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Unformatted text preview: CS 373 U Midterm 1 Questions (February 27, 2004) Spring 2004 Write your answers in the separate answer booklet. 1. Multiple Choice: Each question below has one of the following answers. A: Θ(1) B: Θ(log n ) C: Θ( n ) D: Θ( n log n ) E: Θ( n 2 ) X: I don’t know. For each question, write the letter that corresponds to your answer. You do not need to justify your answers. Each correct answer earns you 1 point. Each X earns you 1 4 point. Each incorrect answer costs you 1 2 point. Your total score will be rounded down to an integer. Negative scores will be rounded up to zero. (a) What is n ∑ i =1 lg i ? (b) What is lg n ∑ i =1 i 2 i ? (c) How many decimal digits are required write the n th Fibonacci number? (d) What is the solution of the recurrence T ( n ) = 4 T ( n/ 8) + n log n ? (e) What is the solution of the recurrence T ( n ) = T ( n 3) + 5 n ? (f) What is the solution of the recurrence T ( n ) = 5 T (ceilingleftbig n +13 3 ceilingrightbig + floorleft √ n floorright ) +(10...
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This note was uploaded on 01/22/2012 for the course CS 573 taught by Professor Chekuri,c during the Fall '08 term at University of Illinois, Urbana Champaign.
 Fall '08
 Chekuri,C

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