import statistics
from collections import namedtuple
from typing import List, Set

Point = namedtuple('Point', 'x y')


def mbc_ch(points: Set[Point]):
    # Find the point with median x-coordinate, and partition the points on this point
    pm = statistics.median_high(points)

    pl = {point
          for point in points
          if point.x < pm.x}

    pr = {point
          for point in points
          if point.x >= pm.x}

    # Find the bridge over the vertical line in pm