


"""simple docstring"""


from importlib import import_module

from .logging import get_logger


_snake_case          =							get_logger(__name__)



class   _a      :
    def __init__( self							:					List[str]							,					SCREAMING_SNAKE_CASE__							:					str							,					SCREAMING_SNAKE_CASE__							:					Dict=None				):
          lowerCamelCase__           =		attrs or []
          if module is not None:
                for key in module.__dict__:
                      if key in attrs or not key.startswith('__'				):
                            setattr(self							,					SCREAMING_SNAKE_CASE__							,					getattr(SCREAMING_SNAKE_CASE__							,					SCREAMING_SNAKE_CASE__				)				)
          lowerCamelCase__           =		module._original_module if isinstance(SCREAMING_SNAKE_CASE__							,					_PatchedModuleObj				) else module





class   _a      :
    a_    :				Any             =    []
    def __init__( self							:					Optional[Any]							,					SCREAMING_SNAKE_CASE__							:					Tuple							,					SCREAMING_SNAKE_CASE__							:					str							,					SCREAMING_SNAKE_CASE__							:					List[str]							,					SCREAMING_SNAKE_CASE__							:					int=None				):
          lowerCamelCase__           =		obj
          lowerCamelCase__           =		target
          lowerCamelCase__           =		new
          lowerCamelCase__           =		target.split('.'				)[0]
          lowerCamelCase__           =		{}
          lowerCamelCase__           =		attrs or []
    def __enter__( self							:					int				):
          *lowerCamelCase__    ,  lowerCamelCase__           =		self.target.split('.'				)

          # Patch modules:
          # it's used to patch attributes of submodules like "os.path.join";
          # in this case we need to patch "os" and "os.path"

          for i in range(len(SCREAMING_SNAKE_CASE__				)				):
                try:
                      lowerCamelCase__           =		import_module('.'.join(submodules[: i + 1]				)				)
                except ModuleNotFoundError:
                      continue
                # We iterate over all the globals in self.obj in case we find "os" or "os.path"
                for attr in self.obj.__dir__():
                      lowerCamelCase__           =		getattr(self.obj							,					SCREAMING_SNAKE_CASE__				)
                      # We don't check for the name of the global, but rather if its value *is* "os" or "os.path".
                      # This allows to patch renamed modules like "from os import path as ospath".
                      if obj_attr is submodule or (
                          (isinstance(SCREAMING_SNAKE_CASE__							,					_PatchedModuleObj				) and obj_attr._original_module is submodule)
                      ):
                            lowerCamelCase__           =		obj_attr
                            # patch at top level
                            setattr(self.obj							,					SCREAMING_SNAKE_CASE__							,					_PatchedModuleObj(SCREAMING_SNAKE_CASE__							,					attrs=self.attrs				)				)
                            lowerCamelCase__           =		getattr(self.obj							,					SCREAMING_SNAKE_CASE__				)
                            # construct lower levels patches
                            for key in submodules[i + 1 :]:
                                  setattr(SCREAMING_SNAKE_CASE__							,					SCREAMING_SNAKE_CASE__							,					_PatchedModuleObj(getattr(SCREAMING_SNAKE_CASE__							,					SCREAMING_SNAKE_CASE__							,					SCREAMING_SNAKE_CASE__				)							,					attrs=self.attrs				)				)
                                  lowerCamelCase__           =		getattr(SCREAMING_SNAKE_CASE__							,					SCREAMING_SNAKE_CASE__				)
                            # finally set the target attribute
                            setattr(SCREAMING_SNAKE_CASE__							,					SCREAMING_SNAKE_CASE__							,					self.new				)

        # Patch attribute itself:
        # it's used for builtins like "open",
        # and also to patch "os.path.join" we may also need to patch "join"
        # itself if it was imported as "from os.path import join".

          if submodules:  # if it's an attribute of a submodule like "os.path.join"
                try:
                      lowerCamelCase__           =		getattr(import_module('.'.join(SCREAMING_SNAKE_CASE__				)				)							,					SCREAMING_SNAKE_CASE__				)
                except (AttributeError, ModuleNotFoundError):
                      return
                # We iterate over all the globals in self.obj in case we find "os.path.join"
                for attr in self.obj.__dir__():
                      # We don't check for the name of the global, but rather if its value *is* "os.path.join".
                      # This allows to patch renamed attributes like "from os.path import join as pjoin".
                      if getattr(self.obj							,					SCREAMING_SNAKE_CASE__				) is attr_value:
                            lowerCamelCase__           =		getattr(self.obj							,					SCREAMING_SNAKE_CASE__				)
                            setattr(self.obj							,					SCREAMING_SNAKE_CASE__							,					self.new				)
          elif target_attr in globals()["__builtins__"]:  # if it'a s builtin like "open"
                lowerCamelCase__           =		globals()['__builtins__'][target_attr]
                setattr(self.obj							,					SCREAMING_SNAKE_CASE__							,					self.new				)
          else:
                raise RuntimeError(F'Tried to patch attribute {target_attr} instead of a submodule.'				)
    def __exit__( self							:					Union[str, Any]							,					*SCREAMING_SNAKE_CASE__							:					int				):
          for attr in list(self.original				):
                setattr(self.obj							,					SCREAMING_SNAKE_CASE__							,					self.original.pop(SCREAMING_SNAKE_CASE__				)				)
    def      _UpperCamelCase       ( self							:					Any				):
          self.__enter__()
          self._active_patches.append(self				)


    def      _UpperCamelCase       ( self							:					Tuple				):
          try:
                self._active_patches.remove(self				)
          except ValueError:
                # If the patch hasn't been started this will fail
                return None

          return self.__exit__()







"""simple docstring"""


# 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						(				_a:     Optional[Any]							)->		Union[str, Any]:
      '''simple docstring'''


      lowerCamelCase__           =		[False] * len(_a							)
      lowerCamelCase__           =		[-1] * len(_a							)

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

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

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

      return True


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






print(check_bipartite_dfs(graph))



