k5_g6 := List([1..84], i -> []);

k5_g6[46,1] := [ [ 24, 30, 32, 42, 46 ], [ 3, 7, 17, 19, 25 ], [ 2, 26, 32, 34, 44 ], [ 5, 9, 19, 21, 27 ], [ 4, 28, 34, 36, 46 ], [ 7, 11, 21, 23, 29 ], 
          [ 2, 6, 30, 36, 38 ], [ 9, 13, 23, 25, 31 ], [ 4, 8, 32, 38, 40 ], [ 11, 15, 25, 27, 33 ], [ 6, 10, 34, 40, 42 ], [ 13, 17, 27, 29, 35 ], [ 8, 12, 36, 42, 44 ], [ 15, 19, 29, 31, 37 ], [ 10, 14, 38, 44, 46 ], 
          [ 17, 21, 31, 33, 39 ], [ 2, 12, 16, 40, 46 ], [ 19, 23, 33, 35, 41 ], [ 2, 4, 14, 18, 42 ], [ 21, 25, 35, 37, 43 ], [ 4, 6, 16, 20, 44 ], 
          [ 23, 27, 37, 39, 45 ], [ 6, 8, 18, 22, 46 ], [ 1, 25, 29, 39, 41 ], [ 2, 8, 10, 20, 24 ], [ 3, 27, 31, 41, 43 ], [ 4, 10, 12, 22, 26 ], [ 5, 29, 33, 43, 45 ], [ 6, 12, 14, 24, 28 ], [ 1, 7, 31, 35, 45 ], 
          [ 8, 14, 16, 26, 30 ], [ 1, 3, 9, 33, 37 ], [ 10, 16, 18, 28, 32 ], [ 3, 5, 11, 35, 39 ], [ 12, 18, 20, 30, 34 ], [ 5, 7, 13, 37, 41 ], 
          [ 14, 20, 22, 32, 36 ], [ 7, 9, 15, 39, 43 ], [ 16, 22, 24, 34, 38 ], [ 9, 11, 17, 41, 45 ], [ 18, 24, 26, 36, 40 ], [ 1, 11, 13, 19, 43 ], [ 20, 26, 28, 38, 42 ], [ 3, 13, 15, 21, 45 ], [ 22, 28, 30, 40, 44 ], 
          [ 1, 5, 15, 17, 23 ] ];

k5_g6[48,1] := [ [ 11, 12, 21, 36, 38 ], [ 4, 7, 16, 30, 32 ], [ 5, 14, 32, 43, 45 ], [ 2, 10, 12, 25, 46 ], [ 3, 8, 22, 24, 25 ], [ 9, 26, 27, 36, 46 ], 
          [ 2, 8, 11, 27, 40 ], [ 5, 7, 18, 29, 31 ], [ 6, 14, 18, 19, 42 ], [ 4, 15, 20, 31, 43 ], [ 1, 7, 14, 20, 48 ], [ 1, 4, 18, 33, 35 ], [ 16, 19, 29, 43, 48 ], [ 3, 9, 11, 23, 37 ], [ 10, 21, 24, 27, 39 ], [ 2, 13, 22, 37, 39 ],
          [ 21, 23, 40, 41, 46 ], [ 8, 9, 12, 39, 41 ], [ 9, 13, 21, 25, 47 ], [ 10, 11, 22, 26, 41 ], [ 1, 15, 17, 19, 32 ], [ 5, 16, 20, 33, 42 ], [ 14, 17, 29, 33, 34 ], 
          [ 5, 15, 30, 35, 48 ], [ 4, 5, 19, 34, 44 ], [ 6, 20, 29, 32, 35 ], [ 6, 7, 15, 33, 44 ], [ 31, 32, 34, 42, 48 ], [ 8, 13, 23, 26, 38 ], [ 2, 24, 36, 41, 47 ], [ 8, 10, 28, 37, 47 ], [ 2, 3, 21, 26, 28 ], 
          [ 12, 22, 23, 27, 47 ], [ 23, 25, 28, 36, 39 ], [ 12, 24, 26, 37, 40 ], [ 1, 6, 30, 34, 43 ], [ 14, 16, 31, 35, 44 ], [ 1, 29, 42, 44, 45 ], [ 15, 16, 18, 34, 45 ], 
          [ 7, 17, 35, 42, 43 ], [ 17, 18, 20, 30, 44 ], [ 9, 22, 28, 38, 40 ], [ 3, 10, 13, 36, 40 ], [ 25, 27, 37, 38, 41 ], [ 3, 38, 39, 46, 47 ], [ 4, 6, 17, 45, 48 ], [ 19, 30, 31, 33, 45 ], [ 11, 13, 24, 28, 46 ] ];

k5_g6[50,1] := [ [ 36, 37, 42, 44, 50 ], [ 3, 13, 15, 22, 23 ], [ 2, 20, 42, 43, 48 ], [ 10, 26, 43, 44, 47 ], [ 7, 21, 23, 31, 32 ], [ 8, 22, 24, 32, 33 ], 
