Solve the programming task below in a Python markdown code block.
There are N piles where the i^{th} pile consists of A_{i} stones.

Chef and Chefina are playing a game taking alternate turns with Chef starting first.  
In his/her turn, a player can choose any non-empty pile and remove exactly 1 stone from it. 

The game ends when exactly 2 piles become empty. The player who made the last move wins.  
Determine the winner if both players play optimally.

------ Input Format ------ 

- The first line of input will contain a single integer T, denoting the number of test cases.
- Each test case consists of multiple lines of input.
- The first line of each test case contains a single integer N denoting the number of piles.
- Next line contains N space-separated integers A_{1}, A_{2}, \dots, A_{N} - denoting the number of stones in each pile.

------ Output Format ------ 

For each test case, output CHEF if Chef wins the game, otherwise output CHEFINA.

Note that the output is case-insensitive i.e. CHEF, Chef, cHeF, and chef are all considered the same.

------ Constraints ------ 

$1 ≤ T ≤ 1000$
$2 ≤ N ≤ 10^{5}$
$1 ≤ A_{i} ≤ 10^{9}$
- Sum of $N$ over all test cases does not exceed $2 \cdot 10^{5}$.

----- Sample Input 1 ------ 
2
2
5 10
3
1 1 3

----- Sample Output 1 ------ 
CHEF
CHEFINA

----- explanation 1 ------ 
Test Case $1$: The game will end when both piles become empty. Thus, the game will last exactly $15$ moves with last move made by Chef.

Test Case $2$: It can be shown that Chefina has a winning strategy.