+---+---+---+---+ +---+---+---+---+
| | 5 | 5 | | | | 6 | | 6 |
+---+---+---+---+ +---+---+---+---+
| 5 | | | 5 | | 6 | | | |
+---+---+---+---+ +---+---+---+---+
| 5 | | | 5 | | | | | 6 |
+---+---+---+---+ +---+---+---+---+
| | 5 | 5 | | | 6 | | 6 | |
+---+---+---+---+ +---+---+---+---+
+---+---+---+---+
| | | | |
+---+---+---+---+
| | | | |
+---+---+---+---+
| | | | |
+---+---+---+---+
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+---+---+---+---+
- Each watchman looks in all directions on a square board (horizontal, vertical and both diagonals).
- A watchman can see beyond another watchman.
- On the left board, each watchman has five vacant cells under his gaze.
- On the right board, each watchman can see six empty cells.
What is the maximum number of watchmen that can be placed so that each sees seven empty cells?