Question

But what about the Van Eck Sequence 0, 0, 1, 0, 2, 0, 2, 2, 1, 6, 0, 5, 0, 2, ...? Let's develop a program that will produce and output the first 100 values in the sequence! Prompt the user for the first value in the sequence Generate the next 99 values in the sequence following the sequencing rules Store all of the first 100 values of the sequence in an integer array Output each of the 100 values to the screen, with tabs separating each value Output each of the 100 values to a text file, with spaces separating each value Please submit only your CPP file c++

Answer 1

Program:

#include <iostream>

#include <fstream>

using namespace std;

// function which will tell us if the element is present inside vanEckSequence[] or not

int isPresent(int vanEckSequence[], int element, int index)

{

    for (int i = index; i >= 0; i--)

    {

        if (vanEckSequence[i] == element)

        {

            return i;

        }

    }

    return -1;

}

int main()

{

    int vanEckSequence[100]; // create an integer array to store all of the first 100 values of the sequence

    ofstream file;

    // VanEckSequence.txt is the name of the text file to which each of the 100 values would be written

    file.open("VanEckSequence.txt");

    // Prompt the user for the first value in the sequence

    cout << "Enter the first value in the sequence: ";

    cin >> vanEckSequence[0];

    // loop to generate the next 99 values in the sequence following the sequencing rules

    // and to store all of the first 100 values of the sequence in an integer array

    for (int i = 1; i < 100; i++)

    {

        int found = isPresent(vanEckSequence, vanEckSequence[i - 1], i - 2);

        if (found == -1)

        {

            vanEckSequence[i] = 0;

        }

        else

        {

            vanEckSequence[i] = i - 1 - found;

        }

    }

    for (int i = 0; i < 100; i++)

    {

        // Output each of the 100 values to the screen, with tabs separating each value

        cout << vanEckSequence[i] << "   ";

        // Output each of the 100 values to a text file, with spaces separating each value

        file << vanEckSequence[i] << " ";

    }

    return 0;

}

Note: Please refer to the screenshot of the code to understand the indentation of the code.

Screenshot of the code:

Output and Input:

VanEckSequence.txt: