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mith

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Recommended Kingdoms (turn off autolink before viewing!)
« on: June 15, 2016, 05:14:01 pm »
+5

With the release of Empires, I've updated my Recommended Kingdoms spreadsheet, with the goal of eventually finding a maximal set of disjoint kingdoms*. In doing so, I noticed that the wiki information is incomplete for GenCon 2012 (included are the kingdoms played by dondon151, but the full set of kingdoms is listed in the previous post by loppo; it's also worth noting that exactly half of these are repeats, of either published kingdoms or kingdoms used at previous tournaments). I'll edit the article at some point (unless someone beats me to it).

Anyway, it left me wondering if there are any more officially designed tournament sets out there which are not on the wiki. These are the ones I have at the moment:

Designed by DXV:
Essen 2011
GenCon 2011 (both from here)
GenCon 2012 (from here)

Designed by DS.com:
Isodom 3
DS.com 2011
DS.com 2012
GokoDom 3
Dominion League S7

Full listing in spreadsheet form is here, if anyone wants it. At some point I'll get around to generating a list of disjoint sets.

*Probably not provably so; this is an NP-complete problem, and it's a large enough set to make brute force impractical. A post-Adventures example, with the further restriction of no single-set kingdoms, and only using those published in rulebooks, using just over half of the available kingdom cards:

Repetition   Seaside   Base   Pearl Diver   Pirate Ship   Treasury   Caravan   Explorer   Outpost   Workshop   Chancellor   Militia   Festival         
The Kings Army   Prosperity   Base   Expand   Goons   King's Court   Rabble   Vault   Bureaucrat   Council Room   Moat   Spy   Village         
Last Laughs   Cornucopia   Intrigue   Farming Village   Harvest   Horse Traders   Hunting Party   Jester   Minion   Nobles   Pawn   Steward   Swindler         
The Dukes Ball   Hinterlands   Intrigue   Conspirator   Duke   Harem   Masquerade   Upgrade   Duchess   Haggler   Inn   Noble Brigand   Scheme         
Travelers   Hinterlands   Seaside   Cutpurse   Island   Lookout   Merchant Ship   Warehouse   Cartographer   Crossroads   Farmland   Silk Road   Stables         
Treasure Trove   Hinterlands   Prosperity   Bank   Monument   Royal Seal   Trade Route   Venture   Cache   Develop   Fool's Gold   Ill-Gotten Gains   Mandarin         
Lamentations   Dark Ages   Alchemy   Beggar   Catacombs   Counterfeit   Forager   Ironmonger   Pillage   Apothecary   Golem   Herbalist   University         
Honor Among Thieves   Dark Ages   Prosperity   Bandit Camp   Procession   Rebuild   Rogue   Squire   Forge   Hoard   Peddler   Quarry   Watchtower         
Dark Carnival   Dark Ages   Cornucopia   Band of Misfits   Cultist   Fortress   Hermit   Junk Dealer   Knights   Fairgrounds   Hamlet   Horn of Plenty   Menagerie         
Gifts and Mathoms   Adventures   Seaside   Bridge Troll   Caravan Guard   Hireling   Lost City   Messenger   Ambassador   Embargo   Haven   Salvager   Smugglers      Expedition   Quest
Spendthrift   Adventures   Guilds   Artificer   Gear   Magpie   Miser   Storyteller   Doctor   Masterpiece   Merchant Guild   Soothsayer   Stonemason      Lost Arts   
Queen of Tan   Adventures   Guilds   Coin of the Realm   Duplicate   Guide   Ratcatcher   Royal Carriage   Advisor   Butcher   Candlestick Maker   Herald   Journeyman      Pathfinding   Save
« Last Edit: November 09, 2018, 11:19:49 am by mith »
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mith

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Re: Recommended Kingdoms
« Reply #1 on: June 23, 2016, 06:55:51 pm »
0

I wasn't ever able to find a 15 set solution by hand, which was a little surprising given that it's trivial to get to 14 from the previous solution by adding the two Empires-only sets (which are disjoint). However, I wrote a script to brute force it (currently running on a limited data set to find more interesting "cross-set" solutions without repeated expansion pairings), and have at least found a 15 set solution (by way of an 11 set pre-Adventures solution with the Adventures-only and Empires-only sets tacked on):

20   Chemistry Lesson   Alchemy   Base   Alchemist   Golem   Philosopher's Stone   University   Bureaucrat   Market   Moat   Remodel   Witch   Woodcutter
DX10   GenCon 2011 Game 4   Prosperity   Base   Adventurer   Council Room   Mine   Moneylender   Village   Expand   Loan   Quarry   Vault   Venture
61   Watery Graves   Dark Ages   Seaside   Count   Graverobber   Hermit   Scavenger   Urchin   Native Village   Pirate Ship   Salvager   Treasure Map   Treasury
63   Infestations   Dark Ages   Alchemy   Armory   Cultist   Feodum   Market Square   Rats   Wandering Minstrel   Apprentice   Scrying Pool   Transmute   Vineyard
68   To the Victor   Dark Ages   Cornucopia   Bandit Camp   Counterfeit   Death Cart   Marauder   Pillage   Sage   Harvest   Hunting Party   Remake   Tournament
70   Expeditions   Dark Ages   Hinterlands   Altar   Catacombs   Ironmonger   Poor House   Storeroom   Crossroads   Farmland   Highway   Spice Merchant   Tunnel
74   Name That Card   Guilds   Intrigue   Baker   Doctor   Plaza   Advisor   Masterpiece   Courtyard   Wishing Well   Harem   Tribute   Nobles
77   Gentle Intro   Adventures   Adventures   Amulet   Distant Lands   Dungeon   Duplicate   Giant   Hireling   Port   Ranger   Ratcatcher   Treasure TroveScouting Party
78   Expert Intro   Adventures   Adventures   Caravan Guard   Coin of the Realm   Haunted Woods   Lost City   Magpie   Peasant   Raze   Swamp Hag   Transmogrify   Wine MerchantMission   Plan
97   Basic Intro   Empires   Empires   Castles   Chariot Race   City Quarter   Engineer   Farmers' Market   Forum   Legionary   Patrician/Emporium   Sacrifice   VillaWeddingTower
98   Advanced Intro   Empires   Empires   Archive   Capital   Catapult/Rocks   Crown   Enchantress   Gladiator/Fortune   Groundskeeper   Royal Blacksmith   Settlers/Bustling Village   TempleArena   Triumphal Arch
DS4   Isodom 3 Round 4   Forge   Torturer   Governor   Mountebank   Wharf   Sea Hag   Worker's Village   Familiar   Fishing Village   Chapel
DS8   2011 DS.com Game 3   Haven   Great Hall   Workshop   Masquerade   Ironworks   Island   Throne Room   Tactician   Goons   King's Court
DS29   GokoDom 3 Game 4   Horse Traders   Fool's Gold   Menagerie   Develop   Warehouse   Conspirator   Minion   Duke   Horn of Plenty   Candlestick Maker
DS39   Dominion League S7 Game 4   Embargo   Secret Chamber   Watchtower   Swindler   Bridge   Procession   Talisman   Gardens   Jester   Mint


(There does not exist an 11 set pre-Adventures solution using only Donald-designed multi-expansion sets with no repeat pairings. There are likely more 11 set solutions when including the community designed sets, this is just the first one found.)

