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* The black formatter is no longer beta
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* pre-commit autoupdate
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74 lines
1.8 KiB
Python
74 lines
1.8 KiB
Python
import math
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def perfect_square(num: int) -> bool:
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"""
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Check if a number is perfect square number or not
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:param num: the number to be checked
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:return: True if number is square number, otherwise False
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>>> perfect_square(9)
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True
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>>> perfect_square(16)
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True
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>>> perfect_square(1)
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True
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>>> perfect_square(0)
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True
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>>> perfect_square(10)
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False
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"""
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return math.sqrt(num) * math.sqrt(num) == num
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def perfect_square_binary_search(n: int) -> bool:
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"""
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Check if a number is perfect square using binary search.
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Time complexity : O(Log(n))
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Space complexity: O(1)
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>>> perfect_square_binary_search(9)
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True
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>>> perfect_square_binary_search(16)
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True
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>>> perfect_square_binary_search(1)
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True
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>>> perfect_square_binary_search(0)
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True
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>>> perfect_square_binary_search(10)
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False
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>>> perfect_square_binary_search(-1)
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False
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>>> perfect_square_binary_search(1.1)
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False
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>>> perfect_square_binary_search("a")
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Traceback (most recent call last):
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...
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TypeError: '<=' not supported between instances of 'int' and 'str'
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>>> perfect_square_binary_search(None)
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Traceback (most recent call last):
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...
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TypeError: '<=' not supported between instances of 'int' and 'NoneType'
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>>> perfect_square_binary_search([])
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Traceback (most recent call last):
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...
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TypeError: '<=' not supported between instances of 'int' and 'list'
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"""
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left = 0
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right = n
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while left <= right:
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mid = (left + right) // 2
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if mid**2 == n:
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return True
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elif mid**2 > n:
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right = mid - 1
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else:
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left = mid + 1
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return False
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if __name__ == "__main__":
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import doctest
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doctest.testmod()
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