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Heap.cpp
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133 lines (109 loc) · 2.23 KB
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#include<iostream>
#include<climits>
using namespace std;
void swap(int *x, int *y);
class MinHeap
{
int *harr;
int capacity;
int heap_size;
public:
MinHeap(int capacity);
void MinHeapify(int );
int parent(int i) { return (i-1)/2; }
int left(int i) { return (2*i + 1); }
int right(int i) { return (2*i + 2); }
int extractMin();
void decreaseKey(int i, int new_val);
int getMin() { return harr[0]; }
void deleteKey(int i);
void insertKey(int k);
};
MinHeap::MinHeap(int cap)
{
heap_size = 0;
capacity = cap;
harr = new int[cap];
}
void MinHeap::insertKey(int k)
{
if (heap_size == capacity)
{
cout << "\nOverflow: Could not insertKey\n";
return;
}
heap_size++;
int i = heap_size - 1;
harr[i] = k;
while (i != 0 && harr[parent(i)] > harr[i])
{
swap(&harr[i], &harr[parent(i)]);
i = parent(i);
}
}
void MinHeap::decreaseKey(int i, int new_val)
{
harr[i] = new_val;
while (i != 0 && harr[parent(i)] > harr[i])
{
swap(&harr[i], &harr[parent(i)]);
i = parent(i);
}
}
int MinHeap::extractMin()
{
if (heap_size <= 0)
return INT_MAX;
if (heap_size == 1)
{
heap_size--;
return harr[0];
}
int root = harr[0];
harr[0] = harr[heap_size-1];
heap_size--;
MinHeapify(0);
return root;
}
void MinHeap::deleteKey(int i)
{
decreaseKey(i, INT_MIN);
extractMin();
}
void MinHeap::MinHeapify(int i)
{
int l = left(i);
int r = right(i);
int smallest = i;
if (l < heap_size && harr[l] < harr[i])
smallest = l;
if (r < heap_size && harr[r] < harr[smallest])
smallest = r;
if (smallest != i)
{
swap(&harr[i], &harr[smallest]);
MinHeapify(smallest);
}
}
void swap(int *x, int *y)
{
int temp = *x;
*x = *y;
*y = temp;
}
int main()
{
MinHeap h(11);
h.insertKey(3);
h.insertKey(2);
h.deleteKey(1);
h.insertKey(15);
h.insertKey(5);
h.insertKey(4);
h.insertKey(45);
cout << h.extractMin() << " ";
cout << h.getMin() << " ";
h.decreaseKey(2, 1);
cout << h.getMin();
return 0;
}