Question

Give an O(n log k)-time algorithm that uses a min-heap of size no more than k to merge k SORTED lists into one sorted list, where n is the total number of elements in all input lists. Give your algorithmic idea and pseudocode and explain why your algorithm has a time cost of O(n log k). Explain how you will use your algorithm for mergesort if the mergesort has a setting of k-way splitting.

Name: give an on log k time algorithm that uses a min heap of size no more than k to merge k sorted lists into one sorted list where n is the total number of elements in all input lists give your 56484
Uploaded: 2023-07-25T15:18:39-08:00
Duration: 1 min 49 s
Channel: Supreeta N
Description: give an on log k time algorithm that uses a min heap of size no more than k to merge k sorted lists into one sorted list where n is the total number of elements in all input lists give your 56484

          Give an O(n log k)-time algorithm that uses a min-heap of size no more than k to merge k SORTED lists into one sorted list, where n is the total number of elements in all input lists. Give your algorithmic idea and pseudocode and explain why your algorithm has a time cost of O(n log k). Explain how you will use your algorithm for mergesort if the mergesort has a setting of k-way splitting.

Added by Anthony C.

Computer Science and Information Technology

Trishna Knowledge Systems 2018 Edition

Instant Answer

Solved by Expert Supreeta N

07/25/2023

Step 1

We can start by inserting the first element from each list into the min-heap. Then, we can repeatedly extract the minimum element from the min-heap and insert the next element from the list that the minimum element belonged to, until all elements have been Show more…

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Give an O(n log k)-time algorithm that uses a min-heap of size no more than k to merge k SORTED lists into one sorted list, where n is the total number of elements in all input lists. Give your algorithmic idea and pseudocode and explain why your algorithm has a time cost of O(n log k). Explain how you will use your algorithm for mergesort if the mergesort has a setting of k-way splitting.