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Hitori · strategies

Shade with certainty.

Shade duplicates so no number repeats in a row or column — shaded cells never touch, and the white cells stay connected. These patterns find the forced moves.

01

Sandwiched triple

Three of the same number in a row: the middle one stays white. Shading it would force both outer copies white — two duplicates. Shade the outer two.

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Three equal numbers in a line: shade the outer two (green rings), keep the middle white.
02

Pair split by one

Two copies with one cell between (3 · 3): the middle cell is white in every solution — whichever copy survives, the middle can never be shaded next to both. Mark it white and move on.

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Two 3's split by one cell: the cell between them (green) is white in every solution.
03

No adjacent shades

A shaded cell’s four neighbors are white. Every shade you place whitens its neighborhood — and any duplicate among those fresh whites must have its twin shaded. Chains of forced moves start here.

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One shaded cell forces its four orthogonal neighbors (green) to stay white.
04

Connectivity (don't cut the board)

All white cells must stay connected. A shade that would fence off a corner or split the grid is illegal — so that cell is white. Watch borders and diagonals of existing shades: diagonal shade chains reaching both edges cut the board.

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Shading the green cell would seal off the top-left corner from the rest — so it must stay white.
05

Order of attack

Triples and split pairs first (they’re free), then propagate around every shade you place, then connectivity checks near the edges to finish.


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Hitori strategies · MindYourPuzzle