Finding the order of a set's elements
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Maciej Stachowski
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Published on 2013-11-02T21:23:02Z
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2013/11/02
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algorithms
A little rephrased, in the form of a game, real-life problem:
Suppose there is a set of elements {1, 2, ..., n}. Player A has chosen a single permutation of this set. Player B wants to find out the order of the elements by asking questions of form "Is X earlier in the permutation than Y?", where X and Y are elements of the set.
Assuming B wants to minimize the amount of questions, how many times would he have to ask, and what would be the algorithm?
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