# Minesweeper Queens

Based off of: Ken Duisenberg's Puzzle of the Week Oct. 15, 2003: Minesweeper Queens

For the puzzle, in the given diagram, the numbered squares are empty, from which the given mines can be attacked by a chess queen. As in standard chess, a queen can attack all eight directions, and only one mine in a single direction.

For example:

Place 5 mines:

1 2
4
3

has 4 solutions, one of them being (x represents a mine)

+---+---+---+---+---+
| 1 | x | x | x | 2 |
+---+---+---+---+---+
|   |   | x | 4 |   |
+---+---+---+---+---+
|   |   |   | 3 | x |
+---+---+---+---+---+

To get the $$\color{green}✓$$:

• Place 13 mines in this grid
• Show the steps you took.
+---+---+---+---+---+---+
|   | 4 |   | 4 |   |   |
+---+---+---+---+---+---+
| 4 |   |   |   |   |   |
+---+---+---+---+---+---+
|   |   | 6 |   |   |   |
+---+---+---+---+---+---+
| 5 |   |   |   |   |   |
+---+---+---+---+---+---+
|   |   |   | 5 |   |   |
+---+---+---+---+---+---+
| 3 |   | 4 |   |   |   |
+---+---+---+---+---+---+
• Are the lines-of-sight blocked by numbers (as if there was a friendly queen standing on each numbered space), or only by mines? Commented Jan 24 at 0:20
• @TimC Only by mines is my understanding Commented Jan 24 at 2:06