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Some Applications in Algorithmics

In: Probabilistic and Statistical Methods in Computer Science

Author

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  • Jean-François Mari

    (LORIA and Université Nancy 2)

  • René Schott

    (Université Henri Poincaré-Nancy 1)

Abstract

Quicksort is a fast sorting algorithm, widely used for internal sorting. The basic idea is the choice of a partitioning element K. For example, let us consider the integer sequence [Régnier, 1989]: 45, 677, 98, 43, 42, 41, 60, 130, 32, 67 and choose K = 67 as the partitioning element. Scanning the left sublist from left to right, one exchanges any key greater than K with a key of the right sublist, scanned from right to left. This builds a list where K has its final position, all the keys to its left (resp. to its right) being smaller (resp. larger) than K.The intermediate stages are: 45 32 677 67 45 32 60 98 130 677 67 45 32 60 43 42 41 98 130 677 67 45 32 60 43 42 41 98 130 677 67

Suggested Citation

  • Jean-François Mari & René Schott, 2001. "Some Applications in Algorithmics," Springer Books, in: Probabilistic and Statistical Methods in Computer Science, chapter 0, pages 57-151, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4757-6280-8_3
    DOI: 10.1007/978-1-4757-6280-8_3
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