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Author Topic: Easy Puzzles  (Read 304281 times)

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Watno

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Re: Easy Puzzles
« Reply #3125 on: March 10, 2018, 11:22:16 am »
0

Here's a solution that might actualyl work.

Play 2 Cultists
Counterfeit-Counterfeit-Counterfeit-Platinum-Platinum-Gold
Buy Graverobber
Buy Ambassador
Buy Bonfire trashing a Cultist, drawing Graverobber and Ambassador
Buy Villa
Play Villa
Play Graverobber to gain the Gold from the trash.
Buy another bonfire, trashing the second Cultist and the Villa, drawing the Gold
Play Villa
Ambassador the Gold (oppoents moat)
Buy Bonfire to trash Villa + Ambassador
Buy Gold.
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faust

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Re: Easy Puzzles
« Reply #3126 on: March 10, 2018, 02:30:27 pm »
0

Here's a solution that might actualyl work.

Play 2 Cultists
Counterfeit-Counterfeit-Counterfeit-Platinum-Platinum-Gold
Buy Graverobber
Buy Ambassador
Buy Bonfire trashing a Cultist, drawing Graverobber and Ambassador
Buy Villa
Play Villa
Play Graverobber to gain the Gold from the trash.
Buy another bonfire, trashing the second Cultist and the Villa, drawing the Gold
Play Villa
Ambassador the Gold (oppoents moat)
Buy Bonfire to trash Villa + Ambassador
Buy Gold.

The Cultists are still yours at the time you play the Gold.
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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.

navical

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Re: Easy Puzzles
« Reply #3127 on: March 10, 2018, 02:56:44 pm »
+1

Kingdom cards: Counterfeit, Gladiator/Fortune, Venture, Ambassador, Rogue, Villa, Lighthouse.
Events: Pathfinding, Bonfire
+Card token on Villa.
Opponent has a Lighthouse in play.

Starting hand: Counterfeit, Counterfeit, Fortune, Gold, Venture. Deck: 5 Ventures. Discard empty.
Play Venture, chaining into 5 Ventures. $6
Counterfeit -> Counterfeit -> Gold & Fortune. 3 Counterfeit plays plus 2 Gold plays is $9, so we have $15 when we play Fortune, = $30 after.
Also we have 6 Buys (3 Counterfeit plays, 2 Fortune plays).

Buy Ambassador, Rogue. 4 Buys, $22.
Buy Villa, play Villa, buy Villa, play Villa; draw Rogue and Ambassador. 4 Buys, $16.
Play Rogue, gaining Gold. 4 Buys, $18.
Buy Villa, play Villa, draw Gold. 4 Buys, $15.
Play Ambassador, returning Gold.
Buy Bonfire x3, trashing 3x Villa, Rogue, Ambassador. 1 Buy, $6.
Buy Gold.
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markusin

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Re: Easy Puzzles
« Reply #3128 on: March 12, 2018, 09:52:49 am »
0

I am playing a solitaire game. At the start of my current turn, I have no Action cards that are considered "mine" (in deck/discard, set aside, etc.). During my last turn, I drew no cards at the end of cleanup (or whenever you are supposed to draw cards at the end of the turn). During my current turn, I buy a Province. How did I do this?

Hard mode: Same scenario as above, except now at the start of my turn, I have absolutely no cards that are considered "mine" at the start of my turn.

Edit: As teamlyle pointed out, Coin tokens are one solution. What about if there are no coin tokens available?
« Last Edit: March 12, 2018, 10:23:27 am by markusin »
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teamlyle

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Re: Easy Puzzles
« Reply #3129 on: March 12, 2018, 10:10:31 am »
+1

8 coin tokens :P
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markusin

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Re: Easy Puzzles
« Reply #3130 on: March 12, 2018, 10:21:14 am »
0

8 coin tokens :P

That too. I didn't think of that. Are there other ways?
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Re: Easy Puzzles
« Reply #3131 on: March 12, 2018, 11:28:59 am »
+1

I think this is a load of cobblers.
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faust

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Re: Easy Puzzles
« Reply #3132 on: March 12, 2018, 11:32:37 am »
0

I am playing a solitaire game. At the start of my current turn, I have no Action cards that are considered "mine" (in deck/discard, set aside, etc.). During my last turn, I drew no cards at the end of cleanup (or whenever you are supposed to draw cards at the end of the turn). During my current turn, I buy a Province. How did I do this?

