24 Game

You receive an integer array cards of length 4. You have four cards, each containing a number in the range [1, 9]. You should arrange the numbers on these cards in a mathematical expression using the operators ['+', '-', '*', '/'] and the parentheses '(' and ')' to get the value 24.

You are restricted with the following rules:

• The division operator '/' represents real division, not integer division.

  • For example, 4 / (1 - 2 / 3) = 4 / (1 / 3) = 12.

• Every operation done is between two numbers. In particular, we cannot use '-' as a unary operator.

  • For example, if cards = [1, 1, 1, 1], the expression "-1 - 1 - 1 - 1" is not allowed.

• You cannot concatenate numbers together

  • For example, if cards = [1, 2, 1, 2], the expression "12 + 12" is not valid.

Produce true if you can get such expression that evaluates to 24, and false otherwise.