Three givens leave two independent row checks

Original puzzle gm-5-0013

By GridMew · Published 15 October 2026 · Updated 16 October 2026

5 × 5 intro

Read the starting position, follow the deductions, and check the move that is easy to misread.

Puzzle board · starting state

gm-5-0013: 5×5 regional boardBAAACBBACCBDDCCBDEECBDEEE

How to approach this board

Coordinates such as r2c3 mean row 2, column 3. Count rows from the top and columns from the left.

Rows 1, 4 and 5 are already complete. Rather than recounting every colored area first, inspect rows 2 and 3 against the occupied columns and the given cats’ immediate neighborhoods.

5×5 · 3 fixed cats · 2 explained deductions. Region sizes: A: 4 · B: 6 · C: 6 · D: 4 · E: 5.

A deduction worth checking

Row 2 forces r2c1; row 3 then supplies r3c4. The final check is that each uses a different region as well as a different row and column.

gm-5-0013: 5×5 regional boardB×A×AA×C×BB×A×C×C×B×D×D×CC×B×DE×E×C×B×D×E×E×E
Position before step 1. Review the technique.
A move to double-check · r2c2

r2c2 touches the given at r1c3. It is unavailable before any new placement, so this board does not begin with a choice between columns 1 and 2.

gm-5-0013: 5×5 regional boardB×A×AA×C×BB×A×C×C×B×D×D×CC×B×DE×E×C×B×D×E×E×E

Green marks the cell being discussed, not a cat to place. This is the starting position after accounting for the fixed cats.

Read the starting board as text

Each line is one row, left to right. Matching letters belong to the same connected region.

B A A A C
B B A C C
B D D C C
B D E E C
B D E E E

Fixed cats: row 4, column 2; row 1, column 3; row 5, column 5. One cat is required in each row, column and region.

Step-by-step walkthrough

1Check row 2

row 2 has only one remaining candidate: row 2, column 1. Every other cell is excluded by earlier placements or deductions. Place the cat here.

gm-5-0013: 5×5 regional boardB×A×AA×C×BB×A×C×C×B×D×D×CC×B×DE×E×C×B×D×E×E×EBefore step 1. Place one cat, then exclude 0 other cells.

2Check row 3

row 3 has only one remaining candidate: row 3, column 4. Every other cell is excluded by earlier placements or deductions. Place the cat here.

gm-5-0013: 5×5 regional boardB×A×AA×C×BB×A×C×C×B×D×D×CC×B×DE×E×C×B×D×E×E×EBefore step 2. Place one cat, then exclude 0 other cells.
Show solution · reveals all cat positions

The final cats satisfy every row, column and region quota, with no edge or corner contact.

gm-5-0013: 5×5 regional boardBAAACBBACCBDDCCBDEECBDEEE

Cat positions: r1c3, r2c1, r3c4, r4c2, r5c5.

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How this puzzle and its reasoning are verified