The central singleton releases a lower-right region

Original puzzle gm-6-0057

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-6-0057: 6×6 regional boardAABBBBAABBBBACEDDDAEEDDFAEEFFFEEEEFF

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 C at r3c2 supplies the first cat. The fixed r4c5 cat has already filled D; together their effects narrow F to a bottom-right position.

6×6 · 1 fixed cats · 5 explained deductions. Region sizes: A: 7 · B: 8 · C: 1 · D: 5 · E: 9 · F: 6.

A deduction worth checking

F resolves at r6c6. With that lower row and column occupied, row 2 can use r2c4, whose next effects reach the top row.

gm-6-0057: 6×6 regional boardAA×BBB×BA×A×B×BB×BA×CE×D×D×D×A×E×E×D×DF×AE×EF×F×F×EE×EEF×F
Position before step 2. Review the technique.
A move to double-check · r2c3

r2c3 touches the first cat at r3c2. Crossing it out depends on the actual corner contact, not on region C extending into row 2.

gm-6-0057: 6×6 regional boardAABBB×BAABBB×BACED×D×D×A×E×E×D×DF×AEEF×F×F×EEEEF×F

Green marks the cell being discussed, not a cat to place. This is the position before step 1; 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.

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

Fixed cats: row 4, column 5. One cat is required in each row, column and region.

Step-by-step walkthrough

1Check region C

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

gm-6-0057: 6×6 regional boardAABBB×BAABBB×BACED×D×D×A×E×E×D×DF×AEEF×F×F×EEEEF×FBefore step 1. Place one cat, then exclude 8 other cells.

2Check region F

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

gm-6-0057: 6×6 regional boardAA×BBB×BA×A×B×BB×BA×CE×D×D×D×A×E×E×D×DF×AE×EF×F×F×EE×EEF×FBefore step 2. Place one cat, then exclude 5 other cells.

3Check row 2

row 2 has only one remaining candidate: row 2, column 4. Every other cell is excluded by earlier placements or deductions. Place the cat here.

gm-6-0057: 6×6 regional boardAA×BBB×B×A×A×B×BB×B×A×CE×D×D×D×A×E×E×D×DF×AE×EF×F×F×E×E×E×E×F×FBefore step 3. Place one cat, then exclude 2 other cells.

4Check row 1

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

gm-6-0057: 6×6 regional boardAA×B×B×B×B×A×A×B×BB×B×A×CE×D×D×D×A×E×E×D×DF×AE×EF×F×F×E×E×E×E×F×FBefore step 4. Place one cat, then exclude 1 other cells.

5Check row 5

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

gm-6-0057: 6×6 regional boardAA×B×B×B×B×A×A×B×BB×B×A×CE×D×D×D×A×E×E×D×DF×A×E×EF×F×F×E×E×E×E×F×FBefore 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-6-0057: 6×6 regional boardAABBBBAABBBBACEDDDAEEDDFAEEFFFEEEEFF

Cat positions: r1c1, r2c4, r3c2, r4c5, r5c3, r6c6.

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How this puzzle and its reasoning are verified