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Maximum Path Sum between 2 Leaf Nodes
Hard Accuracy: 49.92% Submissions: 89242 Points: 8

Given a binary tree in which each node element contains a number. Find the maximum possible 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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Maximum Path Sum between 2 Leaf Nodes

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