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Troubles understanding this Interval Scheduling question

Can someone explain how to prove what this question is asking? I'm terrible at proofs and the fact that I don't even understand the hint is very troubling. This is a homework question. Consider the ...
Brainpower2049's user avatar
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Interval scheduling maximization problem (ISMP) variation with flexible start time and common deadline

I'm trying to find an optimal algorithm for ISMP variation, with 2 additional details: the start of any interval can be moved forward and there's a common 'deadline' for all intervals. Given: Set of ...
user175320's user avatar