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 stdin=new Scanner(System.in);
		int H;
		int W;
		
		while(true){
			H=stdin.nextInt();
			W=stdin.nextInt();
			if(H==0 && W==0) {break;}
			for(int i=1;i<=H;i++){
				for(int j=1;j<=W;j++){
					System.out.print("#");
					}
				System.out.print("\n");
		}
		System.out.print("\n");
	}
	}
}