1(a)
Explain the asymptotic notations.
10 M
1(b)
Write an algorithm to find minimum and maximum value using divide and conquer and also derive its complexity.
10 M
2(a)
Explain the concept of multiplying long integers using divide and conquer.
10 M
2(b)
Sort the following numbers using Quick Sort. Also derive the time complexity of Quick Sort.
50, 31,71,81,12,33
50, 31,71,81,12,33
10 M
3(a)
Solve the following Job sequescing with deadlines problem
n=7, Profits (p1, p2, ......, p7) = {3, 5, 20, 18, 1, 6, 30}
Deadlines(d1,d2,......,d7) = {1, 3, 4, 3, 2, 1, 2}
n=7, Profits (p1, p2, ......, p7) = {3, 5, 20, 18, 1, 6, 30}
Deadlines(d1,d2,......,d7) = {1, 3, 4, 3, 2, 1, 2}
10 M
3(b)
Explain Different string matching algorithm.
10 M
4(a)
Find the Minimum Spanning Tree of the following graph using Kruskal's algorithm
10 M
4(b)
Explain flow shop scheduling with example.
10 M
5(a)
Write an algorithm for sum of subsets. Solve the following problem.
  M=30 W={5, 10, 12,13,15,18}
  M=30 W={5, 10, 12,13,15,18}
10 M
5(b)
Find the shortest path from source vertex A using Dijkstra's algorithm
10 M
Write note on (any two)
6(a)
Strasen;s matrix multiplication
10 M
6(b)
8- Queen problem.
10 M
6(c)
Graph coloring
10 M
6(d)
15-puzzle problem
10 M
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