Editing Sprouts (game) (section)

===Misère version===
The computation history of the misère version of Sprouts is very similar to that of the normal version, with the same people involved. However, the misère version is more difficult to compute, and progress has been significantly slower.

In 1990, Applegate, Jacobson and Sleator reached up to nine spots. Based on their results, they conjectured that the outcome follows a regular pattern of period five. However, this conjecture was invalidated in 2007 when Josh Jordan and Roman Khorkov extended the misère analysis up to 12 spots: the 12-spot misère game is a win, and not the conjectured loss. The same team reached up to 16 spots in 2009.<ref>{{Cite web|title=A New Verified Misere Outcome|url=http://www.wgosa.org/article2009001.htm|access-date=2023-02-12|website=www.wgosa.org}}</ref> The same year, Julien Lemoine and Simon Viennot reached 17 spots with complicated algorithms.<ref>{{cite arXiv|first1=Lemoine|last1=Julien|first2= Viennot|last2=Simon|title=Analysis of misere Sprouts game with reduced canonical trees|year=2009|eprint=0908.4407 |class=math.CO}}</ref> They were able to extend their analysis up to 20 points in 2011.<ref name="sproutsWiki" />

The results for misère play are now conjectured to follow a pattern of length six with some exceptional values: the first player wins in misère Sprouts when the remainder ([[modulo operation|mod]] 6) is zero, four, or five, except that the first player wins the one-spot game and loses the four-spot game. The table below shows the pattern, with the two irregular values in bold.

{| border="1" cellspacing="0"
|-
|&thinsp;'''Spots'''
|&thinsp;0
|&thinsp;1
|&thinsp;2
|&thinsp;3
|&thinsp;4
|&thinsp;5
|&thinsp;6
|&thinsp;7
|&thinsp;8
|&thinsp;9
|&thinsp;10
|&thinsp;11
|&thinsp;12
|&thinsp;13
|&thinsp;14
|&thinsp;15
|&thinsp;...
|-
|&thinsp;'''Misère Outcome'''&thinsp;
|&thinsp;Win&thinsp;
|&thinsp;'''Win'''&thinsp;
|&thinsp;Loss&thinsp;
|&thinsp;Loss&thinsp;
|&thinsp;'''Loss'''&thinsp;
|&thinsp;Win&thinsp;
|&thinsp;Win&thinsp;
|&thinsp;Loss&thinsp;
|&thinsp;Loss&thinsp;
|&thinsp;Loss&thinsp;
|&thinsp;Win&thinsp;
|&thinsp;Win&thinsp;
|&thinsp;Win&thinsp;
|&thinsp;Loss&thinsp;
|&thinsp;Loss&thinsp;
|&thinsp;Loss&thinsp;
|&thinsp;...&thinsp;
|}