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//HEAPS | ||
#include<iostream> | ||
using namespace std; | ||
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//function to check whether given set of arrays is a max heap or not | ||
int check_heap(int c[],int count, int n) | ||
{ | ||
if( count>(n-2)/2) | ||
return 1; | ||
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if(c[count]>=c[2*count + 2] && c[count]>=c[2*count +1] && check_heap(c, 2*count + 2, n) && check_heap(c, 2* count +1,n)) | ||
return 1; | ||
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return 0; | ||
} | ||
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void heapify(int arr[], int n, int i) | ||
{ | ||
int largest = i; | ||
int l = 2*i + 1; | ||
int r = 2*i + 2; | ||
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// If left child is larger than root | ||
if (l < n && arr[l] > arr[largest]) | ||
largest = l; | ||
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// If right child is larger than largest so far | ||
if (r < n && arr[r] > arr[largest]) | ||
largest = r; | ||
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// If largest is not root | ||
if (largest != i) | ||
{ | ||
swap(arr[i], arr[largest]); | ||
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// Recursively heapify the affected sub-tree | ||
heapify(arr, n, largest); | ||
} | ||
} | ||
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void heapSort(int arr[], int n) | ||
{ | ||
// Build heap (rearrange array) | ||
for (int i = n / 2 - 1; i >= 0; i--) | ||
heapify(arr, n, i); | ||
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// One by one extract an element from heap | ||
for (int i=n-1; i>0; i--) | ||
{ | ||
// Move current root to end | ||
swap(arr[0], arr[i]); | ||
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// call max heapify on the reduced heap | ||
heapify(arr, i, 0); | ||
} | ||
} | ||
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/* A utility function to print array of size n */ | ||
void printArray(int arr[], int n) | ||
{ | ||
for (int i=0; i<n; ++i) | ||
cout << arr[i] << " "; | ||
cout << "\n"; | ||
} | ||
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int main() | ||
{ | ||
int i; | ||
int l1, l2; | ||
int a[]={16,4,10,14,7,9,3,2,8,1}; | ||
int b[]={16,10,14,7,8,9,3,2,4,1}; | ||
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l1=sizeof(a)/sizeof(int); | ||
l2=sizeof(b)/sizeof(int); | ||
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int result1=check_heap(a,0,l1); | ||
int result2=check_heap(b,0,l2); | ||
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//check the first array | ||
if(result1==1) | ||
cout<<"First case: Is a HEAP\n"; | ||
else | ||
cout<<"First case: Is not a HEAP\n"; | ||
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//check the second array | ||
if(result2==1) | ||
cout<<"Second case: Is a HEAP\n"; | ||
else | ||
cout<<"Second case: Is not a HEAP\n"; | ||
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cout<<"\n"; | ||
// Heapify | ||
cout<<"First case: Before heapification:\n"; | ||
printArray(a, l1); | ||
heapSort(a, l1); | ||
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cout << "Sorted array-1 is \n"; | ||
printArray(a, l1); | ||
cout<<"Heapified................."<<"\n"; | ||
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heapSort(b, l2); | ||
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cout<<"Second case: Sorted array-2 is \n"; | ||
printArray(b, l2); | ||
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} |