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Unit 7 · Data Structures and Algorithms Paper 2 CS · December 2022 Shift 1

Directions (Q91–95): For a knapsack problem, P and W are the profits and weights of a set of 7 items:
P = {9, 5, 2, 7, 6, 16, 9}
W = {2, 5, 6, 11, 1, 9, 3}

If a new item (P = 5, W = 2) is added, giving 8 items, and the capacity is 25, then the time of fractional knapsack in this case is ______

Pick an option to check yourself, or open the answer below.

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Correct answer: C. O(24)

Explanation

Fractional knapsack is dominated by sorting the items by ratio, O(n log n). With n = 8: 8 × log₂8 = 24.

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