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.math.*;
import java.io.*;
import java.util.Collections;

public class Solution {

    static class Solver {

        Solver() {
        }

        public void solve(FastScanner sc, PrintWriter out) throws IOException {
            int n = sc.nextInt();
            int m = sc.nextInt();
            char[][] arr = new char[n][m];
            for(int i = 0, k = 0; i < n; i++) {
                if(i % 2 == 0) {
                    for(int j = 0; j < m; j++) {
                        arr[i][j] = '#';
                    }
                } else {
                    if(k % 2 == 0) {
                        for(int j = 0; j < m-1; j++) {
                            arr[i][j] = '.';
                        }
                        arr[i][m-1] = '#';
                    } else {
                        arr[i][0] = '#';
                        for(int j = 1; j < m; j++) {
                            arr[i][j] = '.';
                        }
                    }
                    ++k;
                }
            }

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



    public static void main(String[] args) throws IOException{
        FastScanner scanner = new FastScanner(System.in);
        PrintWriter out = new PrintWriter(System.out);
        (new Solver()).solve(scanner, out);
        out.flush();

    }

    static class FastScanner {
        BufferedReader br;
        StringTokenizer st;

        FastScanner(InputStream stream) {
            try {
                br = new BufferedReader(new InputStreamReader(stream));
            } catch(Exception e) {
                e.printStackTrace();
            }
        }

        boolean hasNextToken() {
            if(st == null) {
                try {
                    st = new StringTokenizer(br.readLine());
                } catch(IOException e) {
                    
                }
            }
            return st.hasMoreTokens();
        } 

        String next() {
            while(st == null || !st.hasMoreTokens()) {
                try {
                    st = new StringTokenizer(br.readLine());
                } catch(IOException e) {
                    e.printStackTrace();
                }
            }

            return st.nextToken();
        }

        String nextLine() throws IOException{
            return br.readLine();
        }

        byte nextByte() {
            return Byte.parseByte(next());
        }

        int nextInt() {
            return Integer.parseInt(next());
        }

        long nextLong() {
            return Long.parseLong(next());
        }

    }

}

