A row lock can force a cat in the same row

Original puzzle gm-6-0012

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-6-0012: 6×6 regional boardAAAAACBBAAACBDDCCCDDDDECDDDEECFFDEEE

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 bottom-left given reduces B to r2c2. After that placement, row 3’s surviving candidates all lie in C. Use that reservation before trying to choose among the three row-3 positions.

6×6 · 1 fixed cats · 7 explained deductions. Region sizes: A: 8 · B: 3 · C: 7 · D: 10 · E: 6 · F: 2.

A deduction worth checking

The C reservation removes other candidates from column 6, making r3c6 its only option. A later row-4 lock provides another column single.

gm-6-0012: 6×6 regional boardA×A×A×AACB×BA×A×A×C×B×D×D×CCCD×D×DDECD×D×DEECFF×D×E×E×E×
Position before step 2. Review the technique.
A move to double-check · r5c3

At step 4, row 4’s cat must be in D at r4c3 or r4c4. D therefore cannot use r5c3, even though that cell need not touch both choices.

gm-6-0012: 6×6 regional boardA×A×A×AAC×B×BA×A×A×C×B×D×D×C×C×CD×D×DDE×C×D×D×DEEC×FF×D×E×E×E×

Green marks the cell being discussed, not a cat to place. This is the position before step 4; 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 A A A C
B B A A A C
B D D C C C
D D D D E C
D D D E E C
F F D E E E

Fixed cats: row 6, column 1. One cat is required in each row, column and region.

Step-by-step walkthrough

1Check region B

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

gm-6-0012: 6×6 regional boardA×AAAACB×BAAACB×DDCCCD×DDDECD×D×DEECFF×D×E×E×E×Before step 1. Place one cat, then exclude 9 other cells.

2Use a candidate lock

Every candidate in row 3 lies in region C (row 3, column 4; row 3, column 5; row 3, column 6). Its cat must use that shared section. Exclude row 1, column 6; row 4, column 6; row 5, column 6 from the rest of region C.

gm-6-0012: 6×6 regional boardA×A×A×AACB×BA×A×A×C×B×D×D×CCCD×D×DDECD×D×DEECFF×D×E×E×E×Before step 2. Exclude 3 cells; then scan for a new single.

3Check column 6

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

gm-6-0012: 6×6 regional boardA×A×A×AAC×B×BA×A×A×C×B×D×D×CCCD×D×DDEC×D×D×DEEC×FF×D×E×E×E×Before step 3. Place one cat, then exclude 3 other cells.

4Use a candidate lock

Every candidate in row 4 lies in region D (row 4, column 3; row 4, column 4). Its cat must use that shared section. Exclude row 5, column 3 from the rest of region D.

gm-6-0012: 6×6 regional boardA×A×A×AAC×B×BA×A×A×C×B×D×D×C×C×CD×D×DDE×C×D×D×DEEC×FF×D×E×E×E×Before step 4. Exclude 1 cells; then scan for a new single.

5Check column 3

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

gm-6-0012: 6×6 regional boardA×A×A×AAC×B×BA×A×A×C×B×D×D×C×C×CD×D×DDE×C×D×D×D×EEC×FF×D×E×E×E×Before step 5. Place one cat, then exclude 2 other cells.

6Check row 5

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

gm-6-0012: 6×6 regional boardA×A×A×AAC×B×BA×A×A×C×B×D×D×C×C×CD×D×DD×E×C×D×D×D×E×EC×FF×D×E×E×E×Before step 6. Place one cat, then exclude 1 other cells.

7Check row 1

row 1 has only one remaining candidate: row 1, column 4. Every other cell is excluded by earlier placements or deductions. Place the cat here.

gm-6-0012: 6×6 regional boardA×A×A×AA×C×B×BA×A×A×C×B×D×D×C×C×CD×D×DD×E×C×D×D×D×E×EC×FF×D×E×E×E×Before step 7. 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-6-0012: 6×6 regional boardAAAAACBBAAACBDDCCCDDDDECDDDEECFFDEEE

Cat positions: r1c4, r2c2, r3c6, r4c3, r5c5, r6c1.

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How this puzzle and its reasoning are verified