k5_g5 := List([1..60], i -> []);

k5_g5[32,1] := [ [ 15, 19, 21, 30, 32 ], [ 3, 8, 14, 15, 23 ], [ 2, 24, 27, 28, 30 ], [ 6, 10, 22, 28, 29 ], [ 8, 17, 26, 29, 30 ], [ 4, 7, 8, 20, 27 ], 
          [ 6, 14, 17, 24, 31 ], [ 2, 5, 6, 11, 12 ], [ 12, 15, 20, 24, 26 ], [ 4, 13, 21, 26, 31 ], [ 8, 13, 18, 19, 22 ], [ 8, 9, 28, 31, 32 ], [ 10, 11, 17, 20, 32 ], [ 2, 7, 16, 22, 32 ], [ 1, 2, 9, 17, 18 ], [ 14, 18, 20, 21, 28 ],
          [ 5, 7, 13, 15, 25 ], [ 11, 15, 16, 27, 31 ], [ 1, 11, 23, 26, 28 ], [ 6, 9, 13, 16, 23 ], [ 1, 10, 16, 24, 25 ], [ 4, 11, 14, 25, 30 ], [ 2, 19, 20, 25, 29 ], 
          [ 3, 7, 9, 21, 29 ], [ 17, 21, 22, 23, 27 ], [ 5, 9, 10, 19, 27 ], [ 3, 6, 18, 25, 26 ], [ 3, 4, 12, 16, 19 ], [ 4, 5, 23, 24, 32 ], [ 1, 3, 5, 22, 31 ], [ 7, 10, 12, 18, 30 ], [ 1, 12, 13, 14, 29 ] ];

k5_g5[34,1] := [ [ 2, 3, 4, 5, 6 ], [ 1, 7, 8, 9, 10 ], [ 1, 11, 12, 13, 14 ], [ 1, 15, 16, 17, 18 ], [ 1, 19, 20, 21, 22 ], [ 1, 23, 24, 25, 26 ], 
      [ 2, 11, 15, 19, 23 ], [ 2, 12, 16, 20, 24 ], [ 2, 13, 17, 21, 25 ], [ 2, 14, 18, 22, 26 ], [ 3, 7, 16, 21, 26 ], [ 3, 8, 15, 22, 25 ], [ 3, 9, 18, 27, 28 ], [ 3, 10, 17, 29, 30 ], [ 4, 7, 12, 27, 29 ], [ 4, 8, 11, 28, 30 ], 
      [ 4, 9, 14, 31, 32 ], [ 4, 10, 13, 33, 34 ], [ 5, 7, 24, 30, 31 ], [ 5, 8, 23, 27, 33 ], [ 5, 9, 11, 29, 34 ], [ 5, 10, 12, 28, 32 ], [ 6, 7, 20, 28, 34 ], 
      [ 6, 8, 19, 29, 32 ], [ 6, 9, 12, 30, 33 ], [ 6, 10, 11, 27, 31 ], [ 13, 15, 20, 26, 32 ], [ 13, 16, 22, 23, 31 ], [ 14, 15, 21, 24, 33 ], [ 14, 16, 19, 25, 34 ], [ 17, 19, 26, 28, 33 ], [ 17, 22, 24, 27, 34 ], 
      [ 18, 20, 25, 29, 31 ], [ 18, 21, 23, 30, 32 ] ];

k5_g5[36,1] := [ [ 11, 23, 27, 31, 32 ], [ 19, 22, 26, 30, 32 ], [ 7, 20, 26, 29, 35 ], [ 19, 20, 25, 31, 34 ], [ 28, 29, 30, 31, 36 ], [ 13, 23, 26, 28, 34 ], 
  [ 3, 22, 25, 28, 33 ], [ 19, 21, 27, 28, 35 ], [ 24, 25, 26, 27, 36 ], [ 13, 22, 24, 31, 35 ], [ 1, 21, 24, 30, 34 ], [ 19, 23, 24, 29, 33 ], [ 6, 10, 18, 19, 36 ], [ 18, 21, 26, 31, 33 ], [ 18, 23, 25, 30, 35 ], 
  [ 18, 22, 27, 29, 34 ], [ 18, 20, 24, 28, 32 ], [ 13, 14, 15, 16, 17 ], [ 2, 4, 8, 12, 13 ], [ 3, 4, 17, 27, 30 ], [ 8, 11, 14, 25, 29 ], [ 2, 7, 10, 16, 23 ], 
  [ 1, 6, 12, 15, 22 ], [ 9, 10, 11, 12, 17 ], [ 4, 7, 9, 15, 21 ], [ 2, 3, 6, 9, 14 ], [ 1, 8, 9, 16, 20 ], [ 5, 6, 7, 8, 17 ], [ 3, 5, 12, 16, 21 ], [ 2, 5, 11, 15, 20 ], [ 1, 4, 5, 10, 14 ], 
  [ 1, 2, 17, 35, 36 ], [ 7, 12, 14, 34, 36 ], [ 4, 6, 11, 16, 33 ], [ 3, 8, 10, 15, 32 ], [ 5, 9, 13, 32, 33 ] ];

