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 (
stack1
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
stack1
stack1
-
We achieve this by temporarily moving all existing elements in
stack1
stack2
stack1
stack2
stack1
- Popping an Element :
-
The
pop
stack1
stack1
- Peeking at the Front Element :
-
For the
peek
stack1
stack1
- Checking if the Queue is Empty :
-
To check if the queue is empty, we simply check if
stack1
- Initialization :
-
Create a class
MyQueue
-
Within the constructor, initialize two empty stacks (
stack1
stack2
- Push Operation :
-
When pushing an element
x
-
Transfer all elements from
stack1
stack2
-
Push
x
stack1
-
Transfer all elements back from
stack2
stack1
- Pop Operation :
-
Perform a pop operation on
stack1
- Peek Operation :
-
Return the top element of
stack1
- Empty Check :
-
Return
True
stack1
False
- Initialization :
-
def __init__():
-
Initialize
stack1
-
Initialize
stack2
- Push :
-
def push(x):
-
While
stack1
stack1
stack2
-
Push
x
stack1
-
While
stack2
stack2
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
True
stack1
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