Differentiate between Polynomial-time and exponential-time algorithms. Give an example of one problem each for these two running times.

Polynomial-time algorithms and exponential-time algorithms differ significantly in their efficiency and scalability. A polynomial-time algorithm has a running time that can be expressed as \(O(n^k)\), where \(n\) is _________ _____ _______ ____ ________ _____ ________ _____ ___ ___ _______ ____.
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