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 a = new Scanner(System.in);
		int h = 1;
		int w = 1;
		while(h > 0 && w > 0){
		h = a.nextInt();
		w = a.nextInt();
		for(int i = 0;i < h;i++){
			for(int j = 0;j < w;j++){
				System.out.print("#");
			}
			if(h != 0 && w != 0)
			System.out.println();
		}
		if(h != 0 && w != 0)
			System.out.println();
		}
	}

}