          [ 5, 20, 29, 47, 50 ], [ 6, 17, 30, 47, 48 ], [ 10, 18, 35, 48, 50 ], [ 4, 9, 13, 32, 39 ], [ 14, 31, 33, 39, 40 ], [ 15, 32, 34, 40, 41 ], [ 2, 10, 29, 30, 37 ], [ 11, 26, 30, 38, 50 ], [ 2, 12, 17, 27, 50 ], 
          [ 17, 18, 26, 28, 42 ], [ 8, 15, 16, 21, 39 ], [ 9, 16, 22, 40, 45 ], [ 23, 39, 41, 45, 46 ], [ 3, 7, 24, 40, 46 ], [ 5, 17, 37, 38, 43 ], [ 2, 6, 18, 38, 44 ], 
          [ 2, 5, 19, 26, 35 ], [ 6, 20, 26, 27, 36 ], [ 27, 28, 35, 37, 47 ], [ 4, 14, 16, 23, 24 ], [ 15, 24, 25, 31, 45 ], [ 16, 25, 32, 46, 49 ], [ 7, 13, 33, 45, 49 ], [ 8, 13, 14, 34, 46 ], [ 5, 11, 27, 44, 48 ], 
          [ 5, 6, 10, 12, 28 ], [ 6, 11, 29, 35, 42 ], [ 12, 30, 35, 36, 43 ], [ 9, 23, 25, 33, 34 ], [ 1, 24, 34, 39, 49 ], [ 1, 13, 21, 25, 40 ], [ 14, 21, 22, 41, 49 ], 
          [ 10, 11, 17, 19, 36 ], [ 11, 12, 18, 20, 37 ], [ 12, 19, 38, 42, 47 ], [ 1, 3, 16, 33, 41 ], [ 3, 4, 21, 34, 45 ], [ 1, 4, 22, 31, 46 ], [ 18, 19, 27, 29, 43 ], [ 19, 20, 28, 30, 44 ], [ 4, 7, 8, 25, 41 ], 
          [ 3, 8, 9, 31, 49 ], [ 28, 29, 36, 38, 48 ], [ 1, 7, 9, 14, 15 ] ];

k5_g6[50,2] := [ [ 35, 37, 38, 48, 50 ], [ 3, 7, 21, 22, 24 ], [ 2, 12, 43, 44, 50 ], [ 5, 17, 26, 42, 44 ], [ 4, 7, 13, 31, 33 ], [ 8, 14, 31, 32, 34 ], 
          [ 2, 5, 19, 47, 48 ], [ 6, 10, 20, 26, 48 ], [ 10, 11, 27, 35, 47 ], [ 8, 9, 13, 21, 40 ], [ 9, 14, 22, 39, 41 ], [ 3, 15, 23, 39, 40 ], [ 5, 10, 28, 30, 50 ], [ 6, 11, 17, 29, 50 ], [ 12, 17, 18, 30, 35 ], 
          [ 18, 19, 36, 42, 50 ], [ 4, 14, 15, 21, 45 ], [ 15, 16, 22, 31, 46 ], [ 7, 16, 23, 32, 45 ], [ 8, 24, 33, 45, 46 ], [ 2, 10, 17, 36, 38 ], 
          [ 2, 11, 18, 26, 37 ], [ 12, 19, 26, 27, 38 ], [ 2, 20, 27, 28, 42 ], [ 26, 28, 29, 43, 47 ], [ 4, 8, 22, 23, 25 ], [ 9, 23, 24, 31, 49 ], [ 13, 24, 25, 32, 39 ], [ 14, 25, 33, 40, 49 ], [ 13, 15, 34, 41, 49 ], 
          [ 5, 6, 18, 27, 43 ], [ 6, 19, 28, 35, 44 ], [ 5, 20, 29, 35, 36 ], [ 6, 30, 36, 37, 47 ], [ 1, 9, 15, 32, 33 ], [ 16, 21, 33, 34, 39 ], 
          [ 1, 22, 34, 40, 45 ], [ 1, 21, 23, 41, 46 ], [ 11, 12, 28, 36, 48 ], [ 10, 12, 29, 37, 42 ], [ 11, 30, 38, 42, 43 ], [ 4, 16, 24, 40, 41 ], [ 3, 25, 31, 41, 45 ], [ 3, 4, 32, 46, 49 ], [ 17, 19, 20, 37, 43 ], 
          [ 18, 20, 38, 44, 47 ], [ 7, 9, 25, 34, 46 ], [ 1, 7, 8, 39, 49 ], [ 27, 29, 30, 44, 48 ], [ 1, 3, 13, 14, 16 ] ];

k5_g6[50,3] := [ [ 35, 37, 38, 42, 48 ], [ 7, 15, 21, 22, 24 ], [ 12, 20, 43, 44, 50 ], [ 5, 17, 42, 44, 47 ], [ 4, 13, 23, 31, 33 ], [ 14, 24, 31, 32, 34 ], 
