bool debug = false;
#include <stdio.h>
#include <deque>
using namespace std;
typedef long long int ll;
constexpr int kN = int(3E3 + 10);
constexpr ll kInf = ll(1E16 + 10);
struct From {
	ll A, B, lim, st;
	int id;
	From(ll a, ll b, ll c, ll d, int e){A = a, B = b, lim = c, st = d, id = e;}
	From(){}
	ll operator ()(ll x){return A * x + B;}
};
int n;
ll a[kN], s[kN], ans[kN], dp[kN][kN];
int main() {
	ll top, nxt;
	From tmp;
	deque<From> dq;
	scanf("%d", &n);
	for (int i = 1; i <= n; i++) scanf("%lld", &a[i]);
	s[0] = 0;
	for (int i = 1; i <= n; i++) s[i] = s[i - 1] + a[i];
	for (int i = 1; i <= n; i++) dp[0][i] = 0;
	for (int i = 1; i <= n; i++) dp[i][0] = s[i] * s[i];
	for (int i = 1; i <= n; i++) {
		top = 0;
		dq.clear();
		dp[1][i] = 0;
		dq.push_back(From(-(s[1] << 1), s[1] * s[1], kInf, 0, 0));
		for (int j = 1; j <= n; j++) {
			while (!dq.empty()) {
				if (dq[0].lim < s[j]) dq.pop_front();
				else break;
			}
			dp[j][i] = dq.front()(s[j]) + s[j] * s[j];
			if (debug) printf("dp[%d][%d] = %lld, dq.front() = %lld, %lld, id = %d\n", j, i, dp[j][i], dq.front().A, dq.front().B, dq.front().id);
			tmp = From(-(s[j + 1] << 1), dp[j][i - 1] + s[j + 1] * s[j + 1], kInf, 0, j); 
			while (!dq.empty()) {
				nxt = (tmp.B - dq.back().B - 1) / (dq.back().A - tmp.A);
				if (dq.back().st > nxt) dq.pop_back();
				else {
					dq.back().lim = nxt;
					tmp.st = nxt + 1;
					break;
				}
			}
			dq.push_back(tmp);
		}
	}

	for (int i = 1; i <= n; i++) printf("%lld\n", dp[n][n - i]);
}