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A decision tree has an expected depth of at least $\log n!$
I am looking at the proof of the following theorem and I have some questions.
The theorem is the following:
On the assumption that all permutations of a sequence of $n$ elements are equally ...
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The decision tree has height at least $\log n!$
The proof of the theorem
Any decision tree that sorts $n$ distinct elements has height at least $\log n!$
is the following:
Since the result of sorting $n$ elements can be any one of the $n!$ ...