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Dec 16th, 2017
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  1. BUILD-HEAP(A)
  2. heap-size[A] ← length[A]
  3. for i ← length[A]/2 downto 1
  4. do HEAPIFY(A, i)
  5.  
  6. lg n lg n
  7. ∑ n/(2^h+1)*O(h) = O(n* ∑ O(h/2^h))
  8. h=0 h=0
  9.  
  10. ∑ k*x^k = X/(1-x)^2
  11. k=0
  12. Putting x=1/2, ∑h/2^h = (1/2) / (1-1/2)^2 = 2
  13. h=0
  14.  
  15. lg n ∞
  16. O(n* ∑ O(h/2^h)) = O(n* ∑ O(h/2^h)) = O(n)
  17. h=0 h=0
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