Serialize and deserialize a binary tree
Company: Amazon
Role: Software Engineer
Category: Coding & Algorithms
Difficulty: hard
Interview Round: Technical Screen
## Problem
Design two functions to **serialize** and **deserialize** a binary tree.
- **Serialize**: convert a binary tree into a single string.
- **Deserialize**: reconstruct the *exact same* binary tree from that string.
Assume the tree nodes are:
- `val` is an integer (may be negative)
- `left` / `right` pointers may be null
### Requirements
1. `deserialize(serialize(root))` must produce a tree structurally identical to `root` with the same node values.
2. Your format must handle:
- empty tree
- missing children (nulls) in arbitrary positions
- large trees (e.g., up to ~10^5 nodes), so time and space complexity matter
3. Explain your chosen encoding format and analyze complexity.
### Example
If the tree is:
- `1` as root
- left child `2`
- right child `3` with children `4` and `5`
Your serialized output could look like (format is up to you):
- `"1,2,#,#,3,4,#,#,5,#,#"`
where `#` indicates null.
Quick Answer: This question evaluates competency in designing robust serialization formats and manipulating binary tree data structures, including preservation of structure and node values, handling nulls, and reasoning about time and space complexity; it sits in the Coding & Algorithms domain (data structures/trees) and requires practical implementation skills alongside conceptual understanding. It is commonly asked to measure a candidate's ability to produce reproducible data representations, handle edge cases such as empty or sparse trees, and reason about performance and correctness for large inputs.