1783019412Artemis_SpawnOfZeus52

What are we looking at here?

This is hearthstone battlegrounds. It's an autobattler. And this is a dumb combo that has a tendency to crash lobbies.

How does the game work? Well, in this instance we can just assume that the minions will die in an order. It alternates, first, the leftmost minion dies, then a random minion (it could be the leftmost minion), then the leftmost, then a random minion.

Now, all of these minions have a keyword called reborn, this means when they die, they resurrect (are summoned), without reborn

Also, all of the minions have an ability that reads "whenever a minion is summoned, give it reborn" it has 2 charges, and only one of them procs every time a minion with reborn dies and is resummoned.

So, at the the turn, they all have 2 charges

I'll represent them like this

2222222

Then the fleftmost one does, and it takes a charge from the next leftmost one to regain reborn

2122222

Then a random one dies, let's say position 4, a charge comes off the leftmost one

1122222

Then the leftmost one dies again

2022222

Then another random one, position 5

1022222

Then the first one again

2012222

Then another random one, let's say position 2 dies

1212222

Then the leftmost

2112222

And so on

.

.

Does this on average go on forever? Does it always? What's the fewest/greatest number of minion deaths that it would take to fully kill all minions so they don't come back?

I've been trying to work it out, but my brain hurts. I can't decide if it's actually infinite or not.