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 Snake{

public static void main(String[] args){
 Scanner sc=new Scanner(System.in);
 int n=sc.nextInt();
 int m=sc.nextInt();
 StringBuilder sb =new StringBuilder();
 for(int i=0;i<m;i++){
 	sb.append('#');
 }
 String s=sb.toString();
 sb.delete(0,m);
 for(int i=0;i<m-1;i++){
 	sb.append('.');
 }
 sb.append('#');
  String s1=sb.toString();
  sb.delete(0,m);
   sb.append('#');
 for(int i=0;i<m-1;i++){
 	sb.append('.');
 }
  String s2=sb.toString();


 for(int i=1;i<=n;i++){
 	if(i%2==1){
 		System.out.println(s);
 		 	}else{int k=i/2;
 		 		if(k%2==1){
 		 			System.out.println(s1);
 		 		}else{
 		 			System.out.println(s2);		
 		 			
 		 		}
 		 		
 		 	}
 }
	}
}
