Unit Array

Description:

Input:

Each test consists of multiple test cases. The first line contains a single integer $$$t$$$ ($$$1 \le t \le 500$$$) — the number of test cases. The description of the test cases follows.

The first line of each test case contains a single integer $$$n$$$ ($$$1 \le n \le 100$$$) — the length of the array $$$a$$$.

The second line of each test case contains $$$n$$$ integers $$$a_1, a_2, \ldots, a_n$$$ ($$$a_i = \pm 1$$$) — the elements of the array $$$a$$$.

Output:

For each test case, output a single integer — the minimum number of operations that need to be done to make the $$$a$$$ array good.

Sample Input:

7
4
-1 -1 1 -1
5
-1 -1 -1 1 1
4
-1 1 -1 1
3
-1 -1 -1
5
1 1 1 1 1
1
-1
2
-1 -1

Sample Output:

1
1
0
3
0
1
2

Note:

In the first test case, we can assign the value $$$a_1 := 1$$$. Then $$$a_1 + a_2 + a_3 + a_4 = 1 + (-1) + 1 + (-1) = 0 \ge 0$$$ and $$$a_1 \cdot a_2 \cdot a_3 \cdot a_4 = 1 \cdot (-1) \cdot 1 \cdot (-1) = 1$$$. Thus, we performed $$$1$$$ operation.

In the second test case, we can assign $$$a_1 := 1$$$. Then $$$a_1 + a_2 + a_3 + a_4 + a_5 = 1 + (-1) + (-1) + 1 + 1 = 1 \ge 0$$$ and $$$a_1 \cdot a_2 \cdot a_3 \cdot a_4 \cdot a_5 = 1 \cdot (-1) \cdot (-1) \cdot 1 \cdot 1 = 1$$$. Thus, we performed $$$1$$$ operation.

In the third test case, $$$a_1 + a_2 + a_3 + a_4 = (-1) + 1 + (-1) + 1 = 0 \ge 0$$$ and $$$a_1 \cdot a_2 \cdot a_3 \cdot a_4 = (-1) \cdot 1 \cdot (-1) \cdot 1 = 1$$$. Thus, all conditions are already satisfied and no operations are needed.

In the fourth test case, we can assign the values $$$a_1 := 1, a_2 := 1, a_3 := 1$$$. Then $$$a_1 + a_2 + a_3 = 1 + 1 + 1 = 3 \ge 0$$$ and $$$a_1 \cdot a_2 \cdot a_3 = 1 \cdot 1 \cdot 1 = 1$$$. Thus, we performed $$$3$$$ operations.