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g0101_0200.s0150_evaluate_reverse_polish_notation.readme.md Maven / Gradle / Ivy

150\. Evaluate Reverse Polish Notation

Medium

Evaluate the value of an arithmetic expression in [Reverse Polish Notation](http://en.wikipedia.org/wiki/Reverse_Polish_notation).

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

**Note** that division between two integers should truncate toward zero.

It is guaranteed that the given RPN expression is always valid. That means the expression would always evaluate to a result, and there will not be any division by zero operation.

**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]`.