"Новичок-2012. Winter"

A question for the organizers: The rules state:

……6. It is necessary to make and save daily saves of all matches until the end of the tournament….

Does this mean saving after each turn, or is there an alternative?

Yes, daily saves are saves made at the end of each game day; they are usually made manually at the end of your turn, or you can use the Autosave counter program.
You can also read about why this is needed there.
It is also allowed to use a mod to improve the functional part of the interface – HoMM3 HD. It has a built-in autosaver.