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[300],W[300],i,j;
	for(;;){
	cin>>i>>j;
if(i==0&&j==0){
		break;
		}
	for(int o=0;o<i;o++){
		for(int n=0;n<j;n++){

			cout<<"#";
		}
		cout<<endl;
	}
	cout<<endl;
	}
}