Is it possible to write a tail-recursive version of the classic quicksort algorithm? Why or why not?

PYTHON! Can someone explain this recursion problem? In my mind the ouput would be 19 because: 1st step: R(5) = -1 because (5-1)-5 then returns to top with -1 and since that is less than zero it returns 20 but subtracts the -1 it returned   def R(n):    if n<=0:        return 20    return R(n-1) - n print(R(5))

USING SIMPLE JAVA CODE TAKE GIVEN CODE AND MODIFY MODIFY GIVEN CODE USING JAVA RECURSIVE ACTION DO THE SAME JOB BUT USING RECURSIVE ACTION INSTEAD OF RECURSIVE TASK SAMPLE CODE BELOW  ********************************************************************************************************* import java.util.concurrent.ExecutionException;import java.util.concurrent.ForkJoinPool;import java.util.concurrent.RecursiveTask; //replace with recursive action to do same job below// public class SumWithPool{    public static void main(String[] args) throws InterruptedException,       ExecutionException {       //get the number of avaialbe CPUs      int nThreads = Runtime.getRuntime().availableProcessors();      System.out.println("Available CPUs: " + nThreads);           //create an array of data     int n = 10; //initital data size         if(args.length > 0) // use the user given data size       n = Integer.parseInt(args[0]);     int[] numbers = new int[n];       for(int i = 0; i <…

Questions about Recursion in computers. Please explain your working and show calculations

Write a java program to print the number from 1 to 100 without using loop, recursion, bitset.Think about arrays and do this with array in O(1) time complexity

IN PYTHON, USING RECURSION: ask the user for the length of a square and the character they want to use. Draw the square. Once the user creates the square with their specification, ask them if they want it to be smaller or larger and how many times. Draw all the squares growing in size to the specified range. (the last solution someone gave me here did not work. Also please tryh to use a recursive queue.)

try to solve using PYTHON, make sure your code has the methods invoked and proper printing statements according to the tasks.Complete the following problem using concepts of RECURSION

Use Master Therom to determine the complexity of the following:

Attached is a programming question and its Java solution. My question regarding the recursion part:      1. "arr.add(j)" but then "arr.remove(arr.size() - 1)" follows soon after, and I think nothing should be printed. How does the program still print out permutations? Is it because the recursive method call only recurse all instructions from the start of the recursion method to that line? Otherwise, say the input is "5", how does "5=1+1+1+1+1" get printed?      2. Does the recursion stop when "j<=n" evaluates false because of "for(int j = i; j <= n; j++)"? Otherwise, which line of code tells the recursion to stop?