Write a program that gets integer input from user until the multiplication of the values reaches 256 by using while loop.

Please type thank you!   Tasks: 1. Write a python program that implements the estimation of Pi through a Monte Calo simulation.     1)  How many iterations do you need to run? make a case for when it is a good approximation of Pi.       2)  Suggest a method that would accelerate the approximation of Pi. You may either suggest a method that would accelerate the approximation of Pi than the method you described in b, or you may describe two methods and explain which one can accelerate the approximation of Pi than the other one.

Name two types of methods that you can only add to an interface with Java 8 or later and the advantages they provide.

Please give a full detailed optimized solution in Java 8 for the given problem, use the example code provided as well. Please provide comments and screenshots of code and output. Also, add the time/space complexity and the reason for it.Java 8 Code Example:import java.io.*; import java.util.*; import java.text.*; import java.math.*; import java.util.regex.*; public class Solution {     public static void main(String args[] ) throws Exception {         /* Enter your code here. Read input from STDIN. Print output to STDOUT */     } }