1Check row 5
row 5 has only one remaining candidate: row 5, column 1. Every other cell is excluded by earlier placements or deductions. Place the cat here.
Before step 1. Place one cat, then exclude 3 other cells.Original puzzle gm-5-0029
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 r4c3 given fills region D and removes its surrounding cells. Row 5 has only r5c1 left. Trace how this one placement changes the rows above rather than choosing inside the large top region.
5×5 · 1 fixed cats · 4 explained deductions. Region sizes: A: 6 · B: 1 · C: 4 · D: 9 · E: 5.
After the column-1 exclusion, row 3 resolves at r3c5. Its column effect removes two upper-right candidates, preparing row 2.
r2c5 is excluded by the new column-5 cat even though it is in a different region. Region borders do not stop row or column constraints.
Green marks the cell being discussed, not a cat to place. This is the position before step 2; compare the deduction below.
Each line is one row, left to right. Matching letters belong to the same connected region.
A A A A C A B A D C E E D D C E E D D C E D D D D
Fixed cats: row 4, column 3. One cat is required in each row, column and region.
row 5 has only one remaining candidate: row 5, column 1. Every other cell is excluded by earlier placements or deductions. Place the cat here.
Before step 1. Place one cat, then exclude 3 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 2. Place one cat, then exclude 2 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 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, r4c3, r5c1.
gm-5-0032 · 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 →