A single Berge k-move is denoted as { j i }, in which case, the pieces in the positions
i,i+1,...,i+k-1 are moved to the vacant holes j,j+1,...,j+k-1.  Successive moves are concatenated
as { j i } U { l k }, which means perform { j i } followed by { l k }. Often a move fills an
empty hole created as an effect of the previous move, the resulting notation { j k } U { k i }
is abbreviated as { j k i }, and is extended to more than two such moves as well.

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