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.**Constraints:
1 <= T <= 474,
1 <= N <= 47,
1 <= A**_{i} <= 4747

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