





import logging
import os
from logging import (
    CRITICAL,  # NOQA
    DEBUG,  # NOQA
    ERROR,  # NOQA
    FATAL,  # NOQA
    INFO,  # NOQA
    NOTSET,  # NOQA
    WARN,  # NOQA
    WARNING,  # NOQA
)
from typing import Optional

from tqdm import auto as tqdm_lib


_SCREAMING_SNAKE_CASE 		=						{
    """debug""": logging.DEBUG,
    """info""": logging.INFO,
    """warning""": logging.WARNING,
    """error""": logging.ERROR,
    """critical""": logging.CRITICAL,
}

_SCREAMING_SNAKE_CASE 		=						logging.WARNING


def 							SCREAMING_SNAKE_CASE__  (      ):
	snake_case_						:     Any     =		os.getenv('DATASETS_VERBOSITY'				,	__a				)
	if env_level_str:
		if env_level_str in log_levels:
			return log_levels[env_level_str]
		else:
			logging.getLogger().warning(
			    f"""Unknown option DATASETS_VERBOSITY={env_level_str}, """
			    f"""has to be one of: { ', '.join(log_levels.keys()				) }"""				)
	return _default_log_level


def 							SCREAMING_SNAKE_CASE__  (      ):
	return __name__.split('.'				)[0]


def 							SCREAMING_SNAKE_CASE__  (      ):
	return logging.getLogger(_get_library_name()				)


def 							SCREAMING_SNAKE_CASE__  (      ):
	# Apply our default configuration to the library root logger.
	snake_case_						:     str     =		_get_library_root_logger()
	library_root_logger.setLevel(_get_default_logging_level()				)


def 							SCREAMING_SNAKE_CASE__  (      ):
	snake_case_						:     Optional[Any]     =		_get_library_root_logger()
	library_root_logger.setLevel(logging.NOTSET				)


def 							SCREAMING_SNAKE_CASE__  (      __a = None				):
	if name is None:
		snake_case_						:     List[Any]     =		_get_library_name()
	return logging.getLogger(__a				)


def 							SCREAMING_SNAKE_CASE__  (      ):
	return _get_library_root_logger().getEffectiveLevel()


def 							SCREAMING_SNAKE_CASE__  (      __a				):
	_get_library_root_logger().setLevel(__a				)


def 							SCREAMING_SNAKE_CASE__  (      ):
	return set_verbosity(__a				)


def 							SCREAMING_SNAKE_CASE__  (      ):
	return set_verbosity(__a				)


def 							SCREAMING_SNAKE_CASE__  (      ):
	return set_verbosity(__a				)


def 							SCREAMING_SNAKE_CASE__  (      ):
	return set_verbosity(__a				)


def 							SCREAMING_SNAKE_CASE__  (      ):
	snake_case_						:     Optional[int]     =		False


def 							SCREAMING_SNAKE_CASE__  (      ):
	snake_case_						:     Dict     =		True


# Configure the library root logger at the module level (singleton-like)
_configure_library_root_logger()
class SCREAMING_SNAKE_CASE_  :






						def __init__( self : int						,				*_A : str						,				**_A : Dict		)							->      Optional[int]:  # pylint: disable=unused-argument







							"""simple docstring"""


							snake_case_						:     Optional[int]     =		args[0] if args else None






						def __iter__( self : List[str]		)							->      Any:







							"""simple docstring"""


							return iter(self._iterator		)






						def __getattr__( self : int						,				_A : int		)							->      Tuple:







							"""simple docstring"""


							def empty_fn(*_A : int						,				**_A : Union[str, Any]		):  # pylint: disable=unused-argument
								return

							return empty_fn






						def __enter__( self : Optional[int]		)							->      Optional[int]:







							"""simple docstring"""


							return self






						def __exit__( self : Optional[int]						,				_A : int						,				_A : Any						,				_A : int		)							->      Dict:







							"""simple docstring"""


							return
_SCREAMING_SNAKE_CASE 		=						True
class SCREAMING_SNAKE_CASE_  :






						def __call__( self : Optional[Any]						,				*_A : Optional[Any]						,				_A : Tuple=False						,				**_A : Optional[Any]		)							->      Dict:







							"""simple docstring"""


							if _tqdm_active and not disable:
								return tqdm_lib.tqdm(*_A						,				**_A		)
							else:
								return EmptyTqdm(*_A						,				**_A		)






						def UpperCAmelCase_			( self : Any						,				*_A : Optional[int]						,				**_A : str		)							->      int:







							"""simple docstring"""


							snake_case_						:     str     =		None
							if _tqdm_active:
								return tqdm_lib.tqdm.set_lock(*_A						,				**_A		)






						def UpperCAmelCase_			( self : List[Any]		)							->      Dict:







							"""simple docstring"""


							if _tqdm_active:
								return tqdm_lib.tqdm.get_lock()
_SCREAMING_SNAKE_CASE 		=						_tqdm_cls()


def 							SCREAMING_SNAKE_CASE__  (      ):
	global _tqdm_active
	return bool(_tqdm_active				)


def 							SCREAMING_SNAKE_CASE__  (      ):
	global _tqdm_active
	snake_case_						:     str     =		True


def 							SCREAMING_SNAKE_CASE__  (      ):
	global _tqdm_active
	snake_case_						:     str     =		False








from __future__ import annotations

import math


def 							SCREAMING_SNAKE_CASE__  (      __a				,	__a				):
	snake_case_						:     Optional[int]     =		u
	for i in range(1				,	__a				):
		snake_case_						:     Optional[Any]     =		temp * (u - i)
	return temp


def 							SCREAMING_SNAKE_CASE__  (      ):
	snake_case_						:     Dict     =		int(input('enter the numbers of values: '				)				)
	snake_case_						:     list[list[float]]     =		[]
	for _ in range(__a				):
		y.append([]				)
	for i in range(__a				):
		for j in range(__a				):
			y[i].append(__a				)
			snake_case_						:     str     =		0

	print('enter the values of parameters in a list: '				)
	snake_case_						:     int     =		list(map(__a				,	input().split()				)				)

	print('enter the values of corresponding parameters: '				)
	for i in range(__a				):
		snake_case_						:     Union[str, Any]     =		float(input()				)

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

	# for calculating forward difference table

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

	snake_case_						:     str     =		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()

