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 Rust (1.15.1) (judge verdict: Accepted)

use std::collections::HashMap;
use std::io::*;
use std::str::FromStr;

fn read<T: FromStr>() -> T {
    let stdin = stdin();
    let stdin = stdin.lock();
    let token: String = stdin
        .bytes()
        .map(|c| c.expect("failed to read char") as char)
        .skip_while(|c| c.is_whitespace())
        .take_while(|c| !c.is_whitespace())
        .collect();

    token.parse().ok().expect("failed to parse token")
}

fn main() {
    //hashmapで同じ数字は数える。配列ではstack over flowする。　配列はスタックに確保されるので，大きな配列には向いていない。
    //参考；https://atcoder.jp/contests/abc159/submissions/11144830
    let n: usize = read();
    let a: Vec<usize> = (0..n).map(|_| read()).collect();
    let mut count_map = HashMap::new();

    //各数字の出現数をカウント
    for i in a.iter() {
        let count = count_map.entry(i).or_insert(0);
        *count += 1;
    }

    let mut all: usize = 0;
    for (k, v) in count_map.iter() {
        all += (*v * *v - *v) / 2;
    }

    for i in a.iter() {
        let count = count_map[i];
        let index = count - 1;
        let add = (index * index - index) / 2;
        let sub = (count * count - count) / 2;
        println!("{}", all + add - sub);
    }
}