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solutions/227. Basic Calculator II.md
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# [227. Basic Calculator II](https://leetcode.com/problems/basic-calculator-ii/)
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# 思路
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计算一个简单的算术表达式的值,表达式只包含数字、空格、加减乘除。 此题的难点就在于乘除应该优先计算。
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由于乘除优先,所以我们使用一个栈保存计算乘除后的结果,还需要用一个标记记录当前数字前的运算符:
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* 若当前数字之前的符号是加,那么把当前数字压入栈中;
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* **若当前数字之前的符号是减,那么把当前数字的相反数压入栈中;**
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* 若当前数字之前的符号是乘或除,那么从栈顶取出一个数字和当前数字进行乘或除的运算,再把结果压入栈中。
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这样完成一遍遍历后,所有的乘或除都运算完了,再把栈中所有的数字都加起来就是最终结果了。
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# C++
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``` C++
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class Solution {
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public:
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int calculate(string s) {
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int res = 0, num = 0, n = s.size();
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char op = '+';
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stack<int>stk;
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for(int i = 0; i < n; i++){
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if(s[i] >= '0' && s[i] <= '9')
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num = 10 * num + (int)(s[i] - '0');
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if(i == n - 1 || s[i] == '+' || s[i] == '-' || s[i] == '*' || s[i] == '/'){
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if(op == '+') stk.push(num);
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else if(op == '-') stk.push(-1*num);
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else{ // * or /
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int tmp = stk.top(); stk.pop();
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if(op == '*') stk.push(tmp * num);
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else stk.push(tmp / num);
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}
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num = 0;
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op = s[i];
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}
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}
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while(!stk.empty()){
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res += stk.top();
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stk.pop();
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}
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return res;
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}
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};
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```
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