Puzzle gm-8-0003

8 × 8 intro

Take this puzzle one clear step at a time.

Try the puzzle yourself, then explore how the deductions build.

Puzzle board · starting state

gm-8-0003: 8×8 regional boardCCBEADDDCCBEEDDDCCCEEEDDCFCEEEEDFFFEEEEEFFFGEEEEFFGGGEEHFFGGGEHH

Your starting point

This original 8×8 board has 8 connected regions and 2 fixed cats. The smallest region is A, with 1 cell. Start by ruling out every other cell in each fixed cat’s row, column and region, plus its immediate neighbors.

The verified route below uses 6 forced placements and 0 candidate-elimination steps after the givens. Region sizes: A: 1 · B: 2 · C: 9 · D: 9 · E: 22 · F: 11 · G: 7 · H: 3. These are observations about this board, not a guarantee that a smaller region always contains the next move.

Read each diagram in sequence. Cats and × marks in the before-state come from earlier deductions. Green outlines identify the current observation. Open the final answer only when you want the spoiler.

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.

Try another puzzle

How this puzzle and its reasoning are verified