Hello C++ Question Design and implement a complete C++ program that will • read

Question

Hello C++ Question

Design and implement a complete C++ program that will

• read a series of integers (greater than 0) from a file (via Linux redirection) and for each integer display (to the screen)

the integer

the number of steps it takes to reach 1

the largest value in the sequence and its position

NOTES:

• Assume that all input values in the data file will be integers greater than 0.

• When constructing data files, separate each integer with whitespace. Each line in the data file should be terminated with a linefeed.

If the first number in a sequence is a positive integer, x Let ao x, an is defined as follows if an is even, then an+1 an/2 if an is odd, then an*1 3 *an+ 1 Then there exists an integer k, such that ak 1 For example, if: 75, then k = 14 and the numbers in the sequence are: 75, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1. The largest number in the sequence is 340 and it is a position 4 in the sequence (assuming 75 is at position 1

Explanation / Answer

#include<iostream>
#include<fstream>

using namespace std;

int main(){

   int n;
   int a;
   ifstream fin;
   fin.open("input54.txt");

   if (!fin){
       cout << "Error opening file " << endl;
   }
   while (fin >> a){
       int count = 2;
       int max = a;
       int index = 1;
       int temp = a;
       while(a != 1){
          if (a % 2 == 0)
             a = a/2;
          else
             a = 3*a + 1;
          if (a > max){
             max = a;
             index = count;
          }
          count++;
       }
       cout << "Starting at " << temp << " it takes " << count << " steps to reach 1" << endl;
       cout << "The largest number in the series is " << max << " at position " << index << endl;
   }
   fin.close();
   return 0;
}

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