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Double-Ended Queues

Explore the concept of double-ended queues or deques that allow insertion and deletion from both ends, making them versatile data structures. Learn how to implement deques efficiently in Go using the container/list package and understand their application in algorithmic problems like sliding window maximum and shortest path search. This lesson helps you understand the benefits of deques over regular queues and stacks, including their time complexity and practical use cases.

A deque stands for a double-ended queue. It is a more flexible version of a queue that allows insertion and deletion from both the front and the rear.

In a normal queue, insertion happens only at the rear and deletion happens only at the front. In a deque, both ends are fully active.

Visualization of a deque
Visualization of a deque

This makes the deque a generalization that can behave like a queue, a stack, or something in between, depending on how it is used.

A deque is useful when a problem needs controlled access to both ends of the structure. It appears in sliding window problems, palindrome checking, scheduling, and caching systems.

Example

To understand how a deque works, consider the following example. If a deque currently contains:

A deque with 3 elements
A deque with 3 elements

After inserting 88 at the front, the deque becomes:

Inserting an element at the front of a deque
Inserting an element at the front of a deque

After inserting 91 at the rear, the deque becomes:

Inserting an element at the rear of a deque
Inserting an element at the rear of a deque

After removing 88 from the front, the deque becomes:

Removing an element from the front of a deque
Removing an element from the front of a deque

After removing 91 from the rear, the deque becomes:

Removing an element from the rear of a deque
Removing an element from the rear of a deque

This two-sided behavior is what makes the deque more versatile than a regular queue. ...