Using Python object oriented programming, write a class called Interval that represents a one-dimensional open interval on the real line. This main purpose of this class is to simplify overlapping continuous intervals.

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Using Python object oriented programming, write a class called Interval that represents a one-dimensional open interval on the real line. This main purpose of this class is to simplify overlapping continuous intervals. The code below should get you started but there are a lot of missing pieces that you will have to figure out. The API should take a pair of integers as input and respond to theoperator such that >>> a = Interval(1,3) >>>bInterval (2,4) >Interval(5,1e) >>>ab Interval(1,4) >> b+c Interval(2,4), Interval(5, 10)] Note that in the case of non-overlapping intervals, the output should be a list of constituent Intervals. Keep in mind that these are open intervals. Specifically >Interval(2,3)+Interval(1,2) [Interval (2,3), Interval(1,2)] Note that these do not produce a single interval because each interval is open (not closed). The interval endpoints can be negative also (e.g. Interval(-10,-3) is valid). The output does not have to be sorted. This is where good object-oriented design pays off. Using Python object oriented programming, write a class called Interval that represents a one-dimensional open interval on the real line. This main purpose of this class is to simplify overlapping continuous intervals. The code below should get you started but there are a lot of missing pieces that you will have to figure out. The API should take a pair of integers as input and respond to theoperator such that >>> a = Interval(1,3) >>>bInterval (2,4) >Interval(5,1e) >>>ab Interval(1,4) >> b+c Interval(2,4), Interval(5, 10)] Note that in the case of non-overlapping intervals, the output should be a list of constituent Intervals. Keep in mind that these are open intervals. Specifically >Interval(2,3)+Interval(1,2) [Interval (2,3), Interval(1,2)] Note that these do not produce a single interval because each interval is open (not closed). The interval endpoints can be negative also (e.g. Interval(-10,-3) is valid). The output does not have to be sorted. This is where good object-oriented design pays off