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the algorithmic problem of ordering a set of elements with respect to some ordering relation.

2 votes
1 answer
544 views

Sort algorithm input probabilities

Suppose that there is an algorithm which sorts a sequence of $n$ elements $$a_1, a_2, ..., a_n$$ Each of the $a_i$ is chosen with probability $1/k$ from a set of $k$ distinct integer numbers. Is i …
wh1t3cat1k's user avatar
5 votes
2 answers
2k views

Probability that a uniformly random sequence is already sorted

Now I tried tackling this question from different perspectives (and already asked a couple of questions here and there), but perhaps only now can I formulate it well and ask you (since I have no good …
wh1t3cat1k's user avatar