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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.

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