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Platon Sudoku · Sudoku Study

Naked sets · Core Concepts

In one region, N cells together contain exactly N candidate digits. Those digits are reserved for those cells.

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

In one region, N cells together contain exactly N candidate digits. Those digits are reserved for those cells.

How to find it

Choose cells in one row, column or box and count the union of all their candidates.

Common mistake

Count every candidate in the selected cells. More distinct digits than cells breaks this naked set.

Pair · Row

Teaching board · local candidate diagram

Observe candidates

In one region, N cells together contain exactly N candidate digits. Those digits are reserved for those cells.

The 2 marked cells in row 2 have only 2 candidate digits in total: 2, 3.
The 2 marked cells in row 2 have only 2 candidate digits in total: 2, 3.
Verify the condition

Choose cells in one row, column or box and count the union of all their candidates.

The 2 marked cells in row 2 have only 2 candidate digits in total: 2, 3.
The 2 marked cells in row 2 have only 2 candidate digits in total: 2, 3.
Draw the conclusion

The selected cells contain exactly as many distinct candidates as cells: a naked set.

The 2 marked cells in row 2 have only 2 candidate digits in total: 2, 3.
The 2 marked cells in row 2 have only 2 candidate digits in total: 2, 3.

Pair · Column

Teaching board · local candidate diagram

Observe candidates

In one region, N cells together contain exactly N candidate digits. Those digits are reserved for those cells.

The 2 marked cells in column 2 have only 2 candidate digits in total: 2, 3.
The 2 marked cells in column 2 have only 2 candidate digits in total: 2, 3.
Verify the condition

Choose cells in one row, column or box and count the union of all their candidates.

The 2 marked cells in column 2 have only 2 candidate digits in total: 2, 3.
The 2 marked cells in column 2 have only 2 candidate digits in total: 2, 3.
Draw the conclusion

The selected cells contain exactly as many distinct candidates as cells: a naked set.

The 2 marked cells in column 2 have only 2 candidate digits in total: 2, 3.
The 2 marked cells in column 2 have only 2 candidate digits in total: 2, 3.

Pair · Box

Teaching board · local candidate diagram

Observe candidates

In one region, N cells together contain exactly N candidate digits. Those digits are reserved for those cells.

The 2 marked cells in box 1 have only 2 candidate digits in total: 2, 3.
The 2 marked cells in box 1 have only 2 candidate digits in total: 2, 3.
Verify the condition

Choose cells in one row, column or box and count the union of all their candidates.

The 2 marked cells in box 1 have only 2 candidate digits in total: 2, 3.
The 2 marked cells in box 1 have only 2 candidate digits in total: 2, 3.
Draw the conclusion

The selected cells contain exactly as many distinct candidates as cells: a naked set.

The 2 marked cells in box 1 have only 2 candidate digits in total: 2, 3.
The 2 marked cells in box 1 have only 2 candidate digits in total: 2, 3.

Triple · Row

Teaching board · local candidate diagram

Observe candidates

In one region, N cells together contain exactly N candidate digits. Those digits are reserved for those cells.

The 3 marked cells in row 2 have only 3 candidate digits in total: 2, 3, 4.
The 3 marked cells in row 2 have only 3 candidate digits in total: 2, 3, 4.
Verify the condition

Choose cells in one row, column or box and count the union of all their candidates.

The 3 marked cells in row 2 have only 3 candidate digits in total: 2, 3, 4.
The 3 marked cells in row 2 have only 3 candidate digits in total: 2, 3, 4.
Draw the conclusion

The selected cells contain exactly as many distinct candidates as cells: a naked set.

The 3 marked cells in row 2 have only 3 candidate digits in total: 2, 3, 4.
The 3 marked cells in row 2 have only 3 candidate digits in total: 2, 3, 4.

Triple · Column

Teaching board · local candidate diagram

Observe candidates

In one region, N cells together contain exactly N candidate digits. Those digits are reserved for those cells.

The 3 marked cells in column 2 have only 3 candidate digits in total: 2, 3, 4.
The 3 marked cells in column 2 have only 3 candidate digits in total: 2, 3, 4.
Verify the condition

Choose cells in one row, column or box and count the union of all their candidates.

The 3 marked cells in column 2 have only 3 candidate digits in total: 2, 3, 4.
The 3 marked cells in column 2 have only 3 candidate digits in total: 2, 3, 4.
Draw the conclusion

The selected cells contain exactly as many distinct candidates as cells: a naked set.

The 3 marked cells in column 2 have only 3 candidate digits in total: 2, 3, 4.
The 3 marked cells in column 2 have only 3 candidate digits in total: 2, 3, 4.

Triple · Box

Teaching board · local candidate diagram

Observe candidates

In one region, N cells together contain exactly N candidate digits. Those digits are reserved for those cells.

The 3 marked cells in box 1 have only 3 candidate digits in total: 2, 3, 4.
The 3 marked cells in box 1 have only 3 candidate digits in total: 2, 3, 4.
Verify the condition

Choose cells in one row, column or box and count the union of all their candidates.

