Introduction to Java Programming and Data Structures, Comprehensive Version (11th Edition)
11th Edition
ISBN: 9780134670942
Author: Y. Daniel Liang
Publisher: PEARSON
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Chapter 18, Problem
(Sum series) Write a recursive method to compute the following series:
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1.)I have to recursive with python language and was asked to do a buy 2 get 1 free where you have some amount of money(x) each item costs a given amount(y), for each 2 item you get 1 free, builda recursive solution to find out how many items you can buy for x amount of money.
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Java Program: Recursive Method
There are n people in a room where n is an integer greater then or equal to 2. Each person shakes hands once with every other person. What is the total number of handshakes in the room? Write a recursive method to solve this problem with the following header:public static int handshake(int n)where handshake(n) returns the total number of handshakes for n people in the room. To get you started if there are only one or two people in the room, then:handshake(1)=0handshake(2)=1
Chapter 18 Solutions
Introduction to Java Programming and Data Structures, Comprehensive Version (11th Edition)
Ch. 18.2 - What is a recursive method? What is an infinite...Ch. 18.2 - Prob. 18.2.2CPCh. 18.2 - Show the output of the following programs and...Ch. 18.2 - Prob. 18.2.4CPCh. 18.2 - Prob. 18.2.5CPCh. 18.2 - Write a recursive mathematical definition for...Ch. 18.3 - Prob. 18.3.1CPCh. 18.3 - What is wrong in the following methods?Ch. 18.3 - Prob. 18.3.3CPCh. 18.4 - Describe the characteristics of recursive methods.
Ch. 18.4 - Prob. 18.4.2CPCh. 18.4 - Prob. 18.4.3CPCh. 18.5 - Prob. 18.5.1CPCh. 18.5 - Prob. 18.5.2CPCh. 18.5 - What is a recursive helper method?Ch. 18.6 - Prob. 18.6.1CPCh. 18.6 - How does the program get all files and directories...Ch. 18.6 - How many times will the getSize method be invoked...Ch. 18.6 - Will the program work if the directory is empty...Ch. 18.6 - Will the program work if line 20 is replaced by...Ch. 18.6 - Will the program work if lines 20 and 21 are...Ch. 18.7 - Prob. 18.7.1CPCh. 18.8 - Prob. 18.8.1CPCh. 18.8 - Prob. 18.8.2CPCh. 18.8 - How many times is the displayTriangles method...Ch. 18.8 - Prob. 18.8.4CPCh. 18.8 - Prob. 18.8.5CPCh. 18.9 - Which of the following statements are true? a. Any...Ch. 18.9 - Prob. 18.9.2CPCh. 18.10 - Identify tail-recursive methods in this chapter.Ch. 18.10 - Rewrite the fib method in Listing 18.2 using tail...Ch. 18 - Prob. 18.1PECh. 18 - Prob. 18.2PECh. 18 - (Compute greatest common divisor using recursion)...Ch. 18 - (Sum series) Write a recursive method to compute...Ch. 18 - (Sum series) Write a recursive method to compute...Ch. 18 - (Sum series) Write a recursive method to compute...Ch. 18 - (Fibonacci series) Modify Listing 18.2,...Ch. 18 - Prob. 18.8PECh. 18 - (Print the characters in a string reversely) Write...Ch. 18 - (Occurrences of a specified character in a string)...Ch. 18 - Prob. 18.11PECh. 18 - (Print the characters in a string reversely)...Ch. 18 - (Find the largest number in an array) Write a...Ch. 18 - (Find the number of uppercase letters in a string)...Ch. 18 - Prob. 18.15PECh. 18 - (Find the number of uppercase letters in an array)...Ch. 18 - (Occurrences of a specified character in an array)...Ch. 18 - (Tower of Hanoi) Modify Listing 18.8,...Ch. 18 - Prob. 18.19PECh. 18 - (Display circles) Write a Java program that...Ch. 18 - (Decimal to binary) Write a recursive method that...Ch. 18 - (Decimal to hex) Write a recursive method that...Ch. 18 - (Binary to decimal) Write a recursive method that...Ch. 18 - (Hex to decimal) Write a recursive method that...Ch. 18 - Prob. 18.25PECh. 18 - (Create a maze) Write a program that will find a...Ch. 18 - (Koch snowflake fractal) The text presented the...Ch. 18 - (Nonrecursive directory size) Rewrite Listing...Ch. 18 - (Number of files in a directory) Write a program...Ch. 18 - (Game: Knights Tour) The Knights Tour is an...Ch. 18 - (Game: Knights Tour animation) Write a program for...Ch. 18 - (Game: Eight Queens) The Eight Queens problem is...Ch. 18 - Prob. 18.35PECh. 18 - (Sierpinski triangle) Write a program that lets...Ch. 18 - (Hilbert curve) The Hilbert curve, first described...Ch. 18 - (Recursive tree) Write a program to display a...Ch. 18 - Prob. 18.39PE
