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:
# -*- coding: utf-8 -*-

def main():

	while True:
		H,W = map(int,raw_input().split())
		if H == W == 0:
			break
		a = ''
		for i in xrange(W):
			a += '#'
		for i in xrange(H):
			print(a)
		print('')

if __name__ == "__main__":

	main()