






'''simple docstring'''




from typing import TYPE_CHECKING

from ...utils import (
    OptionalDependencyNotAvailable,
    _LazyModule,
    is_tf_available,
    is_tokenizers_available,
    is_torch_available,
)


lowerCamelCase_												=					{
    '''configuration_funnel''': ['''FUNNEL_PRETRAINED_CONFIG_ARCHIVE_MAP''', '''FunnelConfig'''],
    '''convert_funnel_original_tf_checkpoint_to_pytorch''': [],
    '''tokenization_funnel''': ['''FunnelTokenizer'''],
}

try:
    if not is_tokenizers_available():
        raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
    pass
else:
    lowerCamelCase_												=					['''FunnelTokenizerFast''']

try:
    if not is_torch_available():
        raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
    pass
else:
    lowerCamelCase_												=					[
        '''FUNNEL_PRETRAINED_MODEL_ARCHIVE_LIST''',
        '''FunnelBaseModel''',
        '''FunnelForMaskedLM''',
        '''FunnelForMultipleChoice''',
        '''FunnelForPreTraining''',
        '''FunnelForQuestionAnswering''',
        '''FunnelForSequenceClassification''',
        '''FunnelForTokenClassification''',
        '''FunnelModel''',
        '''FunnelPreTrainedModel''',
        '''load_tf_weights_in_funnel''',
    ]

try:
    if not is_tf_available():
        raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
    pass
else:
    lowerCamelCase_												=					[
        '''TF_FUNNEL_PRETRAINED_MODEL_ARCHIVE_LIST''',
        '''TFFunnelBaseModel''',
        '''TFFunnelForMaskedLM''',
        '''TFFunnelForMultipleChoice''',
        '''TFFunnelForPreTraining''',
        '''TFFunnelForQuestionAnswering''',
        '''TFFunnelForSequenceClassification''',
        '''TFFunnelForTokenClassification''',
        '''TFFunnelModel''',
        '''TFFunnelPreTrainedModel''',
    ]


if TYPE_CHECKING:
    from .configuration_funnel import FUNNEL_PRETRAINED_CONFIG_ARCHIVE_MAP, FunnelConfig
    from .tokenization_funnel import FunnelTokenizer

    try:
        if not is_tokenizers_available():
            raise OptionalDependencyNotAvailable()
    except OptionalDependencyNotAvailable:
        pass
    else:
        from .tokenization_funnel_fast import FunnelTokenizerFast

    try:
        if not is_torch_available():
            raise OptionalDependencyNotAvailable()
    except OptionalDependencyNotAvailable:
        pass
    else:
        from .modeling_funnel import (
            FUNNEL_PRETRAINED_MODEL_ARCHIVE_LIST,
            FunnelBaseModel,
            FunnelForMaskedLM,
            FunnelForMultipleChoice,
            FunnelForPreTraining,
            FunnelForQuestionAnswering,
            FunnelForSequenceClassification,
            FunnelForTokenClassification,
            FunnelModel,
            FunnelPreTrainedModel,
            load_tf_weights_in_funnel,
        )

    try:
        if not is_tf_available():
            raise OptionalDependencyNotAvailable()
    except OptionalDependencyNotAvailable:
        pass
    else:
        from .modeling_tf_funnel import (
            TF_FUNNEL_PRETRAINED_MODEL_ARCHIVE_LIST,
            TFFunnelBaseModel,
            TFFunnelForMaskedLM,
            TFFunnelForMultipleChoice,
            TFFunnelForPreTraining,
            TFFunnelForQuestionAnswering,
            TFFunnelForSequenceClassification,
            TFFunnelForTokenClassification,
            TFFunnelModel,
            TFFunnelPreTrainedModel,
        )

else:
    import sys

    lowerCamelCase_												=					_LazyModule(__name__, globals()['''__file__'''], _import_structure, module_spec=__spec__)







from decimal import Decimal, getcontext
from math import ceil, factorial


def       A       (					lowercase )   ->  str:
		'''simple docstring'''

		if not isinstance(lowercase    ,       lowercase ):
				raise TypeError('Undefined for non-integers' )
		elif precision < 1:
				raise ValueError('Undefined for non-natural numbers' )

		UpperCamelCase		=     precision
		UpperCamelCase		=     ceil(precision / 14 )
		UpperCamelCase		=     426_880 * Decimal(10_005 ).sqrt()
		UpperCamelCase		=     1
		UpperCamelCase		=     13_591_409
		UpperCamelCase		=     Decimal(lowercase )
		for k in range(1    ,       lowercase ):
				UpperCamelCase		=     factorial(6 * k ) // (factorial(3 * k ) * factorial(lowercase ) ** 3)
				linear_term += 545_140_134
				exponential_term *= -262_537_412_640_768_000
				partial_sum += Decimal(multinomial_term * linear_term ) / exponential_term
		return str(constant_term / partial_sum )[:-1]


if __name__ == "__main__":
					_UpperCAmelCase					: Dict      =       50
					print(F'''The first {n} digits of pi is: {pi(n)}''')
