One right-edge cat completes two distant constraints

Original puzzle gm-5-0011

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-5-0011: 5×5 regional boardAAABBAAABBCCCBBDDCEEDDEEE

How to approach this board

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

The givens at r3c3 and r4c1 make row 2 the useful starting line. Its remaining cell, r2c5, affects both the top row and the bottom-right part of the board.

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

A deduction worth checking

Placing r2c5 removes r1c4 by touching and r5c5 by column. Those two different effects explain why both ends of the puzzle tighten at once.

gm-5-0011: 5×5 regional boardA×AA×BBA×A×A×B×BC×C×CB×B×DD×C×E×E×D×D×E×EE
Position before step 1. Review the technique.
A move to double-check · r5c5

Do not retain r5c5 because it is several rows away. It competes with r2c5 for the same column’s single cat.

gm-5-0011: 5×5 regional boardA×AA×BBA×A×A×B×BC×C×CB×B×DD×C×E×E×D×D×E×EE

Green marks the cell being discussed, not a cat to place. This is the position before step 1; compare the deduction below.

Read the starting board as text

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

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

Fixed cats: row 3, column 3; row 4, column 1. 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 5. Every other cell is excluded by earlier placements or deductions. Place the cat here.

gm-5-0011: 5×5 regional boardA×AA×BBA×A×A×B×BC×C×CB×B×DD×C×E×E×D×D×E×EEBefore step 1. Place one cat, then exclude 3 other cells.

2Check row 1

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

gm-5-0011: 5×5 regional boardA×AA×B×B×A×A×A×B×BC×C×CB×B×DD×C×E×E×D×D×E×EE×Before step 2. Place one cat, then exclude 0 other cells.

3Check row 5

row 5 has only one remaining candidate: row 5, column 4. Every other cell is excluded by earlier placements or deductions. Place the cat here.

gm-5-0011: 5×5 regional boardA×AA×B×B×A×A×A×B×BC×C×CB×B×DD×C×E×E×D×D×E×EE×Before step 3. 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-5-0011: 5×5 regional boardAAABBAAABBCCCBBDDCEEDDEEE

Cat positions: r1c2, r2c5, r3c3, r4c1, r5c4.

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How this puzzle and its reasoning are verified