Two small top regions simplify a crowded grid

Original puzzle gm-8-0010

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-8-0010: 8×8 regional boardCCCAABBBCCCACCBBDCCCCCCCDDDCEEEEDDGGEEEEDFGGGHHHFFFGGGHHFFFGGGHH

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 three lower givens leave A with r1c5. Its placement then reduces B to r2c7. These two regional singles cut down the larger C and E areas without any candidate lock.

8×8 · 3 fixed cats · 5 explained deductions. Region sizes: A: 3 · B: 5 · C: 16 · D: 7 · E: 8 · F: 7 · G: 11 · H: 7.

A deduction worth checking

Row 5 resolves at r5c6, removing r4c6. That helps the remaining C region settle before the final row-4 placement.

gm-8-0010: 8×8 regional boardC×C×C×A×AB×B×B×C×C×C×A×C×C×BB×DC×CC×C×C×C×C×DD×DC×E×EE×E×D×D×G×G×E×EE×E×D×FG×G×G×H×H×H×F×F×F×GG×G×H×H×F×F×F×G×G×G×H×H
Position before step 3. Review the technique.
A move to double-check · r3c6

r3c6 touches r2c7 at a corner. Its broad C region does not protect it from the newer B cat’s local neighborhood.

gm-8-0010: 8×8 regional boardC×C×C×A×AB×B×B×CC×CA×C×C×BB×DC×CC×C×CCC×DD×DC×E×EEE×D×D×G×G×E×EEE×D×FG×G×G×H×H×H×F×F×F×GG×G×H×H×F×F×F×G×G×G×H×H

Green marks the cell being discussed, not a cat to place. This is the position before step 2; 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.

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

Fixed cats: row 8, column 8; row 6, column 2; row 7, 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-8-0010: 8×8 regional boardCC×CA×ABBB×CC×CA×CCBB×DC×CC×CCCC×DD×DC×EEEE×D×D×G×G×EEEE×D×FG×G×G×H×H×H×F×F×F×GG×G×H×H×F×F×F×G×G×G×H×HBefore step 1. Place one cat, then exclude 9 other cells.

2Check region B

region B has only one remaining candidate: row 2, column 7. Every other cell is excluded by earlier placements or deductions. Place the cat here.

gm-8-0010: 8×8 regional boardC×C×C×A×AB×B×B×CC×CA×C×C×BB×DC×CC×C×CCC×DD×DC×E×EEE×D×D×G×G×E×EEE×D×FG×G×G×H×H×H×F×F×F×GG×G×H×H×F×F×F×G×G×G×H×HBefore step 2. Place one cat, then exclude 6 other cells.

3Check row 5

row 5 has only one remaining candidate: row 5, column 6. Every other cell is excluded by earlier placements or deductions. Place the cat here.

gm-8-0010: 8×8 regional boardC×C×C×A×AB×B×B×C×C×C×A×C×C×BB×DC×CC×C×C×C×C×DD×DC×E×EE×E×D×D×G×G×E×EE×E×D×FG×G×G×H×H×H×F×F×F×GG×G×H×H×F×F×F×G×G×G×H×HBefore step 3. Place one cat, then exclude 1 other cells.

4Check region C

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

gm-8-0010: 8×8 regional boardC×C×C×A×AB×B×B×C×C×C×A×C×C×BB×DC×CC×C×C×C×C×DD×DC×E×E×E×E×D×D×G×G×E×EE×E×D×FG×G×G×H×H×H×F×F×F×GG×G×H×H×F×F×F×G×G×G×H×HBefore step 4. Place one cat, then exclude 2 other cells.

5Check row 4

row 4 has only one remaining candidate: row 4, column 1. Every other cell is excluded by earlier placements or deductions. Place the cat here.

gm-8-0010: 8×8 regional boardC×C×C×A×AB×B×B×C×C×C×A×C×C×BB×D×C×CC×C×C×C×C×DD×D×C×E×E×E×E×D×D×G×G×E×EE×E×D×FG×G×G×H×H×H×F×F×F×GG×G×H×H×F×F×F×G×G×G×H×HBefore step 5. 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-8-0010: 8×8 regional boardCCCAABBBCCCACCBBDCCCCCCCDDDCEEEEDDGGEEEEDFGGGHHHFFFGGGHHFFFGGGHH

Cat positions: r1c5, r2c7, r3c3, r4c1, r5c6, r6c2, r7c4, r8c8.

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How this puzzle and its reasoning are verified