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# AI solution for JavaScript Coding Question on BFE.dev 108. Implement a Stack by using Queue

One possible solution is using two queues. Let's call them `queue1` and `queue2`. The idea is to use `queue1` to store the elements of the stack, and `queue2` as a temporary storage for the elements when we need to pop or peek the stack.

Initially, both queues are empty. Here's how we implement each method of the `Stack` class:

``class Stack {  constructor() {    this.queue1 = new Queue();    this.queue2 = new Queue();  }  push(element) {    this.queue1.enqueue(element);  }  peek() {    // Move all elements from queue1 to queue2, except the last one.    // The last one is the top element of the stack.    while (this.queue1.size() > 1) {      this.queue2.enqueue(this.queue1.dequeue());    }    const top = this.queue1.peek(); // Get the last element of queue1    // Move all elements back to queue1    while (this.queue2.size() > 0) {      this.queue1.enqueue(this.queue2.dequeue());    }    return top;  }  pop() {    // Move all elements from queue1 to queue2, except the last one.    while (this.queue1.size() > 1) {      this.queue2.enqueue(this.queue1.dequeue());    }    const top = this.queue1.dequeue(); // Remove the last element of queue1    // Move all elements back to queue1    while (this.queue2.size() > 0) {      this.queue1.enqueue(this.queue2.dequeue());    }    return top;  }  size() {    return this.queue1.size();  }}``

Let's explain how each method works:

• `push()`: It simply enqueues the element to the `queue1`, which means pushing the element to the top of the stack.
• `peek()`: It extracts the last element of `queue1`, which is the top element of the stack, and returns it. To do that, it first moves all elements from `queue1` to `queue2`, except the last one, which is saved in a variable called `top`. Then it moves all elements back to `queue1`, so that the stacks remains unchanged.
• `pop()`: It extracts the last element of `queue1`, which is the top element of the stack, and removes it from `queue1`. To do that, it follows the same procedure as `peek()`, but it also removes the last element from `queue1`.
• `size()`: It returns the size of `queue1`, which is the size of the stack.

Note that this solution uses two queues, but always keeps only one of them with at most one element. Therefore, the time complexity of each method is O(n) in the worst case, where n is the size of the stack. However, in the typical case, the time complexity is O(1) for push() and size(), and O(2n) for pop() and peek(), which is still linear but much faster than a solution that copies all elements to a new array every time pop() or peek() is called.