






from __future__ import annotations







def 		_UpperCamelCase      (			UpperCamelCase_				:    int						)     ->      set[int]:

						"""simple docstring"""



						lowerCAmelCase__			  =  {1}
						lowerCAmelCase__			  =  [1]
						for _ in range(2			,				depth + 1						):
												lowerCAmelCase__			  =  [*previous_coefficients, 0]
												lowerCAmelCase__			  =  [0, *previous_coefficients]
												lowerCAmelCase__			  =  []
												for x, y in zip(UpperCamelCase_			,				UpperCamelCase_						):
																		coefficients.add(x + y						)
																		previous_coefficients.append(x + y						)
						return coefficients







def 		_UpperCamelCase      (			UpperCamelCase_				:    set[int]						)     ->      set[int]:

						"""simple docstring"""



						lowerCAmelCase__			  =  set()
						for number in unique_coefficients:
												lowerCAmelCase__			  =  2
												lowerCAmelCase__			  =  number
												while divisor**2 <= copy_number:
																		lowerCAmelCase__			  =  0
																		while copy_number % divisor == 0:
																								copy_number //= divisor
																								multiplicity += 1
																		if multiplicity >= 2:
																								non_squarefrees.add(UpperCamelCase_						)
																								break
																		divisor += 1

						return unique_coefficients.difference(UpperCamelCase_						)







def 		_UpperCamelCase      (			UpperCamelCase_				:    int = 51						)     ->      int:

						"""simple docstring"""



						lowerCAmelCase__			  =  get_pascal_triangle_unique_coefficients(UpperCamelCase_						)
						lowerCAmelCase__			  =  get_squarefrees(UpperCamelCase_						)
						return sum(UpperCamelCase_						)


if __name__ == "__main__":
					print(f'{solution() = }')













from typing import TYPE_CHECKING

from ...utils import OptionalDependencyNotAvailable, _LazyModule, is_torch_available


__snake_case			:			Optional[int]			   =   {"""configuration_sew_d""": ["""SEW_D_PRETRAINED_CONFIG_ARCHIVE_MAP""", """SEWDConfig"""]}

try:
					if not is_torch_available():
										raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
					pass
else:
					__snake_case			:			List[Any]			   =   [
					    """SEW_D_PRETRAINED_MODEL_ARCHIVE_LIST""",
					    """SEWDForCTC""",
					    """SEWDForSequenceClassification""",
					    """SEWDModel""",
					    """SEWDPreTrainedModel""",
					]

if TYPE_CHECKING:
					from .configuration_sew_d import SEW_D_PRETRAINED_CONFIG_ARCHIVE_MAP, SEWDConfig

					try:
										if not is_torch_available():
															raise OptionalDependencyNotAvailable()
					except OptionalDependencyNotAvailable:
										pass
					else:
										from .modeling_sew_d import (
										    SEW_D_PRETRAINED_MODEL_ARCHIVE_LIST,
										    SEWDForCTC,
										    SEWDForSequenceClassification,
										    SEWDModel,
										    SEWDPreTrainedModel,
										)


else:
					import sys

					__snake_case			:			Dict			   =   _LazyModule(__name__, globals()["""__file__"""], _import_structure, module_spec=__spec__)





