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 <stdio.h>
#include <iostream>
#include <string.h>
#include <limits.h>
#include <string>
#include <vector>
#include <algorithm>
#include <map>
#include <set>

typedef unsigned long long ULLONG;
typedef long long LLONG;
template <class _T> static _T tp_pow(int base, int exp)
{
	_T ans = 1;

	for (int i = 0; i < exp; i++) {
		ans *= base;
	}
	return ans;
}

template <class _T> static _T tp_abs(const _T& a) {
	return ((a < 0) ? (a * -1) : a);
}
template <class _T> static _T tp_min(_T a, _T b) {
	return a < b ? a : b;
}
template <class _T> static _T tp_max(_T a, _T b) {
	return a > b ? a : b;
}
template<class _T> static void getint(_T& a) {
	const char* fmt = " %d";
	if (sizeof(_T) == sizeof(long long)) {
		fmt = " %lld";
	}

	if (scanf(fmt, &a) < 0) {
		printf("g1int Error\n");
	}
}
template<class _T> static void getint(_T& a, _T& b) {
	const char* fmt = " %d %d";
	if (sizeof(_T) == sizeof(long long)) {
		fmt = " %lld %lld";
	}

	if (scanf(fmt, &a, &b) < 0) {
		printf("g2int Error\n");
	}
}
template<class _T> static void getint(_T& a, _T& b, _T& c) {
	const char* fmt = " %d %d %d";
	if (sizeof(_T) == sizeof(long long)) {
		fmt = " %lld %lld %lld";
	}

	if (scanf(fmt, &a, &b, &c) < 0) {
		printf("g3int Error\n");
	}
}
static void getstring(char* buff) {
	if (scanf(" %s", buff) < 0) {
		printf("getstr error!\n");
	}
}
static const long long MOD_NUM = 1000000007LL;

static void D_task();

int main()
{
	D_task();
	fflush(stdout);
	return 0;
}


static void D_task()
{
	int N;
	getint(N);

	std::vector<int> vAi(N, 0);
	std::map<int, LLONG> mAi;
	int max = 200000;
	for (int i = 0; i < N; i++) {
		int tmp; getint(tmp);
		vAi[i] = tmp;
		mAi[tmp]++;
	}

	LLONG total = 0;
	for (auto it = mAi.begin(); it != mAi.end(); it++) {
		total += it->second * (it->second - 1) / 2;
	}

	for (int i = 0; i < N; i++) {
		LLONG val = mAi[vAi[i]];
		LLONG ans = total;
		if (val >= 2) {
			ans = total - (val * (val - 1) / 2) + ((val - 1) * (val - 2) / 2);
		}
		
		printf("%lld\n", ans);
	}
}