vb.net code to generate barcode It prints the same values as shown in Table 9.2. in Java

Make GTIN - 13 in Java It prints the same values as shown in Table 9.2.

It prints the same values as shown in Table 9.2.
Scan GS1 - 13 In Java
Using Barcode Control SDK for Java Control to generate, create, read, scan barcode image in Java applications.
EAN13 Creation In Java
Using Barcode creation for Java Control to generate, create EAN-13 Supplement 5 image in Java applications.
TRACING A RECURSIVE CALL Hand tracing the execution of a method usually helps clarify it. EXAMPLE 9.7 Tracing the Recursive Factorial Function
Read GS1 - 13 In Java
Using Barcode recognizer for Java Control to read, scan read, scan image in Java applications.
Print Barcode In Java
Using Barcode maker for Java Control to generate, create barcode image in Java applications.
Here is a trace of the call f(5) to the recursive factorial function defined in Example 9.2:
Bar Code Decoder In Java
Using Barcode scanner for Java Control to read, scan read, scan image in Java applications.
Creating European Article Number 13 In Visual C#.NET
Using Barcode encoder for .NET Control to generate, create GS1 - 13 image in .NET applications.
Figure 9.1 Tracing the recursive factorial function
EAN / UCC - 13 Encoder In .NET
Using Barcode creator for ASP.NET Control to generate, create GTIN - 13 image in ASP.NET applications.
Create European Article Number 13 In .NET Framework
Using Barcode creation for Visual Studio .NET Control to generate, create European Article Number 13 image in .NET framework applications.
The call originates in the main() function, passing 5 to the f() function. There, the value of the parameter n is 5, so it calls f(4), passing 4 to the f() function. There the value of the parameter n is 4, so it calls f(3), passing 3 to the f() function. This process continues (recursively) until the call f(1) is made from within the call f(2). There, the value of the parameter n is 1, so it returns 1 immediately, without making any more calls. Then the call f(2) returns 2*1 = 2 to the call f(3). Then the call f(3) returns 3*2 = 6 to the call f(4). Then the call f(4) returns 4*6 = 24 to the call f(5). Finally, the call f(5) returns the value 120 to main().
EAN-13 Printer In VB.NET
Using Barcode encoder for VS .NET Control to generate, create EAN-13 Supplement 5 image in .NET framework applications.
Matrix 2D Barcode Drawer In Java
Using Barcode generator for Java Control to generate, create 2D Barcode image in Java applications.
The trace in Example 9.7 shows that the call f(n) to the recursive implementation of the factorial function will generate n 1 recursive calls. This is clearly very inefficient compared to the iterative implementation shown in Example 9.3. EXAMPLE 9.8 Tracing the Recursive Fibonacci Function
Encode Barcode In Java
Using Barcode printer for Java Control to generate, create barcode image in Java applications.
GTIN - 128 Maker In Java
Using Barcode generation for Java Control to generate, create UCC - 12 image in Java applications.
The Fibonacci function (Example 9.6) is more heavily recursive than the factorial function (Example 9.2) because it includes two recursive calls. The consequences can be seen from the trace of the call
Leitcode Generation In Java
Using Barcode generator for Java Control to generate, create Leitcode image in Java applications.
Creating UCC-128 In Visual C#.NET
Using Barcode generation for .NET Control to generate, create EAN / UCC - 13 image in .NET framework applications.
RECURSION
Drawing Code 39 Full ASCII In .NET Framework
Using Barcode printer for .NET Control to generate, create Code-39 image in VS .NET applications.
Drawing USS Code 128 In Objective-C
Using Barcode creation for iPhone Control to generate, create Code 128C image in iPhone applications.
[CHAP. 9
UCC.EAN - 128 Generator In Objective-C
Using Barcode maker for iPad Control to generate, create EAN128 image in iPad applications.
