Concept of Doubly Ended Queue


Doubly Ended Queue (Deque): A deque is a data structure that allows insertion and deletion of elements from both ends (front and rear). It is a generalized form of a queue.
Deques are widely used in scenarios where elements need to be accessed or modified from both ends efficiently.

Efficiently manage elements from both ends of the queue.

Types of Deques:

  • Input-restricted deque: Insertion is allowed only at one end, but deletion is allowed at both ends.
  • Output-restricted deque: Deletion is allowed only at one end, but insertion is allowed at both ends.

  • Operations on Deque:

    • Insert at front: Add an element to the front of the deque.
    • Insert at rear: Add an element to the rear of the deque.
    • Delete from front: Remove an element from the front of the deque.
    • Delete from rear: Remove an element from the rear of the deque.
    • Peek front: Access the front element without removing it.
    • Peek rear: Access the rear element without removing it.

    Applications:

    • Implementing sliding window problems.
    • Palindrome checking.
    • Job scheduling and task management.

    Advantages:

    • Flexible operations from both ends.
    • Efficient for certain algorithms and use cases.

    Disadvantages:

    • Requires more memory compared to a simple queue.
    • Implementation can be complex for certain operations.

    Time Complexity:

    • Insertion and deletion at both ends: O(1).
    • Accessing elements: O(n) in a linear deque.