Question: In ( unweighted ) activity selection problem, we maximize the number of non - overlapping activities from the input of activities A = { a

In (unweighted) activity selection problem, we maximize the number of non-overlapping activities from the input of activities A={a1, a2,..., an}. Let af be the activity that finishes the earliest. In the correctness proof of the greedy algorithm that solves this problem, we defined:
OPT: an optimal solution that contains af.
S: the set of intervals from A where af and the intervals overlapping with af are excluded.
Which of the following statements is true?

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