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 h ,w ;
	while( cin >> h >> w ,h )
	{
		for( ; h > 0 ; h-- )
		{
			for( int i = w ; i > 0 ; i-- )
				cout << "#" ;
			cout << endl ;
		}
		cout << endl ;
	}
	return 0 ;
}