Laptop keeps shutting off?

Recently, my Windows Lenovo laptop keeps just shutting off, no warning, and it doesn't come back on. Sometimes when I turn it back on it says something about damaged diskettes? Now it's become more frequent, to the point where it just shuts off almost immediately.

I don't think it's a heating issues, though other than that, I have no idea.

Added (1). Edit: it appears to be working in safe mode?

Added (2). Oh wait, safe mode is a no. Whoops.

99% of the time. If a laptop turns off with no warning and won't turn back on unless you let it sit for a while, it's almost always an overheating issue. Usually the CPU fan has stopped. Check to see if it's running while the laptop is on. The other 1% of the time this happens is usually from liquids being spilled on it or problems with the motherboard. Everything else will pretty much give you a bluescreen if there are issues.