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C. Thanos Nim

time limit per test

1 secondmemory limit per test

256 megabytesinput

standard inputoutput

standard outputAlice and Bob are playing a game with $$$n$$$ piles of stones. It is guaranteed that $$$n$$$ is an even number. The $$$i$$$-th pile has $$$a_i$$$ stones.

Alice and Bob will play a game alternating turns with Alice going first.

On a player's turn, they must choose exactly $$$\frac{n}{2}$$$ nonempty piles and independently remove a positive number of stones from each of the chosen piles. They can remove a different number of stones from the piles in a single turn. The first player unable to make a move loses (when there are less than $$$\frac{n}{2}$$$ nonempty piles).

Given the starting configuration, determine who will win the game.

Input

The first line contains one integer $$$n$$$ ($$$2 \leq n \leq 50$$$) — the number of piles. It is guaranteed that $$$n$$$ is an even number.

The second line contains $$$n$$$ integers $$$a_1, a_2, \ldots, a_n$$$ ($$$1 \leq a_i \leq 50$$$) — the number of stones in the piles.

Output

Print a single string "Alice" if Alice wins; otherwise, print "Bob" (without double quotes).

Examples

Input

2 8 8

Output

Bob

Input

4 3 1 4 1

Output

Alice

Note

In the first example, each player can only remove stones from one pile ($$$\frac{2}{2}=1$$$). Alice loses, since Bob can copy whatever Alice does on the other pile, so Alice will run out of moves first.

In the second example, Alice can remove $$$2$$$ stones from the first pile and $$$3$$$ stones from the third pile on her first move to guarantee a win.

Codeforces (c) Copyright 2010-2023 Mike Mirzayanov

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