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 C# (Mono 4.6.2.0) (judge verdict: Accepted)

using System;

namespace tst
{
    class Program
    {
        public static void Main()
        {
            int n = int.Parse(Console.ReadLine());
            string[] In = Console.ReadLine().Split(' ');
            int[] A = new int[n];
            int max = 0;
            for(int i=0; i<n; i++)
            {
                A[i] = int.Parse(In[i]);
                //Console.WriteLine("i={0}",i);
                if (A[i] > max) max = A[i];
            }
            int[] C = new int[max+1];//C[0]は空で、C[1]に１の出た回数を記録する、最後の要素は、C[max];
            for(int i=0; i<n; i++)
            {
                C[A[i]]++;
            }
            long[] CC = new long[max + 1];//場合の数を記録する
            long sum = 0;//全部の合計
            for (int i = 0; i < max+1; i++)
            {
                if (C[i] == 0 || C[i] == 1) CC[i] = 0;
                else if (C[i] >= 2)
                {
                    long x = C[i];
                    CC[i] = x * (x - 1) / 2;
                }
                sum += CC[i];//全部の場合の数の合計を出しておく
            }
            long res = 0;
            for(int i=0; i<n; i++)//着目する数字をsumから引き、ボール一個減らした分だけsumに足す
            {
                if (C[A[i]] == 1) res = sum;
                else if (C[A[i]] == 2) res = sum - 1;
                else if (C[A[i]] >= 3)
                {
                    res = sum;
                    long y = C[A[i]];
                    res-= y * (y - 1) / 2;
                    long z = C[A[i]]-1;
                    res += z * (z - 1) / 2;
                }
                Console.WriteLine(res);
            }
        }
    }
}