Replacing two fence posts within a 32" span

Question

I had to dig out two badly rotted fence posts with cracked concrete. These are roughly 2' deep to accommodate a 4' post. These are so close that I'm really wondering what to do about this middle section.

Would you:

1. Set the posts, leaving the dirt that’s between, and filling over top and connecting with concrete
2. Dig out the dirt between and fill the whole thing with concrete, setting the posts with a single concrete pour
3. Fill the whole thing with dirt, tamp it down, and then dig two new clean holes, filling each with concrete
4. None of those, ya goober!

Answer 1

I ended up going with the first option since it was indeed the easiest, and when these need to be replaced, it'll be easier to break up than an entirely solid footing.