Use pseudocode to write a non-recursive algorithm for calculating the sum of the first n non-negative integers. (Do NOT use a formula!)
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- 15. Write a program to implement and test the algorithm that you designed for Exercise 15 of Chapter 1. (You may assume that the value of . In your program, declare a named constant PI to store this value.)2. PLEASE USE RECURSION AND C PROGRAMMING LANGUAGE ONLY Ask a number N and finds the addition of N numbers using recursion.When done, ask user to repeat or end the program.T/F 9. As loop variables and recursive solutions are also not used for iterative solutions, the recursive solution generally makes memorization more effective (use fewer stored) than the corresponding iterative solution.
- Please help me with this using java Please comment each line of code and use recursionLAB RESTRICTIONS, PLEASE READ:- Do not add any imports, the ones that you need will be given to you.- Do not use recursion.- Do not use try-except statements, you should be able to anticipateor prevent any errors from happening at all! - Code in Python 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).Note on grading for this question:You've already implemented a function that can generate all the substringsof a given string in lab 5. You can use that logic to help here, but itwill be quite slow.For this question, PERFORMANCE WILL MATTER, and we will run long tests withup to 10,000,000 characters as an input. To get full…Calculating Fibonacci number: Write down the pseudocode for originally calculating Fibonacci number (without using dynamic programming) Write down the pseudocode for originally calculating Fibonacci number using dynamic programming, iteratively Write down the pseudocode for originally calculating Fibonacci number using dynamic programming, recursively What’s the difference between these three?
- C++ 6.40 (Visualizing Recursion) It’s interesting to watch recursion“in action.” Modify the factorial function of Fig. 6.25 to print itslocal variable and recursive call parameter. For each recursivecall, display the outputs on a separate line and add a level ofindentation. Do your utmost to make the outputs clear,interesting and meaningful. Your goal here is to design andimplement an output format that helps a person understandrecursion better. You may want to add such display capabilitiesto the many other recursion examples and exercisesthroughout the text. // Fig. 6.25: fig06_25.cpp// Recursive function factorial.#include <iostream>#include <iomanip>using namespace std; unsigned long factorial(unsigned long); // function prototype int main() {// calculate the factorials of 0 through 10for (unsigned int counter{0}; counter <= 10; ++counter) {cout << setw(2) << counter << "! = " << factorial(counter)<< endl;}} // recursive definition of…Question-3 There are n number of students in a class. Assume a teacher enters and wants to shake hand according to an algorithm: Algorithm (X) à 2n a) Write a recursive function to solve this problem for any number of students also calculate the time complexity of your code, along with an idea what might be the best technique to solve this problem other than recursion.finding factorial of a number using recursive function. c++ program 1) n and r should be parallel arrays and be defined at run time (dynamic array) during the program execution 2) computer nCr for each items in the array n and r 3) display the result
- 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 previously seen characters, from there, you canfollow a set of rules based…Please help me with this using java and recursion. Please comment each of the code. amAs well as post an image of the program working 1) create a sierpenski triangle (Image 1) 2) create a sierpenski carpet (image 2)One-friend recursion vs iteration. 1. Your objective is to receive the tuple a1, a2,..., a and return the tuple an, an1,..., a1 that has been inverted. You will only take an element off of one end or put an element back on one end because you are being lazy. But you have friends in recursion who can assist you.Please provide the recursive code as well as a paragraph with the friend's description of the algorithm.2. Now imagine that you lack friends but have a stack. Quickly design an iterative programme to address this issue. Include loop invariants and other crucial stages that are necessary to describe an iterative method.3. Trace both of these scripts separately. On a computer, step by step compare and contrast their calculations.