Question

Identify the correct definition of the maxheappercolateup() function.

a) maxheappercolateup(node, heaparray)
b) maxheappercolateup(node, array)
c) maxheappercolateup(nodeindex, heaparray)
d) maxheappercolateup(parentindex, heaparray)

Answer 1

The correct definition for the maxHeapPercolateUp() function is option c) maxHeapPercolateUp(nodeIndex, heapArray). It's used to maintain the max heap property in a heap data structure after a new element insertion.

Step-by-step explanation:

The correct definition of the maxHeapPercolateUp() function is c) maxHeapPercolateUp(nodeIndex, heapArray). This function is used in the context of heap data structures, specifically a max heap, to adjust the positions of elements to maintain the max heap property after the insertion of a new element. When a new element is added to a heap, it may violate the max heap property which requires that the value of the parent node be larger than the values of its children. The maxHeapPercolateUp() function compares the newly added element with its parent and swaps them if the child's value is larger, continuing the process until the heap property is restored or the element reaches the root of the heap.

Here is how the maxHeapPercolateUp() function typically works in pseudocode:

function maxHeapPercolateUp(nodeIndex, heapArray):
while nodeIndex > 0 and heapArray[parentIndex] < heapArray[nodeIndex]:
swap(heapArray[parentIndex], heapArray[nodeIndex])
nodeIndex = parentIndex