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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 count_intersections(self, line_segments_b):
 """ Count the intersections of two strokes with each other. Parameters line_segments_b : list A list of line segemnts Returns ------- int The number of intersections between A and B. """

        line_segments_a = self.lineSegments

        # Calculate intersections
        intersection_points = []
        for line1, line2 in itertools.product(line_segments_a,
                                              line_segments_b):
            intersection_points += get_segments_intersections(line1, line2)
        return len(set(intersection_points))