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) {

		int g,r;

		Scanner scan = new Scanner(System.in);

		while(true)
		{
			g = scan.nextInt();
			r = scan.nextInt();

			if( (g|r) == 0) break;

			for(int i=0; i<g; i++)
			{
				for(int j=0; j<r; j++)
				{
					System.out.print("#");
				}

				System.out.println();
			}

			System.out.println();

		}

		scan.close();

	}
}