Same Tree
Given the roots of two binary trees, return true if the trees are structurally identical and every corresponding node has the same value.
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Problem
Given the roots of two binary trees p and q, write a function to check if they are the same or not.
Input
The roots of two binary trees, `p` and `q`. Each is represented as a level-order array.
Output
A boolean: `true` if the two trees are identical in structure and values, `false` otherwise.
Examples
Input: p = [1,2,3], q = [1,2,3]
Output: true
Both trees have the same structure and values.
Input: p = [1,2], q = [1,null,2]
Output: false
Both have value 2, but in p it's the left child; in q it's the right child.
Input: p = [1,2,1], q = [1,1,2]
Output: false
Root is the same, but children are swapped.
The brute-force approach
Serialize both trees to strings (level-order) and compare the strings.
def serialize(node):
if not node:
return 'null'
return f'{node.val},{serialize(node.left)},{serialize(node.right)}'
return serialize(p) == serialize(q)Serializing is O(n) time and O(n) space, and it works. But the direct recursive comparison is also O(n) and more natural, and it short-circuits as soon as it finds a mismatch, without building any strings.
Spotting the pattern
This is a Tree Traversal problem. The key question to ask yourself:
Can I recursively compare corresponding nodes in both trees and short-circuit on any mismatch?
Answering that is where it clicks, and it's exactly what the guided walkthrough below builds with you: the pattern reasoning, a progressive hint ladder that never spoils the answer, a row-by-row dry run, the optimized solution, and an in-browser editor to run your code against real test cases.
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