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 a,b;
	while(cin>>a>>b)
	{
		if(a==0&&b==0) break;
		for(;a;a--)
		{
			for(int i=b;i;i--) cout<<"#";
			cout<<endl;
		}
		cout<<endl;
	}
	return 0;
}