Why is it in binary heap whenever the root is removed then the rightmost element of last level is replaced by the root?

In binary heap, whenever the root is removed then the rightmost element of last level is replaced by the root. Why? Answer:To make sure that it is still complete binary tree.

What is the root of a heap?

In a heap the highest (or lowest) priority element is always stored at the root, hence the name “heap”. A heap is not a sorted structure and can be regarded as partially ordered. As you see from the picture, there is no particular relationship among nodes on any given level, even among the siblings.

What element is usually at the root of a heap or binary heap?

A Binary Heap is a Complete Binary Tree. A binary heap is typically represented as an array. The root element will be at Arr[0].

What happens when you remove the root of a heap?

The element with the highest priority is removed from the priority queue. When deleting the root node, the last node becomes the new root node. The root element might not be in the correct spot on the min-heap. Since 48 is larger than its children, it needs to trickle down into the correct position.

What is complexity of adding an element to the heap?

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).

Why binary tree is not a heap?

The Heap differs from a Binary Search Tree. The BST is an ordered data structure, however, the Heap is not. In computer memory, the heap is usually represented as an array of numbers. Similarly, the main rule of the Max-Heap is that the subtree under each node contains values less or equal than its root node.

How do I remove an element from heap?

Process of Deletion:

1. Replace the root or element to be deleted by the last element.
2. Delete the last element from the Heap.
3. Since, the last element is now placed at the position of the root node. So, it may not follow the heap property. Therefore, heapify the last node placed at the position of root.