Java interval problem

Java interval problem

I want to create a problem that finds the common interval of some periods of hours.
For example if i have the time period: 10.00-12.00 and i have the time period: 11.00-13.00, i want to find the common interval of these two (which in the example is 11.00-12.00).
Which is the best way to do this?
Thanks
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