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
a = []
while True:
    x = map(int, raw_input().split())
    if x[0] == 0 and x[1] == 0:
        break
    a.append(x)
for i in range(len(a)):
    for j in range(a[i][0]):
        for k in range(a[i][1]):
            sys.stdout.write('#')
        print ''
    print ''