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Count Inversions
JavaView on GFG
Count Inversions.java
Java
import java.util.*;
class Solution {
// Function to count inversions in the array.
static int inversionCount(int arr[]) {
return mergeSort(arr, 0, arr.length - 1);
}
private static int mergeSort(int[] arr, int left, int right) {
int count = 0;
if (left < right) {
int mid = left + (right - left) / 2;
count += mergeSort(arr, left, mid);
count += mergeSort(arr, mid + 1, right);
count += merge(arr, mid, left, right);
}
return count;
}
private static int merge(int[] arr, int mid, int left, int right) {
int l = left, r = mid + 1;
int count = 0;
ArrayList<Integer> temp = new ArrayList<>();
while (l <= mid && r <= right) {
if (arr[l] <= arr[r]) {
temp.add(arr[l]);
l++;
} else {
count += (mid - l + 1);
temp.add(arr[r]);
r++;
}
}
while (l <= mid) {
temp.add(arr[l]);
l++;
}
while (r <= right) {
temp.add(arr[r]);
r++;
}
for (int i = left; i <= right; i++)
arr[i] = temp.get(i - left);
return count;
}
}Advertisement
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