1x1: max(ct - 8#A) = 0; max(7ct + 4#A - 12N) = -8; max(5ct - 12(N - #A)) = 0, attained by 1 grid(s)
1x2: max(ct - 8#A) = 0; max(7ct + 4#A - 12N) = -16; max(5ct - 12(N - #A)) = 0, attained by 1 grid(s)
1x3: max(ct - 8#A) = 0; max(7ct + 4#A - 12N) = -24; max(5ct - 12(N - #A)) = 0, attained by 1 grid(s)
1x4: max(ct - 8#A) = 0; max(7ct + 4#A - 12N) = -2; max(5ct - 12(N - #A)) = 0, attained by 1 grid(s)
1x5: max(ct - 8#A) = 0; max(7ct + 4#A - 12N) = -10; max(5ct - 12(N - #A)) = 0, attained by 1 grid(s)
1x6: max(ct - 8#A) = 0; max(7ct + 4#A - 12N) = -18; max(5ct - 12(N - #A)) = 0, attained by 1 grid(s)
1x7: max(ct - 8#A) = 0; max(7ct + 4#A - 12N) = -26; max(5ct - 12(N - #A)) = 0, attained by 1 grid(s)
1x8: max(ct - 8#A) = 0; max(7ct + 4#A - 12N) = -4; max(5ct - 12(N - #A)) = 0, attained by 1 grid(s)
1x9: max(ct - 8#A) = 0; max(7ct + 4#A - 12N) = -12; max(5ct - 12(N - #A)) = 0, attained by 1 grid(s)
1x10: max(ct - 8#A) = 0; max(7ct + 4#A - 12N) = -20; max(5ct - 12(N - #A)) = 0, attained by 1 grid(s)
1x11: max(ct - 8#A) = 0; max(7ct + 4#A - 12N) = -28; max(5ct - 12(N - #A)) = 0, attained by 1 grid(s)
1x12: max(ct - 8#A) = 0; max(7ct + 4#A - 12N) = -6; max(5ct - 12(N - #A)) = 0, attained by 1 grid(s)
1x13: max(ct - 8#A) = 0; max(7ct + 4#A - 12N) = -14; max(5ct - 12(N - #A)) = 0, attained by 1 grid(s)
1x14: max(ct - 8#A) = 0; max(7ct + 4#A - 12N) = -22; max(5ct - 12(N - #A)) = 0, attained by 1 grid(s)
1x15: max(ct - 8#A) = 0; max(7ct + 4#A - 12N) = -30; max(5ct - 12(N - #A)) = 0, attained by 1 grid(s)
1x16: max(ct - 8#A) = 0; max(7ct + 4#A - 12N) = -8; max(5ct - 12(N - #A)) = 0, attained by 1 grid(s)
1x17: max(ct - 8#A) = 0; max(7ct + 4#A - 12N) = -16; max(5ct - 12(N - #A)) = 0, attained by 1 grid(s)
1x18: max(ct - 8#A) = 0; max(7ct + 4#A - 12N) = -24; max(5ct - 12(N - #A)) = 0, attained by 1 grid(s)
1x19: max(ct - 8#A) = 0; max(7ct + 4#A - 12N) = -32; max(5ct - 12(N - #A)) = 0, attained by 1 grid(s)
1x20: max(ct - 8#A) = 0; max(7ct + 4#A - 12N) = -10; max(5ct - 12(N - #A)) = 0, attained by 1 grid(s)
1x21: max(ct - 8#A) = 0; max(7ct + 4#A - 12N) = -18; max(5ct - 12(N - #A)) = 0, attained by 1 grid(s)
1x22: max(ct - 8#A) = 0; max(7ct + 4#A - 12N) = -26; max(5ct - 12(N - #A)) = 0, attained by 1 grid(s)
1x23: max(ct - 8#A) = 0; max(7ct + 4#A - 12N) = -34; max(5ct - 12(N - #A)) = 0, attained by 1 grid(s)
