CC2203-Les06Sort-for-viewing

CC2203-Les06Sort-for-viewing - 6-1/40Lesson 6:...

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Unformatted text preview: 6-1/40Lesson 6: SortinglAfter completing this lesson, you should be able to use the following:–Insertion sort–Bubble sort–Selection sort–Merge sort–Quick sort6-2/40SortinglRearrange a[0], a[1], …, a[n-1] into ascending order. When done, a[0] <= a[1] <= … <= a[n-1]l8, 6, 9, 4, 3 => 3, 4, 6, 8, 96-3/40Sort MethodslInsertion SortlBubble SortlSelection SortlHeap Sort (Covered later in lesson 13)lMerge SortlQuick Sort6-4/40Insert An ElementlGiven a sorted list/sequence, insert a new elementlGiven 3, 6, 9, 14lInsert 5lResult 3, 5, 6, 9, 146-5/40Insert an Elementl3, 6, 9, 14 insert 5lCompare new element (5) and last one (14)lShift 14 right to get 3, 6, 9, , 14lShift 9 right to get 3, 6, , 9, 14lShift 6 right to get 3, , 6, 9, 14lInsert 5 to get 3, 5, 6, 9, 146-6/40Insert An Element// insert t into a[0:i-1]int j;for (j = i; j > 0 && t < a[j-1]; j--)a[j] = a[j-1];a[j] = t;demo: javac applications/Insert.javajava applications.Insert6-7/40Insertion SortlStart with a sequence of size 1lRepeatedly insert remaining elements6-8/40Insertion SortlSort 7, 3, 5, 6, 1lStart with 7 and insert 3 => 3, 7lInsert 5 => 3, 5, 7lInsert 6 => 3, 5, 6, 7lInsert 1 => 1, 3, 5, 6, 76-9/40Insertion Sortfor (int i = 1; i < a.length; i++){// insert a[i] into a[0:i-1]// code to insert comes here}6-10/40Insertion Sortfor (int i = 1; i < a.length; i++){// insert a[i] into a[0:i-1]int t = a[i];int j;for (j = i; j > 0 && t < a[j-1]; j--)a[j] = a[j-1];a[j] = t;}demo: javac applications/InsertionSort1.javajava applications.InsertionSort16-11/40Bubble Sort1.In an array aof size n, if a[i-1] > a[i], swap a[i-1] with a[i] for i=1, 2, 3, …n-1. This is called a Bubbling Pass2.After each bubbling pass, the largest element moves to the right-most position3.Then, perform bubbling pass for the remaining n-1 elements, a[0] …a[n-2], and obtain the largest at a[n-2]4.And so on until performing bubbling pass for the remaining 2 elements and obtaining the largest at a[1]6-12/40Bubble SortlSort 6, 5, 8, 4, 3, 1l6 > 5, swap 6 and 5 => 5,6, 8, 4, 3, 1l6 < 8, no swap => 5, 6, 8, 4, 3, 1l8 > 4, swap 8 and 4 => 5, 6, 4, 8, 3, 1l8 > 3, swap 8 and 3 => 5, 6, 4, 3, 8, 1l8 > 1, swap 8 and 1 => 5, 6, 4, 3, 1, 8lAfter the 1stpass, the largest element 8 moves to the right-most positionFirst Bubbling Pass6-13/40Bubble SortlSort the remaining 5, 6, 4, 3, 1l5 < 6, no swap => 5, 6, 4, 3, 1l6 > 4, swap 6 and 4 => 5, 4, 6, 3, 1l6 > 3, swap 6 and 3 => 5, 4, 3, 6, 1l6 > 1, swap 6 and 1 => 5, 4, 3, 1, 6lAfter the 2ndpass, the largest element 6 moves to the right-most positionSecond Bubbling Pass6-14/40Bubble SortlAfter the 3rdpass, the largest element 5 moves to the right-most position, and the result is: 4, 3, 1, 5lAfter the 4thpass, the result is: 3, 1, 4lAfter the 5thpass, the result is: 1, 3...
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This note was uploaded on 08/18/2011 for the course COMP 3868 taught by Professor Keithchan during the Summer '97 term at Hong Kong Polytechnic University.

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CC2203-Les06Sort-for-viewing - 6-1/40Lesson 6:...

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