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Create merge_sort.cpp #259

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108 changes: 108 additions & 0 deletions merge_sort.cpp
Original file line number Diff line number Diff line change
@@ -0,0 +1,108 @@
#include<iostream>
using namespace std;

// Merges two subarrays of arr[].
// First subarray is arr[l..m]
// Second subarray is arr[m+1..r]
void merge(int arr[], int l, int m, int r)
{
int n1 = m - l + 1;
int n2 = r - m;

// Create temp arrays
int L[n1], R[n2];

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

// Merge the temp arrays back into arr[l..r]

// Initial index of first subarray
int i = 0;

// Initial index of second subarray
int j = 0;

// Initial index of merged subarray
int k = l;

while (i < n1 && j < n2)
{
if (L[i] <= R[j])
{
arr[k] = L[i];
i++;
}
else
{
arr[k] = R[j];
j++;
}
k++;
}

// 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++;
}
}

// l is for left index and r is
// right index of the sub-array
// of arr to be sorted */
void mergeSort(int arr[], int l, int r)
{
if (l < r)
{

// Same as (l+r)/2, but avoids
// overflow for large l and h
int m = l + (r - l) / 2;

// Sort first and second halves
mergeSort(arr, l, m);
mergeSort(arr, m + 1, r);

merge(arr, l, m, r);
}
}

// UTILITY FUNCTIONS
// Function to print an array
void printArray(int A[], int size)
{
for(int i = 0; i < size; i++)
cout << A[i] << " ";
}

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

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

mergeSort(arr, 0, arr_size - 1);

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