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 i,a,b,j;

  Scanner scan =new Scanner(System.in);
  while(true){
    b=scan.nextInt();
    a=scan.nextInt();

    if(a==0&&b==0)

    break;
    for(j=0;j<b;j++){
for(i=0;i<a;i++){
  System.out.print("#");
}System.out.println();
}System.out.println();
}
}
}