The worst case time complexity of MergeSort is O(n log n).

Here's a step-by-step explanation:

1. MergeSort is a divide and conquer algorithm that splits the input array into two halves, sorts them separately, and then merges them.

2. The splitting process takes logarithmic time, O(log n), because with each split, the size of the array is halved. This continues until the size becomes 1.

3. The merging process takes linear time, O(n), because it involves comparing elements and moving them.

4. Since these two processes are done for each element in the array, the total time complexity becomes O(n log n).

5. This is the case for all scenarios (best, average, and worst) because the array is always split into two halves regardless of the initial order of the elements.

Question

The worst case time complexity of MergeSort is O(n log n).

Here's a step-by-step explanation:

1. MergeSort is a divide and conquer algorithm that splits the input array into two halves, sorts them separately, and then merges them.

2. The splitting process takes logarithmic time, O(log n), because with each split, the size of the array is halved. This continues until the size becomes 1.

3. The merging process takes linear time, O(n), because it involves comparing elements and moving them.

4. Since these two processes are done for each element in the array, the total time complexity becomes O(n log n).

5. This is the case for all scenarios (best, average, and worst) because the array is always split into two halves regardless of the initial order of the elements.

Knowee AI · Accepted Answer

The worst case time complexity of MergeSort is O(n log n).

Here's a step-by-step explanation:

1. MergeSort is a divide and conquer algorithm that splits the input array into two halves, sorts them separately, and then merges them.

2. The splitting process takes logarithmic time, O(log n), because with each split, the size of the array is halved. This continues until the size becomes 1.

3. The merging process takes linear time, O(n), because it involves comparing elements and moving them.

4. Since these two processes are done for each element in the array, the total time complexity becomes O(n log n).

5. This is the case for all scenarios (best, average, and worst) because the array is always split into two halves regardless of the initial order of the elements.

What is the worst case time complexity of mergesort

Question

Solution

Similar Questions

Upgrade your grade with Knowee