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- Computer Science A) If the values of c and d are given and the function Euclid(c,d) below is executed, multiple recursive calls (Bolded at function) are performed to obtain gcd(c,d) and terminate. Give examples of c and d that make exactly 7 recursive calls, and show the process. However, c>d>=1. Euclid(c,d) if d=0 then return c else return Euclid(d,c mod d)write algorithm or theory of the following problem. Dont write code, Narrative 2: We need to have a generic module which reads in file and gives the output in the format which would facilitate other programs to do comparison like the one we saw above to carry out analysis and comparison. Response Required: Write a program that reads a given text, outputs the text as is, and also prints the number of lines and the number of times each letter appears in the text. An uppercase letter and a lowercase letter are treated as being the same; that is, they are tallied together. Since there are 26 letters, we use an array of 26 components to perform the letter count. We also need a variable to store the line count. The text is stored in a file, which we will call textin.txt. The output will be stored in a file, which we will call textout.txt Input: A file containing the text to be processed. Output: A file containing the text, number of lines, and the number of times a letter appears in the…Count consecutive summers def count_consecutive_summers(n): Like a majestic wild horse waiting for the rugged hero to tame it, positive integers can be broken down as sums of consecutive positive integers in various ways. For example, the integer 42 often used as placeholder in this kind of discussions can be broken down into such a sum in four different ways: (a) 3 + 4 + 5 + 6 + 7 + 8 + 9, (b) 9 + 10 + 11 + 12, (c) 13 + 14 + 15 and (d) 42. As the last solution (d) shows, any positive integer can always be trivially expressed as a singleton sum that consists of that integer alone. Given a positive integer n, determine how many different ways it can be expressed as a sum of consecutive positive integers, and return that count. The number of ways that a positive integer n can be represented as a sum of consecutive integers is called its politeness, and can also be computed by tallying up the number of odd divisors of that number. However, note that the linked Wikipedia de0inition…
- (C Language) The Fibonacci sequence begins with 0 and then 1 follows. All subsequent values are the sum of the previous two, for example: 0, 1, 1, 2, 3, 5, 8, 13. Complete the Fibonacci() function, which takes in an index, n, and returns the nth value in the sequence. Any negative index values should return -1.3. Please Help me to solve the following all the subparts perfectly on word: PS: You just need to show the prove or disprove (for a) and show the prove or show if it is true (for b).def find_root4(x, epsilon): ''' IN PYTHON Assume: x, epsilon are floating point numbers and epsilon > 0 Use bisection search to find the following root of x such that If x >=0, return y such that x - epsilon <= y ** 2 <= x + epsilon Else, return y such that x - epsilon <= y ** 7 <= x + epsilon Note: You must use bisection search to implement the function. ''' pass
- 1.Implement a recursive function allCharsPerm( listOfChars ) the generates all unique permutations of the chars in listOfChars. You can assume listOfChars contains unique chars (no repeated characters in the list). 2.Solve the recurrence and state the time complexity using Big-O notation. This will be challenging. Hint: Try forward or backward iteration / substitution, and keep very organized with your parentheses.Write true (T) or false (F) for each of the following: 1. The practical reason for using algorithms is the need for efficient algorithms to solve most practical problems. [ ] 2. A Class is a data type and Object is an instance of a class. [ ] 3. In class inheritance, a subclass inherits only the non-private members of the superclass. [ ] 4. Adding a derived class to a base class requires fundamental changes to the base class. [ ] 5. In object-oriented programming, an object can be a subclass of another object. [ ] 6. A constructor is a function that is automatically called when an object is created. [ ] 7. A function in a child class can override another function in the parent class with the same signature. [ ] 8. Solving recurrence equations using substitution method is powerful but not systematic. [ ] 9. The time complexity is a measure of the amount of memory needed for an algorithm to execute. [ ] 10. By using Master method, if ?(?)=9?(?3)+?, then ?(?) will be equal to ?(?3).ce from the user t using recursion.
- Determine whether the following is true or false. Please cite the brief explanation so that I can know why is it true or false. a) The sentence “If x > 0, then compute √π”, is as tatement. b) The compound statement p ∧(q ∨¬p )∧¬q is ac ontradiction. c) ¬( p ∨ q) ≡ ¬p ∧¬q d) 1 ∈ {{1},{2},{3}} e) Set B = {x | x ∈ ℝ and x4 =16} is finite. f) [2,4] U (3,5) is a disjoint union g) A\B = A ∩ Bc h) A X B = B X A I) {{Ø}} = 0 j) The contrapositive of p -> (p V ¬p) = (¬p∧ q) -> ¬pIn c++ The Fibonacci numbers are a series of numbers that exhibit the following pattern: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, … The series starts with 0 and 1, and each subsequent number in the series is the sum of the previous two numbers. The Fibonacci sequence, Fn, is defined by the following recurrence relation: Fn = Fn-1 + Fn-2 Where the initial values are F0 = 0 and F1 = 1. Write a program that prompts the user to enter in a positive integer N and generates the Nth Fibonacci number. Your main function should handle user input and pass that data to a function called Fib that takes integer N as input and returns the Nth Fibonacci number. Include the functions preconditions and postconditions as comments in your source code. Include some basic input validation to make sure the function’s preconditions are met before the function is called. Show your source code and a sample of your program output.Show that the given argument is either valid or invalid using resolution. Either I love math or I’m obsessed with it. If I love math, then I will major in it. I am not majoring in math, therefore I am obsessed with math.