"""simple docstring"""







from queue import Queue


def 					a__ (						UpperCAmelCase__    :     str     )->		Optional[int]:
						UpperCAmelCase__		=						Queue()
						UpperCAmelCase__		=						[False] * len(UpperCAmelCase__     )
						UpperCAmelCase__		=						[-1] * len(UpperCAmelCase__     )

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

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

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

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

												return True

						for i in range(len(UpperCAmelCase__     )     ):
												if not visited[i]:
																		queue.put(UpperCAmelCase__     )
																		UpperCAmelCase__		=						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"""







class      _lowercase						:

				def __init__(       self    :      Tuple    ,      _lowercase    :      int       ):


										'''simple docstring'''
										UpperCAmelCase__   		=						data
										UpperCAmelCase__   		=						None
										UpperCAmelCase__   		=						None


def 					a__ (						UpperCAmelCase__    :     BinaryTreeNode | None						,     UpperCAmelCase__    :     int     )->		BinaryTreeNode | None:
						if node is None:
												UpperCAmelCase__   		=						BinaryTreeNode(UpperCAmelCase__     )
												return node

						# binary search tree is not empty,
						# so we will insert it into the tree
						# if new_value is less than value of data in node,
						#  add it to left subtree and proceed recursively
						if new_value < node.data:
												UpperCAmelCase__   		=						insert(node.left_child						,     UpperCAmelCase__     )
						else:
												# if new_value is greater than value of data in node,
												#  add it to right subtree and proceed recursively
												UpperCAmelCase__   		=						insert(node.right_child						,     UpperCAmelCase__     )
						return node


def 					a__ (						UpperCAmelCase__    :     None | BinaryTreeNode     )->		list[int]:  # if node is None,return
						if node:
												UpperCAmelCase__   		=						inorder(node.left_child     )
												UpperCAmelCase__   		=						[*inorder_array, node.data]
												UpperCAmelCase__   		=						inorder_array + inorder(node.right_child     )
						else:
												UpperCAmelCase__   		=						[]
						return inorder_array


def 					a__ (						)->		BinaryTreeNode | None:
						UpperCAmelCase__   		=						insert(UpperCAmelCase__						,     1_5     )
						insert(UpperCAmelCase__						,     1_0     )
						insert(UpperCAmelCase__						,     2_5     )
						insert(UpperCAmelCase__						,     6     )
						insert(UpperCAmelCase__						,     1_4     )
						insert(UpperCAmelCase__						,     2_0     )
						insert(UpperCAmelCase__						,     6_0     )
						return root


def 					a__ (						)->		None:
						# main function
						UpperCAmelCase__   		=						make_tree()
						print("""Printing values of binary search tree in Inorder Traversal."""     )
						inorder(UpperCAmelCase__     )


if __name__ == "__main__":
						import doctest

						doctest.testmod()
						main()

