30,40,18)(13,23,42,32)(15,50,20,37)
        (17,19,38,29)(31,39,49,36), ( 9,45)(10,44)(11,13)(12,37)(14,47)(15,18)
        (16,48)(17,39)(19,31)(20,30)(21,41)(22,23)(24,43)(25,42)(26,33)(27,34)
        (28,35)(29,49)(32,46)(36,38)(40,50), 
      ( 9,45)(10,44)(11,42)(12,50)(13,25)(14,47)(15,30)(16,48)(17,36)(18,20)
        (19,49)(21,41)(22,32)(23,46)(24,43)(26,33)(27,34)(28,35)(29,31)(37,40)
        (38,39), ( 2, 5, 7, 6, 3, 8)( 9,28,24,48,33,44)(10,45,35,43,16,26)
        (11,50,36,23,40,19,46,20,31,42,18,38,25,37,39,32,12,29,22,15,49,13,30,
         17)(14,27,21,47,34,41), 
      ( 1, 4)( 3, 7)( 5, 8)( 9,10)(11,42,22,23,25,13,46,32)(12,29,18,38,40,19,
         30,17)(14,27)(15,49,37,39,20,31,50,36)(16,24)(21,41)(26,28)(33,35)
        (34,47)(43,48)(44,45) ], 
  [ ( 4,19)( 5,23)( 6,41)( 7,27)( 8,47)( 9,50)(10,16)(11,42)(12,46)(13,22)
        (14,34)(17,48)(18,21)(20,45)(24,30)(25,38)(26,49)(28,37)(29,32)(31,33)
        (39,40), ( 1,36)( 2,44)( 3,35)( 4,12)( 5,42)( 6,41)( 7,34)( 8,32)
        ( 9,50)(10,30)(11,23)(13,22)(14,27)(15,43)(16,24)(17,48)(18,33)(19,46)
        (20,28)(21,31)(25,26)(29,47)(37,45)(38,49) ], 
  [ (), ( 1, 9)( 2,15)( 3,31)( 4,48)( 6,29)( 7,47)( 8,34)(11,14)(12,18)(13,39)
        (16,49)(19,45)(20,25)(23,24)(26,28)(27,40)(30,50)(32,42)(33,44)(35,37)
        (38,41)(43,46) ], 
  [ (), ( 3,18)( 4,31)( 5,44)( 6,11)( 7,41)( 8,19)( 9,34)(12,20)(16,40)(17,45)
        (21,30)(22,43)(23,46)(24,26)(25,32)(28,38)(29,33)(35,37)(42,50)(47,48)
        , ( 2,14)( 3, 7)( 4,46)( 5,42)( 6,32)( 8,17)( 9,29)(11,25)(12,30)
        (15,49)(16,22)(18,41)(19,45)(20,21)(23,31)(24,26)(27,39)(28,38)(33,34)
        (40,43)(44,50), ( 1,36)( 2,27)( 3,22)( 4, 6)( 5,21)( 7,16)( 8,19)
        ( 9,34)(10,13)(11,31)(12,50)(14,39)(15,49)(17,45)(18,43)(20,42)(23,25)
        (29,33)(30,44)(32,46)(40,41) ], 
  [ ( 7,38,24, 9)( 8,21,35,22)(10,11,20,27)(12,46,33,45)(14,39,18,41)
        (16,50,37,49)(19,29,36,26), ( 2,32)( 3,42)( 4,44)( 6,17)( 7,33)( 8,16)
        ( 9,45)(10,26)(11,36)(12,24)(13,30)(14,18)(15,43)(19,27)(20,29)(21,49)
        (22,50)(23,34)(28,47)(31,48)(35,37)(38,46), 
      ( 1,34, 4,15,43,44,23)( 2,31,48,32,28, 5,47)( 3,42,30, 6,40,17,13)
        ( 7,22,19,39,27,50,33,38, 8,29,18,10,37,45,24,21,36,41,11,49,12, 9,35,
         26,14,20,16,46), ( 1,40)( 3,15)( 4,13)( 6,23)( 9,38)(10,20)(17,34)
        (21,22)(26,29)(30,44)(39,41)(42,43)(45,46)(49,50), 
      ( 1,42,34,30, 4, 6,15,40,43,17,44,13,23, 3)( 2,28,31, 5,48,47,32)
        ( 7,27, 8,37,36,12,14)( 9,10,22,49,29,46,41,38,20,21,50,26,45,39)
        (11,35,16,19,33,18,24), 
      ( 1,49, 7,23,10,12,44,39,37,43,26,27,15,21,14, 4,38,36,34,46, 8)
        ( 2,48,28,47,31,32, 5)( 3,22,18,13, 9,19,17,45,35,40,50,24, 6,20,33,
         30,41,16,42,29,11) ], 
  [ (), ( 2,50)( 3,10)( 4,41)( 5,16)( 6,31)( 7,17)( 8,34)( 9,45)(11,12)(14,42)
        (15,33)(18,22)(19,47)(20,23)(21,26)(25,49)(27,38)(28,36)(29,39)(32,40)
        (35,46)(37,48)(43,44), ( 1,24)( 2,35)( 3,31)( 4,41)( 6,10)( 7,39)
        ( 8,36)( 9,47)(11,44)(12,43)(14,23)(15,37)(17,29)(18,40)(19,45)(20,42)
        (22,32)(25,49)(27,38)(28,34)(33,48)(46,50) ], 
  [ (), ( 1,16,37)( 2, 9,44)( 3,50,18)( 4, 8,36)( 5,14,32)( 6,46, 7)(10,17,26)
        (11,21,39)(12,27,29)(13,15,48)(19,24,34)(20,45,40)(22,25,35)(28,42,43)
        (31,47,38)(33,49,41) ], 
  [ ( 7, 8)( 9,10)(11,48)(12,19)(13,17)(15,35)(16,24)(18,37)(20,34)(21,36)
        (22,25)(23,30)(26,39)(27,45)(28,40)(29,42)(31,47)(32,46)(33,41)(38,49)
        (43,50), ( 7, 8)( 9,47)(10,31)(12,38)(13,43)(14,44)(15,27)(16,32)
        (17,50)(19,49)(20,26)(21,28)(22,33)(23,29)(24,46)(25,41)(30,42)(34,39)
        (35,45)(36,40), ( 1, 5)( 2, 3)( 4, 6)( 7,44, 8,14)( 9,41,47,25)
        (10,22,31,33)(11,18)(12,29,38,23)(13,39,43,34)(15,45,27,35)
        (16,40,32,36)(17,20,50,26)(19,30,49,42)(21,46,28,24)(37,48) ], 
  [ (), ( 1, 7)( 2,18)( 3,48)( 4,28)( 5,32)( 6,14)( 8,25)( 9,38)(10,30)(11,15)
        (12,44)(13,42)(16,45)(17,29)(19,41)(20,27)(21,22)(23,26)(24,43)(34,39)
        (35,46)(36,40)(37,50)(47,49), ( 1,15)( 2,12)( 3,23)( 4, 9)( 5,13)
        ( 6,16)( 7,11)( 8,22)(10,20)(14,45)(17,40)(18,44)(19,47)(21,25)(24,37)
        (26,48)(27,30)(28,38)(29,36)(31,33)(32,42)(34,39)(41,49)(43,50), 
      ( 1,49)( 2,50)( 4, 9)( 5,22)( 6,30)( 7,19)( 8,13)(10,45)(11,47)(12,43)
        (14,20)(15,41)(16,27)(18,24)(21,42)(25,32)(26,48)(29,36)(31,39)(33,34)
        (37,44) ], 
  [ (), ( 1,11)( 2,21)( 3,27)( 4,35)( 5,23)( 6,14)( 8,34)( 9,40)(10,47)(12,38)
        (15,45)(16,28)(17,48)(18,32)(19,31)(20,29)(22,46)(24,37)(25,33)(26,41)
        (30,49)(36,42)(39,50)(43,44), ( 1,36)( 2,26)( 3, 4)( 5,23)( 6,33)
        ( 7,13)( 8,31)( 9,44)(10,37)(11,42)(12,50)(14,25)(15,29)(16,30)(18,46)
        (19,34)(20,45)(21,41)(22,32)(24,47)(27,35)(28,49)(38,39)(40,43), 
      ( 1,45,11,15)( 2,28,21,16)( 3,47,27,10)( 4,37,35,24)( 5,17,23,48)
        ( 6,39,14,50)( 7,13)( 8, 9,34,40)(12,25,38,33)(18,22,32,46)
        (19,44,31,43)(20,36,29,42)(26,30,41,49) ], 
  [ (), ( 1,22)( 2,32)( 3,28)( 6,39)( 7,25)( 8,14)( 9,34)(10,12)(11,23)(15,33)
        (16,45)(17,48)(18,26)(20,30)(21,41)(24,42)(27,38)(29,36)(31,47)(35,49)
        (37,50)(40,46), ( 1,31)( 3,28)( 4,44)( 5,43)( 6,39)( 7,50)( 8,23)
        ( 9,34)(11,14)(13,19)(15,17)(16,26)(18,45)(20,41)(21,30)(22,47)(24,36)
        (25,37)(29,42)(33,48)(40,46) ], 
  [ (), ( 1, 9)( 2,29)( 3,40)( 5, 7)( 6,35)( 8,25)(10,20)(11,49)(12,16)(13,45)
        (14,19)(15,17)(18,27)(21,31)(22,34)(23,50)(24,33)(26,30)(28,46)(32,43)
        (36,37)(39,44)(41,47)(42,48), ( 1,15)( 2, 7)( 4,38)( 5,29)( 6, 8)
        ( 9,17)(10,18)(11,50)(12,21)(13,46)(14,22)(16,31)(19,34)(20,27)(23,49)
        (25,35)(28,45)(32,41)(36,42)(37,48)(39,44)(43,47) ], 
  [ ( 7,39)( 8,20)( 9,41)(10,47)(11,15)(12,16)(13,18)(14,45)(17,49)(19,29)
        (23,25)(24,33)(27,37)(28,40)(31,34)(35,36)(38,48)(43,50), 
      ( 1, 5)( 2, 3)( 4, 6)( 7,36)( 8, 9)(10,31)(11,13)(12,40)(14,27)(15,18)
        (16,28)(17,33)(19,43)(20,41)(23,48)(24,49)(25,38)(29,50)(30,46)(34,47)
        (35,39)(37,45)(42,44) ], 
  [ (), ( 1, 8)( 2,16)( 4,47)( 5,23)( 6,27)( 9,28)(10,12)(11,15)(13,46)(14,22)
