#include <bits/stdc++.h>
using namespace std;
using ll = long long;
#define rep(i, n) for (int i = 0; i < (n); i++)
#define repr(i, n) for (int i = (n) - 1; i >= 0; i--)
#define range(a) a.begin(), a.end()

using i128 = __int128_t;

struct CHT {
  struct point {
    i128 x, y;
    point(long long x_ = 0, long long y_ = 0) : x(x_), y(y_) {}

    friend point operator-(point a, point b) {
      a.x -= b.x;
      a.y -= b.y;
      return a;
    }
  };
  
  i128 cross(point a, point b) {
    return (i128)a.x * b.y - (i128)a.y * b.x;
  }

  deque<point> H;

  long long eval(point a, long long x) {
    return a.x * x + a.y;
  }

  void push(long long x, long long y) {
    point p(x, y);
    while (H.size() >= 2 && cross(H[H.size() - 1] - H[H.size() - 2], p - H[H.size() - 1]) >= 0) {
      H.pop_back();
    }
    H.push_back(p);
  }

  long long maximum(long long x) {
    if (H.empty()) return -1e18;
    while (H.size() >= 2 && eval(H[0], x) <= eval(H[1], x)) H.pop_front();
    return eval(H[0], x);
  }
};

int main() {
  int N; cin >> N;
  vector<ll> A(N + 1); rep(i, N) cin >> A[i];
  vector<ll> S(N + 2); rep(i, N + 1) S[i + 1] = S[i] + A[i];
  vector<vector<ll>> dp(N + 2, vector<ll>(N + 2, 1e18));
  dp[0][0] = 0;
  vector<CHT> cht(N + 2);
  constexpr ll inf = 1e18;
  cht[0].push(0, 0);
  for (int i = 0; i <= N; i++) {
    for (int j = 0; j <= N; j++) {
      ll v = -cht[j].maximum(S[i]);
      if (v == inf) continue;
      dp[i + 1][j + 1] = v + S[i] * S[i];
      cht[j + 1].push(2*S[i+1], -dp[i+1][j+1] - S[i+1]*S[i+1]);
    }
  }
  for (int i = N; i >= 1; i--) {
    cout << dp[N+1][i] << endl;
  }
}