evaluate-reverse-polish-notation

evaluate-reverse-polish-notation


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 '+', '-', '*', and '/'.

  • 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 = ["2","1","+","3","*"]
Output: 9
Explanation: ((2 + 1) * 3) = 9


Example 2:



Input: tokens = ["4","13","5","/","+"]
Output: 6
Explanation: (4 + (13 / 5)) = 6


Example 3:



Input: tokens = ["10","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: "+", "-", "*", or "/", or an integer in the range [-200, 200].


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