Problem: Draw a rectangle which has a height of H cm and a width of W cm. Draw a 1-cm square by single '#'.

Constraints

* 1 ≤ H ≤ 300
* 1 ≤ W ≤ 300

Input

The input consists of multiple datasets. Each dataset consists of two integers H and W separated by a single space.

The input ends with two 0 (when both H and W are zero).

Output

For each dataset, print the rectangle made of H × W '#'.

Print a blank line after each dataset.

Example

Input

3 4
5 6
2 2
0 0


Output

####
####
####

######
######
######
######
######

##
##

Solution (in JAVA):

Solution:
import java.util.Scanner;
public class Main {
	private static Scanner sc;

	public static void main(String[] args) {
	   sc = new Scanner(System.in);
	 
	   while(true){
	   int h=sc.nextInt();
	   int w=sc.nextInt();
	   if(h==0&&w==0)break;
	   else for(int i = 0;i<h;i++){
		   int m=0;   
		   while(m<w){
			   System.out.print("#");
			   m=m+1;
		   }
		   
	         System.out.println();
   }
	   System.out.println();
  }  
 }
}