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150. Evaluate Reverse Polish Notation

Evaluate the value of an arithmetic expression in Reverse Polish Notation.

Valid operators are +, -, *, /. Each operand may be an integer or another expression.

Note:

  • Division between two integers should truncate toward zero.
  • The given RPN expression is always valid. That means the expression would always evaluate to a result and there won't be any divide by zero operation.

Example 1:

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

Example 2:

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

Example 3:

Input: ["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

Solutions (Rust)

1. Stack

impl Solution {
    pub fn eval_rpn(tokens: Vec<String>) -> i32 {
        let mut nums: Vec<i32> = Vec::new();
        for token in tokens {
            if ["+", "-", "*", "/"].contains(&token.as_str()) {
                let temp1 = nums.pop().unwrap();
                let temp2 = nums.pop().unwrap();
                match token.as_str() {
                    "+" => nums.push(temp2 + temp1),
                    "-" => nums.push(temp2 - temp1),
                    "*" => nums.push(temp2 * temp1),
                    "/" => nums.push(temp2 / temp1),
                    _ => (),
                }
            } else {
                nums.push(token.parse().unwrap());
            }
        }
        nums.pop().unwrap()
    }
}