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;
class Main{
    public static void main(String[] args){
	final Scanner sc=new Scanner(System.in);
	while(true){
	    int a=sc.nextInt();
	    int b=sc.nextInt();
	    if(a==0 && b==0) break;
	    for(int i=0;i<a;i++){
		for(int j=0;j<b;j++){
		    System.out.printf("#");
		}
		System.out.printf("\n");	
	    }
	    System.out.printf("\n");
	}
    }
}