Micra K10 won't start

Hey everyone! Me again.

I was driving down a street on my way to classes, and it stuttered/shut off when I stopped: similar to how it did for a while when it was fuel-starved. When I went to start it back up, all i got was a loud -click-. Tried it again, same result. I pushed it to a nearby auto shop, and they tried: Jumping the battery, tapping the starter while trying to start the car, and both at the same time to no result.

Has anyone had a similar issue, and if so, what do you think would be the main problem? So far I've gotten suggestions involving the battery, starter, starter solenoid, and torque converter.