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) {

 Scanner scn=new Scanner(System.in);
 int n=scn.nextInt();
 int m=scn.nextInt();
 int flag=1;
 for(int i=1;i<=n;i++){
     
         if(i%2==1){
             for(int j=1;j<=m;j++){
             System.out.print("#");
             }
         }
     
         else{
            
             if(flag==1){
                 for(int j=1;j<=m;j++){
                 if(j==m){
                     System.out.print("#");
                 }
                 else{
                     System.out.print(".");
                 }
                
                 }
                  flag=0;
             }
             else{
                 for(int j=1;j<=m;j++){
                 if(j==1){
                     System.out.print("#");
                 }
                 else{
                     System.out.print(".");
                 }
                 
                 }
                 flag=1;
             }
            
         }
     
     System.out.println();
 }

 }
}