A short finish between three fixed cats

Original puzzle gm-5-0004

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-5-0004: 5×5 regional boardBAACCBAACCBBCCCDDCCEDDDEE

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 cats at r1c3, r2c1 and r3c4 have already filled three rows, columns and regions. Focus on the two remaining rows instead of trying to reopen a region that already contains its fixed cat.

5×5 · 3 fixed cats · 2 explained deductions. Region sizes: A: 4 · B: 4 · C: 9 · D: 5 · E: 3.

A deduction worth checking

Row 4 has only r4c2. Placing it occupies column 2 and leaves the final bottom-row cat at r5c5.

gm-5-0004: 5×5 regional boardB×A×AC×C×BA×A×C×C×B×B×C×CC×D×DC×C×E×D×DD×E×E
Position before step 1. Review the technique.
A move to double-check · r5c2

r5c2 is not rescued by belonging to a different region. The new cat at r4c2 rules it out through their shared column, as well as their immediate contact.

gm-5-0004: 5×5 regional boardB×A×AC×C×BA×A×C×C×B×B×C×CC×D×DC×C×E×D×DD×E×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.

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

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

gm-5-0004: 5×5 regional boardB×A×AC×C×BA×A×C×C×B×B×C×CC×D×DC×C×E×D×DD×E×EBefore step 1. Place one cat, then exclude 1 other cells.

2Check row 5

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

gm-5-0004: 5×5 regional boardB×A×AC×C×BA×A×C×C×B×B×C×CC×D×DC×C×E×D×D×D×E×EBefore step 2. 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-5-0004: 5×5 regional boardBAACCBAACCBBCCCDDCCEDDDEE

Cat positions: r1c3, r2c1, r3c4, r4c2, r5c5.

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How this puzzle and its reasoning are verified