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NPTEL Design and analysis of algorithms Assignment
- Asymptotic complexity, O() notation
- Sorting and search
- Algorithms on graphs: exploration, connectivity, shortest paths, directed acyclic graphs, spanning trees
- Design techniques: divide and conquer, greedy, dynamic programming
- Data structures: heaps, union of disjoint sets, search trees
- Intractability
Next Week Assignment Answers
This course can have Associate in Nursing unproctored programming communication conjointly excluding the Proctored communication, please check announcement section for date and time. The programming communication can have a weightage of twenty fifth towards the ultimate score.
- Assignment score = 25% of average of best 8 assignments out of the total 12 assignments given in the course.
- ( All assignments in a particular week will be counted towards final scoring – quizzes and programming assignments).
- Unproctored programming exam score = 25% of the average scores obtained as part of Unproctored programming exam – out of 100
- Proctored Exam score =50% of the proctored certification exam score out of 100
UNPROCTORED PROGRAMMING EXAM SCORE >=10/25 AND PROCTORED EXAM SCORE >= 20/50.
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Suppose we obtain the following BFS tree rooted at node D for an undirected graph with vertices {A,B,C,D,E,F,G,H}.
Which of the following cannot be an edge in the original graph?
We are interested in topological orderings of the following DAG which satisfy the constraint that exactly one of the following conditions holds: (a) 9 appears after 7, or (b) 2 appears before 4. How many such orderings are there?
An intricate 3D artwork requires 10 different items, labelled {A,B,C,D,E,F,G,H,I,J} to be stuck in place. The layout requires the following constraints to be met.
- A must be stuck on top of F
- B must be stuck on top of E and I
- C must be stuck on top of F
- D must be stuck on top of J
- E must be stuck on top of D
- F must be stuck on top of B and G
- G must be stuck on top of E and I
- H must be stuck on top of A and C
- I must be stuck on top of J
Each piece requires a day to dry after sticking. A piece can be stuck on top of another piece only if the earlier piece has dried.
What is the minimum number of days required to complete assembling the artwork?