|시간 제한||메모리 제한||제출||정답||맞은 사람||정답 비율|
|1 초||256 MB||0||0||0||0.000%|
Chiaki has $n$ strings $s_1,s_2,\dots,s_n$ consisting of '
(' and '
)'. A string of this type is said to be balanced:
Chiaki can reorder the strings and then concatenate them get a new string $t$. Let $f(t)$ be the length of the longest balanced subsequence (not necessary continuous) of $t$. Chiaki would like to know the maximum value of $f(t)$ for all possible $t$.
There are multiple test cases. The first line of input contains an integer $T$, indicating the number of test cases. For each test case:
The first line contains an integer $n$ ($1 \le n \le 10^5$) -- the number of strings.
Each of the next $n$ lines contains a string $s_i$ ($1 \le |s_i| \le 10^5$) consisting of '
(' and '
It is guaranteed that the sum of all $|s_i|$ does not exceeds $5 \times 10^6$.
For each test case, output an integer denoting the answer.
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