The bottom-left pair is not an equal choice

Original puzzle gm-5-0008

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-5-0008: 5×5 regional boardCAADBCAADBCCCDDECDDDECDDD

How to approach this board

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

Region E contains r4c1 and r5c1. The fixed cat in row 4 rules out the upper cell, forcing the lower one. This is a quota argument about the whole row, not a preference for the board edge.

5×5 · 1 fixed cats · 4 explained deductions. Region sizes: A: 4 · B: 2 · C: 7 · D: 10 · E: 2.

A deduction worth checking

The E cat removes column 1 from the rest of the board. Combined with the r4c4 given, that leaves r3c2 as row 3’s only candidate.

gm-5-0008: 5×5 regional boardC×AAD×BC×AAD×BC×CC×D×D×E×C×D×DD×EC×D×D×D×
Position before step 2. Review the technique.
A move to double-check · r3c1

r3c1 is far enough from r5c1 to pass the touching test, but it shares column 1. All four placement checks still apply.

gm-5-0008: 5×5 regional boardCAAD×BCAAD×BCCC×D×D×E×C×D×DD×ECD×D×D×

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.

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

Fixed cats: row 4, column 4. 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-5-0008: 5×5 regional boardCAAD×BCAAD×BCCC×D×D×E×C×D×DD×ECD×D×D×Before step 1. Place one cat, then exclude 4 other cells.

2Check row 3

row 3 has only one remaining candidate: row 3, column 2. Every other cell is excluded by earlier placements or deductions. Place the cat here.

gm-5-0008: 5×5 regional boardC×AAD×BC×AAD×BC×CC×D×D×E×C×D×DD×EC×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-5-0008: 5×5 regional boardC×A×AD×BC×A×A×D×BC×CC×D×D×E×C×D×DD×EC×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 3. Every other cell is excluded by earlier placements or deductions. Place the cat here.

gm-5-0008: 5×5 regional boardC×A×AD×B×C×A×A×D×BC×CC×D×D×E×C×D×DD×EC×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-5-0008: 5×5 regional boardCAADBCAADBCCCDDECDDDECDDD

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

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How this puzzle and its reasoning are verified