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 Ig n steps. For which values of n does insertion sort beat merge sort?

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1 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?
Transcribed Image Text:1 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?
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