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:
while True:
    [H,W] = raw_input().split()
    H = int(H)
    W = int(W)
    if H == 0 and W == 0:
        break
        
    for y in range(0,H):
        s = ''
        for x in range(0,W):
            s = s + '#'
        print s
    print ''