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 <stdio.h>

int main(){
	
	int H, W, i, j;
	
	while(scanf("%d%d",&H, &W))
	{
		if(H == 0 && W == 0)
		{
			break;
		}
	for(i=1; i <= H; i++)
	{
		for(j = 1; j <= W; j++)
		{
			printf("#");
		}
		printf("\n");
	}
	printf("\n");
	}
}