The problem: ↵
say that we have M tasks that we MUST execute, for each task i you can execute it from Xi to Yi (an interval of hours)↵
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and you must execute each task for a minimum of X hours and X <=(Yi-Xi+1)↵
(those X hours must be contiguous)↵
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input: X, M and (X,Y) for each task.↵
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each cpu can execute at most one task in the same time.↵
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output: give me the minimum number of cpus neeeded an the tasks used by each cpu.↵
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(I got a solution for M<22 and number of hours and X is small like binary search on number of cpus and dp bitmask to check if there is a solution) ↵
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complexity is high! how we can do better? for bigger M↵
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feel free to say every idea that you have for any constraint.
say that we have M tasks that we MUST execute, for each task i you can execute it from Xi to Yi (an interval of hours)↵
↵
and you must execute each task for a minimum of X hours and X <=(Yi-Xi+1)↵
(those X hours must be contiguous)↵
↵
input: X, M and (X,Y) for each task.↵
↵
each cpu can execute at most one task in the same time.↵
↵
output: give me the minimum number of cpus neeeded an the tasks used by each cpu.↵
↵
complexity is high! how we can do better? for bigger M↵
↵
feel free to say every idea that you have for any constraint.