k5_g5[38,1] := [ [ 21, 25, 29, 33, 34 ], [ 20, 24, 28, 32, 34 ], [ 21, 22, 28, 31, 37 ], [ 20, 22, 27, 33, 36 ], [ 30, 31, 32, 33, 38 ], [ 19, 25, 28, 30, 36 ], 
  [ 21, 24, 27, 30, 35 ], [ 20, 23, 29, 30, 37 ], [ 26, 27, 28, 29, 38 ], [ 19, 24, 26, 33, 37 ], [ 21, 23, 26, 32, 36 ], [ 20, 25, 26, 31, 35 ], [ 18, 19, 20, 21, 38 ], [ 18, 23, 28, 33, 35 ], [ 18, 25, 27, 32, 37 ], 
  [ 18, 24, 29, 31, 36 ], [ 18, 22, 26, 30, 34 ], [ 13, 14, 15, 16, 17 ], [ 6, 10, 13, 23, 31 ], [ 2, 4, 8, 12, 13 ], [ 1, 3, 7, 11, 13 ], [ 3, 4, 17, 29, 32 ], 
  [ 8, 11, 14, 19, 27 ], [ 2, 7, 10, 16, 25 ], [ 1, 6, 12, 15, 24 ], [ 9, 10, 11, 12, 17 ], [ 4, 7, 9, 15, 23 ], [ 2, 3, 6, 9, 14 ], [ 1, 8, 9, 16, 22 ], [ 5, 6, 7, 8, 17 ], [ 3, 5, 12, 16, 19 ], 
  [ 2, 5, 11, 15, 22 ], [ 1, 4, 5, 10, 14 ], [ 1, 2, 17, 37, 38 ], [ 7, 12, 14, 36, 38 ], [ 4, 6, 11, 16, 35 ], [ 3, 8, 10, 15, 34 ], [ 5, 9, 13, 34, 35 ] ];

k5_g5[40,1] := [ [ 23, 27, 31, 35, 36 ], [ 22, 26, 30, 34, 36 ], [ 24, 25, 26, 27, 40 ], [ 21, 24, 31, 34, 37 ], [ 23, 24, 30, 33, 39 ], [ 22, 24, 29, 35, 38 ], 
  [ 32, 33, 34, 35, 40 ], [ 21, 27, 30, 32, 38 ], [ 23, 26, 29, 32, 37 ], [ 22, 25, 31, 32, 39 ], [ 28, 29, 30, 31, 40 ], [ 21, 26, 28, 35, 39 ], [ 23, 25, 28, 34, 38 ], [ 22, 27, 28, 33, 37 ], [ 20, 21, 22, 23, 40 ], 
  [ 20, 25, 30, 35, 37 ], [ 20, 27, 29, 34, 39 ], [ 20, 26, 31, 33, 38 ], [ 20, 24, 28, 32, 36 ], [ 15, 16, 17, 18, 19 ], [ 4, 8, 12, 15, 33 ], [ 2, 6, 10, 14, 15 ], 
  [ 1, 5, 9, 13, 15 ], [ 3, 4, 5, 6, 19 ], [ 3, 10, 13, 16, 29 ], [ 2, 3, 9, 12, 18 ], [ 1, 3, 8, 14, 17 ], [ 11, 12, 13, 14, 19 ], [ 6, 9, 11, 17, 25 ], [ 2, 5, 8, 11, 16 ], [ 1, 4, 10, 11, 18 ], 
  [ 7, 8, 9, 10, 19 ], [ 5, 7, 14, 18, 21 ], [ 2, 4, 7, 13, 17 ], [ 1, 6, 7, 12, 16 ], [ 1, 2, 19, 39, 40 ], [ 4, 9, 14, 16, 38 ], [ 6, 8, 13, 18, 37 ], [ 5, 10, 12, 17, 36 ], [ 3, 7, 11, 15, 36 ] ];

k5_g5[42,1] := [ [ 16, 22, 24, 34, 39 ], [ 12, 19, 27, 34, 40 ], [ 16, 20, 28, 30, 33 ], [ 19, 29, 31, 37, 41 ], [ 27, 30, 32, 35, 36 ], [ 18, 25, 31, 33, 39 ], 
  [ 11, 20, 29, 32, 34 ], [ 21, 31, 34, 36, 38 ], [ 14, 16, 19, 25, 35 ], [ 22, 33, 36, 37, 40 ], [ 7, 17, 24, 30, 38 ], [ 2, 35, 37, 39, 42 ], [ 23, 28, 32, 38, 40 ], [ 9, 26, 39, 40, 41 ], [ 21, 25, 30, 40, 42 ], 
  [ 1, 3, 9, 18, 42 ], [ 11, 26, 28, 36, 42 ], [ 6, 16, 23, 36, 41 ], [ 2, 4, 9, 22, 30 ], [ 3, 7, 22, 26, 31 ], [ 8, 15, 24, 26, 32 ], [ 1, 10, 19, 20, 23 ], 
  [ 13, 18, 22, 29, 35 ], [ 1, 11, 21, 33, 41 ], [ 6, 9, 15, 37, 38 ], [ 14, 17, 20, 21, 27 ], [ 2, 5, 26, 29, 38 ], [ 3, 13, 17, 34, 41 ], [ 4, 7, 23, 27, 39 ], [ 3, 5, 11, 15, 19 ], [ 4, 6, 8, 20, 42 ], 
  [ 5, 7, 13, 21, 37 ], [ 3, 6, 10, 24, 35 ], [ 1, 2, 7, 8, 28 ], [ 5, 9, 12, 23, 33 ], [ 5, 8, 10, 17, 18 ], [ 4, 10, 12, 25, 32 ], [ 8, 11, 13, 25, 27 ], 
  [ 1, 6, 12, 14, 29 ], [ 2, 10, 13, 14, 15 ], [ 4, 14, 18, 24, 28 ], [ 12, 15, 16, 17, 31 ] ];

