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, W;
	while(1){
	cin >> H >> W;
	if( H == 0 && W == 0 ) return 0;
	for( int i = 0; i < H; i++ ){ for( int j = 0; j < W; j++){cout << "#";} cout << "\n";}
	cout << endl;
	}
return 0;
}