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# Heap Sort Algorithm Assignment Help

A heap is also called the priority queue and can be symbolized with a binary tree using the following properties:

**Structure property**: The heap is a totally filled binary tree except for the bottom row that is filled from left to right

**Heap Order property**: For every node x in the heap, the parent associated with x more than or even equal to the value associated with x.

## HeapSort Algorithm:

- Build Heap – O(n)
- Build binary tree getting N items as input, making the heap structure property is held, in other words, build a complete binary tree.
- Heapify the binary tree making sure the binary tree satisfies the Heap Order property.

- Perform n deleteMax operations – O(log(n))
- Delete the maximum element within the heap – that is the root node, as well as place this element at the end of the sorted array.

## Heap Sort Algorithm Assignment Help Through Online Tutoring and Guided Sessions at MyAssignmentHelp

### Heap Sort Property (Max and Min):

- Max-Heap
- For each node eliminating the root, value is at most that of its parent: A[ parent [i] ] ³ A[i]

- Largest element is stored at the root.
- In any kind of subtree, no values tend to be larger than the value stored from subtree root.
- Min-Heap
- For each node eliminating the root, value is at minimum which associated with it's parent: A[ parent [i] ] £ A[i]

- Smallest element is stored at the root.
- In any kind of subtree, no values tend to be smaller than the value stored at subtree root

### Heap Sort Height:

- Height of a node in a tree: the number of edges on the greatest easy downwards path in the node to a leaf.
- Height of a tree: the height of the root.
- Height of a heap: [lg n]
- Basic procedures on the heap run in O(lg n) time

### Heap Sort Procedures for Sorting:

MaxHeapify | O(lg n) |

BuildMaxHeap | O(n) |

HeapSort | O(n lg n) |

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