Optimize Brute Force Into Better Solutions

Now that we've covered Coming Up With Brute Force Algorithms With Examples, Dry Run Algorithms With Trace Tables, and Analyze Complexity From Code, we're ready for the key interview move:

Start with something correct, then make it scale.

Brute force is not embarrassing. In interviews, it is often the safest first checkpoint. It proves you understand the problem.

But stopping there can be risky when constraints are large. Optimization is how you turn a working idea into a strong engineering answer.

The goal is not to magically invent the clever solution. The goal is to ask the right questions about the slow part of your current solution.