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.*;
import java.nio.charset.StandardCharsets;
// import java.math.BigInteger;

public class A {
    static Writer wr;

    public static void main(String[] args) throws Exception {
        // long startTime = System.nanoTime();

        // String testString = "";
        // InputStream stream = new ByteArrayInputStream(testString.getBytes(StandardCharsets.UTF_8));
        // Reader in = new Reader(stream);

        Reader in = new Reader();
        BufferedWriter out = new BufferedWriter(new OutputStreamWriter(System.out));
        
        wr = new Writer();

        /* Precomputation */


        // long elapsedTime = System.nanoTime() - startTime;
        // double seconds = (double)elapsedTime / 1000000000.0;
        // wr.writeRedLn(seconds);

        /* Input */
        int N = in.nextInt();
        int M = in.nextInt();

        int[][] grid = new int[N][M];

        for(int i=0;i<N;i+=2) {
            for(int j=0;j<M;j++) {
                grid[i][j] = 1;
            }
        }

        int cc=0;
        for(int j=1;j<N;j+=2) {
            int i=0;
            if(cc++%2==0) i=M-1;
            grid[j][i] = 1;
        }

        for(int i=0;i<N;i++) {
            for(int j=0;j<M;j++) {
                if(grid[i][j]==1) {
                    out.write("#");
                }
                else {
                    out.write(".");
                }
            }
            out.write("\n");
        }

        out.flush();
    }
}



class Writer {
    public void writeRedLn(Object x) { writeRedLn(x+""); }
    public void writeBlueLn(Object x) { writeBlueLn(x+""); }
    public void writeGreenLn(Object x) { writeGreenLn(x+""); }
    public void writePinkLn(Object x) { writePinkLn(x+""); }
    public void writeRedLn(String x) { System.out.println((char)27 + "[31m" + (char)27 + "[40m" + x + (char)27 + "[0m"); }
    public void writeBlueLn(String x) { System.out.println((char)27 + "[34m" + (char)27 + "[3m" + x + (char)27 + "[0m"); }
    public void writeGreenLn(String x) { System.out.println((char)27 + "[32m" + (char)27 + "[3m" + x + (char)27 + "[0m"); }
    public void writePinkLn(String x) { System.out.println((char)27 + "[30m" + (char)27 + "[45m" + x + (char)27 + "[0m"); }
    public void writeRed(String x) { System.out.print((char)27 + "[31m" + (char)27 + "[40m" + x + (char)27 + "[0m"); }
    public void writeBlue(String x) { System.out.print((char)27 + "[34m" + (char)27 + "[3m" + x + (char)27 + "[0m"); }
    public void writeGreen(String x) { System.out.print((char)27 + "[32m" + (char)27 + "[3m" + x + (char)27 + "[0m"); }
    public void writePink(String x) { System.out.print((char)27 + "[30m" + (char)27 + "[45m" + x + (char)27 + "[0m"); }
}


class Reader {
    final private int BUFFER_SIZE = 1 << 16;private DataInputStream din;private byte[] buffer;private int bufferPointer, bytesRead;
    public Reader(){din=new DataInputStream(System.in);buffer=new byte[BUFFER_SIZE];bufferPointer=bytesRead=0;}
    public Reader(InputStream stream){din=new DataInputStream(stream);buffer=new byte[BUFFER_SIZE];bufferPointer=bytesRead=0;}
    public int[] ni_array(int N) throws IOException { int[] ans = new int[N]; for(int i=0;i<N;i++) { ans[i] = nextInt(); } return ans; }
    public String readLine()throws IOException{byte[] buf=new byte[1024];int cnt=0,c;
        while((c=read())!=-1){if(c=='\n')break;buf[cnt++]=(byte)c;}return new String(buf,0,cnt);}
    public char nextChar()throws IOException{byte c=read();while(c<=' ')c=read();return (char)c;}
    public int nextInt()throws IOException{int ret=0;byte c=read();while(c<=' ')c=read();boolean neg=(c=='-');
        if(neg)c=read();do{ret=ret*10+c-'0';}while((c=read())>='0'&&c<='9');if(neg)return -ret;return ret;} 
    public long nextLong()throws IOException{long ret=0;byte c=read();while(c<=' ')c=read();boolean neg=(c=='-');
        if(neg)c=read();do{ret=ret*10+c-'0';}while((c=read())>='0'&&c<='9');if(neg)return -ret;return ret;}
    public double nextDouble()throws IOException{double ret=0,div=1;byte c=read();while(c<=' ')c=read();boolean neg=(c=='-');if(neg)c = read();do {ret=ret*10+c-'0';}while((c=read())>='0'&&c<='9');
        if(c=='.')while((c=read())>='0'&&c<='9')ret+=(c-'0')/(div*=10);if(neg)return -ret;return ret;}
    private void fillBuffer()throws IOException{bytesRead=din.read(buffer,bufferPointer=0,BUFFER_SIZE);if(bytesRead==-1)buffer[0]=-1;}
    private byte read()throws IOException{if(bufferPointer==bytesRead)fillBuffer();return buffer[bufferPointer++];}
    public void close()throws IOException{if(din==null) return;din.close();}
}