        (17,35)(18,41)(19,44)(20,42)(21,32)(24,39)(25,29)(26,45)(30,48)(31,34)
        (33,50)(36,37)(38,43), ( 1,38,27,32)( 2,25,10,18)( 4,28)( 5,36,11,17)
        ( 6,43, 8,21)( 7,40)( 9,47)(12,29,16,41)(13,19,39,22)(14,24,44,46)
        (15,37,23,35)(20,30,34,33)(26,45)(31,48,42,50) ], 
  [ (), ( 1,49)( 2,45)( 3,13)( 4,35)( 5,37)( 6,23)( 7,31)( 8,41)( 9,17)(10,26)
        (11,50)(12,16)(14,32)(15,36)(18,42)(19,24)(20,43)(21,30)(22,40)(25,33)
        (28,44)(34,38) ], 
  [ (), ( 1,12)( 2,20)( 3,13)( 4,42)( 5, 8)( 6,14)( 7,24)( 9,18)(10,47)(11,15)
        (16,48)(17,21)(19,22)(23,32)(25,43)(26,39)(27,46)(28,50)(29,33)(30,44)
        (31,41)(34,49)(36,40)(37,38), ( 1,14,18,11)( 2,16,48,20)( 3,10,47,13)
        ( 4,22,25,17)( 5,50)( 6,12,15, 9)( 7,29,33,24)( 8,28)(19,42,21,43)
        (23,31,38,39)(26,37,41,32)(27,46)(30,45,44,35)(34,49)(36,40), 
      ( 1,18)( 2,48)( 3,47)( 4,25)( 6,15)( 7,33)( 9,12)(10,13)(11,14)(16,20)
        (17,22)(19,21)(23,38)(24,29)(26,41)(30,44)(31,39)(32,37)(35,45)
        (42,43) ], 
  [ (), ( 1,20,17)( 2, 3,14)( 4,25,36)( 5,24,32)( 6,35,46)( 7,12,19)( 8,27,10)
        ( 9,50,42)(11,33,34)(13,37,23)(15,31,26)(16,45,44)(18,40,28)(21,47,29)
        (22,43,39)(30,49,41), ( 1,24,41)( 2,14,36)( 3,25, 4)( 5,27,30)
        ( 6,35,38)( 7,12,48)( 8,20,49)( 9,28,44)(10,32,17)(11,47,21)(13,43,22)
        (15,16,40)(18,42,31)(23,37,39)(26,50,45)(29,34,33) ], 
  [ (), ( 1,19)( 2,27)( 6,29)( 7,15)( 8,44)( 9,32)(10,26)(11,17)(12,30)(13,50)
        (14,22)(18,20)(21,48)(23,35)(24,33)(25,47)(28,43)(31,38)(36,49)(37,46)
        (39,40)(42,45) ], 
  [ (), ( 2, 9)( 3,27)( 4,15)( 5,30)( 6,40)( 7,48)( 8,28)(10,18)(12,36)(13,16)
        (14,20)(17,26)(19,35)(21,34)(22,42)(23,25)(29,45)(31,47)(32,41)(33,37)
        (43,46)(49,50) ], [ () ], 
  [ (), ( 1, 3)( 2, 4)( 5, 6)( 9,31)(10,25)(11,24)(12,43)(13,33)(14,42)(15,27)
        (16,49)(17,37)(18,21)(19,48)(20,29)(22,35)(23,50)(26,28)(30,36)(32,41)
        (34,38)(39,40)(44,47) ], 
  [ (), ( 1,47)( 2,17)( 4,27)( 5,35)( 6,33)( 7,11)( 8,31)( 9,28)(10,22)(13,25)
        (14,37)(15,29)(16,30)(19,26)(20,34)(21,39)(40,42)(41,43)(44,46)(45,49)
        (48,50) ], 
  [ (), ( 3, 8)( 4, 7)( 5, 6)( 9,34)(10,17)(11,48)(12,31)(13,33)(14,46)(15,36)
        (16,50)(18,49)(19,40)(20,39)(23,41)(24,35)(25,45)(26,44)(27,47)(28,38)
        (29,37)(30,32), ( 1, 3)( 2, 8)( 4, 5)( 9,34)(10,24)(11,25)(12,31)
        (13,17)(14,23)(15,44)(16,41)(18,29)(19,49)(20,46)(26,48)(27,35)(28,38)
        (30,40)(32,37)(33,47)(36,45)(39,50), ( 1, 6, 3, 4, 2, 7, 8, 5)( 9,12)
        (10,45,13,11,47,26,35,15)(14,39,20,46,50,23,41,16)(17,36,24,44,27,48,
         33,25)(18,32,19,40,30,49,37,29)(21,42)(22,43)(28,38)(31,34) ], 
  [ (), ( 1,48)( 2,18)( 3,40)( 4,37)( 5,47)( 6,10)( 7,29)( 8,13)( 9,39)(11,21)
        (12,19)(14,41)(15,42)(16,20)(17,24)(22,43)(23,30)(25,46)(26,50)(28,45)
        (31,44)(32,38)(34,36), ( 1,50)( 2,14)( 3,18)( 4,10)( 5,19)( 6, 9)
        ( 7,35)( 8,21)(11,42)(13,38)(15,32)(16,41)(17,43)(20,40)(22,48)(23,36)
        (24,26)(28,46)(29,33)(30,34)(31,39)(37,44) ], 
  [ (), ( 2, 6)( 3, 5)(10,14)(11,36)(12,13)(15,25)(16,17)(18,22)(19,35)(20,47)
        (21,48)(23,44)(24,50)(26,29)(27,46)(30,49)(31,32)(33,34)(38,43)(39,42)
        , ( 1, 9,40, 8)( 2,46,13,20)( 3,44,34,11)( 4,28)( 5,23,33,36)
        ( 6,27,12,47)( 7,45,37,41)(10,29,48,42)(14,26,21,39)(15,17,49,31)
        (16,30,32,25)(18,35,38,50)(19,43,24,22), 
      ( 1,45)( 2,19,42,15)( 3,48,43,30)( 4, 8,37,41)( 5,21,38,49)( 6,35,39,25)
        ( 7, 9,40,28)(10,12,36,31)(11,32,14,13)(16,24,33,47)(17,50,34,20)
        (18,27,29,44)(22,46,26,23) ], 
  [ (), ( 2, 5)( 3, 4)( 6,15)( 7, 8)( 9,22)(10,11)(12,18)(13,34)(14,23)(17,26)
        (19,44)(20,48)(21,31)(24,28)(25,32)(27,49)(29,36)(33,37)(35,47)(38,43)
        (42,46)(45,50), ( 1,22,40, 9)( 2,49,10,21)( 3, 4, 7, 8)( 5,31,11,27)
        ( 6,36,26,20)(12,18,35,47)(13,33,32,46)(14,45,44,24)(15,48,17,29)
        (16,43,30,38)(19,50,23,28)(25,37,34,42), 
      ( 1,40)( 2,10)( 3, 7)( 4, 8)( 5,11)( 6,26)( 9,22)(12,35)(13,32)(14,44)
        (15,17)(16,30)(18,47)(19,23)(20,36)(21,49)(24,45)(25,34)(27,31)(28,50)
        (29,48)(33,46)(37,42)(38,43) ], 
  [ (), ( 1,36)( 2,15)( 3, 8)( 4,43)( 5,50)( 6,40)( 7,26)(10,25)(11,14)(12,29)
        (13,19)(16,32)(17,27)(20,45)(21,44)(22,30)(23,47)(24,39)(28,34)(31,38)
        (33,35)(37,46)(41,42)(48,49) ], 
  [ (), ( 1, 3)( 2,21)( 4,23)( 5,22)( 6,35)( 7,31)( 8,43)( 9,30)(10,32)(11,49)
        (12,26)(14,48)(15,42)(16,50)(17,25)(18,29)(19,39)(20,41)(24,38)(27,45)
        (33,37)(34,40)(44,47) ], 
  [ (), ( 1,10)( 2,43)( 3,20)( 4,25)( 5,27)( 6,36)( 7,16)( 8,45)( 9,46)(11,47)
        (12,33)(13,29)(14,35)(15,21)(18,40)(19,30)(22,49)(24,26)(31,41)(32,37)
        (38,50)(39,48) ], 
  [ (), ( 3, 8)( 4, 7)( 5, 6)(10,46)(11,21)(13,22)(14,35)(15,42)(16,37)(17,19)
        (18,39)(20,33)(24,49)(25,47)(26,45)(27,36)(28,29)(30,48)(32,34)(38,44)
        (40,43), ( 1, 3)( 2, 8)( 4, 5)( 9,41)(10,44)(11,23)(12,21)(13,26)
        (14,45)(15,16)(17,42)(18,19)(22,48)(24,47)(25,49)(28,38)(29,32)(30,35)
        (31,40)(34,46)(37,39)(43,50) ], 
  [ (), ( 1,14,37,36)( 2,35,23,34)( 3,33,15,44)( 4,17,28,40)( 5,21,13,24)
        ( 6,49,32,27)( 7,46,43, 8)( 9,29,48,42)(10,25)(11,41,45,12)
        (16,22,30,39)(18,31)(19,38)(20,47,50,26), 
      ( 1,17)( 2,21)( 3,49)( 4,14)( 5,35)( 6,33)( 8,46)(10,25)(11,45)(13,34)
        (15,27)(16,39)(18,19)(20,47)(22,30)(23,24)(26,50)(28,36)(29,42)(31,38)
        (32,44)(37,40), ( 1,24,32)( 2,44,37)( 3,34,28)( 4,27,13)( 5,36,15)
        ( 6,40,23)( 7,31,11)( 8,41,18)( 9,25,29)(10,42,48)(12,19,46)(14,49,35)
        (17,21,33)(20,26,50)(22,39,30)(38,45,43), 
      ( 1,28)( 2,13)( 3,32)( 4,37)( 5,23)( 6,15)( 7,46)( 8,43)( 9,29)(11,12)
        (14,17)(18,38)(19,31)(20,50)(21,35)(22,39)(24,34)(27,44)(33,49)(36,40)
        (41,45)(42,48), ( 1,40)( 2,24)( 3,27)( 4,36)( 5,34)( 6,44)( 7,43)
        ( 9,48)(10,25)(12,41)(13,35)(14,28)(15,49)(16,22)(17,37)(18,19)(20,26)
        (21,23)(30,39)(31,38)(32,33)(47,50) ], 
  [ (), ( 1, 5)( 2,13)( 3,38)( 4,29)( 6,37)( 7,30)( 8,12)( 9,50)(10,11)(14,25)
        (16,43)(17,42)(18,49)(19,20)(21,26)(22,28)(23,41)(24,33)(27,44)(31,48)
