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Platon Sudoku · Sudoku Study

Bilocations and conjugate pairs · Core Concepts

When a digit has exactly two places in a row, column or box, those positions form a conjugate pair.

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

When a digit has exactly two places in a row, column or box, those positions form a conjugate pair.

How to find it

Fix one digit and count all its positions throughout the chosen region.

Common mistake

Count one digit in two cells, not two digits in one cell. A third place breaks the pair.

Row

Teaching board · local candidate diagram

Observe candidates

When a digit has exactly two places in a row, column or box, those positions form a conjugate pair.

In row 2, 2 has only two positions: r2c1, r2c5.
In row 2, 2 has only two positions: r2c1, r2c5.
Verify the condition

Fix one digit and count all its positions throughout the chosen region.

In row 2, 2 has only two positions: r2c1, r2c5.
In row 2, 2 has only two positions: r2c1, r2c5.
Draw the conclusion

The marked row, column or box has only two places for this digit: a bilocation.

In row 2, 2 has only two positions: r2c1, r2c5.
In row 2, 2 has only two positions: r2c1, r2c5.

Column

Teaching board · local candidate diagram

Observe candidates

When a digit has exactly two places in a row, column or box, those positions form a conjugate pair.

In column 2, 2 has only two positions: r1c2, r5c2.
In column 2, 2 has only two positions: r1c2, r5c2.
Verify the condition

Fix one digit and count all its positions throughout the chosen region.

In column 2, 2 has only two positions: r1c2, r5c2.
In column 2, 2 has only two positions: r1c2, r5c2.
Draw the conclusion

The marked row, column or box has only two places for this digit: a bilocation.

In column 2, 2 has only two positions: r1c2, r5c2.
In column 2, 2 has only two positions: r1c2, r5c2.

Box

Teaching board · local candidate diagram

Observe candidates

When a digit has exactly two places in a row, column or box, those positions form a conjugate pair.

In box 1, 2 has only two positions: r2c1, r3c2.
In box 1, 2 has only two positions: r2c1, r3c2.
Verify the condition

Fix one digit and count all its positions throughout the chosen region.

In box 1, 2 has only two positions: r2c1, r3c2.
In box 1, 2 has only two positions: r2c1, r3c2.
Draw the conclusion

The marked row, column or box has only two places for this digit: a bilocation.

In box 1, 2 has only two positions: r2c1, r3c2.
In box 1, 2 has only two positions: r2c1, r3c2.

Recognition practice

Teaching board · local candidate diagram

Recognition practice 1

Does the digit have exactly two places in the marked region?

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

Yes

Recognition practice 2

Does the digit have exactly two places in the marked region?

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

No

Recognition practice 3

Does the digit have exactly two places in the marked region?

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

Yes

Recognition practice 4

Does the digit have exactly two places in the marked region?

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

No

Recognition practice 5

Does the digit have exactly two places in the marked region?

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

Yes

Recognition practice 6

Does the digit have exactly two places in the marked region?

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

No

Recognition practice 7

Does the digit have exactly two places in the marked region?

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

Yes

Recognition practice 8

Does the digit have exactly two places in the marked region?

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

No

Recognition practice 9

Does the digit have exactly two places in the marked region?

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

Yes

Recognition practice 10

Does the digit have exactly two places in the marked region?

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

No

Recognition practice 11

Does the digit have exactly two places in the marked region?

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

Yes

Recognition practice 12

Does the digit have exactly two places in the marked region?

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