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 scan=new Scanner(System.in);
while(true){
int A=scan.nextInt();
int B=scan.nextInt();
if(A==0&&B==0)
break;
for(int a=0;a<A;a++){
for(int b=0;b<B;b++){
System.out.print("#");
}
System.out.println();
}
System.out.println();
}
}
}