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Download AKTU B-Tech 5th Sem 2015-2016 Design And Analysis Of Algorithms Ecs 502 Question Paper

Download AKTU (Dr. A.P.J. Abdul Kalam Technical University (AKTU), formerly Uttar Pradesh Technical University (UPTU) B-Tech 5th Semester (Fifth Semester) 2015-2016 Design And Analysis Of Algorithms Ecs 502 Question Paper

This post was last modified on 29 January 2020

This download link is referred from the post: AKTU B-Tech Last 10 Years 2010-2020 Previous Question Papers || Dr. A.P.J. Abdul Kalam Technical University


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Printed Pages: 677

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ECS-502

(Following Paper ID and Roll No. to be filled in your Answer Book)

Paper ID :110512 Roll No.

B.Tech.

(SEM. V) THEORY EXAM. 2015-16

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DESIGN AND ANALYSIS OF ALGORITHMS

[Time: 3 hours] [Maximum Marks: 100]

Section-A

  1. Attempt all parts. All parts carry equal marks. Write answer of each part in short. (10x2=20)
    1. Why should we do asymptotic analysis of algorithms? Explain.
    2. Order the following expressions by their asymptotic growth and justify your answer 2n, n!, (log n)!, n3, 2log2n, 22n, nlog log n, en
    3. How can you modify Quick sort algorithm to search an item in a list?
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    5. What are all pairs shortest path?
    6. Define Convex Hull.
    7. Discuss various properties of Binomial Tree
    8. What are the steps to design an algorithm?
    9. Prove that red-black tree with n internal nodes has height at most 2log2(n+1)
    10. --- Content provided by FirstRanker.com ---

    11. Prove that the maximum degree of n-node in a binomial tree is log2n.
    12. What do you understand by ‘stable' sort? Name two stable sort algorithms.
    13. Define Greedy Approach.

Section-B

Attempt any five questions from this section. (5x10=50)

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  1. Explain insertion in Red Black Tree. Show steps for inserting 9,8,7,6,5,4,3,2, & 1 into empty RB tree.
  2. Show all the steps of Strassen's matrix Multiplication algorithm to multiply the following matrices X = 1548 and Y = 9698
  3. Define Dynamic programming. How Dynamic Programming approach is used to find the shortest path? Illustrate with an example.
  4. Find optimal solution to the Fractional Knapsack instances n= 7 and Knapsack capacity M = 15 Where profits and weights are as follows (p1, p2, ......p7) = (10,5,15,7,6,18,3) & (w1, w2......w7) = (2,3,5,7,1,4,1) respectively
  5. Construct the string- matching automaton for the pattern P=aabab and illustrate its operation on the text string T=aaababaabaabaab.
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  7. Illustrate the operation of heap sort on the array A=(6,1,2,4,3,5,7,9,8,0)
  8. Find an LCS for the sequences. X={x1, x2 ......Xm} and Y={y1,y2.....yn}. Also show that it requires O (m+n) time.
  9. Write short note on Fast Fourier Transform (FFT).

Section-C

Attempt any two questions from this section. (2x15=30)

  1. Attempt both :
    1. Why the statement "The running time of algorithm A is at least O (n2) is meaningless"? Explain.
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    3. What is the procedure of partition (A, p, r) in Quick Sort and also define the complexity of Quick Sort.
  2. What do you mean by Branch & Bound? How TSP can be solve using this approach.
  3. Attempt both :
    1. Discuss the relationship between the class P, NP, NP- complete and NP- hard with suitable example of each class.
    2. Define Approximation algorithms. What is Approximation ratio? Give an Approximation algorithm for the Travelling Salesman
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This download link is referred from the post: AKTU B-Tech Last 10 Years 2010-2020 Previous Question Papers || Dr. A.P.J. Abdul Kalam Technical University

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