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) {
		// TODO Auto-generated method stub
		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();
		}
	}
}