I am trying to balance a board game, where monsters activated based on a given rule, and I am looking for a formula, which takes in account the attacks of the heroes (2-4 heroes [noh], each with a single attack that has a unique attack value [av], and penetration [ap]), and the number of the monsters (1-9 different monsters, each with different health [mh], armor [ma], current enrage value [mce], and max enrage value [mme]), and wants to find the minimum number of activations [na].
The rule set looks something like this: in turn, each hero makes an attack against a single monster (any one monster). For each attack a hero makes, the monsters health is reduced in the following way:
mh = max(0, mh - max(0, (av - max(0, ma-ap))))
After the attack, the monsters current enrage value gets subtracted by 1:
mce = mce -1. If
mce <= 0, we perform:
na = na + 1; mce = mce + mme;.
After each hero performed one move, each monsters
mce value changes the following way:
mce = mce - (noh - 1). If any monsters
mce <= 0, we perform the following operations on the monsters:
na = na + 1; mce = mce + mme;
Given these rules, I am looking for a mathematics formula that could calculate the
min value of
na for a given combat.
Would this calculation be even possible with a simple formula, or simulation is the only way to get the result I am looking for?
ma < (ap + av) this presumption is always true, for each monster and each hero attack.