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
{
  public static void main(String[]args)
  {
    Scanner input=new Scanner(System.in);
    int h=0,j=0;
    while(true)
    {int a=input.nextInt();
    int b=input.nextInt();
    if(a==0 && b==0)
      break;
   for(int p=1;p<=a;p++)
     {
       for(int i=1;i<=b;i++)
       {System.out.print("#");}
      System.out.println();}
       System.out.println();
     }
    }
     }