          [ 2, 19, 29, 47, 48 ], [ 10, 20, 26, 30, 48 ], [ 10, 11, 27, 47, 50 ], [ 8, 9, 21, 32, 40 ], [ 9, 22, 33, 39, 41 ], [ 3, 23, 34, 39, 40 ], [ 5, 28, 30, 37, 50 ], [ 6, 17, 29, 38, 50 ], [ 2, 17, 18, 30, 35 ], 
          [ 18, 19, 26, 36, 50 ], [ 4, 14, 15, 39, 45 ], [ 15, 16, 31, 40, 46 ], [ 7, 16, 32, 41, 45 ], [ 3, 8, 33, 45, 46 ], [ 2, 10, 36, 38, 43 ], [ 2, 11, 26, 37, 44 ], 
          [ 5, 12, 26, 27, 38 ], [ 2, 6, 27, 28, 42 ], [ 26, 28, 29, 35, 43 ], [ 8, 16, 22, 23, 25 ], [ 9, 23, 24, 45, 49 ], [ 13, 24, 25, 39, 46 ], [ 7, 14, 25, 40, 49 ], [ 8, 13, 15, 41, 49 ], [ 5, 6, 18, 43, 48 ], 
          [ 6, 10, 19, 35, 44 ], [ 5, 11, 20, 35, 36 ], [ 6, 12, 36, 37, 47 ], [ 1, 15, 25, 32, 33 ], [ 16, 21, 33, 34, 49 ], [ 1, 13, 22, 34, 45 ], [ 1, 14, 21, 23, 46 ], 
          [ 11, 12, 17, 28, 48 ], [ 10, 12, 18, 29, 42 ], [ 11, 19, 30, 42, 43 ], [ 1, 4, 24, 40, 41 ], [ 3, 21, 25, 31, 41 ], [ 3, 4, 22, 32, 49 ], [ 17, 19, 20, 27, 37 ], [ 18, 20, 28, 38, 47 ], [ 4, 7, 9, 34, 46 ], 
          [ 1, 7, 8, 31, 39 ], [ 27, 29, 30, 36, 44 ], [ 3, 9, 13, 14, 16 ] ];

k5_g6[52,1] := [ [ 25, 37, 41, 42, 50 ], [ 4, 12, 19, 23, 35 ], [ 22, 34, 38, 45, 52 ], [ 2, 29, 41, 45, 46 ], [ 7, 15, 16, 20, 32 ], [ 8, 16, 23, 27, 39 ], 
          [ 5, 26, 38, 42, 49 ], [ 6, 33, 45, 49, 50 ], [ 11, 19, 20, 24, 36 ], [ 12, 20, 27, 31, 43 ], [ 9, 30, 42, 46, 52 ], [ 2, 10, 37, 49, 52 ], [ 15, 23, 24, 28, 40 ], [ 16, 24, 31, 35, 47 ], [ 5, 13, 34, 46, 50 ], 
          [ 5, 6, 14, 41, 52 ], [ 19, 27, 28, 32, 44 ], [ 20, 28, 35, 39, 51 ], [ 2, 9, 17, 38, 50 ], [ 5, 9, 10, 18, 45 ], [ 23, 31, 32, 36, 48 ], [ 3, 24, 32, 39, 43 ], 
          [ 2, 6, 13, 21, 42 ], [ 9, 13, 14, 22, 49 ], [ 1, 27, 35, 36, 40 ], [ 7, 28, 36, 43, 47 ], [ 6, 10, 17, 25, 46 ], [ 13, 17, 18, 26, 52 ], [ 4, 31, 39, 40, 44 ], [ 11, 32, 40, 47, 51 ], [ 10, 14, 21, 29, 50 ], 
          [ 5, 17, 21, 22, 30 ], [ 8, 35, 43, 44, 48 ], [ 3, 15, 36, 44, 51 ], [ 2, 14, 18, 25, 33 ], [ 9, 21, 25, 26, 34 ], [ 1, 12, 39, 47, 48 ], [ 3, 7, 19, 40, 48 ], 
          [ 6, 18, 22, 29, 37 ], [ 13, 25, 29, 30, 38 ], [ 1, 4, 16, 43, 51 ], [ 1, 7, 11, 23, 44 ], [ 10, 22, 26, 33, 41 ], [ 17, 29, 33, 34, 42 ], [ 3, 4, 8, 20, 47 ], [ 4, 11, 15, 27, 48 ], [ 14, 26, 30, 37, 45 ], 
          [ 21, 33, 37, 38, 46 ], [ 7, 8, 12, 24, 51 ], [ 1, 8, 15, 19, 31 ], [ 18, 30, 34, 41, 49 ], [ 3, 11, 12, 16, 28 ] ];

k5_g6[52,2] := [ [ 25, 34, 42, 46, 52 ], [ 7, 8, 12, 20, 35 ], [ 22, 37, 45, 49, 50 ], [ 5, 29, 38, 46, 50 ], [ 4, 11, 15, 23, 32 ], [ 11, 12, 16, 24, 39 ], 
