假设我们有两个堆栈,没有其他临时变量。
是否有可能“构造”一个队列数据结构只使用两个堆栈?
假设我们有两个堆栈,没有其他临时变量。
是否有可能“构造”一个队列数据结构只使用两个堆栈?
当前回答
简单的JS解决方案**
注:我从其他人的评论中获得了一些想法
/* enQueue(q, x) 1) Push x to stack1 (assuming size of stacks is unlimited). deQueue(q) 1) If both stacks are empty then error. 2) If stack2 is empty While stack1 is not empty, push everything from stack1 to stack2. 3) Pop the element from stack2 and return it. */ class myQueue { constructor() { this.stack1 = []; this.stack2 = []; } push(item) { this.stack1.push(item) } remove() { if (this.stack1.length == 0 && this.stack2.length == 0) { return "Stack are empty" } if (this.stack2.length == 0) { while (this.stack1.length != 0) { this.stack2.push(this.stack1.pop()) } } return this.stack2.pop() } peek() { if (this.stack2.length == 0 && this.stack1.length == 0) { return 'Empty list' } if (this.stack2.length == 0) { while (this.stack1.length != 0) { this.stack2.push(this.stack1.pop()) } } return this.stack2[0] } isEmpty() { return this.stack2.length === 0 && this.stack1.length === 0; } } const q = new myQueue(); q.push(1); q.push(2); q.push(3); q.remove() console.log(q)
其他回答
下面是使用ES6语法的javascript语言解决方案。
Stack.js
//stack using array
class Stack {
constructor() {
this.data = [];
}
push(data) {
this.data.push(data);
}
pop() {
return this.data.pop();
}
peek() {
return this.data[this.data.length - 1];
}
size(){
return this.data.length;
}
}
export { Stack };
QueueUsingTwoStacks.js
import { Stack } from "./Stack";
class QueueUsingTwoStacks {
constructor() {
this.stack1 = new Stack();
this.stack2 = new Stack();
}
enqueue(data) {
this.stack1.push(data);
}
dequeue() {
//if both stacks are empty, return undefined
if (this.stack1.size() === 0 && this.stack2.size() === 0)
return undefined;
//if stack2 is empty, pop all elements from stack1 to stack2 till stack1 is empty
if (this.stack2.size() === 0) {
while (this.stack1.size() !== 0) {
this.stack2.push(this.stack1.pop());
}
}
//pop and return the element from stack 2
return this.stack2.pop();
}
}
export { QueueUsingTwoStacks };
用法如下:
index.js
import { StackUsingTwoQueues } from './StackUsingTwoQueues';
let que = new QueueUsingTwoStacks();
que.enqueue("A");
que.enqueue("B");
que.enqueue("C");
console.log(que.dequeue()); //output: "A"
这是我的解决方案在Java使用链表。
class queue<T>{
static class Node<T>{
private T data;
private Node<T> next;
Node(T data){
this.data = data;
next = null;
}
}
Node firstTop;
Node secondTop;
void push(T data){
Node temp = new Node(data);
temp.next = firstTop;
firstTop = temp;
}
void pop(){
if(firstTop == null){
return;
}
Node temp = firstTop;
while(temp != null){
Node temp1 = new Node(temp.data);
temp1.next = secondTop;
secondTop = temp1;
temp = temp.next;
}
secondTop = secondTop.next;
firstTop = null;
while(secondTop != null){
Node temp3 = new Node(secondTop.data);
temp3.next = firstTop;
firstTop = temp3;
secondTop = secondTop.next;
}
}
}
注意:在这种情况下,弹出操作非常耗时。因此,我不建议使用两个堆栈创建队列。
队列中的两个堆栈定义为stack1和stack2。
排队: euqueued的元素总是被推入stack1
出列: stack2的顶部可以被弹出,因为它是在stack2不为空时插入队列的第一个元素。当stack2为空时,我们从stack1中弹出所有元素,并将它们逐个推入stack2。队列中的第一个元素被压入stack1的底部。由于它位于stack2的顶部,所以在弹出和推入操作后可以直接弹出。
下面是相同的c++示例代码:
template <typename T> class CQueue
{
public:
CQueue(void);
~CQueue(void);
void appendTail(const T& node);
T deleteHead();
private:
stack<T> stack1;
stack<T> stack2;
};
template<typename T> void CQueue<T>::appendTail(const T& element) {
stack1.push(element);
}
template<typename T> T CQueue<T>::deleteHead() {
if(stack2.size()<= 0) {
while(stack1.size()>0) {
T& data = stack1.top();
stack1.pop();
stack2.push(data);
}
}
if(stack2.size() == 0)
throw new exception("queue is empty");
T head = stack2.top();
stack2.pop();
return head;
}
这个解决方案是从我的博客中借来的。我的博客网页上有详细的操作模拟分析。
public class QueueUsingStacks<T>
{
private LinkedListStack<T> stack1;
private LinkedListStack<T> stack2;
public QueueUsingStacks()
{
stack1=new LinkedListStack<T>();
stack2 = new LinkedListStack<T>();
}
public void Copy(LinkedListStack<T> source,LinkedListStack<T> dest )
{
while(source.Head!=null)
{
dest.Push(source.Head.Data);
source.Head = source.Head.Next;
}
}
public void Enqueue(T entry)
{
stack1.Push(entry);
}
public T Dequeue()
{
T obj;
if (stack2 != null)
{
Copy(stack1, stack2);
obj = stack2.Pop();
Copy(stack2, stack1);
}
else
{
throw new Exception("Stack is empty");
}
return obj;
}
public void Display()
{
stack1.Display();
}
}
对于每一个入队列操作,我们都将其添加到stack1的顶部。每次出队列时,我们都将stack1的内容清空到stack2中,并删除堆栈顶部的元素。出队列的时间复杂度是O(n),因为我们必须将stack1复制到stack2。队列的时间复杂度与常规堆栈相同
简单的JS解决方案**
注:我从其他人的评论中获得了一些想法
/* enQueue(q, x) 1) Push x to stack1 (assuming size of stacks is unlimited). deQueue(q) 1) If both stacks are empty then error. 2) If stack2 is empty While stack1 is not empty, push everything from stack1 to stack2. 3) Pop the element from stack2 and return it. */ class myQueue { constructor() { this.stack1 = []; this.stack2 = []; } push(item) { this.stack1.push(item) } remove() { if (this.stack1.length == 0 && this.stack2.length == 0) { return "Stack are empty" } if (this.stack2.length == 0) { while (this.stack1.length != 0) { this.stack2.push(this.stack1.pop()) } } return this.stack2.pop() } peek() { if (this.stack2.length == 0 && this.stack1.length == 0) { return 'Empty list' } if (this.stack2.length == 0) { while (this.stack1.length != 0) { this.stack2.push(this.stack1.pop()) } } return this.stack2[0] } isEmpty() { return this.stack2.length === 0 && this.stack1.length === 0; } } const q = new myQueue(); q.push(1); q.push(2); q.push(3); q.remove() console.log(q)