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 w,h,a;
	while(1){
	cin>>h>>w;
	a=w;
	if(h==0&&w==0){
		break;
	}
	for(;h>0;h--){	
		for(w=a;w>0;w--){
			cout<<'#';
		}
		cout<<endl;
	}
	cout<<endl;
	}
	return 0;
}