There appears a small progress... I entered these lines into terminal:
sudo apt-get purge cups && sudo apt-get autoremove
sudo apt-get update && sudo apt-get install cup
sudo dpkg-reconfigure cups
Now, LMDE can see my printer, but I still cannot use it. When I tried to print the test page, I got the message:
Option 'printer-resolution' has value '(unknown IPP tag)' and cannot be edited
Idle - no profiles specified in PPD
My printer has the parallel connection to PC. Any advices, please?