A split column still makes a valid region lock

Original puzzle gm-6-0019

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

6 × 6 challenge

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

Puzzle board · starting state

gm-6-0019: 6×6 regional boardAABBBBABBBBCBBBBCCBEBDCCEEBDFCEEBFFF

How to approach this board

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

Column 3’s candidates are r2c3 and r6c3, separated by several rows. Both lie in B. Their distance does not weaken the reservation: the required column cat must satisfy B.

6×6 · 2 fixed cats · 5 explained deductions. Region sizes: A: 3 · B: 16 · C: 6 · D: 2 · E: 5 · F: 4.

A deduction worth checking

The lock excludes B’s r2c5 and r3c2. Row 3 then resolves at r3c6, whose column effect helps settle row 2.

gm-6-0019: 6×6 regional boardAA×B×B×B×B×A×B×BB×BCB×BB×B×C×CB×E×B×DC×C×E×EB×D×F×CE×EBF×FF
Position before step 1. Review the technique.
A move to double-check · r3c2

r3c2 need not touch both column candidates. This is a shared-region quota argument, not a common-neighbor rule.

gm-6-0019: 6×6 regional boardAA×B×B×B×B×A×B×BB×BCB×BB×B×C×CB×E×B×DC×C×E×EB×D×F×CE×EBF×FF

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

Fixed cats: row 1, column 1; row 4, column 4. One cat is required in each row, column and region.

Step-by-step walkthrough

1Use a candidate lock

Every candidate in column 3 lies in region B (row 2, column 3; row 6, column 3). Its cat must use that shared section. Exclude row 2, column 5; row 3, column 2 from the rest of region B.

gm-6-0019: 6×6 regional boardAA×B×B×B×B×A×B×BB×BCB×BB×B×C×CB×E×B×DC×C×E×EB×D×F×CE×EBF×FFBefore step 1. Exclude 2 cells; then scan for a new single.

2Check row 3

row 3 has only one remaining candidate: row 3, column 6. Every other cell is excluded by earlier placements or deductions. Place the cat here.

gm-6-0019: 6×6 regional boardAA×B×B×B×B×A×B×BB×B×CB×B×B×B×C×CB×E×B×DC×C×E×EB×D×F×CE×EBF×FFBefore step 2. Place one cat, then exclude 3 other cells.

3Check row 2

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

gm-6-0019: 6×6 regional boardAA×B×B×B×B×A×B×BB×B×C×B×B×B×B×C×CB×E×B×DC×C×E×EB×D×F×C×E×EBF×FF×Before step 3. Place one cat, then exclude 1 other cells.

4Check row 5

row 5 has only one remaining candidate: row 5, column 2. Every other cell is excluded by earlier placements or deductions. Place the cat here.

gm-6-0019: 6×6 regional boardAA×B×B×B×B×A×B×BB×B×C×B×B×B×B×C×CB×E×B×DC×C×E×EB×D×F×C×E×EB×F×FF×Before step 4. Place one cat, then exclude 1 other cells.

5Check 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-6-0019: 6×6 regional boardAA×B×B×B×B×A×B×BB×B×C×B×B×B×B×C×CB×E×B×DC×C×E×EB×D×F×C×E×E×B×F×FF×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-6-0019: 6×6 regional boardAABBBBABBBBCBBBBCCBEBDCCEEBDFCEEBFFF

Cat positions: r1c1, r2c3, r3c6, r4c4, r5c2, r6c5.

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How this puzzle and its reasoning are verified