 Home
 Products
 Integration
 Tutorial
 Barcode FAQ
 Purchase
 Company
vb.net code to generate barcode SORTING in Java
SORTING European Article Number 13 Recognizer In Java Using Barcode Control SDK for Java Control to generate, create, read, scan barcode image in Java applications. Making EAN13 In Java Using Barcode encoder for Java Control to generate, create EAN13 image in Java applications. [CHAP. 14
Reading EAN / UCC  13 In Java Using Barcode decoder for Java Control to read, scan read, scan image in Java applications. Make Barcode In Java Using Barcode maker for Java Control to generate, create bar code image in Java applications. 14.14 14.15 14.16 14.17 14.18 14.19 Reading Bar Code In Java Using Barcode decoder for Java Control to read, scan read, scan image in Java applications. EAN13 Printer In Visual C#.NET Using Barcode encoder for VS .NET Control to generate, create EAN13 image in VS .NET applications. The quick sort is best for sorting large arrays of primitive types. The selection sort can be seen as a sortonoutput process: Insert the elements into an array as they are given, and then repeatedly select out the next largest element. The insertion sort can be seen as a sortoninput process: Repeatedly insert each element into its correct ordered position in an array, and then remove them in their array order. So the selection sort inserts the elements into the array in O(n) time and removes them in O(n 2 ), while the insertion sort inserts the elements into the array in O(n2) time and removes them in O(n). Both result in an O(n2) algorithm. The heap sort can be seen as a partialsortoninputandpartialsortonoutput process: Insert the elements into an array maintaining the (partially sorted) heap property, and then repeatedly select the first (which is the smallest) element and restore the heap property. Both the insertion process and the removal process have the same O(n lgn) running time, resulting in a total O(n lgn) running time. The Java API uses the merge sort to implement its Arrays.sort() methods for arrays of objects, and it uses the quick sort to implement its Arrays.sort() methods for arrays of primitive types. The shell sort, quick sort, and heap sort are unstable. The merge sort, radix sort, and bucket sort require extra array storage. The bubble sort, selection sort, insertion sort, merge sort, and quick sort work as well on external files of records. The shell sort, merge sort, quick sort, and bucket sort all would run significantly faster on a parallel computer. Matching the algorithms with their graphical output is shown in Figure 14.8. Print EAN13 In VS .NET Using Barcode generation for ASP.NET Control to generate, create EAN13 Supplement 5 image in ASP.NET applications. Generate European Article Number 13 In .NET Using Barcode drawer for VS .NET Control to generate, create EAN / UCC  13 image in .NET framework applications. Figure 14.8 Sorting algorithms in motion
UPC  13 Encoder In Visual Basic .NET Using Barcode generation for .NET Control to generate, create European Article Number 13 image in VS .NET applications. Barcode Drawer In Java Using Barcode drawer for Java Control to generate, create bar code image in Java applications. Solutions to Problems
Painting UCC.EAN  128 In Java Using Barcode creator for Java Control to generate, create EAN128 image in Java applications. Barcode Creator In Java Using Barcode printer for Java Control to generate, create barcode image in Java applications. 14.1 The O(n2) algorithm should take: a. 12.4 milliseconds (4 times as long) to run on the 400element array. b. 124 seconds (40,000 times as long) to run on the 40,000element array. That s about 2 minutes. This answer can be computed algebraically as follows. The running time t is proportional to n2, so there is some constant c for which t = c n2. If it takes t = 3.1 milliseconds to sort n = 200 elements, then (3.1 milliseconds) = c (200 elements)2, so c = (3.1 milliseconds)/(200 elements)2 = 0.0000775 milliseconds/element2. Then, for n = 40,000, t = c n2 = (0.0000775 milliseconds/ element2) (40,000 elements)2 = 124,000 milliseconds = 124 seconds. The O(n lg n) algorithm should take 1.24 seconds (400 times as long) to run on the 40,000element array. This answer can be computed algebraically. The running time t is proportional to nlgn, so there EAN8 Generation In Java Using Barcode creation for Java Control to generate, create EAN / UCC  8 image in Java applications. Make Data Matrix ECC200 In None Using Barcode creator for Font Control to generate, create ECC200 image in Font applications. CHAP. 14] Draw Barcode In None Using Barcode creator for Office Excel Control to generate, create bar code image in Microsoft Excel applications. EAN128 Drawer In None Using Barcode generator for Software Control to generate, create GS1 128 image in Software applications. SORTING
Barcode Encoder In Visual Basic .NET Using Barcode encoder for .NET framework Control to generate, create barcode image in .NET applications. Printing Linear 1D Barcode In VS .NET Using Barcode maker for Visual Studio .NET Control to generate, create Linear 1D Barcode image in .NET framework applications. is some constant c for which t = c nlgn. If it takes t = 3.1 milliseconds to sort n = 200 elements, then (3.1) = c (200) lg(200), so c = (3.1 milliseconds)/(200 lg(200)) = 0.0155/lg(200). Then, for n = 40,000, t = c n lg n = (0.0155/lg(200))(40,000 lg(40,000)) = 620 (lg(40,000)/lg(200)). Now 40,000 = 2002, so lg(40,000) = lg(2002) = 2 lg 200. Thus, lg(40,000)/lg(200) = 2, so t = 620 2 milliseconds = 1240 milliseconds = 1.24 s. 14.3 14.4 The insertion sort has its worst performance on an array that is sorted in reverse order, because each new element inserted requires all of the elements on its left to be shifted one position to the right. The bubble sort, as implemented in Algorithm 14.1 on page 257, is insensitive to input. That means that it will execute the same number n(n 1)/2 of comparisons regardless of the original order of the elements in the array. So it doesn t matter whether the array is already sorted or whether it is sorted in reverse order; it is still very slow. The selection sort is also insensitive to input: It takes about the same amount of time to sort arrays of the same size, regardless of their initial order. The merge sort is also insensitive to input: It takes about the same amount of time to sort arrays of the same size, regardless of their initial order. The quick sort is quite sensitive to input. As implemented in Algorithm 14.6 on page 263, the quick sort will degrade into an O(n2) algorithm in the special cases where the array is initially sorted in either order. That is because the pivot element will always be an extreme value within its subarray, so the partitioning splits the subarray very unevenly, thereby requiring n steps instead of lg n. The heap sort is a little sensitive to input, but not much. The heapify() function may require fewer than lg n iterations. The bubble sort is slower than the selection sort, and the insertion sort (in most cases) is a little faster. The merge sort is slower than the heap sort, and the quick sort (in most cases) is faster. a. Trace of the quick sort: Painting Bar Code In Java Using Barcode generation for Android Control to generate, create barcode image in Android applications. Reading Barcode In Java Using Barcode recognizer for Java Control to read, scan read, scan image in Java applications. a[0] 44 22 a[1] 88 33 a[2] 55 44 a[3] 99 77 55 a[4] 66 a[5] 33 55 77 a[6] 22 88 a[7] 88 a[8] 77 99 14.5 14.6 14.7 14.8 14.9 14.10 14.11 b. Trace of the heap sort: a[0] 44 99 77 88 44 88 22 77 33 66 22 55 33 44 33 22 a[1] 88 99 44 88 a[2] 55 a[3] 99 88 a[4] 66 a[5] 33 a[6] 22 a[7] 88 a[8] 77 44 99 77 88 77 66 44 22 44 88 22 77 33 66 55 22 44 33 c. Trace of the bubble sort: a[0] 44 a[1] 88 55 a[2] 55 88