        (34,45)(35,40)(39,46), ( 1,37)( 2,13)( 3,16)( 5, 6)( 7,34)( 8,14)
        ( 9,33)(10,28)(11,22)(12,25)(17,23)(18,49)(21,26)(24,50)(27,44)(30,45)
        (31,48)(35,46)(36,47)(38,43)(39,40)(41,42) ], 
  [ (), ( 1,16)( 2,45)( 3,36)( 4,50)( 5,32)( 6,39)( 9,15)(10,35)(11,37)(12,13)
        (14,49)(18,22)(19,21)(20,48)(23,34)(24,31)(25,47)(28,38)(29,44)(30,41)
        (33,43)(42,46), ( 1,39)( 2,16)( 3,50)( 4,32)( 5,36)( 6,45)( 9,47)
        (10,15)(11,49)(12,22)(13,24)(14,30)(17,34)(18,31)(20,27)(21,26)(25,35)
        (28,44)(29,33)(37,41)(38,43)(40,42) ], [ () ], 
  [ (), ( 3,33)( 4,40)( 5,37)( 6,18)( 7,28)( 8,49)( 9,11)(12,25)(13,35)(15,32)
        (16,27)(17,20)(19,34)(21,31)(22,48)(24,45)(26,29)(30,41)(36,44)(39,47)
        (42,46), ( 1, 3,10,39)( 2,19,14, 4)( 5,46)( 6,37)( 7,48)( 8,41)
        ( 9,26,11,44)(12,25)(13,42)(15,31,45,21)(16,29,27,36)(17,24,20,32)
        (18,35)(22,30)(23,40,43,34)(28,49)(33,38,47,50), 
      ( 1,10)( 2,14)( 3,39)( 4,19)( 9,11)(15,45)(16,27)(17,20)(21,31)(23,43)
        (24,32)(26,44)(29,36)(33,47)(34,40)(38,50), 
      ( 1,14)( 2,10)( 3,19)( 4,39)( 7, 8)( 9,31)(11,21)(12,25)(15,26)(16,17)
        (20,27)(22,30)(23,50)(24,36)(28,49)(29,32)(33,34)(38,43)(40,47)(41,48)
        (44,45) ], [ () ], 
  [ (), ( 6,10)( 7,43)( 8,12)( 9,31)(11,34)(13,30)(14,36)(15,32)(16,19)(17,22)
        (18,37)(20,42)(21,38)(23,25)(24,35)(28,50)(29,33)(39,41)(40,49)(44,48)
        (46,47), ( 1,26)( 2,45)( 3, 4)( 5,27)( 6,24)( 7,29)( 8,34)( 9,18)
        (10,35)(11,12)(13,30)(14,36)(15,20)(16,44)(17,46)(19,48)(21,40)(22,47)
        (23,41)(25,39)(31,37)(32,42)(33,43)(38,49), 
      ( 1,45)( 2,27)( 3, 4)( 5,26)( 6,29)( 7,34)( 8,24)( 9,36)(10,33)(11,43)
        (12,35)(13,32)(14,31)(15,30)(16,25)(17,41)(18,37)(19,23)(20,42)(22,39)
        (28,49)(40,50)(44,47)(46,48) ], 
  [ (), ( 3,16)( 4,39)( 5,21)( 6,24)( 7,10)( 8,38)( 9,17)(11,43)(12,47)(13,27)
        (14,20)(15,45)(18,46)(19,44)(22,40)(25,29)(26,37)(30,49)(31,34)(32,36)
        (33,35)(41,42)(48,50), ( 3,19)( 4,48)( 5,25)( 6,22)( 7,11)( 8,40)
        ( 9,17)(10,18)(12,13)(14,20)(15,34)(16,30)(21,35)(24,38)(26,39)(27,36)
        (29,33)(31,42)(32,47)(37,50)(41,45)(43,46)(44,49), 
      ( 3,30,44)( 4,26,50)( 5,35,29)( 6,38,40)( 7,18,43)( 8,24,22)(10,11,46)
        (12,32,27)(13,36,47)(15,41,31)(16,19,49)(21,25,33)(34,42,45)(37,39,48)
        , ( 3,44,30)( 4,50,26)( 5,29,35)( 6,40,38)( 7,43,18)( 8,22,24)
        (10,46,11)(12,27,32)(13,47,36)(15,31,41)(16,49,19)(21,33,25)(34,45,42)
        (37,48,39), ( 1,14)( 2, 9)( 3, 8)( 4,26)( 5,15)( 6,48)( 7,43)(10,11)
        (12,25)(13,36)(16,49)(17,20)(21,32)(22,30)(24,44)(27,33)(29,41)(31,35)
        (34,45)(37,40)(38,39), ( 1,17, 9)( 2,20,14)( 3,22, 4)( 5,13,31)
        ( 6,19,48)( 8,26,30)(12,25,42)(15,35,36)(16,39,40)(21,34,27)(24,50,44)
        (29,47,41)(32,33,45)(37,38,49) ], 
  [ (), ( 2,34)( 3,48)( 4,49)( 5,31)( 6,21)( 7,14)( 8,29)( 9,30)(10,15)(12,46)
        (13,44)(16,27)(18,41)(19,37)(20,22)(23,28)(26,39)(32,35)(33,50)(36,43)
        (38,45)(42,47), ( 1,26)( 2,17)( 3,31)( 4,16)( 5,36)( 6,49)( 7, 9)
        ( 8,14)(10,50)(11,37)(12,45)(13,46)(15,41)(18,33)(20,32)(21,27)(22,23)
        (24,42)(28,35)(29,30)(38,44)(43,48) ], 
  [ (), ( 2, 5)( 3, 4)( 6,33)( 7,47)( 8,22)( 9,23)(10,27)(11,29)(12,41)(13,24)
        (15,30)(16,32)(17,28)(18,35)(19,21)(20,48)(25,50)(31,39)(34,44)(36,45)
        (38,49)(42,46), ( 1,46,42)( 2,44,15)( 3,31, 7)( 4,47,39)( 5,30,34)
        ( 6,35,25)( 8,20,29)( 9,13,45)(10,27,43)(11,48,22)(12,49,32)(16,38,41)
        (17,28,26)(18,33,50)(19,37,21)(23,36,24) ], 
  [ ( 6,16,10,29)( 7,36, 8,40)( 9,15,14,31)(13,30,49,43)(17,50,18,34)
        (20,39,21,44)(24,25,27,37)(26,47,46,48), 
      ( 6,29,10,16)( 7,40, 8,36)( 9,31,14,15)(13,43,49,30)(17,34,18,50)
        (20,44,21,39)(24,37,27,25)(26,48,46,47), 
      ( 2,28)( 3,11)( 5,41)( 6,29)( 7,36)( 8,40)( 9,27)(10,16)(13,20)(14,24)
        (15,25)(17,50)(18,34)(19,35)(21,49)(26,48)(30,44)(31,37)(32,45)(33,38)
        (39,43)(46,47), ( 1,23)( 2,33)( 4,42)( 5,19)( 6,17)( 7,26)( 8,46)
        ( 9,14)(10,18)(13,43)(16,34)(20,39)(21,44)(24,27)(28,38)(29,50)(30,49)
        (35,41)(36,48)(40,47) ], 
  [ ( 6,11)( 7, 8)( 9,28)(10,25)(12,47)(13,49)(16,37)(17,24)(18,35)(19,31)
        (20,42)(21,38)(23,27)(26,36)(29,33)(30,39)(32,45)(34,48)(40,44)(41,43)
        , ( 1, 2)( 3, 4)( 6,17)( 7,37)( 8,16)( 9,30)(10,31)(11,24)(12,13)
        (15,46)(18,20)(19,25)(21,27)(22,50)(23,38)(26,40)(28,39)(29,48)(32,43)
        (33,34)(35,42)(36,44)(41,45)(47,49) ], 
  [ ( 6,10)( 7, 8)( 9,49)(11,39)(12,14)(15,16)(17,46)(18,29)(20,31)(21,22)
        (23,50)(24,33)(25,44)(26,30)(27,47)(28,36)(32,48)(35,43)(37,38)(40,41)
        (42,45), ( 1,29,18)( 2,41,40)( 5,42,45)( 6,26,31)( 7,27,37)( 8,38,47)
        (10,20,30)(11,39,13)(12,14,34)(17,33,32)(19,25,44)(21,35,23)(22,50,43)
        (24,46,48), ( 1,30,40,31,29,10, 2, 6,18,20,41,26)( 3,16, 4,15)
        ( 5,42,45)( 7,44,38,12,27,19,47,14,37,25, 8,34)( 9,49,36,28)(11,39,13)
        (17,48,50,35,33,24,43,23,32,46,22,21) ], 
  [ ( 1,42)( 2,15)( 3,30)( 5,50)( 6,40)( 7,37)( 8,29)( 9,25)(10,16)(11,23)
        (12,41)(13,22)(18,49)(19,39)(20,35)(21,34)(24,33)(26,32)(27,44)(28,47)
        (36,48)(38,43)(45,46) ], 
  [ (), ( 1,45,33)( 2,15, 8)( 3,42,50)( 4,49,10)( 5,24,47)( 6, 9,36)( 7,13,48)
        (11,41,18)(12,14,32)(16,35,39)(17,43,30)(19,40,20)(21,27,38)(22,46,37)
        (23,26,31)(25,28,29) ], 
  [ (), ( 1,29,27)( 2,22,13)( 3,41, 9)( 4,25,43)( 5, 6,24)( 7,12,39)( 8,28,46)
        (10,26,44)(11,47,14)(15,49,40)(16,23,19)(17,38,33)(18,31,50)(20,32,45)
        (30,34,42)(36,48,37) ], 
  [ (), ( 1,22)( 2,20)( 3,17)( 4,11)( 6,13)( 7,26)( 8,35)( 9,50)(10,16)(14,27)
        (15,49)(18,43)(19,30)(21,24)(23,39)(25,42)(28,41)(29,32)(34,45)(36,37)
        (38,46)(47,48), ( 1,37)( 2,36)( 4,17)( 5,31)( 6,47)( 7,12)( 8,39)
        ( 9,21)(10,43)(13,18)(14,32)(15,22)(16,48)(19,33)(20,49)(24,34)(25,28)
        (26,40)(27,41)(29,42)(30,44)(38,45)(46,50) ], 
  [ (), ( 2, 6)( 3, 5)( 7,34)( 8,25)( 9,47)(11,31)(12,42)(13,24)(14,39)(16,35)
        (17,29)(18,43)(21,26)(22,33)(23,49)(28,48)(30,50)(36,37)(38,41)(40,45)
        , ( 1,27, 4,19)( 2,49, 5,30)( 3,50, 6,23)( 7,33,47,21)( 8,24,12,40)