Hard mode: Same scenario as above, except now at the start of my turn, I have absolutely no cards that are considered "mine" at the start of my turn.

Edit: As teamlyle pointed out, Coin tokens are one solution. What about if there are no coin tokens available?
Easy mode: Have 4 Cobblers set aside to gain 4 Silvers.

Hard mode: played 4 Merchant Ships the turn before and trashed them with Bonfire.
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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.

markusin

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Re: Easy Puzzles
« Reply #3133 on: March 12, 2018, 11:46:20 am »
0

I am playing a solitaire game. At the start of my current turn, I have no Action cards that are considered "mine" (in deck/discard, set aside, etc.). During my last turn, I drew no cards at the end of cleanup (or whenever you are supposed to draw cards at the end of the turn). During my current turn, I buy a Province. How did I do this?

Hard mode: Same scenario as above, except now at the start of my turn, I have absolutely no cards that are considered "mine" at the start of my turn.

Edit: As teamlyle pointed out, Coin tokens are one solution. What about if there are no coin tokens available?
Easy mode: Have 4 Cobblers set aside to gain 4 Silvers.

Hard mode: played 4 Merchant Ships the turn before and trashed them with Bonfire.
Yeah I was thinking Crypt for the first part, but Cobbler works too.

I forgot about duration coin + Bonfire, but the solution is valid. The solution I had didn't use Bonfire.
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faust

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Re: Easy Puzzles
« Reply #3134 on: March 12, 2018, 12:18:58 pm »
0

I am playing a solitaire game. At the start of my current turn, I have no Action cards that are considered "mine" (in deck/discard, set aside, etc.). During my last turn, I drew no cards at the end of cleanup (or whenever you are supposed to draw cards at the end of the turn). During my current turn, I buy a Province. How did I do this?

Hard mode: Same scenario as above, except now at the start of my turn, I have absolutely no cards that are considered "mine" at the start of my turn.

Edit: As teamlyle pointed out, Coin tokens are one solution. What about if there are no coin tokens available?
Easy mode: Have 4 Cobblers set aside to gain 4 Silvers.

Hard mode: played 4 Merchant Ships the turn before and trashed them with Bonfire.
Yeah I was thinking Crypt for the first part, but Cobbler works too.

I forgot about duration coin + Bonfire, but the solution is valid. The solution I had didn't use Bonfire.
Well alternatively it can be that you played Procession-Procession-Merchant Ship, Merchant Ship and then your opponent used attacks to trash the remaining Procession. Or if you don't want opponent support you can always trash the Procession to Donate.
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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.

markusin

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Re: Easy Puzzles
« Reply #3135 on: March 12, 2018, 12:23:10 pm »
0

I am playing a solitaire game. At the start of my current turn, I have no Action cards that are considered "mine" (in deck/discard, set aside, etc.). During my last turn, I drew no cards at the end of cleanup (or whenever you are supposed to draw cards at the end of the turn). During my current turn, I buy a Province. How did I do this?

Hard mode: Same scenario as above, except now at the start of my turn, I have absolutely no cards that are considered "mine" at the start of my turn.

Edit: As teamlyle pointed out, Coin tokens are one solution. What about if there are no coin tokens available?
Easy mode: Have 4 Cobblers set aside to gain 4 Silvers.

Hard mode: played 4 Merchant Ships the turn before and trashed them with Bonfire.
Yeah I was thinking Crypt for the first part, but Cobbler works too.

I forgot about duration coin + Bonfire, but the solution is valid. The solution I had didn't use Bonfire.
Well alternatively it can be that you played Procession-Procession-Merchant Ship, Merchant Ship and then your opponent used attacks to trash the remaining Procession. Or if you don't want opponent support you can always trash the Procession to Donate.
Mhm that would work. It's solitaire so you'd need Donate.

