Problem
Some lessons at school for Vanya and Petya very boring. During these lessons, Petya and Vanya came up with a game. First, the boys write down on a piece of paper two different natural numbers a and b .
The course of the game is as follows: among the written numbers, choose p and q such that the modulus of their difference \(| p - q |\) not yet on the sheet, and add it.
The one who cannot make a move loses.
Determine which of the guys will be the winner if both play correctly. Vanya is a polite boy, so he always goes second.
Input: The first and only line contains two different natural numbers 1 <= a , b <= 10^9 separated by a space - the two original numbers on the sheet.
Output: Print the name of the winner of this game (Petya or Vanya)
Note: In the first example, Petya's first move is to add the number |6−2| = 4 to the sheet. There are no more moves, so Petya wins. In the second example, the number |4−1| = 3 will be added to the sheet as the first move. Then Vanya can write down |3−1| = 2 , then Petya will have no moves left. Vanya wins.
Examples
| # |
Input |
Output |
| 1 |
6 2 |
Petya |
| 2 |
4 1 |
Vanya |
Запрещенные операторы: gcd