Read the bottom-left region through the fixed column

Original puzzle gm-5-0016

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-5-0016: 5×5 regional boardAAAABAAABBCCCDBECCDBEDDDD

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 given at r3c2 touches r4c1, one of region E’s two bottom-left cells. E is forced at r5c1, and that placement clears much of the bottom row while reaching the top of column 1.

5×5 · 1 fixed cats · 4 explained deductions. Region sizes: A: 7 · B: 5 · C: 5 · D: 6 · E: 2.

A deduction worth checking

Column 3 resolves at r1c3 after E is filled. Its contact with row 2 removes r2c4 and leaves the later right-edge placement.

gm-5-0016: 5×5 regional boardA×A×AABA×A×A×BBC×CC×D×B×E×C×C×DBED×D×D×D×
Position before step 2. Review the technique.
A move to double-check · r2c4

r2c4 is a corner neighbor of r1c3. The exclusion is local even though the earlier deduction that enabled it came from the far bottom-left.

gm-5-0016: 5×5 regional boardA×A×AABA×A×A×BBC×CC×D×B×E×C×C×DBED×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.

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

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

Step-by-step walkthrough

1Check region E

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

gm-5-0016: 5×5 regional boardAA×AABA×A×A×BBC×CC×D×B×E×C×C×DBED×DDDBefore step 1. Place one cat, then exclude 4 other cells.

2Check column 3

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

gm-5-0016: 5×5 regional boardA×A×AABA×A×A×BBC×CC×D×B×E×C×C×DBED×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 5. Every other cell is excluded by earlier placements or deductions. Place the cat here.

gm-5-0016: 5×5 regional boardA×A×AA×B×A×A×A×B×BC×CC×D×B×E×C×C×DBED×D×D×D×Before step 3. Place one cat, then exclude 1 other cells.

4Check row 4

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

gm-5-0016: 5×5 regional boardA×A×AA×B×A×A×A×B×BC×CC×D×B×E×C×C×DB×ED×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-5-0016: 5×5 regional boardAAAABAAABBCCCDBECCDBEDDDD

Cat positions: r1c3, r2c5, r3c2, r4c4, r5c1.

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How this puzzle and its reasoning are verified