The 3 marked cells in box 1 have only 3 candidate digits in total: 2, 3, 4.
The 3 marked cells in box 1 have only 3 candidate digits in total: 2, 3, 4.
Draw the conclusion

The selected cells contain exactly as many distinct candidates as cells: a naked set.

The 3 marked cells in box 1 have only 3 candidate digits in total: 2, 3, 4.
The 3 marked cells in box 1 have only 3 candidate digits in total: 2, 3, 4.

Quad · Row

Teaching board · local candidate diagram

Observe candidates

In one region, N cells together contain exactly N candidate digits. Those digits are reserved for those cells.

The 4 marked cells in row 2 have only 4 candidate digits in total: 2, 3, 4, 5.
The 4 marked cells in row 2 have only 4 candidate digits in total: 2, 3, 4, 5.
Verify the condition

Choose cells in one row, column or box and count the union of all their candidates.

The 4 marked cells in row 2 have only 4 candidate digits in total: 2, 3, 4, 5.
The 4 marked cells in row 2 have only 4 candidate digits in total: 2, 3, 4, 5.
Draw the conclusion

The selected cells contain exactly as many distinct candidates as cells: a naked set.

The 4 marked cells in row 2 have only 4 candidate digits in total: 2, 3, 4, 5.
The 4 marked cells in row 2 have only 4 candidate digits in total: 2, 3, 4, 5.

Quad · Column

Teaching board · local candidate diagram

Observe candidates

In one region, N cells together contain exactly N candidate digits. Those digits are reserved for those cells.

The 4 marked cells in column 2 have only 4 candidate digits in total: 2, 3, 4, 5.
The 4 marked cells in column 2 have only 4 candidate digits in total: 2, 3, 4, 5.
Verify the condition

Choose cells in one row, column or box and count the union of all their candidates.

The 4 marked cells in column 2 have only 4 candidate digits in total: 2, 3, 4, 5.
The 4 marked cells in column 2 have only 4 candidate digits in total: 2, 3, 4, 5.
Draw the conclusion

The selected cells contain exactly as many distinct candidates as cells: a naked set.

The 4 marked cells in column 2 have only 4 candidate digits in total: 2, 3, 4, 5.
The 4 marked cells in column 2 have only 4 candidate digits in total: 2, 3, 4, 5.

Quad · Box

Teaching board · local candidate diagram

Observe candidates

In one region, N cells together contain exactly N candidate digits. Those digits are reserved for those cells.

The 4 marked cells in box 1 have only 4 candidate digits in total: 2, 3, 4, 5.
The 4 marked cells in box 1 have only 4 candidate digits in total: 2, 3, 4, 5.
Verify the condition

Choose cells in one row, column or box and count the union of all their candidates.

The 4 marked cells in box 1 have only 4 candidate digits in total: 2, 3, 4, 5.
The 4 marked cells in box 1 have only 4 candidate digits in total: 2, 3, 4, 5.
Draw the conclusion

The selected cells contain exactly as many distinct candidates as cells: a naked set.

The 4 marked cells in box 1 have only 4 candidate digits in total: 2, 3, 4, 5.
The 4 marked cells in box 1 have only 4 candidate digits in total: 2, 3, 4, 5.

Recognition practice

Teaching board · local candidate diagram

Recognition practice 1

Do the highlighted cells form a naked set in the marked region?

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

Yes

Recognition practice 2

Do the highlighted cells form a naked set in the marked region?

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

No

Recognition practice 3

Do the highlighted cells form a naked set in the marked region?

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

Yes

Recognition practice 4

Do the highlighted cells form a naked set in the marked region?

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

No

Recognition practice 5

Do the highlighted cells form a naked set in the marked region?

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

Yes

Recognition practice 6

Do the highlighted cells form a naked set in the marked region?

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

No

Recognition practice 7

Do the highlighted cells form a naked set in the marked region?

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

Yes

Recognition practice 8

Do the highlighted cells form a naked set in the marked region?

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

No

Recognition practice 9

Do the highlighted cells form a naked set in the marked region?

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

Yes

Recognition practice 10

Do the highlighted cells form a naked set in the marked region?

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

No

Recognition practice 11

Do the highlighted cells form a naked set in the marked region?

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

Yes

Recognition practice 12

Do the highlighted cells form a naked set in the marked region?

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

No

Recognition practice 13

Do the highlighted cells form a naked set in the marked region?

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

Yes

Recognition practice 14

Do the highlighted cells form a naked set in the marked region?

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

No

Recognition practice 15

Do the highlighted cells form a naked set in the marked region?

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

Yes

Recognition practice 16

Do the highlighted cells form a naked set in the marked region?

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

No

Recognition practice 17

Do the highlighted cells form a naked set in the marked region?

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

Yes

Recognition practice 18

Do the highlighted cells form a naked set 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