A central singleton prepares an upper-left anchor

Original puzzle gm-8-0057

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-8-0057: 8×8 regional boardAAAACCCCAEBACCCDEEEECCCDGEEECCDDGGEEEDDDGGGEEEFDHHGGEEFDHHHHHEED

How to approach this board

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

B is the one-cell region r2c3. Placing it reduces A to r1c1. Together with the bottom-row given, those upper anchors narrow G’s lower-left possibilities.

8×8 · 1 fixed cats · 7 explained deductions. Region sizes: A: 6 · B: 1 · C: 12 · D: 10 · E: 18 · F: 2 · G: 8 · H: 7.

A deduction worth checking

G resolves at r7c4. Its neighborhood removes r6c5, helping the narrow F region settle at r6c7.

gm-8-0057: 8×8 regional boardAA×A×A×C×C×C×C×A×E×BA×C×C×C×D×E×E×E×E×CCCDG×E×E×ECCDDG×G×E×EEDDDG×G×G×EEEFDH×H×G×GEEFDH×HH×H×H×E×E×D×
Position before step 3. Review the technique.
A move to double-check · r6c5

r6c5 has a different region label from r7c4, but shares its corner. Treat that local contact separately from the longer column-4 exclusions.

gm-8-0057: 8×8 regional boardAA×A×A×C×C×C×C×A×E×BA×C×C×C×D×E×E×E×E×CCCDG×E×E×ECCDDG×G×E×EEDDDG×G×G×EEEFDH×H×G×GEEFDH×HH×H×H×E×E×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 A A C C C C
A E B A C C C D
E E E E C C C D
G E E E C C D D
G G E E E D D D
G G G E E E F D
H H G G E E F D
H H H H H E E D

Fixed cats: row 8, column 2. 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 3. Every other cell is excluded by earlier placements or deductions. Place the cat here.

gm-8-0057: 8×8 regional boardAA×AACCCCAE×BACCCDEE×EECCCDGE×EECCDDGG×EEEDDDGG×GEEEFDH×H×G×GEEFDH×HH×H×H×E×E×D×Before step 1. Place one cat, then exclude 13 other cells.

2Check 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-8-0057: 8×8 regional boardAA×A×A×CCCCA×E×BA×C×C×C×D×EE×E×E×CCCDGE×E×ECCDDGG×E×EEDDDGG×G×EEEFDH×H×G×GEEFDH×HH×H×H×E×E×D×Before step 2. Place one cat, then exclude 8 other cells.

3Check region G

region G has only one remaining candidate: row 7, column 4. Every other cell is excluded by earlier placements or deductions. Place the cat here.

gm-8-0057: 8×8 regional boardAA×A×A×C×C×C×C×A×E×BA×C×C×C×D×E×E×E×E×CCCDG×E×E×ECCDDG×G×E×EEDDDG×G×G×EEEFDH×H×G×GEEFDH×HH×H×H×E×E×D×Before step 3. Place one cat, then exclude 8 other cells.

4Check region F

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

gm-8-0057: 8×8 regional boardAA×A×A×C×C×C×C×A×E×BA×C×C×C×D×E×E×E×E×CCCDG×E×E×E×CCDDG×G×E×E×EDDDG×G×G×E×E×EFDH×H×G×GE×E×F×D×H×HH×H×H×E×E×D×Before step 4. Place one cat, then exclude 7 other cells.

5Check 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-8-0057: 8×8 regional boardAA×A×A×C×C×C×C×A×E×BA×C×C×C×D×E×E×E×E×CCC×DG×E×E×E×CCD×DG×G×E×E×ED×D×D×G×G×G×E×E×E×FD×H×H×G×GE×E×F×D×H×HH×H×H×E×E×D×Before step 5. Place one cat, then exclude 3 other cells.

6Check row 4

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

gm-8-0057: 8×8 regional boardAA×A×A×C×C×C×C×A×E×BA×C×C×C×D×E×E×E×E×C×CC×DG×E×E×E×C×C×D×DG×G×E×E×ED×D×D×G×G×G×E×E×E×FD×H×H×G×GE×E×F×D×H×HH×H×H×E×E×D×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-8-0057: 8×8 regional boardAA×A×A×C×C×C×C×A×E×BA×C×C×C×D×E×E×E×E×C×CC×D×G×E×E×E×C×C×D×DG×G×E×E×ED×D×D×G×G×G×E×E×E×FD×H×H×G×GE×E×F×D×H×HH×H×H×E×E×D×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-8-0057: 8×8 regional boardAAAACCCCAEBACCCDEEEECCCDGEEECCDDGGEEEDDDGGGEEEFDHHGGEEFDHHHHHEED

Cat positions: r1c1, r2c3, r3c6, r4c8, r5c5, r6c7, r7c4, r8c2.

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How this puzzle and its reasoning are verified