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

typedef long long ll;

#define deb(...) logger(#__VA_ARGS__, __VA_ARGS__)
template<typename ...Args>
void logger(string vars, Args&&... values) {
  cout << vars << " = ";
  string delim = "";
  (..., (cout << delim << values, delim = ", "));
  cout << '\n';
}

using ld = long double;

void solve() {
  int n, m;
  cin >> n >> m;
  vector<vector<ld>> win(m + 1, vector<ld>(n + 1));
  for (int i = 0; i < m; ++i) {
    int s;
    cin >> s;
    vector<vector<ld>> dp(n, vector<ld>(n + 1));
    dp[0][s] = 1;
    for (int k = 1; k < n; ++k) {
      for (int z = s; z < n; ++z) {
        double p = 1.0 / (n - z);
        for (int x = z + 1; x <= n; ++x) {
          dp[k][x] += dp[k - 1][z] * p;
        }
      }
    }
    for (int k = 1; k < n; ++k) {
      win[i][k] = dp[k][n];
    }
  }
  for (int i = 0; i < m; ++i) {
    double ans = 0;
    for (int j = 1; j < n; ++j) {
      double all = 1;
      for (int k = 0; k < m; ++k) if (k != i) {
        double cur = 0;
        for (int z = 0; z < j; ++z) {
          cur += win[k][z];
        }
        all *= (1 - cur);
      }
      ans += all * win[i][j];
    }
    cout << fixed << setprecision(10) << ans << ' ';
  }
}

int main() {
  ios::sync_with_stdio(false);
  cin.tie(nullptr);
  int t = 1;
  // cin >> t;
  while(t--) {
    solve();
  }
}