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,
, that provides the typical stack operations:
,
,
, and
. Each operation must be implemented only with standard queue operations: enqueue (add to back), dequeue (remove from front), size, and check for empty.
Letβs start by elaborating on how to achieve this step-by-step for each method:
MyStack
push
pop
top
empty
# Explanation
-
Initialization (
) :
__init__ -
We need to initialize two queues. For simplicity, let's name them
and
primaryQueue. We use these two queues to manage elements in a way that simulates stack behavior.secondaryQueue - 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
, push the new element to
secondaryQueue, and then return all elements back fromprimaryQueuetosecondaryQueue.primaryQueue - Pop Operation :
-
The pop operation should remove and return the front element of
because, after rearranging during the push, the front of the queue simulates the top of a stack.
primaryQueue - Top Operation :
-
To get the top element, we simply return the front element of
. Since the queue is already rearranged whenever we push, this will yield the correct stack top.
primaryQueue - Empty Operation :
-
The stack is empty if and only if
is empty. Thus, we return whether
primaryQueueis empty.primaryQueue -
Initialization (
) :
initialize -
Two empty lists act as queues
and
primaryQueue.secondaryQueue -
Push (
) operation :
push -
The element is first enqueued to
to keep it at the front.
secondaryQueue -
All remaining elements in
are moved to
primaryQueue.secondaryQueue - This swap ensures the most recently added element is always positioned correctly for LIFO behavior.
-
Pop (
) operation :
pop -
Directly dequeues from
, which returns the top of the stack due to our rearrangement during
primaryQueue.push -
Top (
) operation :
top -
Provides access to the front of
without removing it, revealing the top stack element.
primaryQueue -
Empty (
) operation :
is_empty -
Simply checks if
is empty to determine if the stack is empty.
primaryQueue
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()