Simple game? P96833


Statement
 

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Petr and Tourist are playing an interesting game called Simple. Initially there are n tokens, which are taken away by alternating turns with the following rules:

  1. Petr plays first, and he cannot take away all the tokens in the first turn.
  2. In each of the remaining turns the player cannot take away more than 2x tokens, where x is the number of tokens removed in the last turn.
  3. The player that manages to take away the last token wins.

Since the players of this game are bad programmers, they need your help. Given n, who will win the game assuming perfect play?

Input

Input consists of several cases, each with an n between 2 and 106.

Output

For every n, print the name of the winner.

Public test cases
  • Input

    2
    4
    8
    16
    

    Output

    Tourist
    Petr
    Tourist
    Petr
    
  • Information
    Author
    Salvador Roura
    Language
    English
    Official solutions
    C++
    User solutions
    C++