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Platon Sudoku · Sudoku Study

Deadly rectangles · Core Concepts

Four cells in two rows, columns and boxes, each with only the same pair, could swap that pair and create a second completion.

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

Four cells in two rows, columns and boxes, each with only the same pair, could swap that pair and create a second completion.

How to find it

Check the four corners, exactly two boxes, and the same two candidates in all four cells.

Common mistake

The cells must span exactly two boxes and each have only the same pair. Four boxes or an extra candidate breaks the condition.

Horizontal

Teaching board · local candidate diagram

Observe candidates

Four cells in two rows, columns and boxes, each with only the same pair, could swap that pair and create a second completion.

r1c2, r1c8, r2c2, r2c8 span two rows, two columns and two boxes, with only 2, 3; swapping the digits gives another local filling.
r1c2, r1c8, r2c2, r2c8 span two rows, two columns and two boxes, with only 2, 3; swapping the digits gives another local filling.
Verify the condition

Check the four corners, exactly two boxes, and the same two candidates in all four cells.

r1c2, r1c8, r2c2, r2c8 span two rows, two columns and two boxes, with only 2, 3; swapping the digits gives another local filling.
r1c2, r1c8, r2c2, r2c8 span two rows, two columns and two boxes, with only 2, 3; swapping the digits gives another local filling.
Draw the conclusion

Four cells span two rows, columns, and boxes with the same candidate pair.

r1c2, r1c8, r2c2, r2c8 span two rows, two columns and two boxes, with only 2, 3; swapping the digits gives another local filling.
r1c2, r1c8, r2c2, r2c8 span two rows, two columns and two boxes, with only 2, 3; swapping the digits gives another local filling.

Vertical

Teaching board · local candidate diagram

Observe candidates

Four cells in two rows, columns and boxes, each with only the same pair, could swap that pair and create a second completion.

r2c1, r8c1, r2c2, r8c2 span two rows, two columns and two boxes, with only 2, 3; swapping the digits gives another local filling.
r2c1, r8c1, r2c2, r8c2 span two rows, two columns and two boxes, with only 2, 3; swapping the digits gives another local filling.
Verify the condition

Check the four corners, exactly two boxes, and the same two candidates in all four cells.

r2c1, r8c1, r2c2, r8c2 span two rows, two columns and two boxes, with only 2, 3; swapping the digits gives another local filling.
r2c1, r8c1, r2c2, r8c2 span two rows, two columns and two boxes, with only 2, 3; swapping the digits gives another local filling.
Draw the conclusion

Four cells span two rows, columns, and boxes with the same candidate pair.

r2c1, r8c1, r2c2, r8c2 span two rows, two columns and two boxes, with only 2, 3; swapping the digits gives another local filling.
r2c1, r8c1, r2c2, r8c2 span two rows, two columns and two boxes, with only 2, 3; swapping the digits gives another local filling.

Recognition practice

Teaching board · local candidate diagram

Recognition practice 1

Do these cells meet the two-box, same-pair rectangle conditions?

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

Yes

Recognition practice 2

Do these cells meet the two-box, same-pair rectangle conditions?

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

No

Recognition practice 3

Do these cells meet the two-box, same-pair rectangle conditions?

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

Yes

Recognition practice 4

Do these cells meet the two-box, same-pair rectangle conditions?

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

No

Recognition practice 5

Do these cells meet the two-box, same-pair rectangle conditions?

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

Yes

Recognition practice 6

Do these cells meet the two-box, same-pair rectangle conditions?

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

No

Recognition practice 7

Do these cells meet the two-box, same-pair rectangle conditions?

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

Yes

Recognition practice 8

Do these cells meet the two-box, same-pair rectangle conditions?

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

No

Recognition practice 9

Do these cells meet the two-box, same-pair rectangle conditions?

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

Yes

Recognition practice 10

Do these cells meet the two-box, same-pair rectangle conditions?

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

No

Recognition practice 11

Do these cells meet the two-box, same-pair rectangle conditions?

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

Yes

Recognition practice 12

Do these cells meet the two-box, same-pair rectangle conditions?

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