import java.util.Scanner;

public class Yuki_596 {

    public Yuki_596() {
        Scanner scanner = new Scanner(System.in);
        int N = scanner.nextInt();
        int[] S = new int[N + 1];
        for (int i = 0; i <= N; i++) {
            S[i] = scanner.nextInt();
        }
        int T = S[S.length - 1] + 1;

        int[][] dp = new int[N + 1][T];
        for (int i = 1; i <= N; i++) {
            dp[i][0] = i + 1;
        }
        for (int i = 0; i <= S[0]; i++) {
            dp[0][i] = i + 1;
        }

        for (int i = 1; i <= N; i++) {
            for (int j = 1; j <= T; j++) {
                if (j > S[i]) {
                    continue;
                }
                dp[i][j] = dp[i][0] + dp[i][j - 1];
                for (int k = 0; k < j; k++) {
                    dp[i][j] = Math.min(dp[i][j], dp[i][k] + dp[i][j - k - 1]);
                }

                if (dp[i - 1][j] > 0) {
                    dp[i][j] = Math.min(dp[i][j], dp[i - 1][j] + 1);
                }
            }
        }

        for (int i = 0; i < T; i++) {
            if (i >= 1) {
                System.out.print(" ");
            }
            System.out.print(dp[N][i]);
        }

    }


    public static void main(String[] args) {
        Yuki_596 hoge = new Yuki_596();
    }
}