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75 lines (65 loc) · 1.78 KB
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def is_even(number: int) -> bool:
"""Return True if the input integer is even using a bitwise check.
Explanation:
In binary, even numbers always have the least significant bit cleared (0),
while odd numbers have it set (1). Therefore, ``n & 1 == 0`` implies even.
>>> is_even(1)
False
>>> is_even(4)
True
>>> is_even(9)
False
>>> is_even(15)
False
>>> is_even(40)
True
>>> is_even(100)
True
>>> is_even(101)
False
>>> is_even(True)
Traceback (most recent call last):
...
TypeError: input must be an integer
>>> is_even(3.14)
Traceback (most recent call last):
...
TypeError: input must be an integer
"""
if not isinstance(number, int) or isinstance(number, bool):
# bool is a subclass of int; explicitly disallow it as a number here.
raise TypeError("input must be an integer")
return (number & 1) == 0
def is_even_using_shift_operator(number: int) -> bool:
"""
Returns True if the input integer is even.
Explanation:
In binary, even numbers end with 0, odd numbers end with 1.
Examples:
2 -> 10
3 -> 11
4 -> 100
5 -> 101
For odd numbers, the last bit is always 1.
Using shift:
(n >> 1) << 1 removes the last bit.
If result equals n, n is even.
>>> is_even_using_shift_operator(1)
False
>>> is_even_using_shift_operator(4)
True
>>> is_even_using_shift_operator(9)
False
>>> is_even_using_shift_operator(15)
False
>>> is_even_using_shift_operator(40)
True
>>> is_even_using_shift_operator(100)
True
>>> is_even_using_shift_operator(101)
False
"""
return (number >> 1) << 1 == number
if __name__ == "__main__":
import doctest
doctest.testmod()