I'm holding out hope for a full 15 set solution with the extra conditions; I'm not overly optimistic at the moment though. Maybe 16 is possible with relaxed conditions, but it could take a long time to prove it is, and a longer time to prove it isn't.
« Last Edit: June 25, 2016, 09:38:28 am by mith »
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mith

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Re: Recommended Kingdoms
« Reply #2 on: June 24, 2016, 11:36:30 am »
0

No 15 set solutions over all expansions with the more restrictive conditions. Might try relaxing them over the weekend.
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mith

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Re: Recommended Kingdoms
« Reply #3 on: June 24, 2016, 07:01:27 pm »
+2

Didn't even take the weekend... 16 set solution with no restrictions:

7   Secret Schemes   Intrigue   Intrigue   Conspirator   Harem   Ironworks   Pawn   Saboteur   Shanty Town   Steward   Swindler   Trading Post   Tribute
26   Big Actions   Prosperity   Prosperity   City   Expand   Grand Market   King's Court   Loan   Mint   Quarry   Rabble   Talisman   Vault
39   Introduction   Hinterlands   Hinterlands   Cache   Crossroads   Develop   Haggler   Jack of all Trades   Margrave   Nomad Camp   Oasis   Spice Merchant   Stables
55   Grim Parade   Dark Ages   Dark Ages   Armory   Band of Misfits   Catacombs   Cultist   Forager   Fortress   Hunting Grounds   Knights   Market Square   Procession
77   Gentle Intro   Adventures   Adventures   Amulet   Distant Lands   Dungeon   Duplicate   Giant   Hireling   Port   Ranger   Ratcatcher   Treasure Trove   Scouting Party
78   Expert Intro   Adventures   Adventures   Caravan Guard   Coin of the Realm   Haunted Woods   Lost City   Magpie   Peasant   Raze   Swamp Hag   Transmogrify   Wine Merchant   Mission   Plan
97   Basic Intro   Empires   Empires   Castles   Chariot Race   City Quarter   Engineer   Farmers' Market   Forum   Legionary   Patrician/Emporium   Sacrifice   Villa   Wedding   Tower
98   Advanced Intro   Empires   Empires   Archive   Capital   Catapult/Rocks   Crown   Enchantress   Gladiator/Fortune   Groundskeeper   Royal Blacksmith   Settlers/Bustling Village   Temple   Arena   Triumphal Arch
20   Chemistry Lesson   Alchemy   Base   Alchemist   Golem   Philosopher's Stone   University   Bureaucrat   Market   Moat   Remodel   Witch   Woodcutter
DX16   GenCon 2011 Game 10   Alchemy   Intrigue   Courtyard   Duke   Great Hall   Minion   Nobles   Scout   Wishing Well   Herbalist   Transmute   Vineyard
DX6   Essen 2011 Game 6   Cornucopia   Base   Cellar   Feast   Laboratory   Mine   Workshop   Fairgrounds   Farming Village   Fortune Teller   Horn of Plenty   Menagerie
48   Diplomacy   Hinterlands   Seaside   Ambassador   Bazaar   Caravan   Embargo   Smugglers   Embassy   Farmland   ill-Gotten Gains   Noble Brigand   Trader
61   Watery Graves   Dark Ages   Seaside   Count   Graverobber   Hermit   Scavenger   Urchin   Native Village   Pirate Ship   Salvager   Treasure Map   Treasury
68   To the Victor   Dark Ages   Cornucopia   Bandit Camp   Counterfeit   Death Cart   Marauder   Pillage   Sage   Harvest   Hunting Party   Remake   Tournament
72   Clean Living   Guilds   Base   Butcher   Baker   Candlestick Maker   Doctor   Soothsayer   Militia   Thief   Moneylender   Gardens   Village
DS4   Isodom 3 Round 4   Forge   Torturer   Governor   Mountebank   Wharf   Sea Hag   Worker's Village   Familiar   Fishing Village   Chapel


Half of these are single-expansion, no big surprise there. The only expansion without at least half its cards present is Guilds, which is understandable. (Seaside and Prosperity each only have 10 cards from Donald-designed kingdoms, but each has 3 cards in the Isodom 3 one to get them each to 13 cards.)
« Last Edit: July 14, 2016, 12:16:59 pm by mith »
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mith

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Re: Recommended Kingdoms
« Reply #4 on: June 28, 2016, 11:18:14 am »
0

Haven't found anything better than 16 yet, and it's becoming increasingly unlikely that I will (though the script is still checking possibilities with the first set as 3, so still a long long way to go).

Next project will be looking for other 16 set solutions with fewer single-expansion sets. And then perhaps a design contest using the leftovers... or just a full 26 set design contest. If there's interest in either of those. (First I should probably get the Treasure Chest contest updated though!)
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mith

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Re: Recommended Kingdoms
« Reply #5 on: July 05, 2016, 12:43:58 pm »
0

Script finally finished, 16 is the max.
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mith

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Re: Recommended Kingdoms
« Reply #6 on: July 05, 2016, 05:55:18 pm »
0

Solution with 7 single-expansion sets:

26   Big Actions   Prosperity   Prosperity   City   Expand   Grand Market   King's Court   Loan   Mint   Quarry   Rabble   Talisman   Vault   
39   Introduction   Hinterlands   Hinterlands   Cache   Crossroads   Develop   Haggler   Jack of all Trades   Margrave   Nomad Camp   Oasis   Spice Merchant   Stables   
55   Grim Parade   Dark Ages   Dark Ages   Armory   Band of Misfits   Catacombs   Cultist   Forager   Fortress   Hunting Grounds   Knights   Market Square   Procession   
77   Gentle Intro   Adventures   Adventures   Amulet   Distant Lands   Dungeon   Duplicate   Giant   Hireling   Port   Ranger   Ratcatcher   Treasure Trove   Scouting Party   
78   Expert Intro   Adventures   Adventures   Caravan Guard   Coin of the Realm   Haunted Woods   Lost City   Magpie   Peasant   Raze   Swamp Hag   Transmogrify   Wine Merchant   Mission   Plan   
97   Basic Intro   Empires   Empires   Castles   Chariot Race   City Quarter   Engineer   Farmers' Market   Forum   Legionary   Patrician/Emporium   Sacrifice   Villa   Wedding   Tower   
98   Advanced Intro   Empires   Empires   Archive   Capital   Catapult/Rocks   Crown   Enchantress   Gladiator/Fortune   Groundskeeper   Royal Blacksmith   Settlers/Bustling Village   Temple   Arena   Triumphal Arch
20   Chemistry Lesson   Alchemy   Base   Alchemist   Golem   Philosopher's Stone   University   Bureaucrat   Market   Moat   Remodel   Witch   Woodcutter   
DX16   GenCon 2011 Game 10   Alchemy   Intrigue   Courtyard   Duke   Great Hall   Minion   Nobles   Scout   Wishing Well   Herbalist   Transmute   Vineyard   
30   Paths to Victory   Prosperity   Intrigue   Bishop   Counting House   Goons   Monument   Peddler   Baron   Harem   Pawn   Shanty Town   Upgrade   
DX6   Essen 2011 Game 6   Cornucopia   Base   Cellar   Feast   Laboratory   Mine   Workshop   Fairgrounds   Farming Village   Fortune Teller   Horn of Plenty   Menagerie
48   Diplomacy   Hinterlands   Seaside   Ambassador   Bazaar   Caravan   Embargo   Smugglers   Embassy   Farmland   ill-Gotten Gains   Noble Brigand   Trader   
61   Watery Graves   Dark Ages   Seaside   Count   Graverobber   Hermit   Scavenger   Urchin   Native Village   Pirate Ship   Salvager   Treasure Map   Treasury   
68   To the Victor   Dark Ages   Cornucopia   Bandit Camp   Counterfeit   Death Cart   Marauder   Pillage   Sage   Harvest   Hunting Party   Remake   Tournament   
72   Clean Living   Guilds   Base   Butcher   Baker   Candlestick Maker   Doctor   Soothsayer   Militia   Thief   Moneylender   Gardens   Village   
DS4   Isodom 3 Round 4   Forge   Torturer   Governor   Mountebank   Wharf   Sea Hag   Worker's Village   Familiar   Fishing Village   Chapel   


This is almost the same as the previous solution, substituting a Prosperity/Intrigue set for the all-Intrigue one. (Now it's Intrigue with 13 cards in, thanks to 1 from the Isodom 3 set and a 7/3 split with Alchemy.)
« Last Edit: July 05, 2016, 05:56:52 pm by mith »
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mith

