I gave 2 weeks notice at a job some years ago. They told me at the end of the first week that they were going to pay me for the second week and I could just stay home. They weren't mean, and I understand the reasoning (it was a DOD contractor as well) but it still hurt. I left on good terms, but it made me feel kind of crappy, kind of like "don't let the door hit your ass on the way out." I had gone from entry level grunt to supervisor and DOD instructor in 3 years, but was just as easily let go.
Eh, it all happens for a reason, but it felt pretty crappy. But, I was young and unseasoned in the corporate world.