k5_g5[42,2] := [ [ 12, 17, 26, 27, 35 ], [ 4, 21, 23, 36, 38 ], [ 18, 23, 32, 33, 39 ], [ 2, 13, 24, 33, 40 ], [ 8, 27, 29, 40, 41 ], 
          [ 7, 9, 22, 25, 30 ], [ 6, 24, 29, 37, 38 ], [ 5, 19, 30, 38, 42 ], [ 6, 10, 19, 20, 28 ], [ 9, 14, 33, 35, 42 ], 
          [ 13, 15, 28, 31, 36 ], [ 1, 14, 16, 29, 32 ], [ 4, 11, 30, 35, 41 ], [ 10, 12, 25, 36, 41 ], [ 11, 16, 25, 26, 34 ], 
          [ 12, 15, 20, 38, 39 ], [ 1, 19, 21, 34, 40 ], [ 3, 20, 22, 35, 37 ], [ 8, 9, 17, 36, 39 ], [ 9, 16, 18, 31, 40 ], 
          [ 2, 17, 22, 31, 32 ], [ 6, 18, 21, 26, 41 ], [ 2, 3, 25, 27, 42 ], [ 4, 7, 26, 28, 39 ], [ 6, 14, 15, 23, 40 ], [ 1, 15, 22, 24, 42 ], 
          [ 1, 5, 23, 28, 37 ], [ 9, 11, 24, 27, 32 ], [ 5, 7, 12, 31, 33 ], [ 6, 8, 13, 32, 34 ], [ 11, 20, 21, 29, 42 ], [ 3, 12, 21, 28, 30 ], 
          [ 3, 4, 10, 29, 34 ], [ 15, 17, 30, 33, 37 ], [ 1, 10, 13, 18, 38 ], [ 2, 11, 14, 19, 37 ], [ 7, 18, 27, 34, 36 ], [ 2, 7, 8, 16, 35 ], 
          [ 3, 16, 19, 24, 41 ], [ 4, 5, 17, 20, 25 ], [ 5, 13, 14, 22, 39 ], [ 8, 10, 23, 26, 31 ] ];

k5_g5[44,1] := [ [ 17, 23, 25, 35, 41 ], [ 12, 20, 28, 35, 42 ], [ 17, 21, 29, 31, 34 ], [ 20, 30, 32, 39, 43 ], [ 28, 31, 33, 36, 37 ], [ 19, 26, 32, 34, 41 ], 
  [ 21, 30, 33, 35, 38 ], [ 22, 32, 35, 37, 40 ], [ 17, 20, 26, 36, 38 ], [ 23, 34, 37, 39, 42 ], [ 18, 25, 31, 38, 40 ], [ 2, 36, 39, 41, 44 ], [ 24, 29, 33, 40, 42 ], [ 27, 38, 41, 42, 43 ], [ 22, 26, 31, 42, 44 ], 
  [ 17, 19, 28, 40, 43 ], [ 1, 3, 9, 16, 44 ], [ 11, 27, 29, 37, 44 ], [ 6, 16, 24, 37, 38 ], [ 2, 4, 9, 23, 31 ], [ 3, 7, 23, 27, 32 ], [ 8, 15, 25, 27, 33 ], 
  [ 1, 10, 20, 21, 24 ], [ 13, 19, 23, 30, 36 ], [ 1, 11, 22, 34, 43 ], [ 6, 9, 15, 39, 40 ], [ 14, 18, 21, 22, 28 ], [ 2, 5, 16, 27, 30 ], [ 3, 13, 18, 35, 43 ], [ 4, 7, 24, 28, 41 ], [ 3, 5, 11, 15, 20 ], 
  [ 4, 6, 8, 21, 44 ], [ 5, 7, 13, 22, 39 ], [ 3, 6, 10, 25, 36 ], [ 1, 2, 7, 8, 29 ], [ 5, 9, 12, 24, 34 ], [ 5, 8, 10, 18, 19 ], [ 7, 9, 11, 14, 19 ], 
  [ 4, 10, 12, 26, 33 ], [ 8, 11, 13, 16, 26 ], [ 1, 6, 12, 14, 30 ], [ 2, 10, 13, 14, 15 ], [ 4, 14, 16, 25, 29 ], [ 12, 15, 17, 18, 32 ] ];

