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;
cin>>H>>W;
while(H!=0&&W!=0){
for(int a=0;a<H;a++){
	for(int b=0;b<W;b++){
	cout<<"#";
		if(b==W-1){
		cout<<endl;
		}
	}
}
	cout<<endl;
	cin>>H>>W;
}

return 0;
}