B. Circle Game
time limit per test
1 second
memory limit per test
256 megabytes
input
standard input
output
standard output

Mike and Joe are playing a game with some stones. Specifically, they have $$$n$$$ piles of stones of sizes $$$a_1, a_2, \ldots, a_n$$$. These piles are arranged in a circle.

The game goes as follows. Players take turns removing some positive number of stones from a pile in clockwise order starting from pile $$$1$$$. Formally, if a player removed stones from pile $$$i$$$ on a turn, the other player removes stones from pile $$$((i\bmod n) + 1)$$$ on the next turn.

If a player cannot remove any stones on their turn (because the pile is empty), they lose. Mike goes first.

If Mike and Joe play optimally, who will win?

Input

Each test contains multiple test cases. The first line contains the number of test cases $$$t$$$ ($$$1 \le t \le 1000$$$). Description of the test cases follows.

The first line of each test case contains a single integer $$$n$$$ ($$$1 \le n \le 50$$$)  — the number of piles.

The second line contains $$$n$$$ integers $$$a_1, a_2, \ldots, a_n$$$ ($$$1 \le a_i \le 10^9$$$)  — the size of the piles.

Output

For each test case print the winner of the game, either "Mike" or "Joe" on its own line (without quotes).

Example
Input
2
1
37
2
100 100
Output
Mike
Joe
Note

In the first test case, Mike just takes all $$$37$$$ stones on his first turn.

In the second test case, Joe can just copy Mike's moves every time. Since Mike went first, he will hit $$$0$$$ on the first pile one move before Joe does so on the second pile.