An upper-left region leads to a distant column single

Original puzzle gm-8-0004

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

8 × 8 intro

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

Puzzle board · starting state

gm-8-0004: 8×8 regional boardAACCCCCCEECCCCDBEECCCDDBEEECCDDDEEECFDDDGGEFFDDDGGGFFHHDGGGFFHHD

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 given at r7c2 occupies column 2, reducing A’s top-left pair to r1c1. Update the entire first row and column before looking for the next single.

8×8 · 2 fixed cats · 6 explained deductions. Region sizes: A: 2 · B: 2 · C: 16 · D: 14 · E: 11 · F: 7 · G: 8 · H: 4.

A deduction worth checking

After column 8 resolves at r2c8, column 6 has only r8c6. That lower placement helps narrow E toward r5c3.

gm-8-0004: 8×8 regional boardAA×C×C×C×C×C×C×E×E×C×C×C×C×D×BE×E×CCCD×D×B×E×E×E×C×C×D×DD×E×E×ECFD×D×D×G×G×E×FFD×D×D×G×GG×F×F×H×H×D×G×G×G×FFHH×D×
Position before step 3. Review the technique.
A move to double-check · r8c5

r8c5 is removed by the row-8 quota when r8c6 is placed. The two positions are also neighbors, but row completion alone settles it.

gm-8-0004: 8×8 regional boardAA×C×C×C×C×C×C×E×E×C×C×C×C×D×BE×E×CCCD×D×B×E×E×E×C×C×D×DD×E×E×ECFD×D×D×G×G×E×FFD×D×D×G×GG×F×F×H×H×D×G×G×G×FFHH×D×

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

Fixed cats: row 7, column 2; row 4, column 7. 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-8-0004: 8×8 regional boardAA×CCCCC×CEE×CCCCD×BEE×CCCD×D×B×E×E×E×C×C×D×DD×EE×ECFD×D×D×G×G×E×FFD×D×D×G×GG×F×F×H×H×D×G×G×G×FFHH×D×Before step 1. Place one cat, then exclude 8 other cells.

2Check column 8

column 8 has only one remaining candidate: row 2, column 8. Every other cell is excluded by earlier placements or deductions. Place the cat here.

gm-8-0004: 8×8 regional boardAA×C×C×C×C×C×C×E×E×CCCCD×BE×E×CCCD×D×B×E×E×E×C×C×D×DD×E×E×ECFD×D×D×G×G×E×FFD×D×D×G×GG×F×F×H×H×D×G×G×G×FFHH×D×Before step 2. Place one cat, then exclude 4 other cells.

3Check column 6

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

gm-8-0004: 8×8 regional boardAA×C×C×C×C×C×C×E×E×C×C×C×C×D×BE×E×CCCD×D×B×E×E×E×C×C×D×DD×E×E×ECFD×D×D×G×G×E×FFD×D×D×G×GG×F×F×H×H×D×G×G×G×FFHH×D×Before step 3. Place one cat, then exclude 2 other cells.

4Check region E

region E has only one remaining candidate: row 5, column 3. Every other cell is excluded by earlier placements or deductions. Place the cat here.

gm-8-0004: 8×8 regional boardAA×C×C×C×C×C×C×E×E×C×C×C×C×D×BE×E×CCCD×D×B×E×E×E×C×C×D×DD×E×E×ECFD×D×D×G×G×E×FFD×D×D×G×GG×F×F×H×H×D×G×G×G×F×F×HH×D×Before step 4. Place one cat, then exclude 4 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-8-0004: 8×8 regional boardAA×C×C×C×C×C×C×E×E×C×C×C×C×D×BE×E×C×CCD×D×B×E×E×E×C×C×D×DD×E×E×EC×F×D×D×D×G×G×E×F×FD×D×D×G×GG×F×F×H×H×D×G×G×G×F×F×HH×D×Before step 5. Place one cat, then exclude 1 other cells.

6Check row 3

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

gm-8-0004: 8×8 regional boardAA×C×C×C×C×C×C×E×E×C×C×C×C×D×BE×E×C×CC×D×D×B×E×E×E×C×C×D×DD×E×E×EC×F×D×D×D×G×G×E×F×FD×D×D×G×GG×F×F×H×H×D×G×G×G×F×F×HH×D×Before step 6. 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-8-0004: 8×8 regional boardAACCCCCCEECCCCDBEECCCDDBEEECCDDDEEECFDDDGGEFFDDDGGGFFHHDGGGFFHHD

Cat positions: r1c1, r2c8, r3c4, r4c7, r5c3, r6c5, r7c2, r8c6.

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How this puzzle and its reasoning are verified