



from ..utils import DummyObject, requires_backends

class        snake_case__    (metaclass=A__		):







						"""simple docstring"""




						__lowerCAmelCase					:Dict      =					["sentencepiece"]

						def __init__(       self ,       *__lowercase ,       **__lowercase  ) ->				str:
									"""simple docstring"""




									requires_backends(self ,       ["""sentencepiece"""]  )




class        snake_case__    (metaclass=A__		):







						"""simple docstring"""




						__lowerCAmelCase					:int      =					["sentencepiece"]

						def __init__(       self ,       *__lowercase ,       **__lowercase  ) ->				Dict:
									"""simple docstring"""




									requires_backends(self ,       ["""sentencepiece"""]  )




class        snake_case__    (metaclass=A__		):







						"""simple docstring"""




						__lowerCAmelCase					:Optional[Any]      =					["sentencepiece"]

						def __init__(       self ,       *__lowercase ,       **__lowercase  ) ->				int:
									"""simple docstring"""




									requires_backends(self ,       ["""sentencepiece"""]  )




class        snake_case__    (metaclass=A__		):







						"""simple docstring"""




						__lowerCAmelCase					:Any      =					["sentencepiece"]

						def __init__(       self ,       *__lowercase ,       **__lowercase  ) ->				Any:
									"""simple docstring"""




									requires_backends(self ,       ["""sentencepiece"""]  )




class        snake_case__    (metaclass=A__		):







						"""simple docstring"""




						__lowerCAmelCase					:Dict      =					["sentencepiece"]

						def __init__(       self ,       *__lowercase ,       **__lowercase  ) ->				str:
									"""simple docstring"""




									requires_backends(self ,       ["""sentencepiece"""]  )




class        snake_case__    (metaclass=A__		):







						"""simple docstring"""




						__lowerCAmelCase					:List[str]      =					["sentencepiece"]

						def __init__(       self ,       *__lowercase ,       **__lowercase  ) ->				List[str]:
									"""simple docstring"""




									requires_backends(self ,       ["""sentencepiece"""]  )




class        snake_case__    (metaclass=A__		):







						"""simple docstring"""




						__lowerCAmelCase					:Optional[int]      =					["sentencepiece"]

						def __init__(       self ,       *__lowercase ,       **__lowercase  ) ->				int:
									"""simple docstring"""




									requires_backends(self ,       ["""sentencepiece"""]  )




class        snake_case__    (metaclass=A__		):







						"""simple docstring"""




						__lowerCAmelCase					:Optional[Any]      =					["sentencepiece"]

						def __init__(       self ,       *__lowercase ,       **__lowercase  ) ->				str:
									"""simple docstring"""




									requires_backends(self ,       ["""sentencepiece"""]  )




class        snake_case__    (metaclass=A__		):







						"""simple docstring"""




						__lowerCAmelCase					:Union[str, Any]      =					["sentencepiece"]

						def __init__(       self ,       *__lowercase ,       **__lowercase  ) ->				Tuple:
									"""simple docstring"""




									requires_backends(self ,       ["""sentencepiece"""]  )




class        snake_case__    (metaclass=A__		):







						"""simple docstring"""




						__lowerCAmelCase					:Tuple      =					["sentencepiece"]

						def __init__(       self ,       *__lowercase ,       **__lowercase  ) ->				Any:
									"""simple docstring"""




									requires_backends(self ,       ["""sentencepiece"""]  )




class        snake_case__    (metaclass=A__		):







						"""simple docstring"""




						__lowerCAmelCase					:Optional[Any]      =					["sentencepiece"]

						def __init__(       self ,       *__lowercase ,       **__lowercase  ) ->				Any:
									"""simple docstring"""




									requires_backends(self ,       ["""sentencepiece"""]  )




class        snake_case__    (metaclass=A__		):







						"""simple docstring"""




						__lowerCAmelCase					:Any      =					["sentencepiece"]

						def __init__(       self ,       *__lowercase ,       **__lowercase  ) ->				Optional[int]:
									"""simple docstring"""




									requires_backends(self ,       ["""sentencepiece"""]  )




class        snake_case__    (metaclass=A__		):