        ( 9,26,34,22)(10,46,32,20)(11,37,28,38)(13,42,45,25)(14,35,29,43)
        (16,17,18,39)(31,36,48,41) ], 
  [ ( 1,22,19,16)( 2,43,37, 8)( 3,33, 7,12)( 4, 6,14,10)(11,50,23,32)
        (15,30,27,48)(17,18,20,21)(24,44,49,25)(26,29,38,40)(34,45,42,47), 
      ( 1,42)( 2,44)( 4,10)( 5,28)( 6,14)( 8,49)(11,27)(12,33)(13,41)(15,23)
        (16,47)(18,21)(19,34)(22,45)(24,43)(25,37)(26,40)(29,38)(30,50)(31,36)
        (32,48), ( 1,43,16, 2,19, 8,22,37)( 3,29,12,26, 7,40,33,38)
        ( 4,20,10,18,14,17, 6,21)( 5,28)( 9,35)(11,27,32,30,23,15,50,48)
        (13,41)(24,42,25,45,49,34,44,47)(31,36)(39,46), 
      ( 1,45)( 2,24)( 3,12)( 4,14)( 5,28)( 7,33)( 8,44)(11,30)(13,41)(15,50)
        (16,42)(17,21)(18,20)(19,47)(22,34)(23,48)(25,43)(26,38)(27,32)(31,36)
        (37,49), ( 1,49,22,25,19,24,16,44)( 2,47,43,34,37,45, 8,42)
        ( 3, 4,33, 6, 7,14,12,10)( 5,28)( 9,46)(11,30,50,27,23,48,32,15)
        (13,31)(17,26,18,29,20,38,21,40)(35,39)(36,41) ], 
  [ ( 6,49)( 7,23)( 8,42)( 9,11)(10,41)(12,27)(13,15)(14,25)(18,33)(20,22)
        (21,46)(24,44)(28,29)(30,47)(31,39)(32,36)(35,43)(45,48), 
      ( 2,13)( 3,29)( 4,45)( 6,49)( 7,23)( 8,25)( 9,22)(10,41)(12,42)(14,31)
        (15,40)(16,36)(18,33)(19,28)(21,46)(24,44)(26,48)(27,39)(30,47)(32,38)
        (35,43), ( 2,40)( 3,19)( 4,26)( 6,49)( 7,23)( 8,31)( 9,20)(10,41)
        (11,22)(12,25)(14,27)(16,38)(18,33)(21,46)(24,44)(30,47)(35,43)(39,42)
        , ( 1, 5)( 3, 4)( 6,23)( 7,49)( 8,42)( 9,22)(10,35)(11,20)(12,25)
        (14,27)(17,34)(18,47)(19,26)(21,24)(28,48)(29,45)(30,33)(31,39)(37,50)
        (41,43)(44,46), ( 1,35)( 2,27,40,25)( 3,45,19,48)( 4,29,26,28)( 5,41)
        ( 6, 7)( 8,36,39,32)( 9,20,22,11)(10,37)(12,38,14,16)(13,42,15,31)
        (17,34)(18,49)(21,44)(23,30)(33,47)(43,50), 
      ( 1,37)( 2,16)( 3,26)( 4,19)( 5,50)( 6,33)( 7,47)( 8,31)( 9,11)(10,35)
        (12,25)(13,32)(14,27)(15,36)(17,34)(18,49)(20,22)(23,30)(28,48)(29,45)
        (38,40)(39,42)(41,43), ( 1,50)( 2,16)( 3,19)( 4,26)( 5,37)( 6,47)
        ( 7,33)( 8,31)( 9,22)(10,41)(11,20)(12,27)(13,36)(14,25)(15,32)(18,23)
        (21,44)(24,46)(28,29)(30,49)(35,43)(38,40)(39,42)(45,48) ], 
  [ ( 6,22,12,46)( 7,38, 8,48)( 9,19,47,42)(18,20,32,24)(28,31,30,45)
        (33,43,35,39), ( 2,50)( 3,29)( 5,15)( 6,46)( 7,38)( 8,48)( 9,30)
        (10,34)(12,22)(13,36)(14,17)(16,37)(18,20)(19,31)(21,23)(24,32)(25,49)
        (28,47)(33,39)(35,43)(40,44)(42,45), 
      ( 1,26)( 2,40)( 3,49)( 4,11)( 5,16)( 6,22)( 7,35)( 8,33)(12,46)(14,23)
        (15,37)(17,21)(18,24)(19,42)(20,32)(25,29)(27,41)(31,45)(38,43)(39,48)
        (44,50), ( 1,41)( 2, 3)( 4,11)( 5,15)( 6,18,12,32)( 7,48, 8,38)
        ( 9,19,47,42)(10,13)(14,23)(16,37)(17,21)(20,46,24,22)(25,44)(26,27)
        (28,31,30,45)(29,50)(33,39,35,43)(34,36)(40,49) ], 
  [ (), ( 7, 9)( 8,26)(10,43)(11,41)(12,32)(13,35)(15,30)(16,18)(17,36)(19,37)
        (20,23)(21,28)(22,33)(24,34)(25,38)(27,47)(29,42)(31,46)(39,48)(40,50)
        (44,49), ( 2, 6)( 3, 5)( 7,43)( 9,10)(11,24)(12,32)(13,49)(15,39)
        (16,31)(17,28)(18,46)(19,22)(20,40)(21,36)(23,50)(25,42)(27,47)(29,38)
        (30,48)(33,37)(34,41)(35,44), ( 1, 3)( 2, 4)( 5, 6)( 7, 9)( 8,43)
        (10,26)(11,25)(12,31)(13,35)(15,27)(16,48)(18,39)(19,44)(20,33)(21,29)
        (22,23)(28,42)(30,47)(32,46)(37,49)(38,41)(40,50), 
      ( 1, 4)( 2, 3)( 5, 6)(11,21)(12,47)(13,40)(15,46)(16,48)(17,34)(18,39)
        (19,22)(20,49)(23,44)(24,36)(25,29)(27,32)(28,41)(30,31)(33,37)(35,50)
        (38,42) ], 
  [ (), ( 7, 8)( 9,38)(10,26)(11,48)(12,43)(13,50)(14,24)(15,22)(16,46)(17,28)
        (19,39)(20,40)(21,35)(23,47)(25,29)(27,31)(30,49)(32,33)(34,36)(37,44)
        (42,45), ( 2,39,48,40, 6,20,11,19)( 3,46,27,50, 5,13,31,16)
        ( 7,25,41,29, 8,34,18,36)( 9,32,49,44,35,10,17,15)(12,45,24,23,47,14,
         42,43)(21,37,30,33,38,22,28,26) ], 
  [ (), ( 3,21)( 4,12)( 5,32)( 6, 8)( 7,10)(11,34)(13,36)(14,46)(15,47)(16,37)
        (18,23)(19,44)(20,31)(22,42)(25,49)(27,38)(29,40)(30,39)(33,45)(35,43)
        (41,50), ( 1,11)( 4,28)( 5,35)( 6,15)( 7, 8)( 9,12)(10,19)(13,37)
        (14,41)(16,25)(17,39)(18,42)(20,21)(22,46)(23,50)(24,34)(26,30)(29,38)
        (33,49)(36,45)(44,47), ( 1,24)( 3,20)( 5,43)( 6,44)( 7,15)( 8,19)
        ( 9,28)(10,47)(13,25)(14,23)(16,33)(17,26)(18,46)(21,31)(22,41)(27,29)
        (32,35)(36,49)(37,45)(38,40)(42,50), 
      ( 1,35)( 3,12)( 4,31)( 5,24)( 6,14)( 7,50)( 8,42)( 9,20)(10,46)(11,32)
        (13,49)(15,23)(17,38)(18,19)(21,28)(22,47)(25,33)(26,29)(27,30)(34,43)
        (36,37)(39,40)(41,44) ], 
  [ ( 7,26)( 8,10)( 9,14)(11,42)(12,46)(13,31)(15,27)(16,47)(17,21)(18,40)
        (19,37)(20,41)(23,48)(24,49)(25,35)(28,36)(30,33)(32,44)(39,50)(43,45)
        , ( 7,43)( 8, 9)(10,14)(11,23)(13,49)(15,32)(16,37)(17,50)(18,28)
        (19,47)(21,39)(22,38)(24,31)(25,35)(26,45)(27,44)(29,34)(30,33)(36,40)
        (42,48), ( 1,18,24, 4,47,17)( 2,40,42,15,31, 5)( 3,16,44,23,50, 6)
        ( 7,38,20, 8,34,46)( 9,22,30,33,41,26)(10,43,29,35,25,12)(11,32)
        (13,36)(14,45)(19,27,49,28,48,21)(37,39), 
      ( 1,37,24,47,13)( 2,19,11,49, 6)( 3,28,32,21, 5)( 4,36,17,18,39)
        ( 7,10,29,41, 9)( 8,26,22,12,43)(14,38,35,33,46)(15,27,44,50,40)
        (16,23,48,42,31)(20,45,34,30,25) ], 
  [ (), ( 1, 4)( 2, 5)( 3, 6)( 7,19)( 8,15)( 9,11)(10,46)(12,37)(13,16)(14,40)
        (17,30)(18,22)(20,45)(21,38)(23,48)(24,36)(25,31)(26,29)(28,33)(32,49)
        (35,41)(39,42)(43,50)(44,47), ( 1,33, 4,28)( 2,14, 5,40)( 3,45, 6,20)
        ( 7,46,19,10)( 8,25,15,31)( 9,23,11,48)(12,36,37,24)(13,32,16,49)
        (17,29,30,26)(18,47,22,44)(21,50,38,43)(27,34)(35,39,41,42) ], 
  [ ( 6,26,37,27)( 7, 8,44,34)( 9,41,24,30)(12,13,21,35)(14,45,40,25)
        (15,50,43,19)(18,31,28,49)(20,23,48,46), 
      ( 2,22)( 3,47)( 4,16)( 5,32)( 6,15)( 7,30)( 8, 9)(10,36)(11,42)(12,25)
        (13,14)(17,29)(18,28)(19,27)(20,48)(21,45)(23,46)(24,34)(26,50)(31,49)
        (33,39)(35,40)(37,43)(41,44), ( 2,39)( 3,47)( 5,42)( 6,27)( 7,41)
        ( 8, 9)(10,36)(11,32)(12,45)(13,14)(15,19)(20,48)(21,25)(22,33)(24,34)
        (26,37)(30,44)(31,49)(35,40)(43,50), 
      ( 1,36,10)( 2,23,39,41,17, 7)( 3,47,38)( 4,45,32,28,11,12)
