A singleton turns a large board into a sequence of singles

Original puzzle gm-8-0003

By GridMew · Published 15 October 2026 · Updated 16 October 2026

8 × 8 intro

Read the starting position, follow the deductions, and check the move that is easy to misread.

Puzzle board · starting state

gm-8-0003: 8×8 regional boardCCBEADDDCCBEEDDDCCCEEEDDCFCEEEEDFFFEEEEEFFFGEEEEFFGGGEEHFFGGGEHH

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 board is 8×8, but its route begins simply: A is the single cell r1c5. Combined with the two givens, its row and neighborhood effects reduce B to r2c3.

8×8 · 2 fixed cats · 6 explained deductions. Region sizes: A: 1 · B: 2 · C: 9 · D: 9 · E: 22 · F: 11 · G: 7 · H: 3.

A deduction worth checking

After B is filled, D resolves at r4c8. That cat clears the rest of row 4 and column 8, allowing the bottom-right H placement.

gm-8-0003: 8×8 regional boardC×C×B×E×AD×D×D×C×C×BE×E×D×D×D×CC×C×E×E×E×D×D×C×F×C×EE×EEDF×F×F×EE×EEEF×FF×G×E×E×E×E×F×F×G×GG×EEHF×F×G×GG×EHH
Position before step 3. Review the technique.
A move to double-check · r5c7

r5c7 is a corner neighbor of r4c8. Large regions can distract from a local exclusion that is just as decisive on a small board.

gm-8-0003: 8×8 regional boardC×C×B×E×AD×D×D×C×C×BE×E×D×D×D×CC×C×E×E×E×D×D×C×F×C×EE×EEDF×F×F×EE×EEEF×FF×G×E×E×E×E×F×F×G×GG×EEHF×F×G×GG×EHH

Green marks the cell being discussed, not a cat to place. This is the position before step 3; 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 C B E A D D D
C C B E E D D D
C C C E E E D D
C F C E E E E D
F F F E E E E E
F F F G E E E E
F F G G G E E H
F F G G G E H H

Fixed cats: row 6, column 2; row 3, column 1. 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 5. Every other cell is excluded by earlier placements or deductions. Place the cat here.

gm-8-0003: 8×8 regional boardC×C×BEADDDC×C×BEEDDDCC×C×E×E×E×D×D×C×F×C×EEEEDF×F×F×EEEEEF×FF×G×E×E×E×E×F×F×G×GGEEHF×F×GGGEHHBefore step 1. Place one cat, then exclude 12 other cells.

2Check region B

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

gm-8-0003: 8×8 regional boardC×C×B×E×AD×D×D×C×C×BE×E×D×DDCC×C×E×E×E×D×D×C×F×C×EE×EEDF×F×F×EE×EEEF×FF×G×E×E×E×E×F×F×G×GG×EEHF×F×GGG×EHHBefore step 2. Place one cat, then exclude 3 other cells.

3Check region D

region D has only one remaining candidate: row 4, column 8. Every other cell is excluded by earlier placements or deductions. Place the cat here.

gm-8-0003: 8×8 regional boardC×C×B×E×AD×D×D×C×C×BE×E×D×D×D×CC×C×E×E×E×D×D×C×F×C×EE×EEDF×F×F×EE×EEEF×FF×G×E×E×E×E×F×F×G×GG×EEHF×F×G×GG×EHHBefore step 3. Place one cat, then exclude 7 other cells.

4Check region H

region H has only one remaining candidate: row 8, column 7. Every other cell is excluded by earlier placements or deductions. Place the cat here.

gm-8-0003: 8×8 regional boardC×C×B×E×AD×D×D×C×C×BE×E×D×D×D×CC×C×E×E×E×D×D×C×F×C×E×E×E×E×DF×F×F×EE×EE×E×F×FF×G×E×E×E×E×F×F×G×GG×EEH×F×F×G×GG×EHH×Before step 4. Place one cat, then exclude 4 other cells.

5Check row 7

row 7 has only one remaining candidate: row 7, column 4. Every other cell is excluded by earlier placements or deductions. Place the cat here.

gm-8-0003: 8×8 regional boardC×C×B×E×AD×D×D×C×C×BE×E×D×D×D×CC×C×E×E×E×D×D×C×F×C×E×E×E×E×DF×F×F×EE×EE×E×F×FF×G×E×E×E×E×F×F×G×GG×E×E×H×F×F×G×G×G×E×HH×Before step 5. Place one cat, then exclude 1 other cells.

6Check row 5

row 5 has only one remaining candidate: row 5, column 6. Every other cell is excluded by earlier placements or deductions. Place the cat here.

gm-8-0003: 8×8 regional boardC×C×B×E×AD×D×D×C×C×BE×E×D×D×D×CC×C×E×E×E×D×D×C×F×C×E×E×E×E×DF×F×F×E×E×EE×E×F×FF×G×E×E×E×E×F×F×G×GG×E×E×H×F×F×G×G×G×E×HH×Before step 6. 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-8-0003: 8×8 regional boardCCBEADDDCCBEEDDDCCCEEEDDCFCEEEEDFFFEEEEEFFFGEEEEFFGGGEEHFFGGGEHH

Cat positions: r1c5, r2c3, r3c1, r4c8, r5c6, r6c2, r7c4, r8c7.

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How this puzzle and its reasoning are verified