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Solve the following problem using Python, implementing the functions described below, one line at a time
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Description:
 def intersection(self, other):
 """ Return the intersection between this time interval and the given time interval, or ``None`` if the two intervals do not overlap. :rtype: :class:`~aeneas.exacttiming.TimeInterval` or ``NoneType`` """

        relative_position = self.relative_position_of(other)
        if relative_position in [
            self.RELATIVE_POSITION_PP_C,
            self.RELATIVE_POSITION_PI_LC,
            self.RELATIVE_POSITION_PI_LG,
            self.RELATIVE_POSITION_PI_CG,
            self.RELATIVE_POSITION_IP_B,
            self.RELATIVE_POSITION_II_LB,
        ]:
            return TimeInterval(begin=self.begin, end=self.begin)
        if relative_position in [
            self.RELATIVE_POSITION_IP_E,
            self.RELATIVE_POSITION_II_EG,
        ]:
            return TimeInterval(begin=self.end, end=self.end)
        if relative_position in [
            self.RELATIVE_POSITION_II_BI,
            self.RELATIVE_POSITION_II_BE,
            self.RELATIVE_POSITION_II_II,
            self.RELATIVE_POSITION_II_IE,
        ]:
            return TimeInterval(begin=other.begin, end=other.end)
        if relative_position in [
            self.RELATIVE_POSITION_IP_I,
            self.RELATIVE_POSITION_II_LI,
            self.RELATIVE_POSITION_II_LE,
            self.RELATIVE_POSITION_II_LG,
            self.RELATIVE_POSITION_II_BG,
            self.RELATIVE_POSITION_II_IG,
        ]:
            begin = max(self.begin, other.begin)
            end = min(self.end, other.end)
            return TimeInterval(begin=begin, end=end)
        return None