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### AuthorTopic: The Boon challenge  (Read 545 times)

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#### faust

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##### The Boon challenge
« on: June 26, 2018, 02:39:45 pm »
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The puzzle is simple:

Using only Kingdom cards from Nocturne, what is the maximum number of times you can receive the same Boon over the course of a single turn?

Assume a legal 2-player game, cooperation from your opponent, and perfect shuffle luck.

Somewhat more interestingly, what is the number for a solitaire game?
« Last Edit: June 27, 2018, 10:57:01 am by faust »
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Since the number of points is within a constant factor of the number of city quarters, in the long run we can get (4 - ε) ↑↑ n points in n turns for any ε > 0.

#### crj

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##### Re: The Boon challenge
« Reply #1 on: June 26, 2018, 06:23:11 pm »
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I'm guessing unbounded. Take one of the unbounded sequences that we already know Villa enables and tweak it to repeat a Boon-giving payload.
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#### Drab Emordnilap

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##### Re: The Boon challenge
« Reply #2 on: June 26, 2018, 06:56:03 pm »
+6

Using only Kingdom cards from Nocturne,
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#### Kirian

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##### Re: The Boon challenge
« Reply #3 on: June 26, 2018, 08:16:41 pm »
+4

I'm no good at these challenges, so consider my 16 as an initial lower bound:

6 copies of Druid are set aside with 6 copies of Ghost.  You have 4 copies of Druid in hand.  One of the set-aside Boons is +Action.
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#### faust

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##### Re: The Boon challenge
« Reply #4 on: June 27, 2018, 03:13:07 am »
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I'm no good at these challenges, so consider my 16 as an initial lower bound:

6 copies of Druid are set aside with 6 copies of Ghost.  You have 4 copies of Druid in hand.  One of the set-aside Boons is +Action.
I can say that the Boon in my solution is not set aside by Druid, and my lower bound is higher. (I think 16 is actually the maximum number of times you can play Druid with Nocturne only, unless I missed some shenanigans involving Necromancer).
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Since the number of points is within a constant factor of the number of city quarters, in the long run we can get (4 - ε) ↑↑ n points in n turns for any ε > 0.

#### crj

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##### Re: The Boon challenge
« Reply #5 on: June 27, 2018, 10:24:50 am »
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(Rather more awake now than I was yesterday!)
(I think 16 is actually the maximum number of times you can play Druid with Nocturne only, unless I missed some shenanigans involving Necromancer).
I'm tempted to agree. Ghost is the only Throne, and there are only six of them. I think shenanigans need either trash-from-play or gain-from-trash, both of which are missing?

I'm guessing the optimal answer is going to revolve around having Druid present to take three Boons out of circulation, your "opponent" gaining eight Blessed Villages and saving those Boons for next turn, then pummelling Ghostly Pixies plus whatever else you can find to keep receiving the one Boon left in the pile?
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#### faust

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##### Re: The Boon challenge
« Reply #6 on: June 27, 2018, 10:58:34 am »
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(Rather more awake now than I was yesterday!)
(I think 16 is actually the maximum number of times you can play Druid with Nocturne only, unless I missed some shenanigans involving Necromancer).
I'm tempted to agree. Ghost is the only Throne, and there are only six of them. I think shenanigans need either trash-from-play or gain-from-trash, both of which are missing?

I'm guessing the optimal answer is going to revolve around having Druid present to take three Boons out of circulation, your "opponent" gaining eight Blessed Villages and saving those Boons for next turn, then pummelling Ghostly Pixies plus whatever else you can find to keep receiving the one Boon left in the pile?
I wanted to put some condition that disallows setting yourself up like that, then figured that the easiest way is probably to just demand a solitaire game. Though the question of "assume neither player gained a card during the 2 previous turns" is also interesting.
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Since the number of points is within a constant factor of the number of city quarters, in the long run we can get (4 - ε) ↑↑ n points in n turns for any ε > 0.

#### Kirian

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##### Re: The Boon challenge
« Reply #7 on: June 28, 2018, 01:40:59 pm »
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I'm no good at these challenges, so consider my 16 as an initial lower bound:

6 copies of Druid are set aside with 6 copies of Ghost.  You have 4 copies of Druid in hand.  One of the set-aside Boons is +Action.
I can say that the Boon in my solution is not set aside by Druid, and my lower bound is higher. (I think 16 is actually the maximum number of times you can play Druid with Nocturne only, unless I missed some shenanigans involving Necromancer).

Yes, I'm pretty sure 16 is the upper bound on what my solution could do, so like I said, a complete lower bound for any other solution.
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