What is the time complexity for finding the minimum element from a minimum heap?

The time complexity to find the minimum element in a min-heap is O(1) , that is the primary purpose of such a container. It was literally made to find the smallest (or largest) element in constant time. The operation that is O(logn) is insertion.

Can you find the maximum in a min-heap in O log n time?

The maximum element in a min-heap can be anywhere in the bottom level of the heap. There are up to n/2 elements in the bottom level, so finding the maximum can take up to O(n) time.

What is the complexity of Max_heapify process with N elements in the heap?

MAX-HEAP-INSERT Then it calls HEAP-INCREASE-KEY to set the key of this new node to its correct value and maintain the max-heap property. The running time of MAX-HEAP-INSERT on an n-element heap is O(lg n).

What will be the time complexity to find the 5th smallest element in the min-heap?

The total time complexity will be O(k2).

What is the time complexity of finding the minimum number in this heap array?

O(n)
The correct answer is O(n). In each step you need traverse both left and right sub-trees in order to search for the minimum element. In effect, this means that you need to traverse all elements to find the minimum.

What is the time complexity of finding the smallest element from a binary max heap?

We can check all the nodes in the max heap to get the minimum element. Note that this approach works on any binary tree and does not makes use of any property of the max heap. It has a time and space complexity of O(n).

How much time it takes to insert an element into a max heap or min heap which already contain N elements?

The worst case time complexity for insertion in a binary heap is O(Logn) (Refer Wiki). So inserting n elements in a heap of size n should take Θ(nlogn) time.

How do I add elements to min heap?

1. First Insert 3 in root of the empty heap:
2. Next Insert 1 at the bottom of the heap.
3. Swap the child node (1) with the parent node (3) , because 1 is less than 3.
4. Next insert 6 to the bottom of the heap, and since 6 is greater than 1, no swapping needed.

What is time complexity of creating min binary heap using n elements?

The number of operations required depends only on the number of levels the new element must rise to satisfy the heap property. Thus, the insertion operation has a worst-case time complexity of O(log n). For a random heap, and for repeated insertions, the insertion operation has an average-case complexity of O(1).