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 i, j, W, H;
	while (cin >> H >> W, H || W){
		for (i = 1; i <= H; i++){
			for (j = 1; j <= W; j++){
				cout << "#";
			}
			cout << endl;
		}
          cout << endl;
	}
}