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;
//import java.util.ArrayList;
public class Main{

public static void main(String[] args){
Scanner sc = new Scanner(System.in);

for(;;){
int h = sc.nextInt();
int w = sc.nextInt();


if((h == 0) && (w == 0)) break;

  for(int i = 0; i<h ; i++){
    for(int p = 0; p<w ; p++){
    System.out.print("#");
  }
  System.out.println("");
  }
System.out.println("");
}//for

}//main

}//class