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++14 (GCC 5.4.1) (judge verdict: Runtime Error)

#include<iostream>
#include<cstring>
#include<map>
#include<algorithm>
#define ll long long
using namespace std;
ll mat[10000][10000];
int combinat(int m, int n) {//算组合数 
    int i, j;
    if(n == 0 || m == n)
        return 1;
    for(j = 0; j <= n; j++) { // 只要计算n列就行了，不用计算后面的
        mat[j][j] = 1;
        for(i = j+1; i <= m; i++) {
            if(j == 0)
                mat[i][j] = 1;
            else
                mat[i][j] = mat[i-1][j-1] + mat[i-1][j];
        } // 计算Cmn
    }
    return mat[m][n];
}
int main(){
	int N;//代表 N 个球
	map<int,int> mp;
	int num[200005]={0};
	int sum[200005]={0};
	cin>>N;
	for(int i=1;i<=N;i++){
		cin>>num[i];
		mp[num[i]]++;
	}
	map<int,int>::iterator it;
	ll ans=0;
	for(int k=1;k<=N;k++){//抽取出第 k 个数 ,其他的不为 0 的数用排列组合来求 
//		cout<<mp[num[k]]<<endl;
		//表示要抽取的数值为  num[k] 
		ans=0;
		for(it=mp.begin();it!=mp.end();it++){
			if(it->first==num[k]){
				//算组合数
				memset(mat,0,sizeof(mat));
				ans=ans+combinat(it->second-1,2);
//				ans=ans+
			}else{
				//算组合数
				memset(mat,0,sizeof(mat));
				ans=ans+combinat(it->second,2);
			}
//			cout<<it->first<<" "<<it->second<<endl;
		}
		cout<<ans<<endl;
	}
	return 0;
}