Rehabilitation of cheaters.

feeling it is one thing, but actually verifying that the guy is cheating is a completely different thing;

To verify that the opponent played fair, you need to load a save after the game and see what they did. Obviously, if their hero traveled five times longer than possible or broke through something that cannot be broken through under normal conditions, then everything is clear immediately. We had many such cases on HeroesWorld. One of the most recent a few posts above. This type of cheating is usually resorted to by very weak and unknown players who are quickly caught. A strong player will not resort to this because such a stain is very hard to wash off.

I can't understand: why cheat in Heroes 3?, just to stroke your own ego? what fun is there in the game then?

This is a philosophical question with no answer :smile15:
As written above, I advise you not to bother with this nonsense. Play with trusted players, of which there are many on this site.

Added after 41 second

horizontal move = 100 move points, diagonal = 150 move points;

Have you heard anything about the Pythagorean theorem? :confused: