Starting Out with Java: From Control Structures through Data Structures (4th Edition) (What's New in Computer Science)
Starting Out with Java: From Control Structures through Data Structures (4th Edition) (What's New in Computer Science)
4th Edition
ISBN: 9780134787961
Author: Tony Gaddis, Godfrey Muganda
Publisher: PEARSON
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Chapter 16, Problem 9PC

Efficient Computation of Fibonacci Numbers

Modify the application in Code Listing 16-18 by replacing the recursive method for computing Fibonacci terms with an iterative version and try to make it as efficient as possible. Modify the application so it outputs the elapsed time in both seconds and milliseconds. Finally, run the application and generate output showing the rime required to compute the terms of the sequence in positions 45, 46, 47, 48, 49, and 50. Comment on the results.

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Do not use static variables to implement recursive methods.  USING JAVA USING: // P4         public static int min(int [] a, int begin, int end) {         } Implement a recursive method min that accepts an array and returns the minimum element in the array. The recursive step should divide the array into two halves and find the minimum in each half.  Demonstrate the output of min on the array int [] a = { 2, 3, 5, 7, 11, 13, 17, 19, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97,  23, 29, 31, 37, 41, 43 }
Do not use static variables to implement recursive methods.  USING JAVA: // P6         public static int countSubstrings(String s1, String s2) {         } Write a recursive method countSubstrings that counts the number of non-overlapping occurrences of a string s2 in a string s1. Use the method indexOf() from String class.   As an example, with s1=”abab” and s2=”ab”, countSubstrings returns 2. With s1=”aaabbaa” and s2=”aa”, countSubstrings returns 2. With s1=”aabbaa” and s2=”AA”, countSubStrings returns 0. Show the output on the following strings: s1 = “Java is a programming language originally developed by James Gosling at Sun Microsystems  and released in 1995 as a core component of Sun Microsystems Java platform. The language derives much of its syntax from C and C++ but has a simpler object model and fewer low-level facilities. Java applications are typically compiled to bytecode (class file) that can run on any Java Virtual Machine (JVM) regardless of computer architecture.…
1. Write a recursive function that returns the nth Fibonacci number from the Fibonacci series. int fib(int n); 2. Write a recursive function to find the factorial of a number. int factorial(int n); 3. Write a recursive function that returns the sum of the digits of an integer. int sumOfDigits(int x); 4. Write a recursive function that find the minimum element in an array of integers. int findMin(int a[], int size); 5. Write a recursive function that converts a decimal number to binary number. int DecToBin(int dec); 6. Write a recursive function that find the sum of the following series. 1 + 1/2 + 1/4 + 1/8 + ... + 1/2n

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Starting Out with Java: From Control Structures through Data Structures (4th Edition) (What's New in Computer Science)

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