Question: 6. Greedy Algorithm {P1, P2, P3, ,Pn} along a real You have a finite set of points P = line. Your task is to

6. Greedy Algorithm {P1, P2, P3, ,Pn} along a real You have a finite set of points P = line. Your task is to find the smallest number of intervals, each of length 2, which would contain all the given points. For example, when P = {5.7, 8.8, 9.1, 1.5, 2.0, 2.1, 10.2}, an optimal solution has 3 intervals [1.5,3.5], [4,6], and [8.5, 10.5] are length-2 intervals such that every element is contained in one of the intervals. Device a greedy algorithm for the above problem and analyze its time complexity. You don't need to prove the correctness of your algorithm.

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