What is the time and space complexity of Find Node in DOM Trees?

Time complexity: O(d) where d is the tree depth. Space complexity: O(d) for the path array.

Find Node in DOM Trees

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Solution Guide: Find Node in DOM Trees

Approach

Walk from the target node up to the root in Tree A, recording the child index at each level to build a path. Then follow that same index path from the root of Tree B downward to locate the corresponding node.

Complexity Analysis

Time: O(d) where d is the tree depth
Space: O(d) for the path array

Pattern

Tree Path Traversal

Why It Works

Since both trees have identical structure, a node's position is uniquely identified by its index path from the root. Replaying that path in the clone tree lands on the structurally equivalent node.

Updated Feb 2026