






# Lint as: python3
import itertools
import os
import re


A_		:		Dict		     =			re.compile(r'([A-Z]+)([A-Z][a-z])')
A_		:		List[str]		     =			re.compile(r'([a-z\d])([A-Z])')

A_		:		Optional[int]		     =			re.compile(r'(?<!_)_(?!_)')
A_		:		Tuple		     =			re.compile(r'(_{2,})')

A_		:		Tuple		     =			r'^\w+(\.\w+)*$'

A_		:		List[str]		     =			r'<>:/\|?*'

def   snake_case (UpperCAmelCase__  )	->    Dict:
  UpperCamelCase_: List[Any]   				=    _uppercase_uppercase_re.sub(R'\1_\2'     ,   UpperCAmelCase__  )
  UpperCamelCase_: int   				=    _lowercase_uppercase_re.sub(R'\1_\2'     ,   UpperCAmelCase__  )
  return name.lower()

def   snake_case (UpperCAmelCase__  )	->    Optional[int]:
  UpperCamelCase_: int   				=    _single_underscore_re.split(UpperCAmelCase__  )
  UpperCamelCase_: Dict   				=    [_multiple_underscores_re.split(UpperCAmelCase__  ) for n in name]
  return "".join(n.capitalize() for n in itertools.chain.from_iterable(UpperCAmelCase__  ) if n != ''  )

def   snake_case (UpperCAmelCase__  )	->    Dict:
  if os.path.basename(UpperCAmelCase__  ) != name:
    raise ValueError(F'''Should be a dataset name, not a path: {name}'''  )
  return camelcase_to_snakecase(UpperCAmelCase__  )

def   snake_case (UpperCAmelCase__     ,   UpperCAmelCase__  )	->    List[Any]:
  if os.path.basename(UpperCAmelCase__  ) != name:
    raise ValueError(F'''Should be a dataset name, not a path: {name}'''  )
  if not re.match(_split_re     ,   UpperCAmelCase__  ):
    raise ValueError(F'''Split name should match \'{_split_re}\'\' but got \'{split}\'.'''  )
  return F'''{filename_prefix_for_name(UpperCAmelCase__  )}-{split}'''

def   snake_case (UpperCAmelCase__     ,   UpperCAmelCase__     ,   UpperCAmelCase__     ,   UpperCAmelCase__=None  )	->    Union[str, Any]:
  UpperCamelCase_: List[Any]   				=    filename_prefix_for_split(UpperCAmelCase__     ,   UpperCAmelCase__  )
  if filetype_suffix:
    prefix += F'''.{filetype_suffix}'''
  UpperCamelCase_: Optional[int]   				=    os.path.join(UpperCAmelCase__     ,   UpperCAmelCase__  )
  return F'''{filepath}*'''

def   snake_case (UpperCAmelCase__     ,   UpperCAmelCase__     ,   UpperCAmelCase__     ,   UpperCAmelCase__=None     ,   UpperCAmelCase__=None  )	->    List[Any]:
  UpperCamelCase_: Dict   				=    filename_prefix_for_split(UpperCAmelCase__     ,   UpperCAmelCase__  )
  UpperCamelCase_: Dict   				=    os.path.join(UpperCAmelCase__     ,   UpperCAmelCase__  )

  if shard_lengths:
    UpperCamelCase_: str   				=    len(UpperCAmelCase__  )
    UpperCamelCase_: Dict   				=    [F'''{prefix}-{shard_id:05d}-of-{num_shards:05d}''' for shard_id in range(UpperCAmelCase__  )]
    if filetype_suffix:
      UpperCamelCase_: List[str]   				=    [filename + F'''.{filetype_suffix}''' for filename in filenames]
    return filenames
  else:
    UpperCamelCase_: Optional[Any]   				=    prefix
    if filetype_suffix:
      filename += F'''.{filetype_suffix}'''
    return [filename]







# A Bipartite Graph is a graph whose vertices can be divided into two independent sets,
# U and V such that every edge (u, v) either connects a vertex from U to V or a vertex
# from V to U. In other words, for every edge (u, v), either u belongs to U and v to V,
# or u belongs to V and v to U. We can also say that there is no edge that connects
# vertices of same set.

def   snake_case (UpperCAmelCase__  )	->    List[str]:
  UpperCamelCase_: int   				=    [False] * len(UpperCAmelCase__  )
  UpperCamelCase_: Any   				=    [-1] * len(UpperCAmelCase__  )

  def dfs(UpperCAmelCase__     ,   UpperCAmelCase__  ):
    UpperCamelCase_: Tuple   				=    True
    UpperCamelCase_: Optional[int]   				=    c
    for u in graph[v]:
      if not visited[u]:
        dfs(UpperCAmelCase__     ,   1 - c  )

  for i in range(len(UpperCAmelCase__  )  ):
    if not visited[i]:
      dfs(UpperCAmelCase__     ,   0  )

  for i in range(len(UpperCAmelCase__  )  ):
    for j in graph[i]:
      if color[i] == color[j]:
        return False

  return True


# Adjacency list of graph
A_		:		Dict		     =			{0: [1, 3], 1: [0, 2], 2: [1, 3], 3: [0, 2], 4: []}
print(check_bipartite_dfs(graph))