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:
#-------------------------------------------------------------------------------
# coding: utf-8
# Created:     16/12/2015

import sys
io = sys.stdin

while True:
    arr = io.readline().split()
    h, w = int(arr[0]), int(arr[1])
    if h==0 and w ==0 : break

    for x in xrange(h):
        print "#"*w
    print

pass