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.*;
import java.io.*;

public class File {
	public static class FastScanner {
		BufferedReader br;
		StringTokenizer st;
		
		public FastScanner() {
			br = new BufferedReader(new InputStreamReader(System.in));
		}
		
		String next() {
			while (st == null || !st.hasMoreElements()) {
				try {
					st = new StringTokenizer(br.readLine());
				}
				catch (IOException e) {
					e.printStackTrace();
				}
			}
			
			return st.nextToken();
		}
		
		int nextInt() {
			return Integer.parseInt(next());
		}
		
		long nextLong() {
			return Long.parseLong(next());
		}
	}
	
	public static void main(String[] args) {
		FastScanner sc = new FastScanner();
		PrintWriter out = new PrintWriter(new BufferedOutputStream(System.out));
		
		
		
		int rows = sc.nextInt(); // Rows
		int cols = sc.nextInt(); // Cols
		
		
		StringBuilder oddRow = new StringBuilder();
		for (int c = 1; c <= cols; c++) {
			oddRow.append('#');
		}
		
		StringBuilder evenFour = new StringBuilder();
		for (int c = 1; c <= cols; c++) {
			if (c == 1) {
				evenFour.append('#');
			}
			else {
				evenFour.append('.');
			}
		}
		
		StringBuilder evenTwo = new StringBuilder();
		for (int c = 1; c <= cols; c++) {
			if (c == cols) {
				evenTwo.append('#');
			}
			else {
				evenTwo.append('.');
			}
		}
		
		for (int row = 1; row <= rows; row++) {
			if (row % 2 == 1) {
				out.println(oddRow);
			}
			else {
				if (row % 4 == 0) {
					out.println(evenFour);
				}
				else {
					out.println(evenTwo);
				}
			}
		}
		
		
		out.close();
	}
}






















