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.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.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.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.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.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.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.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.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.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.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.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.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 diagramG1: 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 diagramG1: 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 diagramG1: 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 diagramG1: 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 diagramG1: 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 diagramG1: 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 diagramG1: 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 diagramG1: 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 diagramG1: 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 diagramG1: 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 diagramG1: 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 diagramG1: 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 ↗