Tim Roughgarden Introduction Merge Sort (Analysis ) Design and Analysis of Algorithms I.

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Presentation transcript:

Tim Roughgarden Introduction Merge Sort (Analysis ) Design and Analysis of Algorithms I

Tim Roughgarden Running Time of Merge Sort

Tim Roughgarden Proof of claim (assuming n = power of 2):

Template vertLeftWhite2 A constant number (independent of n). Roughly how many levels does this recursion tree have (as a function of n, the length of the input array)?

Tim Roughgarden Proof of claim (assuming n = power of 2):

Template vertLeftWhite2 2 j and 2 j, respectively.

Tim Roughgarden

Running Time of Merge Sort