An Introduction to Randomized Algorithms
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چکیده
In this section, we present the classic quick sort algorithm and compute the expected running time of the algorithm. We assume that the elements of the set are all distinct. Below is the randomized quick sort algorithm. Algorithm RandQuickSort(S) Choose a pivot element xi u.a.r from S = {x1, x2, · · · , xn} Split the set S into two subsets S1 = {xj |xj < xi} and S2 = {xj |xj > xi} by comparing each xj with the chosen xi Recurse on sets S1 and S2 Output the sorted set S1 then xi and then sorted S2. end Algorithm
منابع مشابه
An introduction to randomized algorithms
CA 94720, USA; and Karp, R.M., An introduction to randomized algorithms, Discrete Applied Mathematics 34 (1991)
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