一、问题描述
根据 逆波兰表示法,求表达式的值。
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
整数除法只保留整数部分。 给定逆波兰表达式总是有效的。换句话说,表达式总会得出有效数值且不存在除数为 0 的情况。
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 <= 104 tokens[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。
平常使用的算式则是一种中缀表达式,如 ( 1 2 ) * ( 3 4 ) 。 该算式的逆波兰表达式写法为 ( ( 1 2 ) ( 3 4 ) * ) 。
逆波兰表达式主要有以下两个优点:
去掉括号后表达式无歧义,上式即便写成 1 2 3 4 * 也可以依据次序计算出正确结果。 适合用栈操作运算:遇到数字则入栈;遇到算符则取出栈顶两个数字进行计算,并将结果压入栈中。
二、问题解决
代码语言:javascript复制import java.util.Stack;
/**
* 150. 逆波兰表达式求值
*/
public class Problem150 {
public static void main(String[] args) {
// String[] tokens = new String[]{"2","1"," ","3","*"};
// String[] tokens = new String[]{"4","13","5","/"," "};
String[] tokens = new String[]{"10","6","9","3"," ","-11","*","/","*","17"," ","5"," "};
int result = evalRPN(tokens);
System.out.println(result);
}
public static int evalRPN(String[] tokens) {
Stack stack = new Stack<>();
int a,b;
for(int i=0;i
执行用时:6 ms
内存消耗:38.1 MB