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
k = 1

while k == 1:
    r = raw_input()
    H, W = r.split()
    H = int(H)
    W = int(W)
    
    if H == 0 and W == 0:
        k = 0
    else:
        for i in range(H):
            for j in range(W):
                sys.stdout.write("#")
            print ("")
        print("")