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A. Anton and Danik

time limit per test

1 secondmemory limit per test

256 megabytesinput

standard inputoutput

standard outputAnton likes to play chess, and so does his friend Danik.

Once they have played *n* games in a row. For each game it's known who was the winner — Anton or Danik. None of the games ended with a tie.

Now Anton wonders, who won more games, he or Danik? Help him determine this.

Input

The first line of the input contains a single integer *n* (1 ≤ *n* ≤ 100 000) — the number of games played.

The second line contains a string *s*, consisting of *n* uppercase English letters 'A' and 'D' — the outcome of each of the games. The *i*-th character of the string is equal to 'A' if the Anton won the *i*-th game and 'D' if Danik won the *i*-th game.

Output

If Anton won more games than Danik, print "Anton" (without quotes) in the only line of the output.

If Danik won more games than Anton, print "Danik" (without quotes) in the only line of the output.

If Anton and Danik won the same number of games, print "Friendship" (without quotes).

Examples

Input

6

ADAAAA

Output

Anton

Input

7

DDDAADA

Output

Danik

Input

6

DADADA

Output

Friendship

Note

In the first sample, Anton won 6 games, while Danik — only 1. Hence, the answer is "Anton".

In the second sample, Anton won 3 games and Danik won 4 games, so the answer is "Danik".

In the third sample, both Anton and Danik won 3 games and the answer is "Friendship".

Codeforces (c) Copyright 2010-2020 Mike Mirzayanov

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