A

#include <bits/stdc++.h>

using namespace std;

#define ll     long long
#define _test   int _TEST; cin>>_TEST; while(_TEST--)
#define pb     push_back

int main()
{
    _test
    {
        string s;
        cin>>s;

        int n = s.size();

        string a = "";
        string b = "";

        a.pb('(');

        while(a.size() < 2*n)
        {
            if(a.back() == '(')     a.pb(')');
            else                    a.pb('(');
        }

        while(b.size() < n)     b.pb('(');
        while(b.size() < 2*n)   b.pb(')');

        if(a.find(s) == string::npos)
            cout<<"YES\n"<<a<<"\n";
        else if(b.find(s) == string::npos)
            cout<<"YES\n"<<b<<"\n";
        else
            cout<<"NO\n";
    }
}