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 i, W,H,l;
	while (1){
		scanf("%d %d", &H, &W);
		if (H == 0 && W == 0)break;

		for (i = 1; i <= H; i++)
		{
			for (l = 1; l <= W; l++)
				printf("#");
			printf("\n");
		}
		printf("\n");
	}
	return 0;
}