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, β*β, and β/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 = [β2β,β1β,β+β,β3β,β*β]
- Output: 9
- Explanation: ((2 + 1) * 3) = 9
Example 2:
- Input: tokens = [β4β,β13β,β5β,β/β,β+β]
- Output: 6
- Explanation: (4 + (13 / 5)) = 6
Example 3:
- Input: tokens = [β10β,β6β,β9β,β3β,β+β,β-11β,ββ,β/β,ββ,β17β,β+β,β5β,β+β]
- 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+β, β-β, β*β, or β/β, or an integer in the range [-200, 200].