Question Paper: Analysis of Algorithms : Question Paper Dec 2014 - Computer Engineering (Semester 4) | Mumbai University (MU)
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## Analysis of Algorithms - Dec 2014

### Computer Engineering (Semester 4)

TOTAL MARKS: 80
TOTAL TIME: 3 HOURS
(1) Question 1 is compulsory.
(2) Attempt any three from the remaining questions.
(3) Assume data if required.
(4) Figures to the right indicate full marks.
1 (a) Write an algorithm to find minimum and maximum value using divide and conquer and also drive its complexity.(10 marks) 1 (b) To sort the given set of number using insertion sort and also show the result of each pass.
<11, 7, 17, 3, 9, 29, 85, 9>
(10 marks)
2 (a) Find an optional solution to the knapsack instance n=7 m=15, Profit = {10, 5, 15, 7, 6, 18, 3}
Weight = {2, 3, 5, 7, 1, 4, 1}
(10 marks)
2 (b) Explain optimal storage on tape with example.(10 marks) 3 (a) Find a minimum cost path from 1 to 9 in the given graph using dynamic programming.
(10 marks)
3 (b) Find the path of travelling sales person problem of given graph.
(10 marks)
4 (a) To generate the Huffman code for given set of frequencies.
1, 1, 2, 3, 4, 8, 13, 21
(10 marks)
4 (b) To implement the Knuth-Morris-Pratt, string matching algorithm.(10 marks) 5 (a) To find MST of following graph using Prim's and Kruskal's algorithm.
(10 marks)
5 (b) Explain flow shop scheduling using suitable data.(10 marks)

### Write notes on: (any two): -

6 (a) N-Queen problem.(10 marks) 6 (b) Randomized Algorithm(10 marks) 6 (c) Tries(10 marks) 6 (d) The 15 Puzzle problem.(10 marks)