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Platon Sudoku · Sudoku Study

Chain endpoints · Core Concepts

The outer candidates are endpoints. In an alternating chain beginning and ending with strong links, at least one endpoint must 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

The outer candidates are endpoints. In an alternating chain beginning and ending with strong links, at least one endpoint must be true.

How to find it

Check the full link order, then identify the candidates outside the first and last links.

Common mistake

Endpoint visibility or a chain-like shape does not replace the link proof.

Short chain

Teaching board · local candidate diagram

Observe candidates

The outer candidates are endpoints. In an alternating chain beginning and ending with strong links, at least one endpoint must be true.

r2c2 and r6c2 are endpoints with strong outer links; at least one 2 is true.
r2c2 and r6c2 are endpoints with strong outer links; at least one 2 is true.
Verify the condition

Check the full link order, then identify the candidates outside the first and last links.

r2c2 and r6c2 are endpoints with strong outer links; at least one 2 is true.
r2c2 and r6c2 are endpoints with strong outer links; at least one 2 is true.
Draw the conclusion

The outer candidates are endpoints; in this chain at least one must be true.

r2c2 and r6c2 are endpoints with strong outer links; at least one 2 is true.
r2c2 and r6c2 are endpoints with strong outer links; at least one 2 is true.

Long chain

Teaching board · local candidate diagram

Observe candidates

The outer candidates are endpoints. In an alternating chain beginning and ending with strong links, at least one endpoint must be true.

r2c2 and r8c2 are endpoints with strong outer links; at least one 2 is true.
r2c2 and r8c2 are endpoints with strong outer links; at least one 2 is true.
Verify the condition

Check the full link order, then identify the candidates outside the first and last links.

r2c2 and r8c2 are endpoints with strong outer links; at least one 2 is true.
r2c2 and r8c2 are endpoints with strong outer links; at least one 2 is true.
Draw the conclusion

The outer candidates are endpoints; in this chain at least one must be true.

r2c2 and r8c2 are endpoints with strong outer links; at least one 2 is true.
r2c2 and r8c2 are endpoints with strong outer links; at least one 2 is true.

Recognition practice

Teaching board · local candidate diagram

Recognition practice 1

Must at least one highlighted endpoint be true?

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

Yes

Recognition practice 2

Must at least one highlighted endpoint be true?

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

No

Recognition practice 3

Must at least one highlighted endpoint be true?

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

Yes

Recognition practice 4

Must at least one highlighted endpoint be true?

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

No

Recognition practice 5

Must at least one highlighted endpoint be true?

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

Yes

Recognition practice 6

Must at least one highlighted endpoint be true?

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

No

Recognition practice 7

Must at least one highlighted endpoint be true?

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

Yes

Recognition practice 8

Must at least one highlighted endpoint be true?

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

No

Recognition practice 9

Must at least one highlighted endpoint be true?

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

Yes

Recognition practice 10

Must at least one highlighted endpoint be true?

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

No

Recognition practice 11

Must at least one highlighted endpoint be true?

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

Yes

Recognition practice 12

Must at least one highlighted endpoint be true?

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