Naked Quad

Four cells in a row, column, or box contain only four shared digits between them.

New to rows, columns, and 3x3 boxes? Review the Sudoku board basics.

Start with the idea

Start with four cells in the same row, column, or 3x3 box. In this example, four cells in row 3 can only use 1, 3, 5, and 7 between them. Those numbers are reserved for those cells, so other cells in the row cannot use them.

Look for this pattern

Look for a small group of squares in the same row, column, or box. The group can reserve a matching set of numbers.

This empty board keeps the puzzle numbers out of the way so the pattern is easier to see.

Example

5
6
9
1
3
9
1
5
1
4
7
3
7
3
5
8
6
5
7
8
6
3
4
8
1
7
2
6
6
2
8
4
9
8
7
Look here firstLook across row 3. Four cells contain only 1, 3, 5, and 7 between them.

This technique reviews candidates instead of solving a square right away.

Those four numbers must fill those four cells, so remove 1, 3, 5, and 7 from the other cells in the row.

  1. Find four cells in the same row, column, or 3x3 box.
  2. Their notes use only four numbers total.
  3. Remove those numbers from the other cells in that area.
1, 3, 5, and 7 quadquad notes to remove

When to look for it

Use it on crowded Expert boards when pairs and triples almost work but a fourth cell completes the set.

How to use it

  1. Inspect a row, column, or box with several cells full of notes.
  2. Find four cells whose combined notes are exactly four digits.
  3. Remove those digits from all other cells in that row, column, or box.

Common mistakes

  • Quads are easy to misread. Count the combined notes carefully.
  • The four cells must be in the same row, column, or box.

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