k5_g5[46,1] := [ [ 19, 25, 27, 37, 43 ], [ 23, 26, 28, 30, 41 ], [ 25, 28, 29, 32, 42 ], [ 14, 22, 30, 37, 44 ], [ 19, 23, 31, 33, 36 ], [ 22, 32, 34, 41, 45 ], 
  [ 30, 33, 35, 38, 39 ], [ 21, 28, 34, 36, 43 ], [ 23, 32, 35, 37, 40 ], [ 24, 34, 37, 39, 42 ], [ 19, 22, 28, 38, 40 ], [ 25, 36, 39, 41, 44 ], [ 20, 27, 33, 40, 42 ], [ 4, 38, 41, 43, 46 ], [ 26, 31, 35, 42, 44 ], 
  [ 29, 40, 43, 44, 45 ], [ 24, 28, 33, 44, 46 ], [ 19, 21, 30, 42, 45 ], [ 1, 5, 11, 18, 46 ], [ 13, 29, 31, 39, 46 ], [ 8, 18, 26, 39, 40 ], [ 4, 6, 11, 25, 33 ], 
  [ 2, 5, 9, 25, 34 ], [ 10, 17, 27, 29, 35 ], [ 1, 3, 12, 22, 23 ], [ 2, 15, 21, 32, 38 ], [ 1, 13, 24, 36, 45 ], [ 2, 3, 8, 11, 17 ], [ 3, 16, 20, 24, 30 ], [ 2, 4, 7, 18, 29 ], [ 5, 15, 20, 37, 45 ], 
  [ 3, 6, 9, 26, 43 ], [ 5, 7, 13, 17, 22 ], [ 6, 8, 10, 23, 46 ], [ 7, 9, 15, 24, 41 ], [ 5, 8, 12, 27, 38 ], [ 1, 4, 9, 10, 31 ], [ 7, 11, 14, 26, 36 ], [ 7, 10, 12, 20, 21 ], 
  [ 9, 11, 13, 16, 21 ], [ 2, 6, 12, 14, 35 ], [ 3, 10, 13, 15, 18 ], [ 1, 8, 14, 16, 32 ], [ 4, 12, 15, 16, 17 ], [ 6, 16, 18, 27, 31 ], [ 14, 17, 19, 20, 34 ] ];

k5_g5[48,1] := [ [ 19, 26, 28, 39, 45 ], [ 24, 27, 29, 32, 43 ], [ 26, 29, 31, 34, 44 ], [ 23, 30, 32, 39, 46 ], [ 19, 30, 33, 35, 38 ], [ 23, 34, 36, 43, 47 ], 
  [ 20, 32, 35, 37, 40 ], [ 22, 29, 36, 38, 45 ], [ 24, 34, 37, 39, 42 ], [ 25, 36, 39, 41, 44 ], [ 19, 23, 29, 40, 42 ], [ 26, 38, 41, 43, 46 ], [ 21, 28, 35, 42, 44 ], [ 30, 40, 43, 45, 48 ], [ 27, 33, 37, 44, 46 ], 
  [ 20, 31, 42, 45, 47 ], [ 25, 29, 35, 46, 48 ], [ 19, 22, 32, 44, 47 ], [ 1, 5, 11, 18, 48 ], [ 7, 16, 22, 24, 46 ], [ 13, 31, 33, 41, 48 ], [ 8, 18, 20, 27, 41 ], 
  [ 4, 6, 11, 26, 35 ], [ 2, 9, 20, 26, 36 ], [ 10, 17, 28, 31, 37 ], [ 1, 3, 12, 23, 24 ], [ 2, 15, 22, 34, 40 ], [ 1, 13, 25, 38, 47 ], [ 2, 3, 8, 11, 17 ], [ 4, 5, 14, 41, 42 ], [ 3, 16, 21, 25, 32 ], 
  [ 2, 4, 7, 18, 31 ], [ 5, 15, 21, 39, 47 ], [ 3, 6, 9, 27, 45 ], [ 5, 7, 13, 17, 23 ], [ 6, 8, 10, 24, 48 ], [ 7, 9, 15, 25, 43 ], [ 5, 8, 12, 28, 40 ], 
  [ 1, 4, 9, 10, 33 ], [ 7, 11, 14, 27, 38 ], [ 10, 12, 21, 22, 30 ], [ 9, 11, 13, 16, 30 ], [ 2, 6, 12, 14, 37 ], [ 3, 10, 13, 15, 18 ], [ 1, 8, 14, 16, 34 ], [ 4, 12, 15, 17, 20 ], [ 6, 16, 18, 28, 33 ], [ 14, 17, 19, 21, 36 ] ];