My solution didn't use Durations, but it uses a whole bunch of events.
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teamlyle

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Re: Easy Puzzles
« Reply #3136 on: March 13, 2018, 02:33:27 pm »
0


You have Ferry, Training, Seaway, and Pathfinding on Villa

Alms for Villa, play Villa

Buy Villa, play Villa x 8

Buy 8 Peddlers and a Villa

Play Villa; play Peddlers

Buy Province

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"In your face." -Jacob
"Ooh. You just got burned." -Jack
"First place again, disciple!" -Ruikai
"Ugh... 399 cursors. Time to hack!" -Ben
"You gotta do your homework, dude!" -Yul
"Come on man, let the plat play." -The Plat
"It's nice to have a good 'in your face' every once in a while." -Jacob
"OBJECTION!!! The witness is being SUPER gross." -Phoenix Wright
"Milord, Inquisitor Fey sentences that burger to my stomach!" -Maya Fey
"Dude, I only had 4 cups of coffee this morning so I'm gonna crash." -Swi
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"Well, I prefer loyal people. I dont want anyone to be a La-Ya except for me." -La-Ya
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markusin

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Re: Easy Puzzles
« Reply #3137 on: March 13, 2018, 03:00:06 pm »
0


You have Ferry, Training, Seaway, and Pathfinding on Villa

Alms for Villa, play Villa

Buy Villa, play Villa x 8

Buy 8 Peddlers and a Villa

Play Villa; play Peddlers

Buy Province



Yeah this is very close to my solution.

My solution has the same token setup on Villa, except instead of playing Villa 8 times, you trash the second Villa with Advance to get a Border Village and a Villa. From there, you repeat the process of playing Villa and trashing Border Village with Advance for another Border Village and Villa until you can afford Province.
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Dingan

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Re: Easy Puzzles
« Reply #3138 on: March 15, 2018, 01:30:02 pm »
+3

I have x Banks and y Fortunes at my disposal, and no other coins/Treasures/tokens/shenanigans/anything. x and y can each be anything >= 0 (e.g. more than 10 Banks, more than 5 Fortunes). Which order should I play them to maximize my coin?
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Awaclus

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Re: Easy Puzzles
« Reply #3139 on: March 15, 2018, 01:52:23 pm »
0

I have x Banks and y Fortunes at my disposal, and no other coins/Treasures/tokens/shenanigans/anything. x and y can each be anything >= 0 (e.g. more than 10 Banks, more than 5 Fortunes). Which order should I play them to maximize my coin?

Are we supposed to find the mathematical formula which covers all the possible cases?

EDIT: If y*x >= x(x+1)/2, you should play all the Fortunes first but otherwise you should play all the Banks first.
« Last Edit: March 15, 2018, 02:03:57 pm by Awaclus »
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Chappy7

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Re: Easy Puzzles
« Reply #3140 on: March 15, 2018, 04:29:15 pm »
+4

If all of these really are easy puzzles, then I'm really stupid
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samath

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Re: Easy Puzzles
« Reply #3141 on: March 15, 2018, 07:03:25 pm »
+5

I have x Banks and y Fortunes at my disposal, and no other coins/Treasures/tokens/shenanigans/anything. x and y can each be anything >= 0 (e.g. more than 10 Banks, more than 5 Fortunes). Which order should I play them to maximize my coin?

Awaclus is right. Here's an explanation/proof.

First, if you've already played on Fortune, there is no reason to play any Banks before you play the rest of them since they don't double your money. So the optimal order must involve playing all of the Fortunes consecutively. This drastically cuts down on the possible solution space.

Let's say that you first play z Banks, then all y Fortunes, then the remaining x-z Banks. Your total money after playing the Banks is 1+2+...+z = z(z+1)/2. This is then doubled to z(z+1) by the first Fortune. Then the remaining Banks add (y+z+1)+(y+z+2)+...(y+x) = (y+x)(y+x+1)/2 - (y+z)(y+z+1)/2 = (x-z)(2y+x+z+1)/2 to the total coins.

We want to pick the z that maximizes this formula. Fortunately, it's a quadratic formula in z, which means that the scores lie on a parabola. Moreover, a quick inspection of the z^2 coefficient shows that this parabola is concave up, which means that the maximum must occur at one of the endpoints -- either z=0 or z=x. To figure out which is bigger, we just need to see how much money these yield and pick the bigger one. Let's see: z = 0 means we play all of the Fortunes first (they're essentially functioning as worse than Coppers here), and the total is x(2y+x+1)/2. Alternatively, if we play all of the Banks first, our total is simply x(x+1). So to determine which is bigger, we compare these two expressions. Dividing by x, we conclude that you should play the Banks first if x+1 > 2y, and you should play the Fortunes first if 2y > x+1. If they're equal, you can do either.

