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);
    int a, b;

    while (true) {
      a = scanner.nextInt();
      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.printf("#");
        System.out.println();
      }
      System.out.println();
    }
  }
}