k5_g5[48,2] := [ [ 29, 30, 33, 34, 38 ], [ 16, 22, 40, 41, 46 ], [ 23, 36, 39, 40, 45 ], [ 6, 31, 34, 43, 46 ], [ 15, 20, 24, 42, 43 ], 
          [ 4, 9, 42, 44, 45 ], [ 27, 31, 33, 42, 48 ], [ 23, 24, 29, 41, 47 ], [ 6, 28, 36, 37, 47 ], [ 11, 12, 21, 31, 37 ], 
          [ 10, 13, 36, 41, 48 ], [ 10, 22, 26, 35, 47 ], [ 11, 19, 38, 46, 47 ], [ 16, 17, 20, 33, 37 ], [ 5, 17, 21, 45, 48 ], 
          [ 2, 14, 30, 35, 48 ], [ 14, 15, 18, 19, 23 ], [ 17, 34, 35, 39, 42 ], [ 13, 17, 30, 43, 44 ], [ 5, 14, 32, 41, 44 ], 
          [ 10, 15, 28, 38, 40 ], [ 2, 12, 25, 38, 42 ], [ 3, 8, 17, 25, 46 ], [ 5, 8, 26, 27, 36 ], [ 22, 23, 27, 28, 44 ], 
          [ 12, 24, 28, 32, 46 ], [ 7, 24, 25, 37, 40 ], [ 9, 21, 25, 26, 34 ], [ 1, 8, 31, 35, 44 ], [ 1, 16, 19, 32, 36 ], [ 4, 7, 10, 29, 32 ],
          [ 20, 26, 30, 31, 45 ], [ 1, 7, 14, 45, 47 ], [ 1, 4, 18, 28, 48 ], [ 12, 16, 18, 29, 43 ], [ 3, 9, 11, 24, 30 ], [ 9, 10, 14, 27, 39 ],
          [ 1, 13, 21, 22, 39 ], [ 3, 18, 37, 38, 41 ], [ 2, 3, 21, 27, 43 ], [ 2, 8, 11, 20, 39 ], [ 5, 6, 7, 18, 22 ], [ 4, 5, 19, 35, 40 ], 
          [ 6, 19, 20, 25, 29 ], [ 3, 6, 15, 32, 33 ], [ 2, 4, 13, 23, 26 ], [ 8, 9, 12, 13, 33 ], [ 7, 11, 15, 16, 34 ] ];

k5_g5[50,1] := [ [ 26, 28, 35, 42, 49 ], [ 21, 28, 30, 41, 47 ], [ 26, 29, 31, 34, 45 ], [ 28, 31, 33, 36, 46 ], [ 25, 32, 34, 41, 48 ], [ 21, 32, 35, 37, 40 ], 
  [ 25, 36, 38, 45, 49 ], [ 22, 34, 37, 39, 42 ], [ 24, 31, 38, 40, 47 ], [ 26, 36, 39, 41, 44 ], [ 23, 29, 33, 40, 42 ], [ 27, 38, 41, 43, 46 ], [ 21, 25, 31, 42, 44 ], [ 28, 40, 43, 45, 48 ], [ 23, 30, 37, 44, 46 ], 
  [ 32, 42, 45, 47, 50 ], [ 29, 35, 39, 46, 48 ], [ 22, 33, 44, 47, 49 ], [ 27, 31, 37, 48, 50 ], [ 21, 24, 34, 46, 49 ], [ 2, 6, 13, 20, 50 ], [ 8, 18, 24, 26, 48 ], 
  [ 11, 15, 35, 43, 50 ], [ 9, 20, 22, 29, 43 ], [ 5, 7, 13, 28, 37 ], [ 1, 3, 10, 22, 38 ], [ 12, 19, 30, 33, 39 ], [ 1, 2, 4, 14, 25 ], [ 3, 11, 17, 24, 36 ], [ 2, 15, 27, 40, 49 ], [ 3, 4, 9, 13, 19 ], 
  [ 5, 6, 16, 43, 44 ], [ 4, 11, 18, 27, 34 ], [ 3, 5, 8, 20, 33 ], [ 1, 6, 17, 23, 41 ], [ 4, 7, 10, 29, 47 ], [ 6, 8, 15, 19, 25 ], [ 7, 9, 12, 26, 50 ], 
  [ 8, 10, 17, 27, 45 ], [ 6, 9, 11, 14, 30 ], [ 2, 5, 10, 12, 35 ], [ 1, 8, 11, 13, 16 ], [ 12, 14, 23, 24, 32 ], [ 10, 13, 15, 18, 32 ], [ 3, 7, 14, 16, 39 ], [ 4, 12, 15, 17, 20 ], [ 2, 9, 16, 18, 36 ], [ 5, 14, 17, 19, 22 ], 
  [ 1, 7, 18, 20, 30 ], [ 16, 19, 21, 23, 38 ] ];

