Problem:
Score : 400 points

Problem Statement

We have N balls. The i-th ball has an integer A_i written on it.

For each k=1, 2, ..., N, solve the following problem and print the answer.

Find the number of ways to choose two distinct balls (disregarding order) from the N-1 balls other than the k-th ball so that the integers written on them are equal.

Constraints

3 \leq N \leq 2 \times 10^5

1 \leq A_i \leq N

All values in input are integers.

Input

Input is given from Standard Input in the following format:

N
A_1 A_2 ... A_N

Output

For each k=1,2,...,N, print a line containing the answer.

Sample Input 1

5
1 1 2 1 2

Sample Output 1

2
2
3
2
3

Consider the case k=1 for example. The numbers written on the remaining balls are 1,2,1,2.

From these balls, there are two ways to choose two distinct balls so that the integers written on them are equal.

Thus, the answer for k=1 is 2.

Sample Input 2

4
1 2 3 4

Sample Output 2

0
0
0
0

No two balls have equal numbers written on them.

Sample Input 3

5
3 3 3 3 3

Sample Output 3

6
6
6
6
6

Any two balls have equal numbers written on them.

Sample Input 4

8
1 2 1 4 2 1 4 1

Sample Output 4

5
7
5
7
7
5
7
5

Solution in Java8 (OpenJDK 1.8.0) (judge verdict: Accepted)

import java.io.*;
import java.util.*;
import java.util.Map.Entry;
public class Main {
	static Scanner sc;
	static PrintWriter out;
	public static void main(String[] args) throws Exception{
		// TODO Auto-generated method stub
		sc = new Scanner(System.in);
		out = new PrintWriter(System.out);
		int l = sc.nextInt();
		HashMap<Integer, Long> map = new HashMap<Integer, Long>();
		int a[] = new int[l];
		for (int i = 0; i < a.length; i++) {
			int tmp = sc.nextInt();
			a[i] = tmp;
			map.put(tmp, map.getOrDefault(tmp, 0l)+1);
		}
		long total = 0l;
		for(Entry<Integer, Long>e:map.entrySet()) {
			long n = e.getValue();
			total += n*(n-1)/2;
		}
		for(int i:a) {
			long v = map.get(i);
			long ans = total - v*(v-1)/2 + (v-1)*(v-2)/2; 
			out.println(ans);
		}
		
		out.flush();
	} 
	static boolean isPalindrome(String s) {
		int l = s.length();
		char[] sa = s.toCharArray();
		for(int i=0;i<l/2;i++) {
			if(sa[i] != sa[l-i-1])
				return false;
		}
		return true;
	}
	static class Scanner{
		private BufferedReader br;
		private StringTokenizer st;
		public Scanner(InputStream in) {
			br = new BufferedReader(new InputStreamReader(in));
		}
		public String next() throws IOException{
			while(st == null || !st.hasMoreTokens())
				st = new StringTokenizer(br.readLine());
			return st.nextToken();
		}
		public String nextLine() throws IOException {
			return br.readLine();
		}
		public int nextInt() throws IOException{
			return Integer.parseInt(next());
		}
		public long nextLong() throws IOException{
			return Long.parseLong(next());
		}
		public double nextDouble() throws IOException{
			return Double.parseDouble(next());
		}
		public int[] inArr(int n) throws Exception{
			int a [] = new int[n];
			st = new StringTokenizer(br.readLine());
			for(int i=0;i<n;i++) {
				a[i] = Integer.parseInt(st.nextToken());
			}
			return a;
		}
	}
}