        ( 5,21,16,25,42,18)( 6,27)( 8, 9,48,34,24,20)(13,31,40,35,49,14)
        (15,19)(22,30,29,44,33,46)(26,50)(37,43) ], 
  [ ( 1,21,26,43, 9,31,48, 4)( 2,33,30,28, 5,14,20,22)( 3,15,24,39,46,44,23, 8
         )( 6,35,10,27,45,50,12, 7)(11,13,41,18,42,19,47,49)(16,29,25,38,37,
         32,17,36), ( 1,36)( 2,14)( 3,23)( 4,16)( 5,33)( 6,10)( 7,27)( 9,38)
        (11,49)(12,45)(13,47)(15,44)(17,21)(18,42)(19,41)(20,22)(24,46)(25,31)
        (26,32)(28,30)(29,48)(37,43) ], 
  [ ( 6,22,29,16)( 7,27,41,36)( 8,46,40,28)(18,33,44,21), 
      ( 6,33,22,44,29,21,16,18)( 7, 8,27,46,41,40,36,28), 
      ( 1,10)( 2, 9)( 4,13)( 6,33)( 7,27)(11,20)(14,17)(15,34)(16,44)(18,22)
        (21,29)(23,48)(24,45)(25,30)(26,50)(28,46)(31,43)(32,49)(35,39)(36,41)
        (38,47), ( 1,13)( 2, 4)( 3, 9)( 5,12)( 6, 8,33,27,22,46,44,41,29,40,
         21,36,16,28,18, 7)(10,31)(11,45)(14,24)(15,37)(17,42)(19,35)(20,43)
        (23,26)(25,39)(30,48)(32,47)(34,49)(38,50) ], 
  [ (), ( 6,20)( 7,29)( 8,15)( 9,14)(10,44)(11,46)(12,37)(13,42)(17,36)(18,30)
        (19,35)(22,33)(23,34)(24,38)(25,32)(26,28)(27,41)(31,43)(40,47)
        (45,49) ], 
  [ (), ( 1,37)( 2, 8)( 3,24)( 4, 6)( 5,10)( 7,26)( 9,16)(11,20)(12,34)(13,15)
        (14,19)(17,49)(18,47)(21,22)(23,44)(25,29)(27,31)(28,35)(30,36)(32,33)
        (38,39)(42,43)(45,48)(46,50), ( 1,42)( 2,15)( 4,46)( 5,34)( 6,50)
        ( 8,13)( 9,17)(10,12)(16,49)(18,23)(25,33)(29,32)(30,38)(36,39)(37,43)
        (44,47)(45,48) ], 
  [ ( 2, 5)( 3, 4)( 6,47)( 7,41)( 8,16)( 9,34)(10,25)(11,45)(12,32)(13,19)
        (14,23)(15,29)(17,24)(18,43)(20,28)(21,50)(26,30)(27,35)(31,40)(33,39)
        (36,46)(37,38)(42,44)(48,49), ( 1,11)( 2,20)( 3,14)( 5,41)( 6,10)
        ( 7,17)( 8,35)( 9,39)(12,34)(13,47)(15,44)(16,32)(18,19)(21,25)(22,23)
        (24,38)(26,42)(27,33)(28,37)(29,31)(30,48)(36,45)(40,49)(43,50) ], 
  [ ( 6,22,12,46)( 7,38, 8,48)(14,32,19,15)(20,30,25,31)(34,42,44,43), 
      ( 1,18)( 2,37)( 3,11)( 4,35)( 5,26)( 6,12)( 7,30)( 8,31)( 9,28)(10,27)
        (13,29)(16,49)(17,24)(20,48)(21,33)(22,46)(23,50)(25,38)(34,44)(36,39)
        (40,45)(41,47)(42,43), ( 1,29,26)( 2,28,13)( 3,27,11)( 4,39,50)
        ( 5,17,33)( 6,43,48,46,44, 8,12,42,38,22,34, 7)( 9,35,24)(10,40,45)
        (14,32,19,15)(16,41,18)(20,30,25,31)(21,23,49)(36,37,47), 
      ( 1,35,37,21)( 2,28, 4, 5)( 3,27,45,10)( 6,34,20,48)( 7,46,42,31)
        ( 8,22,43,30)( 9,29,36,24)(11,40)(12,44,25,38)(13,17,41,50)(14,32)
        (15,19)(16,33,39,18)(23,49,47,26) ], 
  [ (), ( 2, 6)( 3, 5)( 7, 8)( 9,42)(10,19)(11,48)(12,47)(13,46)(14,45)(15,44)
        (16,50)(17,49)(18,41)(20,40)(21,39)(22,38)(23,43)(24,35)(25,34)(26,33)
        (27,32)(28,31)(29,37)(30,36), ( 1, 4)( 2, 3)( 5, 6)( 7,13)( 8,46)
        ( 9,39)(10,31)(11,33)(12,35)(14,29)(16,50)(17,40)(18,36)(19,28)(20,49)
        (21,42)(22,23)(24,47)(26,48)(30,41)(37,45)(38,43), 
      ( 1,50, 4,16)( 2,11, 3,33)( 5,48, 6,26)( 7,14,13,29)( 8,37,46,45)
        ( 9,18,39,36)(10,35,31,12)(15,44)(17,22,40,23)(19,47,28,24)
        (20,38,49,43)(21,41,42,30)(25,27)(32,34) ], 
  [ (), ( 1,12,33,41, 4, 6,26, 3)( 2,23,18,50,47,32, 5,36)( 7,27, 8,25,49,14,
         17,38)( 9,44)(10,22)(11,29,34,16,31,19,42,45)(13,24,46,15,39,48,20,43
         )(21,28)(30,40)(35,37), ( 1,46)( 3,15)( 4,20)( 5,18)( 6,48)( 7,49)
        (10,22)(11,34)(12,24)(13,33)(14,38)(16,45)(23,36)(25,27)(26,39)(30,35)
        (31,42)(32,50)(37,40)(41,43) ], 
  [ (), ( 2,44)( 3,10)( 4,20)( 5,14)( 6,28)( 7,13)( 8,43)( 9,40)(12,31)(15,36)
        (16,47)(17,29)(19,22)(21,33)(23,26)(24,27)(30,46)(34,45)(35,50)(37,42)
        (38,41)(48,49), ( 1,24,39,38)( 2,15,43, 3)( 4,47,46,13)( 5,22,34,37)
        ( 6, 9,29,33)( 7,45,16,14)( 8,21,44,40)(10,17,36,28)(12,49,31,23)
        (19,30,42,20)(25,48,32,26)(27,50,41,35), 
      ( 1,50,39,35)( 2,29,43, 6)( 3,33,15, 9)( 4,34,46, 5)( 7,19,16,42)
        ( 8,17,44,28)(10,40,36,21)(12,25,31,32)(13,37,47,22)(14,30,45,20)
        (23,48,49,26)(24,27,38,41) ], 
  [ ( 1,23,28, 6)( 2,41,39,13)( 3,50,49, 5)( 4,14,26,44)( 7,24,25, 8)
        ( 9,11,10,33)(12,32,42,46)(15,16,37,48)(17,20,36,30)(18,40)
        (19,31,29,45)(21,34,47,38)(22,35,27,43), 
      ( 1,45, 3,12)( 2,42, 4,31)( 5,37, 6,15)( 7,10,35, 9)( 8,25,22,43)
        (11,24,33,27)(13,32,44,19)(14,49,41,28)(16,47,48,17)(20,39,38,26)
        (21,23,36,50)(29,34,46,30) ], 
  [ ( 3,50)( 4,29)( 5,24)( 6,22)( 7,10)( 8,44)( 9,47)(11,32)(13,15)(14,16)
        (17,34)(18,33)(19,27)(20,41)(21,36)(23,38)(25,43)(26,48)(28,40)(30,39)
        (31,42)(35,45), ( 1,10,37, 7)( 3,25,45,18)( 4,19,20,21)( 5,46,24,12)
        ( 6,22,31,42)( 8,40,39,26)( 9,34,16,32)(11,14,17,47)(13,15,23,38)
        (27,29,36,41)(28,44,48,30)(33,35,43,50), 
      ( 1,11)( 3,27)( 4,19)( 5,32)( 6,48)( 7,14)( 8,15)( 9,12)(10,47)(13,40)
        (16,46)(17,37)(18,29)(20,21)(22,44)(23,26)(24,34)(25,41)(28,31)(30,42)
        (33,35)(36,45)(38,39)(43,50) ], 
  [ ( 6,26,37,27)( 7, 8,44,34)(10,32,15,48)(11,36,25,35)(13,23,38,20)
        (17,45,43,41)(18,31,28,49)(24,40,50,42), 
      ( 2, 5)( 3, 4)( 6,42)( 7,41)( 8,43)( 9,47)(10,11)(12,14)(13,18)(15,25)
        (16,30)(17,34)(19,33)(20,31)(21,46)(23,49)(24,27)(26,50)(28,38)(29,39)
        (32,35)(36,48)(37,40)(44,45), ( 1,22)( 2,21)( 3,33)( 4,19)( 5,46)
        ( 6,34,26, 7,37, 8,27,44)( 9,30)(10,35,32,11,15,36,48,25)(12,14)
        (13,18,23,31,38,28,20,49)(16,47)(17,42,45,24,43,40,41,50)(29,39), 
      ( 1,30,16)( 2,46,14)( 3,19,29)( 4,39,33)( 5,12,21)( 6,23,43)( 7,28,50)
        ( 8,49,42)( 9,47,22)(13,45,27)(17,37,20)(18,24,44)(26,38,41)(31,40,34)
        , ( 1,47,30,22,16, 9)( 2,12,46,21,14, 5)( 3,39,19,33,29, 4)
        ( 6,24,13, 8,17,28,26,40,23,44,45,49,37,50,38,34,43,18,27,42,20, 7,41,
         31)(10,25,48,36,15,11,32,35) ], 
  [ ( 6,24)( 7,18)( 8,47)(12,25)(15,46)(16,35)(17,37)(19,34)(21,41)(22,39)
        (28,32)(30,38)(40,48), ( 1, 3)( 2,31)( 4,10)( 5, 9)( 6,48)(11,20)
        (12,35)(13,45)(14,33)(15,32)(16,25)(17,37)(19,34)(21,41)(22,39)(23,29)
        (24,40)(26,42)(27,43)(28,46)(36,50)(44,49), 
      ( 1,29, 5,11)( 2,42,27,45)( 3,20, 9,23)( 4,36,49,14)( 6,12,24,25)( 7,30)
        (10,33,44,50)(13,43,26,31)(15,22,28,41)(16,40,35,48)(17,34)(18,38)
