Outstandingly hilarious indeed.
Only few credits corrections: As for the country of origin, it was Polish/Hungarian/Czech co-production.
And one reference, that must not be omitted: the book "Adventures of good soldier Svejk during The Great War" by Jaroslav Hasek. See also Czech movie (the B&W one) and Austrian/Czech TV series.
My own adventure with the movie begun, when my father was voiced for military training, and he attended the cinema with his mates from military, when on off-duty weekend. I think, the situation doesn't need any comment, since the general feel at obligatory military training was similar to that showed in "C.K D.." When I first saw it, I've already read Hasek book, and have been familiar with this kind of humour; this allowed me to seek for small details left for curious watcher, like when the visiting general, is complaining about tiny rat-like mustache of company-leader... Take closer look... I don't know the quality of English translation available, but the language and dialogues are also quite significant for building the atmosphere. It is not a masterpiece, but excellent handicraft, and enjoyable story. Recommended for long winter nights.