

def      _lowerCAmelCase(	__A			):
  UpperCAmelCase					      =  len(__A			)
  UpperCAmelCase					      =  len(matrix[0]			)
  UpperCAmelCase					      =  min(__A   ,       __A			)

  for row in range(__A			):
    # 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   ,       __A			):
        UpperCAmelCase					      =  matrix[col][row] / matrix[row][row]
        for i in range(__A   ,       __A			):
          matrix[col][i] -= multiplier * matrix[row][i]
    else:
      # Find a non-zero diagonal element to swap rows
      UpperCAmelCase					      =  True
      for i in range(row + 1   ,       __A			):
        if matrix[i][row] != 0:
          UpperCAmelCase      ,	UpperCAmelCase					      =  matrix[i], matrix[row]
          UpperCAmelCase					      =  False
          break
      if reduce:
        rank -= 1
        for i in range(__A			):
          UpperCAmelCase					      =  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()






def      _lowerCAmelCase(	__A			):

  if not isinstance(__A   ,       __A			):
    raise TypeError("only integers accepted as input"			)
  else:
    UpperCAmelCase					      =  str(abs(__A			)			)
    UpperCAmelCase					      =  [list(__A			) for char in range(len(__A			)			)]
    for index in range(len(__A			)			):
      num_transpositions[index].pop(__A			)
    return max(
        int("".join(list(__A			)			)			) for transposition in num_transpositions			)


if __name__ == "__main__":
      __import__("doctest").testmod()



