Use two row locks at different stages of the solve

Original puzzle gm-8-0008

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

8 × 8 challenge

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

Puzzle board · starting state

gm-8-0008: 8×8 regional boardBBDDAAAABBDCAACCEDDCCCCCEDDCCCCCEEDDDDFFEDDDDFFFDDDDGGGFDDHHHHGG

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 upper given reduces B to r2c2. After this single, row 3’s candidates all lie in C. Its reservation clears row 4, while a later reservation in F handles the lower-right corner.

8×8 · 2 fixed cats · 9 explained deductions. Region sizes: A: 6 · B: 4 · C: 13 · D: 21 · E: 5 · F: 6 · G: 5 · H: 4.

A deduction worth checking

At step 5, row 6 is confined to F at columns 6–8. That removes r7c8; the following shared-neighbor step removes r7c7.

gm-8-0008: 8×8 regional boardB×B×D×D×AA×A×A×B×BD×C×A×A×C×C×E×D×D×C×C×CCCE×D×DC×C×C×C×C×EE×D×D×D×D×F×F×E×D×D×D×D×FFFD×D×D×D×G×GGFD×D×H×HH×H×G×G×
Position before step 5. Review the technique.
A move to double-check · r7c8

Do not combine these two exclusions into one vague adjacency claim. r7c8 is removed by the F quota; r7c7 is removed by touching every row-6 candidate.

gm-8-0008: 8×8 regional boardB×B×D×D×AA×A×A×B×BD×C×A×A×C×C×E×D×D×C×C×CCCE×D×DC×C×C×C×C×EE×D×D×D×D×F×F×E×D×D×D×D×FFFD×D×D×D×G×GGFD×D×H×HH×H×G×G×

Green marks the cell being discussed, not a cat to place. This is the position before step 5; 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 D D A A A A
B B D C A A C C
E D D C C C C C
E D D C C C C C
E E D D D D F F
E D D D D F F F
D D D D G G G F
D D H H H H G G

Fixed cats: row 1, column 5; row 5, 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-8-0008: 8×8 regional boardB×B×D×D×AA×A×A×B×BDC×A×A×CCE×DDCC×CCCE×D×DCC×CCCEE×D×D×D×D×F×F×E×D×DDD×FFFD×DDDG×GGFD×DHHH×HGGBefore step 1. Place one cat, then exclude 7 other cells.

2Use a candidate lock

Every candidate in row 3 lies in region C (row 3, column 4; row 3, column 6; row 3, column 7; row 3, column 8). Its cat must use that shared section. Exclude row 4, column 4; row 4, column 6; row 4, column 7; row 4, column 8 from the rest of region C.

gm-8-0008: 8×8 regional boardB×B×D×D×AA×A×A×B×BD×C×A×A×C×C×E×D×D×CC×CCCE×D×DCC×CCCEE×D×D×D×D×F×F×E×D×DDD×FFFD×D×DDG×GGFD×D×HHH×HGGBefore step 2. Exclude 4 cells; then scan for a new single.

3Check row 4

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

gm-8-0008: 8×8 regional boardB×B×D×D×AA×A×A×B×BD×C×A×A×C×C×E×D×D×CC×CCCE×D×DC×C×C×C×C×EE×D×D×D×D×F×F×E×D×DDD×FFFD×D×DDG×GGFD×D×HHH×HGGBefore step 3. Place one cat, then exclude 6 other cells.

4Check column 4

column 4 has only one remaining candidate: row 8, column 4. Every other cell is excluded by earlier placements or deductions. Place the cat here.

gm-8-0008: 8×8 regional boardB×B×D×D×AA×A×A×B×BD×C×A×A×C×C×E×D×D×C×C×CCCE×D×DC×C×C×C×C×EE×D×D×D×D×F×F×E×D×D×D×D×FFFD×D×D×D×G×GGFD×D×H×HH×HGGBefore step 4. Place one cat, then exclude 3 other cells.

5Use a candidate lock

Every candidate in row 6 lies in region F (row 6, column 6; row 6, column 7; row 6, column 8). Its cat must use that shared section. Exclude row 7, column 8 from the rest of region F.

gm-8-0008: 8×8 regional boardB×B×D×D×AA×A×A×B×BD×C×A×A×C×C×E×D×D×C×C×CCCE×D×DC×C×C×C×C×EE×D×D×D×D×F×F×E×D×D×D×D×FFFD×D×D×D×G×GGFD×D×H×HH×H×G×G×Before step 5. Exclude 1 cells; then scan for a new single.

6Exclude common neighbors

The cat in row 6 must occupy one of row 6, column 6; row 6, column 7; row 6, column 8. Each of row 7, column 7 touches every candidate, so none can hold a cat.

gm-8-0008: 8×8 regional boardB×B×D×D×AA×A×A×B×BD×C×A×A×C×C×E×D×D×C×C×CCCE×D×DC×C×C×C×C×EE×D×D×D×D×F×F×E×D×D×D×D×FFFD×D×D×D×G×GGF×D×D×H×HH×H×G×G×Before step 6. Exclude 1 cells; then scan for a new single.

7Check row 7

row 7 has only one remaining candidate: row 7, column 6. Every other cell is excluded by earlier placements or deductions. Place the cat here.

gm-8-0008: 8×8 regional boardB×B×D×D×AA×A×A×B×BD×C×A×A×C×C×E×D×D×C×C×CCCE×D×DC×C×C×C×C×EE×D×D×D×D×F×F×E×D×D×D×D×FFFD×D×D×D×G×GG×F×D×D×H×HH×H×G×G×Before step 7. Place one cat, then exclude 3 other cells.

8Check row 6

row 6 has only one remaining candidate: row 6, column 8. Every other cell is excluded by earlier placements or deductions. Place the cat here.

gm-8-0008: 8×8 regional boardB×B×D×D×AA×A×A×B×BD×C×A×A×C×C×E×D×D×C×C×C×CCE×D×DC×C×C×C×C×EE×D×D×D×D×F×F×E×D×D×D×D×F×F×FD×D×D×D×G×GG×F×D×D×H×HH×H×G×G×Before step 8. Place one cat, then exclude 1 other cells.

9Check row 3

row 3 has only one remaining candidate: row 3, column 7. Every other cell is excluded by earlier placements or deductions. Place the cat here.

gm-8-0008: 8×8 regional boardB×B×D×D×AA×A×A×B×BD×C×A×A×C×C×E×D×D×C×C×C×CC×E×D×DC×C×C×C×C×EE×D×D×D×D×F×F×E×D×D×D×D×F×F×FD×D×D×D×G×GG×F×D×D×H×HH×H×G×G×Before step 9. 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-8-0008: 8×8 regional boardBBDDAAAABBDCAACCEDDCCCCCEDDCCCCCEEDDDDFFEDDDDFFFDDDDGGGFDDHHHHGG

Cat positions: r1c5, r2c2, r3c7, r4c3, r5c1, r6c8, r7c6, r8c4.

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How this puzzle and its reasoning are verified