I got a Lenovo desktop PC a year ago and it worked great… For about 8 months. Then it started randomly turning off. After shutting down, I can't just press the power button for it to turn back on; I have to unplug and replug the power cord (no power switch on PSU) for it to understand that I'm pressing the power button. It only turns on in short sessions now and I have to be sure I save all my work before it does so, because there's no warning for it. It just… Shuts down. I eventually figured out that the longer I waited before turning it on again, the longer it would run. I have also narrowed the problem down to something being wrong with my PSU which is an FSP400-40AGPAA.
I tried to switch the PSU out for a Corsair CX650M, but, because Lenovo wants people to suffer I guess, none of the connectors are standard and it wouldn't fit the system (haven't looked into getting adapters).
This is my PC: https://www.newegg.com/...6883795102
So two questions: am I right about what's going on with my PC and how should I go about replacing the PSU if that actually is the problem?