k4_g5 := List([1..38], i -> []);

k4_g5[20,1] := [ [ 3, 4, 5, 20 ], [ 6, 7, 8, 20 ], [ 1, 9, 10, 11 ], [ 1, 12, 13, 14 ], [ 1, 15, 16, 17 ], [ 2, 9, 12, 15 ], [ 2, 10, 13, 16 ], 
  [ 2, 11, 14, 17 ], [ 3, 6, 13, 17 ], [ 3, 7, 14, 18 ], [ 3, 8, 16, 19 ], [ 4, 6, 16, 18 ], [ 4, 7, 9, 19 ], [ 4, 8, 10, 15 ], [ 5, 6, 14, 19 ], [ 5, 7, 11, 12 ], [ 5, 8, 9, 18 ], [ 10, 12, 17, 20 ], [ 11, 13, 15, 20 ], 
  [ 1, 2, 18, 19 ] ];

k4_g5[21,1] := [[2,3,4,5], [1,12,17,19], [1,13,16,18], [1,10,14,21], [1,11,15,20], [16,17,20,21], [9,15,18,21], [9,14,19,20], [7,8,12,13], [4,12,18,20], [5,13,19,21], [2,9,10,16], [3,9,11,17], [4,8,15,17], [5,7,14,16], [3,6,12,15], [2,6,13,14], [3,7,10,19], [2,8,11,18], [5,6,8,10], [4,6,7,11]];

k4_g5[22,1] := [ [ 2, 6, 9, 22 ], [ 1, 3, 11, 18 ], [ 2, 8, 16, 20 ], [ 5, 15, 18, 22 ], [ 4, 6, 11, 14 ], [ 1, 5, 7, 20 ], 
  [ 6, 8, 12, 15 ], [ 3, 7, 14, 22 ], [ 1, 10, 14, 17 ], [ 9, 11, 15, 19 ], [ 2, 5, 10, 12 ], [ 7, 11, 13, 21 ], [ 12, 14, 16, 19 ], 
  [ 5, 8, 9, 13 ], [ 4, 7, 10, 16 ], [ 3, 13, 15, 17 ], [ 9, 16, 18, 21 ], [ 2, 4, 17, 19 ], [ 10, 13, 18, 20 ], [ 3, 6, 19, 21 ], 
  [ 12, 17, 20, 22 ], [ 1, 4, 8, 21 ] ];

k4_g5[23,1] := [ [ 2, 7, 10, 23 ], [ 1, 12, 15, 19 ], [ 4, 9, 17, 21 ], [ 3, 5, 10, 12 ], [ 4, 6, 19, 23 ], [ 5, 7, 11, 14 ], 
  [ 1, 6, 8, 21 ], [ 7, 9, 12, 16 ], [ 3, 8, 14, 23 ], [ 1, 4, 11, 18 ], [ 6, 10, 16, 20 ], [ 2, 4, 8, 13 ], [ 12, 14, 17, 20 ], 
  [ 6, 9, 13, 15 ], [ 2, 14, 16, 22 ], [ 8, 11, 15, 17 ], [ 3, 13, 16, 18 ], [ 10, 17, 19, 22 ], [ 2, 5, 18, 20 ], [ 11, 13, 19, 21 ], 
  [ 3, 7, 20, 22 ], [ 15, 18, 21, 23 ], [ 1, 5, 9, 22 ] ];

k4_g5[24,1] := [ [ 2, 7, 10, 24 ], [ 1, 12, 16, 20 ], [ 4, 9, 18, 22 ], [ 3, 5, 10, 13 ], [ 4, 6, 20, 24 ], [ 5, 7, 12, 15 ], 
  [ 1, 6, 8, 22 ], [ 7, 9, 13, 17 ], [ 3, 8, 15, 24 ], [ 1, 4, 11, 19 ], [ 10, 12, 17, 21 ], [ 2, 6, 11, 13 ], [ 4, 8, 12, 14 ], 
  [ 13, 15, 18, 21 ], [ 6, 9, 14, 16 ], [ 2, 15, 17, 23 ], [ 8, 11, 16, 18 ], [ 3, 14, 17, 19 ], [ 10, 18, 20, 23 ], [ 2, 5, 19, 21 ], 
  [ 11, 14, 20, 22 ], [ 3, 7, 21, 23 ], [ 16, 19, 22, 24 ], [ 1, 5, 9, 23 ] ];

