1Check region E
region E 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 4 other cells.Original puzzle gm-5-0008
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.
Region E contains r4c1 and r5c1. The fixed cat in row 4 rules out the upper cell, forcing the lower one. This is a quota argument about the whole row, not a preference for the board edge.
5×5 · 1 fixed cats · 4 explained deductions. Region sizes: A: 4 · B: 2 · C: 7 · D: 10 · E: 2.
The E cat removes column 1 from the rest of the board. Combined with the r4c4 given, that leaves r3c2 as row 3’s only candidate.
r3c1 is far enough from r5c1 to pass the touching test, but it shares column 1. All four placement checks still apply.
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.
C A A D B C A A D B C C C D D E C D D D E C D D D
Fixed cats: row 4, column 4. One cat is required in each row, column and region.
region E 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 4 other cells.row 3 has only one remaining candidate: row 3, column 2. Every other cell is excluded by earlier placements or deductions. Place the cat here.
Before step 2. Place one cat, then exclude 3 other cells.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.
Before step 3. Place one cat, then exclude 1 other cells.row 1 has only one remaining candidate: row 1, column 3. 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: r1c3, r2c5, r3c2, r4c4, r5c1.
gm-5-0016 · 5×5 · practice
Practice single-candidate placements on another 5×5 board.
Read this walkthrough →gm-6-0001 · 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 →