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.*;
public class A 
{
public static void main(String args[])
{
Scanner s=new Scanner(System.in);  
int m=s.nextInt();
int n=s.nextInt();
char a[][]=new char[m][n];
int i=0,j=0;
for (i=0;i<m;++i)
{
    if (i%2==0)
    {
     for(j=0;j<n;++j)
        a[i][j]='#';
    }
    else
    {
     for(j=0;j<n;++j)
        a[i][j]='.';
    }
}
int aa=1;

for (i=1;i<m;i+=2)
{
    if (aa==1)
    {
     
        a[i][n-1]='#';
        aa=0;
    }
    else
    {
     
        a[i][0]='#';
        aa=1;
    }
}


     
for(i=0;i<m;++i)
    {for(j=0;j<n;++j)
        {System.out.print(a[i][j]);}
    System.out.println();}
}
}