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Given a binary tree in which each node element contains a number. Find the maximum possible path sum from one leaf node to another leaf node.
Note: Here Leaf node is a node which is connected to exactly one different node.
Example 1:
Input: 3 / \ 4 5 / \ -10 4 Output: 16 Explanation: Maximum Sum lies between leaf node 4 and 5. 4 + 4 + 3 + 5 = 16.
Example 2:
Input: -15 / \ 5 6 / \ / \ -8 1 3 9 / \ \ 2 -3 0 / \ 4 -1 / 10 Output: 27 Explanation: The maximum possible sum from one leaf node to another is (3 + 6 + 9 + 0 + -1 + 10 = 27)
Your Task:
You dont need to read input or print anything. Complete the function maxPathSum() which takes root node as input parameter and returns the maximum sum between 2 leaf nodes.
Expected Time Complexity: O(N)
Expected Auxiliary Space: O(Height of Tree)
Constraints:
2 ≤ Number of nodes ≤ 104
-103 ≤ Value of each node ≤ 103
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