![Problem 1. [26 pts] Given the Fibonacci numbers, defined as: Fo 0, F1-1, F k Fk2 write or draw the recursive trace of the calculation of the 5th Fibonacci number (Fs 5) with the following Algorithm (which is based on linear recursion) Algorithm Fibonacci Linear (k) Input: a positive integer value k Output: a pair of Fibonacci numbers (F., F..) if k < 2 then R-1 return (R, e) else (i, j) Fibonacci Linear (R-1) return (itj, i) end if](http://img.homeworklib.com/questions/7c0a5620-0179-11ec-9b9f-a9f0bab81632.png?x-oss-process=image/resize,w_560)
Please write and draw the recursive trace, and please explain, thank you!
Homework Answers
Add Answer to:
Please write and draw the recursive trace, and please explain,
thank you!
Problem 1. [26 pts]...
The Fibonnaci sequence is a recursive sequence defined as: f0 = 1, f1 = 1, and...
The Fibonnaci sequence is a recursive sequence defined as: f0 = 1, f1 = 1, and fn = fn−1 + fn−2 for n > 1 So the first few terms are 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, . . .. Write a function/procedure/algorithm that computes the sum of all even-valued Fibonnaci terms less than or equal to some positive integer k. For example the sum of all even-valued Fibonnaci terms less than or equal to 40...
C++ PROGRAM ONLY! For this lab you need to write a program that will read in...
C++ PROGRAM ONLY!
For this lab you need to write a program that will read in two values from a user and output the greatest common divisor (using a recursive implementation of the Euclidean algorithm) to a file. In Lab #3, you implemented this program using an iterative method. Greatest Common Divisor In mathematics, the greatest common divisor (GCD) of two or more integers (when at least one of of them is zero then the larger value is the GCD....
Suppose you have an array S indexed from 1 to n which contains n numbers, not...
Suppose you have an array S indexed from 1 to n which contains n numbers, not in any particular order, and you wish to count how many times a given number x occurs in S. Consider the recursive algorithm below for this which finds the number of occurrences of x in the index range i...j in S. Of course, solving the problem would involve an initial call to the algorithm for the range 1.n: int CountOccur (int i,j) { int...
Programming Assignment #7 (Recursion) This assignment is to write some methods that perform simple array operations...
Programming Assignment #7 (Recursion) This assignment is to write some methods that perform simple array operations recursively. Specifically, you will write the bodies for the recursive methods of the ArrayRecursion class, available on the class web page. No credit will be given if any changes are made to ArrayRecursion.java, other than completing the method bodies Note that the public methods of ArrayRecursion – contains(), getIndexOfSmallest(), and sort() – cannot be recursive because they have no parameters. Each of these methods...
I only need help with question 5! Thank you! Question 4 4 pts Consider this variant...
I only need help with question 5! Thank
you!
Question 4 4 pts Consider this variant of the linear search algorithm which attempts to speed up the search by reducing the number of iterations of the for loop by approximately one-half. During each pass of the loop, the algorithm performs two comparisons rather than one comparison as in linear Search(). The two comparisons compare the elements at indices i and pList size() - 1-i to pKey for equality. If a...
you will analyse two algorithms for finding the median of an array of integers. You will...
you will analyse two algorithms for finding the median of an array of integers. You will compare both algorithms in terms of timing, and hopefully design a hybrid algorithm that uses both, depending on input size. You will write a report describing your experiments and results. the following Java program implements two algorithms for finding the median of an array of integers. The first uses merge sort, and the other implements the recursive linear time selection algorithm, the task is...
Use R language to program Problem 1: Greatest Common Divisor (GCD) Please write two functions, g...
Use R language to program
Problem 1: Greatest Common Divisor (GCD) Please write two functions, g edi ) and gcdr , which both take two integers a, b and calculates their greatest common divisor (GCD) using the Euclidean algorithm gcdi () should do so using iteration while gcdr () should use recursion. Then write a third function, gcd(), which takes two integers a, band an optional third argument nethod which takes a charater string containing either "iterative" or "recursive", with...
1. Write R' = {(x, y) |X, Y ER} to represent the set of all 1x2...
1. Write R' = {(x, y) |X, Y ER} to represent the set of all 1x2 row vectors of real numbers. This is the standard Euclidean plane you all know and love. If such a row vector is multiplied on the right by a 2x2 matrix, then the output is again in R"; such matrices are called linear transformations. 1. Find a linear transformation that rotates the plane R by a radians. That is, find a matrix T such that...
CMPS 12B Introduction to Data Structures Programming Assignment 2 In this project, you will write...
can i get some help with this program
CMPS 12B Introduction to Data Structures Programming Assignment 2 In this project, you will write a Java program that uses recursion to find all solutions to the n-Queens problem, for 1 Sns 15. (Students who took CMPS 12A from me worked on an iterative, non-recursive approach to this same problem. You can see it at https://classes.soe.ucsc.edu/cmps012a/Spring l8/pa5.pdf.) Begin by reading the Wikipcdia article on the Eight Queens puzzle at: http://en.wikipedia.org/wiki/Eight queens_puzzle In...
