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>
#include <string>
using namespace std;
int H,W;
int main(){
	while(cin >> H >> W && H>0){
		string s;
		for(int i=0;i<W;i++){
			s += '#';
		}
		for(int i=0;i<H;i++){
			cout << s << endl;
		}
		cout << endl;
	}
}