





def      _A       (		SCREAMING_SNAKE_CASE     :   Optional[Any]						):





  """simple docstring"""



  a__	:					Union[str, Any]										=current_set.copy()
  for row_index, row in enumerate(_SCREAMING_SNAKE_CASE						):
    a__	:					Any										=row[0]
    for column_index, column in enumerate(_SCREAMING_SNAKE_CASE						):
      if magnitude == 0:
        a__	:					Union[str, Any]										=column
        continue
      a__	:					str										=column / magnitude
    # Subtract to cancel term
  a__	:					Dict										=current_set[0]
  a__	:					List[str]										=[first_row]
  a__	:					List[str]										=current_set[1::]
  for row in current_set:
    a__	:					Any										=[]
    # If first term is 0, it is already in form we want, so we preserve it
    if row[0] == 0:
      final_set.append(_SCREAMING_SNAKE_CASE						)
      continue
    for column_index in range(len(_SCREAMING_SNAKE_CASE						)						):
      temp_row.append(first_row[column_index] - row[column_index]						)
    final_set.append(_SCREAMING_SNAKE_CASE						)
  # Create next recursion iteration set
  if len(final_set[0]						) != 3:
    a__	:					Optional[Any]										=final_set[0]
    a__	:					List[Any]										=[]
    a__	:					List[Any]										=[]
    for row in final_set[1::]:
      current_first_column.append(row[0]						)
      next_iteration.append(row[1::]						)
    a__	:					Optional[Any]										=simplify(_SCREAMING_SNAKE_CASE						)
    for i in range(len(_SCREAMING_SNAKE_CASE						)						):
      resultant[i].insert(0       ,       current_first_column[i]						)
    resultant.insert(0       ,       _SCREAMING_SNAKE_CASE						)
    a__	:					int										=resultant
  return final_set
def      _A       (		SCREAMING_SNAKE_CASE     :   int						):





  """simple docstring"""



  if len(_SCREAMING_SNAKE_CASE						) == 0:
    raise IndexError("solve_simultaneous() requires n lists of length n+1"						)
  a__	:					str										=len(_SCREAMING_SNAKE_CASE						) + 1
  if any(len(_SCREAMING_SNAKE_CASE						) != _length for item in equations						):
    raise IndexError("solve_simultaneous() requires n lists of length n+1"						)
  for row in equations:
    if any(not isinstance(_SCREAMING_SNAKE_CASE       ,       (int, float)						) for column in row						):
      raise ValueError("solve_simultaneous() requires lists of integers"						)
  if len(_SCREAMING_SNAKE_CASE						) == 1:
    return [equations[0][-1] / equations[0][0]]
  a__	:					Tuple										=equations.copy()
  if any(0 in row for row in data_set						):
    a__	:					Dict										=data_set.copy()
    a__	:					Any										=[]
    for row_index, row in enumerate(_SCREAMING_SNAKE_CASE						):
      if 0 not in row:
        a__	:					Union[str, Any]										=data_set.pop(_SCREAMING_SNAKE_CASE						)
        break
    if not full_row:
      raise ValueError("solve_simultaneous() requires at least 1 full equation"						)
    data_set.insert(0       ,       _SCREAMING_SNAKE_CASE						)
  a__	:					Union[str, Any]										=data_set.copy()
  a__	:					Union[str, Any]										=simplify(_SCREAMING_SNAKE_CASE						)
  a__	:					int										=simplified[::-1]
  a__	:					Optional[int]										=[]
  for row in simplified:
    a__	:					str										=row[-1]
    if not solutions:
      if row[-2] == 0:
        solutions.append(0						)
        continue
      solutions.append(current_solution / row[-2]						)
      continue
    a__	:					Dict										=row.copy()[: len(_SCREAMING_SNAKE_CASE						) - 1 :]
    while temp_row[0] == 0:
      temp_row.pop(0						)
    if len(_SCREAMING_SNAKE_CASE						) == 0:
      solutions.append(0						)
      continue
    a__	:					Any										=temp_row[1::]
    a__	:					List[str]										=temp_row[::-1]
    for column_index, column in enumerate(_SCREAMING_SNAKE_CASE						):
      current_solution -= column * solutions[column_index]
    solutions.append(_SCREAMING_SNAKE_CASE						)
  a__	:					Tuple										=[]
  for item in solutions:
    final.append(float(round(_SCREAMING_SNAKE_CASE       ,       5						)						)						)
  return final[::-1]


if __name__ == "__main__":
     import doctest

     doctest.testmod()
     UpperCAmelCase	:	Any		     =       [
         [2, 1, 1, 1, 1, 4],
         [1, 2, 1, 1, 1, 5],
         [1, 1, 2, 1, 1, 6],
         [1, 1, 1, 2, 1, 7],
         [1, 1, 1, 1, 2, 8],
     ]
     print(solve_simultaneous(eq))
     print(solve_simultaneous([[4, 2]]))













import importlib
import shutil
import threading
import warnings
from typing import List

import fsspec
import fsspec.asyn

from . import compression
from .hffilesystem import HfFileSystem


SCREAMING_SNAKE_CASE_						   =       importlib.util.find_spec("""s3fs""") is not None

if _has_safs:
      from .safilesystem import SaFileSystem  # noqa: F401

SCREAMING_SNAKE_CASE_						   =       [
    compression.BzaFileSystem,
    compression.GzipFileSystem,
    compression.LzaFileSystem,
    compression.XzFileSystem,
    compression.ZstdFileSystem,
]

# Register custom filesystems
for fs_class in COMPRESSION_FILESYSTEMS + [HfFileSystem]:
      if fs_class.protocol in fsspec.registry and fsspec.registry[fs_class.protocol] is not fs_class:
            warnings.warn(F'''A filesystem protocol was already set for {fs_class.protocol} and will be overwritten.''')
      fsspec.register_implementation(fs_class.protocol, fs_class, clobber=True)



def    __lowercase   (      _SCREAMING_SNAKE_CASE	) ->   str:


      '''simple docstring'''


      if "://" in dataset_path:
            SCREAMING_SNAKE_CASE		=						dataset_path.split("""://"""	)[1]
      return dataset_path



def    __lowercase   (      _SCREAMING_SNAKE_CASE	) ->   bool:


      '''simple docstring'''


      if fs is not None and fs.protocol != "file":
            return True
      else:
            return False



def    __lowercase   (      _SCREAMING_SNAKE_CASE ,						_SCREAMING_SNAKE_CASE ,						_SCREAMING_SNAKE_CASE	) ->   Dict:


      '''simple docstring'''


      SCREAMING_SNAKE_CASE		=						not is_remote_filesystem(_SCREAMING_SNAKE_CASE	)
      if is_local:
            # LocalFileSystem.mv does copy + rm, it is more efficient to simply move a local directory
            shutil.move(fs._strip_protocol(_SCREAMING_SNAKE_CASE	) ,						fs._strip_protocol(_SCREAMING_SNAKE_CASE	)	)
      else:
            fs.mv(_SCREAMING_SNAKE_CASE ,						_SCREAMING_SNAKE_CASE ,						recursive=_SCREAMING_SNAKE_CASE	)



def    __lowercase   (      ) ->   None:


      '''simple docstring'''


      if hasattr(fsspec.asyn ,						"""reset_lock"""	):
            # for future fsspec>2022.05.0
            fsspec.asyn.reset_lock()
      else:
            SCREAMING_SNAKE_CASE		=						None
            SCREAMING_SNAKE_CASE		=						None
            SCREAMING_SNAKE_CASE		=						threading.Lock()