        (19,37)(21,46,39,32), ( 1,33)( 2,50)( 4,26)( 5,44)( 6,19)( 7,38)
        ( 8,47)( 9,43)(10,27)(12,40)(13,14)(15,46)(16,37)(17,35)(18,30)(20,36)
        (21,28)(22,39)(23,49)(24,34)(25,48)(29,42)(32,41) ], 
  [ (), ( 1,12)( 2,28)( 3,23)( 4, 7)( 5,22)( 6,48)( 9,10)(11,17)(13,25)(14,20)
        (15,44)(16,49)(18,29)(19,37)(21,50)(24,46)(26,45)(27,43)(30,33)(31,35)
        (32,41)(36,42)(38,47), 
      ( 1,21,26,43, 9,31,48, 4)( 2,33,30,28, 5,14,20,22)( 3,15,24,39,46,44,23,
         8)( 6,35,10,27,45,50,12, 7)(11,13,41,18,42,19,47,49)(16,38,37,36,29,
         32,25,17) ], 
  [ (), ( 3,40)( 4,29)( 5,39)( 6, 7)( 8,45)( 9,25)(10,23)(11,20)(13,50)(15,31)
        (16,48)(17,30)(18,47)(19,35)(21,24)(27,36)(28,34)(33,44)(38,46)(42,49)
        , ( 1,14,12,43)( 2,26,22,37)( 3,27,50,33)( 4,47,34,11)( 5, 6,39, 7)
        ( 8,42,45,49)( 9,15,35,30)(10,46,24,48)(13,44,40,36)(16,23,38,21)
        (17,25,31,19)(18,28,20,29), ( 1,16)( 2, 9)( 3,13)( 4,28)( 5, 7)( 6,41)
        ( 8,42)(10,20)(11,43)(12,46)(14,18)(15,17)(19,22)(21,47)(23,24)(25,50)
        (26,36)(27,30)(29,38)(31,44)(32,45)(33,37)(34,48)(35,40), 
      ( 1,44,29,15)( 2,47,40,24)( 3,14,35,10)( 4,37,38,30)( 5,39,41, 7)
        ( 8,42,49,32)( 9,11,19,18)(12,27,34,17)(13,43,25,21)(16,36,46,33)
        (20,50,23,22)(26,48,31,28), ( 1,47,16,21)( 2,27, 9,30)( 3,17,13,15)
        ( 4,24,28,23)( 5,41, 7, 6)( 8,45,42,32)(10,12,20,46)(11,34,43,48)
        (14,38,18,29)(19,31,22,44)(25,33,50,37)(26,35,36,40) ], 
  [ (), ( 1,27)( 2,15)( 3,44)( 4,42)( 5,35)( 6,38)( 8,36)(10,13)(11,49)(12,25)
        (16,43)(17,18)(20,31)(21,33)(24,37)(26,32)(28,34)(30,41)(39,45)(40,46)
        , ( 1,31,24)( 2,15, 9)( 3,30,49)( 4,10,40)( 5,28,36)( 6,19,38)
        ( 7,21,33)( 8,34,35)(11,41,44)(12,50,25)(13,42,46)(16,43,23)(17,22,18)
        (20,27,37)(26,47,32)(29,45,39) ], 
  [ ( 7,19)( 8,10)( 9,24)(11,27)(13,43)(15,40)(16,25)(17,26)(20,29)(21,44)
        (22,33)(23,46)(28,39)(32,41)(34,48)(35,49)(36,50), 
      ( 2,45)( 3,30)( 5,38)( 6,14)( 7,25)( 8,36)(10,50)(11,27)(12,47)(13,43)
        (15,44)(16,19)(17,49)(18,42)(20,32)(21,40)(22,28)(23,46)(26,35)(29,41)
        (31,37)(33,39)(34,48), 
      ( 1,47,42,31, 4,37,18,12)( 2,48,40, 7, 3,23,49, 8)( 5,10,44,27, 6,19,26,
         13)(11,15,50,38,43,35,16,14)(17,46,30,25,21,34,45,36)(20,22,28,32,29,
         33,39,41) ], 
  [ ( 9,17,48)(10,13,50)(11,36,25)(12,38,18)(14,44,45)(15,46,16)(19,39,41)
        (20,21,35)(22,42,37)(23,49,47)(24,32,43)(26,30,33)(27,34,29)(28,40,31)
        , ( 9,48,17)(10,50,13)(11,25,36)(12,18,38)(14,45,44)(15,16,46)
        (19,41,39)(20,35,21)(22,37,42)(23,47,49)(24,43,32)(26,33,30)(27,29,34)
        (28,31,40), ( 1, 6, 3, 4, 2, 7, 8, 5)(10,39,29,30,25,42,16,18)
        (11,37,15,12,13,41,27,33)(19,34,26,36,22,46,38,50), 
      ( 1,33,18,26)( 2,12,30,38)( 3,41,39,19)( 4,13,29,50)( 5,11,16,36)
        ( 6,27,10,34)( 7,15,25,46)( 8,37,42,22)( 9,31,44,24)(14,17,43,32)
        (20,49)(21,23,47,35)(28,48,45,40), 
      ( 1,42,26, 3,18,22, 2,39,38, 8,30,19)( 4,10,46, 7,29,50, 5,25,34, 6,16,
         36)( 9,32,14)(11,27,13,15)(12,37,33,41)(17,40,24)(20,47,35)(21,23,49)
        (28,48,44)(31,45,43) ], 
  [ ( 7, 8)( 9,10)(11,21)(12,48)(13,19)(14,50)(16,35)(17,34)(18,37)(20,33)
        (22,30)(23,32)(24,39)(25,46)(26,45)(27,36)(28,42)(29,31)(38,49)(40,47)
        (41,43), ( 7, 8)( 9,43)(10,41)(11,40)(13,38)(15,44)(16,26)(17,25)
        (19,49)(20,24)(21,47)(22,28)(30,42)(33,39)(34,46)(35,45), 
      ( 7,15)( 8,44)( 9,43)(11,19)(12,48)(13,47)(14,50)(16,34)(17,45)(18,37)
        (20,42)(21,38)(22,33)(23,32)(24,30)(25,35)(26,46)(27,36)(28,39)(29,31)
        (40,49), ( 1, 3)( 2, 4)( 5, 6)( 7, 8)( 9,43)(10,41)(11,49)(12,48)
        (13,47)(14,32)(15,44)(16,28)(17,24)(18,29)(19,40)(20,25)(21,38)(22,26)
        (23,50)(27,36)(30,45)(31,37)(33,46)(34,39)(35,42), 
      ( 1, 4)( 2, 5)( 3, 6)( 7, 8)( 9,43)(10,41)(11,34)(12,31)(13,35)(14,27)
        (15,44)(16,19)(17,21)(18,37)(20,42)(22,39)(23,32)(24,30)(25,47)(26,49)
        (28,33)(29,48)(36,50)(38,45)(40,46) ], 
  [ (), ( 7,23)( 8,12)( 9,36)(10,27)(11,38)(13,50)(14,28)(15,33)(16,43)(17,24)
        (18,39)(19,49)(20,41)(21,22)(25,44)(26,37)(30,34)(31,35)(40,46)(42,47)
        (45,48), ( 1,23,13,21,18,45,34,12, 6,49,30,15,39,42,50, 9)( 2,16)
        ( 3,43)( 4,36,20,47,31,33,26,19, 5, 8,37,48,35,22,41, 7)(10,27)(11,24)
        (14,25)(17,28)(29,40)(32,46)(38,44), 
      ( 1,50,39,30, 6,34,18,13)( 4,41,35,37, 5,26,31,20)( 7,22,48, 8,19,33,47,
         36)( 9,42,15,49,12,45,21,23) ], 
  [ ( 6,24)( 7,18)( 8,47)( 9,19)(10,36)(11,41)(12,22)(15,21)(16,35)(17,34)
        (25,49)(28,50)(30,38)(31,42)(32,46)(39,40), 
      ( 6,35,40,15,24,16,39,21)( 7, 8,30,46,18,47,38,32)( 9,25,41,28,19,49,11,
         50)(10,42,17,12,36,31,34,22), ( 6,39,24,40)( 7,38,18,30)( 8,32,47,46)
        ( 9,11,19,41)(10,34,36,17)(12,42,22,31)(15,35,21,16)(25,50,49,28), 
      ( 6,40,24,39)( 7,30,18,38)( 8,46,47,32)( 9,41,19,11)(10,17,36,34)
        (12,31,22,42)(15,16,21,35)(25,28,49,50), 
      ( 3,14)( 4,43)( 5,27)( 6,21)( 8,32)( 9,11)(10,17)(12,22)(15,24)(16,40)
        (19,41)(23,26)(25,49)(29,44)(30,38)(33,45)(34,36)(35,39)(46,47), 
      ( 2,48)( 4,23)( 5,33)( 6,15)( 7,50)( 8,11)( 9,32)(10,34)(13,37)(16,39)
        (17,36)(18,28)(19,46)(21,24)(25,38)(26,43)(27,45)(30,49)(31,42)(35,40)
        (41,47), ( 1,13)( 2,20)( 3,33)( 4,29)( 5,23)( 6,39,24,40)( 7,30,18,38)
        ( 8,46,47,32)( 9,36,19,10)(11,17,41,34)(12,28,22,50)(14,45)
        (15,35,21,16)(25,31,49,42)(26,27)(37,48)(43,44), 
      ( 1,20)( 2,13)( 3,29)( 4,33)( 5,23)( 6,21)( 7,18)( 8,46)( 9,41)(10,34)
        (11,19)(14,44)(15,24)(16,40)(17,36)(26,27)(28,50)(31,42)(32,47)(35,39)
        (37,48)(43,45) ], 
  [ ( 1,29,30,47,48)( 2,13,12,31,16)( 3,36, 8, 9,43)( 4,14,11,26,32)
        ( 5,41, 7,35,33)( 6,44,18,21,45)(10,37,23,42,50)(15,25,19,28,46)
        (17,49,24,38,27)(20,34,39,40,22), ( 1,47,29,48,30)( 2,31,13,16,12)
        ( 3, 9,36,43, 8)( 4,26,14,32,11)( 5,35,41,33, 7)( 6,21,44,45,18)
        (10,42,37,50,23)(15,28,25,46,19)(17,38,49,27,24)(20,40,34,22,39), 
      ( 1,49,20,41)( 2,25,11, 9)( 3,16,46,26)( 4,43,12,15)( 5,47,24,39)
