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Lecture 23

Lecture 23. CSE 331 Oct 28, 2009. Feedback forms. Please pick one up. You will have last 5 minutes in the class to fill it in. Warning. I am running behind on my topics schedule. I wanted to show some of the cooler stuff. Will not always do COMPLETE proofs. More work for YOU.

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Lecture 23

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  1. Lecture 23 CSE 331 Oct 28, 2009

  2. Feedback forms Please pick one up You will have last 5 minutes in the class to fill it in

  3. Warning I am running behind on my topics schedule I wanted to show some of the cooler stuff Will not always do COMPLETE proofs More work for YOU

  4. Last lecture Convert optimal schedule O to Ô such that Ô has no inversions (a) Exists an inversion (i,j) such that i is scheduled right before j (di > dj) (a.5) Swap i and j to get O’ Exercise: Prove by induction. No consecutive inversion  No inversions Repeat O(n2) times (b) O’ has one less inversion than O (c) Max lateness(O’) ≤ Max lateness(O)

  5. Max lateness(O’) ≤ Max lateness(O) di > dj Same lateness Same lateness O i j t3 t2 t1 O’ j i Lateness of j in O’ ≤ Lateness of j in O Lateness of i in O’ ≤ Lateness of j in O t3 - di Lateness of i in O’ = < t3 - dj = Lateness of j in O

  6. Rest of today Shortest Path Problem http://xkcd.com/85/

  7. Reading Assignment Sec 2.5of [KT]

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