Clear the bottom row, then work upward

Original puzzle gm-5-0029

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-5-0029: 5×5 regional boardAAAACABADCEEDDCEEDDCEDDDD

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 r4c3 given fills region D and removes its surrounding cells. Row 5 has only r5c1 left. Trace how this one placement changes the rows above rather than choosing inside the large top region.

5×5 · 1 fixed cats · 4 explained deductions. Region sizes: A: 6 · B: 1 · C: 4 · D: 9 · E: 5.

A deduction worth checking

After the column-1 exclusion, row 3 resolves at r3c5. Its column effect removes two upper-right candidates, preparing row 2.

gm-5-0029: 5×5 regional boardA×AA×ACA×BA×D×CE×E×D×D×CE×E×DD×C×ED×D×D×D×
Position before step 2. Review the technique.
A move to double-check · r2c5

r2c5 is excluded by the new column-5 cat even though it is in a different region. Region borders do not stop row or column constraints.

gm-5-0029: 5×5 regional boardA×AA×ACA×BA×D×CE×E×D×D×CE×E×DD×C×ED×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 C
A B A D C
E E D D C
E E D D C
E D D D D

Fixed cats: row 4, column 3. One cat is required in each row, column and region.

Step-by-step walkthrough

1Check 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-5-0029: 5×5 regional boardAAA×ACABA×D×CEE×D×D×CE×E×DD×C×ED×D×D×D×Before step 1. Place one cat, then exclude 3 other cells.

2Check row 3

row 3 has only one remaining candidate: row 3, column 5. Every other cell is excluded by earlier placements or deductions. Place the cat here.

gm-5-0029: 5×5 regional boardA×AA×ACA×BA×D×CE×E×D×D×CE×E×DD×C×ED×D×D×D×Before step 2. Place one cat, then exclude 2 other cells.

3Check 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-5-0029: 5×5 regional boardA×AA×AC×A×BA×D×C×E×E×D×D×CE×E×DD×C×ED×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 4. Every other cell is excluded by earlier placements or deductions. Place the cat here.

gm-5-0029: 5×5 regional boardA×A×A×AC×A×BA×D×C×E×E×D×D×CE×E×DD×C×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-5-0029: 5×5 regional boardAAAACABADCEEDDCEEDDCEDDDD

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

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How this puzzle and its reasoning are verified