          [ 2, 26, 41, 49, 52 ], [ 2, 9, 33, 42, 50 ], [ 8, 15, 19, 27, 36 ], [ 15, 16, 20, 28, 43 ], [ 5, 6, 30, 45, 52 ], [ 2, 6, 13, 37, 46 ], [ 12, 19, 23, 31, 40 ], [ 19, 20, 24, 32, 47 ], [ 5, 9, 10, 34, 49 ], 
          [ 6, 10, 17, 41, 50 ], [ 16, 23, 27, 35, 44 ], [ 23, 24, 28, 36, 51 ], [ 9, 13, 14, 38, 52 ], [ 2, 10, 14, 21, 45 ], [ 20, 27, 31, 39, 48 ], [ 3, 27, 28, 32, 40 ], 
          [ 5, 13, 17, 18, 42 ], [ 6, 14, 18, 25, 49 ], [ 1, 24, 31, 35, 43 ], [ 7, 31, 32, 36, 44 ], [ 9, 17, 21, 22, 46 ], [ 10, 18, 22, 29, 52 ], [ 4, 28, 35, 39, 47 ], [ 11, 35, 36, 40, 48 ], [ 13, 21, 25, 26, 50 ], 
          [ 5, 14, 22, 26, 33 ], [ 8, 32, 39, 43, 51 ], [ 1, 15, 39, 40, 44 ], [ 2, 17, 25, 29, 30 ], [ 9, 18, 26, 30, 37 ], [ 3, 12, 36, 43, 47 ], [ 4, 19, 43, 44, 48 ], 
          [ 6, 21, 29, 33, 34 ], [ 13, 22, 30, 34, 41 ], [ 7, 16, 40, 47, 51 ], [ 1, 8, 23, 47, 48 ], [ 10, 25, 33, 37, 38 ], [ 17, 26, 34, 38, 45 ], [ 3, 11, 20, 44, 51 ], [ 1, 4, 12, 27, 51 ], [ 14, 29, 37, 41, 42 ], 
          [ 21, 30, 38, 42, 49 ], [ 3, 7, 15, 24, 48 ], [ 3, 4, 8, 16, 31 ], [ 18, 33, 41, 45, 46 ], [ 1, 7, 11, 19, 28 ] ];

k5_g6[52,3] := [ [ 25, 34, 41, 45, 52 ], [ 7, 15, 19, 20, 35 ], [ 22, 37, 38, 42, 50 ], [ 5, 29, 38, 45, 49 ], [ 4, 12, 16, 23, 32 ], [ 11, 19, 23, 24, 39 ], 
          [ 2, 26, 41, 42, 46 ], [ 9, 33, 42, 49, 52 ], [ 8, 16, 20, 27, 36 ], [ 15, 23, 27, 28, 43 ], [ 6, 30, 45, 46, 50 ], [ 5, 13, 37, 46, 52 ], [ 12, 20, 24, 31, 40 ], [ 19, 27, 31, 32, 47 ], [ 2, 10, 34, 49, 50 ], 
          [ 5, 9, 17, 41, 50 ], [ 16, 24, 28, 35, 44 ], [ 23, 31, 35, 36, 51 ], [ 2, 6, 14, 38, 52 ], [ 2, 9, 13, 21, 45 ], [ 20, 28, 32, 39, 48 ], [ 3, 27, 35, 39, 40 ], 
          [ 5, 6, 10, 18, 42 ], [ 6, 13, 17, 25, 49 ], [ 1, 24, 32, 36, 43 ], [ 7, 31, 39, 43, 44 ], [ 9, 10, 14, 22, 46 ], [ 10, 17, 21, 29, 52 ], [ 4, 28, 36, 40, 47 ], [ 11, 35, 43, 47, 48 ], [ 13, 14, 18, 26, 50 ], 
          [ 5, 14, 21, 25, 33 ], [ 8, 32, 40, 44, 51 ], [ 1, 15, 39, 47, 51 ], [ 2, 17, 18, 22, 30 ], [ 9, 18, 25, 29, 37 ], [ 3, 12, 36, 44, 48 ], [ 3, 4, 19, 43, 51 ], 
          [ 6, 21, 22, 26, 34 ], [ 13, 22, 29, 33, 41 ], [ 1, 7, 16, 40, 48 ], [ 3, 7, 8, 23, 47 ], [ 10, 25, 26, 30, 38 ], [ 17, 26, 33, 37, 45 ], [ 1, 4, 11, 20, 44 ], [ 7, 11, 12, 27, 51 ], [ 14, 29, 30, 34, 42 ], 
          [ 21, 30, 37, 41, 49 ], [ 4, 8, 15, 24, 48 ], [ 3, 11, 15, 16, 31 ], [ 18, 33, 34, 38, 46 ], [ 1, 8, 12, 19, 28 ] ];

