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23. Consider the following alternative greedy procedure for finding a maximum set of non-overlapping tasks for the Task Selection problem. Sort the tasks In order
23. Consider the following alternative greedy procedure for finding a maximum set of non-overlapping tasks for the Task Selection problem. Sort the tasks In order of increasing duration. Initialize S = ( to be the set of selected non-overlapping tasks. At each round, consider the task t of least duration that has yet to be considered in a previous round. If t does not overlap with any activity in S, then add t to S. Otherwise, continue to the next task. Prove or disprove that this procedure will always return a set (namely S) that consists of a maxiumum set of non-overlapping tasks
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