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← Logic & PuzzlesA 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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