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E. Furlo and Rublo and Game

time limit per test

2 secondsmemory limit per test

256 megabytesinput

standard inputoutput

standard outputFurlo 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.

Input

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.

Output

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

Examples

Input

1

1

Output

Rublo

Input

2

1 2

Output

Rublo

Input

10

1 2 3 4 5 6 7 8 9 10

Output

Furlo

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