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Re: Recommended Kingdoms
« Reply #7 on: July 06, 2016, 11:49:58 am »
0

Solution with 6 single-expansion sets:

26   Big Actions   Prosperity   Prosperity   City   Expand   Grand Market   King's Court   Loan   Mint   Quarry   Rabble   Talisman   Vault   
42   Gambits   Hinterlands   Hinterlands   Cartographer   Crossroads   Embassy   Inn   Jack of all Trades   Mandarin   Nomad Camp   Oasis   Oracle   Tunnel   
55   Grim Parade   Dark Ages   Dark Ages   Armory   Band of Misfits   Catacombs   Cultist   Forager   Fortress   Hunting Grounds   Knights   Market Square   Procession   
56   Chess With Death   Dark Ages   Dark Ages   Bandit Camp   Graverobber   Junk Dealer   Mystic   Pillage   Rats   Sage   Scavenger   Storeroom   Vagrant   
97   Basic Intro   Empires   Empires   Castles   Chariot Race   City Quarter   Engineer   Farmers' Market   Forum   Legionary   Patrician/Emporium   Sacrifice   Villa   Wedding   Tower   
98   Advanced Intro   Empires   Empires   Archive   Capital   Catapult/Rocks   Crown   Enchantress   Gladiator/Fortune   Groundskeeper   Royal Blacksmith   Settlers/Bustling Village   Temple   Arena   Triumphal Arch
15   Reach for Tomorrow   Seaside   Base   Lookout   Sea Hag   Ghost Ship   Treasure Map   Cutpurse   Cellar   Spy   Council Room   Village   Adventurer   
16   Repetition   Seaside   Base   Pearl Diver   Pirate Ship   Treasury   Caravan   Explorer   Outpost   Workshop   Chancellor   Militia   Festival   
20   Chemistry Lesson   Alchemy   Base   Alchemist   Golem   Philosopher's Stone   University   Bureaucrat   Market   Moat   Remodel   Witch   Woodcutter   
60   Invasion   Dark Ages   Intrigue   Beggar   Marauder   Rogue   Squire   Urchin   Harem   Mining Village   Swindler   Torturer   Upgrade   
91   Traders and Raiders   Adventures   Hinterlands   Haunted Woods   Lost City   Page   Port   Wine Merchant   Develop   Farmland   Haggler   Spice Merchant   Trader   Raid   
95   Spendthrift   Adventures   Guilds   Artificer   Gear   Magpie   Miser   Storyteller   Doctor   Masterpiece   Merchant Guild   Soothsayer   Stonemason   Lost Arts   
96   Queen of Tan   Adventures   Guilds   Coin of the Realm   Duplicate   Guide   Ratcatcher   Royal Carriage   Advisor   Butcher   Candlestick Maker   Herald   Journeyman   Pathfinding   Save   
DS14   2011 DS.com Game 9   Chapel   Fishing Village   Watchtower   Ironworks   Gardens   Bridge   Highway   Mountebank   Ill-Gotten Gains   Goons   
DX16   GenCon 2011 Game 10   Alchemy   Intrigue   Courtyard   Duke   Great Hall   Minion   Nobles   Scout   Wishing Well   Herbalist   Transmute   Vineyard   
DX21   GenCon 2011 Game 15   Cornucopia   Seaside   Bazaar   Embargo   Haven   Navigator   Warehouse   Wharf   Fortune Teller   Hamlet   Horn of Plenty   Hunting Party


More significant changes here; this one includes the only two compatible Guilds sets, while Cornucopia is takes its place as the most unloved.
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AdrianHealey

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Re: Recommended Kingdoms
« Reply #8 on: July 06, 2016, 11:57:49 am »
+3

Could you clarify what is your goal for a non-specialist, because I also like thinkng anout kingdoms.
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mith

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Re: Recommended Kingdoms
« Reply #9 on: July 06, 2016, 01:18:13 pm »
0

The goal of the script is to find the largest group of recommended kingdom sets which do not have any cards in common. (The idea being that one could take a collection and pre-sort the cards into these kingdoms, and have 16 designed games ready to go.)

Personally, I don't play often IRL (in part because I get my fix online, but mostly because we just don't play games that much since baby), so the idea of having some games ready to go when the opportunity arises is appealing. I've done this in the past without bothering with the recommended kingdom sets (basically, generated a bunch of random sets which were constrained to two or three expansions, I think with a minimum of 3 cards from each or something like that); using the recommended kingdoms is more a mathematical curiosity than anything. As I've mentioned elsewhere, I like the idea of collectively designing a full set of 26 kingdoms using every card, though it would be a beast to actually do (and whether the results would be significantly better than just randomly splitting the cards into sets, who knows?).
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AdrianHealey

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Re: Recommended Kingdoms
« Reply #10 on: July 06, 2016, 03:39:10 pm »
0

So these are the recommended kingdoms from the rules?

If there are 260 cards, you can't make 26 sets, right? Blackmarket and young witch shenanigans?

I might want to come up with a bunch of kingdoms. Sounds like fun.
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mith

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Re: Recommended Kingdoms
« Reply #11 on: July 06, 2016, 03:56:49 pm »
0

These are recommended kingdoms from the rules + kingdoms designed by DXV for tournaments + kingdoms designed by the DS.com community for tournaments.

And yes, if you count the Bane and/or the Black Market cards, you can't get to a full 26 sets. However, you can ignore them for the purpose of counting cards as used (either duplicating the Bane card, or playing with a random $2-3 as the Bane rather than designing it in, and just pulling that card from the other set it appears in; for the Black Market, you can use the randomizer deck and grab cards which are actually bought from their respective sets). Or you can limit it to 23, say, and use the leftover 29 cards as the Black Market deck.

Solution with 5 single-expansion sets:

16   Repetition   Seaside   Base   Pearl Diver   Pirate Ship   Treasury   Caravan   Explorer   Outpost   Workshop   Chancellor   Militia   Festival
20   Chemistry Lesson   Alchemy   Base   Alchemist   Golem   Philosopher's Stone   University   Bureaucrat   Market   Moat   Remodel   Witch   Woodcutter
26   Big Actions   Prosperity   Prosperity   City   Expand   Grand Market   King's Court   Loan   Mint   Quarry   Rabble   Talisman   Vault
36   Last Laughs   Cornucopia   Intrigue   Farming Village   Harvest   Horse Traders   Hunting Party   Jester   Minion   Nobles   Pawn   Steward   Swindler
37   The Spice of Life   Cornucopia   Intrigue   Fairgrounds   Horn of Plenty   Remake   Tournament   Young Witch   Coppersmith   Courtyard   Great Hall   Mining Village   Tribute   Wishing Well
46   The Dukes Ball   Hinterlands   Intrigue   Conspirator   Duke   Harem   Masquerade   Upgrade   Duchess   Haggler   Inn   Noble Brigand   Scheme
47   Travelers   Hinterlands   Seaside   Cutpurse   Island   Lookout   Merchant Ship   Warehouse   Cartographer   Crossroads   Farmland   Silk Road   Stables
52   Treasure Trove   Hinterlands   Prosperity   Bank   Monument   Royal Seal   Trade Route   Venture   Cache   Develop   Fool's Gold   Ill-Gotten Gains   Mandarin
55   Grim Parade   Dark Ages   Dark Ages   Armory   Band of Misfits   Catacombs   Cultist   Forager   Fortress   Hunting Grounds   Knights   Market Square   Procession
56   Chess With Death   Dark Ages   Dark Ages   Bandit Camp   Graverobber   Junk Dealer   Mystic   Pillage   Rats   Sage   Scavenger   Storeroom   Vagrant
84   Gifts and Mathoms   Adventures   Seaside   Bridge Troll   Caravan Guard   Hireling   Lost City   Messenger   Ambassador   Embargo   Haven   Salvager   Smugglers   Expedition   Quest
95   Spendthrift   Adventures   Guilds   Artificer   Gear   Magpie   Miser   Storyteller   Doctor   Masterpiece   Merchant Guild   Soothsayer   Stonemason   Lost Arts
96   Queen of Tan   Adventures   Guilds   Coin of the Realm   Duplicate   Guide   Ratcatcher   Royal Carriage   Advisor   Butcher   Candlestick Maker   Herald   Journeyman   Pathfinding   Save
97   Basic Intro   Empires   Empires   Castles   Chariot Race   City Quarter   Engineer   Farmers' Market   Forum   Legionary   Patrician/Emporium   Sacrifice   Villa   Wedding   Tower
98   Advanced Intro   Empires   Empires   Archive   Capital   Catapult/Rocks   Crown   Enchantress   Gladiator/Fortune   Groundskeeper   Royal Blacksmith   Settlers/Bustling Village   Temple   Arena   Triumphal Arch
DS4   Isodom 3 Round 4   Forge   Torturer   Governor   Mountebank   Wharf   Sea Hag   Worker's Village   Familiar   Fishing Village   Chapel


