#include<iostream>
#include<cstring>
#include<cstdio>
#include<algorithm>
using namespace std;

int main()
{
    int T;
    string s;
    cin >> T;
    while(T--)
    {
        cin >> s;
        int len = s.length(),cnt = 0,ans = 0;
        for(int i = 0;i < len;i++)
        {
            if(s[i] == ‘(‘)    cnt++;
            else if(cnt)
            {
                cnt--;
                ans += 2;
            }
        }
        cout << ans << endl;
    }
    return 0;
}