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# Heap Assignment Help

A heap is a binary tree in which the entries of the nodes can be compared with the less than operator of a strict weak ordering. In addition, two rules are usually implemented:

- The entry contained by the node is NEVER less than the entries of the node's children
- The tree is a COMPLETE tree.

- The total running time associated with heap sort is O(n lg n) + Build-Heap(A) time, that is O(n)
- Heap sort runs on the heap data structure to enhance selection sort and make the running time asymptotically optimal
- Running time is O(n log n) such as merge sort, but unlike selection, insertion, or even bubble sorts
- Sorts in place such as insertion, selection or even bubble sorts, but unlike merge sort

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

## Definition in Data Structure

- Heap: A special form of complete binary tree which key value associated with each node isn't any smaller (larger) than the key value of its children (if any).
- Max-Heap: root node has the largest key.
- A max tree is a tree in which the key value in each node is no smaller than the key values in its children. A max heap is a complete binary tree that is also a max tree.

- A max tree is a tree in which the key value in each node is no smaller than the key values in its children. A max heap is a complete binary tree that is also a max tree.
- Min-Heap: root node has the smallest key.
- A min tree is a tree in which the key value in each node is no larger than the key values in its children. A min heap is a complete binary tree that is also a min tree.

- A min tree is a tree in which the key value in each node is no larger than the key values in its children. A min heap is a complete binary tree that is also a min tree.

### Heap Implementation

- Use binary_tree_node className
- a) node implementation is for a general binary tree
- b) but we may need to have doubly linked node

- Use arrays
- a) A heap is a complete binary tree
- b) which can be implemented more easily with an array than with the node className
- c) and do two-way links

- Root at location [0]
- Parent of the node in [i] is at [(i-1)/2]
- Children of the node in [i] (if exist) is at [2i+1] and [2i+2]

#### Example For Implementing A Heap

#### Sorting Heap Example

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