Two singleton regions steer a seven-placement finish

Original puzzle gm-8-0030

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

8 × 8 practice

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

Puzzle board · starting state

gm-8-0030: 8×8 regional boardABBBBCCCEEBBBCCCEEECCCCCEEECCCFDEEEFFFFFEEFFFFFFEEFGGFFFHHHGGFFF

How to approach this board

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

A at r1c1 and D at r4c8 are both single-cell regions. Alongside the bottom-row given, they establish long exclusions across the board. Region G becomes the next place to inspect.

8×8 · 1 fixed cats · 7 explained deductions. Region sizes: A: 1 · B: 7 · C: 14 · D: 1 · E: 15 · F: 19 · G: 4 · H: 3.

A deduction worth checking

G resolves at r7c5. Its corner effects remove r6c4 and r6c6, while the column effect reaches the upper rows.

gm-8-0030: 8×8 regional boardAB×B×B×B×C×C×C×E×E×B×BBCCC×E×EE×CCCC×C×E×E×E×C×C×C×F×DE×EE×FFFF×F×E×EF×FFFFF×E×E×F×G×GFFF×H×H×HG×G×F×F×F×
Position before step 3. Review the technique.
A move to double-check · r6c6

r6c6 touches the new G cat at r7c5. Leaving it available would hide why the later column-7 single can be found.

gm-8-0030: 8×8 regional boardAB×B×B×B×C×C×C×E×E×B×BBCCC×E×EE×CCCC×C×E×E×E×C×C×C×F×DE×EE×FFFF×F×E×EF×FFFFF×E×E×F×G×GFFF×H×H×HG×G×F×F×F×

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.

A B B B B C C C
E E B B B C C C
E E E C C C C C
E E E C C C F D
E E E F F F F F
E E F F F F F F
E E F G G F F F
H H H G G F F F

Fixed cats: row 8, column 3. One cat is required in each row, column and region.

Step-by-step walkthrough

1Check region A

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

gm-8-0030: 8×8 regional boardABB×BBCCCEEB×BBCCCEEE×CCCCCEEE×CCCFDEEE×FFFFFEEF×FFFFFEE×F×G×GFFFH×H×HG×G×F×F×F×Before step 1. Place one cat, then exclude 13 other cells.

2Check region D

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

gm-8-0030: 8×8 regional boardAB×B×B×B×C×C×C×E×E×B×BBCCCE×EE×CCCCCE×EE×CCCFDE×EE×FFFFFE×EF×FFFFFE×E×F×G×GFFFH×H×HG×G×F×F×F×Before step 2. Place one cat, then exclude 12 other cells.

3Check region G

region G has only one remaining candidate: row 7, column 5. Every other cell is excluded by earlier placements or deductions. Place the cat here.

gm-8-0030: 8×8 regional boardAB×B×B×B×C×C×C×E×E×B×BBCCC×E×EE×CCCC×C×E×E×E×C×C×C×F×DE×EE×FFFF×F×E×EF×FFFFF×E×E×F×G×GFFF×H×H×HG×G×F×F×F×Before step 3. Place one cat, then exclude 8 other cells.

4Check region B

region B has only one remaining candidate: row 2, column 4. Every other cell is excluded by earlier placements or deductions. Place the cat here.

gm-8-0030: 8×8 regional boardAB×B×B×B×C×C×C×E×E×B×BB×CCC×E×EE×CC×CC×C×E×E×E×C×C×C×F×DE×EE×FF×FF×F×E×EF×F×F×F×FF×E×E×F×G×GF×F×F×H×H×HG×G×F×F×F×Before step 4. Place one cat, then exclude 4 other cells.

5Check column 7

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

gm-8-0030: 8×8 regional boardAB×B×B×B×C×C×C×E×E×B×BB×C×C×C×E×EE×C×C×CC×C×E×E×E×C×C×C×F×DE×EE×F×F×FF×F×E×EF×F×F×F×FF×E×E×F×G×GF×F×F×H×H×HG×G×F×F×F×Before step 5. Place one cat, then exclude 2 other cells.

6Check 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-8-0030: 8×8 regional boardAB×B×B×B×C×C×C×E×E×B×BB×C×C×C×E×EE×C×C×CC×C×E×E×E×C×C×C×F×DE×EE×F×F×F×F×F×E×E×F×F×F×F×FF×E×E×F×G×GF×F×F×H×H×HG×G×F×F×F×Before step 6. Place one cat, then exclude 1 other cells.

7Check 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-8-0030: 8×8 regional boardAB×B×B×B×C×C×C×E×E×B×BB×C×C×C×E×E×E×C×C×CC×C×E×E×E×C×C×C×F×DE×EE×F×F×F×F×F×E×E×F×F×F×F×FF×E×E×F×G×GF×F×F×H×H×HG×G×F×F×F×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-8-0030: 8×8 regional boardABBBBCCCEEBBBCCCEEECCCCCEEECCCFDEEEFFFFFEEFFFFFFEEFGGFFFHHHGGFFF

Cat positions: r1c1, r2c4, r3c6, r4c8, r5c2, r6c7, r7c5, r8c3.

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How this puzzle and its reasoning are verified