...
{ acbcaa => [0, 6, 6, 3, 3, 4, 4] }
{ acbcab => [0, 5, 5, 6, 6, 4, 4] }
{ acbcac => [0, 5, 5, 3, 3, 6, 6] }
{ acbcba => [0, 6, 6, 5, 5, 4, 4] }
{ acbcca => [0, 6, 6, 3, 3, 5, 5] }
{ accaab => [0, 5, 5, 6, 6, 3, 3] }
{ accaba => [0, 6, 6, 5, 5, 3, 3] }
...
{ cccbab => [0, 5, 5, 6, 6, 3, 3] }
{ cccbac => [0, 5, 5, 4, 4, 6, 6] }
{ cccbba => [0, 6, 6, 5, 5, 3, 3] }
{ cccbca => [0, 6, 6, 4, 4, 5, 5] }
{ ccccab => [0, 5, 5, 6, 6, 4, 4] }
{ ccccba => [0, 6, 6, 5, 5, 4, 4] }