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LeetCode 解题报告(382) -- 150. Evaluate Reverse Polish Notation

Problem

Evaluate the value of an arithmetic expression in Reverse Polish Notation.

Valid operators are +, -, *, and /. Each operand may be an integer or another expression.

Note that division between two integers should truncate toward zero.

It is guaranteed that the given RPN expression is always valid. That means the expression would always evaluate to a result, and there will not be any division by zero operation.

Example 1:

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Input: tokens = ["2","1","+","3","*"]
Output: 9
Explanation: ((2 + 1) * 3) = 9

Example 2:

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Input: tokens = ["4","13","5","/","+"]
Output: 6
Explanation: (4 + (13 / 5)) = 6

Example 3:

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Input: tokens = ["10","6","9","3","+","-11","*","/","*","17","+","5","+"]
Output: 22
Explanation: ((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

Constraints:

  • 1 <= tokens.length <= 104
  • tokens [i] is either an operator: "+", "-", "*", or "/", or an integer in the range [-200, 200].

Analysis

   这道题目是逆波兰表达式的运算。题目给出的顺序已经是逆波兰表达式的形式了,而不需要我们从算术运算式转为逆波兰,所以这道题目实际上是非常简单了。逆波兰表达式的计算只需要用一个栈实现,遇到数字入栈,遇到运算符后,取栈顶的两个元素出来运算,然后再放回去,最后剩下的那个数就是结果了。

   有个细节需要注意,取栈顶两个元素出来运算时,最上面的是第二个操作数,第二上面的才是第一个操作数,注意这里的顺序不要弄错。


Solution

   无


Code

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class Solution {
public:
int evalRPN(vector<string>& tokens) {
stack<int> s;
for (auto token: tokens) {
if (token == "+" || token == "-" || token == "*" || token == "/") {
int op1 = s.top ();
s.pop ();
int op2 = s.top ();
s.pop ();

int temp = 0;
if (token == "+") {
temp = op2 + op1;
} else if (token == "-") {
temp = op2 - op1;
} else if (token == "*") {
temp = op2 * op1;
} else {
temp = op2 /op1;
}
s.push (temp);
} else {
s.push (stoi (token));
}
}
return s.top ();
}
};

Summary

   这道题目的分享到这里,感谢你的支持!

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