mplement a first in first out (FIFO) queue using only two stacks. The implemented queue should support all the functions of a normal queue (push, peek, pop, and empty).
Implement the MyQueue class:

• void push(int x) Pushes element x to the back of the queue.
• int pop() Removes the element from the front of the queue and returns it.
• int peek() Returns the element at the front of the queue.
• boolean empty() Returns true if the queue is empty, false otherwise.
  Notes:
• You must use only standard operations of a stack, which means only push to top, peek/pop from top, size, and is empty operations are valid.
• Depending on your language, the stack may not be supported natively. You may simulate a stack using a list or deque (double-ended queue) as long as you use only a stack's standard operations.
  Example1:

Input
["MyQueue", "push", "push", "peek", "pop", "empty"]
[[], [1], [2], [], [], []]
Output
[null, null, null, 1, 1, false]

Explanation
MyQueue myQueue = new MyQueue();
myQueue.push(1); // queue is: [1]
myQueue.push(2); // queue is: [1, 2] (leftmost is front of the queue)
myQueue.peek(); // return 1
myQueue.pop(); // return 1, queue is [2]
myQueue.empty(); // return false

Constraints:

• 1 <= x <= 9
• At most 100 calls will be made to push, pop, peek, and empty.
• All the calls to pop and peek are valid.

这道题也可以采用225题Implement Stack Using Queues那样的方法，但是时间复杂度不是最佳。更好的办法是准备两个栈，一个push栈，一个pop栈。push栈用来接收所有push来的数据，pop栈用来送出pop或者peek的数据。当数据push过来需要被pop的时候，我们可以把之前在push栈里的数据加入到pop栈里，这个时候pop栈最上面的值就是当前最早进入的数据。这个倒数据的过程需要主要亮点，第一是只有在pop栈被pop空了的时候才能倒数据。第二是必须一次性把push栈里现在所有的数据都倒到pop栈里。不遵循这两点数据顺序就会混乱。这个过程中，所有的都是O(1)，只有在需要到数据的个别情况时候，是O(N)。

class MyQueue {
    Stack<Integer> pushs;
    Stack<Integer> pops;

    public MyQueue() {
        pushs = new Stack<>();
        pops = new Stack<>();
    }
    
    public void push(int x) {
        pushs.add(x);
    }
    
    public int pop() {
        pushsToPops();
        return pops.pop();
    }
    
    public int peek() {
        pushsToPops();
        return pops.peek();
    }
    
    public boolean empty() {
        return pushs.empty() && pops.empty();
    }
    
    private void pushsToPops() {
        if (pops.empty()) {
            while (!pushs.empty()) {
                pops.add(pushs.pop());
            }
        }
    }
}

/**
 * Your MyQueue object will be instantiated and called as such:
 * MyQueue obj = new MyQueue();
 * obj.push(x);
 * int param_2 = obj.pop();
 * int param_3 = obj.peek();
 * boolean param_4 = obj.empty();
 */