#include <iostream>
#include <fstream>

using namespace std;

char s[1001];
int st[1001], top;
/// st[1] = -1 daca e '('

int main()
{
    int i, x;
    ifstream fin("paranteze.in");
    fin >> s;
    fin.close();

    top = -1;
    for(i = 0; s[i] != 0; i++)
        if(s[i] == '(')
        {
            cout << "0\n";
            st[++top] = -1; /// Push(-1)
        }
        else
        {
            /// a) Ultima pe stiva este '('
            if(top >= 0 && st[top] == -1)
            {
                top--;
                if(top >= 0 && st[top] > 0)
                    st[top] += 2;
                else st[++top] = 2;
                cout << st[top] << "\n";
            }
            /// b) Stiva este vida
            else if(top == -1)
                cout << "0\n";
            else
            {
                /// c.1) st = 4 ) | s = ()())
                if(top == 0)
                {
                    cout << "0\n";
                    top = -1;
                }
                /// c.2) st = -1 4 )
                else
                {
                    x = st[top];
                    top--;
                    x += 2;
                    top--;
                    if(top >= 0 && st[top] > 0)
                        st[top] += x;
                    else
                        st[++top] = x;
                    cout << st[top] << "\n";
                }
            }

        }

    return 0;
}