Question: Describe an efficient algorithm that, given a set x 1, x 2, . . . ,x n of points on the real line, determines

Describe an efficient algorithm that, given a set 〈x_1, x_{2, . . .} ,x_n〉 of points on the real line, determines the smallest set of unit-length closed intervals that contains all of the given points. Argue that your algorithm is correct.

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