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 sys
x = []
for line in sys.stdin:
    h,w = line.split()
    h,w = int(h), int(w)
    if h == 0 and w== 0: break
    x.append([h,w])

for i in range(len(x)):
    h, w = x[i]
    s = '#' * w
    for j in range(h): print s
    print