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3-Way Partitioning

3-Way Partitioning. 3-way partitioning. Choose partitioning element. Scan from left  element. Scan from right for  element. Exchange. Move to left or right end if equal. Repeat until pointers cross. A. B. X. W. P. P. V. P. D. P. C. Y. Z. P. p. q. partition element.

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3-Way Partitioning

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  1. 3-Way Partitioning • 3-way partitioning. • Choose partitioning element. • Scan from left  element. • Scan from right for  element. • Exchange. • Move to left or right end if equal. • Repeat until pointers cross. A B X W P P V P D P C Y Z P p q partition element unpartitioned partitioned

  2. 3-Way Partitioning • 3-way partitioning. • Choose partitioning element. • Scan from left  element. • Scan from right for  element. • Exchange. • Move to left or right end if equal. • Repeat until pointers cross. A B X W P P V P D P C Y Z P p q

  3. 3-Way Partitioning • 3-way partitioning. • Choose partitioning element. • Scan from left  element. • Scan from right for  element. • Exchange. • Move to left or right end if equal. • Repeat until pointers cross. A B X W P P V P D P C Y Z P p q

  4. swap me 3-Way Partitioning • 3-way partitioning. • Choose partitioning element. • Scan from left  element. • Scan from right for  element. • Exchange. • Move to left or right end if equal. • Repeat until pointers cross. A B X W P P V P D P C Y Z P p q

  5. swap me 3-Way Partitioning • 3-way partitioning. • Choose partitioning element. • Scan from left  element. • Scan from right for  element. • Exchange. • Move to left or right end if equal. • Repeat until pointers cross. A B X W P P V P D P C Y Z P p q

  6. swap me 3-Way Partitioning • 3-way partitioning. • Choose partitioning element. • Scan from left  element. • Scan from right for  element. • Exchange. • Move to left or right end if equal. • Repeat until pointers cross. A B X W P P V P D P C Y Z P p q

  7. swap me swap me 3-Way Partitioning • 3-way partitioning. • Choose partitioning element. • Scan from left  element. • Scan from right for  element. • Exchange. • Move to left or right end if equal. • Repeat until pointers cross. A B X W P P V P D P C Y Z P p q

  8. 3-Way Partitioning • 3-way partitioning. • Choose partitioning element. • Scan from left  element. • Scan from right for  element. • Exchange. • Move to left or right end if equal. • Repeat until pointers cross. A B C W P P V P D P X Y Z P p q

  9. swap me 3-Way Partitioning • 3-way partitioning. • Choose partitioning element. • Scan from left  element. • Scan from right for  element. • Exchange. • Move to left or right end if equal. • Repeat until pointers cross. A B C W P P V P D P X Y Z P p q

  10. swap me swap me 3-Way Partitioning • 3-way partitioning. • Choose partitioning element. • Scan from left  element. • Scan from right for  element. • Exchange. • Move to left or right end if equal. • Repeat until pointers cross. A B C W P P V P D P X Y Z P p q

  11. swap left 3-Way Partitioning • 3-way partitioning. • Choose partitioning element. • Scan from left  element. • Scan from right for  element. • Exchange. • Move to left or right end if equal. • Repeat until pointers cross. A B C P P P V P D W X Y Z P p q

  12. 3-Way Partitioning • 3-way partitioning. • Choose partitioning element. • Scan from left  element. • Scan from right for  element. • Exchange. • Move to left or right end if equal. • Repeat until pointers cross. P B C A P P V P D W X Y Z P p q

  13. swap me 3-Way Partitioning • 3-way partitioning. • Choose partitioning element. • Scan from left  element. • Scan from right for  element. • Exchange. • Move to left or right end if equal. • Repeat until pointers cross. P B C A P P V P D W X Y Z P p q

