根据 逆波兰表示法,求该后缀表达式的计算结果。
有效的算符包括 +、-、*、/ 。每个运算对象可以是整数,也可以是另一个逆波兰表达式。
说明:
示例 1:
输入:tokens = ["2","1","+","3","*"] 输出:9 解释:该算式转化为常见的中缀算术表达式为:((2 + 1) * 3) = 9
示例 2:
输入:tokens = ["4","13","5","/","+"] 输出:6 解释:该算式转化为常见的中缀算术表达式为:(4 + (13 / 5)) = 6
示例 3:
输入:tokens = ["10","6","9","3","+","-11","*","/","*","17","+","5","+"] 输出:22 解释: 该算式转化为常见的中缀算术表达式为: ((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
提示:
1 <= tokens.length <= 104tokens[i] 要么是一个算符("+"、"-"、"*" 或 "/"),要么是一个在范围 [-200, 200] 内的整数
逆波兰表达式:
逆波兰表达式是一种后缀表达式,所谓后缀就是指算符写在后面。
( 1 + 2 ) * ( 3 + 4 ) 。( ( 1 2 + ) ( 3 4 + ) * ) 。逆波兰表达式主要有以下两个优点:
1 2 + 3 4 + * 也可以依据次序计算出正确结果。
注意:本题与主站 150 题相同: https://leetcode-cn.com/problems/evaluate-reverse-polish-notation/