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:
r=0
while r==0:
        l=""
        i=map(int,raw_input().split())
        if i[0]==i[1]==0:
                break
        while 0 < i[1]:
                l=l+"#"
                i[1]=i[1]-1
        while 0 < i[0]:
                print l
                i[0]=i[0]-1
        print