Question: Two friends are arguing about their algorithms. The first one claims his O(nlogn)-time algorithm is always faster than the second friend's O(n^{2})-time algorithm. To settle

Two friends are arguing about their algorithms. The first one claims his O(nlogn)-time algorithm is always faster than the second friend's O(n^{2})-time algorithm. To settle the issue, they perform a set of experiments. Show that it is possible to find an input n<100 that the o(n^{2})-time algorithm runs faster, and only when n>=100 that the O(nlogn)-time algorithm is faster.

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