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Platon Sudoku · Sudoku Study

Locked Pair · Step-by-step example

Two cells in the intersection of a row and box, or column and box, each contain only the same two candidates. Remove both digits from all other cells in both shared regions.

This course is adapted from Platon Sudoku App. Read the complete example here, then continue learning and practising in the app.

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Recognize the pattern

Two cells in the intersection of a row and box, or column and box, each contain only the same two candidates.

How to find it

Find a naked pair, then check whether both cells also share a box as well as their row or column.

What it allows

Remove both digits from all other cells in both shared regions.

Avoid the mix-up

A pair sharing only one region is a naked pair. Both cells must have exactly the two candidates; an extra candidate breaks the lock.

Step-by-step example · Row

This example starts from a saved intermediate position. Its candidates include earlier logical eliminations; they are not fresh automatic notes.

Blue: evidence. Green: conclusion. Crossed-out digits: eliminated candidates. R1C1 means row 1, column 1.

Step 1 · Find the pair

The two highlighted cells contain only 1 and 7. They form a pair: one must be 1, the other 7.

The two highlighted cells contain only 1 and 7. They form a pair: one must be 1, the other 7.
The two highlighted cells contain only 1 and 7. They form a pair: one must be 1, the other 7.
Step 2 · See the shared regions

The pair lies in both row 1 and box 1. These two cells reserve 1 and 7, so no other cell in either region can use them.

The pair lies in both row 1 and box 1. These two cells reserve 1 and 7, so no other cell in either region can use them.
The pair lies in both row 1 and box 1. These two cells reserve 1 and 7, so no other cell in either region can use them.
Step 3 · Remove the targets

Remove the marked 1, 7 candidates from the other cells in row 1 and box 1.

Remove the marked 1, 7 candidates from the other cells in row 1 and box 1. R1C2=1, R1C2=7, R1C8=7, R1C9=7, R2C2=7
Remove the marked 1, 7 candidates from the other cells in row 1 and box 1. R1C2=1, R1C2=7, R1C8=7, R1C9=7, R2C2=7

What it allows

Remove the marked 1, 7 candidates from the other cells in row 1 and box 1.

Locked Pair · Remove both digits from all other cells in both shared regions.
Locked Pair · Remove both digits from all other cells in both shared regions.

Step-by-step example · Column

This example starts from a saved intermediate position. Its candidates include earlier logical eliminations; they are not fresh automatic notes.

Blue: evidence. Green: conclusion. Crossed-out digits: eliminated candidates. R1C1 means row 1, column 1.

Step 1 · Find the pair

The two highlighted cells contain only 5 and 8. They form a pair: one must be 5, the other 8.

The two highlighted cells contain only 5 and 8. They form a pair: one must be 5, the other 8.
The two highlighted cells contain only 5 and 8. They form a pair: one must be 5, the other 8.
Step 2 · See the shared regions

The pair lies in both column 8 and box 6. These two cells reserve 5 and 8, so no other cell in either region can use them.

The pair lies in both column 8 and box 6. These two cells reserve 5 and 8, so no other cell in either region can use them.
The pair lies in both column 8 and box 6. These two cells reserve 5 and 8, so no other cell in either region can use them.
Step 3 · Remove the targets

Remove the marked 5, 8 candidates from the other cells in column 8 and box 6.

Remove the marked 5, 8 candidates from the other cells in column 8 and box 6. R3C8=5, R3C8=8, R4C9=5, R4C9=8, R5C7=8, R5C9=5, R5C9=8, R6C7=8, R6C8=8
Remove the marked 5, 8 candidates from the other cells in column 8 and box 6. R3C8=5, R3C8=8, R4C9=5, R4C9=8, R5C7=8, R5C9=5, R5C9=8, R6C7=8, R6C8=8

What it allows

Remove the marked 5, 8 candidates from the other cells in column 8 and box 6.

Locked Pair · Remove both digits from all other cells in both shared regions.
Locked Pair · Remove both digits from all other cells in both shared regions.

Practice

This course is adapted from Platon Sudoku App. Read the complete example here, then continue learning and practising in the app.

View on Google Play