k5_g6[54,1] := [ [ 44, 46, 50, 51, 54 ], [ 11, 23, 27, 35, 49 ], [ 19, 20, 34, 50, 52 ], [ 6, 8, 15, 29, 54 ], [ 18, 28, 41, 52, 54 ], [ 4, 22, 35, 39, 53 ], 
  [ 11, 24, 25, 37, 40 ], [ 4, 23, 25, 38, 47 ], [ 19, 31, 32, 45, 54 ], [ 15, 17, 33, 34, 46 ], [ 2, 7, 30, 34, 54 ], [ 16, 19, 28, 29, 42 ], [ 17, 20, 29, 41, 43 ], [ 30, 33, 41, 42, 50 ], [ 4, 10, 27, 40, 48 ], 
  [ 12, 22, 36, 37, 49 ], [ 10, 13, 35, 37, 47 ], [ 5, 24, 38, 39, 48 ], [ 3, 9, 12, 25, 39 ], [ 3, 13, 38, 49, 53 ], [ 29, 33, 44, 45, 52 ], [ 6, 16, 34, 41, 45 ], 
  [ 2, 8, 28, 31, 46 ], [ 7, 18, 29, 32, 46 ], [ 7, 8, 19, 41, 44 ], [ 31, 34, 42, 43, 51 ], [ 2, 15, 32, 43, 50 ], [ 5, 12, 23, 40, 53 ], [ 4, 12, 13, 21, 24 ], [ 11, 14, 36, 47, 48 ], [ 9, 23, 26, 37, 48 ], 
  [ 9, 24, 27, 47, 53 ], [ 10, 14, 21, 39, 49 ], [ 3, 10, 11, 22, 26 ], [ 2, 6, 17, 42, 52 ], [ 16, 30, 43, 46, 52 ], [ 7, 16, 17, 31, 50 ], [ 8, 18, 20, 42, 45 ], 
  [ 6, 18, 19, 33, 43 ], [ 7, 15, 28, 45, 51 ], [ 5, 13, 14, 22, 25 ], [ 12, 14, 26, 35, 38 ], [ 13, 26, 27, 36, 39 ], [ 1, 21, 25, 48, 53 ], [ 9, 21, 22, 38, 40 ], [ 1, 10, 23, 24, 36 ], [ 8, 17, 30, 32, 51 ], 
  [ 15, 18, 30, 31, 44 ], [ 2, 16, 20, 33, 51 ], [ 1, 3, 14, 27, 37 ], [ 1, 26, 40, 47, 49 ], [ 3, 5, 21, 35, 36 ], [ 6, 20, 28, 32, 44 ], [ 1, 4, 5, 9, 11 ] ];

k5_g6[54,2] := [ [ 43, 45, 50, 52, 54 ], [ 22, 23, 24, 49, 53 ], [ 18, 19, 34, 51, 54 ], [ 15, 17, 29, 51, 52 ], [ 15, 16, 30, 41, 54 ], [ 27, 35, 36, 40, 53 ], 
  [ 11, 22, 25, 36, 38 ], [ 23, 35, 37, 38, 39 ], [ 20, 30, 31, 34, 45 ], [ 20, 29, 33, 46, 54 ], [ 7, 28, 33, 34, 41 ], [ 17, 28, 31, 42, 54 ], [ 28, 29, 30, 32, 43 ], [ 29, 31, 41, 44, 50 ], [ 4, 5, 27, 39, 49 ], 
  [ 5, 22, 37, 40, 47 ], [ 4, 12, 35, 47, 48 ], [ 3, 24, 36, 39, 47 ], [ 3, 25, 37, 48, 49 ], [ 9, 10, 38, 47, 49 ], [ 32, 34, 44, 46, 52 ], [ 2, 7, 16, 44, 45 ], 
  [ 2, 8, 29, 34, 42 ], [ 2, 18, 41, 43, 46 ], [ 7, 19, 42, 46, 50 ], [ 32, 41, 42, 45, 51 ], [ 6, 15, 42, 43, 44 ], [ 11, 12, 13, 40, 49 ], [ 4, 10, 13, 14, 23 ], [ 5, 9, 13, 36, 48 ], [ 9, 12, 14, 37, 53 ], 
  [ 13, 21, 26, 47, 53 ], [ 10, 11, 39, 48, 53 ], [ 3, 9, 11, 21, 23 ], [ 6, 8, 17, 45, 46 ], [ 6, 7, 18, 30, 52 ], [ 8, 16, 19, 31, 52 ], [ 7, 8, 20, 43, 51 ], 
  [ 8, 15, 18, 33, 50 ], [ 6, 16, 28, 50, 51 ], [ 5, 11, 14, 24, 26 ], [ 12, 23, 25, 26, 27 ], [ 1, 13, 24, 27, 38 ], [ 14, 21, 22, 27, 48 ], [ 1, 9, 22, 26, 35 ], [ 10, 21, 24, 25, 35 ], [ 16, 17, 18, 20, 32 ], 
  [ 17, 19, 30, 33, 44 ], [ 2, 15, 19, 20, 28 ], [ 1, 14, 25, 39, 40 ], [ 3, 4, 26, 38, 40 ], [ 1, 4, 21, 36, 37 ], [ 2, 6, 31, 32, 33 ], [ 1, 3, 5, 10, 12 ] ];

