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.*;
import java.lang.StringBuilder;
public class Main {
	public static void main(String[] args) throws Exception{
		Scanner sc = new Scanner(System.in);
		StringBuilder bu = new StringBuilder();
		int h,w;
		while((h=sc.nextInt())!=0&&(w=sc.nextInt())!=0){
			for(int i=0;i<h;i++){
				for(int o=0;o<w;o++){
					bu.append("#");
				}
				bu.append("\n");
			}
			bu.append("\n");
		}
		System.out.print(bu);
	}
}