B. Blank Space
time limit per test
1 second
memory limit per test
256 megabytes
input
standard input
output
standard output

You are given a binary array $$$a$$$ of $$$n$$$ elements, a binary array is an array consisting only of $$$0$$$s and $$$1$$$s.

A blank space is a segment of consecutive elements consisting of only $$$0$$$s.

Your task is to find the length of the longest blank space.

Input

The first line contains a single integer $$$t$$$ ($$$1 \leq t \leq 1000$$$) — the number of test cases.

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

The second line of each test case contains $$$n$$$ space-separated integers $$$a_i$$$ ($$$0 \leq a_i \leq 1$$$) — the elements of the array.

Output

For each test case, output a single integer — the length of the longest blank space.

Example
Input
5
5
1 0 0 1 0
4
0 1 1 1
1
0
3
1 1 1
9
1 0 0 0 1 0 0 0 1
Output
2
1
1
0
3