def find_max_overlapping_segment_endpoints(segment_endpoints):
"""
Finds the maximum number of segment endpoints that overlap with each other.
Args:
segment_endpoints (list[(int, int)]): A list of segment endpoints, where each endpoint is a tuple of (start, end).
Returns:
int: The maximum number of segment endpoints that overlap with each other.
"""
# Sort the segment endpoints by their start coordinate.
sorted_segment_endpoints = sorted(segment_endpoints, key=lambda x: x[0])
# Initialize the maximum overlap count to 0.
max_overlap_count = 0
# Initialize the current overlap count to 0.
current_overlap_count = 0
# Initialize the previous end coordinate to -1.
previous_end_coordinate = -1
# Iterate over the sorted segment endpoints.
for start_coordinate, end_coordinate in sorted_segment_endpoints:
# If the current start coordinate is greater than the previous end coordinate, then we have a new segment that does not overlap with the previous segments.
if start_coordinate > previous_end_coordinate:
# Reset the current overlap count to 1.
current_overlap_count = 1
else:
# Otherwise, the current segment overlaps with the previous segments.
# Increment the current overlap count.
current_overlap_count += 1
# Update the maximum overlap count.
max_overlap_count = max(max_overlap_count, current_overlap_count)
# Update the previous end coordinate.
previous_end_coordinate = end_coordinate
# Return the maximum overlap count.
return max_overlap_count

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