Question

Consider the process of inserting an element into a Max Heap, where the Max Heap is represented by an array. Suppose we perform a binary search on the path from the new leaf to the root to find the position for the newly inserted element, the number of comparisons performed is _____

Answer 1

Performing a binary search on the path from the new leaf to the root helps to find the position for the newly inserted element efficiently in a Max Heap represented by an array. The number of comparisons performed during this process is equal to the height of the heap, which can be determined by log2(n+1).

Step-by-step explanation:

When inserting an element into a Max Heap represented by an array, performing a binary search on the path from the new leaf to the root helps to find the position for the newly inserted element efficiently.

To calculate the number of comparisons performed during this process, we need to consider the height of the heap. The height of a Max Heap with 'n' elements can be calculated as log2(n+1).

Therefore, the number of comparisons performed during the binary search process is equal to the height of the heap, which can be determined by log2(n+1).