I just picked up a IIci system, my first acquisition in a while. According to the previous owner, it was working as of about two years ago. When I power it up now, there's a brief click from the area near the power button, which sounds like a normal power-on click. The power LED on the front also lights up. But after less than one second, everything goes dark again. No fans or disks or anything else ever spin up.

Bad power supply? Bad wiring? Where might you begin troubleshooting this one?