Puzzle gm-8-0004

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-8-0004: 8×8 regional boardAACCCCCCEECCCCDBEECCCDDBEEECCDDDEEECFDDDGGEFFDDDGGGFFHHDGGGFFHHD

Your starting point

This original 8×8 board has 8 connected regions and 2 fixed cats. The smallest region is A, with 2 cells. 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: 2 · B: 2 · C: 16 · D: 14 · E: 11 · F: 7 · G: 8 · H: 4. 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 1. Every other cell is excluded by earlier placements or deductions. Place the cat here.

gm-8-0004: 8×8 regional boardAA×CCCCC×CEE×CCCCD×BEE×CCCD×D×B×E×E×E×C×C×D×DD×EE×ECFD×D×D×G×G×E×FFD×D×D×G×GG×F×F×H×H×D×G×G×G×FFHH×D×Before step 1. Place one cat, then exclude 8 other cells.

2Check column 8

column 8 has only one remaining candidate: row 2, column 8. Every other cell is excluded by earlier placements or deductions. Place the cat here.

gm-8-0004: 8×8 regional boardAA×C×C×C×C×C×C×E×E×CCCCD×BE×E×CCCD×D×B×E×E×E×C×C×D×DD×E×E×ECFD×D×D×G×G×E×FFD×D×D×G×GG×F×F×H×H×D×G×G×G×FFHH×D×Before step 2. Place one cat, then exclude 4 other cells.

3Check column 6

column 6 has only one remaining candidate: row 8, column 6. Every other cell is excluded by earlier placements or deductions. Place the cat here.

gm-8-0004: 8×8 regional boardAA×C×C×C×C×C×C×E×E×C×C×C×C×D×BE×E×CCCD×D×B×E×E×E×C×C×D×DD×E×E×ECFD×D×D×G×G×E×FFD×D×D×G×GG×F×F×H×H×D×G×G×G×FFHH×D×Before step 3. Place one cat, then exclude 2 other cells.

4Check region E

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

gm-8-0004: 8×8 regional boardAA×C×C×C×C×C×C×E×E×C×C×C×C×D×BE×E×CCCD×D×B×E×E×E×C×C×D×DD×E×E×ECFD×D×D×G×G×E×FFD×D×D×G×GG×F×F×H×H×D×G×G×G×F×F×HH×D×Before step 4. Place one cat, then exclude 4 other cells.

5Check row 6

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

gm-8-0004: 8×8 regional boardAA×C×C×C×C×C×C×E×E×C×C×C×C×D×BE×E×C×CCD×D×B×E×E×E×C×C×D×DD×E×E×EC×F×D×D×D×G×G×E×F×FD×D×D×G×GG×F×F×H×H×D×G×G×G×F×F×HH×D×Before step 5. Place one cat, then exclude 1 other cells.

6Check row 3

row 3 has only one remaining candidate: row 3, column 4. Every other cell is excluded by earlier placements or deductions. Place the cat here.

gm-8-0004: 8×8 regional boardAA×C×C×C×C×C×C×E×E×C×C×C×C×D×BE×E×C×CC×D×D×B×E×E×E×C×C×D×DD×E×E×EC×F×D×D×D×G×G×E×F×FD×D×D×G×GG×F×F×H×H×D×G×G×G×F×F×HH×D×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-8-0004: 8×8 regional boardAACCCCCCEECCCCDBEECCCDDBEEECCDDDEEECFDDDGGEFFDDDGGGFFHHDGGGFFHHD

Cat positions: r1c1, r2c8, r3c4, r4c7, r5c3, r6c5, r7c2, r8c6.

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How this puzzle and its reasoning are verified