


# 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 	a_      (    SCREAMING_SNAKE_CASE__					:      int     ):
       '''simple docstring'''





       _lowerCamelCase       :		Tuple		=[False] * len(SCREAMING_SNAKE_CASE__     )
       _lowerCamelCase       :		Union[str, Any]		=[-1] * len(SCREAMING_SNAKE_CASE__     )

       def dfs(SCREAMING_SNAKE_CASE__					:      int		,			SCREAMING_SNAKE_CASE__					:      Any     ):
              _lowerCamelCase       :		Any		=True
              _lowerCamelCase       :		Any		=c
              for u in graph[v]:
                     if not visited[u]:
                            dfs(SCREAMING_SNAKE_CASE__		,			1 - c     )

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

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

       return True


# Adjacency list of graph
lowerCamelCase											=       {0: [1, 3], 1: [0, 2], 2: [1, 3], 3: [0, 2], 4: []}


print(check_bipartite_dfs(graph))






import sys

from .dependency_versions_table import deps
from .utils.versions import require_version, require_version_core


# define which module versions we always want to check at run time
# (usually the ones defined in `install_requires` in setup.py)
#
# order specific notes:
# - tqdm must be checked before tokenizers

lowerCamelCase											=       'python tqdm regex requests packaging filelock numpy tokenizers'.split()
if sys.version_info < (3, 7):
 pkgs_to_check_at_runtime.append('dataclasses')
if sys.version_info < (3, 8):
 pkgs_to_check_at_runtime.append('importlib_metadata')

for pkg in pkgs_to_check_at_runtime:
 if pkg in deps:
  if pkg == "tokenizers":
   # must be loaded here, or else tqdm check may fail
   from .utils import is_tokenizers_available

   if not is_tokenizers_available():
    continue  # not required, check version only if installed

  require_version_core(deps[pkg])
 else:
  raise ValueError(F"""can't find {pkg} in {deps.keys()}, check dependency_versions_table.py""")




def 	a_      (    SCREAMING_SNAKE_CASE__					:      int		,			SCREAMING_SNAKE_CASE__					:      str=None     ):
       '''simple docstring'''





       require_version(deps[pkg]		,			SCREAMING_SNAKE_CASE__     )


