codeforces - move brackets

#include<bits/stdc++.h>
using namespace std;

#define ll long long
#define fast()(ios_base::sync_with_stdio(0),cin.tie(NULL));
#define pi pair<int , int>
#define mp make_pair
#define f first
#define s second

int main()
{
    fast();
    ll t;
    cin>>t;
    while(t--)
    {
        ll n,cnt=0,c=0,mx=0;
        cin>>n;
        string s;
        cin>>s;
        ll i=0,j=n/2;
        while(i<j)
        {
            if(s[i]=='(')c++;
            else
            {
                if(c>0)
                {
                    c--;
                    //if(cnt>0)cnt--;
                }
                else cnt++;
            }
            i++;

        }
        c=0;
        n--;
        while(n>=j)
        {
            if(s[n]==')')c++;
            else
            {
                if(c>0)
                {
                    c--;
                }
                else mx++;
            }
    n--;
        }
        cout<<max(cnt,mx)<<endl;
    }
}