#include <bits/stdc++.h>
using namespace std;
#define int long long
#define double long double
signed main(){
	cin.tie(nullptr)->sync_with_stdio(false);
	int n,m;
	cin >> n >> m;
	vector<int>a(m+1);
	for(int i = 1; i<=m; i++){
		cin >> a[i];
	}
	vector<vector<double>>dp(n+1,vector<double>(n+1));
	vector<vector<double>>psa(n+1,vector<double>(n+1));
	dp[0][n] = 1;
	for(int t = 1; t<=n; t++){
		for(int i = n-1; i>=1; i--){
			double p = ((double)1.0)/(n-i);
			for(int j = i+1; j<=n; j++){
				dp[t][i] += dp[t-1][j]*p;
			}
		}
	}
	for(int t = n-1; t>=1; t--){
		for(int i = 1; i<=n; i++){
			psa[t][i] = dp[t][i];
			psa[t][i]+=psa[t+1][i];
		}
	}
	cout << fixed << setprecision(12);
	for(int i = 1; i<=m; i++){
		double ans = 0;
		for(int t = 1; t<=n; t++){
			double p = dp[t][a[i]];
			for(int j = 1; j<=m; j++){
				if(j==i)continue;
				p*=psa[t][a[j]];
			}
			ans+=p;
		}
		cout << ans;
		if(i<m)cout << ' ';
	}
	cout << '\n';
	return 0;
}