q1-f2009

q1-f2009 - Introduction to Algorithms Massachusetts...

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Introduction to Algorithms March 11, 2009 Massachusetts Institute of Technology 6.006 Spring 2009 Professors Srini Devadas and Constantinos (Costis) Daskalakis Quiz 1 Quiz 1 Do not open this quiz booklet until directed to do so. Read all the instructions on this page. When the quiz begins, write your name on every page of this quiz booklet. You have 120 minutes to earn 100 points. Do not spend too much time on any one problem. Read them all through first, and attack them in the order that allows you to make the most progress. This quiz booklet contains 7 pages, including this one. Two extra sheets of scratch paper are attached. Please detach them before turning in your quiz at the end of the exam period. This quiz is closed book. You may use one 8 1 2 00 × 11 00 or A4 crib sheet (both sides). No calculators or programmable devices are permitted. No cell phones or other communications devices are permitted. Write your solutions in the space provided. If you need more space, write on the back of the sheet containing the problem. Pages may be separated for grading. Do not waste time and paper rederiving facts that we have studied. It is sufficient to cite known results. Show your work, as partial credit will be given. You will be graded not only on the correct- ness of your answer, but also on the clarity with which you express it. Be neat. Good luck! Problem Parts Points Grade Grader 1 3 10 2 2 20 3 1 15 4 1 15 5 1 20 6 2 20 Total 100 Name: [1 point] Friday Recitation: Krzysztof 11 AM Alex 12 PM Zoran 3 PM Rishabh 4 PM
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6.006 Quiz 1 Name 2 Problem 1. Asymptotic orders of growth [9 points] (3 parts) For each of the three pairs of functions given below, rank the functions by increasing order of growth; that is, find any arrangement g 1 ,g 2 ,g 3 of the functions satisfying g 1 = O ( g 2 ) , g 2 = O ( g 3 ) .
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q1-f2009 - Introduction to Algorithms Massachusetts...

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