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 codeforces{

public static void main(String args[]){

	Scanner input=new Scanner(System.in);
	
	//randuri
	
	int n=input.nextInt();
	
	//coloane
	
	int m=input.nextInt();
	
	String nums[][]=new String [n][m];
	
	
	for(int i=0;i<n;i++)
	{
	for(int j=0;j<m;j++) {nums[i][j]="."; }
}
	
	
	for(int i=0;i<n;i++)
	
	{if(i%2==0) {for(int j=0;j<m;j++) nums[i][j]="#";}
	else if(((i+1)/2)%2==1) nums[i][m-1]="#";
	else if(((i+1)/2)%2==0) nums[i][0]="#";}
	
	
	
	for(int i=0;i<n;i++)
	{
	for(int j=0;j<m;j++) { System.out.print(nums[i][j]);}
	System.out.println();}
	
	
	
	
	
		}
	
}
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	

	