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.IOException;
import java.io.InputStream;
import java.io.InputStreamReader;
import java.io.PrintWriter;
import java.util.Arrays;
import java.util.StringTokenizer;
import java.util.TreeSet;

public class E {
	public static void main(String[] args) throws IOException {
		FastScanner in= new FastScanner(System.in);
		PrintWriter out= new PrintWriter(System.out);
		
		int n= in.nextInt();
		int [] a= new int[n];
		FenwickTree ft= new FenwickTree(n);
		long num=0;
		
		for (int i = 0; i < a.length; i++) {
			a[i]= in.nextInt();
			num+= ft.rsq(a[i], n);
			ft.update(a[i], 1);
		}
		if(num%2==n%2) System.out.println("Petr");
		else System.out.println("Um_nik");
		
		
		
	}
	static class p implements Comparable<p>{
		int x;
		int y;
		public p(int a, int b) {
			x=a;
			y=b;
		}
		public int compareTo(p o) {
			return this.x-o.x;
		}
	}
	static class FenwickTree {
		long[] ft;
		public FenwickTree(int n) {
			ft = new long[n + 1];
		}

		int rsq(int b) {
			int sum = 0;
			for (; b > 0; b -= (b & (-b)))
				sum += ft[b];
			return sum;
		}

		int rsq(int a, int b) {
			return rsq(b) - (a == 1 ? 0 : rsq(a - 1));
		}

		void update(int k, int v) {
			for (; k < ft.length; k += (k & (-k)))
				ft[k] += v;
		}
	}

	static class FastScanner {
		BufferedReader br;
		StringTokenizer st;

		public FastScanner(InputStream in) {
			br = new BufferedReader(new InputStreamReader(in));
			st = new StringTokenizer("");
		}

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

		public int nextInt() throws IOException {
			return Integer.parseInt(next());
		}
		public double nextDouble() throws NumberFormatException, IOException {
			return Double.parseDouble(next());
		}
		public long nextLong() throws IOException {
			return Long.parseLong(next());
		}
	}
}