algorithm calculate unbroken set sequence


i am looking an algorithm calculate unbroken set operations sequence. here rudimentary construction sequence.




  1. task 1a finished each 500 hours

  2. task 2a finished each 1000 hours

  3. task 3a finished each 1500 hours



so during t=500, 1a. during t=1000, both 1a 2a, during t=1500 1a 3a, nonetheless 2a 1500 churned 1000. idea.



it definitely easy i tangible time, nonetheless i don't. i have story tasks (eg final [1a+2a] done).



knowing final (eg [1a+2a]) adequate decide:




  • [1a+2a] during t=1000: unbroken [1a+3a] during t=1500

  • [1a+2a] during t=5000: unbroken [1a] during t=5500



is there an algorithm this? looks informed problem (some arrange sieve?) nonetheless i can't seem solution.



also contingency "scale" i indeed have some-more 3 tasks.



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