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