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import math

def perfect_square(num: int) -> bool:

"""

Check if a number is perfect square number or not

:param num: the number to be checked

:return: True if number is square number, otherwise False

>>> perfect_square(9)

True

>>> perfect_square(16)

True

>>> perfect_square(1)

True

>>> perfect_square(0)

True

>>> perfect_square(10)

False

"""

return math.sqrt(num) * math.sqrt(num) == num

def perfect_square_binary_search(n: int) -> bool:

"""

Check if a number is perfect square using binary search.

Time complexity : O(Log(n))

Space complexity: O(1)

>>> perfect_square_binary_search(9)

True

>>> perfect_square_binary_search(16)

True

>>> perfect_square_binary_search(1)

True

>>> perfect_square_binary_search(0)

True

>>> perfect_square_binary_search(10)

False

>>> perfect_square_binary_search(-1)

False

>>> perfect_square_binary_search(1.1)

False

>>> perfect_square_binary_search("a")

Traceback (most recent call last):

...

TypeError: '<=' not supported between instances of 'int' and 'str'

>>> perfect_square_binary_search(None)

Traceback (most recent call last):

...

TypeError: '<=' not supported between instances of 'int' and 'NoneType'

>>> perfect_square_binary_search([])

Traceback (most recent call last):

...

TypeError: '<=' not supported between instances of 'int' and 'list'

"""

left = 0

right = n

while left <= right:

mid = (left + right) // 2

if mid**2 == n:

return True

elif mid**2 > n:

right = mid - 1

else:

left = mid + 1

return False

if __name__ == "__main__":

import doctest

doctest.testmod()

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