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.*;
import java.util.*;
public class Main{
     public static void main(String []args)throws IOException{
        BufferedReader br=new BufferedReader(new InputStreamReader(System.in));
        BufferedWriter bw=new BufferedWriter(new OutputStreamWriter(System.out));
        //int t=Integer.parseInt(br.readLine());
        //HashMap<String,Integer> hm=new HashMap<String,Integer>();
        //while(t>0){
        String s[]=br.readLine().split(" ");
        int k=0;
        int n=Integer.parseInt(s[0]),m=Integer.parseInt(s[1]);
        for(int i=0;i<n;i++){
            if(i%2==1){
                k++;
                if(k%2==1){
                for(int j=0;j<m-1;j++){
                    bw.write(".");
                }
                bw.write("#\n");
                }
                else{
                    bw.write("#");
                    for(int j=0;j<m-1;j++){
                    bw.write(".");
                }
                bw.write("\n");
                }
            }
            else{
                for(int j=0;j<m;j++){
                    bw.write("#");
                }
                bw.write("\n");
            }
        }
        //t--;
        //}
        bw.flush();
     }
}