k4_g5[25,1] := [ [ 2, 7, 10, 25 ], [ 1, 12, 17, 21 ], [ 4, 9, 19, 23 ], [ 3, 5, 10, 14 ], [ 4, 6, 21, 25 ], [ 5, 7, 12, 16 ], 
  [ 1, 6, 8, 23 ], [ 7, 9, 14, 18 ], [ 3, 8, 16, 25 ], [ 1, 4, 11, 20 ], [ 10, 12, 18, 22 ], [ 2, 6, 11, 13 ], [ 12, 14, 20, 24 ], 
  [ 4, 8, 13, 15 ], [ 14, 16, 19, 22 ], [ 6, 9, 15, 17 ], [ 2, 16, 18, 24 ], [ 8, 11, 17, 19 ], [ 3, 15, 18, 20 ], [ 10, 13, 19, 21 ], 
  [ 2, 5, 20, 22 ], [ 11, 15, 21, 23 ], [ 3, 7, 22, 24 ], [ 13, 17, 23, 25 ], [ 1, 5, 9, 24 ] ];

k4_g5[26,1] := [ [ 2, 7, 11, 26 ], [ 1, 13, 18, 22 ], [ 4, 9, 20, 24 ], [ 3, 5, 11, 15 ], [ 4, 6, 22, 26 ], [ 5, 7, 13, 17 ], 
  [ 1, 6, 8, 24 ], [ 7, 9, 15, 19 ], [ 3, 8, 10, 26 ], [ 9, 11, 17, 21 ], [ 1, 4, 10, 12 ], [ 11, 13, 19, 23 ], [ 2, 6, 12, 14 ], 
  [ 13, 15, 21, 25 ], [ 4, 8, 14, 16 ], [ 15, 17, 20, 23 ], [ 6, 10, 16, 18 ], [ 2, 17, 19, 25 ], [ 8, 12, 18, 20 ], [ 3, 16, 19, 21 ],
  [ 10, 14, 20, 22 ], [ 2, 5, 21, 23 ], [ 12, 16, 22, 24 ], [ 3, 7, 23, 25 ], [ 14, 18, 24, 26 ], [ 1, 5, 9, 25 ] ];

k4_g5[27,1] := [ [ 5, 23, 26, 27 ], [ 3, 4, 19, 27 ], [ 2, 11, 21, 24 ], [ 2, 5, 9, 12 ], [ 1, 4, 6, 18 ], [ 5, 11, 13, 22 ], 
  [ 8, 12, 14, 27 ], [ 7, 9, 16, 26 ], [ 4, 8, 10, 24 ], [ 9, 11, 14, 18 ], [ 3, 6, 10, 16 ], [ 4, 7, 20, 23 ], [ 6, 14, 17, 20 ], 
  [ 7, 10, 13, 15 ], [ 14, 16, 22, 25 ], [ 8, 11, 15, 17 ], [ 13, 16, 18, 27 ], [ 5, 10, 17, 19 ], [ 2, 18, 20, 25 ], 
  [ 12, 13, 19, 21 ], [ 3, 20, 22, 26 ], [ 6, 15, 21, 23 ], [ 1, 12, 22, 24 ], [ 3, 9, 23, 25 ], [ 15, 19, 24, 26 ], [ 1, 8, 21, 25 ], 
  [ 1, 2, 7, 17 ] ];