k5_g5[50,2] := [ [ 30, 31, 34, 37, 43 ], [ 4, 11, 23, 32, 50 ], [ 4, 38, 41, 43, 47 ], [ 2, 3, 39, 44, 48 ], [ 8, 18, 30, 32, 39 ], 
          [ 9, 19, 26, 33, 40 ], [ 8, 20, 44, 46, 47 ], [ 5, 7, 9, 48, 50 ], [ 6, 8, 10, 17, 45 ], [ 9, 14, 27, 38, 39 ], [ 2, 15, 28, 40, 45 ], 
          [ 16, 29, 35, 41, 46 ], [ 14, 20, 29, 48, 49 ], [ 10, 13, 15, 30, 50 ], [ 11, 14, 16, 17, 26 ], [ 12, 15, 18, 27, 49 ], 
          [ 9, 15, 22, 35, 44 ], [ 5, 16, 23, 36, 45 ], [ 6, 24, 37, 46, 49 ], [ 7, 13, 25, 38, 42 ], [ 22, 25, 29, 37, 50 ], 
          [ 17, 21, 23, 30, 38 ], [ 2, 18, 22, 24, 26 ], [ 19, 23, 25, 27, 35 ], [ 20, 21, 24, 28, 36 ], [ 6, 15, 23, 31, 48 ], 
          [ 10, 16, 24, 32, 42 ], [ 11, 25, 33, 43, 49 ], [ 12, 13, 21, 34, 44 ], [ 1, 5, 14, 22, 47 ], [ 1, 26, 32, 38, 44 ], 
          [ 2, 5, 27, 31, 33 ], [ 6, 28, 32, 34, 35 ], [ 1, 29, 33, 36, 42 ], [ 12, 17, 24, 33, 39 ], [ 18, 25, 34, 40, 47 ], 
          [ 1, 19, 21, 41, 48 ], [ 3, 10, 20, 22, 31 ], [ 4, 5, 10, 35, 40 ], [ 6, 11, 36, 39, 41 ], [ 3, 12, 37, 40, 42 ], 
          [ 20, 27, 34, 41, 45 ], [ 1, 3, 28, 46, 50 ], [ 4, 7, 17, 29, 31 ], [ 9, 11, 18, 42, 46 ], [ 7, 12, 19, 43, 45 ], [ 3, 7, 30, 36, 49 ], 
          [ 4, 8, 13, 26, 37 ], [ 13, 16, 19, 28, 47 ], [ 2, 8, 14, 21, 43 ] ];

k5_g5[52,1] := [ [ 28, 30, 37, 44, 51 ], [ 23, 30, 32, 43, 49 ], [ 28, 31, 33, 36, 47 ], [ 30, 33, 35, 38, 48 ], [ 27, 34, 36, 43, 50 ], [ 32, 35, 37, 40, 52 ], 
  [ 25, 29, 36, 38, 49 ], [ 23, 34, 37, 39, 42 ], [ 27, 38, 40, 47, 51 ], [ 24, 36, 39, 41, 44 ], [ 26, 33, 40, 42, 49 ], [ 28, 38, 41, 43, 46 ], [ 25, 31, 35, 42, 44 ], [ 29, 40, 43, 45, 48 ], [ 23, 27, 33, 44, 46 ], 
  [ 30, 42, 45, 47, 50 ], [ 25, 32, 39, 46, 48 ], [ 34, 44, 47, 49, 52 ], [ 31, 37, 41, 48, 50 ], [ 24, 35, 46, 49, 51 ], [ 29, 33, 39, 50, 52 ], [ 23, 26, 36, 48, 51 ], 
  [ 2, 8, 15, 22, 52 ], [ 10, 20, 26, 28, 50 ], [ 7, 13, 17, 45, 52 ], [ 11, 22, 24, 31, 45 ], [ 5, 9, 15, 30, 39 ], [ 1, 3, 12, 24, 40 ], [ 7, 14, 21, 35, 41 ], [ 1, 2, 4, 16, 27 ], [ 3, 13, 19, 26, 38 ], 
  [ 2, 6, 17, 42, 51 ], [ 3, 4, 11, 15, 21 ], [ 5, 8, 18, 45, 46 ], [ 4, 6, 13, 20, 29 ], [ 3, 5, 7, 10, 22 ], [ 1, 6, 8, 19, 43 ], [ 4, 7, 9, 12, 31 ], 
  [ 8, 10, 17, 21, 27 ], [ 6, 9, 11, 14, 28 ], [ 10, 12, 19, 29, 47 ], [ 8, 11, 13, 16, 32 ], [ 2, 5, 12, 14, 37 ], [ 1, 10, 13, 15, 18 ], [ 14, 16, 25, 26, 34 ], [ 12, 15, 17, 20, 34 ], [ 3, 9, 16, 18, 41 ], [ 4, 14, 17, 19, 22 ], 
  [ 2, 7, 11, 18, 20 ], [ 5, 16, 19, 21, 24 ], [ 1, 9, 20, 22, 32 ], [ 6, 18, 21, 23, 25 ] ];

