u/Parzival_2k7

Hi so I'm working on an academic project (I won't get into too many details) but basically I need to know if the Empire of the Franks is considered to have continued with either the Kingdom of France or the HRE. Ik that it was split into 3 parts and then Middle and East Francia combined into the HRE, but the title of Emperor stayed with middle Francia which then went to the Holy Roman Emperor so I thought that must've been the continuation, but I keep running into sources saying that the Kingdom of France is considered the continuation of the Franks, and now I'm a little confused as to which is it. If anyone could help that would be really nice!