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Hitori Repeats: Shade a Kept Number's Twins

The repeats technique says: once a number is sure to stay unshaded, every other copy of it in its row and column is shaded. No number may appear twice among a line’s unshaded squares.

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This is the second of the Hitori techniques.

The rule

  1. Take a circled number: one you know stays unshaded.
  2. Look along its row and down its column for the same number.
  3. Shade every copy you find.
Repeats: a kept number's twins are shaded A 3 by 3 grid with the 2 in the top-left corner circled. The other 2 in its row and the other 2 in its column must be shaded. 2 1 2 3 2 1 2 3 1
The circled 2: the other 2 in its row and in its column are shaded.

In a real puzzle

On the 9×9 every technique page follows, it’s the second move. The sandwich has just circled the 7 in row 1, column 2, and row 1 has another 7, in column 5. Shade it.

Step 2: repeats Hard level 5 at step 2, 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 2: the circled 7 shades the other 7 in row 1.

How often you’ll need it

All the time: every one of the game’s levels uses it, about 6 times on Easy, 11 on Medium and 19 on Hard. On the 9×9 here it’s 18 of the 55 moves. It’s half of the chain that solves most of every puzzle; the other half is shaded neighbours.

Next steps

Questions

What if the twin is next to a shaded square?

Then something’s gone wrong earlier: shading the twin would put two shaded squares side by side. Undo back to your last sure move.