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 s = new Scanner(System.in);
	int H = s.nextInt();
	int W = s.nextInt();

	while(H != 0 || W != 0){
	    for(int i = 0; i < H; i++){
		for(int j = 0; j < W; j++) System.out.print("#");
		System.out.println();
	    }
	    System.out.println();

	    H = s.nextInt();
	    W = s.nextInt();
	}
    }
}