A singleton starts the board, a row scan carries it

Original puzzle gm-5-0034

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-5-0034: 5×5 regional boardABBBBBBBBCDDCCCDDCECDDEEE

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 A forces the top-left cat. The existing cat at r5c4 is far enough away not to touch it. Keep the full row, column and region checks separate from that adjacency observation.

5×5 · 1 fixed cats · 4 explained deductions. Region sizes: A: 1 · B: 8 · C: 6 · D: 6 · E: 4.

A deduction worth checking

Row 4 then resolves at r4c2. Its neighborhood removes r3c3, allowing row 3 to use its rightmost remaining cell.

gm-5-0034: 5×5 regional boardAB×B×B×B×B×B×BB×CD×DCC×CD×DC×E×C×D×D×E×EE×
Position before step 2. Review the technique.
A move to double-check · r3c3

r3c3 lies in C, not the newly filled D, but still touches r4c2. A region-only update would miss why this candidate disappears.

gm-5-0034: 5×5 regional boardAB×B×B×B×B×B×BB×CD×DCC×CD×DC×E×C×D×D×E×EE×

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

Fixed cats: row 5, column 4. One cat is required in each row, column and region.

Step-by-step walkthrough

1Check region A

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

gm-5-0034: 5×5 regional boardABBB×BBBBB×CDDCC×CDDC×E×C×D×D×E×EE×Before step 1. Place one cat, then exclude 7 other cells.

2Check 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-5-0034: 5×5 regional boardAB×B×B×B×B×B×BB×CD×DCC×CD×DC×E×C×D×D×E×EE×Before step 2. Place one cat, then exclude 2 other cells.

3Check 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-5-0034: 5×5 regional boardAB×B×B×B×B×B×BB×CD×D×C×C×CD×DC×E×C×D×D×E×EE×Before step 3. Place one cat, then exclude 1 other cells.

4Check row 2

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

gm-5-0034: 5×5 regional boardAB×B×B×B×B×B×BB×C×D×D×C×C×CD×DC×E×C×D×D×E×EE×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-5-0034: 5×5 regional boardABBBBBBBBCDDCCCDDCECDDEEE

Cat positions: r1c1, r2c3, r3c5, r4c2, r5c4.

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How this puzzle and its reasoning are verified