6,6,6,6,6,6 = T6   = all possible ways to fill first 5 locations
6,1,1,6,6,6 = B1,6 = ways to violate C1
6,5,1,1,6,6 = B2,6 = ways to violate C2 (but not C1)
              B3,6 = ways to violate C3 first
6,5,5,1,1,6 + A,B,C,C,C
6,1,5,1,1,6 + A,A,B,B,B
              B4,6 = ways to violate C4 first
6,1,5,5,1,1 + A,A,B,C,C,C
6,5,1,5,1,1 + A,B,B,C,C,C
6,5,5,5,1,1 + A,B,C,D,D,D
              B5,6 = ways to maybe violate only C5
6,5,5,1,5,1 + A,B,C,C,D,D
6,1,5,1,5,1 + A,A,B,B,C,C
6,1,5,5,5,1 + A,A,B,C,D,D
6,5,1,5,5,1 + A,B,B,C,D,D
6,5,5,5,5,1 + A,B,C,D,E,E
              B0,6 = T6 - B(1..5),6
6,1,5,5,1,5 + A,A,B,C,C,D
6,5,1,5,1,5 + A,B,B,C,C,D
6,5,5,5,1,5 + A,B,C,D,D,E
6,5,5,1,5,5 + A,B,C,C,D,E
6,1,5,1,5,5 + A,A,B,B,C,D
6,1,5,5,5,5 + A,A,B,C,D,E
6,5,1,5,5,5 + A,B,B,C,D,E
6,5,5,5,5,5 + A,B,C,D,E,F