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[9, 7]: { 10 1 } U { 17 9 16 } U { 24 8 } U { 31 23 } U { 16 30 15 } U { 23 31 }
S[10, 7]: { 11 2 } U { 18 10 } U { 2 17 } U { 10 1 } U { 25 9 24 8 } U { 17 25 }
S[11, 7]: { 12 1 } U { 19 9 18 11 19 9 17 8 }
S[12, 7]: { 13 3 12 4 13 1 } U { 20 11 19 8 }
S[13, 7]: { 14 1 13 3 11 } U { 21 1 } U { 11 19 9 21 }
S[14, 7]: { 15 2 14 1 13 3 15 4 12 1 }
S[15, 7]: { 16 4 15 7 16 5 12 3 15 1 }
S[16, 7]: { 17 4 } U { 24 14 } U { 4 22 } U { 14 3 12 } U { 22 2 24 } U { 12 1 }
S[17, 7]: { 25 2 11 } U { 18 1 } U { 11 22 10 21 14 23 11 25 }
S[18, 7]: { 19 3 16 2 13 5 15 } U { 26 4 24 1 } U { 15 26 }
S[19, 7]: { 20 11 2 14 5 16 8 19 3 13 } U { -6 20 }
S[20, 7]: { 21 2 9 19 3 17 4 12 20 6 14 1 }
S[21, 7]: { 22 5 } U { 29 13 27 14 } U { 5 25 } U { 14 4 } U { 25 16 28 } U { 4 17 } U { 28 1 } U { 17 29 }
S[22, 7]: { 23 2 9 17 5 23 11 2 13 5 18 9 23 }
S[23, 7]: { 24 1 } U { 31 19 27 15 30 13 28 } U { 1 12 3 } U { 28 11 24 } U { 3 31 }
S[24, 7]: { 25 2 } U { 32 20 28 16 31 14 29 } U { 2 13 4 } U { 29 12 25 } U { 4 32 }
S[25, 7]: { 26 11 2 } U { 33 12 20 30 14 33 } U { 2 25 6 22 4 19 1 }
S[26, 7]: { 27 2 } U { 34 22 30 } U { 2 21 4 } U { 30 16 33 14 31 12 25 34 } U { 4 27 }
S[27, 7]: { 28 5 14 26 18 7 21 13 3 18 27 14 22 2 28 }
S[28, 7]: { 29 2 15 } U { 36 7 27 } U { 15 35 17 5 } U { 27 13 } U { 5 32 } U { 13 4 19 } U { 32 3 36 } U { 19 1 }
S[29, 7]: { 30 3 10 28 14 22 4 27 17 2 29 6 26 9 25 1 }
S[30, 7]: { 31 18 7 29 21 5 27 10 2 16 30 11 24 6 19 1 }
S[31, 7]: { 32 2 15 26 4 12 28 6 23 31 17 3 22 9 27 14 32 }
S[32, 7]: { 33 22 11 27 3 14 } U { -6 2 31 23 0 29 5 32 -4 26 } U { 14 -3 33 }
S[33, 7]: { 34 1 20 11 4 14 33 16 2 21 29 17 32 12 26 6 20 1 }
S[34, 7]: { 35 6 27 18 26 15 4 31 20 9 34 3 18 8 29 4 24 1 }
S[35, 7]: { 36 1 18 2 14 31 23 11 34 5 20 3 29 17 26 7 32 12 36 }
S[36, 7]: { 37 2 19 3 15 32 24 12 35 6 21 4 30 18 27 8 33 13 37 }
S[37, 7]: { 38 1 18 27 17 29 2 34 20 7 26 16 37 22 5 28 8 33 14 38 }
S[38, 7]: { 39 2 11 26 38 12 36 21 34 6 31 4 17 27 19 9 30 5 25 1 }
S[39, 7]: { 40 1 16 33 12 27 38 2 17 33 19 7 30 39 15 33 9 28 6 23 1 }
S[40, 7]: { 41 2 11 20 31 17 8 35 6 39 21 3 22 40 16 36 11 30 7 25 1 }
S[41, 7]: { 42 1 10 19 32 14 5 29 3 18 8 28 41 16 31 12 37 8 32 5 27 1 }
S[42, 7]: { 43 2 17 28 19 34 3 24 7 28 16 37 26 34 4 39 21 36 10 41 16 43 }
S[43, 7]: { 44 1 10 19 36 16 41 31 20 12 42 2 36 22 14 39 30 6 35 12 40 16 44 }
S[44, 7]: { 45 2 11 20 37 17 42 32 21 13 43 3 37 23 15 40 31 7 36 13 41 17 45 }
S[45, 7]: { 46 1 10 19 38 16 5 27 10 3 37 18 43 6 45 15 28 17 39 12 34 7 29 1 }
S[46, 7]: { 47 2 11 22 6 30 3 24 44 21 35 27 17 25 46 14 5 31 11 36 15 41 21 47 }
S[47, 7]: { 48 1 10 19 28 39 23 34 15 4 40 26 13 30 45 7 36 18 3 27 47 35 5 30 1 }
S[48, 7]: { 49 2 11 20 39 17 6 43 14 30 4 47 19 48 15 44 9 24 14 38 10 34 5 30 1 }
S[49, 7]: { 50 1 10 19 5 41 13 31 10 44 25 36 47 19 8 28 49 2 23 46 34 20 42 11 21 50 }
S[50, 7]: { 51 2 11 20 6 28 14 42 33 12 22 31 48 28 50 20 38 16 36 4 40 10 37 5 31 1 }