Solution.cs

using System.CodeDom.Compiler;
using System.Collections.Generic;
using System.Collections;
using System.ComponentModel;
using System.Diagnostics.CodeAnalysis;
using System.Globalization;
using System.IO;
using System.Linq;
using System.Reflection;
using System.Runtime.Serialization;
using System.Text.RegularExpressions;
using System.Text;
using System;

class Solution {
    static int[] permutationEquation(int[] p) {
        var result = new int[p.Length];
        for(int i = 0; i<p.Length; i++) {
            result[i] = p[p[i]-1];
        }
        for(int i = 0; i<result.Length; i++) {
            p[result[result[i]-1]-1] = result[i];
        }
        Console.WriteLine(string.Join(Environment.NewLine, result));
        return p;
    }

    static void Main(string[] args) {
        TextWriter textWriter = new StreamWriter(@System.Environment.GetEnvironmentVariable("OUTPUT_PATH"), true);

        int n = Convert.ToInt32(Console.ReadLine());

        int[] p = Array.ConvertAll(Console.ReadLine().Split(' '), pTemp => Convert.ToInt32(pTemp))
        ;
        int[] result = permutationEquation(p);

        textWriter.WriteLine(string.Join("\n", result));

        textWriter.Flush();
        textWriter.Close();
    }
}