1x24: max(ct - 8#A) = 0; max(7ct + 4#A - 12N) = -12; max(5ct - 12(N - #A)) = 0, attained by 1 grid(s)
1x25: max(ct - 8#A) = 0; max(7ct + 4#A - 12N) = -20; max(5ct - 12(N - #A)) = 0, attained by 1 grid(s)
2x2: max(ct - 8#A) = 0; max(7ct + 4#A - 12N) = -32; max(5ct - 12(N - #A)) = 0, attained by 1 grid(s)
2x3: max(ct - 8#A) = 0; max(7ct + 4#A - 12N) = -32; max(5ct - 12(N - #A)) = 0, attained by 1 grid(s)
2x4: max(ct - 8#A) = 0; max(7ct + 4#A - 12N) = -4; max(5ct - 12(N - #A)) = 0, attained by 1 grid(s)
2x5: max(ct - 8#A) = 0; max(7ct + 4#A - 12N) = -20; max(5ct - 12(N - #A)) = 0, attained by 1 grid(s)
2x6: max(ct - 8#A) = 0; max(7ct + 4#A - 12N) = -36; max(5ct - 12(N - #A)) = 0, attained by 1 grid(s)
2x7: max(ct - 8#A) = 0; max(7ct + 4#A - 12N) = -40; max(5ct - 12(N - #A)) = 0, attained by 1 grid(s)
2x8: max(ct - 8#A) = 0; max(7ct + 4#A - 12N) = -8; max(5ct - 12(N - #A)) = 0, attained by 1 grid(s)
2x9: max(ct - 8#A) = 0; max(7ct + 4#A - 12N) = -24; max(5ct - 12(N - #A)) = 0, attained by 1 grid(s)
2x10: max(ct - 8#A) = 0; max(7ct + 4#A - 12N) = -40; max(5ct - 12(N - #A)) = 0, attained by 1 grid(s)
2x11: max(ct - 8#A) = 0; max(7ct + 4#A - 12N) = -44; max(5ct - 12(N - #A)) = 0, attained by 1 grid(s)
2x12: max(ct - 8#A) = 0; max(7ct + 4#A - 12N) = -12; max(5ct - 12(N - #A)) = 0, attained by 1 grid(s)
3x3: max(ct - 8#A) = 0; max(7ct + 4#A - 12N) = -72; max(5ct - 12(N - #A)) = 0, attained by 1 grid(s)
3x4: max(ct - 8#A) = 0; max(7ct + 4#A - 12N) = -6; max(5ct - 12(N - #A)) = 0, attained by 1 grid(s)
3x5: max(ct - 8#A) = 0; max(7ct + 4#A - 12N) = -30; max(5ct - 12(N - #A)) = 0, attained by 1 grid(s)
3x6: max(ct - 8#A) = 0; max(7ct + 4#A - 12N) = -54; max(5ct - 12(N - #A)) = 0, attained by 1 grid(s)
3x7: max(ct - 8#A) = 0; max(7ct + 4#A - 12N) = -70; max(5ct - 12(N - #A)) = 0, attained by 1 grid(s)
3x8: max(ct - 8#A) = 0; max(7ct + 4#A - 12N) = -12; max(5ct - 12(N - #A)) = 0, attained by 1 grid(s)
4x4: max(ct - 8#A) = 0; max(7ct + 4#A - 12N) = 0; max(5ct - 12(N - #A)) = 0, attained by 65 grid(s)
4x5: max(ct - 8#A) = 0; max(7ct + 4#A - 12N) = -10; max(5ct - 12(N - #A)) = 0, attained by 1 grid(s)
4x6: max(ct - 8#A) = 0; max(7ct + 4#A - 12N) = -12; max(5ct - 12(N - #A)) = 0, attained by 1 grid(s)
5x5: max(ct - 8#A) = 0; max(7ct + 4#A - 12N) = 0; max(5ct - 12(N - #A)) = 0, attained by 1 grid(s)
the three bounds of Theorem 1.4(a) hold for all grids on two letters on the 46 tori with at most 25 cells
