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#include <iostream>
#include <string>

using namespace std;

bool fn(string& u)
{
    int count = 0;
    for (int i = 0; i < u.size(); i++)
    {
        if (u[i] == '(')
            count++;

        if (count == 0 && u[i] == ')')
            return false;
        else if (count > 0 && u[i] == ')')
            count--;
    }

    return true;
}

string fn2(string u, string v, string& vv, string st)
{
    if (vv == "")
        return "";

    int count1 = 0;
    int count2 = 0;

    for (int i = 0; i < vv.size(); i++)
    {
        if (vv[i] == '(')
            count1++;
        else
            count2++;

        if (count1 == count2)
        {
            u = vv.substr(0, i + 1);
            v = vv.substr(i + 1);
            //cout << u << endl;
            //cout << v << endl;

            if (!fn(u))
            {
                st = '(' + fn2("", "", v, "") + ')';
                u.erase(u.begin());
                u.pop_back();
                for (int k = 0; k < u.size(); k++)
                {
                    if (u[k] == ')')
                        u[k] = '(';
                    else
                        u[k] = ')';
                }
                st += u;
                return st;
            }
            else
            {
                st += u;
                st += fn2("", "", v, "");
                return st;
            }
        }
    }
}

string solution(string p) 
{
    string u = "";
    string v = "";
    string st = "";
    int count1 = 0; // ( 갯수체크
    int count2 = 0; // ) 갯수체크

    for (int i = 0; i < p.size(); i++)
    {
        if (p[i] == '(')
            count1++;
        else
            count2++;

        if (count1 == count2)
        {
            u = p.substr(0, i + 1);
            v = p.substr(i + 1);
            //cout << u << endl;
            //cout << v << endl;
            if (!fn(u))
            {
                st = '(' + fn2("", "", v, "") + ')';
                u.erase(u.begin());
                u.pop_back();
                for (int k = 0; k < u.size(); k++)
                {
                    if (u[k] == ')')
                        u[k] = '(';
                    else
                        u[k] = ')';
                }
                st += u;
                return st;
            }
            else
            {
                st += u;
                st += fn2("", "", v, "");
                return st;
            }
        }
    }
}