Quelle  permgroupgens.g   Sprache: unbekannt

#############################################################################
##
#W  permgroupgens.g              GAP4 Package `RCWA'              Stefan Kohl
##
##  Data library of groups generated by 3 class transpositions which inter-
##  change residue classes with moduli <= 6: part containing permutation
##  representations of finite groups on respected partitions.
##
##  The list 'permgroupgens' below satisfies
##
##  permgroupgens[i] = GeneratorsOfGroup(ActionOnRespectedPartition(grps[i]))
##
##  for all i in [1..52394] such that grps[i] is finite.
##
#############################################################################

local  perms, permgroupgenspos, result, i;

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

--> maximum size reached

--> --------------------