Question: Can you design a more efficient algorithm than the one based on brute-force strategy in the lecture slides to solve the closest-pair problem for

Can you design a more efficient algorithm than the one based on 

Can you design a more efficient algorithm than the one based on brute-force strategy in the lecture slides to solve the closest-pair problem for n inputs x, X2,..., xn on the real line if we can use a sorting algorithm of efficiency class O(nlogn)? If you can, explain it and analyze why it is more efficient.

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