How to play Heroes of Might and Magic III online via Hamachi?

Unable to connect to players. Yesterday, the IP addresses matched in Hamachi and in the game, but there was no connection. Today, I removed Hamachi from the startup and now I can't launch Hamachi. It says that I don't have it. Launching Hamachi from the shortcut - it says: "Failed to connect to the system." Launching through the Start menu - it feels like I deleted Hamachi. I scanned it with an antivirus. Now Hamachi works, but there is still no connection. I tried disabling Kaspersky - it didn't help (and it used to work fine with Kaspersky).