#include "bits/stdc++.h"

using namespace std;

using ll = long long int;
using ld = long double;

using vi = vector<int>;
using vvi = vector<vi>;
using vvvi = vector<vvi>;
using vl = vector<ll>;
using vvl = vector<vl>;
using vvvl = vector<vvl>;
using vd = vector<double>;
using vvd = vector<vd>;
using vb = vector<bool>;
using vvb = vector<vb>;
using vs = vector<string>;

const int INF = (1 << 30) - 1;
const ll INF64 = ((ll)1 << 62) - 1;
const double PI = 3.1415926535897932384626433832795;

const int dx[] = { -1, 0, 1, 0 };
const int dy[] = { 0, 1, 0, -1 };

int gcd(int x, int y) { return y ? gcd(y, x % y) : x; }
ll gcd(ll x, ll y) { return y ? gcd(y, x % y) : x; }
int lcm(int x, int y) { return x / gcd(x, y) * y; }
ll lcm(ll x, ll y) { return x / gcd(x, y) * y; }

int func(int n, int k, string s) {
	string A = s;

	int ans = 0, cnt;
	stack<int>st;

	if (A[k] == ')') {
		cnt = k;
		for (int i = k;; i--) {
			if (A[i] == ')') {
				st.push(i);
			} else {
				st.pop();
			}

			if (st.empty()) break;
			cnt--;
		}
	} else {
		cnt = k;
		for (int i = k;; i++) {
			if (A[i] == '(') {
				st.push(i);
			} else {
				st.pop();
			}

			if (st.empty()) break;
			cnt++;
		}
	}

	return cnt + 1;
}

int main() {
	ios::sync_with_stdio(false);
	cin.tie(0);

	int n;
	string s;
	cin >> n >> s;

	for (int i = 0; i < n; i++) {
		cout << func(n, i, s) << endl;
	}
	return 0;
}