Use a middle-row single to separate the ends

Original puzzle gm-5-0009

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-5-0009: 5×5 regional boardBBBAABBBCADDCCCDDDCCEEEEC

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 cats at r4c1 and r3c4 restrict row 2 from different directions. Scan that row before choosing among the top region’s cells; r2c2 is the only surviving position.

5×5 · 2 fixed cats · 3 explained deductions. Region sizes: A: 3 · B: 6 · C: 7 · D: 5 · E: 4.

A deduction worth checking

r2c2 eliminates both r1c2 and r1c3. The top row then resolves at its right edge, while the last row is checked independently.

gm-5-0009: 5×5 regional boardB×BBA×AB×BB×C×A×D×D×C×CC×DD×D×C×C×E×E×EE×C×
Position before step 1. Review the technique.
A move to double-check · r1c3

r1c3 is not in column 2, but it touches r2c2 at a corner. Updating only the placed cat’s row and column would leave a false candidate.

gm-5-0009: 5×5 regional boardB×BBA×AB×BB×C×A×D×D×C×CC×DD×D×C×C×E×E×EE×C×

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.

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

Fixed cats: row 4, column 1; row 3, column 4. 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 2. Every other cell is excluded by earlier placements or deductions. Place the cat here.

gm-5-0009: 5×5 regional boardB×BBA×AB×BB×C×A×D×D×C×CC×DD×D×C×C×E×E×EE×C×Before step 1. Place one cat, then exclude 2 other cells.

2Check row 1

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

gm-5-0009: 5×5 regional boardB×B×B×A×AB×BB×C×A×D×D×C×CC×DD×D×C×C×E×E×EE×C×Before step 2. Place one cat, then exclude 0 other cells.

3Check row 5

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

gm-5-0009: 5×5 regional boardB×B×B×A×AB×BB×C×A×D×D×C×CC×DD×D×C×C×E×E×EE×C×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-5-0009: 5×5 regional boardBBBAABBBCADDCCCDDDCCEEEEC

Cat positions: r1c5, r2c2, r3c4, r4c1, r5c3.

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How this puzzle and its reasoning are verified