Sorting and Divide-and-Conquer

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Presentation transcript:

Sorting and Divide-and-Conquer Hint for Homework 1 Sorting and Divide-and-Conquer

Hint for Problem 1 not work !!!

Hint for Problem 4

Why?

Hint for Problem 6

Hint for Problem 7

Hint for Problem 8 (2) (3)

Longest increasing subsequence

Planar Graph Separator Tarjan-Lipton Theorem (1979)

Application

Example Dijkstra’s algorithm can find the shortest path from s to t in time O((n+m) log n) where n is # of nodes and m is # of edges.

Planar Graph induction Exercise

Running Time

A Search Problem