In the worst case, what is the time complexity of Merge Sort?

In the worst case, what is the time complexity of Merge Sort?

Step 1: Understand that Merge Sort is a sorting algorithm that works by dividing an array into smaller parts.
Step 2: Realize that in each step, the array is split into two halves until each part has only one element.
Step 3: Note that splitting the array takes log(n) steps because you keep dividing by 2.
Step 4: After splitting, you need to merge the parts back together, which takes linear time, O(n), for each level of division.
Step 5: Combine the two parts: Since you have log(n) levels of division and each level takes O(n) time to merge, the total time is O(n log n).
Step 6: Conclude that in the worst case, Merge Sort will always take O(n log n) time to sort an array.

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