Gain insights into array-based and linked list-based data structures, explore advanced structures like skiplists and hashing, and discover template-based collections for efficient data storage and retrieval.

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Data structures and algorithms are essential in computer science since they play a crucial role in efficient information retrieval and processing, dealing with files, storing contacts on phones, social networks and web searches.

In this course, you’ll learn about the array-based implementation of various linear data structures, stack, and queues. You’ll also learn about linked list-based implementation. Next, you’ll explore advanced data structures like skiplists and hashing. You’ll learn how to implement a variety of trees and graphs, and data structures related to bits of an integer. Toward the end of the course, you’ll learn the implementation of structures based on external storage.

After completing this course, you’ll be able to create reusable programs with template-based collections that can efficiently analyze how to optimize the storage and retrieval of very large amounts of data. Overall, this course will enhance your productivity and performance as a software developer.

Data Structures with Generic Types in Python

A `SkiplistList` implements the `List` interface using a skiplist structure. In a `SkiplistList`, $L_0$ contains the elements of the list in the order in which they appear in the list. As in a `SkiplistSSet`, elements can be added, removed, and accessed in $O(\log n)$ time.

# The length of an edge
For this to be possible, we need a way to follow the search path for the $i^{th}$ element in $L_0$. The easiest way to do this is to define the notion of the length of an edge in some list, $L_r$. We define the length of every edge in $L_0$ as $1$. The length of an edge, $e$, in $L_r$, $r > 0$, is defined as the sum of the lengths of the edges below $e$ in $L_{r−1}$. Equivalently, the length of $e$ is the number of edges in $L_0$ below $e$. See the below illustration for an example of a skiplist with the lengths of its edges shown. 

Overview

Array-Based Lists

Linked Lists

Skiplists

Hash Tables

Binary Trees

Random Binary Search Trees

Scapegoat Trees

Red-Black Trees

Heaps

Sorting Algorithms

Graphs

Data Structures for Integers

External Memory Searching

Wrap Up

SkiplistList: An Efficient Random-Access List

The length of an edge