[LeetCode] Evaluate Reverse Polish Notation, Solution-优快云博客

本文介绍了一种使用栈的数据结构解决逆波兰表达式求值问题的方法。通过遍历输入的字符串列表，遇到数字将其压入栈中，遇到运算符则从栈中弹出两个数字进行计算，并将结果压回栈内。最终栈顶元素即为表达式的值。

Evaluate the value of an arithmetic expression in Reverse Polish Notation.
Valid operators are +, -, *, /. Each operand may be an integer or another expression.
Some examples:

  ["2", "1", "+", "3", "*"] -> ((2 + 1) * 3) -> 9
  ["4", "13", "5", "/", "+"] -> (4 + (13 / 5)) -> 6

[Thoughts]

对于逆波兰式，一般都是用栈来处理，依次处理字符串，

如果是数值，则push到栈里面

如果是操作符，则从栈中pop出来两个元素，计算出值以后，再push到栈里面，

则最后栈里面剩下的元素即为所求。

[Code]

1:       int evalRPN(vector<string> &tokens) {   
2:            stack<int> operand;   
3:            for(int i =0; i< tokens.size(); i++)   
4:            {   
5:                 if ((tokens[i][0] == '-' && tokens[i].size()>1) //negative number  
6:                           || (tokens[i][0] >= '0' && tokens[i][0] <= '9')) //positive number  
7:                 {   
8:                      operand.push(atoi(tokens[i].c_str()));   
9:                      continue;  
10:                 }  
11:                 int op1 = operand.top();  
12:                 operand.pop();  
13:                 int op2 = operand.top();  
14:                 operand.pop();  
15:                 if(tokens[i] == "+") operand.push(op2+op1);  
16:                 if(tokens[i] == "-") operand.push(op2-op1);  
17:                 if(tokens[i] == "*") operand.push(op2*op1);  
18:                 if(tokens[i] == "/") operand.push(op2/op1);  
19:            }  
20:            return operand.top();  
21:       }