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(){
	long long w,h,i,j;
	
	while(1){
		cin>>w>>h;
		if(w==0 && h==0) break;
		for(i=1;i<=w;i++){
			for(j=1;j<=h;j++){
				cout<<"#";
			}
			cout<<"\n";
		}
		cout<<"\n";
	}
}