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Merge Sort
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Merge Sort
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// C++ program for Merge Sort
#include <iostream>
using namespace std;
// Merges two subarrays of array[].
// First subarray is arr[begin..mid]
// Second subarray is arr[mid+1..end]
void merge(int array[], int const left, int const mid,
int const right)
{
auto const subArrayOne = mid - left + 1;
auto const subArrayTwo = right - mid;
// Create temp arrays
auto *leftArray = new int[subArrayOne],
*rightArray = new int[subArrayTwo];
// Copy data to temp arrays leftArray[] and rightArray[]
for (auto i = 0; i < subArrayOne; i++)
leftArray[i] = array[left + i];
for (auto j = 0; j < subArrayTwo; j++)
rightArray[j] = array[mid + 1 + j];
auto indexOfSubArrayOne
= 0, // Initial index of first sub-array
indexOfSubArrayTwo
= 0; // Initial index of second sub-array
int indexOfMergedArray
= left; // Initial index of merged array
// Merge the temp arrays back into array[left..right]
while (indexOfSubArrayOne < subArrayOne
&& indexOfSubArrayTwo < subArrayTwo) {
if (leftArray[indexOfSubArrayOne]
<= rightArray[indexOfSubArrayTwo]) {
array[indexOfMergedArray]
= leftArray[indexOfSubArrayOne];
indexOfSubArrayOne++;
}
else {
array[indexOfMergedArray]
= rightArray[indexOfSubArrayTwo];
indexOfSubArrayTwo++;
}
indexOfMergedArray++;
}
// Copy the remaining elements of
// left[], if there are any
while (indexOfSubArrayOne < subArrayOne) {
array[indexOfMergedArray]
= leftArray[indexOfSubArrayOne];
indexOfSubArrayOne++;
indexOfMergedArray++;
}
// Copy the remaining elements of
// right[], if there are any
while (indexOfSubArrayTwo < subArrayTwo) {
array[indexOfMergedArray]
= rightArray[indexOfSubArrayTwo];
indexOfSubArrayTwo++;
indexOfMergedArray++;
}
delete[] leftArray;
delete[] rightArray;
}
// begin is for left index and end is
// right index of the sub-array
// of arr to be sorted */
void mergeSort(int array[], int const begin, int const end)
{
if (begin >= end)
return; // Returns recursively
auto mid = begin + (end - begin) / 2;
mergeSort(array, begin, mid);
mergeSort(array, mid + 1, end);
merge(array, begin, mid, end);
}
// UTILITY FUNCTIONS
// Function to print an array
void printArray(int A[], int size)
{
for (auto i = 0; i < size; i++)
cout << A[i] << " ";
}
// Driver code
int main()
{
int arr[] = { 12, 11, 13, 5, 6, 7 };
auto 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;
}