A program for determining luck/morality in Heroes 3!

mod(R, 12) + 1 < -m (m < 0). From this, it is clear that negative morale will appear twice as often as positive morale (with equal morale values).

I didn't quite understand why this conclusion was drawn.

Added 9 minutes later

it means we need to detect the fact of the program being used...

For official tournaments, this is impossible, but for online tournaments, it can be done... simply by writing a loader and creating the game on a server, and this loader prevents third-party programs from interfering with the game (it doesn't matter if it's for reading or writing (writing is already a clear case of cheating)).
But in Heroes, as far as I know, it is impossible to have a dedicated server during the game... which means it will also be impossible to track (prevent) the use of such a program.

Sincerely, K0Lb@zzeR.

Added 6 minutes later
And here's another thought that occurred to me...

Okay, let's say there's a program that simulates... like, you press a button and it gives you morale/luck... the result: you always get morale/luck... the main thing is to notice that either the skill or the troops are the same (in the case of morale).
I'm saying all this because you don't have to bother and click... you can write a program that changes the value of a memory cell, thereby contributing to the appearance of morale/luck... and notice... no one will be able to check whether such a program was used at all... maybe he didn't change anything... he just sat and waited for the moment (the green signal).
There is something to think about... whether such a program is needed or not... and what the consequences will be... that's the question...

Sincerely, K0Lb@zzeR.