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(){
	for(;;){
	int H,W,i,l;
	cin >> H >> W;
		if(H==0 && W==0)break;
			for(i=0; i<H; i++){
				for(l=0; l<W; l++){
					cout  << "#";
				}
			cout << endl;
			}
		cout << endl;	
	}	
}