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Platon Sudoku · Sudoku Study

Chain elimination targets · Core Concepts

A candidate seeing both endpoints, of which at least one must be true, cannot itself be true.

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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Definition

A candidate seeing both endpoints, of which at least one must be true, cannot itself be true.

How to find it

Prove the endpoint relation first, then check the target against each endpoint separately.

Common mistake

Seeing only one endpoint leaves the other possible and proves no elimination.

Short chain

Teaching board · local candidate diagram

Observe candidates

A candidate seeing both endpoints, of which at least one must be true, cannot itself be true.

r1c2 sees both endpoints r2c2 and r6c2, so its 2 can be excluded.
r1c2 sees both endpoints r2c2 and r6c2, so its 2 can be excluded.
Verify the condition

Prove the endpoint relation first, then check the target against each endpoint separately.

r1c2 sees both endpoints r2c2 and r6c2, so its 2 can be excluded.
r1c2 sees both endpoints r2c2 and r6c2, so its 2 can be excluded.
Draw the conclusion

The target sees both endpoints, one of which must be true, so it can be removed.

r1c2 sees both endpoints r2c2 and r6c2, so its 2 can be excluded.
r1c2 sees both endpoints r2c2 and r6c2, so its 2 can be excluded.

Long chain

Teaching board · local candidate diagram

Observe candidates

A candidate seeing both endpoints, of which at least one must be true, cannot itself be true.

r1c2 sees both endpoints r2c2 and r8c2, so its 2 can be excluded.
r1c2 sees both endpoints r2c2 and r8c2, so its 2 can be excluded.
Verify the condition

Prove the endpoint relation first, then check the target against each endpoint separately.

r1c2 sees both endpoints r2c2 and r8c2, so its 2 can be excluded.
r1c2 sees both endpoints r2c2 and r8c2, so its 2 can be excluded.
Draw the conclusion

The target sees both endpoints, one of which must be true, so it can be removed.

r1c2 sees both endpoints r2c2 and r8c2, so its 2 can be excluded.
r1c2 sees both endpoints r2c2 and r8c2, so its 2 can be excluded.

Recognition practice

Teaching board · local candidate diagram

Recognition practice 1

Does the marked target see both endpoints?

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

Yes

Recognition practice 2

Does the marked target see both endpoints?

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

No

Recognition practice 3

Does the marked target see both endpoints?

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

Yes

Recognition practice 4

Does the marked target see both endpoints?

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

No

Recognition practice 5

Does the marked target see both endpoints?

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

Yes

Recognition practice 6

Does the marked target see both endpoints?

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

No

Recognition practice 7

Does the marked target see both endpoints?

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

Yes

Recognition practice 8

Does the marked target see both endpoints?

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

No

Recognition practice 9

Does the marked target see both endpoints?

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

Yes

Recognition practice 10

Does the marked target see both endpoints?

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

No

Recognition practice 11

Does the marked target see both endpoints?

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

Yes

Recognition practice 12

Does the marked target see both endpoints?

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