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.
#include <bits/stdc++.h>
#pragma comment(linker, "/stack:200000000")
#pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,tune=native")
#pragma GCC optimize("unroll-loops")
using namespace std;
template <typename T>
constexpr int infValue =
    std::is_same<T, int>::value ? 2000100007 : 8600000000000000007ll;
template <typename T>
constexpr int maxValue =
    std::is_same<T, int>::value ? 1000000007 : 1000000000000000001ll;
const int INF = infValue<int>;
const long long MOD = 1000000007ll;
const double EPS = 1e-6;
const int MAX = maxValue<int>;
int n, cnt;
int a[1000110], idx[1000110];
int main(void) {
  scanf("%d", &n);
  for (register int i = 1; i <= n; ++i) scanf("%d", a + i), idx[a[i]] = i;
  for (register int i = 1; i <= n; ++i) {
    if (a[i] != i) {
      ++cnt;
      int v = a[i];
      swap(a[i], a[idx[i]]);
      idx[v] = idx[i];
      idx[i] = i;
    }
  }
  puts(cnt & 1 && n & 1 || !(n & 1) && !(cnt & 1) ? "Petr" : "Um_nik");
  return 0;
}
