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 C# (Mono 4.6.2.0) (judge verdict: Time Limit Exceeded)

using System;
using System.Collections.Generic;
using System.Linq;
using System.Text;
using System.Threading.Tasks;
//using static System.Console;

namespace CF2016A_B
{
    class Program
    {
        static void Main(string[] args)
        {
            var P = new KeyValuePair<int, int>();
            var N = scan[0];
            var a = scan;
            var G = new List<KeyValuePair<int, int>>();
            int cnt = 0;
            for (int i = 0; i < N; i++)
            {
                var p = new KeyValuePair<int, int>(i+1, a[i]);
                var q = new KeyValuePair<int, int>(a[i], i+1);
                if (G.Contains(q)) cnt++;
                else
                {
                    G.Add(p);
                    //Console.WriteLine(p.ToString());
                }
            }
            Console.WriteLine(cnt);
        }

        static int[] scan { get { return Array.ConvertAll(Console.ReadLine().Split(), int.Parse); } }
    }
}