m\n | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | 22 | 23 | 24 | 25 | 26 | 27 | 28 | 29 | 30 |
1 | 2 | H | H | H | H | H | H | H | H | H | H | H | H | H | H | H | H | H | H | H | H | H | H | H | H | H | H | H | H | H |
2 | V | 1 | 1 | H | V | 1 | 1 | H | V | 1 | 1 | H | 2 | 1 | 1 | H | H | 1 | 1 | H | H | H | 1 | H | H | H | 1 | H | H | H |
3 | V | 1 | 1 | H | H | H | H | H | H | H | H | H | H | H | H | H | H | H | H | H | H | H | H | H | H | H | H | H | H | H |
4 | V | V | V | 1 | V | 1 | V | H | V | H | V | H | 2 | H | H | H | H | H | H | H | H | H | H | H | H | H | H | H | H | H |
5 | V | H | V | H | 2 | H | H | H | H | H | H | H | H | H | H | H | H | H | H | H | H | H | H | H | H | H | H | H | H | H |
6 | V | 1 | V | 1 | V | 1 | V | H | V | 1 | 1 | H | V | H | H | 1h | 1h | H | H | 1h | H | 1h | H | 1h | H | 1h | H | |||
7 | V | 1 | V | H | V | H | 1 | H | H | H | H | H | H | H | H | H | H | H | H | H | H | H | H | H | H | H | H | H | H | H |
8 | V | V | V | V | V | V | V | 1 | V | H | V | V | 2h | 1h | H | 1h | ||||||||||||||
9 | V | H | V | H | V | H | V | H | 1 | H | 1h | H | 1h | H | 1h | H | 1h | H | 1h | H | 1h | H | H | H | H | H | H | H | H | H |
10 | V | 1 | V | V | V | 1 | V | V | V | 1 | V | 2h | 1h | 1h | ||||||||||||||||
11 | V | 1 | V | H | V | 1 | V | H | 1v | 12 | H | 1h | 1h | H | 1h | 1h | H | H | 1h | H | H | 1h | H | H |
Updated chart of the game-theoretic values of many mxn Domineering Boards. 1 indicates a first-player win, 2 a second player win, H a horizontal win, V a vertical win. Value such as 1h or 12 means that we don't yet know the exact game theoretic value, but we do know it must be one of the values given. Bold values denote those positions which we did not know the value of until Obsequi was able to solve them.