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max_heap.c
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113 lines (99 loc) · 2.14 KB
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#include <stdio.h>
void swap(int *x, int *y)
{
int temp;
temp = *x;
*x = *y;
*y = temp;
}
int parent(int i)
{
return (i - 1) / 2;
}
int left(int i)
{
return 2 * i + 1;
}
int right(int i)
{
return 2 * i + 2;
}
void insert_key(int Array[], int x, int* heap_size) // will insert x in the array after last node and then will heapify
{
int i = *heap_size;
Array[i] = x;
*heap_size = *heap_size +1;
if (i == 0)
return;
while (i != 0 && Array[parent(i)] < Array[i])
{
swap(&Array[parent(i)], &Array[i]);
i = parent(i);
}
}
void MaxHeapify(int Array[], int i, int heap_size)
{
int l = left(i);
int r = right(i);
int largest = i;
if (l < heap_size && Array[l] > Array[largest])
{
largest = l;
}
if (r < heap_size && Array[r] > Array[largest])
{
largest = r;
}
if (largest != i)
{
swap(&Array[largest], &Array[i]);
MaxHeapify(Array, largest, heap_size);
}
}
void update_key(int Array[], int i, int new_value, int heap_size)
{
Array[i] = new_value;
MaxHeapify(Array, i, heap_size);
while (i != 0 && Array[parent(i)] < Array[i])
{
swap(&Array[parent(i)], &Array[i]);
i = parent(i);
}
}
int extract_max(int Array[], int* heap_size) // return the min element and remove it from the heap
{
if (*heap_size == 1)
{
*heap_size = *heap_size -1;
return Array[0];
}
swap(&Array[0], &Array[*heap_size - 1]);
*heap_size = *heap_size -1;
MaxHeapify(Array, 0, *heap_size);
return Array[*heap_size];
}
int peak_max(int Array[])
{
return Array[0];
}
void delete_key(int i, int Array[], int *heap_size)
{
update_key(Array, i, Array[0] - 1 , *heap_size);
extract_max(Array, heap_size);
}
int main()
{
int heap_size = 0;
int n = 6;
//scanf("%d",&n);
int Array[n];
for (int i = 0; i < n; i++)
{
insert_key(Array, 5, &heap_size);
}
int max = extract_max(Array, &heap_size);
update_key(Array, 1, 6 , heap_size);
for (int i = 0; i < heap_size; i++)
printf("%d ", Array[i]);
printf("\n%d ", max);
}