What is the average time complexity of Merge Sort?

What is the average time complexity of Merge Sort?

Step 1: Understand what time complexity means. It measures how the time to complete an algorithm grows as the size of the input increases.
Step 2: Know that Merge Sort is a sorting algorithm that divides an array into smaller parts.
Step 3: Realize that Merge Sort works by repeatedly splitting the array in half until each part has one element.
Step 4: After splitting, Merge Sort combines (or merges) these parts back together in sorted order.
Step 5: The process of splitting the array takes log(n) time because you keep dividing it in half.
Step 6: Merging the parts back together takes linear time, which is O(n), because you have to look at each element.
Step 7: Combine the two parts: The total time complexity is O(n) for merging and O(log n) for splitting, resulting in O(n log n).
Step 8: Conclude that the average time complexity of Merge Sort is O(n log n).

No concepts available.