시간 제한 | 메모리 제한 | 제출 | 정답 | 맞힌 사람 | 정답 비율 |
---|---|---|---|---|---|
1 초 | 256 MB | 36 | 10 | 9 | 50.000% |
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.
2 1 )()(()( 2 ) )(
4 2