1Check 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.
Before step 1. Place one cat, then exclude 4 other cells.Original puzzle gm-5-0045
By GridMew · Published 15 October 2026 · Updated 16 October 2026
5 × 5 practice
Read the starting position, follow the deductions, and check the move that is easy to misread.
Coordinates such as r2c3 mean row 2, column 3. Count rows from the top and columns from the left.
The fixed cat at r5c3 fills E. Inspect row 4 after removing that region and the given’s neighbors: only the leftmost cell survives. Its effect is much wider than the neighboring square.
5×5 · 1 fixed cats · 4 explained deductions. Region sizes: A: 2 · B: 7 · C: 1 · D: 5 · E: 10.
After row 2 resolves at r2c2, row 3 is forced at r3c5. That placement removes the remaining top-right column candidate.
r1c1 must be crossed out when r4c1 is placed. They do not touch, but they cannot both occupy column 1.
Green marks the cell being discussed, not a cat to place. This is the position before step 1; compare the deduction below.
Each line is one row, left to right. Matching letters belong to the same connected region.
D B B A A D B B E E D B B E C D B E E E D E E E E
Fixed cats: row 5, column 3. One cat is required in each row, column and region.
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.
Before step 1. Place one cat, then exclude 4 other cells.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.
Before step 2. Place one cat, then exclude 1 other cells.row 3 has only one remaining candidate: row 3, column 5. Every other cell is excluded by earlier placements or deductions. Place the cat here.
Before step 3. Place one cat, then exclude 1 other cells.row 1 has only one remaining candidate: row 1, column 4. Every other cell is excluded by earlier placements or deductions. Place the cat here.
Before step 4. Place one cat, then exclude 0 other cells.The final cats satisfy every row, column and region quota, with no edge or corner contact.
Cat positions: r1c4, r2c2, r3c5, r4c1, r5c3.
gm-5-0029 · 5×5 · practice
Practice single-candidate placements on another 5×5 board.
Read this walkthrough →gm-6-0009 · 6×6 · practice
Transfer single-candidate placements to a 6×6 grid; compare how the candidates change.
Read this walkthrough →gm-5-0001 · 5×5 · challenge
Compare this route with shared-neighbor exclusions, and check why that different rule is needed.
Read this walkthrough →