Events's time

from datetime import datetime

def parse_time(time_str):
    return datetime.strptime(time_str, "%H:%M")

def find_overlap(event1, event2):
    start1, end1 = map(parse_time, event1)
    start2, end2 = map(parse_time, event2)

    if max(start1, start2) <= min(end1, end2):
        return True, max(start1, start2).strftime("%H:%M"), min(end1, end2).strftime("%H:%M")
    return False

def find_overlap_multiple(events):
    events = sorted(events, key=lambda x: parse_time(x[0]))
    start, end = parse_time(events[0][0]), parse_time(events[0][1])

    for event in events[1:]:
        event_start, event_end = map(parse_time, event)
        start, end = max(start, event_start), min(end, event_end)
        if start > end:
            return False

    return True, start.strftime("%H:%M"), end.strftime("%H:%M")

print(find_overlap(["02:15", "04:00"], ["04:00", "06:00"]))
print(find_overlap(["01:00", "02:35"], ["01:25", "06:00"]))
print(find_overlap(["10:15", "11:15"], ["14:30", "16:40"]))
print(find_overlap_multiple([["01:00", "03:00"], ["02:00", "04:00"], ["02:30", "05:00"]]))