



'''simple docstring'''

from __future__ import annotations

import math

_A				:    Union[str, Any]     						="2020.9.26"
_A				:    Any     						="xcodz-dot, cclaus, dhruvmanila"







def 						__UpperCamelCase				(							_lowercase,				_lowercase,				_lowercase,				_lowercase,				_lowercase					) ->			tuple[float, float]:
	if not all(isinstance(UpperCAmelCase__,				(float, int)					) for val in locals().values()					):
		_lowercase					:       str       =		f'''Input values must either be float or int: {list(locals().values()					)}'''
		raise TypeError(UpperCAmelCase__					)
	_lowercase					:       str       =		((x * distance) / (z + distance)) * scale
	_lowercase					:       Optional[Any]       =		((y * distance) / (z + distance)) * scale
	return projected_x, projected_y







def 						__UpperCamelCase				(							_lowercase,				_lowercase,				_lowercase,				_lowercase,				_lowercase					) ->			tuple[float, float, float]:
	if not isinstance(UpperCAmelCase__,				UpperCAmelCase__					):
		raise TypeError('Axis must be a str'					)
	_lowercase					:       int       =		locals()
	del input_variables["axis"]
	if not all(isinstance(UpperCAmelCase__,				(float, int)					) for val in input_variables.values()					):
		_lowercase					:       List[Any]       =		(
		    """Input values except axis must either be float or int: """
		    f'''{list(input_variables.values()					)}'''
		)
		raise TypeError(UpperCAmelCase__					)
	_lowercase					:       Optional[Any]       =		(angle % 360) / 450 * 180 / math.pi
	if axis == "z":
		_lowercase					:       Union[str, Any]       =		x * math.cos(UpperCAmelCase__					) - y * math.sin(UpperCAmelCase__					)
		_lowercase					:       Optional[Any]       =		y * math.cos(UpperCAmelCase__					) + x * math.sin(UpperCAmelCase__					)
		_lowercase					:       Dict       =		z
	elif axis == "x":
		_lowercase					:       Dict       =		y * math.cos(UpperCAmelCase__					) - z * math.sin(UpperCAmelCase__					)
		_lowercase					:       int       =		z * math.cos(UpperCAmelCase__					) + y * math.sin(UpperCAmelCase__					)
		_lowercase					:       str       =		x
	elif axis == "y":
		_lowercase					:       str       =		x * math.cos(UpperCAmelCase__					) - z * math.sin(UpperCAmelCase__					)
		_lowercase					:       Any       =		z * math.cos(UpperCAmelCase__					) + x * math.sin(UpperCAmelCase__					)
		_lowercase					:       Optional[Any]       =		y
	else:
		raise ValueError('not a valid axis, choose one of \'x\', \'y\', \'z\''					)

	return new_x, new_y, new_z


if __name__ == "__main__":
		import doctest

		doctest.testmod()
		print(F'''{convert_to_ad(1.0, 2.0, 3.0, 1_0.0, 1_0.0) = }''')
		print(F'''{rotate(1.0, 2.0, 3.0, 'y', 9_0.0) = }''')





'''simple docstring'''

def 						__UpperCamelCase				(							_lowercase					) ->			bool:
	return str(_lowercase					) == str(_lowercase					)[::-1]







def 						__UpperCamelCase				(							_lowercase					) ->			int:
	return int(_lowercase					) + int(str(_lowercase					)[::-1]					)







def 						__UpperCamelCase				(							_lowercase = 1_0000					) ->			int:
	_lowercase					:       List[str]       =		[]
	for num in range(1,				_lowercase					):
		_lowercase					:       Tuple       =		0
		_lowercase					:       Tuple       =		num
		while iterations < 50:
			_lowercase					:       Union[str, Any]       =		sum_reverse(_lowercase					)
			iterations += 1
			if is_palindrome(_lowercase					):
				break
		else:
			lychrel_nums.append(_lowercase					)
	return len(_lowercase					)


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