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:
x=[]
y=[]
count=0
while True:
    i,j=map(int,raw_input().split())
    if (i,j)==(0,0):
        break
    count+=1
    x.append(i)
    y.append(j)

for i in range(count):
    for j in range(x[i]):
        print('#'*y[i])
    print('')