def test_count_72(self):
"""
Test the fast method with 72.
"""
value: int = 72
result: int = 21
self.assertEqual(
count(value), result,
f'Between 0 and {value}, there are {result} lucky numbers.')
def test_count_459(self):
"""
Test the fast method with 459.
"""
value: int = 459
result: int = 148
self.assertEqual(
count(value), result,
f'Between 0 and {value}, there are {result} lucky numbers.')
def test_count_173(self):
"""
Test the fast method with 173.
"""
value: int = 173
result: int = 55
self.assertEqual(
count(value), result,
f'Between 0 and {value}, there are {result} lucky numbers.')
def test_count_6_645_243(self):
"""
Test the fast method with 6645243.
"""
value: int = 6_645_243
result: int = 3_615_948
self.assertEqual(
count(value), result,
f'Between 0 and {value}, there are {result} lucky numbers.')
def test_count_1_000_000_000_000_000_000(self):
"""
Test the fast method with 1000000000000000000.
"""
value: int = 1_000_000_000_000_000_000
result: int = 264160473575034274
self.assertEqual(
count(value), result,
f'Between 0 and {value}, there are {result} lucky numbers.')
def test_count_880_000(self):
"""
Test the fast method with 880000.
"""
value: int = 880_000
result: int = 472_910
self.assertEqual(
count(value), result,
f'Between 0 and {value}, there are {result} lucky numbers.')
def test_count_883_904(self):
"""
Test the fast method with 883904.
"""
value: int = 883_904
result: int = 475_749
self.assertEqual(
count(value), result,
f'Between 0 and {value}, there are {result} lucky numbers.')
def test_count_773_904(self):
"""
Test the fast method with 773904.
"""
value: int = 773_904
result: int = 412_264
self.assertEqual(
count(value), result,
f'Between 0 and {value}, there are {result} lucky numbers.')
def test_count_770_000(self):
"""
Test the fast method with 770000.
"""
value: int = 770_000
result: int = 410_562
self.assertEqual(
count(value), result,
f'Between 0 and {value}, there are {result} lucky numbers.')
def test_count_361_087(self):
"""
Test the fast method with 361087.
"""
value: int = 361_087
result: int = 188_067
self.assertEqual(
count(value), result,
f'Between 0 and {value}, there are {result} lucky numbers.')
def test_count_1719(self):
"""
Test the fast method with 2645.
"""
value: int = 2645
result: int = 1113
self.assertEqual(
count(value), result,
f'Between 0 and {value}, there are {result} lucky numbers.')
def test_count_666(self):
"""
Test the fast method with 666.
"""
value: int = 666
result: int = 264
self.assertEqual(
count(value), result,
f'Between 0 and {value}, there are {result} lucky numbers.')
def test_count_0(self):
"""
Tests the simplest case, with 0.
"""
self.assertEqual(count(0), 0,
'Between 0 and 0, there is 0 lucky numbers.')
