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Binary Tree Maximum Path Sum

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A path in a binary tree is a sequence of nodes where each pair of adjacent nodes in the sequence has an edge connecting them. 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.

class Solution:
    def __init__(self):
        self.maxSum = float('-inf')
    def maxPathSum(self, root: TreeNode) -> int:
        def traverse(root):
            if root:
                left = traverse(root.left)
                right = traverse(root.right)
                self.maxSum = max(self.maxSum,root.val, root.val + left, root.val + right, root.val + left + right)
                return max(root.val,root.val + left,root.val + right)
            else:
                return 0
        traverse(root)
        return self.maxSum

Posted by Jamie Meyer 9 months ago

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