Quiz 10

1. Do not start until you are instructed to do so!
2. You will have 20 minutes once the proctor says to start.
3. You will have brief additional time after we stop to scan and submit your solutions.


4. Just before the quiz...
   1. Have a fully-charged smartphone and laptop, and still plug both in if possible
   2. Log into Gradescope on your phone
   3. Change the screen timeout setting on your phone to never, so your screen doesn't go black if you don't interact with your screen for a while.
      • iPhones: Settings / Display & Brightness / Auto-Lock / Never
      • Android: Settings / Display / Screen timeout / 10 minutes (or the maximum amount of time)
   4. Turn on Do Not Disturb (or otherwise turn off all notifications).
   5. Position your webcam so we can see:
      • Your desk
      • The paper you are working on
      • Your writing utensil(s)
      • Both of your hands
      • Your phone


5. During the quiz:
   1. You may not ask questions during the exam.
      • If you are unsure how to interpret a problem, take your best guess.
      • If you feel a question is unfair because you could not ask a question about it, please email the instructor after the quiz and describe your concern. (We are working hard to make the questions extra clear this year, but we want to know when we fail.)
   2. You may not touch your laptop or webcam.
      • This includes muting yourself at any point; the proctors may mute you though.
   3. All of these must be visible at all times:
      • Your desk
      • The paper you are working on
      • Your writing utensil(s)
      • Both of your hands
      • Your phone, with the quiz webpage
   4. For any tech fails (laptop or internet stops working, etc.):
      1. Stop taking the quiz
      2. Email the instructor (rileyrd@cmu.edu) right away
      3. We will reply soon to set up a 1-on-1 oral quiz with the course faculty


6. After the quiz:
   1. Follow all proctor instructions on how to end the quiz.
   2. If you finish early, wait patiently until the end of the quiz. (Note: Don't use your phone...)
   3. Keep everything in view (as noted above) until the proctor calls "time".
   4. When instructed, use your phone to scan your quiz and submit the PDF to Gradescope.
   5. After submitting to Gradescope, hold your phone up to the webcam to show the receipt.
   6. Even then, remain in quiz mode until the proctor calls "all clear"

public class Heap<DataType extends Comparable<DataType>> {
    ArrayList<DataType> h = new ArrayList<DataType>();

    public Heap() {
        // To make sure the 0th element isn't used.
        h.add(null);
    }

    public void add(DataType item) {
        h.add(item);
        for (int idx = h.size() - 1; idx > 1; idx = idx / 2) {
            if (h.get(idx).compareTo(h.get(idx / 2)) > 0) {
                DataType t = h.get(idx);
                h.set(idx, h.get(idx / 2));
                h.set(idx / 2, t);
            }
        }
    }
}

public DataType removeMax() {
    // Save a copy of the largest item
    DataType ret = 
    
    // Remove the appropriate node from the bottom
    // and set its value to be at the root of the tree
    

    
    

    // Heapify-down
    int idx = 1;
    while (idx * 2 + 1 < h.size()) {
        DataType self = 
        DataType left = 
        DataType right = 

        if (self.compareTo(left) < 0 && left.compareTo(right) > 0) {
            



        } else if (self.compareTo(right) < 0 && right.compareTo(left) > 0) {
            



        }
        else {
            break;
        }
    }
    return ret;
}