Question

Q1) A simple random generator is obtained by the formula r_new = (a×r_old+b)%m and then setting r_old to r_new. Write a program that asks the user to enter an initial value for r_old. (Such a value is often called a seed). Then print the first 100 random integers generated by this formula, using a = 32310901, b = 1729, and m = 224 .

Q2) How thick does paper folding get? Take one sheet out of your newspaper, and fold it in half, then fold it in half again, and again, and again. Can you fold it 30 times? Pretending that you can (you probably can’t fold it more than 8 times), how thick would it be after 30 times? Assume the paper is 1/200 cm. thick. Write a program to solve this puzzle. Prompt for the number of folds and output the thickness in meters.

Note : Run by pycharm

Answer 1

Q1)

Solution:

Screenshot of the code:

Sample Output:

Code To Copy:

//Include the header file.

import java.util.Scanner;

class Main {

//Define the main function.

public static void main(String[] args) {

    //Create an object of Scanner type.

    Scanner sc = new Scanner(System.in);

    //Prompt the user to enter the value of r.

    System.out.print("Enter the value for r_old: ");

    int r_old = sc.nextInt();

    //Prompt the user to enter the value of a.

    System.out.print("Enter the value for a: ");

    int a = sc.nextInt();

    //Prompt the user to enter the value of b.

    System.out.print("Enter the value for b: ");

    int b = sc.nextInt();

    //Prompt the user to enter the value of m.

    System.out.print("Enter the value for m: ");

    int m = sc.nextInt();

   

//Declare an array to store 100 randomly

    //generated array.

    int[] numberArray = new int [100];

    //Begin the for loop.

    for (int i = 0; i < numberArray.length; i++) {

      //Compute the new value of r.

      int r_new = (a * r_old + b) % m;

      //Store it in the array.

      numberArray [i] = r_new;

      //Update the value of r_old.

      r_old = r_new;             

    }

    //Begin the for loop to diaplay the

    //value of randomly generated values.

    for(int i = 0; i < numberArray.length; i++){

      System.out.println(numberArray[i]);

     

      }

}

}