Cats & Dogs #92: 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

Use pure logic to place every cat and dog. Each row and column holds 3 of each animal, three in a row is never allowed, and the clues between squares settle the rest.

  • 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 R1C1 and R2C1 means they are the same. R1C1 is a cat, so R2C1 is a cat.
  2. The = clue between R3C3 and R3C4 means they are the same. R3C3 is a dog, so R3C4 is a dog.
  3. The × clue between R4C5 and R4C6 means they are different. R4C5 is a dog, so R4C6 is a cat.
  4. The = clue between R5C2 and R5C3 means they are the same. R5C2 is a cat, so R5C3 is a cat.
  5. R3C3 and R3C4 are both dogs, so R3C2 must be a cat (no three in a row).
  6. R3C3 and R3C4 are both dogs, so R3C5 must be a cat (no three in a row).
  7. R5C2 and R5C3 are both cats, so R5C1 must be a dog (no three in a row).
  8. R5C2 and R5C3 are both cats, so R5C4 must be a dog (no three in a row).
  9. The = clue between R5C4 and R6C4 means they are the same. R5C4 is a dog, so R6C4 is a dog.
  10. R1C1 and R2C1 are both cats, so R3C1 must be a dog (no three in a row).
  11. R3C1 and R5C1 are both dogs with one square between them, so R4C1 must be a cat.
  12. R3C2 and R5C2 are both cats with one square between them, so R4C2 must be a dog.
  13. R3C4 and R5C4 are both dogs with one square between them, so R4C4 must be a cat.
  14. R4C6 and R6C6 are both cats with one square between them, so R5C6 must be a dog.
  15. R5C4 and R5C6 are both dogs with one square between them, so R5C5 must be a cat.
  16. Row 3 already has its 3 dogs, so R3C6 must be cats.
  17. R3C6 and R4C6 are both cats, so R2C6 must be a dog (no three in a row).
  18. Row 4 already has its 3 cats, so R4C3 must be dogs.
  19. R3C3 and R4C3 are both dogs, so R2C3 must be a cat (no three in a row).
  20. R2C1 and R2C3 are both cats with one square between them, so R2C2 must be a dog.
  21. Column 1 already has its 3 cats, so R6C1 must be dogs.
  22. Column 4 already has its 3 dogs, so R1C4 and R2C4 must be cats.
  23. R2C3 and R2C4 are both cats, so R2C5 must be a dog (no three in a row).
  24. Column 6 already has its 3 cats, so R1C6 must be dogs.
  25. The × clue between R1C6 and R1C5 means they are different. R1C6 is a dog, so R1C5 is a cat.
  26. R1C4 and R1C5 are both cats, so R1C3 must be a dog (no three in a row).
  27. Row 1 already has its 3 cats, so R1C2 must be dogs.
  28. Column 2 already has its 3 dogs, so R6C2 must be cats.
  29. Column 3 already has its 3 dogs, so R6C3 must be cats.
  30. Row 6 already has its 3 cats, so R6C5 must be dogs.

About this puzzle

This 6×6 grid starts with 5 filled squares and 6 = / × clues. It can be solved in 30 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.

This kind of puzzle is known as a binary or Takuzu puzzle, here with cats and dogs and extra = / × clues.

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