Part 1) Write pseudocode for an iterative algorithm which finds the maximum value of a list of integers. Use a loop invariant to prove your algorithm is correct. (Presumably you have already witten a program like this over the course of your studies! The interesting part here is the proof.)
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- Please write the answer readable write the Explicit and Recursive function for the sequence(plz use f and f(x)) -7, 1, 13, 29, 49Define a function is_prime that recieves an integer arguement and returns true if the arguement is a prime number and otherwise returns false. This function may be written with a for loop, while loop or using a recursion.in c++ with pre and post pseudocode please dont show me the same code from others please thank u Write the simplest program that will demonstrate iteration vs recursion using the following guidelines - Write two primary helper functions - one iterative (IsArrayPrimeIter) and one recursive (IsArrayPrimeRecur) - each of which Takes an array of integers and its size as input params and returns a bool such that 'true' ==> all elements of the array are prime, so the array is prime, 'false' ==> at least one element in array is not prime, so array is not prime. Print out a message "Entering <function_name>" as the first executed statement of each function. Perform the code to test whether every element of the array is a Prime number. Print out a message "Leaving <function_name>" as the last executed statement before returning from the function. Remember - there will be nested loops for the iterative function and there can be no loops at all in the recursive function.…
- Use .cpp file below to write c++ code. Change split() function to use the midian of three methods. Show the status of the list F= [ 18, 5, 1, 3, 9, 7, 2, 12, 99, 6, 21] at the end of each phase of recursive Quick sort using median of three rule to determine the pivot key. Then write a non recursive version of this whole program using the median of three rule. #include <iostream>using namespace std; static const int numValues = 11; static int values[numValues] = { 18, 5, 1, 3, 9, 7, 2, 12, 99, 6, 21 }; void display(); void swap(int& item1, int& item2){ int temp = item1; item1 = item2; item2 = temp;}int split(int first, int last){ int splitVal = values[first]; int saveF = first; bool onCorrectSide; first++; do { onCorrectSide = true; while (onCorrectSide) { if (values[first] > splitVal) onCorrectSide = false; else { first++; onCorrectSide = (first <= last);…Iteration versus one-friend recursion. 1. Your job is to accept the tuple a1, a2,..., a and return the tuple an, an1,..., a1 that has been reversed. You will only take an element off of one end or put an element back on one end because you are being indolent. But you have allies in recursion who can assist you.Please include the recursive code as well as a paragraph with the friend's description of the algorithm. 2. Now imagine that you lack pals but have a stack. (Refer to Chapter 3. Quickly design an incremental programme to address this issue. Include loop invariants and other crucial stages that are necessary to describe an iterative algorithm. 3. Trace both of these scripts separately. Compare and contrast their computerised calculations step by step.T/F 7. The recursive procedure for solving the Towers of Hanoi can only be used if the number of discs parameter is 7 or less.
- Create a recursive function that checks if a word is a palindrome. A palindrome is a word, phrase, number, or other sequences of characters that reads the same forward and backward (ignoring spaces, punctuation, and capitalization). For example, "radar" is a palindrome.Please use easy logic with proper indentations and comments for understanding!. Coding should be in C++. 1. Write a recursive function named printStars which receives an int parameter. If the parameter is positive, the function prints the given number of asterisks; otherwise the function does nothing. The function does not return a value. Thus, if the printStars(8) is called, ******** (8 asterisks) will be printed. The function must not use a loop of any kind to accomplish its job. Instead, it gets the job done by (recursively) calling itself.PLEASE DO THIS DO USE CHEGG OR OTHER WEBSITE ANSWER AND PROVE THE DOCTEST RESTRICTIONS: - Do not add any imports and do it on python .Do not use recursion. Do not use break/continue.Do not use try-except statements. def longest_unique_substring(s: str) -> str:"""Given a string <s>, return the longest unique substring that occurs within<s>.A unique substring is a substring within <s> which DOES NOT have anyrepeating characters. As an example, "xd" is unique but "xxd" is not.If there are two equal length unique substrings within <s>, return the onethat starts first (i.e., begins at a smaller index).For this question, PERFORMANCE WILL MATTER, and we will run long tests withup to 10,000,000 characters as an input. To get full credit, an input of10,000,000 characters should return the correct answer within 60 seconds(the instructor solution takes about 2).Helpful tips:In order to get your function to run fast, consider using a dictionary tostore the indexes of…
- Determine the order of growth of the following snippet of code:Q2: A positive integer is entered through the keyboard, write a function to display the Fibonacci series upto ‘n’ positive integer (1) Without using recursion (2) Using recursionIn c++ please with clear indentation thank you so much Write the simplest program that will demonstrate iteration vs recursion using the following guidelines - Write two primary helper functions - one iterative (IsArrayPrimeIter) and one recursive (IsArrayPrimeRecur) - each of which Takes an array of integers and its size as input params and returns a bool such that 'true' ==> all elements of the array are prime, so the array is prime, 'false' ==> at least one element in array is not prime, so array is not prime. Print out a message "Entering <function_name>" as the first executed statement of each function. Perform the code to test whether every element of the array is a Prime number. Print out a message "Leaving <function_name>" as the last executed statement before returning from the function. Remember - there will be nested loops for the iterative function and there can be no loops at all in the recursive function. For the recursive function - define one…