HeapSort Algorithm in .NET Generation PDF-417 2d barcode in .NET HeapSort Algorithm

How to generate, print barcode using .NET, Java sdk library control with example project source code free download:
HeapSort Algorithm using barcode development for visual .net control to generate, create barcode pdf417 image in visual .net applications. Web application framework Removing a node from a heap a .NET pdf417 lways means removing the node with highest value. This is easy to do because the maximum value is always in the root node.

The problem is that once the root node is removed, the heap is incomplete and must be reorganized. To make the heap complete again we use the following algorithm: 1. Remove the node at the root.

2. Move the node in the last position to the root. 3.

Trickle the last node down until it is below a larger node and above a smaller node. Applying this algorithm continually removes the data from the heap in sorted order. Here is the code for the Remove and TrickleDown methods:.

Public Function Remove() As N ode Dim root As Node = heapArray(0) currSize -= 1 heapArray(0) = heapArray(currSize) ShiftDown(0) Return root End Function Public Sub ShiftDown(ByVal index As Integer) Dim largerChild As Integer Dim top As Node = heapArray(index) While (index < (currSize \ 2)) Dim leftChild As Integer = 2 * index + 1 Dim rightChild As Integer = leftChild + 1 If (rightChild <currSize And heapArray(leftChild)._ data < heapArray(rightChild).data) Then largerChild = rightChild Else largerChild = leftChild End If If (top.

data >= heapArray(largerChild).data) Then Exit While End If heapArray(index) = heapArray(largerChild). ADVANCED SORTING ALGORITHMS index = largerChild End While heapArray(index) = top End Sub We now have all we need to pe .NET PDF417 rform a heap sort, so let s look at a program that builds a heap and then sorts it:. Sub Main() Const SIZE As Inte ger = 9 Dim aHeap As New Heap(SIZE) Dim sortedHeap(SIZE) As Node Dim index As Integer For index = 0 To SIZE - 1 Dim aNode As New Node(Int(100 * Rnd() + 1)) aHeap.InsertAt(index, aNode) aHeap.incSize() Next Console.

Write("Random: ") aHeap.showArray() Console.WriteLine() Console.

Write("Heap: ") For index = SIZE \ 2 - 1 To 0 Step -1 aHeap.ShiftDown(index) Next aHeap.showArray() For index = SIZE - 1 To 0 Step -1 Dim bigNode As Node = aHeap.

Remove() aHeap.InsertAt(index, bigNode) Next Console.WriteLine() Console.

Write("Sorted: ") aHeap.showArray() Console.Read() End Sub.

The rst For loop begins the .NET pdf417 2d barcode process of building the heap by inserting random numbers into the heap. The second loop heapi es the heap,.

QuickSort Algorithm and the third For loop then u pdf417 for .NET ses the Remove method and the TrickleDown method to rebuild the heap in sorted order. Here s the output from the program:.

HeapSort is the second fastes t of the advanced sorting algorithms we examine in this chapter. Only the QuickSort algorithm, which we discuss in the next section, is faster..

QUICKSORT ALGORITHM QuickSort has a reputation, d eservedly earned, as the fastest algorithm of the advanced algorithms we re discussing in this chapter. This is true only for large, mostly unsorted data sets. If the data set is small (100 elements or less), or if the data are relatively sorted, you should use one of the fundamental algorithms discussed in 4.

. Description of the QuickSort Algorithm To understand how the QuickSo rt algorithm works, imagine you are a teacher and you have to alphabetize a stack of student papers. You will pick a letter from the middle of the alphabet, such as M, putting student papers whose name starts with A through M in one stack and those whose names start with N through Z in another stack. Then you split the A M stack into two stacks and the N Z stack into two stacks using the same technique.

Then you do the same thing again until you have a set of small stacks (A C, D F . . .

, X Z) of two or three elements that sort easily. Once the small stacks , are sorted, you simply put all the stacks together and you have a set of sorted papers. As you should have noticed, this process is recursive, since each stack is divided into smaller and smaller stacks.

Once a stack is broken down into one element, that stack cannot be further divided and the recursion stops..
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