





def       _A  (      lowerCamelCase   ):
			a__	:						int      		=  len(lowerCamelCase   )
			a__	:						Any      		=  len(matrix[0]   )
			a__	:						Dict      		=  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   ):
												a__	:						Union[str, Any]      		=  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
									a__	:						Optional[Any]      		=  True
									for i in range(row + 1							, lowerCamelCase   ):
												if matrix[i][row] != 0:
															a__	:						List[str]      		=  matrix[i], matrix[row]
															a__	:						Optional[Any]      		=  False
															break
									if reduce:
												rank -= 1
												for i in range(lowerCamelCase   ):
															a__	:						int      		=  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


SCREAMING_SNAKE_CASE__       :			Any			      =						{"""configuration_sew""": ["""SEW_PRETRAINED_CONFIG_ARCHIVE_MAP""", """SEWConfig"""]}

try:
  if not is_torch_available():
    raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
  pass
else:
  SCREAMING_SNAKE_CASE__       :			Union[str, Any]			      =						[
      """SEW_PRETRAINED_MODEL_ARCHIVE_LIST""",
      """SEWForCTC""",
      """SEWForSequenceClassification""",
      """SEWModel""",
      """SEWPreTrainedModel""",
  ]

if TYPE_CHECKING:
  from .configuration_sew import SEW_PRETRAINED_CONFIG_ARCHIVE_MAP, SEWConfig

  try:
    if not is_torch_available():
      raise OptionalDependencyNotAvailable()
  except OptionalDependencyNotAvailable:
    pass
  else:
    from .modeling_sew import (
        SEW_PRETRAINED_MODEL_ARCHIVE_LIST,
        SEWForCTC,
        SEWForSequenceClassification,
        SEWModel,
        SEWPreTrainedModel,
    )


else:
  import sys

  SCREAMING_SNAKE_CASE__       :			Optional[int]			      =						_LazyModule(__name__, globals()["""__file__"""], _import_structure, module_spec=__spec__)

