You are given an array of strings tokens that represents an arithmetic expression in a Reverse Polish Notation.

Evaluate the expression. Return an integer that represents the value of the expression.

Note that:

  • The valid operators are β€˜+’, β€˜-β€˜, β€˜*’, and β€˜/’.
  • Each operand may be an integer or another expression.
  • The division between two integers always truncates toward zero.
  • There will not be any division by zero.
  • The input represents a valid arithmetic expression in a reverse polish notation.
  • The answer and all the intermediate calculations can be represented in a 32-bit integer.

Example 1:

  • Input: tokens = [β€œ2”,”1”,”+”,”3”,”*”]
  • Output: 9
  • Explanation: ((2 + 1) * 3) = 9

Example 2:

  • Input: tokens = [β€œ4”,”13”,”5”,”/”,”+”]
  • Output: 6
  • Explanation: (4 + (13 / 5)) = 6

Example 3:

  • Input: tokens = [β€œ10”,”6”,”9”,”3”,”+”,”-11”,””,”/”,””,”17”,”+”,”5”,”+”]
  • Output: 22
  • Explanation: ((10 * (6 / ((9 + 3) * -11))) + 17) + 5
    = ((10 * (6 / (12 * -11))) + 17) + 5
    = ((10 * (6 / -132)) + 17) + 5
    = ((10 * 0) + 17) + 5
    = (0 + 17) + 5
    = 17 + 5
    = 22

Constraints:

  • 1 <= tokens.length <= 104
  • tokens[i] is either an operator: β€œ+”, β€œ-β€œ, β€œ*”, or β€œ/”, or an integer in the range [-200, 200].