// hirlanc.cpp : This file contains the 'main' function. Program execution begins and ends there.
//

#include <iostream>
#include <vector>
using namespace std;

struct adat {
    vector<int>be;
    int sz = 0, tav = 0;
    bool lat = 0, kor = 0;
};

vector<adat>x;

pair<int, int>sol = { 0,0 };

int n, hossz, db, tav;

bool kor(int akt, int kezd)
{
    x[akt].lat = true;
    ++tav;
    if (x[x[akt].sz].kor)
    {
        x[akt].lat = false;
        x[akt].kor = false;
        return false;
    }
    else
    {
        if (x[akt].sz == kezd)
        {
            x[akt].lat = false;

            x[x[akt].sz].tav = tav + 1;
            x[akt].tav = tav;

            x[x[akt].sz].kor = true;
            x[akt].kor = true;
            return true;
        }
        else if (x[x[akt].sz].lat)
        {
            x[akt].lat = false;
            x[akt].kor = false;
            return false;
        }

        if (kor(x[akt].sz, kezd))
        {
            x[akt].lat = false;
            x[akt].tav = tav;
            x[akt].kor = true;
            return true;
        }
        else
        {
            x[akt].lat = false;
            x[akt].kor = false;
            return false;
        }
    }

}

void bejar(int akt, int tav)
{
    x[akt].lat = 1;
    if (x[akt].tav == 0 || tav > x[akt].tav) x[akt].tav = tav;
    for (auto& e : x[akt].be)
    {
        if (!x[e].lat && !x[e].kor)
        {
            bejar(e, tav + 1);
        }
    }
    x[akt].lat = 0;
}

int main()
{
    cin >> n;

    x.resize(n + 1);
    int a = 0;
    for (int i = 1; i <= n; ++i)
    {
        cin >> a;
        x[i].sz = a;
        x[a].be.push_back(i);
    }

    for (int i = 1; i <= n; ++i)
    {
        tav = 0;
        if (!x[i].kor) kor(i, i);
    }

    for (int i = 1; i <= n; ++i)
    {
        if (x[i].kor) bejar(i, x[i].tav);
        if (x[i].tav > sol.second)
        {
            sol.first = i;
            sol.second = x[i].tav;
        }
    }

    cout << sol.first << " " << sol.second;
}

// Run program: Ctrl + F5 or Debug > Start Without Debugging menu
// Debug program: F5 or Debug > Start Debugging menu

// Tips for Getting Started: 
//   1. Use the Solution Explorer window to add/manage files
//   2. Use the Team Explorer window to connect to source control
//   3. Use the Output window to see build output and other messages
//   4. Use the Error List window to view errors
//   5. Go to Project > Add New Item to create new code files, or Project > Add Existing Item to add existing code files to the project
//   6. In the future, to open this project again, go to File > Open > Project and select the .sln file