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 PYTHON):

Solution:
import warnings
import sys




x = 0
while (x == 0):
	args = map(int, raw_input().split())

	h = args[0]
	w = args[1]

	if (h == 0 and w == 0):
		break

	for i in range(h):
			for j in range(w):
				sys.stdout.write("#")
			print ""
	print ""