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[] arge){
     
Scanner sc=new Scanner(System.in);


while (true){ 

int a=sc.nextInt();
int b=sc.nextInt();

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

}
}
System.out.println("");	
}
}
}