
"""simple docstring"""


import copy
import re







class 				lowerCAmelCase_				:



						'''simple docstring'''


						_lowerCamelCase:    Tuple      =    '''hp'''
						_lowerCamelCase:    Optional[Any]      =    {}
						_lowerCamelCase:    Optional[Any]      =    None


						@classmethod
						def 						_SCREAMING_SNAKE_CASE      ( cls     :      List[str]  ,A_     :      Union[str, Any]  ,A_     :      Dict      )     ->   Union[str, Any]:
							A						   =   prefix
							A						   =   defaults
							cls.build_naming_info()


						@staticmethod
						def 						_SCREAMING_SNAKE_CASE      ( A_     :      Optional[Any]  ,A_     :      Optional[int]      )     ->   List[Any]:
							if len(A_      ) == 0:
								return ""
							A						   =   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(A_      ) + 1      ):
								A						   =   word[:prefix_len]
								if prefix in info["reverse_short_word"]:
									continue
								else:
									A						   =   prefix
									break

							if short_word is None:
								# Paranoid fallback
								def int_to_alphabetic(A_     :      int      ):
									A						   =   ''
									while integer != 0:
										A						   =   chr(ord('A'      ) + integer % 10      ) + s
										integer //= 10
									return s

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

							A						   =   short_word
							A						   =   word
							return short_word


						@staticmethod
						def 						_SCREAMING_SNAKE_CASE      ( A_     :      Any  ,A_     :      Any      )     ->   List[str]:
							A						   =   param_name.split('_'      )

							A						   =   [TrialShortNamer.shortname_for_word(A_  ,A_      ) 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
							A						   =   ['', '_']

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

							return param_name


						@staticmethod
						def 						_SCREAMING_SNAKE_CASE      ( A_     :      List[Any]  ,A_     :      List[Any]      )     ->   Dict:
							A						   =   TrialShortNamer.shortname_for_key(A_  ,A_      )
							A						   =   short_name
							A						   =   param_name


						@classmethod
						def 						_SCREAMING_SNAKE_CASE      ( cls     :      Any      )     ->   Union[str, Any]:
							if cls.NAMING_INFO is not None:
								return

							A						   =   {
							    'short_word': {},
							    'reverse_short_word': {},
							    'short_param': {},
							    'reverse_short_param': {},
							}

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

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

							A						   =   info


						@classmethod
						def 						_SCREAMING_SNAKE_CASE      ( cls     :      Any  ,A_     :      List[str]      )     ->   Optional[int]:
							cls.build_naming_info()
							assert cls.PREFIX is not None
							A						   =   [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

								A						   =   cls.NAMING_INFO['short_param'][k]

								if isinstance(A_  ,A_      ):
									A						   =   1 if v else 0

								A						   =   '' if isinstance(A_  ,(int, float)      ) else '-'
								A						   =   F'{key}{sep}{v}'
								name.append(A_      )

							return "_".join(A_      )




						@classmethod
						def 						_SCREAMING_SNAKE_CASE      ( cls     :      Any  ,A_     :      List[Any]      )     ->   Tuple:
							A						   =   repr[len(cls.PREFIX      ) + 1 :]
							if repr == "":
								A						   =   []
							else:
								A						   =   repr.split('_'      )

							A						   =   {}

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

								A						   =   cls.NAMING_INFO['reverse_short_param'][p_k]

								A						   =   p_v

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

							return parameters

"""simple docstring"""


def       _snake_case				(		snake_case__   :     list	,      snake_case__   :     list	,      snake_case__   :     int     ):
	A						   =   len(snake_case__     )
	A						   =   [[0] * n for i in range(snake_case__     )]
	for i in range(snake_case__     ):
		A						   =   y_points[i]

	for i in range(2	,      snake_case__     ):
		for j in range(snake_case__	,      snake_case__     ):
			A						   =   (
			    (xa - x_points[j - i + 1]) * q[j][i - 1]
			    - (xa - x_points[j]) * q[j - 1][i - 1]
			) / (x_points[j] - x_points[j - i + 1])

	return [q[n - 1][n - 1], q]


if __name__ == "__main__":
		import doctest

		doctest.testmod()