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 sc = new Scanner(System.in);
			while(sc.hasNext()) {
				int a = sc.nextInt();
				int b = sc.nextInt();
				if(a==0 && b==0) {
					break;
				}
				else {
					for(int i = 0; i < a; i++) {
						for(int j = 0; j < b; j++) {
							System.out.print("#");
						}
						System.out.println();
					}
				}
				System.out.println();
			}
}
}