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package class34;
import java.util.ArrayList;
import java.util.List;
public class Problem_0315_CountOfSmallerNumbersAfterSelf {
public static class Node {
public int value;
public int index;
public Node(int v, int i) {
value = v;
index = i;
}
}
public static List<Integer> countSmaller(int[] nums) {
List<Integer> ans = new ArrayList<>();
if (nums == null) {
return ans;
}
for (int i = 0; i < nums.length; i++) {
ans.add(0);
}
if (nums.length < 2) {
return ans;
}
Node[] arr = new Node[nums.length];
for (int i = 0; i < arr.length; i++) {
arr[i] = new Node(nums[i], i);
}
process(arr, 0, arr.length - 1, ans);
return ans;
}
public static void process(Node[] arr, int l, int r, List<Integer> ans) {
if (l == r) {
return;
}
int mid = l + ((r - l) >> 1);
process(arr, l, mid, ans);
process(arr, mid + 1, r, ans);
merge(arr, l, mid, r, ans);
}
public static void merge(Node[] arr, int l, int m, int r, List<Integer> ans) {
Node[] help = new Node[r - l + 1];
int i = help.length - 1;
int p1 = m;
int p2 = r;
while (p1 >= l && p2 >= m + 1) {
if (arr[p1].value > arr[p2].value) {
ans.set(arr[p1].index, ans.get(arr[p1].index) + p2 - m);
}
help[i--] = arr[p1].value > arr[p2].value ? arr[p1--] : arr[p2--];
}
while (p1 >= l) {
help[i--] = arr[p1--];
}
while (p2 >= m + 1) {
help[i--] = arr[p2--];
}
for (i = 0; i < help.length; i++) {
arr[l + i] = help[i];
}
}
}