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:
l=raw_input()
k=l.split()
H=int(k[0])
W=int(k[1])
while True:
        if H+W==0:
                break
        else:
                for i in range(H):
                        print "#"*W
                print ""
                l=raw_input()
                k=l.split()
                H=int(k[0])
                W=int(k[1])