How to play

  • The variables represents unique integers ranging from 1 to the number of variables;
  • Multiplication is implicit: AB means A times B, or A * B;
  • Based on the clues (equations and inequations), use the grid to create relations between variables and values:
    • Click once on a square to mark that value as false;
    • Click twice to assign the chosen value to the variable;
    • Click three times to clear the square.
  • The color of a clue changes after you assign values to all of its variables:
    • GREEN means that the statement is true;
    • RED means that the statement is false.
  • Click on a clue to mark it as used;
  • The game ends when all values are correctly assigned to the variables.

Tips

  • Figuring out which variables can't have the lowest or the highest values is a good starting point, e.g, A > B shows that A ≠ 1;
  • Analyzing the hypothetical equation C + D = 4, we can make the following statements:
  • Another quick tip: A = 2B means that A is even;
  • Don't be afraid of using pen and paper. Some puzzles might require it.

More 6x6 puzzles

  • if D ≠ 5 then E < 1
  • if D + F ≤ 9 then A + C ≤ 8
  • if E + F ≤ 4 then A ≠ 2
  • if D ≠ 6 then F ≤ 2
  • if B ≥ 5 then C + D ≤ 5
  • if F ≤ 4 then A ≤ 5
  • if D > 3 then A ≥ 4
  • if A + B ≤ 11 then C + E ≤ 8
  • if F ≠ 2 then B + E ≤ 6

Solve

  • if B ≠ 2 then C + F ≤ 8
  • if A ≠ 6 then D ≤ 4
  • if B + E ≤ 3 then A + F ≤ 6
  • if C + F ≤ 7 then B ≤ 1
  • if B + C ≤ 10 then D < 2
  • if F ≠ 1 then B ≥ 5
  • if E ≠ 3 then C + F ≤ 4
  • if C ≤ 6 then A < 2

Solve

  • A ≤ 1 if and only if B ≠ 5
  • C ≥ 4 if and only if A + B ≤ 10
  • B < 1 if and only if E + F ≤ 4
  • A + D ≤ 11 if and only if F < 5
  • E ≤ 3 if and only if B + F ≤ 8
  • B > 4 if and only if A + F ≤ 11
  • E ≠ 4 if and only if B < 2

Solve

5

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