GridWits
Medium tier Technique 7 of 20 Used by Smart Hint

Naked Quad

Four cells in a row or column whose candidates combine to exactly four values — eliminate those values elsewhere in the line.

How it works

  1. 1The first four cells of this 6-cell row use candidates drawn entirely from {1, 2, 3, 4}.
  2. 2Those four values must fill those four cells. A Naked Quad does not require every cell to show all four candidates — only their combined set matters.
  3. 3So neither of the last two cells can be 1, 2, 3 or 4. Strike those, and both are left holding 5 or 6.
  4. 4Two spare cells rather than one is what keeps this a quad: with a single cell left over it would be solved outright, and asking where the 5 goes would have found it first.
1 2 2 3 3 4 1 4 1 2 5 6 3 4 5 6
  • Candidates this technique rules out
  • Cells read together — The connecting line shows which cells combine to make the deduction.
  • Conclusion — The coloured candidate, or the final arrow when it lands outside the pattern, shows the result.
Next in the ladder Hidden Pair →

Two values only fit in the same two cells of a row or column — strip those cells down to just those two.