Solution 1. The column player replaces A by 2. This forces the row player to play in the same row and therefore to replace B by 6 to satisfy the row constraint, yielding:
8 | 1 | 5 | 3 | 4 | 9 | 2 | 6 | 7 |
7 | 2 | 4 | 6 | 5 | 1 | 8 | 9 | 3 |
3 | 9 | 6 | 8 | 7 | 2 | 4 | 1 | 5 |
1 | 4 | 7 | 5 | 2 | 8 | 6 | 3 | 9 |
C | 8 | 2 | 9 | 3 | 6 | D | E | 1 |
9 | 6 | 3 | F | 1 | 7 | G | H | I |
2 | 3 | 1 | J | 8 | K | 9 | 5 | 6 |
6 | 7 | 8 | 1 | 9 | 5 | 3 | 2 | 4 |
L | 5 | 9 | 2 | M | 3 | 1 | 7 | N |
Now, the column player replaces J by 4, yielding:
8 | 1 | 5 | 3 | 4 | 9 | 2 | 6 | 7 |
7 | 2 | 4 | 6 | 5 | 1 | 8 | 9 | 3 |
3 | 9 | 6 | 8 | 7 | 2 | 4 | 1 | 5 |
1 | 4 | 7 | 5 | 2 | 8 | 6 | 3 | 9 |
C | 8 | 2 | 9 | 3 | 6 | D | E | 1 |
9 | 6 | 3 | F | 1 | 7 | G | H | I |
2 | 3 | 1 | 4 | 8 | K | 9 | 5 | 6 |
6 | 7 | 8 | 1 | 9 | 5 | 3 | 2 | 4 |
L | 5 | 9 | 2 | M | 3 | 1 | 7 | N |
That forces the row player to replace K by something. In that box, the only possibility is 7, but it is precluded by the column constraint on K's column. Thus, the column player forces a win.