Use a top singleton to read the middle columns

Original puzzle gm-6-0046

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-6-0046: 6×6 regional boardBBBBADBBBBDDBBCCDDBBCCDDEEEEDDFFFDDD

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 A is only r1c5. Place its cat, then inspect column 4 alongside the fixed cat at r5c3. The important next observation is vertical rather than another small region.

6×6 · 1 fixed cats · 5 explained deductions. Region sizes: A: 1 · B: 12 · C: 4 · D: 12 · E: 4 · F: 3.

A deduction worth checking

Column 4 forces r3c4. This fills C, removing r3c1 and r3c2 by row and r3c6 by that same row quota.

gm-6-0046: 6×6 regional boardB×B×B×B×AD×BBB×B×D×D×BBC×CD×DBB×C×C×D×DE×E×EE×D×D×FF×F×D×D×D
Position before step 2. Review the technique.
A move to double-check · r4c1

At step 3, the new cat at r2c2 fills B. r4c1 belongs to B too, despite being far below it, so region membership explains its removal.

gm-6-0046: 6×6 regional boardB×B×B×B×AD×BBB×B×D×D×B×B×C×CD×D×BB×C×C×D×DE×E×EE×D×D×FF×F×D×D×D

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

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

Step-by-step walkthrough

1Check region A

region A has only one remaining candidate: row 1, column 5. Every other cell is excluded by earlier placements or deductions. Place the cat here.

gm-6-0046: 6×6 regional boardBBB×BADBBB×BDDBBC×CDDBB×C×C×DDE×E×EE×D×D×FF×F×D×DDBefore step 1. Place one cat, then exclude 10 other cells.

2Check column 4

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

gm-6-0046: 6×6 regional boardB×B×B×B×AD×BBB×B×D×D×BBC×CD×DBB×C×C×D×DE×E×EE×D×D×FF×F×D×D×DBefore step 2. Place one cat, then exclude 3 other cells.

3Check column 2

column 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-6-0046: 6×6 regional boardB×B×B×B×AD×BBB×B×D×D×B×B×C×CD×D×BB×C×C×D×DE×E×EE×D×D×FF×F×D×D×DBefore step 3. Place one cat, then exclude 2 other cells.

4Check row 4

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

gm-6-0046: 6×6 regional boardB×B×B×B×AD×B×BB×B×D×D×B×B×C×CD×D×B×B×C×C×D×DE×E×EE×D×D×FF×F×D×D×DBefore step 4. Place one cat, then exclude 1 other cells.

5Check 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-6-0046: 6×6 regional boardB×B×B×B×AD×B×BB×B×D×D×B×B×C×CD×D×B×B×C×C×D×DE×E×EE×D×D×FF×F×D×D×D×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-6-0046: 6×6 regional boardBBBBADBBBBDDBBCCDDBBCCDDEEEEDDFFFDDD

Cat positions: r1c5, r2c2, r3c4, r4c6, r5c3, r6c1.

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How this puzzle and its reasoning are verified