						"""simple docstring"""




						__lowerCAmelCase					:Optional[Any]      =					["sentencepiece"]

						def __init__(       self ,       *__lowercase ,       **__lowercase  ) ->				Union[str, Any]:
									"""simple docstring"""




									requires_backends(self ,       ["""sentencepiece"""]  )




class        snake_case__    (metaclass=A__		):







						"""simple docstring"""




						__lowerCAmelCase					:Union[str, Any]      =					["sentencepiece"]

						def __init__(       self ,       *__lowercase ,       **__lowercase  ) ->				Union[str, Any]:
									"""simple docstring"""




									requires_backends(self ,       ["""sentencepiece"""]  )




class        snake_case__    (metaclass=A__		):







						"""simple docstring"""




						__lowerCAmelCase					:List[Any]      =					["sentencepiece"]

						def __init__(       self ,       *__lowercase ,       **__lowercase  ) ->				int:
									"""simple docstring"""




									requires_backends(self ,       ["""sentencepiece"""]  )




class        snake_case__    (metaclass=A__		):







						"""simple docstring"""




						__lowerCAmelCase					:Optional[Any]      =					["sentencepiece"]

						def __init__(       self ,       *__lowercase ,       **__lowercase  ) ->				List[Any]:
									"""simple docstring"""




									requires_backends(self ,       ["""sentencepiece"""]  )




class        snake_case__    (metaclass=A__		):







						"""simple docstring"""




						__lowerCAmelCase					:List[Any]      =					["sentencepiece"]

						def __init__(       self ,       *__lowercase ,       **__lowercase  ) ->				List[str]:
									"""simple docstring"""




									requires_backends(self ,       ["""sentencepiece"""]  )




class        snake_case__    (metaclass=A__		):







						"""simple docstring"""




						__lowerCAmelCase					:List[Any]      =					["sentencepiece"]

						def __init__(       self ,       *__lowercase ,       **__lowercase  ) ->				Union[str, Any]:
									"""simple docstring"""




									requires_backends(self ,       ["""sentencepiece"""]  )




class        snake_case__    (metaclass=A__		):







						"""simple docstring"""




						__lowerCAmelCase					:Optional[int]      =					["sentencepiece"]

						def __init__(       self ,       *__lowercase ,       **__lowercase  ) ->				Any:
									"""simple docstring"""




									requires_backends(self ,       ["""sentencepiece"""]  )




class        snake_case__    (metaclass=A__		):







						"""simple docstring"""




						__lowerCAmelCase					:Tuple      =					["sentencepiece"]

						def __init__(       self ,       *__lowercase ,       **__lowercase  ) ->				Optional[Any]:
									"""simple docstring"""




									requires_backends(self ,       ["""sentencepiece"""]  )




class        snake_case__    (metaclass=A__		):







						"""simple docstring"""




						__lowerCAmelCase					:str      =					["sentencepiece"]

						def __init__(       self ,       *__lowercase ,       **__lowercase  ) ->				Optional[int]:
									"""simple docstring"""




									requires_backends(self ,       ["""sentencepiece"""]  )




class        snake_case__    (metaclass=A__		):







						"""simple docstring"""




						__lowerCAmelCase					:Any      =					["sentencepiece"]

						def __init__(       self ,       *__lowercase ,       **__lowercase  ) ->				List[Any]:
									"""simple docstring"""




									requires_backends(self ,       ["""sentencepiece"""]  )




class        snake_case__    (metaclass=A__		):







						"""simple docstring"""




						__lowerCAmelCase					:List[Any]      =					["sentencepiece"]

						def __init__(       self ,       *__lowercase ,       **__lowercase  ) ->				Optional[Any]:
									"""simple docstring"""




									requires_backends(self ,       ["""sentencepiece"""]  )




class        snake_case__    (metaclass=A__		):







						"""simple docstring"""




						__lowerCAmelCase					:Tuple      =					["sentencepiece"]

						def __init__(       self ,       *__lowercase ,       **__lowercase  ) ->				List[str]:
									"""simple docstring"""




									requires_backends(self ,       ["""sentencepiece"""]  )




class        snake_case__    (metaclass=A__		):







