原题链接在这里:https://leetcode.com/problems/basic-calculator/

题目:

Implement a basic calculator to evaluate a simple expression string.

The expression string may contain open ( and closing parentheses ), the plus + or minus sign -, non-negative integers and empty spaces .

You may assume that the given expression is always valid.

Some examples:

"1 + 1" = 2
" 2-1 + 2 " = 3
"(1+(4+5+2)-3)+(6+8)" = 23 

题解:

思路:1. 遇到数字位,看后一位是否为数字,若是位数字,当前位需要进十.

2. 开始设sign = 1,若遇到 ' - ', sign 改为 -1,若遇到 '+',sign改回1.

3. 遇到 '(', 压栈,先压之前的res,后压sign,然后初始化res和sign.

4. 遇到')' ,出栈,当前res先乘pop() 出来的 sign,再加上pop()出来的之前结果.

5. Encountering space, just continue.

Note:1.遇到数字时需要生成一个新的cur 用来存储当前数,随后再用cur求res,不能直接求res, '-' 时会出问题.

Time Complexity: O(s.length()).

Space: O(s.length()), stack space.

AC Java:

 public class Solution {
public int calculate(String s) {
if(s == null || s.length() == 0){
return -1;
}
int res = 0;
int sign = 1;
Stack<Integer> stk = new Stack<Integer>();
for(int i = 0; i<s.length(); i++){
char c = s.charAt(i);
if(Character.isDigit(c)){
int cur = (int)(c-'0');
while(i+1 < s.length() && Character.isDigit(s.charAt(i+1))){
cur = cur*10 + (int)(s.charAt(i+1) - '0');
i = i+1;
}
res += sign*cur;
}else if(c == '-'){
sign = -1;
}else if(c == '+'){
sign = 1;
}else if(c == '('){
stk.push(res);
res = 0;
stk.push(sign);
sign = 1;
}else if(c == ')'){
res = res*stk.pop() + stk.pop();
}
}
return res;
}
}

类似Evaluate Reverse Polish Notation.

跟上Basic Calculator II.

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