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A route-planning algorithm for autonomous delivery drones initially uses a brute-force approach to evaluate all possible routes. Which outcome occurs when the number of delivery locations increases substantially?

A)Memory usage decreases linearly.
B)Processing time decreases logarithmically.
C)Processing time increases factorially.
D)Memory usage remains constant.

💡 Explanation

As the number of delivery locations grows, the number of possible routes increases factorially. The brute-force algorithm's runtime therefore grows factorially with the number of locations, because it must examine every possible route. Rather than memory decreasing or time decreasing, the computational cost explodes.

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