Advanced Algorithms End Term: 24 December 2023, Set FDB1 (September 2023 term)

21 more questions in this paper

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1. Q4Based on the above data, answer the given subquestions.2 marks
2. Q5Question 52 marks
3. Q6Choose the correct options3 marks
4. Q7Question 73 marks
5. Q8You have been given a R × C chessboard, with a list of squares cut out. This problem will…2 marks
6. Q9What is the answer if R = C = N and all the squares on the topmost row and rightmost colu…2 marks
7. Q10Consider the following bipartite graph: the set A is composed of elements corresponding t…2 marks
8. Q11What is the number of valid placements of N mutually non-attacking rooks if R = C = N and…2 marks
9. Q12Which DP table entries do we lookup to find Π({a, c, d}, 3)?3 marks
10. Q13Which DP table entries do we lookup to find Π({a, b, c}, 2)?3 marks
11. Q14The three-bonaci numbers are defined as follows (please read the definition carefully, as…1 mark
12. Q15The three-bonaci numbers are defined as follows (please read the definition carefully, as…1 mark
13. Q16The three-bonaci numbers are defined as follows (please read the definition carefully, as…1 mark
14. Q17Question 173 marks
15. Q18Consider the given statements and answer if they are true or false. The worst-case runnin…2 marks
16. Q19Consider the given statements and answer if they are true or false.2 marks
17. Q20Every linear program has a unique optimal solution.2 marks
18. Q21Answer the given subquestions.2 marks
19. Q22Consider the algorithm in the previous question. Does the algorithm always output an opti…2 marks
20. Q23Consider the algorithm in the previous question. Does the algorithm always output a 2- ap…2 marks
21. Q24Recall that the size of an optimal vertex cover is at most twice the size of a maximum ma…2 marks