Slav4eG
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Quote from another resource, but I think it's a worthwhile idea:
"Re-rolls are allowed up to the 3rd day. After such a restart, the player who took the re-roll should take another hero (it will slightly change the balance of the factions, but it will also reduce the number of restarts - I think it's worth it)."
This rule might slightly reduce the time spent on restarts. And Tavern, Barbarian, and Inferno will become more popular...
The easiest way to reduce the time spent on restarts is to reduce the restarts themselves, 2x111 or 1x112, and one meeting at 115.
This is a really effective scheme; even with all the restarts, it takes about half an hour at most!
P.S. Although it's a good idea! :D