1. Write a function (heapify) to satisfy the heap property from an array A. In order to implement the heapify function, please implement the below functions first: int getParent (int index); // Purpose: calculates the index of a node's parent node // Post: integer value returned to caller int getLeftChild (int index) ; // Purpose: calculates the index of node's left child // Post: integer value returned to caller int getRightChild (int index) ; // Purpose: calculates the index of a node's right child // Post: integer value returned to the user void swap (intá iteml, int& item2); // Purpose: exchanges two values // Post: iteml = old item2 and item2 = old iteml, results // returned through reference parameter 2. Write a function to build a heap (buildHeap). 3. Test output with an array A[20] = {4,1,3,2,16,9,10,14,8,7}. 4. Create a function to insert numbers to the heap. 5. Test the insert function with inserting 20 and 17 sequentially to the heap (heapInset function should be called to insert 20 and 17- Do not use build_heap function in the heap_insert function).

C++ Programming: From Problem Analysis to Program Design
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1. Write a function (heapify) to satisfy the heap property from an array A. In order to
implement the heapify function, please implement the below functions first:
int getParent (int index);
// Purpose: calculates the index of a node's parent node
// Post: integer value returned to caller
int getLeftChild(int index);
// Purpose: calculates the index of node's left child
// Post: integer value returned to caller
int getRightChild (int index);
// Purpose: calculates the index of a node's right child
// Post: integer value returned to the user
void swap (int& iteml, int& item2) ;
// Purpose: exchanges two values
// Post: iteml = old item2 and item2 = old iteml, results
//
returned through reference parameter
2. Write a function to build a heap (buildHeap).
3. Test output with an array A[20] = {(4,1,3,2,16,9,10,14,8,7}.
4. Create a function to insert numbers to the heap.
5. Test the insert function with inserting 20 and 17 sequentially to the heap (heapInset function
should be called to insert 20 and 17- Do not use build_heap function in the heap_insert
function).
Function Prototypes:
int getParent(int index);
int getleftChi ld( int index);
int getRightChild( int index);
void swap( int& i tem1, int& item2);
void heapify( int A[], int index, int size);
void build_heap(int A[], int size);
void printArray( int A[], int size);
Transcribed Image Text:1. Write a function (heapify) to satisfy the heap property from an array A. In order to implement the heapify function, please implement the below functions first: int getParent (int index); // Purpose: calculates the index of a node's parent node // Post: integer value returned to caller int getLeftChild(int index); // Purpose: calculates the index of node's left child // Post: integer value returned to caller int getRightChild (int index); // Purpose: calculates the index of a node's right child // Post: integer value returned to the user void swap (int& iteml, int& item2) ; // Purpose: exchanges two values // Post: iteml = old item2 and item2 = old iteml, results // returned through reference parameter 2. Write a function to build a heap (buildHeap). 3. Test output with an array A[20] = {(4,1,3,2,16,9,10,14,8,7}. 4. Create a function to insert numbers to the heap. 5. Test the insert function with inserting 20 and 17 sequentially to the heap (heapInset function should be called to insert 20 and 17- Do not use build_heap function in the heap_insert function). Function Prototypes: int getParent(int index); int getleftChi ld( int index); int getRightChild( int index); void swap( int& i tem1, int& item2); void heapify( int A[], int index, int size); void build_heap(int A[], int size); void printArray( int A[], int size);
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