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Unformatted text preview: CS 373: Combinatorial Algorithms, Fall 2000 Homework 4 (due October 26, 2000 at midnight) Name: Net ID: Alias: U 3 / 4 1 Name: Net ID: Alias: U 3 / 4 1 Name: Net ID: Alias: U 3 / 4 1 Homeworks may be done in teams of up to three people. Each team turns in just one solution, and every memeber of a team gets the same grad. Since 1unit graduate students are required to solve problems that are worth extra credit for other students, 1unit grad students may not be on the same team as 3/4unit grad students or undergraduates. Neatly print your name(s), NetID(s), and the alias(es) you used for Homework 0 in the boxes above. Please also tell us whether you are an undergraduate, 3/4unit grad student, or 1unit grad student by circling U, 3 / 4 , or 1, respectively. Staple this sheet to the top of your homework. RequiredProblems 1. (10 points) A certain algorithms professor once claimed that the height of an nnode Fibonacci heap is of height O (log n ) . Disprove his claim by showing that for a positive integer n , a sequence of Fibonacci heap operations that creates a Fibonacci heap consisting of just one tree that is a (downward) linear chain of n nodes. 2. (20 points) Fibonacci strings are defined as follows: F 1 = b F 2 = a F n = F n 1 F n 2 for all n > 2 where the recursive rule uses concatenation of strings, so...
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This note was uploaded on 12/15/2009 for the course 942 cs taught by Professor A during the Spring '09 term at University of Illinois at Urbana–Champaign.
 Spring '09
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