k4_g5[27,2] := [ [ 2, 8, 12, 27 ], [ 1, 3, 19, 23 ], [ 2, 4, 10, 14 ], [ 3, 5, 21, 25 ], [ 4, 6, 12, 16 ], [ 5, 7, 23, 27 ], 
  [ 6, 8, 14, 18 ], [ 1, 7, 9, 25 ], [ 8, 10, 16, 20 ], [ 3, 9, 11, 27 ], [ 10, 12, 18, 22 ], [ 1, 5, 11, 13 ], [ 12, 14, 20, 24 ], 
  [ 3, 7, 13, 15 ], [ 14, 16, 22, 26 ], [ 5, 9, 15, 17 ], [ 16, 18, 21, 24 ], [ 7, 11, 17, 19 ], [ 2, 18, 20, 26 ], [ 9, 13, 19, 21 ], 
  [ 4, 17, 20, 22 ], [ 11, 15, 21, 23 ], [ 2, 6, 22, 24 ], [ 13, 17, 23, 25 ], [ 4, 8, 24, 26 ], [ 15, 19, 25, 27 ], [ 1, 6, 10, 26 ] 
 ];

k4_g5[28,1] := [ [ 5, 23, 27, 28 ], [ 3, 4, 19, 28 ], [ 2, 11, 21, 25 ], [ 2, 5, 9, 12 ], [ 1, 4, 6, 18 ], [ 5, 11, 13, 22 ], 
  [ 8, 12, 14, 28 ], [ 7, 9, 16, 27 ], [ 4, 8, 10, 25 ], [ 9, 11, 14, 18 ], [ 3, 6, 10, 16 ], [ 4, 7, 20, 23 ], [ 6, 14, 20, 24 ], 
  [ 7, 10, 13, 15 ], [ 14, 16, 22, 26 ], [ 8, 11, 15, 17 ], [ 16, 18, 24, 28 ], [ 5, 10, 17, 19 ], [ 2, 18, 20, 26 ], 
  [ 12, 13, 19, 21 ], [ 3, 20, 22, 27 ], [ 6, 15, 21, 23 ], [ 1, 12, 22, 24 ], [ 13, 17, 23, 25 ], [ 3, 9, 24, 26 ], 
  [ 15, 19, 25, 27 ], [ 1, 8, 21, 26 ], [ 1, 2, 7, 17 ] ];

k4_g5[29,1] := [ [ 5, 24, 28, 29 ], [ 3, 4, 20, 29 ], [ 2, 11, 22, 26 ], [ 2, 5, 9, 12 ], [ 1, 4, 6, 19 ], [ 5, 11, 13, 23 ], 
  [ 8, 12, 15, 29 ], [ 7, 9, 13, 17 ], [ 4, 8, 10, 26 ], [ 9, 11, 15, 19 ], [ 3, 6, 10, 17 ], [ 4, 7, 21, 24 ], [ 6, 8, 14, 28 ], 
  [ 13, 15, 21, 25 ], [ 7, 10, 14, 16 ], [ 15, 17, 23, 27 ], [ 8, 11, 16, 18 ], [ 17, 19, 25, 29 ], [ 5, 10, 18, 20 ], 
  [ 2, 19, 21, 27 ], [ 12, 14, 20, 22 ], [ 3, 21, 23, 28 ], [ 6, 16, 22, 24 ], [ 1, 12, 23, 25 ], [ 14, 18, 24, 26 ], [ 3, 9, 25, 27 ],
  [ 16, 20, 26, 28 ], [ 1, 13, 22, 27 ], [ 1, 2, 7, 18 ] ];

k4_g5[30,1] := [ [ 5, 25, 29, 30 ], [ 3, 4, 21, 30 ], [ 2, 11, 23, 27 ], [ 2, 5, 9, 13 ], [ 1, 4, 6, 20 ], [ 5, 11, 14, 24 ], 
  [ 8, 13, 16, 30 ], [ 7, 9, 14, 18 ], [ 4, 8, 10, 27 ], [ 9, 11, 16, 20 ], [ 3, 6, 10, 12 ], [ 11, 13, 18, 22 ], [ 4, 7, 12, 25 ], 
  [ 6, 8, 15, 29 ], [ 14, 16, 22, 26 ], [ 7, 10, 15, 17 ], [ 16, 18, 24, 28 ], [ 8, 12, 17, 19 ], [ 18, 20, 26, 30 ], 
  [ 5, 10, 19, 21 ], [ 2, 20, 22, 28 ], [ 12, 15, 21, 23 ], [ 3, 22, 24, 29 ], [ 6, 17, 23, 25 ], [ 1, 13, 24, 26 ], 
  [ 15, 19, 25, 27 ], [ 3, 9, 26, 28 ], [ 17, 21, 27, 29 ], [ 1, 14, 23, 28 ], [ 1, 2, 7, 19 ] ];

