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

####
####
####

######
######
######
######
######

##
##
import java.util.Scanner;

public 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 i = 1;i <= H;i++){
for(int j = 1;j <= W;j++){
System.out.printf("#");
}
System.out.printf("\n");
}
System.out.printf("\n");
}
sc.close();
}
}
