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doc:math - JoomLeague

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doc:math [2011/02/07 02:57]
comraden [Count of trees]
doc:math [2012/12/01 14:00] (current)
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 Max depth (level) of tree was arbitrary set to 6.\\ Max depth (level) of tree was arbitrary set to 6.\\
 This lead us to number of trees could be used in tournament (joomleague) :\\ This lead us to number of trees could be used in tournament (joomleague) :\\
-==== t(6) = 2,1 * 10^11 = 210066380001 ​==== +==== t(6) = 2,1 * 10^11 = 210066388901 ​==== 
 +=====Why depth 6?===== 
 +Choosing depth 6 as a max level in joomleague mean:\\ 
 +**Maximum number of teams participated in tournament are 64.**\\ 
 +Adding at least 1 team causes incrased depth to value 7 and number of possible brackets to:\\ 
 +t(7) = 4,41 * 10^22 = 44127887000000000000001\\ 
 +So, maybe in next release... :-)
 =====Selection problem===== =====Selection problem=====
 So, joomleague could (automaticaly) generate those terrible number of tree brackets.\\ So, joomleague could (automaticaly) generate those terrible number of tree brackets.\\
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 (still 9 teams) (still 9 teams)
 {{:​doc:​dump104.png|}} {{:​doc:​dump104.png|}}
-=====Solution===== +=====Global ​Solution===== 
-Algorithm for selecting one of 210066380001 ​brackets:\\+Algorithm for selecting one of 210066388901 ​brackets:\\
 1. Determine depth (level) of Your bracket.\\ 1. Determine depth (level) of Your bracket.\\
 (theoretical options are: 0, 1, 2, 3, 4, 5, 6, but make sense only one of: **2, 3, 4, 5, 6** )\\ (theoretical options are: 0, 1, 2, 3, 4, 5, 6, but make sense only one of: **2, 3, 4, 5, 6** )\\
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 {{:​doc:​dump103a.png|}}\\ {{:​doc:​dump103a.png|}}\\
 {{:​doc:​dump104a.png|}}\\ {{:​doc:​dump104a.png|}}\\
-2(soon)+[[doc:​howto_draw|Detiled instructions]] but with another tree ...

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