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 scanner = new Scanner(System.in);

  while (true) {

   int a = scanner.nextInt();

   int b = scanner.nextInt();

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

    break;

   for (int i = 0; i < a; i++) {

    for (int j = 0; j < b; j++) {

     System.out.print("#");

    }
    System.out.println();

   }
   System.out.println();

  }
 }
}