SP3969 MMMGAME - M&M Game

[Vietnamese](/problems/MMMGAME/vn/) 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.

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 $A_i$, separated by spaces – amount of M&Ms of i-th color. Constrains: $1\le T\le 474$, $1\le N\le 47$, $1\le Ai\le 4747$.

Output T lines each of them containing information about game winner. Print “John” if John will win the game or “Brother” in other case.