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[])
    {
	Scanner scan=new Scanner(System.in);
	int H,W;
	while(true)
	    {
		H=scan.nextInt();
		W=scan.nextInt();
		if((H==0) && (W==0))break;
		for(int i=0;i<H;i++)
		    {
			
			if(H==0 && W==0)break;
			for(int j=0;j<W;j++)
			    {
				System.out.print("#");
			    }
			System.out.println();
		    }
		System.out.println();
	    }
    }
}