English

Platon Sudoku · Sudoku Study

Common conclusions · Core Concepts

A result supported by every viable exhaustive branch holds without choosing a branch.

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 result supported by every viable exhaustive branch holds without choosing a branch.

How to find it

Track each branch separately and keep only results they all share.

Common mistake

A target removed in just one branch is not a common conclusion.

2 branches

Teaching board · local candidate diagram

Observe candidates

A result supported by every viable exhaustive branch holds without choosing a branch.

All 2 branches exclude 2 at r6c6, regardless of which branch is chosen.
All 2 branches exclude 2 at r6c6, regardless of which branch is chosen.
Verify the condition

Track each branch separately and keep only results they all share.

All 2 branches exclude 2 at r6c6, regardless of which branch is chosen.
All 2 branches exclude 2 at r6c6, regardless of which branch is chosen.
Draw the conclusion

An elimination is common only when every starting branch reaches it.

All 2 branches exclude 2 at r6c6, regardless of which branch is chosen.
All 2 branches exclude 2 at r6c6, regardless of which branch is chosen.

Branch A: target removed · Branch B: target removed

3 branches

Teaching board · local candidate diagram

Observe candidates

A result supported by every viable exhaustive branch holds without choosing a branch.

All 3 branches exclude 2 at r6c6, regardless of which branch is chosen.
All 3 branches exclude 2 at r6c6, regardless of which branch is chosen.
Verify the condition

Track each branch separately and keep only results they all share.

All 3 branches exclude 2 at r6c6, regardless of which branch is chosen.
All 3 branches exclude 2 at r6c6, regardless of which branch is chosen.
Draw the conclusion

An elimination is common only when every starting branch reaches it.

All 3 branches exclude 2 at r6c6, regardless of which branch is chosen.
All 3 branches exclude 2 at r6c6, regardless of which branch is chosen.

Branch A: target removed · Branch B: target removed · Branch C: target removed

4 branches

Teaching board · local candidate diagram

Observe candidates

A result supported by every viable exhaustive branch holds without choosing a branch.

All 4 branches exclude 2 at r6c6, regardless of which branch is chosen.
All 4 branches exclude 2 at r6c6, regardless of which branch is chosen.
Verify the condition

Track each branch separately and keep only results they all share.

All 4 branches exclude 2 at r6c6, regardless of which branch is chosen.
All 4 branches exclude 2 at r6c6, regardless of which branch is chosen.
Draw the conclusion

An elimination is common only when every starting branch reaches it.

All 4 branches exclude 2 at r6c6, regardless of which branch is chosen.
All 4 branches exclude 2 at r6c6, regardless of which branch is chosen.

Branch A: target removed · Branch B: target removed · Branch C: target removed · Branch D: target removed

Recognition practice

Teaching board · local candidate diagram

Recognition practice 1

Every exhaustive branch removes the marked target. Is removal a common conclusion?

Teaching board · local candidate diagram
Teaching board · local candidate diagram

Branch A: target removed · Branch B: target removed

Draw the conclusion

Yes

Recognition practice 2

At least one branch keeps the marked target. Is removal a common conclusion?

Teaching board · local candidate diagram
Teaching board · local candidate diagram

Branch A: target removed · Branch B: target remains

Draw the conclusion

No

Recognition practice 3

Every exhaustive branch removes the marked target. Is removal a common conclusion?

Teaching board · local candidate diagram
Teaching board · local candidate diagram

Branch A: target removed · Branch B: target removed · Branch C: target removed

Draw the conclusion

Yes

Recognition practice 4

At least one branch keeps the marked target. Is removal a common conclusion?

Teaching board · local candidate diagram
Teaching board · local candidate diagram

Branch A: target removed · Branch B: target removed · Branch C: target remains

Draw the conclusion

No

Recognition practice 5

Every exhaustive branch removes the marked target. Is removal a common conclusion?

Teaching board · local candidate diagram
Teaching board · local candidate diagram

Branch A: target removed · Branch B: target removed · Branch C: target removed · Branch D: target removed

Draw the conclusion

Yes

Recognition practice 6

At least one branch keeps the marked target. Is removal a common conclusion?

Teaching board · local candidate diagram
Teaching board · local candidate diagram

Branch A: target removed · Branch B: target removed · Branch C: target removed · Branch D: target remains

Draw the conclusion

No

Recognition practice 7

Every exhaustive branch removes the marked target. Is removal a common conclusion?

Teaching board · local candidate diagram
Teaching board · local candidate diagram

Branch A: target removed · Branch B: target removed

Draw the conclusion

Yes

Recognition practice 8

At least one branch keeps the marked target. Is removal a common conclusion?

Teaching board · local candidate diagram
Teaching board · local candidate diagram

Branch A: target removed · Branch B: target remains

Draw the conclusion

No

Recognition practice 9

Every exhaustive branch removes the marked target. Is removal a common conclusion?

Teaching board · local candidate diagram
Teaching board · local candidate diagram

Branch A: target removed · Branch B: target removed · Branch C: target removed

Draw the conclusion

Yes

Recognition practice 10

At least one branch keeps the marked target. Is removal a common conclusion?

Teaching board · local candidate diagram
Teaching board · local candidate diagram

Branch A: target removed · Branch B: target removed · Branch C: target remains

Draw the conclusion

No

Recognition practice 11

Every exhaustive branch removes the marked target. Is removal a common conclusion?

Teaching board · local candidate diagram
Teaching board · local candidate diagram

Branch A: target removed · Branch B: target removed · Branch C: target removed · Branch D: target removed

Draw the conclusion

Yes

Recognition practice 12

At least one branch keeps the marked target. Is removal a common conclusion?

Teaching board · local candidate diagram
Teaching board · local candidate diagram

Branch A: target removed · Branch B: target removed · Branch C: target removed · Branch D: target remains

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