A bottom singleton sends the solve back upward

Original puzzle gm-8-0056

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-8-0056: 8×8 regional boardAAAABBBBAAADDBBBADDDCCBBADDDEEBBADDDEEEEGGGFFEEEGGGGGEEEGGGHGEEE

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 fixed top-left cat fills A. Region H is the single cell r8c4, supplying the next cat at the opposite end. Its effects reduce F to r6c5 before the upper-right regions resolve.

8×8 · 1 fixed cats · 7 explained deductions. Region sizes: A: 10 · B: 11 · C: 2 · D: 11 · E: 15 · F: 2 · G: 12 · H: 1.

A deduction worth checking

C resolves at r3c6 after F is filled. It removes r2c7 by contact and clears other column-6 candidates, opening the row-2 single.

gm-8-0056: 8×8 regional boardAA×A×A×B×B×B×B×A×A×A×D×D×BBBA×DDD×C×CBBA×DDD×E×EBBA×DDD×E×E×EEG×G×G×F×FE×E×E×G×GG×G×G×E×EEG×G×G×HG×E×E×E×
Position before step 3. Review the technique.
A move to double-check · r2c7

r2c7 is a corner neighbor of r3c6. It is not removed because column 7 is full, so check the exact reason before extending that exclusion elsewhere.

gm-8-0056: 8×8 regional boardAA×A×A×B×B×B×B×A×A×A×D×D×BBBA×DDD×C×CBBA×DDD×E×EBBA×DDD×E×E×EEG×G×G×F×FE×E×E×G×GG×G×G×E×EEG×G×G×HG×E×E×E×

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

Fixed cats: row 1, column 1. One cat is required in each row, column and region.

Step-by-step walkthrough

1Check region H

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

gm-8-0056: 8×8 regional boardAA×A×A×B×B×B×B×A×A×A×DDBBBA×DDDCCBBA×DDDEEBBA×DDDEEEEG×GGFFEEEG×GGGGEEEG×GGHGEEEBefore step 1. Place one cat, then exclude 14 other cells.

2Check region F

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

gm-8-0056: 8×8 regional boardAA×A×A×B×B×B×B×A×A×A×D×DBBBA×DDD×CCBBA×DDD×EEBBA×DDD×EEEEG×GGF×FEEEG×GG×G×G×EEEG×G×G×HG×E×E×E×Before step 2. Place one cat, then exclude 11 other cells.

3Check region C

region C has only one remaining candidate: row 3, column 6. Every other cell is excluded by earlier placements or deductions. Place the cat here.

gm-8-0056: 8×8 regional boardAA×A×A×B×B×B×B×A×A×A×D×D×BBBA×DDD×C×CBBA×DDD×E×EBBA×DDD×E×E×EEG×G×G×F×FE×E×E×G×GG×G×G×E×EEG×G×G×HG×E×E×E×Before step 3. Place one cat, then exclude 8 other cells.

4Check row 2

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

gm-8-0056: 8×8 regional boardAA×A×A×B×B×B×B×A×A×A×D×D×B×B×BA×D×D×D×C×CB×B×A×DDD×E×E×B×BA×DDD×E×E×EEG×G×G×F×FE×E×E×G×GG×G×G×E×EEG×G×G×HG×E×E×E×Before step 4. Place one cat, then exclude 3 other cells.

5Check region G

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

gm-8-0056: 8×8 regional boardAA×A×A×B×B×B×B×A×A×A×D×D×B×B×BA×D×D×D×C×CB×B×A×DDD×E×E×B×B×A×DDD×E×E×EE×G×G×G×F×FE×E×E×G×GG×G×G×E×EE×G×G×G×HG×E×E×E×Before step 5. Place one cat, then exclude 3 other cells.

6Check row 4

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

gm-8-0056: 8×8 regional boardAA×A×A×B×B×B×B×A×A×A×D×D×B×B×BA×D×D×D×C×CB×B×A×D×DD×E×E×B×B×A×D×DD×E×E×EE×G×G×G×F×FE×E×E×G×GG×G×G×E×E×E×G×G×G×HG×E×E×E×Before step 6. Place one cat, then exclude 1 other cells.

7Check row 5

row 5 has only one remaining candidate: row 5, column 7. Every other cell is excluded by earlier placements or deductions. Place the cat here.

gm-8-0056: 8×8 regional boardAA×A×A×B×B×B×B×A×A×A×D×D×B×B×BA×D×D×D×C×CB×B×A×D×DD×E×E×B×B×A×D×D×D×E×E×EE×G×G×G×F×FE×E×E×G×GG×G×G×E×E×E×G×G×G×HG×E×E×E×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-8-0056: 8×8 regional boardAAAABBBBAAADDBBBADDDCCBBADDDEEBBADDDEEEEGGGFFEEEGGGGGEEEGGGHGEEE

Cat positions: r1c1, r2c8, r3c6, r4c3, r5c7, r6c5, r7c2, r8c4.

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How this puzzle and its reasoning are verified