The rules, one cat at a time

Learn the row, column, region and no-touch rules, and make your first moves.

On this pageFour checks for every catUse the two tools deliberatelyFinish without guessingApply the ideaOriginal exampleCheck your understanding

Original GridMew lesson · Updated 16 October 2026

Learning goal: Check a proposed cat against all four constraints, rather than accepting a cell because its color looks available.

Four checks for every cat

Fill an n×n board with exactly n cats. Each horizontal row needs one cat, each vertical column needs one cat, and each connected, lettered region needs one cat. A cell belongs to all three groups at once. A placement must satisfy all three quotas, not just the region color.

Cats also cannot touch along an edge or at a corner. The eight cells immediately surrounding a cat are unavailable. A cat farther away on the same diagonal is allowed: this is not the classic eight-queens diagonal rule.

Use the two tools deliberately

Choose Place cat, then click or tap a cell once. Choose Mark × to leave a note that the cell is excluded. Use the same tool on the same cell again to remove that mark. A fixed cat has a small dot and cannot be removed. Use Undo to reverse an ordinary move.

Start with the fixed cats and mark the cells they rule out. Look for a row, column or region that has only one candidate left. The board below is an original GridMew puzzle, not a screenshot from another game. Its worked step names actual coordinates so you can check the reasoning.

Finish without guessing

A conflict message explains a direct row, column, region or touching error. Having no direct conflict does not prove that a guessed placement can lead to a solution. If you are stuck, ask for a hint: first find where to look, then read the explanation, and only apply it when ready.

A win is recorded only when the board itself satisfies all four rules. Your progress and hint use are stored in this browser. Size describes the number of cells; it does not determine difficulty.

Apply the idea to gm-5-0004

r2c3 means row 2, column 3, counting from the top left.

Use gm-5-0004 to make the checks concrete. The fixed cats occupy r1c3, r2c1 and r3c4. That completes rows 1–3 and columns 3, 1 and 4. In row 4, the unused columns alone are not enough: check the occupied regions and the neighbors of r3c4 as well.

The remaining cell is r4c2. Once you place it, update the whole of column 2 before looking at row 5. A single placement has several consequences; counting cats only inside colored regions misses some of them.

A real step from gm-5-0004

gm-5-0004: 5×5 regional boardB×A×AC×C×BA×A×C×C×B×B×C×CC×D×DC×C×E×D×DD×E×E
Before deduction 1

row 4 has only one remaining candidate: row 4, column 2. Every other cell is excluded by earlier placements or deductions. Place the cat here.

Read the preceding steps and continue this puzzle →

Check your understanding

Could you place the next cat at r4c3 because it is below the three completed rows?

Show the explanation

No. Column 3 already contains the fixed cat at r1c3, and r4c3 also touches r3c4. A different row does not undo either conflict.

Continue with a purpose