k4_g5[31,1] := [ [ 5, 26, 30, 31 ], [ 3, 4, 22, 31 ], [ 2, 8, 24, 28 ], [ 2, 5, 10, 14 ], [ 1, 4, 6, 21 ], [ 5, 12, 15, 25 ], 
  [ 8, 14, 17, 31 ], [ 3, 7, 9, 12 ], [ 8, 10, 15, 19 ], [ 4, 9, 11, 28 ], [ 10, 12, 17, 21 ], [ 6, 8, 11, 13 ], [ 12, 14, 19, 23 ], 
  [ 4, 7, 13, 26 ], [ 6, 9, 16, 30 ], [ 15, 17, 23, 27 ], [ 7, 11, 16, 18 ], [ 17, 19, 25, 29 ], [ 9, 13, 18, 20 ], [ 19, 21, 27, 31 ],
  [ 5, 11, 20, 22 ], [ 2, 21, 23, 29 ], [ 13, 16, 22, 24 ], [ 3, 23, 25, 30 ], [ 6, 18, 24, 26 ], [ 1, 14, 25, 27 ], 
  [ 16, 20, 26, 28 ], [ 3, 10, 27, 29 ], [ 18, 22, 28, 30 ], [ 1, 15, 24, 29 ], [ 1, 2, 7, 20 ] ];

k4_g5[32,1] := [ [ 5, 27, 31, 32 ], [ 3, 4, 7, 23 ], [ 2, 9, 25, 29 ], [ 2, 5, 11, 15 ], [ 1, 4, 6, 22 ], [ 5, 7, 13, 16 ], 
  [ 2, 6, 26, 32 ], [ 9, 15, 18, 32 ], [ 3, 8, 10, 13 ], [ 9, 11, 16, 20 ], [ 4, 10, 12, 29 ], [ 11, 13, 18, 22 ], [ 6, 9, 12, 14 ], 
  [ 13, 15, 20, 24 ], [ 4, 8, 14, 27 ], [ 6, 10, 17, 31 ], [ 16, 18, 24, 28 ], [ 8, 12, 17, 19 ], [ 18, 20, 26, 30 ], 
  [ 10, 14, 19, 21 ], [ 20, 22, 28, 32 ], [ 5, 12, 21, 23 ], [ 2, 22, 24, 30 ], [ 14, 17, 23, 25 ], [ 3, 24, 26, 31 ], 
  [ 7, 19, 25, 27 ], [ 1, 15, 26, 28 ], [ 17, 21, 27, 29 ], [ 3, 11, 28, 30 ], [ 19, 23, 29, 31 ], [ 1, 16, 25, 30 ], [ 1, 7, 8, 21 ] 
 ];

k4_g5[33,1] := [ [ 4, 6, 28, 33 ], [ 3, 5, 8, 24 ], [ 2, 10, 26, 30 ], [ 1, 10, 14, 32 ], [ 2, 6, 12, 16 ], [ 1, 5, 7, 23 ], 
  [ 6, 8, 14, 17 ], [ 2, 7, 27, 33 ], [ 10, 16, 19, 33 ], [ 3, 4, 9, 11 ], [ 10, 12, 17, 21 ], [ 5, 11, 13, 30 ], [ 12, 14, 19, 23 ], 
  [ 4, 7, 13, 15 ], [ 14, 16, 21, 25 ], [ 5, 9, 15, 28 ], [ 7, 11, 18, 32 ], [ 17, 19, 25, 29 ], [ 9, 13, 18, 20 ], [ 19, 21, 27, 31 ],
  [ 11, 15, 20, 22 ], [ 21, 23, 29, 33 ], [ 6, 13, 22, 24 ], [ 2, 23, 25, 31 ], [ 15, 18, 24, 26 ], [ 3, 25, 27, 32 ], 
  [ 8, 20, 26, 28 ], [ 1, 16, 27, 29 ], [ 18, 22, 28, 30 ], [ 3, 12, 29, 31 ], [ 20, 24, 30, 32 ], [ 4, 17, 26, 31 ], [ 1, 8, 9, 22 ] 
 ];

