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 main(){
	int H, W;

	while(true){
		cin >> H >> W;
		if(H == 0 && W == 0) break;
		for(int i = 0; i < H; i++) cout << string(W, '#') << endl;
		cout << endl;
	}
}