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courses:cs211:winter2011:journals:chen:chapter_2 [2011/01/25 01:41] – [2.5 A More Complex Data Structure:Priority Queues] zhongccourses:cs211:winter2011:journals:chen:chapter_2 [2011/01/25 01:52] (current) – [2.3 Implementing the Stable Matching Algorithm Using Lists and Arrays] zhongc
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 Refer back to the 1/17 slide for the breakdown of the running time of O(N²) of the the total running time.                                        Refer back to the 1/17 slide for the breakdown of the running time of O(N²) of the the total running time.                                       
  
 +
 +
 +Interesting/Readability: 8  5
  
 ===== 2.4 A Survey of Common Running Times ===== ===== 2.4 A Survey of Common Running Times =====
Line 83: Line 86:
 Independent set of size k. Given a graph,are there k nodes such that no two are joined by an edge? Independent set of size k. Given a graph,are there k nodes such that no two are joined by an edge?
  
 +Note: Summary of running times. P20 slide 1/19
 +
 +
 +Interesting/Readability: 8  5
 ===== 2.5 A More Complex Data Structure:Priority Queues ===== ===== 2.5 A More Complex Data Structure:Priority Queues =====
-Summary:+Motivation: 
 +**After overcoming higher-level obstacles, 
 +lower-level implementation details 
 +can improve runtime.** 
 + 
 +Summary 
 +Priority Queue revisited: 
 + 
 +Maintains a set of elements S 
 +• Each element v ∈ S has a key(v) for its priority 
 + Smaller keys represent higher priorities 
 + Supported operations 
 +• Add, delete elements 
 +• Select element with smallest key 
 + 
 +Implementing data structures: for sorting 
 +If we use unsorted lists: N² -why?   
 + 
 +If we use array: logn*N² 
 + 
 +If we use heaps: NlogN 
 + 
 +Implementation of Heaps: 
 +Know the implementation of the **Heapify-up** and **Heapify-down** with an array based implementation.
  
 +Interesting/Readability: 7  7
 + 
courses/cs211/winter2011/journals/chen/chapter_2.1295919675.txt.gz · Last modified: 2011/01/25 01:41 by zhongc
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