1Check row 2
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 1. Place one cat, then exclude 2 other cells.Original puzzle gm-5-0009
By GridMew · Published 15 October 2026 · Updated 16 October 2026
5 × 5 intro
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 cats at r4c1 and r3c4 restrict row 2 from different directions. Scan that row before choosing among the top region’s cells; r2c2 is the only surviving position.
5×5 · 2 fixed cats · 3 explained deductions. Region sizes: A: 3 · B: 6 · C: 7 · D: 5 · E: 4.
r2c2 eliminates both r1c2 and r1c3. The top row then resolves at its right edge, while the last row is checked independently.
r1c3 is not in column 2, but it touches r2c2 at a corner. Updating only the placed cat’s row and column would leave a false candidate.
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.
B B B A A B B B C A D D C C C D D D C C E E E E C
Fixed cats: row 4, column 1; row 3, column 4. One cat is required in each row, column and region.
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 1. Place one cat, then exclude 2 other cells.row 1 has only one remaining candidate: row 1, column 5. Every other cell is excluded by earlier placements or deductions. Place the cat here.
Before step 2. Place one cat, then exclude 0 other cells.row 5 has only one remaining candidate: row 5, column 3. Every other cell is excluded by earlier placements or deductions. Place the cat here.
Before step 3. 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: r1c5, r2c2, r3c4, r4c1, r5c3.
gm-5-0002 · 5×5 · intro
Practice single-candidate placements on another 5×5 board.
Read this walkthrough →gm-6-0005 · 6×6 · intro
Transfer single-candidate placements to a 6×6 grid; compare how the candidates change.
Read this walkthrough →gm-6-0007 · 6×6 · challenge
Compare this route with shared-neighbor exclusions, and check why that different rule is needed.
Read this walkthrough →