Tutorials » Algorithms Tutorial » Merge Sort Algorithm

Merge Sort Algorithm

Merge sort divides a list into smaller parts, sorts them, and merges them back together.

Table of Contents

What is merge sort?

Merge sort divides a list into smaller parts, sorts them, and merges them back together. Algorithms are important for improving problem-solving skills, writing efficient programs, and preparing for coding interviews.

Before studying algorithms, it helps to understand basic programming concepts in Python or JavaScript.

How merge sort Works

  1. Start with an unsorted list.
  2. Compare values using the rules of the sorting algorithm.
  3. Move or swap values into better positions.
  4. Repeat until the list is sorted.

merge sort in Python

numbers = [5, 2, 9, 1, 3]
numbers.sort()
print(numbers)

merge sort in JavaScript

const numbers = [5, 2, 9, 1, 3];
numbers.sort(function(a, b) {
  return a - b;
});
console.log(numbers);

Time Complexity

CaseComplexity
BestDepends on algorithm
AverageUsually O(n log n) or O(n?)
WorstUsually O(n log n) or O(n?)

To understand performance better, read Time Complexity Explained and Big O Notation.

Common Mistakes

Tip: Practice algorithms in a code editor. See the best code editors and best Python IDEs.

Frequently Asked Questions

Is merge sort important?

Yes. It helps programmers solve problems efficiently and understand how code performance changes with input size.

Should beginners learn algorithms?

Yes. Beginners should learn basic searching, sorting, recursion, and Big O notation after learning programming fundamentals.

Which language is best for learning algorithms?

Python is beginner-friendly, while JavaScript is useful for web developers. Both are good for learning algorithms.