A8819 | Furlo and Rublo and Game

Furlo and Rublo play a game. The table has $n$ piles of coins lying on it, the $i$ -th pile has $a_{i}$ coins. Furlo and Rublo move in turns, Furlo moves first. In one move you are allowed to:

- choose some pile, let's denote the current number of coins in it as $x$ ;
- choose some integer $y$ $(0<=y<x; x^{1/4}<=y<=x^{1/2})$ and decrease the number of coins in this pile to $y$ . In other words, after the described move the pile will have $y$ coins left.

The player who can't make a move, loses.

Your task is to find out, who wins in the given game if both Furlo and Rublo play optimally well.

The first line contains integer $n$ $(1<=n<=77777)$ — the number of piles. The next line contains $n$ integers $a_{1},a_{2},...,a_{n}$ $(1<=a_{i}<=777777777777)$ — the sizes of piles. The numbers are separated by single spaces.

Please, do not use the %lld specifier to read or write 64-bit integers in С++. It is preferred to use the cin, cout streams or the %I64d specifier.

If both players play optimally well and Furlo wins, print "Furlo", otherwise print "Rublo". Print the answers without the quotes.