        ( 6,44,21,18)( 7,30,17,40)( 8,31,19,32)(10,50,23,42)(13,28,14,36)
        (22,33,29,38)(27,34,35,48) ], 
  [ ( 6,44)( 7,33)( 8,22)(10,21)(11,36)(12,18)(13,28)(15,40)(17,25)(19,32)
        (23,48)(26,38)(27,34)(30,31)(39,42)(43,46), 
      ( 3,50)( 4,29)( 5,24)( 6,22)( 7,10)( 8,44)( 9,47)(11,32)(13,15)(14,16)
        (17,34)(19,36)(20,41)(21,33)(23,38)(25,27)(26,48)(28,40)(30,39)(31,42)
        (35,45), ( 1, 5)( 3, 4)( 6,48)( 7,43)( 8,15)(10,18)(11,36)(12,21)
        (13,30)(14,47)(17,25)(19,34)(20,45)(22,40)(23,44)(24,37)(26,42)(27,32)
        (28,31)(29,35)(33,46)(38,39)(41,50), 
      ( 1,14)( 3,29)( 4,20)( 5, 9)( 6,31)( 7,25)( 8,48)(10,36)(11,21)(12,27)
        (13,42)(16,24)(17,33)(18,34)(19,46)(22,23)(28,39)(30,44)(32,43)(37,47)
        (41,45), ( 1,20,37, 4)( 3,16,45, 9)( 5,35,24,50)( 6,12,31,46)
        ( 7,38,10,15)( 8,32,39,34)(11,48,17,28)(13,36,23,25)(14,29,47,41)
        (18,30,43,44)(19,42,27,22)(21,40,33,26) ], 
  [ ( 7, 8)( 9,39)(10,47)(13,22)(14,34)(15,35)(16,36)(17,19)(20,38)(21,32)
        (26,43)(28,31)(29,48)(30,49)(42,50)(44,46), 
      ( 7, 8)( 9,47)(10,28)(11,38)(12,32)(14,23)(15,24)(16,18)(19,37)(22,33)
        (25,42)(26,45)(27,44)(31,39)(40,48)(41,49), 
      ( 2, 6)( 3, 5)( 7, 8)( 9,39,31,47,10,28)(11,21,38,12,20,32)
        (13,19,33,17,22,37)(14,18,34,16,23,36)(15,24,35)(25,46,42,27,50,44)
        (26,45,43)(29,49,40,30,48,41), 
      ( 1, 3)( 2, 4)( 5, 6)( 7, 8)( 9,39,31,47,10,28)(11,35,38,24,20,15)
        (12,13,32,33,21,22)(14,25,34,42,23,50)(16,41,36,49,18,30)
        (17,26,37,43,19,45)(27,46,44)(29,48,40), 
      ( 1,24,43,15)( 2,37,20,19)( 3,11,17,38)( 4,45,35,26)( 5,12,13,32)
        ( 6,33,21,22)( 7,31,47,10)( 8,28, 9,39)(14,18,16,23)(25,42,41,49)
        (27,44,40,48) ], 
  [ ( 7,47)( 8,13)( 9,10)(11,36)(12,22)(15,33)(17,32)(19,40)(20,23)(21,38)
        (24,25)(26,45)(27,42)(30,49)(34,35)(39,43)(44,48), 
      ( 2, 6)( 3, 5)( 7, 8)( 9,10)(11,49)(12,48)(13,47)(14,46)(15,45)(16,50)
        (17,42)(18,41)(19,40)(20,39)(21,38)(22,44)(23,43)(24,35)(25,34)(26,33)
        (27,32)(28,31)(29,37)(30,36), ( 2,34)( 3,23)( 5,43)( 6,25)( 7,13)
        ( 8,47)(11,30)(12,44)(14,24)(15,21)(16,50)(17,27)(18,41)(19,26)(20,29)
        (22,48)(28,31)(32,42)(33,40)(35,46)(36,49)(37,39)(38,45), 
      ( 2,46)( 3,29)( 5,37)( 6,14)(15,26)(19,21)(20,23)(24,25)(33,45)(34,35)
        (38,40)(39,43), ( 1, 4)( 2, 3)( 5, 6)( 7,47)( 8,13)(11,36)(12,32)
        (14,37)(15,26)(16,28)(17,22)(18,41)(19,21)(20,35)(23,34)(24,39)(25,43)
        (27,48)(29,46)(30,49)(31,50)(33,45)(38,40)(42,44), 
      ( 1,18)( 2, 3)( 4,41)( 5,37)( 6,14)( 7,36)( 8,49)( 9,10)(11,47)(12,17)
        (13,30)(15,45)(19,40)(20,23)(21,38)(22,32)(24,39)(25,43)(26,33)(27,42)
        (29,46)(31,50)(34,35)(44,48), ( 1,22,41,12)( 4,32,18,17)( 5,15,14,33)
        ( 6,45,37,26)( 7,30,11, 8)( 9,28,10,16)(13,36,49,47)(19,35,38,23)
        (20,21,34,40)(27,42,44,48) ], 
  [ ( 1, 4)( 2, 3)( 5, 6)( 7, 8)( 9,10)(11,48)(12,20)(13,47)(14,42)(16,46)
        (17,30)(18,41)(19,28)(21,32)(22,50)(23,34)(24,39)(25,43)(26,33)(27,36)
        (29,31)(35,44)(37,38)(40,49), ( 1, 7, 4, 8)( 2, 9, 3,10)( 5,47, 6,13)
        (11,42,48,14)(12,27,20,36)(16,50,46,22)(17,34,30,23)(18,26,41,33)
        (19,21,28,32)(24,37,39,38)(25,44,43,35)(29,49,31,40), 
      ( 1,10, 4, 9)( 2, 8, 3, 7)( 5,13, 6,47)(11,31,48,29)(12,44,20,35)
        (14,49,42,40)(16,28,46,19)(17,34,30,23)(18,38,41,37)(21,50,32,22)
        (24,33,39,26)(25,27,43,36), ( 1,12, 4,20)( 2,32, 3,21)( 5,48, 6,11)
        ( 7,44, 8,35)( 9,31,10,29)(13,22,47,50)(14,30,42,17)(16,23,46,34)
        (18,43,41,25)(19,37,28,38)(24,49,39,40)(26,27,33,36) ], 
  [ ( 7, 8)( 9,24)(10,39)(11,17)(15,16)(19,22)(21,23)(25,28)(26,29)(27,30)
        (32,35)(33,36)(34,38)(40,43)(44,50)(48,49), 
      ( 7,10,22)( 8,19,39)(11,17,42)(12,28,25)(13,29,26)(14,30,27)(15,41,16)
        (18,48,49)(20,50,44)(21,31,23)(32,35,46)(33,36,47)(34,45,38)(37,43,40)
        , ( 7,22,10)( 8,39,19)(11,42,17)(12,25,28)(13,26,29)(14,27,30)
        (15,16,41)(18,49,48)(20,44,50)(21,23,31)(32,46,35)(33,47,36)(34,38,45)
        (37,40,43), ( 2,44,20)( 3,26,13)( 5,35,46)( 6,15,41)( 7,39,38)
        ( 8,22,30)(10,45,27)(11,18,49)(12,25,33)(14,34,19)(17,48,42)(21,43,31)
        (23,37,40)(28,47,36), ( 1, 4)( 2, 3)( 5, 6)( 7,19,22, 8,10,39)
        (11,25,42,28,17,12)(13,50,26,20,29,44)(14,38,27,45,30,34)
        (15,46,16,35,41,32)(18,33,49,47,48,36)(21,37,23,40,31,43), 
      ( 1,12)( 2,10)( 3,19)( 4,42)( 5,25)( 6,17)( 7,43)( 8,23)(11,50)(13,30)
        (14,21)(15,34)(16,39)(18,37)(20,38)(22,32)(26,33)(27,35)(28,29)(31,47)
        (36,46)(40,45)(41,49)(44,48) ], 
  [ ( 1,11)( 3,27)( 4,19)( 5,32)( 6,48)( 7,14)( 8,15)( 9,12)(10,47)(16,46)
        (17,37)(18,29)(20,21)(23,26)(24,34)(25,41)(28,31)(30,44)(33,35)(36,45)
        (38,39)(40,42)(43,50), 
      ( 1,26,34, 9,30,46, 5,40,17,14,22, 7,37,42,32,16,44,12,24,23,11,47,13,10
         )( 3, 8,21,20,15,27,41,48,33,50,31,18,45,39,19, 4,38,36,29,28,43,35,
          6,25), ( 1,29,16,50, 5, 3,47, 4,37,41, 9,35,24,45,14,20)
        ( 6,23,39,22,15,26,28,44,31,40, 8,13,38,42,48,30)( 7,27,34,43,12,18,
         17,21,10,36,32,33,46,25,11,19), ( 1,34,30, 5,17,22,37,32,44,24,11,13)
        ( 3,21,15,41,33,31,45,19,38,29,43, 6)( 4,36,28,35,25, 8,20,27,48,50,
         18,39)( 7,42,16,12,23,47,10,26, 9,46,40,14) ], 
  [ ( 7,10)( 8,18)( 9,49)(11,16)(13,37)(14,39)(24,33)(25,28)(26,31)(47,50), 
      ( 7,49,10, 9)( 8,11,18,16)(13,50,37,47)(14,25,39,28)(24,26,33,31), 
      ( 2,48)( 3,35)( 4,21)( 6,42)( 7,24)( 8,18)( 9,26)(10,33)(12,38)(13,37)
        (14,39)(15,44)(19,34)(22,41)(23,27)(29,43)(31,49)(32,46)(36,40), 
      ( 1,36,15,32,35, 5)( 2,43,19,45,17, 4)( 3,20,21,27, 6,12)
        ( 7,25, 8,49,14,11)( 9,39,16,10,28,18)(13,26)(22,48,46)
        (23,34,30,40,38,41)(24,50)(29,42,44)(31,37)(33,47) ], 
  [ ( 7, 8)( 9,24)(10,27)(12,26)(13,42)(14,41)(15,30)(18,46)(19,45)(20,31)
        (22,29)(25,35)(32,38)(34,47)(36,40)(37,44), 
      ( 7,24, 8, 9)(10,25,27,35)(12,30,26,15)(13,14,42,41)(18,19,46,45)
        (20,22,31,29)(32,40,38,36)(34,44,47,37), 
      ( 2, 6)( 3, 5)( 7, 9, 8,24)(10,35,27,25)(11,48)(12,37,26,44)
