Resolve the two outside rows around three givens

Original puzzle gm-6-0006

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

6 × 6 intro

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

Puzzle board · starting state

gm-6-0006: 6×6 regional boardBAAAAABBAAAABECCDDBECDDDEEFFFDEEEFFD

How to approach this board

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

The fixed cats in rows 3, 4 and 5 leave rows 1, 2 and 6. Row 2 is the first single at r2c1. The bottom row can be settled next, without an advanced lock.

6×6 · 3 fixed cats · 3 explained deductions. Region sizes: A: 9 · B: 5 · C: 3 · D: 7 · E: 7 · F: 5.

A deduction worth checking

r6c5 removes r1c5 through their shared column. The top row is then determined by the accumulated column and region quotas.

gm-6-0006: 6×6 regional boardB×A×AA×AA×BB×A×A×A×A×B×E×C×CD×D×B×E×C×D×D×DE×EF×F×F×D×E×E×E×F×FD×
Position before step 2. Review the technique.
A move to double-check · r1c5

The long vertical separation does not preserve r1c5. Adjacency and column membership are independent tests, and this exclusion uses the latter.

gm-6-0006: 6×6 regional boardB×A×AA×AA×BB×A×A×A×A×B×E×C×CD×D×B×E×C×D×D×DE×EF×F×F×D×E×E×E×F×FD×

Green marks the cell being discussed, not a cat to place. This is the position before step 2; 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 A A A A A
B B A A A A
B E C C D D
B E C D D D
E E F F F D
E E E F F D

Fixed cats: row 5, column 2; row 4, column 6; row 3, column 4. One cat is required in each row, column and region.

Step-by-step walkthrough

1Check row 2

row 2 has only one remaining candidate: row 2, column 1. Every other cell is excluded by earlier placements or deductions. Place the cat here.

gm-6-0006: 6×6 regional boardBA×AA×AA×BB×A×A×A×A×B×E×C×CD×D×B×E×C×D×D×DE×EF×F×F×D×E×E×E×F×FD×Before step 1. Place one cat, then exclude 1 other cells.

2Check row 6

row 6 has only one remaining candidate: row 6, column 5. Every other cell is excluded by earlier placements or deductions. Place the cat here.

gm-6-0006: 6×6 regional boardB×A×AA×AA×BB×A×A×A×A×B×E×C×CD×D×B×E×C×D×D×DE×EF×F×F×D×E×E×E×F×FD×Before step 2. Place one cat, then exclude 1 other cells.

3Check 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-6-0006: 6×6 regional boardB×A×AA×A×A×BB×A×A×A×A×B×E×C×CD×D×B×E×C×D×D×DE×EF×F×F×D×E×E×E×F×FD×Before step 3. 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-6-0006: 6×6 regional boardBAAAAABBAAAABECCDDBECDDDEEFFFDEEEFFD

Cat positions: r1c3, r2c1, r3c4, r4c6, r5c2, r6c5.

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How this puzzle and its reasoning are verified