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 sc = new Scanner(System.in);
		int x,y,i,j;
		
		while(true){
			x = sc.nextInt();
			y = sc.nextInt();
			if(x == 0 && y == 0){
				sc.close();
				return;
			}
			else{
				for(i=0;i<x;i++){
					for(j=0;j<y;j++){
						System.out.print('#');
					}
					System.out.println();
				}
				System.out.println();
			}
		}
	}

}