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:
h = -1
w = -1

while (h != 0) and (w != 0):
  input = map(int, raw_input().split(" "))
  h = input[0]
  w = input[1]
  if (h == 0 and w == 0):
    break

  i = 0
  j = 0
  line = ""

  while j < w:
    line += "#"
    j += 1

  while i < h:
    print line
    i += 1

  print ""