Problem:
Score : 200 points

Problem Statement

There are N rabbits, numbered 1 through N.

The i-th (1≤i≤N) rabbit likes rabbit a_i.
Note that no rabbit can like itself, that is, a_i≠i.

For a pair of rabbits i and j (i＜j), we call the pair (i，j) a friendly pair if the following condition is met.

Rabbit i likes rabbit j and rabbit j likes rabbit i.

Calculate the number of the friendly pairs.

Constraints

2≤N≤10^5

1≤a_i≤N

a_i≠i

Input

The input is given from Standard Input in the following format:

N
a_1 a_2 ... a_N

Output

Print the number of the friendly pairs.

Sample Input 1

4
2 1 4 3

Sample Output 1

2

There are two friendly pairs: (1，2) and (3，4).

Sample Input 2

3
2 3 1

Sample Output 2

0

There are no friendly pairs.

Sample Input 3

5
5 5 5 5 1

Sample Output 3

1

There is one friendly pair: (1，5).

Solution in Go (1.14.1) (judge verdict: Accepted)

package main

import (
        "fmt"
)

func solution(n int, a []int) int {
        c := 0
        for i := range a {
                if a[a[i]-1] == i+1 {
                        c++
                }
        }
        return c / 2
}

func main() {
        var n int
        fmt.Scan(&n)
        a := make([]int, n)
        for i := range a {
                fmt.Scan(&a[i])
        }
        fmt.Println(solution(n, a))
}