Linear 1D Barcode Generator In VS .NET
Using Barcode generator for ASP.NET Control to generate, create 1D Barcode image in ASP.NET applications.
fib(5), shown in Figure 9.2 on page 168. The call originates in the main() function, passing 5 to the fib() function. There, the value of the parameter n is 5, so it calls fib(4) and fib(3), passing 4 and 3,
Scan Code 128B In VB.NET
Using Barcode reader for Visual Studio .NET Control to read, scan read, scan image in .NET applications.
Bar Code Decoder In VS .NET
Using Barcode scanner for Visual Studio .NET Control to read, scan read, scan image in Visual Studio .NET applications.
respectively. Each of these calls then makes two more recursive calls, continuing down to the basis calls f(1) and f(0). Each of these basis calls returns 1. The recursive calls then return the sum of the two values returned to them, ultimately resulting in the value 8 being returned to main().
Figure 9.2 Tracing the recursive Fibonacci function
THE RECURSIVE BINARY SEARCH The nonrecursive binary search algorithm is given on page 31. It uses the divide-and-conquer strategy, each time splitting the sequence in half and continuing the search on one half. This is naturally recursive. EXAMPLE 9.9 The Recursive Binary Search
Here is the recursive binary search algorithm: (Precondition: s = {s0, s1, . . ., sn 1} is a sorted sequence of n ordinal values of the same type as x.) (Postcondition: either the index i is returned where si = x, or 1 is returned.) 1. If the sequence is empty, return 1. 2. Let si be the middle element of the sequence. 3. If si = x, return its index i . 4. If si < x, apply the algorithm on the subsequence that lies above si . 5. Apply the algorithm on the subsequence of s that lies below si . It is implemented in Example 9.10.
The recursive binary search runs in O(lgn) time. The running time is proportional to the number of recursive calls made. Each call processes a subsequence that is half as long as the previous one. So the number of recursive calls is the same as the number of times that n can be divided in two, namely lg n.
CHAP. 9]
RECURSION
EXAMPLE 9.10 Testing the Recursive Binary Search
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39
public class TestBinarySearch { public static void main(String[] args) { int[] a = {22, 33, 44, 55, 66, 77, 88, 99}; print(a); System.out.println("search(a, 44): " + search(a, 44)); System.out.println("search(a, 50): " + search(a, 50)); System.out.println("search(a, 77): " + search(a, 77)); System.out.println("search(a, 100): " + search(a, 100)); } public static void print(int[] a) { System.out.printf("{%d", a[0]); for (int i = 1; i < a.length; i++) { System.out.printf(", %d", a[i]); } System.out.println("}"); } public static int search(int[] a, int x) { return search(a, 0, a.length-1, x); } public static int search(int[] a, int lo, int hi, int x) { // PRECONDITION: a[0] <= a[1] <= ... <= a[a.length-1]; // POSTCONDITIONS: returns i; // if i >= 0, then a[i] == x; otherwise i == -1; if (lo > hi) { return -1; // basis } int i = (lo + hi)/2; if (a[i] == x) { return i; } else if (a[i] < x) { return search(a, i+1, hi, x); } else { return search(a, lo, i-1, x); } }
The output is:
{22, 33, 44, 55, 66, 77, 88, 99} search(a, 44): 2 search(a, 50): -1 search(a, 77): 5 search(a, 100): -1 The search() method returns the index of the target x: search(a, 44) returns 2 because a[2] = 44 and search(a, 77) returns 5 because a[5] = 77. The method returns 1 when the target is not in the array: search(a, 50) returns 1 because 50 is not in the array.
BINOMIAL COEFFICIENTS The binomial coefficients are the coefficients that result from the expansion of a binomial expression of the form (x + 1)n. For example, (x + 1)6 = x 6 + 6x5 + 15x4 + 20x3 + 15x2 + 6x + 1 The seven coefficients generated here are 1, 6, 15, 20, 15, 6, and 1.
Copyright © OnBarcode.com . All rights reserved.