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Problem: Implement a Stack using Queues

Understand how to implement a LIFO stack using queues in C#. Explore methods like Push, Pop, Top, and Empty by manipulating queue operations to maintain the stack's order. This lesson helps you master using queue rotation during push to position the newest element at the front, enabling efficient stack functionality with O(n) push complexity and O(1) for other operations.

Statement

Implement a last in, first out (LIFO) stack using only queues. The implemented stack should support all the functions of a normal stack (Push, Top, Pop, and Empty).

Implement the MyStack class:

  • void Push(int x): Pushes element x to the top of the stack.

  • int Pop(): Removes the element on the top of the stack and returns it.

  • int Top(): Returns the element on the top of the stack.

  • bool Empty(): Returns true if the stack is empty, false otherwise.

Note: You must use only standard queue operations, which means only Enqueue, Peek/Dequeue from the front, Count, and empty-check operations are valid. In C#, Queue<T> supports these operations directly.

Constraints:

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