PS3 FAQ

• What is the "top-down algorithm" in 3 (a)?

  That's the algorithm we talked about in class, using Heapify-Up to insert each key.

• What is the input to the bottom-up algorithm?

  The algorithm takes as input an array that contains the keys given, in that order.

• What is "conceptual complexity" referred to in 3 (c)?

  "Conceptual complexity" is how hard each algorithm is to understand and implement.

• How can I analyze the runtime of the bottom-up algorithm?

One way that may help you is to kind of visualize which elements you're "touching" in each iteration of the for and the while loop. So, draw a heap and mark which elements are looked at during processing.