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Find!! # of comparison and exchange will be represented by Big-O notation!

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Presentation on theme: "Find!! # of comparison and exchange will be represented by Big-O notation!"— Presentation transcript:

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4 Find!!

5 # of comparison and exchange will be represented by Big-O notation!

6 Length of list : n j-th pass of comparison : from index i = 0 to I = n-1-j where n is the length of the list. Compares adjacent items and exchanges those that are Out of order. After each pass, we can get the next largest value. How to exchange two items -> swap function! void swap( int& val1, int& val2 ) { int temp = val1; val1 = val2; val2 = temp; } void swap( int& val1, int& val2 ) { val1 = val1 ^ val2; val2 = val1 ^ val2; val1 = val1 ^ val2; } General swapping XOR swapping

7 54321 when sort a collection of items to replace ascending order, worst case is placement of item that is ordered by descending order

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10 passcomparisonexchange 0N-11 1N-21 2N-31 3N-41 ⋮⋮⋮ N-111

11 passcomparisonexchange 000 111 222 333 ⋮⋮⋮ nnn

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15 First phase. Split list into two sublists recursively Second phase. merge two sub lists into one sorted list recursively

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17 Sub list1 1265493 Sub list2 2031445677 Merge 12026314454567793 i = 0 ; j = 0 ; While( i <= sublist1.length && j <= sublist2.length ) if( sublist1[i] <= sublist2[j] copy sublist1[i] to Merge[k]; increase i; else copy sublist2[j] to Merge[k]; increase j; increase k; end

18 How is the complexity of Merge sort ? – Consider total # of comparison when merging occurs

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