This is the first solution I've found which includes Young Witch, so 161 cards are used. Alchemy and Base are both below half here, with Cornucopia paired with Intrigue twice (and Guilds still paired with Adventures twice).
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Re: Recommended Kingdoms
« Reply #12 on: July 06, 2016, 05:38:10 pm »
0

Btw, if you truly want to use every card, that means Events and Landmarks as well. I've thought a little bit about how I might do that for the 26 Kingdom problem, and the best I've come up with which keeps the ratios reasonably close to fully random is:

E/L/#
0/0/2
0/1/2
0/2/1
1/0/3
1/1/3
1/2/2
2/0/6
2/1/4
2/2/3

Limiting it to 2 total Events+Landmarks is impossible, since 55/26 > 2. Limiting to 3 total is possible, but it's more difficult to have representative games with 0 Events or 0 Landmarks (or both). I've chosen here to limit to 2 Events and 2 Landmarks, independently, which seems a good compromise.

Doing it with only 23 Kingdoms would skew things more, but I guess if you're insisting on playing with all the Events and Landmarks you probably don't mind playing with them in almost every game.
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Re: Recommended Kingdoms
« Reply #13 on: July 07, 2016, 12:05:41 pm »
0

Solution with 4 single-expansion sets:

28   The Kings Army   Prosperity   Base   Expand   Goons   King's Court   Rabble   Vault   Bureaucrat   Council Room   Moat   Spy   Village
36   Last Laughs   Cornucopia   Intrigue   Farming Village   Harvest   Horse Traders   Hunting Party   Jester   Minion   Nobles   Pawn   Steward   Swindler
37   The Spice of Life   Cornucopia   Intrigue   Fairgrounds   Horn of Plenty   Remake   Tournament   Young Witch   Coppersmith   Courtyard   Great Hall   Mining Village   Tribute   Wishing Well
46   The Dukes Ball   Hinterlands   Intrigue   Conspirator   Duke   Harem   Masquerade   Upgrade   Duchess   Haggler   Inn   Noble Brigand   Scheme
47   Travelers   Hinterlands   Seaside   Cutpurse   Island   Lookout   Merchant Ship   Warehouse   Cartographer   Crossroads   Farmland   Silk Road   Stables
52   Treasure Trove   Hinterlands   Prosperity   Bank   Monument   Royal Seal   Trade Route   Venture   Cache   Develop   Fool's Gold   Ill-Gotten Gains   Mandarin
61   Watery Graves   Dark Ages   Seaside   Count   Graverobber   Hermit   Scavenger   Urchin   Native Village   Pirate Ship   Salvager   Treasure Map   Treasury
63   Infestations   Dark Ages   Alchemy   Armory   Cultist   Feodum   Market Square   Rats   Wandering Minstrel   Apprentice   Scrying Pool   Transmute   Vineyard
64   Lamentations   Dark Ages   Alchemy   Beggar   Catacombs   Counterfeit   Forager   Ironmonger   Pillage   Apothecary   Golem   Herbalist   University
66   Honor Among Thieves   Dark Ages   Prosperity   Bandit Camp   Procession   Rebuild   Rogue   Squire   Forge   Hoard   Peddler   Quarry   Watchtower
71   Arts and Crafts   Guilds   Base   Stonemason   Advisor   Baker   Journeyman   Merchant Guild   Laboratory   Cellar   Workshop   Festival   Moneylender
73   Gilding the Lily   Guilds   Base   Plaza   Masterpiece   Candlestick Maker   Taxman   Herald   Library   Remodel   Adventurer   Market   Chancellor
77   Gentle Intro   Adventures   Adventures   Amulet   Distant Lands   Dungeon   Duplicate   Giant   Hireling   Port   Ranger   Ratcatcher   Treasure Trove   Scouting Party
78   Expert Intro   Adventures   Adventures   Caravan Guard   Coin of the Realm   Haunted Woods   Lost City   Magpie   Peasant   Raze   Swamp Hag   Transmogrify   Wine Merchant   Mission   Plan
97   Basic Intro   Empires   Empires   Castles   Chariot Race   City Quarter   Engineer   Farmers' Market   Forum   Legionary   Patrician/Emporium   Sacrifice   Villa   Wedding   Tower
98   Advanced Intro   Empires   Empires   Archive   Capital   Catapult/Rocks   Crown   Enchantress   Gladiator/Fortune   Groundskeeper   Royal Blacksmith   Settlers/Bustling Village   Temple   Arena   Triumphal Arch


This is the best solution so far in several respects. It is the first 16 set solution which uses every expansion at least twice. It is the first 16 set solution which only uses rulebook kingdoms (I'm surprised there even is one, and now I'm wondering if there are others - this would be a relatively quick subset to run the script on). It again uses Young Witch, so it accounts for 161 kingdom cards (plus 4 events and 3 landmarks). And because of those last two, it is has the highest possible percentage of non-Promo kingdom cards used (161/254).

All three small expansions appear paired with the same large set for both appearances - this isn't a good or bad, necessarily (my ideal solution would have more variety), but it has a certain elegance. Alchemy has the fewest cards (8), while Dark Ages has the most (22), which lines up with their actual card counts (thanks to a 6-4 split in both Dark Ages-Alchemy sets).

One lazy extension of this solution would be to just put together the leftovers for single-expansion kingdoms. There are 10 leftover cards for Base, Prosperity, and Adventures; there are only 9 for Intrigue (because of Wishing Well as Bane), but you could throw in outtake Envoy there. There are 10 leftover from Alchemy+Cornucopia+Guilds. Some of these may not be interesting, I haven't actually put together a list (other than Base; I find it interesting that the leftovers include all the "pillars" and no +Actions other than Throne Room). And if I went this route, I probably wouldn't use the Adventures leftovers like this, since it already has two single-expansion sets. Anyway, that would get you to 20 kingdoms without much additional effort.
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Re: Recommended Kingdoms
« Reply #14 on: July 08, 2016, 11:20:43 am »
0

Ran the script on just the rulebook kingdoms, the above was the only 16 set solution.

