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 CPP):

Solution:
#include<iostream>
using namespace std;
int main(){
	int i, j, x, y;	
	while( cin >> x >> y ){
		
	if( x == 0 && y == 0 )
	break;
		
	for(i=0;i<x;i++)
	{
		for(j=0;j<y;j++)
		cout << "#";
		
		cout << "\n";
	}
	cout << "\n";
}
	return 0;
}