April 2024
Intermediate to advanced
832 pages
29h 31m
English
Content preview from Design and Analysis of Algorithms
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Iterative Algorithm Design Issues 75
4.4.2 Computational cost as a function of Problem Size for a range of
Computational Complexities
From Table 4.1, we observe that for problems that exhibit exponential behaviour, only limited input data
size is allowable. Thus, we can solve only very small problems with an algorithm that exhibits exponential
behaviour. Assume that a computer can perform one million operations per second. Then, an algorithm
having exponential behaviour with a suffi ciently large problem size N, will take extremely long time—even
longer than the age of the Earth. On the other extreme, for an algorithm with logarithmic dependence ...
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