
def 	_SCREAMING_SNAKE_CASE					(		_lowerCamelCase :			list[list[int | float]])					->    int:






							'''simple docstring'''





							__UpperCamelCase	:   str			   =					len(_lowerCamelCase)
							__UpperCamelCase	:   str			   =					len(matrix[0])
							__UpperCamelCase	:   Union[str, Any]			   =					min(_lowerCamelCase						,  _lowerCamelCase)

							for row in range(_lowerCamelCase):
														# Check if diagonal element is not zero
														if matrix[row][row] != 0:
																					# Eliminate all the elements below the diagonal
																					for col in range(row + 1						,  _lowerCamelCase):
																												__UpperCamelCase	:   str			   =					matrix[col][row] / matrix[row][row]
																												for i in range(_lowerCamelCase						,  _lowerCamelCase):
																																			matrix[col][i] -= multiplier * matrix[row][i]
														else:
																					# Find a non-zero diagonal element to swap rows
																					__UpperCamelCase	:   Optional[Any]			   =					True
																					for i in range(row + 1						,  _lowerCamelCase):
																												if matrix[i][row] != 0:
																																			__UpperCamelCase   ,						__UpperCamelCase	:   List[str]			   =					matrix[i], matrix[row]
																																			__UpperCamelCase	:   Dict			   =					False
																																			break
																					if reduce:
																												rank -= 1
																												for i in range(_lowerCamelCase):
																																			__UpperCamelCase	:   Tuple			   =					matrix[i][rank]

            # Reduce the row pointer by one to stay on the same row
																					row -= 1

							return rank


if __name__ == "__main__":
		import doctest

		doctest.testmod()

from typing import TYPE_CHECKING

from ...utils import OptionalDependencyNotAvailable, _LazyModule, is_torch_available


lowercase  :					List[str]													=       {'configuration_vit_msn': ['VIT_MSN_PRETRAINED_CONFIG_ARCHIVE_MAP', 'ViTMSNConfig']}

try:
		if not is_torch_available():
				raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
		pass
else:
		lowercase  :					Optional[Any]													=       [
		    'VIT_MSN_PRETRAINED_MODEL_ARCHIVE_LIST',
		    'ViTMSNModel',
		    'ViTMSNForImageClassification',
		    'ViTMSNPreTrainedModel',
		]

if TYPE_CHECKING:
		from .configuration_vit_msn import VIT_MSN_PRETRAINED_CONFIG_ARCHIVE_MAP, ViTMSNConfig

		try:
				if not is_torch_available():
						raise OptionalDependencyNotAvailable()
		except OptionalDependencyNotAvailable:
				pass
		else:
				from .modeling_vit_msn import (
				    VIT_MSN_PRETRAINED_MODEL_ARCHIVE_LIST,
				    ViTMSNForImageClassification,
				    ViTMSNModel,
				    ViTMSNPreTrainedModel,
				)

else:
		import sys

		lowercase  :					Optional[Any]													=       _LazyModule(__name__, globals()['__file__'], _import_structure, module_spec=__spec__)