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Platon Sudoku · Sudoku Study

Candidate elimination · Core Concepts

A placed digit removes that digit from every empty cell that sees it.

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

Definition

A placed digit removes that digit from every empty cell that sees it.

How to find it

Start at a placed value and inspect matching candidates in its row, column and box.

Common mistake

The placed digit must see the target. A conflict between unresolved candidates alone does not choose one to remove.

Row

Teaching board · local candidate diagram

Observe candidates

A placed digit removes that digit from every empty cell that sees it.

r2c1 contains 2, so r2c5, sharing row 2, cannot also contain 2.
r2c1 contains 2, so r2c5, sharing row 2, cannot also contain 2.
Verify the condition

Start at a placed value and inspect matching candidates in its row, column and box.

r2c1 contains 2, so r2c5, sharing row 2, cannot also contain 2.
r2c1 contains 2, so r2c5, sharing row 2, cannot also contain 2.
Draw the conclusion

The placed digit shares the marked region with the target candidate, so that candidate can be removed.

r2c1 contains 2, so r2c5, sharing row 2, cannot also contain 2.
r2c1 contains 2, so r2c5, sharing row 2, cannot also contain 2.

Column

Teaching board · local candidate diagram

Observe candidates

A placed digit removes that digit from every empty cell that sees it.

r1c2 contains 2, so r5c2, sharing column 2, cannot also contain 2.
r1c2 contains 2, so r5c2, sharing column 2, cannot also contain 2.
Verify the condition

Start at a placed value and inspect matching candidates in its row, column and box.

r1c2 contains 2, so r5c2, sharing column 2, cannot also contain 2.
r1c2 contains 2, so r5c2, sharing column 2, cannot also contain 2.
Draw the conclusion

The placed digit shares the marked region with the target candidate, so that candidate can be removed.

r1c2 contains 2, so r5c2, sharing column 2, cannot also contain 2.
r1c2 contains 2, so r5c2, sharing column 2, cannot also contain 2.

Box

Teaching board · local candidate diagram

Observe candidates

A placed digit removes that digit from every empty cell that sees it.

r2c1 contains 2, so r3c2, sharing box 1, cannot also contain 2.
r2c1 contains 2, so r3c2, sharing box 1, cannot also contain 2.
Verify the condition

Start at a placed value and inspect matching candidates in its row, column and box.

r2c1 contains 2, so r3c2, sharing box 1, cannot also contain 2.
r2c1 contains 2, so r3c2, sharing box 1, cannot also contain 2.
Draw the conclusion

The placed digit shares the marked region with the target candidate, so that candidate can be removed.

r2c1 contains 2, so r3c2, sharing box 1, cannot also contain 2.
r2c1 contains 2, so r3c2, sharing box 1, cannot also contain 2.

Recognition practice

Teaching board · local candidate diagram

Recognition practice 1

Can the placed value remove the highlighted candidate?

Teaching board · local candidate diagram
Teaching board · local candidate diagram
Draw the conclusion

Yes

Recognition practice 2

Can the placed value remove the highlighted candidate?

Teaching board · local candidate diagram
Teaching board · local candidate diagram
Draw the conclusion

No

Recognition practice 3

Can the placed value remove the highlighted candidate?

Teaching board · local candidate diagram
Teaching board · local candidate diagram
Draw the conclusion

Yes

Recognition practice 4

Can the placed value remove the highlighted candidate?

Teaching board · local candidate diagram
Teaching board · local candidate diagram
Draw the conclusion

No

Recognition practice 5

Can the placed value remove the highlighted candidate?

Teaching board · local candidate diagram
Teaching board · local candidate diagram
Draw the conclusion

Yes

Recognition practice 6

Can the placed value remove the highlighted candidate?

Teaching board · local candidate diagram
Teaching board · local candidate diagram
Draw the conclusion

No

Recognition practice 7

Can the placed value remove the highlighted candidate?

Teaching board · local candidate diagram
Teaching board · local candidate diagram
Draw the conclusion

Yes

Recognition practice 8

Can the placed value remove the highlighted candidate?

Teaching board · local candidate diagram
Teaching board · local candidate diagram
Draw the conclusion

No

Recognition practice 9

Can the placed value remove the highlighted candidate?

Teaching board · local candidate diagram
Teaching board · local candidate diagram
Draw the conclusion

Yes

Recognition practice 10

Can the placed value remove the highlighted candidate?

Teaching board · local candidate diagram
Teaching board · local candidate diagram
Draw the conclusion

No

Recognition practice 11

Can the placed value remove the highlighted candidate?

Teaching board · local candidate diagram
Teaching board · local candidate diagram
Draw the conclusion

Yes

Recognition practice 12

Can the placed value remove the highlighted candidate?

Teaching board · local candidate diagram
Teaching board · local candidate diagram
Draw the conclusion

No

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