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.Scanner;
public class MyClass {
    public static void main(String args[]) {
     Scanner sc=new Scanner(System.in);
      int n=sc.nextInt();
      int m=sc.nextInt();
     int c1=1,c2=0;
      for(int i=0;i<n;i++)
      {       int c=0;   
          if(i%2==0)
          {   
              while(c<m)
                {   System.out.print("#");
                    c++;
                   
                }
                 System.out.print("\n");
          }
          else
          {
              if(c1==1)
              {
                  while(c<m-1)
                  {
                      System.out.print(".");
                      c++;
                  }
                  System.out.print("#");
                  System.out.print("\n");
                  c1=0;c2=1;
              }
              else
              {
                  System.out.print("#");
                   while(c+1<m)
                  {
                      System.out.print(".");
                      c++;
                  }
                  System.out.print("\n");
                  c1=1;c2=0;
              }
              
          }
         
        
          
      }
      
    }
}