#include<iostream>
#include <vector>
#include <algorithm>
using namespace std;

int DP[11][11];//evolution,power

int main()
{
	int n; cin >> n;
	vector<int>S(n + 1);
	for (int i = 0; i < n+1; i++){
		cin >> S[i];
	}
	for (int i = 0; i < 11; i++)for (int j = 0; j < 11; j++)DP[i][j] = 1e7;
	DP[0][0] = 1;
	for (int i = 0; i < n+1; i++){
		for (int j = 0; j <= S[S.size() - 1]; j++){
			for (int k = 0; k <= S[S.size() - 1]; k++){
				if (DP[i][j] == 1e7 || DP[i][k] == 1e7)continue;
				if(j+k+1<=S[i])DP[i][j + k + 1] = min(DP[i][j + k + 1], DP[i][j] + DP[i][k]);
			}
		}
		for (int j = 0; j <= S[i]; j++){
			DP[i + 1][j] = DP[i][j] + DP[0][0];
		}
	}

	for (int i = 0; i <=S[S.size() - 1]; i++){
		if (i)cout << " ";
		cout << DP[n][i];
	}
	cout << endl;

	return 0;
}