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);
		while(true) {
			int y = sc.nextInt();
			int x = sc.nextInt();
			if(x == 0 && y == 0)break;
			for ( int i = 0; i < y; i++ ){
				for ( int j = 0; j < x; j++ ){
		        	System.out.print("#");		       
		    	}
		    System.out.println("");		       
			}
		System.out.println("");
		}
	}
}