Puzzle gm-6-0001

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-6-0001: 6×6 regional boardCAABBBCCABBBCCEBBBFCEEDDFFEEEDFEEEEE

Your starting point

This original 6×6 board has 6 connected regions and 1 fixed cat. The smallest region is A, with 3 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 5 forced placements and 0 candidate-elimination steps after the givens. Region sizes: A: 3 · B: 9 · C: 6 · D: 3 · E: 11 · F: 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 row 6

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

gm-6-0001: 6×6 regional boardCAAB×BBCCAB×BBCCE×B×BBFCE×E×D×DF×F×E×EE×D×FE×E×E×E×E×Before step 1. Place one cat, then exclude 4 other cells.

2Check region D

region D has only one remaining candidate: row 4, column 6. Every other cell is excluded by earlier placements or deductions. Place the cat here.

gm-6-0001: 6×6 regional boardC×AAB×BBC×CAB×BBC×CE×B×BBF×CE×E×D×DF×F×E×EE×D×FE×E×E×E×E×Before step 2. Place one cat, then exclude 5 other cells.

3Check row 3

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

gm-6-0001: 6×6 regional boardC×AAB×BB×C×CAB×BB×C×CE×B×B×B×F×C×E×E×D×DF×F×E×EE×D×FE×E×E×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 5. Every other cell is excluded by earlier placements or deductions. Place the cat here.

gm-6-0001: 6×6 regional boardC×A×AB×BB×C×C×A×B×BB×C×CE×B×B×B×F×C×E×E×D×DF×F×E×EE×D×FE×E×E×E×E×Before step 4. Place one cat, then exclude 1 other cells.

5Check row 1

row 1 has only one remaining candidate: row 1, column 3. Every other cell is excluded by earlier placements or deductions. Place the cat here.

gm-6-0001: 6×6 regional boardC×A×AB×B×B×C×C×A×B×BB×C×CE×B×B×B×F×C×E×E×D×DF×F×E×EE×D×FE×E×E×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-6-0001: 6×6 regional boardCAABBBCCABBBCCEBBBFCEEDDFFEEEDFEEEEE

Cat positions: r1c3, r2c5, r3c2, r4c6, r5c4, r6c1.

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How this puzzle and its reasoning are verified