What is the base case in the Merge Sort algorithm when it is solved recursively?
Question
What is the base case in the Merge Sort algorithm when it is solved recursively?
Solution
The base case in the Merge Sort algorithm when it is solved recursively is when the length of the array is 1 or less. At this point, the array is already sorted by definition, so no further action is needed. Here are the steps:
-
Check if the length of the array is 1 or less. If it is, return the array as it is already sorted.
-
If the length of the array is more than 1, divide the array into two halves.
-
Recursively apply the Merge Sort algorithm to each half.
-
Once the two halves are sorted, merge them together in sorted order to produce the final sorted array.
This process continues until all sub-arrays are of length 1 or less, at which point they are merged back together in sorted order. This is the base case for the recursive solution of the Merge Sort algorithm.
Similar Questions
What is the base case in the Merge Sort algorithm when it is solved recursively?Optionsn=0n=1A list of length oneAn empty list
Explain the significance of merge sort
Write and explain the recurrence relation of Merge Sort.
Merge sort uses which of the following technique to implement sorting? a. searching b. greedy algorithm c. backtracking d. divide and conquer e. dynamic programming
Which of the following sorting algorithm does not use recursion?Optionsmerge sortquick sortheap sortbottom up merge sort
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.