mirror of
https://github.com/TheAlgorithms/Python.git
synced 2024-11-23 21:11:08 +00:00
24d3cf8244
* The black formatter is no longer beta
* pre-commit autoupdate
* pre-commit autoupdate
* Remove project_euler/problem_145 which is killing our CI tests
* updating DIRECTORY.md
Co-authored-by: github-actions <${GITHUB_ACTOR}@users.noreply.github.com>
74 lines
1.8 KiB
Python
74 lines
1.8 KiB
Python
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()
|