Please write neat and explain thank you. This problem concerns embedding the complex plane C with...
Please write neat and explain thank you.
This problem concerns embedding the complex plane C with elements zx iy in the Riemann sphere defined in 3-dimensional space R' with coordinates (X,Y,Z) as the set of points satisfying X2 + Y2+22 = 1, which is known as the unit sphere and denoted by S2,or in the context of stereographic projection of the complex plane into the sphere, often referred to as the extended complex plane and denoted by C. We identify...
C++ PROGRAM ONLY!
For this lab you need to write a program that will read in two values from a user and output the greatest common divisor (using a recursive implementation of the Euclidean algorithm) to a file. In Lab #3, you implemented this program using an iterative method. Greatest Common Divisor In mathematics, the greatest common divisor (GCD) of two or more integers (when at least one of of them is zero then the larger value is the GCD....
Suppose you have an array S indexed from 1 to n which contains n numbers, not in any particular order, and you wish to count how many times a given number x occurs in S. Consider the recursive algorithm below for this which finds the number of occurrences of x in the index range i...j in S. Of course, solving the problem would involve an initial call to the algorithm for the range 1.n: int CountOccur (int i,j) { int...
I only need help with question 5! Thank
you!
Question 4 4 pts Consider this variant of the linear search algorithm which attempts to speed up the search by reducing the number of iterations of the for loop by approximately one-half. During each pass of the loop, the algorithm performs two comparisons rather than one comparison as in linear Search(). The two comparisons compare the elements at indices i and pList size() - 1-i to pKey for equality. If a...
Use R language to program
Problem 1: Greatest Common Divisor (GCD) Please write two functions, g edi ) and gcdr , which both take two integers a, b and calculates their greatest common divisor (GCD) using the Euclidean algorithm gcdi () should do so using iteration while gcdr () should use recursion. Then write a third function, gcd(), which takes two integers a, band an optional third argument nethod which takes a charater string containing either "iterative" or "recursive", with...
1. Write R' = {(x, y) |X, Y ER} to represent the set of all 1x2 row vectors of real numbers. This is the standard Euclidean plane you all know and love. If such a row vector is multiplied on the right by a 2x2 matrix, then the output is again in R"; such matrices are called linear transformations. 1. Find a linear transformation that rotates the plane R by a radians. That is, find a matrix T such that...
can i get some help with this program
CMPS 12B Introduction to Data Structures Programming Assignment 2 In this project, you will write a Java program that uses recursion to find all solutions to the n-Queens problem, for 1 Sns 15. (Students who took CMPS 12A from me worked on an iterative, non-recursive approach to this same problem. You can see it at https://classes.soe.ucsc.edu/cmps012a/Spring l8/pa5.pdf.) Begin by reading the Wikipcdia article on the Eight Queens puzzle at: http://en.wikipedia.org/wiki/Eight queens_puzzle In...
Please write neat and explain thank you.
This problem concerns embedding the complex plane C with elements zx iy in the Riemann sphere defined in 3-dimensional space R' with coordinates (X,Y,Z) as the set of points satisfying X2 + Y2+22 = 1, which is known as the unit sphere and denoted by S2,or in the context of stereographic projection of the complex plane into the sphere, often referred to as the extended complex plane and denoted by C. We identify...
Most questions answered within 3 hours.
-
Consider the competitive environment of Starbuck's, Progressive
Insurance, a manufacturing firm with low turnover, or a...
asked 4 minutes ago -
3. Gains from trade
Consider two neighbouring island countries called Euphoria and
Contente. They each have...
asked 1 hour ago -
A business executive has the option to invest money in two
plans: Plan A guarantees that...
asked 4 hours ago -
Hello, can someone please help me answer this question?
How much heat is absorbed by a...
asked 4 hours ago -
. A marketing researcher conducted a survey of 25 shoppers
randomly selected at the local mall...
asked 4 hours ago -
Create an comprehensive response to the
following:
Antimicrobial agents work on a multitude of microbes (bacteria,...
asked 4 hours ago -
6.13 LAB: Step counter. Section 6.3.
A pedometer treats walking 2,000 steps as walking 1 mile....
asked 4 hours ago -
(14.2) A block of mass m = 10 kg riding on a frictionless
horizontal plane is...
asked 4 hours ago -
Use any search engine to search for articles about Starbucks
partnership with Tata Companies in India...
asked 4 hours ago -
Let’s say that for some reason Bank Excess Reserves suddenly
increase sharply. What effect would this...
asked 4 hours ago -
Given:
Curent Assets: $600,000
Total Assets: $2,600,000
Current Liabilities: $500,000
Total Liabilities: $1,700,000
What is the...
asked 4 hours ago -
1. What is a “Bankster”? What is insider trading? Why is it
illegal?
2. What is...
asked 4 hours ago