#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;
    vector<pair<int,char>> st;
    st.emplace_back(0, ')');
    vector<tuple<char, int,int>> op;
    int ans = 0;
    int cnt = 0;
    for (char c : s)
    {
        cnt++;
        if (c != '-')
            op.emplace_back('(', 0, ans);
        else
        {
            auto [ch, val, pre] = op.back();
            op.pop_back();
            ans = pre;
            if (ch == ')')
            {
                auto [x, y] = st.back();
                st.pop_back();
                st.emplace_back(x - 1, y);
                st.emplace_back(val, '(');
            }
            else st.pop_back();
        }
        if (c == '(') st.emplace_back(0, c);
        if (c == ')')
        {
            if (st.back().second == '(')
            {
                auto [pre, ch] = st.back();
                op.pop_back();
                op.emplace_back(c, pre, ans);
                st.pop_back();
                auto [x, y] = st.back();
                x++;
                st.pop_back();
                st.emplace_back(x, y);
                ans += x;
            }
            else st.emplace_back(0, c);
        }
        cout << ans << "\n";
    }
}