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 sc = new Scanner(System.in);
		while(0 < 1){
		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.printf("#");
			}
			System.out.printf("\n");
		}
		System.out.printf("\n");
		}
		sc.close();
	}	
}