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,V;
	for(;;){
		cin>>V>>W;
		if(W==0&&V==0){
			break;}
	for(int z = 0; z < V; z++ ){
	for(int y = 0; y < W; y++ ){
		cout<<"#";
	}
	cout<<endl;
	}cout<<endl;
	
	}
	return 0;
}