Dominion > Puzzles and Challenges

Set up the longest sequence of known top-decked cards

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jonaskoelker:
Pick a kingdom of your choice. Make a sequence of plays, after which you know 0 or more of the cards on top of your deck. What's the longest sequence of known cards you can set up?

Example solution:

The kingdom is Baker, Vault, Native Village, Ratcatcher, Duchess.
Open Vault/Ratcatcher, and buy Native Village and Duchess later.
Trash all Estates and mat the Ratcatcher.
Put all but 5 cards on your NV mat.
On the megaturn, unmat all your cards with NV; discard 7xCopper to Vault; play Duchess, shuffle, look at a Copper and put it back.

Now your deck has seven known cards on top, all of which are Copper.

sudgy:
Simple better solution: 10 Stashes

Awaclus:
There's Baker, Expedition, Travelling Fair and Ghost Ship in the kingdom.
Buy a bunch of Bakers and play them again and again over multiple turns to acquire 23094857239048571908475098327409582734098572309485720934875019827435928374095827349187240958273049857230948572903847509187345 tokens, then spend them all and buy Travelling Fairs and Expeditions until you have drawn your entire deck which contains the maximum number of cards a deck can possibly have. Then your opponent plays Ghost Ship.

jonaskoelker:

--- Quote from: Awaclus on November 19, 2017, 12:01:27 pm ---There's Baker, Expedition, Travelling Fair and Ghost Ship in the kingdom. [Use the first three to draw "everything", then put it back to your opponent's Ghost Ship.]

--- End quote ---
With Baker, Lurker, Hireling, Vault, Herald, Bonfire and Travelling Fair you can do at least 2 better:

Use Lurker/Hireling/Bonfire to set up an arbitrarily large number of "at the start of your turn, draw a card" effects, enough to draw your deck.
Use Baker to gain 4 6 coin tokens.
On the megaturn: discard everything to Vault, buy Travelling Fair, then topdeck everything with Herald's overpay effect; use Travelling Fair to topdeck Herald.

My solution strands a Vault in play where your solution strands 3 cards in hand; 3 - 1 = 2.

Open questions:

* If you get all the cards, how many is that?
* Can you do better than 2-piling? That is, can you play cards to gain cards in a way that's a net win?
EDIT: additions in italics, deletions in strikethrough. Thanks, navical.

navical:

--- Quote from: jonaskoelker on November 19, 2017, 12:23:43 pm ---On the megaturn: discard everything to Vault, then topdeck everything with Herald's overpay effect.

My solution strands a Vault in play where your solution strands 3 cards in hand; 3 - 1 = 2.

--- End quote ---
You need Travelling Fair as well, to topdeck the Herald - it can't topdeck itself with its overpay.

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