Dominion Strategy Forum

Dominion => Puzzles and Challenges => Topic started by: humcalc216 on April 23, 2018, 01:24:30 pm

Title: How many gains can you get with n cards?
Post by: humcalc216 on April 23, 2018, 01:24:30 pm
First, the less mathematical/less precise/TLDR version: How many cards can you gain in a turn, starting with an n-card deck all in your hand?

Mathematical Definition/Precise Rules:
Define a function f(n) as follows:
*aside from possible Zombies

Extra restrictions/clarifications:

The questions:

Some examples:
Title: Re: How many gains can you get with n cards?
Post by: Awaclus on April 23, 2018, 01:53:53 pm
The maximum is unbounded because you can keep gaining the same cards from the trash and then trashing them over and over again. I'm pretty sure we can do that with n=2 using this (https://www.youtube.com/watch?v=pbWdV9H2SKk) and Diadem (Tournament can replace Pooka or Tracker, as those are only used for their Heirlooms which we don't need because of Diadem).
Title: Re: How many gains can you get with n cards?
Post by: humcalc216 on April 23, 2018, 07:19:29 pm
The maximum is unbounded because you can keep gaining the same cards from the trash and then trashing them over and over again. I'm pretty sure we can do that with n=2 using this (https://www.youtube.com/watch?v=pbWdV9H2SKk) and Diadem (Tournament can replace Pooka or Tracker, as those are only used for their Heirlooms which we don't need because of Diadem).

You're right; of course I forgot something :/.  I had meant to only count a gain the first time a physical card is gained in a turn, and I've edited the original post to reflect this.

But, without that change, I guess f(2) is at least 276 plus however many Wisps and non-Diadem Prizes you can gain on this board (probably all of them).  Though, f(n) has to be greater than or equal to f(n-1) for some n>2, since you can have Kingdoms with more available cards than this one.
Title: Re: How many gains can you get with n cards?
Post by: faust on April 24, 2018, 07:22:01 am
For n=0, there are various ways to get to 4:
- Alms for Death Cart, exchange for Changeling.
- Alms for Villa, play Villa, buy Borrow, use Baker token, buy Stonemason overpaying by $1 to gain 2 Poor Houses.

If you had space for at least 3 Events, you could get insane with Villa+Borrow/Travelling Fair/Advance.

Random question on the "trash begins empty" edit: Does that mean we cannot use Necromancer or would Necromancer just not spawn any Zombies?
Title: Re: How many gains can you get with n cards?
Post by: humcalc216 on April 24, 2018, 10:56:36 am
Random question on the "trash begins empty" edit: Does that mean we cannot use Necromancer or would Necromancer just not spawn any Zombies?

Yes. Zombies begin in the Trash if Necromancer is in the Supply.  (Too many edge cases to keep track of!)
Title: Re: How many gains can you get with n cards?
Post by: majiponi on May 02, 2018, 07:05:36 pm
Just have many Coin tokens, trash your deck with Raze. Travelling Fair enables you to gain everything.
I think banning startup is needed.
Title: Re: How many gains can you get with n cards?
Post by: faust on May 03, 2018, 12:44:49 am
Just have many Coin tokens, trash your deck with Raze. Travelling Fair enables you to gain everything.
I think banning startup is needed.

It is:
  • The turn you take is effectively the first turn of the game.  So, you have no Durations in play, cards on mats, tokens on piles, etc.  And your opponent did nothing on their last turn (matters for Smugglers, Treasure Hunter).
Title: Re: How many gains can you get with n cards?
Post by: majiponi on May 03, 2018, 02:07:05 am
Just have many Coin tokens, trash your deck with Raze. Travelling Fair enables you to gain everything.
I think banning startup is needed.

It is:
  • The turn you take is effectively the first turn of the game.  So, you have no Durations in play, cards on mats, tokens on piles, etc.  And your opponent did nothing on their last turn (matters for Smugglers, Treasure Hunter).

Oh, I didn't notice. Then, I'll say f(2) is very huge. At least 30, I guess. (Hint: my puzzle thread)