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:
from __future__ import print_function
while(1):
    x = raw_input()
    if(x == "0 0"):
        break
    x = x.split(" ")
    h = int(x[0])
    w = int(x[1])
    for i in range(0,h):
        for j in range(0,w):
            print("#", end="")
        print("\n",end="")
    print("\n",end="")