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Logic & Puzzles

A network engineer attempts to prove the uniqueness of a shortest path algorithm by assuming a second, distinct shortest path exists. Which consequence follows?

A)Algorithm converges to local optimum
B)Contradiction reveals initial assumption incorrect
C)The algorithm becomes exponentially complex
D)Path redundancy enhances network stability

💡 Explanation

Assuming two distinct shortest paths exist leads to a contradiction because the algorithm, by definition, finds the absolute shortest path. Therefore, the initial assumption must be incorrect, demonstrated via *reductio ad absurdum*, rather than a characteristic of the algorithm itself or network behavior.

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