Thursday, 20 November 2014

Merge Sort

#include<iostream>
#include<conio.h>


using namespace std;


//function to merge two halves
// arr[l..m] abd arr[m+1 ... r]

void merge(int arr[], int l, int m, int r)
{
   
    int n1 = m - l + 1; // total elements in first half
    int n2 = r - m;// in second half
    int i = 0, j = 0, k = 0;
    int L[n1], R[n2];

    // copy data to temp arrays
    for ( i = 0; i < n1; i++)
        L[i] = arr[l + i];
    for ( j = 0; j < n2; j++)
        R[j] = arr[m + 1 + j];

    // merge temp arrays back to a[l..r];
    i = 0; j = 0; k = l;
    while (i < n1 && j < n2)
    {
        if (L[i] <= R[j])
        {
            arr[k] = L[i];
                ++i;

        }
        else
        {
            arr[k] = R[j];
            j++;
        }
    }

    /* Copy the remaining elements of L[] , if there are any */
    while (i < n1)
    {
        arr[k] = L[i];
        i++;
        k++;
    }

    /* Copy the remaining elements of R[], if there are any */
    while (j < n2)
    {
        arr[k] = R[j];
        j++;
        k++;
    }


}



void mergeSort(int arr[], int l, int r)
{
    if (l < r)
    {
        int m = l + (r - l) / 2;
        mergeSort(arr, l, m);
        mergeSort(arr, m + 1, r);
        merge(arr, l, m, r);
    }
}


void printArray(int A[], int size)
{
    int i;
    for (i = 0; i < size; i++)
        cout << A[i];
    printf("\n");
}


int main()
{
    int arr[] = { 12, 11, 13, 5, 6, 7 };
    int arr_size = sizeof(arr) / sizeof(arr[0]);

    printf("Given array is \n");
    printArray(arr, arr_size);

    mergeSort(arr, 0, arr_size - 1);

    printf("\nSorted array is \n");
    printArray(arr, arr_size);
    getchar();
    return 0;
}

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