NPTEL Design and analysis of algorithms Assignment 3 Answer 2023
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Table of Contents
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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- A connected undirected graph G has 2775 edges. What can we say about n, the number of vertices in G?
- Answer: 75 ≤ n ≤ 2775
- An airline serves 1000 cities and runs 5500 direct flights each day between these cities. Which of the following is a good data structure to represent the collection of flights?
- Answer: A 1000 × 1000 array A, where A[i][j] = 1 if there is a direct flight from city i to city j and 0 otherwise.
- Suppose we obtain the following BFS tree rooted at node J for an undirected graph with vertices {A,B,C,D,E,F,G,H,I,J,K}.
Which of the following cannot be an edge in the original graph?
- Answer: (A,D)
- We are interested in topological orderings of the following DAG which satisfy the constraint that whenever 9 appears after 8, 2 must appear after 4. How many such orderings are there?
- Answer: 10
- Applying for permits to put up a factory is an 11 step process. Some steps depend on others, as described below.
- Step 1 must be completed before steps 3 and 4 start.
- Step 2 must be completed before steps 3, 6, and 7 start.
- Step 3 must be completed before step 7 starts.
- Step 4 must be completed before step 5 starts.
- Step 5 must be completed before step 7 starts.
- Step 7 must be completed before steps 8 and 9 start.
- Step 9 must be completed before steps 10 and 11 start.
Each step takes a week to complete. What is the minimum number of weeks required to get all the permits in place?
- Answer: 8