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 Fortran (GNU Fortran 9.2.1) (judge verdict: Accepted)

program prob3
    implicit none
    integer :: N, i, ans
    integer, allocatable :: a(:)
    read(*,*) N
    allocate(a(N))
    read(*,*) a
    ans = 0
    do i = 1, N
        if(a(a(i)) == i)then
            ans = ans + 1
        end if
    end do
    ans = ans / 2
    write(*,*) ans



    deallocate(a)

    stop
contains
end program prob3