题目描述:
Implement the following operations of a queue using stacks.
- push(x) -- Push element x to the back of queue.
- pop() -- Removes the element from in front of queue.
- peek() -- Get the front element.
- empty() -- Return whether the queue is empty.
- You must use only standard operations of a stack -- which means only
push to top,peek/pop from top,size, andis emptyoperations are valid. - Depending on your language, stack may not be supported natively. You may simulate a stack by using a list or deque (double-ended queue), as long as you use only standard operations of a stack.
- You may assume that all operations are valid (for example, no pop or peek operations will be called on an empty queue).
解题思路:
本题比较简单,主要考察对队列和栈的理解,然后注意摆脱只能使用一个栈的思维定势就可以了
class Queue {
public:
// Push element x to the back of queue.
void push(int x) {
in.push(x);
}
// Removes the element from in front of queue.
void pop(void) {
if(out.empty())
trans();
out.pop();
}
// Get the front element.
int peek(void) {
if(out.empty())
trans();
return out.top();
}
// Return whether the queue is empty.
bool empty(void) {
return out.empty() && in.empty();
}
private:
stack<int> in, out;
void trans(){
while(!in.empty()){
out.push(in.top());
in.pop();
}
}
};
另附上 leetcode上的题解,上面有对时空复杂度进行分析,时空复杂度在本题不是很直观(这涉及到均摊复杂度的概念 Amortized Analysis ),可以看一下~
本文介绍了一种使用栈来实现队列的方法。通过两个栈分别用于入队和出队操作,实现了队列的基本功能,包括push、pop、peek和empty等操作。文章还提供了完整的代码示例,并附带了LeetCode上的题解。
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