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