k4_g5[34,1] := [ [ 4, 7, 29, 34 ], [ 3, 5, 9, 25 ], [ 2, 11, 27, 31 ], [ 1, 5, 11, 15 ], [ 2, 4, 6, 33 ], [ 5, 7, 13, 17 ], 
  [ 1, 6, 8, 24 ], [ 7, 9, 15, 18 ], [ 2, 8, 28, 34 ], [ 11, 17, 20, 34 ], [ 3, 4, 10, 12 ], [ 11, 13, 18, 22 ], [ 6, 12, 14, 31 ], 
  [ 13, 15, 20, 24 ], [ 4, 8, 14, 16 ], [ 15, 17, 22, 26 ], [ 6, 10, 16, 29 ], [ 8, 12, 19, 33 ], [ 18, 20, 26, 30 ], 
  [ 10, 14, 19, 21 ], [ 20, 22, 28, 32 ], [ 12, 16, 21, 23 ], [ 22, 24, 30, 34 ], [ 7, 14, 23, 25 ], [ 2, 24, 26, 32 ], 
  [ 16, 19, 25, 27 ], [ 3, 26, 28, 33 ], [ 9, 21, 27, 29 ], [ 1, 17, 28, 30 ], [ 19, 23, 29, 31 ], [ 3, 13, 30, 32 ], 
  [ 21, 25, 31, 33 ], [ 5, 18, 27, 32 ], [ 1, 9, 10, 23 ] ];

k4_g5[35,1] := [ [ 4, 8, 30, 35 ], [ 3, 6, 10, 26 ], [ 2, 12, 28, 32 ], [ 1, 5, 14, 32 ], [ 4, 6, 12, 16 ], [ 2, 5, 7, 34 ], 
  [ 6, 8, 14, 18 ], [ 1, 7, 9, 25 ], [ 8, 10, 16, 19 ], [ 2, 9, 29, 35 ], [ 12, 18, 21, 35 ], [ 3, 5, 11, 13 ], [ 12, 14, 19, 23 ], 
  [ 4, 7, 13, 15 ], [ 14, 16, 21, 25 ], [ 5, 9, 15, 17 ], [ 16, 18, 23, 27 ], [ 7, 11, 17, 30 ], [ 9, 13, 20, 34 ], [ 19, 21, 27, 31 ],
  [ 11, 15, 20, 22 ], [ 21, 23, 29, 33 ], [ 13, 17, 22, 24 ], [ 23, 25, 31, 35 ], [ 8, 15, 24, 26 ], [ 2, 25, 27, 33 ], 
  [ 17, 20, 26, 28 ], [ 3, 27, 29, 34 ], [ 10, 22, 28, 30 ], [ 1, 18, 29, 31 ], [ 20, 24, 30, 32 ], [ 3, 4, 31, 33 ], 
  [ 22, 26, 32, 34 ], [ 6, 19, 28, 33 ], [ 1, 10, 11, 24 ] ];

