Question: Question 5 (a) Show how to use the Master Theorem to solve recurrence relations. [4 marks] ------------------------------------------------------------------------------------------------------ Question 5 (b) Use the Master Theorem to

Question 5

(a) Show how to use the Master Theorem to solve recurrence relations. [4 marks]

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Question 5 (b) Use the Master Theorem to solve the following recurrence relation:

T(n) = 8T(n/2) + n2 [4 marks]

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(c) Use dynamic programming to solve the following knapsack problem:-

Weights and values of the items are given in the following pairs:

(5 kg, 20), (2 kg, 12), (4 kg, 14), (3 kg, 11), (1 kg, 8), where the knapsack capacity is 7 kg.

[7 marks]

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