(No 3 single-expansion set solutions yet either, but that run hasn't finished yet.)
« Last Edit: July 08, 2016, 12:20:00 pm by mith »
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Re: Recommended Kingdoms
« Reply #15 on: July 08, 2016, 03:58:03 pm »
0

A new solution with only Donald-designed kingdoms:

7   Secret Schemes   Intrigue   Intrigue   Conspirator   Harem   Ironworks   Pawn   Saboteur   Shanty Town   Steward   Swindler   Trading Post   Tribute               
20   Chemistry Lesson   Alchemy   Base   Alchemist   Golem   Philosopher's Stone   University   Bureaucrat   Market   Moat   Remodel   Witch   Woodcutter               
DX16   GenCon 2011 Game 10   Alchemy   Intrigue   Courtyard   Duke   Great Hall   Minion   Nobles   Scout   Wishing Well   Herbalist   Transmute   Vineyard               
26   Big Actions   Prosperity   Prosperity   City   Expand   Grand Market   King's Court   Loan   Mint   Quarry   Rabble   Talisman   Vault               
DX19   GenCon 2011 Game 13   Prosperity   Seaside   Ghost Ship   Haven   Island   Lookout   Tactician   Bishop   Trade Route   Venture   Watchtower   Worker's Village               
DX6   Essen 2011 Game 6   Cornucopia   Base   Cellar   Feast   Laboratory   Mine   Workshop   Fairgrounds   Farming Village   Fortune Teller   Horn of Plenty   Menagerie               
39   Introduction   Hinterlands   Hinterlands   Cache   Crossroads   Develop   Haggler   Jack of all Trades   Margrave   Nomad Camp   Oasis   Spice Merchant   Stables               
48   Diplomacy   Hinterlands   Seaside   Ambassador   Bazaar   Caravan   Embargo   Smugglers   Embassy   Farmland   ill-Gotten Gains   Noble Brigand   Trader               
55   Grim Parade   Dark Ages   Dark Ages   Armory   Band of Misfits   Catacombs   Cultist   Forager   Fortress   Hunting Grounds   Knights   Market Square   Procession               
61   Watery Graves   Dark Ages   Seaside   Count   Graverobber   Hermit   Scavenger   Urchin   Native Village   Pirate Ship   Salvager   Treasure Map   Treasury               
68   To the Victor   Dark Ages   Cornucopia   Bandit Camp   Counterfeit   Death Cart   Marauder   Pillage   Sage   Harvest   Hunting Party   Remake   Tournament               
72   Clean Living   Guilds   Base   Butcher   Baker   Candlestick Maker   Doctor   Soothsayer   Militia   Thief   Moneylender   Gardens   Village               
77   Gentle Intro   Adventures   Adventures   Amulet   Distant Lands   Dungeon   Duplicate   Giant   Hireling   Port   Ranger   Ratcatcher   Treasure Trove      Scouting Party         
78   Expert Intro   Adventures   Adventures   Caravan Guard   Coin of the Realm   Haunted Woods   Lost City   Magpie   Peasant   Raze   Swamp Hag   Transmogrify   Wine Merchant      Mission   Plan      
97   Basic Intro   Empires   Empires   Castles   Chariot Race   City Quarter   Engineer   Farmers' Market   Forum   Legionary   Patrician/Emporium   Sacrifice   Villa      Wedding      Tower   
98   Advanced Intro   Empires   Empires   Archive   Capital   Catapult/Rocks   Crown   Enchantress   Gladiator/Fortune   Groundskeeper   Royal Blacksmith   Settlers/Bustling Village   Temple            Arena   Triumphal Arch


The only difference between this and the original 16-set solution is the replacement of the Isodom 3 set with GenCon 2011 Game 13. I kinda like that in this (and the first two 16-set solutions) Base is paired with all three small expansions.
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Re: Recommended Kingdoms
« Reply #16 on: July 11, 2016, 11:18:22 am »
0

That script finished running over the weekend - those are the only two 16-set solutions on the Donald-only data set.
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Re: Recommended Kingdoms
« Reply #17 on: July 13, 2016, 11:43:18 am »
0

No 1-2 single-expansion solutions yet either; it's looking increasingly likely that 4 is the best we can do by that metric.
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Re: Recommended Kingdoms
« Reply #18 on: September 26, 2016, 04:04:03 pm »
0

Planning to update this with the new 2nd Edition sets at some point. I haven't finished going through them all, but so far it looks like any of the sets involving a non-Base/Intrigue expansion are the same except for the cards which have been replaced. However, the Base only, Intrigue only, and Base/Intrigue sets are very different (except for First Game, which only had Woodcutter -> Merchant); some have the same name but different cards, some have new names.

Base:
First Game (Woodcutter -> Merchant)
Size Distortion (6 changes)
Big Money, Interaction, Village Square -> Deck Top, Sleight of Hand, Improvements, Silver & Gold

Intrigue:
Victory Dance (5 changes)
Best Wishes (5 changes)
Secret Schemes -> The Plot Thickens

Intrigue/Base:
Deconstruction (7 changes)
Underlings (4 changes)
Hand Madness -> Grand Scheme

Seaside/Base:
Reach for Tomorrow (Spy, Adventurer -> Artisan, Vassal)
Repetition (Chancellor -> Harbinger)
Give and Take (None)

Seaside/Intrigue:
(All New) A Star to Steer By, Shore Patrol, Bridge Crossing

Alchemy/Base:
Forbidden Arts (Thief -> Bandit)
Potion Mixers (Chancellor -> Poacher)
Chemistry Lesson (Woodcutter -> Vassal)

Alchemy/Intrigue:
Servants (Great Hall -> Mill)
Secret Research (None)
Pools, Tools, and Fools (Coppersmith -> Lurker)

Prosperity/Base:
Biggest Money (Adventurer, Spy -> Artisan, Harbinger)
The King's Army (Spy -> Merchant)
The Good Life (Chancellor -> Artisan)

Prosperity/Intrigue:
Paths to Victory (None)
All Along the Watchtower (Great Hall -> Mill)
Lucky Seven (Coppersmith, Tribute -> Lurker, Patrol)

Cornucopia/Base:
Bounty of the Hunt (None)
Bad Omens (Adventurer, Spy -> Merchant, Poacher)
The Jester's Workshop (Feast, Chancellor -> Artisan, Merchant)

Cornucopia/Intrigue:
Last Laughs (None)
The Spice of Life (Coppersmith, Great Hall, Tribute -> Courtier, Diplomat, Replace)
Small Victories (Great Hall -> Secret Passage)

Hinterlands/Base:
Highway Robbery (None)
Adventures Abroad (Adventurer, Chancellor -> Sentry, Vassal)

Hinterlands/Intrigue:
Money for Nothing (Coppersmith, Great Hall -> Patrol, Replace)
The Duke's Ball (None)

Dark Ages/Base:
High and Low (None)
Chivalry and Revelry (None)

Dark Ages/Intrigue:
Prophecy (Great Hall -> Secret Passage)
Invasion (Mining Village -> Diplomat)

Guilds/Base:
Arts and Crafts (None)
Clean Living (Thief -> Bandit)
Gilding the Lily (Adventurer, Chancellor -> Merchant, Sentry)

Guilds/Intrigue:
Name That Card (Tribute -> Replace)
Tricks of the Trade (Coppersmith, Great Hall -> Mill, Secret Passage)
Decisions, Decisions (None)

Adventures/Base:
Level Up (Spy -> Merchant)
Son of Size Distortion (Thief -> Bandit)

Adventures/Intrigue:
Royalty Factory (Secret Chamber -> Courtier)
Masters of Finance (None)

Empires/Base:
Everything in Moderation (None)
Silver Bullets (None)

Empires/Intrigue:
Delicious Torture (None)
Buddy System (None)
« Last Edit: September 28, 2016, 01:05:20 pm by mith »
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Re: Recommended Kingdoms
« Reply #19 on: September 26, 2016, 04:08:25 pm »
0

(The "best" solution under the 1st Edition sets is no longer valid; both The King's Army and Gilding the Lily now use Merchant. I'll be interested to see whether there is still a rulebook-only 16 set solution.)
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Re: Recommended Kingdoms
« Reply #20 on: September 27, 2016, 04:27:30 pm »
0

The first 15 set solution with the updated card list:

