#include <iostream>
#include <string>

using namespace std;

int main()
{
    string s;
    long b[100000];
    long balance=0;
    int k1=0;
    int k2=0;
    cin>>s;
    if (s.size()==1)
    {
        cout<<0;
        return 0;
    }
    for (long i=0; i<s.size(); i++)
    {
        if (s[i]=='(')
        {
            balance++;
        }
        else
        {
            balance--;
        }
        b[i] = balance;
    }
    if (balance!=0) {cout<<0;return 0;}

    long minn=9999;
    long gcd=0;
    for (long i=0; i<s.size(); i++)
    {
        if (b[i]<minn)
        {
            minn=b[i];
            gcd = 1;
        }

        else
        {
            if ( minn == b[i])
            {
                gcd++;
            }
        }
    }
    cout<<gcd;
    return 0;

}