


from typing import TYPE_CHECKING

from ...utils import OptionalDependencyNotAvailable, _LazyModule, is_torch_available, is_vision_available


snake_case							:	Any					      =				{'configuration_glpn': ['GLPN_PRETRAINED_CONFIG_ARCHIVE_MAP', 'GLPNConfig']}

try:
						if not is_vision_available():
												raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
						pass
else:
						snake_case							:	List[str]					      =				['GLPNFeatureExtractor']
						snake_case							:	List[Any]					      =				['GLPNImageProcessor']

try:
						if not is_torch_available():
												raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
						pass
else:
						snake_case							:	str					      =				[
						    'GLPN_PRETRAINED_MODEL_ARCHIVE_LIST',
						    'GLPNForDepthEstimation',
						    'GLPNLayer',
						    'GLPNModel',
						    'GLPNPreTrainedModel',
						]


if TYPE_CHECKING:
						from .configuration_glpn import GLPN_PRETRAINED_CONFIG_ARCHIVE_MAP, GLPNConfig

						try:
												if not is_vision_available():
																		raise OptionalDependencyNotAvailable()
						except OptionalDependencyNotAvailable:
												pass
						else:
												from .feature_extraction_glpn import GLPNFeatureExtractor
												from .image_processing_glpn import GLPNImageProcessor

						try:
												if not is_torch_available():
																		raise OptionalDependencyNotAvailable()
						except OptionalDependencyNotAvailable:
												pass
						else:
												from .modeling_glpn import (
												    GLPN_PRETRAINED_MODEL_ARCHIVE_LIST,
												    GLPNForDepthEstimation,
												    GLPNLayer,
												    GLPNModel,
												    GLPNPreTrainedModel,
												)


else:
						import sys

						snake_case							:	Union[str, Any]					      =				_LazyModule(__name__, globals()['''__file__'''], _import_structure, module_spec=__spec__)








from math import ceil, sqrt






def 							__lowercase       (			__lowerCAmelCase							:    int = 1_0_0_0_0_0_0       ):
							a__					=					0

							for outer_width in range(3 ,   (limit // 4) + 2       ):
														if outer_width**2 > limit:
																					a__					=					max(ceil(sqrt(outer_width**2 - limit       )       ) ,   1       )
														else:
																					a__					=					1
														if (outer_width - hole_width_lower_bound) % 2:
																					hole_width_lower_bound += 1

														answer += (outer_width - hole_width_lower_bound - 2) // 2 + 1

							return answer


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




