Web Reference: A node can only appear in the sequence at most once. Note that the path does not need to pass through the root. The path sum of a path is the sum of the node's values in the path. Given the root of a binary tree, return the maximum path sum of any non-empty path. Oct 7, 2025 · Any maximum path in a binary tree must pass through some "highest" node (its root in that path). By considering every node as a possible highest point and updating the maximum with left + node + right, we guarantee that the best path is captured. In-depth solution and explanation for LeetCode 124. Binary Tree Maximum Path Sum in Python, Java, C++ and more. Intuitions, example walk through, and complexity analysis. Better than official and forum solutions.
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