#include<bits/stdc++.h>
#define int long long

using namespace std;

signed main()
{
    ios_base::sync_with_stdio(false);
    cin.tie(0); cout.tie(0);
//    freopen("test.inp", "r", stdin);
//    freopen("test.out", "w", stdout);
    string s; cin >> s;
    stack<int> st;
    st.emplace(0);
    vector<tuple<char, int,int>> op;
    int ans = 0;
    for (char c : s)
    {
        if (c != '-')
            op.emplace_back(c, 0, ans);
        else
        {
            auto [ch, val, pre] = op.back();
            op.pop_back();
            ans = pre;
            if (ch == '(') st.pop();
            else
            {
                int x = st.top();
                st.pop();
                st.emplace(x - 1);
                st.emplace(val);
            }
        }
        if (c == '(')
            st.emplace(0);
        if (c == ')')
        {
            if (st.size() > 1)
            {
                int pre = st.top();
                op.pop_back();
                op.emplace_back(c, pre, ans);
                st.pop();
                int x = st.top() + 1;
                st.pop();
                st.emplace(x);
                ans += x;
            }
        }
        cout << ans << "\n";
    }
}