Two singletons release the bottom-right region

Original puzzle gm-8-0055

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-8-0055: 8×8 regional boardBBBBADDDBBBBBDDDBBBCCDDDBBECCDDDEEEEDDDDEEEEHHFDGEEHHHDDGEEHHHHD

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 r1c5 and F at r6c7 each force a cat. Use both before choosing among H’s many lower cells. Their row, column and neighborhood effects reduce H to r8c6.

8×8 · 1 fixed cats · 7 explained deductions. Region sizes: A: 1 · B: 14 · C: 4 · D: 20 · E: 13 · F: 1 · G: 2 · H: 9.

A deduction worth checking

The H cat removes r4c6 through column 6, well above its local neighborhood. That long effect matters when the solve returns to the upper rows.

gm-8-0055: 8×8 regional boardB×B×B×B×AD×D×D×BBB×B×B×D×D×DB×B×B×CC×D×D×D×BBE×C×C×DD×DEEEE×D×D×D×D×E×E×E×E×H×H×FD×GEEH×H×H×D×D×GEEH×H×HH×D
Position before step 3. Review the technique.
A move to double-check · r4c6

r4c6 is not safe just because it is four rows above r8c6. Both would occupy column 6, which admits one cat.

gm-8-0055: 8×8 regional boardB×B×B×B×AD×D×D×BBB×B×B×D×D×DB×B×B×CC×D×D×D×BBE×C×C×DD×DEEEE×D×D×D×D×E×E×E×E×H×H×FD×GEEH×H×H×D×D×GEEH×H×HH×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.

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

Fixed cats: row 3, column 4. 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 5. Every other cell is excluded by earlier placements or deductions. Place the cat here.

gm-8-0055: 8×8 regional boardBBBB×ADDDBBB×B×B×DDDB×B×B×CC×D×D×D×BBE×C×C×DDDEEEE×DDDDEEEE×HHFDGEEH×HHDDGEEH×HHHDBefore step 1. Place one cat, then exclude 11 other cells.

2Check 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-8-0055: 8×8 regional boardB×B×B×B×AD×D×D×BBB×B×B×D×DDB×B×B×CC×D×D×D×BBE×C×C×DDDEEEE×D×DDDEEEE×H×HFDGEEH×H×HDDGEEH×H×HHDBefore step 2. Place one cat, then exclude 14 other cells.

3Check region H

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

gm-8-0055: 8×8 regional boardB×B×B×B×AD×D×D×BBB×B×B×D×D×DB×B×B×CC×D×D×D×BBE×C×C×DD×DEEEE×D×D×D×D×E×E×E×E×H×H×FD×GEEH×H×H×D×D×GEEH×H×HH×DBefore step 3. Place one cat, then exclude 5 other cells.

4Check region G

region G has only one remaining candidate: row 7, column 1. Every other cell is excluded by earlier placements or deductions. Place the cat here.

gm-8-0055: 8×8 regional boardB×B×B×B×AD×D×D×BBB×B×B×D×D×DB×B×B×CC×D×D×D×BBE×C×C×D×D×DEEEE×D×D×D×D×E×E×E×E×H×H×FD×GEEH×H×H×D×D×G×E×E×H×H×HH×D×Before step 4. Place one cat, then exclude 5 other cells.

5Check column 3

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

gm-8-0055: 8×8 regional boardB×B×B×B×AD×D×D×B×BB×B×B×D×D×DB×B×B×CC×D×D×D×B×BE×C×C×D×D×DE×EEE×D×D×D×D×E×E×E×E×H×H×FD×GE×E×H×H×H×D×D×G×E×E×H×H×HH×D×Before step 5. Place one cat, then exclude 2 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-8-0055: 8×8 regional boardB×B×B×B×AD×D×D×B×BB×B×B×D×D×DB×B×B×CC×D×D×D×B×B×E×C×C×D×D×DE×E×EE×D×D×D×D×E×E×E×E×H×H×FD×GE×E×H×H×H×D×D×G×E×E×H×H×HH×D×Before step 6. Place one cat, then exclude 1 other cells.

7Check row 2

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

gm-8-0055: 8×8 regional boardB×B×B×B×AD×D×D×B×BB×B×B×D×D×D×B×B×B×CC×D×D×D×B×B×E×C×C×D×D×DE×E×EE×D×D×D×D×E×E×E×E×H×H×FD×GE×E×H×H×H×D×D×G×E×E×H×H×HH×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-8-0055: 8×8 regional boardBBBBADDDBBBBBDDDBBBCCDDDBBECCDDDEEEEDDDDEEEEHHFDGEEHHHDDGEEHHHHD

Cat positions: r1c5, r2c2, r3c4, r4c8, r5c3, r6c7, r7c1, r8c6.

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How this puzzle and its reasoning are verified