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(){

for(;;){
int x,y;
cin>>x>>y;
if(x==0 && y==0)break;
	for(int i=0;i<x;i++){
		for(int g=0;g<y;g++){
		cout<<"#";
		}
		cout<<endl;
		}
cout<<endl;
}
return 0;
}