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Unformatted text preview: Sabancı University Faculty of Engineering and Natural Sciences CS301 – Algorithms Homework 1 Due: October 13, 2009 (17:40 - Recitation @ FENS G035) PLEASE NOTE : • Provide only the requested information and nothing more. Unreadable, unintelligible and irrelevant answers will not be considered. • You can collaborate with your friends and discuss the solutions of the problems. However you have to write down the solutions on your own. • Plagiarism will not be tolerated. • You don’t have to typeset your answers but feel free to do so if you want to. • Please hand in the hard copies of your answer sheets to TAs at the beginning of the recitation hour on October 13, 2009. Question 1) In each of the following situations, indicate whether f ( n ) = o ( g ( n )), f ( n ) = ω ( g ( n )) or f ( n ) = Θ( g ( n )): f ( n ) g ( n ) (a) n 3 n + 3 10 (b) n . 125 n . 126 (c) n log n n log(log n ) (d) 3 n 1 . 001 log n n log( n 4 ) (e) 3 n log( n !) + ( n 2 + 3) n 2 log( n ) (f) 2 n 3 n...
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- Spring '10