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## Hackerrank - Gaming Array Solution

Beeze Aal

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 and the two players move in alternating turns.
• In a single move, a player chooses the maximum element currently present in the array and removes it as well as all the other elements to its right. For example, if the starting array , then it becomes  after the first move because we remove the maximum element (i.e., ) and all elements to its right (i.e.,  and ).
• The modifications made to the array during each turn are permanent, so the next player continues the game with the remaining array. The first player who is unable to make a move loses the game.

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. It should return a string that represents the winner, either ANDY or BOB.

gamingArray has the following parameter(s):

• arr: an array of integers

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 .

Output Format

For each game, print the name of the winner on a new line (i.e., either BOB or ANDY).

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.

1. 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 .

### Solution in Python

def gamingArray(arr):
maxval = 0
maxarr = {}
newarr = {}
for index,value in enumerate(arr):
maxval = max(value,maxval)
maxarr[index] = maxval
newarr[value] = index
bobwin = False
while index >= 0:
maxval = maxarr[index]
index  = newarr[maxval]-1
bobwin = not bobwin
return "BOB" if bobwin else "ANDY"

for _ in range(int(input())):
n = int(input())
arr = list(map(int,input().split()))
print(gamingArray(arr))