





'''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.
from queue import Queue





def    _lowerCAmelCase						(						lowercase	)					->					int:
			__lowerCAmelCase											=				Queue()
			__lowerCAmelCase											=				[False] * len(lowercase	)
			__lowerCAmelCase											=				[-1] * len(lowercase	)

			def bfs():
						while not queue.empty():
									__lowerCAmelCase											=				queue.get()
									__lowerCAmelCase											=				True

									for neighbour in graph[u]:
												if neighbour == u:
															return False

												if color[neighbour] == -1:
															__lowerCAmelCase											=				1 - color[u]
															queue.put(lowercase	)

												elif color[neighbour] == color[u]:
															return False

						return True

			for i in range(len(lowercase	)	):
						if not visited[i]:
									queue.put(lowercase	)
									__lowerCAmelCase											=				0
									if bfs() is False:
												return False

			return True


if __name__ == "__main__":
	# Adjacency List of graph
	print(check_bipartite({0: [1, 3], 1: [0, 2], 2: [1, 3], 3: [0, 2]}))








'''simple docstring'''







# Lint as: python3

import hashlib
from typing import Union





def    _lowerCAmelCase						(						lowercase	)					->					bytes:
			if isinstance(lowercase					,	lowercase	):
						# Data already in bytes, returns as it as
						return hash_data
			elif isinstance(lowercase					,	lowercase	):
						# We keep the data as it as for it ot be later encoded to UTF-8
						# However replace `\\` with `/` for Windows compatibility
						__lowerCAmelCase											=				hash_data.replace("""\\"""					,	"""/"""	)
			elif isinstance(lowercase					,	lowercase	):
						__lowerCAmelCase											=				str(lowercase	)
			else:
						# If data is not of the required type, raise error
						raise InvalidKeyError(lowercase	)

			return hash_data.encode("""utf-8"""	)





class     _UpperCAmelCase							(						lowerCAmelCase_   ):
		def __init__(  self,__SCREAMING_SNAKE_CASE			):



					'''simple docstring'''

					__lowerCAmelCase											=				"""\nFAILURE TO GENERATE DATASET: Invalid key type detected"""
					__lowerCAmelCase											=				f'\nFound Key {hash_data} of type {type(__SCREAMING_SNAKE_CASE			)}'
					__lowerCAmelCase											=				"""\nKeys should be either str, int or bytes type"""
					super().__init__(f'{self.prefix}{self.err_msg}{self.suffix}'			)





class     _UpperCAmelCase							(						lowerCAmelCase_   ):
		def __init__(  self,__SCREAMING_SNAKE_CASE,__SCREAMING_SNAKE_CASE,__SCREAMING_SNAKE_CASE=""			):



					'''simple docstring'''

					__lowerCAmelCase											=				key
					__lowerCAmelCase											=				duplicate_key_indices
					__lowerCAmelCase											=				fix_msg
					__lowerCAmelCase											=				"""Found multiple examples generated with the same key"""
					if len(__SCREAMING_SNAKE_CASE			) <= 20:
								__lowerCAmelCase											=				f'\nThe examples at index {", ".join(__SCREAMING_SNAKE_CASE			)} have the key {key}'
					else:
								__lowerCAmelCase											=				f'\nThe examples at index {", ".join(duplicate_key_indices[:20]			)}... ({len(__SCREAMING_SNAKE_CASE			) - 20} more) have the key {key}'
					__lowerCAmelCase											=				"""\n""" + fix_msg if fix_msg else """"""
					super().__init__(f'{self.prefix}{self.err_msg}{self.suffix}'			)





class     _UpperCAmelCase							:
		def __init__(  self,__SCREAMING_SNAKE_CASE			):



					'''simple docstring'''

					__lowerCAmelCase											=				hashlib.mda(_as_bytes(__SCREAMING_SNAKE_CASE			)			)







		def   lowerCamelCase__			(  self,__SCREAMING_SNAKE_CASE			):



					'''simple docstring'''

					__lowerCAmelCase											=				self._split_mda.copy()
					__lowerCAmelCase											=				_as_bytes(__SCREAMING_SNAKE_CASE			)
					mda.update(__SCREAMING_SNAKE_CASE			)
					# Convert to integer with hexadecimal conversion
					return int(mda.hexdigest(),16			)

