Implement Queue Using Stacks
To solve this coding challenge, the fundamental idea is to implement a queue using two stacks. A stack is a LIFO (Last In First Out) data structure, but a queue requires FIFO (First In First Out) functionality. Thus, we need to use two stacks to simulate the behavior of a queue.
Explanation
Let's break down the implementation step-by-step to understand how we can simulate a queue using two stacks:- Stack Basics :
- A stack allows operations at the top (push, pop, peek).
-
We will use two stacks (
and
stack1) to implement the queue.stack2 - Pushing an Element :
-
When we want to push an element to the queue, we need to ensure that the order of the elements in
remains such that the first element pushed into
stack1remains at the bottom.stack1 -
We achieve this by temporarily moving all existing elements in
to
stack1, pushing the new element tostack2, and then moving all elements back fromstack1tostack2.stack1 - Popping an Element :
-
The
operation simply pops the top element from
popbecause we have already ensured thatstack1is maintaining the correct order for a queue.stack1 - Peeking at the Front Element :
-
For the
operation, we return the top element of
peeksince the top ofstack1represents the front of the queue.stack1 - Checking if the Queue is Empty :
-
To check if the queue is empty, we simply check if
is empty.
stack1 - Initialization :
-
Create a class
.
MyQueue -
Within the constructor, initialize two empty stacks (
and
stack1).stack2 - Push Operation :
-
When pushing an element
:
x -
Transfer all elements from
to
stack1.stack2 -
Push
onto
x.stack1 -
Transfer all elements back from
to
stack2.stack1 - Pop Operation :
-
Perform a pop operation on
and return the popped element.
stack1 - Peek Operation :
-
Return the top element of
.
stack1 - Empty Check :
-
Return
if
Trueis empty, otherwise returnstack1.False - Initialization :
-
def __init__(): -
Initialize
as an empty list.
stack1 -
Initialize
as an empty list.
stack2 - Push :
-
def push(x): -
While
is not empty, pop elements from
stack1and push them ontostack1.stack2 -
Push
onto
x.stack1 -
While
is not empty, pop elements from
stack2and push them ontostack2.stack1 - Pop :
-
def pop(): -
Pop the top element from
.
stack1 - Return the popped element.
- Peek :
-
def peek(): -
Return the top element of
.
stack1 - Empty :
-
def empty(): -
Return
if
Trueis empty, otherwise returnstack1.False
Pseudocode with Comments
// Definition of the MyQueue class
Class MyQueue:
// Constructor to initialize the stacks
def __init__():
stack1 = [] // Stack to hold elements in queue order
stack2 = [] // Temporary stack used for reordering
// Method to push an element x into the queue
def push(x):
// Transfer all elements from stack1 to stack2
while stack1 is not empty:
stack2.push(stack1.pop())
// Push the new element onto stack1
stack1.push(x)
// Transfer all elements back from stack2 to stack1
while stack2 is not empty:
stack1.push(stack2.pop())
// Method to remove and return the front element of the queue
def pop():
// Pop the top element from stack1 (front of the queue)
return stack1.pop()
// Method to return the front element of the queue without removing it
def peek():
// Return the top element of stack1
return stack1.peek()
// Method to check if the queue is empty
def empty():
// Return True if stack1 is empty, else False
return stack1 is empty