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ENVI

Hidden Pair

2-step reasoningDifficulty

Two digits can only go in the same two cells of a unit, so every other candidate is cleared from those cells.

Rule

In a unit, x and y appear only in cells A and B → A and B keep only {x, y}.

112233445566778899257825769573146412837959579357174157826456934581936214697581692587426956932472348536191246946928856479279473147247316589319475824674627

Find two digits with only two places

In box 4, digit 3 can only go in r4c3 and r6c3; digit 8 can only go in those same two cells.

The idea

A hidden pair is seen from the digits' side rather than the cells'. If in a column the 2 can only go in cells A and B, and the 6 can only go in those same two cells, then A and B must be 2 and 6 in some order.

Both cells are taken by 2 and 6, so every other candidate in A and B goes. It is called hidden because the extra candidates hide it; once they are cleared, the hidden pair becomes a naked pair.

How to spot it

  • For each unit, count how many places each digit has left. Two digits that each have exactly two places, and the same two, form a hidden pair.
  • They show up in units with many empty cells, where naked pairs are rare.

Common mistakes

  • Both digits must have exactly two places, and the same ones; a digit with three places does not qualify.

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Related techniques

References

The examples on this page are generated from random puzzles, not taken from these sources.