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){
		int a,b,W,H;
		Scanner br=new Scanner(System.in);
		while(true){
			H=br.nextInt();
			W=br.nextInt();
			if(H==0 && W==0){
				break;
				}else{
					for(a=1;a<=H;a++){
						for(b=1;b<=W;b++){
							System.out.print("#");
							}
						System.out.println();
						}
					System.out.println();
					}
			}
		}
	}