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Lecture 04.

Heaps and Heap Sort

  • Time Complexity: 𝛩(nlogn)
  • Space Complexity: 𝛩(1)

Max Heapify

  • Time Complexity: 𝛩(n) (not 𝛩(nlogn))
    • As level goes up, # of nodes cut in half
    • as level L goes up, it takes log(L) times to heapify
  • Space Complexity: 𝛩(1)