I went with preorder traversal and used a sentinel value for null nodes, something like '#' separated by commas.
Choose a serialization format that explicitly marks null children (e.g., preorder with '#' for nulls) to ensure the tree structure is fully recoverable. Implement encode as a recursive preorder traversal that appends node values and null markers to a string, and decode by parsing the string sequentially to rebuild the tree. Explain why this format is unambiguous and efficient.
Pro tip: Mention that using a delimiter (like comma) and a null marker (like '#') prevents ambiguity with negative numbers or multi-digit values, and discuss how your approach handles edge cases like empty trees or skewed trees.
Ask about the tree type (binary, not necessarily BST), allowed characters, and whether the serialized string needs to be human-readable. Confirm that the tree may be empty and that node values can be any integer.
Select a format that includes null markers, such as preorder traversal with '#' for null and commas as delimiters. Explain why this format is unambiguous and allows exact reconstruction.
Write a recursive function that performs preorder traversal, appending node values and '#' for null children to a list, then join with commas. Ensure the base case handles null nodes.
Split the string by commas and use an iterator or index to consume tokens. Recursively build the tree: if token is '#', return null; otherwise create a node and recursively decode left and right subtrees.
State that both encode and decode run in O(n) time and O(n) space, where n is the number of nodes. Discuss alternative formats (e.g., level-order, parentheses) and their trade-offs in readability and efficiency.
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