### Brain Teasers

# Mini Mine Sweeper

5 total bombs in 3 by 4 grid (3 rows, 4 columns):

row 1: ? ? 2 1

row 2: 3 ? ? ?

row 3: ? 1 ? ?

Find the bombs.

Mine Sweeper rules: each number represents the exact total of surrounding mines.

row 1: ? ? 2 1

row 2: 3 ? ? ?

row 3: ? 1 ? ?

Find the bombs.

Mine Sweeper rules: each number represents the exact total of surrounding mines.

### Hint

There is enough information to figure out the entire grid.### Answer

* are bombs.row 1: * * 2 1

row 2: 3 3 3 *

row 3: * 1 2 *

Explanation:

Let's rewrite the grid with letters:

row 1: A B 2 1

row 2: 3 C D E

row 3: F 1 G H

Step 1: we know either D or E is a bomb (but not both).

Step 2: From Step 1, we know B or C is a bomb (but not both).

Step 3: From Step 2, we know A and F are bombs.

row 1: * B 2 1

row 2: 3 C D E

row 3: * 1 G H

Step 4: From Step 3, we know C, D, and G are not bombs.

row 1: * B 2 1

row 2: 3 - - E

row 3: * 1 - H

Step 5: From step 4, we know B is a bomb and E is a bomb.

row 1: * * 2 1

row 2: 3 - - *

row 3: * 1 - H

Step 6: Since there are exactly 5 bombs H must be a bomb.

row 1: * * 2 1

row 2: 3 - - *

row 3: * 1 - *

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