A. Penalty Kick
time limit per test
1 second
memory limit per test
256 megabytes
input
standard input
output
standard output

Alice and Bob are watching the World Cup Final. After the match ends in a draw, the result will be decided by a penalty shootout, featuring $$$n$$$ players from both Team A and Team B.

Each player's penalty kick success is determined by their shooting power $$$x_i$$$. A player scores a goal if their shooting power is greater than or equal to half the goalkeeper's height. Otherwise, they miss.

The team with the most goals wins. If both teams score the same number of goals, the winner is determined by the highest individual shooting power from the players on each team.

Alice believes that Team A will win, while Bob thinks Team B will come out on top. Your task is to determine who is correct.

Input

The first line contains a single integer $$$t$$$ ($$$1 \leq t \leq 500$$$) — the number of testcases

  • The first line contains three integers, $$$n$$$ ($$$1 \le n \le 100$$$), $$$m$$$ and $$$k$$$ ($$$1 \le m, k \le 1000$$$), where $$$n$$$ is the number of players on each team, $$$m$$$ is the height of the goalkeeper on Team A, and $$$k$$$ is the height of the goalkeeper on Team B.
  • The second line contains $$$n$$$ integers, $$$a_1, a_2, \dots, a_n$$$ ($$$1 \le a_i \le 1000$$$), representing the shooting powers of the players on Team A.
  • The third line contains $$$n$$$ integers, $$$b_1, b_2, \dots, b_n$$$ ($$$1 \le b_i \le 1000$$$), representing the shooting powers of the players on Team B.

It is guaranteed that everyones shooting power is distinct

Output

If team A wins print Alice else print Bob

Example
Input
2
5 4 6
1 6 4 8 7
2 3 9 5 10
5 4 6
1 2 3 4 5
6 7 8 9 10
Output
Bob
Bob