
"""simple docstring"""


# Lint as: python3
import dataclasses
import re
from dataclasses import dataclass
from functools import total_ordering
from typing import Optional, Union


_lowercase							      = re.compile(r'''^(?P<major>\d+)''' r'''\.(?P<minor>\d+)''' r'''\.(?P<patch>\d+)$''')







@total_ordering
@dataclass
class  lowerCAmelCase_ :



						'''simple docstring'''


						_lowerCamelCase:			str
						_lowerCamelCase:			Optional[str]					=			None
						_lowerCamelCase:			Optional[Union[str, int]]					=			None
						_lowerCamelCase:			Optional[Union[str, int]]					=			None
						_lowerCamelCase:			Optional[Union[str, int]]					=			None


						def   _SCREAMING_SNAKE_CASE					(       self   :					List[str]					)   ->      List[str]:
							A      ,					A      ,					A        =      _str_to_version_tuple(self.version_str					)


						def __repr__(       self   :					Optional[int]					)   ->      Dict:
							return F'{self.tuple[0]}.{self.tuple[1]}.{self.tuple[2]}'


						@property
						def   _SCREAMING_SNAKE_CASE					(       self   :					Optional[int]					)   ->      int:
							return self.major, self.minor, self.patch


						def   _SCREAMING_SNAKE_CASE					(       self   :					Optional[int]     ,A_   :					Tuple					)   ->      Union[str, Any]:
							if isinstance(A_     ,A_					):
								return Version(A_					)
							elif isinstance(A_     ,A_					):
								return other
							raise TypeError(F'{other} (type {type(A_					)}) cannot be compared to version.'					)


						def __eq__(       self   :					List[Any]     ,A_   :					Dict					)   ->      Any:
							try:
								A        =      self._validate_operand(A_					)
							except (TypeError, ValueError):
								return False
							else:
								return self.tuple == other.tuple


						def __lt__(       self   :					List[Any]     ,A_   :					Optional[int]					)   ->      Tuple:
							A        =      self._validate_operand(A_					)
							return self.tuple < other.tuple


						def __hash__(       self   :					Union[str, Any]					)   ->      Union[str, Any]:
							return hash(_version_tuple_to_str(self.tuple					)					)


						@classmethod
						def   _SCREAMING_SNAKE_CASE					(       cls   :					Any     ,A_   :					List[str]					)   ->      List[str]:
							A        =      {f.name for f in dataclasses.fields(cls					)}
							return cls(**{k: v for k, v in dic.items() if k in field_names}					)




						def   _SCREAMING_SNAKE_CASE					(       self   :					Optional[int]					)   ->      str:
							return self.version_str






def 					_snake_case (						snake_case__      :   List[str]   ):
	A        =      _VERSION_REG.match(snake_case__   )
	if not res:
		raise ValueError(F'Invalid version \'{version_str}\'. Format should be x.y.z with {{x,y,z}} being digits.'   )
	return tuple(int(snake_case__   ) for v in [res.group('major'   ), res.group('minor'   ), res.group('patch'   )]   )






def 					_snake_case (						snake_case__      :   str   ):
	return ".".join(str(snake_case__   ) for v in version_tuple   )




'''simple docstring'''





from __future__ import annotations

import math




def lowerCAmelCase  (__A  ,	__A):



     """simple docstring"""



     _a      =  u
     for i in range(1  ,	__A):
          _a      =  temp * (u - i)
     return temp




def lowerCAmelCase  ():



     """simple docstring"""



     _a      =  int(input('''enter the numbers of values: '''))
     _a      =  []
     for _ in range(__A):
          y.append([])
     for i in range(__A):
          for j in range(__A):
               y[i].append(__A)
               _a      =  0

     print('''enter the values of parameters in a list: ''')
     _a      =  list(map(__A  ,	input().split()))

     print('''enter the values of corresponding parameters: ''')
     for i in range(__A):
          _a      =  float(input())

     _a      =  int(input('''enter the value to interpolate: '''))
     _a      =  (value - x[0]) / (x[1] - x[0])

     # for calculating forward difference table

     for i in range(1  ,	__A):
          for j in range(n - i):
               _a      =  y[j + 1][i - 1] - y[j][i - 1]

     _a      =  y[0][0]
     for i in range(1  ,	__A):
          summ += (ucal(__A  ,	__A) * y[0][i]) / math.factorial(__A)

     print(F'''the value at {value} is {summ}''')


if __name__ == "__main__":
  main()



