Please read the following:
- I would like to come with you.
- I would have liked to come with you.
- I would like to have come with you.
- I would prefer to drink coffee.
- I would have preferred to drink coffee.
- I would prefer to have drunk coffee.
I perfectly understand the first sentence in both the groups. What I would like to know is the difference between second and third sentences. Could you please explain that?