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 scan = new Scanner(System.in);

		while(true){
			int h = scan.nextInt();
			int w = scan.nextInt();

			if(h == 0 && w == 0){
				break;
			}else{
				for(int a = 0; a < h; a++){
					for(int b = 0; b < w; b++){
						System.out.print('#');
					}
					System.out.println();
				}
				System.out.println();
			}
		}
	}
}