k5_g5[54,1] := [ [ 30, 32, 39, 46, 53 ], [ 28, 31, 33, 36, 48 ], [ 25, 32, 34, 45, 51 ], [ 30, 33, 35, 38, 49 ], [ 34, 36, 43, 47, 53 ], [ 32, 35, 37, 40, 50 ], 
  [ 29, 36, 38, 45, 52 ], [ 34, 37, 39, 42, 54 ], [ 27, 31, 38, 40, 51 ], [ 25, 36, 39, 41, 44 ], [ 29, 40, 42, 49, 53 ], [ 26, 38, 41, 43, 46 ], [ 28, 35, 42, 44, 51 ], [ 30, 40, 43, 45, 48 ], [ 27, 33, 37, 44, 46 ], 
  [ 31, 42, 45, 47, 50 ], [ 25, 29, 35, 46, 48 ], [ 32, 44, 47, 49, 52 ], [ 27, 34, 41, 48, 50 ], [ 36, 46, 49, 51, 54 ], [ 33, 39, 43, 50, 52 ], [ 26, 37, 48, 51, 53 ], 
  [ 31, 35, 41, 52, 54 ], [ 25, 28, 38, 50, 53 ], [ 3, 10, 17, 24, 54 ], [ 12, 22, 28, 30, 52 ], [ 9, 15, 19, 47, 54 ], [ 2, 13, 24, 26, 47 ], [ 7, 11, 17, 32, 41 ], [ 1, 4, 14, 26, 42 ], [ 2, 9, 16, 23, 37 ], 
  [ 1, 3, 6, 18, 29 ], [ 2, 4, 15, 21, 40 ], [ 3, 5, 8, 19, 44 ], [ 4, 6, 13, 17, 23 ], [ 2, 5, 7, 10, 20 ], [ 6, 8, 15, 22, 31 ], [ 4, 7, 9, 12, 24 ], 
  [ 1, 8, 10, 21, 45 ], [ 6, 9, 11, 14, 33 ], [ 10, 12, 19, 23, 29 ], [ 8, 11, 13, 16, 30 ], [ 5, 12, 14, 21, 49 ], [ 10, 13, 15, 18, 34 ], [ 3, 7, 14, 16, 39 ], [ 1, 12, 15, 17, 20 ], [ 5, 16, 18, 27, 28 ], [ 2, 14, 17, 19, 22 ], 
  [ 4, 11, 18, 20, 43 ], [ 6, 16, 19, 21, 24 ], [ 3, 9, 13, 20, 22 ], [ 7, 18, 21, 23, 26 ], [ 1, 5, 11, 22, 24 ], [ 8, 20, 23, 25, 27 ] ];

k5_g5[54,2] := [ [ 21, 33, 34, 38, 46 ], [ 4, 16, 27, 40, 50 ], [ 4, 44, 45, 47, 52 ], [ 2, 3, 8, 35, 46 ], [ 7, 18, 36, 46, 49 ], 
          [ 10, 28, 33, 39, 49 ], [ 5, 12, 15, 30, 40 ], [ 4, 12, 13, 31, 54 ], [ 10, 26, 50, 51, 54 ], [ 6, 9, 12, 17, 52 ], 
          [ 13, 16, 30, 52, 53 ], [ 7, 8, 10, 19, 37 ], [ 8, 11, 18, 20, 47 ], [ 18, 19, 23, 33, 48 ], [ 7, 21, 44, 48, 53 ], 
          [ 2, 11, 23, 41, 49 ], [ 10, 23, 24, 42, 46 ], [ 5, 13, 14, 28, 32 ], [ 12, 14, 26, 29, 44 ], [ 13, 26, 27, 41, 45 ], 
          [ 1, 15, 23, 29, 54 ], [ 24, 28, 40, 41, 54 ], [ 14, 16, 17, 21, 31 ], [ 17, 22, 26, 30, 32 ], [ 27, 30, 31, 35, 44 ], 
          [ 9, 19, 20, 24, 34 ], [ 2, 20, 25, 33, 53 ], [ 6, 18, 22, 35, 53 ], [ 19, 21, 35, 36, 52 ], [ 7, 11, 24, 25, 43 ], 
          [ 8, 23, 25, 38, 50 ], [ 18, 24, 38, 39, 51 ], [ 1, 6, 14, 27, 42 ], [ 1, 26, 40, 43, 52 ], [ 4, 25, 28, 29, 42 ], 
          [ 5, 29, 38, 41, 43 ], [ 12, 39, 41, 42, 50 ], [ 1, 31, 32, 36, 45 ], [ 6, 32, 37, 40, 44 ], [ 2, 7, 22, 34, 39 ], 
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          [ 3, 10, 11, 29, 34 ], [ 11, 15, 27, 28, 51 ], [ 8, 9, 21, 22, 45 ] ];

