Petr likes to come up with problems about randomly generated data. This time problem is about random permutation. He decided to generate a random permutation this way: he takes identity permutation of numbers from 1 to n and then 3n times takes a random pair of different elements and swaps them. Alex envies Petr and tries to imitate him in all kind of things. Alex has also come up with a problem about random permutation. He generates a random permutation just like Petr but swaps elements 7n+1 times instead of 3n times. Because it is more random, OK?!

You somehow get a test from one of these problems and now you want to know from which one.

Input

In the first line of input there is one integer n (10^{3} ≤ n ≤ 10^{6}).

In the second line there are n distinct integers between 1 and n — the permutation of size n from the test.

It is guaranteed that all tests except for sample are generated this way: First we choose n — the size of the permutation. Then we randomly choose a method to generate a permutation — the one of Petr or the one of Alex. Then we generate a permutation using chosen method.

Output

If the test is generated via Petr's method print "Petr" (without quotes). If the test is generated via Alex's method print "Um_nik" (without quotes).

Example

Input

5
2 4 5 1 3


Output

Petr

Note

Please note that the sample is not a valid test (because of limitations for n) and is given only to illustrate input/output format. Your program still has to print correct answer to this test to get AC.

Due to randomness of input hacks in this problem are forbidden.
import java.io.BufferedReader;
// import java.io.FileInputStream;
// import java.io.FileOutputStream;
import java.io.InputStream;
import java.io.InputStreamReader;
import java.io.IOException;
import java.io.PrintWriter;
import java.util.*;

import static java.lang.Math.*;
import static java.util.Arrays.copyOfRange;
import static java.util.Arrays.fill;
import static java.util.Arrays.sort;

public class Main {
    private FastScanner in;
    private PrintWriter out;

    private void solve() throws IOException {
        solveE();
    }

    private void solveE() throws IOException {
        int n = in.nextInt();
        int[] a = new int[n];
        for (int i = 0; i < n; i++) {
            a[i] = in.nextInt() - 1;
        }

        int[] pos = new int[n];
        for (int i = 0; i < n; i++) {
            pos[a[i]] = i;
        }

        int cnt = 0, pai, pi, w;
        for (int i = 0; i < n; i++) {
            if (a[i] != i) {
                cnt++;
                pai = a[i];
                pi = pos[i];
                a[pi] = a[i];
                a[i] = i;
                pos[pai] = pi;
            }
        }
        out.println(cnt % 2 == n % 2 ? "Petr" : "Um_nik");
    }

    private void solveC() throws IOException {
        int n = in.nextInt();
        long ans = Integer.MAX_VALUE;
        long[] s = new long[n];
        for (int i = 0; i < n; i++) {
            s[i] = in.nextLong();
        }
        long[] c = new long[n];
        for (int i = 0; i < n; i++) {
            c[i] = in.nextLong();
        }
        long l, r;
        for (int j = 0; j < n; j++) {
            l = Integer.MAX_VALUE;
            r = Integer.MAX_VALUE;
            for (int i = 0; i < j; i++) {
                if (s[i] < s[j])
                    l = min(l, c[i]);
            }
            for (int k = j + 1; k < n; k++) {
                if (s[k] > s[j]) {
                    r = min(r, c[k]);
                }
            }
            ans = min(ans, l + c[j] + r);
        }
        out.println(ans == Integer.MAX_VALUE ? -1 : ans);
    }

    private void solveB() throws IOException {
        long x = in.nextLong(), y = in.nextLong();
        if (x == y) {
            out.println("=");
            return;
        }

        if (x == 1) {
            out.println("<");
            return;
        } else if (y == 1) {
            out.println(">");
            return;
        }

        if (x == 2) {
            out.println(y == 3 ? "<" : y == 4 ? "=" : ">");
            return;
        } else if (y == 2) {
            out.println(x == 3 ? ">" : x == 4 ? "=" : "<");
            return;
        }

        out.println(x < y ? ">" : "<");
    }

    private void solveA() throws IOException {
        TreeMap<String, String> map = new TreeMap<>();
        map.put("purple", "Power");
        map.put("green", "Time");
        map.put("blue", "Space");
        map.put("orange", "Soul");
        map.put("red", "Reality");
        map.put("yellow", "Mind");
        int n = in.nextInt();
        for (int i = 0; i < n; i++) {
            map.remove(in.next());
        }
        out.println(6 - n);
        for (String s : map.values())
            out.println(s);
    }

    class FastScanner {
        StringTokenizer st;
        BufferedReader br;

        FastScanner(InputStream s) {
            br = new BufferedReader(new InputStreamReader(s));
        }

        String next() throws IOException {
            while (st == null || !st.hasMoreTokens())
                st = new StringTokenizer(br.readLine());
            return st.nextToken();
        }

        boolean hasNext() throws IOException {
            return br.ready() || (st != null && st.hasMoreTokens());
        }

        int nextInt() throws IOException {
            return Integer.parseInt(next());
        }

        long nextLong() throws IOException {
            return Long.parseLong(next());
        }

        double nextDouble() throws IOException {
            return Double.parseDouble(next().replace(',', '.'));
        }

        String nextLine() throws IOException {
            return br.readLine();
        }

        boolean hasNextLine() throws IOException {
            return br.ready();
        }
    }

    private void run() throws IOException {
        in = new FastScanner(System.in); // new FastScanner(new FileInputStream(".in"));
        out = new PrintWriter(System.out); // new PrintWriter(new FileOutputStream(".out"));

        solve();

        out.flush();
        out.close();
    }

    public static void main(String[] args) throws IOException {
        new Main().run();
    }
}