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);
		int h = sc.nextInt();
		int w = sc.nextInt();
		
		while(h != 0 || w != 0){

			StringBuilder sb = new StringBuilder();

			for(int i = 0; i < h; i++){

				for(int j = 0; j < w; j++){
					sb.append("#");
				}
				sb.append("\n");

			}
			System.out.println(sb);

			h = sc.nextInt();
			w = sc.nextInt();
		}
	}
}