Solution: Implement Queue Using Stacks

Explore how to implement a queue data structure using two stacks that handle push, pop, peek, and empty operations. Understand preserving FIFO order with stack operations and analyze the time and space complexities involved in this approach.

We'll cover the following...

Statement
Solution
- Time complexity
- Space complexity

Statement

Design a custom queue, MyQueue, using only two stacks. Implement the Push(), Pop(), Peek(), and Empty() methods:

Void Push(int x): Pushes element to the back of the queue.
Int Pop(): Removes and returns the element from the front of the queue.
Int Peek(): Returns the element at the front of the queue.
Boolean Empty(): Returns TRUE if the queue is empty. Otherwise FALSE.

You are required to only use the standard stack operations, which means that only the Push() to top, Peek() and Pop() from the top, Size(), and Is Empty() operations are valid.

Note: In some interview questions, Void Push(int x) and Int Pop() might be referred to as Void Enqueue(int x) and Int Dequeue(), respectively.

Constraints:

$1 <=$ x $<= 100$
A maximum of $100$ ...