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import unittest
import timeit
# Solution that uses O(n) space to store the result.
def not_in_place(xs):
xs.sort()
result = [xs[0]]
for ca, cb in xs[1:]:
pa, pb = result[-1]
if ca <= pb:
result[-1] = (pa, max(pb, cb))
else:
result.append((ca, cb))
return result
# Solution that uses O(1) space to store the result.
def in_place(xs):
xs.sort()
i = 0
j = i + 1
while j < len(xs):
pa, pb = xs[i]
ca, cb = xs[j]
if ca <= pb:
xs[i] = (pa, max(pb, cb))
del xs[j]
else:
i = j
j += 1
return xs
def test_nip():
inputs = [
[(1, 3), (2, 4)],
[(5, 6), (6, 8)],
[(1, 8), (2, 5)],
[(1, 3), (4, 8)],
[(1, 4), (2, 5), (5, 8)],
[(5, 8), (1, 4), (6, 8)],
[(1, 10), (2, 5), (6, 8), (9, 10), (10, 12)],
[(0, 1), (3, 5), (4, 8), (10, 12), (9, 10)],
]
for x in inputs:
not_in_place(x)
def test_ip():
inputs = [
[(1, 3), (2, 4)],
[(5, 6), (6, 8)],
[(1, 8), (2, 5)],
[(1, 3), (4, 8)],
[(1, 4), (2, 5), (5, 8)],
[(5, 8), (1, 4), (6, 8)],
[(1, 10), (2, 5), (6, 8), (9, 10), (10, 12)],
[(0, 1), (3, 5), (4, 8), (10, 12), (9, 10)],
]
for x in inputs:
in_place(x)
merge_ranges = in_place
setup = 'from __main__ import test_nip, test_ip'
print(timeit.timeit('test_nip()', number=10000, setup=setup))
print(timeit.timeit('test_ip()', number=10000, setup=setup))
# Tests
class Test(unittest.TestCase):
def test_meetings_overlap(self):
actual = merge_ranges([(1, 3), (2, 4)])
expected = [(1, 4)]
self.assertEqual(actual, expected)
def test_meetings_touch(self):
actual = merge_ranges([(5, 6), (6, 8)])
expected = [(5, 8)]
self.assertEqual(actual, expected)
def test_meeting_contains_other_meeting(self):
actual = merge_ranges([(1, 8), (2, 5)])
expected = [(1, 8)]
self.assertEqual(actual, expected)
def test_meetings_stay_separate(self):
actual = merge_ranges([(1, 3), (4, 8)])
expected = [(1, 3), (4, 8)]
self.assertEqual(actual, expected)
def test_multiple_merged_meetings(self):
actual = merge_ranges([(1, 4), (2, 5), (5, 8)])
expected = [(1, 8)]
self.assertEqual(actual, expected)
def test_meetings_not_sorted(self):
actual = merge_ranges([(5, 8), (1, 4), (6, 8)])
expected = [(1, 4), (5, 8)]
self.assertEqual(actual, expected)
def test_one_long_meeting_contains_smaller_meetings(self):
actual = merge_ranges([(1, 10), (2, 5), (6, 8), (9, 10), (10, 12)])
expected = [(1, 12)]
self.assertEqual(actual, expected)
def test_sample_input(self):
actual = merge_ranges([(0, 1), (3, 5), (4, 8), (10, 12), (9, 10)])
expected = [(0, 1), (3, 8), (9, 12)]
self.assertEqual(actual, expected)
unittest.main(verbosity=2)
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