Let the fourth row settle the top edge

Original puzzle gm-5-0002

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-5-0002: 5×5 regional boardAAAAABBAACBBDCCEEDCCEEDCC

How to approach this board

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

Two fixed cats near opposite lower corners already occupy columns 5 and 1. Inspect row 4 between them: their neighboring cells remove the apparent space at both ends, leaving a central starting move.

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

A deduction worth checking

After r4c3, row 2 resolves at r2c2. That placement removes r1c2, while column 3 and the fixed column-5 cat already restrict the top row.

gm-5-0002: 5×5 regional boardA×AA×AA×B×BA×A×C×B×B×D×C×CE×E×DC×C×EE×D×C×C×
Position before step 2. Review the technique.
A move to double-check · r1c3

The first new cat at r4c3 excludes r1c3 even though they do not touch. They share column 3. An adjacency-only scan would miss this long-range effect.

gm-5-0002: 5×5 regional boardA×AAAA×B×BAA×C×B×B×D×C×CE×E×DC×C×EE×D×C×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.

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

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

gm-5-0002: 5×5 regional boardA×AAAA×B×BAA×C×B×B×D×C×CE×E×DC×C×EE×D×C×C×Before step 1. Place one cat, then exclude 2 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-5-0002: 5×5 regional boardA×AA×AA×B×BA×A×C×B×B×D×C×CE×E×DC×C×EE×D×C×C×Before step 2. Place one cat, then exclude 1 other cells.

3Check 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-5-0002: 5×5 regional boardA×A×A×AA×B×BA×A×C×B×B×D×C×CE×E×DC×C×EE×D×C×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-5-0002: 5×5 regional boardAAAAABBAACBBDCCEEDCCEEDCC

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

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How this puzzle and its reasoning are verified