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Platon Sudoku · Sudoku Study

At least one in a group · Core Concepts

A region must contain a digit. If its only outside position is false, at least one member of the group is true.

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 region must contain a digit. If its only outside position is false, at least one member of the group is true.

How to find it

List every position for the digit in the region, rule out the outside position, and check for other outside places.

Common mistake

A true group does not mean every member is true. A missed outside candidate breaks the conclusion.

Pair · Row

Teaching board · local candidate diagram

Observe candidates

A region must contain a digit. If its only outside position is false, at least one member of the group is true.

If the outside 2 at r3c6 is false, at least one cell in r3c1, r3c2 must contain 2.
If the outside 2 at r3c6 is false, at least one cell in r3c1, r3c2 must contain 2.
Verify the condition

List every position for the digit in the region, rule out the outside position, and check for other outside places.

If the outside 2 at r3c6 is false, at least one cell in r3c1, r3c2 must contain 2.
If the outside 2 at r3c6 is false, at least one cell in r3c1, r3c2 must contain 2.
Draw the conclusion

If the only outside position is false, at least one candidate inside the group must be true.

If the outside 2 at r3c6 is false, at least one cell in r3c1, r3c2 must contain 2.
If the outside 2 at r3c6 is false, at least one cell in r3c1, r3c2 must contain 2.

G1: R3C1=2, R3C2=2

Pair · Column

Teaching board · local candidate diagram

Observe candidates

A region must contain a digit. If its only outside position is false, at least one member of the group is true.

If the outside 2 at r6c3 is false, at least one cell in r1c3, r2c3 must contain 2.
If the outside 2 at r6c3 is false, at least one cell in r1c3, r2c3 must contain 2.
Verify the condition

List every position for the digit in the region, rule out the outside position, and check for other outside places.

If the outside 2 at r6c3 is false, at least one cell in r1c3, r2c3 must contain 2.
If the outside 2 at r6c3 is false, at least one cell in r1c3, r2c3 must contain 2.
Draw the conclusion

If the only outside position is false, at least one candidate inside the group must be true.

If the outside 2 at r6c3 is false, at least one cell in r1c3, r2c3 must contain 2.
If the outside 2 at r6c3 is false, at least one cell in r1c3, r2c3 must contain 2.

G1: R1C3=2, R2C3=2

Triple · Row

Teaching board · local candidate diagram

Observe candidates

A region must contain a digit. If its only outside position is false, at least one member of the group is true.

If the outside 2 at r3c6 is false, at least one cell in r3c1, r3c2, r3c3 must contain 2.
If the outside 2 at r3c6 is false, at least one cell in r3c1, r3c2, r3c3 must contain 2.
Verify the condition

List every position for the digit in the region, rule out the outside position, and check for other outside places.

If the outside 2 at r3c6 is false, at least one cell in r3c1, r3c2, r3c3 must contain 2.
If the outside 2 at r3c6 is false, at least one cell in r3c1, r3c2, r3c3 must contain 2.
Draw the conclusion

If the only outside position is false, at least one candidate inside the group must be true.

If the outside 2 at r3c6 is false, at least one cell in r3c1, r3c2, r3c3 must contain 2.
If the outside 2 at r3c6 is false, at least one cell in r3c1, r3c2, r3c3 must contain 2.

G1: R3C1=2, R3C2=2, R3C3=2

Triple · Column

Teaching board · local candidate diagram

Observe candidates

A region must contain a digit. If its only outside position is false, at least one member of the group is true.

If the outside 2 at r6c3 is false, at least one cell in r1c3, r2c3, r3c3 must contain 2.
If the outside 2 at r6c3 is false, at least one cell in r1c3, r2c3, r3c3 must contain 2.
Verify the condition

List every position for the digit in the region, rule out the outside position, and check for other outside places.

If the outside 2 at r6c3 is false, at least one cell in r1c3, r2c3, r3c3 must contain 2.
If the outside 2 at r6c3 is false, at least one cell in r1c3, r2c3, r3c3 must contain 2.
Draw the conclusion

If the only outside position is false, at least one candidate inside the group must be true.

If the outside 2 at r6c3 is false, at least one cell in r1c3, r2c3, r3c3 must contain 2.
If the outside 2 at r6c3 is false, at least one cell in r1c3, r2c3, r3c3 must contain 2.

G1: R1C3=2, R2C3=2, R3C3=2

Recognition practice

Teaching board · local candidate diagram

Recognition practice 1

If the marked outside candidate is false, must a group member be true?

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

G1: R3C1=2, R3C2=2

Draw the conclusion

Yes

Recognition practice 2

If the marked outside candidate is false, must a group member be true?

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

G1: R3C1=2, R3C2=2

Draw the conclusion

No

Recognition practice 3

If the marked outside candidate is false, must a group member be true?

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

G1: R1C3=2, R2C3=2, R3C3=2

Draw the conclusion

Yes

Recognition practice 4

If the marked outside candidate is false, must a group member be true?

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

G1: R1C3=2, R2C3=2, R3C3=2

Draw the conclusion

No

Recognition practice 5

If the marked outside candidate is false, must a group member be true?

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

G1: R7C9=2, R7C8=2

Draw the conclusion

Yes

Recognition practice 6

If the marked outside candidate is false, must a group member be true?

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

G1: R7C9=2, R7C8=2

Draw the conclusion

No

Recognition practice 7

If the marked outside candidate is false, must a group member be true?

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

G1: R9C7=2, R8C7=2, R7C7=2

Draw the conclusion

Yes

Recognition practice 8

If the marked outside candidate is false, must a group member be true?

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

G1: R9C7=2, R8C7=2, R7C7=2

Draw the conclusion

No

Recognition practice 9

If the marked outside candidate is false, must a group member be true?

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

G1: R3C9=2, R3C8=2

Draw the conclusion

Yes

Recognition practice 10

If the marked outside candidate is false, must a group member be true?

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

G1: R3C9=2, R3C8=2

Draw the conclusion

No

Recognition practice 11

If the marked outside candidate is false, must a group member be true?

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

G1: R7C1=2, R7C2=2, R7C3=2

Draw the conclusion

Yes

Recognition practice 12

If the marked outside candidate is false, must a group member be true?

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

G1: R7C1=2, R7C2=2, R7C3=2

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