Andy wants to play a game with his little brother, Bob. The game starts with an array of distinct integers and the rules are as follows:

- Bob always plays first.
- In a single move, a player chooses the maximum element in the array. He removes it and all elements to its right. For example, if the starting array , then it becomes after removing .
- The two players alternate turns.
- The last player who can make a move wins.

Andy and Bob play games. Given the initial array for each game, find and print the name of the winner on a new line. If Andy wins, print `ANDY`

; if Bob wins, print `BOB`

.

To continue the example above, in the next move Andy will remove . Bob will then remove and win because there are no more integers to remove.

**Function Description**

Complete the *gamingArray* function in the editor below.

gamingArray has the following parameter(s):

*int arr[n]:*an array of integers

**Returns**

- *string:* either `ANDY`

or `BOB`

**Input Format**

The first line contains a single integer , the number of games.

Each of the next pairs of lines is as follows:

- The first line contains a single integer, , the number of elements in .
- The second line contains distinct space-separated integers where .

**Constraints**

- Array contains distinct integers.

For of the maximum score:

- The sum of over all games does not exceed .

For of the maximum score:

- The sum of over all games does not exceed .

**Sample Input 0**

```
2
5
5 2 6 3 4
2
3 1
```

**Sample Output 0**

```
ANDY
BOB
```

**Explanation 0**

Andy and Bob play the following two games:

Initially, the array looks like this:

In the first move, Bob removes and all the elements to its right, resulting in :

In the second move, Andy removes and all the elements to its right, resulting in :

At this point, the array is empty and Bob cannot make any more moves. This means Andy wins, so we print

`ANDY`

on a new line.In the first move, Bob removes and all the elements to its right, resulting in . As there are no elements left in the array for Andy to make a move, Bob wins and we print

`BOB`

on a new line.

**Sample Input 1**

```
2
5
1 3 5 7 9
5
7 4 6 5 9
```

**Sample Output 1**

```
BOB
ANDY
```

**Explanation 1**

In the first test, they alternate choosing the rightmost element until the end. Bob, Andy, Bob, Andy, Bob.

In the second case, Bob takes , Andy takes .