#include <set>
#include <deque>
#include <vector>
#include <iostream>
#include <algorithm>
using namespace std;
int main() {
	cin.tie(0);
	ios_base::sync_with_stdio(false);
	int N;
	cin >> N;
	vector<long long> A(N + 1);
	for (int i = 0; i < N; ++i) {
		cin >> A[i + 1];
		A[i + 1] += A[i];
	}
	// minimize (A[i] - A[j]) + (i - j)^2 = (A[i] + i * i) + (-A[j] + j * j) - 2 * j * i for each i
	vector<long long> intercept(N + 1), slope(N + 1);
	for (int i = 0; i <= N; ++i) {
		intercept[i] = -A[i] + 1LL * i * i;
		slope[i] = -2 * i;
	}
	vector<int> seq(N + 1);
	deque<int> que;
	for (int i = 0; i <= N; ++i) {
		if (i >= 1) {
			seq[i] = que[0];
		}
		while (que.size() >= 2) {
			int pa = que[que.size() - 2];
			int pb = que[que.size() - 1];
			double cra = -double(intercept[pa] - intercept[i]) / (slope[pa] - slope[i]);
			double crb = -double(intercept[pb] - intercept[i]) / (slope[pb] - slope[i]);
			if (cra > crb) que.pop_back();
			else break;
		}
		que.push_back(i);
		while (que.size() >= 2) {
			int pa = que[0];
			int pb = que[1];
			long long va = 1LL * slope[pa] * (i + 1) + intercept[pa];
			long long vb = 1LL * slope[pb] * (i + 1) + intercept[pb];
			if (va > vb) que.pop_front();
			else break;
		}
	}
	vector<vector<long long> > qs;
	for (int i = 1; i <= N; ++i) {
		for (int j = seq[i - 1]; j <= seq[i]; ++j) {
			qs.push_back({ A[i] - A[j] + 1LL * (i - j) * (i - j), j, i });
		}
	}
	sort(qs.begin(), qs.end());
	set<int> st;
	for (int i = 0; i < N; ++i) {
		st.insert(i);
	}
	vector<long long> ans(N);
	for (vector<long long> i : qs) {
		set<int>::iterator it = st.lower_bound(i[1]);
		while (it != st.end() && *it < i[2]) {
			ans[*it] = i[0];
			it = st.erase(it);
		}
	}
	for (int i = 0; i < N; ++i) {
		cout << ans[i] << '\n';
	}
	return 0;
}