



'''simple docstring'''




from math import sqrt



def    __lowerCamelCase						(      _lowercase = 1_0_0_0_0_0_0	)   ->    int:
							UpperCAmelCase  :	int							  =	0
							UpperCAmelCase  :	int							  =	0
							UpperCAmelCase  :	int

							while num_cuboids <= limit:
														max_cuboid_size += 1
														for sum_shortest_sides in range(2			,       2 * max_cuboid_size + 1	):
																					if sqrt(sum_shortest_sides**2 + max_cuboid_size**2	).is_integer():
																												num_cuboids += (
																												    min(_lowercase			,       sum_shortest_sides // 2	)
																												    - max(1			,       sum_shortest_sides - max_cuboid_size	)
																												    + 1
																												)

							return max_cuboid_size


if __name__ == "__main__":
							print(F'''{solution() = }''')






'''simple docstring'''




def    __lowerCamelCase						(      _lowercase = "The quick brown fox jumps over the lazy dog"			,       )   ->    bool:
							UpperCAmelCase  :	Union[str, Any]							  =	set()

							# Replace all the whitespace in our sentence
							UpperCAmelCase  :	List[str]							  =	input_str.replace(""" """			,       """"""	)
							for alpha in input_str:
														if "a" <= alpha.lower() <= "z":
																					frequency.add(alpha.lower()	)
							return len(_lowercase	) == 2_6



def    __lowerCamelCase						(      _lowercase = "The quick brown fox jumps over the lazy dog"			,       )   ->    bool:
							UpperCAmelCase  :	Tuple							  =	[False] * 2_6
							for char in input_str:
														if char.islower():
																					UpperCAmelCase  :	Any							  =	True
														elif char.isupper():
																					UpperCAmelCase  :	Union[str, Any]							  =	True
							return all(_lowercase	)



def    __lowerCamelCase						(      _lowercase = "The quick brown fox jumps over the lazy dog"			,       )   ->    bool:
							return len({char for char in input_str.lower() if char.isalpha()}	) == 2_6



def    __lowerCamelCase						(      )   ->    None:
							from timeit import timeit

							UpperCAmelCase  :	str							  =	"""from __main__ import is_pangram, is_pangram_faster, is_pangram_fastest"""
							print(timeit("""is_pangram()"""			,       setup=_lowercase	)	)
							print(timeit("""is_pangram_faster()"""			,       setup=_lowercase	)	)
							print(timeit("""is_pangram_fastest()"""			,       setup=_lowercase	)	)
							# 5.348480500048026, 2.6477354579837993, 1.8470395830227062
							# 5.036091582966037, 2.644472333951853,  1.8869528750656173


if __name__ == "__main__":
							import doctest

							doctest.testmod()
							benchmark()

