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 sc = new Scanner(System.in);
    while(true){
      int H = sc.nextInt();
      int W = sc.nextInt();
      if(H == 0 && W == 0){
        break;
      }
      for(int x = 0; x < H; x++){
        for(int y = 0; y < W; y++){
          System.out.print("#");
        }
      System.out.println("");
      }
    System.out.println("");
    }
  }
}