Cats & Dogs #90: 6x6 Grid Puzzle (Easy)

easy

Tap a square: 🐱 cat → 🐶 dog → clear

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🐱 3 cats and 🐶 3 dogs in every row and column = same   × different

A 6x6 logic grid: 3 cats and 3 dogs in every row and column, no three of a kind in a row, and a few = and × clues to point the way.

  • Exactly 3 cats and 3 dogs in every row and every column.
  • Never three of the same animal in a row, across or down.
  • An = between two squares means the same animal; a × means different animals.

Step-by-step solution

Squares are written as R<row>C<column>, counting from the top-left.

  1. The = clue between R1C4 and R1C3 means they are the same. R1C4 is a cat, so R1C3 is a cat.
  2. R1C3 and R1C4 are both cats, so R1C2 must be a dog (no three in a row).
  3. The × clue between R1C2 and R2C2 means they are different. R1C2 is a dog, so R2C2 is a cat.
  4. The = clue between R2C2 and R3C2 means they are the same. R2C2 is a cat, so R3C2 is a cat.
  5. R1C3 and R1C4 are both cats, so R1C5 must be a dog (no three in a row).
  6. R2C2 and R3C2 are both cats, so R4C2 must be a dog (no three in a row).
  7. The = clue between R4C2 and R4C1 means they are the same. R4C2 is a dog, so R4C1 is a dog.
  8. The = clue between R4C1 and R3C1 means they are the same. R4C1 is a dog, so R3C1 is a dog.
  9. R4C1 and R4C2 are both dogs, so R4C3 must be a cat (no three in a row).
  10. The × clue between R4C3 and R5C3 means they are different. R4C3 is a cat, so R5C3 is a dog.
  11. The = clue between R5C3 and R5C4 means they are the same. R5C3 is a dog, so R5C4 is a dog.
  12. The × clue between R5C4 and R6C4 means they are different. R5C4 is a dog, so R6C4 is a cat.
  13. The × clue between R6C4 and R6C5 means they are different. R6C4 is a cat, so R6C5 is a dog.
  14. The × clue between R6C5 and R6C6 means they are different. R6C5 is a dog, so R6C6 is a cat.
  15. R5C3 and R5C4 are both dogs, so R5C2 must be a cat (no three in a row).
  16. R5C3 and R5C4 are both dogs, so R5C5 must be a cat (no three in a row).
  17. R1C1 and R3C1 are both dogs with one square between them, so R2C1 must be a cat.
  18. R2C1 and R2C2 are both cats, so R2C3 must be a dog (no three in a row).
  19. R3C1 and R4C1 are both dogs, so R5C1 must be a cat (no three in a row).
  20. Row 1 already has its 3 dogs, so R1C6 must be cats.
  21. Row 2 already has its 3 cats, so R2C4 and R2C6 must be dogs.
  22. Row 5 already has its 3 cats, so R5C6 must be dogs.
  23. Column 1 already has its 3 dogs, so R6C1 must be cats.
  24. Row 6 already has its 3 cats, so R6C2 and R6C3 must be dogs.
  25. Column 3 already has its 3 dogs, so R3C3 must be cats.
  26. R3C2 and R3C3 are both cats, so R3C4 must be a dog (no three in a row).
  27. R2C4 and R3C4 are both dogs, so R4C4 must be a cat (no three in a row).
  28. R4C3 and R4C4 are both cats, so R4C5 must be a dog (no three in a row).
  29. Row 4 already has its 3 dogs, so R4C6 must be cats.
  30. Column 5 already has its 3 dogs, so R3C5 must be cats.
  31. Row 3 already has its 3 cats, so R3C6 must be dogs.

About this puzzle

This 6×6 grid starts with 3 filled squares and 10 = / × clues. It can be solved in 31 steps using pairs, gaps, counts and clues.

Count as you go. Once a row or column has all of one animal, every remaining empty square in it must be the other.

Every puzzle on this site has exactly one solution that can be reached by deduction. If you are guessing, look again at the rows and columns that are nearly full.

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