Find the Cat #89: 6x6 Grid Puzzle (Easy)
easyTap a square: ✕ (ruled out) → 🐱 (cat) → clear
A 6x6 logic grid, 6 colors, 6 cats. Work out where each cat sits using nothing but the rules -- there is only one correct layout and no guessing is needed.
- One cat in every row and every column.
- One cat in every color region.
- Cats can’t touch — not even diagonally.
Step-by-step solution
Squares are written as R<row>C<column>, counting from the top-left. Cross out the squares listed, and place a cat wherever a step says so.
- The Yellow region has only one open square left: R2C1. Put a cat there.
- Wherever the cat in the Red region ends up, it rules out R5C3. Cross that square out.
- Wherever the cat in the Green region ends up, it rules out R4C6. Cross that square out.
- Wherever the cat in the Teal region ends up, it rules out R1C4. Cross that square out.
- Wherever the cat in the Orange region ends up, it rules out R6C3. Cross that square out.
- Wherever the cat in the Blue region ends up, it rules out R5C5. Cross that square out.
- Wherever the cat in the Green region ends up, it rules out R3C4. Cross that square out.
- Wherever the cat in the Teal region ends up, it rules out R1C3. Cross that square out.
- Wherever the cat in the Orange region ends up, it rules out R4C2 and R4C4. Cross those squares out.
- Wherever the cat in row 4 ends up, it rules out R5C4. Cross that square out.
- Column 4 has only one open square left: R6C4. Put a cat there.
- The Red region has only one open square left: R5C2. Put a cat there.
- The Orange region has only one open square left: R3C3. Put a cat there.
- The Green region has only one open square left: R4C5. Put a cat there.
- The Teal region has only one open square left: R1C6. Put a cat there.
About this puzzle
Where to start: the Yellow region is a single square, so its cat is already decided. Its 6 color regions range from 1 square (Yellow) to 9 squares. It can be solved in 15 deduction steps using "wherever it goes" eliminations.
Start with the region that is a single square -- its cat has nowhere else to go. Cross out that cat's whole row, column and neighbors, then move on to the next-smallest regions: with only a couple of squares each, they leave very little room.
Stuck? Open the step-by-step solution below -- each step names the row, column or color involved, so you can use it as a hint and then finish the puzzle yourself.