Puzzle gm-6-0009

6 × 6 practice

Take this puzzle one clear step at a time.

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

Puzzle board · starting state

gm-6-0009: 6×6 regional boardBBAAAADBAAAADBDCCCDDDEECDDDDEEFDDDEE

Your starting point

This original 6×6 board has 6 connected regions and 1 fixed cat. The smallest region is F, 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 5 forced placements and 0 candidate-elimination steps after the givens. Region sizes: A: 8 · B: 4 · C: 4 · D: 13 · E: 6 · F: 1. 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 F

region F has only one remaining candidate: row 6, column 1. Every other cell is excluded by earlier placements or deductions. Place the cat here.

gm-6-0009: 6×6 regional boardBBAAA×ADBAA×A×A×D×B×D×C×CC×DDDE×E×C×DDDDE×EFDDDE×EBefore step 1. Place one cat, then exclude 9 other cells.

2Check region E

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

gm-6-0009: 6×6 regional boardB×BAAA×AD×BAA×A×A×D×B×D×C×CC×D×DDE×E×C×D×D×DDE×EFD×D×D×E×E×Before step 2. Place one cat, then exclude 3 other cells.

3Check column 4

column 4 has only one remaining candidate: row 1, column 4. Every other cell is excluded by earlier placements or deductions. Place the cat here.

gm-6-0009: 6×6 regional boardB×BAAA×A×D×BAA×A×A×D×B×D×C×CC×D×DDE×E×C×D×D×D×D×E×EFD×D×D×E×E×Before step 3. Place one cat, then exclude 3 other cells.

4Check 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-6-0009: 6×6 regional boardB×B×A×AA×A×D×BA×A×A×A×D×B×D×C×CC×D×DDE×E×C×D×D×D×D×E×EFD×D×D×E×E×Before step 4. Place one cat, then exclude 1 other cells.

5Check row 4

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

gm-6-0009: 6×6 regional boardB×B×A×AA×A×D×BA×A×A×A×D×B×D×C×CC×D×D×DE×E×C×D×D×D×D×E×EFD×D×D×E×E×Before step 5. 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-6-0009: 6×6 regional boardBBAAAADBAAAADBDCCCDDDEECDDDDEEFDDDEE

Cat positions: r1c4, r2c2, r3c5, r4c3, r5c6, r6c1.

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How this puzzle and its reasoning are verified