Find the Cat #156: 8x8 Grid Puzzle (Medium)

medium

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

0 / 8 cats · 0:00
Red (2)Orange (15)Yellow (12)Green (10)Teal (9)Blue (8)Purple (7)Pink (1)

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 Pink region has only one open square left: R8C6. Put a cat there.
  2. Wherever the cat in the Red region ends up, it rules out R1C8, R2C7, R3C7, R4C8, R5C8, R6C8 and 1 more. Cross those squares out.
  3. The Yellow region has only one open square left: R4C7. Put a cat there.
  4. The Red region has only one open square left: R2C8. Put a cat there.
  5. Wherever the cat in the Teal region ends up, it rules out R5C4. Cross that square out.
  6. The Purple region has only one open square left: R3C5. Put a cat there.
  7. The Teal region has only one open square left: R6C4. Put a cat there.
  8. The Blue region has only one open square left: R7C1. Put a cat there.
  9. The Green region has only one open square left: R5C2. Put a cat there.
  10. The Orange region has only one open square left: R1C3. Put a cat there.

About this puzzle

Where to start: the Pink region is a single square, so its cat is already decided. Its 8 color regions range from 1 square (Pink) to 15 squares. It can be solved in 10 deduction steps using "wherever it goes" eliminations.

A useful habit is to mark squares you have ruled out. Tap a square once for a cross and twice for a cat -- crosses cost nothing and make later deductions much easier to spot.

This is a variation of the Star Battle family of grid puzzles, sometimes also called Queens-style puzzles, with cats in place of stars.

More medium puzzles