C:\Users\ar114\Documents\NetBeansProjects\ProgrammingExam1_CalebFontenot\src\programmingexam1_calebfontenot\TwoLargerOfThe3.java

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    package programmingexam1_calebfontenot;

    import java.util.Scanner;

    /**
     *
     * @author ar114
     */
    public class TwoLargerOfThe3 {

        public static void main(String[] args) {
            // Define vars
            int _1, _2, _3; // Note to Markou: I find numbers easier to compare in my head than variables, hence my use of them here.
            int firstLargest = 0, secondLargest = 0;

            // Setup scanner
            Scanner input = new Scanner(System.in);
            while (true) {
                // Prompt for input
                System.out.print("Enter 3 numbers: ");
                _1 = input.nextInt();
                _2 = input.nextInt();
                _3 = input.nextInt();

                // Compute!
                if (_1 <= _3 & _2 <= _3) { // Is _3 the largest?
                    firstLargest = _3; // Yes!
                    if (_2 >= _1) { // Is _2 larger than _1?
                        secondLargest = _2; //Then _2 must be the second largest.
                    } else {
                        secondLargest = _1; //Then _1 must be the second largest.
                    }
                }
                if (_3 <= _2 & _1 <= _2) { // Is _2 the largest?
                    firstLargest = _2; // Yes!
                    if (_3 >= _1) { //Is _3 larger than _1?
                        secondLargest = _3; // Then _3 must be the largest.
                    } else {
                        secondLargest = _1; // Then _1 must be the largest.
                    }
                }
                if (_3 <= _1 & _2 <= _1) { // Is _1 the largest?
                    firstLargest = _1; // Yes!
                    if (_3 >= _2) {// Is _3 larger than _2?
                        secondLargest = _3; // Then _3 must be the largest.
                    } else {
                        secondLargest = _2; // Then _2 must be the largest.
                    }
                }
                if (_1 == _2 | _1 == _3 | _2 == _3) {
                    System.out.println("Some numbers equal. Running additional checks...");
                    if (_1 == _2) {
                        if (_1 > _3) { // Is _3 smaller than _1 and _2?
                            firstLargest = _1;
                            secondLargest = _3;
                        }
                    }
                    if (_1 == _3) {
                        if (_3 > _2) { // Is _2 smaller than _1 and _3?
                            firstLargest = _3;
                            secondLargest = _2;
                        }
                    }
                    if (_2 == _3) {
                        if (_3 > _1) { // Is _1 smaller than _2 or _3?
                            firstLargest = _3;
                            secondLargest = _1;
                        }
                    }
                }
                // Output
                System.out.println("The first largest is " + firstLargest + " and the second largest is " + secondLargest);
            }
        }
    }