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Hitori Pairs: Two Alike Side by Side

The pairs technique says: when two of the same number sit side by side, one of them stays unshaded (they can’t both be shaded, since they’d touch). So any third copy of that number in the same line is shaded.

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This is the fourth of the Hitori techniques.

The rule

  1. Find two of the same number side by side in a row or column.
  2. Look for a third copy elsewhere in that same row or column.
  3. Shade it.
Pairs: two alike side by side shade the third A 4 by 4 grid whose top row is 5 5 1 5. One of the two 5s side by side must stay unshaded, so the third 5 in the row is shaded. 5 5 1 5 1 2 3 4 2 3 4 1 3 4 2 1
5 5 1 5: one of the side-by-side 5s stays, so the third 5 is shaded.

In a real puzzle

On the 9×9 every technique page follows, it’s first needed at step 24. Column 3 has two 2s side by side, in rows 6 and 7, and a third 2 at the bottom, in row 9. That one is shaded.

Step 24: pairs Hard level 5 at step 24, with the squares this step reasons from and settles highlighted. 6 7 6 1 7 2 8 1 4 6 3 8 2 5 4 8 8 7 5 1 8 6 7 5 4 2 1 8 4 9 5 3 5 7 2 1 7 6 3 8 3 9 5 1 5 7 4 2 6 8 1 3 7 9 1 1 2 4 2 7 2 9 3 4 5 7 3 2 5 1 9 9 7 9 2 7 3 3 6 5 8 1 2 3 4 5 6 7 8 9 1 2 3 4 5 6 7 8 9
Step 24: the 2s side by side in column 3 shade the third 2.

How often you’ll need it

Rarely as the move to make: on 9 of the 50 Easy levels, 12 Medium and 14 Hard, usually once. Often a sandwich or the chain gets there first. But when nothing else is moving, a pair with a third copy is quick to spot. On the 9×9 here it’s 2 of the 55 moves.

Next steps

Questions

Which of the pair stays unshaded?

You can’t tell from the pair alone. What you know is that one of them stays, so a third copy in the same line has to go.