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.io.InputStream;
import java.util.Arrays;
import java.util.Scanner;
import java.util.SortedSet;
import java.util.TreeSet;


public class Main {
    


    public static void main(String[] args) {
Scanner s = new Scanner (System.in);
int n =s.nextInt();
int m=s.nextInt();
String [][]arr=new String [n][m];
for(int i=0;i<n;i++){
    for(int j=0;j<m;j++){
        arr[i][j]="#";
    }
}
int root =0 ;
for(int i=0;i<n;i++){
    if(root==0&&i%2!=0){
         for(int j=0;j<m-1;j++){
             arr[i][j]=".";
         }
         root=1 ;
    }
    else if(root==1&&i%2!=0){
        for(int j=1;j<m;j++){
            arr[i][j]=".";
        }
        root=0;
    }

}

for(int i=0;i<n;i++){
    for(int j=0;j<m;j++){
System.out.print(arr[i][j]);
    }
    System.out.println();
}
    }
}
