GridWits
Hard tier Technique 8 of 20 Used by Smart Hint

Hidden Pair

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

How it works

  1. 1Ask where 1 and 2 can go in this seven-cell row: only the first two cells, for both numbers.
  2. 2Two numbers with only two homes between them must take one each, so neither of those cells can be holding anything else.
  3. 3Strike the 3 from the first cell and the 4 from the second, even though neither cell was ever down to two candidates on its own.
  4. 4The row has to be this long. A hidden pair among b blanks is exactly a naked set on the other b − 2 cells, and the naked rungs run first — so only seven blanks, leaving five over, put the complement out of their reach and make Hidden Pair the name a live hint actually gives.
1 2 3 1 2 4 3 4 5 4 5 6 5 6 7 3 6 7 3 4 7
  • 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 Triple →

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