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.Arrays;
import java.util.Scanner;
import sun.security.x509.X500Name;

public class A2j {

    public static void main(String[] args) {

        Scanner sc=new Scanner (System.in);
int n=sc.nextInt();
int m=sc.nextInt();
     int a[]=new int[n];
     int key=0;
    for(int i=0;i<n;i++){
    if(i%2==0){
        for(int j=0;j<m;j++){
            System.out.print("#");
        } System.out.println("");}
       
    if(key==1&&i%2!=0){
        System.out.print("#");
        for(int j=0;j<m-1;j++){
            System.out.print(".");
        }
        key=0;System.out.println("");}
       
   else if(key==0&&i%2!=0){
        
        for(int j=0;j<m-1;j++){
            System.out.print(".");
        }
        System.out.print("#");
        key=1;System.out.println("");}
    }
    }}