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) {
		try(Scanner sc = new Scanner(System.in)){
			for(;;) {
				int h = sc.nextInt();
				int w = sc.nextInt();
				if(h==0&&w==0) break;
				for(int i=0; i<h; i++) {
					for(int j=0; j<w; j++) {
						System.out.print("#");
					}
					System.out.println();
				}
				System.out.println();
			}
		}
	}
}