Pulse101

Hello everyone

Today I want to share something interesting about one of the fundamental sorting algorithms: Insertion Sort

What is Insertion Sort?

Insertion sort is a simple algorithm that builds the sorted list one item at a time. It works in a way similar to arranging playing cards in your hand. Each new card is taken and placed in the correct position among the cards already sorted.

How the algorithm works:

1. Start with the first element, which is considered sorted.
2. Pick the next element (the temporary value).
3. Compare it with the elements on the left and shift any larger elements one position to the right.
4. Insert the temporary value into the correct position.
5. Repeat the process until all elements are in order.

Time complexity:

- Best case (already sorted): O(n)
- Average and worst case: O(n²)
- Space complexity: O(1) because it sorts in place.

What is time complexity ?

Time complexity is a measurement of how the runtime of an algorithm increases as the size of its input grows. It helps us understand the scalability and efficiency of algorithms, showing us how the algorithm will perform with large datasets. Big O notation (such as O(n) or O(n²)) is commonly used to express time complexity.

Why it matters:

- Very easy to understand and implement.
- Performs well for small datasets.
- Works efficiently when data is already nearly sorted.

I’ve also included an animation that shows how the algorithm operates step by step. You can see how values are taken out, shifted, and placed back into the correct position, which makes the sorting process much easier to follow than just looking at the code.