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+ # TC : O(n)
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+ # SC : O(n)
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+ class Solution :
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+ def cloneGraph (self , node : Optional ["Node" ]) -> Optional ["Node" ]:
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+ if not node :
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+ return None
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+
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+ # Dictionary to store cloned nodes
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+ cloned_nodes = {}
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+ # BFS queue starting with the original node
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+ queue = deque ([node ])
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+
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+ # Clone the original node
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+ cloned_node = Node (node .val )
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+ cloned_nodes [node ] = cloned_node
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+
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+ while queue :
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+ current_node = queue .popleft ()
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+
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+ # Iterate through neighbors of the current node
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+ for neighbor in current_node .neighbors :
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+ if neighbor not in cloned_nodes :
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+ # Clone the neighbor and add it to the queue
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+ cloned_neighbor = Node (neighbor .val )
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+ cloned_nodes [neighbor ] = cloned_neighbor
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+ queue .append (neighbor )
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+
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+ # Add the cloned neighbor to the cloned current node's neighbors list
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+ cloned_nodes [current_node ].neighbors .append (cloned_nodes [neighbor ])
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+
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+ return cloned_node
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