2   1.2   First Game   Base   Base   Cellar   Market   Merchant   Militia   Mine   Moat   Remodel   Smithy   Village   Workshop
5   8.2   Best Wishes   Intrigue   Intrigue   Baron   Conspirator   Courtyard   Diplomat   Duke   Secret Passage   Shanty Town   Torturer   Upgrade   Wishing Well
9   12   High Seas   Seaside   Seaside   Bazaar   Caravan   Embargo   Explorer   Haven   Island   Lookout   Pirate Ship   Smugglers   Wharf
24   25   Friendly Interactive   Prosperity   Prosperity   Bishop   City   Contraband   Forge   Hoard   Peddler   Royal Seal   Trade Route   Vault   Worker's Village
37   36   Last Laughs   Cornucopia   Intrigue   Farming Village   Harvest   Horse Traders   Hunting Party   Jester   Minion   Nobles   Pawn   Steward   Swindler
44   42   Gambits   Hinterlands   Hinterlands   Cartographer   Crossroads   Embassy   Inn   Jack of all Trades   Mandarin   Nomad Camp   Oasis   Oracle   Tunnel
71   64   Lamentations   Dark Ages   Alchemy   Beggar   Catacombs   Counterfeit   Forager   Ironmonger   Pillage   Apothecary   Golem   Herbalist   University
74   67   Dark Carnival   Dark Ages   Cornucopia   Band of Misfits   Cultist   Fortress   Hermit   Junk Dealer   Knights   Fairgrounds   Hamlet   Horn of Plenty   Menagerie
101   91   Traders and Raiders   Adventures   Hinterlands   Haunted Woods   Lost City   Page   Port   Wine Merchant   Develop   Farmland   Haggler   Spice Merchant   Trader   Raid
103   93   Cemetery Polka   Adventures   Dark Ages   Amulet   Caravan Guard   Hireling   Peasant   Relic   Graverobber   Marauder   Procession   Rogue   Wandering Minstrel   Alms
105   95   Spendthrift   Adventures   Guilds   Artificer   Gear   Magpie   Miser   Storyteller   Doctor   Masterpiece   Merchant Guild   Soothsayer   Stonemason   Lost Arts
106   96   Queen of Tan   Adventures   Guilds   Coin of the Realm   Duplicate   Guide   Ratcatcher   Royal Carriage   Advisor   Butcher   Candlestick Maker   Herald   Journeyman   Pathfinding   Save
107   97   Basic Intro   Empires   Empires   Castles   Chariot Race   City Quarter   Engineer   Farmers' Market   Forum   Legionary   Patrician/Emporium   Sacrifice   Villa   Wedding   Tower
108   98   Advanced Intro   Empires   Empires   Archive   Capital   Catapult/Rocks   Crown   Enchantress   Gladiator/Fortune   Groundskeeper   Royal Blacksmith   Settlers/Bustling Village   Temple   Arena   Triumphal Arch
160   DS14   2011 DS.com Game 9   Chapel   Fishing Village   Watchtower   Ironworks   Gardens   Bridge   Highway   Mountebank   Ill-Gotten Gains   Goons   
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Re: Recommended Kingdoms
« Reply #21 on: September 28, 2016, 12:31:11 pm »
0

Script ran overnight on only rulebook sets, and hasn't found a 16 set solution yet - pretty unlikely that it will at this point. After this run, I'm going to do it again but without disallowing the removed cards - curious whether the extra 14 cards will allow for a 17 set solution or not.
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Re: Recommended Kingdoms
« Reply #22 on: September 28, 2016, 01:09:28 pm »
+1

Finished going through the comparison between 1st and 2nd edition kingdoms, and there is one replacement of a non-removed card: The Dark Ages/Intrigue set Invasion replaces Mining Village with Diplomat.
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Re: Recommended Kingdoms
« Reply #23 on: September 28, 2016, 01:33:19 pm »
+1

Bandit is a clear Thief replacement, and serves that role in all the recommended sets where it appears. Feast is always replaced by Artisan (though it never occurs as the only replacement). Otherwise, the Base substitutions are all over the place:

Adventurer/Spy -> Artisan/Vassal
Adventurer/Chancellor -> Merchant/Sentry
Adventurer/Chancellor -> Sentry/Vassal
Adventurer/Spy -> Artisan/Harbinger
Adventurer/Spy -> Merchant/Poacher
Chancellor -> Artisan
Chancellor -> Harbinger
Chancellor -> Merchant* (with Feast -> Artisan)
Chancellor -> Poacher
Spy -> Merchant
Spy -> Merchant
Woodcutter -> Merchant
Woodcutter -> Sentry* (with Feast/Thief -> Artisan/Bandit)
Woodcutter -> Vassal

For Intrigue, Great Hall for Mill and Scout for Patrol would seem to be the most obvious replacements, but Scout only appears in the two same-name Intrigue-only sets (with Patrol appearing in one of those as a replacement), while Great Hall is replaced by Mill and Secret Passage twice each (as the only replacement in those games), and by neither in two of the four sets were it is not the only card replaced. Secret Chamber is only replaced once, but there is no obvious relationship between it and Courtier, its replacement.

Coppersmith -> Lurker
Coppersmith/Great Hall -> Mill/Secret Passage
Coppersmith/Great Hall -> Patrol/Replace
Coppersmith/Great Hall/Tribute -> Courtier/Diplomat/Replace
Coppersmith/Scout -> Diplomat/Secret Passage* (with other changes)
Coppersmith/Tribute -> Lurker/Patrol
Great Hall -> Mill
Great Hall -> Mill
Great Hall -> Secret Passage
Great Hall -> Secret Passage
Great Hall/Scout -> Courtier/Mill/Patrol/Replace* (with other changes)
Mining Village -> Diplomat
Secret Chamber -> Courtier
Tribute -> Replace

And then the two Base/Intrigue sets:

Spy/Thief/Saboteur/Secret Chamber -> Bandit/Diplomat/Lurker/Replace* (with other changes)
(None) -> Courtier/Sentry/Vassal* (with other changes)
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Re: Recommended Kingdoms
« Reply #24 on: November 06, 2018, 08:53:44 pm »
+1

New set, new recommended kingdoms... After forgetting to run this last year, I've updated my spreadsheet and script, and have a 17:

The King's Army   Prosperity   Base   Bureaucrat   Council Room   Merchant   Moat   Village   Expand   Goons   King's Court   Rabble   Vault         
Highway Robbery   Hinterlands   Base   Cellar   Library   Moneylender   Throne Room   Workshop   Highway   Inn   Margrave   Noble Brigand   Oasis         
Adventures Abroad   Hinterlands   Base   Festival   Laboratory   Remodel   Sentry   Vassal   Crossroads   Farmland   Fool's Gold   Oracle   Spice Merchant         
Money for Nothing   Hinterlands   Intrigue   Replace   Patrol   Pawn   Shanty Town   Torturer   Cache   Cartographer   Jack of all Trades   Silk Road   Tunnel         
Peasants   Dark Ages   Seaside   Death Cart   Feodum   Poor House   Urchin   Vagrant   Fishing Village   Haven   Island   Lookout   Warehouse         
Lamentations   Dark Ages   Alchemy   Beggar   Catacombs   Counterfeit   Forager   Ironmonger   Pillage   Apothecary   Golem   Herbalist   University         
Honor Among Thieves   Dark Ages   Prosperity   Bandit Camp   Procession   Rebuild   Rogue   Squire   Forge   Hoard   Peddler   Quarry   Watchtower         
Dark Carnival   Dark Ages   Guilds/Cornucopia   Band of Misfits   Cultist   Fortress   Hermit   Junk Dealer   Knights   Fairgrounds   Hamlet   Horn of Plenty   Menagerie         
Spendthrift   Adventures   Guilds/Cornucopia   Artificer   Gear   Magpie   Miser   Storyteller   Doctor   Masterpiece   Merchant Guild   Soothsayer   Stonemason      Lost Arts   
Queen of Tan   Adventures   Guilds/Cornucopia   Coin of the Realm   Duplicate   Guide   Ratcatcher   Royal Carriage   Advisor   Butcher   Candlestick Maker   Herald   Journeyman      Pathfinding   Save
Simple Plans   Empires   Hinterlands   Catapult/Rocks   Forum   Patrician/Emporium   Temple   Villa   Border Village   Develop   Haggler   Ill-Gotten Gains   Stables      Donate   Labyrinth
Shadowy Figures   Nocturne   Intrigue   Cobbler   Conclave   Faithful Hound   Shepherd   Tragic Hero   Bridge   Conspirator   Mill   Nobles   Secret Passage         
Impending Doom   Nocturne   Intrigue   Leprechaun   Monastery   Necromancer   Tormentor   Werewolf   Courtier   Lurker   Mining Village   Swindler   Upgrade         
Nightmare Fuel   Nocturne   Alchemy   Bard   Blessed Village   Cemetery   Sacred Grove   Skulk   Tracker   Alchemist   Apprentice   Transmute   Vineyard         
Treasures of the Night   Nocturne   Prosperity   Crypt   Guardian   Night Watchman   Raider   Vampire   Bank   Contraband   Loan   Royal Seal   Venture         
Digging for Treasure   Renaissance   Seaside   Border Guard   Flag Bearer   Inventor   Sculptor   Swashbuckler   Caravan   Native Village   Salvager   Tactician   Treasure Map      Crop Rotation   Silos
Progress   Renaissance   Adventures   Experiment   Improve   Recruiter   Seer   Silk Merchant   Hireling   Ranger   Raze   Swamp Hag   Transmogrify      Piazza   Training


