The package for this problem was not updated by the problem writer or Codeforces administration after we've upgraded the judging servers. To adjust the time limit constraint, a solution execution time will be multiplied by 2. For example, if your solution works for 400 ms on judging servers, then the value 800 ms will be displayed and used to determine the verdict.

Virtual contest is a way to take part in past contest, as close as possible to participation on time. It is supported only ICPC mode for virtual contests.
If you've seen these problems, a virtual contest is not for you - solve these problems in the archive.
If you just want to solve some problem from a contest, a virtual contest is not for you - solve this problem in the archive.
Never use someone else's code, read the tutorials or communicate with other person during a virtual contest.

No tag edit access

The problem statement has recently been changed. View the changes.

×
D. Game with Powers

time limit per test

1 secondmemory limit per test

256 megabytesinput

standard inputoutput

standard outputVasya and Petya wrote down all integers from 1 to *n* to play the "powers" game (*n* can be quite large; however, Vasya and Petya are not confused by this fact).

Players choose numbers in turn (Vasya chooses first). If some number *x* is chosen at the current turn, it is forbidden to choose *x* or all of its other positive integer powers (that is, *x*^{2}, *x*^{3}, ...) at the next turns. For instance, if the number 9 is chosen at the first turn, one cannot choose 9 or 81 later, while it is still allowed to choose 3 or 27. The one who cannot make a move loses.

Who wins if both Vasya and Petya play optimally?

Input

Input contains single integer *n* (1 ≤ *n* ≤ 10^{9}).

Output

Print the name of the winner — "Vasya" or "Petya" (without quotes).

Examples

Input

1

Output

Vasya

Input

2

Output

Petya

Input

8

Output

Petya

Note

In the first sample Vasya will choose 1 and win immediately.

In the second sample no matter which number Vasya chooses during his first turn, Petya can choose the remaining number and win.

Codeforces (c) Copyright 2010-2022 Mike Mirzayanov

The only programming contests Web 2.0 platform

Server time: May/25/2022 04:19:02 (g2).

Desktop version, switch to mobile version.

Supported by

User lists

Name |
---|