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;
import java.util.Collections;

public class Main {
	public static void main(String args[]) {
		Scanner scan = new Scanner(System.in);

		for(;;){
			int h = scan.nextInt();
			int w = scan.nextInt();

			if(h == 0 && w == 0)
				break;

			System.out.println(String.join("", Collections.nCopies(h, String.join("", Collections.nCopies(w, "#"))+"\n")));
		}
	}
}