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 chess {

	
	public static void main(String[] args) {
		// TODO Auto-generated method stub
    Scanner s = new Scanner(System.in);
    int n = s.nextInt();
    int m=s.nextInt();
    int[][] arr = new int[n][m];
    for(int i=0;i<n;i++) {
    	for(int j=0;j<m;j++) {
    		arr[i][j]='.';
    	}
    }
 
    
    
    int j=0;
    boolean one =false;
    while(j<n) {
  
    		for(int i=0;i<m;i++) {
    			arr[j][i]='#';
    		}
    	j+=2;
    	}
    
    
   
    
    j=1;
    while(j<n) {
    	if(!one) {
    		arr[j][m-1]='#';
    	}
    	else {
    		arr[j][0]='#';
    	}
    	one=!one;
    	j+=2;
    }
    for(int i=0;i<n;i++) {
    	for(int k=0;k<m;k++) {
    		System.out.print((char)(arr[i][k]));
    	}
    System.out.println();}
    
	}
}