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In the weighted interval scheduling problem, we are given n jobs, each of which has a start time, finish time, and weight. We say that

In the weighted interval scheduling problem, we are given n jobs, each of which has a start
time, finish time, and weight. We say that two jobs are compatible if they do not overlap in time. We
want to find the subset of compatible jobs with the maximum weight. In the figure below, the numbers
in the rectangles represent the job weight.

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