k4_g5[36,1] := [ [ 5, 9, 31, 36 ], [ 3, 7, 11, 27 ], [ 2, 13, 29, 33 ], [ 5, 11, 15, 30 ], [ 1, 4, 6, 33 ], [ 5, 7, 13, 17 ], 
  [ 2, 6, 8, 35 ], [ 7, 9, 15, 19 ], [ 1, 8, 10, 26 ], [ 9, 11, 17, 20 ], [ 2, 4, 10, 36 ], [ 13, 19, 22, 36 ], [ 3, 6, 12, 14 ], 
  [ 13, 15, 20, 24 ], [ 4, 8, 14, 16 ], [ 15, 17, 22, 26 ], [ 6, 10, 16, 18 ], [ 17, 19, 24, 28 ], [ 8, 12, 18, 31 ], 
  [ 10, 14, 21, 35 ], [ 20, 22, 28, 32 ], [ 12, 16, 21, 23 ], [ 22, 24, 30, 34 ], [ 14, 18, 23, 25 ], [ 24, 26, 32, 36 ], 
  [ 9, 16, 25, 27 ], [ 2, 26, 28, 34 ], [ 18, 21, 27, 29 ], [ 3, 28, 30, 35 ], [ 4, 23, 29, 31 ], [ 1, 19, 30, 32 ], 
  [ 21, 25, 31, 33 ], [ 3, 5, 32, 34 ], [ 23, 27, 33, 35 ], [ 7, 20, 29, 34 ], [ 1, 11, 12, 25 ] ];

k4_g5[37,1] := [ [ 6, 10, 32, 37 ], [ 3, 8, 12, 28 ], [ 2, 4, 30, 34 ], [ 3, 10, 14, 27 ], [ 6, 12, 16, 31 ], [ 1, 5, 7, 34 ], 
  [ 6, 8, 14, 18 ], [ 2, 7, 9, 36 ], [ 8, 10, 16, 20 ], [ 1, 4, 9, 11 ], [ 10, 12, 18, 21 ], [ 2, 5, 11, 37 ], [ 14, 20, 23, 37 ], 
  [ 4, 7, 13, 15 ], [ 14, 16, 21, 25 ], [ 5, 9, 15, 17 ], [ 16, 18, 23, 27 ], [ 7, 11, 17, 19 ], [ 18, 20, 25, 29 ], [ 9, 13, 19, 32 ],
  [ 11, 15, 22, 36 ], [ 21, 23, 29, 33 ], [ 13, 17, 22, 24 ], [ 23, 25, 31, 35 ], [ 15, 19, 24, 26 ], [ 25, 27, 33, 37 ], 
  [ 4, 17, 26, 28 ], [ 2, 27, 29, 35 ], [ 19, 22, 28, 30 ], [ 3, 29, 31, 36 ], [ 5, 24, 30, 32 ], [ 1, 20, 31, 33 ], 
  [ 22, 26, 32, 34 ], [ 3, 6, 33, 35 ], [ 24, 28, 34, 36 ], [ 8, 21, 30, 35 ], [ 1, 12, 13, 26 ] ];

k4_g5[38,1] := [ [ 2, 7, 11, 38 ], [ 1, 3, 29, 33 ], [ 2, 4, 9, 13 ], [ 3, 5, 31, 35 ], [ 4, 11, 15, 28 ], [ 7, 13, 17, 32 ], 
  [ 1, 6, 8, 35 ], [ 7, 9, 15, 19 ], [ 3, 8, 10, 37 ], [ 9, 11, 17, 21 ], [ 1, 5, 10, 12 ], [ 11, 13, 19, 22 ], [ 3, 6, 12, 38 ], 
  [ 15, 21, 24, 38 ], [ 5, 8, 14, 16 ], [ 15, 17, 22, 26 ], [ 6, 10, 16, 18 ], [ 17, 19, 24, 28 ], [ 8, 12, 18, 20 ], 
  [ 19, 21, 26, 30 ], [ 10, 14, 20, 33 ], [ 12, 16, 23, 37 ], [ 22, 24, 30, 34 ], [ 14, 18, 23, 25 ], [ 24, 26, 32, 36 ], 
  [ 16, 20, 25, 27 ], [ 26, 28, 34, 38 ], [ 5, 18, 27, 29 ], [ 2, 28, 30, 36 ], [ 20, 23, 29, 31 ], [ 4, 30, 32, 37 ], 
  [ 6, 25, 31, 33 ], [ 2, 21, 32, 34 ], [ 23, 27, 33, 35 ], [ 4, 7, 34, 36 ], [ 25, 29, 35, 37 ], [ 9, 22, 31, 36 ], [ 1, 13, 14, 27 ] 
 ];