"""simple docstring"""






import copy
import re

class lowerCamelCase		:






					'''simple docstring'''


					a   	=		"hp"
					a   	=		{}
					a   	=		None



					@classmethod
					def 			lowerCAmelCase_					(						cls			:				Optional[Any]   , _snake_case			:				str   , _snake_case			:				Optional[int]		)							->       Union[str, Any]:
									SCREAMING_SNAKE_CASE__		  =				prefix
									SCREAMING_SNAKE_CASE__		  =				defaults
									cls.build_naming_info()



					@staticmethod
					def 			lowerCAmelCase_					(						_snake_case			:				Optional[int]   , _snake_case			:				Dict		)							->       List[str]:
									if len(_snake_case		) == 0:
													return ""
									SCREAMING_SNAKE_CASE__		  =				None
									if any(char.isdigit() for char in word		):
													raise Exception(F"""Parameters should not contain numbers: '{word}' contains a number"""		)
									if word in info["short_word"]:
													return info["short_word"][word]
									for prefix_len in range(1   , len(_snake_case		) + 1		):
													SCREAMING_SNAKE_CASE__		  =				word[:prefix_len]
													if prefix in info["reverse_short_word"]:
																	continue
													else:
																	SCREAMING_SNAKE_CASE__		  =				prefix
																	break

									if short_word is None:
													# Paranoid fallback
													def int_to_alphabetic(_snake_case			:				Any		):
																	SCREAMING_SNAKE_CASE__		  =				""
																	while integer != 0:
																					SCREAMING_SNAKE_CASE__		  =				chr(ord("A"		) + integer % 10		) + s
																					integer //= 10
																	return s

													SCREAMING_SNAKE_CASE__		  =				0
													while True:
																	SCREAMING_SNAKE_CASE__		  =				word + "#" + int_to_alphabetic(_snake_case		)
																	if sword in info["reverse_short_word"]:
																					continue
																	else:
																					SCREAMING_SNAKE_CASE__		  =				sword
																					break

									SCREAMING_SNAKE_CASE__		  =				short_word
									SCREAMING_SNAKE_CASE__		  =				word
									return short_word



					@staticmethod
					def 			lowerCAmelCase_					(						_snake_case			:				Dict   , _snake_case			:				Optional[int]		)							->       Union[str, Any]:
									SCREAMING_SNAKE_CASE__		  =				param_name.split("_"		)

									SCREAMING_SNAKE_CASE__		  =				[TrialShortNamer.shortname_for_word(_snake_case   , _snake_case		) for word in words]

									# We try to create a separatorless short name, but if there is a collision we have to fallback
									# to a separated short name
									SCREAMING_SNAKE_CASE__		  =				["", "_"]

									for separator in separators:
													SCREAMING_SNAKE_CASE__		  =				separator.join(_snake_case		)
													if shortname not in info["reverse_short_param"]:
																	SCREAMING_SNAKE_CASE__		  =				shortname
																	SCREAMING_SNAKE_CASE__		  =				param_name
																	return shortname

									return param_name



					@staticmethod
					def 			lowerCAmelCase_					(						_snake_case			:				Any   , _snake_case			:				str		)							->       List[Any]:
									SCREAMING_SNAKE_CASE__		  =				TrialShortNamer.shortname_for_key(_snake_case   , _snake_case		)
									SCREAMING_SNAKE_CASE__		  =				short_name
									SCREAMING_SNAKE_CASE__		  =				param_name



					@classmethod
					def 			lowerCAmelCase_					(						cls			:				Dict		)							->       int:
									if cls.NAMING_INFO is not None:
													return

									SCREAMING_SNAKE_CASE__		  =				{
									    "short_word": {},
									    "reverse_short_word": {},
									    "short_param": {},
									    "reverse_short_param": {},
									}

									SCREAMING_SNAKE_CASE__		  =				list(cls.DEFAULTS.keys()		)

									for k in field_keys:
													cls.add_new_param_name(_snake_case   , _snake_case		)

									SCREAMING_SNAKE_CASE__		  =				info



					@classmethod
					def 			lowerCAmelCase_					(						cls			:				Optional[Any]   , _snake_case			:				List[Any]		)							->       Tuple:
									cls.build_naming_info()
									assert cls.PREFIX is not None
									SCREAMING_SNAKE_CASE__		  =				[copy.copy(cls.PREFIX		)]

									for k, v in params.items():
													if k not in cls.DEFAULTS:
																	raise Exception(F"""You should provide a default value for the param name {k} with value {v}"""		)
													if v == cls.DEFAULTS[k]:
																	# The default value is not added to the name
																	continue

													SCREAMING_SNAKE_CASE__		  =				cls.NAMING_INFO["short_param"][k]

													if isinstance(_snake_case   , _snake_case		):
																	SCREAMING_SNAKE_CASE__		  =				1 if v else 0

													SCREAMING_SNAKE_CASE__		  =				"" if isinstance(_snake_case   , (int, float)		) else "-"
													SCREAMING_SNAKE_CASE__		  =				F"""{key}{sep}{v}"""
													name.append(_snake_case		)

									return "_".join(_snake_case		)



					@classmethod
					def 			lowerCAmelCase_					(						cls			:				int   , _snake_case			:				int		)							->       List[Any]:
									SCREAMING_SNAKE_CASE__		  =				repr[len(cls.PREFIX		) + 1 :]
									if repr == "":
													SCREAMING_SNAKE_CASE__		  =				[]
									else:
													SCREAMING_SNAKE_CASE__		  =				repr.split("_"		)

									SCREAMING_SNAKE_CASE__		  =				{}

									for value in values:
													if "-" in value:
																	SCREAMING_SNAKE_CASE__  ,       SCREAMING_SNAKE_CASE__		  =				value.split("-"		)
													else:
																	SCREAMING_SNAKE_CASE__		  =				re.sub("[0-9.]"   , ""   , _snake_case		)
																	SCREAMING_SNAKE_CASE__		  =				float(re.sub("[^0-9.]"   , ""   , _snake_case		)		)

													SCREAMING_SNAKE_CASE__		  =				cls.NAMING_INFO["reverse_short_param"][p_k]

													SCREAMING_SNAKE_CASE__		  =				p_v

									for k in cls.DEFAULTS:
													if k not in parameters:
																	SCREAMING_SNAKE_CASE__		  =				cls.DEFAULTS[k]

									return parameters





"""simple docstring"""






from math import pi




def 						SCREAMING_SNAKE_CASE					(  __UpperCAmelCase  ,					__UpperCAmelCase       )							->   float:
				return 2 * pi * radius * (angle / 360)


if __name__ == "__main__":
						print(arc_length(9_0, 1_0))




