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Related: Is this board solvable?

The following happened playing Minesweeper:

Minesweeper screenshot

As far as I know, there was no way to know for sure where the remaining two mines are located.

How does one correctly determine whether the Minesweeper board is no longer solvable?

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Firstly: Note that both mines can't be in the top two spaces - i.e. there must be a mine here:

enter image description here

From that you can see there can't be a mine in the middle space - so the two mines must be at the top and the bottom of the column of three and not in the middle.

In terms of whether it is solvable or not: the only real way to tell is if the puzzle has multiple solutions - i.e. you can place the mines such that the conditions of the puzzle are satisfied in more than one way. In this case, the only possible solution is the one described.

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  • They turned out to be in the upper and bottom tile. According to your post this should've been foreseen? – Mast Apr 25 '15 at 14:11
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    @Mast Yes. The "4" square already has 3 mines adjacent to it.You can see that the two remaining mines can't be in the top two spaces, otherwise the "4" square would have 5 mines adjacent to it. The solution then follows from this information. – imulsion Apr 25 '15 at 14:13
  • Great. Now I know this board was solvable, but the original question still stands. – Mast Apr 25 '15 at 14:14
  • @Mast Edited the answer – imulsion Apr 25 '15 at 14:16

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