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Given two max heaps of size n each, what is the minimum possible time complexity to make a one max-heap of size from elements of two max heaps?
  • a)
    O(nLogn)
  • b)
    O(nLogLogn)
  • c)
    O(n)
  • d)
    none
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Given two max heaps of size n each, what is the minimum possible time ...
We can build a heap of 2n elements in O(n) time. Following are the steps. Create an array of size 2n and copy elements of both heaps to this array. Call build heap for the array of size 2n. Build heap operation takes O(n) time.
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Most Upvoted Answer
Given two max heaps of size n each, what is the minimum possible time ...
Explanation:


To create a single max heap of size 2n from two max heaps of size n, we need to perform the following steps:

1. Merge the two heaps into a single array of size 2n.
2. Call the heapify function on the merged array to create a max heap.

Time Complexity:


1. Merging two heaps into a single array of size 2n takes O(n) time complexity.
2. Heapify function takes O(n) time complexity.

Therefore, the minimum possible time complexity to make a one max-heap of size from elements of two max heaps is O(n).

Conclusion:


Hence, option 'C' is the correct answer.
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