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CSE 413, Analysis of Algorithms
Fall Semester, 2004
Assignment 3: Data Structures
Due Date
: Sept. 27, 2004 (at the beginning of CSE 413 class)
Note
: The problems in this assignment are quite diﬃcult! Please start working on them as early
as possible, and ask questions if clariFcations or further explanations are needed. The techniques
discussed in class on adding and maintaining additional information in data structures are essential
for the solutions of problems 2, 3, and 4.
1. Given a minheap
H
of
n
keys stored in an array and an integer
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Unformatted text preview: k ≥ 1, design an O ( k log k ) time algorithm to Fnd the kth smallest key in H . Note that k can be much smaller than n , and thus you cannot assume that log k = Θ(log n ) in general. ( 20 points ) Hint : Your algorithm may make use of a heap data structure, say H . What would your heap H contain and how would your algorithm make use of it? 2. Exercise 4.16, page 88. ( 20 points ) 3. Exercise 4.26, page 89. ( 20 points ) 4. Exercise 4.28, page 89. ( 20 points ) Total Points : 80...
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This note was uploaded on 01/06/2012 for the course MANAGEMENT 000 taught by Professor 游啟璋 during the Spring '11 term at National Taiwan University.
 Spring '11
 游啟璋

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