It only answers questions in case you are looking for (2), but this should be implemented in a standalone solution for better performance and flexibility. The website does not describe this in any way, but you are referencing it as an answer my questions? I really don't get it. If that is the goal, what we need is information about the KDF that used in KPM and a way to test if the produced key is the correct one.
We are back to what I am asking in my first comment.
An external tool to generate the password and to feed (1) with it. But even in this case the right strategy would be to have: OK, there is a chance that the KPM user used KPM password generator not only to generate the passwords for the users' logins to different websites, but also to generate the KPM master password. What we’re looking for: A talented and experienced principal product marketing manager with a strong technical background. Kaspersky Password Manager Vault Feature Password Generator & Strength Feature Browser Extension Feature Kaspersky Password Manager Sync and access from PC. It will help you generate, use and manage all the passwords necessary for modern online life. One function is to protect the database with some encryption and one function to generate (good) passwords. Kaspersky Password Manager is an all-in-one password solution from the security giants. 
But technically, these are two different functions. If so, the goal is to find the master password that protects the database. Wait, just for clarification, the KPM is a tool like KeePass where users store their personal passwords in an encrypted database, right?
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