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
while True:
    ls = map(int, raw_input().split())
    if ls[0]==0 and ls[1]==0:
        break
    for h in xrange(ls[0]):
        for w in xrange(ls[1]):
            #print '#',
            sys.stdout.write('#')
        print ''
    print ''