Algorithms Analysis Practice Test

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True or False: An algorithm can solve a problem in an infinite number of steps.

True

False

An algorithm is defined as a finite sequence of well-defined instructions typically used for solving a particular problem. By this definition, an algorithm must terminate after a finite number of steps; if it does not, it cannot be classified as an algorithm.

While there are cases in which specific problem instances might lead to lengthy or complex processes, the core principle remains that an algorithm is expected to yield an output (a solution) within a limited timeframe, generally characterized by a finite number of operations.

Therefore, the assertion that an algorithm can solve a problem in an infinite number of steps is inconsistent with the fundamental properties that define algorithms. This understanding is critical, particularly in areas like computational theory, where finiteness is a key consideration in the analysis of algorithms.

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