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 <cstdio>
int main(){
	int x, y, z;
	while(1){
		scanf("%d%d", &x, &y);
		if(x == 0 && y == 0) return 0;
		while(x--){
			z = y;
			while(z--){
				putchar('#');
			}
			putchar('\n');
		}
		putchar('\n');
	}
	return 0;
}