        (13,45,42,19)(14,18,41,46)(15,47,30,34)(16,50)(17,49)(20,38,31,32)
        (21,39)(22,36,29,40)(23,43)(28,33), 
      ( 2,20)( 3,13)( 5,46)( 6,40)( 7,47)( 8,12)( 9,26)(10,27)(14,41)(16,25)
        (17,18)(19,45)(21,36)(22,29)(24,34)(30,37)(31,39)(32,38)(35,50)(42,49)
        , ( 2,21)( 3,17)( 5,49)( 6,39)( 7, 8)(10,35)(11,48)(12,15)(13,19)
        (14,18)(20,32)(22,36)(23,43)(25,27)(26,30)(28,33)(29,40)(31,38)(34,37)
        (41,46)(42,45)(44,47), ( 2,32)( 3,19)( 5,41)( 6,29)( 7,30)( 8,37)
        ( 9,15)(10,50)(11,48)(13,18)(14,17)(16,27)(20,36)(21,22)(23,43)(24,44)
        (26,34)(28,33)(31,40)(38,39)(42,46)(45,49), 
      ( 2,39)( 3,49)( 5,17)( 6,21)( 9,24)(10,25)(12,44)(13,41)(14,42)(15,47)
        (16,50)(18,45)(19,46)(20,29)(22,31)(26,37)(27,35)(30,34)(32,40)(36,38)
        , ( 1, 3)( 2, 4)( 5, 6)( 7,24)( 8, 9)(10,27)(12,45)(14,41)(15,18)
        (16,48)(19,26)(22,29)(23,50)(28,49)(30,46)(32,34)(33,39)(36,44)(37,40)
        (38,47), ( 1,28)( 4,33)( 5,21)( 6,17)( 7,24)( 8, 9)(10,27)(12,26)
        (14,41)(18,40)(19,32)(22,29)(23,48)(34,47)(36,46)(38,45) ], 
  [ (), ( 9,44)(10,35)(11,40)(12,28)(13,45)(14,46)(15,47)(16,48)(17,49)(18,50)
        (19,37)(20,38)(21,39)(22,41)(23,42)(24,43)(25,31)(26,32)(27,33)(29,34)
        (30,36), ( 3, 4, 6)( 5, 8, 7)( 9,19,31)(10,47,43)(11,36,17)(12,18,23)
        (13,21,34)(14,22,32)(15,24,35)(16,20,33)(25,44,37)(26,46,41)(27,48,38)
        (28,50,42)(29,45,39)(30,49,40), ( 3, 5, 4, 8, 6, 7)( 9,25,19,44,31,37)
        (10,20,47,33,43,16)(11,46,36,41,17,26)(12,39,18,29,23,45)
        (13,28,21,50,34,42)(14,30,22,49,32,40)(15,27,24,48,35,38), 
      ( 3, 6, 4)( 5, 7, 8)( 9,31,19)(10,43,47)(11,17,36)(12,23,18)(13,34,21)
        (14,32,22)(15,35,24)(16,33,20)(25,37,44)(26,41,46)(27,38,48)(28,42,50)
        (29,39,45)(30,40,49), ( 3, 7, 6, 8, 4, 5)( 9,37,31,44,19,25)
        (10,16,43,33,47,20)(11,26,17,41,36,46)(12,45,23,29,18,39)
        (13,42,34,50,21,28)(14,40,32,49,22,30)(15,38,35,48,24,27), 
      ( 3, 8)( 4, 7)( 5, 6)( 9,44)(10,33)(11,41)(12,29)(13,50)(14,49)(15,48)
        (16,47)(17,46)(18,45)(19,37)(20,43)(21,42)(22,40)(23,39)(24,38)(25,31)
        (26,36)(27,35)(28,34)(30,32), 
      ( 3,10,21,22, 9,41,23,35, 8,33,42,40,44,11,39,27)( 4,47,34,32,19,26,12,
         15, 7,16,28,30,37,36,29,48)( 5,20,50,49,25,17,45,38, 6,43,13,14,31,
         46,18,24), ( 3,11,42,35, 9,10,39,40, 8,41,21,27,44,33,23,22)
        ( 4,36,28,15,19,47,29,30, 7,26,34,48,37,16,12,32)( 5,46,13,38,25,20,
         18,14, 6,17,50,24,31,43,45,49), 
      ( 3,13,19,23, 5,28,44,45, 4,21,31,12, 8,50,37,39, 6,34, 9,18, 7,42,25,29
         )(10,14,26,35,20,30,11,38,47,22,46,15,33,49,36,27,43,32,41,24,16,40,
         17,48), ( 3,15,45,41,37,14,42,47, 5,27,12,17, 9,30,13,33, 4,24,39,26,
         25,22,28,43, 8,48,18,11,19,49,21,16, 6,35,29,46,44,32,50,10, 7,38,23,
         36,31,40,34,20), ( 3,16,13,40,19,17,23,48, 5,10,28,14,44,26,45,35, 4,
         20,21,30,31,11,12,38, 8,47,50,22,37,46,39,15, 6,33,34,49, 9,36,18,27,
         7,43,42,32,25,41,29,24), ( 3,19, 5,44, 4,31, 8,37, 6, 9, 7,25)
        (10,26,20,11,47,46,33,36,43,41,16,17)(12,50,39,34,18,42,29,13,23,28,
         45,21)(14,35,30,38,22,15,49,27,32,24,40,48), 
      ( 3,20,34,40,31,36,23,38, 7,10,50,32,44,46,29,35, 6,16,21,49,19,11,18,
         48, 8,43,28,22,25,26,39,24, 4,33,13,30, 9,17,12,27, 5,47,42,14,37,41,
         45,15), ( 3,22,23,33,44,27,21,41, 8,40,39,10, 9,35,42,11)
        ( 4,32,12,16,37,48,34,26, 7,30,29,47,19,15,28,36)( 5,49,45,43,31,24,
         50,17, 6,14,18,20,25,38,13,46), 
      ( 3,24,29,41,25,32,42,43, 7,27,18,36, 9,49,34,33, 6,15,39,46,37,22,50,
         47, 8,38,12,11,31,30,21,20, 4,35,45,26,44,14,28,10, 5,48,23,17,19,40,
         13,16), ( 3,25, 7, 9, 6,37, 8,31, 4,44, 5,19)(10,17,16,41,43,36,33,
         46,47,11,20,26)(12,21,45,28,23,13,29,42,18,34,39,50)(14,48,40,24,32,
         27,49,15,22,38,30,35), 
      ( 3,27,39,11,44,40,42,33, 8,35,23,41, 9,22,21,10)( 4,48,29,36,37,30,28,
         16, 7,15,12,26,19,32,34,47)( 5,24,18,46,31,14,13,43, 6,38,45,17,25,
         49,50,20), ( 3,28,31,39, 7,13,44,12, 6,42,19,45, 8,34,25,23, 4,50, 9,
         29, 5,21,37,18)(10,30,46,27,16,14,11,15,43,40,26,38,33,32,17,35,47,
         49,41,48,20,22,36,24), 
      ( 3,29,25,42, 7,18, 9,34, 6,39,37,50, 8,12,31,21, 4,45,44,28, 5,23,19,13
         )(10,48,17,40,16,24,41,32,43,27,36,49,33,15,46,22,47,38,11,30,20,35,
         26,14), ( 3,32,18,33,37,38,21,26, 5,40,29,43, 9,15,50,11, 4,14,23,16,
         25,27,34,46, 8,30,45,10,19,24,42,36, 6,22,12,20,44,48,13,41, 7,49,39,
         47,31,35,28,17), ( 3,36,50,35,19,43,39,30, 5,41,34,38,44,16,18,22, 4,
         17,42,15,31,10,29,49, 8,26,13,27,37,20,23,32, 6,11,28,24, 9,47,45,40,
         7,46,21,48,25,33,12,14), 
      ( 3,39,44,42, 8,23, 9,21)( 4,29,37,28, 7,12,19,34)( 5,18,31,13, 6,45,25,
         50)(10,27,11,40,33,35,41,22)(14,43,38,17,49,20,24,46)(15,26,32,47,48,
         36,30,16), ( 3,42, 9,39, 8,21,44,23)( 4,28,19,29, 7,34,37,12)
        ( 5,13,25,18, 6,50,31,45)(10,40,41,27,33,22,11,35)(14,17,24,43,49,46,
         38,20)(15,47,30,26,48,16,32,36), 
      ( 3,44, 8, 9)( 4,37, 7,19)( 5,31, 6,25)(10,11,33,41)(12,34,29,28)
        (13,45,50,18)(14,38,49,24)(15,32,48,30)(16,26,47,36)(17,20,46,43)
        (21,39,42,23)(22,27,40,35), 
      ( 3,46,28,27,31,16,39,14, 7,11,13,15,44,43,12,40, 6,26,42,38,19,33,45,
         32, 8,17,34,35,25,47,23,49, 4,41,50,48, 9,20,29,22, 5,36,21,24,37,10,
         18,30), ( 3,49,12,10,25,15,21,17, 7,22,45,16, 9,38,28,41, 6,30,23,43,
         37,35,13,36, 8,14,29,33,31,48,42,46, 4,40,18,47,44,24,34,11, 5,32,39,
         20,19,27,50,26), ( 3,50,19,39, 5,34,44,18, 4,42,31,29, 8,13,37,23, 6,
         28, 9,45, 7,21,25,12)(10,49,26,27,20,32,11,24,47,40,46,48,33,14,36,
         35,43,30,41,38,16,22,17,15), ( 2, 3)( 4, 8)( 5, 7)( 9,45)(10,12)
        (11,42)(13,44)(14,50)(15,49)(16,48)(17,47)(18,46)(19,38)(20,37)(21,43)
        (22,41)(23,40)(24,39)(25,32)(26,31)(27,36)(28,35)(29,34)(30,33), 
      ( 1, 2)( 4, 6)( 5, 7)( 9,44)(10,27)(11,22)(12,50)(13,29)(14,36)(15,20)
        (16,24)(17,32)(18,28)(19,25)(21,39)(23,42)(26,49)(30,46)(31,37)(33,35)
        (34,45)(38,47)(40,41)(43,48) ] ];