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 (GCC 9.2.1) (judge verdict: Accepted)

#include <stdio.h>
#include <stdlib.h>
#include <math.h>
#include <string.h>

#define ll long long

void swap (int *x, int *y) {
  int temp;

  temp = *x;
  *x = *y;
  *y = temp;

  return;
}


//naosu
long int gcd(long int a,long int b){
  long int c;

  while (b > 0){
    c = a % b;
    a = b;
    b = c;
  }

  return a;
}

int upll(const void*a, const void*b){
  return*(ll*)a<*(ll*)b?-1:*(ll*)a>*(ll*)b?1:0;
}

int downll(const void*a, const void*b){
  return*(ll*)a<*(ll*)b?1:*(ll*)a>*(ll*)b?-1:0;
}

void sortup(ll*a,int n){
  qsort(a,n,sizeof(ll),upll);
}

void sortdown(ll*a,int n){
  qsort(a,n,sizeof(ll),downll);
}

long int modpow(long int a,long int n,long int mod){
  long int ans=1;
  while(n>0){
    if(n & 1){
      ans=ans*a%mod;
    }
    a=a*a%mod;
    n/=2;
  }
  return ans;
}

long int modinv(long int a,long int mod){
  return modpow(a,mod-2,mod);
}

int max(int a,int b){
  if(a<b){
    return b;
  }
  else{
    return a;
  }
}

int min(int a,int b){
  if(a<b){
    return a;
  }
  else{
    return b;
  }
}

void chmax(int *a,int b){
  if(*a < b){
    *a = b;
  }

  return;
}

void chmin(int *a,int b){
  if(*a > b){
    *a =b;
  }

  return;
}


long int lcm(long int a,long int b){
  return a/gcd(a,b)*b;
}


long int f(long int n,long int c,long int d){
  long int cnt=n/c+n/d-n/lcm(c,d);
  return n-cnt;
}


/****************************************\
| Thank you for viewing my code:)        |
| Written by RedSpica a.k.a. RanseMirage |
| Twitter:@asakaakasaka                  | 
\****************************************/

int main(void){
  int MOD=1e9+7; 
  /*
  long int kai[2000000];
  long int rekai[2000000];
  
  kai[0]=1;
  kai[1]=1;
  rekai[0]=1;
  rekai[1]=1;
  for(int i=2;i<2000000;i++){
    kai[i]=kai[i-1]*i;
    kai[i]%=MOD;

    rekai[i]=rekai[i-1]*modinv(i,MOD);
    rekai[i]%=MOD;
  }
  */

  long int n;
  scanf("%ld",&n);

  long int A[n];
  long int B[n];
  for(int i=0;i<n;i++){
    A[i]=0;
  }

  for(int i=0;i<n;i++){
    scanf("%ld",&B[i]);
    A[B[i]-1]++;
  }

  long int ans=0;
  for(int i=0;i<n;i++){
    ans+=A[i]*(A[i]-1)/2;
  }
  
  //

  for(int i=0;i<n;i++){
    long int now=B[i];
    now--;

    ans-=A[now]*(A[now]-1)/2;
    ans+=(A[now]-1)*(A[now]-2)/2;
    printf("%ld\n",ans);
    ans-=(A[now]-1)*(A[now]-2)/2;
    ans+=A[now]*(A[now]-1)/2;
  }

  return 0;
}