What does this mean intuitively? Essentially if you have a lot more Banks than Fortunes, it'll be more worthwhile to accumulate all of the Bank money first and then double it. If you don't have that many Banks, though, it'll be more important to make each of them give you lots of money by playing the Fortunes first.
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Re: Easy Puzzles
« Reply #3142 on: March 16, 2018, 02:29:32 pm »
+1

Awaclus is right. Here's an explanation/proof.

We really need LaTeX support on this forum.

I guess there's something like mathurl.com that might work as an alternative.
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Re: Easy Puzzles
« Reply #3143 on: March 16, 2018, 08:11:05 pm »
+1

Remember, next time you have a hand of no Banks and no Fortunes, you should play all of your Banks before Fortunes.
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faust

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Re: Easy Puzzles
« Reply #3144 on: March 26, 2018, 11:10:13 am »
0

On a board with no Haunted Mirror, I gain a Ghost from the Ghost pile and play it on the same turn. How?

Hard mode:             No tokens, opponents have Lighthouses out       
Extra hard mode:                 All of the above, but also non on-trash effects             

EDIT: Hard mode fixed. It is solvable now.
EDIT2: New extra hard mode. I can think of 2 possible solutions for extra hard.
« Last Edit: March 26, 2018, 11:29:21 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.

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Re: Easy Puzzles
« Reply #3145 on: March 26, 2018, 11:12:11 am »
0

On a board with no Haunted Mirror, I gain a Ghost from the Ghost pile and play it on the same turn. How?

Exorcist for Ghost.  Devil's workshop for Villa.
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faust

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Re: Easy Puzzles
« Reply #3146 on: March 26, 2018, 11:14:29 am »
0

On a board with no Haunted Mirror, I gain a Ghost from the Ghost pile and play it on the same turn. How?

Exorcist for Ghost.  Devil's workshop for Villa.
Villa only returns to Action phase if it is your buy phase. When you play Exorcist, it is your Night phase.
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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.

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Re: Easy Puzzles
« Reply #3147 on: March 26, 2018, 11:33:07 am »
0

Play tracker in action phase, (get a boons that doesn't gain you anything), don't buy anything, use exorcist in night phase on an expensive card for ghost, topdeck ghost, play devils workshop for cemetery, trash overgrown estate, draw ghost, play ghost. Right? If there's a way to do it with no on-trash abilities then I have no clue. Unless it's something goofy with possession or masquerade or 22 player noble brigand/messenger/lost city shenanigans
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Re: Easy Puzzles
« Reply #3148 on: March 26, 2018, 12:30:48 pm »
+3

Play tracker in action phase, (get a boons that doesn't gain you anything), don't buy anything, use exorcist in night phase on an expensive card for ghost, topdeck ghost, play devils workshop for cemetery, trash overgrown estate, draw ghost, play ghost. Right? If there's a way to do it with no on-trash abilities then I have no clue. Unless it's something goofy with possession or masquerade or 22 player noble brigand/messenger/lost city shenanigans

Technically that doesn't work because you can't gain Cemetery if it's a board without Haunted Mirror, but obviously you can achieve the same effect very easily just by using any Night that trashes, such as another Exorcist.

EDIT: for extra hard mode, you can gain Blessed Village with Vampire and get the +1 card boon to draw the Ghost, or you can get the +2 cards, discard 2 cards boon to draw the Ghost. Does that count as two different possible solutions?
« Last Edit: March 26, 2018, 12:34:22 pm by Awaclus »
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Re: Easy Puzzles
« Reply #3149 on: March 26, 2018, 12:35:31 pm »
0

Play tracker in action phase, (get a boons that doesn't gain you anything), don't buy anything, use exorcist in night phase on an expensive card for ghost, topdeck ghost, play devils workshop for cemetery, trash overgrown estate, draw ghost, play ghost. Right? If there's a way to do it with no on-trash abilities then I have no clue. Unless it's something goofy with possession or masquerade or 22 player noble brigand/messenger/lost city shenanigans

Using the Devil's Workshop to gain a Blessed Village, receiving Sea's Gift or Wind's Gift would work.
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