3-Way Partitioning Algorithm, Slides of Data Representation and Algorithm Design

A step-by-step explanation of the 3-way partitioning algorithm, which is a method used for partitioning an array or a list into three sub-lists. The algorithm chooses a partitioning element, scans from the left and right sides of the list for elements less than and greater than the partitioning element respectively, and then exchanges the positions of the elements. The process is repeated until the pointers cross.

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2011/2012

Uploaded on 07/15/2012

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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
partitioned
partition element unpartitioned
p q
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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 partitioned partition element unpartitioned p q docsity.com

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 docsity.com

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 swap me docsity.com

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 swap me docsity.com

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 swap me swap me docsity.com

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 docsity.com

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 swap me swap me docsity.com

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 swap left docsity.com

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 swap me docsity.com

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 swap me swap me docsity.com

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 docsity.com

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 swap me docsity.com

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 swap left docsity.com

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 q swap right p docsity.com