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University of Engineering and Technology Vietnam National University Hanoi Design and Analysis of Algorithms Final Exam - 20/12/2019 Duration: 90 minutes (closed-book) Instructions: 1. PLEASE READ THE QUESTIONS CAREFULLY AND ANSWER QUESTION IN CONSECUTIVE ORDER IF POSSIBLE. 2. THE QUESTION PAPER CONSISTS OF 7 QUESTIONS ON 2 PAGES. 3. ANSWER ALL QUESTIONS ON THE QUESTION PAPER. 4. CRYING IS ALLOWED BUT PLEASE DO SO QUIETLY. 5. DO NOT WIPE TEARS ON EXAM PAPER. 6. GOOD LUCK. THE QUESTIONS Question 1. [2.0 marks] Determine TRUE or FALSE for each of following statements. Explain i 1. A greedy algorithm could produce an optimal solution. 2. If T(n) = 9T(n/3) +n then T(n) E 0(n²). an+1 c 0(an)

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University of Engineering and Technology Vietnam National University Hanoi Design and Analysis of Algorithms Final Exam - 20/12/2019 Duration: 90 minutes (closed-book) Instructions: 1. PLEASE READ THE QUESTIONS CAREFULLY AND ANSWER QUESTION IN CONSECUTIVE ORDER IF POSSIBLE. 2. THE QUESTION PAPER CONSISTS OF 7 QUESTIONS ON 2 PAGES. 3. ANSWER ALL QUESTIONS ON THE QUESTION PAPER. 4. CRYING IS ALLOWED BUT PLEASE DO SO QUIETLY. 5. DO NOT WIPE TEARS ON EXAM PAPER. 6. GOOD LUCK. THE QUESTIONS Question 1. [2.0 marks] Determine TRUE or FALSE for each of following statements. Explain i 1. A greedy algorithm could produce an optimal solution. 2. If T(n) = 9T(n/3) +n then T(n) E 0(n²). an+1 c 0(an)

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