Problem: There are n piles of stones, where the i-th pile has a_i stones. Two people play a game, where they take alternating turns removing stones.

In a move, a player may remove a positive number of stones from the first non-empty pile (the pile with the minimal index, that has at least one stone). The first player who cannot make a move (because all piles are empty) loses the game. If both players play optimally, determine the winner of the game.

Input

The first line contains a single integer t (1≤ t≤ 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≤ n≤ 10^5) — the number of piles.

The second line of each test case contains n integers a_1,…,a_n (1≤ a_i≤ 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".

Example

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


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. 

Solution (in PYTHON3):

Solution:

import sys
sys.setrecursionlimit(10000)
# default is 1000 in python


t = int(input())
# t = 1

for _ in range(t):
	n = int(input())

	a = list(map(int, input().split()))

	ones = 0
	for i in a[:-1]:
		if i != 1:
			break
		else:
			ones +=1 
	if ones % 2 == 0:
		print("First")
	else:
		print("Second")



# try:
	# raise Exception
# except:
	# print("-1")


# from collections import OrderedDict 
# mydict = OrderedDict() 


# thenos.sort(key=lambda x: x[2], reverse=True)

# int(math.log(max(numbers)+1,2))

# 2**3 (power)

# a,t = (list(x) for x in zip(*sorted(zip(a, t))))

# to copy lists use .copy()

# pow(p, si, 1000000007) for modular exponentiation

# my_dict.pop('key', None)
# This will return my_dict[key] if key exists in the dictionary, and None otherwise.



# bin(int('010101', 2))