import java.util.Arrays;
import java.util.Scanner;


public class Main_yukicoder266 {

	public static void main(String[] args) {
        Scanner sc = new Scanner(System.in);

        final int INF = Integer.MAX_VALUE / 2;
        int n = sc.nextInt();
        int[] s = new int[n + 1];
        for (int i = 0; i <= n; i++) {
        	s[i] = sc.nextInt();
        }

        int[][] dp = new int[n + 1][10 + 1];
        for (int i = 0; i <= n; i++) {
        	Arrays.fill(dp[i], INF);
        }
        dp[0][0] = 1;
        for (int i = 0; i <= n; i++) {
        	for (int j = 0; j <= 10; j++) {
        		if (j > s[i]) {
        			break;
        		}
        		if (i > 0) {
        			dp[i][j] = dp[i - 1][j] + 1;
        		}
        		for (int k = 0; k < j; k++) {
        			for (int l = 0; l < j; l++) {
        				if (j != s[n] && k + l + 1 == j) {
        					dp[i][j] = Math.min(dp[i][j], dp[i][k] + dp[i][l]);
        				} else if (j == s[n] && k + l + 1 >= j) {
        					dp[i][j] = Math.min(dp[i][j], dp[i][k] + dp[i][l]);
        				}
        			}
        		}
        	}
        }

        for (int i = 0; i <= s[n]; i++) {
        	if (i > 0) {
        		System.out.print(" ");
        	}
        	System.out.print(dp[n][i]);
        }
        System.out.println("");

        sc.close();
    }
}