Hidden Quad

Four digits confined to the same four cells of a house, clearing all other candidates.

Overview

Tier 3
Subsets
Typical difficulty
Peak Score 55–70
Also known as
Concealed Quad

When four digits appear only within four cells of a house, those cells are locked for those four digits. All other candidates in those cells are eliminated.

Hidden Quads are the hidden counterpart to Naked Quads. They occur when four digits are restricted to four cells within a house. Because finding a Hidden Quad in a house with six empty cells is the exact mirror of finding a Naked Pair in the other two cells, skilled solvers often look for the smaller pair instead.

Worked examples

1 / 5
Reading the exampleCells losing candidatesEliminated candidates
In the center box, the digits 5, 6, 8 and 9 can only go in R4C4, R4C6, R5C4 and R5C6. Those four cells must take those four digits, so every other candidate can be removed from them.
Removes: 1 from R4C4, R5C4 · 3 from R4C6 · 4 from R5C4, R5C6 · 7 from R5C6

How to apply it

Spotting the pattern and making the deduction, in order.

  1. Identify four digits that appear only within four specific cells of a row, column, or box.
  2. Ensure that none of those four digits appear in any other cell of that unit.
  3. Those four numbers must fill those four designated cells.
  4. Erase all other candidate notes from those four cells.

Common mistakes

  • Spending too much time hunting for hidden quads when checking the remaining cells for a naked pair is much quicker.
  • Failing to verify that none of the four digits leak into a fifth cell.

Frequently asked questions

Is it better to look for Hidden Quads or Naked Pairs?
In a house with 6 empty cells, a Hidden Quad and a Naked Pair are two sides of the same coin. Looking for the 2-cell Naked Pair is almost always faster and less error-prone.

Put Hidden Quad into practice

Try a puzzle from the Hard tier (Peak Score 51–60).