k5_g5[56,1] := [ [ 30, 32, 39, 43, 49 ], [ 28, 31, 33, 36, 46 ], [ 32, 34, 41, 48, 55 ], [ 30, 33, 35, 38, 50 ], [ 27, 34, 36, 47, 53 ], [ 32, 35, 37, 40, 51 ], 
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k5_g5[56,2] := [ [ 10, 30, 32, 40, 45 ], [ 6, 17, 28, 36, 50 ], [ 5, 24, 38, 39, 46 ], [ 18, 38, 40, 48, 52 ], [ 3, 21, 23, 31, 53 ], 
          [ 2, 11, 34, 42, 44 ], [ 13, 25, 36, 44, 55 ], [ 14, 19, 26, 27, 41 ], [ 12, 32, 46, 47, 53 ], [ 1, 15, 29, 37, 48 ], 
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          [ 8, 11, 31, 45, 52 ], [ 8, 16, 21, 42, 56 ], [ 2, 22, 25, 45, 47 ], [ 10, 12, 23, 35, 55 ], [ 1, 24, 36, 41, 49 ], 
          [ 5, 12, 26, 37, 49 ], [ 1, 9, 38, 43, 50 ], [ 14, 15, 22, 36, 54 ], [ 6, 16, 19, 39, 52 ], [ 14, 16, 24, 29, 50 ], 
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          [ 5, 9, 17, 19, 48 ], [ 11, 18, 19, 33, 56 ], [ 7, 21, 29, 40, 43 ], [ 12, 17, 25, 27, 54 ] ];

k5_g5[56,3] := [ [ 10, 24, 37, 38, 48 ], [ 6, 20, 25, 42, 44 ], [ 5, 30, 31, 32, 53 ], [ 18, 32, 45, 46, 54 ], [ 3, 15, 29, 39, 46 ], 
          [ 2, 19, 26, 36, 50 ], [ 13, 28, 33, 50, 51 ], [ 11, 14, 33, 34, 35 ], [ 12, 38, 39, 40, 56 ], [ 1, 21, 23, 40, 45 ], 
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          [ 6, 11, 37, 39, 54 ], [ 13, 14, 24, 42, 54 ], [ 7, 14, 25, 39, 52 ], [ 5, 18, 23, 43, 50 ], [ 3, 24, 33, 43, 44 ], 
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          [ 3, 11, 12, 25, 48 ], [ 4, 25, 26, 27, 56 ], [ 13, 15, 32, 37, 43 ], [ 9, 19, 20, 33, 54 ] ];

k5_g5[58,1] := [ [ 30, 32, 43, 49, 53 ], [ 31, 33, 36, 47, 58 ], [ 32, 34, 41, 45, 51 ], [ 30, 33, 35, 38, 48 ], [ 34, 36, 43, 50, 57 ], [ 32, 35, 37, 40, 52 ], 
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k5_g5[60,1] := [ [ 36, 44, 54, 58, 60 ], [ 30, 34, 36, 45, 59 ], [ 35, 41, 43, 45, 60 ], [ 21, 45, 46, 47, 53 ], [ 20, 47, 52, 54, 56 ], 
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          [ 12, 38, 57, 58, 59 ], [ 6, 10, 12, 39, 60 ], [ 11, 37, 39, 43, 58 ], [ 6, 33, 34, 35, 51 ], [ 5, 34, 49, 50, 58 ], 
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          [ 6, 13, 14, 22, 28 ], [ 20, 28, 38, 44, 45 ], [ 14, 20, 21, 29, 43 ], [ 19, 25, 29, 30, 44 ], [ 5, 29, 31, 33, 37 ], 
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          [ 2, 16, 25, 27, 31 ], [ 1, 3, 7, 17, 25 ] ];

k5_g5[60,2] := [ [ 35, 43, 44, 48, 54 ], [ 30, 44, 57, 58, 59 ], [ 33, 34, 35, 41, 59 ], [ 20, 45, 52, 53, 59 ], [ 19, 20, 24, 48, 56 ], 
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          [ 11, 37, 38, 46, 57 ], [ 6, 38, 51, 59, 60 ], [ 9, 10, 11, 43, 60 ], [ 5, 33, 49, 51, 55 ], [ 4, 5, 11, 36, 58 ], 
          [ 8, 27, 35, 36, 51 ], [ 9, 25, 27, 31, 48 ], [ 12, 27, 38, 44, 45 ], [ 5, 7, 9, 34, 45 ], [ 22, 40, 41, 47, 51 ], 
          [ 15, 40, 54, 58, 60 ], [ 21, 22, 23, 37, 58 ], [ 7, 42, 49, 50, 58 ], [ 7, 8, 12, 47, 52 ], [ 2, 39, 47, 48, 49 ], 
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          [ 2, 20, 26, 27, 28 ], [ 2, 3, 4, 17, 31 ], [ 7, 13, 17, 18, 26 ] ];

k5_g5[60,3] := [ [ 12, 44, 48, 54, 56 ], [ 6, 30, 32, 57, 59 ], [ 8, 33, 35, 41, 47 ], [ 9, 41, 45, 53, 59 ], [ 10, 20, 24, 56, 60 ], 
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          [ 1, 5, 37, 41, 51 ], [ 2, 8, 16, 20, 52 ], [ 14, 20, 26, 28, 53 ], [ 2, 4, 29, 31, 55 ], [ 5, 7, 13, 17, 49 ] ];