11.12 LAB: Fibonacci sequence (recursion) 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. Ex: If the input is: 7 the output is: Fibonacci (7) is 13 Note: Use recursion and DO NOT use any loops.
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- 8.12 LAB: Binary search Binary search can be implemented as a recursive algorithm. Each call makes a recursive call on one-half of the list the call received as an argument. Complete the recursive method binarySearch() with the following specifications: Parameters: a target integer an ArrayList of integers lower and upper bounds within which the recursive call will search Return value: the index within the ArrayList where the target is located -1 if target is not found The template provides main() and a helper function that reads an ArrayList from input. The algorithm begins by choosing an index midway between the lower and upper bounds. If target == integers.get(index) return index If lower == upper, return -1 to indicate not found Otherwise call the function recursively on half the ArrayList parameter: If integers.get(index) < target, search the ArrayList from index + 1 to upper If integers.get(index) > target, search the ArrayList from lower to index - 1…12) Fun With Mergesort. Given the recursive mergesort function below. Modify the msort function such that, msort calls msort for sub arrays with more than 1024 elements, and msort calls bsort for sub arrays with 1024 or less elements. Assume both functions operate on the same global array. int data[4294967296]; // REALLY BIG array void bsort (int f, int 1); // forward declaration void msort (int f, int 1) int m; if (f<1) { m - (f+1)/2; msort (f, m): msort (m+1,1): merge (f,m, 1);/** numUnique returns the number of unique values in an array of doubles. * The array may be empty and it may contain duplicate values. * Unlike the previous questions, you can assume the array is sorted. * * Your solution should contain at most one loop. You may not use recursion. * Your solution must not call any other functions. * Here are some examples (using "==" informally): * * * * * Ⓒ == numUnique (new double[] { }) 1 == numUnique (new double[] {11}) 1 == numUnique (new double[] { 11, 11, 11, 11 }) 8 == numUnique (new double[] { 11, 11, 11, 11, 22, 33, 44, 44, 44, 44, 44, 55, 55, 66, 77, 88, 88 }) 8 == numUnique (new double[] { 11, 22, 33, 44, 44, 44, 44, 44, 55, 55, 66, 77, 88 }) * */ public static int numUnique (double[] list) { return StdRandom.uniform (100); //TODO: fix this
- C++ Coding: Arrays Implement ONE array of the English alphabet (26 characters). Cast and generate the array with a loop. Output the array with a loop. Swap character variables with a swap function. Reverse all array elements with a loop and the swap function. Output the updated array with a loop. Example Output:Original: A B C D E F G H I J K L M N O P Q R S T U V W X Y ZReversed: Z Y X W V U T S R Q P O N M L K J I H G F E D C B A3.6 LAB: Number pattern Write a recursive function called print_num_pattern() to output the following number pattern. Given a positive integer as input (Ex: 12), subtract another positive integer (Ex: 3) continually until 0 or a negative value is reached, and then continually add the second integer until the first integer is again reached. For coding simplicity, output a space after every integer, including the last. Do not end output with a newline Ex. If the input is: 12 3 the output is 12 9 6 3 0 3 6 9 12 0/10 LAB ACTIVITY 3.6.1: LAB: Number pattern main.py Load default template 1. TODO: Write recursive print_num_pattern() function 2 3 if name "main": 4 numi int(input()) 5 num2 int(input()) print_num_pattern(num, num2)3.6 LAB: Number pattern Write a recursive function called print_num_pattern() to output the following number pattern. Given a positive integer as input (Ex: 12), subtract another positive integer (Ex: 3) continually until 0 or a negative value is reached, and then continually add the second integer until the first integer is again reached. For coding simplicity, output a space after every integer, including the last. Do not end output with a newline. Ex. If the input is: 12 3 the output is: 12 9 6 3 0 3 6 9 12
- 9. Implement an array with values 1, 5, 14, 23, 45, 52, 58, 81, 82 91. a) Create a getindex( function which does a linear search upon the array for a specific value n. Return the index of n, or -1 ifn does not exist, b) Print the array. c) Search the array for the values 23, 58, 11, rint the reaults. Qutpur Examnle 15 14 23 45 52 58 71 82 91 Number 23 is located at index Number 58 As located at index C Number 11 i looated at index -1def removeMultiples(x, arr) - directly remove the multiples of prime numbers (instead of just marking them) by creating a helper function. This recursive function takes in a number, n, and a list and returns a list that doesn’t contain the multiples of n.def createList(n) - a recursive function, createList(), that takes in the user input n and returns an array of integers from 2 through n (i.e. [2, 3, 4, …, n]). def Sieve_of_Eratosthenes(list) - a recursive function that takes in a list and returns a list of prime numbers from the input list.Template below: def createList(n): #Base Case/s #ToDo: Add conditions here for base case/s #if <condition> : #return <value> #Recursive Case/s #ToDo: Add conditions here for your recursive case/s #else: #return <operation and recursive call> #remove the line after this once all ToDo is completed return [] def removeMultiples(x, arr): #Base Case/s #TODO: Add conditions here for your…6.9 LAB: All permutations of names Write a program that lists all ways people can line up for a photo (all permutations of a list of Strings). The program will read a list of one word names (until -1), and use a recursive method to create and output all possible orderings of those names, one ordering per line. When the input is: Julia Lucas Mia -1 then the output is (must match the below ordering): Julia Lucas Mia Julia Mia Lucas Lucas Julia Mia Lucas Mia Julia Mia Julia Lucas Mia Lucas Julia import java.util.Scanner;import java.util.ArrayList; public class PhotoLineups { // TODO: Write method to create and output all permutations of the list of names.public static void allPermutations(ArrayList<String> permList, ArrayList<String> nameList) {} public static void main(String[] args) {Scanner scnr = new Scanner(System.in);ArrayList<String> nameList = new ArrayList<String>();ArrayList<String> permList = new ArrayList<String>();String name;//…
- a,b,c Please write answer so I can copy paste*** Exercise 1.6.4: Truth values for quantified statements for a given set of predicates. The domain for this problem is a set {a,b,c,d}. The table below shows the value of three predicates for each of the elements in the domain. For example, Q(b) is false because the truth value in row b, column Q is F. P Q R a T T F b T F F c T F F d T F F Which statements are true? Justify your answer. (a) ∀x P(x) (b) ∃x P(x) (c) ∀x Q(x)3. Largest: a recursive function that computes the largest value for an integer array of positiveand negative values. For example, for the array below, the function largest should return 22,which is the largest value in the array. You can assume there are no more 20 integers in thearray. Think of how to formulate the recurrence relation in this problem yourself.4.10 LAB: All permutations of names Write a program that lists all ways people can line up for a photo (all permutations of a list of strings). The program will read a list of one word names, then use a recursive function to create and output all possible orderings of those names separated by a comma, one ordering per line. When the input is: Julia Lucas Mia then the output is (must match the below ordering): Julia, Lucas, Mia Julia, Mia, Lucas Lucas, Julia, Mia Lucas, Mia, Julia Mia, Julia, Lucas Mia, Lucas, Julia def print_all_permutations(permList, nameList): # TODO: Implement method to create and output all permutations of the list of names. if __name__ == "__main__": nameList = input().split(' ') permList = [] print_all_permutations(permList, nameList)