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Suppose we are comparing implementations of insertion sort and merge sort on the same machine. For inputs of size n, insertion sort runs in 8n2 steps, while merge sort runs in 64n lg n steps. For which values of n does insertion sort beat merge sort? What is the smallest value of n such that an algorithm whose running time is 100n² runs faster than an algorithm whose running time is 2n on the same machine?
Sagot :
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