k5_g6[54,3] := [ [ 43, 44, 45, 52, 54 ], [ 22, 24, 35, 49, 53 ], [ 18, 34, 50, 51, 54 ], [ 6, 17, 29, 51, 52 ], [ 15, 16, 30, 41, 52 ], [ 4, 27, 36, 40, 53 ], 
  [ 11, 22, 36, 37, 38 ], [ 23, 35, 37, 39, 47 ], [ 19, 20, 30, 34, 45 ], [ 15, 20, 29, 46, 54 ], [ 7, 28, 33, 41, 54 ], [ 16, 17, 31, 42, 54 ], [ 17, 28, 30, 32, 43 ], [ 29, 30, 31, 44, 50 ], [ 5, 10, 27, 39, 49 ], 
  [ 5, 12, 22, 40, 47 ], [ 4, 12, 13, 35, 48 ], [ 3, 24, 36, 47, 48 ], [ 9, 25, 37, 48, 49 ], [ 9, 10, 38, 47, 53 ], [ 32, 33, 34, 46, 52 ], [ 2, 7, 16, 34, 44 ], 
  [ 8, 28, 29, 34, 42 ], [ 2, 18, 29, 41, 43 ], [ 19, 41, 42, 46, 50 ], [ 31, 32, 41, 45, 51 ], [ 6, 15, 32, 42, 44 ], [ 11, 13, 23, 40, 49 ], [ 4, 10, 14, 23, 24 ], [ 5, 9, 13, 14, 36 ], [ 12, 14, 26, 37, 53 ], 
  [ 13, 21, 26, 27, 47 ], [ 11, 21, 39, 48, 53 ], [ 3, 9, 21, 22, 23 ], [ 2, 8, 17, 45, 46 ], [ 6, 7, 18, 30, 46 ], [ 7, 8, 19, 31, 52 ], [ 7, 20, 42, 43, 51 ], 
  [ 8, 15, 33, 43, 50 ], [ 6, 16, 28, 45, 50 ], [ 5, 11, 24, 25, 26 ], [ 12, 23, 25, 27, 38 ], [ 1, 13, 24, 38, 39 ], [ 1, 14, 22, 27, 48 ], [ 1, 9, 26, 35, 40 ], [ 10, 21, 25, 35, 36 ], [ 8, 16, 18, 20, 32 ], 
  [ 17, 18, 19, 33, 44 ], [ 2, 15, 19, 28, 51 ], [ 3, 14, 25, 39, 40 ], [ 3, 4, 26, 38, 49 ], [ 1, 4, 5, 21, 37 ], [ 2, 6, 20, 31, 33 ], [ 1, 3, 10, 11, 12 ] ];

k5_g6[54,4] := [ [ 42, 44, 45, 52, 54 ], [ 22, 25, 35, 49, 53 ], [ 8, 34, 50, 51, 54 ], [ 6, 17, 29, 50, 52 ], [ 16, 30, 41, 51, 52 ], [ 4, 27, 37, 40, 53 ], 
  [ 11, 22, 36, 37, 39 ], [ 3, 23, 35, 37, 47 ], [ 17, 19, 20, 34, 45 ], [ 15, 19, 29, 46, 54 ], [ 7, 20, 28, 41, 54 ], [ 15, 16, 17, 31, 42 ], [ 17, 30, 32, 43, 54 ], [ 28, 30, 31, 44, 50 ], [ 10, 12, 27, 39, 49 ], 
  [ 5, 12, 22, 40, 48 ], [ 4, 9, 12, 13, 35 ], [ 24, 36, 47, 48, 49 ], [ 9, 10, 25, 37, 48 ], [ 9, 11, 38, 47, 53 ], [ 31, 33, 34, 46, 52 ], [ 2, 7, 16, 32, 34 ], 
  [ 8, 28, 29, 33, 42 ], [ 18, 29, 34, 41, 43 ], [ 2, 19, 41, 42, 50 ], [ 29, 31, 32, 45, 51 ], [ 6, 15, 32, 41, 44 ], [ 11, 14, 23, 40, 49 ], [ 4, 10, 23, 24, 26 ], [ 5, 13, 14, 36, 53 ], [ 12, 14, 21, 26, 37 ], 
  [ 13, 22, 26, 27, 47 ], [ 21, 23, 39, 48, 53 ], [ 3, 9, 21, 22, 24 ], [ 2, 8, 17, 44, 46 ], [ 7, 18, 30, 45, 46 ], [ 6, 7, 8, 19, 31 ], [ 20, 42, 43, 46, 51 ], 
  [ 7, 15, 33, 43, 50 ], [ 6, 16, 28, 43, 45 ], [ 5, 11, 24, 25, 27 ], [ 1, 12, 23, 25, 38 ], [ 13, 24, 38, 39, 40 ], [ 1, 14, 27, 35, 48 ], [ 1, 9, 26, 36, 40 ], [ 10, 21, 35, 36, 38 ], [ 8, 18, 20, 32, 52 ], 
