This solution tackles the Serialize and Deserialize Binary Tree problem using a BFS level‑order traversal approach. The goal is to convert a binary tree into a string representation and rebuild it, preserving its structure.
Key Concepts:
BFS Level‑Order Traversal:
We use a queue to traverse the tree level by level, ensuring that nodes are processed in the order they appear.
Null Markers:
The marker "#" is used to represent null nodes, ensuring that the structure (including missing children) is maintained.
Step‑by‑Step Explanation:
TreeNode Definition:
Similar to the DFS solution, we define a basic TreeNode class.
class TreeNode:
def __init__(self, val=0, left=None, right=None):
self.val = val
self.left = left
self.right = right
#TreeNode #DataStructure
Serialization (BFS):
The serialize method uses a deque to perform level‑order traversal. Each node's value is added to the result list; if a node is null, "#" is appended. The final list is joined into a string.
def serialize(self, root):
if not root:
return ""
q = deque([root])
result = []
while q:
node = q.popleft()
if node:
result.append(str(node.val))
q.append(node.left)
q.append(node.right)
else:
result.append('#')
return ' '.join(result)
#BFS #LevelOrder #Serialization
Deserialization (BFS):
The deserialize method reconstructs the tree from the serialized string. It uses a deque to assign left and right children for each node in a level‑order manner.
def deserialize(self, data):
if not data:
return None
values = data.split()
root = TreeNode(int(values[0]))
q = deque([root])
i = 1
while q:
node = q.popleft()
if values[i] != '#':
node.left = TreeNode(int(values[i]))
q.append(node.left)
i += 1
if values[i] != '#':
node.right = TreeNode(int(values[i]))
q.append(node.right)
i += 1
return root
#BFS #TreeReconstruction #Deserialization
Real‑World Applications:
The BFS approach is useful for encoding trees in a way that preserves their structure exactly, which is critical in network transmissions, file storage, and system design.
Code:
BFS Level‑Order Approach for Serialize & Deserialize Binary Tree
from collections import deque
class TreeNode:
def __init__(self, val=0, left=None, right=None):
self.val = val
self.left = left
self.right = right
class CodecBFS:
def serialize(self, root):
if not root:
return ""
q = deque([root])
result = []
while q:
node = q.popleft()
if node:
result.append(str(node.val))
q.append(node.left)
q.append(node.right)
else:
result.append('#')
return ' '.join(result)
def deserialize(self, data):
if not data:
return None
values = data.split()
root = TreeNode(int(values[0]))
q = deque([root])
i = 1
while q:
node = q.popleft()
if values[i] != '#':
node.left = TreeNode(int(values[i]))
q.append(node.left)
i += 1
if values[i] != '#':
node.right = TreeNode(int(values[i]))
q.append(node.right)
i += 1
return root
Example usage:
if _name_ == "__main__":
Constructing a sample tree:
1
/ \
2 3
/ \
4 5
root = TreeNode(1, TreeNode(2), TreeNode(3, TreeNode(4), TreeNode(5)))
codec_bfs = CodecBFS()
serialized_bfs = codec_bfs.serialize(root)
print("BFS Serialized:", serialized_bfs)
deserialized_root_bfs = codec_bfs.deserialize(serialized_bfs)
(Traverse deserialized_root_bfs to verify correctness)
#SerializeDeserialize #BinaryTree #BFS #LevelOrder #CodingInterview #PythonDSA
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