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Calculating Events Sync Time

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ama_trig

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Q: I've got 3 events happening in period of 28,29,30 days, each event starts different time in years day[0-365](or actually I know the last time each one did happen), for example 102,109,107 also I know that today is 115(of 365),
1)How to calculate how many days after today it is 3 events are going to happen again?
2)what about the same, for 4 events?
Add. info:
I'm looking Fastest way to do this, at first what I did was to define a loop that incremented today by factor of 1, then calculate the modulus for 3 of them(taking time shift into consideration),when the result for three of them were zero, Bingo!!!, but it was way too slow!
 

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