A bottom-left singleton opens a distant column

Original puzzle gm-6-0009

By GridMew · Published 15 October 2026 · Updated 16 October 2026

6 × 6 practice

Read the starting position, follow the deductions, and check the move that is easy to misread.

Puzzle board · starting state

gm-6-0009: 6×6 regional boardBBAAAADBAAAADBDCCCDDDEECDDDDEEFDDDEE

How to approach this board

Coordinates such as r2c3 mean row 2, column 3. Count rows from the top and columns from the left.

Region F forces r6c1. Alongside the r3c5 given, it leaves region E with just r5c6. These edge placements matter because they clear whole columns as well as local neighborhoods.

6×6 · 1 fixed cats · 5 explained deductions. Region sizes: A: 8 · B: 4 · C: 4 · D: 13 · E: 6 · F: 1.

A deduction worth checking

Column 4 then resolves at r1c4. That cat removes r2c3 by touching, helping row 2 settle at r2c2.

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×
Position before step 3. Review the technique.
A move to double-check · r2c3

r2c3 cannot be kept as a second option after r1c4. Their different labels do not override the immediate diagonal prohibition.

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×

Green marks the cell being discussed, not a cat to place. This is the position before step 3; compare the deduction below.

Read the starting board as text

Each line is one row, left to right. Matching letters belong to the same connected region.

B B A A A A
D B A A A A
D B D C C C
D D D E E C
D D D D E E
F D D D E E

Fixed cats: row 3, column 5. One cat is required in each row, column and region.

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