Sorting1.4

# Sorting1.4 - Merge Sort 88 52 14 31 25 98 30 23 62 79 Get...

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Last Updated: 4/1/10 11:16 AM CSE 2011 Prof. J. Elder - 21 - Merge Sort 88 14 98 25 62 52 79 30 23 31 Split Set into Two (no real work) 25,31,52,88,98 Get one friend to sort the first half. 14,23,30,62,79 Get one friend to sort the second half.

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Last Updated: 4/1/10 11:16 AM CSE 2011 Prof. J. Elder - 22 - Merge Sort Merge two sorted lists into one 25,31,52,88,98 14,23,30,62,79 14,23,25,30,31,52,62,79,88,98
Last Updated: 4/1/10 11:16 AM CSE 2011 Prof. J. Elder - 23 - Merge-Sort ± Merge-sort on an input sequence S with n elements consists of three steps: ² Divide : partition S into two sequences S 1 and S 2 of about n / 2 elements each ² Recur : recursively sort S 1 and S 2 ² Conquer : merge S 1 and S 2 into a unique sorted sequence Algorithm mergeSort ( S ) Input sequence S with n elements Output sequence S sorted if S.size () > 1 ( S 1 , S 2 ) ³ split ( S , n /2) mergeSort ( S 1 ) mergeSort ( S 2 ) merge ( S 1 , S 2, S )

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Last Updated: 4/1/10 11:16 AM CSE 2011 Prof. J. Elder - 24 - Merging Two Sorted Sequences ± The conquer step of merge-sort consists of merging two sorted sequences
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