This solution only has Empires once, so I really wouldn't be surprised if there's an 18, even with the limited multi-set-kingdoms-only data set I'm running it on right now. Still pretty early in this run of the script.

As usual, my script really likes the Adventures/Guilds sets...
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mith

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Re: Recommended Kingdoms
« Reply #25 on: November 07, 2018, 05:38:10 pm »
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Almost immediately found an 18 when I added in the single-set kingdoms (and over a dozen more very similar ones):

Shipwrecks   Seaside   Seaside   Ghost Ship   Merchant Ship   Native Village   Navigator   Pearl Diver   Salvager   Sea Hag   Smugglers   Treasury   Warehouse         
Servants   Alchemy   Intrigue   Conspirator   Mill   Minion   Pawn   Steward   Golem   Possession   Scrying Pool   Transmute   Vineyard         
Big Actions   Prosperity   Prosperity   City   Expand   Grand Market   King's Court   Loan   Mint   Quarry   Rabble   Talisman   Vault         
Bounty of the Hunt   Guilds/Cornucopia   Base   Cellar   Festival   Militia   Moneylender   Smithy   Harvest   Horn of Plenty   Hunting Party   Menagerie   Tournament         
The Jester's Workshop   Guilds/Cornucopia   Base   Artisan   Laboratory   Market   Remodel   Workshop   Fairgrounds   Farming Village   Horse Traders   Jester   Young Witch   Merchant      
Gambits   Hinterlands   Hinterlands   Cartographer   Crossroads   Embassy   Inn   Jack of all Trades   Mandarin   Nomad Camp   Oasis   Oracle   Tunnel         
Grim Parade   Dark Ages   Dark Ages   Armory   Band of Misfits   Catacombs   Cultist   Forager   Fortress   Hunting Grounds   Knights   Market Square   Procession         
Chess With Death   Dark Ages   Dark Ages   Bandit Camp   Graverobber   Junk Dealer   Mystic   Pillage   Rats   Sage   Scavenger   Storeroom   Vagrant         
Invasion   Dark Ages   Intrigue   Diplomat   Harem   Swindler   Torturer   Upgrade   Beggar   Marauder   Rogue   Squire   Urchin         
Traders and Raiders   Adventures   Hinterlands   Haunted Woods   Lost City   Page   Port   Wine Merchant   Develop   Farmland   Haggler   Spice Merchant   Trader      Raid   
Spendthrift   Adventures   Guilds/Cornucopia   Artificer   Gear   Magpie   Miser   Storyteller   Doctor   Masterpiece   Merchant Guild   Soothsayer   Stonemason      Lost Arts   
Queen of Tan   Adventures   Guilds/Cornucopia   Coin of the Realm   Duplicate   Guide   Ratcatcher   Royal Carriage   Advisor   Butcher   Candlestick Maker   Herald   Journeyman      Pathfinding   Save
Basic Intro   Empires   Empires   Castles   Chariot Race   City Quarter   Engineer   Farmers' Market   Forum   Legionary   Patrician/Emporium   Sacrifice   Villa      Wedding   Tower
Advanced Intro   Empires   Empires   Archive   Capital   Catapult/Rocks   Crown   Enchantress   Gladiator/Fortune   Groundskeeper   Royal Blacksmith   Settlers/Bustling Village   Temple      Arena   Triumphal Arch
Dusk   Nocturne   Nocturne   Blessed Village   Cobbler   Den of Sin   Faithful Hound   Fool   Monastery   Night Watchman   Shepherd   Tormentor   Tragic Hero         
Midnight   Nocturne   Nocturne   Conclave   Crypt   Cursed Village   Devil's Workshop   Druid   Exorcist   Leprechaun   Pooka   Raider   Secret Cave         
Overture   Renaissance   Renaissance   Acting Troupe   Experiment   Flag Bearer   Hideout   Improve   Inventor   Lackeys   Old Witch   Seer   Treasurer      Fair   
Prelude   Renaissance   Renaissance   Border Guard   Cargo Ship   Ducat   Mountain Village   Priest   Recruiter   Sculptor   Silk Merchant   Swashbuckler   Villain      Citadel   Star Chart


That includes 11 single set kingdoms, with the recent trend of having a pair with no overlap for each new expansion.

And it analyzing this, I just realized that my data set is missing the new Guilds/Cornucopia kingdoms. At a minimum, this gets us to 19 by replacing the three Adventures sets with the Adventures single sets and the Guilds/Cornucopia "single sets". Might put 20 in reach, too.
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GendoIkari

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Re: Recommended Kingdoms
« Reply #26 on: November 07, 2018, 05:48:13 pm »
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Oh wow, this thread does not get along well with Autolink. About 700 images loaded; 320 MB transferred. I hope this isn't an issue...
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Re: Recommended Kingdoms
« Reply #27 on: November 07, 2018, 06:11:41 pm »
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Was about to post the first 19 it found, and it got a 20 as I was writing it up:

