1112 - John

Time Limit : 1 Second

Memory Limit : 128 MB

Submission: 15

Solved: 8

Description
Little John is playing very funny game with his younger brother. There is one big box filled
with M&Ms of different colors. At first John has to eat several M&Ms of the same color. Then his
opponent has to make a turn. And so on. Please note that each player has to eat at least one
M&M during his turn. If John (or his brother) will eat the last M&M from the box he will be
considered as a looser and he will have to buy a new candy box.
Both of players are using optimal game strategy. John starts first always. You will be given
information about M&Ms and your task is to determine a winner of such a beautiful game.
Input
The first line of input will contain a single integer T – the number of test cases. Next T pairs of
lines will describe tests in a following format. The first line of each test will contain an integer N –
the amount of different M&M colors in a box. Next line will contain N integers Ai, separated by
spaces – amount of M&Ms of i-th color.
Output
Output T lines each of them containing information about game winner. Print “John” if John
will win the game or “Brother” in other case.
Constrains:
1 <= T <= 474,
1 <= N <= 47,
1 <= Ai <= 4747
sample input
2 
3 
3 5 1 
1 
1 
sample output
John 
Brother 
hint
source
Southeastern European Regional Programming Contest Bucharest, Romania October 27, 2007
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