MMMGAME  M&M Game
English  Vietnamese 
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 ith color. Constrains: 1 <= T <= 474, 1 <= N <= 47, 1 <= Ai <= 4747
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.
Sample
Sample input: 2 3 3 5 1 1 1 Sample output: John Brother
hide comments
vengatesh15:
20170313 12:27:51
misere game.. 

pt97:
20160722 20:44:05
https://en.wikipedia.org/wiki/Nim..read it before get into the question 

dushyant_bgs:
20160702 14:20:55
Bouton's theorem!!

Added by:  ~!(*(@*!@^& 
Date:  20090227 
Time limit:  0.25s 
Source limit:  50000B 
Memory limit:  1536MB 
Cluster:  Cube (Intel G860) 
Languages:  All except: ERL JSRHINO NODEJS PERL6 VB.NET 
Resource:  Southeastern European 2007 