1(a)
Which are the different methods of solving recurrences. Explain with examples.
10 M
1(b)
Comapare Greedy and dynamic programming approach for algorithm Design. Explain How both can be used to solve Knapsack problem?
10 M
2(a)
Explain the analysis of quick sort and apply the same to sort following data [1 0 7 5 9 1 2 3]
10 M
2(b)
Write single source shortest path algorithm & apply the same for following.
!mage
!mage
10 M
3(a)
Explain string matching with finite automata and apply the same technique to match following pattern
txt [ ] = UNIVERSITY OF MUMBAI
pat [ ]= MBA
txt [ ] = UNIVERSITY OF MUMBAI
pat [ ]= MBA
10 M
3(b)
Comapare Prims & Kruskal's method for finding Minimum spanning Tree find MST for following using prims method.
!mage
!mage
10 M
4(a)
Expalin with example how divide and conquer stratergy is used in binary search?
10 M
4(b)
Solve sum of subsets problem for following
N=6 W={3,5,7,8,9,15} & M =20 Also write the Algorithm for it.
N=6 W={3,5,7,8,9,15} & M =20 Also write the Algorithm for it.
10 M
5(a)
Explain longest common subsequence problem with example.
10 M
5(b)
What is backtracking method? How it is used in graph coloring problem?
10 M
Write a short note any four Q6.(a,b,c,d,e)
6(a)
8 queens problem
5 M
6(b)
Job sequencing with deadlines
5 M
6(c)
Flow shop scheduling
5 M
6(d)
Multistage Graphs
5 M
6(e)
A symptotic Notations
5 M
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