#include <bits/stdc++.h>
using namespace std;

using i64 = long long;

constexpr int P = 1e9 + 7;
struct mint {
  int v;
  mint(i64 x = 0) : v(x % P) {v < 0 ? v += P : 0;}
  int val() const {return v;}
  mint operator-() const {
    return -v;
  }
  mint &operator+=(const mint &b) {
    v += b.v - P, v += (v >> 31) & P;
    return *this;
  }
  mint &operator-=(const mint &b) {
    v -= b.v, v += (v >> 31) & P;
    return *this;
  }
  mint &operator*=(const mint &b) {
    v = i64(v) * b.v % P;
    return *this;
  }
  mint &operator/=(const mint &b) {
    return *this *= b.inv();
  }
  mint inv() const {
    return this->pow(P - 2);
  }
  mint pow(i64 b) const {
    mint c{1}, a = *this;
    for (; b; a *= a, b /= 2) {
      if (b & 1) c *= a;
    }
    return c;
  }
  friend mint operator+(mint a, const mint &b) {return a += b;}
  friend mint operator-(mint a, const mint &b) {return a -= b;}
  friend mint operator*(mint a, const mint &b) {return a *= b;}
  friend mint operator/(mint a, const mint &b) {return a /= b;}
  friend ostream &operator<<(ostream &os, const mint &a) {
    return os << a.val();
  }
};

int main() {
  cin.tie(0)->sync_with_stdio(0);
  int n;
  cin >> n;
  vector<int> a(n), s(n + 1);
  for (int i = 0; i < n; i++) {
    cin >> a[i];
    s[i + 1] = s[i] + a[i];
  }
  vector<vector<mint>> f(n, vector<mint>(n));
  vector<int> L(n), R(n);
  vector<mint> sL(n), sR(n), iv(n + 1);
  for (int i = 0; i < n; i++) {
    L[i] = 0;
    R[i] = n - 1;
    iv[i + 1] = mint(i + 1).inv();
  }
  f[0][n - 1] = 1;
  for (int len = n; len >= 1; len--) {
    for (int i = 0; i + len - 1 < n; i++) {
      int j = i + len - 1;
      while (2 * (s[j + 1] - s[i]) < (s[j + 1] - s[L[j]])) {
        sL[j] -= f[L[j]][j] * iv[j - L[j]];
        L[j]++;
      }
      while (2 * (s[j + 1] - s[i]) <= (s[R[i] + 1] - s[i])) {
        sR[i] -= f[i][R[i]] * iv[R[i] - i];
        R[i]--;
      }
      f[i][j] += sR[i] + sL[j];
      sL[j] += f[i][j] * iv[j - i];
      sR[i] += f[i][j] * iv[j - i];
    }
  }
  for (int i = 0; i < n; i++) {
    cout << f[i][i] << "\n";
  }
  return 0;
}