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);
		int i,v;
		for(;;){
			int h = scan.nextInt();
			int w = scan.nextInt();
			if(h == 0 && w == 0)
				break;
			for(i = 1; i <= h; ++i){
				for(v = 1; v <= w; ++v){
					System.out.print("#");
				}
				System.out.println("");
			}
			System.out.println("");
		}
	}
}