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Why do you think most real-world sorting (i.e., C++ Sort) implementations use some form of quick sort? When inserting an entry into a binary heap,

  1. Why do you think most real-world sorting (i.e., C++ Sort) implementations use some form of quick sort?
  2. When inserting an entry into a binary heap, we must perform reheapification. What is the purpose and complexity of this process?

  3. Briefly explain what it means for a graph to be: A. Connected? B. Acyclic? C. Directed? D. Simple? E. Weighted?
  4. What is a reason for using an adjacency matrix instead of an adjacency list to represent a graph?

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