Web Reference: Two distinct approaches in this context are known as Brute Force and Greedy. These represent two ends of the algorithmic complexity spectrum, each with its own advantages and limitations. A brute source algorithm is typically an approach to a problem where, given a solution candidate, you can easily identify if the solution is valid or not, and there are a finite (if massive) number of solution candidates. The tradeoff: brute force always finds the optimum, greedy only works when the greedy choice property holds. But when greedy works, it is dramatically faster.
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