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(true){
		cin >> H >>W;
		if(H==0 &&W==0) break;
		for(int i = 0;i<H;++i){
			for(int j=0;j<W;++j){
				cout <<"#";
			};
			cout << "\n";
		}
		cout << "\n";
	}
	return 0;
}