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)
  	{
  	Scanner sc1 = new Scanner(System.in);
        while(true){
        int H = sc1.nextInt();
        int W = sc1.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();
}
}
}