  [ 16, 18, 19, 33, 44 ], [ 2, 15, 18, 28, 51 ], [ 3, 4, 14, 25, 39 ], [ 3, 5, 26, 38, 49 ], [ 1, 4, 5, 21, 47 ], [ 2, 6, 20, 30, 33 ], [ 1, 3, 10, 11, 13 ] ];

k5_g6[54,5] := [ [ 42, 44, 45, 50, 54 ], [ 22, 23, 25, 35, 49 ], [ 8, 19, 34, 50, 51 ], [ 6, 15, 29, 50, 52 ], [ 16, 41, 51, 52, 54 ], [ 4, 35, 37, 40, 53 ], 
  [ 11, 25, 36, 37, 39 ], [ 3, 23, 37, 38, 47 ], [ 17, 19, 20, 31, 45 ], [ 15, 19, 33, 46, 54 ], [ 7, 20, 28, 34, 54 ], [ 15, 16, 17, 28, 42 ], [ 17, 29, 30, 43, 54 ], [ 28, 30, 31, 41, 50 ], [ 4, 10, 12, 27, 49 ], 
  [ 5, 12, 22, 37, 48 ], [ 9, 12, 13, 35, 47 ], [ 24, 39, 47, 48, 49 ], [ 3, 9, 10, 25, 48 ], [ 9, 11, 38, 49, 53 ], [ 31, 33, 34, 44, 52 ], [ 2, 16, 32, 34, 45 ], 
  [ 2, 8, 28, 29, 33 ], [ 18, 29, 34, 41, 46 ], [ 2, 7, 19, 41, 42 ], [ 29, 31, 32, 42, 51 ], [ 15, 32, 41, 43, 44 ], [ 11, 12, 14, 23, 40 ], [ 4, 13, 23, 24, 26 ], [ 13, 14, 36, 48, 53 ], [ 9, 14, 21, 26, 37 ], 
  [ 22, 26, 27, 47, 53 ], [ 10, 21, 23, 39, 53 ], [ 3, 11, 21, 22, 24 ], [ 2, 6, 17, 44, 46 ], [ 7, 30, 45, 46, 52 ], [ 6, 7, 8, 16, 31 ], [ 8, 20, 42, 43, 46 ], 
  [ 7, 18, 33, 43, 50 ], [ 6, 28, 43, 45, 51 ], [ 5, 14, 24, 25, 27 ], [ 1, 12, 25, 26, 38 ], [ 13, 27, 38, 39, 40 ], [ 1, 21, 27, 35, 48 ], [ 1, 9, 22, 36, 40 ], [ 10, 24, 35, 36, 38 ], [ 8, 17, 18, 32, 52 ], 
  [ 16, 18, 19, 30, 44 ], [ 2, 15, 18, 20, 51 ], [ 1, 3, 4, 14, 39 ], [ 3, 5, 26, 40, 49 ], [ 4, 5, 21, 36, 47 ], [ 6, 20, 30, 32, 33 ], [ 1, 5, 10, 11, 13 ] ];

k5_g6[54,6] := [ [ 41, 46, 50, 51, 52 ], [ 11, 23, 27, 38, 53 ], [ 7, 19, 20, 52, 54 ], [ 8, 15, 17, 43, 54 ], [ 18, 28, 30, 50, 54 ], [ 22, 27, 35, 39, 47 ], 
  [ 3, 22, 24, 25, 40 ], [ 4, 25, 35, 38, 49 ], [ 16, 31, 32, 34, 54 ], [ 17, 18, 29, 33, 34 ], [ 2, 19, 30, 34, 41 ], [ 19, 28, 29, 31, 51 ], [ 15, 20, 29, 32, 41 ], [ 33, 41, 42, 44, 54 ], [ 4, 13, 39, 40, 48 ], 
  [ 9, 36, 37, 40, 49 ], [ 4, 10, 37, 47, 53 ], [ 5, 10, 36, 38, 39 ], [ 3, 11, 12, 37, 39 ], [ 3, 13, 23, 47, 49 ], [ 29, 30, 44, 45, 46 ], [ 6, 7, 31, 41, 45 ], 
  [ 2, 20, 31, 42, 46 ], [ 7, 32, 33, 43, 46 ], [ 7, 8, 34, 44, 50 ], [ 28, 34, 42, 43, 45 ], [ 2, 6, 29, 43, 50 ], [ 5, 12, 26, 49, 53 ], [ 10, 12, 13, 21, 27 ], [ 5, 11, 21, 47, 48 ], [ 9, 12, 22, 23, 48 ], 
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k5_g6[60,1] := [ [ 35, 38, 50, 57, 58 ], [ 11, 17, 34, 53, 59 ], [ 18, 42, 45, 56, 60 ], [ 13, 16, 28, 37, 56 ], [ 14, 15, 47, 49, 58 ], [ 20, 27, 35, 44, 47 ], 
