Design and Analysis of Algorithm, Past Papers

DESIGN AND ANALYSIS OF ALGORITHM Past Paper B,TEC 2016-17 UOS

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Paper ID: 2012264

B.Tech. Regular Theory Examination (Odd Sem – V) 2016-17
Subject: Design and Analysis of Algorithm
Time: 3 Hours
Max. Marks: 100

Section – A

Section – A

Attempt all parts. All parts carry equal marks. Write answer of each part in short. (10×2=20)

  • a) List out the disadvantages of divide and conquer algorithm.
  • b) What are the fundamental steps involved in algorithmic problem solving?
  • c) Write recursive function to find nth Fibonacci number.
  • d) Define Binary heap.
  • e) Briefly explain the Prim’s algorithm.
  • f) Define principle of optimality.

Section – B

Attempt any five questions from this section. (5×10=50)

  1. Explain the concepts of quick sort method and analyze its complexity with suitable example.
  2. Explain the concept of merge sort with example.
  3. Insert the nodes 15, 13, 12, 16, 19, 23, 5, 8 in empty Red-Black Tree and delete in the reverse order of insertion.
  4. Write short note on Dijkstra’s algorithm shortest paths – Dijkstra’s algorithm shortest path problems.
  5. Write pseudocode for 8 queen problem.
  6. Write non-deterministic algorithm for sorting.
  7. What is backtracking? Write general iterative algorithm for backtracking.
  8. Differentiate NP complete with NP hard.

Section C

  • Instructions: Attempt any 2 questions from this section (2×15=30).
  1. (i) Bellman Ford algorithm statement. (ii) Knapsack problem solution using greedy method.
  2. Traveling salesman problem solution using branch and bound.
  3. Prove that the three coloring problem is NP Complete.

For more information on algorithms and their design and analysis, you can visit GeeksforGeeks.