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);
		StringBuilder sb=new StringBuilder("");
		int H=sc.nextInt(),W=sc.nextInt(),x;
		while (H!=0 || W!=0){
			x=0;
			for (int m=1;m<=W;m++){
				x++;
				sb.append("#");}
		for (int n=1;n<=H;n++){System.out.println(sb);}
			System.out.println();
			sb.delete(0,x);
			H=sc.nextInt();W=sc.nextInt();
				}}}