Underlings   Intrigue   Base   Baron   Cellar   Festival   Library   Masquerade   Minion   Nobles   Pawn   Steward   Witch         
Gambits   Hinterlands   Hinterlands   Cartographer   Crossroads   Embassy   Inn   Jack of all Trades   Mandarin   Nomad Camp   Oasis   Oracle   Tunnel         
Instant Gratification   Hinterlands   Prosperity   Bishop   Expand   Hoard   Mint   Watchtower   Farmland   Haggler   Ill-Gotten Gains   Noble Brigand   Trader         
Grim Parade   Dark Ages   Dark Ages   Armory   Band of Misfits   Catacombs   Cultist   Forager   Fortress   Hunting Grounds   Knights   Market Square   Procession         
Chess With Death   Dark Ages   Dark Ages   Bandit Camp   Graverobber   Junk Dealer   Mystic   Pillage   Rats   Sage   Scavenger   Storeroom   Vagrant         
Invasion   Dark Ages   Intrigue   Diplomat   Harem   Swindler   Torturer   Upgrade   Beggar   Marauder   Rogue   Squire   Urchin         
Gentle Intro   Adventures   Adventures   Amulet   Distant Lands   Dungeon   Duplicate   Giant   Hireling   Port   Ranger   Ratcatcher   Treasure Trove      Scouting Party   
Expert Intro   Adventures   Adventures   Caravan Guard   Coin of the Realm   Haunted Woods   Lost City   Magpie   Peasant   Raze   Swamp Hag   Transmogrify   Wine Merchant      Mission   Plan
King of the Sea   Empires   Seaside   Archive   Farmers' Market   Overlord   Temple   Wild Hunt   Explorer   Haven   Native Village   Pirate Ship   Sea Hag      Delve   Fountain
Big Time   Empires   Prosperity   Capital   Gladiator/Fortune   Patrician/Emporium   Royal Blacksmith   Villa   Bank   Forge   Grand Market   Loan   Royal Seal      Dominate   Obelisk
Silver & Gold   Base   Base   Bandit   Bureaucrat   Chapel   Harbinger   Laboratory   Merchant   Mine   Moneylender   Throne Room   Vassal         
Grand Scheme   Intrigue   Base   Bridge   Mill   Mining Village   Patrol   Shanty Town   Artisan   Council Room   Market   Militia   Workshop         
Dusk   Nocturne   Nocturne   Blessed Village   Cobbler   Den of Sin   Faithful Hound   Fool   Monastery   Night Watchman   Shepherd   Tormentor   Tragic Hero         
Midnight   Nocturne   Nocturne   Conclave   Crypt   Cursed Village   Devil's Workshop   Druid   Exorcist   Leprechaun   Pooka   Raider   Secret Cave         
Collector   Guilds/Cornucopia   Seaside   Fairgrounds   Farming Village   Fortune Teller   Harvest   Hunting Party   Embargo   Fishing Village   Merchant Ship   Navigator   Smugglers         
Collider   Guilds/Cornucopia   Seaside   Menagerie   Horn of Plenty   Horse Traders   Jester   Tournament   Lighthouse   Salvager   Treasure Map   Treasury   Warehouse         
Illuminati   Guilds/Cornucopia   Alchemy   Butcher   Herald   Masterpiece   Merchant Guild   Stonemason   Apprentice   Golem   Philosopher's Stone   Scrying Pool   University         
Tonics & Toxins   Guilds/Cornucopia   Alchemy   Baker   Candlestick Maker   Doctor   Plaza   Soothsayer   Alchemist   Familiar   Herbalist   Transmute   Vineyard         
Overture   Renaissance   Renaissance   Acting Troupe   Experiment   Flag Bearer   Hideout   Improve   Inventor   Lackeys   Old Witch   Seer   Treasurer      Fair   
Prelude   Renaissance   Renaissance   Border Guard   Cargo Ship   Ducat   Mountain Village   Priest   Recruiter   Sculptor   Silk Merchant   Swashbuckler   Villain      Citadel   Star Chart


Makes good use of the new Guilds/Cornucopia sets, with Seaside paired with Cornucopia twice and Alchemy paired with Guilds twice. "Only" 10 single set kingdoms.

[edit]

Down to 9 single set kingdoms:

Underlings   Intrigue   Base   Courtier   Diplomat   Minion   Nobles   Pawn   Cellar   Festival   Library   Sentry   Vassal         
Big Actions   Prosperity   Prosperity   City   Expand   Grand Market   King's Court   Loan   Mint   Quarry   Rabble   Talisman   Vault         
The Duke's Ball   Hinterlands   Intrigue   Conspirator   Duke   Harem   Masquerade   Upgrade   Duchess   Haggler   Inn   Noble Brigand   Scheme         
Travelers   Hinterlands   Seaside   Cutpurse   Island   Lookout   Merchant Ship   Warehouse   Cartographer   Crossroads   Farmland   Silk Road   Stables         
Treasure Trove   Hinterlands   Prosperity   Bank   Monument   Royal Seal   Trade Route   Venture   Cache   Develop   Fool's Gold   Ill-Gotten Gains   Mandarin         
Grim Parade   Dark Ages   Dark Ages   Armory   Band of Misfits   Catacombs   Cultist   Forager   Fortress   Hunting Grounds   Knights   Market Square   Procession         
Watery Graves   Dark Ages   Seaside   Count   Graverobber   Hermit   Scavenger   Urchin   Native Village   Pirate Ship   Salvager   Treasure Map   Treasury         
To the Victor   Dark Ages   Guilds/Cornucopia   Bandit Camp   Counterfeit   Death Cart   Marauder   Pillage   Sage   Harvest   Hunting Party   Remake   Tournament         
Expert Intro   Adventures   Adventures   Caravan Guard   Coin of the Realm   Haunted Woods   Lost City   Magpie   Peasant   Raze   Swamp Hag   Transmogrify   Wine Merchant      Mission   Plan
Son of Size Distortion   Adventures   Base   Bandit   Bureaucrat   Gardens   Moneylender   Witch   Amulet   Duplicate   Giant   Messenger   Treasure Trove      Bonfire   Raid
The Hero's Return   Adventures   Guilds/Cornucopia   Artificer   Miser   Page   Ranger   Relic   Fairgrounds   Farming Village   Horse Traders   Jester   Menagerie      Travelling Fair   
Basic Intro   Empires   Empires   Castles   Chariot Race   City Quarter   Engineer   Farmers' Market   Forum   Legionary   Patrician/Emporium   Sacrifice   Villa      Wedding   Tower
Advanced Intro   Empires   Empires   Archive   Capital   Catapult/Rocks   Crown   Enchantress   Gladiator/Fortune   Groundskeeper   Royal Blacksmith   Settlers/Bustling Village   Temple      Arena   Triumphal Arch
Grand Scheme   Intrigue   Base   Bridge   Mill   Mining Village   Patrol   Shanty Town   Artisan   Council Room   Market   Militia   Workshop         
Dusk   Nocturne   Nocturne   Blessed Village   Cobbler   Den of Sin   Faithful Hound   Fool   Monastery   Night Watchman   Shepherd   Tormentor   Tragic Hero         
Midnight   Nocturne   Nocturne   Conclave   Crypt   Cursed Village   Devil's Workshop   Druid   Exorcist   Leprechaun   Pooka   Raider   Secret Cave         
Illuminati   Guilds/Cornucopia   Alchemy   Butcher   Herald   Masterpiece   Merchant Guild   Stonemason   Apprentice   Golem   Philosopher's Stone   Scrying Pool   University         
Tonics & Toxins   Guilds/Cornucopia   Alchemy   Baker   Candlestick Maker   Doctor   Plaza   Soothsayer   Alchemist   Familiar   Herbalist   Transmute   Vineyard         
Overture   Renaissance   Renaissance   Acting Troupe   Experiment   Flag Bearer   Hideout   Improve   Inventor   Lackeys   Old Witch   Seer   Treasurer      Fair   
Prelude   Renaissance   Renaissance   Border Guard   Cargo Ship   Ducat   Mountain Village   Priest   Recruiter   Sculptor   Silk Merchant   Swashbuckler   Villain      Citadel   Star Chart


This also has an extra pair of card-shaped things, and is the only solution with 12, so far. Other solutions have an extra kingdom card, though (using Wine & Dine, which has a Herbalist bane).

Interestingly, all of the solutions so far include a pair of the new Guilds/Cornucopia + Alchemy sets; 6 of the 9 use the Guilds ones, while the other 3 use the Cornucopia ones. The Cornucopia pair includes every Alchemy card except for Possession.

Script is nowhere near done; I have the kingdoms ordered by a least-overlap metric, and the first thread is still checking combinations with kingdoms 1, 2, 7, 8 (Dark Ages, Nocturne, Nocturne, and Dark Ages single set kingdoms); 3-6 are all Nocturne kingdoms which overlap with 2. The second thread skipped set 1, and is still also on 2, 7, 8, though it is now on its second fourth set (20 - Big Actions - and now 23). The third thread started with 3, 4, and hasn't found a 20-kingdom solution yet.; at the rate it is going, it may finish checking the rest of the combinations before the first thread exhausts set 1; starting with two multi-set kingdoms seems to be messier in terms of eliminating other kingdoms more quickly, so fewer combinations to check.
« Last Edit: November 09, 2018, 11:15:48 am by mith »
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