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>

int main(){
	int H,W;
	while(1){
		std::cin >> H >> W;
		
		if(H == 0 && W ==0){break;}

		for(int i=0;i<H;i++){
		for(int j=0;j<W;j++){
			std::cout << "#";
		}
		std::cout << std::endl;
		}
		std::cout << std::endl;
	}
}