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problem:the_game_of_scoring_misere [2013/09/14 10:34] bmwoodruff |
problem:the_game_of_scoring_misere [2013/09/14 10:45] (current) bmwoodruff |
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====== The Game Of Scoring Misere ====== | ====== The Game Of Scoring Misere ====== | ||
==== Problem ==== | ==== Problem ==== | ||
- | A [[http:// | + | A [[http:// |
- | - For which values of $n$ does the first player have a winning strategy when playing misere, provided each player must take 1, 2, or 3 objects.? | + | - For which values of $n$ does the first player have a winning strategy when playing misere, provided each player must take 1, 2, or 3 objects? |
- | - For which values of $n$ does the first player have a winning strategy when playing misere, provided each player must take 1, 2, 3, or 4 objects.? | + | - For which values of $n$ does the first player have a winning strategy when playing misere, provided each player must take 1, 2, 3, or 4 objects? |
- If instead a player must take between 1 and $k$ objects, conjecture the values of $n$ for which the first player has a winning strategy when playing misere. | - If instead a player must take between 1 and $k$ objects, conjecture the values of $n$ for which the first player has a winning strategy when playing misere. | ||
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==== External links ==== | ==== External links ==== | ||
- | * [[wp> | + | * [[wp> |
{{tag> | {{tag> |