Two row reservations prepare a column single

Original puzzle gm-6-0002

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-6-0002: 6×6 regional boardBBBBBABBBBBACCBBBECCDEEECCDEEECFFEEE

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 top-right given occupies A. Row 2 is confined to B, and that reservation strips B’s candidates from row 3. Keep both row-3 possibilities until their shared effect has been used.

6×6 · 1 fixed cats · 8 explained deductions. Region sizes: A: 2 · B: 13 · C: 7 · D: 2 · E: 10 · F: 2.

A deduction worth checking

Row 3’s r3c1 and r3c2 are both in C. Reserving C for that row removes its lower cells; the next neighbor exclusion then forces column 1.

gm-6-0002: 6×6 regional boardB×B×B×B×B×ABBBBB×A×CCB×B×B×E×CCDEEE×CCDEEE×CFFEEE×
Position before step 2. Review the technique.
A move to double-check · r2c2

Both remaining row-3 candidates touch r2c2. The exclusion is valid before knowing which one will be chosen, so guessing between them would skip the useful deduction.

gm-6-0002: 6×6 regional boardB×B×B×B×B×ABBBBB×A×CCB×B×B×E×C×C×DEEE×C×C×DEEE×C×FFEEE×

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

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

Step-by-step walkthrough

1Use a candidate lock

Every candidate in row 2 lies in region B (row 2, column 1; row 2, column 2; row 2, column 3; row 2, column 4). Its cat must use that shared section. Exclude row 3, column 3; row 3, column 4; row 3, column 5 from the rest of region B.

gm-6-0002: 6×6 regional boardB×B×B×B×B×ABBBBB×A×CCBBBE×CCDEEE×CCDEEE×CFFEEE×Before step 1. Exclude 3 cells; then scan for a new single.

2Use a candidate lock

Every candidate in row 3 lies in region C (row 3, column 1; row 3, column 2). Its cat must use that shared section. Exclude row 4, column 1; row 4, column 2; row 5, column 1; row 5, column 2; row 6, column 1 from the rest of region C.

gm-6-0002: 6×6 regional boardB×B×B×B×B×ABBBBB×A×CCB×B×B×E×CCDEEE×CCDEEE×CFFEEE×Before step 2. Exclude 5 cells; then scan for a new single.

3Exclude common neighbors

The cat in row 3 must occupy one of row 3, column 1; row 3, column 2. Each of row 2, column 1; row 2, column 2 touches every candidate, so none can hold a cat.

gm-6-0002: 6×6 regional boardB×B×B×B×B×ABBBBB×A×CCB×B×B×E×C×C×DEEE×C×C×DEEE×C×FFEEE×Before step 3. Exclude 2 cells; then scan for a new single.

4Check column 1

column 1 has only one remaining candidate: row 3, column 1. Every other cell is excluded by earlier placements or deductions. Place the cat here.

gm-6-0002: 6×6 regional boardB×B×B×B×B×AB×B×BBB×A×CCB×B×B×E×C×C×DEEE×C×C×DEEE×C×FFEEE×Before step 4. Place one cat, then exclude 1 other cells.

5Check column 2

column 2 has only one remaining candidate: row 6, column 2. Every other cell is excluded by earlier placements or deductions. Place the cat here.

gm-6-0002: 6×6 regional boardB×B×B×B×B×AB×B×BBB×A×CC×B×B×B×E×C×C×DEEE×C×C×DEEE×C×FFEEE×Before step 5. Place one cat, then exclude 4 other cells.

6Check region D

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

gm-6-0002: 6×6 regional boardB×B×B×B×B×AB×B×BBB×A×CC×B×B×B×E×C×C×DEEE×C×C×D×EEE×C×FF×E×E×E×Before step 6. Place one cat, then exclude 4 other cells.

7Check 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-6-0002: 6×6 regional boardB×B×B×B×B×AB×B×B×BB×A×CC×B×B×B×E×C×C×DE×E×E×C×C×D×E×EE×C×FF×E×E×E×Before step 7. Place one cat, then exclude 0 other cells.

8Check 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-6-0002: 6×6 regional boardB×B×B×B×B×AB×B×B×BB×A×CC×B×B×B×E×C×C×DE×E×E×C×C×D×E×EE×C×FF×E×E×E×Before step 8. 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-6-0002: 6×6 regional boardBBBBBABBBBBACCBBBECCDEEECCDEEECFFEEE

Cat positions: r1c6, r2c4, r3c1, r4c3, r5c5, r6c2.

Try another puzzle

How this puzzle and its reasoning are verified