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- 12 - question The following method is a recursive pow method to compute exponents, there is a logical error in this code. Please choose the line which has the error. 1. public static int pow (int x, int y) { 2. if (y>1) 3. return x * pow (x, y - 1); 4. else 5. return y; 6. } a. Line 2 b. Line 3 C. Line 4 d. Line 5arrow_forwardRecursive Power MethodWrite a method called powCal that uses recursion to raise a number to a power. The method should accept two arguments: The first argument is the exponent and the second argument is the number to be raised (example” powCal(10,2) means 210). Assume that the exponent is a nonnegative integer. Demonstrate the method in a program called Recursive (This means that you need to write a program that has at least two methods: main and powCal. The powCal method is where you implement the requirements above and the main method is where you make a method call to demonstrate how your powCal method work).arrow_forwarda. Prompt the user to type a word on console and save the input into variable b. Implement recursive method(s) isPalindrome() to check if the given word is a palindrome and call it from the main(). c. Implement recursive method(s) theLength() to calculate the length of the given word (its number of characters) d. Display your results on console in the following format: "You word palindrome." consists of_ characters, this a e. Explain in comments the algorithms you use (how the recursion works, where is the base case, there is the recursive call(s), how you reduce the problem complexity).arrow_forward
- 4. CodeW. X b For fun X Solved x b Answer x+ Ohttps://codeworko... CodeWorkout X264: Recursion Programming Exercise: Multiply For function multiply,write the missing base case condition and action. This function will multiply two numbers x and y.You can assume that both x and y are positive. Examples: multiply(2, 3) -> 6 Your Answer: 1 public int multiply(int x, int y) { 2. if > { > } else { return multiply(x 1, y) + y; 3. 5. { 7. 1:08 AM 50°F Clear 日arrow_forward*please have comments in the code* You are to write a program in MIPS that computes N! using recursion. Remember N! is the product of all the numbers from 1 to N inclusive, that is 1 x 2 x 3 x (N – 1) x N. It is defined as 1 for N = 0 and is undefined for values less than 0. The programs first requests the user to input the value of N (display a prompt first so the user knows what to do). If the input value is less than 0, the program is to display “N! undefined for values less than 0” and then requests the user to input the value of N again. If the value input is non-negative, it is to compute N! using a recursive function, that is one that calls itself. You are to have your name, the assignment number, and a brief description of the program in comments at the top of your program. Since this is an assembly language program, I expect to see comments on almost every line of code in the program. Also make the code neat: line up the command fields, the register fields, and the comment…arrow_forwardT/F 6) Consider the following recursive sum method:public int sum(int x) {if(x = = 0) return 0;else return sum(x – 1) + 1;}If the base case is replaced with “if(x = = 1) return 1;” the method will still compute the same thing.arrow_forward
- Which of the following statements are correct? Iteration is always worse than recursion. Recursion uses more memory than an iterative approach. Recursion uses less memory than an iterative approach. O Iterative function is always easier to write than recursion.arrow_forwardT/F 6. Consider the following recursive sum method:public int sum(int x){if (x == 0) return 0;else return sum(x - 1) + 1;}arrow_forwardFibonacci numbers are a sequence of integers, starting with 1, where the value of each number is the sum of the two previous numbers, e.g. 1, 1, 2, 3, 5, 8, etc. Write a function called fibonacci that takes a parameter, n, which contains an integer value, and have it return the nth Fibonacci number. (There are two ways to do this: one with recursion, and one without.)arrow_forward
- 2. Sum: a recursive function that computes the sum of integers 1, 2, 3, …., n for a given number n. So Sum(6) should return 1 + 2 + 3 + 4 + 5 + 6 , i.e. 21.sum(n) = n + sum(n-1)arrow_forwardExercise 1: (Design of algorithm to find greatest common divisor) In mathematics, the greatest common divisor (gcd) of two or more integers is the largest positive integer that divides each of the integers. For example, the gcd of 8 and 12 is 4. Why? Divisors of 8 are 1, 2, 4, 8. Divisors of 12 are 1, 2, 4, 6, 12 Thus, the common divisors of 8 and 12 are 1, 2, 4. Out of these common divisors, the greatest one is 4. Therefore, the greatest common divisor (gcd) of 8 and 12 is 4. Write a programming code for a function FindGCD(m,n) that find the greatest common divisor. You can use any language of Java/C++/Python/Octave. Find GCD Algorithm: Step 1 Make an array to store common divisors of two integers m, n. Step 2 Check all the integers from 1 to minimun(m,n) whether they divide both m, n. If yes, add it to the array. Step 3 Return the maximum number in the array.arrow_forward(Mathematical Analysis of Recursive Algorithms) 9. Consider the following recursive algorithm for computing the sum of the first n cube: S(n) = 1³ +23³ +3³ +...+n³. Algorithm S(n) //Input: A positive integer n //Output: The sum of the first n cubes if n = 1 return 1 else return S(n − 1) +n*n*n a) Set up and solve a recurrence relation for the number of times the algorithm's basic operation is executed. b) How does this algorithm compare with the straightforward non-recursive algorithm for computing this function?arrow_forward
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