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Finding a time complexity for an algorithm is better than measuring the actual running time for a few reasons:
# Time complexity is unaffected by outside factors; running time is determined as much by other running processes as by algorithm efficiency. # Time complexity describes how an algorithm will scale; running time can only describe how one particular set of inputs will cause the algorithm to perform.
Note that there are downsides to time complexity measurements:
# Users/clients do not care about how efficient your algorithm is, only how fast it seems to run. # Time complexity is ambiguous; two different O(n2) sort algorithms can have vastly different run times for the same data. # Time complexity ignores any constant-time parts of an algorithm. A O(n) algorithm could, in theory, have a constant ten second section, which isn't normally shown in big-o notation.
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