Minesweeper 1-2 Pattern

Compare a 1 and a 2 to find a mine. The extra square holds the extra mine.

See the pattern step by step

Comparing a 1 and a 2 locates the extra mine in the covered square on the right.

Three covered squares, A, B and C, sit above a 1 and a 2. The 1 touches A and B. The 2 touches all three squares.

A + B = 1 and A + B + C = 2. The 2 needs one more mine than the 1, and only C is outside their shared pair.

A flag marks the mine in the rightmost square, C. A and B remain unknown and hold the other mine between them.

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Board example

A and B hold one mine. A, B and C hold two mines.

Before

A 1 and a 2 sit below three covered squares; only the 2 touches the rightmost square.

Three covered squares, A, B and C, sit above a 1 and a 2. The 1 touches A and B. The 2 touches all three squares.

After

A flag marks the rightmost mine; one other mine remains unresolved in the covered left pair.

A flag marks the mine in the rightmost square, C. A and B remain unknown and hold the other mine between them.

Why it works

The 2 needs one more mine than the 1. C is its only extra square, so C has that mine. Either A or B could hold the other mine.

The 2 needs one mine beyond the pair counted by the 1, proving the rightmost square mined.

A + B = 1 and A + B + C = 2. The 2 needs one more mine than the 1, and only C is outside their shared pair.

The rule

A, B and C are the only covered squares around these numbers. The left number touches A and B. The right number touches A, B and C. The lower-right square is already open and is left out of the picture.

What to check

Check every square around both numbers, including the corners. The covered squares must match this example. First subtract any known mines from the numbers they touch.

When the extra mine has two possible squares

Add a covered square, D, diagonally below and right of the 2. A, B and C still form the top row. The 1 gives A + B = 1, while the 2 gives A + B + C + D = 2. Subtracting leaves C + D = 1. One of that pair has a mine. Either position fits the clues, so both squares remain unknown.

Try this pattern

Use the numbers to choose your next move. Include the corners when you count. Squares outside the picture are open. Each flag marks a known mine.

Select every square you can prove has a mine.

12

See why

The 2 needs one more mine than the 1. C is its only extra square, so C has that mine. Either A or B could hold the other mine.

Read the board, then choose

An extra covered square, D, also touches the 2. Now A + B = 1 and A + B + C + D = 2. Subtracting gives C + D = 1. The mine could be in either C or D.

An extra covered square beside the 2 splits its extra mine between C and D; neither location is determined.

A three-row, three-column board has covered A, B and C across the top. The middle row starts with 1 and 2; covered D is at the bottom right. All remaining dashes mark omitted open space or board edge. The 1 gives A + B = 1, while the 2 also counts C and D. Thus C + D = 1. Either can hold that mine, and all four covered locations remain unresolved.

Choose a covered square. Then decide whether it is safe, has a mine, or needs more information.

A
B
C
D
Why this answer is correct

A: Not enough information · B: Not enough information · C: Not enough information · D: Not enough information

The shown covered squares are the only unknown squares around these numbers. Gaps stand for open squares or the board edge. Check every nearby square before you apply the result. Flags in these examples mark known mines.

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