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<bits/stdc++.h>
using namespace std;
int main(){
int a,b,i=0,i2=0;
while(1){
	cin >>b >>a;
	if (a==0 && b==0) break;
	for (i=0; i<b; i++){
		for (i2=0; i2<a; i2++){
		cout<<"#";
		}
	cout<<"\n";
	}
cout<<"\n";
};
return 0;
}