Fox Ciel starts to learn programming. The first task is drawing a fox! However, that turns out to be too hard for a beginner, so she decides to draw a snake instead.

A snake is a pattern on a n by m table. Denote c-th cell of r-th row as (r, c). The tail of the snake is located at (1, 1), then it's body extends to (1, m), then goes down 2 rows to (3, m), then goes left to (3, 1) and so on.

Your task is to draw this snake for Fox Ciel: the empty cells should be represented as dot characters ('.') and the snake cells should be filled with number signs ('#').

Consider sample tests in order to understand the snake pattern.

Input

The only line contains two integers: n and m (3 ≤ n, m ≤ 50). 

n is an odd number.

Output

Output n lines. Each line should contain a string consisting of m characters. Do not output spaces.

Examples

Input

3 3


Output

###
..#
###


Input

3 4


Output

####
...#
####


Input

5 3


Output

###
..#
###
#..
###


Input

9 9


Output

#########
........#
#########
#........
#########
........#
#########
#........
#########
import java.util.StringTokenizer;
import java.io.BufferedReader;
import java.io.InputStream;
import java.io.FileReader;
import java.io.InputStreamReader;
import java.io.IOException;
import java.io.PrintWriter;
import java.util.Arrays;
import java.util.HashSet;
import java.util.Set;
import java.math.BigInteger;
import java.util.List;
import java.util.ArrayList;
import java.util.Queue;
import java.util.PriorityQueue;
import java.util.InputMismatchException;
import java.io.OutputStream;
import java.io.BufferedWriter;
import java.io.OutputStreamWriter;
public class Problem510A
{
    public static void main(String[] args) throws IOException
    {
        BufferedReader in=new BufferedReader(new InputStreamReader(System.in));
        PrintWriter out = new PrintWriter(new BufferedWriter(new OutputStreamWriter(System.out)));
        
        StringTokenizer dates=new StringTokenizer(in.readLine());
        String[][] matriz=new String[Byte.parseByte(dates.nextToken())][Byte.parseByte(dates.nextToken())];
        int filas=matriz.length;
        int columnas=matriz[0].length;
        int next=0;
        for(int i=0;i<filas;i++) 
        {
        	if(i%2==0)
        		for(int j=0;j<columnas;j++)
        			matriz[i][j]="#";
        	else
        	{
        		for(int j=0;j<columnas;j++)
    				matriz[i][j]=".";
        		if(next==0) 
        		{
        			matriz[i][columnas-1]="#";
        			next++;
        		}else 
        		{
        			matriz[i][0]="#";
        			next--;
        		}
        	}
        }
        for(int i=0;i<filas;i++)
        {
        	for(int j=0;j<columnas;j++)
        		System.out.print(matriz[i][j]);
        	System.out.println();
        }
        	
        	
        out.close();
    }
}