Find the Cat #177: 8x8 Grid Puzzle (Medium)

medium

Tap a square: ✕ (ruled out) → 🐱 (cat) → clear

0 / 8 cats · 0:00
Red (15)Orange (1)Yellow (11)Green (1)Teal (10)Blue (15)Purple (6)Pink (5)

Can you place all 8 cats? One per row, one per column, one per color -- and keep them at least one square apart in every direction.

  • 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.

  1. The Orange region has only one open square left: R3C3. Put a cat there.
  2. The Green region has only one open square left: R4C8. Put a cat there.
  3. The Purple region has only one open square left: R6C7. Put a cat there.
  4. Wherever the cat in the Yellow region ends up, it rules out R1C2 and R5C1. Cross those squares out.
  5. Wherever the cat in the Teal region ends up, it rules out R1C5, R2C5 and R8C6. Cross those squares out.
  6. Wherever the cat in the Pink region ends up, it rules out R1C1, R2C1, R7C2 and R8C2. Cross those squares out.
  7. The Yellow region has only one open square left: R5C2. Put a cat there.
  8. Row 2 has only one open square left: R2C6. Put a cat there.
  9. Row 1 has only one open square left: R1C4. Put a cat there.
  10. The Blue region has only one open square left: R8C5. Put a cat there.
  11. The Pink region has only one open square left: R7C1. Put a cat there.

About this puzzle

Where to start: the Orange region is a single square, so its cat is already decided. Its 8 color regions range from 1 square (Orange) to 15 squares. It can be solved in 11 deduction steps using "wherever it goes" eliminations.

If a row and a color both have only two open squares and share them, those two lines are locked together -- neither can use squares anywhere else.

Every puzzle on this site has exactly one solution that can be reached by pure deduction. If you find yourself guessing, look again for a region or line with only a few open squares left.

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