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;

public class Main {
    public static void main(String[] args) {
	Scanner scan = new Scanner(System.in);
		int H,W;
		do{
			H = scan.nextInt();
			W = scan.nextInt();
			if(H == 0 && W == 0){break;} // H = 0 W = 0 ??§??????
			for(int i = 0;i < H;i++){
				for(int j = 0;j < W;j++){
					System.out.print("#");
				}
					System.out.print("\n");
			}
			System.out.print("\n");	
		}while(true);
	}
}