Two Brackets

题意翻译

### 题目翻译 给定多个字符串，长度总和不超过 $2e5$ ，只包含 $[$ , $]$ , $($ , $)$，左中括号可以和右中括号匹配，左小括号可以和右小括号匹配 左右中括号间可以有未匹配的左右小括号，左右小括号间可以有未匹配的左右中括号 问最大匹配括号对数 ### 提示： 第四组都不能匹配，第五组小括号不能匹配

题目描述

You are given a string $ s $ , consisting of brackets of two types: '(', ')', '\[' and '\]'. A string is called a regular bracket sequence (RBS) if it's of one of the following types: - empty string; - '(' + RBS + ')'; - '\[' + RBS + '\]'; - RBS + RBS. where plus is a concatenation of two strings. In one move you can choose a non-empty subsequence of the string $ s $ (not necessarily consecutive) that is an RBS, remove it from the string and concatenate the remaining parts without changing the order. What is the maximum number of moves you can perform?

输入输出格式

输入格式

The first line contains a single integer $ t $ ( $ 1 \le t \le 1000 $ ) — the number of testcases. Each of the next $ t $ lines contains a non-empty string, consisting only of characters '(', ')', '\[' and '\]'. The total length of the strings over all testcases doesn't exceed $ 2 \cdot 10^5 $ .

输出格式

For each testcase print a single integer — the maximum number of moves you can perform on a given string $ s $ .

输入输出样例

输入样例 #1

5
()
[]()
([)]
)]([
)[(]

输出样例 #1

1
2
2
0
1

说明

In the first example you can just erase the whole string. In the second example you can first erase the brackets on positions $ 1 $ and $ 2 $ : "\[\]()", then "()" is left. After that you can erase it whole. You could erase the whole string from the beginning but you would get one move instead of two. In the third example you can first erase the brackets on positions $ 1 $ and $ 3 $ : "(\[)\]". They form an RBS "()". Then "\[\]" is left, so you can erase it whole. In the fourth example there is no subsequence that is an RBS, so you can't perform a move at all. In the fifth example you can erase the brackets on positions $ 2 $ and $ 4 $ : ")\[(\]" and get ")(" as a result. You can erase nothing from it.