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:
a = []
while True:
    b = map(int, raw_input().split())
    if b == [0, 0]:
        break
    a.append(b)
for list in a:
    h, w = list
    k = 0
    l = 0
    x = []
    while k < w:
        x.append('#')
        k = k + 1
    while l < h:
        print ''.join(x)
        l = l + 1
    print