Follow a forced cat up the left column

Original puzzle gm-5-0045

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

5 × 5 practice

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

Puzzle board · starting state

gm-5-0045: 5×5 regional boardDBBAADBBEEDBBECDBEEEDEEEE

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 fixed cat at r5c3 fills E. Inspect row 4 after removing that region and the given’s neighbors: only the leftmost cell survives. Its effect is much wider than the neighboring square.

5×5 · 1 fixed cats · 4 explained deductions. Region sizes: A: 2 · B: 7 · C: 1 · D: 5 · E: 10.

A deduction worth checking

After row 2 resolves at r2c2, row 3 is forced at r3c5. That placement removes the remaining top-right column candidate.

gm-5-0045: 5×5 regional boardD×B×B×AAD×BB×E×E×D×B×B×E×CDB×E×E×E×D×E×EE×E×
Position before step 3. Review the technique.
A move to double-check · r1c1

r1c1 must be crossed out when r4c1 is placed. They do not touch, but they cannot both occupy column 1.

gm-5-0045: 5×5 regional boardDBB×AADBB×E×E×DBB×E×CDB×E×E×E×D×E×EE×E×

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.

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

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

Step-by-step walkthrough

1Check row 4

row 4 has only one remaining candidate: row 4, column 1. Every other cell is excluded by earlier placements or deductions. Place the cat here.

gm-5-0045: 5×5 regional boardDBB×AADBB×E×E×DBB×E×CDB×E×E×E×D×E×EE×E×Before step 1. Place one cat, then exclude 4 other cells.

2Check row 2

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

gm-5-0045: 5×5 regional boardD×BB×AAD×BB×E×E×D×B×B×E×CDB×E×E×E×D×E×EE×E×Before step 2. Place one cat, then exclude 1 other cells.

3Check row 3

row 3 has only one remaining candidate: row 3, column 5. Every other cell is excluded by earlier placements or deductions. Place the cat here.

gm-5-0045: 5×5 regional boardD×B×B×AAD×BB×E×E×D×B×B×E×CDB×E×E×E×D×E×EE×E×Before step 3. Place one cat, then exclude 1 other cells.

4Check row 1

row 1 has only one remaining candidate: row 1, column 4. Every other cell is excluded by earlier placements or deductions. Place the cat here.

gm-5-0045: 5×5 regional boardD×B×B×AA×D×BB×E×E×D×B×B×E×CDB×E×E×E×D×E×EE×E×Before step 4. 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-5-0045: 5×5 regional boardDBBAADBBEEDBBECDBEEEDEEEE

Cat positions: r1c4, r2c2, r3c5, r4c1, r5c3.

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How this puzzle and its reasoning are verified