import java.io.IOException;
import java.io.InputStream;
import java.io.PrintWriter;
import java.util.Arrays;
import java.util.NoSuchElementException;

public class Main {
	public static void main(String[] args) {
		new Main().run();
	}
	
	void run() {
		FastScanner sc=new FastScanner();
		PrintWriter pw=new PrintWriter(System.out);
		int N=sc.nextInt();
		int[] S=new int[N+1];
		long[][] dp=new long[N+1][];
		long INF=Long.MAX_VALUE/3;
		for (int i=0;i<=N;++i) {
			S[i]=sc.nextInt();
			dp[i]=new long[S[i]+1];
			Arrays.fill(dp[i], INF);
		}
		dp[0][0]=1;
		for (int i=0;i<=N;++i) {
			for (int nk=1;nk<=S[i];++nk) {
				for (int a=0;a<nk;++a) {
					int b=(nk-a)-1;
					dp[i][nk]=Math.min(dp[i][nk], dp[i][a]+dp[i][b]);
				}
			}
			if (i!=N) for (int nk=0;nk<=Math.min(S[i],S[i+1]);++nk) dp[i+1][nk]=dp[i][nk]+1;
		}
		for (int i=0;i<=S[N];++i) {
			pw.print(dp[N][i]+(i==S[N]?"\n":" "));
		}
		pw.close();			
		
	}
	
	void tr(Object...objects) {System.out.println(Arrays.deepToString(objects));}
	
}




class FastScanner {
    private final InputStream in = System.in;
    private final byte[] buffer = new byte[1024];
    private int ptr = 0;
    private int buflen = 0;
    private boolean hasNextByte() {
        if (ptr < buflen) {
            return true;
        }else{
            ptr = 0;
            try {
                buflen = in.read(buffer);
            } catch (IOException e) {
                e.printStackTrace();
            }
            if (buflen <= 0) {
                return false;
            }
        }
        return true;
    }
    private int readByte() { if (hasNextByte()) return buffer[ptr++]; else return -1;}
    private static boolean isPrintableChar(int c) { return 33 <= c && c <= 126;}
    private void skipUnprintable() { while(hasNextByte() && !isPrintableChar(buffer[ptr])) ptr++;}
    public boolean hasNext() { skipUnprintable(); return hasNextByte();}
    public String next() {
        if (!hasNext()) throw new NoSuchElementException();
        StringBuilder sb = new StringBuilder();
        int b = readByte();
        while(isPrintableChar(b)) {
            sb.appendCodePoint(b);
            b = readByte();
        }
        return sb.toString();
    }
    public long nextLong() {
        if (!hasNext()) throw new NoSuchElementException();
        long n = 0;
        boolean minus = false;
        int b = readByte();
        if (b == '-') {
            minus = true;
            b = readByte();
        }
        if (b < '0' || '9' < b) {
            throw new NumberFormatException();
        }
        while(true){
            if ('0' <= b && b <= '9') {
                n *= 10;
                n += b - '0';
            }else if(b == -1 || !isPrintableChar(b)){
                return minus ? -n : n;
            }else{
                throw new NumberFormatException();
            }
            b = readByte();
        }
    }
    public int nextInt() {
    	return (int)nextLong();
    }
}