A15369 | Rebellion

You have an array $a$ of size $n$ consisting only of zeroes and ones. You can do the following operation:

- choose two indices $1 \le i , j \le n$ , $i \ne j$ ,
- add $a_{i}$ to $a_{j}$ ,
- remove $a_{i}$ from $a$ .

Note that elements of $a$ can become bigger than $1$ after performing some operations. Also note that $n$ becomes $1$ less after the operation.

What is the minimum number of operations needed to make $a$ non-decreasing, i. e. that each element is not less than the previous element?

Each test contains multiple test cases. The first line contains the number of test cases $t$ ( $1 \le t \le 10^4$ ). The description of the test cases follows.

The first line of each test case contains an integer $n$ ( $1 \le n \le 10^5$ ), the size of array $a$ .

Next line contains $n$ integers $a_{1}, a_{2}, \ldots a_{n}$ ( $a_i$ is $0$ or $1$ ), elements of array $a$ .

It's guaranteed that sum of $n$ over all test cases doesn't exceed $2 \cdot 10^5$ .

For each test case print a single integer, minimum number of operations needed to make $a$ non-decreasing.