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.BufferedReader;
import java.io.BufferedWriter;
import java.io.IOException;
import java.io.InputStreamReader;
import java.io.OutputStreamWriter;
import java.io.PrintWriter;

public class A510FoxAndSnake
{	
	public static void main(String[] args) throws IOException {
		 BufferedReader br= new BufferedReader( new InputStreamReader(System.in));
		 String line [] = br.readLine().split(" ");
		 int n = Integer.parseInt(line[0]);
		 int w = Integer.parseInt(line[1]);
		 PrintWriter pw = new PrintWriter(new BufferedWriter( new OutputStreamWriter(System.out)));
		 StringBuilder sb1 = new StringBuilder();
		 StringBuilder sb2 = new StringBuilder();
		 for(int i=0;i<w;i++)
		 {
			 sb1.append("#");
		 }
		 for(int i=1;i<w;i++)
		 {
			 sb2.append(".");
		 }
		 int f1 =0;
		 int f2 =0;
		 for(int i=0;i<n;i++)
		 {
			 if(f1==0)
			 {
				 pw.println(sb1);
				 f1=1-f1;
			 }
			 else
			 {
				 if(f2==0)
				 {
					 pw.println(sb2+"#");
				 }
				 else 
				 {
					 pw.println("#"+sb2);
				 }
				 f1=1-f1;
				 f2=1-f2;
			 }
		 }
		 pw.flush();
		 pw.close();
	}
	
}