Resolve the outside rows before the top centre

Original puzzle gm-5-0010

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-5-0010: 5×5 regional boardAAAAAACAABCCDAAEEDDAEEEDD

How to approach this board

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

Rows 3 and 4 already have their cats. Row 2 can be settled at the right edge, then row 5 at the left. Their column effects resolve the broad top region without guessing inside it.

5×5 · 2 fixed cats · 3 explained deductions. Region sizes: A: 11 · B: 1 · C: 3 · D: 5 · E: 5.

A deduction worth checking

The bottom-row placement at r5c1 reaches up column 1 and removes r1c1. Together with the earlier r2c5 cat, it narrows the top row to r1c3.

gm-5-0010: 5×5 regional boardAA×AA×A×A×C×A×A×BC×CD×A×A×E×E×D×DA×EE×E×D×D×
Position before step 2. Review the technique.
A move to double-check · r1c1

The empty distance between r5c1 and r1c1 is irrelevant to the column quota. A cat blocks its whole column, not only the cells beside it.

gm-5-0010: 5×5 regional boardAA×AA×A×A×C×A×A×BC×CD×A×A×E×E×D×DA×EE×E×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 A
A C A A B
C C D A A
E E D D A
E E E D D

Fixed cats: row 4, column 4; row 3, column 2. 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 5. Every other cell is excluded by earlier placements or deductions. Place the cat here.

gm-5-0010: 5×5 regional boardAA×AA×AA×C×A×A×BC×CD×A×A×E×E×D×DA×EE×E×D×D×Before step 1. Place one cat, then exclude 1 other cells.

2Check row 5

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

gm-5-0010: 5×5 regional boardAA×AA×A×A×C×A×A×BC×CD×A×A×E×E×D×DA×EE×E×D×D×Before step 2. Place one cat, then exclude 1 other cells.

3Check 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-5-0010: 5×5 regional boardA×A×AA×A×A×C×A×A×BC×CD×A×A×E×E×D×DA×EE×E×D×D×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-5-0010: 5×5 regional boardAAAAAACAABCCDAAEEDDAEEEDD

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

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How this puzzle and its reasoning are verified