Combine a reserved row with its shared neighbors

Original puzzle gm-8-0001

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

8 × 8 challenge

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

Puzzle board · starting state

gm-8-0001: 8×8 regional boardCCAAAAAACCCBBBAACCCBBDDDCGGBBDDDFGGEGDDDFGGGGGGDFGGGGGHHFGGGGHHH

How to approach this board

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

Region E is the singleton r5c4. After placing it and resolving column 1 at r6c1, inspect the top two rows together. The givens leave a useful reservation there rather than an immediate top-row cat.

8×8 · 3 fixed cats · 7 explained deductions. Region sizes: A: 8 · B: 7 · C: 9 · D: 10 · E: 1 · F: 4 · G: 20 · H: 5.

A deduction worth checking

Row 2 can use r2c5 or r2c6. Both touch r1c5 and r1c6, so those disappear and row 1 is forced at r1c8.

gm-8-0001: 8×8 regional boardC×C×A×A×AAA×AC×C×C×B×BBA×A×C×CC×B×B×D×D×D×C×G×G×B×B×DD×DF×G×G×EG×D×D×D×FG×G×G×G×G×G×D×F×G×GG×G×G×H×H×F×G×G×G×G×H×HH×
Position before step 4. Review the technique.
A move to double-check · r2c8

The earlier row-1 reservation gives A its cat. r2c8 is also in A, so it must be removed even before the exact top-row location is known.

gm-8-0001: 8×8 regional boardC×C×A×A×AAA×AC×C×C×B×BBA×AC×CC×B×B×D×D×D×C×G×G×B×B×DD×DF×G×G×EG×D×D×D×FG×G×G×G×G×G×D×F×G×GG×G×G×H×H×F×G×G×G×G×H×HH×

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.

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

Fixed cats: row 3, column 2; row 7, column 3; row 8, column 7. One cat is required in each row, column and region.

Step-by-step walkthrough

1Check region E

region E has only one remaining candidate: row 5, column 4. Every other cell is excluded by earlier placements or deductions. Place the cat here.

gm-8-0001: 8×8 regional boardC×C×A×AAAA×AC×C×C×BBBA×AC×CC×B×B×D×D×D×C×G×G×BBDD×DFG×G×EG×DD×DFG×G×G×G×G×G×DF×G×GG×G×G×H×H×F×G×G×G×G×H×HH×Before step 1. Place one cat, then exclude 7 other cells.

2Check column 1

column 1 has only one remaining candidate: row 6, column 1. Every other cell is excluded by earlier placements or deductions. Place the cat here.

gm-8-0001: 8×8 regional boardC×C×A×A×AAA×AC×C×C×B×BBA×AC×CC×B×B×D×D×D×C×G×G×B×B×DD×DF×G×G×EG×D×D×D×FG×G×G×G×G×G×DF×G×GG×G×G×H×H×F×G×G×G×G×H×HH×Before step 2. Place one cat, then exclude 1 other cells.

3Use a candidate lock

Every candidate in row 1 lies in region A (row 1, column 5; row 1, column 6; row 1, column 8). Its cat must use that shared section. Exclude row 2, column 8 from the rest of region A.

gm-8-0001: 8×8 regional boardC×C×A×A×AAA×AC×C×C×B×BBA×AC×CC×B×B×D×D×D×C×G×G×B×B×DD×DF×G×G×EG×D×D×D×FG×G×G×G×G×G×D×F×G×GG×G×G×H×H×F×G×G×G×G×H×HH×Before step 3. Exclude 1 cells; then scan for a new single.

4Exclude common neighbors

The cat in row 2 must occupy one of row 2, column 5; row 2, column 6. Each of row 1, column 5; row 1, column 6 touches every candidate, so none can hold a cat.

gm-8-0001: 8×8 regional boardC×C×A×A×AAA×AC×C×C×B×BBA×A×C×CC×B×B×D×D×D×C×G×G×B×B×DD×DF×G×G×EG×D×D×D×FG×G×G×G×G×G×D×F×G×GG×G×G×H×H×F×G×G×G×G×H×HH×Before step 4. Exclude 2 cells; then scan for a new single.

5Check row 1

row 1 has only one remaining candidate: row 1, column 8. Every other cell is excluded by earlier placements or deductions. Place the cat here.

gm-8-0001: 8×8 regional boardC×C×A×A×A×A×A×AC×C×C×B×BBA×A×C×CC×B×B×D×D×D×C×G×G×B×B×DD×DF×G×G×EG×D×D×D×FG×G×G×G×G×G×D×F×G×GG×G×G×H×H×F×G×G×G×G×H×HH×Before step 5. Place one cat, then exclude 1 other cells.

6Check row 4

row 4 has only one remaining candidate: row 4, column 6. Every other cell is excluded by earlier placements or deductions. Place the cat here.

gm-8-0001: 8×8 regional boardC×C×A×A×A×A×A×AC×C×C×B×BBA×A×C×CC×B×B×D×D×D×C×G×G×B×B×DD×D×F×G×G×EG×D×D×D×FG×G×G×G×G×G×D×F×G×GG×G×G×H×H×F×G×G×G×G×H×HH×Before step 6. Place one cat, then exclude 1 other cells.

7Check row 2

row 2 has only one remaining candidate: row 2, column 5. Every other cell is excluded by earlier placements or deductions. Place the cat here.

gm-8-0001: 8×8 regional boardC×C×A×A×A×A×A×AC×C×C×B×BB×A×A×C×CC×B×B×D×D×D×C×G×G×B×B×DD×D×F×G×G×EG×D×D×D×FG×G×G×G×G×G×D×F×G×GG×G×G×H×H×F×G×G×G×G×H×HH×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-8-0001: 8×8 regional boardCCAAAAAACCCBBBAACCCBBDDDCGGBBDDDFGGEGDDDFGGGGGGDFGGGGGHHFGGGGHHH

Cat positions: r1c8, r2c5, r3c2, r4c6, r5c4, r6c1, r7c3, r8c7.

Try another puzzle

How this puzzle and its reasoning are verified