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 Main
{
   public static void main(String[] args)
      {
         int n,m;
         
         //int[][] arr= new int[50][50];
         
         Scanner in = new Scanner(System.in);
         
         n=in.nextInt();
         m=in.nextInt();
         
         for(int i=0;i<n;i++)
         {
            for(int j=0;j<m;j++)
               if(i%2==0)
                  System.out.printf("#");
               else
               if((i==1||i==5||i==9||i==13||i==17||i==21||i==25||i==29||i==33||i==37||i==41||i==45||i==49)&&j==m-1)
                  System.out.printf("#");
               else
               if((i==3||i==7||i==11||i==15||i==19||i==23||i==27||i==31||i==35||i==39||i==43||i==47)&&j==0)
                  System.out.printf("#");
               else
                  System.out.printf(".");
               
            System.out.printf("\n");
         }
      }
}