Consider the mergesort algorithm. Which of the following is true?It's expected to run much faster on sorted inputIt's expected to run much faster on reverse sorted inputIt's expected to run much faster on randomized inputIt's expected to run in about the same amount of time on each of the above input types
Question
Consider the mergesort algorithm. Which of the following is true?It's expected to run much faster on sorted inputIt's expected to run much faster on reverse sorted inputIt's expected to run much faster on randomized inputIt's expected to run in about the same amount of time on each of the above input types
Solution
The mergesort algorithm is a divide and conquer algorithm that splits the input into two halves, sorts them separately, and then merges them. This process is recursively done until the list is sorted.
The time complexity of mergesort is O(n log n) in all three cases (worst, average, and best) as mergesort always divides the array into two halves and takes linear time to merge two halves.
Therefore, the statement "It's expected to run in about the same amount of time on each of the above input types" is true.
Mergesort does not run faster on sorted input, reverse sorted input,
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