Python Cartesian Product [duplicate]

Question

Possible Duplicate:
Get the cartesian product of a series of lists in Python

I'm trying to figure out some logic that I just can't wrap my head around. Say I have the following data structure:

letters = (
    ('b','c'),
    ('a','e','ee'),
    ('d','f'),
    ('e','y'),
)

How would I iterate through this to get every possible string combination:

bade
cade
bede
cede
beede
ceede
bafe
cafe
befe
cefe
beefe
ceefe
bady
cady
bedy
cedy
beedy
ceedy
bafy
cafy
befy
cefy
beefy
ceefy

Answer 1

I'd use itertools.product():

for l in itertools.product(*letters):
    print ''.join(l)