Problem: Sorting: Compare Method A (Simple) vs. Method B (Complex/Logarithmic). Which saves more time when sorting $\text{10,000}$ cards?
Numerical Proof: Concept: Uses Algorithm Analysis. $O(N^2)$ (Method A) is proven much slower than $O(N \log N)$ (Method B) as the list grows.
The Discovery: You discover that strategy is faster than simple repetition. This power is essential for designing efficient apps and systems.

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