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/**
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* Definition for a binary tree node.
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* struct TreeNode {
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* int val;
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* TreeNode *left;
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* TreeNode *right;
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* TreeNode() : val(0), left(nullptr), right(nullptr) {}
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* TreeNode(int x) : val(x), left(nullptr), right(nullptr) {}
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* TreeNode(int x, TreeNode *left, TreeNode *right) : val(x), left(left), right(right) {}
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* };
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*/
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class Solution {
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public:
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int solve(TreeNode* root, int &maxSum){
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if(!root) return 0;
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int leftHeight = max(0, solve(root->left, maxSum));
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int rightHeight = max(0, solve(root->right, maxSum));
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maxSum = max(maxSum, leftHeight + rightHeight + root->val);
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return max(leftHeight, rightHeight) + root->val;
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}
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int maxPathSum(TreeNode* root) {
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int maxSum = INT_MIN;
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solve(root, maxSum);
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return maxSum;
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}
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};

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