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 kb = new Scanner( System.in);	
		
		while( true ) {
			int H = kb.nextInt();
			int W = kb.nextInt();
			
			if( 0==W && 0==H ) { break; }
			
			for( int i=0; i<H; i++ ) {
				for( int j=0; j<W; j++ ) {
					System.out.print( "#" );
				}
				System.out.print( "\n" );
			}
			System.out.print( "\n" );
		}
	}
}