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: Accepted)

#include<bits/stdc++.h>
#define int           long long
#define pb            push_back
#define ppb           pop_back
#define si            set <int>
#define endl          '\n'
#define fr            first
#define sc            second     
#define rep(i,a,b)    for(int  i=a;i<b;i++)
#define repr(i,a,b)      for(int i=b-1;i>=a;i--)
#define trav(it,v)      for(auto it=v.begin();it!=v.end();it++)
#define all(v)        v.begin(),v.end()
#define srt(v)        sort(all(v))
#define vs            vector<string>
#define sz(x)         (int )x.size()
#define M             1000000007
#define bs            binary_search
#define sp(n)         setprecision(n)
#define spl           " "
#define arr(a,n)      rep(i,0,n) cin>>a[i]
#define mod           998244353
#define MAXN             10001

using namespace std;

bool sortinrev(const pair<int,int> &a,  
               const pair<int,int> &b) 
{ 
       return (a.first > b.first); 
} 


//int dx[4]={0,0,1,-1};
//int dy[4]={1,-1,0,0};
void solve()
{
    int n;
    cin>>n;
    int a[n];
    int b[n+1]={0};
    rep(i,0,n)
    {
        cin>>a[i];
        b[a[i]]++;
    }
    int sum=0;
    rep(i,1,n+1)
    {
        if(b[i]>=2)
        {
            sum+=(b[i]*(b[i]-1))/2;
        }
    }
    rep(i,0,n)
    {
        int k=a[i];
        int ans=sum;
        if(b[k]>=2)
        {
            ans-=(b[k]*(b[k]-1))/2;
            int j=b[k]-1;
            if(j>=2)
            {
                ans+=(j*(j-1))/2;
            }
        }
        cout<<ans<<"\n";
    }
    
    
}	
	


signed main()
{
    ios_base::sync_with_stdio(false);
    cin.tie(0);
    cout.tie(0);
    
    int t=1;
    //cin>>t;
    while(t--)
    {
    	solve();
    }
}