Implement Stack Using Queues

To solve this coding challenge, we need to simulate the behavior of a LIFO (Last-In-First-Out) stack using only two queues. The challenge involves creating a class,
MyStack
, that provides the typical stack operations:
push
,
pop
,
top
, and
empty
. Each operation must be implemented only with standard queue operations: enqueue (add to back), dequeue (remove from front), size, and check for empty.
Let’s start by elaborating on how to achieve this step-by-step for each method:
# Explanation
  1. Initialization (
    __init__
    )
    :
    • We need to initialize two queues. For simplicity, let's name them
      primaryQueue
      and
      secondaryQueue
      . We use these two queues to manage elements in a way that simulates stack behavior.
  2. Push Operation :
    • When pushing an element, we can enqueue it to the
      primaryQueue
      .
    • However, to maintain the LIFO property, we must transfer all elements to the
      secondaryQueue
      , push the new element to
      primaryQueue
      , and then return all elements back from
      secondaryQueue
      to
      primaryQueue
      .
  3. Pop Operation :
    • The pop operation should remove and return the front element of
      primaryQueue
      because, after rearranging during the push, the front of the queue simulates the top of a stack.
  4. Top Operation :
    • To get the top element, we simply return the front element of
      primaryQueue
      . Since the queue is already rearranged whenever we push, this will yield the correct stack top.
  5. Empty Operation :
    • The stack is empty if and only if
      primaryQueue
      is empty. Thus, we return whether
      primaryQueue
      is empty.
    Detailed Steps in Pseudocode
    Below is the detailed pseudocode for each method:
                                                
    # This is the class definition for MyStack
    class MyStack:
    
    # Constructor to initialize the queues
    def initialize():
    primaryQueue = []
    secondaryQueue = []
    
    # Method to push an element onto the stack
    def push(element):
    # Push element to secondaryQueue
    secondaryQueue.enqueue(element)
    
    # Transfer all elements from primaryQueue to secondaryQueue
    while not primaryQueue.is_empty():
    secondaryQueue.enqueue(primaryQueue.dequeue())
    
    # Swap names of primaryQueue and secondaryQueue
    tempQueue = primaryQueue
    primaryQueue = secondaryQueue
    secondaryQueue = tempQueue
    
    # Method to pop the top element from the stack
    def pop():
    # If primaryQueue is not empty, dequeue and return the front element
    if not primaryQueue.is_empty():
    return primaryQueue.dequeue()
    else:
    return None  # Or appropriate error/indicator
    
    # Method to get the top element of the stack
    def top():
    # Return the front element of primaryQueue without dequeuing it
    if not primaryQueue.is_empty():
    return primaryQueue.front()
    else:
    return None  # Or appropriate error/indicator
    
    # Method to check if the stack is empty
    def is_empty():
    # Return whether primaryQueue is empty
    return primaryQueue.is_empty()
    
                                            
    Step-by-Step Explanation:
  6. Initialization (
    initialize
    )
    :
    • Two empty lists act as queues
      primaryQueue
      and
      secondaryQueue
      .
  7. Push (
    push
    ) operation
    :
    • The element is first enqueued to
      secondaryQueue
      to keep it at the front.
    • All remaining elements in
      primaryQueue
      are moved to
      secondaryQueue
      .
    • This swap ensures the most recently added element is always positioned correctly for LIFO behavior.
  8. Pop (
    pop
    ) operation
    :
    • Directly dequeues from
      primaryQueue
      , which returns the top of the stack due to our rearrangement during
      push
      .
  9. Top (
    top
    ) operation
    :
    • Provides access to the front of
      primaryQueue
      without removing it, revealing the top stack element.
  10. Empty (
    is_empty
    ) operation
    :
    • Simply checks if
      primaryQueue
      is empty to determine if the stack is empty.
In implementing this, the essence is to understand the rearrangement process during a push to ensure the stack operates correctly. This allows passing all operations through a queue while maintaining stack behavior.