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k5_g6[62,1] := [ [ 40, 46, 48, 58, 62 ], [ 3, 7, 17, 19, 25 ], [ 2, 42, 48, 50, 60 ], [ 5, 9, 19, 21, 27 ], [ 4, 44, 50, 52, 62 ], [ 7, 11, 21, 23, 29 ], 
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k5_g6[62,2] := [ [ 40, 44, 54, 60, 62 ], [ 3, 5, 11, 21, 25 ], [ 2, 42, 46, 56, 62 ], [ 5, 7, 13, 23, 27 ], [ 2, 4, 44, 48, 58 ], [ 7, 9, 15, 25, 29 ], 
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k5_g6[62,3] := [ [ 38, 48, 56, 60, 62 ], [ 3, 5, 9, 17, 27 ], [ 2, 40, 50, 58, 62 ], [ 5, 7, 11, 19, 29 ], [ 2, 4, 42, 52, 60 ], [ 7, 9, 13, 21, 31 ], 
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k5_g6[62,4] := [ [ 38, 46, 56, 60, 62 ], [ 3, 5, 9, 19, 27 ], [ 2, 40, 48, 58, 62 ], [ 5, 7, 11, 21, 29 ], [ 2, 4, 42, 50, 60 ], [ 7, 9, 13, 23, 31 ], 
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k5_g6[84,9] := [ [ 39, 63, 66, 80, 81 ], [ 5, 20, 21, 43, 45 ], [ 30, 54, 74, 75, 76 ], [ 41, 61, 73, 74, 81 ], [ 2, 14, 51, 74, 84 ], 
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k5_g6[84,10] := [ [ 39, 63, 66, 75, 76 ], [ 5, 12, 21, 34, 45 ], [ 30, 54, 74, 80, 81 ], [ 41, 52, 66, 73, 81 ], [ 2, 7, 51, 74, 82 ], 
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k5_g6[84,11] := [ [ 39, 54, 74, 80, 81 ], [ 10, 13, 20, 43, 45 ], [ 30, 63, 66, 75, 76 ], [ 50, 61, 73, 74, 76 ], [ 6, 14, 51, 66, 84 ], 
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k5_g6[84,12] := [ [ 39, 54, 74, 75, 76 ], [ 10, 12, 13, 34, 45 ], [ 30, 63, 66, 80, 81 ], [ 50, 52, 66, 73, 76 ], [ 6, 7, 51, 66, 82 ], 
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k5_g6[84,13] := [ [ 39, 51, 61, 73, 74 ], [ 10, 32, 33, 45, 67 ], [ 30, 42, 52, 65, 66 ], [ 38, 50, 63, 73, 84 ], [ 6, 51, 63, 72, 81 ], 
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k5_g6[84,14] := [ [ 39, 51, 61, 66, 73 ], [ 5, 32, 33, 45, 67 ], [ 30, 42, 52, 65, 74 ], [ 38, 41, 63, 73, 84 ], [ 2, 51, 63, 72, 81 ], 
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k5_g6[84,16] := [ [ 39, 51, 52, 65, 74 ], [ 10, 23, 33, 45, 58 ], [ 30, 42, 61, 66, 73 ], [ 38, 50, 54, 73, 82 ], [ 6, 51, 63, 64, 76 ], 
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k5_g6[84,17] := [ [ 39, 51, 52, 65, 66 ], [ 5, 23, 33, 45, 58 ], [ 30, 42, 61, 73, 74 ], [ 38, 41, 54, 73, 82 ], [ 2, 51, 63, 64, 76 ], 
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k5_g6[84,18] := [ [ 39, 51, 52, 54, 65 ], [ 13, 23, 33, 45, 58 ], [ 30, 42, 61, 63, 73 ], [ 38, 54, 73, 76, 82 ], [ 51, 63, 64, 66, 76 ], 
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