  14. swap me swap me 3-Way Partitioning • 3-way partitioning. • Choose partitioning element. • Scan from left  element. • Scan from right for  element. • Exchange. • Move to left or right end if equal. • Repeat until pointers cross. P B C A P P V P D W X Y Z P p q

  15. swap right 3-Way Partitioning • 3-way partitioning. • Choose partitioning element. • Scan from left  element. • Scan from right for  element. • Exchange. • Move to left or right end if equal. • Repeat until pointers cross. P B C A D P V P P W X Y Z P p q

  16. 3-Way Partitioning • 3-way partitioning. • Choose partitioning element. • Scan from left  element. • Scan from right for  element. • Exchange. • Move to left or right end if equal. • Repeat until pointers cross. P B C A D P V P Z W X Y P P p q

  17. swap me 3-Way Partitioning • 3-way partitioning. • Choose partitioning element. • Scan from left  element. • Scan from right for  element. • Exchange. • Move to left or right end if equal. • Repeat until pointers cross. P B C A D P V P Z W X Y P P p q

  18. swap me swap me 3-Way Partitioning • 3-way partitioning. • Choose partitioning element. • Scan from left  element. • Scan from right for  element. • Exchange. • Move to left or right end if equal. • Repeat until pointers cross. P B C A D P V P Z W X Y P P p q

  19. swap left 3-Way Partitioning • 3-way partitioning. • Choose partitioning element. • Scan from left  element. • Scan from right for  element. • Exchange. • Move to left or right end if equal. • Repeat until pointers cross. P B C A D P V P Z W X Y P P p q

  20. swap right 3-Way Partitioning • 3-way partitioning. • Choose partitioning element. • Scan from left  element. • Scan from right for  element. • Exchange. • Move to left or right end if equal. • Repeat until pointers cross. P P C A D B V P Z W X Y P P p q

  21. 3-Way Partitioning • 3-way partitioning. • Choose partitioning element. • Scan from left  element. • Scan from right for  element. • Exchange. • Move to left or right end if equal. • Repeat until pointers cross. P P C A D B V Y Z W X P P P p q

  22. swap me 3-Way Partitioning • 3-way partitioning. • Choose partitioning element. • Scan from left  element. • Scan from right for  element. • Exchange. • Move to left or right end if equal. • Repeat until pointers cross. P P C A D B V Y Z W X P P P p q

  23. 3-Way Partitioning • 3-way partitioning. • Choose partitioning element. • Scan from left  element. • Scan from right for  element. • Exchange. • Move to left or right end if equal. • Repeat until pointers cross. P P C A D B V Y Z W X P P P p q pointers cross

  24. swap me swap me 3-Way Partitioning • 3-way partitioning. • Swap elements on left with elements in middle. • Swap elements on right with elements in middle. P P C A D B V Y Z W X P P P p q

  25. swap me swap me 3-Way Partitioning • 3-way partitioning. • Swap elements on left with elements in middle. • Swap elements on right with elements in middle. B P C A D P V Y Z W X P P P p q

  26. 3-Way Partitioning • 3-way partitioning. • Swap elements on left with elements in middle. • Swap elements on right with elements in middle. B D C A P P V Y Z W X P P P p q

  27. swap me swap me 3-Way Partitioning • 3-way partitioning. • Swap elements on left with elements in middle. • Swap elements on right with elements in middle. B D C A P P V Y Z W X P P P p q

  28. swap me swap me 3-Way Partitioning • 3-way partitioning. • Swap elements on left with elements in middle. • Swap elements on right with elements in middle. B D C A P P P Y Z W X P P V p q

  29. swap me swap me 3-Way Partitioning • 3-way partitioning. • Swap elements on left with elements in middle. • Swap elements on right with elements in middle. B D C A P P P P Z W X P Y V p q

  30. 3-Way Partitioning • 3-way partitioning. • Swap elements on left with elements in middle. • Swap elements on right with elements in middle. B D C A P P P P P W X Z Y V p q 3-way partitioned!

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