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Mathematics, 01.11.2019 05:31 justinerodriguz2878

Generating random permutations a permutation is a bijection Οƒ : {} β†’ {}. for every n there are n! different permutations. in this task we shall investigate algorithms that given n output a random permutation Ο„ : {} β†’ {}. the goal is for the algorithm on the one hand to spend as little time (in terms of big-oh) as possible, while on the other hand ensure that for every permutation Οƒ it holds that pr[Ο„ = Οƒ] = 1 n! we will assume that the algorithm is given access to a function rand(i) that outputs a random number from {1, . . , i} in constant time.

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Generating random permutations a permutation is a bijection Οƒ : {} β†’ {}. for every n there are n!...
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