/**
 * A program that computes and displays several 3N+1 sequences.  Starting
 * values for the sequences are input by the user.  Terms in the sequence 
 * are printed in columns, with five terms on each line of output.
 * After a sequence has been displayed, the number of terms in that 
 * sequence is reported to the user.
 */
public class ThreeN2 {


    public static void main(String[] args) {

        System.out.println("This program will print out 3N+1 sequences");
        System.out.println("for starting values that you specify.");
        System.out.println();

        int K;   // Starting point for sequence, specified by the user.
        do {
            System.out.println("Enter a starting value;");
            System.out.print("To end the program, enter 0: ");
            K = TextIO.getlnInt();   // get starting value from user
            if (K > 0)               // print sequence, but only if K is > 0
                print3NSequence(K);
        } while (K > 0);          // continue only if K > 0

    } // end main


    /**
     * print3NSequence prints a 3N+1 sequence to standard output, using
     * startingValue as the initial value of N.  It also prints the number 
     * of terms in the sequence. The value of the parameter, startingValue, 
     * must be a positive integer.
     */
    static void print3NSequence(int startingValue) {

        int N;       // One of the terms in the sequence.
        int count;   // The number of terms found.
        int onLine;  // The number of terms that have been output
        //     so far on the current line.

        N = startingValue;   // Start the sequence with startingValue;
        count = 1;           // We have one term so far.

        System.out.println("The 3N+1 sequence starting from " + N);
        System.out.println();
        System.out.printf("%8d", N);  // Print initial term, using 8 characters.
        onLine = 1;        // There's now 1 term on current output line.

        while (N > 1) {
            N = nextN(N);  // compute next term
            count++;   // count this term
            if (onLine == 5) {  // If current output line is full
                System.out.println();  // ...then output a carriage return
                onLine = 0;      // ...and note that there are no terms 
                //               on the new line.
            }
            System.out.printf("%8d", N);  // Print this term in an 8-char column.
            onLine++;   // Add 1 to the number of terms on this line.
        }

        System.out.println();  // end current line of output
        System.out.println();  // and then add a blank line
        System.out.println("There were " + count + " terms in the sequence.");

    }  // end of print3NSequence


    /**
     * nextN computes and returns the next term in a 3N+1 sequence,
     * given that the current term is currentN.
     */
    static int nextN(int currentN) {
        if (currentN % 2 == 1)
            return 3 * currentN + 1;
        else
            return currentN / 2;
    }  // end of nextN()


} // end of class ThreeN2