So we've got over 100 maps x 2 -8 players x standard/terminator/assassin/doubles/triples/quads x escalating/fixed spoils/no spoils x etc etc.
Has anyone worked out how many possible variants of games there are now that can be set up? must be in the hundreds of thousands...!
Re: Maximum permutations???
Posted: Sat Jan 03, 2009 4:03 pm
by The Neon Peon
203,112 is all maps (counting the fact that AoR maps and Feudal have limits on player) on all numbers of players, all modes of gameplay, all card amounts, all reinforcement rules, fog, and speed.
Re: Maximum permutations???
Posted: Sat Jan 03, 2009 4:04 pm
by BaldAdonis
The Neon Peon wrote:203,112 is all maps (counting the fact that AoR maps and Feudal have limits on player) on all numbers of players, all modes of gameplay, all card amounts, all reinforcement rules, fog, and speed.
Are you sure?
Re: Maximum permutations???
Posted: Sat Jan 03, 2009 4:06 pm
by e_i_pi
BaldAdonis wrote:
The Neon Peon wrote:203,112 is all maps (counting the fact that AoR maps and Feudal have limits on player) on all numbers of players, all modes of gameplay, all card amounts, all reinforcement rules, fog, and speed.
Are you sure?
Yeah, but only about 12 of those settings are worth playing
I know, I accounted in team games and maps with less players.
[ 7 x 3 (singleplayer) + 3 (doubles) + 2 (trips and quads) ] x 2 (play order) x 3 (cards) x 3 (forts) x 2 (fog) x 2 (speed) = 1872 for any normal map X 111 (assuming all maps are normal = 207,792 (But I did the calculation accounting for the odd maps.
Re: Maximum permutations???
Posted: Sat Jan 03, 2009 6:21 pm
by Robinette
This was from a prior thread... not long ago... based on 111 maps (which is still current)
Robinette wrote:
Natewolfman wrote:to play every map on every possible combination of games/settings, you will have to play 191,808 games
Well whatta ya know... I get the same number... 191,808
I really thought it would be 207,792... but turns out you can't play 2 player terminator or 2 player assassin.......................
this is based on the 111 maps (at this moment), and each additional map will add 1,728 games (with the settings available at this moment)
Feel free to double check these numbers... i did this on the fly...
But it was pointed out that the correct answer is a few less, something to do with odd games like AoR with less Options
Re: Maximum permutations???
Posted: Sat Jan 03, 2009 6:25 pm
by The Neon Peon
Ooops. No 2 player terminator or assassin. Let me recalculate.
Re: Maximum permutations???
Posted: Sat Jan 03, 2009 6:35 pm
by The Neon Peon
Correct Calculation:
[ 7 (standard) + 6 x 2 (terms and assassins) + 3 (doubles) + 2 (trips and quads) ] x 2 (play order) x 3 (cards) x 3 (forts) x 2 (fog) x 2 (speed) = 1728 for any normal map X 107 = 184,896
AoRs I, II, Fedual: [ 5 (standard) + 4 x 2 (terms and assassins) + 2 (doubles) + 1 (trips) ] x 2 (play order) x 3 (cards) x 3 (forts) x 2 (fog) x 2 (speed) = 1152 for the maps X 3 = 3456
AoR 3: [ 6 (standard) + 5 x 2 (terms and assassins) + 2 (doubles) + 1 (trips) ] x 2 (play order) x 3 (cards) x 3 (forts) x 2 (fog) x 2 (speed) = 1368
184,896 + 3456 + 1368 = 189,720
Re: Maximum permutations???
Posted: Sat Jan 03, 2009 6:46 pm
by Timminz
The Neon Peon wrote:I agree completely with BaldAdonis
Re: Maximum permutations???
Posted: Sat Jan 03, 2009 6:49 pm
by The Neon Peon
Timminz wrote:
The Neon Peon wrote:I agree completely with BaldAdonis
I did not even notice. Good catch.
Re: Maximum permutations???
Posted: Sat Jan 03, 2009 6:57 pm
by Robinette
The Neon Peon wrote:Correct Calculation:
[ 7 (standard) + 6 x 2 (terms and assassins) + 3 (doubles) + 2 (trips and quads) ] x 2 (play order) x 3 (cards) x 3 (forts) x 2 (fog) x 2 (speed) = 1728 for any normal map X 107 = 184,896
AoRs I, II, Fedual: [ 5 (standard) + 4 x 2 (terms and assassins) + 2 (doubles) + 1 (trips) ] x 2 (play order) x 3 (cards) x 3 (forts) x 2 (fog) x 2 (speed) = 1152 for the maps X 3 = 3456
AoR 3: [ 6 (standard) + 5 x 2 (terms and assassins) + 2 (doubles) + 1 (trips) ] x 2 (play order) x 3 (cards) x 3 (forts) x 2 (fog) x 2 (speed) = 1368
184,896 + 3456 + 1368 = 189,720
well i don't know what all those formulas mean...
but using my abacus, i get exactly the same number... 189,720
And every new 'normal' map will add 1,728... So we need 6 more maps to break 200,000
Re: Maximum permutations???
Posted: Sun Jan 04, 2009 12:10 pm
by sully800
Or one new option and then the possibilities go through the roof!
Re: Maximum permutations???
Posted: Sun Jan 04, 2009 4:00 pm
by lancehoch
sully800 wrote:Or one new option and then the possibilities go through the roof!
You mean an option like infected neutrals which will double the whole thing?
Re: Maximum permutations???
Posted: Sun Jan 04, 2009 4:00 pm
by The Neon Peon
lancehoch wrote:
sully800 wrote:Or one new option and then the possibilities go through the roof!
You mean an option like infected neutrals which will double the whole thing?
Yep.
Re: Maximum permutations???
Posted: Sun Jan 04, 2009 4:57 pm
by Gypsys Kiss
Are you differentiating between 4, 6 and 8 player doubles, or counting them as the same?
Re: Maximum permutations???
Posted: Sun Jan 04, 2009 4:58 pm
by The Neon Peon
Gypsys Kiss wrote:Are you differentiating between 4, 6 and 8 player doubles, or counting them as the same?
Different, of course.
Re: Maximum permutations???
Posted: Sun Jan 04, 2009 4:59 pm
by Gypsys Kiss
The Neon Peon wrote:
Gypsys Kiss wrote:Are you differentiating between 4, 6 and 8 player doubles, or counting them as the same?
Different, of course.
Just checking
Re: Maximum permutations???
Posted: Sun Jan 04, 2009 10:12 pm
by Georgerx7di
Nice work neon, looks right to me.
Re: Maximum permutations???
Posted: Sun Jan 04, 2009 11:07 pm
by TaCktiX
And in the vein of "applications of this" is my crazy tournament Every Single Setting: Classic (see sig). I don't do Freestyle, it's only on Classic, and there is no 2 player, but I did the math and the total number of played games per person would be 450, with the number of games I have to create assuming no mistakes at 1,692.
Re: Maximum permutations???
Posted: Sun Jan 04, 2009 11:17 pm
by BaldAdonis
New game: figure out which games have not been made yet (there are a lot) and play them.
Re: Maximum permutations???
Posted: Mon Jan 05, 2009 6:16 pm
by The Neon Peon
BaldAdonis wrote:New game: figure out which games have not been made yet (there are a lot) and play them.
I know of 3 already (read this post 10 seconds ago)
Posted: Sat Jan 03, 2009 3:55 pm
I did not even notice. Good catch. 
