IGNOU BCS 42 SOLVED ASSIGNMENT 2024 2025

Ques 1.

For the function defined by

                              show that

(i)   

(ii) 

(iii)

Ques 2.

Find the optimal solution for the knapsack instance n=7 and M=15

(P₁, P_{2__________________________________}P_n) = (12, 4, 14, 8, 9, 20, 3)

(W₁, W₂,________________________________ W_n) = (3, 2, 5, 6, 4, 1, 7)

Ques 3.

Apply Kruskal's Algorithm on the following graph to find minimum cost spanning tree

Ques 4.

Apply Dijkastra's Algorithm to find the shortest path from source vertex 'A' to all other vertices for following graph.

Ques 5.

Analyze best case, average case, and worst-case time complexities of following algorithms with the help of suitable examples.

(i) Insertion sort

(ii) Quick sort

(iii) Binary search

(iv) Selection sort

Ques 6.

Multiply 2146782 x 0422812 using divide and conquer technique(use karatsuba method).

Ques 7.

Explain DFS and BDS graph traversal algorithms with the help of a suitable example.

Ques 8.

Write recurrence relations for matrixmultiplication using Strassen's method andsolve it using the Master method.

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