import java.io.BufferedInputStream;
import java.io.BufferedOutputStream;
import java.io.PrintWriter;
import java.util.ArrayList;
import java.util.Arrays;
import java.util.HashSet;
import java.util.Scanner;
public class Main{
static char a[][] = new char[105][105];
public static void main(String[] args){
Scanner sc = new Scanner(new BufferedInputStream(System.in));
PrintWriter pw = new PrintWriter(new BufferedOutputStream(System.out));
int n,k;
n = sc.nextInt();
k = sc.nextInt();
int nowrow=2,le=2,ri=n-1,time = n-2;
int cnt=0;
if(k%time==1||(k<time&&k%2==1)){
a[3][n/2+1] = '#';
k--;
}//需要注意如果是奇数 表示的是相对于行可放的数量是奇数
while(k>0){
k--;
if(ri<le){
nowrow++;
le=2;
ri = n-1;
}
if(cnt%2!=0) a[nowrow][ri--] = '#';
else a[nowrow][le++] = '#';
cnt++;
}
pw.println("YES");
for(int i=1;i<=4;i++){
for(int j=1;j<=n;j++)
if(a[i][j]=='#') pw.print(a[i][j]);
else pw.print('.');
pw.println();
}
pw.flush();
}
}import java.io.BufferedInputStream;
impor