import java.util.*;
public class Main {
private static int merge(int[] arr, int low, int mid, int high) {
ArrayList<Integer> temp = new ArrayList<>(); // temporary array
int left = low; // starting index of left half of arr
int right = mid + 1; // starting index of right half of arr
//Modification 1: cnt variable to count the pairs:
int cnt = 0;
//storing elements in the temporary array in a sorted manner//
while (left <= mid && right <= high) {
if (arr[left] <= arr[right]) {
temp.add(arr[left]);
left++;
} else {
temp.add(arr[right]);
cnt += (mid - left + 1); //Modification 2
right++;
}
}
// if elements on the left half are still left //
while (left <= mid) {
temp.add(arr[left]);
left++;
}
// if elements on the right half are still left //
while (right <= high) {
temp.add(arr[right]);
right++;
}
// transfering all elements from temporary to arr //
for (int i = low; i <= high; i++) {
arr[i] = temp.get(i - low);
}
return cnt; // Modification 3
}
public static int mergeSort(int[] arr, int low, int high) {
int cnt = 0;
if (low >= high) return cnt;
int mid = (low + high) / 2 ;
cnt += mergeSort(arr, low, mid); // left half
cnt += mergeSort(arr, mid + 1, high); // right half
cnt += merge(arr, low, mid, high); // merging sorted halves
return cnt;
}
public static int numberOfInversions(int[] a, int n) {
// Count the number of pairs:
return mergeSort(a, 0, n - 1);
}
public static void main(String[] args) {
//int[] a = {5, 4, 3, 2, 1};
//int n = 5;
int[] a = {1,3,5,2,4,6};
int n = 6;
int cnt = numberOfInversions(a, n);
System.out.println("The number of inversions are: " + cnt);
}
}
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