						"""simple docstring"""




						__lowerCAmelCase					:Union[str, Any]      =					["sentencepiece"]

						def __init__(       self ,       *__lowercase ,       **__lowercase  ) ->				Optional[int]:
									"""simple docstring"""




									requires_backends(self ,       ["""sentencepiece"""]  )




class        snake_case__    (metaclass=A__		):







						"""simple docstring"""




						__lowerCAmelCase					:Any      =					["sentencepiece"]

						def __init__(       self ,       *__lowercase ,       **__lowercase  ) ->				str:
									"""simple docstring"""




									requires_backends(self ,       ["""sentencepiece"""]  )




class        snake_case__    (metaclass=A__		):







						"""simple docstring"""




						__lowerCAmelCase					:int      =					["sentencepiece"]

						def __init__(       self ,       *__lowercase ,       **__lowercase  ) ->				Any:
									"""simple docstring"""




									requires_backends(self ,       ["""sentencepiece"""]  )




class        snake_case__    (metaclass=A__		):







						"""simple docstring"""




						__lowerCAmelCase					:Optional[Any]      =					["sentencepiece"]

						def __init__(       self ,       *__lowercase ,       **__lowercase  ) ->				Union[str, Any]:
									"""simple docstring"""




									requires_backends(self ,       ["""sentencepiece"""]  )




class        snake_case__    (metaclass=A__		):







						"""simple docstring"""




						__lowerCAmelCase					:Any      =					["sentencepiece"]

						def __init__(       self ,       *__lowercase ,       **__lowercase  ) ->				List[str]:
									"""simple docstring"""




									requires_backends(self ,       ["""sentencepiece"""]  )




class        snake_case__    (metaclass=A__		):







						"""simple docstring"""




						__lowerCAmelCase					:Any      =					["sentencepiece"]

						def __init__(       self ,       *__lowercase ,       **__lowercase  ) ->				str:
									"""simple docstring"""




									requires_backends(self ,       ["""sentencepiece"""]  )




class        snake_case__    (metaclass=A__		):







						"""simple docstring"""




						__lowerCAmelCase					:List[Any]      =					["sentencepiece"]

						def __init__(       self ,       *__lowercase ,       **__lowercase  ) ->				List[str]:
									"""simple docstring"""




									requires_backends(self ,       ["""sentencepiece"""]  )









from __future__ import annotations

import math

def      lowerCAmelCase_					(  _lowercase    :       float						,       _lowercase    :       int)							->	float:







			"""simple docstring"""
			a__       :						Union[str, Any]							=  u
			for i in range(1						,       _lowercase):
						a__       :						Optional[int]							=  temp * (u - i)
			return temp

def      lowerCAmelCase_					(  )							->	None:







			"""simple docstring"""
			a__       :						Tuple							=  int(input("""enter the numbers of values: """))
			a__       :						list[list[float]]							=  []
			for _ in range(_lowercase):
						y.append([])
			for i in range(_lowercase):
						for j in range(_lowercase):
									y[i].append(_lowercase)
									a__       :						Optional[Any]							=  0

			print("""enter the values of parameters in a list: """)
			a__       :						List[Any]							=  list(map(_lowercase						,       input().split()))

			print("""enter the values of corresponding parameters: """)
			for i in range(_lowercase):
						a__       :						Optional[Any]							=  float(input())

			a__       :						Tuple							=  int(input("""enter the value to interpolate: """))
			a__       :						int							=  (value - x[0]) / (x[1] - x[0])

			# for calculating forward difference table

			for i in range(1						,       _lowercase):
						for j in range(n - i):
									a__       :						int							=  y[j + 1][i - 1] - y[j][i - 1]

			a__       :						Optional[int]							=  y[0][0]
			for i in range(1						,       _lowercase):
						summ += (ucal(_lowercase						,       _lowercase) * y[0][i]) / math.factorial(_lowercase)

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


if __name__ == "__main__":
		main()




