A wide lower region forces a narrow route upward

Original puzzle gm-5-0032

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-5-0032: 5×5 regional boardBBBAABBBAABBDACEDDDDEEDDD

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 r4c3 occupies D, whose area extends across the bottom. Once that occupied region and the cat’s neighbors are accounted for, row 5 can only use r5c1.

5×5 · 1 fixed cats · 4 explained deductions. Region sizes: A: 5 · B: 8 · C: 1 · D: 8 · E: 3.

A deduction worth checking

The next forced cat, r3c5, removes r2c4 by contact and r2c5 by column. These are separate reasons that converge on the same row.

gm-5-0032: 5×5 regional boardB×BB×AAB×BB×AAB×B×D×A×CE×D×DD×D×EE×D×D×D×
Position before step 2. Review the technique.
A move to double-check · r2c4

The cell r2c4 does not share a row or column with r3c5. Its corner contact is the missing check if it still appears in your notes.

gm-5-0032: 5×5 regional boardB×BB×AAB×BB×AAB×B×D×A×CE×D×DD×D×EE×D×D×D×

Green marks the cell being discussed, not a cat to place. This is the position before step 2; 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.

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

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

Step-by-step walkthrough

1Check row 5

row 5 has only one remaining candidate: row 5, column 1. Every other cell is excluded by earlier placements or deductions. Place the cat here.

gm-5-0032: 5×5 regional boardBBB×AABBB×AABB×D×A×CE×D×DD×D×EE×D×D×D×Before step 1. Place one cat, then exclude 3 other cells.

2Check 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-5-0032: 5×5 regional boardB×BB×AAB×BB×AAB×B×D×A×CE×D×DD×D×EE×D×D×D×Before step 2. Place one cat, then exclude 3 other cells.

3Check 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-5-0032: 5×5 regional boardB×BB×AA×B×BB×A×A×B×B×D×A×CE×D×DD×D×EE×D×D×D×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-5-0032: 5×5 regional boardB×B×B×AA×B×BB×A×A×B×B×D×A×CE×D×DD×D×EE×D×D×D×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-5-0032: 5×5 regional boardBBBAABBBAABBDACEDDDDEEDDD

Cat positions: r1c4, r2c2, r3c5, r4c3, r5c1.

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How this puzzle and its reasoning are verified