I am in the EXACT same boat and my computer was attacked almost at the exact same time it seems as yours. I noticed it as it was happening though and quickly pulled the power plug from the back of the machine. Over 70k of my files now have the .DcRAT file extension.

Strangely, there was not one ransome note left anywhere on my medicine... did you have one left on yours? Perhaps I interrupted the process before it was complete and that's why.
I do have some potentially positive news though! Despite what several of the apparently misinformed and unaware persons above have stated this ransomware
can in fact be decrypted. There is basically only one person in the world though (aside from the idiot who attacked our machines of course) who can help us. He's just
a nice guy with a special gift who helps people in his spare time. You need to contact him via the bleepingcomputer.com forum and/or visit the
ID-Ransomware site and upload one of the encrypted files and it will identify the type of ransomware (DcRAT, which is apparently a variant of Lime ransomware, which is a
variant of HiddenTear ransomware.) and it will direct you to
this Twitter thread and basically tell you to DM/message Michael and take a number and wait patiently.
Here is the Bleeping Computer site forum topic discussing this particular malware where you can also try to contact Michael/you can see my message to him here as well:
Lime-Rat (HiddenTear) Ransomware Support Topic - Page 3 - Ransomware Help & Tech Support
Another potentially but probably not very helpful resource unfortunately is
this decryptor tool that Michael already made for HiddenTear ransomware and its spawned variants but I ran this for over 8 hours and it didn't work for me so I'm not sure that it will work for you either but give it a try!
That Dark Crystal DCRat malware thing that someone else above linked to is actually something different than what we are dealing with, though I thought the same thing myself at first. Actually, the source code and sketchy sales site for @$$hole "hackers" to buy the tools that were used to infect our computers are located
here and
here. I don't think there's any benefit to reaching out to any of the sketchy people at those websites and I don't think that downloading their software is a good idea either and would be pointless anyway because we still wouldn't have the specific encryption key that was generated when whatever terrible person took over our machines.
Hopefully this information is helpful for you. I've been waiting since Friday now for this Michael person to respond and it might be a while before he's able to help it seems unfortunately :-(.
Yes yes, make sure you always have a quality backup system in place, blah blah blah.

Also everyone else above should become a little more educated before they chime in and say things that aren't quite the case here. There is possibly a chance that your files can be decrypted... fingers crossed!