Check the unused columns against the remaining rows

Original puzzle gm-5-0006

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-5-0006: 5×5 regional boardBBAAABBACCDDCCCDDDCCDDDEE

How to approach this board

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

Three givens occupy rows 2, 3 and 5, with cats in columns 1, 5 and 4. Only rows 1 and 4 remain. The top row is a useful place to combine column quotas with the given cats’ neighborhoods.

5×5 · 3 fixed cats · 2 explained deductions. Region sizes: A: 4 · B: 4 · C: 7 · D: 8 · E: 2.

A deduction worth checking

The first deduction places r1c3. The only other missing cat then belongs at r4c2; this is a short quota finish rather than a candidate-lock exercise.

gm-5-0006: 5×5 regional boardB×B×AA×A×BB×A×C×C×D×D×C×C×CD×DD×C×C×D×D×D×EE×
Position before step 1. Review the technique.
A move to double-check · r1c2

At the starting position, r1c2 touches the fixed cat at r2c1. A different region label cannot make that corner contact legal.

gm-5-0006: 5×5 regional boardB×B×AA×A×BB×A×C×C×D×D×C×C×CD×DD×C×C×D×D×D×EE×

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

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

Step-by-step walkthrough

1Check row 1

row 1 has only one remaining candidate: row 1, column 3. Every other cell is excluded by earlier placements or deductions. Place the cat here.

gm-5-0006: 5×5 regional boardB×B×AA×A×BB×A×C×C×D×D×C×C×CD×DD×C×C×D×D×D×EE×Before step 1. Place one cat, then exclude 0 other cells.

2Check row 4

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.

gm-5-0006: 5×5 regional boardB×B×AA×A×BB×A×C×C×D×D×C×C×CD×DD×C×C×D×D×D×EE×Before 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-5-0006: 5×5 regional boardBBAAABBACCDDCCCDDDCCDDDEE

Cat positions: r1c3, r2c1, r3c5, r4c2, r5c4.

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How this puzzle and its reasoning are verified