Sequential Nim

Description:

Input:

The first line contains a single integer $$$t$$$ ($$$1\le t\le 1000$$$)  — the number of test cases. Next $$$2t$$$ lines contain descriptions of test cases.

The first line of each test case contains a single integer $$$n$$$ ($$$1\le n\le 10^5$$$)  — the number of piles.

The second line of each test case contains $$$n$$$ integers $$$a_1,\ldots,a_n$$$ ($$$1\le a_i\le 10^9$$$)  — $$$a_i$$$ is equal to the number of stones in the $$$i$$$-th pile.

It is guaranteed that the sum of $$$n$$$ for all test cases does not exceed $$$10^5$$$.

Output:

For each test case, if the player who makes the first move will win, output "First". Otherwise, output "Second".

Sample Input:

7
3
2 5 4
8
1 1 1 1 1 1 1 1
6
1 2 3 4 5 6
6
1 1 2 1 2 2
1
1000000000
5
1 2 2 1 1
3
1 1 1

Sample Output:

First
Second
Second
First
First
Second
First

Note:

In the first test case, the first player will win the game. His winning strategy is:

1. The first player should take the stones from the first pile. He will take $$$1$$$ stone. The numbers of stones in piles will be $$$[1, 5, 4]$$$.
2. The second player should take the stones from the first pile. He will take $$$1$$$ stone because he can't take any other number of stones. The numbers of stones in piles will be $$$[0, 5, 4]$$$.
3. The first player should take the stones from the second pile because the first pile is empty. He will take $$$4$$$ stones. The numbers of stones in piles will be $$$[0, 1, 4]$$$.
4. The second player should take the stones from the second pile because the first pile is empty. He will take $$$1$$$ stone because he can't take any other number of stones. The numbers of stones in piles will be $$$[0, 0, 4]$$$.
5. The first player should take the stones from the third pile because the first and second piles are empty. He will take $$$4$$$ stones. The numbers of stones in piles will be $$$[0, 0, 0]$$$.
6. The second player will lose the game because all piles will be empty.