Puzzle gm-6-0008

6 × 6 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-6-0008: 6×6 regional boardBCCACCBBCCCCBBCCCCEEDDDCEEDDDDEEEDDF

Your starting point

This original 6×6 board has 6 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 4 forced placements and 0 candidate-elimination steps after the givens. Region sizes: A: 1 · B: 5 · C: 13 · D: 9 · E: 7 · 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 A

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

gm-6-0008: 6×6 regional boardB×CCACC×B×BCCCC×B×BCCCC×E×E×DDDC×EE×D×D×D×D×E×E×E×D×D×FBefore step 1. Place one cat, then exclude 8 other cells.

2Check 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-6-0008: 6×6 regional boardB×C×C×AC×C×B×BC×C×C×C×B×BCC×CC×E×E×DD×DC×EE×D×D×D×D×E×E×E×D×D×FBefore 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-6-0008: 6×6 regional boardB×C×C×AC×C×B×BC×C×C×C×B×B×C×C×CC×E×E×DD×DC×EE×D×D×D×D×E×E×E×D×D×FBefore step 3. Place one cat, then exclude 1 other cells.

4Check 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-6-0008: 6×6 regional boardB×C×C×AC×C×B×BC×C×C×C×B×B×C×C×CC×E×E×DD×D×C×EE×D×D×D×D×E×E×E×D×D×FBefore 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-6-0008: 6×6 regional boardBCCACCBBCCCCBBCCCCEEDDDCEEDDDDEEEDDF

Cat positions: r1c4, r2c2, r3c5, r4c3, r5c1, r6c6.

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How this puzzle and its reasoning are verified